Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [592,2,Mod(319,592)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(592, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 0, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("592.319");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 592 = 2^{4} \cdot 37 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 592.be (of order \(12\), degree \(4\), 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: | \(4.72714379966\) |
Analytic rank: | \(0\) |
Dimension: | \(20\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{12})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{20} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{20} + 46 x^{18} + 885 x^{16} + 9292 x^{14} + 58264 x^{12} + 224256 x^{10} + 523884 x^{8} + 706272 x^{6} + 490896 x^{4} + 133632 x^{2} + 144 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 2^{2} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 415.2 | ||
Root | \(-2.56563i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 592.415 |
Dual form | 592.2.be.e.495.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/592\mathbb{Z}\right)^\times\).
\(n\) | \(113\) | \(149\) | \(223\) |
\(\chi(n)\) | \(e\left(\frac{1}{12}\right)\) | \(1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | −1.28281 | + | 2.22190i | −0.740633 | + | 1.28281i | 0.211575 | + | 0.977362i | \(0.432141\pi\) |
−0.952208 | + | 0.305452i | \(0.901193\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 3.31311 | − | 0.887746i | 1.48167 | − | 0.397012i | 0.574754 | − | 0.818326i | \(-0.305098\pi\) |
0.906915 | + | 0.421314i | \(0.138431\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.921902 | − | 0.532260i | −0.348446 | − | 0.201175i | 0.315555 | − | 0.948907i | \(-0.397809\pi\) |
−0.664001 | + | 0.747732i | \(0.731143\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −1.79122 | − | 3.10248i | −0.597073 | − | 1.03416i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 4.10723 | 1.23838 | 0.619188 | − | 0.785243i | \(-0.287462\pi\) | ||||
0.619188 | + | 0.785243i | \(0.287462\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 4.46062 | − | 1.19522i | 1.23715 | − | 0.331494i | 0.419792 | − | 0.907620i | \(-0.362103\pi\) |
0.817361 | + | 0.576126i | \(0.195436\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −2.27762 | + | 8.50021i | −0.588080 | + | 2.19475i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −0.143130 | + | 0.534169i | −0.0347142 | + | 0.129555i | −0.981108 | − | 0.193459i | \(-0.938029\pi\) |
0.946394 | + | 0.323014i | \(0.104696\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −1.22535 | − | 4.57306i | −0.281114 | − | 1.04913i | −0.951633 | − | 0.307238i | \(-0.900595\pi\) |
0.670519 | − | 0.741893i | \(-0.266072\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 2.36526 | − | 1.36558i | 0.516141 | − | 0.297994i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 3.27882 | − | 3.27882i | 0.683681 | − | 0.683681i | −0.277147 | − | 0.960828i | \(-0.589389\pi\) |
0.960828 | + | 0.277147i | \(0.0893888\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 5.85850 | − | 3.38241i | 1.17170 | − | 0.676481i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 1.49432 | 0.287583 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −6.59744 | + | 6.59744i | −1.22511 | + | 1.22511i | −0.259324 | + | 0.965790i | \(0.583500\pi\) |
−0.965790 | + | 0.259324i | \(0.916500\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 5.20966 | + | 5.20966i | 0.935683 | + | 0.935683i | 0.998053 | − | 0.0623700i | \(-0.0198659\pi\) |
−0.0623700 | + | 0.998053i | \(0.519866\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −5.26881 | + | 9.12584i | −0.917182 | + | 1.58861i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −3.52688 | − | 0.945024i | −0.596151 | − | 0.159738i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −4.97186 | + | 3.50437i | −0.817369 | + | 0.576115i | ||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −3.06649 | + | 11.4443i | −0.491031 | + | 1.83255i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 4.62353 | + | 2.66940i | 0.722075 | + | 0.416890i | 0.815516 | − | 0.578735i | \(-0.196453\pi\) |
−0.0934410 | + | 0.995625i | \(0.529787\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 1.34410 | − | 1.34410i | 0.204974 | − | 0.204974i | −0.597153 | − | 0.802127i | \(-0.703702\pi\) |
0.802127 | + | 0.597153i | \(0.203702\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −8.68873 | − | 8.68873i | −1.29524 | − | 1.29524i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 9.47900i | 1.38265i | 0.722542 | + | 0.691327i | \(0.242974\pi\) | ||||
−0.722542 | + | 0.691327i | \(0.757026\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −2.93340 | − | 5.08079i | −0.419057 | − | 0.725828i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −1.00326 | − | 1.00326i | −0.140485 | − | 0.140485i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 1.36189 | + | 2.35887i | 0.187071 | + | 0.324016i | 0.944272 | − | 0.329165i | \(-0.106767\pi\) |
−0.757202 | + | 0.653181i | \(0.773434\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 13.6077 | − | 3.64618i | 1.83486 | − | 0.491650i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 11.7328 | + | 3.14378i | 1.55404 | + | 0.416404i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −4.84103 | − | 1.29715i | −0.630248 | − | 0.168874i | −0.0704657 | − | 0.997514i | \(-0.522449\pi\) |
−0.559782 | + | 0.828640i | \(0.689115\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −2.42351 | − | 9.04465i | −0.310298 | − | 1.15805i | −0.928288 | − | 0.371862i | \(-0.878719\pi\) |
0.617990 | − | 0.786186i | \(-0.287947\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 3.81358i | 0.480466i | ||||||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 13.7175 | − | 7.91979i | 1.70144 | − | 0.982329i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −2.43414 | + | 4.21606i | −0.297378 | + | 0.515074i | −0.975535 | − | 0.219843i | \(-0.929445\pi\) |
0.678157 | + | 0.734917i | \(0.262779\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 3.07909 | + | 11.4913i | 0.370679 | + | 1.38339i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −2.19312 | − | 1.26620i | −0.260276 | − | 0.150270i | 0.364185 | − | 0.931327i | \(-0.381348\pi\) |
−0.624460 | + | 0.781057i | \(0.714681\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 12.9196i | 1.51213i | 0.654498 | + | 0.756064i | \(0.272880\pi\) | ||||
−0.654498 | + | 0.756064i | \(0.727120\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 17.3560i | 2.00410i | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −3.78646 | − | 2.18611i | −0.431507 | − | 0.249131i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −0.448216 | − | 1.67276i | −0.0504282 | − | 0.188201i | 0.936117 | − | 0.351688i | \(-0.114392\pi\) |
−0.986545 | + | 0.163488i | \(0.947726\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 3.45672 | − | 5.98722i | 0.384080 | − | 0.665246i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 12.9919 | − | 7.50085i | 1.42604 | − | 0.823325i | 0.429236 | − | 0.903192i | \(-0.358783\pi\) |
0.996806 | + | 0.0798671i | \(0.0254496\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 1.89683i | 0.205740i | ||||||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −6.19556 | − | 23.1221i | −0.664233 | − | 2.47895i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −14.7714 | − | 3.95797i | −1.56576 | − | 0.419544i | −0.631279 | − | 0.775556i | \(-0.717470\pi\) |
−0.934482 | + | 0.356011i | \(0.884136\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −4.74842 | − | 1.27234i | −0.497770 | − | 0.133377i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −18.2584 | + | 4.89231i | −1.89330 | + | 0.507309i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −8.11942 | − | 14.0633i | −0.833035 | − | 1.44286i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 9.15861 | + | 9.15861i | 0.929916 | + | 0.929916i | 0.997700 | − | 0.0677837i | \(-0.0215928\pi\) |
−0.0677837 | + | 0.997700i | \(0.521593\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −7.35695 | − | 12.7426i | −0.739401 | − | 1.28068i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | − | 9.03388i | − | 0.898905i | −0.893304 | − | 0.449452i | \(-0.851619\pi\) | ||
