Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [91,2,Mod(6,91)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(91, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("91.6");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 91 = 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 91.bc (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.726638658394\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 6.5 | ||
Character | \(\chi\) | \(=\) | 91.6 |
Dual form | 91.2.bc.a.76.5 |
$q$-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 \(\left(\mathbb{Z}/91\mathbb{Z}\right)^\times\).
\(n\) | \(15\) | \(66\) |
\(\chi(n)\) | \(e\left(\frac{5}{12}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.218036 | + | 0.813723i | 0.154175 | + | 0.575389i | 0.999175 | + | 0.0406221i | \(0.0129340\pi\) |
−0.845000 | + | 0.534767i | \(0.820399\pi\) | |||||||
\(3\) | −1.24122 | − | 0.716618i | −0.716618 | − | 0.413740i | 0.0968883 | − | 0.995295i | \(-0.469111\pi\) |
−0.813507 | + | 0.581555i | \(0.802444\pi\) | |||||||
\(4\) | 1.11745 | − | 0.645157i | 0.558723 | − | 0.322579i | ||||
\(5\) | 1.01306 | + | 1.01306i | 0.453054 | + | 0.453054i | 0.896367 | − | 0.443313i | \(-0.146197\pi\) |
−0.443313 | + | 0.896367i | \(0.646197\pi\) | |||||||
\(6\) | 0.312498 | − | 1.16626i | 0.127577 | − | 0.476123i | ||||
\(7\) | 2.43848 | + | 1.02656i | 0.921658 | + | 0.388002i | ||||
\(8\) | 1.96000 | + | 1.96000i | 0.692963 | + | 0.692963i | ||||
\(9\) | −0.472916 | − | 0.819114i | −0.157639 | − | 0.273038i | ||||
\(10\) | −0.603466 | + | 1.04523i | −0.190833 | + | 0.330532i | ||||
\(11\) | −4.68859 | + | 1.25630i | −1.41366 | + | 0.378790i | −0.883231 | − | 0.468938i | \(-0.844637\pi\) |
−0.530431 | + | 0.847728i | \(0.677970\pi\) | |||||||
\(12\) | −1.84933 | −0.533855 | ||||||||
\(13\) | −1.04975 | − | 3.44935i | −0.291147 | − | 0.956678i | ||||
\(14\) | −0.303657 | + | 2.20807i | −0.0811556 | + | 0.590133i | ||||
\(15\) | −0.531452 | − | 1.98341i | −0.137220 | − | 0.512113i | ||||
\(16\) | 0.122771 | − | 0.212645i | 0.0306927 | − | 0.0531613i | ||||
\(17\) | −1.49151 | − | 2.58338i | −0.361745 | − | 0.626561i | 0.626503 | − | 0.779419i | \(-0.284486\pi\) |
−0.988248 | + | 0.152858i | \(0.951152\pi\) | |||||||
\(18\) | 0.563419 | − | 0.563419i | 0.132799 | − | 0.132799i | ||||
\(19\) | −1.62522 | + | 6.06542i | −0.372852 | + | 1.39150i | 0.483606 | + | 0.875286i | \(0.339327\pi\) |
−0.856458 | + | 0.516217i | \(0.827340\pi\) | |||||||
\(20\) | 1.78562 | + | 0.478455i | 0.399277 | + | 0.106986i | ||||
\(21\) | −2.29104 | − | 3.02164i | −0.499945 | − | 0.659377i | ||||
\(22\) | −2.04457 | − | 3.54129i | −0.435903 | − | 0.755006i | ||||
\(23\) | −1.02242 | − | 0.590296i | −0.213190 | − | 0.123085i | 0.389603 | − | 0.920983i | \(-0.372612\pi\) |
−0.602793 | + | 0.797898i | \(0.705945\pi\) | |||||||
\(24\) | −1.02822 | − | 3.83736i | −0.209884 | − | 0.783297i | ||||
\(25\) | − | 2.94742i | − | 0.589485i | ||||||
\(26\) | 2.57793 | − | 1.60629i | 0.505575 | − | 0.315019i | ||||
\(27\) | 5.65531i | 1.08837i | ||||||||
\(28\) | 3.38716 | − | 0.426080i | 0.640113 | − | 0.0805216i | ||||
\(29\) | −2.77911 | + | 4.81356i | −0.516068 | + | 0.893856i | 0.483758 | + | 0.875202i | \(0.339271\pi\) |
−0.999826 | + | 0.0186541i | \(0.994062\pi\) | |||||||
\(30\) | 1.49807 | − | 0.864909i | 0.273508 | − | 0.157910i | ||||
\(31\) | −4.79337 | − | 4.79337i | −0.860914 | − | 0.860914i | 0.130530 | − | 0.991444i | \(-0.458332\pi\) |
−0.991444 | + | 0.130530i | \(0.958332\pi\) | |||||||
\(32\) | 5.55461 | + | 1.48835i | 0.981926 | + | 0.263106i | ||||
\(33\) | 6.71986 | + | 1.80058i | 1.16978 | + | 0.313441i | ||||
\(34\) | 1.77695 | − | 1.77695i | 0.304744 | − | 0.304744i | ||||
\(35\) | 1.43036 | + | 3.51029i | 0.241775 | + | 0.593347i | ||||
\(36\) | −1.05692 | − | 0.610210i | −0.176153 | − | 0.101702i | ||||
\(37\) | 5.40165 | − | 1.44737i | 0.888027 | − | 0.237946i | 0.214160 | − | 0.976799i | \(-0.431299\pi\) |
0.673867 | + | 0.738853i | \(0.264632\pi\) | |||||||
\(38\) | −5.28993 | −0.858140 | ||||||||
\(39\) | −1.16890 | + | 5.03367i | −0.187174 | + | 0.806033i | ||||
\(40\) | 3.97118i | 0.627899i | ||||||||
\(41\) | −4.71621 | + | 1.26371i | −0.736549 | + | 0.197358i | −0.607544 | − | 0.794286i | \(-0.707845\pi\) |
−0.129005 | + | 0.991644i | \(0.541178\pi\) | |||||||
\(42\) | 1.95925 | − | 2.52310i | 0.302319 | − | 0.389323i | ||||
\(43\) | −2.90941 | + | 1.67975i | −0.443681 | + | 0.256159i | −0.705158 | − | 0.709050i | \(-0.749124\pi\) |
0.261477 | + | 0.965210i | \(0.415790\pi\) | |||||||
\(44\) | −4.42873 | + | 4.42873i | −0.667656 | + | 0.667656i | ||||
\(45\) | 0.350719 | − | 1.30890i | 0.0522822 | − | 0.195120i | ||||
\(46\) | 0.257412 | − | 0.960674i | 0.0379533 | − | 0.141644i | ||||
\(47\) | 4.12822 | − | 4.12822i | 0.602163 | − | 0.602163i | −0.338723 | − | 0.940886i | \(-0.609995\pi\) |
0.940886 | + | 0.338723i | \(0.109995\pi\) | |||||||
\(48\) | −0.304771 | + | 0.175960i | −0.0439899 | + | 0.0253976i | ||||
\(49\) | 4.89236 | + | 5.00648i | 0.698908 | + | 0.715211i | ||||
\(50\) | 2.39839 | − | 0.642646i | 0.339183 | − | 0.0908839i | ||||
\(51\) | 4.27539i | 0.598674i | ||||||||
\(52\) | −3.39841 | − | 3.17721i | −0.471275 | − | 0.440600i | ||||
\(53\) | 5.79315 | 0.795751 | 0.397875 | − | 0.917439i | \(-0.369748\pi\) | ||||
0.397875 | + | 0.917439i | \(0.369748\pi\) | |||||||
\(54\) | −4.60186 | + | 1.23306i | −0.626234 | + | 0.167799i | ||||
\(55\) | −6.02252 | − | 3.47711i | −0.812077 | − | 0.468853i | ||||
\(56\) | 2.76736 | + | 6.79146i | 0.369804 | + | 0.907547i | ||||
\(57\) | 6.36385 | − | 6.36385i | 0.842913 | − | 0.842913i | ||||
\(58\) | −4.52285 | − | 1.21190i | −0.593880 | − | 0.159130i | ||||
\(59\) | 10.7576 | + | 2.88250i | 1.40053 | + | 0.375270i | 0.878534 | − | 0.477681i | \(-0.158522\pi\) |
0.521992 | + | 0.852950i | \(0.325189\pi\) | |||||||
\(60\) | −1.87348 | − | 1.87348i | −0.241865 | − | 0.241865i | ||||
\(61\) | 7.95118 | − | 4.59062i | 1.01804 | − | 0.587768i | 0.104508 | − | 0.994524i | \(-0.466673\pi\) |
0.913537 | + | 0.406756i | \(0.133340\pi\) | |||||||
\(62\) | 2.85534 | − | 4.94560i | 0.362629 | − | 0.628092i | ||||
\(63\) | −0.312327 | − | 2.48287i | −0.0393495 | − | 0.312812i | ||||
\(64\) | 4.35335i | 0.544169i | ||||||||
\(65\) | 2.43094 | − | 4.55785i | 0.301521 | − | 0.565332i | ||||
\(66\) | 5.86070i | 0.721402i | ||||||||
\(67\) | −0.508485 | − | 1.89769i | −0.0621214 | − | 0.231840i | 0.927884 | − | 0.372869i | \(-0.121626\pi\) |
−0.990006 | + | 0.141028i | \(0.954959\pi\) | |||||||
\(68\) | −3.33337 | − | 1.92452i | −0.404231 | − | 0.233383i | ||||
\(69\) | 0.846033 | + | 1.46537i | 0.101850 | + | 0.176410i | ||||
\(70\) | −2.54453 | + | 1.92929i | −0.304130 | + | 0.230594i | ||||
\(71\) | −3.19094 | − | 0.855010i | −0.378695 | − | 0.101471i | 0.0644501 | − | 0.997921i | \(-0.479471\pi\) |
−0.443145 | + | 0.896450i | \(0.646137\pi\) | |||||||
\(72\) | 0.678548 | − | 2.53237i | 0.0799676 | − | 0.298443i | ||||
\(73\) | 0.353010 | − | 0.353010i | 0.0413167 | − | 0.0413167i | −0.686147 | − | 0.727463i | \(-0.740699\pi\) |
0.727463 | + | 0.686147i | \(0.240699\pi\) | |||||||
\(74\) | 2.35552 | + | 4.07987i | 0.273823 | + | 0.474275i | ||||
\(75\) | −2.11218 | + | 3.65840i | −0.243893 | + | 0.422436i | ||||
\(76\) | 2.09705 | + | 7.82630i | 0.240548 | + | 0.897738i | ||||
\(77\) | −12.7227 | − | 1.74964i | −1.44989 | − | 0.199390i | ||||
\(78\) | −4.35088 | + | 0.146360i | −0.492640 | + | 0.0165720i | ||||
\(79\) | −6.95423 | −0.782412 | −0.391206 | − | 0.920303i | \(-0.627942\pi\) | ||||
−0.391206 | + | 0.920303i | \(0.627942\pi\) | |||||||
\(80\) | 0.339796 | − | 0.0910481i | 0.0379904 | − | 0.0101795i | ||||
\(81\) | 2.63395 | − | 4.56214i | 0.292662 | − | 0.506905i | ||||
\(82\) | −2.05661 | − | 3.56216i | −0.227115 | − | 0.393374i | ||||
\(83\) | −3.22886 | − | 3.22886i | −0.354413 | − | 0.354413i | 0.507335 | − | 0.861749i | \(-0.330631\pi\) |
−0.861749 | + | 0.507335i | \(0.830631\pi\) | |||||||
\(84\) | −4.50954 | − | 1.89844i | −0.492032 | − | 0.207137i | ||||
\(85\) | 1.10612 | − | 4.12811i | 0.119976 | − | 0.447756i | ||||
\(86\) | −2.00121 | − | 2.00121i | −0.215796 | − | 0.215796i | ||||
\(87\) | 6.89897 | − | 3.98312i | 0.739648 | − | 0.427036i | ||||
\(88\) | −11.6520 | − | 6.72727i | −1.24210 | − | 0.717129i | ||||
\(89\) | 0.0636346 | + | 0.237487i | 0.00674525 | + | 0.0251736i | 0.969216 | − | 0.246210i | \(-0.0791854\pi\) |
−0.962471 | + | 0.271384i | \(0.912519\pi\) | |||||||
\(90\) | 1.14155 | 0.120330 | ||||||||
\(91\) | 0.981174 | − | 9.48880i | 0.102855 | − | 0.994696i | ||||
\(92\) | −1.52333 | −0.158819 | ||||||||
\(93\) | 2.51461 | + | 9.38464i | 0.260752 | + | 0.973141i | ||||
\(94\) | 4.25933 | + | 2.45913i | 0.439316 | + | 0.253639i | ||||
\(95\) | −7.79107 | + | 4.49818i | −0.799347 | + | 0.461503i | ||||
\(96\) | −5.82791 | − | 5.82791i | −0.594809 | − | 0.594809i | ||||
\(97\) | −2.43374 | + | 9.08284i | −0.247109 | + | 0.922223i | 0.725203 | + | 0.688535i | \(0.241746\pi\) |
−0.972312 | + | 0.233688i | \(0.924921\pi\) | |||||||
\(98\) | −3.00718 | + | 5.07262i | −0.303771 | + | 0.512412i | ||||
\(99\) | 3.24636 | + | 3.24636i | 0.326272 | + | 0.326272i | ||||
\(100\) | −1.90155 | − | 3.29359i | −0.190155 | − | 0.329359i | ||||
\(101\) | −7.14344 | + | 12.3728i | −0.710799 | + | 1.23114i | 0.253759 | + | 0.967267i | \(0.418333\pi\) |
−0.964558 | + | 0.263872i | \(0.915000\pi\) | |||||||
\(102\) | −3.47898 | + | 0.932190i | −0.344470 | + | 0.0923006i | ||||
\(103\) | 7.45130 | 0.734198 | 0.367099 | − | 0.930182i | \(-0.380351\pi\) | ||||
0.367099 | + | 0.930182i | \(0.380351\pi\) | |||||||
\(104\) | 4.70322 | − | 8.81822i | 0.461189 | − | 0.864698i | ||||
\(105\) | 0.740146 | − | 5.38206i | 0.0722309 | − | 0.525235i | ||||
\(106\) | 1.26312 | + | 4.71402i | 0.122685 | + | 0.457866i | ||||
\(107\) | 2.34132 | − | 4.05528i | 0.226344 | − | 0.392039i | −0.730378 | − | 0.683043i | \(-0.760656\pi\) |
0.956722 | + | 0.291004i | \(0.0939894\pi\) | |||||||
\(108\) | 3.64857 | + | 6.31950i | 0.351083 | + | 0.608094i | ||||
\(109\) | −3.04192 | + | 3.04192i | −0.291363 | + | 0.291363i | −0.837619 | − | 0.546256i | \(-0.816053\pi\) |
0.546256 | + | 0.837619i | \(0.316053\pi\) | |||||||
\(110\) | 1.51627 | − | 5.65880i | 0.144571 | − | 0.539546i | ||||
\(111\) | −7.74185 | − | 2.07442i | −0.734824 | − | 0.196895i | ||||
