Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [231,2,Mod(32,231)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(231, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 4, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("231.32");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 231 = 3 \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 231.l (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: | \(1.84454428669\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(24\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 32.1 | ||
Character | \(\chi\) | \(=\) | 231.32 |
Dual form | 231.2.l.b.65.1 |
$q$-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 \(\left(\mathbb{Z}/231\mathbb{Z}\right)^\times\).
\(n\) | \(155\) | \(199\) | \(211\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{2}{3}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.36539 | − | 2.36492i | −0.965476 | − | 1.67225i | −0.708330 | − | 0.705881i | \(-0.750551\pi\) |
−0.257146 | − | 0.966372i | \(-0.582782\pi\) | |||||||
\(3\) | −0.516280 | − | 1.65332i | −0.298075 | − | 0.954543i | ||||
\(4\) | −2.72858 | + | 4.72604i | −1.36429 | + | 2.36302i | ||||
\(5\) | −1.96785 | + | 1.13614i | −0.880047 | + | 0.508095i | −0.870674 | − | 0.491861i | \(-0.836317\pi\) |
−0.00937323 | + | 0.999956i | \(0.502984\pi\) | |||||||
\(6\) | −3.20504 | + | 3.47838i | −1.30845 | + | 1.42004i | ||||
\(7\) | −1.90462 | − | 1.83641i | −0.719879 | − | 0.694099i | ||||
\(8\) | 9.44073 | 3.33780 | ||||||||
\(9\) | −2.46691 | + | 1.70715i | −0.822303 | + | 0.569050i | ||||
\(10\) | 5.37375 | + | 3.10254i | 1.69933 | + | 0.981108i | ||||
\(11\) | 3.29051 | + | 0.415348i | 0.992127 | + | 0.125232i | ||||
\(12\) | 9.22234 | + | 2.07124i | 2.66226 | + | 0.597916i | ||||
\(13\) | 0.322402i | 0.0894182i | 0.999000 | + | 0.0447091i | \(0.0142361\pi\) | ||||
−0.999000 | + | 0.0447091i | \(0.985764\pi\) | |||||||
\(14\) | −1.74243 | + | 7.01171i | −0.465684 | + | 1.87396i | ||||
\(15\) | 2.89435 | + | 2.66691i | 0.747318 | + | 0.688592i | ||||
\(16\) | −7.43312 | − | 12.8745i | −1.85828 | − | 3.21863i | ||||
\(17\) | −1.73168 | + | 2.99936i | −0.419995 | + | 0.727452i | −0.995938 | − | 0.0900373i | \(-0.971301\pi\) |
0.575944 | + | 0.817489i | \(0.304635\pi\) | |||||||
\(18\) | 7.40557 | + | 3.50313i | 1.74551 | + | 0.825696i | ||||
\(19\) | −3.16643 | + | 1.82814i | −0.726428 | + | 0.419403i | −0.817114 | − | 0.576476i | \(-0.804427\pi\) |
0.0906861 | + | 0.995880i | \(0.471094\pi\) | |||||||
\(20\) | − | 12.4001i | − | 2.77276i | ||||||
\(21\) | −2.05285 | + | 4.09705i | −0.447969 | + | 0.894049i | ||||
\(22\) | −3.51057 | − | 8.34893i | −0.748456 | − | 1.78000i | ||||
\(23\) | 2.67391 | − | 1.54378i | 0.557550 | − | 0.321901i | −0.194612 | − | 0.980880i | \(-0.562345\pi\) |
0.752161 | + | 0.658979i | \(0.229011\pi\) | |||||||
\(24\) | −4.87406 | − | 15.6085i | −0.994914 | − | 3.18607i | ||||
\(25\) | 0.0816103 | − | 0.141353i | 0.0163221 | − | 0.0282706i | ||||
\(26\) | 0.762456 | − | 0.440204i | 0.149530 | − | 0.0863312i | ||||
\(27\) | 4.09607 | + | 3.19721i | 0.788290 | + | 0.615304i | ||||
\(28\) | 13.8759 | − | 3.99051i | 2.62229 | − | 0.754136i | ||||
\(29\) | −6.42308 | −1.19274 | −0.596368 | − | 0.802711i | \(-0.703390\pi\) | ||||
−0.596368 | + | 0.802711i | \(0.703390\pi\) | |||||||
\(30\) | 2.35511 | − | 10.4863i | 0.429983 | − | 1.91453i | ||||
\(31\) | −2.42106 | + | 4.19340i | −0.434835 | + | 0.753156i | −0.997282 | − | 0.0736770i | \(-0.976527\pi\) |
0.562447 | + | 0.826833i | \(0.309860\pi\) | |||||||
\(32\) | −10.8575 | + | 18.8057i | −1.91935 | + | 3.32441i | ||||
\(33\) | −1.01213 | − | 5.65470i | −0.176189 | − | 0.984356i | ||||
\(34\) | 9.45768 | 1.62198 | ||||||||
\(35\) | 5.83442 | + | 1.44987i | 0.986197 | + | 0.245073i | ||||
\(36\) | −1.33689 | − | 16.3168i | −0.222816 | − | 2.71947i | ||||
\(37\) | −0.690076 | − | 1.19525i | −0.113448 | − | 0.196497i | 0.803710 | − | 0.595021i | \(-0.202856\pi\) |
−0.917158 | + | 0.398523i | \(0.869523\pi\) | |||||||
\(38\) | 8.64681 | + | 4.99224i | 1.40270 | + | 0.809848i | ||||
\(39\) | 0.533032 | − | 0.166450i | 0.0853535 | − | 0.0266533i | ||||
\(40\) | −18.5779 | + | 10.7260i | −2.93742 | + | 1.69592i | ||||
\(41\) | −3.42022 | −0.534149 | −0.267074 | − | 0.963676i | \(-0.586057\pi\) | ||||
−0.267074 | + | 0.963676i | \(0.586057\pi\) | |||||||
\(42\) | 12.4922 | − | 0.739221i | 1.92758 | − | 0.114064i | ||||
\(43\) | 5.82380i | 0.888122i | 0.895997 | + | 0.444061i | \(0.146463\pi\) | ||||
−0.895997 | + | 0.444061i | \(0.853537\pi\) | |||||||
\(44\) | −10.9414 | + | 14.4178i | −1.64947 | + | 2.17356i | ||||
\(45\) | 2.91494 | − | 6.16215i | 0.434534 | − | 0.918599i | ||||
\(46\) | −7.30187 | − | 4.21574i | −1.07660 | − | 0.621576i | ||||
\(47\) | −2.37383 | + | 1.37053i | −0.346259 | + | 0.199913i | −0.663036 | − | 0.748587i | \(-0.730733\pi\) |
0.316777 | + | 0.948500i | \(0.397399\pi\) | |||||||
\(48\) | −17.4481 | + | 18.9362i | −2.51842 | + | 2.73320i | ||||
\(49\) | 0.255169 | + | 6.99535i | 0.0364527 | + | 0.999335i | ||||
\(50\) | −0.445719 | −0.0630342 | ||||||||
\(51\) | 5.85293 | + | 1.31451i | 0.819574 | + | 0.184068i | ||||
\(52\) | −1.52368 | − | 0.879699i | −0.211297 | − | 0.121992i | ||||
\(53\) | 0.824148 | + | 0.475822i | 0.113205 | + | 0.0653592i | 0.555534 | − | 0.831494i | \(-0.312514\pi\) |
−0.442328 | + | 0.896853i | \(0.645847\pi\) | |||||||
\(54\) | 1.96843 | − | 14.0523i | 0.267869 | − | 1.91228i | ||||
\(55\) | −6.94712 | + | 2.92113i | −0.936749 | + | 0.393885i | ||||
\(56\) | −17.9810 | − | 17.3371i | −2.40281 | − | 2.31677i | ||||
\(57\) | 4.65725 | + | 4.29127i | 0.616868 | + | 0.568393i | ||||
\(58\) | 8.77001 | + | 15.1901i | 1.15156 | + | 1.99456i | ||||
\(59\) | −9.17594 | − | 5.29773i | −1.19461 | − | 0.689706i | −0.235258 | − | 0.971933i | \(-0.575594\pi\) |
−0.959348 | + | 0.282227i | \(0.908927\pi\) | |||||||
\(60\) | −20.5014 | + | 6.40195i | −2.64671 | + | 0.826488i | ||||
\(61\) | 0.0609060 | − | 0.0351641i | 0.00779821 | − | 0.00450230i | −0.496096 | − | 0.868268i | \(-0.665234\pi\) |
0.503894 | + | 0.863765i | \(0.331900\pi\) | |||||||
\(62\) | 13.2228 | 1.67929 | ||||||||
\(63\) | 7.83356 | + | 1.27879i | 0.986936 | + | 0.161113i | ||||
\(64\) | 29.5663 | 3.69578 | ||||||||
\(65\) | −0.366293 | − | 0.634437i | −0.0454330 | − | 0.0786923i | ||||
\(66\) | −11.9910 | + | 10.1145i | −1.47599 | + | 1.24500i | ||||
\(67\) | 0.262919 | − | 0.455390i | 0.0321207 | − | 0.0556347i | −0.849518 | − | 0.527559i | \(-0.823107\pi\) |
0.881639 | + | 0.471925i | \(0.156441\pi\) | |||||||
\(68\) | −9.45006 | − | 16.3680i | −1.14599 | − | 1.98491i | ||||
\(69\) | −3.93285 | − | 3.62380i | −0.473460 | − | 0.436254i | ||||
\(70\) | −4.53742 | − | 15.7776i | −0.542326 | − | 1.88578i | ||||
\(71\) | 2.71669i | 0.322412i | 0.986921 | + | 0.161206i | \(0.0515383\pi\) | ||||
−0.986921 | + | 0.161206i | \(0.948462\pi\) | |||||||
\(72\) | −23.2894 | + | 16.1167i | −2.74468 | + | 1.89938i | ||||
\(73\) | −3.18693 | − | 1.83997i | −0.373002 | − | 0.215353i | 0.301767 | − | 0.953382i | \(-0.402423\pi\) |
−0.674769 | + | 0.738029i | \(0.735757\pi\) | |||||||
\(74\) | −1.88445 | + | 3.26395i | −0.219062 | + | 0.379427i | ||||
\(75\) | −0.275835 | − | 0.0619497i | −0.0318507 | − | 0.00715334i | ||||
\(76\) | − | 19.9529i | − | 2.28875i | ||||||
\(77\) | −5.50444 | − | 6.83383i | −0.627289 | − | 0.778787i | ||||
\(78\) | −1.12144 | − | 1.03331i | −0.126978 | − | 0.117000i | ||||
\(79\) | 4.08512 | − | 2.35855i | 0.459612 | − | 0.265357i | −0.252269 | − | 0.967657i | \(-0.581177\pi\) |
0.711881 | + | 0.702300i | \(0.247843\pi\) | |||||||
\(80\) | 29.2545 | + | 16.8901i | 3.27075 | + | 1.88837i | ||||
\(81\) | 3.17128 | − | 8.42276i | 0.352365 | − | 0.935863i | ||||
\(82\) | 4.66993 | + | 8.08856i | 0.515708 | + | 0.893232i | ||||
\(83\) | −2.50100 | −0.274521 | −0.137260 | − | 0.990535i | \(-0.543830\pi\) | ||||
−0.137260 | + | 0.990535i | \(0.543830\pi\) | |||||||
\(84\) | −13.7614 | − | 20.8810i | −1.50149 | − | 2.27830i | ||||
\(85\) | − | 7.86971i | − | 0.853589i | ||||||
\(86\) | 13.7729 | − | 7.95176i | 1.48517 | − | 0.857461i | ||||
\(87\) | 3.31611 | + | 10.6194i | 0.355525 | + | 1.13852i | ||||
\(88\) | 31.0649 | + | 3.92119i | 3.31152 | + | 0.418000i | ||||
\(89\) | 2.19690 | − | 1.26838i | 0.232871 | − | 0.134448i | −0.379025 | − | 0.925386i | \(-0.623741\pi\) |
0.611896 | + | 0.790939i | \(0.290407\pi\) | |||||||
\(90\) | −18.5531 | + | 1.52012i | −1.95566 | + | 0.160235i | ||||
\(91\) | 0.592063 | − | 0.614054i | 0.0620651 | − | 0.0643703i | ||||
\(92\) | 16.8493i | 1.75667i | ||||||||
\(93\) | 8.18295 | + | 1.83781i | 0.848533 | + | 0.190572i | ||||
\(94\) | 6.48242 | + | 3.74262i | 0.668610 | + | 0.386022i | ||||
\(95\) | 4.15402 | − | 7.19498i | 0.426194 | − | 0.738189i | ||||
\(96\) | 36.6973 | + | 8.24183i | 3.74540 | + | 0.841178i | ||||
\(97\) | −14.2665 | −1.44854 | −0.724270 | − | 0.689516i | \(-0.757823\pi\) | ||||
−0.724270 | + | 0.689516i | \(0.757823\pi\) | |||||||
\(98\) | 16.1951 | − | 10.1548i | 1.63595 | − | 1.02579i | ||||
\(99\) | −8.82646 | + | 4.59277i | −0.887093 | + | 0.461591i | ||||
\(100\) | 0.445360 | + | 0.771386i | 0.0445360 | + | 0.0771386i | ||||
\(101\) | −5.03424 | + | 8.71956i | −0.500926 | + | 0.867628i | 0.499074 | + | 0.866559i | \(0.333674\pi\) |
−0.999999 | + | 0.00106906i | \(0.999660\pi\) | |||||||
\(102\) | −4.88282 | − | 15.6365i | −0.483471 | − | 1.54825i | ||||
\(103\) | −3.62011 | − | 6.27022i | −0.356700 | − | 0.617823i | 0.630707 | − | 0.776021i | \(-0.282765\pi\) |
−0.987407 | + | 0.158198i | \(0.949432\pi\) | |||||||
\(104\) | 3.04371i | 0.298460i | ||||||||
\(105\) | −0.615103 | − | 10.3947i | −0.0600279 | − | 1.01442i | ||||
\(106\) | − | 2.59873i | − | 0.252411i | ||||||
\(107\) | 3.48610 | + | 6.03810i | 0.337014 | + | 0.583725i | 0.983870 | − | 0.178887i | \(-0.0572498\pi\) |
−0.646856 | + | 0.762612i | \(0.723916\pi\) | |||||||
\(108\) | −26.2866 | + | 10.6343i | −2.52943 | + | 1.02329i | ||||
\(109\) | −17.3546 | − | 10.0197i | −1.66227 | − | 0.959711i | −0.971629 | − | 0.236511i | \(-0.923996\pi\) |
