Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [64,2,Mod(5,64)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(64, base_ring=CyclotomicField(16))
chi = DirichletCharacter(H, H._module([0, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("64.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 64 = 2^{6} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 64.i (of order \(16\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.511042572936\) |
Analytic rank: | \(0\) |
Dimension: | \(56\) |
Relative dimension: | \(7\) over \(\Q(\zeta_{16})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{16}]$ |
Embedding invariants
Embedding label | 29.6 | ||
Character | \(\chi\) | \(=\) | 64.29 |
Dual form | 64.2.i.a.53.6 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/64\mathbb{Z}\right)^\times\).
\(n\) | \(5\) | \(63\) |
\(\chi(n)\) | \(e\left(\frac{11}{16}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.468362 | − | 1.33441i | 0.331182 | − | 0.943567i | ||||
\(3\) | −2.98137 | − | 0.593031i | −1.72129 | − | 0.342386i | −0.767088 | − | 0.641542i | \(-0.778295\pi\) |
−0.954204 | + | 0.299155i | \(0.903295\pi\) | |||||||
\(4\) | −1.56127 | − | 1.24997i | −0.780637 | − | 0.624985i | ||||
\(5\) | 0.914126 | − | 1.36809i | 0.408810 | − | 0.611827i | −0.568744 | − | 0.822515i | \(-0.692570\pi\) |
0.977553 | + | 0.210688i | \(0.0675704\pi\) | |||||||
\(6\) | −2.18770 | + | 3.70060i | −0.893126 | + | 1.51076i | ||||
\(7\) | 2.65574 | − | 1.10004i | 1.00378 | − | 0.415778i | 0.180596 | − | 0.983557i | \(-0.442197\pi\) |
0.823181 | + | 0.567779i | \(0.192197\pi\) | |||||||
\(8\) | −2.39921 | + | 1.49793i | −0.848248 | + | 0.529599i | ||||
\(9\) | 5.76522 | + | 2.38803i | 1.92174 | + | 0.796011i | ||||
\(10\) | −1.39744 | − | 1.86057i | −0.441909 | − | 0.588365i | ||||
\(11\) | 0.246413 | + | 1.23880i | 0.0742963 | + | 0.373513i | 0.999989 | − | 0.00476447i | \(-0.00151658\pi\) |
−0.925692 | + | 0.378277i | \(0.876517\pi\) | |||||||
\(12\) | 3.91346 | + | 4.65250i | 1.12972 | + | 1.34306i | ||||
\(13\) | 0.319413 | + | 0.478036i | 0.0885893 | + | 0.132583i | 0.873117 | − | 0.487510i | \(-0.162095\pi\) |
−0.784528 | + | 0.620093i | \(0.787095\pi\) | |||||||
\(14\) | −0.224055 | − | 4.05906i | −0.0598813 | − | 1.08483i | ||||
\(15\) | −3.53666 | + | 3.53666i | −0.913162 | + | 0.913162i | ||||
\(16\) | 0.875149 | + | 3.90309i | 0.218787 | + | 0.975773i | ||||
\(17\) | −3.38390 | − | 3.38390i | −0.820715 | − | 0.820715i | 0.165495 | − | 0.986211i | \(-0.447078\pi\) |
−0.986211 | + | 0.165495i | \(0.947078\pi\) | |||||||
\(18\) | 5.88682 | − | 6.57468i | 1.38754 | − | 1.54967i | ||||
\(19\) | 4.19561 | − | 2.80342i | 0.962539 | − | 0.643148i | 0.0282261 | − | 0.999602i | \(-0.491014\pi\) |
0.934313 | + | 0.356453i | \(0.116014\pi\) | |||||||
\(20\) | −3.13727 | + | 0.993326i | −0.701514 | + | 0.222115i | ||||
\(21\) | −8.57011 | + | 1.70470i | −1.87015 | + | 0.371996i | ||||
\(22\) | 1.76847 | + | 0.251393i | 0.377040 | + | 0.0535972i | ||||
\(23\) | 0.178010 | − | 0.429755i | 0.0371177 | − | 0.0896101i | −0.904234 | − | 0.427038i | \(-0.859557\pi\) |
0.941351 | + | 0.337428i | \(0.109557\pi\) | |||||||
\(24\) | 8.04124 | − | 3.04308i | 1.64141 | − | 0.621166i | ||||
\(25\) | 0.877384 | + | 2.11819i | 0.175477 | + | 0.423638i | ||||
\(26\) | 0.787494 | − | 0.202333i | 0.154440 | − | 0.0396807i | ||||
\(27\) | −8.18962 | − | 5.47213i | −1.57609 | − | 1.05311i | ||||
\(28\) | −5.52137 | − | 1.60213i | −1.04344 | − | 0.302774i | ||||
\(29\) | −1.02242 | + | 5.14005i | −0.189858 | + | 0.954483i | 0.761914 | + | 0.647678i | \(0.224260\pi\) |
−0.951773 | + | 0.306805i | \(0.900740\pi\) | |||||||
\(30\) | 3.06290 | + | 6.37578i | 0.559206 | + | 1.16405i | ||||
\(31\) | 10.0065i | 1.79722i | 0.438743 | + | 0.898612i | \(0.355424\pi\) | ||||
−0.438743 | + | 0.898612i | \(0.644576\pi\) | |||||||
\(32\) | 5.61819 | + | 0.660257i | 0.993165 | + | 0.116718i | ||||
\(33\) | − | 3.83945i | − | 0.668363i | ||||||
\(34\) | −6.10038 | + | 2.93060i | −1.04621 | + | 0.502593i | ||||
\(35\) | 0.922728 | − | 4.63887i | 0.155969 | − | 0.784111i | ||||
\(36\) | −6.01612 | − | 10.9347i | −1.00269 | − | 1.82245i | ||||
\(37\) | 0.447703 | + | 0.299146i | 0.0736019 | + | 0.0491792i | 0.591827 | − | 0.806065i | \(-0.298407\pi\) |
−0.518225 | + | 0.855244i | \(0.673407\pi\) | |||||||
\(38\) | −1.77583 | − | 6.91166i | −0.288077 | − | 1.12122i | ||||
\(39\) | −0.668798 | − | 1.61462i | −0.107093 | − | 0.258546i | ||||
\(40\) | −0.143878 | + | 4.65162i | −0.0227491 | + | 0.735486i | ||||
\(41\) | 2.44115 | − | 5.89346i | 0.381244 | − | 0.920404i | −0.610482 | − | 0.792030i | \(-0.709024\pi\) |
0.991726 | − | 0.128374i | \(-0.0409757\pi\) | |||||||
\(42\) | −1.73915 | + | 12.2344i | −0.268357 | + | 1.88781i | ||||
\(43\) | 3.80641 | − | 0.757142i | 0.580472 | − | 0.115463i | 0.103883 | − | 0.994589i | \(-0.466873\pi\) |
0.476589 | + | 0.879126i | \(0.341873\pi\) | |||||||
\(44\) | 1.16375 | − | 2.24212i | 0.175441 | − | 0.338012i | ||||
\(45\) | 8.53718 | − | 5.70436i | 1.27265 | − | 0.850355i | ||||
\(46\) | −0.490094 | − | 0.438819i | −0.0722604 | − | 0.0647003i | ||||
\(47\) | −5.99084 | − | 5.99084i | −0.873854 | − | 0.873854i | 0.119036 | − | 0.992890i | \(-0.462020\pi\) |
−0.992890 | + | 0.119036i | \(0.962020\pi\) | |||||||
\(48\) | −0.294489 | − | 12.1555i | −0.0425058 | − | 1.75450i | ||||
\(49\) | 0.893127 | − | 0.893127i | 0.127590 | − | 0.127590i | ||||
\(50\) | 3.23746 | − | 0.178704i | 0.457846 | − | 0.0252726i | ||||
\(51\) | 8.08188 | + | 12.0954i | 1.13169 | + | 1.69369i | ||||
\(52\) | 0.0988389 | − | 1.14560i | 0.0137065 | − | 0.158866i | ||||
\(53\) | 0.810472 | + | 4.07452i | 0.111327 | + | 0.559678i | 0.995679 | + | 0.0928581i | \(0.0296003\pi\) |
−0.884353 | + | 0.466820i | \(0.845400\pi\) | |||||||
\(54\) | −11.1378 | + | 8.36533i | −1.51566 | + | 1.13838i | ||||
\(55\) | 1.92004 | + | 0.795307i | 0.258898 | + | 0.107239i | ||||
\(56\) | −4.72389 | + | 6.61736i | −0.631256 | + | 0.884282i | ||||
\(57\) | −14.1712 | + | 5.86989i | −1.87702 | + | 0.777486i | ||||
\(58\) | 6.38004 | + | 3.77172i | 0.837740 | + | 0.495252i | ||||
\(59\) | −1.03615 | + | 1.55070i | −0.134895 | + | 0.201884i | −0.892767 | − | 0.450519i | \(-0.851239\pi\) |
0.757872 | + | 0.652403i | \(0.226239\pi\) | |||||||
\(60\) | 9.94242 | − | 1.10097i | 1.28356 | − | 0.142135i | ||||
\(61\) | −6.47490 | − | 1.28794i | −0.829026 | − | 0.164903i | −0.237702 | − | 0.971338i | \(-0.576394\pi\) |
−0.591323 | + | 0.806435i | \(0.701394\pi\) | |||||||
\(62\) | 13.3528 | + | 4.68668i | 1.69580 | + | 0.595209i | ||||
\(63\) | 17.9379 | 2.25996 | ||||||||
\(64\) | 3.51240 | − | 7.18770i | 0.439050 | − | 0.898463i | ||||
\(65\) | 0.945978 | 0.117334 | ||||||||
\(66\) | −5.12339 | − | 1.79826i | −0.630645 | − | 0.221350i | ||||
\(67\) | 6.01983 | + | 1.19742i | 0.735439 | + | 0.146288i | 0.548579 | − | 0.836099i | \(-0.315169\pi\) |
0.186860 | + | 0.982387i | \(0.440169\pi\) | |||||||
\(68\) | 1.05342 | + | 9.51296i | 0.127746 | + | 1.15362i | ||||
\(69\) | −0.785572 | + | 1.17569i | −0.0945718 | + | 0.141537i | ||||
\(70\) | −5.75795 | − | 3.40396i | −0.688207 | − | 0.406851i | ||||
\(71\) | −4.20400 | + | 1.74136i | −0.498924 | + | 0.206661i | −0.617931 | − | 0.786232i | \(-0.712029\pi\) |
0.119007 | + | 0.992893i | \(0.462029\pi\) | |||||||
\(72\) | −17.4091 | + | 2.90652i | −2.05168 | + | 0.342537i | ||||
\(73\) | −0.911379 | − | 0.377506i | −0.106669 | − | 0.0441837i | 0.328711 | − | 0.944431i | \(-0.393386\pi\) |
−0.435380 | + | 0.900247i | \(0.643386\pi\) | |||||||
\(74\) | 0.608868 | − | 0.457308i | 0.0707795 | − | 0.0531610i | ||||
\(75\) | −1.35965 | − | 6.83542i | −0.156999 | − | 0.789286i | ||||
\(76\) | −10.0547 | − | 0.867487i | −1.15335 | − | 0.0995076i | ||||
\(77\) | 2.01715 | + | 3.01887i | 0.229875 | + | 0.344033i | ||||
\(78\) | −2.46780 | + | 0.136220i | −0.279423 | + | 0.0154238i | ||||
\(79\) | 0.152459 | − | 0.152459i | 0.0171530 | − | 0.0171530i | −0.698478 | − | 0.715631i | \(-0.746139\pi\) |
0.715631 | + | 0.698478i | \(0.246139\pi\) | |||||||
\(80\) | 6.13976 | + | 2.37064i | 0.686446 | + | 0.265045i | ||||
\(81\) | 7.93360 | + | 7.93360i | 0.881511 | + | 0.881511i | ||||
\(82\) | −6.72092 | − | 6.01776i | −0.742201 | − | 0.664550i | ||||
\(83\) | −5.16472 | + | 3.45096i | −0.566902 | + | 0.378792i | −0.805741 | − | 0.592267i | \(-0.798233\pi\) |
0.238840 | + | 0.971059i | \(0.423233\pi\) | |||||||
\(84\) | 15.5111 | + | 8.05087i | 1.69240 | + | 0.878422i | ||||
\(85\) | −7.72277 | + | 1.53615i | −0.837652 | + | 0.166619i | ||||
\(86\) | 0.772445 | − | 5.43391i | 0.0832949 | − | 0.585954i | ||||
\(87\) | 6.09641 | − | 14.7180i | 0.653604 | − | 1.57794i | ||||
\(88\) | −2.44684 | − | 2.60303i | −0.260834 | − | 0.277484i | ||||
\(89\) | 1.48745 | + | 3.59102i | 0.157669 | + | 0.380648i | 0.982898 | − | 0.184151i | \(-0.0589537\pi\) |
−0.825228 | + | 0.564799i | \(0.808954\pi\) | |||||||
\(90\) | −3.61343 | − | 14.0638i | −0.380889 | − | 1.48245i | ||||
\(91\) | 1.37414 | + | 0.918171i | 0.144049 | + | 0.0962505i | ||||
\(92\) | −0.815104 | + | 0.448458i | −0.0849805 | + | 0.0467549i | ||||
\(93\) | 5.93418 | − | 29.8331i | 0.615345 | − | 3.09355i | ||||
\(94\) | −10.8001 | + | 5.18832i | −1.11394 | + | 0.535135i | ||||
\(95\) | − | 8.30263i | − | 0.851832i | ||||||
\(96\) | −16.3583 | − | 5.30023i | −1.66957 | − | 0.540952i | ||||
\(97\) | − | 13.7742i | − | 1.39856i | −0.714849 | − | 0.699279i | \(-0.753505\pi\) | ||
0.714849 | − | 0.699279i | \(-0.246495\pi\) | |||||||
\(98\) | −0.773486 | − | 1.61010i | −0.0781339 | − | 0.162645i | ||||
\(99\) | −1.53767 | + | 7.73041i | −0.154542 | + | 0.776936i | ||||
\(100\) | 1.27784 | − | 4.40378i | 0.127784 | − | 0.440378i | ||||
\(101\) | 3.34129 | + | 2.23258i | 0.332470 | + | 0.222150i | 0.710589 | − | 0.703608i | \(-0.248429\pi\) |
−0.378118 | + | 0.925757i | \(0.623429\pi\) | |||||||
\(102\) | 19.9254 | − | 5.11948i | 1.97291 | − | 0.506904i | ||||
\(103\) | 3.02140 | + | 7.29430i | 0.297707 | + | 0.718728i | 0.999977 | + | 0.00681740i | \(0.00217006\pi\) |
−0.702270 | + | 0.711911i | \(0.747830\pi\) | |||||||
\(104\) | −1.48240 | − | 0.668448i | −0.145362 | − | 0.0655467i | ||||
\(105\) | −5.50198 | + | 13.2830i | −0.536938 | + | 1.29628i | ||||
\(106\) | 5.81665 | + | 0.826852i | 0.564963 | + | 0.0803110i | ||||
\(107\) | −5.40913 | + | 1.07594i | −0.522920 | + | 0.104015i | −0.449490 | − | 0.893285i | \(-0.648394\pi\) |
−0.0734296 | + | 0.997300i | \(0.523394\pi\) | |||||||
\(108\) | 5.94624 | + | 18.7803i | 0.572177 | + | 1.80713i | ||||
