Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [552,2,Mod(13,552)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(552, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 11, 0, 14]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("552.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 552 = 2^{3} \cdot 3 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 552.bb (of order \(22\), degree \(10\), 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: | \(4.40774219157\) |
Analytic rank: | \(0\) |
Dimension: | \(480\) |
Relative dimension: | \(48\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 85.29 | ||
Character | \(\chi\) | \(=\) | 552.85 |
Dual form | 552.2.bb.a.13.29 |
$q$-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 \(\left(\mathbb{Z}/552\mathbb{Z}\right)^\times\).
\(n\) | \(97\) | \(185\) | \(277\) | \(415\) |
\(\chi(n)\) | \(e\left(\frac{4}{11}\right)\) | \(1\) | \(-1\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.536245 | + | 1.30860i | 0.379182 | + | 0.925322i | ||||
\(3\) | −0.540641 | − | 0.841254i | −0.312139 | − | 0.485698i | ||||
\(4\) | −1.42488 | + | 1.40346i | −0.712442 | + | 0.701731i | ||||
\(5\) | −2.26933 | + | 1.03637i | −1.01488 | + | 0.463479i | −0.852208 | − | 0.523202i | \(-0.824737\pi\) |
−0.162668 | + | 0.986681i | \(0.552010\pi\) | |||||||
\(6\) | 0.810951 | − | 1.15860i | 0.331069 | − | 0.472997i | ||||
\(7\) | −2.49497 | + | 0.732589i | −0.943009 | + | 0.276893i | −0.716874 | − | 0.697203i | \(-0.754428\pi\) |
−0.226136 | + | 0.974096i | \(0.572609\pi\) | |||||||
\(8\) | −2.60066 | − | 1.11201i | −0.919473 | − | 0.393154i | ||||
\(9\) | −0.415415 | + | 0.909632i | −0.138472 | + | 0.303211i | ||||
\(10\) | −2.57311 | − | 2.41391i | −0.813690 | − | 0.763345i | ||||
\(11\) | 3.71536 | − | 3.21937i | 1.12022 | − | 0.970678i | 0.120465 | − | 0.992718i | \(-0.461561\pi\) |
0.999757 | + | 0.0220398i | \(0.00701604\pi\) | |||||||
\(12\) | 1.95102 | + | 0.439919i | 0.563210 | + | 0.126994i | ||||
\(13\) | 1.81486 | − | 6.18084i | 0.503352 | − | 1.71426i | −0.179551 | − | 0.983749i | \(-0.557465\pi\) |
0.682903 | − | 0.730509i | \(-0.260717\pi\) | |||||||
\(14\) | −2.29658 | − | 2.87208i | −0.613787 | − | 0.767595i | ||||
\(15\) | 2.09874 | + | 1.34878i | 0.541893 | + | 0.348254i | ||||
\(16\) | 0.0605865 | − | 3.99954i | 0.0151466 | − | 0.999885i | ||||
\(17\) | 0.253473 | − | 1.76294i | 0.0614762 | − | 0.427576i | −0.935720 | − | 0.352744i | \(-0.885249\pi\) |
0.997196 | − | 0.0748325i | \(-0.0238422\pi\) | |||||||
\(18\) | −1.41311 | − | 0.0558281i | −0.333074 | − | 0.0131588i | ||||
\(19\) | 2.93640 | − | 0.422191i | 0.673657 | − | 0.0968572i | 0.203007 | − | 0.979177i | \(-0.434929\pi\) |
0.470650 | + | 0.882320i | \(0.344019\pi\) | |||||||
\(20\) | 1.77903 | − | 4.66163i | 0.397803 | − | 1.04237i | ||||
\(21\) | 1.96517 | + | 1.70283i | 0.428836 | + | 0.371589i | ||||
\(22\) | 6.20522 | + | 3.13555i | 1.32296 | + | 0.668502i | ||||
\(23\) | 1.87931 | + | 4.41228i | 0.391864 | + | 0.920023i | ||||
\(24\) | 0.470543 | + | 2.78901i | 0.0960492 | + | 0.569305i | ||||
\(25\) | 0.801505 | − | 0.924986i | 0.160301 | − | 0.184997i | ||||
\(26\) | 9.06148 | − | 0.939513i | 1.77710 | − | 0.184254i | ||||
\(27\) | 0.989821 | − | 0.142315i | 0.190491 | − | 0.0273885i | ||||
\(28\) | 2.52688 | − | 4.54545i | 0.477535 | − | 0.859009i | ||||
\(29\) | −8.21491 | − | 1.18113i | −1.52547 | − | 0.219329i | −0.672031 | − | 0.740523i | \(-0.734578\pi\) |
−0.853439 | + | 0.521193i | \(0.825487\pi\) | |||||||
\(30\) | −0.639578 | + | 3.46970i | −0.116771 | + | 0.633477i | ||||
\(31\) | −7.54861 | − | 4.85119i | −1.35577 | − | 0.871300i | −0.357726 | − | 0.933826i | \(-0.616448\pi\) |
−0.998043 | + | 0.0625263i | \(0.980084\pi\) | |||||||
\(32\) | 5.26630 | − | 2.06545i | 0.930959 | − | 0.365123i | ||||
\(33\) | −4.71698 | − | 1.38503i | −0.821121 | − | 0.241103i | ||||
\(34\) | 2.44291 | − | 0.613673i | 0.418956 | − | 0.105244i | ||||
\(35\) | 4.90268 | − | 4.24820i | 0.828704 | − | 0.718076i | ||||
\(36\) | −0.684716 | − | 1.87914i | −0.114119 | − | 0.313190i | ||||
\(37\) | −6.44490 | − | 2.94329i | −1.05953 | − | 0.483873i | −0.192075 | − | 0.981380i | \(-0.561522\pi\) |
−0.867460 | + | 0.497507i | \(0.834249\pi\) | |||||||
\(38\) | 2.12711 | + | 3.61619i | 0.345063 | + | 0.586623i | ||||
\(39\) | −6.18084 | + | 1.81486i | −0.989727 | + | 0.290610i | ||||
\(40\) | 7.05422 | − | 0.171730i | 1.11537 | − | 0.0271529i | ||||
\(41\) | −1.79665 | − | 3.93411i | −0.280589 | − | 0.614405i | 0.715893 | − | 0.698210i | \(-0.246020\pi\) |
−0.996482 | + | 0.0838053i | \(0.973293\pi\) | |||||||
\(42\) | −1.17452 | + | 3.48477i | −0.181232 | + | 0.537711i | ||||
\(43\) | −2.68440 | − | 4.17701i | −0.409367 | − | 0.636988i | 0.573949 | − | 0.818891i | \(-0.305411\pi\) |
−0.983316 | + | 0.181903i | \(0.941774\pi\) | |||||||
\(44\) | −0.775679 | + | 9.80160i | −0.116938 | + | 1.47765i | ||||
\(45\) | − | 2.49478i | − | 0.371900i | ||||||
\(46\) | −4.76615 | + | 4.82533i | −0.702730 | + | 0.711457i | ||||
\(47\) | 8.53380 | 1.24478 | 0.622391 | − | 0.782706i | \(-0.286161\pi\) | ||||
0.622391 | + | 0.782706i | \(0.286161\pi\) | |||||||
\(48\) | −3.39738 | + | 2.11135i | −0.490370 | + | 0.304747i | ||||
\(49\) | −0.200594 | + | 0.128914i | −0.0286563 | + | 0.0184163i | ||||
\(50\) | 1.64024 | + | 0.552833i | 0.231965 | + | 0.0781824i | ||||
\(51\) | −1.62012 | + | 0.739884i | −0.226862 | + | 0.103604i | ||||
\(52\) | 6.08862 | + | 11.3541i | 0.844340 | + | 1.57453i | ||||
\(53\) | −1.11051 | − | 3.78203i | −0.152540 | − | 0.519502i | 0.847395 | − | 0.530964i | \(-0.178170\pi\) |
−0.999934 | + | 0.0114611i | \(0.996352\pi\) | |||||||
\(54\) | 0.717020 | + | 1.21897i | 0.0975741 | + | 0.165880i | ||||
\(55\) | −5.09492 | + | 11.1563i | −0.686998 | + | 1.50432i | ||||
\(56\) | 7.30321 | + | 0.869209i | 0.975933 | + | 0.116153i | ||||
\(57\) | −1.94271 | − | 2.24201i | −0.257318 | − | 0.296961i | ||||
\(58\) | −2.85957 | − | 11.3834i | −0.375481 | − | 1.49472i | ||||
\(59\) | −4.07872 | + | 13.8908i | −0.531004 | + | 1.80843i | 0.0554637 | + | 0.998461i | \(0.482336\pi\) |
−0.586468 | + | 0.809973i | \(0.699482\pi\) | |||||||
\(60\) | −4.88343 | + | 1.02365i | −0.630448 | + | 0.132153i | ||||
\(61\) | 5.74932 | − | 8.94611i | 0.736125 | − | 1.14543i | −0.248139 | − | 0.968724i | \(-0.579819\pi\) |
0.984263 | − | 0.176708i | \(-0.0565447\pi\) | |||||||
\(62\) | 2.30039 | − | 12.4796i | 0.292150 | − | 1.58490i | ||||
\(63\) | 0.370061 | − | 2.57383i | 0.0466233 | − | 0.324272i | ||||
\(64\) | 5.52688 | + | 5.78391i | 0.690860 | + | 0.722989i | ||||
\(65\) | 2.28712 | + | 15.9073i | 0.283682 | + | 1.97305i | ||||
\(66\) | −0.717000 | − | 6.91537i | −0.0882567 | − | 0.851224i | ||||
\(67\) | −7.32397 | − | 6.34625i | −0.894765 | − | 0.775318i | 0.0804081 | − | 0.996762i | \(-0.474378\pi\) |
−0.975173 | + | 0.221444i | \(0.928923\pi\) | |||||||
\(68\) | 2.11305 | + | 2.86773i | 0.256245 | + | 0.347763i | ||||
\(69\) | 2.69581 | − | 3.96644i | 0.324537 | − | 0.477503i | ||||
\(70\) | 8.18824 | + | 4.13759i | 0.978682 | + | 0.494537i | ||||
\(71\) | −3.72958 | + | 4.30416i | −0.442620 | + | 0.510810i | −0.932594 | − | 0.360926i | \(-0.882461\pi\) |
0.489975 | + | 0.871737i | \(0.337006\pi\) | |||||||
\(72\) | 2.09187 | − | 1.90370i | 0.246529 | − | 0.224353i | ||||
\(73\) | −1.02497 | − | 7.12881i | −0.119964 | − | 0.834365i | −0.957593 | − | 0.288125i | \(-0.906968\pi\) |
0.837629 | − | 0.546239i | \(-0.183941\pi\) | |||||||
\(74\) | 0.395552 | − | 10.0121i | 0.0459820 | − | 1.16389i | ||||
\(75\) | −1.21147 | − | 0.174184i | −0.139889 | − | 0.0201130i | ||||
\(76\) | −3.59150 | + | 4.72270i | −0.411974 | + | 0.541731i | ||||
\(77\) | −6.91122 | + | 10.7541i | −0.787606 | + | 1.22554i | ||||
\(78\) | −5.68938 | − | 7.11506i | −0.644195 | − | 0.805622i | ||||
\(79\) | 0.901525 | + | 0.264712i | 0.101429 | + | 0.0297824i | 0.332053 | − | 0.943261i | \(-0.392259\pi\) |
−0.230624 | + | 0.973043i | \(0.574077\pi\) | |||||||
\(80\) | 4.00751 | + | 9.13908i | 0.448053 | + | 1.02178i | ||||
\(81\) | −0.654861 | − | 0.755750i | −0.0727623 | − | 0.0839722i | ||||
\(82\) | 4.18475 | − | 4.46074i | 0.462128 | − | 0.492607i | ||||
\(83\) | 5.74905 | + | 2.62550i | 0.631040 | + | 0.288186i | 0.705144 | − | 0.709064i | \(-0.250882\pi\) |
−0.0741040 | + | 0.997251i | \(0.523610\pi\) | |||||||
\(84\) | −5.19001 | + | 0.331709i | −0.566276 | + | 0.0361924i | ||||
\(85\) | 1.25185 | + | 4.26339i | 0.135782 | + | 0.462430i | ||||
\(86\) | 4.02655 | − | 5.75271i | 0.434194 | − | 0.620331i | ||||
\(87\) | 3.44769 | + | 7.54938i | 0.369631 | + | 0.809379i | ||||
\(88\) | −13.2424 | + | 4.24100i | −1.41164 | + | 0.452092i | ||||
\(89\) | −1.07103 | + | 0.688312i | −0.113529 | + | 0.0729609i | −0.596173 | − | 0.802856i | \(-0.703313\pi\) |
0.482644 | + | 0.875817i | \(0.339677\pi\) | |||||||
\(90\) | 3.26468 | − | 1.33781i | 0.344127 | − | 0.141018i | ||||
\(91\) | 16.7506i | 1.75594i | ||||||||
\(92\) | −8.87027 | − | 3.64943i | −0.924789 | − | 0.380480i | ||||
\(93\) | 8.97304i | 0.930461i | ||||||||
\(94\) | 4.57620 | + | 11.1674i | 0.471999 | + | 1.15182i | ||||
\(95\) | −6.22613 | + | 4.00129i | −0.638787 | + | 0.410524i | ||||
\(96\) | −4.58474 | − | 3.31363i | −0.467928 | − | 0.338196i | ||||
\(97\) | −3.10826 | − | 6.80614i | −0.315596 | − | 0.691059i | 0.683653 | − | 0.729807i | \(-0.260390\pi\) |
−0.999249 | + | 0.0387485i | \(0.987663\pi\) | |||||||
\(98\) | −0.276264 | − | 0.193368i | −0.0279069 | − | 0.0195332i | ||||
\(99\) | 1.38503 | + | 4.71698i | 0.139201 | + | 0.474075i | ||||
\(100\) | 0.156132 | + | 2.44288i | 0.0156132 | + | 0.244288i | ||||
\(101\) | 10.6491 | + | 4.86327i | 1.05962 | + | 0.483913i | 0.867490 | − | 0.497455i | \(-0.165732\pi\) |
0.192133 | + | 0.981369i | \(0.438459\pi\) | |||||||
\(102\) | −1.83699 | − | 1.72333i | −0.181890 | − | 0.170636i | ||||
\(103\) | 2.31960 | + | 2.67696i | 0.228557 | + | 0.263769i | 0.858432 | − | 0.512928i | \(-0.171439\pi\) |
−0.629875 | + | 0.776697i | \(0.716894\pi\) | |||||||
\(104\) | −11.5930 | + | 14.0561i | −1.13679 | + | 1.37832i | ||||
\(105\) | −6.22440 | − | 1.82765i | −0.607439 | − | 0.178360i | ||||
\(106\) | 4.35368 | − | 3.48131i | 0.422867 | − | 0.338134i | ||||
\(107\) | 10.0446 | − | 15.6297i | 0.971045 | − | 1.51098i | 0.115461 | − | 0.993312i | \(-0.463165\pi\) |
0.855584 | − | 0.517664i | \(-0.173198\pi\) | |||||||
\(108\) | −1.21065 | + | 1.59196i | −0.116495 | + | 0.153186i | ||||
\(109\) | −7.46777 | − | 1.07370i | −0.715283 | − | 0.102842i | −0.224941 | − | 0.974372i | \(-0.572219\pi\) |
