Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [930,2,Mod(559,930)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(930, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([0, 1, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("930.559");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 930.d (of order \(2\), degree \(1\), 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: | \(7.42608738798\) |
Analytic rank: | \(0\) |
Dimension: | \(2\) |
Coefficient field: | \(\Q(i)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{2} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 559.2 | ||
Root | \(1.00000i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 930.559 |
Dual form | 930.2.d.e.559.1 |
$q$-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 \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).
\(n\) | \(187\) | \(311\) | \(871\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.00000i | 0.707107i | ||||||||
\(3\) | − | 1.00000i | − | 0.577350i | ||||||
\(4\) | −1.00000 | −0.500000 | ||||||||
\(5\) | 2.00000 | + | 1.00000i | 0.894427 | + | 0.447214i | ||||
\(6\) | 1.00000 | 0.408248 | ||||||||
\(7\) | 2.00000i | 0.755929i | 0.925820 | + | 0.377964i | \(0.123376\pi\) | ||||
−0.925820 | + | 0.377964i | \(0.876624\pi\) | |||||||
\(8\) | − | 1.00000i | − | 0.353553i | ||||||
\(9\) | −1.00000 | −0.333333 | ||||||||
\(10\) | −1.00000 | + | 2.00000i | −0.316228 | + | 0.632456i | ||||
\(11\) | −6.00000 | −1.80907 | −0.904534 | − | 0.426401i | \(-0.859781\pi\) | ||||
−0.904534 | + | 0.426401i | \(0.859781\pi\) | |||||||
\(12\) | 1.00000i | 0.288675i | ||||||||
\(13\) | 2.00000i | 0.554700i | 0.960769 | + | 0.277350i | \(0.0894562\pi\) | ||||
−0.960769 | + | 0.277350i | \(0.910544\pi\) | |||||||
\(14\) | −2.00000 | −0.534522 | ||||||||
\(15\) | 1.00000 | − | 2.00000i | 0.258199 | − | 0.516398i | ||||
\(16\) | 1.00000 | 0.250000 | ||||||||
\(17\) | 6.00000i | 1.45521i | 0.685994 | + | 0.727607i | \(0.259367\pi\) | ||||
−0.685994 | + | 0.727607i | \(0.740633\pi\) | |||||||
\(18\) | − | 1.00000i | − | 0.235702i | ||||||
\(19\) | −8.00000 | −1.83533 | −0.917663 | − | 0.397360i | \(-0.869927\pi\) | ||||
−0.917663 | + | 0.397360i | \(0.869927\pi\) | |||||||
\(20\) | −2.00000 | − | 1.00000i | −0.447214 | − | 0.223607i | ||||
\(21\) | 2.00000 | 0.436436 | ||||||||
\(22\) | − | 6.00000i | − | 1.27920i | ||||||
\(23\) | − | 4.00000i | − | 0.834058i | −0.908893 | − | 0.417029i | \(-0.863071\pi\) | ||
0.908893 | − | 0.417029i | \(-0.136929\pi\) | |||||||
\(24\) | −1.00000 | −0.204124 | ||||||||
\(25\) | 3.00000 | + | 4.00000i | 0.600000 | + | 0.800000i | ||||
\(26\) | −2.00000 | −0.392232 | ||||||||
\(27\) | 1.00000i | 0.192450i | ||||||||
\(28\) | − | 2.00000i | − | 0.377964i | ||||||
\(29\) | 4.00000 | 0.742781 | 0.371391 | − | 0.928477i | \(-0.378881\pi\) | ||||
0.371391 | + | 0.928477i | \(0.378881\pi\) | |||||||
\(30\) | 2.00000 | + | 1.00000i | 0.365148 | + | 0.182574i | ||||
\(31\) | −1.00000 | −0.179605 | ||||||||
\(32\) | 1.00000i | 0.176777i | ||||||||
\(33\) | 6.00000i | 1.04447i | ||||||||
\(34\) | −6.00000 | −1.02899 | ||||||||
\(35\) | −2.00000 | + | 4.00000i | −0.338062 | + | 0.676123i | ||||
\(36\) | 1.00000 | 0.166667 | ||||||||
\(37\) | 2.00000i | 0.328798i | 0.986394 | + | 0.164399i | \(0.0525685\pi\) | ||||
−0.986394 | + | 0.164399i | \(0.947432\pi\) | |||||||
\(38\) | − | 8.00000i | − | 1.29777i | ||||||
\(39\) | 2.00000 | 0.320256 | ||||||||
\(40\) | 1.00000 | − | 2.00000i | 0.158114 | − | 0.316228i | ||||
\(41\) | 2.00000 | 0.312348 | 0.156174 | − | 0.987730i | \(-0.450084\pi\) | ||||
0.156174 | + | 0.987730i | \(0.450084\pi\) | |||||||
\(42\) | 2.00000i | 0.308607i | ||||||||
\(43\) | 4.00000i | 0.609994i | 0.952353 | + | 0.304997i | \(0.0986555\pi\) | ||||
−0.952353 | + | 0.304997i | \(0.901344\pi\) | |||||||
\(44\) | 6.00000 | 0.904534 | ||||||||
\(45\) | −2.00000 | − | 1.00000i | −0.298142 | − | 0.149071i | ||||
\(46\) | 4.00000 | 0.589768 | ||||||||
\(47\) | 8.00000i | 1.16692i | 0.812142 | + | 0.583460i | \(0.198301\pi\) | ||||
−0.812142 | + | 0.583460i | \(0.801699\pi\) | |||||||
\(48\) | − | 1.00000i | − | 0.144338i | ||||||
\(49\) | 3.00000 | 0.428571 | ||||||||
\(50\) | −4.00000 | + | 3.00000i | −0.565685 | + | 0.424264i | ||||
\(51\) | 6.00000 | 0.840168 | ||||||||
\(52\) | − | 2.00000i | − | 0.277350i | ||||||
\(53\) | − | 10.0000i | − | 1.37361i | −0.726844 | − | 0.686803i | \(-0.759014\pi\) | ||
0.726844 | − | 0.686803i | \(-0.240986\pi\) | |||||||
\(54\) | −1.00000 | −0.136083 | ||||||||
\(55\) | −12.0000 | − | 6.00000i | −1.61808 | − | 0.809040i | ||||
\(56\) | 2.00000 | 0.267261 | ||||||||
\(57\) | 8.00000i | 1.05963i | ||||||||
\(58\) | 4.00000i | 0.525226i | ||||||||
\(59\) | −6.00000 | −0.781133 | −0.390567 | − | 0.920575i | \(-0.627721\pi\) | ||||
−0.390567 | + | 0.920575i | \(0.627721\pi\) | |||||||
\(60\) | −1.00000 | + | 2.00000i | −0.129099 | + | 0.258199i | ||||
\(61\) | −14.0000 | −1.79252 | −0.896258 | − | 0.443533i | \(-0.853725\pi\) | ||||
−0.896258 | + | 0.443533i | \(0.853725\pi\) | |||||||
\(62\) | − | 1.00000i | − | 0.127000i | ||||||
\(63\) | − | 2.00000i | − | 0.251976i | ||||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | −2.00000 | + | 4.00000i | −0.248069 | + | 0.496139i | ||||
\(66\) | −6.00000 | −0.738549 | ||||||||
\(67\) | 4.00000i | 0.488678i | 0.969690 | + | 0.244339i | \(0.0785709\pi\) | ||||
−0.969690 | + | 0.244339i | \(0.921429\pi\) | |||||||
\(68\) | − | 6.00000i | − | 0.727607i | ||||||
\(69\) | −4.00000 | −0.481543 | ||||||||
\(70\) | −4.00000 | − | 2.00000i | −0.478091 | − | 0.239046i | ||||
\(71\) | 16.0000 | 1.89885 | 0.949425 | − | 0.313993i | \(-0.101667\pi\) | ||||
0.949425 | + | 0.313993i | \(0.101667\pi\) | |||||||
\(72\) | 1.00000i | 0.117851i | ||||||||
\(73\) | 8.00000i | 0.936329i | 0.883641 | + | 0.468165i | \(0.155085\pi\) | ||||
−0.883641 | + | 0.468165i | \(0.844915\pi\) | |||||||
\(74\) | −2.00000 | −0.232495 | ||||||||
\(75\) | 4.00000 | − | 3.00000i | 0.461880 | − | 0.346410i | ||||
\(76\) | 8.00000 | 0.917663 | ||||||||
\(77\) | − | 12.0000i | − | 1.36753i | ||||||
\(78\) | 2.00000i | 0.226455i | ||||||||
\(79\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(80\) | 2.00000 | + | 1.00000i | 0.223607 | + | 0.111803i | ||||
\(81\) | 1.00000 | 0.111111 | ||||||||
\(82\) | 2.00000i | 0.220863i | ||||||||
\(83\) | 4.00000i | 0.439057i | 0.975606 | + | 0.219529i | \(0.0704519\pi\) | ||||
−0.975606 | + | 0.219529i | \(0.929548\pi\) | |||||||
\(84\) | −2.00000 | −0.218218 | ||||||||
\(85\) | −6.00000 | + | 12.0000i | −0.650791 | + | 1.30158i | ||||
\(86\) | −4.00000 | −0.431331 | ||||||||
\(87\) | − | 4.00000i | − | 0.428845i | ||||||
\(88\) | 6.00000i | 0.639602i | ||||||||
\(89\) | −10.0000 | −1.06000 | −0.529999 | − | 0.847998i | \(-0.677808\pi\) | ||||
−0.529999 | + | 0.847998i | \(0.677808\pi\) | |||||||
\(90\) | 1.00000 | − | 2.00000i | 0.105409 | − | 0.210819i | ||||
\(91\) | −4.00000 | −0.419314 | ||||||||
\(92\) | 4.00000i | 0.417029i | ||||||||
\(93\) | 1.00000i | 0.103695i | ||||||||
\(94\) | −8.00000 | −0.825137 | ||||||||
\(95\) | −16.0000 | − | 8.00000i | −1.64157 | − | 0.820783i | ||||
\(96\) | 1.00000 | 0.102062 | ||||||||
\(97\) | 16.0000i | 1.62455i | 0.583272 | + | 0.812277i | \(0.301772\pi\) | ||||
−0.583272 | + | 0.812277i | \(0.698228\pi\) | |||||||
\(98\) | 3.00000i | 0.303046i | ||||||||
\(99\) | 6.00000 | 0.603023 | ||||||||
\(100\) | −3.00000 | − | 4.00000i | −0.300000 | − | 0.400000i | ||||
\(101\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(102\) | 6.00000i | 0.594089i | ||||||||
\(103\) | 6.00000i | 0.591198i | 0.955312 | + | 0.295599i | \(0.0955191\pi\) | ||||
−0.955312 | + | 0.295599i | \(0.904481\pi\) | |||||||
\(104\) | 2.00000 | 0.196116 | ||||||||
\(105\) | 4.00000 | + | 2.00000i | 0.390360 | + | 0.195180i | ||||
\(106\) | 10.0000 | 0.971286 | ||||||||
\(107\) | − | 4.00000i | − | 0.386695i | −0.981130 | − | 0.193347i | \(-0.938066\pi\) | ||
0.981130 | − | 0.193347i | \(-0.0619344\pi\) | |||||||
\(108\) | − | 1.00000i | − | 0.0962250i | ||||||