0.893304 | − | 0.449452i | \(-0.148381\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −4.83399 | − | 4.83399i | −0.476307 | − | 0.476307i | 0.427641 | − | 0.903949i | \(-0.359345\pi\) |
−0.903949 | + | 0.427641i | \(0.859345\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 6.62407 | − | 6.62407i | 0.646443 | − | 0.646443i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −5.01433 | − | 2.89502i | −0.484753 | − | 0.279872i | 0.237642 | − | 0.971353i | \(-0.423626\pi\) |
−0.722395 | + | 0.691480i | \(0.756959\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 3.33051 | − | 12.4296i | 0.319005 | − | 1.19054i | −0.601198 | − | 0.799100i | \(-0.705310\pi\) |
0.920203 | − | 0.391442i | \(-0.128024\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −1.40838 | − | 15.5424i | −0.133677 | − | 1.47522i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 0.775994 | + | 0.207927i | 0.0729994 | + | 0.0195601i | 0.295134 | − | 0.955456i | \(-0.404636\pi\) |
−0.222135 | + | 0.975016i | \(0.571302\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 7.95234 | − | 13.7739i | 0.741559 | − | 1.28442i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −11.6981 | − | 11.6981i | −1.08149 | − | 1.08149i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 0.416269 | − | 0.416269i | 0.0381593 | − | 0.0381593i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 5.86933 | 0.533576 | ||||||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −11.8623 | + | 6.84868i | −1.06958 | + | 0.617525i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 4.28031 | − | 4.28031i | 0.382843 | − | 0.382843i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −16.5643 | + | 9.56340i | −1.46984 | + | 0.848615i | −0.999428 | − | 0.0338302i | \(-0.989229\pi\) |
−0.470416 | + | 0.882445i | \(0.655896\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 1.26223 | + | 4.71070i | 0.111133 | + | 0.414754i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 3.70654 | − | 13.8330i | 0.323842 | − | 1.20859i | −0.591629 | − | 0.806210i | \(-0.701515\pi\) |
0.915471 | − | 0.402384i | \(-0.131818\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −1.30441 | + | 4.86811i | −0.113106 | + | 0.422119i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 4.95087 | − | 1.32658i | 0.426103 | − | 0.114174i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 5.33351 | 0.455672 | 0.227836 | − | 0.973700i | \(-0.426835\pi\) | ||||
0.227836 | + | 0.973700i | \(0.426835\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 0.464616 | + | 0.804738i | 0.0394082 | + | 0.0682570i | 0.885057 | − | 0.465483i | \(-0.154119\pi\) |
−0.845649 | + | 0.533740i | \(0.820786\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −21.0614 | − | 12.1598i | −1.77369 | − | 1.02404i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 18.3208 | − | 4.90904i | 1.53206 | − | 0.410515i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −16.0012 | + | 27.7149i | −1.32883 | + | 2.30160i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 15.0520 | 1.24147 | ||||||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 7.86230 | 0.644105 | 0.322053 | − | 0.946722i | \(-0.395627\pi\) | ||||
0.322053 | + | 0.946722i | \(0.395627\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −8.11982 | + | 14.0639i | −0.660781 | + | 1.14451i | 0.319629 | + | 0.947543i | \(0.396442\pi\) |
−0.980411 | + | 0.196964i | \(0.936892\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 1.91363 | − | 0.512755i | 0.154708 | − | 0.0414538i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 21.8851 | + | 12.6353i | 1.75785 | + | 1.01490i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −4.91552 | − | 8.51392i | −0.392301 | − | 0.679485i | 0.600452 | − | 0.799661i | \(-0.294987\pi\) |
−0.992753 | + | 0.120176i | \(0.961654\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −6.98823 | −0.554202 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −4.76793 | + | 1.27756i | −0.375766 | + | 0.100686i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −0.732053 | + | 2.73206i | −0.0573388 | + | 0.213991i | −0.988651 | − | 0.150231i | \(-0.951998\pi\) |
0.931312 | + | 0.364222i | \(0.118665\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −9.35473 | + | 34.9123i | −0.728264 | + | 2.71792i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −2.95349 | − | 11.0226i | −0.228548 | − | 0.852953i | −0.980952 | − | 0.194251i | \(-0.937772\pi\) |
0.752404 | − | 0.658702i | \(-0.228894\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 7.21024 | − | 4.16284i | 0.554634 | − | 0.320218i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −11.9930 | + | 11.9930i | −0.917125 | + | 0.917125i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −9.41607 | + | 5.43637i | −0.715890 | + | 0.413319i | −0.813238 | − | 0.581931i | \(-0.802297\pi\) |
0.0973479 | + | 0.995250i | \(0.468964\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −7.20128 | −0.544366 | ||||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 9.09226 | − | 9.09226i | 0.683416 | − | 0.683416i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −13.8879 | − | 13.8879i | −1.03803 | − | 1.03803i | −0.999248 | − | 0.0387800i | \(-0.987653\pi\) |
−0.0387800 | − | 0.999248i | \(-0.512347\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 3.21521 | − | 5.56891i | 0.238985 | − | 0.413934i | −0.721438 | − | 0.692479i | \(-0.756519\pi\) |
0.960423 | + | 0.278545i | \(0.0898520\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 23.2052 | + | 6.21781i | 1.71538 | + | 0.459634i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −13.3613 | + | 16.0241i | −0.982346 | + | 1.17812i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −0.587869 | + | 2.19396i | −0.0429892 | + | 0.160438i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −1.37762 | − | 0.795369i | −0.100207 | − | 0.0578546i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 12.1844 | − | 12.1844i | 0.881632 | − | 0.881632i | −0.112069 | − | 0.993700i | \(-0.535748\pi\) |
0.993700 | + | 0.112069i | \(0.0357476\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 15.4383 | + | 15.4383i | 1.11127 | + | 1.11127i | 0.992978 | + | 0.118296i | \(0.0377433\pi\) |
0.118296 | + | 0.992978i | \(0.462257\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 40.6385i | 2.91018i | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 4.95390 | + | 8.58040i | 0.352951 | + | 0.611328i | 0.986765 | − | 0.162157i | \(-0.0518450\pi\) |
−0.633814 | + | 0.773485i | \(0.718512\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −8.52004 | − | 8.52004i | −0.603970 | − | 0.603970i | 0.337394 | − | 0.941364i | \(-0.390455\pi\) |
−0.941364 | + | 0.337394i | \(0.890455\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −6.24510 | − | 10.8168i | −0.440496 | − | 0.762961i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 9.59375 | − | 2.57064i | 0.673349 | − | 0.180423i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 17.6880 | + | 4.73950i | 1.23539 | + | 0.331021i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −16.0456 | − | 4.29940i | −1.11524 | − | 0.298829i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −5.03278 | − | 18.7826i | −0.348125 | − | 1.29922i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | − | 4.16265i | − | 0.286569i | −0.989682 | − | 0.143284i | \(-0.954234\pi\) | ||
0.989682 | − | 0.143284i | \(-0.0457664\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 5.62673 | − | 3.24860i | 0.385537 | − | 0.222590i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 3.25995 | − | 5.64639i | 0.222327 | − | 0.385081i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −2.02990 | − | 7.57569i | −0.137799 | − | 0.514272i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −28.7061 | − | 16.5735i | −1.93978 | − | 1.11993i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 2.55380i | 0.171787i | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 22.1491i | 1.48321i | 0.670834 | + | 0.741607i | \(0.265936\pi\) | ||||
−0.670834 | + | 0.741607i | \(0.734064\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −20.9877 | − | 12.1173i | −1.39918 | − | 0.807818i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 3.17314 | + | 11.8423i | 0.210609 | + | 0.786003i | 0.987666 | + | 0.156573i | \(0.0500448\pi\) |
