Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [370,2,Mod(97,370)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(370, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([3, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("370.97");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 370 = 2 \cdot 5 \cdot 37 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 370.q (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.95446487479\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 103.5 | ||
Character | \(\chi\) | \(=\) | 370.103 |
Dual form | 370.2.q.f.97.5 |
$q$-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 \(\left(\mathbb{Z}/370\mathbb{Z}\right)^\times\).
\(n\) | \(261\) | \(297\) |
\(\chi(n)\) | \(e\left(\frac{7}{12}\right)\) | \(e\left(\frac{3}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.500000 | + | 0.866025i | 0.353553 | + | 0.612372i | ||||
\(3\) | −0.0267201 | − | 0.0997208i | −0.0154269 | − | 0.0575738i | 0.957783 | − | 0.287491i | \(-0.0928211\pi\) |
−0.973210 | + | 0.229917i | \(0.926154\pi\) | |||||||
\(4\) | −0.500000 | + | 0.866025i | −0.250000 | + | 0.433013i | ||||
\(5\) | 0.206483 | − | 2.22651i | 0.0923420 | − | 0.995727i | ||||
\(6\) | 0.0730007 | − | 0.0730007i | 0.0298024 | − | 0.0298024i | ||||
\(7\) | −0.571833 | − | 2.13411i | −0.216133 | − | 0.806618i | −0.985765 | − | 0.168130i | \(-0.946227\pi\) |
0.769632 | − | 0.638487i | \(-0.220440\pi\) | |||||||
\(8\) | −1.00000 | −0.353553 | ||||||||
\(9\) | 2.58885 | − | 1.49467i | 0.862949 | − | 0.498224i | ||||
\(10\) | 2.03146 | − | 0.934438i | 0.642404 | − | 0.295495i | ||||
\(11\) | − | 2.16169i | − | 0.651774i | −0.945409 | − | 0.325887i | \(-0.894337\pi\) | ||
0.945409 | − | 0.325887i | \(-0.105663\pi\) | |||||||
\(12\) | 0.0997208 | + | 0.0267201i | 0.0287869 | + | 0.00771343i | ||||
\(13\) | 0.466433 | − | 0.807886i | 0.129365 | − | 0.224067i | −0.794066 | − | 0.607832i | \(-0.792039\pi\) |
0.923431 | + | 0.383765i | \(0.125373\pi\) | |||||||
\(14\) | 1.56228 | − | 1.56228i | 0.417536 | − | 0.417536i | ||||
\(15\) | −0.227547 | + | 0.0389020i | −0.0587524 | + | 0.0100445i | ||||
\(16\) | −0.500000 | − | 0.866025i | −0.125000 | − | 0.216506i | ||||
\(17\) | −4.83629 | + | 2.79223i | −1.17297 | + | 0.677216i | −0.954379 | − | 0.298599i | \(-0.903481\pi\) |
−0.218595 | + | 0.975816i | \(0.570147\pi\) | |||||||
\(18\) | 2.58885 | + | 1.49467i | 0.610197 | + | 0.352297i | ||||
\(19\) | 4.52305 | − | 1.21195i | 1.03766 | − | 0.278040i | 0.300515 | − | 0.953777i | \(-0.402841\pi\) |
0.737142 | + | 0.675737i | \(0.236175\pi\) | |||||||
\(20\) | 1.82498 | + | 1.29208i | 0.408077 | + | 0.288917i | ||||
\(21\) | −0.197536 | + | 0.114047i | −0.0431058 | + | 0.0248872i | ||||
\(22\) | 1.87208 | − | 1.08084i | 0.399128 | − | 0.230437i | ||||
\(23\) | 9.14220 | 1.90628 | 0.953140 | − | 0.302529i | \(-0.0978310\pi\) | ||||
0.953140 | + | 0.302529i | \(0.0978310\pi\) | |||||||
\(24\) | 0.0267201 | + | 0.0997208i | 0.00545422 | + | 0.0203554i | ||||
\(25\) | −4.91473 | − | 0.919474i | −0.982946 | − | 0.183895i | ||||
\(26\) | 0.932867 | 0.182950 | ||||||||
\(27\) | −0.437226 | − | 0.437226i | −0.0841442 | − | 0.0841442i | ||||
\(28\) | 2.13411 | + | 0.571833i | 0.403309 | + | 0.108066i | ||||
\(29\) | −3.75539 | + | 3.75539i | −0.697358 | + | 0.697358i | −0.963840 | − | 0.266482i | \(-0.914139\pi\) |
0.266482 | + | 0.963840i | \(0.414139\pi\) | |||||||
\(30\) | −0.147464 | − | 0.177610i | −0.0269231 | − | 0.0324271i | ||||
\(31\) | 2.61073 | + | 2.61073i | 0.468901 | + | 0.468901i | 0.901558 | − | 0.432657i | \(-0.142424\pi\) |
−0.432657 | + | 0.901558i | \(0.642424\pi\) | |||||||
\(32\) | 0.500000 | − | 0.866025i | 0.0883883 | − | 0.153093i | ||||
\(33\) | −0.215565 | + | 0.0577605i | −0.0375251 | + | 0.0100548i | ||||
\(34\) | −4.83629 | − | 2.79223i | −0.829417 | − | 0.478864i | ||||
\(35\) | −4.86970 | + | 0.832537i | −0.823129 | + | 0.140724i | ||||
\(36\) | 2.98934i | 0.498224i | ||||||||
\(37\) | −5.95478 | + | 1.24118i | −0.978961 | + | 0.204049i | ||||
\(38\) | 3.31110 | + | 3.31110i | 0.537131 | + | 0.537131i | ||||
\(39\) | −0.0930262 | − | 0.0249263i | −0.0148961 | − | 0.00399140i | ||||
\(40\) | −0.206483 | + | 2.22651i | −0.0326478 | + | 0.352043i | ||||
\(41\) | 0.618232 | + | 0.356936i | 0.0965516 | + | 0.0557441i | 0.547498 | − | 0.836807i | \(-0.315580\pi\) |
−0.450947 | + | 0.892551i | \(0.648914\pi\) | |||||||
\(42\) | −0.197536 | − | 0.114047i | −0.0304804 | − | 0.0175979i | ||||
\(43\) | 1.79189 | 0.273260 | 0.136630 | − | 0.990622i | \(-0.456373\pi\) | ||||
0.136630 | + | 0.990622i | \(0.456373\pi\) | |||||||
\(44\) | 1.87208 | + | 1.08084i | 0.282226 | + | 0.162943i | ||||
\(45\) | −2.79335 | − | 6.07273i | −0.416409 | − | 0.905269i | ||||
\(46\) | 4.57110 | + | 7.91738i | 0.673972 | + | 1.16735i | ||||
\(47\) | −0.916690 | + | 0.916690i | −0.133713 | + | 0.133713i | −0.770796 | − | 0.637083i | \(-0.780141\pi\) |
0.637083 | + | 0.770796i | \(0.280141\pi\) | |||||||
\(48\) | −0.0730007 | + | 0.0730007i | −0.0105367 | + | 0.0105367i | ||||
\(49\) | 1.83475 | − | 1.05929i | 0.262107 | − | 0.151327i | ||||
\(50\) | −1.66108 | − | 4.71602i | −0.234912 | − | 0.666946i | ||||
\(51\) | 0.407670 | + | 0.407670i | 0.0570852 | + | 0.0570852i | ||||
\(52\) | 0.466433 | + | 0.807886i | 0.0646827 | + | 0.112034i | ||||
\(53\) | −0.460907 | + | 1.72013i | −0.0633105 | + | 0.236278i | −0.990329 | − | 0.138737i | \(-0.955696\pi\) |
0.927019 | + | 0.375015i | \(0.122362\pi\) | |||||||
\(54\) | 0.160036 | − | 0.597262i | 0.0217781 | − | 0.0812770i | ||||
\(55\) | −4.81303 | − | 0.446352i | −0.648989 | − | 0.0601861i | ||||
\(56\) | 0.571833 | + | 2.13411i | 0.0764144 | + | 0.285182i | ||||
\(57\) | −0.241713 | − | 0.418658i | −0.0320156 | − | 0.0554527i | ||||
\(58\) | −5.12996 | − | 1.37457i | −0.673596 | − | 0.180490i | ||||
\(59\) | 0.639839 | − | 2.38791i | 0.0832999 | − | 0.310880i | −0.911687 | − | 0.410886i | \(-0.865220\pi\) |
0.994987 | + | 0.100006i | \(0.0318862\pi\) | |||||||
\(60\) | 0.0800833 | − | 0.216512i | 0.0103387 | − | 0.0279516i | ||||
\(61\) | 6.94753 | − | 1.86158i | 0.889540 | − | 0.238351i | 0.215021 | − | 0.976609i | \(-0.431018\pi\) |
0.674518 | + | 0.738258i | \(0.264351\pi\) | |||||||
\(62\) | −0.955594 | + | 3.56633i | −0.121361 | + | 0.452924i | ||||
\(63\) | −4.67018 | − | 4.67018i | −0.588387 | − | 0.588387i | ||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | −1.70246 | − | 1.20534i | −0.211164 | − | 0.149503i | ||||
\(66\) | −0.157805 | − | 0.157805i | −0.0194244 | − | 0.0194244i | ||||
\(67\) | −8.38887 | + | 2.24779i | −1.02486 | + | 0.274612i | −0.731828 | − | 0.681490i | \(-0.761332\pi\) |
−0.293037 | + | 0.956101i | \(0.594666\pi\) | |||||||
\(68\) | − | 5.58447i | − | 0.677216i | ||||||
\(69\) | −0.244280 | − | 0.911667i | −0.0294079 | − | 0.109752i | ||||
\(70\) | −3.15585 | − | 3.80101i | −0.377196 | − | 0.454308i | ||||
\(71\) | −6.02963 | + | 10.4436i | −0.715586 | + | 1.23943i | 0.247147 | + | 0.968978i | \(0.420507\pi\) |
−0.962733 | + | 0.270453i | \(0.912826\pi\) | |||||||
\(72\) | −2.58885 | + | 1.49467i | −0.305098 | + | 0.176149i | ||||
\(73\) | −7.72337 | + | 7.72337i | −0.903952 | + | 0.903952i | −0.995775 | − | 0.0918231i | \(-0.970731\pi\) |
0.0918231 | + | 0.995775i | \(0.470731\pi\) | |||||||
\(74\) | −4.05229 | − | 4.53640i | −0.471069 | − | 0.527346i | ||||
\(75\) | 0.0396314 | + | 0.514669i | 0.00457624 | + | 0.0594289i | ||||
\(76\) | −1.21195 | + | 4.52305i | −0.139020 | + | 0.518829i | ||||
\(77\) | −4.61328 | + | 1.23612i | −0.525732 | + | 0.140870i | ||||
\(78\) | −0.0249263 | − | 0.0930262i | −0.00282235 | − | 0.0105331i | ||||
\(79\) | 12.3560 | − | 3.31077i | 1.39015 | − | 0.372491i | 0.515355 | − | 0.856977i | \(-0.327660\pi\) |
0.874799 | + | 0.484486i | \(0.160993\pi\) | |||||||
\(80\) | −2.03146 | + | 0.934438i | −0.227124 | + | 0.104473i | ||||
\(81\) | 4.45209 | − | 7.71125i | 0.494677 | − | 0.856806i | ||||
\(82\) | 0.713873i | 0.0788341i | ||||||||
\(83\) | 0.483220 | − | 1.80340i | 0.0530403 | − | 0.197949i | −0.934322 | − | 0.356431i | \(-0.883993\pi\) |
0.987362 | + | 0.158482i | \(0.0506600\pi\) | |||||||
\(84\) | − | 0.228095i | − | 0.0248872i | ||||||
\(85\) | 5.21834 | + | 11.3446i | 0.566008 | + | 1.23050i | ||||
\(86\) | 0.895944 | + | 1.55182i | 0.0966122 | + | 0.167337i | ||||
\(87\) | 0.474835 | + | 0.274146i | 0.0509076 | + | 0.0293915i | ||||
\(88\) | 2.16169i | 0.230437i | ||||||||
\(89\) | −5.35452 | − | 1.43474i | −0.567578 | − | 0.152082i | −0.0363922 | − | 0.999338i | \(-0.511587\pi\) |
−0.531185 | + | 0.847256i | \(0.678253\pi\) | |||||||
\(90\) | 3.86246 | − | 5.45548i | 0.407139 | − | 0.575058i | ||||
\(91\) | −1.99084 | − | 0.533444i | −0.208697 | − | 0.0559201i | ||||
\(92\) | −4.57110 | + | 7.91738i | −0.476570 | + | 0.825444i | ||||
\(93\) | 0.190585 | − | 0.330103i | 0.0197628 | − | 0.0342301i | ||||
\(94\) | −1.25222 | − | 0.335532i | −0.129157 | − | 0.0346075i | ||||
\(95\) | −1.76448 | − | 10.3209i | −0.181032 | − | 1.05890i | ||||
\(96\) | −0.0997208 | − | 0.0267201i | −0.0101777 | − | 0.00272711i | ||||
\(97\) | − | 13.2375i | − | 1.34407i | −0.740521 | − | 0.672034i | \(-0.765421\pi\) | ||
0.740521 | − | 0.672034i | \(-0.234579\pi\) | |||||||
\(98\) | 1.83475 | + | 1.05929i | 0.185337 | + | 0.107005i | ||||
\(99\) | −3.23101 | − | 5.59628i | −0.324729 | − | 0.562447i | ||||
\(100\) | 3.25365 | − | 3.79654i | 0.325365 | − | 0.379654i | ||||
\(101\) | 10.8961i | 1.08421i | 0.840312 | + | 0.542104i | \(0.182372\pi\) | ||||
−0.840312 | + | 0.542104i | \(0.817628\pi\) | |||||||
\(102\) | −0.149218 | + | 0.556888i | −0.0147747 | + | 0.0551401i | ||||
\(103\) | 12.6761i | 1.24902i | 0.781018 | + | 0.624508i | \(0.214701\pi\) | ||||
−0.781018 | + | 0.624508i | \(0.785299\pi\) | |||||||
\(104\) | −0.466433 | + | 0.807886i | −0.0457376 | + | 0.0792198i | ||||
\(105\) | 0.213140 | + | 0.463365i | 0.0208003 | + | 0.0452198i | ||||
\(106\) | −1.72013 | + | 0.460907i | −0.167074 | + | 0.0447673i | ||||
\(107\) | 1.32096 | + | 4.92988i | 0.127702 | + | 0.476589i | 0.999922 | − | 0.0125247i | \(-0.00398683\pi\) |
−0.872220 | + | 0.489114i | \(0.837320\pi\) | |||||||
\(108\) | 0.597262 | − | 0.160036i | 0.0574715 | − | 0.0153995i | ||||
\(109\) | −0.305100 | + | 1.13865i | −0.0292233 | + | 0.109063i | −0.978997 | − | 0.203875i | \(-0.934646\pi\) |
