Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [76,2,Mod(27,76)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(76, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("76.27");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 76 = 2^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 76.f (of order \(6\), degree \(2\), 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: | \(0.606863055362\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 3 x^{15} + 6 x^{14} - 9 x^{13} + 12 x^{12} - 9 x^{11} + 3 x^{10} + 6 x^{9} - 10 x^{8} + \cdots + 256 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 27.1 | ||
Root | \(1.05003 - 0.947334i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 76.27 |
Dual form | 76.2.f.a.31.1 |
$q$-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 \(\left(\mathbb{Z}/76\mathbb{Z}\right)^\times\).
\(n\) | \(21\) | \(39\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.34543 | − | 0.435684i | −0.951362 | − | 0.308075i | ||||
\(3\) | 0.982349 | − | 1.70148i | 0.567160 | − | 0.982349i | −0.429686 | − | 0.902979i | \(-0.641376\pi\) |
0.996845 | − | 0.0793705i | \(-0.0252910\pi\) | |||||||
\(4\) | 1.62036 | + | 1.17236i | 0.810179 | + | 0.586182i | ||||
\(5\) | −0.349646 | + | 0.605604i | −0.156366 | + | 0.270834i | −0.933556 | − | 0.358432i | \(-0.883311\pi\) |
0.777189 | + | 0.629267i | \(0.216645\pi\) | |||||||
\(6\) | −2.06299 | + | 1.86122i | −0.842211 | + | 0.759842i | ||||
\(7\) | − | 3.80025i | − | 1.43636i | −0.695858 | − | 0.718179i | \(-0.744976\pi\) | ||
0.695858 | − | 0.718179i | \(-0.255024\pi\) | |||||||
\(8\) | −1.66930 | − | 2.28330i | −0.590186 | − | 0.807268i | ||||
\(9\) | −0.430019 | − | 0.744815i | −0.143340 | − | 0.248272i | ||||
\(10\) | 0.734275 | − | 0.662462i | 0.232198 | − | 0.209489i | ||||
\(11\) | 2.16607i | 0.653094i | 0.945181 | + | 0.326547i | \(0.105885\pi\) | ||||
−0.945181 | + | 0.326547i | \(0.894115\pi\) | |||||||
\(12\) | 3.58651 | − | 1.60533i | 1.03534 | − | 0.463420i | ||||
\(13\) | 1.16473 | − | 0.672457i | 0.323038 | − | 0.186506i | −0.329708 | − | 0.944083i | \(-0.606950\pi\) |
0.652746 | + | 0.757577i | \(0.273617\pi\) | |||||||
\(14\) | −1.65571 | + | 5.11296i | −0.442506 | + | 1.36650i | ||||
\(15\) | 0.686948 | + | 1.18983i | 0.177369 | + | 0.307213i | ||||
\(16\) | 1.25112 | + | 3.79930i | 0.312781 | + | 0.949825i | ||||
\(17\) | −1.89546 | + | 3.28303i | −0.459716 | + | 0.796251i | −0.998946 | − | 0.0459074i | \(-0.985382\pi\) |
0.539230 | + | 0.842159i | \(0.318715\pi\) | |||||||
\(18\) | 0.254056 | + | 1.18945i | 0.0598816 | + | 0.280356i | ||||
\(19\) | 1.62181 | + | 4.04595i | 0.372069 | + | 0.928205i | ||||
\(20\) | −1.27654 | + | 0.571384i | −0.285443 | + | 0.127765i | ||||
\(21\) | −6.46604 | − | 3.73317i | −1.41100 | − | 0.814644i | ||||
\(22\) | 0.943721 | − | 2.91429i | 0.201202 | − | 0.621328i | ||||
\(23\) | −4.89133 | + | 2.82401i | −1.01991 | + | 0.588846i | −0.914078 | − | 0.405537i | \(-0.867084\pi\) |
−0.105834 | + | 0.994384i | \(0.533751\pi\) | |||||||
\(24\) | −5.52481 | + | 0.597278i | −1.12775 | + | 0.121919i | ||||
\(25\) | 2.25550 | + | 3.90663i | 0.451099 | + | 0.781327i | ||||
\(26\) | −1.86004 | + | 0.397289i | −0.364784 | + | 0.0779147i | ||||
\(27\) | 4.20438 | 0.809133 | ||||||||
\(28\) | 4.45527 | − | 6.15776i | 0.841967 | − | 1.16371i | ||||
\(29\) | 8.65155 | − | 4.99498i | 1.60655 | − | 0.927544i | 0.616419 | − | 0.787418i | \(-0.288583\pi\) |
0.990134 | − | 0.140125i | \(-0.0447506\pi\) | |||||||
\(30\) | −0.405850 | − | 1.90012i | −0.0740978 | − | 0.346913i | ||||
\(31\) | −7.76382 | −1.39442 | −0.697212 | − | 0.716865i | \(-0.745576\pi\) | ||||
−0.697212 | + | 0.716865i | \(0.745576\pi\) | |||||||
\(32\) | −0.0280040 | − | 5.65678i | −0.00495045 | − | 0.999988i | ||||
\(33\) | 3.68552 | + | 2.12783i | 0.641566 | + | 0.370408i | ||||
\(34\) | 3.98057 | − | 3.59126i | 0.682661 | − | 0.615896i | ||||
\(35\) | 2.30144 | + | 1.32874i | 0.389015 | + | 0.224598i | ||||
\(36\) | 0.176409 | − | 1.71101i | 0.0294015 | − | 0.285168i | ||||
\(37\) | 1.31241i | 0.215759i | 0.994164 | + | 0.107879i | \(0.0344060\pi\) | ||||
−0.994164 | + | 0.107879i | \(0.965594\pi\) | |||||||
\(38\) | −0.419276 | − | 6.15014i | −0.0680156 | − | 0.997684i | ||||
\(39\) | − | 2.64235i | − | 0.423114i | ||||||
\(40\) | 1.96644 | − | 0.212588i | 0.310921 | − | 0.0336131i | ||||
\(41\) | −7.58097 | − | 4.37688i | −1.18395 | − | 0.683553i | −0.227024 | − | 0.973889i | \(-0.572900\pi\) |
−0.956925 | + | 0.290336i | \(0.906233\pi\) | |||||||
\(42\) | 7.07311 | + | 7.83986i | 1.09140 | + | 1.20972i | ||||
\(43\) | −5.35195 | − | 3.08995i | −0.816165 | − | 0.471213i | 0.0329270 | − | 0.999458i | \(-0.489517\pi\) |
−0.849092 | + | 0.528245i | \(0.822850\pi\) | |||||||
\(44\) | −2.53942 | + | 3.50980i | −0.382832 | + | 0.529123i | ||||
\(45\) | 0.601418 | 0.0896540 | ||||||||
\(46\) | 7.81131 | − | 1.66843i | 1.15171 | − | 0.245997i | ||||
\(47\) | 2.06084 | − | 1.18983i | 0.300605 | − | 0.173554i | −0.342110 | − | 0.939660i | \(-0.611141\pi\) |
0.642715 | + | 0.766106i | \(0.277808\pi\) | |||||||
\(48\) | 7.69347 | + | 1.60348i | 1.11046 | + | 0.231442i | ||||
\(49\) | −7.44187 | −1.06312 | ||||||||
\(50\) | −1.33255 | − | 6.23878i | −0.188451 | − | 0.882297i | ||||
\(51\) | 3.72400 | + | 6.45016i | 0.521464 | + | 0.903203i | ||||
\(52\) | 2.67564 | + | 0.275866i | 0.371045 | + | 0.0382557i | ||||
\(53\) | −5.41710 | + | 3.12756i | −0.744096 | + | 0.429604i | −0.823557 | − | 0.567234i | \(-0.808013\pi\) |
0.0794608 | + | 0.996838i | \(0.474680\pi\) | |||||||
\(54\) | −5.65669 | − | 1.83178i | −0.769778 | − | 0.249274i | ||||
\(55\) | −1.31178 | − | 0.757356i | −0.176880 | − | 0.102122i | ||||
\(56\) | −8.67709 | + | 6.34374i | −1.15953 | + | 0.847718i | ||||
\(57\) | 8.47729 | + | 1.21506i | 1.12284 | + | 0.160938i | ||||
\(58\) | −13.8163 | + | 2.95104i | −1.81417 | + | 0.387491i | ||||
\(59\) | 3.28379 | − | 5.68770i | 0.427513 | − | 0.740475i | −0.569138 | − | 0.822242i | \(-0.692723\pi\) |
0.996651 | + | 0.0817670i | \(0.0260563\pi\) | |||||||
\(60\) | −0.281811 | + | 2.73330i | −0.0363816 | + | 0.352868i | ||||
\(61\) | −0.951063 | − | 1.64729i | −0.121771 | − | 0.210914i | 0.798695 | − | 0.601736i | \(-0.205524\pi\) |
−0.920466 | + | 0.390822i | \(0.872191\pi\) | |||||||
\(62\) | 10.4457 | + | 3.38257i | 1.32660 | + | 0.429587i | ||||
\(63\) | −2.83048 | + | 1.63418i | −0.356607 | + | 0.205887i | ||||
\(64\) | −2.42689 | + | 7.62300i | −0.303362 | + | 0.952875i | ||||
\(65\) | 0.940486i | 0.116653i | ||||||||
\(66\) | −4.03154 | − | 4.46857i | −0.496248 | − | 0.550043i | ||||
\(67\) | 2.69299 | + | 4.66440i | 0.329001 | + | 0.569847i | 0.982314 | − | 0.187241i | \(-0.0599546\pi\) |
−0.653313 | + | 0.757088i | \(0.726621\pi\) | |||||||
\(68\) | −6.92022 | + | 3.09752i | −0.839201 | + | 0.375629i | ||||
\(69\) | 11.0966i | 1.33588i | ||||||||
\(70\) | −2.51752 | − | 2.79043i | −0.300901 | − | 0.333520i | ||||
\(71\) | 2.60416 | − | 4.51054i | 0.309057 | − | 0.535303i | −0.669099 | − | 0.743173i | \(-0.733320\pi\) |
0.978156 | + | 0.207870i | \(0.0666533\pi\) | |||||||
\(72\) | −0.982805 | + | 2.22518i | −0.115825 | + | 0.262240i | ||||
\(73\) | 4.86089 | − | 8.41932i | 0.568925 | − | 0.985406i | −0.427748 | − | 0.903898i | \(-0.640693\pi\) |
0.996673 | − | 0.0815084i | \(-0.0259738\pi\) | |||||||
\(74\) | 0.571795 | − | 1.76575i | 0.0664698 | − | 0.205264i | ||||
\(75\) | 8.86274 | 1.02338 | ||||||||
\(76\) | −2.11541 | + | 8.45725i | −0.242654 | + | 0.970113i | ||||
\(77\) | 8.23158 | 0.938076 | ||||||||
\(78\) | −1.15123 | + | 3.55509i | −0.130351 | + | 0.402535i | ||||
\(79\) | −3.38726 | + | 5.86690i | −0.381096 | + | 0.660078i | −0.991219 | − | 0.132229i | \(-0.957787\pi\) |
0.610123 | + | 0.792307i | \(0.291120\pi\) | |||||||
\(80\) | −2.73832 | − | 0.570723i | −0.306154 | − | 0.0638088i | ||||
\(81\) | 5.42022 | − | 9.38810i | 0.602247 | − | 1.04312i | ||||
\(82\) | 8.29272 | + | 9.19169i | 0.915778 | + | 1.01505i | ||||
\(83\) | 1.55519i | 0.170704i | 0.996351 | + | 0.0853519i | \(0.0272015\pi\) | ||||
−0.996351 | + | 0.0853519i | \(0.972799\pi\) | |||||||
\(84\) | −6.10067 | − | 13.6296i | −0.665637 | − | 1.48711i | ||||
\(85\) | −1.32548 | − | 2.29579i | −0.143768 | − | 0.249014i | ||||
\(86\) | 5.85443 | + | 6.48907i | 0.631300 | + | 0.699735i | ||||
\(87\) | − | 19.6272i | − | 2.10426i | ||||||
\(88\) | 4.94577 | − | 3.61581i | 0.527221 | − | 0.385446i | ||||
\(89\) | −1.43400 | + | 0.827921i | −0.152004 | + | 0.0877594i | −0.574073 | − | 0.818804i | \(-0.694637\pi\) |
0.422069 | + | 0.906564i | \(0.361304\pi\) | |||||||
\(90\) | −0.809165 | − | 0.262028i | −0.0852934 | − | 0.0276202i | ||||
\(91\) | −2.55550 | − | 4.42626i | −0.267889 | − | 0.463998i | ||||
\(92\) | −11.2365 | − | 1.15851i | −1.17148 | − | 0.120783i | ||||
\(93\) | −7.62678 | + | 13.2100i | −0.790861 | + | 1.36981i | ||||
\(94\) | −3.29111 | + | 0.702953i | −0.339452 | + | 0.0725041i | ||||
\(95\) | −3.01730 | − | 0.432473i | −0.309569 | − | 0.0443708i | ||||
\(96\) | −9.65241 | − | 5.50929i | −0.985145 | − | 0.562289i | ||||
\(97\) | −9.10261 | − | 5.25540i | −0.924231 | − | 0.533605i | −0.0392483 | − | 0.999229i | \(-0.512496\pi\) |
−0.884982 | + | 0.465625i | \(0.845830\pi\) | |||||||
\(98\) | 10.0125 | + | 3.24230i | 1.01142 | + | 0.327522i | ||||
\(99\) | 1.61332 | − | 0.931451i | 0.162145 | − | 0.0936143i | ||||
\(100\) | −0.925285 | + | 8.97441i | −0.0925285 | + | 0.897441i | ||||
\(101\) | 3.44127 | + | 5.96045i | 0.342419 | + | 0.593087i | 0.984881 | − | 0.173230i | \(-0.0554204\pi\) |
−0.642462 | + | 0.766317i | \(0.722087\pi\) | |||||||
\(102\) | −2.20015 | − | 10.3007i | −0.217847 | − | 1.01992i | ||||
\(103\) | −9.04040 | −0.890777 | −0.445388 | − | 0.895337i | \(-0.646934\pi\) | ||||
−0.445388 | + | 0.895337i | \(0.646934\pi\) | |||||||
\(104\) | −3.47970 | − | 1.53689i | −0.341212 | − | 0.150705i | ||||
\(105\) | 4.52164 | − | 2.61057i | 0.441267 | − | 0.254766i | ||||
\(106\) | 8.65095 | − | 1.84777i | 0.840255 | − | 0.179471i | ||||
\(107\) | 10.8012 | 1.04419 | 0.522097 | − | 0.852886i | \(-0.325150\pi\) | ||||
0.522097 | + | 0.852886i | \(0.325150\pi\) | |||||||
\(108\) | 6.81260 | + | 4.92906i | 0.655543 | + | 0.474299i | ||||
