Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [210,2,Mod(23,210)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(210, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 9, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("210.23");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 210 = 2 \cdot 3 \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 210.x (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: | \(1.67685844245\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 107.8 | ||
Character | \(\chi\) | \(=\) | 210.107 |
Dual form | 210.2.x.a.53.8 |
$q$-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 \(\left(\mathbb{Z}/210\mathbb{Z}\right)^\times\).
\(n\) | \(31\) | \(71\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(-1\) | \(e\left(\frac{1}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.258819 | − | 0.965926i | −0.183013 | − | 0.683013i | ||||
\(3\) | 1.55878 | + | 0.755113i | 0.899964 | + | 0.435965i | ||||
\(4\) | −0.866025 | + | 0.500000i | −0.433013 | + | 0.250000i | ||||
\(5\) | −0.856739 | + | 2.06543i | −0.383145 | + | 0.923688i | ||||
\(6\) | 0.325941 | − | 1.70111i | 0.133065 | − | 0.694474i | ||||
\(7\) | −0.301012 | + | 2.62857i | −0.113772 | + | 0.993507i | ||||
\(8\) | 0.707107 | + | 0.707107i | 0.250000 | + | 0.250000i | ||||
\(9\) | 1.85961 | + | 2.35411i | 0.619869 | + | 0.784705i | ||||
\(10\) | 2.21679 | + | 0.292973i | 0.701011 | + | 0.0926463i | ||||
\(11\) | 1.49091 | − | 0.860779i | 0.449527 | − | 0.259535i | −0.258103 | − | 0.966117i | \(-0.583097\pi\) |
0.707631 | + | 0.706583i | \(0.249764\pi\) | |||||||
\(12\) | −1.72750 | + | 0.125444i | −0.498687 | + | 0.0362127i | ||||
\(13\) | 1.71166 | − | 1.71166i | 0.474728 | − | 0.474728i | −0.428713 | − | 0.903441i | \(-0.641033\pi\) |
0.903441 | + | 0.428713i | \(0.141033\pi\) | |||||||
\(14\) | 2.61691 | − | 0.389569i | 0.699400 | − | 0.104117i | ||||
\(15\) | −2.89510 | + | 2.57262i | −0.747512 | + | 0.664248i | ||||
\(16\) | 0.500000 | − | 0.866025i | 0.125000 | − | 0.216506i | ||||
\(17\) | −2.39412 | − | 0.641503i | −0.580660 | − | 0.155587i | −0.0434791 | − | 0.999054i | \(-0.513844\pi\) |
−0.537181 | + | 0.843467i | \(0.680511\pi\) | |||||||
\(18\) | 1.79260 | − | 2.40553i | 0.422519 | − | 0.566990i | ||||
\(19\) | −3.74936 | − | 2.16470i | −0.860163 | − | 0.496615i | 0.00390374 | − | 0.999992i | \(-0.498757\pi\) |
−0.864067 | + | 0.503377i | \(0.832091\pi\) | |||||||
\(20\) | −0.290757 | − | 2.21708i | −0.0650153 | − | 0.495755i | ||||
\(21\) | −2.45408 | + | 3.87008i | −0.535524 | + | 0.844520i | ||||
\(22\) | −1.21733 | − | 1.21733i | −0.259535 | − | 0.259535i | ||||
\(23\) | 7.36627 | − | 1.97379i | 1.53597 | − | 0.411563i | 0.611012 | − | 0.791622i | \(-0.290763\pi\) |
0.924962 | + | 0.380059i | \(0.124096\pi\) | |||||||
\(24\) | 0.568280 | + | 1.63617i | 0.116000 | + | 0.333982i | ||||
\(25\) | −3.53200 | − | 3.53907i | −0.706400 | − | 0.707813i | ||||
\(26\) | −2.09634 | − | 1.21032i | −0.411126 | − | 0.237364i | ||||
\(27\) | 1.12110 | + | 5.07377i | 0.215756 | + | 0.976447i | ||||
\(28\) | −1.05360 | − | 2.42692i | −0.199112 | − | 0.458644i | ||||
\(29\) | 3.49141 | 0.648339 | 0.324170 | − | 0.945999i | \(-0.394915\pi\) | ||||
0.324170 | + | 0.945999i | \(0.394915\pi\) | |||||||
\(30\) | 3.23427 | + | 2.13061i | 0.590494 | + | 0.388994i | ||||
\(31\) | −2.74588 | − | 4.75601i | −0.493175 | − | 0.854204i | 0.506794 | − | 0.862067i | \(-0.330830\pi\) |
−0.999969 | + | 0.00786297i | \(0.997497\pi\) | |||||||
\(32\) | −0.965926 | − | 0.258819i | −0.170753 | − | 0.0457532i | ||||
\(33\) | 2.97400 | − | 0.215960i | 0.517706 | − | 0.0375938i | ||||
\(34\) | 2.47858i | 0.425073i | ||||||||
\(35\) | −5.17124 | − | 2.87372i | −0.874099 | − | 0.485747i | ||||
\(36\) | −2.78753 | − | 1.10892i | −0.464588 | − | 0.184820i | ||||
\(37\) | 4.83348 | − | 1.29513i | 0.794619 | − | 0.212918i | 0.161399 | − | 0.986889i | \(-0.448399\pi\) |
0.633220 | + | 0.773972i | \(0.281733\pi\) | |||||||
\(38\) | −1.12053 | + | 4.18187i | −0.181774 | + | 0.678389i | ||||
\(39\) | 3.96059 | − | 1.37561i | 0.634203 | − | 0.220273i | ||||
\(40\) | −2.06628 | + | 0.854674i | −0.326708 | + | 0.135136i | ||||
\(41\) | − | 5.76741i | − | 0.900718i | −0.892848 | − | 0.450359i | \(-0.851296\pi\) | ||
0.892848 | − | 0.450359i | \(-0.148704\pi\) | |||||||
\(42\) | 4.37337 | + | 1.36881i | 0.674825 | + | 0.211212i | ||||
\(43\) | −1.33337 | + | 1.33337i | −0.203337 | + | 0.203337i | −0.801428 | − | 0.598091i | \(-0.795926\pi\) |
0.598091 | + | 0.801428i | \(0.295926\pi\) | |||||||
\(44\) | −0.860779 | + | 1.49091i | −0.129767 | + | 0.224764i | ||||
\(45\) | −6.45546 | + | 1.82403i | −0.962323 | + | 0.271910i | ||||
\(46\) | −3.81306 | − | 6.60442i | −0.562206 | − | 0.973769i | ||||
\(47\) | 1.56613 | + | 5.84489i | 0.228444 | + | 0.852565i | 0.980995 | + | 0.194031i | \(0.0621563\pi\) |
−0.752551 | + | 0.658534i | \(0.771177\pi\) | |||||||
\(48\) | 1.43334 | − | 0.972389i | 0.206885 | − | 0.140352i | ||||
\(49\) | −6.81878 | − | 1.58246i | −0.974112 | − | 0.226066i | ||||
\(50\) | −2.50433 | + | 4.32763i | −0.354165 | + | 0.612019i | ||||
\(51\) | −3.24751 | − | 2.80780i | −0.454742 | − | 0.393170i | ||||
\(52\) | −0.626510 | + | 2.33817i | −0.0868812 | + | 0.324245i | ||||
\(53\) | −3.51917 | + | 13.1337i | −0.483395 | + | 1.80406i | 0.103784 | + | 0.994600i | \(0.466905\pi\) |
−0.587180 | + | 0.809457i | \(0.699762\pi\) | |||||||
\(54\) | 4.61072 | − | 2.39609i | 0.627440 | − | 0.326067i | ||||
\(55\) | 0.500556 | + | 3.81684i | 0.0674949 | + | 0.514663i | ||||
\(56\) | −2.07153 | + | 1.64583i | −0.276820 | + | 0.219934i | ||||
\(57\) | −4.20985 | − | 6.20549i | −0.557609 | − | 0.821937i | ||||
\(58\) | −0.903644 | − | 3.37245i | −0.118654 | − | 0.442824i | ||||
\(59\) | −5.45213 | − | 9.44337i | −0.709807 | − | 1.22942i | −0.964928 | − | 0.262513i | \(-0.915449\pi\) |
0.255121 | − | 0.966909i | \(-0.417885\pi\) | |||||||
\(60\) | 1.22092 | − | 3.67551i | 0.157620 | − | 0.474506i | ||||
\(61\) | −4.22391 | + | 7.31603i | −0.540817 | + | 0.936722i | 0.458041 | + | 0.888931i | \(0.348551\pi\) |
−0.998857 | + | 0.0477908i | \(0.984782\pi\) | |||||||
\(62\) | −3.88326 | + | 3.88326i | −0.493175 | + | 0.493175i | ||||
\(63\) | −6.74772 | + | 4.17950i | −0.850133 | + | 0.526567i | ||||
\(64\) | 1.00000i | 0.125000i | ||||||||
\(65\) | 2.06886 | + | 5.00175i | 0.256611 | + | 0.620390i | ||||
\(66\) | −0.978328 | − | 2.81677i | −0.120424 | − | 0.346720i | ||||
\(67\) | 3.54455 | − | 13.2284i | 0.433035 | − | 1.61611i | −0.312689 | − | 0.949856i | \(-0.601230\pi\) |
0.745724 | − | 0.666255i | \(-0.232104\pi\) | |||||||
\(68\) | 2.39412 | − | 0.641503i | 0.290330 | − | 0.0777937i | ||||
\(69\) | 12.9729 | + | 2.48566i | 1.56175 | + | 0.299239i | ||||
\(70\) | −1.43738 | + | 5.73881i | −0.171800 | + | 0.685919i | ||||
\(71\) | − | 10.9125i | − | 1.29507i | −0.762034 | − | 0.647537i | \(-0.775799\pi\) | ||
0.762034 | − | 0.647537i | \(-0.224201\pi\) | |||||||
\(72\) | −0.349669 | + | 2.97955i | −0.0412089 | + | 0.351144i | ||||
\(73\) | 3.17204 | + | 0.849946i | 0.371259 | + | 0.0994786i | 0.439624 | − | 0.898182i | \(-0.355112\pi\) |
−0.0683650 | + | 0.997660i | \(0.521778\pi\) | |||||||
\(74\) | −2.50199 | − | 4.33358i | −0.290851 | − | 0.503768i | ||||
\(75\) | −2.83322 | − | 8.18369i | −0.327152 | − | 0.944972i | ||||
\(76\) | 4.32939 | 0.496615 | ||||||||
\(77\) | 1.81384 | + | 4.17808i | 0.206706 | + | 0.476136i | ||||
\(78\) | −2.35381 | − | 3.46961i | −0.266517 | − | 0.392856i | ||||
\(79\) | −2.97847 | − | 1.71962i | −0.335104 | − | 0.193472i | 0.323001 | − | 0.946399i | \(-0.395308\pi\) |
−0.658105 | + | 0.752926i | \(0.728642\pi\) | |||||||
\(80\) | 1.36035 | + | 1.77467i | 0.152091 | + | 0.198414i | ||||
\(81\) | −2.08371 | + | 8.75546i | −0.231524 | + | 0.972829i | ||||
\(82\) | −5.57089 | + | 1.49272i | −0.615202 | + | 0.164843i | ||||
\(83\) | −1.66979 | − | 1.66979i | −0.183283 | − | 0.183283i | 0.609502 | − | 0.792785i | \(-0.291370\pi\) |
−0.792785 | + | 0.609502i | \(0.791370\pi\) | |||||||
\(84\) | 0.190259 | − | 4.57862i | 0.0207590 | − | 0.499569i | ||||
\(85\) | 3.37612 | − | 4.39529i | 0.366191 | − | 0.476736i | ||||
\(86\) | 1.63304 | + | 0.942836i | 0.176095 | + | 0.101669i | ||||
\(87\) | 5.44236 | + | 2.63641i | 0.583482 | + | 0.282653i | ||||
\(88\) | 1.66290 | + | 0.445572i | 0.177266 | + | 0.0474981i | ||||
\(89\) | −1.63686 | + | 2.83513i | −0.173507 | + | 0.300523i | −0.939644 | − | 0.342155i | \(-0.888843\pi\) |
0.766136 | + | 0.642678i | \(0.222177\pi\) | |||||||
\(90\) | 3.43267 | + | 5.76340i | 0.361835 | + | 0.607516i | ||||
\(91\) | 3.98398 | + | 5.01444i | 0.417635 | + | 0.525656i | ||||
\(92\) | −5.39249 | + | 5.39249i | −0.562206 | + | 0.562206i | ||||
\(93\) | −0.688911 | − | 9.48704i | −0.0714367 | − | 0.983760i | ||||
\(94\) | 5.24039 | − | 3.02554i | 0.540505 | − | 0.312060i | ||||
\(95\) | 7.68325 | − | 5.88947i | 0.788285 | − | 0.604247i | ||||
\(96\) | −1.31023 | − | 1.13283i | −0.133725 | − | 0.115619i | ||||
\(97\) | 11.1959 | + | 11.1959i | 1.13678 | + | 1.13678i | 0.989025 | + | 0.147751i | \(0.0472033\pi\) |
0.147751 | + | 0.989025i | \(0.452797\pi\) | |||||||
\(98\) | 0.236290 | + | 6.99601i | 0.0238689 | + | 0.706704i | ||||
\(99\) | 4.79889 | + | 1.90907i | 0.482306 | + | 0.191869i | ||||
\(100\) | 4.82833 | + | 1.29892i | 0.482833 | + | 0.129892i | ||||
\(101\) | 6.85108 | − | 3.95547i | 0.681707 | − | 0.393584i | −0.118791 | − | 0.992919i | \(-0.537902\pi\) |
0.800498 | + | 0.599335i | \(0.204568\pi\) | |||||||
\(102\) | −1.87161 | + | 3.86357i | −0.185317 | + | 0.382550i | ||||
\(103\) | 3.57231 | + | 13.3320i | 0.351990 | + | 1.31364i | 0.884230 | + | 0.467051i | \(0.154684\pi\) |
−0.532241 | + | 0.846593i | \(0.678650\pi\) | |||||||
\(104\) | 2.42065 | 0.237364 | ||||||||
\(105\) | −5.89086 | − | 8.38438i | −0.574889 | − | 0.818231i | ||||
\(106\) | 13.5970 | 1.32066 | ||||||||
\(107\) | −5.24240 | − | 19.5649i | −0.506802 | − | 1.89141i | −0.450008 | − | 0.893024i | \(-0.648579\pi\) |
−0.0567934 | − | 0.998386i | \(-0.518088\pi\) | |||||||
\(108\) | −3.50779 | − | 3.83346i | −0.337537 | − | 0.368875i | ||||
\(109\) | 6.61391 | − | 3.81854i | 0.633497 | − | 0.365750i | −0.148608 | − | 0.988896i | \(-0.547479\pi\) |
0.782105 | + | 0.623146i | \(0.214146\pi\) | |||||||
\(110\) | 3.55723 | − | 1.47137i | 0.339169 | − | 0.140290i | ||||
\(111\) | 8.51232 | + | 1.63100i | 0.807953 | + | 0.154808i | ||||