0.949774 | + | 0.312938i | \(0.101313\pi\) | |||||||
\(110\) | −2.01996 | − | 4.39138i | −0.192596 | − | 0.418702i | ||||
\(111\) | 0.282884 | + | 0.560651i | 0.0268502 | + | 0.0532147i | ||||
\(112\) | −1.56228 | + | 1.56228i | −0.147621 | + | 0.147621i | ||||
\(113\) | −11.9875 | + | 6.92097i | −1.12769 | + | 0.651070i | −0.943352 | − | 0.331794i | \(-0.892346\pi\) |
−0.184334 | + | 0.982864i | \(0.559013\pi\) | |||||||
\(114\) | 0.241713 | − | 0.418658i | 0.0226385 | − | 0.0392109i | ||||
\(115\) | 1.88771 | − | 20.3552i | 0.176030 | − | 1.89814i | ||||
\(116\) | −1.37457 | − | 5.12996i | −0.127625 | − | 0.476305i | ||||
\(117\) | − | 2.78866i | − | 0.257811i | ||||||
\(118\) | 2.38791 | − | 0.639839i | 0.219825 | − | 0.0589020i | ||||
\(119\) | 8.72449 | + | 8.72449i | 0.799772 | + | 0.799772i | ||||
\(120\) | 0.227547 | − | 0.0389020i | 0.0207721 | − | 0.00355125i | ||||
\(121\) | 6.32710 | 0.575191 | ||||||||
\(122\) | 5.08594 | + | 5.08594i | 0.460460 | + | 0.460460i | ||||
\(123\) | 0.0190748 | − | 0.0711880i | 0.00171991 | − | 0.00641880i | ||||
\(124\) | −3.56633 | + | 0.955594i | −0.320265 | + | 0.0858149i | ||||
\(125\) | −3.06203 | + | 10.7529i | −0.273876 | + | 0.961765i | ||||
\(126\) | 1.70940 | − | 6.37958i | 0.152286 | − | 0.568338i | ||||
\(127\) | 19.5349 | + | 5.23436i | 1.73344 | + | 0.464474i | 0.980971 | − | 0.194153i | \(-0.0621959\pi\) |
0.752469 | + | 0.658627i | \(0.228863\pi\) | |||||||
\(128\) | 0.500000 | + | 0.866025i | 0.0441942 | + | 0.0765466i | ||||
\(129\) | −0.0478795 | − | 0.178689i | −0.00421555 | − | 0.0157327i | ||||
\(130\) | 0.192621 | − | 2.07704i | 0.0168940 | − | 0.182169i | ||||
\(131\) | 3.58187 | − | 13.3677i | 0.312950 | − | 1.16794i | −0.612934 | − | 0.790134i | \(-0.710011\pi\) |
0.925883 | − | 0.377810i | \(-0.123323\pi\) | |||||||
\(132\) | 0.0577605 | − | 0.215565i | 0.00502741 | − | 0.0187625i | ||||
\(133\) | −5.17285 | − | 8.95965i | −0.448543 | − | 0.776900i | ||||
\(134\) | −6.14108 | − | 6.14108i | −0.530509 | − | 0.530509i | ||||
\(135\) | −1.06377 | + | 0.883210i | −0.0915547 | + | 0.0760146i | ||||
\(136\) | 4.83629 | − | 2.79223i | 0.414709 | − | 0.239432i | ||||
\(137\) | −7.86425 | + | 7.86425i | −0.671888 | + | 0.671888i | −0.958151 | − | 0.286263i | \(-0.907587\pi\) |
0.286263 | + | 0.958151i | \(0.407587\pi\) | |||||||
\(138\) | 0.667387 | − | 0.667387i | 0.0568117 | − | 0.0568117i | ||||
\(139\) | 0.315020 | + | 0.545631i | 0.0267197 | + | 0.0462798i | 0.879076 | − | 0.476682i | \(-0.158161\pi\) |
−0.852356 | + | 0.522961i | \(0.824827\pi\) | |||||||
\(140\) | 1.71385 | − | 4.63355i | 0.144847 | − | 0.391607i | ||||
\(141\) | 0.115907 | + | 0.0669190i | 0.00976114 | + | 0.00563560i | ||||
\(142\) | −12.0593 | −1.01199 | ||||||||
\(143\) | −1.74640 | − | 1.00828i | −0.146041 | − | 0.0843169i | ||||
\(144\) | −2.58885 | − | 1.49467i | −0.215737 | − | 0.124556i | ||||
\(145\) | 7.58600 | + | 9.13685i | 0.629983 | + | 0.758774i | ||||
\(146\) | −10.5503 | − | 2.82695i | −0.873151 | − | 0.233960i | ||||
\(147\) | −0.154658 | − | 0.154658i | −0.0127560 | − | 0.0127560i | ||||
\(148\) | 1.90250 | − | 5.77759i | 0.156384 | − | 0.474915i | ||||
\(149\) | 12.0604i | 0.988028i | 0.869454 | + | 0.494014i | \(0.164471\pi\) | ||||
−0.869454 | + | 0.494014i | \(0.835529\pi\) | |||||||
\(150\) | −0.425901 | + | 0.291656i | −0.0347747 | + | 0.0238136i | ||||
\(151\) | 11.9725 | + | 6.91232i | 0.974308 | + | 0.562517i | 0.900547 | − | 0.434759i | \(-0.143167\pi\) |
0.0737609 | + | 0.997276i | \(0.476500\pi\) | |||||||
\(152\) | −4.52305 | + | 1.21195i | −0.366867 | + | 0.0983018i | ||||
\(153\) | −8.34694 | + | 14.4573i | −0.674810 | + | 1.16881i | ||||
\(154\) | −3.37716 | − | 3.37716i | −0.272139 | − | 0.272139i | ||||
\(155\) | 6.35190 | − | 5.27376i | 0.510197 | − | 0.423598i | ||||
\(156\) | 0.0680999 | − | 0.0680999i | 0.00545236 | − | 0.00545236i | ||||
\(157\) | −13.4082 | − | 3.59272i | −1.07009 | − | 0.286731i | −0.319562 | − | 0.947565i | \(-0.603536\pi\) |
−0.750531 | + | 0.660835i | \(0.770202\pi\) | |||||||
\(158\) | 9.04519 | + | 9.04519i | 0.719597 | + | 0.719597i | ||||
\(159\) | 0.183848 | 0.0145801 | ||||||||
\(160\) | −1.82498 | − | 1.29208i | −0.144277 | − | 0.102148i | ||||
\(161\) | −5.22781 | − | 19.5105i | −0.412009 | − | 1.53764i | ||||
\(162\) | 8.90419 | 0.699579 | ||||||||
\(163\) | 8.36087 | − | 4.82715i | 0.654874 | − | 0.378092i | −0.135447 | − | 0.990785i | \(-0.543247\pi\) |
0.790321 | + | 0.612693i | \(0.209914\pi\) | |||||||
\(164\) | −0.618232 | + | 0.356936i | −0.0482758 | + | 0.0278721i | ||||
\(165\) | 0.0840941 | + | 0.491886i | 0.00654672 | + | 0.0382933i | ||||
\(166\) | 1.80340 | − | 0.483220i | 0.139971 | − | 0.0375052i | ||||
\(167\) | −9.85063 | − | 5.68727i | −0.762265 | − | 0.440094i | 0.0678435 | − | 0.997696i | \(-0.478388\pi\) |
−0.830108 | + | 0.557602i | \(0.811721\pi\) | |||||||
\(168\) | 0.197536 | − | 0.114047i | 0.0152402 | − | 0.00879894i | ||||
\(169\) | 6.06488 | + | 10.5047i | 0.466529 | + | 0.808052i | ||||
\(170\) | −7.21556 | + | 10.1915i | −0.553408 | + | 0.781654i | ||||
\(171\) | 9.89801 | − | 9.89801i | 0.756920 | − | 0.756920i | ||||
\(172\) | −0.895944 | + | 1.55182i | −0.0683151 | + | 0.118325i | ||||
\(173\) | 11.7935 | + | 3.16007i | 0.896647 | + | 0.240256i | 0.677576 | − | 0.735453i | \(-0.263031\pi\) |
0.219071 | + | 0.975709i | \(0.429697\pi\) | |||||||
\(174\) | 0.548292i | 0.0415659i | ||||||||
\(175\) | 0.848145 | + | 11.0144i | 0.0641137 | + | 0.832607i | ||||
\(176\) | −1.87208 | + | 1.08084i | −0.141113 | + | 0.0814717i | ||||
\(177\) | −0.255221 | −0.0191836 | ||||||||
\(178\) | −1.43474 | − | 5.35452i | −0.107538 | − | 0.401338i | ||||
\(179\) | 4.60327 | − | 4.60327i | 0.344065 | − | 0.344065i | −0.513828 | − | 0.857893i | \(-0.671773\pi\) |
0.857893 | + | 0.513828i | \(0.171773\pi\) | |||||||
\(180\) | 6.65581 | + | 0.617248i | 0.496095 | + | 0.0460070i | ||||
\(181\) | 11.8428 | − | 20.5123i | 0.880268 | − | 1.52467i | 0.0292251 | − | 0.999573i | \(-0.490696\pi\) |
0.851043 | − | 0.525096i | \(-0.175971\pi\) | |||||||
\(182\) | −0.533444 | − | 1.99084i | −0.0395415 | − | 0.147571i | ||||
\(183\) | −0.371277 | − | 0.643071i | −0.0274456 | − | 0.0475372i | ||||
\(184\) | −9.14220 | −0.673972 | ||||||||
\(185\) | 1.53395 | + | 13.5147i | 0.112778 | + | 0.993620i | ||||
\(186\) | 0.381170 | 0.0279488 | ||||||||
\(187\) | 6.03594 | + | 10.4546i | 0.441392 | + | 0.764513i | ||||
\(188\) | −0.335532 | − | 1.25222i | −0.0244712 | − | 0.0913277i | ||||
\(189\) | −0.683068 | + | 1.18311i | −0.0496859 | + | 0.0860585i | ||||
\(190\) | 8.05589 | − | 6.68852i | 0.584436 | − | 0.485236i | ||||
\(191\) | −15.7937 | + | 15.7937i | −1.14279 | + | 1.14279i | −0.154851 | + | 0.987938i | \(0.549490\pi\) |
−0.987938 | + | 0.154851i | \(0.950510\pi\) | |||||||
\(192\) | −0.0267201 | − | 0.0997208i | −0.00192836 | − | 0.00719673i | ||||
\(193\) | 18.0709 | 1.30077 | 0.650384 | − | 0.759605i | \(-0.274608\pi\) | ||||
0.650384 | + | 0.759605i | \(0.274608\pi\) | |||||||
\(194\) | 11.4640 | − | 6.61876i | 0.823070 | − | 0.475200i | ||||
\(195\) | −0.0747071 | + | 0.201977i | −0.00534988 | + | 0.0144639i | ||||
\(196\) | 2.11858i | 0.151327i | ||||||||
\(197\) | 18.0287 | + | 4.83077i | 1.28449 | + | 0.344178i | 0.835566 | − | 0.549391i | \(-0.185140\pi\) |
0.448926 | + | 0.893569i | \(0.351807\pi\) | |||||||
\(198\) | 3.23101 | − | 5.59628i | 0.229618 | − | 0.397710i | ||||
\(199\) | 1.40477 | − | 1.40477i | 0.0995816 | − | 0.0995816i | −0.655561 | − | 0.755142i | \(-0.727568\pi\) |
0.755142 | + | 0.655561i | \(0.227568\pi\) | |||||||
\(200\) | 4.91473 | + | 0.919474i | 0.347524 | + | 0.0650167i | ||||
\(201\) | 0.448303 | + | 0.776484i | 0.0316209 | + | 0.0547690i | ||||
\(202\) | −9.43634 | + | 5.44807i | −0.663939 | + | 0.383325i | ||||
\(203\) | 10.1619 | + | 5.86696i | 0.713223 | + | 0.411780i | ||||
\(204\) | −0.556888 | + | 0.149218i | −0.0389899 | + | 0.0104473i | ||||
\(205\) | 0.922378 | − | 1.30280i | 0.0644217 | − | 0.0909916i | ||||
\(206\) | −10.9779 | + | 6.33806i | −0.764863 | + | 0.441594i | ||||
\(207\) | 23.6677 | − | 13.6646i | 1.64502 | − | 0.949754i | ||||
\(208\) | −0.932867 | −0.0646827 | ||||||||
\(209\) | −2.61985 | − | 9.77742i | −0.181219 | − | 0.676318i | ||||
\(210\) | −0.294716 | + | 0.416267i | −0.0203373 | + | 0.0287252i | ||||
\(211\) | 16.2232 | 1.11685 | 0.558427 | − | 0.829554i | \(-0.311405\pi\) | ||||
0.558427 | + | 0.829554i | \(0.311405\pi\) | |||||||
\(212\) | −1.25922 | − | 1.25922i | −0.0864837 | − | 0.0864837i | ||||
\(213\) | 1.20256 | + | 0.322225i | 0.0823980 | + | 0.0220785i | ||||
\(214\) | −3.60892 | + | 3.60892i | −0.246701 | + | 0.246701i | ||||
\(215\) | 0.369995 | − | 3.98967i | 0.0252334 | − | 0.272093i | ||||
\(216\) | 0.437226 | + | 0.437226i | 0.0297495 | + | 0.0297495i | ||||
\(217\) | 4.07869 | − | 7.06449i | 0.276879 | − | 0.479569i | ||||
\(218\) | −1.13865 | + | 0.305100i | −0.0771190 | + | 0.0206640i | ||||
\(219\) | 0.976550 | + | 0.563811i | 0.0659891 | + | 0.0380988i | ||||
\(220\) | 2.79307 | − | 3.94503i | 0.188309 | − | 0.265974i | ||||
\(221\) | 5.20957i | 0.350433i | ||||||||
\(222\) | −0.344096 | + | 0.525311i | −0.0230942 | + | 0.0352565i | ||||
\(223\) | 3.11324 | + | 3.11324i | 0.208478 | + | 0.208478i | 0.803620 | − | 0.595142i | \(-0.202904\pi\) |
−0.595142 | + | 0.803620i | \(0.702904\pi\) | |||||||
\(224\) | −2.13411 | − | 0.571833i | −0.142591 | − | 0.0382072i | ||||
\(225\) | −14.0978 | + | 4.96553i | −0.939853 | + | 0.331035i | ||||
\(226\) | −11.9875 | − | 6.92097i | −0.797394 | − | 0.460376i | ||||
\(227\) | −18.5445 | − | 10.7067i | −1.23084 | − | 0.710627i | −0.263637 | − | 0.964622i | \(-0.584922\pi\) |
−0.967206 | + | 0.253995i | \(0.918255\pi\) | |||||||
\(228\) | 0.483425 | 0.0320156 | ||||||||
\(229\) | −13.3473 | − | 7.70608i | −0.882015 | − | 0.509232i | −0.0106930 | − | 0.999943i | \(-0.503404\pi\) |
−0.871322 | + | 0.490711i | \(0.836737\pi\) | |||||||
\(230\) | 18.5720 | − | 8.54281i | 1.22460 | − | 0.563296i | ||||
\(231\) | 0.246535 | + | 0.427011i | 0.0162208 | + | 0.0280952i | ||||
\(232\) | 3.75539 | − | 3.75539i | 0.246553 | − | 0.246553i | ||||
\(233\) | −5.57317 | + | 5.57317i | −0.365110 | + | 0.365110i | −0.865690 | − | 0.500580i | \(-0.833120\pi\) |
0.500580 | + | 0.865690i | \(0.333120\pi\) | |||||||
\(234\) | 2.41505 | − | 1.39433i | 0.157877 | − | 0.0911501i | ||||
