Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [280,2,Mod(81,280)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(280, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 0, 0, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("280.81");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 280 = 2^{3} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 280.q (of order \(3\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.23581125660\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{3})\) |
Coefficient field: | 6.0.11337408.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} + 18x^{4} + 81x^{2} + 12 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 121.3 | ||
Root | \(2.78499i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 280.121 |
Dual form | 280.2.q.e.81.3 |
$q$-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 \(\left(\mathbb{Z}/280\mathbb{Z}\right)^\times\).
\(n\) | \(57\) | \(71\) | \(141\) | \(241\) |
\(\chi(n)\) | \(1\) | \(1\) | \(1\) | \(e\left(\frac{1}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | 1.64497 | + | 2.84918i | 0.949725 | + | 1.64497i | 0.746002 | + | 0.665944i | \(0.231971\pi\) |
0.203724 | + | 0.979028i | \(0.434696\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −0.500000 | + | 0.866025i | −0.223607 | + | 0.387298i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 2.64497 | + | 0.0641892i | 0.999706 | + | 0.0242612i | ||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −3.91187 | + | 6.77556i | −1.30396 | + | 2.25852i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −2.91187 | − | 5.04351i | −0.877962 | − | 1.52067i | −0.853574 | − | 0.520972i | \(-0.825570\pi\) |
−0.0243876 | − | 0.999703i | \(-0.507764\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 2.75615 | 0.764419 | 0.382209 | − | 0.924076i | \(-0.375163\pi\) | ||||
0.382209 | + | 0.924076i | \(0.375163\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −3.28995 | −0.849460 | ||||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −1.00000 | − | 1.73205i | −0.242536 | − | 0.420084i | 0.718900 | − | 0.695113i | \(-0.244646\pi\) |
−0.961436 | + | 0.275029i | \(0.911312\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 0.378076 | − | 0.654846i | 0.0867365 | − | 0.150232i | −0.819393 | − | 0.573232i | \(-0.805690\pi\) |
0.906130 | + | 0.423000i | \(0.139023\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 4.16802 | + | 7.64158i | 0.909537 | + | 1.66753i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 0.266897 | − | 0.462279i | 0.0556518 | − | 0.0963918i | −0.836857 | − | 0.547421i | \(-0.815610\pi\) |
0.892509 | + | 0.451029i | \(0.148943\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.500000 | − | 0.866025i | −0.100000 | − | 0.173205i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −15.8698 | −3.05415 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −0.823739 | −0.152964 | −0.0764822 | − | 0.997071i | \(-0.524369\pi\) | ||||
−0.0764822 | + | 0.997071i | \(0.524369\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 1.28995 | + | 2.23425i | 0.231681 | + | 0.401283i | 0.958303 | − | 0.285754i | \(-0.0922441\pi\) |
−0.726622 | + | 0.687038i | \(0.758911\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 9.57989 | − | 16.5929i | 1.66764 | − | 2.88845i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −1.37808 | + | 2.25852i | −0.232937 | + | 0.381759i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −2.37808 | + | 4.11895i | −0.390953 | + | 0.677151i | −0.992576 | − | 0.121630i | \(-0.961188\pi\) |
0.601622 | + | 0.798781i | \(0.294521\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 4.53379 | + | 7.85276i | 0.725988 | + | 1.25745i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 6.06759 | 0.947598 | 0.473799 | − | 0.880633i | \(-0.342882\pi\) | ||||
0.473799 | + | 0.880633i | \(0.342882\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 0.710055 | 0.108282 | 0.0541412 | − | 0.998533i | \(-0.482758\pi\) | ||||
0.0541412 | + | 0.998533i | \(0.482758\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −3.91187 | − | 6.77556i | −0.583147 | − | 1.01004i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 6.44566 | − | 11.1642i | 0.940197 | − | 1.62847i | 0.175102 | − | 0.984550i | \(-0.443974\pi\) |
0.765095 | − | 0.643918i | \(-0.222692\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 6.99176 | + | 0.339557i | 0.998823 | + | 0.0485082i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 3.28995 | − | 5.69835i | 0.460684 | − | 0.797929i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 4.20181 | + | 7.27776i | 0.577164 | + | 0.999677i | 0.995803 | + | 0.0915241i | \(0.0291738\pi\) |
−0.418639 | + | 0.908153i | \(0.637493\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 5.82374 | 0.785273 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 2.48770 | 0.329504 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −4.00000 | − | 6.92820i | −0.520756 | − | 0.901975i | −0.999709 | − | 0.0241347i | \(-0.992317\pi\) |
0.478953 | − | 0.877841i | \(-0.341016\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −4.70181 | + | 8.14378i | −0.602006 | + | 1.04270i | 0.390511 | + | 0.920598i | \(0.372298\pi\) |
−0.992517 | + | 0.122106i | \(0.961035\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −10.7817 | + | 17.6701i | −1.35837 | + | 2.22622i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −1.37808 | + | 2.38690i | −0.170929 | + | 0.296058i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −5.93492 | − | 10.2796i | −0.725066 | − | 1.25585i | −0.958947 | − | 0.283585i | \(-0.908476\pi\) |
0.233881 | − | 0.972265i | \(-0.424857\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 1.75615 | 0.211416 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −1.75615 | − | 3.04174i | −0.205542 | − | 0.356009i | 0.744763 | − | 0.667329i | \(-0.232562\pi\) |
−0.950305 | + | 0.311320i | \(0.899229\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 1.64497 | − | 2.84918i | 0.189945 | − | 0.328995i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −7.37808 | − | 13.5268i | −0.840810 | − | 1.54153i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 4.75615 | − | 8.23790i | 0.535109 | − | 0.926836i | −0.464049 | − | 0.885809i | \(-0.653604\pi\) |
0.999158 | − | 0.0410263i | \(-0.0130627\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −14.3698 | − | 24.8893i | −1.59665 | − | 2.76548i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −6.71005 | −0.736524 | −0.368262 | − | 0.929722i | \(-0.620047\pi\) | ||||
−0.368262 | + | 0.929722i | \(0.620047\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 2.00000 | 0.216930 | ||||||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −1.35503 | − | 2.34698i | −0.145274 | − | 0.251622i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −0.878076 | + | 1.52087i | −0.0930758 | + | 0.161212i | −0.908804 | − | 0.417223i | \(-0.863003\pi\) |
0.815728 | + | 0.578436i | \(0.196337\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 7.28995 | + | 0.176915i | 0.764194 | + | 0.0185458i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −4.24385 | + | 7.35056i | −0.440067 | + | 0.762218i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 0.378076 | + | 0.654846i | 0.0387898 | + | 0.0671858i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −2.00000 | −0.203069 | −0.101535 | − | 0.994832i | \(-0.532375\pi\) | ||||
−0.101535 | + | 0.994832i | \(0.532375\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 45.5634 | 4.57929 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −1.16802 | − | 2.02307i | −0.116222 | − | 0.201303i | 0.802045 | − | 0.597263i | \(-0.203745\pi\) |
−0.918268 | + | 0.395960i | \(0.870412\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 1.11118 | − | 1.92462i | 0.109488 | − | 0.189638i | −0.806075 | − | 0.591813i | \(-0.798412\pi\) |
0.915563 | + | 0.402175i | \(0.131746\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −8.70181 | − | 0.211179i | −0.849210 | − | 0.0206090i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −7.93492 | + | 13.7437i | −0.767097 | + | 1.32865i | 0.172033 | + | 0.985091i | \(0.444966\pi\) |