\(112\) | 2.12590 | + | 1.57497i | 0.200879 | + | 0.148821i | ||||
\(113\) | 4.50613 | + | 4.50613i | 0.423901 | + | 0.423901i | 0.886545 | − | 0.462643i | \(-0.153099\pi\) |
−0.462643 | + | 0.886545i | \(0.653099\pi\) | |||||||
\(114\) | −4.90445 | + | 5.67251i | −0.459344 | + | 0.531279i | ||||
\(115\) | −2.23425 | + | 16.9055i | −0.208345 | + | 1.57645i | ||||
\(116\) | −3.02365 | + | 1.74571i | −0.280739 | + | 0.162085i | ||||
\(117\) | 7.21244 | + | 0.846425i | 0.666791 | + | 0.0782520i | ||||
\(118\) | −7.71048 | + | 7.71048i | −0.709807 | + | 0.709807i | ||||
\(119\) | 2.40690 | − | 6.10003i | 0.220640 | − | 0.559188i | ||||
\(120\) | −3.86626 | − | 0.228028i | −0.352940 | − | 0.0208160i | ||||
\(121\) | −4.01812 | + | 6.95958i | −0.365283 | + | 0.632690i | ||||
\(122\) | 8.15997 | + | 2.18646i | 0.738769 | + | 0.197953i | ||||
\(123\) | 4.35505 | − | 8.99014i | 0.392681 | − | 0.810613i | ||||
\(124\) | 4.75601 | + | 2.74588i | 0.427102 | + | 0.246588i | ||||
\(125\) | 10.3357 | − | 4.26304i | 0.924452 | − | 0.381298i | ||||
\(126\) | 5.78353 | + | 5.43607i | 0.515237 | + | 0.484283i | ||||
\(127\) | −3.77174 | − | 3.77174i | −0.334688 | − | 0.334688i | 0.519676 | − | 0.854364i | \(-0.326053\pi\) |
−0.854364 | + | 0.519676i | \(0.826053\pi\) | |||||||
\(128\) | 0.965926 | − | 0.258819i | 0.0853766 | − | 0.0228766i | ||||
\(129\) | −3.08528 | + | 1.07159i | −0.271644 | + | 0.0943483i | ||||
\(130\) | 4.29585 | − | 3.29292i | 0.376771 | − | 0.288808i | ||||
\(131\) | −8.66142 | − | 5.00068i | −0.756752 | − | 0.436911i | 0.0713763 | − | 0.997449i | \(-0.477261\pi\) |
−0.828128 | + | 0.560538i | \(0.810594\pi\) | |||||||
\(132\) | −2.46758 | + | 1.67402i | −0.214775 | + | 0.145705i | ||||
\(133\) | 6.81866 | − | 9.20388i | 0.591253 | − | 0.798077i | ||||
\(134\) | −13.6951 | −1.18307 | ||||||||
\(135\) | −11.4400 | − | 2.03133i | −0.984599 | − | 0.174829i | ||||
\(136\) | −1.23929 | − | 2.14651i | −0.106268 | − | 0.184062i | ||||
\(137\) | −2.39345 | − | 0.641324i | −0.204487 | − | 0.0547920i | 0.155122 | − | 0.987895i | \(-0.450423\pi\) |
−0.359608 | + | 0.933103i | \(0.617090\pi\) | |||||||
\(138\) | −0.956654 | − | 13.1742i | −0.0814358 | − | 1.12146i | ||||
\(139\) | − | 3.57912i | − | 0.303577i | −0.988413 | − | 0.151788i | \(-0.951497\pi\) | ||
0.988413 | − | 0.151788i | \(-0.0485033\pi\) | |||||||
\(140\) | 5.91529 | − | 0.0969085i | 0.499933 | − | 0.00819027i | ||||
\(141\) | −1.97229 | + | 10.2935i | −0.166097 | + | 0.866871i | ||||
\(142\) | −10.5407 | + | 2.82436i | −0.884552 | + | 0.237015i | ||||
\(143\) | 1.07857 | − | 4.02529i | 0.0901948 | − | 0.336612i | ||||
\(144\) | 2.96853 | − | 0.433411i | 0.247377 | − | 0.0361176i | ||||
\(145\) | −2.99123 | + | 7.21127i | −0.248408 | + | 0.598863i | ||||
\(146\) | − | 3.28394i | − | 0.271781i | ||||||
\(147\) | −9.43407 | − | 7.61567i | −0.778109 | − | 0.628130i | ||||
\(148\) | −3.53835 | + | 3.53835i | −0.290851 | + | 0.290851i | ||||
\(149\) | −6.70402 | + | 11.6117i | −0.549215 | + | 0.951268i | 0.449114 | + | 0.893475i | \(0.351740\pi\) |
−0.998329 | + | 0.0577936i | \(0.981593\pi\) | |||||||
\(150\) | −7.17155 | + | 4.85478i | −0.585555 | + | 0.396391i | ||||
\(151\) | −2.73907 | − | 4.74421i | −0.222903 | − | 0.386078i | 0.732786 | − | 0.680460i | \(-0.238220\pi\) |
−0.955688 | + | 0.294381i | \(0.904886\pi\) | |||||||
\(152\) | −1.12053 | − | 4.18187i | −0.0908869 | − | 0.339195i | ||||
\(153\) | −2.94196 | − | 6.82899i | −0.237843 | − | 0.552091i | ||||
\(154\) | 3.56626 | − | 2.83340i | 0.287377 | − | 0.228322i | ||||
\(155\) | 12.1757 | − | 1.59677i | 0.977976 | − | 0.128256i | ||||
\(156\) | −2.74217 | + | 3.17161i | −0.219549 | + | 0.253932i | ||||
\(157\) | 2.85955 | − | 10.6720i | 0.228217 | − | 0.851718i | −0.752873 | − | 0.658166i | \(-0.771333\pi\) |
0.981090 | − | 0.193552i | \(-0.0620008\pi\) | |||||||
\(158\) | −0.890141 | + | 3.32205i | −0.0708158 | + | 0.264288i | ||||
\(159\) | −15.4031 | + | 17.8153i | −1.22154 | + | 1.41284i | ||||
\(160\) | 1.36212 | − | 1.77331i | 0.107685 | − | 0.140193i | ||||
\(161\) | 2.97091 | + | 19.9569i | 0.234140 | + | 1.57283i | ||||
\(162\) | 8.99643 | − | 0.253368i | 0.706827 | − | 0.0199065i | ||||
\(163\) | 1.28791 | + | 4.80653i | 0.100877 | + | 0.376476i | 0.997845 | − | 0.0656186i | \(-0.0209021\pi\) |
−0.896968 | + | 0.442095i | \(0.854235\pi\) | |||||||
\(164\) | 2.88370 | + | 4.99472i | 0.225179 | + | 0.390022i | ||||
\(165\) | −2.10189 | + | 6.32760i | −0.163632 | + | 0.492603i | ||||
\(166\) | −1.18072 | + | 2.04507i | −0.0916417 | + | 0.158728i | ||||
\(167\) | −12.6740 | + | 12.6740i | −0.980742 | + | 0.980742i | −0.999818 | − | 0.0190761i | \(-0.993928\pi\) |
0.0190761 | + | 0.999818i | \(0.493928\pi\) | |||||||
\(168\) | −4.47185 | + | 1.00126i | −0.345011 | + | 0.0772488i | ||||
\(169\) | 7.14047i | 0.549267i | ||||||||
\(170\) | −5.11933 | − | 2.12349i | −0.392635 | − | 0.162865i | ||||
\(171\) | −1.87640 | − | 12.8519i | −0.143492 | − | 0.982811i | ||||
\(172\) | 0.488048 | − | 1.82142i | 0.0372133 | − | 0.138882i | ||||
\(173\) | −7.46147 | + | 1.99929i | −0.567285 | + | 0.152004i | −0.531051 | − | 0.847340i | \(-0.678203\pi\) |
−0.0362338 | + | 0.999343i | \(0.511536\pi\) | |||||||
\(174\) | 1.13799 | − | 5.93926i | 0.0862710 | − | 0.450255i | ||||
\(175\) | 10.3659 | − | 8.21881i | 0.783586 | − | 0.621284i | ||||
\(176\) | − | 1.72156i | − | 0.129767i | ||||||
\(177\) | −1.36788 | − | 18.8371i | −0.102816 | − | 1.41589i | ||||
\(178\) | 3.16218 | + | 0.847304i | 0.237015 | + | 0.0635081i | ||||
\(179\) | −1.78392 | − | 3.08984i | −0.133336 | − | 0.230945i | 0.791624 | − | 0.611008i | \(-0.209236\pi\) |
−0.924961 | + | 0.380063i | \(0.875902\pi\) | |||||||
\(180\) | 4.67857 | − | 4.80738i | 0.348720 | − | 0.358321i | ||||
\(181\) | −22.4506 | −1.66874 | −0.834371 | − | 0.551203i | \(-0.814169\pi\) | ||||
−0.834371 | + | 0.551203i | \(0.814169\pi\) | |||||||
\(182\) | 3.81245 | − | 5.14606i | 0.282597 | − | 0.381452i | ||||
\(183\) | −12.1086 | + | 8.21457i | −0.895093 | + | 0.607239i | ||||
\(184\) | 6.60442 | + | 3.81306i | 0.486884 | + | 0.281103i | ||||
\(185\) | −1.46604 | + | 11.0928i | −0.107785 | + | 0.815559i | ||||
\(186\) | −8.98547 | + | 3.12086i | −0.658847 | + | 0.228833i | ||||
\(187\) | −4.12162 | + | 1.10439i | −0.301403 | + | 0.0807607i | ||||
\(188\) | −4.27876 | − | 4.27876i | −0.312060 | − | 0.312060i | ||||
\(189\) | −13.6742 | + | 1.41964i | −0.994654 | + | 0.103263i | ||||
\(190\) | −7.67736 | − | 5.89715i | −0.556974 | − | 0.427824i | ||||
\(191\) | 20.0377 | + | 11.5688i | 1.44988 | + | 0.837088i | 0.998474 | − | 0.0552306i | \(-0.0175894\pi\) |
0.451406 | + | 0.892319i | \(0.350923\pi\) | |||||||
\(192\) | −0.755113 | + | 1.55878i | −0.0544956 | + | 0.112495i | ||||
\(193\) | −15.5358 | − | 4.16280i | −1.11829 | − | 0.299645i | −0.348099 | − | 0.937458i | \(-0.613173\pi\) |
−0.770191 | + | 0.637813i | \(0.779839\pi\) | |||||||
\(194\) | 7.91672 | − | 13.7122i | 0.568388 | − | 0.984476i | ||||
\(195\) | −0.551976 | + | 9.35886i | −0.0395278 | + | 0.670202i | ||||
\(196\) | 6.69647 | − | 2.03894i | 0.478319 | − | 0.145639i | ||||
\(197\) | 4.51365 | − | 4.51365i | 0.321584 | − | 0.321584i | −0.527791 | − | 0.849375i | \(-0.676979\pi\) |
0.849375 | + | 0.527791i | \(0.176979\pi\) | |||||||
\(198\) | 0.601976 | − | 5.12947i | 0.0427805 | − | 0.364536i | ||||
\(199\) | 1.87390 | − | 1.08190i | 0.132837 | − | 0.0766936i | −0.432109 | − | 0.901821i | \(-0.642230\pi\) |
0.564946 | + | 0.825128i | \(0.308897\pi\) | |||||||
\(200\) | 0.00499778 | − | 5.00000i | 0.000353396 | − | 0.353553i | ||||
\(201\) | 15.5141 | − | 17.9437i | 1.09428 | − | 1.26565i | ||||
\(202\) | −5.59388 | − | 5.59388i | −0.393584 | − | 0.393584i | ||||
\(203\) | −1.05096 | + | 9.17743i | −0.0737627 | + | 0.644129i | ||||
\(204\) | 4.21633 | + | 0.807869i | 0.295202 | + | 0.0565622i | ||||
\(205\) | 11.9122 | + | 4.94116i | 0.831983 | + | 0.345106i | ||||
\(206\) | 11.9532 | − | 6.90117i | 0.832817 | − | 0.480827i | ||||
\(207\) | 18.3449 | + | 13.6706i | 1.27506 | + | 0.950171i | ||||
\(208\) | −0.626510 | − | 2.33817i | −0.0434406 | − | 0.162123i | ||||
\(209\) | −7.45330 | −0.515556 | ||||||||
\(210\) | −6.57402 | + | 7.86017i | −0.453650 | + | 0.542403i | ||||
\(211\) | 8.92286 | 0.614275 | 0.307138 | − | 0.951665i | \(-0.400629\pi\) | ||||
0.307138 | + | 0.951665i | \(0.400629\pi\) | |||||||
\(212\) | −3.51917 | − | 13.1337i | −0.241698 | − | 0.902028i | ||||
\(213\) | 8.24016 | − | 17.0102i | 0.564607 | − | 1.16552i | ||||
\(214\) | −17.5414 | + | 10.1275i | −1.19911 | + | 0.692304i | ||||
\(215\) | −1.61163 | − | 3.89634i | −0.109913 | − | 0.265728i | ||||
\(216\) | −2.79496 | + | 4.38044i | −0.190173 | + | 0.298051i | ||||
\(217\) | 13.3281 | − | 5.78614i | 0.904767 | − | 0.392788i | ||||
\(218\) | −5.40023 | − | 5.40023i | −0.365750 | − | 0.365750i | ||||
\(219\) | 4.30272 | + | 3.72013i | 0.290751 | + | 0.251383i | ||||
\(220\) | −2.34191 | − | 3.05520i | −0.157892 | − | 0.205982i | ||||
\(221\) | −5.19595 | + | 2.99988i | −0.349517 | + | 0.201794i | ||||
\(222\) | −0.627722 | − | 8.64440i | −0.0421299 | − | 0.580174i | ||||
\(223\) | 4.95541 | − | 4.95541i | 0.331839 | − | 0.331839i | −0.521446 | − | 0.853284i | \(-0.674607\pi\) |
0.853284 | + | 0.521446i | \(0.174607\pi\) | |||||||
\(224\) | 0.971080 | − | 2.46110i | 0.0648830 | − | 0.164439i | ||||
\(225\) | 1.76323 | − | 14.8960i | 0.117549 | − | 0.993067i | ||||
\(226\) | 3.18632 | − | 5.51886i | 0.211951 | − | 0.367109i | ||||
\(227\) | −23.5933 | − | 6.32181i | −1.56594 | − | 0.419593i | −0.631404 | − | 0.775454i | \(-0.717521\pi\) |
−0.934539 | + | 0.355862i | \(0.884187\pi\) | |||||||
\(228\) | 6.74858 | + | 3.26918i | 0.446936 | + | 0.216507i | ||||
\(229\) | 1.56910 | + | 0.905917i | 0.103689 | + | 0.0598647i | 0.550948 | − | 0.834540i | \(-0.314266\pi\) |
−0.447259 | + | 0.894405i | \(0.647600\pi\) | |||||||
\(230\) | 16.9078 | − | 2.21735i | 1.11486 | − | 0.146208i | ||||
\(231\) | −0.327542 | + | 7.88237i | −0.0215507 | + | 0.518622i | ||||
\(232\) | 2.46880 | + | 2.46880i | 0.162085 | + | 0.162085i | ||||
\(233\) | −1.82119 | + | 0.487986i | −0.119310 | + | 0.0319690i | −0.317980 | − | 0.948097i | \(-0.603004\pi\) |
0.198670 | + | 0.980066i | \(0.436338\pi\) | |||||||
\(234\) | −1.04913 | − | 7.18576i | −0.0685840 | − | 0.469748i | ||||
\(235\) | −13.4140 | − | 1.77280i | −0.875031 | − | 0.115645i | ||||
\(236\) | 9.44337 | + | 5.45213i | 0.614711 | + | 0.354904i | ||||
