Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [260,2,Mod(27,260)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(260, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 1, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("260.27");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 260 = 2^{2} \cdot 5 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 260.o (of order \(4\), degree \(2\), 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: | \(2.07611045255\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Relative dimension: | \(36\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 183.6 | ||
Character | \(\chi\) | \(=\) | 260.183 |
Dual form | 260.2.o.a.27.6 |
$q$-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 \(\left(\mathbb{Z}/260\mathbb{Z}\right)^\times\).
\(n\) | \(41\) | \(131\) | \(157\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{3}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.26622 | − | 0.629837i | −0.895351 | − | 0.445362i | ||||
\(3\) | 2.21225 | − | 2.21225i | 1.27724 | − | 1.27724i | 0.335035 | − | 0.942206i | \(-0.391252\pi\) |
0.942206 | − | 0.335035i | \(-0.108748\pi\) | |||||||
\(4\) | 1.20661 | + | 1.59502i | 0.603306 | + | 0.797510i | ||||
\(5\) | 1.36305 | + | 1.77259i | 0.609576 | + | 0.792728i | ||||
\(6\) | −4.19454 | + | 1.40783i | −1.71241 | + | 0.574744i | ||||
\(7\) | −2.47925 | − | 2.47925i | −0.937070 | − | 0.937070i | 0.0610640 | − | 0.998134i | \(-0.480551\pi\) |
−0.998134 | + | 0.0610640i | \(0.980551\pi\) | |||||||
\(8\) | −0.523229 | − | 2.77961i | −0.184989 | − | 0.982741i | ||||
\(9\) | − | 6.78807i | − | 2.26269i | ||||||
\(10\) | −0.609477 | − | 3.10299i | −0.192734 | − | 0.981251i | ||||
\(11\) | 1.32751i | 0.400259i | 0.979769 | + | 0.200129i | \(0.0641363\pi\) | ||||
−0.979769 | + | 0.200129i | \(0.935864\pi\) | |||||||
\(12\) | 6.19790 | + | 0.859257i | 1.78918 | + | 0.248046i | ||||
\(13\) | 0.707107 | + | 0.707107i | 0.196116 | + | 0.196116i | ||||
\(14\) | 1.57775 | + | 4.70080i | 0.421671 | + | 1.25634i | ||||
\(15\) | 6.93682 | + | 0.906002i | 1.79108 | + | 0.233929i | ||||
\(16\) | −1.08818 | + | 3.84914i | −0.272045 | + | 0.962285i | ||||
\(17\) | 4.38472 | − | 4.38472i | 1.06345 | − | 1.06345i | 0.0656042 | − | 0.997846i | \(-0.479103\pi\) |
0.997846 | − | 0.0656042i | \(-0.0208975\pi\) | |||||||
\(18\) | −4.27537 | + | 8.59516i | −1.00772 | + | 2.02590i | ||||
\(19\) | 0.135619 | 0.0311131 | 0.0155565 | − | 0.999879i | \(-0.495048\pi\) | ||||
0.0155565 | + | 0.999879i | \(0.495048\pi\) | |||||||
\(20\) | −1.18265 | + | 4.31293i | −0.264448 | + | 0.964400i | ||||
\(21\) | −10.9694 | −2.39373 | ||||||||
\(22\) | 0.836114 | − | 1.68091i | 0.178260 | − | 0.358372i | ||||
\(23\) | 0.621580 | − | 0.621580i | 0.129608 | − | 0.129608i | −0.639327 | − | 0.768935i | \(-0.720787\pi\) |
0.768935 | + | 0.639327i | \(0.220787\pi\) | |||||||
\(24\) | −7.30669 | − | 4.99167i | −1.49147 | − | 1.01892i | ||||
\(25\) | −1.28417 | + | 4.83228i | −0.256834 | + | 0.966456i | ||||
\(26\) | −0.449989 | − | 1.34071i | −0.0882500 | − | 0.262935i | ||||
\(27\) | −8.38013 | − | 8.38013i | −1.61276 | − | 1.61276i | ||||
\(28\) | 0.962965 | − | 6.94596i | 0.181983 | − | 1.31266i | ||||
\(29\) | 2.54775i | 0.473106i | 0.971619 | + | 0.236553i | \(0.0760177\pi\) | ||||
−0.971619 | + | 0.236553i | \(0.923982\pi\) | |||||||
\(30\) | −8.21289 | − | 5.51626i | −1.49946 | − | 1.00713i | ||||
\(31\) | 3.33827i | 0.599571i | 0.954007 | + | 0.299785i | \(0.0969150\pi\) | ||||
−0.954007 | + | 0.299785i | \(0.903085\pi\) | |||||||
\(32\) | 3.80220 | − | 4.18847i | 0.672140 | − | 0.740424i | ||||
\(33\) | 2.93678 | + | 2.93678i | 0.511227 | + | 0.511227i | ||||
\(34\) | −8.31366 | + | 2.79035i | −1.42578 | + | 0.478540i | ||||
\(35\) | 1.01535 | − | 7.77406i | 0.171626 | − | 1.31406i | ||||
\(36\) | 10.8271 | − | 8.19056i | 1.80452 | − | 1.36509i | ||||
\(37\) | −6.56388 | + | 6.56388i | −1.07909 | + | 1.07909i | −0.0825042 | + | 0.996591i | \(0.526292\pi\) |
−0.996591 | + | 0.0825042i | \(0.973708\pi\) | |||||||
\(38\) | −0.171723 | − | 0.0854176i | −0.0278571 | − | 0.0138566i | ||||
\(39\) | 3.12859 | 0.500975 | ||||||||
\(40\) | 4.21393 | − | 4.71623i | 0.666280 | − | 0.745701i | ||||
\(41\) | 3.69287 | 0.576730 | 0.288365 | − | 0.957521i | \(-0.406888\pi\) | ||||
0.288365 | + | 0.957521i | \(0.406888\pi\) | |||||||
\(42\) | 13.8897 | + | 6.90896i | 2.14323 | + | 1.06608i | ||||
\(43\) | −4.48096 | + | 4.48096i | −0.683340 | + | 0.683340i | −0.960751 | − | 0.277411i | \(-0.910523\pi\) |
0.277411 | + | 0.960751i | \(0.410523\pi\) | |||||||
\(44\) | −2.11740 | + | 1.60179i | −0.319211 | + | 0.241478i | ||||
\(45\) | 12.0325 | − | 9.25250i | 1.79370 | − | 1.37928i | ||||
\(46\) | −1.17855 | + | 0.395561i | −0.173768 | + | 0.0583223i | ||||
\(47\) | 0.681313 | + | 0.681313i | 0.0993797 | + | 0.0993797i | 0.755049 | − | 0.655669i | \(-0.227613\pi\) |
−0.655669 | + | 0.755049i | \(0.727613\pi\) | |||||||
\(48\) | 6.10792 | + | 10.9226i | 0.881602 | + | 1.57654i | ||||
\(49\) | 5.29340i | 0.756200i | ||||||||
\(50\) | 4.66958 | − | 5.30989i | 0.660379 | − | 0.750932i | ||||
\(51\) | − | 19.4001i | − | 2.71656i | ||||||
\(52\) | −0.274647 | + | 1.98105i | −0.0380867 | + | 0.274723i | ||||
\(53\) | 7.99063 | + | 7.99063i | 1.09760 | + | 1.09760i | 0.994691 | + | 0.102906i | \(0.0328142\pi\) |
0.102906 | + | 0.994691i | \(0.467186\pi\) | |||||||
\(54\) | 5.33295 | + | 15.8892i | 0.725723 | + | 2.16224i | ||||
\(55\) | −2.35313 | + | 1.80947i | −0.317296 | + | 0.243988i | ||||
\(56\) | −5.59414 | + | 8.18858i | −0.747549 | + | 1.09424i | ||||
\(57\) | 0.300022 | − | 0.300022i | 0.0397389 | − | 0.0397389i | ||||
\(58\) | 1.60467 | − | 3.22601i | 0.210703 | − | 0.423596i | ||||
\(59\) | −3.78272 | −0.492468 | −0.246234 | − | 0.969210i | \(-0.579193\pi\) | ||||
−0.246234 | + | 0.969210i | \(0.579193\pi\) | |||||||
\(60\) | 6.92495 | + | 12.1576i | 0.894008 | + | 1.56953i | ||||
\(61\) | −11.8592 | −1.51841 | −0.759206 | − | 0.650850i | \(-0.774413\pi\) | ||||
−0.759206 | + | 0.650850i | \(0.774413\pi\) | |||||||
\(62\) | 2.10256 | − | 4.22697i | 0.267026 | − | 0.536826i | ||||
\(63\) | −16.8293 | + | 16.8293i | −2.12030 | + | 2.12030i | ||||
\(64\) | −7.45246 | + | 2.90874i | −0.931558 | + | 0.363593i | ||||
\(65\) | −0.289588 | + | 2.21724i | −0.0359190 | + | 0.275014i | ||||
\(66\) | −1.86891 | − | 5.56828i | −0.230046 | − | 0.685408i | ||||
\(67\) | 5.75276 | + | 5.75276i | 0.702811 | + | 0.702811i | 0.965013 | − | 0.262202i | \(-0.0844486\pi\) |
−0.262202 | + | 0.965013i | \(0.584449\pi\) | |||||||
\(68\) | 12.2844 | + | 1.70306i | 1.48970 | + | 0.206527i | ||||
\(69\) | − | 2.75018i | − | 0.331082i | ||||||
\(70\) | −6.18205 | + | 9.20415i | −0.738896 | + | 1.10011i | ||||
\(71\) | 4.51098i | 0.535355i | 0.963509 | + | 0.267678i | \(0.0862562\pi\) | ||||
−0.963509 | + | 0.267678i | \(0.913744\pi\) | |||||||
\(72\) | −18.8682 | + | 3.55171i | −2.22364 | + | 0.418573i | ||||
\(73\) | −3.49731 | − | 3.49731i | −0.409329 | − | 0.409329i | 0.472176 | − | 0.881504i | \(-0.343469\pi\) |
−0.881504 | + | 0.472176i | \(0.843469\pi\) | |||||||
\(74\) | 12.4455 | − | 4.17712i | 1.44676 | − | 0.485581i | ||||
\(75\) | 7.84929 | + | 13.5311i | 0.906358 | + | 1.56244i | ||||
\(76\) | 0.163639 | + | 0.216315i | 0.0187707 | + | 0.0248130i | ||||
\(77\) | 3.29123 | − | 3.29123i | 0.375071 | − | 0.375071i | ||||
\(78\) | −3.96147 | − | 1.97050i | −0.448548 | − | 0.223115i | ||||
\(79\) | 12.6798 | 1.42658 | 0.713292 | − | 0.700867i | \(-0.247203\pi\) | ||||
0.713292 | + | 0.700867i | \(0.247203\pi\) | |||||||
\(80\) | −8.30620 | + | 3.31768i | −0.928662 | + | 0.370928i | ||||
\(81\) | −16.7136 | −1.85707 | ||||||||
\(82\) | −4.67598 | − | 2.32591i | −0.516375 | − | 0.256854i | ||||
\(83\) | 2.19005 | − | 2.19005i | 0.240390 | − | 0.240390i | −0.576622 | − | 0.817011i | \(-0.695629\pi\) |
0.817011 | + | 0.576622i | \(0.195629\pi\) | |||||||
\(84\) | −13.2358 | − | 17.4965i | −1.44415 | − | 1.90902i | ||||
\(85\) | 13.7489 | + | 1.79571i | 1.49128 | + | 0.194772i | ||||
\(86\) | 8.49614 | − | 2.85159i | 0.916162 | − | 0.307495i | ||||
\(87\) | 5.63626 | + | 5.63626i | 0.604270 | + | 0.604270i | ||||
\(88\) | 3.68996 | − | 0.694591i | 0.393351 | − | 0.0740436i | ||||
\(89\) | − | 5.56362i | − | 0.589742i | −0.955537 | − | 0.294871i | \(-0.904723\pi\) | ||
0.955537 | − | 0.294871i | \(-0.0952767\pi\) | |||||||
\(90\) | −21.0633 | + | 4.13717i | −2.22027 | + | 0.436096i | ||||
\(91\) | − | 3.50619i | − | 0.367549i | ||||||
\(92\) | 1.74144 | + | 0.241428i | 0.181558 | + | 0.0251706i | ||||
\(93\) | 7.38507 | + | 7.38507i | 0.765796 | + | 0.765796i | ||||
\(94\) | −0.433574 | − | 1.29181i | −0.0447197 | − | 0.133240i | ||||
\(95\) | 0.184856 | + | 0.240397i | 0.0189658 | + | 0.0246642i | ||||
\(96\) | −0.854520 | − | 17.6773i | −0.0872141 | − | 1.80418i | ||||
\(97\) | −0.789152 | + | 0.789152i | −0.0801262 | + | 0.0801262i | −0.746034 | − | 0.665908i | \(-0.768044\pi\) |
0.665908 | + | 0.746034i | \(0.268044\pi\) | |||||||
\(98\) | 3.33398 | − | 6.70259i | 0.336783 | − | 0.677064i | ||||
\(99\) | 9.01122 | 0.905661 | ||||||||
\(100\) | −9.25707 | + | 3.78240i | −0.925707 | + | 0.378240i | ||||
\(101\) | 15.9336 | 1.58546 | 0.792728 | − | 0.609576i | \(-0.208660\pi\) | ||||
0.792728 | + | 0.609576i | \(0.208660\pi\) | |||||||
\(102\) | −12.2189 | + | 24.5648i | −1.20985 | + | 2.43228i | ||||
\(103\) | −3.40973 | + | 3.40973i | −0.335970 | + | 0.335970i | −0.854848 | − | 0.518878i | \(-0.826350\pi\) |
0.518878 | + | 0.854848i | \(0.326350\pi\) | |||||||
\(104\) | 1.59550 | − | 2.33546i | 0.156452 | − | 0.229011i | ||||
\(105\) | −14.9519 | − | 19.4443i | −1.45916 | − | 1.89757i | ||||
\(106\) | −5.08508 | − | 15.1507i | −0.493906 | − | 1.47156i | ||||
\(107\) | −3.76190 | − | 3.76190i | −0.363677 | − | 0.363677i | 0.501488 | − | 0.865165i | \(-0.332786\pi\) |
−0.865165 | + | 0.501488i | \(0.832786\pi\) | |||||||
\(108\) | 3.25492 | − | 23.4780i | 0.313205 | − | 2.25918i | ||||
