Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [320,2,Mod(207,320)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(320, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 1, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("320.207");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 320 = 2^{6} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 320.s (of order \(4\), 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: | \(2.55521286468\) |
Analytic rank: | \(0\) |
Dimension: | \(2\) |
Coefficient field: | \(\Q(i)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{2} + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 80) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 303.1 | ||
Root | \(-1.00000i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 320.303 |
Dual form | 320.2.s.a.207.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/320\mathbb{Z}\right)^\times\).
\(n\) | \(191\) | \(257\) | \(261\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{3}{4}\right)\) |
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 | ||||||||
\(3\) | 2.00000 | 1.15470 | 0.577350 | − | 0.816497i | \(-0.304087\pi\) | ||||
0.577350 | + | 0.816497i | \(0.304087\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −2.00000 | − | 1.00000i | −0.894427 | − | 0.447214i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 3.00000 | − | 3.00000i | 1.13389 | − | 1.13389i | 0.144370 | − | 0.989524i | \(-0.453885\pi\) |
0.989524 | − | 0.144370i | \(-0.0461154\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 1.00000 | 0.333333 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 1.00000 | + | 1.00000i | 0.301511 | + | 0.301511i | 0.841605 | − | 0.540094i | \(-0.181611\pi\) |
−0.540094 | + | 0.841605i | \(0.681611\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | − | 2.00000i | − | 0.554700i | −0.960769 | − | 0.277350i | \(-0.910544\pi\) | ||
0.960769 | − | 0.277350i | \(-0.0894562\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −4.00000 | − | 2.00000i | −1.03280 | − | 0.516398i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 1.00000 | − | 1.00000i | 0.242536 | − | 0.242536i | −0.575363 | − | 0.817898i | \(-0.695139\pi\) |
0.817898 | + | 0.575363i | \(0.195139\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 3.00000 | + | 3.00000i | 0.688247 | + | 0.688247i | 0.961844 | − | 0.273597i | \(-0.0882135\pi\) |
−0.273597 | + | 0.961844i | \(0.588214\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 6.00000 | − | 6.00000i | 1.30931 | − | 1.30931i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 1.00000 | + | 1.00000i | 0.208514 | + | 0.208514i | 0.803636 | − | 0.595121i | \(-0.202896\pi\) |
−0.595121 | + | 0.803636i | \(0.702896\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 3.00000 | + | 4.00000i | 0.600000 | + | 0.800000i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −4.00000 | −0.769800 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −7.00000 | + | 7.00000i | −1.29987 | + | 1.29987i | −0.371391 | + | 0.928477i | \(0.621119\pi\) |
−0.928477 | + | 0.371391i | \(0.878881\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | − | 2.00000i | − | 0.359211i | −0.983739 | − | 0.179605i | \(-0.942518\pi\) | ||
0.983739 | − | 0.179605i | \(-0.0574821\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 2.00000 | + | 2.00000i | 0.348155 | + | 0.348155i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −9.00000 | + | 3.00000i | −1.52128 | + | 0.507093i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 6.00000i | 0.986394i | 0.869918 | + | 0.493197i | \(0.164172\pi\) | ||||
−0.869918 | + | 0.493197i | \(0.835828\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | − | 4.00000i | − | 0.640513i | ||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | − | 4.00000i | − | 0.624695i | −0.949968 | − | 0.312348i | \(-0.898885\pi\) | ||
0.949968 | − | 0.312348i | \(-0.101115\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | − | 4.00000i | − | 0.609994i | −0.952353 | − | 0.304997i | \(-0.901344\pi\) | ||
0.952353 | − | 0.304997i | \(-0.0986555\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −2.00000 | − | 1.00000i | −0.298142 | − | 0.149071i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 7.00000 | + | 7.00000i | 1.02105 | + | 1.02105i | 0.999774 | + | 0.0212814i | \(0.00677460\pi\) |
0.0212814 | + | 0.999774i | \(0.493225\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | − | 11.0000i | − | 1.57143i | ||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 2.00000 | − | 2.00000i | 0.280056 | − | 0.280056i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −8.00000 | −1.09888 | −0.549442 | − | 0.835532i | \(-0.685160\pi\) | ||||
−0.549442 | + | 0.835532i | \(0.685160\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −1.00000 | − | 3.00000i | −0.134840 | − | 0.404520i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 6.00000 | + | 6.00000i | 0.794719 | + | 0.794719i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −3.00000 | + | 3.00000i | −0.390567 | + | 0.390567i | −0.874889 | − | 0.484323i | \(-0.839066\pi\) |
0.484323 | + | 0.874889i | \(0.339066\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −1.00000 | − | 1.00000i | −0.128037 | − | 0.128037i | 0.640184 | − | 0.768221i | \(-0.278858\pi\) |
−0.768221 | + | 0.640184i | \(0.778858\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 3.00000 | − | 3.00000i | 0.377964 | − | 0.377964i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −2.00000 | + | 4.00000i | −0.248069 | + | 0.496139i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 4.00000i | 0.488678i | 0.969690 | + | 0.244339i | \(0.0785709\pi\) | ||||
−0.969690 | + | 0.244339i | \(0.921429\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 2.00000 | + | 2.00000i | 0.240772 | + | 0.240772i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 3.00000 | − | 3.00000i | 0.351123 | − | 0.351123i | −0.509404 | − | 0.860527i | \(-0.670134\pi\) |
0.860527 | + | 0.509404i | \(0.170134\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 6.00000 | + | 8.00000i | 0.692820 | + | 0.923760i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 6.00000 | 0.683763 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −8.00000 | −0.900070 | −0.450035 | − | 0.893011i | \(-0.648589\pi\) | ||||
−0.450035 | + | 0.893011i | \(0.648589\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −11.0000 | −1.22222 | ||||||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 2.00000 | 0.219529 | 0.109764 | − | 0.993958i | \(-0.464990\pi\) | ||||
0.109764 | + | 0.993958i | \(0.464990\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −3.00000 | + | 1.00000i | −0.325396 | + | 0.108465i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −14.0000 | + | 14.0000i | −1.50096 | + | 1.50096i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −6.00000 | −0.635999 | −0.317999 | − | 0.948091i | \(-0.603011\pi\) | ||||
−0.317999 | + | 0.948091i | \(0.603011\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −6.00000 | − | 6.00000i | −0.628971 | − | 0.628971i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | − | 4.00000i | − | 0.414781i | ||||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −3.00000 | − | 9.00000i | −0.307794 | − | 0.923381i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −11.0000 | + | 11.0000i | −1.11688 | + | 1.11688i | −0.124684 | + | 0.992196i | \(0.539792\pi\) |
−0.992196 | + | 0.124684i | \(0.960208\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 1.00000 | + | 1.00000i | 0.100504 | + | 0.100504i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −5.00000 | + | 5.00000i | −0.497519 | + | 0.497519i | −0.910665 | − | 0.413146i | \(-0.864430\pi\) |
0.413146 | + | 0.910665i | \(0.364430\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 5.00000 | + | 5.00000i | 0.492665 | + | 0.492665i | 0.909145 | − | 0.416480i | \(-0.136736\pi\) |
−0.416480 | + | 0.909145i | \(0.636736\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −18.0000 | + | 6.00000i | −1.75662 | + | 0.585540i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 6.00000 | 0.580042 | 0.290021 | − | 0.957020i | \(-0.406338\pi\) | ||||
