Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [336,2,Mod(11,336)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(336, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 3, 6, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("336.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 336 = 2^{4} \cdot 3 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 336.bu (of order \(12\), degree \(4\), 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: | \(2.68297350792\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(60\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 11.5 | ||
Character | \(\chi\) | \(=\) | 336.11 |
Dual form | 336.2.bu.a.275.5 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/336\mathbb{Z}\right)^\times\).
\(n\) | \(85\) | \(113\) | \(127\) | \(241\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(-1\) | \(-1\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.37118 | + | 0.346233i | −0.969568 | + | 0.244824i | ||||
\(3\) | 1.54917 | − | 0.774639i | 0.894415 | − | 0.447238i | ||||
\(4\) | 1.76025 | − | 0.949493i | 0.880123 | − | 0.474746i | ||||
\(5\) | 2.52702 | + | 0.677113i | 1.13012 | + | 0.302814i | 0.774971 | − | 0.631996i | \(-0.217764\pi\) |
0.355147 | + | 0.934811i | \(0.384431\pi\) | |||||||
\(6\) | −1.85598 | + | 1.59854i | −0.757701 | + | 0.652602i | ||||
\(7\) | 0.885088 | − | 2.49331i | 0.334532 | − | 0.942384i | ||||
\(8\) | −2.08486 | + | 1.91138i | −0.737109 | + | 0.675774i | ||||
\(9\) | 1.79987 | − | 2.40010i | 0.599956 | − | 0.800033i | ||||
\(10\) | −3.69943 | − | 0.0535028i | −1.16986 | − | 0.0169191i | ||||
\(11\) | 3.26252 | − | 0.874188i | 0.983686 | − | 0.263578i | 0.269090 | − | 0.963115i | \(-0.413277\pi\) |
0.714596 | + | 0.699537i | \(0.246611\pi\) | |||||||
\(12\) | 1.99141 | − | 2.83448i | 0.574870 | − | 0.818245i | ||||
\(13\) | −3.62728 | + | 3.62728i | −1.00603 | + | 1.00603i | −0.00604406 | + | 0.999982i | \(0.501924\pi\) |
−0.999982 | + | 0.00604406i | \(0.998076\pi\) | |||||||
\(14\) | −0.350343 | + | 3.72522i | −0.0936330 | + | 0.995607i | ||||
\(15\) | 4.43931 | − | 0.908564i | 1.14622 | − | 0.234590i | ||||
\(16\) | 2.19693 | − | 3.34268i | 0.549232 | − | 0.835670i | ||||
\(17\) | −6.30359 | − | 3.63938i | −1.52885 | − | 0.882680i | −0.999411 | − | 0.0343291i | \(-0.989071\pi\) |
−0.529435 | − | 0.848350i | \(-0.677596\pi\) | |||||||
\(18\) | −1.63694 | + | 3.91413i | −0.385831 | + | 0.922569i | ||||
\(19\) | −1.51093 | + | 5.63886i | −0.346631 | + | 1.29364i | 0.544064 | + | 0.839043i | \(0.316885\pi\) |
−0.890695 | + | 0.454601i | \(0.849782\pi\) | |||||||
\(20\) | 5.09109 | − | 1.20750i | 1.13840 | − | 0.270006i | ||||
\(21\) | −0.560266 | − | 4.54820i | −0.122260 | − | 0.992498i | ||||
\(22\) | −4.17081 | + | 2.32826i | −0.889219 | + | 0.496386i | ||||
\(23\) | −0.902810 | + | 0.521238i | −0.188249 | + | 0.108686i | −0.591163 | − | 0.806552i | \(-0.701331\pi\) |
0.402914 | + | 0.915238i | \(0.367998\pi\) | |||||||
\(24\) | −1.74918 | + | 4.57607i | −0.357050 | + | 0.934085i | ||||
\(25\) | 1.59722 | + | 0.922157i | 0.319444 | + | 0.184431i | ||||
\(26\) | 3.71775 | − | 6.22952i | 0.729111 | − | 1.22171i | ||||
\(27\) | 0.929096 | − | 5.11241i | 0.178805 | − | 0.983885i | ||||
\(28\) | −0.809413 | − | 5.22923i | −0.152965 | − | 0.988232i | ||||
\(29\) | −0.164130 | − | 0.164130i | −0.0304781 | − | 0.0304781i | 0.691704 | − | 0.722182i | \(-0.256861\pi\) |
−0.722182 | + | 0.691704i | \(0.756861\pi\) | |||||||
\(30\) | −5.77250 | + | 2.78284i | −1.05391 | + | 0.508074i | ||||
\(31\) | 2.66713 | + | 1.53987i | 0.479031 | + | 0.276569i | 0.720012 | − | 0.693961i | \(-0.244136\pi\) |
−0.240982 | + | 0.970530i | \(0.577469\pi\) | |||||||
\(32\) | −1.85503 | + | 5.34405i | −0.327925 | + | 0.944704i | ||||
\(33\) | 4.37702 | − | 3.88154i | 0.761941 | − | 0.675689i | ||||
\(34\) | 9.90341 | + | 2.80772i | 1.69842 | + | 0.481520i | ||||
\(35\) | 3.92489 | − | 5.70135i | 0.663428 | − | 0.963705i | ||||
\(36\) | 0.889334 | − | 5.93372i | 0.148222 | − | 0.988954i | ||||
\(37\) | −0.790868 | + | 2.95156i | −0.130018 | + | 0.485233i | −0.999969 | − | 0.00790499i | \(-0.997484\pi\) |
0.869951 | + | 0.493138i | \(0.164150\pi\) | |||||||
\(38\) | 0.119388 | − | 8.25501i | 0.0193672 | − | 1.33914i | ||||
\(39\) | −2.80945 | + | 8.42911i | −0.449871 | + | 1.34974i | ||||
\(40\) | −6.56270 | + | 3.41840i | −1.03765 | + | 0.540497i | ||||
\(41\) | 9.40208 | 1.46836 | 0.734179 | − | 0.678956i | \(-0.237567\pi\) | ||||
0.734179 | + | 0.678956i | \(0.237567\pi\) | |||||||
\(42\) | 2.34296 | + | 6.04240i | 0.361526 | + | 0.932362i | ||||
\(43\) | 1.63803 | − | 1.63803i | 0.249798 | − | 0.249798i | −0.571090 | − | 0.820888i | \(-0.693479\pi\) |
0.820888 | + | 0.571090i | \(0.193479\pi\) | |||||||
\(44\) | 4.91279 | − | 4.63652i | 0.740631 | − | 0.698982i | ||||
\(45\) | 6.17344 | − | 4.84638i | 0.920282 | − | 0.722456i | ||||
\(46\) | 1.05744 | − | 1.02729i | 0.155911 | − | 0.151466i | ||||
\(47\) | 2.82149 | + | 4.88697i | 0.411557 | + | 0.712838i | 0.995060 | − | 0.0992728i | \(-0.0316517\pi\) |
−0.583503 | + | 0.812111i | \(0.698318\pi\) | |||||||
\(48\) | 0.814046 | − | 6.88021i | 0.117497 | − | 0.993073i | ||||
\(49\) | −5.43324 | − | 4.41361i | −0.776177 | − | 0.630515i | ||||
\(50\) | −2.50935 | − | 0.711428i | −0.354876 | − | 0.100611i | ||||
\(51\) | −12.5846 | − | 0.755018i | −1.76219 | − | 0.105724i | ||||
\(52\) | −2.94082 | + | 9.82897i | −0.407819 | + | 1.36303i | ||||
\(53\) | 1.43905 | + | 5.37060i | 0.197668 | + | 0.737708i | 0.991560 | + | 0.129649i | \(0.0413851\pi\) |
−0.793892 | + | 0.608059i | \(0.791948\pi\) | |||||||
\(54\) | 0.496133 | + | 7.33170i | 0.0675152 | + | 0.997718i | ||||
\(55\) | 8.83637 | 1.19150 | ||||||||
\(56\) | 2.92038 | + | 6.88995i | 0.390252 | + | 0.920708i | ||||
\(57\) | 2.02740 | + | 9.90600i | 0.268535 | + | 1.31208i | ||||
\(58\) | 0.281877 | + | 0.168223i | 0.0370123 | + | 0.0220888i | ||||
\(59\) | −3.61727 | + | 0.969245i | −0.470929 | + | 0.126185i | −0.486475 | − | 0.873694i | \(-0.661718\pi\) |
0.0155470 | + | 0.999879i | \(0.495051\pi\) | |||||||
\(60\) | 6.95159 | − | 5.81439i | 0.897447 | − | 0.750634i | ||||
\(61\) | −5.10170 | − | 1.36700i | −0.653206 | − | 0.175026i | −0.0830278 | − | 0.996547i | \(-0.526459\pi\) |
−0.570178 | + | 0.821521i | \(0.693126\pi\) | |||||||
\(62\) | −4.19026 | − | 1.18798i | −0.532163 | − | 0.150874i | ||||
\(63\) | −4.39116 | − | 6.61194i | −0.553234 | − | 0.833026i | ||||
\(64\) | 0.693278 | − | 7.96990i | 0.0866598 | − | 0.996238i | ||||
\(65\) | −11.6223 | + | 6.71013i | −1.44157 | + | 0.832289i | ||||
\(66\) | −4.65774 | + | 6.83774i | −0.573328 | + | 0.841668i | ||||
\(67\) | 7.62060 | − | 2.04193i | 0.931005 | − | 0.249462i | 0.238722 | − | 0.971088i | \(-0.423272\pi\) |
0.692283 | + | 0.721626i | \(0.256605\pi\) | |||||||
\(68\) | −14.5514 | − | 0.420987i | −1.76462 | − | 0.0510521i | ||||
\(69\) | −0.994837 | + | 1.50684i | −0.119764 | + | 0.181402i | ||||
\(70\) | −3.40772 | + | 9.17648i | −0.407300 | + | 1.09680i | ||||
\(71\) | 2.28487i | 0.271165i | 0.990766 | + | 0.135582i | \(0.0432905\pi\) | ||||
−0.990766 | + | 0.135582i | \(0.956709\pi\) | |||||||
\(72\) | 0.835019 | + | 8.44410i | 0.0984080 | + | 0.995146i | ||||
\(73\) | −9.32837 | − | 5.38574i | −1.09180 | − | 0.630353i | −0.157747 | − | 0.987480i | \(-0.550423\pi\) |
−0.934056 | + | 0.357127i | \(0.883756\pi\) | |||||||
\(74\) | 0.0624912 | − | 4.32093i | 0.00726446 | − | 0.502298i | ||||
\(75\) | 3.18871 | + | 0.191309i | 0.368201 | + | 0.0220904i | ||||
\(76\) | 2.69446 | + | 11.3604i | 0.309075 | + | 1.30313i | ||||
\(77\) | 0.707986 | − | 8.90821i | 0.0806825 | − | 1.01519i | ||||
\(78\) | 0.933808 | − | 12.5305i | 0.105733 | − | 1.41880i | ||||
\(79\) | −6.93760 | + | 4.00542i | −0.780541 | + | 0.450645i | −0.836622 | − | 0.547781i | \(-0.815473\pi\) |
0.0560811 | + | 0.998426i | \(0.482139\pi\) | |||||||
\(80\) | 7.81505 | − | 6.95945i | 0.873749 | − | 0.778091i | ||||
\(81\) | −2.52095 | − | 8.63972i | −0.280105 | − | 0.959969i | ||||
\(82\) | −12.8919 | + | 3.25531i | −1.42367 | + | 0.359489i | ||||
\(83\) | −4.18395 | + | 4.18395i | −0.459248 | + | 0.459248i | −0.898409 | − | 0.439161i | \(-0.855276\pi\) |
0.439161 | + | 0.898409i | \(0.355276\pi\) | |||||||
\(84\) | −5.30469 | − | 7.47398i | −0.578789 | − | 0.815478i | ||||
\(85\) | −13.4650 | − | 13.4650i | −1.46049 | − | 1.46049i | ||||
\(86\) | −1.67889 | + | 2.81317i | −0.181039 | + | 0.303352i | ||||
\(87\) | −0.381406 | − | 0.127124i | −0.0408910 | − | 0.0136291i | ||||
\(88\) | −5.13098 | + | 8.05846i | −0.546965 | + | 0.859034i | ||||
\(89\) | −3.04256 | − | 5.26988i | −0.322511 | − | 0.558606i | 0.658494 | − | 0.752586i | \(-0.271194\pi\) |
−0.981006 | + | 0.193980i | \(0.937860\pi\) | |||||||
\(90\) | −6.78690 | + | 8.78269i | −0.715402 | + | 0.925777i | ||||
\(91\) | 5.83349 | + | 12.2544i | 0.611515 | + | 1.28461i | ||||
\(92\) | −1.09426 | + | 1.77472i | −0.114084 | + | 0.185027i | ||||
\(93\) | 5.32469 | + | 0.319458i | 0.552144 | + | 0.0331262i | ||||
\(94\) | −5.56080 | − | 5.72400i | −0.573552 | − | 0.590386i | ||||
\(95\) | −7.63630 | + | 13.2265i | −0.783467 | + | 1.35701i | ||||
\(96\) | 1.26596 | + | 9.71583i | 0.129206 | + | 0.991618i | ||||
\(97\) | −10.8329 | −1.09991 | −0.549956 | − | 0.835193i | \(-0.685356\pi\) | ||||
−0.549956 | + | 0.835193i | \(0.685356\pi\) | |||||||
\(98\) | 8.97806 | + | 4.17066i | 0.906921 | + | 0.421300i | ||||
\(99\) | 3.77396 | − | 9.40378i | 0.379297 | − | 0.945116i | ||||
\(100\) | 3.68708 | + | 0.106671i | 0.368708 | + | 0.0106671i | ||||
\(101\) | 3.88246 | + | 14.4895i | 0.386319 | + | 1.44176i | 0.836077 | + | 0.548612i | \(0.184844\pi\) |
−0.449758 | + | 0.893151i | \(0.648490\pi\) | |||||||
\(102\) | 17.5170 | − | 3.32193i | 1.73445 | − | 0.328920i | ||||
\(103\) | 7.78320 | + | 13.4809i | 0.766901 | + | 1.32831i | 0.939236 | + | 0.343273i | \(0.111536\pi\) |
−0.172334 | + | 0.985039i | \(0.555131\pi\) | |||||||
\(104\) | 0.629270 | − | 14.4955i | 0.0617050 | − | 1.42140i | ||||
\(105\) | 1.66384 | − | 11.8728i | 0.162374 | − | 1.15866i | ||||
\(106\) | −3.83267 | − | 6.86579i | −0.372261 | − | 0.666864i | ||||
\(107\) | 2.62276 | − | 9.78826i | 0.253551 | − | 0.946266i | −0.715339 | − | 0.698777i | \(-0.753728\pi\) |
0.968891 | − | 0.247489i | \(-0.0796055\pi\) | |||||||
\(108\) | −3.21876 | − | 9.88127i | −0.309726 | − | 0.950826i | ||||
\(109\) | 0.136530 | + | 0.509537i | 0.0130772 | + | 0.0488048i | 0.972156 | − | 0.234334i | \(-0.0752910\pi\) |
−0.959079 | + | 0.283139i | \(0.908624\pi\) | |||||||