−0.939131 | + | 0.343561i | \(0.888367\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 1.63423 | + | 2.83056i | 0.156531 | + | 0.271119i | 0.933615 | − | 0.358277i | \(-0.116636\pi\) |
−0.777085 | + | 0.629396i | \(0.783302\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −15.6475 | −1.48519 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −13.1598 | −1.23797 | −0.618984 | − | 0.785404i | \(-0.712455\pi\) | ||||
−0.618984 | + | 0.785404i | \(0.712455\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0.266897 | + | 0.462279i | 0.0248883 | + | 0.0431077i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −10.7817 | + | 18.6745i | −0.996769 | + | 1.72645i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −2.53379 | − | 4.64542i | −0.232272 | − | 0.425845i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −11.4580 | + | 19.8458i | −1.04163 | + | 1.80416i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 9.98101 | + | 17.2876i | 0.899958 | + | 1.55877i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 1.00000 | 0.0894427 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 11.9159 | 1.05737 | 0.528684 | − | 0.848819i | \(-0.322686\pi\) | ||||
0.528684 | + | 0.848819i | \(0.322686\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 1.16802 | + | 2.02307i | 0.102839 | + | 0.178122i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −10.7817 | + | 18.6745i | −0.942002 | + | 1.63160i | −0.180356 | + | 0.983601i | \(0.557725\pi\) |
−0.761646 | + | 0.647994i | \(0.775608\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 1.04203 | − | 1.70778i | 0.0903558 | − | 0.148084i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 7.93492 | − | 13.7437i | 0.682929 | − | 1.18287i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −2.00000 | − | 3.46410i | −0.170872 | − | 0.295958i | 0.767853 | − | 0.640626i | \(-0.221325\pi\) |
−0.938725 | + | 0.344668i | \(0.887992\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 6.57989 | 0.558099 | 0.279049 | − | 0.960277i | \(-0.409981\pi\) | ||||
0.279049 | + | 0.960277i | \(0.409981\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 42.4118 | 3.57171 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −8.02555 | − | 13.9007i | −0.671130 | − | 1.16243i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 0.411869 | − | 0.713379i | 0.0342039 | − | 0.0592429i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 10.5338 | + | 20.4793i | 0.868813 | + | 1.68911i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −0.0543371 | + | 0.0941146i | −0.00445147 | + | 0.00771017i | −0.868243 | − | 0.496140i | \(-0.834750\pi\) |
0.863791 | + | 0.503850i | \(0.168084\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 6.53379 | + | 11.3169i | 0.531713 | + | 0.920953i | 0.999315 | + | 0.0370142i | \(0.0117847\pi\) |
−0.467602 | + | 0.883939i | \(0.654882\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 15.6475 | 1.26502 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −2.57989 | −0.207222 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −4.44566 | − | 7.70011i | −0.354803 | − | 0.614536i | 0.632282 | − | 0.774739i | \(-0.282119\pi\) |
−0.987084 | + | 0.160203i | \(0.948785\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −13.8237 | + | 23.9434i | −1.09629 | + | 1.89884i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 0.735608 | − | 1.20558i | 0.0579740 | − | 0.0950132i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 5.75615 | − | 9.96995i | 0.450857 | − | 0.780907i | −0.547583 | − | 0.836751i | \(-0.684452\pi\) |
0.998439 | + | 0.0558449i | \(0.0177853\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 9.57989 | + | 16.5929i | 0.745793 | + | 1.29175i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 1.46621 | 0.113458 | 0.0567292 | − | 0.998390i | \(-0.481933\pi\) | ||||
0.0567292 | + | 0.998390i | \(0.481933\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −5.40363 | −0.415664 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 2.95797 | + | 5.12335i | 0.226201 | + | 0.391792i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 5.62192 | − | 9.73746i | 0.427427 | − | 0.740325i | −0.569217 | − | 0.822188i | \(-0.692753\pi\) |
0.996644 | + | 0.0818623i | \(0.0260868\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −1.26690 | − | 2.32271i | −0.0957684 | − | 0.175580i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 13.1598 | − | 22.7934i | 0.989150 | − | 1.71326i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −3.66802 | − | 6.35320i | −0.274161 | − | 0.474860i | 0.695762 | − | 0.718272i | \(-0.255067\pi\) |
−0.969923 | + | 0.243412i | \(0.921733\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −18.4712 | −1.37295 | −0.686477 | − | 0.727151i | \(-0.740844\pi\) | ||||
−0.686477 | + | 0.727151i | \(0.740844\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −30.9374 | −2.28696 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −2.37808 | − | 4.11895i | −0.174840 | − | 0.302831i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −5.82374 | + | 10.0870i | −0.425874 | + | 0.737635i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −41.9753 | − | 1.01867i | −3.05325 | − | 0.0740975i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −7.28995 | + | 12.6266i | −0.527482 | + | 0.913625i | 0.472005 | + | 0.881596i | \(0.343530\pi\) |
−0.999487 | + | 0.0320296i | \(0.989803\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 9.40363 | + | 16.2876i | 0.676888 | + | 1.17240i | 0.975913 | + | 0.218159i | \(0.0700052\pi\) |
−0.299025 | + | 0.954245i | \(0.596661\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −9.06759 | −0.649343 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 2.75615 | 0.196368 | 0.0981838 | − | 0.995168i | \(-0.468697\pi\) | ||||
0.0981838 | + | 0.995168i | \(0.468697\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −7.51230 | − | 13.0117i | −0.532533 | − | 0.922374i | −0.999278 | − | 0.0379825i | \(-0.987907\pi\) |
0.466745 | − | 0.884392i | \(-0.345426\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 19.5256 | − | 33.8192i | 1.37723 | − | 2.38543i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −2.17877 | − | 0.0528751i | −0.152919 | − | 0.00371111i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −3.03379 | + | 5.25468i | −0.211889 | + | 0.367003i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 2.08813 | + | 3.61675i | 0.145135 | + | 0.251381i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −4.40363 | −0.304605 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −21.9159 | −1.50875 | −0.754377 | − | 0.656441i | \(-0.772061\pi\) | ||||
−0.754377 | + | 0.656441i | \(0.772061\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −0.355027 | + | 0.614926i | −0.0242127 | + | 0.0419376i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 3.26845 | + | 5.99233i | 0.221877 | + | 0.406786i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 5.77764 | − | 10.0072i | 0.390417 | − | 0.676222i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −2.75615 | − | 4.77379i | −0.185399 | − | 0.321120i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 18.8073 | 1.25943 | 0.629714 | − | 0.776827i | \(-0.283172\pi\) | ||||
0.629714 | + | 0.776827i | \(0.283172\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 7.82374 | 0.521583 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −8.33604 | − | 14.4384i | −0.553283 | − | 0.958313i | −0.998035 | − | 0.0626599i | \(-0.980042\pi\) |
0.444752 | − | 0.895654i | \(-0.353292\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −9.75615 | + | 16.8982i | −0.644705 | + | 1.11666i | 0.339665 | + | 0.940546i | \(0.389686\pi\) |
−0.984370 | + | 0.176115i | \(0.943647\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 26.4036 | − | 43.2727i | 1.73723 | − | 2.84714i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −9.00000 | + | 15.5885i | −0.589610 | + | 1.02123i | 0.404674 | + | 0.914461i | \(0.367385\pi\) |
