Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [360,2,Mod(77,360)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(360, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 6, 10, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("360.77");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 360 = 2^{3} \cdot 3^{2} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 360.br (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.87461447277\) |
Analytic rank: | \(0\) |
Dimension: | \(256\) |
Relative dimension: | \(64\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 77.17 | ||
Character | \(\chi\) | \(=\) | 360.77 |
Dual form | 360.2.br.e.173.17 |
$q$-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 \(\left(\mathbb{Z}/360\mathbb{Z}\right)^\times\).
\(n\) | \(181\) | \(217\) | \(271\) | \(281\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{4}\right)\) | \(1\) | \(e\left(\frac{5}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.922014 | + | 1.07233i | −0.651962 | + | 0.758251i | ||||
\(3\) | −1.71827 | + | 0.218017i | −0.992046 | + | 0.125872i | ||||
\(4\) | −0.299780 | − | 1.97741i | −0.149890 | − | 0.988703i | ||||
\(5\) | 0.420988 | − | 2.19608i | 0.188272 | − | 0.982117i | ||||
\(6\) | 1.35049 | − | 2.04357i | 0.551334 | − | 0.834284i | ||||
\(7\) | −0.688838 | + | 2.57078i | −0.260356 | + | 0.971663i | 0.704676 | + | 0.709530i | \(0.251093\pi\) |
−0.965032 | + | 0.262133i | \(0.915574\pi\) | |||||||
\(8\) | 2.39683 | + | 1.50173i | 0.847408 | + | 0.530943i | ||||
\(9\) | 2.90494 | − | 0.749227i | 0.968312 | − | 0.249742i | ||||
\(10\) | 1.96676 | + | 2.47626i | 0.621945 | + | 0.783061i | ||||
\(11\) | 0.0544515 | + | 0.0943128i | 0.0164178 | + | 0.0284364i | 0.874118 | − | 0.485714i | \(-0.161440\pi\) |
−0.857700 | + | 0.514151i | \(0.828107\pi\) | |||||||
\(12\) | 0.946212 | + | 3.33237i | 0.273148 | + | 0.961972i | ||||
\(13\) | −4.03491 | + | 1.08115i | −1.11908 | + | 0.299857i | −0.770512 | − | 0.637426i | \(-0.779999\pi\) |
−0.348570 | + | 0.937283i | \(0.613333\pi\) | |||||||
\(14\) | −2.12160 | − | 3.10895i | −0.567022 | − | 0.830903i | ||||
\(15\) | −0.244590 | + | 3.86525i | −0.0631528 | + | 0.998004i | ||||
\(16\) | −3.82026 | + | 1.18557i | −0.955066 | + | 0.296393i | ||||
\(17\) | −0.688778 | + | 0.688778i | −0.167053 | + | 0.167053i | −0.785683 | − | 0.618630i | \(-0.787688\pi\) |
0.618630 | + | 0.785683i | \(0.287688\pi\) | |||||||
\(18\) | −1.87497 | + | 3.80585i | −0.441936 | + | 0.897047i | ||||
\(19\) | −5.72781 | −1.31405 | −0.657025 | − | 0.753869i | \(-0.728185\pi\) | ||||
−0.657025 | + | 0.753869i | \(0.728185\pi\) | |||||||
\(20\) | −4.46874 | − | 0.174124i | −0.999242 | − | 0.0389353i | ||||
\(21\) | 0.623139 | − | 4.56748i | 0.135980 | − | 0.996706i | ||||
\(22\) | −0.151340 | − | 0.0285678i | −0.0322657 | − | 0.00609068i | ||||
\(23\) | 0.0972621 | − | 0.0260613i | 0.0202806 | − | 0.00543416i | −0.248665 | − | 0.968590i | \(-0.579992\pi\) |
0.268945 | + | 0.963156i | \(0.413325\pi\) | |||||||
\(24\) | −4.44582 | − | 2.05784i | −0.907499 | − | 0.420055i | ||||
\(25\) | −4.64554 | − | 1.84905i | −0.929108 | − | 0.369809i | ||||
\(26\) | 2.56089 | − | 5.32358i | 0.502232 | − | 1.04404i | ||||
\(27\) | −4.82814 | + | 1.92070i | −0.929175 | + | 0.369640i | ||||
\(28\) | 5.28997 | + | 0.591445i | 0.999710 | + | 0.111773i | ||||
\(29\) | 3.42010 | − | 1.97460i | 0.635097 | − | 0.366673i | −0.147626 | − | 0.989043i | \(-0.547163\pi\) |
0.782723 | + | 0.622370i | \(0.213830\pi\) | |||||||
\(30\) | −3.91931 | − | 3.82610i | −0.715564 | − | 0.698547i | ||||
\(31\) | −4.73047 | + | 8.19341i | −0.849617 | + | 1.47158i | 0.0319336 | + | 0.999490i | \(0.489833\pi\) |
−0.881551 | + | 0.472090i | \(0.843500\pi\) | |||||||
\(32\) | 2.25101 | − | 5.18969i | 0.397927 | − | 0.917417i | ||||
\(33\) | −0.114125 | − | 0.150184i | −0.0198665 | − | 0.0261437i | ||||
\(34\) | −0.103534 | − | 1.37366i | −0.0177559 | − | 0.235581i | ||||
\(35\) | 5.35564 | + | 2.59501i | 0.905269 | + | 0.438637i | ||||
\(36\) | −2.35237 | − | 5.51963i | −0.392061 | − | 0.919939i | ||||
\(37\) | −2.63901 | + | 2.63901i | −0.433851 | + | 0.433851i | −0.889936 | − | 0.456085i | \(-0.849251\pi\) |
0.456085 | + | 0.889936i | \(0.349251\pi\) | |||||||
\(38\) | 5.28112 | − | 6.14210i | 0.856711 | − | 0.996380i | ||||
\(39\) | 6.69737 | − | 2.73739i | 1.07244 | − | 0.438334i | ||||
\(40\) | 4.30696 | − | 4.63142i | 0.680991 | − | 0.732292i | ||||
\(41\) | −7.31105 | − | 4.22104i | −1.14179 | − | 0.659215i | −0.194920 | − | 0.980819i | \(-0.562445\pi\) |
−0.946874 | + | 0.321604i | \(0.895778\pi\) | |||||||
\(42\) | 4.32330 | + | 4.87949i | 0.667100 | + | 0.752922i | ||||
\(43\) | 0.543759 | − | 2.02933i | 0.0829224 | − | 0.309471i | −0.911990 | − | 0.410212i | \(-0.865455\pi\) |
0.994913 | + | 0.100741i | \(0.0321214\pi\) | |||||||
\(44\) | 0.170171 | − | 0.135946i | 0.0256543 | − | 0.0204946i | ||||
\(45\) | −0.422420 | − | 6.69489i | −0.0629706 | − | 0.998015i | ||||
\(46\) | −0.0617308 | + | 0.128326i | −0.00910170 | + | 0.0189206i | ||||
\(47\) | −7.20053 | − | 1.92938i | −1.05031 | − | 0.281429i | −0.307928 | − | 0.951410i | \(-0.599636\pi\) |
−0.742378 | + | 0.669981i | \(0.766302\pi\) | |||||||
\(48\) | 6.30579 | − | 2.87002i | 0.910162 | − | 0.414252i | ||||
\(49\) | −0.0722221 | − | 0.0416974i | −0.0103174 | − | 0.00595678i | ||||
\(50\) | 6.26604 | − | 3.27670i | 0.886152 | − | 0.463395i | ||||
\(51\) | 1.03334 | − | 1.33368i | 0.144697 | − | 0.186752i | ||||
\(52\) | 3.34746 | + | 7.65454i | 0.464209 | + | 1.06149i | ||||
\(53\) | −9.53682 | + | 9.53682i | −1.30998 | + | 1.30998i | −0.388559 | + | 0.921424i | \(0.627027\pi\) |
−0.921424 | + | 0.388559i | \(0.872973\pi\) | |||||||
\(54\) | 2.39198 | − | 6.94827i | 0.325508 | − | 0.945539i | ||||
\(55\) | 0.230042 | − | 0.0798754i | 0.0310189 | − | 0.0107704i | ||||
\(56\) | −5.51165 | + | 5.12727i | −0.736525 | + | 0.685160i | ||||
\(57\) | 9.84195 | − | 1.24876i | 1.30360 | − | 0.165402i | ||||
\(58\) | −1.03596 | + | 5.48808i | −0.136029 | + | 0.720620i | ||||
\(59\) | 7.24384 | + | 4.18223i | 0.943068 | + | 0.544481i | 0.890921 | − | 0.454159i | \(-0.150060\pi\) |
0.0521473 | + | 0.998639i | \(0.483393\pi\) | |||||||
\(60\) | 7.71649 | − | 0.675071i | 0.996195 | − | 0.0871513i | ||||
\(61\) | −7.40292 | + | 4.27408i | −0.947847 | + | 0.547240i | −0.892411 | − | 0.451223i | \(-0.850988\pi\) |
−0.0554355 | + | 0.998462i | \(0.517655\pi\) | |||||||
\(62\) | −4.42447 | − | 12.6271i | −0.561909 | − | 1.60364i | ||||
\(63\) | −0.0749338 | + | 7.98404i | −0.00944077 | + | 1.00589i | ||||
\(64\) | 3.48959 | + | 7.19880i | 0.436199 | + | 0.899850i | ||||
\(65\) | 0.675645 | + | 9.31613i | 0.0838035 | + | 1.15552i | ||||
\(66\) | 0.266271 | + | 0.0160927i | 0.0327757 | + | 0.00198088i | ||||
\(67\) | 0.869122 | + | 3.24361i | 0.106180 | + | 0.396270i | 0.998476 | − | 0.0551807i | \(-0.0175735\pi\) |
−0.892296 | + | 0.451450i | \(0.850907\pi\) | |||||||
\(68\) | 1.56848 | + | 1.15551i | 0.190206 | + | 0.140126i | ||||
\(69\) | −0.161441 | + | 0.0659853i | −0.0194352 | + | 0.00794370i | ||||
\(70\) | −7.72068 | + | 3.35038i | −0.922798 | + | 0.400446i | ||||
\(71\) | − | 1.84241i | − | 0.218654i | −0.994006 | − | 0.109327i | \(-0.965130\pi\) | ||
0.994006 | − | 0.109327i | \(-0.0348696\pi\) | |||||||
\(72\) | 8.08778 | + | 2.56667i | 0.953154 | + | 0.302485i | ||||
\(73\) | 10.1414 | − | 10.1414i | 1.18696 | − | 1.18696i | 0.209056 | − | 0.977904i | \(-0.432961\pi\) |
0.977904 | − | 0.209056i | \(-0.0670393\pi\) | |||||||
\(74\) | −0.396683 | − | 5.26310i | −0.0461135 | − | 0.611823i | ||||
\(75\) | 8.38544 | + | 2.16436i | 0.968267 | + | 0.249919i | ||||
\(76\) | 1.71708 | + | 11.3262i | 0.196963 | + | 1.29920i | ||||
\(77\) | −0.279966 | + | 0.0750166i | −0.0319050 | + | 0.00854893i | ||||
\(78\) | −3.23968 | + | 9.70570i | −0.366822 | + | 1.09895i | ||||
\(79\) | −2.80886 | + | 1.62169i | −0.316021 | + | 0.182455i | −0.649618 | − | 0.760261i | \(-0.725071\pi\) |
0.333597 | + | 0.942716i | \(0.391738\pi\) | |||||||
\(80\) | 0.995325 | + | 8.88872i | 0.111281 | + | 0.993789i | ||||
\(81\) | 7.87732 | − | 4.35292i | 0.875257 | − | 0.483657i | ||||
\(82\) | 11.2672 | − | 3.94800i | 1.24426 | − | 0.435983i | ||||
\(83\) | 8.99388 | + | 2.40990i | 0.987206 | + | 0.264521i | 0.716077 | − | 0.698022i | \(-0.245936\pi\) |
0.271130 | + | 0.962543i | \(0.412603\pi\) | |||||||
\(84\) | −9.21857 | + | 0.137040i | −1.00583 | + | 0.0149523i | ||||
\(85\) | 1.22265 | + | 1.80258i | 0.132614 | + | 0.195517i | ||||
\(86\) | 1.67476 | + | 2.45416i | 0.180594 | + | 0.264639i | ||||
\(87\) | −5.44618 | + | 4.13854i | −0.583892 | + | 0.443698i | ||||
\(88\) | −0.0111216 | + | 0.307824i | −0.00118557 | + | 0.0328141i | ||||
\(89\) | −6.68773 | −0.708898 | −0.354449 | − | 0.935075i | \(-0.615332\pi\) | ||||
−0.354449 | + | 0.935075i | \(0.615332\pi\) | |||||||
\(90\) | 7.56860 | + | 5.71981i | 0.797801 | + | 0.602921i | ||||
\(91\) | − | 11.1176i | − | 1.16544i | ||||||
\(92\) | −0.0806910 | − | 0.184514i | −0.00841262 | − | 0.0192369i | ||||
\(93\) | 6.34194 | − | 15.1099i | 0.657628 | − | 1.56682i | ||||
\(94\) | 8.70792 | − | 5.94243i | 0.898154 | − | 0.612915i | ||||
\(95\) | −2.41134 | + | 12.5787i | −0.247398 | + | 1.29055i | ||||
\(96\) | −2.73642 | + | 9.40808i | −0.279285 | + | 0.960208i | ||||
\(97\) | −1.97646 | + | 7.37624i | −0.200679 | + | 0.748944i | 0.790045 | + | 0.613049i | \(0.210057\pi\) |
−0.990723 | + | 0.135894i | \(0.956609\pi\) | |||||||
\(98\) | 0.111303 | − | 0.0390002i | 0.0112433 | − | 0.00393962i | ||||
\(99\) | 0.228840 | + | 0.233176i | 0.0229993 | + | 0.0234351i | ||||
\(100\) | −2.26368 | + | 9.74042i | −0.226368 | + | 0.974042i | ||||
\(101\) | −1.34350 | − | 2.32701i | −0.133683 | − | 0.231546i | 0.791410 | − | 0.611285i | \(-0.209347\pi\) |
−0.925094 | + | 0.379739i | \(0.876014\pi\) | |||||||
\(102\) | 0.477381 | + | 2.33775i | 0.0472678 | + | 0.231472i | ||||
\(103\) | −1.32955 | − | 4.96196i | −0.131005 | − | 0.488916i | 0.868978 | − | 0.494851i | \(-0.164777\pi\) |
−0.999982 | + | 0.00593496i | \(0.998111\pi\) | |||||||
\(104\) | −11.2946 | − | 3.46802i | −1.10753 | − | 0.340067i | ||||
\(105\) | −9.76822 | − | 3.29132i | −0.953281 | − | 0.321200i | ||||
\(106\) | −1.43353 | − | 19.0197i | −0.139236 | − | 1.84736i | ||||
\(107\) | −8.27320 | − | 8.27320i | −0.799801 | − | 0.799801i | 0.183263 | − | 0.983064i | \(-0.441334\pi\) |
−0.983064 | + | 0.183263i | \(0.941334\pi\) | |||||||
\(108\) | 5.24539 | + | 8.97139i | 0.504738 | + | 0.863273i | ||||
\(109\) | 17.4163 | 1.66818 | 0.834090 | − | 0.551628i | \(-0.185993\pi\) | ||||
0.834090 | + | 0.551628i | \(0.185993\pi\) | |||||||
