Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1260,2,Mod(811,1260)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1260, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 0, 0, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1260.811");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1260 = 2^{2} \cdot 3^{2} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1260.c (of order \(2\), degree \(1\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(10.0611506547\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 2 x^{15} + 3 x^{14} - 4 x^{13} + 3 x^{12} + 2 x^{11} - 7 x^{10} + 12 x^{9} - 28 x^{8} + \cdots + 256 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 2^{8} \) |
Twist minimal: | no (minimal twist has level 420) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 811.5 | ||
Root | \(1.07312 - 0.921096i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 1260.811 |
Dual form | 1260.2.c.d.811.6 |
$q$-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 \(\left(\mathbb{Z}/1260\mathbb{Z}\right)^\times\).
\(n\) | \(281\) | \(631\) | \(757\) | \(1081\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.07312 | − | 0.921096i | −0.758809 | − | 0.651313i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.303166 | + | 1.97689i | 0.151583 | + | 0.988445i | ||||
\(5\) | − | 1.00000i | − | 0.447214i | ||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −1.82575 | − | 1.91485i | −0.690067 | − | 0.723745i | ||||
\(8\) | 1.49557 | − | 2.40068i | 0.528764 | − | 0.848769i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −0.921096 | + | 1.07312i | −0.291276 | + | 0.339350i | ||||
\(11\) | − | 6.24043i | − | 1.88156i | −0.339016 | − | 0.940780i | \(-0.610094\pi\) | ||
0.339016 | − | 0.940780i | \(-0.389906\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 2.40312i | 0.666506i | 0.942837 | + | 0.333253i | \(0.108146\pi\) | ||||
−0.942837 | + | 0.333253i | \(0.891854\pi\) | |||||||
\(14\) | 0.195481 | + | 3.73655i | 0.0522446 | + | 0.998634i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −3.81618 | + | 1.19865i | −0.954045 | + | 0.299663i | ||||
\(17\) | − | 1.30768i | − | 0.317159i | −0.987346 | − | 0.158579i | \(-0.949309\pi\) | ||
0.987346 | − | 0.158579i | \(-0.0506913\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −3.94796 | −0.905724 | −0.452862 | − | 0.891581i | \(-0.649597\pi\) | ||||
−0.452862 | + | 0.891581i | \(0.649597\pi\) | |||||||
\(20\) | 1.97689 | − | 0.303166i | 0.442046 | − | 0.0677899i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −5.74803 | + | 6.69672i | −1.22548 | + | 1.42775i | ||||
\(23\) | 3.55648i | 0.741577i | 0.928717 | + | 0.370788i | \(0.120912\pi\) | ||||
−0.928717 | + | 0.370788i | \(0.879088\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −1.00000 | −0.200000 | ||||||||
\(26\) | 2.21350 | − | 2.57883i | 0.434104 | − | 0.505751i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 3.23194 | − | 4.18981i | 0.610780 | − | 0.791801i | ||||
\(29\) | −1.44221 | −0.267812 | −0.133906 | − | 0.990994i | \(-0.542752\pi\) | ||||
−0.133906 | + | 0.990994i | \(0.542752\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 10.9517 | 1.96698 | 0.983488 | − | 0.180974i | \(-0.0579249\pi\) | ||||
0.983488 | + | 0.180974i | \(0.0579249\pi\) | |||||||
\(32\) | 5.19929 | + | 2.22877i | 0.919112 | + | 0.393995i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −1.20450 | + | 1.40329i | −0.206569 | + | 0.240663i | ||||
\(35\) | −1.91485 | + | 1.82575i | −0.323669 | + | 0.308607i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −5.06265 | −0.832295 | −0.416147 | − | 0.909297i | \(-0.636620\pi\) | ||||
−0.416147 | + | 0.909297i | \(0.636620\pi\) | |||||||
\(38\) | 4.23663 | + | 3.63645i | 0.687272 | + | 0.589910i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −2.40068 | − | 1.49557i | −0.379581 | − | 0.236471i | ||||
\(41\) | 1.26175i | 0.197052i | 0.995134 | + | 0.0985260i | \(0.0314128\pi\) | ||||
−0.995134 | + | 0.0985260i | \(0.968587\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | − | 2.19850i | − | 0.335267i | −0.985849 | − | 0.167634i | \(-0.946387\pi\) | ||
0.985849 | − | 0.167634i | \(-0.0536126\pi\) | |||||||
\(44\) | 12.3366 | − | 1.89189i | 1.85982 | − | 0.285212i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 3.27586 | − | 3.81652i | 0.482999 | − | 0.562715i | ||||
\(47\) | −11.6743 | −1.70287 | −0.851434 | − | 0.524462i | \(-0.824267\pi\) | ||||
−0.851434 | + | 0.524462i | \(0.824267\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −0.333303 | + | 6.99206i | −0.0476147 | + | 0.998866i | ||||
\(50\) | 1.07312 | + | 0.921096i | 0.151762 | + | 0.130263i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −4.75070 | + | 0.728544i | −0.658804 | + | 0.101031i | ||||
\(53\) | −11.7545 | −1.61461 | −0.807303 | − | 0.590137i | \(-0.799074\pi\) | ||||
−0.807303 | + | 0.590137i | \(0.799074\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −6.24043 | −0.841460 | ||||||||
\(56\) | −7.32748 | + | 1.51924i | −0.979175 | + | 0.203017i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 1.54766 | + | 1.32842i | 0.203218 | + | 0.174430i | ||||
\(59\) | −0.415368 | −0.0540763 | −0.0270382 | − | 0.999634i | \(-0.508608\pi\) | ||||
−0.0270382 | + | 0.999634i | \(0.508608\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 12.6848i | 1.62412i | 0.583574 | + | 0.812060i | \(0.301654\pi\) | ||||
−0.583574 | + | 0.812060i | \(0.698346\pi\) | |||||||
\(62\) | −11.7524 | − | 10.0875i | −1.49256 | − | 1.28112i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −3.52653 | − | 7.18078i | −0.440817 | − | 0.897597i | ||||
\(65\) | 2.40312 | 0.298070 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | − | 3.10097i | − | 0.378844i | −0.981896 | − | 0.189422i | \(-0.939339\pi\) | ||
0.981896 | − | 0.189422i | \(-0.0606614\pi\) | |||||||
\(68\) | 2.58513 | − | 0.396443i | 0.313494 | − | 0.0480758i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 3.73655 | − | 0.195481i | 0.446603 | − | 0.0233645i | ||||
\(71\) | − | 10.4762i | − | 1.24330i | −0.783296 | − | 0.621649i | \(-0.786463\pi\) | ||
0.783296 | − | 0.621649i | \(-0.213537\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 1.64141i | 0.192112i | 0.995376 | + | 0.0960562i | \(0.0306229\pi\) | ||||
−0.995376 | + | 0.0960562i | \(0.969377\pi\) | |||||||
\(74\) | 5.43282 | + | 4.66319i | 0.631553 | + | 0.542084i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −1.19689 | − | 7.80468i | −0.137292 | − | 0.895258i | ||||
\(77\) | −11.9495 | + | 11.3934i | −1.36177 | + | 1.29840i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | − | 9.18952i | − | 1.03390i | −0.856015 | − | 0.516951i | \(-0.827067\pi\) | ||
0.856015 | − | 0.516951i | \(-0.172933\pi\) | |||||||
\(80\) | 1.19865 | + | 3.81618i | 0.134013 | + | 0.426662i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 1.16219 | − | 1.35401i | 0.128343 | − | 0.149525i | ||||
\(83\) | −7.39922 | −0.812170 | −0.406085 | − | 0.913835i | \(-0.633106\pi\) | ||||
−0.406085 | + | 0.913835i | \(0.633106\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −1.30768 | −0.141838 | ||||||||
\(86\) | −2.02502 | + | 2.35925i | −0.218364 | + | 0.254404i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −14.9813 | − | 9.33301i | −1.59701 | − | 0.994902i | ||||
\(89\) | 11.4448i | 1.21314i | 0.795028 | + | 0.606572i | \(0.207456\pi\) | ||||
−0.795028 | + | 0.606572i | \(0.792544\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 4.60162 | − | 4.38749i | 0.482380 | − | 0.459934i | ||||
\(92\) | −7.03076 | + | 1.07820i | −0.733008 | + | 0.112410i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 12.5279 | + | 10.7531i | 1.29215 | + | 1.10910i | ||||
\(95\) | 3.94796i | 0.405052i | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | − | 12.4433i | − | 1.26343i | −0.775202 | − | 0.631714i | \(-0.782352\pi\) | ||
0.775202 | − | 0.631714i | \(-0.217648\pi\) | |||||||
\(98\) | 6.79803 | − | 7.19630i | 0.686705 | − | 0.726936i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −0.303166 | − | 1.97689i | −0.0303166 | − | 0.197689i | ||||
\(101\) | − | 4.25585i | − | 0.423473i | −0.977327 | − | 0.211737i | \(-0.932088\pi\) | ||
0.977327 | − | 0.211737i | \(-0.0679119\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −15.3254 | −1.51006 | −0.755029 | − | 0.655691i | \(-0.772377\pi\) | ||||
−0.755029 | + | 0.655691i | \(0.772377\pi\) | |||||||