\(110\) | −12.1162 | + | 3.05944i | −1.15524 | + | 0.291706i | ||||
\(111\) | 1.06120 | + | 5.18511i | 0.100725 | + | 0.492149i | ||||
\(112\) | −6.38988 | − | 8.43620i | −0.603787 | − | 0.797146i | ||||
\(113\) | − | 6.87732i | − | 0.646963i | −0.946234 | − | 0.323482i | \(-0.895147\pi\) | ||
0.946234 | − | 0.323482i | \(-0.104853\pi\) | |||||||
\(114\) | −6.20970 | − | 12.8809i | −0.581592 | − | 1.20641i | ||||
\(115\) | −2.63436 | + | 0.705874i | −0.245655 | + | 0.0658231i | ||||
\(116\) | −0.444748 | − | 0.133068i | −0.0412938 | − | 0.0123551i | ||||
\(117\) | 2.17720 | + | 15.2344i | 0.201282 | + | 1.40843i | ||||
\(118\) | 4.62433 | − | 2.58142i | 0.425704 | − | 0.237639i | ||||
\(119\) | −14.6534 | + | 12.4957i | −1.34327 | + | 1.14548i | ||||
\(120\) | −7.51872 | + | 10.3794i | −0.686362 | + | 0.947507i | ||||
\(121\) | 0.353524 | − | 0.204107i | 0.0321385 | − | 0.0185552i | ||||
\(122\) | 7.46863 | + | 0.108015i | 0.676178 | + | 0.00977918i | ||||
\(123\) | 14.5654 | − | 7.28322i | 1.31332 | − | 0.656706i | ||||
\(124\) | 6.15690 | + | 0.178125i | 0.552906 | + | 0.0159961i | ||||
\(125\) | −5.83773 | − | 5.83773i | −0.522142 | − | 0.522142i | ||||
\(126\) | 8.31032 | + | 7.54576i | 0.740342 | + | 0.672230i | ||||
\(127\) | 4.45854i | 0.395631i | 0.980239 | + | 0.197816i | \(0.0633848\pi\) | ||||
−0.980239 | + | 0.197816i | \(0.936615\pi\) | |||||||
\(128\) | 1.80884 | + | 11.1682i | 0.159880 | + | 0.987136i | ||||
\(129\) | 1.26871 | − | 3.80648i | 0.111704 | − | 0.335142i | ||||
\(130\) | 13.6129 | − | 13.2248i | 1.19393 | − | 1.15989i | ||||
\(131\) | 4.27640 | + | 1.14586i | 0.373631 | + | 0.100114i | 0.440748 | − | 0.897631i | \(-0.354713\pi\) |
−0.0671169 | + | 0.997745i | \(0.521380\pi\) | |||||||
\(132\) | 4.01913 | − | 10.9884i | 0.349820 | − | 0.956418i | ||||
\(133\) | 12.7222 | + | 8.75811i | 1.10315 | + | 0.759425i | ||||
\(134\) | −9.74220 | + | 5.43836i | −0.841598 | + | 0.469802i | ||||
\(135\) | 5.80953 | − | 12.2901i | 0.500004 | − | 1.05776i | ||||
\(136\) | 20.0983 | − | 4.46094i | 1.72342 | − | 0.382523i | ||||
\(137\) | −11.1596 | + | 19.3289i | −0.953425 | + | 1.65138i | −0.215494 | + | 0.976505i | \(0.569136\pi\) |
−0.737931 | + | 0.674876i | \(0.764197\pi\) | |||||||
\(138\) | 0.842379 | − | 2.41059i | 0.0717081 | − | 0.205203i | ||||
\(139\) | 9.56395 | − | 9.56395i | 0.811204 | − | 0.811204i | −0.173611 | − | 0.984814i | \(-0.555543\pi\) |
0.984814 | + | 0.173611i | \(0.0555434\pi\) | |||||||
\(140\) | 1.49538 | − | 13.7624i | 0.126382 | − | 1.16314i | ||||
\(141\) | 8.15662 | + | 5.38512i | 0.686911 | + | 0.453509i | ||||
\(142\) | −0.791099 | − | 3.13296i | −0.0663876 | − | 0.262913i | ||||
\(143\) | −8.66313 | + | 15.0050i | −0.724447 | + | 1.25478i | ||||
\(144\) | −4.06858 | − | 11.2892i | −0.339049 | − | 0.940769i | ||||
\(145\) | −0.303624 | − | 0.525893i | −0.0252146 | − | 0.0436730i | ||||
\(146\) | 14.6556 | + | 4.15500i | 1.21290 | + | 0.343870i | ||||
\(147\) | −11.8360 | − | 2.62864i | −0.976215 | − | 0.216806i | ||||
\(148\) | 1.41036 | + | 5.94639i | 0.115931 | + | 0.488790i | ||||
\(149\) | 4.35004 | + | 1.16559i | 0.356369 | + | 0.0954888i | 0.432562 | − | 0.901604i | \(-0.357610\pi\) |
−0.0761927 | + | 0.997093i | \(0.524276\pi\) | |||||||
\(150\) | −4.43852 | + | 0.841720i | −0.362404 | + | 0.0687261i | ||||
\(151\) | 4.83337 | − | 8.37165i | 0.393334 | − | 0.681275i | −0.599553 | − | 0.800335i | \(-0.704655\pi\) |
0.992887 | + | 0.119060i | \(0.0379881\pi\) | |||||||
\(152\) | −7.62792 | − | 14.6442i | −0.618706 | − | 1.18780i | ||||
\(153\) | −20.0805 | + | 8.57884i | −1.62341 | + | 0.693558i | ||||
\(154\) | 2.11355 | + | 12.4599i | 0.170314 | + | 1.00404i | ||||
\(155\) | 5.69723 | + | 5.69723i | 0.457612 | + | 0.457612i | ||||
\(156\) | 3.05806 | + | 17.5048i | 0.244841 | + | 1.40151i | ||||
\(157\) | 1.13751 | + | 4.24524i | 0.0907831 | + | 0.338807i | 0.996346 | − | 0.0854039i | \(-0.0272181\pi\) |
−0.905563 | + | 0.424211i | \(0.860551\pi\) | |||||||
\(158\) | 8.12586 | − | 7.89417i | 0.646458 | − | 0.628026i | ||||
\(159\) | 6.38961 | + | 7.20524i | 0.506729 | + | 0.571413i | ||||
\(160\) | −8.30621 | + | 12.2485i | −0.656664 | + | 0.968326i | ||||
\(161\) | 0.500543 | + | 2.71233i | 0.0394484 | + | 0.213762i | ||||
\(162\) | 6.44802 | + | 10.9737i | 0.506604 | + | 0.862179i | ||||
\(163\) | 3.88416 | − | 14.4959i | 0.304231 | − | 1.13541i | −0.629374 | − | 0.777102i | \(-0.716689\pi\) |
0.933605 | − | 0.358303i | \(-0.116645\pi\) | |||||||
\(164\) | 16.5500 | − | 8.92721i | 1.29234 | − | 0.697098i | ||||
\(165\) | 13.6891 | − | 6.84500i | 1.06569 | − | 0.532882i | ||||
\(166\) | 4.28830 | − | 7.18555i | 0.332837 | − | 0.557707i | ||||
\(167\) | − | 10.6269i | − | 0.822332i | −0.911561 | − | 0.411166i | \(-0.865122\pi\) | ||
0.911561 | − | 0.411166i | \(-0.134878\pi\) | |||||||
\(168\) | 9.86139 | + | 8.41147i | 0.760823 | + | 0.648959i | ||||
\(169\) | − | 13.3143i | − | 1.02418i | ||||||
\(170\) | 23.1250 | + | 13.8009i | 1.77360 | + | 1.05848i | ||||
\(171\) | 10.8144 | + | 13.7756i | 0.826994 | + | 1.05345i | ||||
\(172\) | 1.32804 | − | 4.43864i | 0.101262 | − | 0.338443i | ||||
\(173\) | −0.338854 | + | 1.26462i | −0.0257626 | + | 0.0961474i | −0.977610 | − | 0.210425i | \(-0.932515\pi\) |
0.951847 | + | 0.306572i | \(0.0991820\pi\) | |||||||
\(174\) | 0.566989 | + | 0.0422536i | 0.0429833 | + | 0.00320323i | ||||
\(175\) | 3.71291 | − | 3.16619i | 0.280670 | − | 0.239341i | ||||
\(176\) | 4.24537 | − | 12.8261i | 0.320007 | − | 0.966802i | ||||
\(177\) | −4.85296 | + | 4.30361i | −0.364771 | + | 0.323479i | ||||
\(178\) | 5.99650 | + | 6.17249i | 0.449456 | + | 0.462648i | ||||
\(179\) | −2.81479 | − | 10.5050i | −0.210388 | − | 0.785177i | −0.987739 | − | 0.156111i | \(-0.950104\pi\) |
0.777352 | − | 0.629066i | \(-0.216562\pi\) | |||||||
\(180\) | 6.26517 | − | 14.3925i | 0.466978 | − | 1.07275i | ||||
\(181\) | −5.73837 | − | 5.73837i | −0.426530 | − | 0.426530i | 0.460915 | − | 0.887444i | \(-0.347521\pi\) |
−0.887444 | + | 0.460915i | \(0.847521\pi\) | |||||||
\(182\) | −12.2416 | − | 14.7832i | −0.907409 | − | 1.09580i | ||||
\(183\) | −8.96234 | + | 1.83426i | −0.662515 | + | 0.135593i | ||||
\(184\) | 0.885951 | − | 2.81232i | 0.0653132 | − | 0.207327i | ||||
\(185\) | −3.99708 | + | 6.92314i | −0.293871 | + | 0.509000i | ||||
\(186\) | −7.41169 | + | 1.40555i | −0.543451 | + | 0.103060i | ||||
\(187\) | −23.7471 | − | 6.36301i | −1.73656 | − | 0.465309i | ||||
\(188\) | 9.60667 | + | 5.92328i | 0.700638 | + | 0.432000i | ||||
\(189\) | −11.9245 | − | 6.84147i | −0.867382 | − | 0.497643i | ||||
\(190\) | 5.89127 | − | 20.7797i | 0.427397 | − | 1.50752i | ||||
\(191\) | −6.72903 | − | 11.6550i | −0.486896 | − | 0.843328i | 0.512991 | − | 0.858394i | \(-0.328537\pi\) |
−0.999886 | + | 0.0150661i | \(0.995204\pi\) | |||||||
\(192\) | −5.09979 | − | 12.8838i | −0.368046 | − | 0.929808i | ||||
\(193\) | 6.12985 | − | 10.6172i | 0.441236 | − | 0.764243i | −0.556546 | − | 0.830817i | \(-0.687874\pi\) |
0.997781 | + | 0.0665740i | \(0.0212068\pi\) | |||||||
\(194\) | 14.8538 | − | 3.75070i | 1.06644 | − | 0.269285i | ||||
\(195\) | −12.8070 | + | 19.3982i | −0.917127 | + | 1.38914i | ||||
\(196\) | −13.7545 | − | 2.61021i | −0.982466 | − | 0.186443i | ||||
\(197\) | 7.79286 | − | 7.79286i | 0.555219 | − | 0.555219i | −0.372724 | − | 0.927942i | \(-0.621576\pi\) |
0.927942 | + | 0.372724i | \(0.121576\pi\) | |||||||
\(198\) | −1.91886 | + | 14.2009i | −0.136368 | + | 1.00921i | ||||
\(199\) | 1.47583 | − | 2.55620i | 0.104618 | − | 0.181204i | −0.808964 | − | 0.587858i | \(-0.799971\pi\) |
0.913582 | + | 0.406654i | \(0.133305\pi\) | |||||||
\(200\) | −5.09257 | + | 1.13033i | −0.360099 | + | 0.0799261i | ||||
\(201\) | 10.2239 | − | 9.06653i | 0.721136 | − | 0.639503i | ||||
\(202\) | −10.3403 | − | 18.5235i | −0.727540 | − | 1.30331i | ||||
\(203\) | −0.554496 | + | 0.263958i | −0.0389180 | + | 0.0185262i | ||||
\(204\) | −22.8688 | + | 10.6199i | −1.60114 | + | 0.743544i | ||||
\(205\) | 23.7593 | + | 6.36627i | 1.65942 | + | 0.444640i | ||||
\(206\) | −15.3397 | − | 15.7899i | −1.06876 | − | 1.10013i | ||||
\(207\) | −0.373918 | + | 3.10499i | −0.0259891 | + | 0.215812i | ||||
\(208\) | 4.15597 | + | 20.0937i | 0.288165 | + | 1.39325i | ||||
\(209\) | 19.7177i | 1.36390i | ||||||||
\(210\) | 1.82932 | + | 16.8557i | 0.126235 | + | 1.16315i | ||||
\(211\) | 11.9004 | + | 11.9004i | 0.819254 | + | 0.819254i | 0.986000 | − | 0.166745i | \(-0.0533258\pi\) |
−0.166745 | + | 0.986000i | \(0.553326\pi\) | |||||||
\(212\) | 7.63242 | + | 8.08720i | 0.524197 | + | 0.555431i | ||||
\(213\) | 1.76995 | + | 3.53966i | 0.121275 | + | 0.242534i | ||||
\(214\) | −0.207240 | + | 14.3295i | −0.0141666 | + | 0.979545i | ||||
\(215\) | 5.24847 | − | 3.03021i | 0.357943 | − | 0.206658i | ||||
\(216\) | 7.83471 | + | 12.4345i | 0.533085 | + | 0.846062i | ||||
\(217\) | 6.20002 | − | 5.28708i | 0.420885 | − | 0.358910i | ||||
\(218\) | −0.363625 | − | 0.651393i | −0.0246278 | − | 0.0441179i | ||||
\(219\) | −18.6233 | − | 1.11731i | −1.25844 | − | 0.0755010i | ||||
\(220\) | 15.5542 | − | 8.39007i | 1.04866 | − | 0.565658i | ||||
\(221\) | 36.0659 | − | 9.66384i | 2.42606 | − | 0.650060i | ||||
\(222\) | −3.25035 | − | 6.74228i | −0.218149 | − | 0.452512i | ||||
\(223\) | − | 7.42867i | − | 0.497461i | −0.968573 | − | 0.248730i | \(-0.919987\pi\) | ||
0.968573 | − | 0.248730i | \(-0.0800133\pi\) | |||||||
\(224\) | 11.6825 | + | 9.35512i | 0.780573 | + | 0.625065i | ||||
\(225\) | 5.08806 | − | 2.17373i | 0.339204 | − | 0.144915i | ||||
\(226\) | 2.38115 | + | 9.43001i | 0.158392 | + | 0.627275i | ||||
\(227\) | 1.46401 | + | 5.46376i | 0.0971698 | + | 0.362642i | 0.997339 | − | 0.0728968i | \(-0.0232244\pi\) |
−0.900170 | + | 0.435539i | \(0.856558\pi\) | |||||||
\(228\) | 12.9744 | + | 15.5120i | 0.859250 | + | 1.02731i | ||||
\(229\) | −0.484703 | + | 1.80894i | −0.0320301 | + | 0.119538i | −0.980090 | − | 0.198554i | \(-0.936375\pi\) |
0.948060 | + | 0.318092i | \(0.103042\pi\) | |||||||
\(230\) | 3.36777 | − | 1.87998i | 0.222064 | − | 0.123962i | ||||
\(231\) | −5.80386 | − | 14.3488i | −0.381866 | − | 0.944081i | ||||
\(232\) | 0.655900 | + | 0.0284736i | 0.0430620 | + | 0.00186939i | ||||
\(233\) | −2.84179 | − | 4.92212i | −0.186172 | − | 0.322459i | 0.757799 | − | 0.652488i | \(-0.226275\pi\) |
−0.943971 | + | 0.330029i | \(0.892941\pi\) | |||||||
\(234\) | −8.25999 | − | 20.1353i | −0.539973 | − | 1.31628i | ||||
\(235\) | 3.82094 | + | 14.2599i | 0.249251 | + | 0.930217i | ||||
\(236\) | −5.44699 | + | 5.14068i | −0.354569 | + | 0.334630i | ||||
