Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [546,2,Mod(17,546)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(546, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 1, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("546.17");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 546.bi (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: | \(4.35983195036\) |
Analytic rank: | \(0\) |
Dimension: | \(34\) |
Relative dimension: | \(17\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 17.1 | ||
Character | \(\chi\) | \(=\) | 546.17 |
Dual form | 546.2.bi.f.257.1 |
$q$-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 \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).
\(n\) | \(157\) | \(365\) | \(379\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(-1\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.00000 | 0.707107 | ||||||||
\(3\) | −1.72563 | − | 0.148954i | −0.996295 | − | 0.0859986i | ||||
\(4\) | 1.00000 | 0.500000 | ||||||||
\(5\) | 3.72094 | − | 2.14828i | 1.66405 | − | 0.960742i | 0.693306 | − | 0.720644i | \(-0.256154\pi\) |
0.970749 | − | 0.240098i | \(-0.0771797\pi\) | |||||||
\(6\) | −1.72563 | − | 0.148954i | −0.704487 | − | 0.0608102i | ||||
\(7\) | 1.54641 | + | 2.14677i | 0.584490 | + | 0.811401i | ||||
\(8\) | 1.00000 | 0.353553 | ||||||||
\(9\) | 2.95563 | + | 0.514080i | 0.985208 | + | 0.171360i | ||||
\(10\) | 3.72094 | − | 2.14828i | 1.17666 | − | 0.679347i | ||||
\(11\) | −2.26010 | − | 3.91461i | −0.681446 | − | 1.18030i | −0.974540 | − | 0.224215i | \(-0.928018\pi\) |
0.293094 | − | 0.956084i | \(-0.405315\pi\) | |||||||
\(12\) | −1.72563 | − | 0.148954i | −0.498148 | − | 0.0429993i | ||||
\(13\) | −2.01824 | + | 2.98776i | −0.559760 | + | 0.828655i | ||||
\(14\) | 1.54641 | + | 2.14677i | 0.413297 | + | 0.573747i | ||||
\(15\) | −6.74097 | + | 3.15290i | −1.74051 | + | 0.814077i | ||||
\(16\) | 1.00000 | 0.250000 | ||||||||
\(17\) | 0.192561 | 0.0467030 | 0.0233515 | − | 0.999727i | \(-0.492566\pi\) | ||||
0.0233515 | + | 0.999727i | \(0.492566\pi\) | |||||||
\(18\) | 2.95563 | + | 0.514080i | 0.696648 | + | 0.121170i | ||||
\(19\) | −0.845613 | + | 1.46464i | −0.193997 | + | 0.336013i | −0.946571 | − | 0.322495i | \(-0.895479\pi\) |
0.752574 | + | 0.658507i | \(0.228812\pi\) | |||||||
\(20\) | 3.72094 | − | 2.14828i | 0.832027 | − | 0.480371i | ||||
\(21\) | −2.34878 | − | 3.93488i | −0.512545 | − | 0.858660i | ||||
\(22\) | −2.26010 | − | 3.91461i | −0.481855 | − | 0.834597i | ||||
\(23\) | − | 1.40960i | − | 0.293922i | −0.989142 | − | 0.146961i | \(-0.953051\pi\) | ||
0.989142 | − | 0.146961i | \(-0.0469492\pi\) | |||||||
\(24\) | −1.72563 | − | 0.148954i | −0.352244 | − | 0.0304051i | ||||
\(25\) | 6.73025 | − | 11.6571i | 1.34605 | − | 2.33143i | ||||
\(26\) | −2.01824 | + | 2.98776i | −0.395810 | + | 0.585947i | ||||
\(27\) | −5.02375 | − | 1.32737i | −0.966822 | − | 0.255452i | ||||
\(28\) | 1.54641 | + | 2.14677i | 0.292245 | + | 0.405701i | ||||
\(29\) | 8.66432 | + | 5.00235i | 1.60892 | + | 0.928913i | 0.989611 | + | 0.143769i | \(0.0459222\pi\) |
0.619313 | + | 0.785144i | \(0.287411\pi\) | |||||||
\(30\) | −6.74097 | + | 3.15290i | −1.23073 | + | 0.575639i | ||||
\(31\) | 1.16127 | − | 2.01138i | 0.208570 | − | 0.361254i | −0.742694 | − | 0.669631i | \(-0.766452\pi\) |
0.951264 | + | 0.308377i | \(0.0997857\pi\) | |||||||
\(32\) | 1.00000 | 0.176777 | ||||||||
\(33\) | 3.31701 | + | 7.09183i | 0.577417 | + | 1.23453i | ||||
\(34\) | 0.192561 | 0.0330240 | ||||||||
\(35\) | 10.3660 | + | 4.66584i | 1.75217 | + | 0.788671i | ||||
\(36\) | 2.95563 | + | 0.514080i | 0.492604 | + | 0.0856800i | ||||
\(37\) | − | 5.70199i | − | 0.937401i | −0.883357 | − | 0.468700i | \(-0.844722\pi\) | ||
0.883357 | − | 0.468700i | \(-0.155278\pi\) | |||||||
\(38\) | −0.845613 | + | 1.46464i | −0.137177 | + | 0.237597i | ||||
\(39\) | 3.92779 | − | 4.85515i | 0.628949 | − | 0.777446i | ||||
\(40\) | 3.72094 | − | 2.14828i | 0.588332 | − | 0.339674i | ||||
\(41\) | −1.24309 | − | 0.717699i | −0.194138 | − | 0.112086i | 0.399780 | − | 0.916611i | \(-0.369086\pi\) |
−0.593918 | + | 0.804525i | \(0.702420\pi\) | |||||||
\(42\) | −2.34878 | − | 3.93488i | −0.362424 | − | 0.607165i | ||||
\(43\) | 1.73181 | + | 2.99958i | 0.264099 | + | 0.457432i | 0.967327 | − | 0.253532i | \(-0.0815923\pi\) |
−0.703229 | + | 0.710964i | \(0.748259\pi\) | |||||||
\(44\) | −2.26010 | − | 3.91461i | −0.340723 | − | 0.590149i | ||||
\(45\) | 12.1021 | − | 4.43667i | 1.80407 | − | 0.661379i | ||||
\(46\) | − | 1.40960i | − | 0.207834i | ||||||
\(47\) | −8.70281 | + | 5.02457i | −1.26944 | + | 0.732909i | −0.974881 | − | 0.222726i | \(-0.928504\pi\) |
−0.294554 | + | 0.955635i | \(0.595171\pi\) | |||||||
\(48\) | −1.72563 | − | 0.148954i | −0.249074 | − | 0.0214996i | ||||
\(49\) | −2.21720 | + | 6.63958i | −0.316743 | + | 0.948511i | ||||
\(50\) | 6.73025 | − | 11.6571i | 0.951802 | − | 1.64857i | ||||
\(51\) | −0.332290 | − | 0.0286827i | −0.0465299 | − | 0.00401639i | ||||
\(52\) | −2.01824 | + | 2.98776i | −0.279880 | + | 0.414327i | ||||
\(53\) | −5.59277 | − | 3.22899i | −0.768226 | − | 0.443536i | 0.0640153 | − | 0.997949i | \(-0.479609\pi\) |
−0.832241 | + | 0.554413i | \(0.812943\pi\) | |||||||
\(54\) | −5.02375 | − | 1.32737i | −0.683646 | − | 0.180632i | ||||
\(55\) | −16.8194 | − | 9.71067i | −2.26792 | − | 1.30939i | ||||
\(56\) | 1.54641 | + | 2.14677i | 0.206648 | + | 0.286874i | ||||
\(57\) | 1.67738 | − | 2.40148i | 0.222175 | − | 0.318084i | ||||
\(58\) | 8.66432 | + | 5.00235i | 1.13768 | + | 0.656841i | ||||
\(59\) | − | 3.66871i | − | 0.477625i | −0.971066 | − | 0.238813i | \(-0.923242\pi\) | ||
0.971066 | − | 0.238813i | \(-0.0767582\pi\) | |||||||
\(60\) | −6.74097 | + | 3.15290i | −0.870256 | + | 0.407038i | ||||
\(61\) | −7.02534 | − | 4.05608i | −0.899503 | − | 0.519328i | −0.0224638 | − | 0.999748i | \(-0.507151\pi\) |
−0.877039 | + | 0.480420i | \(0.840484\pi\) | |||||||
\(62\) | 1.16127 | − | 2.01138i | 0.147481 | − | 0.255445i | ||||
\(63\) | 3.46701 | + | 7.14002i | 0.436803 | + | 0.899557i | ||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | −1.09120 | + | 15.4530i | −0.135347 | + | 1.91671i | ||||
\(66\) | 3.31701 | + | 7.09183i | 0.408296 | + | 0.872944i | ||||
\(67\) | −4.38012 | + | 2.52887i | −0.535117 | + | 0.308950i | −0.743098 | − | 0.669183i | \(-0.766644\pi\) |
0.207980 | + | 0.978133i | \(0.433311\pi\) | |||||||
\(68\) | 0.192561 | 0.0233515 | ||||||||
\(69\) | −0.209966 | + | 2.43246i | −0.0252769 | + | 0.292833i | ||||
\(70\) | 10.3660 | + | 4.66584i | 1.23897 | + | 0.557675i | ||||
\(71\) | 5.59208 | + | 9.68576i | 0.663658 | + | 1.14949i | 0.979647 | + | 0.200726i | \(0.0643301\pi\) |
−0.315990 | + | 0.948763i | \(0.602337\pi\) | |||||||
\(72\) | 2.95563 | + | 0.514080i | 0.348324 | + | 0.0605849i | ||||
\(73\) | −5.90130 | + | 10.2214i | −0.690695 | + | 1.19632i | 0.280915 | + | 0.959733i | \(0.409362\pi\) |
−0.971610 | + | 0.236586i | \(0.923971\pi\) | |||||||
\(74\) | − | 5.70199i | − | 0.662842i | ||||||
\(75\) | −13.3503 | + | 19.1135i | −1.54156 | + | 2.20703i | ||||
\(76\) | −0.845613 | + | 1.46464i | −0.0969985 | + | 0.168006i | ||||
\(77\) | 4.90869 | − | 10.9055i | 0.559397 | − | 1.24280i | ||||
\(78\) | 3.92779 | − | 4.85515i | 0.444734 | − | 0.549738i | ||||
\(79\) | −1.93078 | − | 3.34421i | −0.217230 | − | 0.376253i | 0.736730 | − | 0.676187i | \(-0.236369\pi\) |
−0.953960 | + | 0.299934i | \(0.903035\pi\) | |||||||
\(80\) | 3.72094 | − | 2.14828i | 0.416014 | − | 0.240186i | ||||
\(81\) | 8.47144 | + | 3.03885i | 0.941272 | + | 0.337650i | ||||
\(82\) | −1.24309 | − | 0.717699i | −0.137276 | − | 0.0792566i | ||||
\(83\) | − | 4.15111i | − | 0.455643i | −0.973703 | − | 0.227822i | \(-0.926840\pi\) | ||
0.973703 | − | 0.227822i | \(-0.0731603\pi\) | |||||||
\(84\) | −2.34878 | − | 3.93488i | −0.256273 | − | 0.429330i | ||||
\(85\) | 0.716508 | − | 0.413676i | 0.0777162 | − | 0.0448695i | ||||
\(86\) | 1.73181 | + | 2.99958i | 0.186746 | + | 0.323453i | ||||
\(87\) | −14.2063 | − | 9.92281i | −1.52308 | − | 1.06384i | ||||
\(88\) | −2.26010 | − | 3.91461i | −0.240927 | − | 0.417299i | ||||
\(89\) | − | 2.16589i | − | 0.229584i | −0.993390 | − | 0.114792i | \(-0.963380\pi\) | ||
0.993390 | − | 0.114792i | \(-0.0366202\pi\) | |||||||
\(90\) | 12.1021 | − | 4.43667i | 1.27567 | − | 0.467666i | ||||
\(91\) | −9.53506 | + | 0.287618i | −0.999545 | + | 0.0301505i | ||||
\(92\) | − | 1.40960i | − | 0.146961i | ||||||
\(93\) | −2.30353 | + | 3.29793i | −0.238865 | + | 0.341979i | ||||
\(94\) | −8.70281 | + | 5.02457i | −0.897626 | + | 0.518245i | ||||
\(95\) | 7.26647i | 0.745524i | ||||||||
\(96\) | −1.72563 | − | 0.148954i | −0.176122 | − | 0.0152025i | ||||
\(97\) | 6.86525 | + | 11.8910i | 0.697061 | + | 1.20735i | 0.969481 | + | 0.245167i | \(0.0788427\pi\) |
−0.272420 | + | 0.962178i | \(0.587824\pi\) | |||||||
\(98\) | −2.21720 | + | 6.63958i | −0.223971 | + | 0.670699i | ||||
\(99\) | −4.66759 | − | 12.7320i | −0.469110 | − | 1.27961i | ||||
\(100\) | 6.73025 | − | 11.6571i | 0.673025 | − | 1.16571i | ||||
\(101\) | −0.0403083 | − | 0.0698161i | −0.00401083 | − | 0.00694696i | 0.864013 | − | 0.503469i | \(-0.167943\pi\) |
−0.868024 | + | 0.496522i | \(0.834610\pi\) | |||||||
\(102\) | −0.332290 | − | 0.0286827i | −0.0329016 | − | 0.00284001i | ||||
\(103\) | −9.05121 | + | 5.22572i | −0.891842 | + | 0.514905i | −0.874545 | − | 0.484945i | \(-0.838840\pi\) |
−0.0172977 | + | 0.999850i | \(0.505506\pi\) | |||||||
\(104\) | −2.01824 | + | 2.98776i | −0.197905 | + | 0.292974i | ||||
\(105\) | −17.1929 | − | 9.59559i | −1.67785 | − | 0.936434i | ||||
\(106\) | −5.59277 | − | 3.22899i | −0.543218 | − | 0.313627i | ||||
\(107\) | − | 5.36397i | − | 0.518555i | −0.965803 | − | 0.259277i | \(-0.916516\pi\) | ||
0.965803 | − | 0.259277i | \(-0.0834844\pi\) | |||||||
\(108\) | −5.02375 | − | 1.32737i | −0.483411 | − | 0.127726i | ||||
\(109\) | 6.11686 | + | 3.53157i | 0.585889 | + | 0.338263i | 0.763470 | − | 0.645843i | \(-0.223494\pi\) |
−0.177581 | + | 0.984106i | \(0.556827\pi\) | |||||||
\(110\) | −16.8194 | − | 9.71067i | −1.60367 | − | 0.925876i | ||||