−0.994283 | + | 0.106773i | \(0.965948\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 6.44566 | + | 11.1642i | 0.420469 | + | 0.728273i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 31.2950 | 2.03283 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −16.0922 | −1.04092 | −0.520459 | − | 0.853887i | \(-0.674239\pi\) | ||||
−0.520459 | + | 0.853887i | \(0.674239\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −0.445663 | − | 0.771911i | −0.0287077 | − | 0.0497231i | 0.851315 | − | 0.524655i | \(-0.175806\pi\) |
−0.880022 | + | 0.474932i | \(0.842473\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 23.4712 | − | 40.6533i | 1.50568 | − | 2.60791i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −3.78995 | + | 5.88526i | −0.242131 | + | 0.375996i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 1.04203 | − | 1.80486i | 0.0663030 | − | 0.114840i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −11.0379 | − | 19.1181i | −0.699496 | − | 1.21156i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 17.4712 | 1.10277 | 0.551387 | − | 0.834250i | \(-0.314099\pi\) | ||||
0.551387 | + | 0.834250i | \(0.314099\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −3.10867 | −0.195441 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 3.28995 | + | 5.69835i | 0.206024 | + | 0.356845i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 3.51230 | − | 6.08349i | 0.219091 | − | 0.379478i | −0.735439 | − | 0.677591i | \(-0.763024\pi\) |
0.954530 | + | 0.298113i | \(0.0963574\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −6.55434 | + | 10.7419i | −0.407267 | + | 0.667467i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 3.22236 | − | 5.58129i | 0.199459 | − | 0.345473i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −8.88882 | − | 15.3959i | −0.548108 | − | 0.949351i | −0.998404 | − | 0.0564719i | \(-0.982015\pi\) |
0.450296 | − | 0.892879i | \(-0.351318\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −8.40363 | −0.516231 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −5.77764 | −0.353586 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 4.70181 | + | 8.14378i | 0.286675 | + | 0.496535i | 0.973014 | − | 0.230746i | \(-0.0741168\pi\) |
−0.686339 | + | 0.727282i | \(0.740783\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −3.51230 | + | 6.08349i | −0.213357 | + | 0.369546i | −0.952763 | − | 0.303714i | \(-0.901773\pi\) |
0.739406 | + | 0.673260i | \(0.235106\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 11.4877 | + | 21.0614i | 0.695267 | + | 1.27469i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −2.91187 | + | 5.04351i | −0.175592 | + | 0.304135i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −13.5799 | − | 23.5211i | −0.815937 | − | 1.41324i | −0.908653 | − | 0.417551i | \(-0.862889\pi\) |
0.0927170 | − | 0.995693i | \(-0.470445\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −20.1844 | −1.20841 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −0.620977 | −0.0370444 | −0.0185222 | − | 0.999828i | \(-0.505896\pi\) | ||||
−0.0185222 | + | 0.999828i | \(0.505896\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −1.57989 | − | 2.73645i | −0.0939147 | − | 0.162665i | 0.815240 | − | 0.579123i | \(-0.196605\pi\) |
−0.909155 | + | 0.416458i | \(0.863271\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −1.24385 | + | 2.15441i | −0.0736792 | + | 0.127616i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 16.0486 | + | 0.389474i | 0.947319 | + | 0.0229899i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 6.50000 | − | 11.2583i | 0.382353 | − | 0.662255i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −3.28995 | − | 5.69835i | −0.192860 | − | 0.334043i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 11.2438 | 0.656873 | 0.328436 | − | 0.944526i | \(-0.393478\pi\) | ||||
0.328436 | + | 0.944526i | \(0.393478\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 8.00000 | 0.465778 | ||||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 46.2109 | + | 80.0396i | 2.68143 | + | 4.64437i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 0.735608 | − | 1.27411i | 0.0425413 | − | 0.0736837i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 1.87808 | + | 0.0455779i | 0.108250 | + | 0.00262706i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 3.84272 | − | 6.65579i | 0.220759 | − | 0.382365i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −4.70181 | − | 8.14378i | −0.269225 | − | 0.466312i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 23.5173 | 1.34220 | 0.671102 | − | 0.741365i | \(-0.265821\pi\) | ||||
0.671102 | + | 0.741365i | \(0.265821\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 7.31144 | 0.415933 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 14.5799 | + | 25.2531i | 0.826750 | + | 1.43197i | 0.900575 | + | 0.434701i | \(0.143146\pi\) |
−0.0738250 | + | 0.997271i | \(0.523521\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 12.0922 | − | 20.9443i | 0.683491 | − | 1.18384i | −0.290417 | − | 0.956900i | \(-0.593794\pi\) |
0.973908 | − | 0.226941i | \(-0.0728726\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −9.91187 | − | 18.1723i | −0.558471 | − | 1.02389i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −6.06759 | + | 10.5094i | −0.340790 | + | 0.590265i | −0.984580 | − | 0.174937i | \(-0.944028\pi\) |
0.643790 | + | 0.765202i | \(0.277361\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 2.39862 | + | 4.15453i | 0.134297 | + | 0.232609i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −52.2109 | −2.91413 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −1.51230 | −0.0841468 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −1.37808 | − | 2.38690i | −0.0764419 | − | 0.132401i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −5.37652 | + | 9.31240i | −0.297322 | + | 0.514977i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 17.7652 | − | 29.1153i | 0.979428 | − | 1.60518i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 0.911869 | − | 1.57940i | 0.0501209 | − | 0.0868119i | −0.839877 | − | 0.542778i | \(-0.817373\pi\) |
0.889997 | + | 0.455966i | \(0.150706\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −18.6054 | − | 32.2256i | −1.01957 | − | 1.76595i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 11.8698 | 0.648518 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −17.7827 | −0.968683 | −0.484341 | − | 0.874879i | \(-0.660941\pi\) | ||||
−0.484341 | + | 0.874879i | \(0.660941\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −21.6475 | − | 37.4945i | −1.17573 | − | 2.03642i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 7.51230 | − | 13.0117i | 0.406814 | − | 0.704623i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 18.4712 | + | 1.34692i | 0.997352 | + | 0.0727266i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −0.878076 | + | 1.52087i | −0.0472740 | + | 0.0818810i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 0.644973 | + | 1.11713i | 0.0346239 | + | 0.0599704i | 0.882818 | − | 0.469715i | \(-0.155643\pi\) |
−0.848194 | + | 0.529685i | \(0.822310\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 1.31144 | 0.0701995 | 0.0350998 | − | 0.999384i | \(-0.488825\pi\) | ||||
0.0350998 | + | 0.999384i | \(0.488825\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −43.7397 | −2.33465 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 5.51230 | + | 9.54759i | 0.293390 | + | 0.508167i | 0.974609 | − | 0.223913i | \(-0.0718831\pi\) |
−0.681219 | + | 0.732080i | \(0.738550\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 0 | 0 | ||||||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 9.06759 | − | 14.8608i | 0.479908 | − | 0.786517i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −5.11368 | + | 8.85716i | −0.269890 | + | 0.467463i | −0.968833 | − | 0.247714i | \(-0.920321\pi\) |
0.698943 | + | 0.715177i | \(0.253654\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 9.21412 | + | 15.9593i | 0.484954 | + | 0.839964i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −75.3922 | −3.95706 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 3.51230 | 0.183842 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −8.67053 | − | 15.0178i | −0.452598 | − | 0.783922i | 0.545949 | − | 0.837819i | \(-0.316169\pi\) |