\(112\) | 0.517667 | − | 0.392500i | 0.0489149 | − | 0.0370877i | ||||
\(113\) | 2.02372 | + | 3.50518i | 0.190375 | + | 0.329740i | 0.945375 | − | 0.325986i | \(-0.105696\pi\) |
−0.754999 | + | 0.655725i | \(0.772363\pi\) | |||||||
\(114\) | 6.56597 | + | 3.79086i | 0.614959 | + | 0.355047i | ||||
\(115\) | −0.437769 | − | 1.63378i | −0.0408222 | − | 0.152351i | ||||
\(116\) | 7.17186i | 0.665890i | ||||||||
\(117\) | −2.32897 | + | 2.49112i | −0.215314 | + | 0.230304i | ||||
\(118\) | 9.38223i | 0.863705i | ||||||||
\(119\) | −0.985039 | − | 7.83064i | −0.0902983 | − | 0.717834i | ||||
\(120\) | 2.84582 | − | 4.92911i | 0.259787 | − | 0.449964i | ||||
\(121\) | 10.8783 | − | 6.28058i | 0.988935 | − | 0.570962i | ||||
\(122\) | 5.46914 | + | 5.46914i | 0.495153 | + | 0.495153i | ||||
\(123\) | 6.75945 | + | 1.81119i | 0.609479 | + | 0.163309i | ||||
\(124\) | −8.44880 | − | 2.26385i | −0.758725 | − | 0.203300i | ||||
\(125\) | 8.05121 | − | 8.05121i | 0.720122 | − | 0.720122i | ||||
\(126\) | 1.95227 | − | 0.795504i | 0.173922 | − | 0.0708691i | ||||
\(127\) | 10.6871 | + | 6.17021i | 0.948328 | + | 0.547518i | 0.892561 | − | 0.450926i | \(-0.148906\pi\) |
0.0557671 | + | 0.998444i | \(0.482240\pi\) | |||||||
\(128\) | 7.56681 | − | 2.02752i | 0.668817 | − | 0.179209i | ||||
\(129\) | 4.81496 | 0.423933 | ||||||||
\(130\) | 4.23886 | + | 0.984335i | 0.371773 | + | 0.0863319i | ||||
\(131\) | − | 6.71360i | − | 0.586570i | −0.956025 | − | 0.293285i | \(-0.905251\pi\) | ||
0.956025 | − | 0.293285i | \(-0.0947485\pi\) | |||||||
\(132\) | 8.67073 | − | 2.32332i | 0.754690 | − | 0.202219i | ||||
\(133\) | −10.1896 | + | 13.1220i | −0.883549 | + | 1.13782i | ||||
\(134\) | 1.43333 | − | 0.827533i | 0.123821 | − | 0.0714879i | ||||
\(135\) | −5.72916 | + | 5.72916i | −0.493088 | + | 0.493088i | ||||
\(136\) | 2.14005 | − | 7.98678i | 0.183508 | − | 0.684860i | ||||
\(137\) | 5.66652 | − | 21.1477i | 0.484124 | − | 1.80677i | −0.0998520 | − | 0.995002i | \(-0.531837\pi\) |
0.583976 | − | 0.811771i | \(-0.301496\pi\) | |||||||
\(138\) | −1.00794 | + | 1.00794i | −0.0858017 | + | 0.0858017i | ||||
\(139\) | −3.49682 | + | 2.01889i | −0.296597 | + | 0.171240i | −0.640913 | − | 0.767614i | \(-0.721444\pi\) |
0.344316 | + | 0.938854i | \(0.388111\pi\) | |||||||
\(140\) | 3.86303 | + | 2.99975i | 0.326486 | + | 0.253525i | ||||
\(141\) | −8.08239 | + | 2.16567i | −0.680660 | + | 0.182382i | ||||
\(142\) | − | 2.78296i | − | 0.233541i | ||||||
\(143\) | 9.25526 | + | 14.8538i | 0.773964 | + | 1.24214i | ||||
\(144\) | −0.232241 | −0.0193534 | ||||||||
\(145\) | −7.69182 | + | 2.06102i | −0.638771 | + | 0.171158i | ||||
\(146\) | 0.364221 | + | 0.210283i | 0.0301432 | + | 0.0174032i | ||||
\(147\) | −2.48476 | − | 9.72009i | −0.204939 | − | 0.801700i | ||||
\(148\) | 5.10227 | − | 5.10227i | 0.419404 | − | 0.419404i | ||||
\(149\) | −2.74006 | − | 0.734196i | −0.224474 | − | 0.0601477i | 0.144829 | − | 0.989457i | \(-0.453737\pi\) |
−0.369303 | + | 0.929309i | \(0.620404\pi\) | |||||||
\(150\) | −3.43746 | − | 0.921064i | −0.280667 | − | 0.0752045i | ||||
\(151\) | 11.8387 | + | 11.8387i | 0.963421 | + | 0.963421i | 0.999354 | − | 0.0359335i | \(-0.0114404\pi\) |
−0.0359335 | + | 0.999354i | \(0.511440\pi\) | |||||||
\(152\) | −15.0736 | + | 8.70277i | −1.22263 | + | 0.705888i | ||||
\(153\) | −1.41072 | + | 2.44344i | −0.114050 | + | 0.197541i | ||||
\(154\) | −1.35029 | − | 10.7342i | −0.108809 | − | 0.864989i | ||||
\(155\) | − | 9.71192i | − | 0.780080i | ||||||
\(156\) | 1.94132 | + | 6.37898i | 0.155430 | + | 0.510727i | ||||
\(157\) | − | 2.86867i | − | 0.228945i | −0.993426 | − | 0.114472i | \(-0.963482\pi\) | ||
0.993426 | − | 0.114472i | \(-0.0365177\pi\) | |||||||
\(158\) | −1.51628 | − | 5.65882i | −0.120628 | − | 0.450191i | ||||
\(159\) | −7.19058 | − | 4.15148i | −0.570250 | − | 0.329234i | ||||
\(160\) | 4.11936 | + | 7.13494i | 0.325664 | + | 0.564067i | ||||
\(161\) | −1.88718 | − | 2.48900i | −0.148731 | − | 0.196161i | ||||
\(162\) | 4.28662 | + | 1.14860i | 0.336789 | + | 0.0902422i | ||||
\(163\) | −6.23736 | + | 23.2781i | −0.488548 | + | 1.82328i | 0.0749773 | + | 0.997185i | \(0.476112\pi\) |
−0.563525 | + | 0.826099i | \(0.690555\pi\) | |||||||
\(164\) | −4.45482 | + | 4.45482i | −0.347863 | + | 0.347863i | ||||
\(165\) | 4.98352 | + | 8.63170i | 0.387966 | + | 0.671977i | ||||
\(166\) | 1.92339 | − | 3.33141i | 0.149284 | − | 0.258567i | ||||
\(167\) | 2.53997 | + | 9.47931i | 0.196549 | + | 0.733531i | 0.991860 | + | 0.127330i | \(0.0406408\pi\) |
−0.795311 | + | 0.606201i | \(0.792693\pi\) | |||||||
\(168\) | 1.43198 | − | 10.4128i | 0.110480 | − | 0.803368i | ||||
\(169\) | −10.7961 | + | 7.24189i | −0.830466 | + | 0.557069i | ||||
\(170\) | 3.60031 | 0.276131 | ||||||||
\(171\) | 5.73687 | − | 1.53719i | 0.438709 | − | 0.117552i | ||||
\(172\) | −2.16740 | + | 3.75405i | −0.165263 | + | 0.286244i | ||||
\(173\) | −2.61883 | − | 4.53595i | −0.199106 | − | 0.344862i | 0.749133 | − | 0.662420i | \(-0.230471\pi\) |
−0.948239 | + | 0.317558i | \(0.897137\pi\) | |||||||
\(174\) | 4.74539 | + | 4.74539i | 0.359747 | + | 0.359747i | ||||
\(175\) | 3.02570 | − | 7.18723i | 0.228721 | − | 0.543304i | ||||
\(176\) | −0.308475 | + | 1.15124i | −0.0232522 | + | 0.0867783i | ||||
\(177\) | −11.2869 | − | 11.2869i | −0.848379 | − | 0.848379i | ||||
\(178\) | −0.179374 | + | 0.103562i | −0.0134447 | + | 0.00776229i | ||||
\(179\) | −19.5491 | − | 11.2867i | −1.46117 | − | 0.843605i | −0.462101 | − | 0.886827i | \(-0.652904\pi\) |
−0.999065 | + | 0.0432226i | \(0.986238\pi\) | |||||||
\(180\) | −0.452538 | − | 1.68890i | −0.0337302 | − | 0.125883i | ||||
\(181\) | 22.4803 | 1.67095 | 0.835474 | − | 0.549530i | \(-0.185193\pi\) | ||||
0.835474 | + | 0.549530i | \(0.185193\pi\) | |||||||
\(182\) | 7.93519 | − | 1.27050i | 0.588195 | − | 0.0941757i | ||||
\(183\) | −13.1589 | −0.972733 | ||||||||
\(184\) | −0.846966 | − | 3.16092i | −0.0624392 | − | 0.233026i | ||||
\(185\) | 6.93846 | + | 4.00592i | 0.510126 | + | 0.294521i | ||||
\(186\) | −7.08822 | + | 4.09239i | −0.519733 | + | 0.300068i | ||||
\(187\) | 10.2386 | + | 10.2386i | 0.748721 | + | 0.748721i | ||||
\(188\) | 1.94971 | − | 7.27641i | 0.142197 | − | 0.530687i | ||||
\(189\) | −5.80550 | + | 13.7904i | −0.422288 | + | 1.00310i | ||||
\(190\) | −5.35901 | − | 5.35901i | −0.388783 | − | 0.388783i | ||||
\(191\) | −12.3354 | − | 21.3655i | −0.892557 | − | 1.54595i | −0.836800 | − | 0.547509i | \(-0.815576\pi\) |
−0.0557571 | − | 0.998444i | \(-0.517757\pi\) | |||||||
\(192\) | 3.11969 | − | 5.40346i | 0.225144 | − | 0.389961i | ||||
\(193\) | 3.32194 | − | 0.890112i | 0.239119 | − | 0.0640717i | −0.137269 | − | 0.990534i | \(-0.543833\pi\) |
0.376388 | + | 0.926462i | \(0.377166\pi\) | |||||||
\(194\) | −7.92156 | −0.568735 | ||||||||
\(195\) | −6.28357 | + | 3.91524i | −0.449976 | + | 0.280376i | ||||
\(196\) | 8.69691 | + | 2.43813i | 0.621208 | + | 0.174152i | ||||
\(197\) | −1.03338 | − | 3.85664i | −0.0736255 | − | 0.274774i | 0.919293 | − | 0.393575i | \(-0.128762\pi\) |
−0.992918 | + | 0.118801i | \(0.962095\pi\) | |||||||
\(198\) | −1.93382 | + | 3.34947i | −0.137430 | + | 0.238036i | ||||
\(199\) | 0.511550 | + | 0.886031i | 0.0362628 | + | 0.0628091i | 0.883587 | − | 0.468267i | \(-0.155121\pi\) |
−0.847324 | + | 0.531076i | \(0.821788\pi\) | |||||||
\(200\) | 5.77694 | − | 5.77694i | 0.408491 | − | 0.408491i | ||||
\(201\) | −0.728780 | + | 2.71984i | −0.0514042 | + | 0.191843i | ||||
\(202\) | −11.6256 | − | 3.11506i | −0.817972 | − | 0.219175i | ||||
\(203\) | −11.7182 | + | 8.88485i | −0.822457 | + | 0.623594i | ||||
\(204\) | 2.75830 | + | 4.77751i | 0.193119 | + | 0.334493i | ||||
\(205\) | −6.05801 | − | 3.49759i | −0.423110 | − | 0.244282i | ||||
\(206\) | 1.62465 | + | 6.06329i | 0.113195 | + | 0.422450i | ||||
\(207\) | 1.11664i | 0.0776119i | ||||||||
\(208\) | −0.862367 | − | 0.200256i | −0.0597944 | − | 0.0138853i | ||||
\(209\) | − | 30.4800i | − | 2.10835i | ||||||
\(210\) | 4.54088 | − | 0.571211i | 0.313351 | − | 0.0394173i | ||||
\(211\) | 2.70061 | − | 4.67759i | 0.185918 | − | 0.322019i | −0.757968 | − | 0.652292i | \(-0.773808\pi\) |
0.943885 | + | 0.330273i | \(0.107141\pi\) | |||||||
\(212\) | 6.47353 | − | 3.73750i | 0.444604 | − | 0.256692i | ||||
\(213\) | 3.34794 | + | 3.34794i | 0.229397 | + | 0.229397i | ||||
\(214\) | 3.81037 | + | 1.02099i | 0.260472 | + | 0.0697932i | ||||
\(215\) | −4.64909 | − | 1.24572i | −0.317065 | − | 0.0849573i | ||||
\(216\) | −11.0844 | + | 11.0844i | −0.754197 | + | 0.754197i | ||||
\(217\) | −6.76785 | − | 16.6092i | −0.459432 | − | 1.12751i | ||||
\(218\) | −3.13853 | − | 1.81203i | −0.212568 | − | 0.122726i | ||||
\(219\) | −0.691136 | + | 0.185189i | −0.0467026 | + | 0.0125139i | ||||
\(220\) | −8.97312 | −0.604968 | ||||||||
\(221\) | −7.34527 | + | 7.85665i | −0.494096 | + | 0.528496i | ||||
\(222\) | − | 6.75202i | − | 0.453166i | ||||||
\(223\) | −16.6138 | + | 4.45165i | −1.11254 | + | 0.298105i | −0.767862 | − | 0.640616i | \(-0.778679\pi\) |
−0.344680 | + | 0.938720i | \(0.612013\pi\) | |||||||
\(224\) | 12.0169 | + | 9.33145i | 0.802915 | + | 0.623484i | ||||
\(225\) | −2.41428 | + | 1.39388i | −0.160952 | + | 0.0929256i | ||||
\(226\) | −2.41100 | + | 2.41100i | −0.160377 | + | 0.160377i | ||||
\(227\) | −2.57850 | + | 9.62310i | −0.171141 | + | 0.638707i | 0.826036 | + | 0.563618i | \(0.190591\pi\) |
−0.997177 | + | 0.0750896i | \(0.976076\pi\) | |||||||
\(228\) | 3.00557 | − | 11.2169i | 0.199049 | − | 0.742860i | ||||
\(229\) | −2.94885 | + | 2.94885i | −0.194865 | + | 0.194865i | −0.797795 | − | 0.602929i | \(-0.794000\pi\) |
0.602929 | + | 0.797795i | \(0.294000\pi\) | |||||||
\(230\) | 1.23399 | − | 0.712446i | 0.0813671 | − | 0.0469773i | ||||
\(231\) | 14.5378 | + | 11.2890i | 0.956519 | + | 0.742762i | ||||
\(232\) | −14.8816 | + | 3.98752i | −0.977026 | + | 0.261793i | ||||
\(233\) | 6.32614i | 0.414439i | 0.978294 | + | 0.207220i | \(0.0664414\pi\) | ||||
−0.978294 | + | 0.207220i | \(0.933559\pi\) | |||||||
\(234\) | −2.53488 | − | 1.35198i | −0.165710 | − | 0.0883820i | ||||
\(235\) | 8.36426 | 0.545624 | ||||||||
\(236\) | 13.8807 | − | 3.71933i | 0.903560 | − | 0.242108i | ||||
\(237\) | 8.63172 | + | 4.98353i | 0.560691 | + | 0.323715i | ||||
\(238\) | 6.15720 | − | 2.50891i | 0.399112 | − | 0.162629i | ||||