\(111\) | −0.849333 | + | 9.83954i | −0.0806151 | + | 0.933928i | ||||
\(112\) | 1.54641 | + | 2.14677i | 0.146122 | + | 0.202850i | ||||
\(113\) | −11.0639 | + | 6.38777i | −1.04081 | + | 0.600911i | −0.920062 | − | 0.391773i | \(-0.871862\pi\) |
−0.120746 | + | 0.992683i | \(0.538529\pi\) | |||||||
\(114\) | 1.67738 | − | 2.40148i | 0.157101 | − | 0.224920i | ||||
\(115\) | −3.02822 | − | 5.24504i | −0.282383 | − | 0.489102i | ||||
\(116\) | 8.66432 | + | 5.00235i | 0.804462 | + | 0.464456i | ||||
\(117\) | −7.50112 | + | 7.79315i | −0.693478 | + | 0.720477i | ||||
\(118\) | − | 3.66871i | − | 0.337732i | ||||||
\(119\) | 0.297779 | + | 0.413384i | 0.0272974 | + | 0.0378948i | ||||
\(120\) | −6.74097 | + | 3.15290i | −0.615364 | + | 0.287820i | ||||
\(121\) | −4.71610 | + | 8.16852i | −0.428736 | + | 0.742593i | ||||
\(122\) | −7.02534 | − | 4.05608i | −0.636044 | − | 0.367220i | ||||
\(123\) | 2.03822 | + | 1.42365i | 0.183780 | + | 0.128366i | ||||
\(124\) | 1.16127 | − | 2.01138i | 0.104285 | − | 0.180627i | ||||
\(125\) | − | 36.3512i | − | 3.25135i | ||||||
\(126\) | 3.46701 | + | 7.14002i | 0.308866 | + | 0.636083i | ||||
\(127\) | 0.0510484 | − | 0.0884185i | 0.00452982 | − | 0.00784587i | −0.863752 | − | 0.503918i | \(-0.831891\pi\) |
0.868281 | + | 0.496072i | \(0.165225\pi\) | |||||||
\(128\) | 1.00000 | 0.0883883 | ||||||||
\(129\) | −2.54167 | − | 5.43414i | −0.223782 | − | 0.478449i | ||||
\(130\) | −1.09120 | + | 15.4530i | −0.0957048 | + | 1.35532i | ||||
\(131\) | 0.746067 | + | 1.29223i | 0.0651842 | + | 0.112902i | 0.896776 | − | 0.442485i | \(-0.145903\pi\) |
−0.831591 | + | 0.555388i | \(0.812570\pi\) | |||||||
\(132\) | 3.31701 | + | 7.09183i | 0.288709 | + | 0.617265i | ||||
\(133\) | −4.45192 | + | 0.449615i | −0.386030 | + | 0.0389866i | ||||
\(134\) | −4.38012 | + | 2.52887i | −0.378385 | + | 0.218461i | ||||
\(135\) | −21.5446 | + | 5.85341i | −1.85427 | + | 0.503781i | ||||
\(136\) | 0.192561 | 0.0165120 | ||||||||
\(137\) | −20.1088 | −1.71801 | −0.859005 | − | 0.511967i | \(-0.828917\pi\) | ||||
−0.859005 | + | 0.511967i | \(0.828917\pi\) | |||||||
\(138\) | −0.209966 | + | 2.43246i | −0.0178735 | + | 0.207064i | ||||
\(139\) | −14.3239 | + | 8.26993i | −1.21494 | + | 0.701446i | −0.963831 | − | 0.266513i | \(-0.914129\pi\) |
−0.251109 | + | 0.967959i | \(0.580795\pi\) | |||||||
\(140\) | 10.3660 | + | 4.66584i | 0.876085 | + | 0.394336i | ||||
\(141\) | 15.7663 | − | 7.37425i | 1.32776 | − | 0.621024i | ||||
\(142\) | 5.59208 | + | 9.68576i | 0.469277 | + | 0.812811i | ||||
\(143\) | 16.2573 | + | 1.14800i | 1.35951 | + | 0.0960004i | ||||
\(144\) | 2.95563 | + | 0.514080i | 0.246302 | + | 0.0428400i | ||||
\(145\) | 42.9859 | 3.56978 | ||||||||
\(146\) | −5.90130 | + | 10.2214i | −0.488395 | + | 0.845925i | ||||
\(147\) | 4.81507 | − | 11.1272i | 0.397141 | − | 0.917758i | ||||
\(148\) | − | 5.70199i | − | 0.468700i | ||||||
\(149\) | 2.04689 | − | 3.54532i | 0.167688 | − | 0.290444i | −0.769919 | − | 0.638142i | \(-0.779703\pi\) |
0.937606 | + | 0.347698i | \(0.113037\pi\) | |||||||
\(150\) | −13.3503 | + | 19.1135i | −1.09005 | + | 1.56061i | ||||
\(151\) | 6.54953 | + | 3.78138i | 0.532994 | + | 0.307724i | 0.742235 | − | 0.670140i | \(-0.233766\pi\) |
−0.209241 | + | 0.977864i | \(0.567099\pi\) | |||||||
\(152\) | −0.845613 | + | 1.46464i | −0.0685883 | + | 0.118798i | ||||
\(153\) | 0.569139 | + | 0.0989918i | 0.0460121 | + | 0.00800301i | ||||
\(154\) | 4.90869 | − | 10.9055i | 0.395554 | − | 0.878791i | ||||
\(155\) | − | 9.97895i | − | 0.801528i | ||||||
\(156\) | 3.92779 | − | 4.85515i | 0.314475 | − | 0.388723i | ||||
\(157\) | −4.42840 | − | 2.55674i | −0.353425 | − | 0.204050i | 0.312768 | − | 0.949830i | \(-0.398744\pi\) |
−0.666193 | + | 0.745780i | \(0.732077\pi\) | |||||||
\(158\) | −1.93078 | − | 3.34421i | −0.153605 | − | 0.266051i | ||||
\(159\) | 9.17010 | + | 6.40512i | 0.727237 | + | 0.507959i | ||||
\(160\) | 3.72094 | − | 2.14828i | 0.294166 | − | 0.169837i | ||||
\(161\) | 3.02608 | − | 2.17983i | 0.238489 | − | 0.171794i | ||||
\(162\) | 8.47144 | + | 3.03885i | 0.665580 | + | 0.238755i | ||||
\(163\) | 8.00463 | + | 4.62147i | 0.626971 | + | 0.361982i | 0.779578 | − | 0.626305i | \(-0.215434\pi\) |
−0.152607 | + | 0.988287i | \(0.548767\pi\) | |||||||
\(164\) | −1.24309 | − | 0.717699i | −0.0970691 | − | 0.0560429i | ||||
\(165\) | 27.5777 | + | 19.2624i | 2.14692 | + | 1.49957i | ||||
\(166\) | − | 4.15111i | − | 0.322188i | ||||||
\(167\) | 13.7047 | + | 7.91242i | 1.06050 | + | 0.612281i | 0.925571 | − | 0.378574i | \(-0.123585\pi\) |
0.134931 | + | 0.990855i | \(0.456919\pi\) | |||||||
\(168\) | −2.34878 | − | 3.93488i | −0.181212 | − | 0.303582i | ||||
\(169\) | −4.85339 | − | 12.0600i | −0.373338 | − | 0.927695i | ||||
\(170\) | 0.716508 | − | 0.413676i | 0.0549537 | − | 0.0317275i | ||||
\(171\) | −3.25226 | + | 3.89423i | −0.248707 | + | 0.297799i | ||||
\(172\) | 1.73181 | + | 2.99958i | 0.132049 | + | 0.228716i | ||||
\(173\) | −6.36169 | + | 11.0188i | −0.483670 | + | 0.837741i | −0.999824 | − | 0.0187546i | \(-0.994030\pi\) |
0.516154 | + | 0.856496i | \(0.327363\pi\) | |||||||
\(174\) | −14.2063 | − | 9.92281i | −1.07698 | − | 0.752246i | ||||
\(175\) | 35.4329 | − | 3.57850i | 2.67848 | − | 0.270509i | ||||
\(176\) | −2.26010 | − | 3.91461i | −0.170361 | − | 0.295075i | ||||
\(177\) | −0.546468 | + | 6.33085i | −0.0410751 | + | 0.475856i | ||||
\(178\) | − | 2.16589i | − | 0.162340i | ||||||
\(179\) | 4.77637 | − | 2.75764i | 0.357003 | − | 0.206116i | −0.310762 | − | 0.950488i | \(-0.600584\pi\) |
0.667765 | + | 0.744372i | \(0.267251\pi\) | |||||||
\(180\) | 12.1021 | − | 4.43667i | 0.902036 | − | 0.330690i | ||||
\(181\) | − | 3.95607i | − | 0.294053i | −0.989133 | − | 0.147026i | \(-0.953030\pi\) | ||
0.989133 | − | 0.147026i | \(-0.0469702\pi\) | |||||||
\(182\) | −9.53506 | + | 0.287618i | −0.706785 | + | 0.0213197i | ||||
\(183\) | 11.5190 | + | 8.04576i | 0.851509 | + | 0.594760i | ||||
\(184\) | − | 1.40960i | − | 0.103917i | ||||||
\(185\) | −12.2495 | − | 21.2167i | −0.900600 | − | 1.55989i | ||||
\(186\) | −2.30353 | + | 3.29793i | −0.168903 | + | 0.241816i | ||||
\(187\) | −0.435207 | − | 0.753801i | −0.0318255 | − | 0.0551234i | ||||
\(188\) | −8.70281 | + | 5.02457i | −0.634718 | + | 0.366454i | ||||
\(189\) | −4.91926 | − | 12.8375i | −0.357824 | − | 0.933789i | ||||
\(190\) | 7.26647i | 0.527165i | ||||||||
\(191\) | 6.23661 | + | 3.60071i | 0.451266 | + | 0.260538i | 0.708365 | − | 0.705847i | \(-0.249433\pi\) |
−0.257099 | + | 0.966385i | \(0.582767\pi\) | |||||||
\(192\) | −1.72563 | − | 0.148954i | −0.124537 | − | 0.0107498i | ||||
\(193\) | −17.8125 | + | 10.2840i | −1.28217 | + | 0.740262i | −0.977245 | − | 0.212114i | \(-0.931965\pi\) |
−0.304926 | + | 0.952376i | \(0.598632\pi\) | |||||||
\(194\) | 6.86525 | + | 11.8910i | 0.492897 | + | 0.853722i | ||||
\(195\) | 4.18480 | − | 26.5037i | 0.299680 | − | 1.89797i | ||||
\(196\) | −2.21720 | + | 6.63958i | −0.158372 | + | 0.474256i | ||||
\(197\) | 12.5549 | − | 21.7458i | 0.894501 | − | 1.54932i | 0.0600807 | − | 0.998194i | \(-0.480864\pi\) |
0.834421 | − | 0.551128i | \(-0.185802\pi\) | |||||||
\(198\) | −4.66759 | − | 12.7320i | −0.331711 | − | 0.904823i | ||||
\(199\) | − | 7.42309i | − | 0.526209i | −0.964767 | − | 0.263104i | \(-0.915254\pi\) | ||
0.964767 | − | 0.263104i | \(-0.0847463\pi\) | |||||||
\(200\) | 6.73025 | − | 11.6571i | 0.475901 | − | 0.824284i | ||||
\(201\) | 7.93518 | − | 3.71146i | 0.559704 | − | 0.261786i | ||||
\(202\) | −0.0403083 | − | 0.0698161i | −0.00283608 | − | 0.00491224i | ||||
\(203\) | 2.65976 | + | 26.3360i | 0.186679 | + | 1.84842i | ||||
\(204\) | −0.332290 | − | 0.0286827i | −0.0232650 | − | 0.00200819i | ||||
\(205\) | −6.16728 | −0.430742 | ||||||||
\(206\) | −9.05121 | + | 5.22572i | −0.630628 | + | 0.364093i | ||||
\(207\) | 0.724647 | − | 4.16625i | 0.0503665 | − | 0.289575i | ||||
\(208\) | −2.01824 | + | 2.98776i | −0.139940 | + | 0.207164i | ||||
\(209\) | 7.64468 | 0.528794 | ||||||||
\(210\) | −17.1929 | − | 9.59559i | −1.18642 | − | 0.662159i | ||||
\(211\) | 2.60466 | − | 4.51140i | 0.179312 | − | 0.310577i | −0.762333 | − | 0.647185i | \(-0.775946\pi\) |
0.941645 | + | 0.336607i | \(0.109280\pi\) | |||||||
\(212\) | −5.59277 | − | 3.22899i | −0.384113 | − | 0.221768i | ||||
\(213\) | −8.20715 | − | 17.5470i | −0.562345 | − | 1.20230i | ||||
\(214\) | − | 5.36397i | − | 0.366674i | ||||||
\(215\) | 12.8879 | + | 7.44084i | 0.878948 | + | 0.507461i | ||||
\(216\) | −5.02375 | − | 1.32737i | −0.341823 | − | 0.0903158i | ||||
\(217\) | 6.11376 | − | 0.617450i | 0.415029 | − | 0.0419153i | ||||
\(218\) | 6.11686 | + | 3.53157i | 0.414286 | + | 0.239188i | ||||
\(219\) | 11.7060 | − | 16.7593i | 0.791018 | − | 1.13249i | ||||
\(220\) | −16.8194 | − | 9.71067i | −1.13396 | − | 0.654694i | ||||
\(221\) | −0.388635 | + | 0.575326i | −0.0261424 | + | 0.0387006i | ||||
\(222\) | −0.849333 | + | 9.83954i | −0.0570035 | + | 0.660387i | ||||
\(223\) | −3.67083 | + | 6.35806i | −0.245817 | + | 0.425767i | −0.962361 | − | 0.271775i | \(-0.912389\pi\) |
0.716544 | + | 0.697542i | \(0.245723\pi\) | |||||||
\(224\) | 1.54641 | + | 2.14677i | 0.103324 | + | 0.143437i | ||||
\(225\) | 25.8848 | − | 30.9943i | 1.72565 | − | 2.06628i | ||||
\(226\) | −11.0639 | + | 6.38777i | −0.735963 | + | 0.424908i | ||||
\(227\) | 21.5999i | 1.43363i | 0.697262 | + | 0.716816i | \(0.254401\pi\) | ||||
−0.697262 | + | 0.716816i | \(0.745599\pi\) | |||||||
\(228\) | 1.67738 | − | 2.40148i | 0.111087 | − | 0.159042i | ||||
\(229\) | −5.53269 | − | 9.58290i | −0.365610 | − | 0.633256i | 0.623263 | − | 0.782012i | \(-0.285806\pi\) |
−0.988874 | + | 0.148756i | \(0.952473\pi\) | |||||||
\(230\) | −3.02822 | − | 5.24504i | −0.199675 | − | 0.345848i | ||||
\(231\) | −10.0950 | + | 18.0877i | −0.664204 | + | 1.19009i | ||||
\(232\) | 8.66432 | + | 5.00235i | 0.568841 | + | 0.328420i | ||||
\(233\) | 5.93673 | − | 3.42758i | 0.388928 | − | 0.224548i | −0.292767 | − | 0.956184i | \(-0.594576\pi\) |
0.681696 | + | 0.731636i | \(0.261243\pi\) | |||||||
\(234\) | −7.50112 | + | 7.79315i | −0.490363 | + | 0.509454i | ||||
\(235\) | −21.5884 | + | 37.3922i | −1.40827 | + | 2.43920i | ||||