−0.998547 | + | 0.0538962i | \(0.982836\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −23.7356 | + | 41.1113i | −1.23563 | + | 2.14017i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 10.6465 | + | 19.5192i | 0.552740 | + | 1.01339i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 8.89133 | − | 15.4002i | 0.460375 | − | 0.797394i | −0.538604 | − | 0.842559i | \(-0.681048\pi\) |
0.998980 | + | 0.0451654i | \(0.0143815\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 1.64497 | + | 2.84918i | 0.0849460 | + | 0.147131i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −2.27035 | −0.116929 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −33.2109 | −1.70593 | −0.852964 | − | 0.521969i | \(-0.825198\pi\) | ||||
−0.852964 | + | 0.521969i | \(0.825198\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 19.6014 | + | 33.9506i | 1.00421 | + | 1.73934i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −7.38058 | + | 12.7835i | −0.377130 | + | 0.653208i | −0.990643 | − | 0.136476i | \(-0.956422\pi\) |
0.613513 | + | 0.789684i | \(0.289756\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 15.4036 | + | 0.373821i | 0.785042 | + | 0.0190517i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −2.77764 | + | 4.81102i | −0.141195 | + | 0.244558i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 11.4036 | + | 19.7517i | 0.578187 | + | 1.00145i | 0.995687 | + | 0.0927724i | \(0.0295729\pi\) |
−0.417500 | + | 0.908677i | \(0.637094\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −1.06759 | −0.0539902 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −70.9424 | −3.57857 | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 4.75615 | + | 8.23790i | 0.239308 | + | 0.414494i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 7.13517 | − | 12.3585i | 0.358104 | − | 0.620255i | −0.629540 | − | 0.776968i | \(-0.716757\pi\) |
0.987644 | + | 0.156714i | \(0.0500899\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 6.57989 | + | 0.159683i | 0.329407 | + | 0.00799416i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 5.74385 | − | 9.94864i | 0.286834 | − | 0.496811i | −0.686218 | − | 0.727396i | \(-0.740730\pi\) |
0.973052 | + | 0.230585i | \(0.0740638\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 3.55528 | + | 6.15793i | 0.177101 | + | 0.306748i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 28.7397 | 1.42809 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 27.6986 | 1.37297 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −0.899566 | − | 1.55809i | −0.0444807 | − | 0.0770428i | 0.842928 | − | 0.538027i | \(-0.180830\pi\) |
−0.887409 | + | 0.460984i | \(0.847497\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 6.57989 | − | 11.3967i | 0.324562 | − | 0.562158i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −10.1352 | − | 18.5817i | −0.498719 | − | 0.914344i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 3.35503 | − | 5.81108i | 0.164692 | − | 0.285255i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 10.8237 | + | 18.7473i | 0.530041 | + | 0.918058i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 27.4282 | 1.33996 | 0.669978 | − | 0.742381i | \(-0.266303\pi\) | ||||
0.669978 | + | 0.742381i | \(0.266303\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 2.91593 | 0.142114 | 0.0710569 | − | 0.997472i | \(-0.477363\pi\) | ||||
0.0710569 | + | 0.997472i | \(0.477363\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 50.4292 | + | 87.3459i | 2.45195 | + | 4.24690i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −1.00000 | + | 1.73205i | −0.0485071 | + | 0.0840168i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −12.9589 | + | 21.2383i | −0.627126 | + | 1.02779i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 26.4036 | − | 45.7324i | 1.27478 | − | 2.20798i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −7.28995 | − | 12.6266i | −0.351144 | − | 0.608200i | 0.635306 | − | 0.772261i | \(-0.280874\pi\) |
−0.986450 | + | 0.164061i | \(0.947541\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 21.1598 | 1.01687 | 0.508437 | − | 0.861099i | \(-0.330223\pi\) | ||||
0.508437 | + | 0.861099i | \(0.330223\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 2.71005 | 0.129937 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −0.201814 | − | 0.349553i | −0.00965409 | − | 0.0167214i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 15.4712 | − | 26.7969i | 0.738401 | − | 1.27895i | −0.214814 | − | 0.976655i | \(-0.568915\pi\) |
0.953215 | − | 0.302293i | \(-0.0977521\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −29.6515 | + | 46.0448i | −1.41198 | + | 2.19261i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −18.7587 | + | 32.4909i | −0.891251 | + | 1.54369i | −0.0528732 | + | 0.998601i | \(0.516838\pi\) |
−0.838377 | + | 0.545090i | \(0.816495\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −0.878076 | − | 1.52087i | −0.0416248 | − | 0.0720962i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −0.357532 | −0.0169107 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 31.0922 | 1.46733 | 0.733666 | − | 0.679511i | \(-0.237808\pi\) | ||||
0.733666 | + | 0.679511i | \(0.237808\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −17.6680 | − | 30.6019i | −0.831955 | − | 1.44099i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −21.4958 | + | 37.2319i | −1.00996 | + | 1.74931i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −3.79819 | + | 6.22482i | −0.178062 | + | 0.291824i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 2.17626 | − | 3.76940i | 0.101801 | − | 0.176325i | −0.810626 | − | 0.585565i | \(-0.800873\pi\) |
0.912427 | + | 0.409240i | \(0.134206\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 15.8698 | + | 27.4874i | 0.740740 | + | 1.28300i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 37.2950 | 1.73700 | 0.868500 | − | 0.495690i | \(-0.165085\pi\) | ||||
0.868500 | + | 0.495690i | \(0.165085\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −9.81873 | −0.456315 | −0.228158 | − | 0.973624i | \(-0.573270\pi\) | ||||
−0.228158 | + | 0.973624i | \(0.573270\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −4.24385 | − | 7.35056i | −0.196804 | − | 0.340874i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 11.4011 | − | 19.7473i | 0.527581 | − | 0.913797i | −0.471902 | − | 0.881651i | \(-0.656432\pi\) |
0.999483 | − | 0.0321463i | \(-0.0102342\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −15.0379 | − | 27.5702i | −0.694384 | − | 1.27307i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 14.6260 | − | 25.3330i | 0.673930 | − | 1.16728i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −2.06759 | − | 3.58117i | −0.0950678 | − | 0.164662i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −0.756152 | −0.0346946 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −65.7478 | −3.01038 | ||||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 10.2224 | + | 17.7056i | 0.467071 | + | 0.808991i | 0.999292 | − | 0.0376140i | \(-0.0119757\pi\) |
−0.532221 | + | 0.846606i | \(0.678642\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −6.55434 | + | 11.3524i | −0.298852 | + | 0.517627i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 4.64497 | + | 0.112726i | 0.211354 | + | 0.00512921i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 1.00000 | − | 1.73205i | 0.0454077 | − | 0.0786484i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 21.4036 | + | 37.0722i | 0.969891 | + | 1.67990i | 0.695857 | + | 0.718181i | \(0.255025\pi\) |
0.274034 | + | 0.961720i | \(0.411642\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 37.8748 | 1.71276 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −18.8502 | −0.850699 | −0.425350 | − | 0.905029i | \(-0.639849\pi\) | ||||