\(237\) | −3.34428 | − | 4.92960i | −0.217234 | − | 0.320212i | ||||
\(238\) | −6.51512 | − | 0.746081i | −0.422313 | − | 0.0483613i | ||||
\(239\) | −7.33694 | −0.474587 | −0.237294 | − | 0.971438i | \(-0.576260\pi\) | ||||
−0.237294 | + | 0.971438i | \(0.576260\pi\) | |||||||
\(240\) | 0.780405 | + | 3.79354i | 0.0503749 | + | 0.244872i | ||||
\(241\) | 7.03912 | + | 12.1921i | 0.453430 | + | 0.785363i | 0.998596 | − | 0.0529643i | \(-0.0168669\pi\) |
−0.545167 | + | 0.838328i | \(0.683534\pi\) | |||||||
\(242\) | 7.76241 | + | 2.07993i | 0.498987 | + | 0.133703i | ||||
\(243\) | −9.85942 | + | 12.0744i | −0.632482 | + | 0.774575i | ||||
\(244\) | − | 8.44783i | − | 0.540817i | ||||||
\(245\) | 9.11038 | − | 12.7280i | 0.582041 | − | 0.813160i | ||||
\(246\) | −9.81098 | − | 1.87983i | −0.625525 | − | 0.119854i | ||||
\(247\) | −10.1228 | + | 2.71241i | −0.644101 | + | 0.172586i | ||||
\(248\) | 1.42137 | − | 5.30464i | 0.0902573 | − | 0.336845i | ||||
\(249\) | −1.34196 | − | 3.86372i | −0.0850433 | − | 0.244853i | ||||
\(250\) | −6.79285 | − | 8.88015i | −0.429618 | − | 0.561630i | ||||
\(251\) | 23.2410i | 1.46696i | 0.679711 | + | 0.733480i | \(0.262105\pi\) | ||||
−0.679711 | + | 0.733480i | \(0.737895\pi\) | |||||||
\(252\) | 3.75395 | − | 6.99341i | 0.236477 | − | 0.440544i | ||||
\(253\) | 9.28348 | − | 9.28348i | 0.583647 | − | 0.583647i | ||||
\(254\) | −2.66703 | + | 4.61942i | −0.167344 | + | 0.289848i | ||||
\(255\) | 8.58158 | − | 4.30196i | 0.537399 | − | 0.269399i | ||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | 3.91483 | + | 14.6104i | 0.244201 | + | 0.911369i | 0.973784 | + | 0.227477i | \(0.0730476\pi\) |
−0.729583 | + | 0.683892i | \(0.760286\pi\) | |||||||
\(258\) | 1.83361 | + | 2.70281i | 0.114155 | + | 0.168269i | ||||
\(259\) | 1.94940 | + | 13.0950i | 0.121130 | + | 0.813684i | ||||
\(260\) | −4.29256 | − | 3.29721i | −0.266213 | − | 0.204484i | ||||
\(261\) | 6.49266 | + | 8.21919i | 0.401886 | + | 0.508755i | ||||
\(262\) | −2.58854 | + | 9.66056i | −0.159921 | + | 0.596832i | ||||
\(263\) | −3.46268 | + | 12.9229i | −0.213518 | + | 0.796859i | 0.773165 | + | 0.634205i | \(0.218672\pi\) |
−0.986683 | + | 0.162655i | \(0.947994\pi\) | |||||||
\(264\) | 2.25564 | + | 1.95023i | 0.138825 | + | 0.120028i | ||||
\(265\) | −24.1118 | − | 18.5208i | −1.48117 | − | 1.13772i | ||||
\(266\) | −10.6551 | − | 4.20419i | −0.653304 | − | 0.257775i | ||||
\(267\) | −4.69236 | + | 3.18334i | −0.287168 | + | 0.194817i | ||||
\(268\) | 3.54455 | + | 13.2284i | 0.216518 | + | 0.808055i | ||||
\(269\) | 1.71727 | + | 2.97440i | 0.104704 | + | 0.181352i | 0.913617 | − | 0.406576i | \(-0.133277\pi\) |
−0.808913 | + | 0.587928i | \(0.799944\pi\) | |||||||
\(270\) | 0.998772 | + | 11.5759i | 0.0607833 | + | 0.704489i | ||||
\(271\) | 7.63352 | − | 13.2217i | 0.463704 | − | 0.803158i | −0.535438 | − | 0.844574i | \(-0.679854\pi\) |
0.999142 | + | 0.0414162i | \(0.0131870\pi\) | |||||||
\(272\) | −1.75262 | + | 1.75262i | −0.106268 | + | 0.106268i | ||||
\(273\) | 2.42369 | + | 10.8248i | 0.146689 | + | 0.655145i | ||||
\(274\) | 2.47789i | 0.149695i | ||||||||
\(275\) | −8.31226 | − | 2.23617i | −0.501248 | − | 0.134846i | ||||
\(276\) | −12.4777 | + | 4.33378i | −0.751066 | + | 0.260863i | ||||
\(277\) | −8.14417 | + | 30.3945i | −0.489336 | + | 1.82623i | 0.0703507 | + | 0.997522i | \(0.477588\pi\) |
−0.559687 | + | 0.828704i | \(0.689079\pi\) | |||||||
\(278\) | −3.45716 | + | 0.926344i | −0.207347 | + | 0.0555584i | ||||
\(279\) | 6.08992 | − | 15.3084i | 0.364594 | − | 0.916492i | ||||
\(280\) | −1.62460 | − | 5.68865i | −0.0970881 | − | 0.339962i | ||||
\(281\) | − | 6.72535i | − | 0.401201i | −0.979673 | − | 0.200600i | \(-0.935711\pi\) | ||
0.979673 | − | 0.200600i | \(-0.0642893\pi\) | |||||||
\(282\) | 10.4532 | − | 0.759073i | 0.622482 | − | 0.0452021i | ||||
\(283\) | −1.09393 | − | 0.293117i | −0.0650272 | − | 0.0174240i | 0.226159 | − | 0.974090i | \(-0.427383\pi\) |
−0.291186 | + | 0.956666i | \(0.594050\pi\) | |||||||
\(284\) | 5.45624 | + | 9.45049i | 0.323768 | + | 0.560783i | ||||
\(285\) | 16.4237 | − | 3.37868i | 0.972858 | − | 0.200136i | ||||
\(286\) | −4.16729 | −0.246417 | ||||||||
\(287\) | 15.1601 | + | 1.73606i | 0.894870 | + | 0.102476i | ||||
\(288\) | −1.18695 | − | 2.75520i | −0.0699419 | − | 0.162352i | ||||
\(289\) | −9.40213 | − | 5.42832i | −0.553067 | − | 0.319313i | ||||
\(290\) | 7.73974 | + | 1.02289i | 0.454493 | + | 0.0600662i | ||||
\(291\) | 8.99784 | + | 25.9062i | 0.527463 | + | 1.51865i | ||||
\(292\) | −3.17204 | + | 0.849946i | −0.185630 | + | 0.0497393i | ||||
\(293\) | −23.0536 | − | 23.0536i | −1.34680 | − | 1.34680i | −0.889110 | − | 0.457694i | \(-0.848676\pi\) |
−0.457694 | − | 0.889110i | \(-0.651324\pi\) | |||||||
\(294\) | −4.91446 | + | 11.0837i | −0.286617 | + | 0.646414i | ||||
\(295\) | 24.1757 | − | 3.17050i | 1.40756 | − | 0.184593i | ||||
\(296\) | 4.33358 | + | 2.50199i | 0.251884 | + | 0.145425i | ||||
\(297\) | 6.03886 | + | 6.59953i | 0.350410 | + | 0.382943i | ||||
\(298\) | 12.9512 | + | 3.47026i | 0.750242 | + | 0.201027i | ||||
\(299\) | 9.23008 | − | 15.9870i | 0.533789 | − | 0.924550i | ||||
\(300\) | 6.54549 | + | 5.67068i | 0.377904 | + | 0.327397i | ||||
\(301\) | −3.10350 | − | 3.90623i | −0.178883 | − | 0.225151i | ||||
\(302\) | −3.87363 | + | 3.87363i | −0.222903 | + | 0.222903i | ||||
\(303\) | 13.6662 | − | 0.992382i | 0.785101 | − | 0.0570109i | ||||
\(304\) | −3.74936 | + | 2.16470i | −0.215041 | + | 0.124154i | ||||
\(305\) | −11.4920 | − | 14.9921i | −0.658028 | − | 0.858446i | ||||
\(306\) | −5.83486 | + | 4.60919i | −0.333557 | + | 0.263490i | ||||
\(307\) | −6.95926 | − | 6.95926i | −0.397186 | − | 0.397186i | 0.480054 | − | 0.877239i | \(-0.340617\pi\) |
−0.877239 | + | 0.480054i | \(0.840617\pi\) | |||||||
\(308\) | −3.65987 | − | 2.71140i | −0.208540 | − | 0.154497i | ||||
\(309\) | −4.49874 | + | 23.4792i | −0.255924 | + | 1.33569i | ||||
\(310\) | −4.69367 | − | 11.3475i | −0.266582 | − | 0.644498i | ||||
\(311\) | −7.67936 | + | 4.43368i | −0.435457 | + | 0.251411i | −0.701669 | − | 0.712503i | \(-0.747561\pi\) |
0.266212 | + | 0.963915i | \(0.414228\pi\) | |||||||
\(312\) | 3.77326 | + | 1.82786i | 0.213619 | + | 0.103482i | ||||
\(313\) | −1.49927 | − | 5.59536i | −0.0847439 | − | 0.316269i | 0.910522 | − | 0.413461i | \(-0.135680\pi\) |
−0.995266 | + | 0.0971927i | \(0.969014\pi\) | |||||||
\(314\) | −11.0485 | −0.623501 | ||||||||
\(315\) | −2.85142 | − | 17.5177i | −0.160660 | − | 0.987010i | ||||
\(316\) | 3.43924 | 0.193472 | ||||||||
\(317\) | −1.09948 | − | 4.10330i | −0.0617527 | − | 0.230464i | 0.928151 | − | 0.372203i | \(-0.121397\pi\) |
−0.989904 | + | 0.141739i | \(0.954731\pi\) | |||||||
\(318\) | 21.1948 | + | 10.2673i | 1.18855 | + | 0.575762i | ||||
\(319\) | 5.20539 | − | 3.00534i | 0.291446 | − | 0.168267i | ||||
\(320\) | −2.06543 | − | 0.856739i | −0.115461 | − | 0.0478931i | ||||
\(321\) | 6.60195 | − | 34.4560i | 0.368485 | − | 1.92315i | ||||
\(322\) | 18.5080 | − | 8.03490i | 1.03141 | − | 0.447768i | ||||
\(323\) | 7.58778 | + | 7.58778i | 0.422195 | + | 0.422195i | ||||
\(324\) | −2.57318 | − | 8.62431i | −0.142955 | − | 0.479128i | ||||
\(325\) | −12.1032 | − | 0.0120979i | −0.671366 | − | 0.000671068i | ||||
\(326\) | 4.30942 | − | 2.48804i | 0.238677 | − | 0.137800i | ||||
\(327\) | 13.1931 | − | 0.958028i | 0.729579 | − | 0.0529791i | ||||
\(328\) | 4.07817 | − | 4.07817i | 0.225179 | − | 0.225179i | ||||
\(329\) | −15.8351 | + | 2.35731i | −0.873020 | + | 0.129963i | ||||
\(330\) | 6.65600 | + | 0.392564i | 0.366401 | + | 0.0216099i | ||||
\(331\) | −2.70453 | + | 4.68438i | −0.148654 | + | 0.257477i | −0.930730 | − | 0.365706i | \(-0.880828\pi\) |
0.782076 | + | 0.623183i | \(0.214161\pi\) | |||||||
\(332\) | 2.28098 | + | 0.611186i | 0.125185 | + | 0.0335432i | ||||
\(333\) | 12.0373 | + | 8.97014i | 0.659638 | + | 0.491561i | ||||
\(334\) | 15.5224 | + | 8.96186i | 0.849347 | + | 0.490371i | ||||
\(335\) | 24.2856 | + | 18.6543i | 1.32687 | + | 1.01919i | ||||
\(336\) | 2.12454 | + | 4.06033i | 0.115903 | + | 0.221509i | ||||
\(337\) | 10.8084 | + | 10.8084i | 0.588773 | + | 0.588773i | 0.937299 | − | 0.348526i | \(-0.113318\pi\) |
−0.348526 | + | 0.937299i | \(0.613318\pi\) | |||||||
\(338\) | 6.89716 | − | 1.84809i | 0.375156 | − | 0.100523i | ||||
\(339\) | 3.62144 | + | 10.4267i | 0.196690 | + | 0.566302i | ||||
\(340\) | −0.726158 | + | 5.49449i | −0.0393814 | + | 0.297981i | ||||
\(341\) | −8.18775 | − | 4.72720i | −0.443391 | − | 0.255992i | ||||
\(342\) | −11.9284 | + | 5.13879i | −0.645012 | + | 0.277874i | ||||
\(343\) | 6.21215 | − | 17.4473i | 0.335425 | − | 0.942067i | ||||
\(344\) | −1.88567 | −0.101669 | ||||||||
\(345\) | −16.2483 | + | 24.6649i | −0.874779 | + | 1.32792i | ||||
\(346\) | 3.86234 | + | 6.68977i | 0.207641 | + | 0.359644i | ||||
\(347\) | 21.2748 | + | 5.70057i | 1.14209 | + | 0.306023i | 0.779792 | − | 0.626039i | \(-0.215325\pi\) |
0.362300 | + | 0.932061i | \(0.381991\pi\) | |||||||
\(348\) | −6.03142 | + | 0.437978i | −0.323318 | + | 0.0234781i | ||||
\(349\) | − | 1.21120i | − | 0.0648340i | −0.999474 | − | 0.0324170i | \(-0.989680\pi\) | ||
0.999474 | − | 0.0324170i | \(-0.0103205\pi\) | |||||||
\(350\) | −10.6216 | − | 7.88547i | −0.567751 | − | 0.421496i | ||||
\(351\) | 10.6035 | + | 6.76560i | 0.565972 | + | 0.361121i | ||||
\(352\) | −1.66290 | + | 0.445572i | −0.0886328 | + | 0.0237491i | ||||
\(353\) | −3.46790 | + | 12.9424i | −0.184578 | + | 0.688854i | 0.810143 | + | 0.586233i | \(0.199390\pi\) |
−0.994721 | + | 0.102621i | \(0.967277\pi\) | |||||||
\(354\) | −17.8413 | + | 6.19668i | −0.948252 | + | 0.329350i | ||||
\(355\) | 22.5390 | + | 9.34915i | 1.19624 | + | 0.496201i | ||||
\(356\) | − | 3.27373i | − | 0.173507i | ||||||
\(357\) | 8.35804 | − | 7.69114i | 0.442354 | − | 0.407058i | ||||
\(358\) | −2.52284 | + | 2.52284i | −0.133336 | + | 0.133336i | ||||
\(359\) | −6.11095 | + | 10.5845i | −0.322523 | + | 0.558627i | −0.981008 | − | 0.193967i | \(-0.937864\pi\) |
0.658485 | + | 0.752594i | \(0.271198\pi\) | |||||||
\(360\) | −5.85448 | − | 3.27491i | −0.308558 | − | 0.172603i | ||||
\(361\) | −0.128177 | − | 0.222010i | −0.00674618 | − | 0.0116847i | ||||
\(362\) | 5.81065 | + | 21.6857i | 0.305401 | + | 1.13977i | ||||
\(363\) | −11.5186 | + | 7.81435i | −0.604572 | + | 0.410147i | ||||
\(364\) | −5.95745 | − | 2.35064i | −0.312255 | − | 0.123207i | ||||