−0.777057 | + | 0.629430i | \(0.783289\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −12.8225 | + | 22.2091i | −0.847332 | + | 1.46762i | 0.0362489 | + | 0.999343i | \(0.488459\pi\) |
−0.883581 | + | 0.468279i | \(0.844874\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 9.71465 | − | 5.60875i | 0.639177 | − | 0.369029i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | − | 11.3416i | − | 0.743011i | −0.928431 | − | 0.371506i | \(-0.878842\pi\) | ||
0.928431 | − | 0.371506i | \(-0.121158\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 8.41495 | + | 31.4050i | 0.548931 | + | 2.04864i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 4.29169 | + | 1.14995i | 0.278775 | + | 0.0746976i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 25.8335 | + | 6.92207i | 1.67103 | + | 0.447751i | 0.965388 | − | 0.260817i | \(-0.0839919\pi\) |
0.705642 | + | 0.708568i | \(0.250659\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −8.07195 | + | 2.16287i | −0.519960 | + | 0.139323i | −0.509248 | − | 0.860620i | \(-0.670076\pi\) |
−0.0107119 | + | 0.999943i | \(0.503410\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 11.1101 | + | 19.2433i | 0.712716 | + | 1.23446i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −14.2291 | − | 14.2291i | −0.909066 | − | 0.909066i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −10.9316 | − | 18.9341i | −0.695562 | − | 1.20475i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 38.4888i | 2.43913i | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −8.80235 | − | 8.80235i | −0.555600 | − | 0.555600i | 0.372452 | − | 0.928051i | \(-0.378517\pi\) |
−0.928051 | + | 0.372452i | \(0.878517\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 13.4669 | − | 13.4669i | 0.846654 | − | 0.846654i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −4.21455 | − | 2.43327i | −0.263926 | − | 0.152378i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 8.15736 | − | 30.4437i | 0.508842 | − | 1.89902i | 0.0771108 | − | 0.997023i | \(-0.475430\pi\) |
0.431731 | − | 0.902002i | \(-0.357903\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 6.44880 | − | 0.584359i | 0.400709 | − | 0.0363103i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 32.2859 | + | 8.65099i | 1.99845 | + | 0.535483i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −4.20493 | + | 7.28315i | −0.259287 | + | 0.449098i | −0.966051 | − | 0.258351i | \(-0.916821\pi\) |
0.706764 | + | 0.707449i | \(0.250154\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 6.60619 | + | 6.60619i | 0.405815 | + | 0.405815i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 27.7431 | − | 27.7431i | 1.69785 | − | 1.69785i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −24.5521 | −1.49697 | −0.748483 | − | 0.663154i | \(-0.769217\pi\) | ||||
−0.748483 | + | 0.663154i | \(0.769217\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −12.8491 | + | 7.41843i | −0.780527 | + | 0.450637i | −0.836617 | − | 0.547788i | \(-0.815470\pi\) |
0.0560902 | + | 0.998426i | \(0.482137\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 8.91834 | − | 8.91834i | 0.539762 | − | 0.539762i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 24.0622 | − | 13.8923i | 1.45100 | − | 0.837738i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −2.96327 | − | 11.0591i | −0.178046 | − | 0.664475i | −0.996013 | − | 0.0892104i | \(-0.971566\pi\) |
0.817967 | − | 0.575265i | \(-0.195101\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 6.83124 | − | 25.4946i | 0.408976 | − | 1.52632i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 5.56147 | − | 20.7557i | 0.331770 | − | 1.23818i | −0.575559 | − | 0.817760i | \(-0.695216\pi\) |
0.907329 | − | 0.420421i | \(-0.138118\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −16.6287 | + | 4.45566i | −0.988476 | + | 0.264861i | −0.716610 | − | 0.697474i | \(-0.754307\pi\) |
−0.271866 | + | 0.962335i | \(0.587641\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 41.6628 | 2.46789 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −2.84163 | − | 4.92185i | −0.167736 | − | 0.290527i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 14.4576 | + | 8.34709i | 0.850446 | + | 0.491005i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −32.0983 | + | 8.60071i | −1.88164 | + | 0.504183i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −1.77150 | + | 3.06833i | −0.103492 | + | 0.179254i | −0.913121 | − | 0.407688i | \(-0.866335\pi\) |
0.809629 | + | 0.586942i | \(0.199668\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −17.1904 | −1.00086 | ||||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 6.13753 | 0.356136 | ||||||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 10.7067 | − | 18.5445i | 0.619182 | − | 1.07245i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −1.95455 | + | 0.523719i | −0.112658 | + | 0.0301867i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 20.0724 | + | 11.5888i | 1.15313 | + | 0.665758i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −16.0587 | − | 27.8145i | −0.919518 | − | 1.59265i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −12.7996 | −0.730511 | −0.365256 | − | 0.930907i | \(-0.619018\pi\) | ||||
−0.365256 | + | 0.930907i | \(0.619018\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 16.9417 | − | 4.53953i | 0.963782 | − | 0.258245i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −8.68446 | + | 32.4109i | −0.492451 | + | 1.83785i | 0.0514129 | + | 0.998677i | \(0.483628\pi\) |
−0.543864 | + | 0.839174i | \(0.683039\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −2.95371 | + | 11.0234i | −0.166954 | + | 0.623079i | 0.830829 | + | 0.556527i | \(0.187867\pi\) |
−0.997783 | + | 0.0665521i | \(0.978800\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 3.38549 | + | 12.6348i | 0.190751 | + | 0.711892i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −6.60059 | + | 3.81086i | −0.370726 | + | 0.214039i | −0.673776 | − | 0.738936i | \(-0.735329\pi\) |
0.303049 | + | 0.952975i | \(0.401995\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −27.0972 | + | 27.0972i | −1.51715 | + | 1.51715i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 12.8649 | − | 7.42755i | 0.718048 | − | 0.414565i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 2.61817 | 0.145679 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 22.0898 | − | 22.0898i | 1.22532 | − | 1.22532i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 23.3449 | + | 23.3449i | 1.29098 | + | 1.29098i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 5.04530 | − | 8.73871i | 0.278156 | − | 0.481781i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −16.3553 | − | 4.38239i | −0.898969 | − | 0.240878i | −0.220396 | − | 0.975411i | \(-0.570735\pi\) |
−0.678574 | + | 0.734532i | \(0.737402\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 19.7779 | + | 9.14803i | 1.08382 | + | 0.501309i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −4.32180 | + | 16.1292i | −0.236125 | + | 0.881231i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −20.4415 | − | 11.8019i | −1.11352 | − | 0.642892i | −0.173783 | − | 0.984784i | \(-0.555599\pi\) |
−0.939739 | + | 0.341892i | \(0.888932\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −1.45745 | + | 1.45745i | −0.0791577 | + | 0.0791577i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 21.3973 | + | 21.3973i | 1.15873 | + | 1.15873i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 13.6970i | 0.739567i | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 20.4027 | + | 35.3386i | 1.09845 | + | 1.90256i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 9.54031 | + | 9.54031i | 0.512150 | + | 0.512150i | 0.915185 | − | 0.403034i | \(-0.132045\pi\) |
−0.403034 | + | 0.915185i | \(0.632045\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −4.94731 | − | 8.56899i | −0.264823 | − | 0.458687i | 0.702694 | − | 0.711492i | \(-0.251980\pi\) |
−0.967517 | + | 0.252805i | \(0.918647\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 6.66561 | − | 1.78605i | 0.355784 | − | 0.0953320i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −29.2935 | − | 7.84916i | −1.55913 | − | 0.417769i | −0.626744 | − | 0.779225i | \(-0.715613\pi\) |
