Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [804,2,Mod(25,804)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(804, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 0, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("804.25");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 804 = 2^{2} \cdot 3 \cdot 67 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 804.q (of order \(11\), degree \(10\), 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: | \(6.41997232251\) |
Analytic rank: | \(0\) |
Dimension: | \(60\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{11})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 25.1 | ||
Character | \(\chi\) | \(=\) | 804.25 |
Dual form | 804.2.q.b.193.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/804\mathbb{Z}\right)^\times\).
\(n\) | \(269\) | \(337\) | \(403\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{5}{11}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | 0.654861 | − | 0.755750i | 0.378084 | − | 0.436332i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −3.19644 | + | 2.05423i | −1.42949 | + | 0.918678i | −0.429613 | + | 0.903013i | \(0.641350\pi\) |
−0.999877 | + | 0.0156645i | \(0.995014\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.0504230 | − | 0.350699i | −0.0190581 | − | 0.132552i | 0.978071 | − | 0.208271i | \(-0.0667837\pi\) |
−0.997129 | + | 0.0757195i | \(0.975875\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −0.142315 | − | 0.989821i | −0.0474383 | − | 0.329940i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 0.990890 | − | 0.636806i | 0.298765 | − | 0.192004i | −0.382667 | − | 0.923886i | \(-0.624994\pi\) |
0.681431 | + | 0.731882i | \(0.261358\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 2.04519 | − | 4.47833i | 0.567233 | − | 1.24207i | −0.381025 | − | 0.924565i | \(-0.624429\pi\) |
0.948258 | − | 0.317502i | \(-0.102844\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −0.540741 | + | 3.76094i | −0.139619 | + | 0.971070i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 2.93464 | + | 0.861688i | 0.711755 | + | 0.208990i | 0.617515 | − | 0.786559i | \(-0.288140\pi\) |
0.0942403 | + | 0.995549i | \(0.469958\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 0.418195 | − | 2.90861i | 0.0959405 | − | 0.667281i | −0.883926 | − | 0.467627i | \(-0.845109\pi\) |
0.979866 | − | 0.199654i | \(-0.0639819\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −0.298061 | − | 0.191552i | −0.0650422 | − | 0.0418001i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 0.101789 | − | 0.117470i | 0.0212244 | − | 0.0244943i | −0.745038 | − | 0.667022i | \(-0.767569\pi\) |
0.766263 | + | 0.642528i | \(0.222114\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 3.92029 | − | 8.58425i | 0.784059 | − | 1.71685i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −0.841254 | − | 0.540641i | −0.161899 | − | 0.104046i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 10.1618 | 1.88699 | 0.943496 | − | 0.331384i | \(-0.107515\pi\) | ||||
0.943496 | + | 0.331384i | \(0.107515\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −1.39787 | − | 3.06091i | −0.251065 | − | 0.549755i | 0.741573 | − | 0.670872i | \(-0.234080\pi\) |
−0.992638 | + | 0.121116i | \(0.961353\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 0.167629 | − | 1.16588i | 0.0291804 | − | 0.202954i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 0.881590 | + | 1.01741i | 0.149016 | + | 0.171973i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 3.68070 | 0.605103 | 0.302552 | − | 0.953133i | \(-0.402162\pi\) | ||||
0.302552 | + | 0.953133i | \(0.402162\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −2.04519 | − | 4.47833i | −0.327492 | − | 0.717107i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 3.40130 | + | 0.998712i | 0.531194 | + | 0.155973i | 0.536321 | − | 0.844014i | \(-0.319814\pi\) |
−0.00512677 | + | 0.999987i | \(0.501632\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 3.71322 | + | 1.09030i | 0.566261 | + | 0.166269i | 0.552318 | − | 0.833634i | \(-0.313743\pi\) |
0.0139431 | + | 0.999903i | \(0.495562\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 2.48822 | + | 2.87156i | 0.370921 | + | 0.428066i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 2.23068 | − | 2.57434i | 0.325378 | − | 0.375506i | −0.569367 | − | 0.822083i | \(-0.692812\pi\) |
0.894745 | + | 0.446577i | \(0.147357\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 6.59600 | − | 1.93676i | 0.942286 | − | 0.276680i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 2.57300 | − | 1.65357i | 0.360292 | − | 0.231546i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −8.63420 | + | 2.53523i | −1.18600 | + | 0.348241i | −0.814484 | − | 0.580186i | \(-0.802980\pi\) |
−0.371515 | + | 0.928427i | \(0.621162\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −1.85917 | + | 4.07102i | −0.250691 | + | 0.548937i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −1.92432 | − | 2.22079i | −0.254883 | − | 0.294150i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −3.22648 | − | 7.06500i | −0.420051 | − | 0.919784i | −0.994838 | − | 0.101481i | \(-0.967642\pi\) |
0.574786 | − | 0.818304i | \(-0.305085\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −8.93334 | − | 5.74111i | −1.14380 | − | 0.735073i | −0.175402 | − | 0.984497i | \(-0.556122\pi\) |
−0.968394 | + | 0.249424i | \(0.919759\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −0.339954 | + | 0.0998195i | −0.0428302 | + | 0.0125761i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 2.66220 | + | 18.5160i | 0.330205 | + | 2.29663i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −4.51019 | − | 6.83068i | −0.551007 | − | 0.834500i | ||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −0.0221208 | − | 0.153854i | −0.00266303 | − | 0.0185218i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −9.64253 | + | 2.83130i | −1.14436 | + | 0.336014i | −0.798336 | − | 0.602212i | \(-0.794286\pi\) |
−0.346022 | + | 0.938226i | \(0.612468\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −1.96622 | − | 1.26361i | −0.230128 | − | 0.147894i | 0.420496 | − | 0.907295i | \(-0.361856\pi\) |
−0.650624 | + | 0.759400i | \(0.725493\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −3.92029 | − | 8.58425i | −0.452677 | − | 0.991223i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −0.273291 | − | 0.315395i | −0.0311444 | − | 0.0359426i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −3.74200 | + | 8.19384i | −0.421008 | + | 0.921879i | 0.573693 | + | 0.819070i | \(0.305510\pi\) |
−0.994701 | + | 0.102808i | \(0.967217\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −0.959493 | + | 0.281733i | −0.106610 | + | 0.0313036i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 10.9313 | − | 7.02512i | 1.19987 | − | 0.771107i | 0.220933 | − | 0.975289i | \(-0.429090\pi\) |
0.978933 | + | 0.204182i | \(0.0654534\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −11.1505 | + | 3.27408i | −1.20944 | + | 0.355124i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 6.65454 | − | 7.67975i | 0.713442 | − | 0.823355i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −3.15184 | − | 3.63741i | −0.334094 | − | 0.385565i | 0.563701 | − | 0.825979i | \(-0.309377\pi\) |
−0.897795 | + | 0.440414i | \(0.854832\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −1.67367 | − | 0.491435i | −0.175449 | − | 0.0515164i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −3.22869 | − | 0.948029i | −0.334800 | − | 0.0983061i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 4.63821 | + | 10.1563i | 0.475870 | + | 1.04201i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 1.62324 | 0.164815 | 0.0824075 | − | 0.996599i | \(-0.473739\pi\) | ||||
0.0824075 | + | 0.996599i | \(0.473739\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −0.771343 | − | 0.890177i | −0.0775229 | − | 0.0894662i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −2.15735 | + | 15.0047i | −0.214665 | + | 1.49302i | 0.542641 | + | 0.839965i | \(0.317424\pi\) |
−0.757306 | + | 0.653060i | \(0.773485\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 7.65969 | + | 16.7724i | 0.754731 | + | 1.65263i | 0.757672 | + | 0.652636i | \(0.226337\pi\) |