\(109\) | −2.00000 | −0.191565 | −0.0957826 | − | 0.995402i | \(-0.530535\pi\) | ||||
−0.0957826 | + | 0.995402i | \(0.530535\pi\) | |||||||
\(110\) | 6.00000 | − | 12.0000i | 0.572078 | − | 1.14416i | ||||
\(111\) | 2.00000 | 0.189832 | ||||||||
\(112\) | 2.00000i | 0.188982i | ||||||||
\(113\) | − | 18.0000i | − | 1.69330i | −0.532152 | − | 0.846649i | \(-0.678617\pi\) | ||
0.532152 | − | 0.846649i | \(-0.321383\pi\) | |||||||
\(114\) | −8.00000 | −0.749269 | ||||||||
\(115\) | 4.00000 | − | 8.00000i | 0.373002 | − | 0.746004i | ||||
\(116\) | −4.00000 | −0.371391 | ||||||||
\(117\) | − | 2.00000i | − | 0.184900i | ||||||
\(118\) | − | 6.00000i | − | 0.552345i | ||||||
\(119\) | −12.0000 | −1.10004 | ||||||||
\(120\) | −2.00000 | − | 1.00000i | −0.182574 | − | 0.0912871i | ||||
\(121\) | 25.0000 | 2.27273 | ||||||||
\(122\) | − | 14.0000i | − | 1.26750i | ||||||
\(123\) | − | 2.00000i | − | 0.180334i | ||||||
\(124\) | 1.00000 | 0.0898027 | ||||||||
\(125\) | 2.00000 | + | 11.0000i | 0.178885 | + | 0.983870i | ||||
\(126\) | 2.00000 | 0.178174 | ||||||||
\(127\) | − | 2.00000i | − | 0.177471i | −0.996055 | − | 0.0887357i | \(-0.971717\pi\) | ||
0.996055 | − | 0.0887357i | \(-0.0282826\pi\) | |||||||
\(128\) | − | 1.00000i | − | 0.0883883i | ||||||
\(129\) | 4.00000 | 0.352180 | ||||||||
\(130\) | −4.00000 | − | 2.00000i | −0.350823 | − | 0.175412i | ||||
\(131\) | 10.0000 | 0.873704 | 0.436852 | − | 0.899533i | \(-0.356093\pi\) | ||||
0.436852 | + | 0.899533i | \(0.356093\pi\) | |||||||
\(132\) | − | 6.00000i | − | 0.522233i | ||||||
\(133\) | − | 16.0000i | − | 1.38738i | ||||||
\(134\) | −4.00000 | −0.345547 | ||||||||
\(135\) | −1.00000 | + | 2.00000i | −0.0860663 | + | 0.172133i | ||||
\(136\) | 6.00000 | 0.514496 | ||||||||
\(137\) | − | 14.0000i | − | 1.19610i | −0.801459 | − | 0.598050i | \(-0.795942\pi\) | ||
0.801459 | − | 0.598050i | \(-0.204058\pi\) | |||||||
\(138\) | − | 4.00000i | − | 0.340503i | ||||||
\(139\) | 20.0000 | 1.69638 | 0.848189 | − | 0.529694i | \(-0.177693\pi\) | ||||
0.848189 | + | 0.529694i | \(0.177693\pi\) | |||||||
\(140\) | 2.00000 | − | 4.00000i | 0.169031 | − | 0.338062i | ||||
\(141\) | 8.00000 | 0.673722 | ||||||||
\(142\) | 16.0000i | 1.34269i | ||||||||
\(143\) | − | 12.0000i | − | 1.00349i | ||||||
\(144\) | −1.00000 | −0.0833333 | ||||||||
\(145\) | 8.00000 | + | 4.00000i | 0.664364 | + | 0.332182i | ||||
\(146\) | −8.00000 | −0.662085 | ||||||||
\(147\) | − | 3.00000i | − | 0.247436i | ||||||
\(148\) | − | 2.00000i | − | 0.164399i | ||||||
\(149\) | 12.0000 | 0.983078 | 0.491539 | − | 0.870855i | \(-0.336434\pi\) | ||||
0.491539 | + | 0.870855i | \(0.336434\pi\) | |||||||
\(150\) | 3.00000 | + | 4.00000i | 0.244949 | + | 0.326599i | ||||
\(151\) | 8.00000 | 0.651031 | 0.325515 | − | 0.945537i | \(-0.394462\pi\) | ||||
0.325515 | + | 0.945537i | \(0.394462\pi\) | |||||||
\(152\) | 8.00000i | 0.648886i | ||||||||
\(153\) | − | 6.00000i | − | 0.485071i | ||||||
\(154\) | 12.0000 | 0.966988 | ||||||||
\(155\) | −2.00000 | − | 1.00000i | −0.160644 | − | 0.0803219i | ||||
\(156\) | −2.00000 | −0.160128 | ||||||||
\(157\) | − | 6.00000i | − | 0.478852i | −0.970915 | − | 0.239426i | \(-0.923041\pi\) | ||
0.970915 | − | 0.239426i | \(-0.0769593\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −10.0000 | −0.793052 | ||||||||
\(160\) | −1.00000 | + | 2.00000i | −0.0790569 | + | 0.158114i | ||||
\(161\) | 8.00000 | 0.630488 | ||||||||
\(162\) | 1.00000i | 0.0785674i | ||||||||
\(163\) | 20.0000i | 1.56652i | 0.621694 | + | 0.783260i | \(0.286445\pi\) | ||||
−0.621694 | + | 0.783260i | \(0.713555\pi\) | |||||||
\(164\) | −2.00000 | −0.156174 | ||||||||
\(165\) | −6.00000 | + | 12.0000i | −0.467099 | + | 0.934199i | ||||
\(166\) | −4.00000 | −0.310460 | ||||||||
\(167\) | − | 12.0000i | − | 0.928588i | −0.885681 | − | 0.464294i | \(-0.846308\pi\) | ||
0.885681 | − | 0.464294i | \(-0.153692\pi\) | |||||||
\(168\) | − | 2.00000i | − | 0.154303i | ||||||
\(169\) | 9.00000 | 0.692308 | ||||||||
\(170\) | −12.0000 | − | 6.00000i | −0.920358 | − | 0.460179i | ||||
\(171\) | 8.00000 | 0.611775 | ||||||||
\(172\) | − | 4.00000i | − | 0.304997i | ||||||
\(173\) | − | 14.0000i | − | 1.06440i | −0.846619 | − | 0.532200i | \(-0.821365\pi\) | ||
0.846619 | − | 0.532200i | \(-0.178635\pi\) | |||||||
\(174\) | 4.00000 | 0.303239 | ||||||||
\(175\) | −8.00000 | + | 6.00000i | −0.604743 | + | 0.453557i | ||||
\(176\) | −6.00000 | −0.452267 | ||||||||
\(177\) | 6.00000i | 0.450988i | ||||||||
\(178\) | − | 10.0000i | − | 0.749532i | ||||||
\(179\) | −18.0000 | −1.34538 | −0.672692 | − | 0.739923i | \(-0.734862\pi\) | ||||
−0.672692 | + | 0.739923i | \(0.734862\pi\) | |||||||
\(180\) | 2.00000 | + | 1.00000i | 0.149071 | + | 0.0745356i | ||||
\(181\) | 10.0000 | 0.743294 | 0.371647 | − | 0.928374i | \(-0.378793\pi\) | ||||
0.371647 | + | 0.928374i | \(0.378793\pi\) | |||||||
\(182\) | − | 4.00000i | − | 0.296500i | ||||||
\(183\) | 14.0000i | 1.03491i | ||||||||
\(184\) | −4.00000 | −0.294884 | ||||||||
\(185\) | −2.00000 | + | 4.00000i | −0.147043 | + | 0.294086i | ||||
\(186\) | −1.00000 | −0.0733236 | ||||||||
\(187\) | − | 36.0000i | − | 2.63258i | ||||||
\(188\) | − | 8.00000i | − | 0.583460i | ||||||
\(189\) | −2.00000 | −0.145479 | ||||||||
\(190\) | 8.00000 | − | 16.0000i | 0.580381 | − | 1.16076i | ||||
\(191\) | 8.00000 | 0.578860 | 0.289430 | − | 0.957199i | \(-0.406534\pi\) | ||||
0.289430 | + | 0.957199i | \(0.406534\pi\) | |||||||
\(192\) | 1.00000i | 0.0721688i | ||||||||
\(193\) | 20.0000i | 1.43963i | 0.694165 | + | 0.719816i | \(0.255774\pi\) | ||||
−0.694165 | + | 0.719816i | \(0.744226\pi\) | |||||||
\(194\) | −16.0000 | −1.14873 | ||||||||
\(195\) | 4.00000 | + | 2.00000i | 0.286446 | + | 0.143223i | ||||
\(196\) | −3.00000 | −0.214286 | ||||||||
\(197\) | 18.0000i | 1.28245i | 0.767354 | + | 0.641223i | \(0.221573\pi\) | ||||
−0.767354 | + | 0.641223i | \(0.778427\pi\) | |||||||
\(198\) | 6.00000i | 0.426401i | ||||||||
\(199\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(200\) | 4.00000 | − | 3.00000i | 0.282843 | − | 0.212132i | ||||
\(201\) | 4.00000 | 0.282138 | ||||||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 8.00000i | 0.561490i | ||||||||
\(204\) | −6.00000 | −0.420084 | ||||||||
\(205\) | 4.00000 | + | 2.00000i | 0.279372 | + | 0.139686i | ||||
\(206\) | −6.00000 | −0.418040 | ||||||||
\(207\) | 4.00000i | 0.278019i | ||||||||
\(208\) | 2.00000i | 0.138675i | ||||||||
\(209\) | 48.0000 | 3.32023 | ||||||||
\(210\) | −2.00000 | + | 4.00000i | −0.138013 | + | 0.276026i | ||||
\(211\) | −20.0000 | −1.37686 | −0.688428 | − | 0.725304i | \(-0.741699\pi\) | ||||
−0.688428 | + | 0.725304i | \(0.741699\pi\) | |||||||
\(212\) | 10.0000i | 0.686803i | ||||||||
\(213\) | − | 16.0000i | − | 1.09630i | ||||||
\(214\) | 4.00000 | 0.273434 | ||||||||
\(215\) | −4.00000 | + | 8.00000i | −0.272798 | + | 0.545595i | ||||
\(216\) | 1.00000 | 0.0680414 | ||||||||
\(217\) | − | 2.00000i | − | 0.135769i | ||||||
\(218\) | − | 2.00000i | − | 0.135457i | ||||||
\(219\) | 8.00000 | 0.540590 | ||||||||
\(220\) | 12.0000 | + | 6.00000i | 0.809040 | + | 0.404520i | ||||
\(221\) | −12.0000 | −0.807207 | ||||||||
\(222\) | 2.00000i | 0.134231i | ||||||||
\(223\) | − | 14.0000i | − | 0.937509i | −0.883328 | − | 0.468755i | \(-0.844703\pi\) | ||
0.883328 | − | 0.468755i | \(-0.155297\pi\) | |||||||
\(224\) | −2.00000 | −0.133631 | ||||||||
\(225\) | −3.00000 | − | 4.00000i | −0.200000 | − | 0.266667i | ||||
\(226\) | 18.0000 | 1.19734 | ||||||||
\(227\) | − | 12.0000i | − | 0.796468i | −0.917284 | − | 0.398234i | \(-0.869623\pi\) | ||
0.917284 | − | 0.398234i | \(-0.130377\pi\) | |||||||
\(228\) | − | 8.00000i | − | 0.529813i | ||||||
\(229\) | −6.00000 | −0.396491 | −0.198246 | − | 0.980152i | \(-0.563524\pi\) | ||||
−0.198246 | + | 0.980152i | \(0.563524\pi\) | |||||||
\(230\) | 8.00000 | + | 4.00000i | 0.527504 | + | 0.263752i | ||||
\(231\) | −12.0000 | −0.789542 | ||||||||
\(232\) | − | 4.00000i | − | 0.262613i | ||||||