−0.490342 | + | 0.871530i | \(0.663128\pi\) | |||||||
\(110\) | −17.3313 | − | 0.684712i | −1.65248 | − | 0.0652847i | ||||
\(111\) | 1.00833 | + | 7.01305i | 0.0957060 | + | 0.665650i | ||||
\(112\) | 2.77886 | + | 10.0231i | 0.262577 | + | 0.947095i | ||||
\(113\) | 7.98575 | − | 9.21604i | 0.751236 | − | 0.866972i | −0.243452 | − | 0.969913i | \(-0.578280\pi\) |
0.994687 | + | 0.102941i | \(0.0328252\pi\) | |||||||
\(114\) | 1.89213 | − | 3.74450i | 0.177214 | − | 0.350704i | ||||
\(115\) | −8.83754 | − | 8.06526i | −0.824105 | − | 0.752089i | ||||
\(116\) | 13.3630 | − | 9.84635i | 1.24072 | − | 0.914210i | ||||
\(117\) | 4.86837 | + | 4.21847i | 0.450081 | + | 0.389998i | ||||
\(118\) | −20.3648 | + | 2.11146i | −1.87473 | + | 0.194376i | ||||
\(119\) | 0.659105 | + | 4.58418i | 0.0604201 | + | 0.420231i | ||||
\(120\) | −3.95827 | − | 5.84154i | −0.361339 | − | 0.533257i | ||||
\(121\) | 1.87404 | − | 13.0342i | 0.170367 | − | 1.18493i | ||||
\(122\) | 14.7899 | + | 2.72627i | 1.33902 | + | 0.246825i | ||||
\(123\) | −2.33824 | + | 3.63838i | −0.210832 | + | 0.328061i | ||||
\(124\) | 17.5644 | − | 3.68180i | 1.57733 | − | 0.330635i | ||||
\(125\) | 2.65405 | − | 9.03887i | 0.237386 | − | 0.808461i | ||||
\(126\) | 3.56657 | − | 0.895940i | 0.317735 | − | 0.0798167i | ||||
\(127\) | 0.500748 | + | 0.577895i | 0.0444342 | + | 0.0512798i | 0.777532 | − | 0.628844i | \(-0.216472\pi\) |
−0.733097 | + | 0.680124i | \(0.761926\pi\) | |||||||
\(128\) | −4.60509 | + | 10.3341i | −0.407036 | + | 0.913412i | ||||
\(129\) | −2.06263 | + | 4.51652i | −0.181604 | + | 0.397658i | ||||
\(130\) | −19.5898 | + | 11.5231i | −1.71814 | + | 1.01064i | ||||
\(131\) | 1.78108 | + | 6.06579i | 0.155614 | + | 0.529971i | 0.999983 | − | 0.00578998i | \(-0.00184302\pi\) |
−0.844370 | + | 0.535761i | \(0.820025\pi\) | |||||||
\(132\) | 8.66499 | − | 4.64660i | 0.754191 | − | 0.404435i | ||||
\(133\) | −7.01694 | + | 3.20453i | −0.608446 | + | 0.277868i | ||||
\(134\) | 4.37729 | − | 12.9873i | 0.378140 | − | 1.12193i | ||||
\(135\) | −2.09874 | + | 1.34878i | −0.180631 | + | 0.116085i | ||||
\(136\) | −2.61960 | + | 4.30295i | −0.224629 | + | 0.368975i | ||||
\(137\) | −1.06203 | −0.0907357 | −0.0453678 | − | 0.998970i | \(-0.514446\pi\) | ||||
−0.0453678 | + | 0.998970i | \(0.514446\pi\) | |||||||
\(138\) | 6.63610 | + | 1.40076i | 0.564903 | + | 0.119241i | ||||
\(139\) | 8.91669i | 0.756304i | 0.925744 | + | 0.378152i | \(0.123440\pi\) | ||||
−0.925744 | + | 0.378152i | \(0.876560\pi\) | |||||||
\(140\) | −1.02356 | + | 12.9339i | −0.0865070 | + | 1.09312i | ||||
\(141\) | −4.61372 | − | 7.17909i | −0.388545 | − | 0.604588i | ||||
\(142\) | −7.63241 | − | 2.57245i | −0.640498 | − | 0.215876i | ||||
\(143\) | −13.1556 | − | 28.8068i | −1.10013 | − | 2.40894i | ||||
\(144\) | 3.61294 | + | 1.71658i | 0.301079 | + | 0.143048i | ||||
\(145\) | 19.8664 | − | 5.83331i | 1.64982 | − | 0.484430i | ||||
\(146\) | 8.77915 | − | 5.16406i | 0.726568 | − | 0.427381i | ||||
\(147\) | 0.216898 | + | 0.0990542i | 0.0178895 | + | 0.00816985i | ||||
\(148\) | 13.3140 | − | 4.85133i | 1.09441 | − | 0.398777i | ||||
\(149\) | −9.19730 | + | 7.96951i | −0.753472 | + | 0.652887i | −0.944431 | − | 0.328711i | \(-0.893386\pi\) |
0.190958 | + | 0.981598i | \(0.438840\pi\) | |||||||
\(150\) | −0.421709 | − | 1.67874i | −0.0344324 | − | 0.137069i | ||||
\(151\) | 16.3136 | + | 4.79011i | 1.32758 | + | 0.389813i | 0.867223 | − | 0.497919i | \(-0.165902\pi\) |
0.460359 | + | 0.887733i | \(0.347721\pi\) | |||||||
\(152\) | −8.10607 | − | 2.16733i | −0.657489 | − | 0.175793i | ||||
\(153\) | 1.49833 | + | 0.962920i | 0.121133 | + | 0.0778474i | ||||
\(154\) | −17.7789 | − | 3.27723i | −1.43266 | − | 0.264087i | ||||
\(155\) | 22.1579 | + | 3.18583i | 1.77977 | + | 0.255892i | ||||
\(156\) | 6.25990 | − | 11.2605i | 0.501193 | − | 0.901565i | ||||
\(157\) | −22.2349 | + | 3.19690i | −1.77454 | + | 0.255140i | −0.950352 | − | 0.311177i | \(-0.899277\pi\) |
−0.824187 | + | 0.566317i | \(0.808368\pi\) | |||||||
\(158\) | 0.137035 | + | 1.32169i | 0.0109020 | + | 0.105148i | ||||
\(159\) | −2.58127 | + | 2.97894i | −0.204708 | + | 0.236245i | ||||
\(160\) | −9.81042 | + | 10.1450i | −0.775582 | + | 0.802034i | ||||
\(161\) | −7.92121 | − | 9.63172i | −0.624279 | − | 0.759086i | ||||
\(162\) | 0.637811 | − | 1.26222i | 0.0501111 | − | 0.0991693i | ||||
\(163\) | −5.53347 | − | 4.79478i | −0.433415 | − | 0.375556i | 0.410654 | − | 0.911791i | \(-0.365301\pi\) |
−0.844069 | + | 0.536235i | \(0.819846\pi\) | |||||||
\(164\) | 8.08139 | + | 3.08412i | 0.631051 | + | 0.240829i | ||||
\(165\) | 12.1398 | − | 1.74544i | 0.945083 | − | 0.135882i | ||||
\(166\) | −0.352844 | + | 8.93113i | −0.0273860 | + | 0.693190i | ||||
\(167\) | −1.01076 | + | 7.02997i | −0.0782147 | + | 0.543995i | 0.912609 | + | 0.408834i | \(0.134064\pi\) |
−0.990824 | + | 0.135162i | \(0.956845\pi\) | |||||||
\(168\) | −3.21719 | − | 6.61378i | −0.248212 | − | 0.510264i | ||||
\(169\) | −23.9728 | − | 15.4064i | −1.84406 | − | 1.18511i | ||||
\(170\) | −4.90779 | + | 3.92439i | −0.376411 | + | 0.300987i | ||||
\(171\) | −0.835787 | + | 2.84643i | −0.0639142 | + | 0.217672i | ||||
\(172\) | 9.68723 | + | 2.18430i | 0.738645 | + | 0.166551i | ||||
\(173\) | 11.5461 | − | 10.0048i | 0.877837 | − | 0.760650i | −0.0941816 | − | 0.995555i | \(-0.530023\pi\) |
0.972018 | + | 0.234905i | \(0.0754780\pi\) | |||||||
\(174\) | −8.03034 | + | 8.55997i | −0.608779 | + | 0.648930i | ||||
\(175\) | −1.32210 | + | 2.89499i | −0.0999410 | + | 0.218840i | ||||
\(176\) | −12.6509 | − | 15.0548i | −0.953599 | − | 1.13480i | ||||
\(177\) | 13.8908 | − | 4.07872i | 1.04410 | − | 0.306575i | ||||
\(178\) | −1.47506 | − | 1.03245i | −0.110561 | − | 0.0773857i | ||||
\(179\) | −18.6525 | + | 8.51832i | −1.39416 | + | 0.636689i | −0.963960 | − | 0.266047i | \(-0.914282\pi\) |
−0.430195 | + | 0.902736i | \(0.641555\pi\) | |||||||
\(180\) | 3.50133 | + | 3.55477i | 0.260974 | + | 0.264957i | ||||
\(181\) | 1.26051 | + | 1.96139i | 0.0936927 | + | 0.145789i | 0.884936 | − | 0.465713i | \(-0.154202\pi\) |
−0.791243 | + | 0.611502i | \(0.790566\pi\) | |||||||
\(182\) | −21.9198 | + | 8.98240i | −1.62481 | + | 0.665819i | ||||
\(183\) | −10.6343 | −0.786107 | ||||||||
\(184\) | 0.0190265 | − | 13.5646i | 0.00140266 | − | 0.999999i | ||||
\(185\) | 17.6760 | 1.29956 | ||||||||
\(186\) | −11.7422 | + | 4.81175i | −0.860976 | + | 0.352814i | ||||
\(187\) | −4.73383 | − | 7.36598i | −0.346172 | − | 0.538654i | ||||
\(188\) | −12.1597 | + | 11.9769i | −0.886835 | + | 0.873502i | ||||
\(189\) | −2.36531 | + | 1.08020i | −0.172051 | + | 0.0785732i | ||||
\(190\) | −8.57483 | − | 6.00186i | −0.622083 | − | 0.435421i | ||||
\(191\) | −11.1346 | + | 3.26942i | −0.805673 | + | 0.236567i | −0.658536 | − | 0.752549i | \(-0.728824\pi\) |
−0.147137 | + | 0.989116i | \(0.547006\pi\) | |||||||
\(192\) | 1.87768 | − | 7.77652i | 0.135510 | − | 0.561222i | ||||
\(193\) | −4.41382 | + | 9.66493i | −0.317714 | + | 0.695697i | −0.999352 | − | 0.0359929i | \(-0.988541\pi\) |
0.681638 | + | 0.731690i | \(0.261268\pi\) | |||||||
\(194\) | 7.23975 | − | 7.71723i | 0.519783 | − | 0.554065i | ||||
\(195\) | 12.1455 | − | 10.5242i | 0.869759 | − | 0.753651i | ||||
\(196\) | 0.104897 | − | 0.465213i | 0.00749265 | − | 0.0332295i | ||||
\(197\) | −5.00416 | + | 17.0426i | −0.356531 | + | 1.21423i | 0.564725 | + | 0.825279i | \(0.308982\pi\) |
−0.921257 | + | 0.388955i | \(0.872836\pi\) | |||||||
\(198\) | −5.42994 | + | 4.34191i | −0.385889 | + | 0.308566i | ||||
\(199\) | 7.18828 | + | 4.61962i | 0.509563 | + | 0.327476i | 0.770031 | − | 0.638006i | \(-0.220241\pi\) |
−0.260468 | + | 0.965482i | \(0.583877\pi\) | |||||||
\(200\) | −3.11304 | + | 1.51430i | −0.220125 | + | 0.107077i | ||||
\(201\) | −1.37917 | + | 9.59236i | −0.0972794 | + | 0.676593i | ||||
\(202\) | −0.653581 | + | 16.5433i | −0.0459858 | + | 1.16398i | ||||
\(203\) | 21.3612 | − | 3.07128i | 1.49926 | − | 0.215561i | ||||
\(204\) | 1.27008 | − | 3.32802i | 0.0889235 | − | 0.233008i | ||||
\(205\) | 8.15438 | + | 7.06581i | 0.569527 | + | 0.493498i | ||||
\(206\) | −2.25920 | + | 4.47094i | −0.157406 | + | 0.311505i | ||||
\(207\) | −4.79424 | − | 0.123441i | −0.333223 | − | 0.00857978i | ||||
\(208\) | −24.6106 | − | 7.63308i | −1.70644 | − | 0.529259i | ||||
\(209\) | 9.55059 | − | 11.0220i | 0.660628 | − | 0.762405i | ||||
\(210\) | −0.946134 | − | 9.12533i | −0.0652894 | − | 0.629708i | ||||
\(211\) | 0.978058 | − | 0.140624i | 0.0673323 | − | 0.00968093i | −0.108566 | − | 0.994089i | \(-0.534626\pi\) |
0.175899 | + | 0.984408i | \(0.443717\pi\) | |||||||
\(212\) | 6.89029 | + | 3.83041i | 0.473227 | + | 0.263073i | ||||
\(213\) | 5.63726 | + | 0.810515i | 0.386258 | + | 0.0555356i | ||||
\(214\) | 25.8394 | + | 4.76304i | 1.76634 | + | 0.325594i | ||||
\(215\) | 10.4207 | + | 6.69699i | 0.710687 | + | 0.456731i | ||||
\(216\) | −2.73245 | − | 0.730577i | −0.185919 | − | 0.0497094i | ||||
\(217\) | 22.3875 | + | 6.57355i | 1.51976 | + | 0.446242i | ||||
\(218\) | −2.59950 | − | 10.3481i | −0.176060 | − | 0.700863i | ||||
\(219\) | −5.44300 | + | 4.71639i | −0.367804 | + | 0.318704i | ||||
\(220\) | −8.39780 | − | 23.0470i | −0.566180 | − | 1.55383i | ||||
\(221\) | −10.4365 | − | 4.76617i | −0.702032 | − | 0.320607i | ||||
\(222\) | −8.63660 | + | 5.08021i | −0.579650 | + | 0.340961i | ||||
\(223\) | 14.3379 | − | 4.20999i | 0.960137 | − | 0.281922i | 0.236135 | − | 0.971720i | \(-0.424119\pi\) |
0.724001 | + | 0.689799i | \(0.242301\pi\) | |||||||
\(224\) | −11.6261 | + | 9.01126i | −0.776803 | + | 0.602090i | ||||
\(225\) | 0.508440 | + | 1.11333i | 0.0338960 | + | 0.0742219i | ||||
\(226\) | 16.3425 | + | 5.50812i | 1.08708 | + | 0.366395i | ||||
\(227\) | −10.2597 | − | 15.9644i | −0.680960 | − | 1.05959i | −0.993950 | − | 0.109837i | \(-0.964967\pi\) |
0.312990 | − | 0.949756i | \(-0.398669\pi\) | |||||||
\(228\) | 5.91470 | + | 0.468078i | 0.391711 | + | 0.0309992i | ||||
\(229\) | − | 0.817962i | − | 0.0540525i | −0.999635 | − | 0.0270262i | \(-0.991396\pi\) | ||
0.999635 | − | 0.0270262i | \(-0.00860377\pi\) | |||||||
\(230\) | 5.81514 | − | 15.8898i | 0.383439 | − | 1.04774i | ||||
\(231\) | 12.7834 | 0.841085 | ||||||||
\(232\) | 20.0508 | + | 12.2067i | 1.31640 | + | 0.801412i | ||||
\(233\) | −2.28765 | + | 1.47019i | −0.149869 | + | 0.0963151i | −0.613426 | − | 0.789752i | \(-0.710209\pi\) |
0.463557 | + | 0.886067i | \(0.346573\pi\) | |||||||