\(239\) | 7.84175 | − | 7.84175i | 0.507241 | − | 0.507241i | −0.406438 | − | 0.913679i | \(-0.633229\pi\) |
0.913679 | + | 0.406438i | \(0.133229\pi\) | |||||||
\(240\) | −0.487009 | − | 0.130494i | −0.0314363 | − | 0.00842332i | ||||
\(241\) | −13.5060 | − | 3.61892i | −0.869996 | − | 0.233115i | −0.203910 | − | 0.978990i | \(-0.565365\pi\) |
−0.666086 | + | 0.745875i | \(0.732032\pi\) | |||||||
\(242\) | 7.48251 | + | 7.48251i | 0.480994 | + | 0.480994i | ||||
\(243\) | 8.15430 | − | 4.70789i | 0.523099 | − | 0.302011i | ||||
\(244\) | 5.92334 | − | 10.2595i | 0.379203 | − | 0.656799i | ||||
\(245\) | −0.115611 | + | 10.0281i | −0.00738611 | + | 0.640672i | ||||
\(246\) | 5.89523i | 0.375866i | ||||||||
\(247\) | 22.6278 | − | 0.761183i | 1.43978 | − | 0.0484329i | ||||
\(248\) | − | 18.7900i | − | 1.19316i | ||||||
\(249\) | 1.69386 | + | 6.32158i | 0.107344 | + | 0.400614i | ||||
\(250\) | 8.30691 | + | 4.79600i | 0.525375 | + | 0.303325i | ||||
\(251\) | −13.1784 | − | 22.8256i | −0.831813 | − | 1.44074i | −0.896599 | − | 0.442843i | \(-0.853970\pi\) |
0.0647865 | − | 0.997899i | \(-0.479363\pi\) | |||||||
\(252\) | −1.95085 | − | 2.57297i | −0.122892 | − | 0.162082i | ||||
\(253\) | 5.53531 | + | 1.48318i | 0.348002 | + | 0.0932468i | ||||
\(254\) | −2.69066 | + | 10.0417i | −0.168827 | + | 0.630071i | ||||
\(255\) | −4.33122 | + | 4.33122i | −0.271231 | + | 0.271231i | ||||
\(256\) | 7.65303 | + | 13.2554i | 0.478314 | + | 0.828465i | ||||
\(257\) | 5.39025 | − | 9.33618i | 0.336234 | − | 0.582375i | −0.647487 | − | 0.762077i | \(-0.724180\pi\) |
0.983721 | + | 0.179702i | \(0.0575133\pi\) | |||||||
\(258\) | 1.04984 | + | 3.91804i | 0.0653599 | + | 0.243927i | ||||
\(259\) | 14.6576 | + | 2.01573i | 0.910781 | + | 0.125251i | ||||
\(260\) | −0.224087 | − | 6.66149i | −0.0138973 | − | 0.413128i | ||||
\(261\) | 5.25714 | 0.325409 | ||||||||
\(262\) | 5.46301 | − | 1.46381i | 0.337506 | − | 0.0904345i | ||||
\(263\) | 7.74562 | − | 13.4158i | 0.477616 | − | 0.827254i | −0.522055 | − | 0.852912i | \(-0.674835\pi\) |
0.999671 | + | 0.0256573i | \(0.00816786\pi\) | |||||||
\(264\) | 9.64177 | + | 16.7000i | 0.593410 | + | 1.02782i | ||||
\(265\) | 5.86881 | + | 5.86881i | 0.360518 | + | 0.360518i | ||||
\(266\) | −12.8994 | − | 5.43042i | −0.790912 | − | 0.332960i | ||||
\(267\) | 0.0912034 | − | 0.340376i | 0.00558156 | − | 0.0208307i | ||||
\(268\) | −1.79252 | − | 1.79252i | −0.109495 | − | 0.109495i | ||||
\(269\) | −22.6324 | + | 13.0668i | −1.37992 | + | 0.796697i | −0.992149 | − | 0.125060i | \(-0.960088\pi\) |
−0.387770 | + | 0.921756i | \(0.626754\pi\) | |||||||
\(270\) | −5.91112 | − | 3.41279i | −0.359739 | − | 0.207696i | ||||
\(271\) | 1.70363 | + | 6.35804i | 0.103488 | + | 0.386223i | 0.998169 | − | 0.0604821i | \(-0.0192638\pi\) |
−0.894681 | + | 0.446706i | \(0.852597\pi\) | |||||||
\(272\) | −0.732458 | −0.0444118 | ||||||||
\(273\) | −8.01770 | + | 11.0746i | −0.485253 | + | 0.670263i | ||||
\(274\) | 18.4439 | 1.11424 | ||||||||
\(275\) | 3.70286 | + | 13.8193i | 0.223291 | + | 0.833333i | ||||
\(276\) | 1.89079 | + | 1.09165i | 0.113812 | + | 0.0657096i | ||||
\(277\) | −25.2681 | + | 14.5885i | −1.51821 | + | 0.876540i | −0.518442 | + | 0.855113i | \(0.673488\pi\) |
−0.999770 | + | 0.0214270i | \(0.993179\pi\) | |||||||
\(278\) | −2.40525 | − | 2.40525i | −0.144258 | − | 0.144258i | ||||
\(279\) | −1.65946 | + | 6.19317i | −0.0993490 | + | 0.370776i | ||||
\(280\) | −4.07665 | + | 9.68365i | −0.243626 | + | 0.578709i | ||||
\(281\) | 8.85369 | + | 8.85369i | 0.528167 | + | 0.528167i | 0.920025 | − | 0.391859i | \(-0.128168\pi\) |
−0.391859 | + | 0.920025i | \(0.628168\pi\) | |||||||
\(282\) | −3.52451 | − | 6.10463i | −0.209882 | − | 0.363526i | ||||
\(283\) | 15.9706 | − | 27.6618i | 0.949351 | − | 1.64432i | 0.202556 | − | 0.979271i | \(-0.435075\pi\) |
0.746795 | − | 0.665054i | \(-0.231591\pi\) | |||||||
\(284\) | −4.11732 | + | 1.10323i | −0.244318 | + | 0.0654648i | ||||
\(285\) | 12.8939 | 0.763769 | ||||||||
\(286\) | −10.0689 | + | 10.7699i | −0.595386 | + | 0.636837i | ||||
\(287\) | −12.7976 | − | 1.75995i | −0.755421 | − | 0.103886i | ||||
\(288\) | −1.40773 | − | 5.25373i | −0.0829514 | − | 0.309579i | ||||
\(289\) | 4.05077 | − | 7.01614i | 0.238281 | − | 0.412714i | ||||
\(290\) | −3.35420 | − | 5.80964i | −0.196965 | − | 0.341154i | ||||
\(291\) | 9.52974 | − | 9.52974i | 0.558643 | − | 0.558643i | ||||
\(292\) | 0.166722 | − | 0.622216i | 0.00975668 | − | 0.0364124i | ||||
\(293\) | 12.4822 | + | 3.34459i | 0.729218 | + | 0.195393i | 0.604281 | − | 0.796771i | \(-0.293460\pi\) |
0.124937 | + | 0.992165i | \(0.460127\pi\) | |||||||
\(294\) | 7.36770 | − | 4.14124i | 0.429693 | − | 0.241522i | ||||
\(295\) | 7.97798 | + | 13.8183i | 0.464496 | + | 0.804531i | ||||
\(296\) | 13.4241 | + | 7.75039i | 0.780258 | + | 0.450482i | ||||
\(297\) | −7.10479 | − | 26.5154i | −0.412262 | − | 1.53858i | ||||
\(298\) | − | 2.38973i | − | 0.138433i | ||||||
\(299\) | −0.962853 | + | 4.14635i | −0.0556832 | + | 0.239790i | ||||
\(300\) | 5.45075i | 0.314699i | ||||||||
\(301\) | −8.81889 | + | 1.10935i | −0.508313 | + | 0.0639421i | ||||
\(302\) | −7.05216 | + | 12.2147i | −0.405806 | + | 0.702877i | ||||
\(303\) | 17.7332 | − | 10.2382i | 1.01874 | − | 0.588171i | ||||
\(304\) | 1.09025 | + | 1.09025i | 0.0625303 | + | 0.0625303i | ||||
\(305\) | 12.7056 | + | 3.40445i | 0.727520 | + | 0.194938i | ||||
\(306\) | −2.29587 | − | 0.615177i | −0.131246 | − | 0.0351674i | ||||
\(307\) | −5.42520 | + | 5.42520i | −0.309632 | + | 0.309632i | −0.844767 | − | 0.535135i | \(-0.820261\pi\) |
0.535135 | + | 0.844767i | \(0.320261\pi\) | |||||||
\(308\) | −15.3457 | + | 6.25301i | −0.874403 | + | 0.356299i | ||||
\(309\) | −9.24869 | − | 5.33974i | −0.526140 | − | 0.303767i | ||||
\(310\) | 7.90282 | − | 2.11755i | 0.448850 | − | 0.120269i | ||||
\(311\) | −0.483376 | −0.0274097 | −0.0137049 | − | 0.999906i | \(-0.504363\pi\) | ||||
−0.0137049 | + | 0.999906i | \(0.504363\pi\) | |||||||
\(312\) | −12.1570 | + | 7.57493i | −0.688256 | + | 0.428846i | ||||
\(313\) | 0.445328i | 0.0251715i | 0.999921 | + | 0.0125857i | \(0.00400627\pi\) | ||||
−0.999921 | + | 0.0125857i | \(0.995994\pi\) | |||||||
\(314\) | 2.33430 | − | 0.625474i | 0.131732 | − | 0.0352976i | ||||
\(315\) | 2.19889 | − | 2.83170i | 0.123893 | − | 0.159548i | ||||
\(316\) | −7.77097 | + | 4.48657i | −0.437151 | + | 0.252389i | ||||
\(317\) | −17.5588 | + | 17.5588i | −0.986201 | + | 0.986201i | −0.999906 | − | 0.0137052i | \(-0.995637\pi\) |
0.0137052 | + | 0.999906i | \(0.495637\pi\) | |||||||
\(318\) | 1.81035 | − | 6.75631i | 0.101519 | − | 0.378875i | ||||
\(319\) | 6.98281 | − | 26.0602i | 0.390962 | − | 1.45909i | ||||
\(320\) | −4.41020 | + | 4.41020i | −0.246538 | + | 0.246538i | ||||
\(321\) | −5.81218 | + | 3.35567i | −0.324404 | + | 0.187295i | ||||
\(322\) | 1.61388 | − | 2.07834i | 0.0899381 | − | 0.115821i | ||||
\(323\) | 18.0933 | − | 4.84809i | 1.00674 | − | 0.269755i | ||||
\(324\) | − | 6.79726i | − | 0.377625i | ||||||
\(325\) | −10.1667 | + | 3.09405i | −0.563947 | + | 0.171627i | ||||
\(326\) | −20.3019 | −1.12442 | ||||||||
\(327\) | 5.95559 | − | 1.59579i | 0.329345 | − | 0.0882476i | ||||
\(328\) | −11.7206 | − | 6.76690i | −0.647163 | − | 0.373640i | ||||
\(329\) | 14.3044 | − | 5.82872i | 0.788629 | − | 0.321348i | ||||
\(330\) | −5.93723 | + | 5.93723i | −0.326834 | + | 0.326834i | ||||
\(331\) | −14.3822 | − | 3.85370i | −0.790518 | − | 0.211819i | −0.159101 | − | 0.987262i | \(-0.550860\pi\) |
−0.631417 | + | 0.775444i | \(0.717526\pi\) | |||||||
\(332\) | −5.69120 | − | 1.52495i | −0.312345 | − | 0.0836926i | ||||
\(333\) | −3.74009 | − | 3.74009i | −0.204956 | − | 0.204956i | ||||
\(334\) | −7.15973 | + | 4.13367i | −0.391763 | + | 0.226184i | ||||
\(335\) | 1.40735 | − | 2.43760i | 0.0768917 | − | 0.133180i | ||||
\(336\) | −0.923811 | + | 0.116209i | −0.0503980 | + | 0.00633971i | ||||
\(337\) | − | 7.23643i | − | 0.394194i | −0.980384 | − | 0.197097i | \(-0.936849\pi\) | ||
0.980384 | − | 0.197097i | \(-0.0631513\pi\) | |||||||
\(338\) | −8.24683 | − | 7.20601i | −0.448568 | − | 0.391955i | ||||
\(339\) | − | 5.80093i | − | 0.315063i | ||||||
\(340\) | −1.42725 | − | 5.32656i | −0.0774033 | − | 0.288873i | ||||
\(341\) | 28.4960 | + | 16.4522i | 1.54315 | + | 0.890936i | ||||
\(342\) | 2.50169 | + | 4.33306i | 0.135276 | + | 0.234305i | ||||
\(343\) | 6.79047 | + | 17.2305i | 0.366651 | + | 0.930359i | ||||
\(344\) | −8.99474 | − | 2.41013i | −0.484964 | − | 0.129946i | ||||
\(345\) | −0.627427 | + | 2.34159i | −0.0337795 | + | 0.126067i | ||||
\(346\) | 3.12001 | − | 3.12001i | 0.167733 | − | 0.167733i | ||||
\(347\) | 6.28405 | + | 10.8843i | 0.337345 | + | 0.584299i | 0.983933 | − | 0.178541i | \(-0.0571376\pi\) |
−0.646587 | + | 0.762840i | \(0.723804\pi\) | |||||||
\(348\) | 5.13948 | − | 8.90185i | 0.275505 | − | 0.477189i | ||||
\(349\) | −4.81774 | − | 17.9800i | −0.257888 | − | 0.962450i | −0.966461 | − | 0.256813i | \(-0.917328\pi\) |
0.708574 | − | 0.705637i | \(-0.249339\pi\) | |||||||
\(350\) | 6.50813 | + | 0.895005i | 0.347874 | + | 0.0478400i | ||||
\(351\) | 19.5072 | − | 5.93665i | 1.04122 | − | 0.316875i | ||||
\(352\) | −27.9131 | −1.48777 | ||||||||
\(353\) | −6.04570 | + | 1.61994i | −0.321780 | + | 0.0862207i | −0.416093 | − | 0.909322i | \(-0.636601\pi\) |
0.0943134 | + | 0.995543i | \(0.469934\pi\) | |||||||
\(354\) | 6.72348 | − | 11.6454i | 0.357349 | − | 0.618947i | ||||
\(355\) | −2.36643 | − | 4.09878i | −0.125597 | − | 0.217541i | ||||
\(356\) | 0.224325 | + | 0.224325i | 0.0118892 | + | 0.0118892i | ||||
\(357\) | −4.38893 | + | 10.4254i | −0.232287 | + | 0.551773i | ||||
\(358\) | 4.92181 | − | 18.3684i | 0.260126 | − | 0.970802i | ||||
\(359\) | −1.66592 | − | 1.66592i | −0.0879237 | − | 0.0879237i | 0.661777 | − | 0.749701i | \(-0.269803\pi\) |
−0.749701 | + | 0.661777i | \(0.769803\pi\) | |||||||
\(360\) | 3.25285 | − | 1.87804i | 0.171440 | − | 0.0989812i | ||||
\(361\) | −17.6935 | − | 10.2153i | −0.931236 | − | 0.537649i | ||||
\(362\) | 4.90153 | + | 18.2928i | 0.257619 | + | 0.961446i | ||||
\(363\) | −18.0031 | −0.944918 | ||||||||
\(364\) | −5.02536 | − | 11.2362i | −0.263400 | − | 0.588938i | ||||
\(365\) | 0.715239 | 0.0374373 | ||||||||
\(366\) | −2.86912 | − | 10.7077i | −0.149971 | − | 0.559700i | ||||
\(367\) | −16.7399 | − | 9.66481i | −0.873818 | − | 0.504499i | −0.00520293 | − | 0.999986i | \(-0.501656\pi\) |