−0.932389 | + | 0.361456i | \(0.882280\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −8.39012 | − | 2.24813i | −0.445302 | − | 0.119318i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 0.390912 | + | 1.45890i | 0.0206892 | + | 0.0772133i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | − | 4.63014i | − | 0.244370i | −0.992507 | − | 0.122185i | \(-0.961010\pi\) | ||
0.992507 | − | 0.122185i | \(-0.0389901\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −2.95688 | + | 1.70716i | −0.155626 | + | 0.0898504i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −7.52926 | + | 13.0411i | −0.395183 | + | 0.684478i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 11.4693 | + | 42.8042i | 0.600333 | + | 2.24047i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 27.3558 | + | 15.7939i | 1.42796 | + | 0.824433i | 0.996960 | − | 0.0779192i | \(-0.0248276\pi\) |
0.431000 | + | 0.902352i | \(0.358161\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | − | 19.1259i | − | 0.995656i | ||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | − | 2.89953i | − | 0.150536i | ||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −17.3245 | − | 10.0023i | −0.897030 | − | 0.517901i | −0.0207947 | − | 0.999784i | \(-0.506620\pi\) |
−0.876235 | + | 0.481883i | \(0.839953\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 4.01958 | + | 15.0013i | 0.207570 | + | 0.774662i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −21.5433 | + | 37.3141i | −1.10954 | + | 1.92177i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 30.7317 | − | 17.7429i | 1.57858 | − | 0.911393i | 0.583522 | − | 0.812098i | \(-0.301674\pi\) |
0.995058 | − | 0.0992957i | \(-0.0316590\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | − | 49.0722i | − | 2.51405i | ||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −0.0671562 | − | 0.250630i | −0.00343152 | − | 0.0128066i | 0.964189 | − | 0.265217i | \(-0.0854435\pi\) |
−0.967620 | + | 0.252410i | \(0.918777\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −14.4857 | − | 3.88143i | −0.738259 | − | 0.197816i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −6.57765 | − | 1.76248i | −0.334361 | − | 0.0895917i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −13.1144 | + | 3.51399i | −0.664925 | + | 0.178166i | −0.575468 | − | 0.817824i | \(-0.695180\pi\) |
−0.0894574 | + | 0.995991i | \(0.528513\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 1.28215 | + | 2.22074i | 0.0648409 | + | 0.112308i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 25.9807 | + | 25.9807i | 1.31055 | + | 1.31055i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −2.96998 | − | 5.14415i | −0.149436 | − | 0.258830i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 2.67669i | 0.134339i | 0.997742 | + | 0.0671695i | \(0.0213968\pi\) | ||||
−0.997742 | + | 0.0671695i | \(0.978603\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −9.14314 | − | 9.14314i | −0.457729 | − | 0.457729i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 13.6170 | − | 13.6170i | 0.679998 | − | 0.679998i | −0.280001 | − | 0.960000i | \(-0.590335\pi\) |
0.960000 | + | 0.280001i | \(0.0903349\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 29.4650 | + | 17.0116i | 1.46776 | + | 0.847410i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 6.13738 | − | 22.9050i | 0.304969 | − | 1.13816i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −20.4206 | + | 14.3932i | −1.01221 | + | 0.713447i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 28.5669 | + | 7.65448i | 1.41254 | + | 0.378490i | 0.882832 | − | 0.469689i | \(-0.155634\pi\) |
0.529711 | + | 0.848178i | \(0.322301\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −6.84189 | + | 11.8505i | −0.337486 | + | 0.584542i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 3.77253 | + | 3.77253i | 0.185634 | + | 0.185634i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 36.3846 | − | 36.3846i | 1.78605 | − | 1.78605i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −2.38406 | −0.116748 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −8.45985 | + | 4.88430i | −0.413291 | + | 0.238613i | −0.692203 | − | 0.721703i | \(-0.743360\pi\) |
0.278912 | + | 0.960317i | \(0.410026\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −5.78874 | + | 5.78874i | −0.282126 | + | 0.282126i | −0.833956 | − | 0.551830i | \(-0.813930\pi\) |
0.551830 | + | 0.833956i | \(0.313930\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 29.4085 | − | 16.9790i | 1.42989 | − | 0.825546i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 0.968249 | + | 3.61355i | 0.0469670 | + | 0.175283i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −2.57987 | + | 9.62821i | −0.124849 | + | 0.465942i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −12.5948 | + | 47.0043i | −0.608081 | + | 2.26939i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −8.65634 | + | 2.31946i | −0.416961 | + | 0.111724i | −0.461199 | − | 0.887297i | \(-0.652581\pi\) |
0.0442379 | + | 0.999021i | \(0.485914\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −22.4023 | −1.07658 | −0.538292 | − | 0.842759i | \(-0.680930\pi\) | ||||
−0.538292 | + | 0.842759i | \(0.680930\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −41.0532 | − | 71.1061i | −1.96835 | − | 3.40928i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −19.0119 | − | 10.9765i | −0.909463 | − | 0.525079i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −10.5938 | + | 2.83859i | −0.505612 | + | 0.135478i | −0.502604 | − | 0.864517i | \(-0.667624\pi\) |
−0.00300894 | + | 0.999995i | \(0.500958\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −10.5087 | + | 18.2016i | −0.500415 | + | 0.866745i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 18.4761 | 0.877827 | 0.438914 | − | 0.898529i | \(-0.355363\pi\) | ||||
0.438914 | + | 0.898529i | \(0.355363\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −52.4529 | −2.48650 | ||||||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −10.0859 | + | 17.4692i | −0.477045 | + | 0.826267i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −9.34310 | + | 2.50348i | −0.440928 | + | 0.118146i | −0.472451 | − | 0.881357i | \(-0.656631\pi\) |
0.0315234 | + | 0.999503i | \(0.489964\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 18.9899 | + | 10.9638i | 0.894200 | + | 0.516267i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −20.8324 | − | 36.0828i | −0.978793 | − | 1.69532i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −16.8616 | −0.790482 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 2.74958 | − | 0.736748i | 0.128620 | − | 0.0344636i | −0.193935 | − | 0.981014i | \(-0.562125\pi\) |
0.322555 | + | 0.946551i | \(0.395458\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −0.213883 | + | 0.798222i | −0.00998320 | + | 0.0372578i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 2.59232 | − | 9.67468i | 0.120737 | − | 0.450595i | −0.878915 | − | 0.476978i | \(-0.841732\pi\) |
0.999652 | + | 0.0263829i | \(0.00839890\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 4.84681 | + | 18.0885i | 0.225250 | + | 0.840646i | 0.982304 | + | 0.187293i | \(0.0599714\pi\) |
−0.757054 | + | 0.653353i | \(0.773362\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −56.1489 | + | 32.4176i | −2.60384 | + | 1.50333i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 6.00990 | − | 6.00990i | 0.278105 | − | 0.278105i | −0.554247 | − | 0.832352i | \(-0.686994\pi\) |
0.832352 | + | 0.554247i | \(0.186994\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 4.48808 | − | 2.59119i | 0.207240 | − | 0.119650i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 25.2228 | 1.16220 | ||||||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 5.52055 | − | 5.52055i | 0.253835 | − | 0.253835i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −22.6466 | − | 22.6466i | −1.03910 | − | 1.03910i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 4.87891 | − | 8.45051i | 0.223390 | − | 0.386922i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 10.7260 | + | 2.87403i | 0.490084 | + | 0.131318i | 0.495394 | − | 0.868668i | \(-0.335024\pi\) |