\(365\) | −4.47311 | + | 5.82345i | −0.234133 | + | 0.304813i | ||||
\(366\) | 11.0686 | + | 9.56992i | 0.578565 | + | 0.500228i | ||||
\(367\) | −4.12585 | + | 15.3979i | −0.215368 | + | 0.803762i | 0.770669 | + | 0.637235i | \(0.219922\pi\) |
−0.986037 | + | 0.166527i | \(0.946745\pi\) | |||||||
\(368\) | 1.97379 | − | 7.36627i | 0.102891 | − | 0.383994i | ||||
\(369\) | 13.5771 | − | 10.7251i | 0.706798 | − | 0.558328i | ||||
\(370\) | 11.0943 | − | 1.45495i | 0.576763 | − | 0.0756391i | ||||
\(371\) | −33.4636 | − | 13.2038i | −1.73735 | − | 0.685507i | ||||
\(372\) | 5.34013 | + | 7.87156i | 0.276873 | + | 0.408121i | ||||
\(373\) | −5.63264 | − | 21.0213i | −0.291647 | − | 1.08844i | −0.943844 | − | 0.330392i | \(-0.892819\pi\) |
0.652196 | − | 0.758050i | \(-0.273848\pi\) | |||||||
\(374\) | 2.13351 | + | 3.69535i | 0.110321 | + | 0.191082i | ||||
\(375\) | 19.3302 | + | 1.15946i | 0.998206 | + | 0.0598744i | ||||
\(376\) | −3.02554 | + | 5.24039i | −0.156030 | + | 0.270252i | ||||
\(377\) | 5.97610 | − | 5.97610i | 0.307785 | − | 0.307785i | ||||
\(378\) | 4.91041 | + | 12.8409i | 0.252564 | + | 0.660463i | ||||
\(379\) | − | 20.0870i | − | 1.03180i | −0.856649 | − | 0.515900i | \(-0.827457\pi\) | ||
0.856649 | − | 0.515900i | \(-0.172543\pi\) | |||||||
\(380\) | −3.70916 | + | 8.94206i | −0.190276 | + | 0.458718i | ||||
\(381\) | −3.03124 | − | 8.72742i | −0.155295 | − | 0.447119i | ||||
\(382\) | 5.98845 | − | 22.3492i | 0.306396 | − | 1.14348i | ||||
\(383\) | −0.353827 | + | 0.0948076i | −0.0180797 | + | 0.00484444i | −0.267848 | − | 0.963461i | \(-0.586312\pi\) |
0.249768 | + | 0.968306i | \(0.419646\pi\) | |||||||
\(384\) | 1.70111 | + | 0.325941i | 0.0868092 | + | 0.0166331i | ||||
\(385\) | −10.1835 | + | 0.166834i | −0.519000 | + | 0.00850263i | ||||
\(386\) | 16.0838i | 0.818645i | ||||||||
\(387\) | −5.61846 | − | 0.659361i | −0.285602 | − | 0.0335172i | ||||
\(388\) | −15.2939 | − | 4.09800i | −0.776432 | − | 0.208044i | ||||
\(389\) | −6.65686 | − | 11.5300i | −0.337516 | − | 0.584595i | 0.646449 | − | 0.762958i | \(-0.276253\pi\) |
−0.983965 | + | 0.178362i | \(0.942920\pi\) | |||||||
\(390\) | 9.18283 | − | 1.88908i | 0.464991 | − | 0.0956575i | ||||
\(391\) | −18.9020 | −0.955913 | ||||||||
\(392\) | −3.70264 | − | 5.94058i | −0.187011 | − | 0.300045i | ||||
\(393\) | −9.72520 | − | 14.3353i | −0.490572 | − | 0.723121i | ||||
\(394\) | −5.52807 | − | 3.19163i | −0.278500 | − | 0.160792i | ||||
\(395\) | 6.10352 | − | 4.67855i | 0.307102 | − | 0.235404i | ||||
\(396\) | −5.11049 | + | 0.746142i | −0.256812 | + | 0.0374950i | ||||
\(397\) | −8.50692 | + | 2.27942i | −0.426950 | + | 0.114401i | −0.465894 | − | 0.884840i | \(-0.654267\pi\) |
0.0389441 | + | 0.999241i | \(0.487601\pi\) | |||||||
\(398\) | −1.53003 | − | 1.53003i | −0.0766936 | − | 0.0766936i | ||||
\(399\) | 17.5788 | − | 9.19798i | 0.880040 | − | 0.460475i | ||||
\(400\) | −4.83092 | + | 1.28927i | −0.241546 | + | 0.0644634i | ||||
\(401\) | 15.4318 | + | 8.90955i | 0.770627 | + | 0.444922i | 0.833098 | − | 0.553125i | \(-0.186565\pi\) |
−0.0624713 | + | 0.998047i | \(0.519898\pi\) | |||||||
\(402\) | −21.3477 | − | 10.3413i | −1.06472 | − | 0.515779i | ||||
\(403\) | −12.8407 | − | 3.44064i | −0.639638 | − | 0.171391i | ||||
\(404\) | −3.95547 | + | 6.85108i | −0.196792 | + | 0.340854i | ||||
\(405\) | −16.2986 | − | 11.8049i | −0.809884 | − | 0.586591i | ||||
\(406\) | 9.13673 | − | 1.36015i | 0.453448 | − | 0.0675030i | ||||
\(407\) | 6.09148 | − | 6.09148i | 0.301944 | − | 0.301944i | ||||
\(408\) | −0.310924 | − | 4.28175i | −0.0153930 | − | 0.211978i | ||||
\(409\) | 11.3497 | − | 6.55276i | 0.561208 | − | 0.324013i | −0.192423 | − | 0.981312i | \(-0.561634\pi\) |
0.753630 | + | 0.657299i | \(0.228301\pi\) | |||||||
\(410\) | 1.68970 | − | 12.7851i | 0.0834482 | − | 0.631413i | ||||
\(411\) | −3.24660 | − | 2.80701i | −0.160143 | − | 0.138460i | ||||
\(412\) | −9.75972 | − | 9.75972i | −0.480827 | − | 0.480827i | ||||
\(413\) | 26.4637 | − | 11.4888i | 1.30220 | − | 0.565325i | ||||
\(414\) | 8.45676 | − | 21.2580i | 0.415627 | − | 1.04477i | ||||
\(415\) | 4.87941 | − | 2.01826i | 0.239521 | − | 0.0990725i | ||||
\(416\) | −2.09634 | + | 1.21032i | −0.102782 | + | 0.0593410i | ||||
\(417\) | 2.70264 | − | 5.57907i | 0.132349 | − | 0.273208i | ||||
\(418\) | 1.92906 | + | 7.19934i | 0.0943533 | + | 0.352131i | ||||
\(419\) | 12.5812 | 0.614634 | 0.307317 | − | 0.951607i | \(-0.400569\pi\) | ||||
0.307317 | + | 0.951607i | \(0.400569\pi\) | |||||||
\(420\) | 9.29382 | + | 4.31565i | 0.453492 | + | 0.210582i | ||||
\(421\) | −6.71657 | −0.327346 | −0.163673 | − | 0.986515i | \(-0.552334\pi\) | ||||
−0.163673 | + | 0.986515i | \(0.552334\pi\) | |||||||
\(422\) | −2.30941 | − | 8.61882i | −0.112420 | − | 0.419558i | ||||
\(423\) | −10.8471 | + | 14.5561i | −0.527406 | + | 0.707740i | ||||
\(424\) | −11.7754 | + | 6.79852i | −0.571863 | + | 0.330165i | ||||
\(425\) | 6.18572 | + | 10.7387i | 0.300051 | + | 0.520906i | ||||
\(426\) | −18.5633 | − | 3.55682i | −0.899395 | − | 0.172329i | ||||
\(427\) | −17.9593 | − | 13.3051i | −0.869110 | − | 0.643878i | ||||
\(428\) | 14.3225 | + | 14.3225i | 0.692304 | + | 0.692304i | ||||
\(429\) | 4.72081 | − | 5.46011i | 0.227923 | − | 0.263616i | ||||
\(430\) | −3.34645 | + | 2.56517i | −0.161380 | + | 0.123703i | ||||
\(431\) | 16.1423 | − | 9.31978i | 0.777549 | − | 0.448918i | −0.0580119 | − | 0.998316i | \(-0.518476\pi\) |
0.835561 | + | 0.549398i | \(0.185143\pi\) | |||||||
\(432\) | 4.95456 | + | 1.56598i | 0.238377 | + | 0.0753433i | ||||
\(433\) | −2.13742 | + | 2.13742i | −0.102718 | + | 0.102718i | −0.756598 | − | 0.653880i | \(-0.773140\pi\) |
0.653880 | + | 0.756598i | \(0.273140\pi\) | |||||||
\(434\) | −9.03853 | − | 11.3763i | −0.433863 | − | 0.546082i | ||||
\(435\) | −10.1080 | + | 8.98209i | −0.484641 | + | 0.430658i | ||||
\(436\) | −3.81854 | + | 6.61391i | −0.182875 | + | 0.316749i | ||||
\(437\) | −31.8915 | − | 8.54530i | −1.52558 | − | 0.408777i | ||||
\(438\) | 2.47974 | − | 5.11895i | 0.118487 | − | 0.244593i | ||||
\(439\) | −12.7163 | − | 7.34175i | −0.606915 | − | 0.350403i | 0.164842 | − | 0.986320i | \(-0.447289\pi\) |
−0.771757 | + | 0.635917i | \(0.780622\pi\) | |||||||
\(440\) | −2.34497 | + | 3.05286i | −0.111792 | + | 0.145539i | ||||
\(441\) | −8.95497 | − | 18.9950i | −0.426427 | − | 0.904522i | ||||
\(442\) | 4.24247 | + | 4.24247i | 0.201794 | + | 0.201794i | ||||
\(443\) | 7.03018 | − | 1.88373i | 0.334014 | − | 0.0894987i | −0.0879143 | − | 0.996128i | \(-0.528020\pi\) |
0.421928 | + | 0.906629i | \(0.361353\pi\) | |||||||
\(444\) | −8.18738 | + | 2.84367i | −0.388556 | + | 0.134955i | ||||
\(445\) | −4.45340 | − | 5.80980i | −0.211112 | − | 0.275411i | ||||
\(446\) | −6.06911 | − | 3.50400i | −0.287381 | − | 0.165919i | ||||
\(447\) | −19.2183 | + | 13.0378i | −0.908993 | + | 0.616669i | ||||
\(448\) | −2.62857 | − | 0.301012i | −0.124188 | − | 0.0142215i | ||||
\(449\) | 32.4071 | 1.52939 | 0.764694 | − | 0.644394i | \(-0.222890\pi\) | ||||
0.764694 | + | 0.644394i | \(0.222890\pi\) | |||||||
\(450\) | −14.8448 | + | 2.15222i | −0.699790 | + | 0.101456i | ||||
\(451\) | −4.96447 | − | 8.59871i | −0.233768 | − | 0.404897i | ||||
\(452\) | −6.15549 | − | 1.64936i | −0.289530 | − | 0.0775793i | ||||
\(453\) | −0.687202 | − | 9.46350i | −0.0322876 | − | 0.444634i | ||||
\(454\) | 24.4256i | 1.14635i | ||||||||
\(455\) | −13.7702 | + | 3.93257i | −0.645557 | + | 0.184362i | ||||
\(456\) | 1.41112 | − | 7.36476i | 0.0660820 | − | 0.344886i | ||||
\(457\) | −9.22656 | + | 2.47225i | −0.431601 | + | 0.115647i | −0.468077 | − | 0.883687i | \(-0.655053\pi\) |
0.0364769 | + | 0.999334i | \(0.488386\pi\) | |||||||
\(458\) | 0.468937 | − | 1.75010i | 0.0219120 | − | 0.0817767i | ||||
\(459\) | 0.570782 | − | 12.8664i | 0.0266418 | − | 0.600553i | ||||
\(460\) | −6.51785 | − | 15.7578i | −0.303896 | − | 0.734709i | ||||
\(461\) | − | 20.6157i | − | 0.960170i | −0.877222 | − | 0.480085i | \(-0.840606\pi\) | ||
0.877222 | − | 0.480085i | \(-0.159394\pi\) | |||||||
\(462\) | 7.69856 | − | 1.72373i | 0.358169 | − | 0.0801950i | ||||
\(463\) | −21.4096 | + | 21.4096i | −0.994986 | + | 0.994986i | −0.999987 | − | 0.00500119i | \(-0.998408\pi\) |
0.00500119 | + | 0.999987i | \(0.498408\pi\) | |||||||
\(464\) | 1.74571 | − | 3.02365i | 0.0810424 | − | 0.140370i | ||||
\(465\) | 20.1850 | + | 6.70501i | 0.936058 | + | 0.310937i | ||||
\(466\) | 0.942716 | + | 1.63283i | 0.0436705 | + | 0.0756395i | ||||
\(467\) | −6.88896 | − | 25.7099i | −0.318783 | − | 1.18971i | −0.920416 | − | 0.390942i | \(-0.872149\pi\) |
0.601632 | − | 0.798773i | \(-0.294517\pi\) | |||||||
\(468\) | −6.66937 | + | 2.87320i | −0.308292 | + | 0.132814i | ||||
\(469\) | 33.7049 | + | 13.2990i | 1.55635 | + | 0.614091i | ||||
\(470\) | 1.75940 | + | 13.4157i | 0.0811549 | + | 0.618822i | ||||
\(471\) | 12.5160 | − | 14.4760i | 0.576706 | − | 0.667020i | ||||
\(472\) | 2.82223 | − | 10.5327i | 0.129904 | − | 0.484807i | ||||
\(473\) | −0.840203 | + | 3.13568i | −0.0386326 | + | 0.144179i | ||||
\(474\) | −3.89606 | + | 4.50620i | −0.178952 | + | 0.206977i | ||||
\(475\) | 5.58174 | + | 20.9150i | 0.256108 | + | 0.959644i | ||||
\(476\) | 0.965579 | + | 6.48623i | 0.0442572 | + | 0.297296i | ||||
\(477\) | −37.4626 | + | 16.1391i | −1.71529 | + | 0.738957i | ||||
\(478\) | 1.89894 | + | 7.08694i | 0.0868555 | + | 0.324149i | ||||
\(479\) | 15.6629 | + | 27.1290i | 0.715657 | + | 1.23955i | 0.962706 | + | 0.270551i | \(0.0872058\pi\) |
−0.247049 | + | 0.969003i | \(0.579461\pi\) | |||||||
\(480\) | 3.46230 | − | 1.73565i | 0.158032 | − | 0.0792214i | ||||
\(481\) | 6.05644 | − | 10.4901i | 0.276150 | − | 0.478306i | ||||
\(482\) | 9.95482 | − | 9.95482i | 0.453430 | − | 0.453430i | ||||
\(483\) | −10.4387 | + | 33.3519i | −0.474979 | + | 1.51756i | ||||
\(484\) | − | 8.03624i | − | 0.365283i | ||||||
\(485\) | −32.7164 | + | 13.5324i | −1.48558 | + | 0.614476i | ||||
\(486\) | 14.2148 | + | 6.39838i | 0.644797 | + | 0.290236i | ||||
\(487\) | −1.02073 | + | 3.80941i | −0.0462536 | + | 0.172621i | −0.985189 | − | 0.171473i | \(-0.945147\pi\) |
0.938935 | + | 0.344094i | \(0.111814\pi\) | |||||||
\(488\) | −8.15997 | + | 2.18646i | −0.369385 | + | 0.0989763i | ||||
\(489\) | −1.62191 | + | 8.46485i | −0.0733452 | + | 0.382794i | ||||
\(490\) | −14.6522 | − | 5.50571i | −0.661919 | − | 0.248723i | ||||
\(491\) | − | 17.7217i | − | 0.799771i | −0.916565 | − | 0.399886i | \(-0.869050\pi\) | ||