\(110\) | −0.126449 | + | 0.320327i | −0.0120565 | + | 0.0305420i | ||||
\(111\) | 3.95920 | − | 5.10990i | 0.375791 | − | 0.485010i | ||||
\(112\) | −0.416299 | − | 10.6377i | −0.0393365 | − | 1.00517i | ||||
\(113\) | 11.3221 | − | 3.03376i | 1.06510 | − | 0.285392i | 0.316620 | − | 0.948553i | \(-0.397452\pi\) |
0.748477 | + | 0.663161i | \(0.230785\pi\) | |||||||
\(114\) | −7.73534 | + | 11.7052i | −0.724481 | + | 1.09629i | ||||
\(115\) | −0.0162865 | − | 0.224567i | −0.00151873 | − | 0.0209410i | ||||
\(116\) | −4.92985 | − | 6.17098i | −0.457725 | − | 0.572961i | ||||
\(117\) | −10.9111 | + | 6.16374i | −1.00873 | + | 0.569838i | ||||
\(118\) | −11.1637 | + | 3.91170i | −1.02770 | + | 0.360102i | ||||
\(119\) | −1.29624 | − | 2.24515i | −0.118826 | − | 0.205813i | ||||
\(120\) | −6.39082 | + | 8.89705i | −0.583399 | + | 0.812186i | ||||
\(121\) | 5.49407 | − | 9.51601i | 0.499461 | − | 0.865092i | ||||
\(122\) | 2.24238 | − | 11.8791i | 0.203015 | − | 1.07549i | ||||
\(123\) | 13.4826 | + | 5.65896i | 1.21569 | + | 0.510252i | ||||
\(124\) | 17.6198 | + | 6.89783i | 1.58230 | + | 0.619444i | ||||
\(125\) | −6.01637 | + | 9.42355i | −0.538121 | + | 0.842868i | ||||
\(126\) | −8.49243 | − | 7.44175i | −0.756566 | − | 0.662964i | ||||
\(127\) | −11.6096 | − | 11.6096i | −1.03019 | − | 1.03019i | −0.999530 | − | 0.0306566i | \(-0.990240\pi\) |
−0.0306566 | − | 0.999530i | \(-0.509760\pi\) | |||||||
\(128\) | −10.9369 | − | 2.89540i | −0.966698 | − | 0.255920i | ||||
\(129\) | −0.491897 | + | 3.60550i | −0.0433091 | + | 0.317447i | ||||
\(130\) | −10.6129 | − | 7.86509i | −0.930814 | − | 0.689814i | ||||
\(131\) | 6.44369 | − | 11.1608i | 0.562988 | − | 0.975123i | −0.434246 | − | 0.900794i | \(-0.642985\pi\) |
0.997234 | − | 0.0743288i | \(-0.0236814\pi\) | |||||||
\(132\) | −0.262762 | + | 0.270693i | −0.0228705 | + | 0.0235608i | ||||
\(133\) | 3.94553 | − | 14.7249i | 0.342121 | − | 1.27681i | ||||
\(134\) | −4.27956 | − | 2.05867i | −0.369697 | − | 0.177842i | ||||
\(135\) | 2.18543 | + | 11.4116i | 0.188092 | + | 0.982151i | ||||
\(136\) | −2.68525 | + | 0.616523i | −0.230258 | + | 0.0528664i | ||||
\(137\) | 13.2225 | + | 3.54296i | 1.12967 | + | 0.302695i | 0.774792 | − | 0.632216i | \(-0.217854\pi\) |
0.354882 | + | 0.934911i | \(0.384521\pi\) | |||||||
\(138\) | 0.0780932 | − | 0.233958i | 0.00664773 | − | 0.0199158i | ||||
\(139\) | −6.19431 | + | 10.7289i | −0.525394 | + | 0.910010i | 0.474168 | + | 0.880434i | \(0.342749\pi\) |
−0.999563 | + | 0.0295754i | \(0.990584\pi\) | |||||||
\(140\) | 3.52587 | − | 11.3682i | 0.297991 | − | 0.960789i | ||||
\(141\) | 12.7931 | + | 1.74536i | 1.07738 | + | 0.146986i | ||||
\(142\) | 1.97567 | + | 1.69873i | 0.165795 | + | 0.142554i | ||||
\(143\) | −0.321673 | − | 0.321673i | −0.0268997 | − | 0.0268997i | ||||
\(144\) | −10.2094 | + | 6.30626i | −0.850780 | + | 0.525521i | ||||
\(145\) | −2.89655 | − | 8.34210i | −0.240545 | − | 0.692774i | ||||
\(146\) | 1.52440 | + | 20.2254i | 0.126160 | + | 1.67387i | ||||
\(147\) | 0.133188 | + | 0.0559020i | 0.0109852 | + | 0.00461072i | ||||
\(148\) | 6.00952 | + | 4.42728i | 0.493980 | + | 0.363920i | ||||
\(149\) | 7.79019 | + | 4.49767i | 0.638198 | + | 0.368464i | 0.783920 | − | 0.620862i | \(-0.213217\pi\) |
−0.145722 | + | 0.989326i | \(0.546551\pi\) | |||||||
\(150\) | −10.0524 | + | 6.99637i | −0.820775 | + | 0.571251i | ||||
\(151\) | 2.51689 | + | 4.35938i | 0.204822 | + | 0.354762i | 0.950076 | − | 0.312019i | \(-0.101005\pi\) |
−0.745254 | + | 0.666780i | \(0.767672\pi\) | |||||||
\(152\) | −13.7286 | − | 8.60164i | −1.11354 | − | 0.697685i | ||||
\(153\) | −1.48481 | + | 2.51691i | −0.120039 | + | 0.203480i | ||||
\(154\) | 0.177690 | − | 0.369382i | 0.0143187 | − | 0.0297656i | ||||
\(155\) | 16.0019 | + | 13.8378i | 1.28530 | + | 1.11148i | ||||
\(156\) | −7.42067 | − | 12.4228i | −0.594129 | − | 0.994620i | ||||
\(157\) | 5.20827 | + | 19.4375i | 0.415665 | + | 1.55128i | 0.783499 | + | 0.621392i | \(0.213433\pi\) |
−0.367834 | + | 0.929891i | \(0.619901\pi\) | |||||||
\(158\) | 0.850816 | − | 4.50724i | 0.0676872 | − | 0.358577i | ||||
\(159\) | 14.3077 | − | 18.4661i | 1.13467 | − | 1.46445i | ||||
\(160\) | −10.4493 | − | 7.12821i | −0.826093 | − | 0.563534i | ||||
\(161\) | 0.267991i | 0.0211207i | ||||||||
\(162\) | −2.59524 | + | 12.4605i | −0.203901 | + | 0.978991i | ||||
\(163\) | −17.1770 | − | 17.1770i | −1.34541 | − | 1.34541i | −0.890581 | − | 0.454825i | \(-0.849702\pi\) |
−0.454825 | − | 0.890581i | \(-0.650298\pi\) | |||||||
\(164\) | −6.15500 | + | 15.7223i | −0.480624 | + | 1.22770i | ||||
\(165\) | −0.377861 | + | 0.187401i | −0.0294165 | + | 0.0145892i | ||||
\(166\) | −10.8767 | + | 7.42243i | −0.844195 | + | 0.576093i | ||||
\(167\) | −1.56146 | − | 5.82746i | −0.120830 | − | 0.450942i | 0.878827 | − | 0.477140i | \(-0.158327\pi\) |
−0.999657 | + | 0.0261980i | \(0.991660\pi\) | |||||||
\(168\) | 8.35270 | − | 10.0117i | 0.644425 | − | 0.772419i | ||||
\(169\) | 3.85326 | − | 2.22468i | 0.296405 | − | 0.171129i | ||||
\(170\) | −3.06026 | − | 0.350926i | −0.234711 | − | 0.0269148i | ||||
\(171\) | −16.6389 | + | 4.29143i | −1.27241 | + | 0.328174i | ||||
\(172\) | −4.17583 | − | 0.466878i | −0.318404 | − | 0.0355991i | ||||
\(173\) | −13.3028 | − | 3.56446i | −1.01139 | − | 0.271001i | −0.285180 | − | 0.958474i | \(-0.592053\pi\) |
−0.726210 | + | 0.687473i | \(0.758720\pi\) | |||||||
\(174\) | 0.583576 | − | 9.65589i | 0.0442408 | − | 0.732011i | ||||
\(175\) | 7.95351 | − | 10.6690i | 0.601229 | − | 0.806497i | ||||
\(176\) | −0.319834 | − | 0.295744i | −0.0241084 | − | 0.0222925i | ||||
\(177\) | −13.3587 | − | 5.60695i | −1.00410 | − | 0.421444i | ||||
\(178\) | 6.16618 | − | 7.17145i | 0.462175 | − | 0.537523i | ||||
\(179\) | − | 13.7083i | − | 1.02461i | −0.858805 | − | 0.512303i | \(-0.828792\pi\) | ||
0.858805 | − | 0.512303i | \(-0.171208\pi\) | |||||||
\(180\) | −13.1119 | + | 2.84229i | −0.977302 | + | 0.211852i | ||||
\(181\) | 11.5140i | 0.855827i | 0.903820 | + | 0.427913i | \(0.140751\pi\) | ||||
−0.903820 | + | 0.427913i | \(0.859249\pi\) | |||||||
\(182\) | 11.9217 | + | 10.2506i | 0.883696 | + | 0.759823i | ||||
\(183\) | 11.7884 | − | 8.95801i | 0.871426 | − | 0.662195i | ||||
\(184\) | 0.272258 | + | 0.0835973i | 0.0200711 | + | 0.00616287i | ||||
\(185\) | 4.68449 | + | 6.90648i | 0.344411 | + | 0.507774i | ||||
\(186\) | 10.3554 | + | 20.7321i | 0.759293 | + | 1.52015i | ||||
\(187\) | −0.102466 | − | 0.0274556i | −0.00749303 | − | 0.00200775i | ||||
\(188\) | −1.65659 | + | 14.8168i | −0.120819 | + | 1.08062i | ||||
\(189\) | −1.61190 | − | 13.7351i | −0.117249 | − | 0.999083i | ||||
\(190\) | −11.2653 | − | 14.1835i | −0.817267 | − | 1.02898i | ||||
\(191\) | 6.40397 | − | 3.69733i | 0.463375 | − | 0.267530i | −0.250087 | − | 0.968223i | \(-0.580459\pi\) |
0.713462 | + | 0.700694i | \(0.247126\pi\) | |||||||
\(192\) | −7.56554 | − | 11.6087i | −0.545996 | − | 0.837788i | ||||
\(193\) | −1.83495 | − | 6.84812i | −0.132082 | − | 0.492938i | 0.867910 | − | 0.496721i | \(-0.165463\pi\) |
−0.999993 | + | 0.00378245i | \(0.998796\pi\) | |||||||
\(194\) | −6.08743 | − | 8.92041i | −0.437052 | − | 0.640448i | ||||
\(195\) | −3.19202 | − | 15.8604i | −0.228585 | − | 1.13578i | ||||
\(196\) | −0.0608020 | + | 0.155312i | −0.00434300 | + | 0.0110937i | ||||
\(197\) | −2.76708 | − | 2.76708i | −0.197146 | − | 0.197146i | 0.601629 | − | 0.798776i | \(-0.294519\pi\) |
−0.798776 | + | 0.601629i | \(0.794519\pi\) | |||||||
\(198\) | −0.461036 | + | 0.0304000i | −0.0327644 | + | 0.00216044i | ||||
\(199\) | 6.88331i | 0.487945i | 0.969782 | + | 0.243972i | \(0.0784506\pi\) | ||||
−0.969782 | + | 0.243972i | \(0.921549\pi\) | |||||||
\(200\) | −8.35779 | − | 11.4082i | −0.590985 | − | 0.806682i | ||||
\(201\) | −2.20055 | − | 5.38392i | −0.155215 | − | 0.379753i | ||||
\(202\) | 3.73405 | + | 0.704863i | 0.262727 | + | 0.0495940i | ||||
\(203\) | 2.72035 | + | 10.1525i | 0.190931 | + | 0.712566i | ||||
\(204\) | −2.94699 | − | 1.64353i | −0.206331 | − | 0.115070i | ||||
\(205\) | −12.3476 | + | 14.2786i | −0.862394 | + | 0.997264i | ||||
\(206\) | 6.54672 | + | 3.14928i | 0.456132 | + | 0.219421i | ||||
\(207\) | 0.263015 | − | 0.148578i | 0.0182808 | − | 0.0103269i | ||||
\(208\) | 14.1326 | − | 8.91395i | 0.979922 | − | 0.618071i | ||||
\(209\) | −0.311888 | − | 0.540206i | −0.0215738 | − | 0.0373668i | ||||
\(210\) | 12.5358 | − | 7.44011i | 0.865053 | − | 0.513416i | ||||
\(211\) | −2.22996 | − | 1.28747i | −0.153517 | − | 0.0886328i | 0.421274 | − | 0.906933i | \(-0.361583\pi\) |
−0.574790 | + | 0.818301i | \(0.694916\pi\) | |||||||
\(212\) | 21.7171 | + | 15.9992i | 1.49154 | + | 1.09883i | ||||
\(213\) | 0.401677 | + | 3.16577i | 0.0275225 | + | 0.216915i | ||||
\(214\) | 16.4996 | − | 1.24359i | 1.12789 | − | 0.0850098i | ||||
\(215\) | −4.22767 | − | 2.04846i | −0.288324 | − | 0.139704i | ||||
\(216\) | −14.4566 | − | 2.64697i | −0.983648 | − | 0.180103i | ||||
\(217\) | −17.8049 | − | 17.8049i | −1.20868 | − | 1.20868i | ||||
\(218\) | −16.0581 | + | 18.6760i | −1.08759 | + | 1.26490i | ||||
\(219\) | −15.2147 | + | 19.6367i | −1.02811 | + | 1.32692i | ||||
\(220\) | −0.226908 | − | 0.430941i | −0.0152981 | − | 0.0290541i | ||||
\(221\) | 2.03448 | − | 3.52383i | 0.136854 | − | 0.237038i | ||||
\(222\) | 1.82906 | + | 8.95697i | 0.122758 | + | 0.601152i | ||||
\(223\) | −14.0398 | − | 3.76196i | −0.940177 | − | 0.251920i | −0.243988 | − | 0.969778i | \(-0.578456\pi\) |
−0.696189 | + | 0.717859i | \(0.745122\pi\) | |||||||
\(224\) | 11.7910 | + | 9.36172i | 0.787817 | + | 0.625506i | ||||
\(225\) | −14.8804 | − | 1.89080i | −0.992023 | − | 0.126053i | ||||
\(226\) | −7.18598 | + | 14.9382i | −0.478004 | + | 0.993676i | ||||
\(227\) | −4.48454 | + | 16.7365i | −0.297649 | + | 1.11084i | 0.641441 | + | 0.767172i | \(0.278337\pi\) |
−0.939091 | + | 0.343670i | \(0.888330\pi\) | |||||||
\(228\) | −5.41972 | − | 19.0872i | −0.358930 | − | 1.26408i | ||||
\(229\) | 7.39428 | − | 12.8073i | 0.488628 | − | 0.846328i | −0.511287 | − | 0.859410i | \(-0.670831\pi\) |
0.999914 | + | 0.0130823i | \(0.00416435\pi\) | |||||||
\(230\) | 0.255826 | + | 0.189589i | 0.0168687 | + | 0.0125012i | ||||
\(231\) | 0.464703 | − | 0.189936i | 0.0305752 | − | 0.0124969i | ||||
\(232\) | 11.1627 | + | 0.403307i | 0.732869 | + | 0.0264784i | ||||
\(233\) | −10.0011 | − | 10.0011i | −0.655196 | − | 0.655196i | 0.299043 | − | 0.954240i | \(-0.403333\pi\) |
−0.954240 | + | 0.299043i | \(0.903333\pi\) | |||||||
\(234\) | 3.45066 | − | 17.3834i | 0.225577 | − | 1.13639i | ||||