−0.690639 | − | 0.723200i | \(-0.742670\pi\) | |||||||
\(110\) | 16.3938 | + | 12.4409i | 1.56309 | + | 1.18620i | ||||
\(111\) | −1.61985 | + | 1.75800i | −0.153749 | + | 0.166862i | ||||
\(112\) | −9.48570 | + | 38.1714i | −0.896314 | + | 3.60686i | ||||
\(113\) | − | 12.1593i | − | 1.14385i | −0.820306 | − | 0.571926i | \(-0.806197\pi\) | ||
0.820306 | − | 0.571926i | \(-0.193803\pi\) | |||||||
\(114\) | 3.78957 | − | 16.8733i | 0.354926 | − | 1.58033i | ||||
\(115\) | −3.50790 | + | 6.07586i | −0.327113 | + | 0.566577i | ||||
\(116\) | 17.5259 | − | 30.3557i | 1.62724 | − | 2.81846i | ||||
\(117\) | −0.550388 | − | 0.795336i | −0.0508834 | − | 0.0735289i | ||||
\(118\) | 28.9339i | 2.66358i | ||||||||
\(119\) | 8.80627 | − | 2.53256i | 0.807269 | − | 0.232160i | ||||
\(120\) | 27.3248 | + | 25.1775i | 2.49440 | + | 2.29838i | ||||
\(121\) | 10.6550 | + | 2.73342i | 0.968634 | + | 0.248492i | ||||
\(122\) | −0.166321 | − | 0.0960254i | −0.0150580 | − | 0.00869373i | ||||
\(123\) | 1.76579 | + | 5.65471i | 0.159216 | + | 0.509868i | ||||
\(124\) | −13.2121 | − | 22.8840i | −1.18648 | − | 2.05505i | ||||
\(125\) | − | 10.9905i | − | 0.983018i | ||||||
\(126\) | −7.67162 | − | 20.2718i | −0.683442 | − | 1.80596i | ||||
\(127\) | − | 10.3327i | − | 0.916878i | −0.888726 | − | 0.458439i | \(-0.848409\pi\) | ||
0.888726 | − | 0.458439i | \(-0.151591\pi\) | |||||||
\(128\) | −18.6545 | − | 32.3106i | −1.64884 | − | 2.85588i | ||||
\(129\) | 9.62859 | − | 3.00672i | 0.847750 | − | 0.264727i | ||||
\(130\) | −1.00026 | + | 1.73251i | −0.0877290 | + | 0.151951i | ||||
\(131\) | 0.206546 | + | 0.357748i | 0.0180460 | + | 0.0312566i | 0.874907 | − | 0.484290i | \(-0.160922\pi\) |
−0.856861 | + | 0.515547i | \(0.827589\pi\) | |||||||
\(132\) | 29.4860 | + | 10.6459i | 2.56642 | + | 0.926610i | ||||
\(133\) | 9.38806 | + | 2.33296i | 0.814048 | + | 0.202293i | ||||
\(134\) | −1.43595 | −0.124047 | ||||||||
\(135\) | −11.6929 | − | 1.63792i | −1.00637 | − | 0.140970i | ||||
\(136\) | −16.3483 | + | 28.3162i | −1.40186 | + | 2.42809i | ||||
\(137\) | 10.8606 | + | 6.27034i | 0.927880 | + | 0.535712i | 0.886140 | − | 0.463417i | \(-0.153377\pi\) |
0.0417393 | + | 0.999129i | \(0.486710\pi\) | |||||||
\(138\) | −3.20013 | + | 14.2488i | −0.272413 | + | 1.21294i | ||||
\(139\) | 19.9861i | 1.69520i | 0.530634 | + | 0.847601i | \(0.321954\pi\) | ||||
−0.530634 | + | 0.847601i | \(0.678046\pi\) | |||||||
\(140\) | −22.7718 | + | 23.6176i | −1.92457 | + | 1.99605i | ||||
\(141\) | 3.49149 | + | 3.21712i | 0.294036 | + | 0.270930i | ||||
\(142\) | 6.42476 | − | 3.70934i | 0.539154 | − | 0.311281i | ||||
\(143\) | −0.133909 | + | 1.06087i | −0.0111980 | + | 0.0887143i | ||||
\(144\) | 40.3156 | + | 19.0709i | 3.35963 | + | 1.58924i | ||||
\(145\) | 12.6396 | − | 7.29750i | 1.04966 | − | 0.606024i | ||||
\(146\) | 10.0491i | 0.831672i | ||||||||
\(147\) | 11.4338 | − | 4.03344i | 0.943043 | − | 0.332672i | ||||
\(148\) | 7.53170 | 0.619102 | ||||||||
\(149\) | 6.29520 | + | 10.9036i | 0.515723 | + | 0.893258i | 0.999833 | + | 0.0182514i | \(0.00580992\pi\) |
−0.484111 | + | 0.875007i | \(0.660857\pi\) | |||||||
\(150\) | 0.230116 | + | 0.736915i | 0.0187889 | + | 0.0601689i | ||||
\(151\) | −7.80548 | − | 4.50649i | −0.635201 | − | 0.366733i | 0.147563 | − | 0.989053i | \(-0.452857\pi\) |
−0.782763 | + | 0.622319i | \(0.786191\pi\) | |||||||
\(152\) | −29.8934 | + | 17.2589i | −2.42467 | + | 1.39989i | ||||
\(153\) | −0.848455 | − | 10.3554i | −0.0685935 | − | 0.837184i | ||||
\(154\) | −8.64578 | + | 22.3484i | −0.696697 | + | 1.80089i | ||||
\(155\) | − | 11.0026i | − | 0.883751i | ||||||
\(156\) | −0.667773 | + | 2.97330i | −0.0534646 | + | 0.238055i | ||||
\(157\) | 8.35792 | − | 14.4763i | 0.667034 | − | 1.15534i | −0.311695 | − | 0.950182i | \(-0.600897\pi\) |
0.978729 | − | 0.205155i | \(-0.0657699\pi\) | |||||||
\(158\) | −11.1556 | − | 6.44067i | −0.887489 | − | 0.512392i | ||||
\(159\) | 0.361193 | − | 1.60823i | 0.0286445 | − | 0.127541i | ||||
\(160\) | − | 49.3423i | − | 3.90085i | ||||||
\(161\) | −7.92782 | − | 1.97009i | −0.624800 | − | 0.155265i | ||||
\(162\) | −24.2492 | + | 4.00051i | −1.90520 | + | 0.314310i | ||||
\(163\) | −6.16261 | − | 10.6740i | −0.482693 | − | 0.836048i | 0.517110 | − | 0.855919i | \(-0.327008\pi\) |
−0.999803 | + | 0.0198707i | \(0.993675\pi\) | |||||||
\(164\) | 9.33234 | − | 16.1641i | 0.728733 | − | 1.26220i | ||||
\(165\) | 8.41621 | + | 9.97766i | 0.655201 | + | 0.776760i | ||||
\(166\) | 3.41485 | + | 5.91469i | 0.265043 | + | 0.459069i | ||||
\(167\) | −3.00512 | −0.232543 | −0.116272 | − | 0.993217i | \(-0.537094\pi\) | ||||
−0.116272 | + | 0.993217i | \(0.537094\pi\) | |||||||
\(168\) | −19.3804 | + | 38.6791i | −1.49523 | + | 2.98416i | ||||
\(169\) | 12.8961 | 0.992004 | ||||||||
\(170\) | −18.6113 | + | 10.7452i | −1.42742 | + | 0.824120i | ||||
\(171\) | 4.69038 | − | 9.91541i | 0.358683 | − | 0.758250i | ||||
\(172\) | −27.5235 | − | 15.8907i | −2.09865 | − | 1.21165i | ||||
\(173\) | −7.73477 | − | 13.3970i | −0.588064 | − | 1.01856i | −0.994486 | − | 0.104871i | \(-0.966557\pi\) |
0.406422 | − | 0.913685i | \(-0.366776\pi\) | |||||||
\(174\) | 20.5863 | − | 22.3420i | 1.56064 | − | 1.69374i | ||||
\(175\) | −0.415020 | + | 0.119354i | −0.0313725 | + | 0.00902232i | ||||
\(176\) | −19.1114 | − | 45.4512i | −1.44057 | − | 3.42601i | ||||
\(177\) | −4.02147 | + | 17.9058i | −0.302272 | + | 1.34589i | ||||
\(178\) | −5.99924 | − | 3.46366i | −0.449662 | − | 0.259613i | ||||
\(179\) | 3.57246 | + | 2.06256i | 0.267018 | + | 0.154163i | 0.627532 | − | 0.778591i | \(-0.284065\pi\) |
−0.360514 | + | 0.932754i | \(0.617399\pi\) | |||||||
\(180\) | 21.1689 | + | 30.5900i | 1.57784 | + | 2.28005i | ||||
\(181\) | −16.4152 | −1.22014 | −0.610068 | − | 0.792349i | \(-0.708858\pi\) | ||||
−0.610068 | + | 0.792349i | \(0.708858\pi\) | |||||||
\(182\) | −2.26059 | − | 0.561762i | −0.167566 | − | 0.0416406i | ||||
\(183\) | −0.0895819 | − | 0.0825423i | −0.00662209 | − | 0.00610171i | ||||
\(184\) | 25.2437 | − | 14.5745i | 1.86099 | − | 1.07444i | ||||
\(185\) | 2.71593 | + | 1.56804i | 0.199679 | + | 0.115285i | ||||
\(186\) | −6.82665 | − | 21.8614i | −0.500554 | − | 1.60295i | ||||
\(187\) | −6.94390 | + | 9.15019i | −0.507789 | + | 0.669128i | ||||
\(188\) | − | 14.9584i | − | 1.09096i | ||||||
\(189\) | −1.93007 | − | 13.6116i | −0.140392 | − | 0.990096i | ||||
\(190\) | −22.6874 | −1.64592 | ||||||||
\(191\) | −14.9245 | + | 8.61664i | −1.07990 | + | 0.623478i | −0.930868 | − | 0.365355i | \(-0.880948\pi\) |
−0.149028 | + | 0.988833i | \(0.547614\pi\) | |||||||
\(192\) | −15.2645 | − | 48.8824i | −1.10162 | − | 3.52778i | ||||
\(193\) | 5.46965 | + | 3.15791i | 0.393714 | + | 0.227311i | 0.683768 | − | 0.729699i | \(-0.260340\pi\) |
−0.290054 | + | 0.957010i | \(0.593673\pi\) | |||||||
\(194\) | 19.4793 | + | 33.7391i | 1.39853 | + | 2.42233i | ||||
\(195\) | −0.859816 | + | 0.933145i | −0.0615727 | + | 0.0668239i | ||||
\(196\) | −33.7565 | − | 17.8814i | −2.41118 | − | 1.27724i | ||||
\(197\) | −21.6122 | −1.53981 | −0.769904 | − | 0.638160i | \(-0.779696\pi\) | ||||
−0.769904 | + | 0.638160i | \(0.779696\pi\) | |||||||
\(198\) | 22.9131 | + | 14.6030i | 1.62836 | + | 1.03779i | ||||
\(199\) | −3.78898 | + | 6.56270i | −0.268593 | + | 0.465217i | −0.968499 | − | 0.249018i | \(-0.919892\pi\) |
0.699905 | + | 0.714236i | \(0.253225\pi\) | |||||||
\(200\) | 0.770460 | − | 1.33448i | 0.0544798 | − | 0.0943617i | ||||
\(201\) | −0.888643 | − | 0.199580i | −0.0626801 | − | 0.0140773i | ||||
\(202\) | 27.4948 | 1.93453 | ||||||||
\(203\) | 12.2335 | + | 11.7954i | 0.858627 | + | 0.827878i | ||||
\(204\) | −22.1826 | + | 24.0744i | −1.55309 | + | 1.68555i | ||||
\(205\) | 6.73047 | − | 3.88584i | 0.470076 | − | 0.271399i | ||||
\(206\) | −9.88573 | + | 17.1226i | −0.688771 | + | 1.19299i | ||||
\(207\) | −3.96083 | + | 8.37315i | −0.275297 | + | 0.581974i | ||||
\(208\) | 4.15078 | − | 2.39645i | 0.287805 | − | 0.166164i | ||||
\(209\) | −11.1785 | + | 4.70034i | −0.773232 | + | 0.325129i | ||||
\(210\) | −23.7428 | + | 15.6475i | −1.63841 | + | 1.07978i | ||||
\(211\) | 20.4709i | 1.40928i | 0.709566 | + | 0.704639i | \(0.248891\pi\) | ||||
−0.709566 | + | 0.704639i | \(0.751109\pi\) | |||||||
\(212\) | −4.49750 | + | 2.59663i | −0.308890 | + | 0.178338i | ||||
\(213\) | 4.49155 | − | 1.40257i | 0.307756 | − | 0.0961027i | ||||
\(214\) | 9.51976 | − | 16.4887i | 0.650758 | − | 1.12715i | ||||
\(215\) | −6.61663 | − | 11.4603i | −0.451251 | − | 0.781589i | ||||
\(216\) | 38.6699 | + | 30.1840i | 2.63116 | + | 2.05376i | ||||
\(217\) | 12.3120 | − | 3.54077i | 0.835794 | − | 0.240363i | ||||
\(218\) | 54.7230i | 3.70631i | ||||||||
\(219\) | −1.39671 | + | 6.21894i | −0.0943809 | + | 0.420237i | ||||
\(220\) | 5.15037 | − | 40.8028i | 0.347238 | − | 2.75093i | ||||
\(221\) | −0.967000 | − | 0.558298i | −0.0650475 | − | 0.0375552i | ||||
\(222\) | 6.36925 | + | 1.43047i | 0.427476 | + | 0.0960067i | ||||
\(223\) | 23.8029 | 1.59396 | 0.796980 | − | 0.604006i | \(-0.206430\pi\) | ||||
0.796980 | + | 0.604006i | \(0.206430\pi\) | |||||||
\(224\) | 55.2144 | − | 15.8789i | 3.68917 | − | 1.06096i | ||||
\(225\) | 0.0399858 | + | 0.488026i | 0.00266572 | + | 0.0325351i | ||||
\(226\) | −28.7558 | + | 16.6022i | −1.91281 | + | 1.10436i | ||||
\(227\) | 11.5863 | − | 20.0681i | 0.769011 | − | 1.33197i | −0.169089 | − | 0.985601i | \(-0.554083\pi\) |
0.938100 | − | 0.346365i | \(-0.112584\pi\) | |||||||
\(228\) | −32.9884 | + | 10.3013i | −2.18471 | + | 0.682218i | ||||
\(229\) | 7.34286 | + | 12.7182i | 0.485230 | + | 0.840442i | 0.999856 | − | 0.0169723i | \(-0.00540270\pi\) |
−0.514626 | + | 0.857415i | \(0.672069\pi\) | |||||||
\(230\) | 19.1586 | 1.26328 | ||||||||
\(231\) | −8.45665 | + | 12.6287i | −0.556406 | + | 0.830910i | ||||
\(232\) | −60.6386 | −3.98112 | ||||||||
\(233\) | 1.80502 | + | 3.12638i | 0.118251 | + | 0.204816i | 0.919075 | − | 0.394084i | \(-0.128938\pi\) |
−0.800824 | + | 0.598900i | \(0.795605\pi\) | |||||||
\(234\) | −1.12942 | + | 2.38757i | −0.0738322 | + | 0.156080i | ||||
\(235\) | 3.11422 | − | 5.39400i | 0.203150 | − | 0.351865i | ||||
