Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [855,2,Mod(226,855)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(855, base_ring=CyclotomicField(18))
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("855.226");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 855 = 3^{2} \cdot 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 855.bs (of order \(9\), degree \(6\), 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: | \(6.82720937282\) |
Analytic rank: | \(0\) |
Dimension: | \(18\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{9})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{18} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{18} + 12 x^{16} - 8 x^{15} + 96 x^{14} - 75 x^{13} + 448 x^{12} - 405 x^{11} + 1521 x^{10} + \cdots + 361 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{4}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 95) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 226.2 | ||
Root | \(-0.359728 + 0.623068i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 855.226 |
Dual form | 855.2.bs.b.541.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/855\mathbb{Z}\right)^\times\).
\(n\) | \(172\) | \(191\) | \(496\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{5}{9}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.124932 | + | 0.708527i | −0.0883405 | + | 0.501004i | 0.908245 | + | 0.418439i | \(0.137422\pi\) |
−0.996586 | + | 0.0825655i | \(0.973689\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 1.39298 | + | 0.507004i | 0.696492 | + | 0.253502i | ||||
\(5\) | −0.939693 | + | 0.342020i | −0.420243 | + | 0.152956i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.645970 | − | 1.11885i | −0.244154 | − | 0.422886i | 0.717740 | − | 0.696311i | \(-0.245177\pi\) |
−0.961893 | + | 0.273425i | \(0.911843\pi\) | |||||||
\(8\) | −1.25271 | + | 2.16976i | −0.442900 | + | 0.767126i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −0.124932 | − | 0.708527i | −0.0395071 | − | 0.224056i | ||||
\(11\) | 2.88381 | − | 4.99491i | 0.869502 | − | 1.50602i | 0.00699554 | − | 0.999976i | \(-0.497773\pi\) |
0.862506 | − | 0.506046i | \(-0.168893\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 1.80125 | − | 1.51143i | 0.499576 | − | 0.419194i | −0.357867 | − | 0.933773i | \(-0.616496\pi\) |
0.857443 | + | 0.514578i | \(0.172051\pi\) | |||||||
\(14\) | 0.873439 | − | 0.317906i | 0.233436 | − | 0.0849639i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0.890312 | + | 0.747060i | 0.222578 | + | 0.186765i | ||||
\(17\) | 1.18948 | − | 6.74589i | 0.288492 | − | 1.63612i | −0.404047 | − | 0.914738i | \(-0.632397\pi\) |
0.692539 | − | 0.721381i | \(-0.256492\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 2.40586 | + | 3.63481i | 0.551942 | + | 0.833883i | ||||
\(20\) | −1.48238 | −0.331471 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 3.17874 | + | 2.66728i | 0.677711 | + | 0.568667i | ||||
\(23\) | 5.32803 | + | 1.93925i | 1.11097 | + | 0.404361i | 0.831350 | − | 0.555749i | \(-0.187569\pi\) |
0.279622 | + | 0.960110i | \(0.409791\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 0.766044 | − | 0.642788i | 0.153209 | − | 0.128558i | ||||
\(26\) | 0.845852 | + | 1.46506i | 0.165885 | + | 0.287322i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −0.332562 | − | 1.88605i | −0.0628483 | − | 0.356430i | ||||
\(29\) | 1.04556 | + | 5.92966i | 0.194155 | + | 1.10111i | 0.913617 | + | 0.406577i | \(0.133278\pi\) |
−0.719461 | + | 0.694533i | \(0.755611\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 1.19445 | + | 2.06885i | 0.214529 | + | 0.371576i | 0.953127 | − | 0.302571i | \(-0.0978449\pi\) |
−0.738598 | + | 0.674147i | \(0.764512\pi\) | |||||||
\(32\) | −4.47907 | + | 3.75839i | −0.791796 | + | 0.664395i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 4.63104 | + | 1.68556i | 0.794217 | + | 0.289071i | ||||
\(35\) | 0.989683 | + | 0.830443i | 0.167287 | + | 0.140370i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −4.53121 | −0.744926 | −0.372463 | − | 0.928047i | \(-0.621487\pi\) | ||||
−0.372463 | + | 0.928047i | \(0.621487\pi\) | |||||||
\(38\) | −2.87593 | + | 1.25051i | −0.466537 | + | 0.202859i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0.435062 | − | 2.46736i | 0.0687894 | − | 0.390124i | ||||
\(41\) | 3.51177 | + | 2.94672i | 0.548446 | + | 0.460201i | 0.874414 | − | 0.485180i | \(-0.161246\pi\) |
−0.325968 | + | 0.945381i | \(0.605690\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −0.260318 | + | 0.0947480i | −0.0396981 | + | 0.0144489i | −0.361793 | − | 0.932258i | \(-0.617835\pi\) |
0.322095 | + | 0.946707i | \(0.395613\pi\) | |||||||
\(44\) | 6.54954 | − | 5.49572i | 0.987381 | − | 0.828511i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −2.03965 | + | 3.53278i | −0.300730 | + | 0.520880i | ||||
\(47\) | −0.0880430 | − | 0.499316i | −0.0128424 | − | 0.0728328i | 0.977713 | − | 0.209946i | \(-0.0673288\pi\) |
−0.990555 | + | 0.137113i | \(0.956218\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 2.66545 | − | 4.61669i | 0.380778 | − | 0.659527i | ||||
\(50\) | 0.359728 | + | 0.623068i | 0.0508733 | + | 0.0881151i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 3.27541 | − | 1.19215i | 0.454217 | − | 0.165322i | ||||
\(53\) | −6.75604 | − | 2.45900i | −0.928013 | − | 0.337769i | −0.166591 | − | 0.986026i | \(-0.553276\pi\) |
−0.761422 | + | 0.648257i | \(0.775498\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −1.00154 | + | 5.68000i | −0.135047 | + | 0.765891i | ||||
\(56\) | 3.23685 | 0.432543 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −4.33194 | −0.568812 | ||||||||
\(59\) | −1.00094 | + | 5.67662i | −0.130312 | + | 0.739034i | 0.847699 | + | 0.530478i | \(0.177987\pi\) |
−0.978010 | + | 0.208556i | \(0.933124\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 6.77273 | + | 2.46507i | 0.867160 | + | 0.315620i | 0.737016 | − | 0.675875i | \(-0.236234\pi\) |
0.130143 | + | 0.991495i | \(0.458456\pi\) | |||||||
\(62\) | −1.61506 | + | 0.587833i | −0.205113 | + | 0.0746549i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −0.941117 | − | 1.63006i | −0.117640 | − | 0.203758i | ||||
\(65\) | −1.17568 | + | 2.03634i | −0.145825 | + | 0.252577i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −1.77501 | − | 10.0666i | −0.216852 | − | 1.22983i | −0.877663 | − | 0.479278i | \(-0.840899\pi\) |
0.660811 | − | 0.750552i | \(-0.270212\pi\) | |||||||
\(68\) | 5.07713 | − | 8.79384i | 0.615692 | − | 1.06641i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −0.712034 | + | 0.597468i | −0.0851044 | + | 0.0714110i | ||||
\(71\) | −1.05207 | + | 0.382923i | −0.124858 | + | 0.0454446i | −0.403694 | − | 0.914894i | \(-0.632274\pi\) |
0.278836 | + | 0.960339i | \(0.410052\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 1.83298 | + | 1.53805i | 0.214534 | + | 0.180016i | 0.743722 | − | 0.668489i | \(-0.233059\pi\) |
−0.529188 | + | 0.848505i | \(0.677503\pi\) | |||||||
\(74\) | 0.566094 | − | 3.21048i | 0.0658071 | − | 0.373211i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 1.50845 | + | 6.28301i | 0.173032 | + | 0.720711i | ||||
\(77\) | −7.45142 | −0.849168 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −10.7969 | − | 9.05969i | −1.21475 | − | 1.01929i | −0.999082 | − | 0.0428275i | \(-0.986363\pi\) |
−0.215666 | − | 0.976467i | \(-0.569192\pi\) | |||||||
\(80\) | −1.09213 | − | 0.397503i | −0.122104 | − | 0.0444421i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −2.52657 | + | 2.12004i | −0.279012 | + | 0.234119i | ||||
\(83\) | 0.608609 | + | 1.05414i | 0.0668035 | + | 0.115707i | 0.897493 | − | 0.441030i | \(-0.145387\pi\) |
−0.830689 | + | 0.556737i | \(0.812053\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 1.18948 | + | 6.74589i | 0.129018 | + | 0.731695i | ||||
\(86\) | −0.0346093 | − | 0.196279i | −0.00373202 | − | 0.0211653i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 7.22517 | + | 12.5144i | 0.770206 | + | 1.33404i | ||||
\(89\) | 6.85239 | − | 5.74984i | 0.726352 | − | 0.609482i | −0.202782 | − | 0.979224i | \(-0.564998\pi\) |
0.929135 | + | 0.369742i | \(0.120554\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −2.85461 | − | 1.03899i | −0.299245 | − | 0.108916i | ||||
\(92\) | 6.43866 | + | 5.40267i | 0.671276 | + | 0.563268i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 0.364778 | 0.0376240 | ||||||||
\(95\) | −3.50395 | − | 2.59275i | −0.359497 | − | 0.266011i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −1.83977 | + | 10.4339i | −0.186801 | + | 1.05940i | 0.736819 | + | 0.676090i | \(0.236327\pi\) |
−0.923620 | + | 0.383309i | \(0.874784\pi\) | |||||||
\(98\) | 2.93805 | + | 2.46531i | 0.296788 | + | 0.249034i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 1.39298 | − | 0.507004i | 0.139298 | − | 0.0507004i | ||||
\(101\) | −1.65550 | + | 1.38913i | −0.164728 | + | 0.138223i | −0.721426 | − | 0.692492i | \(-0.756513\pi\) |
0.556697 | + | 0.830715i | \(0.312068\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −4.54154 | + | 7.86618i | −0.447491 | + | 0.775078i | −0.998222 | − | 0.0596051i | \(-0.981016\pi\) |
0.550731 | + | 0.834683i | \(0.314349\pi\) | |||||||