0.290021 | + | 0.957020i | \(0.406338\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 5.00000 | − | 5.00000i | 0.478913 | − | 0.478913i | −0.425871 | − | 0.904784i | \(-0.640032\pi\) |
0.904784 | + | 0.425871i | \(0.140032\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 12.0000i | 1.13899i | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 13.0000 | + | 13.0000i | 1.22294 | + | 1.22294i | 0.966583 | + | 0.256354i | \(0.0825214\pi\) |
0.256354 | + | 0.966583i | \(0.417479\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −1.00000 | − | 3.00000i | −0.0932505 | − | 0.279751i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | − | 2.00000i | − | 0.184900i | ||||||
\(118\) | 0 | 0 | ||||||||
\(119\) | − | 6.00000i | − | 0.550019i | ||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | − | 9.00000i | − | 0.818182i | ||||||
\(122\) | 0 | 0 | ||||||||
\(123\) | − | 8.00000i | − | 0.721336i | ||||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −2.00000 | − | 11.0000i | −0.178885 | − | 0.983870i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 7.00000 | + | 7.00000i | 0.621150 | + | 0.621150i | 0.945825 | − | 0.324676i | \(-0.105255\pi\) |
−0.324676 | + | 0.945825i | \(0.605255\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | − | 8.00000i | − | 0.704361i | ||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 7.00000 | − | 7.00000i | 0.611593 | − | 0.611593i | −0.331768 | − | 0.943361i | \(-0.607645\pi\) |
0.943361 | + | 0.331768i | \(0.107645\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 18.0000 | 1.56080 | ||||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 8.00000 | + | 4.00000i | 0.688530 | + | 0.344265i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −9.00000 | − | 9.00000i | −0.768922 | − | 0.768922i | 0.208995 | − | 0.977917i | \(-0.432981\pi\) |
−0.977917 | + | 0.208995i | \(0.932981\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 9.00000 | − | 9.00000i | 0.763370 | − | 0.763370i | −0.213560 | − | 0.976930i | \(-0.568506\pi\) |
0.976930 | + | 0.213560i | \(0.0685059\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 14.0000 | + | 14.0000i | 1.17901 | + | 1.17901i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 2.00000 | − | 2.00000i | 0.167248 | − | 0.167248i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 21.0000 | − | 7.00000i | 1.74396 | − | 0.581318i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | − | 22.0000i | − | 1.81453i | ||||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 1.00000 | + | 1.00000i | 0.0819232 | + | 0.0819232i | 0.746881 | − | 0.664958i | \(-0.231550\pi\) |
−0.664958 | + | 0.746881i | \(0.731550\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −8.00000 | −0.651031 | −0.325515 | − | 0.945537i | \(-0.605538\pi\) | ||||
−0.325515 | + | 0.945537i | \(0.605538\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 1.00000 | − | 1.00000i | 0.0808452 | − | 0.0808452i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −2.00000 | + | 4.00000i | −0.160644 | + | 0.321288i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 20.0000 | 1.59617 | 0.798087 | − | 0.602542i | \(-0.205846\pi\) | ||||
0.798087 | + | 0.602542i | \(0.205846\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −16.0000 | −1.26888 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 6.00000 | 0.472866 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −14.0000 | −1.09656 | −0.548282 | − | 0.836293i | \(-0.684718\pi\) | ||||
−0.548282 | + | 0.836293i | \(0.684718\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −2.00000 | − | 6.00000i | −0.155700 | − | 0.467099i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 3.00000 | − | 3.00000i | 0.232147 | − | 0.232147i | −0.581441 | − | 0.813588i | \(-0.697511\pi\) |
0.813588 | + | 0.581441i | \(0.197511\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 9.00000 | 0.692308 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 3.00000 | + | 3.00000i | 0.229416 | + | 0.229416i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | − | 6.00000i | − | 0.456172i | −0.973641 | − | 0.228086i | \(-0.926753\pi\) | ||
0.973641 | − | 0.228086i | \(-0.0732467\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 21.0000 | + | 3.00000i | 1.58745 | + | 0.226779i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −6.00000 | + | 6.00000i | −0.450988 | + | 0.450988i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −5.00000 | − | 5.00000i | −0.373718 | − | 0.373718i | 0.495112 | − | 0.868829i | \(-0.335127\pi\) |
−0.868829 | + | 0.495112i | \(0.835127\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 3.00000 | − | 3.00000i | 0.222988 | − | 0.222988i | −0.586767 | − | 0.809756i | \(-0.699600\pi\) |
0.809756 | + | 0.586767i | \(0.199600\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −2.00000 | − | 2.00000i | −0.147844 | − | 0.147844i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 6.00000 | − | 12.0000i | 0.441129 | − | 0.882258i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 2.00000 | 0.146254 | ||||||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −12.0000 | + | 12.0000i | −0.872872 | + | 0.872872i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | − | 18.0000i | − | 1.30243i | −0.758891 | − | 0.651217i | \(-0.774259\pi\) | ||
0.758891 | − | 0.651217i | \(-0.225741\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −15.0000 | − | 15.0000i | −1.07972 | − | 1.07972i | −0.996534 | − | 0.0831899i | \(-0.973489\pi\) |
−0.0831899 | − | 0.996534i | \(-0.526511\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −4.00000 | + | 8.00000i | −0.286446 | + | 0.572892i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | − | 6.00000i | − | 0.427482i | −0.976890 | − | 0.213741i | \(-0.931435\pi\) | ||
0.976890 | − | 0.213741i | \(-0.0685649\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 10.0000i | 0.708881i | 0.935079 | + | 0.354441i | \(0.115329\pi\) | ||||
−0.935079 | + | 0.354441i | \(0.884671\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 8.00000i | 0.564276i | ||||||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 42.0000i | 2.94782i | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −4.00000 | + | 8.00000i | −0.279372 | + | 0.558744i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 1.00000 | + | 1.00000i | 0.0695048 | + | 0.0695048i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 6.00000i | 0.415029i | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 19.0000 | − | 19.0000i | 1.30801 | − | 1.30801i | 0.385167 | − | 0.922847i | \(-0.374144\pi\) |
0.922847 | − | 0.385167i | \(-0.125856\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −4.00000 | + | 8.00000i | −0.272798 | + | 0.545595i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −6.00000 | − | 6.00000i | −0.407307 | − | 0.407307i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 6.00000 | − | 6.00000i | 0.405442 | − | 0.405442i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −2.00000 | − | 2.00000i | −0.134535 | − | 0.134535i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 9.00000 | − | 9.00000i | 0.602685 | − | 0.602685i | −0.338340 | − | 0.941024i | \(-0.609865\pi\) |
0.941024 | + | 0.338340i | \(0.109865\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 3.00000 | + | 4.00000i | 0.200000 | + | 0.266667i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 12.0000i | 0.796468i | 0.917284 | + | 0.398234i | \(0.130377\pi\) | ||||
−0.917284 | + | 0.398234i | \(0.869623\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 1.00000 | + | 1.00000i | 0.0660819 | + | 0.0660819i | 0.739375 | − | 0.673293i | \(-0.235121\pi\) |
−0.673293 | + | 0.739375i | \(0.735121\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 12.0000 | 0.789542 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −9.00000 | + | 9.00000i | −0.589610 | + | 0.589610i | −0.937526 | − | 0.347916i | \(-0.886889\pi\) |