0.916565 | − | 0.399886i | \(-0.130950\pi\) | |||||||
\(492\) | 0.723489 | + | 9.96321i | 0.0326174 | + | 0.449176i | ||||
\(493\) | −8.35887 | − | 2.23975i | −0.376465 | − | 0.100873i | ||||
\(494\) | 5.23997 | + | 9.07589i | 0.235757 | + | 0.408343i | ||||
\(495\) | −8.05444 | + | 8.27619i | −0.362020 | + | 0.371987i | ||||
\(496\) | −5.49176 | −0.246588 | ||||||||
\(497\) | 28.6843 | + | 3.28479i | 1.28666 | + | 0.147343i | ||||
\(498\) | −3.38474 | + | 2.29624i | −0.151674 | + | 0.102897i | ||||
\(499\) | −14.7187 | − | 8.49786i | −0.658901 | − | 0.380417i | 0.132957 | − | 0.991122i | \(-0.457553\pi\) |
−0.791858 | + | 0.610705i | \(0.790886\pi\) | |||||||
\(500\) | −6.81945 | + | 8.85975i | −0.304975 | + | 0.396220i | ||||
\(501\) | −29.3263 | + | 10.1857i | −1.31020 | + | 0.455063i | ||||
\(502\) | 22.4491 | − | 6.01522i | 1.00195 | − | 0.268472i | ||||
\(503\) | 13.9310 | + | 13.9310i | 0.621153 | + | 0.621153i | 0.945826 | − | 0.324673i | \(-0.105254\pi\) |
−0.324673 | + | 0.945826i | \(0.605254\pi\) | |||||||
\(504\) | −7.72671 | − | 1.81601i | −0.344175 | − | 0.0808915i | ||||
\(505\) | 2.30016 | + | 17.5392i | 0.102356 | + | 0.780485i | ||||
\(506\) | −11.3699 | − | 6.56441i | −0.505453 | − | 0.291824i | ||||
\(507\) | −5.39186 | + | 11.1304i | −0.239461 | + | 0.494320i | ||||
\(508\) | 5.15230 | + | 1.38055i | 0.228596 | + | 0.0612522i | ||||
\(509\) | 8.58091 | − | 14.8626i | 0.380342 | − | 0.658772i | −0.610769 | − | 0.791809i | \(-0.709140\pi\) |
0.991111 | + | 0.133037i | \(0.0424728\pi\) | |||||||
\(510\) | −6.37645 | − | 7.17574i | −0.282354 | − | 0.317747i | ||||
\(511\) | −3.18897 | + | 8.08209i | −0.141072 | + | 0.357531i | ||||
\(512\) | −0.707107 | + | 0.707107i | −0.0312500 | + | 0.0312500i | ||||
\(513\) | 6.77975 | − | 21.4503i | 0.299333 | − | 0.947052i | ||||
\(514\) | 13.0993 | − | 7.56288i | 0.577785 | − | 0.333584i | ||||
\(515\) | −30.5969 | − | 4.04372i | −1.34826 | − | 0.178187i | ||||
\(516\) | 2.13614 | − | 2.47067i | 0.0940383 | − | 0.108765i | ||||
\(517\) | 7.36613 | + | 7.36613i | 0.323962 | + | 0.323962i | ||||
\(518\) | 12.1443 | − | 5.27221i | 0.533588 | − | 0.231648i | ||||
\(519\) | −13.1405 | − | 2.51779i | −0.576804 | − | 0.110519i | ||||
\(520\) | −2.07386 | + | 4.99968i | −0.0909448 | + | 0.219250i | ||||
\(521\) | −0.555645 | + | 0.320802i | −0.0243433 | + | 0.0140546i | −0.512122 | − | 0.858913i | \(-0.671141\pi\) |
0.487779 | + | 0.872967i | \(0.337807\pi\) | |||||||
\(522\) | 6.25870 | − | 8.39871i | 0.273936 | − | 0.367602i | ||||
\(523\) | 2.95123 | + | 11.0142i | 0.129048 | + | 0.481615i | 0.999952 | − | 0.00983936i | \(-0.00313202\pi\) |
−0.870903 | + | 0.491455i | \(0.836465\pi\) | |||||||
\(524\) | 10.0014 | 0.436911 | ||||||||
\(525\) | 22.3643 | − | 4.98394i | 0.976057 | − | 0.217517i | ||||
\(526\) | 13.3788 | 0.583341 | ||||||||
\(527\) | 3.52299 | + | 13.1480i | 0.153464 | + | 0.572734i | ||||
\(528\) | 1.29997 | − | 2.68354i | 0.0565740 | − | 0.116786i | ||||
\(529\) | 30.4476 | − | 17.5789i | 1.32381 | − | 0.764300i | ||||
\(530\) | −11.6491 | + | 28.0837i | −0.506005 | + | 1.21988i | ||||
\(531\) | 12.0919 | − | 30.3959i | 0.524746 | − | 1.31907i | ||||
\(532\) | −1.30320 | + | 11.3801i | −0.0565008 | + | 0.493391i | ||||
\(533\) | −9.87182 | − | 9.87182i | −0.427596 | − | 0.427596i | ||||
\(534\) | 4.28934 | + | 3.70857i | 0.185618 | + | 0.160485i | ||||
\(535\) | 44.9013 | + | 5.93420i | 1.94125 | + | 0.256558i | ||||
\(536\) | 11.8603 | − | 6.84754i | 0.512286 | − | 0.295769i | ||||
\(537\) | −0.447565 | − | 6.16344i | −0.0193138 | − | 0.265972i | ||||
\(538\) | 2.42859 | − | 2.42859i | 0.104704 | − | 0.104704i | ||||
\(539\) | −11.5284 | + | 3.51015i | −0.496562 | + | 0.151193i | ||||
\(540\) | 10.9230 | − | 3.96081i | 0.470051 | − | 0.170446i | ||||
\(541\) | 7.98850 | − | 13.8365i | 0.343452 | − | 0.594877i | −0.641619 | − | 0.767023i | \(-0.721737\pi\) |
0.985071 | + | 0.172147i | \(0.0550703\pi\) | |||||||
\(542\) | −14.7468 | − | 3.95140i | −0.633431 | − | 0.169727i | ||||
\(543\) | −34.9957 | − | 16.9528i | −1.50181 | − | 0.727513i | ||||
\(544\) | 2.14651 | + | 1.23929i | 0.0920310 | + | 0.0531341i | ||||
\(545\) | 2.22054 | + | 16.9320i | 0.0951174 | + | 0.725289i | ||||
\(546\) | 9.82864 | − | 5.14277i | 0.420627 | − | 0.220090i | ||||
\(547\) | −9.35884 | − | 9.35884i | −0.400155 | − | 0.400155i | 0.478132 | − | 0.878288i | \(-0.341314\pi\) |
−0.878288 | + | 0.478132i | \(0.841314\pi\) | |||||||
\(548\) | 2.39345 | − | 0.641324i | 0.102243 | − | 0.0273960i | ||||
\(549\) | −25.0776 | + | 3.66138i | −1.07029 | + | 0.156264i | ||||
\(550\) | −0.00860396 | + | 8.60779i | −0.000366874 | + | 0.367037i | ||||
\(551\) | −13.0906 | − | 7.55785i | −0.557677 | − | 0.321975i | ||||
\(552\) | 7.41556 | + | 10.9308i | 0.315627 | + | 0.465247i | ||||
\(553\) | 5.41670 | − | 7.31150i | 0.230342 | − | 0.310916i | ||||
\(554\) | 31.4667 | 1.33689 | ||||||||
\(555\) | −10.6615 | + | 16.1842i | −0.452558 | + | 0.686983i | ||||
\(556\) | 1.78956 | + | 3.09961i | 0.0758942 | + | 0.131453i | ||||
\(557\) | 18.7711 | + | 5.02971i | 0.795358 | + | 0.213116i | 0.633545 | − | 0.773706i | \(-0.281599\pi\) |
0.161813 | + | 0.986821i | \(0.448266\pi\) | |||||||
\(558\) | −16.3630 | − | 1.92030i | −0.692701 | − | 0.0812928i | ||||
\(559\) | 4.56455i | 0.193060i | ||||||||
\(560\) | −5.07433 | + | 3.04157i | −0.214430 | + | 0.128530i | ||||
\(561\) | −7.25865 | − | 1.39079i | −0.306461 | − | 0.0587194i | ||||
\(562\) | −6.49619 | + | 1.74065i | −0.274025 | + | 0.0734249i | ||||
\(563\) | 8.19533 | − | 30.5854i | 0.345392 | − | 1.28902i | −0.546761 | − | 0.837288i | \(-0.684140\pi\) |
0.892154 | − | 0.451732i | \(-0.149194\pi\) | |||||||
\(564\) | −3.43871 | − | 9.90060i | −0.144796 | − | 0.416890i | ||||
\(565\) | −13.1677 | + | 5.44652i | −0.553968 | + | 0.229137i | ||||
\(566\) | 1.13252i | 0.0476032i | ||||||||
\(567\) | −22.3871 | − | 8.11269i | −0.940172 | − | 0.340701i | ||||
\(568\) | 7.71629 | − | 7.71629i | 0.323768 | − | 0.323768i | ||||
\(569\) | 2.76033 | − | 4.78104i | 0.115719 | − | 0.200432i | −0.802348 | − | 0.596857i | \(-0.796416\pi\) |
0.918067 | + | 0.396425i | \(0.129749\pi\) | |||||||
\(570\) | −7.51433 | − | 14.9896i | −0.314741 | − | 0.627847i | ||||
\(571\) | 10.0033 | + | 17.3262i | 0.418623 | + | 0.725077i | 0.995801 | − | 0.0915415i | \(-0.0291794\pi\) |
−0.577178 | + | 0.816618i | \(0.695846\pi\) | |||||||
\(572\) | 1.07857 | + | 4.02529i | 0.0450974 | + | 0.168306i | ||||
\(573\) | 22.4987 | + | 33.1640i | 0.939898 | + | 1.38545i | ||||
\(574\) | −2.24681 | − | 15.0928i | −0.0937799 | − | 0.629962i | ||||
\(575\) | −33.0030 | − | 19.0983i | −1.37632 | − | 0.796455i | ||||
\(576\) | −2.35411 | + | 1.85961i | −0.0980881 | + | 0.0774837i | ||||
\(577\) | 1.98001 | − | 7.38948i | 0.0824287 | − | 0.307628i | −0.912386 | − | 0.409331i | \(-0.865762\pi\) |
0.994815 | + | 0.101702i | \(0.0324290\pi\) | |||||||
\(578\) | −2.80991 | + | 10.4867i | −0.116877 | + | 0.436190i | ||||
\(579\) | −21.0735 | − | 18.2202i | −0.875786 | − | 0.757205i | ||||
\(580\) | −1.01515 | − | 7.74076i | −0.0421520 | − | 0.321417i | ||||
\(581\) | 4.89179 | − | 3.88654i | 0.202946 | − | 0.161241i | ||||
\(582\) | 22.6947 | − | 15.3963i | 0.940725 | − | 0.638196i | ||||
\(583\) | 6.05846 | + | 22.6105i | 0.250916 | + | 0.936430i | ||||
\(584\) | 1.64197 | + | 2.84397i | 0.0679452 | + | 0.117684i | ||||
\(585\) | −7.92741 | + | 14.1716i | −0.327758 | + | 0.585925i | ||||
\(586\) | −16.3013 | + | 28.2347i | −0.673402 | + | 1.16637i | ||||
\(587\) | −16.6172 | + | 16.6172i | −0.685865 | + | 0.685865i | −0.961315 | − | 0.275450i | \(-0.911173\pi\) |
0.275450 | + | 0.961315i | \(0.411173\pi\) | |||||||
\(588\) | 11.9780 | + | 1.87833i | 0.493963 | + | 0.0774610i | ||||
\(589\) | 23.7760i | 0.979673i | ||||||||
\(590\) | −9.31959 | − | 22.5313i | −0.383681 | − | 0.927600i | ||||
\(591\) | 10.4441 | − | 3.62748i | 0.429613 | − | 0.149215i | ||||
\(592\) | 1.29513 | − | 4.83348i | 0.0532294 | − | 0.198655i | ||||
\(593\) | 41.0736 | − | 11.0056i | 1.68669 | − | 0.451948i | 0.717159 | − | 0.696909i | \(-0.245442\pi\) |
0.969533 | + | 0.244961i | \(0.0787753\pi\) | |||||||
\(594\) | 4.81168 | − | 7.54118i | 0.197426 | − | 0.309418i | ||||
\(595\) | 10.5371 | + | 10.1974i | 0.431979 | + | 0.418053i | ||||
\(596\) | − | 13.4080i | − | 0.549215i | ||||||
\(597\) | 3.73795 | − | 0.271435i | 0.152984 | − | 0.0111091i | ||||
\(598\) | −17.8311 | − | 4.77784i | −0.729170 | − | 0.195380i | ||||
\(599\) | 2.61599 | + | 4.53103i | 0.106887 | + | 0.185133i | 0.914507 | − | 0.404569i | \(-0.132578\pi\) |
−0.807621 | + | 0.589702i | \(0.799245\pi\) | |||||||
\(600\) | 3.78335 | − | 7.79014i | 0.154455 | − | 0.318031i | ||||
\(601\) | 35.0786 | 1.43089 | 0.715443 | − | 0.698671i | \(-0.246225\pi\) | ||||
0.715443 | + | 0.698671i | \(0.246225\pi\) | |||||||
\(602\) | −2.96988 | + | 4.00876i | −0.121043 | + | 0.163385i | ||||
\(603\) | 37.7327 | − | 16.2554i | 1.53660 | − | 0.661972i | ||||
\(604\) | 4.74421 | + | 2.73907i | 0.193039 | + | 0.111451i | ||||
\(605\) | −10.9321 | − | 14.2617i | −0.444451 | − | 0.579820i | ||||
\(606\) | −4.49563 | − | 12.9437i | −0.182623 | − | 0.525800i | ||||
\(607\) | 14.0589 | − | 3.76707i | 0.570632 | − | 0.152900i | 0.0380457 | − | 0.999276i | \(-0.487887\pi\) |
0.532587 | + | 0.846376i | \(0.321220\pi\) | |||||||
\(608\) | 3.06134 | + | 3.06134i | 0.124154 | + | 0.124154i | ||||
\(609\) | −8.56821 | + | 13.5120i | −0.347201 | + | 0.547535i | ||||
\(610\) | −11.5069 | + | 14.9806i | −0.465902 | + | 0.606548i | ||||
\(611\) | 12.6851 | + | 7.32376i | 0.513185 | + | 0.296288i | ||||
\(612\) | 5.96230 | + | 4.44310i | 0.241012 | + | 0.179602i | ||||
\(613\) | 27.7427 | + | 7.43363i | 1.12052 | + | 0.300241i | 0.771092 | − | 0.636723i | \(-0.219711\pi\) |
0.349424 | + | 0.936965i | \(0.386377\pi\) | |||||||
\(614\) | −4.92094 | + | 8.52331i | −0.198593 | + | 0.343973i | ||||
\(615\) | 14.8374 | + | 16.6972i | 0.598300 | + | 0.673298i | ||||
\(616\) | −1.67177 | + | 4.23692i | −0.0673575 | + | 0.170711i | ||||
\(617\) | −24.1611 | + | 24.1611i | −0.972689 | + | 0.972689i | −0.999637 | − | 0.0269478i | \(-0.991421\pi\) |
0.0269478 | + | 0.999637i | \(0.491421\pi\) | |||||||
\(618\) | 23.8436 | − | 1.73142i | 0.959129 | − | 0.0696481i | ||||
\(619\) | 1.28110 | − | 0.739645i | 0.0514919 | − | 0.0297288i | −0.474033 | − | 0.880507i | \(-0.657202\pi\) |