\(236\) | 50.0745 | − | 28.9106i | 3.25958 | − | 1.88192i | ||||
\(237\) | −6.00849 | − | 5.53633i | −0.390293 | − | 0.359623i | ||||
\(238\) | −18.0133 | − | 17.3682i | −1.16763 | − | 1.12581i | ||||
\(239\) | 26.8323 | 1.73564 | 0.867820 | − | 0.496879i | \(-0.165521\pi\) | ||||
0.867820 | + | 0.496879i | \(0.165521\pi\) | |||||||
\(240\) | 12.8211 | − | 57.0869i | 0.827600 | − | 3.68494i | ||||
\(241\) | 25.7895 | + | 14.8896i | 1.66125 | + | 0.959123i | 0.972120 | + | 0.234485i | \(0.0753405\pi\) |
0.689130 | + | 0.724638i | \(0.257993\pi\) | |||||||
\(242\) | −8.08386 | − | 28.9304i | −0.519650 | − | 1.85972i | ||||
\(243\) | −15.5628 | − | 0.894625i | −0.998352 | − | 0.0573902i | ||||
\(244\) | 0.383792i | 0.0245698i | ||||||||
\(245\) | −8.44980 | − | 13.4759i | −0.539838 | − | 0.860941i | ||||
\(246\) | 10.9620 | − | 11.8968i | 0.698909 | − | 0.758515i | ||||
\(247\) | −0.589395 | − | 1.02086i | −0.0375023 | − | 0.0649559i | ||||
\(248\) | −22.8566 | + | 39.5887i | −1.45139 | + | 2.51389i | ||||
\(249\) | 1.29122 | + | 4.13495i | 0.0818277 | + | 0.262042i | ||||
\(250\) | −25.9917 | + | 15.0063i | −1.64386 | + | 0.949081i | ||||
\(251\) | 19.1064i | 1.20598i | 0.797748 | + | 0.602992i | \(0.206025\pi\) | ||||
−0.797748 | + | 0.602992i | \(0.793975\pi\) | |||||||
\(252\) | −27.4181 | + | 33.5324i | −1.72718 | + | 2.11234i | ||||
\(253\) | 9.43976 | − | 3.96924i | 0.593473 | − | 0.249544i | ||||
\(254\) | −24.4360 | + | 14.1081i | −1.53325 | + | 0.885224i | ||||
\(255\) | −13.0111 | + | 4.06297i | −0.814788 | + | 0.254433i | ||||
\(256\) | −21.3751 | + | 37.0228i | −1.33595 | + | 2.31392i | ||||
\(257\) | −16.5011 | + | 9.52692i | −1.02931 | + | 0.594273i | −0.916787 | − | 0.399376i | \(-0.869227\pi\) |
−0.112524 | + | 0.993649i | \(0.535893\pi\) | |||||||
\(258\) | −20.2574 | − | 18.6655i | −1.26117 | − | 1.16207i | ||||
\(259\) | −0.880634 | + | 3.54376i | −0.0547199 | + | 0.220198i | ||||
\(260\) | 3.99783 | 0.247935 | ||||||||
\(261\) | 15.8452 | − | 10.9652i | 0.980791 | − | 0.678727i | ||||
\(262\) | 0.564031 | − | 0.976931i | 0.0348460 | − | 0.0603550i | ||||
\(263\) | −2.15663 | + | 3.73540i | −0.132984 | + | 0.230334i | −0.924825 | − | 0.380392i | \(-0.875789\pi\) |
0.791842 | + | 0.610726i | \(0.209122\pi\) | |||||||
\(264\) | −9.55521 | − | 53.3845i | −0.588083 | − | 3.28559i | ||||
\(265\) | −2.16239 | −0.132835 | ||||||||
\(266\) | −7.30109 | − | 25.3874i | −0.447658 | − | 1.55660i | ||||
\(267\) | −3.23125 | − | 2.97733i | −0.197749 | − | 0.182209i | ||||
\(268\) | 1.43479 | + | 2.48513i | 0.0876439 | + | 0.151804i | ||||
\(269\) | −9.17269 | − | 5.29585i | −0.559269 | − | 0.322894i | 0.193583 | − | 0.981084i | \(-0.437989\pi\) |
−0.752852 | + | 0.658190i | \(0.771322\pi\) | |||||||
\(270\) | 12.0918 | + | 29.8893i | 0.735884 | + | 1.81900i | ||||
\(271\) | 20.1122 | − | 11.6118i | 1.22173 | − | 0.705364i | 0.256441 | − | 0.966560i | \(-0.417450\pi\) |
0.965286 | + | 0.261196i | \(0.0841169\pi\) | |||||||
\(272\) | 51.4872 | 3.12187 | ||||||||
\(273\) | −1.32090 | − | 0.661844i | −0.0799443 | − | 0.0400566i | ||||
\(274\) | − | 34.2458i | − | 2.06887i | ||||||
\(275\) | 0.327251 | − | 0.431228i | 0.0197339 | − | 0.0260040i | ||||
\(276\) | 27.8573 | − | 8.69899i | 1.67681 | − | 0.523618i | ||||
\(277\) | −5.35899 | − | 3.09401i | −0.321990 | − | 0.185901i | 0.330289 | − | 0.943880i | \(-0.392854\pi\) |
−0.652279 | + | 0.757979i | \(0.726187\pi\) | |||||||
\(278\) | 47.2657 | − | 27.2889i | 2.83481 | − | 1.63668i | ||||
\(279\) | −1.18622 | − | 14.4778i | −0.0710173 | − | 0.866765i | ||||
\(280\) | 55.0812 | + | 13.6878i | 3.29173 | + | 0.818004i | ||||
\(281\) | 11.7518 | 0.701052 | 0.350526 | − | 0.936553i | \(-0.386003\pi\) | ||||
0.350526 | + | 0.936553i | \(0.386003\pi\) | |||||||
\(282\) | 2.84100 | − | 12.6497i | 0.169179 | − | 0.753280i | ||||
\(283\) | −2.48435 | − | 1.43434i | −0.147679 | − | 0.0852627i | 0.424340 | − | 0.905503i | \(-0.360506\pi\) |
−0.572019 | + | 0.820240i | \(0.693840\pi\) | |||||||
\(284\) | −12.8392 | − | 7.41270i | −0.761864 | − | 0.439863i | ||||
\(285\) | −14.0402 | − | 3.15329i | −0.831671 | − | 0.186785i | ||||
\(286\) | 2.69171 | − | 1.13181i | 0.159164 | − | 0.0669256i | ||||
\(287\) | 6.51423 | + | 6.28094i | 0.384523 | + | 0.370752i | ||||
\(288\) | −5.31973 | − | 64.9273i | −0.313468 | − | 3.82588i | ||||
\(289\) | 2.50255 | + | 4.33455i | 0.147209 | + | 0.254974i | ||||
\(290\) | −34.5161 | − | 19.9279i | −2.02685 | − | 1.17020i | ||||
\(291\) | 7.36550 | + | 23.5870i | 0.431773 | + | 1.38269i | ||||
\(292\) | 17.3916 | − | 10.0410i | 1.01776 | − | 0.587607i | ||||
\(293\) | −29.1779 | −1.70459 | −0.852294 | − | 0.523062i | \(-0.824790\pi\) | ||||
−0.852294 | + | 0.523062i | \(0.824790\pi\) | |||||||
\(294\) | −25.1503 | − | 21.5328i | −1.46680 | − | 1.25582i | ||||
\(295\) | 24.0758 | 1.40175 | ||||||||
\(296\) | −6.51482 | − | 11.2840i | −0.378666 | − | 0.655869i | ||||
\(297\) | 12.1502 | + | 12.2218i | 0.705028 | + | 0.709179i | ||||
\(298\) | 17.1908 | − | 29.7753i | 0.995836 | − | 1.72484i | ||||
\(299\) | 0.497719 | + | 0.862075i | 0.0287839 | + | 0.0498551i | ||||
\(300\) | 1.04541 | − | 1.13457i | 0.0603570 | − | 0.0655046i | ||||
\(301\) | 10.6949 | − | 11.0921i | 0.616445 | − | 0.639341i | ||||
\(302\) | 24.6125i | 1.41629i | ||||||||
\(303\) | 17.0153 | + | 3.82145i | 0.977502 | + | 0.219537i | ||||
\(304\) | 47.0728 | + | 27.1775i | 2.69981 | + | 1.55874i | ||||
\(305\) | −0.0799024 | + | 0.138395i | −0.00457520 | + | 0.00792447i | ||||
\(306\) | −23.3312 | + | 16.1457i | −1.33376 | + | 0.922987i | ||||
\(307\) | 24.3592i | 1.39025i | 0.718888 | + | 0.695126i | \(0.244651\pi\) | ||||
−0.718888 | + | 0.695126i | \(0.755349\pi\) | |||||||
\(308\) | 47.3162 | − | 7.36753i | 2.69609 | − | 0.419804i | ||||
\(309\) | −8.49766 | + | 9.22238i | −0.483415 | + | 0.524643i | ||||
\(310\) | −26.0203 | + | 15.0228i | −1.47786 | + | 0.853240i | ||||
\(311\) | 11.3359 | + | 6.54480i | 0.642801 | + | 0.371122i | 0.785693 | − | 0.618617i | \(-0.212307\pi\) |
−0.142891 | + | 0.989738i | \(0.545640\pi\) | |||||||
\(312\) | 5.03221 | − | 1.57141i | 0.284893 | − | 0.0889634i | ||||
\(313\) | −2.24907 | − | 3.89550i | −0.127125 | − | 0.220187i | 0.795437 | − | 0.606037i | \(-0.207242\pi\) |
−0.922562 | + | 0.385850i | \(0.873908\pi\) | |||||||
\(314\) | −45.6472 | −2.57602 | ||||||||
\(315\) | −16.8681 | + | 6.38353i | −0.950411 | + | 0.359671i | ||||
\(316\) | 25.7419i | 1.44810i | ||||||||
\(317\) | 18.3505 | − | 10.5946i | 1.03066 | − | 0.595054i | 0.113490 | − | 0.993539i | \(-0.463797\pi\) |
0.917175 | + | 0.398485i | \(0.130464\pi\) | |||||||
\(318\) | −4.29652 | + | 1.34167i | −0.240937 | + | 0.0752373i | ||||
\(319\) | −21.1353 | − | 2.66782i | −1.18335 | − | 0.149369i | ||||
\(320\) | −58.1818 | + | 33.5913i | −3.25246 | + | 1.87781i | ||||
\(321\) | 8.18308 | − | 8.88097i | 0.456735 | − | 0.495688i | ||||
\(322\) | 6.16546 | + | 21.4386i | 0.343588 | + | 1.19473i | ||||
\(323\) | − | 12.6630i | − | 0.704589i | ||||||
\(324\) | 31.1532 | + | 37.9698i | 1.73073 | + | 2.10943i | ||||
\(325\) | 0.0455725 | + | 0.0263113i | 0.00252791 | + | 0.00145949i | ||||
\(326\) | −16.8287 | + | 29.1482i | −0.932057 | + | 1.61437i | ||||
\(327\) | −7.60586 | + | 33.8656i | −0.420605 | + | 1.87277i | ||||
\(328\) | −32.2894 | −1.78288 | ||||||||
\(329\) | 7.03812 | + | 1.74899i | 0.388024 | + | 0.0964251i | ||||
\(330\) | 12.1050 | − | 33.5271i | 0.666358 | − | 1.84561i | ||||
\(331\) | −7.91015 | − | 13.7008i | −0.434781 | − | 0.753063i | 0.562497 | − | 0.826800i | \(-0.309841\pi\) |
−0.997278 | + | 0.0737365i | \(0.976508\pi\) | |||||||
\(332\) | 6.82418 | − | 11.8198i | 0.374526 | − | 0.648698i | ||||
\(333\) | 3.74282 | + | 1.77050i | 0.205105 | + | 0.0970229i | ||||
\(334\) | 4.10316 | + | 7.10688i | 0.224515 | + | 0.388871i | ||||
\(335\) | 1.19485i | 0.0652816i | ||||||||
\(336\) | 68.0067 | − | 4.02429i | 3.71007 | − | 0.219543i | ||||
\(337\) | 19.0202i | 1.03609i | 0.855352 | + | 0.518047i | \(0.173341\pi\) | ||||
−0.855352 | + | 0.518047i | \(0.826659\pi\) | |||||||
\(338\) | −17.6081 | − | 30.4982i | −0.957757 | − | 1.65888i | ||||
\(339\) | −20.1032 | + | 6.27761i | −1.09185 | + | 0.340953i | ||||
\(340\) | 37.1925 | + | 21.4731i | 2.01705 | + | 1.16454i | ||||
\(341\) | −9.70825 | + | 12.7928i | −0.525731 | + | 0.692772i | ||||
\(342\) | −29.8534 | + | 2.44600i | −1.61429 | + | 0.132264i | ||||
\(343\) | 12.3604 | − | 13.7921i | 0.667396 | − | 0.744703i | ||||
\(344\) | 54.9810i | 2.96437i | ||||||||
\(345\) | 11.8564 | + | 2.66282i | 0.638326 | + | 0.143361i | ||||
\(346\) | −21.1219 | + | 36.5843i | −1.13552 | + | 1.96678i | ||||
\(347\) | −0.782758 | + | 1.35578i | −0.0420206 | + | 0.0727819i | −0.886271 | − | 0.463167i | \(-0.846713\pi\) |
0.844250 | + | 0.535949i | \(0.180046\pi\) | |||||||
\(348\) | −59.2359 | − | 13.3038i | −3.17538 | − | 0.713157i | ||||
\(349\) | − | 21.4296i | − | 1.14710i | −0.819171 | − | 0.573550i | \(-0.805566\pi\) | ||
0.819171 | − | 0.573550i | \(-0.194434\pi\) | |||||||
\(350\) | 0.848927 | + | 0.818525i | 0.0453770 | + | 0.0437520i | ||||
\(351\) | −1.03079 | + | 1.32058i | −0.0550194 | + | 0.0704875i | ||||
\(352\) | −43.5376 | + | 57.3708i | −2.32056 | + | 3.05787i | ||||
\(353\) | 10.4611 | + | 6.03970i | 0.556786 | + | 0.321461i | 0.751855 | − | 0.659329i | \(-0.229160\pi\) |
−0.195068 | + | 0.980790i | \(0.562493\pi\) | |||||||
\(354\) | 47.8368 | − | 14.9380i | 2.54250 | − | 0.793945i | ||||
\(355\) | −3.08653 | − | 5.34602i | −0.163816 | − | 0.283737i | ||||
\(356\) | 13.8435i | 0.733703i | ||||||||
\(357\) | −8.73363 | − | 13.2520i | −0.462233 | − | 0.701372i | ||||
\(358\) | − | 11.2648i | − | 0.595363i | ||||||
\(359\) | −2.76749 | − | 4.79344i | −0.146063 | − | 0.252988i | 0.783706 | − | 0.621132i | \(-0.213327\pi\) |
−0.929769 | + | 0.368144i | \(0.879993\pi\) | |||||||
\(360\) | 27.5192 | − | 58.1752i | 1.45039 | − | 3.06610i | ||||
\(361\) | −2.81583 | + | 4.87716i | −0.148202 | + | 0.256693i | ||||
\(362\) | 22.4132 | + | 38.8208i | 1.17801 | + | 2.04038i | ||||
\(363\) | −0.981749 | − | 19.0272i | −0.0515285 | − | 0.998672i | ||||