\(109\) | −3.93314 | − | 2.27080i | −0.376727 | − | 0.217503i | 0.299666 | − | 0.954044i | \(-0.403125\pi\) |
−0.676393 | + | 0.736541i | \(0.736458\pi\) | |||||||
\(110\) | 1.43494 | + | 1.59049i | 0.136816 | + | 0.151647i | ||||
\(111\) | 2.23303 | + | 1.28924i | 0.211950 | + | 0.122369i | ||||
\(112\) | 14.4383 | − | 4.75458i | 1.36429 | − | 0.449266i | ||||
\(113\) | 3.21398i | 0.302346i | 0.988507 | + | 0.151173i | \(0.0483050\pi\) | ||||
−0.988507 | + | 0.151173i | \(0.951695\pi\) | |||||||
\(114\) | −10.8762 | − | 5.32819i | −1.01865 | − | 0.499031i | ||||
\(115\) | − | 3.94961i | − | 0.368303i | ||||||
\(116\) | 19.8745 | + | 2.04912i | 1.84531 | + | 0.190256i | ||||
\(117\) | −1.00171 | − | 0.578339i | −0.0926083 | − | 0.0534674i | ||||
\(118\) | −6.89615 | + | 6.22170i | −0.634842 | + | 0.572753i | ||||
\(119\) | 12.4763 | + | 7.20320i | 1.14370 | + | 0.660317i | ||||
\(120\) | 1.57001 | − | 3.55468i | 0.143322 | − | 0.324497i | ||||
\(121\) | 6.30816 | 0.573469 | ||||||||
\(122\) | 0.561890 | + | 2.63067i | 0.0508711 | + | 0.238170i | ||||
\(123\) | −14.8943 | + | 8.59924i | −1.34298 | + | 0.775367i | ||||
\(124\) | −12.5802 | − | 9.10203i | −1.12973 | − | 0.817386i | ||||
\(125\) | −6.65095 | −0.594879 | ||||||||
\(126\) | 4.52020 | − | 0.965476i | 0.402691 | − | 0.0860115i | ||||
\(127\) | 1.91604 | + | 3.31867i | 0.170021 | + | 0.294485i | 0.938427 | − | 0.345478i | \(-0.112283\pi\) |
−0.768406 | + | 0.639963i | \(0.778950\pi\) | |||||||
\(128\) | 6.58644 | − | 9.19885i | 0.582164 | − | 0.813071i | ||||
\(129\) | −10.5150 | + | 6.07082i | −0.925792 | + | 0.534506i | ||||
\(130\) | 0.409755 | − | 1.26536i | 0.0359379 | − | 0.110979i | ||||
\(131\) | −9.15931 | − | 5.28813i | −0.800253 | − | 0.462026i | 0.0433066 | − | 0.999062i | \(-0.486211\pi\) |
−0.843560 | + | 0.537036i | \(0.819544\pi\) | |||||||
\(132\) | 3.47726 | + | 7.76862i | 0.302657 | + | 0.676172i | ||||
\(133\) | 15.3756 | − | 6.16328i | 1.33323 | − | 0.534425i | ||||
\(134\) | −1.59102 | − | 7.44891i | −0.137444 | − | 0.643488i | ||||
\(135\) | −1.47004 | + | 2.54619i | −0.126521 | + | 0.219141i | ||||
\(136\) | 10.6602 | − | 1.15246i | 0.914106 | − | 0.0988224i | ||||
\(137\) | −5.52875 | − | 9.57607i | −0.472353 | − | 0.818139i | 0.527147 | − | 0.849774i | \(-0.323262\pi\) |
−0.999499 | + | 0.0316351i | \(0.989929\pi\) | |||||||
\(138\) | 4.83463 | − | 14.9298i | 0.411551 | − | 1.27090i | ||||
\(139\) | 3.10613 | − | 1.79333i | 0.263459 | − | 0.152108i | −0.362453 | − | 0.932002i | \(-0.618061\pi\) |
0.625911 | + | 0.779894i | \(0.284727\pi\) | |||||||
\(140\) | 2.17140 | + | 4.85116i | 0.183517 | + | 0.409998i | ||||
\(141\) | − | 4.67531i | − | 0.393732i | ||||||
\(142\) | −5.46888 | + | 4.93402i | −0.458939 | + | 0.414054i | ||||
\(143\) | 1.45659 | + | 2.52288i | 0.121806 | + | 0.210974i | ||||
\(144\) | 2.29177 | − | 2.56563i | 0.190981 | − | 0.213802i | ||||
\(145\) | 6.98589i | 0.580146i | ||||||||
\(146\) | −10.2082 | + | 9.20978i | −0.844833 | + | 0.762207i | ||||
\(147\) | −7.31051 | + | 12.6622i | −0.602961 | + | 1.04436i | ||||
\(148\) | −1.53862 | + | 2.12657i | −0.126474 | + | 0.174803i | ||||
\(149\) | 6.79151 | − | 11.7632i | 0.556382 | − | 0.963683i | −0.441412 | − | 0.897304i | \(-0.645522\pi\) |
0.997795 | − | 0.0663781i | \(-0.0211444\pi\) | |||||||
\(150\) | −11.9242 | − | 3.86135i | −0.973606 | − | 0.315278i | ||||
\(151\) | −17.1888 | −1.39880 | −0.699402 | − | 0.714728i | \(-0.746550\pi\) | ||||
−0.699402 | + | 0.714728i | \(0.746550\pi\) | |||||||
\(152\) | 6.53082 | − | 10.4570i | 0.529720 | − | 0.848173i | ||||
\(153\) | 3.26033 | 0.263582 | ||||||||
\(154\) | −11.0750 | − | 3.58637i | −0.892450 | − | 0.288998i | ||||
\(155\) | 2.71459 | − | 4.70180i | 0.218041 | − | 0.377658i | ||||
\(156\) | 3.09779 | − | 4.28155i | 0.248022 | − | 0.342799i | ||||
\(157\) | 0.626185 | − | 1.08458i | 0.0499750 | − | 0.0865593i | −0.839956 | − | 0.542655i | \(-0.817419\pi\) |
0.889931 | + | 0.456096i | \(0.150752\pi\) | |||||||
\(158\) | 7.11343 | − | 6.41772i | 0.565914 | − | 0.510567i | ||||
\(159\) | 12.2894i | 0.974616i | ||||||||
\(160\) | 3.43556 | + | 1.96091i | 0.271605 | + | 0.155024i | ||||
\(161\) | 10.7319 | + | 18.5882i | 0.845794 | + | 1.46496i | ||||
\(162\) | −11.3828 | + | 10.2695i | −0.894315 | + | 0.806850i | ||||
\(163\) | 24.6001i | 1.92683i | 0.268010 | + | 0.963416i | \(0.413634\pi\) | ||||
−0.268010 | + | 0.963416i | \(0.586366\pi\) | |||||||
\(164\) | −7.15260 | − | 15.9798i | −0.558524 | − | 1.24781i | ||||
\(165\) | −2.57725 | + | 1.48798i | −0.200639 | + | 0.115839i | ||||
\(166\) | 0.677570 | − | 2.09239i | 0.0525896 | − | 0.162401i | ||||
\(167\) | −0.817122 | − | 1.41530i | −0.0632308 | − | 0.109519i | 0.832677 | − | 0.553759i | \(-0.186807\pi\) |
−0.895908 | + | 0.444240i | \(0.853474\pi\) | |||||||
\(168\) | 2.26980 | + | 20.9957i | 0.175119 | + | 1.61985i | ||||
\(169\) | −5.59560 | + | 9.69187i | −0.430431 | + | 0.745529i | ||||
\(170\) | 0.783094 | + | 3.66632i | 0.0600606 | + | 0.281194i | ||||
\(171\) | 2.31608 | − | 2.94779i | 0.177115 | − | 0.225423i | ||||
\(172\) | −5.04954 | − | 11.2813i | −0.385023 | − | 0.860189i | ||||
\(173\) | −4.04607 | − | 2.33600i | −0.307617 | − | 0.177603i | 0.338243 | − | 0.941059i | \(-0.390168\pi\) |
−0.645860 | + | 0.763456i | \(0.723501\pi\) | |||||||
\(174\) | −8.55128 | + | 26.4071i | −0.648271 | + | 2.00191i | ||||
\(175\) | 14.8462 | − | 8.57144i | 1.12226 | − | 0.647940i | ||||
\(176\) | −8.22954 | + | 2.71002i | −0.620325 | + | 0.204275i | ||||
\(177\) | −6.45166 | − | 11.1746i | −0.484937 | − | 0.839935i | ||||
\(178\) | 2.29006 | − | 0.489137i | 0.171647 | − | 0.0366624i | ||||
\(179\) | 8.18925 | 0.612093 | 0.306046 | − | 0.952017i | \(-0.400994\pi\) | ||||
0.306046 | + | 0.952017i | \(0.400994\pi\) | |||||||
\(180\) | 0.974512 | + | 0.705080i | 0.0726358 | + | 0.0525536i | ||||
\(181\) | −16.5611 | + | 9.56157i | −1.23098 | + | 0.710706i | −0.967234 | − | 0.253887i | \(-0.918291\pi\) |
−0.263745 | + | 0.964592i | \(0.584958\pi\) | |||||||
\(182\) | 1.50979 | + | 7.06860i | 0.111913 | + | 0.523960i | ||||
\(183\) | −3.73710 | −0.276255 | ||||||||
\(184\) | 14.6131 | + | 6.45424i | 1.07729 | + | 0.475813i | ||||
\(185\) | −0.794799 | − | 0.458878i | −0.0584348 | − | 0.0337374i | ||||
\(186\) | 16.0167 | − | 14.4502i | 1.17440 | − | 1.05954i | ||||
\(187\) | −7.11126 | − | 4.10569i | −0.520027 | − | 0.300237i | ||||
\(188\) | 4.73422 | + | 0.488110i | 0.345278 | + | 0.0355991i | ||||
\(189\) | − | 15.9777i | − | 1.16220i | ||||||
\(190\) | 3.87115 | + | 1.89645i | 0.280842 | + | 0.137583i | ||||
\(191\) | 22.9897i | 1.66348i | 0.555167 | + | 0.831739i | \(0.312654\pi\) | ||||
−0.555167 | + | 0.831739i | \(0.687346\pi\) | |||||||
\(192\) | 10.5863 | + | 11.6178i | 0.764002 | + | 0.838440i | ||||
\(193\) | −5.10454 | − | 2.94711i | −0.367433 | − | 0.212138i | 0.304903 | − | 0.952383i | \(-0.401376\pi\) |
−0.672336 | + | 0.740246i | \(0.734709\pi\) | |||||||
\(194\) | 9.95723 | + | 11.0366i | 0.714887 | + | 0.792384i | ||||
\(195\) | 1.60022 | + | 0.923885i | 0.114594 | + | 0.0661608i | ||||
\(196\) | −12.0585 | − | 8.72458i | −0.861321 | − | 0.623184i | ||||
\(197\) | 2.51151 | 0.178937 | 0.0894687 | − | 0.995990i | \(-0.471483\pi\) | ||||
0.0894687 | + | 0.995990i | \(0.471483\pi\) | |||||||
\(198\) | −2.57643 | + | 0.550303i | −0.183099 | + | 0.0391083i | ||||
\(199\) | 22.4312 | − | 12.9506i | 1.59010 | − | 0.918046i | 0.596814 | − | 0.802379i | \(-0.296433\pi\) |
0.993288 | − | 0.115667i | \(-0.0369004\pi\) | |||||||
\(200\) | 5.15491 | − | 11.6713i | 0.364507 | − | 0.825286i | ||||
\(201\) | 10.5818 | 0.746385 | ||||||||
\(202\) | −2.03311 | − | 9.51867i | −0.143049 | − | 0.669731i | ||||
\(203\) | −18.9821 | − | 32.8780i | −1.33228 | − | 2.30758i | ||||
\(204\) | −1.52772 | + | 14.8175i | −0.106962 | + | 1.03743i | ||||
\(205\) | 5.30131 | − | 3.06071i | 0.370259 | − | 0.213769i | ||||
\(206\) | 12.1632 | + | 3.93876i | 0.847451 | + | 0.274426i | ||||
\(207\) | 4.20673 | + | 2.42876i | 0.292388 | + | 0.168810i | ||||
\(208\) | 4.01209 | + | 3.58383i | 0.278188 | + | 0.248494i | ||||
\(209\) | −8.76380 | + | 3.51295i | −0.606205 | + | 0.242996i | ||||
\(210\) | −7.22093 | + | 1.54233i | −0.498292 | + | 0.106431i | ||||
\(211\) | 4.82292 | − | 8.35354i | 0.332023 | − | 0.575081i | −0.650885 | − | 0.759176i | \(-0.725602\pi\) |
0.982908 | + | 0.184095i | \(0.0589354\pi\) | |||||||
\(212\) | −12.4443 | − | 1.28304i | −0.854677 | − | 0.0881194i | ||||
\(213\) | −5.11639 | − | 8.86185i | −0.350569 | − | 0.607204i | ||||
\(214\) | −14.5323 | − | 4.70592i | −0.993407 | − | 0.321690i | ||||
\(215\) | 3.74257 | − | 2.16078i | 0.255241 | − | 0.147364i | ||||
\(216\) | −7.01836 | − | 9.59984i | −0.477539 | − | 0.653187i | ||||
\(217\) | 29.5044i | 2.00289i | ||||||||
\(218\) | 4.30241 | + | 4.76881i | 0.291396 | + | 0.322985i | ||||
\(219\) | −9.55019 | − | 16.5414i | −0.645342 | − | 1.11777i | ||||
\(220\) | −1.23765 | − | 2.76507i | −0.0834427 | − | 0.186421i | ||||
\(221\) | 5.09845i | 0.342959i | ||||||||
\(222\) | −2.44269 | − | 2.70748i | −0.163942 | − | 0.181714i | ||||
\(223\) | 6.58104 | − | 11.3987i | 0.440699 | − | 0.763313i | −0.557042 | − | 0.830484i | \(-0.688064\pi\) |
0.997741 | + | 0.0671707i | \(0.0213972\pi\) | |||||||
\(224\) | −21.4972 | + | 0.106422i | −1.43634 | + | 0.00711062i | ||||
\(225\) | 1.93981 | − | 3.35986i | 0.129321 | − | 0.223990i | ||||
\(226\) | 1.40028 | − | 4.32418i | 0.0931453 | − | 0.287640i | ||||
\(227\) | −11.2971 | −0.749812 | −0.374906 | − | 0.927063i | \(-0.622325\pi\) | ||||
−0.374906 | + | 0.927063i | \(0.622325\pi\) | |||||||
\(228\) | 12.3118 | + | 11.9073i | 0.815366 | + | 0.788580i | ||||
\(229\) | 19.7651 | 1.30611 | 0.653056 | − | 0.757309i | \(-0.273486\pi\) | ||||
0.653056 | + | 0.757309i | \(0.273486\pi\) | |||||||
\(230\) | −1.72078 | + | 5.31392i | −0.113465 | + | 0.350389i | ||||
\(231\) | 8.08629 | − | 14.0059i | 0.532039 | − | 0.921518i | ||||
\(232\) | −25.8470 | − | 11.4160i | −1.69694 | − | 0.749495i | ||||
\(233\) | 1.67765 | − | 2.90577i | 0.109906 | − | 0.190364i | −0.805826 | − | 0.592153i | \(-0.798278\pi\) |
0.915732 | + | 0.401789i | \(0.131612\pi\) | |||||||
\(234\) | 1.09576 | + | 1.21454i | 0.0716320 | + | 0.0793972i | ||||