\(237\) | −7.64478 | + | 11.5792i | −0.496582 | + | 0.752152i | ||||
\(238\) | 15.7659 | − | 22.2072i | 1.02195 | − | 1.43948i | ||||
\(239\) | −14.1287 | −0.913909 | −0.456954 | − | 0.889490i | \(-0.651060\pi\) | ||||
−0.456954 | + | 0.889490i | \(0.651060\pi\) | |||||||
\(240\) | 6.71579 | − | 16.8352i | 0.433503 | − | 1.08671i | ||||
\(241\) | −10.5955 | + | 18.3519i | −0.682513 | + | 1.18215i | 0.291698 | + | 0.956510i | \(0.405780\pi\) |
−0.974211 | + | 0.225637i | \(0.927554\pi\) | |||||||
\(242\) | −0.414075 | + | 0.402268i | −0.0266177 | + | 0.0258588i | ||||
\(243\) | −10.5980 | − | 11.4316i | −0.679865 | − | 0.733337i | ||||
\(244\) | −10.2782 | + | 2.43778i | −0.657994 | + | 0.156063i | ||||
\(245\) | −10.7414 | − | 14.8322i | −0.686243 | − | 0.947594i | ||||
\(246\) | −17.4501 | + | 15.0296i | −1.11258 | + | 0.958253i | ||||
\(247\) | −14.9732 | − | 25.9343i | −0.952720 | − | 1.65016i | ||||
\(248\) | −8.50386 | + | 1.88748i | −0.539996 | + | 0.119855i | ||||
\(249\) | −3.24060 | + | 9.72270i | −0.205365 | + | 0.616151i | ||||
\(250\) | 10.0258 | + | 5.98334i | 0.634085 | + | 0.378419i | ||||
\(251\) | 10.6988 | + | 10.6988i | 0.675301 | + | 0.675301i | 0.958933 | − | 0.283632i | \(-0.0915393\pi\) |
−0.283632 | + | 0.958933i | \(0.591539\pi\) | |||||||
\(252\) | −14.0075 | − | 7.46926i | −0.882390 | − | 0.470519i | ||||
\(253\) | −2.48977 | + | 2.48977i | −0.156531 | + | 0.156531i | ||||
\(254\) | −1.54369 | − | 6.11344i | −0.0968600 | − | 0.383591i | ||||
\(255\) | −31.2902 | − | 10.4291i | −1.95947 | − | 0.653096i | ||||
\(256\) | −6.34703 | − | 14.6872i | −0.396689 | − | 0.917953i | ||||
\(257\) | −14.9863 | + | 8.65236i | −0.934821 | + | 0.539719i | −0.888333 | − | 0.459200i | \(-0.848136\pi\) |
−0.0464880 | + | 0.998919i | \(0.514803\pi\) | |||||||
\(258\) | −0.421696 | + | 5.65862i | −0.0262536 | + | 0.352290i | ||||
\(259\) | 6.65918 | + | 4.58427i | 0.413781 | + | 0.284853i | ||||
\(260\) | −14.0868 | + | 22.8467i | −0.873629 | + | 1.41689i | ||||
\(261\) | −0.689339 | + | 0.0985155i | −0.0426690 | + | 0.00609795i | ||||
\(262\) | −6.26043 | − | 0.0905411i | −0.386771 | − | 0.00559365i | ||||
\(263\) | −14.9718 | − | 8.64397i | −0.923201 | − | 0.533010i | −0.0385461 | − | 0.999257i | \(-0.512273\pi\) |
−0.884655 | + | 0.466246i | \(0.845606\pi\) | |||||||
\(264\) | −1.70638 | + | 16.4586i | −0.105020 | + | 1.01296i | ||||
\(265\) | 14.5460i | 0.893554i | ||||||||
\(266\) | −20.4767 | − | 7.60408i | −1.25550 | − | 0.466236i | ||||
\(267\) | −8.79571 | − | 5.80706i | −0.538289 | − | 0.355386i | ||||
\(268\) | 11.4753 | − | 10.8300i | 0.700967 | − | 0.661548i | ||||
\(269\) | −21.7841 | + | 5.83702i | −1.32820 | + | 0.355889i | −0.852043 | − | 0.523472i | \(-0.824636\pi\) |
−0.476155 | + | 0.879362i | \(0.657970\pi\) | |||||||
\(270\) | −3.71065 | + | 18.8633i | −0.225823 | + | 1.14798i | ||||
\(271\) | 0.996893 | − | 0.575557i | 0.0605570 | − | 0.0349626i | −0.469416 | − | 0.882977i | \(-0.655535\pi\) |
0.529973 | + | 0.848015i | \(0.322202\pi\) | |||||||
\(272\) | −26.0138 | + | 13.0754i | −1.57732 | + | 0.792815i | ||||
\(273\) | 18.5298 | + | 14.4653i | 1.12148 | + | 0.875482i | ||||
\(274\) | 8.60940 | − | 30.3672i | 0.520113 | − | 1.83455i | ||||
\(275\) | 6.01710 | + | 1.61228i | 0.362845 | + | 0.0972240i | ||||
\(276\) | −0.320425 | + | 3.59700i | −0.0192873 | + | 0.216514i | ||||
\(277\) | −13.4467 | + | 3.60302i | −0.807932 | + | 0.216485i | −0.639063 | − | 0.769154i | \(-0.720678\pi\) |
−0.168868 | + | 0.985639i | \(0.554011\pi\) | |||||||
\(278\) | −9.80250 | + | 16.4252i | −0.587915 | + | 0.985119i | ||||
\(279\) | 8.49632 | − | 3.62982i | 0.508661 | − | 0.217311i | ||||
\(280\) | 2.71459 | + | 19.3885i | 0.162228 | + | 1.15868i | ||||
\(281\) | 30.9858 | 1.84846 | 0.924229 | − | 0.381839i | \(-0.124709\pi\) | ||||
0.924229 | + | 0.381839i | \(0.124709\pi\) | |||||||
\(282\) | −13.0487 | − | 4.55985i | −0.777037 | − | 0.271535i | ||||
\(283\) | −2.35985 | − | 8.80706i | −0.140278 | − | 0.523526i | −0.999920 | − | 0.0126287i | \(-0.995980\pi\) |
0.859642 | − | 0.510897i | \(-0.170687\pi\) | |||||||
\(284\) | 2.16947 | + | 4.02194i | 0.128734 | + | 0.238658i | ||||
\(285\) | −1.58421 | + | 26.4054i | −0.0938405 | + | 1.56412i | ||||
\(286\) | 6.68345 | − | 23.5739i | 0.395201 | − | 1.39395i | ||||
\(287\) | 8.32167 | − | 23.4424i | 0.491213 | − | 1.38376i | ||||
\(288\) | 9.48745 | + | 14.0708i | 0.559053 | + | 0.829132i | ||||
\(289\) | 17.9902 | + | 31.1599i | 1.05825 | + | 1.83294i | ||||
\(290\) | 0.598404 | + | 0.615967i | 0.0351395 | + | 0.0361708i | ||||
\(291\) | −16.7820 | + | 8.39157i | −0.983778 | + | 0.491923i | ||||
\(292\) | −21.5339 | − | 0.622997i | −1.26018 | − | 0.0364581i | ||||
\(293\) | 0.312653 | − | 0.312653i | 0.0182654 | − | 0.0182654i | −0.697915 | − | 0.716180i | \(-0.745889\pi\) |
0.716180 | + | 0.697915i | \(0.245889\pi\) | |||||||
\(294\) | 17.1393 | − | 0.493685i | 0.999585 | − | 0.0287923i | ||||
\(295\) | −9.79720 | −0.570415 | ||||||||
\(296\) | −3.99269 | − | 7.66523i | −0.232071 | − | 0.445533i | ||||
\(297\) | −1.43802 | − | 17.4915i | −0.0834426 | − | 1.01496i | ||||
\(298\) | −6.36823 | − | 0.0921002i | −0.368902 | − | 0.00533522i | ||||
\(299\) | 1.38407 | − | 5.16542i | 0.0800428 | − | 0.298724i | ||||
\(300\) | 5.79456 | − | 2.69091i | 0.334549 | − | 0.155360i | ||||
\(301\) | −2.63433 | − | 5.53393i | −0.151840 | − | 0.318971i | ||||
\(302\) | −3.72886 | + | 13.1525i | −0.214572 | + | 0.756840i | ||||
\(303\) | 17.2388 | + | 19.4393i | 0.990341 | + | 1.11676i | ||||
\(304\) | 15.5295 | + | 17.4387i | 0.890679 | + | 1.00018i | ||||
\(305\) | −11.9665 | − | 6.90885i | −0.685199 | − | 0.395600i | ||||
\(306\) | 24.5636 | − | 18.7156i | 1.40421 | − | 1.06990i | ||||
\(307\) | −5.18531 | − | 5.18531i | −0.295941 | − | 0.295941i | 0.543480 | − | 0.839422i | \(-0.317106\pi\) |
−0.839422 | + | 0.543480i | \(0.817106\pi\) | |||||||
\(308\) | −7.21206 | − | 16.3529i | −0.410945 | − | 0.931791i | ||||
\(309\) | 22.5003 | + | 14.8551i | 1.28000 | + | 0.845075i | ||||
\(310\) | −9.78447 | − | 5.83933i | −0.555721 | − | 0.331652i | ||||
\(311\) | 23.6785 | + | 13.6708i | 1.34268 | + | 0.775198i | 0.987200 | − | 0.159485i | \(-0.0509834\pi\) |
0.355482 | + | 0.934683i | \(0.384317\pi\) | |||||||
\(312\) | −10.2539 | − | 22.9434i | −0.580513 | − | 1.29892i | ||||
\(313\) | 5.63063 | − | 3.25085i | 0.318262 | − | 0.183749i | −0.332356 | − | 0.943154i | \(-0.607843\pi\) |
0.650618 | + | 0.759405i | \(0.274510\pi\) | |||||||
\(314\) | −3.02957 | − | 5.42713i | −0.170968 | − | 0.306271i | ||||
\(315\) | −6.61952 | − | 19.6818i | −0.372968 | − | 1.10894i | ||||
\(316\) | −8.40875 | + | 13.6377i | −0.473029 | + | 0.767182i | ||||
\(317\) | 6.82939 | − | 25.4876i | 0.383577 | − | 1.43153i | −0.456822 | − | 0.889558i | \(-0.651012\pi\) |
0.840399 | − | 0.541969i | \(-0.182321\pi\) | |||||||
\(318\) | −11.2560 | − | 7.66735i | −0.631203 | − | 0.429964i | ||||
\(319\) | −0.678955 | − | 0.391995i | −0.0380142 | − | 0.0219475i | ||||
\(320\) | 7.14845 | − | 19.6707i | 0.399611 | − | 1.09962i | ||||
\(321\) | −3.51927 | − | 17.1954i | −0.196426 | − | 0.959753i | ||||
\(322\) | −1.62543 | − | 3.54578i | −0.0905818 | − | 0.197599i | ||||
\(323\) | 30.0463 | − | 30.0463i | 1.67182 | − | 1.67182i | ||||
\(324\) | −12.6408 | − | 12.8144i | −0.702269 | − | 0.711912i | ||||
\(325\) | −9.13849 | + | 2.44865i | −0.506912 | + | 0.135827i | ||||
\(326\) | −0.306911 | + | 21.2212i | −0.0169982 | + | 1.17534i | ||||
\(327\) | 0.606215 | + | 0.683599i | 0.0335238 | + | 0.0378031i | ||||
\(328\) | −19.6020 | + | 17.9709i | −1.08234 | + | 0.992278i | ||||
\(329\) | 14.6820 | − | 2.70948i | 0.809447 | − | 0.149378i | ||||
\(330\) | −16.4001 | + | 14.1253i | −0.902798 | + | 0.777572i | ||||
\(331\) | −8.74625 | − | 2.34355i | −0.480737 | − | 0.128813i | 0.0103085 | − | 0.999947i | \(-0.496719\pi\) |
−0.491046 | + | 0.871134i | \(0.663385\pi\) | |||||||
\(332\) | −3.39214 | + | 11.3374i | −0.186168 | + | 0.622221i | ||||
\(333\) | 5.66058 | + | 7.21058i | 0.310198 | + | 0.395137i | ||||
\(334\) | 3.67937 | + | 14.5713i | 0.201326 | + | 0.797306i | ||||
\(335\) | 20.6400 | 1.12769 | ||||||||
\(336\) | −16.4340 | − | 8.11927i | −0.896550 | − | 0.442942i | ||||
\(337\) | 12.1331 | 0.660930 | 0.330465 | − | 0.943818i | \(-0.392794\pi\) | ||||
0.330465 | + | 0.943818i | \(0.392794\pi\) | |||||||
\(338\) | 4.60985 | + | 18.2562i | 0.250743 | + | 0.993008i | ||||
\(339\) | −5.32744 | − | 10.6541i | −0.289347 | − | 0.578654i | ||||
\(340\) | −36.4867 | − | 10.9168i | −1.97877 | − | 0.592047i | ||||
\(341\) | 10.0477 | + | 2.69227i | 0.544113 | + | 0.145795i | ||||
\(342\) | −19.5979 | − | 15.1445i | −1.05974 | − | 0.818919i | ||||
\(343\) | −15.8134 | + | 9.64035i | −0.853844 | + | 0.520530i | ||||
\(344\) | −0.284170 | + | 6.54596i | −0.0153214 | + | 0.352935i | ||||
\(345\) | −3.53427 | + | 3.13420i | −0.190279 | + | 0.168739i | ||||
\(346\) | 0.0267749 | − | 1.85134i | 0.00143943 | − | 0.0995287i | ||||
\(347\) | −1.90188 | + | 0.509606i | −0.102098 | + | 0.0273571i | −0.309506 | − | 0.950897i | \(-0.600164\pi\) |
0.207408 | + | 0.978254i | \(0.433497\pi\) | |||||||
\(348\) | −0.792071 | + | 0.138373i | −0.0424595 | + | 0.00741759i | ||||
\(349\) | 17.8288 | − | 17.8288i | 0.954351 | − | 0.954351i | −0.0446512 | − | 0.999003i | \(-0.514218\pi\) |
0.999003 | + | 0.0446512i | \(0.0142176\pi\) | |||||||
\(350\) | −3.99481 | + | 5.62693i | −0.213532 | + | 0.300772i | ||||
\(351\) | 15.1741 | + | 21.9142i | 0.809931 | + | 1.16970i | ||||
\(352\) | −1.38034 | + | 19.0567i | −0.0735725 | + | 1.01573i | ||||
\(353\) | 18.7066 | + | 10.8003i | 0.995654 | + | 0.574841i | 0.906960 | − | 0.421218i | \(-0.138397\pi\) |
0.0886947 | + | 0.996059i | \(0.471730\pi\) | |||||||
\(354\) | 5.16421 | − | 7.58126i | 0.274475 | − | 0.402939i | ||||
\(355\) | −1.54712 | + | 5.77392i | −0.0821125 | + | 0.306448i | ||||
\(356\) | −10.3594 | − | 6.38738i | −0.549046 | − | 0.338531i | ||||
\(357\) | −13.0209 | + | 30.7090i | −0.689141 | + | 1.62529i | ||||
\(358\) | 7.49674 | + | 13.4296i | 0.396215 | + | 0.709774i | ||||
\(359\) | −1.46649 | + | 0.846678i | −0.0773983 | + | 0.0446859i | −0.538200 | − | 0.842817i | \(-0.680895\pi\) |
0.460801 | + | 0.887503i | \(0.347562\pi\) | |||||||
\(360\) | −3.60750 | + | 21.9038i | −0.190132 | + | 1.15443i | ||||
\(361\) | −13.0594 | − | 7.53985i | −0.687337 | − | 0.396834i | ||||
\(362\) | 9.85513 | + | 5.88150i | 0.517974 | + | 0.309125i | ||||
\(363\) | 0.389560 | − | 0.590051i | 0.0204466 | − | 0.0309696i | ||||
