Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [360,2,Mod(61,360)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(360, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 3, 4, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("360.61");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 360 = 2^{3} \cdot 3^{2} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 360.bf (of order \(6\), degree \(2\), 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: | \(92\) |
Relative dimension: | \(46\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 61.11 | ||
Character | \(\chi\) | \(=\) | 360.61 |
Dual form | 360.2.bf.b.301.11 |
$q$-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 \(\left(\mathbb{Z}/360\mathbb{Z}\right)^\times\).
\(n\) | \(181\) | \(217\) | \(271\) | \(281\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(1\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.941863 | + | 1.05494i | −0.665998 | + | 0.745954i | ||||
\(3\) | 0.904267 | + | 1.47726i | 0.522079 | + | 0.852897i | ||||
\(4\) | −0.225788 | − | 1.98721i | −0.112894 | − | 0.993607i | ||||
\(5\) | 0.866025 | − | 0.500000i | 0.387298 | − | 0.223607i | ||||
\(6\) | −2.41011 | − | 0.437433i | −0.983925 | − | 0.178581i | ||||
\(7\) | −0.852557 | + | 1.47667i | −0.322236 | + | 0.558130i | −0.980949 | − | 0.194265i | \(-0.937768\pi\) |
0.658713 | + | 0.752394i | \(0.271101\pi\) | |||||||
\(8\) | 2.30905 | + | 1.63349i | 0.816372 | + | 0.577526i | ||||
\(9\) | −1.36460 | + | 2.67168i | −0.454868 | + | 0.890559i | ||||
\(10\) | −0.288208 | + | 1.38453i | −0.0911394 | + | 0.437828i | ||||
\(11\) | −0.737384 | − | 0.425729i | −0.222330 | − | 0.128362i | 0.384699 | − | 0.923042i | \(-0.374305\pi\) |
−0.607029 | + | 0.794680i | \(0.707639\pi\) | |||||||
\(12\) | 2.73146 | − | 2.13052i | 0.788505 | − | 0.615028i | ||||
\(13\) | −4.22116 | + | 2.43709i | −1.17074 | + | 0.675927i | −0.953854 | − | 0.300271i | \(-0.902923\pi\) |
−0.216885 | + | 0.976197i | \(0.569590\pi\) | |||||||
\(14\) | −0.754806 | − | 2.29022i | −0.201730 | − | 0.612086i | ||||
\(15\) | 1.52175 | + | 0.827213i | 0.392914 | + | 0.213585i | ||||
\(16\) | −3.89804 | + | 0.897380i | −0.974510 | + | 0.224345i | ||||
\(17\) | 7.43805 | 1.80399 | 0.901996 | − | 0.431745i | \(-0.142102\pi\) | ||||
0.901996 | + | 0.431745i | \(0.142102\pi\) | |||||||
\(18\) | −1.53318 | − | 3.95593i | −0.361375 | − | 0.932421i | ||||
\(19\) | 7.60011i | 1.74359i | 0.489875 | + | 0.871793i | \(0.337043\pi\) | ||||
−0.489875 | + | 0.871793i | \(0.662957\pi\) | |||||||
\(20\) | −1.18915 | − | 1.60808i | −0.265901 | − | 0.359578i | ||||
\(21\) | −2.95237 | + | 0.0758557i | −0.644260 | + | 0.0165531i | ||||
\(22\) | 1.14363 | − | 0.376916i | 0.243823 | − | 0.0803588i | ||||
\(23\) | 4.11536 | + | 7.12801i | 0.858112 | + | 1.48629i | 0.873728 | + | 0.486416i | \(0.161696\pi\) |
−0.0156156 | + | 0.999878i | \(0.504971\pi\) | |||||||
\(24\) | −0.325096 | + | 4.88818i | −0.0663599 | + | 0.997796i | ||||
\(25\) | 0.500000 | − | 0.866025i | 0.100000 | − | 0.173205i | ||||
\(26\) | 1.40478 | − | 6.74846i | 0.275500 | − | 1.32348i | ||||
\(27\) | −5.18073 | + | 0.400032i | −0.997032 | + | 0.0769862i | ||||
\(28\) | 3.12696 | + | 1.36080i | 0.590940 | + | 0.257167i | ||||
\(29\) | −4.18548 | − | 2.41649i | −0.777225 | − | 0.448731i | 0.0582210 | − | 0.998304i | \(-0.481457\pi\) |
−0.835446 | + | 0.549573i | \(0.814791\pi\) | |||||||
\(30\) | −2.30594 | + | 0.826230i | −0.421005 | + | 0.150848i | ||||
\(31\) | −3.07536 | − | 5.32668i | −0.552351 | − | 0.956700i | −0.998104 | − | 0.0615445i | \(-0.980397\pi\) |
0.445753 | − | 0.895156i | \(-0.352936\pi\) | |||||||
\(32\) | 2.72474 | − | 4.95740i | 0.481670 | − | 0.876353i | ||||
\(33\) | −0.0378789 | − | 1.47428i | −0.00659387 | − | 0.256639i | ||||
\(34\) | −7.00562 | + | 7.84668i | −1.20145 | + | 1.34569i | ||||
\(35\) | 1.70511i | 0.288217i | ||||||||
\(36\) | 5.61731 | + | 2.10853i | 0.936218 | + | 0.351421i | ||||
\(37\) | − | 7.68482i | − | 1.26338i | −0.775222 | − | 0.631688i | \(-0.782362\pi\) | ||
0.775222 | − | 0.631688i | \(-0.217638\pi\) | |||||||
\(38\) | −8.01765 | − | 7.15827i | −1.30063 | − | 1.16122i | ||||
\(39\) | −7.41727 | − | 4.03198i | −1.18771 | − | 0.645634i | ||||
\(40\) | 2.81644 | + | 0.260119i | 0.445318 | + | 0.0411285i | ||||
\(41\) | −2.44095 | − | 4.22785i | −0.381213 | − | 0.660280i | 0.610023 | − | 0.792384i | \(-0.291160\pi\) |
−0.991236 | + | 0.132104i | \(0.957827\pi\) | |||||||
\(42\) | 2.70070 | − | 3.18601i | 0.416728 | − | 0.491612i | ||||
\(43\) | 3.16629 | + | 1.82806i | 0.482855 | + | 0.278777i | 0.721606 | − | 0.692304i | \(-0.243404\pi\) |
−0.238750 | + | 0.971081i | \(0.576738\pi\) | |||||||
\(44\) | −0.679522 | + | 1.56146i | −0.102442 | + | 0.235400i | ||||
\(45\) | 0.154057 | + | 2.99604i | 0.0229655 | + | 0.446624i | ||||
\(46\) | −11.3957 | − | 2.37216i | −1.68021 | − | 0.349756i | ||||
\(47\) | 1.21316 | − | 2.10125i | 0.176958 | − | 0.306499i | −0.763879 | − | 0.645359i | \(-0.776708\pi\) |
0.940837 | + | 0.338860i | \(0.110041\pi\) | |||||||
\(48\) | −4.85053 | − | 4.94695i | −0.700114 | − | 0.714031i | ||||
\(49\) | 2.04629 | + | 3.54428i | 0.292328 | + | 0.506326i | ||||
\(50\) | 0.442672 | + | 1.34315i | 0.0626032 | + | 0.189950i | ||||
\(51\) | 6.72598 | + | 10.9879i | 0.941825 | + | 1.53862i | ||||
\(52\) | 5.79610 | + | 7.83808i | 0.803775 | + | 1.08695i | ||||
\(53\) | − | 3.34041i | − | 0.458840i | −0.973327 | − | 0.229420i | \(-0.926317\pi\) | ||
0.973327 | − | 0.229420i | \(-0.0736830\pi\) | |||||||
\(54\) | 4.45753 | − | 5.84213i | 0.606593 | − | 0.795013i | ||||
\(55\) | −0.851458 | −0.114811 | ||||||||
\(56\) | −4.38073 | + | 2.01707i | −0.585399 | + | 0.269542i | ||||
\(57\) | −11.2274 | + | 6.87253i | −1.48710 | + | 0.910289i | ||||
\(58\) | 6.49140 | − | 2.13942i | 0.852363 | − | 0.280920i | ||||
\(59\) | 7.56333 | − | 4.36669i | 0.984662 | − | 0.568495i | 0.0809874 | − | 0.996715i | \(-0.474193\pi\) |
0.903674 | + | 0.428220i | \(0.140859\pi\) | |||||||
\(60\) | 1.30026 | − | 3.21082i | 0.167862 | − | 0.414514i | ||||
\(61\) | 0.108378 | + | 0.0625723i | 0.0138764 | + | 0.00801156i | 0.506922 | − | 0.861992i | \(-0.330783\pi\) |
−0.493046 | + | 0.870003i | \(0.664116\pi\) | |||||||
\(62\) | 8.51589 | + | 1.77269i | 1.08152 | + | 0.225132i | ||||
\(63\) | −2.78179 | − | 4.29283i | −0.350472 | − | 0.540846i | ||||
\(64\) | 2.66342 | + | 7.54362i | 0.332927 | + | 0.942952i | ||||
\(65\) | −2.43709 | + | 4.22116i | −0.302284 | + | 0.523570i | ||||
\(66\) | 1.59095 | + | 1.34861i | 0.195833 | + | 0.166003i | ||||
\(67\) | −3.09693 | + | 1.78801i | −0.378350 | + | 0.218441i | −0.677100 | − | 0.735891i | \(-0.736764\pi\) |
0.298750 | + | 0.954331i | \(0.403430\pi\) | |||||||
\(68\) | −1.67943 | − | 14.7810i | −0.203660 | − | 1.79246i | ||||
\(69\) | −6.80856 | + | 12.5251i | −0.819654 | + | 1.50784i | ||||
\(70\) | −1.79879 | − | 1.60598i | −0.214996 | − | 0.191952i | ||||
\(71\) | 15.7764 | 1.87232 | 0.936158 | − | 0.351579i | \(-0.114355\pi\) | ||||
0.936158 | + | 0.351579i | \(0.114355\pi\) | |||||||
\(72\) | −7.51510 | + | 3.93997i | −0.885662 | + | 0.464330i | ||||
\(73\) | 8.62423 | 1.00939 | 0.504695 | − | 0.863298i | \(-0.331605\pi\) | ||||
0.504695 | + | 0.863298i | \(0.331605\pi\) | |||||||
\(74\) | 8.10701 | + | 7.23805i | 0.942421 | + | 0.841406i | ||||
\(75\) | 1.73148 | − | 0.0444871i | 0.199934 | − | 0.00513693i | ||||
\(76\) | 15.1031 | − | 1.71602i | 1.73244 | − | 0.196841i | ||||
\(77\) | 1.25732 | − | 0.725916i | 0.143285 | − | 0.0827258i | ||||
\(78\) | 11.2395 | − | 4.02719i | 1.27263 | − | 0.455989i | ||||
\(79\) | 0.740352 | − | 1.28233i | 0.0832961 | − | 0.144273i | −0.821368 | − | 0.570399i | \(-0.806789\pi\) |
0.904664 | + | 0.426126i | \(0.140122\pi\) | |||||||
\(80\) | −2.92711 | + | 2.72617i | −0.327261 | + | 0.304795i | ||||
\(81\) | −5.27571 | − | 7.29156i | −0.586191 | − | 0.810173i | ||||
\(82\) | 6.75917 | + | 1.40701i | 0.746425 | + | 0.155378i | ||||
\(83\) | 1.25235 | + | 0.723044i | 0.137463 | + | 0.0793644i | 0.567154 | − | 0.823611i | \(-0.308044\pi\) |
−0.429691 | + | 0.902976i | \(0.641378\pi\) | |||||||
\(84\) | 0.817353 | + | 5.84986i | 0.0891805 | + | 0.638272i | ||||
\(85\) | 6.44154 | − | 3.71902i | 0.698683 | − | 0.403385i | ||||
\(86\) | −4.91071 | + | 1.61846i | −0.529535 | + | 0.174523i | ||||
\(87\) | −0.215006 | − | 8.36821i | −0.0230510 | − | 0.897166i | ||||
\(88\) | −1.00723 | − | 2.18754i | −0.107371 | − | 0.233192i | ||||
\(89\) | −6.86356 | −0.727536 | −0.363768 | − | 0.931490i | \(-0.618510\pi\) | ||||
−0.363768 | + | 0.931490i | \(0.618510\pi\) | |||||||
\(90\) | −3.30574 | − | 2.65934i | −0.348455 | − | 0.280319i | ||||
\(91\) | − | 8.31103i | − | 0.871232i | ||||||
\(92\) | 13.2357 | − | 9.78753i | 1.37992 | − | 1.02042i | ||||
\(93\) | 5.08796 | − | 9.35986i | 0.527597 | − | 0.970572i | ||||
\(94\) | 1.07406 | + | 3.25890i | 0.110781 | + | 0.336130i | ||||
\(95\) | 3.80006 | + | 6.58189i | 0.389878 | + | 0.675288i | ||||
\(96\) | 9.78726 | − | 0.457660i | 0.998909 | − | 0.0467097i | ||||
\(97\) | 5.69679 | − | 9.86713i | 0.578421 | − | 1.00185i | −0.417239 | − | 0.908797i | \(-0.637002\pi\) |
0.995661 | − | 0.0930583i | \(-0.0296643\pi\) | |||||||
\(98\) | −5.66633 | − | 1.17952i | −0.572385 | − | 0.119149i | ||||
\(99\) | 2.14365 | − | 1.38910i | 0.215445 | − | 0.139610i | ||||
\(100\) | −1.83387 | − | 0.798068i | −0.183387 | − | 0.0798068i | ||||
\(101\) | −2.27107 | − | 1.31120i | −0.225980 | − | 0.130469i | 0.382736 | − | 0.923858i | \(-0.374982\pi\) |
−0.608716 | + | 0.793388i | \(0.708315\pi\) | |||||||
\(102\) | −17.9265 | − | 3.25364i | −1.77499 | − | 0.322159i | ||||
\(103\) | 1.62029 | + | 2.80642i | 0.159651 | + | 0.276524i | 0.934743 | − | 0.355324i | \(-0.115630\pi\) |
−0.775092 | + | 0.631849i | \(0.782296\pi\) | |||||||
\(104\) | −13.7278 | − | 1.26787i | −1.34612 | − | 0.124325i | ||||
\(105\) | −2.51890 | + | 1.54188i | −0.245819 | + | 0.150472i | ||||
\(106\) | 3.52392 | + | 3.14621i | 0.342274 | + | 0.305587i | ||||
\(107\) | 12.8339i | 1.24070i | 0.784324 | + | 0.620352i | \(0.213010\pi\) | ||||
−0.784324 | + | 0.620352i | \(0.786990\pi\) | |||||||
\(108\) | 1.96470 | + | 10.2049i | 0.189053 | + | 0.981967i | ||||
\(109\) | 0.591519i | 0.0566573i | 0.999599 | + | 0.0283286i | \(0.00901849\pi\) | ||||
−0.999599 | + | 0.0283286i | \(0.990982\pi\) | |||||||
\(110\) | 0.801956 | − | 0.898235i | 0.0764635 | − | 0.0856434i | ||||
\(111\) | 11.3525 | − | 6.94913i | 1.07753 | − | 0.659582i | ||||