\(104\) | 5.76913 | + | 3.59404i | 0.565709 | + | 0.352424i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 12.6140 | + | 10.8270i | 1.22518 | + | 1.05161i | ||||
\(107\) | 4.83844i | 0.467750i | 0.972267 | + | 0.233875i | \(0.0751406\pi\) | ||||
−0.972267 | + | 0.233875i | \(0.924859\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 8.77146 | 0.840153 | 0.420077 | − | 0.907489i | \(-0.362003\pi\) | ||||
0.420077 | + | 0.907489i | \(0.362003\pi\) | |||||||
\(110\) | 6.69672 | + | 5.74803i | 0.638507 | + | 0.548054i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 9.26261 | + | 5.11898i | 0.875235 | + | 0.483699i | ||||
\(113\) | −4.09511 | −0.385236 | −0.192618 | − | 0.981274i | \(-0.561698\pi\) | ||||
−0.192618 | + | 0.981274i | \(0.561698\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 3.55648 | 0.331643 | ||||||||
\(116\) | −0.437230 | − | 2.85109i | −0.0405957 | − | 0.264717i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 0.445739 | + | 0.382594i | 0.0410336 | + | 0.0352206i | ||||
\(119\) | −2.50401 | + | 2.38749i | −0.229542 | + | 0.218861i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −27.9430 | −2.54027 | ||||||||
\(122\) | 11.6839 | − | 13.6123i | 1.05781 | − | 1.23240i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 3.32017 | + | 21.6502i | 0.298160 | + | 1.94425i | ||||
\(125\) | 1.00000i | 0.0894427i | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 6.68595i | 0.593282i | 0.954989 | + | 0.296641i | \(0.0958664\pi\) | ||||
−0.954989 | + | 0.296641i | \(0.904134\pi\) | |||||||
\(128\) | −2.82979 | + | 10.9541i | −0.250121 | + | 0.968215i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −2.57883 | − | 2.21350i | −0.226179 | − | 0.194137i | ||||
\(131\) | −13.3308 | −1.16472 | −0.582360 | − | 0.812931i | \(-0.697871\pi\) | ||||
−0.582360 | + | 0.812931i | \(0.697871\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 7.20797 | + | 7.55975i | 0.625010 | + | 0.655513i | ||||
\(134\) | −2.85629 | + | 3.32771i | −0.246746 | + | 0.287470i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −3.13932 | − | 1.95573i | −0.269194 | − | 0.167702i | ||||
\(137\) | −5.59837 | −0.478301 | −0.239151 | − | 0.970982i | \(-0.576869\pi\) | ||||
−0.239151 | + | 0.970982i | \(0.576869\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −6.13537 | −0.520395 | −0.260198 | − | 0.965555i | \(-0.583788\pi\) | ||||
−0.260198 | + | 0.965555i | \(0.583788\pi\) | |||||||
\(140\) | −4.18981 | − | 3.23194i | −0.354104 | − | 0.273149i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −9.64959 | + | 11.2422i | −0.809776 | + | 0.943425i | ||||
\(143\) | 14.9965 | 1.25407 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 1.44221i | 0.119769i | ||||||||
\(146\) | 1.51189 | − | 1.76143i | 0.125125 | − | 0.145777i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −1.53482 | − | 10.0083i | −0.126162 | − | 0.822677i | ||||
\(149\) | 12.3505 | 1.01179 | 0.505895 | − | 0.862595i | \(-0.331162\pi\) | ||||
0.505895 | + | 0.862595i | \(0.331162\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 15.9654i | 1.29924i | 0.760258 | + | 0.649621i | \(0.225072\pi\) | ||||
−0.760258 | + | 0.649621i | \(0.774928\pi\) | |||||||
\(152\) | −5.90445 | + | 9.47779i | −0.478914 | + | 0.768750i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 23.3177 | − | 1.21989i | 1.87899 | − | 0.0983014i | ||||
\(155\) | − | 10.9517i | − | 0.879658i | ||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 5.15966i | 0.411786i | 0.978575 | + | 0.205893i | \(0.0660098\pi\) | ||||
−0.978575 | + | 0.205893i | \(0.933990\pi\) | |||||||
\(158\) | −8.46443 | + | 9.86144i | −0.673394 | + | 0.784534i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 2.22877 | − | 5.19929i | 0.176200 | − | 0.411040i | ||||
\(161\) | 6.81012 | − | 6.49322i | 0.536713 | − | 0.511738i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 1.27295i | 0.0997052i | 0.998757 | + | 0.0498526i | \(0.0158751\pi\) | ||||
−0.998757 | + | 0.0498526i | \(0.984125\pi\) | |||||||
\(164\) | −2.49434 | + | 0.382519i | −0.194775 | + | 0.0298697i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 7.94023 | + | 6.81539i | 0.616282 | + | 0.528977i | ||||
\(167\) | 21.6628 | 1.67632 | 0.838158 | − | 0.545428i | \(-0.183633\pi\) | ||||
0.838158 | + | 0.545428i | \(0.183633\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 7.22501 | 0.555770 | ||||||||
\(170\) | 1.40329 | + | 1.20450i | 0.107628 | + | 0.0923807i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 4.34618 | − | 0.666509i | 0.331393 | − | 0.0508208i | ||||
\(173\) | 12.9769i | 0.986617i | 0.869855 | + | 0.493308i | \(0.164213\pi\) | ||||
−0.869855 | + | 0.493308i | \(0.835787\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 1.82575 | + | 1.91485i | 0.138013 | + | 0.144749i | ||||
\(176\) | 7.48010 | + | 23.8146i | 0.563833 | + | 1.79509i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 10.5417 | − | 12.2816i | 0.790137 | − | 0.920545i | ||||
\(179\) | − | 15.1508i | − | 1.13242i | −0.824261 | − | 0.566210i | \(-0.808409\pi\) | ||
0.824261 | − | 0.566210i | \(-0.191591\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | − | 2.92356i | − | 0.217307i | −0.994080 | − | 0.108653i | \(-0.965346\pi\) | ||
0.994080 | − | 0.108653i | \(-0.0346538\pi\) | |||||||
\(182\) | −8.97937 | + | 0.469765i | −0.665596 | + | 0.0348213i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 8.53797 | + | 5.31896i | 0.629427 | + | 0.392119i | ||||
\(185\) | 5.06265i | 0.372214i | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −8.16048 | −0.596753 | ||||||||
\(188\) | −3.53924 | − | 23.0788i | −0.258126 | − | 1.68319i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 3.63645 | − | 4.23663i | 0.263816 | − | 0.307357i | ||||
\(191\) | − | 13.9477i | − | 1.00922i | −0.863348 | − | 0.504608i | \(-0.831637\pi\) | ||
0.863348 | − | 0.504608i | \(-0.168363\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −13.3869 | −0.963607 | −0.481803 | − | 0.876279i | \(-0.660018\pi\) | ||||
−0.481803 | + | 0.876279i | \(0.660018\pi\) | |||||||
\(194\) | −11.4615 | + | 13.3532i | −0.822887 | + | 0.958701i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −13.9236 | + | 1.46085i | −0.994541 | + | 0.104346i | ||||
\(197\) | −4.07989 | −0.290680 | −0.145340 | − | 0.989382i | \(-0.546428\pi\) | ||||
−0.145340 | + | 0.989382i | \(0.546428\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 3.66884 | 0.260077 | 0.130039 | − | 0.991509i | \(-0.458490\pi\) | ||||
0.130039 | + | 0.991509i | \(0.458490\pi\) | |||||||
\(200\) | −1.49557 | + | 2.40068i | −0.105753 | + | 0.169754i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −3.92005 | + | 4.56703i | −0.275814 | + | 0.321335i | ||||
\(203\) | 2.63311 | + | 2.76162i | 0.184808 | + | 0.193828i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 1.26175 | 0.0881244 | ||||||||
\(206\) | 16.4460 | + | 14.1162i | 1.14585 | + | 0.983521i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −2.88050 | − | 9.17074i | −0.199727 | − | 0.635877i | ||||
\(209\) | 24.6370i | 1.70417i | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | − | 5.67817i | − | 0.390901i | −0.980714 | − | 0.195451i | \(-0.937383\pi\) | ||
0.980714 | − | 0.195451i | \(-0.0626170\pi\) | |||||||
\(212\) | −3.56357 | − | 23.2374i | −0.244747 | − | 1.59595i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 4.45667 | − | 5.19222i | 0.304651 | − | 0.354933i | ||||
\(215\) | −2.19850 | −0.149936 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −19.9949 | − | 20.9708i | −1.35735 | − | 1.42359i | ||||
\(218\) | −9.41281 | − | 8.07935i | −0.637516 | − | 0.547203i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −1.89189 | − | 12.3366i | −0.127551 | − | 0.831736i | ||||
\(221\) | 3.14251 | 0.211388 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 3.97664 | 0.266296 | 0.133148 | − | 0.991096i | \(-0.457491\pi\) | ||||
0.133148 | + | 0.991096i | \(0.457491\pi\) | |||||||
\(224\) | −5.22481 | − | 14.0250i | −0.349097 | − | 0.937087i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 4.39454 | + | 3.77199i | 0.292321 | + | 0.250909i | ||||
\(227\) | 2.54691 | 0.169045 | 0.0845223 | − | 0.996422i | \(-0.473064\pi\) | ||||
0.0845223 | + | 0.996422i | \(0.473064\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | − | 10.6638i | − | 0.704681i | −0.935872 | − | 0.352341i | \(-0.885386\pi\) | ||
0.935872 | − | 0.352341i | \(-0.114614\pi\) | |||||||