\(236\) | − | 3.66871i | − | 0.238813i | ||||||
\(237\) | 2.83369 | + | 6.05848i | 0.184068 | + | 0.393540i | ||||
\(238\) | 0.297779 | + | 0.413384i | 0.0193022 | + | 0.0267957i | ||||
\(239\) | −7.06260 | −0.456841 | −0.228421 | − | 0.973563i | \(-0.573356\pi\) | ||||
−0.228421 | + | 0.973563i | \(0.573356\pi\) | |||||||
\(240\) | −6.74097 | + | 3.15290i | −0.435128 | + | 0.203519i | ||||
\(241\) | −19.7363 | −1.27133 | −0.635664 | − | 0.771966i | \(-0.719274\pi\) | ||||
−0.635664 | + | 0.771966i | \(0.719274\pi\) | |||||||
\(242\) | −4.71610 | + | 8.16852i | −0.303162 | + | 0.525093i | ||||
\(243\) | −14.1660 | − | 6.50581i | −0.908747 | − | 0.417348i | ||||
\(244\) | −7.02534 | − | 4.05608i | −0.449751 | − | 0.259664i | ||||
\(245\) | 6.01363 | + | 29.4686i | 0.384196 | + | 1.88268i | ||||
\(246\) | 2.03822 | + | 1.42365i | 0.129952 | + | 0.0907685i | ||||
\(247\) | −2.66935 | − | 5.48250i | −0.169847 | − | 0.348843i | ||||
\(248\) | 1.16127 | − | 2.01138i | 0.0737407 | − | 0.127723i | ||||
\(249\) | −0.618323 | + | 7.16329i | −0.0391847 | + | 0.453955i | ||||
\(250\) | − | 36.3512i | − | 2.29905i | ||||||
\(251\) | −2.00148 | − | 3.46666i | −0.126332 | − | 0.218814i | 0.795921 | − | 0.605401i | \(-0.206987\pi\) |
−0.922253 | + | 0.386587i | \(0.873654\pi\) | |||||||
\(252\) | 3.46701 | + | 7.14002i | 0.218401 | + | 0.449779i | ||||
\(253\) | −5.51803 | + | 3.18584i | −0.346916 | + | 0.200292i | ||||
\(254\) | 0.0510484 | − | 0.0884185i | 0.00320306 | − | 0.00554787i | ||||
\(255\) | −1.29805 | + | 0.607127i | −0.0812870 | + | 0.0380198i | ||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | 8.95503 | 0.558599 | 0.279300 | − | 0.960204i | \(-0.409898\pi\) | ||||
0.279300 | + | 0.960204i | \(0.409898\pi\) | |||||||
\(258\) | −2.54167 | − | 5.43414i | −0.158237 | − | 0.338315i | ||||
\(259\) | 12.2408 | − | 8.81763i | 0.760608 | − | 0.547901i | ||||
\(260\) | −1.09120 | + | 15.4530i | −0.0676735 | + | 0.958356i | ||||
\(261\) | 23.0369 | + | 19.2392i | 1.42595 | + | 1.19088i | ||||
\(262\) | 0.746067 | + | 1.29223i | 0.0460922 | + | 0.0798340i | ||||
\(263\) | 15.5696 | − | 8.98910i | 0.960061 | − | 0.554291i | 0.0638691 | − | 0.997958i | \(-0.479656\pi\) |
0.896192 | + | 0.443667i | \(0.146323\pi\) | |||||||
\(264\) | 3.31701 | + | 7.09183i | 0.204148 | + | 0.436472i | ||||
\(265\) | −27.7471 | −1.70449 | ||||||||
\(266\) | −4.45192 | + | 0.449615i | −0.272965 | + | 0.0275677i | ||||
\(267\) | −0.322618 | + | 3.73754i | −0.0197439 | + | 0.228734i | ||||
\(268\) | −4.38012 | + | 2.52887i | −0.267559 | + | 0.154475i | ||||
\(269\) | −2.85518 | −0.174083 | −0.0870417 | − | 0.996205i | \(-0.527741\pi\) | ||||
−0.0870417 | + | 0.996205i | \(0.527741\pi\) | |||||||
\(270\) | −21.5446 | + | 5.85341i | −1.31116 | + | 0.356227i | ||||
\(271\) | −4.47256 | −0.271689 | −0.135844 | − | 0.990730i | \(-0.543375\pi\) | ||||
−0.135844 | + | 0.990730i | \(0.543375\pi\) | |||||||
\(272\) | 0.192561 | 0.0116757 | ||||||||
\(273\) | 16.4969 | + | 0.923960i | 0.998435 | + | 0.0559206i | ||||
\(274\) | −20.1088 | −1.21482 | ||||||||
\(275\) | −60.8442 | −3.66904 | ||||||||
\(276\) | −0.209966 | + | 2.43246i | −0.0126384 | + | 0.146417i | ||||
\(277\) | 14.8067 | 0.889651 | 0.444826 | − | 0.895617i | \(-0.353266\pi\) | ||||
0.444826 | + | 0.895617i | \(0.353266\pi\) | |||||||
\(278\) | −14.3239 | + | 8.26993i | −0.859093 | + | 0.495997i | ||||
\(279\) | 4.46628 | − | 5.34789i | 0.267389 | − | 0.320170i | ||||
\(280\) | 10.3660 | + | 4.66584i | 0.619486 | + | 0.278837i | ||||
\(281\) | 3.78960 | 0.226069 | 0.113034 | − | 0.993591i | \(-0.463943\pi\) | ||||
0.113034 | + | 0.993591i | \(0.463943\pi\) | |||||||
\(282\) | 15.7663 | − | 7.37425i | 0.938869 | − | 0.439130i | ||||
\(283\) | 23.9803 | − | 13.8450i | 1.42548 | − | 0.823002i | 0.428722 | − | 0.903437i | \(-0.358964\pi\) |
0.996760 | + | 0.0804346i | \(0.0256308\pi\) | |||||||
\(284\) | 5.59208 | + | 9.68576i | 0.331829 | + | 0.574744i | ||||
\(285\) | 1.08237 | − | 12.5393i | 0.0641140 | − | 0.742762i | ||||
\(286\) | 16.2573 | + | 1.14800i | 0.961316 | + | 0.0678826i | ||||
\(287\) | −0.381603 | − | 3.77848i | −0.0225253 | − | 0.223037i | ||||
\(288\) | 2.95563 | + | 0.514080i | 0.174162 | + | 0.0302924i | ||||
\(289\) | −16.9629 | −0.997819 | ||||||||
\(290\) | 42.9859 | 2.52422 | ||||||||
\(291\) | −10.0757 | − | 21.5421i | −0.590649 | − | 1.26282i | ||||
\(292\) | −5.90130 | + | 10.2214i | −0.345348 | + | 0.598160i | ||||
\(293\) | 17.6685 | − | 10.2009i | 1.03221 | − | 0.595944i | 0.114590 | − | 0.993413i | \(-0.463445\pi\) |
0.917616 | + | 0.397469i | \(0.130111\pi\) | |||||||
\(294\) | 4.81507 | − | 11.1272i | 0.280821 | − | 0.648953i | ||||
\(295\) | −7.88143 | − | 13.6510i | −0.458875 | − | 0.794794i | ||||
\(296\) | − | 5.70199i | − | 0.331421i | ||||||
\(297\) | 6.15807 | + | 22.6660i | 0.357327 | + | 1.31521i | ||||
\(298\) | 2.04689 | − | 3.54532i | 0.118573 | − | 0.205375i | ||||
\(299\) | 4.21155 | + | 2.84492i | 0.243560 | + | 0.164526i | ||||
\(300\) | −13.3503 | + | 19.1135i | −0.770782 | + | 1.10352i | ||||
\(301\) | −3.76130 | + | 8.35639i | −0.216798 | + | 0.481654i | ||||
\(302\) | 6.54953 | + | 3.78138i | 0.376883 | + | 0.217594i | ||||
\(303\) | 0.0591581 | + | 0.126481i | 0.00339854 | + | 0.00726615i | ||||
\(304\) | −0.845613 | + | 1.46464i | −0.0484992 | + | 0.0840031i | ||||
\(305\) | −34.8545 | −1.99576 | ||||||||
\(306\) | 0.569139 | + | 0.0989918i | 0.0325355 | + | 0.00565899i | ||||
\(307\) | 25.5018 | 1.45546 | 0.727731 | − | 0.685862i | \(-0.240575\pi\) | ||||
0.727731 | + | 0.685862i | \(0.240575\pi\) | |||||||
\(308\) | 4.90869 | − | 10.9055i | 0.279699 | − | 0.621399i | ||||
\(309\) | 16.3975 | − | 7.66947i | 0.932819 | − | 0.436301i | ||||
\(310\) | − | 9.97895i | − | 0.566766i | ||||||
\(311\) | 8.67002 | − | 15.0169i | 0.491632 | − | 0.851531i | −0.508322 | − | 0.861167i | \(-0.669734\pi\) |
0.999954 | + | 0.00963600i | \(0.00306728\pi\) | |||||||
\(312\) | 3.92779 | − | 4.85515i | 0.222367 | − | 0.274869i | ||||
\(313\) | −7.84351 | + | 4.52845i | −0.443341 | + | 0.255963i | −0.705014 | − | 0.709194i | \(-0.749059\pi\) |
0.261673 | + | 0.965157i | \(0.415726\pi\) | |||||||
\(314\) | −4.42840 | − | 2.55674i | −0.249909 | − | 0.144285i | ||||
\(315\) | 28.2393 | + | 19.1194i | 1.59111 | + | 1.07726i | ||||
\(316\) | −1.93078 | − | 3.34421i | −0.108615 | − | 0.188126i | ||||
\(317\) | 4.97176 | + | 8.61134i | 0.279242 | + | 0.483661i | 0.971197 | − | 0.238280i | \(-0.0765836\pi\) |
−0.691955 | + | 0.721941i | \(0.743250\pi\) | |||||||
\(318\) | 9.17010 | + | 6.40512i | 0.514234 | + | 0.359181i | ||||
\(319\) | − | 45.2232i | − | 2.53201i | ||||||
\(320\) | 3.72094 | − | 2.14828i | 0.208007 | − | 0.120093i | ||||
\(321\) | −0.798984 | + | 9.25625i | −0.0445950 | + | 0.516634i | ||||
\(322\) | 3.02608 | − | 2.17983i | 0.168637 | − | 0.121477i | ||||
\(323\) | −0.162832 | + | 0.282034i | −0.00906023 | + | 0.0156928i | ||||
\(324\) | 8.47144 | + | 3.03885i | 0.470636 | + | 0.168825i | ||||
\(325\) | 21.2454 | + | 43.6353i | 1.17848 | + | 2.42045i | ||||
\(326\) | 8.00463 | + | 4.62147i | 0.443335 | + | 0.255960i | ||||
\(327\) | −10.0294 | − | 7.00533i | −0.554628 | − | 0.387396i | ||||
\(328\) | −1.24309 | − | 0.717699i | −0.0686382 | − | 0.0396283i | ||||
\(329\) | −24.2447 | − | 10.9128i | −1.33665 | − | 0.601643i | ||||
\(330\) | 27.5777 | + | 19.2624i | 1.51810 | + | 1.06036i | ||||
\(331\) | −23.9748 | − | 13.8419i | −1.31777 | − | 0.760817i | −0.334404 | − | 0.942430i | \(-0.608535\pi\) |
−0.983370 | + | 0.181613i | \(0.941868\pi\) | |||||||
\(332\) | − | 4.15111i | − | 0.227822i | ||||||
\(333\) | 2.93128 | − | 16.8529i | 0.160633 | − | 0.923535i | ||||
\(334\) | 13.7047 | + | 7.91242i | 0.749888 | + | 0.432948i | ||||
\(335\) | −10.8654 | + | 18.8195i | −0.593643 | + | 1.02822i | ||||
\(336\) | −2.34878 | − | 3.93488i | −0.128136 | − | 0.214665i | ||||
\(337\) | −9.67002 | −0.526760 | −0.263380 | − | 0.964692i | \(-0.584837\pi\) | ||||
−0.263380 | + | 0.964692i | \(0.584837\pi\) | |||||||
\(338\) | −4.85339 | − | 12.0600i | −0.263990 | − | 0.655980i | ||||
\(339\) | 20.0438 | − | 9.37494i | 1.08863 | − | 0.509177i | ||||
\(340\) | 0.716508 | − | 0.413676i | 0.0388581 | − | 0.0224347i | ||||
\(341\) | −10.4983 | −0.568517 | ||||||||
\(342\) | −3.25226 | + | 3.89423i | −0.175862 | + | 0.210576i | ||||
\(343\) | −17.6823 | + | 5.50772i | −0.954756 | + | 0.297389i | ||||
\(344\) | 1.73181 | + | 2.99958i | 0.0933729 | + | 0.161727i | ||||
\(345\) | 4.44434 | + | 9.50208i | 0.239275 | + | 0.511575i | ||||
\(346\) | −6.36169 | + | 11.0188i | −0.342006 | + | 0.592372i | ||||
\(347\) | − | 21.2360i | − | 1.14001i | −0.821641 | − | 0.570005i | \(-0.806941\pi\) | ||
0.821641 | − | 0.570005i | \(-0.193059\pi\) | |||||||
\(348\) | −14.2063 | − | 9.92281i | −0.761539 | − | 0.531918i | ||||
\(349\) | 3.87087 | − | 6.70454i | 0.207203 | − | 0.358886i | −0.743630 | − | 0.668592i | \(-0.766897\pi\) |
0.950832 | + | 0.309706i | \(0.100231\pi\) | |||||||
\(350\) | 35.4329 | − | 3.57850i | 1.89397 | − | 0.191279i | ||||
\(351\) | 14.1050 | − | 12.3308i | 0.752869 | − | 0.658170i | ||||
\(352\) | −2.26010 | − | 3.91461i | −0.120464 | − | 0.208649i | ||||
\(353\) | 4.13071 | − | 2.38487i | 0.219855 | − | 0.126934i | −0.386028 | − | 0.922487i | \(-0.626153\pi\) |
0.605883 | + | 0.795554i | \(0.292820\pi\) | |||||||
\(354\) | −0.546468 | + | 6.33085i | −0.0290445 | + | 0.336481i | ||||
\(355\) | 41.6156 | + | 24.0268i | 2.20872 | + | 1.27521i | ||||
\(356\) | − | 2.16589i | − | 0.114792i | ||||||
\(357\) | −0.452283 | − | 0.757704i | −0.0239374 | − | 0.0401020i | ||||
\(358\) | 4.77637 | − | 2.75764i | 0.252439 | − | 0.145746i | ||||
\(359\) | −14.0272 | − | 24.2958i | −0.740328 | − | 1.28229i | −0.952346 | − | 0.305020i | \(-0.901337\pi\) |
0.212018 | − | 0.977266i | \(-0.431996\pi\) | |||||||
\(360\) | 12.1021 | − | 4.43667i | 0.637836 | − | 0.233833i | ||||
\(361\) | 8.06988 | + | 13.9774i | 0.424730 | + | 0.735655i | ||||
\(362\) | − | 3.95607i | − | 0.207927i | ||||||
\(363\) | 9.35499 | − | 13.3934i | 0.491010 | − | 0.702971i | ||||
\(364\) | −9.53506 | + | 0.287618i | −0.499773 | + | 0.0150753i | ||||