\(112\) | 1.99816 | − | 6.52119i | 0.188809 | − | 0.616195i | ||||
\(113\) | 2.43920 | + | 4.22482i | 0.229461 | + | 0.397438i | 0.957648 | − | 0.287940i | \(-0.0929704\pi\) |
−0.728188 | + | 0.685378i | \(0.759637\pi\) | |||||||
\(114\) | 3.32454 | − | 18.3171i | 0.311371 | − | 1.71556i | ||||
\(115\) | 7.12801 | + | 4.11536i | 0.664691 | + | 0.383759i | ||||
\(116\) | −3.85705 | + | 8.86307i | −0.358118 | + | 0.822915i | ||||
\(117\) | −0.750902 | − | 14.6032i | −0.0694209 | − | 1.35007i | ||||
\(118\) | −2.51703 | + | 12.0917i | −0.231712 | + | 1.11313i | ||||
\(119\) | −6.34136 | + | 10.9836i | −0.581311 | + | 1.00686i | ||||
\(120\) | 2.16255 | + | 4.39584i | 0.197413 | + | 0.401283i | ||||
\(121\) | −5.13751 | − | 8.89843i | −0.467046 | − | 0.808948i | ||||
\(122\) | −0.168087 | + | 0.0553980i | −0.0152179 | + | 0.00501550i | ||||
\(123\) | 4.03838 | − | 7.42903i | 0.364128 | − | 0.669854i | ||||
\(124\) | −9.89088 | + | 7.31411i | −0.888227 | + | 0.656826i | ||||
\(125\) | − | 1.00000i | − | 0.0894427i | ||||||
\(126\) | 7.14873 | + | 1.10864i | 0.636860 | + | 0.0987657i | ||||
\(127\) | −6.90715 | −0.612911 | −0.306455 | − | 0.951885i | \(-0.599143\pi\) | ||||
−0.306455 | + | 0.951885i | \(0.599143\pi\) | |||||||
\(128\) | −10.4666 | − | 4.29531i | −0.925128 | − | 0.379656i | ||||
\(129\) | 0.162650 | + | 6.33050i | 0.0143206 | + | 0.557370i | ||||
\(130\) | −2.15766 | − | 6.54673i | −0.189239 | − | 0.574186i | ||||
\(131\) | 7.42527 | − | 4.28698i | 0.648749 | − | 0.374555i | −0.139228 | − | 0.990260i | \(-0.544462\pi\) |
0.787977 | + | 0.615705i | \(0.211129\pi\) | |||||||
\(132\) | −2.92116 | + | 0.408149i | −0.254254 | + | 0.0355248i | ||||
\(133\) | −11.2229 | − | 6.47953i | −0.973147 | − | 0.561847i | ||||
\(134\) | 1.03064 | − | 4.95113i | 0.0890337 | − | 0.427713i | ||||
\(135\) | −4.28663 | + | 2.93680i | −0.368934 | + | 0.252760i | ||||
\(136\) | 17.1748 | + | 12.1500i | 1.47273 | + | 1.04185i | ||||
\(137\) | 2.40160 | − | 4.15970i | 0.205183 | − | 0.355387i | −0.745008 | − | 0.667055i | \(-0.767554\pi\) |
0.950191 | + | 0.311668i | \(0.100888\pi\) | |||||||
\(138\) | −6.80047 | − | 18.9795i | −0.578894 | − | 1.61564i | ||||
\(139\) | 1.84254 | − | 1.06379i | 0.156282 | − | 0.0902297i | −0.419819 | − | 0.907608i | \(-0.637907\pi\) |
0.576102 | + | 0.817378i | \(0.304573\pi\) | |||||||
\(140\) | 3.38843 | − | 0.384995i | 0.286374 | − | 0.0325380i | ||||
\(141\) | 4.20112 | − | 0.107940i | 0.353798 | − | 0.00909019i | ||||
\(142\) | −14.8592 | + | 16.6431i | −1.24696 | + | 1.39666i | ||||
\(143\) | 4.15015 | 0.347053 | ||||||||
\(144\) | 2.92177 | − | 11.6389i | 0.243481 | − | 0.969906i | ||||
\(145\) | −4.83298 | −0.401357 | ||||||||
\(146\) | −8.12285 | + | 9.09803i | −0.672252 | + | 0.752959i | ||||
\(147\) | −3.38544 | + | 6.22789i | −0.279226 | + | 0.513668i | ||||
\(148\) | −15.2714 | + | 1.73514i | −1.25530 | + | 0.142628i | ||||
\(149\) | 9.01464 | − | 5.20460i | 0.738508 | − | 0.426378i | −0.0830186 | − | 0.996548i | \(-0.526456\pi\) |
0.821527 | + | 0.570170i | \(0.193123\pi\) | |||||||
\(150\) | −1.58389 | + | 1.86850i | −0.129324 | + | 0.152563i | ||||
\(151\) | 2.35233 | − | 4.07436i | 0.191430 | − | 0.331567i | −0.754294 | − | 0.656536i | \(-0.772021\pi\) |
0.945724 | + | 0.324970i | \(0.105354\pi\) | |||||||
\(152\) | −12.4147 | + | 17.5490i | −1.00697 | + | 1.42342i | ||||
\(153\) | −10.1500 | + | 19.8721i | −0.820578 | + | 1.60656i | ||||
\(154\) | −0.418430 | + | 2.01011i | −0.0337181 | + | 0.161979i | ||||
\(155\) | −5.32668 | − | 3.07536i | −0.427849 | − | 0.247019i | ||||
\(156\) | −6.33767 | + | 15.6501i | −0.507420 | + | 1.25301i | ||||
\(157\) | −1.24208 | + | 0.717118i | −0.0991292 | + | 0.0572322i | −0.548745 | − | 0.835990i | \(-0.684894\pi\) |
0.449616 | + | 0.893222i | \(0.351561\pi\) | |||||||
\(158\) | 0.655466 | + | 1.98880i | 0.0521461 | + | 0.158221i | ||||
\(159\) | 4.93466 | − | 3.02062i | 0.391344 | − | 0.239551i | ||||
\(160\) | −0.119007 | − | 5.65560i | −0.00940832 | − | 0.447115i | ||||
\(161\) | −14.0343 | −1.10606 | ||||||||
\(162\) | 12.6611 | + | 1.30210i | 0.994753 | + | 0.102302i | ||||
\(163\) | − | 11.9422i | − | 0.935382i | −0.883892 | − | 0.467691i | \(-0.845086\pi\) | ||
0.883892 | − | 0.467691i | \(-0.154914\pi\) | |||||||
\(164\) | −7.85051 | + | 5.80530i | −0.613022 | + | 0.453318i | ||||
\(165\) | −0.769945 | − | 1.25783i | −0.0599401 | − | 0.0979216i | ||||
\(166\) | −1.94231 | + | 0.640142i | −0.150752 | + | 0.0496847i | ||||
\(167\) | 1.25891 | + | 2.18050i | 0.0974174 | + | 0.168732i | 0.910615 | − | 0.413256i | \(-0.135609\pi\) |
−0.813198 | + | 0.581988i | \(0.802275\pi\) | |||||||
\(168\) | −6.94108 | − | 4.64751i | −0.535516 | − | 0.358563i | ||||
\(169\) | 5.37879 | − | 9.31634i | 0.413753 | − | 0.716642i | ||||
\(170\) | −2.14371 | + | 10.2982i | −0.164415 | + | 0.789838i | ||||
\(171\) | −20.3050 | − | 10.3711i | −1.55277 | − | 0.793101i | ||||
\(172\) | 2.91784 | − | 6.70486i | 0.222483 | − | 0.511241i | ||||
\(173\) | 5.12875 | + | 2.96109i | 0.389932 | + | 0.225127i | 0.682131 | − | 0.731230i | \(-0.261054\pi\) |
−0.292199 | + | 0.956358i | \(0.594387\pi\) | |||||||
\(174\) | 9.03045 | + | 7.65489i | 0.684596 | + | 0.580315i | ||||
\(175\) | 0.852557 | + | 1.47667i | 0.0644473 | + | 0.111626i | ||||
\(176\) | 3.25639 | + | 0.997794i | 0.245460 | + | 0.0752116i | ||||
\(177\) | 13.2900 | + | 7.22436i | 0.998939 | + | 0.543016i | ||||
\(178\) | 6.46454 | − | 7.24063i | 0.484537 | − | 0.542708i | ||||
\(179\) | − | 14.9307i | − | 1.11598i | −0.829849 | − | 0.557988i | \(-0.811573\pi\) | ||
0.829849 | − | 0.557988i | \(-0.188427\pi\) | |||||||
\(180\) | 5.91899 | − | 0.982616i | 0.441176 | − | 0.0732399i | ||||
\(181\) | − | 2.55761i | − | 0.190105i | −0.995472 | − | 0.0950527i | \(-0.969698\pi\) | ||
0.995472 | − | 0.0950527i | \(-0.0303020\pi\) | |||||||
\(182\) | 8.76762 | + | 7.82785i | 0.649899 | + | 0.580239i | ||||
\(183\) | 0.00556733 | + | 0.216685i | 0.000411549 | + | 0.0160178i | ||||
\(184\) | −2.14097 | + | 23.1813i | −0.157834 | + | 1.70895i | ||||
\(185\) | −3.84241 | − | 6.65525i | −0.282500 | − | 0.489304i | ||||
\(186\) | 5.08191 | + | 14.1832i | 0.372624 | + | 1.03996i | ||||
\(187\) | −5.48470 | − | 3.16659i | −0.401081 | − | 0.231564i | ||||
\(188\) | −4.44956 | − | 1.93637i | −0.324517 | − | 0.141224i | ||||
\(189\) | 3.82615 | − | 7.99129i | 0.278312 | − | 0.581281i | ||||
\(190\) | −10.5226 | − | 2.19042i | −0.763391 | − | 0.158909i | ||||
\(191\) | −7.53918 | + | 13.0582i | −0.545516 | + | 0.944861i | 0.453058 | + | 0.891481i | \(0.350333\pi\) |
−0.998574 | + | 0.0533803i | \(0.983000\pi\) | |||||||
\(192\) | −8.73546 | + | 10.7560i | −0.630427 | + | 0.776248i | ||||
\(193\) | 8.90043 | + | 15.4160i | 0.640667 | + | 1.10967i | 0.985284 | + | 0.170925i | \(0.0546755\pi\) |
−0.344617 | + | 0.938743i | \(0.611991\pi\) | |||||||
\(194\) | 5.04361 | + | 15.3032i | 0.362110 | + | 1.09871i | ||||
\(195\) | −8.43953 | + | 0.216838i | −0.604368 | + | 0.0155281i | ||||
\(196\) | 6.58122 | − | 4.86668i | 0.470087 | − | 0.347620i | ||||
\(197\) | 8.71136i | 0.620659i | 0.950629 | + | 0.310329i | \(0.100439\pi\) | ||||
−0.950629 | + | 0.310329i | \(0.899561\pi\) | |||||||
\(198\) | −0.553606 | + | 3.56976i | −0.0393431 | + | 0.253692i | ||||
\(199\) | −12.5026 | −0.886284 | −0.443142 | − | 0.896452i | \(-0.646136\pi\) | ||||
−0.443142 | + | 0.896452i | \(0.646136\pi\) | |||||||
\(200\) | 2.56917 | − | 1.18295i | 0.181668 | − | 0.0836472i | ||||
\(201\) | −5.44181 | − | 2.95813i | −0.383836 | − | 0.208651i | ||||
\(202\) | 3.52227 | − | 1.16086i | 0.247826 | − | 0.0816781i | ||||
\(203\) | 7.13673 | − | 4.12039i | 0.500900 | − | 0.289195i | ||||
\(204\) | 20.3167 | − | 15.8469i | 1.42246 | − | 1.10951i | ||||
\(205\) | −4.22785 | − | 2.44095i | −0.295286 | − | 0.170484i | ||||
\(206\) | −4.48668 | − | 0.933959i | −0.312602 | − | 0.0650720i | ||||
\(207\) | −24.6596 | + | 1.26800i | −1.71396 | + | 0.0881322i | ||||
\(208\) | 14.2673 | − | 13.2878i | 0.989256 | − | 0.921346i | ||||
\(209\) | 3.23559 | − | 5.60420i | 0.223810 | − | 0.387651i | ||||
\(210\) | 0.745872 | − | 4.10952i | 0.0514701 | − | 0.283584i | ||||
\(211\) | −13.0199 | + | 7.51704i | −0.896327 | + | 0.517495i | −0.876007 | − | 0.482299i | \(-0.839802\pi\) |
−0.0203202 | + | 0.999794i | \(0.506469\pi\) | |||||||
\(212\) | −6.63810 | + | 0.754226i | −0.455907 | + | 0.0518004i | ||||
\(213\) | 14.2661 | + | 23.3059i | 0.977497 | + | 1.59689i | ||||
\(214\) | −13.5390 | − | 12.0878i | −0.925507 | − | 0.826305i | ||||
\(215\) | 3.65612 | 0.249345 | ||||||||
\(216\) | −12.6160 | − | 7.53898i | −0.858411 | − | 0.512963i | ||||
\(217\) | 10.4877 | 0.711950 | ||||||||
\(218\) | −0.624016 | − | 0.557130i | −0.0422637 | − | 0.0377336i | ||||
\(219\) | 7.79861 | + | 12.7402i | 0.526981 | + | 0.860906i | ||||
\(220\) | 0.192249 | + | 1.69203i | 0.0129614 | + | 0.114077i | ||||
\(221\) | −31.3972 | + | 18.1272i | −2.11200 | + | 1.21937i | ||||
\(222\) | −3.36159 | + | 18.5213i | −0.225615 | + | 1.24307i | ||||
\(223\) | −7.24909 | + | 12.5558i | −0.485435 | + | 0.840798i | −0.999860 | − | 0.0167373i | \(-0.994672\pi\) |
0.514425 | + | 0.857535i | \(0.328005\pi\) | |||||||
\(224\) | 4.99746 | + | 8.25001i | 0.333907 | + | 0.551227i | ||||
\(225\) | 1.63144 | + | 2.51762i | 0.108763 | + | 0.167841i | ||||
\(226\) | −6.75432 | − | 1.40600i | −0.449290 | − | 0.0935254i | ||||
\(227\) | 5.72436 | + | 3.30496i | 0.379939 | + | 0.219358i | 0.677792 | − | 0.735254i | \(-0.262937\pi\) |
−0.297853 | + | 0.954612i | \(0.596270\pi\) | |||||||
\(228\) | 16.1922 | + | 20.7594i | 1.07235 | + | 1.37483i | ||||
\(229\) | −11.0770 | + | 6.39532i | −0.731990 | + | 0.422615i | −0.819150 | − | 0.573580i | \(-0.805554\pi\) |
0.0871598 | + | 0.996194i | \(0.472221\pi\) | |||||||
\(230\) | −11.0551 | + | 3.64351i | −0.728949 | + | 0.240246i | ||||
\(231\) | 2.20932 | + | 1.20097i | 0.145363 | + | 0.0790183i | ||||
\(232\) | −5.71718 | − | 12.4167i | −0.375351 | − | 0.815199i | ||||
\(233\) | −7.84523 | −0.513958 | −0.256979 | − | 0.966417i | \(-0.582727\pi\) | ||||
−0.256979 | + | 0.966417i | \(0.582727\pi\) | |||||||
\(234\) | 16.1128 | + | 12.9621i | 1.05332 | + | 0.847358i | ||||
\(235\) | − | 2.42632i | − | 0.158276i | ||||||
\(236\) | −10.3853 | − | 14.0440i | −0.676023 | − | 0.914187i | ||||
\(237\) | 2.56381 | − | 0.0658723i | 0.166537 | − | 0.00427887i | ||||
\(238\) | −5.61428 | − | 17.0347i | −0.363920 | − | 1.10420i | ||||