0.347916 | + | 0.937526i | \(0.386889\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −7.00000 | − | 21.0000i | −0.456630 | − | 1.36989i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −16.0000 | −1.03931 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −14.0000 | −0.901819 | −0.450910 | − | 0.892570i | \(-0.648900\pi\) | ||||
−0.450910 | + | 0.892570i | \(0.648900\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −10.0000 | −0.641500 | ||||||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −11.0000 | + | 22.0000i | −0.702764 | + | 1.40553i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 6.00000 | − | 6.00000i | 0.381771 | − | 0.381771i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 4.00000 | 0.253490 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −11.0000 | − | 11.0000i | −0.694314 | − | 0.694314i | 0.268864 | − | 0.963178i | \(-0.413352\pi\) |
−0.963178 | + | 0.268864i | \(0.913352\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 2.00000i | 0.125739i | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −6.00000 | + | 2.00000i | −0.375735 | + | 0.125245i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 13.0000 | − | 13.0000i | 0.810918 | − | 0.810918i | −0.173854 | − | 0.984771i | \(-0.555622\pi\) |
0.984771 | + | 0.173854i | \(0.0556220\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 18.0000 | + | 18.0000i | 1.11847 | + | 1.11847i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −7.00000 | + | 7.00000i | −0.433289 | + | 0.433289i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −7.00000 | − | 7.00000i | −0.431638 | − | 0.431638i | 0.457547 | − | 0.889185i | \(-0.348728\pi\) |
−0.889185 | + | 0.457547i | \(0.848728\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 16.0000 | + | 8.00000i | 0.982872 | + | 0.491436i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −12.0000 | −0.734388 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 1.00000 | − | 1.00000i | 0.0609711 | − | 0.0609711i | −0.675964 | − | 0.736935i | \(-0.736272\pi\) |
0.736935 | + | 0.675964i | \(0.236272\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 30.0000i | 1.82237i | 0.411997 | + | 0.911185i | \(0.364831\pi\) | ||||
−0.411997 | + | 0.911185i | \(0.635169\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −12.0000 | − | 12.0000i | −0.726273 | − | 0.726273i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −1.00000 | + | 7.00000i | −0.0603023 | + | 0.422116i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | − | 18.0000i | − | 1.08152i | −0.841178 | − | 0.540758i | \(-0.818138\pi\) | ||
0.841178 | − | 0.540758i | \(-0.181862\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | − | 2.00000i | − | 0.119737i | ||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 16.0000i | 0.954480i | 0.878773 | + | 0.477240i | \(0.158363\pi\) | ||||
−0.878773 | + | 0.477240i | \(0.841637\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | − | 12.0000i | − | 0.713326i | −0.934233 | − | 0.356663i | \(-0.883914\pi\) | ||
0.934233 | − | 0.356663i | \(-0.116086\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −6.00000 | − | 18.0000i | −0.355409 | − | 1.06623i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −12.0000 | − | 12.0000i | −0.708338 | − | 0.708338i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 15.0000i | 0.882353i | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −22.0000 | + | 22.0000i | −1.28966 | + | 1.28966i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −12.0000 | −0.701047 | −0.350524 | − | 0.936554i | \(-0.613996\pi\) | ||||
−0.350524 | + | 0.936554i | \(0.613996\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 9.00000 | − | 3.00000i | 0.524000 | − | 0.174667i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −4.00000 | − | 4.00000i | −0.232104 | − | 0.232104i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 2.00000 | − | 2.00000i | 0.115663 | − | 0.115663i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −12.0000 | − | 12.0000i | −0.691669 | − | 0.691669i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −10.0000 | + | 10.0000i | −0.574485 | + | 0.574485i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 1.00000 | + | 3.00000i | 0.0572598 | + | 0.171780i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | − | 4.00000i | − | 0.228292i | −0.993464 | − | 0.114146i | \(-0.963587\pi\) | ||
0.993464 | − | 0.114146i | \(-0.0364132\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 10.0000 | + | 10.0000i | 0.568880 | + | 0.568880i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −16.0000 | −0.907277 | −0.453638 | − | 0.891186i | \(-0.649874\pi\) | ||||
−0.453638 | + | 0.891186i | \(0.649874\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −13.0000 | + | 13.0000i | −0.734803 | + | 0.734803i | −0.971567 | − | 0.236764i | \(-0.923913\pi\) |
0.236764 | + | 0.971567i | \(0.423913\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −9.00000 | + | 3.00000i | −0.507093 | + | 0.169031i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 8.00000 | 0.449325 | 0.224662 | − | 0.974437i | \(-0.427872\pi\) | ||||
0.224662 | + | 0.974437i | \(0.427872\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −14.0000 | −0.783850 | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 12.0000 | 0.669775 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 6.00000 | 0.333849 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 8.00000 | − | 6.00000i | 0.443760 | − | 0.332820i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 10.0000 | − | 10.0000i | 0.553001 | − | 0.553001i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 42.0000 | 2.31553 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 21.0000 | + | 21.0000i | 1.15426 | + | 1.15426i | 0.985689 | + | 0.168576i | \(0.0539168\pi\) |
0.168576 | + | 0.985689i | \(0.446083\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 6.00000i | 0.328798i | ||||||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 4.00000 | − | 8.00000i | 0.218543 | − | 0.437087i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −11.0000 | + | 11.0000i | −0.599208 | + | 0.599208i | −0.940102 | − | 0.340894i | \(-0.889270\pi\) |
0.340894 | + | 0.940102i | \(0.389270\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 26.0000 | + | 26.0000i | 1.41213 | + | 1.41213i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 2.00000 | − | 2.00000i | 0.108306 | − | 0.108306i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −12.0000 | − | 12.0000i | −0.647939 | − | 0.647939i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −2.00000 | − | 6.00000i | −0.107676 | − | 0.323029i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −2.00000 | −0.107366 | −0.0536828 | − | 0.998558i | \(-0.517096\pi\) | ||||
−0.0536828 | + | 0.998558i | \(0.517096\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −3.00000 | + | 3.00000i | −0.160586 | + | 0.160586i | −0.782826 | − | 0.622240i | \(-0.786223\pi\) |
0.622240 | + | 0.782826i | \(0.286223\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 8.00000i | 0.427008i | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 13.0000 | + | 13.0000i | 0.691920 | + | 0.691920i | 0.962654 | − | 0.270734i | \(-0.0872664\pi\) |
−0.270734 | + | 0.962654i | \(0.587266\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 0 | 0 | ||||||||
\(356\) | 0 | 0 | ||||||||
\(357\) | − | 12.0000i | − | 0.635107i | ||||||
\(358\) | 0 | 0 | ||||||||
\(359\) | − | 14.0000i | − | 0.738892i | −0.929252 | − | 0.369446i | \(-0.879548\pi\) | ||
0.929252 | − | 0.369446i | \(-0.120452\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | − | 1.00000i | − | 0.0526316i | ||||||
\(362\) | 0 | 0 | ||||||||
\(363\) | − | 18.0000i | − | 0.944755i | ||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −9.00000 | + | 3.00000i | −0.471082 | + | 0.157027i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −21.0000 | − | 21.0000i | −1.09619 | − | 1.09619i | −0.994852 | − | 0.101339i | \(-0.967687\pi\) |