\(235\) | 1.66407i | 0.108552i | ||||||||
\(236\) | 11.9890 | − | 5.36631i | 0.780416 | − | 0.349317i | ||||
\(237\) | 6.65493 | + | 11.5267i | 0.432284 | + | 0.748739i | ||||
\(238\) | −13.6477 | − | 15.1271i | −0.884647 | − | 0.980546i | ||||
\(239\) | 3.63575i | 0.235177i | 0.993062 | + | 0.117589i | \(0.0375164\pi\) | ||||
−0.993062 | + | 0.117589i | \(0.962484\pi\) | |||||||
\(240\) | −3.66106 | + | 4.09855i | −0.236320 | + | 0.264560i | ||||
\(241\) | 20.5264 | − | 11.8509i | 1.32222 | − | 0.763384i | 0.338138 | − | 0.941097i | \(-0.390203\pi\) |
0.984083 | + | 0.177712i | \(0.0568696\pi\) | |||||||
\(242\) | −8.48718 | − | 2.74836i | −0.545576 | − | 0.176672i | ||||
\(243\) | −4.34254 | − | 7.52150i | −0.278574 | − | 0.482504i | ||||
\(244\) | 0.390160 | − | 3.78419i | 0.0249774 | − | 0.242258i | ||||
\(245\) | 2.60202 | − | 4.50682i | 0.166237 | − | 0.287930i | ||||
\(246\) | 23.7858 | − | 5.08045i | 1.51653 | − | 0.323918i | ||||
\(247\) | 4.60970 | + | 3.62184i | 0.293308 | + | 0.230452i | ||||
\(248\) | 12.9601 | + | 17.7271i | 0.822969 | + | 1.12567i | ||||
\(249\) | 2.64612 | + | 1.52774i | 0.167691 | + | 0.0968163i | ||||
\(250\) | 8.94839 | + | 2.89771i | 0.565946 | + | 0.183268i | ||||
\(251\) | 9.84744 | − | 5.68542i | 0.621565 | − | 0.358861i | −0.155913 | − | 0.987771i | \(-0.549832\pi\) |
0.777478 | + | 0.628910i | \(0.216499\pi\) | |||||||
\(252\) | −6.50225 | − | 0.670399i | −0.409603 | − | 0.0422311i | ||||
\(253\) | −6.11699 | − | 10.5949i | −0.384572 | − | 0.666098i | ||||
\(254\) | −1.13200 | − | 5.29983i | −0.0710279 | − | 0.332541i | ||||
\(255\) | −5.20832 | −0.326158 | ||||||||
\(256\) | −12.8694 | + | 9.50680i | −0.804336 | + | 0.594175i | ||||
\(257\) | 4.63727 | − | 2.67733i | 0.289265 | − | 0.167007i | −0.348345 | − | 0.937366i | \(-0.613256\pi\) |
0.637610 | + | 0.770359i | \(0.279923\pi\) | |||||||
\(258\) | 16.7921 | − | 3.58665i | 1.04543 | − | 0.223295i | ||||
\(259\) | 4.98747 | 0.309906 | ||||||||
\(260\) | −1.10259 | + | 1.52392i | −0.0683799 | + | 0.0945098i | ||||
\(261\) | −7.44067 | − | 4.29587i | −0.460566 | − | 0.265908i | ||||
\(262\) | 10.0193 | + | 11.1054i | 0.618991 | + | 0.686092i | ||||
\(263\) | 3.60012 | + | 2.07853i | 0.221993 | + | 0.128168i | 0.606873 | − | 0.794799i | \(-0.292424\pi\) |
−0.384880 | + | 0.922967i | \(0.625757\pi\) | |||||||
\(264\) | −1.29374 | − | 11.9671i | −0.0796244 | − | 0.736525i | ||||
\(265\) | − | 4.37416i | − | 0.268702i | ||||||
\(266\) | −23.3720 | + | 1.59335i | −1.43303 | + | 0.0976947i | ||||
\(267\) | 3.25323i | 0.199094i | ||||||||
\(268\) | −1.10476 | + | 10.7152i | −0.0674840 | + | 0.654533i | ||||
\(269\) | 7.70327 | + | 4.44749i | 0.469677 | + | 0.271168i | 0.716104 | − | 0.697993i | \(-0.245923\pi\) |
−0.246428 | + | 0.969161i | \(0.579257\pi\) | |||||||
\(270\) | 3.08717 | − | 2.78524i | 0.187879 | − | 0.169504i | ||||
\(271\) | 6.29378 | + | 3.63372i | 0.382320 | + | 0.220733i | 0.678827 | − | 0.734298i | \(-0.262489\pi\) |
−0.296507 | + | 0.955031i | \(0.595822\pi\) | |||||||
\(272\) | −14.8447 | − | 3.09394i | −0.900090 | − | 0.187597i | ||||
\(273\) | −10.0416 | −0.607744 | ||||||||
\(274\) | 3.26640 | + | 15.2927i | 0.197330 | + | 0.923867i | ||||
\(275\) | −8.46203 | + | 4.88555i | −0.510279 | + | 0.294610i | ||||
\(276\) | −13.0093 | + | 17.9805i | −0.783069 | + | 1.08230i | ||||
\(277\) | −8.19001 | −0.492090 | −0.246045 | − | 0.969258i | \(-0.579131\pi\) | ||||
−0.246045 | + | 0.969258i | \(0.579131\pi\) | |||||||
\(278\) | −4.96041 | + | 1.05950i | −0.297505 | + | 0.0635447i | ||||
\(279\) | 3.33859 | + | 5.78261i | 0.199876 | + | 0.346196i | ||||
\(280\) | −0.807887 | − | 7.47294i | −0.0482805 | − | 0.446594i | ||||
\(281\) | −10.8126 | + | 6.24263i | −0.645023 | + | 0.372404i | −0.786547 | − | 0.617531i | \(-0.788133\pi\) |
0.141524 | + | 0.989935i | \(0.454800\pi\) | |||||||
\(282\) | −2.03696 | + | 6.29030i | −0.121299 | + | 0.374582i | ||||
\(283\) | 13.8841 | + | 8.01598i | 0.825323 | + | 0.476501i | 0.852249 | − | 0.523137i | \(-0.175238\pi\) |
−0.0269255 | + | 0.999637i | \(0.508572\pi\) | |||||||
\(284\) | 9.50767 | − | 4.25567i | 0.564176 | − | 0.252527i | ||||
\(285\) | −3.69989 | + | 4.70904i | −0.219163 | + | 0.278939i | ||||
\(286\) | −0.860554 | − | 4.02897i | −0.0508856 | − | 0.238238i | ||||
\(287\) | −16.6332 | + | 28.8096i | −0.981827 | + | 1.70057i | ||||
\(288\) | −4.20122 | + | 2.45339i | −0.247559 | + | 0.144567i | ||||
\(289\) | 1.31448 | + | 2.27675i | 0.0773226 | + | 0.133927i | ||||
\(290\) | 3.04364 | − | 9.39901i | 0.178729 | − | 0.551929i | ||||
\(291\) | −17.8839 | + | 10.3253i | −1.04837 | + | 0.605278i | ||||
\(292\) | 17.7469 | − | 7.94357i | 1.03856 | − | 0.464863i | ||||
\(293\) | − | 7.78620i | − | 0.454875i | −0.973793 | − | 0.227437i | \(-0.926965\pi\) | ||
0.973793 | − | 0.227437i | \(-0.0730347\pi\) | |||||||
\(294\) | 15.3525 | − | 13.8510i | 0.895375 | − | 0.807806i | ||||
\(295\) | 2.29633 | + | 3.97736i | 0.133697 | + | 0.231571i | ||||
\(296\) | 2.99662 | − | 2.19080i | 0.174175 | − | 0.127338i | ||||
\(297\) | 9.10696i | 0.528439i | ||||||||
\(298\) | −14.2626 | + | 12.8677i | −0.826208 | + | 0.745403i | ||||
\(299\) | −3.79805 | + | 6.57841i | −0.219647 | + | 0.380439i | ||||
\(300\) | 14.3608 | + | 10.3904i | 0.829122 | + | 0.599887i | ||||
\(301\) | −11.7426 | + | 20.3387i | −0.676831 | + | 1.17231i | ||||
\(302\) | 23.1263 | + | 7.48889i | 1.33077 | + | 0.430937i | ||||
\(303\) | 13.5221 | 0.776825 | ||||||||
\(304\) | −13.3427 | + | 11.2237i | −0.765256 | + | 0.643726i | ||||
\(305\) | 1.33014 | 0.0761636 | ||||||||
\(306\) | −4.38655 | − | 1.42048i | −0.250762 | − | 0.0812032i | ||||
\(307\) | −1.14144 | + | 1.97702i | −0.0651452 | + | 0.112835i | −0.896758 | − | 0.442521i | \(-0.854084\pi\) |
0.831613 | + | 0.555355i | \(0.187418\pi\) | |||||||
\(308\) | 13.3381 | + | 9.65041i | 0.760010 | + | 0.549883i | ||||
\(309\) | −8.88083 | + | 15.3820i | −0.505212 | + | 0.875054i | ||||
\(310\) | −5.70078 | + | 5.14324i | −0.323783 | + | 0.292116i | ||||
\(311\) | − | 10.6062i | − | 0.601420i | −0.953716 | − | 0.300710i | \(-0.902776\pi\) | ||
0.953716 | − | 0.300710i | \(-0.0972236\pi\) | |||||||
\(312\) | −6.03327 | + | 4.41086i | −0.341566 | + | 0.249716i | ||||
\(313\) | −16.9600 | − | 29.3755i | −0.958634 | − | 1.66040i | −0.725824 | − | 0.687880i | \(-0.758541\pi\) |
−0.232810 | − | 0.972522i | \(-0.574792\pi\) | |||||||
\(314\) | −1.31502 | + | 1.18641i | −0.0742111 | + | 0.0669531i | ||||
\(315\) | − | 2.28553i | − | 0.128775i | ||||||
\(316\) | −12.3667 | + | 5.53538i | −0.695682 | + | 0.311390i | ||||
\(317\) | −19.2080 | + | 11.0898i | −1.07883 | + | 0.622863i | −0.930580 | − | 0.366088i | \(-0.880697\pi\) |
−0.148249 | + | 0.988950i | \(0.547364\pi\) | |||||||
\(318\) | 5.35431 | − | 16.5346i | 0.300255 | − | 0.927212i | ||||
\(319\) | 10.8194 | + | 18.7398i | 0.605773 | + | 1.04923i | ||||
\(320\) | −3.76797 | − | 4.13509i | −0.210636 | − | 0.231158i | ||||
\(321\) | 10.6106 | − | 18.3781i | 0.592225 | − | 1.02576i | ||||
\(322\) | −6.34044 | − | 29.6849i | −0.353339 | − | 1.65427i | ||||
\(323\) | −16.3570 | − | 2.34447i | −0.910131 | − | 0.130450i | ||||
\(324\) | 19.7890 | − | 8.85762i | 1.09939 | − | 0.492090i | ||||
\(325\) | 5.25408 | + | 3.03345i | 0.291444 | + | 0.168265i | ||||
\(326\) | 10.7179 | − | 33.0978i | 0.593609 | − | 1.83311i | ||||
\(327\) | −7.72744 | + | 4.46144i | −0.427329 | + | 0.246718i | ||||
\(328\) | 2.66118 | + | 24.6159i | 0.146939 | + | 1.35919i | ||||
\(329\) | −4.52164 | − | 7.83171i | −0.249286 | − | 0.431776i | ||||
\(330\) | 4.11579 | − | 0.879099i | 0.226567 | − | 0.0483928i | ||||
\(331\) | −20.3375 | −1.11785 | −0.558924 | − | 0.829219i | \(-0.688786\pi\) | ||||
−0.558924 | + | 0.829219i | \(0.688786\pi\) | |||||||
\(332\) | −1.82324 | + | 2.51996i | −0.100064 | + | 0.138301i | ||||
\(333\) | 0.977502 | − | 0.564361i | 0.0535668 | − | 0.0309268i | ||||
\(334\) | 0.482758 | + | 2.26019i | 0.0264153 | + | 0.123672i | ||||
\(335\) | −3.76637 | −0.205779 | ||||||||
\(336\) | 6.09361 | − | 29.2371i | 0.332434 | − | 1.59501i | ||||
\(337\) | 3.96146 | + | 2.28715i | 0.215794 | + | 0.124589i | 0.604001 | − | 0.796983i | \(-0.293572\pi\) |
−0.388207 | + | 0.921572i | \(0.626905\pi\) | |||||||
\(338\) | 11.7511 | − | 10.6018i | 0.639175 | − | 0.576662i | ||||
\(339\) | 5.46852 | + | 3.15725i | 0.297009 | + | 0.171478i | ||||
\(340\) | 0.543758 | − | 5.27395i | 0.0294894 | − | 0.286020i | ||||
\(341\) | − | 16.8170i | − | 0.910689i | ||||||
\(342\) | −4.40042 | + | 2.95696i | −0.237948 | + | 0.159894i | ||||
\(343\) | 1.67920i | 0.0906685i | ||||||||
\(344\) | 1.87872 | + | 17.3781i | 0.101294 | + | 0.936967i | ||||
\(345\) | −6.72017 | − | 3.87989i | −0.361802 | − | 0.208886i | ||||
\(346\) | 4.42594 | + | 4.90573i | 0.237940 | + | 0.263734i | ||||
\(347\) | −23.3858 | − | 13.5018i | −1.25541 | − | 0.724813i | −0.283234 | − | 0.959051i | \(-0.591407\pi\) |
−0.972179 | + | 0.234237i | \(0.924741\pi\) | |||||||
\(348\) | 23.0103 | − | 31.8032i | 1.23348 | − | 1.70483i | ||||
\(349\) | 12.0416 | 0.644571 | 0.322285 | − | 0.946643i | \(-0.395549\pi\) | ||||
0.322285 | + | 0.946643i | \(0.395549\pi\) | |||||||
\(350\) | −23.7089 | + | 5.06402i | −1.26729 | + | 0.270683i | ||||
\(351\) | 4.89696 | − | 2.82726i | 0.261380 | − | 0.150908i | ||||
\(352\) | 12.2530 | − | 0.0606585i | 0.653086 | − | 0.00323311i | ||||
\(353\) | 25.6533 | 1.36539 | 0.682695 | − | 0.730703i | \(-0.260808\pi\) | ||||
0.682695 | + | 0.730703i | \(0.260808\pi\) | |||||||
\(354\) | 3.81165 | + | 17.8455i | 0.202587 | + | 0.948479i | ||||
\(355\) | 1.82107 | + | 3.15418i | 0.0966522 | + | 0.167407i | ||||
\(356\) | −3.29422 | − | 0.339643i | −0.174593 | − | 0.0180010i | ||||
\(357\) | 24.5122 | − | 14.1521i | 1.29732 | − | 0.749010i | ||||
\(358\) | −11.0180 | − | 3.56792i | −0.582322 | − | 0.188571i | ||||
\(359\) | −7.79191 | − | 4.49866i | −0.411241 | − | 0.237430i | 0.280082 | − | 0.959976i | \(-0.409638\pi\) |
−0.691323 | + | 0.722546i | \(0.742972\pi\) | |||||||
\(360\) | −1.00394 | − | 1.37322i | −0.0529125 | − | 0.0723748i | ||||
\(361\) | −13.7395 | + | 13.1235i | −0.723129 | + | 0.690713i | ||||
\(362\) | 26.4476 | − | 5.64899i | 1.39006 | − | 0.296905i | ||||