\(234\) | −2.90966 | + | 8.63290i | −0.190211 | + | 0.564350i | ||||
\(235\) | −19.3660 | + | 8.84417i | −1.26330 | + | 0.576930i | ||||
\(236\) | −13.6836 | − | 25.5172i | −0.890725 | − | 1.66103i | ||||
\(237\) | −0.264712 | − | 0.901525i | −0.0171949 | − | 0.0585603i | ||||
\(238\) | −5.64543 | + | 3.32075i | −0.365939 | + | 0.215252i | ||||
\(239\) | 1.95146 | − | 4.27309i | 0.126229 | − | 0.276403i | −0.835958 | − | 0.548794i | \(-0.815087\pi\) |
0.962187 | + | 0.272391i | \(0.0878144\pi\) | |||||||
\(240\) | 5.52166 | − | 8.31229i | 0.356422 | − | 0.536556i | ||||
\(241\) | 1.06439 | + | 1.22837i | 0.0685631 | + | 0.0791260i | 0.788995 | − | 0.614400i | \(-0.210602\pi\) |
−0.720432 | + | 0.693526i | \(0.756056\pi\) | |||||||
\(242\) | 18.0615 | − | 4.53715i | 1.16104 | − | 0.291659i | ||||
\(243\) | −0.281733 | + | 0.959493i | −0.0180732 | + | 0.0615515i | ||||
\(244\) | 4.36342 | + | 20.8161i | 0.279340 | + | 1.33262i | ||||
\(245\) | 0.321612 | − | 0.500438i | 0.0205470 | − | 0.0319718i | ||||
\(246\) | −6.01506 | − | 1.10877i | −0.383506 | − | 0.0706927i | ||||
\(247\) | 2.71966 | − | 18.9157i | 0.173048 | − | 1.20357i | ||||
\(248\) | 14.2368 | + | 21.0104i | 0.904038 | + | 1.33416i | ||||
\(249\) | −0.899457 | − | 6.25586i | −0.0570008 | − | 0.396449i | ||||
\(250\) | 13.2515 | − | 1.37394i | 0.838099 | − | 0.0868959i | ||||
\(251\) | −3.66156 | − | 3.17276i | −0.231116 | − | 0.200263i | 0.531602 | − | 0.846994i | \(-0.321590\pi\) |
−0.762718 | + | 0.646731i | \(0.776136\pi\) | |||||||
\(252\) | 3.08498 | + | 4.18678i | 0.194336 | + | 0.263742i | ||||
\(253\) | 21.1871 | + | 10.3430i | 1.33202 | + | 0.650256i | ||||
\(254\) | −0.487711 | + | 0.965174i | −0.0306017 | + | 0.0605604i | ||||
\(255\) | 2.90980 | − | 3.35808i | 0.182219 | − | 0.210291i | ||||
\(256\) | −15.9927 | − | 0.484636i | −0.999541 | − | 0.0302898i | ||||
\(257\) | −0.351940 | − | 2.44779i | −0.0219534 | − | 0.152689i | 0.975896 | − | 0.218235i | \(-0.0700301\pi\) |
−0.997850 | + | 0.0655463i | \(0.979121\pi\) | |||||||
\(258\) | −7.01641 | − | 0.277199i | −0.436822 | − | 0.0172577i | ||||
\(259\) | 18.2360 | + | 2.62195i | 1.13313 | + | 0.162920i | ||||
\(260\) | −25.5841 | − | 19.4561i | −1.58666 | − | 1.20662i | ||||
\(261\) | 4.48698 | − | 6.98188i | 0.277737 | − | 0.432168i | ||||
\(262\) | −6.98262 | + | 5.58347i | −0.431388 | + | 0.344948i | ||||
\(263\) | 5.90435 | + | 1.73367i | 0.364078 | + | 0.106903i | 0.458654 | − | 0.888615i | \(-0.348332\pi\) |
−0.0945768 | + | 0.995518i | \(0.530150\pi\) | |||||||
\(264\) | 10.7271 | + | 8.84732i | 0.660208 | + | 0.544515i | ||||
\(265\) | 6.43969 | + | 7.43180i | 0.395587 | + | 0.456532i | ||||
\(266\) | −7.95625 | − | 7.46398i | −0.487829 | − | 0.457646i | ||||
\(267\) | 1.15809 | + | 0.528882i | 0.0708739 | + | 0.0323670i | ||||
\(268\) | 19.3425 | − | 1.23624i | 1.18153 | − | 0.0755154i | ||||
\(269\) | 1.89761 | + | 6.46268i | 0.115700 | + | 0.394037i | 0.996897 | − | 0.0787109i | \(-0.0250804\pi\) |
−0.881198 | + | 0.472748i | \(0.843262\pi\) | |||||||
\(270\) | −2.89046 | − | 2.02315i | −0.175908 | − | 0.123125i | ||||
\(271\) | 5.51868 | + | 12.0842i | 0.335236 | + | 0.734064i | 0.999915 | − | 0.0130652i | \(-0.00415891\pi\) |
−0.664679 | + | 0.747129i | \(0.731432\pi\) | |||||||
\(272\) | −7.03560 | − | 1.12059i | −0.426596 | − | 0.0679455i | ||||
\(273\) | 14.0915 | − | 9.05604i | 0.852854 | − | 0.548096i | ||||
\(274\) | −0.569510 | − | 1.38978i | −0.0344053 | − | 0.0839597i | ||||
\(275\) | − | 6.01700i | − | 0.362839i | ||||||
\(276\) | 1.72553 | + | 9.43518i | 0.103865 | + | 0.567931i | ||||
\(277\) | − | 17.0554i | − | 1.02476i | −0.858758 | − | 0.512381i | \(-0.828763\pi\) | ||
0.858758 | − | 0.512381i | \(-0.171237\pi\) | |||||||
\(278\) | −11.6684 | + | 4.78153i | −0.699824 | + | 0.286777i | ||||
\(279\) | 7.54861 | − | 4.85119i | 0.451923 | − | 0.290433i | ||||
\(280\) | −17.4742 | + | 5.59630i | −1.04429 | + | 0.334443i | ||||
\(281\) | 5.94061 | + | 13.0081i | 0.354387 | + | 0.775999i | 0.999925 | + | 0.0122709i | \(0.00390603\pi\) |
−0.645538 | + | 0.763728i | \(0.723367\pi\) | |||||||
\(282\) | 6.92049 | − | 9.88727i | 0.412109 | − | 0.588778i | ||||
\(283\) | −1.43324 | − | 4.88117i | −0.0851974 | − | 0.290156i | 0.905863 | − | 0.423571i | \(-0.139224\pi\) |
−0.991060 | + | 0.133416i | \(0.957405\pi\) | |||||||
\(284\) | −0.726516 | − | 11.3673i | −0.0431108 | − | 0.674523i | ||||
\(285\) | 6.73220 | + | 3.07449i | 0.398781 | + | 0.182117i | ||||
\(286\) | 30.6420 | − | 32.6629i | 1.81190 | − | 1.93140i | ||||
\(287\) | 7.36467 | + | 8.49928i | 0.434722 | + | 0.501696i | ||||
\(288\) | −0.308902 | + | 5.64841i | −0.0182022 | + | 0.332836i | ||||
\(289\) | 13.2677 | + | 3.89574i | 0.780451 | + | 0.229161i | ||||
\(290\) | 18.2868 | + | 22.8692i | 1.07384 | + | 1.34293i | ||||
\(291\) | −4.04524 | + | 6.29451i | −0.237136 | + | 0.368991i | ||||
\(292\) | 11.4655 | + | 8.71923i | 0.670967 | + | 0.510254i | ||||
\(293\) | 1.93509 | + | 0.278224i | 0.113049 | + | 0.0162540i | 0.198607 | − | 0.980079i | \(-0.436358\pi\) |
−0.0855581 | + | 0.996333i | \(0.527267\pi\) | |||||||
\(294\) | −0.0133120 | + | 0.336951i | −0.000776373 | + | 0.0196514i | ||||
\(295\) | −5.14007 | − | 35.7500i | −0.299267 | − | 2.08145i | ||||
\(296\) | 13.4880 | + | 14.8213i | 0.783976 | + | 0.861469i | ||||
\(297\) | 3.21937 | − | 3.71536i | 0.186807 | − | 0.215587i | ||||
\(298\) | −15.3609 | − | 7.76201i | −0.889834 | − | 0.449641i | ||||
\(299\) | 30.6823 | − | 3.60809i | 1.77440 | − | 0.208661i | ||||
\(300\) | 1.97067 | − | 1.45207i | 0.113777 | − | 0.0838352i | ||||
\(301\) | 9.75752 | + | 8.45494i | 0.562414 | + | 0.487335i | ||||
\(302\) | 2.47973 | + | 23.9167i | 0.142693 | + | 1.37625i | ||||
\(303\) | −1.66608 | − | 11.5879i | −0.0957139 | − | 0.665705i | ||||
\(304\) | −1.51066 | − | 11.7698i | −0.0866425 | − | 0.675047i | ||||
\(305\) | −3.77564 | + | 26.2601i | −0.216192 | + | 1.50365i | ||||
\(306\) | −0.456607 | + | 2.47708i | −0.0261025 | + | 0.141605i | ||||
\(307\) | 5.82245 | − | 9.05991i | 0.332305 | − | 0.517077i | −0.634388 | − | 0.773015i | \(-0.718748\pi\) |
0.966693 | + | 0.255938i | \(0.0823843\pi\) | |||||||
\(308\) | −5.24525 | − | 25.0229i | −0.298876 | − | 1.42581i | ||||
\(309\) | 0.997931 | − | 3.39864i | 0.0567703 | − | 0.193342i | ||||
\(310\) | 7.71308 | + | 30.7043i | 0.438074 | + | 1.74389i | ||||
\(311\) | −9.14397 | − | 10.5527i | −0.518507 | − | 0.598389i | 0.434750 | − | 0.900551i | \(-0.356837\pi\) |
−0.953256 | + | 0.302163i | \(0.902291\pi\) | |||||||
\(312\) | 18.0924 | + | 2.15331i | 1.02428 | + | 0.121907i | ||||
\(313\) | −9.66041 | + | 21.1534i | −0.546039 | + | 1.19566i | 0.412569 | + | 0.910927i | \(0.364632\pi\) |
−0.958607 | + | 0.284732i | \(0.908096\pi\) | |||||||
\(314\) | −16.1068 | − | 27.3824i | −0.908961 | − | 1.54528i | ||||
\(315\) | 1.82765 | + | 6.22440i | 0.102976 | + | 0.350705i | ||||
\(316\) | −1.65608 | + | 0.888073i | −0.0931618 | + | 0.0499580i | ||||
\(317\) | −9.37272 | + | 4.28038i | −0.526424 | + | 0.240410i | −0.660856 | − | 0.750513i | \(-0.729806\pi\) |
0.134431 | + | 0.990923i | \(0.457079\pi\) | |||||||
\(318\) | −5.28244 | − | 1.78041i | −0.296224 | − | 0.0998405i | ||||
\(319\) | −34.3238 | + | 22.0586i | −1.92176 | + | 1.23504i | ||||
\(320\) | −18.5366 | − | 7.39773i | −1.03623 | − | 0.413546i | ||||
\(321\) | −18.5790 | −1.03698 | ||||||||
\(322\) | 8.35640 | − | 15.5307i | 0.465684 | − | 0.865491i | ||||
\(323\) | − | 5.28372i | − | 0.293994i | ||||||
\(324\) | 1.99377 | + | 0.157783i | 0.110765 | + | 0.00876571i | ||||
\(325\) | −4.26258 | − | 6.63270i | −0.236445 | − | 0.367916i | ||||
\(326\) | 3.30717 | − | 9.81229i | 0.183167 | − | 0.543453i | ||||
\(327\) | 3.13413 | + | 6.86278i | 0.173318 | + | 0.379513i | ||||
\(328\) | 0.297711 | + | 12.2292i | 0.0164383 | + | 0.675243i | ||||
\(329\) | −21.2915 | + | 6.25176i | −1.17384 | + | 0.344671i | ||||
\(330\) | 8.79399 | + | 14.9502i | 0.484093 | + | 0.822982i | ||||
\(331\) | 8.60315 | + | 3.92893i | 0.472872 | + | 0.215953i | 0.637573 | − | 0.770390i | \(-0.279939\pi\) |
−0.164701 | + | 0.986344i | \(0.552666\pi\) | |||||||
\(332\) | −11.8765 | + | 4.32754i | −0.651808 | + | 0.237504i | ||||
\(333\) | 5.35462 | − | 4.63980i | 0.293431 | − | 0.254260i | ||||
\(334\) | −9.74145 | + | 2.44710i | −0.533028 | + | 0.133900i | ||||
\(335\) | 23.1976 | + | 6.81143i | 1.26742 | + | 0.372148i | ||||
\(336\) | 6.92962 | − | 7.75663i | 0.378042 | − | 0.423159i | ||||
\(337\) | −11.7394 | − | 7.54444i | −0.639484 | − | 0.410972i | 0.180326 | − | 0.983607i | \(-0.442285\pi\) |
−0.819810 | + | 0.572635i | \(0.805921\pi\) | |||||||
\(338\) | 7.30557 | − | 39.6325i | 0.397370 | − | 2.15572i | ||||
\(339\) | −12.0704 | − | 1.73547i | −0.655577 | − | 0.0942577i | ||||
\(340\) | −7.76725 | − | 4.31792i | −0.421238 | − | 0.234172i | ||||
\(341\) | −43.6636 | + | 6.27787i | −2.36451 | + | 0.339966i | ||||
\(342\) | −4.17303 | + | 0.432669i | −0.225652 | + | 0.0233961i | ||||
\(343\) | 12.3259 | − | 14.2248i | 0.665534 | − | 0.768068i | ||||
\(344\) | 2.33635 | + | 13.8481i | 0.125968 | + | 0.746637i | ||||
\(345\) | −2.00699 | + | 11.7950i | −0.108053 | + | 0.635022i | ||||
\(346\) | 19.2838 | + | 9.74430i | 1.03671 | + | 0.523857i | ||||
\(347\) | 9.33432 | + | 8.08823i | 0.501092 | + | 0.434199i | 0.868373 | − | 0.495911i | \(-0.165166\pi\) |
−0.367281 | + | 0.930110i | \(0.619711\pi\) | |||||||
\(348\) | −15.5078 | − | 5.91829i | −0.831307 | − | 0.317254i | ||||
\(349\) | 28.6029 | − | 4.11248i | 1.53108 | − | 0.220136i | 0.675325 | − | 0.737520i | \(-0.264003\pi\) |
0.855753 | + | 0.517384i | \(0.173094\pi\) | |||||||
\(350\) | −4.49735 | − | 0.177678i | −0.240394 | − | 0.00949729i | ||||
\(351\) | 0.916761 | − | 6.37621i | 0.0489331 | − | 0.340337i | ||||
\(352\) | 12.9167 | − | 24.6281i | 0.688464 | − | 1.31268i | ||||
\(353\) | −9.74320 | − | 6.26157i | −0.518578 | − | 0.333270i | 0.255031 | − | 0.966933i | \(-0.417914\pi\) |
−0.773609 | + | 0.633663i | \(0.781551\pi\) | |||||||
\(354\) | 12.7863 | + | 15.9904i | 0.679585 | + | 0.849880i | ||||
\(355\) | 4.00295 | − | 13.6328i | 0.212455 | − | 0.723554i | ||||
\(356\) | 0.560079 | − | 2.48392i | 0.0296841 | − | 0.131647i | ||||
\(357\) | 3.50012 | − | 3.03287i | 0.185246 | − | 0.160516i | ||||
\(358\) | −21.1494 | − | 19.8408i | −1.11778 | − | 1.04862i | ||||
\(359\) | 5.26744 | − | 11.5341i | 0.278005 | − | 0.608745i | −0.718195 | − | 0.695842i | \(-0.755031\pi\) |
0.996200 | + | 0.0870963i | \(0.0277588\pi\) | |||||||
\(360\) | −2.77422 | + | 6.48808i | −0.146214 | + | 0.341952i | ||||