\(109\) | − | 2.01777i | − | 0.193268i | −0.995320 | − | 0.0966338i | \(-0.969192\pi\) | ||
0.995320 | − | 0.0966338i | \(-0.0308076\pi\) | |||||||
\(110\) | 4.11924 | − | 0.809086i | 0.392754 | − | 0.0771434i | ||||
\(111\) | 29.0418i | 2.75653i | ||||||||
\(112\) | 12.2409 | − | 6.84512i | 1.15665 | − | 0.646803i | ||||
\(113\) | −7.84449 | − | 7.84449i | −0.737948 | − | 0.737948i | 0.234233 | − | 0.972181i | \(-0.424742\pi\) |
−0.972181 | + | 0.234233i | \(0.924742\pi\) | |||||||
\(114\) | −0.568858 | + | 0.190928i | −0.0532784 | + | 0.0178820i | ||||
\(115\) | 1.94906 | + | 0.254562i | 0.181750 | + | 0.0237380i | ||||
\(116\) | −4.06372 | + | 3.07415i | −0.377307 | + | 0.285427i | ||||
\(117\) | 4.79989 | − | 4.79989i | 0.443750 | − | 0.443750i | ||||
\(118\) | 4.78974 | + | 2.38250i | 0.440932 | + | 0.219326i | ||||
\(119\) | −21.7417 | −1.99305 | ||||||||
\(120\) | −1.11121 | − | 19.7557i | −0.101440 | − | 1.80344i | ||||
\(121\) | 9.23772 | 0.839793 | ||||||||
\(122\) | 15.0163 | + | 7.46935i | 1.35951 | + | 0.676243i | ||||
\(123\) | 8.16954 | − | 8.16954i | 0.736623 | − | 0.736623i | ||||
\(124\) | −5.32460 | + | 4.02799i | −0.478164 | + | 0.361724i | ||||
\(125\) | −10.3161 | + | 4.31034i | −0.922696 | + | 0.385529i | ||||
\(126\) | 31.9093 | − | 10.7099i | 2.84271 | − | 0.954110i | ||||
\(127\) | −14.4150 | − | 14.4150i | −1.27913 | − | 1.27913i | −0.941156 | − | 0.337973i | \(-0.890259\pi\) |
−0.337973 | − | 0.941156i | \(-0.609741\pi\) | |||||||
\(128\) | 11.2685 | + | 1.01073i | 0.996001 | + | 0.0893371i | ||||
\(129\) | 19.8260i | 1.74558i | ||||||||
\(130\) | 1.76318 | − | 2.62511i | 0.154641 | − | 0.230237i | ||||
\(131\) | 21.0027i | 1.83502i | 0.397714 | + | 0.917509i | \(0.369804\pi\) | ||||
−0.397714 | + | 0.917509i | \(0.630196\pi\) | |||||||
\(132\) | −1.14067 | + | 8.22776i | −0.0992826 | + | 0.716135i | ||||
\(133\) | −0.336233 | − | 0.336233i | −0.0291551 | − | 0.0291551i | ||||
\(134\) | −3.66094 | − | 10.9075i | −0.316257 | − | 0.942268i | ||||
\(135\) | 3.43199 | − | 26.2771i | 0.295379 | − | 2.26158i | ||||
\(136\) | −14.4820 | − | 9.89359i | −1.24182 | − | 0.848368i | ||||
\(137\) | 4.47775 | − | 4.47775i | 0.382560 | − | 0.382560i | −0.489464 | − | 0.872024i | \(-0.662807\pi\) |
0.872024 | + | 0.489464i | \(0.162807\pi\) | |||||||
\(138\) | −1.73216 | + | 3.48232i | −0.147452 | + | 0.296435i | ||||
\(139\) | −18.6728 | −1.58381 | −0.791903 | − | 0.610646i | \(-0.790910\pi\) | ||||
−0.791903 | + | 0.610646i | \(0.790910\pi\) | |||||||
\(140\) | 13.6249 | − | 7.76076i | 1.15152 | − | 0.655904i | ||||
\(141\) | 3.01446 | 0.253864 | ||||||||
\(142\) | 2.84118 | − | 5.71189i | 0.238427 | − | 0.479331i | ||||
\(143\) | −0.938690 | + | 0.938690i | −0.0784972 | + | 0.0784972i | ||||
\(144\) | 26.1282 | + | 7.38663i | 2.17735 | + | 0.615553i | ||||
\(145\) | −4.51613 | + | 3.47272i | −0.375044 | + | 0.288394i | ||||
\(146\) | 2.22562 | + | 6.63108i | 0.184193 | + | 0.548792i | ||||
\(147\) | 11.7103 | + | 11.7103i | 0.965850 | + | 0.965850i | ||||
\(148\) | −18.3896 | − | 2.54947i | −1.51161 | − | 0.209565i | ||||
\(149\) | − | 2.16250i | − | 0.177159i | −0.996069 | − | 0.0885794i | \(-0.971767\pi\) | ||
0.996069 | − | 0.0885794i | \(-0.0282327\pi\) | |||||||
\(150\) | −1.41652 | − | 22.0771i | −0.115659 | − | 1.80258i | ||||
\(151\) | − | 11.4939i | − | 0.935359i | −0.883898 | − | 0.467679i | \(-0.845090\pi\) | ||
0.883898 | − | 0.467679i | \(-0.154910\pi\) | |||||||
\(152\) | −0.0709596 | − | 0.376967i | −0.00575558 | − | 0.0305761i | ||||
\(153\) | −29.7637 | − | 29.7637i | −2.40626 | − | 2.40626i | ||||
\(154\) | −6.24035 | + | 2.09447i | −0.502862 | + | 0.168778i | ||||
\(155\) | −5.91739 | + | 4.55024i | −0.475296 | + | 0.365484i | ||||
\(156\) | 3.77499 | + | 4.99016i | 0.302241 | + | 0.399533i | ||||
\(157\) | −3.26515 | + | 3.26515i | −0.260587 | + | 0.260587i | −0.825293 | − | 0.564705i | \(-0.808990\pi\) |
0.564705 | + | 0.825293i | \(0.308990\pi\) | |||||||
\(158\) | −16.0553 | − | 7.98618i | −1.27729 | − | 0.635346i | ||||
\(159\) | 35.3545 | 2.80379 | ||||||||
\(160\) | 12.6071 | + | 1.03065i | 0.996675 | + | 0.0814797i | ||||
\(161\) | −3.08211 | −0.242904 | ||||||||
\(162\) | 21.1631 | + | 10.5269i | 1.66273 | + | 0.827069i | ||||
\(163\) | 15.9970 | − | 15.9970i | 1.25299 | − | 1.25299i | 0.298610 | − | 0.954375i | \(-0.403477\pi\) |
0.954375 | − | 0.298610i | \(-0.0965231\pi\) | |||||||
\(164\) | 4.45586 | + | 5.89021i | 0.347944 | + | 0.459948i | ||||
\(165\) | −1.20272 | + | 9.20869i | −0.0936320 | + | 0.716895i | ||||
\(166\) | −4.15246 | + | 1.39371i | −0.322293 | + | 0.108173i | ||||
\(167\) | −10.7952 | − | 10.7952i | −0.835357 | − | 0.835357i | 0.152887 | − | 0.988244i | \(-0.451143\pi\) |
−0.988244 | + | 0.152887i | \(0.951143\pi\) | |||||||
\(168\) | 5.73953 | + | 30.4908i | 0.442814 | + | 2.35241i | ||||
\(169\) | 1.00000i | 0.0769231i | ||||||||
\(170\) | −16.2781 | − | 10.9333i | −1.24847 | − | 0.838549i | ||||
\(171\) | − | 0.920589i | − | 0.0703992i | ||||||
\(172\) | −12.5540 | − | 1.74045i | −0.957233 | − | 0.132708i | ||||
\(173\) | −8.75163 | − | 8.75163i | −0.665374 | − | 0.665374i | 0.291268 | − | 0.956642i | \(-0.405923\pi\) |
−0.956642 | + | 0.291268i | \(0.905923\pi\) | |||||||
\(174\) | −3.58680 | − | 10.6866i | −0.271915 | − | 0.810152i | ||||
\(175\) | 15.1642 | − | 8.79666i | 1.14631 | − | 0.664965i | ||||
\(176\) | −5.10976 | − | 1.44457i | −0.385163 | − | 0.108888i | ||||
\(177\) | −8.36830 | + | 8.36830i | −0.629000 | + | 0.629000i | ||||
\(178\) | −3.50417 | + | 7.04475i | −0.262649 | + | 0.528026i | ||||
\(179\) | −10.6924 | −0.799191 | −0.399595 | − | 0.916692i | \(-0.630849\pi\) | ||||
−0.399595 | + | 0.916692i | \(0.630849\pi\) | |||||||
\(180\) | 29.2764 | + | 8.02788i | 2.18214 | + | 0.598363i | ||||
\(181\) | −5.27363 | −0.391986 | −0.195993 | − | 0.980605i | \(-0.562793\pi\) | ||||
−0.195993 | + | 0.980605i | \(0.562793\pi\) | |||||||
\(182\) | −2.20833 | + | 4.43960i | −0.163692 | + | 0.329085i | ||||
\(183\) | −26.2354 | + | 26.2354i | −1.93938 | + | 1.93938i | ||||
\(184\) | −2.05298 | − | 1.40252i | −0.151348 | − | 0.103395i | ||||
\(185\) | −20.5820 | − | 2.68817i | −1.51322 | − | 0.197638i | ||||
\(186\) | −4.69971 | − | 14.0025i | −0.344600 | − | 1.02671i | ||||
\(187\) | 5.82075 | + | 5.82075i | 0.425655 | + | 0.425655i | ||||
\(188\) | −0.264628 | + | 1.90879i | −0.0193000 | + | 0.139213i | ||||
\(189\) | 41.5530i | 3.02253i | ||||||||
\(190\) | −0.0826565 | − | 0.420823i | −0.00599653 | − | 0.0305297i | ||||
\(191\) | 9.08353i | 0.657261i | 0.944459 | + | 0.328631i | \(0.106587\pi\) | ||||
−0.944459 | + | 0.328631i | \(0.893413\pi\) | |||||||
\(192\) | −10.0518 | + | 22.9215i | −0.725428 | + | 1.65422i | ||||
\(193\) | 7.15737 | + | 7.15737i | 0.515199 | + | 0.515199i | 0.916115 | − | 0.400916i | \(-0.131308\pi\) |
−0.400916 | + | 0.916115i | \(0.631308\pi\) | |||||||
\(194\) | 1.49627 | − | 0.502201i | 0.107426 | − | 0.0360559i | ||||
\(195\) | 4.26443 | + | 5.54571i | 0.305382 | + | 0.397137i | ||||
\(196\) | −8.44308 | + | 6.38707i | −0.603077 | + | 0.456220i | ||||
\(197\) | −3.65263 | + | 3.65263i | −0.260239 | + | 0.260239i | −0.825151 | − | 0.564912i | \(-0.808910\pi\) |
0.564912 | + | 0.825151i | \(0.308910\pi\) | |||||||
\(198\) | −11.4102 | − | 5.67560i | −0.810884 | − | 0.403347i | ||||
\(199\) | 6.66227 | 0.472276 | 0.236138 | − | 0.971720i | \(-0.424118\pi\) | ||||
0.236138 | + | 0.971720i | \(0.424118\pi\) | |||||||
\(200\) | 14.1038 | + | 1.04111i | 0.997287 | + | 0.0736172i | ||||
\(201\) | 25.4530 | 1.79532 | ||||||||
\(202\) | −20.1754 | − | 10.0356i | −1.41954 | − | 0.706101i | ||||
\(203\) | 6.31653 | − | 6.31653i | 0.443333 | − | 0.443333i | ||||
\(204\) | 30.9436 | − | 23.4084i | 2.16649 | − | 1.63892i | ||||
\(205\) | 5.03358 | + | 6.54596i | 0.351561 | + | 0.457190i | ||||
\(206\) | 6.46502 | − | 2.16988i | 0.450439 | − | 0.151183i | ||||
\(207\) | −4.21933 | − | 4.21933i | −0.293264 | − | 0.293264i | ||||
\(208\) | −3.49121 | + | 1.95229i | −0.242072 | + | 0.135367i | ||||
\(209\) | 0.180035i | 0.0124533i | ||||||||
\(210\) | 6.68562 | + | 34.0380i | 0.461352 | + | 2.34885i | ||||
\(211\) | 9.87309i | 0.679692i | 0.940481 | + | 0.339846i | \(0.110375\pi\) | ||||
−0.940481 | + | 0.339846i | \(0.889625\pi\) | |||||||
\(212\) | −3.10363 | + | 22.3868i | −0.213158 | + | 1.53753i | ||||
\(213\) | 9.97941 | + | 9.97941i | 0.683778 | + | 0.683778i | ||||
\(214\) | 2.39400 | + | 7.13277i | 0.163650 | + | 0.487586i | ||||
\(215\) | −14.0507 | − | 1.83513i | −0.958250 | − | 0.125155i | ||||
\(216\) | −18.9088 | + | 27.6782i | −1.28658 | + | 1.88327i | ||||
\(217\) | 8.27641 | − | 8.27641i | 0.561839 | − | 0.561839i | ||||
\(218\) | −1.27087 | + | 2.55494i | −0.0860740 | + | 0.173042i | ||||
\(219\) | −15.4738 | −1.04562 | ||||||||
\(220\) | −5.72545 | − | 1.56997i | −0.386010 | − | 0.105848i | ||||
\(221\) | 6.20093 | 0.417119 | ||||||||
\(222\) | 18.2916 | − | 36.7733i | 1.22765 | − | 2.46806i | ||||
\(223\) | 3.26129 | − | 3.26129i | 0.218392 | − | 0.218392i | −0.589429 | − | 0.807821i | \(-0.700647\pi\) |
0.807821 | + | 0.589429i | \(0.200647\pi\) | |||||||
\(224\) | −19.8109 | + | 0.957657i | −1.32367 | + | 0.0639862i | ||||
\(225\) | 32.8018 | + | 8.71703i | 2.18679 | + | 0.581135i | ||||
\(226\) | 4.99208 | + | 14.8736i | 0.332068 | + | 0.989376i | ||||
\(227\) | −6.50040 | − | 6.50040i | −0.431446 | − | 0.431446i | 0.457674 | − | 0.889120i | \(-0.348683\pi\) |
−0.889120 | + | 0.457674i | \(0.848683\pi\) | |||||||
\(228\) | 0.840551 | + | 0.116531i | 0.0556668 | + | 0.00771747i | ||||
\(229\) | − | 13.3363i | − | 0.881290i | −0.897681 | − | 0.440645i | \(-0.854750\pi\) | ||
0.897681 | − | 0.440645i | \(-0.145250\pi\) | |||||||
\(230\) | −2.30760 | − | 1.54992i | −0.152158 | − | 0.102199i | ||||
\(231\) | − | 14.5620i | − | 0.958111i | ||||||
\(232\) | 7.08176 | − | 1.33306i | 0.464940 | − | 0.0875195i | ||||
\(233\) | −0.823071 | − | 0.823071i | −0.0539212 | − | 0.0539212i | 0.679632 | − | 0.733553i | \(-0.262139\pi\) |