\(104\) | 1.02299 | + | 5.80166i | 0.100312 | + | 0.568899i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 2.58631 | − | 4.47962i | 0.251205 | − | 0.435099i | ||||
\(107\) | −1.93432 | − | 3.35035i | −0.186998 | − | 0.323890i | 0.757250 | − | 0.653125i | \(-0.226543\pi\) |
−0.944248 | + | 0.329235i | \(0.893209\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 15.6852 | − | 5.70895i | 1.50237 | − | 0.546818i | 0.545697 | − | 0.837983i | \(-0.316265\pi\) |
0.956673 | + | 0.291165i | \(0.0940429\pi\) | |||||||
\(110\) | −3.89931 | − | 1.41923i | −0.371784 | − | 0.135318i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 0.260736 | − | 1.47871i | 0.0246372 | − | 0.139725i | ||||
\(113\) | 18.0822 | 1.70103 | 0.850515 | − | 0.525951i | \(-0.176291\pi\) | ||||
0.850515 | + | 0.525951i | \(0.176291\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −5.66998 | −0.528728 | ||||||||
\(116\) | −1.54992 | + | 8.79002i | −0.143906 | + | 0.816133i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −3.89699 | − | 1.41839i | −0.358747 | − | 0.130573i | ||||
\(119\) | −8.31603 | + | 3.02679i | −0.762329 | + | 0.277465i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −11.1327 | − | 19.2825i | −1.01207 | − | 1.75295i | ||||
\(122\) | −2.59270 | + | 4.49070i | −0.234732 | + | 0.406568i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 0.614933 | + | 3.48746i | 0.0552226 | + | 0.313183i | ||||
\(125\) | −0.500000 | + | 0.866025i | −0.0447214 | + | 0.0774597i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 8.26770 | − | 6.93743i | 0.733640 | − | 0.615597i | −0.197481 | − | 0.980307i | \(-0.563276\pi\) |
0.931121 | + | 0.364710i | \(0.118832\pi\) | |||||||
\(128\) | −9.71627 | + | 3.53643i | −0.858805 | + | 0.312580i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −1.29592 | − | 1.08741i | −0.113660 | − | 0.0953718i | ||||
\(131\) | −2.19238 | + | 12.4336i | −0.191549 | + | 1.08633i | 0.725699 | + | 0.688013i | \(0.241517\pi\) |
−0.917248 | + | 0.398317i | \(0.869594\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 2.51270 | − | 5.03978i | 0.217879 | − | 0.437004i | ||||
\(134\) | 7.35421 | 0.635307 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 13.1469 | + | 11.0316i | 1.12734 | + | 0.945948i | ||||
\(137\) | −8.64939 | − | 3.14812i | −0.738967 | − | 0.268962i | −0.0550118 | − | 0.998486i | \(-0.517520\pi\) |
−0.683956 | + | 0.729524i | \(0.739742\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 3.63122 | − | 3.04696i | 0.307996 | − | 0.258440i | −0.475667 | − | 0.879625i | \(-0.657793\pi\) |
0.783663 | + | 0.621186i | \(0.213349\pi\) | |||||||
\(140\) | 0.957574 | + | 1.65857i | 0.0809297 | + | 0.140174i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −0.139873 | − | 0.793261i | −0.0117379 | − | 0.0665690i | ||||
\(143\) | −2.35498 | − | 13.3557i | −0.196933 | − | 1.11686i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −3.01057 | − | 5.21445i | −0.250014 | − | 0.433037i | ||||
\(146\) | −1.31875 | + | 1.10656i | −0.109141 | + | 0.0915798i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −6.31189 | − | 2.29734i | −0.518835 | − | 0.188840i | ||||
\(149\) | −7.46788 | − | 6.26629i | −0.611792 | − | 0.513355i | 0.283419 | − | 0.958996i | \(-0.408531\pi\) |
−0.895212 | + | 0.445641i | \(0.852976\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −13.0214 | −1.05967 | −0.529834 | − | 0.848101i | \(-0.677746\pi\) | ||||
−0.529834 | + | 0.848101i | \(0.677746\pi\) | |||||||
\(152\) | −10.9005 | + | 0.666765i | −0.884148 | + | 0.0540818i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 0.930923 | − | 5.27953i | 0.0750160 | − | 0.425437i | ||||
\(155\) | −1.83000 | − | 1.53555i | −0.146989 | − | 0.123339i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −17.4944 | + | 6.36745i | −1.39621 | + | 0.508178i | −0.927050 | − | 0.374938i | \(-0.877664\pi\) |
−0.469156 | + | 0.883115i | \(0.655442\pi\) | |||||||
\(158\) | 7.76792 | − | 6.51806i | 0.617982 | − | 0.518549i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 2.92351 | − | 5.06366i | 0.231124 | − | 0.400318i | ||||
\(161\) | −1.27202 | − | 7.21398i | −0.100249 | − | 0.568541i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 4.94380 | − | 8.56291i | 0.387228 | − | 0.670699i | −0.604847 | − | 0.796341i | \(-0.706766\pi\) |
0.992076 | + | 0.125642i | \(0.0400992\pi\) | |||||||
\(164\) | 3.39783 | + | 5.88522i | 0.265326 | + | 0.459558i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −0.822923 | + | 0.299519i | −0.0638712 | + | 0.0232472i | ||||
\(167\) | −11.2804 | − | 4.10574i | −0.872905 | − | 0.317711i | −0.133562 | − | 0.991040i | \(-0.542642\pi\) |
−0.739343 | + | 0.673329i | \(0.764864\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −1.29734 | + | 7.35759i | −0.0997956 | + | 0.565969i | ||||
\(170\) | −4.92825 | −0.377980 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −0.410656 | −0.0313122 | ||||||||
\(173\) | −2.86662 | + | 16.2574i | −0.217945 | + | 1.23603i | 0.657777 | + | 0.753213i | \(0.271497\pi\) |
−0.875722 | + | 0.482815i | \(0.839614\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −1.21403 | − | 0.441869i | −0.0917717 | − | 0.0334022i | ||||
\(176\) | 6.29899 | − | 2.29265i | 0.474804 | − | 0.172815i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 3.21783 | + | 5.57345i | 0.241187 | + | 0.417747i | ||||
\(179\) | 10.1073 | − | 17.5064i | 0.755458 | − | 1.30849i | −0.189688 | − | 0.981844i | \(-0.560748\pi\) |
0.945146 | − | 0.326647i | \(-0.105919\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 0.0414421 | + | 0.235030i | 0.00308037 | + | 0.0174696i | 0.986309 | − | 0.164907i | \(-0.0527322\pi\) |
−0.983229 | + | 0.182376i | \(0.941621\pi\) | |||||||
\(182\) | 1.09279 | − | 1.89277i | 0.0810029 | − | 0.140301i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −10.8822 | + | 9.13124i | −0.802246 | + | 0.673164i | ||||
\(185\) | 4.25794 | − | 1.54976i | 0.313050 | − | 0.113941i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −30.2649 | − | 25.3952i | −2.21319 | − | 1.85708i | ||||
\(188\) | 0.130513 | − | 0.740178i | 0.00951866 | − | 0.0539830i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 2.27479 | − | 2.15872i | 0.165031 | − | 0.156610i | ||||
\(191\) | 0.323227 | 0.0233879 | 0.0116939 | − | 0.999932i | \(-0.496278\pi\) | ||||
0.0116939 | + | 0.999932i | \(0.496278\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 1.12114 | + | 0.940747i | 0.0807013 | + | 0.0677164i | 0.682246 | − | 0.731123i | \(-0.261003\pi\) |
−0.601545 | + | 0.798839i | \(0.705448\pi\) | |||||||
\(194\) | −7.16283 | − | 2.60706i | −0.514261 | − | 0.187176i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 6.05360 | − | 5.07958i | 0.432400 | − | 0.362827i | ||||
\(197\) | −4.77502 | − | 8.27058i | −0.340206 | − | 0.589255i | 0.644265 | − | 0.764803i | \(-0.277164\pi\) |
−0.984471 | + | 0.175548i | \(0.943830\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 0.242795 | + | 1.37696i | 0.0172113 | + | 0.0976101i | 0.992203 | − | 0.124630i | \(-0.0397743\pi\) |
−0.974992 | + | 0.222240i | \(0.928663\pi\) | |||||||
\(200\) | 0.435062 | + | 2.46736i | 0.0307635 | + | 0.174469i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −0.777409 | − | 1.34651i | −0.0546983 | − | 0.0947402i | ||||
\(203\) | 5.95901 | − | 5.00020i | 0.418241 | − | 0.350946i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −4.30782 | − | 1.56792i | −0.300871 | − | 0.109508i | ||||
\(206\) | −5.00601 | − | 4.20054i | −0.348786 | − | 0.292666i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 2.73280 | 0.189486 | ||||||||
\(209\) | 25.0936 | − | 1.53493i | 1.73576 | − | 0.106173i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −2.95007 | + | 16.7307i | −0.203091 | + | 1.15179i | 0.697324 | + | 0.716756i | \(0.254374\pi\) |
−0.900415 | + | 0.435031i | \(0.856737\pi\) | |||||||
\(212\) | −8.16432 | − | 6.85068i | −0.560728 | − | 0.470507i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 2.61547 | − | 0.951954i | 0.178790 | − | 0.0650742i | ||||
\(215\) | 0.212213 | − | 0.178068i | 0.0144728 | − | 0.0121441i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 1.54316 | − | 2.67282i | 0.104756 | − | 0.181443i | ||||
\(218\) | 2.08535 | + | 11.8266i | 0.141238 | + | 0.800999i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −4.27491 | + | 7.40436i | −0.288214 | + | 0.499202i | ||||
\(221\) | −8.05337 | − | 13.9488i | −0.541728 | − | 0.938301i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −11.0581 | + | 4.02483i | −0.740507 | + | 0.269523i | −0.684606 | − | 0.728914i | \(-0.740026\pi\) |
−0.0559018 | + | 0.998436i | \(0.517803\pi\) | |||||||
\(224\) | 7.09843 | + | 2.58362i | 0.474283 | + | 0.172625i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −2.25905 | + | 12.8117i | −0.150270 | + | 0.852223i | ||||
\(227\) | −27.5106 | −1.82594 | −0.912971 | − | 0.408025i | \(-0.866218\pi\) | ||||
−0.912971 | + | 0.408025i | \(0.866218\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −9.40958 | −0.621802 | −0.310901 | − | 0.950442i | \(-0.600631\pi\) | ||||
−0.310901 | + | 0.950442i | \(0.600631\pi\) | |||||||
