Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1520,2,Mod(881,1520)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1520, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 0, 0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1520.881");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1520 = 2^{4} \cdot 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1520.q (of order \(3\), degree \(2\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(12.1372611072\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{3})\) |
Coefficient field: | 6.0.3518667.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - x^{5} + 7x^{4} - 8x^{3} + 43x^{2} - 42x + 49 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 95) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 881.2 | ||
Root | \(0.610938 + 1.05818i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 1520.881 |
Dual form | 1520.2.q.j.961.2 |
$q$-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 \(\left(\mathbb{Z}/1520\mathbb{Z}\right)^\times\).
\(n\) | \(191\) | \(401\) | \(1141\) | \(1217\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{3}\right)\) | \(1\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | 0.610938 | + | 1.05818i | 0.352725 | + | 0.610938i | 0.986726 | − | 0.162394i | \(-0.0519217\pi\) |
−0.634001 | + | 0.773333i | \(0.718588\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 0.500000 | + | 0.866025i | 0.223607 | + | 0.387298i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.221876 | 0.0838613 | 0.0419307 | − | 0.999121i | \(-0.486649\pi\) | ||||
0.0419307 | + | 0.999121i | \(0.486649\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 0.753509 | − | 1.30512i | 0.251170 | − | 0.435039i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 0.778124 | 0.234613 | 0.117307 | − | 0.993096i | \(-0.462574\pi\) | ||||
0.117307 | + | 0.993096i | \(0.462574\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 2.50000 | − | 4.33013i | 0.693375 | − | 1.20096i | −0.277350 | − | 0.960769i | \(-0.589456\pi\) |
0.970725 | − | 0.240192i | \(-0.0772105\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −0.610938 | + | 1.05818i | −0.157744 | + | 0.273220i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −3.53865 | − | 6.12912i | −0.858249 | − | 1.48653i | −0.873598 | − | 0.486649i | \(-0.838219\pi\) |
0.0153485 | − | 0.999882i | \(-0.495114\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −1.33281 | − | 4.15013i | −0.305769 | − | 0.952106i | ||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 0.135553 | + | 0.234784i | 0.0295800 | + | 0.0512341i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 4.03865 | − | 6.99515i | 0.842117 | − | 1.45859i | −0.0459843 | − | 0.998942i | \(-0.514642\pi\) |
0.888101 | − | 0.459647i | \(-0.152024\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.500000 | + | 0.866025i | −0.100000 | + | 0.173205i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 5.50702 | 1.05983 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −0.110938 | + | 0.192150i | −0.0206007 | + | 0.0356814i | −0.876142 | − | 0.482053i | \(-0.839891\pi\) |
0.855541 | + | 0.517735i | \(0.173225\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −2.50702 | −0.450274 | −0.225137 | − | 0.974327i | \(-0.572283\pi\) | ||||
−0.225137 | + | 0.974327i | \(0.572283\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 0.475385 | + | 0.823392i | 0.0827540 | + | 0.143334i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 0.110938 | + | 0.192150i | 0.0187520 | + | 0.0324793i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −1.90466 | −0.313124 | −0.156562 | − | 0.987668i | \(-0.550041\pi\) | ||||
−0.156562 | + | 0.987668i | \(0.550041\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 6.10938 | 0.978284 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 3.61796 | + | 6.26648i | 0.565030 | + | 0.978661i | 0.997047 | + | 0.0767950i | \(0.0244687\pi\) |
−0.432017 | + | 0.901865i | \(0.642198\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 3.64959 | + | 6.32128i | 0.556557 | + | 0.963985i | 0.997781 | + | 0.0665881i | \(0.0212113\pi\) |
−0.441223 | + | 0.897397i | \(0.645455\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 1.50702 | 0.224653 | ||||||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −1.39608 | + | 2.41808i | −0.203639 | + | 0.352714i | −0.949698 | − | 0.313166i | \(-0.898610\pi\) |
0.746059 | + | 0.665880i | \(0.231944\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −6.95077 | −0.992967 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 4.32379 | − | 7.48903i | 0.605452 | − | 1.04867i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −2.19024 | + | 3.79361i | −0.300853 | + | 0.521093i | −0.976329 | − | 0.216289i | \(-0.930605\pi\) |
0.675476 | + | 0.737382i | \(0.263938\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0.389062 | + | 0.673875i | 0.0524611 | + | 0.0908653i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 3.57730 | − | 3.94583i | 0.473825 | − | 0.522637i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −1.39608 | − | 2.41808i | −0.181754 | − | 0.314808i | 0.760724 | − | 0.649076i | \(-0.224844\pi\) |
−0.942478 | + | 0.334268i | \(0.891511\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 6.29216 | − | 10.8983i | 0.805629 | − | 1.39539i | −0.110237 | − | 0.993905i | \(-0.535161\pi\) |
0.915866 | − | 0.401484i | \(-0.131506\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 0.167186 | − | 0.289574i | 0.0210634 | − | 0.0364829i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 5.00000 | 0.620174 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −5.28514 | + | 9.15414i | −0.645683 | + | 1.11836i | 0.338460 | + | 0.940981i | \(0.390094\pi\) |
−0.984143 | + | 0.177375i | \(0.943239\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 9.86946 | 1.18814 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −4.92070 | − | 8.52289i | −0.583979 | − | 1.01148i | −0.995002 | − | 0.0998563i | \(-0.968162\pi\) |
0.411023 | − | 0.911625i | \(-0.365172\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 7.03865 | + | 12.1913i | 0.823812 | + | 1.42688i | 0.902824 | + | 0.430010i | \(0.141490\pi\) |
−0.0790121 | + | 0.996874i | \(0.525177\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −1.22188 | −0.141090 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 0.172647 | 0.0196750 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 0.792161 | + | 1.37206i | 0.0891251 | + | 0.154369i | 0.907142 | − | 0.420826i | \(-0.138260\pi\) |
−0.818016 | + | 0.575195i | \(0.804926\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 1.10392 | + | 1.91204i | 0.122658 | + | 0.212449i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 9.52106 | 1.04507 | 0.522536 | − | 0.852617i | \(-0.324986\pi\) | ||||
0.522536 | + | 0.852617i | \(0.324986\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 3.53865 | − | 6.12912i | 0.383821 | − | 0.664797i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −0.271105 | −0.0290655 | ||||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −1.57028 | + | 2.71981i | −0.166450 | + | 0.288300i | −0.937169 | − | 0.348875i | \(-0.886564\pi\) |
0.770719 | + | 0.637175i | \(0.219897\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0.554690 | − | 0.960752i | 0.0581474 | − | 0.100714i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −1.53163 | − | 2.65287i | −0.158823 | − | 0.275089i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 2.92771 | − | 3.22932i | 0.300377 | − | 0.331321i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 3.18122 | + | 5.51004i | 0.323004 | + | 0.559460i | 0.981106 | − | 0.193469i | \(-0.0619738\pi\) |
−0.658102 | + | 0.752929i | \(0.728641\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 0.586324 | − | 1.01554i | 0.0589277 | − | 0.102066i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 3.69726 | − | 6.40385i | 0.367891 | − | 0.637206i | −0.621344 | − | 0.783538i | \(-0.713413\pi\) |
0.989236 | + | 0.146331i | \(0.0467465\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −12.2038 | −1.20248 | −0.601240 | − | 0.799069i | \(-0.705326\pi\) | ||||