−0.00294037 | + | 0.999996i | \(0.500936\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 1.34622 | 0.131378 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −7.38961 | − | 4.74901i | −0.714381 | − | 0.459105i | 0.132297 | − | 0.991210i | \(-0.457765\pi\) |
−0.846678 | + | 0.532106i | \(0.821401\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 0.637789 | − | 1.39656i | 0.0610891 | − | 0.133766i | −0.876625 | − | 0.481174i | \(-0.840211\pi\) |
0.937714 | + | 0.347407i | \(0.112938\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 2.41035 | − | 2.78169i | 0.228780 | − | 0.264026i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −1.84619 | − | 1.18647i | −0.173675 | − | 0.111614i | 0.450915 | − | 0.892567i | \(-0.351098\pi\) |
−0.624590 | + | 0.780953i | \(0.714734\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −0.0840505 | + | 0.584584i | −0.00783775 | + | 0.0545127i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −4.72381 | − | 1.38704i | −0.436717 | − | 0.128232i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 0.154220 | − | 1.07263i | 0.0141374 | − | 0.0983274i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −3.99322 | + | 8.74394i | −0.363020 | + | 0.794904i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 2.98216 | − | 1.91651i | 0.268892 | − | 0.172806i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 2.39930 | + | 16.6875i | 0.214600 | + | 1.49257i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −0.783573 | − | 5.44987i | −0.0695309 | − | 0.483598i | −0.994599 | − | 0.103796i | \(-0.966901\pi\) |
0.925068 | − | 0.379802i | \(-0.124008\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 3.25564 | − | 2.09227i | 0.286643 | − | 0.184214i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 8.56859 | − | 9.88868i | 0.748641 | − | 0.863978i | −0.245795 | − | 0.969322i | \(-0.579049\pi\) |
0.994436 | + | 0.105344i | \(0.0335945\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −1.04113 | −0.0902778 | ||||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 3.79961 | 0.327019 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 4.77631 | − | 5.51215i | 0.408068 | − | 0.470935i | −0.514097 | − | 0.857732i | \(-0.671873\pi\) |
0.922165 | + | 0.386797i | \(0.126418\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 17.3993 | − | 11.1818i | 1.47579 | − | 0.948431i | 0.478256 | − | 0.878221i | \(-0.341269\pi\) |
0.997532 | − | 0.0702105i | \(-0.0223671\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −0.484772 | − | 3.37167i | −0.0408252 | − | 0.283946i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −0.825277 | − | 5.73993i | −0.0690131 | − | 0.479997i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −32.4814 | + | 20.8746i | −2.69744 | + | 1.73354i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 2.85576 | − | 6.25324i | 0.235539 | − | 0.515758i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −3.19812 | + | 22.2434i | −0.262000 | + | 1.82225i | 0.255775 | + | 0.966736i | \(0.417669\pi\) |
−0.517775 | + | 0.855517i | \(0.673240\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −0.482637 | − | 0.141715i | −0.0392765 | − | 0.0115326i | 0.262035 | − | 0.965058i | \(-0.415606\pi\) |
−0.301312 | + | 0.953526i | \(0.597424\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 0.435275 | − | 3.02740i | 0.0351899 | − | 0.244751i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 10.7560 | + | 6.91246i | 0.863943 | + | 0.555222i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 10.1380 | − | 11.6999i | 0.809104 | − | 0.933756i | −0.189740 | − | 0.981834i | \(-0.560764\pi\) |
0.998844 | + | 0.0480786i | \(0.0153098\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −3.73820 | + | 8.18552i | −0.296459 | + | 0.649154i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −0.0463293 | − | 0.0297740i | −0.00365126 | − | 0.00234652i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 12.8084 | 1.00323 | 0.501616 | − | 0.865090i | \(-0.332739\pi\) | ||||
0.501616 | + | 0.865090i | \(0.332739\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 1.85917 | + | 4.07102i | 0.144737 | + | 0.316929i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −1.20015 | + | 8.34719i | −0.0928700 | + | 0.645925i | 0.889215 | + | 0.457489i | \(0.151251\pi\) |
−0.982085 | + | 0.188436i | \(0.939658\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −7.35950 | − | 8.49332i | −0.566116 | − | 0.653332i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −2.93852 | −0.224714 | ||||||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 2.72820 | + | 5.97394i | 0.207422 | + | 0.454190i | 0.984539 | − | 0.175166i | \(-0.0560461\pi\) |
−0.777117 | + | 0.629356i | \(0.783319\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −3.20816 | − | 0.942002i | −0.242514 | − | 0.0712086i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −7.45226 | − | 2.18818i | −0.560146 | − | 0.164474i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −1.71515 | − | 1.97939i | −0.128196 | − | 0.147946i | 0.688022 | − | 0.725689i | \(-0.258479\pi\) |
−0.816219 | + | 0.577743i | \(0.803934\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 4.25971 | − | 4.91597i | 0.316622 | − | 0.365401i | −0.575022 | − | 0.818138i | \(-0.695007\pi\) |
0.891644 | + | 0.452736i | \(0.149552\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −10.1889 | + | 2.99174i | −0.753187 | + | 0.221156i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −11.7651 | + | 7.56099i | −0.864989 | + | 0.555895i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 3.45664 | − | 1.01496i | 0.252774 | − | 0.0742212i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −0.147184 | + | 0.322288i | −0.0107061 | + | 0.0234430i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 3.84249 | + | 4.43447i | 0.278033 | + | 0.320867i | 0.877541 | − | 0.479502i | \(-0.159183\pi\) |
−0.599508 | + | 0.800369i | \(0.704637\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 9.68025 | + | 21.1968i | 0.696800 | + | 1.52578i | 0.843809 | + | 0.536644i | \(0.180308\pi\) |
−0.147009 | + | 0.989135i | \(0.546965\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 15.7368 | + | 10.1134i | 1.12694 | + | 0.724239i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −5.60867 | + | 1.64685i | −0.399601 | + | 0.117334i | −0.475357 | − | 0.879793i | \(-0.657681\pi\) |
0.0757560 | + | 0.997126i | \(0.475863\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −0.136409 | − | 0.948747i | −0.00966979 | − | 0.0672549i | 0.984415 | − | 0.175860i | \(-0.0562706\pi\) |
−0.994085 | + | 0.108605i | \(0.965362\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −8.11583 | − | 1.06457i | −0.572446 | − | 0.0750890i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −0.512386 | − | 3.56372i | −0.0359625 | − | 0.250124i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −12.9236 | + | 3.79472i | −0.902625 | + | 0.265035i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −0.130761 | − | 0.0840349i | −0.00908850 | − | 0.00584083i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −1.43784 | − | 3.14842i | −0.0994573 | − | 0.217781i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −7.94880 | − | 9.17340i | −0.547218 | − | 0.631523i | 0.413015 | − | 0.910724i | \(-0.364476\pi\) |
−0.960233 | + | 0.279201i | \(0.909930\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −4.17476 | + | 9.14145i | −0.286050 | + | 0.626362i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −14.1088 | + | 4.14272i | −0.962212 | + | 0.282531i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −1.00297 | + | 0.644572i | −0.0680863 | + | 0.0437564i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −2.24257 | + | 0.658478i | −0.151539 | + | 0.0444958i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 9.86082 | − | 11.3800i | 0.663310 | − | 0.765501i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −13.9501 | − | 16.0992i | −0.934166 | − | 1.07809i | −0.996791 | − | 0.0800480i | \(-0.974493\pi\) |
0.0626249 | − | 0.998037i | \(-0.480053\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −9.05479 | − | 2.65873i | −0.603653 | − | 0.177248i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 4.47940 | + | 1.31527i | 0.297308 | + | 0.0872975i | 0.426985 | − | 0.904259i | \(-0.359576\pi\) |
−0.129677 | + | 0.991556i | \(0.541394\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −0.665416 | − | 1.45706i | −0.0439719 | − | 0.0962851i | 0.886371 | − | 0.462975i | \(-0.153218\pi\) |
