Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [504,2,Mod(125,504)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(504, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([0, 1, 1, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("504.125");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 504 = 2^{3} \cdot 3^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 504.i (of order \(2\), degree \(1\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.02446026187\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 125.8 | ||
Character | \(\chi\) | \(=\) | 504.125 |
Dual form | 504.2.i.b.125.5 |
$q$-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 \(\left(\mathbb{Z}/504\mathbb{Z}\right)^\times\).
\(n\) | \(73\) | \(127\) | \(253\) | \(281\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(-1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.909039 | + | 1.08335i | −0.642788 | + | 0.766044i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.347296 | − | 1.96962i | −0.173648 | − | 0.984808i | ||||
\(5\) | 3.85006i | 1.72180i | 0.508776 | + | 0.860899i | \(0.330098\pi\) | ||||
−0.508776 | + | 0.860899i | \(0.669902\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 1.87939 | + | 1.86223i | 0.710341 | + | 0.703858i | ||||
\(8\) | 2.44949 | + | 1.41421i | 0.866025 | + | 0.500000i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −4.17096 | − | 3.49985i | −1.31897 | − | 1.10675i | ||||
\(11\) | −4.26757 | −1.28672 | −0.643360 | − | 0.765564i | \(-0.722460\pi\) | ||||
−0.643360 | + | 0.765564i | \(0.722460\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 1.89096 | 0.524458 | 0.262229 | − | 0.965006i | \(-0.415542\pi\) | ||||
0.262229 | + | 0.965006i | \(0.415542\pi\) | |||||||
\(14\) | −3.72589 | + | 0.343191i | −0.995785 | + | 0.0917216i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −3.75877 | + | 1.36808i | −0.939693 | + | 0.342020i | ||||
\(17\) | 6.66850 | 1.61735 | 0.808674 | − | 0.588257i | \(-0.200186\pi\) | ||||
0.808674 | + | 0.588257i | \(0.200186\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −2.89712 | −0.664645 | −0.332322 | − | 0.943166i | \(-0.607832\pi\) | ||||
−0.332322 | + | 0.943166i | \(0.607832\pi\) | |||||||
\(20\) | 7.58313 | − | 1.33711i | 1.69564 | − | 0.298987i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 3.87939 | − | 4.62327i | 0.827088 | − | 0.985685i | ||||
\(23\) | 1.73479i | 0.361729i | 0.983508 | + | 0.180864i | \(0.0578895\pi\) | ||||
−0.983508 | + | 0.180864i | \(0.942111\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −9.82295 | −1.96459 | ||||||||
\(26\) | −1.71896 | + | 2.04857i | −0.337115 | + | 0.401758i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 3.01518 | − | 4.34841i | 0.569815 | − | 0.821773i | ||||
\(29\) | −3.12142 | −0.579634 | −0.289817 | − | 0.957082i | \(-0.593594\pi\) | ||||
−0.289817 | + | 0.957082i | \(0.593594\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 1.29349i | 0.232318i | 0.993231 | + | 0.116159i | \(0.0370583\pi\) | ||||
−0.993231 | + | 0.116159i | \(0.962942\pi\) | |||||||
\(32\) | 1.93476 | − | 5.31570i | 0.342020 | − | 0.939693i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −6.06192 | + | 7.22432i | −1.03961 | + | 1.23896i | ||||
\(35\) | −7.16970 | + | 7.23574i | −1.21190 | + | 1.22306i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 2.26103i | 0.371711i | 0.982577 | + | 0.185856i | \(0.0595057\pi\) | ||||
−0.982577 | + | 0.185856i | \(0.940494\pi\) | |||||||
\(38\) | 2.63359 | − | 3.13860i | 0.427226 | − | 0.509148i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −5.44480 | + | 9.43068i | −0.860899 | + | 1.49112i | ||||
\(41\) | −8.49777 | −1.32713 | −0.663565 | − | 0.748119i | \(-0.730957\pi\) | ||||
−0.663565 | + | 0.748119i | \(0.730957\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 2.09602i | 0.319640i | 0.987146 | + | 0.159820i | \(0.0510914\pi\) | ||||
−0.987146 | + | 0.159820i | \(0.948909\pi\) | |||||||
\(44\) | 1.48211 | + | 8.40547i | 0.223437 | + | 1.26717i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −1.87939 | − | 1.57699i | −0.277100 | − | 0.232515i | ||||
\(47\) | −9.89908 | −1.44393 | −0.721965 | − | 0.691930i | \(-0.756761\pi\) | ||||
−0.721965 | + | 0.691930i | \(0.756761\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 0.0641778 | + | 6.99971i | 0.00916825 | + | 0.999958i | ||||
\(50\) | 8.92944 | − | 10.6417i | 1.26281 | − | 1.50496i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −0.656724 | − | 3.72447i | −0.0910712 | − | 0.516490i | ||||
\(53\) | 5.05618 | 0.694520 | 0.347260 | − | 0.937769i | \(-0.387112\pi\) | ||||
0.347260 | + | 0.937769i | \(0.387112\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | − | 16.4304i | − | 2.21547i | ||||||
\(56\) | 1.96994 | + | 7.21937i | 0.263244 | + | 0.964729i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 2.83750 | − | 3.38160i | 0.372582 | − | 0.444025i | ||||
\(59\) | 2.67422i | 0.348154i | 0.984732 | + | 0.174077i | \(0.0556942\pi\) | ||||
−0.984732 | + | 0.174077i | \(0.944306\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 13.1300 | 1.68112 | 0.840562 | − | 0.541715i | \(-0.182225\pi\) | ||||
0.840562 | + | 0.541715i | \(0.182225\pi\) | |||||||
\(62\) | −1.40131 | − | 1.17584i | −0.177966 | − | 0.149331i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 4.00000 | + | 6.92820i | 0.500000 | + | 0.866025i | ||||
\(65\) | 7.28031i | 0.903011i | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | − | 10.8674i | − | 1.32767i | −0.747880 | − | 0.663834i | \(-0.768928\pi\) | ||
0.747880 | − | 0.663834i | \(-0.231072\pi\) | |||||||
\(68\) | −2.31594 | − | 13.1344i | −0.280850 | − | 1.59278i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −1.32130 | − | 14.3449i | −0.157926 | − | 1.71454i | ||||
\(71\) | − | 15.5358i | − | 1.84376i | −0.387479 | − | 0.921879i | \(-0.626654\pi\) | ||
0.387479 | − | 0.921879i | \(-0.373346\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 9.43068i | 1.10378i | 0.833918 | + | 0.551889i | \(0.186093\pi\) | ||||
−0.833918 | + | 0.551889i | \(0.813907\pi\) | |||||||
\(74\) | −2.44949 | − | 2.05537i | −0.284747 | − | 0.238931i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 1.00616 | + | 5.70621i | 0.115414 | + | 0.654547i | ||||
\(77\) | −8.02040 | − | 7.94720i | −0.914010 | − | 0.905668i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 4.08378 | 0.459461 | 0.229730 | − | 0.973254i | \(-0.426216\pi\) | ||||
0.229730 | + | 0.973254i | \(0.426216\pi\) | |||||||
\(80\) | −5.26719 | − | 14.4715i | −0.588890 | − | 1.61796i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 7.72481 | − | 9.20607i | 0.853062 | − | 1.01664i | ||||
\(83\) | 11.7973i | 1.29492i | 0.762100 | + | 0.647459i | \(0.224168\pi\) | ||||
−0.762100 | + | 0.647459i | \(0.775832\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 25.6741i | 2.78475i | ||||||||
\(86\) | −2.27073 | − | 1.90536i | −0.244859 | − | 0.205461i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −10.4534 | − | 6.03525i | −1.11433 | − | 0.643360i | ||||
\(89\) | 11.3004 | 1.19784 | 0.598919 | − | 0.800809i | \(-0.295597\pi\) | ||||
0.598919 | + | 0.800809i | \(0.295597\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 3.55384 | + | 3.52141i | 0.372544 | + | 0.369144i | ||||
\(92\) | 3.41687 | − | 0.602486i | 0.356233 | − | 0.0628135i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 8.99865 | − | 10.7242i | 0.928140 | − | 1.10611i | ||||
\(95\) | − | 11.1541i | − | 1.14438i | ||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 1.98175i | 0.201216i | 0.994926 | + | 0.100608i | \(0.0320788\pi\) | ||||
−0.994926 | + | 0.100608i | \(0.967921\pi\) | |||||||
\(98\) | −7.64147 | − | 6.29348i | −0.771905 | − | 0.635737i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 3.41147 | + | 19.3474i | 0.341147 | + | 1.93474i | ||||
\(101\) | 3.85006i | 0.383095i | 0.981483 | + | 0.191548i | \(0.0613506\pi\) | ||||
−0.981483 | + | 0.191548i | \(0.938649\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 1.29349i | 0.127452i | 0.997967 | + | 0.0637258i | \(0.0202983\pi\) | ||||
−0.997967 | + | 0.0637258i | \(0.979702\pi\) | |||||||
\(104\) | 4.63189 | + | 2.67422i | 0.454194 | + | 0.262229i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −4.59627 | + | 5.47762i | −0.446429 | + | 0.532033i | ||||
\(107\) | 12.2118 | 1.18056 | 0.590280 | − | 0.807198i | \(-0.299017\pi\) | ||||