−0.601240 | + | 0.799069i | \(0.705326\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −0.135553 | + | 0.234784i | −0.0132286 | + | 0.0229126i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 1.63355 | 0.157921 | 0.0789607 | − | 0.996878i | \(-0.474840\pi\) | ||||
0.0789607 | + | 0.996878i | \(0.474840\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 3.80820 | + | 6.59600i | 0.364759 | + | 0.631782i | 0.988738 | − | 0.149660i | \(-0.0478179\pi\) |
−0.623978 | + | 0.781442i | \(0.714485\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −1.16363 | − | 2.01546i | −0.110447 | − | 0.191299i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 12.4890 | 1.17486 | 0.587432 | − | 0.809273i | \(-0.300139\pi\) | ||||
0.587432 | + | 0.809273i | \(0.300139\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 8.07730 | 0.753212 | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −3.76755 | − | 6.52558i | −0.348310 | − | 0.603290i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −0.785142 | − | 1.35991i | −0.0719739 | − | 0.124662i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −10.3945 | −0.944957 | ||||||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −4.42070 | + | 7.65687i | −0.398601 | + | 0.690397i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −1.00000 | −0.0894427 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −6.52106 | + | 11.2948i | −0.578650 | + | 1.00225i | 0.416984 | + | 0.908914i | \(0.363087\pi\) |
−0.995635 | + | 0.0933378i | \(0.970246\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −4.45935 | + | 7.72382i | −0.392624 | + | 0.680044i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 3.55469 | + | 6.15690i | 0.310575 | + | 0.537931i | 0.978487 | − | 0.206309i | \(-0.0661452\pi\) |
−0.667912 | + | 0.744240i | \(0.732812\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −0.295720 | − | 0.920816i | −0.0256422 | − | 0.0798448i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 2.75351 | + | 4.76922i | 0.236984 | + | 0.410469i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −2.71286 | + | 4.69880i | −0.231775 | + | 0.401446i | −0.958331 | − | 0.285662i | \(-0.907787\pi\) |
0.726556 | + | 0.687108i | \(0.241120\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 1.78514 | − | 3.09196i | 0.151414 | − | 0.262256i | −0.780334 | − | 0.625363i | \(-0.784951\pi\) |
0.931747 | + | 0.363107i | \(0.118284\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −3.41168 | −0.287315 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 1.94531 | − | 3.36938i | 0.162675 | − | 0.281761i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −0.221876 | −0.0184258 | ||||||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −4.24649 | − | 7.35514i | −0.350245 | − | 0.606642i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 0.468367 | + | 0.811235i | 0.0383701 | + | 0.0664590i | 0.884573 | − | 0.466402i | \(-0.154450\pi\) |
−0.846203 | + | 0.532861i | \(0.821117\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 0.971925 | 0.0790942 | 0.0395471 | − | 0.999218i | \(-0.487408\pi\) | ||||
0.0395471 | + | 0.999218i | \(0.487408\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −10.6656 | −0.862265 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −1.25351 | − | 2.17114i | −0.100684 | − | 0.174390i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −1.35743 | − | 2.35114i | −0.108335 | − | 0.187641i | 0.806761 | − | 0.590878i | \(-0.201218\pi\) |
−0.915096 | + | 0.403237i | \(0.867885\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −5.35241 | −0.424474 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 0.896081 | − | 1.55206i | 0.0706210 | − | 0.122319i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 3.20384 | 0.250944 | 0.125472 | − | 0.992097i | \(-0.459956\pi\) | ||||
0.125472 | + | 0.992097i | \(0.459956\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −0.475385 | + | 0.823392i | −0.0370087 | + | 0.0641010i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 5.11094 | − | 8.85240i | 0.395496 | − | 0.685020i | −0.597668 | − | 0.801744i | \(-0.703906\pi\) |
0.993164 | + | 0.116724i | \(0.0372393\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −6.00000 | − | 10.3923i | −0.461538 | − | 0.799408i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −6.42070 | − | 1.38769i | −0.491003 | − | 0.106119i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 1.33281 | + | 2.30850i | 0.101332 | + | 0.175512i | 0.912234 | − | 0.409670i | \(-0.134356\pi\) |
−0.810902 | + | 0.585182i | \(0.801023\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −0.110938 | + | 0.192150i | −0.00838613 | + | 0.0145252i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 1.70584 | − | 2.95460i | 0.128219 | − | 0.222081i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 12.9367 | 0.966937 | 0.483468 | − | 0.875362i | \(-0.339377\pi\) | ||||
0.483468 | + | 0.875362i | \(0.339377\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 9.30620 | − | 16.1188i | 0.691724 | − | 1.19810i | −0.279548 | − | 0.960132i | \(-0.590185\pi\) |
0.971273 | − | 0.237970i | \(-0.0764820\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 15.3765 | 1.13666 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −0.952328 | − | 1.64948i | −0.0700166 | − | 0.121272i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −2.75351 | − | 4.76922i | −0.201357 | − | 0.348760i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 1.22188 | 0.0888784 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 23.0421 | 1.66727 | 0.833634 | − | 0.552317i | \(-0.186256\pi\) | ||||
0.833634 | + | 0.552317i | \(0.186256\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 8.53865 | + | 14.7894i | 0.614626 | + | 1.06456i | 0.990450 | + | 0.137872i | \(0.0440262\pi\) |
−0.375824 | + | 0.926691i | \(0.622640\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 3.05469 | + | 5.29088i | 0.218751 | + | 0.378888i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −8.82024 | −0.628416 | −0.314208 | − | 0.949354i | \(-0.601739\pi\) | ||||
−0.314208 | + | 0.949354i | \(0.601739\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −1.42771 | + | 2.47287i | −0.101208 | + | 0.175297i | −0.912183 | − | 0.409784i | \(-0.865604\pi\) |
0.810975 | + | 0.585081i | \(0.198937\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −12.9156 | −0.910995 | ||||||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −0.0246145 | + | 0.0426336i | −0.00172760 | + | 0.00299229i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −3.61796 | + | 6.26648i | −0.252689 | + | 0.437670i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −6.08632 | − | 10.5418i | −0.423029 | − | 0.732707i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −1.03709 | − | 3.22932i | −0.0717373 | − | 0.223377i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −6.44375 | − | 11.1609i | −0.443606 | − | 0.768348i | 0.554348 | − | 0.832285i | \(-0.312968\pi\) |
−0.997954 | + | 0.0639367i | \(0.979634\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 6.01248 | − | 10.4139i | 0.411968 | − | 0.713550i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −3.64959 | + | 6.32128i | −0.248900 | + | 0.431107i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −0.556248 | −0.0377606 | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −8.60036 | + | 14.8963i | −0.581159 | + | 1.00660i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −35.3865 | −2.38035 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 10.3539 | + | 17.9334i | 0.693346 | + | 1.20091i | 0.970735 | + | 0.240153i | \(0.0771978\pi\) |
−0.277389 | + | 0.960758i | \(0.589469\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 0.753509 | + | 1.30512i | 0.0502340 | + | 0.0870078i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −4.00000 | −0.265489 | −0.132745 | − | 0.991150i | \(-0.542379\pi\) | ||||
−0.132745 | + | 0.991150i | \(0.542379\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 3.53910 | 0.233870 | 0.116935 | − | 0.993140i | \(-0.462693\pi\) | ||||