\(230\) | −3.81652 | − | 3.27586i | −0.251654 | − | 0.216004i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −2.15693 | + | 3.46229i | −0.141609 | + | 0.227311i | ||||
\(233\) | 20.4421 | 1.33921 | 0.669605 | − | 0.742718i | \(-0.266464\pi\) | ||||
0.669605 | + | 0.742718i | \(0.266464\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 11.6743i | 0.761546i | ||||||||
\(236\) | −0.125925 | − | 0.821137i | −0.00819705 | − | 0.0534515i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 4.88620 | − | 0.255627i | 0.316725 | − | 0.0165698i | ||||
\(239\) | 4.38800i | 0.283836i | 0.989878 | + | 0.141918i | \(0.0453270\pi\) | ||||
−0.989878 | + | 0.141918i | \(0.954673\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | − | 22.5909i | − | 1.45521i | −0.685996 | − | 0.727605i | \(-0.740633\pi\) | ||
0.685996 | − | 0.727605i | \(-0.259367\pi\) | |||||||
\(242\) | 29.9861 | + | 25.7382i | 1.92758 | + | 1.65451i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −25.0764 | + | 3.84559i | −1.60535 | + | 0.246189i | ||||
\(245\) | 6.99206 | + | 0.333303i | 0.446706 | + | 0.0212940i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | − | 9.48742i | − | 0.603670i | ||||||
\(248\) | 16.3790 | − | 26.2914i | 1.04007 | − | 1.66951i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 0.921096 | − | 1.07312i | 0.0582552 | − | 0.0678700i | ||||
\(251\) | −12.0822 | −0.762624 | −0.381312 | − | 0.924446i | \(-0.624528\pi\) | ||||
−0.381312 | + | 0.924446i | \(0.624528\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 22.1940 | 1.39532 | ||||||||
\(254\) | 6.15840 | − | 7.17481i | 0.386412 | − | 0.450188i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 13.1265 | − | 9.14853i | 0.820405 | − | 0.571783i | ||||
\(257\) | − | 14.1869i | − | 0.884957i | −0.896779 | − | 0.442478i | \(-0.854099\pi\) | ||
0.896779 | − | 0.442478i | \(-0.145901\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 9.24311 | + | 9.69422i | 0.574339 | + | 0.602369i | ||||
\(260\) | 0.728544 | + | 4.75070i | 0.0451824 | + | 0.294626i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 14.3056 | + | 12.2790i | 0.883801 | + | 0.758598i | ||||
\(263\) | − | 13.5093i | − | 0.833021i | −0.909131 | − | 0.416511i | \(-0.863253\pi\) | ||
0.909131 | − | 0.416511i | \(-0.136747\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 11.7545i | 0.722074i | ||||||||
\(266\) | −0.771752 | − | 14.7517i | −0.0473192 | − | 0.904487i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 6.13027 | − | 0.940108i | 0.374466 | − | 0.0574262i | ||||
\(269\) | − | 9.57770i | − | 0.583963i | −0.956424 | − | 0.291981i | \(-0.905685\pi\) | ||
0.956424 | − | 0.291981i | \(-0.0943145\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 7.20379 | 0.437599 | 0.218800 | − | 0.975770i | \(-0.429786\pi\) | ||||
0.218800 | + | 0.975770i | \(0.429786\pi\) | |||||||
\(272\) | 1.56745 | + | 4.99034i | 0.0950406 | + | 0.302584i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 6.00771 | + | 5.15663i | 0.362939 | + | 0.311524i | ||||
\(275\) | 6.24043i | 0.376312i | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 22.2563 | 1.33725 | 0.668627 | − | 0.743598i | \(-0.266882\pi\) | ||||
0.668627 | + | 0.743598i | \(0.266882\pi\) | |||||||
\(278\) | 6.58398 | + | 5.65126i | 0.394881 | + | 0.338940i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 1.51924 | + | 7.32748i | 0.0907919 | + | 0.437900i | ||||
\(281\) | −27.2215 | −1.62390 | −0.811950 | − | 0.583727i | \(-0.801594\pi\) | ||||
−0.811950 | + | 0.583727i | \(0.801594\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −18.6312 | −1.10751 | −0.553754 | − | 0.832680i | \(-0.686805\pi\) | ||||
−0.553754 | + | 0.832680i | \(0.686805\pi\) | |||||||
\(284\) | 20.7103 | − | 3.17603i | 1.22893 | − | 0.188463i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −16.0930 | − | 13.8132i | −0.951601 | − | 0.816793i | ||||
\(287\) | 2.41606 | − | 2.30363i | 0.142616 | − | 0.135979i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 15.2900 | 0.899410 | ||||||||
\(290\) | 1.32842 | − | 1.54766i | 0.0780073 | − | 0.0908820i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −3.24488 | + | 0.497619i | −0.189892 | + | 0.0291210i | ||||
\(293\) | − | 15.4578i | − | 0.903057i | −0.892257 | − | 0.451528i | \(-0.850879\pi\) | ||
0.892257 | − | 0.451528i | \(-0.149121\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 0.415368i | 0.0241837i | ||||||||
\(296\) | −7.57155 | + | 12.1538i | −0.440088 | + | 0.706426i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −13.2535 | − | 11.3760i | −0.767756 | − | 0.658992i | ||||
\(299\) | −8.54664 | −0.494265 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −4.20979 | + | 4.01389i | −0.242648 | + | 0.231357i | ||||
\(302\) | 14.7056 | − | 17.1327i | 0.846213 | − | 0.985877i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 15.0661 | − | 4.73222i | 0.864101 | − | 0.271412i | ||||
\(305\) | 12.6848 | 0.726329 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −30.4225 | −1.73630 | −0.868151 | − | 0.496299i | \(-0.834692\pi\) | ||||
−0.868151 | + | 0.496299i | \(0.834692\pi\) | |||||||
\(308\) | −26.1463 | − | 20.1687i | −1.48982 | − | 1.14922i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −10.0875 | + | 11.7524i | −0.572933 | + | 0.667493i | ||||
\(311\) | 6.24557 | 0.354154 | 0.177077 | − | 0.984197i | \(-0.443336\pi\) | ||||
0.177077 | + | 0.984197i | \(0.443336\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | − | 14.5063i | − | 0.819945i | −0.912098 | − | 0.409973i | \(-0.865538\pi\) | ||
0.912098 | − | 0.409973i | \(-0.134462\pi\) | |||||||
\(314\) | 4.75254 | − | 5.53692i | 0.268201 | − | 0.312467i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 18.1667 | − | 2.78595i | 1.02195 | − | 0.156722i | ||||
\(317\) | −2.29755 | −0.129043 | −0.0645215 | − | 0.997916i | \(-0.520552\pi\) | ||||
−0.0645215 | + | 0.997916i | \(0.520552\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 9.00003i | 0.503905i | ||||||||
\(320\) | −7.18078 | + | 3.52653i | −0.401418 | + | 0.197139i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −13.2889 | + | 0.695225i | −0.740564 | + | 0.0387434i | ||||
\(323\) | 5.16266i | 0.287258i | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | − | 2.40312i | − | 0.133301i | ||||||
\(326\) | 1.17251 | − | 1.36603i | 0.0649393 | − | 0.0756572i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 3.02906 | + | 1.88704i | 0.167252 | + | 0.104194i | ||||
\(329\) | 21.3143 | + | 22.3545i | 1.17509 | + | 1.23244i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | − | 23.4483i | − | 1.28884i | −0.764673 | − | 0.644419i | \(-0.777099\pi\) | ||
0.764673 | − | 0.644419i | \(-0.222901\pi\) | |||||||
\(332\) | −2.24319 | − | 14.6274i | −0.123111 | − | 0.802785i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −23.2467 | − | 19.9535i | −1.27200 | − | 1.09181i | ||||
\(335\) | −3.10097 | −0.169424 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 14.6709 | 0.799174 | 0.399587 | − | 0.916695i | \(-0.369153\pi\) | ||||
0.399587 | + | 0.916695i | \(0.369153\pi\) | |||||||
\(338\) | −7.75329 | − | 6.65493i | −0.421723 | − | 0.361980i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −0.396443 | − | 2.58513i | −0.0215002 | − | 0.140199i | ||||
\(341\) | − | 68.3431i | − | 3.70099i | ||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 13.9973 | − | 12.1275i | 0.755782 | − | 0.654823i | ||||
\(344\) | −5.27789 | − | 3.28801i | −0.284565 | − | 0.177277i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 11.9530 | − | 13.9258i | 0.642596 | − | 0.748654i | ||||
\(347\) | − | 21.6099i | − | 1.16008i | −0.814587 | − | 0.580041i | \(-0.803036\pi\) | ||
0.814587 | − | 0.580041i | \(-0.196964\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | − | 0.885917i | − | 0.0474220i | −0.999719 | − | 0.0237110i | \(-0.992452\pi\) | ||
0.999719 | − | 0.0237110i | \(-0.00754816\pi\) | |||||||
\(350\) | −0.195481 | − | 3.73655i | −0.0104489 | − | 0.199727i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 13.9085 | − | 32.4458i | 0.741326 | − | 1.72937i | ||||
\(353\) | − | 14.2476i | − | 0.758325i | −0.925330 | − | 0.379163i | \(-0.876212\pi\) | ||
0.925330 | − | 0.379163i | \(-0.123788\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −10.4762 | −0.556019 | ||||||||
\(356\) | −22.6251 | + | 3.46967i | −1.19913 | + | 0.183892i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −13.9553 | + | 16.2586i | −0.737560 | + | 0.859291i | ||||