−0.101339 | − | 0.994852i | \(-0.532313\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | − | 4.00000i | − | 0.208232i | ||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −24.0000 | + | 24.0000i | −1.24602 | + | 1.24602i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −4.00000 | −0.207112 | −0.103556 | − | 0.994624i | \(-0.533022\pi\) | ||||
−0.103556 | + | 0.994624i | \(0.533022\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −4.00000 | − | 22.0000i | −0.206559 | − | 1.13608i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 14.0000 | + | 14.0000i | 0.721037 | + | 0.721037i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −15.0000 | + | 15.0000i | −0.770498 | + | 0.770498i | −0.978194 | − | 0.207695i | \(-0.933404\pi\) |
0.207695 | + | 0.978194i | \(0.433404\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 14.0000 | + | 14.0000i | 0.717242 | + | 0.717242i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 5.00000 | − | 5.00000i | 0.255488 | − | 0.255488i | −0.567728 | − | 0.823216i | \(-0.692177\pi\) |
0.823216 | + | 0.567728i | \(0.192177\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −12.0000 | − | 6.00000i | −0.611577 | − | 0.305788i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | − | 4.00000i | − | 0.203331i | ||||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −23.0000 | − | 23.0000i | −1.16615 | − | 1.16615i | −0.983105 | − | 0.183041i | \(-0.941406\pi\) |
−0.183041 | − | 0.983105i | \(-0.558594\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 2.00000 | 0.101144 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 14.0000 | − | 14.0000i | 0.706207 | − | 0.706207i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 16.0000 | + | 8.00000i | 0.805047 | + | 0.402524i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −32.0000 | −1.60603 | −0.803017 | − | 0.595956i | \(-0.796773\pi\) | ||||
−0.803017 | + | 0.595956i | \(0.796773\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 36.0000 | 1.80225 | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −2.00000 | −0.0998752 | −0.0499376 | − | 0.998752i | \(-0.515902\pi\) | ||||
−0.0499376 | + | 0.998752i | \(0.515902\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −4.00000 | −0.199254 | ||||||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 22.0000 | + | 11.0000i | 1.09319 | + | 0.546594i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −6.00000 | + | 6.00000i | −0.297409 | + | 0.297409i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −38.0000 | −1.87898 | −0.939490 | − | 0.342578i | \(-0.888700\pi\) | ||||
−0.939490 | + | 0.342578i | \(0.888700\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −18.0000 | − | 18.0000i | −0.887875 | − | 0.887875i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 18.0000i | 0.885722i | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −4.00000 | − | 2.00000i | −0.196352 | − | 0.0981761i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 18.0000 | − | 18.0000i | 0.881464 | − | 0.881464i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −17.0000 | − | 17.0000i | −0.830504 | − | 0.830504i | 0.157081 | − | 0.987586i | \(-0.449792\pi\) |
−0.987586 | + | 0.157081i | \(0.949792\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −5.00000 | + | 5.00000i | −0.243685 | + | 0.243685i | −0.818373 | − | 0.574688i | \(-0.805124\pi\) |
0.574688 | + | 0.818373i | \(0.305124\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 7.00000 | + | 7.00000i | 0.340352 | + | 0.340352i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 7.00000 | + | 1.00000i | 0.339550 | + | 0.0485071i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −6.00000 | −0.290360 | ||||||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 4.00000 | − | 4.00000i | 0.193122 | − | 0.193122i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | − | 2.00000i | − | 0.0963366i | −0.998839 | − | 0.0481683i | \(-0.984662\pi\) | ||
0.998839 | − | 0.0481683i | \(-0.0153384\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 5.00000 | + | 5.00000i | 0.240285 | + | 0.240285i | 0.816968 | − | 0.576683i | \(-0.195653\pi\) |
−0.576683 | + | 0.816968i | \(0.695653\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 42.0000 | − | 14.0000i | 2.01375 | − | 0.671249i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 6.00000i | 0.287019i | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 26.0000i | 1.24091i | 0.784241 | + | 0.620456i | \(0.213053\pi\) | ||||
−0.784241 | + | 0.620456i | \(0.786947\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | − | 11.0000i | − | 0.523810i | ||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 4.00000i | 0.190046i | 0.995475 | + | 0.0950229i | \(0.0302924\pi\) | ||||
−0.995475 | + | 0.0950229i | \(0.969708\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 12.0000 | + | 6.00000i | 0.568855 | + | 0.284427i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 2.00000 | + | 2.00000i | 0.0945968 | + | 0.0945968i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | − | 24.0000i | − | 1.13263i | −0.824189 | − | 0.566315i | \(-0.808369\pi\) | ||
0.824189 | − | 0.566315i | \(-0.191631\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 4.00000 | − | 4.00000i | 0.188353 | − | 0.188353i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −16.0000 | −0.751746 | ||||||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 6.00000 | + | 18.0000i | 0.281284 | + | 0.843853i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 7.00000 | + | 7.00000i | 0.327446 | + | 0.327446i | 0.851615 | − | 0.524168i | \(-0.175624\pi\) |
−0.524168 | + | 0.851615i | \(0.675624\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −4.00000 | + | 4.00000i | −0.186704 | + | 0.186704i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −21.0000 | − | 21.0000i | −0.978068 | − | 0.978068i | 0.0216971 | − | 0.999765i | \(-0.493093\pi\) |
−0.999765 | + | 0.0216971i | \(0.993093\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −19.0000 | + | 19.0000i | −0.883005 | + | 0.883005i | −0.993839 | − | 0.110834i | \(-0.964648\pi\) |
0.110834 | + | 0.993839i | \(0.464648\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −4.00000 | + | 8.00000i | −0.185496 | + | 0.370991i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | − | 28.0000i | − | 1.29569i | −0.761774 | − | 0.647843i | \(-0.775671\pi\) | ||
0.761774 | − | 0.647843i | \(-0.224329\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 12.0000 | + | 12.0000i | 0.554109 | + | 0.554109i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 40.0000 | 1.84310 | ||||||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 4.00000 | − | 4.00000i | 0.183920 | − | 0.183920i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −3.00000 | + | 21.0000i | −0.137649 | + | 0.963546i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −8.00000 | −0.366295 | ||||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 32.0000 | 1.46212 | 0.731059 | − | 0.682315i | \(-0.239027\pi\) | ||||
0.731059 | + | 0.682315i | \(0.239027\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 12.0000 | 0.547153 | ||||||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 12.0000 | 0.546019 | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 33.0000 | − | 11.0000i | 1.49845 | − | 0.499484i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 15.0000 | − | 15.0000i | 0.679715 | − | 0.679715i | −0.280221 | − | 0.959936i | \(-0.590408\pi\) |
0.959936 | + | 0.280221i | \(0.0904077\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −28.0000 | −1.26620 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 9.00000 | + | 9.00000i | 0.406164 | + | 0.406164i | 0.880399 | − | 0.474234i | \(-0.157275\pi\) |
−0.474234 | + | 0.880399i | \(0.657275\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 14.0000i | 0.630528i | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −1.00000 | − | 3.00000i | −0.0449467 | − | 0.134840i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −29.0000 | − | 29.0000i | −1.29822 | − | 1.29822i | −0.929568 | − | 0.368650i | \(-0.879820\pi\) |
