Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [666,2,Mod(17,666)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(666, base_ring=CyclotomicField(36))
chi = DirichletCharacter(H, H._module([18, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("666.17");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 666 = 2 \cdot 3^{2} \cdot 37 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 666.bs (of order \(36\), degree \(12\), 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: | \(5.31803677462\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{36})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{36}]$ |
Embedding invariants
Embedding label | 35.2 | ||
Character | \(\chi\) | \(=\) | 666.35 |
Dual form | 666.2.bs.a.647.2 |
$q$-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 \(\left(\mathbb{Z}/666\mathbb{Z}\right)^\times\).
\(n\) | \(371\) | \(631\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{19}{36}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.996195 | − | 0.0871557i | −0.704416 | − | 0.0616284i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.984808 | + | 0.173648i | 0.492404 | + | 0.0868241i | ||||
\(5\) | −0.567891 | + | 1.21785i | −0.253968 | + | 0.544637i | −0.991413 | − | 0.130771i | \(-0.958255\pi\) |
0.737444 | + | 0.675408i | \(0.236032\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.300852 | + | 0.109501i | −0.113712 | + | 0.0413876i | −0.398249 | − | 0.917277i | \(-0.630382\pi\) |
0.284538 | + | 0.958665i | \(0.408160\pi\) | |||||||
\(8\) | −0.965926 | − | 0.258819i | −0.341506 | − | 0.0915064i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0.671872 | − | 1.16372i | 0.212465 | − | 0.367999i | ||||
\(11\) | 0.282618 | + | 0.489509i | 0.0852126 | + | 0.147593i | 0.905482 | − | 0.424385i | \(-0.139510\pi\) |
−0.820269 | + | 0.571978i | \(0.806176\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 4.64189 | − | 3.25029i | 1.28743 | − | 0.901468i | 0.288991 | − | 0.957332i | \(-0.406680\pi\) |
0.998438 | + | 0.0558642i | \(0.0177914\pi\) | |||||||
\(14\) | 0.309251 | − | 0.0828636i | 0.0826509 | − | 0.0221462i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0.939693 | + | 0.342020i | 0.234923 | + | 0.0855050i | ||||
\(17\) | −2.15390 | − | 1.50818i | −0.522397 | − | 0.365787i | 0.282437 | − | 0.959286i | \(-0.408857\pi\) |
−0.804835 | + | 0.593499i | \(0.797746\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 0.251816 | + | 2.87827i | 0.0577705 | + | 0.660320i | 0.968778 | + | 0.247930i | \(0.0797503\pi\) |
−0.911007 | + | 0.412390i | \(0.864694\pi\) | |||||||
\(20\) | −0.770740 | + | 1.10073i | −0.172343 | + | 0.246131i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −0.238879 | − | 0.512278i | −0.0509292 | − | 0.109218i | ||||
\(23\) | 2.16883 | + | 8.09420i | 0.452233 | + | 1.68776i | 0.696097 | + | 0.717948i | \(0.254918\pi\) |
−0.243864 | + | 0.969810i | \(0.578415\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 2.05329 | + | 2.44702i | 0.410658 | + | 0.489403i | ||||
\(26\) | −4.90751 | + | 2.83335i | −0.962442 | + | 0.555666i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −0.315296 | + | 0.0555953i | −0.0595854 | + | 0.0105065i | ||||
\(29\) | −0.626757 | + | 2.33909i | −0.116386 | + | 0.434358i | −0.999387 | − | 0.0350131i | \(-0.988853\pi\) |
0.883001 | + | 0.469371i | \(0.155519\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 1.25519 | − | 1.25519i | 0.225439 | − | 0.225439i | −0.585345 | − | 0.810784i | \(-0.699041\pi\) |
0.810784 | + | 0.585345i | \(0.199041\pi\) | |||||||
