Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [175,2,Mod(13,175)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(175, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([19, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("175.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 175 = 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 175.s (of order \(20\), degree \(8\), 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: | \(1.39738203537\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 62.2 | ||
Character | \(\chi\) | \(=\) | 175.62 |
Dual form | 175.2.s.a.48.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/175\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{9}{20}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.429012 | − | 2.70867i | −0.303357 | − | 1.91532i | −0.393371 | − | 0.919380i | \(-0.628691\pi\) |
0.0900139 | − | 0.995941i | \(-0.471309\pi\) | |||||||
\(3\) | 0.821561 | − | 1.61240i | 0.474328 | − | 0.930922i | −0.522598 | − | 0.852579i | \(-0.675037\pi\) |
0.996926 | − | 0.0783426i | \(-0.0249628\pi\) | |||||||
\(4\) | −5.25074 | + | 1.70607i | −2.62537 | + | 0.853034i | ||||
\(5\) | −1.80019 | − | 1.32639i | −0.805069 | − | 0.593182i | ||||
\(6\) | −4.71993 | − | 1.53360i | −1.92690 | − | 0.626089i | ||||
\(7\) | 2.44302 | − | 1.01569i | 0.923376 | − | 0.383896i | ||||
\(8\) | 4.38373 | + | 8.60355i | 1.54988 | + | 3.04182i | ||||
\(9\) | −0.161528 | − | 0.222324i | −0.0538427 | − | 0.0741081i | ||||
\(10\) | −2.82047 | + | 5.44516i | −0.891910 | + | 1.72191i | ||||
\(11\) | −1.02946 | − | 0.747947i | −0.310394 | − | 0.225514i | 0.421672 | − | 0.906749i | \(-0.361444\pi\) |
−0.732066 | + | 0.681234i | \(0.761444\pi\) | |||||||
\(12\) | −1.56293 | + | 9.86795i | −0.451179 | + | 2.84863i | ||||
\(13\) | 2.36366 | + | 0.374367i | 0.655562 | + | 0.103831i | 0.475350 | − | 0.879797i | \(-0.342322\pi\) |
0.180212 | + | 0.983628i | \(0.442322\pi\) | |||||||
\(14\) | −3.79927 | − | 6.18161i | −1.01540 | − | 1.65210i | ||||
\(15\) | −3.61765 | + | 1.81292i | −0.934073 | + | 0.468093i | ||||
\(16\) | 12.4904 | − | 9.07484i | 3.12261 | − | 2.26871i | ||||
\(17\) | −2.60803 | − | 5.11855i | −0.632540 | − | 1.24143i | −0.955493 | − | 0.295015i | \(-0.904675\pi\) |
0.322952 | − | 0.946415i | \(-0.395325\pi\) | |||||||
\(18\) | −0.532906 | + | 0.532906i | −0.125607 | + | 0.125607i | ||||
\(19\) | −0.610996 | + | 1.88045i | −0.140172 | + | 0.431405i | −0.996359 | − | 0.0852616i | \(-0.972827\pi\) |
0.856187 | + | 0.516667i | \(0.172827\pi\) | |||||||
\(20\) | 11.7152 | + | 3.89331i | 2.61961 | + | 0.870570i | ||||
\(21\) | 0.369384 | − | 4.77360i | 0.0806061 | − | 1.04168i | ||||
\(22\) | −1.58429 | + | 3.10935i | −0.337772 | + | 0.662915i | ||||
\(23\) | −3.96999 | + | 0.628785i | −0.827801 | + | 0.131111i | −0.555937 | − | 0.831225i | \(-0.687640\pi\) |
−0.271864 | + | 0.962336i | \(0.587640\pi\) | |||||||
\(24\) | 17.4739 | 3.56685 | ||||||||
\(25\) | 1.48135 | + | 4.77552i | 0.296271 | + | 0.955104i | ||||
\(26\) | − | 6.56300i | − | 1.28711i | ||||||
\(27\) | 4.87091 | − | 0.771476i | 0.937407 | − | 0.148471i | ||||
\(28\) | −11.0948 | + | 9.50111i | −2.09673 | + | 1.79554i | ||||
\(29\) | 5.09063 | − | 1.65404i | 0.945305 | − | 0.307148i | 0.204499 | − | 0.978867i | \(-0.434444\pi\) |
0.740807 | + | 0.671718i | \(0.234444\pi\) | |||||||
\(30\) | 6.46261 | + | 9.02126i | 1.17991 | + | 1.64705i | ||||
\(31\) | −4.42036 | − | 1.43626i | −0.793920 | − | 0.257960i | −0.116148 | − | 0.993232i | \(-0.537055\pi\) |
−0.677773 | + | 0.735272i | \(0.737055\pi\) | |||||||
\(32\) | −16.2837 | − | 16.2837i | −2.87857 | − | 2.87857i | ||||
\(33\) | −2.05176 | + | 1.04542i | −0.357165 | + | 0.181985i | ||||
\(34\) | −12.7456 | + | 9.26022i | −2.18585 | + | 1.58811i | ||||
\(35\) | −5.74511 | − | 1.41197i | −0.971101 | − | 0.238667i | ||||
\(36\) | 1.22744 | + | 0.891789i | 0.204574 | + | 0.148631i | ||||
\(37\) | 2.58406 | + | 0.409274i | 0.424816 | + | 0.0672843i | 0.365182 | − | 0.930936i | \(-0.381007\pi\) |
0.0596340 | + | 0.998220i | \(0.481007\pi\) | |||||||
\(38\) | 5.35565 | + | 0.848252i | 0.868801 | + | 0.137605i | ||||
\(39\) | 2.54552 | − | 3.50361i | 0.407610 | − | 0.561027i | ||||
\(40\) | 3.52017 | − | 21.3026i | 0.556588 | − | 3.36823i | ||||
\(41\) | −0.333304 | − | 0.458753i | −0.0520533 | − | 0.0716452i | 0.782197 | − | 0.623031i | \(-0.214099\pi\) |
−0.834250 | + | 0.551386i | \(0.814099\pi\) | |||||||
\(42\) | −13.0886 | + | 1.04739i | −2.01961 | + | 0.161616i | ||||
\(43\) | 0.902804 | − | 0.902804i | 0.137676 | − | 0.137676i | −0.634910 | − | 0.772586i | \(-0.718963\pi\) |
0.772586 | + | 0.634910i | \(0.218963\pi\) | |||||||
\(44\) | 6.68148 | + | 2.17094i | 1.00727 | + | 0.327282i | ||||
\(45\) | −0.00410891 | + | 0.614475i | −0.000612520 | + | 0.0916006i | ||||
\(46\) | 3.40635 | + | 10.4837i | 0.502238 | + | 1.54573i | ||||
\(47\) | 3.41059 | + | 1.73778i | 0.497486 | + | 0.253482i | 0.684683 | − | 0.728841i | \(-0.259940\pi\) |
−0.187198 | + | 0.982322i | \(0.559940\pi\) | |||||||
\(48\) | −4.37064 | − | 27.5952i | −0.630848 | − | 3.98302i | ||||
\(49\) | 4.93673 | − | 4.96273i | 0.705247 | − | 0.708961i | ||||
\(50\) | 12.2998 | − | 6.06125i | 1.73945 | − | 0.857191i | ||||
\(51\) | −10.3958 | −1.45571 | ||||||||
\(52\) | −13.0497 | + | 2.06687i | −1.80966 | + | 0.286623i | ||||
\(53\) | 3.28669 | + | 1.67465i | 0.451462 | + | 0.230031i | 0.664911 | − | 0.746923i | \(-0.268470\pi\) |
−0.213449 | + | 0.976954i | \(0.568470\pi\) | |||||||
\(54\) | −4.17935 | − | 12.8627i | −0.568738 | − | 1.75039i | ||||
\(55\) | 0.861150 | + | 2.71192i | 0.116117 | + | 0.365675i | ||||
\(56\) | 19.4481 | + | 16.5662i | 2.59887 | + | 2.21375i | ||||
\(57\) | 2.53008 | + | 2.53008i | 0.335117 | + | 0.335117i | ||||
\(58\) | −6.66420 | − | 13.0792i | −0.875053 | − | 1.71739i | ||||
\(59\) | 5.16611 | − | 3.75340i | 0.672570 | − | 0.488651i | −0.198314 | − | 0.980138i | \(-0.563547\pi\) |
0.870885 | + | 0.491488i | \(0.163547\pi\) | |||||||
\(60\) | 15.9024 | − | 15.6911i | 2.05299 | − | 2.02571i | ||||
\(61\) | −4.54500 | + | 6.25566i | −0.581928 | + | 0.800955i | −0.993905 | − | 0.110239i | \(-0.964838\pi\) |
0.411977 | + | 0.911194i | \(0.364838\pi\) | |||||||
\(62\) | −1.99398 | + | 12.5895i | −0.253235 | + | 1.59887i | ||||
\(63\) | −0.620430 | − | 0.379080i | −0.0781668 | − | 0.0477596i | ||||
\(64\) | −18.9716 | + | 26.1121i | −2.37144 | + | 3.26401i | ||||
\(65\) | −3.75848 | − | 3.80908i | −0.466182 | − | 0.472458i | ||||
\(66\) | 3.71193 | + | 5.10904i | 0.456907 | + | 0.628879i | ||||
\(67\) | 9.06063 | − | 4.61662i | 1.10693 | − | 0.564010i | 0.197685 | − | 0.980266i | \(-0.436658\pi\) |
0.909248 | + | 0.416256i | \(0.136658\pi\) | |||||||
\(68\) | 22.4267 | + | 22.4267i | 2.71964 | + | 2.71964i | ||||
\(69\) | −2.24774 | + | 6.91782i | −0.270596 | + | 0.832807i | ||||
\(70\) | −1.35985 | + | 16.1674i | −0.162534 | + | 1.93237i | ||||
\(71\) | −0.623010 | − | 1.91743i | −0.0739377 | − | 0.227557i | 0.907257 | − | 0.420576i | \(-0.138172\pi\) |
−0.981195 | + | 0.193019i | \(0.938172\pi\) | |||||||
\(72\) | 1.20468 | − | 2.36432i | 0.141973 | − | 0.278638i | ||||
\(73\) | 0.771733 | + | 4.87253i | 0.0903245 | + | 0.570287i | 0.990795 | + | 0.135370i | \(0.0432222\pi\) |
−0.900471 | + | 0.434917i | \(0.856778\pi\) | |||||||
\(74\) | − | 7.17495i | − | 0.834070i | ||||||
\(75\) | 8.91709 | + | 1.53484i | 1.02966 | + | 0.177228i | ||||
\(76\) | − | 10.9162i | − | 1.25217i | ||||||
\(77\) | −3.27468 | − | 0.781635i | −0.373185 | − | 0.0890756i | ||||
\(78\) | −10.5822 | − | 5.39190i | −1.19820 | − | 0.610512i | ||||
\(79\) | −1.40604 | + | 0.456850i | −0.158192 | + | 0.0513997i | −0.387042 | − | 0.922062i | \(-0.626503\pi\) |
0.228850 | + | 0.973462i | \(0.426503\pi\) | |||||||
\(80\) | −34.5220 | − | 0.230843i | −3.85967 | − | 0.0258091i | ||||
\(81\) | 3.01258 | − | 9.27176i | 0.334731 | − | 1.03020i | ||||
\(82\) | −1.09962 | + | 1.09962i | −0.121433 | + | 0.121433i | ||||
\(83\) | −2.90533 | + | 1.48034i | −0.318901 | + | 0.162488i | −0.606112 | − | 0.795379i | \(-0.707272\pi\) |
0.287211 | + | 0.957867i | \(0.407272\pi\) | |||||||
\(84\) | 6.20455 | + | 25.6951i | 0.676971 | + | 2.80357i | ||||
\(85\) | −2.09427 | + | 12.6736i | −0.227156 | + | 1.37465i | ||||
\(86\) | −2.83271 | − | 2.05809i | −0.305459 | − | 0.221929i | ||||
\(87\) | 1.51527 | − | 9.56704i | 0.162454 | − | 1.02569i | ||||
\(88\) | 1.92212 | − | 12.1358i | 0.204899 | − | 1.29368i | ||||
\(89\) | −1.42979 | − | 1.03880i | −0.151557 | − | 0.110113i | 0.509423 | − | 0.860516i | \(-0.329859\pi\) |
−0.660980 | + | 0.750404i | \(0.729859\pi\) | |||||||
\(90\) | 1.66617 | − | 0.252487i | 0.175630 | − | 0.0266145i | ||||
\(91\) | 6.15473 | − | 1.48617i | 0.645191 | − | 0.155793i | ||||
\(92\) | 19.7727 | − | 10.0747i | 2.06144 | − | 1.05036i | ||||
\(93\) | −5.94743 | + | 5.94743i | −0.616720 | + | 0.616720i | ||||
\(94\) | 3.24390 | − | 9.98370i | 0.334583 | − | 1.02974i | ||||
\(95\) | 3.59413 | − | 2.57474i | 0.368750 | − | 0.264163i | ||||
\(96\) | −39.6339 | + | 12.8778i | −4.04511 | + | 1.31434i | ||||
\(97\) | 5.83034 | + | 2.97071i | 0.591981 | + | 0.301629i | 0.724199 | − | 0.689591i | \(-0.242210\pi\) |
−0.132218 | + | 0.991221i | \(0.542210\pi\) | |||||||
\(98\) | −15.5603 | − | 11.2429i | −1.57183 | − | 1.13571i | ||||
\(99\) | 0.349688i | 0.0351450i | ||||||||
\(100\) | −15.9256 | − | 22.5477i | −1.59256 | − | 2.25477i | ||||
\(101\) | 16.1325i | 1.60525i | 0.596486 | + | 0.802624i | \(0.296563\pi\) | ||||
−0.596486 | + | 0.802624i | \(0.703437\pi\) | |||||||
\(102\) | 4.45993 | + | 28.1589i | 0.441599 | + | 2.78814i | ||||
\(103\) | −0.850347 | + | 1.66890i | −0.0837871 | + | 0.164442i | −0.929098 | − | 0.369833i | \(-0.879415\pi\) |
0.845311 | + | 0.534274i | \(0.179415\pi\) | |||||||
\(104\) | 7.14077 | + | 21.9770i | 0.700210 | + | 2.15502i | ||||
\(105\) | −6.99663 | + | 8.10342i | −0.682801 | + | 0.790813i | ||||
\(106\) | 3.12606 | − | 9.62101i | 0.303630 | − | 0.934476i | ||||
\(107\) | 12.8863 | + | 12.8863i | 1.24576 | + | 1.24576i | 0.957573 | + | 0.288191i | \(0.0930539\pi\) |
0.288191 | + | 0.957573i | \(0.406946\pi\) | |||||||
\(108\) | −24.2597 | + | 12.3609i | −2.33439 | + | 1.18943i | ||||
\(109\) | 11.5855 | + | 15.9461i | 1.10969 | + | 1.52736i | 0.821866 | + | 0.569681i | \(0.192933\pi\) |
0.287828 | + | 0.957682i | \(0.407067\pi\) | |||||||
\(110\) | 6.97625 | − | 3.49602i | 0.665159 | − | 0.333332i | ||||
\(111\) | 2.78287 | − | 3.83030i | 0.264139 | − | 0.363556i | ||||