−0.368650 | − | 0.929568i | \(-0.620180\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 6.00000 | − | 6.00000i | 0.268060 | − | 0.268060i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 29.0000 | + | 29.0000i | 1.29305 | + | 1.29305i | 0.932893 | + | 0.360153i | \(0.117275\pi\) |
0.360153 | + | 0.932893i | \(0.382725\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 15.0000 | − | 5.00000i | 0.667491 | − | 0.222497i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 18.0000 | 0.799408 | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 17.0000 | − | 17.0000i | 0.753512 | − | 0.753512i | −0.221621 | − | 0.975133i | \(-0.571135\pi\) |
0.975133 | + | 0.221621i | \(0.0711348\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | − | 18.0000i | − | 0.796273i | ||||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −12.0000 | − | 12.0000i | −0.529813 | − | 0.529813i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −5.00000 | − | 15.0000i | −0.220326 | − | 0.660979i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 14.0000i | 0.615719i | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | − | 12.0000i | − | 0.526742i | ||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | − | 16.0000i | − | 0.700973i | −0.936568 | − | 0.350486i | \(-0.886016\pi\) | ||
0.936568 | − | 0.350486i | \(-0.113984\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | − | 20.0000i | − | 0.874539i | −0.899331 | − | 0.437269i | \(-0.855946\pi\) | ||
0.899331 | − | 0.437269i | \(-0.144054\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 42.0000 | + | 6.00000i | 1.83303 | + | 0.261861i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −2.00000 | − | 2.00000i | −0.0871214 | − | 0.0871214i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | − | 21.0000i | − | 0.913043i | ||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −3.00000 | + | 3.00000i | −0.130189 | + | 0.130189i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −8.00000 | −0.346518 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −12.0000 | − | 6.00000i | −0.518805 | − | 0.259403i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −10.0000 | − | 10.0000i | −0.431532 | − | 0.431532i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 11.0000 | − | 11.0000i | 0.473804 | − | 0.473804i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 15.0000 | + | 15.0000i | 0.644900 | + | 0.644900i | 0.951756 | − | 0.306856i | \(-0.0992769\pi\) |
−0.306856 | + | 0.951756i | \(0.599277\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 6.00000 | − | 6.00000i | 0.257485 | − | 0.257485i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −15.0000 | + | 5.00000i | −0.642529 | + | 0.214176i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 28.0000i | 1.19719i | 0.801050 | + | 0.598597i | \(0.204275\pi\) | ||||
−0.801050 | + | 0.598597i | \(0.795725\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −1.00000 | − | 1.00000i | −0.0426790 | − | 0.0426790i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −42.0000 | −1.78926 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −24.0000 | + | 24.0000i | −1.02058 | + | 1.02058i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 12.0000 | − | 24.0000i | 0.509372 | − | 1.01874i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 28.0000 | 1.18640 | 0.593199 | − | 0.805056i | \(-0.297865\pi\) | ||||
0.593199 | + | 0.805056i | \(0.297865\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −8.00000 | −0.338364 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 4.00000 | 0.168880 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 18.0000 | 0.758610 | 0.379305 | − | 0.925272i | \(-0.376163\pi\) | ||||
0.379305 | + | 0.925272i | \(0.376163\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −13.0000 | − | 39.0000i | −0.546914 | − | 1.64074i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −33.0000 | + | 33.0000i | −1.38587 | + | 1.38587i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −6.00000 | −0.251533 | −0.125767 | − | 0.992060i | \(-0.540139\pi\) | ||||
−0.125767 | + | 0.992060i | \(0.540139\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 25.0000 | + | 25.0000i | 1.04622 | + | 1.04622i | 0.998879 | + | 0.0473385i | \(0.0150740\pi\) |
0.0473385 | + | 0.998879i | \(0.484926\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | − | 36.0000i | − | 1.50392i | ||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −1.00000 | + | 7.00000i | −0.0417029 | + | 0.291920i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 9.00000 | − | 9.00000i | 0.374675 | − | 0.374675i | −0.494502 | − | 0.869177i | \(-0.664649\pi\) |
0.869177 | + | 0.494502i | \(0.164649\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −30.0000 | − | 30.0000i | −1.24676 | − | 1.24676i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 6.00000 | − | 6.00000i | 0.248922 | − | 0.248922i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −8.00000 | − | 8.00000i | −0.331326 | − | 0.331326i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −2.00000 | + | 4.00000i | −0.0826898 | + | 0.165380i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −2.00000 | −0.0825488 | −0.0412744 | − | 0.999148i | \(-0.513142\pi\) | ||||
−0.0412744 | + | 0.999148i | \(0.513142\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 6.00000 | − | 6.00000i | 0.247226 | − | 0.247226i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | − | 12.0000i | − | 0.493614i | ||||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 17.0000 | + | 17.0000i | 0.698106 | + | 0.698106i | 0.964002 | − | 0.265896i | \(-0.0856676\pi\) |
−0.265896 | + | 0.964002i | \(0.585668\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −6.00000 | + | 12.0000i | −0.245976 | + | 0.491952i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 20.0000i | 0.818546i | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | − | 30.0000i | − | 1.22577i | −0.790173 | − | 0.612883i | \(-0.790010\pi\) | ||
0.790173 | − | 0.612883i | \(-0.209990\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 16.0000i | 0.652654i | 0.945257 | + | 0.326327i | \(0.105811\pi\) | ||||
−0.945257 | + | 0.326327i | \(0.894189\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 4.00000i | 0.162893i | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −9.00000 | + | 18.0000i | −0.365902 | + | 0.731804i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 23.0000 | + | 23.0000i | 0.933541 | + | 0.933541i | 0.997925 | − | 0.0643840i | \(-0.0205082\pi\) |
−0.0643840 | + | 0.997925i | \(0.520508\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 84.0000i | 3.40385i | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 14.0000 | − | 14.0000i | 0.566379 | − | 0.566379i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 8.00000 | 0.323117 | 0.161558 | − | 0.986863i | \(-0.448348\pi\) | ||||
0.161558 | + | 0.986863i | \(0.448348\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −8.00000 | + | 16.0000i | −0.322591 | + | 0.645182i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −25.0000 | − | 25.0000i | −1.00646 | − | 1.00646i | −0.999979 | − | 0.00648312i | \(-0.997936\pi\) |
−0.00648312 | − | 0.999979i | \(-0.502064\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −7.00000 | + | 7.00000i | −0.281354 | + | 0.281354i | −0.833649 | − | 0.552295i | \(-0.813752\pi\) |
0.552295 | + | 0.833649i | \(0.313752\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −4.00000 | − | 4.00000i | −0.160514 | − | 0.160514i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −18.0000 | + | 18.0000i | −0.721155 | + | 0.721155i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −7.00000 | + | 24.0000i | −0.280000 | + | 0.960000i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 12.0000i | 0.479234i | ||||||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 6.00000 | + | 6.00000i | 0.239236 | + | 0.239236i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −24.0000 | −0.955425 | −0.477712 | − | 0.878516i | \(-0.658534\pi\) | ||||