\(235\) | 1.85174 | + | 2.23030i | 0.120794 | + | 0.145489i | ||||
\(236\) | 1.74807 | + | 1.74807i | 0.113790 | + | 0.113790i | ||||
\(237\) | −0.660305 | − | 1.14368i | −0.0428914 | − | 0.0742901i | ||||
\(238\) | −3.19338 | + | 11.9179i | −0.206996 | + | 0.772521i | ||||
\(239\) | −3.64592 | + | 13.6067i | −0.235835 | + | 0.880147i | 0.741936 | + | 0.670471i | \(0.233908\pi\) |
−0.977771 | + | 0.209677i | \(0.932759\pi\) | |||||||
\(240\) | 0.147464 | + | 0.177610i | 0.00951874 | + | 0.0114647i | ||||
\(241\) | 5.18360 | + | 19.3455i | 0.333905 | + | 1.24615i | 0.905051 | + | 0.425302i | \(0.139832\pi\) |
−0.571146 | + | 0.820848i | \(0.693501\pi\) | |||||||
\(242\) | 3.16355 | + | 5.47943i | 0.203361 | + | 0.352231i | ||||
\(243\) | −2.67972 | − | 0.718028i | −0.171904 | − | 0.0460615i | ||||
\(244\) | −1.86158 | + | 6.94753i | −0.119176 | + | 0.444770i | ||||
\(245\) | −1.97968 | − | 4.30381i | −0.126477 | − | 0.274961i | ||||
\(246\) | 0.0711880 | − | 0.0190748i | 0.00453878 | − | 0.00121616i | ||||
\(247\) | 1.13058 | − | 4.21940i | 0.0719374 | − | 0.268474i | ||||
\(248\) | −2.61073 | − | 2.61073i | −0.165782 | − | 0.165782i | ||||
\(249\) | −0.192748 | −0.0122149 | ||||||||
\(250\) | −10.8433 | + | 2.72463i | −0.685788 | + | 0.172321i | ||||
\(251\) | −21.0945 | − | 21.0945i | −1.33147 | − | 1.33147i | −0.904055 | − | 0.427415i | \(-0.859424\pi\) |
−0.427415 | − | 0.904055i | \(-0.640576\pi\) | |||||||
\(252\) | 6.37958 | − | 1.70940i | 0.401876 | − | 0.107682i | ||||
\(253\) | − | 19.7626i | − | 1.24246i | ||||||
\(254\) | 5.23436 | + | 19.5349i | 0.328433 | + | 1.22573i | ||||
\(255\) | 0.991860 | − | 0.823506i | 0.0621127 | − | 0.0515700i | ||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | −4.94342 | + | 2.85409i | −0.308362 | + | 0.178033i | −0.646193 | − | 0.763174i | \(-0.723640\pi\) |
0.337831 | + | 0.941207i | \(0.390307\pi\) | |||||||
\(258\) | 0.130809 | − | 0.130809i | 0.00814382 | − | 0.00814382i | ||||
\(259\) | 6.05397 | + | 11.9984i | 0.376175 | + | 0.745545i | ||||
\(260\) | 1.89508 | − | 0.871706i | 0.117528 | − | 0.0540609i | ||||
\(261\) | −4.10905 | + | 15.3352i | −0.254344 | + | 0.949225i | ||||
\(262\) | 13.3677 | − | 3.58187i | 0.825861 | − | 0.221289i | ||||
\(263\) | −3.94489 | − | 14.7225i | −0.243253 | − | 0.907831i | −0.974254 | − | 0.225455i | \(-0.927613\pi\) |
0.731001 | − | 0.682376i | \(-0.239053\pi\) | |||||||
\(264\) | 0.215565 | − | 0.0577605i | 0.0132671 | − | 0.00355492i | ||||
\(265\) | 3.73472 | + | 1.38139i | 0.229422 | + | 0.0848584i | ||||
\(266\) | 5.17285 | − | 8.95965i | 0.317168 | − | 0.549351i | ||||
\(267\) | 0.572293i | 0.0350238i | ||||||||
\(268\) | 2.24779 | − | 8.38887i | 0.137306 | − | 0.512432i | ||||
\(269\) | − | 19.0043i | − | 1.15871i | −0.815075 | − | 0.579356i | \(-0.803304\pi\) | ||
0.815075 | − | 0.579356i | \(-0.196696\pi\) | |||||||
\(270\) | −1.29677 | − | 0.479646i | −0.0789187 | − | 0.0291904i | ||||
\(271\) | −10.0387 | − | 17.3876i | −0.609809 | − | 1.05622i | −0.991272 | − | 0.131836i | \(-0.957913\pi\) |
0.381462 | − | 0.924384i | \(-0.375421\pi\) | |||||||
\(272\) | 4.83629 | + | 2.79223i | 0.293243 | + | 0.169304i | ||||
\(273\) | 0.212782i | 0.0128781i | ||||||||
\(274\) | −10.7428 | − | 2.87852i | −0.648994 | − | 0.173898i | ||||
\(275\) | −1.98762 | + | 10.6241i | −0.119858 | + | 0.640658i | ||||
\(276\) | 0.911667 | + | 0.244280i | 0.0548759 | + | 0.0147040i | ||||
\(277\) | 4.94567 | − | 8.56615i | 0.297156 | − | 0.514690i | −0.678328 | − | 0.734759i | \(-0.737295\pi\) |
0.975484 | + | 0.220069i | \(0.0706284\pi\) | |||||||
\(278\) | −0.315020 | + | 0.545631i | −0.0188937 | + | 0.0327248i | ||||
\(279\) | 10.6610 | + | 2.85660i | 0.638255 | + | 0.171020i | ||||
\(280\) | 4.86970 | − | 0.832537i | 0.291020 | − | 0.0497536i | ||||
\(281\) | 6.02311 | + | 1.61389i | 0.359309 | + | 0.0962765i | 0.433957 | − | 0.900933i | \(-0.357117\pi\) |
−0.0746485 | + | 0.997210i | \(0.523783\pi\) | |||||||
\(282\) | 0.133838i | 0.00796994i | ||||||||
\(283\) | 7.88244 | + | 4.55093i | 0.468563 | + | 0.270525i | 0.715638 | − | 0.698472i | \(-0.246136\pi\) |
−0.247075 | + | 0.968996i | \(0.579469\pi\) | |||||||
\(284\) | −6.02963 | − | 10.4436i | −0.357793 | − | 0.619716i | ||||
\(285\) | −0.982058 | + | 0.451730i | −0.0581721 | + | 0.0267582i | ||||
\(286\) | − | 2.01657i | − | 0.119242i | ||||||
\(287\) | 0.408216 | − | 1.52348i | 0.0240962 | − | 0.0899284i | ||||
\(288\) | − | 2.98934i | − | 0.176149i | ||||||
\(289\) | 7.09315 | − | 12.2857i | 0.417244 | − | 0.722688i | ||||
\(290\) | −4.11974 | + | 11.1381i | −0.241920 | + | 0.654052i | ||||
\(291\) | −1.32006 | + | 0.353708i | −0.0773831 | + | 0.0207347i | ||||
\(292\) | −2.82695 | − | 10.5503i | −0.165435 | − | 0.617411i | ||||
\(293\) | −23.1383 | + | 6.19988i | −1.35175 | + | 0.362201i | −0.860781 | − | 0.508975i | \(-0.830025\pi\) |
−0.490971 | + | 0.871176i | \(0.663358\pi\) | |||||||
\(294\) | 0.0566087 | − | 0.211267i | 0.00330149 | − | 0.0123213i | ||||
\(295\) | −5.18460 | − | 1.91767i | −0.301859 | − | 0.111651i | ||||
\(296\) | 5.95478 | − | 1.24118i | 0.346115 | − | 0.0721424i | ||||
\(297\) | −0.945147 | + | 0.945147i | −0.0548430 | + | 0.0548430i | ||||
\(298\) | −10.4446 | + | 6.03021i | −0.605041 | + | 0.349321i | ||||
\(299\) | 4.26423 | − | 7.38586i | 0.246607 | − | 0.427135i | ||||
\(300\) | −0.465532 | − | 0.223013i | −0.0268775 | − | 0.0128756i | ||||
\(301\) | −1.02466 | − | 3.82409i | −0.0590605 | − | 0.220417i | ||||
\(302\) | 13.8246i | 0.795519i | ||||||||
\(303\) | 1.08657 | − | 0.291146i | 0.0624220 | − | 0.0167259i | ||||
\(304\) | −3.31110 | − | 3.31110i | −0.189905 | − | 0.189905i | ||||
\(305\) | −2.71030 | − | 15.8532i | −0.155191 | − | 0.907749i | ||||
\(306\) | −16.6939 | −0.954326 | ||||||||
\(307\) | −5.13771 | − | 5.13771i | −0.293224 | − | 0.293224i | 0.545128 | − | 0.838353i | \(-0.316481\pi\) |
−0.838353 | + | 0.545128i | \(0.816481\pi\) | |||||||
\(308\) | 1.23612 | − | 4.61328i | 0.0704348 | − | 0.262866i | ||||
\(309\) | 1.26407 | − | 0.338707i | 0.0719106 | − | 0.0192684i | ||||
\(310\) | 7.74316 | + | 2.86403i | 0.439782 | + | 0.162666i | ||||
\(311\) | −2.14138 | + | 7.99173i | −0.121426 | + | 0.453169i | −0.999687 | − | 0.0250127i | \(-0.992037\pi\) |
0.878261 | + | 0.478182i | \(0.158704\pi\) | |||||||
\(312\) | 0.0930262 | + | 0.0249263i | 0.00526657 | + | 0.00141117i | ||||
\(313\) | −15.5337 | − | 26.9052i | −0.878017 | − | 1.52077i | −0.853514 | − | 0.521070i | \(-0.825533\pi\) |
−0.0245033 | − | 0.999700i | \(-0.507800\pi\) | |||||||
\(314\) | −3.59272 | − | 13.4082i | −0.202749 | − | 0.756670i | ||||
\(315\) | −11.3625 | + | 9.43391i | −0.640206 | + | 0.531540i | ||||
\(316\) | −3.31077 | + | 12.3560i | −0.186245 | + | 0.695077i | ||||
\(317\) | −3.12372 | + | 11.6579i | −0.175445 | + | 0.654771i | 0.821030 | + | 0.570885i | \(0.193400\pi\) |
−0.996475 | + | 0.0838862i | \(0.973267\pi\) | |||||||
\(318\) | 0.0919241 | + | 0.159217i | 0.00515485 | + | 0.00892846i | ||||
\(319\) | 8.11798 | + | 8.11798i | 0.454520 | + | 0.454520i | ||||
\(320\) | 0.206483 | − | 2.22651i | 0.0115427 | − | 0.124466i | ||||
\(321\) | 0.456315 | − | 0.263454i | 0.0254690 | − | 0.0147046i | ||||
\(322\) | 14.2826 | − | 14.2826i | 0.795941 | − | 0.795941i | ||||
\(323\) | −18.4907 | + | 18.4907i | −1.02885 | + | 1.02885i | ||||
\(324\) | 4.45209 | + | 7.71125i | 0.247339 | + | 0.428403i | ||||
\(325\) | −3.03522 | + | 3.54167i | −0.168364 | + | 0.196456i | ||||
\(326\) | 8.36087 | + | 4.82715i | 0.463066 | + | 0.267351i | ||||
\(327\) | 0.121699 | 0.00672998 | ||||||||
\(328\) | −0.618232 | − | 0.356936i | −0.0341362 | − | 0.0197085i | ||||
\(329\) | 2.48051 | + | 1.43212i | 0.136755 | + | 0.0789555i | ||||
\(330\) | −0.383938 | + | 0.318770i | −0.0211351 | + | 0.0175477i | ||||
\(331\) | −25.4114 | − | 6.80897i | −1.39674 | − | 0.374255i | −0.519565 | − | 0.854431i | \(-0.673906\pi\) |
−0.877172 | + | 0.480176i | \(0.840573\pi\) | |||||||
\(332\) | 1.32018 | + | 1.32018i | 0.0724544 | + | 0.0724544i | ||||
\(333\) | −13.5609 | + | 12.1137i | −0.743130 | + | 0.663826i | ||||
\(334\) | − | 11.3745i | − | 0.622387i | ||||||
\(335\) | 3.27258 | + | 19.1421i | 0.178800 | + | 1.04584i | ||||
\(336\) | 0.197536 | + | 0.114047i | 0.0107765 | + | 0.00622179i | ||||
\(337\) | −5.83517 | + | 1.56353i | −0.317862 | + | 0.0851709i | −0.414223 | − | 0.910176i | \(-0.635947\pi\) |
0.0963604 | + | 0.995347i | \(0.469280\pi\) | |||||||
\(338\) | −6.06488 | + | 10.5047i | −0.329886 | + | 0.571379i | ||||
\(339\) | 1.01047 | + | 1.01047i | 0.0548812 | + | 0.0548812i | ||||
\(340\) | −12.4339 | − | 1.15310i | −0.674323 | − | 0.0625355i | ||||
\(341\) | 5.64359 | − | 5.64359i | 0.305617 | − | 0.305617i | ||||
\(342\) | 13.5209 | + | 3.62292i | 0.731128 | + | 0.195905i | ||||
\(343\) | −14.2457 | − | 14.2457i | −0.769198 | − | 0.769198i | ||||
\(344\) | −1.79189 | −0.0966122 | ||||||||
\(345\) | −2.08028 | + | 0.355650i | −0.111998 | + | 0.0191476i | ||||
\(346\) | 3.16007 | + | 11.7935i | 0.169887 | + | 0.634025i | ||||
\(347\) | 10.5674 | 0.567287 | 0.283643 | − | 0.958930i | \(-0.408457\pi\) | ||||
0.283643 | + | 0.958930i | \(0.408457\pi\) | |||||||
\(348\) | −0.474835 | + | 0.274146i | −0.0254538 | + | 0.0146958i | ||||
\(349\) | −21.8768 | + | 12.6306i | −1.17104 | + | 0.676099i | −0.953924 | − | 0.300047i | \(-0.902998\pi\) |
−0.217114 | + | 0.976146i | \(0.569664\pi\) | |||||||
\(350\) | −9.11464 | + | 6.24169i | −0.487198 | + | 0.333633i | ||||
\(351\) | −0.557166 | + | 0.149292i | −0.0297393 | + | 0.00796862i | ||||
\(352\) | −1.87208 | − | 1.08084i | −0.0997821 | − | 0.0576092i | ||||
\(353\) | 8.58914 | − | 4.95894i | 0.457154 | − | 0.263938i | −0.253693 | − | 0.967285i | \(-0.581645\pi\) |
0.710847 | + | 0.703347i | \(0.248312\pi\) | |||||||
\(354\) | −0.127610 | − | 0.221028i | −0.00678242 | − | 0.0117475i | ||||
\(355\) | 22.0079 | + | 15.5815i | 1.16806 | + | 0.826980i | ||||
\(356\) | 3.91978 | − | 3.91978i | 0.207748 | − | 0.207748i | ||||
\(357\) | 0.636894 | − | 1.10313i | 0.0337080 | − | 0.0583839i | ||||
\(358\) | 6.28819 | + | 1.68491i | 0.332341 | + | 0.0890505i | ||||
\(359\) | 15.2529i | 0.805019i | 0.915416 | + | 0.402510i | \(0.131862\pi\) | ||||
−0.915416 | + | 0.402510i | \(0.868138\pi\) | |||||||
\(360\) | 2.79335 | + | 6.07273i | 0.147223 | + | 0.320061i | ||||