0.525525 | + | 0.850778i | \(0.323869\pi\) | |||||||
\(620\) | −9.74608 | + | 7.47070i | −0.391412 | + | 0.300030i | ||||
\(621\) | 18.2729 | + | 35.1619i | 0.733266 | + | 1.41100i | ||||
\(622\) | 6.27017 | + | 6.27017i | 0.251411 | + | 0.251411i | ||||
\(623\) | −6.95964 | − | 5.15603i | −0.278832 | − | 0.206572i | ||||
\(624\) | 0.788987 | − | 4.11778i | 0.0315848 | − | 0.164843i | ||||
\(625\) | −0.0499777 | + | 25.0000i | −0.00199911 | + | 0.999998i | ||||
\(626\) | −5.01667 | + | 2.89637i | −0.200506 | + | 0.115762i | ||||
\(627\) | −11.6181 | − | 5.62809i | −0.463982 | − | 0.224764i | ||||
\(628\) | 2.85955 | + | 10.6720i | 0.114109 | + | 0.425859i | ||||
\(629\) | −12.4028 | −0.494531 | ||||||||
\(630\) | −16.1828 | + | 7.28817i | −0.644738 | + | 0.290368i | ||||
\(631\) | −46.0928 | −1.83492 | −0.917462 | − | 0.397824i | \(-0.869765\pi\) | ||||
−0.917462 | + | 0.397824i | \(0.869765\pi\) | |||||||
\(632\) | −0.890141 | − | 3.32205i | −0.0354079 | − | 0.132144i | ||||
\(633\) | 13.9088 | + | 6.73777i | 0.552825 | + | 0.267802i | ||||
\(634\) | −3.67892 | + | 2.12403i | −0.146109 | + | 0.0843558i | ||||
\(635\) | 11.0217 | − | 4.55887i | 0.437382 | − | 0.180913i | ||||
\(636\) | 4.43183 | − | 23.1300i | 0.175733 | − | 0.917164i | ||||
\(637\) | −14.3800 | + | 8.96278i | −0.569758 | + | 0.355118i | ||||
\(638\) | −4.25019 | − | 4.25019i | −0.168267 | − | 0.168267i | ||||
\(639\) | 25.6892 | − | 20.2929i | 1.01625 | − | 0.802777i | ||||
\(640\) | −0.292973 | + | 2.21679i | −0.0115808 | + | 0.0876264i | ||||
\(641\) | −8.05187 | + | 4.64875i | −0.318030 | + | 0.183614i | −0.650514 | − | 0.759494i | \(-0.725446\pi\) |
0.332484 | + | 0.943109i | \(0.392113\pi\) | |||||||
\(642\) | −34.9907 | + | 2.54088i | −1.38097 | + | 0.100281i | ||||
\(643\) | 18.9401 | − | 18.9401i | 0.746924 | − | 0.746924i | −0.226976 | − | 0.973900i | \(-0.572884\pi\) |
0.973900 | + | 0.226976i | \(0.0728840\pi\) | |||||||
\(644\) | −12.5513 | − | 15.7977i | −0.494592 | − | 0.622518i | ||||
\(645\) | 0.429987 | − | 7.29051i | 0.0169307 | − | 0.287064i | ||||
\(646\) | 5.36537 | − | 9.29310i | 0.211098 | − | 0.365632i | ||||
\(647\) | 33.1966 | + | 8.89500i | 1.30509 | + | 0.349698i | 0.843373 | − | 0.537328i | \(-0.180566\pi\) |
0.461719 | + | 0.887026i | \(0.347233\pi\) | |||||||
\(648\) | −7.66446 | + | 4.71764i | −0.301088 | + | 0.185326i | ||||
\(649\) | −16.2573 | − | 9.38617i | −0.638156 | − | 0.368439i | ||||
\(650\) | 3.12086 | + | 11.6940i | 0.122410 | + | 0.458675i | ||||
\(651\) | 25.1447 | + | 1.04486i | 0.985500 | + | 0.0409512i | ||||
\(652\) | −3.51862 | − | 3.51862i | −0.137800 | − | 0.137800i | ||||
\(653\) | −25.9190 | + | 6.94497i | −1.01429 | + | 0.271778i | −0.727420 | − | 0.686193i | \(-0.759281\pi\) |
−0.286868 | + | 0.957970i | \(0.592614\pi\) | |||||||
\(654\) | −4.34000 | − | 12.4956i | −0.169708 | − | 0.488616i | ||||
\(655\) | 17.7491 | − | 13.6053i | 0.693515 | − | 0.531603i | ||||
\(656\) | −4.99472 | − | 2.88370i | −0.195011 | − | 0.112590i | ||||
\(657\) | 3.89788 | + | 9.04791i | 0.152071 | + | 0.352993i | ||||
\(658\) | 6.37543 | + | 14.6855i | 0.248540 | + | 0.572499i | ||||
\(659\) | 5.40014 | 0.210360 | 0.105180 | − | 0.994453i | \(-0.466458\pi\) | ||||
0.105180 | + | 0.994453i | \(0.466458\pi\) | |||||||
\(660\) | −1.34351 | − | 6.53081i | −0.0522961 | − | 0.254211i | ||||
\(661\) | 12.2794 | + | 21.2685i | 0.477613 | + | 0.827250i | 0.999671 | − | 0.0256598i | \(-0.00816868\pi\) |
−0.522057 | + | 0.852910i | \(0.674835\pi\) | |||||||
\(662\) | 5.22475 | + | 1.39997i | 0.203066 | + | 0.0544113i | ||||
\(663\) | −10.3646 | + | 0.752636i | −0.402528 | + | 0.0292300i | ||||
\(664\) | − | 2.36144i | − | 0.0916417i | ||||||
\(665\) | 13.1681 | + | 21.9688i | 0.510639 | + | 0.851913i | ||||
\(666\) | 5.54902 | − | 13.9487i | 0.215020 | − | 0.540503i | ||||
\(667\) | 25.7187 | − | 6.89131i | 0.995832 | − | 0.266832i | ||||
\(668\) | 4.63900 | − | 17.3130i | 0.179488 | − | 0.669859i | ||||
\(669\) | 11.4663 | − | 3.98251i | 0.443313 | − | 0.153973i | ||||
\(670\) | 11.7331 | − | 28.2862i | 0.453289 | − | 1.09279i | ||||
\(671\) | 14.5434i | 0.561443i | ||||||||
\(672\) | 3.37211 | − | 3.10304i | 0.130082 | − | 0.119702i | ||||
\(673\) | 18.8221 | − | 18.8221i | 0.725540 | − | 0.725540i | −0.244188 | − | 0.969728i | \(-0.578521\pi\) |
0.969728 | + | 0.244188i | \(0.0785214\pi\) | |||||||
\(674\) | 7.64272 | − | 13.2376i | 0.294386 | − | 0.509892i | ||||
\(675\) | 13.9967 | − | 21.8882i | 0.538732 | − | 0.842477i | ||||
\(676\) | −3.57023 | − | 6.18383i | −0.137317 | − | 0.237840i | ||||
\(677\) | 7.35179 | + | 27.4373i | 0.282552 | + | 1.05450i | 0.950609 | + | 0.310389i | \(0.100459\pi\) |
−0.668057 | + | 0.744110i | \(0.732874\pi\) | |||||||
\(678\) | 9.13414 | − | 6.19668i | 0.350795 | − | 0.237982i | ||||
\(679\) | −32.7994 | + | 26.0592i | −1.25873 | + | 1.00006i | ||||
\(680\) | 5.49522 | − | 0.720665i | 0.210732 | − | 0.0276362i | ||||
\(681\) | −32.0032 | − | 27.6699i | −1.22636 | − | 1.06031i | ||||
\(682\) | −2.44698 | + | 9.13224i | −0.0936996 | + | 0.349692i | ||||
\(683\) | 0.658859 | − | 2.45890i | 0.0252106 | − | 0.0940871i | −0.952174 | − | 0.305555i | \(-0.901158\pi\) |
0.977385 | + | 0.211468i | \(0.0678245\pi\) | |||||||
\(684\) | 8.05098 | + | 10.1919i | 0.307837 | + | 0.389697i | ||||
\(685\) | 3.37517 | − | 4.39406i | 0.128959 | − | 0.167889i | ||||
\(686\) | −18.4606 | − | 1.48478i | −0.704831 | − | 0.0566891i | ||||
\(687\) | 1.76181 | + | 2.59697i | 0.0672172 | + | 0.0990807i | ||||
\(688\) | 0.488048 | + | 1.82142i | 0.0186067 | + | 0.0694410i | ||||
\(689\) | 16.4568 | + | 28.5040i | 0.626955 | + | 1.08592i | ||||
\(690\) | 28.0299 | + | 9.31090i | 1.06708 | + | 0.354460i | ||||
\(691\) | −2.47893 | + | 4.29362i | −0.0943028 | + | 0.163337i | −0.909317 | − | 0.416103i | \(-0.863396\pi\) |
0.815015 | + | 0.579440i | \(0.196729\pi\) | |||||||
\(692\) | 5.46217 | − | 5.46217i | 0.207641 | − | 0.207641i | ||||
\(693\) | −6.46265 | + | 12.0396i | −0.245496 | + | 0.457346i | ||||
\(694\) | − | 22.0253i | − | 0.836070i | ||||||
\(695\) | 7.39242 | + | 3.06637i | 0.280410 | + | 0.116314i | ||||
\(696\) | 1.98410 | + | 5.71255i | 0.0752072 | + | 0.216534i | ||||
\(697\) | −3.69981 | + | 13.8079i | −0.140140 | + | 0.523011i | ||||
\(698\) | −1.16993 | + | 0.313481i | −0.0442824 | + | 0.0118654i | ||||
\(699\) | −3.20732 | − | 0.614539i | −0.121312 | − | 0.0232440i | ||||
\(700\) | −4.86770 | + | 12.3006i | −0.183982 | + | 0.464920i | ||||
\(701\) | 7.09309i | 0.267902i | 0.990988 | + | 0.133951i | \(0.0427665\pi\) | ||||
−0.990988 | + | 0.133951i | \(0.957233\pi\) | |||||||
\(702\) | 3.79069 | − | 11.9932i | 0.143070 | − | 0.452656i | ||||
\(703\) | −20.9260 | − | 5.60712i | −0.789241 | − | 0.211476i | ||||
\(704\) | 0.860779 | + | 1.49091i | 0.0324418 | + | 0.0561909i | ||||
\(705\) | −19.5708 | − | 12.8925i | −0.737079 | − | 0.485559i | ||||
\(706\) | 13.3989 | 0.504276 | ||||||||
\(707\) | 8.33498 | + | 19.1992i | 0.313469 | + | 0.722060i | ||||
\(708\) | 10.6032 | + | 15.6295i | 0.398492 | + | 0.587393i | ||||
\(709\) | 24.9741 | + | 14.4188i | 0.937921 | + | 0.541509i | 0.889308 | − | 0.457309i | \(-0.151186\pi\) |
0.0486133 | + | 0.998818i | \(0.484520\pi\) | |||||||
\(710\) | 3.19707 | − | 24.1907i | 0.119984 | − | 0.907861i | ||||
\(711\) | −1.49060 | − | 10.2095i | −0.0559020 | − | 0.382885i | ||||
\(712\) | −3.16218 | + | 0.847304i | −0.118508 | + | 0.0317540i | ||||
\(713\) | −29.6143 | − | 29.6143i | −1.10906 | − | 1.10906i | ||||
\(714\) | −9.59229 | − | 6.08263i | −0.358982 | − | 0.227637i | ||||
\(715\) | 7.38989 | + | 5.67634i | 0.276366 | + | 0.212283i | ||||
\(716\) | 3.08984 | + | 1.78392i | 0.115473 | + | 0.0666681i | ||||
\(717\) | −11.4367 | − | 5.54022i | −0.427111 | − | 0.206903i | ||||
\(718\) | 11.8054 | + | 3.16326i | 0.440575 | + | 0.118052i | ||||
\(719\) | 7.22895 | − | 12.5209i | 0.269594 | − | 0.466951i | −0.699163 | − | 0.714962i | \(-0.746444\pi\) |
0.968757 | + | 0.248012i | \(0.0797771\pi\) | |||||||
\(720\) | −1.64807 | + | 6.50260i | −0.0614200 | + | 0.242338i | ||||
\(721\) | −36.1195 | + | 5.37697i | −1.34516 | + | 0.200249i | ||||
\(722\) | −0.181270 | + | 0.181270i | −0.00674618 | + | 0.00674618i | ||||
\(723\) | 1.76604 | + | 24.3202i | 0.0656796 | + | 0.904478i | ||||
\(724\) | 19.4428 | − | 11.2253i | 0.722587 | − | 0.417186i | ||||
\(725\) | −12.3317 | − | 12.3563i | −0.457987 | − | 0.458903i | ||||
\(726\) | 10.5293 | + | 9.10366i | 0.390780 | + | 0.337868i | ||||
\(727\) | 16.0036 | + | 16.0036i | 0.593541 | + | 0.593541i | 0.938586 | − | 0.345045i | \(-0.112136\pi\) |
−0.345045 | + | 0.938586i | \(0.612136\pi\) | |||||||
\(728\) | −0.728643 | + | 6.36285i | −0.0270053 | + | 0.235823i | ||||
\(729\) | −24.4863 | + | 11.3764i | −0.906898 | + | 0.421349i | ||||
\(730\) | 6.78274 | + | 2.81348i | 0.251041 | + | 0.104131i | ||||
\(731\) | 4.04762 | − | 2.33689i | 0.149707 | − | 0.0864332i | ||||
\(732\) | 6.37907 | − | 13.1683i | 0.235777 | − | 0.486715i | ||||
\(733\) | −3.08877 | − | 11.5274i | −0.114086 | − | 0.425775i | 0.885131 | − | 0.465342i | \(-0.154069\pi\) |
−0.999217 | + | 0.0395671i | \(0.987402\pi\) | |||||||
\(734\) | 15.9411 | 0.588395 | ||||||||
\(735\) | 23.8122 | − | 12.9608i | 0.878325 | − | 0.478065i | ||||
\(736\) | −7.62613 | −0.281103 | ||||||||
\(737\) | −6.10215 | − | 22.7735i | −0.224775 | − | 0.838873i | ||||
\(738\) | −13.8737 | − | 10.3386i | −0.510698 | − | 0.380571i | ||||
\(739\) | −29.8148 | + | 17.2136i | −1.09675 | + | 0.633211i | −0.935366 | − | 0.353680i | \(-0.884930\pi\) |
−0.161387 | + | 0.986891i | \(0.551597\pi\) | |||||||
\(740\) | −4.27678 | − | 10.3397i | −0.157217 | − | 0.380094i | ||||
\(741\) | −17.8275 | − | 3.41583i | −0.654909 | − | 0.125484i | ||||
\(742\) | −4.09287 | + | 35.7408i | −0.150254 | + | 1.31209i | ||||
\(743\) | −33.6273 | − | 33.6273i | −1.23367 | − | 1.23367i | −0.962545 | − | 0.271121i | \(-0.912606\pi\) |
−0.271121 | − | 0.962545i | \(-0.587394\pi\) | |||||||
\(744\) | 6.22121 | − | 7.19548i | 0.228081 | − | 0.263799i | ||||
\(745\) | −18.2396 | − | 23.7949i | −0.668246 | − | 0.871777i | ||||
\(746\) | −18.8472 | + | 10.8814i | −0.690045 | + | 0.398398i | ||||
\(747\) | 0.825723 | − | 7.03604i | 0.0302116 | − | 0.257435i | ||||
\(748\) | 3.01724 | − | 3.01724i | 0.110321 | − | 0.110321i | ||||
\(749\) | 53.0058 | − | 7.89076i | 1.93679 | − | 0.288322i | ||||
\(750\) | −3.88306 | − | 18.9716i | −0.141789 | − | 0.692745i | ||||
