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 | 415.4 | ||
Root | \(-2.56563i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 592.415 |
Dual form | 592.2.be.f.495.4 |
$q$-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 | \(-0.567859\pi\) |
0.952208 | − | 0.305452i | \(-0.0988074\pi\) | |||||||
\(4\) | 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 | 0.664001 | − | 0.747732i | \(-0.268857\pi\) |
−0.315555 | + | 0.948907i | \(0.602191\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −1.79122 | − | 3.10248i | −0.597073 | − | 1.03416i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −4.10723 | −1.23838 | −0.619188 | − | 0.785243i | \(-0.712538\pi\) | ||||
−0.619188 | + | 0.785243i | \(0.712538\pi\) | |||||||
\(12\) | 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 | \(0.0994049\pi\) |
−0.670519 | + | 0.741893i | \(0.733928\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 2.36526 | − | 1.36558i | 0.516141 | − | 0.297994i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −3.27882 | + | 3.27882i | −0.683681 | + | 0.683681i | −0.960828 | − | 0.277147i | \(-0.910611\pi\) |
0.277147 | + | 0.960828i | \(0.410611\pi\) | |||||||
\(24\) | 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 | 0.0623700 | − | 0.998053i | \(-0.480134\pi\) |
−0.998053 | + | 0.0623700i | \(0.980134\pi\) | |||||||
\(32\) | 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 | −0.802127 | − | 0.597153i | \(-0.796298\pi\) |
0.597153 | + | 0.802127i | \(0.296298\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −8.68873 | − | 8.68873i | −1.29524 | − | 1.29524i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | − | 9.47900i | − | 1.38265i | −0.722542 | − | 0.691327i | \(-0.757026\pi\) | ||
0.722542 | − | 0.691327i | \(-0.242974\pi\) | |||||||
\(48\) | 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 | 0.559782 | − | 0.828640i | \(-0.310885\pi\) |
0.0704657 | + | 0.997514i | \(0.477551\pi\) | |||||||
\(60\) | 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 | −0.678157 | − | 0.734917i | \(-0.737221\pi\) |
0.975535 | + | 0.219843i | \(0.0705545\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 3.07909 | + | 11.4913i | 0.370679 | + | 1.38339i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 2.19312 | + | 1.26620i | 0.260276 | + | 0.150270i | 0.624460 | − | 0.781057i | \(-0.285319\pi\) |
−0.364185 | + | 0.931327i | \(0.618652\pi\) | |||||||
\(72\) | 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 | 0.986545 | − | 0.163488i | \(-0.0522744\pi\) |
−0.936117 | + | 0.351688i | \(0.885608\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 3.45672 | − | 5.98722i | 0.384080 | − | 0.665246i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −12.9919 | + | 7.50085i | −1.42604 | + | 0.823325i | −0.996806 | − | 0.0798671i | \(-0.974550\pi\) |
−0.429236 | + | 0.903192i | \(0.641217\pi\) | |||||||
\(84\) | 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 | 0.903949 | − | 0.427641i | \(-0.140655\pi\) |
−0.427641 | + | 0.903949i | \(0.640655\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 6.62407 | − | 6.62407i | 0.646443 | − | 0.646443i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 5.01433 | + | 2.89502i | 0.484753 | + | 0.279872i | 0.722395 | − | 0.691480i | \(-0.243041\pi\) |
−0.237642 | + | 0.971353i | \(0.576374\pi\) | |||||||
\(108\) | 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 | 0.470416 | − | 0.882445i | \(-0.344104\pi\) |
0.999428 | + | 0.0338302i | \(0.0107705\pi\) | |||||||
\(128\) | 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 | \(0.298485\pi\) |
−0.915471 | + | 0.402384i | \(0.868182\pi\) | |||||||
\(132\) | 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 | 0.845649 | − | 0.533740i | \(-0.179214\pi\) |
−0.885057 | + | 0.465483i | \(0.845881\pi\) | |||||||
\(140\) | 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 | \(-0.603558\pi\) |
0.980411 | − | 0.196964i | \(-0.0631083\pi\) | |||||||
\(152\) | 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 | −0.931312 | − | 0.364222i | \(-0.881335\pi\) |
0.988651 | + | 0.150231i | \(0.0480016\pi\) | |||||||
