Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [266,2,Mod(197,266)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(266, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("266.197");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 266 = 2 \cdot 7 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 266.f (of order \(3\), 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: | \(2.12402069377\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{8} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - x^{7} + 11x^{6} - 6x^{5} + 104x^{4} - 72x^{3} + 104x^{2} + 32x + 16 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 3 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 197.2 | ||
Root | \(-0.176135 + 0.305076i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 266.197 |
Dual form | 266.2.f.d.239.2 |
$q$-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 \(\left(\mathbb{Z}/266\mathbb{Z}\right)^\times\).
\(n\) | \(115\) | \(211\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.500000 | + | 0.866025i | 0.353553 | + | 0.612372i | ||||
\(3\) | −0.176135 | − | 0.305076i | −0.101692 | − | 0.176135i | 0.810690 | − | 0.585476i | \(-0.199092\pi\) |
−0.912382 | + | 0.409340i | \(0.865759\pi\) | |||||||
\(4\) | −0.500000 | + | 0.866025i | −0.250000 | + | 0.433013i | ||||
\(5\) | −2.16259 | − | 3.74571i | −0.967139 | − | 1.67513i | −0.703754 | − | 0.710444i | \(-0.748494\pi\) |
−0.263385 | − | 0.964691i | \(-0.584839\pi\) | |||||||
\(6\) | 0.176135 | − | 0.305076i | 0.0719070 | − | 0.124547i | ||||
\(7\) | 1.00000 | 0.377964 | ||||||||
\(8\) | −1.00000 | −0.353553 | ||||||||
\(9\) | 1.43795 | − | 2.49061i | 0.479318 | − | 0.830202i | ||||
\(10\) | 2.16259 | − | 3.74571i | 0.683871 | − | 1.18450i | ||||
\(11\) | 2.35227 | 0.709236 | 0.354618 | − | 0.935011i | \(-0.384611\pi\) | ||||
0.354618 | + | 0.935011i | \(0.384611\pi\) | |||||||
\(12\) | 0.352271 | 0.101692 | ||||||||
\(13\) | 0.400772 | − | 0.694158i | 0.111154 | − | 0.192525i | −0.805082 | − | 0.593164i | \(-0.797879\pi\) |
0.916236 | + | 0.400639i | \(0.131212\pi\) | |||||||
\(14\) | 0.500000 | + | 0.866025i | 0.133631 | + | 0.231455i | ||||
\(15\) | −0.761817 | + | 1.31951i | −0.196700 | + | 0.340695i | ||||
\(16\) | −0.500000 | − | 0.866025i | −0.125000 | − | 0.216506i | ||||
\(17\) | −3.11409 | − | 5.39376i | −0.755277 | − | 1.30818i | −0.945236 | − | 0.326387i | \(-0.894169\pi\) |
0.189959 | − | 0.981792i | \(-0.439164\pi\) | |||||||
\(18\) | 2.87591 | 0.677857 | ||||||||
\(19\) | 3.69100 | + | 2.31874i | 0.846772 | + | 0.531955i | ||||
\(20\) | 4.32518 | 0.967139 | ||||||||
\(21\) | −0.176135 | − | 0.305076i | −0.0384359 | − | 0.0665729i | ||||
\(22\) | 1.17614 | + | 2.03713i | 0.250753 | + | 0.434317i | ||||
\(23\) | 0.887226 | − | 1.53672i | 0.184999 | − | 0.320428i | −0.758577 | − | 0.651583i | \(-0.774105\pi\) |
0.943576 | + | 0.331155i | \(0.107438\pi\) | |||||||
\(24\) | 0.176135 | + | 0.305076i | 0.0359535 | + | 0.0622733i | ||||
\(25\) | −6.85358 | + | 11.8708i | −1.37072 | + | 2.37415i | ||||
\(26\) | 0.801544 | 0.157196 | ||||||||
\(27\) | −2.06991 | −0.398354 | ||||||||
\(28\) | −0.500000 | + | 0.866025i | −0.0944911 | + | 0.163663i | ||||
\(29\) | −2.91563 | + | 5.05002i | −0.541419 | + | 0.937766i | 0.457404 | + | 0.889259i | \(0.348780\pi\) |
−0.998823 | + | 0.0485065i | \(0.984554\pi\) | |||||||
\(30\) | −1.52363 | −0.278176 | ||||||||
\(31\) | −5.12672 | −0.920787 | −0.460393 | − | 0.887715i | \(-0.652292\pi\) | ||||
−0.460393 | + | 0.887715i | \(0.652292\pi\) | |||||||
\(32\) | 0.500000 | − | 0.866025i | 0.0883883 | − | 0.153093i | ||||
\(33\) | −0.414318 | − | 0.717620i | −0.0721235 | − | 0.124922i | ||||
\(34\) | 3.11409 | − | 5.39376i | 0.534062 | − | 0.925022i | ||||
\(35\) | −2.16259 | − | 3.74571i | −0.365544 | − | 0.633141i | ||||
\(36\) | 1.43795 | + | 2.49061i | 0.239659 | + | 0.415101i | ||||
\(37\) | 10.6504 | 1.75091 | 0.875454 | − | 0.483302i | \(-0.160563\pi\) | ||||
0.875454 | + | 0.483302i | \(0.160563\pi\) | |||||||
\(38\) | −0.162589 | + | 4.35587i | −0.0263755 | + | 0.706615i | ||||
\(39\) | −0.282361 | −0.0452139 | ||||||||
\(40\) | 2.16259 | + | 3.74571i | 0.341935 | + | 0.592249i | ||||
\(41\) | 1.82386 | + | 3.15903i | 0.284840 | + | 0.493357i | 0.972570 | − | 0.232609i | \(-0.0747263\pi\) |
−0.687731 | + | 0.725966i | \(0.741393\pi\) | |||||||
\(42\) | 0.176135 | − | 0.305076i | 0.0271783 | − | 0.0470742i | ||||
\(43\) | −0.436639 | − | 0.756280i | −0.0665868 | − | 0.115332i | 0.830810 | − | 0.556556i | \(-0.187878\pi\) |
−0.897397 | + | 0.441224i | \(0.854544\pi\) | |||||||
\(44\) | −1.17614 | + | 2.03713i | −0.177309 | + | 0.307108i | ||||
\(45\) | −12.4388 | −1.85427 | ||||||||
\(46\) | 1.77445 | 0.261629 | ||||||||
\(47\) | 2.91563 | − | 5.05002i | 0.425289 | − | 0.736622i | −0.571159 | − | 0.820840i | \(-0.693506\pi\) |
0.996447 | + | 0.0842181i | \(0.0268392\pi\) | |||||||
\(48\) | −0.176135 | + | 0.305076i | −0.0254230 | + | 0.0440339i | ||||
\(49\) | 1.00000 | 0.142857 | ||||||||
\(50\) | −13.7072 | −1.93849 | ||||||||
\(51\) | −1.09700 | + | 1.90006i | −0.153611 | + | 0.266062i | ||||
\(52\) | 0.400772 | + | 0.694158i | 0.0555771 | + | 0.0962623i | ||||
\(53\) | −0.563361 | + | 0.975771i | −0.0773836 | + | 0.134032i | −0.902120 | − | 0.431484i | \(-0.857990\pi\) |
0.824737 | + | 0.565517i | \(0.191323\pi\) | |||||||
\(54\) | −1.03496 | − | 1.79259i | −0.140840 | − | 0.243941i | ||||
\(55\) | −5.08700 | − | 8.81094i | −0.685930 | − | 1.18807i | ||||
\(56\) | −1.00000 | −0.133631 | ||||||||
\(57\) | 0.0572755 | − | 1.53444i | 0.00758632 | − | 0.203242i | ||||
\(58\) | −5.83126 | −0.765683 | ||||||||
\(59\) | 7.10054 | + | 12.2985i | 0.924412 | + | 1.60113i | 0.792504 | + | 0.609866i | \(0.208777\pi\) |
0.131907 | + | 0.991262i | \(0.457890\pi\) | |||||||
\(60\) | −0.761817 | − | 1.31951i | −0.0983502 | − | 0.170348i | ||||
\(61\) | 1.36105 | − | 2.35740i | 0.174264 | − | 0.301834i | −0.765642 | − | 0.643267i | \(-0.777579\pi\) |
0.939906 | + | 0.341432i | \(0.110912\pi\) | |||||||
\(62\) | −2.56336 | − | 4.43987i | −0.325547 | − | 0.563864i | ||||
\(63\) | 1.43795 | − | 2.49061i | 0.181165 | − | 0.313787i | ||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | −3.46682 | −0.430006 | ||||||||
\(66\) | 0.414318 | − | 0.717620i | 0.0509990 | − | 0.0883329i | ||||
\(67\) | −2.29022 | + | 3.96678i | −0.279795 | + | 0.484620i | −0.971334 | − | 0.237720i | \(-0.923600\pi\) |
0.691538 | + | 0.722340i | \(0.256933\pi\) | |||||||
\(68\) | 6.22818 | 0.755277 | ||||||||
\(69\) | −0.625088 | −0.0752517 | ||||||||
\(70\) | 2.16259 | − | 3.74571i | 0.258479 | − | 0.447699i | ||||
\(71\) | −7.00131 | − | 12.1266i | −0.830903 | − | 1.43917i | −0.897323 | − | 0.441375i | \(-0.854491\pi\) |
0.0664198 | − | 0.997792i | \(-0.478842\pi\) | |||||||
\(72\) | −1.43795 | + | 2.49061i | −0.169464 | + | 0.293521i | ||||
\(73\) | 4.61540 | + | 7.99411i | 0.540192 | + | 0.935640i | 0.998893 | + | 0.0470490i | \(0.0149817\pi\) |
−0.458701 | + | 0.888591i | \(0.651685\pi\) | |||||||
\(74\) | 5.32518 | + | 9.22348i | 0.619039 | + | 1.07221i | ||||
\(75\) | 4.82864 | 0.557563 | ||||||||
\(76\) | −3.85358 | + | 2.03713i | −0.442037 | + | 0.233674i | ||||
\(77\) | 2.35227 | 0.268066 | ||||||||
\(78\) | −0.141180 | − | 0.244532i | −0.0159855 | − | 0.0276877i | ||||
\(79\) | 3.52363 | + | 6.10311i | 0.396440 | + | 0.686654i | 0.993284 | − | 0.115703i | \(-0.0369122\pi\) |
−0.596844 | + | 0.802357i | \(0.703579\pi\) | |||||||
\(80\) | −2.16259 | + | 3.74571i | −0.241785 | + | 0.418784i | ||||
\(81\) | −3.94927 | − | 6.84034i | −0.438808 | − | 0.760038i | ||||
\(82\) | −1.82386 | + | 3.15903i | −0.201412 | + | 0.348856i | ||||
\(83\) | 15.5560 | 1.70749 | 0.853745 | − | 0.520691i | \(-0.174325\pi\) | ||||
0.853745 | + | 0.520691i | \(0.174325\pi\) | |||||||
\(84\) | 0.352271 | 0.0384359 | ||||||||
\(85\) | −13.4690 | + | 23.3290i | −1.46092 | + | 2.53038i | ||||
\(86\) | 0.436639 | − | 0.756280i | 0.0470840 | − | 0.0815518i | ||||
\(87\) | 2.05418 | 0.220232 | ||||||||
\(88\) | −2.35227 | −0.250753 | ||||||||
\(89\) | −3.64773 | + | 6.31805i | −0.386659 | + | 0.669712i | −0.991998 | − | 0.126255i | \(-0.959704\pi\) |
0.605339 | + | 0.795968i | \(0.293037\pi\) | |||||||
\(90\) | −6.21940 | − | 10.7723i | −0.655583 | − | 1.13550i | ||||
\(91\) | 0.400772 | − | 0.694158i | 0.0420123 | − | 0.0727675i | ||||
\(92\) | 0.887226 | + | 1.53672i | 0.0924997 | + | 0.160214i | ||||
\(93\) | 0.902998 | + | 1.56404i | 0.0936365 | + | 0.162183i | ||||
\(94\) | 5.83126 | 0.601449 | ||||||||
\(95\) | 0.703228 | − | 18.8399i | 0.0721496 | − | 1.93293i | ||||
\(96\) | −0.352271 | −0.0359535 | ||||||||
\(97\) | −1.52841 | − | 2.64728i | −0.155186 | − | 0.268790i | 0.777941 | − | 0.628338i | \(-0.216264\pi\) |
−0.933127 | + | 0.359547i | \(0.882931\pi\) | |||||||
\(98\) | 0.500000 | + | 0.866025i | 0.0505076 | + | 0.0874818i | ||||
\(99\) | 3.38245 | − | 5.85858i | 0.339949 | − | 0.588810i | ||||
\(100\) | −6.85358 | − | 11.8708i | −0.685358 | − | 1.18708i | ||||
\(101\) | −0.761817 | + | 1.31951i | −0.0758036 | + | 0.131296i | −0.901435 | − | 0.432914i | \(-0.857486\pi\) |
0.825632 | + | 0.564209i | \(0.190819\pi\) | |||||||
\(102\) | −2.19400 | −0.217239 | ||||||||
\(103\) | −11.5236 | −1.13546 | −0.567729 | − | 0.823216i | \(-0.692178\pi\) | ||||
−0.567729 | + | 0.823216i | \(0.692178\pi\) | |||||||
\(104\) | −0.400772 | + | 0.694158i | −0.0392989 | + | 0.0680678i | ||||
\(105\) | −0.761817 | + | 1.31951i | −0.0743457 | + | 0.128771i | ||||
\(106\) | −1.12672 | −0.109437 | ||||||||
\(107\) | 16.0053 | 1.54729 | 0.773643 | − | 0.633621i | \(-0.218432\pi\) | ||||
0.773643 | + | 0.633621i | \(0.218432\pi\) | |||||||