\(365\) | 50.7107i | 2.65432i | ||||||||
\(366\) | 11.5190 | + | 8.04576i | 0.602108 | + | 0.420559i | ||||
\(367\) | 9.24291 | − | 5.33639i | 0.482476 | − | 0.278558i | −0.238972 | − | 0.971026i | \(-0.576810\pi\) |
0.721448 | + | 0.692469i | \(0.243477\pi\) | |||||||
\(368\) | − | 1.40960i | − | 0.0734805i | ||||||
\(369\) | −3.30516 | − | 2.76030i | −0.172060 | − | 0.143695i | ||||
\(370\) | −12.2495 | − | 21.2167i | −0.636821 | − | 1.10301i | ||||
\(371\) | −1.71686 | − | 16.9997i | −0.0891351 | − | 0.882582i | ||||
\(372\) | −2.30353 | + | 3.29793i | −0.119432 | + | 0.170989i | ||||
\(373\) | 11.4478 | − | 19.8282i | 0.592746 | − | 1.02667i | −0.401115 | − | 0.916028i | \(-0.631377\pi\) |
0.993861 | − | 0.110638i | \(-0.0352895\pi\) | |||||||
\(374\) | −0.435207 | − | 0.753801i | −0.0225040 | − | 0.0389781i | ||||
\(375\) | −5.41465 | + | 62.7288i | −0.279611 | + | 3.23930i | ||||
\(376\) | −8.70281 | + | 5.02457i | −0.448813 | + | 0.259122i | ||||
\(377\) | −32.4325 | + | 15.7909i | −1.67036 | + | 0.813275i | ||||
\(378\) | −4.91926 | − | 12.8375i | −0.253020 | − | 0.660289i | ||||
\(379\) | 2.11006 | + | 1.21824i | 0.108387 | + | 0.0625770i | 0.553213 | − | 0.833040i | \(-0.313401\pi\) |
−0.444827 | + | 0.895617i | \(0.646735\pi\) | |||||||
\(380\) | 7.26647i | 0.372762i | ||||||||
\(381\) | −0.101261 | + | 0.144974i | −0.00518777 | + | 0.00742725i | ||||
\(382\) | 6.23661 | + | 3.60071i | 0.319093 | + | 0.184228i | ||||
\(383\) | 12.3614 | + | 7.13684i | 0.631637 | + | 0.364676i | 0.781386 | − | 0.624048i | \(-0.214513\pi\) |
−0.149749 | + | 0.988724i | \(0.547847\pi\) | |||||||
\(384\) | −1.72563 | − | 0.148954i | −0.0880609 | − | 0.00760127i | ||||
\(385\) | −5.16319 | − | 51.1240i | −0.263141 | − | 2.60552i | ||||
\(386\) | −17.8125 | + | 10.2840i | −0.906632 | + | 0.523444i | ||||
\(387\) | 3.57656 | + | 9.75593i | 0.181807 | + | 0.495922i | ||||
\(388\) | 6.86525 | + | 11.8910i | 0.348531 | + | 0.603673i | ||||
\(389\) | −7.37813 | − | 4.25977i | −0.374086 | − | 0.215979i | 0.301156 | − | 0.953575i | \(-0.402628\pi\) |
−0.675242 | + | 0.737596i | \(0.735961\pi\) | |||||||
\(390\) | 4.18480 | − | 26.5037i | 0.211906 | − | 1.34207i | ||||
\(391\) | − | 0.271434i | − | 0.0137270i | ||||||
\(392\) | −2.21720 | + | 6.63958i | −0.111986 | + | 0.335349i | ||||
\(393\) | −1.09496 | − | 2.34104i | −0.0552333 | − | 0.118090i | ||||
\(394\) | 12.5549 | − | 21.7458i | 0.632508 | − | 1.09554i | ||||
\(395\) | −14.3686 | − | 8.29573i | −0.722964 | − | 0.417403i | ||||
\(396\) | −4.66759 | − | 12.7320i | −0.234555 | − | 0.639806i | ||||
\(397\) | −6.69762 | + | 11.6006i | −0.336144 | + | 0.582218i | −0.983704 | − | 0.179796i | \(-0.942456\pi\) |
0.647560 | + | 0.762015i | \(0.275790\pi\) | |||||||
\(398\) | − | 7.42309i | − | 0.372086i | ||||||
\(399\) | 7.74935 | − | 0.112741i | 0.387953 | − | 0.00564409i | ||||
\(400\) | 6.73025 | − | 11.6571i | 0.336513 | − | 0.582857i | ||||
\(401\) | 14.8495 | 0.741550 | 0.370775 | − | 0.928723i | \(-0.379092\pi\) | ||||
0.370775 | + | 0.928723i | \(0.379092\pi\) | |||||||
\(402\) | 7.93518 | − | 3.71146i | 0.395771 | − | 0.185111i | ||||
\(403\) | 3.66578 | + | 7.52904i | 0.182606 | + | 0.375048i | ||||
\(404\) | −0.0403083 | − | 0.0698161i | −0.00200541 | − | 0.00347348i | ||||
\(405\) | 38.0500 | − | 6.89168i | 1.89072 | − | 0.342451i | ||||
\(406\) | 2.65976 | + | 26.3360i | 0.132002 | + | 1.30703i | ||||
\(407\) | −22.3210 | + | 12.8871i | −1.10641 | + | 0.638788i | ||||
\(408\) | −0.332290 | − | 0.0286827i | −0.0164508 | − | 0.00142001i | ||||
\(409\) | 18.4860 | 0.914074 | 0.457037 | − | 0.889448i | \(-0.348911\pi\) | ||||
0.457037 | + | 0.889448i | \(0.348911\pi\) | |||||||
\(410\) | −6.16728 | −0.304580 | ||||||||
\(411\) | 34.7004 | + | 2.99528i | 1.71165 | + | 0.147746i | ||||
\(412\) | −9.05121 | + | 5.22572i | −0.445921 | + | 0.257453i | ||||
\(413\) | 7.87586 | − | 5.67334i | 0.387546 | − | 0.279167i | ||||
\(414\) | 0.724647 | − | 4.16625i | 0.0356145 | − | 0.204760i | ||||
\(415\) | −8.91776 | − | 15.4460i | −0.437756 | − | 0.758215i | ||||
\(416\) | −2.01824 | + | 2.98776i | −0.0989525 | + | 0.146487i | ||||
\(417\) | 25.9497 | − | 12.1373i | 1.27076 | − | 0.594364i | ||||
\(418\) | 7.64468 | 0.373913 | ||||||||
\(419\) | 11.7502 | − | 20.3519i | 0.574035 | − | 0.994257i | −0.422111 | − | 0.906544i | \(-0.638711\pi\) |
0.996146 | − | 0.0877131i | \(-0.0279559\pi\) | |||||||
\(420\) | −17.1929 | − | 9.59559i | −0.838927 | − | 0.468217i | ||||
\(421\) | 7.74237i | 0.377340i | 0.982041 | + | 0.188670i | \(0.0604176\pi\) | ||||
−0.982041 | + | 0.188670i | \(0.939582\pi\) | |||||||
\(422\) | 2.60466 | − | 4.51140i | 0.126793 | − | 0.219611i | ||||
\(423\) | −28.3053 | + | 10.3768i | −1.37625 | + | 0.504538i | ||||
\(424\) | −5.59277 | − | 3.22899i | −0.271609 | − | 0.156814i | ||||
\(425\) | 1.29599 | − | 2.24471i | 0.0628645 | − | 0.108885i | ||||
\(426\) | −8.20715 | − | 17.5470i | −0.397638 | − | 0.850157i | ||||
\(427\) | −2.15663 | − | 21.3541i | −0.104367 | − | 1.03340i | ||||
\(428\) | − | 5.36397i | − | 0.259277i | ||||||
\(429\) | −27.8832 | − | 4.40262i | −1.34621 | − | 0.212560i | ||||
\(430\) | 12.8879 | + | 7.44084i | 0.621510 | + | 0.358829i | ||||
\(431\) | −9.13932 | − | 15.8298i | −0.440225 | − | 0.762493i | 0.557480 | − | 0.830190i | \(-0.311768\pi\) |
−0.997706 | + | 0.0676972i | \(0.978435\pi\) | |||||||
\(432\) | −5.02375 | − | 1.32737i | −0.241705 | − | 0.0638629i | ||||
\(433\) | 28.5068 | − | 16.4584i | 1.36995 | − | 0.790940i | 0.379028 | − | 0.925385i | \(-0.376259\pi\) |
0.990921 | + | 0.134445i | \(0.0429252\pi\) | |||||||
\(434\) | 6.11376 | − | 0.617450i | 0.293470 | − | 0.0296386i | ||||
\(435\) | −74.1779 | − | 6.40291i | −3.55656 | − | 0.306996i | ||||
\(436\) | 6.11686 | + | 3.53157i | 0.292945 | + | 0.169132i | ||||
\(437\) | 2.06456 | + | 1.19198i | 0.0987615 | + | 0.0570200i | ||||
\(438\) | 11.7060 | − | 16.7593i | 0.559334 | − | 0.800790i | ||||
\(439\) | − | 8.65914i | − | 0.413278i | −0.978417 | − | 0.206639i | \(-0.933747\pi\) | ||
0.978417 | − | 0.206639i | \(-0.0662526\pi\) | |||||||
\(440\) | −16.8194 | − | 9.71067i | −0.801833 | − | 0.462938i | ||||
\(441\) | −9.96650 | + | 18.4843i | −0.474595 | + | 0.880204i | ||||
\(442\) | −0.388635 | + | 0.575326i | −0.0184855 | + | 0.0273655i | ||||
\(443\) | −11.7488 | + | 6.78318i | −0.558203 | + | 0.322279i | −0.752424 | − | 0.658679i | \(-0.771115\pi\) |
0.194221 | + | 0.980958i | \(0.437782\pi\) | |||||||
\(444\) | −0.849333 | + | 9.83954i | −0.0403076 | + | 0.466964i | ||||
\(445\) | −4.65295 | − | 8.05915i | −0.220571 | − | 0.382040i | ||||
\(446\) | −3.67083 | + | 6.35806i | −0.173819 | + | 0.301063i | ||||
\(447\) | −4.06027 | + | 5.81303i | −0.192044 | + | 0.274947i | ||||
\(448\) | 1.54641 | + | 2.14677i | 0.0730612 | + | 0.101425i | ||||
\(449\) | 1.47204 | + | 2.54965i | 0.0694699 | + | 0.120325i | 0.898668 | − | 0.438629i | \(-0.144536\pi\) |
−0.829198 | + | 0.558955i | \(0.811203\pi\) | |||||||
\(450\) | 25.8848 | − | 30.9943i | 1.22022 | − | 1.46108i | ||||
\(451\) | 6.48828i | 0.305521i | ||||||||
\(452\) | −11.0639 | + | 6.38777i | −0.520404 | + | 0.300455i | ||||
\(453\) | −10.7388 | − | 7.50085i | −0.504555 | − | 0.352421i | ||||
\(454\) | 21.5999i | 1.01373i | ||||||||
\(455\) | −34.8615 | + | 21.5542i | −1.63433 | + | 1.01048i | ||||
\(456\) | 1.67738 | − | 2.40148i | 0.0785507 | − | 0.112460i | ||||
\(457\) | 16.7645i | 0.784212i | 0.919920 | + | 0.392106i | \(0.128253\pi\) | ||||
−0.919920 | + | 0.392106i | \(0.871747\pi\) | |||||||
\(458\) | −5.53269 | − | 9.58290i | −0.258526 | − | 0.447780i | ||||
\(459\) | −0.967380 | − | 0.255599i | −0.0451534 | − | 0.0119303i | ||||
\(460\) | −3.02822 | − | 5.24504i | −0.141192 | − | 0.244551i | ||||
\(461\) | −9.22401 | + | 5.32548i | −0.429605 | + | 0.248032i | −0.699178 | − | 0.714947i | \(-0.746451\pi\) |
0.269573 | + | 0.962980i | \(0.413117\pi\) | |||||||
\(462\) | −10.0950 | + | 18.0877i | −0.469663 | + | 0.841518i | ||||
\(463\) | 22.5835i | 1.04954i | 0.851243 | + | 0.524772i | \(0.175849\pi\) | ||||
−0.851243 | + | 0.524772i | \(0.824151\pi\) | |||||||
\(464\) | 8.66432 | + | 5.00235i | 0.402231 | + | 0.232228i | ||||
\(465\) | −1.48640 | + | 17.2200i | −0.0689303 | + | 0.798559i | ||||
\(466\) | 5.93673 | − | 3.42758i | 0.275014 | − | 0.158779i | ||||
\(467\) | 14.0602 | + | 24.3530i | 0.650629 | + | 1.12692i | 0.982971 | + | 0.183763i | \(0.0588279\pi\) |
−0.332342 | + | 0.943159i | \(0.607839\pi\) | |||||||
\(468\) | −7.50112 | + | 7.79315i | −0.346739 | + | 0.360239i | ||||
\(469\) | −12.2024 | − | 5.49243i | −0.563453 | − | 0.253617i | ||||
\(470\) | −21.5884 | + | 37.3922i | −0.995799 | + | 1.72477i | ||||
\(471\) | 7.26096 | + | 5.07162i | 0.334568 | + | 0.233688i | ||||
\(472\) | − | 3.66871i | − | 0.168866i | ||||||
\(473\) | 7.82812 | − | 13.5587i | 0.359938 | − | 0.623430i | ||||
\(474\) | 2.83369 | + | 6.05848i | 0.130155 | + | 0.278275i | ||||
\(475\) | 11.3824 | + | 19.7149i | 0.522260 | + | 0.904580i | ||||
\(476\) | 0.297779 | + | 0.413384i | 0.0136487 | + | 0.0189474i | ||||
\(477\) | −14.8702 | − | 12.4188i | −0.680859 | − | 0.568618i | ||||
\(478\) | −7.06260 | −0.323036 | ||||||||
\(479\) | 17.1627 | − | 9.90890i | 0.784184 | − | 0.452749i | −0.0537268 | − | 0.998556i | \(-0.517110\pi\) |
0.837911 | + | 0.545807i | \(0.183777\pi\) | |||||||
\(480\) | −6.74097 | + | 3.15290i | −0.307682 | + | 0.143910i | ||||
\(481\) | 17.0362 | + | 11.5080i | 0.776782 | + | 0.524719i | ||||
\(482\) | −19.7363 | −0.898965 | ||||||||
\(483\) | −5.54660 | + | 3.31084i | −0.252379 | + | 0.150648i | ||||
\(484\) | −4.71610 | + | 8.16852i | −0.214368 | + | 0.371297i | ||||
\(485\) | 51.0904 | + | 29.4970i | 2.31989 | + | 1.33939i | ||||
\(486\) | −14.1660 | − | 6.50581i | −0.642581 | − | 0.295109i | ||||
\(487\) | 25.5536i | 1.15794i | 0.815348 | + | 0.578972i | \(0.196546\pi\) | ||||
−0.815348 | + | 0.578972i | \(0.803454\pi\) | |||||||
\(488\) | −7.02534 | − | 4.05608i | −0.318022 | − | 0.183610i | ||||
\(489\) | −13.1247 | − | 9.16729i | −0.593518 | − | 0.414559i | ||||
\(490\) | 6.01363 | + | 29.4686i | 0.271668 | + | 1.33126i | ||||