\(109\) | −3.62995 | + | 2.42545i | −0.347686 | + | 0.232316i | −0.717134 | − | 0.696935i | \(-0.754547\pi\) |
0.369448 | + | 0.929251i | \(0.379547\pi\) | |||||||
\(110\) | 1.96054 | − | 2.18962i | 0.186930 | − | 0.208772i | ||||
\(111\) | −1.15736 | − | 1.15736i | −0.109852 | − | 0.109852i | ||||
\(112\) | 6.61775 | + | 9.40290i | 0.625318 | + | 0.888491i | ||||
\(113\) | −11.6929 | + | 11.6929i | −1.09998 | + | 1.09998i | −0.105567 | + | 0.994412i | \(0.533666\pi\) |
−0.994412 | + | 0.105567i | \(0.966334\pi\) | |||||||
\(114\) | 1.19557 | + | 21.6593i | 0.111975 | + | 2.02858i | ||||
\(115\) | −0.425218 | − | 0.636384i | −0.0396518 | − | 0.0593431i | ||||
\(116\) | 8.02118 | − | 6.74702i | 0.744748 | − | 0.626445i | ||||
\(117\) | 0.699923 | + | 3.51875i | 0.0647079 | + | 0.325309i | ||||
\(118\) | 1.58397 | + | 2.10893i | 0.145816 | + | 0.194142i | ||||
\(119\) | −12.7092 | − | 5.26432i | −1.16505 | − | 0.482580i | ||||
\(120\) | 3.18751 | − | 13.7829i | 0.290978 | − | 1.25820i | ||||
\(121\) | 8.68876 | − | 3.59900i | 0.789888 | − | 0.327182i | ||||
\(122\) | −4.75123 | + | 8.03691i | −0.430156 | + | 0.727628i | ||||
\(123\) | −10.7730 | + | 16.1229i | −0.971366 | + | 1.45375i | ||||
\(124\) | 12.5079 | − | 15.6229i | 1.12324 | − | 1.40298i | ||||
\(125\) | 11.7687 | + | 2.34095i | 1.05263 | + | 0.209381i | ||||
\(126\) | 8.40144 | − | 23.9364i | 0.748459 | − | 2.13243i | ||||
\(127\) | −21.9517 | −1.94790 | −0.973949 | − | 0.226767i | \(-0.927185\pi\) | ||||
−0.973949 | + | 0.226767i | \(0.927185\pi\) | |||||||
\(128\) | −7.94623 | − | 8.05341i | −0.702354 | − | 0.711828i | ||||
\(129\) | −11.7973 | −1.03870 | ||||||||
\(130\) | 0.443060 | − | 1.26232i | 0.0388590 | − | 0.110713i | ||||
\(131\) | −7.05871 | − | 1.40406i | −0.616722 | − | 0.122674i | −0.123164 | − | 0.992386i | \(-0.539304\pi\) |
−0.493558 | + | 0.869713i | \(0.664304\pi\) | |||||||
\(132\) | −4.79920 | + | 5.99444i | −0.417717 | + | 0.521749i | ||||
\(133\) | 8.05858 | − | 12.0605i | 0.698768 | − | 1.04578i | ||||
\(134\) | 4.41730 | − | 7.47207i | 0.381597 | − | 0.645488i | ||||
\(135\) | −14.9727 | + | 6.20189i | −1.28864 | + | 0.533774i | ||||
\(136\) | 13.1875 | + | 3.04982i | 1.13082 | + | 0.261520i | ||||
\(137\) | 10.2318 | + | 4.23815i | 0.874161 | + | 0.362089i | 0.774229 | − | 0.632905i | \(-0.218138\pi\) |
0.0999315 | + | 0.994994i | \(0.468138\pi\) | |||||||
\(138\) | 1.20092 | + | 1.59892i | 0.102229 | + | 0.136109i | ||||
\(139\) | −0.752410 | − | 3.78262i | −0.0638186 | − | 0.320838i | 0.935668 | − | 0.352882i | \(-0.114798\pi\) |
−0.999486 | + | 0.0320443i | \(0.989798\pi\) | |||||||
\(140\) | −7.23907 | + | 6.08916i | −0.611813 | + | 0.514628i | ||||
\(141\) | 14.3081 | + | 21.4136i | 1.20496 | + | 1.80335i | ||||
\(142\) | 0.354676 | + | 6.42543i | 0.0297638 | + | 0.539210i | ||||
\(143\) | −0.513484 | + | 0.513484i | −0.0429397 | + | 0.0429397i | ||||
\(144\) | −4.27528 | + | 24.5921i | −0.356273 | + | 2.04934i | ||||
\(145\) | 6.09741 | + | 6.09741i | 0.506362 | + | 0.506362i | ||||
\(146\) | −0.930601 | + | 1.03934i | −0.0770171 | + | 0.0860163i | ||||
\(147\) | −3.19239 | + | 2.13309i | −0.263304 | + | 0.175934i | ||||
\(148\) | −0.325064 | − | 1.02666i | −0.0267201 | − | 0.0843912i | ||||
\(149\) | 21.8201 | − | 4.34028i | 1.78757 | − | 0.355569i | 0.813455 | − | 0.581628i | \(-0.197584\pi\) |
0.974114 | + | 0.226059i | \(0.0725841\pi\) | |||||||
\(150\) | −9.75803 | − | 1.38713i | −0.796740 | − | 0.113259i | ||||
\(151\) | 2.99065 | − | 7.22006i | 0.243375 | − | 0.587560i | −0.754239 | − | 0.656600i | \(-0.771994\pi\) |
0.997614 | + | 0.0690406i | \(0.0219938\pi\) | |||||||
\(152\) | −5.86681 | + | 13.0107i | −0.475861 | + | 1.05531i | ||||
\(153\) | −11.4281 | − | 27.5898i | −0.923904 | − | 2.23050i | ||||
\(154\) | 4.97316 | − | 1.27776i | 0.400748 | − | 0.102965i | ||||
\(155\) | 13.6898 | + | 9.14722i | 1.09959 | + | 0.734723i | ||||
\(156\) | −0.974052 | + | 3.35684i | −0.0779865 | + | 0.268762i | ||||
\(157\) | −4.09955 | + | 20.6098i | −0.327180 | + | 1.64484i | 0.370790 | + | 0.928717i | \(0.379087\pi\) |
−0.697970 | + | 0.716127i | \(0.745913\pi\) | |||||||
\(158\) | −0.132036 | − | 0.274849i | −0.0105042 | − | 0.0218658i | ||||
\(159\) | − | 12.6283i | − | 1.00149i | ||||||
\(160\) | 6.03902 | − | 7.08261i | 0.477427 | − | 0.559930i | ||||
\(161\) | − | 1.33714i | − | 0.105381i | ||||||
\(162\) | 14.3024 | − | 6.87083i | 1.12370 | − | 0.539824i | ||||
\(163\) | 3.99966 | − | 20.1077i | 0.313278 | − | 1.57495i | −0.428015 | − | 0.903772i | \(-0.640787\pi\) |
0.741293 | − | 0.671182i | \(-0.234213\pi\) | |||||||
\(164\) | −11.1780 | + | 6.14994i | −0.872851 | + | 0.480229i | ||||
\(165\) | −5.25270 | − | 3.50974i | −0.408922 | − | 0.273233i | ||||
\(166\) | 2.18601 | + | 8.50812i | 0.169667 | + | 0.660359i | ||||
\(167\) | 5.57052 | + | 13.4484i | 0.431060 | + | 1.04067i | 0.978946 | + | 0.204118i | \(0.0654326\pi\) |
−0.547886 | + | 0.836553i | \(0.684567\pi\) | |||||||
\(168\) | 18.0079 | − | 16.9274i | 1.38934 | − | 1.30597i | ||||
\(169\) | 4.84839 | − | 11.7051i | 0.372953 | − | 0.900389i | ||||
\(170\) | −1.56720 | + | 11.0248i | −0.120199 | + | 0.845562i | ||||
\(171\) | 30.8833 | − | 6.14307i | 2.36170 | − | 0.469772i | ||||
\(172\) | −6.88925 | − | 3.57579i | −0.525301 | − | 0.272652i | ||||
\(173\) | −15.4616 | + | 10.3311i | −1.17552 | + | 0.785459i | −0.980727 | − | 0.195384i | \(-0.937405\pi\) |
−0.194796 | + | 0.980844i | \(0.562405\pi\) | |||||||
\(174\) | −16.7845 | − | 15.0285i | −1.27243 | − | 1.13930i | ||||
\(175\) | 4.66021 | + | 4.66021i | 0.352279 | + | 0.352279i | ||||
\(176\) | −4.61951 | + | 2.04591i | −0.348208 | + | 0.154216i | ||||
\(177\) | 4.00874 | − | 4.00874i | 0.301315 | − | 0.301315i | ||||
\(178\) | 5.48854 | − | 0.302961i | 0.411384 | − | 0.0227079i | ||||
\(179\) | −5.99376 | − | 8.97030i | −0.447995 | − | 0.670472i | 0.536896 | − | 0.843648i | \(-0.319597\pi\) |
−0.984891 | + | 0.173177i | \(0.944597\pi\) | |||||||
\(180\) | −20.4591 | − | 1.76515i | −1.52493 | − | 0.131567i | ||||
\(181\) | 0.698076 | + | 3.50946i | 0.0518876 | + | 0.260856i | 0.998018 | − | 0.0629294i | \(-0.0200443\pi\) |
−0.946130 | + | 0.323786i | \(0.895044\pi\) | |||||||
\(182\) | 1.86881 | − | 1.40362i | 0.138525 | − | 0.104043i | ||||
\(183\) | 18.5403 | + | 7.67963i | 1.37054 | + | 0.567694i | ||||
\(184\) | 0.216660 | + | 1.29772i | 0.0159724 | + | 0.0956691i | ||||
\(185\) | 0.818514 | − | 0.339039i | 0.0601783 | − | 0.0249267i | ||||
\(186\) | −37.0301 | − | 21.8913i | −2.71518 | − | 1.60515i | ||||
\(187\) | 3.35814 | − | 5.02581i | 0.245572 | − | 0.367524i | ||||
\(188\) | 1.86497 | + | 16.8417i | 0.136017 | + | 1.22831i | ||||
\(189\) | −27.7691 | − | 5.52362i | −2.01991 | − | 0.401784i | ||||
\(190\) | −11.0791 | − | 3.88864i | −0.803761 | − | 0.282112i | ||||
\(191\) | −0.722126 | −0.0522512 | −0.0261256 | − | 0.999659i | \(-0.508317\pi\) | ||||
−0.0261256 | + | 0.999659i | \(0.508317\pi\) | |||||||
\(192\) | −14.7343 | + | 19.3462i | −1.06335 | + | 1.39619i | ||||
\(193\) | −5.30778 | −0.382063 | −0.191031 | − | 0.981584i | \(-0.561183\pi\) | ||||
−0.191031 | + | 0.981584i | \(0.561183\pi\) | |||||||
\(194\) | −18.3804 | − | 6.45131i | −1.31963 | − | 0.463177i | ||||
\(195\) | −2.82031 | − | 0.560994i | −0.201966 | − | 0.0401736i | ||||
\(196\) | −2.51080 | + | 0.278034i | −0.179343 | + | 0.0198595i | ||||
\(197\) | 8.28629 | − | 12.4013i | 0.590373 | − | 0.883556i | −0.409209 | − | 0.912441i | \(-0.634195\pi\) |
0.999583 | + | 0.0288843i | \(0.00919543\pi\) | |||||||
\(198\) | 9.59531 | + | 5.67251i | 0.681909 | + | 0.403128i | ||||
\(199\) | −0.443861 | + | 0.183853i | −0.0314644 | + | 0.0130330i | −0.398360 | − | 0.917229i | \(-0.630421\pi\) |
0.366896 | + | 0.930262i | \(0.380421\pi\) | |||||||
\(200\) | −5.27793 | − | 3.76772i | −0.373206 | − | 0.266418i | ||||
\(201\) | −17.2372 | − | 7.13989i | −1.21582 | − | 0.503609i | ||||
\(202\) | 4.54409 | − | 3.41297i | 0.319721 | − | 0.240136i | ||||
\(203\) | 2.93900 | + | 14.7753i | 0.206277 | + | 1.03703i | ||||
\(204\) | 2.50085 | − | 28.9863i | 0.175094 | − | 2.02945i | ||||
\(205\) | −5.83124 | − | 8.72707i | −0.407272 | − | 0.609525i | ||||
\(206\) | 11.1487 | − | 0.615393i | 0.776764 | − | 0.0428765i | ||||
\(207\) | 2.05254 | − | 2.05254i | 0.142661 | − | 0.142661i | ||||
\(208\) | −1.58628 | + | 1.66505i | −0.109989 | + | 0.115451i | ||||
\(209\) | 4.50673 | + | 4.50673i | 0.311737 | + | 0.311737i | ||||
\(210\) | 15.1479 | + | 13.5631i | 1.04531 | + | 0.935943i | ||||
\(211\) | −12.2014 | + | 8.15273i | −0.839980 | + | 0.561257i | −0.899475 | − | 0.436972i | \(-0.856051\pi\) |
0.0594948 | + | 0.998229i | \(0.481051\pi\) | |||||||
\(212\) | 3.82766 | − | 7.37450i | 0.262884 | − | 0.506483i | ||||
\(213\) | 13.5664 | − | 2.69852i | 0.929551 | − | 0.184899i | ||||
\(214\) | −1.09769 | + | 7.72190i | −0.0750365 | + | 0.527858i | ||||
\(215\) | 2.44370 | − | 5.89962i | 0.166659 | − | 0.402351i | ||||
\(216\) | 27.8455 | + | 0.861281i | 1.89465 | + | 0.0586028i | ||||
\(217\) | 11.0076 | + | 26.5748i | 0.747246 | + | 1.80401i | ||||
\(218\) | 1.53641 | + | 5.97982i | 0.104059 | + | 0.405004i | ||||
\(219\) | 2.49328 | + | 1.66596i | 0.168480 | + | 0.112575i | ||||
\(220\) | −2.00360 | − | 3.64168i | −0.135083 | − | 0.245522i | ||||
\(221\) | 0.536762 | − | 2.69848i | 0.0361065 | − | 0.181520i | ||||
\(222\) | −2.08646 | + | 1.00233i | −0.140034 | + | 0.0672718i | ||||
\(223\) | 20.5439i | 1.37572i | 0.725843 | + | 0.687860i | \(0.241450\pi\) | ||||
−0.725843 | + | 0.687860i | \(0.758550\pi\) | |||||||
\(224\) | 15.6468 | − | 4.42679i | 1.04544 | − | 0.295777i | ||||
\(225\) | 14.3071i | 0.953804i | ||||||||
\(226\) | 10.1266 | + | 21.0796i | 0.673610 | + | 1.40220i | ||||
\(227\) | 3.83215 | − | 19.2655i | 0.254348 | − | 1.27870i | −0.616582 | − | 0.787290i | \(-0.711483\pi\) |
0.870931 | − | 0.491406i | \(-0.163517\pi\) | |||||||
\(228\) | 29.4623 | + | 8.54903i | 1.95119 | + | 0.566174i | ||||
\(229\) | −18.1422 | − | 12.1223i | −1.19887 | − | 0.801061i | −0.214425 | − | 0.976740i | \(-0.568788\pi\) |
−0.984447 | + | 0.175680i | \(0.943788\pi\) | |||||||
\(230\) | −1.04835 | + | 0.269355i | −0.0691261 | + | 0.0177607i | ||||
\(231\) | −4.22357 | − | 10.1966i | −0.277891 | − | 0.670887i | ||||
\(232\) | −5.24644 | − | 13.8636i | −0.344446 | − | 0.910187i | ||||
\(233\) | −1.49754 | + | 3.61539i | −0.0981074 | + | 0.236852i | −0.965312 | − | 0.261100i | \(-0.915915\pi\) |
0.867204 | + | 0.497953i | \(0.165915\pi\) | |||||||