−0.930343 | + | 0.366690i | \(0.880491\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −0.417327 | −0.0274581 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 12.5886 | + | 14.5281i | 0.824709 | + | 0.951764i | 0.999460 | − | 0.0328480i | \(-0.0104577\pi\) |
−0.174752 | + | 0.984613i | \(0.555912\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −1.84195 | + | 12.8110i | −0.120155 | + | 0.835699i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 3.74200 | + | 8.19384i | 0.243069 | + | 0.532247i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −12.1902 | −0.788519 | −0.394259 | − | 0.918999i | \(-0.628999\pi\) | ||||
−0.394259 | + | 0.918999i | \(0.628999\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 2.56763 | + | 1.65012i | 0.165396 | + | 0.106293i | 0.620720 | − | 0.784032i | \(-0.286840\pi\) |
−0.455324 | + | 0.890326i | \(0.650477\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −0.415415 | + | 0.909632i | −0.0266489 | + | 0.0583529i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −17.1052 | + | 19.7404i | −1.09281 | + | 1.26117i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −12.1704 | − | 7.82147i | −0.774387 | − | 0.497668i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 1.84925 | − | 12.8618i | 0.117191 | − | 0.815083i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −26.2792 | − | 7.71628i | −1.65873 | − | 0.487047i | −0.687698 | − | 0.725997i | \(-0.741379\pi\) |
−0.971032 | + | 0.238950i | \(0.923197\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 0.0260555 | − | 0.181220i | 0.00163810 | − | 0.0113932i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −4.82764 | + | 10.5711i | −0.302318 | + | 0.661985i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −20.7090 | + | 13.3088i | −1.29179 | + | 0.830182i | −0.992293 | − | 0.123915i | \(-0.960455\pi\) |
−0.299496 | + | 0.954098i | \(0.596819\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −0.185592 | − | 1.29082i | −0.0115321 | − | 0.0802076i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −1.44617 | − | 10.0583i | −0.0895157 | − | 0.622595i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −4.65896 | + | 2.99413i | −0.287284 | + | 0.184626i | −0.676343 | − | 0.736587i | \(-0.736436\pi\) |
0.389059 | + | 0.921213i | \(0.372800\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 22.3908 | − | 25.8403i | 1.37545 | − | 1.58736i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −4.81299 | −0.294550 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −16.3292 | −0.995609 | −0.497804 | − | 0.867289i | \(-0.665860\pi\) | ||||
−0.497804 | + | 0.867289i | \(0.665860\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −6.16037 | + | 7.10945i | −0.374216 | + | 0.431868i | −0.911352 | − | 0.411627i | \(-0.864961\pi\) |
0.537136 | + | 0.843495i | \(0.319506\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −1.46743 | + | 0.943057i | −0.0888126 | + | 0.0570764i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −1.58192 | − | 11.0025i | −0.0953935 | − | 0.663477i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 0.0346367 | + | 0.240903i | 0.00208112 | + | 0.0144745i | 0.990836 | − | 0.135074i | \(-0.0431272\pi\) |
−0.988754 | + | 0.149548i | \(0.952218\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −2.83082 | + | 1.81925i | −0.169477 | + | 0.108916i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 2.95729 | − | 6.47555i | 0.176417 | − | 0.386299i | −0.800681 | − | 0.599092i | \(-0.795529\pi\) |
0.977097 | + | 0.212792i | \(0.0682558\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −0.805306 | + | 5.60103i | −0.0478705 | + | 0.332947i | 0.951787 | + | 0.306761i | \(0.0992452\pi\) |
−0.999657 | + | 0.0261857i | \(0.991664\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 10.7130 | + | 3.14561i | 0.634582 | + | 0.186330i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 0.178744 | − | 1.24319i | 0.0105509 | − | 0.0733833i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −6.43170 | − | 4.13340i | −0.378335 | − | 0.243141i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 1.06300 | − | 1.22676i | 0.0623139 | − | 0.0719141i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −0.531981 | + | 1.16488i | −0.0310787 | + | 0.0680528i | −0.924535 | − | 0.381098i | \(-0.875546\pi\) |
0.893456 | + | 0.449151i | \(0.148273\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 24.8263 | + | 15.9549i | 1.44544 | + | 0.928931i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −1.17787 | −0.0683472 | ||||||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −0.317895 | − | 0.696093i | −0.0183843 | − | 0.0402561i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0.195136 | − | 1.35720i | 0.0112475 | − | 0.0782278i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 9.92704 | + | 11.4564i | 0.570294 | + | 0.658154i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 40.3484 | 2.31034 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −10.3712 | − | 22.7098i | −0.591916 | − | 1.29611i | −0.934278 | − | 0.356547i | \(-0.883954\pi\) |
0.342362 | − | 0.939568i | \(-0.388773\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 17.6917 | + | 5.19477i | 1.00645 | + | 0.295520i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 11.9827 | + | 3.51845i | 0.679478 | + | 0.199513i | 0.603219 | − | 0.797575i | \(-0.293884\pi\) |
0.0762587 | + | 0.997088i | \(0.475703\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 9.97368 | + | 11.5102i | 0.563746 | + | 0.650597i | 0.964030 | − | 0.265794i | \(-0.0856340\pi\) |
−0.400284 | + | 0.916391i | \(0.631089\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 0.881590 | − | 1.01741i | 0.0496719 | − | 0.0573245i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 5.74303 | − | 1.68630i | 0.322560 | − | 0.0947123i | −0.116444 | − | 0.993197i | \(-0.537149\pi\) |
0.439004 | + | 0.898485i | \(0.355331\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 10.0692 | − | 6.47108i | 0.563767 | − | 0.362311i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −8.42823 | + | 2.47475i | −0.470418 | + | 0.138127i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 3.73357 | − | 8.17538i | 0.207741 | − | 0.454890i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −30.4254 | − | 35.1128i | −1.68770 | − | 1.94771i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −0.637789 | − | 1.39656i | −0.0352698 | − | 0.0772301i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −1.01530 | − | 0.652491i | −0.0559751 | − | 0.0359730i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 26.1610 | − | 7.68156i | 1.43794 | − | 0.422217i | 0.532404 | − | 0.846490i | \(-0.321289\pi\) |
0.905534 | + | 0.424273i | \(0.139470\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −0.523818 | − | 3.64324i | −0.0287051 | − | 0.199648i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 28.4483 | + | 12.5689i | 1.55430 | + | 0.686712i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 4.21333 | + | 29.3044i | 0.229515 | + | 1.59631i | 0.700159 | + | 0.713987i | \(0.253113\pi\) |
−0.470644 | + | 0.882323i | \(0.655978\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −2.10567 | + | 0.618281i | −0.114364 | + | 0.0335804i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −3.33434 | − | 2.14285i | −0.180565 | − | 0.116042i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −2.04210 | − | 4.47157i | −0.110263 | − | 0.241442i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 0.386758 | + | 0.446342i | 0.0208223 | + | 0.0240303i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 10.3942 | − | 22.7601i | 0.557990 | − | 1.22183i | −0.394960 | − | 0.918698i | \(-0.629241\pi\) |
0.952950 | − | 0.303129i | \(-0.0980313\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 17.8085 | − | 5.22905i | 0.953268 | − | 0.279905i | 0.232121 | − | 0.972687i | \(-0.425433\pi\) |
0.721147 | + | 0.692782i | \(0.243615\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −4.14169 | + | 2.66170i | −0.221067 | + | 0.142071i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 19.4090 | − | 5.69900i | 1.03304 | − | 0.303327i | 0.279092 | − | 0.960264i | \(-0.409967\pi\) |