\(112\) | 21.2972 | − | 34.8565i | 2.01240 | − | 3.29363i | ||||
\(113\) | −1.53962 | + | 9.72078i | −0.144835 | + | 0.914454i | 0.803066 | + | 0.595890i | \(0.203201\pi\) |
−0.947901 | + | 0.318564i | \(0.896799\pi\) | |||||||
\(114\) | 5.76772 | − | 7.93858i | 0.540196 | − | 0.743516i | ||||
\(115\) | 7.98075 | + | 4.13385i | 0.744209 | + | 0.385483i | ||||
\(116\) | −23.9076 | + | 17.3699i | −2.21977 | + | 1.61276i | ||||
\(117\) | −0.298567 | − | 0.585970i | −0.0276025 | − | 0.0541730i | ||||
\(118\) | −12.3830 | − | 12.3830i | −1.13995 | − | 1.13995i | ||||
\(119\) | −11.5704 | − | 9.85578i | −1.06065 | − | 0.903478i | ||||
\(120\) | −31.4563 | − | 23.1773i | −2.87156 | − | 2.11579i | ||||
\(121\) | −2.89882 | − | 8.92166i | −0.263529 | − | 0.811060i | ||||
\(122\) | 18.8944 | + | 9.62717i | 1.71062 | + | 0.871603i | ||||
\(123\) | −1.01352 | + | 0.160526i | −0.0913864 | + | 0.0144742i | ||||
\(124\) | 25.6605 | 2.30438 | ||||||||
\(125\) | 3.66751 | − | 10.5617i | 0.328032 | − | 0.944667i | ||||
\(126\) | −0.760633 | + | 1.84317i | −0.0677625 | + | 0.164203i | ||||
\(127\) | −1.53317 | − | 9.68004i | −0.136047 | − | 0.858964i | −0.957446 | − | 0.288611i | \(-0.906806\pi\) |
0.821400 | − | 0.570353i | \(-0.193194\pi\) | |||||||
\(128\) | 37.8309 | + | 19.2758i | 3.34381 | + | 1.70376i | ||||
\(129\) | −0.713976 | − | 2.19739i | −0.0628621 | − | 0.193470i | ||||
\(130\) | −8.70512 | + | 11.8146i | −0.763490 | + | 1.03621i | ||||
\(131\) | −9.50120 | − | 3.08713i | −0.830124 | − | 0.269723i | −0.137026 | − | 0.990567i | \(-0.543754\pi\) |
−0.693097 | + | 0.720844i | \(0.743754\pi\) | |||||||
\(132\) | 8.98968 | − | 8.98968i | 0.782451 | − | 0.782451i | ||||
\(133\) | 0.417286 | + | 5.21457i | 0.0361833 | + | 0.452161i | ||||
\(134\) | −16.3920 | − | 22.5617i | −1.41606 | − | 1.94903i | ||||
\(135\) | −9.79183 | − | 5.07195i | −0.842747 | − | 0.436524i | ||||
\(136\) | 32.6048 | − | 44.8767i | 2.79584 | − | 3.84814i | ||||
\(137\) | 7.00943 | + | 1.11018i | 0.598856 | + | 0.0948494i | 0.448500 | − | 0.893783i | \(-0.351958\pi\) |
0.150355 | + | 0.988632i | \(0.451958\pi\) | |||||||
\(138\) | 19.7024 | + | 3.12055i | 1.67718 | + | 0.265639i | ||||
\(139\) | −15.3658 | − | 11.1639i | −1.30331 | − | 0.946911i | −0.303329 | − | 0.952886i | \(-0.598098\pi\) |
−0.999982 | + | 0.00597505i | \(0.998098\pi\) | |||||||
\(140\) | 32.5750 | − | 2.38765i | 2.75309 | − | 0.201793i | ||||
\(141\) | 5.60402 | − | 4.07156i | 0.471943 | − | 0.342887i | ||||
\(142\) | −4.92640 | + | 2.51013i | −0.413415 | + | 0.210645i | ||||
\(143\) | −2.15329 | − | 2.15329i | −0.180067 | − | 0.180067i | ||||
\(144\) | −4.03511 | − | 1.31109i | −0.336259 | − | 0.109257i | ||||
\(145\) | −11.3580 | − | 3.77459i | −0.943231 | − | 0.313462i | ||||
\(146\) | 12.8670 | − | 4.18074i | 1.06488 | − | 0.346001i | ||||
\(147\) | −3.94610 | − | 12.0372i | −0.325469 | − | 0.992810i | ||||
\(148\) | −14.2665 | + | 2.25959i | −1.17270 | + | 0.185737i | ||||
\(149\) | 12.4084i | 1.01653i | 0.861200 | + | 0.508267i | \(0.169714\pi\) | ||||
−0.861200 | + | 0.508267i | \(0.830286\pi\) | |||||||
\(150\) | 0.331842 | − | 24.8119i | 0.0270948 | − | 2.02589i | ||||
\(151\) | 4.43230 | 0.360695 | 0.180348 | − | 0.983603i | \(-0.442278\pi\) | ||||
0.180348 | + | 0.983603i | \(0.442278\pi\) | |||||||
\(152\) | −18.8570 | + | 2.98666i | −1.52951 | + | 0.242250i | ||||
\(153\) | −0.716707 | + | 1.40662i | −0.0579424 | + | 0.113718i | ||||
\(154\) | −0.712317 | + | 9.20537i | −0.0574001 | + | 0.741790i | ||||
\(155\) | 6.05243 | + | 8.44869i | 0.486143 | + | 0.678615i | ||||
\(156\) | −7.38848 | + | 22.7394i | −0.591552 | + | 1.82061i | ||||
\(157\) | −17.3459 | + | 17.3459i | −1.38435 | + | 1.38435i | −0.547637 | + | 0.836716i | \(0.684472\pi\) |
−0.836716 | + | 0.547637i | \(0.815528\pi\) | |||||||
\(158\) | 1.84067 | + | 3.61251i | 0.146435 | + | 0.287396i | ||||
\(159\) | 5.40043 | − | 3.92364i | 0.428282 | − | 0.311165i | ||||
\(160\) | 7.71509 | + | 50.9122i | 0.609931 | + | 4.02496i | ||||
\(161\) | −9.06014 | + | 5.56844i | −0.714039 | + | 0.438854i | ||||
\(162\) | −26.4066 | − | 4.18239i | −2.07470 | − | 0.328600i | ||||
\(163\) | 2.30173 | − | 14.5326i | 0.180286 | − | 1.13828i | −0.717080 | − | 0.696991i | \(-0.754522\pi\) |
0.897366 | − | 0.441288i | \(-0.145478\pi\) | |||||||
\(164\) | 2.53275 | + | 1.84015i | 0.197775 | + | 0.143692i | ||||
\(165\) | 5.08019 | + | 0.839483i | 0.395492 | + | 0.0653536i | ||||
\(166\) | 5.25617 | + | 7.23450i | 0.407958 | + | 0.561506i | ||||
\(167\) | −5.01499 | − | 9.84246i | −0.388071 | − | 0.761633i | 0.611490 | − | 0.791252i | \(-0.290570\pi\) |
−0.999561 | + | 0.0296194i | \(0.990570\pi\) | |||||||
\(168\) | 42.6892 | − | 17.7481i | 3.29354 | − | 1.36930i | ||||
\(169\) | −6.91698 | − | 2.24746i | −0.532076 | − | 0.172882i | ||||
\(170\) | 35.2272 | + | 0.235559i | 2.70180 | + | 0.0180666i | ||||
\(171\) | 0.516763 | − | 0.167906i | 0.0395178 | − | 0.0128401i | ||||
\(172\) | −3.20014 | + | 6.28063i | −0.244009 | + | 0.478894i | ||||
\(173\) | −2.21727 | − | 13.9993i | −0.168576 | − | 1.06435i | −0.916345 | − | 0.400389i | \(-0.868875\pi\) |
0.747769 | − | 0.663959i | \(-0.231125\pi\) | |||||||
\(174\) | −26.5640 | −2.01382 | ||||||||
\(175\) | 8.46945 | + | 10.1621i | 0.640230 | + | 0.768183i | ||||
\(176\) | −19.6459 | −1.48087 | ||||||||
\(177\) | −1.80772 | − | 11.4135i | −0.135877 | − | 0.857891i | ||||
\(178\) | −2.20037 | + | 4.31848i | −0.164925 | + | 0.323683i | ||||
\(179\) | −4.97368 | + | 1.61605i | −0.371750 | + | 0.120789i | −0.488933 | − | 0.872321i | \(-0.662614\pi\) |
0.117183 | + | 0.993110i | \(0.462614\pi\) | |||||||
\(180\) | −1.02676 | − | 3.23346i | −0.0765303 | − | 0.241008i | ||||
\(181\) | 3.01035 | + | 0.978121i | 0.223757 | + | 0.0727032i | 0.418750 | − | 0.908102i | \(-0.362468\pi\) |
−0.194993 | + | 0.980805i | \(0.562468\pi\) | |||||||
\(182\) | −6.66600 | − | 16.0336i | −0.494116 | − | 1.18849i | ||||
\(183\) | 6.35265 | + | 12.4678i | 0.469602 | + | 0.921645i | ||||
\(184\) | −22.8132 | − | 31.3996i | −1.68181 | − | 2.31481i | ||||
\(185\) | −4.10893 | − | 4.16425i | −0.302094 | − | 0.306162i | ||||
\(186\) | 18.6612 | + | 13.5581i | 1.36830 | + | 0.994130i | ||||
\(187\) | −1.14354 | + | 7.22001i | −0.0836238 | + | 0.527980i | ||||
\(188\) | −20.8729 | − | 3.30594i | −1.52231 | − | 0.241111i | ||||
\(189\) | 11.1162 | − | 6.83209i | 0.808582 | − | 0.496961i | ||||
\(190\) | −8.51606 | − | 8.63072i | −0.617820 | − | 0.626138i | ||||
\(191\) | −10.5763 | + | 7.68411i | −0.765272 | + | 0.556003i | −0.900523 | − | 0.434809i | \(-0.856816\pi\) |
0.135251 | + | 0.990811i | \(0.456816\pi\) | |||||||
\(192\) | 26.5170 | + | 52.0425i | 1.91370 | + | 3.75584i | ||||
\(193\) | −8.35198 | + | 8.35198i | −0.601189 | + | 0.601189i | −0.940628 | − | 0.339439i | \(-0.889763\pi\) |
0.339439 | + | 0.940628i | \(0.389763\pi\) | |||||||
\(194\) | 5.54538 | − | 17.0669i | 0.398135 | − | 1.22533i | ||||
\(195\) | −9.22960 | + | 2.93079i | −0.660945 | + | 0.209878i | ||||
\(196\) | −17.4547 | + | 34.4804i | −1.24677 | + | 2.46289i | ||||
\(197\) | −7.13895 | + | 14.0110i | −0.508629 | + | 0.998240i | 0.483772 | + | 0.875194i | \(0.339266\pi\) |
−0.992401 | + | 0.123046i | \(0.960734\pi\) | |||||||
\(198\) | 0.947191 | − | 0.150020i | 0.0673139 | − | 0.0106615i | ||||
\(199\) | −6.76679 | −0.479685 | −0.239843 | − | 0.970812i | \(-0.577096\pi\) | ||||
−0.239843 | + | 0.970812i | \(0.577096\pi\) | |||||||
\(200\) | −34.5926 | + | 33.6795i | −2.44607 | + | 2.38150i | ||||
\(201\) | − | 18.4022i | − | 1.29799i | ||||||
\(202\) | 43.6977 | − | 6.92104i | 3.07456 | − | 0.486963i | ||||
\(203\) | 10.7565 | − | 9.21139i | 0.754960 | − | 0.646513i | ||||
\(204\) | 54.5858 | − | 17.7360i | 3.82177 | − | 1.24177i | ||||
\(205\) | −0.00847849 | + | 1.26793i | −0.000592163 | + | 0.0885563i | ||||
\(206\) | 4.88531 | + | 1.58733i | 0.340376 | + | 0.110595i | ||||
\(207\) | 0.781059 | + | 0.781059i | 0.0542874 | + | 0.0542874i | ||||
\(208\) | 32.9205 | − | 16.7738i | 2.28263 | − | 1.16306i | ||||
\(209\) | 2.03547 | − | 1.47886i | 0.140797 | − | 0.102295i | ||||
\(210\) | 24.9511 | + | 15.4751i | 1.72179 | + | 1.06788i | ||||
\(211\) | 1.23437 | + | 0.896823i | 0.0849776 | + | 0.0617398i | 0.629463 | − | 0.777031i | \(-0.283275\pi\) |
−0.544485 | + | 0.838770i | \(0.683275\pi\) | |||||||
\(212\) | −20.1146 | − | 3.18585i | −1.38148 | − | 0.218805i | ||||
\(213\) | −3.60351 | − | 0.570740i | −0.246908 | − | 0.0391064i | ||||
\(214\) | 29.3764 | − | 40.4331i | 2.00813 | − | 2.76395i | ||||
\(215\) | −2.82269 | + | 0.427742i | −0.192506 | + | 0.0291718i | ||||
\(216\) | 27.9902 | + | 38.5252i | 1.90449 | + | 2.62131i | ||||
\(217\) | −12.2578 | + | 0.980911i | −0.832117 | + | 0.0665886i | ||||
\(218\) | 38.2225 | − | 38.2225i | 2.58876 | − | 2.58876i | ||||
\(219\) | 8.49051 | + | 2.75873i | 0.573736 | + | 0.186418i | ||||
\(220\) | −9.14839 | − | 12.7704i | −0.616784 | − | 0.860979i | ||||
\(221\) | −4.24829 | − | 13.0749i | −0.285771 | − | 0.879512i | ||||
\(222\) | −11.5689 | − | 5.89465i | −0.776454 | − | 0.395623i | ||||
\(223\) | 3.54196 | + | 22.3630i | 0.237187 | + | 1.49754i | 0.762699 | + | 0.646754i | \(0.223874\pi\) |
−0.525512 | + | 0.850786i | \(0.676126\pi\) | |||||||
\(224\) | −56.3206 | − | 23.2422i | −3.76308 | − | 1.55293i | ||||
\(225\) | 0.822434 | − | 1.10072i | 0.0548289 | − | 0.0733814i | ||||
\(226\) | 26.9909 | 1.79541 | ||||||||
\(227\) | 12.0741 | − | 1.91235i | 0.801388 | − | 0.126927i | 0.257711 | − | 0.966222i | \(-0.417032\pi\) |
0.543677 | + | 0.839295i | \(0.317032\pi\) | |||||||
\(228\) | −17.6013 | − | 8.96829i | −1.16567 | − | 0.593940i | ||||
\(229\) | 7.20363 | + | 22.1705i | 0.476029 | + | 1.46507i | 0.844564 | + | 0.535454i | \(0.179860\pi\) |
−0.368535 | + | 0.929614i | \(0.620140\pi\) | |||||||
\(230\) | 7.77340 | − | 23.3907i | 0.512563 | − | 1.54234i | ||||
\(231\) | −3.95066 | + | 4.63795i | −0.259934 | + | 0.305155i | ||||
\(232\) | 36.5466 | + | 36.5466i | 2.39940 | + | 2.39940i | ||||
\(233\) | −7.72085 | − | 15.1530i | −0.505810 | − | 0.992708i | −0.992855 | − | 0.119331i | \(-0.961925\pi\) |
0.487045 | − | 0.873377i | \(-0.338075\pi\) | |||||||
\(234\) | −1.45911 | + | 1.06011i | −0.0953852 | + | 0.0693014i | ||||
\(235\) | −3.83472 | − | 7.65213i | −0.250149 | − | 0.499170i | ||||
\(236\) | −20.7223 | + | 28.5219i | −1.34891 | + | 1.85662i | ||||
\(237\) | −0.418521 | + | 2.64244i | −0.0271858 | + | 0.171645i | ||||
\(238\) | −21.7322 | + | 35.5686i | −1.40869 | + | 2.30557i | ||||