\(234\) | 5.02326 | + | 0.714070i | 0.328381 | + | 0.0466802i | ||||
\(235\) | −13.6724 | + | 2.71960i | −0.891887 | + | 0.177407i | ||||
\(236\) | 3.55604 | − | 1.12592i | 0.231478 | − | 0.0732910i | ||||
\(237\) | −0.544950 | + | 0.364124i | −0.0353983 | + | 0.0236524i | ||||
\(238\) | −12.9772 | + | 14.4936i | −0.841190 | + | 0.939481i | ||||
\(239\) | 4.87803 | + | 4.87803i | 0.315534 | + | 0.315534i | 0.847049 | − | 0.531515i | \(-0.178377\pi\) |
−0.531515 | + | 0.847049i | \(0.678377\pi\) | |||||||
\(240\) | −16.8990 | − | 10.7088i | −1.09083 | − | 0.691250i | ||||
\(241\) | 1.70539 | − | 1.70539i | 0.109854 | − | 0.109854i | −0.650043 | − | 0.759897i | \(-0.725249\pi\) |
0.759897 | + | 0.650043i | \(0.225249\pi\) | |||||||
\(242\) | −0.733039 | − | 13.2800i | −0.0471215 | − | 0.853669i | ||||
\(243\) | −2.53170 | − | 3.78895i | −0.162409 | − | 0.243062i | ||||
\(244\) | 8.49920 | + | 10.1042i | 0.544106 | + | 0.646858i | ||||
\(245\) | −0.405444 | − | 2.03831i | −0.0259029 | − | 0.130223i | ||||
\(246\) | 16.4688 | + | 21.9269i | 1.05001 | + | 1.39801i | ||||
\(247\) | 2.68027 | + | 1.11020i | 0.170541 | + | 0.0706405i | ||||
\(248\) | −14.9891 | − | 24.0077i | −0.951808 | − | 1.52449i | ||||
\(249\) | 17.4444 | − | 7.22572i | 1.10550 | − | 0.457912i | ||||
\(250\) | 8.63581 | − | 14.6079i | 0.546177 | − | 0.923882i | ||||
\(251\) | −0.380597 | + | 0.569604i | −0.0240231 | + | 0.0359531i | −0.843287 | − | 0.537464i | \(-0.819382\pi\) |
0.819264 | + | 0.573417i | \(0.194382\pi\) | |||||||
\(252\) | −28.0060 | − | 22.4218i | −1.76421 | − | 1.41244i | ||||
\(253\) | 0.576245 | + | 0.114622i | 0.0362282 | + | 0.00720625i | ||||
\(254\) | −10.2813 | + | 29.2925i | −0.645109 | + | 1.83797i | ||||
\(255\) | 23.9354 | 1.49889 | ||||||||
\(256\) | −14.4682 | + | 6.83157i | −0.904264 | + | 0.426973i | ||||
\(257\) | 24.3404 | 1.51831 | 0.759156 | − | 0.650908i | \(-0.225612\pi\) | ||||
0.759156 | + | 0.650908i | \(0.225612\pi\) | |||||||
\(258\) | −5.52542 | + | 15.7424i | −0.343997 | + | 0.980079i | ||||
\(259\) | 1.51806 | + | 0.301960i | 0.0943275 | + | 0.0187629i | ||||
\(260\) | −1.47693 | − | 1.18244i | −0.0915953 | − | 0.0733321i | ||||
\(261\) | −18.1691 | + | 27.1919i | −1.12464 | + | 1.68314i | ||||
\(262\) | −5.17963 | + | 8.76157i | −0.319998 | + | 0.541291i | ||||
\(263\) | 9.60085 | − | 3.97680i | 0.592014 | − | 0.245220i | −0.0665030 | − | 0.997786i | \(-0.521184\pi\) |
0.658517 | + | 0.752566i | \(0.271184\pi\) | |||||||
\(264\) | 5.75124 | + | 9.21165i | 0.353964 | + | 0.566938i | ||||
\(265\) | 6.31516 | + | 2.61583i | 0.387937 | + | 0.160689i | ||||
\(266\) | −12.3193 | − | 16.4021i | −0.755344 | − | 1.00568i | ||||
\(267\) | −2.30505 | − | 11.5883i | −0.141067 | − | 0.709190i | ||||
\(268\) | −7.90186 | − | 9.39411i | −0.482683 | − | 0.573836i | ||||
\(269\) | −17.3303 | − | 25.9367i | −1.05665 | − | 1.58139i | −0.785513 | − | 0.618845i | \(-0.787601\pi\) |
−0.271136 | − | 0.962541i | \(-0.587399\pi\) | |||||||
\(270\) | 1.26319 | + | 22.8844i | 0.0768754 | + | 1.39270i | ||||
\(271\) | 11.8443 | − | 11.8443i | 0.719491 | − | 0.719491i | −0.249010 | − | 0.968501i | \(-0.580105\pi\) |
0.968501 | + | 0.249010i | \(0.0801053\pi\) | |||||||
\(272\) | 10.2462 | − | 16.1691i | 0.621269 | − | 0.980394i | ||||
\(273\) | −3.55231 | − | 3.55231i | −0.214996 | − | 0.214996i | ||||
\(274\) | 10.4476 | − | 11.6684i | 0.631162 | − | 0.704912i | ||||
\(275\) | −2.40782 | + | 1.60885i | −0.145197 | + | 0.0970176i | ||||
\(276\) | 2.69607 | − | 0.853635i | 0.162285 | − | 0.0513828i | ||||
\(277\) | −25.5130 | + | 5.07485i | −1.53293 | + | 0.304918i | −0.888187 | − | 0.459483i | \(-0.848035\pi\) |
−0.644741 | + | 0.764401i | \(0.723035\pi\) | |||||||
\(278\) | −5.39995 | − | 0.767617i | −0.323867 | − | 0.0460386i | ||||
\(279\) | −23.8959 | + | 57.6898i | −1.43061 | + | 3.45380i | ||||
\(280\) | 4.73489 | + | 12.5118i | 0.282964 | + | 0.747722i | ||||
\(281\) | −9.37710 | − | 22.6383i | −0.559391 | − | 1.35049i | −0.910249 | − | 0.414061i | \(-0.864110\pi\) |
0.350858 | − | 0.936429i | \(-0.385890\pi\) | |||||||
\(282\) | 35.2759 | − | 9.06351i | 2.10065 | − | 0.539724i | ||||
\(283\) | −19.3155 | − | 12.9062i | −1.14819 | − | 0.767195i | −0.172210 | − | 0.985060i | \(-0.555091\pi\) |
−0.975979 | + | 0.217865i | \(0.930091\pi\) | |||||||
\(284\) | 8.74024 | + | 2.53615i | 0.518638 | + | 0.150493i | ||||
\(285\) | −4.92372 | + | 24.7532i | −0.291656 | + | 1.46625i | ||||
\(286\) | 0.444699 | + | 0.925692i | 0.0262956 | + | 0.0547373i | ||||
\(287\) | − | 18.3369i | − | 1.08239i | ||||||
\(288\) | 30.8134 | + | 17.2230i | 1.81570 | + | 1.01487i | ||||
\(289\) | 5.90150i | 0.347147i | ||||||||
\(290\) | 10.9922 | − | 5.28061i | 0.645484 | − | 0.310088i | ||||
\(291\) | −8.16852 | + | 41.0659i | −0.478847 | + | 2.40733i | ||||
\(292\) | 0.951041 | + | 1.72859i | 0.0556555 | + | 0.101158i | ||||
\(293\) | 23.5455 | + | 15.7326i | 1.37554 | + | 0.919109i | 0.999970 | − | 0.00768446i | \(-0.00244606\pi\) |
0.375573 | + | 0.926793i | \(0.377446\pi\) | |||||||
\(294\) | 1.35121 | + | 5.25900i | 0.0788040 | + | 0.306711i | ||||
\(295\) | 1.17433 | + | 2.83507i | 0.0683719 | + | 0.165064i | ||||
\(296\) | −1.52223 | − | 0.0470838i | −0.0884779 | − | 0.00273669i | ||||
\(297\) | 4.76086 | − | 11.4937i | 0.276253 | − | 0.666934i | ||||
\(298\) | 4.42800 | − | 31.1496i | 0.256507 | − | 1.80445i | ||||
\(299\) | 0.262297 | − | 0.0521741i | 0.0151690 | − | 0.00301731i | ||||
\(300\) | −6.42129 | + | 12.3715i | −0.370733 | + | 0.714268i | ||||
\(301\) | 9.27596 | − | 6.19800i | 0.534657 | − | 0.357247i | ||||
\(302\) | −8.23377 | − | 7.37234i | −0.473800 | − | 0.424230i | ||||
\(303\) | −8.63761 | − | 8.63761i | −0.496218 | − | 0.496218i | ||||
\(304\) | 14.6138 | + | 13.9224i | 0.838158 | + | 0.798507i | ||||
\(305\) | −7.68088 | + | 7.68088i | −0.439806 | + | 0.439806i | ||||
\(306\) | −42.1684 | + | 2.32765i | −2.41061 | + | 0.133063i | ||||
\(307\) | −6.01712 | − | 9.00525i | −0.343415 | − | 0.513957i | 0.619054 | − | 0.785348i | \(-0.287516\pi\) |
−0.962469 | + | 0.271392i | \(0.912516\pi\) | |||||||
\(308\) | 0.624184 | − | 7.23466i | 0.0355662 | − | 0.412233i | ||||
\(309\) | −4.68215 | − | 23.5388i | −0.266358 | − | 1.33907i | ||||
\(310\) | 18.6179 | − | 13.9835i | 1.05742 | − | 0.794210i | ||||
\(311\) | −6.91332 | − | 2.86359i | −0.392018 | − | 0.162379i | 0.177963 | − | 0.984037i | \(-0.443049\pi\) |
−0.569981 | + | 0.821658i | \(0.693049\pi\) | |||||||
\(312\) | 4.02318 | + | 2.87200i | 0.227768 | + | 0.162595i | ||||
\(313\) | −20.9463 | + | 8.67625i | −1.18396 | + | 0.490411i | −0.885783 | − | 0.464101i | \(-0.846378\pi\) |
−0.298174 | + | 0.954511i | \(0.596378\pi\) | |||||||
\(314\) | 25.5818 | + | 15.1233i | 1.44366 | + | 0.853459i | ||||
\(315\) | 16.3975 | − | 24.5406i | 0.923894 | − | 1.38271i | ||||
\(316\) | −0.428600 | + | 0.0474611i | −0.0241106 | + | 0.00266989i | ||||
\(317\) | −12.9479 | − | 2.57551i | −0.727229 | − | 0.144655i | −0.182427 | − | 0.983219i | \(-0.558395\pi\) |
−0.544802 | + | 0.838565i | \(0.683395\pi\) | |||||||
\(318\) | −16.8512 | − | 5.91460i | −0.944969 | − | 0.331674i | ||||
\(319\) | −6.61944 | −0.370617 | ||||||||
\(320\) | −6.62262 | − | 11.3757i | −0.370216 | − | 0.635923i | ||||
\(321\) | 16.7647 | 0.935712 | ||||||||
\(322\) | −1.78428 | − | 0.626265i | −0.0994343 | − | 0.0349004i | ||||
\(323\) | −23.6840 | − | 4.71104i | −1.31781 | − | 0.262129i | ||||
\(324\) | −2.46975 | − | 22.3033i | −0.137209 | − | 1.23907i | ||||
\(325\) | −0.732323 | + | 1.09600i | −0.0406220 | + | 0.0607951i | ||||
\(326\) | −24.9585 | − | 14.7548i | −1.38232 | − | 0.817195i | ||||
\(327\) | 12.2606 | − | 5.07850i | 0.678012 | − | 0.280842i | ||||
\(328\) | 2.97117 | + | 17.7963i | 0.164056 | + | 0.982637i | ||||
\(329\) | −22.5003 | − | 9.31994i | −1.24048 | − | 0.513825i | ||||
\(330\) | −7.14359 | + | 5.36540i | −0.393242 | + | 0.295356i | ||||
\(331\) | 0.994900 | + | 5.00170i | 0.0546846 | + | 0.274918i | 0.998447 | − | 0.0557056i | \(-0.0177408\pi\) |
−0.943763 | + | 0.330624i | \(0.892741\pi\) | |||||||
\(332\) | 12.3771 | + | 1.06786i | 0.679283 | + | 0.0586064i | ||||
\(333\) | 1.86674 | + | 2.79377i | 0.102297 | + | 0.153098i | ||||
\(334\) | 20.5547 | − | 1.13459i | 1.12470 | − | 0.0620822i | ||||
\(335\) | 7.14106 | − | 7.14106i | 0.390158 | − | 0.390158i | ||||
\(336\) | −14.1537 | − | 31.9580i | −0.772149 | − | 1.74345i | ||||
\(337\) | −9.51763 | − | 9.51763i | −0.518459 | − | 0.518459i | 0.398646 | − | 0.917105i | \(-0.369480\pi\) |
−0.917105 | + | 0.398646i | \(0.869480\pi\) | |||||||
\(338\) | −13.3485 | − | 11.9519i | −0.726061 | − | 0.650099i | ||||
\(339\) | 41.7952 | − | 27.9267i | 2.27000 | − | 1.51677i | ||||
\(340\) | 13.9775 | + | 7.25487i | 0.758036 | + | 0.393451i | ||||
\(341\) | −12.3961 | + | 2.46574i | −0.671286 | + | 0.133527i | ||||
\(342\) | 6.26723 | − | 44.0880i | 0.338893 | − | 2.38401i | ||||
\(343\) | −6.31088 | + | 15.2358i | −0.340755 | + | 0.822656i | ||||
\(344\) | −7.99822 | + | 7.51829i | −0.431235 | + | 0.405359i | ||||
\(345\) | 0.890336 | + | 2.14946i | 0.0479341 | + | 0.115723i | ||||
\(346\) | 6.54425 | + | 25.4707i | 0.351821 | + | 1.36931i | ||||
\(347\) | 24.8873 | + | 16.6292i | 1.33602 | + | 0.892701i | 0.998812 | − | 0.0487284i | \(-0.0155169\pi\) |
0.337210 | + | 0.941430i | \(0.390517\pi\) | |||||||
\(348\) | −27.9153 | + | 15.3585i | −1.49642 | + | 0.823305i | ||||
\(349\) | 2.77238 | − | 13.9377i | 0.148402 | − | 0.746067i | −0.832874 | − | 0.553462i | \(-0.813306\pi\) |
0.981276 | − | 0.192605i | \(-0.0616936\pi\) | |||||||
\(350\) | 8.40128 | − | 4.03594i | 0.449067 | − | 0.215730i | ||||
\(351\) | − | 5.66280i | − | 0.302258i | ||||||
\(352\) | 0.566468 | + | 7.12252i | 0.0301928 | + | 0.379632i | ||||
\(353\) | 22.9803i | 1.22312i | 0.791199 | + | 0.611558i | \(0.209457\pi\) | ||||
−0.791199 | + | 0.611558i | \(0.790543\pi\) | |||||||
\(354\) | −3.47174 | − | 7.22683i | −0.184521 | − | 0.384102i | ||||
\(355\) | −1.46066 | + | 7.34326i | −0.0775240 | + | 0.389740i | ||||
\(356\) | 2.16635 | − | 7.46584i | 0.114817 | − | 0.395689i | ||||
\(357\) | 34.7689 | + | 23.2318i | 1.84016 | + | 1.22956i | ||||
\(358\) | −14.7773 | + | 3.79676i | −0.781003 | + | 0.200665i | ||||
\(359\) | 2.63107 | + | 6.35196i | 0.138862 | + | 0.335244i | 0.977978 | − | 0.208710i | \(-0.0669266\pi\) |
−0.839115 | + | 0.543954i | \(0.816927\pi\) | |||||||
\(360\) | −11.9377 | + | 26.4741i | −0.629173 | + | 1.39531i | ||||
\(361\) | 2.47302 | − | 5.97039i | 0.130159 | − | 0.314231i | ||||