\(359\) | 23.9005i | 1.26142i | 0.776018 | + | 0.630710i | \(0.217236\pi\) | ||||
−0.776018 | + | 0.630710i | \(0.782764\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −3.41362 | −0.179664 | ||||||||
\(362\) | −2.69288 | + | 3.13733i | −0.141535 | + | 0.164894i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 10.0686 | + | 7.76675i | 0.527740 | + | 0.407088i | ||||
\(365\) | 1.64141 | 0.0859153 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 32.8358 | 1.71401 | 0.857007 | − | 0.515304i | \(-0.172321\pi\) | ||||
0.857007 | + | 0.515304i | \(0.172321\pi\) | |||||||
\(368\) | −4.26297 | − | 13.5722i | −0.222223 | − | 0.707498i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 4.66319 | − | 5.43282i | 0.242427 | − | 0.282439i | ||||
\(371\) | 21.4608 | + | 22.5081i | 1.11419 | + | 1.16856i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 11.9520 | 0.618852 | 0.309426 | − | 0.950923i | \(-0.399863\pi\) | ||||
0.309426 | + | 0.950923i | \(0.399863\pi\) | |||||||
\(374\) | 8.75716 | + | 7.51658i | 0.452822 | + | 0.388673i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −17.4597 | + | 28.0262i | −0.900416 | + | 1.44534i | ||||
\(377\) | − | 3.46581i | − | 0.178498i | ||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | − | 21.9351i | − | 1.12673i | −0.826208 | − | 0.563366i | \(-0.809506\pi\) | ||
0.826208 | − | 0.563366i | \(-0.190494\pi\) | |||||||
\(380\) | −7.80468 | + | 1.19689i | −0.400371 | + | 0.0613990i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −12.8471 | + | 14.9675i | −0.657316 | + | 0.765803i | ||||
\(383\) | −28.3845 | −1.45038 | −0.725190 | − | 0.688549i | \(-0.758248\pi\) | ||||
−0.725190 | + | 0.688549i | \(0.758248\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 11.3934 | + | 11.9495i | 0.580664 | + | 0.609003i | ||||
\(386\) | 14.3657 | + | 12.3306i | 0.731194 | + | 0.627610i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 24.5991 | − | 3.77239i | 1.24883 | − | 0.191514i | ||||
\(389\) | −22.0568 | −1.11832 | −0.559162 | − | 0.829058i | \(-0.688877\pi\) | ||||
−0.559162 | + | 0.829058i | \(0.688877\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 4.65073 | 0.235197 | ||||||||
\(392\) | 16.2872 | + | 11.2573i | 0.822629 | + | 0.568578i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 4.37821 | + | 3.75797i | 0.220571 | + | 0.189324i | ||||
\(395\) | −9.18952 | −0.462375 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | − | 37.0058i | − | 1.85727i | −0.370997 | − | 0.928634i | \(-0.620984\pi\) | ||
0.370997 | − | 0.928634i | \(-0.379016\pi\) | |||||||
\(398\) | −3.93710 | − | 3.37935i | −0.197349 | − | 0.169392i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 3.81618 | − | 1.19865i | 0.190809 | − | 0.0599325i | ||||
\(401\) | 1.70729 | 0.0852580 | 0.0426290 | − | 0.999091i | \(-0.486427\pi\) | ||||
0.0426290 | + | 0.999091i | \(0.486427\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 26.3182i | 1.31100i | ||||||||
\(404\) | 8.41335 | − | 1.29023i | 0.418580 | − | 0.0641913i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −0.281926 | − | 5.38890i | −0.0139917 | − | 0.267446i | ||||
\(407\) | 31.5931i | 1.56601i | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 26.3062i | 1.30076i | 0.759609 | + | 0.650379i | \(0.225390\pi\) | ||||
−0.759609 | + | 0.650379i | \(0.774610\pi\) | |||||||
\(410\) | −1.35401 | − | 1.16219i | −0.0668696 | − | 0.0573965i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −4.64614 | − | 30.2967i | −0.228899 | − | 1.49261i | ||||
\(413\) | 0.758357 | + | 0.795368i | 0.0373163 | + | 0.0391375i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 7.39922i | 0.363213i | ||||||||
\(416\) | −5.35601 | + | 12.4945i | −0.262600 | + | 0.612594i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 22.6930 | − | 26.4384i | 1.10995 | − | 1.29314i | ||||
\(419\) | −5.33293 | −0.260531 | −0.130265 | − | 0.991479i | \(-0.541583\pi\) | ||||
−0.130265 | + | 0.991479i | \(0.541583\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −14.7096 | −0.716903 | −0.358451 | − | 0.933548i | \(-0.616695\pi\) | ||||
−0.358451 | + | 0.933548i | \(0.616695\pi\) | |||||||
\(422\) | −5.23014 | + | 6.09335i | −0.254599 | + | 0.296620i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −17.5797 | + | 28.2188i | −0.853746 | + | 1.37043i | ||||
\(425\) | 1.30768i | 0.0634317i | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 24.2895 | − | 23.1592i | 1.17545 | − | 1.12075i | ||||
\(428\) | −9.56506 | + | 1.46685i | −0.462345 | + | 0.0709029i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 2.35925 | + | 2.02502i | 0.113773 | + | 0.0976554i | ||||
\(431\) | 20.0200i | 0.964331i | 0.876080 | + | 0.482166i | \(0.160150\pi\) | ||||
−0.876080 | + | 0.482166i | \(0.839850\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 8.87770i | 0.426635i | 0.976983 | + | 0.213317i | \(0.0684268\pi\) | ||||
−0.976983 | + | 0.213317i | \(0.931573\pi\) | |||||||
\(434\) | 2.14084 | + | 40.9214i | 0.102764 | + | 1.96429i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 2.65921 | + | 17.3402i | 0.127353 | + | 0.830445i | ||||
\(437\) | − | 14.0408i | − | 0.671664i | ||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 25.3037 | 1.20768 | 0.603841 | − | 0.797105i | \(-0.293636\pi\) | ||||
0.603841 | + | 0.797105i | \(0.293636\pi\) | |||||||
\(440\) | −9.33301 | + | 14.9813i | −0.444934 | + | 0.714205i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −3.37228 | − | 2.89455i | −0.160403 | − | 0.137680i | ||||
\(443\) | 27.9709i | 1.32894i | 0.747317 | + | 0.664468i | \(0.231342\pi\) | ||||
−0.747317 | + | 0.664468i | \(0.768658\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 11.4448 | 0.542535 | ||||||||
\(446\) | −4.26741 | − | 3.66287i | −0.202068 | − | 0.173442i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −7.31156 | + | 19.8631i | −0.345439 | + | 0.938441i | ||||
\(449\) | 36.0790 | 1.70267 | 0.851337 | − | 0.524619i | \(-0.175792\pi\) | ||||
0.851337 | + | 0.524619i | \(0.175792\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 7.87386 | 0.370765 | ||||||||
\(452\) | −1.24150 | − | 8.09559i | −0.0583952 | − | 0.380784i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −2.73314 | − | 2.34595i | −0.128273 | − | 0.110101i | ||||
\(455\) | −4.38749 | − | 4.60162i | −0.205689 | − | 0.215727i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −4.26370 | −0.199448 | −0.0997238 | − | 0.995015i | \(-0.531796\pi\) | ||||
−0.0997238 | + | 0.995015i | \(0.531796\pi\) | |||||||
\(458\) | −9.82235 | + | 11.4435i | −0.458968 | + | 0.534719i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 1.07820 | + | 7.03076i | 0.0502714 | + | 0.327811i | ||||
\(461\) | 18.7953i | 0.875386i | 0.899124 | + | 0.437693i | \(0.144204\pi\) | ||||
−0.899124 | + | 0.437693i | \(0.855796\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 38.2151i | 1.77601i | 0.459836 | + | 0.888004i | \(0.347908\pi\) | ||||
−0.459836 | + | 0.888004i | \(0.652092\pi\) | |||||||
\(464\) | 5.50374 | − | 1.72871i | 0.255505 | − | 0.0802533i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −21.9368 | − | 18.8292i | −1.01620 | − | 0.872244i | ||||
\(467\) | 15.7945 | 0.730882 | 0.365441 | − | 0.930834i | \(-0.380918\pi\) | ||||
0.365441 | + | 0.930834i | \(0.380918\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −5.93789 | + | 5.66158i | −0.274186 | + | 0.261428i | ||||
\(470\) | 10.7531 | − | 12.5279i | 0.496005 | − | 0.577868i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −0.621213 | + | 0.997166i | −0.0285936 | + | 0.0458983i | ||||
\(473\) | −13.7196 | −0.630826 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 3.94796 | 0.181145 | ||||||||
\(476\) | −5.47893 | − | 4.22634i | −0.251126 | − | 0.193714i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 4.04177 | − | 4.70885i | 0.184866 | − | 0.215378i | ||||
\(479\) | 33.1809 | 1.51608 | 0.758038 | − | 0.652210i | \(-0.226158\pi\) | ||||
0.758038 | + | 0.652210i | \(0.226158\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | − | 12.1662i | − | 0.554729i | ||||||
\(482\) | −20.8084 | + | 24.2428i | −0.947798 | + | 1.10423i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −8.47136 | − | 55.2402i | −0.385062 | − | 2.51092i | ||||
\(485\) | −12.4433 | −0.565022 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | − | 18.8854i | − | 0.855781i | −0.903831 | − | 0.427891i | \(-0.859257\pi\) | ||
