Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [495,2,Mod(91,495)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(495, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 0, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("495.91");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 495 = 3^{2} \cdot 5 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 495.n (of order \(5\), 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: | \(3.95259490005\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{5})\) |
Coefficient field: | 8.0.13140625.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - 3x^{7} + 5x^{6} - 3x^{5} + 4x^{4} + 3x^{3} + 5x^{2} + 3x + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 165) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 136.1 | ||
Root | \(0.418926 + 1.28932i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 495.136 |
Dual form | 495.2.n.a.91.1 |
$q$-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 \(\left(\mathbb{Z}/495\mathbb{Z}\right)^\times\).
\(n\) | \(46\) | \(56\) | \(397\) |
\(\chi(n)\) | \(e\left(\frac{1}{5}\right)\) | \(1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.90578 | − | 1.38463i | −1.34759 | − | 0.979082i | −0.999128 | − | 0.0417590i | \(-0.986704\pi\) |
−0.348463 | − | 0.937323i | \(-0.613296\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 1.09676 | + | 3.37549i | 0.548382 | + | 1.68775i | ||||
\(5\) | 0.809017 | − | 0.587785i | 0.361803 | − | 0.262866i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.0598032 | + | 0.184055i | 0.0226035 | + | 0.0695663i | 0.961722 | − | 0.274027i | \(-0.0883558\pi\) |
−0.939119 | + | 0.343593i | \(0.888356\pi\) | |||||||
\(8\) | 1.12773 | − | 3.47080i | 0.398713 | − | 1.22711i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −2.35567 | −0.744930 | ||||||||
\(11\) | 1.96213 | + | 2.67395i | 0.591606 | + | 0.806227i | ||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −0.787747 | − | 0.572331i | −0.218482 | − | 0.158736i | 0.473161 | − | 0.880976i | \(-0.343113\pi\) |
−0.691643 | + | 0.722240i | \(0.743113\pi\) | |||||||
\(14\) | 0.140877 | − | 0.433574i | 0.0376509 | − | 0.115878i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −1.21225 | + | 0.880754i | −0.303063 | + | 0.220188i | ||||
\(17\) | −2.16469 | + | 1.57274i | −0.525015 | + | 0.381446i | −0.818490 | − | 0.574521i | \(-0.805188\pi\) |
0.293475 | + | 0.955967i | \(0.405188\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −1.71480 | + | 5.27760i | −0.393402 | + | 1.21077i | 0.536798 | + | 0.843711i | \(0.319634\pi\) |
−0.930199 | + | 0.367055i | \(0.880366\pi\) | |||||||
\(20\) | 2.87136 | + | 2.08617i | 0.642057 | + | 0.466481i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −0.0369604 | − | 7.81280i | −0.00787998 | − | 1.66569i | ||||
\(23\) | 4.80040 | 1.00095 | 0.500476 | − | 0.865750i | \(-0.333158\pi\) | ||||
0.500476 | + | 0.865750i | \(0.333158\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 0.309017 | − | 0.951057i | 0.0618034 | − | 0.190211i | ||||
\(26\) | 0.708805 | + | 2.18148i | 0.139008 | + | 0.427823i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −0.555687 | + | 0.403730i | −0.105015 | + | 0.0762978i | ||||
\(29\) | 3.12657 | + | 9.62260i | 0.580590 | + | 1.78687i | 0.616303 | + | 0.787509i | \(0.288630\pi\) |
−0.0357132 | + | 0.999362i | \(0.511370\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 2.02685 | + | 1.47259i | 0.364033 | + | 0.264486i | 0.754732 | − | 0.656033i | \(-0.227767\pi\) |
−0.390699 | + | 0.920518i | \(0.627767\pi\) | |||||||
\(32\) | −3.76902 | −0.666275 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 6.30309 | 1.08097 | ||||||||
\(35\) | 0.156567 | + | 0.113752i | 0.0264646 | + | 0.0192277i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 1.76516 | + | 5.43260i | 0.290190 | + | 0.893114i | 0.984795 | + | 0.173722i | \(0.0555794\pi\) |
−0.694604 | + | 0.719392i | \(0.744421\pi\) | |||||||
\(38\) | 10.5756 | − | 7.68359i | 1.71558 | − | 1.24644i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −1.12773 | − | 3.47080i | −0.178310 | − | 0.548781i | ||||
\(41\) | 2.55823 | − | 7.87342i | 0.399529 | − | 1.22962i | −0.525850 | − | 0.850577i | \(-0.676253\pi\) |
0.925378 | − | 0.379045i | \(-0.123747\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 5.11353 | 0.779807 | 0.389903 | − | 0.920856i | \(-0.372508\pi\) | ||||
0.389903 | + | 0.920856i | \(0.372508\pi\) | |||||||
\(44\) | −6.87391 | + | 9.55586i | −1.03628 | + | 1.44060i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −9.14851 | − | 6.64678i | −1.34887 | − | 0.980014i | ||||
\(47\) | 3.35354 | − | 10.3211i | 0.489164 | − | 1.50549i | −0.336693 | − | 0.941614i | \(-0.609308\pi\) |
0.825857 | − | 0.563879i | \(-0.190692\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 5.63282 | − | 4.09248i | 0.804688 | − | 0.584640i | ||||
\(50\) | −1.90578 | + | 1.38463i | −0.269518 | + | 0.195816i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 1.06793 | − | 3.28674i | 0.148095 | − | 0.455789i | ||||
\(53\) | −7.51479 | − | 5.45981i | −1.03224 | − | 0.749963i | −0.0634803 | − | 0.997983i | \(-0.520220\pi\) |
−0.968755 | + | 0.248020i | \(0.920220\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 3.15911 | + | 1.00996i | 0.425974 | + | 0.136183i | ||||
\(56\) | 0.706260 | 0.0943780 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 7.36518 | − | 22.6677i | 0.967096 | − | 2.97642i | ||||
\(59\) | 3.46656 | + | 10.6690i | 0.451307 | + | 1.38898i | 0.875416 | + | 0.483369i | \(0.160587\pi\) |
−0.424109 | + | 0.905611i | \(0.639413\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −0.975693 | + | 0.708883i | −0.124925 | + | 0.0907631i | −0.648493 | − | 0.761221i | \(-0.724600\pi\) |
0.523568 | + | 0.851984i | \(0.324600\pi\) | |||||||
\(62\) | −1.82374 | − | 5.61288i | −0.231615 | − | 0.712836i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 9.60743 | + | 6.98021i | 1.20093 | + | 0.872526i | ||||
\(65\) | −0.973708 | −0.120774 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 3.25922 | 0.398176 | 0.199088 | − | 0.979982i | \(-0.436202\pi\) | ||||
0.199088 | + | 0.979982i | \(0.436202\pi\) | |||||||
\(68\) | −7.68293 | − | 5.58197i | −0.931692 | − | 0.676914i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −0.140877 | − | 0.433574i | −0.0168380 | − | 0.0518220i | ||||
\(71\) | 4.84664 | − | 3.52129i | 0.575191 | − | 0.417901i | −0.261796 | − | 0.965123i | \(-0.584315\pi\) |
0.836987 | + | 0.547222i | \(0.184315\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 1.02168 | + | 3.14442i | 0.119579 | + | 0.368026i | 0.992875 | − | 0.119165i | \(-0.0380216\pi\) |
−0.873296 | + | 0.487191i | \(0.838022\pi\) | |||||||
\(74\) | 4.15814 | − | 12.7974i | 0.483374 | − | 1.48767i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −19.6952 | −2.25920 | ||||||||
\(77\) | −0.374813 | + | 0.521052i | −0.0427139 | + | 0.0593794i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −8.21389 | − | 5.96774i | −0.924135 | − | 0.671423i | 0.0204147 | − | 0.999792i | \(-0.493501\pi\) |
−0.944550 | + | 0.328368i | \(0.893501\pi\) | |||||||
\(80\) | −0.463040 | + | 1.42509i | −0.0517694 | + | 0.159330i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −15.7772 | + | 11.4628i | −1.74230 | + | 1.26586i | ||||
\(83\) | 6.72704 | − | 4.88748i | 0.738388 | − | 0.536471i | −0.153818 | − | 0.988099i | \(-0.549157\pi\) |
0.892206 | + | 0.451629i | \(0.149157\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −0.826838 | + | 2.54475i | −0.0896832 | + | 0.276017i | ||||
\(86\) | −9.74527 | − | 7.08035i | −1.05086 | − | 0.763494i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 11.4935 | − | 3.79468i | 1.22521 | − | 0.404514i | ||||
\(89\) | −7.34270 | −0.778325 | −0.389163 | − | 0.921169i | \(-0.627236\pi\) | ||||
−0.389163 | + | 0.921169i | \(0.627236\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0.0582308 | − | 0.179216i | 0.00610425 | − | 0.0187869i | ||||
\(92\) | 5.26490 | + | 16.2037i | 0.548904 | + | 1.68935i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −20.6821 | + | 15.0264i | −2.13319 | + | 1.54986i | ||||
\(95\) | 1.71480 | + | 5.27760i | 0.175935 | + | 0.541471i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 12.8248 | + | 9.31774i | 1.30216 | + | 0.946074i | 0.999974 | − | 0.00717602i | \(-0.00228422\pi\) |
0.302184 | + | 0.953250i | \(0.402284\pi\) | |||||||
\(98\) | −16.4015 | −1.65680 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 3.54920 | 0.354920 | ||||||||
\(101\) | 10.6460 | + | 7.73475i | 1.05931 | + | 0.769636i | 0.973961 | − | 0.226715i | \(-0.0727985\pi\) |
0.0853519 | + | 0.996351i | \(0.472799\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 1.23525 | + | 3.80172i | 0.121713 | + | 0.374595i | 0.993288 | − | 0.115668i | \(-0.0369009\pi\) |
−0.871575 | + | 0.490263i | \(0.836901\pi\) | |||||||
\(104\) | −2.87481 | + | 2.08867i | −0.281899 | + | 0.204811i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 6.76171 | + | 20.8104i | 0.656755 | + | 2.02129i | ||||