\(239\) | −10.8841 | + | 14.9806i | −0.704032 | + | 0.969017i | 0.295873 | + | 0.955227i | \(0.404389\pi\) |
−0.999905 | + | 0.0137895i | \(0.995611\pi\) | |||||||
\(240\) | −28.7341 | + | 55.4737i | −1.85478 | + | 3.58081i | ||||
\(241\) | −4.95811 | − | 6.82425i | −0.319380 | − | 0.439589i | 0.618898 | − | 0.785472i | \(-0.287580\pi\) |
−0.938278 | + | 0.345883i | \(0.887580\pi\) | |||||||
\(242\) | −22.9222 | + | 11.6795i | −1.47350 | + | 0.750784i | ||||
\(243\) | −2.01325 | − | 2.01325i | −0.129150 | − | 0.129150i | ||||
\(244\) | 13.1920 | − | 40.6009i | 0.844534 | − | 2.59921i | ||||
\(245\) | −15.4696 | + | 2.38579i | −0.988315 | + | 0.152423i | ||||
\(246\) | 0.869627 | + | 2.67644i | 0.0554454 | + | 0.170643i | ||||
\(247\) | −2.14817 | + | 4.21602i | −0.136685 | + | 0.268259i | ||||
\(248\) | −7.02071 | − | 44.3270i | −0.445815 | − | 2.81477i | ||||
\(249\) | 5.90075i | 0.373945i | ||||||||
\(250\) | −30.1816 | − | 5.40299i | −1.90885 | − | 0.341715i | ||||
\(251\) | − | 23.5450i | − | 1.48615i | −0.669208 | − | 0.743075i | \(-0.733366\pi\) | ||
0.669208 | − | 0.743075i | \(-0.266634\pi\) | |||||||
\(252\) | 3.90445 | + | 0.931956i | 0.245958 | + | 0.0587077i | ||||
\(253\) | 4.55725 | + | 2.32203i | 0.286512 | + | 0.145985i | ||||
\(254\) | −25.5623 | + | 8.30569i | −1.60392 | + | 0.521146i | ||||
\(255\) | 18.7144 | + | 13.7890i | 1.17194 | + | 0.863499i | ||||
\(256\) | 16.0341 | − | 49.3478i | 1.00213 | − | 3.08424i | ||||
\(257\) | −7.46775 | + | 7.46775i | −0.465826 | + | 0.465826i | −0.900559 | − | 0.434734i | \(-0.856843\pi\) |
0.434734 | + | 0.900559i | \(0.356843\pi\) | |||||||
\(258\) | −5.64571 | + | 2.87663i | −0.351487 | + | 0.179091i | ||||
\(259\) | 6.72861 | − | 1.62474i | 0.418095 | − | 0.100957i | ||||
\(260\) | 26.2334 | + | 13.5883i | 1.62692 | + | 0.842709i | ||||
\(261\) | −1.19001 | − | 0.864595i | −0.0736599 | − | 0.0535171i | ||||
\(262\) | −4.28589 | + | 27.0600i | −0.264783 | + | 1.67177i | ||||
\(263\) | 2.15698 | − | 13.6187i | 0.133005 | − | 0.839762i | −0.827493 | − | 0.561476i | \(-0.810234\pi\) |
0.960498 | − | 0.278286i | \(-0.0897664\pi\) | |||||||
\(264\) | −17.9887 | − | 13.0696i | −1.10713 | − | 0.804375i | ||||
\(265\) | −3.69541 | − | 7.37414i | −0.227007 | − | 0.452990i | ||||
\(266\) | 13.9455 | − | 3.36740i | 0.855056 | − | 0.206469i | ||||
\(267\) | −2.84962 | + | 1.45195i | −0.174394 | + | 0.0888581i | ||||
\(268\) | −39.6987 | + | 39.6987i | −2.42499 | + | 2.42499i | ||||
\(269\) | −3.01625 | + | 9.28306i | −0.183904 | + | 0.565998i | −0.999928 | − | 0.0120200i | \(-0.996174\pi\) |
0.816024 | + | 0.578018i | \(0.196174\pi\) | |||||||
\(270\) | −9.53743 | + | 28.6988i | −0.580429 | + | 1.74655i | ||||
\(271\) | 5.99338 | − | 1.94737i | 0.364072 | − | 0.118294i | −0.121268 | − | 0.992620i | \(-0.538696\pi\) |
0.485340 | + | 0.874326i | \(0.338696\pi\) | |||||||
\(272\) | −79.0255 | − | 40.2655i | −4.79162 | − | 2.44145i | ||||
\(273\) | 2.66018 | − | 11.1449i | 0.161001 | − | 0.674519i | ||||
\(274\) | − | 19.4625i | − | 1.17577i | ||||||
\(275\) | 2.04684 | − | 6.02418i | 0.123429 | − | 0.363272i | ||||
\(276\) | − | 40.1585i | − | 2.41726i | ||||||
\(277\) | −3.67142 | − | 23.1804i | −0.220594 | − | 1.39278i | −0.810705 | − | 0.585454i | \(-0.800916\pi\) |
0.590111 | − | 0.807322i | \(-0.299084\pi\) | |||||||
\(278\) | −23.6473 | + | 46.4104i | −1.41827 | + | 2.78351i | ||||
\(279\) | 0.394696 | + | 1.21475i | 0.0236298 | + | 0.0727252i | ||||
\(280\) | −13.0370 | − | 55.6181i | −0.779112 | − | 3.32382i | ||||
\(281\) | −1.19636 | + | 3.68203i | −0.0713691 | + | 0.219651i | −0.980379 | − | 0.197124i | \(-0.936840\pi\) |
0.909010 | + | 0.416775i | \(0.136840\pi\) | |||||||
\(282\) | −13.4327 | − | 13.4327i | −0.799905 | − | 0.799905i | ||||
\(283\) | 25.3747 | − | 12.9291i | 1.50837 | − | 0.768553i | 0.512443 | − | 0.858721i | \(-0.328741\pi\) |
0.995927 | + | 0.0901685i | \(0.0287406\pi\) | |||||||
\(284\) | 6.54253 | + | 9.00502i | 0.388228 | + | 0.534349i | ||||
\(285\) | −1.19873 | − | 7.91049i | −0.0710068 | − | 0.468577i | ||||
\(286\) | −4.90877 | + | 6.75635i | −0.290262 | + | 0.399511i | ||||
\(287\) | −1.28022 | − | 0.782210i | −0.0755691 | − | 0.0461724i | ||||
\(288\) | −0.989985 | + | 6.25052i | −0.0583354 | + | 0.368315i | ||||
\(289\) | −9.40537 | + | 12.9454i | −0.553257 | + | 0.761493i | ||||
\(290\) | −5.35141 | + | 32.3844i | −0.314246 | + | 1.90168i | ||||
\(291\) | 9.57995 | − | 6.96024i | 0.561587 | − | 0.408017i | ||||
\(292\) | −12.3650 | − | 24.2678i | −0.723609 | − | 1.42016i | ||||
\(293\) | 19.5637 | + | 19.5637i | 1.14292 | + | 1.14292i | 0.987913 | + | 0.155010i | \(0.0495409\pi\) |
0.155010 | + | 0.987913i | \(0.450459\pi\) | |||||||
\(294\) | −30.9119 | + | 15.8528i | −1.80282 | + | 0.924553i | ||||
\(295\) | −14.2785 | − | 0.0954780i | −0.831324 | − | 0.00555894i | ||||
\(296\) | 7.80659 | + | 24.0262i | 0.453749 | + | 1.39650i | ||||
\(297\) | −5.59143 | − | 2.84898i | −0.324448 | − | 0.165314i | ||||
\(298\) | 33.6102 | − | 5.32333i | 1.94699 | − | 0.308372i | ||||
\(299\) | −9.61912 | −0.556288 | ||||||||
\(300\) | −49.4399 | + | 7.15413i | −2.85441 | + | 0.413044i | ||||
\(301\) | 1.28860 | − | 3.12254i | 0.0742736 | − | 0.179980i | ||||
\(302\) | −1.90151 | − | 12.0056i | −0.109419 | − | 0.690847i | ||||
\(303\) | 26.0122 | + | 13.2539i | 1.49436 | + | 0.761414i | ||||
\(304\) | 9.43318 | + | 29.0324i | 0.541030 | + | 1.66512i | ||||
\(305\) | 16.4793 | − | 5.23290i | 0.943604 | − | 0.299635i | ||||
\(306\) | 4.11754 | + | 1.33787i | 0.235384 | + | 0.0764809i | ||||
\(307\) | −4.58907 | + | 4.58907i | −0.261912 | + | 0.261912i | −0.825831 | − | 0.563918i | \(-0.809293\pi\) |
0.563918 | + | 0.825831i | \(0.309293\pi\) | |||||||
\(308\) | 18.5280 | − | 1.48267i | 1.05573 | − | 0.0844830i | ||||
\(309\) | 1.99233 | + | 2.74220i | 0.113340 | + | 0.155999i | ||||
\(310\) | 20.2882 | − | 20.0186i | 1.15229 | − | 1.13698i | ||||
\(311\) | −16.3155 | + | 22.4563i | −0.925166 | + | 1.27338i | 0.0365493 | + | 0.999332i | \(0.488363\pi\) |
−0.961715 | + | 0.274050i | \(0.911637\pi\) | |||||||
\(312\) | 41.3024 | + | 6.54166i | 2.33829 | + | 0.370349i | ||||
\(313\) | 18.1720 | + | 2.87816i | 1.02714 | + | 0.162683i | 0.647195 | − | 0.762324i | \(-0.275942\pi\) |
0.379948 | + | 0.925008i | \(0.375942\pi\) | |||||||
\(314\) | 54.4259 | + | 39.5427i | 3.07143 | + | 2.23153i | ||||
\(315\) | 0.614081 | + | 1.50535i | 0.0345995 | + | 0.0848169i | ||||
\(316\) | 6.60334 | − | 4.79761i | 0.371467 | − | 0.269886i | ||||
\(317\) | 17.5164 | − | 8.92505i | 0.983819 | − | 0.501281i | 0.113377 | − | 0.993552i | \(-0.463833\pi\) |
0.870442 | + | 0.492271i | \(0.163833\pi\) | |||||||
\(318\) | −12.9447 | − | 12.9447i | −0.725904 | − | 0.725904i | ||||
\(319\) | −6.47774 | − | 2.10474i | −0.362684 | − | 0.117843i | ||||
\(320\) | 68.7873 | − | 21.8429i | 3.84533 | − | 1.22106i | ||||
\(321\) | 31.3648 | − | 10.1910i | 1.75061 | − | 0.568808i | ||||
\(322\) | 18.9700 | + | 22.1520i | 1.05716 | + | 1.23448i | ||||
\(323\) | 11.2187 | − | 1.77686i | 0.624224 | − | 0.0988674i | ||||
\(324\) | 53.8233i | 2.99018i | ||||||||
\(325\) | 1.71362 | + | 11.8423i | 0.0950547 | + | 0.656892i | ||||
\(326\) | −40.3514 | −2.23486 | ||||||||
\(327\) | 35.2298 | − | 5.57986i | 1.94821 | − | 0.308567i | ||||
\(328\) | 2.48579 | − | 4.87864i | 0.137255 | − | 0.269378i | ||||
\(329\) | 10.0972 | + | 0.781328i | 0.556677 | + | 0.0430760i | ||||
\(330\) | 0.0944232 | − | 14.1207i | 0.00519783 | − | 0.777320i | ||||
\(331\) | −7.01212 | + | 21.5811i | −0.385421 | + | 1.18620i | 0.550753 | + | 0.834668i | \(0.314340\pi\) |
−0.936174 | + | 0.351536i | \(0.885660\pi\) | |||||||
\(332\) | 12.7296 | − | 12.7296i | 0.698626 | − | 0.698626i | ||||
\(333\) | −0.326406 | − | 0.640608i | −0.0178869 | − | 0.0351051i | ||||
\(334\) | −24.5085 | + | 17.8065i | −1.34105 | + | 0.974327i | ||||
\(335\) | −22.4343 | − | 3.70719i | −1.22572 | − | 0.202545i | ||||
\(336\) | −38.7058 | − | 62.9764i | −2.11158 | − | 3.43564i | ||||
\(337\) | −7.87744 | − | 1.24766i | −0.429112 | − | 0.0679646i | −0.0618569 | − | 0.998085i | \(-0.519702\pi\) |
−0.367255 | + | 0.930120i | \(0.619702\pi\) | |||||||
\(338\) | −3.12018 | + | 19.7000i | −0.169715 | + | 1.07154i | ||||
\(339\) | 14.4089 | + | 10.4687i | 0.782585 | + | 0.568582i | ||||
\(340\) | −10.6256 | − | 70.1189i | −0.576255 | − | 3.80273i | ||||
\(341\) | 3.47634 | + | 4.78477i | 0.188254 | + | 0.259110i | ||||
\(342\) | −0.676500 | − | 1.32771i | −0.0365810 | − | 0.0717942i | ||||
\(343\) | 7.01994 | − | 17.1383i | 0.379041 | − | 0.925380i | ||||
\(344\) | 11.7250 | + | 3.80967i | 0.632168 | + | 0.205404i | ||||
\(345\) | 13.2221 | − | 9.47199i | 0.711854 | − | 0.509955i | ||||
\(346\) | −36.9683 | + | 12.0117i | −1.98743 | + | 0.645755i | ||||
\(347\) | 6.42057 | − | 12.6011i | 0.344674 | − | 0.676461i | −0.651976 | − | 0.758239i | \(-0.726060\pi\) |
0.996651 | + | 0.0817782i | \(0.0260599\pi\) | |||||||
\(348\) | 8.36574 | + | 52.8192i | 0.448451 | + | 2.83141i | ||||
\(349\) | −6.87398 | −0.367956 | −0.183978 | − | 0.982930i | \(-0.558897\pi\) | ||||
−0.183978 | + | 0.982930i | \(0.558897\pi\) | |||||||
\(350\) | 23.8923 | − | 27.3006i | 1.27710 | − | 1.45928i | ||||
\(351\) | 11.8020 | 0.629944 | ||||||||
\(352\) | 4.58407 | + | 28.9427i | 0.244332 | + | 1.54265i | ||||
\(353\) | 12.0345 | − | 23.6190i | 0.640530 | − | 1.25711i | −0.311250 | − | 0.950328i | \(-0.600748\pi\) |
0.951780 | − | 0.306782i | \(-0.0992523\pi\) | |||||||
\(354\) | −30.1399 | + | 9.79305i | −1.60192 | + | 0.520495i | ||||
\(355\) | −1.42173 | + | 4.27809i | −0.0754576 | + | 0.227057i | ||||
\(356\) | 9.27970 | + | 3.01516i | 0.491823 | + | 0.159803i | ||||
\(357\) | −25.3972 | + | 10.5590i | −1.34416 | + | 0.558840i | ||||
\(358\) | 6.51110 | + | 12.7788i | 0.344123 | + | 0.675379i | ||||
\(359\) | −8.50093 | − | 11.7005i | −0.448662 | − | 0.617530i | 0.523447 | − | 0.852058i | \(-0.324646\pi\) |
−0.972109 | + | 0.234528i | \(0.924646\pi\) | |||||||
\(360\) | −5.30468 | + | 2.65834i | −0.279581 | + | 0.140107i | ||||
\(361\) | 12.2085 | + | 8.87002i | 0.642555 | + | 0.466843i | ||||
\(362\) | 1.35794 | − | 8.57367i | 0.0713715 | − | 0.450622i | ||||
\(363\) | −16.7669 | − | 2.65561i | −0.880033 | − | 0.139383i | ||||
\(364\) | −29.7814 | + | 18.3039i | −1.56097 | + | 0.959384i | ||||
\(365\) | 5.07363 | − | 9.79509i | 0.265566 | − | 0.512699i | ||||
\(366\) | 31.0458 | − | 22.5561i | 1.62279 | − | 1.17903i | ||||
\(367\) | −11.6551 | − | 22.8745i | −0.608392 | − | 1.19404i | −0.965605 | − | 0.260014i | \(-0.916273\pi\) |