\(751\) | 18.5581 | − | 32.1436i | 0.677196 | − | 1.17294i | −0.298626 | − | 0.954370i | \(-0.596528\pi\) |
0.975822 | − | 0.218567i | \(-0.0701383\pi\) | |||||||
\(752\) | 5.84489 | + | 1.56613i | 0.213141 | + | 0.0571110i | ||||
\(753\) | −17.5496 | + | 36.2277i | −0.639543 | + | 1.32021i | ||||
\(754\) | −7.31919 | − | 4.22574i | −0.266549 | − | 0.153892i | ||||
\(755\) | 12.1455 | − | 1.59281i | 0.442020 | − | 0.0579683i | ||||
\(756\) | 11.1324 | − | 8.06656i | 0.404882 | − | 0.293378i | ||||
\(757\) | −8.10894 | − | 8.10894i | −0.294724 | − | 0.294724i | 0.544219 | − | 0.838943i | \(-0.316826\pi\) |
−0.838943 | + | 0.544219i | \(0.816826\pi\) | |||||||
\(758\) | −19.4026 | + | 5.19890i | −0.704733 | + | 0.188833i | ||||
\(759\) | 21.4810 | − | 7.46085i | 0.779711 | − | 0.270812i | ||||
\(760\) | 9.59736 | + | 1.26840i | 0.348133 | + | 0.0460096i | ||||
\(761\) | −25.8264 | − | 14.9109i | −0.936205 | − | 0.540518i | −0.0474360 | − | 0.998874i | \(-0.515105\pi\) |
−0.888769 | + | 0.458356i | \(0.848438\pi\) | |||||||
\(762\) | −7.64550 | + | 5.18677i | −0.276967 | + | 0.187897i | ||||
\(763\) | 8.04645 | + | 18.5346i | 0.291301 | + | 0.670996i | ||||
\(764\) | −23.1376 | −0.837088 | ||||||||
\(765\) | 16.6253 | − | 0.225753i | 0.601088 | − | 0.00816212i | ||||
\(766\) | 0.183154 | + | 0.317232i | 0.00661763 | + | 0.0114621i | ||||
\(767\) | −25.4960 | − | 6.83163i | −0.920606 | − | 0.246676i | ||||
\(768\) | −0.125444 | − | 1.72750i | −0.00452658 | − | 0.0623359i | ||||
\(769\) | − | 11.1146i | − | 0.400803i | −0.979714 | − | 0.200401i | \(-0.935775\pi\) | ||
0.979714 | − | 0.200401i | \(-0.0642246\pi\) | |||||||
\(770\) | 2.79684 | + | 9.79334i | 0.100791 | + | 0.352927i | ||||
\(771\) | −4.93010 | + | 25.7305i | −0.177553 | + | 0.926662i | ||||
\(772\) | 15.5358 | − | 4.16280i | 0.559145 | − | 0.149822i | ||||
\(773\) | −0.889057 | + | 3.31800i | −0.0319771 | + | 0.119340i | −0.980070 | − | 0.198655i | \(-0.936343\pi\) |
0.948092 | + | 0.317995i | \(0.103009\pi\) | |||||||
\(774\) | 0.817271 | + | 5.59767i | 0.0293762 | + | 0.201204i | ||||
\(775\) | −7.13337 | + | 26.5161i | −0.256238 | + | 0.952485i | ||||
\(776\) | 15.8334i | 0.568388i | ||||||||
\(777\) | −6.84952 | + | 21.8843i | −0.245725 | + | 0.785094i | ||||
\(778\) | −9.41423 | + | 9.41423i | −0.337516 | + | 0.337516i | ||||
\(779\) | −12.4847 | + | 21.6241i | −0.447310 | + | 0.774764i | ||||
\(780\) | −4.20141 | − | 8.38100i | −0.150434 | − | 0.300088i | ||||
\(781\) | −9.39324 | − | 16.2696i | −0.336117 | − | 0.582171i | ||||
\(782\) | 4.89219 | + | 18.2579i | 0.174944 | + | 0.652901i | ||||
\(783\) | 3.91423 | + | 17.7146i | 0.139883 | + | 0.633069i | ||||
\(784\) | −4.77984 | + | 5.11401i | −0.170709 | + | 0.182643i | ||||
\(785\) | 19.5924 | + | 15.0493i | 0.699281 | + | 0.537133i | ||||
\(786\) | −11.3298 | + | 13.1041i | −0.404120 | + | 0.467407i | ||||
\(787\) | 13.3051 | − | 49.6552i | 0.474275 | − | 1.77002i | −0.149868 | − | 0.988706i | \(-0.547885\pi\) |
0.624142 | − | 0.781311i | \(-0.285449\pi\) | |||||||
\(788\) | −1.65211 | + | 6.16576i | −0.0588540 | + | 0.219646i | ||||
\(789\) | −15.1558 | + | 17.5293i | −0.539561 | + | 0.624058i | ||||
\(790\) | −6.09884 | − | 4.68465i | −0.216987 | − | 0.166672i | ||||
\(791\) | −13.2011 | + | 10.4883i | −0.469377 | + | 0.372921i | ||||
\(792\) | 2.04341 | + | 4.74324i | 0.0726094 | + | 0.168544i | ||||
\(793\) | 5.29264 | + | 19.7524i | 0.187947 | + | 0.701429i | ||||
\(794\) | 4.40351 | + | 7.62710i | 0.156275 | + | 0.270676i | ||||
\(795\) | −23.5998 | − | 47.0770i | −0.836997 | − | 1.66965i | ||||
\(796\) | −1.08190 | + | 1.87390i | −0.0383468 | + | 0.0664186i | ||||
\(797\) | 27.0994 | − | 27.0994i | 0.959910 | − | 0.959910i | −0.0393164 | − | 0.999227i | \(-0.512518\pi\) |
0.999227 | + | 0.0393164i | \(0.0125180\pi\) | |||||||
\(798\) | −13.4343 | − | 14.5992i | −0.475569 | − | 0.516806i | ||||
\(799\) | − | 14.9981i | − | 0.530594i | ||||||
\(800\) | 2.49567 | + | 4.33262i | 0.0882353 | + | 0.153181i | ||||
\(801\) | −9.71816 | + | 1.41887i | −0.343374 | + | 0.0501333i | ||||
\(802\) | 4.61192 | − | 17.2119i | 0.162853 | − | 0.607774i | ||||
\(803\) | 5.46085 | − | 1.46323i | 0.192709 | − | 0.0516363i | ||||
\(804\) | −4.46378 | + | 23.2968i | −0.157425 | + | 0.821614i | ||||
\(805\) | −43.7649 | − | 10.9617i | −1.54251 | − | 0.386348i | ||||
\(806\) | 13.2936i | 0.468248i | ||||||||
\(807\) | 0.430844 | + | 5.93318i | 0.0151664 | + | 0.208858i | ||||
\(808\) | 7.64138 | + | 2.04750i | 0.268823 | + | 0.0720309i | ||||
\(809\) | −0.674354 | − | 1.16802i | −0.0237090 | − | 0.0410653i | 0.853927 | − | 0.520392i | \(-0.174214\pi\) |
−0.877636 | + | 0.479327i | \(0.840881\pi\) | |||||||
\(810\) | −7.18428 | + | 18.7986i | −0.252430 | + | 0.660514i | ||||
\(811\) | 24.7652 | 0.869624 | 0.434812 | − | 0.900521i | \(-0.356815\pi\) | ||||
0.434812 | + | 0.900521i | \(0.356815\pi\) | |||||||
\(812\) | −3.67856 | − | 8.47337i | −0.129092 | − | 0.297357i | ||||
\(813\) | 21.8828 | − | 14.8455i | 0.767465 | − | 0.520655i | ||||
\(814\) | −7.46051 | − | 4.30733i | −0.261491 | − | 0.150972i | ||||
\(815\) | −11.0309 | − | 1.45786i | −0.386397 | − | 0.0510666i | ||||
\(816\) | −4.05538 | + | 1.40853i | −0.141967 | + | 0.0493083i | ||||
\(817\) | 7.88564 | − | 2.11295i | 0.275884 | − | 0.0739228i | ||||
\(818\) | −9.26701 | − | 9.26701i | −0.324013 | − | 0.324013i | ||||
\(819\) | −4.39592 | + | 18.7036i | −0.153606 | + | 0.653558i | ||||
\(820\) | −12.7868 | + | 1.67692i | −0.446535 | + | 0.0585605i | ||||
\(821\) | −15.4089 | − | 8.89631i | −0.537773 | − | 0.310483i | 0.206403 | − | 0.978467i | \(-0.433824\pi\) |
−0.744176 | + | 0.667984i | \(0.767158\pi\) | |||||||
\(822\) | −1.87108 | + | 3.86249i | −0.0652616 | + | 0.134720i | ||||
\(823\) | 1.94629 | + | 0.521507i | 0.0678434 | + | 0.0181786i | 0.292581 | − | 0.956241i | \(-0.405486\pi\) |
−0.224738 | + | 0.974419i | \(0.572153\pi\) | |||||||
\(824\) | −6.90117 | + | 11.9532i | −0.240414 | + | 0.416408i | ||||
\(825\) | −11.2684 | − | 9.76240i | −0.392317 | − | 0.339883i | ||||
\(826\) | −17.9466 | − | 22.5885i | −0.624442 | − | 0.785954i | ||||
\(827\) | 4.04681 | − | 4.04681i | 0.140721 | − | 0.140721i | −0.633237 | − | 0.773958i | \(-0.718274\pi\) |
0.773958 | + | 0.633237i | \(0.218274\pi\) | |||||||
\(828\) | −22.7224 | − | 2.66662i | −0.789660 | − | 0.0926714i | ||||
\(829\) | −26.8242 | + | 15.4870i | −0.931643 | + | 0.537884i | −0.887331 | − | 0.461134i | \(-0.847443\pi\) |
−0.0443119 | + | 0.999018i | \(0.514110\pi\) | |||||||
\(830\) | −3.21237 | − | 4.19078i | −0.111503 | − | 0.145464i | ||||
\(831\) | −35.6463 | + | 41.2286i | −1.23656 | + | 1.43020i | ||||
\(832\) | 1.71166 | + | 1.71166i | 0.0593410 | + | 0.0593410i | ||||
\(833\) | 15.3099 | + | 8.16288i | 0.530455 | + | 0.282827i | ||||
\(834\) | −6.08846 | − | 1.16658i | −0.210826 | − | 0.0403954i | ||||
\(835\) | −15.3189 | − | 37.0355i | −0.530133 | − | 1.28167i | ||||
\(836\) | 6.45475 | − | 3.72665i | 0.223242 | − | 0.128889i | ||||
\(837\) | 21.0525 | − | 19.2639i | 0.727680 | − | 0.665859i | ||||
\(838\) | −3.25627 | − | 12.1525i | −0.112486 | − | 0.419803i | ||||
\(839\) | −29.6641 | −1.02412 | −0.512060 | − | 0.858950i | \(-0.671117\pi\) | ||||
−0.512060 | + | 0.858950i | \(0.671117\pi\) | |||||||
\(840\) | 1.76318 | − | 10.0941i | 0.0608355 | − | 0.348280i | ||||
\(841\) | −16.8100 | −0.579656 | ||||||||
\(842\) | 1.73838 | + | 6.48771i | 0.0599084 | + | 0.223581i | ||||
\(843\) | 5.07840 | − | 10.4834i | 0.174909 | − | 0.361066i | ||||
\(844\) | −7.72742 | + | 4.46143i | −0.265989 | + | 0.153569i | ||||
\(845\) | −14.7481 | − | 6.11751i | −0.507351 | − | 0.210449i | ||||
\(846\) | 16.8675 | + | 6.71015i | 0.579918 | + | 0.230700i | ||||
\(847\) | −17.0843 | − | 12.6568i | −0.587022 | − | 0.434894i | ||||
\(848\) | 9.61456 | + | 9.61456i | 0.330165 | + | 0.330165i | ||||
\(849\) | −1.48386 | − | 1.28294i | −0.0509259 | − | 0.0440305i | ||||
\(850\) | 8.77185 | − | 8.75434i | 0.300872 | − | 0.300271i | ||||
\(851\) | 33.0484 | − | 19.0805i | 1.13289 | − | 0.654072i | ||||
\(852\) | 1.36891 | + | 18.8513i | 0.0468981 | + | 0.645836i | ||||
\(853\) | −27.7032 | + | 27.7032i | −0.948539 | + | 0.948539i | −0.998739 | − | 0.0502004i | \(-0.984014\pi\) |
0.0502004 | + | 0.998739i | \(0.484014\pi\) | |||||||
\(854\) | −8.20351 | + | 20.7909i | −0.280718 | + | 0.711451i | ||||
\(855\) | 28.1523 | + | 7.13515i | 0.962789 | + | 0.244017i | ||||
\(856\) | 10.1275 | − | 17.5414i | 0.346152 | − | 0.599553i | ||||
\(857\) | 22.5283 | + | 6.03643i | 0.769551 | + | 0.206200i | 0.622173 | − | 0.782880i | \(-0.286250\pi\) |
0.147378 | + | 0.989080i | \(0.452917\pi\) | |||||||
\(858\) | −6.49589 | − | 3.14677i | −0.221766 | − | 0.107429i | ||||
\(859\) | −26.1491 | − | 15.0972i | −0.892195 | − | 0.515109i | −0.0175351 | − | 0.999846i | \(-0.505582\pi\) |
−0.874660 | + | 0.484737i | \(0.838915\pi\) | |||||||
\(860\) | 3.34389 | + | 2.56851i | 0.114026 | + | 0.0875854i | ||||
\(861\) | 22.3203 | + | 14.1537i | 0.760674 | + | 0.482357i | ||||
\(862\) | −13.1802 | − | 13.1802i | −0.448918 | − | 0.448918i | ||||
\(863\) | 12.8439 | − | 3.44152i | 0.437212 | − | 0.117151i | −0.0334974 | − | 0.999439i | \(-0.510665\pi\) |
0.470710 | + | 0.882288i | \(0.343998\pi\) | |||||||
\(864\) | 0.230286 | − | 5.19105i | 0.00783449 | − | 0.176603i | ||||
\(865\) | 2.26313 | − | 17.1240i | 0.0769486 | − | 0.582234i | ||||
\(866\) | 2.61779 | + | 1.51138i | 0.0889561 | + | 0.0513589i | ||||
\(867\) | −10.5569 | − | 15.5613i | −0.358531 | − | 0.528488i | ||||
\(868\) | −8.64936 | + | 11.6750i | −0.293579 | + | 0.396274i | ||||
\(869\) | −5.92085 | −0.200851 | ||||||||
\(870\) | 11.2922 | + | 7.43884i | 0.382840 | + | 0.252200i | ||||
\(871\) | −16.5755 | − | 28.7096i | −0.561639 | − | 0.972787i | ||||
\(872\) | 7.37685 | + | 1.97662i | 0.249812 | + | 0.0669369i | ||||
\(873\) | −5.53646 | + | 47.1766i | −0.187381 | + | 1.59669i | ||||
\(874\) | 33.0165i | 1.11680i | ||||||||
\(875\) | 8.09454 | + | 28.4513i | 0.273645 | + | 0.961831i | ||||
\(876\) | −5.58633 | − | 1.07037i | −0.188745 | − | 0.0361644i | ||||
\(877\) | −24.5656 | + | 6.58233i | −0.829521 | + | 0.222269i | −0.648505 | − | 0.761211i | \(-0.724605\pi\) |
−0.181016 | + | 0.983480i | \(0.557939\pi\) | |||||||
\(878\) | −3.80037 | + | 14.1832i | −0.128256 | + | 0.478659i | ||||
\(879\) | −18.5275 | − | 53.3436i | −0.624916 | − | 1.79923i | ||||
\(880\) | 3.55576 | + | 1.47493i | 0.119865 | + | 0.0497197i | ||||