0.753945 | + | 0.656937i | \(0.228148\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 25.0056 | − | 28.8580i | 1.32716 | − | 1.53162i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −0.709644 | − | 0.818972i | −0.0375583 | − | 0.0433446i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −32.4753 | − | 9.53560i | −1.71398 | − | 0.503269i | −0.730288 | − | 0.683139i | \(-0.760614\pi\) |
−0.983690 | + | 0.179870i | \(0.942432\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 9.94524 | + | 2.92018i | 0.523433 | + | 0.153694i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 3.99322 | + | 8.74394i | 0.209590 | + | 0.458938i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 8.88063 | 0.464833 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 17.3088 | + | 19.9754i | 0.903510 | + | 1.04271i | 0.998882 | + | 0.0472640i | \(0.0150502\pi\) |
−0.0953729 | + | 0.995442i | \(0.530404\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 0.504491 | − | 3.50881i | 0.0262628 | − | 0.182661i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 1.32447 | + | 2.90018i | 0.0687629 | + | 0.150570i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −14.2728 | −0.739017 | −0.369508 | − | 0.929227i | \(-0.620474\pi\) | ||||
−0.369508 | + | 0.929227i | \(0.620474\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 14.1828 | + | 9.11471i | 0.732395 | + | 0.470682i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 20.7827 | − | 45.5078i | 1.07036 | − | 2.34377i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −23.2036 | + | 26.7784i | −1.19189 | + | 1.37551i | −0.282659 | + | 0.959221i | \(0.591216\pi\) |
−0.909231 | + | 0.416293i | \(0.863329\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −4.63187 | − | 2.97672i | −0.237298 | − | 0.152502i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 2.62435 | − | 18.2527i | 0.134098 | − | 0.932672i | −0.806036 | − | 0.591867i | \(-0.798391\pi\) |
0.940134 | − | 0.340805i | \(-0.110700\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 1.52145 | + | 0.446738i | 0.0775403 | + | 0.0227679i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 0.550756 | − | 3.83059i | 0.0279965 | − | 0.194720i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 14.2617 | − | 31.2288i | 0.723098 | − | 1.58336i | −0.0864137 | − | 0.996259i | \(-0.527541\pi\) |
0.809512 | − | 0.587104i | \(-0.199732\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 0.399936 | − | 0.257023i | 0.0202256 | − | 0.0129982i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −1.86213 | − | 12.9514i | −0.0939321 | − | 0.653312i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −4.87092 | − | 33.8780i | −0.245083 | − | 1.70459i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 2.48859 | − | 1.59932i | 0.124899 | − | 0.0802675i | −0.476700 | − | 0.879066i | \(-0.658167\pi\) |
0.601598 | + | 0.798799i | \(0.294531\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −0.681798 | + | 0.786837i | −0.0341326 | + | 0.0393911i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −31.3647 | −1.56628 | −0.783140 | − | 0.621845i | \(-0.786383\pi\) | ||||
−0.783140 | + | 0.621845i | \(0.786383\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −16.5667 | −0.825245 | ||||||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 2.48822 | − | 2.87156i | 0.123640 | − | 0.142689i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 3.64717 | − | 2.34389i | 0.180783 | − | 0.116182i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 1.55104 | + | 10.7877i | 0.0766939 | + | 0.533418i | 0.991559 | + | 0.129658i | \(0.0413879\pi\) |
−0.914865 | + | 0.403760i | \(0.867703\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −1.03799 | − | 7.21939i | −0.0512003 | − | 0.356106i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −2.31500 | + | 1.48776i | −0.113914 | + | 0.0732080i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −20.5100 | + | 44.9107i | −1.00680 | + | 2.20458i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 2.94344 | − | 20.4720i | 0.144141 | − | 1.00252i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 8.88773 | + | 2.60967i | 0.434194 | + | 0.127491i | 0.491523 | − | 0.870864i | \(-0.336440\pi\) |
−0.0573292 | + | 0.998355i | \(0.518258\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −0.172086 | + | 1.19688i | −0.00838696 | + | 0.0583326i | −0.993585 | − | 0.113087i | \(-0.963926\pi\) |
0.985198 | + | 0.171419i | \(0.0548353\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −2.86559 | − | 1.84161i | −0.139330 | − | 0.0895419i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 18.9016 | − | 21.8136i | 0.916862 | − | 1.05812i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −1.56296 | + | 3.42240i | −0.0756368 | + | 0.165622i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −4.87839 | − | 3.13515i | −0.235531 | − | 0.151366i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 17.6289 | 0.849156 | 0.424578 | − | 0.905391i | \(-0.360423\pi\) | ||||
0.424578 | + | 0.905391i | \(0.360423\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 11.6413 | + | 25.4909i | 0.559444 | + | 1.22501i | 0.952230 | + | 0.305382i | \(0.0987842\pi\) |
−0.392785 | + | 0.919630i | \(0.628488\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −5.49488 | + | 38.2178i | −0.263460 | + | 1.83240i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −0.299108 | − | 0.345189i | −0.0143083 | − | 0.0165126i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 26.4401 | 1.26192 | 0.630959 | − | 0.775816i | \(-0.282661\pi\) | ||||
0.630959 | + | 0.775816i | \(0.282661\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −2.85576 | − | 6.25324i | −0.135988 | − | 0.297773i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −0.325591 | − | 0.0956022i | −0.0154693 | − | 0.00454220i | 0.273989 | − | 0.961733i | \(-0.411657\pi\) |
−0.289458 | + | 0.957191i | \(0.593475\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 17.5467 | + | 5.15218i | 0.831794 | + | 0.244237i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 14.7161 | + | 16.9833i | 0.696049 | + | 0.803284i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 5.46323 | − | 6.30490i | 0.257826 | − | 0.297547i | −0.612049 | − | 0.790820i | \(-0.709654\pi\) |
0.869874 | + | 0.493273i | \(0.164200\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 4.00630 | − | 1.17636i | 0.188649 | − | 0.0553925i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −0.423161 | + | 0.271949i | −0.0198819 | + | 0.0127773i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 6.35931 | − | 1.86726i | 0.298129 | − | 0.0875386i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −6.74236 | + | 14.7637i | −0.315394 | + | 0.690617i | −0.999239 | − | 0.0390106i | \(-0.987579\pi\) |
0.683845 | + | 0.729628i | \(0.260307\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −2.00291 | − | 2.31149i | −0.0934880 | − | 0.107891i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 1.21962 | + | 2.67060i | 0.0568034 | + | 0.124382i | 0.935905 | − | 0.352252i | \(-0.114584\pi\) |
−0.879102 | + | 0.476634i | \(0.841857\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −12.0853 | − | 7.76675i | −0.561652 | − | 0.360952i | 0.228802 | − | 0.973473i | \(-0.426519\pi\) |
−0.790454 | + | 0.612521i | \(0.790155\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 12.2678 | − | 3.60214i | 0.568904 | − | 0.167045i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 3.48857 | + | 24.2635i | 0.161432 | + | 1.12278i | 0.895938 | + | 0.444180i | \(0.146505\pi\) |
−0.734506 | + | 0.678602i | \(0.762586\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −2.16810 | + | 1.92614i | −0.100113 | + | 0.0889411i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −2.20321 | − | 15.3236i | −0.101518 | − | 0.706076i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 4.37371 | − | 1.28424i | 0.201103 | − | 0.0590492i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −23.3288 | − | 14.9925i | −1.07040 | − | 0.687903i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 3.73820 | + | 8.18552i | 0.171160 | + | 0.374789i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −26.7115 | − | 30.8267i | −1.22048 | − | 1.40851i | −0.884435 | − | 0.466663i | \(-0.845456\pi\) |