−0.477712 | + | 0.878516i | \(0.658534\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 38.0000 | − | 38.0000i | 1.51036 | − | 1.51036i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −7.00000 | − | 21.0000i | −0.277787 | − | 0.833360i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −22.0000 | −0.871672 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −30.0000 | −1.18493 | −0.592464 | − | 0.805597i | \(-0.701845\pi\) | ||||
−0.592464 | + | 0.805597i | \(0.701845\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 26.0000 | 1.02534 | 0.512670 | − | 0.858586i | \(-0.328656\pi\) | ||||
0.512670 | + | 0.858586i | \(0.328656\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −8.00000 | + | 16.0000i | −0.315000 | + | 0.629999i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 15.0000 | − | 15.0000i | 0.589711 | − | 0.589711i | −0.347842 | − | 0.937553i | \(-0.613086\pi\) |
0.937553 | + | 0.347842i | \(0.113086\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −6.00000 | −0.235521 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −12.0000 | − | 12.0000i | −0.470317 | − | 0.470317i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | − | 2.00000i | − | 0.0782660i | −0.999234 | − | 0.0391330i | \(-0.987540\pi\) | ||
0.999234 | − | 0.0391330i | \(-0.0124596\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −21.0000 | + | 7.00000i | −0.820538 | + | 0.273513i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 3.00000 | − | 3.00000i | 0.117041 | − | 0.117041i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 11.0000 | + | 11.0000i | 0.428499 | + | 0.428499i | 0.888117 | − | 0.459618i | \(-0.152014\pi\) |
−0.459618 | + | 0.888117i | \(0.652014\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −25.0000 | + | 25.0000i | −0.972387 | + | 0.972387i | −0.999629 | − | 0.0272416i | \(-0.991328\pi\) |
0.0272416 | + | 0.999629i | \(0.491328\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −4.00000 | − | 4.00000i | −0.155347 | − | 0.155347i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −36.0000 | − | 18.0000i | −1.39602 | − | 0.698010i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −14.0000 | −0.542082 | ||||||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 18.0000 | − | 18.0000i | 0.695920 | − | 0.695920i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | − | 2.00000i | − | 0.0772091i | ||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 1.00000 | + | 1.00000i | 0.0385472 | + | 0.0385472i | 0.726118 | − | 0.687570i | \(-0.241323\pi\) |
−0.687570 | + | 0.726118i | \(0.741323\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −12.0000 | − | 16.0000i | −0.461880 | − | 0.615840i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 42.0000i | 1.61419i | 0.590421 | + | 0.807096i | \(0.298962\pi\) | ||||
−0.590421 | + | 0.807096i | \(0.701038\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 66.0000i | 2.53285i | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 24.0000i | 0.919682i | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 4.00000i | 0.153056i | 0.997067 | + | 0.0765279i | \(0.0243834\pi\) | ||||
−0.997067 | + | 0.0765279i | \(0.975617\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 9.00000 | + | 27.0000i | 0.343872 | + | 1.03162i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 2.00000 | + | 2.00000i | 0.0763048 | + | 0.0763048i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 16.0000i | 0.609551i | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −21.0000 | + | 21.0000i | −0.798878 | + | 0.798878i | −0.982919 | − | 0.184041i | \(-0.941082\pi\) |
0.184041 | + | 0.982919i | \(0.441082\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 6.00000 | 0.227921 | ||||||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −27.0000 | + | 9.00000i | −1.02417 | + | 0.341389i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −4.00000 | − | 4.00000i | −0.151511 | − | 0.151511i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −18.0000 | + | 18.0000i | −0.680823 | + | 0.680823i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −13.0000 | − | 13.0000i | −0.491003 | − | 0.491003i | 0.417619 | − | 0.908622i | \(-0.362865\pi\) |
−0.908622 | + | 0.417619i | \(0.862865\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −18.0000 | + | 18.0000i | −0.678883 | + | 0.678883i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −14.0000 | − | 42.0000i | −0.527271 | − | 1.58181i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 30.0000i | 1.12827i | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 1.00000 | + | 1.00000i | 0.0375558 | + | 0.0375558i | 0.725635 | − | 0.688080i | \(-0.241546\pi\) |
−0.688080 | + | 0.725635i | \(0.741546\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −8.00000 | −0.300023 | ||||||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 2.00000 | − | 2.00000i | 0.0749006 | − | 0.0749006i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −6.00000 | + | 2.00000i | −0.224387 | + | 0.0747958i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 32.0000 | 1.19340 | 0.596699 | − | 0.802465i | \(-0.296479\pi\) | ||||
0.596699 | + | 0.802465i | \(0.296479\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 30.0000 | 1.11726 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −28.0000 | −1.04133 | ||||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −49.0000 | − | 7.00000i | −1.81981 | − | 0.259973i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 7.00000 | − | 7.00000i | 0.259616 | − | 0.259616i | −0.565282 | − | 0.824898i | \(-0.691233\pi\) |
0.824898 | + | 0.565282i | \(0.191233\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 13.0000 | 0.481481 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −4.00000 | − | 4.00000i | −0.147945 | − | 0.147945i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | − | 30.0000i | − | 1.10808i | −0.832492 | − | 0.554038i | \(-0.813086\pi\) | ||
0.832492 | − | 0.554038i | \(-0.186914\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −22.0000 | + | 44.0000i | −0.811482 | + | 1.62296i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −4.00000 | + | 4.00000i | −0.147342 | + | 0.147342i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −21.0000 | − | 21.0000i | −0.772497 | − | 0.772497i | 0.206045 | − | 0.978543i | \(-0.433941\pi\) |
−0.978543 | + | 0.206045i | \(0.933941\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 12.0000 | − | 12.0000i | 0.440831 | − | 0.440831i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −31.0000 | − | 31.0000i | −1.13728 | − | 1.13728i | −0.988936 | − | 0.148344i | \(-0.952606\pi\) |
−0.148344 | − | 0.988936i | \(-0.547394\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −1.00000 | − | 3.00000i | −0.0366372 | − | 0.109911i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 2.00000 | 0.0731762 | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 18.0000 | − | 18.0000i | 0.657706 | − | 0.657706i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | − | 50.0000i | − | 1.82453i | −0.409605 | − | 0.912263i | \(-0.634333\pi\) | ||
0.409605 | − | 0.912263i | \(-0.365667\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −22.0000 | − | 22.0000i | −0.801725 | − | 0.801725i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 16.0000 | + | 8.00000i | 0.582300 | + | 0.291150i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | − | 2.00000i | − | 0.0726912i | −0.999339 | − | 0.0363456i | \(-0.988428\pi\) | ||
0.999339 | − | 0.0363456i | \(-0.0115717\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 4.00000i | 0.145191i | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 40.0000i | 1.45000i | 0.688749 | + | 0.724999i | \(0.258160\pi\) | ||||
−0.688749 | + | 0.724999i | \(0.741840\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | − | 30.0000i | − | 1.08607i | ||||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −3.00000 | + | 1.00000i | −0.108465 | + | 0.0361551i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 6.00000 | + | 6.00000i | 0.216647 | + | 0.216647i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | − | 4.00000i | − | 0.144244i | −0.997396 | − | 0.0721218i | \(-0.977023\pi\) | ||