\(881\) | 42.8833i | 1.44478i | 0.691488 | + | 0.722388i | \(0.256955\pi\) | ||||
−0.691488 | + | 0.722388i | \(0.743045\pi\) | |||||||
\(882\) | −16.0300 | + | 13.5661i | −0.539758 | + | 0.456794i | ||||
\(883\) | 2.85947 | − | 2.85947i | 0.0962290 | − | 0.0962290i | −0.657353 | − | 0.753582i | \(-0.728324\pi\) |
0.753582 | + | 0.657353i | \(0.228324\pi\) | |||||||
\(884\) | 2.99988 | − | 5.19595i | 0.100897 | − | 0.174759i | ||||
\(885\) | 40.0787 | + | 13.3133i | 1.34723 | + | 0.447520i | ||||
\(886\) | −3.63909 | − | 6.30308i | −0.122258 | − | 0.211756i | ||||
\(887\) | −5.20994 | − | 19.4438i | −0.174933 | − | 0.652858i | −0.996563 | − | 0.0828372i | \(-0.973602\pi\) |
0.821630 | − | 0.570021i | \(-0.193065\pi\) | |||||||
\(888\) | 4.86582 | + | 7.17241i | 0.163286 | + | 0.240690i | ||||
\(889\) | 11.0496 | − | 8.77896i | 0.370593 | − | 0.294437i | ||||
\(890\) | −4.45921 | + | 5.80534i | −0.149473 | + | 0.194596i | ||||
\(891\) | 4.42988 | + | 14.8473i | 0.148407 | + | 0.497402i | ||||
\(892\) | −1.81381 | + | 6.76921i | −0.0607307 | + | 0.226650i | ||||
\(893\) | 6.78041 | − | 25.3048i | 0.226898 | − | 0.846794i | ||||
\(894\) | 17.5676 | + | 15.1890i | 0.587550 | + | 0.507996i | ||||
\(895\) | 7.91019 | − | 1.03737i | 0.264409 | − | 0.0346756i | ||||
\(896\) | 0.389569 | + | 2.61691i | 0.0130146 | + | 0.0874249i | ||||
\(897\) | 26.4597 | − | 17.9505i | 0.883462 | − | 0.599348i | ||||
\(898\) | −8.38758 | − | 31.3029i | −0.279897 | − | 1.04459i | ||||
\(899\) | −9.58701 | − | 16.6052i | −0.319745 | − | 0.553814i | ||||
\(900\) | 5.92100 | + | 13.7819i | 0.197367 | + | 0.459398i | ||||
\(901\) | 16.8507 | − | 29.1862i | 0.561377 | − | 0.972333i | ||||
\(902\) | −7.02082 | + | 7.02082i | −0.233768 | + | 0.233768i | ||||
\(903\) | −1.88805 | − | 8.43245i | −0.0628303 | − | 0.280614i | ||||
\(904\) | 6.37263i | 0.211951i | ||||||||
\(905\) | 19.2343 | − | 46.3702i | 0.639371 | − | 1.54140i | ||||
\(906\) | −8.96318 | + | 3.11312i | −0.297782 | + | 0.103427i | ||||
\(907\) | 3.66762 | − | 13.6878i | 0.121781 | − | 0.454494i | −0.877923 | − | 0.478802i | \(-0.841071\pi\) |
0.999705 | + | 0.0243072i | \(0.00773798\pi\) | |||||||
\(908\) | 23.5933 | − | 6.32181i | 0.782971 | − | 0.209796i | ||||
\(909\) | 22.0519 | + | 8.77259i | 0.731417 | + | 0.290969i | ||||
\(910\) | 7.36256 | + | 12.2832i | 0.244067 | + | 0.407183i | ||||
\(911\) | − | 8.31142i | − | 0.275370i | −0.990476 | − | 0.137685i | \(-0.956034\pi\) | ||
0.990476 | − | 0.137685i | \(-0.0439661\pi\) | |||||||
\(912\) | −7.47904 | + | 0.543098i | −0.247656 | + | 0.0179838i | ||||
\(913\) | −3.92683 | − | 1.05219i | −0.129959 | − | 0.0348225i | ||||
\(914\) | 4.77602 | + | 8.27231i | 0.157977 | + | 0.273624i | ||||
\(915\) | −6.59272 | − | 32.0472i | −0.217949 | − | 1.05945i | ||||
\(916\) | −1.81183 | −0.0598647 | ||||||||
\(917\) | 15.7518 | − | 21.2619i | 0.520171 | − | 0.702130i | ||||
\(918\) | −12.5757 | + | 2.77874i | −0.415061 | + | 0.0917121i | ||||
\(919\) | 8.31275 | + | 4.79937i | 0.274212 | + | 0.158316i | 0.630800 | − | 0.775945i | \(-0.282727\pi\) |
−0.356588 | + | 0.934262i | \(0.616060\pi\) | |||||||
\(920\) | −13.5339 | + | 10.3742i | −0.446199 | + | 0.342026i | ||||
\(921\) | −5.59294 | − | 16.1030i | −0.184294 | − | 0.530612i | ||||
\(922\) | −19.9133 | + | 5.33574i | −0.655808 | + | 0.175723i | ||||
\(923\) | −18.6784 | − | 18.6784i | −0.614808 | − | 0.614808i | ||||
\(924\) | −3.65753 | − | 6.99010i | −0.120324 | − | 0.229958i | ||||
\(925\) | −21.6554 | − | 12.5316i | −0.712025 | − | 0.412037i | ||||
\(926\) | 26.2212 | + | 15.1388i | 0.861683 | + | 0.497493i | ||||
\(927\) | −24.7420 | + | 33.2020i | −0.812635 | + | 1.09050i | ||||
\(928\) | −3.37245 | − | 0.903644i | −0.110706 | − | 0.0296636i | ||||
\(929\) | −1.09625 | + | 1.89876i | −0.0359667 | + | 0.0622962i | −0.883448 | − | 0.468528i | \(-0.844784\pi\) |
0.847482 | + | 0.530825i | \(0.178118\pi\) | |||||||
\(930\) | 1.25228 | − | 21.2326i | 0.0410638 | − | 0.696245i | ||||
\(931\) | 22.1406 | + | 20.6938i | 0.725627 | + | 0.678213i | ||||
\(932\) | 1.33320 | − | 1.33320i | 0.0436705 | − | 0.0436705i | ||||
\(933\) | −15.3184 | + | 1.11236i | −0.501502 | + | 0.0364170i | ||||
\(934\) | −23.0509 | + | 13.3084i | −0.754249 | + | 0.435466i | ||||
\(935\) | 1.25012 | − | 9.45909i | 0.0408834 | − | 0.309345i | ||||
\(936\) | 4.50146 | + | 5.69848i | 0.147135 | + | 0.186261i | ||||
\(937\) | 26.2254 | + | 26.2254i | 0.856748 | + | 0.856748i | 0.990954 | − | 0.134206i | \(-0.0428482\pi\) |
−0.134206 | + | 0.990954i | \(0.542848\pi\) | |||||||
\(938\) | 4.12238 | − | 35.9985i | 0.134601 | − | 1.17539i | ||||
\(939\) | 1.88809 | − | 9.85408i | 0.0616155 | − | 0.321576i | ||||
\(940\) | 12.5032 | − | 5.17170i | 0.407811 | − | 0.168682i | ||||
\(941\) | −17.9055 | + | 10.3377i | −0.583702 | + | 0.337000i | −0.762603 | − | 0.646867i | \(-0.776079\pi\) |
0.178902 | + | 0.983867i | \(0.442746\pi\) | |||||||
\(942\) | −17.2221 | − | 8.34284i | −0.561128 | − | 0.271824i | ||||
\(943\) | −11.3836 | − | 42.4843i | −0.370702 | − | 1.38348i | ||||
\(944\) | −10.9043 | −0.354904 | ||||||||
\(945\) | 8.78309 | − | 29.4594i | 0.285714 | − | 0.958315i | ||||
\(946\) | 3.24630 | 0.105546 | ||||||||
\(947\) | 5.28781 | + | 19.7344i | 0.171831 | + | 0.641281i | 0.997070 | + | 0.0764972i | \(0.0243736\pi\) |
−0.825239 | + | 0.564783i | \(0.808960\pi\) | |||||||
\(948\) | 5.36103 | + | 2.59702i | 0.174118 | + | 0.0843471i | ||||
\(949\) | 6.88426 | − | 3.97463i | 0.223472 | − | 0.129022i | ||||
\(950\) | 18.7576 | − | 10.8047i | 0.608578 | − | 0.350552i | ||||
\(951\) | 1.38461 | − | 7.22639i | 0.0448991 | − | 0.234332i | ||||
\(952\) | 6.01530 | − | 2.61144i | 0.194957 | − | 0.0846371i | ||||
\(953\) | 23.8399 | + | 23.8399i | 0.772251 | + | 0.772251i | 0.978500 | − | 0.206249i | \(-0.0661257\pi\) |
−0.206249 | + | 0.978500i | \(0.566126\pi\) | |||||||
\(954\) | 25.2852 | + | 32.0090i | 0.818637 | + | 1.03633i | ||||
\(955\) | −41.0616 | + | 31.4751i | −1.32872 | + | 1.01851i | ||||
\(956\) | 6.35398 | − | 3.66847i | 0.205502 | − | 0.118647i | ||||
\(957\) | 10.3834 | − | 0.754005i | 0.335649 | − | 0.0243735i | ||||
\(958\) | 22.1507 | − | 22.1507i | 0.715657 | − | 0.715657i | ||||
\(959\) | 2.40623 | − | 6.09832i | 0.0777011 | − | 0.196925i | ||||
\(960\) | −2.57262 | − | 2.89510i | −0.0830310 | − | 0.0934390i | ||||
\(961\) | 0.420261 | − | 0.727914i | 0.0135568 | − | 0.0234811i | ||||
\(962\) | −11.7002 | − | 3.13505i | −0.377228 | − | 0.101078i | ||||
\(963\) | 36.3092 | − | 48.7243i | 1.17005 | − | 1.57012i | ||||
\(964\) | −12.1921 | − | 7.03912i | −0.392682 | − | 0.226715i | ||||
\(965\) | 21.9081 | − | 28.5216i | 0.705246 | − | 0.918144i | ||||
\(966\) | 34.9172 | + | 1.45094i | 1.12344 | + | 0.0466832i | ||||
\(967\) | 27.2454 | + | 27.2454i | 0.876152 | + | 0.876152i | 0.993134 | − | 0.116982i | \(-0.0373219\pi\) |
−0.116982 | + | 0.993134i | \(0.537322\pi\) | |||||||
\(968\) | −7.76241 | + | 2.07993i | −0.249493 | + | 0.0668515i | ||||
\(969\) | 6.09807 | + | 17.5573i | 0.195898 | + | 0.564023i | ||||
\(970\) | 21.5390 | + | 28.0992i | 0.691574 | + | 0.902210i | ||||
\(971\) | 19.3176 | + | 11.1530i | 0.619933 | + | 0.357918i | 0.776843 | − | 0.629695i | \(-0.216820\pi\) |
−0.156910 | + | 0.987613i | \(0.550153\pi\) | |||||||
\(972\) | 2.50130 | − | 15.3865i | 0.0802291 | − | 0.493521i | ||||
\(973\) | 9.40797 | + | 1.07736i | 0.301606 | + | 0.0345385i | ||||
\(974\) | 3.94379 | 0.126367 | ||||||||
\(975\) | −18.8572 | − | 9.15816i | −0.603913 | − | 0.293296i | ||||
\(976\) | 4.22391 | + | 7.31603i | 0.135204 | + | 0.234181i | ||||
\(977\) | −46.5829 | − | 12.4818i | −1.49032 | − | 0.399330i | −0.580474 | − | 0.814279i | \(-0.697133\pi\) |
−0.909845 | + | 0.414949i | \(0.863799\pi\) | |||||||
\(978\) | 8.59620 | − | 0.624222i | 0.274876 | − | 0.0199604i | ||||
\(979\) | 5.63592i | 0.180125i | ||||||||
\(980\) | −1.52584 | + | 15.5779i | −0.0487412 | + | 0.497619i | ||||
\(981\) | 21.2886 | + | 8.46891i | 0.679691 | + | 0.270391i | ||||
\(982\) | −17.1179 | + | 4.58672i | −0.546254 | + | 0.146368i | ||||
\(983\) | −3.30152 | + | 12.3214i | −0.105302 | + | 0.392993i | −0.998379 | − | 0.0569107i | \(-0.981875\pi\) |
0.893077 | + | 0.449904i | \(0.148542\pi\) | |||||||
\(984\) | 9.43647 | − | 3.27751i | 0.300824 | − | 0.104483i | ||||
\(985\) | 5.45560 | + | 13.1896i | 0.173830 | + | 0.420257i | ||||
\(986\) | 8.65374i | 0.275591i | ||||||||
\(987\) | −26.4636 | − | 8.28278i | −0.842345 | − | 0.263644i | ||||
\(988\) | 7.41043 | − | 7.41043i | 0.235757 | − | 0.235757i | ||||
\(989\) | −7.19019 | + | 12.4538i | −0.228635 | + | 0.396007i | ||||
\(990\) | 10.0788 | + | 5.63796i | 0.320326 | + | 0.179186i | ||||
\(991\) | 20.9965 | + | 36.3671i | 0.666977 | + | 1.15524i | 0.978745 | + | 0.205080i | \(0.0657456\pi\) |
−0.311768 | + | 0.950158i | \(0.600921\pi\) | |||||||
\(992\) | 1.42137 | + | 5.30464i | 0.0451286 | + | 0.168422i | ||||
\(993\) | −7.75301 | + | 5.25971i | −0.246034 | + | 0.166912i | ||||
\(994\) | −4.25117 | − | 28.5570i | −0.134839 | − | 0.905774i | ||||
\(995\) | 0.629139 | + | 4.79731i | 0.0199450 | + | 0.152085i | ||||
\(996\) | 3.09403 | + | 2.67510i | 0.0980382 | + | 0.0847638i | ||||
\(997\) | 9.88552 | − | 36.8933i | 0.313078 | − | 1.16842i | −0.612688 | − | 0.790325i | \(-0.709912\pi\) |
0.925766 | − | 0.378097i | \(-0.123421\pi\) | |||||||
\(998\) | −4.39882 | + | 16.4166i | −0.139242 | + | 0.519659i | ||||
\(999\) | 11.9900 | + | 23.0720i | 0.379347 | + | 0.729966i |
(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 | 210.2.x.a.107.8 | yes | 64 | |
3.2 | odd | 2 | inner | 210.2.x.a.107.16 | yes | 64 | |
5.3 | odd | 4 | inner | 210.2.x.a.23.4 | ✓ | 64 | |
7.4 | even | 3 | inner | 210.2.x.a.137.11 | yes | 64 | |
15.8 | even | 4 | inner | 210.2.x.a.23.11 | yes | 64 | |
21.11 | odd | 6 | inner | 210.2.x.a.137.4 | yes | 64 | |
35.18 | odd | 12 | inner | 210.2.x.a.53.16 | yes | 64 | |
105.53 | even | 12 | inner | 210.2.x.a.53.8 | yes | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
210.2.x.a.23.4 | ✓ | 64 | 5.3 | odd | 4 | inner | |
210.2.x.a.23.11 | yes | 64 | 15.8 | even | 4 | inner | |
210.2.x.a.53.8 | yes | 64 | 105.53 | even | 12 | inner | |
210.2.x.a.53.16 | yes | 64 | 35.18 | odd | 12 | inner | |
210.2.x.a.107.8 | yes | 64 | 1.1 | even | 1 | trivial | |
210.2.x.a.107.16 | yes | 64 | 3.2 | odd | 2 | inner | |
210.2.x.a.137.4 | yes | 64 | 21.11 | odd | 6 | inner | |
210.2.x.a.137.11 | yes | 64 | 7.4 | even | 3 | inner |