−0.868615 | + | 0.495487i | \(0.834989\pi\) | |||||||
\(368\) | −0.251047 | + | 0.144942i | −0.0130867 | + | 0.00755563i | ||||
\(369\) | 3.26549 | + | 3.26549i | 0.169995 | + | 0.169995i | ||||
\(370\) | −1.74687 | + | 6.51943i | −0.0908157 | + | 0.338929i | ||||
\(371\) | 14.1265 | + | 5.94701i | 0.733411 | + | 0.308753i | ||||
\(372\) | 8.86450 | + | 8.86450i | 0.459603 | + | 0.459603i | ||||
\(373\) | 4.17375 | + | 7.22914i | 0.216108 | + | 0.374311i | 0.953615 | − | 0.301029i | \(-0.0973302\pi\) |
−0.737507 | + | 0.675340i | \(0.763997\pi\) | |||||||
\(374\) | −6.09900 | + | 10.5638i | −0.315372 | + | 0.546240i | ||||
\(375\) | −15.7630 | + | 4.22367i | −0.813996 | + | 0.218110i | ||||
\(376\) | 16.1826 | 0.834554 | ||||||||
\(377\) | 19.5210 | + | 4.53311i | 1.00538 | + | 0.233467i | ||||
\(378\) | −12.4873 | − | 1.71727i | −0.642280 | − | 0.0883270i | ||||
\(379\) | −4.99923 | − | 18.6574i | −0.256793 | − | 0.958365i | −0.967084 | − | 0.254457i | \(-0.918103\pi\) |
0.710291 | − | 0.703908i | \(-0.248563\pi\) | |||||||
\(380\) | −5.80407 | + | 10.0529i | −0.297742 | + | 0.515705i | ||||
\(381\) | −8.84337 | − | 15.3172i | −0.453060 | − | 0.784723i | ||||
\(382\) | 14.6960 | − | 14.6960i | 0.751915 | − | 0.751915i | ||||
\(383\) | 6.09034 | − | 22.7295i | 0.311202 | − | 1.16142i | −0.616272 | − | 0.787533i | \(-0.711358\pi\) |
0.927474 | − | 0.373888i | \(-0.121976\pi\) | |||||||
\(384\) | −10.8450 | − | 2.90592i | −0.553433 | − | 0.148292i | ||||
\(385\) | −11.1163 | − | 14.6613i | −0.566542 | − | 0.747210i | ||||
\(386\) | 1.44861 | + | 2.50906i | 0.0737323 | + | 0.127708i | ||||
\(387\) | 2.75181 | + | 1.58876i | 0.139882 | + | 0.0807612i | ||||
\(388\) | 3.14029 | + | 11.7197i | 0.159424 | + | 0.594979i | ||||
\(389\) | 27.9585i | 1.41755i | 0.705434 | + | 0.708775i | \(0.250752\pi\) | ||||
−0.705434 | + | 0.708775i | \(0.749248\pi\) | |||||||
\(390\) | −4.55597 | − | 4.25942i | −0.230700 | − | 0.215684i | ||||
\(391\) | 3.52174i | 0.178102i | ||||||||
\(392\) | −0.223676 | + | 19.4017i | −0.0112973 | + | 0.979933i | ||||
\(393\) | −4.81109 | + | 8.33305i | −0.242687 | + | 0.420347i | ||||
\(394\) | 2.91292 | − | 1.68177i | 0.146751 | − | 0.0847266i | ||||
\(395\) | −7.04504 | − | 7.04504i | −0.354475 | − | 0.354475i | ||||
\(396\) | 5.72205 | + | 1.53322i | 0.287544 | + | 0.0770471i | ||||
\(397\) | −11.5874 | − | 3.10484i | −0.581556 | − | 0.155827i | −0.0439649 | − | 0.999033i | \(-0.513999\pi\) |
−0.537591 | + | 0.843206i | \(0.680666\pi\) | |||||||
\(398\) | −0.609447 | + | 0.609447i | −0.0305488 | + | 0.0305488i | ||||
\(399\) | 22.0510 | − | 8.98526i | 1.10393 | − | 0.449825i | ||||
\(400\) | −0.626756 | − | 0.361858i | −0.0313378 | − | 0.0180929i | ||||
\(401\) | 19.1246 | − | 5.12441i | 0.955035 | − | 0.255901i | 0.252537 | − | 0.967587i | \(-0.418735\pi\) |
0.702497 | + | 0.711686i | \(0.252068\pi\) | |||||||
\(402\) | −2.37210 | −0.118310 | ||||||||
\(403\) | −11.5022 | + | 21.5658i | −0.572965 | + | 1.07427i | ||||
\(404\) | 18.4346i | 0.917154i | ||||||||
\(405\) | 7.29007 | − | 1.95337i | 0.362246 | − | 0.0970636i | ||||
\(406\) | −9.78480 | − | 7.59815i | −0.485612 | − | 0.377090i | ||||
\(407\) | −23.5078 | + | 13.5722i | −1.16524 | + | 0.672751i | ||||
\(408\) | −8.37974 | + | 8.37974i | −0.414859 | + | 0.414859i | ||||
\(409\) | −4.60743 | + | 17.1952i | −0.227823 | + | 0.850247i | 0.753431 | + | 0.657527i | \(0.228398\pi\) |
−0.981254 | + | 0.192720i | \(0.938269\pi\) | |||||||
\(410\) | 1.52521 | − | 5.69214i | 0.0753245 | − | 0.281115i | ||||
\(411\) | −22.1883 | + | 22.1883i | −1.09447 | + | 1.09447i | ||||
\(412\) | 8.32642 | − | 4.80726i | 0.410213 | − | 0.236837i | ||||
\(413\) | 23.2732 | + | 18.0723i | 1.14520 | + | 0.889278i | ||||
\(414\) | −0.908636 | + | 0.243468i | −0.0446570 | + | 0.0119658i | ||||
\(415\) | − | 6.54205i | − | 0.321137i | ||||||
\(416\) | −0.697079 | − | 20.7222i | −0.0341771 | − | 1.01599i | ||||
\(417\) | 5.78710 | 0.283396 | ||||||||
\(418\) | 24.8023 | − | 6.64576i | 1.21312 | − | 0.325055i | ||||
\(419\) | 8.03474 | + | 4.63886i | 0.392523 | + | 0.226623i | 0.683253 | − | 0.730182i | \(-0.260565\pi\) |
−0.290730 | + | 0.956805i | \(0.593898\pi\) | |||||||
\(420\) | −2.64520 | − | 6.49167i | −0.129073 | − | 0.316761i | ||||
\(421\) | −13.2205 | + | 13.2205i | −0.644329 | + | 0.644329i | −0.951617 | − | 0.307288i | \(-0.900579\pi\) |
0.307288 | + | 0.951617i | \(0.400579\pi\) | |||||||
\(422\) | 4.39510 | + | 1.17766i | 0.213950 | + | 0.0573277i | ||||
\(423\) | −5.33379 | − | 1.42918i | −0.259338 | − | 0.0694893i | ||||
\(424\) | 11.3546 | + | 11.3546i | 0.551426 | + | 0.551426i | ||||
\(425\) | −7.61431 | + | 4.39612i | −0.369348 | + | 0.213243i | ||||
\(426\) | −1.99432 | + | 3.45427i | −0.0966253 | + | 0.167360i | ||||
\(427\) | 24.1013 | − | 3.03178i | 1.16635 | − | 0.146718i | ||||
\(428\) | − | 6.04208i | − | 0.292055i | ||||||
\(429\) | −0.843312 | − | 25.0693i | −0.0407155 | − | 1.21036i | ||||
\(430\) | − | 4.05468i | − | 0.195534i | ||||||
\(431\) | 1.53438 | + | 5.72637i | 0.0739083 | + | 0.275830i | 0.992984 | − | 0.118252i | \(-0.0377292\pi\) |
−0.919075 | + | 0.394082i | \(0.871063\pi\) | |||||||
\(432\) | 1.20258 | + | 0.694307i | 0.0578589 | + | 0.0334049i | ||||
\(433\) | 6.32385 | + | 10.9532i | 0.303905 | + | 0.526379i | 0.977017 | − | 0.213162i | \(-0.0683762\pi\) |
−0.673112 | + | 0.739541i | \(0.735043\pi\) | |||||||
\(434\) | 12.0396 | − | 9.12857i | 0.577921 | − | 0.438185i | ||||
\(435\) | 11.0242 | + | 2.95393i | 0.528570 | + | 0.141630i | ||||
\(436\) | −1.43666 | + | 5.36170i | −0.0688036 | + | 0.256779i | ||||
\(437\) | 5.24205 | − | 5.24205i | 0.250761 | − | 0.250761i | ||||
\(438\) | −0.301386 | − | 0.522015i | −0.0144008 | − | 0.0249429i | ||||
\(439\) | −12.8788 | + | 22.3067i | −0.614670 | + | 1.06464i | 0.375772 | + | 0.926712i | \(0.377378\pi\) |
−0.990442 | + | 0.137928i | \(0.955956\pi\) | |||||||
\(440\) | −4.98901 | − | 18.6192i | −0.237842 | − | 0.887638i | ||||
\(441\) | 1.78720 | − | 6.37504i | 0.0851050 | − | 0.303574i | ||||
\(442\) | −7.99468 | − | 4.26398i | −0.380268 | − | 0.202817i | ||||
\(443\) | 17.2441 | 0.819293 | 0.409647 | − | 0.912244i | \(-0.365652\pi\) | ||||
0.409647 | + | 0.912244i | \(0.365652\pi\) | |||||||
\(444\) | −9.98942 | + | 2.67666i | −0.474077 | + | 0.127029i | ||||
\(445\) | −0.176123 | + | 0.305054i | −0.00834904 | + | 0.0144610i | ||||
\(446\) | −7.24482 | − | 12.5484i | −0.343052 | − | 0.594184i | ||||
\(447\) | 2.87487 | + | 2.87487i | 0.135977 | + | 0.135977i | ||||
\(448\) | −4.46896 | + | 10.6156i | −0.211139 | + | 0.501538i | ||||
\(449\) | −1.50842 | + | 5.62952i | −0.0711870 | + | 0.265673i | −0.992342 | − | 0.123523i | \(-0.960581\pi\) |
0.921155 | + | 0.389197i | \(0.127247\pi\) | |||||||
\(450\) | −1.66064 | − | 1.66064i | −0.0782831 | − | 0.0782831i | ||||
\(451\) | 20.5248 | − | 11.8500i | 0.966474 | − | 0.557994i | ||||
\(452\) | 4.52278 | + | 2.61123i | 0.212734 | + | 0.122822i | ||||
\(453\) | −6.21060 | − | 23.1783i | −0.291800 | − | 1.08901i | ||||
\(454\) | −8.39274 | −0.393891 | ||||||||
\(455\) | 10.6067 | − | 8.61872i | 0.497250 | − | 0.404052i | ||||
\(456\) | 24.9463 | 1.16822 | ||||||||
\(457\) | 5.74697 | + | 21.4480i | 0.268832 | + | 1.00329i | 0.959863 | + | 0.280469i | \(0.0904901\pi\) |
−0.691031 | + | 0.722825i | \(0.742843\pi\) | |||||||
\(458\) | −3.04250 | − | 1.75659i | −0.142167 | − | 0.0820801i | ||||
\(459\) | 14.6098 | − | 8.43498i | 0.681928 | − | 0.393711i | ||||
\(460\) | −1.54323 | − | 1.54323i | −0.0719533 | − | 0.0719533i | ||||
\(461\) | 5.52093 | − | 20.6044i | 0.257135 | − | 0.959642i | −0.709755 | − | 0.704449i | \(-0.751194\pi\) |
0.966890 | − | 0.255193i | \(-0.0821390\pi\) | |||||||
\(462\) | −6.01634 | + | 14.2912i | −0.279906 | + | 0.664886i | ||||
\(463\) | −5.14657 | − | 5.14657i | −0.239181 | − | 0.239181i | 0.577330 | − | 0.816511i | \(-0.304095\pi\) |
−0.816511 | + | 0.577330i | \(0.804095\pi\) | |||||||
\(464\) | 0.682387 | + | 1.18193i | 0.0316790 | + | 0.0548697i | ||||
\(465\) | −6.95974 | + | 12.0546i | −0.322750 | + | 0.559020i | ||||
\(466\) | −5.14772 | + | 1.37933i | −0.238464 | + | 0.0638962i | ||||
\(467\) | −28.5108 | −1.31932 | −0.659661 | − | 0.751563i | \(-0.729300\pi\) | ||||
−0.659661 | + | 0.751563i | \(0.729300\pi\) | |||||||
\(468\) | −0.995337 | + | 4.28624i | −0.0460095 | + | 0.198131i | ||||
\(469\) | 0.708161 | − | 5.14948i | 0.0326998 | − | 0.237781i | ||||
\(470\) | 1.82371 | + | 6.80619i | 0.0841216 | + | 0.313946i | ||||
\(471\) | −2.05574 | + | 3.56065i | −0.0947235 | + | 0.164066i | ||||
\(472\) | 15.4352 | + | 26.7346i | 0.710465 | + | 1.23056i | ||||
\(473\) | 11.5308 | − | 11.5308i | 0.530184 | − | 0.530184i | ||||
\(474\) | −2.17318 | + | 8.11042i | −0.0998175 | + | 0.372524i | ||||
\(475\) | 17.8774 | + | 4.79022i | 0.820270 | + | 0.219791i | ||||
\(476\) | −6.15272 | − | 8.11481i | −0.282010 | − | 0.371942i | ||||
\(477\) | −2.73967 | − | 4.74526i | −0.125441 | − | 0.217270i | ||||
\(478\) | 8.09080 | + | 4.67123i | 0.370065 | + | 0.213657i | ||||
\(479\) | 8.52110 | + | 31.8012i | 0.389339 | + | 1.45303i | 0.831212 | + | 0.555955i | \(0.187648\pi\) |
−0.441873 | + | 0.897078i | \(0.645686\pi\) | |||||||
\(480\) | − | 11.8080i | − | 0.538961i | ||||||
\(481\) | −10.6629 | − | 17.1128i | −0.486184 | − | 0.780278i | ||||
\(482\) | − | 11.7792i | − | 0.536527i | ||||||
\(483\) | 0.558745 | + | 4.44178i | 0.0254238 | + | 0.202108i | ||||
\(484\) | 8.10392 | − | 14.0364i | 0.368360 | − | 0.638018i | ||||
\(485\) | −11.6670 | + | 6.73593i | −0.529770 | + | 0.305863i | ||||
\(486\) | 5.60885 | + | 5.60885i | 0.254423 | + | 0.254423i | ||||
\(487\) | 13.6913 | + | 3.66858i | 0.620414 | + | 0.166239i | 0.555316 | − | 0.831640i | \(-0.312597\pi\) |
0.0650979 | + | 0.997879i | \(0.479264\pi\) | |||||||
\(488\) | 24.5819 | + | 6.58670i | 1.11277 | + | 0.298166i | ||||
\(489\) | 24.4235 | − | 24.4235i | 1.10447 | − | 1.10447i | ||||
\(490\) | −8.18531 | + | 2.09242i | −0.369774 | + | 0.0945258i | ||||
\(491\) | −25.7788 | − | 14.8834i | −1.16338 | − | 0.671678i | −0.211269 | − | 0.977428i | \(-0.567759\pi\) |
−0.952112 | + | 0.305750i | \(0.901093\pi\) | |||||||
\(492\) | 8.72182 | − | 2.33700i | 0.393210 | − | 0.105360i | ||||
\(493\) | 16.5803 | 0.746741 | ||||||||
\(494\) | 5.55309 | + | 18.2468i | 0.249845 | + | 0.820964i | ||||