0.357212 | − | 0.934023i | \(-0.383727\pi\) | |||||||
\(368\) | −43.8809 | + | 43.8809i | −2.28745 | + | 2.28745i | ||||
\(369\) | −0.0481540 | + | 0.148203i | −0.00250680 | + | 0.00771513i | ||||
\(370\) | −9.51681 | + | 12.9163i | −0.494755 | + | 0.671484i | ||||
\(371\) | 9.73040 | + | 0.752944i | 0.505177 | + | 0.0390909i | ||||
\(372\) | 21.0817 | − | 41.3751i | 1.09303 | − | 2.14520i | ||||
\(373\) | 11.0192 | − | 1.74527i | 0.570551 | − | 0.0903665i | 0.135509 | − | 0.990776i | \(-0.456733\pi\) |
0.435043 | + | 0.900410i | \(0.356733\pi\) | |||||||
\(374\) | 20.0472 | 1.03662 | ||||||||
\(375\) | −14.0166 | − | 14.5906i | −0.723816 | − | 0.753454i | ||||
\(376\) | 36.9612i | 1.90613i | ||||||||
\(377\) | 12.6517 | − | 2.00384i | 0.651598 | − | 0.103203i | ||||
\(378\) | −23.2748 | − | 27.1790i | −1.19713 | − | 1.39794i | ||||
\(379\) | 6.49592 | − | 2.11065i | 0.333673 | − | 0.108417i | −0.137389 | − | 0.990517i | \(-0.543871\pi\) |
0.471062 | + | 0.882100i | \(0.343871\pi\) | |||||||
\(380\) | −14.4791 | + | 19.6511i | −0.742764 | + | 1.00808i | ||||
\(381\) | −16.8677 | − | 5.48065i | −0.864159 | − | 0.280782i | ||||
\(382\) | 25.3511 | + | 25.3511i | 1.29707 | + | 1.29707i | ||||
\(383\) | −20.2750 | + | 10.3306i | −1.03600 | + | 0.527870i | −0.887387 | − | 0.461025i | \(-0.847482\pi\) |
−0.148616 | + | 0.988895i | \(0.547482\pi\) | |||||||
\(384\) | 62.1608 | − | 45.1624i | 3.17213 | − | 2.30469i | ||||
\(385\) | 4.85829 | + | 5.75061i | 0.247601 | + | 0.293078i | ||||
\(386\) | 26.2059 | + | 19.0397i | 1.33384 | + | 0.969095i | ||||
\(387\) | −0.346543 | − | 0.0548871i | −0.0176158 | − | 0.00279007i | ||||
\(388\) | −35.6818 | − | 5.65144i | −1.81147 | − | 0.286909i | ||||
\(389\) | −16.6614 | + | 22.9324i | −0.844764 | + | 1.16272i | 0.140228 | + | 0.990119i | \(0.455216\pi\) |
−0.984992 | + | 0.172599i | \(0.944784\pi\) | |||||||
\(390\) | 11.8982 | + | 23.7426i | 0.602487 | + | 1.20225i | ||||
\(391\) | 13.5723 | + | 18.6807i | 0.686383 | + | 0.944725i | ||||
\(392\) | 64.3384 | + | 20.7182i | 3.24958 | + | 1.04643i | ||||
\(393\) | −12.7835 | + | 12.7835i | −0.644843 | + | 0.644843i | ||||
\(394\) | 41.0138 | + | 13.3262i | 2.06625 | + | 0.671364i | ||||
\(395\) | 3.13710 | + | 1.04255i | 0.157845 | + | 0.0524563i | ||||
\(396\) | −0.596592 | − | 1.83612i | −0.0299799 | − | 0.0922686i | ||||
\(397\) | 7.56266 | + | 3.85337i | 0.379559 | + | 0.193395i | 0.633352 | − | 0.773864i | \(-0.281678\pi\) |
−0.253794 | + | 0.967258i | \(0.581678\pi\) | |||||||
\(398\) | 2.90303 | + | 18.3290i | 0.145516 | + | 0.918751i | ||||
\(399\) | 8.75082 | + | 3.61125i | 0.438089 | + | 0.180789i | ||||
\(400\) | 61.8398 | + | 46.2053i | 3.09199 | + | 2.31027i | ||||
\(401\) | −5.32668 | −0.266002 | −0.133001 | − | 0.991116i | \(-0.542461\pi\) | ||||
−0.133001 | + | 0.991116i | \(0.542461\pi\) | |||||||
\(402\) | −49.8456 | + | 7.89477i | −2.48607 | + | 0.393755i | ||||
\(403\) | −9.91055 | − | 5.04968i | −0.493680 | − | 0.251542i | ||||
\(404\) | −27.5232 | − | 84.7078i | −1.36933 | − | 4.21437i | ||||
\(405\) | −17.7212 | + | 12.6950i | −0.880574 | + | 0.630822i | ||||
\(406\) | −29.5653 | − | 25.1841i | −1.46730 | − | 1.24987i | ||||
\(407\) | −2.35407 | − | 2.35407i | −0.116687 | − | 0.116687i | ||||
\(408\) | −45.5725 | − | 89.4410i | −2.25617 | − | 4.42799i | ||||
\(409\) | 23.6201 | − | 17.1610i | 1.16794 | − | 0.848559i | 0.177180 | − | 0.984178i | \(-0.443303\pi\) |
0.990761 | + | 0.135620i | \(0.0433025\pi\) | |||||||
\(410\) | 3.43805 | − | 0.520993i | 0.169793 | − | 0.0257300i | ||||
\(411\) | 7.54873 | − | 10.3899i | 0.372352 | − | 0.512498i | ||||
\(412\) | 1.61769 | − | 10.2137i | 0.0796980 | − | 0.503193i | ||||
\(413\) | 8.80863 | − | 14.4168i | 0.433444 | − | 0.709406i | ||||
\(414\) | 1.78055 | − | 2.45072i | 0.0875093 | − | 0.120446i | ||||
\(415\) | 7.19366 | + | 1.18872i | 0.353123 | + | 0.0583522i | ||||
\(416\) | −32.3930 | − | 44.5852i | −1.58820 | − | 2.18597i | ||||
\(417\) | −30.6247 | + | 15.6041i | −1.49970 | + | 0.764134i | ||||
\(418\) | −4.87898 | − | 4.87898i | −0.238639 | − | 0.238639i | ||||
\(419\) | −7.04373 | + | 21.6784i | −0.344109 | + | 1.05906i | 0.617951 | + | 0.786217i | \(0.287963\pi\) |
−0.962059 | + | 0.272841i | \(0.912037\pi\) | |||||||
\(420\) | 22.9125 | − | 54.4857i | 1.11802 | − | 2.65863i | ||||
\(421\) | −1.08084 | − | 3.32647i | −0.0526767 | − | 0.162122i | 0.921257 | − | 0.388954i | \(-0.127163\pi\) |
−0.973934 | + | 0.226831i | \(0.927163\pi\) | |||||||
\(422\) | 1.89964 | − | 3.72825i | 0.0924730 | − | 0.181489i | ||||
\(423\) | −0.164555 | − | 1.03896i | −0.00800092 | − | 0.0505158i | ||||
\(424\) | 35.6185i | 1.72979i | ||||||||
\(425\) | 20.5803 | − | 20.0371i | 0.998292 | − | 0.971941i | ||||
\(426\) | 10.0056i | 0.484772i | ||||||||
\(427\) | −4.74971 | + | 19.8991i | −0.229855 | + | 0.962983i | ||||
\(428\) | −89.6474 | − | 45.6776i | −4.33327 | − | 2.20791i | ||||
\(429\) | −5.24103 | + | 1.70291i | −0.253039 | + | 0.0822175i | ||||
\(430\) | 2.36958 | + | 7.46224i | 0.114271 | + | 0.359861i | ||||
\(431\) | −2.79323 | + | 8.59668i | −0.134545 | + | 0.414088i | −0.995519 | − | 0.0945617i | \(-0.969855\pi\) |
0.860974 | + | 0.508649i | \(0.169855\pi\) | |||||||
\(432\) | 53.8388 | − | 53.8388i | 2.59032 | − | 2.59032i | ||||
\(433\) | 0.598416 | − | 0.304908i | 0.0287580 | − | 0.0146529i | −0.439552 | − | 0.898217i | \(-0.644863\pi\) |
0.468310 | + | 0.883564i | \(0.344863\pi\) | |||||||
\(434\) | 7.91573 | + | 32.7817i | 0.379967 | + | 1.57357i | ||||
\(435\) | −15.4174 | + | 15.2126i | −0.739210 | + | 0.729390i | ||||
\(436\) | −88.0379 | − | 63.9633i | −4.21625 | − | 3.06329i | ||||
\(437\) | 1.24325 | − | 7.84957i | 0.0594727 | − | 0.375496i | ||||
\(438\) | 3.82998 | − | 24.1815i | 0.183004 | − | 1.15544i | ||||
\(439\) | −1.63435 | − | 1.18742i | −0.0780031 | − | 0.0566726i | 0.548100 | − | 0.836413i | \(-0.315351\pi\) |
−0.626103 | + | 0.779740i | \(0.715351\pi\) | |||||||
\(440\) | −19.5571 | + | 19.2973i | −0.932347 | + | 0.919961i | ||||
\(441\) | −1.90076 | − | 0.295935i | −0.0905121 | − | 0.0140921i | ||||
\(442\) | −33.5930 | + | 17.1165i | −1.59786 | + | 0.814149i | ||||
\(443\) | 6.44522 | − | 6.44522i | 0.306222 | − | 0.306222i | −0.537220 | − | 0.843442i | \(-0.680526\pi\) |
0.843442 | + | 0.537220i | \(0.180526\pi\) | |||||||
\(444\) | −8.07740 | + | 24.8597i | −0.383336 | + | 1.17979i | ||||
\(445\) | 1.19602 | + | 3.76649i | 0.0566970 | + | 0.178549i | ||||
\(446\) | 59.0546 | − | 19.1880i | 2.79632 | − | 0.908578i | ||||
\(447\) | 20.0073 | + | 10.1942i | 0.946313 | + | 0.482170i | ||||
\(448\) | −19.8260 | + | 83.0618i | −0.936693 | + | 3.92430i | ||||
\(449\) | 15.4858i | 0.730819i | 0.930847 | + | 0.365410i | \(0.119071\pi\) | ||||
−0.930847 | + | 0.365410i | \(0.880929\pi\) | |||||||
\(450\) | −3.33433 | − | 1.75548i | −0.157182 | − | 0.0827542i | ||||
\(451\) | 0.721561i | 0.0339770i | ||||||||
\(452\) | −8.50017 | − | 53.6680i | −0.399814 | − | 2.52433i | ||||
\(453\) | 3.64140 | − | 7.14666i | 0.171088 | − | 0.335779i | ||||
\(454\) | −10.3599 | − | 31.8844i | −0.486213 | − | 1.49641i | ||||
\(455\) | −13.0509 | − | 5.48821i | −0.611836 | − | 0.257291i | ||||
\(456\) | −10.6765 | + | 32.8588i | −0.499972 | + | 1.53876i | ||||
\(457\) | −2.63519 | − | 2.63519i | −0.123269 | − | 0.123269i | 0.642781 | − | 0.766050i | \(-0.277780\pi\) |
−0.766050 | + | 0.642781i | \(0.777780\pi\) | |||||||
\(458\) | 56.9622 | − | 29.0237i | 2.66167 | − | 1.35619i | ||||
\(459\) | −16.6523 | − | 22.9200i | −0.777264 | − | 1.06981i | ||||
\(460\) | −48.9575 | − | 8.09004i | −2.28265 | − | 0.377200i | ||||
\(461\) | 3.72897 | − | 5.13249i | 0.173676 | − | 0.239044i | −0.713302 | − | 0.700857i | \(-0.752801\pi\) |
0.886977 | + | 0.461813i | \(0.152801\pi\) | |||||||
\(462\) | 14.2576 | + | 8.71131i | 0.663322 | + | 0.405287i | ||||
\(463\) | 1.92580 | − | 12.1590i | 0.0894996 | − | 0.565078i | −0.901664 | − | 0.432437i | \(-0.857654\pi\) |
0.991164 | − | 0.132642i | \(-0.0423460\pi\) | |||||||
\(464\) | 48.5740 | − | 66.8564i | 2.25499 | − | 3.10373i | ||||
\(465\) | 18.5951 | − | 2.81785i | 0.862329 | − | 0.130675i | ||||
\(466\) | −37.7322 | + | 27.4141i | −1.74791 | + | 1.26993i | ||||
\(467\) | 4.25766 | + | 8.35613i | 0.197021 | + | 0.386676i | 0.968288 | − | 0.249836i | \(-0.0803767\pi\) |
−0.771267 | + | 0.636512i | \(0.780377\pi\) | |||||||
\(468\) | 2.56740 | + | 2.56740i | 0.118678 | + | 0.118678i | ||||
\(469\) | 17.4463 | − | 20.4813i | 0.805594 | − | 0.945741i | ||||
\(470\) | −19.0820 | + | 13.6698i | −0.880185 | + | 0.630543i | ||||
\(471\) | 13.7179 | + | 42.2193i | 0.632086 | + | 1.94536i | ||||
\(472\) | 54.9394 | + | 27.9930i | 2.52879 | + | 1.28848i | ||||
\(473\) | −1.60465 | + | 0.254152i | −0.0737819 | + | 0.0116859i | ||||
\(474\) | 7.33704 | 0.337002 | ||||||||
\(475\) | −9.88523 | − | 0.132208i | −0.453566 | − | 0.00606613i | ||||
\(476\) | 77.5676 | + | 32.0103i | 3.55531 | + | 1.46719i | ||||
\(477\) | −0.158577 | − | 1.00121i | −0.00726073 | − | 0.0458425i | ||||
\(478\) | 45.2470 | + | 23.0545i | 2.06955 | + | 1.05449i | ||||
\(479\) | −3.05792 | − | 9.41131i | −0.139720 | − | 0.430014i | 0.856574 | − | 0.516024i | \(-0.172588\pi\) |
−0.996294 | + | 0.0860100i | \(0.972588\pi\) | |||||||
\(480\) | 88.4295 | + | 29.3876i | 4.03623 | + | 1.34136i | ||||
\(481\) | 5.95462 | + | 1.93477i | 0.271507 | + | 0.0882181i | ||||
\(482\) | −16.3576 | + | 16.3576i | −0.745067 | + | 0.745067i | ||||
\(483\) | 1.53512 | + | 19.1834i | 0.0698502 | + | 0.872875i | ||||
\(484\) | 30.4419 | + | 41.8997i | 1.38372 | + | 1.90453i | ||||
\(485\) | −6.55538 | − | 13.0812i | −0.297664 | − | 0.593985i | ||||
\(486\) | −4.58952 | + | 6.31693i | −0.208185 | + | 0.286542i | ||||
\(487\) | −37.4040 | − | 5.92422i | −1.69494 | − | 0.268452i | −0.767126 | − | 0.641497i | \(-0.778314\pi\) |
−0.927813 | + | 0.373045i | \(0.878314\pi\) | |||||||
\(488\) | −73.7450 | − | 11.6801i | −3.33828 | − | 0.528731i | ||||
\(489\) | −21.5414 | − | 15.6507i | −0.974134 | − | 0.707750i | ||||
\(490\) | 13.0990 | + | 40.8785i | 0.591751 | + | 1.84670i | ||||
\(491\) | −17.7563 | + | 12.9007i | −0.801329 | + | 0.582199i | −0.911304 | − | 0.411735i | \(-0.864923\pi\) |
0.109975 | + | 0.993934i | \(0.464923\pi\) | |||||||
\(492\) | 5.04788 | − | 2.57202i | 0.227576 | − | 0.115956i | ||||
\(493\) | −21.7428 | − | 21.7428i | −0.979247 | − | 0.979247i | ||||
\(494\) | 12.3414 | + | 4.00996i | 0.555266 | + | 0.180417i | ||||
