Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [384,2,Mod(49,384)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(384, base_ring=CyclotomicField(8))
chi = DirichletCharacter(H, H._module([0, 5, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("384.49");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 384 = 2^{7} \cdot 3 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 384.n (of order \(8\), degree \(4\), not 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: | \(3.06625543762\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{8})\) |
Twist minimal: | no (minimal twist has level 96) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{8}]$ |
Embedding invariants
Embedding label | 337.5 | ||
Character | \(\chi\) | \(=\) | 384.337 |
Dual form | 384.2.n.a.49.5 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(133\) | \(257\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{3}{8}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | 0.923880 | + | 0.382683i | 0.533402 | + | 0.220942i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −1.48656 | − | 3.58888i | −0.664810 | − | 1.60499i | −0.790174 | − | 0.612883i | \(-0.790010\pi\) |
0.125364 | − | 0.992111i | \(-0.459990\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −1.03821 | + | 1.03821i | −0.392407 | + | 0.392407i | −0.875545 | − | 0.483137i | \(-0.839497\pi\) |
0.483137 | + | 0.875545i | \(0.339497\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 0.707107 | + | 0.707107i | 0.235702 | + | 0.235702i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 2.98911 | − | 1.23813i | 0.901252 | − | 0.373311i | 0.116550 | − | 0.993185i | \(-0.462816\pi\) |
0.784701 | + | 0.619874i | \(0.212816\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 1.33971 | − | 3.23434i | 0.371568 | − | 0.897045i | −0.621917 | − | 0.783083i | \(-0.713646\pi\) |
0.993485 | − | 0.113962i | \(-0.0363541\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | − | 3.88457i | − | 1.00299i | ||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | − | 5.31367i | − | 1.28876i | −0.764708 | − | 0.644378i | \(-0.777117\pi\) | ||
0.764708 | − | 0.644378i | \(-0.222883\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 0.339726 | − | 0.820171i | 0.0779385 | − | 0.188160i | −0.880108 | − | 0.474774i | \(-0.842530\pi\) |
0.958046 | + | 0.286614i | \(0.0925297\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −1.35649 | + | 0.561876i | −0.296010 | + | 0.122611i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −4.32186 | − | 4.32186i | −0.901171 | − | 0.901171i | 0.0943668 | − | 0.995537i | \(-0.469917\pi\) |
−0.995537 | + | 0.0943668i | \(0.969917\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −7.13463 | + | 7.13463i | −1.42693 | + | 1.42693i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 0.382683 | + | 0.923880i | 0.0736475 | + | 0.177801i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 5.78209 | + | 2.39502i | 1.07371 | + | 0.444744i | 0.848298 | − | 0.529520i | \(-0.177628\pi\) |
0.225410 | + | 0.974264i | \(0.427628\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 1.42287 | 0.255555 | 0.127777 | − | 0.991803i | \(-0.459216\pi\) | ||||
0.127777 | + | 0.991803i | \(0.459216\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 3.23539 | 0.563210 | ||||||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 5.26938 | + | 2.18265i | 0.890687 | + | 0.368935i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 0.646238 | + | 1.56016i | 0.106241 | + | 0.256488i | 0.968056 | − | 0.250735i | \(-0.0806721\pi\) |
−0.861815 | + | 0.507223i | \(0.830672\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 2.47546 | − | 2.47546i | 0.396390 | − | 0.396390i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 3.42644 | + | 3.42644i | 0.535120 | + | 0.535120i | 0.922092 | − | 0.386972i | \(-0.126479\pi\) |
−0.386972 | + | 0.922092i | \(0.626479\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −6.50505 | + | 2.69448i | −0.992010 | + | 0.410904i | −0.818861 | − | 0.573991i | \(-0.805394\pi\) |
−0.173149 | + | 0.984896i | \(0.555394\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 1.48656 | − | 3.58888i | 0.221603 | − | 0.534998i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 10.5764i | 1.54273i | 0.636391 | + | 0.771366i | \(0.280426\pi\) | ||||
−0.636391 | + | 0.771366i | \(0.719574\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 4.84423i | 0.692033i | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 2.03345 | − | 4.90919i | 0.284741 | − | 0.687425i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 6.63468 | − | 2.74817i | 0.911344 | − | 0.377491i | 0.122773 | − | 0.992435i | \(-0.460821\pi\) |
0.788571 | + | 0.614944i | \(0.210821\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −8.88700 | − | 8.88700i | −1.19832 | − | 1.19832i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 0.627732 | − | 0.627732i | 0.0831451 | − | 0.0831451i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 0.185450 | + | 0.447716i | 0.0241435 | + | 0.0582877i | 0.935492 | − | 0.353349i | \(-0.114957\pi\) |
−0.911348 | + | 0.411637i | \(0.864957\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −3.16624 | − | 1.31150i | −0.405396 | − | 0.167920i | 0.170662 | − | 0.985330i | \(-0.445410\pi\) |
−0.576057 | + | 0.817409i | \(0.695410\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −1.46825 | −0.184983 | ||||||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −13.5992 | −1.68677 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 6.09277 | + | 2.52371i | 0.744350 | + | 0.308320i | 0.722434 | − | 0.691440i | \(-0.243023\pi\) |
0.0219162 | + | 0.999760i | \(0.493023\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −2.33898 | − | 5.64679i | −0.281580 | − | 0.679793i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −2.91549 | + | 2.91549i | −0.346005 | + | 0.346005i | −0.858619 | − | 0.512614i | \(-0.828677\pi\) |
0.512614 | + | 0.858619i | \(0.328677\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 1.02065 | + | 1.02065i | 0.119458 | + | 0.119458i | 0.764309 | − | 0.644851i | \(-0.223080\pi\) |
−0.644851 | + | 0.764309i | \(0.723080\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −9.32184 | + | 3.86123i | −1.07639 | + | 0.445857i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −1.81789 | + | 4.38878i | −0.207168 | + | 0.500147i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 12.8099i | 1.44122i | 0.693338 | + | 0.720612i | \(0.256139\pi\) | ||||
−0.693338 | + | 0.720612i | \(0.743861\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 1.00000i | 0.111111i | ||||||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 6.41532 | − | 15.4879i | 0.704173 | − | 1.70002i | −0.00989955 | − | 0.999951i | \(-0.503151\pi\) |
0.714072 | − | 0.700072i | \(-0.246849\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −19.0701 | + | 7.89910i | −2.06844 | + | 0.856778i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 4.42542 | + | 4.42542i | 0.474455 | + | 0.474455i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −0.991462 | + | 0.991462i | −0.105095 | + | 0.105095i | −0.757699 | − | 0.652604i | \(-0.773676\pi\) |
0.652604 | + | 0.757699i | \(0.273676\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 1.96703 | + | 4.74883i | 0.206201 | + | 0.497813i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 1.31456 | + | 0.544508i | 0.136313 | + | 0.0564628i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −3.44851 | −0.353810 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 14.5301 | 1.47530 | 0.737652 | − | 0.675182i | \(-0.235935\pi\) | ||||
0.737652 | + | 0.675182i | \(0.235935\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 2.98911 | + | 1.23813i | 0.300417 | + | 0.124437i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 0.742560 | + | 1.79270i | 0.0738875 | + | 0.178380i | 0.956508 | − | 0.291706i | \(-0.0942229\pi\) |
−0.882621 | + | 0.470086i | \(0.844223\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 2.11500 | − | 2.11500i | 0.208397 | − | 0.208397i | −0.595189 | − | 0.803586i | \(-0.702923\pi\) |