0.116935 | + | 0.993140i | \(0.462693\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 0.105477 | + | 0.182691i | 0.00693986 | + | 0.0120202i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 9.89252 | + | 17.1344i | 0.648081 | + | 1.12251i | 0.983581 | + | 0.180468i | \(0.0577614\pi\) |
−0.335500 | + | 0.942040i | \(0.608905\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −2.79216 | −0.182141 | ||||||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −0.967923 | + | 1.67649i | −0.0628733 | + | 0.108900i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −23.7741 | −1.53782 | −0.768910 | − | 0.639357i | \(-0.779201\pi\) | ||||
−0.768910 | + | 0.639357i | \(0.779201\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 2.27111 | − | 3.93367i | 0.146295 | − | 0.253390i | −0.783561 | − | 0.621315i | \(-0.786599\pi\) |
0.929855 | + | 0.367926i | \(0.119932\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 6.91168 | − | 11.9714i | 0.443384 | − | 0.767964i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −3.47539 | − | 6.01954i | −0.222034 | − | 0.384575i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −21.3026 | − | 4.60408i | −1.35545 | − | 0.292950i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 5.81678 | + | 10.0750i | 0.368623 | + | 0.638474i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −9.75151 | + | 16.8901i | −0.615510 | + | 1.06609i | 0.374785 | + | 0.927112i | \(0.377716\pi\) |
−0.990295 | + | 0.138982i | \(0.955617\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 3.14257 | − | 5.44309i | 0.197572 | − | 0.342204i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 8.64759 | 0.541533 | ||||||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −0.882043 | + | 1.52774i | −0.0550203 | + | 0.0952980i | −0.892224 | − | 0.451594i | \(-0.850856\pi\) |
0.837203 | + | 0.546892i | \(0.184189\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −0.422598 | −0.0262590 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 0.167186 | + | 0.289574i | 0.0103485 | + | 0.0179242i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −3.23591 | − | 5.60477i | −0.199535 | − | 0.345605i | 0.748843 | − | 0.662748i | \(-0.230610\pi\) |
−0.948378 | + | 0.317143i | \(0.897276\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −4.38049 | −0.269091 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −3.83739 | −0.234844 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −14.2429 | − | 24.6695i | −0.868407 | − | 1.50412i | −0.863624 | − | 0.504136i | \(-0.831811\pi\) |
−0.00478280 | − | 0.999989i | \(-0.501522\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −0.246491 | − | 0.426934i | −0.0149732 | − | 0.0259344i | 0.858442 | − | 0.512911i | \(-0.171433\pi\) |
−0.873415 | + | 0.486977i | \(0.838100\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 1.35553 | 0.0820402 | ||||||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −0.389062 | + | 0.673875i | −0.0234613 | + | 0.0406362i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −8.78905 | −0.528083 | −0.264041 | − | 0.964511i | \(-0.585056\pi\) | ||||
−0.264041 | + | 0.964511i | \(0.585056\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −1.88906 | + | 3.27195i | −0.113095 | + | 0.195887i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 2.37147 | − | 4.10750i | 0.141470 | − | 0.245033i | −0.786581 | − | 0.617488i | \(-0.788151\pi\) |
0.928050 | + | 0.372455i | \(0.121484\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 8.43473 | + | 14.6094i | 0.501393 | + | 0.868438i | 0.999999 | + | 0.00160901i | \(0.000512164\pi\) |
−0.498606 | + | 0.866829i | \(0.666155\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 5.20584 | + | 1.12512i | 0.308367 | + | 0.0666465i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 0.802738 | + | 1.39038i | 0.0473841 | + | 0.0820717i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −16.5441 | + | 28.6552i | −0.973183 | + | 1.68560i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −3.88706 | + | 6.73259i | −0.227864 | + | 0.394671i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 11.6336 | 0.679639 | 0.339820 | − | 0.940491i | \(-0.389634\pi\) | ||||
0.339820 | + | 0.940491i | \(0.389634\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 1.39608 | − | 2.41808i | 0.0812830 | − | 0.140786i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 4.28514 | 0.248649 | ||||||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −20.1933 | − | 34.9758i | −1.16781 | − | 2.02270i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0.809757 | + | 1.40254i | 0.0466736 | + | 0.0808411i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 9.03519 | 0.519058 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 12.5843 | 0.720576 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 2.94531 | + | 5.10143i | 0.168098 | + | 0.291154i | 0.937751 | − | 0.347308i | \(-0.112904\pi\) |
−0.769653 | + | 0.638462i | \(0.779571\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −7.45579 | − | 12.9138i | −0.424145 | − | 0.734641i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −14.8202 | −0.840378 | −0.420189 | − | 0.907437i | \(-0.638036\pi\) | ||||
−0.420189 | + | 0.907437i | \(0.638036\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 2.94731 | − | 5.10489i | 0.166592 | − | 0.288546i | −0.770628 | − | 0.637286i | \(-0.780057\pi\) |
0.937219 | + | 0.348740i | \(0.113390\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 0.334372 | 0.0188397 | ||||||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 2.07930 | − | 3.60146i | 0.116785 | − | 0.202278i | −0.801707 | − | 0.597718i | \(-0.796074\pi\) |
0.918492 | + | 0.395439i | \(0.129408\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −0.0863236 | + | 0.149517i | −0.00483319 | + | 0.00837133i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 0.997999 | + | 1.72858i | 0.0557029 | + | 0.0964802i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −20.7203 | + | 22.8549i | −1.15291 | + | 1.27168i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 2.50000 | + | 4.33013i | 0.138675 | + | 0.240192i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −4.65315 | + | 8.05949i | −0.257320 | + | 0.445691i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −0.309757 | + | 0.536515i | −0.0170775 | + | 0.0295790i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −10.6797 | −0.587008 | −0.293504 | − | 0.955958i | \(-0.594821\pi\) | ||||
−0.293504 | + | 0.955958i | \(0.594821\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −1.43518 | + | 2.48580i | −0.0786472 | + | 0.136221i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −10.5703 | −0.577516 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 13.1726 | + | 22.8157i | 0.717560 | + | 1.24285i | 0.961964 | + | 0.273177i | \(0.0880743\pi\) |
−0.244404 | + | 0.969673i | \(0.578592\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 7.62999 | + | 13.2155i | 0.414404 | + | 0.717769i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −1.95077 | −0.105640 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −3.09534 | −0.167133 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 4.93473 | + | 8.54721i | 0.265677 | + | 0.460166i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −8.44175 | − | 14.6215i | −0.453177 | − | 0.784925i | 0.545404 | − | 0.838173i | \(-0.316376\pi\) |
−0.998581 | + | 0.0532476i | \(0.983043\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 4.61640 | 0.247110 | 0.123555 | − | 0.992338i | \(-0.460570\pi\) | ||||
0.123555 | + | 0.992338i | \(0.460570\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 13.7675 | − | 23.8461i | 0.734857 | − | 1.27281i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −24.9508 | −1.32800 | −0.663998 | − | 0.747735i | \(-0.731142\pi\) | ||||
−0.663998 | + | 0.747735i | \(0.731142\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 4.92070 | − | 8.52289i | 0.261163 | − | 0.452348i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 0.959347 | − | 1.66164i | 0.0507740 | − | 0.0879432i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 5.90110 | + | 10.2210i | 0.311448 | + | 0.539444i | 0.978676 | − | 0.205410i | \(-0.0658527\pi\) |