−0.00530995 | + | 0.999986i | \(0.501690\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −17.9891 | + | 21.5741i | −0.820232 | + | 0.983695i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 3.27775 | − | 12.2327i | 0.149143 | − | 0.556609i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 38.4740 | + | 22.2130i | 1.74702 | + | 1.00864i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 4.74492 | − | 4.74492i | 0.215013 | − | 0.215013i | −0.591380 | − | 0.806393i | \(-0.701417\pi\) |
0.806393 | + | 0.591380i | \(0.201417\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −5.13127 | − | 5.13127i | −0.232044 | − | 0.232044i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | − | 16.6226i | − | 0.750168i | −0.926991 | − | 0.375084i | \(-0.877614\pi\) | ||
0.926991 | − | 0.375084i | \(-0.122386\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −2.57986 | − | 4.46844i | −0.116191 | − | 0.201249i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −35.6866 | − | 35.6866i | −1.60399 | − | 1.60399i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 1.34790 | + | 2.33462i | 0.0604614 | + | 0.104722i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −6.12818 | + | 1.64204i | −0.274335 | + | 0.0735079i | −0.393364 | − | 0.919383i | \(-0.628689\pi\) |
0.119029 | + | 0.992891i | \(0.462022\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 28.2798 | + | 7.57756i | 1.26345 | + | 0.338540i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −23.9100 | − | 6.40667i | −1.06609 | − | 0.285659i | −0.317207 | − | 0.948356i | \(-0.602745\pi\) |
−0.748888 | + | 0.662697i | \(0.769412\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −8.01979 | − | 29.9303i | −0.356876 | − | 1.33188i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 21.3606i | 0.948656i | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −9.01265 | + | 5.20346i | −0.399479 | + | 0.230639i | −0.686259 | − | 0.727357i | \(-0.740748\pi\) |
0.286780 | + | 0.957996i | \(0.407415\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 6.87660 | − | 11.9106i | 0.304203 | − | 0.526895i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −1.83107 | − | 6.83363i | −0.0808435 | − | 0.301712i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −20.3069 | − | 11.7242i | −0.894830 | − | 0.516630i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 38.9324i | 1.71225i | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | − | 27.8954i | − | 1.22447i | ||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −16.9426 | − | 9.78182i | −0.742269 | − | 0.428549i | 0.0806248 | − | 0.996745i | \(-0.474308\pi\) |
−0.822894 | + | 0.568195i | \(0.807642\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −4.19342 | − | 15.6501i | −0.183365 | − | 0.684329i | −0.994975 | − | 0.100128i | \(-0.968075\pi\) |
0.811609 | − | 0.584201i | \(-0.198592\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 9.23790 | − | 16.0005i | 0.403175 | − | 0.698319i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −3.52850 | + | 2.03718i | −0.153704 | + | 0.0887410i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 1.49870i | 0.0651611i | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 4.64696 | + | 17.3427i | 0.201661 | + | 0.752608i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 23.8143 | + | 6.38103i | 1.03151 | + | 0.276393i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −19.1831 | − | 5.14009i | −0.829357 | − | 0.222226i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 48.6730 | − | 13.0419i | 2.10039 | − | 0.562799i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −12.0481 | − | 20.8680i | −0.518950 | − | 0.898848i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 7.57423 | + | 7.57423i | 0.325641 | + | 0.325641i | 0.850926 | − | 0.525285i | \(-0.176041\pi\) |
−0.525285 | + | 0.850926i | \(0.676041\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 8.24904 | + | 14.2878i | 0.354000 | + | 0.613146i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | − | 44.1374i | − | 1.89064i | ||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 15.4542 | + | 15.4542i | 0.660776 | + | 0.660776i | 0.955563 | − | 0.294787i | \(-0.0952488\pi\) |
−0.294787 | + | 0.955563i | \(0.595249\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −23.7198 | + | 23.7198i | −1.01234 | + | 1.01234i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 38.2546 | + | 22.0863i | 1.62970 | + | 0.940909i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −0.477135 | + | 1.78069i | −0.0202898 | + | 0.0757227i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −18.4638 | − | 50.2435i | −0.783746 | − | 2.13272i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −4.59438 | − | 1.23106i | −0.194670 | − | 0.0521617i | 0.160167 | − | 0.987090i | \(-0.448797\pi\) |
−0.354837 | + | 0.934928i | \(0.615464\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 4.38904 | − | 7.60204i | 0.185637 | − | 0.321532i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −4.12062 | − | 4.12062i | −0.173973 | − | 0.173973i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 6.34335 | − | 6.34335i | 0.267340 | − | 0.267340i | −0.560687 | − | 0.828028i | \(-0.689463\pi\) |
0.828028 | + | 0.560687i | \(0.189463\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 2.75554 | 0.115927 | ||||||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −6.37351 | + | 3.67975i | −0.267662 | + | 0.154535i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 13.3609 | − | 13.3609i | 0.560117 | − | 0.560117i | −0.369224 | − | 0.929341i | \(-0.620376\pi\) |
0.929341 | + | 0.369224i | \(0.120376\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 28.0106 | − | 16.1719i | 1.17221 | − | 0.676774i | 0.218008 | − | 0.975947i | \(-0.430044\pi\) |
0.954199 | + | 0.299173i | \(0.0967109\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 11.4422 | + | 42.7028i | 0.478004 | + | 1.78393i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 8.11866 | − | 30.2992i | 0.338571 | − | 1.26357i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 10.2424 | − | 38.2253i | 0.426398 | − | 1.59134i | −0.334452 | − | 0.942413i | \(-0.608551\pi\) |
0.760850 | − | 0.648928i | \(-0.224782\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −54.1069 | + | 14.4979i | −2.24860 | + | 0.602512i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −15.9696 | −0.662531 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 5.59361 | + | 9.68842i | 0.231664 | + | 0.401253i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −49.1421 | − | 28.3722i | −2.03177 | − | 1.17305i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 40.2799 | − | 10.7930i | 1.66253 | − | 0.445474i | 0.699449 | − | 0.714682i | \(-0.253429\pi\) |
0.963082 | + | 0.269208i | \(0.0867621\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 17.4404 | − | 30.2077i | 0.718621 | − | 1.24469i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −25.4197 | −1.04563 | ||||||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −6.05194 | −0.248523 | −0.124262 | − | 0.992249i | \(-0.539656\pi\) | ||||
−0.124262 | + | 0.992249i | \(0.539656\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 1.00961 | − | 1.74869i | 0.0413898 | − | 0.0716892i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 29.8603 | − | 8.00104i | 1.22210 | − | 0.327461i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −23.5639 | − | 13.6046i | −0.962795 | − | 0.555870i | −0.0657630 | − | 0.997835i | \(-0.520948\pi\) |
−0.897032 | + | 0.441965i | \(0.854281\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 13.9110 | + | 24.0946i | 0.567443 | + | 0.982840i | 0.996818 | + | 0.0797133i | \(0.0254005\pi\) |
−0.429375 | + | 0.903126i | \(0.641266\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 17.4403 | 0.710226 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 19.4458 | − | 5.21047i | 0.790582 | − | 0.211836i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 9.42849 | − | 35.1876i | 0.382691 | − | 1.42822i | −0.459084 | − | 0.888393i | \(-0.651822\pi\) |
0.841775 | − | 0.539829i | \(-0.181511\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −6.59530 | + | 24.6140i | −0.267255 | + | 0.997409i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 11.3295 | + | 42.2822i | 0.458342 | + | 1.71056i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 32.0996 | − | 18.5327i | 1.29649 | − | 0.748529i | 0.316693 | − | 0.948528i | \(-0.397427\pi\) |