\(108\) | 1.03496 | − | 1.79259i | 0.0995886 | − | 0.172493i | ||||
\(109\) | 3.62017 | + | 6.27033i | 0.346750 | + | 0.600588i | 0.985670 | − | 0.168685i | \(-0.0539520\pi\) |
−0.638920 | + | 0.769273i | \(0.720619\pi\) | |||||||
\(110\) | 5.08700 | − | 8.81094i | 0.485026 | − | 0.840090i | ||||
\(111\) | −1.87591 | − | 3.24916i | −0.178053 | − | 0.308397i | ||||
\(112\) | −0.500000 | − | 0.866025i | −0.0472456 | − | 0.0818317i | ||||
\(113\) | 1.47637 | 0.138885 | 0.0694424 | − | 0.997586i | \(-0.477878\pi\) | ||||
0.0694424 | + | 0.997586i | \(0.477878\pi\) | |||||||
\(114\) | 1.35751 | − | 0.717620i | 0.127142 | − | 0.0672113i | ||||
\(115\) | −7.67482 | −0.715681 | ||||||||
\(116\) | −2.91563 | − | 5.05002i | −0.270710 | − | 0.468883i | ||||
\(117\) | −1.15258 | − | 1.99633i | −0.106556 | − | 0.184561i | ||||
\(118\) | −7.10054 | + | 12.2985i | −0.653658 | + | 1.13217i | ||||
\(119\) | −3.11409 | − | 5.39376i | −0.285468 | − | 0.494445i | ||||
\(120\) | 0.761817 | − | 1.31951i | 0.0695441 | − | 0.120454i | ||||
\(121\) | −5.46682 | −0.496984 | ||||||||
\(122\) | 2.72209 | 0.246446 | ||||||||
\(123\) | 0.642494 | − | 1.11283i | 0.0579318 | − | 0.100341i | ||||
\(124\) | 2.56336 | − | 4.43987i | 0.230197 | − | 0.398712i | ||||
\(125\) | 37.6601 | 3.36842 | ||||||||
\(126\) | 2.87591 | 0.256206 | ||||||||
\(127\) | 3.11540 | − | 5.39603i | 0.276447 | − | 0.478821i | −0.694052 | − | 0.719925i | \(-0.744176\pi\) |
0.970499 | + | 0.241104i | \(0.0775096\pi\) | |||||||
\(128\) | 0.500000 | + | 0.866025i | 0.0441942 | + | 0.0765466i | ||||
\(129\) | −0.153815 | + | 0.266415i | −0.0135427 | + | 0.0234566i | ||||
\(130\) | −1.73341 | − | 3.00236i | −0.152030 | − | 0.263324i | ||||
\(131\) | 1.83264 | + | 3.17422i | 0.160118 | + | 0.277333i | 0.934911 | − | 0.354882i | \(-0.115479\pi\) |
−0.774793 | + | 0.632216i | \(0.782146\pi\) | |||||||
\(132\) | 0.828636 | 0.0721235 | ||||||||
\(133\) | 3.69100 | + | 2.31874i | 0.320050 | + | 0.201060i | ||||
\(134\) | −4.58045 | −0.395690 | ||||||||
\(135\) | 4.47637 | + | 7.75329i | 0.385264 | + | 0.667297i | ||||
\(136\) | 3.11409 | + | 5.39376i | 0.267031 | + | 0.462511i | ||||
\(137\) | −1.69846 | + | 2.94181i | −0.145109 | + | 0.251336i | −0.929414 | − | 0.369040i | \(-0.879687\pi\) |
0.784305 | + | 0.620376i | \(0.213020\pi\) | |||||||
\(138\) | −0.312544 | − | 0.541342i | −0.0266055 | − | 0.0460821i | ||||
\(139\) | 2.59832 | − | 4.50042i | 0.220386 | − | 0.381720i | −0.734539 | − | 0.678566i | \(-0.762602\pi\) |
0.954925 | + | 0.296846i | \(0.0959349\pi\) | |||||||
\(140\) | 4.32518 | 0.365544 | ||||||||
\(141\) | −2.05418 | −0.172994 | ||||||||
\(142\) | 7.00131 | − | 12.1266i | 0.587537 | − | 1.01764i | ||||
\(143\) | 0.942725 | − | 1.63285i | 0.0788346 | − | 0.136546i | ||||
\(144\) | −2.87591 | −0.239659 | ||||||||
\(145\) | 25.2213 | 2.09451 | ||||||||
\(146\) | −4.61540 | + | 7.99411i | −0.381973 | + | 0.661597i | ||||
\(147\) | −0.176135 | − | 0.305076i | −0.0145274 | − | 0.0251622i | ||||
\(148\) | −5.32518 | + | 9.22348i | −0.437727 | + | 0.758165i | ||||
\(149\) | −7.32518 | − | 12.6876i | −0.600102 | − | 1.03941i | −0.992805 | − | 0.119742i | \(-0.961793\pi\) |
0.392703 | − | 0.919665i | \(-0.371540\pi\) | |||||||
\(150\) | 2.41432 | + | 4.18172i | 0.197128 | + | 0.341436i | ||||
\(151\) | 5.46682 | 0.444884 | 0.222442 | − | 0.974946i | \(-0.428597\pi\) | ||||
0.222442 | + | 0.974946i | \(0.428597\pi\) | |||||||
\(152\) | −3.69100 | − | 2.31874i | −0.299379 | − | 0.188075i | ||||
\(153\) | −17.9116 | −1.44807 | ||||||||
\(154\) | 1.17614 | + | 2.03713i | 0.0947757 | + | 0.164156i | ||||
\(155\) | 11.0870 | + | 19.2032i | 0.890529 | + | 1.54244i | ||||
\(156\) | 0.141180 | − | 0.244532i | 0.0113035 | − | 0.0195782i | ||||
\(157\) | 1.72595 | + | 2.98943i | 0.137746 | + | 0.238583i | 0.926643 | − | 0.375942i | \(-0.122681\pi\) |
−0.788897 | + | 0.614525i | \(0.789348\pi\) | |||||||
\(158\) | −3.52363 | + | 6.10311i | −0.280325 | + | 0.485538i | ||||
\(159\) | 0.396912 | 0.0314771 | ||||||||
\(160\) | −4.32518 | −0.341935 | ||||||||
\(161\) | 0.887226 | − | 1.53672i | 0.0699232 | − | 0.121111i | ||||
\(162\) | 3.94927 | − | 6.84034i | 0.310284 | − | 0.537428i | ||||
\(163\) | 8.65990 | 0.678296 | 0.339148 | − | 0.940733i | \(-0.389861\pi\) | ||||
0.339148 | + | 0.940733i | \(0.389861\pi\) | |||||||
\(164\) | −3.64773 | −0.284840 | ||||||||
\(165\) | −1.79200 | + | 3.10384i | −0.139507 | + | 0.241633i | ||||
\(166\) | 7.77799 | + | 13.4719i | 0.603689 | + | 1.04562i | ||||
\(167\) | 3.02972 | − | 5.24763i | 0.234447 | − | 0.406074i | −0.724665 | − | 0.689101i | \(-0.758005\pi\) |
0.959112 | + | 0.283028i | \(0.0913388\pi\) | |||||||
\(168\) | 0.176135 | + | 0.305076i | 0.0135891 | + | 0.0235371i | ||||
\(169\) | 6.17876 | + | 10.7019i | 0.475289 | + | 0.823226i | ||||
\(170\) | −26.9380 | −2.06605 | ||||||||
\(171\) | 11.0825 | − | 5.85858i | 0.847503 | − | 0.448017i | ||||
\(172\) | 0.873277 | 0.0665868 | ||||||||
\(173\) | −7.81295 | − | 13.5324i | −0.594007 | − | 1.02885i | −0.993686 | − | 0.112196i | \(-0.964212\pi\) |
0.399679 | − | 0.916655i | \(-0.369122\pi\) | |||||||
\(174\) | 1.02709 | + | 1.77898i | 0.0778637 | + | 0.134864i | ||||
\(175\) | −6.85358 | + | 11.8708i | −0.518082 | + | 0.897345i | ||||
\(176\) | −1.17614 | − | 2.03713i | −0.0886545 | − | 0.153554i | ||||
\(177\) | 2.50131 | − | 4.33240i | 0.188010 | − | 0.325643i | ||||
\(178\) | −7.29546 | −0.546818 | ||||||||
\(179\) | 11.3995 | 0.852042 | 0.426021 | − | 0.904713i | \(-0.359915\pi\) | ||||
0.426021 | + | 0.904713i | \(0.359915\pi\) | |||||||
\(180\) | 6.21940 | − | 10.7723i | 0.463567 | − | 0.802921i | ||||
\(181\) | −1.63895 | + | 2.83875i | −0.121823 | + | 0.211003i | −0.920486 | − | 0.390775i | \(-0.872207\pi\) |
0.798664 | + | 0.601777i | \(0.205541\pi\) | |||||||
\(182\) | 0.801544 | 0.0594144 | ||||||||
\(183\) | −0.958913 | −0.0708849 | ||||||||
\(184\) | −0.887226 | + | 1.53672i | −0.0654072 | + | 0.113289i | ||||
\(185\) | −23.0323 | − | 39.8932i | −1.69337 | − | 2.93301i | ||||
\(186\) | −0.902998 | + | 1.56404i | −0.0662110 | + | 0.114681i | ||||
\(187\) | −7.32518 | − | 12.6876i | −0.535670 | − | 0.927808i | ||||
\(188\) | 2.91563 | + | 5.05002i | 0.212644 | + | 0.368311i | ||||
\(189\) | −2.06991 | −0.150564 | ||||||||
\(190\) | 16.6674 | − | 8.81094i | 1.20918 | − | 0.639212i | ||||
\(191\) | −3.23865 | −0.234340 | −0.117170 | − | 0.993112i | \(-0.537382\pi\) | ||||
−0.117170 | + | 0.993112i | \(0.537382\pi\) | |||||||
\(192\) | −0.176135 | − | 0.305076i | −0.0127115 | − | 0.0220169i | ||||
\(193\) | −6.02841 | − | 10.4415i | −0.433934 | − | 0.751596i | 0.563274 | − | 0.826270i | \(-0.309542\pi\) |
−0.997208 | + | 0.0746743i | \(0.976208\pi\) | |||||||
\(194\) | 1.52841 | − | 2.64728i | 0.109733 | − | 0.190063i | ||||
\(195\) | 0.610630 | + | 1.05764i | 0.0437281 | + | 0.0757393i | ||||
\(196\) | −0.500000 | + | 0.866025i | −0.0357143 | + | 0.0618590i | ||||
\(197\) | −20.9380 | −1.49177 | −0.745884 | − | 0.666075i | \(-0.767973\pi\) | ||||
−0.745884 | + | 0.666075i | \(0.767973\pi\) | |||||||
\(198\) | 6.76491 | 0.480761 | ||||||||
\(199\) | −4.56336 | + | 7.90397i | −0.323488 | + | 0.560298i | −0.981205 | − | 0.192967i | \(-0.938189\pi\) |
0.657717 | + | 0.753265i | \(0.271522\pi\) | |||||||
\(200\) | 6.85358 | − | 11.8708i | 0.484622 | − | 0.839389i | ||||
\(201\) | 1.61356 | 0.113812 | ||||||||
\(202\) | −1.52363 | −0.107203 | ||||||||
\(203\) | −2.91563 | + | 5.05002i | −0.204637 | + | 0.354442i | ||||
\(204\) | −1.09700 | − | 1.90006i | −0.0768055 | − | 0.133031i | ||||
\(205\) | 7.88854 | − | 13.6634i | 0.550960 | − | 0.954290i | ||||
\(206\) | −5.76182 | − | 9.97976i | −0.401445 | − | 0.695323i | ||||
\(207\) | −2.55158 | − | 4.41946i | −0.177347 | − | 0.307174i | ||||
\(208\) | −0.801544 | −0.0555771 | ||||||||
\(209\) | 8.68222 | + | 5.45430i | 0.600562 | + | 0.377282i | ||||
\(210\) | −1.52363 | −0.105141 | ||||||||
\(211\) | 2.00000 | + | 3.46410i | 0.137686 | + | 0.238479i | 0.926620 | − | 0.375999i | \(-0.122700\pi\) |
−0.788935 | + | 0.614477i | \(0.789367\pi\) | |||||||
\(212\) | −0.563361 | − | 0.975771i | −0.0386918 | − | 0.0670162i | ||||
\(213\) | −2.46636 | + | 4.27186i | −0.168992 | + | 0.292703i | ||||
\(214\) | 8.00263 | + | 13.8610i | 0.547048 | + | 0.947516i | ||||
\(215\) | −1.88854 | + | 3.27105i | −0.128797 | + | 0.223084i | ||||
\(216\) | 2.06991 | 0.140840 | ||||||||
\(217\) | −5.12672 | −0.348025 | ||||||||
\(218\) | −3.62017 | + | 6.27033i | −0.245189 | + | 0.424680i | ||||
\(219\) | 1.62587 | − | 2.81609i | 0.109866 | − | 0.190294i | ||||
\(220\) | 10.1740 | 0.685930 | ||||||||
\(221\) | −4.99216 | −0.335809 | ||||||||
\(222\) | 1.87591 | − | 3.24916i | 0.125903 | − | 0.218070i | ||||
\(223\) | 6.12672 | + | 10.6118i | 0.410276 | + | 0.710618i | 0.994920 | − | 0.100672i | \(-0.0320991\pi\) |
−0.584644 | + | 0.811290i | \(0.698766\pi\) | |||||||
\(224\) | 0.500000 | − | 0.866025i | 0.0334077 | − | 0.0578638i | ||||
\(225\) | 19.7103 | + | 34.1392i | 1.31402 | + | 2.27594i | ||||
\(226\) | 0.738183 | + | 1.27857i | 0.0491032 | + | 0.0850492i | ||||
\(227\) | −23.3531 | −1.55000 | −0.774999 | − | 0.631962i | \(-0.782250\pi\) | ||||
−0.774999 | + | 0.631962i | \(0.782250\pi\) | |||||||
\(228\) | 1.30023 | + | 0.816824i | 0.0861098 | + | 0.0540955i | ||||
\(229\) | −25.8830 | −1.71040 | −0.855198 | − | 0.518302i | \(-0.826564\pi\) | ||||
−0.855198 | + | 0.518302i | \(0.826564\pi\) | |||||||
\(230\) | −3.83741 | − | 6.64659i | −0.253031 | − | 0.438263i | ||||
\(231\) | −0.414318 | − | 0.717620i | −0.0272601 | − | 0.0472159i | ||||
\(232\) | 2.91563 | − | 5.05002i | 0.191421 | − | 0.331550i | ||||