\(361\) | 2.53465 | − | 1.46338i | 0.133402 | − | 0.0770199i | ||||
\(362\) | 23.6856 | 1.24489 | ||||||||
\(363\) | −0.169061 | − | 0.630944i | −0.00887339 | − | 0.0331160i | ||||
\(364\) | 1.45740 | − | 1.45740i | 0.0763883 | − | 0.0763883i | ||||
\(365\) | 15.6014 | + | 18.7909i | 0.816617 | + | 0.983563i | ||||
\(366\) | 0.371277 | − | 0.643071i | 0.0194070 | − | 0.0336139i | ||||
\(367\) | −1.52765 | − | 5.70127i | −0.0797427 | − | 0.297604i | 0.914524 | − | 0.404531i | \(-0.132565\pi\) |
−0.994267 | + | 0.106928i | \(0.965899\pi\) | |||||||
\(368\) | −4.57110 | − | 7.91738i | −0.238285 | − | 0.412722i | ||||
\(369\) | 2.13401 | 0.111092 | ||||||||
\(370\) | −10.9371 | + | 8.08579i | −0.568592 | + | 0.420360i | ||||
\(371\) | 3.93451 | 0.204269 | ||||||||
\(372\) | 0.190585 | + | 0.330103i | 0.00988138 | + | 0.0171151i | ||||
\(373\) | −2.08177 | − | 7.76928i | −0.107790 | − | 0.402278i | 0.890857 | − | 0.454284i | \(-0.150105\pi\) |
−0.998647 | + | 0.0520065i | \(0.983438\pi\) | |||||||
\(374\) | −6.03594 | + | 10.4546i | −0.312111 | + | 0.540592i | ||||
\(375\) | 1.15410 | + | 0.0180306i | 0.0595975 | + | 0.000931097i | ||||
\(376\) | 0.916690 | − | 0.916690i | 0.0472747 | − | 0.0472747i | ||||
\(377\) | 1.28229 | + | 4.78557i | 0.0660412 | + | 0.246469i | ||||
\(378\) | −1.36614 | −0.0702665 | ||||||||
\(379\) | −21.9353 | + | 12.6643i | −1.12674 | + | 0.650524i | −0.943113 | − | 0.332472i | \(-0.892117\pi\) |
−0.183627 | + | 0.982996i | \(0.558784\pi\) | |||||||
\(380\) | 9.82038 | + | 3.63235i | 0.503775 | + | 0.186336i | ||||
\(381\) | − | 2.08790i | − | 0.106966i | ||||||
\(382\) | −21.5745 | − | 5.78088i | −1.10385 | − | 0.295775i | ||||
\(383\) | −2.85241 | + | 4.94052i | −0.145751 | + | 0.252449i | −0.929653 | − | 0.368436i | \(-0.879893\pi\) |
0.783902 | + | 0.620885i | \(0.213227\pi\) | |||||||
\(384\) | 0.0730007 | − | 0.0730007i | 0.00372530 | − | 0.00372530i | ||||
\(385\) | 1.79969 | + | 10.5268i | 0.0917205 | + | 0.536494i | ||||
\(386\) | 9.03543 | + | 15.6498i | 0.459891 | + | 0.796555i | ||||
\(387\) | 4.63892 | − | 2.67828i | 0.235810 | − | 0.136145i | ||||
\(388\) | 11.4640 | + | 6.61876i | 0.581998 | + | 0.336017i | ||||
\(389\) | 3.86573 | − | 1.03582i | 0.196000 | − | 0.0525181i | −0.159483 | − | 0.987201i | \(-0.550983\pi\) |
0.355484 | + | 0.934683i | \(0.384316\pi\) | |||||||
\(390\) | −0.212271 | + | 0.0362904i | −0.0107488 | + | 0.00183764i | ||||
\(391\) | −44.2143 | + | 25.5272i | −2.23602 | + | 1.29096i | ||||
\(392\) | −1.83475 | + | 1.05929i | −0.0926687 | + | 0.0535023i | ||||
\(393\) | −1.42875 | −0.0720708 | ||||||||
\(394\) | 4.83077 | + | 18.0287i | 0.243371 | + | 0.908273i | ||||
\(395\) | −4.82018 | − | 28.1943i | −0.242530 | − | 1.41861i | ||||
\(396\) | 6.46203 | 0.324729 | ||||||||
\(397\) | 10.0898 | + | 10.0898i | 0.506393 | + | 0.506393i | 0.913417 | − | 0.407024i | \(-0.133434\pi\) |
−0.407024 | + | 0.913417i | \(0.633434\pi\) | |||||||
\(398\) | 1.91895 | + | 0.514182i | 0.0961884 | + | 0.0257736i | ||||
\(399\) | −0.755244 | + | 0.755244i | −0.0378095 | + | 0.0378095i | ||||
\(400\) | 1.66108 | + | 4.71602i | 0.0830538 | + | 0.235801i | ||||
\(401\) | −9.90660 | − | 9.90660i | −0.494712 | − | 0.494712i | 0.415075 | − | 0.909787i | \(-0.363755\pi\) |
−0.909787 | + | 0.415075i | \(0.863755\pi\) | |||||||
\(402\) | −0.448303 | + | 0.776484i | −0.0223593 | + | 0.0387275i | ||||
\(403\) | 3.32691 | − | 0.891442i | 0.165725 | − | 0.0444059i | ||||
\(404\) | −9.43634 | − | 5.44807i | −0.469476 | − | 0.271052i | ||||
\(405\) | −16.2499 | − | 11.5049i | −0.807466 | − | 0.571683i | ||||
\(406\) | 11.7339i | 0.582344i | ||||||||
\(407\) | 2.68305 | + | 12.8724i | 0.132994 | + | 0.638061i | ||||
\(408\) | −0.407670 | − | 0.407670i | −0.0201827 | − | 0.0201827i | ||||
\(409\) | −25.3152 | − | 6.78318i | −1.25176 | − | 0.335407i | −0.428741 | − | 0.903427i | \(-0.641043\pi\) |
−0.823014 | + | 0.568021i | \(0.807709\pi\) | |||||||
\(410\) | 1.58945 | + | 0.147403i | 0.0784972 | + | 0.00727970i | ||||
\(411\) | 0.994363 | + | 0.574096i | 0.0490483 | + | 0.0283181i | ||||
\(412\) | −10.9779 | − | 6.33806i | −0.540840 | − | 0.312254i | ||||
\(413\) | −5.46195 | −0.268765 | ||||||||
\(414\) | 23.6677 | + | 13.6646i | 1.16321 | + | 0.671577i | ||||
\(415\) | −3.91552 | − | 1.44827i | −0.192206 | − | 0.0710927i | ||||
\(416\) | −0.466433 | − | 0.807886i | −0.0228688 | − | 0.0396099i | ||||
\(417\) | 0.0459934 | − | 0.0459934i | 0.00225231 | − | 0.00225231i | ||||
\(418\) | 7.15757 | − | 7.15757i | 0.350088 | − | 0.350088i | ||||
\(419\) | −4.98984 | + | 2.88089i | −0.243770 | + | 0.140741i | −0.616908 | − | 0.787035i | \(-0.711615\pi\) |
0.373138 | + | 0.927776i | \(0.378282\pi\) | |||||||
\(420\) | −0.507856 | − | 0.0470976i | −0.0247808 | − | 0.00229813i | ||||
\(421\) | −22.0327 | − | 22.0327i | −1.07381 | − | 1.07381i | −0.997050 | − | 0.0767578i | \(-0.975543\pi\) |
−0.0767578 | − | 0.997050i | \(-0.524457\pi\) | |||||||
\(422\) | 8.11162 | + | 14.0497i | 0.394867 | + | 0.683931i | ||||
\(423\) | −1.00302 | + | 3.74332i | −0.0487685 | + | 0.182006i | ||||
\(424\) | 0.460907 | − | 1.72013i | 0.0223836 | − | 0.0835369i | ||||
\(425\) | 26.3365 | − | 9.27623i | 1.27751 | − | 0.449963i | ||||
\(426\) | 0.322225 | + | 1.20256i | 0.0156118 | + | 0.0582642i | ||||
\(427\) | −7.94565 | − | 13.7623i | −0.384517 | − | 0.666003i | ||||
\(428\) | −4.92988 | − | 1.32096i | −0.238295 | − | 0.0638509i | ||||
\(429\) | −0.0538829 | + | 0.201094i | −0.00260149 | + | 0.00970889i | ||||
\(430\) | 3.64015 | − | 1.67441i | 0.175544 | − | 0.0807471i | ||||
\(431\) | 2.42703 | − | 0.650322i | 0.116906 | − | 0.0313249i | −0.199892 | − | 0.979818i | \(-0.564059\pi\) |
0.316798 | + | 0.948493i | \(0.397392\pi\) | |||||||
\(432\) | −0.160036 | + | 0.597262i | −0.00769973 | + | 0.0287358i | ||||
\(433\) | 14.2760 | + | 14.2760i | 0.686059 | + | 0.686059i | 0.961359 | − | 0.275299i | \(-0.0887769\pi\) |
−0.275299 | + | 0.961359i | \(0.588777\pi\) | |||||||
\(434\) | 8.15737 | 0.391566 | ||||||||
\(435\) | 0.708435 | − | 1.00062i | 0.0339669 | − | 0.0479760i | ||||
\(436\) | −0.833549 | − | 0.833549i | −0.0399197 | − | 0.0399197i | ||||
\(437\) | 41.3506 | − | 11.0799i | 1.97807 | − | 0.530021i | ||||
\(438\) | 1.12762i | 0.0538799i | ||||||||
\(439\) | 2.25626 | + | 8.42047i | 0.107685 | + | 0.401887i | 0.998636 | − | 0.0522130i | \(-0.0166275\pi\) |
−0.890951 | + | 0.454100i | \(0.849961\pi\) | |||||||
\(440\) | 4.81303 | + | 0.446352i | 0.229452 | + | 0.0212790i | ||||
\(441\) | 3.16658 | − | 5.48468i | 0.150790 | − | 0.261175i | ||||
\(442\) | −4.51162 | + | 2.60478i | −0.214596 | + | 0.123897i | ||||
\(443\) | 17.0281 | − | 17.0281i | 0.809027 | − | 0.809027i | −0.175459 | − | 0.984487i | \(-0.556141\pi\) |
0.984487 | + | 0.175459i | \(0.0561410\pi\) | |||||||
\(444\) | −0.626980 | − | 0.0353406i | −0.0297552 | − | 0.00167719i | ||||
\(445\) | −4.30008 | + | 11.6257i | −0.203843 | + | 0.551109i | ||||
\(446\) | −1.13953 | + | 4.25277i | −0.0539581 | + | 0.201374i | ||||
\(447\) | 1.20267 | − | 0.322256i | 0.0568846 | − | 0.0152422i | ||||
\(448\) | −0.571833 | − | 2.13411i | −0.0270166 | − | 0.100827i | ||||
\(449\) | 0.766242 | − | 0.205314i | 0.0361612 | − | 0.00968937i | −0.240693 | − | 0.970601i | \(-0.577375\pi\) |
0.276854 | + | 0.960912i | \(0.410708\pi\) | |||||||
\(450\) | −11.3492 | − | 9.72628i | −0.535005 | − | 0.458501i | ||||
\(451\) | 0.771586 | − | 1.33643i | 0.0363325 | − | 0.0629298i | ||||
\(452\) | − | 13.8419i | − | 0.651070i | ||||||
\(453\) | 0.369396 | − | 1.37860i | 0.0173557 | − | 0.0647725i | ||||
\(454\) | − | 21.4134i | − | 1.00498i | ||||||
\(455\) | −1.59879 | + | 4.32249i | −0.0749527 | + | 0.202641i | ||||
\(456\) | 0.241713 | + | 0.418658i | 0.0113192 | + | 0.0196055i | ||||
\(457\) | −24.6177 | − | 14.2130i | −1.15157 | − | 0.664857i | −0.202297 | − | 0.979324i | \(-0.564841\pi\) |
−0.949268 | + | 0.314468i | \(0.898174\pi\) | |||||||
\(458\) | − | 15.4122i | − | 0.720163i | ||||||
\(459\) | 3.33539 | + | 0.893715i | 0.155683 | + | 0.0417151i | ||||
\(460\) | 16.6843 | + | 11.8124i | 0.777909 | + | 0.550757i | ||||
\(461\) | −9.17243 | − | 2.45774i | −0.427203 | − | 0.114469i | 0.0388102 | − | 0.999247i | \(-0.487643\pi\) |
−0.466013 | + | 0.884778i | \(0.654310\pi\) | |||||||
\(462\) | −0.246535 | + | 0.427011i | −0.0114698 | + | 0.0198663i | ||||
\(463\) | 6.89518 | − | 11.9428i | 0.320446 | − | 0.555029i | −0.660134 | − | 0.751148i | \(-0.729501\pi\) |
0.980580 | + | 0.196119i | \(0.0628339\pi\) | |||||||
\(464\) | 5.12996 | + | 1.37457i | 0.238152 | + | 0.0638127i | ||||
\(465\) | −0.695627 | − | 0.492501i | −0.0322589 | − | 0.0228392i | ||||
\(466\) | −7.61309 | − | 2.03992i | −0.352670 | − | 0.0944975i | ||||
\(467\) | − | 37.7134i | − | 1.74517i | −0.488466 | − | 0.872583i | \(-0.662443\pi\) | ||
0.488466 | − | 0.872583i | \(-0.337557\pi\) | |||||||
\(468\) | 2.41505 | + | 1.39433i | 0.111636 | + | 0.0644529i | ||||
\(469\) | 9.59407 | + | 16.6174i | 0.443013 | + | 0.767321i | ||||
\(470\) | −1.00563 | + | 2.71881i | −0.0463862 | + | 0.125409i | ||||
\(471\) | 1.43308i | 0.0660327i | ||||||||
\(472\) | −0.639839 | + | 2.38791i | −0.0294510 | + | 0.109913i | ||||
\(473\) | − | 3.87351i | − | 0.178104i | ||||||
\(474\) | 0.660305 | − | 1.14368i | 0.0303288 | − | 0.0525311i | ||||
\(475\) | −23.3439 | + | 1.79756i | −1.07109 | + | 0.0824779i | ||||
\(476\) | −11.9179 | + | 3.19338i | −0.546255 | + | 0.146369i | ||||
\(477\) | 1.37781 | + | 5.14206i | 0.0630856 | + | 0.235439i | ||||
\(478\) | −13.6067 | + | 3.64592i | −0.622358 | + | 0.166760i | ||||
\(479\) | −0.942768 | + | 3.51846i | −0.0430761 | + | 0.160762i | −0.984114 | − | 0.177540i | \(-0.943186\pi\) |
0.941037 | + | 0.338303i | \(0.109853\pi\) | |||||||
\(480\) | −0.0800833 | + | 0.216512i | −0.00365529 | + | 0.00988240i | ||||
\(481\) | −1.77477 | + | 5.38972i | −0.0809227 | + | 0.245750i | ||||
\(482\) | −14.1619 | + | 14.1619i | −0.645055 | + | 0.645055i | ||||
\(483\) | −1.80591 | + | 1.04264i | −0.0821718 | + | 0.0474419i | ||||
\(484\) | −3.16355 | + | 5.47943i | −0.143798 | + | 0.249065i | ||||
\(485\) | −29.4735 | − | 2.73332i | −1.33832 | − | 0.124114i | ||||
\(486\) | −0.718028 | − | 2.67972i | −0.0325704 | − | 0.121554i | ||||
\(487\) | − | 1.17023i | − | 0.0530284i | −0.999648 | − | 0.0265142i | \(-0.991559\pi\) | ||
0.999648 | − | 0.0265142i | \(-0.00844071\pi\) | |||||||