\(230\) | 0.708363 | − | 4.01733i | 0.0467081 | − | 0.264895i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −14.1757 | − | 5.15954i | −0.930681 | − | 0.338740i | ||||
\(233\) | 1.04994 | − | 0.382148i | 0.0687841 | − | 0.0250354i | −0.307399 | − | 0.951581i | \(-0.599459\pi\) |
0.376183 | + | 0.926545i | \(0.377236\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 0.253510 | + | 0.439092i | 0.0165371 | + | 0.0286432i | ||||
\(236\) | −4.27237 | + | 7.39996i | −0.278108 | + | 0.481696i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −1.10562 | − | 6.27027i | −0.0716666 | − | 0.406441i | ||||
\(239\) | −6.48276 | + | 11.2285i | −0.419335 | + | 0.726310i | −0.995873 | − | 0.0907608i | \(-0.971070\pi\) |
0.576538 | + | 0.817071i | \(0.304403\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −15.6540 | + | 13.1353i | −1.00836 | + | 0.846118i | −0.988121 | − | 0.153677i | \(-0.950889\pi\) |
−0.0202435 | + | 0.999795i | \(0.506444\pi\) | |||||||
\(242\) | 15.0530 | − | 5.47884i | 0.967643 | − | 0.352193i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 8.18450 | + | 6.86761i | 0.523959 | + | 0.439654i | ||||
\(245\) | −0.925700 | + | 5.24990i | −0.0591408 | + | 0.335404i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 9.82729 | + | 2.91092i | 0.625296 | + | 0.185217i | ||||
\(248\) | −5.98520 | −0.380061 | ||||||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −0.551136 | − | 0.462458i | −0.0348569 | − | 0.0292484i | ||||
\(251\) | −15.5328 | − | 5.65348i | −0.980422 | − | 0.356844i | −0.198418 | − | 0.980118i | \(-0.563580\pi\) |
−0.782004 | + | 0.623273i | \(0.785802\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 25.0514 | − | 21.0206i | 1.57497 | − | 1.32156i | ||||
\(254\) | 3.88245 | + | 6.72460i | 0.243606 | + | 0.421939i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −1.94547 | − | 11.0333i | −0.121592 | − | 0.689583i | ||||
\(257\) | 2.02701 | + | 11.4958i | 0.126442 | + | 0.717087i | 0.980441 | + | 0.196813i | \(0.0630591\pi\) |
−0.853999 | + | 0.520274i | \(0.825830\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 2.92702 | + | 5.06975i | 0.181876 | + | 0.315019i | ||||
\(260\) | −2.67014 | + | 2.24051i | −0.165595 | + | 0.138951i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −8.53564 | − | 3.10672i | −0.527334 | − | 0.191934i | ||||
\(263\) | 5.34724 | + | 4.48687i | 0.329725 | + | 0.276672i | 0.792588 | − | 0.609758i | \(-0.208733\pi\) |
−0.462863 | + | 0.886430i | \(0.653178\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 7.18962 | 0.441655 | ||||||||
\(266\) | 3.25690 | + | 2.40995i | 0.199693 | + | 0.147763i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 2.63125 | − | 14.9225i | 0.160729 | − | 0.911539i | ||||
\(269\) | 3.94311 | + | 3.30866i | 0.240416 | + | 0.201733i | 0.755032 | − | 0.655688i | \(-0.227621\pi\) |
−0.514617 | + | 0.857420i | \(0.672066\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 3.24655 | − | 1.18165i | 0.197214 | − | 0.0717801i | −0.241525 | − | 0.970395i | \(-0.577648\pi\) |
0.438739 | + | 0.898615i | \(0.355425\pi\) | |||||||
\(272\) | 6.09860 | − | 5.11733i | 0.369782 | − | 0.310284i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 3.31112 | − | 5.73502i | 0.200032 | − | 0.346465i | ||||
\(275\) | −1.00154 | − | 5.68000i | −0.0603950 | − | 0.342517i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −4.09007 | + | 7.08421i | −0.245749 | + | 0.425649i | −0.962342 | − | 0.271842i | \(-0.912367\pi\) |
0.716593 | + | 0.697491i | \(0.245700\pi\) | |||||||
\(278\) | 1.70519 | + | 2.95348i | 0.102271 | + | 0.177138i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −3.04165 | + | 1.10707i | −0.181773 | + | 0.0661601i | ||||
\(281\) | 10.5082 | + | 3.82467i | 0.626866 | + | 0.228160i | 0.635866 | − | 0.771799i | \(-0.280643\pi\) |
−0.00900091 | + | 0.999959i | \(0.502865\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 3.01728 | − | 17.1119i | 0.179359 | − | 1.01719i | −0.753633 | − | 0.657296i | \(-0.771700\pi\) |
0.932992 | − | 0.359898i | \(-0.117189\pi\) | |||||||
\(284\) | −1.65966 | −0.0984829 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 9.75711 | 0.576950 | ||||||||
\(287\) | 1.02845 | − | 5.83264i | 0.0607076 | − | 0.344290i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −28.1174 | − | 10.2339i | −1.65397 | − | 0.601994i | ||||
\(290\) | 4.07070 | − | 1.48161i | 0.239040 | − | 0.0870033i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 1.77351 | + | 3.07181i | 0.103787 | + | 0.179764i | ||||
\(293\) | 1.43049 | − | 2.47768i | 0.0835699 | − | 0.144747i | −0.821211 | − | 0.570625i | \(-0.806701\pi\) |
0.904781 | + | 0.425877i | \(0.140034\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −1.00094 | − | 5.67662i | −0.0582771 | − | 0.330506i | ||||
\(296\) | 5.67630 | − | 9.83163i | 0.329928 | − | 0.571452i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 5.37282 | − | 4.50833i | 0.311239 | − | 0.261160i | ||||
\(299\) | 12.5281 | − | 4.55987i | 0.724521 | − | 0.263704i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0.274166 | + | 0.230053i | 0.0158027 | + | 0.0132600i | ||||
\(302\) | 1.62680 | − | 9.22602i | 0.0936116 | − | 0.530898i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −0.573459 | + | 5.03344i | −0.0328901 | + | 0.288687i | ||||
\(305\) | −7.20739 | −0.412694 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 21.4527 | + | 18.0009i | 1.22437 | + | 1.02737i | 0.998584 | + | 0.0531897i | \(0.0169388\pi\) |
0.225784 | + | 0.974177i | \(0.427506\pi\) | |||||||
\(308\) | −10.3797 | − | 3.77790i | −0.591438 | − | 0.215266i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 1.31661 | − | 1.10476i | 0.0747783 | − | 0.0627464i | ||||
\(311\) | −10.9646 | − | 18.9912i | −0.621744 | − | 1.07689i | −0.989161 | − | 0.146836i | \(-0.953091\pi\) |
0.367417 | − | 0.930056i | \(-0.380242\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 0.204904 | + | 1.16207i | 0.0115819 | + | 0.0656841i | 0.990051 | − | 0.140710i | \(-0.0449384\pi\) |
−0.978469 | + | 0.206394i | \(0.933827\pi\) | |||||||
\(314\) | −2.32589 | − | 13.1908i | −0.131257 | − | 0.744398i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −10.4466 | − | 18.0941i | −0.587668 | − | 1.01787i | ||||
\(317\) | −22.7839 | + | 19.1180i | −1.27967 | + | 1.07377i | −0.286385 | + | 0.958115i | \(0.592454\pi\) |
−0.993289 | + | 0.115660i | \(0.963102\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 32.6333 | + | 11.8775i | 1.82711 | + | 0.665015i | ||||
\(320\) | 1.44188 | + | 1.20988i | 0.0806033 | + | 0.0676342i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 5.27021 | 0.293697 | ||||||||
\(323\) | 27.3818 | − | 11.9061i | 1.52356 | − | 0.662474i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 0.408310 | − | 2.31564i | 0.0226489 | − | 0.128449i | ||||
\(326\) | 5.44941 | + | 4.57260i | 0.301815 | + | 0.253253i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −10.7929 | + | 3.92830i | −0.595939 | + | 0.216904i | ||||
\(329\) | −0.501788 | + | 0.421050i | −0.0276645 | + | 0.0232133i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 12.7192 | − | 22.0304i | 0.699113 | − | 1.21090i | −0.269662 | − | 0.962955i | \(-0.586912\pi\) |
0.968774 | − | 0.247944i | \(-0.0797549\pi\) | |||||||
\(332\) | 0.313328 | + | 1.77697i | 0.0171961 | + | 0.0975239i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 4.31831 | − | 7.47954i | 0.236288 | − | 0.409262i | ||||
\(335\) | 5.11094 | + | 8.85241i | 0.279241 | + | 0.483659i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −11.0931 | + | 4.03756i | −0.604280 | + | 0.219940i | −0.625998 | − | 0.779824i | \(-0.715308\pi\) |
0.0217189 | + | 0.999764i | \(0.493086\pi\) | |||||||
\(338\) | −5.05097 | − | 1.83840i | −0.274737 | − | 0.0999960i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −1.76327 | + | 9.99999i | −0.0956266 | + | 0.542326i | ||||
\(341\) | 13.7783 | 0.746135 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −15.9308 | −0.860180 | ||||||||
\(344\) | 0.120523 | − | 0.683519i | 0.00649816 | − | 0.0368529i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −11.1607 | − | 4.06215i | −0.600001 | − | 0.218383i | ||||
\(347\) | −4.62279 | + | 1.68256i | −0.248164 | + | 0.0903244i | −0.463107 | − | 0.886302i | \(-0.653266\pi\) |
0.214943 | + | 0.976627i | \(0.431043\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 18.1158 | + | 31.3775i | 0.969717 | + | 1.67960i | 0.696368 | + | 0.717685i | \(0.254798\pi\) |
0.273349 | + | 0.961915i | \(0.411869\pi\) | |||||||
\(350\) | 0.464747 | − | 0.804966i | 0.0248418 | − | 0.0430272i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 5.85600 | + | 33.2110i | 0.312126 | + | 1.77015i | ||||
\(353\) | −12.7952 | + | 22.1620i | −0.681022 | + | 1.17957i | 0.293647 | + | 0.955914i | \(0.405131\pi\) |
−0.974669 | + | 0.223651i | \(0.928202\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 0.857657 | − | 0.719660i | 0.0455197 | − | 0.0381956i | ||||
\(356\) | 12.4605 | − | 4.53524i | 0.660403 | − | 0.240367i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 11.1410 | + | 9.34844i | 0.588822 | + | 0.494080i | ||||
\(359\) | −5.34835 | + | 30.3320i | −0.282275 | + | 1.60086i | 0.432583 | + | 0.901594i | \(0.357602\pi\) |