−0.425350 | + | 0.905029i | \(0.639849\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 0.823739 | + | 1.42676i | 0.0370993 | + | 0.0642579i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −22.7817 | + | 39.4591i | −1.02396 | + | 1.77355i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −13.8698 | + | 24.0233i | −0.620899 | + | 1.07543i | 0.368420 | + | 0.929660i | \(0.379899\pi\) |
−0.989319 | + | 0.145769i | \(0.953434\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 2.41187 | + | 4.17748i | 0.107754 | + | 0.186636i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 14.7101 | 0.655889 | 0.327944 | − | 0.944697i | \(-0.393644\pi\) | ||||
0.327944 | + | 0.944697i | \(0.393644\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 2.33604 | 0.103952 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −8.88882 | − | 15.3959i | −0.394766 | − | 0.683755i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 6.99176 | − | 12.1101i | 0.309904 | − | 0.536770i | −0.668437 | − | 0.743769i | \(-0.733036\pi\) |
0.978341 | + | 0.206999i | \(0.0663697\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −4.44973 | − | 8.15805i | −0.196844 | − | 0.360891i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −6.00000 | + | 10.3923i | −0.264906 | + | 0.458831i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 1.11118 | + | 1.92462i | 0.0489644 | + | 0.0848088i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −75.0757 | −3.30183 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 36.9916 | 1.62375 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −10.3616 | − | 17.9468i | −0.453950 | − | 0.786264i | 0.544677 | − | 0.838646i | \(-0.316652\pi\) |
−0.998627 | + | 0.0523817i | \(0.983319\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 11.1763 | − | 19.3579i | 0.488704 | − | 0.846460i | −0.511212 | − | 0.859455i | \(-0.670803\pi\) |
0.999916 | + | 0.0129950i | \(0.00413655\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 4.53379 | − | 7.43040i | 0.197871 | − | 0.324289i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 2.57989 | − | 4.46850i | 0.112382 | − | 0.194651i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 11.3575 | + | 19.6718i | 0.493806 | + | 0.855297i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 62.5899 | 2.71617 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 16.7232 | 0.724362 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −7.93492 | − | 13.7437i | −0.343056 | − | 0.594191i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 12.0676 | − | 20.9017i | 0.520755 | − | 0.901974i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −18.6465 | − | 36.2517i | −0.803163 | − | 1.56147i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −16.3278 | + | 28.2806i | −0.701987 | + | 1.21588i | 0.265781 | + | 0.964033i | \(0.414370\pi\) |
−0.967768 | + | 0.251844i | \(0.918963\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −30.3846 | − | 52.6277i | −1.30393 | − | 2.25847i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −3.26845 | −0.140005 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 31.1648 | 1.33251 | 0.666255 | − | 0.745724i | \(-0.267896\pi\) | ||||
0.666255 | + | 0.745724i | \(0.267896\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −36.7858 | − | 63.7148i | −1.56998 | − | 2.71928i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −0.311436 | + | 0.539422i | −0.0132676 | + | 0.0229802i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 13.1087 | − | 21.4837i | 0.557438 | − | 0.913581i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 7.82374 | − | 13.5511i | 0.332099 | − | 0.575213i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 22.3616 | + | 38.7314i | 0.947491 | + | 1.64110i | 0.750685 | + | 0.660660i | \(0.229724\pi\) |
0.196806 | + | 0.980442i | \(0.436943\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 1.95702 | 0.0827731 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −38.3196 | −1.61785 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 16.2464 | + | 28.1395i | 0.684702 | + | 1.18594i | 0.973530 | + | 0.228558i | \(0.0734010\pi\) |
−0.288828 | + | 0.957381i | \(0.593266\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 6.57989 | − | 11.3967i | 0.276818 | − | 0.479463i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −36.4102 | − | 66.7539i | −1.52908 | − | 2.80340i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −17.3370 | + | 30.0285i | −0.726804 | + | 1.25886i | 0.231423 | + | 0.972853i | \(0.425662\pi\) |
−0.958227 | + | 0.286009i | \(0.907671\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −1.55528 | − | 2.69383i | −0.0650866 | − | 0.112733i | 0.831646 | − | 0.555306i | \(-0.187399\pi\) |
−0.896732 | + | 0.442573i | \(0.854066\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −47.9670 | −2.00385 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −0.533794 | −0.0222607 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −0.336042 | − | 0.582041i | −0.0139896 | − | 0.0242307i | 0.858946 | − | 0.512066i | \(-0.171120\pi\) |
−0.872935 | + | 0.487836i | \(0.837787\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −30.9374 | + | 53.5852i | −1.28572 | + | 2.22692i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −17.7479 | − | 0.430713i | −0.736307 | − | 0.0178690i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 24.4703 | − | 42.3837i | 1.01345 | − | 1.75536i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −10.7817 | − | 18.6745i | −0.445769 | − | 0.772094i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −4.67208 | −0.192838 | −0.0964188 | − | 0.995341i | \(-0.530739\pi\) | ||||
−0.0964188 | + | 0.995341i | \(0.530739\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 1.95079 | 0.0803808 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 4.53379 | + | 7.85276i | 0.186495 | + | 0.323019i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −10.0922 | + | 17.4802i | −0.414437 | + | 0.717825i | −0.995369 | − | 0.0961264i | \(-0.969355\pi\) |
0.580932 | + | 0.813952i | \(0.302688\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 5.28995 | + | 0.128378i | 0.216867 | + | 0.00526300i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 24.7151 | − | 42.8077i | 1.01152 | − | 1.75200i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −10.7562 | − | 18.6302i | −0.439484 | − | 0.761209i | 0.558165 | − | 0.829730i | \(-0.311506\pi\) |
−0.997650 | + | 0.0685204i | \(0.978172\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 5.29495 | 0.215986 | 0.107993 | − | 0.994152i | \(-0.465558\pi\) | ||||
0.107993 | + | 0.994152i | \(0.465558\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 92.8665 | 3.78182 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −11.4580 | − | 19.8458i | −0.465833 | − | 0.806846i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −18.3591 | + | 31.7989i | −0.745172 | + | 1.29068i | 0.204942 | + | 0.978774i | \(0.434300\pi\) |
−0.950114 | + | 0.311902i | \(0.899034\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −3.43336 | − | 6.29467i | −0.139127 | − | 0.255073i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 17.7652 | − | 30.7703i | 0.718704 | − | 1.24483i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −20.3616 | − | 35.2673i | −0.822397 | − | 1.42443i | −0.903892 | − | 0.427760i | \(-0.859303\pi\) |
0.0814954 | − | 0.996674i | \(-0.474030\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −19.9620 | −0.804947 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 16.8073 | 0.676635 | 0.338317 | − | 0.941032i | \(-0.390142\pi\) | ||||
0.338317 | + | 0.941032i | \(0.390142\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 17.8954 | + | 30.9957i | 0.719276 | + | 1.24582i | 0.961287 | + | 0.275550i | \(0.0888598\pi\) |
−0.242010 | + | 0.970274i | \(0.577807\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −4.23561 | + | 7.33629i | −0.169969 | + | 0.294395i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −2.42011 | + | 3.96630i | −0.0969597 | + | 0.158907i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −0.500000 | + | 0.866025i | −0.0200000 | + | 0.0346410i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −7.24385 | − | 12.5467i | −0.289291 | − | 0.501067i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 9.51230 | 0.379280 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −32.4447 | −1.29160 | −0.645802 | − | 0.763505i | \(-0.723477\pi\) | ||||