0.997396 | − | 0.0721218i | \(-0.0229770\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 26.0000 | − | 26.0000i | 0.936367 | − | 0.936367i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 48.0000 | 1.72644 | 0.863220 | − | 0.504828i | \(-0.168444\pi\) | ||||
0.863220 | + | 0.504828i | \(0.168444\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 8.00000 | − | 6.00000i | 0.287368 | − | 0.215526i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 36.0000 | + | 36.0000i | 1.29149 | + | 1.29149i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 12.0000 | − | 12.0000i | 0.429945 | − | 0.429945i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 0 | 0 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 28.0000 | − | 28.0000i | 1.00064 | − | 1.00064i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −40.0000 | − | 20.0000i | −1.42766 | − | 0.713831i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | − | 4.00000i | − | 0.142585i | −0.997455 | − | 0.0712923i | \(-0.977288\pi\) | ||
0.997455 | − | 0.0712923i | \(-0.0227123\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −14.0000 | − | 14.0000i | −0.498413 | − | 0.498413i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 78.0000 | 2.77336 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −2.00000 | + | 2.00000i | −0.0710221 | + | 0.0710221i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 32.0000 | + | 16.0000i | 1.13492 | + | 0.567462i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 14.0000 | 0.495284 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −6.00000 | −0.212000 | ||||||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 6.00000 | 0.211735 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −12.0000 | − | 6.00000i | −0.422944 | − | 0.211472i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 2.00000 | − | 2.00000i | 0.0704033 | − | 0.0704033i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −26.0000 | −0.914111 | −0.457056 | − | 0.889438i | \(-0.651096\pi\) | ||||
−0.457056 | + | 0.889438i | \(0.651096\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 9.00000 | + | 9.00000i | 0.316033 | + | 0.316033i | 0.847241 | − | 0.531208i | \(-0.178262\pi\) |
−0.531208 | + | 0.847241i | \(0.678262\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 60.0000i | 2.10429i | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 28.0000 | + | 14.0000i | 0.980797 | + | 0.490399i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 12.0000 | − | 12.0000i | 0.419827 | − | 0.419827i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −6.00000 | − | 6.00000i | −0.209657 | − | 0.209657i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 15.0000 | − | 15.0000i | 0.523504 | − | 0.523504i | −0.395124 | − | 0.918628i | \(-0.629298\pi\) |
0.918628 | + | 0.395124i | \(0.129298\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 21.0000 | + | 21.0000i | 0.732014 | + | 0.732014i | 0.971018 | − | 0.239004i | \(-0.0768211\pi\) |
−0.239004 | + | 0.971018i | \(0.576821\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −2.00000 | + | 14.0000i | −0.0696311 | + | 0.487417i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 54.0000 | 1.87776 | 0.938882 | − | 0.344239i | \(-0.111863\pi\) | ||||
0.938882 | + | 0.344239i | \(0.111863\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −27.0000 | + | 27.0000i | −0.937749 | + | 0.937749i | −0.998173 | − | 0.0604240i | \(-0.980755\pi\) |
0.0604240 | + | 0.998173i | \(0.480755\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | − | 36.0000i | − | 1.24883i | ||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −11.0000 | − | 11.0000i | −0.381127 | − | 0.381127i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −9.00000 | + | 3.00000i | −0.311458 | + | 0.103819i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 8.00000i | 0.276520i | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 18.0000i | 0.621429i | 0.950503 | + | 0.310715i | \(0.100568\pi\) | ||||
−0.950503 | + | 0.310715i | \(0.899432\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | − | 69.0000i | − | 2.37931i | ||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 32.0000i | 1.10214i | ||||||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −18.0000 | − | 9.00000i | −0.619219 | − | 0.309609i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −27.0000 | − | 27.0000i | −0.927731 | − | 0.927731i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | − | 24.0000i | − | 0.823678i | ||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −6.00000 | + | 6.00000i | −0.205677 | + | 0.205677i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 16.0000 | 0.547830 | 0.273915 | − | 0.961754i | \(-0.411681\pi\) | ||||
0.273915 | + | 0.961754i | \(0.411681\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −3.00000 | − | 9.00000i | −0.102598 | − | 0.307794i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 27.0000 | + | 27.0000i | 0.922302 | + | 0.922302i | 0.997192 | − | 0.0748894i | \(-0.0238604\pi\) |
−0.0748894 | + | 0.997192i | \(0.523860\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −19.0000 | + | 19.0000i | −0.648272 | + | 0.648272i | −0.952575 | − | 0.304303i | \(-0.901576\pi\) |
0.304303 | + | 0.952575i | \(0.401576\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −24.0000 | − | 24.0000i | −0.817918 | − | 0.817918i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 5.00000 | − | 5.00000i | 0.170202 | − | 0.170202i | −0.616866 | − | 0.787068i | \(-0.711598\pi\) |
0.787068 | + | 0.616866i | \(0.211598\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −6.00000 | + | 12.0000i | −0.204006 | + | 0.408012i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 30.0000i | 1.01885i | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −8.00000 | − | 8.00000i | −0.271381 | − | 0.271381i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 8.00000 | 0.271070 | ||||||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −11.0000 | + | 11.0000i | −0.372294 | + | 0.372294i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −39.0000 | − | 27.0000i | −1.31844 | − | 0.912767i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 4.00000 | 0.135070 | 0.0675352 | − | 0.997717i | \(-0.478487\pi\) | ||||
0.0675352 | + | 0.997717i | \(0.478487\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −24.0000 | −0.809500 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 46.0000 | 1.54978 | 0.774890 | − | 0.632096i | \(-0.217805\pi\) | ||||
0.774890 | + | 0.632096i | \(0.217805\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −6.00000 | −0.201916 | −0.100958 | − | 0.994891i | \(-0.532191\pi\) | ||||
−0.100958 | + | 0.994891i | \(0.532191\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 18.0000 | − | 6.00000i | 0.605063 | − | 0.201688i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 23.0000 | − | 23.0000i | 0.772264 | − | 0.772264i | −0.206238 | − | 0.978502i | \(-0.566122\pi\) |
0.978502 | + | 0.206238i | \(0.0661220\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 42.0000 | 1.40863 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −11.0000 | − | 11.0000i | −0.368514 | − | 0.368514i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 42.0000i | 1.40548i | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 5.00000 | + | 15.0000i | 0.167132 | + | 0.501395i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 4.00000 | − | 4.00000i | 0.133556 | − | 0.133556i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 14.0000 | + | 14.0000i | 0.466926 | + | 0.466926i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −8.00000 | + | 8.00000i | −0.266519 | + | 0.266519i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −24.0000 | − | 24.0000i | −0.798670 | − | 0.798670i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −9.00000 | + | 3.00000i | −0.299170 | + | 0.0997234i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −50.0000 | −1.66022 | −0.830111 | − | 0.557598i | \(-0.811723\pi\) | ||||