−0.714859 | + | 0.699269i | \(0.753509\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −7.42369 | + | 17.4897i | −0.390721 | + | 0.920509i | ||||
\(362\) | −0.171702 | −0.00902447 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −3.44965 | − | 2.89460i | −0.180811 | − | 0.151718i | ||||
\(365\) | −2.24848 | − | 0.818381i | −0.117691 | − | 0.0428360i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 23.0842 | − | 19.3699i | 1.20499 | − | 1.01110i | 0.205512 | − | 0.978655i | \(-0.434114\pi\) |
0.999473 | − | 0.0324481i | \(-0.0103304\pi\) | |||||||
\(368\) | 3.29488 | + | 5.70690i | 0.171757 | + | 0.297493i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 0.566094 | + | 3.21048i | 0.0294298 | + | 0.166905i | ||||
\(371\) | 1.61294 | + | 9.14744i | 0.0837397 | + | 0.474912i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 14.0122 | + | 24.2699i | 0.725526 | + | 1.25665i | 0.958757 | + | 0.284227i | \(0.0917369\pi\) |
−0.233231 | + | 0.972421i | \(0.574930\pi\) | |||||||
\(374\) | 21.7743 | − | 18.2708i | 1.12592 | − | 0.944760i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 1.19369 | + | 0.434467i | 0.0615598 | + | 0.0224059i | ||||
\(377\) | 10.8456 | + | 9.10050i | 0.558574 | + | 0.468699i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −22.6159 | −1.16170 | −0.580851 | − | 0.814010i | \(-0.697280\pi\) | ||||
−0.580851 | + | 0.814010i | \(0.697280\pi\) | |||||||
\(380\) | −3.56640 | − | 5.38818i | −0.182952 | − | 0.276408i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −0.0403815 | + | 0.229015i | −0.00206610 | + | 0.0117174i | ||||
\(383\) | −7.67822 | − | 6.44279i | −0.392339 | − | 0.329211i | 0.425185 | − | 0.905107i | \(-0.360209\pi\) |
−0.817523 | + | 0.575895i | \(0.804654\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 7.00204 | − | 2.54854i | 0.356857 | − | 0.129885i | ||||
\(386\) | −0.806611 | + | 0.676827i | −0.0410554 | + | 0.0344496i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −7.85279 | + | 13.6014i | −0.398665 | + | 0.690508i | ||||
\(389\) | 1.26793 | + | 7.19077i | 0.0642865 | + | 0.364587i | 0.999932 | + | 0.0116460i | \(0.00370714\pi\) |
−0.935646 | + | 0.352941i | \(0.885182\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 19.4195 | − | 33.6356i | 0.982089 | − | 1.70103i | ||||
\(392\) | 6.67807 | + | 11.5668i | 0.337294 | + | 0.584210i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 6.45648 | − | 2.34997i | 0.325273 | − | 0.118390i | ||||
\(395\) | 13.2444 | + | 4.82056i | 0.666397 | + | 0.242549i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −6.31493 | + | 35.8137i | −0.316937 | + | 1.79744i | 0.244208 | + | 0.969723i | \(0.421472\pi\) |
−0.561145 | + | 0.827717i | \(0.689639\pi\) | |||||||
\(398\) | −1.00595 | −0.0504235 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 1.16222 | 0.0581110 | ||||||||
\(401\) | −1.58822 | + | 9.00726i | −0.0793121 | + | 0.449801i | 0.919128 | + | 0.393960i | \(0.128895\pi\) |
−0.998440 | + | 0.0558411i | \(0.982216\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 5.27841 | + | 1.92118i | 0.262936 | + | 0.0957009i | ||||
\(404\) | −3.01038 | + | 1.09569i | −0.149772 | + | 0.0545125i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 2.79830 | + | 4.84681i | 0.138878 | + | 0.240543i | ||||
\(407\) | −13.0671 | + | 22.6330i | −0.647714 | + | 1.12187i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −0.814898 | − | 4.62152i | −0.0402941 | − | 0.228519i | 0.958010 | − | 0.286735i | \(-0.0925700\pi\) |
−0.998304 | + | 0.0582158i | \(0.981459\pi\) | |||||||
\(410\) | 1.64910 | − | 2.85632i | 0.0814432 | − | 0.141064i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −10.3145 | + | 8.65488i | −0.508158 | + | 0.426395i | ||||
\(413\) | 6.99788 | − | 2.54702i | 0.344343 | − | 0.125331i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −0.932443 | − | 0.782413i | −0.0457718 | − | 0.0384071i | ||||
\(416\) | −2.38739 | + | 13.5396i | −0.117052 | + | 0.663832i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −2.04746 | + | 17.9712i | −0.100145 | + | 0.879002i | ||||
\(419\) | 0.588477 | 0.0287490 | 0.0143745 | − | 0.999897i | \(-0.495424\pi\) | ||||
0.0143745 | + | 0.999897i | \(0.495424\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −4.71306 | − | 3.95473i | −0.229701 | − | 0.192742i | 0.520672 | − | 0.853757i | \(-0.325681\pi\) |
−0.750373 | + | 0.661015i | \(0.770126\pi\) | |||||||
\(422\) | −11.4856 | − | 4.18040i | −0.559109 | − | 0.203499i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 13.7988 | − | 11.5786i | 0.670129 | − | 0.562305i | ||||
\(425\) | −3.42498 | − | 5.93224i | −0.166136 | − | 0.287756i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −1.61693 | − | 9.17005i | −0.0782486 | − | 0.443770i | ||||
\(428\) | −0.995840 | − | 5.64769i | −0.0481358 | − | 0.272991i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 0.0996536 | + | 0.172605i | 0.00480572 | + | 0.00832376i | ||||
\(431\) | 0.241775 | − | 0.202873i | 0.0116459 | − | 0.00977207i | −0.636946 | − | 0.770908i | \(-0.719803\pi\) |
0.648592 | + | 0.761136i | \(0.275358\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −32.1844 | − | 11.7142i | −1.54668 | − | 0.562947i | −0.579046 | − | 0.815295i | \(-0.696575\pi\) |
−0.967637 | + | 0.252348i | \(0.918797\pi\) | |||||||
\(434\) | 1.70098 | + | 1.42729i | 0.0816495 | + | 0.0685121i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 24.7437 | 1.18501 | ||||||||
\(437\) | 5.76970 | + | 24.0319i | 0.276002 | + | 1.14960i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −0.363229 | + | 2.05997i | −0.0173360 | + | 0.0983172i | −0.992248 | − | 0.124273i | \(-0.960340\pi\) |
0.974912 | + | 0.222590i | \(0.0714512\pi\) | |||||||
\(440\) | −11.0696 | − | 9.28850i | −0.527723 | − | 0.442812i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 10.8893 | − | 3.96336i | 0.517949 | − | 0.188518i | ||||
\(443\) | 6.51336 | − | 5.46536i | 0.309459 | − | 0.259667i | −0.474809 | − | 0.880089i | \(-0.657483\pi\) |
0.784268 | + | 0.620422i | \(0.213039\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −4.47258 | + | 7.74674i | −0.212021 | + | 0.367231i | ||||
\(446\) | −1.47018 | − | 8.33782i | −0.0696151 | − | 0.394807i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −1.21587 | + | 2.10594i | −0.0574443 | + | 0.0994964i | ||||
\(449\) | −7.75850 | − | 13.4381i | −0.366146 | − | 0.634184i | 0.622813 | − | 0.782371i | \(-0.285990\pi\) |
−0.988959 | + | 0.148187i | \(0.952656\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 24.8459 | − | 9.04316i | 1.16995 | − | 0.425826i | ||||
\(452\) | 25.1882 | + | 9.16775i | 1.18475 | + | 0.431215i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 3.43696 | − | 19.4920i | 0.161305 | − | 0.914804i | ||||
\(455\) | 3.03782 | 0.142415 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 37.2930 | 1.74449 | 0.872247 | − | 0.489065i | \(-0.162662\pi\) | ||||
0.872247 | + | 0.489065i | \(0.162662\pi\) | |||||||
\(458\) | 1.17556 | − | 6.66694i | 0.0549303 | − | 0.311525i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −7.89818 | − | 2.87470i | −0.368255 | − | 0.134034i | ||||
\(461\) | −16.4663 | + | 5.99324i | −0.766912 | + | 0.279133i | −0.695704 | − | 0.718328i | \(-0.744908\pi\) |
−0.0712079 | + | 0.997461i | \(0.522685\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 16.7188 | + | 28.9578i | 0.776987 | + | 1.34578i | 0.933671 | + | 0.358133i | \(0.116586\pi\) |
−0.156683 | + | 0.987649i | \(0.550080\pi\) | |||||||
\(464\) | −3.49894 | + | 6.06034i | −0.162434 | + | 0.281344i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 0.139590 | + | 0.791656i | 0.00646640 | + | 0.0366728i | ||||
\(467\) | 7.48091 | − | 12.9573i | 0.346175 | − | 0.599593i | −0.639391 | − | 0.768882i | \(-0.720814\pi\) |
0.985567 | + | 0.169288i | \(0.0541469\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −10.1164 | + | 8.48869i | −0.467133 | + | 0.391971i | ||||
\(470\) | −0.342780 | + | 0.124762i | −0.0158112 | + | 0.00575482i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −11.0630 | − | 9.28298i | −0.509217 | − | 0.427284i | ||||
\(473\) | −0.277450 | + | 1.57350i | −0.0127572 | + | 0.0723496i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 4.17941 | + | 1.23797i | 0.191764 | + | 0.0568020i | ||||
\(476\) | −13.1187 | −0.601294 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −7.14577 | − | 5.99601i | −0.326840 | − | 0.274251i | ||||
\(479\) | −14.8807 | − | 5.41612i | −0.679915 | − | 0.247469i | −0.0211037 | − | 0.999777i | \(-0.506718\pi\) |
−0.658811 | + | 0.752309i | \(0.728940\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −8.16183 | + | 6.84858i | −0.372147 | + | 0.312269i | ||||
\(482\) | −7.35101 | − | 12.7323i | −0.334829 | − | 0.579941i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −5.73142 | − | 32.5045i | −0.260519 | − | 1.47748i | ||||
\(485\) | −1.83977 | − | 10.4339i | −0.0835398 | − | 0.473778i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −3.24767 | − | 5.62514i | −0.147166 | − | 0.254899i | 0.783013 | − | 0.622006i | \(-0.213682\pi\) |
−0.930179 | + | 0.367106i | \(0.880349\pi\) | |||||||