\(362\) | 5.01000 | + | 0.712185i | 0.263320 | + | 0.0374316i | ||||
\(363\) | −28.0387 | + | 5.57725i | −1.47165 | + | 0.292730i | ||||
\(364\) | −0.997722 | − | 3.15115i | −0.0522948 | − | 0.165165i | ||||
\(365\) | −1.34958 | + | 0.901757i | −0.0706400 | + | 0.0472001i | ||||
\(366\) | 18.9313 | − | 21.1434i | 0.989554 | − | 1.10518i | ||||
\(367\) | −2.41091 | − | 2.41091i | −0.125848 | − | 0.125848i | 0.641377 | − | 0.767226i | \(-0.278363\pi\) |
−0.767226 | + | 0.641377i | \(0.778363\pi\) | |||||||
\(368\) | 1.83316 | + | 0.318691i | 0.0955600 | + | 0.0166129i | ||||
\(369\) | 28.1476 | − | 28.1476i | 1.46530 | − | 1.46530i | ||||
\(370\) | −0.0690550 | − | 1.25102i | −0.00359000 | − | 0.0650375i | ||||
\(371\) | 6.63456 | + | 9.92931i | 0.344449 | + | 0.515504i | ||||
\(372\) | −46.5554 | + | 39.1601i | −2.41378 | + | 2.03036i | ||||
\(373\) | 2.78301 | + | 13.9911i | 0.144099 | + | 0.724433i | 0.983498 | + | 0.180918i | \(0.0579068\pi\) |
−0.839400 | + | 0.543515i | \(0.817093\pi\) | |||||||
\(374\) | −5.13364 | − | 6.83502i | −0.265454 | − | 0.353431i | ||||
\(375\) | −33.6987 | − | 13.9585i | −1.74019 | − | 0.720812i | ||||
\(376\) | 23.3471 | + | 5.39940i | 1.20404 | + | 0.278453i | ||||
\(377\) | −2.78370 | + | 1.15305i | −0.143368 | + | 0.0593849i | ||||
\(378\) | −20.3768 | + | 34.4682i | −1.04807 | + | 1.77285i | ||||
\(379\) | 14.2902 | − | 21.3867i | 0.734036 | − | 1.09856i | −0.257187 | − | 0.966362i | \(-0.582796\pi\) |
0.991223 | − | 0.132201i | \(-0.0422044\pi\) | |||||||
\(380\) | −10.3780 | + | 12.9627i | −0.532382 | + | 0.664972i | ||||
\(381\) | 65.4461 | + | 13.0180i | 3.35290 | + | 0.666934i | ||||
\(382\) | −0.338217 | + | 0.963608i | −0.0173047 | + | 0.0493025i | ||||
\(383\) | 21.5847 | 1.10293 | 0.551463 | − | 0.834199i | \(-0.314070\pi\) | ||||
0.551463 | + | 0.834199i | \(0.314070\pi\) | |||||||
\(384\) | 18.9147 | + | 28.7225i | 0.965237 | + | 1.46574i | ||||
\(385\) | 5.97401 | 0.304464 | ||||||||
\(386\) | −2.48597 | + | 7.08273i | −0.126532 | + | 0.360502i | ||||
\(387\) | 23.7529 | + | 4.72474i | 1.20743 | + | 0.240172i | ||||
\(388\) | −17.2173 | + | 21.5053i | −0.874077 | + | 1.09177i | ||||
\(389\) | 3.94394 | − | 5.90253i | 0.199966 | − | 0.299270i | −0.717911 | − | 0.696135i | \(-0.754902\pi\) |
0.917877 | + | 0.396864i | \(0.129902\pi\) | |||||||
\(390\) | −2.06952 | + | 3.50068i | −0.104794 | + | 0.177264i | ||||
\(391\) | −2.05662 | + | 0.851878i | −0.104007 | + | 0.0430813i | ||||
\(392\) | −0.804954 | + | 3.48064i | −0.0406563 | + | 0.175799i | ||||
\(393\) | 20.2119 | + | 8.37206i | 1.01956 | + | 0.422315i | ||||
\(394\) | −12.6674 | − | 16.8656i | −0.638173 | − | 0.849675i | ||||
\(395\) | −0.0692105 | − | 0.347944i | −0.00348236 | − | 0.0175070i | ||||
\(396\) | 12.0635 | − | 10.1472i | 0.606214 | − | 0.509918i | ||||
\(397\) | −7.40790 | − | 11.0867i | −0.371792 | − | 0.556426i | 0.597647 | − | 0.801759i | \(-0.296102\pi\) |
−0.969439 | + | 0.245334i | \(0.921102\pi\) | |||||||
\(398\) | 0.0374469 | + | 0.678400i | 0.00187704 | + | 0.0340051i | ||||
\(399\) | −31.1778 | + | 31.1778i | −1.56084 | + | 1.56084i | ||||
\(400\) | −7.49965 | + | 5.27824i | −0.374983 | + | 0.263912i | ||||
\(401\) | −8.50260 | − | 8.50260i | −0.424600 | − | 0.424600i | 0.462184 | − | 0.886784i | \(-0.347066\pi\) |
−0.886784 | + | 0.462184i | \(0.847066\pi\) | |||||||
\(402\) | −17.6008 | + | 19.6574i | −0.877846 | + | 0.980421i | ||||
\(403\) | −4.78347 | + | 3.19622i | −0.238282 | + | 0.159215i | ||||
\(404\) | −2.42601 | − | 7.66217i | −0.120698 | − | 0.381207i | ||||
\(405\) | 18.1061 | − | 3.60154i | 0.899702 | − | 0.178962i | ||||
\(406\) | 21.0928 | + | 2.99840i | 1.04682 | + | 0.148808i | ||||
\(407\) | −0.260262 | + | 0.628329i | −0.0129007 | + | 0.0311451i | ||||
\(408\) | −37.5082 | − | 16.9132i | −1.85693 | − | 0.837330i | ||||
\(409\) | 10.8420 | + | 26.1750i | 0.536104 | + | 1.29427i | 0.927423 | + | 0.374014i | \(0.122019\pi\) |
−0.391320 | + | 0.920255i | \(0.627981\pi\) | |||||||
\(410\) | −14.3766 | + | 3.69381i | −0.710009 | + | 0.182424i | ||||
\(411\) | −27.9914 | − | 18.7032i | −1.38071 | − | 0.922563i | ||||
\(412\) | 4.40043 | − | 15.1650i | 0.216793 | − | 0.747128i | ||||
\(413\) | −1.04590 | + | 5.25807i | −0.0514651 | + | 0.258733i | ||||
\(414\) | −1.77759 | − | 3.70025i | −0.0873636 | − | 0.181857i | ||||
\(415\) | 10.2204i | 0.501699i | ||||||||
\(416\) | 1.47890 | + | 2.89659i | 0.0725089 | + | 0.142017i | ||||
\(417\) | 11.7236i | 0.574106i | ||||||||
\(418\) | 8.12459 | − | 3.90302i | 0.397387 | − | 0.190903i | ||||
\(419\) | −4.06419 | + | 20.4320i | −0.198549 | + | 0.998171i | 0.745032 | + | 0.667028i | \(0.232434\pi\) |
−0.943581 | + | 0.331142i | \(0.892566\pi\) | |||||||
\(420\) | 25.1934 | − | 13.8610i | 1.22931 | − | 0.676348i | ||||
\(421\) | −18.4939 | − | 12.3572i | −0.901337 | − | 0.602254i | 0.0162157 | − | 0.999869i | \(-0.494838\pi\) |
−0.917553 | + | 0.397614i | \(0.869838\pi\) | |||||||
\(422\) | 5.16436 | + | 20.1001i | 0.251397 | + | 0.978456i | ||||
\(423\) | −20.2322 | − | 48.8449i | −0.983723 | − | 2.37492i | ||||
\(424\) | −8.04784 | − | 8.56158i | −0.390838 | − | 0.415787i | ||||
\(425\) | 4.19876 | − | 10.1367i | 0.203670 | − | 0.491703i | ||||
\(426\) | 2.75306 | − | 19.3669i | 0.133386 | − | 0.938329i | ||||
\(427\) | −18.6125 | + | 3.70225i | −0.900720 | + | 0.179164i | ||||
\(428\) | 9.79002 | + | 5.08141i | 0.473219 | + | 0.245619i | ||||
\(429\) | 1.83540 | − | 1.22637i | 0.0886137 | − | 0.0592098i | ||||
\(430\) | −6.72795 | − | 6.02405i | −0.324450 | − | 0.290505i | ||||
\(431\) | 9.16945 | + | 9.16945i | 0.441677 | + | 0.441677i | 0.892575 | − | 0.450898i | \(-0.148896\pi\) |
−0.450898 | + | 0.892575i | \(0.648896\pi\) | |||||||
\(432\) | 14.1911 | − | 36.7538i | 0.682769 | − | 1.76832i | ||||
\(433\) | 9.06306 | − | 9.06306i | 0.435543 | − | 0.435543i | −0.454966 | − | 0.890509i | \(-0.650349\pi\) |
0.890509 | + | 0.454966i | \(0.150349\pi\) | |||||||
\(434\) | 40.6171 | − | 2.24201i | 1.94968 | − | 0.107620i | ||||
\(435\) | −14.5627 | − | 21.7946i | −0.698226 | − | 1.04497i | ||||
\(436\) | 8.69909 | + | 0.750530i | 0.416611 | + | 0.0359439i | ||||
\(437\) | −0.457921 | − | 2.30212i | −0.0219053 | − | 0.110125i | ||||
\(438\) | 3.39082 | − | 2.54678i | 0.162020 | − | 0.121690i | ||||
\(439\) | 37.3964 | + | 15.4901i | 1.78483 | + | 0.739301i | 0.991436 | + | 0.130594i | \(0.0416884\pi\) |
0.793395 | + | 0.608707i | \(0.208312\pi\) | |||||||
\(440\) | −5.79789 | + | 0.967984i | −0.276404 | + | 0.0461468i | ||||
\(441\) | 7.28190 | − | 3.01626i | 0.346757 | − | 0.143631i | ||||
\(442\) | −3.34947 | − | 1.98013i | −0.159318 | − | 0.0941850i | ||||
\(443\) | −0.953921 | + | 1.42764i | −0.0453222 | + | 0.0678294i | −0.853439 | − | 0.521193i | \(-0.825487\pi\) |
0.808117 | + | 0.589023i | \(0.200487\pi\) | |||||||
\(444\) | 0.360291 | + | 3.25363i | 0.0170987 | + | 0.154411i | ||||
\(445\) | 6.27255 | + | 1.24769i | 0.297347 | + | 0.0591460i | ||||
\(446\) | 27.4139 | + | 9.62198i | 1.29808 | + | 0.455614i | ||||
\(447\) | −67.6275 | −3.19867 | ||||||||
\(448\) | 1.42123 | − | 22.9525i | 0.0671470 | − | 1.08440i | ||||
\(449\) | −24.6119 | −1.16151 | −0.580754 | − | 0.814079i | \(-0.697242\pi\) | ||||
−0.580754 | + | 0.814079i | \(0.697242\pi\) | |||||||
\(450\) | 19.0914 | + | 6.70089i | 0.899978 | + | 0.315883i | ||||
\(451\) | 7.90236 | + | 1.57188i | 0.372108 | + | 0.0740168i | ||||
\(452\) | 32.8717 | − | 3.64005i | 1.54615 | − | 0.171214i | ||||
\(453\) | −13.1979 | + | 19.7521i | −0.620093 | + | 0.928034i | ||||
\(454\) | −23.9131 | − | 14.1369i | −1.12230 | − | 0.663476i | ||||
\(455\) | 2.51227 | − | 1.04062i | 0.117777 | − | 0.0487849i | ||||
\(456\) | 25.2069 | − | 35.3105i | 1.18042 | − | 1.65357i | ||||
\(457\) | 0.962960 | + | 0.398871i | 0.0450454 | + | 0.0186584i | 0.405092 | − | 0.914276i | \(-0.367239\pi\) |
−0.360047 | + | 0.932934i | \(0.617239\pi\) | |||||||
\(458\) | −24.6731 | + | 18.5315i | −1.15290 | + | 0.865919i | ||||
\(459\) | 9.19571 | + | 46.2300i | 0.429219 | + | 2.15783i | ||||
\(460\) | −0.131579 | + | 1.52508i | −0.00613491 | + | 0.0711072i | ||||
\(461\) | −7.72794 | − | 11.5657i | −0.359926 | − | 0.538667i | 0.606676 | − | 0.794949i | \(-0.292502\pi\) |
−0.966602 | + | 0.256282i | \(0.917502\pi\) | |||||||
\(462\) | −15.5846 | + | 0.860250i | −0.725059 | + | 0.0400224i | ||||
\(463\) | 8.29596 | − | 8.29596i | 0.385546 | − | 0.385546i | −0.487549 | − | 0.873095i | \(-0.662109\pi\) |
0.873095 | + | 0.487549i | \(0.162109\pi\) | |||||||
\(464\) | −20.9568 | + | 0.507716i | −0.972896 | + | 0.0235701i | ||||
\(465\) | −35.3897 | − | 35.3897i | −1.64116 | − | 1.64116i | ||||
\(466\) | 4.12300 | + | 3.69164i | 0.190994 | + | 0.171012i | ||||
\(467\) | −0.240041 | + | 0.160391i | −0.0111078 | + | 0.00742199i | −0.561112 | − | 0.827740i | \(-0.689626\pi\) |
0.550004 | + | 0.835162i | \(0.314626\pi\) | |||||||
\(468\) | 3.30556 | − | 6.36861i | 0.152800 | − | 0.294389i | ||||
\(469\) | 17.3043 | − | 3.44205i | 0.799040 | − | 0.158939i | ||||
\(470\) | −2.77457 | + | 19.5182i | −0.127981 | + | 0.900309i | ||||
\(471\) | 24.4445 | − | 59.0143i | 1.12634 | − | 2.71924i | ||||
\(472\) | 0.163083 | − | 5.27253i | 0.00750651 | − | 0.242688i | ||||
\(473\) | 1.87590 | + | 4.52882i | 0.0862539 | + | 0.208235i | ||||
\(474\) | 0.230655 | + | 0.897726i | 0.0105943 | + | 0.0412339i | ||||
\(475\) | 9.61934 | + | 6.42743i | 0.441365 | + | 0.294911i | ||||
\(476\) | 13.2623 | + | 24.1052i | 0.607876 | + | 1.10486i | ||||
\(477\) | −5.05753 | + | 25.4259i | −0.231568 | + | 1.16417i | ||||
\(478\) | 8.79395 | − | 4.22458i | 0.402226 | − | 0.193228i | ||||
\(479\) | 27.3994i | 1.25191i | 0.779860 | + | 0.625954i | \(0.215290\pi\) | ||||
−0.779860 | + | 0.625954i | \(0.784710\pi\) | |||||||
\(480\) | −22.2047 | + | 17.5345i | −1.01350 | + | 0.800338i | ||||
\(481\) | 0.309569i | 0.0141151i | ||||||||
\(482\) | −1.47694 | − | 3.07443i | −0.0672730 | − | 0.140036i | ||||
\(483\) | −0.792964 | + | 3.98650i | −0.0360811 | + | 0.181392i | ||||
\(484\) | −18.0642 | − | 5.24167i | −0.821099 | − | 0.238258i | ||||
\(485\) | −18.8443 | − | 12.5913i | −0.855675 | − | 0.571744i | ||||
\(486\) | −6.24175 | + | 1.60371i | −0.283132 | + | 0.0727456i | ||||
\(487\) | −11.7477 | − | 28.3614i | −0.532338 | − | 1.28518i | −0.929971 | − | 0.367633i | \(-0.880168\pi\) |
0.397633 | − | 0.917544i | \(-0.369832\pi\) | |||||||
\(488\) | 17.4639 | − | 6.60893i | 0.790552 | − | 0.299172i | ||||
\(489\) | −23.8489 | + | 57.5764i | −1.07849 | + | 2.60369i | ||||