\(495\) | 6.57751i | 0.295637i | ||||||||
\(496\) | −1.60777 | + | 0.430801i | −0.0721911 | + | 0.0193435i | ||||
\(497\) | −6.90332 | − | 5.36061i | −0.309656 | − | 0.240456i | ||||
\(498\) | −4.77470 | + | 2.75667i | −0.213959 | + | 0.123529i | ||||
\(499\) | 13.0693 | − | 13.0693i | 0.585064 | − | 0.585064i | −0.351226 | − | 0.936291i | \(-0.614235\pi\) |
0.936291 | + | 0.351226i | \(0.114235\pi\) | |||||||
\(500\) | 3.80249 | − | 14.1911i | 0.170052 | − | 0.634644i | ||||
\(501\) | 3.64039 | − | 13.5861i | 0.162640 | − | 0.606982i | ||||
\(502\) | 15.7004 | − | 15.7004i | 0.700743 | − | 0.700743i | ||||
\(503\) | −5.05931 | + | 2.92099i | −0.225583 | + | 0.130241i | −0.608533 | − | 0.793529i | \(-0.708242\pi\) |
0.382949 | + | 0.923769i | \(0.374908\pi\) | |||||||
\(504\) | 4.25425 | − | 5.47857i | 0.189500 | − | 0.244035i | ||||
\(505\) | −19.7711 | + | 5.29765i | −0.879802 | + | 0.235742i | ||||
\(506\) | 4.82759i | 0.214613i | ||||||||
\(507\) | 18.5900 | − | 1.25212i | 0.825609 | − | 0.0556086i | ||||
\(508\) | 15.9230 | 0.706470 | ||||||||
\(509\) | −28.3274 | + | 7.59031i | −1.25559 | + | 0.336435i | −0.824494 | − | 0.565871i | \(-0.808540\pi\) |
−0.431097 | + | 0.902306i | \(0.641873\pi\) | |||||||
\(510\) | −4.46878 | − | 2.58005i | −0.197881 | − | 0.114246i | ||||
\(511\) | 1.22319 | − | 0.498422i | 0.0541108 | − | 0.0220489i | ||||
\(512\) | 1.96096 | − | 1.96096i | 0.0866629 | − | 0.0866629i | ||||
\(513\) | −34.3018 | − | 9.19115i | −1.51446 | − | 0.405799i | ||||
\(514\) | 8.77234 | + | 2.35054i | 0.386931 | + | 0.103678i | ||||
\(515\) | 7.54860 | + | 7.54860i | 0.332631 | + | 0.332631i | ||||
\(516\) | 5.38045 | − | 3.10640i | 0.236861 | − | 0.136752i | ||||
\(517\) | −14.1692 | + | 24.5418i | −0.623162 | + | 1.07935i | ||||
\(518\) | 1.55565 | + | 12.3668i | 0.0683513 | + | 0.543364i | ||||
\(519\) | 7.50681i | 0.329513i | ||||||||
\(520\) | 13.6980 | − | 4.16874i | 0.600698 | − | 0.182811i | ||||
\(521\) | 41.0128i | 1.79680i | 0.439173 | + | 0.898402i | \(0.355271\pi\) | ||||
−0.439173 | + | 0.898402i | \(0.644729\pi\) | |||||||
\(522\) | 1.14625 | + | 4.27786i | 0.0501699 | + | 0.187237i | ||||
\(523\) | −38.4309 | − | 22.1881i | −1.68047 | − | 0.970217i | −0.961351 | − | 0.275325i | \(-0.911215\pi\) |
−0.719114 | − | 0.694892i | \(-0.755452\pi\) | |||||||
\(524\) | −4.33133 | − | 7.50208i | −0.189215 | − | 0.327730i | ||||
\(525\) | −8.90606 | + | 6.75266i | −0.388692 | + | 0.294710i | ||||
\(526\) | 12.6056 | + | 3.37766i | 0.549630 | + | 0.147273i | ||||
\(527\) | −5.23370 | + | 19.5325i | −0.227984 | + | 0.850847i | ||||
\(528\) | 1.20789 | − | 1.20789i | 0.0525666 | − | 0.0525666i | ||||
\(529\) | −10.8031 | − | 18.7115i | −0.469700 | − | 0.813544i | ||||
\(530\) | −3.49597 | + | 6.05520i | −0.151855 | + | 0.263021i | ||||
\(531\) | −2.72636 | − | 10.1749i | −0.118314 | − | 0.441554i | ||||
\(532\) | −2.92054 | + | 21.2370i | −0.126621 | + | 0.920741i | ||||
\(533\) | 9.30979 | + | 14.9413i | 0.403252 | + | 0.647180i | ||||
\(534\) | 0.296857 | 0.0128463 | ||||||||
\(535\) | 6.48014 | − | 1.73635i | 0.280161 | − | 0.0750688i | ||||
\(536\) | 2.72284 | − | 4.71610i | 0.117609 | − | 0.203705i | ||||
\(537\) | 16.1765 | + | 28.0185i | 0.698066 | + | 1.20909i | ||||
\(538\) | −15.5674 | − | 15.5674i | −0.671160 | − | 0.671160i | ||||
\(539\) | −29.2279 | − | 17.3270i | −1.25894 | − | 0.746328i | ||||
\(540\) | −2.70581 | + | 10.0982i | −0.116440 | + | 0.434559i | ||||
\(541\) | −4.85001 | − | 4.85001i | −0.208518 | − | 0.208518i | 0.595119 | − | 0.803637i | \(-0.297105\pi\) |
−0.803637 | + | 0.595119i | \(0.797105\pi\) | |||||||
\(542\) | −4.80223 | + | 2.77257i | −0.206273 | + | 0.119092i | ||||
\(543\) | −27.9030 | − | 16.1098i | −1.19743 | − | 0.691338i | ||||
\(544\) | −4.43980 | − | 16.5696i | −0.190355 | − | 0.710414i | ||||
\(545\) | −6.16329 | −0.264006 | ||||||||
\(546\) | −10.7598 | − | 4.10953i | −0.460476 | − | 0.175872i | ||||
\(547\) | −16.7670 | −0.716904 | −0.358452 | − | 0.933548i | \(-0.616695\pi\) | ||||
−0.358452 | + | 0.933548i | \(0.616695\pi\) | |||||||
\(548\) | −7.31159 | − | 27.2872i | −0.312336 | − | 1.16565i | ||||
\(549\) | −7.52048 | − | 4.34195i | −0.320966 | − | 0.185310i | ||||
\(550\) | −10.4377 | + | 6.02620i | −0.445065 | + | 0.256958i | ||||
\(551\) | −24.6796 | − | 24.6796i | −1.05139 | − | 1.05139i | ||||
\(552\) | −1.21390 | + | 4.53035i | −0.0516672 | + | 0.192824i | ||||
\(553\) | −16.9577 | − | 7.13892i | −0.721116 | − | 0.303578i | ||||
\(554\) | −17.3804 | − | 17.3804i | −0.738422 | − | 0.738422i | ||||
\(555\) | −5.74144 | − | 9.94446i | −0.243710 | − | 0.422119i | ||||
\(556\) | −2.60501 | + | 4.51200i | −0.110477 | + | 0.191352i | ||||
\(557\) | −38.0545 | + | 10.1967i | −1.61242 | + | 0.432046i | −0.948762 | − | 0.315991i | \(-0.897663\pi\) |
−0.663657 | + | 0.748037i | \(0.730996\pi\) | |||||||
\(558\) | −5.40135 | −0.228657 | ||||||||
\(559\) | 8.84819 | + | 8.27227i | 0.374238 | + | 0.349880i | ||||
\(560\) | 0.922052 | + | 0.126802i | 0.0389638 | + | 0.00535834i | ||||
\(561\) | −5.37118 | − | 20.0455i | −0.226772 | − | 0.846323i | ||||
\(562\) | −5.27402 | + | 9.13488i | −0.222471 | + | 0.385332i | ||||
\(563\) | 1.05586 | + | 1.82880i | 0.0444991 | + | 0.0770748i | 0.887417 | − | 0.460967i | \(-0.152497\pi\) |
−0.842918 | + | 0.538042i | \(0.819164\pi\) | |||||||
\(564\) | −7.63443 | + | 7.63443i | −0.321467 | + | 0.321467i | ||||
\(565\) | −1.50081 | + | 5.60110i | −0.0631395 | + | 0.235640i | ||||
\(566\) | 25.9912 | + | 6.96433i | 1.09249 | + | 0.292733i | ||||
\(567\) | 11.1061 | − | 8.42078i | 0.466414 | − | 0.353640i | ||||
\(568\) | −4.57841 | − | 7.93005i | −0.192106 | − | 0.332737i | ||||
\(569\) | 31.5451 | + | 18.2126i | 1.32244 | + | 0.763512i | 0.984117 | − | 0.177518i | \(-0.0568069\pi\) |
0.338323 | + | 0.941030i | \(0.390140\pi\) | |||||||
\(570\) | 2.81134 | + | 10.4921i | 0.117754 | + | 0.439465i | ||||
\(571\) | − | 15.2042i | − | 0.636275i | −0.948045 | − | 0.318138i | \(-0.896943\pi\) | ||
0.948045 | − | 0.318138i | \(-0.103057\pi\) | |||||||
\(572\) | 19.9253 | + | 10.6272i | 0.833118 | + | 0.444346i | ||||
\(573\) | 35.3590i | 1.47715i | ||||||||
\(574\) | −1.35825 | − | 10.7975i | −0.0566921 | − | 0.450678i | ||||
\(575\) | −1.73985 | + | 3.01351i | −0.0725568 | + | 0.125672i | ||||
\(576\) | 3.56589 | − | 2.05877i | 0.148579 | − | 0.0857820i | ||||
\(577\) | −8.00711 | − | 8.00711i | −0.333341 | − | 0.333341i | 0.520513 | − | 0.853854i | \(-0.325741\pi\) |
−0.853854 | + | 0.520513i | \(0.825741\pi\) | |||||||
\(578\) | 6.59241 | + | 1.76643i | 0.274208 | + | 0.0734739i | ||||
\(579\) | −4.76113 | − | 1.27574i | −0.197866 | − | 0.0530180i | ||||
\(580\) | −7.26551 | + | 7.26551i | −0.301684 | + | 0.301684i | ||||
\(581\) | −4.55889 | − | 11.1881i | −0.189135 | − | 0.464161i | ||||
\(582\) | 9.83240 | + | 5.67674i | 0.407566 | + | 0.235308i | ||||
\(583\) | −27.1617 | + | 7.27796i | −1.12492 | + | 0.301422i | ||||
\(584\) | 1.38380 | 0.0572619 | ||||||||
\(585\) | −4.88303 | + | 0.164261i | −0.201889 | + | 0.00679137i | ||||
\(586\) | 10.8863i | 0.449709i | ||||||||
\(587\) | 3.32195 | − | 0.890113i | 0.137111 | − | 0.0367389i | −0.189611 | − | 0.981859i | \(-0.560723\pi\) |
0.326722 | + | 0.945120i | \(0.394056\pi\) | |||||||
\(588\) | −9.04757 | − | 9.25862i | −0.373115 | − | 0.381819i | ||||
\(589\) | 36.8641 | − | 21.2835i | 1.51896 | − | 0.876971i | ||||
\(590\) | −9.50475 | + | 9.50475i | −0.391304 | + | 0.391304i | ||||
\(591\) | −1.48108 | + | 5.52747i | −0.0609236 | + | 0.227370i | ||||
\(592\) | 0.355389 | − | 1.32633i | 0.0146064 | − | 0.0545119i | ||||
\(593\) | 32.9017 | − | 32.9017i | 1.35111 | − | 1.35111i | 0.466687 | − | 0.884422i | \(-0.345447\pi\) |
0.884422 | − | 0.466687i | \(-0.154553\pi\) | |||||||
\(594\) | 20.0271 | − | 11.5627i | 0.821722 | − | 0.474422i | ||||
\(595\) | 6.93500 | − | 8.93080i | 0.284307 | − | 0.366127i | ||||
\(596\) | −3.53554 | + | 0.947344i | −0.144821 | + | 0.0388047i | ||||
\(597\) | − | 1.46635i | − | 0.0600135i | ||||||
\(598\) | −3.58392 | + | 0.120560i | −0.146557 | + | 0.00493008i | ||||
\(599\) | 7.61769 | 0.311251 | 0.155625 | − | 0.987816i | \(-0.450261\pi\) | ||||
0.155625 | + | 0.987816i | \(0.450261\pi\) | |||||||
\(600\) | −11.3103 | + | 3.03059i | −0.461742 | + | 0.123723i | ||||
\(601\) | 32.3774 | + | 18.6931i | 1.32070 | + | 0.762508i | 0.983841 | − | 0.179045i | \(-0.0573009\pi\) |
0.336863 | + | 0.941554i | \(0.390634\pi\) | |||||||
\(602\) | −2.82555 | − | 6.93426i | −0.115161 | − | 0.282619i | ||||
\(603\) | −1.31396 | + | 1.31396i | −0.0535085 | + | 0.0535085i | ||||
\(604\) | 20.8669 | + | 5.59128i | 0.849064 | + | 0.227506i | ||||
\(605\) | 17.3829 | + | 4.65774i | 0.706717 | + | 0.189364i | ||||
\(606\) | 12.1976 | + | 12.1976i | 0.495492 | + | 0.495492i | ||||
\(607\) | 16.4375 | − | 9.49020i | 0.667178 | − | 0.385195i | −0.127829 | − | 0.991796i | \(-0.540801\pi\) |
0.795006 | + | 0.606601i | \(0.207467\pi\) | |||||||
\(608\) | −18.0550 | + | 31.2722i | −0.732226 | + | 1.26825i | ||||
\(609\) | 20.9119 | − | 2.63057i | 0.847393 | − | 0.106596i | ||||
\(610\) | 11.0811i | 0.448661i | ||||||||
\(611\) | −18.5733 | − | 9.90610i | −0.751394 | − | 0.400758i | ||||
\(612\) | 3.64055i | 0.147160i | ||||||||
\(613\) | −1.13756 | − | 4.24543i | −0.0459456 | − | 0.171471i | 0.939141 | − | 0.343533i | \(-0.111624\pi\) |
−0.985086 | + | 0.172062i | \(0.944957\pi\) | |||||||
\(614\) | −5.59750 | − | 3.23172i | −0.225897 | − | 0.130421i | ||||
\(615\) | 5.01288 | + | 8.68256i | 0.202139 | + | 0.350115i | ||||
\(616\) | −21.5071 | − | 28.3657i | −0.866548 | − | 1.14289i | ||||
\(617\) | 23.9468 | + | 6.41652i | 0.964061 | + | 0.258319i | 0.706318 | − | 0.707894i | \(-0.250355\pi\) |
0.257743 | + | 0.966214i | \(0.417021\pi\) | |||||||
\(618\) | 2.32851 | − | 8.69013i | 0.0936666 | − | 0.349568i | ||||
\(619\) | 17.2383 | − | 17.2383i | 0.692866 | − | 0.692866i | −0.269995 | − | 0.962862i | \(-0.587022\pi\) |
0.962862 | + | 0.269995i | \(0.0870222\pi\) | |||||||
\(620\) | −6.26572 | − | 10.8525i | −0.251637 | − | 0.435849i | ||||
\(621\) | 3.33831 | − | 5.78211i | 0.133962 | − | 0.232028i | ||||
\(622\) | −0.105394 | − | 0.393334i | −0.00422590 | − | 0.0157713i | ||||
\(623\) | −0.0886230 | + | 0.644433i | −0.00355061 | + | 0.0258186i | ||||
\(624\) | 0.926879 | + | 0.866550i | 0.0371049 | + | 0.0346898i | ||||
