Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [819,2,Mod(176,819)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(819, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([10, 0, 11]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("819.176");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 819 = 3^{2} \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 819.ew (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: | \(6.53974792554\) |
Analytic rank: | \(0\) |
Dimension: | \(336\) |
Relative dimension: | \(84\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 176.8 | ||
Character | \(\chi\) | \(=\) | 819.176 |
Dual form | 819.2.ew.a.470.8 |
$q$-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 \(\left(\mathbb{Z}/819\mathbb{Z}\right)^\times\).
\(n\) | \(92\) | \(379\) | \(703\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(e\left(\frac{11}{12}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.64739 | + | 1.64739i | −1.16488 | + | 1.16488i | −0.181485 | + | 0.983394i | \(0.558090\pi\) |
−0.983394 | + | 0.181485i | \(0.941910\pi\) | |||||||
\(3\) | 1.05743 | + | 1.37180i | 0.610508 | + | 0.792010i | ||||
\(4\) | − | 3.42777i | − | 1.71389i | ||||||
\(5\) | −0.520990 | − | 1.94436i | −0.232994 | − | 0.869544i | −0.979043 | − | 0.203654i | \(-0.934718\pi\) |
0.746049 | − | 0.665891i | \(-0.231948\pi\) | |||||||
\(6\) | −4.00189 | − | 0.517890i | −1.63376 | − | 0.211428i | ||||
\(7\) | −0.258819 | − | 0.965926i | −0.0978244 | − | 0.365086i | ||||
\(8\) | 2.35209 | + | 2.35209i | 0.831591 | + | 0.831591i | ||||
\(9\) | −0.763679 | + | 2.90117i | −0.254560 | + | 0.967057i | ||||
\(10\) | 4.06139 | + | 2.34484i | 1.28432 | + | 0.741505i | ||||
\(11\) | −2.78417 | − | 2.78417i | −0.839459 | − | 0.839459i | 0.149329 | − | 0.988788i | \(-0.452289\pi\) |
−0.988788 | + | 0.149329i | \(0.952289\pi\) | |||||||
\(12\) | 4.70222 | − | 3.62463i | 1.35741 | − | 1.04634i | ||||
\(13\) | 2.45065 | + | 2.64467i | 0.679689 | + | 0.733501i | ||||
\(14\) | 2.01763 | + | 1.16488i | 0.539234 | + | 0.311327i | ||||
\(15\) | 2.11637 | − | 2.77072i | 0.546443 | − | 0.715397i | ||||
\(16\) | −0.894078 | −0.223520 | ||||||||
\(17\) | 2.25519 | + | 3.90611i | 0.546965 | + | 0.947371i | 0.998480 | + | 0.0551076i | \(0.0175502\pi\) |
−0.451516 | + | 0.892263i | \(0.649116\pi\) | |||||||
\(18\) | −3.52128 | − | 6.03743i | −0.829973 | − | 1.42304i | ||||
\(19\) | −1.93979 | + | 7.23941i | −0.445019 | + | 1.66084i | 0.270866 | + | 0.962617i | \(0.412690\pi\) |
−0.715885 | + | 0.698218i | \(0.753977\pi\) | |||||||
\(20\) | −6.66483 | + | 1.78583i | −1.49030 | + | 0.399325i | ||||
\(21\) | 1.05138 | − | 1.37645i | 0.229429 | − | 0.300366i | ||||
\(22\) | 9.17322 | 1.95574 | ||||||||
\(23\) | −0.977696 | − | 1.69342i | −0.203864 | − | 0.353102i | 0.745906 | − | 0.666051i | \(-0.232017\pi\) |
−0.949770 | + | 0.312948i | \(0.898683\pi\) | |||||||
\(24\) | −0.739429 | + | 5.71378i | −0.150935 | + | 1.16632i | ||||
\(25\) | 0.821019 | − | 0.474016i | 0.164204 | − | 0.0948031i | ||||
\(26\) | −8.39398 | − | 0.319631i | −1.64619 | − | 0.0626847i | ||||
\(27\) | −4.78737 | + | 2.02017i | −0.921330 | + | 0.388783i | ||||
\(28\) | −3.31097 | + | 0.887173i | −0.625715 | + | 0.167660i | ||||
\(29\) | 0.878993i | 0.163225i | 0.996664 | + | 0.0816124i | \(0.0260070\pi\) | ||||
−0.996664 | + | 0.0816124i | \(0.973993\pi\) | |||||||
\(30\) | 1.07798 | + | 8.05093i | 0.196811 | + | 1.46989i | ||||
\(31\) | −4.60878 | + | 1.23492i | −0.827761 | + | 0.221798i | −0.647737 | − | 0.761864i | \(-0.724284\pi\) |
−0.180024 | + | 0.983662i | \(0.557618\pi\) | |||||||
\(32\) | −3.23130 | + | 3.23130i | −0.571218 | + | 0.571218i | ||||
\(33\) | 0.875261 | − | 6.76340i | 0.152363 | − | 1.17736i | ||||
\(34\) | −10.1501 | − | 2.71970i | −1.74072 | − | 0.466425i | ||||
\(35\) | −1.74327 | + | 1.00648i | −0.294666 | + | 0.170125i | ||||
\(36\) | 9.94455 | + | 2.61772i | 1.65743 | + | 0.436286i | ||||
\(37\) | 2.15259 | + | 8.03357i | 0.353884 | + | 1.32071i | 0.881884 | + | 0.471467i | \(0.156275\pi\) |
−0.528000 | + | 0.849244i | \(0.677058\pi\) | |||||||
\(38\) | −8.73053 | − | 15.1217i | −1.41628 | − | 2.45307i | ||||
\(39\) | −1.03657 | + | 6.15837i | −0.165985 | + | 0.986128i | ||||
\(40\) | 3.34790 | − | 5.79874i | 0.529350 | − | 0.916861i | ||||
\(41\) | −4.80563 | − | 1.28766i | −0.750513 | − | 0.201099i | −0.136767 | − | 0.990603i | \(-0.543671\pi\) |
−0.613746 | + | 0.789504i | \(0.710338\pi\) | |||||||
\(42\) | 0.535522 | + | 3.99957i | 0.0826328 | + | 0.617147i | ||||
\(43\) | 7.06445 | + | 4.07866i | 1.07732 | + | 0.621990i | 0.930172 | − | 0.367124i | \(-0.119658\pi\) |
0.147147 | + | 0.989115i | \(0.452991\pi\) | |||||||
\(44\) | −9.54350 | + | 9.54350i | −1.43874 | + | 1.43874i | ||||
\(45\) | 6.03879 | − | 0.0266141i | 0.900210 | − | 0.00396740i | ||||
\(46\) | 4.40036 | + | 1.17907i | 0.648798 | + | 0.173845i | ||||
\(47\) | −2.82889 | + | 10.5576i | −0.412637 | + | 1.53998i | 0.376886 | + | 0.926260i | \(0.376995\pi\) |
−0.789523 | + | 0.613721i | \(0.789672\pi\) | |||||||
\(48\) | −0.945426 | − | 1.22650i | −0.136461 | − | 0.177030i | ||||
\(49\) | −0.866025 | + | 0.500000i | −0.123718 | + | 0.0714286i | ||||
\(50\) | −0.571649 | + | 2.13342i | −0.0808434 | + | 0.301712i | ||||
\(51\) | −2.97370 | + | 7.22412i | −0.416401 | + | 1.01158i | ||||
\(52\) | 9.06534 | − | 8.40028i | 1.25714 | − | 1.16491i | ||||
\(53\) | 3.40956i | 0.468339i | 0.972196 | + | 0.234170i | \(0.0752371\pi\) | ||||
−0.972196 | + | 0.234170i | \(0.924763\pi\) | |||||||
\(54\) | 4.55864 | − | 11.2147i | 0.620353 | − | 1.52612i | ||||
\(55\) | −3.96291 | + | 6.86396i | −0.534358 | + | 0.925536i | ||||
\(56\) | 1.66318 | − | 2.88072i | 0.222252 | − | 0.384952i | ||||
\(57\) | −11.9822 | + | 4.99417i | −1.58709 | + | 0.661494i | ||||
\(58\) | −1.44804 | − | 1.44804i | −0.190137 | − | 0.190137i | ||||
\(59\) | 2.76499 | + | 2.76499i | 0.359971 | + | 0.359971i | 0.863802 | − | 0.503831i | \(-0.168077\pi\) |
−0.503831 | + | 0.863802i | \(0.668077\pi\) | |||||||
\(60\) | −9.49740 | − | 7.25442i | −1.22611 | − | 0.936542i | ||||
\(61\) | −5.49904 | + | 9.52461i | −0.704080 | + | 1.21950i | 0.262943 | + | 0.964811i | \(0.415307\pi\) |
−0.967023 | + | 0.254691i | \(0.918026\pi\) | |||||||
\(62\) | 5.55805 | − | 9.62683i | 0.705873 | − | 1.22261i | ||||
\(63\) | 2.99997 | − | 0.0132215i | 0.377961 | − | 0.00166575i | ||||
\(64\) | − | 12.4345i | − | 1.55432i | ||||||
\(65\) | 3.86544 | − | 6.14280i | 0.479448 | − | 0.761921i | ||||
\(66\) | 9.70005 | + | 12.5838i | 1.19399 | + | 1.54896i | ||||
\(67\) | 2.95513 | − | 11.0287i | 0.361027 | − | 1.34737i | −0.511702 | − | 0.859163i | \(-0.670985\pi\) |
0.872728 | − | 0.488206i | \(-0.162349\pi\) | |||||||
\(68\) | 13.3893 | − | 7.73029i | 1.62369 | − | 0.937435i | ||||
\(69\) | 1.28919 | − | 3.13188i | 0.155200 | − | 0.377034i | ||||
\(70\) | 1.21378 | − | 4.52989i | 0.145074 | − | 0.541425i | ||||
\(71\) | −6.54456 | − | 1.75361i | −0.776696 | − | 0.208115i | −0.151369 | − | 0.988477i | \(-0.548368\pi\) |
−0.625328 | + | 0.780362i | \(0.715035\pi\) | |||||||
\(72\) | −8.62007 | + | 5.02758i | −1.01589 | + | 0.592507i | ||||
\(73\) | 7.36921 | − | 7.36921i | 0.862501 | − | 0.862501i | −0.129127 | − | 0.991628i | \(-0.541218\pi\) |
0.991628 | + | 0.129127i | \(0.0412176\pi\) | |||||||
\(74\) | −16.7806 | − | 9.68826i | −1.95070 | − | 1.12624i | ||||
\(75\) | 1.51843 | + | 0.625036i | 0.175333 | + | 0.0721730i | ||||
\(76\) | 24.8151 | + | 6.64918i | 2.84648 | + | 0.762713i | ||||
\(77\) | −1.96871 | + | 3.40990i | −0.224355 | + | 0.388594i | ||||
\(78\) | −8.43758 | − | 11.8529i | −0.955368 | − | 1.34207i | ||||
\(79\) | 2.21880 | + | 3.84308i | 0.249635 | + | 0.432380i | 0.963424 | − | 0.267980i | \(-0.0863561\pi\) |
−0.713790 | + | 0.700360i | \(0.753023\pi\) | |||||||
\(80\) | 0.465806 | + | 1.73841i | 0.0520787 | + | 0.194360i | ||||
\(81\) | −7.83359 | − | 4.43113i | −0.870399 | − | 0.492347i | ||||
\(82\) | 10.0380 | − | 5.79545i | 1.10851 | − | 0.640000i | ||||
\(83\) | 3.06217 | + | 0.820507i | 0.336117 | + | 0.0900623i | 0.422930 | − | 0.906162i | \(-0.361002\pi\) |
−0.0868130 | + | 0.996225i | \(0.527668\pi\) | |||||||
\(84\) | −4.71815 | − | 3.60387i | −0.514793 | − | 0.393215i | ||||
\(85\) | 6.41995 | − | 6.41995i | 0.696342 | − | 0.696342i | ||||
\(86\) | −18.3570 | + | 4.91875i | −1.97949 | + | 0.530403i | ||||
\(87\) | −1.20580 | + | 0.929474i | −0.129276 | + | 0.0996501i | ||||
\(88\) | − | 13.0973i | − | 1.39617i | ||||||
\(89\) | 8.36057 | − | 2.24021i | 0.886218 | − | 0.237461i | 0.213130 | − | 0.977024i | \(-0.431634\pi\) |
0.673088 | + | 0.739562i | \(0.264967\pi\) | |||||||
\(90\) | −9.90439 | + | 9.99208i | −1.04401 | + | 1.05326i | ||||
\(91\) | 1.92028 | − | 3.05164i | 0.201300 | − | 0.319899i | ||||
\(92\) | −5.80466 | + | 3.35132i | −0.605177 | + | 0.349399i | ||||
\(93\) | −6.56753 | − | 5.01649i | −0.681021 | − | 0.520185i | ||||
\(94\) | −12.7321 | − | 22.0527i | −1.31322 | − | 2.27456i | ||||
\(95\) | 15.0866 | 1.54786 | ||||||||
\(96\) | −7.84957 | − | 1.01582i | −0.801143 | − | 0.103677i | ||||
\(97\) | −4.96713 | + | 1.33094i | −0.504336 | + | 0.135136i | −0.502011 | − | 0.864861i | \(-0.667406\pi\) |
−0.00232423 | + | 0.999997i | \(0.500740\pi\) | |||||||
\(98\) | 0.602986 | − | 2.25037i | 0.0609108 | − | 0.227322i | ||||
\(99\) | 10.2036 | − | 5.95114i | 1.02550 | − | 0.598113i | ||||
\(100\) | −1.62482 | − | 2.81427i | −0.162482 | − | 0.281427i | ||||
\(101\) | 5.57598 | 0.554831 | 0.277416 | − | 0.960750i | \(-0.410522\pi\) | ||||
0.277416 | + | 0.960750i | \(0.410522\pi\) | |||||||
\(102\) | −7.00210 | − | 16.7998i | −0.693311 | − | 1.66342i | ||||
\(103\) | −10.9944 | − | 6.34760i | −1.08331 | − | 0.625448i | −0.151521 | − | 0.988454i | \(-0.548417\pi\) |
−0.931787 | + | 0.363006i | \(0.881750\pi\) | |||||||
\(104\) | −0.456360 | + | 11.9847i | −0.0447498 | + | 1.17520i | ||||
\(105\) | −3.22407 | − | 1.32714i | −0.314637 | − | 0.129515i | ||||
\(106\) | −5.61687 | − | 5.61687i | −0.545558 | − | 0.545558i | ||||
\(107\) | −4.54128 | − | 2.62191i | −0.439022 | − | 0.253470i | 0.264160 | − | 0.964479i | \(-0.414905\pi\) |
−0.703183 | + | 0.711009i | \(0.748238\pi\) | |||||||
\(108\) | 6.92469 | + | 16.4100i | 0.666329 | + | 1.57905i | ||||