\(363\) | 6.19681 | − | 10.7332i | 0.325248 | − | 0.563347i | ||||
\(364\) | 1.04836 | − | 10.1681i | 0.0549489 | − | 0.532953i | ||||
\(365\) | 3.39918 | + | 5.88755i | 0.177921 | + | 0.308169i | ||||
\(366\) | 5.02801 | + | 1.62820i | 0.262818 | + | 0.0851072i | ||||
\(367\) | 12.6429 | − | 7.29936i | 0.659952 | − | 0.381024i | −0.132306 | − | 0.991209i | \(-0.542238\pi\) |
0.792259 | + | 0.610185i | \(0.208905\pi\) | |||||||
\(368\) | −16.8489 | − | 15.0504i | −0.878310 | − | 0.784558i | ||||
\(369\) | 7.52857i | 0.391922i | ||||||||
\(370\) | 0.869420 | + | 0.963669i | 0.0451990 | + | 0.0500988i | ||||
\(371\) | 11.8855 | + | 20.5863i | 0.617065 | + | 1.06879i | ||||
\(372\) | −27.8450 | + | 12.4635i | −1.44370 | + | 0.646204i | ||||
\(373\) | 6.50837i | 0.336991i | 0.985702 | + | 0.168495i | \(0.0538908\pi\) | ||||
−0.985702 | + | 0.168495i | \(0.946109\pi\) | |||||||
\(374\) | 7.77891 | + | 8.62217i | 0.402238 | + | 0.445842i | ||||
\(375\) | −6.53356 | + | 11.3165i | −0.337391 | + | 0.584379i | ||||
\(376\) | −6.15689 | − | 2.71934i | −0.317518 | − | 0.140239i | ||||
\(377\) | 6.71781 | − | 11.6356i | 0.345985 | − | 0.599263i | ||||
\(378\) | −6.96122 | + | 21.4968i | −0.358046 | + | 1.10568i | ||||
\(379\) | 35.9856 | 1.84846 | 0.924229 | − | 0.381838i | \(-0.124709\pi\) | ||||
0.924229 | + | 0.381838i | \(0.124709\pi\) | |||||||
\(380\) | −4.38210 | − | 4.23814i | −0.224797 | − | 0.217412i | ||||
\(381\) | 7.52887 | 0.385716 | ||||||||
\(382\) | 10.0163 | − | 30.9310i | 0.512476 | − | 1.58257i | ||||
\(383\) | −5.97796 | + | 10.3541i | −0.305459 | + | 0.529071i | −0.977364 | − | 0.211567i | \(-0.932143\pi\) |
0.671904 | + | 0.740638i | \(0.265477\pi\) | |||||||
\(384\) | −9.18147 | − | 20.2432i | −0.468540 | − | 1.03303i | ||||
\(385\) | −2.87814 | + | 4.98508i | −0.146683 | + | 0.254063i | ||||
\(386\) | 5.58379 | + | 6.18909i | 0.284208 | + | 0.315017i | ||||
\(387\) | 5.31496i | 0.270174i | ||||||||
\(388\) | −8.58826 | − | 19.1872i | −0.436003 | − | 0.974083i | ||||
\(389\) | 7.92809 | + | 13.7319i | 0.401970 | + | 0.696233i | 0.993964 | − | 0.109710i | \(-0.0349922\pi\) |
−0.591993 | + | 0.805943i | \(0.701659\pi\) | |||||||
\(390\) | −1.75046 | − | 1.94021i | −0.0886378 | − | 0.0982464i | ||||
\(391\) | − | 21.4111i | − | 1.08281i | ||||||
\(392\) | 12.4227 | + | 16.9920i | 0.627440 | + | 0.858225i | ||||
\(393\) | −17.9953 | + | 10.3896i | −0.907742 | + | 0.524085i | ||||
\(394\) | −3.37905 | − | 1.09422i | −0.170234 | − | 0.0551262i | ||||
\(395\) | −2.36868 | − | 4.10267i | −0.119181 | − | 0.206428i | ||||
\(396\) | 3.70616 | + | 0.382114i | 0.186241 | + | 0.0192020i | ||||
\(397\) | 8.11926 | − | 14.0630i | 0.407494 | − | 0.705800i | −0.587114 | − | 0.809504i | \(-0.699736\pi\) |
0.994608 | + | 0.103704i | \(0.0330694\pi\) | |||||||
\(398\) | −35.8219 | + | 7.65126i | −1.79559 | + | 0.383523i | ||||
\(399\) | 4.61752 | − | 32.2158i | 0.231165 | − | 1.61281i | ||||
\(400\) | −12.0206 | + | 13.4570i | −0.601029 | + | 0.672850i | ||||
\(401\) | 18.2022 | + | 10.5090i | 0.908975 | + | 0.524797i | 0.880101 | − | 0.474786i | \(-0.157475\pi\) |
0.0288735 | + | 0.999583i | \(0.490808\pi\) | |||||||
\(402\) | −14.2371 | − | 4.61033i | −0.710082 | − | 0.229943i | ||||
\(403\) | −9.04275 | + | 5.22083i | −0.450451 | + | 0.260068i | ||||
\(404\) | −1.41173 | + | 13.6925i | −0.0702362 | + | 0.681227i | ||||
\(405\) | 3.79032 | + | 6.56502i | 0.188342 | + | 0.326218i | ||||
\(406\) | 11.2147 | + | 52.5053i | 0.556575 | + | 2.60579i | ||||
\(407\) | −2.84276 | −0.140910 | ||||||||
\(408\) | 8.51117 | − | 19.2702i | 0.421366 | − | 0.954019i | ||||
\(409\) | −17.7446 | + | 10.2449i | −0.877415 | + | 0.506576i | −0.869805 | − | 0.493395i | \(-0.835756\pi\) |
−0.00761008 | + | 0.999971i | \(0.502422\pi\) | |||||||
\(410\) | −8.46604 | + | 1.80827i | −0.418108 | + | 0.0893043i | ||||
\(411\) | −21.7246 | −1.07160 | ||||||||
\(412\) | −14.6487 | − | 10.5986i | −0.721689 | − | 0.522157i | ||||
\(413\) | −21.6146 | − | 12.4792i | −1.06359 | − | 0.614062i | ||||
\(414\) | −4.60169 | − | 5.10053i | −0.226161 | − | 0.250677i | ||||
\(415\) | −0.941827 | − | 0.543764i | −0.0462325 | − | 0.0266923i | ||||
\(416\) | −3.83656 | − | 6.56979i | −0.188103 | − | 0.322110i | ||||
\(417\) | − | 7.04669i | − | 0.345078i | ||||||
\(418\) | 13.3216 | − | 0.908180i | 0.651581 | − | 0.0444205i | ||||
\(419\) | − | 24.8783i | − | 1.21539i | −0.794172 | − | 0.607693i | \(-0.792095\pi\) | ||
0.794172 | − | 0.607693i | \(-0.207905\pi\) | |||||||
\(420\) | 10.3872 | + | 1.07095i | 0.506845 | + | 0.0522570i | ||||
\(421\) | 6.32937 | + | 3.65427i | 0.308475 | + | 0.178098i | 0.646244 | − | 0.763131i | \(-0.276339\pi\) |
−0.337769 | + | 0.941229i | \(0.609672\pi\) | |||||||
\(422\) | −10.1284 | + | 9.13782i | −0.493042 | + | 0.444822i | ||||
\(423\) | −1.77241 | − | 1.02330i | −0.0861773 | − | 0.0497545i | ||||
\(424\) | 16.1839 | + | 7.14802i | 0.785960 | + | 0.347138i | ||||
\(425\) | −17.1008 | −0.829510 | ||||||||
\(426\) | 3.02277 | + | 14.1521i | 0.146454 | + | 0.685672i | ||||
\(427\) | −6.26011 | + | 3.61427i | −0.302948 | + | 0.174907i | ||||
\(428\) | 17.5019 | + | 12.6630i | 0.845985 | + | 0.612088i | ||||
\(429\) | 5.72350 | 0.276333 | ||||||||
\(430\) | −5.97678 | + | 1.27659i | −0.288226 | + | 0.0615627i | ||||
\(431\) | 18.4191 | + | 31.9028i | 0.887215 | + | 1.53670i | 0.843153 | + | 0.537673i | \(0.180697\pi\) |
0.0440620 | + | 0.999029i | \(0.485970\pi\) | |||||||
\(432\) | 5.26020 | + | 15.9737i | 0.253081 | + | 0.768535i | ||||
\(433\) | 20.7596 | − | 11.9856i | 0.997643 | − | 0.575989i | 0.0900928 | − | 0.995933i | \(-0.471284\pi\) |
0.907550 | + | 0.419944i | \(0.137950\pi\) | |||||||
\(434\) | 12.8546 | − | 39.6961i | 0.617041 | − | 1.90547i | ||||
\(435\) | 11.8863 | + | 6.86258i | 0.569906 | + | 0.329035i | ||||
\(436\) | −3.71090 | − | 8.29059i | −0.177720 | − | 0.397047i | ||||
\(437\) | −19.3586 | − | 15.2101i | −0.926048 | − | 0.727596i | ||||
\(438\) | 5.64227 | + | 26.4162i | 0.269598 | + | 1.26221i | ||||
\(439\) | 7.73644 | − | 13.3999i | 0.369240 | − | 0.639543i | −0.620207 | − | 0.784438i | \(-0.712951\pi\) |
0.989447 | + | 0.144896i | \(0.0462846\pi\) | |||||||
\(440\) | 0.460480 | + | 4.25943i | 0.0219525 | + | 0.203060i | ||||
\(441\) | 3.20015 | + | 5.54282i | 0.152388 | + | 0.263944i | ||||
\(442\) | 2.22131 | − | 6.85960i | 0.105657 | − | 0.326278i | ||||
\(443\) | 24.6029 | − | 14.2045i | 1.16892 | − | 0.674877i | 0.215495 | − | 0.976505i | \(-0.430864\pi\) |
0.953426 | + | 0.301628i | \(0.0975302\pi\) | |||||||
\(444\) | 2.10685 | + | 4.70696i | 0.0999868 | + | 0.223383i | ||||
\(445\) | − | 1.15792i | − | 0.0548905i | ||||||
\(446\) | −13.8206 | + | 12.4689i | −0.654422 | + | 0.590419i | ||||
\(447\) | −13.3433 | − | 23.1112i | −0.631115 | − | 1.09312i | ||||
\(448\) | 28.9693 | + | 9.22279i | 1.36867 | + | 0.435736i | ||||
\(449\) | − | 25.3208i | − | 1.19496i | −0.801883 | − | 0.597481i | \(-0.796169\pi\) | ||
0.801883 | − | 0.597481i | \(-0.203831\pi\) | |||||||
\(450\) | −4.07372 | + | 3.67530i | −0.192037 | + | 0.173255i | ||||
\(451\) | 9.48060 | − | 16.4209i | 0.446424 | − | 0.773229i | ||||
\(452\) | −3.76796 | + | 5.20780i | −0.177230 | + | 0.244954i | ||||
\(453\) | −16.8854 | + | 29.2464i | −0.793346 | + | 1.37411i | ||||
\(454\) | 15.1994 | + | 4.92195i | 0.713343 | + | 0.230999i | ||||
\(455\) | 3.57408 | 0.167555 | ||||||||
\(456\) | −11.3768 | − | 21.3845i | −0.532766 | − | 1.00142i | ||||
\(457\) | −18.5110 | −0.865908 | −0.432954 | − | 0.901416i | \(-0.642529\pi\) | ||||
−0.432954 | + | 0.901416i | \(0.642529\pi\) | |||||||
\(458\) | −26.5925 | − | 8.61133i | −1.24259 | − | 0.402381i | ||||
\(459\) | −7.96922 | + | 13.8031i | −0.371971 | + | 0.644273i | ||||
\(460\) | 4.63038 | − | 6.39978i | 0.215893 | − | 0.298391i | ||||
\(461\) | −7.93486 | + | 13.7436i | −0.369563 | + | 0.640102i | −0.989497 | − | 0.144552i | \(-0.953826\pi\) |
0.619934 | + | 0.784654i | \(0.287159\pi\) | |||||||
\(462\) | −16.9817 | + | 15.3208i | −0.790058 | + | 0.712789i | ||||
\(463\) | − | 7.51954i | − | 0.349463i | −0.984616 | − | 0.174731i | \(-0.944094\pi\) | ||
0.984616 | − | 0.174731i | \(-0.0559057\pi\) | |||||||
\(464\) | 29.8016 | + | 26.6205i | 1.38350 | + | 1.23583i | ||||
\(465\) | −5.33334 | − | 9.23762i | −0.247328 | − | 0.428384i | ||||
\(466\) | −3.52316 | + | 3.17859i | −0.163207 | + | 0.147245i | ||||
\(467\) | − | 4.97698i | − | 0.230307i | −0.993348 | − | 0.115154i | \(-0.963264\pi\) | ||
0.993348 | − | 0.115154i | \(-0.0367360\pi\) | |||||||
\(468\) | −0.945109 | − | 2.11149i | −0.0436877 | − | 0.0976035i | ||||
\(469\) | 17.7259 | − | 10.2340i | 0.818504 | − | 0.472563i | ||||
\(470\) | 0.725011 | − | 2.23889i | 0.0334422 | − | 0.103272i | ||||
\(471\) | −1.23027 | − | 2.13088i | −0.0566876 | − | 0.0981858i | ||||
\(472\) | −18.4683 | + | 1.99658i | −0.850074 | + | 0.0919000i | ||||
\(473\) | 6.69304 | − | 11.5927i | 0.307746 | − | 0.533032i | ||||
\(474\) | −3.93175 | − | 18.4078i | −0.180591 | − | 0.845498i | ||||
\(475\) | −12.1481 | + | 15.4615i | −0.557391 | + | 0.709420i | ||||
\(476\) | 11.7713 | + | 26.2986i | 0.539538 | + | 1.20539i | ||||
\(477\) | 4.65892 | + | 2.68983i | 0.213317 | + | 0.123159i | ||||
\(478\) | 1.58404 | − | 4.89165i | 0.0724523 | − | 0.223739i | ||||
\(479\) | −25.3467 | + | 14.6339i | −1.15812 | + | 0.668640i | −0.950853 | − | 0.309644i | \(-0.899790\pi\) |
−0.207267 | + | 0.978284i | \(0.566457\pi\) | |||||||
\(480\) | 6.71137 | − | 3.91924i | 0.306331 | − | 0.178888i | ||||
\(481\) | 0.882537 | + | 1.52860i | 0.0402402 | + | 0.0696981i | ||||
\(482\) | −32.7800 | + | 7.00154i | −1.49309 | + | 0.318912i | ||||
\(483\) | 42.1700 | 1.91880 | ||||||||
\(484\) | 10.2215 | + | 7.39546i | 0.464613 | + | 0.336157i | ||||
\(485\) | 6.36538 | − | 3.67505i | 0.289037 | − | 0.166876i | ||||
\(486\) | 2.56558 | + | 12.0116i | 0.116377 | + | 0.544858i | ||||
\(487\) | 21.2046 | 0.960871 | 0.480436 | − | 0.877030i | \(-0.340479\pi\) | ||||
0.480436 | + | 0.877030i | \(0.340479\pi\) | |||||||
\(488\) | −2.17365 | + | 4.92138i | −0.0983963 | + | 0.222780i | ||||
\(489\) | 41.8566 | + | 24.1659i | 1.89282 | + | 1.09282i | ||||
\(490\) | −5.46438 | + | 4.92996i | −0.246856 | + | 0.222713i | ||||