\(488\) | −13.8329 | + | 11.6072i | −0.626186 | + | 0.525433i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −3.60405 | − | 1.31177i | −0.162814 | − | 0.0592596i | ||||
\(491\) | 1.28942 | + | 1.08195i | 0.0581905 | + | 0.0488277i | 0.671419 | − | 0.741078i | \(-0.265685\pi\) |
−0.613229 | + | 0.789906i | \(0.710130\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 41.2445 | 1.85756 | ||||||||
\(494\) | −3.29021 | + | 6.59923i | −0.148034 | + | 0.296914i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −0.482121 | + | 2.73424i | −0.0216479 | + | 0.122771i | ||||
\(497\) | 1.10804 | + | 0.929757i | 0.0497024 | + | 0.0417053i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −12.5320 | + | 4.56129i | −0.561011 | + | 0.204191i | −0.606932 | − | 0.794754i | \(-0.707600\pi\) |
0.0459208 | + | 0.998945i | \(0.485378\pi\) | |||||||
\(500\) | −1.13557 | + | 0.952857i | −0.0507843 | + | 0.0426130i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 5.94619 | − | 10.2991i | 0.265391 | − | 0.459672i | ||||
\(503\) | −1.32303 | − | 7.50329i | −0.0589911 | − | 0.334555i | 0.941001 | − | 0.338402i | \(-0.109887\pi\) |
−0.999993 | + | 0.00384718i | \(0.998775\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 1.08055 | − | 1.87157i | 0.0480838 | − | 0.0832836i | ||||
\(506\) | 11.7639 | + | 20.3757i | 0.522971 | + | 0.905812i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 15.0341 | − | 5.47196i | 0.667029 | − | 0.242779i | ||||
\(509\) | 17.8484 | + | 6.49628i | 0.791116 | + | 0.287943i | 0.705800 | − | 0.708411i | \(-0.250588\pi\) |
0.0853161 | + | 0.996354i | \(0.472810\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 0.536805 | − | 3.04437i | 0.0237468 | − | 0.134675i | ||||
\(512\) | −12.6192 | −0.557696 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −8.39830 | −0.370433 | ||||||||
\(515\) | 1.57726 | − | 8.94509i | 0.0695024 | − | 0.394168i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −2.74794 | − | 1.00017i | −0.120854 | − | 0.0439873i | ||||
\(518\) | −3.95773 | + | 1.44050i | −0.173893 | + | 0.0632918i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −2.94558 | − | 5.10189i | −0.129172 | − | 0.223733i | ||||
\(521\) | 10.1510 | − | 17.5821i | 0.444724 | − | 0.770285i | −0.553308 | − | 0.832976i | \(-0.686635\pi\) |
0.998033 | + | 0.0626910i | \(0.0199683\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −2.66928 | − | 15.1382i | −0.116719 | − | 0.661948i | −0.985885 | − | 0.167426i | \(-0.946454\pi\) |
0.869165 | − | 0.494522i | \(-0.164657\pi\) | |||||||
\(524\) | −9.35784 | + | 16.2083i | −0.408799 | + | 0.708061i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −3.84711 | + | 3.22811i | −0.167742 | + | 0.140752i | ||||
\(527\) | 15.3770 | − | 5.59677i | 0.669832 | − | 0.243799i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 7.00825 | + | 5.88062i | 0.304706 | + | 0.255679i | ||||
\(530\) | −0.898217 | + | 5.09404i | −0.0390160 | + | 0.221271i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 6.05534 | − | 5.74637i | 0.262532 | − | 0.249137i | ||||
\(533\) | 10.7793 | 0.466904 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 2.96356 | + | 2.48672i | 0.128126 | + | 0.107510i | ||||
\(536\) | 24.0657 | + | 8.75919i | 1.03948 | + | 0.378339i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −2.83690 | + | 2.38044i | −0.122307 | + | 0.102628i | ||||
\(539\) | −15.3733 | − | 26.6273i | −0.662175 | − | 1.14692i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 2.26414 | + | 12.8406i | 0.0973431 | + | 0.552060i | 0.994004 | + | 0.109342i | \(0.0348745\pi\) |
−0.896661 | + | 0.442718i | \(0.854014\pi\) | |||||||
\(542\) | 0.431630 | + | 2.44790i | 0.0185401 | + | 0.105146i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 20.0259 | + | 34.6859i | 0.858603 | + | 1.48714i | ||||
\(545\) | −12.7867 | + | 10.7293i | −0.547722 | + | 0.459593i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −13.7727 | − | 5.01285i | −0.588878 | − | 0.214334i | 0.0303580 | − | 0.999539i | \(-0.490335\pi\) |
−0.619236 | + | 0.785205i | \(0.712557\pi\) | |||||||
\(548\) | −10.4523 | − | 8.77056i | −0.446502 | − | 0.374660i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 4.14956 | 0.176938 | ||||||||
\(551\) | −19.0377 | + | 18.0663i | −0.811034 | + | 0.769651i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −3.16197 | + | 17.9324i | −0.134461 | + | 0.762565i | ||||
\(554\) | −4.50837 | − | 3.78297i | −0.191542 | − | 0.160723i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 6.60306 | − | 2.40332i | 0.280032 | − | 0.101923i | ||||
\(557\) | 23.1541 | − | 19.4286i | 0.981071 | − | 0.823216i | −0.00317970 | − | 0.999995i | \(-0.501012\pi\) |
0.984251 | + | 0.176779i | \(0.0565677\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −0.325692 | + | 0.564116i | −0.0137753 | + | 0.0238596i | ||||
\(560\) | 0.260736 | + | 1.47871i | 0.0110181 | + | 0.0624867i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −4.02269 | + | 6.96750i | −0.169687 | + | 0.293906i | ||||
\(563\) | 9.01300 | + | 15.6110i | 0.379853 | + | 0.657924i | 0.991041 | − | 0.133561i | \(-0.0426413\pi\) |
−0.611188 | + | 0.791486i | \(0.709308\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −16.9917 | + | 6.18447i | −0.714846 | + | 0.260183i | ||||
\(566\) | 11.7472 | + | 4.27565i | 0.493774 | + | 0.179719i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 0.487092 | − | 2.76244i | 0.0204379 | − | 0.115909i | ||||
\(569\) | 39.6582 | 1.66256 | 0.831280 | − | 0.555854i | \(-0.187609\pi\) | ||||
0.831280 | + | 0.555854i | \(0.187609\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −31.2303 | −1.30695 | −0.653473 | − | 0.756950i | \(-0.726689\pi\) | ||||
−0.653473 | + | 0.756950i | \(0.726689\pi\) | |||||||
\(572\) | 3.49097 | − | 19.7983i | 0.145965 | − | 0.827809i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 4.00410 | + | 1.45737i | 0.167128 | + | 0.0608295i | ||||
\(575\) | 5.32803 | − | 1.93925i | 0.222194 | − | 0.0808721i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −8.82708 | − | 15.2890i | −0.367476 | − | 0.636488i | 0.621694 | − | 0.783260i | \(-0.286445\pi\) |
−0.989170 | + | 0.146773i | \(0.953111\pi\) | |||||||
\(578\) | 10.7638 | − | 18.6434i | 0.447714 | − | 0.775463i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −1.54992 | − | 8.79002i | −0.0643568 | − | 0.364986i | ||||
\(581\) | 0.786286 | − | 1.36189i | 0.0326206 | − | 0.0565006i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −31.7656 | + | 26.6545i | −1.31560 | + | 1.10392i | ||||
\(584\) | −5.63340 | + | 2.05039i | −0.233112 | + | 0.0848458i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 1.57679 | + | 1.32308i | 0.0651364 | + | 0.0546559i | ||||
\(587\) | −0.824684 | + | 4.67702i | −0.0340384 | + | 0.193041i | −0.997086 | − | 0.0762916i | \(-0.975692\pi\) |
0.963047 | + | 0.269333i | \(0.0868031\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −4.64619 | + | 9.31895i | −0.191443 | + | 0.383980i | ||||
\(590\) | 4.14709 | 0.170733 | ||||||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −4.03419 | − | 3.38509i | −0.165804 | − | 0.139126i | ||||
\(593\) | 4.38739 | + | 1.59688i | 0.180168 | + | 0.0655760i | 0.430529 | − | 0.902577i | \(-0.358327\pi\) |
−0.250361 | + | 0.968153i | \(0.580549\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 6.77929 | − | 5.68850i | 0.277924 | − | 0.233206i | ||||
\(596\) | −7.22559 | − | 12.5151i | −0.295972 | − | 0.512638i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 1.66562 | + | 9.44619i | 0.0681122 | + | 0.386284i | ||||
\(599\) | −5.76250 | − | 32.6807i | −0.235449 | − | 1.33530i | −0.841666 | − | 0.539999i | \(-0.818425\pi\) |
0.606216 | − | 0.795300i | \(-0.292687\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 9.35026 | + | 16.1951i | 0.381405 | + | 0.660613i | 0.991263 | − | 0.131898i | \(-0.0421070\pi\) |
−0.609858 | + | 0.792510i | \(0.708774\pi\) | |||||||
\(602\) | −0.197251 | + | 0.165513i | −0.00803935 | + | 0.00674581i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −18.1386 | − | 6.60192i | −0.738050 | − | 0.268628i | ||||
\(605\) | 17.0563 | + | 14.3120i | 0.693439 | + | 0.581865i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 8.41685 | 0.341629 | 0.170815 | − | 0.985303i | \(-0.445360\pi\) | ||||
0.170815 | + | 0.985303i | \(0.445360\pi\) | |||||||
\(608\) | −24.4370 | − | 7.23843i | −0.991053 | − | 0.293557i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 0.900437 | − | 5.10663i | 0.0364576 | − | 0.206761i | ||||
\(611\) | −0.913267 | − | 0.766322i | −0.0369468 | − | 0.0310021i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 32.7815 | − | 11.9315i | 1.32403 | − | 0.481908i | 0.419283 | − | 0.907855i | \(-0.362281\pi\) |
0.904748 | + | 0.425947i | \(0.140059\pi\) | |||||||
\(614\) | −15.4343 | + | 12.9509i | −0.622876 | + | 0.522655i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 9.33448 | − | 16.1678i | 0.376097 | − | 0.651419i | ||||
\(617\) | −7.14999 | − | 40.5496i | −0.287848 | − | 1.63247i | −0.694932 | − | 0.719076i | \(-0.744565\pi\) |
0.407084 | − | 0.913391i | \(-0.366546\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −8.59148 | + | 14.8809i | −0.345321 | + | 0.598113i | −0.985412 | − | 0.170186i | \(-0.945563\pi\) |