−0.733553 | + | 0.679632i | \(0.762139\pi\) | |||||||
\(234\) | −9.10085 | + | 3.05455i | −0.594941 | + | 0.199682i | ||||
\(235\) | −0.279024 | + | 2.13636i | −0.0182015 | + | 0.139360i | ||||
\(236\) | −4.56427 | − | 6.03351i | −0.297109 | − | 0.392748i | ||||
\(237\) | 28.0507 | − | 28.0507i | 1.82209 | − | 1.82209i | ||||
\(238\) | 27.5296 | + | 13.6937i | 1.78448 | + | 0.887630i | ||||
\(239\) | −8.16814 | −0.528353 | −0.264177 | − | 0.964474i | \(-0.585100\pi\) | ||||
−0.264177 | + | 0.964474i | \(0.585100\pi\) | |||||||
\(240\) | −11.0358 | + | 25.7149i | −0.712360 | + | 1.65989i | ||||
\(241\) | −17.3321 | −1.11646 | −0.558231 | − | 0.829686i | \(-0.688520\pi\) | ||||
−0.558231 | + | 0.829686i | \(0.688520\pi\) | |||||||
\(242\) | −11.6970 | − | 5.81826i | −0.751909 | − | 0.374012i | ||||
\(243\) | −11.8343 | + | 11.8343i | −0.759170 | + | 0.759170i | ||||
\(244\) | −14.3094 | − | 18.9156i | −0.916066 | − | 1.21095i | ||||
\(245\) | −9.38304 | + | 7.21519i | −0.599461 | + | 0.460961i | ||||
\(246\) | −15.4899 | + | 5.19894i | −0.987600 | + | 0.331472i | ||||
\(247\) | 0.0958969 | + | 0.0958969i | 0.00610177 | + | 0.00610177i | ||||
\(248\) | 9.27908 | − | 1.74668i | 0.589222 | − | 0.110914i | ||||
\(249\) | − | 9.68988i | − | 0.614071i | ||||||
\(250\) | 15.7772 | + | 1.03960i | 0.997836 | + | 0.0657502i | ||||
\(251\) | 1.59327i | 0.100566i | 0.998735 | + | 0.0502831i | \(0.0160124\pi\) | ||||
−0.998735 | + | 0.0502831i | \(0.983988\pi\) | |||||||
\(252\) | −47.1496 | − | 6.53667i | −2.97015 | − | 0.411772i | ||||
\(253\) | 0.825153 | + | 0.825153i | 0.0518769 | + | 0.0518769i | ||||
\(254\) | 9.17345 | + | 27.3317i | 0.575593 | + | 1.71494i | ||||
\(255\) | 34.3886 | − | 26.4434i | 2.15349 | − | 1.65595i | ||||
\(256\) | −13.6317 | − | 8.37711i | −0.851983 | − | 0.523569i | ||||
\(257\) | 9.75097 | − | 9.75097i | 0.608249 | − | 0.608249i | −0.334239 | − | 0.942488i | \(-0.608479\pi\) |
0.942488 | + | 0.334239i | \(0.108479\pi\) | |||||||
\(258\) | 12.4871 | − | 25.1040i | 0.777414 | − | 1.56291i | ||||
\(259\) | 32.5470 | 2.02237 | ||||||||
\(260\) | −3.88596 | + | 2.21344i | −0.240997 | + | 0.137272i | ||||
\(261\) | 17.2943 | 1.07049 | ||||||||
\(262\) | 13.2283 | − | 26.5940i | 0.817247 | − | 1.64299i | ||||
\(263\) | 3.41329 | − | 3.41329i | 0.210472 | − | 0.210472i | −0.593996 | − | 0.804468i | \(-0.702450\pi\) |
0.804468 | + | 0.593996i | \(0.202450\pi\) | |||||||
\(264\) | 6.62648 | − | 9.69970i | 0.407832 | − | 0.596975i | ||||
\(265\) | −3.27248 | + | 25.0558i | −0.201027 | + | 1.53916i | ||||
\(266\) | 0.213972 | + | 0.637516i | 0.0131195 | + | 0.0390886i | ||||
\(267\) | −12.3081 | − | 12.3081i | −0.753243 | − | 0.753243i | ||||
\(268\) | −2.23442 | + | 16.1171i | −0.136489 | + | 0.984509i | ||||
\(269\) | 0.814410i | 0.0496555i | 0.999692 | + | 0.0248277i | \(0.00790372\pi\) | ||||
−0.999692 | + | 0.0248277i | \(0.992096\pi\) | |||||||
\(270\) | −20.8960 | + | 31.1110i | −1.27169 | + | 1.89335i | ||||
\(271\) | − | 5.38145i | − | 0.326900i | −0.986552 | − | 0.163450i | \(-0.947738\pi\) | ||
0.986552 | − | 0.163450i | \(-0.0522622\pi\) | |||||||
\(272\) | 12.1060 | + | 21.6487i | 0.734035 | + | 1.31265i | ||||
\(273\) | −7.75657 | − | 7.75657i | −0.469449 | − | 0.469449i | ||||
\(274\) | −8.49006 | + | 2.84955i | −0.512903 | + | 0.172148i | ||||
\(275\) | −6.41489 | − | 1.70475i | −0.386832 | − | 0.102800i | ||||
\(276\) | 4.38659 | − | 3.31839i | 0.264042 | − | 0.199744i | ||||
\(277\) | 2.08106 | − | 2.08106i | 0.125039 | − | 0.125039i | −0.641818 | − | 0.766857i | \(-0.721820\pi\) |
0.766857 | + | 0.641818i | \(0.221820\pi\) | |||||||
\(278\) | 23.6438 | + | 11.7608i | 1.41806 | + | 0.705367i | ||||
\(279\) | 22.6604 | 1.35664 | ||||||||
\(280\) | −22.1401 | + | 1.24533i | −1.32313 | + | 0.0744229i | ||||
\(281\) | 31.3093 | 1.86776 | 0.933878 | − | 0.357592i | \(-0.116402\pi\) | ||||
0.933878 | + | 0.357592i | \(0.116402\pi\) | |||||||
\(282\) | −3.81696 | − | 1.89862i | −0.227297 | − | 0.113061i | ||||
\(283\) | −13.3242 | + | 13.3242i | −0.792041 | + | 0.792041i | −0.981826 | − | 0.189785i | \(-0.939221\pi\) |
0.189785 | + | 0.981826i | \(0.439221\pi\) | |||||||
\(284\) | −7.19511 | + | 5.44300i | −0.426951 | + | 0.322983i | ||||
\(285\) | 0.940763 | + | 0.122871i | 0.0557260 | + | 0.00727824i | ||||
\(286\) | 1.77981 | − | 0.597364i | 0.105242 | − | 0.0353229i | ||||
\(287\) | −9.15557 | − | 9.15557i | −0.540436 | − | 0.540436i | ||||
\(288\) | −28.4316 | − | 25.8096i | −1.67535 | − | 1.52084i | ||||
\(289\) | − | 21.4515i | − | 1.26185i | ||||||
\(290\) | 7.90565 | − | 1.55280i | 0.464236 | − | 0.0911834i | ||||
\(291\) | 3.49160i | 0.204681i | ||||||||
\(292\) | 1.35839 | − | 9.79816i | 0.0794935 | − | 0.573394i | ||||
\(293\) | −9.96476 | − | 9.96476i | −0.582148 | − | 0.582148i | 0.353345 | − | 0.935493i | \(-0.385044\pi\) |
−0.935493 | + | 0.353345i | \(0.885044\pi\) | |||||||
\(294\) | −7.45220 | − | 22.2034i | −0.434621 | − | 1.29493i | ||||
\(295\) | −5.15605 | − | 6.70522i | −0.300197 | − | 0.390393i | ||||
\(296\) | 21.6794 | + | 14.8106i | 1.26009 | + | 0.860849i | ||||
\(297\) | 11.1247 | − | 11.1247i | 0.645521 | − | 0.645521i | ||||
\(298\) | −1.36202 | + | 2.73819i | −0.0788998 | + | 0.158619i | ||||
\(299\) | 0.879047 | 0.0508366 | ||||||||
\(300\) | −12.1113 | + | 28.8465i | −0.699248 | + | 1.66546i | ||||
\(301\) | 22.2189 | 1.28067 | ||||||||
\(302\) | −7.23927 | + | 14.5538i | −0.416573 | + | 0.837474i | ||||
\(303\) | 35.2491 | − | 35.2491i | 2.02501 | − | 2.02501i | ||||
\(304\) | −0.147577 | + | 0.522015i | −0.00846415 | + | 0.0299396i | ||||
\(305\) | −16.1647 | − | 21.0215i | −0.925588 | − | 1.20369i | ||||
\(306\) | 18.9411 | + | 56.4337i | 1.08279 | + | 3.22610i | ||||
\(307\) | −3.75196 | − | 3.75196i | −0.214136 | − | 0.214136i | 0.591886 | − | 0.806022i | \(-0.298384\pi\) |
−0.806022 | + | 0.591886i | \(0.798384\pi\) | |||||||
\(308\) | 9.22081 | + | 1.27834i | 0.525405 | + | 0.0728404i | ||||
\(309\) | 15.0863i | 0.858230i | ||||||||
\(310\) | 10.3586 | − | 2.03460i | 0.588329 | − | 0.115557i | ||||
\(311\) | 11.3949i | 0.646146i | 0.946374 | + | 0.323073i | \(0.104716\pi\) | ||||
−0.946374 | + | 0.323073i | \(0.895284\pi\) | |||||||
\(312\) | −1.63697 | − | 8.69626i | −0.0926751 | − | 0.492329i | ||||
\(313\) | −13.6506 | − | 13.6506i | −0.771575 | − | 0.771575i | 0.206807 | − | 0.978382i | \(-0.433693\pi\) |
−0.978382 | + | 0.206807i | \(0.933693\pi\) | |||||||
\(314\) | 6.19090 | − | 2.07788i | 0.349373 | − | 0.117261i | ||||
\(315\) | −52.7709 | − | 6.89227i | −2.97330 | − | 0.388336i | ||||
\(316\) | 15.2995 | + | 20.2245i | 0.860666 | + | 1.13772i | ||||
\(317\) | −13.2138 | + | 13.2138i | −0.742160 | + | 0.742160i | −0.972993 | − | 0.230833i | \(-0.925855\pi\) |
0.230833 | + | 0.972993i | \(0.425855\pi\) | |||||||
\(318\) | −44.7664 | − | 22.2676i | −2.51038 | − | 1.24870i | ||||
\(319\) | −3.38216 | −0.189365 | ||||||||
\(320\) | −15.3141 | − | 9.24541i | −0.856086 | − | 0.516834i | ||||
\(321\) | −16.6445 | −0.929005 | ||||||||
\(322\) | 3.90262 | + | 1.94123i | 0.217485 | + | 0.108180i | ||||
\(323\) | 0.594649 | − | 0.594649i | 0.0330872 | − | 0.0330872i | ||||
\(324\) | −20.1669 | − | 26.6586i | −1.12038 | − | 1.48103i | ||||
\(325\) | −4.32498 | + | 2.50889i | −0.239907 | + | 0.139168i | ||||
\(326\) | −30.3313 | + | 10.1802i | −1.67989 | + | 0.563829i | ||||
\(327\) | −4.46381 | − | 4.46381i | −0.246849 | − | 0.246849i | ||||
\(328\) | −1.93222 | − | 10.2647i | −0.106689 | − | 0.566776i | ||||
\(329\) | − | 3.37829i | − | 0.186251i | ||||||
\(330\) | 7.32288 | − | 10.9027i | 0.403111 | − | 0.600173i | ||||
\(331\) | 14.3131i | 0.786717i | 0.919385 | + | 0.393358i | \(0.128687\pi\) | ||||
−0.919385 | + | 0.393358i | \(0.871313\pi\) | |||||||
\(332\) | 6.13572 | + | 0.850637i | 0.336742 | + | 0.0466848i | ||||
\(333\) | 44.5560 | + | 44.5560i | 2.44166 | + | 2.44166i | ||||
\(334\) | 6.86985 | + | 20.4683i | 0.375901 | + | 1.11997i | ||||
\(335\) | −2.35598 | + | 18.0386i | −0.128721 | + | 0.985555i | ||||
\(336\) | 11.9367 | − | 42.2229i | 0.651201 | − | 2.30345i | ||||
\(337\) | −16.1524 | + | 16.1524i | −0.879878 | + | 0.879878i | −0.993522 | − | 0.113644i | \(-0.963748\pi\) |
0.113644 | + | 0.993522i | \(0.463748\pi\) | |||||||
\(338\) | 0.629837 | − | 1.26622i | 0.0342586 | − | 0.0688731i | ||||
\(339\) | −34.7079 | −1.88507 | ||||||||
\(340\) | 13.7254 | + | 24.0965i | 0.744364 | + | 1.30682i | ||||
\(341\) | −4.43158 | −0.239983 | ||||||||
\(342\) | −0.579821 | + | 1.16566i | −0.0313531 | + | 0.0630319i | ||||
\(343\) | −4.23109 | + | 4.23109i | −0.228458 | + | 0.228458i | ||||
\(344\) | 14.7999 | + | 10.1108i | 0.797956 | + | 0.545135i | ||||
\(345\) | 4.87494 | − | 3.74864i | 0.262458 | − | 0.201820i | ||||
\(346\) | 5.56936 | + | 16.5936i | 0.299411 | + | 0.892075i | ||||
\(347\) | 21.6981 | + | 21.6981i | 1.16481 | + | 1.16481i | 0.983409 | + | 0.181404i | \(0.0580641\pi\) |
0.181404 | + | 0.983409i | \(0.441936\pi\) | |||||||
\(348\) | −2.18917 | + | 15.7907i | −0.117352 | + | 0.846471i | ||||
\(349\) | − | 16.4301i | − | 0.879483i | −0.898124 | − | 0.439742i | \(-0.855070\pi\) | ||
0.898124 | − | 0.439742i | \(-0.144930\pi\) | |||||||
\(350\) | −24.7417 | + | 1.58749i | −1.32250 | + | 0.0848549i | ||||
\(351\) | − | 11.8513i | − | 0.632576i | ||||||
\(352\) | 5.56023 | + | 5.04745i | 0.296361 | + | 0.269030i | ||||
\(353\) | −10.5205 | − | 10.5205i | −0.559948 | − | 0.559948i | 0.369345 | − | 0.929292i | \(-0.379582\pi\) |
−0.929292 | + | 0.369345i | \(0.879582\pi\) | |||||||
\(354\) | 15.8668 | − | 5.32542i | 0.843309 | − | 0.283043i | ||||
\(355\) | −7.99614 | + | 6.14871i | −0.424391 | + | 0.326340i | ||||
\(356\) | 8.87408 | − | 6.71312i | 0.470325 | − | 0.355795i | ||||
\(357\) | −48.0979 | + | 48.0979i | −2.54561 | + | 2.54561i | ||||
\(358\) | 13.5390 | + | 6.73450i | 0.715556 | + | 0.355929i | ||||
\(359\) | −6.26986 | −0.330910 | −0.165455 | − | 0.986217i | \(-0.552909\pi\) | ||||
−0.165455 | + | 0.986217i | \(0.552909\pi\) | |||||||