\(491\) | −4.29900 | − | 2.48203i | −0.194011 | − | 0.112012i | 0.399848 | − | 0.916582i | \(-0.369063\pi\) |
−0.593859 | + | 0.804569i | \(0.702396\pi\) | |||||||
\(492\) | 2.03822 | + | 1.42365i | 0.0918899 | + | 0.0641830i | ||||
\(493\) | 1.66841 | + | 0.963258i | 0.0751415 | + | 0.0433830i | ||||
\(494\) | −2.66935 | − | 5.48250i | −0.120100 | − | 0.246669i | ||||
\(495\) | −44.7197 | − | 37.3476i | −2.01000 | − | 1.67865i | ||||
\(496\) | 1.16127 | − | 2.01138i | 0.0521425 | − | 0.0903135i | ||||
\(497\) | −12.1454 | + | 26.9831i | −0.544795 | + | 1.21036i | ||||
\(498\) | −0.618323 | + | 7.16329i | −0.0277077 | + | 0.320995i | ||||
\(499\) | −7.88549 | + | 4.55269i | −0.353003 | + | 0.203807i | −0.666007 | − | 0.745945i | \(-0.731998\pi\) |
0.313004 | + | 0.949752i | \(0.398665\pi\) | |||||||
\(500\) | − | 36.3512i | − | 1.62567i | ||||||
\(501\) | −22.4707 | − | 15.6953i | −1.00392 | − | 0.701215i | ||||
\(502\) | −2.00148 | − | 3.46666i | −0.0893304 | − | 0.154725i | ||||
\(503\) | −5.79205 | − | 10.0321i | −0.258255 | − | 0.447310i | 0.707520 | − | 0.706693i | \(-0.249814\pi\) |
−0.965774 | + | 0.259383i | \(0.916481\pi\) | |||||||
\(504\) | 3.46701 | + | 7.14002i | 0.154433 | + | 0.318042i | ||||
\(505\) | −0.299970 | − | 0.173188i | −0.0133485 | − | 0.00770675i | ||||
\(506\) | −5.51803 | + | 3.18584i | −0.245307 | + | 0.141628i | ||||
\(507\) | 6.57879 | + | 21.5341i | 0.292174 | + | 0.956365i | ||||
\(508\) | 0.0510484 | − | 0.0884185i | 0.00226491 | − | 0.00392294i | ||||
\(509\) | − | 26.4808i | − | 1.17374i | −0.809681 | − | 0.586871i | \(-0.800360\pi\) | ||
0.809681 | − | 0.586871i | \(-0.199640\pi\) | |||||||
\(510\) | −1.29805 | + | 0.607127i | −0.0574786 | + | 0.0268840i | ||||
\(511\) | −31.0687 | + | 3.13774i | −1.37440 | + | 0.138805i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | 6.19227 | − | 6.23558i | 0.273395 | − | 0.275307i | ||||
\(514\) | 8.95503 | 0.394989 | ||||||||
\(515\) | −22.4527 | + | 38.8892i | −0.989383 | + | 1.71366i | ||||
\(516\) | −2.54167 | − | 5.43414i | −0.111891 | − | 0.239225i | ||||
\(517\) | 39.3384 | + | 22.7121i | 1.73010 | + | 0.998875i | ||||
\(518\) | 12.2408 | − | 8.81763i | 0.537831 | − | 0.387425i | ||||
\(519\) | 12.6192 | − | 18.0668i | 0.553923 | − | 0.793043i | ||||
\(520\) | −1.09120 | + | 15.4530i | −0.0478524 | + | 0.677660i | ||||
\(521\) | 4.04236 | − | 7.00158i | 0.177099 | − | 0.306745i | −0.763787 | − | 0.645469i | \(-0.776662\pi\) |
0.940886 | + | 0.338724i | \(0.109995\pi\) | |||||||
\(522\) | 23.0369 | + | 19.2392i | 1.00830 | + | 0.842078i | ||||
\(523\) | 1.34371i | 0.0587565i | 0.999568 | + | 0.0293782i | \(0.00935273\pi\) | ||||
−0.999568 | + | 0.0293782i | \(0.990647\pi\) | |||||||
\(524\) | 0.746067 | + | 1.29223i | 0.0325921 | + | 0.0564512i | ||||
\(525\) | −61.6773 | + | 0.897305i | −2.69182 | + | 0.0391616i | ||||
\(526\) | 15.5696 | − | 8.98910i | 0.678866 | − | 0.391943i | ||||
\(527\) | 0.223615 | − | 0.387313i | 0.00974084 | − | 0.0168716i | ||||
\(528\) | 3.31701 | + | 7.09183i | 0.144354 | + | 0.308632i | ||||
\(529\) | 21.0130 | 0.913610 | ||||||||
\(530\) | −27.7471 | −1.20526 | ||||||||
\(531\) | 1.88601 | − | 10.8433i | 0.0818458 | − | 0.470560i | ||||
\(532\) | −4.45192 | + | 0.449615i | −0.193015 | + | 0.0194933i | ||||
\(533\) | 4.65317 | − | 2.26556i | 0.201551 | − | 0.0981324i | ||||
\(534\) | −0.322618 | + | 3.73754i | −0.0139610 | + | 0.161739i | ||||
\(535\) | −11.5233 | − | 19.9590i | −0.498197 | − | 0.862903i | ||||
\(536\) | −4.38012 | + | 2.52887i | −0.189193 | + | 0.109230i | ||||
\(537\) | −8.65303 | + | 4.04722i | −0.373406 | + | 0.174650i | ||||
\(538\) | −2.85518 | −0.123096 | ||||||||
\(539\) | 31.0024 | − | 6.32662i | 1.33537 | − | 0.272507i | ||||
\(540\) | −21.5446 | + | 5.85341i | −0.927133 | + | 0.251891i | ||||
\(541\) | −32.4126 | + | 18.7134i | −1.39353 | + | 0.804553i | −0.993704 | − | 0.112039i | \(-0.964262\pi\) |
−0.399823 | + | 0.916592i | \(0.630928\pi\) | |||||||
\(542\) | −4.47256 | −0.192113 | ||||||||
\(543\) | −0.589272 | + | 6.82673i | −0.0252881 | + | 0.292963i | ||||
\(544\) | 0.192561 | 0.00825599 | ||||||||
\(545\) | 30.3473 | 1.29993 | ||||||||
\(546\) | 16.4969 | + | 0.923960i | 0.706000 | + | 0.0395419i | ||||
\(547\) | 39.2814 | 1.67955 | 0.839775 | − | 0.542934i | \(-0.182687\pi\) | ||||
0.839775 | + | 0.542934i | \(0.182687\pi\) | |||||||
\(548\) | −20.1088 | −0.859005 | ||||||||
\(549\) | −18.6791 | − | 15.5998i | −0.797206 | − | 0.665785i | ||||
\(550\) | −60.8442 | −2.59440 | ||||||||
\(551\) | −14.6533 | + | 8.46010i | −0.624253 | + | 0.360413i | ||||
\(552\) | −0.209966 | + | 2.43246i | −0.00893673 | + | 0.103532i | ||||
\(553\) | 4.19344 | − | 9.31646i | 0.178323 | − | 0.396176i | ||||
\(554\) | 14.8067 | 0.629078 | ||||||||
\(555\) | 17.9778 | + | 38.4369i | 0.763116 | + | 1.63156i | ||||
\(556\) | −14.3239 | + | 8.26993i | −0.607470 | + | 0.350723i | ||||
\(557\) | −1.89706 | − | 3.28581i | −0.0803811 | − | 0.139224i | 0.823033 | − | 0.567994i | \(-0.192280\pi\) |
−0.903414 | + | 0.428770i | \(0.858947\pi\) | |||||||
\(558\) | 4.46628 | − | 5.34789i | 0.189073 | − | 0.226394i | ||||
\(559\) | −12.4572 | − | 0.879658i | −0.526885 | − | 0.0372056i | ||||
\(560\) | 10.3660 | + | 4.66584i | 0.438042 | + | 0.197168i | ||||
\(561\) | 0.638727 | + | 1.36561i | 0.0269671 | + | 0.0576562i | ||||
\(562\) | 3.78960 | 0.159855 | ||||||||
\(563\) | 6.67273 | 0.281222 | 0.140611 | − | 0.990065i | \(-0.455093\pi\) | ||||
0.140611 | + | 0.990065i | \(0.455093\pi\) | |||||||
\(564\) | 15.7663 | − | 7.37425i | 0.663881 | − | 0.310512i | ||||
\(565\) | −27.4455 | + | 47.5370i | −1.15464 | + | 1.99990i | ||||
\(566\) | 23.9803 | − | 13.8450i | 1.00797 | − | 0.581950i | ||||
\(567\) | 6.57666 | + | 22.8855i | 0.276194 | + | 0.961102i | ||||
\(568\) | 5.59208 | + | 9.68576i | 0.234638 | + | 0.406406i | ||||
\(569\) | − | 18.2299i | − | 0.764238i | −0.924113 | − | 0.382119i | \(-0.875194\pi\) | ||
0.924113 | − | 0.382119i | \(-0.124806\pi\) | |||||||
\(570\) | 1.08237 | − | 12.5393i | 0.0453354 | − | 0.525212i | ||||
\(571\) | 22.5493 | − | 39.0565i | 0.943657 | − | 1.63446i | 0.185239 | − | 0.982693i | \(-0.440694\pi\) |
0.758418 | − | 0.651769i | \(-0.225973\pi\) | |||||||
\(572\) | 16.2573 | + | 1.14800i | 0.679753 | + | 0.0480002i | ||||
\(573\) | −10.2258 | − | 7.14248i | −0.427188 | − | 0.298381i | ||||
\(574\) | −0.381603 | − | 3.77848i | −0.0159278 | − | 0.157711i | ||||
\(575\) | −16.4319 | − | 9.48697i | −0.685258 | − | 0.395634i | ||||
\(576\) | 2.95563 | + | 0.514080i | 0.123151 | + | 0.0214200i | ||||
\(577\) | 16.5263 | − | 28.6244i | 0.688000 | − | 1.19165i | −0.284484 | − | 0.958681i | \(-0.591822\pi\) |
0.972484 | − | 0.232970i | \(-0.0748444\pi\) | |||||||
\(578\) | −16.9629 | −0.705564 | ||||||||
\(579\) | 32.2697 | − | 15.0933i | 1.34108 | − | 0.627254i | ||||
\(580\) | 42.9859 | 1.78489 | ||||||||
\(581\) | 8.91145 | − | 6.41933i | 0.369709 | − | 0.266319i | ||||
\(582\) | −10.0757 | − | 21.5421i | −0.417652 | − | 0.892947i | ||||
\(583\) | 29.1913i | 1.20898i | ||||||||
\(584\) | −5.90130 | + | 10.2214i | −0.244198 | + | 0.422963i | ||||
\(585\) | −11.1693 | + | 45.1124i | −0.461793 | + | 1.86517i | ||||
\(586\) | 17.6685 | − | 10.2009i | 0.729879 | − | 0.421396i | ||||
\(587\) | −26.4828 | − | 15.2899i | −1.09306 | − | 0.631081i | −0.158673 | − | 0.987331i | \(-0.550722\pi\) |
−0.934390 | + | 0.356251i | \(0.884055\pi\) | |||||||
\(588\) | 4.81507 | − | 11.1272i | 0.198570 | − | 0.458879i | ||||
\(589\) | 1.96397 | + | 3.40169i | 0.0809239 | + | 0.140164i | ||||
\(590\) | −7.88143 | − | 13.6510i | −0.324473 | − | 0.562004i | ||||
\(591\) | −24.9043 | + | 35.6551i | −1.02443 | + | 1.46666i | ||||
\(592\) | − | 5.70199i | − | 0.234350i | ||||||
\(593\) | −14.5119 | + | 8.37847i | −0.595934 | + | 0.344063i | −0.767440 | − | 0.641120i | \(-0.778470\pi\) |
0.171506 | + | 0.985183i | \(0.445137\pi\) | |||||||
\(594\) | 6.15807 | + | 22.6660i | 0.252669 | + | 0.929997i | ||||
\(595\) | 1.99608 | + | 0.898460i | 0.0818315 | + | 0.0368333i | ||||
\(596\) | 2.04689 | − | 3.54532i | 0.0838438 | − | 0.145222i | ||||
\(597\) | −1.10570 | + | 12.8095i | −0.0452532 | + | 0.524259i | ||||
\(598\) | 4.21155 | + | 2.84492i | 0.172223 | + | 0.116337i | ||||
\(599\) | −19.4413 | − | 11.2245i | −0.794352 | − | 0.458619i | 0.0471404 | − | 0.998888i | \(-0.484989\pi\) |
−0.841492 | + | 0.540269i | \(0.818323\pi\) | |||||||
\(600\) | −13.3503 | + | 19.1135i | −0.545025 | + | 0.780304i | ||||
\(601\) | 13.6726 | + | 7.89389i | 0.557718 | + | 0.321999i | 0.752229 | − | 0.658902i | \(-0.228979\pi\) |
−0.194511 | + | 0.980900i | \(0.562312\pi\) | |||||||
\(602\) | −3.76130 | + | 8.35639i | −0.153299 | + | 0.340581i | ||||
\(603\) | −14.2460 | + | 5.22265i | −0.580144 | + | 0.212683i | ||||
\(604\) | 6.54953 | + | 3.78138i | 0.266497 | + | 0.153862i | ||||
\(605\) | 40.5261i | 1.64762i | ||||||||
\(606\) | 0.0591581 | + | 0.126481i | 0.00240313 | + | 0.00513794i | ||||
\(607\) | −6.62940 | − | 3.82749i | −0.269079 | − | 0.155353i | 0.359390 | − | 0.933187i | \(-0.382985\pi\) |
−0.628469 | + | 0.777835i | \(0.716318\pi\) | |||||||
\(608\) | −0.845613 | + | 1.46464i | −0.0342941 | + | 0.0593992i | ||||
\(609\) | −0.666934 | − | 45.8424i | −0.0270255 | − | 1.85763i | ||||
\(610\) | −34.8545 | −1.41122 | ||||||||
\(611\) | 2.55219 | − | 36.1427i | 0.103250 | − | 1.46218i | ||||
\(612\) | 0.569139 | + | 0.0989918i | 0.0230061 | + | 0.00400151i | ||||
\(613\) | −30.1489 | + | 17.4065i | −1.21770 | + | 0.703041i | −0.964426 | − | 0.264353i | \(-0.914842\pi\) |
−0.253277 | + | 0.967394i | \(0.581508\pi\) | |||||||
\(614\) | 25.5018 | 1.02917 | ||||||||
\(615\) | 10.6425 | + | 0.918641i | 0.429146 | + | 0.0370432i | ||||
\(616\) | 4.90869 | − | 10.9055i | 0.197777 | − | 0.439395i | ||||
\(617\) | −12.4947 | − | 21.6415i | −0.503019 | − | 0.871255i | −0.999994 | − | 0.00348999i | \(-0.998889\pi\) |
0.496975 | − | 0.867765i | \(-0.334444\pi\) | |||||||
\(618\) | 16.3975 | − | 7.66947i | 0.659603 | − | 0.308511i | ||||
\(619\) | 1.25318 | − | 2.17058i | 0.0503697 | − | 0.0872429i | −0.839741 | − | 0.542987i | \(-0.817293\pi\) |
0.890111 | + | 0.455744i | \(0.150627\pi\) | |||||||