\(239\) | −4.65667 | − | 8.06559i | −0.301215 | − | 0.521720i | 0.675196 | − | 0.737638i | \(-0.264059\pi\) |
−0.976411 | + | 0.215918i | \(0.930726\pi\) | |||||||
\(240\) | −6.67416 | − | 1.85892i | −0.430815 | − | 0.119993i | ||||
\(241\) | 11.7444 | − | 20.3419i | 0.756524 | − | 1.31034i | −0.188090 | − | 0.982152i | \(-0.560230\pi\) |
0.944613 | − | 0.328185i | \(-0.106437\pi\) | |||||||
\(242\) | 14.2261 | + | 2.96134i | 0.914490 | + | 0.190362i | ||||
\(243\) | 6.00089 | − | 14.3871i | 0.384957 | − | 0.922934i | ||||
\(244\) | 0.0998739 | − | 0.229499i | 0.00639377 | − | 0.0146922i | ||||
\(245\) | 3.54428 | + | 2.04629i | 0.226436 | + | 0.130733i | ||||
\(246\) | 4.03358 | + | 11.2574i | 0.257171 | + | 0.717744i | ||||
\(247\) | −18.5221 | − | 32.0813i | −1.17854 | − | 2.04128i | ||||
\(248\) | 1.59992 | − | 17.3231i | 0.101595 | − | 1.10002i | ||||
\(249\) | 0.0643324 | + | 2.50387i | 0.00407690 | + | 0.158676i | ||||
\(250\) | 1.05494 | + | 0.941863i | 0.0667201 | + | 0.0595686i | ||||
\(251\) | − | 7.22168i | − | 0.455829i | −0.973681 | − | 0.227914i | \(-0.926809\pi\) | ||
0.973681 | − | 0.227914i | \(-0.0731906\pi\) | |||||||
\(252\) | −7.90267 | + | 6.49728i | −0.497822 | + | 0.409290i | ||||
\(253\) | − | 7.00811i | − | 0.440596i | ||||||
\(254\) | 6.50559 | − | 7.28662i | 0.408197 | − | 0.457203i | ||||
\(255\) | 11.3188 | + | 6.15285i | 0.708813 | + | 0.385306i | ||||
\(256\) | 14.3894 | − | 6.99605i | 0.899339 | − | 0.437253i | ||||
\(257\) | −8.29135 | − | 14.3610i | −0.517200 | − | 0.895817i | −0.999800 | − | 0.0199761i | \(-0.993641\pi\) |
0.482600 | − | 0.875841i | \(-0.339692\pi\) | |||||||
\(258\) | −6.83148 | − | 5.79088i | −0.425309 | − | 0.360524i | ||||
\(259\) | 11.3480 | + | 6.55175i | 0.705128 | + | 0.407106i | ||||
\(260\) | 8.93861 | + | 3.88993i | 0.554349 | + | 0.241243i | ||||
\(261\) | 12.1676 | − | 7.88471i | 0.753156 | − | 0.488051i | ||||
\(262\) | −2.47109 | + | 11.8709i | −0.152664 | + | 0.733389i | ||||
\(263\) | −0.915140 | + | 1.58507i | −0.0564299 | + | 0.0977395i | −0.892860 | − | 0.450334i | \(-0.851305\pi\) |
0.836430 | + | 0.548073i | \(0.184638\pi\) | |||||||
\(264\) | 2.32076 | − | 3.46606i | 0.142833 | − | 0.213321i | ||||
\(265\) | −1.67020 | − | 2.89288i | −0.102600 | − | 0.177708i | ||||
\(266\) | 17.4059 | − | 5.73661i | 1.06723 | − | 0.351734i | ||||
\(267\) | −6.20649 | − | 10.1393i | −0.379831 | − | 0.620514i | ||||
\(268\) | 4.25241 | + | 5.75055i | 0.259758 | + | 0.351271i | ||||
\(269\) | − | 16.4171i | − | 1.00097i | −0.865746 | − | 0.500484i | \(-0.833156\pi\) | ||
0.865746 | − | 0.500484i | \(-0.166844\pi\) | |||||||
\(270\) | 0.939271 | − | 7.28819i | 0.0571622 | − | 0.443545i | ||||
\(271\) | −4.76766 | −0.289615 | −0.144807 | − | 0.989460i | \(-0.546256\pi\) | ||||
−0.144807 | + | 0.989460i | \(0.546256\pi\) | |||||||
\(272\) | −28.9938 | + | 6.67475i | −1.75801 | + | 0.404716i | ||||
\(273\) | 12.2776 | − | 7.51538i | 0.743072 | − | 0.454852i | ||||
\(274\) | 2.12624 | + | 6.45140i | 0.128451 | + | 0.389744i | ||||
\(275\) | −0.737384 | + | 0.425729i | −0.0444659 | + | 0.0256724i | ||||
\(276\) | 26.4273 | + | 10.7020i | 1.59074 | + | 0.644187i | ||||
\(277\) | 28.5479 | + | 16.4821i | 1.71528 | + | 0.990316i | 0.927055 | + | 0.374925i | \(0.122331\pi\) |
0.788222 | + | 0.615391i | \(0.211002\pi\) | |||||||
\(278\) | −0.613187 | + | 2.94571i | −0.0367765 | + | 0.176672i | ||||
\(279\) | 18.4278 | − | 0.947563i | 1.10325 | − | 0.0567291i | ||||
\(280\) | −2.78529 | + | 3.93719i | −0.166453 | + | 0.235292i | ||||
\(281\) | −0.0674617 | + | 0.116847i | −0.00402443 | + | 0.00697051i | −0.868031 | − | 0.496511i | \(-0.834614\pi\) |
0.864006 | + | 0.503481i | \(0.167948\pi\) | |||||||
\(282\) | −3.84301 | + | 4.53359i | −0.228848 | + | 0.269971i | ||||
\(283\) | −19.8241 | + | 11.4455i | −1.17842 | + | 0.680362i | −0.955649 | − | 0.294509i | \(-0.904844\pi\) |
−0.222772 | + | 0.974871i | \(0.571511\pi\) | |||||||
\(284\) | −3.56213 | − | 31.3511i | −0.211374 | − | 1.86035i | ||||
\(285\) | −6.28691 | + | 11.5655i | −0.372404 | + | 0.685079i | ||||
\(286\) | −3.90888 | + | 4.37816i | −0.231137 | + | 0.258886i | ||||
\(287\) | 8.32421 | 0.491362 | ||||||||
\(288\) | 9.52638 | + | 14.0445i | 0.561347 | + | 0.827580i | ||||
\(289\) | 38.3245 | 2.25438 | ||||||||
\(290\) | 4.55201 | − | 5.09850i | 0.267303 | − | 0.299394i | ||||
\(291\) | 19.7277 | − | 0.506868i | 1.15646 | − | 0.0297131i | ||||
\(292\) | −1.94725 | − | 17.1382i | −0.113954 | − | 1.00294i | ||||
\(293\) | 10.8358 | − | 6.25605i | 0.633034 | − | 0.365482i | −0.148892 | − | 0.988853i | \(-0.547571\pi\) |
0.781926 | + | 0.623371i | \(0.214237\pi\) | |||||||
\(294\) | −3.38142 | − | 9.43725i | −0.197208 | − | 0.550391i | ||||
\(295\) | 4.36669 | − | 7.56333i | 0.254239 | − | 0.440354i | ||||
\(296\) | 12.5531 | − | 17.7446i | 0.729633 | − | 1.03139i | ||||
\(297\) | 3.99049 | + | 1.91061i | 0.231552 | + | 0.110865i | ||||
\(298\) | −3.00002 | + | 14.4119i | −0.173786 | + | 0.834859i | ||||
\(299\) | −34.7432 | − | 20.0590i | −2.00925 | − | 1.16004i | ||||
\(300\) | −0.479354 | − | 3.43078i | −0.0276755 | − | 0.198076i | ||||
\(301\) | −5.39889 | + | 3.11705i | −0.311187 | + | 0.179664i | ||||
\(302\) | 2.08262 | + | 6.31905i | 0.119841 | + | 0.363621i | ||||
\(303\) | −0.116663 | − | 4.54064i | −0.00670213 | − | 0.260853i | ||||
\(304\) | −6.82019 | − | 29.6255i | −0.391165 | − | 1.69914i | ||||
\(305\) | 0.125145 | 0.00716576 | ||||||||
\(306\) | −11.4039 | − | 29.4244i | −0.651917 | − | 1.68208i | ||||
\(307\) | − | 7.55430i | − | 0.431147i | −0.976488 | − | 0.215573i | \(-0.930838\pi\) | ||
0.976488 | − | 0.215573i | \(-0.0691620\pi\) | |||||||
\(308\) | −1.72644 | − | 2.33467i | −0.0983731 | − | 0.133030i | ||||
\(309\) | −2.68064 | + | 4.93134i | −0.152496 | + | 0.280534i | ||||
\(310\) | 8.26132 | − | 2.72275i | 0.469212 | − | 0.154642i | ||||
\(311\) | 1.49800 | + | 2.59461i | 0.0849437 | + | 0.147127i | 0.905367 | − | 0.424629i | \(-0.139596\pi\) |
−0.820424 | + | 0.571756i | \(0.806262\pi\) | |||||||
\(312\) | −10.5406 | − | 21.4261i | −0.596746 | − | 1.21301i | ||||
\(313\) | −4.79146 | + | 8.29905i | −0.270829 | + | 0.469090i | −0.969074 | − | 0.246769i | \(-0.920631\pi\) |
0.698245 | + | 0.715859i | \(0.253965\pi\) | |||||||
\(314\) | 0.413359 | − | 1.98575i | 0.0233272 | − | 0.112062i | ||||
\(315\) | −4.55551 | − | 2.32680i | −0.256674 | − | 0.131101i | ||||
\(316\) | −2.71542 | − | 1.18170i | −0.152754 | − | 0.0664760i | ||||
\(317\) | 23.8876 | + | 13.7915i | 1.34166 | + | 0.774608i | 0.987051 | − | 0.160406i | \(-0.0512804\pi\) |
0.354610 | + | 0.935014i | \(0.384614\pi\) | |||||||
\(318\) | −1.46120 | + | 8.05077i | −0.0819402 | + | 0.451464i | ||||
\(319\) | 2.05754 | + | 3.56376i | 0.115200 | + | 0.199532i | ||||
\(320\) | 6.07840 | + | 5.20126i | 0.339793 | + | 0.290759i | ||||
\(321\) | −18.9591 | + | 11.6053i | −1.05819 | + | 0.647745i | ||||
\(322\) | 13.2184 | − | 14.8053i | 0.736633 | − | 0.825069i | ||||
\(323\) | 56.5300i | 3.14541i | ||||||||
\(324\) | −13.2987 | + | 12.1303i | −0.738816 | + | 0.673907i | ||||
\(325\) | 4.87418i | 0.270371i | ||||||||
\(326\) | 12.5982 | + | 11.2479i | 0.697752 | + | 0.622962i | ||||
\(327\) | −0.873829 | + | 0.534891i | −0.0483228 | + | 0.0295796i | ||||
\(328\) | 1.26988 | − | 13.7496i | 0.0701173 | − | 0.759195i | ||||
\(329\) | 2.06858 | + | 3.58288i | 0.114044 | + | 0.197530i | ||||
\(330\) | 2.05211 | + | 0.372455i | 0.112965 | + | 0.0205030i | ||||
\(331\) | −27.3736 | − | 15.8042i | −1.50459 | − | 0.868676i | −0.999986 | − | 0.00532511i | \(-0.998305\pi\) |
−0.504605 | − | 0.863351i | \(-0.668362\pi\) | |||||||
\(332\) | 1.15408 | − | 2.65194i | 0.0633382 | − | 0.145544i | ||||
\(333\) | 20.5314 | + | 10.4867i | 1.12511 | + | 0.574669i | ||||
\(334\) | −3.48601 | − | 0.725656i | −0.190746 | − | 0.0397061i | ||||
\(335\) | −1.78801 | + | 3.09693i | −0.0976896 | + | 0.169203i | ||||
\(336\) | 11.4404 | − | 2.94509i | 0.624124 | − | 0.160668i | ||||
\(337\) | 9.75309 | + | 16.8928i | 0.531285 | + | 0.920212i | 0.999333 | + | 0.0365092i | \(0.0116238\pi\) |
−0.468049 | + | 0.883703i | \(0.655043\pi\) | |||||||
\(338\) | 4.76208 | + | 14.4490i | 0.259023 | + | 0.785923i | ||||
\(339\) | −4.03548 | + | 7.42370i | −0.219177 | + | 0.403200i | ||||
\(340\) | −8.84492 | − | 11.9610i | −0.479683 | − | 0.648676i | ||||
\(341\) | 5.23708i | 0.283604i | ||||||||
\(342\) | 30.0655 | − | 11.6524i | 1.62576 | − | 0.630088i | ||||
\(343\) | −18.9141 | −1.02127 | ||||||||
\(344\) | 4.32501 | + | 9.39320i | 0.233189 | + | 0.506447i | ||||
\(345\) | 0.366161 | + | 14.2513i | 0.0197135 | + | 0.767266i | ||||
\(346\) | −7.95435 | + | 2.62158i | −0.427628 | + | 0.140937i | ||||
\(347\) | 9.61891 | − | 5.55348i | 0.516370 | − | 0.298126i | −0.219078 | − | 0.975707i | \(-0.570305\pi\) |
0.735448 | + | 0.677581i | \(0.236972\pi\) | |||||||
\(348\) | −16.5809 | + | 2.31671i | −0.888828 | + | 0.124189i | ||||
\(349\) | 27.6857 | + | 15.9843i | 1.48198 | + | 0.855621i | 0.999791 | − | 0.0204464i | \(-0.00650874\pi\) |
0.482188 | + | 0.876068i | \(0.339842\pi\) | |||||||
\(350\) | −2.36079 | − | 0.491428i | −0.126189 | − | 0.0262679i | ||||
\(351\) | 20.8938 | − | 14.3145i | 1.11523 | − | 0.764051i | ||||
\(352\) | −4.11969 | + | 2.49551i | −0.219580 | + | 0.133011i | ||||
\(353\) | 6.22716 | − | 10.7858i | 0.331438 | − | 0.574068i | −0.651356 | − | 0.758773i | \(-0.725799\pi\) |
0.982794 | + | 0.184704i | \(0.0591328\pi\) | |||||||
\(354\) | −20.1386 | + | 7.21578i | −1.07036 | + | 0.383514i | ||||
\(355\) | 13.6628 | − | 7.88821i | 0.725145 | − | 0.418663i | ||||
\(356\) | 1.54971 | + | 13.6394i | 0.0821347 | + | 0.722885i | ||||
\(357\) | −21.9599 | + | 0.564218i | −1.16224 | + | 0.0298616i | ||||
\(358\) | 15.7510 | + | 14.0627i | 0.832467 | + | 0.743238i | ||||
\(359\) | −15.4617 | −0.816040 | −0.408020 | − | 0.912973i | \(-0.633781\pi\) | ||||
−0.408020 | + | 0.912973i | \(0.633781\pi\) | |||||||
\(360\) | −4.53828 | + | 7.16966i | −0.239188 | + | 0.377874i | ||||
\(361\) | −38.7617 | −2.04009 | ||||||||
\(362\) | 2.69812 | + | 2.40892i | 0.141810 | + | 0.126610i | ||||
\(363\) | 8.49963 | − | 15.6360i | 0.446115 | − | 0.820677i | ||||
\(364\) | −16.5158 | + | 1.87653i | −0.865662 | + | 0.0983571i | ||||
\(365\) | 7.46881 | − | 4.31212i | 0.390935 | − | 0.225707i | ||||
\(366\) | −0.233833 | − | 0.198215i | −0.0122227 | − | 0.0103608i | ||||