\(364\) | 1.28655 | + | 4.47361i | 0.0674335 | + | 0.234481i | ||||
\(365\) | 8.36184 | 0.437679 | ||||||||
\(366\) | −0.0728921 | + | 0.324557i | −0.00381013 | + | 0.0169649i | ||||
\(367\) | 8.80035 | − | 15.2427i | 0.459375 | − | 0.795660i | −0.539553 | − | 0.841951i | \(-0.681407\pi\) |
0.998928 | + | 0.0462913i | \(0.0147402\pi\) | |||||||
\(368\) | −39.7510 | − | 22.9503i | −2.07217 | − | 1.19637i | ||||
\(369\) | 8.43738 | − | 5.83883i | 0.439232 | − | 0.303957i | ||||
\(370\) | − | 8.56394i | − | 0.445218i | ||||||
\(371\) | −0.695884 | − | 2.41974i | −0.0361285 | − | 0.125627i | ||||
\(372\) | −31.0134 | + | 33.6583i | −1.60797 | + | 1.74510i | ||||
\(373\) | −16.6730 | + | 9.62618i | −0.863297 | + | 0.498425i | −0.865115 | − | 0.501573i | \(-0.832755\pi\) |
0.00181775 | + | 0.999998i | \(0.499421\pi\) | |||||||
\(374\) | 31.1206 | + | 3.92823i | 1.60921 | + | 0.203124i | ||||
\(375\) | −18.1707 | + | 5.67417i | −0.938333 | + | 0.293013i | ||||
\(376\) | −22.4107 | + | 12.9388i | −1.15574 | + | 0.667269i | ||||
\(377\) | − | 2.07081i | − | 0.106652i | ||||||
\(378\) | −29.5550 | + | 23.1496i | −1.52015 | + | 1.19068i | ||||
\(379\) | −30.0047 | −1.54124 | −0.770618 | − | 0.637297i | \(-0.780052\pi\) | ||||
−0.770618 | + | 0.637297i | \(0.780052\pi\) | |||||||
\(380\) | 22.6692 | + | 39.2641i | 1.16290 | + | 2.01421i | ||||
\(381\) | −17.0832 | + | 5.33456i | −0.875199 | + | 0.273298i | ||||
\(382\) | 40.7554 | + | 23.5301i | 2.08523 | + | 1.20391i | ||||
\(383\) | 10.9522 | − | 6.32326i | 0.559632 | − | 0.323104i | −0.193366 | − | 0.981127i | \(-0.561940\pi\) |
0.752998 | + | 0.658023i | \(0.228607\pi\) | |||||||
\(384\) | −43.7887 | + | 47.5231i | −2.23458 | + | 2.42516i | ||||
\(385\) | 18.5960 | + | 7.19413i | 0.947742 | + | 0.366647i | ||||
\(386\) | − | 17.2471i | − | 0.877853i | ||||||
\(387\) | −9.94210 | − | 14.3668i | −0.505385 | − | 0.730305i | ||||
\(388\) | 38.9272 | − | 67.4238i | 1.97623 | − | 3.42293i | ||||
\(389\) | −24.3242 | − | 14.0436i | −1.23329 | − | 0.712039i | −0.265574 | − | 0.964091i | \(-0.585561\pi\) |
−0.967714 | + | 0.252052i | \(0.918895\pi\) | |||||||
\(390\) | 3.38080 | + | 0.759293i | 0.171193 | + | 0.0384483i | ||||
\(391\) | 10.6934i | 0.540787i | ||||||||
\(392\) | 2.40898 | + | 66.0412i | 0.121672 | + | 3.33558i | ||||
\(393\) | 0.484835 | − | 0.526184i | 0.0244567 | − | 0.0265425i | ||||
\(394\) | 29.5091 | + | 51.1113i | 1.48665 | + | 2.57495i | ||||
\(395\) | −5.35926 | + | 9.28251i | −0.269654 | + | 0.467054i | ||||
\(396\) | 2.37808 | − | 54.2459i | 0.119503 | − | 2.72596i | ||||
\(397\) | −12.1105 | − | 20.9760i | −0.607808 | − | 1.05275i | −0.991601 | − | 0.129335i | \(-0.958716\pi\) |
0.383793 | − | 0.923419i | \(-0.374618\pi\) | |||||||
\(398\) | 20.6937 | 1.03728 | ||||||||
\(399\) | −0.989752 | − | 16.7259i | −0.0495496 | − | 0.837342i | ||||
\(400\) | −2.42648 | −0.121324 | ||||||||
\(401\) | 5.06564 | − | 2.92465i | 0.252966 | − | 0.146050i | −0.368156 | − | 0.929764i | \(-0.620011\pi\) |
0.621122 | + | 0.783714i | \(0.286677\pi\) | |||||||
\(402\) | 0.741353 | + | 2.37408i | 0.0369753 | + | 0.118408i | ||||
\(403\) | −1.35196 | − | 0.780554i | −0.0673459 | − | 0.0388822i | ||||
\(404\) | −27.4726 | − | 47.5840i | −1.36681 | − | 2.36739i | ||||
\(405\) | 3.32881 | + | 20.1777i | 0.165410 | + | 1.00264i | ||||
\(406\) | 11.1918 | − | 45.0368i | 0.555438 | − | 2.23514i | ||||
\(407\) | −1.77426 | − | 4.21960i | −0.0879469 | − | 0.209158i | ||||
\(408\) | 55.2559 | + | 12.4099i | 2.73557 | + | 0.614382i | ||||
\(409\) | −20.0197 | − | 11.5584i | −0.989909 | − | 0.571524i | −0.0846617 | − | 0.996410i | \(-0.526981\pi\) |
−0.905247 | + | 0.424886i | \(0.860314\pi\) | |||||||
\(410\) | −18.3794 | − | 10.6114i | −0.907695 | − | 0.524058i | ||||
\(411\) | 4.75977 | − | 21.1932i | 0.234782 | − | 1.04538i | ||||
\(412\) | 39.5110 | 1.94657 | ||||||||
\(413\) | 7.74787 | + | 26.9410i | 0.381248 | + | 1.32568i | ||||
\(414\) | 25.2099 | − | 2.06554i | 1.23900 | − | 0.101516i | ||||
\(415\) | 4.92159 | − | 2.84148i | 0.241591 | − | 0.139483i | ||||
\(416\) | −6.06299 | − | 3.50047i | −0.297263 | − | 0.171625i | ||||
\(417\) | 33.0434 | − | 10.3185i | 1.61814 | − | 0.505297i | ||||
\(418\) | 26.3789 | + | 20.0185i | 1.29024 | + | 0.979135i | ||||
\(419\) | − | 6.65124i | − | 0.324934i | −0.986714 | − | 0.162467i | \(-0.948055\pi\) | ||
0.986714 | − | 0.162467i | \(-0.0519451\pi\) | |||||||
\(420\) | 50.8040 | + | 25.4557i | 2.47898 | + | 1.24211i | ||||
\(421\) | 10.3220 | 0.503061 | 0.251531 | − | 0.967849i | \(-0.419066\pi\) | ||||
0.251531 | + | 0.967849i | \(0.419066\pi\) | |||||||
\(422\) | 48.4122 | − | 27.9508i | 2.35667 | − | 1.36062i | ||||
\(423\) | 3.51633 | − | 7.43347i | 0.170970 | − | 0.361428i | ||||
\(424\) | 7.78056 | + | 4.49211i | 0.377857 | + | 0.218156i | ||||
\(425\) | 0.282646 | + | 0.489557i | 0.0137104 | + | 0.0237470i | ||||
\(426\) | −9.44969 | − | 8.70711i | −0.457839 | − | 0.421861i | ||||
\(427\) | −0.180579 | − | 0.0448743i | −0.00873882 | − | 0.00217162i | ||||
\(428\) | −38.0484 | −1.83914 | ||||||||
\(429\) | 1.82309 | − | 0.326312i | 0.0880194 | − | 0.0157545i | ||||
\(430\) | −18.0686 | + | 31.2957i | −0.871344 | + | 1.50921i | ||||
\(431\) | 3.55144 | − | 6.15128i | 0.171067 | − | 0.296297i | −0.767726 | − | 0.640778i | \(-0.778612\pi\) |
0.938793 | + | 0.344481i | \(0.111945\pi\) | |||||||
\(432\) | 10.7160 | − | 76.5003i | 0.515576 | − | 3.68062i | ||||
\(433\) | −19.2673 | −0.925927 | −0.462964 | − | 0.886377i | \(-0.653214\pi\) | ||||
−0.462964 | + | 0.886377i | \(0.653214\pi\) | |||||||
\(434\) | −25.1843 | − | 24.2824i | −1.20889 | − | 1.16559i | ||||
\(435\) | −18.5907 | − | 17.1298i | −0.891354 | − | 0.821309i | ||||
\(436\) | 94.7067 | − | 54.6789i | 4.53563 | − | 2.61865i | ||||
\(437\) | −5.64450 | + | 9.77656i | −0.270013 | + | 0.467676i | ||||
\(438\) | 16.6144 | − | 5.18817i | 0.793866 | − | 0.247900i | ||||
\(439\) | −9.26690 | + | 5.35025i | −0.442285 | + | 0.255353i | −0.704566 | − | 0.709638i | \(-0.748859\pi\) |
0.262281 | + | 0.964991i | \(0.415525\pi\) | |||||||
\(440\) | −65.5858 | + | 27.5776i | −3.12668 | + | 1.31471i | ||||
\(441\) | −12.5716 | − | 16.8213i | −0.598647 | − | 0.801013i | ||||
\(442\) | 3.04918i | 0.145035i | ||||||||
\(443\) | −15.8767 | + | 9.16640i | −0.754323 | + | 0.435509i | −0.827254 | − | 0.561828i | \(-0.810098\pi\) |
0.0729307 | + | 0.997337i | \(0.476765\pi\) | |||||||
\(444\) | −3.88847 | − | 12.4523i | −0.184539 | − | 0.590959i | ||||
\(445\) | −2.88210 | + | 4.99195i | −0.136625 | + | 0.236641i | ||||
\(446\) | −32.5002 | − | 56.2920i | −1.53893 | − | 2.66550i | ||||
\(447\) | 14.7770 | − | 16.0373i | 0.698929 | − | 0.758537i | ||||
\(448\) | −56.3126 | − | 54.2959i | −2.66052 | − | 2.56524i | ||||
\(449\) | − | 25.0306i | − | 1.18127i | −0.806940 | − | 0.590634i | \(-0.798878\pi\) | ||
0.806940 | − | 0.590634i | \(-0.201122\pi\) | |||||||
\(450\) | 1.09955 | − | 0.760909i | 0.0518332 | − | 0.0358696i | ||||
\(451\) | −11.2543 | − | 1.42058i | −0.529944 | − | 0.0668926i | ||||
\(452\) | 57.4653 | + | 33.1776i | 2.70294 | + | 1.56054i | ||||
\(453\) | −3.42085 | + | 15.2315i | −0.160725 | + | 0.715640i | ||||
\(454\) | −63.2793 | −2.96985 | ||||||||
\(455\) | −0.467441 | + | 1.88103i | −0.0219140 | + | 0.0881839i | ||||
\(456\) | 43.9678 | + | 40.5127i | 2.05898 | + | 1.89718i | ||||
\(457\) | −25.3613 | + | 14.6424i | −1.18635 | + | 0.684942i | −0.957476 | − | 0.288514i | \(-0.906839\pi\) |
−0.228878 | + | 0.973455i | \(0.573506\pi\) | |||||||
\(458\) | 20.0517 | − | 34.7306i | 0.936955 | − | 1.62285i | ||||
\(459\) | −16.6827 | + | 6.74905i | −0.778682 | + | 0.315019i | ||||
\(460\) | −19.1432 | − | 33.1569i | −0.892554 | − | 1.54595i | ||||
\(461\) | 13.4555 | 0.626683 | 0.313342 | − | 0.949640i | \(-0.398551\pi\) | ||||
0.313342 | + | 0.949640i | \(0.398551\pi\) | |||||||
\(462\) | 41.4126 | + | 2.75617i | 1.92669 | + | 0.128229i | ||||
\(463\) | 6.25776 | 0.290823 | 0.145411 | − | 0.989371i | \(-0.453549\pi\) | ||||
0.145411 | + | 0.989371i | \(0.453549\pi\) | |||||||
\(464\) | 47.7435 | + | 82.6942i | 2.21644 | + | 3.83898i | ||||
\(465\) | −18.1908 | + | 5.68043i | −0.843578 | + | 0.263424i | ||||
\(466\) | 4.92911 | − | 8.53746i | 0.228336 | − | 0.395490i | ||||
\(467\) | −16.8118 | + | 9.70629i | −0.777957 | + | 0.449154i | −0.835706 | − | 0.549178i | \(-0.814941\pi\) |
0.0577488 | + | 0.998331i | \(0.481608\pi\) | |||||||
\(468\) | 5.26057 | − | 0.431017i | 0.243170 | − | 0.0199238i | ||||
\(469\) | −1.33705 | + | 0.384516i | −0.0617390 | + | 0.0177553i | ||||
\(470\) | −17.0085 | −0.784545 | ||||||||
\(471\) | −28.2490 | − | 6.34443i | −1.30164 | − | 0.292336i | ||||
\(472\) | −86.6276 | − | 50.0145i | −3.98736 | − | 2.30210i | ||||
\(473\) | −2.41891 | + | 19.1633i | −0.111221 | + | 0.881130i | ||||
\(474\) | −4.88906 | + | 21.7689i | −0.224562 | + | 0.999877i | ||||
\(475\) | 0.596779i | 0.0273821i | ||||||||
\(476\) | −12.0596 | + | 48.5290i | −0.552751 | + | 2.22432i | ||||
\(477\) | −2.84540 | + | 0.233134i | −0.130282 | + | 0.0106745i | ||||
\(478\) | −36.6366 | − | 63.4564i | −1.67572 | − | 2.90243i | ||||
\(479\) | 16.1616 | − | 27.9926i | 0.738440 | − | 1.27902i | −0.214757 | − | 0.976667i | \(-0.568896\pi\) |
0.953197 | − | 0.302349i | \(-0.0977707\pi\) | |||||||
\(480\) | −81.5784 | + | 25.4744i | −3.72353 | + | 1.16274i | ||||
\(481\) | 0.385350 | − | 0.222482i | 0.0175704 | − | 0.0101443i | ||||
\(482\) | − | 81.3204i | − | 3.70404i | ||||||
\(483\) | 0.835804 | + | 14.1243i | 0.0380304 | + | 0.642679i | ||||
\(484\) | −41.9911 | + | 42.8974i | −1.90869 | + | 1.94988i | ||||
\(485\) | 28.0742 | − | 16.2086i | 1.27478 | − | 0.735997i | ||||
\(486\) | 19.1335 | + | 38.0263i | 0.867914 | + | 1.72491i | ||||
\(487\) | −2.73148 | + | 4.73105i | −0.123775 | + | 0.214385i | −0.921253 | − | 0.388963i | \(-0.872833\pi\) |
0.797478 | + | 0.603347i | \(0.206167\pi\) | |||||||
\(488\) | 0.574997 | − | 0.331975i | 0.0260289 | − | 0.0150278i | ||||
\(489\) | −14.4658 | + | 15.6995i | −0.654165 | + | 0.709956i | ||||
\(490\) | −20.3321 | + | 38.3829i | −0.918511 | + | 1.73396i | ||||