−0.645802 | + | 0.763505i | \(0.723477\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −36.0511 | − | 62.4423i | −1.43290 | − | 2.48186i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −5.95797 | + | 10.3195i | −0.236435 | + | 0.409517i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 19.2703 | + | 0.935872i | 0.763519 | + | 0.0370806i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −8.45390 | − | 14.6426i | −0.333909 | − | 0.578348i | 0.649366 | − | 0.760476i | \(-0.275035\pi\) |
−0.983275 | + | 0.182129i | \(0.941701\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 0.135174 | 0.00533075 | 0.00266538 | − | 0.999996i | \(-0.499152\pi\) | ||||
0.00266538 | + | 0.999996i | \(0.499152\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −2.33604 | −0.0919816 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 2.04454 | + | 3.54125i | 0.0803791 | + | 0.139221i | 0.903413 | − | 0.428772i | \(-0.141054\pi\) |
−0.823034 | + | 0.567993i | \(0.807720\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −23.2950 | + | 40.3480i | −0.914407 | + | 1.58380i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −11.6967 | + | 19.1696i | −0.458429 | + | 0.751317i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −15.9580 | + | 27.6400i | −0.624483 | + | 1.08164i | 0.364157 | + | 0.931338i | \(0.381357\pi\) |
−0.988641 | + | 0.150300i | \(0.951976\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −10.7817 | − | 18.6745i | −0.421276 | − | 0.729672i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 27.4793 | 1.07207 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 4.70505 | 0.183283 | 0.0916413 | − | 0.995792i | \(-0.470789\pi\) | ||||
0.0916413 | + | 0.995792i | \(0.470789\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −2.25710 | − | 3.90941i | −0.0877910 | − | 0.152058i | 0.818786 | − | 0.574099i | \(-0.194647\pi\) |
−0.906577 | + | 0.422040i | \(0.861314\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 9.06759 | − | 15.7055i | 0.352156 | − | 0.609952i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 0.957966 | + | 1.75632i | 0.0371483 | + | 0.0681071i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −0.219853 | + | 0.380797i | −0.00851275 | + | 0.0147445i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 30.9374 | + | 53.5852i | 1.19611 | + | 2.07172i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 54.7643 | 2.11415 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 46.9424 | 1.80950 | 0.904749 | − | 0.425945i | \(-0.140058\pi\) | ||||
0.904749 | + | 0.425945i | \(0.140058\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 7.93492 | + | 13.7437i | 0.305415 | + | 0.528995i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 5.20181 | − | 9.00981i | 0.199922 | − | 0.346275i | −0.748581 | − | 0.663043i | \(-0.769264\pi\) |
0.948503 | + | 0.316768i | \(0.102598\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −5.28995 | − | 0.128378i | −0.203009 | − | 0.00492671i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 27.4251 | − | 47.5017i | 1.05093 | − | 1.82027i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −2.53129 | − | 4.38432i | −0.0968571 | − | 0.167761i | 0.813525 | − | 0.581530i | \(-0.197546\pi\) |
−0.910382 | + | 0.413768i | \(0.864212\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 4.00000 | 0.152832 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −64.1944 | −2.44917 | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 11.5808 | + | 20.0586i | 0.441195 | + | 0.764172i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 2.22236 | − | 3.84924i | 0.0845425 | − | 0.146432i | −0.820654 | − | 0.571426i | \(-0.806390\pi\) |
0.905196 | + | 0.424994i | \(0.139724\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 120.514 | + | 2.92468i | 4.57795 | + | 0.111099i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −3.28995 | + | 5.69835i | −0.124795 | + | 0.216151i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −6.06759 | − | 10.5094i | −0.229826 | − | 0.398071i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −59.2190 | −2.23987 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 21.7562 | 0.821719 | 0.410859 | − | 0.911699i | \(-0.365229\pi\) | ||||
0.410859 | + | 0.911699i | \(0.365229\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 1.79819 | + | 3.11455i | 0.0678199 | + | 0.117467i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −21.2059 | + | 36.7297i | −0.798660 | + | 1.38332i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −2.95952 | − | 5.42594i | −0.111304 | − | 0.204064i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 20.5041 | − | 35.5141i | 0.770046 | − | 1.33376i | −0.167491 | − | 0.985874i | \(-0.553566\pi\) |
0.937537 | − | 0.347886i | \(-0.113100\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 37.2109 | + | 64.4511i | 1.39552 | + | 2.41711i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 1.37713 | 0.0515739 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 16.0511 | 0.600277 | ||||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −26.4712 | − | 45.8495i | −0.988586 | − | 1.71228i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −11.8698 | + | 20.5592i | −0.442670 | + | 0.766727i | −0.997887 | − | 0.0649787i | \(-0.979302\pi\) |
0.555216 | + | 0.831706i | \(0.312635\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 3.06258 | − | 5.01924i | 0.114056 | − | 0.186926i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 1.46621 | − | 2.53954i | 0.0545288 | − | 0.0944467i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 0.411869 | + | 0.713379i | 0.0152964 | + | 0.0264942i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −28.8534 | −1.07011 | −0.535056 | − | 0.844817i | \(-0.679709\pi\) | ||||
−0.535056 | + | 0.844817i | \(0.679709\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 68.2190 | 2.52663 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −0.710055 | − | 1.22985i | −0.0262623 | − | 0.0454877i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −23.4292 | + | 40.5805i | −0.865377 | + | 1.49888i | 0.00129620 | + | 0.999999i | \(0.499587\pi\) |
−0.866673 | + | 0.498877i | \(0.833746\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −23.0025 | − | 1.11713i | −0.848460 | − | 0.0412058i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −34.5634 | + | 59.8656i | −1.27316 | + | 2.20518i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −8.07165 | − | 13.9805i | −0.296920 | − | 0.514281i | 0.678509 | − | 0.734592i | \(-0.262626\pi\) |
−0.975430 | + | 0.220310i | \(0.929293\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 6.85647 | 0.251879 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −16.2243 | −0.595210 | −0.297605 | − | 0.954689i | \(-0.596188\pi\) | ||||
−0.297605 | + | 0.954689i | \(0.596188\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −0.0543371 | − | 0.0941146i | −0.00199076 | − | 0.00344809i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 26.2489 | − | 45.4644i | 0.960395 | − | 1.66345i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −21.8698 | + | 35.8423i | −0.799106 | + | 1.30965i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −10.7562 | + | 18.6302i | −0.392498 | + | 0.679826i | −0.992778 | − | 0.119964i | \(-0.961722\pi\) |
0.600281 | + | 0.799789i | \(0.295056\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 28.7397 | + | 49.7786i | 1.04733 | + | 1.81403i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −13.0676 | −0.475578 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 0.840220 | 0.0305383 | 0.0152692 | − | 0.999883i | \(-0.495139\pi\) | ||||
0.0152692 | + | 0.999883i | \(0.495139\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −5.11368 | − | 8.85716i | −0.185615 | − | 0.321495i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 14.4457 | − | 25.0206i | 0.523655 | − | 0.906997i | −0.475966 | − | 0.879464i | \(-0.657901\pi\) |