\(360\) | −32.0141 | − | 28.6044i | −1.68729 | − | 1.50759i | ||||
\(361\) | −18.9816 | −0.999032 | ||||||||
\(362\) | 6.67756 | + | 3.32153i | 0.350965 | + | 0.174576i | ||||
\(363\) | 20.4361 | − | 20.4361i | 1.07262 | − | 1.07262i | ||||
\(364\) | 5.59245 | − | 4.23061i | 0.293124 | − | 0.221744i | ||||
\(365\) | 1.43228 | − | 10.9663i | 0.0749692 | − | 0.574003i | ||||
\(366\) | 49.7438 | − | 16.6957i | 2.60015 | − | 0.872698i | ||||
\(367\) | −10.4070 | − | 10.4070i | −0.543240 | − | 0.543240i | 0.381238 | − | 0.924477i | \(-0.375498\pi\) |
−0.924477 | + | 0.381238i | \(0.875498\pi\) | |||||||
\(368\) | 1.71616 | + | 3.06894i | 0.0894609 | + | 0.159980i | ||||
\(369\) | − | 25.0675i | − | 1.30496i | ||||||
\(370\) | 24.3682 | + | 16.3671i | 1.26684 | + | 0.850885i | ||||
\(371\) | − | 39.6216i | − | 2.05705i | ||||||
\(372\) | −2.86843 | + | 20.6902i | −0.148721 | + | 1.07274i | ||||
\(373\) | −4.94834 | − | 4.94834i | −0.256215 | − | 0.256215i | 0.567298 | − | 0.823513i | \(-0.307989\pi\) |
−0.823513 | + | 0.567298i | \(0.807989\pi\) | |||||||
\(374\) | −3.70421 | − | 11.0365i | −0.191540 | − | 0.570681i | ||||
\(375\) | −13.2861 | + | 32.3572i | −0.686092 | + | 1.67092i | ||||
\(376\) | 1.53730 | − | 2.25027i | 0.0792803 | − | 0.116049i | ||||
\(377\) | −1.80153 | + | 1.80153i | −0.0927837 | + | 0.0927837i | ||||
\(378\) | 26.1716 | − | 52.6151i | 1.34612 | − | 2.70623i | ||||
\(379\) | 23.0953 | 1.18633 | 0.593164 | − | 0.805082i | \(-0.297879\pi\) | ||||
0.593164 | + | 0.805082i | \(0.297879\pi\) | |||||||
\(380\) | −0.160389 | + | 0.584914i | −0.00822778 | + | 0.0300054i | ||||
\(381\) | −63.7793 | −3.26751 | ||||||||
\(382\) | 5.72114 | − | 11.5017i | 0.292719 | − | 0.588479i | ||||
\(383\) | 24.4550 | − | 24.4550i | 1.24959 | − | 1.24959i | 0.293694 | − | 0.955899i | \(-0.405115\pi\) |
0.955899 | − | 0.293694i | \(-0.0948847\pi\) | |||||||
\(384\) | 27.1646 | − | 22.6926i | 1.38624 | − | 1.15803i | ||||
\(385\) | 10.3201 | + | 1.34789i | 0.525963 | + | 0.0686947i | ||||
\(386\) | −4.55481 | − | 13.5708i | −0.231834 | − | 0.690734i | ||||
\(387\) | 30.4170 | + | 30.4170i | 1.54619 | + | 1.54619i | ||||
\(388\) | −2.21091 | − | 0.306514i | −0.112242 | − | 0.0155609i | ||||
\(389\) | − | 7.99677i | − | 0.405453i | −0.979235 | − | 0.202726i | \(-0.935020\pi\) | ||
0.979235 | − | 0.202726i | \(-0.0649802\pi\) | |||||||
\(390\) | −1.90680 | − | 9.70797i | −0.0965548 | − | 0.491582i | ||||
\(391\) | − | 5.45091i | − | 0.275664i | ||||||
\(392\) | 14.7136 | − | 2.76966i | 0.743148 | − | 0.139889i | ||||
\(393\) | 46.4633 | + | 46.4633i | 2.34376 | + | 2.34376i | ||||
\(394\) | 6.92558 | − | 2.32446i | 0.348906 | − | 0.117105i | ||||
\(395\) | 17.2832 | + | 22.4760i | 0.869611 | + | 1.13089i | ||||
\(396\) | 10.8730 | + | 14.3731i | 0.546390 | + | 0.722274i | ||||
\(397\) | 21.6665 | − | 21.6665i | 1.08741 | − | 1.08741i | 0.0916143 | − | 0.995795i | \(-0.470797\pi\) |
0.995795 | − | 0.0916143i | \(-0.0292027\pi\) | |||||||
\(398\) | −8.43588 | − | 4.19614i | −0.422852 | − | 0.210334i | ||||
\(399\) | −1.48766 | −0.0744762 | ||||||||
\(400\) | −17.2027 | − | 10.2013i | −0.860135 | − | 0.510067i | ||||
\(401\) | −15.6161 | −0.779829 | −0.389915 | − | 0.920851i | \(-0.627495\pi\) | ||||
−0.389915 | + | 0.920851i | \(0.627495\pi\) | |||||||
\(402\) | −32.2291 | − | 16.0313i | −1.60744 | − | 0.799567i | ||||
\(403\) | −2.36051 | + | 2.36051i | −0.117585 | + | 0.117585i | ||||
\(404\) | 19.2257 | + | 25.4145i | 0.956514 | + | 1.26442i | ||||
\(405\) | −22.7816 | − | 29.6265i | −1.13203 | − | 1.47215i | ||||
\(406\) | −11.9765 | + | 4.01971i | −0.594382 | + | 0.199495i | ||||
\(407\) | −8.71360 | − | 8.71360i | −0.431917 | − | 0.431917i | ||||
\(408\) | −53.9248 | + | 10.1507i | −2.66968 | + | 0.502535i | ||||
\(409\) | 8.44385i | 0.417521i | 0.977967 | + | 0.208761i | \(0.0669430\pi\) | ||||
−0.977967 | + | 0.208761i | \(0.933057\pi\) | |||||||
\(410\) | −2.25072 | − | 11.4589i | −0.111155 | − | 0.565917i | ||||
\(411\) | − | 19.8118i | − | 0.977243i | ||||||
\(412\) | −9.55279 | − | 1.32437i | −0.470632 | − | 0.0652470i | ||||
\(413\) | 9.37832 | + | 9.37832i | 0.461477 | + | 0.461477i | ||||
\(414\) | 2.68510 | + | 8.00007i | 0.131965 | + | 0.393182i | ||||
\(415\) | 6.86723 | + | 0.896913i | 0.337099 | + | 0.0440277i | ||||
\(416\) | 5.65026 | − | 0.273133i | 0.277027 | − | 0.0133914i | ||||
\(417\) | −41.3089 | + | 41.3089i | −2.02290 | + | 2.02290i | ||||
\(418\) | 0.113393 | − | 0.227963i | 0.00554622 | − | 0.0111501i | ||||
\(419\) | 18.9187 | 0.924238 | 0.462119 | − | 0.886818i | \(-0.347089\pi\) | ||||
0.462119 | + | 0.886818i | \(0.347089\pi\) | |||||||
\(420\) | 12.9730 | − | 47.3104i | 0.633016 | − | 2.30851i | ||||
\(421\) | 18.8621 | 0.919280 | 0.459640 | − | 0.888105i | \(-0.347978\pi\) | ||||
0.459640 | + | 0.888105i | \(0.347978\pi\) | |||||||
\(422\) | 6.21844 | − | 12.5015i | 0.302709 | − | 0.608563i | ||||
\(423\) | 4.62480 | − | 4.62480i | 0.224865 | − | 0.224865i | ||||
\(424\) | 18.0299 | − | 26.3918i | 0.875610 | − | 1.28170i | ||||
\(425\) | 15.5574 | + | 26.8189i | 0.754647 | + | 1.30091i | ||||
\(426\) | −6.35070 | − | 18.9215i | −0.307692 | − | 0.916750i | ||||
\(427\) | 29.4019 | + | 29.4019i | 1.42286 | + | 1.42286i | ||||
\(428\) | 1.46116 | − | 10.5395i | 0.0706277 | − | 0.509444i | ||||
\(429\) | 4.15323i | 0.200520i | ||||||||
\(430\) | 16.6354 | + | 11.1733i | 0.802231 | + | 0.538825i | ||||
\(431\) | − | 2.12748i | − | 0.102477i | −0.998686 | − | 0.0512386i | \(-0.983683\pi\) | ||
0.998686 | − | 0.0512386i | \(-0.0163169\pi\) | |||||||
\(432\) | 41.3754 | − | 23.1372i | 1.99067 | − | 1.11319i | ||||
\(433\) | −3.83254 | − | 3.83254i | −0.184180 | − | 0.184180i | 0.608994 | − | 0.793175i | \(-0.291573\pi\) |
−0.793175 | + | 0.608994i | \(0.791573\pi\) | |||||||
\(434\) | −15.6925 | + | 5.26694i | −0.753265 | + | 0.252821i | ||||
\(435\) | −2.30827 | + | 17.6733i | −0.110673 | + | 0.847370i | ||||
\(436\) | 3.21839 | − | 2.43467i | 0.154133 | − | 0.116599i | ||||
\(437\) | 0.0842979 | − | 0.0842979i | 0.00403252 | − | 0.00403252i | ||||
\(438\) | 19.5932 | + | 9.74597i | 0.936199 | + | 0.465681i | ||||
\(439\) | 14.4981 | 0.691955 | 0.345978 | − | 0.938243i | \(-0.387547\pi\) | ||||
0.345978 | + | 0.938243i | \(0.387547\pi\) | |||||||
\(440\) | 6.26083 | + | 5.59402i | 0.298474 | + | 0.266685i | ||||
\(441\) | 35.9319 | 1.71105 | ||||||||
\(442\) | −7.85172 | − | 3.90557i | −0.373468 | − | 0.185769i | ||||
\(443\) | 2.81674 | − | 2.81674i | 0.133827 | − | 0.133827i | −0.637020 | − | 0.770847i | \(-0.719833\pi\) |
0.770847 | + | 0.637020i | \(0.219833\pi\) | |||||||
\(444\) | −46.3223 | + | 35.0422i | −2.19836 | + | 1.66303i | ||||
\(445\) | 9.86203 | − | 7.58351i | 0.467505 | − | 0.359493i | ||||
\(446\) | −6.18358 | + | 2.07542i | −0.292801 | + | 0.0982739i | ||||
\(447\) | −4.78398 | − | 4.78398i | −0.226275 | − | 0.226275i | ||||
\(448\) | 25.6881 | + | 11.2650i | 1.21365 | + | 0.532223i | ||||
\(449\) | − | 24.0157i | − | 1.13337i | −0.823934 | − | 0.566686i | \(-0.808225\pi\) | ||
0.823934 | − | 0.566686i | \(-0.191775\pi\) | |||||||
\(450\) | −36.0439 | − | 31.6974i | −1.69913 | − | 1.49423i | ||||
\(451\) | 4.90232i | 0.230841i | ||||||||
\(452\) | 3.04687 | − | 21.9774i | 0.143313 | − | 1.03373i | ||||
\(453\) | −25.4273 | − | 25.4273i | −1.19468 | − | 1.19468i | ||||
\(454\) | 4.13672 | + | 12.3251i | 0.194146 | + | 0.578446i | ||||
\(455\) | 6.21506 | − | 4.77913i | 0.291366 | − | 0.224049i | ||||
\(456\) | −0.990924 | − | 0.676964i | −0.0464043 | − | 0.0317017i | ||||
\(457\) | −20.4343 | + | 20.4343i | −0.955877 | + | 0.955877i | −0.999067 | − | 0.0431895i | \(-0.986248\pi\) |
0.0431895 | + | 0.999067i | \(0.486248\pi\) | |||||||
\(458\) | −8.39972 | + | 16.8867i | −0.392493 | + | 0.789064i | ||||
\(459\) | −73.4890 | −3.43017 | ||||||||
\(460\) | 1.94572 | + | 3.41594i | 0.0907197 | + | 0.159269i | ||||
\(461\) | 1.23760 | 0.0576406 | 0.0288203 | − | 0.999585i | \(-0.490825\pi\) | ||||
0.0288203 | + | 0.999585i | \(0.490825\pi\) | |||||||
\(462\) | −9.17170 | + | 18.4387i | −0.426706 | + | 0.857845i | ||||
\(463\) | −21.8154 | + | 21.8154i | −1.01385 | + | 1.01385i | −0.0139434 | + | 0.999903i | \(0.504438\pi\) |
−0.999903 | + | 0.0139434i | \(0.995562\pi\) | |||||||
\(464\) | −9.80665 | − | 2.77241i | −0.455262 | − | 0.128706i | ||||
\(465\) | −3.02448 | + | 23.1570i | −0.140257 | + | 1.07388i | ||||
\(466\) | 0.523786 | + | 1.56059i | 0.0242639 | + | 0.0722928i | ||||
\(467\) | 12.6950 | + | 12.6950i | 0.587455 | + | 0.587455i | 0.936941 | − | 0.349487i | \(-0.113644\pi\) |
−0.349487 | + | 0.936941i | \(0.613644\pi\) | |||||||
\(468\) | 13.4475 | + | 1.86432i | 0.621612 | + | 0.0861783i | ||||
\(469\) | − | 28.5251i | − | 1.31717i | ||||||
\(470\) | 1.69886 | − | 2.52935i | 0.0783626 | − | 0.116670i | ||||
\(471\) | 14.4466i | 0.665665i | ||||||||
\(472\) | 1.97923 | + | 10.5145i | 0.0911013 | + | 0.483968i | ||||
\(473\) | −5.94851 | − | 5.94851i | −0.273513 | − | 0.273513i | ||||
\(474\) | −53.1857 | + | 17.8509i | −2.44290 | + | 0.819921i | ||||
\(475\) | −0.174157 | + | 0.655347i | −0.00799089 | + | 0.0300694i | ||||
\(476\) | −26.2337 | − | 34.6784i | −1.20242 | − | 1.58948i | ||||
\(477\) | 54.2409 | − | 54.2409i | 2.48352 | − | 2.48352i | ||||
\(478\) | 10.3426 | + | 5.14460i | 0.473061 | + | 0.235308i | ||||
\(479\) | −36.2989 | −1.65854 | −0.829269 | − | 0.558850i | \(-0.811243\pi\) | ||||
−0.829269 | + | 0.558850i | \(0.811243\pi\) | |||||||
\(480\) | 30.1699 | − | 25.6099i | 1.37706 | − | 1.16892i | ||||
\(481\) | −9.28273 | −0.423256 | ||||||||
\(482\) | 21.9463 | + | 10.9164i | 0.999625 | + | 0.497230i | ||||
\(483\) | −6.81839 | + | 6.81839i | −0.310247 | + | 0.310247i | ||||
\(484\) | 11.1463 | + | 14.7344i | 0.506652 | + | 0.669743i | ||||
\(485\) | −2.47450 | − | 0.323189i | −0.112361 | − | 0.0146752i | ||||
\(486\) | 22.4385 | − | 7.53111i | 1.01783 | − | 0.341618i | ||||
\(487\) | −16.4587 | − | 16.4587i | −0.745816 | − | 0.745816i | 0.227874 | − | 0.973691i | \(-0.426823\pi\) |