\(367\) | −10.1337 | + | 17.5521i | −0.528974 | + | 0.916210i | 0.470455 | + | 0.882424i | \(0.344090\pi\) |
−0.999429 | + | 0.0337857i | \(0.989244\pi\) | |||||||
\(368\) | −22.4384 | − | 24.0922i | −1.16968 | − | 1.25589i | ||||
\(369\) | 14.6264 | − | 0.752093i | 0.761420 | − | 0.0391524i | ||||
\(370\) | 10.6399 | + | 2.21483i | 0.553142 | + | 0.115143i | ||||
\(371\) | 4.93269 | + | 2.84789i | 0.256092 | + | 0.147855i | ||||
\(372\) | −19.7488 | − | 7.99751i | −1.02393 | − | 0.414652i | ||||
\(373\) | −16.4864 | + | 9.51843i | −0.853634 | + | 0.492846i | −0.861875 | − | 0.507120i | \(-0.830710\pi\) |
0.00824132 | + | 0.999966i | \(0.497377\pi\) | |||||||
\(374\) | 8.50639 | − | 2.80352i | 0.439855 | − | 0.144967i | ||||
\(375\) | 1.47726 | − | 0.904267i | 0.0762855 | − | 0.0466961i | ||||
\(376\) | 6.23362 | − | 2.87021i | 0.321475 | − | 0.148020i | ||||
\(377\) | 23.5568 | 1.21324 | ||||||||
\(378\) | 4.82661 | + | 11.5631i | 0.248254 | + | 0.594739i | ||||
\(379\) | − | 0.186471i | − | 0.00957838i | −0.999989 | − | 0.00478919i | \(-0.998476\pi\) | ||
0.999989 | − | 0.00478919i | \(-0.00152445\pi\) | |||||||
\(380\) | 12.2216 | − | 9.03764i | 0.626956 | − | 0.463621i | ||||
\(381\) | −6.24591 | − | 10.2037i | −0.319988 | − | 0.522750i | ||||
\(382\) | −6.67476 | − | 20.2524i | −0.341511 | − | 1.03620i | ||||
\(383\) | 7.42237 | + | 12.8559i | 0.379265 | + | 0.656907i | 0.990956 | − | 0.134191i | \(-0.0428435\pi\) |
−0.611690 | + | 0.791097i | \(0.709510\pi\) | |||||||
\(384\) | −3.11932 | − | 19.3461i | −0.159182 | − | 0.987249i | ||||
\(385\) | 0.725916 | − | 1.25732i | 0.0369961 | − | 0.0640792i | ||||
\(386\) | −24.6459 | − | 5.13036i | −1.25444 | − | 0.261128i | ||||
\(387\) | −9.20473 | + | 5.96474i | −0.467903 | + | 0.303205i | ||||
\(388\) | −20.8944 | − | 9.09285i | −1.06075 | − | 0.461620i | ||||
\(389\) | −5.58170 | − | 3.22259i | −0.283003 | − | 0.163392i | 0.351779 | − | 0.936083i | \(-0.385577\pi\) |
−0.634782 | + | 0.772691i | \(0.718910\pi\) | |||||||
\(390\) | 7.72013 | − | 9.10742i | 0.390924 | − | 0.461172i | ||||
\(391\) | 30.6102 | + | 53.0185i | 1.54803 | + | 2.68126i | ||||
\(392\) | −1.06456 | + | 11.5265i | −0.0537685 | + | 0.582177i | ||||
\(393\) | 13.0474 | + | 7.09249i | 0.658155 | + | 0.357769i | ||||
\(394\) | −9.18994 | − | 8.20490i | −0.462983 | − | 0.413357i | ||||
\(395\) | − | 1.48070i | − | 0.0745023i | ||||||
\(396\) | −3.24445 | − | 3.94624i | −0.163040 | − | 0.198306i | ||||
\(397\) | − | 24.0087i | − | 1.20496i | −0.798132 | − | 0.602482i | \(-0.794178\pi\) | ||
0.798132 | − | 0.602482i | \(-0.205822\pi\) | |||||||
\(398\) | 11.7757 | − | 13.1894i | 0.590263 | − | 0.661127i | ||||
\(399\) | −0.576512 | − | 22.4383i | −0.0288617 | − | 1.12332i | ||||
\(400\) | −1.17187 | + | 3.82449i | −0.0585933 | + | 0.191225i | ||||
\(401\) | −15.4070 | − | 26.6858i | −0.769391 | − | 1.33262i | −0.937894 | − | 0.346923i | \(-0.887227\pi\) |
0.168503 | − | 0.985701i | \(-0.446107\pi\) | |||||||
\(402\) | 8.24609 | − | 2.95462i | 0.411278 | − | 0.147363i | ||||
\(403\) | 25.9632 | + | 14.9899i | 1.29332 | + | 0.746698i | ||||
\(404\) | −2.09286 | + | 4.80915i | −0.104124 | + | 0.239264i | ||||
\(405\) | −8.21468 | − | 3.67682i | −0.408191 | − | 0.182703i | ||||
\(406\) | −2.37506 | + | 11.4097i | −0.117872 | + | 0.566251i | ||||
\(407\) | −3.27165 | + | 5.66666i | −0.162170 | + | 0.280886i | ||||
\(408\) | −2.41808 | + | 36.3585i | −0.119713 | + | 1.80001i | ||||
\(409\) | −6.58674 | − | 11.4086i | −0.325694 | − | 0.564118i | 0.655959 | − | 0.754797i | \(-0.272264\pi\) |
−0.981652 | + | 0.190679i | \(0.938931\pi\) | |||||||
\(410\) | 6.55711 | − | 2.16108i | 0.323833 | − | 0.106728i | ||||
\(411\) | 8.31665 | − | 0.213681i | 0.410230 | − | 0.0105401i | ||||
\(412\) | 5.21111 | − | 3.85351i | 0.256733 | − | 0.189849i | ||||
\(413\) | 14.8914i | 0.732758i | ||||||||
\(414\) | 21.8883 | − | 27.2086i | 1.07575 | − | 1.33723i | ||||
\(415\) | 1.44609 | 0.0709857 | ||||||||
\(416\) | 0.580060 | + | 27.5664i | 0.0284398 | + | 1.35155i | ||||
\(417\) | 3.23765 | + | 1.75996i | 0.158548 | + | 0.0861859i | ||||
\(418\) | 2.86461 | + | 8.69174i | 0.140112 | + | 0.425127i | ||||
\(419\) | 6.56592 | − | 3.79084i | 0.320766 | − | 0.185194i | −0.330968 | − | 0.943642i | \(-0.607375\pi\) |
0.651734 | + | 0.758448i | \(0.274042\pi\) | |||||||
\(420\) | 3.63278 | + | 4.65745i | 0.177261 | + | 0.227260i | ||||
\(421\) | 20.0571 | + | 11.5800i | 0.977525 | + | 0.564374i | 0.901522 | − | 0.432733i | \(-0.142451\pi\) |
0.0760028 | + | 0.997108i | \(0.475784\pi\) | |||||||
\(422\) | 4.33295 | − | 20.8152i | 0.210925 | − | 1.01327i | ||||
\(423\) | 3.95839 | + | 6.10855i | 0.192464 | + | 0.297008i | ||||
\(424\) | 5.45652 | − | 7.71317i | 0.264992 | − | 0.374584i | ||||
\(425\) | 3.71902 | − | 6.44154i | 0.180399 | − | 0.312460i | ||||
\(426\) | −38.0230 | − | 6.90112i | −1.84222 | − | 0.334360i | ||||
\(427\) | −0.184798 | + | 0.106693i | −0.00894298 | + | 0.00516323i | ||||
\(428\) | 25.5038 | − | 2.89775i | 1.23277 | − | 0.140068i | ||||
\(429\) | 3.75285 | + | 6.13086i | 0.181189 | + | 0.296001i | ||||
\(430\) | −3.44357 | + | 3.85698i | −0.166064 | + | 0.186000i | ||||
\(431\) | 5.19804 | 0.250381 | 0.125190 | − | 0.992133i | \(-0.460046\pi\) | ||||
0.125190 | + | 0.992133i | \(0.460046\pi\) | |||||||
\(432\) | 19.8357 | − | 6.20843i | 0.954346 | − | 0.298703i | ||||
\(433\) | −23.3246 | −1.12091 | −0.560454 | − | 0.828185i | \(-0.689373\pi\) | ||||
−0.560454 | + | 0.828185i | \(0.689373\pi\) | |||||||
\(434\) | −9.87796 | + | 11.0639i | −0.474157 | + | 0.531082i | ||||
\(435\) | −4.37030 | − | 7.13958i | −0.209540 | − | 0.342317i | ||||
\(436\) | 1.17548 | − | 0.133558i | 0.0562951 | − | 0.00639628i | ||||
\(437\) | −54.1737 | + | 31.2772i | −2.59148 | + | 1.49619i | ||||
\(438\) | −20.7854 | − | 3.77252i | −0.993165 | − | 0.180258i | ||||
\(439\) | 11.3432 | − | 19.6471i | 0.541384 | − | 0.937704i | −0.457441 | − | 0.889240i | \(-0.651234\pi\) |
0.998825 | − | 0.0484641i | \(-0.0154326\pi\) | |||||||
\(440\) | −1.96606 | − | 1.39085i | −0.0937281 | − | 0.0663061i | ||||
\(441\) | −12.2616 | + | 0.630492i | −0.583884 | + | 0.0300234i | ||||
\(442\) | 10.4488 | − | 50.1954i | 0.496999 | − | 2.38755i | ||||
\(443\) | −34.5298 | − | 19.9358i | −1.64056 | − | 0.947179i | −0.980634 | − | 0.195851i | \(-0.937253\pi\) |
−0.659929 | − | 0.751328i | \(-0.729414\pi\) | |||||||
\(444\) | −16.3727 | − | 20.9908i | −0.777012 | − | 0.996179i | ||||
\(445\) | −5.94402 | + | 3.43178i | −0.281774 | + | 0.162682i | ||||
\(446\) | −6.41793 | − | 19.4732i | −0.303898 | − | 0.922082i | ||||
\(447\) | 15.8402 | + | 8.61063i | 0.749216 | + | 0.407269i | ||||
\(448\) | −13.4102 | − | 2.49837i | −0.633571 | − | 0.118037i | ||||
\(449\) | −35.4883 | −1.67480 | −0.837399 | − | 0.546593i | \(-0.815925\pi\) | ||||
−0.837399 | + | 0.546593i | \(0.815925\pi\) | |||||||
\(450\) | −4.19252 | − | 0.650186i | −0.197637 | − | 0.0306501i | ||||
\(451\) | 4.15674i | 0.195733i | ||||||||
\(452\) | 7.84488 | − | 5.80113i | 0.368992 | − | 0.272862i | ||||
\(453\) | 8.14603 | − | 0.209297i | 0.382734 | − | 0.00983363i | ||||
\(454\) | −8.87808 | + | 2.92602i | −0.416669 | + | 0.137325i | ||||
\(455\) | −4.15551 | − | 7.19756i | −0.194813 | − | 0.337427i | ||||
\(456\) | −37.1507 | − | 2.47077i | −1.73974 | − | 0.115704i | ||||
\(457\) | −2.91052 | + | 5.04116i | −0.136148 | + | 0.235816i | −0.926035 | − | 0.377436i | \(-0.876806\pi\) |
0.789887 | + | 0.613252i | \(0.210139\pi\) | |||||||
\(458\) | 3.68637 | − | 17.7091i | 0.172253 | − | 0.827491i | ||||
\(459\) | −38.5345 | + | 2.97546i | −1.79864 | + | 0.138882i | ||||
\(460\) | 6.56868 | − | 15.0941i | 0.306266 | − | 0.703766i | ||||
\(461\) | 26.8065 | + | 15.4768i | 1.24850 | + | 0.720824i | 0.970811 | − | 0.239845i | \(-0.0770967\pi\) |
0.277693 | + | 0.960670i | \(0.410430\pi\) | |||||||
\(462\) | −3.34783 | + | 1.19955i | −0.155755 | + | 0.0558080i | ||||
\(463\) | −0.117990 | − | 0.204365i | −0.00548346 | − | 0.00949764i | 0.863271 | − | 0.504741i | \(-0.168412\pi\) |
−0.868754 | + | 0.495244i | \(0.835079\pi\) | |||||||
\(464\) | 18.4837 | + | 5.66360i | 0.858084 | + | 0.262926i | ||||
\(465\) | −0.273628 | − | 10.6499i | −0.0126892 | − | 0.493875i | ||||
\(466\) | 7.38913 | − | 8.27623i | 0.342295 | − | 0.383389i | ||||
\(467\) | − | 12.6694i | − | 0.586271i | −0.956071 | − | 0.293135i | \(-0.905301\pi\) | ||
0.956071 | − | 0.293135i | \(-0.0946986\pi\) | |||||||
\(468\) | −28.8502 | + | 4.78944i | −1.33360 | + | 0.221392i | ||||
\(469\) | − | 6.09753i | − | 0.281558i | ||||||
\(470\) | 2.55962 | + | 2.28526i | 0.118066 | + | 0.105411i | ||||
\(471\) | −2.18255 | − | 1.18642i | −0.100566 | − | 0.0546673i | ||||
\(472\) | 24.5971 | + | 2.27172i | 1.13217 | + | 0.104564i | ||||
\(473\) | −1.55652 | − | 2.69597i | −0.0715687 | − | 0.123961i | ||||
\(474\) | −2.34527 | + | 2.76670i | −0.107722 | + | 0.127079i | ||||
\(475\) | 6.58189 | + | 3.80006i | 0.301998 | + | 0.174359i | ||||
\(476\) | 23.2585 | + | 10.1217i | 1.06605 | + | 0.463926i | ||||
\(477\) | 8.92449 | + | 4.55833i | 0.408624 | + | 0.208712i | ||||
\(478\) | 12.8946 | + | 2.68418i | 0.589787 | + | 0.122772i | ||||
\(479\) | 9.15783 | − | 15.8618i | 0.418432 | − | 0.724745i | −0.577350 | − | 0.816497i | \(-0.695913\pi\) |
0.995782 | + | 0.0917515i | \(0.0292465\pi\) | |||||||
\(480\) | 8.24719 | − | 5.28998i | 0.376431 | − | 0.241453i | ||||
\(481\) | 18.7286 | + | 32.4389i | 0.853950 | + | 1.47908i | ||||
\(482\) | 10.3978 | + | 31.5489i | 0.473608 | + | 1.43701i | ||||
\(483\) | −12.6908 | − | 20.7324i | −0.577450 | − | 0.943355i | ||||
\(484\) | −16.5231 | + | 12.2185i | −0.751050 | + | 0.555386i | ||||
\(485\) | − | 11.3936i | − | 0.517356i | ||||||
\(486\) | 9.52551 | + | 19.8813i | 0.432086 | + | 0.901832i | ||||
\(487\) | −3.87542 | −0.175612 | −0.0878060 | − | 0.996138i | \(-0.527986\pi\) | ||||
−0.0878060 | + | 0.996138i | \(0.527986\pi\) | |||||||
\(488\) | 0.148040 | + | 0.321518i | 0.00670145 | + | 0.0145544i | ||||
\(489\) | 17.6417 | − | 10.7989i | 0.797785 | − | 0.488343i | ||||
\(490\) | −5.49694 | + | 1.81167i | −0.248327 | + | 0.0818430i | ||||
\(491\) | 11.6601 | − | 6.73195i | 0.526212 | − | 0.303809i | −0.213261 | − | 0.976995i | \(-0.568408\pi\) |
0.739472 | + | 0.673187i | \(0.235075\pi\) | |||||||
\(492\) | −15.6749 | − | 6.34772i | −0.706679 | − | 0.286178i | ||||
\(493\) | −31.1318 | − | 17.9740i | −1.40211 | − | 0.809507i | ||||
\(494\) | 51.2891 | + | 10.6765i | 2.30761 | + | 0.480357i | ||||