0.590280 | + | 0.807198i | \(0.299017\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | − | 1.05796i | − | 0.101334i | −0.998716 | − | 0.0506672i | \(-0.983865\pi\) | ||
0.998716 | − | 0.0506672i | \(-0.0161348\pi\) | |||||||
\(110\) | 17.7999 | + | 14.9359i | 1.69715 | + | 1.42408i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −9.61186 | − | 4.42856i | −0.908236 | − | 0.418459i | ||||
\(113\) | 1.93689i | 0.182207i | 0.995841 | + | 0.0911034i | \(0.0290394\pi\) | ||||
−0.995841 | + | 0.0911034i | \(0.970961\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −6.67904 | −0.622824 | ||||||||
\(116\) | 1.08406 | + | 6.14801i | 0.100652 | + | 0.570828i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −2.89712 | − | 2.43097i | −0.266702 | − | 0.223789i | ||||
\(119\) | 12.5327 | + | 12.4183i | 1.14887 | + | 1.13838i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 7.21213 | 0.655649 | ||||||||
\(122\) | −11.9357 | + | 14.2244i | −1.08061 | + | 1.28782i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 2.54768 | − | 0.449226i | 0.228789 | − | 0.0403416i | ||||
\(125\) | − | 18.5686i | − | 1.66083i | ||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 15.4338 | 1.36952 | 0.684762 | − | 0.728766i | \(-0.259906\pi\) | ||||
0.684762 | + | 0.728766i | \(0.259906\pi\) | |||||||
\(128\) | −11.1418 | − | 1.96460i | −0.984808 | − | 0.173648i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −7.88713 | − | 6.61808i | −0.691747 | − | 0.580444i | ||||
\(131\) | − | 16.8232i | − | 1.46985i | −0.678151 | − | 0.734923i | \(-0.737218\pi\) | ||
0.678151 | − | 0.734923i | \(-0.262782\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −5.44480 | − | 5.39511i | −0.472124 | − | 0.467816i | ||||
\(134\) | 11.7732 | + | 9.87892i | 1.01705 | + | 0.853409i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 16.3344 | + | 9.43068i | 1.40066 | + | 0.808674i | ||||
\(137\) | 3.26034i | 0.278549i | 0.990254 | + | 0.139275i | \(0.0444771\pi\) | ||||
−0.990254 | + | 0.139275i | \(0.955523\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 10.8896 | 0.923645 | 0.461822 | − | 0.886972i | \(-0.347196\pi\) | ||||
0.461822 | + | 0.886972i | \(0.347196\pi\) | |||||||
\(140\) | 16.7416 | + | 11.6086i | 1.41493 | + | 0.981107i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 16.8307 | + | 14.1226i | 1.41240 | + | 1.18514i | ||||
\(143\) | −8.06980 | −0.674831 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | − | 12.0177i | − | 0.998013i | ||||||
\(146\) | −10.2167 | − | 8.57285i | −0.845543 | − | 0.709494i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 4.45336 | − | 0.785248i | 0.366064 | − | 0.0645470i | ||||
\(149\) | 20.4251 | 1.67329 | 0.836643 | − | 0.547749i | \(-0.184515\pi\) | ||||
0.836643 | + | 0.547749i | \(0.184515\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 12.0155 | 0.977806 | 0.488903 | − | 0.872338i | \(-0.337397\pi\) | ||||
0.488903 | + | 0.872338i | \(0.337397\pi\) | |||||||
\(152\) | −7.09647 | − | 4.09715i | −0.575599 | − | 0.332322i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 15.9005 | − | 1.46459i | 1.28130 | − | 0.118020i | ||||
\(155\) | −4.98002 | −0.400005 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 13.1300 | 1.04789 | 0.523944 | − | 0.851753i | \(-0.324460\pi\) | ||||
0.523944 | + | 0.851753i | \(0.324460\pi\) | |||||||
\(158\) | −3.71231 | + | 4.42416i | −0.295336 | + | 0.351967i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 20.4658 | + | 7.44893i | 1.61796 | + | 0.588890i | ||||
\(161\) | −3.23058 | + | 3.26034i | −0.254606 | + | 0.256951i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | − | 9.41155i | − | 0.737170i | −0.929594 | − | 0.368585i | \(-0.879842\pi\) | ||
0.929594 | − | 0.368585i | \(-0.120158\pi\) | |||||||
\(164\) | 2.95125 | + | 16.7373i | 0.230454 | + | 1.30697i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −12.7806 | − | 10.7242i | −0.991965 | − | 0.832357i | ||||
\(167\) | −3.43791 | −0.266034 | −0.133017 | − | 0.991114i | \(-0.542466\pi\) | ||||
−0.133017 | + | 0.991114i | \(0.542466\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −9.42427 | −0.724944 | ||||||||
\(170\) | −27.8140 | − | 23.3388i | −2.13324 | − | 1.79000i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 4.12836 | − | 0.727940i | 0.314784 | − | 0.0555049i | ||||
\(173\) | 9.37013i | 0.712398i | 0.934410 | + | 0.356199i | \(0.115927\pi\) | ||||
−0.934410 | + | 0.356199i | \(0.884073\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −18.4611 | − | 18.2926i | −1.39553 | − | 1.38279i | ||||
\(176\) | 16.0408 | − | 5.83838i | 1.20912 | − | 0.440084i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −10.2725 | + | 12.2423i | −0.769956 | + | 0.917597i | ||||
\(179\) | −5.29703 | −0.395919 | −0.197959 | − | 0.980210i | \(-0.563431\pi\) | ||||
−0.197959 | + | 0.980210i | \(0.563431\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −12.7806 | −0.949972 | −0.474986 | − | 0.879993i | \(-0.657547\pi\) | ||||
−0.474986 | + | 0.879993i | \(0.657547\pi\) | |||||||
\(182\) | −7.04550 | + | 0.648960i | −0.522247 | + | 0.0481041i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −2.45336 | + | 4.24935i | −0.180864 | + | 0.313266i | ||||
\(185\) | −8.70510 | −0.640012 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −28.4583 | −2.08107 | ||||||||
\(188\) | 3.43791 | + | 19.4974i | 0.250736 | + | 1.42199i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 12.0838 | + | 10.1395i | 0.876649 | + | 0.735596i | ||||
\(191\) | 8.03280i | 0.581233i | 0.956840 | + | 0.290616i | \(0.0938603\pi\) | ||||
−0.956840 | + | 0.290616i | \(0.906140\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −15.5621 | −1.12019 | −0.560093 | − | 0.828430i | \(-0.689235\pi\) | ||||
−0.560093 | + | 0.828430i | \(0.689235\pi\) | |||||||
\(194\) | −2.14693 | − | 1.80149i | −0.154140 | − | 0.129339i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 13.7644 | − | 2.55738i | 0.983174 | − | 0.182670i | ||||
\(197\) | 17.1464 | 1.22163 | 0.610816 | − | 0.791772i | \(-0.290841\pi\) | ||||
0.610816 | + | 0.791772i | \(0.290841\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 1.13748i | 0.0806337i | 0.999187 | + | 0.0403169i | \(0.0128367\pi\) | ||||
−0.999187 | + | 0.0403169i | \(0.987163\pi\) | |||||||
\(200\) | −24.0612 | − | 13.8917i | −1.70138 | − | 0.982295i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −4.17096 | − | 3.49985i | −0.293468 | − | 0.246249i | ||||
\(203\) | −5.86636 | − | 5.81282i | −0.411738 | − | 0.407980i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | − | 32.7169i | − | 2.28505i | ||||||
\(206\) | −1.40131 | − | 1.17584i | −0.0976337 | − | 0.0819244i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −7.10769 | + | 2.58699i | −0.492829 | + | 0.179375i | ||||
\(209\) | 12.3637 | 0.855212 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 22.3750i | 1.54036i | 0.637827 | + | 0.770180i | \(0.279833\pi\) | ||||
−0.637827 | + | 0.770180i | \(0.720167\pi\) | |||||||
\(212\) | −1.75599 | − | 9.95874i | −0.120602 | − | 0.683969i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −11.1010 | + | 13.2297i | −0.758850 | + | 0.904362i | ||||
\(215\) | −8.06980 | −0.550356 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −2.40879 | + | 2.43097i | −0.163519 | + | 0.165025i | ||||
\(218\) | 1.14614 | + | 0.961729i | 0.0776266 | + | 0.0651365i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −32.3615 | + | 5.70621i | −2.18181 | + | 0.384713i | ||||
\(221\) | 12.6099 | 0.848231 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 22.5858i | 1.51246i | 0.654307 | + | 0.756229i | \(0.272961\pi\) | ||||
−0.654307 | + | 0.756229i | \(0.727039\pi\) | |||||||
\(224\) | 13.5352 | − | 6.38729i | 0.904361 | − | 0.426768i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −2.09833 | − | 1.76070i | −0.139579 | − | 0.117120i | ||||
\(227\) | − | 15.7228i | − | 1.04356i | −0.853081 | − | 0.521779i | \(-0.825269\pi\) | ||
0.853081 | − | 0.521779i | \(-0.174731\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −7.68520 | −0.507852 | −0.253926 | − | 0.967224i | \(-0.581722\pi\) | ||||
−0.253926 | + | 0.967224i | \(0.581722\pi\) | |||||||
\(230\) | 6.07151 | − | 7.23574i | 0.400343 | − | 0.477111i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −7.64590 | − | 4.41436i | −0.501978 | − | 0.289817i | ||||
\(233\) | − | 20.2528i | − | 1.32680i | −0.748263 | − | 0.663402i | \(-0.769112\pi\) | ||
0.748263 | − | 0.663402i | \(-0.230888\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | − | 38.1120i | − | 2.48615i | ||||||