0.979796 | + | 0.199999i | \(0.0640940\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −33.2211 | + | 33.2211i | −1.33961 | + | 1.33961i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −22.9221 | + | 13.2341i | −0.922809 | + | 0.532784i | −0.884530 | − | 0.466483i | \(-0.845521\pi\) |
−0.0382787 | + | 0.999267i | \(0.512187\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −28.2202 | −1.13427 | −0.567133 | − | 0.823626i | \(-0.691947\pi\) | ||||
−0.567133 | + | 0.823626i | \(0.691947\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 4.89962 | − | 4.89962i | 0.196615 | − | 0.196615i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 11.5111 | + | 11.5111i | 0.461181 | + | 0.461181i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −6.53069 | + | 11.3115i | −0.261228 | + | 0.452460i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 48.1891 | + | 12.9122i | 1.92449 | + | 0.515665i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −1.16030 | − | 3.15740i | −0.0462643 | − | 0.125894i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −4.44449 | + | 16.5871i | −0.176932 | + | 0.660321i | 0.819282 | + | 0.573391i | \(0.194372\pi\) |
−0.996214 | + | 0.0869300i | \(0.972294\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 9.24899 | + | 5.33991i | 0.367614 | + | 0.212242i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −46.3895 | + | 46.3895i | −1.84091 | + | 1.84091i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −19.1574 | − | 19.1574i | −0.759045 | − | 0.759045i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 9.07217i | 0.358889i | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −0.689148 | − | 1.19364i | −0.0272197 | − | 0.0471459i | 0.852095 | − | 0.523388i | \(-0.175332\pi\) |
−0.879314 | + | 0.476242i | \(0.841999\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −22.0565 | − | 22.0565i | −0.869824 | − | 0.869824i | 0.122629 | − | 0.992453i | \(-0.460868\pi\) |
−0.992453 | + | 0.122629i | \(0.960868\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 8.36381 | + | 14.4865i | 0.329325 | + | 0.570407i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −18.7398 | + | 5.02131i | −0.736736 | + | 0.197408i | −0.607627 | − | 0.794222i | \(-0.707878\pi\) |
−0.129109 | + | 0.991630i | \(0.541212\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −19.8832 | − | 5.32769i | −0.780484 | − | 0.209130i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 19.4364 | + | 5.20797i | 0.761773 | + | 0.204116i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −2.36083 | − | 8.81075i | −0.0923866 | − | 0.344791i | 0.904224 | − | 0.427059i | \(-0.140450\pi\) |
−0.996610 | + | 0.0822678i | \(0.973784\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | − | 49.1207i | − | 1.91931i | ||||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 40.0829 | − | 23.1419i | 1.56378 | − | 0.902851i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 9.90050 | − | 17.1482i | 0.385669 | − | 0.667997i | −0.606193 | − | 0.795317i | \(-0.707304\pi\) |
0.991862 | + | 0.127320i | \(0.0406375\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 1.01710 | + | 3.79588i | 0.0395607 | + | 0.147642i | 0.982881 | − | 0.184241i | \(-0.0589826\pi\) |
−0.943320 | + | 0.331883i | \(0.892316\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −5.67428 | − | 3.27605i | −0.220371 | − | 0.127231i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 17.2866i | 0.670345i | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 43.2636i | 1.67517i | ||||||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −49.2131 | − | 28.4132i | −1.90269 | − | 1.09852i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −9.95389 | − | 37.1484i | −0.384266 | − | 1.43410i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −3.68093 | + | 6.37555i | −0.141889 | + | 0.245760i | −0.928208 | − | 0.372062i | \(-0.878651\pi\) |
0.786319 | + | 0.617821i | \(0.211984\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 8.75450 | − | 5.05441i | 0.336961 | − | 0.194544i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | − | 7.16592i | − | 0.275409i | −0.990473 | − | 0.137704i | \(-0.956028\pi\) | ||
0.990473 | − | 0.137704i | \(-0.0439724\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −3.56858 | − | 13.3181i | −0.136949 | − | 0.511102i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −30.3830 | − | 8.14110i | −1.16428 | − | 0.311968i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −23.0903 | − | 6.18702i | −0.883525 | − | 0.236740i | −0.211598 | − | 0.977357i | \(-0.567867\pi\) |
−0.671927 | + | 0.740617i | \(0.734533\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 17.6705 | − | 4.73480i | 0.675155 | − | 0.180907i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −32.8976 | − | 56.9804i | −1.25512 | − | 2.17394i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 8.89426 | + | 8.89426i | 0.338844 | + | 0.338844i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −16.1197 | − | 27.9201i | −0.613221 | − | 1.06213i | −0.990694 | − | 0.136109i | \(-0.956540\pi\) |
0.377473 | − | 0.926021i | \(-0.376793\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 15.6632i | 0.594998i | ||||||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 2.25373 | + | 2.25373i | 0.0854888 | + | 0.0854888i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −2.08768 | + | 2.08768i | −0.0790765 | + | 0.0790765i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 25.1998 | + | 14.5491i | 0.953145 | + | 0.550298i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 1.94640 | − | 7.26405i | 0.0735144 | − | 0.274360i | −0.919378 | − | 0.393375i | \(-0.871307\pi\) |
0.992892 | + | 0.119016i | \(0.0379739\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 22.1179 | + | 18.4425i | 0.834193 | + | 0.695573i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −80.5735 | − | 21.5896i | −3.03457 | − | 0.813112i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −4.80837 | + | 8.32835i | −0.180838 | + | 0.313220i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 14.6322 | + | 14.6322i | 0.549524 | + | 0.549524i | 0.926303 | − | 0.376779i | \(-0.122968\pi\) |
−0.376779 | + | 0.926303i | \(0.622968\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −4.38687 | + | 4.38687i | −0.164521 | + | 0.164521i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 34.1631 | 1.27942 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 56.3409 | − | 32.5284i | 2.10703 | − | 1.21649i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −48.5197 | + | 48.5197i | −1.81200 | + | 1.81200i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 7.82407 | − | 4.51723i | 0.291789 | − | 0.168464i | −0.346960 | − | 0.937880i | \(-0.612786\pi\) |
0.638748 | + | 0.769416i | \(0.279453\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 1.88352 | + | 7.02941i | 0.0701461 | + | 0.261789i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 5.54912 | − | 20.7096i | 0.206374 | − | 0.770199i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −16.3359 | + | 60.9663i | −0.606699 | + | 2.26423i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −18.8017 | + | 5.03789i | −0.697315 | + | 0.186845i | −0.590028 | − | 0.807383i | \(-0.700883\pi\) |
−0.107287 | + | 0.994228i | \(0.534216\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −36.2686 | −1.34328 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 0.525597 | + | 0.910361i | 0.0194399 | + | 0.0336709i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 14.5379 | + | 8.39344i | 0.536968 | + | 0.310019i | 0.743849 | − | 0.668347i | \(-0.232998\pi\) |
−0.206881 | + | 0.978366i | \(0.566331\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 49.8690 | − | 13.3624i | 1.83945 | − | 0.492878i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −9.99758 | + | 17.3163i | −0.368266 | + | 0.637855i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −3.86556 | −0.142197 | −0.0710985 | − | 0.997469i | \(-0.522650\pi\) | ||||
−0.0710985 | + | 0.997469i | \(0.522650\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 56.0929 | 2.06062 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 9.77216 | − | 16.9259i | 0.358506 | − | 0.620950i | −0.629206 | − | 0.777239i | \(-0.716620\pi\) |