−0.667228 | + | 0.744854i | \(0.732519\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −15.4472 | + | 11.0627i | −0.813011 | + | 0.582248i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −6.35041 | − | 10.9992i | −0.333310 | − | 0.577310i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −7.03865 | + | 12.1913i | −0.368420 | + | 0.638122i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 13.1164 | − | 22.7183i | 0.684670 | − | 1.18588i | −0.288870 | − | 0.957368i | \(-0.593279\pi\) |
0.973540 | − | 0.228516i | \(-0.0733872\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 10.9047 | 0.567674 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −0.485963 | + | 0.841712i | −0.0252299 | + | 0.0436995i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 11.9960 | 0.621129 | 0.310565 | − | 0.950552i | \(-0.399482\pi\) | ||||
0.310565 | + | 0.950552i | \(0.399482\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −0.610938 | − | 1.05818i | −0.0315487 | − | 0.0546440i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 0.554690 | + | 0.960752i | 0.0285680 | + | 0.0494812i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −0.313217 | −0.0160889 | −0.00804444 | − | 0.999968i | \(-0.502561\pi\) | ||||
−0.00804444 | + | 0.999968i | \(0.502561\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −15.9358 | −0.816418 | ||||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 15.0441 | + | 26.0572i | 0.768718 | + | 1.33146i | 0.938258 | + | 0.345936i | \(0.112439\pi\) |
−0.169540 | + | 0.985523i | \(0.554228\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0.0863236 | + | 0.149517i | 0.00439946 | + | 0.00762008i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 11.0000 | 0.559161 | ||||||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 17.8609 | − | 30.9360i | 0.905583 | − | 1.56852i | 0.0854503 | − | 0.996342i | \(-0.472767\pi\) |
0.820133 | − | 0.572173i | \(-0.193900\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −57.1655 | −2.89099 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −4.34339 | + | 7.52297i | −0.219095 | + | 0.379484i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −0.792161 | + | 1.37206i | −0.0398580 | + | 0.0690360i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −4.77657 | − | 8.27326i | −0.239729 | − | 0.415223i | 0.720907 | − | 0.693031i | \(-0.243725\pi\) |
−0.960636 | + | 0.277809i | \(0.910392\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 0.793718 | − | 0.875485i | 0.0397356 | − | 0.0438291i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −15.4418 | − | 26.7459i | −0.771124 | − | 1.33563i | −0.936947 | − | 0.349471i | \(-0.886361\pi\) |
0.165823 | − | 0.986156i | \(-0.446972\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −6.26755 | + | 10.8557i | −0.312209 | + | 0.540761i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −1.10392 | + | 1.91204i | −0.0548542 | + | 0.0950103i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −1.48206 | −0.0734629 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −15.7816 | + | 27.3345i | −0.780349 | + | 1.35160i | 0.151389 | + | 0.988474i | \(0.451625\pi\) |
−0.931738 | + | 0.363130i | \(0.881708\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −6.62955 | −0.327012 | ||||||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −0.309757 | − | 0.536515i | −0.0152421 | − | 0.0264002i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 4.76053 | + | 8.24548i | 0.233685 | + | 0.404755i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 4.36245 | 0.213630 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 26.5070 | 1.29495 | 0.647476 | − | 0.762086i | \(-0.275824\pi\) | ||||
0.647476 | + | 0.762086i | \(0.275824\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 10.1180 | + | 17.5248i | 0.493119 | + | 0.854107i | 0.999969 | − | 0.00792731i | \(-0.00252337\pi\) |
−0.506850 | + | 0.862035i | \(0.669190\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 2.10392 | + | 3.64410i | 0.102296 | + | 0.177182i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 7.07730 | 0.343300 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 1.39608 | − | 2.41808i | 0.0675611 | − | 0.117019i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 4.75385 | 0.229518 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −5.73045 | + | 9.92543i | −0.276026 | + | 0.478091i | −0.970394 | − | 0.241529i | \(-0.922351\pi\) |
0.694367 | + | 0.719621i | \(0.255684\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −12.9734 | + | 22.4706i | −0.623461 | + | 1.07987i | 0.365375 | + | 0.930860i | \(0.380941\pi\) |
−0.988836 | + | 0.149006i | \(0.952393\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −0.135553 | − | 0.234784i | −0.00649925 | − | 0.0112570i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −34.4136 | − | 7.43771i | −1.64622 | − | 0.355794i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 12.6562 | + | 21.9211i | 0.604046 | + | 1.04624i | 0.992202 | + | 0.124644i | \(0.0397789\pi\) |
−0.388156 | + | 0.921594i | \(0.626888\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −5.23747 | + | 9.07157i | −0.249403 | + | 0.431979i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 10.0125 | − | 17.3421i | 0.475707 | − | 0.823949i | −0.523905 | − | 0.851776i | \(-0.675525\pi\) |
0.999613 | + | 0.0278272i | \(0.00885883\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −3.14057 | −0.148877 | ||||||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −0.572286 | + | 0.991229i | −0.0270682 | + | 0.0468835i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 19.7601 | 0.932536 | 0.466268 | − | 0.884644i | \(-0.345598\pi\) | ||||
0.466268 | + | 0.884644i | \(0.345598\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 2.81522 | + | 4.87610i | 0.132563 | + | 0.229607i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 0.593786 | + | 1.02847i | 0.0278985 | + | 0.0483216i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 1.10938 | 0.0520086 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −34.4647 | −1.61219 | −0.806096 | − | 0.591785i | \(-0.798423\pi\) | ||||
−0.806096 | + | 0.591785i | \(0.798423\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −19.4874 | − | 33.7532i | −0.909595 | − | 1.57546i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 3.96637 | + | 6.86995i | 0.184732 | + | 0.319965i | 0.943486 | − | 0.331412i | \(-0.107525\pi\) |
−0.758754 | + | 0.651377i | \(0.774192\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −9.25395 | −0.430068 | −0.215034 | − | 0.976607i | \(-0.568986\pi\) | ||||
−0.215034 | + | 0.976607i | \(0.568986\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 1.53163 | − | 2.65287i | 0.0710278 | − | 0.123024i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −9.47183 | −0.438304 | −0.219152 | − | 0.975691i | \(-0.570329\pi\) | ||||
−0.219152 | + | 0.975691i | \(0.570329\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −1.17265 | + | 2.03108i | −0.0541478 | + | 0.0937868i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 1.65861 | − | 2.87280i | 0.0764247 | − | 0.132371i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 2.83983 | + | 4.91873i | 0.130576 | + | 0.226164i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 4.26053 | + | 0.920816i | 0.195486 | + | 0.0422499i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 3.30074 | + | 5.71704i | 0.151130 | + | 0.261765i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −17.3574 | + | 30.0639i | −0.793081 | + | 1.37366i | 0.130969 | + | 0.991386i | \(0.458191\pi\) |
−0.924050 | + | 0.382270i | \(0.875142\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −4.76164 | + | 8.24740i | −0.217112 | + | 0.376049i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 2.18980 | 0.0996393 | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −3.18122 | + | 5.51004i | −0.144452 | + | 0.250198i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 28.5070 | 1.29178 | 0.645888 | − | 0.763432i | \(-0.276487\pi\) | ||||