\(109\) | 0.714136 | + | 0.714136i | 0.0684018 | + | 0.0684018i | 0.740480 | − | 0.672078i | \(-0.234598\pi\) |
−0.672078 | + | 0.740480i | \(0.734598\pi\) | |||||||
\(110\) | −4.77915 | − | 17.8360i | −0.455674 | − | 1.70060i | ||||
\(111\) | −8.74425 | + | 11.4479i | −0.829968 | + | 1.08658i | ||||
\(112\) | 0.231405 | + | 0.863613i | 0.0218657 | + | 0.0816038i | ||||
\(113\) | 19.7320i | 1.85623i | 0.372290 | + | 0.928116i | \(0.378573\pi\) | ||||
−0.372290 | + | 0.928116i | \(0.621427\pi\) | |||||||
\(114\) | 11.5121 | − | 27.9667i | 1.07820 | − | 2.61932i | ||||
\(115\) | −2.78325 | + | 2.78325i | −0.259539 | + | 0.259539i | ||||
\(116\) | 3.01299 | 0.279749 | ||||||||
\(117\) | −9.54417 | + | 5.09008i | −0.882358 | + | 0.470578i | ||||
\(118\) | −9.11001 | −0.838645 | ||||||||
\(119\) | 3.18933 | − | 3.18933i | 0.292365 | − | 0.292365i | ||||
\(120\) | 11.4949 | − | 1.53911i | 1.04934 | − | 0.140501i | ||||
\(121\) | 4.50321i | 0.409383i | ||||||||
\(122\) | −6.63168 | − | 24.7498i | −0.600404 | − | 2.24074i | ||||
\(123\) | −3.31520 | − | 7.95398i | −0.298922 | − | 0.717186i | ||||
\(124\) | 4.23302 | + | 15.7978i | 0.380136 | + | 1.41869i | ||||
\(125\) | −8.46625 | − | 8.46625i | −0.757245 | − | 0.757245i | ||||
\(126\) | −4.92033 | + | 4.96390i | −0.438338 | + | 0.442219i | ||||
\(127\) | −13.8367 | − | 7.98861i | −1.22781 | − | 0.708875i | −0.261236 | − | 0.965275i | \(-0.584130\pi\) |
−0.966571 | + | 0.256400i | \(0.917464\pi\) | |||||||
\(128\) | 14.0219 | + | 14.0219i | 1.23938 | + | 1.23938i | ||||
\(129\) | 1.87506 | + | 14.0039i | 0.165089 | + | 1.23298i | ||||
\(130\) | 3.75170 | + | 16.4874i | 0.329046 | + | 1.44604i | ||||
\(131\) | 11.3510 | + | 6.55351i | 0.991742 | + | 0.572583i | 0.905795 | − | 0.423717i | \(-0.139275\pi\) |
0.0859477 | + | 0.996300i | \(0.472608\pi\) | |||||||
\(132\) | −23.1834 | − | 3.00019i | −2.01786 | − | 0.261133i | ||||
\(133\) | 7.49479 | 0.649881 | ||||||||
\(134\) | 13.3003 | + | 23.0368i | 1.14897 | + | 1.99007i | ||||
\(135\) | 6.42212 | + | 8.25588i | 0.552728 | + | 0.710553i | ||||
\(136\) | −3.88311 | + | 14.4920i | −0.332974 | + | 1.24268i | ||||
\(137\) | 4.91619 | − | 1.31729i | 0.420019 | − | 0.112544i | −0.0426185 | − | 0.999091i | \(-0.513570\pi\) |
0.462637 | + | 0.886548i | \(0.346903\pi\) | |||||||
\(138\) | 3.03563 | + | 7.28321i | 0.258410 | + | 0.619988i | ||||
\(139\) | 13.1680 | 1.11690 | 0.558448 | − | 0.829539i | \(-0.311397\pi\) | ||||
0.558448 | + | 0.829539i | \(0.311397\pi\) | |||||||
\(140\) | 3.44997 | + | 5.97552i | 0.291575 | + | 0.505024i | ||||
\(141\) | −17.4743 | + | 7.28323i | −1.47160 | + | 0.613359i | ||||
\(142\) | 13.6703 | − | 7.89255i | 1.14719 | − | 0.662328i | ||||
\(143\) | 0.540192 | − | 14.1863i | 0.0451732 | − | 1.18631i | ||||
\(144\) | 0.682789 | − | 2.59387i | 0.0568991 | − | 0.216156i | ||||
\(145\) | 1.70908 | − | 0.457946i | 0.141931 | − | 0.0380304i | ||||
\(146\) | 24.2799i | 2.00942i | ||||||||
\(147\) | −1.60166 | − | 0.659299i | −0.132103 | − | 0.0543781i | ||||
\(148\) | 27.5373 | − | 7.37859i | 2.26355 | − | 0.606516i | ||||
\(149\) | −1.08089 | + | 1.08089i | −0.0885497 | + | 0.0885497i | −0.749994 | − | 0.661444i | \(-0.769944\pi\) |
0.661444 | + | 0.749994i | \(0.269944\pi\) | |||||||
\(150\) | −3.53112 | + | 1.47176i | −0.288314 | + | 0.120169i | ||||
\(151\) | 13.6832 | + | 3.66641i | 1.11352 | + | 0.298368i | 0.768260 | − | 0.640138i | \(-0.221123\pi\) |
0.345264 | + | 0.938506i | \(0.387789\pi\) | |||||||
\(152\) | −21.5904 | + | 12.4652i | −1.75121 | + | 1.01106i | ||||
\(153\) | −13.0545 | + | 3.55969i | −1.05540 | + | 0.287784i | ||||
\(154\) | −2.37420 | − | 8.86065i | −0.191319 | − | 0.714011i | ||||
\(155\) | 4.80225 | + | 8.31774i | 0.385726 | + | 0.668097i | ||||
\(156\) | 21.1095 | + | 3.55314i | 1.69011 | + | 0.284479i | ||||
\(157\) | 10.6198 | − | 18.3940i | 0.847551 | − | 1.46800i | −0.0358370 | − | 0.999358i | \(-0.511410\pi\) |
0.883388 | − | 0.468643i | \(-0.155257\pi\) | |||||||
\(158\) | −9.98626 | − | 2.67581i | −0.794464 | − | 0.212876i | ||||
\(159\) | −4.67724 | + | 3.60537i | −0.370929 | + | 0.285925i | ||||
\(160\) | 7.96628 | + | 4.59933i | 0.629789 | + | 0.363609i | ||||
\(161\) | −1.38267 | + | 1.38267i | −0.108970 | + | 0.108970i | ||||
\(162\) | 20.2047 | − | 5.60518i | 1.58743 | − | 0.440384i | ||||
\(163\) | −9.40032 | − | 2.51881i | −0.736290 | − | 0.197288i | −0.128861 | − | 0.991663i | \(-0.541132\pi\) |
−0.607428 | + | 0.794374i | \(0.707799\pi\) | |||||||
\(164\) | −4.41382 | + | 16.4726i | −0.344661 | + | 1.28629i | ||||
\(165\) | −13.6065 | + | 1.82184i | −1.05926 | + | 0.141830i | ||||
\(166\) | −6.39628 | + | 3.69289i | −0.496447 | + | 0.286624i | ||||
\(167\) | 0.922150 | − | 3.44151i | 0.0713581 | − | 0.266312i | −0.921025 | − | 0.389504i | \(-0.872646\pi\) |
0.992383 | + | 0.123192i | \(0.0393131\pi\) | |||||||
\(168\) | 5.71047 | − | 0.764603i | 0.440572 | − | 0.0589904i | ||||
\(169\) | −0.988609 | + | 12.9624i | −0.0760469 | + | 0.997104i | ||||
\(170\) | 21.1523i | 1.62231i | ||||||||
\(171\) | −19.5214 | − | 11.1563i | −1.49284 | − | 0.853141i | ||||
\(172\) | 13.9807 | − | 24.2153i | 1.06602 | − | 1.84640i | ||||
\(173\) | −7.06686 | + | 12.2402i | −0.537283 | + | 0.930602i | 0.461766 | + | 0.887002i | \(0.347216\pi\) |
−0.999049 | + | 0.0436000i | \(0.986117\pi\) | |||||||
\(174\) | 0.455221 | − | 3.51763i | 0.0345102 | − | 0.266671i | ||||
\(175\) | −0.670359 | − | 0.670359i | −0.0506744 | − | 0.0506744i | ||||
\(176\) | 2.48927 | + | 2.48927i | 0.187636 | + | 0.187636i | ||||
\(177\) | −0.869230 | + | 6.71680i | −0.0653353 | + | 0.504865i | ||||
\(178\) | −10.0826 | + | 17.4636i | −0.755723 | + | 1.30895i | ||||
\(179\) | 7.28679 | − | 12.6211i | 0.544640 | − | 0.943344i | −0.453989 | − | 0.891007i | \(-0.650000\pi\) |
0.998629 | − | 0.0523372i | \(-0.0166671\pi\) | |||||||
\(180\) | −0.0912272 | − | 20.6996i | −0.00679967 | − | 1.54286i | ||||
\(181\) | 24.2772i | 1.80451i | 0.431206 | + | 0.902254i | \(0.358088\pi\) | ||||
−0.431206 | + | 0.902254i | \(0.641912\pi\) | |||||||
\(182\) | 1.86378 | + | 8.19069i | 0.138153 | + | 0.607134i | ||||
\(183\) | −18.8807 | + | 2.52803i | −1.39570 | + | 0.186878i | ||||
\(184\) | 1.68345 | − | 6.28272i | 0.124106 | − | 0.463168i | ||||
\(185\) | 14.4987 | − | 8.37082i | 1.06596 | − | 0.615435i | ||||
\(186\) | 19.0834 | − | 2.55516i | 1.39926 | − | 0.187354i | ||||
\(187\) | 4.59643 | − | 17.1541i | 0.336124 | − | 1.25443i | ||||
\(188\) | 36.1890 | + | 9.69681i | 2.63935 | + | 0.707212i | ||||
\(189\) | 3.19040 | + | 4.10138i | 0.232067 | + | 0.298332i | ||||
\(190\) | −24.8536 | + | 24.8536i | −1.80307 | + | 1.80307i | ||||
\(191\) | −6.62904 | − | 3.82728i | −0.479661 | − | 0.276932i | 0.240614 | − | 0.970621i | \(-0.422651\pi\) |
−0.720275 | + | 0.693689i | \(0.755984\pi\) | |||||||
\(192\) | 17.0577 | − | 13.1487i | 1.23104 | − | 0.948924i | ||||
\(193\) | 10.8542 | + | 2.90838i | 0.781305 | + | 0.209350i | 0.627360 | − | 0.778729i | \(-0.284135\pi\) |
0.153945 | + | 0.988079i | \(0.450802\pi\) | |||||||
\(194\) | 5.99022 | − | 10.3754i | 0.430073 | − | 0.744908i | ||||
\(195\) | 12.5141 | − | 1.19298i | 0.896156 | − | 0.0854308i | ||||
\(196\) | 1.71389 | + | 2.96854i | 0.122420 | + | 0.212038i | ||||
\(197\) | −0.313070 | − | 1.16839i | −0.0223053 | − | 0.0832446i | 0.953876 | − | 0.300201i | \(-0.0970537\pi\) |
−0.976181 | + | 0.216956i | \(0.930387\pi\) | |||||||
\(198\) | −7.00539 | + | 26.6131i | −0.497851 | + | 1.89131i | ||||
\(199\) | −21.6089 | + | 12.4759i | −1.53181 | + | 0.884392i | −0.532533 | + | 0.846409i | \(0.678760\pi\) |
−0.999278 | + | 0.0379828i | \(0.987907\pi\) | |||||||
\(200\) | 3.04604 | + | 0.816185i | 0.215388 | + | 0.0577130i | ||||
\(201\) | 18.2540 | − | 7.60824i | 1.28754 | − | 0.536644i | ||||
\(202\) | −9.18581 | + | 9.18581i | −0.646311 | + | 0.646311i | ||||
\(203\) | 0.849042 | − | 0.227500i | 0.0595911 | − | 0.0159674i | ||||
\(204\) | 24.7626 | + | 10.1932i | 1.73373 | + | 0.713663i | ||||
\(205\) | 10.0147i | 0.699459i | ||||||||
\(206\) | 28.5690 | − | 7.65503i | 1.99049 | − | 0.533351i | ||||
\(207\) | 5.65955 | − | 1.54324i | 0.393366 | − | 0.107262i | ||||
\(208\) | −2.19108 | − | 2.36455i | −0.151924 | − | 0.163952i | ||||
\(209\) | 25.5565 | − | 14.7550i | 1.76778 | − | 1.02063i | ||||
\(210\) | 7.49760 | − | 3.12498i | 0.517383 | − | 0.215644i | ||||
\(211\) | −4.91520 | − | 8.51338i | −0.338377 | − | 0.586085i | 0.645751 | − | 0.763548i | \(-0.276544\pi\) |
−0.984128 | + | 0.177463i | \(0.943211\pi\) | |||||||
\(212\) | 11.6872 | 0.802680 | ||||||||
\(213\) | −4.51482 | − | 10.8322i | −0.309350 | − | 0.742207i | ||||
\(214\) | 11.8006 | − | 3.16195i | 0.806670 | − | 0.216146i | ||||
\(215\) | 4.24988 | − | 15.8608i | 0.289840 | − | 1.08170i | ||||
\(216\) | −16.0120 | − | 6.50870i | −1.08948 | − | 0.442861i | ||||
\(217\) | 2.38568 | + | 4.13212i | 0.161950 | + | 0.280506i | ||||
\(218\) | −2.35292 | −0.159360 | ||||||||
\(219\) | 17.9015 | + | 2.31666i | 1.20967 | + | 0.156545i | ||||
\(220\) | 23.5281 | + | 13.5839i | 1.58626 | + | 0.915829i | ||||
\(221\) | −4.80370 | + | 15.5368i | −0.323132 | + | 1.04512i | ||||
\(222\) | −4.45392 | − | 33.2643i | −0.298927 | − | 2.23255i | ||||
\(223\) | 2.21662 | + | 2.21662i | 0.148436 | + | 0.148436i | 0.777419 | − | 0.628983i | \(-0.216529\pi\) |
−0.628983 | + | 0.777419i | \(0.716529\pi\) | |||||||
\(224\) | 3.95751 | + | 2.28487i | 0.264422 | + | 0.152664i | ||||
\(225\) | 0.748206 | + | 2.74391i | 0.0498804 | + | 0.182928i | ||||
\(226\) | −32.5063 | − | 32.5063i | −2.16229 | − | 2.16229i | ||||
\(227\) | −3.12595 | − | 11.6662i | −0.207477 | − | 0.774314i | −0.988680 | − | 0.150038i | \(-0.952060\pi\) |
0.781203 | − | 0.624277i | \(-0.214606\pi\) | |||||||
\(228\) | 17.1189 | + | 41.0724i | 1.13372 | + | 2.72009i | ||||
\(229\) | −4.59109 | − | 17.1342i | −0.303388 | − | 1.13226i | −0.934324 | − | 0.356424i | \(-0.883996\pi\) |
0.630936 | − | 0.775835i | \(-0.282671\pi\) | |||||||
\(230\) | − | 9.17018i | − | 0.604664i | ||||||
\(231\) | −6.75948 | + | 0.905059i | −0.444741 | + | 0.0595485i | ||||
\(232\) | −2.06747 | + | 2.06747i | −0.135736 | + | 0.135736i | ||||
\(233\) | 10.5428 | 0.690681 | 0.345341 | − | 0.938477i | \(-0.387763\pi\) | ||||
0.345341 | + | 0.938477i | \(0.387763\pi\) | |||||||