\(107\) | −1.51011 | + | 4.64764i | −0.145988 | + | 0.449304i | −0.997137 | − | 0.0756201i | \(-0.975906\pi\) |
0.851149 | + | 0.524924i | \(0.175906\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −7.51977 | −0.720263 | −0.360131 | − | 0.932902i | \(-0.617268\pi\) | ||||
−0.360131 | + | 0.932902i | \(0.617268\pi\) | |||||||
\(110\) | −4.62215 | − | 6.29896i | −0.440705 | − | 0.600583i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −0.234604 | − | 0.170450i | −0.0221680 | − | 0.0161060i | ||||
\(113\) | −6.24947 | + | 19.2339i | −0.587901 | + | 1.80937i | −0.000604375 | 1.00000i | \(0.500192\pi\) | |
−0.587296 | + | 0.809372i | \(0.699808\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 3.88361 | − | 2.82160i | 0.362148 | − | 0.263116i | ||||
\(116\) | −29.0519 | + | 21.1074i | −2.69740 | + | 1.95978i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 8.16608 | − | 25.1326i | 0.751748 | − | 2.31364i | ||||
\(119\) | −0.418926 | − | 0.304368i | −0.0384029 | − | 0.0279014i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −3.30005 | + | 10.4933i | −0.300005 | + | 0.953938i | ||||
\(122\) | 2.84100 | 0.257212 | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −2.74775 | + | 8.45670i | −0.246755 | + | 0.759434i | ||||
\(125\) | −0.309017 | − | 0.951057i | −0.0276393 | − | 0.0850651i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −5.74419 | + | 4.17340i | −0.509715 | + | 0.370329i | −0.812715 | − | 0.582661i | \(-0.802012\pi\) |
0.303001 | + | 0.952990i | \(0.402012\pi\) | |||||||
\(128\) | −6.31526 | − | 19.4364i | −0.558196 | − | 1.71795i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 1.85567 | + | 1.34823i | 0.162753 | + | 0.118247i | ||||
\(131\) | 2.50024 | 0.218447 | 0.109223 | − | 0.994017i | \(-0.465164\pi\) | ||||
0.109223 | + | 0.994017i | \(0.465164\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −1.07392 | −0.0931207 | ||||||||
\(134\) | −6.21135 | − | 4.51281i | −0.536579 | − | 0.389847i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 3.01748 | + | 9.28684i | 0.258746 | + | 0.796340i | ||||
\(137\) | −12.3734 | + | 8.98981i | −1.05713 | + | 0.768052i | −0.973556 | − | 0.228450i | \(-0.926634\pi\) |
−0.0835766 | + | 0.996501i | \(0.526634\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −6.07484 | − | 18.6964i | −0.515261 | − | 1.58581i | −0.782806 | − | 0.622266i | \(-0.786212\pi\) |
0.267544 | − | 0.963546i | \(-0.413788\pi\) | |||||||
\(140\) | −0.212253 | + | 0.653249i | −0.0179387 | + | 0.0552096i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −14.1123 | −1.18428 | ||||||||
\(143\) | −0.0152774 | − | 3.22939i | −0.00127756 | − | 0.270055i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 8.18547 | + | 5.94709i | 0.679766 | + | 0.493879i | ||||
\(146\) | 2.40675 | − | 7.40722i | 0.199184 | − | 0.613026i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −16.4017 | + | 11.9166i | −1.34821 | + | 0.979535i | ||||
\(149\) | −8.19771 | + | 5.95599i | −0.671583 | + | 0.487933i | −0.870555 | − | 0.492072i | \(-0.836240\pi\) |
0.198972 | + | 0.980005i | \(0.436240\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 3.69682 | − | 11.3776i | 0.300843 | − | 0.925899i | −0.680353 | − | 0.732884i | \(-0.738174\pi\) |
0.981196 | − | 0.193015i | \(-0.0618264\pi\) | |||||||
\(152\) | 16.3837 | + | 11.9034i | 1.32889 | + | 0.965496i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 1.43578 | − | 0.474033i | 0.115698 | − | 0.0381987i | ||||
\(155\) | 2.50533 | 0.201233 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −0.811494 | + | 2.49752i | −0.0647643 | + | 0.199324i | −0.978202 | − | 0.207654i | \(-0.933417\pi\) |
0.913438 | + | 0.406978i | \(0.133417\pi\) | |||||||
\(158\) | 7.39076 | + | 22.7464i | 0.587977 | + | 1.80961i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −3.04920 | + | 2.21537i | −0.241061 | + | 0.175141i | ||||
\(161\) | 0.287079 | + | 0.883539i | 0.0226250 | + | 0.0696326i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −19.1927 | − | 13.9443i | −1.50329 | − | 1.09220i | −0.969049 | − | 0.246868i | \(-0.920598\pi\) |
−0.534238 | − | 0.845334i | \(-0.679402\pi\) | |||||||
\(164\) | 29.3825 | 2.29438 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −19.5876 | −1.52029 | ||||||||
\(167\) | 2.82488 | + | 2.05240i | 0.218596 | + | 0.158819i | 0.691694 | − | 0.722190i | \(-0.256865\pi\) |
−0.473098 | + | 0.881010i | \(0.656865\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −3.72424 | − | 11.4620i | −0.286480 | − | 0.881695i | ||||
\(170\) | 5.09931 | − | 3.70486i | 0.391099 | − | 0.284150i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 5.60834 | + | 17.2607i | 0.427632 | + | 1.31612i | ||||
\(173\) | 6.29145 | − | 19.3631i | 0.478330 | − | 1.47215i | −0.363083 | − | 0.931757i | \(-0.618276\pi\) |
0.841413 | − | 0.540392i | \(-0.181724\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0.193527 | 0.0146293 | ||||||||
\(176\) | −4.73370 | − | 1.51335i | −0.356816 | − | 0.114073i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 13.9936 | + | 10.1669i | 1.04886 | + | 0.762044i | ||||
\(179\) | −1.19008 | + | 3.66268i | −0.0889506 | + | 0.273762i | −0.985630 | − | 0.168919i | \(-0.945972\pi\) |
0.896679 | + | 0.442681i | \(0.145972\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 14.2509 | − | 10.3539i | 1.05926 | − | 0.769599i | 0.0853107 | − | 0.996354i | \(-0.472812\pi\) |
0.973952 | + | 0.226755i | \(0.0728117\pi\) | |||||||
\(182\) | −0.359123 | + | 0.260918i | −0.0266200 | + | 0.0193406i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 5.41356 | − | 16.6612i | 0.399093 | − | 1.22828i | ||||
\(185\) | 4.62125 | + | 3.35753i | 0.339761 | + | 0.246851i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −8.45285 | − | 2.70236i | −0.618134 | − | 0.197616i | ||||
\(188\) | 38.5170 | 2.80914 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 4.03950 | − | 12.4323i | 0.293056 | − | 0.901935i | ||||
\(191\) | −0.128891 | − | 0.396685i | −0.00932620 | − | 0.0287031i | 0.946285 | − | 0.323333i | \(-0.104804\pi\) |
−0.955611 | + | 0.294630i | \(0.904804\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −9.46269 | + | 6.87505i | −0.681140 | + | 0.494877i | −0.873736 | − | 0.486401i | \(-0.838309\pi\) |
0.192596 | + | 0.981278i | \(0.438309\pi\) | |||||||
\(194\) | −11.5396 | − | 35.5151i | −0.828493 | − | 2.54984i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 19.9920 | + | 14.5250i | 1.42800 | + | 1.03750i | ||||
\(197\) | −21.5958 | −1.53864 | −0.769320 | − | 0.638863i | \(-0.779405\pi\) | ||||
−0.769320 | + | 0.638863i | \(0.779405\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 7.76028 | 0.550111 | 0.275056 | − | 0.961428i | \(-0.411304\pi\) | ||||
0.275056 | + | 0.961428i | \(0.411304\pi\) | |||||||
\(200\) | −2.95244 | − | 2.14507i | −0.208769 | − | 0.151679i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −9.57911 | − | 29.4815i | −0.673984 | − | 2.07431i | ||||
\(203\) | −1.58411 | + | 1.15092i | −0.111183 | + | 0.0807790i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −2.55823 | − | 7.87342i | −0.178675 | − | 0.549904i | ||||
\(206\) | 2.90986 | − | 8.95561i | 0.202739 | − | 0.623967i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 1.45903 | 0.101166 | ||||||||
\(209\) | −17.4767 | + | 5.77008i | −1.20889 | + | 0.399125i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 10.1173 | + | 7.35065i | 0.696504 | + | 0.506040i | 0.878792 | − | 0.477205i | \(-0.158350\pi\) |
−0.182288 | + | 0.983245i | \(0.558350\pi\) | |||||||
\(212\) | 10.1876 | − | 31.3542i | 0.699687 | − | 2.15342i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 9.31320 | − | 6.76644i | 0.636637 | − | 0.462544i | ||||
\(215\) | 4.13694 | − | 3.00566i | 0.282137 | − | 0.204984i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −0.149826 | + | 0.461118i | −0.0101709 | + | 0.0313027i | ||||
\(218\) | 14.3310 | + | 10.4121i | 0.970619 | + | 0.705196i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 0.0556868 | + | 11.7712i | 0.00375440 | + | 0.793617i | ||||
\(221\) | 2.60536 | 0.175255 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −1.66118 | + | 5.11257i | −0.111241 | + | 0.342363i | −0.991144 | − | 0.132789i | \(-0.957607\pi\) |
0.879904 | + | 0.475152i | \(0.157607\pi\) | |||||||
\(224\) | −0.225399 | − | 0.693708i | −0.0150601 | − | 0.0463503i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 38.5419 | − | 28.0024i | 2.56377 | − | 1.86269i | ||||
\(227\) | 6.72202 | + | 20.6882i | 0.446156 | + | 1.37313i | 0.881211 | + | 0.472723i | \(0.156729\pi\) |
−0.435055 | + | 0.900404i | \(0.643271\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −2.16068 | − | 1.56983i | −0.142782 | − | 0.103737i | 0.514101 | − | 0.857730i | \(-0.328126\pi\) |
−0.656883 | + | 0.753992i | \(0.728126\pi\) | |||||||
\(230\) | −11.3082 | −0.745639 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 36.9240 | 2.42418 | ||||||||