\(491\) | 30.7134 | 1.38607 | 0.693037 | − | 0.720902i | \(-0.256272\pi\) | ||||
0.693037 | + | 0.720902i | \(0.256272\pi\) | |||||||
\(492\) | −31.5424 | − | 7.08411i | −1.42204 | − | 0.319376i | ||||
\(493\) | 11.1227 | − | 19.2652i | 0.500943 | − | 0.867659i | ||||
\(494\) | −1.60951 | + | 2.78775i | −0.0724152 | + | 0.125427i | ||||
\(495\) | 12.1511 | − | 19.0659i | 0.546151 | − | 0.856950i | ||||
\(496\) | 71.9840 | 3.23218 | ||||||||
\(497\) | 4.98896 | − | 5.17426i | 0.223786 | − | 0.232097i | ||||
\(498\) | 8.01583 | − | 8.69945i | 0.359198 | − | 0.389832i | ||||
\(499\) | −7.43292 | − | 12.8742i | −0.332743 | − | 0.576328i | 0.650305 | − | 0.759673i | \(-0.274641\pi\) |
−0.983049 | + | 0.183345i | \(0.941308\pi\) | |||||||
\(500\) | 51.9414 | + | 29.9884i | 2.32289 | + | 1.34112i | ||||
\(501\) | 1.55148 | + | 4.96841i | 0.0693152 | + | 0.221972i | ||||
\(502\) | 45.1851 | − | 26.0876i | 2.01671 | − | 1.16435i | ||||
\(503\) | 30.5907 | 1.36397 | 0.681986 | − | 0.731366i | \(-0.261117\pi\) | ||||
0.681986 | + | 0.731366i | \(0.261117\pi\) | |||||||
\(504\) | 73.9545 | + | 12.0727i | 3.29420 | + | 0.537762i | ||||
\(505\) | − | 22.8783i | − | 1.01807i | ||||||
\(506\) | −22.2759 | − | 16.9048i | −0.990285 | − | 0.751508i | ||||
\(507\) | −6.65798 | − | 21.3213i | −0.295691 | − | 0.946910i | ||||
\(508\) | 48.8326 | + | 28.1935i | 2.16660 | + | 1.25089i | ||||
\(509\) | −27.3875 | + | 15.8122i | −1.21393 | + | 0.700863i | −0.963613 | − | 0.267300i | \(-0.913868\pi\) |
−0.250318 | + | 0.968164i | \(0.580535\pi\) | |||||||
\(510\) | 27.3739 | + | 25.2228i | 1.21214 | + | 1.11688i | ||||
\(511\) | 2.69094 | + | 9.35697i | 0.119040 | + | 0.413928i | ||||
\(512\) | 42.1234 | 1.86161 | ||||||||
\(513\) | −18.8149 | − | 2.63555i | −0.830696 | − | 0.116363i | ||||
\(514\) | 45.0609 | + | 26.0159i | 1.98755 | + | 1.14751i | ||||
\(515\) | 14.2476 | + | 8.22588i | 0.627826 | + | 0.362476i | ||||
\(516\) | −12.0625 | + | 53.7091i | −0.531023 | + | 2.36441i | ||||
\(517\) | −8.38038 | + | 3.52379i | −0.368569 | + | 0.154976i | ||||
\(518\) | 9.58313 | − | 2.75598i | 0.421058 | − | 0.121091i | ||||
\(519\) | −18.1562 | + | 19.7046i | −0.796968 | + | 0.864938i | ||||
\(520\) | −3.45807 | − | 5.98955i | −0.151646 | − | 0.262659i | ||||
\(521\) | 12.2396 | + | 7.06655i | 0.536228 | + | 0.309591i | 0.743549 | − | 0.668682i | \(-0.233141\pi\) |
−0.207321 | + | 0.978273i | \(0.566474\pi\) | |||||||
\(522\) | −47.5666 | − | 22.5009i | −2.08193 | − | 0.984837i | ||||
\(523\) | 29.4910 | − | 17.0267i | 1.28955 | − | 0.744524i | 0.310978 | − | 0.950417i | \(-0.399343\pi\) |
0.978574 | + | 0.205894i | \(0.0660101\pi\) | |||||||
\(524\) | −2.25431 | −0.0984798 | ||||||||
\(525\) | 0.411596 | + | 0.624538i | 0.0179635 | + | 0.0272571i | ||||
\(526\) | 11.7786 | 0.513570 | ||||||||
\(527\) | −8.38501 | − | 14.5233i | −0.365257 | − | 0.632643i | ||||
\(528\) | −65.2784 | + | 55.0627i | −2.84088 | + | 2.39630i | ||||
\(529\) | −6.73346 | + | 11.6627i | −0.292759 | + | 0.507073i | ||||
\(530\) | 2.95251 | + | 5.11390i | 0.128249 | + | 0.222134i | ||||
\(531\) | 31.6802 | − | 2.59568i | 1.37481 | − | 0.112643i | ||||
\(532\) | −36.6417 | + | 38.0026i | −1.58862 | + | 1.64762i | ||||
\(533\) | − | 1.10269i | − | 0.0477626i | ||||||
\(534\) | −2.62924 | + | 11.7069i | −0.113778 | + | 0.506606i | ||||
\(535\) | −13.7202 | − | 7.92136i | −0.593176 | − | 0.342470i | ||||
\(536\) | 2.48215 | − | 4.29921i | 0.107213 | − | 0.185698i | ||||
\(537\) | 1.56567 | − | 6.97127i | 0.0675638 | − | 0.300832i | ||||
\(538\) | 28.9236i | 1.24699i | ||||||||
\(539\) | −2.06587 | + | 23.1243i | −0.0889831 | + | 0.996033i | ||||
\(540\) | 39.6459 | − | 50.7919i | 1.70609 | − | 2.18574i | ||||
\(541\) | −23.8549 | + | 13.7726i | −1.02560 | + | 0.592132i | −0.915722 | − | 0.401813i | \(-0.868380\pi\) |
−0.109880 | + | 0.993945i | \(0.535047\pi\) | |||||||
\(542\) | −54.9219 | − | 31.7091i | −2.35910 | − | 1.36202i | ||||
\(543\) | 8.47487 | + | 27.1396i | 0.363691 | + | 1.16467i | ||||
\(544\) | −37.6034 | − | 65.1310i | −1.61223 | − | 2.79247i | ||||
\(545\) | 45.5348 | 1.95050 | ||||||||
\(546\) | 0.238326 | + | 4.02749i | 0.0101994 | + | 0.172361i | ||||
\(547\) | − | 37.2298i | − | 1.59183i | −0.605408 | − | 0.795915i | \(-0.706990\pi\) | ||
0.605408 | − | 0.795915i | \(-0.293010\pi\) | |||||||
\(548\) | −59.2677 | + | 34.2182i | −2.53179 | + | 1.46173i | ||||
\(549\) | −0.0902192 | + | 0.190722i | −0.00385046 | + | 0.00813983i | ||||
\(550\) | −1.46665 | − | 0.185129i | −0.0625380 | − | 0.00789391i | ||||
\(551\) | 20.3382 | − | 11.7423i | 0.866437 | − | 0.500238i | ||||
\(552\) | −37.1290 | − | 34.2113i | −1.58032 | − | 1.45613i | ||||
\(553\) | −12.1119 | − | 3.00984i | −0.515050 | − | 0.127991i | ||||
\(554\) | 16.8981i | 0.717933i | ||||||||
\(555\) | 1.19029 | − | 5.29983i | 0.0505249 | − | 0.224965i | ||||
\(556\) | −94.4552 | − | 54.5337i | −4.00579 | − | 2.31275i | ||||
\(557\) | −20.9772 | + | 36.3336i | −0.888834 | + | 1.53951i | −0.0475784 | + | 0.998868i | \(0.515150\pi\) |
−0.841255 | + | 0.540638i | \(0.818183\pi\) | |||||||
\(558\) | −32.6193 | + | 22.5732i | −1.38089 | + | 0.955600i | ||||
\(559\) | −1.87761 | −0.0794143 | ||||||||
\(560\) | −24.7015 | − | 85.8925i | −1.04383 | − | 3.62962i | ||||
\(561\) | 18.7132 | + | 6.75641i | 0.790070 | + | 0.285256i | ||||
\(562\) | −16.0458 | − | 27.7921i | −0.676850 | − | 1.17234i | ||||
\(563\) | −13.2292 | + | 22.9136i | −0.557543 | + | 0.965693i | 0.440158 | + | 0.897921i | \(0.354923\pi\) |
−0.997701 | + | 0.0677726i | \(0.978411\pi\) | |||||||
\(564\) | −24.7310 | + | 7.72274i | −1.04136 | + | 0.325186i | ||||
\(565\) | 13.8146 | + | 23.9276i | 0.581186 | + | 1.00664i | ||||
\(566\) | 7.83373i | 0.329276i | ||||||||
\(567\) | −21.5078 | + | 10.2184i | −0.903242 | + | 0.429132i | ||||
\(568\) | 25.6475i | 1.07615i | ||||||||
\(569\) | −2.29995 | − | 3.98363i | −0.0964190 | − | 0.167003i | 0.813781 | − | 0.581172i | \(-0.197406\pi\) |
−0.910200 | + | 0.414169i | \(0.864072\pi\) | |||||||
\(570\) | 11.7131 | + | 37.5095i | 0.490607 | + | 1.57110i | ||||
\(571\) | 0.338549 | + | 0.195462i | 0.0141678 | + | 0.00817981i | 0.507067 | − | 0.861907i | \(-0.330730\pi\) |
−0.492899 | + | 0.870086i | \(0.664063\pi\) | |||||||
\(572\) | −4.64832 | − | 3.52752i | −0.194356 | − | 0.147493i | ||||
\(573\) | 21.9512 | + | 20.2262i | 0.917026 | + | 0.844964i | ||||
\(574\) | 5.95949 | − | 23.9816i | 0.248744 | − | 1.00097i | ||||
\(575\) | − | 0.503955i | − | 0.0210164i | ||||||
\(576\) | −72.9373 | + | 50.4740i | −3.03905 | + | 2.10308i | ||||
\(577\) | 0.384576 | − | 0.666106i | 0.0160101 | − | 0.0277303i | −0.857909 | − | 0.513801i | \(-0.828237\pi\) |
0.873919 | + | 0.486071i | \(0.161570\pi\) | |||||||
\(578\) | 6.83392 | − | 11.8367i | 0.284254 | − | 0.492342i | ||||
\(579\) | 2.39714 | − | 10.6734i | 0.0996218 | − | 0.443573i | ||||
\(580\) | 79.6472i | 3.30717i | ||||||||
\(581\) | 4.76347 | + | 4.59288i | 0.197622 | + | 0.190545i | ||||
\(582\) | 45.7247 | − | 49.6243i | 1.89535 | − | 2.05699i | ||||
\(583\) | 2.51424 | + | 1.90801i | 0.104129 | + | 0.0790216i | ||||
\(584\) | −30.0869 | − | 17.3707i | −1.24501 | − | 0.718805i | ||||
\(585\) | 1.98669 | + | 0.939783i | 0.0821395 | + | 0.0388552i | ||||
\(586\) | 39.8392 | + | 69.0034i | 1.64574 | + | 2.85051i | ||||
\(587\) | 9.48757i | 0.391594i | 0.980644 | + | 0.195797i | \(0.0627293\pi\) | ||||
−0.980644 | + | 0.195797i | \(0.937271\pi\) | |||||||
\(588\) | −12.1358 | + | 65.0420i | −0.500472 | + | 2.68229i | ||||
\(589\) | − | 17.7041i | − | 0.729485i | ||||||
\(590\) | −32.8728 | − | 56.9374i | −1.35335 | − | 2.34408i | ||||
\(591\) | 11.1580 | + | 35.7319i | 0.458978 | + | 1.46981i | ||||
\(592\) | −10.2588 | + | 17.7688i | −0.421635 | + | 0.730294i | ||||
\(593\) | −9.59837 | − | 16.6249i | −0.394158 | − | 0.682701i | 0.598836 | − | 0.800872i | \(-0.295630\pi\) |
−0.992993 | + | 0.118171i | \(0.962297\pi\) | |||||||
\(594\) | 12.3138 | − | 45.4219i | 0.505240 | − | 1.86368i | ||||
\(595\) | −14.4520 | + | 14.9888i | −0.592476 | + | 0.614481i | ||||
\(596\) | −68.7078 | −2.81438 | ||||||||
\(597\) | 12.8064 | + | 2.87618i | 0.524131 | + | 0.117714i | ||||
\(598\) | 1.35916 | − | 2.35414i | 0.0555803 | − | 0.0962678i | ||||
\(599\) | −15.9831 | − | 9.22787i | −0.653053 | − | 0.377040i | 0.136572 | − | 0.990630i | \(-0.456392\pi\) |
−0.789625 | + | 0.613590i | \(0.789725\pi\) | |||||||
\(600\) | −2.60409 | − | 0.584851i | −0.106311 | − | 0.0238764i | ||||
\(601\) | 33.7686i | 1.37745i | 0.725023 | + | 0.688725i | \(0.241829\pi\) | ||||
−0.725023 | + | 0.688725i | \(0.758171\pi\) | |||||||
\(602\) | −40.8348 | − | 10.1476i | −1.66430 | − | 0.413584i | ||||
\(603\) | 0.128820 | + | 1.57225i | 0.00524596 | + | 0.0640269i | ||||
\(604\) | 42.5957 | − | 24.5926i | 1.73319 | − | 1.00066i | ||||
\(605\) | −24.0729 | + | 6.72656i | −0.978701 | + | 0.273473i | ||||
\(606\) | −14.1950 | − | 45.4576i | −0.576633 | − | 1.84659i | ||||
\(607\) | 27.7845 | − | 16.0414i | 1.12774 | − | 0.651099i | 0.184372 | − | 0.982856i | \(-0.440975\pi\) |
0.943365 | + | 0.331757i | \(0.107641\pi\) | |||||||
\(608\) | − | 79.3958i | − | 3.21992i | ||||||
\(609\) | 13.1857 | − | 26.3157i | 0.534310 | − | 1.06636i | ||||
\(610\) | 0.436392 | 0.0176690 | ||||||||
\(611\) | −0.441863 | − | 0.765329i | −0.0178759 | − | 0.0309619i | ||||
\(612\) | 51.2550 | + | 24.2457i | 2.07186 | + | 0.980073i | ||||
\(613\) | −23.6710 | − | 13.6665i | −0.956063 | − | 0.551983i | −0.0611042 | − | 0.998131i | \(-0.519462\pi\) |
−0.894959 | + | 0.446148i | \(0.852796\pi\) | |||||||
\(614\) | 57.6076 | − | 33.2598i | 2.32485 | − | 1.34225i | ||||
\(615\) | −9.89932 | − | 9.12141i | −0.399179 | − | 0.367811i | ||||
\(616\) | −51.9659 | − | 64.5163i | −2.09377 | − | 2.59944i | ||||
\(617\) | 24.4966i | 0.986194i | 0.869974 | + | 0.493097i | \(0.164135\pi\) | ||||
−0.869974 | + | 0.493097i | \(0.835865\pi\) | |||||||
\(618\) | 33.4128 | + | 7.50418i | 1.34406 | + | 0.301862i | ||||
\(619\) | −14.5794 | + | 25.2523i | −0.585995 | + | 1.01497i | 0.408755 | + | 0.912644i | \(0.365963\pi\) |