\(234\) | 7.33761 | − | 24.1083i | 0.479674 | − | 1.57601i | ||||
\(235\) | 22.0016 | 1.43522 | ||||||||
\(236\) | 9.47775 | − | 9.47775i | 0.616949 | − | 0.616949i | ||||
\(237\) | −2.92571 | + | 7.10754i | −0.190045 | + | 0.461685i | ||||
\(238\) | 10.5081i | 0.681140i | ||||||||
\(239\) | 2.74434 | + | 10.2420i | 0.177516 | + | 0.662501i | 0.996109 | + | 0.0881263i | \(0.0280879\pi\) |
−0.818593 | + | 0.574374i | \(0.805245\pi\) | |||||||
\(240\) | −1.89220 | + | 2.47724i | −0.122141 | + | 0.159905i | ||||
\(241\) | 7.33876 | + | 27.3886i | 0.472731 | + | 1.76426i | 0.629892 | + | 0.776683i | \(0.283099\pi\) |
−0.157161 | + | 0.987573i | \(0.550234\pi\) | |||||||
\(242\) | −7.41854 | − | 7.41854i | −0.476882 | − | 0.476882i | ||||
\(243\) | −2.20486 | − | 15.4317i | −0.141442 | − | 0.989947i | ||||
\(244\) | 32.6482 | + | 18.8495i | 2.09009 | + | 1.20671i | ||||
\(245\) | 1.42337 | + | 1.42337i | 0.0909358 | + | 0.0909358i | ||||
\(246\) | 18.5647 | + | 7.64187i | 1.18364 | + | 0.487228i | ||||
\(247\) | −23.8997 | + | 12.6112i | −1.52070 | + | 0.802429i | ||||
\(248\) | −13.7449 | − | 7.93563i | −0.872803 | − | 0.503913i | ||||
\(249\) | 2.11246 | + | 5.06832i | 0.133872 | + | 0.321192i | ||||
\(250\) | 27.8944 | 1.76420 | ||||||||
\(251\) | 1.65038 | + | 2.85854i | 0.104171 | + | 0.180430i | 0.913399 | − | 0.407065i | \(-0.133448\pi\) |
−0.809228 | + | 0.587494i | \(0.800114\pi\) | |||||||
\(252\) | −0.0453202 | − | 10.2832i | −0.00285490 | − | 0.647782i | ||||
\(253\) | −1.99270 | + | 7.43684i | −0.125280 | + | 0.467550i | ||||
\(254\) | 35.9547 | − | 9.63404i | 2.25600 | − | 0.604493i | ||||
\(255\) | 15.5956 | + | 2.01824i | 0.976632 | + | 0.126387i | ||||
\(256\) | −21.3300 | −1.33313 | ||||||||
\(257\) | 7.67617 | + | 13.2955i | 0.478826 | + | 0.829351i | 0.999705 | − | 0.0242793i | \(-0.00772909\pi\) |
−0.520879 | + | 0.853630i | \(0.674396\pi\) | |||||||
\(258\) | −26.1588 | − | 19.9810i | −1.62858 | − | 1.24396i | ||||
\(259\) | 7.20271 | − | 4.15848i | 0.447554 | − | 0.258396i | ||||
\(260\) | −21.0561 | − | 13.2498i | −1.30585 | − | 0.821720i | ||||
\(261\) | −2.55011 | − | 0.671268i | −0.157848 | − | 0.0415504i | ||||
\(262\) | −29.4957 | + | 7.90334i | −1.82225 | + | 0.488270i | ||||
\(263\) | − | 22.8127i | − | 1.40669i | −0.710847 | − | 0.703347i | \(-0.751688\pi\) | ||
0.710847 | − | 0.703347i | \(-0.248312\pi\) | |||||||
\(264\) | 17.9668 | − | 13.8495i | 1.10578 | − | 0.852375i | ||||
\(265\) | 6.62941 | − | 1.77635i | 0.407242 | − | 0.109120i | ||||
\(266\) | −12.3468 | + | 12.3468i | −0.757033 | + | 0.757033i | ||||
\(267\) | 11.9138 | + | 9.10017i | 0.729115 | + | 0.556922i | ||||
\(268\) | −37.8039 | − | 10.1295i | −2.30924 | − | 0.618759i | ||||
\(269\) | −13.0087 | + | 7.51055i | −0.793152 | + | 0.457927i | −0.841071 | − | 0.540925i | \(-0.818074\pi\) |
0.0479190 | + | 0.998851i | \(0.484741\pi\) | |||||||
\(270\) | −24.1804 | − | 3.02092i | −1.47157 | − | 0.183847i | ||||
\(271\) | 1.76653 | + | 6.59278i | 0.107309 | + | 0.400483i | 0.998597 | − | 0.0529551i | \(-0.0168640\pi\) |
−0.891288 | + | 0.453438i | \(0.850197\pi\) | |||||||
\(272\) | −2.01632 | − | 3.49237i | −0.122257 | − | 0.211756i | ||||
\(273\) | 6.21681 | − | 0.592651i | 0.376259 | − | 0.0358689i | ||||
\(274\) | −5.92879 | + | 10.2690i | −0.358171 | + | 0.620370i | ||||
\(275\) | −3.60560 | − | 0.966117i | −0.217426 | − | 0.0582591i | ||||
\(276\) | −10.7354 | − | 4.41905i | −0.646193 | − | 0.265995i | ||||
\(277\) | −18.6125 | − | 10.7459i | −1.11831 | − | 0.645659i | −0.177344 | − | 0.984149i | \(-0.556751\pi\) |
−0.940970 | + | 0.338490i | \(0.890084\pi\) | |||||||
\(278\) | −21.6928 | + | 21.6928i | −1.30105 | + | 1.30105i | ||||
\(279\) | −0.0630843 | − | 14.3139i | −0.00377676 | − | 0.856953i | ||||
\(280\) | −6.46765 | − | 1.73300i | −0.386516 | − | 0.103567i | ||||
\(281\) | −2.75073 | + | 10.2659i | −0.164095 | + | 0.612410i | 0.834059 | + | 0.551675i | \(0.186011\pi\) |
−0.998154 | + | 0.0607352i | \(0.980655\pi\) | |||||||
\(282\) | 16.7886 | − | 40.7852i | 0.999745 | − | 2.42872i | ||||
\(283\) | −15.1678 | + | 8.75715i | −0.901634 | + | 0.520558i | −0.877730 | − | 0.479156i | \(-0.840943\pi\) |
−0.0239038 | + | 0.999714i | \(0.507610\pi\) | |||||||
\(284\) | −6.01098 | + | 22.4333i | −0.356686 | + | 1.33117i | ||||
\(285\) | 15.9531 | + | 20.6959i | 0.944979 | + | 1.22592i | ||||
\(286\) | 22.4804 | + | 24.2602i | 1.32929 | + | 1.43453i | ||||
\(287\) | 4.97515i | 0.293674i | ||||||||
\(288\) | −6.90687 | − | 11.8422i | −0.406991 | − | 0.697809i | ||||
\(289\) | −1.67180 | + | 2.89564i | −0.0983410 | + | 0.170332i | ||||
\(290\) | −2.06110 | + | 3.56993i | −0.121032 | + | 0.209634i | ||||
\(291\) | −7.07818 | − | 5.40654i | −0.414930 | − | 0.316937i | ||||
\(292\) | −25.2600 | − | 25.2600i | −1.47823 | − | 1.47823i | ||||
\(293\) | −18.5413 | − | 18.5413i | −1.08320 | − | 1.08320i | −0.996209 | − | 0.0869872i | \(-0.972276\pi\) |
−0.0869872 | − | 0.996209i | \(-0.527724\pi\) | |||||||
\(294\) | 3.72468 | − | 1.55244i | 0.217228 | − | 0.0905400i | ||||
\(295\) | 3.93560 | − | 6.81666i | 0.229140 | − | 0.396881i | ||||
\(296\) | −13.8326 | + | 23.9588i | −0.804005 | + | 1.39258i | ||||
\(297\) | 18.9534 | + | 7.70434i | 1.09979 | + | 0.447051i | ||||
\(298\) | − | 3.56128i | − | 0.206299i | ||||||
\(299\) | 2.08255 | − | 6.73567i | 0.120437 | − | 0.389534i | ||||
\(300\) | 2.14248 | − | 5.20482i | 0.123696 | − | 0.300501i | ||||
\(301\) | 2.11127 | − | 7.87937i | 0.121692 | − | 0.454159i | ||||
\(302\) | −28.5815 | + | 16.5016i | −1.64468 | + | 0.949558i | ||||
\(303\) | 5.89622 | + | 7.64914i | 0.338729 | + | 0.439432i | ||||
\(304\) | 1.73433 | − | 6.47260i | 0.0994706 | − | 0.371229i | ||||
\(305\) | 21.3842 | + | 5.72989i | 1.22446 | + | 0.328092i | ||||
\(306\) | 15.6417 | − | 27.3701i | 0.894176 | − | 1.56464i | ||||
\(307\) | 7.70339 | − | 7.70339i | 0.439656 | − | 0.439656i | −0.452240 | − | 0.891896i | \(-0.649375\pi\) |
0.891896 | + | 0.452240i | \(0.149375\pi\) | |||||||
\(308\) | 11.6884 | + | 6.74828i | 0.666006 | + | 0.384519i | ||||
\(309\) | −2.91814 | − | 21.7942i | −0.166007 | − | 1.23983i | ||||
\(310\) | −21.6137 | − | 5.79138i | −1.22758 | − | 0.328928i | ||||
\(311\) | 2.79961 | − | 4.84907i | 0.158752 | − | 0.274966i | −0.775667 | − | 0.631142i | \(-0.782586\pi\) |
0.934419 | + | 0.356176i | \(0.115920\pi\) | |||||||
\(312\) | −16.9232 | + | 12.0469i | −0.958087 | + | 0.682024i | ||||
\(313\) | 2.45034 | + | 4.24411i | 0.138501 | + | 0.239891i | 0.926930 | − | 0.375236i | \(-0.122438\pi\) |
−0.788428 | + | 0.615127i | \(0.789105\pi\) | |||||||
\(314\) | 12.8071 | + | 47.7969i | 0.722749 | + | 2.69734i | ||||
\(315\) | −1.58866 | − | 5.82614i | −0.0895109 | − | 0.328266i | ||||
\(316\) | 13.1732 | − | 7.60555i | 0.741050 | − | 0.427845i | ||||
\(317\) | 26.1694 | + | 7.01206i | 1.46982 | + | 0.393837i | 0.902869 | − | 0.429916i | \(-0.141457\pi\) |
0.566950 | + | 0.823753i | \(0.308123\pi\) | |||||||
\(318\) | 1.76578 | − | 13.6447i | 0.0990198 | − | 0.765155i | ||||
\(319\) | 2.44727 | − | 2.44727i | 0.137021 | − | 0.137021i | ||||
\(320\) | −24.1772 | + | 6.47827i | −1.35155 | + | 0.362147i | ||||
\(321\) | −1.20535 | − | 9.00223i | −0.0672762 | − | 0.502456i | ||||
\(322\) | − | 4.55559i | − | 0.253873i | ||||||
\(323\) | −32.6526 | + | 8.74923i | −1.81684 | + | 0.486820i | ||||
\(324\) | −15.1889 | + | 26.8518i | −0.843827 | + | 1.49176i | ||||
\(325\) | 3.26565 | + | 1.00968i | 0.181146 | + | 0.0560070i | ||||
\(326\) | 19.6354 | − | 11.3365i | 1.08751 | − | 0.627871i | ||||
\(327\) | −0.224503 | + | 1.73480i | −0.0124151 | + | 0.0959348i | ||||
\(328\) | −8.27458 | − | 14.3320i | −0.456887 | − | 0.791352i | ||||
\(329\) | 10.9300 | 0.602591 | ||||||||
\(330\) | 19.4139 | − | 25.4164i | 1.06870 | − | 1.39913i | ||||
\(331\) | −7.64614 | + | 2.04878i | −0.420270 | + | 0.112611i | −0.462755 | − | 0.886486i | \(-0.653139\pi\) |
0.0424852 | + | 0.999097i | \(0.486472\pi\) | |||||||
\(332\) | 2.81251 | − | 10.4964i | 0.154357 | − | 0.576066i | ||||
\(333\) | −24.9507 | + | 0.109962i | −1.36729 | + | 0.00602591i | ||||
\(334\) | 4.15036 | + | 7.18864i | 0.227098 | + | 0.393345i | ||||
\(335\) | −22.9834 | −1.25571 | ||||||||
\(336\) | −0.940012 | + | 1.23065i | −0.0512819 | + | 0.0671376i | ||||
\(337\) | −30.0141 | − | 17.3287i | −1.63497 | − | 0.943952i | −0.982528 | − | 0.186116i | \(-0.940410\pi\) |
−0.652445 | − | 0.757836i | \(-0.726257\pi\) | |||||||
\(338\) | −19.7254 | − | 22.9826i | −1.07292 | − | 1.25009i | ||||
\(339\) | −27.0684 | + | 20.8653i | −1.47015 | + | 1.13325i | ||||
\(340\) | −22.0061 | − | 22.0061i | −1.19345 | − | 1.19345i | ||||
\(341\) | 16.2698 | + | 9.39340i | 0.881061 | + | 0.508681i | ||||
\(342\) | 50.5380 | − | 13.7806i | 2.73278 | − | 0.745171i | ||||
\(343\) | 0.707107 | + | 0.707107i | 0.0381802 | + | 0.0381802i | ||||
\(344\) | 7.02286 | + | 26.2097i | 0.378647 | + | 1.41313i | ||||
\(345\) | −6.76116 | − | 0.874971i | −0.364009 | − | 0.0471068i | ||||
\(346\) | −8.52243 | − | 31.8061i | −0.458169 | − | 1.70991i | ||||
\(347\) | − | 7.93600i | − | 0.426027i | −0.977049 | − | 0.213013i | \(-0.931672\pi\) | ||
0.977049 | − | 0.213013i | \(-0.0683278\pi\) | |||||||
\(348\) | 3.18603 | + | 4.13322i | 0.170789 | + | 0.221564i | ||||
\(349\) | 4.17791 | − | 4.17791i | 0.223638 | − | 0.223638i | −0.586390 | − | 0.810029i | \(-0.699452\pi\) |
0.810029 | + | 0.586390i | \(0.199452\pi\) | |||||||
\(350\) | 2.20868 | 0.118059 | ||||||||
\(351\) | −17.0749 | − | 7.71029i | −0.911389 | − | 0.411545i | ||||
\(352\) | 17.9930 | 0.959028 | ||||||||
\(353\) | −3.24103 | + | 3.24103i | −0.172502 | + | 0.172502i | −0.788078 | − | 0.615575i | \(-0.788924\pi\) |
0.615575 | + | 0.788078i | \(0.288924\pi\) | |||||||
\(354\) | −9.63321 | − | 12.4971i | −0.511999 | − | 0.664215i | ||||
\(355\) | 13.6386i | 0.723862i | ||||||||
\(356\) | −7.67892 | − | 28.6581i | −0.406982 | − | 1.51888i | ||||
\(357\) | 7.74761 | + | 1.00263i | 0.410047 | + | 0.0530648i | ||||
\(358\) | 8.78766 | + | 32.7960i | 0.464442 | + | 1.73332i | ||||
\(359\) | 4.38734 | + | 4.38734i | 0.231555 | + | 0.231555i | 0.813341 | − | 0.581787i | \(-0.197646\pi\) |
−0.581787 | + | 0.813341i | \(0.697646\pi\) | |||||||
\(360\) | 14.2664 | + | 14.1412i | 0.751906 | + | 0.745307i | ||||