\(233\) | 18.0000i | 1.17922i | 0.807688 | + | 0.589610i | \(0.200718\pi\) | ||||
−0.807688 | + | 0.589610i | \(0.799282\pi\) | |||||||
\(234\) | 2.00000 | 0.130744 | ||||||||
\(235\) | −8.00000 | + | 16.0000i | −0.521862 | + | 1.04372i | ||||
\(236\) | 6.00000 | 0.390567 | ||||||||
\(237\) | 0 | 0 | ||||||||
\(238\) | − | 12.0000i | − | 0.777844i | ||||||
\(239\) | 20.0000 | 1.29369 | 0.646846 | − | 0.762620i | \(-0.276088\pi\) | ||||
0.646846 | + | 0.762620i | \(0.276088\pi\) | |||||||
\(240\) | 1.00000 | − | 2.00000i | 0.0645497 | − | 0.129099i | ||||
\(241\) | −18.0000 | −1.15948 | −0.579741 | − | 0.814801i | \(-0.696846\pi\) | ||||
−0.579741 | + | 0.814801i | \(0.696846\pi\) | |||||||
\(242\) | 25.0000i | 1.60706i | ||||||||
\(243\) | − | 1.00000i | − | 0.0641500i | ||||||
\(244\) | 14.0000 | 0.896258 | ||||||||
\(245\) | 6.00000 | + | 3.00000i | 0.383326 | + | 0.191663i | ||||
\(246\) | 2.00000 | 0.127515 | ||||||||
\(247\) | − | 16.0000i | − | 1.01806i | ||||||
\(248\) | 1.00000i | 0.0635001i | ||||||||
\(249\) | 4.00000 | 0.253490 | ||||||||
\(250\) | −11.0000 | + | 2.00000i | −0.695701 | + | 0.126491i | ||||
\(251\) | 6.00000 | 0.378717 | 0.189358 | − | 0.981908i | \(-0.439359\pi\) | ||||
0.189358 | + | 0.981908i | \(0.439359\pi\) | |||||||
\(252\) | 2.00000i | 0.125988i | ||||||||
\(253\) | 24.0000i | 1.50887i | ||||||||
\(254\) | 2.00000 | 0.125491 | ||||||||
\(255\) | 12.0000 | + | 6.00000i | 0.751469 | + | 0.375735i | ||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | − | 14.0000i | − | 0.873296i | −0.899632 | − | 0.436648i | \(-0.856166\pi\) | ||
0.899632 | − | 0.436648i | \(-0.143834\pi\) | |||||||
\(258\) | 4.00000i | 0.249029i | ||||||||
\(259\) | −4.00000 | −0.248548 | ||||||||
\(260\) | 2.00000 | − | 4.00000i | 0.124035 | − | 0.248069i | ||||
\(261\) | −4.00000 | −0.247594 | ||||||||
\(262\) | 10.0000i | 0.617802i | ||||||||
\(263\) | 12.0000i | 0.739952i | 0.929041 | + | 0.369976i | \(0.120634\pi\) | ||||
−0.929041 | + | 0.369976i | \(0.879366\pi\) | |||||||
\(264\) | 6.00000 | 0.369274 | ||||||||
\(265\) | 10.0000 | − | 20.0000i | 0.614295 | − | 1.22859i | ||||
\(266\) | 16.0000 | 0.981023 | ||||||||
\(267\) | 10.0000i | 0.611990i | ||||||||
\(268\) | − | 4.00000i | − | 0.244339i | ||||||
\(269\) | 4.00000 | 0.243884 | 0.121942 | − | 0.992537i | \(-0.461088\pi\) | ||||
0.121942 | + | 0.992537i | \(0.461088\pi\) | |||||||
\(270\) | −2.00000 | − | 1.00000i | −0.121716 | − | 0.0608581i | ||||
\(271\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(272\) | 6.00000i | 0.363803i | ||||||||
\(273\) | 4.00000i | 0.242091i | ||||||||
\(274\) | 14.0000 | 0.845771 | ||||||||
\(275\) | −18.0000 | − | 24.0000i | −1.08544 | − | 1.44725i | ||||
\(276\) | 4.00000 | 0.240772 | ||||||||
\(277\) | 10.0000i | 0.600842i | 0.953807 | + | 0.300421i | \(0.0971271\pi\) | ||||
−0.953807 | + | 0.300421i | \(0.902873\pi\) | |||||||
\(278\) | 20.0000i | 1.19952i | ||||||||
\(279\) | 1.00000 | 0.0598684 | ||||||||
\(280\) | 4.00000 | + | 2.00000i | 0.239046 | + | 0.119523i | ||||
\(281\) | 22.0000 | 1.31241 | 0.656205 | − | 0.754583i | \(-0.272161\pi\) | ||||
0.656205 | + | 0.754583i | \(0.272161\pi\) | |||||||
\(282\) | 8.00000i | 0.476393i | ||||||||
\(283\) | 20.0000i | 1.18888i | 0.804141 | + | 0.594438i | \(0.202626\pi\) | ||||
−0.804141 | + | 0.594438i | \(0.797374\pi\) | |||||||
\(284\) | −16.0000 | −0.949425 | ||||||||
\(285\) | −8.00000 | + | 16.0000i | −0.473879 | + | 0.947758i | ||||
\(286\) | 12.0000 | 0.709575 | ||||||||
\(287\) | 4.00000i | 0.236113i | ||||||||
\(288\) | − | 1.00000i | − | 0.0589256i | ||||||
\(289\) | −19.0000 | −1.11765 | ||||||||
\(290\) | −4.00000 | + | 8.00000i | −0.234888 | + | 0.469776i | ||||
\(291\) | 16.0000 | 0.937937 | ||||||||
\(292\) | − | 8.00000i | − | 0.468165i | ||||||
\(293\) | 6.00000i | 0.350524i | 0.984522 | + | 0.175262i | \(0.0560772\pi\) | ||||
−0.984522 | + | 0.175262i | \(0.943923\pi\) | |||||||
\(294\) | 3.00000 | 0.174964 | ||||||||
\(295\) | −12.0000 | − | 6.00000i | −0.698667 | − | 0.349334i | ||||
\(296\) | 2.00000 | 0.116248 | ||||||||
\(297\) | − | 6.00000i | − | 0.348155i | ||||||
\(298\) | 12.0000i | 0.695141i | ||||||||
\(299\) | 8.00000 | 0.462652 | ||||||||
\(300\) | −4.00000 | + | 3.00000i | −0.230940 | + | 0.173205i | ||||
\(301\) | −8.00000 | −0.461112 | ||||||||
\(302\) | 8.00000i | 0.460348i | ||||||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −8.00000 | −0.458831 | ||||||||
\(305\) | −28.0000 | − | 14.0000i | −1.60328 | − | 0.801638i | ||||
\(306\) | 6.00000 | 0.342997 | ||||||||
\(307\) | − | 8.00000i | − | 0.456584i | −0.973593 | − | 0.228292i | \(-0.926686\pi\) | ||
0.973593 | − | 0.228292i | \(-0.0733141\pi\) | |||||||
\(308\) | 12.0000i | 0.683763i | ||||||||
\(309\) | 6.00000 | 0.341328 | ||||||||
\(310\) | 1.00000 | − | 2.00000i | 0.0567962 | − | 0.113592i | ||||
\(311\) | −8.00000 | −0.453638 | −0.226819 | − | 0.973937i | \(-0.572833\pi\) | ||||
−0.226819 | + | 0.973937i | \(0.572833\pi\) | |||||||
\(312\) | − | 2.00000i | − | 0.113228i | ||||||
\(313\) | − | 24.0000i | − | 1.35656i | −0.734803 | − | 0.678280i | \(-0.762726\pi\) | ||
0.734803 | − | 0.678280i | \(-0.237274\pi\) | |||||||
\(314\) | 6.00000 | 0.338600 | ||||||||
\(315\) | 2.00000 | − | 4.00000i | 0.112687 | − | 0.225374i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | − | 18.0000i | − | 1.01098i | −0.862832 | − | 0.505490i | \(-0.831312\pi\) | ||
0.862832 | − | 0.505490i | \(-0.168688\pi\) | |||||||
\(318\) | − | 10.0000i | − | 0.560772i | ||||||
\(319\) | −24.0000 | −1.34374 | ||||||||
\(320\) | −2.00000 | − | 1.00000i | −0.111803 | − | 0.0559017i | ||||
\(321\) | −4.00000 | −0.223258 | ||||||||
\(322\) | 8.00000i | 0.445823i | ||||||||
\(323\) | − | 48.0000i | − | 2.67079i | ||||||
\(324\) | −1.00000 | −0.0555556 | ||||||||
\(325\) | −8.00000 | + | 6.00000i | −0.443760 | + | 0.332820i | ||||
\(326\) | −20.0000 | −1.10770 | ||||||||
\(327\) | 2.00000i | 0.110600i | ||||||||
\(328\) | − | 2.00000i | − | 0.110432i | ||||||
\(329\) | −16.0000 | −0.882109 | ||||||||
\(330\) | −12.0000 | − | 6.00000i | −0.660578 | − | 0.330289i | ||||
\(331\) | 8.00000 | 0.439720 | 0.219860 | − | 0.975531i | \(-0.429440\pi\) | ||||
0.219860 | + | 0.975531i | \(0.429440\pi\) | |||||||
\(332\) | − | 4.00000i | − | 0.219529i | ||||||
\(333\) | − | 2.00000i | − | 0.109599i | ||||||
\(334\) | 12.0000 | 0.656611 | ||||||||
\(335\) | −4.00000 | + | 8.00000i | −0.218543 | + | 0.437087i | ||||
\(336\) | 2.00000 | 0.109109 | ||||||||
\(337\) | − | 8.00000i | − | 0.435788i | −0.975972 | − | 0.217894i | \(-0.930081\pi\) | ||
0.975972 | − | 0.217894i | \(-0.0699187\pi\) | |||||||
\(338\) | 9.00000i | 0.489535i | ||||||||
\(339\) | −18.0000 | −0.977626 | ||||||||
\(340\) | 6.00000 | − | 12.0000i | 0.325396 | − | 0.650791i | ||||
\(341\) | 6.00000 | 0.324918 | ||||||||
\(342\) | 8.00000i | 0.432590i | ||||||||
\(343\) | 20.0000i | 1.07990i | ||||||||
\(344\) | 4.00000 | 0.215666 | ||||||||
\(345\) | −8.00000 | − | 4.00000i | −0.430706 | − | 0.215353i | ||||
\(346\) | 14.0000 | 0.752645 | ||||||||
\(347\) | 4.00000i | 0.214731i | 0.994220 | + | 0.107366i | \(0.0342415\pi\) | ||||
−0.994220 | + | 0.107366i | \(0.965758\pi\) | |||||||
\(348\) | 4.00000i | 0.214423i | ||||||||
\(349\) | −2.00000 | −0.107058 | −0.0535288 | − | 0.998566i | \(-0.517047\pi\) | ||||
−0.0535288 | + | 0.998566i | \(0.517047\pi\) | |||||||
\(350\) | −6.00000 | − | 8.00000i | −0.320713 | − | 0.427618i | ||||
\(351\) | −2.00000 | −0.106752 | ||||||||
\(352\) | − | 6.00000i | − | 0.319801i | ||||||
\(353\) | 18.0000i | 0.958043i | 0.877803 | + | 0.479022i | \(0.159008\pi\) | ||||
−0.877803 | + | 0.479022i | \(0.840992\pi\) | |||||||
\(354\) | −6.00000 | −0.318896 | ||||||||
\(355\) | 32.0000 | + | 16.0000i | 1.69838 | + | 0.849192i | ||||
\(356\) | 10.0000 | 0.529999 | ||||||||
\(357\) | 12.0000i | 0.635107i | ||||||||
\(358\) | − | 18.0000i | − | 0.951330i | ||||||
\(359\) | −12.0000 | −0.633336 | −0.316668 | − | 0.948536i | \(-0.602564\pi\) | ||||
−0.316668 | + | 0.948536i | \(0.602564\pi\) | |||||||