\(233\) | 1.30154 | + | 2.25434i | 0.0852670 | + | 0.147687i | 0.905505 | − | 0.424336i | \(-0.139492\pi\) |
−0.820238 | + | 0.572022i | \(0.806159\pi\) | |||||||
\(234\) | 1.15258 | − | 1.99633i | 0.0753467 | − | 0.130504i | ||||
\(235\) | −25.2213 | −1.64525 | ||||||||
\(236\) | −14.2011 | −0.924412 | ||||||||
\(237\) | 1.24127 | − | 2.14995i | 0.0806294 | − | 0.139654i | ||||
\(238\) | 3.11409 | − | 5.39376i | 0.201856 | − | 0.349625i | ||||
\(239\) | −23.2781 | −1.50573 | −0.752867 | − | 0.658173i | \(-0.771330\pi\) | ||||
−0.752867 | + | 0.658173i | \(0.771330\pi\) | |||||||
\(240\) | 1.52363 | 0.0983502 | ||||||||
\(241\) | 4.47159 | − | 7.74503i | 0.288041 | − | 0.498901i | −0.685301 | − | 0.728260i | \(-0.740329\pi\) |
0.973342 | + | 0.229359i | \(0.0736628\pi\) | |||||||
\(242\) | −2.73341 | − | 4.73441i | −0.175710 | − | 0.304339i | ||||
\(243\) | −4.49608 | + | 7.78744i | −0.288424 | + | 0.499564i | ||||
\(244\) | 1.36105 | + | 2.35740i | 0.0871320 | + | 0.150917i | ||||
\(245\) | −2.16259 | − | 3.74571i | −0.138163 | − | 0.239305i | ||||
\(246\) | 1.28499 | 0.0819279 | ||||||||
\(247\) | 3.08882 | − | 1.63285i | 0.196537 | − | 0.103896i | ||||
\(248\) | 5.12672 | 0.325547 | ||||||||
\(249\) | −2.73996 | − | 4.74575i | −0.173638 | − | 0.300750i | ||||
\(250\) | 18.8300 | + | 32.6146i | 1.19092 | + | 2.06273i | ||||
\(251\) | −13.6936 | + | 23.7181i | −0.864334 | + | 1.49707i | 0.00337324 | + | 0.999994i | \(0.498926\pi\) |
−0.867707 | + | 0.497076i | \(0.834407\pi\) | |||||||
\(252\) | 1.43795 | + | 2.49061i | 0.0905825 | + | 0.156893i | ||||
\(253\) | 2.08700 | − | 3.61478i | 0.131208 | − | 0.227259i | ||||
\(254\) | 6.23080 | 0.390955 | ||||||||
\(255\) | 9.48946 | 0.594253 | ||||||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | −4.24605 | + | 7.35437i | −0.264861 | + | 0.458753i | −0.967527 | − | 0.252767i | \(-0.918659\pi\) |
0.702666 | + | 0.711520i | \(0.251993\pi\) | |||||||
\(258\) | −0.307630 | −0.0191522 | ||||||||
\(259\) | 10.6504 | 0.661781 | ||||||||
\(260\) | 1.73341 | − | 3.00236i | 0.107502 | − | 0.186198i | ||||
\(261\) | 8.38508 | + | 14.5234i | 0.519024 | + | 0.898975i | ||||
\(262\) | −1.83264 | + | 3.17422i | −0.113221 | + | 0.196104i | ||||
\(263\) | 2.87459 | + | 4.97894i | 0.177255 | + | 0.307014i | 0.940939 | − | 0.338575i | \(-0.109945\pi\) |
−0.763684 | + | 0.645590i | \(0.776612\pi\) | |||||||
\(264\) | 0.414318 | + | 0.717620i | 0.0254995 | + | 0.0441665i | ||||
\(265\) | 4.87328 | 0.299363 | ||||||||
\(266\) | −0.162589 | + | 4.35587i | −0.00996899 | + | 0.267075i | ||||
\(267\) | 2.56998 | 0.157280 | ||||||||
\(268\) | −2.29022 | − | 3.96678i | −0.139898 | − | 0.242310i | ||||
\(269\) | 4.21109 | + | 7.29382i | 0.256755 | + | 0.444712i | 0.965371 | − | 0.260882i | \(-0.0840134\pi\) |
−0.708616 | + | 0.705594i | \(0.750680\pi\) | |||||||
\(270\) | −4.47637 | + | 7.75329i | −0.272423 | + | 0.471850i | ||||
\(271\) | −10.3649 | − | 17.9525i | −0.629623 | − | 1.09054i | −0.987627 | − | 0.156819i | \(-0.949876\pi\) |
0.358004 | − | 0.933720i | \(-0.383457\pi\) | |||||||
\(272\) | −3.11409 | + | 5.39376i | −0.188819 | + | 0.327045i | ||||
\(273\) | −0.282361 | −0.0170892 | ||||||||
\(274\) | −3.39691 | −0.205215 | ||||||||
\(275\) | −16.1215 | + | 27.9232i | −0.972162 | + | 1.68383i | ||||
\(276\) | 0.312544 | − | 0.541342i | 0.0188129 | − | 0.0325849i | ||||
\(277\) | 17.4442 | 1.04812 | 0.524060 | − | 0.851682i | \(-0.324417\pi\) | ||||
0.524060 | + | 0.851682i | \(0.324417\pi\) | |||||||
\(278\) | 5.19663 | 0.311673 | ||||||||
\(279\) | −7.37198 | + | 12.7687i | −0.441349 | + | 0.764439i | ||||
\(280\) | 2.16259 | + | 3.74571i | 0.129239 | + | 0.223849i | ||||
\(281\) | −1.06205 | + | 1.83952i | −0.0633564 | + | 0.109737i | −0.895964 | − | 0.444127i | \(-0.853514\pi\) |
0.832607 | + | 0.553864i | \(0.186847\pi\) | |||||||
\(282\) | −1.02709 | − | 1.77898i | −0.0611625 | − | 0.105936i | ||||
\(283\) | 13.8348 | + | 23.9626i | 0.822394 | + | 1.42443i | 0.903895 | + | 0.427754i | \(0.140695\pi\) |
−0.0815012 | + | 0.996673i | \(0.525971\pi\) | |||||||
\(284\) | 14.0026 | 0.830903 | ||||||||
\(285\) | −5.87145 | + | 3.10384i | −0.347795 | + | 0.183855i | ||||
\(286\) | 1.88545 | 0.111489 | ||||||||
\(287\) | 1.82386 | + | 3.15903i | 0.107659 | + | 0.186471i | ||||
\(288\) | −1.43795 | − | 2.49061i | −0.0847322 | − | 0.146760i | ||||
\(289\) | −10.8951 | + | 18.8708i | −0.640888 | + | 1.11005i | ||||
\(290\) | 12.6106 | + | 21.8423i | 0.740522 | + | 1.28262i | ||||
\(291\) | −0.538413 | + | 0.932559i | −0.0315623 | + | 0.0546676i | ||||
\(292\) | −9.23080 | −0.540192 | ||||||||
\(293\) | −13.2326 | −0.773058 | −0.386529 | − | 0.922277i | \(-0.626326\pi\) | ||||
−0.386529 | + | 0.922277i | \(0.626326\pi\) | |||||||
\(294\) | 0.176135 | − | 0.305076i | 0.0102724 | − | 0.0177924i | ||||
\(295\) | 30.7111 | − | 53.1932i | 1.78807 | − | 3.09703i | ||||
\(296\) | −10.6504 | −0.619039 | ||||||||
\(297\) | −4.86899 | −0.282527 | ||||||||
\(298\) | 7.32518 | − | 12.6876i | 0.424336 | − | 0.734972i | ||||
\(299\) | −0.711151 | − | 1.23175i | −0.0411269 | − | 0.0712339i | ||||
\(300\) | −2.41432 | + | 4.18172i | −0.139391 | + | 0.241432i | ||||
\(301\) | −0.436639 | − | 0.756280i | −0.0251674 | − | 0.0435913i | ||||
\(302\) | 2.73341 | + | 4.73441i | 0.157290 | + | 0.272434i | ||||
\(303\) | 0.536732 | 0.0308344 | ||||||||
\(304\) | 0.162589 | − | 4.35587i | 0.00932514 | − | 0.249826i | ||||
\(305\) | −11.7735 | −0.674150 | ||||||||
\(306\) | −8.95582 | − | 15.5119i | −0.511970 | − | 0.886759i | ||||
\(307\) | −12.4699 | − | 21.5985i | −0.711695 | − | 1.23269i | −0.964221 | − | 0.265101i | \(-0.914595\pi\) |
0.252526 | − | 0.967590i | \(-0.418739\pi\) | |||||||
\(308\) | −1.17614 | + | 2.03713i | −0.0670165 | + | 0.116076i | ||||
\(309\) | 2.02972 | + | 3.51558i | 0.115467 | + | 0.199994i | ||||
\(310\) | −11.0870 | + | 19.2032i | −0.629699 | + | 1.09067i | ||||
\(311\) | 15.9458 | 0.904204 | 0.452102 | − | 0.891966i | \(-0.350674\pi\) | ||||
0.452102 | + | 0.891966i | \(0.350674\pi\) | |||||||
\(312\) | 0.282361 | 0.0159855 | ||||||||
\(313\) | 6.36013 | − | 11.0161i | 0.359496 | − | 0.622665i | −0.628381 | − | 0.777906i | \(-0.716282\pi\) |
0.987877 | + | 0.155241i | \(0.0496153\pi\) | |||||||
\(314\) | −1.72595 | + | 2.98943i | −0.0974010 | + | 0.168704i | ||||
\(315\) | −12.4388 | −0.700847 | ||||||||
\(316\) | −7.04727 | −0.396440 | ||||||||
\(317\) | 16.4545 | − | 28.5001i | 0.924178 | − | 1.60072i | 0.131301 | − | 0.991343i | \(-0.458084\pi\) |
0.792877 | − | 0.609382i | \(-0.208582\pi\) | |||||||
\(318\) | 0.198456 | + | 0.343736i | 0.0111288 | + | 0.0192757i | ||||
\(319\) | −6.85836 | + | 11.8790i | −0.383994 | + | 0.665098i | ||||
\(320\) | −2.16259 | − | 3.74571i | −0.120892 | − | 0.209392i | ||||
\(321\) | −2.81909 | − | 4.88281i | −0.157346 | − | 0.272532i | ||||
\(322\) | 1.77445 | 0.0988863 | ||||||||
\(323\) | 1.01263 | − | 27.1291i | 0.0563445 | − | 1.50950i | ||||
\(324\) | 7.89855 | 0.438808 | ||||||||
\(325\) | 5.49345 | + | 9.51494i | 0.304722 | + | 0.527794i | ||||
\(326\) | 4.32995 | + | 7.49969i | 0.239814 | + | 0.415370i | ||||
\(327\) | 1.27528 | − | 2.20885i | 0.0705232 | − | 0.122150i | ||||
\(328\) | −1.82386 | − | 3.15903i | −0.100706 | − | 0.174428i | ||||
\(329\) | 2.91563 | − | 5.05002i | 0.160744 | − | 0.278417i | ||||
\(330\) | −3.58400 | −0.197293 | ||||||||
\(331\) | −19.0079 | −1.04477 | −0.522384 | − | 0.852710i | \(-0.674957\pi\) | ||||
−0.522384 | + | 0.852710i | \(0.674957\pi\) | |||||||
\(332\) | −7.77799 | + | 13.4719i | −0.426873 | + | 0.739365i | ||||
\(333\) | 15.3147 | − | 26.5259i | 0.839241 | − | 1.45361i | ||||
\(334\) | 6.05944 | 0.331558 | ||||||||
\(335\) | 19.8113 | 1.08240 | ||||||||
\(336\) | −0.176135 | + | 0.305076i | −0.00960898 | + | 0.0166432i | ||||
\(337\) | −14.0957 | − | 24.4145i | −0.767842 | − | 1.32994i | −0.938731 | − | 0.344651i | \(-0.887997\pi\) |
0.170889 | − | 0.985290i | \(-0.445336\pi\) | |||||||
\(338\) | −6.17876 | + | 10.7019i | −0.336080 | + | 0.582108i | ||||
\(339\) | −0.260040 | − | 0.450403i | −0.0141235 | − | 0.0244625i | ||||
\(340\) | −13.4690 | − | 23.3290i | −0.730458 | − | 1.26519i | ||||
\(341\) | −12.0594 | −0.653055 | ||||||||
\(342\) | 10.6150 | + | 6.66847i | 0.573991 | + | 0.360590i | ||||
\(343\) | 1.00000 | 0.0539949 | ||||||||
\(344\) | 0.436639 | + | 0.756280i | 0.0235420 | + | 0.0407759i | ||||
\(345\) | 1.35181 | + | 2.34140i | 0.0727789 | + | 0.126057i | ||||
\(346\) | 7.81295 | − | 13.5324i | 0.420027 | − | 0.727507i | ||||
\(347\) | −11.3646 | − | 19.6840i | −0.610083 | − | 1.05669i | −0.991226 | − | 0.132178i | \(-0.957803\pi\) |
0.381143 | − | 0.924516i | \(-0.375531\pi\) | |||||||
\(348\) | −1.02709 | + | 1.77898i | −0.0550579 | + | 0.0953631i | ||||
\(349\) | −4.72981 | −0.253181 | −0.126590 | − | 0.991955i | \(-0.540403\pi\) | ||||
−0.126590 | + | 0.991955i | \(0.540403\pi\) | |||||||
\(350\) | −13.7072 | −0.732679 | ||||||||
\(351\) | −0.829562 | + | 1.43684i | −0.0442788 | + | 0.0766931i | ||||
\(352\) | 1.17614 | − | 2.03713i | 0.0626882 | − | 0.108579i | ||||
\(353\) | −5.76135 | −0.306646 | −0.153323 | − | 0.988176i | \(-0.548997\pi\) | ||||
−0.153323 | + | 0.988176i | \(0.548997\pi\) | |||||||
\(354\) | 5.00263 | 0.265887 | ||||||||
\(355\) | −30.2819 | + | 52.4498i | −1.60720 | + | 2.78375i | ||||
\(356\) | −3.64773 | − | 6.31805i | −0.193329 | − | 0.334856i | ||||
\(357\) | −1.09700 | + | 1.90006i | −0.0580595 | + | 0.100562i | ||||
\(358\) | 5.69977 | + | 9.87229i | 0.301242 | + | 0.521767i | ||||
\(359\) | 9.97554 | + | 17.2781i | 0.526489 | + | 0.911905i | 0.999524 | + | 0.0308615i | \(0.00982507\pi\) |