−0.973691 | + | 0.227874i | \(0.926823\pi\) | |||||||
\(488\) | 6.20506 | + | 32.9639i | 0.280890 | + | 1.49221i | ||||
\(489\) | − | 70.7788i | − | 3.20073i | ||||||
\(490\) | 16.4254 | − | 3.22621i | 0.742022 | − | 0.145745i | ||||
\(491\) | − | 21.7615i | − | 0.982081i | −0.871137 | − | 0.491040i | \(-0.836617\pi\) | ||
0.871137 | − | 0.491040i | \(-0.163383\pi\) | |||||||
\(492\) | 22.8881 | + | 3.17313i | 1.03187 | + | 0.143056i | ||||
\(493\) | 11.1712 | + | 11.1712i | 0.503124 | + | 0.503124i | ||||
\(494\) | −0.0610269 | − | 0.181826i | −0.00274573 | − | 0.00818072i | ||||
\(495\) | 12.2828 | + | 15.9732i | 0.552069 | + | 0.717943i | ||||
\(496\) | −12.8495 | − | 3.63263i | −0.576957 | − | 0.163110i | ||||
\(497\) | 11.1839 | − | 11.1839i | 0.501665 | − | 0.501665i | ||||
\(498\) | −6.10304 | + | 12.2695i | −0.273484 | + | 0.549809i | ||||
\(499\) | 37.8103 | 1.69262 | 0.846310 | − | 0.532690i | \(-0.178819\pi\) | ||||
0.846310 | + | 0.532690i | \(0.178819\pi\) | |||||||
\(500\) | −19.3225 | − | 11.2534i | −0.864131 | − | 0.503268i | ||||
\(501\) | −47.7633 | −2.13390 | ||||||||
\(502\) | 1.00350 | − | 2.01742i | 0.0447884 | − | 0.0900421i | ||||
\(503\) | −6.85634 | + | 6.85634i | −0.305709 | + | 0.305709i | −0.843242 | − | 0.537533i | \(-0.819356\pi\) |
0.537533 | + | 0.843242i | \(0.319356\pi\) | |||||||
\(504\) | 55.5846 | + | 37.9734i | 2.47593 | + | 1.69147i | ||||
\(505\) | 21.7184 | + | 28.2438i | 0.966456 | + | 1.25683i | ||||
\(506\) | −0.525111 | − | 1.56453i | −0.0233440 | − | 0.0695521i | ||||
\(507\) | 2.21225 | + | 2.21225i | 0.0982493 | + | 0.0982493i | ||||
\(508\) | 5.59894 | − | 40.3857i | 0.248413 | − | 1.79182i | ||||
\(509\) | 2.43094i | 0.107749i | 0.998548 | + | 0.0538747i | \(0.0171572\pi\) | ||||
−0.998548 | + | 0.0538747i | \(0.982843\pi\) | |||||||
\(510\) | −60.1984 | + | 11.8239i | −2.66563 | + | 0.523573i | ||||
\(511\) | 17.3414i | 0.767139i | ||||||||
\(512\) | 11.9845 | + | 19.1930i | 0.529646 | + | 0.848219i | ||||
\(513\) | −1.13650 | − | 1.13650i | −0.0501778 | − | 0.0501778i | ||||
\(514\) | −18.4884 | + | 6.20532i | −0.815487 | + | 0.273705i | ||||
\(515\) | −10.6917 | − | 1.39642i | −0.471132 | − | 0.0615335i | ||||
\(516\) | −31.6228 | + | 23.9222i | −1.39212 | + | 1.05312i | ||||
\(517\) | −0.904448 | + | 0.904448i | −0.0397776 | + | 0.0397776i | ||||
\(518\) | −41.2116 | − | 20.4993i | −1.81073 | − | 0.900689i | ||||
\(519\) | −38.7215 | −1.69969 | ||||||||
\(520\) | 6.31457 | − | 0.355181i | 0.276912 | − | 0.0155757i | ||||
\(521\) | 29.6911 | 1.30079 | 0.650395 | − | 0.759596i | \(-0.274603\pi\) | ||||
0.650395 | + | 0.759596i | \(0.274603\pi\) | |||||||
\(522\) | −21.8984 | − | 10.8926i | −0.958465 | − | 0.476756i | ||||
\(523\) | 0.894603 | − | 0.894603i | 0.0391183 | − | 0.0391183i | −0.687277 | − | 0.726395i | \(-0.741194\pi\) |
0.726395 | + | 0.687277i | \(0.241194\pi\) | |||||||
\(524\) | −33.4998 | + | 25.3421i | −1.46345 | + | 1.10708i | ||||
\(525\) | 14.0866 | − | 53.0074i | 0.614791 | − | 2.31343i | ||||
\(526\) | −6.47178 | + | 2.17215i | −0.282183 | + | 0.0947102i | ||||
\(527\) | 14.6374 | + | 14.6374i | 0.637613 | + | 0.637613i | ||||
\(528\) | −14.4998 | + | 8.10832i | −0.631023 | + | 0.352869i | ||||
\(529\) | 22.2273i | 0.966403i | ||||||||
\(530\) | 19.9247 | − | 29.6649i | 0.865475 | − | 1.28856i | ||||
\(531\) | 25.6773i | 1.11430i | ||||||||
\(532\) | 0.130596 | − | 0.942001i | 0.00566206 | − | 0.0408409i | ||||
\(533\) | 2.61126 | + | 2.61126i | 0.113106 | + | 0.113106i | ||||
\(534\) | 7.83262 | + | 23.3368i | 0.338951 | + | 1.00988i | ||||
\(535\) | 1.54065 | − | 11.7960i | 0.0666079 | − | 0.509985i | ||||
\(536\) | 12.9804 | − | 19.0004i | 0.560669 | − | 0.820694i | ||||
\(537\) | −23.6543 | + | 23.6543i | −1.02076 | + | 1.02076i | ||||
\(538\) | 0.512945 | − | 1.03122i | 0.0221146 | − | 0.0444590i | ||||
\(539\) | −7.02703 | −0.302676 | ||||||||
\(540\) | 46.0537 | − | 26.2322i | 1.98183 | − | 1.12885i | ||||
\(541\) | 11.2665 | 0.484383 | 0.242192 | − | 0.970228i | \(-0.422134\pi\) | ||||
0.242192 | + | 0.970228i | \(0.422134\pi\) | |||||||
\(542\) | −3.38943 | + | 6.81408i | −0.145589 | + | 0.292690i | ||||
\(543\) | −11.6666 | + | 11.6666i | −0.500660 | + | 0.500660i | ||||
\(544\) | −1.69368 | − | 35.0368i | −0.0726158 | − | 1.50219i | ||||
\(545\) | 3.57669 | − | 2.75033i | 0.153209 | − | 0.117811i | ||||
\(546\) | 4.93612 | + | 14.7069i | 0.211247 | + | 0.629396i | ||||
\(547\) | 14.6898 | + | 14.6898i | 0.628091 | + | 0.628091i | 0.947587 | − | 0.319497i | \(-0.103514\pi\) |
−0.319497 | + | 0.947587i | \(0.603514\pi\) | |||||||
\(548\) | 12.5450 | + | 1.73920i | 0.535896 | + | 0.0742950i | ||||
\(549\) | 80.5009i | 3.43569i | ||||||||
\(550\) | 7.04893 | + | 6.19891i | 0.300567 | + | 0.264323i | ||||
\(551\) | 0.345523i | 0.0147198i | ||||||||
\(552\) | −7.64442 | + | 1.43897i | −0.325368 | + | 0.0612467i | ||||
\(553\) | −31.4363 | − | 31.4363i | −1.33681 | − | 1.33681i | ||||
\(554\) | −3.94580 | + | 1.32435i | −0.167641 | + | 0.0562660i | ||||
\(555\) | −51.4793 | + | 39.5856i | −2.18518 | + | 1.68031i | ||||
\(556\) | −22.5308 | − | 29.7835i | −0.955520 | − | 1.26310i | ||||
\(557\) | −22.2763 | + | 22.2763i | −0.943878 | + | 0.943878i | −0.998507 | − | 0.0546285i | \(-0.982603\pi\) |
0.0546285 | + | 0.998507i | \(0.482603\pi\) | |||||||
\(558\) | −28.6930 | − | 14.2723i | −1.21467 | − | 0.604196i | ||||
\(559\) | −6.33703 | −0.268028 | ||||||||
\(560\) | 28.8186 | + | 12.3678i | 1.21781 | + | 0.522635i | ||||
\(561\) | 25.7539 | 1.08733 | ||||||||
\(562\) | −39.6444 | − | 19.7197i | −1.67230 | − | 0.831827i | ||||
\(563\) | −8.60324 | + | 8.60324i | −0.362583 | + | 0.362583i | −0.864763 | − | 0.502180i | \(-0.832532\pi\) |
0.502180 | + | 0.864763i | \(0.332532\pi\) | |||||||
\(564\) | 3.63728 | + | 4.80813i | 0.153157 | + | 0.202459i | ||||
\(565\) | 3.21263 | − | 24.5976i | 0.135156 | − | 1.03483i | ||||
\(566\) | 25.2634 | − | 8.47925i | 1.06190 | − | 0.356409i | ||||
\(567\) | 41.4374 | + | 41.4374i | 1.74021 | + | 1.74021i | ||||
\(568\) | 12.5388 | − | 2.36028i | 0.526115 | − | 0.0990350i | ||||
\(569\) | 11.6798i | 0.489641i | 0.969568 | + | 0.244820i | \(0.0787290\pi\) | ||||
−0.969568 | + | 0.244820i | \(0.921271\pi\) | |||||||
\(570\) | −1.11382 | − | 0.748108i | −0.0466528 | − | 0.0313348i | ||||
\(571\) | − | 28.7228i | − | 1.20201i | −0.799244 | − | 0.601006i | \(-0.794767\pi\) | ||
0.799244 | − | 0.601006i | \(-0.205233\pi\) | |||||||
\(572\) | −2.62986 | − | 0.364596i | −0.109960 | − | 0.0152445i | ||||
\(573\) | 20.0950 | + | 20.0950i | 0.839481 | + | 0.839481i | ||||
\(574\) | 5.82642 | + | 17.3595i | 0.243190 | + | 0.724570i | ||||
\(575\) | 2.20543 | + | 3.80186i | 0.0919729 | + | 0.158549i | ||||
\(576\) | 19.7447 | + | 50.5878i | 0.822698 | + | 2.10783i | ||||
\(577\) | 15.5910 | − | 15.5910i | 0.649061 | − | 0.649061i | −0.303705 | − | 0.952766i | \(-0.598224\pi\) |
0.952766 | + | 0.303705i | \(0.0982236\pi\) | |||||||
\(578\) | −13.5109 | + | 27.1622i | −0.561981 | + | 1.12980i | ||||
\(579\) | 31.6677 | 1.31607 | ||||||||
\(580\) | −10.9883 | − | 3.01309i | −0.456263 | − | 0.125112i | ||||
\(581\) | −10.8594 | −0.450524 | ||||||||
\(582\) | 2.19914 | − | 4.42112i | 0.0911571 | − | 0.183261i | ||||
\(583\) | −10.6076 | + | 10.6076i | −0.439323 | + | 0.439323i | ||||
\(584\) | −7.89126 | + | 11.5510i | −0.326542 | + | 0.477985i | ||||
\(585\) | 15.0507 | + | 1.96574i | 0.622272 | + | 0.0812734i | ||||
\(586\) | 6.34138 | + | 18.8937i | 0.261960 | + | 0.780493i | ||||
\(587\) | −14.7415 | − | 14.7415i | −0.608445 | − | 0.608445i | 0.334095 | − | 0.942540i | \(-0.391569\pi\) |
−0.942540 | + | 0.334095i | \(0.891569\pi\) | |||||||
\(588\) | −4.54839 | + | 32.8080i | −0.187572 | + | 1.35298i | ||||
\(589\) | 0.452731i | 0.0186545i | ||||||||
\(590\) | 2.30548 | + | 11.7377i | 0.0949152 | + | 0.483235i | ||||
\(591\) | 16.1610i | 0.664776i | ||||||||
\(592\) | −18.1226 | − | 32.4080i | −0.744834 | − | 1.33196i | ||||
\(593\) | 19.9137 | + | 19.9137i | 0.817758 | + | 0.817758i | 0.985783 | − | 0.168025i | \(-0.0537389\pi\) |
−0.168025 | + | 0.985783i | \(0.553739\pi\) | |||||||
\(594\) | −21.0930 | + | 7.07954i | −0.865458 | + | 0.290477i | ||||
\(595\) | −29.6350 | − | 38.5391i | −1.21492 | − | 1.57995i | ||||
\(596\) | 3.44923 | − | 2.60930i | 0.141286 | − | 0.106881i | ||||
\(597\) | 14.7386 | − | 14.7386i | 0.603210 | − | 0.603210i | ||||
\(598\) | −1.11306 | − | 0.553656i | −0.0455166 | − | 0.0226407i | ||||
\(599\) | 8.74117 | 0.357155 | 0.178577 | − | 0.983926i | \(-0.442851\pi\) | ||||
0.178577 | + | 0.983926i | \(0.442851\pi\) | |||||||
\(600\) | 33.5042 | − | 28.8978i | 1.36780 | − | 1.17975i | ||||
\(601\) | 18.7621 | 0.765321 | 0.382661 | − | 0.923889i | \(-0.375008\pi\) | ||||
0.382661 | + | 0.923889i | \(0.375008\pi\) | |||||||
\(602\) | −28.1339 | − | 13.9943i | −1.14665 | − | 0.570364i | ||||
\(603\) | 39.0501 | − | 39.0501i | 1.59024 | − | 1.59024i | ||||
\(604\) | 18.3330 | − | 13.8686i | 0.745958 | − | 0.564307i | ||||
\(605\) | 12.5915 | + | 16.3747i | 0.511918 | + | 0.665727i | ||||
\(606\) | −66.8342 | + | 22.4318i | −2.71495 | + | 0.911231i | ||||
\(607\) | 5.46201 | + | 5.46201i | 0.221696 | + | 0.221696i | 0.809212 | − | 0.587516i | \(-0.199894\pi\) |
−0.587516 | + | 0.809212i | \(0.699894\pi\) | |||||||
\(608\) | 0.515649 | − | 0.568035i | 0.0209123 | − | 0.0230368i | ||||
\(609\) | − | 27.9474i | − | 1.13249i | ||||||
\(610\) | 7.22790 | + | 36.7989i | 0.292649 | + | 1.48994i | ||||
\(611\) | 0.963522i | 0.0389799i | ||||||||
\(612\) | 11.5605 | − | 83.3870i | 0.467306 | − | 3.37072i | ||||
\(613\) | −4.77650 | − | 4.77650i | −0.192921 | − | 0.192921i | 0.604036 | − | 0.796957i | \(-0.293558\pi\) |
−0.796957 | + | 0.604036i | \(0.793558\pi\) | |||||||
\(614\) | 2.38767 | + | 7.11392i | 0.0963586 | + | 0.287094i | ||||
\(615\) | 25.6168 | + | 3.34575i | 1.03297 | + | 0.134914i | ||||
\(616\) | −10.8704 | − | 7.42627i | −0.437981 | − | 0.299213i | ||||