\(361\) | −32.1918 | − | 18.5860i | −1.69431 | − | 0.978208i | ||||
\(362\) | −39.9939 | − | 39.9939i | −2.10203 | − | 2.10203i | ||||
\(363\) | −6.17751 | + | 4.76184i | −0.324235 | + | 0.249932i | ||||
\(364\) | −10.4603 | − | 6.58230i | −0.548270 | − | 0.345006i | ||||
\(365\) | −18.1677 | − | 10.4891i | −0.950940 | − | 0.549025i | ||||
\(366\) | 26.9392 | − | 35.2685i | 1.40814 | − | 1.84352i | ||||
\(367\) | 3.13291 | 0.163537 | 0.0817683 | − | 0.996651i | \(-0.473943\pi\) | ||||
0.0817683 | + | 0.996651i | \(0.473943\pi\) | |||||||
\(368\) | 0.874137 | + | 1.51405i | 0.0455676 | + | 0.0789253i | ||||
\(369\) | 7.40569 | − | 12.9586i | 0.385525 | − | 0.674597i | ||||
\(370\) | −10.0950 | + | 37.6749i | −0.524813 | + | 1.95863i | ||||
\(371\) | 3.29338 | − | 0.882459i | 0.170984 | − | 0.0458150i | ||||
\(372\) | −17.1954 | + | 22.5120i | −0.891538 | + | 1.16719i | ||||
\(373\) | 1.65635 | 0.0857625 | 0.0428813 | − | 0.999080i | \(-0.486346\pi\) | ||||
0.0428813 | + | 0.999080i | \(0.486346\pi\) | |||||||
\(374\) | 20.6874 | + | 35.8316i | 1.06972 | + | 1.85281i | ||||
\(375\) | 2.66154 | − | 20.5665i | 0.137441 | − | 1.06205i | ||||
\(376\) | −31.4862 | + | 18.1786i | −1.62378 | + | 0.937489i | ||||
\(377\) | −2.32465 | + | 2.15411i | −0.119726 | + | 0.110942i | ||||
\(378\) | −12.0124 | − | 1.50074i | −0.617851 | − | 0.0771899i | ||||
\(379\) | 17.7183 | − | 4.74759i | 0.910126 | − | 0.243867i | 0.226766 | − | 0.973949i | \(-0.427185\pi\) |
0.683360 | + | 0.730082i | \(0.260518\pi\) | |||||||
\(380\) | − | 51.7136i | − | 2.65285i | ||||||
\(381\) | −3.67255 | − | 27.4286i | −0.188150 | − | 1.40521i | ||||
\(382\) | 17.2256 | − | 4.61559i | 0.881339 | − | 0.236154i | ||||
\(383\) | −1.92106 | + | 1.92106i | −0.0981616 | + | 0.0981616i | −0.754482 | − | 0.656321i | \(-0.772112\pi\) |
0.656321 | + | 0.754482i | \(0.272112\pi\) | |||||||
\(384\) | −4.40808 | + | 34.0625i | −0.224949 | + | 1.73825i | ||||
\(385\) | 7.65575 | + | 2.05135i | 0.390173 | + | 0.104547i | ||||
\(386\) | −22.6724 | + | 13.0899i | −1.15399 | + | 0.666258i | ||||
\(387\) | −17.2279 | + | 17.3804i | −0.875742 | + | 0.883495i | ||||
\(388\) | 4.56215 | + | 17.0262i | 0.231608 | + | 0.864374i | ||||
\(389\) | 0.0250685 | + | 0.0434198i | 0.00127102 | + | 0.00220147i | 0.866660 | − | 0.498899i | \(-0.166262\pi\) |
−0.865389 | + | 0.501100i | \(0.832929\pi\) | |||||||
\(390\) | −18.6503 | + | 22.5809i | −0.944397 | + | 1.14343i | ||||
\(391\) | 4.40979 | − | 7.63798i | 0.223013 | − | 0.386269i | ||||
\(392\) | −3.21302 | − | 0.860926i | −0.162282 | − | 0.0434833i | ||||
\(393\) | 3.01280 | + | 22.5012i | 0.151976 | + | 1.13504i | ||||
\(394\) | 2.44054 | + | 1.40905i | 0.122953 | + | 0.0709869i | ||||
\(395\) | 6.31635 | − | 6.31635i | 0.317810 | − | 0.317810i | ||||
\(396\) | −20.3992 | − | 34.9755i | −1.02510 | − | 1.75759i | ||||
\(397\) | −1.59243 | − | 0.426690i | −0.0799217 | − | 0.0214150i | 0.218637 | − | 0.975806i | \(-0.429839\pi\) |
−0.298558 | + | 0.954391i | \(0.596506\pi\) | |||||||
\(398\) | 15.0456 | − | 56.1508i | 0.754166 | − | 2.81458i | ||||
\(399\) | 7.92523 | + | 10.2814i | 0.396758 | + | 0.514712i | ||||
\(400\) | −0.734056 | + | 0.423807i | −0.0367028 | + | 0.0211904i | ||||
\(401\) | −6.42779 | + | 23.9888i | −0.320989 | + | 1.19795i | 0.597295 | + | 0.802022i | \(0.296242\pi\) |
−0.918283 | + | 0.395924i | \(0.870424\pi\) | |||||||
\(402\) | −17.5377 | + | 42.6052i | −0.874703 | + | 2.12495i | ||||
\(403\) | −14.5605 | − | 9.16236i | −0.725308 | − | 0.456410i | ||||
\(404\) | − | 19.1132i | − | 0.950917i | ||||||
\(405\) | −4.53448 | + | 17.5399i | −0.225320 | + | 0.871564i | ||||
\(406\) | −1.02392 | + | 1.77348i | −0.0508163 | + | 0.0880164i | ||||
\(407\) | 16.3737 | − | 28.3600i | 0.811612 | − | 1.40575i | ||||
\(408\) | −23.9862 | + | 9.99740i | −1.18750 | + | 0.494945i | ||||
\(409\) | −2.89706 | − | 2.89706i | −0.143250 | − | 0.143250i | 0.631845 | − | 0.775095i | \(-0.282298\pi\) |
−0.775095 | + | 0.631845i | \(0.782298\pi\) | |||||||
\(410\) | −16.4981 | − | 16.4981i | −0.814785 | − | 0.814785i | ||||
\(411\) | 7.00559 | + | 5.35109i | 0.345560 | + | 0.263950i | ||||
\(412\) | −21.7581 | + | 37.6862i | −1.07195 | + | 1.85667i | ||||
\(413\) | 1.95514 | − | 3.38640i | 0.0962062 | − | 0.166634i | ||||
\(414\) | −6.78116 | + | 11.8658i | −0.333276 | + | 0.583171i | ||||
\(415\) | − | 6.38144i | − | 0.313253i | ||||||
\(416\) | −16.4645 | − | 0.626945i | −0.807239 | − | 0.0307385i | ||||
\(417\) | 13.9243 | + | 18.0639i | 0.681875 | + | 0.884593i | ||||
\(418\) | −17.7942 | + | 66.4087i | −0.870341 | + | 3.24816i | ||||
\(419\) | 19.1324 | − | 11.0461i | 0.934677 | − | 0.539636i | 0.0463893 | − | 0.998923i | \(-0.485229\pi\) |
0.888288 | + | 0.459287i | \(0.151895\pi\) | |||||||
\(420\) | −4.54912 | + | 11.0514i | −0.221974 | + | 0.539252i | ||||
\(421\) | 7.24407 | − | 27.0353i | 0.353055 | − | 1.31762i | −0.529861 | − | 0.848085i | \(-0.677756\pi\) |
0.882915 | − | 0.469533i | \(-0.155578\pi\) | |||||||
\(422\) | 22.1221 | + | 5.92759i | 1.07689 | + | 0.288551i | ||||
\(423\) | −28.4690 | − | 16.2697i | −1.38421 | − | 0.791060i | ||||
\(424\) | −8.01961 | + | 8.01961i | −0.389467 | + | 0.389467i | ||||
\(425\) | 3.70311 | + | 2.13799i | 0.179627 | + | 0.103708i | ||||
\(426\) | 25.2824 | + | 10.4071i | 1.22494 | + | 0.504226i | ||||
\(427\) | 10.6233 | + | 2.84651i | 0.514099 | + | 0.137752i | ||||
\(428\) | −8.98732 | + | 15.5665i | −0.434418 | + | 0.752435i | ||||
\(429\) | 20.0319 | − | 14.2600i | 0.967152 | − | 0.688477i | ||||
\(430\) | 19.1277 | + | 33.1301i | 0.922417 | + | 1.59767i | ||||
\(431\) | 0.295611 | + | 1.10323i | 0.0142391 | + | 0.0531409i | 0.972680 | − | 0.232151i | \(-0.0745762\pi\) |
−0.958441 | + | 0.285292i | \(0.907910\pi\) | |||||||
\(432\) | 4.28028 | − | 1.80619i | 0.205935 | − | 0.0869005i | ||||
\(433\) | 31.6832 | − | 18.2923i | 1.52260 | − | 0.879071i | 0.522952 | − | 0.852362i | \(-0.324831\pi\) |
0.999643 | − | 0.0267085i | \(-0.00850259\pi\) | |||||||
\(434\) | −10.7373 | − | 2.87706i | −0.515409 | − | 0.138103i | ||||
\(435\) | 2.43544 | + | 1.86027i | 0.116771 | + | 0.0891931i | ||||
\(436\) | 2.44790 | − | 2.44790i | 0.117233 | − | 0.117233i | ||||
\(437\) | 14.1559 | − | 3.79306i | 0.677168 | − | 0.181447i | ||||
\(438\) | −33.3072 | + | 25.6743i | −1.59148 | + | 1.22677i | ||||
\(439\) | − | 20.4272i | − | 0.974939i | −0.873140 | − | 0.487470i | \(-0.837920\pi\) | ||
0.873140 | − | 0.487470i | \(-0.162080\pi\) | |||||||
\(440\) | −25.4658 | + | 6.82354i | −1.21403 | + | 0.325300i | ||||
\(441\) | −0.789221 | − | 2.89433i | −0.0375819 | − | 0.137825i | ||||
\(442\) | −17.6815 | − | 33.5086i | −0.841025 | − | 1.59384i | ||||
\(443\) | 18.6629 | − | 10.7750i | 0.886701 | − | 0.511937i | 0.0138390 | − | 0.999904i | \(-0.495595\pi\) |
0.872862 | + | 0.487967i | \(0.162261\pi\) | |||||||
\(444\) | 39.2407 | + | 29.9733i | 1.86228 | + | 1.42247i | ||||
\(445\) | −8.71154 | − | 15.0888i | −0.412967 | − | 0.715279i | ||||
\(446\) | −7.30325 | −0.345819 | ||||||||
\(447\) | −2.62573 | − | 0.339799i | −0.124193 | − | 0.0160719i | ||||
\(448\) | −12.0109 | + | 3.21830i | −0.567459 | + | 0.152050i | ||||
\(449\) | 4.19762 | − | 15.6657i | 0.198098 | − | 0.739312i | −0.793345 | − | 0.608772i | \(-0.791662\pi\) |
0.991443 | − | 0.130540i | \(-0.0416710\pi\) | |||||||
\(450\) | −5.75287 | − | 3.28770i | −0.271193 | − | 0.154984i | ||||
\(451\) | 9.79461 | + | 16.9648i | 0.461210 | + | 0.798839i | ||||
\(452\) | 67.6369 | 3.18137 | ||||||||
\(453\) | 9.43947 | + | 22.6476i | 0.443505 | + | 1.06408i | ||||
\(454\) | 24.3684 | + | 14.0691i | 1.14367 | + | 0.660297i | ||||
\(455\) | −6.93394 | − | 2.14385i | −0.325068 | − | 0.100505i | ||||
\(456\) | −39.9301 | − | 16.4366i | −1.86990 | − | 0.769714i | ||||
\(457\) | −10.0725 | − | 10.0725i | −0.471172 | − | 0.471172i | 0.431122 | − | 0.902294i | \(-0.358118\pi\) |
−0.902294 | + | 0.431122i | \(0.858118\pi\) | |||||||
\(458\) | 35.7900 | + | 20.6633i | 1.67235 | + | 0.965534i | ||||
\(459\) | −18.6875 | − | 14.1441i | −0.872256 | − | 0.660190i | ||||
\(460\) | 9.54034 | + | 9.54034i | 0.444821 | + | 0.444821i | ||||
\(461\) | 7.55885 | + | 28.2100i | 0.352051 | + | 1.31387i | 0.884156 | + | 0.467193i | \(0.154734\pi\) |
−0.532105 | + | 0.846678i | \(0.678599\pi\) | |||||||
\(462\) | 9.64449 | − | 12.6265i | 0.448702 | − | 0.587436i | ||||
\(463\) | 2.14674 | + | 8.01176i | 0.0997677 | + | 0.372338i | 0.997699 | − | 0.0677973i | \(-0.0215971\pi\) |
−0.897931 | + | 0.440135i | \(0.854930\pi\) | |||||||
\(464\) | − | 0.785889i | − | 0.0364840i | ||||||
\(465\) | −6.33224 | + | 15.3832i | −0.293651 | + | 0.713378i | ||||
\(466\) | −17.3681 | + | 17.3681i | −0.804560 | + | 0.804560i | ||||
\(467\) | −29.4577 | −1.36314 | −0.681570 | − | 0.731753i | \(-0.738703\pi\) | ||||
−0.681570 | + | 0.731753i | \(0.738703\pi\) | |||||||
\(468\) | 17.4476 | + | 32.7152i | 0.806517 | + | 1.51226i | ||||
\(469\) | −11.4177 | −0.527223 | ||||||||
\(470\) | −36.2451 | + | 36.2451i | −1.67186 | + | 1.67186i | ||||
\(471\) | 36.4626 | − | 4.88216i | 1.68011 | − | 0.224958i | ||||
\(472\) | 13.0070i | 0.598697i | ||||||||
\(473\) | −8.31294 | − | 31.0243i | −0.382230 | − | 1.42650i | ||||
\(474\) | −6.88910 | − | 16.5287i | −0.316427 | − | 0.759186i | ||||
\(475\) | 1.83899 | + | 6.86319i | 0.0843785 | + | 0.314905i | ||||
\(476\) | −10.9323 | − | 10.9323i | −0.501080 | − | 0.501080i | ||||
\(477\) | −9.89172 | − | 2.60381i | −0.452911 | − | 0.119220i | ||||
\(478\) | −21.3936 | − | 12.3516i | −0.978518 | − | 0.564948i | ||||
\(479\) | 24.9845 | + | 24.9845i | 1.14157 | + | 1.14157i | 0.988163 | + | 0.153407i | \(0.0490244\pi\) |
0.153407 | + | 0.988163i | \(0.450976\pi\) | |||||||
\(480\) | 2.11442 | + | 15.7916i | 0.0965096 | + | 0.720786i | ||||
\(481\) | −15.9709 | + | 25.3804i | −0.728212 | + | 1.15725i | ||||
\(482\) | −57.2094 | − | 33.0299i | −2.60582 | − | 1.50447i | ||||
\(483\) | −3.35883 | − | 0.434671i | −0.152832 | − | 0.0197782i | ||||
\(484\) | 15.4360 | 0.701636 | ||||||||
\(485\) | 5.17565 | + | 8.96449i | 0.235014 | + | 0.407056i | ||||
\(486\) | 29.0543 | + | 21.7898i | 1.31793 | + | 0.988406i | ||||
\(487\) | −7.71570 | + | 28.7954i | −0.349632 | + | 1.30484i | 0.537475 | + | 0.843280i | \(0.319378\pi\) |
−0.887107 | + | 0.461564i | \(0.847288\pi\) | |||||||