−0.336045 | − | 0.941846i | \(-0.609089\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 7.52772 | − | 16.4834i | 0.343234 | − | 0.751578i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −0.0528410 | + | 0.0155155i | −0.00240435 | + | 0.000705980i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −5.18858 | + | 3.33450i | −0.235601 | + | 0.151412i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −0.262833 | + | 0.0771748i | −0.0119101 | + | 0.00349712i | −0.287682 | − | 0.957726i | \(-0.592885\pi\) |
0.275772 | + | 0.961223i | \(0.411066\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 8.38772 | − | 9.67995i | 0.379306 | − | 0.437742i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −8.01760 | − | 9.25281i | −0.361829 | − | 0.417573i | 0.545422 | − | 0.838161i | \(-0.316369\pi\) |
−0.907252 | + | 0.420588i | \(0.861824\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 29.8211 | + | 8.75627i | 1.34308 | + | 0.394363i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 4.29418 | + | 1.26088i | 0.193009 | + | 0.0566725i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 1.47914 | + | 3.23887i | 0.0663486 | + | 0.145283i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −19.5844 | −0.876718 | −0.438359 | − | 0.898800i | \(-0.644440\pi\) | ||||
−0.438359 | + | 0.898800i | \(0.644440\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 5.52246 | + | 6.37326i | 0.246725 | + | 0.284736i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −4.56388 | + | 31.7425i | −0.203494 | + | 1.41533i | 0.590321 | + | 0.807169i | \(0.299001\pi\) |
−0.793814 | + | 0.608160i | \(0.791908\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −23.9272 | − | 52.3933i | −1.06475 | − | 2.33147i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −11.2383 | −0.499109 | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −6.22712 | − | 4.00193i | −0.276012 | − | 0.177382i | 0.395310 | − | 0.918548i | \(-0.370637\pi\) |
−0.671322 | + | 0.741165i | \(0.734273\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −0.344005 | + | 0.753266i | −0.0152179 | + | 0.0333225i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −1.92432 | + | 2.22079i | −0.0849609 | + | 0.0980501i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −58.9380 | − | 37.8771i | −2.59712 | − | 1.66907i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 0.571001 | − | 3.97140i | 0.0251126 | − | 0.174662i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 6.30139 | + | 1.85026i | 0.276600 | + | 0.0812172i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −0.426051 | + | 2.96325i | −0.0186656 | + | 0.129822i | −0.997024 | − | 0.0770974i | \(-0.975435\pi\) |
0.978358 | + | 0.206920i | \(0.0663439\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −9.87342 | + | 21.6198i | −0.431735 | + | 0.945367i | 0.561307 | + | 0.827607i | \(0.310299\pi\) |
−0.993042 | + | 0.117760i | \(0.962429\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −2.81282 | + | 1.80769i | −0.122761 | + | 0.0788940i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −1.46470 | − | 10.1872i | −0.0638032 | − | 0.443761i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 3.26980 | + | 22.7420i | 0.142165 | + | 0.988782i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −6.53391 | + | 4.19909i | −0.283548 | + | 0.182225i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 11.4289 | − | 13.1896i | 0.495039 | − | 0.571306i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 33.3760 | 1.44297 | ||||||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −2.61910 | −0.113023 | ||||||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 5.30257 | − | 6.11950i | 0.228398 | − | 0.263585i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −14.9170 | + | 9.58656i | −0.641331 | + | 0.412158i | −0.820489 | − | 0.571662i | \(-0.806299\pi\) |
0.179158 | + | 0.983820i | \(0.442663\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −0.925724 | − | 6.43855i | −0.0397266 | − | 0.276305i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 0.830203 | + | 5.77419i | 0.0355620 | + | 0.247339i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −34.1543 | + | 21.9496i | −1.46033 | + | 0.938498i | −0.461655 | + | 0.887060i | \(0.652744\pi\) |
−0.998676 | + | 0.0514381i | \(0.983620\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −4.41132 | + | 9.65945i | −0.188271 | + | 0.412255i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 4.24960 | − | 29.5566i | 0.181039 | − | 1.25915i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 3.06226 | + | 0.899160i | 0.130220 | + | 0.0382362i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −1.99031 | + | 13.8429i | −0.0844838 | + | 0.587598i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −19.6051 | − | 12.5994i | −0.830693 | − | 0.533854i | 0.0548052 | − | 0.998497i | \(-0.482546\pi\) |
−0.885498 | + | 0.464643i | \(0.846183\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 12.4770 | − | 14.3992i | 0.527719 | − | 0.609021i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 1.49656 | − | 3.27701i | 0.0631848 | − | 0.138355i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 10.6220 | + | 6.82634i | 0.447664 | + | 0.287696i | 0.744985 | − | 0.667082i | \(-0.232457\pi\) |
−0.297321 | + | 0.954778i | \(0.596093\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 8.33850 | 0.350803 | ||||||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 0.147184 | + | 0.322288i | 0.00618114 | + | 0.0135348i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −6.32134 | + | 43.9659i | −0.265004 | + | 1.84314i | 0.228678 | + | 0.973502i | \(0.426560\pi\) |
−0.493682 | + | 0.869643i | \(0.664349\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 5.84462 | + | 6.74505i | 0.244590 | + | 0.282271i | 0.864749 | − | 0.502204i | \(-0.167478\pi\) |
−0.620159 | + | 0.784476i | \(0.712932\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 5.86764 | 0.245124 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −0.609353 | − | 1.33430i | −0.0254118 | − | 0.0556441i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −42.8229 | − | 12.5739i | −1.78274 | − | 0.523459i | −0.787106 | − | 0.616817i | \(-0.788422\pi\) |
−0.995633 | + | 0.0933579i | \(0.970240\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 22.3587 | + | 6.56510i | 0.929195 | + | 0.272836i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −3.01489 | − | 3.47937i | −0.125079 | − | 0.144349i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −6.94110 | + | 8.01045i | −0.287471 | + | 0.331759i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 17.9487 | − | 5.27020i | 0.742086 | − | 0.217896i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −12.2014 | + | 7.84136i | −0.503606 | + | 0.323648i | −0.767657 | − | 0.640861i | \(-0.778578\pi\) |
0.264051 | + | 0.964509i | \(0.414941\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −9.48758 | + | 2.78580i | −0.390929 | + | 0.114787i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −2.42829 | + | 5.31721i | −0.0998865 | + | 0.218721i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 9.23657 | + | 10.6596i | 0.379301 | + | 0.437736i | 0.913013 | − | 0.407930i | \(-0.133749\pi\) |
−0.533713 | + | 0.845666i | \(0.679204\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 1.71046 | + | 3.74538i | 0.0701220 | + | 0.153546i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −0.806344 | − | 0.518206i | −0.0330015 | − | 0.0212088i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 31.6690 | − | 9.29886i | 1.29396 | − | 0.379941i | 0.438931 | − | 0.898521i | \(-0.355357\pi\) |
0.855030 | + | 0.518579i | \(0.173539\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 1.84726 | + | 12.8480i | 0.0753515 | + | 0.524081i | 0.992181 | + | 0.124803i | \(0.0398300\pi\) |
−0.916830 | + | 0.399278i | \(0.869261\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −6.11929 | + | 5.43639i | −0.249197 | + | 0.221387i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −5.19794 | − | 36.1524i | −0.211326 | − | 1.46981i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 36.0732 | − | 10.5920i | 1.46417 | − | 0.429918i | 0.549968 | − | 0.835186i | \(-0.314640\pi\) |
0.914198 | + | 0.405268i | \(0.132822\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −3.02883 | − | 1.94651i | −0.122734 | − | 0.0788765i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −6.96660 | − | 15.2547i | −0.281838 | − | 0.617140i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 22.4269 | + | 25.8820i | 0.905813 | + | 1.04536i | 0.998765 | + | 0.0496934i | \(0.0158244\pi\) |