\(617\) | −21.1816 | + | 21.1816i | −0.852740 | + | 0.852740i | −0.990470 | − | 0.137730i | \(-0.956019\pi\) |
0.137730 | + | 0.990470i | \(0.456019\pi\) | |||||||
\(618\) | 9.50191 | − | 19.1025i | 0.382223 | − | 0.768417i | ||||
\(619\) | 15.8026 | 0.635159 | 0.317579 | − | 0.948232i | \(-0.397130\pi\) | ||||
0.317579 | + | 0.948232i | \(0.397130\pi\) | |||||||
\(620\) | −14.3977 | − | 3.94799i | −0.578226 | − | 0.158555i | ||||
\(621\) | −10.4179 | −0.418054 | ||||||||
\(622\) | 7.17693 | − | 14.4284i | 0.287769 | − | 0.578527i | ||||
\(623\) | −13.7936 | + | 13.7936i | −0.552630 | + | 0.552630i | ||||
\(624\) | −3.40447 | + | 12.0424i | −0.136288 | + | 0.482081i | ||||
\(625\) | −21.7018 | − | 12.4109i | −0.868073 | − | 0.496437i | ||||
\(626\) | 8.68694 | + | 25.8822i | 0.347200 | + | 1.03446i | ||||
\(627\) | 0.398282 | + | 0.398282i | 0.0159058 | + | 0.0159058i | ||||
\(628\) | −9.14774 | − | 1.26821i | −0.365035 | − | 0.0506072i | ||||
\(629\) | 57.5615i | 2.29513i | ||||||||
\(630\) | 62.4783 | + | 41.9641i | 2.48920 | + | 1.67189i | ||||
\(631\) | 33.2454i | 1.32348i | 0.749734 | + | 0.661739i | \(0.230181\pi\) | ||||
−0.749734 | + | 0.661739i | \(0.769819\pi\) | |||||||
\(632\) | −6.63441 | − | 35.2448i | −0.263903 | − | 1.40196i | ||||
\(633\) | 21.8417 | + | 21.8417i | 0.868130 | + | 0.868130i | ||||
\(634\) | 25.0540 | − | 8.40899i | 0.995023 | − | 0.333964i | ||||
\(635\) | 5.90353 | − | 45.2005i | 0.234274 | − | 1.79373i | ||||
\(636\) | 42.6591 | + | 56.3911i | 1.69154 | + | 2.23605i | ||||
\(637\) | −3.74300 | + | 3.74300i | −0.148303 | + | 0.148303i | ||||
\(638\) | 4.28255 | + | 2.13021i | 0.169548 | + | 0.0843359i | ||||
\(639\) | 30.6209 | 1.21134 | ||||||||
\(640\) | 13.5679 | + | 21.3521i | 0.536319 | + | 0.844016i | ||||
\(641\) | −3.03323 | −0.119805 | −0.0599026 | − | 0.998204i | \(-0.519079\pi\) | ||||
−0.0599026 | + | 0.998204i | \(0.519079\pi\) | |||||||
\(642\) | 21.0756 | + | 10.4833i | 0.831786 | + | 0.413744i | ||||
\(643\) | −26.6548 | + | 26.6548i | −1.05116 | + | 1.05116i | −0.0525441 | + | 0.998619i | \(0.516733\pi\) |
−0.998619 | + | 0.0525441i | \(0.983267\pi\) | |||||||
\(644\) | −3.71891 | − | 4.91603i | −0.146546 | − | 0.193719i | ||||
\(645\) | −35.1434 | + | 27.0239i | −1.38377 | + | 1.06406i | ||||
\(646\) | −1.12749 | + | 0.378423i | −0.0443604 | + | 0.0148889i | ||||
\(647\) | 12.5256 | + | 12.5256i | 0.492433 | + | 0.492433i | 0.909072 | − | 0.416639i | \(-0.136792\pi\) |
−0.416639 | + | 0.909072i | \(0.636792\pi\) | |||||||
\(648\) | 8.74506 | + | 46.4574i | 0.343538 | + | 1.82502i | ||||
\(649\) | − | 5.02159i | − | 0.197115i | ||||||
\(650\) | 7.05656 | − | 0.452767i | 0.276781 | − | 0.0177590i | ||||
\(651\) | − | 36.6189i | − | 1.43521i | ||||||
\(652\) | 44.8178 | + | 6.21340i | 1.75520 | + | 0.243336i | ||||
\(653\) | −30.1826 | − | 30.1826i | −1.18114 | − | 1.18114i | −0.979450 | − | 0.201685i | \(-0.935358\pi\) |
−0.201685 | − | 0.979450i | \(-0.564642\pi\) | |||||||
\(654\) | 2.84068 | + | 8.46362i | 0.111079 | + | 0.330954i | ||||
\(655\) | −37.2293 | + | 28.6279i | −1.45467 | + | 1.11858i | ||||
\(656\) | −4.01851 | + | 14.2144i | −0.156896 | + | 0.554978i | ||||
\(657\) | −23.7399 | + | 23.7399i | −0.926184 | + | 0.926184i | ||||
\(658\) | −2.12777 | + | 4.27765i | −0.0829493 | + | 0.166760i | ||||
\(659\) | 11.6711 | 0.454642 | 0.227321 | − | 0.973820i | \(-0.427003\pi\) | ||||
0.227321 | + | 0.973820i | \(0.427003\pi\) | |||||||
\(660\) | −16.1393 | + | 9.19294i | −0.628220 | + | 0.357835i | ||||
\(661\) | 5.29802 | 0.206069 | 0.103035 | − | 0.994678i | \(-0.467145\pi\) | ||||
0.103035 | + | 0.994678i | \(0.467145\pi\) | |||||||
\(662\) | 9.01489 | − | 18.1234i | 0.350374 | − | 0.704387i | ||||
\(663\) | 13.7180 | − | 13.7180i | 0.532762 | − | 0.532762i | ||||
\(664\) | −7.23339 | − | 4.94160i | −0.280710 | − | 0.191771i | ||||
\(665\) | 0.137701 | − | 1.05431i | 0.00533980 | − | 0.0408843i | ||||
\(666\) | −28.3546 | − | 84.4807i | −1.09872 | − | 3.27356i | ||||
\(667\) | 1.58363 | + | 1.58363i | 0.0613185 | + | 0.0613185i | ||||
\(668\) | 4.19295 | − | 30.2442i | 0.162230 | − | 1.17018i | ||||
\(669\) | − | 14.4295i | − | 0.557878i | ||||||
\(670\) | 14.3446 | − | 21.3569i | 0.554179 | − | 0.825090i | ||||
\(671\) | − | 15.7432i | − | 0.607758i | ||||||
\(672\) | −41.7080 | + | 45.9452i | −1.60892 | + | 1.77237i | ||||
\(673\) | 2.21557 | + | 2.21557i | 0.0854038 | + | 0.0854038i | 0.748518 | − | 0.663114i | \(-0.230766\pi\) |
−0.663114 | + | 0.748518i | \(0.730766\pi\) | |||||||
\(674\) | 30.6258 | − | 10.2791i | 1.17966 | − | 0.395935i | ||||
\(675\) | 51.2567 | − | 29.7336i | 1.97287 | − | 1.14445i | ||||
\(676\) | −1.59502 | + | 1.20661i | −0.0613469 | + | 0.0464081i | ||||
\(677\) | 13.6763 | − | 13.6763i | 0.525623 | − | 0.525623i | −0.393641 | − | 0.919264i | \(-0.628785\pi\) |
0.919264 | + | 0.393641i | \(0.128785\pi\) | |||||||
\(678\) | 43.9477 | + | 21.8603i | 1.68780 | + | 0.839540i | ||||
\(679\) | 3.91302 | 0.150168 | ||||||||
\(680\) | −2.20245 | − | 39.1562i | −0.0844601 | − | 1.50157i | ||||
\(681\) | −28.7610 | −1.10212 | ||||||||
\(682\) | 5.61134 | + | 2.79117i | 0.214869 | + | 0.106879i | ||||
\(683\) | 19.4605 | − | 19.4605i | 0.744634 | − | 0.744634i | −0.228832 | − | 0.973466i | \(-0.573491\pi\) |
0.973466 | + | 0.228832i | \(0.0734905\pi\) | |||||||
\(684\) | 1.46836 | − | 1.11079i | 0.0561441 | − | 0.0424722i | ||||
\(685\) | 14.0406 | + | 1.83382i | 0.536466 | + | 0.0700665i | ||||
\(686\) | 8.02238 | − | 2.69258i | 0.306296 | − | 0.102803i | ||||
\(687\) | −29.5033 | − | 29.5033i | −1.12562 | − | 1.12562i | ||||
\(688\) | −12.3717 | − | 22.1239i | −0.471668 | − | 0.843466i | ||||
\(689\) | 11.3005i | 0.430513i | ||||||||
\(690\) | −8.53377 | + | 1.67617i | −0.324875 | + | 0.0638107i | ||||
\(691\) | − | 44.9970i | − | 1.71177i | −0.517169 | − | 0.855884i | \(-0.673014\pi\) | ||
0.517169 | − | 0.855884i | \(-0.326986\pi\) | |||||||
\(692\) | 3.39921 | − | 24.5188i | 0.129219 | − | 0.932066i | ||||
\(693\) | −22.3411 | − | 22.3411i | −0.848668 | − | 0.848668i | ||||
\(694\) | −13.8082 | − | 41.1407i | −0.524152 | − | 1.56168i | ||||
\(695\) | −25.4520 | − | 33.0993i | −0.965451 | − | 1.25553i | ||||
\(696\) | 12.7175 | − | 18.6156i | 0.482057 | − | 0.705624i | ||||
\(697\) | 16.1922 | − | 16.1922i | 0.613323 | − | 0.613323i | ||||
\(698\) | −10.3483 | + | 20.8041i | −0.391688 | + | 0.787446i | ||||
\(699\) | −3.64167 | −0.137741 | ||||||||
\(700\) | 32.3282 | + | 13.5731i | 1.22189 | + | 0.513015i | ||||
\(701\) | −30.8529 | −1.16530 | −0.582648 | − | 0.812725i | \(-0.697983\pi\) | ||||
−0.582648 | + | 0.812725i | \(0.697983\pi\) | |||||||
\(702\) | −7.46439 | + | 15.0063i | −0.281725 | + | 0.566377i | ||||
\(703\) | −0.890185 | + | 0.890185i | −0.0335739 | + | 0.0335739i | ||||
\(704\) | −3.86138 | − | 9.89321i | −0.145531 | − | 0.372864i | ||||
\(705\) | 4.10887 | + | 5.34342i | 0.154749 | + | 0.201245i | ||||
\(706\) | 6.69502 | + | 19.9474i | 0.251970 | + | 0.750729i | ||||
\(707\) | −39.5035 | − | 39.5035i | −1.48568 | − | 1.48568i | ||||
\(708\) | −23.4449 | − | 3.25033i | −0.881113 | − | 0.122155i | ||||
\(709\) | 29.0128i | 1.08960i | 0.838567 | + | 0.544799i | \(0.183394\pi\) | ||||
−0.838567 | + | 0.544799i | \(0.816606\pi\) | |||||||
\(710\) | 13.9975 | − | 2.74934i | 0.525318 | − | 0.103181i | ||||
\(711\) | − | 86.0710i | − | 3.22792i | ||||||
\(712\) | −15.4647 | + | 2.91105i | −0.579564 | + | 0.109096i | ||||
\(713\) | 2.07500 | + | 2.07500i | 0.0777094 | + | 0.0777094i | ||||
\(714\) | 91.1962 | − | 30.6085i | 3.41293 | − | 1.14550i | ||||
\(715\) | −2.94340 | − | 0.384430i | −0.110077 | − | 0.0143769i | ||||
\(716\) | −12.9016 | − | 17.0547i | −0.482156 | − | 0.637363i | ||||
\(717\) | −18.0699 | + | 18.0699i | −0.674834 | + | 0.674834i | ||||
\(718\) | 7.93900 | + | 3.94899i | 0.296281 | + | 0.147375i | ||||
\(719\) | −11.0483 | −0.412031 | −0.206015 | − | 0.978549i | \(-0.566050\pi\) | ||||
−0.206015 | + | 0.978549i | \(0.566050\pi\) | |||||||
\(720\) | 22.5206 | + | 56.3830i | 0.839295 | + | 2.10127i | ||||
\(721\) | 16.9071 | 0.629655 | ||||||||
\(722\) | 24.0348 | + | 11.9553i | 0.894484 | + | 0.444931i | ||||
\(723\) | −38.3430 | + | 38.3430i | −1.42599 | + | 1.42599i | ||||
\(724\) | −6.36322 | − | 8.41155i | −0.236487 | − | 0.312613i | ||||
\(725\) | −12.3114 | − | 3.27175i | −0.457236 | − | 0.121510i | ||||
\(726\) | −38.7480 | + | 13.0051i | −1.43807 | + | 0.482666i | ||||
\(727\) | 25.4507 | + | 25.4507i | 0.943914 | + | 0.943914i | 0.998509 | − | 0.0545947i | \(-0.0173867\pi\) |
−0.0545947 | + | 0.998509i | \(0.517387\pi\) | |||||||
\(728\) | −9.74585 | + | 1.83454i | −0.361205 | + | 0.0679927i | ||||
\(729\) | 2.21979i | 0.0822146i | ||||||||
\(730\) | −8.72057 | + | 12.9836i | −0.322763 | + | 0.480546i | ||||
\(731\) | 39.2955i | 1.45340i | ||||||||
\(732\) | −73.5020 | − | 10.1901i | −2.71671 | − | 0.376636i | ||||
\(733\) | −28.6191 | − | 28.6191i | −1.05707 | − | 1.05707i | −0.998270 | − | 0.0587996i | \(-0.981273\pi\) |
−0.0587996 | − | 0.998270i | \(-0.518727\pi\) | |||||||
\(734\) | 6.62279 | + | 19.7322i | 0.244452 | + | 0.728328i | ||||
\(735\) | −4.79583 | + | 36.7194i | −0.176897 | + | 1.35441i | ||||
\(736\) | −0.240097 | − | 4.96684i | −0.00885008 | − | 0.183080i | ||||
\(737\) | −7.63684 | + | 7.63684i | −0.281306 | + | 0.281306i | ||||
\(738\) | −15.7884 | + | 31.7409i | −0.581180 | + | 1.16840i | ||||
\(739\) | −15.7301 | −0.578643 | −0.289321 | − | 0.957232i | \(-0.593430\pi\) | ||||
−0.289321 | + | 0.957232i | \(0.593430\pi\) | |||||||
\(740\) | −20.5468 | − | 36.0723i | −0.755315 | − | 1.32604i | ||||
\(741\) | 0.424295 | 0.0155869 | ||||||||
\(742\) | −24.9551 | + | 50.1695i | −0.916132 | + | 1.84178i | ||||
\(743\) | −10.0819 | + | 10.0819i | −0.369868 | + | 0.369868i | −0.867429 | − | 0.497561i | \(-0.834229\pi\) |
0.497561 | + | 0.867429i | \(0.334229\pi\) | |||||||
\(744\) | 16.6635 | − | 24.3917i | 0.610915 | − | 0.894243i | ||||
\(745\) | 3.83323 | − | 2.94760i | 0.140439 | − | 0.107992i | ||||