\(488\) | −35.3371 | + | 9.46853i | −1.59963 | + | 0.428620i | ||||
\(489\) | −6.48488 | − | 15.5588i | −0.293257 | − | 0.703595i | ||||
\(490\) | −4.68969 | −0.211858 | ||||||||
\(491\) | −19.7026 | − | 34.1259i | −0.889167 | − | 1.54008i | −0.840862 | − | 0.541250i | \(-0.817951\pi\) |
−0.0483050 | − | 0.998833i | \(-0.515382\pi\) | |||||||
\(492\) | −27.2644 | + | 11.3638i | −1.22918 | + | 0.512318i | ||||
\(493\) | −3.43344 | + | 1.98230i | −0.154634 | + | 0.0892783i | ||||
\(494\) | 18.5965 | − | 60.1475i | 0.836698 | − | 2.70616i | ||||
\(495\) | −16.8871 | − | 16.7389i | −0.759020 | − | 0.752359i | ||||
\(496\) | 4.12061 | − | 1.10411i | 0.185021 | − | 0.0495762i | ||||
\(497\) | 6.77543i | 0.303919i | ||||||||
\(498\) | −11.8295 | − | 4.86944i | −0.530094 | − | 0.218205i | ||||
\(499\) | −20.5052 | + | 5.49435i | −0.917938 | + | 0.245961i | −0.686704 | − | 0.726937i | \(-0.740943\pi\) |
−0.231234 | + | 0.972898i | \(0.574276\pi\) | |||||||
\(500\) | −29.0204 | + | 29.0204i | −1.29783 | + | 1.29783i | ||||
\(501\) | 5.69618 | − | 2.37415i | 0.254486 | − | 0.106069i | ||||
\(502\) | −7.42794 | − | 1.99031i | −0.331525 | − | 0.0888319i | ||||
\(503\) | 27.4724 | − | 15.8612i | 1.22493 | − | 0.707216i | 0.258968 | − | 0.965886i | \(-0.416617\pi\) |
0.965966 | + | 0.258670i | \(0.0832841\pi\) | |||||||
\(504\) | 7.08731 | + | 7.02512i | 0.315694 | + | 0.312924i | ||||
\(505\) | −2.90503 | − | 10.8417i | −0.129272 | − | 0.482450i | ||||
\(506\) | −8.96862 | − | 15.5341i | −0.398704 | − | 0.690575i | ||||
\(507\) | −18.8272 | + | 12.3506i | −0.836144 | + | 0.548510i | ||||
\(508\) | −27.3831 | + | 47.4290i | −1.21493 | + | 2.10432i | ||||
\(509\) | 16.4590 | + | 4.41019i | 0.729534 | + | 0.195478i | 0.604422 | − | 0.796665i | \(-0.293404\pi\) |
0.125112 | + | 0.992143i | \(0.460071\pi\) | |||||||
\(510\) | −29.0168 | + | 22.3671i | −1.28488 | + | 0.990432i | ||||
\(511\) | −9.02540 | − | 5.21082i | −0.399260 | − | 0.230513i | ||||
\(512\) | 7.09495 | − | 7.09495i | 0.313555 | − | 0.313555i | ||||
\(513\) | −5.33836 | − | 38.5765i | −0.235694 | − | 1.70319i | ||||
\(514\) | −34.5485 | − | 9.25724i | −1.52387 | − | 0.408319i | ||||
\(515\) | −6.61407 | + | 24.6841i | −0.291451 | + | 1.08771i | ||||
\(516\) | 48.0023 | − | 6.42726i | 2.11318 | − | 0.282944i | ||||
\(517\) | 37.2702 | − | 21.5180i | 1.63914 | − | 0.946359i | ||||
\(518\) | −5.01501 | + | 18.7163i | −0.220347 | + | 0.822346i | ||||
\(519\) | −24.2638 | + | 3.24880i | −1.06506 | + | 0.142606i | ||||
\(520\) | 23.5403 | − | 5.35657i | 1.03231 | − | 0.234901i | ||||
\(521\) | − | 15.9424i | − | 0.698450i | −0.937039 | − | 0.349225i | \(-0.886445\pi\) | ||
0.937039 | − | 0.349225i | \(-0.113555\pi\) | |||||||
\(522\) | 5.30686 | − | 3.09518i | 0.232275 | − | 0.135472i | ||||
\(523\) | 1.37464 | − | 2.38095i | 0.0601090 | − | 0.104112i | −0.834405 | − | 0.551152i | \(-0.814189\pi\) |
0.894514 | + | 0.447040i | \(0.147522\pi\) | |||||||
\(524\) | 22.4639 | − | 38.9087i | 0.981342 | − | 1.69973i | ||||
\(525\) | 0.210741 | − | 1.62846i | 0.00919750 | − | 0.0710718i | ||||
\(526\) | 37.5814 | + | 37.5814i | 1.63863 | + | 1.63863i | ||||
\(527\) | −15.2174 | − | 15.2174i | −0.662881 | − | 0.662881i | ||||
\(528\) | −0.782552 | + | 6.04701i | −0.0340562 | + | 0.263162i | ||||
\(529\) | 9.58822 | − | 16.6073i | 0.416879 | − | 0.722056i | ||||
\(530\) | −7.99488 | + | 13.8475i | −0.347276 | + | 0.601499i | ||||
\(531\) | −10.1333 | + | 5.91014i | −0.439746 | + | 0.256478i | ||||
\(532\) | − | 25.6904i | − | 1.11382i | ||||||
\(533\) | −8.37147 | − | 15.8649i | −0.362608 | − | 0.687187i | ||||
\(534\) | −34.6182 | + | 4.63521i | −1.49808 | + | 0.200585i | ||||
\(535\) | −2.73198 | + | 10.1959i | −0.118114 | + | 0.440806i | ||||
\(536\) | 32.8913 | − | 18.9898i | 1.42069 | − | 0.820234i | ||||
\(537\) | 25.0189 | − | 3.34990i | 1.07965 | − | 0.144559i | ||||
\(538\) | 9.05751 | − | 33.8031i | 0.390497 | − | 1.45736i | ||||
\(539\) | 3.80325 | + | 1.01908i | 0.163817 | + | 0.0438948i | ||||
\(540\) | 28.2993 | − | 22.0136i | 1.21781 | − | 0.947312i | ||||
\(541\) | 2.84289 | − | 2.84289i | 0.122225 | − | 0.122225i | −0.643348 | − | 0.765574i | \(-0.722455\pi\) |
0.765574 | + | 0.643348i | \(0.222455\pi\) | |||||||
\(542\) | −13.7710 | − | 7.95071i | −0.591516 | − | 0.341512i | ||||
\(543\) | −33.3034 | + | 25.6714i | −1.42919 | + | 1.10167i | ||||
\(544\) | −19.9090 | − | 5.33460i | −0.853591 | − | 0.228719i | ||||
\(545\) | 1.01648 | − | 1.76060i | 0.0435412 | − | 0.0754156i | ||||
\(546\) | −9.26518 | + | 11.2178i | −0.396513 | + | 0.480079i | ||||
\(547\) | 2.82855 | + | 4.89920i | 0.120940 | + | 0.209475i | 0.920139 | − | 0.391593i | \(-0.128076\pi\) |
−0.799199 | + | 0.601067i | \(0.794742\pi\) | |||||||
\(548\) | −4.51537 | − | 16.8516i | −0.192887 | − | 0.719864i | ||||
\(549\) | −23.4330 | − | 23.2274i | −1.00010 | − | 0.991321i | ||||
\(550\) | 7.53139 | − | 4.34825i | 0.321139 | − | 0.185410i | ||||
\(551\) | −6.36339 | − | 1.70507i | −0.271090 | − | 0.0726382i | ||||
\(552\) | 10.3988 | − | 4.33418i | 0.442601 | − | 0.184475i | ||||
\(553\) | 3.13786 | − | 3.13786i | 0.133435 | − | 0.133435i | ||||
\(554\) | 48.3646 | − | 12.9593i | 2.05482 | − | 0.550586i | ||||
\(555\) | 26.8145 | + | 11.0378i | 1.13821 | + | 0.468527i | ||||
\(556\) | − | 45.1370i | − | 1.91423i | ||||||
\(557\) | 3.14021 | − | 0.841417i | 0.133055 | − | 0.0356520i | −0.191677 | − | 0.981458i | \(-0.561393\pi\) |
0.324732 | + | 0.945806i | \(0.394726\pi\) | |||||||
\(558\) | 23.6845 | + | 23.4767i | 1.00265 | + | 0.993847i | ||||
\(559\) | 6.52578 | + | 28.6786i | 0.276011 | + | 1.21297i | ||||
\(560\) | 1.55862 | − | 0.899868i | 0.0658636 | − | 0.0380264i | ||||
\(561\) | 28.3925 | − | 11.8339i | 1.19873 | − | 0.499628i | ||||
\(562\) | −12.3803 | − | 21.4434i | −0.522233 | − | 0.904535i | ||||
\(563\) | 13.4584 | 0.567205 | 0.283603 | − | 0.958942i | \(-0.408470\pi\) | ||||
0.283603 | + | 0.958942i | \(0.408470\pi\) | |||||||
\(564\) | 24.9653 | + | 59.8978i | 1.05123 | + | 2.52215i | ||||
\(565\) | 38.3662 | − | 10.2802i | 1.61408 | − | 0.432491i | ||||
\(566\) | 10.5609 | − | 39.4137i | 0.443907 | − | 1.65668i | ||||
\(567\) | −2.25266 | + | 8.71353i | −0.0946027 | + | 0.365934i | ||||
\(568\) | −11.2688 | − | 19.5181i | −0.472827 | − | 0.818961i | ||||
\(569\) | 35.8968 | 1.50487 | 0.752436 | − | 0.658666i | \(-0.228879\pi\) | ||||
0.752436 | + | 0.658666i | \(0.228879\pi\) | |||||||
\(570\) | −60.3751 | − | 7.81322i | −2.52883 | − | 0.327260i | ||||
\(571\) | 3.82961 | + | 2.21102i | 0.160264 | + | 0.0925285i | 0.577987 | − | 0.816046i | \(-0.303838\pi\) |
−0.417723 | + | 0.908574i | \(0.637172\pi\) | |||||||
\(572\) | −48.6273 | − | 1.85166i | −2.03321 | − | 0.0774217i | ||||
\(573\) | −1.75949 | − | 13.1408i | −0.0735037 | − | 0.548965i | ||||
\(574\) | −8.19600 | − | 8.19600i | −0.342095 | − | 0.342095i | ||||
\(575\) | −1.60541 | − | 0.926887i | −0.0669504 | − | 0.0386539i | ||||
\(576\) | 36.0748 | + | 9.49600i | 1.50311 | + | 0.395667i | ||||
\(577\) | −9.95109 | − | 9.95109i | −0.414269 | − | 0.414269i | 0.468954 | − | 0.883223i | \(-0.344631\pi\) |
−0.883223 | + | 0.468954i | \(0.844631\pi\) | |||||||
\(578\) | −2.01614 | − | 7.52433i | −0.0838603 | − | 0.312971i | ||||
\(579\) | 7.48788 | + | 17.9653i | 0.311186 | + | 0.746611i | ||||
\(580\) | −1.56974 | − | 5.85833i | −0.0651797 | − | 0.243254i | ||||
\(581\) | − | 3.17019i | − | 0.131522i | ||||||
\(582\) | 20.5672 | − | 2.75384i | 0.852537 | − | 0.114150i | ||||
\(583\) | 9.49280 | − | 9.49280i | 0.393151 | − | 0.393151i | ||||
\(584\) | 34.6662 | 1.43450 | ||||||||
\(585\) | 14.8694 | + | 15.9054i | 0.614773 | + | 0.657608i | ||||
\(586\) | 61.0896 | 2.52359 | ||||||||
\(587\) | −10.5600 | + | 10.5600i | −0.435859 | + | 0.435859i | −0.890616 | − | 0.454757i | \(-0.849726\pi\) |
0.454757 | + | 0.890616i | \(0.349726\pi\) | |||||||
\(588\) | −2.25993 | + | 5.49014i | −0.0931979 | + | 0.226409i | ||||
\(589\) | − | 35.7603i | − | 1.47348i | ||||||
\(590\) | 4.74622 | + | 17.7131i | 0.195399 | + | 0.729239i | ||||
\(591\) | 1.27175 | − | 1.66497i | 0.0523129 | − | 0.0684875i | ||||
\(592\) | −1.92458 | − | 7.18265i | −0.0790999 | − | 0.295205i | ||||
\(593\) | 7.01656 | + | 7.01656i | 0.288136 | + | 0.288136i | 0.836343 | − | 0.548207i | \(-0.184689\pi\) |
−0.548207 | + | 0.836343i | \(0.684689\pi\) | |||||||
\(594\) | −43.9156 | + | 18.5315i | −1.80188 | + | 0.760356i | ||||
\(595\) | −7.86280 | − | 4.53959i | −0.322344 | − | 0.186105i | ||||
\(596\) | 3.70503 | + | 3.70503i | 0.151764 | + | 0.151764i | ||||
\(597\) | −39.9643 | − | 16.4507i | −1.63563 | − | 0.673282i | ||||
\(598\) | 7.66549 | + | 14.5270i | 0.313465 | + | 0.594054i | ||||
\(599\) | 12.9981 | + | 7.50446i | 0.531088 | + | 0.306624i | 0.741460 | − | 0.670998i | \(-0.234134\pi\) |
−0.210371 | + | 0.977622i | \(0.567467\pi\) | |||||||
\(600\) | 2.10134 | + | 5.04163i | 0.0857868 | + | 0.205824i | ||||
\(601\) | 28.2606 | 1.15277 | 0.576387 | − | 0.817177i | \(-0.304462\pi\) | ||||
0.576387 | + | 0.817177i | \(0.304462\pi\) | |||||||
\(602\) | 9.50230 | + | 16.4585i | 0.387285 | + | 0.670797i | ||||
\(603\) | 29.7394 | + | 16.9957i | 1.21108 | + | 0.692119i | ||||
\(604\) | 12.5676 | − | 46.9029i | 0.511369 | − | 1.90845i | ||||
\(605\) | 8.75587 | − | 2.34613i | 0.355977 | − | 0.0953837i | ||||
\(606\) | −22.3145 | − | 2.88775i | −0.906463 | − | 0.117307i | ||||
\(607\) | 26.4255 | 1.07258 | 0.536288 | − | 0.844035i | \(-0.319826\pi\) | ||||
0.536288 | + | 0.844035i | \(0.319826\pi\) | |||||||
\(608\) | −17.1246 | − | 29.6607i | −0.694496 | − | 1.20290i | ||||
\(609\) | 1.20989 | + | 0.924151i | 0.0490271 | + | 0.0374485i | ||||
\(610\) | −44.6675 | + | 25.7888i | −1.80853 | + | 1.04416i | ||||
\(611\) | −34.8540 | + | 18.3914i | −1.41004 | + | 0.744038i | ||||
\(612\) | 12.2018 | + | 44.7480i | 0.493229 | + | 1.80883i | ||||
\(613\) | 34.4790 | − | 9.23862i | 1.39259 | − | 0.373144i | 0.516914 | − | 0.856037i | \(-0.327081\pi\) |
0.875679 | + | 0.482893i | \(0.160414\pi\) | |||||||
\(614\) | 25.3809i | 1.02429i | ||||||||
\(615\) | −13.7382 | + | 10.5899i | −0.553979 | + | 0.427026i | ||||
\(616\) | −12.6510 | + | 3.38982i | −0.509723 | + | 0.136580i | ||||
\(617\) | 18.1955 | − | 18.1955i | 0.732524 | − | 0.732524i | −0.238595 | − | 0.971119i | \(-0.576687\pi\) |