\(364\) | 21.9038 | + | 16.0319i | 1.14807 | + | 0.840300i | ||||
\(365\) | −19.9262 | − | 19.9262i | −1.04299 | − | 1.04299i | ||||
\(366\) | 11.6539 | − | 5.61816i | 0.609157 | − | 0.293666i | ||||
\(367\) | 25.2699 | + | 14.5896i | 1.31908 | + | 0.761570i | 0.983580 | − | 0.180471i | \(-0.0577622\pi\) |
0.335498 | + | 0.942041i | \(0.391096\pi\) | |||||||
\(368\) | −0.241077 | + | 4.16293i | −0.0125670 | + | 0.217008i | ||||
\(369\) | 16.9225 | − | 22.5659i | 0.880951 | − | 1.17474i | ||||
\(370\) | 3.08368 | − | 10.8768i | 0.160313 | − | 0.565456i | ||||
\(371\) | 14.6643 | + | 1.16545i | 0.761331 | + | 0.0605073i | ||||
\(372\) | 9.67608 | − | 4.49343i | 0.501681 | − | 0.232973i | ||||
\(373\) | −2.67337 | + | 9.97716i | −0.138422 | + | 0.516598i | 0.861538 | + | 0.507692i | \(0.169501\pi\) |
−0.999960 | + | 0.00890526i | \(0.997165\pi\) | |||||||
\(374\) | 34.7645 | + | 0.502780i | 1.79763 | + | 0.0259981i | ||||
\(375\) | −13.5658 | − | 4.52151i | −0.700534 | − | 0.233490i | ||||
\(376\) | −15.2233 | − | 4.79571i | −0.785080 | − | 0.247320i | ||||
\(377\) | 1.19069 | 0.0613235 | ||||||||
\(378\) | 18.7194 | + | 5.25218i | 0.962820 | + | 0.270143i | ||||
\(379\) | 15.1494 | − | 15.1494i | 0.778170 | − | 0.778170i | −0.201349 | − | 0.979520i | \(-0.564533\pi\) |
0.979520 | + | 0.201349i | \(0.0645326\pi\) | |||||||
\(380\) | −0.883331 | + | 30.5324i | −0.0453139 | + | 1.56628i | ||||
\(381\) | 3.45376 | + | 6.90705i | 0.176941 | + | 0.353859i | ||||
\(382\) | 13.2620 | + | 13.6513i | 0.678545 | + | 0.698460i | ||||
\(383\) | −17.5315 | − | 30.3655i | −0.895820 | − | 1.55161i | −0.832786 | − | 0.553594i | \(-0.813256\pi\) |
−0.0630335 | − | 0.998011i | \(-0.520078\pi\) | |||||||
\(384\) | 11.4535 | + | 15.9002i | 0.584484 | + | 0.811405i | ||||
\(385\) | 7.82096 | − | 22.0318i | 0.398593 | − | 1.12285i | ||||
\(386\) | −4.72907 | + | 16.6804i | −0.240703 | + | 0.849010i | ||||
\(387\) | −0.983196 | − | 6.87968i | −0.0499787 | − | 0.349714i | ||||
\(388\) | −19.0685 | + | 10.2857i | −0.968058 | + | 0.522180i | ||||
\(389\) | −5.43803 | − | 20.2950i | −0.275719 | − | 1.02900i | −0.955358 | − | 0.295451i | \(-0.904530\pi\) |
0.679639 | − | 0.733547i | \(-0.262136\pi\) | |||||||
\(390\) | 10.8443 | − | 31.0326i | 0.549124 | − | 1.57139i | ||||
\(391\) | 7.58793 | 0.383738 | ||||||||
\(392\) | 19.7636 | − | 1.18322i | 0.998213 | − | 0.0597615i | ||||
\(393\) | 7.51250 | − | 1.53753i | 0.378956 | − | 0.0775584i | ||||
\(394\) | −7.98724 | + | 13.3835i | −0.402391 | + | 0.674253i | ||||
\(395\) | −20.2436 | + | 5.42425i | −1.01856 | + | 0.272924i | ||||
\(396\) | −2.28573 | − | 20.1363i | −0.114862 | − | 1.01189i | ||||
\(397\) | −24.4308 | − | 6.54620i | −1.22614 | − | 0.328545i | −0.413068 | − | 0.910700i | \(-0.635543\pi\) |
−0.813077 | + | 0.582156i | \(0.802209\pi\) | |||||||
\(398\) | −1.13857 | + | 4.01598i | −0.0570715 | + | 0.201303i | ||||
\(399\) | 26.4932 | + | 3.71274i | 1.32632 | + | 0.185870i | ||||
\(400\) | 6.59146 | − | 3.31309i | 0.329573 | − | 0.165655i | ||||
\(401\) | 1.87721 | − | 1.08381i | 0.0937434 | − | 0.0541228i | −0.452395 | − | 0.891817i | \(-0.649430\pi\) |
0.546139 | + | 0.837695i | \(0.316097\pi\) | |||||||
\(402\) | −10.8796 | + | 15.9716i | −0.542624 | + | 0.796593i | ||||
\(403\) | −15.2600 | + | 4.08889i | −0.760152 | + | 0.203682i | ||||
\(404\) | 20.5918 | + | 21.8188i | 1.02448 | + | 1.08552i | ||||
\(405\) | −0.520413 | − | 23.5397i | −0.0258595 | − | 1.16970i | ||||
\(406\) | 0.668920 | − | 0.553917i | 0.0331979 | − | 0.0274904i | ||||
\(407\) | 10.3209i | 0.511587i | ||||||||
\(408\) | 27.6802 | − | 22.4797i | 1.37037 | − | 1.11291i | ||||
\(409\) | 20.0783 | + | 11.5922i | 0.992809 | + | 0.573199i | 0.906113 | − | 0.423036i | \(-0.139036\pi\) |
0.0866966 | + | 0.996235i | \(0.472369\pi\) | |||||||
\(410\) | −34.7823 | − | 0.503037i | −1.71778 | − | 0.0248432i | ||||
\(411\) | −2.31514 | + | 38.5885i | −0.114197 | + | 1.90343i | ||||
\(412\) | 26.5003 | + | 16.3396i | 1.30558 | + | 0.804994i | ||||
\(413\) | −0.784970 | + | 9.87686i | −0.0386259 | + | 0.486009i | ||||
\(414\) | −0.562344 | − | 4.38695i | −0.0276377 | − | 0.215607i | ||||
\(415\) | −13.4059 | + | 7.73991i | −0.658071 | + | 0.379937i | ||||
\(416\) | −12.6557 | − | 26.1130i | −0.620495 | − | 1.28030i | ||||
\(417\) | 7.40760 | − | 22.2248i | 0.362751 | − | 1.08835i | ||||
\(418\) | −6.82693 | − | 27.0365i | −0.333916 | − | 1.32240i | ||||
\(419\) | −8.05061 | + | 8.05061i | −0.393298 | + | 0.393298i | −0.875861 | − | 0.482563i | \(-0.839706\pi\) |
0.482563 | + | 0.875861i | \(0.339706\pi\) | |||||||
\(420\) | −8.34432 | − | 22.4788i | −0.407161 | − | 1.09685i | ||||
\(421\) | 0.873466 | + | 0.873466i | 0.0425701 | + | 0.0425701i | 0.728071 | − | 0.685501i | \(-0.240417\pi\) |
−0.685501 | + | 0.728071i | \(0.740417\pi\) | |||||||
\(422\) | −20.4378 | − | 12.1972i | −0.994896 | − | 0.593750i | ||||
\(423\) | 16.8075 | + | 2.02404i | 0.817210 | + | 0.0984123i | ||||
\(424\) | −13.2654 | − | 8.44638i | −0.644227 | − | 0.410192i | ||||
\(425\) | −6.71216 | − | 11.6258i | −0.325588 | − | 0.563934i | ||||
\(426\) | −3.65247 | − | 4.24069i | −0.176963 | − | 0.205462i | ||||
\(427\) | −7.92380 | + | 11.5102i | −0.383460 | + | 0.557019i | ||||
\(428\) | −4.67719 | − | 19.7200i | −0.226080 | − | 0.953203i | ||||
\(429\) | −1.79723 | + | 29.9561i | −0.0867713 | + | 1.44629i | ||||
\(430\) | −6.14742 | + | 5.97214i | −0.296455 | + | 0.288002i | ||||
\(431\) | 10.4850 | − | 18.1606i | 0.505047 | − | 0.874766i | −0.494936 | − | 0.868929i | \(-0.664809\pi\) |
0.999983 | − | 0.00583707i | \(-0.00185801\pi\) | |||||||
\(432\) | −15.0480 | − | 14.3373i | −0.723998 | − | 0.689802i | ||||
\(433\) | −16.4987 | −0.792877 | −0.396438 | − | 0.918061i | \(-0.629754\pi\) | ||||
−0.396438 | + | 0.918061i | \(0.629754\pi\) | |||||||
\(434\) | −6.67076 | + | 9.39616i | −0.320207 | + | 0.451030i | ||||
\(435\) | −0.877744 | − | 0.579499i | −0.0420846 | − | 0.0277849i | ||||
\(436\) | 0.724128 | + | 0.767275i | 0.0346794 | + | 0.0367458i | ||||
\(437\) | −1.57511 | − | 5.87838i | −0.0753476 | − | 0.281201i | ||||
\(438\) | 25.9226 | − | 4.91595i | 1.23863 | − | 0.234893i | ||||
\(439\) | −2.57666 | − | 4.46290i | −0.122977 | − | 0.213003i | 0.797963 | − | 0.602706i | \(-0.205911\pi\) |
−0.920940 | + | 0.389703i | \(0.872578\pi\) | |||||||
\(440\) | −18.4226 | + | 16.8896i | −0.878262 | + | 0.805181i | ||||
\(441\) | −20.3722 | + | 5.09640i | −0.970105 | + | 0.242686i | ||||
\(442\) | −46.1068 | + | 25.7380i | −2.19308 | + | 1.22423i | ||||
\(443\) | 2.48294 | − | 9.26646i | 0.117968 | − | 0.440263i | −0.881524 | − | 0.472140i | \(-0.843482\pi\) |
0.999492 | + | 0.0318768i | \(0.0101484\pi\) | |||||||
\(444\) | 6.79120 | + | 8.11946i | 0.322296 | + | 0.385333i | ||||
\(445\) | −4.12032 | − | 15.3772i | −0.195322 | − | 0.728951i | ||||
\(446\) | 2.57205 | + | 10.1860i | 0.121790 | + | 0.482322i | ||||
\(447\) | 7.64187 | − | 1.56401i | 0.361448 | − | 0.0739752i | ||||
\(448\) | −19.2579 | − | 8.78263i | −0.909849 | − | 0.414940i | ||||
\(449\) | − | 0.701207i | − | 0.0330920i | −0.999863 | − | 0.0165460i | \(-0.994733\pi\) | ||
0.999863 | − | 0.0165460i | \(-0.00526699\pi\) | |||||||
\(450\) | −6.22400 | + | 4.74222i | −0.293402 | + | 0.223550i | ||||
\(451\) | 30.6744 | − | 8.21919i | 1.44440 | − | 0.387027i | ||||
\(452\) | −6.52996 | − | 12.1058i | −0.307144 | − | 0.569407i | ||||
\(453\) | 1.00272 | − | 16.7132i | 0.0471120 | − | 0.785257i | ||||
\(454\) | −3.89915 | − | 6.98489i | −0.182996 | − | 0.327817i | ||||
\(455\) | 6.44372 | + | 34.9171i | 0.302086 | + | 1.63694i | ||||
\(456\) | −23.1609 | − | 16.7775i | −1.08461 | − | 0.785678i | ||||
\(457\) | 0.359990 | − | 0.207840i | 0.0168396 | − | 0.00972235i | −0.491557 | − | 0.870846i | \(-0.663572\pi\) |
0.508396 | + | 0.861123i | \(0.330239\pi\) | |||||||
\(458\) | 0.0382993 | − | 2.64819i | 0.00178961 | − | 0.123742i | ||||
\(459\) | −24.4627 | + | 28.8452i | −1.14182 | + | 1.34638i | ||||
\(460\) | −3.96689 | + | 3.74381i | −0.184957 | + | 0.174556i | ||||
\(461\) | −13.2059 | − | 13.2059i | −0.615061 | − | 0.615061i | 0.329200 | − | 0.944260i | \(-0.393221\pi\) |
−0.944260 | + | 0.329200i | \(0.893221\pi\) | |||||||
\(462\) | 12.9261 | + | 17.6652i | 0.601378 | + | 0.821860i | ||||
\(463\) | − | 24.2762i | − | 1.12821i | −0.825704 | − | 0.564104i | \(-0.809222\pi\) | ||
0.825704 | − | 0.564104i | \(-0.190778\pi\) | |||||||
\(464\) | −0.909213 | + | 0.188052i | −0.0422092 | + | 0.00873010i | ||||
\(465\) | 13.2393 | + | 4.41269i | 0.613957 | + | 0.204634i | ||||
\(466\) | 5.60079 | + | 5.76517i | 0.259452 | + | 0.267066i | ||||
\(467\) | 15.7069 | + | 4.20865i | 0.726829 | + | 0.194753i | 0.603217 | − | 0.797577i | \(-0.293885\pi\) |
0.123612 | + | 0.992331i | \(0.460552\pi\) | |||||||
\(468\) | 18.2974 | + | 24.7491i | 0.845798 | + | 1.14403i | ||||
\(469\) | 1.65372 | − | 20.8079i | 0.0763616 | − | 0.960818i | ||||
\(470\) | −10.1764 | − | 18.2300i | −0.469405 | − | 0.840885i | ||||
\(471\) | 5.05073 | + | 5.69545i | 0.232725 | + | 0.262433i | ||||
\(472\) | 5.68891 | − | 8.93471i | 0.261853 | − | 0.411253i | ||||
\(473\) | 3.91216 | − | 6.77606i | 0.179881 | − | 0.311563i | ||||
\(474\) | 6.47322 | − | 18.5240i | 0.297325 | − | 0.850837i | ||||
\(475\) | −7.61321 | + | 7.61321i | −0.349318 | + | 0.349318i | ||||
\(476\) | −13.9290 | + | 35.9087i | −0.638432 | + | 1.64587i | ||||
\(477\) | 15.4801 | + | 6.21251i | 0.708783 | + | 0.284451i | ||||
\(478\) | 19.3729 | − | 4.89182i | 0.886096 | − | 0.223747i | ||||
\(479\) | 2.20778 | − | 3.82399i | 0.100876 | − | 0.174723i | −0.811170 | − | 0.584811i | \(-0.801169\pi\) |
0.912046 | + | 0.410088i | \(0.134502\pi\) | |||||||
\(480\) | −3.37962 | + | 25.4093i | −0.154258 | + | 1.15977i | ||||
\(481\) | −7.83743 | − | 13.5748i | −0.357356 | − | 0.618959i | ||||
\(482\) | 8.17421 | − | 28.8321i | 0.372325 | − | 1.31327i | ||||
\(483\) | 2.87651 | + | 3.81413i | 0.130886 | + | 0.173549i | ||||
\(484\) | 0.428491 | − | 0.694947i | 0.0194768 | − | 0.0315885i | ||||
\(485\) | −27.3749 | − | 7.33509i | −1.24303 | − | 0.333069i | ||||
\(486\) | 18.4898 | + | 12.0053i | 0.838714 | + | 0.544573i | ||||
\(487\) | −20.3373 | + | 35.2252i | −0.921569 | + | 1.59620i | −0.124580 | + | 0.992210i | \(0.539758\pi\) |
−0.796989 | + | 0.603994i | \(0.793575\pi\) | |||||||
\(488\) | 13.2492 | − | 6.90127i | 0.599762 | − | 0.312406i | ||||
\(489\) | −5.21185 | − | 25.4654i | −0.235688 | − | 1.15159i | ||||
\(490\) | 19.8637 | + | 16.6185i | 0.897352 | + | 0.750748i | ||||