\(495\) | 0.463825 | − | 0.629505i | 0.0208474 | − | 0.0282941i | ||||
\(496\) | −68.2461 | + | 22.1745i | −3.06434 | + | 0.995665i | ||||
\(497\) | −3.46955 | − | 4.05153i | −0.155630 | − | 0.181736i | ||||
\(498\) | 15.9832 | − | 2.53149i | 0.716225 | − | 0.113439i | ||||
\(499\) | − | 32.5904i | − | 1.45895i | −0.684010 | − | 0.729473i | \(-0.739765\pi\) | ||
0.684010 | − | 0.729473i | \(-0.260235\pi\) | |||||||
\(500\) | −1.23816 | + | 61.7137i | −0.0553722 | + | 2.75992i | ||||
\(501\) | −19.9901 | −0.893094 | ||||||||
\(502\) | −63.7758 | + | 10.1011i | −2.84645 | + | 0.450834i | ||||
\(503\) | −16.5575 | + | 32.4960i | −0.738264 | + | 1.44892i | 0.149566 | + | 0.988752i | \(0.452212\pi\) |
−0.887830 | + | 0.460172i | \(0.847788\pi\) | |||||||
\(504\) | 0.541640 | − | 6.99969i | 0.0241266 | − | 0.311791i | ||||
\(505\) | 21.3981 | − | 29.0416i | 0.952203 | − | 1.29233i | ||||
\(506\) | 4.33452 | − | 13.3403i | 0.192693 | − | 0.593048i | ||||
\(507\) | −9.30654 | + | 9.30654i | −0.413318 | + | 0.413318i | ||||
\(508\) | 24.5651 | + | 48.2117i | 1.08990 | + | 2.13905i | ||||
\(509\) | −4.89876 | + | 3.55916i | −0.217134 | + | 0.157757i | −0.691036 | − | 0.722821i | \(-0.742845\pi\) |
0.473902 | + | 0.880578i | \(0.342845\pi\) | |||||||
\(510\) | 29.3211 | − | 56.6069i | 1.29836 | − | 2.50660i | ||||
\(511\) | 6.83436 | + | 11.1199i | 0.302334 | + | 0.491914i | ||||
\(512\) | −56.6741 | − | 8.97630i | −2.50467 | − | 0.396700i | ||||
\(513\) | −1.52538 | + | 9.63087i | −0.0673472 | + | 0.425214i | ||||
\(514\) | 23.4314 | + | 17.0239i | 1.03352 | + | 0.750894i | ||||
\(515\) | 3.74440 | − | 1.87644i | 0.164998 | − | 0.0826857i | ||||
\(516\) | 7.49781 | + | 10.3198i | 0.330073 | + | 0.454306i | ||||
\(517\) | −2.21130 | − | 4.33992i | −0.0972528 | − | 0.190869i | ||||
\(518\) | −7.28755 | − | 17.5286i | −0.320197 | − | 0.770161i | ||||
\(519\) | −24.3942 | − | 7.92615i | −1.07079 | − | 0.347919i | ||||
\(520\) | 16.2955 | − | 49.0343i | 0.714604 | − | 2.15029i | ||||
\(521\) | −0.688232 | + | 0.223620i | −0.0301520 | + | 0.00979698i | −0.324054 | − | 0.946039i | \(-0.605046\pi\) |
0.293902 | + | 0.955836i | \(0.405046\pi\) | |||||||
\(522\) | −1.83137 | + | 3.59428i | −0.0801571 | + | 0.157317i | ||||
\(523\) | −3.36711 | − | 21.2591i | −0.147233 | − | 0.929595i | −0.945105 | − | 0.326768i | \(-0.894041\pi\) |
0.797871 | − | 0.602828i | \(-0.205959\pi\) | |||||||
\(524\) | 55.1552 | 2.40946 | ||||||||
\(525\) | 23.3436 | − | 5.30738i | 1.01880 | − | 0.231633i | ||||
\(526\) | −37.8139 | −1.64876 | ||||||||
\(527\) | 4.17686 | + | 26.3717i | 0.181947 | + | 1.14877i | ||||
\(528\) | −16.1403 | + | 31.6771i | −0.702417 | + | 1.37857i | ||||
\(529\) | −6.50882 | + | 2.11484i | −0.282992 | + | 0.0919497i | ||||
\(530\) | −18.3888 | + | 13.1732i | −0.798756 | + | 0.572209i | ||||
\(531\) | −1.66894 | − | 0.542272i | −0.0724259 | − | 0.0235326i | ||||
\(532\) | −11.0875 | − | 26.6684i | −0.480703 | − | 1.15622i | ||||
\(533\) | −0.616075 | − | 1.20912i | −0.0266852 | − | 0.0523726i | ||||
\(534\) | 5.15539 | + | 7.09578i | 0.223095 | + | 0.307064i | ||||
\(535\) | −6.10543 | − | 40.2900i | −0.263961 | − | 1.74189i | ||||
\(536\) | 79.4387 | + | 57.7156i | 3.43123 | + | 2.49293i | ||||
\(537\) | −1.48046 | + | 9.34726i | −0.0638866 | + | 0.403364i | ||||
\(538\) | 26.4388 | + | 4.18749i | 1.13986 | + | 0.180536i | ||||
\(539\) | −8.79403 | + | 1.41652i | −0.378786 | + | 0.0610139i | ||||
\(540\) | 60.0675 | + | 9.92593i | 2.58489 | + | 0.427144i | ||||
\(541\) | 20.9790 | − | 15.2421i | 0.901957 | − | 0.655310i | −0.0370109 | − | 0.999315i | \(-0.511784\pi\) |
0.938968 | + | 0.344005i | \(0.111784\pi\) | |||||||
\(542\) | −7.84601 | − | 15.3987i | −0.337015 | − | 0.661429i | ||||
\(543\) | 4.05031 | − | 4.05031i | 0.173815 | − | 0.173815i | ||||
\(544\) | −40.8804 | + | 125.817i | −1.75273 | + | 5.39436i | ||||
\(545\) | 0.294710 | − | 44.0730i | 0.0126240 | − | 1.88788i | ||||
\(546\) | −31.3291 | − | 2.42426i | −1.34076 | − | 0.103749i | ||||
\(547\) | 14.3791 | − | 28.2206i | 0.614807 | − | 1.20663i | −0.348269 | − | 0.937395i | \(-0.613230\pi\) |
0.963075 | − | 0.269232i | \(-0.0867697\pi\) | |||||||
\(548\) | −38.6987 | + | 6.12928i | −1.65313 | + | 0.261830i | ||||
\(549\) | 2.12493 | 0.0906898 | ||||||||
\(550\) | −17.1957 | − | 2.95977i | −0.733225 | − | 0.126205i | ||||
\(551\) | 10.5833i | 0.450863i | ||||||||
\(552\) | −69.3713 | + | 10.9873i | −2.95264 | + | 0.467652i | ||||
\(553\) | −2.97097 | + | 2.54420i | −0.126339 | + | 0.108191i | ||||
\(554\) | −61.2131 | + | 19.8893i | −2.60069 | + | 0.845017i | ||||
\(555\) | −10.0902 | + | 3.20407i | −0.428305 | + | 0.136005i | ||||
\(556\) | 99.7283 | + | 32.4037i | 4.22942 | + | 1.37422i | ||||
\(557\) | 1.65763 | + | 1.65763i | 0.0702359 | + | 0.0702359i | 0.741352 | − | 0.671116i | \(-0.234185\pi\) |
−0.671116 | + | 0.741352i | \(0.734185\pi\) | |||||||
\(558\) | 3.12103 | − | 1.59024i | 0.132124 | − | 0.0673204i | ||||
\(559\) | 2.47190 | − | 1.79594i | 0.104550 | − | 0.0759603i | ||||
\(560\) | −84.5724 | + | 34.4998i | −3.57384 | + | 1.45788i | ||||
\(561\) | 10.7021 | + | 7.77552i | 0.451843 | + | 0.328283i | ||||
\(562\) | 10.4867 | + | 1.66092i | 0.442353 | + | 0.0700618i | ||||
\(563\) | −39.2418 | − | 6.21530i | −1.65385 | − | 0.261944i | −0.741377 | − | 0.671089i | \(-0.765827\pi\) |
−0.912469 | + | 0.409145i | \(0.865827\pi\) | |||||||
\(564\) | −22.4789 | + | 30.9395i | −0.946531 | + | 1.30279i | ||||
\(565\) | 15.6652 | − | 15.4571i | 0.659040 | − | 0.650284i | ||||
\(566\) | −45.9066 | − | 63.1850i | −1.92960 | − | 2.65587i | ||||
\(567\) | −2.05747 | − | 25.7110i | −0.0864057 | − | 1.07976i | ||||
\(568\) | 13.7656 | − | 13.7656i | 0.577591 | − | 0.577591i | ||||
\(569\) | 32.9101 | + | 10.6931i | 1.37966 | + | 0.448280i | 0.902559 | − | 0.430567i | \(-0.141686\pi\) |
0.477104 | + | 0.878847i | \(0.341686\pi\) | |||||||
\(570\) | −20.9127 | + | 6.64067i | −0.875935 | + | 0.278147i | ||||
\(571\) | −1.23822 | − | 3.81086i | −0.0518181 | − | 0.159480i | 0.921799 | − | 0.387669i | \(-0.126720\pi\) |
−0.973617 | + | 0.228189i | \(0.926720\pi\) | |||||||
\(572\) | 14.9800 | + | 7.63271i | 0.626347 | + | 0.319140i | ||||
\(573\) | 3.70084 | + | 23.3662i | 0.154605 | + | 0.976136i | ||||
\(574\) | −1.56952 | + | 3.80328i | −0.0655105 | + | 0.158746i | ||||
\(575\) | −8.88374 | − | 18.0273i | −0.370478 | − | 0.751792i | ||||
\(576\) | 8.86979 | 0.369575 | ||||||||
\(577\) | 6.04615 | − | 0.957616i | 0.251704 | − | 0.0398661i | −0.0293071 | − | 0.999570i | \(-0.509330\pi\) |
0.281012 | + | 0.959704i | \(0.409330\pi\) | |||||||
\(578\) | 39.0998 | + | 19.9223i | 1.62634 | + | 0.828660i | ||||
\(579\) | 6.60511 | + | 20.3284i | 0.274499 | + | 0.844821i | ||||
\(580\) | 66.0776 | + | 0.441851i | 2.74372 | + | 0.0183469i | ||||
\(581\) | −5.59422 | + | 6.56743i | −0.232087 | + | 0.272463i | ||||
\(582\) | −22.9629 | − | 22.9629i | −0.951844 | − | 0.951844i | ||||
\(583\) | −2.13097 | − | 4.18226i | −0.0882557 | − | 0.173212i | ||||
\(584\) | −38.5380 | + | 27.9995i | −1.59471 | + | 1.15863i | ||||
\(585\) | −0.239752 | + | 1.45087i | −0.00991251 | + | 0.0599863i | ||||
\(586\) | 44.5986 | − | 61.3847i | 1.84235 | − | 2.53578i | ||||
\(587\) | −2.26591 | + | 14.3064i | −0.0935240 | + | 0.590487i | 0.895766 | + | 0.444525i | \(0.146628\pi\) |
−0.989290 | + | 0.145962i | \(0.953372\pi\) | |||||||
\(588\) | 41.2562 | + | 56.4718i | 1.70138 | + | 2.32886i | ||||
\(589\) | 5.40164 | − | 7.43472i | 0.222571 | − | 0.306342i | ||||
\(590\) | 5.86700 | + | 38.7166i | 0.241541 | + | 1.59394i | ||||
\(591\) | 16.7263 | + | 23.0217i | 0.688026 | + | 0.946987i | ||||
\(592\) | 35.9901 | − | 18.3379i | 1.47918 | − | 0.753682i | ||||
\(593\) | −4.17872 | − | 4.17872i | −0.171600 | − | 0.171600i | 0.616082 | − | 0.787682i | \(-0.288719\pi\) |
−0.787682 | + | 0.616082i | \(0.788719\pi\) | |||||||
\(594\) | −5.31815 | + | 16.3676i | −0.218207 | + | 0.671571i | ||||
\(595\) | 7.75618 | + | 33.0891i | 0.317972 | + | 1.35652i | ||||
\(596\) | −21.1695 | − | 65.1531i | −0.867138 | − | 2.66878i | ||||
\(597\) | −5.55933 | + | 10.9108i | −0.227528 | + | 0.446549i | ||||
\(598\) | 4.12672 | + | 26.0551i | 0.168754 | + | 1.06547i | ||||
\(599\) | − | 24.9222i | − | 1.01829i | −0.860680 | − | 0.509146i | \(-0.829961\pi\) | ||
0.860680 | − | 0.509146i | \(-0.170039\pi\) | |||||||
\(600\) | 25.8850 | + | 83.4470i | 1.05675 | + | 3.40671i | ||||
\(601\) | − | 24.9299i | − | 1.01691i | −0.861088 | − | 0.508457i | \(-0.830216\pi\) | ||
0.861088 | − | 0.508457i | \(-0.169784\pi\) | |||||||
\(602\) | −9.01077 | − | 2.15078i | −0.367252 | − | 0.0876594i | ||||
\(603\) | −2.48993 | − | 1.26868i | −0.101398 | − | 0.0516648i | ||||
\(604\) | −23.2729 | + | 7.56181i | −0.946959 | + | 0.307686i | ||||
\(605\) | −6.61522 | + | 19.9056i | −0.268947 | + | 0.809280i | ||||
\(606\) | 24.7408 | − | 76.1445i | 1.00503 | − | 3.09316i | ||||
\(607\) | −14.9544 | + | 14.9544i | −0.606981 | + | 0.606981i | −0.942156 | − | 0.335175i | \(-0.891205\pi\) |
0.335175 | + | 0.942156i | \(0.391205\pi\) | |||||||
\(608\) | 40.5699 | − | 20.6714i | 1.64533 | − | 0.838336i | ||||
\(609\) | −6.01535 | − | 24.9116i | −0.243754 | − | 1.00947i | ||||
\(610\) | −21.2440 | − | 42.3921i | −0.860145 | − | 1.71641i | ||||
\(611\) | 7.41092 | + | 5.38435i | 0.299814 | + | 0.217827i | ||||
\(612\) | 1.36346 | − | 8.60853i | 0.0551145 | − | 0.347979i | ||||
\(613\) | −5.74777 | + | 36.2900i | −0.232150 | + | 1.46574i | 0.546067 | + | 0.837742i | \(0.316125\pi\) |
−0.778217 | + | 0.627996i | \(0.783875\pi\) | |||||||
\(614\) | 14.3991 | + | 10.4615i | 0.581099 | + | 0.422193i | ||||
\(615\) | 2.03746 | + | 1.05536i | 0.0821581 | + | 0.0425560i | ||||
\(616\) | −7.63048 | − | 31.6004i | −0.307441 | − | 1.27322i | ||||
\(617\) | −29.3359 | + | 14.9474i | −1.18102 | + | 0.601759i | −0.930478 | − | 0.366347i | \(-0.880608\pi\) |
−0.250540 | + | 0.968106i | \(0.580608\pi\) | |||||||
\(618\) | 6.57300 | − | 6.57300i | 0.264405 | − | 0.264405i | ||||
\(619\) | −2.83307 | + | 8.71930i | −0.113871 | + | 0.350458i | −0.991710 | − | 0.128498i | \(-0.958985\pi\) |
0.877839 | + | 0.478956i | \(0.158985\pi\) | |||||||
\(620\) | −46.1938 | − | 34.0360i | −1.85519 | − | 1.36692i | ||||
\(621\) | −18.8524 | + | 6.12551i | −0.756520 | + | 0.245808i | ||||
\(622\) | 67.8264 | + | 34.5593i | 2.71959 | + | 1.38570i | ||||
\(623\) | −4.54810 | − | 1.08559i | −0.182216 | − | 0.0434932i | ||||
\(624\) | − | 66.8619i | − | 2.67662i | ||||||