\(236\) | 5.26719 | − | 0.928748i | 0.342865 | − | 0.0604563i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −24.8461 | + | 2.28857i | −1.61053 | + | 0.148346i | ||||
\(239\) | 16.9223i | 1.09461i | 0.836933 | + | 0.547305i | \(0.184346\pi\) | ||||
−0.836933 | + | 0.547305i | \(0.815654\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | − | 16.8796i | − | 1.08731i | −0.839308 | − | 0.543656i | \(-0.817040\pi\) | ||
0.839308 | − | 0.543656i | \(-0.182960\pi\) | |||||||
\(242\) | −6.55611 | + | 7.81327i | −0.421443 | + | 0.502256i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −4.56000 | − | 25.8611i | −0.291924 | − | 1.65558i | ||||
\(245\) | −26.9493 | + | 0.247088i | −1.72173 | + | 0.0157859i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −5.47834 | −0.348578 | ||||||||
\(248\) | −1.82928 | + | 3.16840i | −0.116159 | + | 0.201194i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 20.1163 | + | 16.8796i | 1.27227 | + | 1.06756i | ||||
\(251\) | − | 0.928748i | − | 0.0586220i | −0.999570 | − | 0.0293110i | \(-0.990669\pi\) | ||
0.999570 | − | 0.0293110i | \(-0.00933132\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | − | 7.40333i | − | 0.465444i | ||||||
\(254\) | −14.0299 | + | 16.7202i | −0.880314 | + | 1.04912i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 12.2567 | − | 10.2846i | 0.766044 | − | 0.642788i | ||||
\(257\) | 19.0322 | 1.18719 | 0.593597 | − | 0.804763i | \(-0.297708\pi\) | ||||
0.593597 | + | 0.804763i | \(0.297708\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −4.21057 | + | 4.24935i | −0.261632 | + | 0.264042i | ||||
\(260\) | 14.3394 | − | 2.52842i | 0.889292 | − | 0.156806i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 18.2254 | + | 15.2929i | 1.12597 | + | 0.944799i | ||||
\(263\) | − | 1.61631i | − | 0.0996659i | −0.998758 | − | 0.0498330i | \(-0.984131\pi\) | ||
0.998758 | − | 0.0498330i | \(-0.0158689\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 19.4666i | 1.19582i | ||||||||
\(266\) | 10.7943 | − | 0.994264i | 0.661843 | − | 0.0609623i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −21.4047 | + | 3.77422i | −1.30750 | + | 0.230547i | ||||
\(269\) | − | 6.52428i | − | 0.397792i | −0.980021 | − | 0.198896i | \(-0.936264\pi\) | ||
0.980021 | − | 0.198896i | \(-0.0637357\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 12.7059i | 0.771830i | 0.922534 | + | 0.385915i | \(0.126114\pi\) | ||||
−0.922534 | + | 0.385915i | \(0.873886\pi\) | |||||||
\(272\) | −25.0653 | + | 9.12304i | −1.51981 | + | 0.553166i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −3.53209 | − | 2.96377i | −0.213381 | − | 0.179048i | ||||
\(275\) | 41.9201 | 2.52788 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 3.10359i | 0.186476i | 0.995644 | + | 0.0932382i | \(0.0297218\pi\) | ||||
−0.995644 | + | 0.0932382i | \(0.970278\pi\) | |||||||
\(278\) | −9.89908 | + | 11.7973i | −0.593707 | + | 0.707553i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −27.7950 | + | 7.58438i | −1.66107 | + | 0.453254i | ||||
\(281\) | − | 19.1444i | − | 1.14206i | −0.820929 | − | 0.571030i | \(-0.806544\pi\) | ||
0.820929 | − | 0.571030i | \(-0.193456\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −6.22289 | −0.369912 | −0.184956 | − | 0.982747i | \(-0.559214\pi\) | ||||
−0.184956 | + | 0.982747i | \(0.559214\pi\) | |||||||
\(284\) | −30.5995 | + | 5.39552i | −1.81575 | + | 0.320165i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 7.33577 | − | 8.74242i | 0.433773 | − | 0.516950i | ||||
\(287\) | −15.9706 | − | 15.8248i | −0.942714 | − | 0.934110i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 27.4688 | 1.61581 | ||||||||
\(290\) | 13.0193 | + | 10.9245i | 0.764522 | + | 0.641510i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 18.5748 | − | 3.27524i | 1.08701 | − | 0.191669i | ||||
\(293\) | 7.01846i | 0.410023i | 0.978760 | + | 0.205011i | \(0.0657231\pi\) | ||||
−0.978760 | + | 0.205011i | \(0.934277\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −10.2959 | −0.599451 | ||||||||
\(296\) | −3.19758 | + | 5.53837i | −0.185856 | + | 0.321911i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −18.5672 | + | 22.1275i | −1.07557 | + | 1.28181i | ||||
\(299\) | 3.28042i | 0.189712i | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −3.90328 | + | 3.93923i | −0.224981 | + | 0.227054i | ||||
\(302\) | −10.9225 | + | 13.0170i | −0.628522 | + | 0.749043i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 10.8896 | − | 3.96349i | 0.624562 | − | 0.227322i | ||||
\(305\) | 50.5513i | 2.89456i | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −22.6640 | −1.29350 | −0.646752 | − | 0.762700i | \(-0.723873\pi\) | ||||
−0.646752 | + | 0.762700i | \(0.723873\pi\) | |||||||
\(308\) | −12.8675 | + | 18.5571i | −0.733193 | + | 1.05739i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 4.52704 | − | 5.39511i | 0.257118 | − | 0.306422i | ||||
\(311\) | 11.5077 | 0.652543 | 0.326271 | − | 0.945276i | \(-0.394208\pi\) | ||||
0.326271 | + | 0.945276i | \(0.394208\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 14.8979i | 0.842077i | 0.907043 | + | 0.421038i | \(0.138334\pi\) | ||||
−0.907043 | + | 0.421038i | \(0.861666\pi\) | |||||||
\(314\) | −11.9357 | + | 14.2244i | −0.673570 | + | 0.802729i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −1.41828 | − | 8.04347i | −0.0797846 | − | 0.452481i | ||||
\(317\) | 9.59763 | 0.539057 | 0.269528 | − | 0.962992i | \(-0.413132\pi\) | ||||
0.269528 | + | 0.962992i | \(0.413132\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 13.3209 | 0.745827 | ||||||||
\(320\) | −26.6740 | + | 15.4002i | −1.49112 | + | 0.860899i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −0.595364 | − | 6.46363i | −0.0331783 | − | 0.360204i | ||||
\(323\) | −19.3194 | −1.07496 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −18.5748 | −1.03035 | ||||||||
\(326\) | 10.1960 | + | 8.55547i | 0.564705 | + | 0.473844i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −20.8152 | − | 12.0177i | −1.14933 | − | 0.663565i | ||||
\(329\) | −18.6042 | − | 18.4344i | −1.02568 | − | 1.01632i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 4.50216i | 0.247461i | 0.992316 | + | 0.123731i | \(0.0394859\pi\) | ||||
−0.992316 | + | 0.123731i | \(0.960514\pi\) | |||||||
\(332\) | 23.2361 | − | 4.09715i | 1.27525 | − | 0.224860i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 3.12520 | − | 3.72447i | 0.171003 | − | 0.203794i | ||||
\(335\) | 41.8403 | 2.28598 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 15.0351 | 0.819013 | 0.409507 | − | 0.912307i | \(-0.365701\pi\) | ||||
0.409507 | + | 0.912307i | \(0.365701\pi\) | |||||||
\(338\) | 8.56703 | − | 10.2098i | 0.465985 | − | 0.555339i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 50.5681 | − | 8.91652i | 2.74244 | − | 0.483566i | ||||
\(341\) | − | 5.52007i | − | 0.298929i | ||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −12.9145 | + | 13.2747i | −0.697316 | + | 0.716764i | ||||
\(344\) | −2.96422 | + | 5.13418i | −0.159820 | + | 0.276817i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −10.1511 | − | 8.51781i | −0.545728 | − | 0.457920i | ||||
\(347\) | −1.74192 | −0.0935112 | −0.0467556 | − | 0.998906i | \(-0.514888\pi\) | ||||
−0.0467556 | + | 0.998906i | \(0.514888\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −6.02232 | −0.322367 | −0.161184 | − | 0.986924i | \(-0.551531\pi\) | ||||
−0.161184 | + | 0.986924i | \(0.551531\pi\) | |||||||
\(350\) | 36.5992 | − | 3.37114i | 1.95631 | − | 0.180195i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −8.25671 | + | 22.6851i | −0.440084 | + | 1.20912i | ||||
\(353\) | −0.766006 | −0.0407704 | −0.0203852 | − | 0.999792i | \(-0.506489\pi\) | ||||
−0.0203852 | + | 0.999792i | \(0.506489\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 59.8136 | 3.17458 | ||||||||
\(356\) | −3.92458 | − | 22.2574i | −0.208002 | − | 1.17964i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 4.81521 | − | 5.73854i | 0.254492 | − | 0.303291i | ||||
\(359\) | 14.0308i | 0.740517i | 0.928929 | + | 0.370259i | \(0.120731\pi\) | ||||
−0.928929 | + | 0.370259i | \(0.879269\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −10.6067 | −0.558247 | ||||||||
\(362\) | 11.6180 | − | 13.8458i | 0.610630 | − | 0.727721i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 5.70159 | − | 8.22268i | 0.298844 | − | 0.430985i | ||||