\(491\) | −9.25599 | − | 9.25599i | −0.417717 | − | 0.417717i | 0.466699 | − | 0.884416i | \(-0.345443\pi\) |
−0.884416 | + | 0.466699i | \(0.845443\pi\) | |||||||
\(492\) | 18.7234 | − | 26.6500i | 0.844116 | − | 1.20148i | ||||
\(493\) | 0.437276 | + | 1.63194i | 0.0196939 | + | 0.0734987i | ||||
\(494\) | 29.5101 | + | 30.3763i | 1.32772 | + | 1.36669i | ||||
\(495\) | 15.9043 | − | 21.2082i | 0.714845 | − | 0.953236i | ||||
\(496\) | 11.0068 | − | 5.53239i | 0.494219 | − | 0.248412i | ||||
\(497\) | 5.69691 | + | 2.02232i | 0.255541 | + | 0.0907132i | ||||
\(498\) | 1.07712 | − | 14.4535i | 0.0482668 | − | 0.647678i | ||||
\(499\) | 6.57495 | − | 24.5381i | 0.294335 | − | 1.09847i | −0.647408 | − | 0.762143i | \(-0.724147\pi\) |
0.941744 | − | 0.336331i | \(-0.109186\pi\) | |||||||
\(500\) | −15.8187 | − | 4.73295i | −0.707434 | − | 0.211664i | ||||
\(501\) | −8.23199 | − | 16.4628i | −0.367778 | − | 0.735506i | ||||
\(502\) | −18.3742 | − | 10.9656i | −0.820080 | − | 0.489421i | ||||
\(503\) | − | 5.54151i | − | 0.247084i | −0.992339 | − | 0.123542i | \(-0.960575\pi\) | ||
0.992339 | − | 0.123542i | \(-0.0394253\pi\) | |||||||
\(504\) | 21.7929 | + | 5.39180i | 0.970731 | + | 0.240170i | ||||
\(505\) | 39.2442i | 1.74634i | ||||||||
\(506\) | 2.55187 | − | 4.27596i | 0.113445 | − | 0.190090i | ||||
\(507\) | −10.3138 | − | 20.6261i | −0.458050 | − | 0.916038i | ||||
\(508\) | 4.23335 | + | 7.84812i | 0.187825 | + | 0.348204i | ||||
\(509\) | −10.3227 | + | 38.5250i | −0.457548 | + | 1.70759i | 0.222940 | + | 0.974832i | \(0.428435\pi\) |
−0.680488 | + | 0.732759i | \(0.738232\pi\) | |||||||
\(510\) | 46.5153 | + | 3.46644i | 2.05973 | + | 0.153497i | ||||
\(511\) | −21.6848 | + | 18.4917i | −0.959278 | + | 0.818025i | ||||
\(512\) | 13.7881 | + | 17.9412i | 0.609354 | + | 0.792899i | ||||
\(513\) | 27.4244 | + | 12.9635i | 1.21082 | + | 0.572354i | ||||
\(514\) | 17.5531 | − | 17.0527i | 0.774236 | − | 0.752161i | ||||
\(515\) | 10.5402 | + | 39.3366i | 0.464457 | + | 1.73338i | ||||
\(516\) | −1.38098 | − | 7.90497i | −0.0607944 | − | 0.347997i | ||||
\(517\) | 13.4773 | + | 13.4773i | 0.592731 | + | 0.592731i | ||||
\(518\) | −10.7181 | − | 3.98021i | −0.470928 | − | 0.174881i | ||||
\(519\) | 0.454681 | + | 2.22161i | 0.0199583 | + | 0.0975177i | ||||
\(520\) | 11.4052 | − | 36.2042i | 0.500153 | − | 1.58766i | ||||
\(521\) | −3.33292 | + | 5.77279i | −0.146018 | + | 0.252910i | −0.929752 | − | 0.368186i | \(-0.879979\pi\) |
0.783734 | + | 0.621096i | \(0.213312\pi\) | |||||||
\(522\) | 0.911095 | − | 0.373754i | 0.0398775 | − | 0.0163588i | ||||
\(523\) | 30.8400 | + | 8.26355i | 1.34854 | + | 0.361340i | 0.859595 | − | 0.510976i | \(-0.170716\pi\) |
0.488943 | + | 0.872316i | \(0.337383\pi\) | |||||||
\(524\) | 8.61549 | − | 2.04342i | 0.376370 | − | 0.0892672i | ||||
\(525\) | 3.29928 | − | 7.78114i | 0.143992 | − | 0.339597i | ||||
\(526\) | 23.5218 | + | 6.66867i | 1.02560 | + | 0.290768i | ||||
\(527\) | −11.2083 | − | 19.4134i | −0.488243 | − | 0.845661i | ||||
\(528\) | −3.35876 | − | 23.1584i | −0.146171 | − | 1.00784i | ||||
\(529\) | −10.9566 | + | 18.9774i | −0.476375 | + | 0.825106i | ||||
\(530\) | −5.03631 | − | 19.9451i | −0.218763 | − | 0.866361i | ||||
\(531\) | −4.18433 | + | 10.4263i | −0.181584 | + | 0.452464i | ||||
\(532\) | 30.7099 | + | 3.33683i | 1.33144 | + | 0.144670i | ||||
\(533\) | −34.1040 | + | 34.1040i | −1.47721 | + | 1.47721i | ||||
\(534\) | 14.0711 | + | 4.91713i | 0.608914 | + | 0.212785i | ||||
\(535\) | 13.2555 | − | 22.9592i | 0.573086 | − | 0.992614i | ||||
\(536\) | −11.9850 | + | 18.8230i | −0.517672 | + | 0.813029i | ||||
\(537\) | −12.4981 | − | 14.0935i | −0.539335 | − | 0.608181i | ||||
\(538\) | 27.8488 | − | 15.5459i | 1.20065 | − | 0.670233i | ||||
\(539\) | −21.5844 | − | 9.64978i | −0.929704 | − | 0.415646i | ||||
\(540\) | −1.44314 | − | 27.1496i | −0.0621030 | − | 1.16833i | ||||
\(541\) | 2.64502 | + | 0.708732i | 0.113718 | + | 0.0304708i | 0.315229 | − | 0.949015i | \(-0.397919\pi\) |
−0.201511 | + | 0.979486i | \(0.564585\pi\) | |||||||
\(542\) | −1.16764 | + | 1.13435i | −0.0501544 | + | 0.0487244i | ||||
\(543\) | −13.3349 | − | 4.44456i | −0.572255 | − | 0.190734i | ||||
\(544\) | 31.1424 | − | 26.9356i | 1.33522 | − | 1.15485i | ||||
\(545\) | 1.38006i | 0.0591151i | ||||||||
\(546\) | −30.4160 | − | 13.4189i | −1.30169 | − | 0.574275i | ||||
\(547\) | 9.50732 | + | 9.50732i | 0.406504 | + | 0.406504i | 0.880517 | − | 0.474014i | \(-0.157195\pi\) |
−0.474014 | + | 0.880517i | \(0.657195\pi\) | |||||||
\(548\) | −1.29089 | + | 44.6196i | −0.0551439 | + | 1.90605i | ||||
\(549\) | −12.4633 | + | 9.78417i | −0.531921 | + | 0.417578i | ||||
\(550\) | −8.80873 | − | 0.127396i | −0.375605 | − | 0.00543217i | ||||
\(551\) | 1.17349 | − | 0.677516i | 0.0499924 | − | 0.0288631i | ||||
\(552\) | −0.806041 | − | 5.04306i | −0.0343074 | − | 0.214647i | ||||
\(553\) | 3.84640 | + | 20.8428i | 0.163566 | + | 0.886325i | ||||
\(554\) | 17.1902 | − | 9.59606i | 0.730344 | − | 0.407697i | ||||
\(555\) | −0.829226 | + | 13.8214i | −0.0351987 | + | 0.586687i | ||||
\(556\) | 7.75400 | − | 25.9158i | 0.328843 | − | 1.09907i | ||||
\(557\) | 30.8981 | − | 8.27911i | 1.30919 | − | 0.350797i | 0.464274 | − | 0.885691i | \(-0.346315\pi\) |
0.844919 | + | 0.534894i | \(0.179649\pi\) | |||||||
\(558\) | −10.3932 | + | 7.91882i | −0.439979 | + | 0.335230i | ||||
\(559\) | 11.8832i | 0.502606i | ||||||||
\(560\) | −10.4351 | − | 25.6451i | −0.440964 | − | 1.08370i | ||||
\(561\) | −41.7173 | + | 8.53802i | −1.76131 | + | 0.360475i | ||||
\(562\) | −42.4870 | + | 10.7283i | −1.79220 | + | 0.452546i | ||||
\(563\) | 1.04342 | + | 3.89411i | 0.0439750 | + | 0.164117i | 0.984421 | − | 0.175825i | \(-0.0562593\pi\) |
−0.940446 | + | 0.339942i | \(0.889593\pi\) | |||||||
\(564\) | 19.4708 | + | 1.73448i | 0.819868 | + | 0.0730348i | ||||
\(565\) | 4.65672 | − | 17.3791i | 0.195910 | − | 0.731145i | ||||
\(566\) | 6.28506 | + | 11.2590i | 0.264181 | + | 0.473250i | ||||
\(567\) | −23.7728 | − | 1.36140i | −0.998364 | − | 0.0571735i | ||||
\(568\) | −4.36726 | − | 4.76364i | −0.183246 | − | 0.199878i | ||||
\(569\) | −2.48807 | − | 4.30946i | −0.104305 | − | 0.180662i | 0.809149 | − | 0.587604i | \(-0.199929\pi\) |
−0.913454 | + | 0.406942i | \(0.866595\pi\) | |||||||
\(570\) | −6.97020 | − | 36.7550i | −0.291950 | − | 1.53950i | ||||
\(571\) | −7.85817 | − | 29.3271i | −0.328854 | − | 1.22730i | −0.910380 | − | 0.413773i | \(-0.864211\pi\) |
0.581526 | − | 0.813528i | \(-0.302456\pi\) | |||||||
\(572\) | −1.00211 | + | 34.6380i | −0.0419003 | + | 1.44829i | ||||
\(573\) | −19.4529 | − | 12.8431i | −0.812655 | − | 0.536527i | ||||
\(574\) | −3.29395 | + | 35.0248i | −0.137487 | + | 1.46191i | ||||
\(575\) | −1.92265 | −0.0801801 | ||||||||
\(576\) | −17.8807 | − | 16.0087i | −0.745031 | − | 0.667030i | ||||
\(577\) | 0.860428 | − | 1.49031i | 0.0358201 | − | 0.0620422i | −0.847560 | − | 0.530700i | \(-0.821929\pi\) |
0.883380 | + | 0.468658i | \(0.155262\pi\) | |||||||
\(578\) | −35.4563 | − | 36.4969i | −1.47479 | − | 1.51807i | ||||
\(579\) | 1.27168 | − | 21.1963i | 0.0528494 | − | 0.880888i | ||||
\(580\) | −1.03378 | − | 0.637411i | −0.0429256 | − | 0.0264671i | ||||
\(581\) | 6.72874 | + | 14.1351i | 0.279155 | + | 0.586421i | ||||
\(582\) | 20.1056 | − | 17.3168i | 0.833405 | − | 0.717805i | ||||
\(583\) | 9.38983 | + | 16.2637i | 0.388887 | + | 0.673572i | ||||
\(584\) | 29.7425 | − | 6.60152i | 1.23075 | − | 0.273173i | ||||
\(585\) | −4.81361 | + | 39.9720i | −0.199018 | + | 1.65264i | ||||
\(586\) | −0.320451 | + | 0.536952i | −0.0132377 | + | 0.0221813i | ||||
\(587\) | 15.5903 | + | 15.5903i | 0.643480 | + | 0.643480i | 0.951409 | − | 0.307930i | \(-0.0996361\pi\) |
−0.307930 | + | 0.951409i | \(0.599636\pi\) | |||||||
\(588\) | −23.3301 | + | 6.61113i | −0.962117 | + | 0.272638i | ||||
\(589\) | −12.7130 | + | 12.7130i | −0.523828 | + | 0.523828i | ||||
\(590\) | 13.4337 | − | 3.39212i | 0.553056 | − | 0.139651i | ||||
\(591\) | 6.03583 | − | 18.1091i | 0.248281 | − | 0.744911i | ||||
\(592\) | 8.12864 | + | 9.12798i | 0.334085 | + | 0.375158i | ||||
\(593\) | 24.8897 | − | 14.3701i | 1.02210 | − | 0.590109i | 0.107387 | − | 0.994217i | \(-0.465752\pi\) |
0.914711 | + | 0.404109i | \(0.132418\pi\) | |||||||
\(594\) | 8.02793 | + | 23.4861i | 0.329390 | + | 0.963645i | ||||
\(595\) | −45.4903 | + | 21.6548i | −1.86492 | + | 0.887762i | ||||
\(596\) | 8.76385 | − | 2.07861i | 0.358981 | − | 0.0851431i | ||||
\(597\) | 0.306172 | − | 5.10323i | 0.0125308 | − | 0.208861i | ||||
\(598\) | −0.109364 | + | 7.56191i | −0.00447221 | + | 0.309229i | ||||
\(599\) | −25.1110 | − | 14.4978i | −1.02601 | − | 0.592365i | −0.110169 | − | 0.993913i | \(-0.535139\pi\) |
−0.915838 | + | 0.401547i | \(0.868472\pi\) | |||||||
\(600\) | −7.01368 | + | 5.69598i | −0.286332 | + | 0.232537i | ||||
\(601\) | − | 25.2326i | − | 1.02926i | −0.857413 | − | 0.514629i | \(-0.827930\pi\) | ||
0.857413 | − | 0.514629i | \(-0.172070\pi\) | |||||||
\(602\) | 5.52816 | + | 6.67590i | 0.225311 | + | 0.272089i | ||||
\(603\) | 8.81524 | − | 21.9654i | 0.358984 | − | 0.894501i | ||||
\(604\) | 0.559102 | − | 19.3254i | 0.0227496 | − | 0.786340i | ||||
\(605\) | 1.03157 | − | 0.276407i | 0.0419391 | − | 0.0112376i | ||||
\(606\) | −30.3679 | − | 20.6860i | −1.23361 | − | 0.840313i | ||||
\(607\) | −3.05575 | + | 1.76424i | −0.124029 | + | 0.0716083i | −0.560731 | − | 0.827998i | \(-0.689480\pi\) |
0.436702 | + | 0.899606i | \(0.356146\pi\) | |||||||
\(608\) | −27.3316 | − | 18.5347i | −1.10844 | − | 0.751682i | ||||
\(609\) | −0.654537 | + | 0.838450i | −0.0265232 | + | 0.0339757i | ||||
\(610\) | 18.8002 | + | 5.33006i | 0.761199 | + | 0.215808i | ||||
\(611\) | −27.9608 | − | 7.49206i | −1.13117 | − | 0.303096i | ||||
\(612\) | −27.2011 | + | 34.1672i | −1.09954 | + | 1.38113i | ||||
\(613\) | 8.53316 | − | 2.28645i | 0.344651 | − | 0.0923489i | −0.0823414 | − | 0.996604i | \(-0.526240\pi\) |
0.426992 | + | 0.904255i | \(0.359573\pi\) | |||||||
\(614\) | 8.90530 | + | 5.31465i | 0.359389 | + | 0.214482i | ||||
\(615\) | 41.7387 | − | 8.54239i | 1.68307 | − | 0.344463i | ||||
\(616\) | 15.5509 | + | 19.9256i | 0.626564 | + | 0.802825i | ||||
\(617\) | −0.165107 | −0.00664695 | −0.00332347 | − | 0.999994i | \(-0.501058\pi\) | ||||
−0.00332347 | + | 0.999994i | \(0.501058\pi\) | |||||||
\(618\) | −35.9952 | − | 12.5785i | −1.44794 | − | 0.505983i | ||||
\(619\) | −4.36898 | − | 16.3052i | −0.175604 | − | 0.655363i | −0.996448 | − | 0.0842106i | \(-0.973163\pi\) |