\(625\) | −20.6112 | + | 14.1485i | −0.824447 | + | 0.565939i | ||||
\(626\) | − | 50.4568i | − | 2.01666i | ||||||
\(627\) | −0.712251 | − | 4.49698i | −0.0284446 | − | 0.179592i | ||||
\(628\) | 61.4855 | − | 120.672i | 2.45354 | − | 4.81534i | ||||
\(629\) | −4.64441 | − | 14.2940i | −0.185185 | − | 0.569940i | ||||
\(630\) | 3.81405 | − | 2.30916i | 0.151956 | − | 0.0919990i | ||||
\(631\) | 5.41999 | − | 16.6810i | 0.215767 | − | 0.664061i | −0.783332 | − | 0.621604i | \(-0.786481\pi\) |
0.999098 | − | 0.0424572i | \(-0.0135186\pi\) | |||||||
\(632\) | −10.0942 | − | 10.0942i | −0.401527 | − | 0.401527i | ||||
\(633\) | 2.46015 | − | 1.25351i | 0.0977823 | − | 0.0498225i | ||||
\(634\) | −31.6898 | − | 43.6172i | −1.25856 | − | 1.73226i | ||||
\(635\) | −10.0796 | + | 19.4595i | −0.399995 | + | 0.772225i | ||||
\(636\) | −21.6623 | + | 29.8156i | −0.858965 | + | 1.18226i | ||||
\(637\) | 13.5267 | − | 9.88207i | 0.535945 | − | 0.391542i | ||||
\(638\) | −2.92204 | + | 18.4490i | −0.115685 | + | 0.730404i | ||||
\(639\) | −0.325657 | + | 0.448228i | −0.0128828 | + | 0.0177316i | ||||
\(640\) | −42.5354 | − | 84.8788i | −1.68136 | − | 3.35513i | ||||
\(641\) | 3.69817 | − | 2.68688i | 0.146069 | − | 0.106125i | −0.512351 | − | 0.858776i | \(-0.671225\pi\) |
0.658420 | + | 0.752651i | \(0.271225\pi\) | |||||||
\(642\) | −41.0600 | − | 80.5848i | −1.62051 | − | 3.18043i | ||||
\(643\) | 4.70829 | + | 4.70829i | 0.185677 | + | 0.185677i | 0.793824 | − | 0.608147i | \(-0.208087\pi\) |
−0.608147 | + | 0.793824i | \(0.708087\pi\) | |||||||
\(644\) | 38.0723 | − | 44.6956i | 1.50026 | − | 1.76125i | ||||
\(645\) | −1.62932 | + | 4.90273i | −0.0641544 | + | 0.193045i | ||||
\(646\) | −9.62588 | − | 29.6254i | −0.378725 | − | 1.16560i | ||||
\(647\) | −29.0851 | − | 14.8196i | −1.14345 | − | 0.582618i | −0.223521 | − | 0.974699i | \(-0.571755\pi\) |
−0.919931 | + | 0.392081i | \(0.871755\pi\) | |||||||
\(648\) | 92.9764 | − | 14.7260i | 3.65246 | − | 0.578492i | ||||
\(649\) | −8.12565 | −0.318960 | ||||||||
\(650\) | 31.3417 | − | 9.72212i | 1.22932 | − | 0.381333i | ||||
\(651\) | −8.48894 | + | 20.5705i | −0.332708 | + | 0.806221i | ||||
\(652\) | 12.7078 | + | 80.2337i | 0.497674 | + | 3.14219i | ||||
\(653\) | 13.9117 | + | 7.08835i | 0.544406 | + | 0.277389i | 0.704489 | − | 0.709715i | \(-0.251176\pi\) |
−0.160083 | + | 0.987104i | \(0.551176\pi\) | |||||||
\(654\) | −30.2280 | − | 93.0323i | −1.18201 | − | 3.63785i | ||||
\(655\) | 13.0092 | + | 18.1597i | 0.508311 | + | 0.709560i | ||||
\(656\) | −8.32622 | − | 2.70535i | −0.325084 | − | 0.105626i | ||||
\(657\) | 0.958625 | − | 0.958625i | 0.0373995 | − | 0.0373995i | ||||
\(658\) | −2.21546 | − | 27.6852i | −0.0863675 | − | 1.07928i | ||||
\(659\) | 9.91521 | + | 13.6471i | 0.386242 | + | 0.531616i | 0.957225 | − | 0.289346i | \(-0.0934377\pi\) |
−0.570983 | + | 0.820962i | \(0.693438\pi\) | |||||||
\(660\) | −28.1070 | + | 4.25925i | −1.09406 | + | 0.165791i | ||||
\(661\) | −14.4648 | + | 19.9091i | −0.562614 | + | 0.774372i | −0.991656 | − | 0.128912i | \(-0.958851\pi\) |
0.429042 | + | 0.903285i | \(0.358851\pi\) | |||||||
\(662\) | 61.4644 | + | 9.73500i | 2.38888 | + | 0.378362i | ||||
\(663\) | −24.5722 | − | 3.89186i | −0.954306 | − | 0.151147i | ||||
\(664\) | −25.4724 | − | 18.5068i | −0.988519 | − | 0.718201i | ||||
\(665\) | 6.16539 | − | 9.94070i | 0.239083 | − | 0.385484i | ||||
\(666\) | −1.59516 | + | 1.15895i | −0.0618113 | + | 0.0449086i | ||||
\(667\) | −19.1697 | + | 9.76746i | −0.742254 | + | 0.378197i | ||||
\(668\) | 43.1243 | + | 43.1243i | 1.66853 | + | 1.66853i | ||||
\(669\) | 38.9682 | + | 12.6615i | 1.50660 | + | 0.489523i | ||||
\(670\) | −0.416976 | + | 62.3576i | −0.0161092 | + | 2.40908i | ||||
\(671\) | 9.35780 | − | 3.04053i | 0.361254 | − | 0.117379i | ||||
\(672\) | −83.7465 | + | 71.7167i | −3.23059 | + | 2.76653i | ||||
\(673\) | −31.9277 | + | 5.05685i | −1.23072 | + | 0.194927i | −0.737724 | − | 0.675103i | \(-0.764099\pi\) |
−0.492999 | + | 0.870030i | \(0.664099\pi\) | |||||||
\(674\) | 21.8727i | 0.842504i | ||||||||
\(675\) | 10.8997 | + | 22.1183i | 0.419531 | + | 0.851333i | ||||
\(676\) | 40.1536 | 1.54437 | ||||||||
\(677\) | 40.6196 | − | 6.43352i | 1.56114 | − | 0.247260i | 0.684719 | − | 0.728807i | \(-0.259925\pi\) |
0.876420 | + | 0.481547i | \(0.159925\pi\) | |||||||
\(678\) | 22.1747 | − | 43.5202i | 0.851613 | − | 1.67138i | ||||
\(679\) | 17.2610 | + | 1.33566i | 0.662416 | + | 0.0512581i | ||||
\(680\) | −118.219 | + | 37.5396i | −4.53349 | + | 1.43958i | ||||
\(681\) | 6.83614 | − | 21.0395i | 0.261962 | − | 0.806235i | ||||
\(682\) | 11.4690 | − | 11.4690i | 0.439170 | − | 0.439170i | ||||
\(683\) | −13.6554 | − | 26.8002i | −0.522508 | − | 1.02548i | −0.989945 | − | 0.141453i | \(-0.954823\pi\) |
0.467437 | − | 0.884026i | \(-0.345177\pi\) | |||||||
\(684\) | −2.42693 | + | 1.76327i | −0.0927959 | + | 0.0674201i | ||||
\(685\) | −11.1457 | − | 11.2958i | −0.425857 | − | 0.431591i | ||||
\(686\) | −49.4336 | − | 11.6622i | −1.88738 | − | 0.445264i | ||||
\(687\) | 41.6660 | + | 6.59925i | 1.58966 | + | 0.251777i | ||||
\(688\) | 3.08362 | − | 19.4692i | 0.117562 | − | 0.742257i | ||||
\(689\) | 7.14170 | + | 5.18875i | 0.272077 | + | 0.197675i | ||||
\(690\) | −31.3289 | − | 31.7508i | −1.19267 | − | 1.20873i | ||||
\(691\) | −1.04086 | − | 1.43262i | −0.0395960 | − | 0.0544993i | 0.788760 | − | 0.614701i | \(-0.210723\pi\) |
−0.828356 | + | 0.560202i | \(0.810723\pi\) | |||||||
\(692\) | 35.5261 | + | 69.7240i | 1.35050 | + | 2.65051i | ||||
\(693\) | 0.355176 | + | 0.854297i | 0.0134920 | + | 0.0324521i | ||||
\(694\) | −36.8867 | − | 11.9852i | −1.40020 | − | 0.454952i | ||||
\(695\) | 12.8536 | + | 40.4783i | 0.487564 | + | 1.53543i | ||||
\(696\) | 88.9531 | − | 28.9026i | 3.37176 | − | 1.09555i | ||||
\(697\) | −1.47888 | + | 2.90247i | −0.0560167 | + | 0.109939i | ||||
\(698\) | 2.94902 | + | 18.6194i | 0.111622 | + | 0.704753i | ||||
\(699\) | −30.7759 | −1.16405 | ||||||||
\(700\) | −61.8081 | − | 38.9091i | −2.33613 | − | 1.47063i | ||||
\(701\) | −14.6109 | −0.551846 | −0.275923 | − | 0.961180i | \(-0.588983\pi\) | ||||
−0.275923 | + | 0.961180i | \(0.588983\pi\) | |||||||
\(702\) | −5.06319 | − | 31.9678i | −0.191098 | − | 1.20654i | ||||
\(703\) | −2.34847 | + | 4.60913i | −0.0885741 | + | 0.173837i | ||||
\(704\) | 39.0609 | − | 12.6917i | 1.47216 | − | 0.478335i | ||||
\(705\) | −15.4888 | − | 0.103571i | −0.583341 | − | 0.00390072i | ||||
\(706\) | −69.1389 | − | 22.4646i | −2.60208 | − | 0.845466i | ||||
\(707\) | 16.3857 | + | 39.4122i | 0.616248 | + | 1.48225i | ||||
\(708\) | 28.9641 | + | 56.8452i | 1.08854 | + | 2.13637i | ||||
\(709\) | −10.9862 | − | 15.1212i | −0.412596 | − | 0.567890i | 0.551253 | − | 0.834338i | \(-0.314150\pi\) |
−0.963849 | + | 0.266448i | \(0.914150\pi\) | |||||||
\(710\) | 12.1979 | + | 2.01565i | 0.457778 | + | 0.0756461i | ||||
\(711\) | 0.328684 | + | 0.238803i | 0.0123266 | + | 0.00895580i | ||||
\(712\) | 2.66958 | − | 16.8551i | 0.100047 | − | 0.631670i | ||||
\(713\) | 18.4519 | + | 2.92249i | 0.691029 | + | 0.109448i | ||||
\(714\) | 39.4965 | + | 64.2629i | 1.47812 | + | 2.40498i | ||||
\(715\) | 1.02021 | + | 6.73244i | 0.0381539 | + | 0.251779i | ||||
\(716\) | 23.3584 | − | 16.9709i | 0.872945 | − | 0.634231i | ||||
\(717\) | 15.2129 | + | 29.8570i | 0.568136 | + | 1.11503i | ||||
\(718\) | −28.0459 | + | 28.0459i | −1.04666 | + | 1.04666i | ||||
\(719\) | −7.45800 | + | 22.9534i | −0.278137 | + | 0.856016i | 0.710236 | + | 0.703964i | \(0.248588\pi\) |
−0.988372 | + | 0.152053i | \(0.951412\pi\) | |||||||
\(720\) | 5.52494 | + | 7.71235i | 0.205902 | + | 0.287422i | ||||
\(721\) | −0.382326 | + | 4.94085i | −0.0142386 | + | 0.184007i | ||||
\(722\) | 18.7884 | − | 36.8743i | 0.699231 | − | 1.37232i | ||||
\(723\) | −15.0768 | + | 2.38794i | −0.560714 | + | 0.0888083i | ||||
\(724\) | −17.4753 | −0.649464 | ||||||||
\(725\) | 15.4399 | + | 21.8602i | 0.573425 | + | 0.811866i | ||||
\(726\) | 46.5552i | 1.72783i | ||||||||
\(727\) | 34.9343 | − | 5.53306i | 1.29564 | − | 0.205210i | 0.529737 | − | 0.848162i | \(-0.322291\pi\) |
0.765906 | + | 0.642952i | \(0.222291\pi\) | |||||||
\(728\) | 39.7670 | + | 46.4376i | 1.47386 | + | 1.72109i | ||||
\(729\) | 22.9151 | − | 7.44557i | 0.848708 | − | 0.275762i | ||||
\(730\) | −28.7083 | − | 9.54060i | −1.06254 | − | 0.353114i | ||||
\(731\) | −6.97559 | − | 2.26651i | −0.258001 | − | 0.0838297i | ||||
\(732\) | −54.6270 | − | 54.6270i | −2.01907 | − | 2.01907i | ||||
\(733\) | −14.9306 | + | 7.60751i | −0.551474 | + | 0.280990i | −0.707441 | − | 0.706772i | \(-0.750150\pi\) |
0.155967 | + | 0.987762i | \(0.450150\pi\) | |||||||
\(734\) | −56.9592 | + | 41.3833i | −2.10240 | + | 1.52749i | ||||
\(735\) | −8.86234 | + | 26.9033i | −0.326892 | + | 0.992343i | ||||
\(736\) | 74.8850 | + | 54.4071i | 2.76030 | + | 2.00547i | ||||
\(737\) | −12.7805 | − | 2.02424i | −0.470778 | − | 0.0745638i | ||||
\(738\) | 0.422092 | + | 0.0668528i | 0.0155374 | + | 0.00246088i | ||||
\(739\) | −7.82762 | + | 10.7738i | −0.287943 | + | 0.396320i | −0.928345 | − | 0.371720i | \(-0.878768\pi\) |
0.640401 | + | 0.768040i | \(0.278768\pi\) | |||||||
\(740\) | 28.6794 | + | 14.8553i | 1.05428 | + | 0.546091i | ||||
\(741\) | 5.03307 | + | 6.92743i | 0.184894 | + | 0.254485i | ||||
\(742\) | −2.13498 | − | 26.6795i | −0.0783774 | − | 0.979435i | ||||
\(743\) | 12.9547 | − | 12.9547i | 0.475261 | − | 0.475261i | −0.428351 | − | 0.903612i | \(-0.640905\pi\) |
0.903612 | + | 0.428351i | \(0.140905\pi\) | |||||||
\(744\) | −77.2410 | − | 25.0971i | −2.83179 | − | 0.920105i | ||||
\(745\) | 16.4584 | − | 22.3374i | 0.602989 | − | 0.818379i | ||||
\(746\) | −9.45471 | − | 29.0986i | −0.346162 | − | 1.06538i | ||||
\(747\) | 0.798407 | + | 0.406809i | 0.0292122 | + | 0.0148844i | ||||
\(748\) | −6.31342 | − | 39.8614i | −0.230842 | − | 1.45748i | ||||
\(749\) | 44.5700 | + | 18.3930i | 1.62855 | + | 0.672065i | ||||
\(750\) | −33.5078 | + | 44.2260i | −1.22353 | + | 1.61490i | ||||
\(751\) | 51.6217 | 1.88370 | 0.941852 | − | 0.336029i | \(-0.109084\pi\) | ||||
0.941852 | + | 0.336029i | \(0.109084\pi\) | |||||||
\(752\) | 58.3699 | − | 9.24488i | 2.12853 | − | 0.337126i | ||||
\(753\) | −37.9641 | − | 19.3437i | −1.38349 | − | 0.704923i | ||||
\(754\) | −10.8555 | − | 33.4098i | −0.395334 | − | 1.21671i | ||||
\(755\) | −7.97897 | − | 5.87898i | −0.290385 | − | 0.213958i | ||||
\(756\) | −46.7121 | + | 54.8385i | −1.69890 | + | 1.99446i | ||||