\(625\) | 1.57557 | 0.0630229 | ||||||||
\(626\) | −0.362374 | + | 0.0970978i | −0.0144834 | + | 0.00388081i | ||||
\(627\) | −21.8426 | + | 37.8324i | −0.872307 | + | 1.51088i | ||||
\(628\) | −1.85074 | − | 3.20558i | −0.0738527 | − | 0.127917i | ||||
\(629\) | −11.7957 | − | 11.7957i | −0.470327 | − | 0.470327i | ||||
\(630\) | 2.78365 | + | 1.17187i | 0.110903 | + | 0.0466885i | ||||
\(631\) | 0.701056 | − | 2.61638i | 0.0279086 | − | 0.104156i | −0.950567 | − | 0.310521i | \(-0.899497\pi\) |
0.978475 | + | 0.206364i | \(0.0661633\pi\) | |||||||
\(632\) | −13.6303 | − | 13.6303i | −0.542183 | − | 0.542183i | ||||
\(633\) | −6.70410 | + | 3.87061i | −0.266464 | + | 0.153843i | ||||
\(634\) | −18.1165 | − | 10.4595i | −0.719497 | − | 0.415402i | ||||
\(635\) | 4.57589 | + | 17.0775i | 0.181589 | + | 0.677698i | ||||
\(636\) | −10.7134 | −0.424815 | ||||||||
\(637\) | 12.1334 | − | 22.1310i | 0.480742 | − | 0.876862i | ||||
\(638\) | 22.7283 | 0.899822 | ||||||||
\(639\) | 0.808695 | + | 3.01809i | 0.0319915 | + | 0.119394i | ||||
\(640\) | 9.71961 | + | 5.61162i | 0.384202 | + | 0.221819i | ||||
\(641\) | 2.71103 | − | 1.56522i | 0.107079 | − | 0.0618223i | −0.445504 | − | 0.895280i | \(-0.646975\pi\) |
0.552583 | + | 0.833458i | \(0.313642\pi\) | |||||||
\(642\) | −3.99785 | − | 3.99785i | −0.157783 | − | 0.157783i | ||||
\(643\) | −0.747638 | + | 2.79022i | −0.0294840 | + | 0.110036i | −0.979100 | − | 0.203381i | \(-0.934807\pi\) |
0.949616 | + | 0.313417i | \(0.101474\pi\) | |||||||
\(644\) | −3.71462 | − | 1.56379i | −0.146376 | − | 0.0616220i | ||||
\(645\) | 4.87783 | + | 4.87783i | 0.192064 | + | 0.192064i | ||||
\(646\) | 7.89001 | + | 13.6659i | 0.310428 | + | 0.537677i | ||||
\(647\) | 8.86801 | − | 15.3598i | 0.348637 | − | 0.603857i | −0.637370 | − | 0.770558i | \(-0.719978\pi\) |
0.986008 | + | 0.166700i | \(0.0533112\pi\) | |||||||
\(648\) | 14.1043 | − | 3.77924i | 0.554070 | − | 0.148463i | ||||
\(649\) | −54.0594 | −2.12202 | ||||||||
\(650\) | −4.73441 | − | 7.59827i | −0.185699 | − | 0.298029i | ||||
\(651\) | −3.50206 | + | 25.4656i | −0.137256 | + | 0.998076i | ||||
\(652\) | 8.04815 | + | 30.0361i | 0.315190 | + | 1.17631i | ||||
\(653\) | 11.0978 | − | 19.2219i | 0.434289 | − | 0.752211i | −0.562948 | − | 0.826492i | \(-0.690333\pi\) |
0.997237 | + | 0.0742811i | \(0.0236662\pi\) | |||||||
\(654\) | 2.59707 | + | 4.49826i | 0.101553 | + | 0.175896i | ||||
\(655\) | 6.80127 | − | 6.80127i | 0.265748 | − | 0.265748i | ||||
\(656\) | −0.310292 | + | 1.15803i | −0.0121149 | + | 0.0452133i | ||||
\(657\) | −0.456099 | − | 0.122211i | −0.0177941 | − | 0.00476792i | ||||
\(658\) | 7.86185 | + | 10.3690i | 0.306487 | + | 0.404225i | ||||
\(659\) | 14.4500 | + | 25.0282i | 0.562893 | + | 0.974960i | 0.997242 | + | 0.0742153i | \(0.0236452\pi\) |
−0.434349 | + | 0.900745i | \(0.643021\pi\) | |||||||
\(660\) | 11.1376 | + | 6.43031i | 0.433531 | + | 0.250299i | ||||
\(661\) | 1.00395 | + | 3.74678i | 0.0390490 | + | 0.145733i | 0.982698 | − | 0.185215i | \(-0.0592982\pi\) |
−0.943649 | + | 0.330948i | \(0.892632\pi\) | |||||||
\(662\) | − | 12.5434i | − | 0.487513i | ||||||
\(663\) | 14.7473 | − | 4.48807i | 0.572738 | − | 0.174302i | ||||
\(664\) | − | 12.6571i | − | 0.491191i | ||||||
\(665\) | −23.6160 | + | 2.97073i | −0.915790 | + | 0.115200i | ||||
\(666\) | 2.22792 | − | 3.85887i | 0.0863302 | − | 0.149528i | ||||
\(667\) | 5.68285 | − | 3.28099i | 0.220041 | − | 0.127041i | ||||
\(668\) | 8.95393 | + | 8.95393i | 0.346438 | + | 0.346438i | ||||
\(669\) | 23.8115 | + | 6.38027i | 0.920606 | + | 0.246676i | ||||
\(670\) | 2.29039 | + | 0.613707i | 0.0884853 | + | 0.0237096i | ||||
\(671\) | −31.5126 | + | 31.5126i | −1.21653 | + | 1.21653i | ||||
\(672\) | −8.22855 | − | 20.1939i | −0.317423 | − | 0.778998i | ||||
\(673\) | 14.8015 | + | 8.54566i | 0.570557 | + | 0.329411i | 0.757372 | − | 0.652984i | \(-0.226483\pi\) |
−0.186815 | + | 0.982395i | \(0.559816\pi\) | |||||||
\(674\) | 5.88845 | − | 1.57781i | 0.226815 | − | 0.0607748i | ||||
\(675\) | 16.6686 | 0.641575 | ||||||||
\(676\) | −7.39185 | + | 15.0576i | −0.284302 | + | 0.579138i | ||||
\(677\) | − | 30.5733i | − | 1.17503i | −0.809214 | − | 0.587514i | \(-0.800107\pi\) | ||
0.809214 | − | 0.587514i | \(-0.199893\pi\) | |||||||
\(678\) | 4.72035 | − | 1.26481i | 0.181284 | − | 0.0485749i | ||||
\(679\) | −15.2587 | + | 19.6499i | −0.585575 | + | 0.754096i | ||||
\(680\) | 10.2591 | − | 5.92308i | 0.393417 | − | 0.227140i | ||||
\(681\) | 10.0966 | − | 10.0966i | 0.386902 | − | 0.386902i | ||||
\(682\) | −7.17436 | + | 26.7751i | −0.274720 | + | 1.02527i | ||||
\(683\) | 1.64019 | − | 6.12129i | 0.0627603 | − | 0.234224i | −0.927420 | − | 0.374022i | \(-0.877978\pi\) |
0.990180 | + | 0.139797i | \(0.0446451\pi\) | |||||||
\(684\) | 5.41891 | − | 5.41891i | 0.207197 | − | 0.207197i | ||||
\(685\) | 27.1644 | − | 15.6834i | 1.03790 | − | 0.599231i | ||||
\(686\) | −12.5403 | + | 9.28244i | −0.478790 | + | 0.354405i | ||||
\(687\) | 5.77337 | − | 1.54697i | 0.220268 | − | 0.0590206i | ||||
\(688\) | 0.824896i | 0.0314489i | ||||||||
\(689\) | −6.08135 | − | 19.9826i | −0.231681 | − | 0.761278i | ||||
\(690\) | −2.04221 | −0.0777455 | ||||||||
\(691\) | 4.60739 | − | 1.23455i | 0.175273 | − | 0.0469643i | −0.170115 | − | 0.985424i | \(-0.554414\pi\) |
0.345388 | + | 0.938460i | \(0.387747\pi\) | |||||||
\(692\) | −5.85280 | − | 3.37912i | −0.222490 | − | 0.128455i | ||||
\(693\) | 4.58361 | + | 11.2488i | 0.174117 | + | 0.427305i | ||||
\(694\) | −7.48665 | + | 7.48665i | −0.284189 | + | 0.284189i | ||||
\(695\) | −5.58774 | − | 1.49723i | −0.211955 | − | 0.0567932i | ||||
\(696\) | 21.3289 | + | 5.71506i | 0.808469 | + | 0.216629i | ||||
\(697\) | 10.2989 | + | 10.2989i | 0.390100 | + | 0.390100i | ||||
\(698\) | 13.5803 | − | 7.84061i | 0.514023 | − | 0.296771i | ||||
\(699\) | 4.53343 | − | 7.85213i | 0.171470 | − | 0.296995i | ||||
\(700\) | −1.25584 | − | 9.98339i | −0.0474663 | − | 0.377337i | ||||
\(701\) | − | 29.4647i | − | 1.11287i | −0.830892 | − | 0.556433i | \(-0.812169\pi\) | ||
0.830892 | − | 0.556433i | \(-0.187831\pi\) | |||||||
\(702\) | 9.08406 | + | 14.5790i | 0.342856 | + | 0.550250i | ||||
\(703\) | 35.1156i | 1.32441i | ||||||||
\(704\) | −5.46913 | − | 20.4111i | −0.206126 | − | 0.769271i | ||||
\(705\) | −10.3819 | − | 5.99398i | −0.391004 | − | 0.225746i | ||||
\(706\) | −2.63637 | − | 4.56632i | −0.0992209 | − | 0.171856i | ||||
\(707\) | −30.1205 | + | 22.8377i | −1.13280 | + | 0.858898i | ||||
\(708\) | −19.8944 | − | 5.33069i | −0.747677 | − | 0.200340i | ||||
\(709\) | −4.33842 | + | 16.1912i | −0.162933 | + | 0.608073i | 0.835362 | + | 0.549700i | \(0.185258\pi\) |
−0.998295 | + | 0.0583730i | \(0.981409\pi\) | |||||||
\(710\) | 2.81931 | − | 2.81931i | 0.105807 | − | 0.105807i | ||||
\(711\) | 3.28876 | + | 5.69631i | 0.123338 | + | 0.213628i | ||||
\(712\) | −0.340751 | + | 0.590198i | −0.0127702 | + | 0.0221186i | ||||
\(713\) | 2.07134 | + | 7.73035i | 0.0775723 | + | 0.289504i | ||||
\(714\) | −9.44037 | − | 1.29825i | −0.353297 | − | 0.0485858i | ||||
\(715\) | −5.67164 | + | 24.4239i | −0.212107 | + | 0.913402i | ||||
\(716\) | −29.1267 | −1.08852 | ||||||||
\(717\) | −15.3529 | + | 4.11379i | −0.573364 | + | 0.153632i | ||||
\(718\) | 0.992364 | − | 1.71882i | 0.0370347 | − | 0.0641460i | ||||
\(719\) | −8.96395 | − | 15.5260i | −0.334299 | − | 0.579023i | 0.649051 | − | 0.760745i | \(-0.275166\pi\) |
−0.983350 | + | 0.181722i | \(0.941833\pi\) | |||||||
\(720\) | −0.235274 | − | 0.235274i | −0.00876814 | − | 0.00876814i | ||||
\(721\) | 18.1698 | + | 7.64919i | 0.676680 | + | 0.284871i | ||||
\(722\) | 4.45463 | − | 16.6249i | 0.165784 | − | 0.618715i | ||||
\(723\) | 14.1705 | + | 14.1705i | 0.527007 | + | 0.527007i | ||||
\(724\) | 25.1205 | − | 14.5033i | 0.933597 | − | 0.539012i | ||||
\(725\) | 14.1876 | + | 8.19122i | 0.526914 | + | 0.304214i | ||||
\(726\) | −3.92534 | − | 14.6496i | −0.145683 | − | 0.543696i | ||||
\(727\) | −32.6548 | −1.21110 | −0.605549 | − | 0.795808i | \(-0.707046\pi\) | ||||
−0.605549 | + | 0.795808i | \(0.707046\pi\) | |||||||
\(728\) | 20.5211 | − | 16.6749i | 0.760563 | − | 0.618013i | ||||
\(729\) | −29.2988 | −1.08514 | ||||||||
\(730\) | 0.155948 | + | 0.582007i | 0.00577190 | + | 0.0215410i | ||||
\(731\) | 8.67885 | + | 5.01074i | 0.320999 | + | 0.185329i | ||||
\(732\) | −14.7043 | + | 8.48955i | −0.543488 | + | 0.313783i | ||||
\(733\) | 25.0843 | + | 25.0843i | 0.926510 | + | 0.926510i | 0.997479 | − | 0.0709685i | \(-0.0226090\pi\) |
−0.0709685 | + | 0.997479i | \(0.522609\pi\) | |||||||
\(734\) | 4.21456 | − | 15.7290i | 0.155562 | − | 0.580567i | ||||
\(735\) | 7.32982 | − | 12.3642i | 0.270365 | − | 0.456062i | ||||
\(736\) | −4.80059 | − | 4.80059i | −0.176952 | − | 0.176952i | ||||
\(737\) | 4.76816 | + | 8.25869i | 0.175637 | + | 0.304213i | ||||
\(738\) | −1.94521 | + | 3.36920i | −0.0716041 | + | 0.124022i | ||||
\(739\) | 13.8732 | − | 3.71731i | 0.510333 | − | 0.136743i | 0.00554159 | − | 0.999985i | \(-0.498236\pi\) |
0.504791 | + | 0.863241i | \(0.331569\pi\) | |||||||
\(740\) | 10.3378 | 0.380025 | ||||||||
\(741\) | −28.6316 | − | 15.2707i | −1.05181 | − | 0.560984i | ||||
\(742\) | −1.75913 | + | 12.7917i | −0.0645797 | + | 0.469599i | ||||
\(743\) | 6.76509 | + | 25.2477i | 0.248187 | + | 0.926247i | 0.971755 | + | 0.235993i | \(0.0758344\pi\) |
−0.723568 | + | 0.690254i | \(0.757499\pi\) | |||||||
\(744\) | −13.4652 | + | 23.3225i | −0.493659 | + | 0.855043i | ||||
\(745\) | −2.03206 | − | 3.51962i | −0.0744487 | − | 0.128949i | ||||
\(746\) | −4.97249 | + | 4.97249i | −0.182056 | + | 0.182056i | ||||
\(747\) | −1.11783 | + | 4.17178i | −0.0408991 | + | 0.152638i | ||||
\(748\) | 18.0466 | + | 4.83557i | 0.659849 | + | 0.176806i | ||||
\(749\) | 9.87224 | − | 7.48523i | 0.360724 | − | 0.273504i | ||||
\(750\) | −6.87380 | − | 11.9058i | −0.250996 | − | 0.434737i | ||||
\(751\) | 10.2898 | + | 5.94079i | 0.375479 | + | 0.216783i | 0.675849 | − | 0.737040i | \(-0.263777\pi\) |
−0.300371 | + | 0.953823i | \(0.597110\pi\) | |||||||
\(752\) | −0.371022 | − | 1.38467i | −0.0135298 | − | 0.0504938i | ||||
\(753\) | 37.7755i | 1.37662i | ||||||||
\(754\) | 0.567598 | + | 16.8731i | 0.0206707 | + | 0.614482i | ||||
\(755\) | 23.9866i | 0.872963i | ||||||||
\(756\) | 2.40962 | + | 19.1554i | 0.0876369 | + | 0.696676i | ||||