\(360\) | −1.00000 | + | 2.00000i | −0.0527046 | + | 0.105409i | ||||
\(361\) | 45.0000 | 2.36842 | ||||||||
\(362\) | 10.0000i | 0.525588i | ||||||||
\(363\) | − | 25.0000i | − | 1.31216i | ||||||
\(364\) | 4.00000 | 0.209657 | ||||||||
\(365\) | −8.00000 | + | 16.0000i | −0.418739 | + | 0.837478i | ||||
\(366\) | −14.0000 | −0.731792 | ||||||||
\(367\) | − | 26.0000i | − | 1.35719i | −0.734513 | − | 0.678594i | \(-0.762589\pi\) | ||
0.734513 | − | 0.678594i | \(-0.237411\pi\) | |||||||
\(368\) | − | 4.00000i | − | 0.208514i | ||||||
\(369\) | −2.00000 | −0.104116 | ||||||||
\(370\) | −4.00000 | − | 2.00000i | −0.207950 | − | 0.103975i | ||||
\(371\) | 20.0000 | 1.03835 | ||||||||
\(372\) | − | 1.00000i | − | 0.0518476i | ||||||
\(373\) | 22.0000i | 1.13912i | 0.821951 | + | 0.569558i | \(0.192886\pi\) | ||||
−0.821951 | + | 0.569558i | \(0.807114\pi\) | |||||||
\(374\) | 36.0000 | 1.86152 | ||||||||
\(375\) | 11.0000 | − | 2.00000i | 0.568038 | − | 0.103280i | ||||
\(376\) | 8.00000 | 0.412568 | ||||||||
\(377\) | 8.00000i | 0.412021i | ||||||||
\(378\) | − | 2.00000i | − | 0.102869i | ||||||
\(379\) | −36.0000 | −1.84920 | −0.924598 | − | 0.380945i | \(-0.875599\pi\) | ||||
−0.924598 | + | 0.380945i | \(0.875599\pi\) | |||||||
\(380\) | 16.0000 | + | 8.00000i | 0.820783 | + | 0.410391i | ||||
\(381\) | −2.00000 | −0.102463 | ||||||||
\(382\) | 8.00000i | 0.409316i | ||||||||
\(383\) | 16.0000i | 0.817562i | 0.912633 | + | 0.408781i | \(0.134046\pi\) | ||||
−0.912633 | + | 0.408781i | \(0.865954\pi\) | |||||||
\(384\) | −1.00000 | −0.0510310 | ||||||||
\(385\) | 12.0000 | − | 24.0000i | 0.611577 | − | 1.22315i | ||||
\(386\) | −20.0000 | −1.01797 | ||||||||
\(387\) | − | 4.00000i | − | 0.203331i | ||||||
\(388\) | − | 16.0000i | − | 0.812277i | ||||||
\(389\) | 16.0000 | 0.811232 | 0.405616 | − | 0.914044i | \(-0.367057\pi\) | ||||
0.405616 | + | 0.914044i | \(0.367057\pi\) | |||||||
\(390\) | −2.00000 | + | 4.00000i | −0.101274 | + | 0.202548i | ||||
\(391\) | 24.0000 | 1.21373 | ||||||||
\(392\) | − | 3.00000i | − | 0.151523i | ||||||
\(393\) | − | 10.0000i | − | 0.504433i | ||||||
\(394\) | −18.0000 | −0.906827 | ||||||||
\(395\) | 0 | 0 | ||||||||
\(396\) | −6.00000 | −0.301511 | ||||||||
\(397\) | 22.0000i | 1.10415i | 0.833795 | + | 0.552074i | \(0.186163\pi\) | ||||
−0.833795 | + | 0.552074i | \(0.813837\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −16.0000 | −0.801002 | ||||||||
\(400\) | 3.00000 | + | 4.00000i | 0.150000 | + | 0.200000i | ||||
\(401\) | 2.00000 | 0.0998752 | 0.0499376 | − | 0.998752i | \(-0.484098\pi\) | ||||
0.0499376 | + | 0.998752i | \(0.484098\pi\) | |||||||
\(402\) | 4.00000i | 0.199502i | ||||||||
\(403\) | − | 2.00000i | − | 0.0996271i | ||||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 2.00000 | + | 1.00000i | 0.0993808 | + | 0.0496904i | ||||
\(406\) | −8.00000 | −0.397033 | ||||||||
\(407\) | − | 12.0000i | − | 0.594818i | ||||||
\(408\) | − | 6.00000i | − | 0.297044i | ||||||
\(409\) | −22.0000 | −1.08783 | −0.543915 | − | 0.839140i | \(-0.683059\pi\) | ||||
−0.543915 | + | 0.839140i | \(0.683059\pi\) | |||||||
\(410\) | −2.00000 | + | 4.00000i | −0.0987730 | + | 0.197546i | ||||
\(411\) | −14.0000 | −0.690569 | ||||||||
\(412\) | − | 6.00000i | − | 0.295599i | ||||||
\(413\) | − | 12.0000i | − | 0.590481i | ||||||
\(414\) | −4.00000 | −0.196589 | ||||||||
\(415\) | −4.00000 | + | 8.00000i | −0.196352 | + | 0.392705i | ||||
\(416\) | −2.00000 | −0.0980581 | ||||||||
\(417\) | − | 20.0000i | − | 0.979404i | ||||||
\(418\) | 48.0000i | 2.34776i | ||||||||
\(419\) | 6.00000 | 0.293119 | 0.146560 | − | 0.989202i | \(-0.453180\pi\) | ||||
0.146560 | + | 0.989202i | \(0.453180\pi\) | |||||||
\(420\) | −4.00000 | − | 2.00000i | −0.195180 | − | 0.0975900i | ||||
\(421\) | −2.00000 | −0.0974740 | −0.0487370 | − | 0.998812i | \(-0.515520\pi\) | ||||
−0.0487370 | + | 0.998812i | \(0.515520\pi\) | |||||||
\(422\) | − | 20.0000i | − | 0.973585i | ||||||
\(423\) | − | 8.00000i | − | 0.388973i | ||||||
\(424\) | −10.0000 | −0.485643 | ||||||||
\(425\) | −24.0000 | + | 18.0000i | −1.16417 | + | 0.873128i | ||||
\(426\) | 16.0000 | 0.775203 | ||||||||
\(427\) | − | 28.0000i | − | 1.35501i | ||||||
\(428\) | 4.00000i | 0.193347i | ||||||||
\(429\) | −12.0000 | −0.579365 | ||||||||
\(430\) | −8.00000 | − | 4.00000i | −0.385794 | − | 0.192897i | ||||
\(431\) | 12.0000 | 0.578020 | 0.289010 | − | 0.957326i | \(-0.406674\pi\) | ||||
0.289010 | + | 0.957326i | \(0.406674\pi\) | |||||||
\(432\) | 1.00000i | 0.0481125i | ||||||||
\(433\) | − | 8.00000i | − | 0.384455i | −0.981350 | − | 0.192228i | \(-0.938429\pi\) | ||
0.981350 | − | 0.192228i | \(-0.0615712\pi\) | |||||||
\(434\) | 2.00000 | 0.0960031 | ||||||||
\(435\) | 4.00000 | − | 8.00000i | 0.191785 | − | 0.383571i | ||||
\(436\) | 2.00000 | 0.0957826 | ||||||||
\(437\) | 32.0000i | 1.53077i | ||||||||
\(438\) | 8.00000i | 0.382255i | ||||||||
\(439\) | −32.0000 | −1.52728 | −0.763638 | − | 0.645644i | \(-0.776589\pi\) | ||||
−0.763638 | + | 0.645644i | \(0.776589\pi\) | |||||||
\(440\) | −6.00000 | + | 12.0000i | −0.286039 | + | 0.572078i | ||||
\(441\) | −3.00000 | −0.142857 | ||||||||
\(442\) | − | 12.0000i | − | 0.570782i | ||||||
\(443\) | − | 4.00000i | − | 0.190046i | −0.995475 | − | 0.0950229i | \(-0.969708\pi\) | ||
0.995475 | − | 0.0950229i | \(-0.0302924\pi\) | |||||||
\(444\) | −2.00000 | −0.0949158 | ||||||||
\(445\) | −20.0000 | − | 10.0000i | −0.948091 | − | 0.474045i | ||||
\(446\) | 14.0000 | 0.662919 | ||||||||
\(447\) | − | 12.0000i | − | 0.567581i | ||||||
\(448\) | − | 2.00000i | − | 0.0944911i | ||||||
\(449\) | −26.0000 | −1.22702 | −0.613508 | − | 0.789689i | \(-0.710242\pi\) | ||||
−0.613508 | + | 0.789689i | \(0.710242\pi\) | |||||||
\(450\) | 4.00000 | − | 3.00000i | 0.188562 | − | 0.141421i | ||||
\(451\) | −12.0000 | −0.565058 | ||||||||
\(452\) | 18.0000i | 0.846649i | ||||||||
\(453\) | − | 8.00000i | − | 0.375873i | ||||||
\(454\) | 12.0000 | 0.563188 | ||||||||
\(455\) | −8.00000 | − | 4.00000i | −0.375046 | − | 0.187523i | ||||
\(456\) | 8.00000 | 0.374634 | ||||||||
\(457\) | − | 12.0000i | − | 0.561336i | −0.959805 | − | 0.280668i | \(-0.909444\pi\) | ||
0.959805 | − | 0.280668i | \(-0.0905560\pi\) | |||||||
\(458\) | − | 6.00000i | − | 0.280362i | ||||||
\(459\) | −6.00000 | −0.280056 | ||||||||
\(460\) | −4.00000 | + | 8.00000i | −0.186501 | + | 0.373002i | ||||
\(461\) | −32.0000 | −1.49039 | −0.745194 | − | 0.666847i | \(-0.767643\pi\) | ||||
−0.745194 | + | 0.666847i | \(0.767643\pi\) | |||||||
\(462\) | − | 12.0000i | − | 0.558291i | ||||||
\(463\) | − | 26.0000i | − | 1.20832i | −0.796862 | − | 0.604161i | \(-0.793508\pi\) | ||
0.796862 | − | 0.604161i | \(-0.206492\pi\) | |||||||
\(464\) | 4.00000 | 0.185695 | ||||||||
\(465\) | −1.00000 | + | 2.00000i | −0.0463739 | + | 0.0927478i | ||||
\(466\) | −18.0000 | −0.833834 | ||||||||
\(467\) | − | 4.00000i | − | 0.185098i | −0.995708 | − | 0.0925490i | \(-0.970499\pi\) | ||
0.995708 | − | 0.0925490i | \(-0.0295015\pi\) | |||||||
\(468\) | 2.00000i | 0.0924500i | ||||||||
\(469\) | −8.00000 | −0.369406 | ||||||||
\(470\) | −16.0000 | − | 8.00000i | −0.738025 | − | 0.369012i | ||||
\(471\) | −6.00000 | −0.276465 | ||||||||
\(472\) | 6.00000i | 0.276172i | ||||||||
\(473\) | − | 24.0000i | − | 1.10352i | ||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −24.0000 | − | 32.0000i | −1.10120 | − | 1.46826i | ||||
\(476\) | 12.0000 | 0.550019 | ||||||||
\(477\) | 10.0000i | 0.457869i | ||||||||
\(478\) | 20.0000i | 0.914779i | ||||||||
\(479\) | 40.0000 | 1.82765 | 0.913823 | − | 0.406112i | \(-0.133116\pi\) | ||||
0.913823 | + | 0.406112i | \(0.133116\pi\) | |||||||
\(480\) | 2.00000 | + | 1.00000i | 0.0912871 | + | 0.0456435i | ||||
\(481\) | −4.00000 | −0.182384 | ||||||||
\(482\) | − | 18.0000i | − | 0.819878i | ||||||
\(483\) | − | 8.00000i | − | 0.364013i | ||||||
\(484\) | −25.0000 | −1.13636 | ||||||||
\(485\) | −16.0000 | + | 32.0000i | −0.726523 | + | 1.45305i | ||||