\(235\) | −7.26841 | + | 15.0007i | −0.474139 | + | 0.978538i | ||||
\(236\) | 6.09842 | − | 15.5778i | 0.396973 | − | 1.01403i | ||||
\(237\) | 4.47283 | − | 3.39889i | 0.290541 | − | 0.220782i | ||||
\(238\) | 3.60269 | + | 0.680067i | 0.233528 | + | 0.0440822i | ||||
\(239\) | −13.0059 | + | 22.5268i | −0.841280 | + | 1.45714i | 0.0475327 | + | 0.998870i | \(0.484864\pi\) |
−0.888813 | + | 0.458270i | \(0.848469\pi\) | |||||||
\(240\) | −3.64814 | − | 15.0563i | −0.235486 | − | 0.971878i | ||||
\(241\) | 9.83165 | + | 17.0289i | 0.633312 | + | 1.09693i | 0.986870 | + | 0.161516i | \(0.0516384\pi\) |
−0.353558 | + | 0.935413i | \(0.615028\pi\) | |||||||
\(242\) | 5.13868 | + | 14.6653i | 0.330327 | + | 0.942724i | ||||
\(243\) | −12.5864 | + | 9.19690i | −0.807417 | + | 0.589981i | ||||
\(244\) | 10.6708 | + | 13.3573i | 0.683130 | + | 0.855113i | ||||
\(245\) | −0.121976 | + | 0.141051i | −0.00779273 | + | 0.00901144i | ||||
\(246\) | −18.4995 | + | 9.24019i | −1.17948 | + | 0.589133i | ||||
\(247\) | 23.1112 | − | 6.19262i | 1.47053 | − | 0.394027i | ||||
\(248\) | −23.6424 | + | 12.5343i | −1.50130 | + | 0.795930i | ||||
\(249\) | −15.9794 | − | 2.18005i | −1.01265 | − | 0.138155i | ||||
\(250\) | −4.55797 | − | 15.1402i | −0.288271 | − | 0.957549i | ||||
\(251\) | 12.7535 | 0.804995 | 0.402498 | − | 0.915421i | \(-0.368142\pi\) | ||||
0.402498 | + | 0.915421i | \(0.368142\pi\) | |||||||
\(252\) | 15.8102 | − | 2.24528i | 0.995946 | − | 0.141439i | ||||
\(253\) | 0.00775399 | + | 0.00775399i | 0.000487489 | + | 0.000487489i | ||||
\(254\) | 23.1536 | − | 1.74510i | 1.45278 | − | 0.109497i | ||||
\(255\) | −2.49383 | − | 2.83077i | −0.156170 | − | 0.177270i | ||||
\(256\) | 13.1888 | − | 9.05839i | 0.824302 | − | 0.566150i | ||||
\(257\) | 2.06398 | + | 7.70287i | 0.128747 | + | 0.480492i | 0.999946 | − | 0.0104398i | \(-0.00332314\pi\) |
−0.871198 | + | 0.490932i | \(0.836656\pi\) | |||||||
\(258\) | −3.41275 | − | 3.85180i | −0.212469 | − | 0.239803i | ||||
\(259\) | −4.96646 | − | 8.60217i | −0.308601 | − | 0.534513i | ||||
\(260\) | 18.2192 | − | 4.12881i | 1.12991 | − | 0.256058i | ||||
\(261\) | 8.45576 | − | 8.29851i | 0.523398 | − | 0.513665i | ||||
\(262\) | 6.02687 | + | 17.2002i | 0.372341 | + | 1.06263i | ||||
\(263\) | 5.75208 | − | 21.4670i | 0.354688 | − | 1.32371i | −0.526188 | − | 0.850368i | \(-0.676379\pi\) |
0.880876 | − | 0.473346i | \(-0.156954\pi\) | |||||||
\(264\) | −0.0480009 | − | 0.531350i | −0.00295425 | − | 0.0327023i | ||||
\(265\) | 16.9287 | + | 24.9585i | 1.03992 | + | 1.53319i | ||||
\(266\) | 12.1521 | + | 17.8075i | 0.745095 | + | 1.09185i | ||||
\(267\) | 11.4914 | − | 1.45804i | 0.703260 | − | 0.0892307i | ||||
\(268\) | 6.15338 | − | 2.69097i | 0.375878 | − | 0.164377i | ||||
\(269\) | − | 7.76468i | − | 0.473421i | −0.971580 | − | 0.236710i | \(-0.923931\pi\) | ||
0.971580 | − | 0.236710i | \(-0.0760692\pi\) | |||||||
\(270\) | −14.2520 | − | 8.17812i | −0.867347 | − | 0.497705i | ||||
\(271\) | −8.71891 | −0.529636 | −0.264818 | − | 0.964298i | \(-0.585312\pi\) | ||||
−0.264818 | + | 0.964298i | \(0.585312\pi\) | |||||||
\(272\) | 1.81472 | − | 3.44791i | 0.110034 | − | 0.209060i | ||||
\(273\) | 2.42383 | + | 19.1031i | 0.146697 | + | 1.15617i | ||||
\(274\) | −15.9905 | + | 10.9122i | −0.966024 | + | 0.659231i | ||||
\(275\) | −0.0785679 | − | 0.538817i | −0.00473782 | − | 0.0324919i | ||||
\(276\) | 0.178877 | + | 0.299454i | 0.0107671 | + | 0.0180250i | ||||
\(277\) | 3.04022 | + | 0.814623i | 0.182669 | + | 0.0489460i | 0.348994 | − | 0.937125i | \(-0.386523\pi\) |
−0.166325 | + | 0.986071i | \(0.553190\pi\) | |||||||
\(278\) | −5.79362 | − | 16.5345i | −0.347479 | − | 0.991673i | ||||
\(279\) | −7.60298 | + | 27.3455i | −0.455179 | + | 1.63713i | ||||
\(280\) | 8.93955 | + | 14.2625i | 0.534240 | + | 0.852350i | ||||
\(281\) | −19.8081 | + | 11.4362i | −1.18165 | + | 0.682228i | −0.956396 | − | 0.292071i | \(-0.905655\pi\) |
−0.225257 | + | 0.974299i | \(0.572322\pi\) | |||||||
\(282\) | −13.6671 | + | 12.1092i | −0.813861 | + | 0.721093i | ||||
\(283\) | 3.52144 | − | 0.943567i | 0.209328 | − | 0.0560892i | −0.152631 | − | 0.988283i | \(-0.548775\pi\) |
0.361959 | + | 0.932194i | \(0.382108\pi\) | |||||||
\(284\) | −3.64319 | + | 0.552317i | −0.216184 | + | 0.0327740i | ||||
\(285\) | 1.40096 | − | 22.1394i | 0.0829859 | − | 1.31143i | ||||
\(286\) | 0.641527 | − | 0.0483523i | 0.0379343 | − | 0.00285913i | ||||
\(287\) | 15.8875 | − | 15.8875i | 0.937808 | − | 0.937808i | ||||
\(288\) | 2.65080 | − | 16.7623i | 0.156200 | − | 0.987726i | ||||
\(289\) | 16.0512i | 0.944186i | ||||||||
\(290\) | 11.6161 | + | 4.58548i | 0.682123 | + | 0.269269i | ||||
\(291\) | 1.78795 | − | 13.1053i | 0.104811 | − | 0.768247i | ||||
\(292\) | −23.0938 | − | 17.0135i | −1.35146 | − | 0.995637i | ||||
\(293\) | −0.466244 | − | 1.74005i | −0.0272383 | − | 0.101655i | 0.950968 | − | 0.309288i | \(-0.100091\pi\) |
−0.978207 | + | 0.207633i | \(0.933424\pi\) | |||||||
\(294\) | −0.182747 | + | 0.0912791i | −0.0106580 | + | 0.00532350i | ||||
\(295\) | 12.2341 | − | 14.1474i | 0.712297 | − | 0.823693i | ||||
\(296\) | −10.2884 | + | 2.36217i | −0.597999 | + | 0.137299i | ||||
\(297\) | −0.444047 | − | 0.350770i | −0.0257662 | − | 0.0203537i | ||||
\(298\) | −12.0057 | + | 4.20674i | −0.695469 | + | 0.243690i | ||||
\(299\) | −0.364267 | + | 0.210310i | −0.0210661 | + | 0.0121625i | ||||
\(300\) | 1.76604 | − | 17.2302i | 0.101962 | − | 0.994788i | ||||
\(301\) | 4.84241 | + | 2.79576i | 0.279112 | + | 0.161145i | ||||
\(302\) | −6.99531 | − | 1.32048i | −0.402535 | − | 0.0759850i | ||||
\(303\) | 2.81583 | + | 3.70554i | 0.161765 | + | 0.212878i | ||||
\(304\) | 21.8817 | − | 6.79073i | 1.25500 | − | 0.389475i | ||||
\(305\) | 6.26968 | + | 18.0567i | 0.359001 | + | 1.03393i | ||||
\(306\) | −1.32994 | − | 3.91283i | −0.0760278 | − | 0.223681i | ||||
\(307\) | 23.2586 | − | 23.2586i | 1.32744 | − | 1.32744i | 0.419836 | − | 0.907600i | \(-0.362088\pi\) |
0.907600 | − | 0.419836i | \(-0.137912\pi\) | |||||||
\(308\) | 0.232266 | + | 0.531117i | 0.0132346 | + | 0.0302632i | ||||
\(309\) | 3.36633 | + | 8.23614i | 0.191504 | + | 0.468538i | ||||
\(310\) | −29.5927 | + | 4.40066i | −1.68075 | + | 0.249941i | ||||
\(311\) | −2.07909 | − | 1.20036i | −0.117894 | − | 0.0680664i | 0.439893 | − | 0.898050i | \(-0.355016\pi\) |
−0.557788 | + | 0.829984i | \(0.688350\pi\) | |||||||
\(312\) | 20.1633 | + | 3.49660i | 1.14152 | + | 0.197956i | ||||
\(313\) | 2.75526 | + | 0.738270i | 0.155737 | + | 0.0417295i | 0.335845 | − | 0.941917i | \(-0.390978\pi\) |
−0.180108 | + | 0.983647i | \(0.557645\pi\) | |||||||
\(314\) | −25.6455 | − | 12.3367i | −1.44726 | − | 0.696200i | ||||
\(315\) | 17.5021 | + | 3.52575i | 0.986129 | + | 0.198653i | ||||
\(316\) | 4.04878 | + | 5.06810i | 0.227762 | + | 0.285103i | ||||
\(317\) | −6.01334 | + | 22.4421i | −0.337743 | + | 1.26047i | 0.563122 | + | 0.826374i | \(0.309600\pi\) |
−0.900865 | + | 0.434099i | \(0.857067\pi\) | |||||||
\(318\) | 6.60982 | + | 32.3685i | 0.370660 | + | 1.81514i | ||||
\(319\) | 0.372460 | + | 0.215040i | 0.0208537 | + | 0.0120399i | ||||
\(320\) | 17.2782 | − | 4.63282i | 0.965882 | − | 0.258982i | ||||
\(321\) | 16.0193 | + | 12.4119i | 0.894112 | + | 0.692767i | ||||
\(322\) | −0.287375 | − | 0.247092i | −0.0160148 | − | 0.0137699i | ||||
\(323\) | 3.94519 | − | 3.94519i | 0.219516 | − | 0.219516i | ||||
\(324\) | −10.9689 | − | 14.2717i | −0.609385 | − | 0.792874i | ||||
\(325\) | 20.7434 | + | 2.43821i | 1.15064 | + | 0.135247i | ||||
\(326\) | 34.2568 | − | 2.58196i | 1.89731 | − | 0.143001i | ||||
\(327\) | −29.9260 | + | 3.79706i | −1.65491 | + | 0.209978i | ||||
\(328\) | −11.1845 | − | 21.0964i | −0.617559 | − | 1.16485i | ||||
\(329\) | 9.92000 | − | 17.1819i | 0.546907 | − | 0.947271i | ||||
\(330\) | 0.147438 | − | 0.577978i | 0.00811619 | − | 0.0318166i | ||||
\(331\) | −23.6933 | + | 13.6793i | −1.30230 | + | 0.751883i | −0.980798 | − | 0.195026i | \(-0.937521\pi\) |
−0.321501 | + | 0.946909i | \(0.604187\pi\) | |||||||
\(332\) | 2.06917 | − | 18.5070i | 0.113561 | − | 1.01570i | ||||
\(333\) | −5.68895 | + | 9.64339i | −0.311752 | + | 0.528454i | ||||
\(334\) | 7.68864 | + | 3.69860i | 0.420704 | + | 0.202378i | ||||
\(335\) | 7.48911 | − | 0.543142i | 0.409174 | − | 0.0296750i | ||||
\(336\) | 3.03452 | + | 18.1878i | 0.165547 | + | 0.992224i | ||||
\(337\) | 0.361233 | − | 0.0967920i | 0.0196776 | − | 0.00527260i | −0.248967 | − | 0.968512i | \(-0.580091\pi\) |
0.268644 | + | 0.963239i | \(0.413424\pi\) | |||||||
\(338\) | −1.16717 | + | 6.18315i | −0.0634857 | + | 0.336319i | ||||
\(339\) | −18.7931 | + | 7.68125i | −1.02070 | + | 0.417188i | ||||
\(340\) | 3.19791 | − | 2.95804i | 0.173431 | − | 0.160422i | ||||
\(341\) | −1.03032 | −0.0557952 | ||||||||
\(342\) | 10.7395 | − | 21.7992i | 0.580726 | − | 1.17876i | ||||
\(343\) | −13.0166 | + | 13.0166i | −0.702832 | + | 0.702832i | ||||
\(344\) | 4.35082 | − | 4.04739i | 0.234580 | − | 0.218221i | ||||
\(345\) | 0.0769442 | + | 0.382317i | 0.00414254 | + | 0.0205833i | ||||
\(346\) | 16.0876 | − | 10.9785i | 0.864875 | − | 0.590205i | ||||
\(347\) | 0.163977 | − | 0.0439375i | 0.00880274 | − | 0.00235869i | −0.254415 | − | 0.967095i | \(-0.581883\pi\) |
0.263218 | + | 0.964736i | \(0.415216\pi\) | |||||||
\(348\) | 9.81623 | + | 9.52865i | 0.526205 | + | 0.510789i | ||||
\(349\) | 2.62257 | + | 4.54242i | 0.140383 | + | 0.243150i | 0.927641 | − | 0.373474i | \(-0.121833\pi\) |
−0.787258 | + | 0.616624i | \(0.788500\pi\) | |||||||
\(350\) | 4.10738 | + | 18.3657i | 0.219549 | + | 0.981688i | ||||
\(351\) | 17.4045 | − | 12.9698i | 0.928984 | − | 0.692277i | ||||
\(352\) | 0.612026 | − | 0.0702873i | 0.0326211 | − | 0.00374633i | ||||
\(353\) | −7.03634 | + | 26.2600i | −0.374506 | + | 1.39768i | 0.479558 | + | 0.877510i | \(0.340797\pi\) |
−0.854065 | + | 0.520167i | \(0.825870\pi\) | |||||||
\(354\) | 18.3294 | − | 9.15525i | 0.974197 | − | 0.486596i | ||||
\(355\) | −4.04608 | − | 0.775633i | −0.214744 | − | 0.0411663i | ||||
\(356\) | 2.00485 | + | 13.2244i | 0.106257 | + | 0.700889i | ||||
\(357\) | 2.71678 | + | 3.57519i | 0.143787 | + | 0.189219i | ||||
\(358\) | 14.6998 | + | 12.6392i | 0.776909 | + | 0.668005i | ||||
\(359\) | 25.3530 | 1.33808 | 0.669041 | − | 0.743225i | \(-0.266705\pi\) | ||||
0.669041 | + | 0.743225i | \(0.266705\pi\) | |||||||
\(360\) | 9.04147 | − | 16.6809i | 0.476527 | − | 0.879160i | ||||
\(361\) | 13.8078 | 0.726726 | ||||||||
\(362\) | −12.3468 | − | 10.6160i | −0.648932 | − | 0.557967i | ||||
\(363\) | −7.36567 | + | 17.5489i | −0.386597 | + | 0.921079i | ||||