0.645888 | + | 0.763432i | \(0.276487\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 1.95735 | + | 3.39022i | 0.0885142 | + | 0.153311i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −15.5949 | − | 27.0112i | −0.703788 | − | 1.21900i | −0.967127 | − | 0.254293i | \(-0.918157\pi\) |
0.263339 | − | 0.964703i | \(-0.415176\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 1.57028 | 0.0707221 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 1.17265 | 0.0527066 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −1.09178 | − | 1.89103i | −0.0489732 | − | 0.0848242i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 8.09334 | + | 14.0181i | 0.362308 | + | 0.627535i | 0.988340 | − | 0.152262i | \(-0.0486556\pi\) |
−0.626032 | + | 0.779797i | \(0.715322\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 12.4899 | 0.558006 | ||||||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 8.61094 | − | 14.9146i | 0.383943 | − | 0.665008i | −0.607679 | − | 0.794183i | \(-0.707899\pi\) |
0.991622 | + | 0.129174i | \(0.0412327\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 7.39452 | 0.329052 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 7.33126 | − | 12.6981i | 0.325593 | − | 0.563943i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 18.2956 | − | 31.6889i | 0.810939 | − | 1.40459i | −0.101268 | − | 0.994859i | \(-0.532290\pi\) |
0.912207 | − | 0.409729i | \(-0.134377\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 1.56171 | + | 2.70496i | 0.0690859 | + | 0.119660i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −7.33983 | − | 22.8549i | −0.324062 | − | 1.00907i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −6.10192 | − | 10.5688i | −0.268883 | − | 0.465718i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −1.08632 | + | 1.88157i | −0.0477765 | + | 0.0827512i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −1.62853 | + | 2.82070i | −0.0714847 | + | 0.123815i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −3.63667 | −0.159325 | −0.0796626 | − | 0.996822i | \(-0.525384\pi\) | ||||
−0.0796626 | + | 0.996822i | \(0.525384\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −17.8117 | + | 30.8507i | −0.778850 | + | 1.34901i | 0.153756 | + | 0.988109i | \(0.450863\pi\) |
−0.932605 | + | 0.360898i | \(0.882470\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −0.271105 | −0.0118320 | ||||||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 8.87147 | + | 15.3658i | 0.386447 | + | 0.669346i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −21.1214 | − | 36.5834i | −0.918322 | − | 1.59058i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −4.20784 | −0.182605 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 36.1796 | 1.56711 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 0.816776 | + | 1.41470i | 0.0353123 | + | 0.0611627i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 7.90354 | + | 13.6893i | 0.341063 | + | 0.590739i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −5.40856 | −0.232963 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −1.58632 | + | 2.74759i | −0.0682014 | + | 0.118128i | −0.898110 | − | 0.439772i | \(-0.855059\pi\) |
0.829908 | + | 0.557900i | \(0.188393\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 22.7420 | 0.975955 | ||||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −3.80820 | + | 6.59600i | −0.163125 | + | 0.282541i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −14.1902 | + | 24.5782i | −0.606731 | + | 1.05089i | 0.385044 | + | 0.922898i | \(0.374186\pi\) |
−0.991775 | + | 0.127991i | \(0.959147\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −9.48240 | − | 16.4240i | −0.404699 | − | 0.700959i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 0.945310 | + | 0.204307i | 0.0402715 | + | 0.00870377i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 0.175762 | + | 0.304428i | 0.00747415 | + | 0.0129456i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 1.16363 | − | 2.01546i | 0.0493932 | − | 0.0855516i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −1.06527 | + | 1.84510i | −0.0451368 | + | 0.0781793i | −0.887711 | − | 0.460401i | \(-0.847706\pi\) |
0.842574 | + | 0.538580i | \(0.181039\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 36.4959 | 1.54361 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 3.36445 | − | 5.82739i | 0.142047 | − | 0.246033i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 20.2609 | 0.853894 | 0.426947 | − | 0.904277i | \(-0.359589\pi\) | ||||
0.426947 | + | 0.904277i | \(0.359589\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 6.24449 | + | 10.8158i | 0.262708 | + | 0.455023i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 0.244933 | + | 0.424237i | 0.0102862 | + | 0.0178163i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −34.7530 | −1.45692 | −0.728460 | − | 0.685088i | \(-0.759764\pi\) | ||||
−0.728460 | + | 0.685088i | \(0.759764\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −32.0702 | −1.34210 | −0.671048 | − | 0.741414i | \(-0.734155\pi\) | ||||
−0.671048 | + | 0.741414i | \(0.734155\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 14.0773 | + | 24.3826i | 0.588088 | + | 1.01860i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 4.03865 | + | 6.99515i | 0.168423 | + | 0.291718i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 30.2740 | 1.26032 | 0.630162 | − | 0.776464i | \(-0.282988\pi\) | ||||
0.630162 | + | 0.776464i | \(0.282988\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −10.4332 | + | 18.0708i | −0.433588 | + | 0.750996i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 2.11250 | 0.0876411 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −1.70428 | + | 2.95190i | −0.0705841 | + | 0.122255i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 3.76755 | − | 6.52558i | 0.155769 | − | 0.269800i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 1.24805 | + | 2.16168i | 0.0515125 | + | 0.0892222i | 0.890632 | − | 0.454725i | \(-0.150262\pi\) |
−0.839119 | + | 0.543947i | \(0.816929\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 3.34139 | + | 10.4045i | 0.137680 | + | 0.428708i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −5.38862 | − | 9.33336i | −0.221658 | − | 0.383923i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 4.98196 | − | 8.62901i | 0.204585 | − | 0.354351i | −0.745416 | − | 0.666600i | \(-0.767749\pi\) |
0.950000 | + | 0.312249i | \(0.101082\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0.785142 | − | 1.35991i | 0.0321877 | − | 0.0557507i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −3.48898 | −0.142794 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 16.0351 | − | 27.7736i | 0.655176 | − | 1.13480i | −0.326673 | − | 0.945137i | \(-0.605928\pi\) |
0.981850 | − | 0.189661i | \(-0.0607389\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 3.68278 | 0.150224 | 0.0751119 | − | 0.997175i | \(-0.476069\pi\) | ||||
0.0751119 | + | 0.997175i | \(0.476069\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 7.96481 | + | 13.7955i | 0.324352 | + | 0.561794i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −5.19726 | − | 9.00192i | −0.211299 | − | 0.365980i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 20.4850 | 0.831460 | 0.415730 | − | 0.909488i | \(-0.363526\pi\) | ||||
0.415730 | + | 0.909488i | \(0.363526\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −0.0601518 | −0.00243747 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 6.98040 | + | 12.0904i | 0.282397 | + | 0.489126i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −5.35587 | − | 9.27664i | −0.216322 | − | 0.374680i | 0.737359 | − | 0.675501i | \(-0.236073\pi\) |
−0.953681 | + | 0.300821i | \(0.902739\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −8.84139 | −0.356519 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 8.86600 | − | 15.3564i | 0.356932 | − | 0.618224i | −0.630515 | − | 0.776177i | \(-0.717156\pi\) |
0.987447 | + | 0.157953i | \(0.0504895\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 13.2780 | 0.533689 | 0.266844 | − | 0.963740i | \(-0.414019\pi\) | ||||