0.903831 | − | 0.427891i | \(-0.140743\pi\) | |||||||
\(488\) | 30.4521 | + | 18.9710i | 1.37850 | + | 0.858777i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −7.19630 | − | 6.79803i | −0.325096 | − | 0.307104i | ||||
\(491\) | − | 1.14336i | − | 0.0515989i | −0.999667 | − | 0.0257995i | \(-0.991787\pi\) | ||
0.999667 | − | 0.0257995i | \(-0.00821314\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 1.88595i | 0.0849389i | ||||||||
\(494\) | −8.73882 | + | 10.1811i | −0.393178 | + | 0.458070i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −41.7935 | + | 13.1272i | −1.87658 | + | 0.589429i | ||||
\(497\) | −20.0604 | + | 19.1269i | −0.899831 | + | 0.857959i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | − | 18.8734i | − | 0.844890i | −0.906389 | − | 0.422445i | \(-0.861172\pi\) | ||
0.906389 | − | 0.422445i | \(-0.138828\pi\) | |||||||
\(500\) | −1.97689 | + | 0.303166i | −0.0884092 | + | 0.0135580i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 12.9657 | + | 11.1289i | 0.578686 | + | 0.496707i | ||||
\(503\) | −18.8624 | −0.841035 | −0.420517 | − | 0.907284i | \(-0.638151\pi\) | ||||
−0.420517 | + | 0.907284i | \(0.638151\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −4.25585 | −0.189383 | ||||||||
\(506\) | −23.8167 | − | 20.4428i | −1.05878 | − | 0.908791i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −13.2174 | + | 2.02695i | −0.586426 | + | 0.0899314i | ||||
\(509\) | − | 24.1765i | − | 1.07160i | −0.844344 | − | 0.535801i | \(-0.820010\pi\) | ||
0.844344 | − | 0.535801i | \(-0.179990\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 3.14305 | − | 2.99680i | 0.139040 | − | 0.132570i | ||||
\(512\) | −22.5129 | − | 2.27328i | −0.994941 | − | 0.100466i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −13.0675 | + | 15.2243i | −0.576384 | + | 0.671513i | ||||
\(515\) | 15.3254i | 0.675319i | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 72.8525i | 3.20405i | ||||||||
\(518\) | −0.989654 | − | 18.9168i | −0.0434829 | − | 0.831158i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 3.59404 | − | 5.76913i | 0.157609 | − | 0.252993i | ||||
\(521\) | 17.2367i | 0.755152i | 0.925979 | + | 0.377576i | \(0.123242\pi\) | ||||
−0.925979 | + | 0.377576i | \(0.876758\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −14.1555 | −0.618975 | −0.309487 | − | 0.950904i | \(-0.600157\pi\) | ||||
−0.309487 | + | 0.950904i | \(0.600157\pi\) | |||||||
\(524\) | −4.04145 | − | 26.3536i | −0.176552 | − | 1.15126i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −12.4434 | + | 14.4971i | −0.542557 | + | 0.632104i | ||||
\(527\) | − | 14.3212i | − | 0.623843i | ||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 10.3515 | 0.450064 | ||||||||
\(530\) | 10.8270 | − | 12.6140i | 0.470296 | − | 0.547916i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −12.7596 | + | 16.5412i | −0.553198 | + | 0.717153i | ||||
\(533\) | −3.03213 | −0.131336 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 4.83844 | 0.209184 | ||||||||
\(536\) | −7.44444 | − | 4.63772i | −0.321551 | − | 0.200319i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −8.82198 | + | 10.2780i | −0.380342 | + | 0.443116i | ||||
\(539\) | 43.6335 | + | 2.07996i | 1.87943 | + | 0.0895900i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 20.6842 | 0.889283 | 0.444642 | − | 0.895709i | \(-0.353331\pi\) | ||||
0.444642 | + | 0.895709i | \(0.353331\pi\) | |||||||
\(542\) | −7.73052 | − | 6.63538i | −0.332054 | − | 0.285014i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 2.91452 | − | 6.79899i | 0.124959 | − | 0.291504i | ||||
\(545\) | − | 8.77146i | − | 0.375728i | ||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 14.1854i | 0.606526i | 0.952907 | + | 0.303263i | \(0.0980760\pi\) | ||||
−0.952907 | + | 0.303263i | \(0.901924\pi\) | |||||||
\(548\) | −1.69723 | − | 11.0674i | −0.0725023 | − | 0.472774i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 5.74803 | − | 6.69672i | 0.245097 | − | 0.285549i | ||||
\(551\) | 5.69380 | 0.242564 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −17.5966 | + | 16.7777i | −0.748282 | + | 0.713462i | ||||
\(554\) | −23.8837 | − | 20.5002i | −1.01472 | − | 0.870971i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −1.86003 | − | 12.1289i | −0.0788830 | − | 0.514382i | ||||
\(557\) | 23.5297 | 0.996987 | 0.498494 | − | 0.866893i | \(-0.333887\pi\) | ||||
0.498494 | + | 0.866893i | \(0.333887\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 5.28325 | 0.223458 | ||||||||
\(560\) | 5.11898 | − | 9.26261i | 0.216317 | − | 0.391417i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 29.2119 | + | 25.0736i | 1.23223 | + | 1.05767i | ||||
\(563\) | −30.5742 | −1.28855 | −0.644275 | − | 0.764794i | \(-0.722841\pi\) | ||||
−0.644275 | + | 0.764794i | \(0.722841\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 4.09511i | 0.172283i | ||||||||
\(566\) | 19.9935 | + | 17.1611i | 0.840388 | + | 0.721335i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −25.1500 | − | 15.6679i | −1.05527 | − | 0.657411i | ||||
\(569\) | −12.0943 | −0.507018 | −0.253509 | − | 0.967333i | \(-0.581585\pi\) | ||||
−0.253509 | + | 0.967333i | \(0.581585\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | − | 20.1686i | − | 0.844029i | −0.906589 | − | 0.422015i | \(-0.861323\pi\) | ||
0.906589 | − | 0.422015i | \(-0.138677\pi\) | |||||||
\(572\) | 4.54643 | + | 29.6464i | 0.190096 | + | 1.23958i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −4.71458 | + | 0.246648i | −0.196783 | + | 0.0102949i | ||||
\(575\) | − | 3.55648i | − | 0.148315i | ||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | − | 2.82405i | − | 0.117567i | −0.998271 | − | 0.0587834i | \(-0.981278\pi\) | ||
0.998271 | − | 0.0587834i | \(-0.0187221\pi\) | |||||||
\(578\) | −16.4080 | − | 14.0835i | −0.682481 | − | 0.585798i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −2.85109 | + | 0.437230i | −0.118385 | + | 0.0181550i | ||||
\(581\) | 13.5091 | + | 14.1684i | 0.560451 | + | 0.587804i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 73.3532i | 3.03798i | ||||||||
\(584\) | 3.94050 | + | 2.45484i | 0.163059 | + | 0.101582i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −14.2381 | + | 16.5881i | −0.588172 | + | 0.685248i | ||||
\(587\) | 0.0213868 | 0.000882727 | 0.000441363 | − | 1.00000i | \(-0.499860\pi\) | ||||
0.000441363 | 1.00000i | \(0.499860\pi\) | ||||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −43.2367 | −1.78154 | ||||||||
\(590\) | 0.382594 | − | 0.445739i | 0.0157511 | − | 0.0183508i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 19.3200 | − | 6.06835i | 0.794047 | − | 0.249408i | ||||
\(593\) | − | 31.7082i | − | 1.30210i | −0.759036 | − | 0.651049i | \(-0.774329\pi\) | ||
0.759036 | − | 0.651049i | \(-0.225671\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 2.38749 | + | 2.50401i | 0.0978775 | + | 0.102654i | ||||
\(596\) | 3.74424 | + | 24.4155i | 0.153370 | + | 1.00010i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 9.17156 | + | 7.87228i | 0.375053 | + | 0.321921i | ||||
\(599\) | 17.4804i | 0.714229i | 0.934061 | + | 0.357114i | \(0.116239\pi\) | ||||
−0.934061 | + | 0.357114i | \(0.883761\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | − | 45.4399i | − | 1.85353i | −0.375637 | − | 0.926767i | \(-0.622576\pi\) | ||
0.375637 | − | 0.926767i | \(-0.377424\pi\) | |||||||
\(602\) | 8.21478 | − | 0.429765i | 0.334810 | − | 0.0175159i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −31.5617 | + | 4.84015i | −1.28423 | + | 0.196943i | ||||
\(605\) | 27.9430i | 1.13604i | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −12.3160 | −0.499893 | −0.249946 | − | 0.968260i | \(-0.580413\pi\) | ||||
−0.249946 | + | 0.968260i | \(0.580413\pi\) | |||||||
\(608\) | −20.5266 | − | 8.79911i | −0.832462 | − | 0.356851i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −13.6123 | − | 11.6839i | −0.551145 | − | 0.473067i | ||||
\(611\) | − | 28.0547i | − | 1.13497i | ||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 27.3548 | 1.10485 | 0.552424 | − | 0.833563i | \(-0.313703\pi\) | ||||
0.552424 | + | 0.833563i | \(0.313703\pi\) | |||||||
\(614\) | 32.6469 | + | 28.0220i | 1.31752 | + | 1.13088i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 9.48070 | + | 45.7266i | 0.381988 | + | 1.84238i | ||||