\(491\) | 1.20406 | + | 0.695164i | 0.0543384 | + | 0.0313723i | 0.526923 | − | 0.849913i | \(-0.323346\pi\) |
−0.472585 | + | 0.881285i | \(0.656679\pi\) | |||||||
\(492\) | −34.2156 | − | 3.52772i | −1.54256 | − | 0.159042i | ||||
\(493\) | 37.8710i | 1.70563i | ||||||||
\(494\) | −4.62404 | − | 6.88130i | −0.208046 | − | 0.309604i | ||||
\(495\) | 1.30271i | 0.0585525i | ||||||||
\(496\) | −9.71351 | − | 29.4971i | −0.436149 | − | 1.32446i | ||||
\(497\) | −17.1412 | − | 9.89645i | −0.768886 | − | 0.443917i | ||||
\(498\) | −2.89455 | − | 3.20833i | −0.129708 | − | 0.143769i | ||||
\(499\) | −6.38061 | − | 3.68385i | −0.285635 | − | 0.164912i | 0.350336 | − | 0.936624i | \(-0.386067\pi\) |
−0.635972 | + | 0.771712i | \(0.719401\pi\) | |||||||
\(500\) | −10.7769 | − | 7.79734i | −0.481959 | − | 0.348708i | ||||
\(501\) | −3.21080 | −0.143448 | ||||||||
\(502\) | −15.7261 | + | 3.35896i | −0.701889 | + | 0.149918i | ||||
\(503\) | −11.7917 | + | 6.80795i | −0.525767 | + | 0.303552i | −0.739291 | − | 0.673386i | \(-0.764839\pi\) |
0.213524 | + | 0.976938i | \(0.431506\pi\) | |||||||
\(504\) | 8.45623 | + | 3.73490i | 0.376671 | + | 0.166366i | ||||
\(505\) | −4.81290 | −0.214171 | ||||||||
\(506\) | 3.61393 | + | 16.9198i | 0.160659 | + | 0.752177i | ||||
\(507\) | 10.9937 | + | 19.0416i | 0.488246 | + | 0.845667i | ||||
\(508\) | −0.786027 | + | 7.62373i | −0.0348743 | + | 0.338249i | ||||
\(509\) | −11.4661 | + | 6.61997i | −0.508227 | + | 0.293425i | −0.732104 | − | 0.681192i | \(-0.761462\pi\) |
0.223878 | + | 0.974617i | \(0.428128\pi\) | |||||||
\(510\) | 7.00743 | + | 2.26918i | 0.310294 | + | 0.100481i | ||||
\(511\) | −31.9955 | − | 18.4726i | −1.41540 | − | 0.817179i | ||||
\(512\) | 21.4568 | − | 7.18374i | 0.948265 | − | 0.317479i | ||||
\(513\) | 6.81871 | + | 17.0107i | 0.301053 | + | 0.751041i | ||||
\(514\) | −7.40559 | + | 1.58177i | −0.326647 | + | 0.0697690i | ||||
\(515\) | 3.16093 | − | 5.47490i | 0.139287 | − | 0.241253i | ||||
\(516\) | −24.1552 | − | 2.49047i | −1.06338 | − | 0.109637i | ||||
\(517\) | 2.57725 | + | 4.46393i | 0.113347 | + | 0.196323i | ||||
\(518\) | −6.71029 | − | 2.17296i | −0.294833 | − | 0.0954745i | ||||
\(519\) | −7.94930 | + | 4.58953i | −0.348936 | + | 0.201458i | ||||
\(520\) | 2.14741 | − | 1.56995i | 0.0941701 | − | 0.0688469i | ||||
\(521\) | − | 16.0262i | − | 0.702122i | −0.936353 | − | 0.351061i | \(-0.885821\pi\) | ||
0.936353 | − | 0.351061i | \(-0.114179\pi\) | |||||||
\(522\) | 8.13925 | + | 9.02157i | 0.356245 | + | 0.394864i | ||||
\(523\) | −2.74232 | − | 4.74984i | −0.119913 | − | 0.207696i | 0.799820 | − | 0.600240i | \(-0.204928\pi\) |
−0.919733 | + | 0.392544i | \(0.871595\pi\) | |||||||
\(524\) | −8.64176 | − | 19.3067i | −0.377517 | − | 0.843418i | ||||
\(525\) | − | 33.6806i | − | 1.46994i | ||||||
\(526\) | −3.93812 | − | 4.36503i | −0.171710 | − | 0.190324i | ||||
\(527\) | 14.7160 | − | 25.4888i | 0.641039 | − | 1.11031i | ||||
\(528\) | −3.47324 | + | 16.6646i | −0.151153 | + | 0.725232i | ||||
\(529\) | 4.45005 | − | 7.70771i | 0.193480 | − | 0.335118i | ||||
\(530\) | −1.90575 | + | 5.88512i | −0.0827805 | + | 0.255633i | ||||
\(531\) | −5.64838 | −0.245119 | ||||||||
\(532\) | 32.1396 | + | 8.03908i | 1.39343 | + | 0.348538i | ||||
\(533\) | −11.7730 | −0.509947 | ||||||||
\(534\) | 1.41738 | − | 4.37699i | 0.0613360 | − | 0.189411i | ||||
\(535\) | −3.77660 | + | 6.54127i | −0.163277 | + | 0.282804i | ||||
\(536\) | 6.15480 | − | 13.9352i | 0.265847 | − | 0.601907i | ||||
\(537\) | 8.04470 | − | 13.9338i | 0.347154 | − | 0.601289i | ||||
\(538\) | −8.42651 | − | 9.33997i | −0.363293 | − | 0.402675i | ||||
\(539\) | − | 16.1196i | − | 0.694319i | ||||||
\(540\) | −5.36706 | + | 2.40231i | −0.230961 | + | 0.103379i | ||||
\(541\) | −20.3913 | − | 35.3187i | −0.876689 | − | 1.51847i | −0.854953 | − | 0.518706i | \(-0.826414\pi\) |
−0.0217359 | − | 0.999764i | \(-0.506919\pi\) | |||||||
\(542\) | −6.88468 | − | 7.63101i | −0.295722 | − | 0.327780i | ||||
\(543\) | 37.5712i | 1.61233i | ||||||||
\(544\) | 18.6245 | + | 10.6303i | 0.798517 | + | 0.455768i | ||||
\(545\) | 2.75041 | − | 1.58795i | 0.117815 | − | 0.0680204i | ||||
\(546\) | 13.5102 | + | 4.37495i | 0.578184 | + | 0.187231i | ||||
\(547\) | 8.11367 | + | 14.0533i | 0.346916 | + | 0.600875i | 0.985700 | − | 0.168511i | \(-0.0538957\pi\) |
−0.638784 | + | 0.769386i | \(0.720562\pi\) | |||||||
\(548\) | 2.26809 | − | 21.9984i | 0.0968880 | − | 0.939724i | ||||
\(549\) | −0.817951 | + | 1.41673i | −0.0349093 | + | 0.0604647i | ||||
\(550\) | 13.5136 | − | 2.88639i | 0.576223 | − | 0.123076i | ||||
\(551\) | 34.2406 | + | 26.9028i | 1.45870 | + | 1.14610i | ||||
\(552\) | 25.3369 | − | 18.5236i | 1.07841 | − | 0.788417i | ||||
\(553\) | 22.2957 | + | 12.8724i | 0.948108 | + | 0.547390i | ||||
\(554\) | 11.0191 | + | 3.56826i | 0.468156 | + | 0.151601i | ||||
\(555\) | −1.56154 | + | 0.901556i | −0.0662837 | + | 0.0382689i | ||||
\(556\) | 7.13548 | + | 0.735687i | 0.302612 | + | 0.0312001i | ||||
\(557\) | 12.8573 | + | 22.2694i | 0.544779 | + | 0.943586i | 0.998621 | + | 0.0525031i | \(0.0167199\pi\) |
−0.453841 | + | 0.891082i | \(0.649947\pi\) | |||||||
\(558\) | −1.97245 | − | 9.23467i | −0.0835004 | − | 0.390935i | ||||
\(559\) | −8.31143 | −0.351536 | ||||||||
\(560\) | −2.16889 | + | 10.4063i | −0.0916522 | + | 0.439746i | ||||
\(561\) | −13.9715 | + | 8.06643i | −0.589876 | + | 0.340565i | ||||
\(562\) | 17.2673 | − | 3.68816i | 0.728379 | − | 0.155576i | ||||
\(563\) | −3.46283 | −0.145941 | −0.0729704 | − | 0.997334i | \(-0.523248\pi\) | ||||
−0.0729704 | + | 0.997334i | \(0.523248\pi\) | |||||||
\(564\) | 5.48117 | − | 7.57568i | 0.230799 | − | 0.318994i | ||||
\(565\) | −1.94640 | − | 1.12375i | −0.0818856 | − | 0.0472767i | ||||
\(566\) | −15.1876 | − | 16.8340i | −0.638383 | − | 0.707586i | ||||
\(567\) | −35.6771 | − | 20.5982i | −1.49830 | − | 0.865043i | ||||
\(568\) | −14.6460 | + | 1.58336i | −0.614533 | + | 0.0664362i | ||||
\(569\) | 23.9727i | 1.00499i | 0.864580 | + | 0.502495i | \(0.167584\pi\) | ||||
−0.864580 | + | 0.502495i | \(0.832416\pi\) | |||||||
\(570\) | 7.02959 | − | 4.72369i | 0.294437 | − | 0.197854i | ||||
\(571\) | 2.19178i | 0.0917230i | 0.998948 | + | 0.0458615i | \(0.0146033\pi\) | ||||
−0.998948 | + | 0.0458615i | \(0.985397\pi\) | |||||||
\(572\) | −0.597543 | + | 5.79562i | −0.0249845 | + | 0.242327i | ||||
\(573\) | 39.1165 | + | 22.5839i | 1.63412 | + | 0.943457i | ||||
\(574\) | 34.9307 | − | 31.5144i | 1.45798 | − | 1.31539i | ||||
\(575\) | −22.0647 | − | 12.7391i | −0.920163 | − | 0.531256i | ||||
\(576\) | 6.72134 | − | 1.47045i | 0.280056 | − | 0.0612688i | ||||
\(577\) | −2.12423 | −0.0884328 | −0.0442164 | − | 0.999022i | \(-0.514079\pi\) | ||||
−0.0442164 | + | 0.999022i | \(0.514079\pi\) | |||||||
\(578\) | −0.776600 | − | 3.63591i | −0.0323023 | − | 0.151234i | ||||
\(579\) | −10.0289 | + | 5.79018i | −0.416786 | + | 0.240632i | ||||
\(580\) | −8.19000 | + | 11.3196i | −0.340071 | + | 0.470022i | ||||
\(581\) | 5.91009 | 0.245192 | ||||||||
\(582\) | 28.5601 | − | 6.10019i | 1.18385 | − | 0.252861i | ||||
\(583\) | −6.77451 | − | 11.7338i | −0.280572 | − | 0.485964i | ||||
\(584\) | −27.3381 | + | 2.95547i | −1.13126 | + | 0.122298i | ||||
\(585\) | 0.700488 | − | 0.404427i | 0.0289616 | − | 0.0167210i | ||||
\(586\) | −3.39233 | + | 10.4758i | −0.140136 | + | 0.432751i | ||||
\(587\) | 38.4523 | + | 22.2004i | 1.58710 | + | 0.916310i | 0.993783 | + | 0.111338i | \(0.0355136\pi\) |
0.593313 | + | 0.804972i | \(0.297820\pi\) | |||||||
\(588\) | −26.6903 | + | 11.9467i | −1.10069 | + | 0.492673i | ||||
\(589\) | −12.5915 | − | 31.4121i | −0.518822 | − | 1.29431i | ||||
\(590\) | −1.35667 | − | 6.35172i | −0.0558534 | − | 0.261496i | ||||
\(591\) | 2.46718 | − | 4.27327i | 0.101486 | − | 0.175779i | ||||
\(592\) | −4.98623 | + | 1.64199i | −0.204933 | + | 0.0674852i | ||||
\(593\) | 21.5901 | + | 37.3952i | 0.886600 | + | 1.53564i | 0.843868 | + | 0.536551i | \(0.180273\pi\) |
0.0427323 | + | 0.999087i | \(0.486394\pi\) | |||||||
\(594\) | 3.96776 | − | 12.2528i | 0.162799 | − | 0.502737i | ||||
\(595\) | −8.72458 | + | 5.03714i | −0.357673 | + | 0.206502i | ||||
\(596\) | 24.7955 | − | 11.0986i | 1.01566 | − | 0.454614i | ||||
\(597\) | − | 50.8882i | − | 2.08271i | ||||||
\(598\) | 7.97611 | − | 7.19603i | 0.326167 | − | 0.294268i | ||||
\(599\) | 0.631476 | + | 1.09375i | 0.0258014 | + | 0.0446894i | 0.878638 | − | 0.477489i | \(-0.158453\pi\) |
−0.852836 | + | 0.522178i | \(0.825120\pi\) | |||||||
\(600\) | −14.7945 | − | 20.2363i | −0.603985 | − | 0.826142i | ||||
\(601\) | − | 44.5502i | − | 1.81724i | −0.417623 | − | 0.908620i | \(-0.637137\pi\) | ||
0.417623 | − | 0.908620i | \(-0.362863\pi\) | |||||||
\(602\) | 24.6601 | − | 22.2483i | 1.00507 | − | 0.906772i | ||||
\(603\) | 2.31608 | − | 4.01156i | 0.0943179 | − | 0.163363i | ||||
\(604\) | −27.8520 | − | 20.1515i | −1.13328 | − | 0.819954i | ||||
\(605\) | −2.20562 | + | 3.82024i | −0.0896712 | + | 0.155315i | ||||
\(606\) | −18.1930 | − | 5.89137i | −0.739042 | − | 0.239320i | ||||
\(607\) | −38.9798 | −1.58214 | −0.791070 | − | 0.611725i | \(-0.790476\pi\) | ||||
−0.791070 | + | 0.611725i | \(0.790476\pi\) | |||||||
\(608\) | 22.8417 | − | 9.28755i | 0.926352 | − | 0.376660i | ||||
\(609\) | −74.5883 | −3.02247 | ||||||||
\(610\) | −1.78961 | − | 0.579521i | −0.0724592 | − | 0.0234641i | ||||
\(611\) | 1.60022 | − | 2.77166i | 0.0647378 | − | 0.112129i | ||||
\(612\) | 5.28291 | + | 3.82230i | 0.213549 | + | 0.154507i | ||||
\(613\) | 1.77359 | − | 3.07196i | 0.0716348 | − | 0.124075i | −0.827983 | − | 0.560753i | \(-0.810512\pi\) |
0.899618 | + | 0.436678i | \(0.143845\pi\) | |||||||
\(614\) | 2.39708 | − | 2.16264i | 0.0967382 | − | 0.0872771i | ||||
\(615\) | − | 12.0267i | − | 0.484965i | ||||||
\(616\) | −13.7410 | − | 18.7952i | −0.553639 | − | 0.757278i | ||||
\(617\) | 19.7132 | + | 34.1443i | 0.793623 | + | 1.37460i | 0.923710 | + | 0.383093i | \(0.125141\pi\) |
−0.130086 | + | 0.991503i | \(0.541526\pi\) | |||||||
\(618\) | 18.6502 | − | 16.8262i | 0.750222 | − | 0.676849i | ||||
\(619\) | − | 5.58415i | − | 0.224446i | −0.993683 | − | 0.112223i | \(-0.964203\pi\) | ||
0.993683 | − | 0.112223i | \(-0.0357971\pi\) | |||||||