\(365\) | −36.3087 | −1.90048 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | − | 25.1728i | − | 1.31401i | −0.753886 | − | 0.657005i | \(-0.771823\pi\) | ||
0.753886 | − | 0.657005i | \(-0.228177\pi\) | |||||||
\(368\) | −2.37333 | − | 6.52068i | −0.123718 | − | 0.339914i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 7.91328 | − | 9.43068i | 0.411392 | − | 0.490278i | ||||
\(371\) | 9.50251 | + | 9.41579i | 0.493346 | + | 0.488843i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | − | 28.7777i | − | 1.49005i | −0.667035 | − | 0.745026i | \(-0.732437\pi\) | ||
0.667035 | − | 0.745026i | \(-0.267563\pi\) | |||||||
\(374\) | 25.8697 | − | 30.8303i | 1.33769 | − | 1.59420i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −24.2477 | − | 13.9994i | −1.25048 | − | 0.721965i | ||||
\(377\) | −5.90249 | −0.303994 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 18.1830i | 0.933996i | 0.884258 | + | 0.466998i | \(0.154665\pi\) | ||||
−0.884258 | + | 0.466998i | \(0.845335\pi\) | |||||||
\(380\) | −21.9693 | + | 3.87377i | −1.12700 | + | 0.198720i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −8.70233 | − | 7.30212i | −0.445250 | − | 0.373609i | ||||
\(383\) | 27.8680 | 1.42399 | 0.711993 | − | 0.702186i | \(-0.247793\pi\) | ||||
0.711993 | + | 0.702186i | \(0.247793\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 30.5972 | − | 30.8790i | 1.55938 | − | 1.57374i | ||||
\(386\) | 14.1466 | − | 16.8592i | 0.720042 | − | 0.858112i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 3.90328 | − | 0.688253i | 0.198159 | − | 0.0349408i | ||||
\(389\) | −12.7142 | −0.644634 | −0.322317 | − | 0.946632i | \(-0.604462\pi\) | ||||
−0.322317 | + | 0.946632i | \(0.604462\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 11.5684i | 0.585041i | ||||||||
\(392\) | −9.74188 | + | 17.2365i | −0.492039 | + | 0.870573i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −15.5868 | + | 18.5756i | −0.785250 | + | 0.935825i | ||||
\(395\) | 15.7228i | 0.791099i | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −11.1177 | −0.557981 | −0.278990 | − | 0.960294i | \(-0.590000\pi\) | ||||
−0.278990 | + | 0.960294i | \(0.590000\pi\) | |||||||
\(398\) | −1.23229 | − | 1.03401i | −0.0617690 | − | 0.0518304i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 36.9222 | − | 13.4386i | 1.84611 | − | 0.671929i | ||||
\(401\) | − | 13.6548i | − | 0.681887i | −0.940084 | − | 0.340944i | \(-0.889253\pi\) | ||
0.940084 | − | 0.340944i | \(-0.110747\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 2.44595i | 0.121841i | ||||||||
\(404\) | 7.58313 | − | 1.33711i | 0.377275 | − | 0.0665238i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 11.6301 | − | 1.07124i | 0.577191 | − | 0.0531649i | ||||
\(407\) | − | 9.64911i | − | 0.478288i | ||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | − | 27.3936i | − | 1.35453i | −0.735741 | − | 0.677263i | \(-0.763166\pi\) | ||
0.735741 | − | 0.677263i | \(-0.236834\pi\) | |||||||
\(410\) | 35.4439 | + | 29.7410i | 1.75045 | + | 1.46880i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 2.54768 | − | 0.449226i | 0.125515 | − | 0.0221318i | ||||
\(413\) | −4.98002 | + | 5.02589i | −0.245051 | + | 0.247308i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −45.4201 | −2.22959 | ||||||||
\(416\) | 3.65855 | − | 10.0518i | 0.179375 | − | 0.492829i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −11.2390 | + | 13.3942i | −0.549720 | + | 0.655130i | ||||
\(419\) | − | 14.0369i | − | 0.685748i | −0.939381 | − | 0.342874i | \(-0.888600\pi\) | ||
0.939381 | − | 0.342874i | \(-0.111400\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 21.7723i | 1.06112i | 0.847649 | + | 0.530558i | \(0.178018\pi\) | ||||
−0.847649 | + | 0.530558i | \(0.821982\pi\) | |||||||
\(422\) | −24.2400 | − | 20.3398i | −1.17998 | − | 0.990124i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 12.3851 | + | 7.15052i | 0.601472 | + | 0.347260i | ||||
\(425\) | −65.5043 | −3.17743 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 24.6763 | + | 24.4511i | 1.19417 | + | 1.18327i | ||||
\(428\) | −4.24112 | − | 24.0526i | −0.205002 | − | 1.16263i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 7.33577 | − | 8.74242i | 0.353762 | − | 0.421597i | ||||
\(431\) | 9.81588i | 0.472814i | 0.971654 | + | 0.236407i | \(0.0759699\pi\) | ||||
−0.971654 | + | 0.236407i | \(0.924030\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | − | 18.8614i | − | 0.906419i | −0.891404 | − | 0.453209i | \(-0.850279\pi\) | ||
0.891404 | − | 0.453209i | \(-0.149721\pi\) | |||||||
\(434\) | −0.443915 | − | 4.81941i | −0.0213086 | − | 0.231339i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −2.08378 | + | 0.367426i | −0.0997949 | + | 0.0175965i | ||||
\(437\) | − | 5.02589i | − | 0.240421i | ||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | − | 6.31145i | − | 0.301229i | −0.988593 | − | 0.150615i | \(-0.951875\pi\) | ||
0.988593 | − | 0.150615i | \(-0.0481252\pi\) | |||||||
\(440\) | 23.2361 | − | 40.2461i | 1.10774 | − | 1.91866i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −11.4629 | + | 13.6609i | −0.545233 | + | 0.649783i | ||||
\(443\) | 27.4565 | 1.30450 | 0.652249 | − | 0.758005i | \(-0.273826\pi\) | ||||
0.652249 | + | 0.758005i | \(0.273826\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 43.5071i | 2.06244i | ||||||||
\(446\) | −24.4684 | − | 20.5314i | −1.15861 | − | 0.972190i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −5.38439 | + | 20.4697i | −0.254388 | + | 0.967102i | ||||
\(449\) | 15.3967i | 0.726616i | 0.931669 | + | 0.363308i | \(0.118353\pi\) | ||||
−0.931669 | + | 0.363308i | \(0.881647\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 36.2648 | 1.70764 | ||||||||
\(452\) | 3.81492 | − | 0.672673i | 0.179439 | − | 0.0316399i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 17.0333 | + | 14.2926i | 0.799412 | + | 0.670786i | ||||
\(455\) | −13.5576 | + | 13.6825i | −0.635592 | + | 0.641446i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −4.00000 | −0.187112 | −0.0935561 | − | 0.995614i | \(-0.529823\pi\) | ||||
−0.0935561 | + | 0.995614i | \(0.529823\pi\) | |||||||
\(458\) | 6.98615 | − | 8.32577i | 0.326441 | − | 0.389037i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 2.31961 | + | 13.1551i | 0.108152 | + | 0.613362i | ||||
\(461\) | 38.1415i | 1.77643i | 0.459432 | + | 0.888213i | \(0.348053\pi\) | ||||
−0.459432 | + | 0.888213i | \(0.651947\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 10.4688 | 0.486528 | 0.243264 | − | 0.969960i | \(-0.421782\pi\) | ||||
0.243264 | + | 0.969960i | \(0.421782\pi\) | |||||||
\(464\) | 11.7327 | − | 4.27036i | 0.544678 | − | 0.198246i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 21.9409 | + | 18.4106i | 1.01639 | + | 0.852854i | ||||
\(467\) | 12.6140i | 0.583706i | 0.956463 | + | 0.291853i | \(0.0942718\pi\) | ||||
−0.956463 | + | 0.291853i | \(0.905728\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 20.2377 | − | 20.4241i | 0.934490 | − | 0.943097i | ||||
\(470\) | 41.2887 | + | 34.6453i | 1.90450 | + | 1.59807i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −3.78192 | + | 6.55048i | −0.174077 | + | 0.301510i | ||||
\(473\) | − | 8.94491i | − | 0.411287i | ||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 28.4583 | 1.30575 | ||||||||
\(476\) | 20.1067 | − | 28.9974i | 0.921590 | − | 1.32909i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −18.3327 | − | 15.3830i | −0.838520 | − | 0.703602i | ||||
\(479\) | −7.73177 | −0.353273 | −0.176637 | − | 0.984276i | \(-0.556522\pi\) | ||||
−0.176637 | + | 0.984276i | \(0.556522\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 4.27552i | 0.194947i | ||||||||
\(482\) | 18.2865 | + | 15.3442i | 0.832929 | + | 0.698910i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −2.50475 | − | 14.2051i | −0.113852 | − | 0.645688i | ||||
\(485\) | −7.62984 | −0.346453 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 15.5330 | 0.703868 | 0.351934 | − | 0.936025i | \(-0.385524\pi\) | ||||
0.351934 | + | 0.936025i | \(0.385524\pi\) | |||||||
\(488\) | 32.1618 | + | 18.5686i | 1.45590 | + | 0.840562i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 24.2303 | − | 29.4201i | 1.09461 | − | 1.32907i | ||||
\(491\) | −24.5354 | −1.10727 | −0.553634 | − | 0.832760i | \(-0.686759\pi\) | ||||
−0.553634 | + | 0.832760i | \(0.686759\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −20.8152 | −0.937470 | ||||||||