\(486\) | 1.00000 | 0.0453609 | ||||||||
\(487\) | − | 14.0000i | − | 0.634401i | −0.948359 | − | 0.317200i | \(-0.897257\pi\) | ||
0.948359 | − | 0.317200i | \(-0.102743\pi\) | |||||||
\(488\) | 14.0000i | 0.633750i | ||||||||
\(489\) | 20.0000 | 0.904431 | ||||||||
\(490\) | −3.00000 | + | 6.00000i | −0.135526 | + | 0.271052i | ||||
\(491\) | 30.0000 | 1.35388 | 0.676941 | − | 0.736038i | \(-0.263305\pi\) | ||||
0.676941 | + | 0.736038i | \(0.263305\pi\) | |||||||
\(492\) | 2.00000i | 0.0901670i | ||||||||
\(493\) | 24.0000i | 1.08091i | ||||||||
\(494\) | 16.0000 | 0.719874 | ||||||||
\(495\) | 12.0000 | + | 6.00000i | 0.539360 | + | 0.269680i | ||||
\(496\) | −1.00000 | −0.0449013 | ||||||||
\(497\) | 32.0000i | 1.43540i | ||||||||
\(498\) | 4.00000i | 0.179244i | ||||||||
\(499\) | 32.0000 | 1.43252 | 0.716258 | − | 0.697835i | \(-0.245853\pi\) | ||||
0.716258 | + | 0.697835i | \(0.245853\pi\) | |||||||
\(500\) | −2.00000 | − | 11.0000i | −0.0894427 | − | 0.491935i | ||||
\(501\) | −12.0000 | −0.536120 | ||||||||
\(502\) | 6.00000i | 0.267793i | ||||||||
\(503\) | 8.00000i | 0.356702i | 0.983967 | + | 0.178351i | \(0.0570763\pi\) | ||||
−0.983967 | + | 0.178351i | \(0.942924\pi\) | |||||||
\(504\) | −2.00000 | −0.0890871 | ||||||||
\(505\) | 0 | 0 | ||||||||
\(506\) | −24.0000 | −1.06693 | ||||||||
\(507\) | − | 9.00000i | − | 0.399704i | ||||||
\(508\) | 2.00000i | 0.0887357i | ||||||||
\(509\) | −20.0000 | −0.886484 | −0.443242 | − | 0.896402i | \(-0.646172\pi\) | ||||
−0.443242 | + | 0.896402i | \(0.646172\pi\) | |||||||
\(510\) | −6.00000 | + | 12.0000i | −0.265684 | + | 0.531369i | ||||
\(511\) | −16.0000 | −0.707798 | ||||||||
\(512\) | 1.00000i | 0.0441942i | ||||||||
\(513\) | − | 8.00000i | − | 0.353209i | ||||||
\(514\) | 14.0000 | 0.617514 | ||||||||
\(515\) | −6.00000 | + | 12.0000i | −0.264392 | + | 0.528783i | ||||
\(516\) | −4.00000 | −0.176090 | ||||||||
\(517\) | − | 48.0000i | − | 2.11104i | ||||||
\(518\) | − | 4.00000i | − | 0.175750i | ||||||
\(519\) | −14.0000 | −0.614532 | ||||||||
\(520\) | 4.00000 | + | 2.00000i | 0.175412 | + | 0.0877058i | ||||
\(521\) | −42.0000 | −1.84005 | −0.920027 | − | 0.391856i | \(-0.871833\pi\) | ||||
−0.920027 | + | 0.391856i | \(0.871833\pi\) | |||||||
\(522\) | − | 4.00000i | − | 0.175075i | ||||||
\(523\) | 40.0000i | 1.74908i | 0.484955 | + | 0.874539i | \(0.338836\pi\) | ||||
−0.484955 | + | 0.874539i | \(0.661164\pi\) | |||||||
\(524\) | −10.0000 | −0.436852 | ||||||||
\(525\) | 6.00000 | + | 8.00000i | 0.261861 | + | 0.349149i | ||||
\(526\) | −12.0000 | −0.523225 | ||||||||
\(527\) | − | 6.00000i | − | 0.261364i | ||||||
\(528\) | 6.00000i | 0.261116i | ||||||||
\(529\) | 7.00000 | 0.304348 | ||||||||
\(530\) | 20.0000 | + | 10.0000i | 0.868744 | + | 0.434372i | ||||
\(531\) | 6.00000 | 0.260378 | ||||||||
\(532\) | 16.0000i | 0.693688i | ||||||||
\(533\) | 4.00000i | 0.173259i | ||||||||
\(534\) | −10.0000 | −0.432742 | ||||||||
\(535\) | 4.00000 | − | 8.00000i | 0.172935 | − | 0.345870i | ||||
\(536\) | 4.00000 | 0.172774 | ||||||||
\(537\) | 18.0000i | 0.776757i | ||||||||
\(538\) | 4.00000i | 0.172452i | ||||||||
\(539\) | −18.0000 | −0.775315 | ||||||||
\(540\) | 1.00000 | − | 2.00000i | 0.0430331 | − | 0.0860663i | ||||
\(541\) | 18.0000 | 0.773880 | 0.386940 | − | 0.922105i | \(-0.373532\pi\) | ||||
0.386940 | + | 0.922105i | \(0.373532\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | − | 10.0000i | − | 0.429141i | ||||||
\(544\) | −6.00000 | −0.257248 | ||||||||
\(545\) | −4.00000 | − | 2.00000i | −0.171341 | − | 0.0856706i | ||||
\(546\) | −4.00000 | −0.171184 | ||||||||
\(547\) | 8.00000i | 0.342055i | 0.985266 | + | 0.171028i | \(0.0547087\pi\) | ||||
−0.985266 | + | 0.171028i | \(0.945291\pi\) | |||||||
\(548\) | 14.0000i | 0.598050i | ||||||||
\(549\) | 14.0000 | 0.597505 | ||||||||
\(550\) | 24.0000 | − | 18.0000i | 1.02336 | − | 0.767523i | ||||
\(551\) | −32.0000 | −1.36325 | ||||||||
\(552\) | 4.00000i | 0.170251i | ||||||||
\(553\) | 0 | 0 | ||||||||
\(554\) | −10.0000 | −0.424859 | ||||||||
\(555\) | 4.00000 | + | 2.00000i | 0.169791 | + | 0.0848953i | ||||
\(556\) | −20.0000 | −0.848189 | ||||||||
\(557\) | − | 30.0000i | − | 1.27114i | −0.772043 | − | 0.635570i | \(-0.780765\pi\) | ||
0.772043 | − | 0.635570i | \(-0.219235\pi\) | |||||||
\(558\) | 1.00000i | 0.0423334i | ||||||||
\(559\) | −8.00000 | −0.338364 | ||||||||
\(560\) | −2.00000 | + | 4.00000i | −0.0845154 | + | 0.169031i | ||||
\(561\) | −36.0000 | −1.51992 | ||||||||
\(562\) | 22.0000i | 0.928014i | ||||||||
\(563\) | 36.0000i | 1.51722i | 0.651546 | + | 0.758610i | \(0.274121\pi\) | ||||
−0.651546 | + | 0.758610i | \(0.725879\pi\) | |||||||
\(564\) | −8.00000 | −0.336861 | ||||||||
\(565\) | 18.0000 | − | 36.0000i | 0.757266 | − | 1.51453i | ||||
\(566\) | −20.0000 | −0.840663 | ||||||||
\(567\) | 2.00000i | 0.0839921i | ||||||||
\(568\) | − | 16.0000i | − | 0.671345i | ||||||
\(569\) | −18.0000 | −0.754599 | −0.377300 | − | 0.926091i | \(-0.623147\pi\) | ||||
−0.377300 | + | 0.926091i | \(0.623147\pi\) | |||||||
\(570\) | −16.0000 | − | 8.00000i | −0.670166 | − | 0.335083i | ||||
\(571\) | −40.0000 | −1.67395 | −0.836974 | − | 0.547243i | \(-0.815677\pi\) | ||||
−0.836974 | + | 0.547243i | \(0.815677\pi\) | |||||||
\(572\) | 12.0000i | 0.501745i | ||||||||
\(573\) | − | 8.00000i | − | 0.334205i | ||||||
\(574\) | −4.00000 | −0.166957 | ||||||||
\(575\) | 16.0000 | − | 12.0000i | 0.667246 | − | 0.500435i | ||||
\(576\) | 1.00000 | 0.0416667 | ||||||||
\(577\) | 16.0000i | 0.666089i | 0.942911 | + | 0.333044i | \(0.108076\pi\) | ||||
−0.942911 | + | 0.333044i | \(0.891924\pi\) | |||||||
\(578\) | − | 19.0000i | − | 0.790296i | ||||||
\(579\) | 20.0000 | 0.831172 | ||||||||
\(580\) | −8.00000 | − | 4.00000i | −0.332182 | − | 0.166091i | ||||
\(581\) | −8.00000 | −0.331896 | ||||||||
\(582\) | 16.0000i | 0.663221i | ||||||||
\(583\) | 60.0000i | 2.48495i | ||||||||
\(584\) | 8.00000 | 0.331042 | ||||||||
\(585\) | 2.00000 | − | 4.00000i | 0.0826898 | − | 0.165380i | ||||
\(586\) | −6.00000 | −0.247858 | ||||||||
\(587\) | − | 12.0000i | − | 0.495293i | −0.968850 | − | 0.247647i | \(-0.920343\pi\) | ||
0.968850 | − | 0.247647i | \(-0.0796572\pi\) | |||||||
\(588\) | 3.00000i | 0.123718i | ||||||||
\(589\) | 8.00000 | 0.329634 | ||||||||
\(590\) | 6.00000 | − | 12.0000i | 0.247016 | − | 0.494032i | ||||
\(591\) | 18.0000 | 0.740421 | ||||||||
\(592\) | 2.00000i | 0.0821995i | ||||||||
\(593\) | 30.0000i | 1.23195i | 0.787765 | + | 0.615976i | \(0.211238\pi\) | ||||
−0.787765 | + | 0.615976i | \(0.788762\pi\) | |||||||
\(594\) | 6.00000 | 0.246183 | ||||||||
\(595\) | −24.0000 | − | 12.0000i | −0.983904 | − | 0.491952i | ||||
\(596\) | −12.0000 | −0.491539 | ||||||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 8.00000i | 0.327144i | ||||||||
\(599\) | 20.0000 | 0.817178 | 0.408589 | − | 0.912719i | \(-0.366021\pi\) | ||||
0.408589 | + | 0.912719i | \(0.366021\pi\) | |||||||
\(600\) | −3.00000 | − | 4.00000i | −0.122474 | − | 0.163299i | ||||
\(601\) | 10.0000 | 0.407909 | 0.203954 | − | 0.978980i | \(-0.434621\pi\) | ||||
0.203954 | + | 0.978980i | \(0.434621\pi\) | |||||||
\(602\) | − | 8.00000i | − | 0.326056i | ||||||
\(603\) | − | 4.00000i | − | 0.162893i | ||||||
\(604\) | −8.00000 | −0.325515 | ||||||||
\(605\) | 50.0000 | + | 25.0000i | 2.03279 | + | 1.01639i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 6.00000i | 0.243532i | 0.992559 | + | 0.121766i | \(0.0388558\pi\) | ||||
−0.992559 | + | 0.121766i | \(0.961144\pi\) | |||||||
\(608\) | − | 8.00000i | − | 0.324443i | ||||||
\(609\) | 8.00000 | 0.324176 | ||||||||
\(610\) | 14.0000 | − | 28.0000i | 0.566843 | − | 1.13369i | ||||
\(611\) | −16.0000 | −0.647291 | ||||||||
\(612\) | 6.00000i | 0.242536i | ||||||||
\(613\) | 30.0000i | 1.21169i | 0.795583 | + | 0.605844i | \(0.207165\pi\) | ||||
−0.795583 | + | 0.605844i | \(0.792835\pi\) | |||||||
\(614\) | 8.00000 | 0.322854 | ||||||||
\(615\) | 2.00000 | − | 4.00000i | 0.0806478 | − | 0.161296i | ||||