−0.830111 | + | 0.557598i | \(0.811723\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −5.00000 | + | 5.00000i | −0.165840 | + | 0.165840i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 38.0000i | 1.25900i | 0.777002 | + | 0.629498i | \(0.216739\pi\) | ||||
−0.777002 | + | 0.629498i | \(0.783261\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 2.00000 | + | 2.00000i | 0.0661903 | + | 0.0661903i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 2.00000 | + | 6.00000i | 0.0661180 | + | 0.198354i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | − | 42.0000i | − | 1.38696i | ||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | − | 46.0000i | − | 1.51740i | −0.651440 | − | 0.758700i | \(-0.725835\pi\) | ||
0.651440 | − | 0.758700i | \(-0.274165\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | − | 8.00000i | − | 0.263609i | ||||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 0 | 0 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −24.0000 | + | 18.0000i | −0.789115 | + | 0.591836i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 5.00000 | + | 5.00000i | 0.164222 | + | 0.164222i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 16.0000i | 0.524943i | 0.964940 | + | 0.262471i | \(0.0845376\pi\) | ||||
−0.964940 | + | 0.262471i | \(0.915462\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 33.0000 | − | 33.0000i | 1.08153 | − | 1.08153i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −32.0000 | −1.04763 | ||||||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −4.00000 | − | 2.00000i | −0.130814 | − | 0.0654070i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 3.00000 | + | 3.00000i | 0.0980057 | + | 0.0980057i | 0.754410 | − | 0.656404i | \(-0.227923\pi\) |
−0.656404 | + | 0.754410i | \(0.727923\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −26.0000 | + | 26.0000i | −0.848478 | + | 0.848478i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −1.00000 | − | 1.00000i | −0.0325991 | − | 0.0325991i | 0.690619 | − | 0.723218i | \(-0.257338\pi\) |
−0.723218 | + | 0.690619i | \(0.757338\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 4.00000 | − | 4.00000i | 0.130258 | − | 0.130258i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 36.0000 | − | 12.0000i | 1.17108 | − | 0.390360i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 28.0000i | 0.909878i | 0.890523 | + | 0.454939i | \(0.150339\pi\) | ||||
−0.890523 | + | 0.454939i | \(0.849661\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −6.00000 | − | 6.00000i | −0.194768 | − | 0.194768i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 16.0000 | 0.518836 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 31.0000 | − | 31.0000i | 1.00419 | − | 1.00419i | 0.00419731 | − | 0.999991i | \(-0.498664\pi\) |
0.999991 | − | 0.00419731i | \(-0.00133605\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −18.0000 | + | 36.0000i | −0.582466 | + | 1.16493i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −28.0000 | −0.905111 | ||||||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −54.0000 | −1.74375 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 27.0000 | 0.870968 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 6.00000 | 0.193347 | ||||||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 15.0000 | + | 45.0000i | 0.482867 | + | 1.44860i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −33.0000 | + | 33.0000i | −1.06121 | + | 1.06121i | −0.0632081 | + | 0.998000i | \(0.520133\pi\) |
−0.998000 | + | 0.0632081i | \(0.979867\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 12.0000 | 0.385496 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −31.0000 | − | 31.0000i | −0.994837 | − | 0.994837i | 0.00514940 | − | 0.999987i | \(-0.498361\pi\) |
−0.999987 | + | 0.00514940i | \(0.998361\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | − | 54.0000i | − | 1.73116i | ||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 16.0000 | − | 12.0000i | 0.512410 | − | 0.384308i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 17.0000 | − | 17.0000i | 0.543878 | − | 0.543878i | −0.380785 | − | 0.924663i | \(-0.624346\pi\) |
0.924663 | + | 0.380785i | \(0.124346\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −6.00000 | − | 6.00000i | −0.191761 | − | 0.191761i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 5.00000 | − | 5.00000i | 0.159638 | − | 0.159638i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 5.00000 | + | 5.00000i | 0.159475 | + | 0.159475i | 0.782334 | − | 0.622859i | \(-0.214029\pi\) |
−0.622859 | + | 0.782334i | \(0.714029\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −6.00000 | + | 12.0000i | −0.191176 | + | 0.382352i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 84.0000 | 2.67375 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 4.00000 | − | 4.00000i | 0.127193 | − | 0.127193i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | − | 10.0000i | − | 0.317660i | −0.987306 | − | 0.158830i | \(-0.949228\pi\) | ||
0.987306 | − | 0.158830i | \(-0.0507723\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 42.0000 | + | 42.0000i | 1.33283 | + | 1.33283i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 10.0000 | − | 20.0000i | 0.317021 | − | 0.634043i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | − | 22.0000i | − | 0.696747i | −0.937356 | − | 0.348373i | \(-0.886734\pi\) | ||
0.937356 | − | 0.348373i | \(-0.113266\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | − | 24.0000i | − | 0.759326i |
(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 | 320.2.s.a.303.1 | 2 | ||
4.3 | odd | 2 | 80.2.s.a.3.1 | yes | 2 | ||
5.2 | odd | 4 | 320.2.j.a.47.1 | 2 | |||
5.3 | odd | 4 | 1600.2.j.a.1007.1 | 2 | |||
5.4 | even | 2 | 1600.2.s.a.943.1 | 2 | |||
8.3 | odd | 2 | 640.2.s.b.223.1 | 2 | |||
8.5 | even | 2 | 640.2.s.a.223.1 | 2 | |||
12.11 | even | 2 | 720.2.z.d.163.1 | 2 | |||
16.3 | odd | 4 | 640.2.j.b.543.1 | 2 | |||
16.5 | even | 4 | 80.2.j.a.43.1 | ✓ | 2 | ||
16.11 | odd | 4 | 320.2.j.a.143.1 | 2 | |||
16.13 | even | 4 | 640.2.j.a.543.1 | 2 | |||
20.3 | even | 4 | 400.2.j.a.307.1 | 2 | |||
20.7 | even | 4 | 80.2.j.a.67.1 | yes | 2 | ||
20.19 | odd | 2 | 400.2.s.a.243.1 | 2 | |||
40.27 | even | 4 | 640.2.j.a.607.1 | 2 | |||
40.37 | odd | 4 | 640.2.j.b.607.1 | 2 | |||
48.5 | odd | 4 | 720.2.bd.a.523.1 | 2 | |||
60.47 | odd | 4 | 720.2.bd.a.307.1 | 2 | |||
80.27 | even | 4 | inner | 320.2.s.a.207.1 | 2 | ||
80.37 | odd | 4 | 80.2.s.a.27.1 | yes | 2 | ||
80.43 | even | 4 | 1600.2.s.a.207.1 | 2 | |||
80.53 | odd | 4 | 400.2.s.a.107.1 | 2 | |||
80.59 | odd | 4 | 1600.2.j.a.143.1 | 2 | |||
80.67 | even | 4 | 640.2.s.a.287.1 | 2 | |||
80.69 | even | 4 | 400.2.j.a.43.1 | 2 | |||
80.77 | odd | 4 | 640.2.s.b.287.1 | 2 | |||
240.197 | even | 4 | 720.2.z.d.667.1 | 2 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
80.2.j.a.43.1 | ✓ | 2 | 16.5 | even | 4 | ||
80.2.j.a.67.1 | yes | 2 | 20.7 | even | 4 | ||
80.2.s.a.3.1 | yes | 2 | 4.3 | odd | 2 | ||
80.2.s.a.27.1 | yes | 2 | 80.37 | odd | 4 | ||
320.2.j.a.47.1 | 2 | 5.2 | odd | 4 | |||
320.2.j.a.143.1 | 2 | 16.11 | odd | 4 | |||
320.2.s.a.207.1 | 2 | 80.27 | even | 4 | inner | ||
320.2.s.a.303.1 | 2 | 1.1 | even | 1 | trivial | ||
400.2.j.a.43.1 | 2 | 80.69 | even | 4 | |||
400.2.j.a.307.1 | 2 | 20.3 | even | 4 | |||
400.2.s.a.107.1 | 2 | 80.53 | odd | 4 | |||
400.2.s.a.243.1 | 2 | 20.19 | odd | 2 | |||
640.2.j.a.543.1 | 2 | 16.13 | even | 4 | |||
640.2.j.a.607.1 | 2 | 40.27 | even | 4 | |||
640.2.j.b.543.1 | 2 | 16.3 | odd | 4 | |||
640.2.j.b.607.1 | 2 | 40.37 | odd | 4 | |||
640.2.s.a.223.1 | 2 | 8.5 | even | 2 | |||
640.2.s.a.287.1 | 2 | 80.67 | even | 4 | |||
640.2.s.b.223.1 | 2 | 8.3 | odd | 2 | |||
640.2.s.b.287.1 | 2 | 80.77 | odd | 4 | |||
720.2.z.d.163.1 | 2 | 12.11 | even | 2 | |||
720.2.z.d.667.1 | 2 | 240.197 | even | 4 | |||
720.2.bd.a.307.1 | 2 | 60.47 | odd | 4 | |||
720.2.bd.a.523.1 | 2 | 48.5 | odd | 4 | |||
1600.2.j.a.143.1 | 2 | 80.59 | odd | 4 | |||
1600.2.j.a.1007.1 | 2 | 5.3 | odd | 4 | |||
1600.2.s.a.207.1 | 2 | 80.43 | even | 4 | |||
1600.2.s.a.943.1 | 2 | 5.4 | even | 2 |