\(494\) | 4.98002 | − | 5.93496i | 0.224062 | − | 0.267027i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −1.76960 | − | 4.86194i | −0.0794575 | − | 0.218308i | ||||
\(497\) | 28.9312 | − | 29.1977i | 1.29774 | − | 1.30970i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 24.7811i | 1.10936i | 0.832065 | + | 0.554678i | \(0.187159\pi\) | ||||
−0.832065 | + | 0.554678i | \(0.812841\pi\) | |||||||
\(500\) | −36.5731 | + | 6.44882i | −1.63560 | + | 0.288400i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 1.00616 | + | 0.844268i | 0.0449071 | + | 0.0376815i | ||||
\(503\) | −29.6972 | −1.32413 | −0.662067 | − | 0.749445i | \(-0.730321\pi\) | ||||
−0.662067 | + | 0.749445i | \(0.730321\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −14.8229 | −0.659613 | ||||||||
\(506\) | 8.02040 | + | 6.72992i | 0.356550 | + | 0.299181i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −5.36009 | − | 30.3986i | −0.237816 | − | 1.34872i | ||||
\(509\) | − | 0.853285i | − | 0.0378212i | −0.999821 | − | 0.0189106i | \(-0.993980\pi\) | ||
0.999821 | − | 0.0189106i | \(-0.00601979\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −17.5621 | + | 17.7239i | −0.776902 | + | 0.784058i | ||||
\(512\) | 22.6274i | 1.00000i | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −17.3010 | + | 20.6185i | −0.763113 | + | 0.909443i | ||||
\(515\) | −4.98002 | −0.219446 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 42.2450 | 1.85793 | ||||||||
\(518\) | −0.775965 | − | 8.42434i | −0.0340939 | − | 0.370144i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −10.2959 | + | 17.8330i | −0.451506 | + | 0.782031i | ||||
\(521\) | −7.52443 | −0.329651 | −0.164826 | − | 0.986323i | \(-0.552706\pi\) | ||||
−0.164826 | + | 0.986323i | \(0.552706\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −26.8746 | −1.17514 | −0.587572 | − | 0.809172i | \(-0.699916\pi\) | ||||
−0.587572 | + | 0.809172i | \(0.699916\pi\) | |||||||
\(524\) | −33.1352 | + | 5.84262i | −1.44752 | + | 0.255236i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 1.75103 | + | 1.46929i | 0.0763485 | + | 0.0640640i | ||||
\(527\) | 8.62566i | 0.375739i | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 19.9905 | 0.869152 | ||||||||
\(530\) | −21.0891 | − | 17.6959i | −0.916054 | − | 0.768661i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −8.73534 | + | 12.5979i | −0.378725 | + | 0.546187i | ||||
\(533\) | −16.0690 | −0.696024 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 47.0162i | 2.03269i | ||||||||
\(536\) | 15.3689 | − | 26.6197i | 0.663834 | − | 1.14979i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 7.06808 | + | 5.93083i | 0.304727 | + | 0.255696i | ||||
\(539\) | −0.273883 | − | 29.8717i | −0.0117970 | − | 1.28667i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | − | 6.85099i | − | 0.294547i | −0.989096 | − | 0.147274i | \(-0.952950\pi\) | ||
0.989096 | − | 0.147274i | \(-0.0470498\pi\) | |||||||
\(542\) | −13.7650 | − | 11.5502i | −0.591256 | − | 0.496122i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 12.9019 | − | 35.4478i | 0.553166 | − | 1.51981i | ||||
\(545\) | 4.07321 | 0.174477 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | − | 31.1464i | − | 1.33172i | −0.746075 | − | 0.665862i | \(-0.768064\pi\) | ||
0.746075 | − | 0.665862i | \(-0.231936\pi\) | |||||||
\(548\) | 6.42161 | − | 1.13230i | 0.274318 | − | 0.0483696i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −38.1070 | + | 45.4142i | −1.62489 | + | 1.93647i | ||||
\(551\) | 9.04314 | 0.385251 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 7.67499 | + | 7.60495i | 0.326374 | + | 0.323395i | ||||
\(554\) | −3.36227 | − | 2.82128i | −0.142849 | − | 0.119865i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −3.78192 | − | 21.4483i | −0.160389 | − | 0.909612i | ||||
\(557\) | 39.8687 | 1.68929 | 0.844645 | − | 0.535327i | \(-0.179812\pi\) | ||||
0.844645 | + | 0.535327i | \(0.179812\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 3.96349i | 0.167638i | ||||||||
\(560\) | 17.0502 | − | 37.0062i | 0.720502 | − | 1.56380i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 20.7401 | + | 17.4030i | 0.874868 | + | 0.734102i | ||||
\(563\) | − | 1.74547i | − | 0.0735630i | −0.999323 | − | 0.0367815i | \(-0.988289\pi\) | ||
0.999323 | − | 0.0367815i | \(-0.0117106\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −7.45712 | −0.313724 | ||||||||
\(566\) | 5.65685 | − | 6.74157i | 0.237775 | − | 0.283369i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 21.9709 | − | 38.0547i | 0.921879 | − | 1.59674i | ||||
\(569\) | − | 19.3890i | − | 0.812828i | −0.913689 | − | 0.406414i | \(-0.866779\pi\) | ||
0.913689 | − | 0.406414i | \(-0.133221\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 31.9821i | 1.33841i | 0.743079 | + | 0.669204i | \(0.233365\pi\) | ||||
−0.743079 | + | 0.669204i | \(0.766635\pi\) | |||||||
\(572\) | 2.80261 | + | 15.8944i | 0.117183 | + | 0.664579i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 31.6617 | − | 2.91636i | 1.32153 | − | 0.121726i | ||||
\(575\) | − | 17.0407i | − | 0.710648i | ||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 25.4118i | 1.05791i | 0.848650 | + | 0.528954i | \(0.177416\pi\) | ||||
−0.848650 | + | 0.528954i | \(0.822584\pi\) | |||||||
\(578\) | −24.9702 | + | 29.7584i | −1.03863 | + | 1.23779i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −23.6702 | + | 4.17369i | −0.982851 | + | 0.173303i | ||||
\(581\) | −21.9693 | + | 22.1716i | −0.911438 | + | 0.919833i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −21.5776 | −0.893653 | ||||||||
\(584\) | −13.3370 | + | 23.1003i | −0.551889 | + | 0.955899i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −7.60345 | − | 6.38005i | −0.314096 | − | 0.263557i | ||||
\(587\) | − | 43.0919i | − | 1.77859i | −0.457331 | − | 0.889297i | \(-0.651194\pi\) | ||
0.457331 | − | 0.889297i | \(-0.348806\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | − | 3.74741i | − | 0.154409i | ||||||
\(590\) | 9.35938 | − | 11.1541i | 0.385320 | − | 0.459206i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −3.09327 | − | 8.49870i | −0.127133 | − | 0.349294i | ||||
\(593\) | 10.7417 | 0.441109 | 0.220555 | − | 0.975375i | \(-0.429213\pi\) | ||||
0.220555 | + | 0.975375i | \(0.429213\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −47.8112 | + | 48.2515i | −1.96007 | + | 1.97812i | ||||
\(596\) | −7.09355 | − | 40.2295i | −0.290563 | − | 1.64786i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −3.55384 | − | 2.98203i | −0.145327 | − | 0.121944i | ||||
\(599\) | − | 38.7489i | − | 1.58324i | −0.611015 | − | 0.791619i | \(-0.709239\pi\) | ||
0.611015 | − | 0.791619i | \(-0.290761\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | − | 20.5499i | − | 0.838248i | −0.907929 | − | 0.419124i | \(-0.862337\pi\) | ||
0.907929 | − | 0.419124i | \(-0.137663\pi\) | |||||||
\(602\) | −0.719335 | − | 7.80953i | −0.0293179 | − | 0.318293i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −4.17293 | − | 23.6659i | −0.169794 | − | 0.962951i | ||||
\(605\) | 27.7671i | 1.12889i | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | − | 16.8254i | − | 0.682923i | −0.939896 | − | 0.341461i | \(-0.889078\pi\) | ||
0.939896 | − | 0.341461i | \(-0.110922\pi\) | |||||||
\(608\) | −5.60523 | + | 15.4002i | −0.227322 | + | 0.624562i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −54.7648 | − | 45.9531i | −2.21736 | − | 1.86059i | ||||
\(611\) | −18.7188 | −0.757280 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | − | 18.8231i | − | 0.760258i | −0.924933 | − | 0.380129i | \(-0.875880\pi\) | ||
0.924933 | − | 0.380129i | \(-0.124120\pi\) | |||||||
\(614\) | 20.6025 | − | 24.5531i | 0.831448 | − | 0.990881i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −8.40685 | − | 30.8092i | −0.338722 | − | 1.24134i | ||||
\(617\) | 0.932689i | 0.0375486i | 0.999824 | + | 0.0187743i | \(0.00597640\pi\) | ||||
−0.999824 | + | 0.0187743i | \(0.994024\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 15.3704 | 0.617789 | 0.308894 | − | 0.951096i | \(-0.400041\pi\) | ||||
0.308894 | + | 0.951096i | \(0.400041\pi\) | |||||||
\(620\) | 1.72954 | + | 9.80873i | 0.0694602 | + | 0.393928i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −10.4610 | + | 12.4669i | −0.419446 | + | 0.499877i | ||||
\(623\) | 21.2378 | + | 21.0439i | 0.850874 | + | 0.843108i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 22.3756 | 0.895023 | ||||||||