\(364\) | −21.9840 | + | 3.33283i | −1.15227 | + | 0.174688i | ||||
\(365\) | −18.0019 | − | 26.5407i | −0.942263 | − | 1.38920i | ||||
\(366\) | −1.26317 | + | 20.9005i | −0.0660269 | + | 1.09249i | ||||
\(367\) | −2.74945 | + | 10.2611i | −0.143520 | + | 0.535625i | 0.856296 | + | 0.516485i | \(0.172760\pi\) |
−0.999817 | + | 0.0191406i | \(0.993907\pi\) | |||||||
\(368\) | −0.340669 | + | 0.214872i | −0.0177586 | + | 0.0112010i | ||||
\(369\) | −24.4006 | − | 6.78421i | −1.27025 | − | 0.353172i | ||||
\(370\) | −11.7252 | − | 1.34455i | −0.609563 | − | 0.0699000i | ||||
\(371\) | −17.9477 | − | 31.0864i | −0.931799 | − | 1.61392i | ||||
\(372\) | −31.7795 | − | 8.01096i | −1.64769 | − | 0.415349i | ||||
\(373\) | 0.585374 | − | 0.156850i | 0.0303095 | − | 0.00812141i | −0.243632 | − | 0.969868i | \(-0.578339\pi\) |
0.273942 | + | 0.961746i | \(0.411672\pi\) | |||||||
\(374\) | 0.123916 | − | 0.0845625i | 0.00640756 | − | 0.00437262i | ||||
\(375\) | 8.28328 | − | 17.5039i | 0.427747 | − | 0.903899i | ||||
\(376\) | −14.3611 | − | 15.4377i | −0.740615 | − | 0.796137i | ||||
\(377\) | −11.6650 | + | 11.6650i | −0.600776 | + | 0.600776i | ||||
\(378\) | 16.2148 | + | 10.9355i | 0.833997 | + | 0.562461i | ||||
\(379\) | 15.4427 | 0.793238 | 0.396619 | − | 0.917983i | \(-0.370183\pi\) | ||||
0.396619 | + | 0.917983i | \(0.370183\pi\) | |||||||
\(380\) | 25.5961 | + | 0.997348i | 1.31305 | + | 0.0511629i | ||||
\(381\) | 22.4796 | + | 17.4174i | 1.15166 | + | 0.892321i | ||||
\(382\) | −1.93979 | + | 10.2762i | −0.0992484 | + | 0.525774i | ||||
\(383\) | 24.6134 | − | 6.59514i | 1.25769 | − | 0.336996i | 0.432385 | − | 0.901689i | \(-0.357672\pi\) |
0.825301 | + | 0.564693i | \(0.191006\pi\) | |||||||
\(384\) | 19.4239 | + | 2.59066i | 0.991223 | + | 0.132204i | ||||
\(385\) | 0.0468802 | + | 0.646408i | 0.00238924 | + | 0.0329440i | ||||
\(386\) | 9.03528 | + | 4.34639i | 0.459884 | + | 0.221226i | ||||
\(387\) | 0.0591517 | − | 6.30249i | 0.00300685 | − | 0.320373i | ||||
\(388\) | 15.1783 | + | 1.69701i | 0.770562 | + | 0.0861527i | ||||
\(389\) | 8.55882 | − | 4.94144i | 0.433950 | − | 0.250541i | −0.267078 | − | 0.963675i | \(-0.586058\pi\) |
0.701028 | + | 0.713134i | \(0.252725\pi\) | |||||||
\(390\) | 19.9506 | + | 11.2006i | 1.01024 | + | 0.567164i | ||||
\(391\) | −0.0490416 | + | 0.0849425i | −0.00248014 | + | 0.00429573i | ||||
\(392\) | −0.110486 | − | 0.208400i | −0.00558037 | − | 0.0105258i | ||||
\(393\) | −8.63878 | + | 20.5821i | −0.435769 | + | 1.03823i | ||||
\(394\) | 5.51851 | − | 0.415934i | 0.278019 | − | 0.0209544i | ||||
\(395\) | 2.37887 | + | 6.85119i | 0.119694 | + | 0.344721i | ||||
\(396\) | 0.392482 | − | 0.522411i | 0.0197230 | − | 0.0262521i | ||||
\(397\) | 5.36635 | − | 5.36635i | 0.269329 | − | 0.269329i | −0.559501 | − | 0.828830i | \(-0.689007\pi\) |
0.828830 | + | 0.559501i | \(0.189007\pi\) | |||||||
\(398\) | −7.38117 | − | 6.34651i | −0.369985 | − | 0.318122i | ||||
\(399\) | −3.56922 | + | 26.1617i | −0.178684 | + | 1.30972i | ||||
\(400\) | 19.9394 | + | 1.55623i | 0.996968 | + | 0.0778115i | ||||
\(401\) | −6.90919 | − | 3.98902i | −0.345029 | − | 0.199202i | 0.317465 | − | 0.948270i | \(-0.397168\pi\) |
−0.662493 | + | 0.749068i | \(0.730502\pi\) | |||||||
\(402\) | 7.80228 | + | 2.60434i | 0.389142 | + | 0.129893i | ||||
\(403\) | 10.2287 | − | 38.1740i | 0.509527 | − | 1.90158i | ||||
\(404\) | −4.19869 | + | 3.35424i | −0.208893 | + | 0.166879i | ||||
\(405\) | −6.24310 | − | 19.1317i | −0.310222 | − | 0.950664i | ||||
\(406\) | −13.3950 | − | 6.44363i | −0.664784 | − | 0.319792i | ||||
\(407\) | −0.392591 | − | 0.105194i | −0.0194600 | − | 0.00521430i | ||||
\(408\) | 4.47958 | − | 1.64479i | 0.221772 | − | 0.0814291i | ||||
\(409\) | −15.9719 | − | 9.22137i | −0.789758 | − | 0.455967i | 0.0501191 | − | 0.998743i | \(-0.484040\pi\) |
−0.839877 | + | 0.542776i | \(0.817373\pi\) | |||||||
\(410\) | −3.92675 | − | 26.4058i | −0.193928 | − | 1.30409i | ||||
\(411\) | −23.4923 | − | 3.20504i | −1.15879 | − | 0.158093i | ||||
\(412\) | −9.41323 | + | 4.11656i | −0.463757 | + | 0.202808i | ||||
\(413\) | −15.7414 | + | 15.7414i | −0.774585 | + | 0.774585i | ||||
\(414\) | −0.0831787 | + | 0.419029i | −0.00408801 | + | 0.0205942i | ||||
\(415\) | 9.07865 | − | 18.7367i | 0.445654 | − | 0.919750i | ||||
\(416\) | −3.47180 | + | 23.3736i | −0.170219 | + | 1.14599i | ||||
\(417\) | 8.30445 | − | 19.7856i | 0.406671 | − | 0.968904i | ||||
\(418\) | 0.866844 | + | 0.163631i | 0.0423987 | + | 0.00800345i | ||||
\(419\) | −8.67031 | − | 5.00580i | −0.423572 | − | 0.244550i | 0.273032 | − | 0.962005i | \(-0.411973\pi\) |
−0.696604 | + | 0.717455i | \(0.745307\pi\) | |||||||
\(420\) | −3.57995 | + | 20.3024i | −0.174684 | + | 0.990656i | ||||
\(421\) | −7.31916 | + | 4.22572i | −0.356714 | + | 0.205949i | −0.667638 | − | 0.744486i | \(-0.732695\pi\) |
0.310924 | + | 0.950435i | \(0.399361\pi\) | |||||||
\(422\) | 3.43664 | − | 1.20419i | 0.167293 | − | 0.0586188i | ||||
\(423\) | −22.3626 | − | 0.209883i | −1.08731 | − | 0.0102049i | ||||
\(424\) | −37.1799 | + | 8.53638i | −1.80562 | + | 0.414563i | ||||
\(425\) | 4.47333 | − | 1.92616i | 0.216988 | − | 0.0934326i | ||||
\(426\) | −3.76510 | − | 2.48815i | −0.182420 | − | 0.120551i | ||||
\(427\) | −5.88829 | − | 21.9754i | −0.284954 | − | 1.06346i | ||||
\(428\) | −13.8793 | + | 18.8396i | −0.670883 | + | 0.910647i | ||||
\(429\) | 0.622853 | + | 0.482593i | 0.0300716 | + | 0.0232998i | ||||
\(430\) | 6.09460 | − | 2.64474i | 0.293907 | − | 0.127541i | ||||
\(431\) | 15.5945i | 0.751162i | 0.926790 | + | 0.375581i | \(0.122557\pi\) | ||||
−0.926790 | + | 0.375581i | \(0.877443\pi\) | |||||||
\(432\) | 16.1676 | − | 13.0617i | 0.777865 | − | 0.628431i | ||||
\(433\) | −20.6316 | + | 20.6316i | −0.991491 | + | 0.991491i | −0.999964 | − | 0.00847358i | \(-0.997303\pi\) |
0.00847358 | + | 0.999964i | \(0.497303\pi\) | |||||||
\(434\) | 35.5091 | − | 2.67634i | 1.70449 | − | 0.128469i | ||||
\(435\) | 6.79579 | + | 13.7025i | 0.325833 | + | 0.656986i | ||||
\(436\) | −5.22106 | − | 34.4391i | −0.250043 | − | 1.64933i | ||||
\(437\) | −0.557099 | + | 0.149274i | −0.0266497 | + | 0.00714075i | ||||
\(438\) | −7.02883 | − | 34.4205i | −0.335851 | − | 1.64467i | ||||
\(439\) | −11.8433 | + | 6.83772i | −0.565249 | + | 0.326347i | −0.755250 | − | 0.655437i | \(-0.772484\pi\) |
0.190001 | + | 0.981784i | \(0.439151\pi\) | |||||||
\(440\) | 0.671323 | + | 0.154014i | 0.0320041 | + | 0.00734233i | ||||
\(441\) | −0.241041 | − | 0.0670177i | −0.0114782 | − | 0.00319132i | ||||
\(442\) | 1.90288 | + | 5.43066i | 0.0905109 | + | 0.258310i | ||||
\(443\) | −6.68370 | − | 1.79089i | −0.317552 | − | 0.0850879i | 0.0965223 | − | 0.995331i | \(-0.469228\pi\) |
−0.414075 | + | 0.910243i | \(0.635895\pi\) | |||||||
\(444\) | −11.2912 | − | 6.29710i | −0.535858 | − | 0.298847i | ||||
\(445\) | −2.81545 | + | 14.6868i | −0.133465 | + | 0.696221i | ||||
\(446\) | 16.9790 | − | 11.5867i | 0.803978 | − | 0.548648i | ||||
\(447\) | −14.3663 | − | 6.02984i | −0.679501 | − | 0.285202i | ||||
\(448\) | −20.9103 | + | 4.01216i | −0.987918 | + | 0.189557i | ||||
\(449\) | 26.3221 | 1.24222 | 0.621108 | − | 0.783725i | \(-0.286683\pi\) | ||||
0.621108 | + | 0.783725i | \(0.286683\pi\) | |||||||
\(450\) | 15.7475 | − | 14.2133i | 0.742342 | − | 0.670021i | ||||
\(451\) | − | 0.919368i | − | 0.0432913i | ||||||
\(452\) | −9.39311 | − | 21.4790i | −0.441815 | − | 1.01029i | ||||
\(453\) | −5.27513 | − | 6.94189i | −0.247847 | − | 0.326159i | ||||
\(454\) | −13.8123 | − | 20.2402i | −0.648241 | − | 0.949920i | ||||
\(455\) | −24.4151 | − | 4.68037i | −1.14460 | − | 0.219419i | ||||
\(456\) | 25.4648 | + | 11.7869i | 1.19250 | + | 0.551973i | ||||
\(457\) | 3.89998 | − | 14.5549i | 0.182434 | − | 0.680851i | −0.812732 | − | 0.582638i | \(-0.802021\pi\) |
0.995165 | − | 0.0982133i | \(-0.0313128\pi\) | |||||||
\(458\) | 6.91597 | + | 19.7376i | 0.323162 | + | 0.922276i | ||||
\(459\) | 2.00258 | − | 4.64845i | 0.0934722 | − | 0.216971i | ||||
\(460\) | −0.439178 | + | 0.0995257i | −0.0204768 | + | 0.00464041i | ||||
\(461\) | −7.78174 | − | 13.4784i | −0.362432 | − | 0.627750i | 0.625929 | − | 0.779880i | \(-0.284720\pi\) |
−0.988361 | + | 0.152130i | \(0.951387\pi\) | |||||||
\(462\) | −0.224788 | + | 0.673439i | −0.0104581 | + | 0.0313312i | ||||
\(463\) | 6.56341 | + | 24.4950i | 0.305028 | + | 1.13838i | 0.932922 | + | 0.360080i | \(0.117250\pi\) |
−0.627894 | + | 0.778299i | \(0.716083\pi\) | |||||||
\(464\) | −10.7247 | + | 11.5983i | −0.497880 | + | 0.538436i | ||||
\(465\) | −30.5126 | − | 20.2885i | −1.41499 | − | 0.940855i | ||||
\(466\) | 19.9457 | − | 1.50332i | 0.923967 | − | 0.0696400i | ||||
\(467\) | −20.7735 | − | 20.7735i | −0.961283 | − | 0.961283i | 0.0379952 | − | 0.999278i | \(-0.487903\pi\) |
−0.999278 | + | 0.0379952i | \(0.987903\pi\) | |||||||
\(468\) | 15.4591 | + | 19.7280i | 0.714599 | + | 0.911925i | ||||
\(469\) | −8.93728 | −0.412685 | ||||||||
\(470\) | −9.38412 | − | 21.6250i | −0.432857 | − | 0.997486i | ||||
\(471\) | −13.1870 | − | 32.2635i | −0.607623 | − | 1.48662i | ||||
\(472\) | 11.0817 | + | 20.9024i | 0.510075 | + | 0.962112i | ||||
\(473\) | 0.221001 | − | 0.0592170i | 0.0101616 | − | 0.00272280i | ||||
\(474\) | −0.479278 | + | 7.93017i | −0.0220140 | + | 0.364245i | ||||
\(475\) | 26.6088 | + | 10.5910i | 1.22089 | + | 0.485948i | ||||
\(476\) | −4.05099 | + | 3.23624i | −0.185677 | + | 0.148333i | ||||
\(477\) | −20.5586 | + | 34.8491i | −0.941314 | + | 1.59563i | ||||
\(478\) | −12.1646 | − | 34.7166i | −0.556395 | − | 1.58790i | ||||
\(479\) | −17.4406 | − | 30.2080i | −0.796881 | − | 1.38024i | −0.921638 | − | 0.388052i | \(-0.873148\pi\) |
0.124756 | − | 0.992187i | \(-0.460185\pi\) | |||||||
\(480\) | 19.5089 | + | 9.97009i | 0.890456 | + | 0.455070i | ||||
\(481\) | 7.79500 | − | 13.5013i | 0.355422 | − | 0.615608i | ||||
\(482\) | −27.3255 | − | 5.15814i | −1.24464 | − | 0.234947i | ||||
\(483\) | −0.0584267 | − | 0.460483i | −0.00265851 | − | 0.0209527i | ||||
\(484\) | −20.4640 | − | 8.01130i | −0.930183 | − | 0.364150i | ||||
\(485\) | 15.3667 | + | 7.44577i | 0.697768 | + | 0.338095i | ||||
\(486\) | 1.74273 | − | 21.9764i | 0.0790516 | − | 0.996871i | ||||
\(487\) | 15.3590 | + | 15.3590i | 0.695981 | + | 0.695981i | 0.963541 | − | 0.267560i | \(-0.0862174\pi\) |
−0.267560 | + | 0.963541i | \(0.586217\pi\) | |||||||
\(488\) | −24.1621 | − | 0.872972i | −1.09377 | − | 0.0395176i | ||||
\(489\) | 33.2597 | + | 25.7699i | 1.50405 | + | 1.16536i | ||||
\(490\) | −0.0387903 | − | 0.260849i | −0.00175237 | − | 0.0117840i | ||||