\(746\) | 3.14903 | + | 9.38232i | 0.115294 | + | 0.343511i | ||||
\(747\) | −14.8662 | − | 14.8662i | −0.543927 | − | 0.543927i | ||||
\(748\) | −2.26083 | + | 16.3076i | −0.0826642 | + | 0.596265i | ||||
\(749\) | 18.6534i | 0.681581i | ||||||||
\(750\) | 37.2028 | − | 32.6031i | 1.35846 | − | 1.19050i | ||||
\(751\) | − | 6.72265i | − | 0.245313i | −0.992449 | − | 0.122656i | \(-0.960859\pi\) | ||
0.992449 | − | 0.122656i | \(-0.0391413\pi\) | |||||||
\(752\) | −3.36386 | + | 1.88108i | −0.122667 | + | 0.0685958i | ||||
\(753\) | 3.52470 | + | 3.52470i | 0.128447 | + | 0.128447i | ||||
\(754\) | 3.41580 | − | 1.14646i | 0.124396 | − | 0.0417516i | ||||
\(755\) | 20.3740 | − | 15.6668i | 0.741485 | − | 0.570172i | ||||
\(756\) | −66.2778 | + | 50.1383i | −2.41050 | + | 1.82351i | ||||
\(757\) | −9.77504 | + | 9.77504i | −0.355280 | + | 0.355280i | −0.862070 | − | 0.506790i | \(-0.830832\pi\) |
0.506790 | + | 0.862070i | \(0.330832\pi\) | |||||||
\(758\) | −29.2437 | − | 14.5463i | −1.06218 | − | 0.528345i | ||||
\(759\) | 3.65088 | 0.132519 | ||||||||
\(760\) | 0.571487 | − | 0.639609i | 0.0207300 | − | 0.0232010i | ||||
\(761\) | 33.6933 | 1.22138 | 0.610690 | − | 0.791870i | \(-0.290892\pi\) | ||||
0.610690 | + | 0.791870i | \(0.290892\pi\) | |||||||
\(762\) | 80.7584 | + | 40.1705i | 2.92557 | + | 1.45522i | ||||
\(763\) | −5.00257 | + | 5.00257i | −0.181105 | + | 0.181105i | ||||
\(764\) | −14.4884 | + | 10.9603i | −0.524172 | + | 0.396529i | ||||
\(765\) | 12.1894 | − | 93.3286i | 0.440709 | − | 3.37430i | ||||
\(766\) | −46.3681 | + | 15.5627i | −1.67535 | + | 0.562303i | ||||
\(767\) | −2.67479 | − | 2.67479i | −0.0965809 | − | 0.0965809i | ||||
\(768\) | −48.6890 | + | 11.6245i | −1.75691 | + | 0.419464i | ||||
\(769\) | 27.1271i | 0.978229i | 0.872220 | + | 0.489114i | \(0.162680\pi\) | ||||
−0.872220 | + | 0.489114i | \(0.837320\pi\) | |||||||
\(770\) | −12.2186 | − | 8.20672i | −0.440327 | − | 0.295750i | ||||
\(771\) | − | 43.1431i | − | 1.55376i | ||||||
\(772\) | −2.77999 | + | 20.0523i | −0.100054 | + | 0.721699i | ||||
\(773\) | 34.3561 | + | 34.3561i | 1.23570 | + | 1.23570i | 0.961741 | + | 0.273961i | \(0.0883340\pi\) |
0.273961 | + | 0.961741i | \(0.411666\pi\) | |||||||
\(774\) | −19.3568 | − | 57.6724i | −0.695766 | − | 2.07299i | ||||
\(775\) | −16.1314 | − | 4.28690i | −0.579458 | − | 0.153990i | ||||
\(776\) | 2.60644 | + | 1.78063i | 0.0935658 | + | 0.0639208i | ||||
\(777\) | 72.0021 | − | 72.0021i | 2.58306 | − | 2.58306i | ||||
\(778\) | −5.03666 | + | 10.1257i | −0.180573 | + | 0.363022i | ||||
\(779\) | 0.500823 | 0.0179438 | ||||||||
\(780\) | −3.70001 | + | 13.4934i | −0.132482 | + | 0.483140i | ||||
\(781\) | −5.98837 | −0.214281 | ||||||||
\(782\) | −3.43318 | + | 6.90203i | −0.122770 | + | 0.246816i | ||||
\(783\) | 21.3505 | − | 21.3505i | 0.763005 | − | 0.763005i | ||||
\(784\) | −20.3750 | − | 5.76017i | −0.727680 | − | 0.205720i | ||||
\(785\) | −10.2383 | − | 1.33721i | −0.365422 | − | 0.0477269i | ||||
\(786\) | −29.5683 | − | 88.0968i | −1.05467 | − | 3.14231i | ||||
\(787\) | 28.1387 | + | 28.1387i | 1.00304 | + | 1.00304i | 0.999995 | + | 0.00303989i | \(0.000967627\pi\) |
0.00303989 | + | 0.999995i | \(0.499032\pi\) | |||||||
\(788\) | −10.2333 | − | 1.41872i | −0.364547 | − | 0.0505396i | ||||
\(789\) | − | 15.1021i | − | 0.537648i | ||||||
\(790\) | −7.72802 | − | 39.3451i | −0.274951 | − | 1.39984i | ||||
\(791\) | 38.8970i | 1.38302i | ||||||||
\(792\) | −4.71493 | − | 25.0477i | −0.167538 | − | 0.890030i | ||||
\(793\) | −8.38570 | − | 8.38570i | −0.297785 | − | 0.297785i | ||||
\(794\) | −41.0808 | + | 13.7881i | −1.45790 | + | 0.489322i | ||||
\(795\) | 48.1900 | + | 62.6691i | 1.70912 | + | 2.22264i | ||||
\(796\) | 8.03877 | + | 10.6265i | 0.284926 | + | 0.376645i | ||||
\(797\) | 12.2629 | − | 12.2629i | 0.434374 | − | 0.434374i | −0.455740 | − | 0.890113i | \(-0.650625\pi\) |
0.890113 | + | 0.455740i | \(0.150625\pi\) | |||||||
\(798\) | 1.88370 | + | 0.936984i | 0.0666823 | + | 0.0331689i | ||||
\(799\) | 5.97473 | 0.211371 | ||||||||
\(800\) | 15.3572 | + | 23.7520i | 0.542958 | + | 0.839760i | ||||
\(801\) | −37.7662 | −1.33440 | ||||||||
\(802\) | 19.7733 | + | 9.83557i | 0.698220 | + | 0.347306i | ||||
\(803\) | 4.64270 | − | 4.64270i | 0.163837 | − | 0.163837i | ||||
\(804\) | 30.7119 | + | 40.5981i | 1.08313 | + | 1.43178i | ||||
\(805\) | −4.20108 | − | 5.46333i | −0.148069 | − | 0.192557i | ||||
\(806\) | 4.47566 | − | 1.50218i | 0.157648 | − | 0.0529121i | ||||
\(807\) | 1.80168 | + | 1.80168i | 0.0634220 | + | 0.0634220i | ||||
\(808\) | −8.33693 | − | 44.2893i | −0.293292 | − | 1.55809i | ||||
\(809\) | − | 32.8464i | − | 1.15482i | −0.816455 | − | 0.577409i | \(-0.804064\pi\) | ||
0.816455 | − | 0.577409i | \(-0.195936\pi\) | |||||||
\(810\) | 10.1866 | + | 51.8622i | 0.357920 | + | 1.82225i | ||||
\(811\) | − | 28.8899i | − | 1.01446i | −0.861810 | − | 0.507231i | \(-0.830669\pi\) | ||
0.861810 | − | 0.507231i | \(-0.169331\pi\) | |||||||
\(812\) | 17.6966 | + | 2.45340i | 0.621028 | + | 0.0860974i | ||||
\(813\) | −11.9051 | − | 11.9051i | −0.417530 | − | 0.417530i | ||||
\(814\) | 5.54516 | + | 16.5215i | 0.194358 | + | 0.579077i | ||||
\(815\) | 50.1611 | + | 6.55142i | 1.75707 | + | 0.229486i | ||||
\(816\) | 74.6738 | + | 21.1108i | 2.61411 | + | 0.739027i | ||||
\(817\) | −0.607702 | + | 0.607702i | −0.0212608 | + | 0.0212608i | ||||
\(818\) | 5.31825 | − | 10.6917i | 0.185948 | − | 0.373828i | ||||
\(819\) | −23.8003 | −0.831649 | ||||||||
\(820\) | −4.36736 | + | 15.9271i | −0.152515 | + | 0.556198i | ||||
\(821\) | 9.04893 | 0.315810 | 0.157905 | − | 0.987454i | \(-0.449526\pi\) | ||||
0.157905 | + | 0.987454i | \(0.449526\pi\) | |||||||
\(822\) | −12.4782 | + | 25.0860i | −0.435227 | + | 0.874975i | ||||
\(823\) | −27.0521 | + | 27.0521i | −0.942977 | + | 0.942977i | −0.998460 | − | 0.0554828i | \(-0.982330\pi\) |
0.0554828 | + | 0.998460i | \(0.482330\pi\) | |||||||
\(824\) | 11.2618 | + | 7.69364i | 0.392322 | + | 0.268021i | ||||
\(825\) | −17.9626 | + | 10.4200i | −0.625379 | + | 0.362778i | ||||
\(826\) | −5.96818 | − | 17.7818i | −0.207659 | − | 0.618708i | ||||
\(827\) | 30.4206 | + | 30.4206i | 1.05783 | + | 1.05783i | 0.998222 | + | 0.0596059i | \(0.0189844\pi\) |
0.0596059 | + | 0.998222i | \(0.481016\pi\) | |||||||
\(828\) | 1.63883 | − | 11.8210i | 0.0569531 | − | 0.410808i | ||||
\(829\) | − | 1.73995i | − | 0.0604310i | −0.999543 | − | 0.0302155i | \(-0.990381\pi\) | ||
0.999543 | − | 0.0302155i | \(-0.00961936\pi\) | |||||||
\(830\) | −8.13050 | − | 5.46092i | −0.282214 | − | 0.189551i | ||||
\(831\) | − | 9.20763i | − | 0.319409i | ||||||
\(832\) | −7.32648 | − | 3.21289i | −0.254000 | − | 0.111387i | ||||
\(833\) | 23.2101 | + | 23.2101i | 0.804181 | + | 0.804181i | ||||
\(834\) | 78.3238 | − | 26.2881i | 2.71213 | − | 0.910284i | ||||
\(835\) | 4.42106 | − | 33.8499i | 0.152997 | − | 1.17142i | ||||
\(836\) | −0.287159 | + | 0.217232i | −0.00993162 | + | 0.00751313i | ||||
\(837\) | 27.9751 | − | 27.9751i | 0.966962 | − | 0.966962i | ||||
\(838\) | −23.9552 | − | 11.9157i | −0.827517 | − | 0.411620i | ||||
\(839\) | −33.0857 | −1.14225 | −0.571123 | − | 0.820865i | \(-0.693492\pi\) | ||||
−0.571123 | + | 0.820865i | \(0.693492\pi\) | |||||||
\(840\) | −46.2244 | + | 51.7344i | −1.59489 | + | 1.78501i | ||||
\(841\) | 22.5090 | 0.776171 | ||||||||
\(842\) | −23.8835 | − | 11.8800i | −0.823078 | − | 0.409412i | ||||
\(843\) | 69.2639 | − | 69.2639i | 2.38557 | − | 2.38557i | ||||
\(844\) | −15.7478 | + | 11.9130i | −0.542061 | + | 0.410062i | ||||
\(845\) | −1.77259 | + | 1.36305i | −0.0609790 | + | 0.0468905i | ||||
\(846\) | −8.76886 | + | 2.94313i | −0.301480 | + | 0.101187i | ||||
\(847\) | −22.9027 | − | 22.9027i | −0.786945 | − | 0.786945i | ||||
\(848\) | −39.4523 | + | 22.0618i | −1.35480 | + | 0.757605i | ||||
\(849\) | 58.9528i | 2.02325i | ||||||||
\(850\) | −2.80758 | − | 43.7572i | −0.0962991 | − | 1.50086i | ||||
\(851\) | 8.15995i | 0.279720i | ||||||||
\(852\) | −3.87609 | + | 27.9586i | −0.132793 | + | 0.957847i | ||||
\(853\) | 13.2153 | + | 13.2153i | 0.452484 | + | 0.452484i | 0.896178 | − | 0.443694i | \(-0.146332\pi\) |
−0.443694 | + | 0.896178i | \(0.646332\pi\) | |||||||
\(854\) | −18.7108 | − | 55.7476i | −0.640270 | − | 1.90764i | ||||
\(855\) | 1.63183 | − | 1.25481i | 0.0558074 | − | 0.0429137i | ||||
\(856\) | −8.48828 | + | 12.4250i | −0.290124 | + | 0.424676i | ||||
\(857\) | 31.0065 | − | 31.0065i | 1.05916 | − | 1.05916i | 0.0610253 | − | 0.998136i | \(-0.480563\pi\) |
0.998136 | − | 0.0610253i | \(-0.0194370\pi\) | |||||||
\(858\) | 2.61586 | − | 5.25889i | 0.0893039 | − | 0.179535i | ||||
\(859\) | −27.2205 | −0.928753 | −0.464376 | − | 0.885638i | \(-0.653722\pi\) | ||||
−0.464376 | + | 0.885638i | \(0.653722\pi\) | |||||||
\(860\) | −14.0267 | − | 24.6254i | −0.478305 | − | 0.839721i | ||||
\(861\) | −40.5087 | −1.38053 | ||||||||
\(862\) | −1.33997 | + | 2.69385i | −0.0456395 | + | 0.0917530i | ||||
\(863\) | 31.8657 | − | 31.8657i | 1.08472 | − | 1.08472i | 0.0886600 | − | 0.996062i | \(-0.471742\pi\) |
0.996062 | − | 0.0886600i | \(-0.0282585\pi\) | |||||||
\(864\) | −66.9629 | + | 3.23698i | −2.27812 | + | 0.110124i | ||||
\(865\) | 3.58414 | − | 27.4420i | 0.121864 | − | 0.933056i | ||||
\(866\) | 2.43895 | + | 7.26670i | 0.0828790 | + | 0.246933i | ||||
\(867\) | −47.4559 | − | 47.4559i | −1.61169 | − | 1.61169i | ||||
\(868\) | 23.1875 | + | 3.21463i | 0.787034 | + | 0.109112i | ||||
\(869\) | 16.8325i | 0.571003i | ||||||||
\(870\) | 14.0541 | − | 20.9244i | 0.476478 | − | 0.709404i | ||||
\(871\) | 8.13563i | 0.275665i | ||||||||
\(872\) | −5.60862 | + | 1.05576i | −0.189932 | + | 0.0357524i | ||||
\(873\) | 5.35682 | + | 5.35682i | 0.181301 | + | 0.181301i | ||||
\(874\) | −0.159833 | + | 0.0536455i | −0.00540644 | + | 0.00181459i | ||||
\(875\) | 36.2625 | + | 14.8897i | 1.22590 | + | 0.503363i | ||||
\(876\) | −18.6709 | − | 24.6810i | −0.630830 | − | 0.833895i | ||||