\(617\) | 44.5457 | 1.79334 | 0.896671 | − | 0.442698i | \(-0.145979\pi\) | ||||
0.896671 | + | 0.442698i | \(0.145979\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −23.1713 | −0.931334 | −0.465667 | − | 0.884960i | \(-0.654185\pi\) | ||||
−0.465667 | + | 0.884960i | \(0.654185\pi\) | |||||||
\(620\) | 21.6502 | − | 3.32017i | 0.869494 | − | 0.133341i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −6.70223 | − | 5.75276i | −0.268735 | − | 0.230665i | ||||
\(623\) | 21.9150 | − | 20.8953i | 0.878008 | − | 0.837151i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 1.00000 | 0.0400000 | ||||||||
\(626\) | −13.3617 | + | 15.5670i | −0.534041 | + | 0.622182i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −10.2001 | + | 1.56423i | −0.407027 | + | 0.0624197i | ||||
\(629\) | 6.62032i | 0.263969i | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | − | 10.4615i | − | 0.416464i | −0.978079 | − | 0.208232i | \(-0.933229\pi\) | ||
0.978079 | − | 0.208232i | \(-0.0667709\pi\) | |||||||
\(632\) | −22.0611 | − | 13.7436i | −0.877543 | − | 0.546690i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 2.46554 | + | 2.11626i | 0.0979190 | + | 0.0840474i | ||||
\(635\) | 6.68595 | 0.265324 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −16.8028 | − | 0.800968i | −0.665750 | − | 0.0317355i | ||||
\(638\) | 8.28989 | − | 9.65810i | 0.328200 | − | 0.382368i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 10.9541 | + | 2.82979i | 0.432999 | + | 0.111857i | ||||
\(641\) | −21.4122 | −0.845731 | −0.422866 | − | 0.906192i | \(-0.638976\pi\) | ||||
−0.422866 | + | 0.906192i | \(0.638976\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −26.2531 | −1.03532 | −0.517661 | − | 0.855586i | \(-0.673197\pi\) | ||||
−0.517661 | + | 0.855586i | \(0.673197\pi\) | |||||||
\(644\) | 14.9010 | + | 11.4943i | 0.587181 | + | 0.452940i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 4.75530 | − | 5.54014i | 0.187095 | − | 0.217974i | ||||
\(647\) | 6.99553 | 0.275023 | 0.137511 | − | 0.990500i | \(-0.456090\pi\) | ||||
0.137511 | + | 0.990500i | \(0.456090\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 2.59208i | 0.101748i | ||||||||
\(650\) | −2.21350 | + | 2.57883i | −0.0868208 | + | 0.101150i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −2.51648 | + | 0.385915i | −0.0985530 | + | 0.0151136i | ||||
\(653\) | −21.1729 | −0.828559 | −0.414280 | − | 0.910150i | \(-0.635966\pi\) | ||||
−0.414280 | + | 0.910150i | \(0.635966\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 13.3308i | 0.520879i | ||||||||
\(656\) | −1.51240 | − | 4.81506i | −0.0590491 | − | 0.187997i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −2.28210 | − | 43.6215i | −0.0889656 | − | 1.70054i | ||||
\(659\) | − | 21.4552i | − | 0.835774i | −0.908499 | − | 0.417887i | \(-0.862771\pi\) | ||
0.908499 | − | 0.417887i | \(-0.137229\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | − | 19.5116i | − | 0.758914i | −0.925209 | − | 0.379457i | \(-0.876111\pi\) | ||
0.925209 | − | 0.379457i | \(-0.123889\pi\) | |||||||
\(662\) | −21.5982 | + | 25.1628i | −0.839437 | + | 0.977982i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −11.0661 | + | 17.7632i | −0.429446 | + | 0.689344i | ||||
\(665\) | 7.55975 | − | 7.20797i | 0.293155 | − | 0.279513i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | − | 5.12920i | − | 0.198603i | ||||||
\(668\) | 6.56741 | + | 42.8249i | 0.254101 | + | 1.65695i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 3.32771 | + | 2.85629i | 0.128561 | + | 0.110348i | ||||
\(671\) | 79.1585 | 3.05588 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 2.26978 | 0.0874936 | 0.0437468 | − | 0.999043i | \(-0.486071\pi\) | ||||
0.0437468 | + | 0.999043i | \(0.486071\pi\) | |||||||
\(674\) | −15.7436 | − | 13.5133i | −0.606421 | − | 0.520513i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 2.19038 | + | 14.2830i | 0.0842452 | + | 0.549348i | ||||
\(677\) | 17.8761i | 0.687035i | 0.939146 | + | 0.343518i | \(0.111619\pi\) | ||||
−0.939146 | + | 0.343518i | \(0.888381\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −23.8271 | + | 22.7183i | −0.914400 | + | 0.871850i | ||||
\(680\) | −1.95573 | + | 3.13932i | −0.0749986 | + | 0.120387i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −62.9505 | + | 73.3402i | −2.41050 | + | 2.80834i | ||||
\(683\) | 4.47109i | 0.171081i | 0.996335 | + | 0.0855407i | \(0.0272618\pi\) | ||||
−0.996335 | + | 0.0855407i | \(0.972738\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 5.59837i | 0.213903i | ||||||||
\(686\) | −26.1913 | + | 0.121414i | −0.999989 | + | 0.00463560i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 2.63523 | + | 8.38986i | 0.100467 | + | 0.319860i | ||||
\(689\) | − | 28.2475i | − | 1.07614i | ||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 2.13713 | 0.0813003 | 0.0406502 | − | 0.999173i | \(-0.487057\pi\) | ||||
0.0406502 | + | 0.999173i | \(0.487057\pi\) | |||||||
\(692\) | −25.6539 | + | 3.93416i | −0.975216 | + | 0.149554i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −19.9048 | + | 23.1900i | −0.755577 | + | 0.880281i | ||||
\(695\) | 6.13537i | 0.232728i | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 1.64996 | 0.0624967 | ||||||||
\(698\) | −0.816014 | + | 0.950694i | −0.0308866 | + | 0.0359843i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −3.23194 | + | 4.18981i | −0.122156 | + | 0.158360i | ||||
\(701\) | −2.37715 | −0.0897836 | −0.0448918 | − | 0.998992i | \(-0.514294\pi\) | ||||
−0.0448918 | + | 0.998992i | \(0.514294\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 19.9871 | 0.753829 | ||||||||
\(704\) | −44.8111 | + | 22.0071i | −1.68888 | + | 0.829424i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −13.1234 | + | 15.2894i | −0.493907 | + | 0.575424i | ||||
\(707\) | −8.14932 | + | 7.77011i | −0.306487 | + | 0.292225i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −11.2074 | −0.420904 | −0.210452 | − | 0.977604i | \(-0.567494\pi\) | ||||
−0.210452 | + | 0.977604i | \(0.567494\pi\) | |||||||
\(710\) | 11.2422 | + | 9.64959i | 0.421913 | + | 0.362143i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 27.4753 | + | 17.1165i | 1.02968 | + | 0.641467i | ||||
\(713\) | 38.9493i | 1.45866i | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | − | 14.9965i | − | 0.560838i | ||||||
\(716\) | 29.9514 | − | 4.59319i | 1.11934 | − | 0.171656i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 22.0147 | − | 25.6481i | 0.821580 | − | 0.957178i | ||||
\(719\) | −43.4702 | −1.62116 | −0.810582 | − | 0.585624i | \(-0.800849\pi\) | ||||
−0.810582 | + | 0.585624i | \(0.800849\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 27.9803 | + | 29.3459i | 1.04204 | + | 1.09290i | ||||
\(722\) | 3.66322 | + | 3.14427i | 0.136331 | + | 0.117018i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 5.77956 | − | 0.886324i | 0.214795 | − | 0.0329400i | ||||
\(725\) | 1.44221 | 0.0535624 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 8.53645 | 0.316599 | 0.158300 | − | 0.987391i | \(-0.449399\pi\) | ||||
0.158300 | + | 0.987391i | \(0.449399\pi\) | |||||||
\(728\) | −3.65091 | − | 17.6088i | −0.135312 | − | 0.652626i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −1.76143 | − | 1.51189i | −0.0651933 | − | 0.0559577i | ||||
\(731\) | −2.87492 | −0.106333 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | − | 12.7274i | − | 0.470098i | −0.971984 | − | 0.235049i | \(-0.924475\pi\) | ||
0.971984 | − | 0.235049i | \(-0.0755250\pi\) | |||||||
\(734\) | −35.2367 | − | 30.2449i | −1.30061 | − | 1.11636i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −7.92658 | + | 18.4911i | −0.292178 | + | 0.681592i | ||||
\(737\) | −19.3514 | −0.712818 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 17.6922i | 0.650817i | 0.945573 | + | 0.325409i | \(0.105502\pi\) | ||||
−0.945573 | + | 0.325409i | \(0.894498\pi\) | |||||||
\(740\) | −10.0083 | + | 1.53482i | −0.367912 | + | 0.0564212i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −2.29779 | − | 43.9213i | −0.0843544 | − | 1.61240i | ||||
\(743\) | 11.0428i | 0.405122i | 0.979270 | + | 0.202561i | \(0.0649265\pi\) | ||||
−0.979270 | + | 0.202561i | \(0.935074\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | − | 12.3505i | − | 0.452486i | ||||||
\(746\) | −12.8259 | − | 11.0090i | −0.469591 | − | 0.403066i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −2.47398 | − | 16.1324i | −0.0904576 | − | 0.589857i | ||||