−0.473035 | + | 0.881044i | \(0.656842\pi\) | |||||||
\(360\) | 12.4388 | 0.655583 | ||||||||
\(361\) | 8.24690 | + | 17.1169i | 0.434047 | + | 0.900890i | ||||
\(362\) | −3.27791 | −0.172283 | ||||||||
\(363\) | 0.962901 | + | 1.66779i | 0.0505392 | + | 0.0875365i | ||||
\(364\) | 0.400772 | + | 0.694158i | 0.0210062 | + | 0.0363837i | ||||
\(365\) | 19.9624 | − | 34.5760i | 1.04488 | − | 1.80979i | ||||
\(366\) | −0.479457 | − | 0.830443i | −0.0250616 | − | 0.0434080i | ||||
\(367\) | 0.620174 | − | 1.07417i | 0.0323728 | − | 0.0560714i | −0.849385 | − | 0.527774i | \(-0.823027\pi\) |
0.881758 | + | 0.471702i | \(0.156360\pi\) | |||||||
\(368\) | −1.77445 | −0.0924997 | ||||||||
\(369\) | 10.4905 | 0.546115 | ||||||||
\(370\) | 23.0323 | − | 39.8932i | 1.19739 | − | 2.07395i | ||||
\(371\) | −0.563361 | + | 0.975771i | −0.0292483 | + | 0.0506595i | ||||
\(372\) | −1.80600 | −0.0936365 | ||||||||
\(373\) | 24.8733 | 1.28789 | 0.643945 | − | 0.765072i | \(-0.277297\pi\) | ||||
0.643945 | + | 0.765072i | \(0.277297\pi\) | |||||||
\(374\) | 7.32518 | − | 12.6876i | 0.378776 | − | 0.656059i | ||||
\(375\) | −6.63327 | − | 11.4892i | −0.342541 | − | 0.593298i | ||||
\(376\) | −2.91563 | + | 5.05002i | −0.150362 | + | 0.260435i | ||||
\(377\) | 2.33701 | + | 4.04782i | 0.120362 | + | 0.208473i | ||||
\(378\) | −1.03496 | − | 1.79259i | −0.0532323 | − | 0.0922011i | ||||
\(379\) | 32.4274 | 1.66569 | 0.832843 | − | 0.553510i | \(-0.186712\pi\) | ||||
0.832843 | + | 0.553510i | \(0.186712\pi\) | |||||||
\(380\) | 15.9642 | + | 10.0290i | 0.818947 | + | 0.514475i | ||||
\(381\) | −2.19493 | −0.112450 | ||||||||
\(382\) | −1.61932 | − | 2.80475i | −0.0828518 | − | 0.143503i | ||||
\(383\) | 7.25527 | + | 12.5665i | 0.370727 | + | 0.642118i | 0.989678 | − | 0.143312i | \(-0.0457753\pi\) |
−0.618951 | + | 0.785430i | \(0.712442\pi\) | |||||||
\(384\) | 0.176135 | − | 0.305076i | 0.00898837 | − | 0.0155683i | ||||
\(385\) | −5.08700 | − | 8.81094i | −0.259257 | − | 0.449047i | ||||
\(386\) | 6.02841 | − | 10.4415i | 0.306838 | − | 0.531459i | ||||
\(387\) | −2.51146 | −0.127665 | ||||||||
\(388\) | 3.05681 | 0.155186 | ||||||||
\(389\) | −12.7618 | + | 22.1041i | −0.647050 | + | 1.12072i | 0.336774 | + | 0.941585i | \(0.390664\pi\) |
−0.983824 | + | 0.179138i | \(0.942669\pi\) | |||||||
\(390\) | −0.610630 | + | 1.05764i | −0.0309205 | + | 0.0535558i | ||||
\(391\) | −11.0516 | −0.558903 | ||||||||
\(392\) | −1.00000 | −0.0505076 | ||||||||
\(393\) | 0.645585 | − | 1.11819i | 0.0325655 | − | 0.0564050i | ||||
\(394\) | −10.4690 | − | 18.1328i | −0.527420 | − | 0.913518i | ||||
\(395\) | 15.2403 | − | 26.3971i | 0.766825 | − | 1.32818i | ||||
\(396\) | 3.38245 | + | 5.85858i | 0.169975 | + | 0.294405i | ||||
\(397\) | −5.81863 | − | 10.0782i | −0.292029 | − | 0.505808i | 0.682261 | − | 0.731109i | \(-0.260997\pi\) |
−0.974289 | + | 0.225301i | \(0.927664\pi\) | |||||||
\(398\) | −9.12672 | −0.457481 | ||||||||
\(399\) | 0.0572755 | − | 1.53444i | 0.00286736 | − | 0.0768183i | ||||
\(400\) | 13.7072 | 0.685358 | ||||||||
\(401\) | 12.5870 | + | 21.8013i | 0.628565 | + | 1.08871i | 0.987840 | + | 0.155474i | \(0.0496905\pi\) |
−0.359275 | + | 0.933232i | \(0.616976\pi\) | |||||||
\(402\) | 0.806779 | + | 1.39738i | 0.0402385 | + | 0.0696951i | ||||
\(403\) | −2.05465 | + | 3.55875i | −0.102349 | + | 0.177274i | ||||
\(404\) | −0.761817 | − | 1.31951i | −0.0379018 | − | 0.0656479i | ||||
\(405\) | −17.0813 | + | 29.5857i | −0.848777 | + | 1.47013i | ||||
\(406\) | −5.83126 | −0.289401 | ||||||||
\(407\) | 25.0525 | 1.24181 | ||||||||
\(408\) | 1.09700 | − | 1.90006i | 0.0543097 | − | 0.0940672i | ||||
\(409\) | −15.8139 | + | 27.3904i | −0.781945 | + | 1.35437i | 0.148862 | + | 0.988858i | \(0.452439\pi\) |
−0.930807 | + | 0.365510i | \(0.880894\pi\) | |||||||
\(410\) | 15.7771 | 0.779174 | ||||||||
\(411\) | 1.19663 | 0.0590256 | ||||||||
\(412\) | 5.76182 | − | 9.97976i | 0.283864 | − | 0.491667i | ||||
\(413\) | 7.10054 | + | 12.2985i | 0.349395 | + | 0.605170i | ||||
\(414\) | 2.55158 | − | 4.41946i | 0.125403 | − | 0.217205i | ||||
\(415\) | −33.6412 | − | 58.2683i | −1.65138 | − | 2.86028i | ||||
\(416\) | −0.400772 | − | 0.694158i | −0.0196495 | − | 0.0340339i | ||||
\(417\) | −1.83062 | −0.0896460 | ||||||||
\(418\) | −0.382454 | + | 10.2462i | −0.0187064 | + | 0.501157i | ||||
\(419\) | −19.9205 | −0.973182 | −0.486591 | − | 0.873630i | \(-0.661760\pi\) | ||||
−0.486591 | + | 0.873630i | \(0.661760\pi\) | |||||||
\(420\) | −0.761817 | − | 1.31951i | −0.0371729 | − | 0.0643853i | ||||
\(421\) | −7.21372 | − | 12.4945i | −0.351575 | − | 0.608946i | 0.634950 | − | 0.772553i | \(-0.281020\pi\) |
−0.986526 | + | 0.163607i | \(0.947687\pi\) | |||||||
\(422\) | −2.00000 | + | 3.46410i | −0.0973585 | + | 0.168630i | ||||
\(423\) | −8.38508 | − | 14.5234i | −0.407697 | − | 0.706151i | ||||
\(424\) | 0.563361 | − | 0.975771i | 0.0273592 | − | 0.0473876i | ||||
\(425\) | 85.3707 | 4.14109 | ||||||||
\(426\) | −4.93272 | −0.238991 | ||||||||
\(427\) | 1.36105 | − | 2.35740i | 0.0658656 | − | 0.114083i | ||||
\(428\) | −8.00263 | + | 13.8610i | −0.386822 | + | 0.669995i | ||||
\(429\) | −0.664189 | −0.0320673 | ||||||||
\(430\) | −3.77708 | −0.182147 | ||||||||
\(431\) | 7.32518 | − | 12.6876i | 0.352841 | − | 0.611139i | −0.633905 | − | 0.773411i | \(-0.718549\pi\) |
0.986746 | + | 0.162272i | \(0.0518822\pi\) | |||||||
\(432\) | 1.03496 | + | 1.79259i | 0.0497943 | + | 0.0862463i | ||||
\(433\) | 9.00217 | − | 15.5922i | 0.432616 | − | 0.749314i | −0.564481 | − | 0.825446i | \(-0.690924\pi\) |
0.997098 | + | 0.0761322i | \(0.0242571\pi\) | |||||||
\(434\) | −2.56336 | − | 4.43987i | −0.123045 | − | 0.213121i | ||||
\(435\) | −4.44236 | − | 7.69439i | −0.212995 | − | 0.368918i | ||||
\(436\) | −7.24035 | −0.346750 | ||||||||
\(437\) | 6.83800 | − | 3.61478i | 0.327106 | − | 0.172919i | ||||
\(438\) | 3.25174 | 0.155374 | ||||||||
\(439\) | 10.8168 | + | 18.7353i | 0.516258 | + | 0.894185i | 0.999822 | + | 0.0188760i | \(0.00600878\pi\) |
−0.483564 | + | 0.875309i | \(0.660658\pi\) | |||||||
\(440\) | 5.08700 | + | 8.81094i | 0.242513 | + | 0.420045i | ||||
\(441\) | 1.43795 | − | 2.49061i | 0.0684739 | − | 0.118600i | ||||
\(442\) | −2.49608 | − | 4.32334i | −0.118726 | − | 0.205640i | ||||
\(443\) | 1.72732 | − | 2.99181i | 0.0820677 | − | 0.142145i | −0.822070 | − | 0.569386i | \(-0.807181\pi\) |
0.904138 | + | 0.427241i | \(0.140514\pi\) | |||||||
\(444\) | 3.75181 | 0.178053 | ||||||||
\(445\) | 31.5542 | 1.49581 | ||||||||
\(446\) | −6.12672 | + | 10.6118i | −0.290109 | + | 0.502483i | ||||
\(447\) | −2.58045 | + | 4.46947i | −0.122051 | + | 0.211398i | ||||
\(448\) | 1.00000 | 0.0472456 | ||||||||
\(449\) | −19.5069 | −0.920587 | −0.460294 | − | 0.887767i | \(-0.652256\pi\) | ||||
−0.460294 | + | 0.887767i | \(0.652256\pi\) | |||||||
\(450\) | −19.7103 | + | 34.1392i | −0.929151 | + | 1.60934i | ||||
\(451\) | 4.29022 | + | 7.43089i | 0.202019 | + | 0.349907i | ||||
\(452\) | −0.738183 | + | 1.27857i | −0.0347212 | + | 0.0601389i | ||||
\(453\) | −0.962901 | − | 1.66779i | −0.0452410 | − | 0.0783598i | ||||
\(454\) | −11.6765 | − | 20.2244i | −0.548007 | − | 0.949176i | ||||
\(455\) | −3.46682 | −0.162527 | ||||||||
\(456\) | −0.0572755 | + | 1.53444i | −0.00268217 | + | 0.0718569i | ||||
\(457\) | −13.2876 | −0.621568 | −0.310784 | − | 0.950480i | \(-0.600592\pi\) | ||||
−0.310784 | + | 0.950480i | \(0.600592\pi\) | |||||||
\(458\) | −12.9415 | − | 22.4153i | −0.604716 | − | 1.04740i | ||||
\(459\) | 6.44588 | + | 11.1646i | 0.300868 | + | 0.521119i | ||||
\(460\) | 3.83741 | − | 6.64659i | 0.178920 | − | 0.309899i | ||||
\(461\) | −8.09577 | − | 14.0223i | −0.377058 | − | 0.653083i | 0.613575 | − | 0.789636i | \(-0.289731\pi\) |
−0.990633 | + | 0.136553i | \(0.956397\pi\) | |||||||
\(462\) | 0.414318 | − | 0.717620i | 0.0192758 | − | 0.0333867i | ||||
\(463\) | 21.5010 | 0.999236 | 0.499618 | − | 0.866246i | \(-0.333474\pi\) | ||||
0.499618 | + | 0.866246i | \(0.333474\pi\) | |||||||
\(464\) | 5.83126 | 0.270710 | ||||||||
\(465\) | 3.90563 | − | 6.76474i | 0.181119 | − | 0.313707i | ||||
\(466\) | −1.30154 | + | 2.25434i | −0.0602929 | + | 0.104430i | ||||
\(467\) | −7.95536 | −0.368130 | −0.184065 | − | 0.982914i | \(-0.558926\pi\) | ||||
−0.184065 | + | 0.982914i | \(0.558926\pi\) | |||||||
\(468\) | 2.30517 | 0.106556 | ||||||||
\(469\) | −2.29022 | + | 3.96678i | −0.105753 | + | 0.183169i | ||||
\(470\) | −12.6106 | − | 21.8423i | −0.581685 | − | 1.00751i | ||||
\(471\) | 0.608002 | − | 1.05309i | 0.0280153 | − | 0.0485239i | ||||
\(472\) | −7.10054 | − | 12.2985i | −0.326829 | − | 0.566084i | ||||
\(473\) | −1.02709 | − | 1.77898i | −0.0472258 | − | 0.0817974i | ||||
\(474\) | 2.48255 | 0.114027 | ||||||||
\(475\) | −52.8217 | + | 27.9232i | −2.42363 | + | 1.28121i | ||||
\(476\) | 6.22818 | 0.285468 | ||||||||
\(477\) | 1.62017 | + | 2.80622i | 0.0741827 | + | 0.128488i | ||||
\(478\) | −11.6390 | − | 20.1594i | −0.532357 | − | 0.922070i | ||||
\(479\) | 13.3178 | − | 23.0671i | 0.608506 | − | 1.05396i | −0.382981 | − | 0.923756i | \(-0.625103\pi\) |
0.991487 | − | 0.130207i | \(-0.0415641\pi\) | |||||||
\(480\) | 0.761817 | + | 1.31951i | 0.0347720 | + | 0.0602269i | ||||
\(481\) | 4.26837 | − | 7.39303i | 0.194621 | − | 0.337093i | ||||
\(482\) | 8.94319 | 0.407351 | ||||||||
\(483\) | −0.625088 | −0.0284425 | ||||||||
\(484\) | 2.73341 | − | 4.73441i | 0.124246 | − | 0.215200i | ||||
\(485\) | −6.61063 | + | 11.4499i | −0.300173 | + | 0.519915i | ||||
\(486\) | −8.99216 | −0.407893 | ||||||||
\(487\) | 5.34964 | 0.242415 | 0.121208 | − | 0.992627i | \(-0.461323\pi\) | ||||