0.987711 | + | 0.156289i | \(0.0499530\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 26.0487 | − | 6.97973i | 0.954351 | − | 0.255717i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −46.5425 | − | 26.8714i | −1.70290 | − | 0.983171i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 3.08181 | + | 5.33785i | 0.112607 | + | 0.195041i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 22.4625 | 0.819668 | 0.409834 | − | 0.912160i | \(-0.365587\pi\) | ||||
0.409834 | + | 0.912160i | \(0.365587\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 30.8497 | − | 8.26615i | 1.12423 | − | 0.301235i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −14.4167 | + | 53.8037i | −0.524676 | + | 1.95812i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −0.398995 | + | 1.48907i | −0.0145017 | + | 0.0541211i | −0.972798 | − | 0.231657i | \(-0.925585\pi\) |
0.958296 | + | 0.285778i | \(0.0922520\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 12.6465 | + | 47.1974i | 0.459039 | + | 1.71316i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −12.5172 | + | 7.22682i | −0.453749 | + | 0.261972i | −0.709412 | − | 0.704794i | \(-0.751040\pi\) |
0.255663 | + | 0.966766i | \(0.417706\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −9.68620 | + | 9.68620i | −0.350664 | + | 0.350664i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 5.88487 | − | 3.39763i | 0.212768 | − | 0.122842i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −23.1443 | −0.835694 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −13.1848 | + | 13.1848i | −0.475456 | + | 0.475456i | −0.903675 | − | 0.428219i | \(-0.859141\pi\) |
0.428219 | + | 0.903675i | \(0.359141\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 57.1784 | + | 57.1784i | 2.05923 | + | 2.05923i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 3.45856 | − | 5.99040i | 0.124396 | − | 0.215460i | −0.797101 | − | 0.603846i | \(-0.793634\pi\) |
0.921497 | + | 0.388386i | \(0.126967\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 48.1420 | + | 12.8996i | 1.72931 | + | 0.463368i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −6.97422 | + | 15.0782i | −0.250199 | + | 0.540928i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 6.54188 | − | 24.4146i | 0.234387 | − | 0.874745i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −9.00765 | − | 5.20057i | −0.322319 | − | 0.186091i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −9.85872 | + | 9.85872i | −0.352322 | + | 0.352322i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −23.8439 | − | 23.8439i | −0.851024 | − | 0.851024i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 50.2352i | 1.79069i | 0.445372 | + | 0.895346i | \(0.353071\pi\) | ||||
−0.445372 | + | 0.895346i | \(0.646929\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −10.7883 | − | 18.6858i | −0.384073 | − | 0.665234i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −0.604719 | − | 0.604719i | −0.0215013 | − | 0.0215013i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −21.6207 | − | 37.4481i | −0.767773 | − | 1.32982i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −23.1528 | + | 6.20377i | −0.821145 | + | 0.220025i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 18.6254 | + | 4.99067i | 0.659747 | + | 0.176779i | 0.573132 | − | 0.819463i | \(-0.305728\pi\) |
0.0866151 | + | 0.996242i | \(0.472395\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −5.06339 | − | 1.35673i | −0.179130 | − | 0.0479977i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 14.1792 | + | 52.9175i | 0.500997 | + | 1.86975i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 53.0639i | 1.87258i | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −14.6625 | + | 8.46543i | −0.516787 | + | 0.298367i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 31.4957 | − | 54.5522i | 1.10870 | − | 1.92033i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 4.11579 | + | 15.3603i | 0.144703 | + | 0.540040i | 0.999768 | + | 0.0215196i | \(0.00685042\pi\) |
−0.855065 | + | 0.518521i | \(0.826483\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 38.0696 | + | 21.9795i | 1.33680 | + | 0.771804i | 0.986332 | − | 0.164770i | \(-0.0526882\pi\) |
0.350471 | + | 0.936574i | \(0.386022\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | − | 38.0658i | − | 1.33503i | ||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 9.70149i | 0.339828i | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −7.79366 | − | 4.49967i | −0.272666 | − | 0.157424i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 4.55807 | + | 17.0109i | 0.159272 | + | 0.594410i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −0.142888 | + | 0.247489i | −0.00498683 | + | 0.00863744i | −0.868508 | − | 0.495675i | \(-0.834921\pi\) |
0.863521 | + | 0.504313i | \(0.168254\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −11.3034 | + | 6.52601i | −0.394011 | + | 0.227483i | −0.683897 | − | 0.729579i | \(-0.739716\pi\) |
0.289885 | + | 0.957061i | \(0.406383\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 71.2850i | 2.48182i | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −1.28254 | − | 4.78649i | −0.0445981 | − | 0.166442i | 0.940035 | − | 0.341078i | \(-0.110792\pi\) |
−0.984633 | + | 0.174635i | \(0.944125\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −3.11272 | − | 0.834050i | −0.108109 | − | 0.0289677i | 0.204359 | − | 0.978896i | \(-0.434489\pi\) |
−0.312468 | + | 0.949928i | \(0.601156\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 28.3734 | + | 7.60264i | 0.984264 | + | 0.263733i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 3.13386 | − | 0.839716i | 0.108582 | − | 0.0290944i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −19.5705 | − | 33.8971i | −0.677265 | − | 1.17306i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 7.78493 | + | 7.78493i | 0.269086 | + | 0.269086i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 15.6429 | + | 27.0943i | 0.540053 | + | 0.935399i | 0.998900 | + | 0.0468840i | \(0.0149291\pi\) |
−0.458847 | + | 0.888515i | \(0.651738\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | − | 58.0525i | − | 2.00181i | ||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 38.9827 | + | 38.9827i | 1.34264 | + | 1.34264i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 20.1928 | − | 20.1928i | 0.694654 | − | 0.694654i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −5.41095 | − | 3.12401i | −0.185922 | − | 0.107342i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 11.4316 | − | 42.6632i | 0.392330 | − | 1.46420i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −4.81164 | + | 27.7920i | −0.164941 | + | 0.952698i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 4.80192 | + | 1.28667i | 0.164414 | + | 0.0440547i | 0.340087 | − | 0.940394i | \(-0.389543\pi\) |
−0.175673 | + | 0.984449i | \(0.556210\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −29.0874 | + | 50.3808i | −0.994766 | + | 1.72299i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 17.0097 | + | 17.0097i | 0.581040 | + | 0.581040i | 0.935189 | − | 0.354149i | \(-0.115230\pi\) |
−0.354149 | + | 0.935189i | \(0.615230\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −21.2998 | + | 21.2998i | −0.726741 | + | 0.726741i | −0.969969 | − | 0.243228i | \(-0.921794\pi\) |
0.243228 | + | 0.969969i | \(0.421794\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 14.5811 | 0.496923 | ||||||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −18.5645 | + | 10.7182i | −0.631945 | + | 0.364853i | −0.781505 | − | 0.623899i | \(-0.785548\pi\) |
0.149560 | + | 0.988753i | \(0.452214\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −26.3704 | + | 26.3704i | −0.896620 | + | 0.896620i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −37.0928 | + | 21.4155i | −1.25974 | + | 0.727309i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −1.84092 | − | 6.87042i | −0.0624491 | − | 0.233063i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −5.81867 | + | 21.7156i | −0.197158 | + | 0.735804i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 12.0094 | − | 44.8196i | 0.406455 | − | 1.51691i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −6.22427 | + | 1.66779i | −0.210419 | + | 0.0563815i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 27.1912 | 0.918180 | 0.459090 | − | 0.888390i | \(-0.348176\pi\) | ||||