\(495\) | 1.16190 | − | 2.27482i | 0.0522236 | − | 0.102246i | ||||
\(496\) | 16.7679 | + | 18.0039i | 0.752903 | + | 0.808397i | ||||
\(497\) | −13.4503 | + | 23.2966i | −0.603328 | + | 1.04500i | ||||
\(498\) | −2.70202 | − | 2.29044i | −0.121081 | − | 0.102637i | ||||
\(499\) | −12.3219 | + | 7.11404i | −0.551603 | + | 0.318468i | −0.749768 | − | 0.661700i | \(-0.769835\pi\) |
0.198165 | + | 0.980169i | \(0.436502\pi\) | |||||||
\(500\) | −1.98721 | + | 0.225788i | −0.0888709 | + | 0.0100976i | ||||
\(501\) | −2.08277 | + | 3.83149i | −0.0930514 | + | 0.171178i | ||||
\(502\) | 7.61843 | + | 6.80184i | 0.340027 | + | 0.303581i | ||||
\(503\) | −11.3559 | −0.506335 | −0.253168 | − | 0.967422i | \(-0.581472\pi\) | ||||
−0.253168 | + | 0.967422i | \(0.581472\pi\) | |||||||
\(504\) | 0.589008 | − | 14.4564i | 0.0262365 | − | 0.643938i | ||||
\(505\) | −2.62240 | −0.116695 | ||||||||
\(506\) | 7.39312 | + | 6.60068i | 0.328664 | + | 0.293436i | ||||
\(507\) | 18.6265 | − | 0.478574i | 0.827234 | − | 0.0212542i | ||||
\(508\) | 1.55956 | + | 13.7260i | 0.0691941 | + | 0.608992i | ||||
\(509\) | −19.4319 | + | 11.2190i | −0.861305 | + | 0.497275i | −0.864449 | − | 0.502720i | \(-0.832333\pi\) |
0.00314382 | + | 0.999995i | \(0.498999\pi\) | |||||||
\(510\) | −17.1517 | + | 6.14553i | −0.759488 | + | 0.272129i | ||||
\(511\) | −7.35265 | + | 12.7352i | −0.325262 | + | 0.563371i | ||||
\(512\) | −6.17247 | + | 21.7693i | −0.272787 | + | 0.962074i | ||||
\(513\) | −3.04029 | − | 39.3741i | −0.134232 | − | 1.73841i | ||||
\(514\) | 22.9593 | + | 4.77927i | 1.01269 | + | 0.210804i | ||||
\(515\) | 2.80642 | + | 1.62029i | 0.123666 | + | 0.0713983i | ||||
\(516\) | 12.5433 | − | 1.75258i | 0.552190 | − | 0.0771528i | ||||
\(517\) | −1.78913 | + | 1.03295i | −0.0786858 | + | 0.0454293i | ||||
\(518\) | −17.5999 | + | 5.80055i | −0.773296 | + | 0.254861i | ||||
\(519\) | 0.263461 | + | 10.2541i | 0.0115646 | + | 0.450106i | ||||
\(520\) | −12.5226 | + | 5.76591i | −0.549151 | + | 0.252852i | ||||
\(521\) | 23.6699 | 1.03700 | 0.518500 | − | 0.855078i | \(-0.326491\pi\) | ||||
0.518500 | + | 0.855078i | \(0.326491\pi\) | |||||||
\(522\) | −3.14234 | + | 20.2624i | −0.137536 | + | 0.886861i | ||||
\(523\) | 3.29240i | 0.143967i | 0.997406 | + | 0.0719834i | \(0.0229328\pi\) | ||||
−0.997406 | + | 0.0719834i | \(0.977067\pi\) | |||||||
\(524\) | −10.1957 | − | 13.7876i | −0.445401 | − | 0.602316i | ||||
\(525\) | −1.41049 | + | 2.59476i | −0.0615589 | + | 0.113244i | ||||
\(526\) | −0.810213 | − | 2.45833i | −0.0353270 | − | 0.107188i | ||||
\(527\) | −22.8747 | − | 39.6201i | −0.996437 | − | 1.72588i | ||||
\(528\) | 1.47064 | + | 5.71282i | 0.0640016 | + | 0.248618i | ||||
\(529\) | −22.3724 | + | 38.7501i | −0.972712 | + | 1.68479i | ||||
\(530\) | 4.62491 | + | 0.962733i | 0.200893 | + | 0.0418184i | ||||
\(531\) | 1.34544 | + | 26.1656i | 0.0583871 | + | 1.13549i | ||||
\(532\) | −10.3422 | + | 23.7653i | −0.448392 | + | 1.03035i | ||||
\(533\) | 20.6073 | + | 11.8976i | 0.892602 | + | 0.515344i | ||||
\(534\) | 16.5420 | + | 3.00235i | 0.715841 | + | 0.129924i | ||||
\(535\) | 6.41697 | + | 11.1145i | 0.277430 | + | 0.480522i | ||||
\(536\) | −10.0717 | − | 0.930194i | −0.435030 | − | 0.0401782i | ||||
\(537\) | 22.0566 | − | 13.5014i | 0.951814 | − | 0.582628i | ||||
\(538\) | 17.3190 | + | 15.4626i | 0.746675 | + | 0.666642i | ||||
\(539\) | − | 3.48466i | − | 0.150095i | ||||||
\(540\) | 6.80393 | + | 7.85535i | 0.292794 | + | 0.338041i | ||||
\(541\) | 30.0651i | 1.29260i | 0.763084 | + | 0.646300i | \(0.223684\pi\) | ||||
−0.763084 | + | 0.646300i | \(0.776316\pi\) | |||||||
\(542\) | 4.49048 | − | 5.02959i | 0.192883 | − | 0.216039i | ||||
\(543\) | 3.77826 | − | 2.31276i | 0.162140 | − | 0.0992500i | ||||
\(544\) | 20.2667 | − | 36.8734i | 0.868929 | − | 1.58093i | ||||
\(545\) | 0.295760 | + | 0.512271i | 0.0126690 | + | 0.0219433i | ||||
\(546\) | −3.63551 | + | 20.0305i | −0.155586 | + | 0.857227i | ||||
\(547\) | 29.8575 | + | 17.2382i | 1.27661 | + | 0.737053i | 0.976224 | − | 0.216764i | \(-0.0695501\pi\) |
0.300389 | + | 0.953817i | \(0.402883\pi\) | |||||||
\(548\) | −8.80846 | − | 3.83328i | −0.376279 | − | 0.163750i | ||||
\(549\) | −0.315066 | + | 0.204166i | −0.0134467 | + | 0.00871358i | ||||
\(550\) | 0.245397 | − | 1.17887i | 0.0104638 | − | 0.0502673i | ||||
\(551\) | 18.3656 | − | 31.8102i | 0.782401 | − | 1.35516i | ||||
\(552\) | −36.1809 | + | 17.7993i | −1.53996 | + | 0.757590i | ||||
\(553\) | 1.26239 | + | 2.18652i | 0.0536821 | + | 0.0929801i | ||||
\(554\) | −44.2758 | + | 14.5924i | −1.88110 | + | 0.619970i | ||||
\(555\) | 6.35698 | − | 11.6944i | 0.269839 | − | 0.496398i | ||||
\(556\) | −2.53001 | − | 3.42133i | −0.107296 | − | 0.145097i | ||||
\(557\) | − | 34.8058i | − | 1.47477i | −0.675474 | − | 0.737384i | \(-0.736061\pi\) | ||
0.675474 | − | 0.737384i | \(-0.263939\pi\) | |||||||
\(558\) | −16.3569 | + | 20.3327i | −0.692441 | + | 0.860751i | ||||
\(559\) | −17.8206 | −0.753730 | ||||||||
\(560\) | −1.53014 | − | 6.64660i | −0.0646600 | − | 0.280870i | ||||
\(561\) | −0.281745 | − | 10.9658i | −0.0118953 | − | 0.462975i | ||||
\(562\) | −0.0597267 | − | 0.181222i | −0.00251942 | − | 0.00764438i | ||||
\(563\) | −25.3180 | + | 14.6174i | −1.06703 | + | 0.616048i | −0.927368 | − | 0.374151i | \(-0.877934\pi\) |
−0.139659 | + | 0.990200i | \(0.544601\pi\) | |||||||
\(564\) | −1.16306 | − | 8.32416i | −0.0489739 | − | 0.350510i | ||||
\(565\) | 4.22482 | + | 2.43920i | 0.177740 | + | 0.102618i | ||||
\(566\) | 6.59735 | − | 31.6933i | 0.277307 | − | 1.33217i | ||||
\(567\) | 15.2651 | − | 1.57403i | 0.641073 | − | 0.0661031i | ||||
\(568\) | 36.4285 | + | 25.7706i | 1.52851 | + | 1.08131i | ||||
\(569\) | 5.77344 | − | 9.99988i | 0.242035 | − | 0.419217i | −0.719259 | − | 0.694742i | \(-0.755518\pi\) |
0.961294 | + | 0.275525i | \(0.0888518\pi\) | |||||||
\(570\) | −6.27944 | − | 17.5254i | −0.263017 | − | 0.734058i | ||||
\(571\) | 13.9535 | − | 8.05606i | 0.583936 | − | 0.337136i | −0.178760 | − | 0.983893i | \(-0.557209\pi\) |
0.762696 | + | 0.646757i | \(0.223875\pi\) | |||||||
\(572\) | −0.937057 | − | 8.24725i | −0.0391803 | − | 0.344835i | ||||
\(573\) | −26.1079 | + | 0.670793i | −1.09067 | + | 0.0280228i | ||||
\(574\) | −7.84026 | + | 8.78152i | −0.327246 | + | 0.366534i | ||||
\(575\) | 8.23072 | 0.343245 | ||||||||
\(576\) | −23.7886 | − | 3.17826i | −0.991193 | − | 0.132427i | ||||
\(577\) | 7.28857 | 0.303427 | 0.151714 | − | 0.988424i | \(-0.451521\pi\) | ||||
0.151714 | + | 0.988424i | \(0.451521\pi\) | |||||||
\(578\) | −36.0965 | + | 40.4300i | −1.50141 | + | 1.68167i | ||||
\(579\) | −14.7251 | + | 27.0884i | −0.611954 | + | 1.12576i | ||||
\(580\) | 1.09123 | + | 9.60417i | 0.0453109 | + | 0.398791i | ||||
\(581\) | −2.13540 | + | 1.23287i | −0.0885913 | + | 0.0511482i | ||||
\(582\) | −18.0461 | + | 21.2889i | −0.748036 | + | 0.882455i | ||||
\(583\) | −1.42211 | + | 2.46316i | −0.0588977 | + | 0.102014i | ||||
\(584\) | 19.9138 | + | 14.0876i | 0.824038 | + | 0.582949i | ||||
\(585\) | −7.95192 | − | 12.2713i | −0.328771 | − | 0.507357i | ||||
\(586\) | −3.60609 | + | 17.3234i | −0.148966 | + | 0.715624i | ||||
\(587\) | −4.72567 | − | 2.72837i | −0.195049 | − | 0.112612i | 0.399295 | − | 0.916823i | \(-0.369255\pi\) |
−0.594344 | + | 0.804211i | \(0.702588\pi\) | |||||||
\(588\) | 13.1405 | + | 5.32141i | 0.541907 | + | 0.219451i | ||||
\(589\) | 40.4834 | − | 23.3731i | 1.66809 | − | 0.963072i | ||||
\(590\) | 3.86602 | + | 11.7302i | 0.159162 | + | 0.482925i | ||||
\(591\) | −12.8690 | + | 7.87739i | −0.529358 | + | 0.324033i | ||||
\(592\) | 6.89620 | + | 29.9557i | 0.283432 | + | 1.23117i | ||||
\(593\) | −21.6707 | −0.889911 | −0.444955 | − | 0.895553i | \(-0.646780\pi\) | ||||
−0.444955 | + | 0.895553i | \(0.646780\pi\) | |||||||
\(594\) | −5.77407 | + | 2.41019i | −0.236913 | + | 0.0988913i | ||||
\(595\) | 12.6827i | 0.519941i | ||||||||
\(596\) | −12.3781 | − | 16.7389i | −0.507025 | − | 0.685651i | ||||
\(597\) | −11.3057 | − | 18.4696i | −0.462710 | − | 0.755909i | ||||
\(598\) | 53.8843 | − | 17.7591i | 2.20349 | − | 0.726223i | ||||
\(599\) | 11.4567 | + | 19.8436i | 0.468108 | + | 0.810787i | 0.999336 | − | 0.0364421i | \(-0.0116024\pi\) |
−0.531228 | + | 0.847229i | \(0.678269\pi\) | |||||||
\(600\) | 4.07074 | + | 2.72563i | 0.166187 | + | 0.111273i | ||||
\(601\) | −6.14355 | + | 10.6409i | −0.250601 | + | 0.434053i | −0.963691 | − | 0.267019i | \(-0.913961\pi\) |
0.713091 | + | 0.701072i | \(0.247295\pi\) | |||||||
\(602\) | 1.79672 | − | 8.63134i | 0.0732289 | − | 0.351787i | ||||
\(603\) | −0.550912 | − | 10.7139i | −0.0224349 | − | 0.436305i | ||||
\(604\) | −8.62775 | − | 3.75464i | −0.351058 | − | 0.152774i | ||||
\(605\) | −8.89843 | − | 5.13751i | −0.361773 | − | 0.208869i | ||||
\(606\) | 4.89997 | + | 4.15358i | 0.199048 | + | 0.168728i | ||||
\(607\) | 6.19408 | + | 10.7285i | 0.251410 | + | 0.435455i | 0.963914 | − | 0.266213i | \(-0.0857724\pi\) |
−0.712504 | + | 0.701668i | \(0.752439\pi\) | |||||||
\(608\) | 37.6768 | + | 20.7083i | 1.52800 | + | 0.839833i | ||||
\(609\) | 12.5404 | + | 6.81688i | 0.508163 | + | 0.276234i | ||||
\(610\) | −0.117869 | + | 0.132020i | −0.00477238 | + | 0.00534532i | ||||
\(611\) | 11.8263i | 0.478441i | ||||||||
\(612\) | 41.7818 | + | 15.6833i | 1.68893 | + | 0.633960i | ||||
\(613\) | − | 27.3489i | − | 1.10461i | −0.833641 | − | 0.552307i | \(-0.813748\pi\) | ||
0.833641 | − | 0.552307i | \(-0.186252\pi\) | |||||||
\(614\) | 7.96932 | + | 7.11512i | 0.321616 | + | 0.287143i | ||||
\(615\) | −0.217182 | − | 8.45292i | −0.00875763 | − | 0.340855i | ||||
\(616\) | 4.08900 | + | 0.377650i | 0.164751 | + | 0.0152159i | ||||
\(617\) | 20.9931 | + | 36.3612i | 0.845152 | + | 1.46385i | 0.885489 | + | 0.464660i | \(0.153824\pi\) |
−0.0403370 | + | 0.999186i | \(0.512843\pi\) | |||||||
\(618\) | −2.67746 | − | 7.47255i | −0.107703 | − | 0.300590i | ||||
\(619\) | 12.6202 | + | 7.28628i | 0.507249 | + | 0.292860i | 0.731702 | − | 0.681625i | \(-0.238726\pi\) |
−0.224453 | + | 0.974485i | \(0.572060\pi\) | |||||||
\(620\) | −4.90870 | + | 11.2796i | −0.197138 | + | 0.453001i | ||||
\(621\) | −24.1720 | − | 35.2820i | −0.969989 | − | 1.41582i | ||||
\(622\) | −4.14806 | − | 0.863471i | −0.166322 | − | 0.0346220i | ||||
\(623\) | 5.85158 | − | 10.1352i | 0.234439 | − | 0.406060i | ||||
\(624\) | 32.5310 | + | 9.06071i | 1.30228 | + | 0.362718i | ||||