\(164\) | 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 | \(0.0622276\pi\) |
−0.752404 | + | 0.658702i | \(0.771106\pi\) | |||||||
\(168\) | 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 | \(0.0123472\pi\) |
0.0387800 | + | 0.999248i | \(0.487653\pi\) | |||||||
\(180\) | 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 | −0.993700 | − | 0.112069i | \(-0.964252\pi\) |
0.112069 | + | 0.993700i | \(0.464252\pi\) | |||||||
\(192\) | 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 | 0.941364 | − | 0.337394i | \(-0.109545\pi\) |
−0.337394 | + | 0.941364i | \(0.609545\pi\) | |||||||
\(200\) | 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 | \(0.0457664\pi\) | ||||
−0.989682 | + | 0.143284i | \(0.954234\pi\) | |||||||
\(212\) | 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 | \(-0.734064\pi\) | ||
0.670834 | − | 0.741607i | \(-0.265936\pi\) | |||||||
\(224\) | 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 | \(-0.949955\pi\) |
0.777057 | − | 0.629430i | \(-0.216711\pi\) | |||||||
\(228\) | 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 | −0.705642 | − | 0.708568i | \(-0.749341\pi\) |
−0.965388 | + | 0.260817i | \(0.916008\pi\) | |||||||
\(240\) | 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 | 0.928051 | − | 0.372452i | \(-0.121483\pi\) |
−0.372452 | + | 0.928051i | \(0.621483\pi\) | |||||||
\(252\) | 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 | −0.706764 | − | 0.707449i | \(-0.749846\pi\) |
0.966051 | + | 0.258351i | \(0.0831791\pi\) | |||||||
\(264\) | 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 | −0.0560902 | − | 0.998426i | \(-0.517863\pi\) |
0.836617 | + | 0.547788i | \(0.184530\pi\) | |||||||
\(272\) | 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 | 0.271866 | − | 0.962335i | \(-0.412359\pi\) |
0.716610 | + | 0.697474i | \(0.245693\pi\) | |||||||
\(284\) | 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 | \(-0.380982\pi\) | ||||
0.365256 | + | 0.930907i | \(0.380982\pi\) | |||||||
\(308\) | 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 | \(-0.516372\pi\) |
0.543864 | − | 0.839174i | \(-0.316961\pi\) | |||||||
\(312\) | 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 | 0.678574 | − | 0.734532i | \(-0.262598\pi\) |
0.220396 | + | 0.975411i | \(0.429265\pi\) | |||||||
\(332\) | 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 | 0.403034 | − | 0.915185i | \(-0.367955\pi\) |
−0.915185 | + | 0.403034i | \(0.867955\pi\) | |||||||
\(348\) | 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 | \(0.0389901\pi\) | ||||
−0.992507 | + | 0.122185i | \(0.961010\pi\) | |||||||
\(360\) | 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 | −0.431000 | − | 0.902352i | \(-0.641839\pi\) |
−0.996960 | + | 0.0779192i | \(0.975172\pi\) | |||||||
\(368\) | 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 | \(0.698326\pi\) |
−0.995058 | + | 0.0992957i | \(0.968341\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | − | 49.0722i | − | 2.51405i | ||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 0.0671562 | + | 0.250630i | 0.00343152 | + | 0.0128066i | 0.967620 | − | 0.252410i | \(-0.0812232\pi\) |
−0.964189 | + | 0.265217i | \(0.914557\pi\) | |||||||
\(384\) | 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 | −0.278912 | − | 0.960317i | \(-0.589974\pi\) |
0.692203 | + | 0.721703i | \(0.256640\pi\) | |||||||
\(420\) | 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 | −0.0442379 | − | 0.999021i | \(-0.514086\pi\) |
0.461199 | + | 0.887297i | \(0.347419\pi\) | |||||||
\(432\) | 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 | 0.00300894 | − | 0.999995i | \(-0.499042\pi\) |
0.502604 | + | 0.864517i | \(0.332376\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −10.5087 | + | 18.2016i | −0.500415 | + | 0.866745i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −18.4761 | −0.877827 | −0.438914 | − | 0.898529i | \(-0.644637\pi\) | ||||
−0.438914 | + | 0.898529i | \(0.644637\pi\) | |||||||
\(444\) | 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 | \(-0.940029\pi\) |