\(620\) | 9.91083 | − | 4.43612i | 0.398028 | − | 0.178159i | ||||
\(621\) | −20.5650 | + | 11.8732i | −0.825244 | + | 0.476455i | ||||
\(622\) | −4.62094 | + | 14.2698i | −0.185283 | + | 0.572168i | ||||
\(623\) | 3.14630 | + | 5.44956i | 0.126054 | + | 0.218332i | ||||
\(624\) | 10.0391 | − | 3.30591i | 0.401885 | − | 0.132342i | ||||
\(625\) | −8.95200 | + | 15.5053i | −0.358080 | + | 0.620213i | ||||
\(626\) | 10.0200 | + | 46.9119i | 0.400479 | + | 1.87498i | ||||
\(627\) | −2.63190 | + | 18.3624i | −0.105108 | + | 0.733322i | ||||
\(628\) | 2.28617 | − | 1.02330i | 0.0912282 | − | 0.0408341i | ||||
\(629\) | −4.30867 | − | 2.48761i | −0.171798 | − | 0.0991876i | ||||
\(630\) | −0.995771 | + | 3.07502i | −0.0396725 | + | 0.122512i | ||||
\(631\) | −19.8544 | + | 11.4629i | −0.790390 | + | 0.456332i | −0.840100 | − | 0.542432i | \(-0.817504\pi\) |
0.0497097 | + | 0.998764i | \(0.484170\pi\) | |||||||
\(632\) | 19.0502 | − | 2.05949i | 0.757777 | − | 0.0819219i | ||||
\(633\) | −9.47557 | − | 16.4122i | −0.376620 | − | 0.652325i | ||||
\(634\) | 30.6746 | − | 6.55185i | 1.21825 | − | 0.260207i | ||||
\(635\) | −2.67974 | −0.106342 | ||||||||
\(636\) | −14.4077 | + | 19.9133i | −0.571302 | + | 0.789614i | ||||
\(637\) | −8.66776 | + | 5.00433i | −0.343429 | + | 0.198279i | ||||
\(638\) | −6.39215 | − | 29.9270i | −0.253068 | − | 1.18482i | ||||
\(639\) | −4.47936 | −0.177201 | ||||||||
\(640\) | 3.26794 | + | 7.20511i | 0.129177 | + | 0.284807i | ||||
\(641\) | −10.9179 | − | 6.30344i | −0.431230 | − | 0.248971i | 0.268640 | − | 0.963241i | \(-0.413426\pi\) |
−0.699871 | + | 0.714270i | \(0.746759\pi\) | |||||||
\(642\) | −22.2828 | + | 20.1035i | −0.879432 | + | 0.793422i | ||||
\(643\) | 13.9691 | + | 8.06508i | 0.550889 | + | 0.318056i | 0.749480 | − | 0.662027i | \(-0.230303\pi\) |
−0.198592 | + | 0.980082i | \(0.563637\pi\) | |||||||
\(644\) | −4.40262 | + | 42.7013i | −0.173487 | + | 1.68267i | ||||
\(645\) | − | 8.49055i | − | 0.334315i | ||||||
\(646\) | 20.9858 | + | 10.2808i | 0.825675 | + | 0.404494i | ||||
\(647\) | − | 16.5815i | − | 0.651885i | −0.945390 | − | 0.325942i | \(-0.894318\pi\) | ||
0.945390 | − | 0.325942i | \(-0.105682\pi\) | |||||||
\(648\) | −30.4838 | + | 3.29555i | −1.19752 | + | 0.129461i | ||||
\(649\) | 12.3199 | + | 7.11291i | 0.483599 | + | 0.279206i | ||||
\(650\) | −5.74737 | − | 6.37041i | −0.225430 | − | 0.249868i | ||||
\(651\) | 50.2012 | + | 28.9837i | 1.96754 | + | 1.13596i | ||||
\(652\) | −28.8403 | + | 39.8611i | −1.12947 | + | 1.56108i | ||||
\(653\) | 12.0967 | 0.473380 | 0.236690 | − | 0.971585i | \(-0.423938\pi\) | ||||
0.236690 | + | 0.971585i | \(0.423938\pi\) | |||||||
\(654\) | 12.3405 | − | 2.63583i | 0.482552 | − | 0.103069i | ||||
\(655\) | 6.40503 | − | 3.69794i | 0.250265 | − | 0.144491i | ||||
\(656\) | 7.14433 | − | 34.2784i | 0.278939 | − | 1.33835i | ||||
\(657\) | −8.36112 | −0.326198 | ||||||||
\(658\) | 2.67140 | + | 12.5070i | 0.104142 | + | 0.487575i | ||||
\(659\) | −11.8246 | − | 20.4808i | −0.460620 | − | 0.797817i | 0.538372 | − | 0.842707i | \(-0.319040\pi\) |
−0.998992 | + | 0.0448903i | \(0.985706\pi\) | |||||||
\(660\) | −5.92052 | − | 0.610420i | −0.230456 | − | 0.0237606i | ||||
\(661\) | 2.32766 | − | 1.34388i | 0.0905356 | − | 0.0522707i | −0.454049 | − | 0.890977i | \(-0.650021\pi\) |
0.544584 | + | 0.838706i | \(0.316687\pi\) | |||||||
\(662\) | 27.3626 | + | 8.86071i | 1.06348 | + | 0.344381i | ||||
\(663\) | 8.67490 | + | 5.00846i | 0.336905 | + | 0.194512i | ||||
\(664\) | 3.55095 | − | 2.59607i | 0.137804 | − | 0.100747i | ||||
\(665\) | −1.64351 | + | 11.4665i | −0.0637324 | + | 0.444652i | ||||
\(666\) | −1.56104 | + | 0.333425i | −0.0604892 | + | 0.0129200i | ||||
\(667\) | −28.2117 | + | 48.8641i | −1.09236 | + | 1.89203i | ||||
\(668\) | 0.335213 | − | 3.25125i | 0.0129698 | − | 0.125795i | ||||
\(669\) | −12.9298 | − | 22.3950i | −0.499893 | − | 0.865841i | ||||
\(670\) | 5.06738 | + | 1.64095i | 0.195770 | + | 0.0633953i | ||||
\(671\) | 3.56814 | − | 2.06007i | 0.137746 | − | 0.0795280i | ||||
\(672\) | −20.9367 | + | 36.6815i | −0.807649 | + | 1.41502i | ||||
\(673\) | 21.2105i | 0.817606i | 0.912623 | + | 0.408803i | \(0.134054\pi\) | ||||
−0.912623 | + | 0.408803i | \(0.865946\pi\) | |||||||
\(674\) | −4.33338 | − | 4.80314i | −0.166916 | − | 0.185010i | ||||
\(675\) | 9.48296 | + | 16.4250i | 0.364999 | + | 0.632197i | ||||
\(676\) | −20.4293 | + | 9.14422i | −0.785742 | + | 0.351701i | ||||
\(677\) | 4.31879i | 0.165985i | 0.996550 | + | 0.0829923i | \(0.0264477\pi\) | ||||
−0.996550 | + | 0.0829923i | \(0.973552\pi\) | |||||||
\(678\) | −5.98194 | − | 6.63040i | −0.229735 | − | 0.254639i | ||||
\(679\) | −19.9718 | + | 34.5922i | −0.766447 | + | 1.32753i | ||||
\(680\) | −3.02936 | + | 6.85882i | −0.116171 | + | 0.263024i | ||||
\(681\) | −11.0977 | + | 19.2217i | −0.425263 | + | 0.736577i | ||||
\(682\) | −7.32688 | + | 22.6260i | −0.280561 | + | 0.866395i | ||||
\(683\) | 1.45793 | 0.0557860 | 0.0278930 | − | 0.999611i | \(-0.491120\pi\) | ||||
0.0278930 | + | 0.999611i | \(0.491120\pi\) | |||||||
\(684\) | 7.20876 | − | 2.06119i | 0.275634 | − | 0.0788115i | ||||
\(685\) | 7.73241 | 0.295440 | ||||||||
\(686\) | 0.731603 | − | 2.25925i | 0.0279327 | − | 0.0862586i | ||||
\(687\) | 19.4162 | − | 33.6298i | 0.740774 | − | 1.28306i | ||||
\(688\) | 5.04370 | − | 24.1996i | 0.192289 | − | 0.922601i | ||||
\(689\) | −4.20630 | + | 7.28553i | −0.160247 | + | 0.277557i | ||||
\(690\) | 7.35111 | + | 8.14800i | 0.279852 | + | 0.310189i | ||||
\(691\) | 11.5350i | 0.438811i | 0.975634 | + | 0.219405i | \(0.0704118\pi\) | ||||
−0.975634 | + | 0.219405i | \(0.929588\pi\) | |||||||
\(692\) | −3.81744 | − | 8.52862i | −0.145117 | − | 0.324210i | ||||
\(693\) | −3.53974 | − | 6.13101i | −0.134464 | − | 0.232898i | ||||
\(694\) | 25.5814 | + | 28.3545i | 0.971056 | + | 1.07632i | ||||
\(695\) | 2.50812i | 0.0951383i | ||||||||
\(696\) | −44.8148 | + | 32.7637i | −1.69870 | + | 1.24190i | ||||
\(697\) | 28.7388 | − | 16.5924i | 1.08856 | − | 0.628481i | ||||
\(698\) | −16.2011 | − | 5.24632i | −0.613220 | − | 0.198576i | ||||
\(699\) | −3.29607 | − | 5.70897i | −0.124669 | − | 0.215933i | ||||
\(700\) | 34.1050 | + | 3.51631i | 1.28905 | + | 0.132904i | ||||
\(701\) | 20.5836 | − | 35.6519i | 0.777433 | − | 1.34655i | −0.155984 | − | 0.987760i | \(-0.549855\pi\) |
0.933417 | − | 0.358793i | \(-0.116812\pi\) | |||||||
\(702\) | −7.82031 | + | 1.67035i | −0.295158 | + | 0.0630434i | ||||
\(703\) | −5.30994 | + | 2.12848i | −0.200268 | + | 0.0802771i | ||||
\(704\) | −16.5119 | − | 5.25681i | −0.622317 | − | 0.198124i | ||||
\(705\) | 2.83139 | + | 1.63470i | 0.106636 | + | 0.0615664i | ||||
\(706\) | −34.5148 | − | 11.1768i | −1.29898 | − | 0.420643i | ||||
\(707\) | 22.6512 | − | 13.0777i | 0.851885 | − | 0.491836i | ||||
\(708\) | 2.64670 | − | 25.6706i | 0.0994691 | − | 0.964759i | ||||
\(709\) | 6.18838 | + | 10.7186i | 0.232410 | + | 0.402545i | 0.958517 | − | 0.285036i | \(-0.0920057\pi\) |
−0.726107 | + | 0.687582i | \(0.758672\pi\) | |||||||
\(710\) | −1.07589 | − | 5.03714i | −0.0403774 | − | 0.189040i | ||||
\(711\) | 5.82634 | 0.218505 | ||||||||
\(712\) | 4.28416 | + | 1.89220i | 0.160556 | + | 0.0709134i | ||||
\(713\) | 37.9754 | − | 21.9251i | 1.42219 | − | 0.821101i | ||||
\(714\) | −39.1453 | + | 8.36110i | −1.46497 | + | 0.312906i | ||||
\(715\) | −2.03715 | −0.0761853 | ||||||||
\(716\) | 13.2695 | + | 9.60078i | 0.495905 | + | 0.358798i | ||||
\(717\) | 6.18616 | + | 3.57158i | 0.231026 | + | 0.133383i | ||||
\(718\) | 8.52347 | + | 9.44744i | 0.318093 | + | 0.352575i | ||||
\(719\) | 30.4414 | + | 17.5754i | 1.13527 | + | 0.655450i | 0.945256 | − | 0.326331i | \(-0.105812\pi\) |
0.190017 | + | 0.981781i | \(0.439146\pi\) | |||||||
\(720\) | 0.752448 | + | 2.28497i | 0.0280421 | + | 0.0851557i | ||||
\(721\) | 34.3557i | 1.27947i | ||||||||
\(722\) | 24.2032 | − | 11.6707i | 0.900749 | − | 0.434340i | ||||
\(723\) | − | 46.5669i | − | 1.73184i | ||||||
\(724\) | −38.0446 | − | 3.92250i | −1.41392 | − | 0.145778i | ||||
\(725\) | 39.0271 | + | 22.5323i | 1.44943 | + | 0.836828i | ||||
\(726\) | −13.0137 | + | 11.7409i | −0.482982 | + | 0.435746i | ||||
\(727\) | −0.627182 | − | 0.362104i | −0.0232609 | − | 0.0134297i | 0.488324 | − | 0.872662i | \(-0.337608\pi\) |
−0.511585 | + | 0.859232i | \(0.670942\pi\) | |||||||
\(728\) | −5.84057 | + | 13.2237i | −0.216466 | + | 0.490103i | ||||
\(729\) | 15.4578 | 0.572511 | ||||||||
\(730\) | −2.00824 | − | 9.40226i | −0.0743284 | − | 0.347993i | ||||
\(731\) | 20.2888 | − | 11.7137i | 0.750408 | − | 0.433248i | ||||
\(732\) | −6.05545 | − | 4.38125i | −0.223816 | − | 0.161936i | ||||
\(733\) | −23.5335 | −0.869229 | −0.434615 | − | 0.900617i | \(-0.643115\pi\) | ||||
−0.434615 | + | 0.900617i | \(0.643115\pi\) | |||||||
\(734\) | −20.1903 | + | 4.31248i | −0.745238 | + | 0.159176i | ||||
\(735\) | −5.11218 | − | 8.85455i | −0.188565 | − | 0.326605i | ||||
\(736\) | 16.1118 | + | 27.5901i | 0.593888 | + | 1.01698i | ||||
\(737\) | −10.1034 | + | 5.83320i | −0.372163 | + | 0.214869i | ||||
\(738\) | 3.28008 | − | 10.1292i | 0.120741 | − | 0.372859i | ||||
\(739\) | −26.8193 | − | 15.4841i | −0.986565 | − | 0.569594i | −0.0823193 | − | 0.996606i | \(-0.526233\pi\) |
−0.904246 | + | 0.427012i | \(0.859566\pi\) | |||||||
\(740\) | −0.749888 | − | 1.67534i | −0.0275664 | − | 0.0615867i | ||||
\(741\) | 10.6908 | − | 4.28539i | 0.392737 | − | 0.157428i | ||||
\(742\) | −7.02198 | − | 32.8757i | −0.257785 | − | 1.20691i | ||||
\(743\) | 8.64306 | − | 14.9702i | 0.317083 | − | 0.549204i | −0.662795 | − | 0.748801i | \(-0.730630\pi\) |
0.979878 | + | 0.199597i | \(0.0639632\pi\) | |||||||
\(744\) | 42.8937 | − | 4.63716i | 1.57256 | − | 0.170007i | ||||
\(745\) | 4.74925 | + | 8.22593i | 0.173999 | + | 0.301375i | ||||
\(746\) | 2.83560 | − | 8.75656i | 0.103819 | − | 0.320600i | ||||
\(747\) | 1.15833 | − | 0.668760i | 0.0423810 | − | 0.0244687i | ||||
\(748\) | −6.70943 | − | 14.9897i | −0.245321 | − | 0.548076i | ||||
\(749\) | − | 41.0473i | − | 1.49984i | ||||||
\(750\) | 13.7208 | − | 12.3789i | 0.501014 | − | 0.452014i | ||||
\(751\) | −21.6481 | − | 37.4955i | −0.789949 | − | 1.36823i | −0.925998 | − | 0.377530i | \(-0.876774\pi\) |