\(491\) | −5.89878 | + | 10.2170i | −0.266208 | + | 0.461086i | −0.967880 | − | 0.251415i | \(-0.919104\pi\) |
0.701671 | + | 0.712501i | \(0.252438\pi\) | |||||||
\(492\) | 7.14824 | − | 28.3571i | 0.322268 | − | 1.27844i | ||||
\(493\) | −0.995632 | + | 3.71575i | −0.0448410 | + | 0.167349i | ||||
\(494\) | −14.6683 | + | 30.4925i | −0.659958 | + | 1.37192i | ||||
\(495\) | 0.608413 | − | 0.404387i | 0.0273461 | − | 0.0181758i | ||||
\(496\) | 8.35776 | − | 36.9093i | 0.375274 | − | 1.65728i | ||||
\(497\) | 4.73643 | + | 1.26912i | 0.212458 | + | 0.0569279i | ||||
\(498\) | 17.0709 | − | 15.1251i | 0.764967 | − | 0.677771i | ||||
\(499\) | −13.8498 | + | 23.9886i | −0.620003 | + | 1.07388i | 0.369481 | + | 0.929238i | \(0.379535\pi\) |
−0.989484 | + | 0.144639i | \(0.953798\pi\) | |||||||
\(500\) | 20.4378 | + | 9.07182i | 0.914005 | + | 0.405704i | ||||
\(501\) | 3.95351 | + | 9.67275i | 0.176630 | + | 0.432147i | ||||
\(502\) | −11.7589 | + | 13.6760i | −0.524827 | + | 0.610389i | ||||
\(503\) | −2.56078 | − | 2.56078i | −0.114180 | − | 0.114180i | 0.647709 | − | 0.761888i | \(-0.275727\pi\) |
−0.761888 | + | 0.647709i | \(0.775727\pi\) | |||||||
\(504\) | −12.1695 | + | 19.0239i | −0.542073 | + | 0.847390i | ||||
\(505\) | −5.67590 | + | 1.97079i | −0.252574 | + | 0.0876991i | ||||
\(506\) | −0.0154641 | + | 0.00116554i | −0.000687464 | + | 5.18146e-5i | ||||
\(507\) | −6.13594 | + | 4.66269i | −0.272507 | + | 0.207077i | ||||
\(508\) | −19.4766 | + | 26.4372i | −0.864134 | + | 1.17296i | ||||
\(509\) | −21.4007 | − | 12.3557i | −0.948570 | − | 0.547657i | −0.0559337 | − | 0.998434i | \(-0.517814\pi\) |
−0.892636 | + | 0.450777i | \(0.851147\pi\) | |||||||
\(510\) | 5.33487 | − | 0.0642007i | 0.236232 | − | 0.00284286i | ||||
\(511\) | 19.0855 | + | 33.0570i | 0.844292 | + | 1.46236i | ||||
\(512\) | −2.44672 | + | 22.4947i | −0.108131 | + | 0.994137i | ||||
\(513\) | 27.6546 | − | 11.0014i | 1.22098 | − | 0.485725i | ||||
\(514\) | −10.1630 | − | 4.88889i | −0.448272 | − | 0.215640i | ||||
\(515\) | −11.4566 | + | 0.830880i | −0.504838 | + | 0.0366129i | ||||
\(516\) | 7.27700 | − | 0.108177i | 0.320352 | − | 0.00476224i | ||||
\(517\) | −0.210115 | − | 0.784160i | −0.00924085 | − | 0.0344873i | ||||
\(518\) | 13.8035 | + | 2.60564i | 0.606491 | + | 0.114485i | ||||
\(519\) | 23.6349 | + | 3.22450i | 1.03746 | + | 0.141540i | ||||
\(520\) | −12.3709 | + | 23.3438i | −0.542502 | + | 1.02369i | ||||
\(521\) | − | 2.80066i | − | 0.122699i | −0.998116 | − | 0.0613496i | \(-0.980460\pi\) | ||
0.998116 | − | 0.0613496i | \(-0.0195405\pi\) | |||||||
\(522\) | 1.10241 | + | 16.7187i | 0.0482510 | + | 0.731758i | ||||
\(523\) | 26.8782 | + | 26.8782i | 1.17530 | + | 1.17530i | 0.980927 | + | 0.194377i | \(0.0622684\pi\) |
0.194377 | + | 0.980927i | \(0.437732\pi\) | |||||||
\(524\) | −24.0011 | − | 9.39600i | −1.04849 | − | 0.410466i | ||||
\(525\) | −11.3403 | + | 20.0662i | −0.494931 | + | 0.875761i | ||||
\(526\) | 17.7162 | + | 25.9610i | 0.772465 | + | 1.13196i | ||||
\(527\) | −2.38520 | − | 8.90168i | −0.103901 | − | 0.387763i | ||||
\(528\) | 0.614040 | + | 0.438440i | 0.0267227 | + | 0.0190806i | ||||
\(529\) | −19.9098 | + | 11.4949i | −0.865644 | + | 0.499780i | ||||
\(530\) | −42.3723 | − | 4.85892i | −1.84053 | − | 0.211058i | ||||
\(531\) | 24.1764 | + | 6.72184i | 1.04916 | + | 0.291703i | ||||
\(532\) | −30.2999 | − | 3.38768i | −1.31367 | − | 0.146875i | ||||
\(533\) | 34.0630 | + | 9.12715i | 1.47543 | + | 0.395341i | ||||
\(534\) | −9.03170 | + | 13.6669i | −0.390840 | + | 0.591423i | ||||
\(535\) | −21.6515 | + | 14.6857i | −0.936078 | + | 0.634918i | ||||
\(536\) | −2.78789 | + | 9.07956i | −0.120419 | + | 0.392177i | ||||
\(537\) | 2.98864 | + | 23.5546i | 0.128970 | + | 1.01646i | ||||
\(538\) | 8.32629 | + | 7.15914i | 0.358972 | + | 0.308653i | ||||
\(539\) | − | 0.00908196i | − | 0.000391188i | ||||||
\(540\) | 21.9101 | − | 7.74245i | 0.942863 | − | 0.333182i | ||||
\(541\) | 1.98608i | 0.0853883i | 0.999088 | + | 0.0426942i | \(0.0135941\pi\) | ||||
−0.999088 | + | 0.0426942i | \(0.986406\pi\) | |||||||
\(542\) | 8.03896 | − | 9.34954i | 0.345303 | − | 0.401597i | ||||
\(543\) | −2.51024 | − | 19.7842i | −0.107725 | − | 0.849020i | ||||
\(544\) | 2.02410 | + | 5.12500i | 0.0867825 | + | 0.219733i | ||||
\(545\) | 7.33206 | − | 38.2476i | 0.314071 | − | 1.63835i | ||||
\(546\) | −22.7196 | − | 15.0142i | −0.972308 | − | 0.642547i | ||||
\(547\) | −0.826578 | − | 0.221481i | −0.0353419 | − | 0.00946984i | 0.241105 | − | 0.970499i | \(-0.422490\pi\) |
−0.276447 | + | 0.961029i | \(0.589157\pi\) | |||||||
\(548\) | 3.04203 | − | 27.2083i | 0.129949 | − | 1.16228i | ||||
\(549\) | −18.3028 | + | 17.9624i | −0.781143 | + | 0.766617i | ||||
\(550\) | 0.650230 | + | 0.412547i | 0.0277259 | + | 0.0175910i | ||||
\(551\) | −19.5897 | + | 11.3101i | −0.834549 | + | 0.481827i | ||||
\(552\) | −0.486040 | − | 0.0842861i | −0.0206872 | − | 0.00358746i | ||||
\(553\) | −2.23417 | − | 8.33803i | −0.0950065 | − | 0.354569i | ||||
\(554\) | −3.67667 | + | 2.50902i | −0.156207 | + | 0.106598i | ||||
\(555\) | −9.55498 | − | 10.8459i | −0.405586 | − | 0.460384i | ||||
\(556\) | 23.0722 | + | 9.03237i | 0.978480 | + | 0.383058i | ||||
\(557\) | −3.66031 | − | 3.66031i | −0.155092 | − | 0.155092i | 0.625296 | − | 0.780388i | \(-0.284978\pi\) |
−0.780388 | + | 0.625296i | \(0.784978\pi\) | |||||||
\(558\) | −22.3134 | − | 33.3659i | −0.944599 | − | 1.41249i | ||||
\(559\) | 8.77606i | 0.371188i | ||||||||
\(560\) | −23.5365 | − | 3.56413i | −0.994600 | − | 0.150612i | ||||
\(561\) | 0.182050 | + | 0.0248370i | 0.00768616 | + | 0.00104862i | ||||
\(562\) | 5.99997 | − | 31.7852i | 0.253094 | − | 1.34078i | ||||
\(563\) | −4.28470 | − | 15.9907i | −0.180579 | − | 0.673929i | −0.995534 | − | 0.0944047i | \(-0.969905\pi\) |
0.814955 | − | 0.579524i | \(-0.196761\pi\) | |||||||
\(564\) | −0.383837 | − | 25.8204i | −0.0161625 | − | 1.08724i | ||||
\(565\) | −1.89589 | − | 26.1415i | −0.0797607 | − | 1.09978i | ||||
\(566\) | −2.23500 | + | 4.64612i | −0.0939442 | + | 0.195291i | ||||
\(567\) | 5.76418 | + | 23.2493i | 0.242073 | + | 0.976378i | ||||
\(568\) | 2.76681 | − | 4.41595i | 0.116093 | − | 0.185289i | ||||
\(569\) | −13.8463 | − | 23.9825i | −0.580467 | − | 1.00540i | −0.995424 | − | 0.0955574i | \(-0.969537\pi\) |
0.414957 | − | 0.909841i | \(-0.363797\pi\) | |||||||
\(570\) | 22.4490 | + | 21.9152i | 0.940287 | + | 0.917925i | ||||
\(571\) | 11.1890 | + | 6.45999i | 0.468246 | + | 0.270342i | 0.715505 | − | 0.698607i | \(-0.246196\pi\) |
−0.247259 | + | 0.968949i | \(0.579530\pi\) | |||||||
\(572\) | −0.539647 | + | 0.732510i | −0.0225638 | + | 0.0306278i | ||||
\(573\) | −10.1977 | + | 7.74921i | −0.426015 | + | 0.323728i | ||||
\(574\) | 2.38812 | + | 31.6851i | 0.0996784 | + | 1.32251i | ||||
\(575\) | −0.500024 | − | 0.0587734i | −0.0208524 | − | 0.00245102i | ||||
\(576\) | 15.5306 | + | 18.2976i | 0.647108 | + | 0.762399i | ||||
\(577\) | 3.81206 | + | 3.81206i | 0.158698 | + | 0.158698i | 0.781990 | − | 0.623291i | \(-0.214205\pi\) |
−0.623291 | + | 0.781990i | \(0.714205\pi\) | |||||||
\(578\) | −17.2121 | − | 14.7994i | −0.715930 | − | 0.615574i | ||||
\(579\) | 4.64595 | + | 11.3669i | 0.193079 | + | 0.472392i | ||||
\(580\) | −15.6274 | + | 8.22845i | −0.648892 | + | 0.341668i | ||||
\(581\) | −12.3906 | + | 21.4612i | −0.514051 | + | 0.890362i | ||||
\(582\) | 12.4047 | + | 14.0005i | 0.514191 | + | 0.580341i | ||||
\(583\) | −1.41874 | − | 0.380150i | −0.0587582 | − | 0.0157442i | ||||
\(584\) | 39.5369 | − | 9.07753i | 1.63605 | − | 0.375631i | ||||
\(585\) | 8.94261 | + | 26.5566i | 0.369731 | + | 1.09798i | ||||
\(586\) | 2.29579 | + | 1.10438i | 0.0948381 | + | 0.0456216i | ||||
\(587\) | 2.74206 | − | 10.2335i | 0.113177 | − | 0.422382i | −0.885967 | − | 0.463748i | \(-0.846504\pi\) |
0.999144 | + | 0.0413660i | \(0.0131710\pi\) | |||||||
\(588\) | 0.0706138 | − | 0.280125i | 0.00291206 | − | 0.0115522i | ||||
\(589\) | 27.0952 | − | 46.9303i | 1.11644 | − | 1.93373i | ||||
\(590\) | 3.89065 | + | 26.1631i | 0.160176 | + | 1.07712i | ||||
\(591\) | 5.35788 | + | 4.15134i | 0.220394 | + | 0.170763i | ||||
\(592\) | 6.95299 | − | 13.2105i | 0.285766 | − | 0.542947i | ||||
\(593\) | −18.1914 | − | 18.1914i | −0.747032 | − | 0.747032i | 0.226889 | − | 0.973921i | \(-0.427145\pi\) |
−0.973921 | + | 0.226889i | \(0.927145\pi\) | |||||||
\(594\) | 0.785558 | − | 0.152749i | 0.0322318 | − | 0.00626738i | ||||
\(595\) | −5.47624 | + | 1.90146i | −0.224504 | + | 0.0779524i | ||||
\(596\) | 6.55838 | − | 16.7527i | 0.268642 | − | 0.686217i | ||||
\(597\) | −1.50068 | − | 11.8274i | −0.0614187 | − | 0.484064i | ||||
\(598\) | 0.110338 | − | 0.584523i | 0.00451207 | − | 0.0239029i | ||||
\(599\) | 5.91619 | − | 10.2471i | 0.241729 | − | 0.418687i | −0.719478 | − | 0.694515i | \(-0.755619\pi\) |
0.961207 | + | 0.275829i | \(0.0889522\pi\) | |||||||
\(600\) | 16.8482 | + | 17.7803i | 0.687824 | + | 0.725878i | ||||
\(601\) | 17.0242 | + | 29.4868i | 0.694431 | + | 1.20279i | 0.970372 | + | 0.241615i | \(0.0776772\pi\) |
−0.275941 | + | 0.961175i | \(0.588989\pi\) | |||||||
\(602\) | −7.46275 | + | 2.61492i | −0.304159 | + | 0.106576i | ||||
\(603\) | 4.95494 | + | 8.77130i | 0.201781 | + | 0.357195i | ||||
\(604\) | 7.86576 | − | 6.28377i | 0.320053 | − | 0.255683i | ||||
\(605\) | −18.5850 | − | 16.0715i | −0.755587 | − | 0.653401i | ||||
\(606\) | −6.56979 | − | 0.397061i | −0.266880 | − | 0.0161295i | ||||
\(607\) | 33.1542 | − | 8.88364i | 1.34569 | − | 0.360576i | 0.487146 | − | 0.873321i | \(-0.338038\pi\) |
0.858541 | + | 0.512745i | \(0.171371\pi\) | |||||||
\(608\) | −12.8934 | + | 29.7256i | −0.522896 | + | 1.20553i | ||||
\(609\) | −6.88773 | − | 16.8517i | −0.279105 | − | 0.682865i | ||||
\(610\) | −25.1435 | − | 9.92542i | −1.01803 | − | 0.401868i | ||||
\(611\) | 31.1394 | 1.25977 | ||||||||
\(612\) | 5.42206 | + | 2.18155i | 0.219174 | + | 0.0881837i | ||||
\(613\) | −14.1315 | − | 14.1315i | −0.570766 | − | 0.570766i | 0.361576 | − | 0.932342i | \(-0.382239\pi\) |
−0.932342 | + | 0.361576i | \(0.882239\pi\) | |||||||
\(614\) | 3.49611 | + | 46.3855i | 0.141091 | + | 1.87197i | ||||
\(615\) | 18.1036 | − | 27.2266i | 0.730007 | − | 1.09788i | ||||
\(616\) | −0.783685 | − | 0.240632i | −0.0315756 | − | 0.00969533i | ||||
\(617\) | 5.21282 | + | 19.4545i | 0.209860 | + | 0.783208i | 0.987913 | + | 0.155010i | \(0.0495409\pi\) |
−0.778053 | + | 0.628199i | \(0.783792\pi\) | |||||||
\(618\) | −11.9357 | − | 3.98403i | −0.480123 | − | 0.160261i | ||||
\(619\) | −11.4288 | − | 19.7952i | −0.459362 | − | 0.795638i | 0.539566 | − | 0.841944i | \(-0.318589\pi\) |