0.803586 | + | 0.595189i | \(0.202923\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 4.03301 | + | 4.03301i | 0.393581 | + | 0.393581i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −4.62290 | + | 1.91487i | −0.446913 | + | 0.185117i | −0.594778 | − | 0.803890i | \(-0.702760\pi\) |
0.147865 | + | 0.989008i | \(0.452760\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 0.135885 | − | 0.328056i | 0.0130155 | − | 0.0314221i | −0.917238 | − | 0.398339i | \(-0.869587\pi\) |
0.930254 | + | 0.366917i | \(0.119587\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 1.68870i | 0.160284i | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | − | 2.38693i | − | 0.224543i | −0.993678 | − | 0.112272i | \(-0.964187\pi\) | ||
0.993678 | − | 0.112272i | \(-0.0358127\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −9.08591 | + | 21.9353i | −0.847266 | + | 2.04548i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 3.23434 | − | 1.33971i | 0.299015 | − | 0.123856i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 5.51672 | + | 5.51672i | 0.505717 | + | 0.505717i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −0.376343 | + | 0.376343i | −0.0342130 | + | 0.0342130i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 1.85438 | + | 4.47686i | 0.167203 | + | 0.403665i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 18.2670 | + | 7.56643i | 1.63385 | + | 0.676762i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 13.4220 | 1.19101 | 0.595507 | − | 0.803350i | \(-0.296951\pi\) | ||||
0.595507 | + | 0.803350i | \(0.296951\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −7.04101 | −0.619927 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −7.38818 | − | 3.06028i | −0.645508 | − | 0.267378i | 0.0358180 | − | 0.999358i | \(-0.488596\pi\) |
−0.681326 | + | 0.731980i | \(0.738596\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0.498804 | + | 1.20422i | 0.0432518 | + | 0.104419i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 2.74681 | − | 2.74681i | 0.236407 | − | 0.236407i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −10.6802 | − | 10.6802i | −0.912474 | − | 0.912474i | 0.0839927 | − | 0.996466i | \(-0.473233\pi\) |
−0.996466 | + | 0.0839927i | \(0.973233\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 4.00214 | − | 1.65774i | 0.339457 | − | 0.140608i | −0.206441 | − | 0.978459i | \(-0.566188\pi\) |
0.545899 | + | 0.837851i | \(0.316188\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −4.04743 | + | 9.77136i | −0.340855 | + | 0.822897i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | − | 11.3265i | − | 0.947173i | ||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | − | 24.3116i | − | 2.01896i | ||||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −1.85381 | + | 4.47549i | −0.152899 | + | 0.369132i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −17.5080 | + | 7.25206i | −1.43431 | + | 0.594112i | −0.958412 | − | 0.285387i | \(-0.907878\pi\) |
−0.475901 | + | 0.879499i | \(0.657878\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −1.13128 | − | 1.13128i | −0.0920621 | − | 0.0920621i | 0.659576 | − | 0.751638i | \(-0.270736\pi\) |
−0.751638 | + | 0.659576i | \(0.770736\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 3.75733 | − | 3.75733i | 0.303762 | − | 0.303762i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −2.11518 | − | 5.10649i | −0.169895 | − | 0.410163i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 1.69192 | + | 0.700815i | 0.135030 | + | 0.0559311i | 0.449175 | − | 0.893444i | \(-0.351718\pi\) |
−0.314145 | + | 0.949375i | \(0.601718\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 7.18133 | 0.569516 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 8.97402 | 0.707252 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −20.1880 | − | 8.36212i | −1.58124 | − | 0.654972i | −0.592632 | − | 0.805473i | \(-0.701911\pi\) |
−0.988610 | + | 0.150501i | \(0.951911\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −4.80961 | − | 11.6114i | −0.374428 | − | 0.903948i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 2.40472 | − | 2.40472i | 0.186083 | − | 0.186083i | −0.607917 | − | 0.794000i | \(-0.707995\pi\) |
0.794000 | + | 0.607917i | \(0.207995\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 0.526247 | + | 0.526247i | 0.0404805 | + | 0.0404805i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 0.820171 | − | 0.339726i | 0.0627200 | − | 0.0259795i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −3.78491 | + | 9.13758i | −0.287761 | + | 0.694717i | −0.999974 | − | 0.00724669i | \(-0.997693\pi\) |
0.712212 | + | 0.701964i | \(0.247693\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | − | 14.8145i | − | 1.11987i | ||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 0.484604i | 0.0364251i | ||||||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 7.05680 | − | 17.0366i | 0.527450 | − | 1.27338i | −0.405738 | − | 0.913989i | \(-0.632985\pi\) |
0.933188 | − | 0.359388i | \(-0.117015\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 17.3885 | − | 7.20257i | 1.29248 | − | 0.535363i | 0.372757 | − | 0.927929i | \(-0.378413\pi\) |
0.919724 | + | 0.392566i | \(0.128413\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −2.42334 | − | 2.42334i | −0.179138 | − | 0.179138i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 4.63854 | − | 4.63854i | 0.341032 | − | 0.341032i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −6.57903 | − | 15.8832i | −0.481106 | − | 1.16149i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −1.35649 | − | 0.561876i | −0.0986701 | − | 0.0408705i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −9.91467 | −0.717400 | −0.358700 | − | 0.933453i | \(-0.616780\pi\) | ||||
−0.358700 | + | 0.933453i | \(0.616780\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 9.84834 | 0.708899 | 0.354450 | − | 0.935075i | \(-0.384668\pi\) | ||||
0.354450 | + | 0.935075i | \(0.384668\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −12.5640 | − | 5.20419i | −0.899728 | − | 0.372680i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 5.46439 | + | 13.1922i | 0.389322 | + | 0.939905i | 0.990084 | + | 0.140478i | \(0.0448638\pi\) |
−0.600762 | + | 0.799428i | \(0.705136\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 6.14473 | − | 6.14473i | 0.435588 | − | 0.435588i | −0.454936 | − | 0.890524i | \(-0.650338\pi\) |
0.890524 | + | 0.454936i | \(0.150338\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 4.66320 | + | 4.66320i | 0.328917 | + | 0.328917i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −8.48958 | + | 3.51650i | −0.595852 | + | 0.246810i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 7.20345 | − | 17.3907i | 0.503111 | − | 1.21462i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | − | 6.11204i | − | 0.424816i | ||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | − | 2.87221i | − | 0.198675i | ||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 4.14085 | − | 9.99689i | 0.285068 | − | 0.688214i | −0.714871 | − | 0.699256i | \(-0.753515\pi\) |
0.999939 | + | 0.0110418i | \(0.00351479\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −3.80927 | + | 1.57785i | −0.261007 | + | 0.108113i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 19.3403 | + | 19.3403i | 1.31900 | + | 1.31900i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −1.47724 | + | 1.47724i | −0.100281 | + | 0.100281i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 0.552372 | + | 1.33355i | 0.0373259 | + | 0.0901126i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −17.1862 | − | 7.11877i | −1.15607 | − | 0.478860i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 14.1199 | 0.945540 | 0.472770 | − | 0.881186i | \(-0.343254\pi\) | ||||
0.472770 | + | 0.881186i | \(0.343254\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −10.0899 | −0.672659 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 16.8836 | + | 6.99343i | 1.12061 | + | 0.464170i | 0.864578 | − | 0.502499i | \(-0.167586\pi\) |
0.256029 | + | 0.966669i | \(0.417586\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 3.92011 | + | 9.46398i | 0.259048 | + | 0.625397i | 0.998876 | − | 0.0473987i | \(-0.0150931\pi\) |