0.266844 | + | 0.963740i | \(0.414019\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 22.2409 | − | 38.5224i | 0.892498 | − | 1.54585i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −0.348409 | + | 0.603462i | −0.0139587 | + | 0.0241772i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −0.500000 | − | 0.866025i | −0.0200000 | − | 0.0346410i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 2.78359 | − | 3.07034i | 0.111166 | − | 0.122618i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 6.73992 | + | 11.6739i | 0.268738 | + | 0.465468i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 2.03208 | − | 3.51966i | 0.0808957 | − | 0.140115i | −0.822739 | − | 0.568419i | \(-0.807555\pi\) |
0.903635 | + | 0.428304i | \(0.140889\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 7.87347 | − | 13.6372i | 0.312942 | − | 0.542032i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −13.0421 | −0.517560 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −17.3769 | + | 30.0977i | −0.688499 | + | 1.19252i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −14.8312 | −0.586712 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −2.49254 | − | 4.31720i | −0.0984493 | − | 0.170519i | 0.812594 | − | 0.582831i | \(-0.198055\pi\) |
−0.911043 | + | 0.412311i | \(0.864722\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −2.93829 | − | 5.08927i | −0.115875 | − | 0.200701i | 0.802254 | − | 0.596983i | \(-0.203634\pi\) |
−0.918129 | + | 0.396281i | \(0.870300\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −8.91869 | −0.351173 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −16.9757 | −0.667385 | −0.333692 | − | 0.942682i | \(-0.608295\pi\) | ||||
−0.333692 | + | 0.942682i | \(0.608295\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −1.08632 | − | 1.88157i | −0.0426419 | − | 0.0738580i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −0.339833 | − | 0.588608i | −0.0133191 | − | 0.0230694i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 24.6797 | 0.965790 | 0.482895 | − | 0.875678i | \(-0.339585\pi\) | ||||
0.482895 | + | 0.875678i | \(0.339585\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −3.55469 | + | 6.15690i | −0.138893 | + | 0.240570i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 21.2148 | 0.827667 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 0.943308 | − | 1.63386i | 0.0367461 | − | 0.0636461i | −0.847067 | − | 0.531485i | \(-0.821634\pi\) |
0.883814 | + | 0.467839i | \(0.154967\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −22.3749 | + | 38.7545i | −0.870284 | + | 1.50738i | −0.00858048 | + | 0.999963i | \(0.502731\pi\) |
−0.861703 | + | 0.507413i | \(0.830602\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −21.6190 | − | 37.4452i | −0.839611 | − | 1.45425i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 0.649590 | − | 0.716509i | 0.0251900 | − | 0.0277850i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 0.896081 | + | 1.55206i | 0.0346964 | + | 0.0600959i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −12.6511 | + | 21.9124i | −0.489122 | + | 0.847183i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 4.89608 | − | 8.48026i | 0.189011 | − | 0.327377i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 25.4046 | 0.979274 | 0.489637 | − | 0.871926i | \(-0.337129\pi\) | ||||
0.489637 | + | 0.871926i | \(0.337129\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −2.75351 | + | 4.76922i | −0.105983 | + | 0.183567i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −3.86946 | −0.148716 | −0.0743578 | − | 0.997232i | \(-0.523691\pi\) | ||||
−0.0743578 | + | 0.997232i | \(0.523691\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 0.705838 | + | 1.22255i | 0.0270876 | + | 0.0469170i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −2.44375 | − | 4.23270i | −0.0936448 | − | 0.162198i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 48.5171 | 1.85645 | 0.928227 | − | 0.372015i | \(-0.121333\pi\) | ||||
0.928227 | + | 0.372015i | \(0.121333\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −5.42571 | −0.207306 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 2.16217 | + | 3.74499i | 0.0824919 | + | 0.142880i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 10.9512 | + | 18.9681i | 0.417208 | + | 0.722626i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 47.6374 | 1.81221 | 0.906105 | − | 0.423052i | \(-0.139041\pi\) | ||||
0.906105 | + | 0.423052i | \(0.139041\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 0.130091 | − | 0.225325i | 0.00494176 | − | 0.00855937i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 3.57028 | 0.135429 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 25.6054 | − | 44.3498i | 0.969873 | − | 1.67987i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −12.0874 | + | 20.9361i | −0.457189 | + | 0.791874i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −14.2766 | − | 24.7277i | −0.539218 | − | 0.933954i | −0.998946 | − | 0.0458939i | \(-0.985386\pi\) |
0.459728 | − | 0.888060i | \(-0.347947\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 2.53855 | + | 7.90458i | 0.0957434 | + | 0.298127i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −1.70584 | − | 2.95460i | −0.0642456 | − | 0.111277i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 0.820334 | − | 1.42086i | 0.0308518 | − | 0.0534370i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −9.74137 | + | 16.8726i | −0.365845 | + | 0.633662i | −0.988911 | − | 0.148507i | \(-0.952553\pi\) |
0.623066 | + | 0.782169i | \(0.285887\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 2.38760 | 0.0895421 | ||||||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −10.1250 | + | 17.5370i | −0.379183 | + | 0.656765i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 3.89062 | 0.145501 | ||||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −14.5245 | − | 25.1572i | −0.542428 | − | 0.939513i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 2.05313 | + | 3.55613i | 0.0765689 | + | 0.132621i | 0.901767 | − | 0.432221i | \(-0.142270\pi\) |
−0.825199 | + | 0.564843i | \(0.808937\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −2.70774 | −0.100842 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 5.55002 | 0.206407 | ||||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −0.110938 | − | 0.192150i | −0.00412014 | − | 0.00713629i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −6.20584 | − | 10.7488i | −0.230162 | − | 0.398652i | 0.727694 | − | 0.685902i | \(-0.240592\pi\) |
−0.957856 | + | 0.287250i | \(0.907259\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 23.5139 | 0.870887 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 25.8293 | − | 44.7376i | 0.955330 | − | 1.65468i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −16.3985 | −0.605693 | −0.302847 | − | 0.953039i | \(-0.597937\pi\) | ||||
−0.302847 | + | 0.953039i | \(0.597937\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 4.24649 | − | 7.35514i | 0.156634 | − | 0.271298i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −4.11250 | + | 7.12305i | −0.151486 | + | 0.262381i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −23.1018 | − | 40.0135i | −0.849814 | − | 1.47192i | −0.881374 | − | 0.472419i | \(-0.843381\pi\) |
0.0315597 | − | 0.999502i | \(-0.489953\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −8.14267 | − | 25.3547i | −0.299128 | − | 0.931430i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −12.4066 | − | 21.4888i | −0.455153 | − | 0.788347i | 0.543544 | − | 0.839380i | \(-0.317082\pi\) |
−0.998697 | + | 0.0510331i | \(0.983749\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −0.468367 | + | 0.811235i | −0.0171596 | + | 0.0297214i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 7.17420 | − | 12.4261i | 0.262490 | − | 0.454647i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 0.362446 | 0.0132435 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −5.26955 | + | 9.12712i | −0.192289 | + | 0.333054i | −0.946008 | − | 0.324142i | \(-0.894924\pi\) |
0.753720 | + | 0.657196i | \(0.228258\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −23.8303 | −0.868423 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 0.485963 | + | 0.841712i | 0.0176860 | + | 0.0306330i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 3.09836 | + | 5.36652i | 0.112612 | + | 0.195049i | 0.916823 | − | 0.399295i | \(-0.130745\pi\) |