\(625\) | −0.500000 | − | 0.866025i | −0.0200000 | − | 0.0346410i | ||||
\(626\) | −4.24209 | − | 12.8713i | −0.169548 | − | 0.514439i | ||||
\(627\) | 11.2047 | − | 0.287884i | 0.447473 | − | 0.0114970i | ||||
\(628\) | 1.70552 | + | 2.30637i | 0.0680575 | + | 0.0920342i | ||||
\(629\) | − | 57.1600i | − | 2.27912i | ||||||
\(630\) | 6.74530 | − | 2.61425i | 0.268739 | − | 0.104154i | ||||
\(631\) | 4.09355 | 0.162962 | 0.0814809 | − | 0.996675i | \(-0.474035\pi\) | ||||
0.0814809 | + | 0.996675i | \(0.474035\pi\) | |||||||
\(632\) | 3.80418 | − | 1.75160i | 0.151322 | − | 0.0696749i | ||||
\(633\) | −22.8781 | − | 12.4364i | −0.909323 | − | 0.494302i | ||||
\(634\) | −37.0480 | + | 12.2102i | −1.47136 | + | 0.484930i | ||||
\(635\) | −5.98177 | + | 3.45358i | −0.237379 | + | 0.137051i | ||||
\(636\) | −7.11681 | − | 9.12420i | −0.282200 | − | 0.361798i | ||||
\(637\) | −17.2755 | − | 9.97399i | −0.684479 | − | 0.395184i | ||||
\(638\) | −5.69747 | − | 1.18600i | −0.225565 | − | 0.0469542i | ||||
\(639\) | −21.5286 | + | 42.1495i | −0.851657 | + | 1.66741i | ||||
\(640\) | −11.2120 | + | 1.51346i | −0.443194 | + | 0.0598248i | ||||
\(641\) | −1.86602 | + | 3.23204i | −0.0737034 | + | 0.127658i | −0.900522 | − | 0.434811i | \(-0.856815\pi\) |
0.826818 | + | 0.562469i | \(0.190148\pi\) | |||||||
\(642\) | 5.61398 | − | 30.9313i | 0.221566 | − | 1.22076i | ||||
\(643\) | 15.5519 | − | 8.97887i | 0.613305 | − | 0.354092i | −0.160953 | − | 0.986962i | \(-0.551457\pi\) |
0.774258 | + | 0.632870i | \(0.218123\pi\) | |||||||
\(644\) | 3.16879 | + | 27.8892i | 0.124868 | + | 1.09899i | ||||
\(645\) | 3.30611 | + | 5.40105i | 0.130178 | + | 0.212666i | ||||
\(646\) | −59.6356 | − | 53.2435i | −2.34633 | − | 2.09484i | ||||
\(647\) | −3.42368 | −0.134599 | −0.0672993 | − | 0.997733i | \(-0.521438\pi\) | ||||
−0.0672993 | + | 0.997733i | \(0.521438\pi\) | |||||||
\(648\) | −0.271194 | − | 25.4544i | −0.0106535 | − | 0.999943i | ||||
\(649\) | −7.43611 | −0.291893 | ||||||||
\(650\) | −5.14195 | − | 4.59081i | −0.201684 | − | 0.180066i | ||||
\(651\) | 9.48366 | + | 15.4931i | 0.371694 | + | 0.607221i | ||||
\(652\) | −23.7316 | + | 2.69640i | −0.929402 | + | 0.105599i | ||||
\(653\) | 30.9789 | − | 17.8857i | 1.21230 | − | 0.699922i | 0.249040 | − | 0.968493i | \(-0.419885\pi\) |
0.963260 | + | 0.268572i | \(0.0865516\pi\) | |||||||
\(654\) | 0.258750 | − | 1.42563i | 0.0101179 | − | 0.0557465i | ||||
\(655\) | 4.28698 | − | 7.42527i | 0.167506 | − | 0.290129i | ||||
\(656\) | 13.3089 | + | 14.2899i | 0.519626 | + | 0.557926i | ||||
\(657\) | −11.7687 | + | 23.0412i | −0.459139 | + | 0.898922i | ||||
\(658\) | −5.72803 | − | 1.19236i | −0.223302 | − | 0.0464831i | ||||
\(659\) | 21.3841 | + | 12.3461i | 0.833007 | + | 0.480937i | 0.854881 | − | 0.518824i | \(-0.173630\pi\) |
−0.0218742 | + | 0.999761i | \(0.506963\pi\) | |||||||
\(660\) | −2.32572 | + | 1.81405i | −0.0905287 | + | 0.0706117i | ||||
\(661\) | 24.7481 | − | 14.2883i | 0.962590 | − | 0.555752i | 0.0656207 | − | 0.997845i | \(-0.479097\pi\) |
0.896969 | + | 0.442093i | \(0.145764\pi\) | |||||||
\(662\) | 42.4546 | − | 13.9921i | 1.65005 | − | 0.543819i | ||||
\(663\) | −55.1700 | − | 29.9901i | −2.14263 | − | 1.16472i | ||||
\(664\) | 1.71065 | + | 3.71525i | 0.0663861 | + | 0.144179i | ||||
\(665\) | −12.9591 | −0.502531 | ||||||||
\(666\) | −30.4006 | + | 11.7822i | −1.17800 | + | 0.456553i | ||||
\(667\) | − | 39.7789i | − | 1.54025i | ||||||
\(668\) | 4.04886 | − | 2.99405i | 0.156655 | − | 0.115843i | ||||
\(669\) | −25.1033 | + | 0.644983i | −0.970550 | + | 0.0249365i | ||||
\(670\) | −1.58301 | − | 4.80313i | −0.0611568 | − | 0.185561i | ||||
\(671\) | −0.0532777 | − | 0.0922796i | −0.00205676 | − | 0.00356242i | ||||
\(672\) | −7.66839 | + | 14.8428i | −0.295814 | + | 0.572572i | ||||
\(673\) | −6.23671 | + | 10.8023i | −0.240408 | + | 0.416398i | −0.960830 | − | 0.277137i | \(-0.910614\pi\) |
0.720423 | + | 0.693535i | \(0.243948\pi\) | |||||||
\(674\) | −27.0070 | − | 5.62184i | −1.04027 | − | 0.216545i | ||||
\(675\) | −2.24393 | + | 4.68666i | −0.0863688 | + | 0.180390i | ||||
\(676\) | −19.7280 | − | 8.58529i | −0.758771 | − | 0.330204i | ||||
\(677\) | −10.6396 | − | 6.14276i | −0.408912 | − | 0.236085i | 0.281410 | − | 0.959588i | \(-0.409198\pi\) |
−0.690322 | + | 0.723502i | \(0.742531\pi\) | |||||||
\(678\) | −4.03068 | − | 11.2493i | −0.154797 | − | 0.432026i | ||||
\(679\) | 9.71367 | + | 16.8246i | 0.372777 | + | 0.645668i | ||||
\(680\) | 20.9488 | + | 1.93478i | 0.803350 | + | 0.0741954i | ||||
\(681\) | 0.294056 | + | 11.4449i | 0.0112683 | + | 0.438571i | ||||
\(682\) | −5.52480 | − | 4.93261i | −0.211555 | − | 0.188879i | ||||
\(683\) | 16.0107i | 0.612631i | 0.951930 | + | 0.306316i | \(0.0990963\pi\) | ||||
−0.951930 | + | 0.306316i | \(0.900904\pi\) | |||||||
\(684\) | −16.0250 | + | 42.6922i | −0.612732 | + | 1.63238i | ||||
\(685\) | − | 4.80320i | − | 0.183521i | ||||||
\(686\) | 17.8145 | − | 19.9532i | 0.680161 | − | 0.761818i | ||||
\(687\) | −19.4641 | − | 10.5806i | −0.742603 | − | 0.403674i | ||||
\(688\) | −13.9828 | − | 4.28448i | −0.533090 | − | 0.163344i | ||||
\(689\) | 8.14087 | + | 14.1004i | 0.310142 | + | 0.537182i | ||||
\(690\) | −15.3791 | − | 13.0365i | −0.585474 | − | 0.496292i | ||||
\(691\) | −21.5291 | − | 12.4298i | −0.819007 | − | 0.472854i | 0.0310672 | − | 0.999517i | \(-0.490109\pi\) |
−0.850074 | + | 0.526664i | \(0.823443\pi\) | |||||||
\(692\) | 4.72630 | − | 10.8605i | 0.179667 | − | 0.412855i | ||||
\(693\) | 0.223665 | + | 4.34975i | 0.00849634 | + | 0.165233i | ||||
\(694\) | −3.20112 | + | 15.3780i | −0.121513 | + | 0.583740i | ||||
\(695\) | 1.06379 | − | 1.84254i | 0.0403519 | − | 0.0698916i | ||||
\(696\) | 13.1729 | − | 19.6738i | 0.499319 | − | 0.745734i | ||||
\(697\) | −18.1559 | − | 31.4470i | −0.687705 | − | 1.19114i | ||||
\(698\) | −42.9386 | + | 14.1516i | −1.62525 | + | 0.535646i | ||||
\(699\) | −7.09418 | − | 11.5895i | −0.268327 | − | 0.438354i | ||||
\(700\) | 2.74197 | − | 2.02763i | 0.103637 | − | 0.0766372i | ||||
\(701\) | 15.3781i | 0.580823i | 0.956902 | + | 0.290412i | \(0.0937922\pi\) | ||||
−0.956902 | + | 0.290412i | \(0.906208\pi\) | |||||||
\(702\) | −4.57817 | + | 35.5239i | −0.172792 | + | 1.34076i | ||||
\(703\) | 58.4055 | 2.20281 | ||||||||
\(704\) | 1.24757 | − | 6.69644i | 0.0470197 | − | 0.252382i | ||||
\(705\) | 3.58431 | − | 2.19404i | 0.134993 | − | 0.0826323i | ||||
\(706\) | 5.51318 | + | 16.7280i | 0.207491 | + | 0.629566i | ||||
\(707\) | 3.87243 | − | 2.23575i | 0.145638 | − | 0.0840839i | ||||
\(708\) | 11.3556 | − | 28.0413i | 0.426771 | − | 1.05386i | ||||
\(709\) | 24.7760 | + | 14.3045i | 0.930484 | + | 0.537215i | 0.886965 | − | 0.461838i | \(-0.152810\pi\) |
0.0435192 | + | 0.999053i | \(0.486143\pi\) | |||||||
\(710\) | −4.54689 | + | 21.8430i | −0.170642 | + | 0.819753i | ||||
\(711\) | 2.41568 | + | 3.72785i | 0.0905950 | + | 0.139805i | ||||
\(712\) | −15.8483 | − | 11.2116i | −0.593940 | − | 0.420171i | ||||
\(713\) | 25.3124 | − | 43.8424i | 0.947959 | − | 1.64191i | ||||
\(714\) | 20.0880 | − | 23.6977i | 0.751773 | − | 0.886864i | ||||
\(715\) | 3.59414 | − | 2.07508i | 0.134413 | − | 0.0776035i | ||||
\(716\) | −29.6706 | + | 3.37119i | −1.10884 | + | 0.125987i | ||||
\(717\) | 7.70411 | − | 14.1726i | 0.287715 | − | 0.529284i | ||||
\(718\) | 14.5628 | − | 16.3112i | 0.543481 | − | 0.608728i | ||||
\(719\) | −46.4531 | −1.73241 | −0.866203 | − | 0.499692i | \(-0.833447\pi\) | ||||
−0.866203 | + | 0.499692i | \(0.833447\pi\) | |||||||
\(720\) | −3.28911 | − | 11.5404i | −0.122578 | − | 0.430087i | ||||
\(721\) | −5.52554 | −0.205782 | ||||||||
\(722\) | 36.5082 | − | 40.8912i | 1.35870 | − | 1.52181i | ||||
\(723\) | 40.6704 | − | 1.04495i | 1.51255 | − | 0.0388621i | ||||
\(724\) | −5.08251 | + | 0.577478i | −0.188890 | + | 0.0214618i | ||||
\(725\) | −4.18548 | + | 2.41649i | −0.155445 | + | 0.0897462i | ||||
\(726\) | 8.48953 | + | 23.6935i | 0.315076 | + | 0.879350i | ||||
\(727\) | −11.5164 | + | 19.9471i | −0.427121 | + | 0.739796i | −0.996616 | − | 0.0821993i | \(-0.973806\pi\) |
0.569495 | + | 0.821995i | \(0.307139\pi\) | |||||||
\(728\) | 13.5760 | − | 19.1906i | 0.503159 | − | 0.711250i | ||||
\(729\) | 26.6799 | − | 4.14492i | 0.988146 | − | 0.153515i | ||||
\(730\) | −2.48558 | + | 11.9406i | −0.0919953 | + | 0.441940i | ||||
\(731\) | 23.5510 | + | 13.5972i | 0.871067 | + | 0.502911i | ||||
\(732\) | 0.429343 | − | 0.0599885i | 0.0158690 | − | 0.00221724i | ||||
\(733\) | −30.0044 | + | 17.3230i | −1.10824 | + | 0.639841i | −0.938372 | − | 0.345626i | \(-0.887666\pi\) |
−0.169865 | + | 0.985467i | \(0.554333\pi\) | |||||||
\(734\) | −8.97179 | − | 27.2220i | −0.331155 | − | 1.00478i | ||||
\(735\) | 0.182067 | + | 7.08623i | 0.00671566 | + | 0.261379i | ||||
\(736\) | 46.5497 | − | 0.979512i | 1.71584 | − | 0.0361053i | ||||
\(737\) | 3.04483 | 0.112158 | ||||||||
\(738\) | −12.9826 | + | 16.1383i | −0.477898 | + | 0.594059i | ||||
\(739\) | − | 6.48507i | − | 0.238557i | −0.992861 | − | 0.119279i | \(-0.961942\pi\) | ||
0.992861 | − | 0.119279i | \(-0.0380582\pi\) | |||||||
\(740\) | −12.3578 | + | 9.13837i | −0.454283 | + | 0.335933i | ||||
\(741\) | 30.6435 | − | 56.3721i | 1.12572 | − | 2.07088i | ||||
\(742\) | −7.65026 | + | 2.52136i | −0.280850 | + | 0.0925620i | ||||
\(743\) | −16.1158 | − | 27.9133i | −0.591230 | − | 1.02404i | −0.994067 | − | 0.108769i | \(-0.965309\pi\) |
0.402837 | − | 0.915272i | \(-0.368024\pi\) | |||||||
\(744\) | 27.0376 | − | 13.3012i | 0.991246 | − | 0.487647i | ||||
\(745\) | 5.20460 | − | 9.01464i | 0.190682 | − | 0.330271i | ||||
\(746\) | 5.48658 | − | 26.3572i | 0.200878 | − | 0.965006i | ||||
\(747\) | −3.64070 | + | 2.35920i | −0.133206 | + | 0.0863188i | ||||
\(748\) | −5.05431 | + | 11.6142i | −0.184804 | + | 0.424659i | ||||
\(749\) | −18.9515 | − | 10.9417i | −0.692473 | − | 0.399800i | ||||
\(750\) | −0.437433 | + | 2.41011i | −0.0159728 | + | 0.0880049i | ||||
\(751\) | −14.8481 | − | 25.7176i | −0.541813 | − | 0.938448i | −0.998800 | − | 0.0489749i | \(-0.984405\pi\) |
0.456987 | − | 0.889474i | \(-0.348929\pi\) | |||||||
\(752\) | −2.84332 | + | 9.27944i | −0.103685 | + | 0.338386i | ||||
\(753\) | 10.6683 | − | 6.53033i | 0.388775 | − | 0.237978i | ||||
\(754\) | −22.1873 | + | 24.8510i | −0.808013 | + | 0.905019i | ||||
\(755\) | − | 4.70466i | − | 0.171220i | ||||||
\(756\) | −16.7443 | − | 5.79904i | −0.608985 | − | 0.210909i | ||||