0.136049 | − | 0.990702i | \(-0.456560\pi\) | |||||||
\(752\) | 7.09889 | + | 6.34114i | 0.258870 | + | 0.231238i | ||||
\(753\) | − | 22.3403i | − | 0.814125i | ||||||
\(754\) | −14.1078 | + | 12.7280i | −0.513775 | + | 0.463527i | ||||
\(755\) | 6.00999 | − | 10.4096i | 0.218726 | − | 0.378844i | ||||
\(756\) | 18.7316 | − | 25.8896i | 0.681263 | − | 0.941594i | ||||
\(757\) | −21.8940 | + | 37.9215i | −0.795750 | + | 1.37828i | 0.126612 | + | 0.991952i | \(0.459590\pi\) |
−0.922362 | + | 0.386327i | \(0.873744\pi\) | |||||||
\(758\) | −48.4161 | − | 15.6784i | −1.75855 | − | 0.569464i | ||||
\(759\) | −24.0361 | −0.872454 | ||||||||
\(760\) | 4.04931 | + | 7.61133i | 0.146884 | + | 0.276092i | ||||
\(761\) | −40.4089 | −1.46482 | −0.732411 | − | 0.680862i | \(-0.761605\pi\) | ||||
−0.732411 | + | 0.680862i | \(0.761605\pi\) | |||||||
\(762\) | −10.1296 | − | 3.28021i | −0.366955 | − | 0.118829i | ||||
\(763\) | −8.62961 | + | 14.9469i | −0.312413 | + | 0.541115i | ||||
\(764\) | −26.9523 | + | 37.2516i | −0.975101 | + | 1.34772i | ||||
\(765\) | −1.13996 | + | 1.97447i | −0.0412154 | + | 0.0713871i | ||||
\(766\) | 12.5541 | − | 11.3262i | 0.453596 | − | 0.409234i | ||||
\(767\) | − | 8.83283i | − | 0.318935i | ||||||
\(768\) | 3.53339 | + | 31.2360i | 0.127500 | + | 1.12713i | ||||
\(769\) | −11.8696 | − | 20.5588i | −0.428029 | − | 0.741369i | 0.568669 | − | 0.822567i | \(-0.307459\pi\) |
−0.996698 | + | 0.0811981i | \(0.974125\pi\) | |||||||
\(770\) | 6.04425 | − | 5.45311i | 0.217820 | − | 0.196517i | ||||
\(771\) | − | 10.5203i | − | 0.378879i | ||||||
\(772\) | −4.81611 | − | 10.7598i | −0.173335 | − | 0.387252i | ||||
\(773\) | −18.6399 | + | 10.7618i | −0.670432 | + | 0.387074i | −0.796240 | − | 0.604981i | \(-0.793181\pi\) |
0.125809 | + | 0.992055i | \(0.459847\pi\) | |||||||
\(774\) | 2.31564 | − | 7.15090i | 0.0832340 | − | 0.257034i | ||||
\(775\) | −17.5113 | − | 30.3304i | −0.629023 | − | 1.08950i | ||||
\(776\) | 3.19533 | + | 29.5568i | 0.114706 | + | 1.06103i | ||||
\(777\) | 4.89944 | − | 8.48608i | 0.175766 | − | 0.304436i | ||||
\(778\) | −4.68393 | − | 21.9294i | −0.167927 | − | 0.786206i | ||||
\(779\) | 5.41372 | − | 37.7707i | 0.193967 | − | 1.35328i | ||||
\(780\) | 1.50979 | + | 3.37306i | 0.0540593 | + | 0.120775i | ||||
\(781\) | 9.77013 | + | 5.64079i | 0.349603 | + | 0.201843i | ||||
\(782\) | −9.32850 | + | 28.8072i | −0.333586 | + | 1.03014i | ||||
\(783\) | 36.3744 | − | 21.0008i | 1.29991 | − | 0.750506i | ||||
\(784\) | −9.31070 | − | 28.2739i | −0.332525 | − | 1.00978i | ||||
\(785\) | 0.437886 | + | 0.758441i | 0.0156288 | + | 0.0270699i | ||||
\(786\) | 28.7380 | − | 6.13819i | 1.02505 | − | 0.218942i | ||||
\(787\) | 35.1471 | 1.25286 | 0.626429 | − | 0.779478i | \(-0.284516\pi\) | ||||
0.626429 | + | 0.779478i | \(0.284516\pi\) | |||||||
\(788\) | 4.06954 | + | 2.94440i | 0.144971 | + | 0.104890i | ||||
\(789\) | 7.07315 | − | 4.08368i | 0.251811 | − | 0.145383i | ||||
\(790\) | 1.39942 | + | 6.55185i | 0.0497891 | + | 0.233104i | ||||
\(791\) | 12.2139 | 0.434277 | ||||||||
\(792\) | −4.81989 | − | 2.12882i | −0.171267 | − | 0.0756444i | ||||
\(793\) | −2.21546 | − | 1.27910i | −0.0786733 | − | 0.0454221i | ||||
\(794\) | −17.0509 | + | 15.3833i | −0.605114 | + | 0.545933i | ||||
\(795\) | −7.44253 | − | 4.29695i | −0.263959 | − | 0.152397i | ||||
\(796\) | 51.5294 | + | 5.31281i | 1.82641 | + | 0.188308i | ||||
\(797\) | 23.9168i | 0.847175i | 0.905855 | + | 0.423587i | \(0.139229\pi\) | ||||
−0.905855 | + | 0.423587i | \(0.860771\pi\) | |||||||
\(798\) | −20.2484 | + | 41.3322i | −0.716787 | + | 1.46315i | ||||
\(799\) | 9.02108i | 0.319143i | ||||||||
\(800\) | 22.0358 | − | 12.8683i | 0.779084 | − | 0.454962i | ||||
\(801\) | 1.23330 | + | 0.712044i | 0.0435764 | + | 0.0251588i | ||||
\(802\) | −19.9111 | − | 22.0696i | −0.703087 | − | 0.779304i | ||||
\(803\) | 18.2368 | + | 10.5290i | 0.643563 | + | 0.371561i | ||||
\(804\) | 17.1464 | + | 12.4058i | 0.604705 | + | 0.437517i | ||||
\(805\) | −15.0095 | −0.529015 | ||||||||
\(806\) | 14.4410 | − | 3.08448i | 0.508663 | − | 0.108646i | ||||
\(807\) | 15.1346 | − | 8.73797i | 0.532763 | − | 0.307591i | ||||
\(808\) | 7.86498 | − | 17.8072i | 0.276689 | − | 0.626455i | ||||
\(809\) | −14.6516 | −0.515124 | −0.257562 | − | 0.966262i | \(-0.582919\pi\) | ||||
−0.257562 | + | 0.966262i | \(0.582919\pi\) | |||||||
\(810\) | −2.23933 | − | 10.4841i | −0.0786819 | − | 0.368375i | ||||
\(811\) | −10.3541 | − | 17.9338i | −0.363580 | − | 0.629739i | 0.624967 | − | 0.780651i | \(-0.285112\pi\) |
−0.988547 | + | 0.150912i | \(0.951779\pi\) | |||||||
\(812\) | 7.78715 | − | 75.5282i | 0.273275 | − | 2.65052i | ||||
\(813\) | 12.3654 | − | 7.13915i | 0.433673 | − | 0.250381i | ||||
\(814\) | 3.82473 | + | 1.23855i | 0.134057 | + | 0.0434110i | ||||
\(815\) | −14.8979 | − | 8.60133i | −0.521852 | − | 0.301292i | ||||
\(816\) | −19.8469 | + | 22.2186i | −0.694781 | + | 0.777805i | ||||
\(817\) | 3.82193 | − | 26.6651i | 0.133712 | − | 0.932893i | ||||
\(818\) | 28.3377 | − | 6.05269i | 0.990803 | − | 0.211627i | ||||
\(819\) | −2.19783 | + | 3.80675i | −0.0767984 | + | 0.133019i | ||||
\(820\) | 12.1783 | + | 1.25561i | 0.425284 | + | 0.0438479i | ||||
\(821\) | 19.7128 | + | 34.1435i | 0.687980 | + | 1.19162i | 0.972490 | + | 0.232943i | \(0.0748356\pi\) |
−0.284510 | + | 0.958673i | \(0.591831\pi\) | |||||||
\(822\) | 29.2290 | + | 9.46508i | 1.01948 | + | 0.330133i | ||||
\(823\) | −17.3803 | + | 10.0345i | −0.605840 | + | 0.349782i | −0.771336 | − | 0.636429i | \(-0.780411\pi\) |
0.165495 | + | 0.986211i | \(0.447078\pi\) | |||||||
\(824\) | 15.0911 | + | 20.6419i | 0.525724 | + | 0.719095i | ||||
\(825\) | 19.1973i | 0.668363i | ||||||||
\(826\) | 23.6440 | + | 26.2071i | 0.822679 | + | 0.911860i | ||||
\(827\) | 14.8203 | + | 25.6695i | 0.515352 | + | 0.892615i | 0.999841 | + | 0.0178181i | \(0.00567198\pi\) |
−0.484490 | + | 0.874797i | \(0.660995\pi\) | |||||||
\(828\) | 3.96902 | + | 8.86728i | 0.137933 | + | 0.308159i | ||||
\(829\) | 15.5395i | 0.539709i | 0.962901 | + | 0.269855i | \(0.0869756\pi\) | ||||
−0.962901 | + | 0.269855i | \(0.913024\pi\) | |||||||
\(830\) | 1.03025 | + | 1.14193i | 0.0357606 | + | 0.0396371i | ||||
\(831\) | −8.04545 | + | 13.9351i | −0.279094 | + | 0.483404i | ||||
\(832\) | 2.29947 | + | 10.5107i | 0.0797196 | + | 0.364393i | ||||
\(833\) | 14.1057 | − | 24.4319i | 0.488735 | − | 0.846514i | ||||
\(834\) | −3.07013 | + | 9.48082i | −0.106310 | + | 0.328294i | ||||
\(835\) | 1.14281 | 0.0395487 | ||||||||
\(836\) | −18.3190 | − | 4.58212i | −0.633574 | − | 0.158476i | ||||
\(837\) | −32.6420 | −1.12827 | ||||||||
\(838\) | −10.8391 | + | 33.4720i | −0.374430 | + | 1.15627i | ||||
\(839\) | −23.8130 | + | 41.2454i | −0.822117 | + | 1.42395i | 0.0819853 | + | 0.996634i | \(0.473874\pi\) |
−0.904103 | + | 0.427315i | \(0.859459\pi\) | |||||||
\(840\) | −13.5087 | − | 5.96643i | −0.466094 | − | 0.205862i | ||||
\(841\) | 35.3996 | − | 61.3138i | 1.22067 | − | 2.11427i | ||||
\(842\) | −6.92362 | − | 7.67416i | −0.238604 | − | 0.264469i | ||||
\(843\) | 24.5298i | 0.844850i | ||||||||
\(844\) | 17.6082 | − | 7.88151i | 0.606101 | − | 0.271293i | ||||
\(845\) | −3.91296 | − | 6.77744i | −0.134610 | − | 0.233151i | ||||
\(846\) | 1.93881 | + | 2.14899i | 0.0666577 | + | 0.0738836i | ||||
\(847\) | − | 23.9725i | − | 0.823706i | ||||||
\(848\) | −18.6600 | − | 16.6682i | −0.640788 | − | 0.572389i | ||||
\(849\) | 27.2780 | − | 15.7490i | 0.936180 | − | 0.540504i | ||||
\(850\) | 23.0079 | + | 7.45054i | 0.789164 | + | 0.255551i | ||||
\(851\) | −3.70625 | − | 6.41941i | −0.127049 | − | 0.220055i | ||||
\(852\) | 2.09893 | − | 20.3576i | 0.0719080 | − | 0.697441i | ||||
\(853\) | −20.1609 | + | 34.9197i | −0.690295 | + | 1.19563i | 0.281446 | + | 0.959577i | \(0.409186\pi\) |
−0.971741 | + | 0.236049i | \(0.924147\pi\) | |||||||
\(854\) | 9.99721 | − | 2.13532i | 0.342097 | − | 0.0730692i | ||||
\(855\) | 0.975386 | + | 2.43331i | 0.0333575 | + | 0.0832173i | ||||
\(856\) | −18.0305 | − | 24.6624i | −0.616268 | − | 0.842944i | ||||
\(857\) | −8.37577 | − | 4.83575i | −0.286111 | − | 0.165186i | 0.350076 | − | 0.936721i | \(-0.386156\pi\) |
−0.636187 | + | 0.771535i | \(0.719489\pi\) | |||||||
\(858\) | −7.70057 | − | 2.49364i | −0.262893 | − | 0.0851314i | ||||
\(859\) | −15.2682 | + | 8.81511i | −0.520945 | + | 0.300768i | −0.737321 | − | 0.675542i | \(-0.763910\pi\) |
0.216376 | + | 0.976310i | \(0.430576\pi\) | |||||||
\(860\) | 8.59753 | + | 0.886427i | 0.293173 | + | 0.0302269i | ||||
\(861\) | 32.6792 | + | 56.6021i | 1.11371 | + | 1.92899i | ||||
\(862\) | −10.8820 | − | 50.9478i | −0.370643 | − | 1.73529i | ||||
\(863\) | −8.15311 | −0.277535 | −0.138768 | − | 0.990325i | \(-0.544314\pi\) | ||||
−0.138768 | + | 0.990325i | \(0.544314\pi\) | |||||||
\(864\) | −0.117739 | − | 23.7833i | −0.00400557 | − | 0.809123i | ||||
\(865\) | 2.82938 | − | 1.63354i | 0.0962018 | − | 0.0555421i | ||||
\(866\) | −33.1525 | + | 7.08109i | −1.12657 | + | 0.240625i | ||||
\(867\) | 5.16513 | 0.175417 | ||||||||
\(868\) | −34.5899 | + | 47.8078i | −1.17406 | + | 1.62270i | ||||
\(869\) | −12.7081 | − | 7.33702i | −0.431092 | − | 0.248891i | ||||
\(870\) | −13.0023 | − | 14.4118i | −0.440819 | − | 0.488606i | ||||
\(871\) | 6.27321 | + | 3.62184i | 0.212560 | + | 0.122721i | ||||
\(872\) | 1.38067 | + | 12.7712i | 0.0467554 | + | 0.432487i | ||||
\(873\) | 9.03969i | 0.305947i | ||||||||
\(874\) | 19.4189 | + | 28.8983i | 0.656853 | + | 0.977499i | ||||
\(875\) | 25.2753i | 0.854460i | ||||||||
\(876\) | 3.91783 | − | 37.9993i | 0.132371 | − | 1.28388i | ||||
\(877\) | −20.6058 | − | 11.8968i | −0.695808 | − | 0.401725i | 0.109976 | − | 0.993934i | \(-0.464923\pi\) |
−0.805784 | + | 0.592209i | \(0.798256\pi\) | |||||||
\(878\) | −16.2470 | + | 14.6580i | −0.548308 | + | 0.494683i | ||||
\(879\) | −13.2481 | − | 7.64877i | −0.446846 | − | 0.257987i | ||||
\(880\) | 1.23622 | − | 5.93139i | 0.0416731 | − | 0.199947i | ||||
\(881\) | −53.8704 | −1.81494 | −0.907470 | − | 0.420117i | \(-0.861989\pi\) | ||||
−0.907470 | + | 0.420117i | \(0.861989\pi\) | |||||||
\(882\) | −1.89065 | − | 8.85172i | −0.0636616 | − | 0.298053i | ||||