0.640091 | + | 0.768299i | \(0.278897\pi\) | |||||||
\(620\) | −1.77063 | − | 3.06682i | −0.0711102 | − | 0.123166i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 14.8256 | − | 5.39608i | 0.594453 | − | 0.216363i | ||||
\(623\) | −10.8597 | − | 3.95259i | −0.435083 | − | 0.158357i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 0.173648 | − | 0.984808i | 0.00694593 | − | 0.0393923i | ||||
\(626\) | −0.848957 | −0.0339311 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −27.5978 | −1.10127 | ||||||||
\(629\) | −5.38979 | + | 30.5670i | −0.214905 | + | 1.21879i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −9.86061 | − | 3.58897i | −0.392545 | − | 0.142875i | 0.138204 | − | 0.990404i | \(-0.455867\pi\) |
−0.530749 | + | 0.847529i | \(0.678089\pi\) | |||||||
\(632\) | 33.1828 | − | 12.0775i | 1.31994 | − | 0.480419i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −10.6992 | − | 18.5315i | −0.424918 | − | 0.735980i | ||||
\(635\) | −5.39636 | + | 9.34677i | −0.214148 | + | 0.370915i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −2.17666 | − | 12.3444i | −0.0862422 | − | 0.489104i | ||||
\(638\) | −12.4925 | + | 21.6377i | −0.494583 | + | 0.856643i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 7.92078 | − | 6.64632i | 0.313096 | − | 0.262719i | ||||
\(641\) | −3.51394 | + | 1.27897i | −0.138792 | + | 0.0505163i | −0.410482 | − | 0.911869i | \(-0.634640\pi\) |
0.271690 | + | 0.962385i | \(0.412417\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −10.8122 | − | 9.07254i | −0.426393 | − | 0.357786i | 0.404196 | − | 0.914672i | \(-0.367551\pi\) |
−0.830589 | + | 0.556886i | \(0.811996\pi\) | |||||||
\(644\) | 1.88562 | − | 10.6939i | 0.0743037 | − | 0.421397i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 5.01493 | + | 20.8882i | 0.197310 | + | 0.821834i | ||||
\(647\) | 41.4758 | 1.63058 | 0.815291 | − | 0.579052i | \(-0.196577\pi\) | ||||
0.815291 | + | 0.579052i | \(0.196577\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 25.4677 | + | 21.3699i | 0.999694 | + | 0.838843i | ||||
\(650\) | 1.58968 | + | 0.578597i | 0.0623524 | + | 0.0226944i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 11.2281 | − | 9.42146i | 0.439725 | − | 0.368973i | ||||
\(653\) | 18.2540 | + | 31.6169i | 0.714334 | + | 1.23726i | 0.963216 | + | 0.268729i | \(0.0866037\pi\) |
−0.248882 | + | 0.968534i | \(0.580063\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −2.19238 | − | 12.4336i | −0.0856634 | − | 0.485821i | ||||
\(656\) | 0.925189 | + | 5.24700i | 0.0361225 | + | 0.204861i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −0.235636 | − | 0.408133i | −0.00918604 | − | 0.0159107i | ||||
\(659\) | −12.7965 | + | 10.7376i | −0.498482 | + | 0.418276i | −0.857055 | − | 0.515226i | \(-0.827708\pi\) |
0.358572 | + | 0.933502i | \(0.383264\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 4.02830 | + | 1.46618i | 0.156683 | + | 0.0570278i | 0.419171 | − | 0.907907i | \(-0.362321\pi\) |
−0.262488 | + | 0.964935i | \(0.584543\pi\) | |||||||
\(662\) | 14.0201 | + | 11.7642i | 0.544905 | + | 0.457230i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −3.04965 | −0.118349 | ||||||||
\(665\) | −0.637465 | + | 5.59524i | −0.0247198 | + | 0.216974i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −5.92829 | + | 33.6210i | −0.229544 | + | 1.30181i | ||||
\(668\) | −13.6318 | − | 11.4384i | −0.527430 | − | 0.442567i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −6.91069 | + | 2.51529i | −0.266983 | + | 0.0971740i | ||||
\(671\) | 31.8441 | − | 26.7204i | 1.22933 | − | 1.03153i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 11.8988 | − | 20.6094i | 0.458666 | − | 0.794434i | −0.540224 | − | 0.841521i | \(-0.681661\pi\) |
0.998891 | + | 0.0470875i | \(0.0149940\pi\) | |||||||
\(674\) | −1.47483 | − | 8.36418i | −0.0568083 | − | 0.322176i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −5.53751 | + | 9.59125i | −0.212981 | + | 0.368894i | ||||
\(677\) | 8.95247 | + | 15.5061i | 0.344072 | + | 0.595949i | 0.985185 | − | 0.171497i | \(-0.0548604\pi\) |
−0.641113 | + | 0.767446i | \(0.721527\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 12.8624 | − | 4.68153i | 0.493613 | − | 0.179661i | ||||
\(680\) | −16.1270 | − | 5.86977i | −0.618444 | − | 0.225095i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −1.72135 | + | 9.76227i | −0.0659139 | + | 0.373817i | ||||
\(683\) | −8.10967 | −0.310308 | −0.155154 | − | 0.987890i | \(-0.549587\pi\) | ||||
−0.155154 | + | 0.987890i | \(0.549587\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 9.20449 | 0.351686 | ||||||||
\(686\) | 1.99027 | − | 11.2874i | 0.0759888 | − | 0.430954i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −0.302547 | − | 0.110118i | −0.0115345 | − | 0.00419821i | ||||
\(689\) | −15.8859 | + | 5.78199i | −0.605204 | + | 0.220276i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −4.61817 | − | 7.99890i | −0.175683 | − | 0.304293i | 0.764714 | − | 0.644370i | \(-0.222880\pi\) |
−0.940398 | + | 0.340077i | \(0.889547\pi\) | |||||||
\(692\) | −12.2357 | + | 21.1929i | −0.465133 | + | 0.805633i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −0.614601 | − | 3.48557i | −0.0233299 | − | 0.132311i | ||||
\(695\) | −2.37011 | + | 4.10516i | −0.0899035 | + | 0.155717i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 24.0555 | − | 20.1849i | 0.911166 | − | 0.764559i | ||||
\(698\) | −24.4951 | + | 8.91547i | −0.927151 | + | 0.337456i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −1.46709 | − | 1.23103i | −0.0554507 | − | 0.0465287i | ||||
\(701\) | 7.42346 | − | 42.1005i | 0.280380 | − | 1.59011i | −0.440955 | − | 0.897529i | \(-0.645360\pi\) |
0.721336 | − | 0.692586i | \(-0.243529\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −10.9014 | − | 16.4701i | −0.411156 | − | 0.621181i | ||||
\(704\) | −10.8560 | −0.409152 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −14.1038 | − | 11.8345i | −0.530805 | − | 0.445398i | ||||
\(707\) | 2.62363 | + | 0.954923i | 0.0986718 | + | 0.0359136i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 17.4610 | − | 14.6515i | 0.655762 | − | 0.550250i | −0.253051 | − | 0.967453i | \(-0.581434\pi\) |
0.908813 | + | 0.417203i | \(0.136990\pi\) | |||||||
\(710\) | 0.402749 | + | 0.697582i | 0.0151149 | + | 0.0261798i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 3.89170 | + | 22.0709i | 0.145848 | + | 0.827144i | ||||
\(713\) | 2.35206 | + | 13.3392i | 0.0880855 | + | 0.499557i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 6.78089 | + | 11.7448i | 0.253591 | + | 0.439232i | ||||
\(716\) | 22.9552 | − | 19.2617i | 0.857876 | − | 0.719843i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −20.8229 | − | 7.57890i | −0.777102 | − | 0.282842i | ||||
\(719\) | −21.6987 | − | 18.2073i | −0.809224 | − | 0.679019i | 0.141199 | − | 0.989981i | \(-0.454904\pi\) |
−0.950422 | + | 0.310962i | \(0.899349\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 11.7348 | 0.437027 | ||||||||
\(722\) | −11.4644 | − | 7.44491i | −0.426662 | − | 0.277071i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −0.0614330 | + | 0.348404i | −0.00228314 | + | 0.0129483i | ||||
\(725\) | 4.61245 | + | 3.87031i | 0.171302 | + | 0.143740i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −27.2512 | + | 9.91861i | −1.01069 | + | 0.367861i | −0.793698 | − | 0.608312i | \(-0.791847\pi\) |
−0.216992 | + | 0.976173i | \(0.569625\pi\) | |||||||
\(728\) | 5.83038 | − | 4.89227i | 0.216088 | − | 0.181320i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 0.860753 | − | 1.49087i | 0.0318579 | − | 0.0551795i | ||||
\(731\) | 0.329516 | + | 1.86878i | 0.0121876 | + | 0.0691192i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −8.37714 | + | 14.5096i | −0.309417 | + | 0.535925i | −0.978235 | − | 0.207501i | \(-0.933467\pi\) |
0.668818 | + | 0.743426i | \(0.266800\pi\) | |||||||
\(734\) | 10.8402 | + | 18.7757i | 0.400117 | + | 0.693024i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −31.1531 | + | 11.3388i | −1.14832 | + | 0.417954i | ||||
\(737\) | −55.4005 | − | 20.1641i | −2.04070 | − | 0.742756i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 0.254943 | − | 1.44586i | 0.00937824 | − | 0.0531866i | −0.979760 | − | 0.200178i | \(-0.935848\pi\) |
0.989138 | + | 0.146992i | \(0.0469590\pi\) | |||||||
\(740\) | 6.71698 | 0.246921 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −6.68271 | −0.245330 | ||||||||
\(743\) | −4.98854 | + | 28.2914i | −0.183012 | + | 1.03791i | 0.745472 | + | 0.666537i | \(0.232224\pi\) |
−0.928483 | + | 0.371374i | \(0.878887\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 9.16071 | + | 3.33423i | 0.335622 | + | 0.122157i | ||||
\(746\) | −18.9465 | + | 6.89595i | −0.693679 | + | 0.252479i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −29.2830 | − | 50.7196i | −1.07069 | − | 1.85449i | ||||
\(749\) | −2.49903 | + | 4.32845i | −0.0913126 | + | 0.158158i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −8.78054 | − | 49.7969i | −0.320406 | − | 1.81712i | −0.540163 | − | 0.841560i | \(-0.681637\pi\) |
0.219757 | − | 0.975555i | \(-0.429474\pi\) | |||||||