\(616\) | −12.0000 | −0.483494 | ||||||||
\(617\) | 22.0000i | 0.885687i | 0.896599 | + | 0.442843i | \(0.146030\pi\) | ||||
−0.896599 | + | 0.442843i | \(0.853970\pi\) | |||||||
\(618\) | 6.00000i | 0.241355i | ||||||||
\(619\) | 12.0000 | 0.482321 | 0.241160 | − | 0.970485i | \(-0.422472\pi\) | ||||
0.241160 | + | 0.970485i | \(0.422472\pi\) | |||||||
\(620\) | 2.00000 | + | 1.00000i | 0.0803219 | + | 0.0401610i | ||||
\(621\) | 4.00000 | 0.160514 | ||||||||
\(622\) | − | 8.00000i | − | 0.320771i | ||||||
\(623\) | − | 20.0000i | − | 0.801283i | ||||||
\(624\) | 2.00000 | 0.0800641 | ||||||||
\(625\) | −7.00000 | + | 24.0000i | −0.280000 | + | 0.960000i | ||||
\(626\) | 24.0000 | 0.959233 | ||||||||
\(627\) | − | 48.0000i | − | 1.91694i | ||||||
\(628\) | 6.00000i | 0.239426i | ||||||||
\(629\) | −12.0000 | −0.478471 | ||||||||
\(630\) | 4.00000 | + | 2.00000i | 0.159364 | + | 0.0796819i | ||||
\(631\) | −8.00000 | −0.318475 | −0.159237 | − | 0.987240i | \(-0.550904\pi\) | ||||
−0.159237 | + | 0.987240i | \(0.550904\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 20.0000i | 0.794929i | ||||||||
\(634\) | 18.0000 | 0.714871 | ||||||||
\(635\) | 2.00000 | − | 4.00000i | 0.0793676 | − | 0.158735i | ||||
\(636\) | 10.0000 | 0.396526 | ||||||||
\(637\) | 6.00000i | 0.237729i | ||||||||
\(638\) | − | 24.0000i | − | 0.950169i | ||||||
\(639\) | −16.0000 | −0.632950 | ||||||||
\(640\) | 1.00000 | − | 2.00000i | 0.0395285 | − | 0.0790569i | ||||
\(641\) | 14.0000 | 0.552967 | 0.276483 | − | 0.961019i | \(-0.410831\pi\) | ||||
0.276483 | + | 0.961019i | \(0.410831\pi\) | |||||||
\(642\) | − | 4.00000i | − | 0.157867i | ||||||
\(643\) | 32.0000i | 1.26196i | 0.775800 | + | 0.630978i | \(0.217346\pi\) | ||||
−0.775800 | + | 0.630978i | \(0.782654\pi\) | |||||||
\(644\) | −8.00000 | −0.315244 | ||||||||
\(645\) | 8.00000 | + | 4.00000i | 0.315000 | + | 0.157500i | ||||
\(646\) | 48.0000 | 1.88853 | ||||||||
\(647\) | 32.0000i | 1.25805i | 0.777385 | + | 0.629025i | \(0.216546\pi\) | ||||
−0.777385 | + | 0.629025i | \(0.783454\pi\) | |||||||
\(648\) | − | 1.00000i | − | 0.0392837i | ||||||
\(649\) | 36.0000 | 1.41312 | ||||||||
\(650\) | −6.00000 | − | 8.00000i | −0.235339 | − | 0.313786i | ||||
\(651\) | −2.00000 | −0.0783862 | ||||||||
\(652\) | − | 20.0000i | − | 0.783260i | ||||||
\(653\) | 42.0000i | 1.64359i | 0.569785 | + | 0.821794i | \(0.307026\pi\) | ||||
−0.569785 | + | 0.821794i | \(0.692974\pi\) | |||||||
\(654\) | −2.00000 | −0.0782062 | ||||||||
\(655\) | 20.0000 | + | 10.0000i | 0.781465 | + | 0.390732i | ||||
\(656\) | 2.00000 | 0.0780869 | ||||||||
\(657\) | − | 8.00000i | − | 0.312110i | ||||||
\(658\) | − | 16.0000i | − | 0.623745i | ||||||
\(659\) | −18.0000 | −0.701180 | −0.350590 | − | 0.936529i | \(-0.614019\pi\) | ||||
−0.350590 | + | 0.936529i | \(0.614019\pi\) | |||||||
\(660\) | 6.00000 | − | 12.0000i | 0.233550 | − | 0.467099i | ||||
\(661\) | 18.0000 | 0.700119 | 0.350059 | − | 0.936727i | \(-0.386161\pi\) | ||||
0.350059 | + | 0.936727i | \(0.386161\pi\) | |||||||
\(662\) | 8.00000i | 0.310929i | ||||||||
\(663\) | 12.0000i | 0.466041i | ||||||||
\(664\) | 4.00000 | 0.155230 | ||||||||
\(665\) | 16.0000 | − | 32.0000i | 0.620453 | − | 1.24091i | ||||
\(666\) | 2.00000 | 0.0774984 | ||||||||
\(667\) | − | 16.0000i | − | 0.619522i | ||||||
\(668\) | 12.0000i | 0.464294i | ||||||||
\(669\) | −14.0000 | −0.541271 | ||||||||
\(670\) | −8.00000 | − | 4.00000i | −0.309067 | − | 0.154533i | ||||
\(671\) | 84.0000 | 3.24278 | ||||||||
\(672\) | 2.00000i | 0.0771517i | ||||||||
\(673\) | − | 24.0000i | − | 0.925132i | −0.886585 | − | 0.462566i | \(-0.846929\pi\) | ||
0.886585 | − | 0.462566i | \(-0.153071\pi\) | |||||||
\(674\) | 8.00000 | 0.308148 | ||||||||
\(675\) | −4.00000 | + | 3.00000i | −0.153960 | + | 0.115470i | ||||
\(676\) | −9.00000 | −0.346154 | ||||||||
\(677\) | − | 10.0000i | − | 0.384331i | −0.981363 | − | 0.192166i | \(-0.938449\pi\) | ||
0.981363 | − | 0.192166i | \(-0.0615511\pi\) | |||||||
\(678\) | − | 18.0000i | − | 0.691286i | ||||||
\(679\) | −32.0000 | −1.22805 | ||||||||
\(680\) | 12.0000 | + | 6.00000i | 0.460179 | + | 0.230089i | ||||
\(681\) | −12.0000 | −0.459841 | ||||||||
\(682\) | 6.00000i | 0.229752i | ||||||||
\(683\) | − | 4.00000i | − | 0.153056i | −0.997067 | − | 0.0765279i | \(-0.975617\pi\) | ||
0.997067 | − | 0.0765279i | \(-0.0243834\pi\) | |||||||
\(684\) | −8.00000 | −0.305888 | ||||||||
\(685\) | 14.0000 | − | 28.0000i | 0.534913 | − | 1.06983i | ||||
\(686\) | −20.0000 | −0.763604 | ||||||||
\(687\) | 6.00000i | 0.228914i | ||||||||
\(688\) | 4.00000i | 0.152499i | ||||||||
\(689\) | 20.0000 | 0.761939 | ||||||||
\(690\) | 4.00000 | − | 8.00000i | 0.152277 | − | 0.304555i | ||||
\(691\) | −32.0000 | −1.21734 | −0.608669 | − | 0.793424i | \(-0.708296\pi\) | ||||
−0.608669 | + | 0.793424i | \(0.708296\pi\) | |||||||
\(692\) | 14.0000i | 0.532200i | ||||||||
\(693\) | 12.0000i | 0.455842i | ||||||||
\(694\) | −4.00000 | −0.151838 | ||||||||
\(695\) | 40.0000 | + | 20.0000i | 1.51729 | + | 0.758643i | ||||
\(696\) | −4.00000 | −0.151620 | ||||||||
\(697\) | 12.0000i | 0.454532i | ||||||||
\(698\) | − | 2.00000i | − | 0.0757011i | ||||||
\(699\) | 18.0000 | 0.680823 | ||||||||
\(700\) | 8.00000 | − | 6.00000i | 0.302372 | − | 0.226779i | ||||
\(701\) | 16.0000 | 0.604312 | 0.302156 | − | 0.953259i | \(-0.402294\pi\) | ||||
0.302156 | + | 0.953259i | \(0.402294\pi\) | |||||||
\(702\) | − | 2.00000i | − | 0.0754851i | ||||||
\(703\) | − | 16.0000i | − | 0.603451i | ||||||
\(704\) | 6.00000 | 0.226134 | ||||||||
\(705\) | 16.0000 | + | 8.00000i | 0.602595 | + | 0.301297i | ||||
\(706\) | −18.0000 | −0.677439 | ||||||||
\(707\) | 0 | 0 | ||||||||
\(708\) | − | 6.00000i | − | 0.225494i | ||||||
\(709\) | 10.0000 | 0.375558 | 0.187779 | − | 0.982211i | \(-0.439871\pi\) | ||||
0.187779 | + | 0.982211i | \(0.439871\pi\) | |||||||
\(710\) | −16.0000 | + | 32.0000i | −0.600469 | + | 1.20094i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 10.0000i | 0.374766i | ||||||||
\(713\) | 4.00000i | 0.149801i | ||||||||
\(714\) | −12.0000 | −0.449089 | ||||||||
\(715\) | 12.0000 | − | 24.0000i | 0.448775 | − | 0.897549i | ||||
\(716\) | 18.0000 | 0.672692 | ||||||||
\(717\) | − | 20.0000i | − | 0.746914i | ||||||
\(718\) | − | 12.0000i | − | 0.447836i | ||||||
\(719\) | 8.00000 | 0.298350 | 0.149175 | − | 0.988811i | \(-0.452338\pi\) | ||||
0.149175 | + | 0.988811i | \(0.452338\pi\) | |||||||
\(720\) | −2.00000 | − | 1.00000i | −0.0745356 | − | 0.0372678i | ||||
\(721\) | −12.0000 | −0.446903 | ||||||||
\(722\) | 45.0000i | 1.67473i | ||||||||
\(723\) | 18.0000i | 0.669427i | ||||||||
\(724\) | −10.0000 | −0.371647 | ||||||||
\(725\) | 12.0000 | + | 16.0000i | 0.445669 | + | 0.594225i | ||||
\(726\) | 25.0000 | 0.927837 | ||||||||
\(727\) | 38.0000i | 1.40934i | 0.709534 | + | 0.704671i | \(0.248905\pi\) | ||||
−0.709534 | + | 0.704671i | \(0.751095\pi\) | |||||||
\(728\) | 4.00000i | 0.148250i | ||||||||
\(729\) | −1.00000 | −0.0370370 | ||||||||
\(730\) | −16.0000 | − | 8.00000i | −0.592187 | − | 0.296093i | ||||
\(731\) | −24.0000 | −0.887672 | ||||||||
\(732\) | − | 14.0000i | − | 0.517455i | ||||||
\(733\) | − | 22.0000i | − | 0.812589i | −0.913742 | − | 0.406294i | \(-0.866821\pi\) | ||
0.913742 | − | 0.406294i | \(-0.133179\pi\) | |||||||
\(734\) | 26.0000 | 0.959678 | ||||||||
\(735\) | 3.00000 | − | 6.00000i | 0.110657 | − | 0.221313i | ||||
\(736\) | 4.00000 | 0.147442 | ||||||||
\(737\) | − | 24.0000i | − | 0.884051i | ||||||
\(738\) | − | 2.00000i | − | 0.0736210i | ||||||
\(739\) | 24.0000 | 0.882854 | 0.441427 | − | 0.897297i | \(-0.354472\pi\) | ||||
0.441427 | + | 0.897297i | \(0.354472\pi\) | |||||||
\(740\) | 2.00000 | − | 4.00000i | 0.0735215 | − | 0.147043i | ||||
\(741\) | −16.0000 | −0.587775 | ||||||||
\(742\) | 20.0000i | 0.734223i | ||||||||
\(743\) | − | 24.0000i | − | 0.880475i | −0.897881 | − | 0.440237i | \(-0.854894\pi\) | ||
0.897881 | − | 0.440237i | \(-0.145106\pi\) | |||||||
\(744\) | 1.00000 | 0.0366618 | ||||||||