\(626\) | −16.1396 | − | 13.5427i | −0.645068 | − | 0.541277i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −4.56000 | − | 25.8611i | −0.181964 | − | 1.03197i | ||||
\(629\) | 15.0777i | 0.601187i | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 0.340489 | 0.0135547 | 0.00677733 | − | 0.999977i | \(-0.497843\pi\) | ||||
0.00677733 | + | 0.999977i | \(0.497843\pi\) | |||||||
\(632\) | 10.0032 | + | 5.77533i | 0.397905 | + | 0.229730i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −8.72462 | + | 10.3976i | −0.346499 | + | 0.412941i | ||||
\(635\) | 59.4209i | 2.35805i | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 0.121358 | + | 13.2362i | 0.00480837 | + | 0.524436i | ||||
\(638\) | −12.1092 | + | 14.4312i | −0.479408 | + | 0.571336i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 7.56384 | − | 42.8967i | 0.298987 | − | 1.69564i | ||||
\(641\) | − | 18.3848i | − | 0.726155i | −0.931759 | − | 0.363078i | \(-0.881726\pi\) | ||
0.931759 | − | 0.363078i | \(-0.118274\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −33.7963 | −1.33280 | −0.666399 | − | 0.745595i | \(-0.732165\pi\) | ||||
−0.666399 | + | 0.745595i | \(0.732165\pi\) | |||||||
\(644\) | 7.54358 | + | 5.23070i | 0.297259 | + | 0.206119i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 17.5621 | − | 20.9297i | 0.690972 | − | 0.823469i | ||||
\(647\) | 5.48783 | 0.215749 | 0.107874 | − | 0.994165i | \(-0.465596\pi\) | ||||
0.107874 | + | 0.994165i | \(0.465596\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | − | 11.4124i | − | 0.447977i | ||||||
\(650\) | 16.8852 | − | 20.1230i | 0.662293 | − | 0.789290i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −18.5371 | + | 3.26860i | −0.725970 | + | 0.128008i | ||||
\(653\) | −9.80285 | −0.383615 | −0.191808 | − | 0.981433i | \(-0.561435\pi\) | ||||
−0.191808 | + | 0.981433i | \(0.561435\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 64.7701 | 2.53078 | ||||||||
\(656\) | 31.9412 | − | 11.6256i | 1.24709 | − | 0.453905i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 36.8828 | − | 3.39727i | 1.43784 | − | 0.132439i | ||||
\(659\) | −1.86609 | −0.0726925 | −0.0363462 | − | 0.999339i | \(-0.511572\pi\) | ||||
−0.0363462 | + | 0.999339i | \(0.511572\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 45.7988 | 1.78137 | 0.890684 | − | 0.454623i | \(-0.150226\pi\) | ||||
0.890684 | + | 0.454623i | \(0.150226\pi\) | |||||||
\(662\) | −4.87742 | − | 4.09264i | −0.189566 | − | 0.159065i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −16.6838 | + | 28.8973i | −0.647459 | + | 1.12143i | ||||
\(665\) | 20.7715 | − | 20.9628i | 0.805484 | − | 0.812903i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | − | 5.41501i | − | 0.209670i | ||||||
\(668\) | 1.19398 | + | 6.77137i | 0.0461963 | + | 0.261992i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −38.0344 | + | 45.3277i | −1.46940 | + | 1.75116i | ||||
\(671\) | −56.0332 | −2.16314 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −10.8229 | −0.417194 | −0.208597 | − | 0.978002i | \(-0.566890\pi\) | ||||
−0.208597 | + | 0.978002i | \(0.566890\pi\) | |||||||
\(674\) | −13.6675 | + | 16.2883i | −0.526451 | + | 0.627400i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 3.27301 | + | 18.5622i | 0.125885 | + | 0.713930i | ||||
\(677\) | − | 43.1674i | − | 1.65906i | −0.558465 | − | 0.829528i | \(-0.688609\pi\) | ||
0.558465 | − | 0.829528i | \(-0.311391\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −3.69047 | + | 3.72447i | −0.141627 | + | 0.142932i | ||||
\(680\) | −36.3087 | + | 62.8884i | −1.39237 | + | 2.41166i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 5.98017 | + | 5.01796i | 0.228993 | + | 0.192148i | ||||
\(683\) | −32.9182 | −1.25958 | −0.629791 | − | 0.776765i | \(-0.716859\pi\) | ||||
−0.629791 | + | 0.776765i | \(0.716859\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −12.5525 | −0.479606 | ||||||||
\(686\) | −2.64135 | − | 26.0581i | −0.100847 | − | 0.994902i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −2.86753 | − | 7.87846i | −0.109323 | − | 0.300364i | ||||
\(689\) | 9.56104 | 0.364247 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 43.5584 | 1.65704 | 0.828521 | − | 0.559959i | \(-0.189183\pi\) | ||||
0.828521 | + | 0.559959i | \(0.189183\pi\) | |||||||
\(692\) | 18.4556 | − | 3.25421i | 0.701575 | − | 0.123707i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 1.58347 | − | 1.88711i | 0.0601078 | − | 0.0716337i | ||||
\(695\) | 41.9256i | 1.59033i | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −56.6674 | −2.14643 | ||||||||
\(698\) | 5.47452 | − | 6.52428i | 0.207214 | − | 0.246948i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −29.6179 | + | 42.7142i | −1.11945 | + | 1.61445i | ||||
\(701\) | −15.0594 | −0.568784 | −0.284392 | − | 0.958708i | \(-0.591792\pi\) | ||||
−0.284392 | + | 0.958708i | \(0.591792\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | − | 6.55048i | − | 0.247056i | ||||||
\(704\) | −17.0703 | − | 29.5666i | −0.643360 | − | 1.11433i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 0.696329 | − | 0.829853i | 0.0262067 | − | 0.0312319i | ||||
\(707\) | −7.16970 | + | 7.23574i | −0.269645 | + | 0.272128i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | − | 34.9779i | − | 1.31362i | −0.754054 | − | 0.656812i | \(-0.771904\pi\) | ||
0.754054 | − | 0.656812i | \(-0.228096\pi\) | |||||||
\(710\) | −54.3729 | + | 64.7991i | −2.04058 | + | 2.43187i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 27.6802 | + | 15.9812i | 1.03736 | + | 0.598919i | ||||
\(713\) | −2.24394 | −0.0840362 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | − | 31.0692i | − | 1.16192i | ||||||
\(716\) | 1.83964 | + | 10.4331i | 0.0687506 | + | 0.389904i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −15.2003 | − | 12.7545i | −0.567269 | − | 0.475995i | ||||
\(719\) | 27.5299 | 1.02669 | 0.513346 | − | 0.858181i | \(-0.328406\pi\) | ||||
0.513346 | + | 0.858181i | \(0.328406\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −2.40879 | + | 2.43097i | −0.0897079 | + | 0.0905341i | ||||
\(722\) | 9.64190 | − | 11.4908i | 0.358834 | − | 0.427642i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 4.43865 | + | 25.1728i | 0.164961 | + | 0.935540i | ||||
\(725\) | 30.6616 | 1.13874 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | − | 20.1548i | − | 0.747502i | −0.927529 | − | 0.373751i | \(-0.878071\pi\) | ||
0.927529 | − | 0.373751i | \(-0.121929\pi\) | |||||||
\(728\) | 3.72508 | + | 13.6515i | 0.138061 | + | 0.505960i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 33.0060 | − | 39.3350i | 1.22161 | − | 1.45585i | ||||
\(731\) | 13.9773i | 0.516969i | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −33.4891 | −1.23695 | −0.618473 | − | 0.785806i | \(-0.712248\pi\) | ||||
−0.618473 | + | 0.785806i | \(0.712248\pi\) | |||||||
\(734\) | 27.2710 | + | 22.8831i | 1.00659 | + | 0.844629i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 9.22163 | + | 3.35640i | 0.339914 | + | 0.123718i | ||||
\(737\) | 46.3775i | 1.70834i | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | − | 45.2321i | − | 1.66389i | −0.554859 | − | 0.831944i | \(-0.687228\pi\) | ||
0.554859 | − | 0.831944i | \(-0.312772\pi\) | |||||||
\(740\) | 3.02325 | + | 17.1457i | 0.111137 | + | 0.630289i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −18.8388 | + | 1.73523i | −0.691592 | + | 0.0637025i | ||||
\(743\) | 24.5437i | 0.900422i | 0.892922 | + | 0.450211i | \(0.148651\pi\) | ||||
−0.892922 | + | 0.450211i | \(0.851349\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 78.6377i | 2.88106i | ||||||||
\(746\) | 31.1763 | + | 26.1600i | 1.14145 | + | 0.957787i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 9.88345 | + | 56.0518i | 0.361375 | + | 2.04946i | ||||
\(749\) | 22.9507 | + | 22.7412i | 0.838600 | + | 0.830947i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −0.556132 | −0.0202936 | −0.0101468 | − | 0.999949i | \(-0.503230\pi\) | ||||
−0.0101468 | + | 0.999949i | \(0.503230\pi\) | |||||||
\(752\) | 37.2084 | − | 13.5427i | 1.35685 | − | 0.493853i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 5.36559 | − | 6.39447i | 0.195403 | − | 0.232873i | ||||
\(755\) | 46.2603i | 1.68358i | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | − | 21.0069i | − | 0.763510i | −0.924264 | − | 0.381755i | \(-0.875320\pi\) | ||
0.924264 | − | 0.381755i | \(-0.124680\pi\) | |||||||