0.121208 | + | 0.992627i | \(0.461323\pi\) | |||||||
\(488\) | −1.36105 | + | 2.35740i | −0.0616116 | + | 0.106714i | ||||
\(489\) | −1.52532 | − | 2.64192i | −0.0689771 | − | 0.119472i | ||||
\(490\) | 2.16259 | − | 3.74571i | 0.0976958 | − | 0.169214i | ||||
\(491\) | −0.228176 | − | 0.395213i | −0.0102974 | − | 0.0178357i | 0.860831 | − | 0.508891i | \(-0.169945\pi\) |
−0.871128 | + | 0.491056i | \(0.836611\pi\) | |||||||
\(492\) | 0.642494 | + | 1.11283i | 0.0289659 | + | 0.0501704i | ||||
\(493\) | 36.3181 | 1.63569 | ||||||||
\(494\) | 2.95850 | + | 1.85857i | 0.133109 | + | 0.0836211i | ||||
\(495\) | −29.2594 | −1.31511 | ||||||||
\(496\) | 2.56336 | + | 4.43987i | 0.115098 | + | 0.199356i | ||||
\(497\) | −7.00131 | − | 12.1266i | −0.314052 | − | 0.543954i | ||||
\(498\) | 2.73996 | − | 4.74575i | 0.122781 | − | 0.212662i | ||||
\(499\) | 2.99523 | + | 5.18789i | 0.134085 | + | 0.232242i | 0.925247 | − | 0.379364i | \(-0.123857\pi\) |
−0.791163 | + | 0.611606i | \(0.790524\pi\) | |||||||
\(500\) | −18.8300 | + | 32.6146i | −0.842105 | + | 1.45857i | ||||
\(501\) | −2.13456 | −0.0953653 | ||||||||
\(502\) | −27.3872 | −1.22235 | ||||||||
\(503\) | −14.1464 | + | 24.5023i | −0.630758 | + | 1.09251i | 0.356639 | + | 0.934242i | \(0.383923\pi\) |
−0.987397 | + | 0.158263i | \(0.949411\pi\) | |||||||
\(504\) | −1.43795 | + | 2.49061i | −0.0640515 | + | 0.110940i | ||||
\(505\) | 6.58999 | 0.293251 | ||||||||
\(506\) | 4.17399 | 0.185557 | ||||||||
\(507\) | 2.17660 | − | 3.76998i | 0.0966661 | − | 0.167431i | ||||
\(508\) | 3.11540 | + | 5.39603i | 0.138224 | + | 0.239410i | ||||
\(509\) | −9.54949 | + | 16.5402i | −0.423274 | + | 0.733132i | −0.996257 | − | 0.0864349i | \(-0.972453\pi\) |
0.572984 | + | 0.819567i | \(0.305786\pi\) | |||||||
\(510\) | 4.74473 | + | 8.21812i | 0.210100 | + | 0.363904i | ||||
\(511\) | 4.61540 | + | 7.99411i | 0.204173 | + | 0.353639i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | −7.64003 | − | 4.79958i | −0.337316 | − | 0.211907i | ||||
\(514\) | −8.49209 | −0.374570 | ||||||||
\(515\) | 24.9209 | + | 43.1642i | 1.09815 | + | 1.90204i | ||||
\(516\) | −0.153815 | − | 0.266415i | −0.00677133 | − | 0.0117283i | ||||
\(517\) | 6.85836 | − | 11.8790i | 0.301630 | − | 0.522439i | ||||
\(518\) | 5.32518 | + | 9.22348i | 0.233975 | + | 0.405256i | ||||
\(519\) | −2.75227 | + | 4.76708i | −0.120811 | + | 0.209251i | ||||
\(520\) | 3.46682 | 0.152030 | ||||||||
\(521\) | 24.1294 | 1.05713 | 0.528563 | − | 0.848894i | \(-0.322731\pi\) | ||||
0.528563 | + | 0.848894i | \(0.322731\pi\) | |||||||
\(522\) | −8.38508 | + | 14.5234i | −0.367005 | + | 0.635671i | ||||
\(523\) | 5.96027 | − | 10.3235i | 0.260625 | − | 0.451415i | −0.705783 | − | 0.708428i | \(-0.749405\pi\) |
0.966408 | + | 0.257013i | \(0.0827382\pi\) | |||||||
\(524\) | −3.66528 | −0.160118 | ||||||||
\(525\) | 4.82864 | 0.210739 | ||||||||
\(526\) | −2.87459 | + | 4.97894i | −0.125338 | + | 0.217092i | ||||
\(527\) | 15.9651 | + | 27.6523i | 0.695449 | + | 1.20455i | ||||
\(528\) | −0.414318 | + | 0.717620i | −0.0180309 | + | 0.0312304i | ||||
\(529\) | 9.92566 | + | 17.1917i | 0.431550 | + | 0.747467i | ||||
\(530\) | 2.43664 | + | 4.22038i | 0.105841 | + | 0.183322i | ||||
\(531\) | 40.8410 | 1.77235 | ||||||||
\(532\) | −3.85358 | + | 2.03713i | −0.167074 | + | 0.0883206i | ||||
\(533\) | 2.92382 | 0.126645 | ||||||||
\(534\) | 1.28499 | + | 2.22567i | 0.0556069 | + | 0.0963140i | ||||
\(535\) | −34.6128 | − | 59.9511i | −1.49644 | − | 2.59191i | ||||
\(536\) | 2.29022 | − | 3.96678i | 0.0989226 | − | 0.171339i | ||||
\(537\) | −2.00786 | − | 3.47772i | −0.0866457 | − | 0.150075i | ||||
\(538\) | −4.21109 | + | 7.29382i | −0.181553 | + | 0.314459i | ||||
\(539\) | 2.35227 | 0.101319 | ||||||||
\(540\) | −8.95273 | −0.385264 | ||||||||
\(541\) | −5.92055 | + | 10.2547i | −0.254544 | + | 0.440883i | −0.964772 | − | 0.263089i | \(-0.915259\pi\) |
0.710227 | + | 0.703972i | \(0.248592\pi\) | |||||||
\(542\) | 10.3649 | − | 17.9525i | 0.445211 | − | 0.771128i | ||||
\(543\) | 1.15471 | 0.0495534 | ||||||||
\(544\) | −6.22818 | −0.267031 | ||||||||
\(545\) | 15.6579 | − | 27.1203i | 0.670711 | − | 1.16171i | ||||
\(546\) | −0.141180 | − | 0.244532i | −0.00604196 | − | 0.0104650i | ||||
\(547\) | −17.7374 | + | 30.7220i | −0.758394 | + | 1.31358i | 0.185275 | + | 0.982687i | \(0.440683\pi\) |
−0.943669 | + | 0.330891i | \(0.892651\pi\) | |||||||
\(548\) | −1.69846 | − | 2.94181i | −0.0725544 | − | 0.125668i | ||||
\(549\) | −3.91424 | − | 6.77966i | −0.167056 | − | 0.289349i | ||||
\(550\) | −32.2430 | −1.37485 | ||||||||
\(551\) | −22.4713 | + | 11.8790i | −0.957308 | + | 0.506063i | ||||
\(552\) | 0.625088 | 0.0266055 | ||||||||
\(553\) | 3.52363 | + | 6.10311i | 0.149840 | + | 0.259531i | ||||
\(554\) | 8.72209 | + | 15.1071i | 0.370566 | + | 0.641839i | ||||
\(555\) | −8.11363 | + | 14.0532i | −0.344404 | + | 0.596526i | ||||
\(556\) | 2.59832 | + | 4.50042i | 0.110193 | + | 0.190860i | ||||
\(557\) | −5.84881 | + | 10.1304i | −0.247822 | + | 0.429241i | −0.962921 | − | 0.269782i | \(-0.913048\pi\) |
0.715099 | + | 0.699023i | \(0.246382\pi\) | |||||||
\(558\) | −14.7440 | −0.624162 | ||||||||
\(559\) | −0.699970 | −0.0296056 | ||||||||
\(560\) | −2.16259 | + | 3.74571i | −0.0913861 | + | 0.158285i | ||||
\(561\) | −2.58045 | + | 4.46947i | −0.108947 | + | 0.188701i | ||||
\(562\) | −2.12409 | −0.0895995 | ||||||||
\(563\) | −12.2562 | −0.516537 | −0.258268 | − | 0.966073i | \(-0.583152\pi\) | ||||
−0.258268 | + | 0.966073i | \(0.583152\pi\) | |||||||
\(564\) | 1.02709 | − | 1.77898i | 0.0432484 | − | 0.0749084i | ||||
\(565\) | −3.19277 | − | 5.53004i | −0.134321 | − | 0.232651i | ||||
\(566\) | −13.8348 | + | 23.9626i | −0.581520 | + | 1.00722i | ||||
\(567\) | −3.94927 | − | 6.84034i | −0.165854 | − | 0.287267i | ||||
\(568\) | 7.00131 | + | 12.1266i | 0.293769 | + | 0.508822i | ||||
\(569\) | 5.80862 | 0.243510 | 0.121755 | − | 0.992560i | \(-0.461148\pi\) | ||||
0.121755 | + | 0.992560i | \(0.461148\pi\) | |||||||
\(570\) | −5.62373 | − | 3.53291i | −0.235552 | − | 0.147977i | ||||
\(571\) | 37.2308 | 1.55806 | 0.779030 | − | 0.626986i | \(-0.215712\pi\) | ||||
0.779030 | + | 0.626986i | \(0.215712\pi\) | |||||||
\(572\) | 0.942725 | + | 1.63285i | 0.0394173 | + | 0.0682728i | ||||
\(573\) | 0.570440 | + | 0.988032i | 0.0238305 | + | 0.0412756i | ||||
\(574\) | −1.82386 | + | 3.15903i | −0.0761266 | + | 0.131855i | ||||
\(575\) | 12.1614 | + | 21.0641i | 0.507164 | + | 0.878433i | ||||
\(576\) | 1.43795 | − | 2.49061i | 0.0599147 | − | 0.103775i | ||||
\(577\) | −17.3444 | −0.722058 | −0.361029 | − | 0.932555i | \(-0.617574\pi\) | ||||
−0.361029 | + | 0.932555i | \(0.617574\pi\) | |||||||
\(578\) | −21.7902 | −0.906352 | ||||||||
\(579\) | −2.12363 | + | 3.67824i | −0.0882551 | + | 0.152862i | ||||
\(580\) | −12.6106 | + | 21.8423i | −0.523628 | + | 0.906950i | ||||
\(581\) | 15.5560 | 0.645371 | ||||||||
\(582\) | −1.07683 | −0.0446359 | ||||||||
\(583\) | −1.32518 | + | 2.29528i | −0.0548833 | + | 0.0950606i | ||||
\(584\) | −4.61540 | − | 7.99411i | −0.190987 | − | 0.330799i | ||||
\(585\) | −4.98513 | + | 8.63449i | −0.206110 | + | 0.356992i | ||||
\(586\) | −6.61631 | − | 11.4598i | −0.273317 | − | 0.473400i | ||||
\(587\) | 16.8781 | + | 29.2337i | 0.696633 | + | 1.20660i | 0.969627 | + | 0.244587i | \(0.0786525\pi\) |
−0.272995 | + | 0.962016i | \(0.588014\pi\) | |||||||
\(588\) | 0.352271 | 0.0145274 | ||||||||
\(589\) | −18.9227 | − | 11.8875i | −0.779697 | − | 0.489817i | ||||
\(590\) | 61.4222 | 2.52871 | ||||||||
\(591\) | 3.68792 | + | 6.38766i | 0.151701 | + | 0.262753i | ||||
\(592\) | −5.32518 | − | 9.22348i | −0.218863 | − | 0.379083i | ||||
\(593\) | 7.75395 | − | 13.4302i | 0.318417 | − | 0.551514i | −0.661741 | − | 0.749732i | \(-0.730182\pi\) |
0.980158 | + | 0.198218i | \(0.0635155\pi\) | |||||||
\(594\) | −2.43449 | − | 4.21667i | −0.0998885 | − | 0.173012i | ||||
\(595\) | −13.4690 | + | 23.3290i | −0.552175 | + | 0.956395i | ||||
\(596\) | 14.6504 | 0.600102 | ||||||||
\(597\) | 3.21508 | 0.131584 | ||||||||
\(598\) | 0.711151 | − | 1.23175i | 0.0290811 | − | 0.0503700i | ||||
\(599\) | −19.0608 | + | 33.0142i | −0.778801 | + | 1.34892i | 0.153832 | + | 0.988097i | \(0.450839\pi\) |
−0.932633 | + | 0.360826i | \(0.882495\pi\) | |||||||
\(600\) | −4.82864 | −0.197128 | ||||||||
\(601\) | 13.4799 | 0.549857 | 0.274929 | − | 0.961465i | \(-0.411346\pi\) | ||||
0.274929 | + | 0.961465i | \(0.411346\pi\) | |||||||
\(602\) | 0.436639 | − | 0.756280i | 0.0177961 | − | 0.0308237i | ||||
\(603\) | 6.58647 | + | 11.4081i | 0.268222 | + | 0.464573i | ||||
\(604\) | −2.73341 | + | 4.73441i | −0.111221 | + | 0.192640i | ||||
\(605\) | 11.8225 | + | 20.4772i | 0.480653 | + | 0.832515i | ||||
\(606\) | 0.268366 | + | 0.464824i | 0.0109016 | + | 0.0188822i | ||||
\(607\) | −6.25345 | −0.253820 | −0.126910 | − | 0.991914i | \(-0.540506\pi\) | ||||
−0.126910 | + | 0.991914i | \(0.540506\pi\) | |||||||
\(608\) | 3.85358 | − | 2.03713i | 0.156284 | − | 0.0826164i | ||||
\(609\) | 2.05418 | 0.0832398 | ||||||||
\(610\) | −5.88676 | − | 10.1962i | −0.238348 | − | 0.412831i | ||||
\(611\) | −2.33701 | − | 4.04782i | −0.0945452 | − | 0.163757i | ||||
\(612\) | 8.95582 | − | 15.5119i | 0.362018 | − | 0.627033i | ||||
\(613\) | −2.75999 | − | 4.78045i | −0.111475 | − | 0.193081i | 0.804890 | − | 0.593424i | \(-0.202224\pi\) |
−0.916365 | + | 0.400343i | \(0.868891\pi\) | |||||||
\(614\) | 12.4699 | − | 21.5985i | 0.503244 | − | 0.871644i | ||||
\(615\) | −5.55781 | −0.224112 | ||||||||
\(616\) | −2.35227 | −0.0947757 | ||||||||