\(745\) | 24.0000 | + | 12.0000i | 0.879292 | + | 0.439646i | ||||
\(746\) | −22.0000 | −0.805477 | ||||||||
\(747\) | − | 4.00000i | − | 0.146352i | ||||||
\(748\) | 36.0000i | 1.31629i | ||||||||
\(749\) | 8.00000 | 0.292314 | ||||||||
\(750\) | 2.00000 | + | 11.0000i | 0.0730297 | + | 0.401663i | ||||
\(751\) | 40.0000 | 1.45962 | 0.729810 | − | 0.683650i | \(-0.239608\pi\) | ||||
0.729810 | + | 0.683650i | \(0.239608\pi\) | |||||||
\(752\) | 8.00000i | 0.291730i | ||||||||
\(753\) | − | 6.00000i | − | 0.218652i | ||||||
\(754\) | −8.00000 | −0.291343 | ||||||||
\(755\) | 16.0000 | + | 8.00000i | 0.582300 | + | 0.291150i | ||||
\(756\) | 2.00000 | 0.0727393 | ||||||||
\(757\) | 34.0000i | 1.23575i | 0.786276 | + | 0.617876i | \(0.212006\pi\) | ||||
−0.786276 | + | 0.617876i | \(0.787994\pi\) | |||||||
\(758\) | − | 36.0000i | − | 1.30758i | ||||||
\(759\) | 24.0000 | 0.871145 | ||||||||
\(760\) | −8.00000 | + | 16.0000i | −0.290191 | + | 0.580381i | ||||
\(761\) | −54.0000 | −1.95750 | −0.978749 | − | 0.205061i | \(-0.934261\pi\) | ||||
−0.978749 | + | 0.205061i | \(0.934261\pi\) | |||||||
\(762\) | − | 2.00000i | − | 0.0724524i | ||||||
\(763\) | − | 4.00000i | − | 0.144810i | ||||||
\(764\) | −8.00000 | −0.289430 | ||||||||
\(765\) | 6.00000 | − | 12.0000i | 0.216930 | − | 0.433861i | ||||
\(766\) | −16.0000 | −0.578103 | ||||||||
\(767\) | − | 12.0000i | − | 0.433295i | ||||||
\(768\) | − | 1.00000i | − | 0.0360844i | ||||||
\(769\) | 30.0000 | 1.08183 | 0.540914 | − | 0.841078i | \(-0.318079\pi\) | ||||
0.540914 | + | 0.841078i | \(0.318079\pi\) | |||||||
\(770\) | 24.0000 | + | 12.0000i | 0.864900 | + | 0.432450i | ||||
\(771\) | −14.0000 | −0.504198 | ||||||||
\(772\) | − | 20.0000i | − | 0.719816i | ||||||
\(773\) | 34.0000i | 1.22290i | 0.791285 | + | 0.611448i | \(0.209412\pi\) | ||||
−0.791285 | + | 0.611448i | \(0.790588\pi\) | |||||||
\(774\) | 4.00000 | 0.143777 | ||||||||
\(775\) | −3.00000 | − | 4.00000i | −0.107763 | − | 0.143684i | ||||
\(776\) | 16.0000 | 0.574367 | ||||||||
\(777\) | 4.00000i | 0.143499i | ||||||||
\(778\) | 16.0000i | 0.573628i | ||||||||
\(779\) | −16.0000 | −0.573259 | ||||||||
\(780\) | −4.00000 | − | 2.00000i | −0.143223 | − | 0.0716115i | ||||
\(781\) | −96.0000 | −3.43515 | ||||||||
\(782\) | 24.0000i | 0.858238i | ||||||||
\(783\) | 4.00000i | 0.142948i | ||||||||
\(784\) | 3.00000 | 0.107143 | ||||||||
\(785\) | 6.00000 | − | 12.0000i | 0.214149 | − | 0.428298i | ||||
\(786\) | 10.0000 | 0.356688 | ||||||||
\(787\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(788\) | − | 18.0000i | − | 0.641223i | ||||||
\(789\) | 12.0000 | 0.427211 | ||||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 36.0000 | 1.28001 | ||||||||
\(792\) | − | 6.00000i | − | 0.213201i | ||||||
\(793\) | − | 28.0000i | − | 0.994309i | ||||||
\(794\) | −22.0000 | −0.780751 | ||||||||
\(795\) | −20.0000 | − | 10.0000i | −0.709327 | − | 0.354663i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | − | 50.0000i | − | 1.77109i | −0.464553 | − | 0.885545i | \(-0.653785\pi\) | ||
0.464553 | − | 0.885545i | \(-0.346215\pi\) | |||||||
\(798\) | − | 16.0000i | − | 0.566394i | ||||||
\(799\) | −48.0000 | −1.69812 | ||||||||
\(800\) | −4.00000 | + | 3.00000i | −0.141421 | + | 0.106066i | ||||
\(801\) | 10.0000 | 0.353333 | ||||||||
\(802\) | 2.00000i | 0.0706225i | ||||||||
\(803\) | − | 48.0000i | − | 1.69388i | ||||||
\(804\) | −4.00000 | −0.141069 | ||||||||
\(805\) | 16.0000 | + | 8.00000i | 0.563926 | + | 0.281963i | ||||
\(806\) | 2.00000 | 0.0704470 | ||||||||
\(807\) | − | 4.00000i | − | 0.140807i | ||||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 18.0000 | 0.632846 | 0.316423 | − | 0.948618i | \(-0.397518\pi\) | ||||
0.316423 | + | 0.948618i | \(0.397518\pi\) | |||||||
\(810\) | −1.00000 | + | 2.00000i | −0.0351364 | + | 0.0702728i | ||||
\(811\) | −28.0000 | −0.983213 | −0.491606 | − | 0.870817i | \(-0.663590\pi\) | ||||
−0.491606 | + | 0.870817i | \(0.663590\pi\) | |||||||
\(812\) | − | 8.00000i | − | 0.280745i | ||||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 12.0000 | 0.420600 | ||||||||
\(815\) | −20.0000 | + | 40.0000i | −0.700569 | + | 1.40114i | ||||
\(816\) | 6.00000 | 0.210042 | ||||||||
\(817\) | − | 32.0000i | − | 1.11954i | ||||||
\(818\) | − | 22.0000i | − | 0.769212i | ||||||
\(819\) | 4.00000 | 0.139771 | ||||||||
\(820\) | −4.00000 | − | 2.00000i | −0.139686 | − | 0.0698430i | ||||
\(821\) | 36.0000 | 1.25641 | 0.628204 | − | 0.778048i | \(-0.283790\pi\) | ||||
0.628204 | + | 0.778048i | \(0.283790\pi\) | |||||||
\(822\) | − | 14.0000i | − | 0.488306i | ||||||
\(823\) | 54.0000i | 1.88232i | 0.337959 | + | 0.941161i | \(0.390263\pi\) | ||||
−0.337959 | + | 0.941161i | \(0.609737\pi\) | |||||||
\(824\) | 6.00000 | 0.209020 | ||||||||
\(825\) | −24.0000 | + | 18.0000i | −0.835573 | + | 0.626680i | ||||
\(826\) | 12.0000 | 0.417533 | ||||||||
\(827\) | 4.00000i | 0.139094i | 0.997579 | + | 0.0695468i | \(0.0221553\pi\) | ||||
−0.997579 | + | 0.0695468i | \(0.977845\pi\) | |||||||
\(828\) | − | 4.00000i | − | 0.139010i | ||||||
\(829\) | −2.00000 | −0.0694629 | −0.0347314 | − | 0.999397i | \(-0.511058\pi\) | ||||
−0.0347314 | + | 0.999397i | \(0.511058\pi\) | |||||||
\(830\) | −8.00000 | − | 4.00000i | −0.277684 | − | 0.138842i | ||||
\(831\) | 10.0000 | 0.346896 | ||||||||
\(832\) | − | 2.00000i | − | 0.0693375i | ||||||
\(833\) | 18.0000i | 0.623663i | ||||||||
\(834\) | 20.0000 | 0.692543 | ||||||||
\(835\) | 12.0000 | − | 24.0000i | 0.415277 | − | 0.830554i | ||||
\(836\) | −48.0000 | −1.66011 | ||||||||
\(837\) | − | 1.00000i | − | 0.0345651i | ||||||
\(838\) | 6.00000i | 0.207267i | ||||||||
\(839\) | 12.0000 | 0.414286 | 0.207143 | − | 0.978311i | \(-0.433583\pi\) | ||||
0.207143 | + | 0.978311i | \(0.433583\pi\) | |||||||
\(840\) | 2.00000 | − | 4.00000i | 0.0690066 | − | 0.138013i | ||||
\(841\) | −13.0000 | −0.448276 | ||||||||
\(842\) | − | 2.00000i | − | 0.0689246i | ||||||
\(843\) | − | 22.0000i | − | 0.757720i | ||||||
\(844\) | 20.0000 | 0.688428 | ||||||||
\(845\) | 18.0000 | + | 9.00000i | 0.619219 | + | 0.309609i | ||||
\(846\) | 8.00000 | 0.275046 | ||||||||
\(847\) | 50.0000i | 1.71802i | ||||||||
\(848\) | − | 10.0000i | − | 0.343401i | ||||||
\(849\) | 20.0000 | 0.686398 | ||||||||
\(850\) | −18.0000 | − | 24.0000i | −0.617395 | − | 0.823193i | ||||
\(851\) | 8.00000 | 0.274236 | ||||||||
\(852\) | 16.0000i | 0.548151i | ||||||||
\(853\) | − | 22.0000i | − | 0.753266i | −0.926363 | − | 0.376633i | \(-0.877082\pi\) | ||
0.926363 | − | 0.376633i | \(-0.122918\pi\) | |||||||
\(854\) | 28.0000 | 0.958140 | ||||||||
\(855\) | 16.0000 | + | 8.00000i | 0.547188 | + | 0.273594i | ||||
\(856\) | −4.00000 | −0.136717 | ||||||||
\(857\) | 46.0000i | 1.57133i | 0.618652 | + | 0.785665i | \(0.287679\pi\) | ||||
−0.618652 | + | 0.785665i | \(0.712321\pi\) | |||||||
\(858\) | − | 12.0000i | − | 0.409673i | ||||||
\(859\) | −4.00000 | −0.136478 | −0.0682391 | − | 0.997669i | \(-0.521738\pi\) | ||||
−0.0682391 | + | 0.997669i | \(0.521738\pi\) | |||||||
\(860\) | 4.00000 | − | 8.00000i | 0.136399 | − | 0.272798i | ||||
\(861\) | 4.00000 | 0.136320 | ||||||||
\(862\) | 12.0000i | 0.408722i | ||||||||
\(863\) | − | 44.0000i | − | 1.49778i | −0.662696 | − | 0.748889i | \(-0.730588\pi\) | ||
0.662696 | − | 0.748889i | \(-0.269412\pi\) | |||||||
\(864\) | −1.00000 | −0.0340207 | ||||||||
\(865\) | 14.0000 | − | 28.0000i | 0.476014 | − | 0.952029i | ||||
\(866\) | 8.00000 | 0.271851 | ||||||||
\(867\) | 19.0000i | 0.645274i | ||||||||
\(868\) | 2.00000i | 0.0678844i | ||||||||
\(869\) | 0 | 0 | ||||||||
\(870\) | 8.00000 | + | 4.00000i | 0.271225 | + | 0.135613i | ||||
\(871\) | −8.00000 | −0.271070 | ||||||||
\(872\) | 2.00000i | 0.0677285i | ||||||||
\(873\) | − | 16.0000i | − | 0.541518i | ||||||
\(874\) | −32.0000 | −1.08242 | ||||||||
\(875\) | −22.0000 | + | 4.00000i | −0.743736 | + | 0.135225i | ||||
\(876\) | −8.00000 | −0.270295 | ||||||||
\(877\) | − | 30.0000i | − | 1.01303i | −0.862232 | − | 0.506514i | \(-0.830934\pi\) | ||