\(233\) | −4.63323 | − | 3.36624i | −0.303533 | − | 0.220530i | 0.425584 | − | 0.904919i | \(-0.360069\pi\) |
−0.729117 | + | 0.684389i | \(0.760069\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −3.35354 | − | 10.3211i | −0.218761 | − | 0.673277i | ||||
\(236\) | −32.2110 | + | 23.4027i | −2.09676 | + | 1.52338i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0.376945 | + | 1.16012i | 0.0244337 | + | 0.0751992i | ||||
\(239\) | 7.53013 | − | 23.1754i | 0.487084 | − | 1.49909i | −0.341857 | − | 0.939752i | \(-0.611056\pi\) |
0.828940 | − | 0.559337i | \(-0.188944\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −16.7082 | −1.07627 | −0.538135 | − | 0.842859i | \(-0.680871\pi\) | ||||
−0.538135 | + | 0.842859i | \(0.680871\pi\) | |||||||
\(242\) | 20.8185 | − | 15.4286i | 1.33827 | − | 0.991788i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −3.46293 | − | 2.51597i | −0.221691 | − | 0.161068i | ||||
\(245\) | 2.15155 | − | 6.62178i | 0.137457 | − | 0.423050i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 4.37136 | − | 3.17598i | 0.278143 | − | 0.202083i | ||||
\(248\) | 7.39682 | − | 5.37410i | 0.469698 | − | 0.341256i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −0.727943 | + | 2.24038i | −0.0460392 | + | 0.141694i | ||||
\(251\) | −13.0239 | − | 9.46240i | −0.822060 | − | 0.597262i | 0.0952418 | − | 0.995454i | \(-0.469638\pi\) |
−0.917302 | + | 0.398193i | \(0.869638\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 9.41903 | + | 12.8360i | 0.592169 | + | 0.806995i | ||||
\(254\) | 16.7258 | 1.04947 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −7.53728 | + | 23.1974i | −0.471080 | + | 1.44984i | ||||
\(257\) | −1.84445 | − | 5.67662i | −0.115053 | − | 0.354098i | 0.876905 | − | 0.480664i | \(-0.159604\pi\) |
−0.991958 | + | 0.126566i | \(0.959604\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −0.894336 | + | 0.649773i | −0.0555713 | + | 0.0403749i | ||||
\(260\) | −1.06793 | − | 3.28674i | −0.0662301 | − | 0.203835i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −4.76490 | − | 3.46191i | −0.294377 | − | 0.213877i | ||||
\(263\) | 0.451149 | 0.0278190 | 0.0139095 | − | 0.999903i | \(-0.495572\pi\) | ||||
0.0139095 | + | 0.999903i | \(0.495572\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −9.28879 | −0.570606 | ||||||||
\(266\) | 2.04666 | + | 1.48698i | 0.125489 | + | 0.0911728i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 3.57459 | + | 11.0015i | 0.218353 | + | 0.672021i | ||||
\(269\) | 11.9085 | − | 8.65203i | 0.726074 | − | 0.527524i | −0.162245 | − | 0.986751i | \(-0.551873\pi\) |
0.888319 | + | 0.459227i | \(0.151873\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 1.36829 | + | 4.21115i | 0.0831175 | + | 0.255809i | 0.983975 | − | 0.178305i | \(-0.0570614\pi\) |
−0.900858 | + | 0.434114i | \(0.857061\pi\) | |||||||
\(272\) | 1.23896 | − | 3.81312i | 0.0751228 | − | 0.231204i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 36.0286 | 2.17657 | ||||||||
\(275\) | 3.14941 | − | 1.03980i | 0.189917 | − | 0.0627025i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 0.0746965 | + | 0.0542702i | 0.00448808 | + | 0.00326078i | 0.590027 | − | 0.807383i | \(-0.299117\pi\) |
−0.585539 | + | 0.810644i | \(0.699117\pi\) | |||||||
\(278\) | −14.3104 | + | 44.0427i | −0.858278 | + | 2.64151i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0.571377 | − | 0.415129i | 0.0341463 | − | 0.0248087i | ||||
\(281\) | 4.19314 | − | 3.04650i | 0.250142 | − | 0.181739i | −0.455648 | − | 0.890160i | \(-0.650592\pi\) |
0.705790 | + | 0.708421i | \(0.250592\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 0.483496 | − | 1.48805i | 0.0287408 | − | 0.0884552i | −0.935657 | − | 0.352910i | \(-0.885192\pi\) |
0.964398 | + | 0.264455i | \(0.0851921\pi\) | |||||||
\(284\) | 17.2017 | + | 12.4978i | 1.02073 | + | 0.741607i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −4.44240 | + | 6.17566i | −0.262684 | + | 0.365174i | ||||
\(287\) | 1.60214 | 0.0945710 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −3.04091 | + | 9.35897i | −0.178877 | + | 0.550527i | ||||
\(290\) | −7.36518 | − | 22.6677i | −0.432498 | − | 1.33109i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −9.49341 | + | 6.89736i | −0.555560 | + | 0.403638i | ||||
\(293\) | 7.15592 | + | 22.0236i | 0.418053 | + | 1.28664i | 0.909491 | + | 0.415723i | \(0.136471\pi\) |
−0.491438 | + | 0.870912i | \(0.663529\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 9.07556 | + | 6.59378i | 0.528400 | + | 0.383905i | ||||
\(296\) | 20.8461 | 1.21165 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 23.8699 | 1.38274 | ||||||||
\(299\) | −3.78150 | − | 2.74742i | −0.218690 | − | 0.158887i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0.305805 | + | 0.941172i | 0.0176263 | + | 0.0542483i | ||||
\(302\) | −22.7991 | + | 16.5646i | −1.31194 | + | 0.953183i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −2.56950 | − | 7.90811i | −0.147371 | − | 0.453561i | ||||
\(305\) | −0.372682 | + | 1.14700i | −0.0213397 | + | 0.0656768i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −7.72480 | −0.440878 | −0.220439 | − | 0.975401i | \(-0.570749\pi\) | ||||
−0.220439 | + | 0.975401i | \(0.570749\pi\) | |||||||
\(308\) | −2.16989 | − | 0.693708i | −0.123641 | − | 0.0395277i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −4.77460 | − | 3.46895i | −0.271179 | − | 0.197023i | ||||
\(311\) | 5.90867 | − | 18.1850i | 0.335050 | − | 1.03118i | −0.631647 | − | 0.775256i | \(-0.717621\pi\) |
0.966697 | − | 0.255922i | \(-0.0823790\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −2.34863 | + | 1.70638i | −0.132752 | + | 0.0964503i | −0.652180 | − | 0.758064i | \(-0.726145\pi\) |
0.519427 | + | 0.854515i | \(0.326145\pi\) | |||||||
\(314\) | 5.00468 | − | 3.63611i | 0.282430 | − | 0.205198i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 11.1354 | − | 34.2711i | 0.626413 | − | 1.92790i | ||||
\(317\) | 1.82962 | + | 1.32930i | 0.102762 | + | 0.0746607i | 0.637979 | − | 0.770053i | \(-0.279770\pi\) |
−0.535218 | + | 0.844714i | \(0.679770\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −19.5956 | + | 27.2411i | −1.09714 | + | 1.52521i | ||||
\(320\) | 11.8754 | 0.663857 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 0.676265 | − | 2.08133i | 0.0376868 | − | 0.115988i | ||||
\(323\) | −4.58829 | − | 14.1213i | −0.255299 | − | 0.785731i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −0.787747 | + | 0.572331i | −0.0436963 | + | 0.0317472i | ||||
\(326\) | 17.2693 | + | 53.1496i | 0.956460 | + | 2.94368i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −24.4421 | − | 17.7582i | −1.34959 | − | 0.980533i | ||||
\(329\) | 2.10021 | 0.115788 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 6.02336 | 0.331074 | 0.165537 | − | 0.986204i | \(-0.447064\pi\) | ||||
0.165537 | + | 0.986204i | \(0.447064\pi\) | |||||||
\(332\) | 23.8756 | + | 17.3466i | 1.31034 | + | 0.952021i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −2.54179 | − | 7.82284i | −0.139081 | − | 0.428047i | ||||
\(335\) | 2.63676 | − | 1.91572i | 0.144062 | − | 0.104667i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −4.50076 | − | 13.8519i | −0.245172 | − | 0.754562i | −0.995608 | − | 0.0936187i | \(-0.970157\pi\) |
0.750436 | − | 0.660943i | \(-0.229843\pi\) | |||||||
\(338\) | −8.77310 | + | 27.0008i | −0.477193 | + | 1.46865i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −9.49662 | −0.515026 | ||||||||
\(341\) | 0.0393084 | + | 8.30913i | 0.00212867 | + | 0.449965i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 2.18607 | + | 1.58827i | 0.118037 | + | 0.0857587i | ||||
\(344\) | 5.76669 | − | 17.7480i | 0.310919 | − | 0.956911i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −38.8009 | + | 28.1905i | −2.08595 | + | 1.51553i | ||||
\(347\) | 23.3281 | − | 16.9489i | 1.25232 | − | 0.909863i | 0.253965 | − | 0.967213i | \(-0.418265\pi\) |
0.998354 | + | 0.0573506i | \(0.0182653\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −0.504421 | + | 1.55245i | −0.0270010 | + | 0.0831006i | −0.963649 | − | 0.267172i | \(-0.913911\pi\) |
0.936648 | + | 0.350272i | \(0.113911\pi\) | |||||||
\(350\) | −0.368820 | − | 0.267964i | −0.0197143 | − | 0.0143233i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −7.39533 | − | 10.0782i | −0.394172 | − | 0.537169i | ||||
\(353\) | −24.9297 | −1.32687 | −0.663437 | − | 0.748232i | \(-0.730903\pi\) | ||||
−0.663437 | + | 0.748232i | \(0.730903\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 1.85125 | − | 5.69757i | 0.0982543 | − | 0.302396i | ||||
\(356\) | −8.05321 | − | 24.7852i | −0.426819 | − | 1.31361i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 7.33949 | − | 5.33245i | 0.387904 | − | 0.281829i | ||||
\(359\) | −8.78874 | − | 27.0489i | −0.463852 | − | 1.42759i | −0.860421 | − | 0.509584i | \(-0.829799\pi\) |
0.396569 | − | 0.918005i | \(-0.370201\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −9.54125 | − | 6.93213i | −0.502171 | − | 0.364849i | ||||