−0.739828 | + | 0.672796i | \(0.765093\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −3.35902 | + | 3.35902i | −0.221008 | + | 0.221008i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 3.06027 | + | 3.06027i | 0.200485 | + | 0.200485i | 0.800208 | − | 0.599723i | \(-0.204722\pi\) |
−0.599723 | + | 0.800208i | \(0.704722\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 37.9575 | − | 15.7225i | 2.47608 | − | 1.02562i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −4.90213 | + | 11.8348i | −0.318428 | + | 0.768752i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 0.210325i | 0.0136048i | 0.999977 | + | 0.00680240i | \(0.00216529\pi\) | ||||
−0.999977 | + | 0.00680240i | \(0.997835\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 13.0724i | 0.842068i | 0.907045 | + | 0.421034i | \(0.138333\pi\) | ||||
−0.907045 | + | 0.421034i | \(0.861667\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −0.382683 | + | 0.923880i | −0.0245492 | + | 0.0592669i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 17.3853 | − | 7.20125i | 1.11071 | − | 0.460071i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −2.19758 | − | 2.19758i | −0.139829 | − | 0.139829i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 11.8540 | − | 11.8540i | 0.751214 | − | 0.751214i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 1.21528 | + | 2.93395i | 0.0767079 | + | 0.185189i | 0.957582 | − | 0.288162i | \(-0.0930442\pi\) |
−0.880874 | + | 0.473351i | \(0.843044\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −18.2696 | − | 7.56751i | −1.14860 | − | 0.475765i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −20.6413 | −1.29261 | ||||||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 2.57305 | 0.160502 | 0.0802512 | − | 0.996775i | \(-0.474428\pi\) | ||||
0.0802512 | + | 0.996775i | \(0.474428\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −2.29071 | − | 0.948841i | −0.142338 | − | 0.0589581i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 2.39502 | + | 5.78209i | 0.148248 | + | 0.357903i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −12.8467 | + | 12.8467i | −0.792159 | + | 0.792159i | −0.981845 | − | 0.189686i | \(-0.939253\pi\) |
0.189686 | + | 0.981845i | \(0.439253\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −19.7257 | − | 19.7257i | −1.21174 | − | 1.21174i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −1.29541 | + | 0.536575i | −0.0792776 | + | 0.0328379i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 3.18478 | − | 7.68874i | 0.194180 | − | 0.468791i | −0.796561 | − | 0.604558i | \(-0.793350\pi\) |
0.990741 | + | 0.135767i | \(0.0433499\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 29.7589i | 1.80772i | 0.427823 | + | 0.903862i | \(0.359281\pi\) | ||||
−0.427823 | + | 0.903862i | \(0.640719\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 5.14010i | 0.311093i | ||||||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −12.4926 | + | 30.1598i | −0.753333 | + | 1.81871i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 13.4191 | − | 5.55836i | 0.806274 | − | 0.333970i | 0.0588078 | − | 0.998269i | \(-0.481270\pi\) |
0.747466 | + | 0.664300i | \(0.231270\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 1.00612 | + | 1.00612i | 0.0602348 | + | 0.0602348i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 0.428981 | − | 0.428981i | 0.0255909 | − | 0.0255909i | −0.694196 | − | 0.719786i | \(-0.744240\pi\) |
0.719786 | + | 0.694196i | \(0.244240\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −10.2786 | − | 24.8146i | −0.610997 | − | 1.47508i | −0.861907 | − | 0.507067i | \(-0.830730\pi\) |
0.250910 | − | 0.968010i | \(-0.419270\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −3.18601 | − | 1.31969i | −0.188723 | − | 0.0781716i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −7.11474 | −0.419970 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −11.2351 | −0.660890 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 13.4240 | + | 5.56041i | 0.786930 | + | 0.325957i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −4.95811 | − | 11.9699i | −0.289656 | − | 0.699292i | 0.710333 | − | 0.703865i | \(-0.248544\pi\) |
−0.999990 | + | 0.00457366i | \(0.998544\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 1.33111 | − | 1.33111i | 0.0775005 | − | 0.0775005i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 2.28777 | + | 2.28777i | 0.132750 | + | 0.132750i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −19.7684 | + | 8.18834i | −1.14324 | + | 0.473544i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 3.95618 | − | 9.55106i | 0.228030 | − | 0.550514i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 1.94040i | 0.111473i | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 13.3129i | 0.762293i | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −8.37498 | + | 20.2190i | −0.477985 | + | 1.15396i | 0.482567 | + | 0.875859i | \(0.339704\pi\) |
−0.960552 | + | 0.278099i | \(0.910296\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 2.76338 | − | 1.14463i | 0.157203 | − | 0.0651157i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −5.71820 | − | 5.71820i | −0.324249 | − | 0.324249i | 0.526145 | − | 0.850395i | \(-0.323637\pi\) |
−0.850395 | + | 0.526145i | \(0.823637\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 11.6027 | − | 11.6027i | 0.655823 | − | 0.655823i | −0.298566 | − | 0.954389i | \(-0.596508\pi\) |
0.954389 | + | 0.298566i | \(0.0965083\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 2.18265 | + | 5.26938i | 0.122978 | + | 0.296896i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −19.5616 | − | 8.10268i | −1.09869 | − | 0.455092i | −0.241660 | − | 0.970361i | \(-0.577692\pi\) |
−0.857028 | + | 0.515269i | \(0.827692\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 20.2487 | 1.13371 | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −5.00379 | −0.279284 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −4.35812 | − | 1.80519i | −0.242492 | − | 0.100444i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 13.5175 | + | 32.6341i | 0.749816 | + | 1.81022i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 0.251083 | − | 0.251083i | 0.0138849 | − | 0.0138849i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −10.9806 | − | 10.9806i | −0.605379 | − | 0.605379i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −0.922294 | + | 0.382027i | −0.0506939 | + | 0.0209981i | −0.407886 | − | 0.913033i | \(-0.633734\pi\) |
0.357192 | + | 0.934031i | \(0.383734\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −0.646238 | + | 1.56016i | −0.0354136 | + | 0.0854961i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | − | 25.6178i | − | 1.39965i | ||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 32.5245i | 1.77172i | 0.463949 | + | 0.885862i | \(0.346432\pi\) | ||||
−0.463949 | + | 0.885862i | \(0.653568\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 0.913437 | − | 2.20523i | 0.0496111 | − | 0.119772i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 4.25311 | − | 1.76170i | 0.230319 | − | 0.0954012i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −12.2968 | − | 12.2968i | −0.663966 | − | 0.663966i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −16.7886 | + | 16.7886i | −0.903867 | + | 0.903867i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 11.0057 | + | 26.5700i | 0.590815 | + | 1.42635i | 0.882717 | + | 0.469906i | \(0.155712\pi\) |
−0.291901 | + | 0.956448i | \(0.594288\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −6.12429 | − | 2.53676i | −0.327826 | − | 0.135790i | 0.212700 | − | 0.977118i | \(-0.431774\pi\) |
−0.540525 | + | 0.841328i | \(0.681774\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 3.50082 | 0.186860 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −27.1372 | −1.44437 | −0.722185 | − | 0.691700i | \(-0.756862\pi\) | ||||
−0.722185 | + | 0.691700i | \(0.756862\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 14.7974 | + | 6.12928i | 0.785364 | + | 0.325309i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 2.98563 | + | 7.20794i | 0.158016 | + | 0.381485i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 6.86522 | − | 6.86522i | 0.362332 | − | 0.362332i | −0.502339 | − | 0.864671i | \(-0.667527\pi\) |