0.862232 | − | 0.506514i | \(-0.169066\pi\) | |||||||
\(878\) | − | 32.0000i | − | 1.07995i | ||||||
\(879\) | 6.00000 | 0.202375 | ||||||||
\(880\) | −12.0000 | − | 6.00000i | −0.404520 | − | 0.202260i | ||||
\(881\) | 18.0000 | 0.606435 | 0.303218 | − | 0.952921i | \(-0.401939\pi\) | ||||
0.303218 | + | 0.952921i | \(0.401939\pi\) | |||||||
\(882\) | − | 3.00000i | − | 0.101015i | ||||||
\(883\) | − | 56.0000i | − | 1.88455i | −0.334840 | − | 0.942275i | \(-0.608682\pi\) | ||
0.334840 | − | 0.942275i | \(-0.391318\pi\) | |||||||
\(884\) | 12.0000 | 0.403604 | ||||||||
\(885\) | −6.00000 | + | 12.0000i | −0.201688 | + | 0.403376i | ||||
\(886\) | 4.00000 | 0.134383 | ||||||||
\(887\) | 12.0000i | 0.402921i | 0.979497 | + | 0.201460i | \(0.0645687\pi\) | ||||
−0.979497 | + | 0.201460i | \(0.935431\pi\) | |||||||
\(888\) | − | 2.00000i | − | 0.0671156i | ||||||
\(889\) | 4.00000 | 0.134156 | ||||||||
\(890\) | 10.0000 | − | 20.0000i | 0.335201 | − | 0.670402i | ||||
\(891\) | −6.00000 | −0.201008 | ||||||||
\(892\) | 14.0000i | 0.468755i | ||||||||
\(893\) | − | 64.0000i | − | 2.14168i | ||||||
\(894\) | 12.0000 | 0.401340 | ||||||||
\(895\) | −36.0000 | − | 18.0000i | −1.20335 | − | 0.601674i | ||||
\(896\) | 2.00000 | 0.0668153 | ||||||||
\(897\) | − | 8.00000i | − | 0.267112i | ||||||
\(898\) | − | 26.0000i | − | 0.867631i | ||||||
\(899\) | −4.00000 | −0.133407 | ||||||||
\(900\) | 3.00000 | + | 4.00000i | 0.100000 | + | 0.133333i | ||||
\(901\) | 60.0000 | 1.99889 | ||||||||
\(902\) | − | 12.0000i | − | 0.399556i | ||||||
\(903\) | 8.00000i | 0.266223i | ||||||||
\(904\) | −18.0000 | −0.598671 | ||||||||
\(905\) | 20.0000 | + | 10.0000i | 0.664822 | + | 0.332411i | ||||
\(906\) | 8.00000 | 0.265782 | ||||||||
\(907\) | − | 24.0000i | − | 0.796907i | −0.917189 | − | 0.398453i | \(-0.869547\pi\) | ||
0.917189 | − | 0.398453i | \(-0.130453\pi\) | |||||||
\(908\) | 12.0000i | 0.398234i | ||||||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 4.00000 | − | 8.00000i | 0.132599 | − | 0.265197i | ||||
\(911\) | −16.0000 | −0.530104 | −0.265052 | − | 0.964234i | \(-0.585389\pi\) | ||||
−0.265052 | + | 0.964234i | \(0.585389\pi\) | |||||||
\(912\) | 8.00000i | 0.264906i | ||||||||
\(913\) | − | 24.0000i | − | 0.794284i | ||||||
\(914\) | 12.0000 | 0.396925 | ||||||||
\(915\) | −14.0000 | + | 28.0000i | −0.462826 | + | 0.925651i | ||||
\(916\) | 6.00000 | 0.198246 | ||||||||
\(917\) | 20.0000i | 0.660458i | ||||||||
\(918\) | − | 6.00000i | − | 0.198030i | ||||||
\(919\) | 16.0000 | 0.527791 | 0.263896 | − | 0.964551i | \(-0.414993\pi\) | ||||
0.263896 | + | 0.964551i | \(0.414993\pi\) | |||||||
\(920\) | −8.00000 | − | 4.00000i | −0.263752 | − | 0.131876i | ||||
\(921\) | −8.00000 | −0.263609 | ||||||||
\(922\) | − | 32.0000i | − | 1.05386i | ||||||
\(923\) | 32.0000i | 1.05329i | ||||||||
\(924\) | 12.0000 | 0.394771 | ||||||||
\(925\) | −8.00000 | + | 6.00000i | −0.263038 | + | 0.197279i | ||||
\(926\) | 26.0000 | 0.854413 | ||||||||
\(927\) | − | 6.00000i | − | 0.197066i | ||||||
\(928\) | 4.00000i | 0.131306i | ||||||||
\(929\) | −50.0000 | −1.64045 | −0.820223 | − | 0.572043i | \(-0.806151\pi\) | ||||
−0.820223 | + | 0.572043i | \(0.806151\pi\) | |||||||
\(930\) | −2.00000 | − | 1.00000i | −0.0655826 | − | 0.0327913i | ||||
\(931\) | −24.0000 | −0.786568 | ||||||||
\(932\) | − | 18.0000i | − | 0.589610i | ||||||
\(933\) | 8.00000i | 0.261908i | ||||||||
\(934\) | 4.00000 | 0.130884 | ||||||||
\(935\) | 36.0000 | − | 72.0000i | 1.17733 | − | 2.35465i | ||||
\(936\) | −2.00000 | −0.0653720 | ||||||||
\(937\) | − | 16.0000i | − | 0.522697i | −0.965244 | − | 0.261349i | \(-0.915833\pi\) | ||
0.965244 | − | 0.261349i | \(-0.0841672\pi\) | |||||||
\(938\) | − | 8.00000i | − | 0.261209i | ||||||
\(939\) | −24.0000 | −0.783210 | ||||||||
\(940\) | 8.00000 | − | 16.0000i | 0.260931 | − | 0.521862i | ||||
\(941\) | 16.0000 | 0.521585 | 0.260793 | − | 0.965395i | \(-0.416016\pi\) | ||||
0.260793 | + | 0.965395i | \(0.416016\pi\) | |||||||
\(942\) | − | 6.00000i | − | 0.195491i | ||||||
\(943\) | − | 8.00000i | − | 0.260516i | ||||||
\(944\) | −6.00000 | −0.195283 | ||||||||
\(945\) | −4.00000 | − | 2.00000i | −0.130120 | − | 0.0650600i | ||||
\(946\) | 24.0000 | 0.780307 | ||||||||
\(947\) | 44.0000i | 1.42981i | 0.699223 | + | 0.714904i | \(0.253530\pi\) | ||||
−0.699223 | + | 0.714904i | \(0.746470\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −16.0000 | −0.519382 | ||||||||
\(950\) | 32.0000 | − | 24.0000i | 1.03822 | − | 0.778663i | ||||
\(951\) | −18.0000 | −0.583690 | ||||||||
\(952\) | 12.0000i | 0.388922i | ||||||||
\(953\) | 38.0000i | 1.23094i | 0.788160 | + | 0.615470i | \(0.211034\pi\) | ||||
−0.788160 | + | 0.615470i | \(0.788966\pi\) | |||||||
\(954\) | −10.0000 | −0.323762 | ||||||||
\(955\) | 16.0000 | + | 8.00000i | 0.517748 | + | 0.258874i | ||||
\(956\) | −20.0000 | −0.646846 | ||||||||
\(957\) | 24.0000i | 0.775810i | ||||||||
\(958\) | 40.0000i | 1.29234i | ||||||||
\(959\) | 28.0000 | 0.904167 | ||||||||
\(960\) | −1.00000 | + | 2.00000i | −0.0322749 | + | 0.0645497i | ||||
\(961\) | 1.00000 | 0.0322581 | ||||||||
\(962\) | − | 4.00000i | − | 0.128965i | ||||||
\(963\) | 4.00000i | 0.128898i | ||||||||
\(964\) | 18.0000 | 0.579741 | ||||||||
\(965\) | −20.0000 | + | 40.0000i | −0.643823 | + | 1.28765i | ||||
\(966\) | 8.00000 | 0.257396 | ||||||||
\(967\) | 14.0000i | 0.450210i | 0.974335 | + | 0.225105i | \(0.0722725\pi\) | ||||
−0.974335 | + | 0.225105i | \(0.927728\pi\) | |||||||
\(968\) | − | 25.0000i | − | 0.803530i | ||||||
\(969\) | −48.0000 | −1.54198 | ||||||||
\(970\) | −32.0000 | − | 16.0000i | −1.02746 | − | 0.513729i | ||||
\(971\) | −30.0000 | −0.962746 | −0.481373 | − | 0.876516i | \(-0.659862\pi\) | ||||
−0.481373 | + | 0.876516i | \(0.659862\pi\) | |||||||
\(972\) | 1.00000i | 0.0320750i | ||||||||
\(973\) | 40.0000i | 1.28234i | ||||||||
\(974\) | 14.0000 | 0.448589 | ||||||||
\(975\) | 6.00000 | + | 8.00000i | 0.192154 | + | 0.256205i | ||||
\(976\) | −14.0000 | −0.448129 | ||||||||
\(977\) | 30.0000i | 0.959785i | 0.877327 | + | 0.479893i | \(0.159324\pi\) | ||||
−0.877327 | + | 0.479893i | \(0.840676\pi\) | |||||||
\(978\) | 20.0000i | 0.639529i | ||||||||
\(979\) | 60.0000 | 1.91761 | ||||||||
\(980\) | −6.00000 | − | 3.00000i | −0.191663 | − | 0.0958315i | ||||
\(981\) | 2.00000 | 0.0638551 | ||||||||
\(982\) | 30.0000i | 0.957338i | ||||||||
\(983\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(984\) | −2.00000 | −0.0637577 | ||||||||
\(985\) | −18.0000 | + | 36.0000i | −0.573528 | + | 1.14706i | ||||
\(986\) | −24.0000 | −0.764316 | ||||||||
\(987\) | 16.0000i | 0.509286i | ||||||||
\(988\) | 16.0000i | 0.509028i | ||||||||
\(989\) | 16.0000 | 0.508770 | ||||||||
\(990\) | −6.00000 | + | 12.0000i | −0.190693 | + | 0.381385i | ||||
\(991\) | 16.0000 | 0.508257 | 0.254128 | − | 0.967170i | \(-0.418211\pi\) | ||||
0.254128 | + | 0.967170i | \(0.418211\pi\) | |||||||
\(992\) | − | 1.00000i | − | 0.0317500i | ||||||
\(993\) | − | 8.00000i | − | 0.253872i | ||||||
\(994\) | −32.0000 | −1.01498 | ||||||||
\(995\) | 0 | 0 | ||||||||
\(996\) | −4.00000 | −0.126745 | ||||||||
\(997\) | − | 30.0000i | − | 0.950110i | −0.879956 | − | 0.475055i | \(-0.842428\pi\) | ||
0.879956 | − | 0.475055i | \(-0.157572\pi\) | |||||||
\(998\) | 32.0000i | 1.01294i | ||||||||
\(999\) | −2.00000 | −0.0632772 |
(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 | 930.2.d.e.559.2 | yes | 2 | |
3.2 | odd | 2 | 2790.2.d.c.559.1 | 2 | |||
5.2 | odd | 4 | 4650.2.a.c.1.1 | 1 | |||
5.3 | odd | 4 | 4650.2.a.bs.1.1 | 1 | |||
5.4 | even | 2 | inner | 930.2.d.e.559.1 | ✓ | 2 | |
15.14 | odd | 2 | 2790.2.d.c.559.2 | 2 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
930.2.d.e.559.1 | ✓ | 2 | 5.4 | even | 2 | inner | |
930.2.d.e.559.2 | yes | 2 | 1.1 | even | 1 | trivial | |
2790.2.d.c.559.1 | 2 | 3.2 | odd | 2 | |||
2790.2.d.c.559.2 | 2 | 15.14 | odd | 2 | |||
4650.2.a.c.1.1 | 1 | 5.2 | odd | 4 | |||
4650.2.a.bs.1.1 | 1 | 5.3 | odd | 4 |