\(757\) | −25.6606 | − | 25.6606i | −0.932652 | − | 0.932652i | 0.0652194 | − | 0.997871i | \(-0.479225\pi\) |
−0.997871 | + | 0.0652194i | \(0.979225\pi\) | |||||||
\(758\) | −8.50389 | − | 16.6898i | −0.308875 | − | 0.606202i | ||||
\(759\) | 7.48812 | − | 5.44043i | 0.271801 | − | 0.197475i | ||||
\(760\) | 37.9076 | + | 19.6353i | 1.37505 | + | 0.712247i | ||||
\(761\) | −15.8529 | + | 21.8197i | −0.574668 | + | 0.790962i | −0.993098 | − | 0.117286i | \(-0.962580\pi\) |
0.418430 | + | 0.908249i | \(0.362580\pi\) | |||||||
\(762\) | −7.60885 | + | 48.0404i | −0.275639 | + | 1.74032i | ||||
\(763\) | 44.5002 | + | 27.1894i | 1.61101 | + | 0.984323i | ||||
\(764\) | 42.4236 | − | 58.3911i | 1.53483 | − | 2.11252i | ||||
\(765\) | 3.15594 | − | 1.58154i | 0.114103 | − | 0.0571807i | ||||
\(766\) | 36.6805 | + | 50.4864i | 1.32532 | + | 1.82415i | ||||
\(767\) | 13.6161 | − | 6.93775i | 0.491649 | − | 0.250508i | ||||
\(768\) | −66.3956 | − | 66.3956i | −2.39585 | − | 2.39585i | ||||
\(769\) | 0.000744923 | − | 0.00229264i | 2.68626e−5 | − | 8.26747e-5i | −0.951043 | − | 0.309058i | \(-0.899986\pi\) |
0.951070 | + | 0.308976i | \(0.0999862\pi\) | |||||||
\(770\) | 13.4923 | − | 15.6266i | 0.486227 | − | 0.563143i | ||||
\(771\) | 5.90582 | + | 18.1762i | 0.212693 | + | 0.654601i | ||||
\(772\) | 29.6050 | − | 58.1032i | 1.06551 | − | 2.09118i | ||||
\(773\) | 6.09548 | + | 38.4853i | 0.219239 | + | 1.38422i | 0.814255 | + | 0.580507i | \(0.197146\pi\) |
−0.595016 | + | 0.803714i | \(0.702854\pi\) | |||||||
\(774\) | 0.962219i | 0.0345863i | ||||||||
\(775\) | 0.310781 | − | 23.2371i | 0.0111636 | − | 0.834702i | ||||
\(776\) | 63.1844i | 2.26819i | ||||||||
\(777\) | 2.90822 | − | 12.1841i | 0.104332 | − | 0.437101i | ||||
\(778\) | 69.2642 | + | 35.2919i | 2.48324 | + | 1.26528i | ||||
\(779\) | 1.06631 | − | 0.346465i | 0.0382045 | − | 0.0124134i | ||||
\(780\) | 43.4621 | − | 31.1352i | 1.55619 | − | 1.11482i | ||||
\(781\) | −0.792770 | + | 2.43989i | −0.0283675 | + | 0.0873063i | ||||
\(782\) | 44.7773 | − | 44.7773i | 1.60123 | − | 1.60123i | ||||
\(783\) | 23.5199 | − | 11.9840i | 0.840533 | − | 0.428273i | ||||
\(784\) | 16.6260 | − | 106.787i | 0.593785 | − | 3.81381i | ||||
\(785\) | 54.2334 | − | 8.21837i | 1.93567 | − | 0.293326i | ||||
\(786\) | 40.1106 | + | 29.1421i | 1.43070 | + | 1.03946i | ||||
\(787\) | −3.00928 | + | 18.9998i | −0.107269 | + | 0.677271i | 0.874188 | + | 0.485588i | \(0.161395\pi\) |
−0.981457 | + | 0.191683i | \(0.938605\pi\) | |||||||
\(788\) | 13.5811 | − | 85.7475i | 0.483806 | − | 3.05463i | ||||
\(789\) | −20.1867 | − | 14.6665i | −0.718665 | − | 0.522141i | ||||
\(790\) | 1.47807 | − | 8.94465i | 0.0525874 | − | 0.318236i | ||||
\(791\) | 6.11201 | + | 25.3119i | 0.217318 | + | 0.899987i | ||||
\(792\) | −3.00856 | + | 1.53294i | −0.106905 | + | 0.0544706i | ||||
\(793\) | −13.0848 | + | 13.0848i | −0.464654 | + | 0.464654i | ||||
\(794\) | 7.19304 | − | 22.1379i | 0.255271 | − | 0.785645i | ||||
\(795\) | −14.9261 | − | 0.0998086i | −0.529374 | − | 0.00353985i | ||||
\(796\) | 35.5307 | − | 11.5446i | 1.25935 | − | 0.409188i | ||||
\(797\) | −8.73567 | − | 4.45104i | −0.309433 | − | 0.157664i | 0.292377 | − | 0.956303i | \(-0.405554\pi\) |
−0.601810 | + | 0.798639i | \(0.705554\pi\) | |||||||
\(798\) | 6.02750 | − | 25.2524i | 0.213371 | − | 0.893924i | ||||
\(799\) | − | 21.9895i | − | 0.777932i | ||||||
\(800\) | 53.6411 | − | 101.885i | 1.89650 | − | 3.60217i | ||||
\(801\) | 0.485671i | 0.0171603i | ||||||||
\(802\) | 2.28521 | + | 14.4282i | 0.0806935 | + | 0.509479i | ||||
\(803\) | 2.84993 | − | 5.59329i | 0.100572 | − | 0.197383i | ||||
\(804\) | 31.3955 | + | 96.6253i | 1.10723 | + | 3.40771i | ||||
\(805\) | 23.6959 | + | 1.99308i | 0.835171 | + | 0.0702470i | ||||
\(806\) | −9.42618 | + | 29.0108i | −0.332023 | + | 1.02186i | ||||
\(807\) | 12.4900 | + | 12.4900i | 0.439669 | + | 0.439669i | ||||
\(808\) | −138.797 | + | 70.7207i | −4.88287 | + | 2.48794i | ||||
\(809\) | −7.86434 | − | 10.8243i | −0.276496 | − | 0.380564i | 0.648074 | − | 0.761578i | \(-0.275575\pi\) |
−0.924569 | + | 0.381014i | \(0.875575\pi\) | |||||||
\(810\) | 41.9893 | + | 42.5546i | 1.47535 | + | 1.49522i | ||||
\(811\) | 31.7377 | − | 43.6833i | 1.11446 | − | 1.53393i | 0.299791 | − | 0.954005i | \(-0.403083\pi\) |
0.814672 | − | 0.579922i | \(-0.196917\pi\) | |||||||
\(812\) | −40.7644 | + | 66.7180i | −1.43055 | + | 2.34134i | ||||
\(813\) | 1.78398 | − | 11.2636i | 0.0625670 | − | 0.395033i | ||||
\(814\) | −5.36648 | + | 7.38632i | −0.188095 | + | 0.258890i | ||||
\(815\) | −23.4195 | + | 23.1083i | −0.820348 | + | 0.809450i | ||||
\(816\) | −129.848 | + | 94.3404i | −4.54560 | + | 3.30257i | ||||
\(817\) | 1.14607 | + | 2.24929i | 0.0400959 | + | 0.0786926i | ||||
\(818\) | −56.6169 | − | 56.6169i | −1.97957 | − | 1.97957i | ||||
\(819\) | −1.32457 | − | 1.12829i | −0.0462843 | − | 0.0394255i | ||||
\(820\) | −2.11866 | − | 6.67206i | −0.0739870 | − | 0.232998i | ||||
\(821\) | −17.6502 | − | 54.3217i | −0.615996 | − | 1.89584i | −0.385164 | − | 0.922848i | \(-0.625855\pi\) |
−0.230832 | − | 0.972994i | \(-0.574145\pi\) | |||||||
\(822\) | −31.3814 | − | 15.9896i | −1.09455 | − | 0.557703i | ||||
\(823\) | −4.22013 | + | 0.668403i | −0.147104 | + | 0.0232991i | −0.229552 | − | 0.973296i | \(-0.573726\pi\) |
0.0824479 | + | 0.996595i | \(0.473726\pi\) | |||||||
\(824\) | −18.0862 | −0.630061 | ||||||||
\(825\) | −8.03181 | − | 8.24956i | −0.279632 | − | 0.287213i | ||||
\(826\) | −42.8295 | − | 17.6747i | −1.49023 | − | 0.614981i | ||||
\(827\) | 6.31560 | + | 39.8752i | 0.219615 | + | 1.38659i | 0.813275 | + | 0.581879i | \(0.197682\pi\) |
−0.593660 | + | 0.804716i | \(0.702318\pi\) | |||||||
\(828\) | −5.43368 | − | 2.76860i | −0.188833 | − | 0.0962155i | ||||
\(829\) | 5.79292 | + | 17.8288i | 0.201196 | + | 0.619219i | 0.999848 | + | 0.0174253i | \(0.00554693\pi\) |
−0.798652 | + | 0.601793i | \(0.794453\pi\) | |||||||
\(830\) | 0.133705 | − | 19.9952i | 0.00464098 | − | 0.694045i | ||||
\(831\) | −40.3925 | − | 13.1243i | −1.40120 | − | 0.455277i | ||||
\(832\) | −54.6179 | + | 54.6179i | −1.89353 | + | 1.89353i | ||||
\(833\) | −38.2771 | − | 12.3259i | −1.32622 | − | 0.427069i | ||||
\(834\) | 55.4046 | + | 76.2579i | 1.91850 | + | 2.64060i | ||||
\(835\) | −4.02708 | + | 24.3701i | −0.139363 | + | 0.843363i | ||||
\(836\) | −8.16471 | + | 11.2378i | −0.282382 | + | 0.388666i | ||||
\(837\) | −22.6392 | − | 3.58570i | −0.782526 | − | 0.123940i | ||||
\(838\) | 61.7414 | + | 9.77888i | 2.13282 | + | 0.337806i | ||||
\(839\) | 1.18728 | + | 0.862610i | 0.0409895 | + | 0.0297806i | 0.608091 | − | 0.793867i | \(-0.291935\pi\) |
−0.567102 | + | 0.823648i | \(0.691935\pi\) | |||||||
\(840\) | −100.390 | − | 24.6727i | −3.46377 | − | 0.851289i | ||||
\(841\) | −0.282885 | + | 0.205528i | −0.00975464 | + | 0.00708716i | ||||
\(842\) | −8.54663 | + | 4.35472i | −0.294536 | + | 0.150074i | ||||
\(843\) | 4.95403 | + | 4.95403i | 0.170626 | + | 0.170626i | ||||
\(844\) | −8.01140 | − | 2.60306i | −0.275764 | − | 0.0896011i | ||||
\(845\) | 9.47085 | + | 13.2205i | 0.325807 | + | 0.454799i | ||||
\(846\) | −2.74360 | + | 0.891449i | −0.0943269 | + | 0.0306487i | ||||
\(847\) | −16.1436 | − | 18.8515i | −0.554700 | − | 0.647745i | ||||
\(848\) | 56.2494 | − | 8.90904i | 1.93161 | − | 0.305938i | ||||
\(849\) | − | 51.5363i | − | 1.76872i | ||||||
\(850\) | −63.1031 | − | 47.1492i | −2.16442 | − | 1.61720i | ||||
\(851\) | −10.5160 | −0.360485 | ||||||||
\(852\) | 19.8948 | − | 3.15103i | 0.681585 | − | 0.107952i | ||||
\(853\) | −16.4129 | + | 32.2121i | −0.561966 | + | 1.10292i | 0.418863 | + | 0.908050i | \(0.362429\pi\) |
−0.980829 | + | 0.194871i | \(0.937571\pi\) | |||||||
\(854\) | 55.9377 | + | 4.32849i | 1.91415 | + | 0.148118i | ||||
\(855\) | −1.15298 | − | 0.383168i | −0.0394311 | − | 0.0131041i | ||||
\(856\) | −54.3779 | + | 167.358i | −1.85860 | + | 5.72017i | ||||
\(857\) | 18.5857 | − | 18.5857i | 0.634875 | − | 0.634875i | −0.314411 | − | 0.949287i | \(-0.601807\pi\) |
0.949287 | + | 0.314411i | \(0.101807\pi\) | |||||||
\(858\) | 6.86110 | + | 13.4657i | 0.234234 | + | 0.459710i | ||||
\(859\) | −28.2666 | + | 20.5369i | −0.964443 | + | 0.700709i | −0.954178 | − | 0.299238i | \(-0.903267\pi\) |
−0.0102649 | + | 0.999947i | \(0.503267\pi\) | |||||||
\(860\) | 14.0915 | − | 7.06167i | 0.480515 | − | 0.240801i | ||||
\(861\) | −2.31302 | + | 1.42160i | −0.0788274 | + | 0.0484480i | ||||
\(862\) | 24.4839 | + | 3.87787i | 0.833926 | + | 0.132081i | ||||
\(863\) | 1.25346 | − | 7.91402i | 0.0426682 | − | 0.269396i | −0.957126 | − | 0.289671i | \(-0.906454\pi\) |
0.999794 | + | 0.0202747i | \(0.00645407\pi\) | |||||||
\(864\) | −91.8787 | − | 66.7538i | −3.12578 | − | 2.27101i | ||||
\(865\) | −14.5771 | + | 28.1424i | −0.495637 | + | 0.956870i | ||||
\(866\) | −1.08262 | − | 1.49010i | −0.0367890 | − | 0.0506357i | ||||
\(867\) | 13.1461 | + | 25.8007i | 0.446465 | + | 0.876237i | ||||
\(868\) | 62.6893 | − | 26.0632i | 2.12781 | − | 0.884644i | ||||
\(869\) | 1.78916 | + | 0.581334i | 0.0606932 | + | 0.0197204i | ||||
\(870\) | 47.8203 | + | 35.2344i | 1.62126 | + | 1.19456i | ||||
\(871\) | 23.1446 | − | 7.52013i | 0.784225 | − | 0.254810i | ||||
\(872\) | −86.4055 | + | 169.580i | −2.92606 | + | 5.74272i | ||||
\(873\) | −0.281303 | − | 1.77608i | −0.00952066 | − | 0.0601111i | ||||
\(874\) | −21.7953 | −0.737236 | ||||||||
\(875\) | −1.76764 | − | 29.5275i | −0.0597571 | − | 0.998213i | ||||
\(876\) | −49.2881 | −1.66529 | ||||||||
\(877\) | −8.49385 | − | 53.6281i | −0.286817 | − | 1.81089i | −0.537992 | − | 0.842950i | \(-0.680817\pi\) |
0.251175 | − | 0.967942i | \(-0.419183\pi\) | |||||||
\(878\) | −2.51518 | + | 4.93633i | −0.0848833 | + | 0.166593i | ||||
\(879\) | 47.6173 | − | 15.4718i | 1.60609 | − | 0.521851i | ||||
\(880\) | 35.3663 | + | 26.0582i | 1.19220 | + | 0.878423i | ||||
\(881\) | 11.3689 | + | 3.69397i | 0.383027 | + | 0.124453i | 0.494200 | − | 0.869348i | \(-0.335461\pi\) |
−0.111173 | + | 0.993801i | \(0.535461\pi\) | |||||||
\(882\) | 0.0138547 | + | 5.27548i | 0.000466513 | + | 0.177635i | ||||
\(883\) | −26.0717 | − | 51.1685i | −0.877381 | − | 1.72196i | −0.668056 | − | 0.744111i | \(-0.732873\pi\) |
−0.209326 | − | 0.977846i | \(-0.567127\pi\) | |||||||
\(884\) | 44.6133 | + | 61.4050i | 1.50051 | + | 2.06527i | ||||
\(885\) | −11.8846 | + | 22.9442i | −0.399495 | + | 0.771261i | ||||
\(886\) | −20.2231 | − | 14.6929i | −0.679407 | − | 0.493618i | ||||