\(757\) | 43.7677i | 1.59076i | 0.606109 | + | 0.795382i | \(0.292730\pi\) | ||||
−0.606109 | + | 0.795382i | \(0.707270\pi\) | |||||||
\(758\) | 0.196716 | + | 0.175630i | 0.00714503 | + | 0.00637918i | ||||
\(759\) | 10.3528 | − | 6.33720i | 0.375783 | − | 0.230026i | ||||
\(760\) | −1.97694 | + | 21.4053i | −0.0717111 | + | 0.776451i | ||||
\(761\) | 22.5786 | + | 39.1073i | 0.818473 | + | 1.41764i | 0.906807 | + | 0.421546i | \(0.138512\pi\) |
−0.0883337 | + | 0.996091i | \(0.528154\pi\) | |||||||
\(762\) | 16.6470 | + | 3.02141i | 0.603058 | + | 0.109454i | ||||
\(763\) | −0.873480 | − | 0.504304i | −0.0316221 | − | 0.0182570i | ||||
\(764\) | 27.6518 | + | 12.0336i | 1.00041 | + | 0.435359i | ||||
\(765\) | 1.14588 | + | 22.2847i | 0.0414295 | + | 0.805705i | ||||
\(766\) | −20.5530 | − | 4.27837i | −0.742612 | − | 0.154584i | ||||
\(767\) | −21.2840 | + | 36.8650i | −0.768521 | + | 1.33112i | ||||
\(768\) | 23.3469 | + | 14.9306i | 0.842457 | + | 0.538763i | ||||
\(769\) | −24.5441 | − | 42.5116i | −0.885081 | − | 1.53301i | −0.845620 | − | 0.533785i | \(-0.820769\pi\) |
−0.0394608 | − | 0.999221i | \(-0.512564\pi\) | |||||||
\(770\) | 0.642685 | + | 1.95002i | 0.0231608 | + | 0.0702740i | ||||
\(771\) | 13.7174 | − | 25.2347i | 0.494021 | − | 0.908805i | ||||
\(772\) | 28.6253 | − | 21.1678i | 1.03025 | − | 0.761847i | ||||
\(773\) | − | 43.6235i | − | 1.56903i | −0.620110 | − | 0.784515i | \(-0.712912\pi\) | ||
0.620110 | − | 0.784515i | \(-0.287088\pi\) | |||||||
\(774\) | 2.37716 | − | 15.3284i | 0.0854453 | − | 0.550967i | ||||
\(775\) | −6.15072 | −0.220941 | ||||||||
\(776\) | 29.2720 | − | 13.4780i | 1.05080 | − | 0.483833i | ||||
\(777\) | 0.582937 | + | 22.6884i | 0.0209128 | + | 0.813943i | ||||
\(778\) | 8.65683 | − | 2.85310i | 0.310362 | − | 0.102289i | ||||
\(779\) | 32.1322 | − | 18.5515i | 1.15125 | − | 0.664677i | ||||
\(780\) | 2.33645 | + | 16.7222i | 0.0836585 | + | 0.598751i | ||||
\(781\) | −11.6333 | − | 6.71648i | −0.416272 | − | 0.240334i | ||||
\(782\) | −84.7619 | − | 17.6442i | −3.03108 | − | 0.630957i | ||||
\(783\) | 22.6505 | + | 10.8449i | 0.809464 | + | 0.387564i | ||||
\(784\) | −11.1571 | − | 11.9795i | −0.398468 | − | 0.427838i | ||||
\(785\) | −0.717118 | + | 1.24208i | −0.0255950 | + | 0.0443319i | ||||
\(786\) | −19.7710 | + | 7.08406i | −0.705209 | + | 0.252680i | ||||
\(787\) | −22.5585 | + | 13.0242i | −0.804124 | + | 0.464261i | −0.844911 | − | 0.534907i | \(-0.820347\pi\) |
0.0407870 | + | 0.999168i | \(0.487013\pi\) | |||||||
\(788\) | 17.3113 | − | 1.96692i | 0.616691 | − | 0.0700688i | ||||
\(789\) | −3.16909 | + | 0.0814239i | −0.112823 | + | 0.00289877i | ||||
\(790\) | 1.56205 | + | 1.39462i | 0.0555753 | + | 0.0496184i | ||||
\(791\) | −8.31823 | −0.295762 | ||||||||
\(792\) | 7.21887 | + | 0.294124i | 0.256511 | + | 0.0104512i | ||||
\(793\) | −0.609977 | −0.0216609 | ||||||||
\(794\) | 25.3277 | + | 22.6129i | 0.898848 | + | 0.802504i | ||||
\(795\) | 2.76323 | − | 5.08326i | 0.0980016 | − | 0.180285i | ||||
\(796\) | 2.82294 | + | 24.8453i | 0.100056 | + | 0.880618i | ||||
\(797\) | 7.64772 | − | 4.41541i | 0.270896 | − | 0.156402i | −0.358399 | − | 0.933569i | \(-0.616677\pi\) |
0.629295 | + | 0.777167i | \(0.283344\pi\) | |||||||
\(798\) | 24.2141 | + | 20.5257i | 0.857169 | + | 0.726601i | ||||
\(799\) | 9.02354 | − | 15.6292i | 0.319230 | − | 0.552922i | ||||
\(800\) | −2.93086 | − | 4.83839i | −0.103622 | − | 0.171063i | ||||
\(801\) | 9.36604 | − | 18.3372i | 0.330933 | − | 0.647914i | ||||
\(802\) | 42.6632 | + | 8.88087i | 1.50649 | + | 0.313594i | ||||
\(803\) | −6.35937 | − | 3.67159i | −0.224417 | − | 0.129567i | ||||
\(804\) | −4.64975 | + | 11.4820i | −0.163984 | + | 0.404937i | ||||
\(805\) | −12.1541 | + | 7.01716i | −0.428375 | + | 0.247322i | ||||
\(806\) | −40.2671 | + | 13.2712i | −1.41835 | + | 0.467457i | ||||
\(807\) | 24.2523 | − | 14.8454i | 0.853722 | − | 0.522584i | ||||
\(808\) | −3.10217 | − | 6.73740i | −0.109134 | − | 0.237021i | ||||
\(809\) | 35.5039 | 1.24825 | 0.624125 | − | 0.781325i | \(-0.285456\pi\) | ||||
0.624125 | + | 0.781325i | \(0.285456\pi\) | |||||||
\(810\) | 11.6159 | − | 5.20292i | 0.408142 | − | 0.182812i | ||||
\(811\) | 21.2397i | 0.745827i | 0.927866 | + | 0.372913i | \(0.121641\pi\) | ||||
−0.927866 | + | 0.372913i | \(0.878359\pi\) | |||||||
\(812\) | −9.79949 | − | 13.2519i | −0.343895 | − | 0.465049i | ||||
\(813\) | −4.31124 | − | 7.04309i | −0.151202 | − | 0.247012i | ||||
\(814\) | −2.89653 | − | 8.78861i | −0.101523 | − | 0.308041i | ||||
\(815\) | −5.97108 | − | 10.3422i | −0.209158 | − | 0.362272i | ||||
\(816\) | −36.0785 | − | 36.7957i | −1.26300 | − | 1.28811i | ||||
\(817\) | −13.8935 | + | 24.0642i | −0.486071 | + | 0.841900i | ||||
\(818\) | 18.2392 | + | 3.79671i | 0.637717 | + | 0.132749i | ||||
\(819\) | 22.2044 | + | 11.3413i | 0.775884 | + | 0.396295i | ||||
\(820\) | −3.89610 | + | 8.95279i | −0.136058 | + | 0.312645i | ||||
\(821\) | −2.28507 | − | 1.31928i | −0.0797493 | − | 0.0460433i | 0.459595 | − | 0.888129i | \(-0.347995\pi\) |
−0.539344 | + | 0.842085i | \(0.681328\pi\) | |||||||
\(822\) | −7.60772 | + | 8.97480i | −0.265350 | + | 0.313032i | ||||
\(823\) | −25.2381 | − | 43.7136i | −0.879744 | − | 1.52376i | −0.851622 | − | 0.524156i | \(-0.824381\pi\) |
−0.0281216 | − | 0.999605i | \(-0.508953\pi\) | |||||||
\(824\) | −0.842936 | + | 9.12688i | −0.0293651 | + | 0.317950i | ||||
\(825\) | −1.29570 | − | 0.704337i | −0.0451106 | − | 0.0245219i | ||||
\(826\) | −15.7095 | − | 14.0257i | −0.546604 | − | 0.488015i | ||||
\(827\) | − | 3.65338i | − | 0.127041i | −0.997981 | − | 0.0635203i | \(-0.979767\pi\) | ||
0.997981 | − | 0.0635203i | \(-0.0202328\pi\) | |||||||
\(828\) | 8.08764 | + | 48.7176i | 0.281065 | + | 1.69305i | ||||
\(829\) | 6.45567i | 0.224215i | 0.993696 | + | 0.112107i | \(0.0357600\pi\) | ||||
−0.993696 | + | 0.112107i | \(0.964240\pi\) | |||||||
\(830\) | −1.36202 | + | 1.52553i | −0.0472763 | + | 0.0529521i | ||||
\(831\) | 1.46649 | + | 57.0770i | 0.0508719 | + | 1.97998i | ||||
\(832\) | −29.6272 | − | 25.3518i | −1.02714 | − | 0.878917i | ||||
\(833\) | 15.2204 | + | 26.3625i | 0.527356 | + | 0.913408i | ||||
\(834\) | −4.90608 | + | 1.75787i | −0.169884 | + | 0.0608702i | ||||
\(835\) | 2.18050 | + | 1.25891i | 0.0754592 | + | 0.0435664i | ||||
\(836\) | −11.8673 | − | 5.16444i | −0.410439 | − | 0.178616i | ||||
\(837\) | 18.0635 | + | 26.3659i | 0.624365 | + | 0.911338i | ||||
\(838\) | −2.18510 | + | 10.4971i | −0.0754830 | + | 0.362616i | ||||
\(839\) | 11.6806 | − | 20.2314i | 0.403260 | − | 0.698467i | −0.590857 | − | 0.806776i | \(-0.701210\pi\) |
0.994117 | + | 0.108309i | \(0.0345437\pi\) | |||||||
\(840\) | −8.33491 | − | 0.554326i | −0.287582 | − | 0.0191261i | ||||
\(841\) | −2.82115 | − | 4.88637i | −0.0972809 | − | 0.168496i | ||||
\(842\) | −31.1072 | + | 10.2523i | −1.07203 | + | 0.353316i | ||||
\(843\) | −0.233617 | + | 0.00600235i | −0.00804620 | + | 0.000206732i | ||||
\(844\) | 17.8777 | + | 24.1761i | 0.615376 | + | 0.832174i | ||||
\(845\) | − | 10.7576i | − | 0.370072i | ||||||
\(846\) | −10.1724 | − | 1.57756i | −0.349734 | − | 0.0542376i | ||||
\(847\) | 17.5201 | 0.601997 | ||||||||
\(848\) | 2.99762 | + | 13.0210i | 0.102939 | + | 0.447144i | ||||
\(849\) | −34.8342 | − | 18.9356i | −1.19551 | − | 0.649870i | ||||
\(850\) | 3.29261 | + | 9.99038i | 0.112936 | + | 0.342667i | ||||
\(851\) | 54.7775 | − | 31.6258i | 1.87775 | − | 1.08412i | ||||
\(852\) | 43.0927 | − | 33.6120i | 1.47633 | − | 1.15153i | ||||
\(853\) | −42.3416 | − | 24.4459i | −1.44975 | − | 0.837013i | −0.451283 | − | 0.892381i | \(-0.649034\pi\) |
−0.998466 | + | 0.0553674i | \(0.982367\pi\) | |||||||
\(854\) | 0.0614995 | − | 0.295440i | 0.00210447 | − | 0.0101097i | ||||
\(855\) | −22.7703 | + | 1.17085i | −0.778726 | + | 0.0400423i | ||||
\(856\) | −20.9641 | + | 29.6342i | −0.716538 | + | 1.01288i | ||||
\(857\) | 3.30440 | − | 5.72339i | 0.112876 | − | 0.195507i | −0.804053 | − | 0.594558i | \(-0.797327\pi\) |
0.916929 | + | 0.399051i | \(0.130660\pi\) | |||||||
\(858\) | −10.0023 | − | 1.81541i | −0.341475 | − | 0.0619772i | ||||
\(859\) | 27.7178 | − | 16.0029i | 0.945721 | − | 0.546012i | 0.0539718 | − | 0.998542i | \(-0.482812\pi\) |
0.891749 | + | 0.452530i | \(0.149479\pi\) | |||||||
\(860\) | −0.825510 | − | 7.26550i | −0.0281497 | − | 0.247751i | ||||
\(861\) | 7.52730 | + | 12.2970i | 0.256530 | + | 0.419082i | ||||
\(862\) | −4.89584 | + | 5.48360i | −0.166753 | + | 0.186772i | ||||
\(863\) | 23.8402 | 0.811529 | 0.405765 | − | 0.913978i | \(-0.367005\pi\) | ||||
0.405765 | + | 0.913978i | \(0.367005\pi\) | |||||||
\(864\) | −12.1330 | + | 26.7729i | −0.412774 | + | 0.910834i | ||||
\(865\) | 5.92217 | 0.201360 | ||||||||
\(866\) | 21.9686 | − | 24.6060i | 0.746522 | − | 0.836146i | ||||
\(867\) | 34.6556 | + | 56.6154i | 1.17697 | + | 1.92276i | ||||
\(868\) | −2.36800 | − | 20.8413i | −0.0803751 | − | 0.707399i | ||||
\(869\) | −1.09185 | + | 0.630379i | −0.0370384 | + | 0.0213841i | ||||
\(870\) | 11.6480 | + | 2.11410i | 0.394905 | + | 0.0716748i | ||||
\(871\) | 8.71509 | − | 15.0950i | 0.295299 | − | 0.511474i | ||||
\(872\) | −0.966241 | + | 1.36585i | −0.0327211 | + | 0.0462534i | ||||
\(873\) | 18.5879 | + | 28.6847i | 0.629106 | + | 0.970830i | ||||
\(874\) | 18.0287 | − | 86.6088i | 0.609830 | − | 2.92959i | ||||
\(875\) | 1.47667 | + | 0.852557i | 0.0499206 | + | 0.0288217i | ||||
\(876\) | 23.5568 | − | 18.3741i | 0.795909 | − | 0.620803i | ||||
\(877\) | 25.5474 | − | 14.7498i | 0.862676 | − | 0.498066i | −0.00223174 | − | 0.999998i | \(-0.500710\pi\) |
0.864907 | + | 0.501931i | \(0.167377\pi\) | |||||||
\(878\) | 10.0427 | + | 30.4713i | 0.338924 | + | 1.02836i | ||||
\(879\) | 19.0403 | + | 10.3502i | 0.642212 | + | 0.349102i | ||||
\(880\) | 3.31902 | − | 0.764081i | 0.111884 | − | 0.0257572i | ||||
\(881\) | −25.3451 | −0.853897 | −0.426948 | − | 0.904276i | \(-0.640411\pi\) | ||||
−0.426948 | + | 0.904276i | \(0.640411\pi\) | |||||||
\(882\) | 10.8836 | − | 13.5290i | 0.366469 | − | 0.455546i | ||||
\(883\) | 45.7843i | 1.54077i | 0.637582 | + | 0.770383i | \(0.279935\pi\) | ||||
−0.637582 | + | 0.770383i | \(0.720065\pi\) | |||||||
\(884\) | 43.1117 | + | 58.3000i | 1.45000 | + | 1.96084i | ||||
\(885\) | 15.1217 | − | 0.388523i | 0.508309 | − | 0.0130601i | ||||
\(886\) | 53.5534 | − | 17.6500i | 1.79916 | − | 0.592965i | ||||