\(883\) | 29.9201 | − | 17.2744i | 1.00689 | − | 0.581330i | 0.0966126 | − | 0.995322i | \(-0.469199\pi\) |
0.910281 | + | 0.413992i | \(0.135866\pi\) | |||||||
\(884\) | −5.97724 | + | 8.26132i | −0.201036 | + | 0.277858i | ||||
\(885\) | 9.02318 | 0.303311 | ||||||||
\(886\) | −39.2902 | + | 8.39205i | −1.31998 | + | 0.281936i | ||||
\(887\) | 6.13740 | + | 10.6303i | 0.206074 | + | 0.356930i | 0.950474 | − | 0.310803i | \(-0.100598\pi\) |
−0.744401 | + | 0.667733i | \(0.767265\pi\) | |||||||
\(888\) | −0.783872 | − | 7.25081i | −0.0263050 | − | 0.243321i | ||||
\(889\) | 12.6118 | − | 7.28141i | 0.422985 | − | 0.244211i | ||||
\(890\) | −0.504485 | + | 1.55789i | −0.0169104 | + | 0.0522207i | ||||
\(891\) | 20.3353 | + | 11.7406i | 0.681257 | + | 0.393324i | ||||
\(892\) | 24.0271 | − | 10.7546i | 0.804486 | − | 0.360091i | ||||
\(893\) | 8.15629 | + | 6.40840i | 0.272940 | + | 0.214449i | ||||
\(894\) | 7.88323 | + | 36.9080i | 0.263655 | + | 1.23439i | ||||
\(895\) | −2.86333 | + | 4.95944i | −0.0957107 | + | 0.165776i | ||||
\(896\) | −34.9579 | − | 25.0301i | −1.16786 | − | 0.836196i | ||||
\(897\) | 7.46201 | + | 12.9246i | 0.249149 | + | 0.431539i | ||||
\(898\) | −11.0319 | + | 34.0673i | −0.368138 | + | 1.13684i | ||||
\(899\) | −67.1691 | + | 38.7801i | −2.24022 | + | 1.29339i | ||||
\(900\) | 7.08217 | − | 3.17000i | 0.236072 | − | 0.105667i | ||||
\(901\) | − | 23.7127i | − | 0.789983i | ||||||
\(902\) | −19.9098 | + | 17.9626i | −0.662924 | + | 0.598089i | ||||
\(903\) | 23.0706 | + | 39.9595i | 0.767742 | + | 1.32977i | ||||
\(904\) | 7.33847 | − | 5.36509i | 0.244074 | − | 0.178440i | ||||
\(905\) | − | 13.3726i | − | 0.444522i | ||||||
\(906\) | 35.4603 | − | 31.9922i | 1.17809 | − | 1.06287i | ||||
\(907\) | −14.4257 | + | 24.9861i | −0.478998 | + | 0.829648i | −0.999710 | − | 0.0240838i | \(-0.992333\pi\) |
0.520712 | + | 0.853732i | \(0.325666\pi\) | |||||||
\(908\) | −18.3053 | − | 13.2443i | −0.607482 | − | 0.439527i | ||||
\(909\) | 2.95962 | − | 5.12622i | 0.0981645 | − | 0.170026i | ||||
\(910\) | −4.80867 | − | 1.55717i | −0.159406 | − | 0.0516196i | ||||
\(911\) | 23.9231 | 0.792608 | 0.396304 | − | 0.918119i | \(-0.370293\pi\) | ||||
0.396304 | + | 0.918119i | \(0.370293\pi\) | |||||||
\(912\) | 5.98977 | + | 33.7279i | 0.198341 | + | 1.11684i | ||||
\(913\) | −3.36864 | −0.111486 | ||||||||
\(914\) | 24.9052 | + | 8.06495i | 0.823792 | + | 0.266765i | ||||
\(915\) | 1.30666 | − | 2.26321i | 0.0431969 | − | 0.0748193i | ||||
\(916\) | 32.0265 | + | 23.1719i | 1.05819 | + | 0.765620i | ||||
\(917\) | −20.0962 | + | 34.8076i | −0.663635 | + | 1.14945i | ||||
\(918\) | 16.7358 | − | 15.0990i | 0.552364 | − | 0.498342i | ||||
\(919\) | 35.0803i | 1.15719i | 0.815614 | + | 0.578597i | \(0.196399\pi\) | ||||
−0.815614 | + | 0.578597i | \(0.803601\pi\) | |||||||
\(920\) | −9.01813 | + | 6.59307i | −0.297319 | + | 0.217367i | ||||
\(921\) | 2.24258 | + | 3.88426i | 0.0738954 | + | 0.127991i | ||||
\(922\) | 16.6636 | − | 15.0339i | 0.548788 | − | 0.495116i | ||||
\(923\) | − | 7.00474i | − | 0.230564i | ||||||
\(924\) | 29.5227 | − | 13.2144i | 0.971224 | − | 0.434723i | ||||
\(925\) | −5.12710 | + | 2.96013i | −0.168578 | + | 0.0973285i | ||||
\(926\) | −3.27614 | + | 10.1170i | −0.107661 | + | 0.332466i | ||||
\(927\) | 3.88755 | + | 6.73343i | 0.127684 | + | 0.221155i | ||||
\(928\) | −28.4978 | − | 48.8001i | −0.935485 | − | 1.60194i | ||||
\(929\) | 15.2213 | − | 26.3640i | 0.499394 | − | 0.864975i | −0.500606 | − | 0.865675i | \(-0.666889\pi\) |
1.00000 | 0.000699807i | \(0.000222755\pi\) | ||||||||
\(930\) | 3.15095 | + | 14.7522i | 0.103324 | + | 0.483744i | ||||
\(931\) | −12.0693 | − | 30.1094i | −0.395556 | − | 0.986797i | ||||
\(932\) | 6.12502 | − | 2.74158i | 0.200632 | − | 0.0898034i | ||||
\(933\) | −18.0462 | − | 10.4190i | −0.590805 | − | 0.341101i | ||||
\(934\) | −2.16839 | + | 6.69618i | −0.0709520 | + | 0.219106i | ||||
\(935\) | 4.97284 | − | 2.87107i | 0.162629 | − | 0.0938940i | ||||
\(936\) | 0.351636 | + | 3.25263i | 0.0114936 | + | 0.106315i | ||||
\(937\) | −6.14707 | − | 10.6470i | −0.200816 | − | 0.347823i | 0.747976 | − | 0.663726i | \(-0.231026\pi\) |
−0.948792 | + | 0.315903i | \(0.897693\pi\) | |||||||
\(938\) | −28.3077 | + | 6.04628i | −0.924279 | + | 0.197418i | ||||
\(939\) | −66.6424 | −2.17479 | ||||||||
\(940\) | −1.95090 | + | 2.69640i | −0.0636314 | + | 0.0879468i | ||||
\(941\) | −3.12519 | + | 1.80433i | −0.101878 | + | 0.0588195i | −0.550073 | − | 0.835116i | \(-0.685400\pi\) |
0.448195 | + | 0.893936i | \(0.352067\pi\) | |||||||
\(942\) | 0.726843 | + | 3.40296i | 0.0236818 | + | 0.110874i | ||||
\(943\) | 49.4413 | 1.61003 | ||||||||
\(944\) | 25.7177 | + | 5.36010i | 0.837040 | + | 0.174456i | ||||
\(945\) | 9.67614 | + | 5.58652i | 0.314765 | + | 0.181730i | ||||
\(946\) | −14.0558 | + | 12.6811i | −0.456992 | + | 0.412298i | ||||
\(947\) | −18.8346 | − | 10.8741i | −0.612041 | − | 0.353362i | 0.161723 | − | 0.986836i | \(-0.448295\pi\) |
−0.773764 | + | 0.633474i | \(0.781628\pi\) | |||||||
\(948\) | −2.73009 | + | 26.4794i | −0.0886692 | + | 0.860010i | ||||
\(949\) | − | 13.0750i | − | 0.424431i | ||||||
\(950\) | 23.0807 | − | 15.5096i | 0.748836 | − | 0.503197i | ||||
\(951\) | 43.5760i | 1.41305i | ||||||||
\(952\) | −4.37962 | − | 40.5114i | −0.141944 | − | 1.31298i | ||||
\(953\) | −27.5169 | − | 15.8869i | −0.891360 | − | 0.514627i | −0.0169728 | − | 0.999856i | \(-0.505403\pi\) |
−0.874387 | + | 0.485229i | \(0.838736\pi\) | |||||||
\(954\) | −5.09633 | − | 5.64879i | −0.165000 | − | 0.182886i | ||||
\(955\) | −13.9227 | − | 8.03825i | −0.450527 | − | 0.260112i | ||||
\(956\) | −4.26243 | + | 5.89122i | −0.137857 | + | 0.190536i | ||||
\(957\) | 42.5139 | 1.37428 | ||||||||
\(958\) | 40.4779 | − | 8.64574i | 1.30778 | − | 0.279331i | ||||
\(959\) | −36.3914 | + | 21.0106i | −1.17514 | + | 0.678468i | ||||
\(960\) | −10.7372 | + | 2.34902i | −0.346542 | + | 0.0758143i | ||||
\(961\) | 29.2769 | 0.944417 | ||||||||
\(962\) | −0.521405 | − | 2.44113i | −0.0168108 | − | 0.0787052i | ||||
\(963\) | −4.64474 | − | 8.04492i | −0.149675 | − | 0.259244i | ||||
\(964\) | 47.1537 | + | 4.86167i | 1.51872 | + | 0.156584i | ||||
\(965\) | 3.56956 | − | 2.06089i | 0.114908 | − | 0.0663423i | ||||
\(966\) | −56.7367 | − | 18.3728i | −1.82547 | − | 0.591135i | ||||
\(967\) | 17.6469 | + | 10.1885i | 0.567487 | + | 0.327638i | 0.756145 | − | 0.654404i | \(-0.227081\pi\) |
−0.188658 | + | 0.982043i | \(0.560414\pi\) | |||||||
\(968\) | −10.5302 | − | 14.4034i | −0.338453 | − | 0.462943i | ||||
\(969\) | −20.0574 | + | 25.5281i | −0.644337 | + | 0.820080i | ||||
\(970\) | −10.1653 | + | 2.17123i | −0.326389 | + | 0.0697140i | ||||
\(971\) | 14.3862 | − | 24.9176i | 0.461675 | − | 0.799645i | −0.537369 | − | 0.843347i | \(-0.680582\pi\) |
0.999045 | + | 0.0437018i | \(0.0139151\pi\) | |||||||
\(972\) | 1.78146 | − | 17.2786i | 0.0571405 | − | 0.554210i | ||||
\(973\) | −6.81508 | − | 11.8041i | −0.218482 | − | 0.378421i | ||||
\(974\) | −28.5293 | − | 9.23850i | −0.914136 | − | 0.296021i | ||||
\(975\) | 10.3227 | − | 5.95981i | 0.330591 | − | 0.190867i | ||||
\(976\) | 5.06865 | − | 5.67434i | 0.162244 | − | 0.181631i | ||||
\(977\) | 19.3062i | 0.617659i | 0.951117 | + | 0.308830i | \(0.0999373\pi\) | ||||
−0.951117 | + | 0.308830i | \(0.900063\pi\) | |||||||
\(978\) | −45.7864 | − | 50.7498i | −1.46409 | − | 1.62280i | ||||
\(979\) | −1.79333 | − | 3.10614i | −0.0573151 | − | 0.0992727i | ||||
\(980\) | 9.49984 | − | 4.25216i | 0.303461 | − | 0.135830i | ||||
\(981\) | 3.90596i | 0.124708i | ||||||||
\(982\) | −1.31710 | − | 1.45988i | −0.0420305 | − | 0.0465867i | ||||
\(983\) | −13.8447 | + | 23.9798i | −0.441579 | + | 0.764837i | −0.997807 | − | 0.0661930i | \(-0.978915\pi\) |
0.556228 | + | 0.831030i | \(0.312248\pi\) | |||||||
\(984\) | 44.4977 | + | 19.6535i | 1.41853 | + | 0.626530i | ||||
\(985\) | −0.878137 | + | 1.52098i | −0.0279798 | + | 0.0484624i | ||||
\(986\) | 16.4998 | − | 50.9528i | 0.525461 | − | 1.62267i | ||||
\(987\) | −17.7673 | −0.565540 | ||||||||
\(988\) | 3.22325 | + | 11.2729i | 0.102545 | + | 0.358639i | ||||
\(989\) | 34.9042 | 1.10989 | ||||||||
\(990\) | 0.567570 | − | 1.75270i | 0.0180386 | − | 0.0557046i | ||||
\(991\) | 17.8678 | − | 30.9479i | 0.567588 | − | 0.983092i | −0.429215 | − | 0.903202i | \(-0.641210\pi\) |
0.996804 | − | 0.0798896i | \(-0.0254568\pi\) | |||||||
\(992\) | 0.217418 | + | 43.9183i | 0.00690303 | + | 1.39441i | ||||
\(993\) | −19.9785 | + | 34.6037i | −0.633998 | + | 1.09812i | ||||
\(994\) | 18.7505 | + | 20.7831i | 0.594729 | + | 0.659200i | ||||
\(995\) | 18.1125i | 0.574206i | ||||||||
\(996\) | 2.49659 | + | 5.57769i | 0.0791076 | + | 0.176736i | ||||
\(997\) | −9.82026 | − | 17.0092i | −0.311011 | − | 0.538687i | 0.667571 | − | 0.744546i | \(-0.267334\pi\) |
−0.978581 | + | 0.205860i | \(0.934001\pi\) | |||||||
\(998\) | 6.97967 | + | 7.73629i | 0.220937 | + | 0.244888i | ||||
\(999\) | 5.51786i | 0.174577i |
(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 | 76.2.f.a.27.1 | ✓ | 16 | |
3.2 | odd | 2 | 684.2.r.a.559.8 | 16 | |||
4.3 | odd | 2 | inner | 76.2.f.a.27.3 | yes | 16 | |
8.3 | odd | 2 | 1216.2.n.f.255.7 | 16 | |||
8.5 | even | 2 | 1216.2.n.f.255.2 | 16 | |||
12.11 | even | 2 | 684.2.r.a.559.6 | 16 | |||
19.12 | odd | 6 | inner | 76.2.f.a.31.3 | yes | 16 | |
57.50 | even | 6 | 684.2.r.a.487.6 | 16 | |||
76.31 | even | 6 | inner | 76.2.f.a.31.1 | yes | 16 | |
152.69 | odd | 6 | 1216.2.n.f.639.7 | 16 | |||
152.107 | even | 6 | 1216.2.n.f.639.2 | 16 | |||
228.107 | odd | 6 | 684.2.r.a.487.8 | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
76.2.f.a.27.1 | ✓ | 16 | 1.1 | even | 1 | trivial | |
76.2.f.a.27.3 | yes | 16 | 4.3 | odd | 2 | inner | |
76.2.f.a.31.1 | yes | 16 | 76.31 | even | 6 | inner | |
76.2.f.a.31.3 | yes | 16 | 19.12 | odd | 6 | inner | |
684.2.r.a.487.6 | 16 | 57.50 | even | 6 | |||
684.2.r.a.487.8 | 16 | 228.107 | odd | 6 | |||
684.2.r.a.559.6 | 16 | 12.11 | even | 2 | |||
684.2.r.a.559.8 | 16 | 3.2 | odd | 2 | |||
1216.2.n.f.255.2 | 16 | 8.5 | even | 2 | |||
1216.2.n.f.255.7 | 16 | 8.3 | odd | 2 | |||
1216.2.n.f.639.2 | 16 | 152.107 | even | 6 | |||
1216.2.n.f.639.7 | 16 | 152.69 | odd | 6 |