\(758\) | −19.6985 | − | 16.5290i | −0.715483 | − | 0.600361i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 15.7743 | − | 27.3218i | 0.572192 | − | 0.991066i | ||||
\(761\) | −3.86588 | −0.140138 | −0.0700691 | − | 0.997542i | \(-0.522322\pi\) | ||||
−0.0700691 | + | 0.997542i | \(0.522322\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 1.97017 | − | 1.98832i | 0.0713250 | − | 0.0719819i | ||||
\(764\) | 15.8215 | − | 2.78976i | 0.572403 | − | 0.100930i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −25.3331 | + | 30.1908i | −0.915321 | + | 1.09084i | ||||
\(767\) | 5.05685i | 0.182592i | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | − | 50.3456i | − | 1.81551i | −0.419501 | − | 0.907755i | \(-0.637795\pi\) | ||
0.419501 | − | 0.907755i | \(-0.362205\pi\) | |||||||
\(770\) | 5.63875 | + | 61.2177i | 0.203207 | + | 2.20613i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 5.40467 | + | 30.6514i | 0.194518 | + | 1.10317i | ||||
\(773\) | − | 9.69268i | − | 0.348621i | −0.984691 | − | 0.174311i | \(-0.944230\pi\) | ||
0.984691 | − | 0.174311i | \(-0.0557697\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | − | 12.7059i | − | 0.456410i | ||||||
\(776\) | −2.80261 | + | 4.85427i | −0.100608 | + | 0.174258i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 11.5577 | − | 13.7739i | 0.414363 | − | 0.493818i | ||||
\(779\) | 24.6191 | 0.882070 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 66.3000i | 2.37240i | ||||||||
\(782\) | −12.5327 | − | 10.5162i | −0.448167 | − | 0.376057i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −9.81739 | − | 26.2225i | −0.350621 | − | 0.936517i | ||||
\(785\) | 50.5513i | 1.80425i | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −45.4123 | −1.61877 | −0.809387 | − | 0.587275i | \(-0.800201\pi\) | ||||
−0.809387 | + | 0.587275i | \(0.800201\pi\) | |||||||
\(788\) | −5.95489 | − | 33.7719i | −0.212134 | − | 1.20307i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −17.0333 | − | 14.2926i | −0.606017 | − | 0.508509i | ||||
\(791\) | −3.60693 | + | 3.64015i | −0.128248 | + | 0.129429i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 24.8283 | 0.881680 | ||||||||
\(794\) | 10.1064 | − | 12.0444i | 0.358663 | − | 0.427438i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 2.24040 | − | 0.395042i | 0.0794087 | − | 0.0140019i | ||||
\(797\) | − | 9.02688i | − | 0.319748i | −0.987137 | − | 0.159874i | \(-0.948891\pi\) | ||
0.987137 | − | 0.159874i | \(-0.0511089\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −66.0120 | −2.33534 | ||||||||
\(800\) | −19.0050 | + | 52.2159i | −0.671929 | + | 1.84611i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 14.7929 | + | 12.4127i | 0.522356 | + | 0.438309i | ||||
\(803\) | − | 40.2461i | − | 1.42025i | ||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −12.5525 | − | 12.4379i | −0.442417 | − | 0.438379i | ||||
\(806\) | −2.64982 | − | 2.22346i | −0.0933358 | − | 0.0783180i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −5.44480 | + | 9.43068i | −0.191548 | + | 0.331770i | ||||
\(809\) | 7.47526i | 0.262816i | 0.991328 | + | 0.131408i | \(0.0419498\pi\) | ||||
−0.991328 | + | 0.131408i | \(0.958050\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 30.6565 | 1.07650 | 0.538248 | − | 0.842787i | \(-0.319086\pi\) | ||||
0.538248 | + | 0.842787i | \(0.319086\pi\) | |||||||
\(812\) | −9.41165 | + | 13.5732i | −0.330284 | + | 0.476327i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 10.4534 | + | 8.77141i | 0.366390 | + | 0.307438i | ||||
\(815\) | 36.2350 | 1.26926 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | − | 6.07242i | − | 0.212447i | ||||||
\(818\) | 29.6769 | + | 24.9018i | 1.03763 | + | 0.870672i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −64.4397 | + | 11.3625i | −2.25033 | + | 0.396795i | ||||
\(821\) | −43.5330 | −1.51931 | −0.759655 | − | 0.650326i | \(-0.774632\pi\) | ||||
−0.759655 | + | 0.650326i | \(0.774632\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −10.8621 | −0.378631 | −0.189315 | − | 0.981916i | \(-0.560627\pi\) | ||||
−0.189315 | + | 0.981916i | \(0.560627\pi\) | |||||||
\(824\) | −1.82928 | + | 3.16840i | −0.0637258 | + | 0.110376i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −0.917768 | − | 9.96385i | −0.0319332 | − | 0.346687i | ||||
\(827\) | 19.1266 | 0.665097 | 0.332548 | − | 0.943086i | \(-0.392091\pi\) | ||||
0.332548 | + | 0.943086i | \(0.392091\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −40.3540 | −1.40155 | −0.700777 | − | 0.713381i | \(-0.747163\pi\) | ||||
−0.700777 | + | 0.713381i | \(0.747163\pi\) | |||||||
\(830\) | 41.2887 | − | 49.2059i | 1.43315 | − | 1.70796i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 7.56384 | + | 13.1010i | 0.262229 | + | 0.454194i | ||||
\(833\) | 0.427969 | + | 46.6775i | 0.0148283 | + | 1.61728i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | − | 13.2362i | − | 0.458057i | ||||||
\(836\) | −4.29385 | − | 24.3516i | −0.148506 | − | 0.842219i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 15.2069 | + | 12.7601i | 0.525314 | + | 0.440790i | ||||
\(839\) | −5.26719 | −0.181844 | −0.0909218 | − | 0.995858i | \(-0.528981\pi\) | ||||
−0.0909218 | + | 0.995858i | \(0.528981\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −19.2567 | −0.664025 | ||||||||
\(842\) | −23.5870 | − | 19.7918i | −0.812862 | − | 0.682072i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 44.0702 | − | 7.77076i | 1.51696 | − | 0.267481i | ||||
\(845\) | − | 36.2840i | − | 1.24821i | ||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 13.5544 | + | 13.4307i | 0.465734 | + | 0.461483i | ||||
\(848\) | −19.0050 | + | 6.91726i | −0.652635 | + | 0.237540i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 59.5460 | − | 70.9641i | 2.04241 | − | 2.43405i | ||||
\(851\) | −3.92241 | −0.134459 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −19.5388 | −0.668997 | −0.334498 | − | 0.942396i | \(-0.608567\pi\) | ||||
−0.334498 | + | 0.942396i | \(0.608567\pi\) | |||||||
\(854\) | −48.9209 | + | 4.50609i | −1.67404 | + | 0.154195i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 29.9127 | + | 17.2701i | 1.02240 | + | 0.590280i | ||||
\(857\) | −41.0742 | −1.40307 | −0.701535 | − | 0.712635i | \(-0.747502\pi\) | ||||
−0.701535 | + | 0.712635i | \(0.747502\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −27.7594 | −0.947138 | −0.473569 | − | 0.880757i | \(-0.657035\pi\) | ||||
−0.473569 | + | 0.880757i | \(0.657035\pi\) | |||||||
\(860\) | 2.80261 | + | 15.8944i | 0.0955683 | + | 0.541995i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −10.6340 | − | 8.92302i | −0.362197 | − | 0.303919i | ||||
\(863\) | − | 39.5640i | − | 1.34677i | −0.739290 | − | 0.673387i | \(-0.764839\pi\) | ||
0.739290 | − | 0.673387i | \(-0.235161\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −36.0755 | −1.22661 | ||||||||
\(866\) | 20.4335 | + | 17.1457i | 0.694357 | + | 0.582635i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 5.62464 | + | 3.90011i | 0.190913 | + | 0.132378i | ||||
\(869\) | −17.4278 | −0.591198 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | − | 20.5499i | − | 0.696307i | ||||||
\(872\) | 1.49618 | − | 2.59147i | 0.0506672 | − | 0.0877581i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 5.44480 | + | 4.56873i | 0.184173 | + | 0.154540i | ||||
\(875\) | 34.5791 | − | 34.8976i | 1.16899 | − | 1.17975i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 3.90183i | 0.131755i | 0.997828 | + | 0.0658777i | \(0.0209847\pi\) | ||||
−0.997828 | + | 0.0658777i | \(0.979015\pi\) | |||||||
\(878\) | 6.83751 | + | 5.73736i | 0.230755 | + | 0.193626i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 22.4781 | + | 61.7580i | 0.757736 | + | 2.08186i | ||||
\(881\) | 33.3425 | 1.12334 | 0.561668 | − | 0.827362i | \(-0.310160\pi\) | ||||
0.561668 | + | 0.827362i | \(0.310160\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | − | 33.1652i | − | 1.11610i | −0.829808 | − | 0.558049i | \(-0.811550\pi\) | ||
0.829808 | − | 0.558049i | \(-0.188450\pi\) | |||||||
\(884\) | −4.37936 | − | 24.8366i | −0.147294 | − | 0.835345i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −24.9590 | + | 29.7450i | −0.838516 | + | 0.999304i | ||||
\(887\) | 10.7550 | 0.361118 | 0.180559 | − | 0.983564i | \(-0.442209\pi\) | ||||
0.180559 | + | 0.983564i | \(0.442209\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 29.0060 | + | 28.7413i | 0.972830 | + | 0.963951i | ||||