\(362\) | −41.4955 | −2.18095 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 0.668808 | 0.0350550 | ||||||||
\(365\) | 2.67480 | + | 1.94336i | 0.140005 | + | 0.101720i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −3.22653 | − | 9.93023i | −0.168423 | − | 0.518354i | 0.830849 | − | 0.556498i | \(-0.187855\pi\) |
−0.999272 | + | 0.0381442i | \(0.987855\pi\) | |||||||
\(368\) | −5.81930 | + | 4.22797i | −0.303352 | + | 0.220398i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −4.15814 | − | 12.7974i | −0.216171 | − | 0.665307i | ||||
\(371\) | 0.555499 | − | 1.70965i | 0.0288401 | − | 0.0887606i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −2.81747 | −0.145883 | −0.0729416 | − | 0.997336i | \(-0.523239\pi\) | ||||
−0.0729416 | + | 0.997336i | \(0.523239\pi\) | |||||||
\(374\) | 12.3675 | + | 16.8542i | 0.639509 | + | 0.871508i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −32.0407 | − | 23.2789i | −1.65237 | − | 1.20052i | ||||
\(377\) | 3.04437 | − | 9.36960i | 0.156793 | − | 0.482559i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −7.22711 | + | 5.25080i | −0.371231 | + | 0.269715i | −0.757721 | − | 0.652578i | \(-0.773687\pi\) |
0.386490 | + | 0.922294i | \(0.373687\pi\) | |||||||
\(380\) | −15.9338 | + | 11.5766i | −0.817386 | + | 0.593865i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −0.303625 | + | 0.934460i | −0.0155348 | + | 0.0478111i | ||||
\(383\) | −6.90317 | − | 5.01545i | −0.352736 | − | 0.256278i | 0.397280 | − | 0.917697i | \(-0.369954\pi\) |
−0.750016 | + | 0.661420i | \(0.769954\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0.00303643 | + | 0.641850i | 0.000154751 | + | 0.0327117i | ||||
\(386\) | 27.5532 | 1.40242 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −17.3862 | + | 53.5093i | −0.882651 | + | 2.71652i | ||||
\(389\) | −3.63890 | − | 11.1994i | −0.184500 | − | 0.567832i | 0.815440 | − | 0.578842i | \(-0.196495\pi\) |
−0.999939 | + | 0.0110104i | \(0.996495\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −10.3914 | + | 7.54978i | −0.525515 | + | 0.381809i | ||||
\(392\) | −7.85188 | − | 24.1656i | −0.396580 | − | 1.22055i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 41.1569 | + | 29.9023i | 2.07346 | + | 1.50645i | ||||
\(395\) | −10.1529 | −0.510849 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −1.41214 | −0.0708735 | −0.0354368 | − | 0.999372i | \(-0.511282\pi\) | ||||
−0.0354368 | + | 0.999372i | \(0.511282\pi\) | |||||||
\(398\) | −14.7894 | − | 10.7451i | −0.741325 | − | 0.538604i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 0.463040 | + | 1.42509i | 0.0231520 | + | 0.0712545i | ||||
\(401\) | 6.84361 | − | 4.97217i | 0.341753 | − | 0.248298i | −0.403648 | − | 0.914914i | \(-0.632258\pi\) |
0.745401 | + | 0.666616i | \(0.232258\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −0.753833 | − | 2.32006i | −0.0375511 | − | 0.115570i | ||||
\(404\) | −14.4325 | + | 44.4185i | −0.718042 | + | 2.20991i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 4.61257 | 0.228918 | ||||||||
\(407\) | −11.0630 | + | 15.3794i | −0.548375 | + | 0.762331i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −8.19172 | − | 5.95163i | −0.405054 | − | 0.294289i | 0.366542 | − | 0.930401i | \(-0.380542\pi\) |
−0.771597 | + | 0.636112i | \(0.780542\pi\) | |||||||
\(410\) | −6.02636 | + | 18.5472i | −0.297621 | + | 0.915982i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −11.4779 | + | 8.33918i | −0.565475 | + | 0.410842i | ||||
\(413\) | −1.75637 | + | 1.27608i | −0.0864252 | + | 0.0627915i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 2.56950 | − | 7.90811i | 0.126132 | − | 0.388194i | ||||
\(416\) | 2.96903 | + | 2.15713i | 0.145569 | + | 0.105762i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 41.2962 | + | 13.2023i | 2.01987 | + | 0.645746i | ||||
\(419\) | −32.8019 | −1.60248 | −0.801240 | − | 0.598343i | \(-0.795826\pi\) | ||||
−0.801240 | + | 0.598343i | \(0.795826\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −4.36619 | + | 13.4377i | −0.212795 | + | 0.654915i | 0.786508 | + | 0.617580i | \(0.211887\pi\) |
−0.999303 | + | 0.0373351i | \(0.988113\pi\) | |||||||
\(422\) | −9.10342 | − | 28.0175i | −0.443148 | − | 1.36387i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −27.4246 | + | 19.9251i | −1.33185 | + | 0.967649i | ||||
\(425\) | 0.826838 | + | 2.54475i | 0.0401076 | + | 0.123438i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −0.188823 | − | 0.137188i | −0.00913779 | − | 0.00663899i | ||||
\(428\) | −17.3443 | −0.838368 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −12.0458 | −0.580901 | ||||||||
\(431\) | 15.4569 | + | 11.2301i | 0.744531 | + | 0.540933i | 0.894127 | − | 0.447814i | \(-0.147797\pi\) |
−0.149596 | + | 0.988747i | \(0.547797\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 4.67235 | + | 14.3800i | 0.224539 | + | 0.691059i | 0.998338 | + | 0.0576283i | \(0.0183538\pi\) |
−0.773799 | + | 0.633431i | \(0.781646\pi\) | |||||||
\(434\) | 0.924015 | − | 0.671336i | 0.0443541 | − | 0.0322252i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −8.24740 | − | 25.3829i | −0.394979 | − | 1.21562i | ||||
\(437\) | −8.23171 | + | 25.3346i | −0.393776 | + | 1.21192i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 37.1642 | 1.77375 | 0.886876 | − | 0.462008i | \(-0.152871\pi\) | ||||
0.886876 | + | 0.462008i | \(0.152871\pi\) | |||||||
\(440\) | 7.06799 | − | 9.82567i | 0.336953 | − | 0.468421i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −4.96524 | − | 3.60746i | −0.236172 | − | 0.171589i | ||||
\(443\) | 0.853040 | − | 2.62539i | 0.0405291 | − | 0.124736i | −0.928745 | − | 0.370720i | \(-0.879111\pi\) |
0.969274 | + | 0.245984i | \(0.0791110\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −5.94037 | + | 4.31593i | −0.281601 | + | 0.204595i | ||||
\(446\) | 10.2449 | − | 7.44333i | 0.485108 | − | 0.352452i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −0.710189 | + | 2.18574i | −0.0335533 | + | 0.103266i | ||||
\(449\) | −14.4540 | − | 10.5015i | −0.682127 | − | 0.495594i | 0.191936 | − | 0.981408i | \(-0.438524\pi\) |
−0.874063 | + | 0.485813i | \(0.838524\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 26.0728 | − | 8.60813i | 1.22772 | − | 0.405341i | ||||
\(452\) | −71.7780 | −3.37615 | ||||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 15.8349 | − | 48.7348i | 0.743168 | − | 2.28724i | ||||
\(455\) | −0.0582308 | − | 0.179216i | −0.00272990 | − | 0.00840178i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 17.1205 | − | 12.4388i | 0.800864 | − | 0.581862i | −0.110304 | − | 0.993898i | \(-0.535182\pi\) |
0.911167 | + | 0.412036i | \(0.135182\pi\) | |||||||
\(458\) | 1.94416 | + | 5.98350i | 0.0908444 | + | 0.279590i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 13.7837 | + | 10.0144i | 0.642668 | + | 0.466926i | ||||
\(461\) | 34.3476 | 1.59973 | 0.799864 | − | 0.600181i | \(-0.204905\pi\) | ||||
0.799864 | + | 0.600181i | \(0.204905\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 10.4516 | 0.485727 | 0.242864 | − | 0.970060i | \(-0.421913\pi\) | ||||
0.242864 | + | 0.970060i | \(0.421913\pi\) | |||||||
\(464\) | −12.2653 | − | 8.91129i | −0.569404 | − | 0.413696i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 4.16892 | + | 12.8306i | 0.193122 | + | 0.594367i | ||||
\(467\) | 23.9820 | − | 17.4239i | 1.10975 | − | 0.806284i | 0.127129 | − | 0.991886i | \(-0.459424\pi\) |
0.982625 | + | 0.185602i | \(0.0594236\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 0.194911 | + | 0.599875i | 0.00900017 | + | 0.0276997i | ||||
\(470\) | −7.89985 | + | 24.3133i | −0.364393 | + | 1.12149i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 40.9392 | 1.88438 | ||||||||
\(473\) | 10.0334 | + | 13.6734i | 0.461338 | + | 0.628701i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 4.48940 | + | 3.26174i | 0.205988 | + | 0.149659i | ||||
\(476\) | 0.567928 | − | 1.74790i | 0.0260309 | − | 0.0801150i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −46.4401 | + | 33.7407i | −2.12412 | + | 1.54326i | ||||
\(479\) | −10.6941 | + | 7.76971i | −0.488625 | + | 0.355007i | −0.804655 | − | 0.593742i | \(-0.797650\pi\) |
0.316030 | + | 0.948749i | \(0.397650\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 1.71875 | − | 5.28977i | 0.0783682 | − | 0.241193i | ||||
\(482\) | 31.8422 | + | 23.1347i | 1.45037 | + | 1.05376i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −39.0395 | + | 0.369380i | −1.77452 | + | 0.0167900i | ||||
\(485\) | 15.8523 | 0.719816 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −13.1325 | + | 40.4176i | −0.595089 | + | 1.83150i | −0.0408075 | + | 0.999167i | \(0.512993\pi\) |
−0.554282 | + | 0.832329i | \(0.687007\pi\) | |||||||
\(488\) | 1.36007 | + | 4.18586i | 0.0615675 | + | 0.189485i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −13.2691 | + | 9.64056i | −0.599436 | + | 0.435516i | ||||