0.820844 | − | 0.571152i | \(-0.193504\pi\) | |||||||
\(620\) | 15.4380 | + | 4.61904i | 0.620005 | + | 0.185505i | ||||
\(621\) | 1.82599 | + | 5.09982i | 0.0732743 | + | 0.204649i | ||||
\(622\) | −37.2006 | − | 10.5468i | −1.49161 | − | 0.422886i | ||||
\(623\) | −15.8324 | + | 2.92177i | −0.634312 | + | 0.117058i | ||||
\(624\) | 22.0037 | + | 27.9092i | 0.880852 | + | 1.11726i | ||||
\(625\) | −15.4100 | − | 26.6910i | −0.616402 | − | 1.06764i | ||||
\(626\) | −6.59504 | + | 6.40699i | −0.263591 | + | 0.256075i | ||||
\(627\) | 15.2741 | + | 30.5461i | 0.609989 | + | 1.21990i | ||||
\(628\) | 6.03312 | + | 6.39261i | 0.240748 | + | 0.255093i | ||||
\(629\) | 15.7272 | − | 15.7272i | 0.627083 | − | 0.627083i | ||||
\(630\) | 15.8910 | + | 24.6953i | 0.633113 | + | 0.983885i | ||||
\(631\) | 46.9954 | 1.87086 | 0.935428 | − | 0.353517i | \(-0.115014\pi\) | ||||
0.935428 | + | 0.353517i | \(0.115014\pi\) | |||||||
\(632\) | 6.80804 | − | 21.6111i | 0.270809 | − | 0.859644i | ||||
\(633\) | 27.6542 | + | 9.21722i | 1.09916 | + | 0.366352i | ||||
\(634\) | −0.539631 | + | 37.3126i | −0.0214315 | + | 1.48187i | ||||
\(635\) | −3.01894 | + | 11.2668i | −0.119803 | + | 0.447110i | ||||
\(636\) | 18.0886 | + | 6.61610i | 0.717260 | + | 0.262345i | ||||
\(637\) | 35.7172 | − | 3.69849i | 1.41517 | − | 0.146540i | ||||
\(638\) | 1.06669 | + | 0.302417i | 0.0422306 | + | 0.0119728i | ||||
\(639\) | 5.48392 | + | 4.11247i | 0.216941 | + | 0.162687i | ||||
\(640\) | −2.99114 | + | 29.4470i | −0.118235 | + | 1.16399i | ||||
\(641\) | 31.0249 | + | 17.9123i | 1.22541 | + | 0.707491i | 0.966067 | − | 0.258293i | \(-0.0831601\pi\) |
0.259345 | + | 0.965785i | \(0.416493\pi\) | |||||||
\(642\) | 10.7791 | + | 22.3594i | 0.425419 | + | 0.882455i | ||||
\(643\) | −7.82538 | − | 7.82538i | −0.308603 | − | 0.308603i | 0.535765 | − | 0.844367i | \(-0.320023\pi\) |
−0.844367 | + | 0.535765i | \(0.820023\pi\) | |||||||
\(644\) | 3.45642 | + | 4.29911i | 0.136202 | + | 0.169409i | ||||
\(645\) | 5.78347 | − | 8.75999i | 0.227724 | − | 0.344924i | ||||
\(646\) | −30.7957 | + | 51.6017i | −1.21164 | + | 2.03024i | ||||
\(647\) | −21.1311 | − | 12.2001i | −0.830751 | − | 0.479634i | 0.0233589 | − | 0.999727i | \(-0.492564\pi\) |
−0.854110 | + | 0.520093i | \(0.825897\pi\) | |||||||
\(648\) | 21.7696 | + | 13.1941i | 0.855190 | + | 0.518314i | ||||
\(649\) | −10.9541 | + | 6.32435i | −0.429986 | + | 0.248253i | ||||
\(650\) | 11.6827 | − | 6.52158i | 0.458232 | − | 0.255797i | ||||
\(651\) | 5.50932 | − | 12.9934i | 0.215927 | − | 0.509250i | ||||
\(652\) | −6.92667 | − | 29.2043i | −0.271269 | − | 1.14373i | ||||
\(653\) | −3.16947 | + | 11.8286i | −0.124031 | + | 0.462890i | −0.999803 | − | 0.0198345i | \(-0.993686\pi\) |
0.875772 | + | 0.482724i | \(0.160353\pi\) | |||||||
\(654\) | −1.06791 | − | 0.727442i | −0.0417587 | − | 0.0284452i | ||||
\(655\) | 10.0307 | + | 5.79121i | 0.391931 | + | 0.226281i | ||||
\(656\) | 20.6557 | − | 31.4282i | 0.806469 | − | 1.22706i | ||||
\(657\) | −29.7161 | + | 12.6954i | −1.15934 | + | 0.495294i | ||||
\(658\) | −19.1935 | + | 8.79857i | −0.748242 | + | 0.343004i | ||||
\(659\) | −13.5753 | + | 13.5753i | −0.528820 | + | 0.528820i | −0.920220 | − | 0.391400i | \(-0.871991\pi\) |
0.391400 | + | 0.920220i | \(0.371991\pi\) | |||||||
\(660\) | 17.5968 | − | 25.0465i | 0.684955 | − | 0.974935i | ||||
\(661\) | 21.2416 | − | 5.69167i | 0.826203 | − | 0.221380i | 0.179146 | − | 0.983822i | \(-0.442666\pi\) |
0.647057 | + | 0.762442i | \(0.276000\pi\) | |||||||
\(662\) | 12.8041 | + | 0.185178i | 0.497644 | + | 0.00719715i | ||||
\(663\) | 48.3863 | − | 42.9090i | 1.87917 | − | 1.66645i | ||||
\(664\) | 0.725843 | − | 16.7200i | 0.0281682 | − | 0.648863i | ||||
\(665\) | 26.2189 | + | 30.7463i | 1.01673 | + | 1.19229i | ||||
\(666\) | −10.2582 | − | 7.92709i | −0.397497 | − | 0.307169i | ||||
\(667\) | 0.233728 | + | 0.0626273i | 0.00905000 | + | 0.00242494i | ||||
\(668\) | −10.0901 | − | 18.7059i | −0.390399 | − | 0.723753i | ||||
\(669\) | −5.75454 | − | 11.5083i | −0.222483 | − | 0.444936i | ||||
\(670\) | −28.3011 | + | 7.14627i | −1.09337 | + | 0.276084i | ||||
\(671\) | −17.8394 | −0.688682 | ||||||||
\(672\) | 25.3451 | + | 5.44293i | 0.977709 | + | 0.209966i | ||||
\(673\) | −4.23796 | −0.163361 | −0.0816806 | − | 0.996659i | \(-0.526029\pi\) | ||||
−0.0816806 | + | 0.996659i | \(0.526029\pi\) | |||||||
\(674\) | −16.6366 | + | 4.20087i | −0.640817 | + | 0.161811i | ||||
\(675\) | 6.19842 | − | 7.30889i | 0.238577 | − | 0.281319i | ||||
\(676\) | −12.6418 | − | 23.4364i | −0.486224 | − | 0.901400i | ||||
\(677\) | 28.7855 | + | 7.71305i | 1.10632 | + | 0.296436i | 0.765334 | − | 0.643633i | \(-0.222574\pi\) |
0.340982 | + | 0.940070i | \(0.389241\pi\) | |||||||
\(678\) | 10.9937 | + | 12.7642i | 0.422209 | + | 0.490205i | ||||
\(679\) | −9.58805 | + | 27.0098i | −0.367956 | + | 1.03654i | ||||
\(680\) | 53.8095 | + | 2.33595i | 2.06350 | + | 0.0895797i | ||||
\(681\) | 6.50045 | + | 7.33022i | 0.249098 | + | 0.280895i | ||||
\(682\) | −14.7093 | − | 0.212732i | −0.563248 | − | 0.00814595i | ||||
\(683\) | 37.1934 | − | 9.96595i | 1.42317 | − | 0.381336i | 0.536561 | − | 0.843862i | \(-0.319723\pi\) |
0.886606 | + | 0.462525i | \(0.153057\pi\) | |||||||
\(684\) | 32.1157 | + | 13.9803i | 1.22798 | + | 0.534549i | ||||
\(685\) | −41.2883 | + | 41.2883i | −1.57754 | + | 1.57754i | ||||
\(686\) | 18.3451 | − | 18.6937i | 0.700421 | − | 0.713730i | ||||
\(687\) | 0.650384 | + | 3.17782i | 0.0248137 | + | 0.121242i | ||||
\(688\) | −1.87678 | − | 9.07406i | −0.0715516 | − | 0.345945i | ||||
\(689\) | −24.7005 | − | 14.2608i | −0.941013 | − | 0.543294i | ||||
\(690\) | 3.76095 | − | 5.52122i | 0.143177 | − | 0.210189i | ||||
\(691\) | −11.2585 | + | 42.0172i | −0.428293 | + | 1.59841i | 0.328333 | + | 0.944562i | \(0.393513\pi\) |
−0.756625 | + | 0.653849i | \(0.773153\pi\) | |||||||
\(692\) | 0.604282 | + | 2.54778i | 0.0229714 | + | 0.0968522i | ||||
\(693\) | −20.1063 | − | 17.7328i | −0.763775 | − | 0.673615i | ||||
\(694\) | 2.43136 | − | 1.35725i | 0.0922933 | − | 0.0515206i | ||||
\(695\) | 30.6442 | − | 17.6924i | 1.16240 | − | 0.671112i | ||||
\(696\) | 1.03816 | − | 0.463975i | 0.0393513 | − | 0.0175869i | ||||
\(697\) | −59.2669 | − | 34.2178i | −2.24489 | − | 1.29609i | ||||
\(698\) | −18.2735 | + | 30.6193i | −0.691660 | + | 1.15896i | ||||
\(699\) | −8.21528 | − | 5.42385i | −0.310731 | − | 0.205149i | ||||
\(700\) | 3.52936 | − | 9.09865i | 0.133397 | − | 0.343897i | ||||
\(701\) | −32.7611 | − | 32.7611i | −1.23737 | − | 1.23737i | −0.961073 | − | 0.276295i | \(-0.910893\pi\) |
−0.276295 | − | 0.961073i | \(-0.589107\pi\) | |||||||
\(702\) | −28.3937 | − | 24.7945i | −1.07165 | − | 0.935808i | ||||
\(703\) | −15.4485 | − | 8.91920i | −0.582651 | − | 0.336394i | ||||
\(704\) | −4.70537 | − | 26.6080i | −0.177340 | − | 1.00283i | ||||
\(705\) | 16.9656 | + | 19.1313i | 0.638962 | + | 0.720525i | ||||
\(706\) | −29.3895 | − | 8.33223i | −1.10609 | − | 0.313588i | ||||
\(707\) | 39.5633 | + | 3.14432i | 1.48793 | + | 0.118254i | ||||
\(708\) | −4.45616 | + | 12.1833i | −0.167473 | + | 0.457875i | ||||
\(709\) | −4.06017 | + | 15.1528i | −0.152483 | + | 0.569074i | 0.846825 | + | 0.531872i | \(0.178511\pi\) |
−0.999308 | + | 0.0372022i | \(0.988155\pi\) | |||||||
\(710\) | 0.122247 | − | 8.45273i | 0.00458785 | − | 0.317225i | ||||
\(711\) | −2.87335 | + | 23.8602i | −0.107759 | + | 0.894826i | ||||
\(712\) | 16.4160 | + | 5.17147i | 0.615217 | + | 0.193809i | ||||
\(713\) | −3.21055 | −0.120236 | ||||||||
\(714\) | 7.22152 | − | 46.6157i | 0.270258 | − | 1.74455i | ||||
\(715\) | −32.0520 | + | 32.0520i | −1.19868 | + | 1.19868i | ||||
\(716\) | −14.9291 | − | 15.8187i | −0.557927 | − | 0.591171i | ||||
\(717\) | −21.8878 | + | 10.9446i | −0.817414 | + | 0.408735i | ||||
\(718\) | 1.71767 | − | 1.66869i | 0.0641027 | − | 0.0622750i | ||||
\(719\) | 10.0861 | + | 17.4697i | 0.376149 | + | 0.651508i | 0.990498 | − | 0.137525i | \(-0.0439149\pi\) |
−0.614350 | + | 0.789034i | \(0.710582\pi\) | |||||||
\(720\) | −2.63731 | − | 31.2830i | −0.0982868 | − | 1.16585i | ||||
\(721\) | 40.5009 | − | 7.47419i | 1.50833 | − | 0.278353i | ||||
\(722\) | 20.5173 | + | 5.81686i | 0.763574 | + | 0.216481i | ||||
\(723\) | −2.19811 | + | 36.6379i | −0.0817486 | + | 1.36258i | ||||
\(724\) | −15.5495 | − | 4.65240i | −0.577892 | − | 0.172905i | ||||
\(725\) | −0.110798 | − | 0.413504i | −0.00411494 | − | 0.0153572i | ||||
\(726\) | −0.329860 | + | 0.943942i | −0.0122423 | + | 0.0350330i | ||||
\(727\) | −17.7130 | −0.656938 | −0.328469 | − | 0.944515i | \(-0.606533\pi\) | ||||
−0.328469 | + | 0.944515i | \(0.606533\pi\) | |||||||
\(728\) | −35.5848 | − | 14.3987i | −1.31886 | − | 0.533652i | ||||
\(729\) | −25.2736 | − | 9.49985i | −0.936058 | − | 0.351846i | ||||
\(730\) | 34.2215 | + | 20.4232i | 1.26659 | + | 0.755898i | ||||
\(731\) | −16.2869 | + | 4.36406i | −0.602393 | + | 0.161411i | ||||
\(732\) | −14.0343 | + | 11.7384i | −0.518722 | + | 0.433865i | ||||
\(733\) | −16.7903 | − | 4.49895i | −0.620164 | − | 0.166173i | −0.0649619 | − | 0.997888i | \(-0.520693\pi\) |
−0.555203 | + | 0.831715i | \(0.687359\pi\) | |||||||
\(734\) | −39.7009 | − | 11.2556i | −1.46539 | − | 0.415452i | ||||
\(735\) | −28.1299 | − | 14.6569i | −1.03759 | − | 0.540628i | ||||
\(736\) | −1.11079 | − | 5.79157i | −0.0409441 | − | 0.213480i | ||||
\(737\) | 23.0773 | − | 13.3237i | 0.850063 | − | 0.490784i | ||||
\(738\) | −15.3907 | + | 36.8010i | −0.566538 | + | 1.35466i | ||||
\(739\) | −5.06287 | + | 1.35659i | −0.186241 | + | 0.0499031i | −0.350734 | − | 0.936475i | \(-0.614068\pi\) |
0.164493 | + | 0.986378i | \(0.447401\pi\) | |||||||
\(740\) | −0.462364 | + | 15.9816i | −0.0169968 | + | 0.587496i | ||||
\(741\) | −43.2857 | − | 28.5779i | −1.59014 | − | 1.04983i | ||||
\(742\) | −20.5108 | + | 3.47922i | −0.752976 | + | 0.127726i | ||||
\(743\) | 47.2591i | 1.73377i | 0.498511 | + | 0.866883i | \(0.333880\pi\) | ||||
−0.498511 | + | 0.866883i | \(0.666120\pi\) | |||||||
\(744\) | −11.7118 | + | 9.51146i | −0.429376 | + | 0.348707i | ||||
\(745\) | 10.2034 | + | 5.89094i | 0.373824 | + | 0.215827i | ||||
\(746\) | 0.211239 | − | 14.6060i | 0.00773401 | − | 0.534765i | ||||
\(747\) | 2.51133 | + | 17.5724i | 0.0918848 | + | 0.642942i | ||||
\(748\) | −47.8423 | + | 11.3472i | −1.74929 | + | 0.414895i | ||||
\(749\) | −22.0838 | − | 15.2028i | −0.806926 | − | 0.555499i | ||||
\(750\) | 20.1666 | + | 1.50287i | 0.736379 | + | 0.0548769i | ||||