0.864671 | + | 0.502339i | \(0.167527\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 12.8778 | + | 12.8778i | 0.677777 | + | 0.677777i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −0.491715 | + | 0.203675i | −0.0258084 | + | 0.0106902i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 2.14573 | − | 5.18025i | 0.112313 | − | 0.271147i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | − | 32.3050i | − | 1.68631i | −0.537671 | − | 0.843154i | \(-0.680696\pi\) | ||
0.537671 | − | 0.843154i | \(-0.319304\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 4.84572i | 0.252258i | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −4.03502 | + | 9.74139i | −0.209488 | + | 0.505748i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 1.12962 | − | 0.467902i | 0.0584893 | − | 0.0242271i | −0.353247 | − | 0.935530i | \(-0.614922\pi\) |
0.411736 | + | 0.911303i | \(0.364922\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 13.9809 | + | 13.9809i | 0.721973 | + | 0.721973i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 15.4926 | − | 15.4926i | 0.797911 | − | 0.797911i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 12.6694 | + | 30.5866i | 0.650783 | + | 1.57113i | 0.811644 | + | 0.584152i | \(0.198573\pi\) |
−0.160861 | + | 0.986977i | \(0.551427\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 12.4004 | + | 5.13640i | 0.635289 | + | 0.263145i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −9.01248 | −0.460516 | −0.230258 | − | 0.973130i | \(-0.573957\pi\) | ||||
−0.230258 | + | 0.973130i | \(0.573957\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 18.4532 | 0.940461 | ||||||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −6.50505 | − | 2.69448i | −0.330670 | − | 0.136968i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −0.147171 | − | 0.355303i | −0.00746188 | − | 0.0180146i | 0.920105 | − | 0.391673i | \(-0.128103\pi\) |
−0.927567 | + | 0.373658i | \(0.878103\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −22.9650 | + | 22.9650i | −1.16139 | + | 1.16139i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −5.65467 | − | 5.65467i | −0.285240 | − | 0.285240i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 45.9731 | − | 19.0427i | 2.31316 | − | 0.958141i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −10.7013 | + | 25.8353i | −0.537084 | + | 1.29664i | 0.389666 | + | 0.920956i | \(0.372591\pi\) |
−0.926750 | + | 0.375679i | \(0.877409\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 1.30344i | 0.0652535i | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 39.5351i | 1.97429i | 0.159825 | + | 0.987145i | \(0.448907\pi\) | ||||
−0.159825 | + | 0.987145i | \(0.551093\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 1.90623 | − | 4.60204i | 0.0949559 | − | 0.229244i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 3.58888 | − | 1.48656i | 0.178333 | − | 0.0738678i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 3.86336 | + | 3.86336i | 0.191500 | + | 0.191500i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −16.6530 | + | 16.6530i | −0.823439 | + | 0.823439i | −0.986600 | − | 0.163160i | \(-0.947831\pi\) |
0.163160 | + | 0.986600i | \(0.447831\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −5.78010 | − | 13.9544i | −0.285111 | − | 0.688319i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −0.657361 | − | 0.272288i | −0.0323466 | − | 0.0133984i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −65.1211 | −3.19667 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 4.33189 | 0.212133 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −30.2809 | − | 12.5428i | −1.47932 | − | 0.612754i | −0.510356 | − | 0.859963i | \(-0.670486\pi\) |
−0.968962 | + | 0.247210i | \(0.920486\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −14.0297 | − | 33.8706i | −0.683764 | − | 1.65075i | −0.756981 | − | 0.653436i | \(-0.773327\pi\) |
0.0732174 | − | 0.997316i | \(-0.476673\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −7.47867 | + | 7.47867i | −0.363626 | + | 0.363626i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 37.9111 | + | 37.9111i | 1.83896 | + | 1.83896i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 4.64885 | − | 1.92561i | 0.224973 | − | 0.0931870i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 4.33448 | − | 10.4644i | 0.209271 | − | 0.505224i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 11.0244i | 0.531027i | 0.964107 | + | 0.265513i | \(0.0855414\pi\) | ||||
−0.964107 | + | 0.265513i | \(0.914459\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | − | 26.0973i | − | 1.25416i | −0.778956 | − | 0.627079i | \(-0.784250\pi\) | ||
0.778956 | − | 0.627079i | \(-0.215750\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 9.30363 | − | 22.4609i | 0.446075 | − | 1.07692i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −5.01291 | + | 2.07642i | −0.239800 | + | 0.0993285i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 9.89316 | + | 9.89316i | 0.472175 | + | 0.472175i | 0.902618 | − | 0.430443i | \(-0.141643\pi\) |
−0.430443 | + | 0.902618i | \(0.641643\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −3.42539 | + | 3.42539i | −0.163114 | + | 0.163114i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −7.29919 | − | 17.6218i | −0.346795 | − | 0.837237i | −0.996994 | − | 0.0774732i | \(-0.975315\pi\) |
0.650200 | − | 0.759763i | \(-0.274685\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 5.03210 | + | 2.08436i | 0.238544 | + | 0.0988083i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −18.9505 | −0.896330 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 7.16414 | 0.338096 | 0.169048 | − | 0.985608i | \(-0.445931\pi\) | ||||
0.169048 | + | 0.985608i | \(0.445931\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 14.4844 | + | 5.99964i | 0.682044 | + | 0.282512i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −0.612243 | − | 1.47809i | −0.0287657 | − | 0.0694465i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 14.1189 | − | 14.1189i | 0.661902 | − | 0.661902i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −15.2704 | − | 15.2704i | −0.714317 | − | 0.714317i | 0.253118 | − | 0.967435i | \(-0.418544\pi\) |
−0.967435 | + | 0.253118i | \(0.918544\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 4.90919 | − | 2.03345i | 0.229142 | − | 0.0949135i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −5.40240 | + | 13.0425i | −0.251615 | + | 0.607452i | −0.998335 | − | 0.0576867i | \(-0.981628\pi\) |
0.746720 | + | 0.665139i | \(0.231628\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | − | 13.5410i | − | 0.629305i | −0.949207 | − | 0.314652i | \(-0.898112\pi\) | ||
0.949207 | − | 0.314652i | \(-0.101888\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | − | 5.52723i | − | 0.256319i | ||||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −6.18122 | + | 14.9228i | −0.286033 | + | 0.690544i | −0.999953 | − | 0.00968289i | \(-0.996918\pi\) |
0.713920 | + | 0.700227i | \(0.246918\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −8.94573 | + | 3.70544i | −0.413075 | + | 0.171101i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 1.29494 | + | 1.29494i | 0.0596676 | + | 0.0596676i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −16.1082 | + | 16.1082i | −0.740656 | + | 0.740656i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 3.42780 | + | 8.27543i | 0.157278 | + | 0.379703i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 6.63468 | + | 2.74817i | 0.303781 | + | 0.125830i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 6.44443 | 0.294453 | 0.147227 | − | 0.989103i | \(-0.452965\pi\) | ||||
0.147227 | + | 0.989103i | \(0.452965\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 5.91185 | 0.269557 | ||||||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 8.29091 | + | 3.43421i | 0.377250 | + | 0.156262i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −21.5998 | − | 52.1465i | −0.980797 | − | 2.36785i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −4.42962 | + | 4.42962i | −0.200725 | + | 0.200725i | −0.800311 | − | 0.599585i | \(-0.795332\pi\) |