\(749\) | 9.26489 | − | 8.83376i | 0.338532 | − | 0.322779i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | − | 18.4917i | − | 0.674771i | −0.941367 | − | 0.337385i | \(-0.890457\pi\) | ||
0.941367 | − | 0.337385i | \(-0.109543\pi\) | |||||||
\(752\) | 44.5512 | − | 13.9934i | 1.62461 | − | 0.510286i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −3.19234 | + | 3.71923i | −0.116258 | + | 0.135446i | ||||
\(755\) | 15.9654 | 0.581039 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −20.2498 | −0.735992 | −0.367996 | − | 0.929827i | \(-0.619956\pi\) | ||||
−0.367996 | + | 0.929827i | \(0.619956\pi\) | |||||||
\(758\) | −20.2043 | + | 23.5390i | −0.733855 | + | 0.854974i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 9.47779 | + | 5.90445i | 0.343795 | + | 0.214177i | ||||
\(761\) | 25.4306i | 0.921857i | 0.887437 | + | 0.460928i | \(0.152484\pi\) | ||||
−0.887437 | + | 0.460928i | \(0.847516\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −16.0145 | − | 16.7960i | −0.579762 | − | 0.608057i | ||||
\(764\) | 27.5730 | − | 4.22845i | 0.997555 | − | 0.152980i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 30.4599 | + | 26.1448i | 1.10056 | + | 0.944651i | ||||
\(767\) | − | 0.998180i | − | 0.0360422i | ||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | − | 31.4563i | − | 1.13434i | −0.823600 | − | 0.567172i | \(-0.808038\pi\) | ||
0.823600 | − | 0.567172i | \(-0.191962\pi\) | |||||||
\(770\) | −1.21989 | − | 23.3177i | −0.0439617 | − | 0.840310i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −4.05844 | − | 26.4643i | −0.146066 | − | 0.952472i | ||||
\(773\) | 9.51127i | 0.342097i | 0.985263 | + | 0.171048i | \(0.0547154\pi\) | ||||
−0.985263 | + | 0.171048i | \(0.945285\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −10.9517 | −0.393395 | ||||||||
\(776\) | −29.8724 | − | 18.6099i | −1.07236 | − | 0.668055i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 23.6696 | + | 20.3164i | 0.848595 | + | 0.728379i | ||||
\(779\) | − | 4.98133i | − | 0.178475i | ||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −65.3761 | −2.33934 | ||||||||
\(782\) | −4.99078 | − | 4.28376i | −0.178470 | − | 0.153187i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −7.10909 | − | 27.0825i | −0.253896 | − | 0.967231i | ||||
\(785\) | 5.15966 | 0.184156 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 23.8141 | 0.848880 | 0.424440 | − | 0.905456i | \(-0.360471\pi\) | ||||
0.424440 | + | 0.905456i | \(0.360471\pi\) | |||||||
\(788\) | −1.23688 | − | 8.06550i | −0.0440622 | − | 0.287321i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 9.86144 | + | 8.46443i | 0.350854 | + | 0.301151i | ||||
\(791\) | 7.47664 | + | 7.84153i | 0.265839 | + | 0.278813i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −30.4831 | −1.08249 | ||||||||
\(794\) | −34.0859 | + | 39.7116i | −1.20966 | + | 1.40931i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 1.11227 | + | 7.25289i | 0.0394233 | + | 0.257072i | ||||
\(797\) | − | 38.0855i | − | 1.34906i | −0.738248 | − | 0.674529i | \(-0.764347\pi\) | ||
0.738248 | − | 0.674529i | \(-0.235653\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 15.2662i | 0.540079i | ||||||||
\(800\) | −5.19929 | − | 2.22877i | −0.183822 | − | 0.0787990i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −1.83212 | − | 1.57258i | −0.0646945 | − | 0.0555296i | ||||
\(803\) | 10.2431 | 0.361471 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −6.49322 | − | 6.81012i | −0.228856 | − | 0.240025i | ||||
\(806\) | 24.2415 | − | 28.2425i | 0.853872 | − | 0.994800i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −10.2169 | − | 6.36493i | −0.359431 | − | 0.223917i | ||||
\(809\) | −0.368855 | −0.0129682 | −0.00648412 | − | 0.999979i | \(-0.502064\pi\) | ||||
−0.00648412 | + | 0.999979i | \(0.502064\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −4.21418 | −0.147980 | −0.0739900 | − | 0.997259i | \(-0.523573\pi\) | ||||
−0.0739900 | + | 0.997259i | \(0.523573\pi\) | |||||||
\(812\) | −4.66115 | + | 6.04260i | −0.163574 | + | 0.212054i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 29.1003 | − | 33.9032i | 1.01996 | − | 1.18831i | ||||
\(815\) | 1.27295 | 0.0445895 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 8.67957i | 0.303660i | ||||||||
\(818\) | 24.2305 | − | 28.2297i | 0.847201 | − | 0.987028i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 0.382519 | + | 2.49434i | 0.0133581 | + | 0.0871060i | ||||
\(821\) | 5.15654 | 0.179964 | 0.0899822 | − | 0.995943i | \(-0.471319\pi\) | ||||
0.0899822 | + | 0.995943i | \(0.471319\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | − | 53.4133i | − | 1.86187i | −0.365185 | − | 0.930935i | \(-0.618994\pi\) | ||
0.365185 | − | 0.930935i | \(-0.381006\pi\) | |||||||
\(824\) | −22.9203 | + | 36.7914i | −0.798465 | + | 1.28169i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −0.0811967 | − | 1.55204i | −0.00282520 | − | 0.0540025i | ||||
\(827\) | − | 13.7009i | − | 0.476426i | −0.971213 | − | 0.238213i | \(-0.923438\pi\) | ||
0.971213 | − | 0.238213i | \(-0.0765617\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | − | 19.5764i | − | 0.679915i | −0.940441 | − | 0.339958i | \(-0.889587\pi\) | ||
0.940441 | − | 0.339958i | \(-0.110413\pi\) | |||||||
\(830\) | 6.81539 | − | 7.94023i | 0.236565 | − | 0.275610i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 17.2563 | − | 8.47469i | 0.598254 | − | 0.293807i | ||||
\(833\) | 9.14336 | + | 0.435853i | 0.316799 | + | 0.0151014i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | − | 21.6628i | − | 0.749671i | ||||||
\(836\) | −48.7045 | + | 7.46909i | −1.68448 | + | 0.258324i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 5.72286 | + | 4.91214i | 0.197693 | + | 0.169687i | ||||
\(839\) | −48.5281 | −1.67537 | −0.837687 | − | 0.546150i | \(-0.816093\pi\) | ||||
−0.837687 | + | 0.546150i | \(0.816093\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −26.9200 | −0.928277 | ||||||||
\(842\) | 15.7852 | + | 13.5490i | 0.543993 | + | 0.466928i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 11.2251 | − | 1.72143i | 0.386384 | − | 0.0592540i | ||||
\(845\) | − | 7.22501i | − | 0.248548i | ||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 51.0168 | + | 53.5066i | 1.75296 | + | 1.83851i | ||||
\(848\) | 44.8574 | − | 14.0896i | 1.54041 | − | 0.483837i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 1.20450 | − | 1.40329i | 0.0413139 | − | 0.0481326i | ||||
\(851\) | − | 18.0052i | − | 0.617210i | ||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 2.55438i | 0.0874603i | 0.999043 | + | 0.0437302i | \(0.0139242\pi\) | ||||
−0.999043 | + | 0.0437302i | \(0.986076\pi\) | |||||||
\(854\) | −47.3973 | + | 2.47964i | −1.62190 | + | 0.0848515i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 11.6155 | + | 7.23623i | 0.397011 | + | 0.247329i | ||||
\(857\) | − | 17.1530i | − | 0.585937i | −0.956122 | − | 0.292968i | \(-0.905357\pi\) | ||
0.956122 | − | 0.292968i | \(-0.0946430\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −43.1437 | −1.47204 | −0.736022 | − | 0.676958i | \(-0.763298\pi\) | ||||
−0.736022 | + | 0.676958i | \(0.763298\pi\) | |||||||
\(860\) | −0.666509 | − | 4.34618i | −0.0227278 | − | 0.148204i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 18.4404 | − | 21.4839i | 0.628082 | − | 0.731744i | ||||
\(863\) | 36.5532i | 1.24429i | 0.782904 | + | 0.622143i | \(0.213738\pi\) | ||||
−0.782904 | + | 0.622143i | \(0.786262\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 12.9769 | 0.441228 | ||||||||
\(866\) | 8.17721 | − | 9.52682i | 0.277873 | − | 0.323734i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 35.3951 | − | 45.8854i | 1.20139 | − | 1.55745i | ||||
\(869\) | −57.3466 | −1.94535 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 7.45200 | 0.252502 | ||||||||
\(872\) | 13.1183 | − | 21.0575i | 0.444243 | − | 0.713096i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −12.9329 | + | 15.0675i | −0.437463 | + | 0.509665i | ||||
\(875\) | 1.91485 | − | 1.82575i | 0.0647338 | − | 0.0617215i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −14.8376 | −0.501031 | −0.250515 | − | 0.968113i | \(-0.580600\pi\) | ||||
−0.250515 | + | 0.968113i | \(0.580600\pi\) | |||||||
\(878\) | −27.1539 | − | 23.3072i | −0.916400 | − | 0.786579i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 23.8146 | − | 7.48010i | 0.802791 | − | 0.252154i | ||||