\(751\) | 36.2802 | − | 20.9464i | 1.32388 | − | 0.764343i | 0.339536 | − | 0.940593i | \(-0.389730\pi\) |
0.984346 | + | 0.176250i | \(0.0563966\pi\) | |||||||
\(752\) | 22.5342 | + | 1.30496i | 0.821738 | + | 0.0475871i | ||||
\(753\) | 24.8620 | + | 8.28656i | 0.906020 | + | 0.301979i | ||||
\(754\) | −1.63264 | + | 0.412255i | −0.0594573 | + | 0.0150134i | ||||
\(755\) | 17.8826 | − | 17.8826i | 0.650814 | − | 0.650814i | ||||
\(756\) | −27.4860 | − | 0.720403i | −0.999657 | − | 0.0262008i | ||||
\(757\) | −14.1962 | − | 14.1962i | −0.515968 | − | 0.515968i | 0.400381 | − | 0.916349i | \(-0.368878\pi\) |
−0.916349 | + | 0.400381i | \(0.868878\pi\) | |||||||
\(758\) | −15.5272 | + | 26.0176i | −0.563974 | + | 0.945003i | ||||
\(759\) | −1.92841 | + | 5.78576i | −0.0699969 | + | 0.210010i | ||||
\(760\) | −9.36013 | − | 42.1711i | −0.339528 | − | 1.52971i | ||||
\(761\) | −22.1520 | − | 38.3684i | −0.803009 | − | 1.39085i | −0.917627 | − | 0.397442i | \(-0.869898\pi\) |
0.114619 | − | 0.993410i | \(-0.463435\pi\) | |||||||
\(762\) | −7.12716 | − | 8.27497i | −0.258190 | − | 0.299770i | ||||
\(763\) | 1.39128 | + | 0.110573i | 0.0503676 | + | 0.00400300i | ||||
\(764\) | −22.9111 | − | 14.1265i | −0.828895 | − | 0.511080i | ||||
\(765\) | −56.5527 | + | 8.08212i | −2.04467 | + | 0.292210i | ||||
\(766\) | 34.5524 | + | 35.5665i | 1.24843 | + | 1.28507i | ||||
\(767\) | 9.60512 | − | 16.6366i | 0.346821 | − | 0.600712i | ||||
\(768\) | −21.2100 | − | 17.8364i | −0.765348 | − | 0.643616i | ||||
\(769\) | 1.96166 | 0.0707392 | 0.0353696 | − | 0.999374i | \(-0.488739\pi\) | ||||
0.0353696 | + | 0.999374i | \(0.488739\pi\) | |||||||
\(770\) | −3.09576 | + | 32.9174i | −0.111563 | + | 1.18626i | ||||
\(771\) | −16.5139 | + | 25.0130i | −0.594735 | + | 0.900820i | ||||
\(772\) | 0.709072 | − | 24.5091i | 0.0255201 | − | 0.882103i | ||||
\(773\) | −13.4150 | − | 50.0655i | −0.482505 | − | 1.80073i | −0.591043 | − | 0.806640i | \(-0.701284\pi\) |
0.108538 | − | 0.994092i | \(-0.465383\pi\) | |||||||
\(774\) | 3.73011 | + | 9.09284i | 0.134076 | + | 0.326835i | ||||
\(775\) | 2.84000 | + | 4.91902i | 0.102016 | + | 0.176697i | ||||
\(776\) | 22.5850 | − | 20.7057i | 0.810756 | − | 0.743292i | ||||
\(777\) | 13.8674 | + | 1.94337i | 0.497489 | + | 0.0697179i | ||||
\(778\) | 14.4833 | + | 25.9452i | 0.519251 | + | 0.930180i | ||||
\(779\) | −14.2059 | + | 53.0171i | −0.508978 | + | 1.89953i | ||||
\(780\) | −4.12497 | + | 46.3058i | −0.147698 | + | 1.65801i | ||||
\(781\) | 1.99741 | + | 7.45444i | 0.0714730 | + | 0.266741i | ||||
\(782\) | −10.4044 | + | 2.62719i | −0.372060 | + | 0.0939482i | ||||
\(783\) | −0.991590 | + | 0.686606i | −0.0354365 | + | 0.0245373i | ||||
\(784\) | −26.6897 | + | 8.46521i | −0.953204 | + | 0.302329i | ||||
\(785\) | 11.4980i | 0.410383i | ||||||||
\(786\) | −9.76862 | + | 4.70931i | −0.348435 | + | 0.167975i | ||||
\(787\) | −39.3287 | + | 10.5381i | −1.40192 | + | 0.375642i | −0.879033 | − | 0.476762i | \(-0.841810\pi\) |
−0.522884 | + | 0.852404i | \(0.675144\pi\) | |||||||
\(788\) | 6.31808 | − | 21.1166i | 0.225072 | − | 0.752249i | ||||
\(789\) | −29.8899 | − | 1.79326i | −1.06411 | − | 0.0638418i | ||||
\(790\) | 25.8794 | − | 14.4466i | 0.920749 | − | 0.513987i | ||||
\(791\) | −17.1473 | − | 6.08703i | −0.609688 | − | 0.216430i | ||||
\(792\) | 10.1060 | + | 26.8190i | 0.359101 | + | 0.952973i | ||||
\(793\) | 23.4638 | − | 13.5468i | 0.833222 | − | 0.481061i | ||||
\(794\) | 35.7654 | + | 0.517255i | 1.26927 | + | 0.0183567i | ||||
\(795\) | 11.2679 | + | 22.5343i | 0.399631 | + | 0.799208i | ||||
\(796\) | 0.170717 | − | 5.90083i | 0.00605089 | − | 0.209149i | ||||
\(797\) | 36.7521 | + | 36.7521i | 1.30183 | + | 1.30183i | 0.927160 | + | 0.374666i | \(0.122242\pi\) |
0.374666 | + | 0.927160i | \(0.377758\pi\) | |||||||
\(798\) | −37.6123 | + | 4.08200i | −1.33146 | + | 0.144501i | ||||
\(799\) | − | 41.0740i | − | 1.45309i | ||||||
\(800\) | −7.89094 | + | 6.82501i | −0.278987 | + | 0.241301i | ||||
\(801\) | −18.1244 | − | 2.18263i | −0.640396 | − | 0.0771194i | ||||
\(802\) | −2.19874 | + | 2.13604i | −0.0776400 | + | 0.0754263i | ||||
\(803\) | −35.1421 | − | 9.41630i | −1.24014 | − | 0.332294i | ||||
\(804\) | 9.38791 | − | 25.6668i | 0.331086 | − | 0.905198i | ||||
\(805\) | −0.571672 | + | 7.19304i | −0.0201488 | + | 0.253521i | ||||
\(806\) | 19.5084 | − | 10.8901i | 0.687153 | − | 0.383587i | ||||
\(807\) | −29.2257 | + | 25.9173i | −1.02879 | + | 0.912333i | ||||
\(808\) | −35.7893 | − | 22.7878i | −1.25906 | − | 0.801672i | ||||
\(809\) | −15.1841 | + | 26.2996i | −0.533843 | + | 0.924643i | 0.465375 | + | 0.885113i | \(0.345919\pi\) |
−0.999218 | + | 0.0395298i | \(0.987414\pi\) | |||||||
\(810\) | 8.86381 | + | 32.0969i | 0.311442 | + | 1.12777i | ||||
\(811\) | 14.9312 | − | 14.9312i | 0.524304 | − | 0.524304i | −0.394564 | − | 0.918868i | \(-0.629104\pi\) |
0.918868 | + | 0.394564i | \(0.129104\pi\) | |||||||
\(812\) | −0.725422 | + | 0.991120i | −0.0254573 | + | 0.0347815i | ||||
\(813\) | 1.09851 | − | 1.66387i | 0.0385264 | − | 0.0583544i | ||||
\(814\) | −3.57343 | − | 14.1517i | −0.125249 | − | 0.496018i | ||||
\(815\) | 19.6307 | − | 34.0014i | 0.687634 | − | 1.19102i | ||||
\(816\) | −30.1711 | + | 40.4074i | −1.05620 | + | 1.41454i | ||||
\(817\) | 6.76169 | + | 11.7116i | 0.236562 | + | 0.409737i | ||||
\(818\) | −31.5445 | − | 8.94320i | −1.10293 | − | 0.312692i | ||||
\(819\) | 39.9113 | + | 8.05538i | 1.39461 | + | 0.281478i | ||||
\(820\) | 47.8668 | − | 11.3530i | 1.67158 | − | 0.396465i | ||||
\(821\) | −7.78694 | − | 2.08650i | −0.271766 | − | 0.0728195i | 0.120362 | − | 0.992730i | \(-0.461594\pi\) |
−0.392128 | + | 0.919911i | \(0.628261\pi\) | |||||||
\(822\) | −10.1861 | − | 53.7131i | −0.355282 | − | 1.87346i | ||||
\(823\) | 23.1086 | − | 40.0253i | 0.805515 | − | 1.39519i | −0.110428 | − | 0.993884i | \(-0.535222\pi\) |
0.915943 | − | 0.401309i | \(-0.131445\pi\) | |||||||
\(824\) | −41.9939 | − | 13.2291i | −1.46293 | − | 0.460859i | ||||
\(825\) | 10.5705 | − | 2.16339i | 0.368016 | − | 0.0753195i | ||||
\(826\) | −2.34336 | − | 13.8147i | −0.0815361 | − | 0.480675i | ||||
\(827\) | −2.26431 | − | 2.26431i | −0.0787379 | − | 0.0787379i | 0.666641 | − | 0.745379i | \(-0.267731\pi\) |
−0.745379 | + | 0.666641i | \(0.767731\pi\) | |||||||
\(828\) | 2.28998 | + | 5.82058i | 0.0795824 | + | 0.202279i | ||||
\(829\) | 1.68025 | + | 6.27079i | 0.0583576 | + | 0.217794i | 0.988947 | − | 0.148272i | \(-0.0473712\pi\) |
−0.930589 | + | 0.366066i | \(0.880704\pi\) | |||||||
\(830\) | 15.7021 | − | 15.2544i | 0.545026 | − | 0.529486i | ||||
\(831\) | −18.0402 | + | 15.9980i | −0.625806 | + | 0.554965i | ||||
\(832\) | 26.3943 | + | 31.4238i | 0.915059 | + | 1.08942i | ||||
\(833\) | 18.1861 | + | 47.5952i | 0.630112 | + | 1.64908i | ||||
\(834\) | −2.46215 | + | 33.0389i | −0.0852572 | + | 1.14404i | ||||
\(835\) | 7.19559 | − | 26.8543i | 0.249014 | − | 0.929332i | ||||
\(836\) | 18.7218 | + | 34.7080i | 0.647508 | + | 1.20040i | ||||
\(837\) | 10.3505 | − | 12.2048i | 0.357764 | − | 0.421859i | ||||
\(838\) | 8.25141 | − | 13.8262i | 0.285040 | − | 0.477618i | ||||
\(839\) | 5.18575i | 0.179032i | 0.995985 | + | 0.0895160i | \(0.0285320\pi\) | ||||
−0.995985 | + | 0.0895160i | \(0.971468\pi\) | |||||||
\(840\) | 19.2244 | + | 27.9332i | 0.663306 | + | 0.963789i | ||||
\(841\) | − | 28.9461i | − | 0.998142i | ||||||
\(842\) | −1.50010 | − | 0.895253i | −0.0516968 | − | 0.0308524i | ||||
\(843\) | 48.0023 | − | 24.0028i | 1.65329 | − | 0.826701i | ||||
\(844\) | 32.2469 | + | 9.64824i | 1.10998 | + | 0.332106i | ||||
\(845\) | 9.01528 | − | 33.6455i | 0.310135 | − | 1.15744i | ||||
\(846\) | −23.7469 | + | 3.04401i | −0.816434 | + | 0.104655i | ||||
\(847\) | −0.196004 | − | 1.06210i | −0.00673476 | − | 0.0364942i | ||||
\(848\) | 21.1137 | + | 6.98853i | 0.725047 | + | 0.239987i | ||||
\(849\) | −10.4781 | − | 11.8156i | −0.359608 | − | 0.405511i | ||||
\(850\) | 13.2288 | + | 13.6170i | 0.453744 | + | 0.467061i | ||||
\(851\) | −0.824461 | − | 3.07693i | −0.0282621 | − | 0.105476i | ||||
\(852\) | 6.47644 | + | 4.55012i | 0.221879 | + | 0.155885i | ||||
\(853\) | 40.1345 | + | 40.1345i | 1.37418 | + | 1.37418i | 0.854147 | + | 0.520032i | \(0.174080\pi\) |
0.520032 | + | 0.854147i | \(0.325920\pi\) | |||||||
\(854\) | 6.87970 | − | 18.5260i | 0.235419 | − | 0.633948i | ||||
\(855\) | 18.0005 | + | 42.1337i | 0.615603 | + | 1.44094i | ||||
\(856\) | 13.2410 | + | 25.4202i | 0.452567 | + | 0.868845i | ||||
\(857\) | −11.6264 | + | 20.1374i | −0.397149 | + | 0.687882i | −0.993373 | − | 0.114936i | \(-0.963334\pi\) |
0.596224 | + | 0.802818i | \(0.296667\pi\) | |||||||
\(858\) | −7.90747 | − | 41.6973i | −0.269956 | − | 1.42352i | ||||
\(859\) | 29.1525 | + | 7.81139i | 0.994671 | + | 0.266521i | 0.719211 | − | 0.694791i | \(-0.244503\pi\) |
0.275459 | + | 0.961313i | \(0.411170\pi\) | |||||||
\(860\) | 6.36144 | − | 10.3173i | 0.216923 | − | 0.351817i | ||||
\(861\) | −5.26766 | − | 42.7625i | −0.179522 | − | 1.45734i | ||||
\(862\) | −8.08902 | + | 28.5317i | −0.275513 | + | 0.971792i | ||||
\(863\) | 7.03655 | + | 12.1877i | 0.239527 | + | 0.414873i | 0.960579 | − | 0.278009i | \(-0.0896743\pi\) |
−0.721052 | + | 0.692881i | \(0.756341\pi\) | |||||||
\(864\) | 25.5975 | + | 14.4488i | 0.870845 | + | 0.491558i | ||||
\(865\) | −1.71258 | + | 2.96628i | −0.0582296 | + | 0.100857i | ||||
\(866\) | 22.6226 | − | 5.71239i | 0.768748 | − | 0.194115i | ||||
\(867\) | 52.0076 | + | 34.3362i | 1.76627 | + | 1.16612i | ||||
\(868\) | 5.89352 | − | 15.1934i | 0.200039 | − | 0.515699i | ||||
\(869\) | −19.1325 | + | 19.1325i | −0.649027 | + | 0.649027i | ||||
\(870\) | 1.40418 | + | 0.490691i | 0.0476062 | + | 0.0166360i | ||||
\(871\) | −20.2354 | + | 35.0487i | −0.685650 | + | 1.18758i | ||||
\(872\) | −1.25856 | − | 0.801352i | −0.0426203 | − | 0.0271372i | ||||
\(873\) | −19.4978 | + | 26.0000i | −0.659899 | + | 0.879966i | ||||
\(874\) | 4.19504 | + | 7.51493i | 0.141899 | + | 0.254196i | ||||
\(875\) | −19.7222 | + | 9.38839i | −0.666732 | + | 0.317386i | ||||
\(876\) | −33.8424 | + | 15.7159i | −1.14343 | + | 0.530991i | ||||
\(877\) | −12.8938 | − | 3.45489i | −0.435393 | − | 0.116663i | 0.0344635 | − | 0.999406i | \(-0.489028\pi\) |
−0.469857 | + | 0.882743i | \(0.655694\pi\) | |||||||
\(878\) | 5.07825 | + | 5.22730i | 0.171383 | + | 0.176413i | ||||
\(879\) | 0.242160 | − | 0.726546i | 0.00816785 | − | 0.0245058i | ||||
\(880\) | 19.4129 | − | 29.5372i | 0.654407 | − | 0.995697i | ||||
\(881\) | − | 8.31543i | − | 0.280154i | −0.990141 | − | 0.140077i | \(-0.955265\pi\) | ||