0.757054 | − | 0.653353i | \(-0.226638\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −56.1489 | + | 32.4176i | −2.60384 | + | 1.50333i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −6.00990 | + | 6.00990i | −0.278105 | + | 0.278105i | −0.832352 | − | 0.554247i | \(-0.813006\pi\) |
0.554247 | + | 0.832352i | \(0.313006\pi\) | |||||||
\(468\) | 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 | 0.00530995 | − | 0.999986i | \(-0.498310\pi\) |
−0.495394 | + | 0.868668i | \(0.664976\pi\) | |||||||
\(480\) | 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 | −0.806393 | − | 0.591380i | \(-0.798583\pi\) |
0.591380 | + | 0.806393i | \(0.298583\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −5.13127 | − | 5.13127i | −0.232044 | − | 0.232044i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 16.6226i | 0.750168i | 0.926991 | + | 0.375084i | \(0.122386\pi\) | ||||
−0.926991 | + | 0.375084i | \(0.877614\pi\) | |||||||
\(492\) | 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 | −0.119029 | − | 0.992891i | \(-0.537978\pi\) |
0.393364 | + | 0.919383i | \(0.371311\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 28.2798 | + | 7.57756i | 1.26345 | + | 0.338540i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 23.9100 | + | 6.40667i | 1.06609 | + | 0.285659i | 0.748888 | − | 0.662697i | \(-0.230588\pi\) |
0.317207 | + | 0.948356i | \(0.397255\pi\) | |||||||
\(504\) | 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 | \(0.0319253\pi\) |
−0.811609 | + | 0.584201i | \(0.801408\pi\) | |||||||
\(524\) | 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 | 0.294787 | − | 0.955563i | \(-0.404751\pi\) |
−0.955563 | + | 0.294787i | \(0.904751\pi\) | |||||||
\(548\) | 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 | −0.828028 | − | 0.560687i | \(-0.810537\pi\) |
0.560687 | + | 0.828028i | \(0.310537\pi\) | |||||||
\(564\) | 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 | −0.954199 | − | 0.299173i | \(-0.903289\pi\) |
−0.218008 | + | 0.975947i | \(0.569956\pi\) | |||||||
\(572\) | 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 | −0.963082 | − | 0.269208i | \(-0.913238\pi\) |
−0.699449 | + | 0.714682i | \(0.746571\pi\) | |||||||
\(588\) | 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 | 0.897032 | − | 0.441965i | \(-0.145719\pi\) |
0.0657630 | + | 0.997835i | \(0.479052\pi\) | |||||||
\(600\) | 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 | \(0.348178\pi\) |
−0.841775 | + | 0.539829i | \(0.818489\pi\) | |||||||
\(608\) | 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 | \(-0.308053\pi\) | ||||
0.567133 | + | 0.823626i | \(0.308053\pi\) | |||||||
\(620\) | 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 | \(-0.805628\pi\) |
0.996214 | − | 0.0869300i | \(-0.0277056\pi\) | |||||||
\(632\) | 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 | 0.992453 | − | 0.122629i | \(-0.0391325\pi\) |
−0.122629 | + | 0.992453i | \(0.539132\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 8.36381 | + | 14.4865i | 0.329325 | + | 0.570407i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 18.7398 | − | 5.02131i | 0.736736 | − | 0.197408i | 0.129109 | − | 0.991630i | \(-0.458788\pi\) |
0.607627 | + | 0.794222i | \(0.292122\pi\) | |||||||
\(648\) | 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 | −0.991862 | − | 0.127320i | \(-0.959363\pi\) |
0.606193 | + | 0.795317i | \(0.292696\pi\) | |||||||
\(660\) | 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 | 0.671927 | − | 0.740617i | \(-0.265467\pi\) |
0.211598 | + | 0.977357i | \(0.432133\pi\) | |||||||
\(684\) | 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 | \(0.0434598\pi\) |
−0.377473 | + | 0.926021i | \(0.623207\pi\) | |||||||
\(692\) | 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 | −0.638748 | − | 0.769416i | \(-0.720547\pi\) |
0.346960 | + | 0.937880i | \(0.387214\pi\) | |||||||
\(720\) | 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 | 0.107287 | − | 0.994228i | \(-0.465784\pi\) |
0.590028 | + | 0.807383i | \(0.299117\pi\) | |||||||
\(728\) | 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 | \(-0.477350\pi\) | ||||