\(757\) | 21.1088 | − | 36.5615i | 0.767212 | − | 1.32885i | −0.171857 | − | 0.985122i | \(-0.554977\pi\) |
0.939069 | − | 0.343729i | \(-0.111690\pi\) | |||||||
\(758\) | 14.0919 | − | 8.13598i | 0.511842 | − | 0.295512i | ||||
\(759\) | −5.80765 | − | 5.80765i | −0.210805 | − | 0.210805i | ||||
\(760\) | −24.0869 | − | 6.45406i | −0.873723 | − | 0.234114i | ||||
\(761\) | 27.8046 | + | 7.45021i | 1.00792 | + | 0.270070i | 0.724758 | − | 0.689003i | \(-0.241952\pi\) |
0.283157 | + | 0.959074i | \(0.408618\pi\) | |||||||
\(762\) | 10.5358 | − | 10.5358i | 0.381670 | − | 0.381670i | ||||
\(763\) | −10.5404 | + | 4.29495i | −0.381587 | + | 0.155488i | ||||
\(764\) | −27.5682 | − | 15.9165i | −0.997383 | − | 0.575840i | ||||
\(765\) | −3.90449 | + | 1.04621i | −0.141167 | + | 0.0378257i | ||||
\(766\) | 19.8234 | 0.716249 | ||||||||
\(767\) | −1.35004 | − | 40.1328i | −0.0487470 | − | 1.44911i | ||||
\(768\) | − | 21.9372i | − | 0.791591i | ||||||
\(769\) | 33.9039 | − | 9.08451i | 1.22260 | − | 0.327596i | 0.410909 | − | 0.911676i | \(-0.365211\pi\) |
0.811696 | + | 0.584081i | \(0.198545\pi\) | |||||||
\(770\) | 9.50649 | − | 12.2423i | 0.342590 | − | 0.441183i | ||||
\(771\) | −13.3810 | + | 7.72550i | −0.481903 | + | 0.278227i | ||||
\(772\) | 3.13783 | − | 3.13783i | 0.112933 | − | 0.112933i | ||||
\(773\) | 7.86544 | − | 29.3542i | 0.282900 | − | 1.05580i | −0.667460 | − | 0.744646i | \(-0.732619\pi\) |
0.950360 | − | 0.311152i | \(-0.100715\pi\) | |||||||
\(774\) | −0.692815 | + | 2.58562i | −0.0249027 | + | 0.0929382i | ||||
\(775\) | −14.1281 | + | 14.1281i | −0.507496 | + | 0.507496i | ||||
\(776\) | −22.5725 | + | 13.0322i | −0.810304 | + | 0.467829i | ||||
\(777\) | −16.7488 | − | 13.0059i | −0.600861 | − | 0.466584i | ||||
\(778\) | −22.7505 | + | 6.09597i | −0.815643 | + | 0.218551i | ||||
\(779\) | − | 30.6596i | − | 1.09849i | ||||||
\(780\) | −4.49561 | + | 8.42896i | −0.160968 | + | 0.301805i | ||||
\(781\) | 16.0352 | 0.573783 | ||||||||
\(782\) | −2.86572 | + | 0.767867i | −0.102478 | + | 0.0274589i | ||||
\(783\) | −27.2222 | − | 15.7167i | −0.972842 | − | 0.561670i | ||||
\(784\) | 1.66524 | − | 0.425687i | 0.0594730 | − | 0.0152031i | ||||
\(785\) | 2.90613 | − | 2.90613i | 0.103724 | − | 0.103724i | ||||
\(786\) | −7.82979 | − | 2.09799i | −0.279279 | − | 0.0748327i | ||||
\(787\) | −9.81284 | − | 2.62934i | −0.349790 | − | 0.0937260i | 0.0796460 | − | 0.996823i | \(-0.474621\pi\) |
−0.429436 | + | 0.903097i | \(0.641288\pi\) | |||||||
\(788\) | −3.64289 | − | 3.64289i | −0.129772 | − | 0.129772i | ||||
\(789\) | −19.2280 | + | 11.1013i | −0.684536 | + | 0.395217i | ||||
\(790\) | 4.19664 | − | 7.26879i | 0.149310 | − | 0.258612i | ||||
\(791\) | 1.33652 | + | 10.6248i | 0.0475212 | + | 0.377773i | ||||
\(792\) | 12.7257i | 0.452189i | ||||||||
\(793\) | −24.1814 | − | 22.6075i | −0.858706 | − | 0.802814i | ||||
\(794\) | − | 10.1059i | − | 0.358646i | ||||||
\(795\) | −3.07878 | − | 11.4902i | −0.109193 | − | 0.407514i | ||||
\(796\) | 1.14326 | + | 0.660061i | 0.0405217 | + | 0.0233952i | ||||
\(797\) | 18.3972 | + | 31.8649i | 0.651662 | + | 1.12871i | 0.982719 | + | 0.185101i | \(0.0592613\pi\) |
−0.331057 | + | 0.943611i | \(0.607405\pi\) | |||||||
\(798\) | 12.1194 | + | 15.9843i | 0.429023 | + | 0.565837i | ||||
\(799\) | −16.8221 | − | 4.50746i | −0.595122 | − | 0.159462i | ||||
\(800\) | 4.38681 | − | 16.3718i | 0.155097 | − | 0.578831i | ||||
\(801\) | 0.164436 | − | 0.164436i | 0.00581004 | − | 0.00581004i | ||||
\(802\) | 8.33970 | + | 14.4448i | 0.294485 | + | 0.510063i | ||||
\(803\) | −1.21163 | + | 2.09860i | −0.0427575 | + | 0.0740582i | ||||
\(804\) | 0.940356 | + | 3.50946i | 0.0331638 | + | 0.123769i | ||||
\(805\) | 0.609676 | − | 4.43333i | 0.0214882 | − | 0.156254i | ||||
\(806\) | −20.0565 | − | 4.65746i | −0.706460 | − | 0.164052i | ||||
\(807\) | 37.4556 | 1.31850 | ||||||||
\(808\) | −38.2518 | + | 10.2495i | −1.34569 | + | 0.360577i | ||||
\(809\) | 9.38058 | − | 16.2476i | 0.329804 | − | 0.571237i | −0.652669 | − | 0.757643i | \(-0.726351\pi\) |
0.982473 | + | 0.186407i | \(0.0596841\pi\) | |||||||
\(810\) | 3.17900 | + | 5.50619i | 0.111699 | + | 0.193468i | ||||
\(811\) | −3.85841 | − | 3.85841i | −0.135487 | − | 0.135487i | 0.636111 | − | 0.771598i | \(-0.280542\pi\) |
−0.771598 | + | 0.636111i | \(0.780542\pi\) | |||||||
\(812\) | −7.36232 | + | 17.4884i | −0.258367 | + | 0.613723i | ||||
\(813\) | 2.44171 | − | 9.11258i | 0.0856344 | − | 0.319592i | ||||
\(814\) | −16.1696 | − | 16.1696i | −0.566744 | − | 0.566744i | ||||
\(815\) | −29.9009 | + | 17.2633i | −1.04738 | + | 0.604707i | ||||
\(816\) | 0.909141 | + | 0.524893i | 0.0318263 | + | 0.0183749i | ||||
\(817\) | −5.45994 | − | 20.3768i | −0.191019 | − | 0.712893i | ||||
\(818\) | −14.9967 | −0.524347 | ||||||||
\(819\) | −8.23642 | + | 3.68371i | −0.287804 | + | 0.128719i | ||||
\(820\) | −9.02599 | −0.315201 | ||||||||
\(821\) | −0.535196 | − | 1.99738i | −0.0186785 | − | 0.0697089i | 0.955958 | − | 0.293505i | \(-0.0948217\pi\) |
−0.974636 | + | 0.223796i | \(0.928155\pi\) | |||||||
\(822\) | −22.8929 | − | 13.2173i | −0.798483 | − | 0.461005i | ||||
\(823\) | −23.4776 | + | 13.5548i | −0.818379 | + | 0.472491i | −0.849857 | − | 0.527013i | \(-0.823312\pi\) |
0.0314782 | + | 0.999504i | \(0.489979\pi\) | |||||||
\(824\) | 14.6045 | + | 14.6045i | 0.508772 | + | 0.508772i | ||||
\(825\) | 5.30707 | − | 19.8063i | 0.184769 | − | 0.689566i | ||||
\(826\) | −9.63140 | + | 22.8784i | −0.335119 | + | 0.796041i | ||||
\(827\) | −18.8233 | − | 18.8233i | −0.654550 | − | 0.654550i | 0.299535 | − | 0.954085i | \(-0.403168\pi\) |
−0.954085 | + | 0.299535i | \(0.903168\pi\) | |||||||
\(828\) | 0.720409 | + | 1.24778i | 0.0250359 | + | 0.0433635i | ||||
\(829\) | −2.50749 | + | 4.34310i | −0.0870887 | + | 0.150842i | −0.906279 | − | 0.422679i | \(-0.861090\pi\) |
0.819191 | + | 0.573521i | \(0.194423\pi\) | |||||||
\(830\) | 5.32342 | − | 1.42641i | 0.184778 | − | 0.0495112i | ||||
\(831\) | 41.8177 | 1.45064 | ||||||||
\(832\) | 15.0162 | − | 4.56991i | 0.520594 | − | 0.158433i | ||||
\(833\) | 5.63661 | − | 20.1060i | 0.195297 | − | 0.696633i | ||||
\(834\) | 1.26180 | + | 4.70910i | 0.0436925 | + | 0.163063i | ||||
\(835\) | −7.02996 | + | 12.1762i | −0.243282 | + | 0.421376i | ||||
\(836\) | −19.6644 | − | 34.0598i | −0.680108 | − | 1.17798i | ||||
\(837\) | 27.1080 | − | 27.1080i | 0.936989 | − | 0.936989i | ||||
\(838\) | −2.02288 | + | 7.54949i | −0.0698792 | + | 0.260793i | ||||
\(839\) | −1.91166 | − | 0.512227i | −0.0659978 | − | 0.0176840i | 0.225669 | − | 0.974204i | \(-0.427543\pi\) |
−0.291667 | + | 0.956520i | \(0.594210\pi\) | |||||||
\(840\) | 11.9995 | − | 9.09813i | 0.414022 | − | 0.313915i | ||||
\(841\) | −0.946916 | − | 1.64011i | −0.0326523 | − | 0.0565554i | ||||
\(842\) | −13.6404 | − | 7.87529i | −0.470079 | − | 0.271400i | ||||
\(843\) | −4.64466 | − | 17.3341i | −0.159970 | − | 0.597018i | ||||
\(844\) | − | 6.96927i | − | 0.239892i | ||||||
\(845\) | −18.2735 | − | 3.60058i | −0.628628 | − | 0.123864i | ||||
\(846\) | − | 4.65184i | − | 0.159934i | ||||||
\(847\) | 32.9738 | − | 4.14787i | 1.13299 | − | 0.142523i | ||||
\(848\) | 0.711230 | − | 1.23189i | 0.0244238 | − | 0.0423032i | ||||
\(849\) | −39.6459 | + | 22.8896i | −1.36065 | + | 0.785569i | ||||
\(850\) | −5.23743 | − | 5.23743i | −0.179642 | − | 0.179642i | ||||
\(851\) | −6.37714 | − | 1.70875i | −0.218606 | − | 0.0585752i | ||||
\(852\) | 5.90109 | + | 1.58119i | 0.202168 | + | 0.0541708i | ||||
\(853\) | 0.494551 | − | 0.494551i | 0.0169331 | − | 0.0169331i | −0.698590 | − | 0.715523i | \(-0.746189\pi\) |
0.715523 | + | 0.698590i | \(0.246189\pi\) | |||||||
\(854\) | 7.72199 | + | 18.9508i | 0.264241 | + | 0.648482i | ||||
\(855\) | 7.36904 | + | 4.25452i | 0.252016 | + | 0.145502i | ||||
\(856\) | 12.5373 | − | 3.35937i | 0.428517 | − | 0.114821i | ||||
\(857\) | −15.3761 | −0.525236 | −0.262618 | − | 0.964900i | \(-0.584586\pi\) | ||||
−0.262618 | + | 0.964900i | \(0.584586\pi\) | |||||||
\(858\) | 20.2156 | − | 6.15225i | 0.690149 | − | 0.210034i | ||||
\(859\) | 33.1503i | 1.13108i | 0.824723 | + | 0.565538i | \(0.191331\pi\) | ||||
−0.824723 | + | 0.565538i | \(0.808669\pi\) | |||||||
\(860\) | −5.99879 | + | 1.60737i | −0.204557 | + | 0.0548109i | ||||
\(861\) | 14.6235 | + | 11.3555i | 0.498367 | + | 0.386995i | ||||
\(862\) | −4.32513 | + | 2.49712i | −0.147315 | + | 0.0850521i | ||||
\(863\) | 18.6818 | − | 18.6818i | 0.635935 | − | 0.635935i | −0.313615 | − | 0.949550i | \(-0.601540\pi\) |
0.949550 | + | 0.313615i | \(0.101540\pi\) | |||||||
\(864\) | −8.41711 | + | 31.4131i | −0.286356 | + | 1.06869i | ||||
\(865\) | 1.94215 | − | 7.24822i | 0.0660352 | − | 0.246447i | ||||
\(866\) | −7.53407 | + | 7.53407i | −0.256018 | + | 0.256018i | ||||
\(867\) | −10.0558 | + | 5.80571i | −0.341513 | + | 0.197172i | ||||
\(868\) | −18.2782 | − | 14.1935i | −0.620404 | − | 0.481760i | ||||
\(869\) | 32.6055 | − | 8.73662i | 1.10607 | − | 0.296370i | ||||
\(870\) | 9.61472i | 0.325969i | ||||||||
\(871\) | −6.01203 | + | 3.74604i | −0.203710 | + | 0.126930i | ||||
\(872\) | −11.9243 | −0.403808 | ||||||||
\(873\) | 8.59084 | − | 2.30191i | 0.290756 | − | 0.0779078i | ||||
\(874\) | 5.40854 | + | 3.12262i | 0.182947 | + | 0.105624i | ||||
\(875\) | 27.8977 | − | 11.3677i | 0.943115 | − | 0.384297i | ||||
\(876\) | −0.652830 | + | 0.652830i | −0.0220571 | + | 0.0220571i | ||||
\(877\) | −13.9428 | − | 3.73595i | −0.470813 | − | 0.126154i | 0.0156084 | − | 0.999878i | \(-0.495031\pi\) |
−0.486422 | + | 0.873724i | \(0.661698\pi\) | |||||||
\(878\) | −20.9595 | − | 5.61608i | −0.707349 | − | 0.189534i | ||||
\(879\) | −13.0964 | − | 13.0964i | −0.441729 | − | 0.441729i | ||||
\(880\) | −1.47878 | + | 0.853774i | −0.0498497 | + | 0.0287807i | ||||
\(881\) | 2.13690 | − | 3.70122i | 0.0719941 | − | 0.124697i | −0.827781 | − | 0.561051i | \(-0.810397\pi\) |
0.899775 | + | 0.436354i | \(0.143730\pi\) | |||||||
\(882\) | 5.57720 | + | 0.0642978i | 0.187794 | + | 0.00216502i | ||||
\(883\) | 32.6002i | 1.09708i | 0.836123 | + | 0.548542i | \(0.184817\pi\) | ||||
−0.836123 | + | 0.548542i | \(0.815183\pi\) | |||||||
\(884\) | −3.13916 | + | 13.5182i | −0.105581 | + | 0.454667i | ||||
\(885\) | − | 22.8687i | − | 0.768722i | ||||||
\(886\) | 3.75985 | + | 14.0319i | 0.126315 | + | 0.471412i | ||||