\(877\) | 15.3986 | − | 15.3986i | 0.519973 | − | 0.519973i | −0.397590 | − | 0.917563i | \(-0.630153\pi\) |
0.917563 | + | 0.397590i | \(0.130153\pi\) | |||||||
\(878\) | −18.3577 | − | 9.13142i | −0.619543 | − | 0.308171i | ||||
\(879\) | −44.0890 | −1.48709 | ||||||||
\(880\) | −4.40425 | − | 11.0266i | −0.148467 | − | 0.371705i | ||||
\(881\) | 0.796243 | 0.0268261 | 0.0134131 | − | 0.999910i | \(-0.495730\pi\) | ||||
0.0134131 | + | 0.999910i | \(0.495730\pi\) | |||||||
\(882\) | −45.4976 | − | 22.6313i | −1.53199 | − | 0.762034i | ||||
\(883\) | 20.5022 | − | 20.5022i | 0.689954 | − | 0.689954i | −0.272268 | − | 0.962222i | \(-0.587774\pi\) |
0.962222 | + | 0.272268i | \(0.0877736\pi\) | |||||||
\(884\) | 7.48211 | + | 9.89060i | 0.251650 | + | 0.332657i | ||||
\(885\) | −26.2400 | − | 3.42715i | −0.882049 | − | 0.115202i | ||||
\(886\) | −5.34069 | + | 1.79252i | −0.179424 | + | 0.0602208i | ||||
\(887\) | 36.8351 | + | 36.8351i | 1.23680 | + | 1.23680i | 0.961301 | + | 0.275501i | \(0.0888436\pi\) |
0.275501 | + | 0.961301i | \(0.411156\pi\) | |||||||
\(888\) | 80.7250 | − | 15.1955i | 2.70895 | − | 0.509928i | ||||
\(889\) | 71.4771i | 2.39727i | ||||||||
\(890\) | −17.2638 | + | 3.39090i | −0.578685 | + | 0.113663i | ||||
\(891\) | − | 22.1875i | − | 0.743309i | ||||||
\(892\) | 9.13692 | + | 1.26671i | 0.305927 | + | 0.0424127i | ||||
\(893\) | 0.0923987 | + | 0.0923987i | 0.00309201 | + | 0.00309201i | ||||
\(894\) | 3.04443 | + | 9.07069i | 0.101821 | + | 0.303369i | ||||
\(895\) | −14.5744 | − | 18.9534i | −0.487168 | − | 0.633541i | ||||
\(896\) | −25.4315 | − | 30.4433i | −0.849608 | − | 1.01704i | ||||
\(897\) | 1.94467 | − | 1.94467i | 0.0649306 | − | 0.0649306i | ||||
\(898\) | −15.1260 | + | 30.4091i | −0.504760 | + | 1.01476i | ||||
\(899\) | −8.50508 | −0.283660 | ||||||||
\(900\) | 25.6752 | + | 62.8376i | 0.855840 | + | 2.09459i | ||||
\(901\) | 70.0733 | 2.33448 | ||||||||
\(902\) | 3.08766 | − | 6.20740i | 0.102808 | − | 0.206684i | ||||
\(903\) | 49.1536 | − | 49.1536i | 1.63573 | − | 1.63573i | ||||
\(904\) | −17.7002 | + | 25.9091i | −0.588699 | + | 0.861724i | ||||
\(905\) | −7.18824 | − | 9.34800i | −0.238945 | − | 0.310738i | ||||
\(906\) | 16.1814 | + | 48.2115i | 0.537592 | + | 1.60172i | ||||
\(907\) | −9.02253 | − | 9.02253i | −0.299588 | − | 0.299588i | 0.541264 | − | 0.840853i | \(-0.317946\pi\) |
−0.840853 | + | 0.541264i | \(0.817946\pi\) | |||||||
\(908\) | 2.52481 | − | 18.2117i | 0.0837889 | − | 0.604377i | ||||
\(909\) | − | 108.159i | − | 3.58739i | ||||||
\(910\) | −10.8797 | + | 2.13695i | −0.360658 | + | 0.0708391i | ||||
\(911\) | 18.0079i | 0.596630i | 0.954468 | + | 0.298315i | \(0.0964245\pi\) | ||||
−0.954468 | + | 0.298315i | \(0.903575\pi\) | |||||||
\(912\) | 0.828348 | + | 1.48130i | 0.0274293 | + | 0.0490509i | ||||
\(913\) | 2.90731 | + | 2.90731i | 0.0962181 | + | 0.0962181i | ||||
\(914\) | 38.7446 | − | 13.0040i | 1.28156 | − | 0.430134i | ||||
\(915\) | −82.2650 | − | 10.7444i | −2.71960 | − | 0.355200i | ||||
\(916\) | 21.2717 | − | 16.0918i | 0.702838 | − | 0.531687i | ||||
\(917\) | 52.0711 | − | 52.0711i | 1.71954 | − | 1.71954i | ||||
\(918\) | 93.0531 | + | 46.2861i | 3.07121 | + | 1.52767i | ||||
\(919\) | −7.61393 | −0.251161 | −0.125580 | − | 0.992083i | \(-0.540079\pi\) | ||||
−0.125580 | + | 0.992083i | \(0.540079\pi\) | |||||||
\(920\) | −0.312221 | − | 5.55081i | −0.0102936 | − | 0.183005i | ||||
\(921\) | −16.6005 | −0.547006 | ||||||||
\(922\) | −1.56707 | − | 0.779484i | −0.0516086 | − | 0.0256709i | ||||
\(923\) | −3.18975 | + | 3.18975i | −0.104992 | + | 0.104992i | ||||
\(924\) | 23.2267 | − | 17.5707i | 0.764103 | − | 0.578034i | ||||
\(925\) | −23.2893 | − | 40.1476i | −0.765749 | − | 1.32005i | ||||
\(926\) | 41.3631 | − | 13.8829i | 1.35928 | − | 0.456219i | ||||
\(927\) | 23.1454 | + | 23.1454i | 0.760196 | + | 0.760196i | ||||
\(928\) | 10.6712 | + | 9.68707i | 0.350299 | + | 0.317994i | ||||
\(929\) | − | 6.69484i | − | 0.219651i | −0.993951 | − | 0.109825i | \(-0.964971\pi\) | ||
0.993951 | − | 0.109825i | \(-0.0350291\pi\) | |||||||
\(930\) | 18.4148 | − | 27.4168i | 0.603844 | − | 0.899033i | ||||
\(931\) | 0.717884i | 0.0235277i | ||||||||
\(932\) | 0.319688 | − | 2.30594i | 0.0104717 | − | 0.0755336i | ||||
\(933\) | 25.2083 | + | 25.2083i | 0.825284 | + | 0.825284i | ||||
\(934\) | −8.07885 | − | 24.0704i | −0.264348 | − | 0.787608i | ||||
\(935\) | −2.38382 | + | 18.2518i | −0.0779594 | + | 0.596898i | ||||
\(936\) | −15.8533 | − | 10.8304i | −0.518180 | − | 0.354002i | ||||
\(937\) | −32.9016 | + | 32.9016i | −1.07485 | + | 1.07485i | −0.0778860 | + | 0.996962i | \(0.524817\pi\) |
−0.996962 | + | 0.0778860i | \(0.975183\pi\) | |||||||
\(938\) | −17.9662 | + | 36.1190i | −0.586616 | + | 1.17933i | ||||
\(939\) | −60.3968 | −1.97097 | ||||||||
\(940\) | −3.74420 | + | 2.13270i | −0.122122 | + | 0.0695610i | ||||
\(941\) | 5.94954 | 0.193949 | 0.0969747 | − | 0.995287i | \(-0.469083\pi\) | ||||
0.0969747 | + | 0.995287i | \(0.469083\pi\) | |||||||
\(942\) | 9.09902 | − | 18.2926i | 0.296462 | − | 0.596004i | ||||
\(943\) | 2.29542 | − | 2.29542i | 0.0747491 | − | 0.0747491i | ||||
\(944\) | 4.11628 | − | 14.5602i | 0.133973 | − | 0.473894i | ||||
\(945\) | −73.6565 | + | 56.6389i | −2.39605 | + | 1.84246i | ||||
\(946\) | 3.78551 | + | 11.2787i | 0.123078 | + | 0.366702i | ||||
\(947\) | 27.8488 | + | 27.8488i | 0.904965 | + | 0.904965i | 0.995860 | − | 0.0908958i | \(-0.0289730\pi\) |
−0.0908958 | + | 0.995860i | \(0.528973\pi\) | |||||||
\(948\) | 78.5878 | + | 10.8952i | 2.55241 | + | 0.353859i | ||||
\(949\) | − | 4.94594i | − | 0.160552i | ||||||
\(950\) | 0.633283 | − | 0.720121i | 0.0205464 | − | 0.0233638i | ||||
\(951\) | 58.4643i | 1.89583i | ||||||||
\(952\) | 11.3759 | + | 60.4333i | 0.368694 | + | 1.95865i | ||||
\(953\) | −18.2867 | − | 18.2867i | −0.592366 | − | 0.592366i | 0.345904 | − | 0.938270i | \(-0.387572\pi\) |
−0.938270 | + | 0.345904i | \(0.887572\pi\) | |||||||
\(954\) | −102.844 | + | 34.5178i | −3.32969 | + | 1.11756i | ||||
\(955\) | −16.1014 | + | 12.3813i | −0.521029 | + | 0.400651i | ||||
\(956\) | −9.85577 | − | 13.0284i | −0.318758 | − | 0.421367i | ||||
\(957\) | −7.48218 | + | 7.48218i | −0.241864 | + | 0.241864i | ||||
\(958\) | 45.9622 | + | 22.8624i | 1.48497 | + | 0.738649i | ||||
\(959\) | −22.2030 | −0.716971 | ||||||||
\(960\) | −54.3317 | + | 13.4255i | −1.75355 | + | 0.433306i | ||||
\(961\) | 19.8560 | 0.640515 | ||||||||
\(962\) | 11.7539 | + | 5.84660i | 0.378962 | + | 0.188502i | ||||
\(963\) | −25.5360 | + | 25.5360i | −0.822887 | + | 0.822887i | ||||
\(964\) | −20.9132 | − | 27.6451i | −0.673568 | − | 0.890390i | ||||
\(965\) | −2.93122 | + | 22.4430i | −0.0943594 | + | 0.722465i | ||||
\(966\) | 12.9280 | − | 4.33909i | 0.415953 | − | 0.139608i | ||||
\(967\) | 17.0576 | + | 17.0576i | 0.548536 | + | 0.548536i | 0.926017 | − | 0.377481i | \(-0.123210\pi\) |
−0.377481 | + | 0.926017i | \(0.623210\pi\) | |||||||
\(968\) | −4.83344 | − | 25.6773i | −0.155353 | − | 0.825298i | ||||
\(969\) | − | 2.63102i | − | 0.0845206i | ||||||
\(970\) | 2.92970 | + | 1.96776i | 0.0940670 | + | 0.0631809i | ||||
\(971\) | 32.8212i | 1.05328i | 0.850087 | + | 0.526642i | \(0.176549\pi\) | ||||
−0.850087 | + | 0.526642i | \(0.823451\pi\) | |||||||
\(972\) | −33.1553 | − | 4.59655i | −1.06346 | − | 0.147434i | ||||
\(973\) | 46.2946 | + | 46.2946i | 1.48414 | + | 1.48414i | ||||
\(974\) | 10.4740 | + | 31.2066i | 0.335609 | + | 0.999925i | ||||
\(975\) | −4.01764 | + | 15.1182i | −0.128667 | + | 0.484170i | ||||
\(976\) | 12.9049 | − | 45.6476i | 0.413076 | − | 1.46114i | ||||
\(977\) | 3.34176 | − | 3.34176i | 0.106912 | − | 0.106912i | −0.651627 | − | 0.758540i | \(-0.725913\pi\) |
0.758540 | + | 0.651627i | \(0.225913\pi\) | |||||||
\(978\) | −44.5791 | + | 89.6213i | −1.42548 | + | 2.86577i | ||||
\(979\) | 7.38575 | 0.236050 | ||||||||
\(980\) | −22.8301 | − | 6.26022i | −0.729279 | − | 0.199975i | ||||
\(981\) | −13.6968 | −0.437304 | ||||||||
\(982\) | −13.7062 | + | 27.5547i | −0.437381 | + | 0.879307i | ||||
\(983\) | 3.71599 | − | 3.71599i | 0.118522 | − | 0.118522i | −0.645358 | − | 0.763880i | \(-0.723292\pi\) |
0.763880 | + | 0.645358i | \(0.223292\pi\) | |||||||
\(984\) | −26.9827 | − | 18.4336i | −0.860177 | − | 0.587642i | ||||
\(985\) | −11.4534 | − | 1.49590i | −0.364934 | − | 0.0476632i | ||||
\(986\) | −7.10911 | − | 21.1811i | −0.226400 | − | 0.674545i | ||||
\(987\) | −7.47362 | − | 7.47362i | −0.237888 | − | 0.237888i | ||||
\(988\) | −0.0372472 | + | 0.268668i | −0.00118499 | + | 0.00854746i | ||||
\(989\) | 5.57055i | 0.177133i | ||||||||
\(990\) | −5.49213 | − | 27.9617i | −0.174551 | − | 0.888681i | ||||
\(991\) | − | 45.7345i | − | 1.45280i | −0.687270 | − | 0.726402i | \(-0.741191\pi\) | ||
0.687270 | − | 0.726402i | \(-0.258809\pi\) | |||||||
\(992\) | 13.9822 | + | 12.6928i | 0.443936 | + | 0.402996i | ||||
\(993\) | 31.6640 | + | 31.6640i | 1.00483 | + | 1.00483i | ||||
\(994\) | −21.2052 | + | 7.11720i | −0.672589 | + | 0.225744i | ||||
\(995\) | 9.08103 | + | 11.8095i | 0.287888 | + | 0.374386i | ||||
\(996\) | 15.4555 | − | 11.6919i | 0.489728 | − | 0.370472i | ||||
\(997\) | −30.9386 | + | 30.9386i | −0.979836 | + | 0.979836i | −0.999801 | − | 0.0199650i | \(-0.993645\pi\) |
0.0199650 | + | 0.999801i | \(0.493645\pi\) | |||||||
\(998\) | −47.8760 | − | 23.8143i | −1.51549 | − | 0.753829i | ||||
\(999\) | 110.012 | 3.48064 |
(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 | 260.2.o.a.183.6 | yes | 72 | |
4.3 | odd | 2 | inner | 260.2.o.a.183.23 | yes | 72 | |
5.2 | odd | 4 | inner | 260.2.o.a.27.23 | yes | 72 | |
20.7 | even | 4 | inner | 260.2.o.a.27.6 | ✓ | 72 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
260.2.o.a.27.6 | ✓ | 72 | 20.7 | even | 4 | inner | |
260.2.o.a.27.23 | yes | 72 | 5.2 | odd | 4 | inner | |
260.2.o.a.183.6 | yes | 72 | 1.1 | even | 1 | trivial | |
260.2.o.a.183.23 | yes | 72 | 4.3 | odd | 2 | inner |