0.999621 | − | 0.0275332i | \(-0.00876519\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 4.14079 | + | 7.59167i | 0.149907 | + | 0.274837i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −7.82374 | + | 13.5511i | −0.282868 | + | 0.489942i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −11.0246 | − | 19.0952i | −0.398075 | − | 0.689487i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −27.3790 | −0.987313 | −0.493656 | − | 0.869657i | \(-0.664340\pi\) | ||||
−0.493656 | + | 0.869657i | \(0.664340\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 23.1106 | 0.832307 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 19.1177 | + | 33.1129i | 0.687618 | + | 1.19099i | 0.972607 | + | 0.232458i | \(0.0746767\pi\) |
−0.284989 | + | 0.958531i | \(0.591990\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 1.28995 | − | 2.23425i | 0.0463362 | − | 0.0802566i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −41.3871 | − | 1.00440i | −1.48476 | − | 0.0360326i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 2.29401 | − | 3.97334i | 0.0821914 | − | 0.142360i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 0 | 0 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 13.0726 | 0.467176 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 8.89133 | 0.317345 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −3.66646 | − | 6.35050i | −0.130695 | − | 0.226371i | 0.793249 | − | 0.608897i | \(-0.208388\pi\) |
−0.923945 | + | 0.382526i | \(0.875054\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 29.2437 | − | 50.6516i | 1.04110 | − | 1.80325i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −34.8073 | − | 0.844716i | −1.23760 | − | 0.0300346i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −12.9589 | + | 22.4455i | −0.460184 | + | 0.797063i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −13.8237 | − | 23.9434i | −0.490277 | − | 0.849186i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 14.4877 | 0.513181 | 0.256590 | − | 0.966520i | \(-0.417401\pi\) | ||||
0.256590 | + | 0.966520i | \(0.417401\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −25.7827 | −0.912125 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −6.86984 | − | 11.8989i | −0.242734 | − | 0.420427i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −10.2274 | + | 17.7143i | −0.360916 | + | 0.625125i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 0.676261 | + | 1.23985i | 0.0238351 | + | 0.0436989i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −15.4687 | + | 26.7926i | −0.544524 | + | 0.943144i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 5.67626 | + | 9.83157i | 0.199567 | + | 0.345660i | 0.948388 | − | 0.317112i | \(-0.102713\pi\) |
−0.748821 | + | 0.662772i | \(0.769380\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −28.7662 | −1.01012 | −0.505058 | − | 0.863085i | \(-0.668529\pi\) | ||||
−0.505058 | + | 0.863085i | \(0.668529\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −23.1106 | −0.810523 | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 5.75615 | + | 9.96995i | 0.201629 | + | 0.349232i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 0.268455 | − | 0.464977i | 0.00939204 | − | 0.0162675i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −29.7160 | + | 48.7014i | −1.03836 | + | 1.70176i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 8.02461 | − | 13.8990i | 0.280061 | − | 0.485079i | −0.691339 | − | 0.722531i | \(-0.742979\pi\) |
0.971399 | + | 0.237451i | \(0.0763121\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −7.00250 | − | 12.1287i | −0.244092 | − | 0.422780i | 0.717784 | − | 0.696266i | \(-0.245157\pi\) |
−0.961876 | + | 0.273486i | \(0.911823\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −19.1598 | −0.667058 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 15.2899 | 0.531683 | 0.265842 | − | 0.964017i | \(-0.414350\pi\) | ||||
0.265842 | + | 0.964017i | \(0.414350\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 10.6475 | + | 18.4420i | 0.369802 | + | 0.640516i | 0.989534 | − | 0.144297i | \(-0.0460921\pi\) |
−0.619732 | + | 0.784813i | \(0.712759\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 44.6771 | − | 77.3830i | 1.54983 | − | 2.68439i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −6.40363 | − | 12.4496i | −0.221873 | − | 0.431354i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −0.733103 | + | 1.26977i | −0.0253701 | + | 0.0439423i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −20.4712 | − | 35.4572i | −0.707589 | − | 1.22558i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 42.2274 | 1.45785 | 0.728925 | − | 0.684593i | \(-0.240020\pi\) | ||||
0.728925 | + | 0.684593i | \(0.240020\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −28.3215 | −0.976602 | ||||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −1.02149 | − | 1.76927i | −0.0351820 | − | 0.0609370i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 2.70181 | − | 4.67968i | 0.0929452 | − | 0.160986i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −31.5799 | + | 51.7561i | −1.08510 | + | 1.77836i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 5.19775 | − | 9.00277i | 0.178386 | − | 0.308974i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 1.26940 | + | 2.19867i | 0.0435145 | + | 0.0753694i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −13.2931 | −0.455146 | −0.227573 | − | 0.973761i | \(-0.573079\pi\) | ||||
−0.227573 | + | 0.973761i | \(0.573079\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −5.91593 | −0.202321 | ||||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −19.2274 | − | 33.3028i | −0.656794 | − | 1.13760i | −0.981441 | − | 0.191766i | \(-0.938579\pi\) |
0.324646 | − | 0.945835i | \(-0.394755\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −4.00000 | + | 6.92820i | −0.136478 | + | 0.236387i | −0.926161 | − | 0.377128i | \(-0.876912\pi\) |
0.789683 | + | 0.613515i | \(0.210245\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 25.2898 | + | 46.3660i | 0.861875 | + | 1.58015i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 23.5404 | − | 40.7731i | 0.801323 | − | 1.38793i | −0.117422 | − | 0.993082i | \(-0.537463\pi\) |
0.918745 | − | 0.394850i | \(-0.129204\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 5.62192 | + | 9.73746i | 0.191151 | + | 0.331084i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 42.7693 | 1.45252 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −55.3972 | −1.87922 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −16.3575 | − | 28.3321i | −0.554254 | − | 0.959996i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 7.82374 | − | 13.5511i | 0.264793 | − | 0.458636i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 2.64497 | + | 0.0641892i | 0.0894164 | + | 0.00216999i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 2.28588 | − | 3.95926i | 0.0771888 | − | 0.133695i | −0.824847 | − | 0.565356i | \(-0.808739\pi\) |
0.902036 | + | 0.431661i | \(0.142072\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 18.4958 | + | 32.0357i | 0.623849 | + | 1.08054i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −14.2849 | −0.481272 | −0.240636 | − | 0.970615i | \(-0.577356\pi\) | ||||
−0.240636 | + | 0.970615i | \(0.577356\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −15.9670 | −0.537334 | −0.268667 | − | 0.963233i | \(-0.586583\pi\) | ||||
−0.268667 | + | 0.963233i | \(0.586583\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 13.1598 | + | 22.7934i | 0.442361 | + | 0.766192i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 3.58239 | − | 6.20489i | 0.120285 | − | 0.208340i | −0.799595 | − | 0.600540i | \(-0.794952\pi\) |