\(887\) | 6.10152 | − | 38.5235i | 0.204869 | − | 1.29349i | −0.644056 | − | 0.764978i | \(-0.722750\pi\) |
0.848925 | − | 0.528513i | \(-0.177250\pi\) | |||||||
\(888\) | 45.1536 | + | 7.15162i | 1.51525 | + | 0.239993i | ||||
\(889\) | −13.5775 | − | 22.0913i | −0.455375 | − | 0.740919i | ||||
\(890\) | 9.68909 | − | 4.85551i | 0.324779 | − | 0.162757i | ||||
\(891\) | −10.0361 | + | 7.29166i | −0.336222 | + | 0.244280i | ||||
\(892\) | −56.7508 | − | 111.380i | −1.90016 | − | 3.72927i | ||||
\(893\) | −5.35167 | + | 5.35167i | −0.179087 | + | 0.179087i | ||||
\(894\) | 19.0295 | − | 58.5667i | 0.636440 | − | 1.95876i | ||||
\(895\) | 11.0971 | + | 3.68787i | 0.370934 | + | 0.123272i | ||||
\(896\) | 112.000 | + | 8.66664i | 3.74166 | + | 0.289532i | ||||
\(897\) | −7.90269 | + | 15.5099i | −0.263863 | + | 0.517861i | ||||
\(898\) | 41.9459 | − | 6.64358i | 1.39975 | − | 0.221699i | ||||
\(899\) | −24.8780 | −0.829729 | ||||||||
\(900\) | −2.44048 | + | 7.18273i | −0.0813493 | + | 0.239424i | ||||
\(901\) | − | 21.1906i | − | 0.705963i | ||||||
\(902\) | 1.95447 | − | 0.309558i | 0.0650768 | − | 0.0103072i | ||||
\(903\) | −3.97614 | − | 4.64310i | −0.132318 | − | 0.154513i | ||||
\(904\) | −90.3825 | + | 29.3671i | −3.00608 | + | 0.976734i | ||||
\(905\) | −4.12182 | − | 5.75371i | −0.137014 | − | 0.191260i | ||||
\(906\) | −20.9202 | − | 6.79737i | −0.695026 | − | 0.225828i | ||||
\(907\) | 16.1353 | + | 16.1353i | 0.535765 | + | 0.535765i | 0.922282 | − | 0.386517i | \(-0.126322\pi\) |
−0.386517 | + | 0.922282i | \(0.626322\pi\) | |||||||
\(908\) | −60.1355 | + | 30.6406i | −1.99567 | + | 1.01684i | ||||
\(909\) | 3.58665 | − | 2.60586i | 0.118962 | − | 0.0864308i | ||||
\(910\) | −9.26678 | + | 37.7052i | −0.307191 | + | 1.24991i | ||||
\(911\) | −39.2313 | − | 28.5032i | −1.29979 | − | 0.944353i | −0.299837 | − | 0.953991i | \(-0.596932\pi\) |
−0.999954 | + | 0.00963761i | \(0.996932\pi\) | |||||||
\(912\) | 54.5618 | + | 8.64174i | 1.80672 | + | 0.286157i | ||||
\(913\) | 4.09814 | + | 0.649081i | 0.135629 | + | 0.0214815i | ||||
\(914\) | −6.00733 | + | 8.26838i | −0.198705 | + | 0.273494i | ||||
\(915\) | 5.10123 | − | 30.8705i | 0.168642 | − | 1.02055i | ||||
\(916\) | −75.6488 | − | 104.122i | −2.49951 | − | 3.44028i | ||||
\(917\) | −26.3472 | + | 2.10839i | −0.870062 | + | 0.0696251i | ||||
\(918\) | −54.9386 | + | 54.9386i | −1.81324 | + | 1.81324i | ||||
\(919\) | 33.9336 | + | 11.0257i | 1.11937 | + | 0.363704i | 0.809525 | − | 0.587085i | \(-0.199724\pi\) |
0.309840 | + | 0.950789i | \(0.399724\pi\) | |||||||
\(920\) | −0.580315 | + | 86.7845i | −0.0191324 | + | 2.86120i | ||||
\(921\) | 3.62924 | + | 11.1696i | 0.119587 | + | 0.368052i | ||||
\(922\) | −15.5020 | − | 7.89867i | −0.510531 | − | 0.260129i | ||||
\(923\) | −0.754763 | − | 4.76539i | −0.0248433 | − | 0.156855i | ||||
\(924\) | 12.8312 | − | 31.0928i | 0.422117 | − | 1.02288i | ||||
\(925\) | 1.87340 | + | 12.9465i | 0.0615972 | + | 0.425678i | ||||
\(926\) | −33.7610 | −1.10946 | ||||||||
\(927\) | 0.508391 | − | 0.0805213i | 0.0166978 | − | 0.00264467i | ||||
\(928\) | −109.828 | − | 55.9601i | −3.60528 | − | 1.83698i | ||||
\(929\) | 8.42599 | + | 25.9325i | 0.276448 | + | 0.850818i | 0.988833 | + | 0.149030i | \(0.0476150\pi\) |
−0.712385 | + | 0.701789i | \(0.752385\pi\) | |||||||
\(930\) | −15.6102 | − | 49.1592i | −0.511877 | − | 1.61199i | ||||
\(931\) | 6.31585 | + | 12.3155i | 0.206994 | + | 0.403624i | ||||
\(932\) | 66.3923 | + | 66.3923i | 2.17475 | + | 2.17475i | ||||
\(933\) | 22.8045 | + | 44.7564i | 0.746586 | + | 1.46526i | ||||
\(934\) | 20.8074 | − | 15.1175i | 0.680840 | − | 0.494659i | ||||
\(935\) | 11.6352 | − | 11.4806i | 0.380511 | − | 0.375456i | ||||
\(936\) | 3.73259 | − | 5.13747i | 0.122004 | − | 0.167923i | ||||
\(937\) | 4.82555 | − | 30.4673i | 0.157644 | − | 0.995324i | −0.774326 | − | 0.632787i | \(-0.781911\pi\) |
0.931969 | − | 0.362537i | \(-0.118089\pi\) | |||||||
\(938\) | −62.9619 | − | 38.4695i | −2.05578 | − | 1.25607i | ||||
\(939\) | 19.5702 | − | 26.9360i | 0.638649 | − | 0.879024i | ||||
\(940\) | 33.1902 | + | 33.6370i | 1.08254 | + | 1.09712i | ||||
\(941\) | −11.5770 | − | 15.9343i | −0.377398 | − | 0.519444i | 0.577495 | − | 0.816394i | \(-0.304030\pi\) |
−0.954893 | + | 0.296950i | \(0.904030\pi\) | |||||||
\(942\) | 108.473 | − | 55.2698i | 3.53424 | − | 1.80079i | ||||
\(943\) | 1.61167 | + | 1.61167i | 0.0524832 | + | 0.0524832i | ||||
\(944\) | 30.4655 | − | 93.7632i | 0.991568 | − | 3.05173i | ||||
\(945\) | −29.0732 | − | 2.44538i | −0.945752 | − | 0.0795481i | ||||
\(946\) | 1.37683 | + | 4.23744i | 0.0447645 | + | 0.137771i | ||||
\(947\) | −13.4659 | + | 26.4283i | −0.437582 | + | 0.858803i | 0.561918 | + | 0.827193i | \(0.310064\pi\) |
−0.999500 | + | 0.0316105i | \(0.989936\pi\) | |||||||
\(948\) | −2.31063 | − | 14.5888i | −0.0750459 | − | 0.473821i | ||||
\(949\) | 11.8059i | 0.383237i | ||||||||
\(950\) | 3.88277 | + | 26.8326i | 0.125974 | + | 0.870564i | ||||
\(951\) | − | 35.5760i | − | 1.15363i | ||||||
\(952\) | 34.0734 | − | 142.751i | 1.10432 | − | 4.62660i | ||||
\(953\) | −45.6047 | − | 23.2368i | −1.47728 | − | 0.752713i | −0.484745 | − | 0.874656i | \(-0.661087\pi\) |
−0.992537 | + | 0.121943i | \(0.961087\pi\) | |||||||
\(954\) | −2.64393 | + | 0.859065i | −0.0856004 | + | 0.0278133i | ||||
\(955\) | 29.2314 | + | 0.195466i | 0.945907 | + | 0.00632514i | ||||
\(956\) | 31.5914 | − | 97.2284i | 1.02174 | − | 3.14459i | ||||
\(957\) | −8.71555 | + | 8.71555i | −0.281734 | + | 0.281734i | ||||
\(958\) | −24.1803 | + | 12.3205i | −0.781229 | + | 0.398056i | ||||
\(959\) | 18.2518 | − | 4.40723i | 0.589381 | − | 0.142317i | ||||
\(960\) | 21.2933 | − | 128.858i | 0.687240 | − | 4.15888i | ||||
\(961\) | −7.60279 | − | 5.52375i | −0.245251 | − | 0.178185i | ||||
\(962\) | 2.68607 | − | 16.9592i | 0.0866022 | − | 0.546785i | ||||
\(963\) | 0.783437 | − | 4.94643i | 0.0252459 | − | 0.159396i | ||||
\(964\) | 37.6764 | + | 27.3735i | 1.21348 | + | 0.881641i | ||||
\(965\) | 26.1132 | − | 3.95711i | 0.840613 | − | 0.127384i | ||||
\(966\) | 51.3030 | − | 12.3880i | 1.65065 | − | 0.398578i | ||||
\(967\) | 24.9569 | − | 12.7162i | 0.802561 | − | 0.408925i | −0.00406199 | − | 0.999992i | \(-0.501293\pi\) |
0.806623 | + | 0.591067i | \(0.201293\pi\) | |||||||
\(968\) | 64.0503 | − | 64.0503i | 2.05865 | − | 2.05865i | ||||
\(969\) | 6.35180 | − | 19.5488i | 0.204049 | − | 0.627999i | ||||
\(970\) | −32.6202 | + | 23.3683i | −1.04737 | + | 0.750312i | ||||
\(971\) | −12.1572 | + | 3.95010i | −0.390142 | + | 0.126765i | −0.497518 | − | 0.867454i | \(-0.665755\pi\) |
0.107376 | + | 0.994218i | \(0.465755\pi\) | |||||||
\(972\) | 14.0058 | + | 7.13630i | 0.449235 | + | 0.228897i | ||||
\(973\) | −48.8782 | − | 11.6667i | −1.56696 | − | 0.374019i | ||||
\(974\) | 103.857i | 3.32779i | ||||||||
\(975\) | 20.5024 | + | 6.96611i | 0.656602 | + | 0.223094i | ||||
\(976\) | 119.381i | 3.82130i | ||||||||
\(977\) | 4.56350 | + | 28.8128i | 0.145999 | + | 0.921803i | 0.946554 | + | 0.322544i | \(0.104538\pi\) |
−0.800555 | + | 0.599259i | \(0.795462\pi\) | |||||||
\(978\) | −33.1512 | + | 65.0628i | −1.06006 | + | 2.08048i | ||||
\(979\) | 0.694940 | + | 2.13881i | 0.0222104 | + | 0.0683566i | ||||
\(980\) | 77.1564 | − | 38.9194i | 2.46467 | − | 1.24323i | ||||
\(981\) | 1.67382 | − | 5.15149i | 0.0534410 | − | 0.164475i | ||||
\(982\) | 42.5613 | + | 42.5613i | 1.35819 | + | 1.35819i | ||||
\(983\) | 27.1340 | − | 13.8255i | 0.865441 | − | 0.440964i | 0.0358644 | − | 0.999357i | \(-0.488582\pi\) |
0.829577 | + | 0.558392i | \(0.188582\pi\) | |||||||
\(984\) | −5.82411 | − | 8.01620i | −0.185666 | − | 0.255547i | ||||
\(985\) | 31.4355 | − | 15.7533i | 1.00162 | − | 0.501943i | ||||
\(986\) | −49.5662 | + | 68.2221i | −1.57851 | + | 2.17263i | ||||
\(987\) | 9.55529 | − | 15.6389i | 0.304148 | − | 0.497791i | ||||
\(988\) | 4.08666 | − | 25.8021i | 0.130014 | − | 0.820875i | ||||
\(989\) | −3.01646 | + | 4.15180i | −0.0959177 | + | 0.132019i | ||||
\(990\) | −1.90411 | − | 0.986284i | −0.0605165 | − | 0.0313462i | ||||
\(991\) | −9.40736 | + | 6.83484i | −0.298835 | + | 0.217116i | −0.727091 | − | 0.686541i | \(-0.759128\pi\) |
0.428256 | + | 0.903657i | \(0.359128\pi\) | |||||||
\(992\) | 48.5921 | + | 95.3673i | 1.54280 | + | 3.02791i | ||||
\(993\) | 29.0365 | + | 29.0365i | 0.921447 | + | 0.921447i | ||||
\(994\) | −9.48580 | + | 11.1360i | −0.300871 | + | 0.353213i | ||||
\(995\) | 12.1815 | + | 8.97544i | 0.386180 | + | 0.284541i | ||||
\(996\) | −10.0671 | − | 30.9833i | −0.318988 | − | 0.981744i | ||||
\(997\) | −12.6590 | − | 6.45011i | −0.400916 | − | 0.204277i | 0.241894 | − | 0.970303i | \(-0.422231\pi\) |
−0.642810 | + | 0.766026i | \(0.722231\pi\) | |||||||
\(998\) | −88.2767 | + | 13.9817i | −2.79435 | + | 0.442581i | ||||
\(999\) | 12.9024 | 0.408215 |
(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 | 175.2.s.a.62.2 | yes | 144 | |
5.2 | odd | 4 | 875.2.s.a.293.17 | 144 | |||
5.3 | odd | 4 | 875.2.s.b.293.2 | 144 | |||
5.4 | even | 2 | 875.2.s.c.832.17 | 144 | |||
7.6 | odd | 2 | inner | 175.2.s.a.62.1 | yes | 144 | |
25.2 | odd | 20 | 875.2.s.c.468.18 | 144 | |||
25.11 | even | 5 | 875.2.s.b.657.1 | 144 | |||
25.14 | even | 10 | 875.2.s.a.657.18 | 144 | |||
25.23 | odd | 20 | inner | 175.2.s.a.48.1 | ✓ | 144 | |
35.13 | even | 4 | 875.2.s.b.293.1 | 144 | |||
35.27 | even | 4 | 875.2.s.a.293.18 | 144 | |||
35.34 | odd | 2 | 875.2.s.c.832.18 | 144 | |||
175.27 | even | 20 | 875.2.s.c.468.17 | 144 | |||
175.48 | even | 20 | inner | 175.2.s.a.48.2 | yes | 144 | |
175.111 | odd | 10 | 875.2.s.b.657.2 | 144 | |||
175.139 | odd | 10 | 875.2.s.a.657.17 | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
175.2.s.a.48.1 | ✓ | 144 | 25.23 | odd | 20 | inner | |
175.2.s.a.48.2 | yes | 144 | 175.48 | even | 20 | inner | |
175.2.s.a.62.1 | yes | 144 | 7.6 | odd | 2 | inner | |
175.2.s.a.62.2 | yes | 144 | 1.1 | even | 1 | trivial | |
875.2.s.a.293.17 | 144 | 5.2 | odd | 4 | |||
875.2.s.a.293.18 | 144 | 35.27 | even | 4 | |||
875.2.s.a.657.17 | 144 | 175.139 | odd | 10 | |||
875.2.s.a.657.18 | 144 | 25.14 | even | 10 | |||
875.2.s.b.293.1 | 144 | 35.13 | even | 4 | |||
875.2.s.b.293.2 | 144 | 5.3 | odd | 4 | |||
875.2.s.b.657.1 | 144 | 25.11 | even | 5 | |||
875.2.s.b.657.2 | 144 | 175.111 | odd | 10 | |||
875.2.s.c.468.17 | 144 | 175.27 | even | 20 | |||
875.2.s.c.468.18 | 144 | 25.2 | odd | 20 | |||
875.2.s.c.832.17 | 144 | 5.4 | even | 2 | |||
875.2.s.c.832.18 | 144 | 35.34 | odd | 2 |