0.971119 | + | 0.238595i | \(0.0766868\pi\) | |||||||
\(618\) | 40.7109 | + | 31.0963i | 1.63763 | + | 1.25088i | ||||
\(619\) | 26.9576 | + | 7.22327i | 1.08352 | + | 0.290328i | 0.756036 | − | 0.654530i | \(-0.227133\pi\) |
0.327482 | + | 0.944857i | \(0.393800\pi\) | |||||||
\(620\) | 28.5113 | − | 16.4610i | 1.14504 | − | 0.661091i | ||||
\(621\) | 8.10159 | + | 6.13191i | 0.325106 | + | 0.246065i | ||||
\(622\) | 3.37625 | + | 12.6004i | 0.135375 | + | 0.505228i | ||||
\(623\) | −4.32775 | − | 7.49588i | −0.173388 | − | 0.300316i | ||||
\(624\) | 0.926778 | − | 5.50607i | 0.0371008 | − | 0.220419i | ||||
\(625\) | −9.68054 | + | 16.7672i | −0.387222 | + | 0.670687i | ||||
\(626\) | −11.0283 | − | 2.95504i | −0.440781 | − | 0.118107i | ||||
\(627\) | 47.2652 | + | 19.4560i | 1.88759 | + | 0.776997i | ||||
\(628\) | −63.0504 | − | 36.4022i | −2.51599 | − | 1.45261i | ||||
\(629\) | −26.5255 | + | 26.5255i | −1.05764 | + | 1.05764i | ||||
\(630\) | 12.2150 | + | 6.98076i | 0.486659 | + | 0.278120i | ||||
\(631\) | −13.4082 | − | 3.59271i | −0.533772 | − | 0.143024i | −0.0181422 | − | 0.999835i | \(-0.505775\pi\) |
−0.515629 | + | 0.856812i | \(0.672442\pi\) | |||||||
\(632\) | −3.82045 | + | 14.2581i | −0.151969 | + | 0.567157i | ||||
\(633\) | 6.48118 | − | 15.7450i | 0.257604 | − | 0.625807i | ||||
\(634\) | −54.6627 | + | 31.5595i | −2.17093 | + | 1.25339i | ||||
\(635\) | −8.32397 | + | 31.0655i | −0.330327 | + | 1.23280i | ||||
\(636\) | 12.3584 | + | 16.0325i | 0.490043 | + | 0.635730i | ||||
\(637\) | −3.44466 | − | 1.06503i | −0.136483 | − | 0.0421980i | ||||
\(638\) | 8.06319i | 0.319225i | ||||||||
\(639\) | 10.0855 | − | 17.6477i | 0.398975 | − | 0.698132i | ||||
\(640\) | 19.9584 | − | 34.5690i | 0.788925 | − | 1.36646i | ||||
\(641\) | −17.6293 | + | 30.5349i | −0.696317 | + | 1.20606i | 0.273418 | + | 0.961895i | \(0.411846\pi\) |
−0.969735 | + | 0.244161i | \(0.921488\pi\) | |||||||
\(642\) | 16.8158 | + | 12.8445i | 0.663669 | + | 0.506931i | ||||
\(643\) | 6.11990 | + | 6.11990i | 0.241345 | + | 0.241345i | 0.817407 | − | 0.576061i | \(-0.195411\pi\) |
−0.576061 | + | 0.817407i | \(0.695411\pi\) | |||||||
\(644\) | 4.73948 | + | 4.73948i | 0.186762 | + | 0.186762i | ||||
\(645\) | 26.2518 | − | 10.9417i | 1.03366 | − | 0.430829i | ||||
\(646\) | 39.3781 | − | 68.2048i | 1.54931 | − | 2.68348i | ||||
\(647\) | −1.45305 | + | 2.51675i | −0.0571252 | + | 0.0989438i | −0.893174 | − | 0.449712i | \(-0.851527\pi\) |
0.836049 | + | 0.548655i | \(0.184860\pi\) | |||||||
\(648\) | −8.00292 | − | 28.8478i | −0.314384 | − | 1.13325i | ||||
\(649\) | − | 15.3964i | − | 0.604361i | ||||||
\(650\) | −7.04313 | + | 3.71645i | −0.276254 | + | 0.145771i | ||||
\(651\) | −3.14575 | + | 7.64210i | −0.123292 | + | 0.299518i | ||||
\(652\) | −8.63390 | + | 32.2221i | −0.338130 | + | 1.26192i | ||||
\(653\) | −37.6589 | + | 21.7424i | −1.47371 | + | 0.850846i | −0.999562 | − | 0.0296000i | \(-0.990577\pi\) |
−0.474147 | + | 0.880446i | \(0.657243\pi\) | |||||||
\(654\) | −2.48805 | − | 3.22774i | −0.0972904 | − | 0.126214i | ||||
\(655\) | 6.82862 | − | 25.4848i | 0.266816 | − | 0.995772i | ||||
\(656\) | 4.29661 | + | 1.15127i | 0.167754 | + | 0.0449496i | ||||
\(657\) | 15.7516 | + | 27.0070i | 0.614530 | + | 1.05365i | ||||
\(658\) | −18.0060 | + | 18.0060i | −0.701945 | + | 0.701945i | ||||
\(659\) | −21.0870 | − | 12.1746i | −0.821433 | − | 0.474255i | 0.0294774 | − | 0.999565i | \(-0.490616\pi\) |
−0.850910 | + | 0.525311i | \(0.823949\pi\) | |||||||
\(660\) | 6.24485 | + | 46.6399i | 0.243081 | + | 1.81546i | ||||
\(661\) | −9.02848 | − | 2.41917i | −0.351167 | − | 0.0940949i | 0.0789235 | − | 0.996881i | \(-0.474852\pi\) |
−0.430091 | + | 0.902786i | \(0.641518\pi\) | |||||||
\(662\) | 9.22103 | − | 15.9713i | 0.358386 | − | 0.620742i | ||||
\(663\) | −26.3929 | + | 9.83935i | −1.02502 | + | 0.382129i | ||||
\(664\) | 5.27261 | + | 9.13243i | 0.204617 | + | 0.354407i | ||||
\(665\) | −3.90471 | − | 14.5726i | −0.151418 | − | 0.565100i | ||||
\(666\) | 40.9223 | − | 41.2846i | 1.58571 | − | 1.59974i | ||||
\(667\) | 1.48850 | − | 0.859388i | 0.0576351 | − | 0.0332756i | ||||
\(668\) | −11.7967 | − | 3.16092i | −0.456429 | − | 0.122300i | ||||
\(669\) | −0.696838 | + | 5.38467i | −0.0269413 | + | 0.208184i | ||||
\(670\) | 37.8625 | − | 37.8625i | 1.46276 | − | 1.46276i | ||||
\(671\) | 41.8284 | − | 11.2079i | 1.61477 | − | 0.432676i | ||||
\(672\) | 1.05041 | + | 7.84501i | 0.0405204 | + | 0.302628i | ||||
\(673\) | − | 14.2515i | − | 0.549356i | −0.961536 | − | 0.274678i | \(-0.911429\pi\) | ||
0.961536 | − | 0.274678i | \(-0.0885712\pi\) | |||||||
\(674\) | 77.9919 | − | 20.8979i | 3.00413 | − | 0.804956i | ||||
\(675\) | −2.97293 | + | 3.92789i | −0.114428 | + | 0.151185i | ||||
\(676\) | 44.4320 | + | 3.38873i | 1.70892 | + | 0.130336i | ||||
\(677\) | 26.8791 | − | 15.5186i | 1.03305 | − | 0.596429i | 0.115190 | − | 0.993343i | \(-0.463252\pi\) |
0.917856 | + | 0.396914i | \(0.129919\pi\) | |||||||
\(678\) | 10.2190 | − | 78.9653i | 0.392459 | − | 3.03265i | ||||
\(679\) | 2.57118 | + | 4.45341i | 0.0986727 | + | 0.170906i | ||||
\(680\) | 30.2007 | 1.15814 | ||||||||
\(681\) | 12.6983 | − | 16.6244i | 0.486598 | − | 0.637049i | ||||
\(682\) | −42.2773 | + | 11.3282i | −1.61888 | + | 0.433778i | ||||
\(683\) | −10.5239 | + | 39.2756i | −0.402684 | + | 1.50284i | 0.405603 | + | 0.914049i | \(0.367062\pi\) |
−0.808287 | + | 0.588789i | \(0.799605\pi\) | |||||||
\(684\) | −38.2411 | + | 66.9149i | −1.46219 | + | 2.55856i | ||||
\(685\) | −5.12257 | − | 8.87255i | −0.195723 | − | 0.339003i | ||||
\(686\) | −2.32976 | −0.0889506 | ||||||||
\(687\) | 18.6499 | − | 24.4163i | 0.711540 | − | 0.931539i | ||||
\(688\) | −6.31617 | − | 3.64664i | −0.240802 | − | 0.139027i | ||||
\(689\) | −9.01718 | + | 8.35564i | −0.343527 | + | 0.318325i | ||||
\(690\) | 12.5797 | − | 9.69683i | 0.478900 | − | 0.369152i | ||||
\(691\) | −20.1423 | − | 20.1423i | −0.766250 | − | 0.766250i | 0.211194 | − | 0.977444i | \(-0.432265\pi\) |
−0.977444 | + | 0.211194i | \(0.932265\pi\) | |||||||
\(692\) | 41.9565 | + | 24.2236i | 1.59495 | + | 0.920842i | ||||
\(693\) | −8.38924 | − | 8.31562i | −0.318681 | − | 0.315884i | ||||
\(694\) | 13.0737 | + | 13.0737i | 0.496269 | + | 0.496269i | ||||
\(695\) | −6.86040 | − | 25.6034i | −0.260230 | − | 0.971192i | ||||
\(696\) | −5.02238 | − | 0.649953i | −0.190373 | − | 0.0246364i | ||||
\(697\) | −5.80786 | − | 21.6752i | −0.219988 | − | 0.821008i | ||||
\(698\) | 13.7653i | 0.521023i | ||||||||
\(699\) | 11.1483 | + | 14.4626i | 0.421666 | + | 0.547026i | ||||
\(700\) | −2.29784 | + | 2.29784i | −0.0868502 | + | 0.0868502i | ||||
\(701\) | −4.19876 | −0.158585 | −0.0792924 | − | 0.996851i | \(-0.525266\pi\) | ||||
−0.0792924 | + | 0.996851i | \(0.525266\pi\) | |||||||
\(702\) | 40.8308 | − | 15.4271i | 1.54106 | − | 0.582258i | ||||
\(703\) | −62.3339 | −2.35097 | ||||||||
\(704\) | −34.6199 | + | 34.6199i | −1.30479 | + | 1.30479i | ||||
\(705\) | 23.2651 | + | 30.1818i | 0.876216 | + | 1.13671i | ||||
\(706\) | − | 10.6785i | − | 0.401889i | ||||||
\(707\) | −1.44317 | − | 5.38599i | −0.0542760 | − | 0.202561i | ||||
\(708\) | 23.0237 | + | 2.97952i | 0.865282 | + | 0.111977i | ||||
\(709\) | −0.0269017 | − | 0.100399i | −0.00101032 | − | 0.00377055i | 0.965419 | − | 0.260704i | \(-0.0839546\pi\) |
−0.966429 | + | 0.256933i | \(0.917288\pi\) | |||||||
\(710\) | −22.4681 | − | 22.4681i | −0.843211 | − | 0.843211i | ||||
\(711\) | −12.8439 | + | 3.50225i | −0.481683 | + | 0.131345i | ||||
\(712\) | 24.9340 | + | 14.3957i | 0.934442 | + | 0.539500i | ||||
\(713\) | 6.59722 | + | 6.59722i | 0.247068 | + | 0.247068i | ||||
\(714\) | −14.4150 | + | 11.1116i | −0.539469 | + | 0.415841i | ||||
\(715\) | −27.8646 | + | 6.34057i | −1.04208 | + | 0.237124i | ||||
\(716\) | −43.2622 | − | 24.9774i | −1.61678 | − | 0.933451i | ||||
\(717\) | −11.1481 | + | 14.5949i | −0.416332 | + | 0.545057i | ||||
\(718\) | −14.4553 | −0.539466 | ||||||||
\(719\) | 4.14672 | + | 7.18233i | 0.154646 | + | 0.267856i | 0.932930 | − | 0.360057i | \(-0.117243\pi\) |
−0.778284 | + | 0.627913i | \(0.783909\pi\) | |||||||
\(720\) | −5.39915 | + | 0.0237951i | −0.201215 | + | 0.000886792i | ||||
\(721\) | −3.28576 | + | 12.2626i | −0.122368 | + | 0.456684i | ||||
\(722\) | 83.6507 | − | 22.4141i | 3.11316 | − | 0.834168i | ||||
\(723\) | −29.8115 | + | 39.0289i | −1.10870 | + | 1.45150i | ||||
\(724\) | 83.2166 | 3.09272 | ||||||||
\(725\) | 0.416656 | + | 0.721670i | 0.0154742 | + | 0.0268022i | ||||
\(726\) | 2.33217 | − | 18.0214i | 0.0865549 | − | 0.668835i | ||||
\(727\) | −15.3306 | + | 8.85114i | −0.568581 | + | 0.328270i | −0.756582 | − | 0.653898i | \(-0.773132\pi\) |
0.188001 | + | 0.982169i | \(0.439799\pi\) | |||||||
\(728\) | 11.6944 | − | 2.66106i | 0.433425 | − | 0.0986253i | ||||
\(729\) | 18.8378 | − | 19.3426i | 0.697696 | − | 0.716394i | ||||
\(730\) | 47.2089 | − | 12.6496i | 1.74728 | − | 0.468182i | ||||
\(731\) | 36.7927i | 1.36083i | ||||||||
\(732\) | 8.66553 | + | 64.7189i | 0.320287 | + | 2.39208i | ||||
\(733\) | 49.0560 | − | 13.1445i | 1.81192 | − | 0.485503i | 0.816190 | − | 0.577783i | \(-0.196082\pi\) |
0.995733 | + | 0.0922798i | \(0.0294154\pi\) | |||||||
\(734\) | −5.16112 | + | 5.16112i | −0.190500 | + | 0.190500i | ||||
\(735\) | −0.447466 | + | 3.45770i | −0.0165050 | + | 0.127539i | ||||
\(736\) | 8.63116 | + | 2.31271i | 0.318149 | + | 0.0852477i | ||||
\(737\) | −38.9334 | + | 22.4782i | −1.43413 | + | 0.827995i | ||||
\(738\) | 9.14777 | + | 33.5479i | 0.336734 | + | 1.23491i | ||||
\(739\) | 9.95543 | + | 37.1542i | 0.366216 | + | 1.36674i | 0.865764 | + | 0.500452i | \(0.166833\pi\) |
−0.499548 | + | 0.866286i | \(0.666501\pi\) | |||||||
\(740\) | −28.6933 | − | 49.6982i | −1.05479 | − | 1.82694i | ||||
\(741\) | −42.5722 | − | 19.4502i | −1.56393 | − | 0.714519i | ||||
\(742\) | −3.97172 | + | 6.87923i | −0.145807 | + | 0.252544i | ||||
\(743\) | 31.2493 | + | 8.37322i | 1.14642 | + | 0.307184i | 0.781532 | − | 0.623866i | \(-0.214439\pi\) |
0.364893 | + | 0.931049i | \(0.381105\pi\) | |||||||
\(744\) | −3.64819 | − | 27.2467i | −0.133749 | − | 0.998912i | ||||
\(745\) | 2.66476 | + | 1.53850i | 0.0976294 | + | 0.0563664i | ||||