−0.994751 | + | 0.102330i | \(0.967370\pi\) | |||||||
\(620\) | 51.9987 | + | 30.0215i | 2.08832 | + | 1.20569i | ||||
\(621\) | 15.8884 | + | 2.22562i | 0.637578 | + | 0.0893109i | ||||
\(622\) | − | 35.7448i | − | 1.43324i | ||||||
\(623\) | −6.51353 | − | 1.61863i | −0.260959 | − | 0.0648490i | ||||
\(624\) | −6.10506 | − | 5.62531i | −0.244398 | − | 0.225192i | ||||
\(625\) | 12.8947 | + | 22.3343i | 0.515789 | + | 0.893373i | ||||
\(626\) | −6.14172 | + | 10.6378i | −0.245472 | + | 0.425171i | ||||
\(627\) | 13.5424 | + | 16.0549i | 0.540831 | + | 0.641170i | ||||
\(628\) | 45.6104 | + | 78.9996i | 1.82005 | + | 3.15243i | ||||
\(629\) | 4.77997 | 0.190590 | ||||||||
\(630\) | 38.1281 | + | 31.1758i | 1.51906 | + | 1.24207i | ||||
\(631\) | −1.93596 | −0.0770693 | −0.0385347 | − | 0.999257i | \(-0.512269\pi\) | ||||
−0.0385347 | + | 0.999257i | \(0.512269\pi\) | |||||||
\(632\) | 38.5665 | − | 22.2664i | 1.53409 | − | 0.885710i | ||||
\(633\) | 33.8449 | − | 10.5687i | 1.34522 | − | 0.420070i | ||||
\(634\) | −50.1111 | − | 28.9316i | −1.99016 | − | 1.14902i | ||||
\(635\) | 11.7393 | + | 20.3331i | 0.465861 | + | 0.806896i | ||||
\(636\) | 6.61503 | + | 6.09520i | 0.262303 | + | 0.241691i | ||||
\(637\) | −2.25531 | + | 0.0822671i | −0.0893588 | + | 0.00325954i | ||||
\(638\) | 22.5487 | + | 53.6259i | 0.892710 | + | 2.12307i | ||||
\(639\) | −4.63779 | − | 6.70182i | −0.183468 | − | 0.265120i | ||||
\(640\) | 73.4184 | + | 42.3882i | 2.90212 | + | 1.67554i | ||||
\(641\) | 10.8520 | + | 6.26539i | 0.428627 | + | 0.247468i | 0.698762 | − | 0.715355i | \(-0.253735\pi\) |
−0.270134 | + | 0.962823i | \(0.587068\pi\) | |||||||
\(642\) | −32.1759 | − | 7.22638i | −1.26988 | − | 0.285203i | ||||
\(643\) | 48.4498 | 1.91068 | 0.955338 | − | 0.295517i | \(-0.0954918\pi\) | ||||
0.955338 | + | 0.295517i | \(0.0954918\pi\) | |||||||
\(644\) | 30.9424 | − | 32.0916i | 1.21930 | − | 1.26459i | ||||
\(645\) | −15.5315 | + | 16.8561i | −0.611554 | + | 0.663710i | ||||
\(646\) | −29.9471 | + | 17.2899i | −1.17825 | + | 0.680264i | ||||
\(647\) | −3.10712 | − | 1.79390i | −0.122153 | − | 0.0705253i | 0.437678 | − | 0.899132i | \(-0.355801\pi\) |
−0.559832 | + | 0.828606i | \(0.689134\pi\) | |||||||
\(648\) | 29.9392 | − | 79.5170i | 1.17612 | − | 3.12372i | ||||
\(649\) | −27.9932 | − | 21.2435i | −1.09883 | − | 0.833879i | ||||
\(650\) | − | 0.143701i | − | 0.00563641i | ||||||
\(651\) | −12.2105 | − | 18.5276i | −0.478566 | − | 0.726155i | ||||
\(652\) | 67.2606 | 2.63413 | ||||||||
\(653\) | −27.1029 | + | 15.6479i | −1.06062 | + | 0.612349i | −0.925604 | − | 0.378494i | \(-0.876442\pi\) |
−0.135016 | + | 0.990843i | \(0.543109\pi\) | |||||||
\(654\) | 90.4745 | − | 28.2524i | 3.53783 | − | 1.10476i | ||||
\(655\) | −0.812901 | − | 0.469328i | −0.0317627 | − | 0.0183382i | ||||
\(656\) | 25.4229 | + | 44.0338i | 0.992598 | + | 1.71923i | ||||
\(657\) | 11.0030 | − | 0.901514i | 0.429267 | − | 0.0351714i | ||||
\(658\) | −5.47354 | − | 19.0327i | −0.213381 | − | 0.741971i | ||||
\(659\) | −22.9779 | −0.895093 | −0.447546 | − | 0.894261i | \(-0.647702\pi\) | ||||
−0.447546 | + | 0.894261i | \(0.647702\pi\) | |||||||
\(660\) | −70.1191 | + | 12.5505i | −2.72938 | + | 0.488528i | ||||
\(661\) | 8.10153 | − | 14.0323i | 0.315113 | − | 0.545792i | −0.664348 | − | 0.747423i | \(-0.731291\pi\) |
0.979462 | + | 0.201631i | \(0.0646242\pi\) | |||||||
\(662\) | −21.6009 | + | 37.4138i | −0.839542 | + | 1.45413i | ||||
\(663\) | −0.423800 | + | 1.88700i | −0.0164590 | + | 0.0732848i | ||||
\(664\) | −23.6113 | −0.916296 | ||||||||
\(665\) | −21.1248 | + | 6.07521i | −0.819185 | + | 0.235587i | ||||
\(666\) | −0.923303 | − | 11.2689i | −0.0357773 | − | 0.436661i | ||||
\(667\) | −17.1748 | + | 9.91586i | −0.665010 | + | 0.383944i | ||||
\(668\) | 8.19970 | − | 14.2023i | 0.317256 | − | 0.549504i | ||||
\(669\) | −12.2890 | − | 39.3537i | −0.475119 | − | 1.52150i | ||||
\(670\) | 2.82573 | − | 1.63143i | 0.109167 | − | 0.0630278i | ||||
\(671\) | 0.215017 | − | 0.0904108i | 0.00830065 | − | 0.00349027i | ||||
\(672\) | −54.7590 | − | 83.0889i | −2.11237 | − | 3.20523i | ||||
\(673\) | 39.5277i | 1.52368i | 0.647765 | + | 0.761840i | \(0.275704\pi\) | ||||
−0.647765 | + | 0.761840i | \(0.724296\pi\) | |||||||
\(674\) | 44.9812 | − | 25.9699i | 1.73261 | − | 1.00032i | ||||
\(675\) | 0.786218 | − | 0.318068i | 0.0302615 | − | 0.0122424i | ||||
\(676\) | −35.1879 | + | 60.9472i | −1.35338 | + | 2.34412i | ||||
\(677\) | 6.76564 | + | 11.7184i | 0.260025 | + | 0.450376i | 0.966248 | − | 0.257613i | \(-0.0829360\pi\) |
−0.706223 | + | 0.707989i | \(0.749603\pi\) | |||||||
\(678\) | 42.2947 | + | 38.9711i | 1.62432 | + | 1.49668i | ||||
\(679\) | 27.1722 | + | 26.1991i | 1.04277 | + | 1.00543i | ||||
\(680\) | − | 74.2958i | − | 2.84911i | ||||||
\(681\) | −39.1607 | − | 8.79509i | −1.50064 | − | 0.337028i | ||||
\(682\) | 43.5097 | + | 5.49204i | 1.66607 | + | 0.210301i | ||||
\(683\) | 1.92470 | + | 1.11123i | 0.0736467 | + | 0.0425200i | 0.536371 | − | 0.843982i | \(-0.319795\pi\) |
−0.462724 | + | 0.886502i | \(0.653128\pi\) | |||||||
\(684\) | 34.0625 | + | 49.2219i | 1.30241 | + | 1.88205i | ||||
\(685\) | −28.4958 | −1.08877 | ||||||||
\(686\) | −49.4939 | − | 10.3997i | −1.88969 | − | 0.397063i | ||||
\(687\) | 17.2362 | − | 18.7062i | 0.657603 | − | 0.713687i | ||||
\(688\) | 74.9788 | − | 43.2890i | 2.85854 | − | 1.65038i | ||||
\(689\) | −0.153406 | + | 0.265707i | −0.00584430 | + | 0.0101226i | ||||
\(690\) | −9.89121 | − | 31.6752i | −0.376552 | − | 1.20586i | ||||
\(691\) | 5.95275 | + | 10.3105i | 0.226453 | + | 0.392229i | 0.956754 | − | 0.290897i | \(-0.0939536\pi\) |
−0.730301 | + | 0.683125i | \(0.760620\pi\) | |||||||
\(692\) | 84.4197 | 3.20915 | ||||||||
\(693\) | 25.2453 | + | 7.46154i | 0.958990 | + | 0.283440i | ||||
\(694\) | 4.27508 | 0.162280 | ||||||||
\(695\) | −22.7070 | − | 39.3296i | −0.861325 | − | 1.49186i | ||||
\(696\) | 31.3065 | + | 100.255i | 1.18667 | + | 3.80015i | ||||
\(697\) | 5.92274 | − | 10.2585i | 0.224340 | − | 0.388568i | ||||
\(698\) | −50.6793 | + | 29.2597i | −1.91824 | + | 1.10750i | ||||
\(699\) | 4.23701 | − | 4.59836i | 0.160258 | − | 0.173926i | ||||
\(700\) | 0.568342 | − | 2.28706i | 0.0214813 | − | 0.0864429i | ||||
\(701\) | 20.7135 | 0.782338 | 0.391169 | − | 0.920319i | \(-0.372071\pi\) | ||||
0.391169 | + | 0.920319i | \(0.372071\pi\) | |||||||
\(702\) | 4.53050 | + | 0.634626i | 0.170993 | + | 0.0239524i | ||||
\(703\) | 4.37015 | + | 2.52311i | 0.164823 | + | 0.0951608i | ||||
\(704\) | 97.2882 | + | 12.2803i | 3.66669 | + | 0.462831i | ||||
\(705\) | −10.5258 | − | 2.36398i | −0.396424 | − | 0.0890328i | ||||
\(706\) | − | 32.9862i | − | 1.24145i | ||||||
\(707\) | 25.6010 | − | 7.36252i | 0.962826 | − | 0.276896i | ||||
\(708\) | −73.6508 | − | 67.8631i | −2.76797 | − | 2.55045i | ||||
\(709\) | 7.09407 | + | 12.2873i | 0.266424 | + | 0.461459i | 0.967936 | − | 0.251198i | \(-0.0808247\pi\) |
−0.701512 | + | 0.712658i | \(0.747491\pi\) | |||||||
\(710\) | −8.42863 | + | 14.5988i | −0.316321 | + | 0.547883i | ||||
\(711\) | −6.05124 | + | 12.7922i | −0.226939 | + | 0.479746i | ||||
\(712\) | 20.7403 | − | 11.9744i | 0.777276 | − | 0.448760i | ||||
\(713\) | 14.9504i | 0.559896i | ||||||||
\(714\) | −19.4152 | + | 38.7486i | −0.726597 | + | 1.45013i | ||||
\(715\) | −0.941779 | − | 2.23976i | −0.0352205 | − | 0.0837624i | ||||
\(716\) | −19.4955 | + | 11.2557i | −0.728580 | + | 0.420646i | ||||
\(717\) | −13.8530 | − | 44.3623i | −0.517350 | − | 1.65674i | ||||
\(718\) | −7.55741 | + | 13.0898i | −0.282040 | + | 0.488508i | ||||
\(719\) | −11.0783 | + | 6.39606i | −0.413151 | + | 0.238533i | −0.692143 | − | 0.721761i | \(-0.743333\pi\) |
0.278992 | + | 0.960293i | \(0.410000\pi\) | |||||||
\(720\) | −101.002 | + | 8.27546i | −3.76412 | + | 0.308408i | ||||
\(721\) | −4.61977 | + | 18.5904i | −0.172049 | + | 0.692343i | ||||
\(722\) | 15.3788 | 0.572341 | ||||||||
\(723\) | 11.3026 | − | 50.3255i | 0.420347 | − | 1.87162i | ||||
\(724\) | 44.7903 | − | 77.5790i | 1.66462 | − | 2.88320i | ||||
\(725\) | −0.524190 | + | 0.907923i | −0.0194679 | + | 0.0337194i | ||||
\(726\) | −43.6575 | + | 28.3014i | −1.62028 | + | 1.05036i | ||||
\(727\) | 13.3345 | 0.494551 | 0.247275 | − | 0.968945i | \(-0.420465\pi\) | ||||
0.247275 | + | 0.968945i | \(0.420465\pi\) | |||||||
\(728\) | 5.58951 | − | 5.79712i | 0.207161 | − | 0.214855i | ||||
\(729\) | 6.55565 | + | 26.1920i | 0.242802 | + | 0.970076i | ||||
\(730\) | −11.4172 | − | 19.7751i | −0.422569 | − | 0.731910i | ||||
\(731\) | −17.4677 | − | 10.0850i | −0.646066 | − | 0.373006i | ||||
\(732\) | 0.634529 | − | 0.198144i | 0.0234529 | − | 0.00732362i | ||||
\(733\) | 7.22449 | − | 4.17106i | 0.266843 | − | 0.154062i | −0.360609 | − | 0.932717i | \(-0.617431\pi\) |
0.627452 | + | 0.778655i | \(0.284098\pi\) | |||||||
\(734\) | −48.0636 | −1.77406 | ||||||||
\(735\) | −17.9174 | + | 20.9275i | −0.660893 | + | 0.771923i | ||||
\(736\) | 67.0464i | 2.47136i | ||||||||
\(737\) | 1.05429 | − | 1.38926i | 0.0388351 | − | 0.0511742i | ||||
\(738\) | −25.3287 | − | 11.9815i | −0.932362 | − | 0.441044i | ||||
\(739\) | 22.3379 | + | 12.8968i | 0.821715 | + | 0.474417i | 0.851007 | − | 0.525154i | \(-0.175992\pi\) |
−0.0292928 | + | 0.999571i | \(0.509326\pi\) | |||||||
\(740\) | −14.8212 | + | 8.55704i | −0.544839 | + | 0.314563i | ||||
\(741\) | −1.38351 | + | 1.50151i | −0.0508247 | + | 0.0551592i | ||||
\(742\) | −4.77234 | + | 4.94960i | −0.175198 | + | 0.181705i | ||||
\(743\) | −33.3225 | −1.22249 | −0.611243 | − | 0.791443i | \(-0.709330\pi\) | ||||
−0.611243 | + | 0.791443i | \(0.709330\pi\) | |||||||
\(744\) | 77.2531 | + | 17.3502i | 2.83223 | + | 0.636091i | ||||
\(745\) | −24.7760 | − | 14.3044i | −0.907721 | − | 0.524073i | ||||
\(746\) | 45.5304 | + | 26.2870i | 1.66699 | + | 0.962435i | ||||
\(747\) | 6.16975 | − | 4.26959i | 0.225739 | − | 0.156216i | ||||
\(748\) | −24.2971 | − | 57.7841i | −0.888392 | − | 2.11280i | ||||
\(749\) | 4.44875 | − | 17.9022i | 0.162554 | − | 0.654133i | ||||
\(750\) | 38.2291 | + | 35.2250i | 1.39593 | + | 1.28623i | ||||