\(491\) | 4.86568 | + | 14.9750i | 0.219585 | + | 0.675813i | 0.998796 | + | 0.0490515i | \(0.0156198\pi\) |
−0.779211 | + | 0.626761i | \(0.784380\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −21.9019 | − | 15.9127i | −0.986412 | − | 0.716670i | ||||
\(494\) | −12.7284 | −0.572679 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −3.75405 | −0.168562 | ||||||||
\(497\) | 0.937957 | + | 0.681466i | 0.0420731 | + | 0.0305679i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −10.3607 | − | 31.8869i | −0.463808 | − | 1.42746i | −0.860475 | − | 0.509493i | \(-0.829833\pi\) |
0.396666 | − | 0.917963i | \(-0.370167\pi\) | |||||||
\(500\) | 2.87136 | − | 2.08617i | 0.128411 | − | 0.0932963i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 11.7187 | + | 36.0665i | 0.523032 | + | 1.60973i | ||||
\(503\) | 7.05063 | − | 21.6996i | 0.314372 | − | 0.967537i | −0.661640 | − | 0.749821i | \(-0.730139\pi\) |
0.976012 | − | 0.217716i | \(-0.0698606\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 13.1591 | 0.585574 | ||||||||
\(506\) | −0.177425 | − | 37.5046i | −0.00788749 | − | 1.66728i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −20.3873 | − | 14.8122i | −0.904540 | − | 0.657187i | ||||
\(509\) | −12.2731 | + | 37.7727i | −0.543996 | + | 1.67425i | 0.179370 | + | 0.983782i | \(0.442594\pi\) |
−0.723365 | + | 0.690465i | \(0.757406\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −0.517646 | + | 0.376092i | −0.0228993 | + | 0.0166373i | ||||
\(512\) | 13.4170 | − | 9.74805i | 0.592955 | − | 0.430807i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −4.34491 | + | 13.3723i | −0.191646 | + | 0.589826i | ||||
\(515\) | 3.23394 | + | 2.34959i | 0.142504 | + | 0.103535i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 34.1784 | − | 11.2843i | 1.50316 | − | 0.496281i | ||||
\(518\) | 2.60410 | 0.114418 | ||||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −1.09808 | + | 3.37955i | −0.0481540 | + | 0.148203i | ||||
\(521\) | −7.88005 | − | 24.2523i | −0.345231 | − | 1.06251i | −0.961460 | − | 0.274945i | \(-0.911340\pi\) |
0.616229 | − | 0.787567i | \(-0.288660\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 12.4835 | − | 9.06977i | 0.545864 | − | 0.396593i | −0.280394 | − | 0.959885i | \(-0.590465\pi\) |
0.826258 | + | 0.563291i | \(0.190465\pi\) | |||||||
\(524\) | 2.74217 | + | 8.43953i | 0.119792 | + | 0.368683i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −0.859791 | − | 0.624675i | −0.0374887 | − | 0.0272371i | ||||
\(527\) | −6.70351 | −0.292010 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 0.0438407 | 0.00190612 | ||||||||
\(530\) | 17.7024 | + | 12.8615i | 0.768943 | + | 0.558669i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −1.17784 | − | 3.62501i | −0.0510657 | − | 0.157164i | ||||
\(533\) | −6.52145 | + | 4.73811i | −0.282475 | + | 0.205230i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 1.51011 | + | 4.64764i | 0.0652877 | + | 0.200935i | ||||
\(536\) | 3.67552 | − | 11.3121i | 0.158758 | − | 0.488607i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −34.6749 | −1.49494 | ||||||||
\(539\) | 21.9955 | + | 7.03189i | 0.947411 | + | 0.302885i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −22.3294 | − | 16.2233i | −0.960018 | − | 0.697494i | −0.00686309 | − | 0.999976i | \(-0.502185\pi\) |
−0.953155 | + | 0.302483i | \(0.902185\pi\) | |||||||
\(542\) | 3.22324 | − | 9.92010i | 0.138450 | − | 0.426105i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 8.15877 | − | 5.92769i | 0.349804 | − | 0.254148i | ||||
\(545\) | −6.08362 | + | 4.42001i | −0.260594 | + | 0.189332i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 9.50800 | − | 29.2626i | 0.406533 | − | 1.25118i | −0.513076 | − | 0.858343i | \(-0.671494\pi\) |
0.919608 | − | 0.392836i | \(-0.128506\pi\) | |||||||
\(548\) | −43.9157 | − | 31.9067i | −1.87599 | − | 1.36298i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −7.44184 | − | 2.37914i | −0.317321 | − | 0.101447i | ||||
\(551\) | −56.1457 | −2.39189 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 0.607177 | − | 1.86870i | 0.0258198 | − | 0.0794652i | ||||
\(554\) | −0.0672109 | − | 0.206854i | −0.00285552 | − | 0.00878838i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 56.4470 | − | 41.0112i | 2.39389 | − | 1.73926i | ||||
\(557\) | 4.30642 | + | 13.2538i | 0.182469 | + | 0.561582i | 0.999896 | − | 0.0144509i | \(-0.00460003\pi\) |
−0.817427 | + | 0.576033i | \(0.804600\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −4.02817 | − | 2.92664i | −0.170373 | − | 0.123783i | ||||
\(560\) | −0.289986 | −0.0122542 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −12.2095 | −0.515026 | ||||||||
\(563\) | 4.72456 | + | 3.43259i | 0.199117 | + | 0.144667i | 0.682876 | − | 0.730534i | \(-0.260729\pi\) |
−0.483759 | + | 0.875201i | \(0.660729\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 6.24947 | + | 19.2339i | 0.262917 | + | 0.809176i | ||||
\(566\) | −2.98183 | + | 2.16643i | −0.125336 | + | 0.0910618i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −6.75599 | − | 20.7928i | −0.283475 | − | 0.872447i | ||||
\(569\) | 1.68536 | − | 5.18701i | 0.0706540 | − | 0.217451i | −0.909494 | − | 0.415716i | \(-0.863531\pi\) |
0.980148 | + | 0.198266i | \(0.0635309\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 40.2894 | 1.68606 | 0.843030 | − | 0.537866i | \(-0.180770\pi\) | ||||
0.843030 | + | 0.537866i | \(0.180770\pi\) | |||||||
\(572\) | 10.8840 | − | 3.59344i | 0.455084 | − | 0.150249i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −3.05332 | − | 2.21837i | −0.127443 | − | 0.0925928i | ||||
\(575\) | 1.48341 | − | 4.56545i | 0.0618623 | − | 0.190392i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 19.2737 | − | 14.0032i | 0.802374 | − | 0.582959i | −0.109236 | − | 0.994016i | \(-0.534840\pi\) |
0.911610 | + | 0.411057i | \(0.134840\pi\) | |||||||
\(578\) | 18.7540 | − | 13.6256i | 0.780065 | − | 0.566750i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −11.0968 | + | 34.1525i | −0.460771 | + | 1.41811i | ||||
\(581\) | 1.30186 | + | 0.945860i | 0.0540104 | + | 0.0392409i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −0.145740 | − | 30.8071i | −0.00603595 | − | 1.27590i | ||||
\(584\) | 12.0658 | 0.499287 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 16.8570 | − | 51.8805i | 0.696357 | − | 2.14317i | ||||
\(587\) | −6.05919 | − | 18.6483i | −0.250090 | − | 0.769697i | −0.994758 | − | 0.102262i | \(-0.967392\pi\) |
0.744668 | − | 0.667435i | \(-0.232608\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −11.2474 | + | 8.17172i | −0.463441 | + | 0.336710i | ||||
\(590\) | −8.16608 | − | 25.1326i | −0.336192 | − | 1.03469i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −6.92460 | − | 5.03102i | −0.284599 | − | 0.206774i | ||||
\(593\) | −3.31095 | −0.135964 | −0.0679822 | − | 0.997687i | \(-0.521656\pi\) | ||||
−0.0679822 | + | 0.997687i | \(0.521656\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −0.517822 | −0.0212286 | ||||||||
\(596\) | −29.0953 | − | 21.1390i | −1.19179 | − | 0.865887i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 3.40255 | + | 10.4720i | 0.139140 | + | 0.428230i | ||||
\(599\) | 25.9460 | − | 18.8509i | 1.06012 | − | 0.770225i | 0.0860126 | − | 0.996294i | \(-0.472587\pi\) |
0.974111 | + | 0.226069i | \(0.0725875\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −9.05125 | − | 27.8569i | −0.369208 | − | 1.13631i | −0.947304 | − | 0.320337i | \(-0.896204\pi\) |
0.578095 | − | 0.815969i | \(-0.303796\pi\) | |||||||
\(602\) | 0.720378 | − | 2.21710i | 0.0293604 | − | 0.0903621i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 42.4596 | 1.72766 | ||||||||
\(605\) | 3.49802 | + | 10.4290i | 0.142215 | + | 0.423999i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 31.6169 | + | 22.9710i | 1.28329 | + | 0.932364i | 0.999647 | − | 0.0265657i | \(-0.00845712\pi\) |
0.283642 | + | 0.958930i | \(0.408457\pi\) | |||||||
\(608\) | 6.46311 | − | 19.8914i | 0.262114 | − | 0.806703i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 2.29842 | − | 1.66990i | 0.0930601 | − | 0.0676121i | ||||
\(611\) | −8.54886 | + | 6.21111i | −0.345850 | + | 0.251275i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −3.93452 | + | 12.1092i | −0.158914 | + | 0.489086i | −0.998536 | − | 0.0540840i | \(-0.982776\pi\) |
0.839623 | + | 0.543170i | \(0.182776\pi\) | |||||||
\(614\) | 14.7218 | + | 10.6960i | 0.594123 | + | 0.431655i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 1.38578 | + | 1.88851i | 0.0558346 | + | 0.0760901i | ||||
\(617\) | 8.97789 | 0.361436 | 0.180718 | − | 0.983535i | \(-0.442158\pi\) | ||||
0.180718 | + | 0.983535i | \(0.442158\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −6.86392 | + | 21.1250i | −0.275884 | + | 0.849084i | 0.713100 | + | 0.701062i | \(0.247290\pi\) |
−0.988984 | + | 0.148022i | \(0.952710\pi\) | |||||||
\(620\) | 2.74775 | + | 8.45670i | 0.110352 | + | 0.339629i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −36.4402 | + | 26.4753i | −1.46112 | + | 1.06156i | ||||