\(746\) | −2.72865 | + | 2.72865i | −0.0999030 | + | 0.0999030i | ||||
\(747\) | −4.71895 | + | 8.25728i | −0.172657 | + | 0.302118i | ||||
\(748\) | −58.8004 | − | 15.7555i | −2.14996 | − | 0.576079i | ||||
\(749\) | −1.35720 | + | 5.06514i | −0.0495911 | + | 0.185076i | ||||
\(750\) | 29.4964 | + | 38.2656i | 1.07706 | + | 1.39726i | ||||
\(751\) | 3.87301 | − | 2.23608i | 0.141328 | − | 0.0815959i | −0.427669 | − | 0.903936i | \(-0.640665\pi\) |
0.568997 | + | 0.822340i | \(0.307332\pi\) | |||||||
\(752\) | 2.52925 | − | 9.43930i | 0.0922324 | − | 0.344216i | ||||
\(753\) | −2.17619 | + | 5.28670i | −0.0793047 | + | 0.192658i | ||||
\(754\) | 0.280953 | − | 7.37825i | 0.0102317 | − | 0.268700i | ||||
\(755\) | − | 28.5153i | − | 1.03778i | ||||||
\(756\) | 14.0586 | − | 10.9360i | 0.511307 | − | 0.397737i | ||||
\(757\) | 6.57006 | − | 11.3797i | 0.238793 | − | 0.413602i | −0.721575 | − | 0.692336i | \(-0.756582\pi\) |
0.960368 | + | 0.278734i | \(0.0899149\pi\) | |||||||
\(758\) | −21.3677 | + | 37.0100i | −0.776110 | + | 1.34426i | ||||
\(759\) | −12.3090 | + | 5.13037i | −0.446789 | + | 0.186220i | ||||
\(760\) | 35.4852 | + | 35.4852i | 1.28718 | + | 1.28718i | ||||
\(761\) | −23.8978 | − | 23.8978i | −0.866295 | − | 0.866295i | 0.125765 | − | 0.992060i | \(-0.459861\pi\) |
−0.992060 | + | 0.125765i | \(0.959861\pi\) | |||||||
\(762\) | 51.2356 | + | 39.1354i | 1.85607 | + | 1.41773i | ||||
\(763\) | 0.504970 | − | 0.874634i | 0.0182812 | − | 0.0316639i | ||||
\(764\) | −13.1190 | + | 22.7228i | −0.474630 | + | 0.822084i | ||||
\(765\) | 13.7226 | + | 23.5282i | 0.496142 | + | 0.850663i | ||||
\(766\) | − | 6.32946i | − | 0.228693i | ||||||
\(767\) | −0.536470 | + | 14.0885i | −0.0193708 | + | 0.508707i | ||||
\(768\) | −22.5550 | − | 29.2606i | −0.813884 | − | 1.05585i | ||||
\(769\) | 2.28526 | − | 8.52871i | 0.0824086 | − | 0.307553i | −0.912402 | − | 0.409295i | \(-0.865775\pi\) |
0.994811 | + | 0.101742i | \(0.0324415\pi\) | |||||||
\(770\) | −15.9914 | + | 9.23261i | −0.576289 | + | 0.332720i | ||||
\(771\) | −10.1218 | + | 24.5893i | −0.364527 | + | 0.885561i | ||||
\(772\) | 9.96928 | − | 37.2058i | 0.358802 | − | 1.33907i | ||||
\(773\) | −0.425240 | − | 0.113943i | −0.0152948 | − | 0.00409824i | 0.251164 | − | 0.967945i | \(-0.419187\pi\) |
−0.266458 | + | 0.963846i | \(0.585853\pi\) | |||||||
\(774\) | −0.251268 | − | 57.0132i | −0.00903166 | − | 2.04930i | ||||
\(775\) | −3.19852 | + | 3.19852i | −0.114894 | + | 0.114894i | ||||
\(776\) | −14.8137 | − | 8.55267i | −0.531779 | − | 0.307023i | ||||
\(777\) | 13.3210 | + | 5.48337i | 0.477887 | + | 0.196715i | ||||
\(778\) | −0.112827 | − | 0.0302318i | −0.00404504 | − | 0.00108386i | ||||
\(779\) | 18.6439 | − | 32.2921i | 0.667986 | − | 1.15699i | ||||
\(780\) | −4.08925 | − | 42.8956i | −0.146419 | − | 1.53591i | ||||
\(781\) | 13.3388 | + | 23.1035i | 0.477301 | + | 0.826709i | ||||
\(782\) | 5.31808 | + | 19.8473i | 0.190174 | + | 0.709740i | ||||
\(783\) | −1.77572 | − | 4.20806i | −0.0634590 | − | 0.150384i | ||||
\(784\) | 0.774295 | − | 0.447039i | 0.0276534 | − | 0.0159657i | ||||
\(785\) | −41.2974 | − | 11.0656i | −1.47397 | − | 0.394948i | ||||
\(786\) | −42.0315 | − | 32.1050i | −1.49921 | − | 1.14515i | ||||
\(787\) | 18.2359 | − | 18.2359i | 0.650040 | − | 0.650040i | −0.302962 | − | 0.953003i | \(-0.597976\pi\) |
0.953003 | + | 0.302962i | \(0.0979756\pi\) | |||||||
\(788\) | −4.00499 | + | 1.07313i | −0.142672 | + | 0.0382288i | ||||
\(789\) | 31.2945 | − | 24.1229i | 1.11412 | − | 0.858798i | ||||
\(790\) | 20.8110i | 0.740421i | ||||||||
\(791\) | 19.0597 | − | 5.10702i | 0.677684 | − | 0.181585i | ||||
\(792\) | 37.9974 | + | 10.0021i | 1.35018 | + | 0.355409i | ||||
\(793\) | −38.6657 | + | 8.79835i | −1.37306 | + | 0.312438i | ||||
\(794\) | 3.32627 | − | 1.92042i | 0.118045 | − | 0.0681533i | ||||
\(795\) | 9.44694 | + | 7.21588i | 0.335049 | + | 0.255921i | ||||
\(796\) | 42.7645 | + | 74.0703i | 1.51575 | + | 2.62535i | ||||
\(797\) | 27.3619 | 0.969207 | 0.484604 | − | 0.874734i | \(-0.338964\pi\) | ||||
0.484604 | + | 0.874734i | \(0.338964\pi\) | |||||||
\(798\) | −29.9933 | − | 3.88148i | −1.06175 | − | 0.137403i | ||||
\(799\) | −47.6188 | + | 12.7594i | −1.68463 | + | 0.451395i | ||||
\(800\) | −1.12127 | + | 4.18464i | −0.0396429 | + | 0.147949i | ||||
\(801\) | 0.114438 | + | 25.9662i | 0.00404348 | + | 0.917472i | ||||
\(802\) | −28.9299 | − | 50.1080i | −1.02155 | − | 1.76937i | ||||
\(803\) | −41.0343 | −1.44807 | ||||||||
\(804\) | −26.0793 | − | 62.5707i | −0.919746 | − | 2.20670i | ||||
\(805\) | 3.40877 | + | 1.96805i | 0.120143 | + | 0.0693648i | ||||
\(806\) | 39.0807 | − | 8.89277i | 1.37656 | − | 0.313234i | ||||
\(807\) | −24.0588 | − | 9.90341i | −0.846908 | − | 0.348616i | ||||
\(808\) | 13.1152 | + | 13.1152i | 0.461393 | + | 0.461393i | ||||
\(809\) | −6.51449 | − | 3.76114i | −0.229037 | − | 0.132235i | 0.381091 | − | 0.924538i | \(-0.375549\pi\) |
−0.610128 | + | 0.792303i | \(0.708882\pi\) | |||||||
\(810\) | −21.4250 | − | 36.3651i | −0.752796 | − | 1.27774i | ||||
\(811\) | −33.5200 | − | 33.5200i | −1.17705 | − | 1.17705i | −0.980493 | − | 0.196555i | \(-0.937024\pi\) |
−0.196555 | − | 0.980493i | \(-0.562976\pi\) | |||||||
\(812\) | −0.779818 | − | 2.91032i | −0.0273663 | − | 0.102132i | ||||
\(813\) | −7.17600 | + | 9.39474i | −0.251673 | + | 0.329488i | ||||
\(814\) | 19.7462 | + | 73.6937i | 0.692103 | + | 2.58296i | ||||
\(815\) | 19.5899i | 0.686204i | ||||||||
\(816\) | 2.65872 | − | 6.45893i | 0.0930737 | − | 0.226108i | ||||
\(817\) | −43.2307 | + | 43.2307i | −1.51245 | + | 1.51245i | ||||
\(818\) | 9.54516 | 0.333739 | ||||||||
\(819\) | 7.38685 | + | 7.90155i | 0.258117 | + | 0.276102i | ||||
\(820\) | 34.3282 | 1.19879 | ||||||||
\(821\) | −0.0339086 | + | 0.0339086i | −0.00118342 | + | 0.00118342i | −0.707698 | − | 0.706515i | \(-0.750266\pi\) |
0.706515 | + | 0.707698i | \(0.250266\pi\) | |||||||
\(822\) | −20.3563 | + | 2.72560i | −0.710006 | + | 0.0950662i | ||||
\(823\) | 10.1808i | 0.354882i | 0.984131 | + | 0.177441i | \(0.0567818\pi\) | ||||
−0.984131 | + | 0.177441i | \(0.943218\pi\) | |||||||
\(824\) | −10.9296 | − | 40.7900i | −0.380752 | − | 1.42099i | ||||
\(825\) | −2.48735 | − | 5.96777i | −0.0865984 | − | 0.207771i | ||||
\(826\) | 2.35784 | + | 8.79960i | 0.0820399 | + | 0.306177i | ||||
\(827\) | −30.5861 | − | 30.5861i | −1.06358 | − | 1.06358i | −0.997836 | − | 0.0657454i | \(-0.979057\pi\) |
−0.0657454 | − | 0.997836i | \(-0.520943\pi\) | |||||||
\(828\) | −5.28986 | − | 19.3996i | −0.183835 | − | 0.674184i | ||||
\(829\) | 25.3584 | + | 14.6407i | 0.880735 | + | 0.508493i | 0.870901 | − | 0.491459i | \(-0.163536\pi\) |
0.00983439 | + | 0.999952i | \(0.496870\pi\) | |||||||
\(830\) | 10.5127 | + | 10.5127i | 0.364902 | + | 0.364902i | ||||
\(831\) | −4.94014 | − | 36.8957i | −0.171372 | − | 1.27990i | ||||
\(832\) | 32.8853 | − | 30.4728i | 1.14009 | − | 1.05645i | ||||
\(833\) | −3.90611 | − | 2.25519i | −0.135339 | − | 0.0781378i | ||||
\(834\) | −52.6969 | − | 6.81958i | −1.82475 | − | 0.236143i | ||||
\(835\) | −7.17197 | −0.248196 | ||||||||
\(836\) | −50.5769 | − | 87.6018i | −1.74924 | − | 3.02977i | ||||
\(837\) | 19.5692 | − | 15.2225i | 0.676409 | − | 0.526168i | ||||
\(838\) | −13.3212 | + | 49.7156i | −0.460175 | + | 1.71740i | ||||
\(839\) | −34.3208 | + | 9.19623i | −1.18489 | + | 0.317489i | −0.796863 | − | 0.604161i | \(-0.793509\pi\) |
−0.388023 | + | 0.921650i | \(0.626842\pi\) | |||||||
\(840\) | −4.46176 | − | 10.7049i | −0.153945 | − | 0.369353i | ||||
\(841\) | 28.2274 | 0.973358 | ||||||||
\(842\) | 32.6037 | + | 56.4713i | 1.12360 | + | 1.94613i | ||||
\(843\) | −16.9914 | + | 7.08199i | −0.585216 | + | 0.243917i | ||||
\(844\) | −29.1819 | + | 16.8482i | −1.00448 | + | 0.579939i | ||||
\(845\) | 25.7185 | − | 4.83104i | 0.884745 | − | 0.166193i | ||||
\(846\) | 73.7019 | − | 20.0969i | 2.53393 | − | 0.690947i | ||||
\(847\) | 4.34977 | − | 1.16552i | 0.149460 | − | 0.0400476i | ||||
\(848\) | − | 3.04841i | − | 0.104683i | ||||||
\(849\) | −28.0520 | − | 11.5472i | −0.962742 | − | 0.396298i | ||||
\(850\) | −9.62257 | + | 2.57836i | −0.330051 | + | 0.0884370i | ||||
\(851\) | 11.4996 | − | 11.4996i | 0.394202 | − | 0.394202i | ||||
\(852\) | −37.1302 | + | 15.4758i | −1.27206 | + | 0.530191i | ||||
\(853\) | −21.9751 | − | 5.88822i | −0.752414 | − | 0.201609i | −0.137826 | − | 0.990457i | \(-0.544011\pi\) |
−0.614589 | + | 0.788848i | \(0.710678\pi\) | |||||||
\(854\) | −22.1900 | + | 12.8114i | −0.759328 | + | 0.438398i | ||||
\(855\) | −11.5213 | + | 43.7689i | −0.394022 | + | 1.49687i | ||||
\(856\) | −4.51455 | − | 16.8485i | −0.154304 | − | 0.575870i | ||||
\(857\) | 22.6931 | + | 39.3056i | 0.775181 | + | 1.34265i | 0.934693 | + | 0.355456i | \(0.115675\pi\) |
−0.159512 | + | 0.987196i | \(0.550992\pi\) | |||||||
\(858\) | −9.50871 | + | 56.4921i | −0.324622 | + | 1.92861i | ||||
\(859\) | −1.17827 | + | 2.04083i | −0.0402022 | + | 0.0696322i | −0.885426 | − | 0.464780i | \(-0.846134\pi\) |
0.845224 | + | 0.534412i | \(0.179467\pi\) | |||||||
\(860\) | −54.3672 | − | 14.5676i | −1.85390 | − | 0.496752i | ||||
\(861\) | −6.82492 | + | 5.26088i | −0.232593 | + | 0.179290i | ||||
\(862\) | −2.30444 | − | 1.33047i | −0.0784895 | − | 0.0453159i | ||||
\(863\) | −19.8343 | + | 19.8343i | −0.675167 | + | 0.675167i | −0.958902 | − | 0.283736i | \(-0.908426\pi\) |
0.283736 | + | 0.958902i | \(0.408426\pi\) | |||||||
\(864\) | 8.94162 | − | 21.9972i | 0.304200 | − | 0.748359i | ||||
\(865\) | 27.4810 | + | 7.36352i | 0.934383 | + | 0.250367i | ||||
\(866\) | −22.0600 | + | 82.3289i | −0.749628 | + | 2.79765i | ||||
\(867\) | −5.74005 | + | 0.768563i | −0.194942 | + | 0.0261018i | ||||
\(868\) | 14.1640 | − | 8.17756i | 0.480756 | − | 0.277565i | ||||
\(869\) | 4.52226 | − | 16.8773i | 0.153407 | − | 0.572523i | ||||
\(870\) | −7.07671 | + | 0.947535i | −0.239923 | + | 0.0321245i | ||||
\(871\) | 36.4093 | − | 19.2121i | 1.23368 | − | 0.650978i | ||||
\(872\) | 3.35943i | 0.113765i | ||||||||
\(873\) | −0.0679894 | − | 15.4269i | −0.00230109 | − | 0.522122i | ||||
\(874\) | −17.0716 | + | 29.5689i | −0.577456 | + | 1.00018i | ||||
\(875\) | −5.98655 | + | 10.3690i | −0.202382 | + | 0.350536i | ||||
\(876\) | 7.94099 | − | 61.3623i | 0.268301 | − | 2.07324i | ||||