\(751\) | −4.80872 | − | 8.32895i | −0.175473 | − | 0.303928i | 0.764852 | − | 0.644206i | \(-0.222812\pi\) |
−0.940325 | + | 0.340278i | \(0.889479\pi\) | |||||||
\(752\) | 35.2900 | + | 20.3747i | 1.28689 | + | 0.742988i | ||||
\(753\) | 31.5889 | − | 9.86424i | 1.15116 | − | 0.359473i | ||||
\(754\) | −4.89732 | + | 2.82747i | −0.178350 | + | 0.102970i | ||||
\(755\) | 20.4800 | 0.745342 | ||||||||
\(756\) | 69.5951 | + | 28.0187i | 2.53115 | + | 1.01903i | ||||
\(757\) | −28.4198 | −1.03293 | −0.516467 | − | 0.856307i | \(-0.672753\pi\) | ||||
−0.516467 | + | 0.856307i | \(0.672753\pi\) | |||||||
\(758\) | 40.9681 | + | 70.9588i | 1.48803 | + | 2.57734i | ||||
\(759\) | −11.4360 | − | 13.5577i | −0.415100 | − | 0.492112i | ||||
\(760\) | 39.2170 | − | 67.9259i | 1.42255 | − | 2.46393i | ||||
\(761\) | 0.861655 | + | 1.49243i | 0.0312350 | + | 0.0541006i | 0.881220 | − | 0.472706i | \(-0.156723\pi\) |
−0.849985 | + | 0.526806i | \(0.823389\pi\) | |||||||
\(762\) | 35.9411 | + | 33.1167i | 1.30201 | + | 1.19969i | ||||
\(763\) | 14.6537 | + | 50.9539i | 0.530498 | + | 1.84465i | ||||
\(764\) | − | 94.0447i | − | 3.40242i | ||||||
\(765\) | 13.4348 | + | 19.4139i | 0.485735 | + | 0.701909i | ||||
\(766\) | −29.9081 | − | 17.2674i | −1.08062 | − | 0.623898i | ||||
\(767\) | 1.70800 | − | 2.95834i | 0.0616723 | − | 0.106820i | ||||
\(768\) | 72.2459 | + | 16.2257i | 2.60695 | + | 0.585494i | ||||
\(769\) | − | 0.566315i | − | 0.0204218i | −0.999948 | − | 0.0102109i | \(-0.996750\pi\) | ||
0.999948 | − | 0.0102109i | \(-0.00325029\pi\) | |||||||
\(770\) | −8.37727 | − | 53.8010i | −0.301896 | − | 1.93885i | ||||
\(771\) | 24.2702 | + | 22.3630i | 0.874070 | + | 0.805384i | ||||
\(772\) | −29.8487 | + | 17.2332i | −1.07428 | + | 0.620236i | ||||
\(773\) | 22.4019 | + | 12.9337i | 0.805739 | + | 0.465194i | 0.845474 | − | 0.534017i | \(-0.179318\pi\) |
−0.0397349 | + | 0.999210i | \(0.512651\pi\) | |||||||
\(774\) | −20.4015 | + | 43.1286i | −0.733318 | + | 1.55023i | ||||
\(775\) | 0.395166 | + | 0.684448i | 0.0141948 | + | 0.0245861i | ||||
\(776\) | −134.686 | −4.83494 | ||||||||
\(777\) | 6.31361 | − | 0.373607i | 0.226499 | − | 0.0134031i | ||||
\(778\) | 76.6999i | 2.74983i | ||||||||
\(779\) | 10.8299 | − | 6.25263i | 0.388021 | − | 0.224024i | ||||
\(780\) | −2.06400 | − | 6.60968i | −0.0739031 | − | 0.236664i | ||||
\(781\) | −1.12837 | + | 8.93930i | −0.0403763 | + | 0.319873i | ||||
\(782\) | 25.2890 | − | 14.6006i | 0.904334 | − | 0.522117i | ||||
\(783\) | −26.3094 | − | 20.5360i | −0.940222 | − | 0.733896i | ||||
\(784\) | 88.1652 | − | 55.2824i | 3.14876 | − | 1.97437i | ||||
\(785\) | 37.9829i | 1.35567i | ||||||||
\(786\) | −1.90637 | − | 0.428152i | −0.0679981 | − | 0.0152717i | ||||
\(787\) | 5.56046 | + | 3.21033i | 0.198209 | + | 0.114436i | 0.595820 | − | 0.803118i | \(-0.296827\pi\) |
−0.397611 | + | 0.917554i | \(0.630161\pi\) | |||||||
\(788\) | 58.9707 | − | 102.140i | 2.10074 | − | 3.63859i | ||||
\(789\) | 7.28922 | + | 1.63708i | 0.259503 | + | 0.0582817i | ||||
\(790\) | 29.2699 | 1.04138 | ||||||||
\(791\) | −22.3295 | + | 23.1589i | −0.793946 | + | 0.823435i | ||||
\(792\) | −83.3282 | + | 43.3591i | −2.96094 | + | 1.54070i | ||||
\(793\) | 0.0113370 | + | 0.0196362i | 0.000402588 | + | 0.000697302i | ||||
\(794\) | −33.0711 | + | 57.2808i | −1.17365 | + | 2.03282i | ||||
\(795\) | 1.11640 | + | 3.57512i | 0.0395947 | + | 0.126796i | ||||
\(796\) | −20.6770 | − | 35.8137i | −0.732878 | − | 1.26938i | ||||
\(797\) | 17.6823i | 0.626339i | 0.949697 | + | 0.313169i | \(0.101391\pi\) | ||||
−0.949697 | + | 0.313169i | \(0.898609\pi\) | |||||||
\(798\) | −38.2041 | + | 25.1780i | −1.35241 | + | 0.891293i | ||||
\(799\) | − | 9.49331i | − | 0.335849i | ||||||
\(800\) | 1.77216 | + | 3.06948i | 0.0626554 | + | 0.108522i | ||||
\(801\) | −3.25423 | + | 6.87941i | −0.114983 | + | 0.243072i | ||||
\(802\) | −13.8331 | − | 7.98657i | −0.488465 | − | 0.282015i | ||||
\(803\) | −9.72241 | − | 7.37815i | −0.343096 | − | 0.260369i | ||||
\(804\) | 3.36796 | − | 3.65519i | 0.118779 | − | 0.128909i | ||||
\(805\) | 17.8390 | − | 5.13026i | 0.628743 | − | 0.180818i | ||||
\(806\) | 4.26304i | 0.150159i | ||||||||
\(807\) | −4.02004 | + | 17.8995i | −0.141512 | + | 0.630092i | ||||
\(808\) | −47.5269 | + | 82.3190i | −1.67199 | + | 2.89597i | ||||
\(809\) | 15.9937 | − | 27.7019i | 0.562309 | − | 0.973947i | −0.434986 | − | 0.900437i | \(-0.643247\pi\) |
0.997294 | − | 0.0735101i | \(-0.0234201\pi\) | |||||||
\(810\) | 43.1736 | − | 35.4228i | 1.51697 | − | 1.24463i | ||||
\(811\) | − | 41.2236i | − | 1.44756i | −0.690032 | − | 0.723779i | \(-0.742404\pi\) | ||
0.690032 | − | 0.723779i | \(-0.257596\pi\) | |||||||
\(812\) | −89.1258 | + | 25.6314i | −3.12770 | + | 0.899486i | ||||
\(813\) | −29.5814 | − | 27.2568i | −1.03747 | − | 0.955939i | ||||
\(814\) | −7.55647 | + | 9.95739i | −0.264854 | + | 0.349006i | ||||
\(815\) | 24.2541 | + | 14.0031i | 0.849585 | + | 0.490508i | ||||
\(816\) | −26.5818 | − | 85.1246i | −0.930550 | − | 2.97996i | ||||
\(817\) | −10.6467 | − | 18.4406i | −0.372481 | − | 0.645156i | ||||
\(818\) | 63.1267i | 2.20717i | ||||||||
\(819\) | −0.412285 | + | 2.52556i | −0.0144064 | + | 0.0882501i | ||||
\(820\) | 42.4112i | 1.48106i | ||||||||
\(821\) | 9.89106 | + | 17.1318i | 0.345200 | + | 0.597905i | 0.985390 | − | 0.170312i | \(-0.0544776\pi\) |
−0.640190 | + | 0.768217i | \(0.721144\pi\) | |||||||
\(822\) | −56.6192 | + | 17.6805i | −1.97482 | + | 0.616677i | ||||
\(823\) | −4.00863 | + | 6.94315i | −0.139732 | + | 0.242023i | −0.927395 | − | 0.374083i | \(-0.877957\pi\) |
0.787663 | + | 0.616106i | \(0.211291\pi\) | |||||||
\(824\) | −34.1765 | − | 59.1954i | −1.19059 | − | 2.06217i | ||||
\(825\) | −0.881909 | − | 0.318414i | −0.0307041 | − | 0.0110858i | ||||
\(826\) | 53.1346 | − | 55.1081i | 1.84879 | − | 1.91746i | ||||
\(827\) | 35.6853 | 1.24090 | 0.620449 | − | 0.784247i | \(-0.286950\pi\) | ||||
0.620449 | + | 0.784247i | \(0.286950\pi\) | |||||||
\(828\) | −28.7644 | − | 41.5658i | −0.999630 | − | 1.44451i | ||||
\(829\) | −21.9752 | + | 38.0622i | −0.763231 | + | 1.32196i | 0.177945 | + | 0.984040i | \(0.443055\pi\) |
−0.941177 | + | 0.337915i | \(0.890278\pi\) | |||||||
\(830\) | −13.4398 | − | 7.75946i | −0.466501 | − | 0.269335i | ||||
\(831\) | −2.34864 | + | 10.4575i | −0.0814735 | + | 0.362766i | ||||
\(832\) | 9.53222i | 0.330470i | ||||||||
\(833\) | −21.4234 | − | 11.3484i | −0.742278 | − | 0.393198i | ||||
\(834\) | −69.5195 | − | 64.0565i | −2.40726 | − | 2.21809i | ||||
\(835\) | 5.91361 | − | 3.41422i | 0.204649 | − | 0.118154i | ||||
\(836\) | 8.28738 | − | 65.6552i | 0.286625 | − | 2.27073i | ||||
\(837\) | −23.3240 | + | 9.43582i | −0.806196 | + | 0.326150i | ||||
\(838\) | −15.7297 | + | 9.08153i | −0.543372 | + | 0.313716i | ||||
\(839\) | − | 36.9281i | − | 1.27490i | −0.770492 | − | 0.637449i | \(-0.779990\pi\) | ||
0.770492 | − | 0.637449i | \(-0.220010\pi\) | |||||||
\(840\) | −5.80702 | − | 98.1333i | −0.200361 | − | 3.38592i | ||||
\(841\) | 12.2560 | 0.422621 | ||||||||
\(842\) | −14.0935 | − | 24.4106i | −0.485694 | − | 0.841246i | ||||
\(843\) | −6.06721 | − | 19.4294i | −0.208966 | − | 0.669184i | ||||
\(844\) | −96.7464 | − | 55.8565i | −3.33015 | − | 1.92266i | ||||
\(845\) | −25.3774 | + | 14.6517i | −0.873011 | + | 0.504033i | ||||
\(846\) | −22.3807 | + | 1.83374i | −0.769466 | + | 0.0630452i | ||||
\(847\) | −15.2740 | − | 24.7731i | −0.524821 | − | 0.851213i | ||||
\(848\) | − | 14.1474i | − | 0.485822i | ||||||
\(849\) | −1.08880 | + | 4.84794i | −0.0373674 | + | 0.166381i | ||||
\(850\) | 0.771844 | − | 1.33687i | 0.0264740 | − | 0.0458544i | ||||
\(851\) | −3.69041 | − | 2.13066i | −0.126506 | − | 0.0730380i | ||||
\(852\) | −5.62692 | + | 25.0542i | −0.192775 | + | 0.858344i | ||||
\(853\) | − | 3.16126i | − | 0.108239i | −0.998534 | − | 0.0541197i | \(-0.982765\pi\) | ||
0.998534 | − | 0.0541197i | \(-0.0172353\pi\) | |||||||
\(854\) | 0.140436 | + | 0.488326i | 0.00480562 | + | 0.0167102i | ||||
\(855\) | 2.03531 | + | 24.8409i | 0.0696060 | + | 0.849541i | ||||
\(856\) | 32.9113 | + | 57.0041i | 1.12489 | + | 1.94836i | ||||
\(857\) | 28.7479 | − | 49.7927i | 0.982008 | − | 1.70089i | 0.327465 | − | 0.944863i | \(-0.393806\pi\) |
0.654543 | − | 0.756024i | \(-0.272861\pi\) | |||||||
\(858\) | −3.26092 | − | 3.86592i | −0.111326 | − | 0.131980i | ||||
\(859\) | 23.1008 | + | 40.0117i | 0.788188 | + | 1.36518i | 0.927076 | + | 0.374874i | \(0.122314\pi\) |
−0.138888 | + | 0.990308i | \(0.544353\pi\) | |||||||
\(860\) | 72.2160 | 2.46255 | ||||||||
\(861\) | 7.02121 | − | 14.0128i | 0.239282 | − | 0.477555i | ||||
\(862\) | −19.3964 | −0.660645 | ||||||||
\(863\) | −0.349612 | + | 0.201849i | −0.0119009 | + | 0.00687101i | −0.505939 | − | 0.862569i | \(-0.668854\pi\) |
0.494038 | + | 0.869440i | \(0.335520\pi\) | |||||||
\(864\) | −104.599 | + | 42.3159i | −3.55853 | + | 1.43962i | ||||
\(865\) | 30.4417 | + | 17.5755i | 1.03505 | + | 0.597585i | ||||
\(866\) | 26.3074 | + | 45.5657i | 0.893961 | + | 1.54839i | ||||
\(867\) | 5.87436 | − | 6.37536i | 0.199504 | − | 0.216518i | ||||
\(868\) | −16.8605 | + | 67.8483i | −0.572282 | + | 2.30292i | ||||
\(869\) | 14.4218 | − | 6.06408i | 0.489225 | − | 0.205710i | ||||
\(870\) | −15.1271 | + | 67.3543i | −0.512856 | + | 2.28353i | ||||
\(871\) | 0.146819 | + | 0.0847657i | 0.00497476 | + | 0.00287218i | ||||
\(872\) | −163.840 | − | 94.5930i | −5.54832 | − | 3.20332i | ||||
\(873\) | 35.1941 | − | 24.3550i | 1.19114 | − | 0.824292i | ||||
\(874\) | 30.8278 | 1.04276 | ||||||||
\(875\) | −20.1831 | + | 20.9327i | −0.682312 | + | 0.707655i | ||||
\(876\) | −25.5799 | − | 23.5698i | −0.864265 | − | 0.796349i | ||||
\(877\) | −15.1481 | + | 8.74576i | −0.511515 | + | 0.295323i | −0.733456 | − | 0.679737i | \(-0.762094\pi\) |
0.221941 | + | 0.975060i | \(0.428761\pi\) | |||||||
\(878\) | 25.3059 | + | 14.6104i | 0.854032 | + | 0.493075i | ||||
\(879\) | 15.0640 | + | 48.2402i | 0.508095 | + | 1.62710i | ||||
\(880\) | 89.2469 | + | 67.7278i | 3.00851 | + | 2.28310i | ||||
\(881\) | − | 12.0171i | − | 0.404865i | −0.979296 | − | 0.202433i | \(-0.935115\pi\) | ||