\(752\) | 0.294634 | − | 0.510321i | 0.0107442 | − | 0.0186095i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −7.80291 | + | 6.54741i | −0.284165 | + | 0.238443i | ||||
\(755\) | 12.2361 | − | 4.45359i | 0.445318 | − | 0.162083i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 5.88606 | + | 4.93899i | 0.213932 | + | 0.179511i | 0.743456 | − | 0.668784i | \(-0.233185\pi\) |
−0.529524 | + | 0.848295i | \(0.677629\pi\) | |||||||
\(758\) | 2.82546 | − | 16.0240i | 0.102625 | − | 0.582017i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 10.0151 | − | 4.35475i | 0.363285 | − | 0.157963i | ||||
\(761\) | −39.1347 | −1.41863 | −0.709315 | − | 0.704891i | \(-0.750996\pi\) | ||||
−0.709315 | + | 0.704891i | \(0.750996\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −16.5196 | − | 13.8616i | −0.598051 | − | 0.501824i | ||||
\(764\) | 0.450250 | + | 0.163878i | 0.0162895 | + | 0.00592888i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 5.52415 | − | 4.63531i | 0.199596 | − | 0.167481i | ||||
\(767\) | 6.77686 | + | 11.7379i | 0.244698 | + | 0.423829i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −5.81543 | − | 32.9809i | −0.209710 | − | 1.18932i | −0.889854 | − | 0.456245i | \(-0.849194\pi\) |
0.680145 | − | 0.733078i | \(-0.261917\pi\) | |||||||
\(770\) | 0.930923 | + | 5.27953i | 0.0335482 | + | 0.190261i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 1.08476 | + | 1.87887i | 0.0390415 | + | 0.0676219i | ||||
\(773\) | −0.361162 | + | 0.303051i | −0.0129901 | + | 0.0109000i | −0.649260 | − | 0.760567i | \(-0.724921\pi\) |
0.636269 | + | 0.771467i | \(0.280477\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 2.24483 | + | 0.817051i | 0.0806367 | + | 0.0293493i | ||||
\(776\) | −20.3343 | − | 17.0625i | −0.729959 | − | 0.612508i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −5.25326 | −0.188338 | ||||||||
\(779\) | −2.26197 | + | 19.8540i | −0.0810433 | + | 0.711344i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −1.12131 | + | 6.35928i | −0.0401237 | + | 0.227553i | ||||
\(782\) | 21.4056 | + | 17.9614i | 0.765463 | + | 0.642300i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 5.82202 | − | 2.11904i | 0.207929 | − | 0.0756801i | ||||
\(785\) | 14.2616 | − | 11.9669i | 0.509018 | − | 0.427116i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 0.935856 | − | 1.62095i | 0.0333596 | − | 0.0577806i | −0.848864 | − | 0.528612i | \(-0.822713\pi\) |
0.882223 | + | 0.470831i | \(0.156046\pi\) | |||||||
\(788\) | −2.45831 | − | 13.9417i | −0.0875735 | − | 0.496654i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −5.07015 | + | 8.78175i | −0.180388 | + | 0.312441i | ||||
\(791\) | −11.6805 | − | 20.2313i | −0.415312 | − | 0.719342i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 15.9251 | − | 5.79628i | 0.565519 | − | 0.205832i | ||||
\(794\) | −24.5861 | − | 8.94859i | −0.872526 | − | 0.317574i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −0.359915 | + | 2.04118i | −0.0127569 | + | 0.0723478i | ||||
\(797\) | 38.5450 | 1.36533 | 0.682666 | − | 0.730730i | \(-0.260820\pi\) | ||||
0.682666 | + | 0.730730i | \(0.260820\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −3.47306 | −0.122868 | ||||||||
\(800\) | −1.01532 | + | 5.75818i | −0.0358971 | + | 0.203583i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −6.18346 | − | 2.25060i | −0.218346 | − | 0.0794713i | ||||
\(803\) | 12.9684 | − | 4.72011i | 0.457645 | − | 0.166569i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 3.66263 | + | 6.34386i | 0.129091 | + | 0.223592i | ||||
\(806\) | −2.02065 | + | 3.49987i | −0.0711745 | + | 0.123278i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −0.940213 | − | 5.33221i | −0.0330766 | − | 0.187587i | ||||
\(809\) | 8.78371 | − | 15.2138i | 0.308819 | − | 0.534890i | −0.669285 | − | 0.743005i | \(-0.733400\pi\) |
0.978104 | + | 0.208115i | \(0.0667330\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −27.2855 | + | 22.8953i | −0.958125 | + | 0.803962i | −0.980647 | − | 0.195784i | \(-0.937275\pi\) |
0.0225221 | + | 0.999746i | \(0.492830\pi\) | |||||||
\(812\) | 10.8359 | − | 3.94396i | 0.380267 | − | 0.138406i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −14.4035 | − | 12.0860i | −0.504844 | − | 0.423614i | ||||
\(815\) | −1.71696 | + | 9.73738i | −0.0601426 | + | 0.341086i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −0.970679 | − | 0.718256i | −0.0339598 | − | 0.0251286i | ||||
\(818\) | 3.37628 | 0.118049 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −5.20578 | − | 4.36817i | −0.181794 | − | 0.152543i | ||||
\(821\) | −24.1772 | − | 8.79979i | −0.843791 | − | 0.307115i | −0.116285 | − | 0.993216i | \(-0.537099\pi\) |
−0.727506 | + | 0.686101i | \(0.759321\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −10.2945 | + | 8.63812i | −0.358844 | + | 0.301106i | −0.804330 | − | 0.594183i | \(-0.797475\pi\) |
0.445486 | + | 0.895289i | \(0.353031\pi\) | |||||||
\(824\) | −11.3785 | − | 19.7081i | −0.396388 | − | 0.686565i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 0.930370 | + | 5.27639i | 0.0323717 | + | 0.183589i | ||||
\(827\) | 1.48361 | + | 8.41399i | 0.0515903 | + | 0.292583i | 0.999677 | − | 0.0254301i | \(-0.00809552\pi\) |
−0.948086 | + | 0.318013i | \(0.896984\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 6.74559 | + | 11.6837i | 0.234284 | + | 0.405792i | 0.959064 | − | 0.283188i | \(-0.0913921\pi\) |
−0.724780 | + | 0.688980i | \(0.758059\pi\) | |||||||
\(830\) | 0.670853 | − | 0.562912i | 0.0232856 | − | 0.0195390i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −4.15891 | − | 1.51372i | −0.144184 | − | 0.0524787i | ||||
\(833\) | −27.9732 | − | 23.4723i | −0.969213 | − | 0.813267i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 12.0044 | 0.415428 | ||||||||
\(836\) | 35.7332 | + | 10.5844i | 1.23586 | + | 0.366070i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −0.0735198 | + | 0.416952i | −0.00253970 | + | 0.0144034i | ||||
\(839\) | 1.90844 | + | 1.60137i | 0.0658865 | + | 0.0552853i | 0.675136 | − | 0.737693i | \(-0.264085\pi\) |
−0.609250 | + | 0.792978i | \(0.708529\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −6.81655 | + | 2.48102i | −0.235054 | + | 0.0855525i | ||||
\(842\) | 3.39084 | − | 2.84526i | 0.116856 | − | 0.0980540i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −12.5919 | + | 21.8098i | −0.433432 | + | 0.750726i | ||||
\(845\) | −1.29734 | − | 7.35759i | −0.0446299 | − | 0.253109i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −14.3828 | + | 24.9118i | −0.494200 | + | 0.855979i | ||||
\(848\) | −4.17796 | − | 7.23644i | −0.143472 | − | 0.248500i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 4.63104 | − | 1.68556i | 0.158843 | − | 0.0578143i | ||||
\(851\) | −24.1424 | − | 8.78712i | −0.827592 | − | 0.301219i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −5.82355 | + | 33.0270i | −0.199395 | + | 1.13082i | 0.706625 | + | 0.707588i | \(0.250217\pi\) |
−0.906020 | + | 0.423235i | \(0.860894\pi\) | |||||||
\(854\) | 6.69923 | 0.229243 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 9.69260 | 0.331286 | ||||||||
\(857\) | −1.76650 | + | 10.0183i | −0.0603425 | + | 0.342219i | 0.939658 | + | 0.342117i | \(0.111144\pi\) |
−1.00000 | 0.000102570i | \(0.999967\pi\) | ||||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −25.6251 | − | 9.32677i | −0.874317 | − | 0.318225i | −0.134403 | − | 0.990927i | \(-0.542912\pi\) |
−0.739914 | + | 0.672702i | \(0.765134\pi\) | |||||||
\(860\) | 0.385891 | − | 0.140453i | 0.0131588 | − | 0.00478940i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 0.113536 | + | 0.196650i | 0.00386704 | + | 0.00669791i | ||||
\(863\) | 9.37937 | − | 16.2455i | 0.319278 | − | 0.553005i | −0.661060 | − | 0.750333i | \(-0.729893\pi\) |
0.980337 | + | 0.197328i | \(0.0632265\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −2.86662 | − | 16.2574i | −0.0974680 | − | 0.552768i | ||||
\(866\) | 12.3207 | − | 21.3400i | 0.418673 | − | 0.725163i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 3.50472 | − | 2.94081i | 0.118958 | − | 0.0998177i | ||||
\(869\) | −76.3886 | + | 27.8032i | −2.59131 | + | 0.943158i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −18.4122 | − | 15.4496i | −0.623872 | − | 0.523491i | ||||
\(872\) | −7.26199 | + | 41.1848i | −0.245922 | + | 1.39469i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −17.7481 | + | 1.08562i | −0.600338 | + | 0.0367216i | ||||
\(875\) | 1.29194 | 0.0436755 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 17.6865 | + | 14.8407i | 0.597230 | + | 0.501135i | 0.890554 | − | 0.454878i | \(-0.150317\pi\) |
−0.293324 | + | 0.956013i | \(0.594761\pi\) | |||||||
\(878\) | −1.41417 | − | 0.514715i | −0.0477258 | − | 0.0173708i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −5.13498 | + | 4.30876i | −0.173100 | + | 0.145248i | ||||
\(881\) | 27.3103 | + | 47.3029i | 0.920108 | + | 1.59367i | 0.799245 | + | 0.601005i | \(0.205233\pi\) |
0.120863 | + | 0.992669i | \(0.461434\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −3.22999 | − | 18.3182i | −0.108698 | − | 0.616456i | −0.989679 | − | 0.143304i | \(-0.954227\pi\) |
0.880981 | − | 0.473152i | \(-0.156884\pi\) | |||||||