−0.0929514 | + | 0.995671i | \(0.529630\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −5.59532 | + | 12.2520i | −0.225625 | + | 0.494050i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 12.2630 | − | 3.60074i | 0.493689 | − | 0.144960i | −0.0254051 | − | 0.999677i | \(-0.508088\pi\) |
0.519094 | + | 0.854717i | \(0.326269\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 23.7216 | − | 15.2450i | 0.953453 | − | 0.612747i | 0.0312738 | − | 0.999511i | \(-0.490044\pi\) |
0.922179 | + | 0.386764i | \(0.126407\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −0.149139 | + | 0.0437913i | −0.00598476 | + | 0.00175728i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −1.11671 | + | 1.28876i | −0.0447402 | + | 0.0516329i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −11.0493 | − | 12.7516i | −0.441971 | − | 0.510062i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −3.32100 | − | 0.975134i | −0.132628 | − | 0.0389431i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 10.8015 | + | 3.17162i | 0.430685 | + | 0.126461i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −0.481429 | − | 1.05418i | −0.0191654 | − | 0.0419663i | 0.899807 | − | 0.436288i | \(-0.143707\pi\) |
−0.918973 | + | 0.394321i | \(0.870980\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −12.1381 | −0.482448 | ||||||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 13.6999 | + | 15.8105i | 0.543664 | + | 0.627422i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 4.81659 | − | 33.5001i | 0.190840 | − | 1.32732i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 4.17476 | + | 9.14145i | 0.165151 | + | 0.361630i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −24.6079 | −0.971952 | −0.485976 | − | 0.873972i | \(-0.661536\pi\) | ||||
−0.485976 | + | 0.873972i | \(0.661536\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 40.1111 | + | 25.7779i | 1.58183 | + | 1.01658i | 0.975126 | + | 0.221651i | \(0.0711447\pi\) |
0.606703 | + | 0.794928i | \(0.292492\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −6.10844 | + | 13.3756i | −0.240520 | + | 0.526665i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 24.7607 | − | 28.5754i | 0.973444 | − | 1.12341i | −0.0188892 | − | 0.999822i | \(-0.506013\pi\) |
0.992333 | − | 0.123592i | \(-0.0394416\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −7.69612 | − | 4.94600i | −0.302099 | − | 0.194147i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −0.169673 | + | 1.18010i | −0.00665001 | + | 0.0462519i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −15.3387 | − | 4.50386i | −0.600251 | − | 0.176250i | −0.0325305 | − | 0.999471i | \(-0.510357\pi\) |
−0.567721 | + | 0.823221i | \(0.692175\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −7.07538 | + | 49.2103i | −0.276458 | + | 1.92281i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −0.970927 | + | 2.12603i | −0.0378795 | + | 0.0829445i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −6.47946 | + | 4.16409i | −0.252404 | + | 0.162210i | −0.660725 | − | 0.750628i | \(-0.729751\pi\) |
0.408321 | + | 0.912839i | \(0.366115\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −1.89605 | − | 13.1873i | −0.0737477 | − | 0.512926i | −0.992893 | − | 0.119008i | \(-0.962028\pi\) |
0.919146 | − | 0.393918i | \(-0.128881\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −2.14296 | − | 14.9046i | −0.0832257 | − | 0.578847i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 3.32792 | − | 2.13873i | 0.129051 | − | 0.0829362i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 1.03435 | − | 1.19371i | 0.0400503 | − | 0.0462205i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −21.3024 | −0.823597 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −12.5079 | −0.482863 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 8.51241 | − | 9.82384i | 0.328129 | − | 0.378681i | −0.567583 | − | 0.823316i | \(-0.692121\pi\) |
0.895712 | + | 0.444635i | \(0.146667\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −7.93896 | + | 5.10206i | −0.305571 | + | 0.196378i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −0.361503 | − | 2.51431i | −0.0138937 | − | 0.0966327i | 0.981695 | − | 0.190462i | \(-0.0609985\pi\) |
−0.995588 | + | 0.0938288i | \(0.970089\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −0.0818485 | − | 0.569269i | −0.00314106 | − | 0.0218465i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 3.92740 | − | 2.52398i | 0.150498 | − | 0.0967193i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −8.28073 | + | 18.1323i | −0.316853 | + | 0.693812i | −0.999311 | − | 0.0371131i | \(-0.988184\pi\) |
0.682458 | + | 0.730925i | \(0.260911\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −3.94396 | + | 27.4309i | −0.150691 | + | 1.04808i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −1.53693 | − | 0.451282i | −0.0586374 | − | 0.0172175i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −6.30495 | + | 43.8519i | −0.240199 | + | 1.67062i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −33.6260 | − | 21.6101i | −1.27919 | − | 0.822089i | −0.288407 | − | 0.957508i | \(-0.593125\pi\) |
−0.990788 | + | 0.135419i | \(0.956762\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −0.273291 | + | 0.315395i | −0.0103815 | + | 0.0119809i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −32.6457 | + | 71.4841i | −1.23832 | + | 2.71155i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 9.12102 | + | 5.86172i | 0.345483 | + | 0.222029i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 19.2234 | 0.727095 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 0.768533 | + | 1.68285i | 0.0290271 | + | 0.0635604i | 0.923590 | − | 0.383381i | \(-0.125240\pi\) |
−0.894563 | + | 0.446942i | \(0.852513\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 1.53925 | − | 10.7057i | 0.0580539 | − | 0.403774i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 8.47571 | + | 9.78149i | 0.319214 | + | 0.368392i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 5.37092 | 0.201994 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 11.7210 | + | 25.6655i | 0.440193 | + | 0.963888i | 0.991563 | + | 0.129627i | \(0.0413779\pi\) |
−0.551370 | + | 0.834261i | \(0.685895\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 8.64298 | + | 2.53781i | 0.324137 | + | 0.0951752i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −0.501854 | − | 0.147358i | −0.0187946 | − | 0.00551858i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 14.4290 | + | 16.6520i | 0.539616 | + | 0.622750i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −7.98289 | + | 9.21274i | −0.298126 | + | 0.344056i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −27.3864 | + | 8.04136i | −1.02134 | + | 0.299892i | −0.749184 | − | 0.662361i | \(-0.769554\pi\) |
−0.272154 | + | 0.962254i | \(0.587736\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 5.49584 | − | 3.53196i | 0.204676 | − | 0.131537i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 2.92852 | − | 0.859891i | 0.108913 | − | 0.0319797i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 39.8371 | − | 87.2311i | 1.47951 | − | 3.23968i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −21.6009 | − | 24.9287i | −0.801131 | − | 0.924555i | 0.197311 | − | 0.980341i | \(-0.436779\pi\) |
−0.998443 | + | 0.0557859i | \(0.982234\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 0.415415 | + | 0.909632i | 0.0153857 | + | 0.0336901i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 9.95747 | + | 6.39928i | 0.368290 | + | 0.236686i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −13.6055 | + | 3.99494i | −0.502531 | + | 0.147557i | −0.523166 | − | 0.852231i | \(-0.675249\pi\) |
0.0206350 | + | 0.999787i | \(0.493431\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 3.71731 | + | 25.8544i | 0.137115 | + | 0.953656i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −8.81892 | − | 3.89634i | −0.324849 | − | 0.143523i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 0.500901 | + | 3.48385i | 0.0184260 | + | 0.128155i | 0.996958 | − | 0.0779387i | \(-0.0248338\pi\) |
−0.978532 | + | 0.206094i | \(0.933925\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −13.8810 | + | 4.07584i | −0.509932 | + | 0.149730i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 18.6088 | + | 11.9592i | 0.682691 | + | 0.438739i | 0.835481 | − | 0.549520i | \(-0.185189\pi\) |