\(617\) | −11.3912 | + | 19.7301i | −0.458591 | + | 0.794303i | −0.998887 | − | 0.0471721i | \(-0.984979\pi\) |
0.540296 | + | 0.841475i | \(0.318312\pi\) | |||||||
\(618\) | −2.02972 | + | 3.51558i | −0.0816473 | + | 0.141417i | ||||
\(619\) | −10.6879 | −0.429584 | −0.214792 | − | 0.976660i | \(-0.568907\pi\) | ||||
−0.214792 | + | 0.976660i | \(0.568907\pi\) | |||||||
\(620\) | −22.1740 | −0.890529 | ||||||||
\(621\) | −1.83648 | + | 3.18087i | −0.0736953 | + | 0.127644i | ||||
\(622\) | 7.97291 | + | 13.8095i | 0.319684 | + | 0.553710i | ||||
\(623\) | −3.64773 | + | 6.31805i | −0.146143 | + | 0.253127i | ||||
\(624\) | 0.141180 | + | 0.244532i | 0.00565174 | + | 0.00978909i | ||||
\(625\) | −47.1753 | − | 81.7101i | −1.88701 | − | 3.26840i | ||||
\(626\) | 12.7203 | 0.508404 | ||||||||
\(627\) | 0.134727 | − | 3.60943i | 0.00538049 | − | 0.144147i | ||||
\(628\) | −3.45190 | −0.137746 | ||||||||
\(629\) | −33.1661 | − | 57.4455i | −1.32242 | − | 2.29050i | ||||
\(630\) | −6.21940 | − | 10.7723i | −0.247787 | − | 0.429180i | ||||
\(631\) | 10.2534 | − | 17.7595i | 0.408183 | − | 0.706994i | −0.586503 | − | 0.809947i | \(-0.699496\pi\) |
0.994686 | + | 0.102953i | \(0.0328291\pi\) | |||||||
\(632\) | −3.52363 | − | 6.10311i | −0.140163 | − | 0.242769i | ||||
\(633\) | 0.704542 | − | 1.22030i | 0.0280030 | − | 0.0485027i | ||||
\(634\) | 32.9091 | 1.30699 | ||||||||
\(635\) | −26.9493 | −1.06945 | ||||||||
\(636\) | −0.198456 | + | 0.343736i | −0.00786928 | + | 0.0136300i | ||||
\(637\) | 0.400772 | − | 0.694158i | 0.0158792 | − | 0.0275035i | ||||
\(638\) | −13.7167 | −0.543050 | ||||||||
\(639\) | −40.2702 | −1.59307 | ||||||||
\(640\) | 2.16259 | − | 3.74571i | 0.0854838 | − | 0.148062i | ||||
\(641\) | −11.1508 | − | 19.3138i | −0.440431 | − | 0.762849i | 0.557290 | − | 0.830318i | \(-0.311841\pi\) |
−0.997721 | + | 0.0674689i | \(0.978508\pi\) | |||||||
\(642\) | 2.81909 | − | 4.88281i | 0.111261 | − | 0.192709i | ||||
\(643\) | 1.39600 | + | 2.41794i | 0.0550529 | + | 0.0953544i | 0.892238 | − | 0.451565i | \(-0.149134\pi\) |
−0.837186 | + | 0.546919i | \(0.815801\pi\) | |||||||
\(644\) | 0.887226 | + | 1.53672i | 0.0349616 | + | 0.0605553i | ||||
\(645\) | 1.33056 | 0.0523906 | ||||||||
\(646\) | 24.0008 | − | 12.6876i | 0.944299 | − | 0.499186i | ||||
\(647\) | −5.69144 | −0.223754 | −0.111877 | − | 0.993722i | \(-0.535686\pi\) | ||||
−0.111877 | + | 0.993722i | \(0.535686\pi\) | |||||||
\(648\) | 3.94927 | + | 6.84034i | 0.155142 | + | 0.268714i | ||||
\(649\) | 16.7024 | + | 28.9294i | 0.655626 | + | 1.13558i | ||||
\(650\) | −5.49345 | + | 9.51494i | −0.215471 | + | 0.373207i | ||||
\(651\) | 0.902998 | + | 1.56404i | 0.0353913 | + | 0.0612995i | ||||
\(652\) | −4.32995 | + | 7.49969i | −0.169574 | + | 0.293711i | ||||
\(653\) | 0.485267 | 0.0189900 | 0.00949499 | − | 0.999955i | \(-0.496978\pi\) | ||||
0.00949499 | + | 0.999955i | \(0.496978\pi\) | |||||||
\(654\) | 2.55056 | 0.0997349 | ||||||||
\(655\) | 7.92649 | − | 13.7291i | 0.309714 | − | 0.536440i | ||||
\(656\) | 1.82386 | − | 3.15903i | 0.0712099 | − | 0.123339i | ||||
\(657\) | 26.5469 | 1.03569 | ||||||||
\(658\) | 5.83126 | 0.227326 | ||||||||
\(659\) | 8.90117 | − | 15.4173i | 0.346741 | − | 0.600572i | −0.638928 | − | 0.769267i | \(-0.720622\pi\) |
0.985668 | + | 0.168694i | \(0.0539551\pi\) | |||||||
\(660\) | −1.79200 | − | 3.10384i | −0.0697535 | − | 0.120817i | ||||
\(661\) | −9.93967 | + | 17.2160i | −0.386608 | + | 0.669625i | −0.991991 | − | 0.126309i | \(-0.959687\pi\) |
0.605383 | + | 0.795935i | \(0.293020\pi\) | |||||||
\(662\) | −9.50394 | − | 16.4613i | −0.369381 | − | 0.639787i | ||||
\(663\) | 0.879296 | + | 1.52299i | 0.0341490 | + | 0.0591478i | ||||
\(664\) | −15.5560 | −0.603689 | ||||||||
\(665\) | 0.703228 | − | 18.8399i | 0.0272700 | − | 0.730580i | ||||
\(666\) | 30.6294 | 1.18687 | ||||||||
\(667\) | 5.17365 | + | 8.96102i | 0.200324 | + | 0.346972i | ||||
\(668\) | 3.02972 | + | 5.24763i | 0.117223 | + | 0.203037i | ||||
\(669\) | 2.15827 | − | 3.73823i | 0.0834434 | − | 0.144528i | ||||
\(670\) | 9.90563 | + | 17.1570i | 0.382688 | + | 0.662835i | ||||
\(671\) | 3.20155 | − | 5.54524i | 0.123594 | − | 0.214072i | ||||
\(672\) | −0.352271 | −0.0135891 | ||||||||
\(673\) | −23.8339 | −0.918729 | −0.459365 | − | 0.888248i | \(-0.651923\pi\) | ||||
−0.459365 | + | 0.888248i | \(0.651923\pi\) | |||||||
\(674\) | 14.0957 | − | 24.4145i | 0.542946 | − | 0.940411i | ||||
\(675\) | 14.1863 | − | 24.5714i | 0.546031 | − | 0.945754i | ||||
\(676\) | −12.3575 | −0.475289 | ||||||||
\(677\) | −24.7893 | −0.952728 | −0.476364 | − | 0.879248i | \(-0.658046\pi\) | ||||
−0.476364 | + | 0.879248i | \(0.658046\pi\) | |||||||
\(678\) | 0.260040 | − | 0.450403i | 0.00998679 | − | 0.0172976i | ||||
\(679\) | −1.52841 | − | 2.64728i | −0.0586549 | − | 0.101593i | ||||
\(680\) | 13.4690 | − | 23.3290i | 0.516512 | − | 0.894625i | ||||
\(681\) | 4.11330 | + | 7.12445i | 0.157622 | + | 0.273010i | ||||
\(682\) | −6.02972 | − | 10.4438i | −0.230890 | − | 0.399913i | ||||
\(683\) | −39.3592 | −1.50604 | −0.753020 | − | 0.657998i | \(-0.771403\pi\) | ||||
−0.753020 | + | 0.657998i | \(0.771403\pi\) | |||||||
\(684\) | −0.467591 | + | 12.5271i | −0.0178788 | + | 0.478984i | ||||
\(685\) | 14.6922 | 0.561362 | ||||||||
\(686\) | 0.500000 | + | 0.866025i | 0.0190901 | + | 0.0330650i | ||||
\(687\) | 4.55891 | + | 7.89626i | 0.173933 | + | 0.301261i | ||||
\(688\) | −0.436639 | + | 0.756280i | −0.0166467 | + | 0.0288329i | ||||
\(689\) | 0.451559 | + | 0.782123i | 0.0172030 | + | 0.0297965i | ||||
\(690\) | −1.35181 | + | 2.34140i | −0.0514625 | + | 0.0891356i | ||||
\(691\) | 27.8226 | 1.05842 | 0.529211 | − | 0.848490i | \(-0.322488\pi\) | ||||
0.529211 | + | 0.848490i | \(0.322488\pi\) | |||||||
\(692\) | 15.6259 | 0.594007 | ||||||||
\(693\) | 3.38245 | − | 5.85858i | 0.128489 | − | 0.222549i | ||||
\(694\) | 11.3646 | − | 19.6840i | 0.431394 | − | 0.747196i | ||||
\(695\) | −22.4764 | −0.852577 | ||||||||
\(696\) | −2.05418 | −0.0778637 | ||||||||
\(697\) | 11.3593 | − | 19.6750i | 0.430266 | − | 0.745243i | ||||
\(698\) | −2.36491 | − | 4.09614i | −0.0895130 | − | 0.155041i | ||||
\(699\) | 0.458496 | − | 0.794139i | 0.0173419 | − | 0.0300371i | ||||
\(700\) | −6.85358 | − | 11.8708i | −0.259041 | − | 0.448672i | ||||
\(701\) | 18.7666 | + | 32.5047i | 0.708805 | + | 1.22769i | 0.965301 | + | 0.261141i | \(0.0840988\pi\) |
−0.256496 | + | 0.966545i | \(0.582568\pi\) | |||||||
\(702\) | −1.65912 | −0.0626196 | ||||||||
\(703\) | 39.3104 | + | 24.6954i | 1.48262 | + | 0.931405i | ||||
\(704\) | 2.35227 | 0.0886545 | ||||||||
\(705\) | 4.44236 | + | 7.69439i | 0.167309 | + | 0.289787i | ||||
\(706\) | −2.88068 | − | 4.98948i | −0.108416 | − | 0.187782i | ||||
\(707\) | −0.761817 | + | 1.31951i | −0.0286511 | + | 0.0496251i | ||||
\(708\) | 2.50131 | + | 4.33240i | 0.0940051 | + | 0.162822i | ||||
\(709\) | −5.69008 | + | 9.85551i | −0.213696 | + | 0.370132i | −0.952868 | − | 0.303384i | \(-0.901883\pi\) |
0.739173 | + | 0.673516i | \(0.235217\pi\) | |||||||
\(710\) | −60.5639 | −2.27292 | ||||||||
\(711\) | 20.2673 | 0.760082 | ||||||||
\(712\) | 3.64773 | − | 6.31805i | 0.136704 | − | 0.236779i | ||||
\(713\) | −4.54856 | + | 7.87834i | −0.170345 | + | 0.295046i | ||||
\(714\) | −2.19400 | −0.0821086 | ||||||||
\(715\) | −8.15490 | −0.304976 | ||||||||
\(716\) | −5.69977 | + | 9.87229i | −0.213010 | + | 0.368945i | ||||
\(717\) | 4.10009 | + | 7.10157i | 0.153121 | + | 0.265213i | ||||
\(718\) | −9.97554 | + | 17.2781i | −0.372284 | + | 0.644814i | ||||
\(719\) | 20.1609 | + | 34.9197i | 0.751874 | + | 1.30228i | 0.946913 | + | 0.321489i | \(0.104183\pi\) |
−0.195039 | + | 0.980796i | \(0.562483\pi\) | |||||||
\(720\) | 6.21940 | + | 10.7723i | 0.231783 | + | 0.401461i | ||||
\(721\) | −11.5236 | −0.429163 | ||||||||
\(722\) | −10.7002 | + | 15.7005i | −0.398221 | + | 0.584311i | ||||
\(723\) | −3.15042 | −0.117166 | ||||||||
\(724\) | −1.63895 | − | 2.83875i | −0.0609113 | − | 0.105501i | ||||
\(725\) | −39.9651 | − | 69.2215i | −1.48427 | − | 2.57082i | ||||
\(726\) | −0.962901 | + | 1.66779i | −0.0357366 | + | 0.0618976i | ||||
\(727\) | −0.778903 | − | 1.34910i | −0.0288879 | − | 0.0500353i | 0.851220 | − | 0.524809i | \(-0.175863\pi\) |
−0.880108 | + | 0.474774i | \(0.842530\pi\) | |||||||
\(728\) | −0.400772 | + | 0.694158i | −0.0148536 | + | 0.0257272i | ||||
\(729\) | −20.5280 | −0.760295 | ||||||||
\(730\) | 39.9249 | 1.47769 | ||||||||
\(731\) | −2.71946 | + | 4.71025i | −0.100583 | + | 0.174215i | ||||
\(732\) | 0.479457 | − | 0.830443i | 0.0177212 | − | 0.0306941i | ||||
\(733\) | −22.7825 | −0.841489 | −0.420745 | − | 0.907179i | \(-0.638231\pi\) | ||||
−0.420745 | + | 0.907179i | \(0.638231\pi\) | |||||||
\(734\) | 1.24035 | 0.0457821 | ||||||||
\(735\) | −0.761817 | + | 1.31951i | −0.0281001 | + | 0.0486707i | ||||
\(736\) | −0.887226 | − | 1.53672i | −0.0327036 | − | 0.0566443i | ||||
\(737\) | −5.38723 | + | 9.33095i | −0.198441 | + | 0.343710i | ||||
\(738\) | 5.24526 | + | 9.08506i | 0.193081 | + | 0.334426i | ||||
\(739\) | 1.32041 | + | 2.28701i | 0.0485719 | + | 0.0841291i | 0.889289 | − | 0.457345i | \(-0.151200\pi\) |
−0.840717 | + | 0.541474i | \(0.817866\pi\) | |||||||
\(740\) | 46.0647 | 1.69337 | ||||||||
\(741\) | −1.04219 | − | 0.654721i | −0.0382859 | − | 0.0240518i | ||||
\(742\) | −1.12672 | −0.0413633 | ||||||||
\(743\) | 9.39776 | + | 16.2774i | 0.344770 | + | 0.597160i | 0.985312 | − | 0.170764i | \(-0.0546234\pi\) |
−0.640542 | + | 0.767924i | \(0.721290\pi\) | |||||||
\(744\) | −0.902998 | − | 1.56404i | −0.0331055 | − | 0.0573404i | ||||
\(745\) | −31.6827 | + | 54.8761i | −1.16076 | + | 2.01050i | ||||