\(488\) | −6.94753 | + | 1.86158i | −0.314500 | + | 0.0842700i | ||||
\(489\) | −0.704771 | − | 0.704771i | −0.0318708 | − | 0.0318708i | ||||
\(490\) | 2.73737 | − | 3.86636i | 0.123662 | − | 0.174664i | ||||
\(491\) | −17.8819 | −0.807001 | −0.403500 | − | 0.914979i | \(-0.632207\pi\) | ||||
−0.403500 | + | 0.914979i | \(0.632207\pi\) | |||||||
\(492\) | 0.0521132 | + | 0.0521132i | 0.00234945 | + | 0.00234945i | ||||
\(493\) | 7.67623 | − | 28.6481i | 0.345720 | − | 1.29025i | ||||
\(494\) | 4.21940 | − | 1.13058i | 0.189840 | − | 0.0508674i | ||||
\(495\) | −13.1273 | + | 6.03836i | −0.590030 | + | 0.271404i | ||||
\(496\) | 0.955594 | − | 3.56633i | 0.0429074 | − | 0.160133i | ||||
\(497\) | 25.7358 | + | 6.89589i | 1.15441 | + | 0.309323i | ||||
\(498\) | −0.0963742 | − | 0.166925i | −0.00431863 | − | 0.00748009i | ||||
\(499\) | −1.44413 | − | 5.38957i | −0.0646482 | − | 0.241270i | 0.926039 | − | 0.377428i | \(-0.123191\pi\) |
−0.990687 | + | 0.136158i | \(0.956525\pi\) | |||||||
\(500\) | −7.78123 | − | 8.02823i | −0.347987 | − | 0.359033i | ||||
\(501\) | −0.303929 | + | 1.13428i | −0.0135785 | + | 0.0506758i | ||||
\(502\) | 7.72111 | − | 28.8156i | 0.344610 | − | 1.28610i | ||||
\(503\) | 4.36133 | + | 7.55404i | 0.194462 | + | 0.336818i | 0.946724 | − | 0.322046i | \(-0.104371\pi\) |
−0.752262 | + | 0.658864i | \(0.771037\pi\) | |||||||
\(504\) | 4.67018 | + | 4.67018i | 0.208026 | + | 0.208026i | ||||
\(505\) | 24.2604 | + | 2.24987i | 1.07957 | + | 0.100118i | ||||
\(506\) | 17.1149 | − | 9.88129i | 0.760850 | − | 0.439277i | ||||
\(507\) | 0.885481 | − | 0.885481i | 0.0393256 | − | 0.0393256i | ||||
\(508\) | −14.3005 | + | 14.3005i | −0.634483 | + | 0.634483i | ||||
\(509\) | −7.64937 | − | 13.2491i | −0.339052 | − | 0.587256i | 0.645202 | − | 0.764012i | \(-0.276773\pi\) |
−0.984255 | + | 0.176756i | \(0.943440\pi\) | |||||||
\(510\) | 1.20911 | + | 0.447223i | 0.0535402 | + | 0.0198034i | ||||
\(511\) | 20.8990 | + | 12.0660i | 0.924517 | + | 0.533770i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | −2.50749 | − | 1.44770i | −0.110708 | − | 0.0639175i | ||||
\(514\) | −4.94342 | − | 2.85409i | −0.218045 | − | 0.125888i | ||||
\(515\) | 28.2236 | + | 2.61740i | 1.24368 | + | 0.115337i | ||||
\(516\) | 0.178689 | + | 0.0478795i | 0.00786633 | + | 0.00210778i | ||||
\(517\) | 1.98160 | + | 1.98160i | 0.0871506 | + | 0.0871506i | ||||
\(518\) | −7.36395 | + | 11.2421i | −0.323553 | + | 0.493949i | ||||
\(519\) | − | 1.26050i | − | 0.0553298i | ||||||
\(520\) | 1.70246 | + | 1.20534i | 0.0746578 | + | 0.0528574i | ||||
\(521\) | 36.6921 | + | 21.1842i | 1.60751 | + | 0.928097i | 0.989925 | + | 0.141593i | \(0.0452224\pi\) |
0.617585 | + | 0.786504i | \(0.288111\pi\) | |||||||
\(522\) | −15.3352 | + | 4.10905i | −0.671203 | + | 0.179848i | ||||
\(523\) | 18.9503 | − | 32.8229i | 0.828640 | − | 1.43525i | −0.0704660 | − | 0.997514i | \(-0.522449\pi\) |
0.899106 | − | 0.437732i | \(-0.144218\pi\) | |||||||
\(524\) | 9.78586 | + | 9.78586i | 0.427497 | + | 0.427497i | ||||
\(525\) | 1.07570 | − | 0.378882i | 0.0469473 | − | 0.0165358i | ||||
\(526\) | 10.7776 | − | 10.7776i | 0.469928 | − | 0.469928i | ||||
\(527\) | −19.9160 | − | 5.33649i | −0.867556 | − | 0.232461i | ||||
\(528\) | 0.157805 | + | 0.157805i | 0.00686757 | + | 0.00686757i | ||||
\(529\) | 60.5798 | 2.63390 | ||||||||
\(530\) | 0.671039 | + | 3.92506i | 0.0291481 | + | 0.170494i | ||||
\(531\) | −1.91270 | − | 7.13828i | −0.0830040 | − | 0.309775i | ||||
\(532\) | 10.3457 | 0.448543 | ||||||||
\(533\) | 0.576728 | − | 0.332974i | 0.0249809 | − | 0.0144227i | ||||
\(534\) | −0.495620 | + | 0.286146i | −0.0214476 | + | 0.0123828i | ||||
\(535\) | 11.2492 | − | 1.92319i | 0.486345 | − | 0.0831469i | ||||
\(536\) | 8.38887 | − | 2.24779i | 0.362344 | − | 0.0970898i | ||||
\(537\) | −0.582042 | − | 0.336042i | −0.0251170 | − | 0.0145013i | ||||
\(538\) | 16.4582 | − | 9.50215i | 0.709563 | − | 0.409667i | ||||
\(539\) | −2.28986 | − | 3.96615i | −0.0986311 | − | 0.170834i | ||||
\(540\) | −0.232998 | − | 1.36286i | −0.0100266 | − | 0.0586480i | ||||
\(541\) | 14.5675 | − | 14.5675i | 0.626305 | − | 0.626305i | −0.320832 | − | 0.947136i | \(-0.603962\pi\) |
0.947136 | + | 0.320832i | \(0.103962\pi\) | |||||||
\(542\) | 10.0387 | − | 17.3876i | 0.431200 | − | 0.746861i | ||||
\(543\) | −2.36195 | − | 0.632881i | −0.101361 | − | 0.0271595i | ||||
\(544\) | 5.58447i | 0.239432i | ||||||||
\(545\) | 2.47222 | + | 0.914421i | 0.105898 | + | 0.0391695i | ||||
\(546\) | −0.184274 | + | 0.106391i | −0.00788622 | + | 0.00455311i | ||||
\(547\) | −4.94178 | −0.211295 | −0.105648 | − | 0.994404i | \(-0.533692\pi\) | ||||
−0.105648 | + | 0.994404i | \(0.533692\pi\) | |||||||
\(548\) | −2.87852 | − | 10.7428i | −0.122964 | − | 0.458908i | ||||
\(549\) | 15.2036 | − | 15.2036i | 0.648875 | − | 0.648875i | ||||
\(550\) | −10.1946 | + | 3.59073i | −0.434698 | + | 0.153109i | ||||
\(551\) | −12.4345 | + | 21.5371i | −0.529726 | + | 0.917512i | ||||
\(552\) | 0.244280 | + | 0.911667i | 0.0103973 | + | 0.0388031i | ||||
\(553\) | −14.1311 | − | 24.4758i | −0.600915 | − | 1.04082i | ||||
\(554\) | 9.89133 | 0.420243 | ||||||||
\(555\) | 1.30671 | − | 0.514081i | 0.0554667 | − | 0.0218215i | ||||
\(556\) | −0.630040 | −0.0267197 | ||||||||
\(557\) | 21.0873 | + | 36.5242i | 0.893497 | + | 1.54758i | 0.835654 | + | 0.549256i | \(0.185089\pi\) |
0.0578426 | + | 0.998326i | \(0.481578\pi\) | |||||||
\(558\) | 2.85660 | + | 10.6610i | 0.120929 | + | 0.451315i | ||||
\(559\) | 0.835797 | − | 1.44764i | 0.0353504 | − | 0.0612287i | ||||
\(560\) | 3.15585 | + | 3.80101i | 0.133359 | + | 0.160622i | ||||
\(561\) | 0.881256 | − | 0.881256i | 0.0372066 | − | 0.0372066i | ||||
\(562\) | 1.61389 | + | 6.02311i | 0.0680778 | + | 0.254070i | ||||
\(563\) | 32.2486 | 1.35912 | 0.679559 | − | 0.733621i | \(-0.262171\pi\) | ||||
0.679559 | + | 0.733621i | \(0.262171\pi\) | |||||||
\(564\) | −0.115907 | + | 0.0669190i | −0.00488057 | + | 0.00281780i | ||||
\(565\) | 12.9344 | + | 28.1193i | 0.544155 | + | 1.18299i | ||||
\(566\) | 9.10186i | 0.382580i | ||||||||
\(567\) | −19.0025 | − | 5.09171i | −0.798031 | − | 0.213832i | ||||
\(568\) | 6.02963 | − | 10.4436i | 0.252998 | − | 0.438205i | ||||
\(569\) | −29.4533 | + | 29.4533i | −1.23475 | + | 1.23475i | −0.272625 | + | 0.962120i | \(0.587892\pi\) |
−0.962120 | + | 0.272625i | \(0.912108\pi\) | |||||||
\(570\) | −0.882239 | − | 0.624622i | −0.0369529 | − | 0.0261625i | ||||
\(571\) | 15.8008 | + | 27.3678i | 0.661243 | + | 1.14531i | 0.980289 | + | 0.197568i | \(0.0633043\pi\) |
−0.319046 | + | 0.947739i | \(0.603362\pi\) | |||||||
\(572\) | 1.74640 | − | 1.00828i | 0.0730206 | − | 0.0421585i | ||||
\(573\) | 1.99696 | + | 1.15295i | 0.0834243 | + | 0.0481651i | ||||
\(574\) | 1.52348 | − | 0.408216i | 0.0635890 | − | 0.0170386i | ||||
\(575\) | −44.9314 | − | 8.40602i | −1.87377 | − | 0.350555i | ||||
\(576\) | 2.58885 | − | 1.49467i | 0.107869 | − | 0.0622780i | ||||
\(577\) | 7.73904 | − | 4.46813i | 0.322180 | − | 0.186011i | −0.330184 | − | 0.943917i | \(-0.607111\pi\) |
0.652364 | + | 0.757906i | \(0.273777\pi\) | |||||||
\(578\) | 14.1863 | 0.590072 | ||||||||
\(579\) | −0.482855 | − | 1.80204i | −0.0200668 | − | 0.0748902i | ||||
\(580\) | −11.7057 | + | 2.00125i | −0.486055 | + | 0.0830972i | ||||
\(581\) | −4.12498 | −0.171133 | ||||||||
\(582\) | −0.966348 | − | 0.966348i | −0.0400564 | − | 0.0400564i | ||||
\(583\) | 3.71838 | + | 0.996338i | 0.154000 | + | 0.0412641i | ||||
\(584\) | 7.72337 | − | 7.72337i | 0.319595 | − | 0.319595i | ||||
\(585\) | −6.20898 | − | 0.575810i | −0.256710 | − | 0.0238068i | ||||
\(586\) | −16.9384 | − | 16.9384i | −0.699718 | − | 0.699718i | ||||
\(587\) | 14.2169 | − | 24.6243i | 0.586793 | − | 1.01636i | −0.407856 | − | 0.913046i | \(-0.633723\pi\) |
0.994649 | − | 0.103309i | \(-0.0329432\pi\) | |||||||
\(588\) | 0.211267 | − | 0.0566087i | 0.00871249 | − | 0.00233450i | ||||
\(589\) | 14.9725 | + | 8.64439i | 0.616932 | + | 0.356186i | ||||
\(590\) | −0.931547 | − | 5.44883i | −0.0383512 | − | 0.224325i | ||||
\(591\) | − | 1.92691i | − | 0.0792627i | ||||||
\(592\) | 4.05229 | + | 4.53640i | 0.166548 | + | 0.186445i | ||||
\(593\) | −16.0994 | − | 16.0994i | −0.661124 | − | 0.661124i | 0.294521 | − | 0.955645i | \(-0.404840\pi\) |
−0.955645 | + | 0.294521i | \(0.904840\pi\) | |||||||
\(594\) | −1.29109 | − | 0.345948i | −0.0529742 | − | 0.0141944i | ||||
\(595\) | 21.2267 | − | 17.6237i | 0.870208 | − | 0.722503i | ||||
\(596\) | −10.4446 | − | 6.03021i | −0.427829 | − | 0.247007i | ||||
\(597\) | −0.177621 | − | 0.102549i | −0.00726952 | − | 0.00419706i | ||||
\(598\) | 8.52845 | 0.348754 | ||||||||
\(599\) | −24.0280 | − | 13.8726i | −0.981758 | − | 0.566818i | −0.0789578 | − | 0.996878i | \(-0.525159\pi\) |
−0.902801 | + | 0.430059i | \(0.858493\pi\) | |||||||
\(600\) | −0.0396314 | − | 0.514669i | −0.00161794 | − | 0.0210113i | ||||
\(601\) | 6.12097 | + | 10.6018i | 0.249680 | + | 0.432458i | 0.963437 | − | 0.267935i | \(-0.0863413\pi\) |
−0.713757 | + | 0.700393i | \(0.753008\pi\) | |||||||
\(602\) | 2.79943 | − | 2.79943i | 0.114096 | − | 0.114096i | ||||
\(603\) | −18.3578 | + | 18.3578i | −0.747587 | + | 0.747587i | ||||
\(604\) | −11.9725 | + | 6.91232i | −0.487154 | + | 0.281258i | ||||
\(605\) | 1.30644 | − | 14.0874i | 0.0531143 | − | 0.572734i | ||||
\(606\) | 0.795426 | + | 0.795426i | 0.0323120 | + | 0.0323120i | ||||
\(607\) | 17.9940 | + | 31.1665i | 0.730354 | + | 1.26501i | 0.956732 | + | 0.290971i | \(0.0939784\pi\) |
−0.226377 | + | 0.974040i | \(0.572688\pi\) | |||||||
\(608\) | 1.21195 | − | 4.52305i | 0.0491509 | − | 0.183434i | ||||
\(609\) | 0.313531 | − | 1.17012i | 0.0127049 | − | 0.0474155i | ||||
\(610\) | 12.3741 | − | 10.2738i | 0.501012 | − | 0.415972i | ||||
\(611\) | 0.313006 | + | 1.16816i | 0.0126629 | + | 0.0472585i | ||||
\(612\) | −8.34694 | − | 14.4573i | −0.337405 | − | 0.584403i | ||||
\(613\) | 10.4914 | + | 2.81116i | 0.423743 | + | 0.113542i | 0.464387 | − | 0.885632i | \(-0.346275\pi\) |
−0.0406447 | + | 0.999174i | \(0.512941\pi\) | |||||||
\(614\) | 1.88053 | − | 7.01824i | 0.0758921 | − | 0.283233i | ||||
\(615\) | −0.154562 | − | 0.0571693i | −0.00623256 | − | 0.00230529i | ||||
\(616\) | 4.61328 | − | 1.23612i | 0.185874 | − | 0.0498049i | ||||