0.919880 | + | 0.392200i | \(0.128286\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 31.5173 | + | 0.764874i | 1.05706 | + | 0.0256531i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −83.6862 | + | 144.949i | −2.80359 | + | 4.85596i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −4.87390 | − | 8.44184i | −0.163099 | − | 0.282495i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 7.33604 | 0.245217 | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 4.84022 | 0.161610 | ||||||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −1.06258 | − | 1.84044i | −0.0354389 | − | 0.0613821i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 8.40363 | − | 14.5555i | 0.279965 | − | 0.484914i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 2.95952 | + | 5.42594i | 0.0984868 | + | 0.180564i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 9.23561 | − | 15.9965i | 0.307002 | − | 0.531743i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −4.13267 | − | 7.15799i | −0.137223 | − | 0.237677i | 0.789221 | − | 0.614109i | \(-0.210484\pi\) |
−0.926444 | + | 0.376431i | \(0.877151\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 18.2766 | 0.606196 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 26.2274 | 0.868951 | 0.434476 | − | 0.900684i | \(-0.356934\pi\) | ||||
0.434476 | + | 0.900684i | \(0.356934\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 19.5388 | + | 33.8422i | 0.646640 | + | 1.12001i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 15.4687 | − | 26.7926i | 0.511380 | − | 0.885736i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −29.7160 | + | 48.7014i | −0.981309 | + | 1.60826i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 9.37902 | − | 16.2449i | 0.309385 | − | 0.535871i | −0.668843 | − | 0.743404i | \(-0.733210\pi\) |
0.978228 | + | 0.207533i | \(0.0665434\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 38.6853 | + | 67.0050i | 1.27473 | + | 2.20789i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 0 | 0 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 4.75615 | 0.156381 | ||||||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 8.69357 | + | 15.0577i | 0.285534 | + | 0.494560i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 6.45390 | − | 11.1785i | 0.211746 | − | 0.366754i | −0.740515 | − | 0.672040i | \(-0.765418\pi\) |
0.952261 | + | 0.305285i | \(0.0987518\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 2.86577 | − | 4.45015i | 0.0939219 | − | 0.145848i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −47.9670 | + | 83.0813i | −1.57037 | + | 2.71996i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −5.82374 | − | 10.0870i | −0.190457 | − | 0.329881i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 1.78265 | 0.0582367 | 0.0291183 | − | 0.999576i | \(-0.490730\pi\) | ||||
0.0291183 | + | 0.999576i | \(0.490730\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 79.5653 | 2.59652 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 22.5634 | + | 39.0810i | 0.735546 | + | 1.27400i | 0.954483 | + | 0.298264i | \(0.0964077\pi\) |
−0.218937 | + | 0.975739i | \(0.570259\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 1.61942 | − | 2.80492i | 0.0527356 | − | 0.0913407i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 21.8698 | − | 35.8423i | 0.711426 | − | 1.16595i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −11.0436 | + | 19.1281i | −0.358869 | + | 0.621579i | −0.987772 | − | 0.155905i | \(-0.950171\pi\) |
0.628904 | + | 0.777483i | \(0.283504\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −4.84022 | − | 8.38351i | −0.157120 | − | 0.272140i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −39.9241 | −1.29463 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −45.3442 | −1.46884 | −0.734421 | − | 0.678694i | \(-0.762546\pi\) | ||||
−0.734421 | + | 0.678694i | \(0.762546\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −7.28995 | − | 12.6266i | −0.235897 | − | 0.408586i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −7.89133 | + | 13.6682i | −0.255090 | + | 0.441829i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −5.06759 | − | 9.29083i | −0.163641 | − | 0.300017i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 12.1721 | − | 21.0827i | 0.392648 | − | 0.680086i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −62.0807 | − | 107.527i | −2.00052 | − | 3.46501i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −18.8073 | −0.605427 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −17.0296 | −0.547636 | −0.273818 | − | 0.961782i | \(-0.588287\pi\) | ||||
−0.273818 | + | 0.961782i | \(0.588287\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −2.48770 | − | 4.30882i | −0.0799163 | − | 0.138419i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 14.6054 | − | 25.2974i | 0.468711 | − | 0.811831i | −0.530649 | − | 0.847591i | \(-0.678052\pi\) |
0.999360 | + | 0.0357602i | \(0.0113852\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 17.4036 | + | 0.422358i | 0.557935 | + | 0.0135402i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 4.53379 | − | 7.85276i | 0.145198 | − | 0.251490i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −0.420110 | − | 0.727652i | −0.0134405 | − | 0.0232796i | 0.859227 | − | 0.511595i | \(-0.170945\pi\) |
−0.872667 | + | 0.488315i | \(0.837612\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 10.2274 | 0.326868 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −25.5715 | −0.816436 | ||||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −4.15822 | − | 7.20225i | −0.132627 | − | 0.229716i | 0.792062 | − | 0.610441i | \(-0.209008\pi\) |
−0.924688 | + | 0.380725i | \(0.875674\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −1.37808 | + | 2.38690i | −0.0439091 | + | 0.0760529i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 112.178 | + | 2.72238i | 3.57066 | + | 0.0866542i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 0.189511 | − | 0.328243i | 0.00602611 | − | 0.0104375i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 10.1302 | + | 17.5460i | 0.321795 | + | 0.557366i | 0.980859 | − | 0.194722i | \(-0.0623804\pi\) |
−0.659063 | + | 0.752088i | \(0.729047\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 6.00000 | 0.190404 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 15.0246 | 0.476312 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 26.5388 | + | 45.9666i | 0.840492 | + | 1.45578i | 0.889479 | + | 0.456976i | \(0.151067\pi\) |
−0.0489867 | + | 0.998799i | \(0.515599\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 37.7397 | − | 65.3670i | 1.19403 | − | 2.06812i |
(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 | 280.2.q.e.121.3 | yes | 6 | |
3.2 | odd | 2 | 2520.2.bi.q.1801.3 | 6 | |||
4.3 | odd | 2 | 560.2.q.l.401.1 | 6 | |||
5.2 | odd | 4 | 1400.2.bh.i.849.6 | 12 | |||
5.3 | odd | 4 | 1400.2.bh.i.849.1 | 12 | |||
5.4 | even | 2 | 1400.2.q.j.401.1 | 6 | |||
7.2 | even | 3 | 1960.2.a.w.1.1 | 3 | |||
7.3 | odd | 6 | 1960.2.q.w.361.1 | 6 | |||
7.4 | even | 3 | inner | 280.2.q.e.81.3 | ✓ | 6 | |
7.5 | odd | 6 | 1960.2.a.v.1.3 | 3 | |||
7.6 | odd | 2 | 1960.2.q.w.961.1 | 6 | |||
21.11 | odd | 6 | 2520.2.bi.q.361.3 | 6 | |||
28.11 | odd | 6 | 560.2.q.l.81.1 | 6 | |||
28.19 | even | 6 | 3920.2.a.cb.1.1 | 3 | |||
28.23 | odd | 6 | 3920.2.a.cc.1.3 | 3 | |||
35.4 | even | 6 | 1400.2.q.j.1201.1 | 6 | |||
35.9 | even | 6 | 9800.2.a.ce.1.3 | 3 | |||
35.18 | odd | 12 | 1400.2.bh.i.249.6 | 12 | |||
35.19 | odd | 6 | 9800.2.a.cf.1.1 | 3 | |||
35.32 | odd | 12 | 1400.2.bh.i.249.1 | 12 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
280.2.q.e.81.3 | ✓ | 6 | 7.4 | even | 3 | inner | |
280.2.q.e.121.3 | yes | 6 | 1.1 | even | 1 | trivial | |
560.2.q.l.81.1 | 6 | 28.11 | odd | 6 | |||
560.2.q.l.401.1 | 6 | 4.3 | odd | 2 | |||
1400.2.q.j.401.1 | 6 | 5.4 | even | 2 | |||
1400.2.q.j.1201.1 | 6 | 35.4 | even | 6 | |||
1400.2.bh.i.249.1 | 12 | 35.32 | odd | 12 | |||
1400.2.bh.i.249.6 | 12 | 35.18 | odd | 12 | |||
1400.2.bh.i.849.1 | 12 | 5.3 | odd | 4 | |||
1400.2.bh.i.849.6 | 12 | 5.2 | odd | 4 | |||
1960.2.a.v.1.3 | 3 | 7.5 | odd | 6 | |||
1960.2.a.w.1.1 | 3 | 7.2 | even | 3 | |||
1960.2.q.w.361.1 | 6 | 7.3 | odd | 6 | |||
1960.2.q.w.961.1 | 6 | 7.6 | odd | 2 | |||
2520.2.bi.q.361.3 | 6 | 21.11 | odd | 6 | |||
2520.2.bi.q.1801.3 | 6 | 3.2 | odd | 2 | |||
3920.2.a.cb.1.1 | 3 | 28.19 | even | 6 | |||
3920.2.a.cc.1.3 | 3 | 28.23 | odd | 6 | |||
9800.2.a.ce.1.3 | 3 | 35.9 | even | 6 | |||
9800.2.a.cf.1.1 | 3 | 35.19 | odd | 6 |