\(620\) | − | 9.97895i | − | 0.400764i | ||||||
\(621\) | −1.87106 | + | 7.08149i | −0.0750829 | + | 0.284170i | ||||
\(622\) | 8.67002 | − | 15.0169i | 0.347636 | − | 0.602123i | ||||
\(623\) | 4.64966 | − | 3.34937i | 0.186285 | − | 0.134190i | ||||
\(624\) | 3.92779 | − | 4.85515i | 0.157237 | − | 0.194362i | ||||
\(625\) | −44.4414 | − | 76.9747i | −1.77765 | − | 3.07899i | ||||
\(626\) | −7.84351 | + | 4.52845i | −0.313490 | + | 0.180993i | ||||
\(627\) | −13.1919 | − | 1.13870i | −0.526834 | − | 0.0454755i | ||||
\(628\) | −4.42840 | − | 2.55674i | −0.176712 | − | 0.102025i | ||||
\(629\) | − | 1.09798i | − | 0.0437794i | ||||||
\(630\) | 28.2393 | + | 19.1194i | 1.12508 | + | 0.761736i | ||||
\(631\) | 18.3250 | − | 10.5800i | 0.729508 | − | 0.421182i | −0.0887343 | − | 0.996055i | \(-0.528282\pi\) |
0.818242 | + | 0.574874i | \(0.194949\pi\) | |||||||
\(632\) | −1.93078 | − | 3.34421i | −0.0768023 | − | 0.133025i | ||||
\(633\) | −5.16667 | + | 7.39705i | −0.205357 | + | 0.294006i | ||||
\(634\) | 4.97176 | + | 8.61134i | 0.197454 | + | 0.342000i | ||||
\(635\) | − | 0.438666i | − | 0.0174079i | ||||||
\(636\) | 9.17010 | + | 6.40512i | 0.363618 | + | 0.253979i | ||||
\(637\) | −15.3626 | − | 20.0248i | −0.608688 | − | 0.793410i | ||||
\(638\) | − | 45.2232i | − | 1.79040i | ||||||
\(639\) | 11.5488 | + | 31.5023i | 0.456865 | + | 1.24621i | ||||
\(640\) | 3.72094 | − | 2.14828i | 0.147083 | − | 0.0849184i | ||||
\(641\) | 33.5804i | 1.32635i | 0.748466 | + | 0.663173i | \(0.230791\pi\) | ||||
−0.748466 | + | 0.663173i | \(0.769209\pi\) | |||||||
\(642\) | −0.798984 | + | 9.25625i | −0.0315334 | + | 0.365315i | ||||
\(643\) | −12.7327 | − | 22.0537i | −0.502129 | − | 0.869713i | −0.999997 | − | 0.00246038i | \(-0.999217\pi\) |
0.497868 | − | 0.867253i | \(-0.334116\pi\) | |||||||
\(644\) | 3.02608 | − | 2.17983i | 0.119244 | − | 0.0858972i | ||||
\(645\) | −21.1315 | − | 14.7599i | −0.832051 | − | 0.581169i | ||||
\(646\) | −0.162832 | + | 0.282034i | −0.00640655 | + | 0.0110965i | ||||
\(647\) | −5.30960 | − | 9.19649i | −0.208742 | − | 0.361552i | 0.742577 | − | 0.669761i | \(-0.233604\pi\) |
−0.951318 | + | 0.308210i | \(0.900270\pi\) | |||||||
\(648\) | 8.47144 | + | 3.03885i | 0.332790 | + | 0.119377i | ||||
\(649\) | −14.3616 | + | 8.29165i | −0.563740 | + | 0.325476i | ||||
\(650\) | 21.2454 | + | 43.6353i | 0.833314 | + | 1.71152i | ||||
\(651\) | −10.6421 | + | 0.154825i | −0.417096 | + | 0.00606808i | ||||
\(652\) | 8.00463 | + | 4.62147i | 0.313485 | + | 0.180991i | ||||
\(653\) | 8.80038i | 0.344385i | 0.985063 | + | 0.172193i | \(0.0550852\pi\) | ||||
−0.985063 | + | 0.172193i | \(0.944915\pi\) | |||||||
\(654\) | −10.0294 | − | 7.00533i | −0.392181 | − | 0.273930i | ||||
\(655\) | 5.55214 | + | 3.20553i | 0.216940 | + | 0.125250i | ||||
\(656\) | −1.24309 | − | 0.717699i | −0.0485345 | − | 0.0280214i | ||||
\(657\) | −22.6966 | + | 27.1768i | −0.885480 | + | 1.06027i | ||||
\(658\) | −24.2447 | − | 10.9128i | −0.945158 | − | 0.425426i | ||||
\(659\) | 5.79064 | − | 3.34323i | 0.225571 | − | 0.130234i | −0.382956 | − | 0.923767i | \(-0.625094\pi\) |
0.608527 | + | 0.793533i | \(0.291761\pi\) | |||||||
\(660\) | 27.5777 | + | 19.2624i | 1.07346 | + | 0.749787i | ||||
\(661\) | −24.8847 | − | 43.1016i | −0.967904 | − | 1.67646i | −0.701601 | − | 0.712570i | \(-0.747531\pi\) |
−0.266303 | − | 0.963889i | \(-0.585802\pi\) | |||||||
\(662\) | −23.9748 | − | 13.8419i | −0.931807 | − | 0.537979i | ||||
\(663\) | 0.756339 | − | 0.934914i | 0.0293738 | − | 0.0363090i | ||||
\(664\) | − | 4.15111i | − | 0.161094i | ||||||
\(665\) | −15.5994 | + | 11.2370i | −0.604919 | + | 0.435751i | ||||
\(666\) | 2.93128 | − | 16.8529i | 0.113585 | − | 0.653038i | ||||
\(667\) | 7.05132 | − | 12.2132i | 0.273028 | − | 0.472898i | ||||
\(668\) | 13.7047 | + | 7.91242i | 0.530251 | + | 0.306141i | ||||
\(669\) | 7.28156 | − | 10.4249i | 0.281521 | − | 0.403050i | ||||
\(670\) | −10.8654 | + | 18.8195i | −0.419769 | + | 0.727061i | ||||
\(671\) | 36.6686i | 1.41558i | ||||||||
\(672\) | −2.34878 | − | 3.93488i | −0.0906060 | − | 0.151791i | ||||
\(673\) | −22.5838 | + | 39.1163i | −0.870542 | + | 1.50782i | −0.00910418 | + | 0.999959i | \(0.502898\pi\) |
−0.861437 | + | 0.507864i | \(0.830435\pi\) | |||||||
\(674\) | −9.67002 | −0.372475 | ||||||||
\(675\) | −49.2844 | + | 49.6291i | −1.89696 | + | 1.91023i | ||||
\(676\) | −4.85339 | − | 12.0600i | −0.186669 | − | 0.463848i | ||||
\(677\) | −10.7942 | − | 18.6960i | −0.414853 | − | 0.718546i | 0.580560 | − | 0.814217i | \(-0.302834\pi\) |
−0.995413 | + | 0.0956710i | \(0.969500\pi\) | |||||||
\(678\) | 20.0438 | − | 9.37494i | 0.769777 | − | 0.360042i | ||||
\(679\) | −14.9106 | + | 33.1265i | −0.572216 | + | 1.27128i | ||||
\(680\) | 0.716508 | − | 0.413676i | 0.0274768 | − | 0.0158638i | ||||
\(681\) | 3.21738 | − | 37.2734i | 0.123290 | − | 1.42832i | ||||
\(682\) | −10.4983 | −0.402002 | ||||||||
\(683\) | 43.5860 | 1.66777 | 0.833886 | − | 0.551937i | \(-0.186111\pi\) | ||||
0.833886 | + | 0.551937i | \(0.186111\pi\) | |||||||
\(684\) | −3.25226 | + | 3.89423i | −0.124353 | + | 0.148900i | ||||
\(685\) | −74.8236 | + | 43.1994i | −2.85886 | + | 1.65056i | ||||
\(686\) | −17.6823 | + | 5.50772i | −0.675115 | + | 0.210286i | ||||
\(687\) | 8.11999 | + | 17.3607i | 0.309797 | + | 0.662352i | ||||
\(688\) | 1.73181 | + | 2.99958i | 0.0660246 | + | 0.114358i | ||||
\(689\) | 20.9350 | − | 10.1930i | 0.797560 | − | 0.388321i | ||||
\(690\) | 4.44434 | + | 9.50208i | 0.169193 | + | 0.361738i | ||||
\(691\) | −5.40377 | −0.205569 | −0.102785 | − | 0.994704i | \(-0.532775\pi\) | ||||
−0.102785 | + | 0.994704i | \(0.532775\pi\) | |||||||
\(692\) | −6.36169 | + | 11.0188i | −0.241835 | + | 0.418871i | ||||
\(693\) | 20.1146 | − | 29.7091i | 0.764089 | − | 1.12856i | ||||
\(694\) | − | 21.2360i | − | 0.806109i | ||||||
\(695\) | −35.5323 | + | 61.5438i | −1.34782 | + | 2.33449i | ||||
\(696\) | −14.2063 | − | 9.92281i | −0.538490 | − | 0.376123i | ||||
\(697\) | −0.239371 | − | 0.138201i | −0.00906682 | − | 0.00523473i | ||||
\(698\) | 3.87087 | − | 6.70454i | 0.146515 | − | 0.253771i | ||||
\(699\) | −10.7552 | + | 5.03044i | −0.406798 | + | 0.190269i | ||||
\(700\) | 35.4329 | − | 3.57850i | 1.33924 | − | 0.135254i | ||||
\(701\) | 29.7087i | 1.12208i | 0.827787 | + | 0.561042i | \(0.189599\pi\) | ||||
−0.827787 | + | 0.561042i | \(0.810401\pi\) | |||||||
\(702\) | 14.1050 | − | 12.3308i | 0.532359 | − | 0.465397i | ||||
\(703\) | 8.35138 | + | 4.82167i | 0.314978 | + | 0.181853i | ||||
\(704\) | −2.26010 | − | 3.91461i | −0.0851807 | − | 0.147537i | ||||
\(705\) | 42.8234 | − | 61.3096i | 1.61282 | − | 2.30905i | ||||
\(706\) | 4.13071 | − | 2.38487i | 0.155461 | − | 0.0897556i | ||||
\(707\) | 0.0875454 | − | 0.194497i | 0.00329248 | − | 0.00731482i | ||||
\(708\) | −0.546468 | + | 6.33085i | −0.0205375 | + | 0.237928i | ||||
\(709\) | 29.5236 | + | 17.0454i | 1.10878 | + | 0.640155i | 0.938513 | − | 0.345243i | \(-0.112203\pi\) |
0.170268 | + | 0.985398i | \(0.445537\pi\) | |||||||
\(710\) | 41.6156 | + | 24.0268i | 1.56180 | + | 0.901708i | ||||
\(711\) | −3.98747 | − | 10.8768i | −0.149542 | − | 0.407912i | ||||
\(712\) | − | 2.16589i | − | 0.0811702i | ||||||
\(713\) | −2.83524 | − | 1.63693i | −0.106181 | − | 0.0613034i | ||||
\(714\) | −0.452283 | − | 0.757704i | −0.0169263 | − | 0.0283564i | ||||
\(715\) | 62.9587 | − | 30.6537i | 2.35452 | − | 1.14638i | ||||
\(716\) | 4.77637 | − | 2.75764i | 0.178501 | − | 0.103058i | ||||
\(717\) | 12.1875 | + | 1.05200i | 0.455149 | + | 0.0392877i | ||||
\(718\) | −14.0272 | − | 24.2958i | −0.523491 | − | 0.906713i | ||||
\(719\) | 13.8089 | − | 23.9177i | 0.514985 | − | 0.891979i | −0.484864 | − | 0.874589i | \(-0.661131\pi\) |
0.999849 | − | 0.0173900i | \(-0.00553570\pi\) | |||||||
\(720\) | 12.1021 | − | 4.43667i | 0.451018 | − | 0.165345i | ||||
\(721\) | −25.2153 | − | 11.3497i | −0.939068 | − | 0.422685i | ||||
\(722\) | 8.06988 | + | 13.9774i | 0.300330 | + | 0.520186i | ||||
\(723\) | 34.0577 | + | 2.93980i | 1.26662 | + | 0.109332i | ||||
\(724\) | − | 3.95607i | − | 0.147026i | ||||||
\(725\) | 116.626 | − | 67.3342i | 4.33139 | − | 2.50073i | ||||
\(726\) | 9.35499 | − | 13.3934i | 0.347196 | − | 0.497076i | ||||
\(727\) | − | 3.84648i | − | 0.142658i | −0.997453 | − | 0.0713291i | \(-0.977276\pi\) | ||
0.997453 | − | 0.0713291i | \(-0.0227241\pi\) | |||||||
\(728\) | −9.53506 | + | 0.287618i | −0.353393 | + | 0.0106598i | ||||
\(729\) | 23.4762 | + | 13.3367i | 0.869489 | + | 0.493952i | ||||
\(730\) | 50.7107i | 1.87689i | ||||||||
\(731\) | 0.333479 | + | 0.577603i | 0.0123342 | + | 0.0213634i | ||||
\(732\) | 11.5190 | + | 8.04576i | 0.425754 | + | 0.297380i | ||||
\(733\) | 4.54533 | + | 7.87274i | 0.167886 | + | 0.290786i | 0.937676 | − | 0.347510i | \(-0.112973\pi\) |
−0.769791 | + | 0.638296i | \(0.779639\pi\) | |||||||
\(734\) | 9.24291 | − | 5.33639i | 0.341162 | − | 0.196970i | ||||
\(735\) | −5.98785 | − | 51.7479i | −0.220865 | − | 1.90875i | ||||
\(736\) | − | 1.40960i | − | 0.0519586i | ||||||
\(737\) | 19.7990 | + | 11.4310i | 0.729307 | + | 0.421065i | ||||
\(738\) | −3.30516 | − | 2.76030i | −0.121664 | − | 0.101608i | ||||
\(739\) | −15.0189 | + | 8.67118i | −0.552480 | + | 0.318974i | −0.750122 | − | 0.661300i | \(-0.770005\pi\) |
0.197642 | + | 0.980274i | \(0.436672\pi\) | |||||||
\(740\) | −12.2495 | − | 21.2167i | −0.450300 | − | 0.779943i | ||||
\(741\) | 3.78968 | + | 9.85839i | 0.139218 | + | 0.362157i | ||||
\(742\) | −1.71686 | − | 16.9997i | −0.0630280 | − | 0.624079i | ||||
\(743\) | 12.2804 | − | 21.2704i | 0.450526 | − | 0.780334i | −0.547893 | − | 0.836549i | \(-0.684570\pi\) |
0.998419 | + | 0.0562149i | \(0.0179032\pi\) | |||||||
\(744\) | −2.30353 | + | 3.29793i | −0.0844514 | + | 0.120908i | ||||
\(745\) | − | 17.5892i | − | 0.644418i | ||||||
\(746\) | 11.4478 | − | 19.8282i | 0.419135 | − | 0.725963i | ||||
\(747\) | 2.13400 | − | 12.2691i | 0.0780790 | − | 0.448903i | ||||
\(748\) | −0.435207 | − | 0.753801i | −0.0159128 | − | 0.0275617i | ||||
\(749\) | 11.5152 | − | 8.29492i | 0.420756 | − | 0.303090i | ||||