\(490\) | −2.90982 | − | 0.413639i | −0.131452 | − | 0.0186863i | ||||
\(491\) | 1.43618 | − | 0.285675i | 0.0648141 | − | 0.0128923i | −0.162577 | − | 0.986696i | \(-0.551981\pi\) |
0.227391 | + | 0.973804i | \(0.426981\pi\) | |||||||
\(492\) | 36.9727 | − | 11.7063i | 1.66686 | − | 0.527763i | ||||
\(493\) | 20.8531 | − | 13.9336i | 0.939178 | − | 0.627539i | ||||
\(494\) | 2.73680 | − | 3.05658i | 0.123134 | − | 0.137522i | ||||
\(495\) | 9.17024 | + | 9.17024i | 0.412172 | + | 0.412172i | ||||
\(496\) | −39.0564 | + | 8.75720i | −1.75368 | + | 0.393210i | ||||
\(497\) | −9.24919 | + | 9.24919i | −0.414883 | + | 0.414883i | ||||
\(498\) | −1.47172 | − | 26.6622i | −0.0659495 | − | 1.19476i | ||||
\(499\) | 8.33594 | + | 12.4756i | 0.373168 | + | 0.558485i | 0.969760 | − | 0.244059i | \(-0.0784791\pi\) |
−0.596592 | + | 0.802544i | \(0.703479\pi\) | |||||||
\(500\) | −15.4481 | − | 18.3654i | −0.690861 | − | 0.821328i | ||||
\(501\) | −8.63244 | − | 43.3982i | −0.385669 | − | 1.93889i | ||||
\(502\) | 0.581825 | + | 0.774652i | 0.0259681 | + | 0.0345744i | ||||
\(503\) | −9.56425 | − | 3.96164i | −0.426449 | − | 0.176641i | 0.159128 | − | 0.987258i | \(-0.449132\pi\) |
−0.585577 | + | 0.810617i | \(0.699132\pi\) | |||||||
\(504\) | −43.0367 | + | 26.8698i | −1.91701 | + | 1.19687i | ||||
\(505\) | 6.10871 | − | 2.53031i | 0.271834 | − | 0.112597i | ||||
\(506\) | 0.422844 | − | 0.715260i | 0.0187977 | − | 0.0317972i | ||||
\(507\) | −21.3963 | + | 32.0218i | −0.950242 | + | 1.42214i | ||||
\(508\) | 34.2726 | + | 27.4390i | 1.52060 | + | 1.21741i | ||||
\(509\) | −1.27790 | − | 0.254190i | −0.0566419 | − | 0.0112668i | 0.166688 | − | 0.986010i | \(-0.446693\pi\) |
−0.223330 | + | 0.974743i | \(0.571693\pi\) | |||||||
\(510\) | 11.2104 | − | 31.9395i | 0.496406 | − | 1.41430i | ||||
\(511\) | −2.83566 | −0.125442 | ||||||||
\(512\) | 2.33971 | + | 22.5061i | 0.103402 | + | 0.994640i | ||||
\(513\) | −49.7011 | −2.19436 | ||||||||
\(514\) | 11.4001 | − | 32.4800i | 0.502838 | − | 1.43263i | ||||
\(515\) | 12.7412 | + | 2.53437i | 0.561443 | + | 0.111678i | ||||
\(516\) | 18.4188 | + | 14.7463i | 0.810844 | + | 0.649169i | ||||
\(517\) | 5.94524 | − | 8.89768i | 0.261471 | − | 0.391320i | ||||
\(518\) | 1.11394 | − | 1.88428i | 0.0489436 | − | 0.0827904i | ||||
\(519\) | 52.2233 | − | 21.6316i | 2.29235 | − | 0.949522i | ||||
\(520\) | −2.26960 | + | 1.41701i | −0.0995284 | + | 0.0621400i | ||||
\(521\) | −30.4733 | − | 12.6225i | −1.33506 | − | 0.553001i | −0.402967 | − | 0.915215i | \(-0.632021\pi\) |
−0.932095 | + | 0.362214i | \(0.882021\pi\) | |||||||
\(522\) | 27.7753 | + | 36.9806i | 1.21569 | + | 1.61860i | ||||
\(523\) | 0.709853 | + | 3.56867i | 0.0310397 | + | 0.156047i | 0.993197 | − | 0.116448i | \(-0.0371510\pi\) |
−0.962157 | + | 0.272496i | \(0.912151\pi\) | |||||||
\(524\) | 9.26554 | + | 11.0153i | 0.404767 | + | 0.481206i | ||||
\(525\) | −11.1302 | − | 16.6574i | −0.485760 | − | 0.726991i | ||||
\(526\) | −0.809988 | − | 14.6740i | −0.0353172 | − | 0.639817i | ||||
\(527\) | 33.8610 | − | 33.8610i | 1.47501 | − | 1.47501i | ||||
\(528\) | 14.9857 | − | 3.36010i | 0.652170 | − | 0.146229i | ||||
\(529\) | 16.1105 | + | 16.1105i | 0.700455 | + | 0.700455i | ||||
\(530\) | 6.44835 | − | 7.20183i | 0.280099 | − | 0.312827i | ||||
\(531\) | −9.67673 | + | 6.46579i | −0.419934 | + | 0.280591i | ||||
\(532\) | −27.6569 | + | 8.75678i | −1.19908 | + | 0.379655i | ||||
\(533\) | 3.59702 | − | 0.715492i | 0.155804 | − | 0.0309914i | ||||
\(534\) | −16.5430 | − | 2.35164i | −0.715887 | − | 0.101765i | ||||
\(535\) | −3.47264 | + | 8.38370i | −0.150135 | + | 0.362459i | ||||
\(536\) | −16.2365 | + | 6.14444i | −0.701309 | + | 0.265399i | ||||
\(537\) | 12.5499 | + | 30.2982i | 0.541570 | + | 1.30747i | ||||
\(538\) | −42.7269 | + | 10.9779i | −1.84209 | + | 0.473292i | ||||
\(539\) | 1.32649 | + | 0.886330i | 0.0571358 | + | 0.0381769i | ||||
\(540\) | 31.1287 | + | 9.03257i | 1.33956 | + | 0.388700i | ||||
\(541\) | 0.728776 | − | 3.66380i | 0.0313325 | − | 0.157519i | −0.961952 | − | 0.273220i | \(-0.911911\pi\) |
0.993284 | + | 0.115701i | \(0.0369113\pi\) | |||||||
\(542\) | −10.2577 | − | 21.3525i | −0.440605 | − | 0.917170i | ||||
\(543\) | − | 10.8770i | − | 0.466776i | ||||||
\(544\) | −16.7771 | − | 21.2456i | −0.719314 | − | 0.910898i | ||||
\(545\) | 7.18326i | 0.307697i | ||||||||
\(546\) | −6.40399 | + | 3.07645i | −0.274066 | + | 0.131660i | ||||
\(547\) | 2.21811 | − | 11.1512i | 0.0948394 | − | 0.476790i | −0.903952 | − | 0.427635i | \(-0.859347\pi\) |
0.998791 | − | 0.0491555i | \(-0.0156530\pi\) | |||||||
\(548\) | −10.6771 | − | 19.4063i | −0.456102 | − | 0.828998i | ||||
\(549\) | −34.2536 | − | 22.8875i | −1.46191 | − | 0.976815i | ||||
\(550\) | 1.01913 | + | 3.96653i | 0.0434559 | + | 0.169134i | ||||
\(551\) | 10.1200 | + | 24.4319i | 0.431128 | + | 1.04083i | ||||
\(552\) | 0.123644 | − | 3.99746i | 0.00526266 | − | 0.170143i | ||||
\(553\) | 0.237181 | − | 0.572605i | 0.0100859 | − | 0.0243496i | ||||
\(554\) | −5.17742 | + | 36.4215i | −0.219968 | + | 1.54740i | ||||
\(555\) | −2.64135 | + | 0.525397i | −0.112119 | + | 0.0223019i | ||||
\(556\) | −3.55344 | + | 6.84619i | −0.150700 | + | 0.290343i | ||||
\(557\) | −15.2399 | + | 10.1830i | −0.645734 | + | 0.431466i | −0.834841 | − | 0.550491i | \(-0.814441\pi\) |
0.189107 | + | 0.981956i | \(0.439441\pi\) | |||||||
\(558\) | 65.7897 | + | 58.9066i | 2.78510 | + | 2.49371i | ||||
\(559\) | 1.57776 | + | 1.57776i | 0.0667321 | + | 0.0667321i | ||||
\(560\) | 18.9134 | − | 0.458211i | 0.799239 | − | 0.0193630i | ||||
\(561\) | −12.9923 | + | 12.9923i | −0.548536 | + | 0.548536i | ||||
\(562\) | −34.6006 | + | 1.90991i | −1.45954 | + | 0.0805648i | ||||
\(563\) | 2.21898 | + | 3.32093i | 0.0935187 | + | 0.139961i | 0.875279 | − | 0.483619i | \(-0.160678\pi\) |
−0.781760 | + | 0.623579i | \(0.785678\pi\) | |||||||
\(564\) | 4.42750 | − | 51.3173i | 0.186431 | − | 2.16085i | ||||
\(565\) | 5.30813 | + | 26.6858i | 0.223315 | + | 1.12268i | ||||
\(566\) | −26.2688 | + | 19.7300i | −1.10416 | + | 0.829312i | ||||
\(567\) | 29.7969 | + | 12.3423i | 1.25135 | + | 0.518327i | ||||
\(568\) | 7.47785 | − | 10.4752i | 0.313764 | − | 0.439529i | ||||
\(569\) | 27.7449 | − | 11.4923i | 1.16313 | − | 0.481783i | 0.284213 | − | 0.958761i | \(-0.408268\pi\) |
0.878915 | + | 0.476978i | \(0.158268\pi\) | |||||||
\(570\) | 30.7247 | + | 18.1637i | 1.28692 | + | 0.760794i | ||||
\(571\) | 17.3752 | − | 26.0038i | 0.727128 | − | 1.08822i | −0.265152 | − | 0.964207i | \(-0.585422\pi\) |
0.992280 | − | 0.124017i | \(-0.0395777\pi\) | |||||||
\(572\) | 1.44353 | − | 0.159849i | 0.0603569 | − | 0.00668363i | ||||
\(573\) | 2.15292 | + | 0.428243i | 0.0899396 | + | 0.0178901i | ||||
\(574\) | −24.4688 | − | 8.58831i | −1.02131 | − | 0.358469i | ||||
\(575\) | 1.06649 | 0.0444756 | ||||||||
\(576\) | 37.4142 | − | 33.0510i | 1.55893 | − | 1.37712i | ||||
\(577\) | −4.61192 | −0.191997 | −0.0959984 | − | 0.995381i | \(-0.530604\pi\) | ||||
−0.0959984 | + | 0.995381i | \(0.530604\pi\) | |||||||
\(578\) | 7.87499 | + | 2.76404i | 0.327557 | + | 0.114969i | ||||
\(579\) | 15.8244 | + | 3.14768i | 0.657642 | + | 0.130813i | ||||
\(580\) | −1.89814 | − | 17.1413i | −0.0788161 | − | 0.711753i | ||||
\(581\) | −9.91996 | + | 14.8463i | −0.411549 | + | 0.615927i | ||||
\(582\) | 50.9727 | + | 30.1338i | 2.11289 | + | 1.24909i | ||||
\(583\) | −4.84781 | + | 2.00803i | −0.200776 | + | 0.0831640i | ||||
\(584\) | 2.75207 | − | 0.459470i | 0.113881 | − | 0.0190130i | ||||
\(585\) | 5.45377 | + | 2.25903i | 0.225486 | + | 0.0933992i | ||||
\(586\) | 32.0215 | − | 24.0507i | 1.32280 | − | 0.993524i | ||||
\(587\) | −4.06182 | − | 20.4202i | −0.167649 | − | 0.842831i | −0.969459 | − | 0.245252i | \(-0.921129\pi\) |
0.801810 | − | 0.597579i | \(-0.203871\pi\) | |||||||
\(588\) | 7.65049 | + | 0.660061i | 0.315501 | + | 0.0272204i | ||||
\(589\) | 28.0525 | + | 41.9835i | 1.15588 | + | 1.72990i | ||||
\(590\) | 4.33314 | − | 0.239185i | 0.178393 | − | 0.00984707i | ||||
\(591\) | −32.0588 | + | 32.0588i | −1.31872 | + | 1.31872i | ||||
\(592\) | −0.775785 | + | 2.00922i | −0.0318846 | + | 0.0825785i | ||||
\(593\) | −3.69463 | − | 3.69463i | −0.151720 | − | 0.151720i | 0.627166 | − | 0.778886i | \(-0.284215\pi\) |
−0.778886 | + | 0.627166i | \(0.784215\pi\) | |||||||
\(594\) | −13.1075 | − | 11.7361i | −0.537806 | − | 0.481540i | ||||
\(595\) | −18.8199 | + | 12.5750i | −0.771539 | + | 0.515526i | ||||
\(596\) | −39.4923 | − | 20.4981i | −1.61767 | − | 0.839633i | ||||
\(597\) | 1.43234 | − | 0.284911i | 0.0586218 | − | 0.0116606i | ||||
\(598\) | 0.0532287 | − | 0.374447i | 0.00217668 | − | 0.0153123i | ||||
\(599\) | −4.44136 | + | 10.7224i | −0.181469 | + | 0.438105i | −0.988270 | − | 0.152719i | \(-0.951197\pi\) |
0.806801 | + | 0.590824i | \(0.201197\pi\) | |||||||
\(600\) | 13.5011 | + | 14.3629i | 0.551179 | + | 0.586364i | ||||
\(601\) | −4.16840 | − | 10.0634i | −0.170033 | − | 0.410495i | 0.815776 | − | 0.578368i | \(-0.196310\pi\) |
−0.985809 | + | 0.167873i | \(0.946310\pi\) | |||||||
\(602\) | −3.92613 | − | 15.2808i | −0.160017 | − | 0.622799i | ||||
\(603\) | 31.8462 | + | 21.2789i | 1.29688 | + | 0.866546i | ||||
\(604\) | −13.6941 | + | 7.53427i | −0.557204 | + | 0.306565i | ||||
\(605\) | 3.01888 | − | 15.1769i | 0.122735 | − | 0.617030i | ||||
\(606\) | −15.5716 | + | 7.48054i | −0.632553 | + | 0.303876i | ||||
\(607\) | − | 29.1457i | − | 1.18299i | −0.806310 | − | 0.591493i | \(-0.798539\pi\) | ||
0.806310 | − | 0.591493i | \(-0.201461\pi\) | |||||||
\(608\) | 25.4227 | − | 12.9800i | 1.03103 | − | 0.526407i | ||||
\(609\) | − | 45.7937i | − | 1.85565i | ||||||
\(610\) | 6.65197 | + | 13.8468i | 0.269330 | + | 0.560642i | ||||
\(611\) | 0.950281 | − | 4.77739i | 0.0384443 | − | 0.193272i | ||||
\(612\) | −16.6441 | + | 57.3599i | −0.672796 | + | 2.31864i | ||||
\(613\) | −5.29850 | − | 3.54035i | −0.214005 | − | 0.142993i | 0.443948 | − | 0.896052i | \(-0.353577\pi\) |
−0.657953 | + | 0.753059i | \(0.728577\pi\) | |||||||
\(614\) | −14.8348 | + | 3.81155i | −0.598686 | + | 0.153822i | ||||
\(615\) | 12.2096 | + | 29.4767i | 0.492340 | + | 1.18862i | ||||
\(616\) | −9.36163 | − | 4.22136i | −0.377191 | − | 0.170083i | ||||
\(617\) | 3.88763 | − | 9.38556i | 0.156510 | − | 0.377849i | −0.826102 | − | 0.563521i | \(-0.809446\pi\) |
0.982612 | + | 0.185673i | \(0.0594464\pi\) | |||||||
\(618\) | −33.6032 | − | 4.77678i | −1.35172 | − | 0.192150i | ||||