\(623\) | −0.439117 | − | 1.35146i | −0.0175928 | − | 0.0541452i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −0.809017 | − | 0.587785i | −0.0323607 | − | 0.0235114i | ||||
\(626\) | 6.83868 | 0.273329 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −9.32038 | −0.371924 | ||||||||
\(629\) | −12.3651 | − | 8.98377i | −0.493029 | − | 0.358206i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 8.27153 | + | 25.4572i | 0.329285 | + | 1.01343i | 0.969469 | + | 0.245213i | \(0.0788578\pi\) |
−0.640185 | + | 0.768221i | \(0.721142\pi\) | |||||||
\(632\) | −29.9759 | + | 21.7788i | −1.19238 | + | 0.866313i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −1.64627 | − | 5.06670i | −0.0653817 | − | 0.201224i | ||||
\(635\) | −2.19409 | + | 6.75270i | −0.0870697 | + | 0.267973i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −6.77949 | −0.268613 | ||||||||
\(638\) | 75.0639 | − | 24.7829i | 2.97181 | − | 0.981166i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −16.5336 | − | 12.0123i | −0.653547 | − | 0.474830i | ||||
\(641\) | −4.65770 | + | 14.3349i | −0.183968 | + | 0.566195i | −0.999929 | − | 0.0119117i | \(-0.996208\pi\) |
0.815961 | + | 0.578107i | \(0.196208\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 31.7840 | − | 23.0925i | 1.25344 | − | 0.910678i | 0.255024 | − | 0.966935i | \(-0.417917\pi\) |
0.998416 | + | 0.0562569i | \(0.0179166\pi\) | |||||||
\(644\) | −2.66752 | + | 1.93807i | −0.105115 | + | 0.0763705i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −10.8085 | + | 33.2652i | −0.425256 | + | 1.30880i | ||||
\(647\) | 19.2656 | + | 13.9973i | 0.757408 | + | 0.550289i | 0.898114 | − | 0.439762i | \(-0.144937\pi\) |
−0.140706 | + | 0.990051i | \(0.544937\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −21.7265 | + | 30.2033i | −0.852838 | + | 1.18559i | ||||
\(650\) | 2.29374 | 0.0899679 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 26.0190 | − | 80.0784i | 1.01898 | − | 3.13611i | ||||
\(653\) | −2.13331 | − | 6.56566i | −0.0834829 | − | 0.256934i | 0.900599 | − | 0.434652i | \(-0.143129\pi\) |
−0.984081 | + | 0.177718i | \(0.943129\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 2.02273 | − | 1.46960i | 0.0790348 | − | 0.0574221i | ||||
\(656\) | 3.83332 | + | 11.7978i | 0.149666 | + | 0.460625i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −4.00254 | − | 2.90802i | −0.156035 | − | 0.113366i | ||||
\(659\) | 20.3718 | 0.793571 | 0.396786 | − | 0.917911i | \(-0.370126\pi\) | ||||
0.396786 | + | 0.917911i | \(0.370126\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −19.7451 | −0.767994 | −0.383997 | − | 0.923334i | \(-0.625453\pi\) | ||||
−0.383997 | + | 0.923334i | \(0.625453\pi\) | |||||||
\(662\) | −11.4792 | − | 8.34013i | −0.446152 | − | 0.324148i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −9.37717 | − | 28.8600i | −0.363905 | − | 1.11998i | ||||
\(665\) | −0.868820 | + | 0.631235i | −0.0336914 | + | 0.0244782i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 15.0088 | + | 46.1923i | 0.581143 | + | 1.78857i | ||||
\(668\) | −3.82962 | + | 11.7864i | −0.148172 | + | 0.456028i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −7.67765 | −0.296613 | ||||||||
\(671\) | −3.80996 | − | 1.21803i | −0.147082 | − | 0.0470217i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −29.6207 | − | 21.5207i | −1.14180 | − | 0.829563i | −0.154427 | − | 0.988004i | \(-0.549353\pi\) |
−0.987368 | + | 0.158441i | \(0.949353\pi\) | |||||||
\(674\) | −10.6023 | + | 32.6306i | −0.408386 | + | 1.25688i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 34.6054 | − | 25.1423i | 1.33098 | − | 0.967011i | ||||
\(677\) | 5.96357 | − | 4.33279i | 0.229199 | − | 0.166523i | −0.467259 | − | 0.884120i | \(-0.654758\pi\) |
0.696458 | + | 0.717598i | \(0.254758\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −0.948017 | + | 2.91770i | −0.0363816 | + | 0.111971i | ||||
\(680\) | 7.89985 | + | 5.73958i | 0.302946 | + | 0.220103i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 11.4302 | − | 15.8898i | 0.437684 | − | 0.608452i | ||||
\(683\) | −24.5651 | −0.939959 | −0.469979 | − | 0.882677i | \(-0.655739\pi\) | ||||
−0.469979 | + | 0.882677i | \(0.655739\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −4.72622 | + | 14.5458i | −0.180580 | + | 0.555767i | ||||
\(686\) | −1.96700 | − | 6.05380i | −0.0751004 | − | 0.231135i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −6.19890 | + | 4.50376i | −0.236331 | + | 0.171704i | ||||
\(689\) | 2.79492 | + | 8.60189i | 0.106478 | + | 0.327706i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −24.1439 | − | 17.5416i | −0.918479 | − | 0.667314i | 0.0246662 | − | 0.999696i | \(-0.492148\pi\) |
−0.943145 | + | 0.332382i | \(0.892148\pi\) | |||||||
\(692\) | 72.2602 | 2.74692 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −67.9262 | −2.57844 | ||||||||
\(695\) | −15.9041 | − | 11.5550i | −0.603279 | − | 0.438308i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 6.84507 | + | 21.0670i | 0.259276 | + | 0.797968i | ||||
\(698\) | 3.11088 | − | 2.26019i | 0.117749 | − | 0.0855494i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 0.212253 | + | 0.653249i | 0.00802243 | + | 0.0246905i | ||||
\(701\) | 4.45569 | − | 13.7132i | 0.168289 | − | 0.517940i | −0.830975 | − | 0.556310i | \(-0.812217\pi\) |
0.999264 | + | 0.0383701i | \(0.0122166\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −31.6980 | −1.19551 | ||||||||
\(704\) | 0.186325 | + | 39.3859i | 0.00702238 | + | 1.48441i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 47.5106 | + | 34.5184i | 1.78808 | + | 1.29912i | ||||
\(707\) | −0.786958 | + | 2.42201i | −0.0295966 | + | 0.0910890i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 36.0084 | − | 26.1616i | 1.35232 | − | 0.982520i | 0.353430 | − | 0.935461i | \(-0.385015\pi\) |
0.998892 | − | 0.0470585i | \(-0.0149847\pi\) | |||||||
\(710\) | −11.4171 | + | 8.29502i | −0.428477 | + | 0.311307i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −8.28059 | + | 25.4850i | −0.310328 | + | 0.955093i | ||||
\(713\) | 9.72970 | + | 7.06904i | 0.364380 | + | 0.264738i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −1.91055 | − | 2.60365i | −0.0714504 | − | 0.0973710i | ||||
\(716\) | −13.6686 | −0.510819 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −20.7034 | + | 63.7185i | −0.772644 | + | 2.37795i | ||||
\(719\) | −1.11044 | − | 3.41758i | −0.0414124 | − | 0.127454i | 0.928213 | − | 0.372050i | \(-0.121345\pi\) |
−0.969625 | + | 0.244595i | \(0.921345\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −0.625854 | + | 0.454710i | −0.0233080 | + | 0.0169343i | ||||
\(722\) | 8.58510 | + | 26.4222i | 0.319504 | + | 0.983333i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 50.5794 | + | 36.7481i | 1.87977 | + | 1.36573i | ||||
\(725\) | 10.1178 | 0.375766 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −39.0846 | −1.44957 | −0.724784 | − | 0.688976i | \(-0.758060\pi\) | ||||
−0.724784 | + | 0.688976i | \(0.758060\pi\) | |||||||
\(728\) | −0.556354 | − | 0.404215i | −0.0206199 | − | 0.0149812i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −2.40675 | − | 7.40722i | −0.0890779 | − | 0.274154i | ||||
\(731\) | −11.0692 | + | 8.04226i | −0.409410 | + | 0.297454i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 11.6519 | + | 35.8610i | 0.430374 | + | 1.32455i | 0.897753 | + | 0.440498i | \(0.145198\pi\) |
−0.467379 | + | 0.884057i | \(0.654802\pi\) | |||||||
\(734\) | −7.60065 | + | 23.3924i | −0.280545 | + | 0.863429i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −18.0928 | −0.666910 | ||||||||
\(737\) | 6.39502 | + | 8.71499i | 0.235564 | + | 0.321021i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −12.0806 | − | 8.77706i | −0.444392 | − | 0.322869i | 0.342986 | − | 0.939341i | \(-0.388562\pi\) |
−0.787377 | + | 0.616471i | \(0.788562\pi\) | |||||||
\(740\) | −6.26490 | + | 19.2814i | −0.230302 | + | 0.708798i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −3.42589 | + | 2.48906i | −0.125768 | + | 0.0913761i | ||||
\(743\) | 10.8149 | − | 7.85749i | 0.396760 | − | 0.288263i | −0.371460 | − | 0.928449i | \(-0.621143\pi\) |
0.768220 | + | 0.640186i | \(0.221143\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −3.13125 | + | 9.63699i | −0.114720 | + | 0.353072i | ||||
\(746\) | 5.36949 | + | 3.90116i | 0.196591 | + | 0.142832i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −0.149001 | − | 31.4964i | −0.00544803 | − | 1.15162i | ||||
\(749\) | −0.945731 | −0.0345563 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 12.5045 | − | 38.4849i | 0.456296 | − | 1.40434i | −0.413310 | − | 0.910590i | \(-0.635627\pi\) |
0.869606 | − | 0.493745i | \(-0.164373\pi\) | |||||||
\(752\) | 5.02504 | + | 15.4655i | 0.183244 | + | 0.563968i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −18.7753 | + | 13.6411i | −0.683757 | + | 0.496779i | ||||