\(617\) | 1.95778 | − | 7.30652i | 0.0788171 | − | 0.294149i | −0.915255 | − | 0.402876i | \(-0.868011\pi\) |
0.994072 | + | 0.108727i | \(0.0346773\pi\) | |||||||
\(618\) | 0.925366 | + | 0.925366i | 0.0372237 | + | 0.0372237i | ||||
\(619\) | 5.36196 | 0.215515 | 0.107758 | − | 0.994177i | \(-0.465633\pi\) | ||||
0.107758 | + | 0.994177i | \(0.465633\pi\) | |||||||
\(620\) | 1.39126 | + | 8.13779i | 0.0558743 | + | 0.326821i | ||||
\(621\) | −3.99721 | − | 3.99721i | −0.160402 | − | 0.160402i | ||||
\(622\) | −7.99173 | + | 2.14138i | −0.320439 | + | 0.0858614i | ||||
\(623\) | 12.2476i | 0.490688i | ||||||||
\(624\) | 0.0249263 | + | 0.0930262i | 0.000997850 | + | 0.00372403i | ||||
\(625\) | 23.3091 | + | 9.03794i | 0.932365 | + | 0.361517i | ||||
\(626\) | 15.5337 | − | 26.9052i | 0.620852 | − | 1.07535i | ||||
\(627\) | −0.905009 | + | 0.522507i | −0.0361426 | + | 0.0208669i | ||||
\(628\) | 9.81550 | − | 9.81550i | 0.391681 | − | 0.391681i | ||||
\(629\) | 25.3334 | − | 22.6299i | 1.01011 | − | 0.902313i | ||||
\(630\) | −13.8513 | − | 5.12329i | −0.551848 | − | 0.204117i | ||||
\(631\) | −9.37285 | + | 34.9800i | −0.373127 | + | 1.39253i | 0.482934 | + | 0.875657i | \(0.339571\pi\) |
−0.856062 | + | 0.516874i | \(0.827096\pi\) | |||||||
\(632\) | −12.3560 | + | 3.31077i | −0.491494 | + | 0.131695i | ||||
\(633\) | −0.433487 | − | 1.61779i | −0.0172295 | − | 0.0643015i | ||||
\(634\) | −11.6579 | + | 3.12372i | −0.462993 | + | 0.124059i | ||||
\(635\) | 15.6880 | − | 42.4139i | 0.622559 | − | 1.68314i | ||||
\(636\) | −0.0919241 | + | 0.159217i | −0.00364503 | + | 0.00631337i | ||||
\(637\) | − | 1.97635i | − | 0.0783060i | ||||||
\(638\) | −2.97139 | + | 11.0894i | −0.117638 | + | 0.439032i | ||||
\(639\) | 36.0493i | 1.42609i | ||||||||
\(640\) | 2.03146 | − | 0.934438i | 0.0803005 | − | 0.0369369i | ||||
\(641\) | −10.7192 | − | 18.5662i | −0.423384 | − | 0.733323i | 0.572884 | − | 0.819637i | \(-0.305825\pi\) |
−0.996268 | + | 0.0863138i | \(0.972491\pi\) | |||||||
\(642\) | 0.456315 | + | 0.263454i | 0.0180093 | + | 0.0103977i | ||||
\(643\) | 0.739740i | 0.0291725i | 0.999894 | + | 0.0145862i | \(0.00464311\pi\) | ||||
−0.999894 | + | 0.0145862i | \(0.995357\pi\) | |||||||
\(644\) | 19.5105 | + | 5.22781i | 0.768820 | + | 0.206005i | ||||
\(645\) | −0.407739 | + | 0.0697081i | −0.0160547 | + | 0.00274476i | ||||
\(646\) | −25.2588 | − | 6.76808i | −0.993795 | − | 0.266286i | ||||
\(647\) | 14.1176 | − | 24.4524i | 0.555019 | − | 0.961322i | −0.442883 | − | 0.896580i | \(-0.646044\pi\) |
0.997902 | − | 0.0647421i | \(-0.0206225\pi\) | |||||||
\(648\) | −4.45209 | + | 7.71125i | −0.174895 | + | 0.302927i | ||||
\(649\) | −5.16192 | − | 1.38313i | −0.202623 | − | 0.0542927i | ||||
\(650\) | −4.58479 | − | 0.857747i | −0.179830 | − | 0.0336436i | ||||
\(651\) | −0.813459 | − | 0.217966i | −0.0318820 | − | 0.00854275i | ||||
\(652\) | 9.65430i | 0.378092i | ||||||||
\(653\) | −0.725000 | − | 0.418579i | −0.0283715 | − | 0.0163803i | 0.485747 | − | 0.874099i | \(-0.338548\pi\) |
−0.514119 | + | 0.857719i | \(0.671881\pi\) | |||||||
\(654\) | 0.0608496 | + | 0.105395i | 0.00237941 | + | 0.00412126i | ||||
\(655\) | −29.0238 | − | 10.7353i | −1.13406 | − | 0.419463i | ||||
\(656\) | − | 0.713873i | − | 0.0278721i | ||||||
\(657\) | −8.45072 | + | 31.5385i | −0.329694 | + | 1.23043i | ||||
\(658\) | 2.86425i | 0.111660i | ||||||||
\(659\) | 16.9248 | − | 29.3146i | 0.659297 | − | 1.14194i | −0.321501 | − | 0.946909i | \(-0.604187\pi\) |
0.980798 | − | 0.195026i | \(-0.0624793\pi\) | |||||||
\(660\) | −0.468033 | − | 0.173115i | −0.0182181 | − | 0.00673850i | ||||
\(661\) | 6.42042 | − | 1.72035i | 0.249725 | − | 0.0669137i | −0.131785 | − | 0.991278i | \(-0.542071\pi\) |
0.381510 | + | 0.924365i | \(0.375404\pi\) | |||||||
\(662\) | −6.80897 | − | 25.4114i | −0.264638 | − | 0.987642i | ||||
\(663\) | 0.519502 | − | 0.139200i | 0.0201758 | − | 0.00540609i | ||||
\(664\) | −0.483220 | + | 1.80340i | −0.0187526 | + | 0.0699856i | ||||
\(665\) | −21.0169 | + | 9.66742i | −0.815000 | + | 0.374886i | ||||
\(666\) | −17.2712 | − | 5.68721i | −0.669245 | − | 0.220375i | ||||
\(667\) | −34.3325 | + | 34.3325i | −1.32936 | + | 1.32936i | ||||
\(668\) | 9.85063 | − | 5.68727i | 0.381132 | − | 0.220047i | ||||
\(669\) | 0.227269 | − | 0.393641i | 0.00878672 | − | 0.0152190i | ||||
\(670\) | −14.9412 | + | 12.4052i | −0.577230 | + | 0.479254i | ||||
\(671\) | −4.02417 | − | 15.0184i | −0.155351 | − | 0.579778i | ||||
\(672\) | 0.228095i | 0.00879894i | ||||||||
\(673\) | 22.9801 | − | 6.15749i | 0.885816 | − | 0.237354i | 0.212901 | − | 0.977074i | \(-0.431709\pi\) |
0.672915 | + | 0.739720i | \(0.265042\pi\) | |||||||
\(674\) | −4.27164 | − | 4.27164i | −0.164538 | − | 0.164538i | ||||
\(675\) | 1.74683 | + | 2.55087i | 0.0672355 | + | 0.0981829i | ||||
\(676\) | −12.1298 | −0.466529 | ||||||||
\(677\) | −21.0110 | − | 21.0110i | −0.807519 | − | 0.807519i | 0.176739 | − | 0.984258i | \(-0.443445\pi\) |
−0.984258 | + | 0.176739i | \(0.943445\pi\) | |||||||
\(678\) | −0.369858 | + | 1.38033i | −0.0142043 | + | 0.0530112i | ||||
\(679\) | −28.2503 | + | 7.56965i | −1.08415 | + | 0.290497i | ||||
\(680\) | −5.21834 | − | 11.3446i | −0.200114 | − | 0.435046i | ||||
\(681\) | −0.572167 | + | 2.13536i | −0.0219255 | + | 0.0818270i | ||||
\(682\) | 7.70929 | + | 2.06570i | 0.295204 | + | 0.0790996i | ||||
\(683\) | 2.68519 | + | 4.65089i | 0.102746 | + | 0.177961i | 0.912815 | − | 0.408373i | \(-0.133904\pi\) |
−0.810069 | + | 0.586334i | \(0.800570\pi\) | |||||||
\(684\) | 3.62292 | + | 13.5209i | 0.138526 | + | 0.516986i | ||||
\(685\) | 15.8860 | + | 19.1337i | 0.606974 | + | 0.731061i | ||||
\(686\) | 5.21431 | − | 19.4601i | 0.199083 | − | 0.742988i | ||||
\(687\) | −0.411814 | + | 1.53691i | −0.0157117 | + | 0.0586368i | ||||
\(688\) | −0.895944 | − | 1.55182i | −0.0341576 | − | 0.0591626i | ||||
\(689\) | 1.17469 | + | 1.17469i | 0.0447520 | + | 0.0447520i | ||||
\(690\) | −1.34814 | − | 1.62375i | −0.0513229 | − | 0.0618151i | ||||
\(691\) | 0.793456 | − | 0.458102i | 0.0301845 | − | 0.0174270i | −0.484832 | − | 0.874607i | \(-0.661119\pi\) |
0.515016 | + | 0.857180i | \(0.327786\pi\) | |||||||
\(692\) | −8.63348 | + | 8.63348i | −0.328196 | + | 0.328196i | ||||
\(693\) | −10.0955 | + | 10.0955i | −0.383495 | + | 0.383495i | ||||
\(694\) | 5.28369 | + | 9.15162i | 0.200566 | + | 0.347391i | ||||
\(695\) | 1.27990 | − | 0.588733i | 0.0485494 | − | 0.0223319i | ||||
\(696\) | −0.474835 | − | 0.274146i | −0.0179986 | − | 0.0103915i | ||||
\(697\) | −3.98660 | −0.151003 | ||||||||
\(698\) | −21.8768 | − | 12.6306i | −0.828049 | − | 0.478074i | ||||
\(699\) | 0.704676 | + | 0.406845i | 0.0266533 | + | 0.0153883i | ||||
\(700\) | −9.96279 | − | 4.77266i | −0.376558 | − | 0.180390i | ||||
\(701\) | −5.09773 | − | 1.36593i | −0.192539 | − | 0.0515906i | 0.161261 | − | 0.986912i | \(-0.448444\pi\) |
−0.353800 | + | 0.935321i | \(0.615111\pi\) | |||||||
\(702\) | −0.407874 | − | 0.407874i | −0.0153942 | − | 0.0153942i | ||||
\(703\) | −25.4295 | + | 12.8308i | −0.959092 | + | 0.483923i | ||||
\(704\) | − | 2.16169i | − | 0.0814717i | ||||||
\(705\) | 0.172929 | − | 0.244251i | 0.00651288 | − | 0.00919903i | ||||
\(706\) | 8.58914 | + | 4.95894i | 0.323257 | + | 0.186632i | ||||
\(707\) | 23.2536 | − | 6.23078i | 0.874541 | − | 0.234332i | ||||
\(708\) | 0.127610 | − | 0.221028i | 0.00479590 | − | 0.00830674i | ||||
\(709\) | −29.3850 | − | 29.3850i | −1.10358 | − | 1.10358i | −0.993976 | − | 0.109600i | \(-0.965043\pi\) |
−0.109600 | − | 0.993976i | \(-0.534957\pi\) | |||||||
\(710\) | −2.49003 | + | 26.8501i | −0.0934493 | + | 1.00767i | ||||
\(711\) | 27.0392 | − | 27.0392i | 1.01405 | − | 1.01405i | ||||
\(712\) | 5.35452 | + | 1.43474i | 0.200669 | + | 0.0537691i | ||||
\(713\) | 23.8678 | + | 23.8678i | 0.893857 | + | 0.893857i | ||||
\(714\) | 1.27379 | 0.0476703 | ||||||||
\(715\) | −2.60556 | + | 3.68019i | −0.0974424 | + | 0.137631i | ||||
\(716\) | 1.68491 | + | 6.28819i | 0.0629682 | + | 0.235001i | ||||
\(717\) | 1.45429 | 0.0543116 | ||||||||
\(718\) | −13.2094 | + | 7.62647i | −0.492972 | + | 0.284617i | ||||
\(719\) | −11.6903 | + | 6.74940i | −0.435975 | + | 0.251710i | −0.701889 | − | 0.712287i | \(-0.747660\pi\) |
0.265914 | + | 0.963997i | \(0.414326\pi\) | |||||||
\(720\) | −3.86246 | + | 5.45548i | −0.143945 | + | 0.203314i | ||||
\(721\) | 27.0523 | − | 7.24863i | 1.00748 | − | 0.269953i | ||||
\(722\) | 2.53465 | + | 1.46338i | 0.0943298 | + | 0.0544613i | ||||
\(723\) | 1.79064 | − | 1.03383i | 0.0665946 | − | 0.0384484i | ||||
\(724\) | 11.8428 | + | 20.5123i | 0.440134 | + | 0.762335i | ||||
\(725\) | 21.9097 | − | 15.0037i | 0.813706 | − | 0.557225i | ||||
\(726\) | 0.461883 | − | 0.461883i | 0.0171421 | − | 0.0171421i | ||||
\(727\) | −22.6609 | + | 39.2498i | −0.840445 | + | 1.45569i | 0.0490736 | + | 0.998795i | \(0.484373\pi\) |
−0.889519 | + | 0.456899i | \(0.848960\pi\) | |||||||
\(728\) | 1.99084 | + | 0.533444i | 0.0737854 | + | 0.0197707i | ||||
\(729\) | − | 26.4262i | − | 0.978747i | ||||||
\(730\) | −8.47271 | + | 22.9067i | −0.313589 | + | 0.847816i | ||||
\(731\) | −8.66610 | + | 5.00337i | −0.320527 | + | 0.185056i | ||||
\(732\) | 0.742555 | 0.0274456 | ||||||||
\(733\) | 12.4626 | + | 46.5110i | 0.460316 | + | 1.71792i | 0.671971 | + | 0.740578i | \(0.265448\pi\) |
−0.211655 | + | 0.977345i | \(0.567885\pi\) | |||||||
\(734\) | 4.17362 | − | 4.17362i | 0.154051 | − | 0.154051i | ||||
\(735\) | −0.376282 | + | 0.312414i | −0.0138794 | + | 0.0115236i | ||||
\(736\) | 4.57110 | − | 7.91738i | 0.168493 | − | 0.291838i | ||||
\(737\) | 4.85903 | + | 18.1341i | 0.178985 | + | 0.667979i | ||||
\(738\) | 1.06701 | + | 1.84811i | 0.0392770 | + | 0.0680298i | ||||
\(739\) | −35.1315 | −1.29233 | −0.646167 | − | 0.763196i | \(-0.723629\pi\) | ||||
−0.646167 | + | 0.763196i | \(0.723629\pi\) | |||||||
\(740\) | −12.4710 | − | 5.42891i | −0.458445 | − | 0.199571i | ||||
\(741\) | −0.450971 | −0.0165668 | ||||||||
\(742\) | 1.96725 | + | 3.40738i | 0.0722202 | + | 0.125089i | ||||
\(743\) | 11.9968 | + | 44.7727i | 0.440121 | + | 1.64255i | 0.728507 | + | 0.685039i | \(0.240215\pi\) |
−0.288386 | + | 0.957514i | \(0.593119\pi\) | |||||||
\(744\) | −0.190585 | + | 0.330103i | −0.00698719 | + | 0.0121022i | ||||
\(745\) | 26.8527 | + | 2.49027i | 0.983807 | + | 0.0912365i | ||||