0.979296 | − | 0.202433i | \(-0.0648847\pi\) | |||||||
\(882\) | −22.6159 | + | 52.6984i | −0.761518 | + | 1.77445i | ||||
\(883\) | −33.8584 | −1.13942 | −0.569712 | − | 0.821844i | \(-0.692945\pi\) | ||||
−0.569712 | + | 0.821844i | \(0.692945\pi\) | |||||||
\(884\) | 5.27707 | − | 3.04672i | 0.177487 | − | 0.102472i | ||||
\(885\) | −12.4299 | − | 39.8049i | −0.417825 | − | 1.33803i | ||||
\(886\) | 43.3557 | + | 25.0314i | 1.45656 | + | 0.840947i | ||||
\(887\) | 7.23318 | + | 12.5282i | 0.242866 | + | 0.420657i | 0.961530 | − | 0.274701i | \(-0.0885790\pi\) |
−0.718663 | + | 0.695358i | \(0.755246\pi\) | |||||||
\(888\) | −15.2925 | + | 16.5968i | −0.513184 | + | 0.556951i | ||||
\(889\) | −18.9751 | + | 19.6799i | −0.636404 | + | 0.660041i | ||||
\(890\) | 15.7408 | 0.527632 | ||||||||
\(891\) | 13.9335 | − | 26.3980i | 0.466791 | − | 0.884368i | ||||
\(892\) | −64.9480 | + | 112.493i | −2.17462 | + | 3.76655i | ||||
\(893\) | 5.01104 | − | 8.67938i | 0.167688 | − | 0.290445i | ||||
\(894\) | −58.1033 | − | 13.0494i | −1.94327 | − | 0.436438i | ||||
\(895\) | −9.37340 | −0.313318 | ||||||||
\(896\) | −23.8058 | + | 95.7969i | −0.795295 | + | 3.20035i | ||||
\(897\) | 1.16832 | − | 1.26796i | 0.0390091 | − | 0.0423359i | ||||
\(898\) | −59.1955 | + | 34.1766i | −1.97538 | + | 1.14049i | ||||
\(899\) | 15.5507 | − | 26.9345i | 0.518644 | − | 0.898317i | ||||
\(900\) | −2.41553 | − | 1.14264i | −0.0805178 | − | 0.0380881i | ||||
\(901\) | −2.85432 | + | 1.64794i | −0.0950913 | + | 0.0549010i | ||||
\(902\) | 12.0069 | + | 28.5552i | 0.399787 | + | 0.950784i | ||||
\(903\) | −23.8604 | − | 11.9554i | −0.794024 | − | 0.397851i | ||||
\(904\) | − | 114.793i | − | 3.81795i | ||||||
\(905\) | 32.3027 | − | 18.6500i | 1.07378 | − | 0.619945i | ||||
\(906\) | 40.6922 | − | 12.7069i | 1.35191 | − | 0.422160i | ||||
\(907\) | 22.7835 | − | 39.4622i | 0.756514 | − | 1.31032i | −0.188104 | − | 0.982149i | \(-0.560234\pi\) |
0.944618 | − | 0.328172i | \(-0.106432\pi\) | |||||||
\(908\) | 63.2283 | + | 109.515i | 2.09831 | + | 3.63437i | ||||
\(909\) | −2.46658 | − | 30.1046i | −0.0818112 | − | 0.998505i | ||||
\(910\) | 5.08673 | − | 1.46287i | 0.168623 | − | 0.0484938i | ||||
\(911\) | − | 16.2566i | − | 0.538606i | −0.963056 | − | 0.269303i | \(-0.913207\pi\) | ||
0.963056 | − | 0.269303i | \(-0.0867933\pi\) | |||||||
\(912\) | 20.6302 | − | 91.8575i | 0.683136 | − | 3.04171i | ||||
\(913\) | −8.22959 | − | 1.03879i | −0.272360 | − | 0.0343788i | ||||
\(914\) | 69.2562 | + | 39.9851i | 2.29079 | + | 1.32259i | ||||
\(915\) | 0.270063 | + | 0.0606533i | 0.00892800 | + | 0.00200514i | ||||
\(916\) | −80.1422 | −2.64797 | ||||||||
\(917\) | 0.263581 | − | 1.06068i | 0.00870423 | − | 0.0350267i | ||||
\(918\) | 38.7394 | + | 30.2382i | 1.27859 | + | 0.998010i | ||||
\(919\) | −25.5858 | + | 14.7720i | −0.843997 | + | 0.487282i | −0.858621 | − | 0.512611i | \(-0.828678\pi\) |
0.0146236 | + | 0.999893i | \(0.495345\pi\) | |||||||
\(920\) | −33.1171 | + | 57.3605i | −1.09184 | + | 1.89112i | ||||
\(921\) | 40.2734 | − | 12.5762i | 1.32705 | − | 0.414399i | ||||
\(922\) | −18.3719 | − | 31.8212i | −0.605048 | − | 1.04797i | ||||
\(923\) | −0.875866 | −0.0288295 | ||||||||
\(924\) | −36.6093 | − | 74.4249i | −1.20436 | − | 2.44840i | ||||
\(925\) | −0.225269 | −0.00740680 | ||||||||
\(926\) | −8.54428 | − | 14.7991i | −0.280782 | − | 0.486329i | ||||
\(927\) | 19.6347 | + | 9.28799i | 0.644888 | + | 0.305058i | ||||
\(928\) | 69.7385 | − | 120.791i | 2.28928 | − | 3.96515i | ||||
\(929\) | 8.04727 | − | 4.64610i | 0.264022 | − | 0.152433i | −0.362146 | − | 0.932122i | \(-0.617956\pi\) |
0.626168 | + | 0.779688i | \(0.284622\pi\) | |||||||
\(930\) | 38.2713 | + | 35.2638i | 1.25497 | + | 1.15635i | ||||
\(931\) | −13.5964 | − | 21.6838i | −0.445605 | − | 0.710657i | ||||
\(932\) | −19.7005 | −0.645312 | ||||||||
\(933\) | 4.96811 | − | 22.1208i | 0.162649 | − | 0.724203i | ||||
\(934\) | 45.9093 | + | 26.5057i | 1.50220 | + | 0.867294i | ||||
\(935\) | 3.26867 | − | 25.8954i | 0.106897 | − | 0.846870i | ||||
\(936\) | −5.19607 | − | 7.50856i | −0.169839 | − | 0.245425i | ||||
\(937\) | − | 9.10073i | − | 0.297308i | −0.988889 | − | 0.148654i | \(-0.952506\pi\) | ||
0.988889 | − | 0.148654i | \(-0.0474941\pi\) | |||||||
\(938\) | 2.73494 | + | 2.63700i | 0.0892990 | + | 0.0861010i | ||||
\(939\) | −5.27935 | + | 5.72960i | −0.172285 | + | 0.186978i | ||||
\(940\) | 16.9948 | + | 29.4359i | 0.554310 | + | 0.960092i | ||||
\(941\) | −16.3613 | + | 28.3387i | −0.533364 | + | 0.923814i | 0.465876 | + | 0.884850i | \(0.345739\pi\) |
−0.999241 | + | 0.0389641i | \(0.987594\pi\) | |||||||
\(942\) | 23.5668 | + | 75.4693i | 0.767847 | + | 2.45892i | ||||
\(943\) | −9.14538 | + | 5.28009i | −0.297814 | + | 0.171943i | ||||
\(944\) | 157.515i | 5.12667i | ||||||||
\(945\) | 19.2627 | + | 24.5926i | 0.626615 | + | 0.799999i | ||||
\(946\) | 48.6225 | − | 20.4449i | 1.58085 | − | 0.664720i | ||||
\(947\) | 29.8671 | − | 17.2438i | 0.970552 | − | 0.560348i | 0.0711472 | − | 0.997466i | \(-0.477334\pi\) |
0.899404 | + | 0.437118i | \(0.144001\pi\) | |||||||
\(948\) | 42.5595 | − | 13.2900i | 1.38227 | − | 0.431641i | ||||
\(949\) | 0.593211 | − | 1.02747i | 0.0192565 | − | 0.0333532i | ||||
\(950\) | 1.41134 | − | 0.814836i | 0.0457898 | − | 0.0264368i | ||||
\(951\) | −26.9903 | − | 24.8693i | −0.875220 | − | 0.806443i | ||||
\(952\) | 83.1376 | − | 23.9093i | 2.69450 | − | 0.774903i | ||||
\(953\) | −26.8565 | −0.869969 | −0.434984 | − | 0.900438i | \(-0.643246\pi\) | ||||
−0.434984 | + | 0.900438i | \(0.643246\pi\) | |||||||
\(954\) | 4.43642 | + | 6.41083i | 0.143634 | + | 0.207558i | ||||
\(955\) | 19.5794 | − | 33.9124i | 0.633573 | − | 1.09738i | ||||
\(956\) | −73.2141 | + | 126.811i | −2.36791 | + | 4.10135i | ||||
\(957\) | 6.50097 | + | 36.3206i | 0.210147 | + | 1.17408i | ||||
\(958\) | −88.2673 | −2.85179 | ||||||||
\(959\) | −9.17030 | − | 31.8871i | −0.296124 | − | 1.02969i | ||||
\(960\) | 85.5752 | + | 78.8505i | 2.76193 | + | 2.54489i | ||||
\(961\) | 3.77695 | + | 6.54188i | 0.121837 | + | 0.211028i | ||||
\(962\) | −1.05231 | − | 0.607549i | −0.0339277 | − | 0.0195882i | ||||
\(963\) | −18.9078 | − | 8.94415i | −0.609296 | − | 0.288221i | ||||
\(964\) | −140.737 | + | 81.2548i | −4.53285 | + | 2.61704i | ||||
\(965\) | −14.3512 | −0.461983 | ||||||||
\(966\) | 32.2617 | − | 21.2618i | 1.03800 | − | 0.684087i | ||||
\(967\) | − | 11.9502i | − | 0.384292i | −0.981366 | − | 0.192146i | \(-0.938455\pi\) | ||
0.981366 | − | 0.192146i | \(-0.0615447\pi\) | |||||||
\(968\) | 100.591 | + | 25.8055i | 3.23311 | + | 0.829419i | ||||
\(969\) | −20.9360 | + | 6.53766i | −0.672560 | + | 0.210020i | ||||
\(970\) | −76.6645 | − | 44.2622i | −2.46155 | − | 1.42117i | ||||
\(971\) | −1.59954 | + | 0.923496i | −0.0513317 | + | 0.0296364i | −0.525446 | − | 0.850827i | \(-0.676102\pi\) |
0.474115 | + | 0.880463i | \(0.342768\pi\) | |||||||
\(972\) | 46.6922 | − | 71.1091i | 1.49765 | − | 2.28083i | ||||
\(973\) | 36.7028 | − | 38.0660i | 1.17664 | − | 1.22034i | ||||
\(974\) | 14.9181 | 0.478007 | ||||||||
\(975\) | 0.0199727 | − | 0.0889298i | 0.000639639 | − | 0.00284803i | ||||
\(976\) | −0.905443 | − | 0.522758i | −0.0289825 | − | 0.0167331i | ||||
\(977\) | −32.2410 | − | 18.6144i | −1.03148 | − | 0.595526i | −0.114073 | − | 0.993472i | \(-0.536390\pi\) |
−0.917409 | + | 0.397946i | \(0.869723\pi\) | |||||||
\(978\) | 56.8795 | + | 12.7746i | 1.81881 | + | 0.408485i | ||||
\(979\) | 7.75574 | − | 3.26114i | 0.247875 | − | 0.104227i | ||||
\(980\) | 86.7433 | − | 3.16413i | 2.77091 | − | 0.101075i | ||||
\(981\) | 59.9173 | − | 4.90924i | 1.91301 | − | 0.156740i | ||||
\(982\) | −41.9357 | − | 72.6348i | −1.33822 | − | 2.31787i | ||||
\(983\) | 46.9617 | + | 27.1133i | 1.49784 | + | 0.864781i | 0.999997 | − | 0.00248404i | \(-0.000790695\pi\) |
0.497847 | + | 0.867265i | \(0.334124\pi\) | |||||||
\(984\) | 16.6704 | + | 53.3846i | 0.531432 | + | 1.70184i | ||||
\(985\) | 42.5295 | − | 24.5544i | 1.35510 | − | 0.782370i | ||||
\(986\) | −60.7475 | −1.93459 | ||||||||
\(987\) | −0.742006 | − | 12.5392i | −0.0236183 | − | 0.399127i | ||||
\(988\) | 6.43284 | 0.204656 | ||||||||
\(989\) | 8.99070 | + | 15.5724i | 0.285888 | + | 0.495172i | ||||
\(990\) | −61.6805 | − | 2.70400i | −1.96033 | − | 0.0859387i | ||||
\(991\) | −4.47815 | + | 7.75638i | −0.142253 | + | 0.246390i | −0.928345 | − | 0.371720i | \(-0.878768\pi\) |
0.786092 | + | 0.618110i | \(0.212101\pi\) | |||||||
\(992\) | −52.5732 | − | 91.0594i | −1.66920 | − | 2.89114i | ||||
\(993\) | −18.5679 | + | 20.1514i | −0.589234 | + | 0.639486i | ||||
\(994\) | −19.0486 | − | 4.73363i | −0.604186 | − | 0.150142i | ||||
\(995\) | − | 17.2192i | − | 0.545884i | ||||||
\(996\) | −23.0651 | − | 5.18019i | −0.730846 | − | 0.164141i | ||||
\(997\) | 45.2060 | + | 26.0997i | 1.43169 | + | 0.826586i | 0.997250 | − | 0.0741157i | \(-0.0236134\pi\) |
0.434439 | + | 0.900701i | \(0.356947\pi\) | |||||||
\(998\) | −20.2977 | + | 35.1566i | −0.642512 | + | 1.11286i | ||||
\(999\) | 0.994856 | − | 7.10214i | 0.0314759 | − | 0.224702i |
(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 | 231.2.l.b.32.1 | ✓ | 48 | |
3.2 | odd | 2 | inner | 231.2.l.b.32.24 | yes | 48 | |
7.2 | even | 3 | inner | 231.2.l.b.65.2 | yes | 48 | |
11.10 | odd | 2 | inner | 231.2.l.b.32.23 | yes | 48 | |
21.2 | odd | 6 | inner | 231.2.l.b.65.23 | yes | 48 | |
33.32 | even | 2 | inner | 231.2.l.b.32.2 | yes | 48 | |
77.65 | odd | 6 | inner | 231.2.l.b.65.24 | yes | 48 | |
231.65 | even | 6 | inner | 231.2.l.b.65.1 | yes | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
231.2.l.b.32.1 | ✓ | 48 | 1.1 | even | 1 | trivial | |
231.2.l.b.32.2 | yes | 48 | 33.32 | even | 2 | inner | |
231.2.l.b.32.23 | yes | 48 | 11.10 | odd | 2 | inner | |
231.2.l.b.32.24 | yes | 48 | 3.2 | odd | 2 | inner | |
231.2.l.b.65.1 | yes | 48 | 231.65 | even | 6 | inner | |
231.2.l.b.65.2 | yes | 48 | 7.2 | even | 3 | inner | |
231.2.l.b.65.23 | yes | 48 | 21.2 | odd | 6 | inner | |
231.2.l.b.65.24 | yes | 48 | 77.65 | odd | 6 | inner |