\(750\) | −5.41465 | + | 62.7288i | −0.197715 | + | 2.29053i | ||||
\(751\) | 36.4415 | 1.32977 | 0.664885 | − | 0.746946i | \(-0.268481\pi\) | ||||
0.664885 | + | 0.746946i | \(0.268481\pi\) | |||||||
\(752\) | −8.70281 | + | 5.02457i | −0.317359 | + | 0.183227i | ||||
\(753\) | 2.93745 | + | 6.28032i | 0.107047 | + | 0.228868i | ||||
\(754\) | −32.4325 | + | 15.7909i | −1.18112 | + | 0.575072i | ||||
\(755\) | 32.4939 | 1.18257 | ||||||||
\(756\) | −4.91926 | − | 12.8375i | −0.178912 | − | 0.466895i | ||||
\(757\) | −10.7145 | + | 18.5581i | −0.389427 | + | 0.674507i | −0.992372 | − | 0.123275i | \(-0.960660\pi\) |
0.602946 | + | 0.797782i | \(0.293993\pi\) | |||||||
\(758\) | 2.11006 | + | 1.21824i | 0.0766408 | + | 0.0442486i | ||||
\(759\) | 9.99665 | − | 4.67566i | 0.362855 | − | 0.169716i | ||||
\(760\) | 7.26647i | 0.263583i | ||||||||
\(761\) | 30.0314 | + | 17.3386i | 1.08864 | + | 0.628525i | 0.933213 | − | 0.359323i | \(-0.116992\pi\) |
0.155424 | + | 0.987848i | \(0.450326\pi\) | |||||||
\(762\) | −0.101261 | + | 0.144974i | −0.00366831 | + | 0.00525186i | ||||
\(763\) | 1.87775 | + | 18.5927i | 0.0679790 | + | 0.673102i | ||||
\(764\) | 6.23661 | + | 3.60071i | 0.225633 | + | 0.130269i | ||||
\(765\) | 2.33039 | − | 0.854330i | 0.0842555 | − | 0.0308884i | ||||
\(766\) | 12.3614 | + | 7.13684i | 0.446635 | + | 0.257865i | ||||
\(767\) | 10.9612 | + | 7.40434i | 0.395786 | + | 0.267355i | ||||
\(768\) | −1.72563 | − | 0.148954i | −0.0622685 | − | 0.00537491i | ||||
\(769\) | −0.987858 | + | 1.71102i | −0.0356231 | + | 0.0617010i | −0.883287 | − | 0.468832i | \(-0.844675\pi\) |
0.847664 | + | 0.530533i | \(0.178008\pi\) | |||||||
\(770\) | −5.16319 | − | 51.1240i | −0.186069 | − | 1.84238i | ||||
\(771\) | −15.4531 | − | 1.33389i | −0.556530 | − | 0.0480388i | ||||
\(772\) | −17.8125 | + | 10.2840i | −0.641085 | + | 0.370131i | ||||
\(773\) | − | 2.30696i | − | 0.0829757i | −0.999139 | − | 0.0414879i | \(-0.986790\pi\) | ||
0.999139 | − | 0.0414879i | \(-0.0132098\pi\) | |||||||
\(774\) | 3.57656 | + | 9.75593i | 0.128557 | + | 0.350670i | ||||
\(775\) | −15.6313 | − | 27.0742i | −0.561492 | − | 0.972532i | ||||
\(776\) | 6.86525 | + | 11.8910i | 0.246448 | + | 0.426861i | ||||
\(777\) | −22.4366 | + | 13.3927i | −0.804909 | + | 0.480460i | ||||
\(778\) | −7.37813 | − | 4.25977i | −0.264519 | − | 0.152720i | ||||
\(779\) | 2.10235 | − | 1.21379i | 0.0753244 | − | 0.0434886i | ||||
\(780\) | 4.18480 | − | 26.5037i | 0.149840 | − | 0.948985i | ||||
\(781\) | 25.2773 | − | 43.7816i | 0.904493 | − | 1.56663i | ||||
\(782\) | − | 0.271434i | − | 0.00970648i | ||||||
\(783\) | −36.8875 | − | 36.6313i | −1.31825 | − | 1.30910i | ||||
\(784\) | −2.21720 | + | 6.63958i | −0.0791859 | + | 0.237128i | ||||
\(785\) | −21.9704 | −0.784157 | ||||||||
\(786\) | −1.09496 | − | 2.34104i | −0.0390558 | − | 0.0835021i | ||||
\(787\) | −45.1597 | −1.60977 | −0.804885 | − | 0.593431i | \(-0.797773\pi\) | ||||
−0.804885 | + | 0.593431i | \(0.797773\pi\) | |||||||
\(788\) | 12.5549 | − | 21.7458i | 0.447251 | − | 0.774661i | ||||
\(789\) | −28.2063 | + | 13.1927i | −1.00417 | + | 0.469674i | ||||
\(790\) | −14.3686 | − | 8.29573i | −0.511213 | − | 0.295149i | ||||
\(791\) | −30.8225 | − | 13.8736i | −1.09592 | − | 0.493287i | ||||
\(792\) | −4.66759 | − | 12.7320i | −0.165855 | − | 0.452411i | ||||
\(793\) | 26.2974 | − | 12.8039i | 0.933849 | − | 0.454678i | ||||
\(794\) | −6.69762 | + | 11.6006i | −0.237690 | + | 0.411691i | ||||
\(795\) | 47.8814 | + | 4.13304i | 1.69818 | + | 0.146584i | ||||
\(796\) | − | 7.42309i | − | 0.263104i | ||||||
\(797\) | −3.13411 | − | 5.42843i | −0.111016 | − | 0.192285i | 0.805164 | − | 0.593052i | \(-0.202077\pi\) |
−0.916180 | + | 0.400767i | \(0.868744\pi\) | |||||||
\(798\) | 7.74935 | − | 0.112741i | 0.274324 | − | 0.00399098i | ||||
\(799\) | −1.67582 | + | 0.967537i | −0.0592864 | + | 0.0342290i | ||||
\(800\) | 6.73025 | − | 11.6571i | 0.237950 | − | 0.412142i | ||||
\(801\) | 1.11344 | − | 6.40157i | 0.0393415 | − | 0.226188i | ||||
\(802\) | 14.8495 | 0.524355 | ||||||||
\(803\) | 53.3501 | 1.88268 | ||||||||
\(804\) | 7.93518 | − | 3.71146i | 0.279852 | − | 0.130893i | ||||
\(805\) | 6.57698 | − | 14.6119i | 0.231808 | − | 0.515001i | ||||
\(806\) | 3.66578 | + | 7.52904i | 0.129122 | + | 0.265199i | ||||
\(807\) | 4.92699 | + | 0.425290i | 0.173438 | + | 0.0149709i | ||||
\(808\) | −0.0403083 | − | 0.0698161i | −0.00141804 | − | 0.00245612i | ||||
\(809\) | −17.0434 | + | 9.84001i | −0.599214 | + | 0.345956i | −0.768732 | − | 0.639571i | \(-0.779112\pi\) |
0.169518 | + | 0.985527i | \(0.445779\pi\) | |||||||
\(810\) | 38.0500 | − | 6.89168i | 1.33694 | − | 0.242149i | ||||
\(811\) | 55.9783 | 1.96566 | 0.982832 | − | 0.184501i | \(-0.0590669\pi\) | ||||
0.982832 | + | 0.184501i | \(0.0590669\pi\) | |||||||
\(812\) | 2.65976 | + | 26.3360i | 0.0933394 | + | 0.924212i | ||||
\(813\) | 7.71800 | + | 0.666205i | 0.270682 | + | 0.0233648i | ||||
\(814\) | −22.3210 | + | 12.8871i | −0.782352 | + | 0.451691i | ||||
\(815\) | 39.7130 | 1.39108 | ||||||||
\(816\) | −0.332290 | − | 0.0286827i | −0.0116325 | − | 0.00100410i | ||||
\(817\) | −5.85776 | −0.204937 | ||||||||
\(818\) | 18.4860 | 0.646348 | ||||||||
\(819\) | −28.3299 | − | 4.05169i | −0.989927 | − | 0.141577i | ||||
\(820\) | −6.16728 | −0.215371 | ||||||||
\(821\) | 11.5367 | 0.402634 | 0.201317 | − | 0.979526i | \(-0.435478\pi\) | ||||
0.201317 | + | 0.979526i | \(0.435478\pi\) | |||||||
\(822\) | 34.7004 | + | 2.99528i | 1.21032 | + | 0.104472i | ||||
\(823\) | −16.5333 | −0.576313 | −0.288157 | − | 0.957583i | \(-0.593042\pi\) | ||||
−0.288157 | + | 0.957583i | \(0.593042\pi\) | |||||||
\(824\) | −9.05121 | + | 5.22572i | −0.315314 | + | 0.182047i | ||||
\(825\) | 104.995 | + | 9.06298i | 3.65545 | + | 0.315532i | ||||
\(826\) | 7.87586 | − | 5.67334i | 0.274036 | − | 0.197401i | ||||
\(827\) | 1.49924 | 0.0521335 | 0.0260668 | − | 0.999660i | \(-0.491702\pi\) | ||||
0.0260668 | + | 0.999660i | \(0.491702\pi\) | |||||||
\(828\) | 0.724647 | − | 4.16625i | 0.0251832 | − | 0.144787i | ||||
\(829\) | 22.5860 | − | 13.0400i | 0.784443 | − | 0.452898i | −0.0535597 | − | 0.998565i | \(-0.517057\pi\) |
0.838002 | + | 0.545666i | \(0.183723\pi\) | |||||||
\(830\) | −8.91776 | − | 15.4460i | −0.309540 | − | 0.536139i | ||||
\(831\) | −25.5510 | − | 2.20552i | −0.886355 | − | 0.0765087i | ||||
\(832\) | −2.01824 | + | 2.98776i | −0.0699700 | + | 0.103582i | ||||
\(833\) | −0.426948 | + | 1.27853i | −0.0147929 | + | 0.0442983i | ||||
\(834\) | 25.9497 | − | 12.1373i | 0.898565 | − | 0.420279i | ||||
\(835\) | 67.9925 | 2.35298 | ||||||||
\(836\) | 7.64468 | 0.264397 | ||||||||
\(837\) | −8.50376 | + | 8.56323i | −0.293933 | + | 0.295989i | ||||
\(838\) | 11.7502 | − | 20.3519i | 0.405904 | − | 0.703046i | ||||
\(839\) | −37.0634 | + | 21.3986i | −1.27957 | + | 0.738761i | −0.976769 | − | 0.214293i | \(-0.931255\pi\) |
−0.302801 | + | 0.953054i | \(0.597922\pi\) | |||||||
\(840\) | −17.1929 | − | 9.59559i | −0.593211 | − | 0.331079i | ||||
\(841\) | 35.5470 | + | 61.5692i | 1.22576 | + | 2.12308i | ||||
\(842\) | 7.74237i | 0.266820i | ||||||||
\(843\) | −6.53946 | − | 0.564475i | −0.225231 | − | 0.0194416i | ||||
\(844\) | 2.60466 | − | 4.51140i | 0.0896560 | − | 0.155289i | ||||
\(845\) | −43.9676 | − | 34.4482i | −1.51253 | − | 1.18505i | ||||
\(846\) | −28.3053 | + | 10.3768i | −0.973155 | + | 0.356762i | ||||
\(847\) | −24.8289 | + | 2.50756i | −0.853133 | + | 0.0861609i | ||||
\(848\) | −5.59277 | − | 3.22899i | −0.192057 | − | 0.110884i | ||||
\(849\) | −43.4435 | + | 20.3195i | −1.49098 | + | 0.697364i | ||||
\(850\) | 1.29599 | − | 2.24471i | 0.0444519 | − | 0.0769930i | ||||
\(851\) | −8.03752 | −0.275523 | ||||||||
\(852\) | −8.20715 | − | 17.5470i | −0.281172 | − | 0.601152i | ||||
\(853\) | −24.3552 | −0.833905 | −0.416952 | − | 0.908928i | \(-0.636902\pi\) | ||||
−0.416952 | + | 0.908928i | \(0.636902\pi\) | |||||||
\(854\) | −2.15663 | − | 21.3541i | −0.0737984 | − | 0.730724i | ||||
\(855\) | −3.73555 | + | 21.4770i | −0.127753 | + | 0.734497i | ||||
\(856\) | − | 5.36397i | − | 0.183337i | ||||||
\(857\) | 11.5857 | − | 20.0671i | 0.395761 | − | 0.685479i | −0.597437 | − | 0.801916i | \(-0.703814\pi\) |
0.993198 | + | 0.116437i | \(0.0371474\pi\) | |||||||
\(858\) | −27.8832 | − | 4.40262i | −0.951917 | − | 0.150303i | ||||
\(859\) | 6.79567 | − | 3.92348i | 0.231865 | − | 0.133868i | −0.379567 | − | 0.925164i | \(-0.623927\pi\) |
0.611432 | + | 0.791297i | \(0.290594\pi\) | |||||||
\(860\) | 12.8879 | + | 7.44084i | 0.439474 | + | 0.253731i | ||||
\(861\) | 0.0956866 | + | 6.57712i | 0.00326099 | + | 0.224148i | ||||
\(862\) | −9.13932 | − | 15.8298i | −0.311286 | − | 0.539164i | ||||
\(863\) | 9.45505 | + | 16.3766i | 0.321854 | + | 0.557467i | 0.980870 | − | 0.194661i | \(-0.0623608\pi\) |
−0.659017 | + | 0.752128i | \(0.729027\pi\) | |||||||
\(864\) | −5.02375 | − | 1.32737i | −0.170912 | − | 0.0451579i | ||||
\(865\) | 54.6669i | 1.85873i | ||||||||
\(866\) | 28.5068 | − | 16.4584i | 0.968700 | − | 0.559279i | ||||
\(867\) | 29.2718 | + | 2.52669i | 0.994122 | + | 0.0858110i | ||||
\(868\) | 6.11376 | − | 0.617450i | 0.207514 | − | 0.0209576i | ||||
\(869\) | −8.72751 | + | 15.1165i | −0.296060 | + | 0.512792i | ||||
\(870\) | −74.1779 | − | 6.40291i | −2.51487 | − | 0.217079i | ||||
\(871\) | 1.28452 | − | 18.1906i | 0.0435242 | − | 0.616366i | ||||
\(872\) | 6.11686 | + | 3.53157i | 0.207143 | + | 0.119594i | ||||
\(873\) | 14.1782 | + | 38.6745i | 0.479860 | + | 1.30893i | ||||
\(874\) | 2.06456 | + | 1.19198i | 0.0698349 | + | 0.0403192i | ||||
\(875\) | 78.0374 | − | 56.2140i | 2.63815 | − | 1.90038i | ||||
\(876\) | 11.7060 | − | 16.7593i | 0.395509 | − | 0.566244i | ||||
\(877\) | 26.9516 | + | 15.5605i | 0.910092 | + | 0.525442i | 0.880461 | − | 0.474119i | \(-0.157233\pi\) |
0.0296310 | + | 0.999561i | \(0.490567\pi\) | |||||||
\(878\) | − | 8.65914i | − | 0.292232i | ||||||
\(879\) | −32.0088 | + | 14.9713i | −1.07963 | + | 0.504968i | ||||
\(880\) | −16.8194 | − | 9.71067i | −0.566981 | − | 0.327347i | ||||
\(881\) | −11.3253 | + | 19.6159i | −0.381558 | + | 0.660877i | −0.991285 | − | 0.131734i | \(-0.957946\pi\) |