\(619\) | −3.09719 | + | 0.616070i | −0.124487 | + | 0.0247620i | −0.256940 | − | 0.966427i | \(-0.582714\pi\) |
0.132454 | + | 0.991189i | \(0.457714\pi\) | |||||||
\(620\) | −9.93975 | − | 31.3931i | −0.399190 | − | 1.26078i | ||||
\(621\) | −3.80951 | + | 2.54544i | −0.152871 | + | 0.102145i | ||||
\(622\) | −7.05913 | + | 7.88397i | −0.283045 | + | 0.316118i | ||||
\(623\) | 7.90057 | + | 7.90057i | 0.316530 | + | 0.316530i | ||||
\(624\) | 5.71671 | − | 4.02341i | 0.228852 | − | 0.161065i | ||||
\(625\) | 5.85477 | − | 5.85477i | 0.234191 | − | 0.234191i | ||||
\(626\) | 1.76716 | + | 32.0145i | 0.0706301 | + | 1.27956i | ||||
\(627\) | −10.7636 | − | 16.1089i | −0.429856 | − | 0.643326i | ||||
\(628\) | 32.1622 | − | 27.0533i | 1.28341 | − | 1.07954i | ||||
\(629\) | −0.502703 | − | 2.52726i | −0.0200441 | − | 0.100768i | ||||
\(630\) | −25.0671 | − | 33.3748i | −0.998698 | − | 1.32968i | ||||
\(631\) | −29.9605 | − | 12.4100i | −1.19271 | − | 0.494036i | −0.304073 | − | 0.952649i | \(-0.598347\pi\) |
−0.888636 | + | 0.458613i | \(0.848347\pi\) | |||||||
\(632\) | −0.137408 | + | 0.594155i | −0.00546579 | + | 0.0236342i | ||||
\(633\) | 41.2117 | − | 17.0705i | 1.63802 | − | 0.678490i | ||||
\(634\) | −9.50110 | + | 16.0715i | −0.377337 | + | 0.638282i | ||||
\(635\) | −20.0666 | + | 30.0318i | −0.796319 | + | 1.19178i | ||||
\(636\) | −15.7849 | + | 19.7162i | −0.625914 | + | 0.781797i | ||||
\(637\) | 0.712223 | + | 0.141670i | 0.0282193 | + | 0.00561317i | ||||
\(638\) | −3.10029 | + | 8.83301i | −0.122742 | + | 0.349702i | ||||
\(639\) | −28.3954 | −1.12331 | ||||||||
\(640\) | −18.2816 | + | 3.50930i | −0.722644 | + | 0.138717i | ||||
\(641\) | 27.6811 | 1.09334 | 0.546668 | − | 0.837349i | \(-0.315896\pi\) | ||||
0.546668 | + | 0.837349i | \(0.315896\pi\) | |||||||
\(642\) | 7.85193 | − | 22.3708i | 0.309891 | − | 0.882907i | ||||
\(643\) | 42.4514 | + | 8.44410i | 1.67412 | + | 0.333003i | 0.938733 | − | 0.344646i | \(-0.112001\pi\) |
0.735386 | + | 0.677649i | \(0.237001\pi\) | |||||||
\(644\) | −1.67138 | + | 2.08764i | −0.0658617 | + | 0.0822645i | ||||
\(645\) | −10.7842 | + | 16.1397i | −0.424629 | + | 0.635502i | ||||
\(646\) | −17.3791 | + | 29.3976i | −0.683772 | + | 1.15663i | ||||
\(647\) | −35.3075 | + | 14.6248i | −1.38808 | + | 0.574962i | −0.946630 | − | 0.322324i | \(-0.895536\pi\) |
−0.441451 | + | 0.897285i | \(0.645536\pi\) | |||||||
\(648\) | −30.9183 | − | 7.15036i | −1.21459 | − | 0.280893i | ||||
\(649\) | −2.17633 | − | 0.901466i | −0.0854285 | − | 0.0353856i | ||||
\(650\) | 1.11951 | + | 1.49054i | 0.0439109 | + | 0.0584638i | ||||
\(651\) | −17.0581 | − | 85.7570i | −0.668560 | − | 3.36108i | ||||
\(652\) | −31.3785 | + | 26.3941i | −1.22888 | + | 1.03367i | ||||
\(653\) | 13.3150 | + | 19.9272i | 0.521055 | + | 0.779813i | 0.994908 | − | 0.100791i | \(-0.0321372\pi\) |
−0.473853 | + | 0.880604i | \(0.657137\pi\) | |||||||
\(654\) | −1.03438 | − | 18.7392i | −0.0404475 | − | 0.732759i | ||||
\(655\) | −8.37343 | + | 8.37343i | −0.327177 | + | 0.327177i | ||||
\(656\) | 25.1391 | + | 4.37037i | 0.981516 | + | 0.170634i | ||||
\(657\) | −4.35281 | − | 4.35281i | −0.169819 | − | 0.169819i | ||||
\(658\) | −22.9749 | + | 25.6594i | −0.895654 | + | 1.00031i | ||||
\(659\) | 17.2984 | − | 11.5584i | 0.673852 | − | 0.450253i | −0.170988 | − | 0.985273i | \(-0.554696\pi\) |
0.844839 | + | 0.535020i | \(0.179696\pi\) | |||||||
\(660\) | 3.81383 | + | 12.0454i | 0.148453 | + | 0.468866i | ||||
\(661\) | 14.9381 | − | 2.97137i | 0.581025 | − | 0.115573i | 0.104177 | − | 0.994559i | \(-0.466779\pi\) |
0.476848 | + | 0.878986i | \(0.341779\pi\) | |||||||
\(662\) | 7.14027 | + | 1.01501i | 0.277514 | + | 0.0394494i | ||||
\(663\) | −3.20057 | + | 7.72685i | −0.124300 | + | 0.300086i | ||||
\(664\) | 7.22194 | − | 16.0160i | 0.280266 | − | 0.621540i | ||||
\(665\) | −9.13327 | − | 22.0497i | −0.354173 | − | 0.855049i | ||||
\(666\) | 4.60233 | − | 1.18249i | 0.178337 | − | 0.0458204i | ||||
\(667\) | 2.02696 | + | 1.35437i | 0.0784842 | + | 0.0524415i | ||||
\(668\) | 8.11303 | − | 27.9597i | 0.313902 | − | 1.08179i | ||||
\(669\) | 12.1832 | − | 61.2489i | 0.471028 | − | 2.36802i | ||||
\(670\) | −6.18446 | − | 12.8737i | −0.238927 | − | 0.497353i | ||||
\(671\) | − | 8.33848i | − | 0.321903i | ||||||
\(672\) | −49.2740 | + | 3.91886i | −1.90079 | + | 0.151173i | ||||
\(673\) | − | 33.8371i | − | 1.30432i | −0.758080 | − | 0.652162i | \(-0.773862\pi\) | ||
0.758080 | − | 0.652162i | \(-0.226138\pi\) | |||||||
\(674\) | −17.1581 | + | 8.24268i | −0.660905 | + | 0.317496i | ||||
\(675\) | 4.40558 | − | 22.1483i | 0.169571 | − | 0.852490i | ||||
\(676\) | −22.2006 | + | 12.2144i | −0.853870 | + | 0.469786i | ||||
\(677\) | 28.0419 | + | 18.7370i | 1.07774 | + | 0.720121i | 0.961970 | − | 0.273155i | \(-0.0880672\pi\) |
0.115768 | + | 0.993276i | \(0.463067\pi\) | |||||||
\(678\) | −17.6902 | − | 68.8515i | −0.679387 | − | 2.64423i | ||||
\(679\) | −15.1522 | − | 36.5807i | −0.581489 | − | 1.40384i | ||||
\(680\) | 16.2275 | − | 15.2537i | 0.622295 | − | 0.584954i | ||||
\(681\) | −22.8501 | + | 55.1649i | −0.875616 | + | 2.11392i | ||||
\(682\) | −2.51557 | + | 17.6963i | −0.0963263 | + | 0.677625i | ||||
\(683\) | 14.0115 | − | 2.78707i | 0.536137 | − | 0.106644i | 0.0804066 | − | 0.996762i | \(-0.474378\pi\) |
0.455730 | + | 0.890118i | \(0.349378\pi\) | |||||||
\(684\) | −55.8959 | − | 29.0122i | −2.13723 | − | 1.10931i | ||||
\(685\) | 15.1513 | − | 10.1238i | 0.578901 | − | 0.386809i | ||||
\(686\) | 17.3750 | + | 15.5571i | 0.663379 | + | 0.593975i | ||||
\(687\) | 46.8998 | + | 46.8998i | 1.78934 | + | 1.78934i | ||||
\(688\) | 6.28637 | + | 14.1942i | 0.239666 | + | 0.541147i | ||||
\(689\) | −1.68889 | + | 1.68889i | −0.0643415 | + | 0.0643415i | ||||
\(690\) | 3.28525 | − | 0.181342i | 0.125067 | − | 0.00690358i | ||||
\(691\) | 10.9236 | + | 16.3483i | 0.415552 | + | 0.621918i | 0.978909 | − | 0.204296i | \(-0.0654904\pi\) |
−0.563357 | + | 0.826214i | \(0.690490\pi\) | |||||||
\(692\) | 37.0533 | + | 3.19685i | 1.40856 | + | 0.121526i | ||||
\(693\) | 4.42013 | + | 22.2215i | 0.167907 | + | 0.844125i | ||||
\(694\) | 33.8463 | − | 25.4213i | 1.28479 | − | 0.964979i | ||||
\(695\) | −5.86275 | − | 2.42843i | −0.222387 | − | 0.0921156i | ||||
\(696\) | 7.42006 | + | 44.4436i | 0.281257 | + | 1.68463i | ||||
\(697\) | −28.2035 | + | 11.6823i | −1.06828 | + | 0.442497i | ||||
\(698\) | −17.3000 | − | 10.2274i | −0.654816 | − | 0.387111i | ||||
\(699\) | 6.60877 | − | 9.89072i | 0.249967 | − | 0.374101i | ||||
\(700\) | −1.45074 | − | 13.1010i | −0.0548328 | − | 0.495171i | ||||
\(701\) | 11.0341 | + | 2.19482i | 0.416753 | + | 0.0828974i | 0.399013 | − | 0.916945i | \(-0.369353\pi\) |
0.0177402 | + | 0.999843i | \(0.494353\pi\) | |||||||
\(702\) | −7.55647 | − | 2.65224i | −0.285201 | − | 0.100102i | ||||
\(703\) | 2.71702 | 0.102474 | ||||||||
\(704\) | 9.76964 | + | 2.58002i | 0.368207 | + | 0.0972383i | ||||
\(705\) | 42.3751 | 1.59594 | ||||||||
\(706\) | 30.6650 | + | 10.7631i | 1.15409 | + | 0.405075i | ||||
\(707\) | 11.3295 | + | 2.25358i | 0.426091 | + | 0.0847548i | ||||
\(708\) | −11.2695 | + | 1.24793i | −0.423536 | + | 0.0469003i | ||||
\(709\) | −23.4418 | + | 35.0831i | −0.880374 | + | 1.31757i | 0.0671017 | + | 0.997746i | \(0.478625\pi\) |
−0.947476 | + | 0.319827i | \(0.896375\pi\) | |||||||
\(710\) | 9.11476 | + | 5.38842i | 0.342071 | + | 0.202224i | ||||
\(711\) | 1.24304 | − | 0.514884i | 0.0466176 | − | 0.0193097i | ||||
\(712\) | −8.94781 | − | 6.38751i | −0.335333 | − | 0.239382i | ||||
\(713\) | 4.30035 | + | 1.78127i | 0.161050 | + | 0.0667089i | ||||
\(714\) | 47.2851 | − | 35.5148i | 1.76960 | − | 1.32911i | ||||
\(715\) | 0.233101 | + | 1.17188i | 0.00871749 | + | 0.0438258i | ||||
\(716\) | −1.85470 | + | 21.4971i | −0.0693135 | + | 0.803385i | ||||
\(717\) | −11.6504 | − | 17.4360i | −0.435091 | − | 0.651160i | ||||
\(718\) | 9.70838 | − | 0.535892i | 0.362314 | − | 0.0199993i | ||||
\(719\) | −9.10621 | + | 9.10621i | −0.339604 | + | 0.339604i | −0.856218 | − | 0.516614i | \(-0.827192\pi\) |
0.516614 | + | 0.856218i | \(0.327192\pi\) | |||||||
\(720\) | 29.7359 | + | 28.3292i | 1.10819 | + | 1.05577i | ||||
\(721\) | 16.0481 | + | 16.0481i | 0.597663 | + | 0.597663i | ||||
\(722\) | −6.80865 | − | 6.09631i | −0.253392 | − | 0.226881i | ||||
\(723\) | −6.09576 | + | 4.07305i | −0.226704 | + | 0.151479i | ||||
\(724\) | 3.29684 | − | 6.35181i | 0.122526 | − | 0.236063i | ||||
\(725\) | −11.7847 | + | 2.34411i | −0.437671 | + | 0.0870582i | ||||
\(726\) | −5.68997 | + | 40.0272i | −0.211175 | + | 1.48555i | ||||
\(727\) | 8.28934 | − | 20.0122i | 0.307435 | − | 0.742213i | −0.692352 | − | 0.721560i | \(-0.743426\pi\) |
0.999787 | − | 0.0206529i | \(-0.00657449\pi\) | |||||||
\(728\) | −4.67221 | − | 0.144515i | −0.173163 | − | 0.00535607i | ||||
\(729\) | −7.57994 | − | 18.2996i | −0.280739 | − | 0.677763i | ||||
\(730\) | 0.571219 | + | 2.22323i | 0.0211418 | + | 0.0822854i | ||||
\(731\) | −15.4426 | − | 10.3184i | −0.571165 | − | 0.381640i | ||||
\(732\) | −19.3471 | − | 35.1648i | −0.715090 | − | 1.29973i | ||||
\(733\) | −1.86746 | + | 9.38837i | −0.0689763 | + | 0.346767i | −0.999826 | − | 0.0186340i | \(-0.994068\pi\) |
0.930850 | + | 0.365401i | \(0.119068\pi\) | |||||||
\(734\) | −4.34630 | + | 2.08795i | −0.160425 | + | 0.0770676i | ||||
\(735\) | 6.31738i | 0.233020i | ||||||||
\(736\) | 1.28384 | − | 2.29691i | 0.0473232 | − | 0.0846653i | ||||
\(737\) | 7.75244i | 0.285565i | ||||||||
\(738\) | −24.3770 | − | 50.7435i | −0.897329 | − | 1.86789i | ||||
\(739\) | −3.72209 | + | 18.7122i | −0.136919 | + | 0.688340i | 0.849956 | + | 0.526854i | \(0.176629\pi\) |
−0.986875 | + | 0.161486i | \(0.948371\pi\) | |||||||
\(740\) | −1.70171 | − | 0.493784i | −0.0625562 | − | 0.0181519i | ||||
\(741\) | −7.33247 | − | 4.89940i | −0.269365 | − | 0.179984i | ||||
\(742\) | 16.3571 | − | 4.20267i | 0.600488 | − | 0.154285i | ||||
\(743\) | −2.74886 | − | 6.63633i | −0.100846 | − | 0.243463i | 0.865402 | − | 0.501079i | \(-0.167063\pi\) |
−0.966248 | + | 0.257615i | \(0.917063\pi\) | |||||||
\(744\) | 30.4507 | + | 80.4648i | 1.11638 | + | 2.94998i | ||||
\(745\) | 14.0084 | − | 33.8193i | 0.513228 | − | 1.23904i | ||||
\(746\) | 19.9733 | + | 2.83926i | 0.731274 | + | 0.103953i | ||||
\(747\) | −38.0168 | + | 7.56200i | −1.39096 | + | 0.276679i | ||||
\(748\) | −11.5251 | + | 3.64909i | −0.421399 | + | 0.133424i | ||||
\(749\) | −13.1817 | + | 8.80771i | −0.481648 | + | 0.321827i | ||||
\(750\) | −34.4094 | + | 38.4301i | −1.25645 | + | 1.40327i | ||||