−0.152790 | + | 0.988259i | \(0.548826\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −35.4704 | − | 77.6694i | −1.29954 | − | 2.84559i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −8.50930 | − | 9.82026i | −0.311339 | − | 0.359304i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −1.29287 | + | 2.83099i | −0.0472405 | + | 0.103442i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −41.9740 | + | 12.3247i | −1.53165 | + | 0.449734i | −0.935556 | − | 0.353179i | \(-0.885101\pi\) |
−0.596096 | + | 0.802913i | \(0.703282\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −23.0408 | + | 14.8074i | −0.839653 | + | 0.539613i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 1.83383 | − | 0.538462i | 0.0667401 | − | 0.0195967i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 15.3995 | − | 17.7720i | 0.559705 | − | 0.645934i | −0.403411 | − | 0.915019i | \(-0.632176\pi\) |
0.963117 | + | 0.269084i | \(0.0867211\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −0.119894 | − | 0.138365i | −0.00435188 | − | 0.00502234i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −34.9472 | − | 10.2614i | −1.26683 | − | 0.371976i | −0.421801 | − | 0.906689i | \(-0.638602\pi\) |
−0.845034 | + | 0.534712i | \(0.820420\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −0.521933 | − | 0.153253i | −0.0188952 | − | 0.00554814i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 4.82764 | + | 10.5711i | 0.174544 | + | 0.382197i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −38.2382 | −1.38070 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −0.204041 | − | 0.235476i | −0.00735792 | − | 0.00849150i | 0.752059 | − | 0.659096i | \(-0.229061\pi\) |
−0.759417 | + | 0.650605i | \(0.774516\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −3.50333 | + | 24.3662i | −0.126169 | + | 0.877528i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 21.4537 | + | 46.9770i | 0.771635 | + | 1.68964i | 0.723021 | + | 0.690826i | \(0.242753\pi\) |
0.0486139 | + | 0.998818i | \(0.484520\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −31.7557 | −1.14070 | ||||||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −1.09707 | − | 0.705046i | −0.0393573 | − | 0.0252934i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 4.32727 | − | 9.47541i | 0.155041 | − | 0.339492i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −7.75170 | + | 8.94594i | −0.277378 | + | 0.320111i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −8.54862 | − | 5.49386i | −0.305503 | − | 0.196335i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −8.37134 | + | 58.2239i | −0.298786 | + | 2.07810i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 42.5651 | + | 12.4983i | 1.51728 | + | 0.445515i | 0.931131 | − | 0.364686i | \(-0.118824\pi\) |
0.586153 | + | 0.810200i | \(0.300642\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −0.788156 | + | 5.48175i | −0.0280591 | + | 0.195155i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −0.323005 | + | 0.707282i | −0.0114847 | + | 0.0251481i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −43.9809 | + | 28.2648i | −1.56181 | + | 1.00371i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −4.86598 | − | 33.8436i | −0.172578 | − | 1.20031i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −2.84183 | − | 19.7653i | −0.100663 | − | 0.700124i | −0.976184 | − | 0.216944i | \(-0.930391\pi\) |
0.875521 | − | 0.483180i | \(-0.160518\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 8.76451 | − | 5.63261i | 0.310066 | − | 0.199267i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −3.15184 | + | 3.63741i | −0.111365 | + | 0.128522i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −2.75298 | −0.0971506 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 0.209251 | 0.00737514 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −10.6934 | + | 12.3408i | −0.376424 | + | 0.434416i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 35.0651 | − | 22.5350i | 1.23282 | − | 0.792287i | 0.248495 | − | 0.968633i | \(-0.420064\pi\) |
0.984328 | + | 0.176346i | \(0.0564277\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 2.78744 | + | 19.3871i | 0.0978803 | + | 0.680773i | 0.978394 | + | 0.206751i | \(0.0662890\pi\) |
−0.880513 | + | 0.474021i | \(0.842802\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 1.33878 | + | 9.31139i | 0.0469529 | + | 0.326565i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −40.9413 | + | 26.3114i | −1.43411 | + | 0.921647i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 4.72411 | − | 10.3444i | 0.165276 | − | 0.361903i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −0.248244 | + | 1.72658i | −0.00867436 | + | 0.0603315i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −23.3529 | − | 6.85703i | −0.815022 | − | 0.239312i | −0.152451 | − | 0.988311i | \(-0.548717\pi\) |
−0.662571 | + | 0.748999i | \(0.730535\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −5.67022 | + | 39.4373i | −0.197652 | + | 1.37470i | 0.613423 | + | 0.789754i | \(0.289792\pi\) |
−0.811075 | + | 0.584943i | \(0.801117\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −9.35109 | − | 6.00958i | −0.325563 | − | 0.209227i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −21.6142 | + | 24.9441i | −0.751598 | + | 0.867391i | −0.994722 | − | 0.102604i | \(-0.967282\pi\) |
0.243124 | + | 0.969995i | \(0.421828\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −8.17296 | + | 17.8963i | −0.283859 | + | 0.621564i | −0.996824 | − | 0.0796355i | \(-0.974624\pi\) |
0.712965 | + | 0.701199i | \(0.247352\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 0.204745 | + | 0.131582i | 0.00710252 | + | 0.00456451i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 21.0258 | 0.728500 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −13.3108 | − | 29.1467i | −0.460640 | − | 1.00866i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −0.478889 | + | 3.33075i | −0.0165528 | + | 0.115127i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −35.9655 | − | 41.5064i | −1.24167 | − | 1.43296i | −0.861280 | − | 0.508130i | \(-0.830337\pi\) |
−0.380385 | − | 0.924828i | \(-0.624209\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 74.2614 | 2.56074 | ||||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −2.95729 | − | 6.47555i | −0.101854 | − | 0.223030i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 40.9714 | + | 12.0303i | 1.40946 | + | 0.413854i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 3.26785 | + | 0.959526i | 0.112284 | + | 0.0329697i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 3.70561 | + | 4.27650i | 0.127176 | + | 0.146769i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 0.374654 | − | 0.432373i | 0.0128430 | − | 0.0148216i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 40.2777 | − | 11.8266i | 1.37908 | − | 0.404935i | 0.493632 | − | 0.869671i | \(-0.335669\pi\) |
0.885449 | + | 0.464736i | \(0.153851\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 9.39280 | − | 6.03638i | 0.321227 | − | 0.206440i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 6.50049 | − | 1.90872i | 0.222052 | − | 0.0652005i | −0.168814 | − | 0.985648i | \(-0.553994\pi\) |
0.390866 | + | 0.920447i | \(0.372175\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −5.29073 | + | 11.5851i | −0.180517 | + | 0.395278i | −0.978160 | − | 0.207852i | \(-0.933353\pi\) |
0.797643 | + | 0.603130i | \(0.206080\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −0.822490 | − | 0.949204i | −0.0280304 | − | 0.0323488i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 10.7612 | + | 23.5637i | 0.366314 | + | 0.802116i | 0.999602 | + | 0.0282000i | \(0.00897752\pi\) |
−0.633288 | + | 0.773916i | \(0.718295\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −20.9923 | − | 13.4910i | −0.713761 | − | 0.458706i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −7.33568 | + | 2.15395i | −0.249133 | + | 0.0731520i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 1.50998 | + | 10.5021i | 0.0512225 | + | 0.356260i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −39.8143 | + | 6.22812i | −1.34905 | + | 0.211032i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −0.231011 | − | 1.60672i | −0.00781854 | − | 0.0543791i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 5.73131 | − | 1.68287i | 0.193754 | − | 0.0568912i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 9.56231 | + | 6.14532i | 0.322896 | + | 0.207513i | 0.692039 | − | 0.721860i | \(-0.256712\pi\) |