0.609727 | + | 0.792611i | \(0.291279\pi\) | |||||||
\(882\) | −9.96650 | + | 18.4843i | −0.335589 | + | 0.622398i | ||||
\(883\) | 17.1794 | 0.578133 | 0.289067 | − | 0.957309i | \(-0.406655\pi\) | ||||
0.289067 | + | 0.957309i | \(0.406655\pi\) | |||||||
\(884\) | −0.388635 | + | 0.575326i | −0.0130712 | + | 0.0193503i | ||||
\(885\) | 11.5671 | + | 24.7307i | 0.388823 | + | 0.831312i | ||||
\(886\) | −11.7488 | + | 6.78318i | −0.394709 | + | 0.227885i | ||||
\(887\) | 4.41565 | 0.148263 | 0.0741316 | − | 0.997248i | \(-0.476382\pi\) | ||||
0.0741316 | + | 0.997248i | \(0.476382\pi\) | |||||||
\(888\) | −0.849333 | + | 9.83954i | −0.0285017 | + | 0.330193i | ||||
\(889\) | 0.268756 | − | 0.0271426i | 0.00901378 | − | 0.000910334i | ||||
\(890\) | −4.65295 | − | 8.05915i | −0.155967 | − | 0.270143i | ||||
\(891\) | −7.25038 | − | 40.0305i | −0.242897 | − | 1.34107i | ||||
\(892\) | −3.67083 | + | 6.35806i | −0.122908 | + | 0.212884i | ||||
\(893\) | − | 16.9954i | − | 0.568728i | ||||||
\(894\) | −4.06027 | + | 5.81303i | −0.135796 | + | 0.194417i | ||||
\(895\) | 11.8484 | − | 20.5220i | 0.396048 | − | 0.685975i | ||||
\(896\) | 1.54641 | + | 2.14677i | 0.0516621 | + | 0.0717184i | ||||
\(897\) | −6.84383 | − | 5.53661i | −0.228509 | − | 0.184862i | ||||
\(898\) | 1.47204 | + | 2.54965i | 0.0491226 | + | 0.0850829i | ||||
\(899\) | 20.1232 | − | 11.6181i | 0.671147 | − | 0.387487i | ||||
\(900\) | 25.8848 | − | 30.9943i | 0.862827 | − | 1.03314i | ||||
\(901\) | −1.07695 | − | 0.621778i | −0.0358784 | − | 0.0207144i | ||||
\(902\) | 6.48828i | 0.216036i | ||||||||
\(903\) | 7.73535 | − | 13.8598i | 0.257416 | − | 0.461225i | ||||
\(904\) | −11.0639 | + | 6.38777i | −0.367981 | + | 0.212454i | ||||
\(905\) | −8.49877 | − | 14.7203i | −0.282509 | − | 0.489319i | ||||
\(906\) | −10.7388 | − | 7.50085i | −0.356774 | − | 0.249199i | ||||
\(907\) | 21.2778 | + | 36.8542i | 0.706517 | + | 1.22372i | 0.966141 | + | 0.258014i | \(0.0830679\pi\) |
−0.259624 | + | 0.965710i | \(0.583599\pi\) | |||||||
\(908\) | 21.5999i | 0.716816i | ||||||||
\(909\) | −0.0832453 | − | 0.227072i | −0.00276107 | − | 0.00753150i | ||||
\(910\) | −34.8615 | + | 21.5542i | −1.15565 | + | 0.714515i | ||||
\(911\) | 36.4179i | 1.20658i | 0.797522 | + | 0.603290i | \(0.206144\pi\) | ||||
−0.797522 | + | 0.603290i | \(0.793856\pi\) | |||||||
\(912\) | 1.67738 | − | 2.40148i | 0.0555437 | − | 0.0795211i | ||||
\(913\) | −16.2500 | + | 9.38191i | −0.537795 | + | 0.310496i | ||||
\(914\) | 16.7645i | 0.554522i | ||||||||
\(915\) | 60.1461 | + | 5.19171i | 1.98837 | + | 0.171633i | ||||
\(916\) | −5.53269 | − | 9.58290i | −0.182805 | − | 0.316628i | ||||
\(917\) | −1.62038 | + | 3.59995i | −0.0535096 | + | 0.118881i | ||||
\(918\) | −0.967380 | − | 0.255599i | −0.0319283 | − | 0.00843603i | ||||
\(919\) | 11.4827 | − | 19.8887i | 0.378781 | − | 0.656067i | −0.612105 | − | 0.790777i | \(-0.709677\pi\) |
0.990885 | + | 0.134710i | \(0.0430102\pi\) | |||||||
\(920\) | −3.02822 | − | 5.24504i | −0.0998376 | − | 0.172924i | ||||
\(921\) | −44.0067 | − | 3.79859i | −1.45007 | − | 0.125168i | ||||
\(922\) | −9.22401 | + | 5.32548i | −0.303776 | + | 0.175385i | ||||
\(923\) | −40.2249 | − | 2.84045i | −1.32402 | − | 0.0934945i | ||||
\(924\) | −10.0950 | + | 18.0877i | −0.332102 | + | 0.595043i | ||||
\(925\) | −66.4689 | − | 38.3758i | −2.18548 | − | 1.26179i | ||||
\(926\) | 22.5835i | 0.742140i | ||||||||
\(927\) | −29.4384 | + | 10.7922i | −0.966885 | + | 0.354463i | ||||
\(928\) | 8.66432 | + | 5.00235i | 0.284420 | + | 0.164210i | ||||
\(929\) | 19.6741 | + | 11.3588i | 0.645486 | + | 0.372671i | 0.786725 | − | 0.617304i | \(-0.211775\pi\) |
−0.141239 | + | 0.989976i | \(0.545109\pi\) | |||||||
\(930\) | −1.48640 | + | 17.2200i | −0.0487411 | + | 0.564666i | ||||
\(931\) | −7.84973 | − | 8.86193i | −0.257264 | − | 0.290438i | ||||
\(932\) | 5.93673 | − | 3.42758i | 0.194464 | − | 0.112274i | ||||
\(933\) | −17.1981 | + | 24.6223i | −0.563041 | + | 0.806097i | ||||
\(934\) | 14.0602 | + | 24.3530i | 0.460064 | + | 0.796854i | ||||
\(935\) | −3.23876 | − | 1.86990i | −0.105919 | − | 0.0611522i | ||||
\(936\) | −7.50112 | + | 7.79315i | −0.245182 | + | 0.254727i | ||||
\(937\) | − | 9.05679i | − | 0.295872i | −0.988997 | − | 0.147936i | \(-0.952737\pi\) | ||
0.988997 | − | 0.147936i | \(-0.0472630\pi\) | |||||||
\(938\) | −12.2024 | − | 5.49243i | −0.398422 | − | 0.179334i | ||||
\(939\) | 14.2095 | − | 6.64613i | 0.463711 | − | 0.216888i | ||||
\(940\) | −21.5884 | + | 37.3922i | −0.704136 | + | 1.21960i | ||||
\(941\) | 7.89775 | + | 4.55977i | 0.257459 | + | 0.148644i | 0.623175 | − | 0.782082i | \(-0.285842\pi\) |
−0.365716 | + | 0.930727i | \(0.619176\pi\) | |||||||
\(942\) | 7.26096 | + | 5.07162i | 0.236575 | + | 0.165242i | ||||
\(943\) | −1.01167 | + | 1.75226i | −0.0329445 | + | 0.0570615i | ||||
\(944\) | − | 3.66871i | − | 0.119406i | ||||||
\(945\) | −45.8828 | − | 37.1995i | −1.49257 | − | 1.21010i | ||||
\(946\) | 7.82812 | − | 13.5587i | 0.254514 | − | 0.440832i | ||||
\(947\) | −5.93223 | −0.192772 | −0.0963859 | − | 0.995344i | \(-0.530728\pi\) | ||||
−0.0963859 | + | 0.995344i | \(0.530728\pi\) | |||||||
\(948\) | 2.83369 | + | 6.05848i | 0.0920338 | + | 0.196770i | ||||
\(949\) | −18.6287 | − | 38.2608i | −0.604712 | − | 1.24200i | ||||
\(950\) | 11.3824 | + | 19.7149i | 0.369293 | + | 0.639635i | ||||
\(951\) | −7.29674 | − | 15.6006i | −0.236613 | − | 0.505884i | ||||
\(952\) | 0.297779 | + | 0.413384i | 0.00965109 | + | 0.0133978i | ||||
\(953\) | −26.0177 | + | 15.0213i | −0.842795 | + | 0.486588i | −0.858213 | − | 0.513293i | \(-0.828425\pi\) |
0.0154183 | + | 0.999881i | \(0.495092\pi\) | |||||||
\(954\) | −14.8702 | − | 12.4188i | −0.481440 | − | 0.402074i | ||||
\(955\) | 30.9414 | 1.00124 | ||||||||
\(956\) | −7.06260 | −0.228421 | ||||||||
\(957\) | −6.73618 | + | 78.0387i | −0.217750 | + | 2.52263i | ||||
\(958\) | 17.1627 | − | 9.90890i | 0.554502 | − | 0.320142i | ||||
\(959\) | −31.0965 | − | 43.1689i | −1.00416 | − | 1.39400i | ||||
\(960\) | −6.74097 | + | 3.15290i | −0.217564 | + | 0.101760i | ||||
\(961\) | 12.8029 | + | 22.1753i | 0.412997 | + | 0.715332i | ||||
\(962\) | 17.0362 | + | 11.5080i | 0.549268 | + | 0.371033i | ||||
\(963\) | 2.75751 | − | 15.8539i | 0.0888595 | − | 0.510885i | ||||
\(964\) | −19.7363 | −0.635664 | ||||||||
\(965\) | −44.1861 | + | 76.5326i | −1.42240 | + | 2.46367i | ||||
\(966\) | −5.54660 | + | 3.31084i | −0.178459 | + | 0.106524i | ||||
\(967\) | − | 43.9319i | − | 1.41275i | −0.707836 | − | 0.706377i | \(-0.750329\pi\) | ||
0.707836 | − | 0.706377i | \(-0.249671\pi\) | |||||||
\(968\) | −4.71610 | + | 8.16852i | −0.151581 | + | 0.262546i | ||||
\(969\) | 0.322999 | − | 0.462433i | 0.0103762 | − | 0.0148555i | ||||
\(970\) | 51.0904 | + | 29.4970i | 1.64041 | + | 0.947093i | ||||
\(971\) | −17.8895 | + | 30.9856i | −0.574102 | + | 0.994375i | 0.422036 | + | 0.906579i | \(0.361316\pi\) |
−0.996139 | + | 0.0877955i | \(0.972018\pi\) | |||||||
\(972\) | −14.1660 | − | 6.50581i | −0.454373 | − | 0.208674i | ||||
\(973\) | −39.9043 | − | 17.9614i | −1.27927 | − | 0.575816i | ||||
\(974\) | 25.5536i | 0.818790i | ||||||||
\(975\) | −30.1622 | − | 78.4632i | −0.965963 | − | 2.51283i | ||||
\(976\) | −7.02534 | − | 4.05608i | −0.224876 | − | 0.129832i | ||||
\(977\) | −10.4365 | − | 18.0765i | −0.333892 | − | 0.578318i | 0.649379 | − | 0.760465i | \(-0.275029\pi\) |
−0.983271 | + | 0.182147i | \(0.941695\pi\) | |||||||
\(978\) | −13.1247 | − | 9.16729i | −0.419681 | − | 0.293138i | ||||
\(979\) | −8.47862 | + | 4.89513i | −0.270978 | + | 0.156449i | ||||
\(980\) | 6.01363 | + | 29.4686i | 0.192098 | + | 0.941341i | ||||
\(981\) | 16.2636 | + | 13.5826i | 0.519258 | + | 0.433658i | ||||
\(982\) | −4.29900 | − | 2.48203i | −0.137187 | − | 0.0792048i | ||||
\(983\) | −1.08229 | − | 0.624859i | −0.0345196 | − | 0.0199299i | 0.482641 | − | 0.875818i | \(-0.339678\pi\) |
−0.517161 | + | 0.855888i | \(0.673011\pi\) | |||||||
\(984\) | 2.03822 | + | 1.42365i | 0.0649759 | + | 0.0453843i | ||||
\(985\) | − | 107.886i | − | 3.43754i | ||||||
\(986\) | 1.66841 | + | 0.963258i | 0.0531331 | + | 0.0306764i | ||||
\(987\) | 40.2120 | + | 22.4429i | 1.27996 | + | 0.714365i | ||||
\(988\) | −2.66935 | − | 5.48250i | −0.0849234 | − | 0.174421i | ||||
\(989\) | 4.22821 | − | 2.44116i | 0.134449 | − | 0.0776244i | ||||
\(990\) | −44.7197 | − | 37.3476i | −1.42129 | − | 1.18699i | ||||
\(991\) | −10.2983 | − | 17.8371i | −0.327135 | − | 0.566615i | 0.654807 | − | 0.755796i | \(-0.272750\pi\) |
−0.981942 | + | 0.189181i | \(0.939417\pi\) | |||||||
\(992\) | 1.16127 | − | 2.01138i | 0.0368703 | − | 0.0638613i | ||||
\(993\) | 39.3099 | + | 27.4571i | 1.24746 | + | 0.871325i | ||||
\(994\) | −12.1454 | + | 26.9831i | −0.385228 | + | 0.855852i | ||||
\(995\) | −15.9469 | − | 27.6208i | −0.505551 | − | 0.875640i | ||||
\(996\) | −0.618323 | + | 7.16329i | −0.0195923 | + | 0.226978i | ||||
\(997\) | − | 29.1413i | − | 0.922915i | −0.887162 | − | 0.461457i | \(-0.847327\pi\) | ||
0.887162 | − | 0.461457i | \(-0.152673\pi\) | |||||||
\(998\) | −7.88549 | + | 4.55269i | −0.249611 | + | 0.144113i | ||||
\(999\) | −7.56862 | + | 28.6454i | −0.239460 | + | 0.906299i |
(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 | 546.2.bi.f.17.1 | yes | 34 | |
3.2 | odd | 2 | 546.2.bi.e.17.5 | ✓ | 34 | ||
7.5 | odd | 6 | 546.2.bn.e.173.6 | yes | 34 | ||
13.10 | even | 6 | 546.2.bn.f.101.12 | yes | 34 | ||
21.5 | even | 6 | 546.2.bn.f.173.12 | yes | 34 | ||
39.23 | odd | 6 | 546.2.bn.e.101.6 | yes | 34 | ||
91.75 | odd | 6 | 546.2.bi.e.257.5 | yes | 34 | ||
273.257 | even | 6 | inner | 546.2.bi.f.257.1 | yes | 34 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
546.2.bi.e.17.5 | ✓ | 34 | 3.2 | odd | 2 | ||
546.2.bi.e.257.5 | yes | 34 | 91.75 | odd | 6 | ||
546.2.bi.f.17.1 | yes | 34 | 1.1 | even | 1 | trivial | |
546.2.bi.f.257.1 | yes | 34 | 273.257 | even | 6 | inner | |
546.2.bn.e.101.6 | yes | 34 | 39.23 | odd | 6 | ||
546.2.bn.e.173.6 | yes | 34 | 7.5 | odd | 6 | ||
546.2.bn.f.101.12 | yes | 34 | 13.10 | even | 6 | ||
546.2.bn.f.173.12 | yes | 34 | 21.5 | even | 6 |