\(887\) | −6.58210 | − | 11.4005i | −0.221005 | − | 0.382793i | 0.734108 | − | 0.679033i | \(-0.237601\pi\) |
−0.955114 | + | 0.296240i | \(0.904267\pi\) | |||||||
\(888\) | 37.5648 | + | 2.49830i | 1.26059 | + | 0.0838376i | ||||
\(889\) | 5.88874 | − | 10.1996i | 0.197502 | − | 0.342084i | ||||
\(890\) | 1.97814 | − | 9.50284i | 0.0663072 | − | 0.318536i | ||||
\(891\) | 0.786000 | + | 7.62270i | 0.0263320 | + | 0.255370i | ||||
\(892\) | 26.5878 | + | 11.5705i | 0.890226 | + | 0.387410i | ||||
\(893\) | 15.9698 | + | 9.22015i | 0.534408 | + | 0.308541i | ||||
\(894\) | −24.0030 | + | 8.60040i | −0.802780 | + | 0.287640i | ||||
\(895\) | −7.46537 | − | 12.9304i | −0.249540 | − | 0.432216i | ||||
\(896\) | 15.2662 | − | 11.7938i | 0.510007 | − | 0.394002i | ||||
\(897\) | −1.78473 | − | 69.4635i | −0.0595905 | − | 2.31932i | ||||
\(898\) | 33.4251 | − | 37.4380i | 1.11541 | − | 1.24932i | ||||
\(899\) | 29.7263i | 0.991429i | ||||||||
\(900\) | 4.63469 | − | 3.81047i | 0.154490 | − | 0.127016i | ||||
\(901\) | − | 24.8461i | − | 0.827744i | ||||||
\(902\) | −4.38510 | − | 3.91508i | −0.146008 | − | 0.130358i | ||||
\(903\) | −9.48674 | − | 5.15693i | −0.315699 | − | 0.171612i | ||||
\(904\) | −1.26897 | + | 13.7397i | −0.0422052 | + | 0.456977i | ||||
\(905\) | −1.27880 | − | 2.21495i | −0.0425089 | − | 0.0736275i | ||||
\(906\) | −7.45165 | + | 8.79068i | −0.247564 | + | 0.292051i | ||||
\(907\) | −44.7628 | − | 25.8438i | −1.48632 | − | 0.858130i | −0.486445 | − | 0.873711i | \(-0.661707\pi\) |
−0.999879 | + | 0.0155815i | \(0.995040\pi\) | |||||||
\(908\) | 5.27517 | − | 12.1217i | 0.175063 | − | 0.402274i | ||||
\(909\) | 6.60221 | − | 4.27829i | 0.218982 | − | 0.141902i | ||||
\(910\) | 11.5069 | + | 2.39531i | 0.381450 | + | 0.0794036i | ||||
\(911\) | −0.945248 | + | 1.63722i | −0.0313175 | + | 0.0542435i | −0.881259 | − | 0.472633i | \(-0.843304\pi\) |
0.849942 | + | 0.526876i | \(0.176637\pi\) | |||||||
\(912\) | 37.5974 | − | 36.8646i | 1.24497 | − | 1.22071i | ||||
\(913\) | −0.615642 | − | 1.06632i | −0.0203748 | − | 0.0352901i | ||||
\(914\) | −2.57681 | − | 7.81850i | −0.0852332 | − | 0.258613i | ||||
\(915\) | 0.113164 | + | 0.184871i | 0.00374109 | + | 0.00611166i | ||||
\(916\) | 15.2099 | + | 20.5684i | 0.502550 | + | 0.679600i | ||||
\(917\) | 14.6196i | 0.482781i | ||||||||
\(918\) | 33.1553 | − | 43.4540i | 1.09429 | − | 1.43420i | ||||
\(919\) | 22.9700 | 0.757709 | 0.378855 | − | 0.925456i | \(-0.376318\pi\) | ||||
0.378855 | + | 0.925456i | \(0.376318\pi\) | |||||||
\(920\) | 9.73653 | + | 21.1461i | 0.321004 | + | 0.697167i | ||||
\(921\) | 11.1597 | − | 6.83110i | 0.367724 | − | 0.225093i | ||||
\(922\) | −41.5751 | + | 13.7022i | −1.36920 | + | 0.451259i | ||||
\(923\) | −66.5948 | + | 38.4485i | −2.19199 | + | 1.26555i | ||||
\(924\) | 1.88775 | − | 4.66157i | 0.0621025 | − | 0.153354i | ||||
\(925\) | −6.65525 | − | 3.84241i | −0.218823 | − | 0.126338i | ||||
\(926\) | 0.326723 | + | 0.0680114i | 0.0107368 | + | 0.00223499i | ||||
\(927\) | −9.70889 | + | 0.499233i | −0.318882 | + | 0.0163970i | ||||
\(928\) | −23.3839 | + | 14.1648i | −0.767613 | + | 0.464983i | ||||
\(929\) | −20.2184 | + | 35.0193i | −0.663344 | + | 1.14894i | 0.316388 | + | 0.948630i | \(0.397530\pi\) |
−0.979732 | + | 0.200315i | \(0.935803\pi\) | |||||||
\(930\) | 11.4927 | + | 9.74204i | 0.376859 | + | 0.319454i | ||||
\(931\) | −26.9370 | + | 15.5521i | −0.882823 | + | 0.509698i | ||||
\(932\) | 1.77136 | + | 15.5902i | 0.0580229 | + | 0.510672i | ||||
\(933\) | −2.47833 | + | 4.55916i | −0.0811368 | + | 0.149260i | ||||
\(934\) | 13.3654 | + | 11.9329i | 0.437331 | + | 0.390455i | ||||
\(935\) | −6.33318 | −0.207117 | ||||||||
\(936\) | 22.1204 | − | 34.9462i | 0.723027 | − | 1.14225i | ||||
\(937\) | −41.0183 | −1.34001 | −0.670004 | − | 0.742357i | \(-0.733708\pi\) | ||||
−0.670004 | + | 0.742357i | \(0.733708\pi\) | |||||||
\(938\) | 6.43252 | + | 5.74304i | 0.210029 | + | 0.187517i | ||||
\(939\) | −16.5926 | + | 0.426317i | −0.541480 | + | 0.0139123i | ||||
\(940\) | −4.82162 | + | 0.547835i | −0.157264 | + | 0.0178684i | ||||
\(941\) | −39.6259 | + | 22.8780i | −1.29177 | + | 0.745803i | −0.978968 | − | 0.204016i | \(-0.934600\pi\) |
−0.312801 | + | 0.949819i | \(0.601267\pi\) | |||||||
\(942\) | 3.30726 | − | 1.18501i | 0.107756 | − | 0.0386097i | ||||
\(943\) | 20.0908 | − | 34.7983i | 0.654247 | − | 1.13319i | ||||
\(944\) | −25.5636 | + | 23.8087i | −0.832024 | + | 0.774908i | ||||
\(945\) | −0.682100 | − | 8.83374i | −0.0221887 | − | 0.287361i | ||||
\(946\) | 4.31010 | + | 0.897202i | 0.140134 | + | 0.0291705i | ||||
\(947\) | 12.9783 | + | 7.49303i | 0.421738 | + | 0.243491i | 0.695821 | − | 0.718215i | \(-0.255041\pi\) |
−0.274082 | + | 0.961706i | \(0.588374\pi\) | |||||||
\(948\) | −0.709781 | − | 5.07997i | −0.0230526 | − | 0.164990i | ||||
\(949\) | −36.4043 | + | 21.0180i | −1.18173 | + | 0.682274i | ||||
\(950\) | −10.2081 | + | 3.36436i | −0.331193 | + | 0.109154i | ||||
\(951\) | 1.22709 | + | 47.7594i | 0.0397911 | + | 1.54871i | ||||
\(952\) | −32.5840 | + | 15.0030i | −1.05605 | + | 0.486251i | ||||
\(953\) | 25.2006 | 0.816328 | 0.408164 | − | 0.912909i | \(-0.366169\pi\) | ||||
0.408164 | + | 0.912909i | \(0.366169\pi\) | |||||||
\(954\) | −13.2144 | + | 5.12146i | −0.427832 | + | 0.165813i | ||||
\(955\) | 15.0784i | 0.487924i | ||||||||
\(956\) | −14.9766 | + | 11.0749i | −0.484379 | + | 0.358188i | ||||
\(957\) | −3.40405 | + | 6.26212i | −0.110037 | + | 0.202425i | ||||
\(958\) | 8.10782 | + | 24.6006i | 0.261952 | + | 0.794809i | ||||
\(959\) | 4.09500 | + | 7.09276i | 0.132235 | + | 0.229037i | ||||
\(960\) | −2.18712 | + | 13.6827i | −0.0705891 | + | 0.441607i | ||||
\(961\) | −3.41570 | + | 5.91617i | −0.110184 | + | 0.190844i | ||||
\(962\) | −51.8607 | − | 10.7955i | −1.67206 | − | 0.348060i | ||||
\(963\) | −34.2881 | − | 17.5132i | −1.10492 | − | 0.564356i | ||||
\(964\) | −43.0755 | − | 18.7457i | −1.38737 | − | 0.603758i | ||||
\(965\) | 15.4160 | + | 8.90043i | 0.496259 | + | 0.286515i | ||||
\(966\) | 33.8243 | + | 6.13907i | 1.08828 | + | 0.197521i | ||||
\(967\) | 8.41510 | + | 14.5754i | 0.270611 | + | 0.468713i | 0.969019 | − | 0.246988i | \(-0.0794408\pi\) |
−0.698407 | + | 0.715701i | \(0.746107\pi\) | |||||||
\(968\) | 2.67273 | − | 28.9390i | 0.0859049 | − | 0.930134i | ||||
\(969\) | −83.5096 | + | 51.1182i | −2.68271 | + | 1.64215i | ||||
\(970\) | 12.0195 | + | 10.7312i | 0.385923 | + | 0.344558i | ||||
\(971\) | − | 17.1970i | − | 0.551877i | −0.961175 | − | 0.275938i | \(-0.911011\pi\) | ||
0.961175 | − | 0.275938i | \(-0.0889885\pi\) | |||||||
\(972\) | −29.9452 | − | 8.67660i | −0.960494 | − | 0.278302i | ||||
\(973\) | 3.62777i | 0.116301i | ||||||||
\(974\) | 3.65011 | − | 4.08833i | 0.116957 | − | 0.130998i | ||||
\(975\) | −7.20043 | + | 4.40755i | −0.230598 | + | 0.141155i | ||||
\(976\) | −0.478614 | − | 0.146653i | −0.0153201 | − | 0.00469424i | ||||
\(977\) | −12.8804 | − | 22.3095i | −0.412080 | − | 0.713744i | 0.583037 | − | 0.812446i | \(-0.301864\pi\) |
−0.995117 | + | 0.0987020i | \(0.968531\pi\) | |||||||
\(978\) | −5.22389 | + | 28.7820i | −0.167042 | + | 0.920346i | ||||
\(979\) | 5.06108 | + | 2.92202i | 0.161753 | + | 0.0933881i | ||||
\(980\) | 3.26616 | − | 7.50528i | 0.104334 | − | 0.239747i | ||||
\(981\) | −1.58035 | − | 0.807189i | −0.0504566 | − | 0.0257716i | ||||
\(982\) | −3.88041 | + | 18.6412i | −0.123829 | + | 0.594866i | ||||
\(983\) | 16.3060 | − | 28.2427i | 0.520079 | − | 0.900803i | −0.479648 | − | 0.877461i | \(-0.659236\pi\) |
0.999728 | − | 0.0233426i | \(-0.00743086\pi\) | |||||||
\(984\) | 21.4601 | − | 10.5574i | 0.684122 | − | 0.336556i | ||||
\(985\) | 4.35568 | + | 7.54426i | 0.138783 | + | 0.240380i | ||||
\(986\) | 48.2833 | − | 15.9131i | 1.53765 | − | 0.506777i | ||||
\(987\) | −3.42230 | + | 6.29570i | −0.108933 | + | 0.200394i | ||||
\(988\) | −59.5703 | + | 44.0511i | −1.89518 | + | 1.40145i | ||||
\(989\) | 30.0925i | 0.956887i | ||||||||
\(990\) | 1.30544 | + | 3.36830i | 0.0414897 | + | 0.107052i | ||||
\(991\) | 19.1417 | 0.608057 | 0.304029 | − | 0.952663i | \(-0.401668\pi\) | ||||
0.304029 | + | 0.952663i | \(0.401668\pi\) | |||||||
\(992\) | −34.7860 | + | 0.731978i | −1.10446 | + | 0.0232403i | ||||
\(993\) | −1.40616 | − | 54.7292i | −0.0446233 | − | 1.73678i | ||||
\(994\) | −11.9081 | − | 36.1314i | −0.377703 | − | 1.14602i | ||||
\(995\) | −10.8275 | + | 6.25128i | −0.343256 | + | 0.198179i | ||||
\(996\) | 4.96121 | − | 0.693188i | 0.157202 | − | 0.0219645i | ||||
\(997\) | −22.4248 | − | 12.9470i | −0.710200 | − | 0.410034i | 0.100935 | − | 0.994893i | \(-0.467817\pi\) |
−0.811135 | + | 0.584859i | \(0.801150\pi\) | |||||||
\(998\) | 4.10065 | − | 19.6993i | 0.129804 | − | 0.623570i | ||||
\(999\) | 3.07417 | + | 39.8130i | 0.0972626 | + | 1.25963i |
(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.bf.b.61.11 | ✓ | 92 | |
3.2 | odd | 2 | 1080.2.bf.b.181.36 | 92 | |||
4.3 | odd | 2 | 1440.2.bv.b.241.16 | 92 | |||
8.3 | odd | 2 | 1440.2.bv.b.241.31 | 92 | |||
8.5 | even | 2 | inner | 360.2.bf.b.61.19 | yes | 92 | |
9.4 | even | 3 | inner | 360.2.bf.b.301.19 | yes | 92 | |
9.5 | odd | 6 | 1080.2.bf.b.901.28 | 92 | |||
12.11 | even | 2 | 4320.2.bv.b.721.12 | 92 | |||
24.5 | odd | 2 | 1080.2.bf.b.181.28 | 92 | |||
24.11 | even | 2 | 4320.2.bv.b.721.34 | 92 | |||
36.23 | even | 6 | 4320.2.bv.b.3601.34 | 92 | |||
36.31 | odd | 6 | 1440.2.bv.b.1201.31 | 92 | |||
72.5 | odd | 6 | 1080.2.bf.b.901.36 | 92 | |||
72.13 | even | 6 | inner | 360.2.bf.b.301.11 | yes | 92 | |
72.59 | even | 6 | 4320.2.bv.b.3601.12 | 92 | |||
72.67 | odd | 6 | 1440.2.bv.b.1201.16 | 92 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
360.2.bf.b.61.11 | ✓ | 92 | 1.1 | even | 1 | trivial | |
360.2.bf.b.61.19 | yes | 92 | 8.5 | even | 2 | inner | |
360.2.bf.b.301.11 | yes | 92 | 72.13 | even | 6 | inner | |
360.2.bf.b.301.19 | yes | 92 | 9.4 | even | 3 | inner | |
1080.2.bf.b.181.28 | 92 | 24.5 | odd | 2 | |||
1080.2.bf.b.181.36 | 92 | 3.2 | odd | 2 | |||
1080.2.bf.b.901.28 | 92 | 9.5 | odd | 6 | |||
1080.2.bf.b.901.36 | 92 | 72.5 | odd | 6 | |||
1440.2.bv.b.241.16 | 92 | 4.3 | odd | 2 | |||
1440.2.bv.b.241.31 | 92 | 8.3 | odd | 2 | |||
1440.2.bv.b.1201.16 | 92 | 72.67 | odd | 6 | |||
1440.2.bv.b.1201.31 | 92 | 36.31 | odd | 6 | |||
4320.2.bv.b.721.12 | 92 | 12.11 | even | 2 | |||
4320.2.bv.b.721.34 | 92 | 24.11 | even | 2 | |||
4320.2.bv.b.3601.12 | 92 | 72.59 | even | 6 | |||
4320.2.bv.b.3601.34 | 92 | 36.23 | even | 6 |