\(751\) | −1.88191 | − | 1.88191i | −0.0686719 | − | 0.0686719i | 0.671937 | − | 0.740609i | \(-0.265463\pi\) |
−0.740609 | + | 0.671937i | \(0.765463\pi\) | |||||||
\(752\) | 18.1399 | − | 28.6257i | 0.661494 | − | 1.04387i | ||||
\(753\) | 1.47249 | − | 1.47249i | 0.0536606 | − | 0.0536606i | ||||
\(754\) | 0.234850 | + | 4.25462i | 0.00855275 | + | 0.154944i | ||||
\(755\) | −7.14383 | − | 10.6915i | −0.259991 | − | 0.389104i | ||||
\(756\) | 36.4508 | + | 43.3345i | 1.32570 | + | 1.57606i | ||||
\(757\) | 7.70412 | + | 38.7312i | 0.280011 | + | 1.40771i | 0.823034 | + | 0.567992i | \(0.192280\pi\) |
−0.543023 | + | 0.839718i | \(0.682720\pi\) | |||||||
\(758\) | −21.8456 | − | 29.0856i | −0.793468 | − | 1.05644i | ||||
\(759\) | −1.65002 | − | 0.683463i | −0.0598921 | − | 0.0248081i | ||||
\(760\) | 12.4368 | + | 19.9197i | 0.451130 | + | 0.722565i | ||||
\(761\) | −7.53878 | + | 3.12266i | −0.273280 | + | 0.113196i | −0.515115 | − | 0.857121i | \(-0.672251\pi\) |
0.241835 | + | 0.970317i | \(0.422251\pi\) | |||||||
\(762\) | 48.0238 | − | 81.2344i | 1.73972 | − | 2.94281i | ||||
\(763\) | −6.97211 | + | 10.4345i | −0.252407 | + | 0.377754i | ||||
\(764\) | 1.12744 | + | 0.902636i | 0.0407892 | + | 0.0326562i | ||||
\(765\) | −48.1919 | − | 9.58596i | −1.74238 | − | 0.346581i | ||||
\(766\) | 10.1095 | − | 28.8027i | 0.365270 | − | 1.04068i | ||||
\(767\) | −1.07225 | −0.0387167 | ||||||||
\(768\) | 47.1864 | − | 11.7873i | 1.70269 | − | 0.425338i | ||||
\(769\) | 3.77877 | 0.136266 | 0.0681330 | − | 0.997676i | \(-0.478296\pi\) | ||||
0.0681330 | + | 0.997676i | \(0.478296\pi\) | |||||||
\(770\) | 2.79800 | − | 7.97175i | 0.100833 | − | 0.287282i | ||||
\(771\) | −72.5677 | − | 14.4346i | −2.61346 | − | 0.519850i | ||||
\(772\) | 8.28690 | + | 6.63457i | 0.298252 | + | 0.238783i | ||||
\(773\) | −2.84091 | + | 4.25173i | −0.102181 | + | 0.152924i | −0.879037 | − | 0.476754i | \(-0.841813\pi\) |
0.776856 | + | 0.629678i | \(0.216813\pi\) | |||||||
\(774\) | 17.4297 | − | 29.4831i | 0.626497 | − | 1.05975i | ||||
\(775\) | −21.1957 | + | 8.77956i | −0.761373 | + | 0.315371i | ||||
\(776\) | 20.6328 | + | 33.0472i | 0.740675 | + | 1.18632i | ||||
\(777\) | −4.34681 | − | 1.80051i | −0.155941 | − | 0.0645929i | ||||
\(778\) | −6.02917 | − | 8.02734i | −0.216156 | − | 0.287794i | ||||
\(779\) | −6.27971 | − | 31.5702i | −0.224994 | − | 1.13112i | ||||
\(780\) | 3.70204 | + | 4.40116i | 0.132554 | + | 0.157587i | ||||
\(781\) | −3.19312 | − | 4.77884i | −0.114259 | − | 0.171000i | ||||
\(782\) | 0.173509 | + | 3.14335i | 0.00620467 | + | 0.112406i | ||||
\(783\) | 36.5002 | − | 36.5002i | 1.30441 | − | 1.30441i | ||||
\(784\) | 4.26758 | + | 2.70434i | 0.152413 | + | 0.0965835i | ||||
\(785\) | 24.4485 | + | 24.4485i | 0.872605 | + | 0.872605i | ||||
\(786\) | 20.6382 | − | 23.0498i | 0.736142 | − | 0.822158i | ||||
\(787\) | −25.7884 | + | 17.2312i | −0.919257 | + | 0.614228i | −0.922596 | − | 0.385767i | \(-0.873937\pi\) |
0.00333965 | + | 0.999994i | \(0.498937\pi\) | |||||||
\(788\) | −28.4384 | + | 9.00422i | −1.01308 | + | 0.320762i | ||||
\(789\) | −30.9820 | + | 6.16271i | −1.10299 | + | 0.219398i | ||||
\(790\) | −0.496714 | − | 0.0706093i | −0.0176723 | − | 0.00251217i | ||||
\(791\) | −18.1907 | + | 43.9162i | −0.646786 | + | 1.56148i | ||||
\(792\) | −7.89043 | − | 20.8502i | −0.280374 | − | 0.740879i | ||||
\(793\) | −1.45249 | − | 3.50662i | −0.0515793 | − | 0.124524i | ||||
\(794\) | −18.2637 | + | 4.69254i | −0.648156 | + | 0.166532i | ||||
\(795\) | −17.2765 | − | 11.5438i | −0.612736 | − | 0.409417i | ||||
\(796\) | 0.922799 | + | 0.267768i | 0.0327077 | + | 0.00949077i | ||||
\(797\) | 0.860359 | − | 4.32532i | 0.0304755 | − | 0.153211i | −0.962551 | − | 0.271100i | \(-0.912613\pi\) |
0.993027 | + | 0.117889i | \(0.0376127\pi\) | |||||||
\(798\) | 27.0013 | + | 56.2064i | 0.955837 | + | 1.98968i | ||||
\(799\) | 40.5448i | 1.43437i | ||||||||
\(800\) | 3.53076 | + | 12.4797i | 0.124831 | + | 0.441224i | ||||
\(801\) | 24.2551i | 0.857013i | ||||||||
\(802\) | −15.3282 | + | 7.36362i | −0.541258 | + | 0.260018i | ||||
\(803\) | 0.243079 | − | 1.22204i | 0.00857807 | − | 0.0431249i | ||||
\(804\) | 17.9874 | + | 32.6933i | 0.634365 | + | 1.15300i | ||||
\(805\) | −1.82932 | − | 1.22231i | −0.0644751 | − | 0.0430809i | ||||
\(806\) | 2.02465 | + | 7.88008i | 0.0713151 | + | 0.277564i | ||||
\(807\) | 36.2868 | + | 87.6041i | 1.27736 | + | 3.08381i | ||||
\(808\) | −11.3607 | − | 0.351394i | −0.399668 | − | 0.0123620i | ||||
\(809\) | −4.29079 | + | 10.3589i | −0.150856 | + | 0.364199i | −0.981184 | − | 0.193077i | \(-0.938153\pi\) |
0.830327 | + | 0.557276i | \(0.188153\pi\) | |||||||
\(810\) | 3.67433 | − | 25.8478i | 0.129103 | − | 0.908198i | ||||
\(811\) | 3.92167 | − | 0.780069i | 0.137709 | − | 0.0273919i | −0.125755 | − | 0.992061i | \(-0.540135\pi\) |
0.263463 | + | 0.964669i | \(0.415135\pi\) | |||||||
\(812\) | 13.8802 | − | 26.7420i | 0.487098 | − | 0.938461i | ||||
\(813\) | −42.3363 | + | 28.2882i | −1.48480 | + | 0.992110i | ||||
\(814\) | 0.716548 | + | 0.641581i | 0.0251150 | + | 0.0224874i | ||||
\(815\) | −23.8528 | − | 23.8528i | −0.835528 | − | 0.835528i | ||||
\(816\) | −40.1365 | + | 42.1296i | −1.40506 | + | 1.47483i | ||||
\(817\) | 13.8476 | − | 13.8476i | 0.484467 | − | 0.484467i | ||||
\(818\) | 40.0060 | − | 2.20828i | 1.39878 | − | 0.0772109i | ||||
\(819\) | 5.72960 | + | 8.57495i | 0.200208 | + | 0.299633i | ||||
\(820\) | −1.80441 | + | 20.9142i | −0.0630129 | + | 0.730356i | ||||
\(821\) | −7.39036 | − | 37.1538i | −0.257925 | − | 1.29668i | −0.864895 | − | 0.501953i | \(-0.832615\pi\) |
0.606970 | − | 0.794725i | \(-0.292385\pi\) | |||||||
\(822\) | −38.0678 | + | 28.5919i | −1.32777 | + | 0.997258i | ||||
\(823\) | 13.1154 | + | 5.43259i | 0.457175 | + | 0.189368i | 0.599373 | − | 0.800470i | \(-0.295417\pi\) |
−0.142197 | + | 0.989838i | \(0.545417\pi\) | |||||||
\(824\) | −18.1753 | − | 12.9747i | −0.633167 | − | 0.451995i | ||||
\(825\) | 8.13270 | − | 3.36867i | 0.283144 | − | 0.117282i | ||||
\(826\) | 6.52654 | + | 3.85833i | 0.227087 | + | 0.134248i | ||||
\(827\) | 13.3036 | − | 19.9102i | 0.462611 | − | 0.692347i | −0.524674 | − | 0.851303i | \(-0.675813\pi\) |
0.987286 | + | 0.158956i | \(0.0508129\pi\) | |||||||
\(828\) | −5.77019 | + | 0.638962i | −0.200528 | + | 0.0222055i | ||||
\(829\) | 12.2166 | + | 2.43003i | 0.424299 | + | 0.0843983i | 0.402621 | − | 0.915367i | \(-0.368099\pi\) |
0.0216779 | + | 0.999765i | \(0.493099\pi\) | |||||||
\(830\) | 13.6381 | + | 4.78685i | 0.473387 | + | 0.166154i | ||||
\(831\) | 79.0731 | 2.74302 | ||||||||
\(832\) | 4.55788 | − | 0.616795i | 0.158016 | − | 0.0213835i | ||||
\(833\) | −6.04450 | −0.209430 | ||||||||
\(834\) | 15.6440 | + | 5.49088i | 0.541707 | + | 0.190134i | ||||
\(835\) | 23.4908 | + | 4.67260i | 0.812932 | + | 0.161702i | ||||
\(836\) | −1.40296 | − | 12.6695i | −0.0485224 | − | 0.438185i | ||||
\(837\) | 54.7570 | − | 81.9497i | 1.89268 | − | 2.83259i | ||||
\(838\) | 25.3611 | + | 14.9929i | 0.876085 | + | 0.517920i | ||||
\(839\) | −26.8826 | + | 11.1351i | −0.928089 | + | 0.384427i | −0.794953 | − | 0.606671i | \(-0.792505\pi\) |
−0.133136 | + | 0.991098i | \(0.542505\pi\) | |||||||
\(840\) | −6.69657 | − | 40.1102i | −0.231054 | − | 1.38393i | ||||
\(841\) | 1.41778 | + | 0.587262i | 0.0488888 | + | 0.0202504i | ||||
\(842\) | −25.1514 | + | 18.8907i | −0.866774 | + | 0.651016i | ||||
\(843\) | 14.5314 | + | 73.0540i | 0.500486 | + | 2.51612i | ||||
\(844\) | 29.2404 | + | 2.52277i | 1.00650 | + | 0.0868374i | ||||
\(845\) | −11.5815 | − | 17.3329i | −0.398415 | − | 0.596270i | ||||
\(846\) | −74.6548 | + | 4.12086i | −2.56669 | + | 0.141678i | ||||
\(847\) | 19.1161 | − | 19.1161i | 0.656836 | − | 0.656836i | ||||
\(848\) | −15.1939 | + | 6.72915i | −0.521761 | + | 0.231080i | ||||
\(849\) | 49.9329 | + | 49.9329i | 1.71369 | + | 1.71369i | ||||
\(850\) | −11.5599 | − | 10.3505i | −0.396503 | − | 0.355019i | ||||
\(851\) | 0.208255 | − | 0.139152i | 0.00713889 | − | 0.00477006i | ||||
\(852\) | −24.5539 | − | 12.7444i | −0.841201 | − | 0.436617i | ||||
\(853\) | 29.6923 | − | 5.90616i | 1.01664 | − | 0.202223i | 0.341479 | − | 0.939889i | \(-0.389072\pi\) |
0.675165 | + | 0.737666i | \(0.264072\pi\) | |||||||
\(854\) | −3.77708 | + | 26.5705i | −0.129249 | + | 0.909225i | ||||
\(855\) | 19.8270 | − | 47.8665i | 0.678068 | − | 1.63700i | ||||
\(856\) | 11.3659 | − | 10.6839i | 0.388480 | − | 0.365169i | ||||
\(857\) | −0.425175 | − | 1.02646i | −0.0145237 | − | 0.0350633i | 0.916451 | − | 0.400146i | \(-0.131041\pi\) |
−0.930975 | + | 0.365083i | \(0.881041\pi\) | |||||||
\(858\) | −0.776847 | − | 3.02355i | −0.0265211 | − | 0.103222i | ||||
\(859\) | −40.2028 | − | 26.8627i | −1.37170 | − | 0.916543i | −0.371773 | − | 0.928324i | \(-0.621250\pi\) |
−0.999931 | + | 0.0117809i | \(0.996250\pi\) | |||||||
\(860\) | −11.1896 | + | 6.15637i | −0.381564 | + | 0.209930i | ||||
\(861\) | −10.8743 | + | 54.6690i | −0.370596 | + | 1.86311i | ||||
\(862\) | 16.5304 | − | 7.94114i | 0.563027 | − | 0.270476i | ||||
\(863\) | − | 54.0259i | − | 1.83906i | −0.393018 | − | 0.919531i | \(-0.628569\pi\) | ||
0.393018 | − | 0.919531i | \(-0.371431\pi\) | |||||||
\(864\) | −42.3978 | − | 36.1507i | −1.44240 | − | 1.22987i | ||||
\(865\) | 30.5967i | 1.04032i | ||||||||
\(866\) | −7.84900 | − | 16.3386i | −0.266720 | − | 0.555208i | ||||
\(867\) | 3.49977 | − | 17.5945i | 0.118858 | − | 0.597542i | ||||
\(868\) | 16.0317 | − | 55.2497i | 0.544153 | − | 1.87530i | ||||
\(869\) | 0.226435 | + | 0.151299i | 0.00768127 | + | 0.00513246i | ||||
\(870\) | −35.9034 | + | 9.22473i | −1.21724 | + | 0.312748i | ||||
\(871\) | 1.35040 | + | 3.26016i | 0.0457567 | + | 0.110466i | ||||
\(872\) | 5.07584 | − | 11.2566i | 0.171890 | − | 0.381196i | ||||
\(873\) | 32.8932 | − | 79.4113i | 1.11327 | − | 2.68766i | ||||
\(874\) | −3.28644 | − | 0.467176i | −0.111165 | − | 0.0158025i | ||||
\(875\) | 33.8299 | − | 6.72919i | 1.14366 | − | 0.227488i | ||||
\(876\) | −1.81030 | − | 5.71754i | −0.0611643 | − | 0.193178i | ||||
\(877\) | 25.7807 | − | 17.2261i | 0.870552 | − | 0.581684i | −0.0380835 | − | 0.999275i | \(-0.512125\pi\) |
0.908635 | + | 0.417590i | \(0.137125\pi\) | |||||||
\(878\) | 38.1851 | − | 42.6469i | 1.28868 | − | 1.43926i | ||||
\(879\) | −60.8679 | − | 60.8679i | −2.05302 | − | 2.05302i | ||||
\(880\) | −1.42383 | + | 8.19010i | −0.0479974 | + | 0.276088i | ||||