0.459090 | + | 0.888390i | \(0.348176\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −4.54501 | − | 7.87219i | −0.153299 | − | 0.265522i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 12.9718 | + | 7.48930i | 0.437032 | + | 0.252321i | 0.702338 | − | 0.711844i | \(-0.252140\pi\) |
−0.265306 | + | 0.964164i | \(0.585473\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −6.29427 | + | 1.68655i | −0.211819 | + | 0.0567568i | −0.363168 | − | 0.931724i | \(-0.618305\pi\) |
0.151349 | + | 0.988480i | \(0.451638\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 22.0521 | − | 38.1953i | 0.741272 | − | 1.28392i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 44.7384 | 1.50217 | 0.751084 | − | 0.660206i | \(-0.229531\pi\) | ||||
0.751084 | + | 0.660206i | \(0.229531\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 20.3609 | 0.682882 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 14.1975 | − | 24.5909i | 0.475636 | − | 0.823825i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 43.3480 | − | 11.6151i | 1.45059 | − | 0.388683i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −58.3410 | − | 33.6832i | −1.95012 | − | 1.12590i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 27.4693 | + | 47.5782i | 0.917172 | + | 1.58859i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −68.7409 | −2.29264 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −1.45496 | + | 0.389857i | −0.0484719 | + | 0.0129880i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 1.34367 | − | 5.01463i | 0.0447144 | − | 0.166877i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 5.70859 | − | 21.3047i | 0.189760 | − | 0.708193i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −1.45454 | − | 5.42842i | −0.0482972 | − | 0.180248i | 0.937564 | − | 0.347814i | \(-0.113076\pi\) |
−0.985861 | + | 0.167566i | \(0.946409\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −28.0275 | + | 16.1817i | −0.929613 | + | 0.536712i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −13.6126 | + | 13.6126i | −0.451007 | + | 0.451007i | −0.895689 | − | 0.444682i | \(-0.853317\pi\) |
0.444682 | + | 0.895689i | \(0.353317\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 53.3605 | − | 30.8077i | 1.76598 | − | 1.01959i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 82.4012 | 2.72410 | ||||||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −10.7798 | + | 10.7798i | −0.355981 | + | 0.355981i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −18.3650 | − | 18.3650i | −0.605806 | − | 0.605806i | 0.336041 | − | 0.941847i | \(-0.390912\pi\) |
−0.941847 | + | 0.336041i | \(0.890912\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 16.4195 | − | 28.4394i | 0.541041 | − | 0.937110i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −11.2961 | − | 3.02677i | −0.371815 | − | 0.0996274i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −17.2744 | + | 37.3472i | −0.567980 | + | 1.22797i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −6.33864 | + | 23.6561i | −0.208188 | + | 0.776969i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 45.3737 | + | 26.1965i | 1.48866 | + | 0.859479i | 0.999916 | − | 0.0129476i | \(-0.00412147\pi\) |
0.488745 | + | 0.872427i | \(0.337455\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −19.6403 | + | 19.6403i | −0.643686 | + | 0.643686i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −60.8731 | − | 60.8731i | −1.99289 | − | 1.99289i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 7.79070i | 0.254783i | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −6.95084 | − | 12.0392i | −0.227074 | − | 0.393304i | 0.729866 | − | 0.683591i | \(-0.239583\pi\) |
−0.956940 | + | 0.290287i | \(0.906249\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −20.7038 | − | 20.7038i | −0.675643 | − | 0.675643i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −3.73019 | − | 6.46087i | −0.121601 | − | 0.210618i | 0.798798 | − | 0.601599i | \(-0.205469\pi\) |
−0.920399 | + | 0.390980i | \(0.872136\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 23.9122 | − | 6.40726i | 0.778688 | − | 0.208649i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −5.27030 | − | 1.41217i | −0.171443 | − | 0.0459380i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 25.5560 | + | 6.84770i | 0.830457 | + | 0.222520i | 0.648913 | − | 0.760863i | \(-0.275224\pi\) |
0.181544 | + | 0.983383i | \(0.441891\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 15.4418 | + | 57.6295i | 0.501262 | + | 1.87073i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | − | 19.5545i | − | 0.634097i | ||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −1.06205 | + | 0.613178i | −0.0344033 | + | 0.0198628i | −0.517103 | − | 0.855923i | \(-0.672990\pi\) |
0.482700 | + | 0.875786i | \(0.339656\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 29.5516 | − | 51.1849i | 0.956268 | − | 1.65631i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −25.4466 | − | 94.9679i | −0.822571 | − | 3.06988i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −4.91697 | − | 2.83881i | −0.158777 | − | 0.0916700i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 23.2812i | 0.751006i | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 20.7425i | 0.668418i | ||||||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 64.8542 | + | 37.4436i | 2.08773 | + | 1.20535i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 12.0837 | + | 45.0968i | 0.388584 | + | 1.45022i | 0.832439 | + | 0.554117i | \(0.186944\pi\) |
−0.443854 | + | 0.896099i | \(0.646389\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −3.35862 | + | 5.81731i | −0.107895 | + | 0.186879i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 48.7436 | − | 28.1421i | 1.56426 | − | 0.903123i | 0.567437 | − | 0.823417i | \(-0.307935\pi\) |
0.996818 | − | 0.0797061i | \(-0.0253982\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | − | 0.989186i | − | 0.0317119i | ||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 20.7442 | + | 77.4184i | 0.664346 | + | 2.47937i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 26.3628 | + | 7.06389i | 0.843421 | + | 0.225994i | 0.654560 | − | 0.756010i | \(-0.272854\pi\) |
0.188861 | + | 0.982004i | \(0.439521\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −60.6693 | − | 16.2563i | −1.93900 | − | 0.519554i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −44.5284 | + | 11.9313i | −1.42168 | + | 0.380939i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −18.6792 | − | 32.3533i | −0.595774 | − | 1.03191i | −0.993437 | − | 0.114379i | \(-0.963512\pi\) |
0.397663 | − | 0.917531i | \(-0.369821\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 24.0300 | + | 24.0300i | 0.765661 | + | 0.765661i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 12.9443 | + | 22.4203i | 0.412023 | + | 0.713645i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | − | 8.81415i | − | 0.280274i | ||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 31.7969 | + | 31.7969i | 1.01006 | + | 1.01006i | 0.999949 | + | 0.0101114i | \(0.00321861\pi\) |
0.0101114 | + | 0.999949i | \(0.496781\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 30.7180 | − | 30.7180i | 0.974808 | − | 0.974808i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −35.7915 | − | 20.6642i | −1.13467 | − | 0.655100i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −11.4993 | + | 42.9161i | −0.364187 | + | 1.35917i | 0.504332 | + | 0.863510i | \(0.331739\pi\) |
−0.868519 | + | 0.495655i | \(0.834928\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −7.42957 | + | 5.23666i | −0.235061 | + | 0.165681i |
(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 | 592.2.be.e.415.2 | ✓ | 20 | |
4.3 | odd | 2 | 592.2.be.f.415.4 | yes | 20 | ||
37.14 | odd | 12 | 592.2.be.f.495.4 | yes | 20 | ||
148.51 | even | 12 | inner | 592.2.be.e.495.2 | yes | 20 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
592.2.be.e.415.2 | ✓ | 20 | 1.1 | even | 1 | trivial | |
592.2.be.e.495.2 | yes | 20 | 148.51 | even | 12 | inner | |
592.2.be.f.415.4 | yes | 20 | 4.3 | odd | 2 | ||
592.2.be.f.495.4 | yes | 20 | 37.14 | odd | 12 |