−0.369143 | + | 0.929373i | \(0.620349\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 0.531981 | + | 1.16488i | 0.0179433 | + | 0.0392903i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 20.5936 | + | 23.7662i | 0.693814 | + | 0.800705i | 0.987903 | − | 0.155074i | \(-0.0495615\pi\) |
−0.294088 | + | 0.955778i | \(0.595016\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 6.31827 | − | 13.8351i | 0.212627 | − | 0.465587i | −0.773026 | − | 0.634374i | \(-0.781258\pi\) |
0.985653 | + | 0.168787i | \(0.0539851\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 28.3157 | − | 8.31424i | 0.951822 | − | 0.279480i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 5.41273 | − | 3.47855i | 0.181742 | − | 0.116798i | −0.446607 | − | 0.894730i | \(-0.647368\pi\) |
0.628348 | + | 0.777932i | \(0.283731\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −1.87176 | + | 0.549597i | −0.0627767 | + | 0.0184329i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −0.771343 | + | 0.890177i | −0.0258410 | + | 0.0298221i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −6.55489 | − | 7.56475i | −0.219351 | − | 0.253145i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 9.54847 | + | 2.80368i | 0.319170 | + | 0.0937168i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −0.734249 | − | 0.215595i | −0.0245159 | − | 0.00719850i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −14.2048 | − | 31.1042i | −0.473758 | − | 1.03738i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −27.5229 | −0.916920 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −0.897917 | − | 1.03625i | −0.0298808 | − | 0.0344843i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −3.51739 | + | 24.4640i | −0.116922 | + | 0.813211i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 9.12832 | + | 19.9882i | 0.303101 | + | 0.663698i | 0.998490 | − | 0.0549351i | \(-0.0174952\pi\) |
−0.695389 | + | 0.718633i | \(0.744768\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 15.1590 | 0.502793 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 44.0609 | + | 28.3162i | 1.45980 | + | 0.938158i | 0.998709 | + | 0.0508059i | \(0.0161790\pi\) |
0.461093 | + | 0.887352i | \(0.347457\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 6.35808 | − | 13.9222i | 0.210422 | − | 0.460759i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 26.4226 | − | 30.4933i | 0.873503 | − | 1.00808i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −3.90001 | − | 2.50638i | −0.128790 | − | 0.0827680i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −6.62424 | + | 46.0726i | −0.218514 | + | 1.51979i | 0.525016 | + | 0.851092i | \(0.324059\pi\) |
−0.743530 | + | 0.668703i | \(0.766850\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −23.9546 | − | 7.03370i | −0.789331 | − | 0.231768i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −7.04126 | + | 48.9730i | −0.231766 | + | 1.61197i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 14.4294 | − | 31.5960i | 0.474437 | − | 1.03887i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 15.5116 | − | 9.96868i | 0.509467 | − | 0.327414i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −1.58244 | − | 11.0061i | −0.0519182 | − | 0.361099i | −0.999175 | − | 0.0406222i | \(-0.987066\pi\) |
0.947256 | − | 0.320477i | \(-0.103843\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −2.87487 | − | 19.9952i | −0.0942200 | − | 0.655315i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 10.5061 | − | 6.75185i | 0.343954 | − | 0.221046i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −8.96396 | + | 10.3450i | −0.293153 | + | 0.338317i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −36.1534 | −1.18108 | −0.590540 | − | 0.807008i | \(-0.701085\pi\) | ||||
−0.590540 | + | 0.807008i | \(0.701085\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 15.2302 | 0.497020 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 19.7276 | − | 22.7669i | 0.643102 | − | 0.742179i | −0.336818 | − | 0.941570i | \(-0.609351\pi\) |
0.979920 | + | 0.199391i | \(0.0638963\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 0.463533 | − | 0.297895i | 0.0150947 | − | 0.00970079i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −0.191588 | − | 1.33252i | −0.00623235 | − | 0.0433469i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −3.22755 | − | 22.4481i | −0.104881 | − | 0.729466i | −0.972613 | − | 0.232432i | \(-0.925332\pi\) |
0.867731 | − | 0.497034i | \(-0.165577\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −9.68015 | + | 6.22106i | −0.314231 | + | 0.201944i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 2.48646 | − | 5.44458i | 0.0806289 | − | 0.176553i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −8.03084 | + | 55.8557i | −0.260145 | + | 1.80935i | 0.271567 | + | 0.962420i | \(0.412458\pi\) |
−0.531712 | + | 0.846926i | \(0.678451\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −21.3917 | − | 6.28116i | −0.692218 | − | 0.203253i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 1.70341 | − | 11.8474i | 0.0550633 | − | 0.382973i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −2.17394 | − | 1.39711i | −0.0702003 | − | 0.0451150i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 12.8856 | − | 14.8707i | 0.415663 | − | 0.479701i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −3.64902 | + | 7.99025i | −0.117588 | + | 0.257482i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −74.4853 | − | 47.8688i | −2.39777 | − | 1.54095i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 50.1802 | 1.61369 | 0.806843 | − | 0.590766i | \(-0.201174\pi\) | ||||
0.806843 | + | 0.590766i | \(0.201174\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −3.73357 | − | 8.17538i | −0.119940 | − | 0.262631i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 5.11547 | − | 35.5788i | 0.164163 | − | 1.14178i | −0.726517 | − | 0.687149i | \(-0.758862\pi\) |
0.890680 | − | 0.454631i | \(-0.150229\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −4.79879 | − | 5.53810i | −0.153842 | − | 0.177543i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −46.4609 | −1.48794 | ||||||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 2.09311 | + | 4.58328i | 0.0669647 | + | 0.146632i | 0.940155 | − | 0.340747i | \(-0.110680\pi\) |
−0.873190 | + | 0.487380i | \(0.837953\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −5.43945 | − | 1.59717i | −0.173846 | − | 0.0510457i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −1.47311 | − | 0.432545i | −0.0470329 | − | 0.0138101i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 5.25865 | + | 6.06881i | 0.167725 | + | 0.193565i | 0.833389 | − | 0.552686i | \(-0.186397\pi\) |
−0.665664 | + | 0.746251i | \(0.731852\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 14.5448 | − | 16.7855i | 0.463434 | − | 0.534832i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −1.15800 | + | 0.340019i | −0.0368595 | + | 0.0108229i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 0.506042 | − | 0.325213i | 0.0160912 | − | 0.0103412i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −38.6768 | + | 11.3565i | −1.22861 | + | 0.360752i | −0.830724 | − | 0.556684i | \(-0.812073\pi\) |
−0.397883 | + | 0.917436i | \(0.630255\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 11.3265 | − | 24.8015i | 0.359435 | − | 0.787052i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 2.38496 | + | 2.75239i | 0.0756084 | + | 0.0872568i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 15.7693 | + | 34.5299i | 0.499418 | + | 1.09357i | 0.976658 | + | 0.214801i | \(0.0689102\pi\) |
−0.477239 | + | 0.878773i | \(0.658363\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −3.09640 | − | 1.98994i | −0.0979658 | − | 0.0629588i |
(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 | 804.2.q.b.25.1 | ✓ | 60 | |
67.59 | even | 11 | inner | 804.2.q.b.193.1 | yes | 60 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
804.2.q.b.25.1 | ✓ | 60 | 1.1 | even | 1 | trivial | |
804.2.q.b.193.1 | yes | 60 | 67.59 | even | 11 | inner |