\(755\) | −3.69682 | − | 11.3776i | −0.134541 | − | 0.414075i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 6.90704 | + | 5.01826i | 0.251040 | + | 0.182392i | 0.706188 | − | 0.708025i | \(-0.250413\pi\) |
−0.455147 | + | 0.890416i | \(0.650413\pi\) | |||||||
\(758\) | 21.0437 | 0.764341 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 20.2513 | 0.734593 | ||||||||
\(761\) | −17.2162 | − | 12.5083i | −0.624089 | − | 0.453427i | 0.230259 | − | 0.973129i | \(-0.426043\pi\) |
−0.854347 | + | 0.519703i | \(0.826043\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −0.449706 | − | 1.38405i | −0.0162804 | − | 0.0501060i | ||||
\(764\) | 1.19764 | − | 0.870139i | 0.0433292 | − | 0.0314805i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 6.21139 | + | 19.1167i | 0.224427 | + | 0.690714i | ||||
\(767\) | 3.37541 | − | 10.3885i | 0.121879 | − | 0.375105i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −24.4717 | −0.882471 | −0.441235 | − | 0.897391i | \(-0.645460\pi\) | ||||
−0.441235 | + | 0.897391i | \(0.645460\pi\) | |||||||
\(770\) | 0.882938 | − | 1.22743i | 0.0318189 | − | 0.0442335i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −33.5850 | − | 24.4009i | −1.20875 | − | 0.878209i | ||||
\(773\) | −4.21721 | + | 12.9792i | −0.151682 | + | 0.466830i | −0.997810 | − | 0.0661505i | \(-0.978928\pi\) |
0.846127 | + | 0.532981i | \(0.178928\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 2.02685 | − | 1.47259i | 0.0728066 | − | 0.0528971i | ||||
\(776\) | 46.8029 | − | 34.0043i | 1.68013 | − | 1.22068i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −8.57207 | + | 26.3821i | −0.307324 | + | 0.945845i | ||||
\(779\) | 37.1660 | + | 27.0027i | 1.33161 | + | 0.967471i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 18.9255 | + | 6.05045i | 0.677209 | + | 0.216502i | ||||
\(782\) | 30.2574 | 1.08200 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −3.22394 | + | 9.92225i | −0.115141 | + | 0.354366i | ||||
\(785\) | 0.811494 | + | 2.49752i | 0.0289635 | + | 0.0891404i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 6.03291 | − | 4.38317i | 0.215050 | − | 0.156243i | −0.475046 | − | 0.879961i | \(-0.657568\pi\) |
0.690096 | + | 0.723718i | \(0.257568\pi\) | |||||||
\(788\) | −23.6855 | − | 72.8966i | −0.843762 | − | 2.59683i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 19.3493 | + | 14.0581i | 0.688416 | + | 0.500163i | ||||
\(791\) | −3.91383 | −0.139160 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 1.17431 | 0.0417011 | ||||||||
\(794\) | 2.69124 | + | 1.95530i | 0.0955085 | + | 0.0693910i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 8.51119 | + | 26.1947i | 0.301671 | + | 0.928448i | ||||
\(797\) | 9.73624 | − | 7.07379i | 0.344875 | − | 0.250567i | −0.401841 | − | 0.915710i | \(-0.631629\pi\) |
0.746716 | + | 0.665143i | \(0.231629\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 8.97309 | + | 27.6163i | 0.317445 | + | 0.976996i | ||||
\(800\) | −1.16469 | + | 3.58455i | −0.0411781 | + | 0.126733i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −19.9270 | −0.703648 | ||||||||
\(803\) | −6.40334 | + | 8.90170i | −0.225969 | + | 0.314134i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 0.751583 | + | 0.546057i | 0.0264898 | + | 0.0192460i | ||||
\(806\) | −1.77579 | + | 5.46531i | −0.0625494 | + | 0.192507i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 38.8515 | − | 28.2273i | 1.36679 | − | 0.993033i | ||||
\(809\) | −40.4782 | + | 29.4091i | −1.42314 | + | 1.03397i | −0.431892 | + | 0.901925i | \(0.642154\pi\) |
−0.991244 | + | 0.132044i | \(0.957846\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −3.46678 | + | 10.6697i | −0.121735 | + | 0.374663i | −0.993292 | − | 0.115632i | \(-0.963111\pi\) |
0.871557 | + | 0.490294i | \(0.163111\pi\) | |||||||
\(812\) | −5.62233 | − | 4.08486i | −0.197305 | − | 0.143350i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 42.3786 | − | 13.9916i | 1.48537 | − | 0.490406i | ||||
\(815\) | −23.7235 | −0.830997 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −8.76867 | + | 26.9872i | −0.306777 | + | 0.944163i | ||||
\(818\) | 7.37080 | + | 22.6850i | 0.257714 | + | 0.793163i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 23.7709 | − | 17.2706i | 0.830116 | − | 0.603114i | ||||
\(821\) | −2.27969 | − | 7.01616i | −0.0795617 | − | 0.244866i | 0.903362 | − | 0.428879i | \(-0.141091\pi\) |
−0.982924 | + | 0.184013i | \(0.941091\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −28.8318 | − | 20.9475i | −1.00501 | − | 0.730184i | −0.0418554 | − | 0.999124i | \(-0.513327\pi\) |
−0.963157 | + | 0.268939i | \(0.913327\pi\) | |||||||
\(824\) | 14.5880 | 0.508198 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 5.11414 | 0.177944 | ||||||||
\(827\) | −40.8789 | − | 29.7003i | −1.42150 | − | 1.03278i | −0.991522 | − | 0.129940i | \(-0.958522\pi\) |
−0.429977 | − | 0.902840i | \(-0.641478\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −1.89888 | − | 5.84416i | −0.0659509 | − | 0.202976i | 0.912651 | − | 0.408741i | \(-0.134032\pi\) |
−0.978602 | + | 0.205765i | \(0.934032\pi\) | |||||||
\(830\) | −15.8467 | + | 11.5133i | −0.550047 | + | 0.399633i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −3.57323 | − | 10.9973i | −0.123879 | − | 0.381262i | ||||
\(833\) | −5.75690 | + | 17.7179i | −0.199465 | + | 0.613890i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 3.49175 | 0.120837 | ||||||||
\(836\) | −38.6447 | − | 52.6641i | −1.33655 | − | 1.82143i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 62.5133 | + | 45.4186i | 2.15949 | + | 1.56896i | ||||
\(839\) | 11.5953 | − | 35.6865i | 0.400312 | − | 1.23204i | −0.524434 | − | 0.851451i | \(-0.675723\pi\) |
0.924746 | − | 0.380584i | \(-0.124277\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −59.3574 | + | 43.1257i | −2.04681 | + | 1.48709i | ||||
\(842\) | 26.9273 | − | 19.5638i | 0.927976 | − | 0.674214i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −13.7158 | + | 42.2128i | −0.472116 | + | 1.45302i | ||||
\(845\) | −9.75019 | − | 7.08392i | −0.335417 | − | 0.243694i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −2.12870 | + | 0.0201412i | −0.0731431 | + | 0.000692058i | ||||
\(848\) | 13.9186 | 0.477966 | ||||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 1.94776 | − | 5.99460i | 0.0668077 | − | 0.205613i | ||||
\(851\) | 8.47347 | + | 26.0787i | 0.290467 | + | 0.893965i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 21.8533 | − | 15.8774i | 0.748244 | − | 0.543631i | −0.147038 | − | 0.989131i | \(-0.546974\pi\) |
0.895282 | + | 0.445500i | \(0.146974\pi\) | |||||||
\(854\) | 0.169901 | + | 0.522900i | 0.00581388 | + | 0.0178933i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 14.4280 | + | 10.4826i | 0.493140 | + | 0.358287i | ||||
\(857\) | 2.51515 | 0.0859159 | 0.0429580 | − | 0.999077i | \(-0.486322\pi\) | ||||
0.0429580 | + | 0.999077i | \(0.486322\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 6.70885 | 0.228903 | 0.114451 | − | 0.993429i | \(-0.463489\pi\) | ||||
0.114451 | + | 0.993429i | \(0.463489\pi\) | |||||||
\(860\) | 14.6828 | + | 10.6677i | 0.500680 | + | 0.363765i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −13.9079 | − | 42.8041i | −0.473705 | − | 1.45791i | ||||
\(863\) | −2.67577 | + | 1.94406i | −0.0910844 | + | 0.0661767i | −0.632395 | − | 0.774646i | \(-0.717928\pi\) |
0.541311 | + | 0.840822i | \(0.317928\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −6.29145 | − | 19.3631i | −0.213916 | − | 0.658365i | ||||
\(866\) | 11.0065 | − | 33.8746i | 0.374017 | − | 1.15111i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −1.72082 | −0.0584086 | ||||||||
\(869\) | −0.159299 | − | 33.6731i | −0.00540384 | − | 1.14228i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −2.56744 | − | 1.86535i | −0.0869942 | − | 0.0632050i | ||||
\(872\) | −8.48027 | + | 26.0996i | −0.287178 | + | 0.883844i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 50.7669 | − | 36.8843i | 1.71722 | − | 1.24763i | ||||
\(875\) | 0.156567 | − | 0.113752i | 0.00529292 | − | 0.00384553i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 9.91956 | − | 30.5293i | 0.334960 | − | 1.03090i | −0.631782 | − | 0.775146i | \(-0.717676\pi\) |
0.966742 | − | 0.255754i | \(-0.0823238\pi\) | |||||||
\(878\) | −70.8269 | − | 51.4587i | −2.39029 | − | 1.73665i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −4.71917 | + | 1.55807i | −0.159083 | + | 0.0525226i | ||||
\(881\) | 35.2547 | 1.18776 | 0.593881 | − | 0.804553i | \(-0.297595\pi\) | ||||
0.593881 | + | 0.804553i | \(0.297595\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −0.140866 | + | 0.433541i | −0.00474052 | + | 0.0145898i | −0.953399 | − | 0.301713i | \(-0.902442\pi\) |
0.948658 | + | 0.316303i | \(0.102442\pi\) | |||||||
\(884\) | 2.85746 | + | 8.79436i | 0.0961068 | + | 0.295786i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −5.26090 | + | 3.82226i | −0.176743 | + | 0.128411i | ||||