\(890\) | −47.1335 | − | 39.5497i | −1.57992 | − | 1.32571i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 44.4854 | − | 7.84397i | 1.48948 | − | 0.262636i | ||||
\(893\) | 28.6788 | 0.959700 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | − | 20.3939i | − | 0.681692i | ||||||
\(896\) | −17.2812 | − | 24.4409i | −0.577326 | − | 0.816514i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −16.6800 | − | 13.9962i | −0.556620 | − | 0.467060i | ||||
\(899\) | − | 4.03754i | − | 0.134660i | ||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 33.7171 | 1.12328 | ||||||||
\(902\) | −32.9661 | + | 39.2875i | −1.09765 | + | 1.30813i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −2.73917 | + | 4.74438i | −0.0911034 | + | 0.157796i | ||||
\(905\) | − | 49.2059i | − | 1.63566i | ||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | − | 24.3365i | − | 0.808081i | −0.914741 | − | 0.404040i | \(-0.867606\pi\) | ||
0.914741 | − | 0.404040i | \(-0.132394\pi\) | |||||||
\(908\) | −30.9678 | + | 5.46047i | −1.02770 | + | 0.181212i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −2.49853 | − | 27.1256i | −0.0828256 | − | 0.899205i | ||||
\(911\) | − | 25.4294i | − | 0.842515i | −0.906941 | − | 0.421258i | \(-0.861589\pi\) | ||
0.906941 | − | 0.421258i | \(-0.138411\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | − | 50.3456i | − | 1.66620i | ||||||
\(914\) | 3.63616 | − | 4.33340i | 0.120273 | − | 0.143336i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 2.66904 | + | 15.1369i | 0.0881876 | + | 0.500137i | ||||
\(917\) | 31.3286 | − | 31.6172i | 1.03456 | − | 1.04409i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 35.3655 | 1.16660 | 0.583300 | − | 0.812257i | \(-0.301761\pi\) | ||||
0.583300 | + | 0.812257i | \(0.301761\pi\) | |||||||
\(920\) | −16.3602 | − | 9.44559i | −0.539381 | − | 0.311412i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −41.3206 | − | 34.6721i | −1.36082 | − | 1.14186i | ||||
\(923\) | − | 29.3775i | − | 0.966974i | ||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | − | 22.2100i | − | 0.730260i | ||||||
\(926\) | −9.51659 | + | 11.3414i | −0.312734 | + | 0.372702i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −6.03920 | + | 16.5926i | −0.198246 | + | 0.544678i | ||||
\(929\) | −14.1030 | −0.462704 | −0.231352 | − | 0.972870i | \(-0.574315\pi\) | ||||
−0.231352 | + | 0.972870i | \(0.574315\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −0.185931 | − | 20.2790i | −0.00609363 | − | 0.664617i | ||||
\(932\) | −39.8902 | + | 7.03372i | −1.30665 | + | 0.230397i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −13.6654 | − | 11.4666i | −0.447145 | − | 0.375199i | ||||
\(935\) | − | 109.566i | − | 3.58319i | ||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 27.6868i | 0.904488i | 0.891894 | + | 0.452244i | \(0.149376\pi\) | ||||
−0.891894 | + | 0.452244i | \(0.850624\pi\) | |||||||
\(938\) | 3.72960 | + | 40.4908i | 0.121776 | + | 1.32207i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −75.0660 | + | 13.2362i | −2.44838 | + | 0.431716i | ||||
\(941\) | − | 22.4187i | − | 0.730828i | −0.930845 | − | 0.365414i | \(-0.880927\pi\) | ||
0.930845 | − | 0.365414i | \(-0.119073\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | − | 14.7418i | − | 0.480061i | ||||||
\(944\) | −3.65855 | − | 10.0518i | −0.119076 | − | 0.327158i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 9.69047 | + | 8.13127i | 0.315064 | + | 0.264370i | ||||
\(947\) | −8.37044 | −0.272003 | −0.136001 | − | 0.990709i | \(-0.543425\pi\) | ||||
−0.136001 | + | 0.990709i | \(0.543425\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 17.8330i | 0.578885i | ||||||||
\(950\) | −25.8697 | + | 30.8303i | −0.839323 | + | 1.00027i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 13.1365 | + | 48.1424i | 0.425758 | + | 1.56030i | ||||
\(953\) | − | 11.0633i | − | 0.358376i | −0.983815 | − | 0.179188i | \(-0.942653\pi\) | ||
0.983815 | − | 0.179188i | \(-0.0573470\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −30.9267 | −1.00077 | ||||||||
\(956\) | 33.3304 | − | 5.87704i | 1.07798 | − | 0.190077i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 7.02848 | − | 8.37621i | 0.227080 | − | 0.270623i | ||||
\(959\) | −6.07151 | + | 6.12743i | −0.196059 | + | 0.197865i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 29.3269 | 0.946028 | ||||||||
\(962\) | −4.63189 | − | 3.88662i | −0.149338 | − | 0.125310i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −33.2463 | + | 5.86223i | −1.07079 | + | 0.188810i | ||||
\(965\) | − | 59.9151i | − | 1.92873i | ||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 31.3756 | 1.00897 | 0.504485 | − | 0.863420i | \(-0.331682\pi\) | ||||
0.504485 | + | 0.863420i | \(0.331682\pi\) | |||||||
\(968\) | 17.6660 | + | 10.1995i | 0.567808 | + | 0.327824i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 6.93582 | − | 8.26579i | 0.222696 | − | 0.265399i | ||||
\(971\) | 39.3173i | 1.26175i | 0.775883 | + | 0.630876i | \(0.217304\pi\) | ||||
−0.775883 | + | 0.630876i | \(0.782696\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 20.4658 | + | 20.2790i | 0.656102 | + | 0.650114i | ||||
\(974\) | −14.1201 | + | 16.8277i | −0.452438 | + | 0.539195i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −49.3527 | + | 17.9629i | −1.57974 | + | 0.574979i | ||||
\(977\) | 50.7462i | 1.62352i | 0.583994 | + | 0.811758i | \(0.301489\pi\) | ||||
−0.583994 | + | 0.811758i | \(0.698511\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −48.2252 | −1.54128 | ||||||||
\(980\) | 9.84605 | + | 52.9939i | 0.314521 | + | 1.69283i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 22.3037 | − | 26.5805i | 0.711738 | − | 0.848217i | ||||
\(983\) | 3.43791 | 0.109652 | 0.0548262 | − | 0.998496i | \(-0.482540\pi\) | ||||
0.0548262 | + | 0.998496i | \(0.482540\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 66.0147i | 2.10340i | ||||||||
\(986\) | 18.9218 | − | 22.5502i | 0.602594 | − | 0.718143i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 1.90261 | + | 10.7902i | 0.0605300 | + | 0.343283i | ||||
\(989\) | −3.63616 | −0.115623 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 38.5371 | 1.22417 | 0.612086 | − | 0.790791i | \(-0.290330\pi\) | ||||
0.612086 | + | 0.790791i | \(0.290330\pi\) | |||||||
\(992\) | 6.87583 | + | 2.50260i | 0.218308 | + | 0.0794575i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 5.33173 | + | 57.8845i | 0.169112 | + | 1.83599i | ||||
\(995\) | −4.37936 | −0.138835 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −15.0580 | −0.476893 | −0.238446 | − | 0.971156i | \(-0.576638\pi\) | ||||
−0.238446 | + | 0.971156i | \(0.576638\pi\) | |||||||
\(998\) | −26.8467 | − | 22.5270i | −0.849816 | − | 0.713081i | ||||
\(999\) | 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 | 504.2.i.b.125.8 | yes | 24 | |
3.2 | odd | 2 | inner | 504.2.i.b.125.17 | yes | 24 | |
4.3 | odd | 2 | 2016.2.i.b.881.16 | 24 | |||
7.6 | odd | 2 | inner | 504.2.i.b.125.7 | yes | 24 | |
8.3 | odd | 2 | 2016.2.i.b.881.9 | 24 | |||
8.5 | even | 2 | inner | 504.2.i.b.125.19 | yes | 24 | |
12.11 | even | 2 | 2016.2.i.b.881.19 | 24 | |||
21.20 | even | 2 | inner | 504.2.i.b.125.18 | yes | 24 | |
24.5 | odd | 2 | inner | 504.2.i.b.125.6 | yes | 24 | |
24.11 | even | 2 | 2016.2.i.b.881.6 | 24 | |||
28.27 | even | 2 | 2016.2.i.b.881.5 | 24 | |||
56.13 | odd | 2 | inner | 504.2.i.b.125.20 | yes | 24 | |
56.27 | even | 2 | 2016.2.i.b.881.20 | 24 | |||
84.83 | odd | 2 | 2016.2.i.b.881.10 | 24 | |||
168.83 | odd | 2 | 2016.2.i.b.881.15 | 24 | |||
168.125 | even | 2 | inner | 504.2.i.b.125.5 | ✓ | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
504.2.i.b.125.5 | ✓ | 24 | 168.125 | even | 2 | inner | |
504.2.i.b.125.6 | yes | 24 | 24.5 | odd | 2 | inner | |
504.2.i.b.125.7 | yes | 24 | 7.6 | odd | 2 | inner | |
504.2.i.b.125.8 | yes | 24 | 1.1 | even | 1 | trivial | |
504.2.i.b.125.17 | yes | 24 | 3.2 | odd | 2 | inner | |
504.2.i.b.125.18 | yes | 24 | 21.20 | even | 2 | inner | |
504.2.i.b.125.19 | yes | 24 | 8.5 | even | 2 | inner | |
504.2.i.b.125.20 | yes | 24 | 56.13 | odd | 2 | inner | |
2016.2.i.b.881.5 | 24 | 28.27 | even | 2 | |||
2016.2.i.b.881.6 | 24 | 24.11 | even | 2 | |||
2016.2.i.b.881.9 | 24 | 8.3 | odd | 2 | |||
2016.2.i.b.881.10 | 24 | 84.83 | odd | 2 | |||
2016.2.i.b.881.15 | 24 | 168.83 | odd | 2 | |||
2016.2.i.b.881.16 | 24 | 4.3 | odd | 2 | |||
2016.2.i.b.881.19 | 24 | 12.11 | even | 2 | |||
2016.2.i.b.881.20 | 24 | 56.27 | even | 2 |