0.599585 | + | 0.800311i | \(0.295332\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −15.4512 | − | 15.4512i | −0.698727 | − | 0.698727i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 11.7801 | − | 4.87947i | 0.531628 | − | 0.220207i | −0.100688 | − | 0.994918i | \(-0.532104\pi\) |
0.632316 | + | 0.774711i | \(0.282104\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 12.7264 | − | 30.7242i | 0.573167 | − | 1.38375i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | − | 12.5681i | − | 0.564895i | ||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | − | 6.05380i | − | 0.271550i | ||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −2.23679 | + | 5.40009i | −0.100132 | + | 0.241741i | −0.966005 | − | 0.258524i | \(-0.916764\pi\) |
0.865873 | + | 0.500265i | \(0.166764\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 3.14192 | − | 1.30143i | 0.140371 | − | 0.0581434i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −2.89565 | − | 2.89565i | −0.129111 | − | 0.129111i | 0.639598 | − | 0.768709i | \(-0.279101\pi\) |
−0.768709 | + | 0.639598i | \(0.779101\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 5.32991 | − | 5.32991i | 0.237178 | − | 0.237178i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 0.284803 | + | 0.687575i | 0.0126485 | + | 0.0305363i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 5.36042 | + | 2.22036i | 0.237596 | + | 0.0984156i | 0.498305 | − | 0.867002i | \(-0.333956\pi\) |
−0.260708 | + | 0.965418i | \(0.583956\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −2.11930 | −0.0937525 | ||||||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 0.887747 | 0.0391950 | ||||||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −10.7345 | − | 4.44639i | −0.473020 | − | 0.195931i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 13.0950 | + | 31.6142i | 0.575919 | + | 1.39039i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −6.99360 | + | 6.99360i | −0.306985 | + | 0.306985i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 18.2831 | + | 18.2831i | 0.800998 | + | 0.800998i | 0.983252 | − | 0.182254i | \(-0.0583392\pi\) |
−0.182254 | + | 0.983252i | \(0.558339\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 5.66441 | − | 2.34627i | 0.247687 | − | 0.102595i | −0.255386 | − | 0.966839i | \(-0.582203\pi\) |
0.503073 | + | 0.864244i | \(0.332203\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 5.66927 | − | 13.6868i | 0.247427 | − | 0.597342i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | − | 7.56065i | − | 0.329347i | ||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 14.3570i | 0.624217i | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −0.185450 | + | 0.447716i | −0.00804785 | + | 0.0194292i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 15.6727 | − | 6.49185i | 0.678860 | − | 0.281193i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 13.7445 | + | 13.7445i | 0.594224 | + | 0.594224i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 13.0393 | − | 13.0393i | 0.562686 | − | 0.562686i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 5.99780 | + | 14.4800i | 0.258343 | + | 0.623696i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 5.96613 | + | 2.47125i | 0.256504 | + | 0.106247i | 0.507230 | − | 0.861811i | \(-0.330669\pi\) |
−0.250726 | + | 0.968058i | \(0.580669\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 18.8212 | 0.807696 | ||||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −1.37936 | −0.0590851 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −32.5453 | − | 13.4807i | −1.39154 | − | 0.576393i | −0.443996 | − | 0.896029i | \(-0.646440\pi\) |
−0.947541 | + | 0.319635i | \(0.896440\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −1.31150 | − | 3.16624i | −0.0559735 | − | 0.135132i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 3.92865 | − | 3.92865i | 0.167366 | − | 0.167366i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −13.2994 | − | 13.2994i | −0.565547 | − | 0.565547i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 6.06054 | − | 2.51036i | 0.257256 | − | 0.106559i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −6.30768 | + | 15.2281i | −0.267265 | + | 0.645235i | −0.999353 | − | 0.0359756i | \(-0.988546\pi\) |
0.732088 | + | 0.681210i | \(0.238546\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 24.6494i | 1.04256i | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | − | 17.1918i | − | 0.725839i | ||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 3.06528 | − | 7.40024i | 0.129186 | − | 0.311883i | −0.846031 | − | 0.533134i | \(-0.821014\pi\) |
0.975217 | + | 0.221251i | \(0.0710141\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −8.56638 | + | 3.54831i | −0.360390 | + | 0.149279i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −1.03821 | − | 1.03821i | −0.0436008 | − | 0.0436008i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 17.9001 | − | 17.9001i | 0.750410 | − | 0.750410i | −0.224146 | − | 0.974556i | \(-0.571959\pi\) |
0.974556 | + | 0.224146i | \(0.0719591\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 2.41948 | + | 5.84113i | 0.101252 | + | 0.244444i | 0.966385 | − | 0.257098i | \(-0.0827663\pi\) |
−0.865133 | + | 0.501542i | \(0.832766\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −9.15996 | − | 3.79418i | −0.382663 | − | 0.158504i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 61.6698 | 2.57181 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −24.5768 | −1.02314 | −0.511572 | − | 0.859240i | \(-0.670937\pi\) | ||||
−0.511572 | + | 0.859240i | \(0.670937\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 9.09868 | + | 3.76880i | 0.378128 | + | 0.156626i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 9.41931 | + | 22.7402i | 0.390779 | + | 0.943424i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 16.4292 | − | 16.4292i | 0.680429 | − | 0.680429i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −9.61609 | − | 9.61609i | −0.397576 | − | 0.397576i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −29.2268 | + | 12.1061i | −1.20632 | + | 0.499674i | −0.893036 | − | 0.449985i | \(-0.851429\pi\) |
−0.313284 | + | 0.949659i | \(0.601429\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 0.483385 | − | 1.16699i | 0.0199175 | − | 0.0480852i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 14.2791i | 0.587365i | ||||||||
\(592\) | 0 | 0 | ||||||||
\(593\) | − | 20.8403i | − | 0.855810i | −0.903824 | − | 0.427905i | \(-0.859252\pi\) | ||
0.903824 | − | 0.427905i | \(-0.140748\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 11.5979 | − | 27.9998i | 0.475467 | − | 1.14788i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 8.02847 | − | 3.32550i | 0.328584 | − | 0.136104i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −31.6901 | − | 31.6901i | −1.29482 | − | 1.29482i | −0.931768 | − | 0.363053i | \(-0.881734\pi\) |
−0.363053 | − | 0.931768i | \(-0.618266\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −12.9864 | + | 12.9864i | −0.529726 | + | 0.529726i | −0.920491 | − | 0.390764i | \(-0.872211\pi\) |
0.390764 | + | 0.920491i | \(0.372211\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 2.52371 | + | 6.09277i | 0.102773 | + | 0.248117i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 1.91010 | + | 0.791190i | 0.0776567 | + | 0.0321665i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 7.55886 | 0.306805 | 0.153402 | − | 0.988164i | \(-0.450977\pi\) | ||||
0.153402 | + | 0.988164i | \(0.450977\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −9.18905 | −0.372359 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 34.2078 | + | 14.1693i | 1.38390 | + | 0.573230i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −5.16053 | − | 12.4586i | −0.208432 | − | 0.503199i | 0.784745 | − | 0.619819i | \(-0.212794\pi\) |
−0.993177 | + | 0.116620i | \(0.962794\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 13.3102 | − | 13.3102i | 0.536721 | − | 0.536721i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −23.7425 | − | 23.7425i | −0.955835 | − | 0.955835i | 0.0432297 | − | 0.999065i | \(-0.486235\pi\) |
−0.999065 | + | 0.0432297i | \(0.986235\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −37.9338 | + | 15.7127i | −1.52469 | + | 0.631547i | −0.978524 | − | 0.206131i | \(-0.933913\pi\) |