−0.804211 | + | 0.594344i | \(0.797412\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 7.67967 | 0.278754 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 35.6084 | 1.29080 | 0.645402 | − | 0.763843i | \(-0.276690\pi\) | ||||
0.645402 | + | 0.763843i | \(0.276690\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 0.844949 | + | 1.46349i | 0.0305892 | + | 0.0529820i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −5.33281 | − | 9.23671i | −0.192808 | − | 0.333954i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −13.9608 | −0.504095 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 0.0777477 | − | 0.134663i | 0.00280365 | − | 0.00485607i | −0.864620 | − | 0.502426i | \(-0.832441\pi\) |
0.867424 | + | 0.497570i | \(0.165774\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −2.15550 | −0.0776283 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 2.54411 | − | 4.40653i | 0.0915054 | − | 0.158492i | −0.816639 | − | 0.577148i | \(-0.804165\pi\) |
0.908145 | + | 0.418656i | \(0.137499\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 1.25351 | − | 2.17114i | 0.0450274 | − | 0.0779897i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −0.258181 | − | 0.447183i | −0.00926220 | − | 0.0160426i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 21.1847 | − | 23.3671i | 0.759020 | − | 0.837212i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −3.82891 | − | 6.63187i | −0.137009 | − | 0.237307i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −0.610938 | + | 1.05818i | −0.0218331 | + | 0.0378161i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 1.35743 | − | 2.35114i | 0.0484487 | − | 0.0839156i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 22.5070 | 0.802289 | 0.401144 | − | 0.916015i | \(-0.368613\pi\) | ||||
0.401144 | + | 0.916015i | \(0.368613\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 3.95389 | − | 6.84833i | 0.140762 | − | 0.243807i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 2.77101 | 0.0985257 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −31.4608 | − | 54.4917i | −1.11721 | − | 1.93506i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −2.67621 | − | 4.63532i | −0.0949152 | − | 0.164398i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 29.2219 | 1.03509 | 0.517546 | − | 0.855655i | \(-0.326846\pi\) | ||||
0.517546 | + | 0.855655i | \(0.326846\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 19.7610 | 0.699093 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 2.36645 | + | 4.09881i | 0.0836144 | + | 0.144824i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 5.47694 | + | 9.48634i | 0.193277 | + | 0.334766i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 1.79216 | 0.0631654 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 17.4031 | − | 30.1431i | 0.612618 | − | 1.06109i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 25.8664 | 0.909412 | 0.454706 | − | 0.890641i | \(-0.349744\pi\) | ||||
0.454706 | + | 0.890641i | \(0.349744\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −9.84841 | + | 17.0579i | −0.345824 | + | 0.598985i | −0.985503 | − | 0.169657i | \(-0.945734\pi\) |
0.639679 | + | 0.768642i | \(0.279067\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 0.301181 | − | 0.521661i | 0.0105629 | − | 0.0182954i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 1.60192 | + | 2.77460i | 0.0561127 | + | 0.0971901i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 21.3699 | − | 23.5714i | 0.747638 | − | 0.824658i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −0.835929 | − | 1.44787i | −0.0292097 | − | 0.0505927i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −2.04021 | + | 3.53375i | −0.0712038 | + | 0.123329i | −0.899429 | − | 0.437067i | \(-0.856017\pi\) |
0.828225 | + | 0.560395i | \(0.189351\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 5.30318 | − | 9.18538i | 0.184857 | − | 0.320182i | −0.758671 | − | 0.651474i | \(-0.774151\pi\) |
0.943528 | + | 0.331292i | \(0.107484\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −0.950771 | −0.0331016 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 7.70228 | − | 13.3407i | 0.267834 | − | 0.463903i | −0.700468 | − | 0.713684i | \(-0.747025\pi\) |
0.968302 | + | 0.249781i | \(0.0803586\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 21.2350 | 0.737523 | 0.368761 | − | 0.929524i | \(-0.379782\pi\) | ||||
0.368761 | + | 0.929524i | \(0.379782\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −5.36956 | − | 9.30036i | −0.186268 | − | 0.322626i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 24.5964 | + | 42.6021i | 0.852213 | + | 1.47608i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 10.2219 | 0.353743 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −13.8062 | −0.477212 | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −3.04567 | − | 5.27526i | −0.105148 | − | 0.182122i | 0.808651 | − | 0.588289i | \(-0.200198\pi\) |
−0.913799 | + | 0.406167i | \(0.866865\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 14.4754 | + | 25.0721i | 0.499151 | + | 0.864555i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 5.79528 | 0.199600 | ||||||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 6.00000 | − | 10.3923i | 0.206406 | − | 0.357506i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −2.30630 | −0.0792453 | ||||||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −10.3062 | + | 17.8509i | −0.353708 | + | 0.612640i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −7.69224 | + | 13.3234i | −0.263687 | + | 0.456719i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 17.4824 | + | 30.2804i | 0.598586 | + | 1.03678i | 0.993030 | + | 0.117862i | \(0.0376039\pi\) |
−0.394444 | + | 0.918920i | \(0.629063\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −2.00858 | − | 6.25433i | −0.0686918 | − | 0.213894i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −2.07575 | − | 3.59530i | −0.0709061 | − | 0.122813i | 0.828393 | − | 0.560148i | \(-0.189256\pi\) |
−0.899299 | + | 0.437335i | \(0.855922\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 14.1245 | − | 24.4644i | 0.481923 | − | 0.834715i | −0.517862 | − | 0.855464i | \(-0.673272\pi\) |
0.999785 | + | 0.0207495i | \(0.00660523\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −0.980847 | + | 1.69888i | −0.0334272 | + | 0.0578976i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −51.8272 | −1.76422 | −0.882108 | − | 0.471046i | \(-0.843876\pi\) | ||||
−0.882108 | + | 0.471046i | \(0.843876\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −1.33281 | + | 2.30850i | −0.0453170 | + | 0.0784914i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −40.4297 | −1.37307 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 0.616399 | + | 1.06764i | 0.0209099 | + | 0.0362170i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 26.4257 | + | 45.7707i | 0.895401 | + | 1.55088i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 9.58832 | 0.324516 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −0.221876 | −0.00750078 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 23.5999 | + | 40.8763i | 0.796913 | + | 1.38029i | 0.921618 | + | 0.388099i | \(0.126868\pi\) |
−0.124705 | + | 0.992194i | \(0.539798\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 7.10738 | + | 12.3103i | 0.239726 | + | 0.415218i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −33.8935 | −1.14190 | −0.570951 | − | 0.820984i | \(-0.693425\pi\) | ||||
−0.570951 | + | 0.820984i | \(0.693425\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 10.5331 | − | 18.2439i | 0.354467 | − | 0.613954i | −0.632560 | − | 0.774512i | \(-0.717996\pi\) |
0.987027 | + | 0.160557i | \(0.0513291\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 3.41168 | 0.114682 | ||||||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 3.60738 | − | 6.24816i | 0.121124 | − | 0.209793i | −0.799087 | − | 0.601215i | \(-0.794683\pi\) |