\(881\) | 24.7406 | − | 24.7406i | 0.833533 | − | 0.833533i | −0.154465 | − | 0.987998i | \(-0.549365\pi\) |
0.987998 | + | 0.154465i | \(0.0493655\pi\) | |||||||
\(882\) | −0.614347 | − | 11.1297i | −0.0206861 | − | 0.374757i | ||||
\(883\) | −17.5606 | − | 26.2813i | −0.590962 | − | 0.884436i | 0.408639 | − | 0.912696i | \(-0.366003\pi\) |
−0.999601 | + | 0.0282597i | \(0.991003\pi\) | |||||||
\(884\) | −4.21106 | + | 3.54213i | −0.141633 | + | 0.119135i | ||||
\(885\) | −1.81981 | − | 9.14880i | −0.0611722 | − | 0.307534i | ||||
\(886\) | 1.45827 | + | 1.94157i | 0.0489917 | + | 0.0652284i | ||||
\(887\) | −15.7202 | − | 6.51152i | −0.527833 | − | 0.218635i | 0.102821 | − | 0.994700i | \(-0.467213\pi\) |
−0.630654 | + | 0.776064i | \(0.717213\pi\) | |||||||
\(888\) | 4.51041 | + | 1.04310i | 0.151359 | + | 0.0350043i | ||||
\(889\) | −58.2981 | + | 24.1479i | −1.95525 | + | 0.809893i | ||||
\(890\) | 4.60274 | − | 7.78575i | 0.154284 | − | 0.260979i | ||||
\(891\) | −7.87321 | + | 11.7831i | −0.263763 | + | 0.394749i | ||||
\(892\) | 25.6792 | − | 32.0746i | 0.859805 | − | 1.07394i | ||||
\(893\) | −41.9301 | − | 8.34041i | −1.40314 | − | 0.279101i | ||||
\(894\) | −31.6742 | + | 90.2425i | −1.05934 | + | 3.01816i | ||||
\(895\) | −17.7512 | −0.593357 | ||||||||
\(896\) | −29.9623 | − | 12.6466i | −1.00097 | − | 0.422493i | ||||
\(897\) | −0.812945 | −0.0271434 | ||||||||
\(898\) | −11.5273 | + | 32.8423i | −0.384671 | + | 1.09596i | ||||
\(899\) | −51.4340 | − | 10.2309i | −1.71542 | − | 0.341218i | ||||
\(900\) | 17.8834 | − | 22.3372i | 0.596114 | − | 0.744575i | ||||
\(901\) | 11.0452 | − | 16.5303i | 0.367968 | − | 0.550704i | ||||
\(902\) | 5.79869 | − | 9.80874i | 0.193075 | − | 0.326595i | ||||
\(903\) | −31.3306 | + | 12.9776i | −1.04262 | + | 0.431867i | ||||
\(904\) | 10.5386 | − | 45.5690i | 0.350507 | − | 1.51560i | ||||
\(905\) | 5.43938 | + | 2.25306i | 0.180811 | + | 0.0748944i | ||||
\(906\) | 20.1759 | + | 26.8625i | 0.670299 | + | 0.892447i | ||||
\(907\) | 7.39593 | + | 37.1818i | 0.245578 | + | 1.23460i | 0.884943 | + | 0.465699i | \(0.154197\pi\) |
−0.639365 | + | 0.768903i | \(0.720803\pi\) | |||||||
\(908\) | −30.0643 | + | 25.2886i | −0.997720 | + | 0.839233i | ||||
\(909\) | 13.9318 | + | 20.8504i | 0.462088 | + | 0.691564i | ||||
\(910\) | −0.211951 | − | 3.83978i | −0.00702612 | − | 0.127287i | ||||
\(911\) | −30.6254 | + | 30.6254i | −1.01467 | + | 1.01467i | −0.0147749 | + | 0.999891i | \(0.504703\pi\) |
−0.999891 | + | 0.0147749i | \(0.995297\pi\) | |||||||
\(912\) | −35.3126 | − | 50.1743i | −1.16932 | − | 1.66144i | ||||
\(913\) | −5.54770 | − | 5.54770i | −0.183602 | − | 0.183602i | ||||
\(914\) | 0.983270 | − | 1.09816i | 0.0325237 | − | 0.0363240i | ||||
\(915\) | 27.4545 | − | 18.3445i | 0.907618 | − | 0.606451i | ||||
\(916\) | 13.1725 | + | 41.6034i | 0.435233 | + | 1.37461i | ||||
\(917\) | −20.2907 | + | 4.03606i | −0.670057 | + | 0.133283i | ||||
\(918\) | 65.9964 | + | 9.38157i | 2.17821 | + | 0.309638i | ||||
\(919\) | 3.89489 | − | 9.40310i | 0.128481 | − | 0.310180i | −0.846529 | − | 0.532343i | \(-0.821312\pi\) |
0.975010 | + | 0.222163i | \(0.0713117\pi\) | |||||||
\(920\) | 1.97345 | + | 0.889869i | 0.0650626 | + | 0.0293381i | ||||
\(921\) | 12.5988 | + | 30.4163i | 0.415146 | + | 1.00225i | ||||
\(922\) | −19.0528 | + | 4.89527i | −0.627469 | + | 0.161217i | ||||
\(923\) | −2.17524 | − | 1.45345i | −0.0715990 | − | 0.0478409i | ||||
\(924\) | −6.15130 | + | 21.1990i | −0.202363 | + | 0.697397i | ||||
\(925\) | −0.240840 | + | 1.21079i | −0.00791878 | + | 0.0398104i | ||||
\(926\) | −7.18465 | − | 14.9557i | −0.236102 | − | 0.491474i | ||||
\(927\) | 49.2684i | 1.61819i | ||||||||
\(928\) | −9.13789 | + | 28.2027i | −0.299966 | + | 0.925799i | ||||
\(929\) | 0.932872i | 0.0306066i | 0.999883 | + | 0.0153033i | \(0.00487137\pi\) | ||||
−0.999883 | + | 0.0153033i | \(0.995129\pi\) | |||||||
\(930\) | −63.7994 | + | 30.6490i | −2.09206 | + | 1.00502i | ||||
\(931\) | 1.24341 | − | 6.25102i | 0.0407510 | − | 0.204869i | ||||
\(932\) | 6.85721 | − | 3.77273i | 0.224615 | − | 0.123580i | ||||
\(933\) | 18.9129 | + | 12.6372i | 0.619182 | + | 0.413724i | ||||
\(934\) | 0.101600 | + | 0.395433i | 0.00332444 | + | 0.0129390i | ||||
\(935\) | −3.80598 | − | 9.18845i | −0.124469 | − | 0.300494i | ||||
\(936\) | −6.95011 | − | 7.39378i | −0.227171 | − | 0.241673i | ||||
\(937\) | 9.77432 | − | 23.5973i | 0.319313 | − | 0.770890i | −0.679978 | − | 0.733233i | \(-0.738010\pi\) |
0.999291 | − | 0.0376573i | \(-0.0119895\pi\) | |||||||
\(938\) | 3.51162 | − | 24.7031i | 0.114658 | − | 0.806586i | ||||
\(939\) | 67.5940 | − | 13.4453i | 2.20585 | − | 0.438770i | ||||
\(940\) | 24.7457 | + | 12.8440i | 0.807117 | + | 0.418925i | ||||
\(941\) | 14.0830 | − | 9.40994i | 0.459092 | − | 0.306755i | −0.304433 | − | 0.952534i | \(-0.598467\pi\) |
0.763525 | + | 0.645778i | \(0.223467\pi\) | |||||||
\(942\) | −67.3001 | − | 60.2590i | −2.19276 | − | 1.96334i | ||||
\(943\) | −2.09819 | − | 2.09819i | −0.0683266 | − | 0.0683266i | ||||
\(944\) | −6.95931 | − | 2.68707i | −0.226506 | − | 0.0874568i | ||||
\(945\) | −32.9413 | + | 32.9413i | −1.07158 | + | 1.07158i | ||||
\(946\) | 6.92188 | − | 0.382080i | 0.225050 | − | 0.0124225i | ||||
\(947\) | 13.0115 | + | 19.4731i | 0.422818 | + | 0.632791i | 0.980327 | − | 0.197379i | \(-0.0632430\pi\) |
−0.557510 | + | 0.830171i | \(0.688243\pi\) | |||||||
\(948\) | 1.30596 | + | 0.112674i | 0.0424156 | + | 0.00365949i | ||||
\(949\) | −0.110645 | − | 0.556252i | −0.00359170 | − | 0.0180567i | ||||
\(950\) | 13.0821 | − | 9.82572i | 0.424441 | − | 0.318789i | ||||
\(951\) | 37.0752 | + | 15.3571i | 1.20225 | + | 0.497987i | ||||
\(952\) | 38.3776 | − | 6.40731i | 1.24383 | − | 0.207662i | ||||
\(953\) | 44.5204 | − | 18.4410i | 1.44216 | − | 0.597361i | 0.481838 | − | 0.876261i | \(-0.339970\pi\) |
0.960320 | + | 0.278899i | \(0.0899695\pi\) | |||||||
\(954\) | 31.5597 | + | 18.6573i | 1.02178 | + | 0.604054i | ||||
\(955\) | −0.660114 | + | 0.987930i | −0.0213608 | + | 0.0319687i | ||||
\(956\) | −1.51855 | − | 13.7133i | −0.0491133 | − | 0.443521i | ||||
\(957\) | 19.7350 | + | 3.92553i | 0.637941 | + | 0.126894i | ||||
\(958\) | 36.5618 | + | 12.8328i | 1.18126 | + | 0.414610i | ||||
\(959\) | 31.8352 | 1.02801 | ||||||||
\(960\) | 12.9983 | + | 37.8426i | 0.419518 | + | 1.22137i | ||||
\(961\) | −69.1305 | −2.23002 | ||||||||
\(962\) | 0.413090 | + | 0.144990i | 0.0133186 | + | 0.00467468i | ||||
\(963\) | −33.7542 | − | 6.71413i | −1.08771 | − | 0.216360i | ||||
\(964\) | −4.79428 | + | 0.530895i | −0.154413 | + | 0.0170990i | ||||
\(965\) | −4.85198 | + | 7.26150i | −0.156191 | + | 0.233756i | ||||
\(966\) | 4.94821 | + | 2.92526i | 0.159206 | + | 0.0941188i | ||||
\(967\) | 25.4255 | − | 10.5316i | 0.817629 | − | 0.338673i | 0.0656353 | − | 0.997844i | \(-0.479093\pi\) |
0.751993 | + | 0.659171i | \(0.229093\pi\) | |||||||
\(968\) | −15.4551 | + | 21.6499i | −0.496745 | + | 0.695855i | ||||
\(969\) | 67.8169 | + | 28.0907i | 2.17859 | + | 0.902402i | ||||
\(970\) | −25.6279 | + | 19.2486i | −0.822863 | + | 0.618035i | ||||
\(971\) | 3.37327 | + | 16.9586i | 0.108254 | + | 0.544227i | 0.996408 | + | 0.0846822i | \(0.0269875\pi\) |
−0.888154 | + | 0.459545i | \(0.848012\pi\) | |||||||
\(972\) | −0.783406 | + | 9.08014i | −0.0251278 | + | 0.291246i | ||||
\(973\) | −6.15926 | − | 9.21798i | −0.197457 | − | 0.295515i | ||||
\(974\) | −43.3477 | + | 2.39275i | −1.38895 | + | 0.0766685i | ||||
\(975\) | 2.83328 | − | 2.83328i | 0.0907377 | − | 0.0907377i | ||||
\(976\) | −0.639568 | − | 26.3992i | −0.0204721 | − | 0.845019i | ||||
\(977\) | −26.1853 | − | 26.1853i | −0.837743 | − | 0.837743i | 0.150818 | − | 0.988562i | \(-0.451809\pi\) |
−0.988562 | + | 0.150818i | \(0.951809\pi\) | |||||||
\(978\) | 65.6603 | + | 58.7907i | 2.09958 | + | 1.87992i | ||||
\(979\) | −4.08204 | + | 2.72753i | −0.130463 | + | 0.0871723i | ||||
\(980\) | −1.91481 | + | 3.68915i | −0.0611664 | + | 0.117845i | ||||
\(981\) | −26.7195 | + | 5.31485i | −0.853089 | + | 0.169690i | ||||
\(982\) | 0.291449 | − | 2.05025i | 0.00930050 | − | 0.0654261i | ||||
\(983\) | −0.628339 | + | 1.51695i | −0.0200409 | + | 0.0483831i | −0.933583 | − | 0.358361i | \(-0.883336\pi\) |
0.913542 | + | 0.406744i | \(0.133336\pi\) | |||||||
\(984\) | 1.69560 | − | 54.8193i | 0.0540538 | − | 1.74758i | ||||
\(985\) | −9.39134 | − | 22.6727i | −0.299233 | − | 0.722412i | ||||
\(986\) | −8.82627 | − | 34.3525i | −0.281086 | − | 1.09401i | ||||
\(987\) | 61.5547 | + | 41.1295i | 1.95931 | + | 1.30917i | ||||
\(988\) | −2.79691 | − | 5.08358i | −0.0889815 | − | 0.161730i | ||||
\(989\) | 0.352195 | − | 1.77060i | 0.0111991 | − | 0.0563019i | ||||
\(990\) | 16.5318 | − | 7.94182i | 0.525415 | − | 0.252408i | ||||
\(991\) | − | 0.482249i | − | 0.0153191i | −0.999971 | − | 0.00765957i | \(-0.997562\pi\) | ||
0.999971 | − | 0.00765957i | \(-0.00243814\pi\) | |||||||
\(992\) | −6.60687 | + | 56.2186i | −0.209768 | + | 1.78494i | ||||
\(993\) | − | 15.5019i | − | 0.491938i | ||||||
\(994\) | 8.01019 | + | 16.6741i | 0.254068 | + | 0.528871i | ||||
\(995\) | −0.154218 | + | 0.775305i | −0.00488903 | + | 0.0245788i | ||||
\(996\) | −36.2675 | − | 10.5237i | −1.14918 | − | 0.333456i | ||||
\(997\) | −5.71075 | − | 3.81580i | −0.180861 | − | 0.120848i | 0.461844 | − | 0.886961i | \(-0.347188\pi\) |
−0.642705 | + | 0.766114i | \(0.722188\pi\) | |||||||
\(998\) | 20.5518 | − | 5.28041i | 0.650555 | − | 0.167149i | ||||
\(999\) | −2.02955 | − | 4.89978i | −0.0642123 | − | 0.155022i |
(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 | 64.2.i.a.29.6 | ✓ | 56 | |
3.2 | odd | 2 | 576.2.bd.a.541.2 | 56 | |||
4.3 | odd | 2 | 256.2.i.a.209.7 | 56 | |||
8.3 | odd | 2 | 512.2.i.a.161.1 | 56 | |||
8.5 | even | 2 | 512.2.i.b.161.7 | 56 | |||
64.11 | odd | 16 | 256.2.i.a.49.7 | 56 | |||
64.21 | even | 16 | 512.2.i.b.353.7 | 56 | |||
64.43 | odd | 16 | 512.2.i.a.353.1 | 56 | |||
64.53 | even | 16 | inner | 64.2.i.a.53.6 | yes | 56 | |
192.53 | odd | 16 | 576.2.bd.a.181.2 | 56 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
64.2.i.a.29.6 | ✓ | 56 | 1.1 | even | 1 | trivial | |
64.2.i.a.53.6 | yes | 56 | 64.53 | even | 16 | inner | |
256.2.i.a.49.7 | 56 | 64.11 | odd | 16 | |||
256.2.i.a.209.7 | 56 | 4.3 | odd | 2 | |||
512.2.i.a.161.1 | 56 | 8.3 | odd | 2 | |||
512.2.i.a.353.1 | 56 | 64.43 | odd | 16 | |||
512.2.i.b.161.7 | 56 | 8.5 | even | 2 | |||
512.2.i.b.353.7 | 56 | 64.21 | even | 16 | |||
576.2.bd.a.181.2 | 56 | 192.53 | odd | 16 | |||
576.2.bd.a.541.2 | 56 | 3.2 | odd | 2 |