\(877\) | −15.2941 | − | 15.2941i | −0.516445 | − | 0.516445i | 0.400049 | − | 0.916494i | \(-0.368993\pi\) |
−0.916494 | + | 0.400049i | \(0.868993\pi\) | |||||||
\(878\) | 33.6516 | + | 33.6516i | 1.13569 | + | 1.13569i | ||||
\(879\) | 5.82885 | − | 45.0412i | 0.196602 | − | 1.51920i | ||||
\(880\) | 3.54315 | − | 6.13692i | 0.119440 | − | 0.206875i | ||||
\(881\) | −21.1109 | + | 36.5652i | −0.711245 | + | 1.23191i | 0.253145 | + | 0.967428i | \(0.418535\pi\) |
−0.964390 | + | 0.264484i | \(0.914798\pi\) | |||||||
\(882\) | 6.06823 | + | 3.46793i | 0.204328 | + | 0.116771i | ||||
\(883\) | − | 7.28701i | − | 0.245228i | −0.992454 | − | 0.122614i | \(-0.960872\pi\) | ||
0.992454 | − | 0.122614i | \(-0.0391276\pi\) | |||||||
\(884\) | 53.2565 | + | 16.4660i | 1.79121 | + | 0.553811i | ||||
\(885\) | 13.5127 | − | 1.80929i | 0.454226 | − | 0.0608185i | ||||
\(886\) | −12.9944 | + | 48.4957i | −0.436555 | + | 1.62924i | ||||
\(887\) | 2.31006 | − | 1.33371i | 0.0775641 | − | 0.0447817i | −0.460716 | − | 0.887547i | \(-0.652407\pi\) |
0.538280 | + | 0.842766i | \(0.319074\pi\) | |||||||
\(888\) | −47.4938 | + | 6.35918i | −1.59379 | + | 0.213400i | ||||
\(889\) | −4.13521 | + | 15.4328i | −0.138690 | + | 0.517600i | ||||
\(890\) | 39.2084 | + | 10.5059i | 1.31427 | + | 0.352158i | ||||
\(891\) | 9.47304 | + | 34.1471i | 0.317359 | + | 1.14397i | ||||
\(892\) | 7.59805 | − | 7.59805i | 0.254402 | − | 0.254402i | ||||
\(893\) | −70.9432 | − | 40.9591i | −2.37402 | − | 1.37064i | ||||
\(894\) | 4.88537 | − | 3.76581i | 0.163391 | − | 0.125947i | ||||
\(895\) | −28.3363 | − | 7.59268i | −0.947178 | − | 0.253795i | ||||
\(896\) | 9.91500 | − | 17.1733i | 0.331237 | − | 0.573719i | ||||
\(897\) | 11.4422 | − | 4.26566i | 0.382043 | − | 0.142426i | ||||
\(898\) | 18.8924 | + | 32.7226i | 0.630449 | + | 1.09197i | ||||
\(899\) | −1.08548 | − | 4.05108i | −0.0362029 | − | 0.135111i | ||||
\(900\) | 9.40551 | − | 2.56468i | 0.313517 | − | 0.0854893i | ||||
\(901\) | −13.3181 | + | 7.68922i | −0.443691 | + | 0.256165i | ||||
\(902\) | −44.0831 | − | 11.8120i | −1.46781 | − | 0.393297i | ||||
\(903\) | 13.0415 | − | 5.43565i | 0.433993 | − | 0.180887i | ||||
\(904\) | −46.4116 | + | 46.4116i | −1.54363 | + | 1.54363i | ||||
\(905\) | 47.2036 | − | 12.6482i | 1.56910 | − | 0.420439i | ||||
\(906\) | −52.8599 | − | 21.7589i | −1.75615 | − | 0.722892i | ||||
\(907\) | − | 49.7349i | − | 1.65142i | −0.564095 | − | 0.825710i | \(-0.690775\pi\) | ||
0.564095 | − | 0.825710i | \(-0.309225\pi\) | |||||||
\(908\) | −39.9891 | + | 10.7151i | −1.32709 | + | 0.355592i | ||||
\(909\) | −4.25826 | + | 16.1769i | −0.141238 | + | 0.536553i | ||||
\(910\) | 14.9546 | − | 7.89113i | 0.495741 | − | 0.261588i | ||||
\(911\) | 19.4310 | − | 11.2185i | 0.643778 | − | 0.371685i | −0.142290 | − | 0.989825i | \(-0.545447\pi\) |
0.786068 | + | 0.618140i | \(0.212113\pi\) | |||||||
\(912\) | 10.7131 | − | 4.46518i | 0.354745 | − | 0.147857i | ||||
\(913\) | −6.24118 | − | 10.8100i | −0.206553 | − | 0.357760i | ||||
\(914\) | 33.1866 | 1.09772 | ||||||||
\(915\) | 14.7521 | + | 35.3939i | 0.487689 | + | 1.17009i | ||||
\(916\) | −58.7321 | + | 15.7372i | −1.94056 | + | 0.519972i | ||||
\(917\) | 3.39235 | − | 12.6604i | 0.112025 | − | 0.418083i | ||||
\(918\) | 54.0863 | − | 7.48467i | 1.78511 | − | 0.247031i | ||||
\(919\) | −10.6990 | − | 18.5312i | −0.352927 | − | 0.611287i | 0.633834 | − | 0.773469i | \(-0.281480\pi\) |
−0.986761 | + | 0.162182i | \(0.948147\pi\) | |||||||
\(920\) | −13.0929 | −0.431661 | ||||||||
\(921\) | 18.7133 | + | 2.42172i | 0.616625 | + | 0.0797983i | ||||
\(922\) | −58.9252 | − | 34.0205i | −1.94060 | − | 1.12040i | ||||
\(923\) | −11.4007 | − | 21.6057i | −0.375259 | − | 0.711161i | ||||
\(924\) | 3.10234 | + | 23.1699i | 0.102059 | + | 0.762235i | ||||
\(925\) | 5.57536 | + | 5.57536i | 0.183317 | + | 0.183317i | ||||
\(926\) | −16.7350 | − | 9.66195i | −0.549946 | − | 0.317512i | ||||
\(927\) | 26.8117 | − | 27.0490i | 0.880610 | − | 0.888407i | ||||
\(928\) | −2.84029 | − | 2.84029i | −0.0932369 | − | 0.0932369i | ||||
\(929\) | 3.81715 | + | 14.2458i | 0.125237 | + | 0.467390i | 0.999848 | − | 0.0174351i | \(-0.00555005\pi\) |
−0.874611 | + | 0.484825i | \(0.838883\pi\) | |||||||
\(930\) | −14.9104 | − | 35.7737i | −0.488931 | − | 1.17307i | ||||
\(931\) | −1.93979 | − | 7.23941i | −0.0635742 | − | 0.237262i | ||||
\(932\) | − | 36.1383i | − | 1.18375i | ||||||
\(933\) | 9.61236 | − | 1.28705i | 0.314695 | − | 0.0421360i | ||||
\(934\) | 48.5283 | − | 48.5283i | 1.58789 | − | 1.58789i | ||||
\(935\) | −35.7485 | −1.16910 | ||||||||
\(936\) | −34.4211 | − | 10.4764i | −1.12509 | − | 0.342433i | ||||
\(937\) | 28.3283 | 0.925444 | 0.462722 | − | 0.886504i | \(-0.346873\pi\) | ||||
0.462722 | + | 0.886504i | \(0.346873\pi\) | |||||||
\(938\) | 18.8095 | − | 18.8095i | 0.614150 | − | 0.614150i | ||||
\(939\) | −3.23101 | + | 7.84923i | −0.105440 | + | 0.256150i | ||||
\(940\) | − | 75.4163i | − | 2.45981i | ||||||
\(941\) | 4.96363 | + | 18.5245i | 0.161810 | + | 0.603882i | 0.998426 | + | 0.0560923i | \(0.0178641\pi\) |
−0.836616 | + | 0.547790i | \(0.815469\pi\) | |||||||
\(942\) | −52.0252 | + | 68.1108i | −1.69507 | + | 2.21917i | ||||
\(943\) | 2.51789 | + | 9.39689i | 0.0819937 | + | 0.306005i | ||||
\(944\) | −2.47212 | − | 2.47212i | −0.0804605 | − | 0.0804605i | ||||
\(945\) | 6.31240 | − | 8.34007i | 0.205342 | − | 0.271302i | ||||
\(946\) | 64.8037 | + | 37.4145i | 2.10695 | + | 1.21645i | ||||
\(947\) | 25.7985 | + | 25.7985i | 0.838338 | + | 0.838338i | 0.988640 | − | 0.150302i | \(-0.0480245\pi\) |
−0.150302 | + | 0.988640i | \(0.548025\pi\) | |||||||
\(948\) | 24.3630 | + | 10.0287i | 0.791275 | + | 0.325716i | ||||
\(949\) | 37.5485 | + | 1.42979i | 1.21888 | + | 0.0464131i | ||||
\(950\) | −14.3359 | − | 8.27681i | −0.465117 | − | 0.268535i | ||||
\(951\) | 18.0532 | + | 43.3140i | 0.585414 | + | 1.40455i | ||||
\(952\) | 15.0032 | 0.486256 | ||||||||
\(953\) | 18.7714 | + | 32.5129i | 0.608064 | + | 1.05320i | 0.991559 | + | 0.129655i | \(0.0413868\pi\) |
−0.383495 | + | 0.923543i | \(0.625280\pi\) | |||||||
\(954\) | 20.5850 | − | 12.0060i | 0.666463 | − | 0.388709i | ||||
\(955\) | −3.98795 | + | 14.8832i | −0.129047 | + | 0.481610i | ||||
\(956\) | 35.1073 | − | 9.40697i | 1.13545 | − | 0.304243i | ||||
\(957\) | 5.94498 | + | 0.769348i | 0.192174 | + | 0.0248695i | ||||
\(958\) | −82.3182 | −2.65958 | ||||||||
\(959\) | −2.54481 | − | 4.40774i | −0.0821761 | − | 0.142333i | ||||
\(960\) | −34.4527 | − | 26.3161i | −1.11196 | − | 0.849347i | ||||
\(961\) | −7.13099 | + | 4.11708i | −0.230032 | + | 0.132809i | ||||
\(962\) | −15.5010 | − | 68.1217i | −0.499773 | − | 2.19633i | ||||
\(963\) | 11.0747 | − | 11.1727i | 0.356877 | − | 0.360037i | ||||
\(964\) | 93.8819 | − | 25.1556i | 3.02373 | − | 0.810207i | ||||
\(965\) | − | 22.6198i | − | 0.728157i | ||||||
\(966\) | 6.24937 | − | 4.81722i | 0.201070 | − | 0.154992i | ||||
\(967\) | −21.1609 | + | 5.67004i | −0.680488 | + | 0.182336i | −0.582474 | − | 0.812849i | \(-0.697915\pi\) |
−0.0980131 | + | 0.995185i | \(0.531249\pi\) | |||||||
\(968\) | −10.5920 | + | 10.5920i | −0.340439 | + | 0.340439i | ||||
\(969\) | −46.5300 | − | 35.5411i | −1.49476 | − | 1.14175i | ||||
\(970\) | −23.2943 | − | 6.24169i | −0.747935 | − | 0.200408i | ||||
\(971\) | 46.7308 | − | 26.9800i | 1.49966 | − | 0.865830i | 0.499661 | − | 0.866221i | \(-0.333458\pi\) |
1.00000 | 0.000391080i | \(0.000124485\pi\) | ||||||||
\(972\) | −52.8965 | + | 7.55775i | −1.69666 | + | 0.242415i | ||||
\(973\) | −3.40813 | − | 12.7193i | −0.109260 | − | 0.407763i | ||||
\(974\) | −34.7264 | − | 60.1479i | −1.11271 | − | 1.92726i | ||||
\(975\) | 2.06812 | + | 5.54749i | 0.0662328 | + | 0.177662i | ||||
\(976\) | 4.91657 | − | 8.51575i | 0.157376 | − | 0.272583i | ||||
\(977\) | 16.7216 | + | 4.48055i | 0.534973 | + | 0.143346i | 0.516184 | − | 0.856478i | \(-0.327352\pi\) |
0.0187891 | + | 0.999823i | \(0.494019\pi\) | |||||||
\(978\) | 36.3145 | + | 14.9483i | 1.16121 | + | 0.477994i | ||||
\(979\) | −29.5144 | − | 17.0401i | −0.943283 | − | 0.544605i | ||||
\(980\) | 4.87899 | − | 4.87899i | 0.155854 | − | 0.155854i | ||||
\(981\) | −2.61720 | + | 1.52646i | −0.0835608 | + | 0.0487361i | ||||
\(982\) | 88.6765 | + | 23.7608i | 2.82978 | + | 0.758238i | ||||
\(983\) | 13.3326 | − | 49.7578i | 0.425242 | − | 1.58703i | −0.338150 | − | 0.941092i | \(-0.609801\pi\) |
0.763393 | − | 0.645935i | \(-0.223532\pi\) | |||||||
\(984\) | 10.9109 | − | 26.5062i | 0.347825 | − | 0.844986i | ||||
\(985\) | −2.10867 | + | 1.21744i | −0.0671879 | + | 0.0387909i | ||||
\(986\) | 2.39060 | − | 8.92183i | 0.0761321 | − | 0.284129i | ||||
\(987\) | 11.5577 | + | 14.9938i | 0.367887 | + | 0.477258i | ||||
\(988\) | 43.2282 | + | 81.9226i | 1.37527 | + | 2.60630i | ||||
\(989\) | − | 15.9508i | − | 0.507205i | ||||||
\(990\) | 55.3951 | − | 0.244137i | 1.76057 | − | 0.00775919i | ||||
\(991\) | −25.5991 | + | 44.3389i | −0.813182 | + | 1.40847i | 0.0974445 | + | 0.995241i | \(0.468933\pi\) |
−0.910626 | + | 0.413231i | \(0.864400\pi\) | |||||||
\(992\) | 10.9019 | − | 18.8827i | 0.346137 | − | 0.599526i | ||||
\(993\) | −10.8958 | − | 8.32255i | −0.345767 | − | 0.264108i | ||||
\(994\) | −11.1618 | − | 11.1618i | −0.354029 | − | 0.354029i | ||||
\(995\) | 35.5156 | + | 35.5156i | 1.12592 | + | 1.12592i | ||||
\(996\) | 17.3731 | − | 7.24105i | 0.550486 | − | 0.229441i | ||||
\(997\) | 23.7882 | − | 41.2024i | 0.753381 | − | 1.30489i | −0.192794 | − | 0.981239i | \(-0.561755\pi\) |
0.946175 | − | 0.323655i | \(-0.104912\pi\) | |||||||
\(998\) | 24.7287 | − | 42.8313i | 0.782772 | − | 1.35580i | ||||
\(999\) | −26.5345 | − | 34.1111i | −0.839513 | − | 1.07923i |
(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 | 819.2.ew.a.176.8 | ✓ | 336 | |
9.2 | odd | 6 | 819.2.fy.a.722.8 | yes | 336 | ||
13.2 | odd | 12 | 819.2.fy.a.743.8 | yes | 336 | ||
117.2 | even | 12 | inner | 819.2.ew.a.470.8 | yes | 336 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
819.2.ew.a.176.8 | ✓ | 336 | 1.1 | even | 1 | trivial | |
819.2.ew.a.470.8 | yes | 336 | 117.2 | even | 12 | inner | |
819.2.fy.a.722.8 | yes | 336 | 9.2 | odd | 6 | ||
819.2.fy.a.743.8 | yes | 336 | 13.2 | odd | 12 |