−0.998927 | + | 0.0463057i | \(0.985255\pi\) | |||||||
\(620\) | 22.5659 | − | 35.7906i | 0.906269 | − | 1.43738i | ||||
\(621\) | −0.419539 | + | 0.312639i | −0.0168355 | + | 0.0125458i | ||||
\(622\) | 3.20414 | − | 1.12272i | 0.128474 | − | 0.0450169i | ||||
\(623\) | 4.60676 | − | 17.1927i | 0.184566 | − | 0.688810i | ||||
\(624\) | −22.3404 | + | 18.3978i | −0.894330 | + | 0.736500i | ||||
\(625\) | 18.1621 | + | 17.1796i | 0.726482 | + | 0.687185i | ||||
\(626\) | −3.33206 | + | 2.27385i | −0.133176 | + | 0.0908814i | ||||
\(627\) | 0.653684 | + | 0.860225i | 0.0261056 | + | 0.0343541i | ||||
\(628\) | 36.8745 | − | 16.1258i | 1.47145 | − | 0.643491i | ||||
\(629\) | − | 3.63539i | − | 0.144952i | ||||||
\(630\) | −19.9179 | + | 15.5172i | −0.793548 | + | 0.618219i | ||||
\(631\) | −32.3304 | −1.28705 | −0.643526 | − | 0.765424i | \(-0.722529\pi\) | ||||
−0.643526 | + | 0.765424i | \(0.722529\pi\) | |||||||
\(632\) | −9.16770 | − | 0.331228i | −0.364672 | − | 0.0131755i | ||||
\(633\) | 4.11237 | + | 1.72605i | 0.163452 | + | 0.0686044i | ||||
\(634\) | −18.5209 | − | 27.1402i | −0.735560 | − | 1.07787i | ||||
\(635\) | −30.3832 | + | 20.6081i | −1.20572 | + | 0.817809i | ||||
\(636\) | −40.8041 | − | 22.7563i | −1.61799 | − | 0.902348i | ||||
\(637\) | 0.336491 | + | 0.0901624i | 0.0133322 | + | 0.00357236i | ||||
\(638\) | −0.574006 | + | 0.201130i | −0.0227251 | + | 0.00796280i | ||||
\(639\) | −1.38038 | − | 5.35209i | −0.0546072 | − | 0.211725i | ||||
\(640\) | −10.9629 | + | 22.7995i | −0.433345 | + | 0.901228i | ||||
\(641\) | 12.9617 | − | 7.48343i | 0.511956 | − | 0.295578i | −0.221681 | − | 0.975119i | \(-0.571155\pi\) |
0.733637 | + | 0.679541i | \(0.237821\pi\) | |||||||
\(642\) | −28.0797 | + | 5.73402i | −1.10822 | + | 0.226304i | ||||
\(643\) | 27.6120 | − | 7.39862i | 1.08891 | − | 0.291773i | 0.330670 | − | 0.943746i | \(-0.392725\pi\) |
0.758242 | + | 0.651973i | \(0.226059\pi\) | |||||||
\(644\) | 0.529927 | − | 0.0803383i | 0.0208821 | − | 0.00316577i | ||||
\(645\) | 7.71089 | + | 2.59812i | 0.303616 | + | 0.102301i | ||||
\(646\) | 0.593021 | + | 7.86807i | 0.0233321 | + | 0.309565i | ||||
\(647\) | −13.1675 | + | 13.1675i | −0.517667 | + | 0.517667i | −0.916865 | − | 0.399198i | \(-0.869289\pi\) |
0.399198 | + | 0.916865i | \(0.369289\pi\) | |||||||
\(648\) | 25.4175 | + | 1.39643i | 0.998494 | + | 0.0548569i | ||||
\(649\) | 0.910917i | 0.0357566i | ||||||||
\(650\) | −21.7403 | + | 19.9957i | −0.852724 | + | 0.784296i | ||||
\(651\) | 34.4755 | + | 26.7119i | 1.35120 | + | 1.04692i | ||||
\(652\) | −28.8166 | + | 39.1152i | −1.12854 | + | 1.53187i | ||||
\(653\) | 5.50631 | + | 20.5498i | 0.215479 | + | 0.804177i | 0.985998 | + | 0.166760i | \(0.0533305\pi\) |
−0.770519 | + | 0.637417i | \(0.780003\pi\) | |||||||
\(654\) | 23.5205 | − | 35.5915i | 0.919725 | − | 1.39174i | ||||
\(655\) | −21.7973 | − | 18.8494i | −0.851690 | − | 0.736508i | ||||
\(656\) | 32.9345 | + | 7.45770i | 1.28588 | + | 0.291174i | ||||
\(657\) | 21.8619 | − | 37.0583i | 0.852914 | − | 1.44578i | ||||
\(658\) | 9.27832 | + | 26.4795i | 0.361707 | + | 1.03228i | ||||
\(659\) | −23.9029 | + | 13.8004i | −0.931126 | + | 0.537586i | −0.887167 | − | 0.461448i | \(-0.847330\pi\) |
−0.0439583 | + | 0.999033i | \(0.513997\pi\) | |||||||
\(660\) | 0.483843 | + | 0.691006i | 0.0188336 | + | 0.0268974i | ||||
\(661\) | −21.4371 | − | 12.3767i | −0.833808 | − | 0.481399i | 0.0213470 | − | 0.999772i | \(-0.493205\pi\) |
−0.855155 | + | 0.518373i | \(0.826538\pi\) | |||||||
\(662\) | 7.17680 | − | 38.0195i | 0.278934 | − | 1.47767i | ||||
\(663\) | −2.72755 | + | 6.49846i | −0.105929 | + | 0.252379i | ||||
\(664\) | 17.9378 | + | 19.2825i | 0.696121 | + | 0.748308i | ||||
\(665\) | −30.6761 | − | 14.8637i | −1.18957 | − | 0.576390i | ||||
\(666\) | −5.09560 | − | 14.9918i | −0.197450 | − | 0.580919i | ||||
\(667\) | 0.281186 | − | 0.281186i | 0.0108876 | − | 0.0108876i | ||||
\(668\) | −11.0552 | + | 4.83460i | −0.427737 | + | 0.187056i | ||||
\(669\) | 24.9445 | + | 3.40316i | 0.964409 | + | 0.131574i | ||||
\(670\) | −6.32264 | + | 8.53158i | −0.244265 | + | 0.329604i | ||||
\(671\) | −0.806201 | − | 0.465460i | −0.0311230 | − | 0.0179689i | ||||
\(672\) | −22.3011 | − | 13.5154i | −0.860285 | − | 0.521367i | ||||
\(673\) | −45.4537 | − | 12.1793i | −1.75211 | − | 0.469477i | −0.767036 | − | 0.641604i | \(-0.778269\pi\) |
−0.985075 | + | 0.172127i | \(0.944936\pi\) | |||||||
\(674\) | −0.229269 | + | 0.476604i | −0.00883110 | + | 0.0183581i | ||||
\(675\) | 25.9808 | + | 0.00474244i | 1.00000 | + | 0.000182536i | ||||
\(676\) | −5.55423 | − | 6.95255i | −0.213624 | − | 0.267406i | ||||
\(677\) | 4.96795 | − | 18.5406i | 0.190934 | − | 0.712574i | −0.802348 | − | 0.596856i | \(-0.796416\pi\) |
0.993282 | − | 0.115718i | \(-0.0369169\pi\) | |||||||
\(678\) | 9.09070 | − | 27.2346i | 0.349126 | − | 1.04594i | ||||
\(679\) | −17.6012 | − | 10.1621i | −0.675472 | − | 0.389984i | ||||
\(680\) | 0.223479 | + | 6.15657i | 0.00857001 | + | 0.236094i | ||||
\(681\) | 4.05682 | − | 29.7357i | 0.155458 | − | 1.13947i | ||||
\(682\) | 0.949974 | − | 1.10485i | 0.0363764 | − | 0.0423068i | ||||
\(683\) | 2.25163 | − | 2.25163i | 0.0861563 | − | 0.0861563i | −0.662715 | − | 0.748872i | \(-0.730596\pi\) |
0.748872 | + | 0.662715i | \(0.230596\pi\) | |||||||
\(684\) | 13.4739 | + | 31.6154i | 0.515188 | + | 1.20885i | ||||
\(685\) | 13.3471 | − | 27.5461i | 0.509968 | − | 1.05248i | ||||
\(686\) | −1.95659 | − | 25.9596i | −0.0747031 | − | 0.991144i | ||||
\(687\) | −9.91320 | + | 23.6185i | −0.378212 | + | 0.901101i | ||||
\(688\) | 0.328620 | + | 8.39726i | 0.0125285 | + | 0.320143i | ||||
\(689\) | 28.1695 | − | 48.7909i | 1.07317 | − | 1.85879i | ||||
\(690\) | −0.480913 | − | 0.269992i | −0.0183081 | − | 0.0102784i | ||||
\(691\) | −16.7659 | + | 9.67982i | −0.637806 | + | 0.368238i | −0.783769 | − | 0.621052i | \(-0.786705\pi\) |
0.145963 | + | 0.989290i | \(0.453372\pi\) | |||||||
\(692\) | −3.06049 | + | 27.3735i | −0.116343 | + | 1.04058i | ||||
\(693\) | −0.757078 | + | 0.427676i | −0.0287590 | + | 0.0162461i | ||||
\(694\) | −0.104074 | + | 0.216348i | −0.00395058 | + | 0.00821246i | ||||
\(695\) | 20.9537 | + | 18.1199i | 0.794819 | + | 0.687328i | ||||
\(696\) | −19.2686 | + | 1.74067i | −0.730373 | + | 0.0659800i | ||||
\(697\) | 7.94305 | − | 2.12833i | 0.300864 | − | 0.0806164i | ||||
\(698\) | −7.28901 | − | 1.37592i | −0.275893 | − | 0.0520794i | ||||
\(699\) | 19.3651 | + | 15.0043i | 0.732456 | + | 0.567514i | ||||
\(700\) | −23.4811 | − | 12.5290i | −0.887504 | − | 0.473551i | ||||
\(701\) | 50.4199 | 1.90434 | 0.952168 | − | 0.305576i | \(-0.0988492\pi\) | ||||
0.952168 | + | 0.305576i | \(0.0988492\pi\) | |||||||
\(702\) | −2.13930 | + | 30.6217i | −0.0807429 | + | 1.15574i | ||||
\(703\) | 15.1158 | − | 15.1158i | 0.570102 | − | 0.570102i | ||||
\(704\) | −0.488926 | + | 0.721099i | −0.0184271 | + | 0.0271775i | ||||
\(705\) | 9.21871 | − | 27.3600i | 0.347197 | − | 1.03044i | ||||
\(706\) | −21.6717 | − | 31.7573i | −0.815626 | − | 1.19520i | ||||
\(707\) | 6.90768 | − | 1.85091i | 0.259790 | − | 0.0696106i | ||||
\(708\) | −7.08254 | + | 28.0964i | −0.266178 | + | 1.05593i | ||||
\(709\) | 10.3220 | + | 17.8782i | 0.387650 | + | 0.671430i | 0.992133 | − | 0.125188i | \(-0.0399536\pi\) |
−0.604483 | + | 0.796618i | \(0.706620\pi\) | |||||||
\(710\) | 4.56228 | − | 3.62359i | 0.171219 | − | 0.135991i | ||||
\(711\) | −6.94453 | + | 6.81539i | −0.260440 | + | 0.255597i | ||||
\(712\) | −16.0294 | − | 10.0432i | −0.600726 | − | 0.376384i | ||||
\(713\) | −0.246564 | + | 0.920191i | −0.00923391 | + | 0.0344614i | ||||
\(714\) | −6.33868 | − | 0.383093i | −0.237219 | − | 0.0143369i | ||||
\(715\) | −0.841841 | + | 0.571000i | −0.0314831 | + | 0.0213542i | ||||
\(716\) | −27.1069 | + | 4.10947i | −1.01303 | + | 0.153578i | ||||
\(717\) | 17.4364 | − | 41.5428i | 0.651175 | − | 1.55144i | ||||
\(718\) | −23.3759 | + | 27.1868i | −0.872379 | + | 1.01460i | ||||
\(719\) | 22.4230 | 0.836238 | 0.418119 | − | 0.908392i | \(-0.362690\pi\) | ||||
0.418119 | + | 0.908392i | \(0.362690\pi\) | |||||||
\(720\) | 9.55103 | + | 25.0754i | 0.355946 | + | 0.934507i | ||||
\(721\) | 13.6719 | 0.509170 | ||||||||
\(722\) | −12.7310 | + | 14.8065i | −0.473798 | + | 0.551041i | ||||
\(723\) | −20.6061 | − | 27.1169i | −0.766348 | − | 1.00849i | ||||
\(724\) | 22.7678 | − | 3.45165i | 0.846158 | − | 0.128280i | ||||
\(725\) | −19.5393 | + | 2.84914i | −0.725673 | + | 0.105814i | ||||
\(726\) | −12.0270 | − | 24.0788i | −0.446363 | − | 0.893647i | ||||
\(727\) | −4.53738 | + | 16.9337i | −0.168282 | + | 0.628038i | 0.829316 | + | 0.558779i | \(0.188730\pi\) |
−0.997599 | + | 0.0692588i | \(0.977937\pi\) | |||||||
\(728\) | 16.6957 | − | 26.6470i | 0.618782 | − | 0.987602i | ||||
\(729\) | 19.6218 | − | 18.5468i | 0.726733 | − | 0.686920i | ||||
\(730\) | 45.0584 | + | 5.16695i | 1.66769 | + | 0.191237i | ||||
\(731\) | 1.02323 | + | 1.77229i | 0.0378456 | + | 0.0655505i | ||||
\(732\) | −21.2475 | − | 20.6251i | −0.785332 | − | 0.762325i | ||||
\(733\) | 2.53605 | − | 0.679534i | 0.0936713 | − | 0.0250992i | −0.211679 | − | 0.977339i | \(-0.567893\pi\) |
0.305350 | + | 0.952240i | \(0.401226\pi\) | |||||||
\(734\) | −8.46824 | − | 12.4092i | −0.312569 | − | 0.458032i | ||||
\(735\) | 0.178836 | − | 0.268958i | 0.00659646 | − | 0.00992066i | ||||
\(736\) | 0.0836883 | − | 0.563425i | 0.00308479 | − | 0.0207681i | ||||
\(737\) | −0.258589 | + | 0.258589i | −0.00952524 | + | 0.00952524i | ||||
\(738\) | 29.7726 | − | 19.9104i | 1.09595 | − | 0.732912i | ||||
\(739\) | 2.84381 | 0.104611 | 0.0523057 | − | 0.998631i | \(-0.483343\pi\) | ||||
0.0523057 | + | 0.998631i | \(0.483343\pi\) | |||||||
\(740\) | 12.2526 | − | 11.3336i | 0.450414 | − | 0.416630i | ||||
\(741\) | −38.3613 | + | 15.6793i | −1.40924 | + | 0.575992i | ||||
\(742\) | 49.8829 | + | 9.41621i | 1.83126 | + | 0.345680i | ||||
\(743\) | 11.6722 | − | 3.12756i | 0.428212 | − | 0.114739i | −0.0382747 | − | 0.999267i | \(-0.512186\pi\) |
0.466487 | + | 0.884528i | \(0.345520\pi\) | |||||||
\(744\) | 37.8915 | − | 26.6919i | 1.38917 | − | 0.978571i | ||||
\(745\) | 13.1568 | − | 15.2144i | 0.482029 | − | 0.557413i | ||||
\(746\) | −0.371528 | + | 0.772332i | −0.0136026 | + | 0.0282771i | ||||
\(747\) | 27.9322 | + | 0.262156i | 1.02199 | + | 0.00959180i | ||||
\(748\) | −0.0235737 | + | 0.210847i | −0.000861941 | + | 0.00770932i | ||||
\(749\) | 26.9675 | − | 15.5697i | 0.985370 | − | 0.568903i | ||||
\(750\) | 11.1327 | + | 25.0213i | 0.406507 | + | 0.913648i | ||||