−0.546165 | + | 0.837678i | \(0.683913\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 2.33898 | − | 5.64679i | 0.0938598 | − | 0.226598i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | − | 2.05869i | − | 0.0824798i | ||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | − | 26.3564i | − | 1.05426i | ||||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 1.09915 | − | 2.65358i | 0.0438957 | − | 0.105974i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 8.29016 | − | 3.43390i | 0.330551 | − | 0.136919i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 5.63001 | + | 5.63001i | 0.224127 | + | 0.224127i | 0.810234 | − | 0.586107i | \(-0.199340\pi\) |
−0.586107 | + | 0.810234i | \(0.699340\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 7.65129 | − | 7.65129i | 0.304111 | − | 0.304111i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −19.9527 | − | 48.1701i | −0.791798 | − | 1.91157i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 15.6679 | + | 6.48986i | 0.620785 | + | 0.257137i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −4.12313 | −0.163108 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 36.4242 | 1.43867 | 0.719334 | − | 0.694664i | \(-0.244447\pi\) | ||||
0.719334 | + | 0.694664i | \(0.244447\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 22.9769 | + | 9.51734i | 0.906120 | + | 0.375327i | 0.786570 | − | 0.617501i | \(-0.211855\pi\) |
0.119550 | + | 0.992828i | \(0.461855\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 10.4669 | + | 25.2693i | 0.412133 | + | 0.994978i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 34.0895 | − | 34.0895i | 1.34020 | − | 1.34020i | 0.444336 | − | 0.895860i | \(-0.353440\pi\) |
0.895860 | − | 0.444336i | \(-0.146560\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 1.10866 | + | 1.10866i | 0.0435188 | + | 0.0435188i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −1.93010 | + | 0.799475i | −0.0756468 | + | 0.0313339i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 11.4288 | − | 27.5915i | 0.447243 | − | 1.07974i | −0.526108 | − | 0.850418i | \(-0.676349\pi\) |
0.973351 | − | 0.229322i | \(-0.0736508\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 31.0645i | 1.21379i | ||||||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 1.44342i | 0.0563131i | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 4.60322 | − | 11.1132i | 0.179316 | − | 0.432907i | −0.808507 | − | 0.588486i | \(-0.799724\pi\) |
0.987824 | + | 0.155579i | \(0.0497242\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −18.8580 | + | 7.81122i | −0.733490 | + | 0.303821i | −0.717985 | − | 0.696058i | \(-0.754935\pi\) |
−0.0155046 | + | 0.999880i | \(0.504935\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −13.1538 | − | 13.1538i | −0.510850 | − | 0.510850i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 3.58029 | − | 3.58029i | 0.138838 | − | 0.138838i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −14.6385 | − | 35.3404i | −0.566803 | − | 1.36838i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 13.0451 | + | 5.40346i | 0.504353 | + | 0.208910i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −11.0881 | −0.428050 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −46.7689 | −1.80281 | −0.901404 | − | 0.432979i | \(-0.857463\pi\) | ||||
−0.901404 | + | 0.432979i | \(0.857463\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −9.32184 | − | 3.86123i | −0.358798 | − | 0.148619i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −7.05433 | − | 17.0307i | −0.271120 | − | 0.654541i | 0.728412 | − | 0.685140i | \(-0.240259\pi\) |
−0.999532 | + | 0.0305981i | \(0.990259\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −15.0853 | + | 15.0853i | −0.578920 | + | 0.578920i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 12.9222 | + | 12.9222i | 0.495179 | + | 0.495179i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −36.1287 | + | 14.9650i | −1.38243 | + | 0.572620i | −0.945129 | − | 0.326697i | \(-0.894064\pi\) |
−0.437297 | + | 0.899317i | \(0.644064\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −22.4532 | + | 54.2068i | −0.857893 | + | 2.07114i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 10.2437i | 0.390823i | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | − | 25.1406i | − | 0.957779i | ||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 11.2605 | − | 27.1853i | 0.428371 | − | 1.03418i | −0.551434 | − | 0.834219i | \(-0.685919\pi\) |
0.979804 | − | 0.199959i | \(-0.0640810\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −4.38878 | + | 1.81789i | −0.166716 | + | 0.0690560i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −11.8989 | − | 11.8989i | −0.451349 | − | 0.451349i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 18.2070 | − | 18.2070i | 0.689639 | − | 0.689639i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 1.65621 | + | 3.99844i | 0.0626435 | + | 0.151235i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −21.0746 | − | 8.72940i | −0.795978 | − | 0.329705i | −0.0526339 | − | 0.998614i | \(-0.516762\pi\) |
−0.743344 | + | 0.668909i | \(0.766762\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 1.49914 | 0.0565411 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 41.0849 | 1.54735 | ||||||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −2.63214 | − | 1.09027i | −0.0989917 | − | 0.0410037i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 0.617186 | + | 1.49002i | 0.0231789 | + | 0.0559588i | 0.935045 | − | 0.354528i | \(-0.115359\pi\) |
−0.911866 | + | 0.410487i | \(0.865359\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −9.05796 | + | 9.05796i | −0.339700 | + | 0.339700i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −6.14944 | − | 6.14944i | −0.230298 | − | 0.230298i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −40.6496 | + | 16.8376i | −1.52021 | + | 0.629691i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −0.0804880 | + | 0.194315i | −0.00300588 | + | 0.00725683i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | − | 11.8288i | − | 0.441140i | −0.975371 | − | 0.220570i | \(-0.929208\pi\) | ||
0.975371 | − | 0.220570i | \(-0.0707917\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 4.39163i | 0.163553i | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −5.00259 | + | 12.0773i | −0.186048 | + | 0.449161i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −58.3407 | + | 24.1655i | −2.16672 | + | 0.897484i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 12.9471 | + | 12.9471i | 0.480182 | + | 0.480182i | 0.905190 | − | 0.425008i | \(-0.139729\pi\) |
−0.425008 | + | 0.905190i | \(0.639729\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −0.707107 | + | 0.707107i | −0.0261891 | + | 0.0261891i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 14.3176 | + | 34.5657i | 0.529555 | + | 1.27846i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 8.82183 | + | 3.65412i | 0.325842 | + | 0.134968i | 0.539607 | − | 0.841917i | \(-0.318573\pi\) |
−0.213765 | + | 0.976885i | \(0.568573\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 18.8178 | 0.694104 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 21.3367 | 0.785946 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −2.54866 | − | 1.05569i | −0.0937540 | − | 0.0388342i | 0.335313 | − | 0.942107i | \(-0.391158\pi\) |
−0.429068 | + | 0.903272i | \(0.641158\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −1.18932 | − | 2.87127i | −0.0436908 | − | 0.105479i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −14.0090 | + | 14.0090i | −0.513942 | + | 0.513942i | −0.915732 | − | 0.401790i | \(-0.868388\pi\) |
0.401790 | + | 0.915732i | \(0.368388\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 52.0535 | + | 52.0535i | 1.90709 | + | 1.90709i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 15.4879 | − | 6.41532i | 0.566674 | − | 0.234724i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 2.81151 | − | 6.78759i | 0.102730 | − | 0.248013i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 1.69567i | 0.0618757i | 0.999521 | + | 0.0309379i | \(0.00984940\pi\) | ||||