\(361\) | −9.78615 | + | 2.87347i | −0.515061 | + | 0.151235i | ||||
\(362\) | −1.89074 | + | 2.70129i | −0.0993749 | + | 0.141976i | ||||
\(363\) | −11.9783 | + | 5.47028i | −0.628695 | + | 0.287115i | ||||
\(364\) | −23.5088 | − | 23.8676i | −1.23219 | − | 1.25100i | ||||
\(365\) | 9.71408 | + | 15.1154i | 0.508458 | + | 0.791176i | ||||
\(366\) | −5.70257 | − | 13.9160i | −0.298078 | − | 0.727402i | ||||
\(367\) | 27.1188 | 1.41559 | 0.707795 | − | 0.706418i | \(-0.249690\pi\) | ||||
0.707795 | + | 0.706418i | \(0.249690\pi\) | |||||||
\(368\) | 17.7609 | − | 7.24907i | 0.925853 | − | 0.377884i | ||||
\(369\) | 4.32495 | 0.225148 | ||||||||
\(370\) | 9.47863 | + | 23.1308i | 0.492771 | + | 1.20251i | ||||
\(371\) | 5.54135 | + | 8.62251i | 0.287693 | + | 0.447659i | ||||
\(372\) | −12.5933 | − | 12.7855i | −0.652934 | − | 0.662900i | ||||
\(373\) | −4.61647 | + | 2.10827i | −0.239032 | + | 0.109162i | −0.531330 | − | 0.847165i | \(-0.678307\pi\) |
0.292298 | + | 0.956327i | \(0.405580\pi\) | |||||||
\(374\) | 7.10066 | − | 10.1447i | 0.367166 | − | 0.524568i | ||||
\(375\) | −9.03887 | + | 2.65405i | −0.466765 | + | 0.137055i | ||||
\(376\) | −22.1935 | − | 9.48965i | −1.14454 | − | 0.489391i | ||||
\(377\) | −22.2093 | + | 48.6315i | −1.14383 | + | 2.50465i | ||||
\(378\) | −2.68194 | − | 2.51601i | −0.137944 | − | 0.129409i | ||||
\(379\) | 13.4409 | − | 11.6466i | 0.690412 | − | 0.598245i | −0.237347 | − | 0.971425i | \(-0.576278\pi\) |
0.927759 | + | 0.373180i | \(0.121732\pi\) | |||||||
\(380\) | 3.25585 | − | 14.4395i | 0.167021 | − | 0.740731i | ||||
\(381\) | 0.215431 | − | 0.733690i | 0.0110369 | − | 0.0375881i | ||||
\(382\) | −10.2493 | − | 12.8176i | −0.524398 | − | 0.655805i | ||||
\(383\) | −18.6265 | − | 11.9705i | −0.951769 | − | 0.611665i | −0.0300603 | − | 0.999548i | \(-0.509570\pi\) |
−0.921708 | + | 0.387884i | \(0.873206\pi\) | |||||||
\(384\) | 11.1833 | − | 1.71298i | 0.570694 | − | 0.0874151i | ||||
\(385\) | 4.53867 | − | 31.5671i | 0.231312 | − | 1.60881i | ||||
\(386\) | −15.0144 | − | 0.593179i | −0.764215 | − | 0.0301920i | ||||
\(387\) | 4.91468 | − | 0.706624i | 0.249827 | − | 0.0359197i | ||||
\(388\) | 13.9811 | + | 5.33563i | 0.709781 | + | 0.270876i | ||||
\(389\) | 2.34444 | + | 2.03147i | 0.118868 | + | 0.103000i | 0.712266 | − | 0.701909i | \(-0.247669\pi\) |
−0.593399 | + | 0.804909i | \(0.702214\pi\) | |||||||
\(390\) | 20.2849 | + | 10.2502i | 1.02717 | + | 0.519037i | ||||
\(391\) | 8.25494 | − | 2.19473i | 0.417470 | − | 0.110992i | ||||
\(392\) | 0.665030 | − | 0.112199i | 0.0335891 | − | 0.00566692i | ||||
\(393\) | 4.13995 | − | 4.77775i | 0.208833 | − | 0.241006i | ||||
\(394\) | −24.9854 | + | 2.59054i | −1.25875 | + | 0.130510i | ||||
\(395\) | −2.32020 | + | 0.333594i | −0.116742 | + | 0.0167850i | ||||
\(396\) | −8.59362 | − | 4.77731i | −0.431845 | − | 0.240069i | ||||
\(397\) | 9.15193 | + | 1.31585i | 0.459322 | + | 0.0660406i | 0.368092 | − | 0.929789i | \(-0.380011\pi\) |
0.0912301 | + | 0.995830i | \(0.470920\pi\) | |||||||
\(398\) | −2.19058 | + | 11.8838i | −0.109804 | + | 0.595683i | ||||
\(399\) | 6.48946 | + | 4.17053i | 0.324880 | + | 0.208787i | ||||
\(400\) | −3.65096 | − | 3.26170i | −0.182548 | − | 0.163085i | ||||
\(401\) | 15.7838 | + | 4.63454i | 0.788205 | + | 0.231438i | 0.650973 | − | 0.759101i | \(-0.274361\pi\) |
0.137232 | + | 0.990539i | \(0.456179\pi\) | |||||||
\(402\) | −13.2922 | + | 3.33906i | −0.662953 | + | 0.166537i | ||||
\(403\) | −43.6841 | + | 37.8525i | −2.17606 | + | 1.88557i | ||||
\(404\) | −21.9991 | + | 8.01598i | −1.09450 | + | 0.398810i | ||||
\(405\) | 2.26933 | + | 1.03637i | 0.112764 | + | 0.0514976i | ||||
\(406\) | 15.4739 | + | 26.3064i | 0.767958 | + | 1.30556i | ||||
\(407\) | −33.4206 | + | 9.81318i | −1.65660 | + | 0.486421i | ||||
\(408\) | 5.03614 | − | 0.122601i | 0.249326 | − | 0.00606967i | ||||
\(409\) | −9.56672 | − | 20.9482i | −0.473044 | − | 1.03582i | −0.984318 | − | 0.176404i | \(-0.943554\pi\) |
0.511274 | − | 0.859418i | \(-0.329174\pi\) | |||||||
\(410\) | −4.87360 | + | 14.4599i | −0.240690 | + | 0.714121i | ||||
\(411\) | 0.574179 | + | 0.893440i | 0.0283222 | + | 0.0440701i | ||||
\(412\) | −7.06217 | − | 0.558886i | −0.347928 | − | 0.0275343i | ||||
\(413\) | − | 37.6452i | − | 1.85240i | ||||||
\(414\) | −2.40935 | − | 6.33996i | −0.118413 | − | 0.311592i | ||||
\(415\) | −15.7675 | −0.773996 | ||||||||
\(416\) | −3.20862 | − | 36.2987i | −0.157315 | − | 1.77969i | ||||
\(417\) | 7.50120 | − | 4.82073i | 0.367335 | − | 0.236072i | ||||
\(418\) | 19.5448 | + | 6.58746i | 0.955969 | + | 0.322203i | ||||
\(419\) | −15.9425 | + | 7.28070i | −0.778842 | + | 0.355685i | −0.764843 | − | 0.644217i | \(-0.777184\pi\) |
−0.0139993 | + | 0.999902i | \(0.504456\pi\) | |||||||
\(420\) | 11.4341 | − | 6.13152i | 0.557926 | − | 0.299188i | ||||
\(421\) | −11.0122 | − | 37.5040i | −0.536701 | − | 1.82784i | −0.560551 | − | 0.828120i | \(-0.689411\pi\) |
0.0238500 | − | 0.999716i | \(-0.492408\pi\) | |||||||
\(422\) | 0.708499 | + | 1.20448i | 0.0344892 | + | 0.0586332i | ||||
\(423\) | −3.54507 | + | 7.76261i | −0.172367 | + | 0.377431i | ||||
\(424\) | −1.31760 | + | 11.0707i | −0.0639885 | + | 0.537640i | ||||
\(425\) | −1.42754 | − | 1.64747i | −0.0692458 | − | 0.0799139i | ||||
\(426\) | 1.96231 | + | 7.81157i | 0.0950740 | + | 0.378472i | ||||
\(427\) | −7.79054 | + | 26.5321i | −0.377011 | + | 1.28398i | ||||
\(428\) | 7.62329 | + | 36.3676i | 0.368486 | + | 1.75790i | ||||
\(429\) | −17.1213 | + | 26.6413i | −0.826625 | + | 1.28625i | ||||
\(430\) | −3.17565 | + | 17.2278i | −0.153143 | + | 0.830799i | ||||
\(431\) | 3.11827 | − | 21.6881i | 0.150202 | − | 1.04468i | −0.765678 | − | 0.643225i | \(-0.777596\pi\) |
0.915880 | − | 0.401453i | \(-0.131495\pi\) | |||||||
\(432\) | −0.509224 | − | 3.96745i | −0.0245001 | − | 0.190884i | ||||
\(433\) | 1.91696 | + | 13.3328i | 0.0921233 | + | 0.640731i | 0.982604 | + | 0.185711i | \(0.0594589\pi\) |
−0.890481 | + | 0.455020i | \(0.849632\pi\) | |||||||
\(434\) | 3.40298 | + | 32.8213i | 0.163348 | + | 1.57547i | ||||
\(435\) | −15.6479 | − | 13.5590i | −0.750259 | − | 0.650104i | ||||
\(436\) | 12.1476 | − | 8.95084i | 0.581765 | − | 0.428667i | ||||
\(437\) | 7.38124 | + | 12.1628i | 0.353093 | + | 0.581825i | ||||
\(438\) | −9.09066 | − | 4.59359i | −0.434368 | − | 0.219490i | ||||
\(439\) | 11.3308 | − | 13.0764i | 0.540790 | − | 0.624104i | −0.417923 | − | 0.908483i | \(-0.637242\pi\) |
0.958712 | + | 0.284378i | \(0.0917872\pi\) | |||||||
\(440\) | 25.6561 | − | 23.3482i | 1.22310 | − | 1.11308i | ||||
\(441\) | −0.0339345 | − | 0.236019i | −0.00161593 | − | 0.0112390i | ||||
\(442\) | 0.640531 | − | 16.2130i | 0.0304670 | − | 0.771174i | ||||
\(443\) | −3.13276 | − | 0.450424i | −0.148842 | − | 0.0214003i | 0.0674910 | − | 0.997720i | \(-0.478501\pi\) |
−0.216333 | + | 0.976320i | \(0.569410\pi\) | |||||||
\(444\) | −11.2793 | − | 8.57764i | −0.535292 | − | 0.407077i | ||||
\(445\) | 1.71719 | − | 2.67199i | 0.0814025 | − | 0.126665i | ||||
\(446\) | 13.1978 | + | 16.5050i | 0.624935 | + | 0.781536i | ||||
\(447\) | 11.6768 | + | 3.42862i | 0.552294 | + | 0.162168i | ||||
\(448\) | −18.0266 | − | 10.3817i | −0.851677 | − | 0.490491i | ||||
\(449\) | 0.393845 | + | 0.454521i | 0.0185867 | + | 0.0214502i | 0.764967 | − | 0.644070i | \(-0.222755\pi\) |
−0.746380 | + | 0.665520i | \(0.768210\pi\) | |||||||
\(450\) | −1.18426 | + | 1.26236i | −0.0558264 | + | 0.0595083i | ||||
\(451\) | −19.3406 | − | 8.83254i | −0.910711 | − | 0.415908i | ||||
\(452\) | 1.55561 | + | 24.3395i | 0.0731698 | + | 1.14483i | ||||
\(453\) | −4.79011 | − | 16.3136i | −0.225059 | − | 0.766480i | ||||
\(454\) | 15.3893 | − | 21.9867i | 0.722258 | − | 1.03189i | ||||
\(455\) | −17.3598 | − | 38.0126i | −0.813838 | − | 1.78206i | ||||
\(456\) | 2.55920 | + | 7.99100i | 0.119845 | + | 0.374213i | ||||
\(457\) | 25.5683 | − | 16.4318i | 1.19604 | − | 0.768646i | 0.217770 | − | 0.976000i | \(-0.430122\pi\) |
0.978266 | + | 0.207354i | \(0.0664853\pi\) | |||||||
\(458\) | 1.07039 | − | 0.438628i | 0.0500159 | − | 0.0204957i | ||||
\(459\) | − | 1.78107i | − | 0.0831333i | ||||||
\(460\) | 23.9117 | − | 0.911097i | 1.11489 | − | 0.0424801i | ||||
\(461\) | − | 22.3125i | − | 1.03920i | −0.854410 | − | 0.519599i | \(-0.826081\pi\) | ||
0.854410 | − | 0.519599i | \(-0.173919\pi\) | |||||||
\(462\) | 6.85502 | + | 16.7284i | 0.318924 | + | 0.778274i | ||||
\(463\) | 24.5615 | − | 15.7847i | 1.14147 | − | 0.733577i | 0.173546 | − | 0.984826i | \(-0.444477\pi\) |
0.967923 | + | 0.251248i | \(0.0808411\pi\) | |||||||
\(464\) | −5.22167 | + | 32.7843i | −0.242410 | + | 1.52197i | ||||
\(465\) | −9.29939 | − | 20.3628i | −0.431249 | − | 0.944303i | ||||
\(466\) | −3.15063 | − | 2.20525i | −0.145950 | − | 0.102156i | ||||
\(467\) | −0.287045 | − | 0.977585i | −0.0132828 | − | 0.0452372i | 0.952585 | − | 0.304273i | \(-0.0984135\pi\) |
−0.965868 | + | 0.259036i | \(0.916595\pi\) | |||||||
\(468\) | −12.8573 | + | 0.821751i | −0.594330 | + | 0.0379855i | ||||
\(469\) | 22.9223 | + | 10.4682i | 1.05845 | + | 0.483379i | ||||
\(470\) | −21.9584 | − | 20.5998i | −1.01287 | − | 0.950198i | ||||
\(471\) | 14.7105 | + | 16.9768i | 0.677824 | + | 0.782251i | ||||
\(472\) | 26.0541 | − | 31.5898i | 1.19924 | − | 1.45404i | ||||
\(473\) | −23.4209 | − | 6.87698i | −1.07689 | − | 0.316204i | ||||
\(474\) | 1.03779 | − | 0.829840i | 0.0476672 | − | 0.0381158i | ||||
\(475\) | 1.96302 | − | 3.05452i | 0.0900696 | − | 0.140151i | ||||
\(476\) | −7.37287 | − | 5.60689i | −0.337935 | − | 0.256991i | ||||
\(477\) | 3.90158 | + | 0.560963i | 0.178641 | + | 0.0256847i | ||||
\(478\) | 6.63824 | + | 0.262259i | 0.303626 | + | 0.0119954i | ||||
\(479\) | −0.341375 | − | 2.37431i | −0.0155978 | − | 0.108485i | 0.980535 | − | 0.196344i | \(-0.0629068\pi\) |
−0.996133 | + | 0.0878584i | \(0.971998\pi\) | |||||||
\(480\) | 13.8385 | + | 2.76824i | 0.631636 | + | 0.126352i | ||||
\(481\) | −29.8886 | + | 34.4933i | −1.36280 | + | 1.57276i | ||||
\(482\) | −1.03667 | + | 2.05156i | −0.0472192 | + | 0.0934461i | ||||
\(483\) | −3.82019 | + | 11.8711i | −0.173825 | + | 0.540152i | ||||
\(484\) | 15.6227 | + | 21.2024i | 0.710124 | + | 0.963744i | ||||
\(485\) | 14.1073 | + | 12.2241i | 0.640582 | + | 0.555067i | ||||
\(486\) | −1.40667 | + | 0.145847i | −0.0638080 | + | 0.00661575i | ||||
\(487\) | 0.0974437 | + | 0.677736i | 0.00441560 | + | 0.0307111i | 0.991910 | − | 0.126942i | \(-0.0405163\pi\) |