\(884\) | −4.14608 | − | 23.5136i | −0.139448 | − | 0.790848i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 3.05862 | + | 5.29769i | 0.102756 | + | 0.177979i | ||||
\(887\) | 2.87998 | − | 2.41659i | 0.0967001 | − | 0.0811410i | −0.593156 | − | 0.805088i | \(-0.702118\pi\) |
0.689856 | + | 0.723947i | \(0.257674\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −13.1026 | − | 4.76897i | −0.439448 | − | 0.159946i | ||||
\(890\) | −4.93000 | − | 4.13676i | −0.165254 | − | 0.138665i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −17.4444 | −0.584082 | ||||||||
\(893\) | 1.60310 | − | 1.52130i | 0.0536458 | − | 0.0509085i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −3.51024 | + | 19.9076i | −0.117334 | + | 0.665437i | ||||
\(896\) | 10.2332 | + | 8.58664i | 0.341866 | + | 0.286860i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 10.4905 | − | 3.81825i | 0.350074 | − | 0.127417i | ||||
\(899\) | −11.0187 | + | 9.24577i | −0.367494 | + | 0.308364i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −24.6243 | + | 42.6506i | −0.820355 | + | 1.42090i | ||||
\(902\) | 3.30327 | + | 18.7338i | 0.109987 | + | 0.623766i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −22.6518 | + | 39.2340i | −0.753387 | + | 1.30490i | ||||
\(905\) | −0.119328 | − | 0.206682i | −0.00396659 | − | 0.00687033i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 22.7463 | − | 8.27896i | 0.755277 | − | 0.274898i | 0.0644525 | − | 0.997921i | \(-0.479470\pi\) |
0.690825 | + | 0.723022i | \(0.257248\pi\) | |||||||
\(908\) | −38.3218 | − | 13.9480i | −1.27175 | − | 0.462880i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −0.379522 | + | 2.15237i | −0.0125810 | + | 0.0713505i | ||||
\(911\) | −29.7647 | −0.986148 | −0.493074 | − | 0.869987i | \(-0.664127\pi\) | ||||
−0.493074 | + | 0.869987i | \(0.664127\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 7.02046 | 0.232343 | ||||||||
\(914\) | −4.65911 | + | 26.4231i | −0.154110 | + | 0.873999i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −13.1074 | − | 4.77070i | −0.433080 | − | 0.157628i | ||||
\(917\) | 15.3276 | − | 5.57878i | 0.506161 | − | 0.184228i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −22.8174 | − | 39.5210i | −0.752678 | − | 1.30368i | −0.946520 | − | 0.322644i | \(-0.895428\pi\) |
0.193842 | − | 0.981033i | \(-0.437905\pi\) | |||||||
\(920\) | 7.10284 | − | 12.3025i | 0.234174 | − | 0.405601i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −2.18920 | − | 12.4156i | −0.0720974 | − | 0.408885i | ||||
\(923\) | −1.31628 | + | 2.27987i | −0.0433260 | + | 0.0750428i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −3.47111 | + | 2.91260i | −0.114129 | + | 0.0957658i | ||||
\(926\) | −22.6061 | + | 8.22793i | −0.742881 | + | 0.270387i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −26.9691 | − | 22.6297i | −0.885304 | − | 0.742858i | ||||
\(929\) | 4.73685 | − | 26.8640i | 0.155411 | − | 0.881380i | −0.802998 | − | 0.595982i | \(-0.796763\pi\) |
0.958409 | − | 0.285398i | \(-0.0921259\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 23.1935 | − | 1.41870i | 0.760135 | − | 0.0464962i | ||||
\(932\) | 1.65631 | 0.0542541 | ||||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 8.24600 | + | 6.91922i | 0.269817 | + | 0.226404i | ||||
\(935\) | 37.1254 | + | 13.5125i | 1.21413 | + | 0.441907i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 33.5860 | − | 28.1820i | 1.09721 | − | 0.920666i | 0.0999724 | − | 0.994990i | \(-0.468125\pi\) |
0.997234 | + | 0.0743247i | \(0.0236801\pi\) | |||||||
\(938\) | −4.75059 | − | 8.22827i | −0.155112 | − | 0.268663i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 0.130513 | + | 0.740178i | 0.00425687 | + | 0.0241419i | ||||
\(941\) | 7.61144 | + | 43.1666i | 0.248126 | + | 1.40719i | 0.813120 | + | 0.582096i | \(0.197767\pi\) |
−0.564994 | + | 0.825095i | \(0.691122\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 12.9964 | + | 22.5104i | 0.423221 | + | 0.733040i | ||||
\(944\) | −5.13193 | + | 4.30620i | −0.167030 | + | 0.140155i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −1.08020 | − | 0.393162i | −0.0351205 | − | 0.0127828i | ||||
\(947\) | −10.4462 | − | 8.76541i | −0.339456 | − | 0.284838i | 0.457083 | − | 0.889424i | \(-0.348894\pi\) |
−0.796540 | + | 0.604586i | \(0.793339\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 5.62631 | 0.182638 | ||||||||
\(950\) | −1.39928 | + | 2.80656i | −0.0453986 | + | 0.0910567i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 3.85018 | − | 21.8355i | 0.124785 | − | 0.707692i | ||||
\(953\) | −9.46945 | − | 7.94581i | −0.306746 | − | 0.257390i | 0.476400 | − | 0.879229i | \(-0.341941\pi\) |
−0.783145 | + | 0.621839i | \(0.786386\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −0.303734 | + | 0.110550i | −0.00982860 | + | 0.00357732i | ||||
\(956\) | −14.7233 | + | 12.3543i | −0.476185 | + | 0.399566i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 5.69654 | − | 9.86669i | 0.184047 | − | 0.318778i | ||||
\(959\) | 2.06496 | + | 11.7110i | 0.0666811 | + | 0.378167i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 12.6466 | − | 21.9045i | 0.407954 | − | 0.706598i | ||||
\(962\) | −3.83273 | − | 6.63848i | −0.123572 | − | 0.214033i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −28.4655 | + | 10.3606i | −0.916810 | + | 0.333692i | ||||
\(965\) | −1.37528 | − | 0.500561i | −0.0442718 | − | 0.0161136i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −2.82125 | + | 16.0001i | −0.0907254 | + | 0.514529i | 0.905248 | + | 0.424883i | \(0.139685\pi\) |
−0.995974 | + | 0.0896462i | \(0.971426\pi\) | |||||||
\(968\) | 55.7845 | 1.79298 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 7.62252 | 0.244744 | ||||||||
\(971\) | −5.64449 | + | 32.0115i | −0.181140 | + | 1.02730i | 0.749674 | + | 0.661807i | \(0.230210\pi\) |
−0.930815 | + | 0.365491i | \(0.880901\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −5.75476 | − | 2.09456i | −0.184489 | − | 0.0671485i | ||||
\(974\) | 4.39130 | − | 1.59830i | 0.140706 | − | 0.0512129i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 4.18829 | + | 7.25433i | 0.134064 | + | 0.232205i | ||||
\(977\) | 6.29447 | − | 10.9023i | 0.201378 | − | 0.348797i | −0.747595 | − | 0.664155i | \(-0.768791\pi\) |
0.948973 | + | 0.315359i | \(0.102125\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −8.95892 | − | 50.8085i | −0.286328 | − | 1.62385i | ||||
\(980\) | −3.95121 | + | 6.84370i | −0.126217 | + | 0.218614i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −0.927679 | + | 0.778415i | −0.0296034 | + | 0.0248402i | ||||
\(983\) | 29.9686 | − | 10.9077i | 0.955850 | − | 0.347901i | 0.183444 | − | 0.983030i | \(-0.441275\pi\) |
0.772406 | + | 0.635129i | \(0.219053\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 7.31576 | + | 6.13865i | 0.233100 | + | 0.195594i | ||||
\(986\) | −5.15277 | + | 29.2228i | −0.164098 | + | 0.930645i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 12.2134 | + | 9.03734i | 0.388560 | + | 0.287516i | ||||
\(989\) | −1.57072 | −0.0499461 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 6.27678 | + | 5.26685i | 0.199389 | + | 0.167307i | 0.737015 | − | 0.675876i | \(-0.236235\pi\) |
−0.537627 | + | 0.843183i | \(0.680679\pi\) | |||||||
\(992\) | −13.1255 | − | 4.77731i | −0.416737 | − | 0.151680i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −0.797188 | + | 0.668920i | −0.0252853 | + | 0.0212168i | ||||
\(995\) | −0.699101 | − | 1.21088i | −0.0221630 | − | 0.0383874i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −2.85615 | − | 16.1980i | −0.0904552 | − | 0.512997i | −0.996046 | − | 0.0888435i | \(-0.971683\pi\) |
0.905590 | − | 0.424153i | \(-0.139428\pi\) | |||||||
\(998\) | −1.66614 | − | 9.44914i | −0.0527407 | − | 0.299107i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 855.2.bs.b.226.2 | 18 | ||
3.2 | odd | 2 | 95.2.k.b.36.2 | ✓ | 18 | ||
15.2 | even | 4 | 475.2.u.c.74.4 | 36 | |||
15.8 | even | 4 | 475.2.u.c.74.3 | 36 | |||
15.14 | odd | 2 | 475.2.l.b.226.2 | 18 | |||
19.9 | even | 9 | inner | 855.2.bs.b.541.2 | 18 | ||
57.35 | odd | 18 | 1805.2.a.t.1.6 | 9 | |||
57.41 | even | 18 | 1805.2.a.u.1.4 | 9 | |||
57.47 | odd | 18 | 95.2.k.b.66.2 | yes | 18 | ||
285.47 | even | 36 | 475.2.u.c.199.3 | 36 | |||
285.104 | odd | 18 | 475.2.l.b.351.2 | 18 | |||
285.149 | odd | 18 | 9025.2.a.ce.1.4 | 9 | |||
285.218 | even | 36 | 475.2.u.c.199.4 | 36 | |||
285.269 | even | 18 | 9025.2.a.cd.1.6 | 9 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
95.2.k.b.36.2 | ✓ | 18 | 3.2 | odd | 2 | ||
95.2.k.b.66.2 | yes | 18 | 57.47 | odd | 18 | ||
475.2.l.b.226.2 | 18 | 15.14 | odd | 2 | |||
475.2.l.b.351.2 | 18 | 285.104 | odd | 18 | |||
475.2.u.c.74.3 | 36 | 15.8 | even | 4 | |||
475.2.u.c.74.4 | 36 | 15.2 | even | 4 | |||
475.2.u.c.199.3 | 36 | 285.47 | even | 36 | |||
475.2.u.c.199.4 | 36 | 285.218 | even | 36 | |||
855.2.bs.b.226.2 | 18 | 1.1 | even | 1 | trivial | ||
855.2.bs.b.541.2 | 18 | 19.9 | even | 9 | inner | ||
1805.2.a.t.1.6 | 9 | 57.35 | odd | 18 | |||
1805.2.a.u.1.4 | 9 | 57.41 | even | 18 | |||
9025.2.a.cd.1.6 | 9 | 285.269 | even | 18 | |||
9025.2.a.ce.1.4 | 9 | 285.149 | odd | 18 |