−0.999521 | + | 0.0309379i | \(0.990151\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 3.17568i | 0.115728i | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −2.37830 | + | 5.74173i | −0.0865553 | + | 0.208963i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 21.3707 | − | 8.85204i | 0.776731 | − | 0.321733i | 0.0411358 | − | 0.999154i | \(-0.486902\pi\) |
0.735596 | + | 0.677421i | \(0.236902\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −13.9829 | − | 13.9829i | −0.507548 | − | 0.507548i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −16.4756 | + | 16.4756i | −0.597239 | + | 0.597239i | −0.939577 | − | 0.342338i | \(-0.888781\pi\) |
0.342338 | + | 0.939577i | \(0.388781\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 0.199514 | + | 0.481670i | 0.00722290 | + | 0.0174376i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −19.0701 | − | 7.89910i | −0.689481 | − | 0.285593i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 1.69652 | 0.0612576 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −10.8924 | −0.392791 | −0.196395 | − | 0.980525i | \(-0.562924\pi\) | ||||
−0.196395 | + | 0.980525i | \(0.562924\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 2.37719 | + | 0.984663i | 0.0856123 | + | 0.0354618i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 19.5101 | + | 47.1015i | 0.701728 | + | 1.69412i | 0.719701 | + | 0.694284i | \(0.244279\pi\) |
−0.0179727 | + | 0.999838i | \(0.505721\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −10.1516 | + | 10.1516i | −0.364657 | + | 0.364657i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −1.75323 | − | 1.75323i | −0.0628968 | − | 0.0628968i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 3.97432 | − | 1.64622i | 0.142395 | − | 0.0589818i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −5.10498 | + | 12.3245i | −0.182670 | + | 0.441005i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 6.25849i | 0.223660i | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | − | 7.11388i | − | 0.253905i | ||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −10.4222 | + | 25.1613i | −0.371510 | + | 0.896905i | 0.621985 | + | 0.783029i | \(0.286327\pi\) |
−0.993495 | + | 0.113876i | \(0.963673\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −16.7850 | + | 6.95257i | −0.597561 | + | 0.247518i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 2.47814 | + | 2.47814i | 0.0881124 | + | 0.0881124i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −8.48368 | + | 8.48368i | −0.301264 | + | 0.301264i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −10.6755 | − | 25.7729i | −0.378620 | − | 0.914070i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 11.4090 | + | 4.72576i | 0.404128 | + | 0.167395i | 0.575482 | − | 0.817814i | \(-0.304814\pi\) |
−0.171355 | + | 0.985209i | \(0.554814\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 56.1998 | 1.98820 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −1.40214 | −0.0495421 | ||||||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 4.31454 | + | 1.78714i | 0.152257 | + | 0.0630669i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −13.3404 | − | 32.2066i | −0.470188 | − | 1.13513i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 5.88471 | − | 5.88471i | 0.207152 | − | 0.207152i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 15.5322 | + | 15.5322i | 0.546082 | + | 0.546082i | 0.925305 | − | 0.379223i | \(-0.123809\pi\) |
−0.379223 | + | 0.925305i | \(0.623809\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 10.1946 | − | 4.22272i | 0.357979 | − | 0.148280i | −0.196443 | − | 0.980515i | \(-0.562939\pi\) |
0.554423 | + | 0.832235i | \(0.312939\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −11.3882 | + | 27.4936i | −0.399403 | + | 0.964244i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 84.8828i | 2.97332i | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 6.25063i | 0.218682i | ||||||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −1.96703 | + | 4.74883i | −0.0687336 | + | 0.165938i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −26.9571 | + | 11.1660i | −0.940808 | + | 0.389695i | −0.799768 | − | 0.600309i | \(-0.795044\pi\) |
−0.141039 | + | 0.990004i | \(0.545044\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −14.3701 | − | 14.3701i | −0.500911 | − | 0.500911i | 0.410810 | − | 0.911721i | \(-0.365246\pi\) |
−0.911721 | + | 0.410810i | \(0.865246\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −23.0833 | + | 23.0833i | −0.803658 | + | 0.803658i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 1.27090 | + | 3.06822i | 0.0441935 | + | 0.106693i | 0.944435 | − | 0.328699i | \(-0.106610\pi\) |
−0.900241 | + | 0.435391i | \(0.856610\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 44.8916 | + | 18.5947i | 1.55915 | + | 0.645821i | 0.984941 | − | 0.172889i | \(-0.0553103\pi\) |
0.574207 | + | 0.818710i | \(0.305310\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 14.5247 | 0.503856 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 25.7407 | 0.891861 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −12.2050 | − | 5.05548i | −0.422372 | − | 0.174952i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 0.544508 | + | 1.31456i | 0.0188209 | + | 0.0454378i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −1.80010 | + | 1.80010i | −0.0621465 | + | 0.0621465i | −0.737497 | − | 0.675350i | \(-0.763992\pi\) |
0.675350 | + | 0.737497i | \(0.263992\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 7.19038 | + | 7.19038i | 0.247944 | + | 0.247944i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 0.560491 | − | 0.232163i | 0.0193043 | − | 0.00799612i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 1.10634 | − | 2.67093i | 0.0380591 | − | 0.0918829i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | − | 0.781447i | − | 0.0268508i | ||||||
\(848\) | 0 | 0 | ||||||||
\(849\) | − | 26.8592i | − | 0.921804i | ||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 3.94983 | − | 9.53574i | 0.135398 | − | 0.326881i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −13.8932 | + | 5.75474i | −0.475693 | + | 0.197039i | −0.607631 | − | 0.794219i | \(-0.707880\pi\) |
0.131938 | + | 0.991258i | \(0.457880\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −2.43847 | − | 2.43847i | −0.0833938 | − | 0.0833938i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −31.5080 | + | 31.5080i | −1.07629 | + | 1.07629i | −0.0794556 | + | 0.996838i | \(0.525318\pi\) |
−0.996838 | + | 0.0794556i | \(0.974682\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 7.59894 | + | 18.3455i | 0.259272 | + | 0.625939i | 0.998891 | − | 0.0470875i | \(-0.0149940\pi\) |
−0.739618 | + | 0.673027i | \(0.764994\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −6.57316 | − | 2.72269i | −0.224013 | − | 0.0927891i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −1.95965 | −0.0667073 | −0.0333537 | − | 0.999444i | \(-0.510619\pi\) | ||||
−0.0333537 | + | 0.999444i | \(0.510619\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 38.4201 | 1.30632 | ||||||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −10.3799 | − | 4.29950i | −0.352520 | − | 0.146019i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 15.8603 | + | 38.2902i | 0.538025 | + | 1.29891i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 16.3251 | − | 16.3251i | 0.553154 | − | 0.553154i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 10.2743 | + | 10.2743i | 0.347732 | + | 0.347732i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −26.8205 | + | 11.1094i | −0.906700 | + | 0.375567i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −8.40988 | + | 20.3033i | −0.283982 | + | 0.685592i | −0.999921 | − | 0.0125703i | \(-0.995999\pi\) |
0.715939 | + | 0.698162i | \(0.245999\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | − | 12.9562i | − | 0.437001i | ||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | − | 8.86541i | − | 0.298683i | −0.988786 | − | 0.149342i | \(-0.952285\pi\) | ||
0.988786 | − | 0.149342i | \(-0.0477154\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 9.81319 | − | 23.6911i | 0.330240 | − | 0.797270i | −0.668333 | − | 0.743863i | \(-0.732992\pi\) |