−0.987495 | + | 0.157653i | \(0.949607\pi\) | |||||||
\(488\) | −24.9002 | + | 16.8725i | −1.12718 | + | 0.763783i | ||||
\(489\) | −1.04201 | + | 7.24731i | −0.0471211 | + | 0.327735i | ||||
\(490\) | 0.827337 | + | 0.152505i | 0.0373753 | + | 0.00688948i | ||||
\(491\) | −20.6265 | + | 32.0954i | −0.930859 | + | 1.44845i | −0.0374007 | + | 0.999300i | \(0.511908\pi\) |
−0.893459 | + | 0.449145i | \(0.851729\pi\) | |||||||
\(492\) | −1.77460 | − | 8.46590i | −0.0800052 | − | 0.381672i | ||||
\(493\) | −4.16451 | + | 14.1830i | −0.187560 | + | 0.638771i | ||||
\(494\) | 26.2115 | − | 6.58446i | 1.17931 | − | 0.296249i | ||||
\(495\) | −8.03163 | − | 9.26900i | −0.360995 | − | 0.416611i | ||||
\(496\) | −19.8599 | + | 29.8970i | −0.891736 | + | 1.34242i | ||||
\(497\) | 6.15200 | − | 13.4710i | 0.275955 | − | 0.604257i | ||||
\(498\) | 7.70411 | − | 4.53170i | 0.345229 | − | 0.203070i | ||||
\(499\) | −10.2975 | − | 35.0701i | −0.460980 | − | 1.56995i | −0.782250 | − | 0.622965i | \(-0.785928\pi\) |
0.321270 | − | 0.946988i | \(-0.395890\pi\) | |||||||
\(500\) | 8.90400 | + | 16.6042i | 0.398199 | + | 0.742562i | ||||
\(501\) | 6.46044 | − | 2.95039i | 0.288631 | − | 0.131813i | ||||
\(502\) | 2.18839 | − | 6.49291i | 0.0976728 | − | 0.289793i | ||||
\(503\) | 11.4471 | − | 7.35660i | 0.510401 | − | 0.328015i | −0.259964 | − | 0.965618i | \(-0.583711\pi\) |
0.770365 | + | 0.637604i | \(0.220074\pi\) | |||||||
\(504\) | −3.82452 | + | 6.28215i | −0.170358 | + | 0.279829i | ||||
\(505\) | −29.2064 | −1.29967 | ||||||||
\(506\) | −2.17337 | + | 33.2718i | −0.0966180 | + | 1.47911i | ||||
\(507\) | 28.4966i | 1.26558i | ||||||||
\(508\) | −1.52456 | − | 0.120651i | −0.0676415 | − | 0.00535301i | ||||
\(509\) | −5.41814 | − | 8.43080i | −0.240155 | − | 0.373689i | 0.700164 | − | 0.713982i | \(-0.253110\pi\) |
−0.940319 | + | 0.340293i | \(0.889474\pi\) | |||||||
\(510\) | 5.95476 | + | 2.00701i | 0.263681 | + | 0.0888721i | ||||
\(511\) | 7.77975 | + | 17.0353i | 0.344156 | + | 0.753597i | ||||
\(512\) | −7.94178 | − | 21.1879i | −0.350980 | − | 0.936383i | ||||
\(513\) | 2.84643 | − | 0.835787i | 0.125673 | − | 0.0369009i | ||||
\(514\) | 3.01446 | − | 1.77316i | 0.132962 | − | 0.0782109i | ||||
\(515\) | −8.03826 | − | 3.67095i | −0.354208 | − | 0.161761i | ||||
\(516\) | −3.39977 | − | 9.33034i | −0.149666 | − | 0.410745i | ||||
\(517\) | 31.7061 | − | 27.4735i | 1.39443 | − | 1.20828i | ||||
\(518\) | 6.34789 | + | 25.2697i | 0.278910 | + | 1.11029i | ||||
\(519\) | −14.6589 | − | 4.30423i | −0.643453 | − | 0.188935i | ||||
\(520\) | 11.7410 | − | 43.9127i | 0.514876 | − | 1.92570i | ||||
\(521\) | 22.1454 | + | 14.2320i | 0.970207 | + | 0.623514i | 0.926805 | − | 0.375544i | \(-0.122544\pi\) |
0.0434020 | + | 0.999058i | \(0.486180\pi\) | |||||||
\(522\) | 11.5426 | + | 2.12768i | 0.505207 | + | 0.0931262i | ||||
\(523\) | 18.6887 | + | 2.68703i | 0.817200 | + | 0.117496i | 0.538224 | − | 0.842802i | \(-0.319096\pi\) |
0.278977 | + | 0.960298i | \(0.410005\pi\) | |||||||
\(524\) | −11.0509 | − | 6.14338i | −0.482763 | − | 0.268375i | ||||
\(525\) | 3.15020 | − | 0.452930i | 0.137486 | − | 0.0197675i | ||||
\(526\) | 0.897484 | + | 8.65612i | 0.0391322 | + | 0.377425i | ||||
\(527\) | −10.4657 | + | 12.0781i | −0.455895 | + | 0.526131i | ||||
\(528\) | −5.82527 | + | 18.7819i | −0.253513 | + | 0.817375i | ||||
\(529\) | −15.9364 | + | 16.5841i | −0.692885 | + | 0.721048i | ||||
\(530\) | −6.27203 | + | 12.4123i | −0.272439 | + | 0.539154i | ||||
\(531\) | −10.9412 | − | 9.48060i | −0.474807 | − | 0.411423i | ||||
\(532\) | 5.50089 | − | 14.4141i | 0.238494 | − | 0.624930i | ||||
\(533\) | −27.5768 | + | 3.96494i | −1.19448 | + | 0.171741i | ||||
\(534\) | −0.0710771 | + | 1.79909i | −0.00307580 | + | 0.0778542i | ||||
\(535\) | −6.59637 | + | 45.8788i | −0.285186 | + | 1.98351i | ||||
\(536\) | 11.9901 | + | 24.6488i | 0.517892 | + | 1.06466i | ||||
\(537\) | 17.2504 | + | 11.0861i | 0.744409 | + | 0.478403i | ||||
\(538\) | −7.43950 | + | 5.94880i | −0.320740 | + | 0.256471i | ||||
\(539\) | −0.330256 | + | 1.12475i | −0.0142251 | + | 0.0484463i | ||||
\(540\) | 1.09750 | − | 4.86736i | 0.0472290 | − | 0.209458i | ||||
\(541\) | −25.2084 | + | 21.8432i | −1.08379 | + | 0.939113i | −0.998361 | − | 0.0572309i | \(-0.981773\pi\) |
−0.0854332 | + | 0.996344i | \(0.527227\pi\) | |||||||
\(542\) | −12.8541 | + | 13.7019i | −0.552130 | + | 0.588545i | ||||
\(543\) | 0.968542 | − | 2.12081i | 0.0415641 | − | 0.0910127i | ||||
\(544\) | −2.30640 | − | 9.80772i | −0.0988862 | − | 0.420502i | ||||
\(545\) | 18.0596 | − | 5.30278i | 0.773589 | − | 0.227146i | ||||
\(546\) | 19.4072 | + | 13.5839i | 0.830553 | + | 0.581337i | ||||
\(547\) | −4.52157 | + | 2.06493i | −0.193328 | + | 0.0882900i | −0.509727 | − | 0.860336i | \(-0.670254\pi\) |
0.316399 | + | 0.948626i | \(0.397526\pi\) | |||||||
\(548\) | 1.51327 | − | 1.49052i | 0.0646439 | − | 0.0636720i | ||||
\(549\) | 5.74932 | + | 8.94611i | 0.245375 | + | 0.381811i | ||||
\(550\) | 7.87386 | − | 3.22658i | 0.335743 | − | 0.137582i | ||||
\(551\) | −24.6209 | −1.04889 | ||||||||
\(552\) | −11.4216 | + | 7.31760i | −0.486135 | + | 0.311458i | ||||
\(553\) | −2.44320 | −0.103895 | ||||||||
\(554\) | 22.3188 | − | 9.14589i | 0.948235 | − | 0.388572i | ||||
\(555\) | −9.55634 | − | 14.8700i | −0.405644 | − | 0.631195i | ||||
\(556\) | −12.5142 | − | 12.7052i | −0.530722 | − | 0.538822i | ||||
\(557\) | −0.148531 | + | 0.0678319i | −0.00629347 | + | 0.00287413i | −0.418559 | − | 0.908189i | \(-0.637465\pi\) |
0.412266 | + | 0.911064i | \(0.364738\pi\) | |||||||
\(558\) | 10.3962 | + | 7.27670i | 0.440106 | + | 0.308047i | ||||
\(559\) | −30.6893 | + | 9.01118i | −1.29802 | + | 0.381132i | ||||
\(560\) | −16.6938 | − | 19.8659i | −0.705442 | − | 0.839486i | ||||
\(561\) | −3.63736 | + | 7.96470i | −0.153569 | + | 0.336270i | ||||
\(562\) | −13.8368 | + | 14.7494i | −0.583672 | + | 0.622167i | ||||
\(563\) | 20.9140 | − | 18.1221i | 0.881420 | − | 0.763755i | −0.0912791 | − | 0.995825i | \(-0.529096\pi\) |
0.972699 | + | 0.232071i | \(0.0745501\pi\) | |||||||
\(564\) | 16.6496 | + | 3.75418i | 0.701074 | + | 0.158080i | ||||
\(565\) | −8.57109 | + | 29.1904i | −0.360588 | + | 1.22805i | ||||
\(566\) | 5.61895 | − | 4.49305i | 0.236182 | − | 0.188857i | ||||
\(567\) | 2.18751 | + | 1.40583i | 0.0918668 | + | 0.0590392i | ||||
\(568\) | 14.4856 | − | 7.04635i | 0.607804 | − | 0.295658i | ||||
\(569\) | −3.43240 | + | 23.8728i | −0.143894 | + | 1.00080i | 0.782070 | + | 0.623190i | \(0.214164\pi\) |
−0.925964 | + | 0.377612i | \(0.876745\pi\) | |||||||
\(570\) | −0.413185 | + | 10.4585i | −0.0173064 | + | 0.438056i | ||||
\(571\) | −5.55222 | + | 0.798289i | −0.232353 | + | 0.0334074i | −0.257508 | − | 0.966276i | \(-0.582901\pi\) |
0.0251545 | + | 0.999684i | \(0.491992\pi\) | |||||||
\(572\) | 59.1744 | + | 22.5829i | 2.47421 | + | 0.944237i | ||||
\(573\) | 8.77024 | + | 7.59946i | 0.366382 | + | 0.317472i | ||||
\(574\) | −7.17292 | + | 14.1951i | −0.299392 | + | 0.592493i | ||||
\(575\) | 5.58758 | + | 1.79812i | 0.233018 | + | 0.0749869i | ||||
\(576\) | −7.55718 | + | 2.62470i | −0.314882 | + | 0.109363i | ||||
\(577\) | −9.52665 | + | 10.9943i | −0.396600 | + | 0.457701i | −0.918567 | − | 0.395265i | \(-0.870653\pi\) |
0.521967 | + | 0.852965i | \(0.325198\pi\) | |||||||
\(578\) | 2.01674 | + | 19.4512i | 0.0838853 | + | 0.809062i | ||||
\(579\) | 10.5169 | − | 1.51211i | 0.437069 | − | 0.0628411i | ||||
\(580\) | −20.1205 | + | 36.1936i | −0.835459 | + | 1.50286i | ||||
\(581\) | −16.2671 | − | 2.33886i | −0.674873 | − | 0.0970321i | ||||
\(582\) | −10.4063 | − | 1.91821i | −0.431353 | − | 0.0795124i | ||||
\(583\) | −16.3017 | − | 10.4765i | −0.675148 | − | 0.433891i | ||||
\(584\) | −5.26170 | + | 19.6794i | −0.217731 | + | 0.814340i | ||||
\(585\) | −15.4199 | − | 4.52768i | −0.637533 | − | 0.187196i | ||||
\(586\) | 0.673596 | + | 2.68146i | 0.0278260 | + | 0.110770i | ||||
\(587\) | 10.4445 | − | 9.05017i | 0.431089 | − | 0.373541i | −0.412117 | − | 0.911131i | \(-0.635211\pi\) |
0.843206 | + | 0.537590i | \(0.180665\pi\) | |||||||
\(588\) | −0.448074 | + | 0.163268i | −0.0184783 | + | 0.00673306i | ||||
\(589\) | −24.2139 | − | 11.0581i | −0.997715 | − | 0.455641i | ||||
\(590\) | 44.0262 | − | 25.8971i | 1.81253 | − | 1.06616i | ||||
\(591\) | 17.0426 | − | 5.00416i | 0.701038 | − | 0.205843i | ||||
\(592\) | −12.1623 | + | 25.5983i | −0.499866 | + | 1.05208i | ||||
\(593\) | 10.6045 | + | 23.2206i | 0.435474 | + | 0.953555i | 0.992407 | + | 0.122998i | \(0.0392508\pi\) |
−0.556933 | + | 0.830557i | \(0.688022\pi\) | |||||||
\(594\) | 6.58830 | + | 2.22054i | 0.270321 | + | 0.0911100i | ||||
\(595\) | −6.24663 | − | 9.71995i | −0.256087 | − | 0.398479i | ||||
\(596\) | 1.92018 | − | 24.2637i | 0.0786536 | − | 0.993879i | ||||
\(597\) | − | 8.54472i | − | 0.349712i | ||||||
\(598\) | 21.1748 | + | 38.2161i | 0.865900 | + | 1.56277i | ||||
\(599\) | 24.3980 | 0.996877 | 0.498438 | − | 0.866925i | \(-0.333907\pi\) | ||||
0.498438 | + | 0.866925i | \(0.333907\pi\) | |||||||
\(600\) | 2.95694 | + | 1.80016i | 0.120717 | + | 0.0734913i | ||||
\(601\) | 13.7405 | − | 8.83047i | 0.560486 | − | 0.360202i | −0.229518 | − | 0.973304i | \(-0.573715\pi\) |
0.790004 | + | 0.613102i | \(0.210079\pi\) | |||||||
\(602\) | −5.83174 | + | 17.3026i | −0.237684 | + | 0.705203i | ||||
\(603\) | 8.81524 | − | 4.02579i | 0.358984 | − | 0.163943i | ||||
\(604\) | −29.9677 | + | 16.0702i | −1.21937 | + | 0.653887i | ||||
\(605\) | 9.25544 | + | 31.5211i | 0.376287 | + | 1.28152i | ||||
\(606\) | 14.2705 | − | 8.39416i | 0.579698 | − | 0.340990i | ||||
\(607\) | −7.33012 | + | 16.0507i | −0.297520 | + | 0.651479i | −0.998068 | − | 0.0621266i | \(-0.980212\pi\) |
0.700548 | + | 0.713605i | \(0.252939\pi\) | |||||||
\(608\) | 14.5920 | − | 8.28837i | 0.591782 | − | 0.336138i | ||||
\(609\) | −14.1325 | − | 16.3097i | −0.572676 | − | 0.660904i | ||||
\(610\) | −36.3887 | + | 9.14104i | −1.47334 | + | 0.370110i | ||||
\(611\) | 15.4876 | − | 52.7461i | 0.626563 | − | 2.13388i | ||||
\(612\) | −3.48637 | + | 0.730805i | −0.140928 | + | 0.0295410i | ||||
\(613\) | −8.07873 | + | 12.5707i | −0.326297 | + | 0.507728i | −0.965184 | − | 0.261573i | \(-0.915759\pi\) |
0.638887 | + | 0.769301i | \(0.279395\pi\) | |||||||
\(614\) | 14.9781 | + | 2.76095i | 0.604467 | + | 0.111423i | ||||
\(615\) | 1.53555 | − | 10.6800i | 0.0619193 | − | 0.430658i | ||||
\(616\) | 29.9323 | − | 20.2824i | 1.20601 | − | 0.817199i | ||||