0.920211 | + | 0.391422i | \(0.128017\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −1.44687 | + | 2.50605i | −0.0485264 | + | 0.0840501i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 0.858986 | + | 1.48781i | 0.0287771 | + | 0.0498434i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 11.8961 | + | 2.57107i | 0.398087 | + | 0.0860374i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 6.46837 | + | 11.2035i | 0.216214 | + | 0.374493i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 24.6737 | − | 42.7360i | 0.823830 | − | 1.42691i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 0.278124 | − | 0.481725i | 0.00927595 | − | 0.0160664i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 31.0020 | 1.03283 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −0.989423 | + | 1.71373i | −0.0329259 | + | 0.0570294i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 18.6124 | 0.618697 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 0.584322 | + | 1.01208i | 0.0194021 | + | 0.0336054i | 0.875563 | − | 0.483103i | \(-0.160490\pi\) |
−0.856161 | + | 0.516709i | \(0.827157\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −5.57184 | − | 9.65071i | −0.184806 | − | 0.320094i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 12.3313 | 0.408553 | 0.204276 | − | 0.978913i | \(-0.434516\pi\) | ||||
0.204276 | + | 0.978913i | \(0.434516\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 7.40856 | 0.245188 | ||||||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 7.68824 | + | 13.3164i | 0.254165 | + | 0.440227i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 0.788701 | + | 1.36607i | 0.0260452 | + | 0.0451116i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −52.8895 | −1.74466 | −0.872332 | − | 0.488913i | \(-0.837393\pi\) | ||||
−0.872332 | + | 0.488913i | \(0.837393\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −3.59880 | + | 6.23331i | −0.118585 | + | 0.205395i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −49.2070 | −1.61967 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 0.952328 | − | 1.64948i | 0.0313124 | − | 0.0542346i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −9.19570 | + | 15.9274i | −0.302027 | + | 0.523125i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −0.695704 | − | 1.20500i | −0.0228253 | − | 0.0395346i | 0.854387 | − | 0.519637i | \(-0.173933\pi\) |
−0.877212 | + | 0.480102i | \(0.840599\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 9.26409 | + | 28.8466i | 0.303618 | + | 0.945410i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −9.05425 | − | 15.6824i | −0.296423 | − | 0.513419i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 2.75351 | − | 4.76922i | 0.0900494 | − | 0.155970i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 16.6847 | − | 28.8987i | 0.545065 | − | 0.944080i | −0.453538 | − | 0.891237i | \(-0.649838\pi\) |
0.998603 | − | 0.0528430i | \(-0.0168283\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 7.20250 | 0.235045 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −17.6616 | + | 30.5908i | −0.575753 | + | 0.997233i | 0.420207 | + | 0.907428i | \(0.361958\pi\) |
−0.995959 | + | 0.0898043i | \(0.971376\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 58.4467 | 1.90329 | ||||||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 0.610938 | + | 1.05818i | 0.0198738 | + | 0.0344225i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 6.62853 | + | 11.4810i | 0.215398 | + | 0.373081i | 0.953396 | − | 0.301723i | \(-0.0975617\pi\) |
−0.737997 | + | 0.674804i | \(0.764228\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 70.3865 | 2.28484 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 5.08131 | 0.164773 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −9.13511 | − | 15.8225i | −0.295915 | − | 0.512540i | 0.679282 | − | 0.733877i | \(-0.262291\pi\) |
−0.975197 | + | 0.221337i | \(0.928958\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 11.5211 | + | 19.9551i | 0.372813 | + | 0.645730i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −0.210953 | −0.00681916 | ||||||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −0.601918 | + | 1.04255i | −0.0194369 | + | 0.0336658i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −24.7149 | −0.797253 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 1.23090 | − | 2.13197i | 0.0396651 | − | 0.0687019i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −8.53865 | + | 14.7894i | −0.274869 | + | 0.476087i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −22.5562 | − | 39.0686i | −0.725360 | − | 1.25636i | −0.958826 | − | 0.283995i | \(-0.908340\pi\) |
0.233466 | − | 0.972365i | \(-0.424993\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −36.8433 | − | 7.96283i | −1.18358 | − | 0.255803i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 7.80118 | + | 13.5120i | 0.250352 | + | 0.433622i | 0.963623 | − | 0.267266i | \(-0.0861204\pi\) |
−0.713271 | + | 0.700888i | \(0.752787\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 0.396081 | − | 0.686032i | 0.0126978 | − | 0.0219932i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −3.05469 | + | 5.29088i | −0.0978284 | + | 0.169444i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 26.2319 | 0.839233 | 0.419617 | − | 0.907701i | \(-0.362165\pi\) | ||||
0.419617 | + | 0.907701i | \(0.362165\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −1.22188 | + | 2.11635i | −0.0390513 | + | 0.0676389i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 11.4781 | 0.366466 | ||||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −17.1706 | − | 29.7404i | −0.547659 | − | 0.948572i | −0.998434 | − | 0.0559353i | \(-0.982186\pi\) |
0.450776 | − | 0.892637i | \(-0.351147\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −4.41012 | − | 7.63855i | −0.140518 | − | 0.243384i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −0.756969 | −0.0240946 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 58.9577 | 1.87475 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 1.65159 | + | 2.86064i | 0.0524645 | + | 0.0908712i | 0.891065 | − | 0.453876i | \(-0.149959\pi\) |
−0.838600 | + | 0.544747i | \(0.816626\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −6.52461 | − | 11.3010i | −0.207052 | − | 0.358625i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −2.85543 | −0.0905231 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −4.91168 | + | 8.50727i | −0.155554 | + | 0.269428i | −0.933261 | − | 0.359200i | \(-0.883050\pi\) |
0.777706 | + | 0.628628i | \(0.216383\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −10.4890 | −0.331857 |
(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 | 1520.2.q.j.881.2 | 6 | ||
4.3 | odd | 2 | 95.2.e.b.26.3 | yes | 6 | ||
12.11 | even | 2 | 855.2.k.g.406.1 | 6 | |||
19.11 | even | 3 | inner | 1520.2.q.j.961.2 | 6 | ||
20.3 | even | 4 | 475.2.j.b.349.6 | 12 | |||
20.7 | even | 4 | 475.2.j.b.349.1 | 12 | |||
20.19 | odd | 2 | 475.2.e.d.26.1 | 6 | |||
76.7 | odd | 6 | 1805.2.a.h.1.1 | 3 | |||
76.11 | odd | 6 | 95.2.e.b.11.3 | ✓ | 6 | ||
76.31 | even | 6 | 1805.2.a.g.1.3 | 3 | |||
228.11 | even | 6 | 855.2.k.g.676.1 | 6 | |||
380.87 | even | 12 | 475.2.j.b.49.6 | 12 | |||
380.159 | odd | 6 | 9025.2.a.z.1.3 | 3 | |||
380.163 | even | 12 | 475.2.j.b.49.1 | 12 | |||
380.239 | odd | 6 | 475.2.e.d.201.1 | 6 | |||
380.259 | even | 6 | 9025.2.a.ba.1.1 | 3 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
95.2.e.b.11.3 | ✓ | 6 | 76.11 | odd | 6 | ||
95.2.e.b.26.3 | yes | 6 | 4.3 | odd | 2 | ||
475.2.e.d.26.1 | 6 | 20.19 | odd | 2 | |||
475.2.e.d.201.1 | 6 | 380.239 | odd | 6 | |||
475.2.j.b.49.1 | 12 | 380.163 | even | 12 | |||
475.2.j.b.49.6 | 12 | 380.87 | even | 12 | |||
475.2.j.b.349.1 | 12 | 20.7 | even | 4 | |||
475.2.j.b.349.6 | 12 | 20.3 | even | 4 | |||
855.2.k.g.406.1 | 6 | 12.11 | even | 2 | |||
855.2.k.g.676.1 | 6 | 228.11 | even | 6 | |||
1520.2.q.j.881.2 | 6 | 1.1 | even | 1 | trivial | ||
1520.2.q.j.961.2 | 6 | 19.11 | even | 3 | inner | ||
1805.2.a.g.1.3 | 3 | 76.31 | even | 6 | |||
1805.2.a.h.1.1 | 3 | 76.7 | odd | 6 | |||
9025.2.a.z.1.3 | 3 | 380.159 | odd | 6 | |||
9025.2.a.ba.1.1 | 3 | 380.259 | even | 6 |