0.0710985 | + | 0.997469i | \(0.477350\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 56.0929 | 2.06062 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −9.77216 | + | 16.9259i | −0.358506 | + | 0.620950i | −0.987711 | − | 0.156289i | \(-0.950047\pi\) |
0.629206 | + | 0.777239i | \(0.283380\pi\) | |||||||
\(744\) | 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 | \(-0.634413\pi\) | ||||
−0.409834 | + | 0.912160i | \(0.634413\pi\) | |||||||
\(752\) | 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 | \(-0.646929\pi\) | ||
0.445372 | − | 0.895346i | \(-0.353071\pi\) | |||||||
\(788\) | 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 | −0.350471 | − | 0.936574i | \(-0.613978\pi\) |
−0.986332 | + | 0.164770i | \(0.947312\pi\) | |||||||
\(812\) | 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 | −0.289885 | − | 0.957061i | \(-0.593617\pi\) |
0.683897 | + | 0.729579i | \(0.260284\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 71.2850i | 2.48182i | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 1.28254 | + | 4.78649i | 0.0445981 | + | 0.166442i | 0.984633 | − | 0.174635i | \(-0.0558747\pi\) |
−0.940035 | + | 0.341078i | \(0.889208\pi\) | |||||||
\(828\) | 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 | \(-0.985071\pi\) |
0.458847 | − | 0.888515i | \(-0.348262\pi\) | |||||||
\(840\) | 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 | −0.243228 | − | 0.969969i | \(-0.578206\pi\) |
0.969969 | + | 0.243228i | \(0.0782064\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 14.5811 | 0.496923 | ||||||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 18.5645 | − | 10.7182i | 0.631945 | − | 0.364853i | −0.149560 | − | 0.988753i | \(-0.547786\pi\) |
0.781505 | + | 0.623899i | \(0.214452\pi\) | |||||||
\(864\) | 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 | −0.151349 | − | 0.988480i | \(-0.548362\pi\) |
0.363168 | + | 0.931724i | \(0.381695\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 22.0521 | − | 38.1953i | 0.741272 | − | 1.28392i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −44.7384 | −1.50217 | −0.751084 | − | 0.660206i | \(-0.770469\pi\) | ||||
−0.751084 | + | 0.660206i | \(0.770469\pi\) | |||||||
\(888\) | 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 | 0.985861 | − | 0.167566i | \(-0.0535908\pi\) |
−0.937564 | + | 0.347814i | \(0.886924\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −28.0275 | + | 16.1817i | −0.929613 | + | 0.536712i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 13.6126 | − | 13.6126i | 0.451007 | − | 0.451007i | −0.444682 | − | 0.895689i | \(-0.646683\pi\) |
0.895689 | + | 0.444682i | \(0.146683\pi\) | |||||||
\(912\) | 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 | 0.941847 | − | 0.336041i | \(-0.109088\pi\) |
−0.336041 | + | 0.941847i | \(0.609088\pi\) | |||||||
\(920\) | 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 | −0.181544 | − | 0.983383i | \(-0.558109\pi\) |
−0.648913 | + | 0.760863i | \(0.724776\pi\) | |||||||
\(948\) | 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 | \(-0.813056\pi\) |
0.443854 | − | 0.896099i | \(-0.353611\pi\) | |||||||
\(968\) | 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 | \(0.692065\pi\) |
−0.996818 | + | 0.0797061i | \(0.974602\pi\) | |||||||
\(972\) | 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 | \(0.0364879\pi\) |
−0.397663 | + | 0.917531i | \(0.630179\pi\) | |||||||
\(984\) | 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 | \(-0.996781\pi\) |
−0.0101114 | − | 0.999949i | \(-0.503219\pi\) | |||||||
\(992\) | 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.f.415.4 | yes | 20 | |
4.3 | odd | 2 | 592.2.be.e.415.2 | ✓ | 20 | ||
37.14 | odd | 12 | 592.2.be.e.495.2 | yes | 20 | ||
148.51 | even | 12 | inner | 592.2.be.f.495.4 | yes | 20 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
592.2.be.e.415.2 | ✓ | 20 | 4.3 | odd | 2 | ||
592.2.be.e.495.2 | yes | 20 | 37.14 | odd | 12 | ||
592.2.be.f.415.4 | yes | 20 | 1.1 | even | 1 | trivial | |
592.2.be.f.495.4 | yes | 20 | 148.51 | even | 12 | inner |