\(746\) | 5.68751 | − | 5.68751i | 0.208234 | − | 0.208234i | ||||
\(747\) | −1.44451 | − | 5.39099i | −0.0528519 | − | 0.197246i | ||||
\(748\) | −12.0719 | −0.441392 | ||||||||
\(749\) | 9.76554 | − | 5.63814i | 0.356825 | − | 0.206013i | ||||
\(750\) | 0.561436 | + | 1.00850i | 0.0205007 | + | 0.0368251i | ||||
\(751\) | 41.9538i | 1.53092i | 0.643485 | + | 0.765458i | \(0.277488\pi\) | ||||
−0.643485 | + | 0.765458i | \(0.722512\pi\) | |||||||
\(752\) | 1.25222 | + | 0.335532i | 0.0456638 | + | 0.0122356i | ||||
\(753\) | −1.53991 | + | 2.66720i | −0.0561174 | + | 0.0971983i | ||||
\(754\) | −3.50328 | + | 3.50328i | −0.127582 | + | 0.127582i | ||||
\(755\) | 17.8625 | − | 25.2296i | 0.650083 | − | 0.918201i | ||||
\(756\) | −0.683068 | − | 1.18311i | −0.0248429 | − | 0.0430292i | ||||
\(757\) | 22.2153 | − | 12.8260i | 0.807427 | − | 0.466168i | −0.0386345 | − | 0.999253i | \(-0.512301\pi\) |
0.846062 | + | 0.533085i | \(0.178967\pi\) | |||||||
\(758\) | −21.9353 | − | 12.6643i | −0.796725 | − | 0.459990i | ||||
\(759\) | −1.97074 | + | 0.528058i | −0.0715334 | + | 0.0191673i | ||||
\(760\) | 1.76448 | + | 10.3209i | 0.0640046 | + | 0.374377i | ||||
\(761\) | −27.3710 | + | 15.8026i | −0.992197 | + | 0.572845i | −0.905930 | − | 0.423427i | \(-0.860827\pi\) |
−0.0862666 | + | 0.996272i | \(0.527494\pi\) | |||||||
\(762\) | 1.80817 | − | 1.04395i | 0.0655031 | − | 0.0378183i | ||||
\(763\) | 2.60447 | 0.0942881 | ||||||||
\(764\) | −5.78088 | − | 21.5745i | −0.209145 | − | 0.780539i | ||||
\(765\) | 30.4659 | + | 21.5698i | 1.10150 | + | 0.779857i | ||||
\(766\) | −5.70483 | −0.206124 | ||||||||
\(767\) | −1.63072 | − | 1.63072i | −0.0588818 | − | 0.0588818i | ||||
\(768\) | 0.0997208 | + | 0.0267201i | 0.00359836 | + | 0.000964179i | ||||
\(769\) | −18.7032 | + | 18.7032i | −0.674454 | + | 0.674454i | −0.958740 | − | 0.284286i | \(-0.908244\pi\) |
0.284286 | + | 0.958740i | \(0.408244\pi\) | |||||||
\(770\) | −8.21661 | + | 6.82196i | −0.296106 | + | 0.245846i | ||||
\(771\) | 0.416700 | + | 0.416700i | 0.0150071 | + | 0.0150071i | ||||
\(772\) | −9.03543 | + | 15.6498i | −0.325192 | + | 0.563249i | ||||
\(773\) | −27.4228 | + | 7.34791i | −0.986329 | + | 0.264286i | −0.715708 | − | 0.698400i | \(-0.753896\pi\) |
−0.270621 | + | 0.962686i | \(0.587229\pi\) | |||||||
\(774\) | 4.63892 | + | 2.67828i | 0.166743 | + | 0.0962689i | ||||
\(775\) | −10.4305 | − | 15.2315i | −0.374676 | − | 0.547133i | ||||
\(776\) | 13.2375i | 0.475200i | ||||||||
\(777\) | 1.03473 | − | 0.924305i | 0.0371207 | − | 0.0331593i | ||||
\(778\) | 2.82991 | + | 2.82991i | 0.101457 | + | 0.101457i | ||||
\(779\) | 3.22888 | + | 0.865176i | 0.115687 | + | 0.0309981i | ||||
\(780\) | −0.137564 | − | 0.165687i | −0.00492558 | − | 0.00593254i | ||||
\(781\) | 22.5759 | + | 13.0342i | 0.807828 | + | 0.466400i | ||||
\(782\) | −44.2143 | − | 25.5272i | −1.58110 | − | 0.912850i | ||||
\(783\) | 3.28391 | 0.117357 | ||||||||
\(784\) | −1.83475 | − | 1.05929i | −0.0655266 | − | 0.0378318i | ||||
\(785\) | −10.7678 | + | 29.1118i | −0.384320 | + | 1.03904i | ||||
\(786\) | −0.714374 | − | 1.23733i | −0.0254809 | − | 0.0441342i | ||||
\(787\) | −6.10300 | + | 6.10300i | −0.217548 | + | 0.217548i | −0.807465 | − | 0.589916i | \(-0.799161\pi\) |
0.589916 | + | 0.807465i | \(0.299161\pi\) | |||||||
\(788\) | −13.1979 | + | 13.1979i | −0.470157 | + | 0.470157i | ||||
\(789\) | −1.36274 | + | 0.786776i | −0.0485147 | + | 0.0280100i | ||||
\(790\) | 22.0069 | − | 18.2716i | 0.782971 | − | 0.650073i | ||||
\(791\) | 21.6249 | + | 21.6249i | 0.768894 | + | 0.768894i | ||||
\(792\) | 3.23101 | + | 5.59628i | 0.114809 | + | 0.198855i | ||||
\(793\) | 1.73661 | − | 6.48112i | 0.0616688 | − | 0.230151i | ||||
\(794\) | −3.69313 | + | 13.7829i | −0.131064 | + | 0.489138i | ||||
\(795\) | 0.0379615 | − | 0.409341i | 0.00134636 | − | 0.0145178i | ||||
\(796\) | 0.514182 | + | 1.91895i | 0.0182247 | + | 0.0680155i | ||||
\(797\) | 15.7807 | + | 27.3329i | 0.558980 | + | 0.968182i | 0.997582 | + | 0.0695002i | \(0.0221404\pi\) |
−0.438602 | + | 0.898681i | \(0.644526\pi\) | |||||||
\(798\) | −1.03168 | − | 0.276438i | −0.0365211 | − | 0.00978581i | ||||
\(799\) | 1.87377 | − | 6.99299i | 0.0662891 | − | 0.247394i | ||||
\(800\) | −3.25365 | + | 3.79654i | −0.115034 | + | 0.134228i | ||||
\(801\) | −16.0065 | + | 4.28892i | −0.565561 | + | 0.151542i | ||||
\(802\) | 3.62607 | − | 13.5327i | 0.128041 | − | 0.477855i | ||||
\(803\) | 16.6955 | + | 16.6955i | 0.589172 | + | 0.589172i | ||||
\(804\) | −0.896606 | −0.0316209 | ||||||||
\(805\) | −44.5198 | + | 7.61122i | −1.56912 | + | 0.268260i | ||||
\(806\) | 2.43546 | + | 2.43546i | 0.0857856 | + | 0.0857856i | ||||
\(807\) | −1.89512 | + | 0.507797i | −0.0667115 | + | 0.0178753i | ||||
\(808\) | − | 10.8961i | − | 0.383325i | ||||||
\(809\) | −12.8270 | − | 47.8709i | −0.450972 | − | 1.68305i | −0.699666 | − | 0.714470i | \(-0.746668\pi\) |
0.248694 | − | 0.968582i | \(-0.419999\pi\) | |||||||
\(810\) | 1.83856 | − | 19.8253i | 0.0646005 | − | 0.696590i | ||||
\(811\) | 1.63906 | − | 2.83894i | 0.0575553 | − | 0.0996887i | −0.835812 | − | 0.549015i | \(-0.815003\pi\) |
0.893367 | + | 0.449327i | \(0.148336\pi\) | |||||||
\(812\) | −10.1619 | + | 5.86696i | −0.356612 | + | 0.205890i | ||||
\(813\) | −1.46567 | + | 1.46567i | −0.0514032 | + | 0.0514032i | ||||
\(814\) | −9.80629 | + | 8.75979i | −0.343710 | + | 0.307030i | ||||
\(815\) | −9.02134 | − | 19.6123i | −0.316004 | − | 0.686990i | ||||
\(816\) | 0.149218 | − | 0.556888i | 0.00522366 | − | 0.0194950i | ||||
\(817\) | 8.10480 | − | 2.17167i | 0.283551 | − | 0.0759772i | ||||
\(818\) | −6.78318 | − | 25.3152i | −0.237168 | − | 0.885125i | ||||
\(819\) | −5.95130 | + | 1.59465i | −0.207955 | + | 0.0557215i | ||||
\(820\) | 0.667070 | + | 1.45020i | 0.0232951 | + | 0.0506433i | ||||
\(821\) | 24.3204 | − | 42.1241i | 0.848787 | − | 1.47014i | −0.0335041 | − | 0.999439i | \(-0.510667\pi\) |
0.882291 | − | 0.470704i | \(-0.156000\pi\) | |||||||
\(822\) | 1.14819i | 0.0400478i | ||||||||
\(823\) | 2.01820 | − | 7.53202i | 0.0703500 | − | 0.262550i | −0.921789 | − | 0.387693i | \(-0.873272\pi\) |
0.992139 | + | 0.125143i | \(0.0399389\pi\) | |||||||
\(824\) | − | 12.6761i | − | 0.441594i | ||||||
\(825\) | 1.11255 | − | 0.0856707i | 0.0387342 | − | 0.00298267i | ||||
\(826\) | −2.73097 | − | 4.73018i | −0.0950227 | − | 0.164584i | ||||
\(827\) | −15.2166 | − | 8.78529i | −0.529132 | − | 0.305495i | 0.211531 | − | 0.977371i | \(-0.432155\pi\) |
−0.740663 | + | 0.671877i | \(0.765488\pi\) | |||||||
\(828\) | 27.3292i | 0.949754i | ||||||||
\(829\) | −30.2311 | − | 8.10040i | −1.04997 | − | 0.281339i | −0.307731 | − | 0.951474i | \(-0.599570\pi\) |
−0.742239 | + | 0.670135i | \(0.766236\pi\) | |||||||
\(830\) | −0.703525 | − | 4.11508i | −0.0244197 | − | 0.142836i | ||||
\(831\) | −0.986372 | − | 0.264297i | −0.0342169 | − | 0.00916838i | ||||
\(832\) | 0.466433 | − | 0.807886i | 0.0161707 | − | 0.0280084i | ||||
\(833\) | −5.91558 | + | 10.2461i | −0.204963 | + | 0.355006i | ||||
\(834\) | 0.0628281 | + | 0.0168347i | 0.00217556 | + | 0.000582939i | ||||
\(835\) | −14.6968 | + | 20.7582i | −0.508602 | + | 0.718369i | ||||
\(836\) | 9.77742 | + | 2.61985i | 0.338159 | + | 0.0906094i | ||||
\(837\) | − | 2.28296i | − | 0.0789106i | ||||||
\(838\) | −4.98984 | − | 2.88089i | −0.172371 | − | 0.0995186i | ||||
\(839\) | 5.11775 | + | 8.86421i | 0.176684 | + | 0.306026i | 0.940743 | − | 0.339121i | \(-0.110129\pi\) |
−0.764058 | + | 0.645147i | \(0.776796\pi\) | |||||||
\(840\) | −0.213140 | − | 0.463365i | −0.00735403 | − | 0.0159876i | ||||
\(841\) | 0.794105i | 0.0273829i | ||||||||
\(842\) | 8.06452 | − | 30.0972i | 0.277922 | − | 1.03722i | ||||
\(843\) | − | 0.643753i | − | 0.0221720i | ||||||
\(844\) | −8.11162 | + | 14.0497i | −0.279213 | + | 0.483612i | ||||
\(845\) | 24.6411 | − | 11.3345i | 0.847680 | − | 0.389919i | ||||
\(846\) | −3.74332 | + | 1.00302i | −0.128698 | + | 0.0344845i | ||||
\(847\) | −3.61805 | − | 13.5027i | −0.124318 | − | 0.463959i | ||||
\(848\) | 1.72013 | − | 0.460907i | 0.0590695 | − | 0.0158276i | ||||
\(849\) | 0.243203 | − | 0.907645i | 0.00834670 | − | 0.0311503i | ||||
\(850\) | 21.2017 | + | 18.1699i | 0.727212 | + | 0.623223i | ||||
\(851\) | −54.4398 | + | 11.3472i | −1.86617 | + | 0.388975i | ||||
\(852\) | −0.880335 | + | 0.880335i | −0.0301598 | + | 0.0301598i | ||||
\(853\) | 20.2376 | − | 11.6842i | 0.692921 | − | 0.400058i | −0.111784 | − | 0.993732i | \(-0.535657\pi\) |
0.804705 | + | 0.593674i | \(0.202323\pi\) | |||||||
\(854\) | 7.94565 | − | 13.7623i | 0.271895 | − | 0.470935i | ||||
\(855\) | −19.9943 | − | 24.0818i | −0.683790 | − | 0.823581i | ||||
\(856\) | −1.32096 | − | 4.92988i | −0.0451494 | − | 0.168500i | ||||
\(857\) | 14.0296i | 0.479241i | 0.970867 | + | 0.239621i | \(0.0770231\pi\) | ||||
−0.970867 | + | 0.239621i | \(0.922977\pi\) | |||||||
\(858\) | −0.201094 | + | 0.0538829i | −0.00686522 | + | 0.00183953i | ||||
\(859\) | −30.3591 | − | 30.3591i | −1.03584 | − | 1.03584i | −0.999333 | − | 0.0365072i | \(-0.988377\pi\) |
−0.0365072 | − | 0.999333i | \(-0.511623\pi\) | |||||||
\(860\) | 3.27015 | + | 2.31526i | 0.111511 | + | 0.0789496i | ||||
\(861\) | −0.162831 | −0.00554925 | ||||||||
\(862\) | 1.77671 | + | 1.77671i | 0.0605151 | + | 0.0605151i | ||||
\(863\) | −8.38726 | + | 31.3017i | −0.285506 | + | 1.06552i | 0.662963 | + | 0.748652i | \(0.269299\pi\) |
−0.948469 | + | 0.316870i | \(0.897368\pi\) | |||||||
\(864\) | −0.597262 | + | 0.160036i | −0.0203193 | + | 0.00544453i | ||||
\(865\) | 9.47111 | − | 25.6060i | 0.322027 | − | 0.870630i | ||||
\(866\) | −5.22537 | + | 19.5013i | −0.177565 | + | 0.662682i | ||||
\(867\) | −1.41467 | − | 0.379059i | −0.0480447 | − | 0.0128735i | ||||
\(868\) | 4.07869 | + | 7.06449i | 0.138440 | + | 0.239784i | ||||
\(869\) | −7.15685 | − | 26.7097i | −0.242780 | − | 0.906066i | ||||
\(870\) | 1.22078 | + | 0.113213i | 0.0413883 | + | 0.00383828i | ||||
\(871\) | −2.09689 | + | 7.82570i | −0.0710504 | + | 0.265164i | ||||
\(872\) | 0.305100 | − | 1.13865i | 0.0103320 | − | 0.0385595i | ||||
\(873\) | −19.7857 | − | 34.2699i | −0.669646 | − | 1.15986i | ||||
\(874\) | 30.2707 | + | 30.2707i | 1.02392 | + | 1.02392i | ||||
\(875\) | 24.6988 | + | 0.385871i | 0.834970 | + | 0.0130448i | ||||