\(887\) | 15.4078 | + | 8.89570i | 0.517343 | + | 0.298688i | 0.735847 | − | 0.677148i | \(-0.236784\pi\) |
−0.218504 | + | 0.975836i | \(0.570118\pi\) | |||||||
\(888\) | −11.1081 | − | 19.2399i | −0.372765 | − | 0.645648i | ||||
\(889\) | 19.7262 | + | 26.0169i | 0.661597 | + | 0.872578i | ||||
\(890\) | −0.286631 | − | 0.0768025i | −0.00960789 | − | 0.00257443i | ||||
\(891\) | −6.61809 | + | 24.6990i | −0.221714 | + | 0.827449i | ||||
\(892\) | −15.6930 | + | 15.6930i | −0.525440 | + | 0.525440i | ||||
\(893\) | 18.3301 | + | 31.7487i | 0.613394 | + | 1.06243i | ||||
\(894\) | −1.71252 | + | 2.96618i | −0.0572754 | + | 0.0992039i | ||||
\(895\) | −8.37031 | − | 31.2384i | −0.279789 | − | 1.04418i | ||||
\(896\) | 20.5329 | + | 2.82370i | 0.685955 | + | 0.0943332i | ||||
\(897\) | 4.16647 | − | 4.45654i | 0.139114 | − | 0.148799i | ||||
\(898\) | −4.90976 | −0.163841 | ||||||||
\(899\) | 36.3945 | − | 9.75187i | 1.21382 | − | 0.325243i | ||||
\(900\) | −1.79855 | + | 3.11518i | −0.0599516 | + | 0.103839i | ||||
\(901\) | −8.64057 | − | 14.9659i | −0.287859 | − | 0.498587i | ||||
\(902\) | 14.1178 | + | 14.1178i | 0.470070 | + | 0.470070i | ||||
\(903\) | 11.7412 | + | 4.94283i | 0.390722 | + | 0.164487i | ||||
\(904\) | −2.90366 | + | 10.8366i | −0.0965744 | + | 0.360421i | ||||
\(905\) | 22.7739 | + | 22.7739i | 0.757029 | + | 0.757029i | ||||
\(906\) | 17.5066 | − | 10.1074i | 0.581617 | − | 0.335797i | ||||
\(907\) | 28.0724 | + | 16.2076i | 0.932129 | + | 0.538165i | 0.887484 | − | 0.460838i | \(-0.152451\pi\) |
0.0446448 | + | 0.999003i | \(0.485784\pi\) | |||||||
\(908\) | 3.32708 | + | 12.4168i | 0.110413 | + | 0.412067i | ||||
\(909\) | 13.5130 | 0.448197 | ||||||||
\(910\) | 9.32590 | + | 6.75172i | 0.309151 | + | 0.223817i | ||||
\(911\) | −15.2599 | −0.505585 | −0.252792 | − | 0.967521i | \(-0.581349\pi\) | ||||
−0.252792 | + | 0.967521i | \(0.581349\pi\) | |||||||
\(912\) | −0.571948 | − | 2.13454i | −0.0189391 | − | 0.0706816i | ||||
\(913\) | 19.1952 | + | 11.0824i | 0.635269 | + | 0.366773i | ||||
\(914\) | −16.1997 | + | 9.35288i | −0.535838 | + | 0.309366i | ||||
\(915\) | −13.3307 | − | 13.3307i | −0.440700 | − | 0.440700i | ||||
\(916\) | −1.39271 | + | 5.19765i | −0.0460163 | + | 0.171735i | ||||
\(917\) | 6.89190 | − | 16.3710i | 0.227591 | − | 0.540617i | ||||
\(918\) | 10.0492 | + | 10.0492i | 0.331673 | + | 0.331673i | ||||
\(919\) | −6.10555 | − | 10.5751i | −0.201404 | − | 0.348841i | 0.747577 | − | 0.664175i | \(-0.231217\pi\) |
−0.948981 | + | 0.315334i | \(0.897884\pi\) | |||||||
\(920\) | 2.34417 | − | 4.06022i | 0.0772851 | − | 0.133862i | ||||
\(921\) | 10.6217 | − | 2.84606i | 0.349995 | − | 0.0937810i | ||||
\(922\) | 17.9700 | 0.591811 | ||||||||
\(923\) | 0.400449 | + | 11.9042i | 0.0131809 | + | 0.391832i | ||||
\(924\) | 23.5284 | + | 3.23565i | 0.774028 | + | 0.106445i | ||||
\(925\) | −4.26601 | − | 15.9210i | −0.140266 | − | 0.523478i | ||||
\(926\) | 3.06574 | − | 5.31002i | 0.100747 | − | 0.174498i | ||||
\(927\) | −3.52384 | − | 6.10346i | −0.115738 | − | 0.200464i | ||||
\(928\) | −22.6012 | + | 22.6012i | −0.741920 | + | 0.741920i | ||||
\(929\) | −9.42897 | + | 35.1894i | −0.309354 | + | 1.15453i | 0.619777 | + | 0.784778i | \(0.287223\pi\) |
−0.929132 | + | 0.369749i | \(0.879444\pi\) | |||||||
\(930\) | −11.3266 | − | 3.03496i | −0.371414 | − | 0.0995201i | ||||
\(931\) | −38.3176 | + | 21.5376i | −1.25581 | + | 0.705865i | ||||
\(932\) | 4.08135 | + | 7.06911i | 0.133689 | + | 0.231556i | ||||
\(933\) | 0.599976 | + | 0.346396i | 0.0196423 | + | 0.0113405i | ||||
\(934\) | −6.21639 | − | 23.1999i | −0.203407 | − | 0.759124i | ||||
\(935\) | 20.7446i | 0.678421i | ||||||||
\(936\) | −9.44736 | + | 0.317802i | −0.308797 | + | 0.0103877i | ||||
\(937\) | − | 37.8200i | − | 1.23553i | −0.786365 | − | 0.617763i | \(-0.788039\pi\) | ||
0.786365 | − | 0.617763i | \(-0.211961\pi\) | |||||||
\(938\) | 4.34465 | − | 0.546526i | 0.141858 | − | 0.0178447i | ||||
\(939\) | 0.319131 | − | 0.552750i | 0.0104144 | − | 0.0180383i | ||||
\(940\) | 9.34660 | − | 5.39626i | 0.304853 | − | 0.176007i | ||||
\(941\) | −17.5606 | − | 17.5606i | −0.572458 | − | 0.572458i | 0.360357 | − | 0.932815i | \(-0.382655\pi\) |
−0.932815 | + | 0.360357i | \(0.882655\pi\) | |||||||
\(942\) | −3.34561 | − | 0.896453i | −0.109006 | − | 0.0292080i | ||||
\(943\) | 5.56792 | + | 1.49192i | 0.181316 | + | 0.0485836i | ||||
\(944\) | 1.93368 | − | 1.93368i | 0.0629358 | − | 0.0629358i | ||||
\(945\) | −19.8518 | + | 8.08913i | −0.645778 | + | 0.263139i | ||||
\(946\) | 11.8970 | + | 6.86871i | 0.386804 | + | 0.223321i | ||||
\(947\) | −24.3265 | + | 6.51827i | −0.790505 | + | 0.211815i | −0.631411 | − | 0.775448i | \(-0.717524\pi\) |
−0.159094 | + | 0.987263i | \(0.550857\pi\) | |||||||
\(948\) | 12.8606 | 0.417694 | ||||||||
\(949\) | −1.58823 | − | 0.847084i | −0.0515560 | − | 0.0274975i | ||||
\(950\) | 15.5917i | 0.505860i | ||||||||
\(951\) | 34.3773 | − | 9.21137i | 1.11476 | − | 0.298699i | ||||
\(952\) | 13.4174 | − | 17.2787i | 0.434859 | − | 0.560006i | ||||
\(953\) | 15.6650 | − | 9.04419i | 0.507439 | − | 0.292970i | −0.224341 | − | 0.974511i | \(-0.572023\pi\) |
0.731780 | + | 0.681541i | \(0.238690\pi\) | |||||||
\(954\) | 3.26398 | − | 3.26398i | 0.105675 | − | 0.105675i | ||||
\(955\) | 9.14805 | − | 34.1410i | 0.296024 | − | 1.10478i | ||||
\(956\) | 3.70357 | − | 13.8219i | 0.119782 | − | 0.447032i | ||||
\(957\) | −27.3424 | + | 27.3424i | −0.883855 | + | 0.883855i | ||||
\(958\) | −24.0194 | + | 13.8676i | −0.776033 | + | 0.448043i | ||||
\(959\) | 35.5271 | − | 45.7513i | 1.14723 | − | 1.47739i | ||||
\(960\) | 8.63446 | − | 2.31360i | 0.278676 | − | 0.0746710i | ||||
\(961\) | 14.9527i | 0.482346i | ||||||||
\(962\) | 11.6002 | − | 12.4078i | 0.374006 | − | 0.400045i | ||||
\(963\) | −4.42899 | −0.142722 | ||||||||
\(964\) | −17.4270 | + | 4.66954i | −0.561285 | + | 0.150396i | ||||
\(965\) | 4.26706 | + | 2.46359i | 0.137361 | + | 0.0793057i | ||||
\(966\) | −3.49255 | + | 1.42313i | −0.112371 | + | 0.0457886i | ||||
\(967\) | −2.32489 | + | 2.32489i | −0.0747635 | + | 0.0747635i | −0.743500 | − | 0.668736i | \(-0.766836\pi\) |
0.668736 | + | 0.743500i | \(0.266836\pi\) | |||||||
\(968\) | 33.6313 | + | 9.01148i | 1.08095 | + | 0.289640i | ||||
\(969\) | −25.9320 | − | 6.94846i | −0.833056 | − | 0.223217i | ||||
\(970\) | −8.02501 | − | 8.02501i | −0.257667 | − | 0.257667i | ||||
\(971\) | 12.8317 | − | 7.40841i | 0.411790 | − | 0.237747i | −0.279768 | − | 0.960068i | \(-0.590258\pi\) |
0.691559 | + | 0.722320i | \(0.256924\pi\) | |||||||
\(972\) | 6.07466 | − | 10.5216i | 0.194845 | − | 0.337481i | ||||
\(973\) | −10.5994 | + | 1.33333i | −0.339802 | + | 0.0427447i | ||||
\(974\) | 11.9408i | 0.382609i | ||||||||
\(975\) | 14.8364 | + | 3.44525i | 0.475144 | + | 0.110336i | ||||
\(976\) | − | 2.25438i | − | 0.0721608i | ||||||
\(977\) | −4.87838 | − | 18.2064i | −0.156073 | − | 0.582474i | −0.999011 | − | 0.0444625i | \(-0.985842\pi\) |
0.842938 | − | 0.538011i | \(-0.180824\pi\) | |||||||
\(978\) | 25.1992 | + | 14.5487i | 0.805780 | + | 0.465217i | ||||
\(979\) | −0.596712 | − | 1.03354i | −0.0190710 | − | 0.0330320i | ||||
\(980\) | 6.34052 | + | 11.2804i | 0.202540 | + | 0.360341i | ||||
\(981\) | 3.93025 | + | 1.05311i | 0.125483 | + | 0.0336231i | ||||
\(982\) | 6.49024 | − | 24.2219i | 0.207112 | − | 0.772952i | ||||
\(983\) | −3.43860 | + | 3.43860i | −0.109674 | + | 0.109674i | −0.759814 | − | 0.650140i | \(-0.774710\pi\) |
0.650140 | + | 0.759814i | \(0.274710\pi\) | |||||||
\(984\) | 9.69857 | + | 16.7984i | 0.309179 | + | 0.535514i | ||||
\(985\) | 2.86012 | − | 4.95388i | 0.0911311 | − | 0.157844i | ||||
\(986\) | 3.61512 | + | 13.4918i | 0.115129 | + | 0.429666i | ||||
\(987\) | −21.9319 | − | 3.01610i | −0.698101 | − | 0.0960035i | ||||
\(988\) | 24.7943 | − | 15.4491i | 0.788812 | − | 0.491501i | ||||
\(989\) | 3.96619 | 0.126118 | ||||||||
\(990\) | −5.35228 | + | 1.43414i | −0.170106 | + | 0.0455799i | ||||
\(991\) | 8.04617 | − | 13.9364i | 0.255595 | − | 0.442703i | −0.709462 | − | 0.704744i | \(-0.751062\pi\) |
0.965057 | + | 0.262040i | \(0.0843953\pi\) | |||||||
\(992\) | −19.4911 | − | 33.7595i | −0.618842 | − | 1.07187i | ||||
\(993\) | 15.0898 | + | 15.0898i | 0.478862 | + | 0.478862i | ||||
\(994\) | 2.85687 | − | 6.78620i | 0.0906145 | − | 0.215245i | ||||
\(995\) | −0.379371 | + | 1.41583i | −0.0120269 | + | 0.0448849i | ||||
\(996\) | 5.97122 | + | 5.97122i | 0.189205 | + | 0.189205i | ||||
\(997\) | −22.1768 | + | 12.8038i | −0.702346 | + | 0.405500i | −0.808221 | − | 0.588880i | \(-0.799569\pi\) |
0.105875 | + | 0.994379i | \(0.466236\pi\) | |||||||
\(998\) | 13.4844 | + | 7.78523i | 0.426842 | + | 0.246437i | ||||
\(999\) | 8.18532 | + | 30.5480i | 0.258972 | + | 0.966497i |
(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 | 91.2.bc.a.6.5 | ✓ | 32 | |
3.2 | odd | 2 | 819.2.fm.g.370.3 | 32 | |||
7.2 | even | 3 | 637.2.bb.b.227.6 | 32 | |||
7.3 | odd | 6 | 637.2.x.b.19.3 | 32 | |||
7.4 | even | 3 | 637.2.x.b.19.4 | 32 | |||
7.5 | odd | 6 | 637.2.bb.b.227.5 | 32 | |||
7.6 | odd | 2 | inner | 91.2.bc.a.6.6 | yes | 32 | |
13.11 | odd | 12 | inner | 91.2.bc.a.76.6 | yes | 32 | |
21.20 | even | 2 | 819.2.fm.g.370.4 | 32 | |||
39.11 | even | 12 | 819.2.fm.g.622.4 | 32 | |||
91.11 | odd | 12 | 637.2.bb.b.362.5 | 32 | |||
91.24 | even | 12 | 637.2.bb.b.362.6 | 32 | |||
91.37 | odd | 12 | 637.2.x.b.570.4 | 32 | |||
91.76 | even | 12 | inner | 91.2.bc.a.76.5 | yes | 32 | |
91.89 | even | 12 | 637.2.x.b.570.3 | 32 | |||
273.167 | odd | 12 | 819.2.fm.g.622.3 | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
91.2.bc.a.6.5 | ✓ | 32 | 1.1 | even | 1 | trivial | |
91.2.bc.a.6.6 | yes | 32 | 7.6 | odd | 2 | inner | |
91.2.bc.a.76.5 | yes | 32 | 91.76 | even | 12 | inner | |
91.2.bc.a.76.6 | yes | 32 | 13.11 | odd | 12 | inner | |
637.2.x.b.19.3 | 32 | 7.3 | odd | 6 | |||
637.2.x.b.19.4 | 32 | 7.4 | even | 3 | |||
637.2.x.b.570.3 | 32 | 91.89 | even | 12 | |||
637.2.x.b.570.4 | 32 | 91.37 | odd | 12 | |||
637.2.bb.b.227.5 | 32 | 7.5 | odd | 6 | |||
637.2.bb.b.227.6 | 32 | 7.2 | even | 3 | |||
637.2.bb.b.362.5 | 32 | 91.11 | odd | 12 | |||
637.2.bb.b.362.6 | 32 | 91.24 | even | 12 | |||
819.2.fm.g.370.3 | 32 | 3.2 | odd | 2 | |||
819.2.fm.g.370.4 | 32 | 21.20 | even | 2 | |||
819.2.fm.g.622.3 | 32 | 273.167 | odd | 12 | |||
819.2.fm.g.622.4 | 32 | 39.11 | even | 12 |