\(617\) | −0.423933 | − | 2.94852i | −0.0170669 | − | 0.118703i | 0.979507 | − | 0.201410i | \(-0.0645524\pi\) |
−0.996574 | + | 0.0827074i | \(0.973643\pi\) | |||||||
\(618\) | 4.98261 | − | 0.516607i | 0.200430 | − | 0.0207810i | ||||
\(619\) | 24.6741 | + | 21.3803i | 0.991737 | + | 0.859345i | 0.990059 | − | 0.140653i | \(-0.0449203\pi\) |
0.00167853 | + | 0.999999i | \(0.499466\pi\) | |||||||
\(620\) | −36.0437 | + | 26.5584i | −1.44755 | + | 1.06661i | ||||
\(621\) | 2.48812 | + | 4.09991i | 0.0998447 | + | 0.164524i | ||||
\(622\) | 8.90589 | − | 17.6246i | 0.357094 | − | 0.706684i | ||||
\(623\) | 2.16795 | − | 2.50194i | 0.0868569 | − | 0.100238i | ||||
\(624\) | 6.88413 | + | 24.8305i | 0.275586 | + | 0.994016i | ||||
\(625\) | 4.21560 | + | 29.3201i | 0.168624 | + | 1.17281i | ||||
\(626\) | −32.8617 | − | 1.29827i | −1.31342 | − | 0.0518895i | ||||
\(627\) | −14.4357 | − | 2.07554i | −0.576507 | − | 0.0828891i | ||||
\(628\) | 27.1954 | − | 35.7611i | 1.08522 | − | 1.42702i | ||||
\(629\) | −6.82245 | + | 10.6159i | −0.272029 | + | 0.423285i | ||||
\(630\) | −7.16520 | + | 5.72947i | −0.285468 | + | 0.228267i | ||||
\(631\) | −16.7757 | − | 4.92578i | −0.667829 | − | 0.196092i | −0.0697928 | − | 0.997562i | \(-0.522234\pi\) |
−0.598036 | + | 0.801469i | \(0.704052\pi\) | |||||||
\(632\) | −2.05020 | − | 1.69093i | −0.0815526 | − | 0.0672615i | ||||
\(633\) | −0.647078 | − | 0.746768i | −0.0257191 | − | 0.0296814i | ||||
\(634\) | −10.6274 | − | 9.96984i | −0.422067 | − | 0.395953i | ||||
\(635\) | −1.73528 | − | 0.792474i | −0.0688624 | − | 0.0314484i | ||||
\(636\) | −0.502826 | − | 7.86735i | −0.0199384 | − | 0.311961i | ||||
\(637\) | 0.432747 | + | 1.47380i | 0.0171461 | + | 0.0583941i | ||||
\(638\) | −47.2718 | − | 33.0874i | −1.87151 | − | 1.30994i | ||||
\(639\) | −2.36588 | − | 5.18056i | −0.0935929 | − | 0.204940i | ||||
\(640\) | −0.259452 | − | 28.2240i | −0.0102557 | − | 1.11565i | ||||
\(641\) | −22.8736 | + | 14.7000i | −0.903454 | + | 0.580614i | −0.907813 | − | 0.419376i | \(-0.862249\pi\) |
0.00435895 | + | 0.999990i | \(0.498612\pi\) | |||||||
\(642\) | −9.96289 | − | 24.3125i | −0.393204 | − | 0.959540i | ||||
\(643\) | − | 27.6854i | − | 1.09181i | −0.837848 | − | 0.545904i | \(-0.816186\pi\) | ||
0.837848 | − | 0.545904i | \(-0.183814\pi\) | |||||||
\(644\) | 24.8046 | + | 2.60696i | 0.977437 | + | 0.102729i | ||||
\(645\) | − | 12.3871i | − | 0.487743i | ||||||
\(646\) | 6.91429 | − | 2.83337i | 0.272039 | − | 0.111477i | ||||
\(647\) | 6.18926 | − | 3.97759i | 0.243325 | − | 0.156375i | −0.413295 | − | 0.910597i | \(-0.635622\pi\) |
0.656620 | + | 0.754222i | \(0.271986\pi\) | |||||||
\(648\) | 0.862671 | + | 2.69366i | 0.0338889 | + | 0.105817i | ||||
\(649\) | 29.5659 | + | 64.7403i | 1.16056 | + | 2.54128i | ||||
\(650\) | 6.39379 | − | 9.13477i | 0.250785 | − | 0.358295i | ||||
\(651\) | −6.57355 | − | 22.3875i | −0.257638 | − | 0.877434i | ||||
\(652\) | 14.6138 | − | 0.934015i | 0.572322 | − | 0.0365789i | ||||
\(653\) | −16.9152 | − | 7.72490i | −0.661942 | − | 0.302299i | 0.0559703 | − | 0.998432i | \(-0.482175\pi\) |
−0.717912 | + | 0.696134i | \(0.754902\pi\) | |||||||
\(654\) | −7.30000 | + | 7.78146i | −0.285452 | + | 0.304279i | ||||
\(655\) | −10.3283 | − | 11.9195i | −0.403559 | − | 0.465731i | ||||
\(656\) | −15.8435 | + | 6.94741i | −0.618584 | + | 0.271251i | ||||
\(657\) | 6.91038 | + | 2.02907i | 0.269600 | + | 0.0791616i | ||||
\(658\) | −19.5986 | − | 24.5097i | −0.764031 | − | 0.955488i | ||||
\(659\) | 10.9244 | − | 16.9986i | 0.425553 | − | 0.662173i | −0.560586 | − | 0.828096i | \(-0.689424\pi\) |
0.986139 | + | 0.165923i | \(0.0530605\pi\) | |||||||
\(660\) | −14.8482 | + | 19.5248i | −0.577964 | + | 0.760002i | ||||
\(661\) | 47.6931 | + | 6.85723i | 1.85505 | + | 0.266715i | 0.977214 | − | 0.212255i | \(-0.0680808\pi\) |
0.877831 | + | 0.478970i | \(0.158990\pi\) | |||||||
\(662\) | −0.528014 | + | 13.3650i | −0.0205218 | + | 0.519445i | ||||
\(663\) | 1.63282 | + | 11.3565i | 0.0634134 | + | 0.441050i | ||||
\(664\) | −12.0317 | − | 13.2210i | −0.466922 | − | 0.513075i | ||||
\(665\) | 12.6027 | − | 14.5443i | 0.488711 | − | 0.564003i | ||||
\(666\) | 8.94304 | + | 4.51900i | 0.346536 | + | 0.175108i | ||||
\(667\) | −10.2269 | − | 38.4661i | −0.395989 | − | 1.48941i | ||||
\(668\) | −8.42609 | − | 11.4354i | −0.326015 | − | 0.442451i | ||||
\(669\) | −11.2933 | − | 9.78572i | −0.436625 | − | 0.378338i | ||||
\(670\) | 3.52613 | + | 34.0090i | 0.136226 | + | 1.31388i | ||||
\(671\) | −7.44012 | − | 51.7472i | −0.287223 | − | 1.99768i | ||||
\(672\) | 13.8663 | + | 4.90867i | 0.534905 | + | 0.189356i | ||||
\(673\) | −1.76993 | + | 12.3102i | −0.0682259 | + | 0.474522i | 0.926852 | + | 0.375427i | \(0.122504\pi\) |
−0.995078 | + | 0.0990950i | \(0.968405\pi\) | |||||||
\(674\) | 3.57750 | − | 19.4078i | 0.137800 | − | 0.747562i | ||||
\(675\) | 0.661708 | − | 1.02964i | 0.0254691 | − | 0.0396308i | ||||
\(676\) | 55.7808 | − | 11.6926i | 2.14542 | − | 0.449717i | ||||
\(677\) | 8.59802 | − | 29.2822i | 0.330449 | − | 1.12540i | −0.611945 | − | 0.790900i | \(-0.709613\pi\) |
0.942394 | − | 0.334505i | \(-0.108569\pi\) | |||||||
\(678\) | −4.20167 | − | 16.7261i | −0.161364 | − | 0.642360i | ||||
\(679\) | 12.7411 | + | 14.7040i | 0.488959 | + | 0.564289i | ||||
\(680\) | 1.48530 | − | 12.4797i | 0.0569587 | − | 0.478575i | ||||
\(681\) | −7.88329 | + | 17.2620i | −0.302088 | + | 0.661481i | ||||
\(682\) | −31.6296 | − | 53.7718i | −1.21116 | − | 2.05903i | ||||
\(683\) | −2.83608 | − | 9.65880i | −0.108520 | − | 0.369584i | 0.887270 | − | 0.461250i | \(-0.152599\pi\) |
−0.995790 | + | 0.0916662i | \(0.970781\pi\) | |||||||
\(684\) | −2.80396 | − | 5.22883i | −0.107212 | − | 0.199929i | ||||
\(685\) | 2.41011 | − | 1.10066i | 0.0920855 | − | 0.0420540i | ||||
\(686\) | 25.2243 | + | 8.50169i | 0.963069 | + | 0.324596i | ||||
\(687\) | −0.688114 | + | 0.442224i | −0.0262532 | + | 0.0168719i | ||||
\(688\) | −16.8688 | + | 10.4833i | −0.643115 | + | 0.399672i | ||||
\(689\) | −25.3916 | −0.967342 | ||||||||
\(690\) | −16.5112 | + | 3.69866i | −0.628572 | + | 0.140805i | ||||
\(691\) | 38.4909i | 1.46426i | 0.681164 | + | 0.732131i | \(0.261474\pi\) | ||||
−0.681164 | + | 0.732131i | \(0.738526\pi\) | |||||||
\(692\) | −2.41056 | + | 30.4602i | −0.0916358 | + | 1.15792i | ||||
\(693\) | −6.91122 | − | 10.7541i | −0.262535 | − | 0.408513i | ||||
\(694\) | −5.57881 | + | 16.5522i | −0.211769 | + | 0.628312i | ||||
\(695\) | −9.24098 | − | 20.2349i | −0.350530 | − | 0.767555i | ||||
\(696\) | −0.571294 | − | 23.4672i | −0.0216549 | − | 0.889524i | ||||
\(697\) | −7.39101 | + | 2.17020i | −0.279955 | + | 0.0822021i | ||||
\(698\) | 20.7198 | + | 35.2246i | 0.784254 | + | 1.33327i | ||||
\(699\) | 2.47360 | + | 1.12965i | 0.0935601 | + | 0.0427274i | ||||
\(700\) | −2.17917 | − | 5.98053i | −0.0823649 | − | 0.226043i | ||||
\(701\) | 19.0953 | − | 16.5461i | 0.721218 | − | 0.624939i | −0.214895 | − | 0.976637i | \(-0.568941\pi\) |
0.936114 | + | 0.351698i | \(0.114396\pi\) | |||||||
\(702\) | 8.83554 | − | 2.21953i | 0.333476 | − | 0.0837709i | ||||
\(703\) | −20.1674 | − | 5.92170i | −0.760630 | − | 0.223341i | ||||
\(704\) | 39.1549 | + | 3.69620i | 1.47571 | + | 0.139306i | ||||
\(705\) | 17.9102 | + | 11.5102i | 0.674539 | + | 0.433500i | ||||
\(706\) | 2.96918 | − | 16.1077i | 0.111746 | − | 0.606222i | ||||
\(707\) | −30.1319 | − | 4.33231i | −1.13323 | − | 0.162933i | ||||
\(708\) | −14.0685 | + | 25.3070i | −0.528727 | + | 0.951094i | ||||
\(709\) | 41.2840 | − | 5.93574i | 1.55045 | − | 0.222921i | 0.686738 | − | 0.726905i | \(-0.259042\pi\) |
0.863713 | + | 0.503984i | \(0.168133\pi\) | |||||||
\(710\) | 19.9865 | − | 2.07224i | 0.750080 | − | 0.0777698i | ||||
\(711\) | −0.615297 | + | 0.710091i | −0.0230754 | + | 0.0266305i | ||||
\(712\) | 3.55080 | − | 0.599067i | 0.133072 | − | 0.0224510i | ||||
\(713\) | 7.21861 | − | 42.4234i | 0.270339 | − | 1.58877i | ||||
\(714\) | 5.84574 | + | 2.95390i | 0.218771 | + | 0.110547i | ||||
\(715\) | 59.7089 | + | 51.7380i | 2.23299 | + | 1.93489i | ||||
\(716\) | 14.6225 | − | 38.3157i | 0.546470 | − | 1.43193i | ||||
\(717\) | −4.64979 | + | 0.668539i | −0.173650 | + | 0.0249670i | ||||
\(718\) | 17.9182 | + | 0.707898i | 0.668700 | + | 0.0264185i | ||||
\(719\) | −1.27591 | + | 8.87417i | −0.0475835 | + | 0.330951i | 0.952100 | + | 0.305787i | \(0.0989197\pi\) |
−0.999683 | + | 0.0251633i | \(0.991989\pi\) | |||||||
\(720\) | −9.97798 | − | 0.151150i | −0.371857 | − | 0.00563303i | ||||
\(721\) | −7.74843 | − | 4.97961i | −0.288567 | − | 0.185451i | ||||
\(722\) | −9.00801 | − | 11.2653i | −0.335243 | − | 0.419251i | ||||
\(723\) | 0.457917 | − | 1.55952i | 0.0170301 | − | 0.0579993i | ||||
\(724\) | −4.54881 | − | 1.02567i | −0.169055 | − | 0.0381189i | ||||
\(725\) | −7.67682 | + | 6.65200i | −0.285110 | + | 0.247049i | ||||
\(726\) | −13.5817 | − | 12.7414i | −0.504064 | − | 0.472876i | ||||
\(727\) | −3.40334 | + | 7.45227i | −0.126223 | + | 0.276389i | −0.962185 | − | 0.272398i | \(-0.912183\pi\) |
0.835962 | + | 0.548788i | \(0.184910\pi\) | |||||||
\(728\) | 18.6268 | − | 43.5625i | 0.690353 | − | 1.61453i | ||||
\(729\) | 0.959493 | − | 0.281733i | 0.0355368 | − | 0.0104345i | ||||
\(730\) | −14.5709 | + | 20.8174i | −0.539295 | + | 0.770488i | ||||
\(731\) | −8.04425 | + | 3.67368i | −0.297527 | + | 0.135876i | ||||
\(732\) | 15.1526 | − | 14.9248i | 0.560056 | − | 0.551636i | ||||
\(733\) | −4.83784 | − | 7.52783i | −0.178690 | − | 0.278047i | 0.740342 | − | 0.672231i | \(-0.234664\pi\) |
−0.919032 | + | 0.394184i | \(0.871027\pi\) | |||||||
\(734\) | 14.5423 | + | 35.4877i | 0.536766 | + | 1.30988i | ||||
\(735\) | −0.594871 | −0.0219422 | ||||||||
\(736\) | 19.0104 | + | 19.3547i | 0.700731 | + | 0.713425i | ||||
\(737\) | −47.6421 | −1.75492 | ||||||||
\(738\) | 2.31923 | + | 5.65964i | 0.0853720 | + | 0.208334i | ||||
\(739\) | 10.7346 | + | 16.7033i | 0.394878 | + | 0.614442i | 0.980588 | − | 0.196079i | \(-0.0628207\pi\) |
−0.585710 | + | 0.810520i | \(0.699184\pi\) | |||||||
\(740\) | −25.1862 | + | 24.8075i | −0.925862 | + | 0.911943i | ||||
\(741\) | −17.3832 | + | 7.93866i | −0.638589 | + | 0.291634i | ||||
\(742\) | −8.31193 | + | 11.8752i | −0.305140 | + | 0.435953i | ||||
\(743\) | 9.71237 | − | 2.85181i | 0.356312 | − | 0.104623i | −0.0986773 | − | 0.995119i | \(-0.531461\pi\) |
0.454990 | + | 0.890497i | \(0.349643\pi\) | |||||||
\(744\) | 9.97810 | − | 23.3358i | 0.365815 | − | 0.855534i | ||||
\(745\) | 12.6124 | − | 27.6173i | 0.462082 | − | 1.01182i | ||||