\(746\) | 12.4366 | + | 21.5409i | 0.455338 | + | 0.788668i | ||||
\(747\) | 22.3688 | − | 38.7438i | 0.818430 | − | 1.41756i | ||||
\(748\) | 14.6504 | 0.535670 | ||||||||
\(749\) | 16.0053 | 0.584819 | ||||||||
\(750\) | 6.63327 | − | 11.4892i | 0.242213 | − | 0.419525i | ||||
\(751\) | 21.3444 | − | 36.9696i | 0.778869 | − | 1.34904i | −0.153725 | − | 0.988114i | \(-0.549127\pi\) |
0.932594 | − | 0.360927i | \(-0.117540\pi\) | |||||||
\(752\) | −5.83126 | −0.212644 | ||||||||
\(753\) | 9.64773 | 0.351583 | ||||||||
\(754\) | −2.33701 | + | 4.04782i | −0.0851088 | + | 0.147413i | ||||
\(755\) | −11.8225 | − | 20.4772i | −0.430264 | − | 0.745240i | ||||
\(756\) | 1.03496 | − | 1.79259i | 0.0376410 | − | 0.0651960i | ||||
\(757\) | −21.9187 | − | 37.9643i | −0.796650 | − | 1.37984i | −0.921786 | − | 0.387698i | \(-0.873270\pi\) |
0.125137 | − | 0.992139i | \(-0.460063\pi\) | |||||||
\(758\) | 16.2137 | + | 28.0830i | 0.588909 | + | 1.02002i | ||||
\(759\) | −1.47038 | −0.0533713 | ||||||||
\(760\) | −0.703228 | + | 18.8399i | −0.0255088 | + | 0.683395i | ||||
\(761\) | 5.22462 | 0.189392 | 0.0946962 | − | 0.995506i | \(-0.469812\pi\) | ||||
0.0946962 | + | 0.995506i | \(0.469812\pi\) | |||||||
\(762\) | −1.09747 | − | 1.90087i | −0.0397570 | − | 0.0688611i | ||||
\(763\) | 3.62017 | + | 6.27033i | 0.131059 | + | 0.227001i | ||||
\(764\) | 1.61932 | − | 2.80475i | 0.0585850 | − | 0.101472i | ||||
\(765\) | 38.7355 | + | 67.0919i | 1.40049 | + | 2.42571i | ||||
\(766\) | −7.25527 | + | 12.5665i | −0.262144 | + | 0.454046i | ||||
\(767\) | 11.3828 | 0.411009 | ||||||||
\(768\) | 0.352271 | 0.0127115 | ||||||||
\(769\) | 16.4839 | − | 28.5510i | 0.594425 | − | 1.02957i | −0.399203 | − | 0.916863i | \(-0.630713\pi\) |
0.993628 | − | 0.112712i | \(-0.0359536\pi\) | |||||||
\(770\) | 5.08700 | − | 8.81094i | 0.183323 | − | 0.317524i | ||||
\(771\) | 2.99152 | 0.107737 | ||||||||
\(772\) | 12.0568 | 0.433934 | ||||||||
\(773\) | −21.8453 | + | 37.8372i | −0.785721 | + | 1.36091i | 0.142847 | + | 0.989745i | \(0.454374\pi\) |
−0.928568 | + | 0.371163i | \(0.878959\pi\) | |||||||
\(774\) | −1.25573 | − | 2.17499i | −0.0451363 | − | 0.0781784i | ||||
\(775\) | 35.1364 | − | 60.8581i | 1.26214 | − | 2.18609i | ||||
\(776\) | 1.52841 | + | 2.64728i | 0.0548666 | + | 0.0950317i | ||||
\(777\) | −1.87591 | − | 3.24916i | −0.0672977 | − | 0.116563i | ||||
\(778\) | −25.5236 | −0.915067 | ||||||||
\(779\) | −0.593082 | + | 15.8890i | −0.0212494 | + | 0.569283i | ||||
\(780\) | −1.22126 | −0.0437281 | ||||||||
\(781\) | −16.4690 | − | 28.5251i | −0.589307 | − | 1.02071i | ||||
\(782\) | −5.52580 | − | 9.57097i | −0.197602 | − | 0.342257i | ||||
\(783\) | 6.03510 | − | 10.4531i | 0.215677 | − | 0.373563i | ||||
\(784\) | −0.500000 | − | 0.866025i | −0.0178571 | − | 0.0309295i | ||||
\(785\) | 7.46504 | − | 12.9298i | 0.266439 | − | 0.461486i | ||||
\(786\) | 1.29117 | 0.0460545 | ||||||||
\(787\) | 26.7431 | 0.953288 | 0.476644 | − | 0.879097i | \(-0.341853\pi\) | ||||
0.476644 | + | 0.879097i | \(0.341853\pi\) | |||||||
\(788\) | 10.4690 | − | 18.1328i | 0.372942 | − | 0.645955i | ||||
\(789\) | 1.01263 | − | 1.75393i | 0.0360508 | − | 0.0624417i | ||||
\(790\) | 30.4807 | 1.08445 | ||||||||
\(791\) | 1.47637 | 0.0524935 | ||||||||
\(792\) | −3.38245 | + | 5.85858i | −0.120190 | + | 0.208176i | ||||
\(793\) | −1.09094 | − | 1.88956i | −0.0387403 | − | 0.0671002i | ||||
\(794\) | 5.81863 | − | 10.0782i | 0.206495 | − | 0.357661i | ||||
\(795\) | −0.858357 | − | 1.48672i | −0.0304428 | − | 0.0527284i | ||||
\(796\) | −4.56336 | − | 7.90397i | −0.161744 | − | 0.280149i | ||||
\(797\) | 7.16861 | 0.253925 | 0.126963 | − | 0.991907i | \(-0.459477\pi\) | ||||
0.126963 | + | 0.991907i | \(0.459477\pi\) | |||||||
\(798\) | 1.35751 | − | 0.717620i | 0.0480552 | − | 0.0254035i | ||||
\(799\) | −36.3181 | −1.28484 | ||||||||
\(800\) | 6.85358 | + | 11.8708i | 0.242311 | + | 0.419695i | ||||
\(801\) | 10.4905 | + | 18.1701i | 0.370664 | + | 0.642010i | ||||
\(802\) | −12.5870 | + | 21.8013i | −0.444462 | + | 0.769831i | ||||
\(803\) | 10.8567 | + | 18.8043i | 0.383124 | + | 0.663590i | ||||
\(804\) | −0.806779 | + | 1.39738i | −0.0284529 | + | 0.0492819i | ||||
\(805\) | −7.67482 | −0.270502 | ||||||||
\(806\) | −4.10929 | −0.144744 | ||||||||
\(807\) | 1.48344 | − | 2.56940i | 0.0522197 | − | 0.0904472i | ||||
\(808\) | 0.761817 | − | 1.31951i | 0.0268006 | − | 0.0464201i | ||||
\(809\) | 1.58109 | 0.0555881 | 0.0277941 | − | 0.999614i | \(-0.491152\pi\) | ||||
0.0277941 | + | 0.999614i | \(0.491152\pi\) | |||||||
\(810\) | −34.1626 | −1.20035 | ||||||||
\(811\) | −0.705005 | + | 1.22110i | −0.0247561 | + | 0.0428788i | −0.878138 | − | 0.478407i | \(-0.841214\pi\) |
0.853382 | + | 0.521286i | \(0.174548\pi\) | |||||||
\(812\) | −2.91563 | − | 5.05002i | −0.102319 | − | 0.177221i | ||||
\(813\) | −3.65125 | + | 6.32416i | −0.128055 | + | 0.221798i | ||||
\(814\) | 12.5263 | + | 21.6961i | 0.439045 | + | 0.760449i | ||||
\(815\) | −18.7278 | − | 32.4375i | −0.656007 | − | 1.13624i | ||||
\(816\) | 2.19400 | 0.0768055 | ||||||||
\(817\) | 0.141986 | − | 3.80388i | 0.00496744 | − | 0.133081i | ||||
\(818\) | −31.6277 | −1.10584 | ||||||||
\(819\) | −1.15258 | − | 1.99633i | −0.0402745 | − | 0.0697575i | ||||
\(820\) | 7.88854 | + | 13.6634i | 0.275480 | + | 0.477145i | ||||
\(821\) | 16.6057 | − | 28.7619i | 0.579543 | − | 1.00380i | −0.415988 | − | 0.909370i | \(-0.636564\pi\) |
0.995532 | − | 0.0944287i | \(-0.0301025\pi\) | |||||||
\(822\) | 0.598316 | + | 1.03631i | 0.0208687 | + | 0.0361456i | ||||
\(823\) | 23.5599 | − | 40.8070i | 0.821247 | − | 1.42244i | −0.0835065 | − | 0.996507i | \(-0.526612\pi\) |
0.904754 | − | 0.425935i | \(-0.140055\pi\) | |||||||
\(824\) | 11.5236 | 0.401445 | ||||||||
\(825\) | 11.3583 | 0.395444 | ||||||||
\(826\) | −7.10054 | + | 12.2985i | −0.247059 | + | 0.427920i | ||||
\(827\) | −8.06421 | + | 13.9676i | −0.280420 | + | 0.485702i | −0.971488 | − | 0.237088i | \(-0.923807\pi\) |
0.691068 | + | 0.722790i | \(0.257140\pi\) | |||||||
\(828\) | 5.10316 | 0.177347 | ||||||||
\(829\) | 46.9266 | 1.62983 | 0.814914 | − | 0.579582i | \(-0.196784\pi\) | ||||
0.814914 | + | 0.579582i | \(0.196784\pi\) | |||||||
\(830\) | 33.6412 | − | 58.2683i | 1.16770 | − | 2.02252i | ||||
\(831\) | −3.07254 | − | 5.32179i | −0.106585 | − | 0.184611i | ||||
\(832\) | 0.400772 | − | 0.694158i | 0.0138943 | − | 0.0240656i | ||||
\(833\) | −3.11409 | − | 5.39376i | −0.107897 | − | 0.186883i | ||||
\(834\) | −0.915311 | − | 1.58537i | −0.0316946 | − | 0.0548967i | ||||
\(835\) | −26.2082 | −0.906971 | ||||||||
\(836\) | −9.06468 | + | 4.79187i | −0.313508 | + | 0.165730i | ||||
\(837\) | 10.6119 | 0.366799 | ||||||||
\(838\) | −9.96027 | − | 17.2517i | −0.344072 | − | 0.595950i | ||||
\(839\) | 4.09700 | + | 7.09622i | 0.141444 | + | 0.244989i | 0.928041 | − | 0.372479i | \(-0.121492\pi\) |
−0.786596 | + | 0.617467i | \(0.788159\pi\) | |||||||
\(840\) | 0.761817 | − | 1.31951i | 0.0262852 | − | 0.0455273i | ||||
\(841\) | −2.50182 | − | 4.33328i | −0.0862698 | − | 0.149424i | ||||
\(842\) | 7.21372 | − | 12.4945i | 0.248601 | − | 0.430590i | ||||
\(843\) | 0.748257 | 0.0257713 | ||||||||
\(844\) | −4.00000 | −0.137686 | ||||||||
\(845\) | 26.7243 | − | 46.2878i | 0.919342 | − | 1.59235i | ||||
\(846\) | 8.38508 | − | 14.5234i | 0.288285 | − | 0.499324i | ||||
\(847\) | −5.46682 | −0.187842 | ||||||||
\(848\) | 1.12672 | 0.0386918 | ||||||||
\(849\) | 4.87360 | − | 8.44132i | 0.167261 | − | 0.289705i | ||||
\(850\) | 42.6853 | + | 73.9332i | 1.46409 | + | 2.53589i | ||||
\(851\) | 9.44927 | − | 16.3666i | 0.323917 | − | 0.561041i | ||||
\(852\) | −2.46636 | − | 4.27186i | −0.0844961 | − | 0.146351i | ||||
\(853\) | 8.38953 | + | 14.5311i | 0.287252 | + | 0.497535i | 0.973153 | − | 0.230160i | \(-0.0739249\pi\) |
−0.685901 | + | 0.727695i | \(0.740592\pi\) | |||||||
\(854\) | 2.72209 | 0.0931480 | ||||||||
\(855\) | −45.9116 | − | 28.8423i | −1.57014 | − | 0.986387i | ||||
\(856\) | −16.0053 | −0.547048 | ||||||||
\(857\) | 4.73950 | + | 8.20905i | 0.161898 | + | 0.280416i | 0.935549 | − | 0.353196i | \(-0.114905\pi\) |
−0.773651 | + | 0.633612i | \(0.781572\pi\) | |||||||
\(858\) | −0.332094 | − | 0.575204i | −0.0113375 | − | 0.0196372i | ||||
\(859\) | 2.79677 | − | 4.84415i | 0.0954246 | − | 0.165280i | −0.814361 | − | 0.580358i | \(-0.802912\pi\) |
0.909786 | + | 0.415078i | \(0.136246\pi\) | |||||||
\(860\) | −1.88854 | − | 3.27105i | −0.0643987 | − | 0.111542i | ||||
\(861\) | 0.642494 | − | 1.11283i | 0.0218961 | − | 0.0379252i | ||||
\(862\) | 14.6504 | 0.498993 | ||||||||
\(863\) | −46.1241 | −1.57008 | −0.785042 | − | 0.619443i | \(-0.787359\pi\) | ||||
−0.785042 | + | 0.619443i | \(0.787359\pi\) | |||||||
\(864\) | −1.03496 | + | 1.79259i | −0.0352099 | + | 0.0609853i | ||||
\(865\) | −33.7924 | + | 58.5301i | −1.14898 | + | 1.99008i | ||||
\(866\) | 18.0043 | 0.611812 | ||||||||
\(867\) | 7.67604 | 0.260692 | ||||||||
\(868\) | 2.56336 | − | 4.43987i | 0.0870062 | − | 0.150699i | ||||
\(869\) | 8.28854 | + | 14.3562i | 0.281170 | + | 0.487000i | ||||
\(870\) | 4.44236 | − | 7.69439i | 0.150610 | − | 0.260864i | ||||
\(871\) | 1.83572 | + | 3.17955i | 0.0622008 | + | 0.107735i | ||||
\(872\) | −3.62017 | − | 6.27033i | −0.122595 | − | 0.212340i | ||||
\(873\) | −8.79110 | −0.297534 | ||||||||
\(874\) | 6.54949 | + | 4.11449i | 0.221540 | + | 0.139175i | ||||
\(875\) | 37.6601 | 1.27314 | ||||||||
\(876\) | 1.62587 | + | 2.81609i | 0.0549331 | + | 0.0951469i | ||||
\(877\) | −8.39908 | − | 14.5476i | −0.283617 | − | 0.491238i | 0.688656 | − | 0.725088i | \(-0.258201\pi\) |