\(876\) | −0.976550 | + | 0.563811i | −0.0329946 | + | 0.0190494i | ||||
\(877\) | −22.6932 | + | 22.6932i | −0.766295 | + | 0.766295i | −0.977452 | − | 0.211157i | \(-0.932277\pi\) |
0.211157 | + | 0.977452i | \(0.432277\pi\) | |||||||
\(878\) | −6.16421 | + | 6.16421i | −0.208032 | + | 0.208032i | ||||
\(879\) | 1.23651 | + | 2.14171i | 0.0417066 | + | 0.0722379i | ||||
\(880\) | 2.01996 | + | 4.39138i | 0.0680929 | + | 0.148033i | ||||
\(881\) | 21.5343 | + | 12.4329i | 0.725511 | + | 0.418874i | 0.816778 | − | 0.576953i | \(-0.195758\pi\) |
−0.0912669 | + | 0.995826i | \(0.529092\pi\) | |||||||
\(882\) | 6.33317 | 0.213249 | ||||||||
\(883\) | −19.6138 | − | 11.3240i | −0.660057 | − | 0.381084i | 0.132242 | − | 0.991218i | \(-0.457783\pi\) |
−0.792299 | + | 0.610133i | \(0.791116\pi\) | |||||||
\(884\) | −4.51162 | − | 2.60478i | −0.151742 | − | 0.0876083i | ||||
\(885\) | −0.0526988 | + | 0.568253i | −0.00177145 | + | 0.0191016i | ||||
\(886\) | 23.2608 | + | 6.23270i | 0.781461 | + | 0.209392i | ||||
\(887\) | 35.9300 | + | 35.9300i | 1.20641 | + | 1.20641i | 0.972182 | + | 0.234228i | \(0.0752563\pi\) |
0.234228 | + | 0.972182i | \(0.424744\pi\) | |||||||
\(888\) | −0.282884 | − | 0.560651i | −0.00949298 | − | 0.0188142i | ||||
\(889\) | − | 44.6828i | − | 1.49861i | ||||||
\(890\) | −12.2182 | + | 2.08885i | −0.409553 | + | 0.0700184i | ||||
\(891\) | −16.6693 | − | 9.62404i | −0.558444 | − | 0.322418i | ||||
\(892\) | −4.25277 | + | 1.13953i | −0.142393 | + | 0.0381541i | ||||
\(893\) | −3.03525 | + | 5.25721i | −0.101571 | + | 0.175926i | ||||
\(894\) | 0.880419 | + | 0.880419i | 0.0294456 | + | 0.0294456i | ||||
\(895\) | −9.29875 | − | 11.1997i | −0.310823 | − | 0.374366i | ||||
\(896\) | 1.56228 | − | 1.56228i | 0.0521920 | − | 0.0521920i | ||||
\(897\) | −0.850464 | − | 0.227881i | −0.0283962 | − | 0.00760873i | ||||
\(898\) | 0.560928 | + | 0.560928i | 0.0187184 | + | 0.0187184i | ||||
\(899\) | −19.6086 | −0.653984 | ||||||||
\(900\) | 2.74862 | − | 14.6918i | 0.0916208 | − | 0.489727i | ||||
\(901\) | −2.57392 | − | 9.60601i | −0.0857498 | − | 0.320023i | ||||
\(902\) | 1.54317 | 0.0513820 | ||||||||
\(903\) | −0.353962 | + | 0.204360i | −0.0117791 | + | 0.00680068i | ||||
\(904\) | 11.9875 | − | 6.92097i | 0.398697 | − | 0.230188i | ||||
\(905\) | −43.2256 | − | 30.6036i | −1.43687 | − | 1.01730i | ||||
\(906\) | 1.37860 | − | 0.369396i | 0.0458011 | − | 0.0122724i | ||||
\(907\) | 17.2294 | + | 9.94741i | 0.572093 | + | 0.330298i | 0.757985 | − | 0.652272i | \(-0.226184\pi\) |
−0.185892 | + | 0.982570i | \(0.559517\pi\) | |||||||
\(908\) | 18.5445 | − | 10.7067i | 0.615421 | − | 0.355314i | ||||
\(909\) | 16.2862 | + | 28.2084i | 0.540178 | + | 0.935615i | ||||
\(910\) | −4.54278 | + | 0.776646i | −0.150592 | + | 0.0257456i | ||||
\(911\) | 18.0504 | − | 18.0504i | 0.598036 | − | 0.598036i | −0.341754 | − | 0.939789i | \(-0.611021\pi\) |
0.939789 | + | 0.341754i | \(0.111021\pi\) | |||||||
\(912\) | −0.241713 | + | 0.418658i | −0.00800390 | + | 0.0138632i | ||||
\(913\) | −3.89839 | − | 1.04457i | −0.129018 | − | 0.0345703i | ||||
\(914\) | − | 28.4260i | − | 0.940249i | ||||||
\(915\) | −1.50847 | + | 0.693871i | −0.0498685 | + | 0.0229387i | ||||
\(916\) | 13.3473 | − | 7.70608i | 0.441008 | − | 0.254616i | ||||
\(917\) | −30.5764 | −1.00972 | ||||||||
\(918\) | 0.893715 | + | 3.33539i | 0.0294970 | + | 0.110084i | ||||
\(919\) | −7.54653 | + | 7.54653i | −0.248937 | + | 0.248937i | −0.820534 | − | 0.571597i | \(-0.806324\pi\) |
0.571597 | + | 0.820534i | \(0.306324\pi\) | |||||||
\(920\) | −1.88771 | + | 20.3552i | −0.0622359 | + | 0.671092i | ||||
\(921\) | −0.375056 | + | 0.649616i | −0.0123585 | + | 0.0214056i | ||||
\(922\) | −2.45774 | − | 9.17243i | −0.0809415 | − | 0.302078i | ||||
\(923\) | 5.62484 | + | 9.74252i | 0.185144 | + | 0.320679i | ||||
\(924\) | −0.493069 | −0.0162208 | ||||||||
\(925\) | 30.4074 | − | 0.624814i | 0.999789 | − | 0.0205438i | ||||
\(926\) | 13.7904 | 0.453179 | ||||||||
\(927\) | 18.9466 | + | 32.8165i | 0.622289 | + | 1.07784i | ||||
\(928\) | 1.37457 | + | 5.12996i | 0.0451224 | + | 0.168399i | ||||
\(929\) | −7.75558 | + | 13.4331i | −0.254452 | + | 0.440724i | −0.964747 | − | 0.263180i | \(-0.915229\pi\) |
0.710294 | + | 0.703905i | \(0.248562\pi\) | |||||||
\(930\) | 0.0787052 | − | 0.848681i | 0.00258084 | − | 0.0278294i | ||||
\(931\) | 7.01484 | − | 7.01484i | 0.229902 | − | 0.229902i | ||||
\(932\) | −2.03992 | − | 7.61309i | −0.0668198 | − | 0.249375i | ||||
\(933\) | 0.854159 | 0.0279639 | ||||||||
\(934\) | 32.6607 | − | 18.8567i | 1.06869 | − | 0.617009i | ||||
\(935\) | 24.5235 | − | 11.2804i | 0.802006 | − | 0.368909i | ||||
\(936\) | 2.78866i | 0.0911501i | ||||||||
\(937\) | −47.6929 | − | 12.7793i | −1.55806 | − | 0.417481i | −0.626011 | − | 0.779814i | \(-0.715314\pi\) |
−0.932049 | + | 0.362333i | \(0.881980\pi\) | |||||||
\(938\) | −9.59407 | + | 16.6174i | −0.313258 | + | 0.542578i | ||||
\(939\) | −2.26794 | + | 2.26794i | −0.0740115 | + | 0.0740115i | ||||
\(940\) | −2.85737 | + | 0.488504i | −0.0931972 | + | 0.0159332i | ||||
\(941\) | −4.30359 | − | 7.45404i | −0.140293 | − | 0.242995i | 0.787314 | − | 0.616552i | \(-0.211471\pi\) |
−0.927607 | + | 0.373558i | \(0.878138\pi\) | |||||||
\(942\) | −1.24108 | + | 0.716538i | −0.0404366 | + | 0.0233461i | ||||
\(943\) | 5.65200 | + | 3.26318i | 0.184054 | + | 0.106264i | ||||
\(944\) | −2.38791 | + | 0.639839i | −0.0777199 | + | 0.0208250i | ||||
\(945\) | 2.49317 | + | 1.76515i | 0.0811027 | + | 0.0574204i | ||||
\(946\) | 3.35455 | − | 1.93675i | 0.109066 | − | 0.0629693i | ||||
\(947\) | −7.35001 | + | 4.24353i | −0.238843 | + | 0.137896i | −0.614645 | − | 0.788804i | \(-0.710701\pi\) |
0.375802 | + | 0.926700i | \(0.377367\pi\) | |||||||
\(948\) | 1.32061 | 0.0428914 | ||||||||
\(949\) | 2.63717 | + | 9.84204i | 0.0856061 | + | 0.319486i | ||||
\(950\) | −13.2287 | − | 19.3176i | −0.429195 | − | 0.626747i | ||||
\(951\) | 1.24600 | 0.0404043 | ||||||||
\(952\) | −8.72449 | − | 8.72449i | −0.282762 | − | 0.282762i | ||||
\(953\) | 2.97497 | + | 0.797140i | 0.0963687 | + | 0.0258219i | 0.306681 | − | 0.951812i | \(-0.400781\pi\) |
−0.210312 | + | 0.977634i | \(0.567448\pi\) | |||||||
\(954\) | −3.76425 | + | 3.76425i | −0.121872 | + | 0.121872i | ||||
\(955\) | 31.9037 | + | 38.4259i | 1.03238 | + | 1.24343i | ||||
\(956\) | −9.96083 | − | 9.96083i | −0.322156 | − | 0.322156i | ||||
\(957\) | 0.592618 | − | 1.02644i | 0.0191566 | − | 0.0331803i | ||||
\(958\) | −3.51846 | + | 0.942768i | −0.113676 | + | 0.0304594i | ||||
\(959\) | 21.2802 | + | 12.2861i | 0.687174 | + | 0.396740i | ||||
\(960\) | −0.227547 | + | 0.0389020i | −0.00734405 | + | 0.00125556i | ||||
\(961\) | − | 17.3682i | − | 0.560263i | ||||||
\(962\) | −5.55502 | + | 1.15786i | −0.179101 | + | 0.0373309i | ||||
\(963\) | 10.7883 | + | 10.7883i | 0.347648 | + | 0.347648i | ||||
\(964\) | −19.3455 | − | 5.18360i | −0.623075 | − | 0.166953i | ||||
\(965\) | 3.73132 | − | 40.2350i | 0.120116 | − | 1.29521i | ||||
\(966\) | −1.80591 | − | 1.04264i | −0.0581042 | − | 0.0335465i | ||||
\(967\) | −11.4999 | − | 6.63945i | −0.369811 | − | 0.213510i | 0.303565 | − | 0.952811i | \(-0.401823\pi\) |
−0.673376 | + | 0.739300i | \(0.735156\pi\) | |||||||
\(968\) | −6.32710 | −0.203361 | ||||||||
\(969\) | 2.33798 | + | 1.34984i | 0.0751069 | + | 0.0433630i | ||||
\(970\) | −12.3696 | − | 26.8915i | −0.397165 | − | 0.863434i | ||||
\(971\) | 5.14679 | + | 8.91451i | 0.165168 | + | 0.286080i | 0.936715 | − | 0.350093i | \(-0.113850\pi\) |
−0.771547 | + | 0.636173i | \(0.780517\pi\) | |||||||
\(972\) | 1.96169 | − | 1.96169i | 0.0629212 | − | 0.0629212i | ||||
\(973\) | 0.984297 | − | 0.984297i | 0.0315551 | − | 0.0315551i | ||||
\(974\) | 1.01345 | − | 0.585117i | 0.0324731 | − | 0.0187484i | ||||
\(975\) | 0.434280 | + | 0.208041i | 0.0139081 | + | 0.00666265i | ||||
\(976\) | −5.08594 | − | 5.08594i | −0.162797 | − | 0.162797i | ||||
\(977\) | 0.595643 | + | 1.03168i | 0.0190563 | + | 0.0330065i | 0.875396 | − | 0.483406i | \(-0.160600\pi\) |
−0.856340 | + | 0.516412i | \(0.827267\pi\) | |||||||
\(978\) | 0.257964 | − | 0.962735i | 0.00824878 | − | 0.0307849i | ||||
\(979\) | −3.10146 | + | 11.5748i | −0.0991230 | + | 0.369932i | ||||
\(980\) | 4.71705 | + | 0.437451i | 0.150681 | + | 0.0139739i | ||||
\(981\) | 0.912048 | + | 3.40381i | 0.0291195 | + | 0.108675i | ||||
\(982\) | −8.94097 | − | 15.4862i | −0.285318 | − | 0.494185i | ||||
\(983\) | −22.6939 | − | 6.08082i | −0.723825 | − | 0.193948i | −0.121947 | − | 0.992537i | \(-0.538914\pi\) |
−0.601878 | + | 0.798588i | \(0.705580\pi\) | |||||||
\(984\) | −0.0190748 | + | 0.0711880i | −0.000608081 | + | 0.00226939i | ||||
\(985\) | 14.4784 | − | 39.1437i | 0.461320 | − | 1.24722i | ||||
\(986\) | 28.6481 | − | 7.67623i | 0.912341 | − | 0.244461i | ||||
\(987\) | 0.0765330 | − | 0.285625i | 0.00243607 | − | 0.00909154i | ||||
\(988\) | 3.08881 | + | 3.08881i | 0.0982683 | + | 0.0982683i | ||||
\(989\) | 16.3818 | 0.520911 | ||||||||
\(990\) | −11.7930 | − | 8.34943i | −0.374808 | − | 0.265362i | ||||
\(991\) | −18.4697 | − | 18.4697i | −0.586709 | − | 0.586709i | 0.350030 | − | 0.936739i | \(-0.386171\pi\) |
−0.936739 | + | 0.350030i | \(0.886171\pi\) | |||||||
\(992\) | 3.56633 | − | 0.955594i | 0.113231 | − | 0.0303401i | ||||
\(993\) | 2.71598i | 0.0861891i | ||||||||
\(994\) | 6.89589 | + | 25.7358i | 0.218724 | + | 0.816290i | ||||
\(995\) | −2.83768 | − | 3.41780i | −0.0899606 | − | 0.108352i | ||||
\(996\) | 0.0963742 | − | 0.166925i | 0.00305373 | − | 0.00528922i | ||||
\(997\) | −34.8040 | + | 20.0941i | −1.10225 | + | 0.636386i | −0.936812 | − | 0.349833i | \(-0.886238\pi\) |
−0.165442 | + | 0.986220i | \(0.552905\pi\) | |||||||
\(998\) | 3.94544 | − | 3.94544i | 0.124891 | − | 0.124891i | ||||
\(999\) | 3.14627 | + | 2.06091i | 0.0995434 | + | 0.0652043i |
(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 | 370.2.q.f.103.5 | yes | 32 | |
5.2 | odd | 4 | 370.2.r.f.177.5 | yes | 32 | ||
37.23 | odd | 12 | 370.2.r.f.23.5 | yes | 32 | ||
185.97 | even | 12 | inner | 370.2.q.f.97.5 | ✓ | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
370.2.q.f.97.5 | ✓ | 32 | 185.97 | even | 12 | inner | |
370.2.q.f.103.5 | yes | 32 | 1.1 | even | 1 | trivial | |
370.2.r.f.23.5 | yes | 32 | 37.23 | odd | 12 | ||
370.2.r.f.177.5 | yes | 32 | 5.2 | odd | 4 |