\(746\) | −5.23445 | − | 4.91058i | −0.191647 | − | 0.179789i | ||||
\(747\) | −4.77648 | + | 4.13884i | −0.174762 | + | 0.151432i | ||||
\(748\) | 17.0830 | + | 3.85192i | 0.624618 | + | 0.140840i | ||||
\(749\) | −13.6108 | + | 46.3540i | −0.497327 | + | 1.69374i | ||||
\(750\) | −8.32014 | − | 10.4051i | −0.303809 | − | 0.379939i | ||||
\(751\) | −15.2735 | − | 9.81569i | −0.557338 | − | 0.358180i | 0.231448 | − | 0.972847i | \(-0.425654\pi\) |
−0.788786 | + | 0.614668i | \(0.789290\pi\) | |||||||
\(752\) | 0.517033 | − | 34.1313i | 0.0188542 | − | 1.24464i | ||||
\(753\) | −0.689507 | + | 4.79563i | −0.0251270 | + | 0.174762i | ||||
\(754\) | −75.5489 | − | 2.98473i | −2.75133 | − | 0.108697i | ||||
\(755\) | −41.9853 | + | 6.03658i | −1.52800 | + | 0.219694i | ||||
\(756\) | 1.85427 | − | 4.85879i | 0.0674393 | − | 0.176713i | ||||
\(757\) | 13.4627 | + | 11.6655i | 0.489312 | + | 0.423991i | 0.864253 | − | 0.503058i | \(-0.167792\pi\) |
−0.374941 | + | 0.927049i | \(0.622337\pi\) | |||||||
\(758\) | 22.4484 | + | 11.3434i | 0.815361 | + | 0.412009i | ||||
\(759\) | −2.75355 | − | 23.4155i | −0.0999476 | − | 0.849930i | ||||
\(760\) | 20.6415 | − | 3.48249i | 0.748746 | − | 0.126323i | ||||
\(761\) | −25.2920 | + | 29.1885i | −0.916833 | + | 1.05808i | 0.0812812 | + | 0.996691i | \(0.474099\pi\) |
−0.998114 | + | 0.0613901i | \(0.980447\pi\) | |||||||
\(762\) | 1.07563 | − | 0.111524i | 0.0389660 | − | 0.00404008i | ||||
\(763\) | 19.4184 | − | 2.79195i | 0.702995 | − | 0.101075i | ||||
\(764\) | 11.2770 | − | 20.2856i | 0.407989 | − | 0.733906i | ||||
\(765\) | −4.39815 | − | 0.632359i | −0.159016 | − | 0.0228630i | ||||
\(766\) | 5.67630 | − | 30.7938i | 0.205093 | − | 1.11262i | ||||
\(767\) | 78.4548 | + | 50.4199i | 2.83284 | + | 1.82056i | ||||
\(768\) | 8.23858 | + | 13.7159i | 0.297284 | + | 0.494930i | ||||
\(769\) | 37.0275 | + | 10.8723i | 1.33525 | + | 0.392064i | 0.869971 | − | 0.493102i | \(-0.164137\pi\) |
0.465275 | + | 0.885166i | \(0.345955\pi\) | |||||||
\(770\) | 43.7427 | − | 10.9884i | 1.57638 | − | 0.395994i | ||||
\(771\) | −1.86894 | + | 1.61945i | −0.0673083 | + | 0.0583230i | ||||
\(772\) | −7.27518 | − | 19.9660i | −0.261839 | − | 0.718593i | ||||
\(773\) | −8.89825 | − | 4.06369i | −0.320048 | − | 0.146161i | 0.248912 | − | 0.968526i | \(-0.419927\pi\) |
−0.568960 | + | 0.822365i | \(0.692654\pi\) | |||||||
\(774\) | 3.56016 | + | 6.05244i | 0.127967 | + | 0.217551i | ||||
\(775\) | −10.5375 | + | 3.09410i | −0.378519 | + | 0.111143i | ||||
\(776\) | 0.515050 | + | 21.1569i | 0.0184892 | + | 0.759487i | ||||
\(777\) | −7.65342 | − | 16.7587i | −0.274565 | − | 0.601214i | ||||
\(778\) | −1.40119 | + | 4.15731i | −0.0502352 | + | 0.149047i | ||||
\(779\) | −6.93663 | − | 10.7936i | −0.248530 | − | 0.386721i | ||||
\(780\) | −2.53570 | + | 32.0415i | −0.0907926 | + | 1.14727i | ||||
\(781\) | 27.9984i | 1.00186i | ||||||||
\(782\) | 7.29870 | + | 9.62553i | 0.261001 | + | 0.344208i | ||||
\(783\) | −8.29938 | −0.296596 | ||||||||
\(784\) | 0.503443 | + | 0.810094i | 0.0179801 | + | 0.0289319i | ||||
\(785\) | 47.1453 | − | 30.2984i | 1.68269 | − | 1.08140i | ||||
\(786\) | 8.47221 | + | 2.85550i | 0.302194 | + | 0.101852i | ||||
\(787\) | −12.0450 | + | 5.50076i | −0.429357 | + | 0.196081i | −0.618359 | − | 0.785896i | \(-0.712202\pi\) |
0.189002 | + | 0.981977i | \(0.439475\pi\) | |||||||
\(788\) | −16.7883 | − | 31.3069i | −0.598058 | − | 1.11526i | ||||
\(789\) | −1.73367 | − | 5.90435i | −0.0617204 | − | 0.210200i | ||||
\(790\) | −1.68074 | − | 2.85733i | −0.0597979 | − | 0.101659i | ||||
\(791\) | −13.1726 | + | 28.8440i | −0.468364 | + | 1.02557i | ||||
\(792\) | 1.64333 | − | 13.8074i | 0.0583930 | − | 0.490626i | ||||
\(793\) | −44.8603 | − | 51.7716i | −1.59304 | − | 1.83846i | ||||
\(794\) | 3.18575 | + | 12.6819i | 0.113058 | + | 0.450063i | ||||
\(795\) | 2.77047 | − | 9.43535i | 0.0982584 | − | 0.334637i | ||||
\(796\) | −16.7259 | + | 3.50605i | −0.592835 | + | 0.124269i | ||||
\(797\) | 8.56676 | − | 13.3301i | 0.303450 | − | 0.472178i | −0.655721 | − | 0.755003i | \(-0.727635\pi\) |
0.959171 | + | 0.282825i | \(0.0912717\pi\) | |||||||
\(798\) | −1.97762 | + | 10.7286i | −0.0700071 | + | 0.379787i | ||||
\(799\) | 2.16309 | − | 15.0446i | 0.0765245 | − | 0.532239i | ||||
\(800\) | 2.31046 | − | 6.52672i | 0.0816870 | − | 0.230755i | ||||
\(801\) | −0.181187 | − | 1.26018i | −0.00640192 | − | 0.0445263i | ||||
\(802\) | 2.39920 | + | 23.1400i | 0.0847187 | + | 0.817101i | ||||
\(803\) | −26.7584 | − | 23.1863i | −0.944285 | − | 0.818228i | ||||
\(804\) | −11.4974 | − | 15.6036i | −0.405480 | − | 0.550297i | ||||
\(805\) | 27.9579 | + | 13.6483i | 0.985386 | + | 0.481039i | ||||
\(806\) | −72.9593 | − | 36.8670i | −2.56988 | − | 1.29858i | ||||
\(807\) | 4.41083 | − | 5.09037i | 0.155268 | − | 0.179189i | ||||
\(808\) | −22.2866 | − | 24.4896i | −0.784041 | − | 0.861540i | ||||
\(809\) | −7.36931 | − | 51.2547i | −0.259091 | − | 1.80202i | −0.539336 | − | 0.842091i | \(-0.681325\pi\) |
0.280244 | − | 0.959929i | \(-0.409585\pi\) | |||||||
\(810\) | −0.139279 | + | 3.52540i | −0.00489376 | + | 0.123870i | ||||
\(811\) | −22.8971 | − | 3.29210i | −0.804025 | − | 0.115601i | −0.271964 | − | 0.962307i | \(-0.587673\pi\) |
−0.532061 | + | 0.846706i | \(0.678582\pi\) | |||||||
\(812\) | −26.1268 | + | 34.3559i | −0.916871 | + | 1.20565i | ||||
\(813\) | 7.18227 | − | 11.1758i | 0.251893 | − | 0.391953i | ||||
\(814\) | −30.7632 | − | 38.4721i | −1.07825 | − | 1.34845i | ||||
\(815\) | 17.5265 | + | 5.14623i | 0.613925 | + | 0.180265i | ||||
\(816\) | 2.86104 | + | 6.52456i | 0.100156 | + | 0.228405i | ||||
\(817\) | −9.64597 | − | 11.1320i | −0.337470 | − | 0.389461i | ||||
\(818\) | 22.2828 | − | 23.7524i | 0.779099 | − | 0.830483i | ||||
\(819\) | −15.2368 | − | 6.95843i | −0.532418 | − | 0.243147i | ||||
\(820\) | −21.5357 | + | 1.37641i | −0.752058 | + | 0.0480663i | ||||
\(821\) | −8.71484 | − | 29.6800i | −0.304150 | − | 1.03584i | −0.959779 | − | 0.280756i | \(-0.909415\pi\) |
0.655629 | − | 0.755083i | \(-0.272403\pi\) | |||||||
\(822\) | −0.861258 | + | 1.23047i | −0.0300398 | + | 0.0429177i | ||||
\(823\) | −15.2355 | − | 33.3610i | −0.531075 | − | 1.16289i | −0.965074 | − | 0.261979i | \(-0.915625\pi\) |
0.433999 | − | 0.900914i | \(-0.357102\pi\) | |||||||
\(824\) | −3.05569 | − | 9.54127i | −0.106450 | − | 0.332386i | ||||
\(825\) | −5.06182 | + | 3.25304i | −0.176230 | + | 0.113256i | ||||
\(826\) | 49.2627 | − | 20.1870i | 1.71407 | − | 0.702397i | ||||
\(827\) | 18.3082i | 0.636638i | 0.947984 | + | 0.318319i | \(0.103118\pi\) | ||||
−0.947984 | + | 0.318319i | \(0.896882\pi\) | |||||||
\(828\) | 7.00448 | − | 6.55265i | 0.243423 | − | 0.227720i | ||||
\(829\) | 13.7874i | 0.478858i | 0.970914 | + | 0.239429i | \(0.0769602\pi\) | ||||
−0.970914 | + | 0.239429i | \(0.923040\pi\) | |||||||
\(830\) | −8.45523 | − | 20.6334i | −0.293485 | − | 0.716195i | ||||
\(831\) | −14.3480 | + | 9.22087i | −0.497725 | + | 0.319869i | ||||
\(832\) | 45.7800 | − | 23.6638i | 1.58713 | − | 0.820394i | ||||
\(833\) | 0.176423 | + | 0.386312i | 0.00611268 | + | 0.0133849i | ||||
\(834\) | 10.3309 | + | 7.23100i | 0.357730 | + | 0.250389i | ||||
\(835\) | −4.99190 | − | 17.0009i | −0.172752 | − | 0.588339i | ||||
\(836\) | 1.86044 | + | 29.1089i | 0.0643446 | + | 1.00675i | ||||
\(837\) | −8.16217 | − | 3.72754i | −0.282126 | − | 0.128843i | ||||
\(838\) | −18.0766 | − | 16.9582i | −0.624447 | − | 0.585810i | ||||
\(839\) | −9.68051 | − | 11.1719i | −0.334208 | − | 0.385697i | 0.563626 | − | 0.826030i | \(-0.309406\pi\) |
−0.897835 | + | 0.440333i | \(0.854860\pi\) | |||||||
\(840\) | 14.1552 | + | 11.6747i | 0.488401 | + | 0.402815i | ||||
\(841\) | 38.2643 | + | 11.2354i | 1.31946 | + | 0.387428i | ||||
\(842\) | 43.1727 | − | 34.5219i | 1.48783 | − | 1.18970i | ||||
\(843\) | 7.73139 | − | 12.0303i | 0.266283 | − | 0.414345i | ||||
\(844\) | −1.19626 | + | 1.57304i | −0.0411770 | + | 0.0541463i | ||||
\(845\) | 70.3691 | + | 10.1175i | 2.42077 | + | 0.348054i | ||||
\(846\) | −12.0592 | − | 0.476426i | −0.414604 | − | 0.0163799i | ||||
\(847\) | 4.87305 | + | 33.8928i | 0.167440 | + | 1.16457i | ||||
\(848\) | −15.1937 | + | 4.21237i | −0.521753 | + | 0.144653i | ||||
\(849\) | −3.33143 | + | 3.84468i | −0.114335 | + | 0.131949i | ||||
\(850\) | 1.39037 | − | 2.75153i | 0.0476893 | − | 0.0943765i | ||||
\(851\) | 0.874604 | − | 33.9680i | 0.0299810 | − | 1.16441i | ||||
\(852\) | −9.16996 | + | 6.75679i | −0.314158 | + | 0.231484i | ||||
\(853\) | −29.7725 | − | 25.7980i | −1.01939 | − | 0.883308i | −0.0261830 | − | 0.999657i | \(-0.508335\pi\) |
−0.993208 | + | 0.116350i | \(0.962881\pi\) | |||||||
\(854\) | −38.8977 | + | 4.03299i | −1.33105 | + | 0.138006i | ||||
\(855\) | −1.05327 | − | 7.32568i | −0.0360212 | − | 0.250533i | ||||
\(856\) | −43.5028 | + | 29.4778i | −1.48690 | + | 1.00753i | ||||
\(857\) | 3.77630 | − | 26.2648i | 0.128996 | − | 0.897187i | −0.817834 | − | 0.575454i | \(-0.804825\pi\) |
0.946830 | − | 0.321733i | \(-0.104265\pi\) | |||||||
\(858\) | −44.0441 | − | 8.11876i | −1.50364 | − | 0.277170i | ||||
\(859\) | −18.7610 | + | 29.1927i | −0.640118 | + | 0.996044i | 0.357939 | + | 0.933745i | \(0.383480\pi\) |
−0.998058 | + | 0.0622987i | \(0.980157\pi\) | |||||||
\(860\) | −24.2473 | + | 5.08266i | −0.826826 | + | 0.173317i | ||||
\(861\) | 3.16841 | − | 10.7906i | 0.107979 | − | 0.367743i | ||||
\(862\) | 30.0532 | − | 7.54953i | 1.02362 | − | 0.257138i | ||||
\(863\) | 9.94341 | + | 11.4753i | 0.338477 | + | 0.390624i | 0.899315 | − | 0.437302i | \(-0.144066\pi\) |
−0.560837 | + | 0.827926i | \(0.689521\pi\) | |||||||
\(864\) | 4.91875 | − | 2.79390i | 0.167339 | − | 0.0950503i | ||||
\(865\) | −15.8334 | + | 34.6703i | −0.538351 | + | 1.17882i | ||||
\(866\) | −16.4193 | + | 9.65816i | −0.557951 | + | 0.328198i | ||||
\(867\) | −3.89574 | − | 13.2677i | −0.132306 | − | 0.450593i | ||||
\(868\) | −41.1253 | + | 22.0534i | −1.39588 | + | 0.748542i | ||||
\(869\) | 4.20169 | − | 1.91885i | 0.142533 | − | 0.0650925i | ||||
\(870\) | 9.35223 | − | 27.7478i | 0.317070 | − | 0.940739i | ||||
\(871\) | −52.5172 | + | 33.7507i | −1.77948 | + | 1.14360i | ||||
\(872\) | 18.2272 | + | 11.0966i | 0.617250 | + | 0.375777i | ||||
\(873\) | 7.48230 | 0.253237 | ||||||||
\(874\) | −11.9581 | + | 16.1813i | −0.404489 | + | 0.547342i | ||||
\(875\) | 24.4960i | 0.828116i | ||||||||
\(876\) | 1.13637 | − | 14.3593i | 0.0383944 | − | 0.485157i | ||||