\(887\) | 0.556725 | + | 1.71342i | 0.0186930 | + | 0.0575312i | 0.959968 | − | 0.280110i | \(-0.0903710\pi\) |
−0.941275 | + | 0.337641i | \(0.890371\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −1.11166 | − | 0.807666i | −0.0372838 | − | 0.0270882i | ||||
\(890\) | 17.2970 | 0.579797 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −19.0794 | −0.638824 | ||||||||
\(893\) | 48.7203 | + | 35.3973i | 1.63036 | + | 1.18453i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 1.19008 | + | 3.66268i | 0.0397799 | + | 0.122430i | ||||
\(896\) | 3.19970 | − | 2.32471i | 0.106894 | − | 0.0776633i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 13.0055 | + | 40.0269i | 0.434001 | + | 1.33572i | ||||
\(899\) | −7.83308 | + | 24.1077i | −0.261248 | + | 0.804038i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 24.8541 | 0.828009 | ||||||||
\(902\) | −61.6080 | − | 19.6959i | −2.05132 | − | 0.655803i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 59.7092 | + | 43.3813i | 1.98590 | + | 1.44284i | ||||
\(905\) | 5.44337 | − | 16.7530i | 0.180944 | − | 0.556887i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 28.5962 | − | 20.7764i | 0.949522 | − | 0.689868i | −0.00117159 | − | 0.999999i | \(-0.500373\pi\) |
0.950694 | + | 0.310131i | \(0.100373\pi\) | |||||||
\(908\) | −62.4605 | + | 45.3802i | −2.07282 | + | 1.50600i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −0.137173 | + | 0.422175i | −0.00454724 | + | 0.0139950i | ||||
\(911\) | −1.33388 | − | 0.969123i | −0.0441935 | − | 0.0321085i | 0.565469 | − | 0.824769i | \(-0.308695\pi\) |
−0.609663 | + | 0.792661i | \(0.708695\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 26.2682 | + | 8.39789i | 0.869352 | + | 0.277930i | ||||
\(914\) | −49.8511 | −1.64893 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 2.92918 | − | 9.01510i | 0.0967829 | − | 0.297867i | ||||
\(917\) | 0.149522 | + | 0.460182i | 0.00493765 | + | 0.0151965i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 0.258068 | − | 0.187498i | 0.00851288 | − | 0.00618497i | −0.583521 | − | 0.812098i | \(-0.698325\pi\) |
0.592034 | + | 0.805913i | \(0.298325\pi\) | |||||||
\(920\) | −5.41356 | − | 16.6612i | −0.178480 | − | 0.549304i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −65.4590 | − | 47.5588i | −2.15578 | − | 1.56626i | ||||
\(923\) | −5.83327 | −0.192005 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 5.71217 | 0.187815 | ||||||||
\(926\) | −19.9185 | − | 14.4716i | −0.654561 | − | 0.475567i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −11.7841 | − | 36.2678i | −0.386832 | − | 1.19055i | ||||
\(929\) | 45.4270 | − | 33.0046i | 1.49041 | − | 1.08285i | 0.516400 | − | 0.856347i | \(-0.327272\pi\) |
0.974011 | − | 0.226500i | \(-0.0727283\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 11.9394 | + | 36.7456i | 0.391297 | + | 1.20429i | ||||
\(932\) | 6.28115 | − | 19.3314i | 0.205746 | − | 0.633221i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −69.8301 | −2.28491 | ||||||||
\(935\) | −8.42690 | + | 2.78221i | −0.275589 | + | 0.0909880i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −29.8061 | − | 21.6554i | −0.973724 | − | 0.707452i | −0.0174269 | − | 0.999848i | \(-0.505547\pi\) |
−0.956297 | + | 0.292396i | \(0.905547\pi\) | |||||||
\(938\) | 0.459148 | − | 1.41311i | 0.0149917 | − | 0.0461397i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 31.1609 | − | 22.6397i | 1.01636 | − | 0.738426i | ||||
\(941\) | −12.3865 | + | 8.99929i | −0.403787 | + | 0.293368i | −0.771082 | − | 0.636736i | \(-0.780284\pi\) |
0.367295 | + | 0.930105i | \(0.380284\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 12.2805 | − | 37.7956i | 0.399909 | − | 1.23079i | ||||
\(944\) | −13.5991 | − | 9.88030i | −0.442612 | − | 0.321576i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −0.188998 | − | 39.9510i | −0.00614486 | − | 1.29892i | ||||
\(947\) | 22.6654 | 0.736526 | 0.368263 | − | 0.929722i | \(-0.379953\pi\) | ||||
0.368263 | + | 0.929722i | \(0.379953\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 0.994821 | − | 3.06174i | 0.0322933 | − | 0.0993884i | ||||
\(950\) | −4.03950 | − | 12.4323i | −0.131059 | − | 0.403358i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −1.52884 | + | 1.11076i | −0.0495499 | + | 0.0360001i | ||||
\(953\) | −12.1544 | − | 37.4074i | −0.393719 | − | 1.21174i | −0.929955 | − | 0.367675i | \(-0.880154\pi\) |
0.536235 | − | 0.844069i | \(-0.319846\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −0.337440 | − | 0.245165i | −0.0109193 | − | 0.00793334i | ||||
\(956\) | 86.4870 | 2.79719 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 31.1388 | 1.00605 | ||||||||
\(959\) | −2.39459 | − | 1.73977i | −0.0773254 | − | 0.0561802i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −7.63993 | − | 23.5133i | −0.246449 | − | 0.758493i | ||||
\(962\) | −10.5999 | + | 7.70130i | −0.341756 | + | 0.248300i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −18.3249 | − | 56.3984i | −0.590207 | − | 1.81647i | ||||
\(965\) | −3.61443 | + | 11.1241i | −0.116353 | + | 0.358096i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 3.06103 | 0.0984360 | 0.0492180 | − | 0.998788i | \(-0.484327\pi\) | ||||
0.0492180 | + | 0.998788i | \(0.484327\pi\) | |||||||
\(968\) | 32.6986 | + | 23.2875i | 1.05097 | + | 0.748487i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −30.2110 | − | 21.9496i | −0.970016 | − | 0.704758i | ||||
\(971\) | −9.90043 | + | 30.4704i | −0.317720 | + | 0.977841i | 0.656900 | + | 0.753977i | \(0.271867\pi\) |
−0.974620 | + | 0.223864i | \(0.928133\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 3.07788 | − | 2.23621i | 0.0986724 | − | 0.0716897i | ||||
\(974\) | 80.9911 | − | 58.8434i | 2.59512 | − | 1.88547i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 0.558436 | − | 1.71869i | 0.0178751 | − | 0.0550139i | ||||
\(977\) | −43.0366 | − | 31.2679i | −1.37686 | − | 1.00035i | −0.997166 | − | 0.0752388i | \(-0.976028\pi\) |
−0.379697 | − | 0.925111i | \(-0.623972\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −14.4074 | − | 19.6340i | −0.460462 | − | 0.627507i | ||||
\(980\) | 24.7115 | 0.789379 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 11.4619 | − | 35.2762i | 0.365765 | − | 1.12571i | ||||
\(983\) | 7.57104 | + | 23.3013i | 0.241479 | + | 0.743195i | 0.996196 | + | 0.0871446i | \(0.0277742\pi\) |
−0.754717 | + | 0.656051i | \(0.772226\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −17.4714 | + | 12.6937i | −0.556685 | + | 0.404456i | ||||
\(986\) | 19.7071 | + | 60.6521i | 0.627601 | + | 1.93156i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 15.5149 | + | 11.2722i | 0.493593 | + | 0.358616i | ||||
\(989\) | 24.5470 | 0.780549 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −6.34819 | −0.201657 | −0.100828 | − | 0.994904i | \(-0.532149\pi\) | ||||
−0.100828 | + | 0.994904i | \(0.532149\pi\) | |||||||
\(992\) | −7.63924 | − | 5.55023i | −0.242546 | − | 0.176220i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −0.843962 | − | 2.59745i | −0.0267689 | − | 0.0823861i | ||||
\(995\) | 6.27820 | − | 4.56138i | 0.199032 | − | 0.144605i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −8.01777 | − | 24.6761i | −0.253925 | − | 0.781501i | −0.994040 | − | 0.109020i | \(-0.965229\pi\) |
0.740114 | − | 0.672481i | \(-0.234771\pi\) | |||||||
\(998\) | −24.4064 | + | 75.1152i | −0.772572 | + | 2.37773i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 495.2.n.a.136.1 | 8 | ||
3.2 | odd | 2 | 165.2.m.d.136.2 | yes | 8 | ||
11.3 | even | 5 | inner | 495.2.n.a.91.1 | 8 | ||
11.5 | even | 5 | 5445.2.a.bt.1.4 | 4 | |||
11.6 | odd | 10 | 5445.2.a.bf.1.1 | 4 | |||
15.2 | even | 4 | 825.2.bx.f.499.1 | 16 | |||
15.8 | even | 4 | 825.2.bx.f.499.4 | 16 | |||
15.14 | odd | 2 | 825.2.n.g.301.1 | 8 | |||
33.5 | odd | 10 | 1815.2.a.p.1.1 | 4 | |||
33.14 | odd | 10 | 165.2.m.d.91.2 | ✓ | 8 | ||
33.17 | even | 10 | 1815.2.a.w.1.4 | 4 | |||
165.14 | odd | 10 | 825.2.n.g.751.1 | 8 | |||
165.47 | even | 20 | 825.2.bx.f.124.4 | 16 | |||
165.104 | odd | 10 | 9075.2.a.di.1.4 | 4 | |||
165.113 | even | 20 | 825.2.bx.f.124.1 | 16 | |||
165.149 | even | 10 | 9075.2.a.cm.1.1 | 4 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
165.2.m.d.91.2 | ✓ | 8 | 33.14 | odd | 10 | ||
165.2.m.d.136.2 | yes | 8 | 3.2 | odd | 2 | ||
495.2.n.a.91.1 | 8 | 11.3 | even | 5 | inner | ||
495.2.n.a.136.1 | 8 | 1.1 | even | 1 | trivial | ||
825.2.n.g.301.1 | 8 | 15.14 | odd | 2 | |||
825.2.n.g.751.1 | 8 | 165.14 | odd | 10 | |||
825.2.bx.f.124.1 | 16 | 165.113 | even | 20 | |||
825.2.bx.f.124.4 | 16 | 165.47 | even | 20 | |||
825.2.bx.f.499.1 | 16 | 15.2 | even | 4 | |||
825.2.bx.f.499.4 | 16 | 15.8 | even | 4 | |||
1815.2.a.p.1.1 | 4 | 33.5 | odd | 10 | |||
1815.2.a.w.1.4 | 4 | 33.17 | even | 10 | |||
5445.2.a.bf.1.1 | 4 | 11.6 | odd | 10 | |||
5445.2.a.bt.1.4 | 4 | 11.5 | even | 5 | |||
9075.2.a.cm.1.1 | 4 | 165.149 | even | 10 | |||
9075.2.a.di.1.4 | 4 | 165.104 | odd | 10 |