\(751\) | 2.95051 | − | 5.11043i | 0.107666 | − | 0.186482i | −0.807159 | − | 0.590335i | \(-0.798996\pi\) |
0.914824 | + | 0.403852i | \(0.132329\pi\) | |||||||
\(752\) | 29.7954 | − | 1.16602i | 1.08653 | − | 0.0425203i | ||||
\(753\) | −21.9141 | + | 2.78049i | −0.798593 | + | 0.101327i | ||||
\(754\) | −1.75342 | − | 23.2639i | −0.0638557 | − | 0.847222i | ||||
\(755\) | 10.6331 | − | 3.69205i | 0.386980 | − | 0.134367i | ||||
\(756\) | −26.6767 | + | 7.30489i | −0.970221 | + | 0.265676i | ||||
\(757\) | −5.52774 | + | 5.52774i | −0.200909 | + | 0.200909i | −0.800389 | − | 0.599480i | \(-0.795374\pi\) |
0.599480 | + | 0.800389i | \(0.295374\pi\) | |||||||
\(758\) | −14.2384 | + | 16.5596i | −0.517161 | + | 0.601473i | ||||
\(759\) | −0.0150140 | − | 0.0116330i | −0.000544973 | − | 0.000422250i | ||||
\(760\) | −24.6695 | + | 26.5279i | −0.894856 | + | 0.962268i | ||||
\(761\) | −20.2154 | − | 11.6714i | −0.732808 | − | 0.423087i | 0.0866403 | − | 0.996240i | \(-0.472387\pi\) |
−0.819449 | + | 0.573153i | \(0.805720\pi\) | |||||||
\(762\) | −39.4037 | + | 8.04643i | −1.42745 | + | 0.291492i | ||||
\(763\) | −11.9970 | + | 44.7735i | −0.434321 | + | 1.62091i | ||||
\(764\) | −9.23090 | − | 11.5549i | −0.333962 | − | 0.418040i | ||||
\(765\) | 4.90225 | + | 4.32034i | 0.177241 | + | 0.156202i | ||||
\(766\) | −15.6217 | + | 32.4745i | −0.564436 | + | 1.17335i | ||||
\(767\) | −33.7499 | − | 9.04325i | −1.21864 | − | 0.326533i | ||||
\(768\) | −20.6872 | + | 18.4402i | −0.746484 | + | 0.665404i | ||||
\(769\) | −7.20568 | − | 4.16020i | −0.259843 | − | 0.150021i | 0.364420 | − | 0.931235i | \(-0.381267\pi\) |
−0.624263 | + | 0.781214i | \(0.714601\pi\) | |||||||
\(770\) | −0.736386 | − | 0.545726i | −0.0265375 | − | 0.0196666i | ||||
\(771\) | −5.22584 | − | 12.7857i | −0.188204 | − | 0.460465i | ||||
\(772\) | −12.9914 | + | 5.68136i | −0.467572 | + | 0.204477i | ||||
\(773\) | 18.3408 | − | 18.3408i | 0.659672 | − | 0.659672i | −0.295630 | − | 0.955302i | \(-0.595530\pi\) |
0.955302 | + | 0.295630i | \(0.0955296\pi\) | |||||||
\(774\) | 6.70380 | + | 5.87441i | 0.240963 | + | 0.211151i | ||||
\(775\) | 37.1256 | − | 29.3159i | 1.33359 | − | 1.05306i | ||||
\(776\) | −15.8144 | + | 14.7115i | −0.567703 | + | 0.528111i | ||||
\(777\) | 10.4092 | + | 13.6981i | 0.373427 | + | 0.491417i | ||||
\(778\) | −2.59251 | + | 13.7340i | −0.0929459 | + | 0.492386i | ||||
\(779\) | 41.8763 | + | 24.1773i | 1.50037 | + | 0.866241i | ||||
\(780\) | −30.4055 | + | 11.0665i | −1.08869 | + | 0.396246i | ||||
\(781\) | 0.173763 | − | 0.100322i | 0.00621773 | − | 0.00358981i | ||||
\(782\) | −0.0458693 | − | 0.130907i | −0.00164028 | − | 0.00468122i | ||||
\(783\) | −12.7201 | + | 16.1026i | −0.454579 | + | 0.575461i | ||||
\(784\) | 0.325343 | + | 0.0736708i | 0.0116194 | + | 0.00263110i | ||||
\(785\) | 44.8790 | − | 3.25481i | 1.60180 | − | 0.116169i | ||||
\(786\) | −14.1058 | − | 28.2406i | −0.503136 | − | 1.00731i | ||||
\(787\) | 5.32908 | + | 19.8884i | 0.189961 | + | 0.708945i | 0.993514 | + | 0.113711i | \(0.0362738\pi\) |
−0.803553 | + | 0.595234i | \(0.797060\pi\) | |||||||
\(788\) | −4.64213 | + | 6.30116i | −0.165369 | + | 0.224469i | ||||
\(789\) | −5.20346 | + | 38.1403i | −0.185248 | + | 1.35783i | ||||
\(790\) | −9.54008 | − | 3.76595i | −0.339421 | − | 0.133987i | ||||
\(791\) | 31.1964i | 1.10922i | ||||||||
\(792\) | 0.198322 | + | 0.902541i | 0.00704707 | + | 0.0320704i | ||||
\(793\) | 25.2492 | − | 25.2492i | 0.896625 | − | 0.896625i | ||||
\(794\) | 0.806643 | + | 10.7023i | 0.0286267 | + | 0.379812i | ||||
\(795\) | −34.5296 | − | 39.1948i | −1.22464 | − | 1.39010i | ||||
\(796\) | 13.6111 | − | 2.06348i | 0.482432 | − | 0.0731380i | ||||
\(797\) | 25.8024 | − | 6.91373i | 0.913967 | − | 0.244897i | 0.228962 | − | 0.973435i | \(-0.426467\pi\) |
0.685005 | + | 0.728539i | \(0.259800\pi\) | |||||||
\(798\) | −24.7630 | − | 27.9488i | −0.876602 | − | 0.989377i | ||||
\(799\) | 6.28849 | − | 3.63066i | 0.222471 | − | 0.128443i | ||||
\(800\) | −20.0532 | + | 19.9467i | −0.708986 | + | 0.705222i | ||||
\(801\) | −19.4274 | + | 5.01063i | −0.686435 | + | 0.177042i | ||||
\(802\) | 10.6479 | − | 3.73099i | 0.375991 | − | 0.131746i | ||||
\(803\) | 1.50868 | + | 0.404249i | 0.0532401 | + | 0.0142656i | ||||
\(804\) | −9.98652 | + | 5.96537i | −0.352197 | + | 0.210383i | ||||
\(805\) | 0.588530 | + | 0.112821i | 0.0207430 | + | 0.00397642i | ||||
\(806\) | 31.5041 | + | 46.1655i | 1.10968 | + | 1.62611i | ||||
\(807\) | 1.69283 | + | 13.3418i | 0.0595906 | + | 0.469655i | ||||
\(808\) | 0.274407 | − | 7.59503i | 0.00965362 | − | 0.267192i | ||||
\(809\) | −49.5961 | −1.74371 | −0.871854 | − | 0.489766i | \(-0.837082\pi\) | ||||
−0.871854 | + | 0.489766i | \(0.837082\pi\) | |||||||
\(810\) | 26.2718 | + | 10.9451i | 0.923095 | + | 0.384571i | ||||
\(811\) | 41.7596i | 1.46638i | 0.680024 | + | 0.733190i | \(0.261969\pi\) | ||||
−0.680024 | + | 0.733190i | \(0.738031\pi\) | |||||||
\(812\) | 19.2601 | − | 8.42275i | 0.675897 | − | 0.295581i | ||||
\(813\) | 14.9815 | − | 1.90087i | 0.525423 | − | 0.0666665i | ||||
\(814\) | 0.474778 | − | 0.323996i | 0.0166410 | − | 0.0113561i | ||||
\(815\) | −44.9534 | + | 30.4908i | −1.57465 | + | 1.06804i | ||||
\(816\) | −2.36648 | + | 6.32010i | −0.0828434 | + | 0.221248i | ||||
\(817\) | −3.11455 | + | 11.6236i | −0.108964 | + | 0.406660i | ||||
\(818\) | 24.6146 | − | 8.62488i | 0.860631 | − | 0.301562i | ||||
\(819\) | −8.32960 | − | 32.2959i | −0.291060 | − | 1.12851i | ||||
\(820\) | 31.9362 | + | 20.1358i | 1.11526 | + | 0.703171i | ||||
\(821\) | −1.86156 | − | 3.22432i | −0.0649689 | − | 0.112529i | 0.831711 | − | 0.555208i | \(-0.187361\pi\) |
−0.896680 | + | 0.442679i | \(0.854028\pi\) | |||||||
\(822\) | 25.0971 | − | 22.2364i | 0.875362 | − | 0.775583i | ||||
\(823\) | 4.20313 | + | 15.6863i | 0.146512 | + | 0.546790i | 0.999683 | + | 0.0251597i | \(0.00800943\pi\) |
−0.853171 | + | 0.521631i | \(0.825324\pi\) | |||||||
\(824\) | 4.26483 | − | 13.8896i | 0.148572 | − | 0.483868i | ||||
\(825\) | 0.252473 | + | 0.908707i | 0.00878997 | + | 0.0316371i | ||||
\(826\) | −2.36617 | − | 31.3938i | −0.0823297 | − | 1.09233i | ||||
\(827\) | 7.78626 | + | 7.78626i | 0.270755 | + | 0.270755i | 0.829404 | − | 0.558649i | \(-0.188680\pi\) |
−0.558649 | + | 0.829404i | \(0.688680\pi\) | |||||||
\(828\) | −0.372645 | − | 0.475546i | −0.0129503 | − | 0.0165264i | ||||
\(829\) | −49.3670 | −1.71459 | −0.857293 | − | 0.514829i | \(-0.827855\pi\) | ||||
−0.857293 | + | 0.514829i | \(0.827855\pi\) | |||||||
\(830\) | 11.7213 | + | 27.0108i | 0.406852 | + | 0.937560i | ||||
\(831\) | −5.40153 | − | 0.736927i | −0.187377 | − | 0.0255637i | ||||
\(832\) | −21.8632 | − | 25.2737i | −0.757969 | − | 0.876209i | ||||
\(833\) | 0.0784653 | − | 0.0210247i | 0.00271866 | − | 0.000728463i | ||||
\(834\) | 13.5598 | + | 27.1477i | 0.469539 | + | 0.940048i | ||||
\(835\) | −13.4549 | + | 0.975808i | −0.465627 | + | 0.0337692i | ||||
\(836\) | −0.974709 | + | 0.778672i | −0.0337110 | + | 0.0269309i | ||||
\(837\) | 7.10222 | − | 48.6447i | 0.245489 | − | 1.68141i | ||||
\(838\) | 13.3620 | − | 4.68200i | 0.461583 | − | 0.161737i | ||||
\(839\) | 1.42565 | + | 2.46929i | 0.0492188 | + | 0.0852494i | 0.889585 | − | 0.456769i | \(-0.150994\pi\) |
−0.840366 | + | 0.542019i | \(0.817660\pi\) | |||||||
\(840\) | −18.4701 | − | 22.5580i | −0.637279 | − | 0.778325i | ||||
\(841\) | −6.70194 | + | 11.6081i | −0.231101 | + | 0.400279i | ||||
\(842\) | 2.21701 | − | 11.7447i | 0.0764031 | − | 0.404750i | ||||
\(843\) | 31.5425 | − | 23.9691i | 1.08638 | − | 0.825539i | ||||
\(844\) | −1.87735 | + | 4.79548i | −0.0646209 | + | 0.165067i | ||||
\(845\) | −3.26340 | − | 9.39864i | −0.112264 | − | 0.323323i | ||||
\(846\) | 20.8437 | − | 23.7866i | 0.716622 | − | 0.817800i | ||||
\(847\) | 20.6790 | + | 20.6790i | 0.710539 | + | 0.710539i | ||||
\(848\) | 25.1266 | − | 47.7398i | 0.862851 | − | 1.63939i | ||||
\(849\) | −5.84509 | + | 2.38904i | −0.200603 | + | 0.0819917i | ||||
\(850\) | −2.05899 | + | 6.57283i | −0.0706229 | + | 0.225446i | ||||
\(851\) | −0.187900 | + | 0.325452i | −0.00644113 | + | 0.0111564i | ||||
\(852\) | 6.13959 | − | 1.74331i | 0.210339 | − | 0.0597249i | ||||
\(853\) | −2.87650 | + | 10.7353i | −0.0984896 | + | 0.367568i | −0.997525 | − | 0.0703069i | \(-0.977602\pi\) |
0.899036 | + | 0.437875i | \(0.144269\pi\) | |||||||
\(854\) | 28.9940 | + | 13.9475i | 0.992153 | + | 0.477272i | ||||
\(855\) | 2.41954 | + | 38.3471i | 0.0827465 | + | 1.31144i | ||||
\(856\) | −7.40532 | − | 32.2536i | −0.253109 | − | 1.10241i | ||||
\(857\) | 39.7451 | + | 10.6497i | 1.35767 | + | 0.363786i | 0.862960 | − | 0.505273i | \(-0.168608\pi\) |
0.494709 | + | 0.869059i | \(0.335275\pi\) | |||||||
\(858\) | −1.09178 | + | 0.222947i | −0.0372727 | + | 0.00761127i | ||||
\(859\) | 13.7810 | − | 23.8694i | 0.470202 | − | 0.814413i | −0.529218 | − | 0.848486i | \(-0.677515\pi\) |
0.999419 | + | 0.0340730i | \(0.0108479\pi\) | |||||||
\(860\) | −2.78327 | + | 8.97390i | −0.0949089 | + | 0.306007i | ||||
\(861\) | −23.8353 | + | 30.7628i | −0.812305 | + | 1.04839i | ||||
\(862\) | −16.7225 | − | 14.3784i | −0.569570 | − | 0.489730i | ||||
\(863\) | 39.7632 | + | 39.7632i | 1.35355 | + | 1.35355i | 0.881650 | + | 0.471903i | \(0.156433\pi\) |
0.471903 | + | 0.881650i | \(0.343567\pi\) | |||||||
\(864\) | −0.900334 | + | 29.3801i | −0.0306300 | + | 0.999531i | ||||
\(865\) | −13.4282 | + | 27.7133i | −0.456571 | + | 0.942282i | ||||
\(866\) | −3.10124 | − | 41.1465i | −0.105384 | − | 1.39821i | ||||
\(867\) | −3.49943 | − | 27.5803i | −0.118847 | − | 0.936677i | ||||
\(868\) | −29.8700 | + | 40.5451i | −1.01385 | + | 1.37619i | ||||
\(869\) | −0.305893 | − | 0.176607i | −0.0103767 | − | 0.00599100i | ||||
\(870\) | −20.9594 | − | 5.34659i | −0.710591 | − | 0.181266i | ||||
\(871\) | −7.01365 | − | 12.1480i | −0.237649 | − | 0.411619i | ||||
\(872\) | 41.7439 | + | 26.1547i | 1.41363 | + | 0.885708i | ||||
\(873\) | −0.215005 | + | 22.9083i | −0.00727681 | + | 0.775329i | ||||
\(874\) | 0.353582 | − | 0.735026i | 0.0119601 | − | 0.0248626i | ||||
\(875\) | −20.0815 | − | 21.9580i | −0.678880 | − | 0.742318i | ||||
\(876\) | 43.3908 | + | 24.1989i | 1.46604 | + | 0.817607i | ||||
\(877\) | 6.58176 | + | 24.5635i | 0.222250 | + | 0.829449i | 0.983488 | + | 0.180976i | \(0.0579256\pi\) |
−0.761237 | + | 0.648474i | \(0.775408\pi\) | |||||||
\(878\) | 3.58738 | − | 19.0044i | 0.121068 | − | 0.641366i | ||||
\(879\) | 1.18050 | + | 2.88823i | 0.0398171 | + | 0.0974176i | ||||
\(880\) | −0.784123 | + | 0.577876i | −0.0264328 | + | 0.0194802i | ||||