0.998573 | − | 0.0534078i | \(-0.0170083\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 1.73918 | − | 0.720394i | 0.0584621 | − | 0.0242158i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 40.7094 | + | 40.7094i | 1.36689 | + | 1.36689i | 0.864839 | + | 0.502050i | \(0.167421\pi\) |
0.502050 | + | 0.864839i | \(0.332579\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −13.9349 | + | 13.9349i | −0.467362 | + | 0.467362i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 1.23813 | + | 2.98911i | 0.0414790 | + | 0.100139i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 8.67449 | + | 3.59309i | 0.290281 | + | 0.120238i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −71.6327 | −2.39442 | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −21.3972 | −0.714431 | ||||||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 8.22715 | + | 3.40780i | 0.274391 | + | 0.113656i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −14.6029 | − | 35.2545i | −0.486493 | − | 1.17450i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 7.31006 | − | 7.31006i | 0.243264 | − | 0.243264i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −51.6983 | − | 51.6983i | −1.71851 | − | 1.71851i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −20.7020 | + | 8.57503i | −0.687397 | + | 0.284729i | −0.698915 | − | 0.715204i | \(-0.746334\pi\) |
0.0115180 | + | 0.999934i | \(0.496334\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −0.742560 | + | 1.79270i | −0.0246292 | + | 0.0594601i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | − | 49.0914i | − | 1.62647i | −0.581935 | − | 0.813235i | \(-0.697704\pi\) | ||
0.581935 | − | 0.813235i | \(-0.302296\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | − | 54.2382i | − | 1.79502i | ||||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −5.09462 | + | 12.2995i | −0.168423 | + | 0.406609i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 10.8477 | − | 4.49327i | 0.358223 | − | 0.148381i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −26.2568 | − | 26.2568i | −0.866131 | − | 0.866131i | 0.125910 | − | 0.992042i | \(-0.459815\pi\) |
−0.992042 | + | 0.125910i | \(0.959815\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −15.4749 | + | 15.4749i | −0.509917 | + | 0.509917i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 5.52379 | + | 13.3356i | 0.181818 | + | 0.438947i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −15.7418 | − | 6.52047i | −0.517588 | − | 0.214392i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 2.99106 | 0.0982393 | ||||||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 9.33360 | 0.306225 | 0.153113 | − | 0.988209i | \(-0.451070\pi\) | ||||
0.153113 | + | 0.988209i | \(0.451070\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 3.97310 | + | 1.64571i | 0.130213 | + | 0.0539360i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −3.09467 | − | 7.47119i | −0.101315 | − | 0.244596i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −47.2226 | + | 47.2226i | −1.54434 | + | 1.54434i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −26.9828 | − | 26.9828i | −0.881491 | − | 0.881491i | 0.112195 | − | 0.993686i | \(-0.464212\pi\) |
−0.993686 | + | 0.112195i | \(0.964212\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 15.1596 | − | 6.27933i | 0.494716 | − | 0.204918i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 20.9573 | − | 50.5954i | 0.683188 | − | 1.64936i | −0.0748852 | − | 0.997192i | \(-0.523859\pi\) |
0.758073 | − | 0.652169i | \(-0.226141\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | − | 29.6172i | − | 0.964469i | ||||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 5.70353i | 0.185536i | ||||||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −7.14980 | + | 17.2611i | −0.232337 | + | 0.560912i | −0.996451 | − | 0.0841692i | \(-0.973176\pi\) |
0.764114 | + | 0.645081i | \(0.223176\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 4.66851 | − | 1.93376i | 0.151546 | − | 0.0627725i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −14.9718 | − | 14.9718i | −0.485494 | − | 0.485494i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −18.0649 | + | 18.0649i | −0.585181 | + | 0.585181i | −0.936322 | − | 0.351142i | \(-0.885794\pi\) |
0.351142 | + | 0.936322i | \(0.385794\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 14.7388 | + | 35.5825i | 0.476935 | + | 1.15142i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 18.7073 | + | 7.74884i | 0.604723 | + | 0.250484i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 22.1767 | 0.716122 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −28.9754 | −0.934692 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −4.62290 | − | 1.91487i | −0.148971 | − | 0.0617058i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −14.6402 | − | 35.3445i | −0.471283 | − | 1.13778i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 35.9715 | − | 35.9715i | 1.15677 | − | 1.15677i | 0.171599 | − | 0.985167i | \(-0.445107\pi\) |
0.985167 | − | 0.171599i | \(-0.0548934\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −3.33556 | − | 3.33556i | −0.107154 | − | 0.107154i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 21.1238 | − | 8.74978i | 0.677896 | − | 0.280794i | −0.0170508 | − | 0.999855i | \(-0.505428\pi\) |
0.694947 | + | 0.719061i | \(0.255428\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −2.43398 | + | 5.87616i | −0.0780300 | + | 0.188381i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 35.3229i | 1.13124i | ||||||||
\(976\) | 0 | 0 | ||||||||
\(977\) | − | 14.2027i | − | 0.454386i | −0.973850 | − | 0.227193i | \(-0.927045\pi\) | ||
0.973850 | − | 0.227193i | \(-0.0729548\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −1.73603 | + | 4.19115i | −0.0554838 | + | 0.133950i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 0.328056 | − | 0.135885i | 0.0104740 | − | 0.00433849i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 25.7336 | + | 25.7336i | 0.820775 | + | 0.820775i | 0.986219 | − | 0.165444i | \(-0.0529059\pi\) |
−0.165444 | + | 0.986219i | \(0.552906\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 39.2220 | − | 39.2220i | 1.24972 | − | 1.24972i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −5.94265 | − | 14.3468i | −0.189157 | − | 0.456665i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 39.7591 | + | 16.4688i | 1.26427 | + | 0.523676i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 13.6553 | 0.433776 | 0.216888 | − | 0.976197i | \(-0.430409\pi\) | ||||
0.216888 | + | 0.976197i | \(0.430409\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −0.998284 | −0.0316796 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −31.1872 | − | 12.9181i | −0.988700 | − | 0.409533i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −8.35787 | − | 20.1777i | −0.264696 | − | 0.639033i | 0.734521 | − | 0.678586i | \(-0.237407\pi\) |
−0.999218 | + | 0.0395523i | \(0.987407\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −1.19409 | + | 1.19409i | −0.0377794 | + | 0.0377794i |
(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 | 384.2.n.a.337.5 | 32 | ||
3.2 | odd | 2 | 1152.2.v.c.721.8 | 32 | |||
4.3 | odd | 2 | 96.2.n.a.61.3 | ✓ | 32 | ||
8.3 | odd | 2 | 768.2.n.a.673.8 | 32 | |||
8.5 | even | 2 | 768.2.n.b.673.4 | 32 | |||
12.11 | even | 2 | 288.2.v.d.253.6 | 32 | |||
32.5 | even | 8 | 768.2.n.b.97.4 | 32 | |||
32.11 | odd | 8 | 96.2.n.a.85.3 | yes | 32 | ||
32.21 | even | 8 | inner | 384.2.n.a.49.5 | 32 | ||
32.27 | odd | 8 | 768.2.n.a.97.8 | 32 | |||
96.11 | even | 8 | 288.2.v.d.181.6 | 32 | |||
96.53 | odd | 8 | 1152.2.v.c.433.8 | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
96.2.n.a.61.3 | ✓ | 32 | 4.3 | odd | 2 | ||
96.2.n.a.85.3 | yes | 32 | 32.11 | odd | 8 | ||
288.2.v.d.181.6 | 32 | 96.11 | even | 8 | |||
288.2.v.d.253.6 | 32 | 12.11 | even | 2 | |||
384.2.n.a.49.5 | 32 | 32.21 | even | 8 | inner | ||
384.2.n.a.337.5 | 32 | 1.1 | even | 1 | trivial | ||
768.2.n.a.97.8 | 32 | 32.27 | odd | 8 | |||
768.2.n.a.673.8 | 32 | 8.3 | odd | 2 | |||
768.2.n.b.97.4 | 32 | 32.5 | even | 8 | |||
768.2.n.b.673.4 | 32 | 8.5 | even | 2 | |||
1152.2.v.c.433.8 | 32 | 96.53 | odd | 8 | |||
1152.2.v.c.721.8 | 32 | 3.2 | odd | 2 |