0.990141 | − | 0.140077i | \(-0.0447350\pi\) | |||||||
\(882\) | 26.1693 | − | 14.0416i | 0.881167 | − | 0.472805i | ||||
\(883\) | −15.0386 | − | 15.0386i | −0.506088 | − | 0.506088i | 0.407235 | − | 0.913323i | \(-0.366493\pi\) |
−0.913323 | + | 0.407235i | \(0.866493\pi\) | |||||||
\(884\) | 54.3091 | − | 51.2551i | 1.82661 | − | 1.72389i | ||||
\(885\) | −15.1776 | + | 7.58930i | −0.510188 | + | 0.255111i | ||||
\(886\) | −0.196192 | + | 13.5656i | −0.00659120 | + | 0.455746i | ||||
\(887\) | 3.51087 | − | 2.02700i | 0.117884 | − | 0.0680601i | −0.439899 | − | 0.898047i | \(-0.644986\pi\) |
0.557782 | + | 0.829987i | \(0.311652\pi\) | |||||||
\(888\) | −12.1232 | − | 8.78187i | −0.406827 | − | 0.294700i | ||||
\(889\) | 11.1165 | + | 3.94620i | 0.372837 | + | 0.132351i | ||||
\(890\) | 10.9738 | + | 19.6583i | 0.367842 | + | 0.658948i | ||||
\(891\) | −15.7774 | − | 25.9835i | −0.528562 | − | 0.870478i | ||||
\(892\) | −7.05347 | − | 13.0763i | −0.236168 | − | 0.437827i | ||||
\(893\) | −31.8201 | + | 8.52616i | −1.06482 | + | 0.285317i | ||||
\(894\) | −9.93683 | + | 4.79040i | −0.332337 | + | 0.160215i | ||||
\(895\) | − | 28.4522i | − | 0.951051i | ||||||
\(896\) | 29.4468 | + | 5.37481i | 0.983747 | + | 0.179560i | ||||
\(897\) | −1.85717 | − | 9.07428i | −0.0620092 | − | 0.302981i | ||||
\(898\) | 0.242781 | + | 0.961478i | 0.00810171 | + | 0.0320849i | ||||
\(899\) | −0.185017 | − | 0.690493i | −0.00617066 | − | 0.0230292i | ||||
\(900\) | 6.89229 | − | 8.65737i | 0.229743 | − | 0.288579i | ||||
\(901\) | 10.4745 | − | 39.0913i | 0.348956 | − | 1.30232i | ||||
\(902\) | −39.2143 | + | 21.8905i | −1.30569 | + | 0.728873i | ||||
\(903\) | −8.36783 | − | 6.53236i | −0.278464 | − | 0.217383i | ||||
\(904\) | 13.1451 | + | 14.3382i | 0.437201 | + | 0.476883i | ||||
\(905\) | −10.6155 | − | 18.3865i | −0.352870 | − | 0.611188i | ||||
\(906\) | 4.41177 | + | 23.2640i | 0.146571 | + | 0.772894i | ||||
\(907\) | 13.1137 | + | 48.9410i | 0.435433 | + | 1.62506i | 0.740027 | + | 0.672577i | \(0.234813\pi\) |
−0.304594 | + | 0.952482i | \(0.598521\pi\) | |||||||
\(908\) | 7.76482 | + | 8.22749i | 0.257685 | + | 0.273039i | ||||
\(909\) | 41.7642 | + | 16.7610i | 1.38523 | + | 0.555927i | ||||
\(910\) | −20.9249 | − | 45.6464i | −0.693654 | − | 1.51316i | ||||
\(911\) | −45.2661 | −1.49973 | −0.749866 | − | 0.661590i | \(-0.769882\pi\) | ||||
−0.749866 | + | 0.661590i | \(0.769882\pi\) | |||||||
\(912\) | 37.5666 | + | 14.9858i | 1.24395 | + | 0.496230i | ||||
\(913\) | −9.99263 | + | 17.3077i | −0.330708 | + | 0.572803i | ||||
\(914\) | −0.421648 | + | 0.409626i | −0.0139469 | + | 0.0135492i | ||||
\(915\) | −23.8900 | − | 1.43330i | −0.789780 | − | 0.0473833i | ||||
\(916\) | 0.864376 | + | 3.64439i | 0.0285598 | + | 0.120414i | ||||
\(917\) | 6.64197 | − | 9.64822i | 0.219337 | − | 0.318612i | ||||
\(918\) | 23.5554 | − | 48.0217i | 0.777445 | − | 1.58495i | ||||
\(919\) | −24.2461 | − | 41.9954i | −0.799804 | − | 1.38530i | −0.919744 | − | 0.392519i | \(-0.871604\pi\) |
0.119940 | − | 0.992781i | \(-0.461730\pi\) | |||||||
\(920\) | 4.14307 | − | 6.50690i | 0.136593 | − | 0.214526i | ||||
\(921\) | −12.0497 | − | 4.01620i | −0.397051 | − | 0.132338i | ||||
\(922\) | 22.6800 | + | 13.5353i | 0.746924 | + | 0.445761i | ||||
\(923\) | −8.28788 | − | 8.28788i | −0.272799 | − | 0.272799i | ||||
\(924\) | −23.8403 | − | 19.7467i | −0.784288 | − | 0.649618i | ||||
\(925\) | −3.98499 | + | 3.98499i | −0.131026 | + | 0.131026i | ||||
\(926\) | 8.40521 | + | 33.2869i | 0.276212 | + | 1.09387i | ||||
\(927\) | 46.3642 | + | 5.58340i | 1.52280 | + | 0.183383i | ||||
\(928\) | 1.18158 | − | 0.572652i | 0.0387873 | − | 0.0187982i | ||||
\(929\) | −27.0597 | + | 15.6230i | −0.887801 | + | 0.512572i | −0.873223 | − | 0.487321i | \(-0.837974\pi\) |
−0.0145787 | + | 0.999894i | \(0.504641\pi\) | |||||||
\(930\) | −19.6812 | − | 1.46670i | −0.645372 | − | 0.0480949i | ||||
\(931\) | 33.0970 | − | 23.9686i | 1.08471 | − | 0.785541i | ||||
\(932\) | −9.67576 | − | 5.96588i | −0.316940 | − | 0.195419i | ||||
\(933\) | 47.2719 | + | 2.83611i | 1.54761 | + | 0.0928500i | ||||
\(934\) | −22.9941 | − | 0.332551i | −0.752390 | − | 0.0108814i | ||||
\(935\) | −55.7009 | − | 32.1589i | −1.82161 | − | 1.05171i | ||||
\(936\) | −33.6579 | − | 27.6002i | −1.10014 | − | 0.902142i | ||||
\(937\) | 27.8911i | 0.911163i | 0.890194 | + | 0.455581i | \(0.150569\pi\) | ||||
−0.890194 | + | 0.455581i | \(0.849431\pi\) | |||||||
\(938\) | 4.93683 | + | 29.1038i | 0.161193 | + | 0.950273i | ||||
\(939\) | 6.20459 | − | 9.39783i | 0.202479 | − | 0.306687i | ||||
\(940\) | 20.2655 | + | 21.4731i | 0.660988 | + | 0.700374i | ||||
\(941\) | −18.9423 | + | 5.07558i | −0.617503 | + | 0.165459i | −0.553992 | − | 0.832522i | \(-0.686896\pi\) |
−0.0635104 | + | 0.997981i | \(0.520230\pi\) | |||||||
\(942\) | −8.89739 | − | 6.06074i | −0.289893 | − | 0.197469i | ||||
\(943\) | −8.48830 | + | 4.90072i | −0.276417 | + | 0.159589i | ||||
\(944\) | −4.70700 | + | 14.2207i | −0.153200 | + | 0.462846i | ||||
\(945\) | −25.5011 | − | 25.3628i | −0.829550 | − | 0.825051i | ||||
\(946\) | −3.01816 | + | 10.6457i | −0.0981288 | + | 0.346121i | ||||
\(947\) | 39.2403 | + | 10.5144i | 1.27514 | + | 0.341672i | 0.831997 | − | 0.554780i | \(-0.187198\pi\) |
0.443140 | + | 0.896452i | \(0.353864\pi\) | |||||||
\(948\) | −2.46229 | + | 27.6409i | −0.0799714 | + | 0.897736i | ||||
\(949\) | 53.3721 | − | 14.3010i | 1.73253 | − | 0.464231i | ||||
\(950\) | 7.80310 | − | 13.0750i | 0.253166 | − | 0.424209i | ||||
\(951\) | −9.16381 | − | 44.7750i | −0.297157 | − | 1.45193i | ||||
\(952\) | 6.66626 | − | 54.0598i | 0.216055 | − | 1.75209i | ||||
\(953\) | 22.3127 | 0.722778 | 0.361389 | − | 0.932415i | \(-0.382303\pi\) | ||||
0.361389 | + | 0.932415i | \(0.382303\pi\) | |||||||
\(954\) | −23.3769 | − | 3.15874i | −0.756854 | − | 0.102268i | ||||
\(955\) | −9.11263 | − | 34.0088i | −0.294878 | − | 1.10050i | ||||
\(956\) | −24.8700 | + | 13.4151i | −0.804352 | + | 0.433875i | ||||
\(957\) | −1.35547 | − | 0.0813224i | −0.0438162 | − | 0.00262878i | ||||
\(958\) | −1.70327 | + | 6.00777i | −0.0550300 | + | 0.194102i | ||||
\(959\) | 38.3159 | + | 44.9321i | 1.23728 | + | 1.45093i | ||||
\(960\) | −4.16349 | − | 36.0107i | −0.134376 | − | 1.16224i | ||||
\(961\) | −10.7576 | − | 18.6327i | −0.347020 | − | 0.601056i | ||||
\(962\) | 15.4465 | + | 15.8999i | 0.498017 | + | 0.512633i | ||||
\(963\) | −18.7722 | − | 23.9124i | −0.604925 | − | 0.770568i | ||||
\(964\) | −1.22563 | + | 42.3641i | −0.0394750 | + | 1.36446i | ||||
\(965\) | 22.6793 | − | 22.6793i | 0.730072 | − | 0.730072i | ||||
\(966\) | −5.26477 | − | 4.23390i | −0.169391 | − | 0.136223i | ||||
\(967\) | 0.0670260 | 0.00215541 | 0.00107771 | − | 0.999999i | \(-0.499657\pi\) | ||||
0.00107771 | + | 0.999999i | \(0.499657\pi\) | |||||||
\(968\) | −0.346922 | + | 1.10125i | −0.0111505 | + | 0.0353956i | ||||
\(969\) | 23.2718 | − | 69.8218i | 0.747598 | − | 2.24300i | ||||
\(970\) | 40.0755 | + | 0.579589i | 1.28675 | + | 0.0186095i | ||||
\(971\) | −3.09803 | + | 11.5620i | −0.0994206 | + | 0.371043i | −0.997653 | − | 0.0684790i | \(-0.978185\pi\) |
0.898232 | + | 0.439522i | \(0.144852\pi\) | |||||||
\(972\) | −29.5094 | − | 10.0596i | −0.946514 | − | 0.322663i | ||||
\(973\) | −15.3810 | − | 32.3109i | −0.493092 | − | 1.03584i | ||||
\(974\) | 15.6898 | − | 55.3413i | 0.502735 | − | 1.77325i | ||||
\(975\) | −12.2603 | + | 10.8724i | −0.392643 | + | 0.348196i | ||||
\(976\) | −15.7775 | + | 14.0502i | −0.505025 | + | 0.449735i | ||||
\(977\) | −25.5256 | − | 14.7372i | −0.816637 | − | 0.471485i | 0.0326185 | − | 0.999468i | \(-0.489615\pi\) |
−0.849255 | + | 0.527982i | \(0.822949\pi\) | |||||||
\(978\) | 15.9633 | + | 33.1131i | 0.510451 | + | 1.05884i | ||||
\(979\) | −14.5333 | − | 14.5333i | −0.464486 | − | 0.464486i | ||||
\(980\) | −32.9905 | − | 15.9094i | −1.05384 | − | 0.508207i | ||||
\(981\) | 1.46867 | + | 0.589414i | 0.0468912 | + | 0.0188185i | ||||
\(982\) | 15.8963 | + | 9.48685i | 0.507272 | + | 0.302738i | ||||
\(983\) | 17.5590 | + | 10.1377i | 0.560045 | + | 0.323342i | 0.753164 | − | 0.657833i | \(-0.228527\pi\) |
−0.193119 | + | 0.981175i | \(0.561860\pi\) | |||||||
\(984\) | −16.4459 | + | 43.0245i | −0.524277 | + | 1.37157i | ||||
\(985\) | 24.9694 | − | 14.4161i | 0.795591 | − | 0.459334i | ||||
\(986\) | −1.16461 | − | 2.08627i | −0.0370888 | − | 0.0664404i | ||||
\(987\) | 20.6461 | − | 15.5707i | 0.657174 | − | 0.495621i | ||||
\(988\) | −50.9809 | − | 31.4338i | −1.62192 | − | 1.00004i | ||||
\(989\) | −0.625028 | + | 2.33264i | −0.0198747 | + | 0.0741735i | ||||
\(990\) | −14.4646 | + | 34.5867i | −0.459716 | + | 1.09924i | ||||
\(991\) | 22.1478 | + | 12.7871i | 0.703549 | + | 0.406194i | 0.808668 | − | 0.588265i | \(-0.200189\pi\) |
−0.105119 | + | 0.994460i | \(0.533522\pi\) | |||||||
\(992\) | −13.1767 | + | 11.3968i | −0.418362 | + | 0.361848i | ||||
\(993\) | −15.3649 | + | 3.14462i | −0.487589 | + | 0.0997916i | ||||
\(994\) | −8.51166 | − | 0.800489i | −0.269973 | − | 0.0253900i | ||||
\(995\) | 5.46028 | − | 5.46028i | 0.173102 | − | 0.173102i | ||||
\(996\) | 3.52738 | + | 20.1913i | 0.111769 | + | 0.639785i | ||||
\(997\) | −7.32386 | + | 1.96242i | −0.231949 | + | 0.0621506i | −0.372921 | − | 0.927863i | \(-0.621644\pi\) |
0.140972 | + | 0.990014i | \(0.454977\pi\) | |||||||
\(998\) | −0.519527 | + | 35.9225i | −0.0164453 | + | 1.13711i | ||||
\(999\) | 14.3548 | + | 6.78553i | 0.454166 | + | 0.214685i |
(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 | 336.2.bu.a.11.5 | ✓ | 240 | |
3.2 | odd | 2 | inner | 336.2.bu.a.11.56 | yes | 240 | |
7.2 | even | 3 | inner | 336.2.bu.a.107.46 | yes | 240 | |
16.3 | odd | 4 | inner | 336.2.bu.a.179.15 | yes | 240 | |
21.2 | odd | 6 | inner | 336.2.bu.a.107.15 | yes | 240 | |
48.35 | even | 4 | inner | 336.2.bu.a.179.46 | yes | 240 | |
112.51 | odd | 12 | inner | 336.2.bu.a.275.56 | yes | 240 | |
336.275 | even | 12 | inner | 336.2.bu.a.275.5 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
336.2.bu.a.11.5 | ✓ | 240 | 1.1 | even | 1 | trivial | |
336.2.bu.a.11.56 | yes | 240 | 3.2 | odd | 2 | inner | |
336.2.bu.a.107.15 | yes | 240 | 21.2 | odd | 6 | inner | |
336.2.bu.a.107.46 | yes | 240 | 7.2 | even | 3 | inner | |
336.2.bu.a.179.15 | yes | 240 | 16.3 | odd | 4 | inner | |
336.2.bu.a.179.46 | yes | 240 | 48.35 | even | 4 | inner | |
336.2.bu.a.275.5 | yes | 240 | 336.275 | even | 12 | inner | |
336.2.bu.a.275.56 | yes | 240 | 112.51 | odd | 12 | inner |