\(881\) | − | 43.7727i | − | 1.47474i | −0.675489 | − | 0.737370i | \(-0.736068\pi\) | ||
0.675489 | − | 0.737370i | \(-0.263932\pi\) | |||||||
\(882\) | 0.294109 | − | 0.196684i | 0.00990315 | − | 0.00662271i | ||||
\(883\) | 26.2906 | + | 26.2906i | 0.884750 | + | 0.884750i | 0.994013 | − | 0.109263i | \(-0.0348489\pi\) |
−0.109263 | + | 0.994013i | \(0.534849\pi\) | |||||||
\(884\) | −7.57794 | − | 2.96663i | −0.254874 | − | 0.0997785i | ||||
\(885\) | −17.9372 | + | 26.9764i | −0.602951 | + | 0.906800i | ||||
\(886\) | 8.08290 | − | 5.51590i | 0.271550 | − | 0.185310i | ||||
\(887\) | 8.96949 | + | 33.4746i | 0.301166 | + | 1.12397i | 0.936196 | + | 0.351479i | \(0.114321\pi\) |
−0.635029 | + | 0.772488i | \(0.719012\pi\) | |||||||
\(888\) | 17.1632 | − | 6.30190i | 0.575961 | − | 0.211478i | ||||
\(889\) | 37.8429 | − | 21.8486i | 1.26921 | − | 0.732778i | ||||
\(890\) | −13.1532 | − | 16.5605i | −0.440896 | − | 0.555110i | ||||
\(891\) | 0.839468 | + | 0.505909i | 0.0281232 | + | 0.0169486i | ||||
\(892\) | −3.23007 | + | 28.8902i | −0.108151 | + | 0.967315i | ||||
\(893\) | 41.2433 | + | 11.0511i | 1.38015 | + | 0.369811i | ||||
\(894\) | 19.7119 | − | 9.84577i | 0.659264 | − | 0.329292i | ||||
\(895\) | −30.1045 | − | 5.77103i | −1.00628 | − | 0.192904i | ||||
\(896\) | 14.9772 | − | 26.1220i | 0.500354 | − | 0.872674i | ||||
\(897\) | 0.580060 | − | 0.440787i | 0.0193677 | − | 0.0147174i | ||||
\(898\) | −24.2693 | + | 28.2259i | −0.809878 | + | 0.941912i | ||||
\(899\) | 37.3631i | 1.24613i | ||||||||
\(900\) | 0.721946 | + | 29.9913i | 0.0240649 | + | 0.999710i | ||||
\(901\) | − | 13.1375i | − | 0.437674i | ||||||
\(902\) | 0.985865 | + | 0.847670i | 0.0328257 | + | 0.0282243i | ||||
\(903\) | −8.93011 | − | 3.74816i | −0.297175 | − | 0.124731i | ||||
\(904\) | 31.6931 | + | 9.73142i | 1.05410 | + | 0.323662i | ||||
\(905\) | 25.2856 | + | 4.84724i | 0.840522 | + | 0.161128i | ||||
\(906\) | 12.3077 | + | 0.743847i | 0.408897 | + | 0.0247127i | ||||
\(907\) | 25.6494 | + | 6.87273i | 0.851673 | + | 0.228205i | 0.658146 | − | 0.752890i | \(-0.271341\pi\) |
0.193527 | + | 0.981095i | \(0.438007\pi\) | |||||||
\(908\) | 34.4393 | + | 3.85048i | 1.14291 | + | 0.127783i | ||||
\(909\) | −5.64625 | − | 5.75323i | −0.187274 | − | 0.190823i | ||||
\(910\) | 27.5300 | − | 21.8657i | 0.912610 | − | 0.724840i | ||||
\(911\) | −21.3199 | + | 12.3090i | −0.706359 | + | 0.407817i | −0.809712 | − | 0.586828i | \(-0.800376\pi\) |
0.103352 | + | 0.994645i | \(0.467043\pi\) | |||||||
\(912\) | −36.1184 | + | 16.4389i | −1.19600 | + | 0.544348i | ||||
\(913\) | 0.262446 | + | 0.979461i | 0.00868569 | + | 0.0324154i | ||||
\(914\) | 12.0118 | + | 17.6019i | 0.397316 | + | 0.582220i | ||||
\(915\) | −14.7097 | − | 29.6596i | −0.486288 | − | 0.980515i | ||||
\(916\) | −27.5418 | − | 10.7821i | −0.910007 | − | 0.356251i | ||||
\(917\) | 24.2533 | + | 24.2533i | 0.800913 | + | 0.800913i | ||||
\(918\) | 3.13827 | + | 6.43336i | 0.103578 | + | 0.212333i | ||||
\(919\) | − | 47.2625i | − | 1.55905i | −0.626374 | − | 0.779523i | \(-0.715462\pi\) | ||
0.626374 | − | 0.779523i | \(-0.284538\pi\) | |||||||
\(920\) | 0.298204 | − | 0.562707i | 0.00983148 | − | 0.0185519i | ||||
\(921\) | −34.8938 | + | 45.0354i | −1.14979 | + | 1.48397i | ||||
\(922\) | 21.6281 | + | 4.08266i | 0.712285 | + | 0.134455i | ||||
\(923\) | 1.99192 | + | 7.43396i | 0.0655650 | + | 0.244692i | ||||
\(924\) | −0.514890 | − | 0.861967i | −0.0169386 | − | 0.0283566i | ||||
\(925\) | 17.1393 | − | 7.37998i | 0.563537 | − | 0.242652i | ||||
\(926\) | −32.3182 | − | 15.5466i | −1.06204 | − | 0.510893i | ||||
\(927\) | −7.57990 | − | 13.4180i | −0.248957 | − | 0.440706i | ||||
\(928\) | −2.54885 | − | 22.1941i | −0.0836702 | − | 0.728558i | ||||
\(929\) | 22.6123 | + | 39.1657i | 0.741886 | + | 1.28498i | 0.951636 | + | 0.307229i | \(0.0994017\pi\) |
−0.209750 | + | 0.977755i | \(0.567265\pi\) | |||||||
\(930\) | 49.8889 | − | 14.0133i | 1.63592 | − | 0.459513i | ||||
\(931\) | 0.413674 | + | 0.238835i | 0.0135576 | + | 0.00782750i | ||||
\(932\) | −16.7782 | + | 22.7744i | −0.549587 | + | 0.746002i | ||||
\(933\) | 3.83415 | + | 1.60928i | 0.125524 | + | 0.0526854i | ||||
\(934\) | 41.4295 | − | 3.12257i | 1.35561 | − | 0.102174i | ||||
\(935\) | −0.103432 | + | 0.213464i | −0.00338257 | + | 0.00698103i | ||||
\(936\) | −35.4084 | − | 1.61217i | −1.15736 | − | 0.0526955i | ||||
\(937\) | −31.2670 | − | 31.2670i | −1.02145 | − | 1.02145i | −0.999765 | − | 0.0216838i | \(-0.993097\pi\) |
−0.0216838 | − | 0.999765i | \(-0.506903\pi\) | |||||||
\(938\) | 8.24029 | − | 9.58370i | 0.269055 | − | 0.312919i | ||||
\(939\) | −4.89525 | − | 0.667856i | −0.159750 | − | 0.0217947i | ||||
\(940\) | 31.8414 | + | 9.87568i | 1.03855 | + | 0.322109i | ||||
\(941\) | −4.43736 | + | 7.68574i | −0.144654 | + | 0.250548i | −0.929244 | − | 0.369467i | \(-0.879540\pi\) |
0.784590 | + | 0.620015i | \(0.212874\pi\) | |||||||
\(942\) | 46.7557 | + | 15.6067i | 1.52338 | + | 0.508493i | ||||
\(943\) | −0.821094 | − | 0.220011i | −0.0267385 | − | 0.00716456i | ||||
\(944\) | −32.6317 | − | 7.38915i | −1.06207 | − | 0.240496i | ||||
\(945\) | −30.8420 | − | 2.24245i | −1.00329 | − | 0.0729470i | ||||
\(946\) | −0.140266 | + | 0.291585i | −0.00456043 | + | 0.00948023i | ||||
\(947\) | −4.87184 | + | 18.1820i | −0.158314 | + | 0.590834i | 0.840485 | + | 0.541835i | \(0.182270\pi\) |
−0.998799 | + | 0.0489999i | \(0.984397\pi\) | |||||||
\(948\) | −8.06186 | − | 7.82568i | −0.261837 | − | 0.254166i | ||||
\(949\) | −29.9552 | + | 51.8839i | −0.972387 | + | 1.68422i | ||||
\(950\) | −35.8907 | + | 18.7683i | −1.16445 | + | 0.608924i | ||||
\(951\) | 5.43981 | − | 39.8727i | 0.176398 | − | 1.29296i | ||||
\(952\) | 0.264754 | − | 7.32786i | 0.00858074 | − | 0.237497i | ||||
\(953\) | −13.2794 | − | 13.2794i | −0.430161 | − | 0.430161i | 0.458522 | − | 0.888683i | \(-0.348379\pi\) |
−0.888683 | + | 0.458522i | \(0.848379\pi\) | |||||||
\(954\) | −18.4144 | − | 54.1770i | −0.596188 | − | 1.75404i | ||||
\(955\) | −5.42364 | − | 15.6202i | −0.175505 | − | 0.505456i | ||||
\(956\) | 48.4436 | + | 18.9648i | 1.56678 | + | 0.613366i | ||||
\(957\) | −0.686870 | − | 0.288295i | −0.0222034 | − | 0.00931924i | ||||
\(958\) | 48.4734 | + | 9.15015i | 1.56610 | + | 0.295628i | ||||
\(959\) | −18.2163 | + | 31.5516i | −0.588235 | + | 1.01885i | ||||
\(960\) | −28.6787 | + | 11.7274i | −0.925601 | + | 0.378500i | ||||
\(961\) | −29.2546 | − | 50.6705i | −0.943698 | − | 1.63453i | ||||
\(962\) | 7.29078 | + | 20.8072i | 0.235064 | + | 0.670852i | ||||
\(963\) | −30.2316 | − | 17.8346i | −0.974201 | − | 0.574713i | ||||
\(964\) | 30.7257 | − | 24.5461i | 0.989610 | − | 0.790576i | ||||
\(965\) | −15.8115 | + | 1.14672i | −0.508990 | + | 0.0369141i | ||||
\(966\) | 0.547659 | + | 0.361919i | 0.0176207 | + | 0.0116446i | ||||
\(967\) | −4.00191 | + | 1.07231i | −0.128693 | + | 0.0344831i | −0.322590 | − | 0.946539i | \(-0.604554\pi\) |
0.193898 | + | 0.981022i | \(0.437887\pi\) | |||||||
\(968\) | 27.4589 | − | 14.5576i | 0.882561 | − | 0.467900i | ||||
\(969\) | −5.91880 | + | 7.63904i | −0.190139 | + | 0.245401i | ||||
\(970\) | −22.1527 | + | 9.61311i | −0.711279 | + | 0.308658i | ||||
\(971\) | −59.0820 | −1.89603 | −0.948016 | − | 0.318223i | \(-0.896914\pi\) | ||||
−0.948016 | + | 0.318223i | \(0.896914\pi\) | |||||||
\(972\) | 21.9591 | + | 22.1313i | 0.704340 | + | 0.709863i | ||||
\(973\) | −23.3146 | − | 23.3146i | −0.747433 | − | 0.747433i | ||||
\(974\) | −30.6310 | + | 2.30868i | −0.981482 | + | 0.0739749i | ||||
\(975\) | −36.1745 | + | 0.332910i | −1.15851 | + | 0.0106616i | ||||
\(976\) | 23.2139 | − | 25.1048i | 0.743058 | − | 0.803585i | ||||
\(977\) | 10.5980 | + | 39.5522i | 0.339060 | + | 1.26539i | 0.899401 | + | 0.437125i | \(0.144003\pi\) |
−0.560341 | + | 0.828262i | \(0.689330\pi\) | |||||||
\(978\) | −58.2997 | + | 11.9051i | −1.86422 | + | 0.380683i | ||||
\(979\) | −0.364157 | − | 0.630739i | −0.0116385 | − | 0.0201585i | ||||
\(980\) | 0.315481 | + | 0.198911i | 0.0100777 | + | 0.00635397i | ||||
\(981\) | 50.5933 | − | 13.0488i | 1.61532 | − | 0.416615i | ||||
\(982\) | −5.51722 | − | 15.7456i | −0.176061 | − | 0.502464i | ||||
\(983\) | −6.95749 | + | 25.9657i | −0.221909 | + | 0.828177i | 0.761710 | + | 0.647918i | \(0.224360\pi\) |
−0.983619 | + | 0.180259i | \(0.942306\pi\) | |||||||
\(984\) | 23.8174 | + | 33.8109i | 0.759270 | + | 1.07785i | ||||
\(985\) | −7.24164 | + | 4.91183i | −0.230738 | + | 0.156504i | ||||
\(986\) | −3.06652 | − | 4.49362i | −0.0976579 | − | 0.143106i | ||||
\(987\) | −13.2993 | + | 31.6860i | −0.423322 | + | 1.00858i | ||||
\(988\) | −19.1736 | − | 43.8438i | −0.609993 | − | 1.39486i | ||||
\(989\) | − | 0.211548i | − | 0.00672685i | ||||||
\(990\) | −0.127330 | + | 1.02527i | −0.00404680 | + | 0.0325852i | ||||
\(991\) | −30.3427 | −0.963869 | −0.481934 | − | 0.876207i | \(-0.660066\pi\) | ||||
−0.481934 | + | 0.876207i | \(0.660066\pi\) | |||||||
\(992\) | 31.8729 | + | 42.9932i | 1.01197 | + | 1.36503i | ||||
\(993\) | 37.7292 | − | 28.6704i | 1.19730 | − | 0.909826i | ||||
\(994\) | −5.72797 | + | 3.90886i | −0.181680 | + | 0.123982i | ||||
\(995\) | 15.1163 | + | 2.89779i | 0.479219 | + | 0.0918661i | ||||
\(996\) | 0.479435 | + | 32.2512i | 0.0151915 | + | 1.02192i | ||||
\(997\) | −16.7638 | − | 4.49185i | −0.530915 | − | 0.142258i | −0.0166041 | − | 0.999862i | \(-0.505285\pi\) |
−0.514311 | + | 0.857604i | \(0.671952\pi\) | |||||||
\(998\) | −12.9539 | − | 36.9694i | −0.410050 | − | 1.17025i | ||||
\(999\) | 7.67275 | − | 17.8103i | 0.242755 | − | 0.563492i |
(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 | 360.2.br.e.77.17 | ✓ | 256 | |
5.3 | odd | 4 | inner | 360.2.br.e.293.49 | yes | 256 | |
8.5 | even | 2 | inner | 360.2.br.e.77.27 | yes | 256 | |
9.2 | odd | 6 | inner | 360.2.br.e.317.5 | yes | 256 | |
40.13 | odd | 4 | inner | 360.2.br.e.293.5 | yes | 256 | |
45.38 | even | 12 | inner | 360.2.br.e.173.27 | yes | 256 | |
72.29 | odd | 6 | inner | 360.2.br.e.317.49 | yes | 256 | |
360.173 | even | 12 | inner | 360.2.br.e.173.17 | yes | 256 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
360.2.br.e.77.17 | ✓ | 256 | 1.1 | even | 1 | trivial | |
360.2.br.e.77.27 | yes | 256 | 8.5 | even | 2 | inner | |
360.2.br.e.173.17 | yes | 256 | 360.173 | even | 12 | inner | |
360.2.br.e.173.27 | yes | 256 | 45.38 | even | 12 | inner | |
360.2.br.e.293.5 | yes | 256 | 40.13 | odd | 4 | inner | |
360.2.br.e.293.49 | yes | 256 | 5.3 | odd | 4 | inner | |
360.2.br.e.317.5 | yes | 256 | 9.2 | odd | 6 | inner | |
360.2.br.e.317.49 | yes | 256 | 72.29 | odd | 6 | inner |