\(881\) | 9.84229i | 0.331595i | 0.986160 | + | 0.165798i | \(0.0530198\pi\) | ||||
−0.986160 | + | 0.165798i | \(0.946980\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | − | 0.749575i | − | 0.0252252i | −0.999920 | − | 0.0126126i | \(-0.995985\pi\) | ||
0.999920 | − | 0.0126126i | \(-0.00401482\pi\) | |||||||
\(884\) | 0.952701 | + | 6.21239i | 0.0320428 | + | 0.208945i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 25.7638 | − | 30.0161i | 0.865553 | − | 1.00841i | ||||
\(887\) | −26.2358 | −0.880913 | −0.440456 | − | 0.897774i | \(-0.645183\pi\) | ||||
−0.440456 | + | 0.897774i | \(0.645183\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 12.8026 | − | 12.2068i | 0.429385 | − | 0.409404i | ||||
\(890\) | −12.2816 | − | 10.5417i | −0.411680 | − | 0.353360i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 1.20558 | + | 7.86138i | 0.0403659 | + | 0.263219i | ||||
\(893\) | 46.0896 | 1.54233 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −15.1508 | −0.506434 | ||||||||
\(896\) | 26.1419 | − | 14.5808i | 0.873341 | − | 0.487109i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −38.7170 | − | 33.2322i | −1.29200 | − | 1.10897i | ||||
\(899\) | −15.7946 | −0.526780 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 15.3711i | 0.512086i | ||||||||
\(902\) | −8.44958 | − | 7.25258i | −0.281340 | − | 0.241484i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −6.12453 | + | 9.83106i | −0.203699 | + | 0.326976i | ||||
\(905\) | −2.92356 | −0.0971825 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | − | 12.6248i | − | 0.419201i | −0.977787 | − | 0.209601i | \(-0.932784\pi\) | ||
0.977787 | − | 0.209601i | \(-0.0672164\pi\) | |||||||
\(908\) | 0.772137 | + | 5.03496i | 0.0256243 | + | 0.167091i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 0.469765 | + | 8.97937i | 0.0155726 | + | 0.297663i | ||||
\(911\) | 25.1171i | 0.832167i | 0.909326 | + | 0.416084i | \(0.136598\pi\) | ||||
−0.909326 | + | 0.416084i | \(0.863402\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 46.1743i | 1.52815i | ||||||||
\(914\) | 4.57546 | + | 3.92728i | 0.151343 | + | 0.129903i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 21.0811 | − | 3.23289i | 0.696539 | − | 0.106818i | ||||
\(917\) | 24.3387 | + | 25.5266i | 0.803735 | + | 0.842961i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 53.9495i | 1.77963i | 0.456323 | + | 0.889814i | \(0.349166\pi\) | ||||
−0.456323 | + | 0.889814i | \(0.650834\pi\) | |||||||
\(920\) | 5.31896 | − | 8.53797i | 0.175361 | − | 0.281488i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 17.3123 | − | 20.1696i | 0.570150 | − | 0.664251i | ||||
\(923\) | 25.1756 | 0.828665 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 5.06265 | 0.166459 | ||||||||
\(926\) | 35.1998 | − | 41.0094i | 1.15674 | − | 1.34765i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −7.49847 | − | 3.21437i | −0.246149 | − | 0.105517i | ||||
\(929\) | − | 21.0953i | − | 0.692116i | −0.938213 | − | 0.346058i | \(-0.887520\pi\) | ||
0.938213 | − | 0.346058i | \(-0.112480\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 1.31587 | − | 27.6044i | 0.0431258 | − | 0.904696i | ||||
\(932\) | 6.19736 | + | 40.4118i | 0.203001 | + | 1.32373i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −16.9494 | − | 14.5482i | −0.554600 | − | 0.476033i | ||||
\(935\) | 8.16048i | 0.266876i | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 4.64561i | 0.151765i | 0.997117 | + | 0.0758827i | \(0.0241774\pi\) | ||||
−0.997117 | + | 0.0758827i | \(0.975823\pi\) | |||||||
\(938\) | 11.5869 | − | 0.606182i | 0.378326 | − | 0.0197925i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −23.0788 | + | 3.53924i | −0.752746 | + | 0.115437i | ||||
\(941\) | 28.8306i | 0.939849i | 0.882707 | + | 0.469925i | \(0.155719\pi\) | ||||
−0.882707 | + | 0.469925i | \(0.844281\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −4.48738 | −0.146129 | ||||||||
\(944\) | 1.58512 | − | 0.497881i | 0.0515913 | − | 0.0162047i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 14.7227 | + | 12.6370i | 0.478677 | + | 0.410865i | ||||
\(947\) | − | 18.9318i | − | 0.615200i | −0.951516 | − | 0.307600i | \(-0.900474\pi\) | ||
0.951516 | − | 0.307600i | \(-0.0995259\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −3.94450 | −0.128044 | ||||||||
\(950\) | −4.23663 | − | 3.63645i | −0.137454 | − | 0.117982i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 1.98667 | + | 9.58198i | 0.0643885 | + | 0.310554i | ||||
\(953\) | 57.1800 | 1.85224 | 0.926122 | − | 0.377225i | \(-0.123122\pi\) | ||||
0.926122 | + | 0.377225i | \(0.123122\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −13.9477 | −0.451336 | ||||||||
\(956\) | −8.67460 | + | 1.33029i | −0.280557 | + | 0.0430248i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −35.6071 | − | 30.5628i | −1.15041 | − | 0.987440i | ||||
\(959\) | 10.2212 | + | 10.7200i | 0.330060 | + | 0.346168i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 88.9388 | 2.86899 | ||||||||
\(962\) | −11.2062 | + | 13.0557i | −0.361302 | + | 0.420934i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 44.6598 | − | 6.84880i | 1.43840 | − | 0.220585i | ||||
\(965\) | 13.3869i | 0.430938i | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | − | 31.9569i | − | 1.02767i | −0.857890 | − | 0.513833i | \(-0.828225\pi\) | ||
0.857890 | − | 0.513833i | \(-0.171775\pi\) | |||||||
\(968\) | −41.7907 | + | 67.0822i | −1.34320 | + | 2.15610i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 13.3532 | + | 11.4615i | 0.428744 | + | 0.368006i | ||||
\(971\) | −7.21917 | −0.231674 | −0.115837 | − | 0.993268i | \(-0.536955\pi\) | ||||
−0.115837 | + | 0.993268i | \(0.536955\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 11.2016 | + | 11.7483i | 0.359108 | + | 0.376634i | ||||
\(974\) | −17.3953 | + | 20.2663i | −0.557381 | + | 0.649375i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −15.2046 | − | 48.4074i | −0.486688 | − | 1.54948i | ||||
\(977\) | 14.2131 | 0.454716 | 0.227358 | − | 0.973811i | \(-0.426991\pi\) | ||||
0.227358 | + | 0.973811i | \(0.426991\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 71.4204 | 2.28261 | ||||||||
\(980\) | 1.46085 | + | 13.9236i | 0.0466652 | + | 0.444772i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −1.05314 | + | 1.22696i | −0.0336071 | + | 0.0391538i | ||||
\(983\) | 23.1081 | 0.737034 | 0.368517 | − | 0.929621i | \(-0.379866\pi\) | ||||
0.368517 | + | 0.929621i | \(0.379866\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 4.07989i | 0.129996i | ||||||||
\(986\) | 1.73714 | − | 2.02385i | 0.0553218 | − | 0.0644524i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 18.7556 | − | 2.87626i | 0.596694 | − | 0.0915061i | ||||
\(989\) | 7.81890 | 0.248627 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | − | 11.3485i | − | 0.360497i | −0.983621 | − | 0.180248i | \(-0.942310\pi\) | ||
0.983621 | − | 0.180248i | \(-0.0576902\pi\) | |||||||
\(992\) | 56.9408 | + | 24.4088i | 1.80787 | + | 0.774979i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 39.1449 | − | 2.04790i | 1.24160 | − | 0.0649555i | ||||
\(995\) | − | 3.66884i | − | 0.116310i | ||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 10.4798i | 0.331900i | 0.986134 | + | 0.165950i | \(0.0530690\pi\) | ||||
−0.986134 | + | 0.165950i | \(0.946931\pi\) | |||||||
\(998\) | −17.3842 | + | 20.2534i | −0.550288 | + | 0.641110i | ||||
\(999\) | 0 | 0 |
(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 | 1260.2.c.d.811.5 | 16 | ||
3.2 | odd | 2 | 420.2.c.a.391.12 | yes | 16 | ||
4.3 | odd | 2 | 1260.2.c.e.811.6 | 16 | |||
7.6 | odd | 2 | 1260.2.c.e.811.5 | 16 | |||
12.11 | even | 2 | 420.2.c.b.391.11 | yes | 16 | ||
21.20 | even | 2 | 420.2.c.b.391.12 | yes | 16 | ||
28.27 | even | 2 | inner | 1260.2.c.d.811.6 | 16 | ||
84.83 | odd | 2 | 420.2.c.a.391.11 | ✓ | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
420.2.c.a.391.11 | ✓ | 16 | 84.83 | odd | 2 | ||
420.2.c.a.391.12 | yes | 16 | 3.2 | odd | 2 | ||
420.2.c.b.391.11 | yes | 16 | 12.11 | even | 2 | ||
420.2.c.b.391.12 | yes | 16 | 21.20 | even | 2 | ||
1260.2.c.d.811.5 | 16 | 1.1 | even | 1 | trivial | ||
1260.2.c.d.811.6 | 16 | 28.27 | even | 2 | inner | ||
1260.2.c.e.811.5 | 16 | 7.6 | odd | 2 | |||
1260.2.c.e.811.6 | 16 | 4.3 | odd | 2 |