\(877\) | −21.9385 | − | 34.1369i | −0.740810 | − | 1.15272i | −0.983198 | − | 0.182543i | \(-0.941567\pi\) |
0.242388 | − | 0.970179i | \(-0.422069\pi\) | |||||||
\(878\) | 23.1879 | + | 7.81535i | 0.782555 | + | 0.263755i | ||||
\(879\) | −0.812131 | − | 1.77832i | −0.0273925 | − | 0.0599812i | ||||
\(880\) | 44.3114 | + | 21.0533i | 1.49374 | + | 0.709705i | ||||
\(881\) | 46.5654 | − | 13.6728i | 1.56883 | − | 0.460649i | 0.622167 | − | 0.782884i | \(-0.286252\pi\) |
0.946660 | + | 0.322235i | \(0.104434\pi\) | |||||||
\(882\) | 0.290658 | − | 0.170971i | 0.00978698 | − | 0.00575689i | ||||
\(883\) | 3.01396 | + | 1.37643i | 0.101428 | + | 0.0463205i | 0.465483 | − | 0.885057i | \(-0.345881\pi\) |
−0.364055 | + | 0.931377i | \(0.618608\pi\) | |||||||
\(884\) | 21.5599 | − | 7.85594i | 0.725137 | − | 0.264224i | ||||
\(885\) | −27.2959 | + | 23.6520i | −0.917541 | + | 0.795054i | ||||
\(886\) | −1.09050 | − | 4.34108i | −0.0366361 | − | 0.145842i | ||||
\(887\) | 33.2161 | + | 9.75314i | 1.11529 | + | 0.327478i | 0.786910 | − | 0.617068i | \(-0.211680\pi\) |
0.328379 | + | 0.944546i | \(0.393498\pi\) | |||||||
\(888\) | 5.17626 | − | 19.3598i | 0.173704 | − | 0.649674i | ||||
\(889\) | −1.67271 | − | 1.07499i | −0.0561009 | − | 0.0360539i | ||||
\(890\) | 4.41741 | + | 0.814273i | 0.148072 | + | 0.0272945i | ||||
\(891\) | −4.86608 | − | 0.699637i | −0.163020 | − | 0.0234387i | ||||
\(892\) | −14.5213 | + | 26.1214i | −0.486208 | + | 0.874611i | ||||
\(893\) | 25.0587 | − | 3.60289i | 0.838556 | − | 0.120566i | ||||
\(894\) | 1.77492 | + | 17.1189i | 0.0593623 | + | 0.572541i | ||||
\(895\) | 33.5007 | − | 38.6618i | 1.11980 | − | 1.29232i | ||||
\(896\) | 3.91891 | − | 29.1568i | 0.130922 | − | 0.974061i | ||||
\(897\) | −19.6234 | − | 23.8609i | −0.655207 | − | 0.796692i | ||||
\(898\) | −0.383591 | + | 0.759121i | −0.0128006 | + | 0.0253322i | ||||
\(899\) | 56.2812 | + | 48.7680i | 1.87708 | + | 1.62650i | ||||
\(900\) | −2.28698 | − | 0.872787i | −0.0762327 | − | 0.0290929i | ||||
\(901\) | −6.94899 | + | 0.999114i | −0.231504 | + | 0.0332853i | ||||
\(902\) | 1.18702 | − | 30.0455i | 0.0395233 | − | 1.00041i | ||||
\(903\) | 1.83743 | − | 12.7796i | 0.0611460 | − | 0.425280i | ||||
\(904\) | −31.0165 | + | 15.0876i | −1.03159 | + | 0.501806i | ||||
\(905\) | −4.89323 | − | 3.14469i | −0.162656 | − | 0.104533i | ||||
\(906\) | 18.7794 | − | 15.0164i | 0.623903 | − | 0.498888i | ||||
\(907\) | −3.94953 | + | 13.4509i | −0.131142 | + | 0.446628i | −0.998715 | − | 0.0506817i | \(-0.983861\pi\) |
0.867573 | + | 0.497310i | \(0.165679\pi\) | |||||||
\(908\) | 37.0243 | + | 8.34831i | 1.22869 | + | 0.277048i | ||||
\(909\) | −8.84757 | + | 7.66647i | −0.293455 | + | 0.254281i | ||||
\(910\) | 40.4343 | − | 43.1011i | 1.34038 | − | 1.42879i | ||||
\(911\) | −20.2729 | + | 44.3915i | −0.671672 | + | 1.47076i | 0.199559 | + | 0.979886i | \(0.436049\pi\) |
−0.871232 | + | 0.490872i | \(0.836678\pi\) | |||||||
\(912\) | −9.08469 | + | 7.63411i | −0.300824 | + | 0.252791i | ||||
\(913\) | 29.8122 | − | 8.75366i | 0.986641 | − | 0.289704i | ||||
\(914\) | 35.2135 | + | 24.6473i | 1.16476 | + | 0.815262i | ||||
\(915\) | 24.1327 | − | 11.0210i | 0.797802 | − | 0.364344i | ||||
\(916\) | 1.14798 | + | 1.16550i | 0.0379303 | + | 0.0385092i | ||||
\(917\) | −8.88747 | − | 13.8292i | −0.293490 | − | 0.456679i | ||||
\(918\) | 2.33071 | − | 0.955090i | 0.0769251 | − | 0.0315227i | ||||
\(919\) | 36.1028 | 1.19092 | 0.595461 | − | 0.803384i | \(-0.296970\pi\) | ||||
0.595461 | + | 0.803384i | \(0.296970\pi\) | |||||||
\(920\) | 14.0148 | + | 30.8024i | 0.462055 | + | 1.01553i | ||||
\(921\) | −10.7695 | −0.354868 | ||||||||
\(922\) | 29.1982 | − | 11.9650i | 0.961593 | − | 0.394045i | ||||
\(923\) | 19.8347 | + | 30.8634i | 0.652867 | + | 1.01588i | ||||
\(924\) | −18.2148 | + | 17.9410i | −0.599224 | + | 0.590215i | ||||
\(925\) | −7.88812 | + | 3.60238i | −0.259360 | + | 0.118446i | ||||
\(926\) | 33.8269 | + | 23.6768i | 1.11162 | + | 0.778067i | ||||
\(927\) | −3.39864 | + | 0.997931i | −0.111626 | + | 0.0327764i | ||||
\(928\) | −45.7017 | + | 10.7473i | −1.50023 | + | 0.352798i | ||||
\(929\) | 21.2409 | − | 46.5110i | 0.696890 | − | 1.52598i | −0.146812 | − | 0.989164i | \(-0.546901\pi\) |
0.843702 | − | 0.536812i | \(-0.180371\pi\) | |||||||
\(930\) | 21.6601 | − | 23.0887i | 0.710263 | − | 0.757107i | ||||
\(931\) | −0.534598 | + | 0.463232i | −0.0175207 | + | 0.0151818i | ||||
\(932\) | 1.19629 | − | 5.30548i | 0.0391858 | − | 0.173787i | ||||
\(933\) | −3.93389 | + | 13.3976i | −0.128790 | + | 0.438618i | ||||
\(934\) | 1.12534 | − | 0.899852i | 0.0368224 | − | 0.0294441i | ||||
\(935\) | 18.3765 | + | 11.8099i | 0.600976 | + | 0.386224i | ||||
\(936\) | −7.97002 | − | 16.3845i | −0.260508 | − | 0.535544i | ||||
\(937\) | 5.06836 | − | 35.2512i | 0.165576 | − | 1.15161i | −0.722319 | − | 0.691560i | \(-0.756924\pi\) |
0.887895 | − | 0.460047i | \(-0.152167\pi\) | |||||||
\(938\) | −1.40684 | + | 35.6097i | −0.0459350 | + | 1.16270i | ||||
\(939\) | 23.0181 | − | 3.30951i | 0.751169 | − | 0.108002i | ||||
\(940\) | 15.1819 | − | 39.7814i | 0.495178 | − | 1.29753i | ||||
\(941\) | 9.87223 | + | 8.55434i | 0.321825 | + | 0.278863i | 0.800758 | − | 0.598989i | \(-0.204431\pi\) |
−0.478932 | + | 0.877852i | \(0.658976\pi\) | |||||||
\(942\) | −14.3275 | + | 28.3539i | −0.466815 | + | 0.923821i | ||||
\(943\) | 13.9819 | − | 15.3207i | 0.455314 | − | 0.498912i | ||||
\(944\) | 55.3099 | + | 17.1546i | 1.80018 | + | 0.558335i | ||||
\(945\) | 4.24820 | − | 4.90268i | 0.138194 | − | 0.159484i | ||||
\(946\) | −3.56006 | − | 34.3363i | −0.115748 | − | 1.11637i | ||||
\(947\) | 0.192295 | − | 0.0276479i | 0.00624875 | − | 0.000898435i | −0.139190 | − | 0.990266i | \(-0.544450\pi\) |
0.145439 | + | 0.989367i | \(0.453541\pi\) | |||||||
\(948\) | 1.64244 | + | 0.913055i | 0.0533440 | + | 0.0296547i | ||||
\(949\) | −45.9223 | − | 6.60263i | −1.49070 | − | 0.214330i | ||||
\(950\) | 5.04981 | + | 0.930845i | 0.163838 | + | 0.0302006i | ||||
\(951\) | 8.66816 | + | 5.57069i | 0.281084 | + | 0.180642i | ||||
\(952\) | 3.38353 | − | 12.6548i | 0.109661 | − | 0.410145i | ||||
\(953\) | 25.2340 | + | 7.40936i | 0.817408 | + | 0.240013i | 0.663600 | − | 0.748088i | \(-0.269028\pi\) |
0.153809 | + | 0.988101i | \(0.450846\pi\) | |||||||
\(954\) | 1.35812 | + | 5.40643i | 0.0439709 | + | 0.175040i | ||||
\(955\) | 21.8798 | − | 18.9590i | 0.708015 | − | 0.613498i | ||||
\(956\) | 3.21653 | + | 8.82745i | 0.104030 | + | 0.285500i | ||||
\(957\) | 37.1137 | + | 16.9492i | 1.19971 | + | 0.547891i | ||||
\(958\) | 2.92397 | − | 1.71994i | 0.0944693 | − | 0.0555686i | ||||
\(959\) | 2.64974 | − | 0.778034i | 0.0855646 | − | 0.0251240i | ||||
\(960\) | 3.79827 | + | 19.5935i | 0.122589 | + | 0.632377i | ||||
\(961\) | 20.5695 | + | 45.0409i | 0.663532 | + | 1.45293i | ||||
\(962\) | −61.1656 | − | 20.6155i | −1.97206 | − | 0.664669i | ||||
\(963\) | 10.0446 | + | 15.6297i | 0.323682 | + | 0.503659i | ||||
\(964\) | −3.24059 | − | 0.256454i | −0.104372 | − | 0.00825983i | ||||
\(965\) | − | 26.5073i | − | 0.853300i | ||||||
\(966\) | −17.5831 | + | 1.36667i | −0.565725 | + | 0.0439720i | ||||
\(967\) | −13.1658 | −0.423383 | −0.211691 | − | 0.977337i | \(-0.567897\pi\) | ||||
−0.211691 | + | 0.977337i | \(0.567897\pi\) | |||||||
\(968\) | −19.3679 | + | 31.8136i | −0.622507 | + | 1.02253i | ||||
\(969\) | −4.44495 | + | 2.85660i | −0.142792 | + | 0.0917671i | ||||
\(970\) | −8.43149 | + | 25.0160i | −0.270719 | + | 0.803216i | ||||
\(971\) | −8.58742 | + | 3.92174i | −0.275583 | + | 0.125855i | −0.548413 | − | 0.836208i | \(-0.684768\pi\) |
0.272829 | + | 0.962062i | \(0.412041\pi\) | |||||||
\(972\) | −0.945176 | − | 1.76257i | −0.0303165 | − | 0.0565344i | ||||
\(973\) | −6.53227 | − | 22.2469i | −0.209415 | − | 0.713201i | ||||
\(974\) | −0.834633 | + | 0.490947i | −0.0267434 | + | 0.0157310i | ||||
\(975\) | −3.27526 | + | 7.17182i | −0.104892 | + | 0.229682i | ||||
\(976\) | −35.4320 | − | 23.5366i | −1.13415 | − | 0.753390i | ||||
\(977\) | −25.9722 | − | 29.9735i | −0.830923 | − | 0.958936i | 0.168720 | − | 0.985664i | \(-0.446037\pi\) |
−0.999643 | + | 0.0267277i | \(0.991491\pi\) | |||||||
\(978\) | −10.0426 | + | 2.52276i | −0.321127 | + | 0.0806689i | ||||
\(979\) | −1.76334 | + | 6.00538i | −0.0563566 | + | 0.191933i | ||||
\(980\) | 0.244086 | + | 1.16444i | 0.00779705 | + | 0.0371965i | ||||
\(981\) | 4.07890 | − | 6.34689i | 0.130229 | − | 0.202641i | ||||
\(982\) | −53.0610 | − | 9.78087i | −1.69324 | − | 0.312120i | ||||
\(983\) | −0.165213 | + | 1.14908i | −0.00526947 | + | 0.0366500i | −0.992287 | − | 0.123965i | \(-0.960439\pi\) |
0.987017 | + | 0.160615i | \(0.0513479\pi\) | |||||||
\(984\) | 10.1269 | − | 6.86204i | 0.322833 | − | 0.218754i | ||||
\(985\) | −6.30633 | − | 43.8615i | −0.200936 | − | 1.39754i | ||||
\(986\) | −20.7931 | + | 2.15588i | −0.662189 | + | 0.0686571i | ||||
\(987\) | 16.7704 | + | 14.5316i | 0.533808 | + | 0.462547i | ||||
\(988\) | 22.6722 | + | 30.7696i | 0.721299 | + | 0.978910i | ||||
\(989\) | 13.3853 | − | 19.6942i | 0.425627 | − | 0.626240i | ||||
\(990\) | 7.82252 | − | 15.4807i | 0.248616 | − | 0.492008i | ||||
\(991\) | −19.0817 | + | 22.0215i | −0.606151 | + | 0.699536i | −0.973016 | − | 0.230738i | \(-0.925886\pi\) |
0.366864 | + | 0.930274i | \(0.380431\pi\) | |||||||
\(992\) | −49.7731 | − | 9.95659i | −1.58030 | − | 0.316122i | ||||
\(993\) | −1.34599 | − | 9.36157i | −0.0427137 | − | 0.297081i | ||||
\(994\) | 20.9272 | + | 0.826775i | 0.663770 | + | 0.0262237i | ||||
\(995\) | −21.1002 | − | 3.03375i | −0.668922 | − | 0.0961765i | ||||
\(996\) | 10.0615 | + | 7.65152i | 0.318810 | + | 0.242448i | ||||
\(997\) | 12.7963 | − | 19.9115i | 0.405264 | − | 0.630603i | −0.577299 | − | 0.816533i | \(-0.695893\pi\) |
0.982563 | + | 0.185930i | \(0.0595297\pi\) | |||||||
\(998\) | 40.3708 | − | 32.2815i | 1.27792 | − | 1.02185i | ||||
\(999\) | −6.79817 | − | 1.99612i | −0.215085 | − | 0.0631546i |
(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 | 552.2.bb.a.85.29 | yes | 480 | |
8.5 | even | 2 | inner | 552.2.bb.a.85.4 | yes | 480 | |
23.13 | even | 11 | inner | 552.2.bb.a.13.4 | ✓ | 480 | |
184.13 | even | 22 | inner | 552.2.bb.a.13.29 | yes | 480 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
552.2.bb.a.13.4 | ✓ | 480 | 23.13 | even | 11 | inner | |
552.2.bb.a.13.29 | yes | 480 | 184.13 | even | 22 | inner | |
552.2.bb.a.85.4 | yes | 480 | 8.5 | even | 2 | inner | |
552.2.bb.a.85.29 | yes | 480 | 1.1 | even | 1 | trivial |