−0.972273 | + | 0.233850i | \(0.924868\pi\) | |||||||
\(878\) | −10.8168 | + | 18.7353i | −0.365050 | + | 0.632284i | ||||
\(879\) | 2.33073 | + | 4.03695i | 0.0786137 | + | 0.136163i | ||||
\(880\) | −5.08700 | + | 8.81094i | −0.171483 | + | 0.297017i | ||||
\(881\) | −29.9153 | −1.00787 | −0.503937 | − | 0.863741i | \(-0.668115\pi\) | ||||
−0.503937 | + | 0.863741i | \(0.668115\pi\) | |||||||
\(882\) | 2.87591 | 0.0968368 | ||||||||
\(883\) | 13.4642 | − | 23.3207i | 0.453107 | − | 0.784804i | −0.545470 | − | 0.838130i | \(-0.683649\pi\) |
0.998577 | + | 0.0533260i | \(0.0169822\pi\) | |||||||
\(884\) | 2.49608 | − | 4.32334i | 0.0839522 | − | 0.145410i | ||||
\(885\) | −21.6373 | −0.727329 | ||||||||
\(886\) | 3.45465 | 0.116061 | ||||||||
\(887\) | −12.3454 | + | 21.3828i | −0.414516 | + | 0.717964i | −0.995378 | − | 0.0960391i | \(-0.969383\pi\) |
0.580861 | + | 0.814003i | \(0.302716\pi\) | |||||||
\(888\) | 1.87591 | + | 3.24916i | 0.0629513 | + | 0.109035i | ||||
\(889\) | 3.11540 | − | 5.39603i | 0.104487 | − | 0.180977i | ||||
\(890\) | 15.7771 | + | 27.3267i | 0.528849 | + | 0.915993i | ||||
\(891\) | −9.28976 | − | 16.0903i | −0.311219 | − | 0.539047i | ||||
\(892\) | −12.2534 | −0.410276 | ||||||||
\(893\) | 22.4713 | − | 11.8790i | 0.751972 | − | 0.397516i | ||||
\(894\) | −5.16089 | −0.172606 | ||||||||
\(895\) | −24.6525 | − | 42.6994i | −0.824043 | − | 1.42728i | ||||
\(896\) | 0.500000 | + | 0.866025i | 0.0167038 | + | 0.0289319i | ||||
\(897\) | −0.250518 | + | 0.433909i | −0.00836454 | + | 0.0144878i | ||||
\(898\) | −9.75345 | − | 16.8935i | −0.325477 | − | 0.563742i | ||||
\(899\) | 14.9476 | − | 25.8901i | 0.498532 | − | 0.863482i | ||||
\(900\) | −39.4205 | −1.31402 | ||||||||
\(901\) | 7.01743 | 0.233784 | ||||||||
\(902\) | −4.29022 | + | 7.43089i | −0.142849 | + | 0.247421i | ||||
\(903\) | −0.153815 | + | 0.266415i | −0.00511864 | + | 0.00886575i | ||||
\(904\) | −1.47637 | −0.0491032 | ||||||||
\(905\) | 14.1775 | 0.471278 | ||||||||
\(906\) | 0.962901 | − | 1.66779i | 0.0319902 | − | 0.0554087i | ||||
\(907\) | 18.0691 | + | 31.2966i | 0.599975 | + | 1.03919i | 0.992824 | + | 0.119585i | \(0.0381563\pi\) |
−0.392848 | + | 0.919603i | \(0.628510\pi\) | |||||||
\(908\) | 11.6765 | − | 20.2244i | 0.387500 | − | 0.671169i | ||||
\(909\) | 2.19091 | + | 3.79477i | 0.0726680 | + | 0.125865i | ||||
\(910\) | −1.73341 | − | 3.00236i | −0.0574620 | − | 0.0995271i | ||||
\(911\) | −41.0210 | −1.35909 | −0.679543 | − | 0.733636i | \(-0.737822\pi\) | ||||
−0.679543 | + | 0.733636i | \(0.737822\pi\) | |||||||
\(912\) | −1.35751 | + | 0.717620i | −0.0449515 | + | 0.0237628i | ||||
\(913\) | 36.5919 | 1.21101 | ||||||||
\(914\) | −6.64381 | − | 11.5074i | −0.219758 | − | 0.380631i | ||||
\(915\) | 2.07374 | + | 3.59181i | 0.0685556 | + | 0.118742i | ||||
\(916\) | 12.9415 | − | 22.4153i | 0.427599 | − | 0.740623i | ||||
\(917\) | 1.83264 | + | 3.17422i | 0.0605191 | + | 0.104822i | ||||
\(918\) | −6.44588 | + | 11.1646i | −0.212746 | + | 0.368487i | ||||
\(919\) | −19.4521 | −0.641664 | −0.320832 | − | 0.947136i | \(-0.603963\pi\) | ||||
−0.320832 | + | 0.947136i | \(0.603963\pi\) | |||||||
\(920\) | 7.67482 | 0.253031 | ||||||||
\(921\) | −4.39278 | + | 7.60852i | −0.144747 | + | 0.250709i | ||||
\(922\) | 8.09577 | − | 14.0223i | 0.266620 | − | 0.461799i | ||||
\(923\) | −11.2237 | −0.369433 | ||||||||
\(924\) | 0.828636 | 0.0272601 | ||||||||
\(925\) | −72.9931 | + | 126.428i | −2.40000 | + | 4.15692i | ||||
\(926\) | 10.7505 | + | 18.6204i | 0.353283 | + | 0.611905i | ||||
\(927\) | −16.5704 | + | 28.7008i | −0.544245 | + | 0.942659i | ||||
\(928\) | 2.91563 | + | 5.05002i | 0.0957103 | + | 0.165775i | ||||
\(929\) | −4.43004 | − | 7.67306i | −0.145345 | − | 0.251745i | 0.784157 | − | 0.620563i | \(-0.213096\pi\) |
−0.929502 | + | 0.368818i | \(0.879763\pi\) | |||||||
\(930\) | 7.81125 | 0.256141 | ||||||||
\(931\) | 3.69100 | + | 2.31874i | 0.120967 | + | 0.0759936i | ||||
\(932\) | −2.60309 | −0.0852670 | ||||||||
\(933\) | −2.80862 | − | 4.86468i | −0.0919502 | − | 0.159262i | ||||
\(934\) | −3.97768 | − | 6.88954i | −0.130154 | − | 0.225433i | ||||
\(935\) | −31.6827 | + | 54.8761i | −1.03614 | + | 1.79464i | ||||
\(936\) | 1.15258 | + | 1.99633i | 0.0376733 | + | 0.0652521i | ||||
\(937\) | 17.8707 | − | 30.9529i | 0.583809 | − | 1.01119i | −0.411213 | − | 0.911539i | \(-0.634895\pi\) |
0.995023 | − | 0.0996483i | \(-0.0317718\pi\) | |||||||
\(938\) | −4.58045 | −0.149557 | ||||||||
\(939\) | −4.48098 | −0.146231 | ||||||||
\(940\) | 12.6106 | − | 21.8423i | 0.411313 | − | 0.712416i | ||||
\(941\) | −20.3064 | + | 35.1717i | −0.661970 | + | 1.14657i | 0.318128 | + | 0.948048i | \(0.396946\pi\) |
−0.980097 | + | 0.198517i | \(0.936387\pi\) | |||||||
\(942\) | 1.21600 | 0.0396196 | ||||||||
\(943\) | 6.47272 | 0.210781 | ||||||||
\(944\) | 7.10054 | − | 12.2985i | 0.231103 | − | 0.400282i | ||||
\(945\) | 4.47637 | + | 7.75329i | 0.145616 | + | 0.252215i | ||||
\(946\) | 1.02709 | − | 1.77898i | 0.0333937 | − | 0.0578395i | ||||
\(947\) | 20.6922 | + | 35.8400i | 0.672408 | + | 1.16464i | 0.977219 | + | 0.212232i | \(0.0680732\pi\) |
−0.304812 | + | 0.952413i | \(0.598594\pi\) | |||||||
\(948\) | 1.24127 | + | 2.14995i | 0.0403147 | + | 0.0698271i | ||||
\(949\) | 7.39890 | 0.240178 | ||||||||
\(950\) | −50.5931 | − | 31.7834i | −1.64146 | − | 1.03119i | ||||
\(951\) | −11.5929 | −0.375926 | ||||||||
\(952\) | 3.11409 | + | 5.39376i | 0.100928 | + | 0.174813i | ||||
\(953\) | 2.72550 | + | 4.72071i | 0.0882877 | + | 0.152919i | 0.906787 | − | 0.421588i | \(-0.138527\pi\) |
−0.818500 | + | 0.574507i | \(0.805194\pi\) | |||||||
\(954\) | −1.62017 | + | 2.80622i | −0.0524551 | + | 0.0908548i | ||||
\(955\) | 7.00386 | + | 12.1310i | 0.226640 | + | 0.392551i | ||||
\(956\) | 11.6390 | − | 20.1594i | 0.376433 | − | 0.652002i | ||||
\(957\) | 4.83200 | 0.156196 | ||||||||
\(958\) | 26.6356 | 0.860557 | ||||||||
\(959\) | −1.69846 | + | 2.94181i | −0.0548460 | + | 0.0949961i | ||||
\(960\) | −0.761817 | + | 1.31951i | −0.0245875 | + | 0.0425869i | ||||
\(961\) | −4.71671 | −0.152152 | ||||||||
\(962\) | 8.53673 | 0.275235 | ||||||||
\(963\) | 23.0148 | − | 39.8628i | 0.741642 | − | 1.28456i | ||||
\(964\) | 4.47159 | + | 7.74503i | 0.144020 | + | 0.249451i | ||||
\(965\) | −26.0739 | + | 45.1614i | −0.839350 | + | 1.45380i | ||||
\(966\) | −0.312544 | − | 0.541342i | −0.0100559 | − | 0.0174174i | ||||
\(967\) | −0.812865 | − | 1.40792i | −0.0261400 | − | 0.0452758i | 0.852659 | − | 0.522467i | \(-0.174988\pi\) |
−0.878799 | + | 0.477191i | \(0.841655\pi\) | |||||||
\(968\) | 5.46682 | 0.175710 | ||||||||
\(969\) | −8.45478 | + | 4.46947i | −0.271607 | + | 0.143580i | ||||
\(970\) | −13.2213 | −0.424509 | ||||||||
\(971\) | −17.5817 | − | 30.4524i | −0.564224 | − | 0.977264i | −0.997121 | − | 0.0758210i | \(-0.975842\pi\) |
0.432898 | − | 0.901443i | \(-0.357491\pi\) | |||||||
\(972\) | −4.49608 | − | 7.78744i | −0.144212 | − | 0.249782i | ||||
\(973\) | 2.59832 | − | 4.50042i | 0.0832982 | − | 0.144277i | ||||
\(974\) | 2.67482 | + | 4.63293i | 0.0857068 | + | 0.148449i | ||||
\(975\) | 1.93518 | − | 3.35183i | 0.0619754 | − | 0.107345i | ||||
\(976\) | −2.72209 | −0.0871320 | ||||||||
\(977\) | −37.2289 | −1.19106 | −0.595528 | − | 0.803334i | \(-0.703057\pi\) | ||||
−0.595528 | + | 0.803334i | \(0.703057\pi\) | |||||||
\(978\) | 1.52532 | − | 2.64192i | 0.0487742 | − | 0.0844794i | ||||
\(979\) | −8.58045 | + | 14.8618i | −0.274232 | + | 0.474984i | ||||
\(980\) | 4.32518 | 0.138163 | ||||||||
\(981\) | 20.8226 | 0.664813 | ||||||||
\(982\) | 0.228176 | − | 0.395213i | 0.00728139 | − | 0.0126117i | ||||
\(983\) | 0.647729 | + | 1.12190i | 0.0206594 | + | 0.0357830i | 0.876170 | − | 0.482002i | \(-0.160090\pi\) |
−0.855511 | + | 0.517785i | \(0.826757\pi\) | |||||||
\(984\) | −0.642494 | + | 1.11283i | −0.0204820 | + | 0.0354758i | ||||
\(985\) | 45.2802 | + | 78.4277i | 1.44275 | + | 2.49891i | ||||
\(986\) | 18.1591 | + | 31.4524i | 0.578303 | + | 1.00165i | ||||
\(987\) | −2.05418 | −0.0653854 | ||||||||
\(988\) | −0.130323 | + | 3.49142i | −0.00414611 | + | 0.111077i | ||||
\(989\) | −1.54959 | −0.0492740 | ||||||||
\(990\) | −14.6297 | − | 25.3394i | −0.464963 | − | 0.805339i | ||||
\(991\) | −6.89214 | − | 11.9375i | −0.218936 | − | 0.379208i | 0.735547 | − | 0.677474i | \(-0.236925\pi\) |
−0.954483 | + | 0.298265i | \(0.903592\pi\) | |||||||
\(992\) | −2.56336 | + | 4.43987i | −0.0813868 | + | 0.140966i | ||||
\(993\) | 3.34796 | + | 5.79884i | 0.106244 | + | 0.184021i | ||||
\(994\) | 7.00131 | − | 12.1266i | 0.222068 | − | 0.384633i | ||||
\(995\) | 39.4747 | 1.25143 | ||||||||
\(996\) | 5.47992 | 0.173638 | ||||||||
\(997\) | 0.428790 | − | 0.742686i | 0.0135799 | − | 0.0235211i | −0.859156 | − | 0.511714i | \(-0.829011\pi\) |
0.872736 | + | 0.488193i | \(0.162344\pi\) | |||||||
\(998\) | −2.99523 | + | 5.18789i | −0.0948123 | + | 0.164220i | ||||
\(999\) | −22.0453 | −0.697482 |
(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 | 266.2.f.d.197.2 | ✓ | 8 | |
3.2 | odd | 2 | 2394.2.o.v.1261.4 | 8 | |||
19.7 | even | 3 | 5054.2.a.w.1.3 | 4 | |||
19.11 | even | 3 | inner | 266.2.f.d.239.2 | yes | 8 | |
19.12 | odd | 6 | 5054.2.a.x.1.2 | 4 | |||
57.11 | odd | 6 | 2394.2.o.v.505.4 | 8 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
266.2.f.d.197.2 | ✓ | 8 | 1.1 | even | 1 | trivial | |
266.2.f.d.239.2 | yes | 8 | 19.11 | even | 3 | inner | |
2394.2.o.v.505.4 | 8 | 57.11 | odd | 6 | |||
2394.2.o.v.1261.4 | 8 | 3.2 | odd | 2 | |||
5054.2.a.w.1.3 | 4 | 19.7 | even | 3 | |||
5054.2.a.x.1.2 | 4 | 19.12 | odd | 6 |