\(32\) | −0.906308 | − | 0.422618i | −0.160214 | − | 0.0747091i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 2.01426 | + | 1.69016i | 0.345442 | + | 0.289861i | ||||
\(35\) | 0.0374956 | − | 0.428576i | 0.00633791 | − | 0.0724426i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 1.50742 | + | 5.89302i | 0.247818 | + | 0.968807i | ||||
\(38\) | − | 2.88926i | − | 0.468700i | ||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0.863742 | − | 1.02937i | 0.136570 | − | 0.162757i | ||||
\(41\) | 0.936762 | − | 5.31264i | 0.146298 | − | 0.829695i | −0.820018 | − | 0.572337i | \(-0.806037\pi\) |
0.966316 | − | 0.257358i | \(-0.0828520\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 0.271805 | + | 0.271805i | 0.0414499 | + | 0.0414499i | 0.727528 | − | 0.686078i | \(-0.240669\pi\) |
−0.686078 | + | 0.727528i | \(0.740669\pi\) | |||||||
\(44\) | 0.193322 | + | 0.531149i | 0.0291444 | + | 0.0800737i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −1.45513 | − | 8.25243i | −0.214547 | − | 1.21675i | ||||
\(47\) | 8.86683 | + | 5.11926i | 1.29336 | + | 0.746722i | 0.979248 | − | 0.202665i | \(-0.0649601\pi\) |
0.314111 | + | 0.949386i | \(0.398293\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −5.28379 | + | 4.43363i | −0.754827 | + | 0.633375i | ||||
\(50\) | −1.83221 | − | 2.61666i | −0.259113 | − | 0.370052i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 5.13578 | − | 2.39485i | 0.712204 | − | 0.332106i | ||||
\(53\) | −1.41455 | + | 3.88644i | −0.194303 | + | 0.533844i | −0.998137 | − | 0.0610101i | \(-0.980568\pi\) |
0.803834 | + | 0.594854i | \(0.202790\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −0.756643 | + | 0.0661977i | −0.102026 | + | 0.00892609i | ||||
\(56\) | 0.318942 | − | 0.0279038i | 0.0426204 | − | 0.00372880i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 0.828238 | − | 2.27556i | 0.108753 | − | 0.298796i | ||||
\(59\) | 2.87343 | − | 1.33990i | 0.374089 | − | 0.174441i | −0.226475 | − | 0.974017i | \(-0.572720\pi\) |
0.600565 | + | 0.799576i | \(0.294943\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −1.12444 | − | 1.60587i | −0.143970 | − | 0.205611i | 0.740690 | − | 0.671847i | \(-0.234499\pi\) |
−0.884660 | + | 0.466236i | \(0.845610\pi\) | |||||||
\(62\) | −1.35981 | + | 1.14102i | −0.172696 | + | 0.144909i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 0.866025 | + | 0.500000i | 0.108253 | + | 0.0625000i | ||||
\(65\) | 1.32226 | + | 7.49891i | 0.164006 | + | 0.930126i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 3.00284 | + | 8.25023i | 0.366855 | + | 1.00793i | 0.976550 | + | 0.215290i | \(0.0690696\pi\) |
−0.609695 | + | 0.792636i | \(0.708708\pi\) | |||||||
\(68\) | −1.85929 | − | 1.85929i | −0.225471 | − | 0.225471i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −0.0747058 | + | 0.423678i | −0.00892905 | + | 0.0506392i | ||||
\(71\) | 2.58354 | − | 3.07894i | 0.306610 | − | 0.365404i | −0.590633 | − | 0.806940i | \(-0.701122\pi\) |
0.897243 | + | 0.441537i | \(0.145566\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 2.39008i | 0.279738i | 0.990170 | + | 0.139869i | \(0.0446681\pi\) | ||||
−0.990170 | + | 0.139869i | \(0.955332\pi\) | |||||||
\(74\) | −0.988069 | − | 6.00198i | −0.114861 | − | 0.697716i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −0.251816 | + | 2.87827i | −0.0288853 | + | 0.330160i | ||||
\(77\) | −0.138628 | − | 0.116323i | −0.0157982 | − | 0.0132562i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 8.72743 | + | 4.06967i | 0.981913 | + | 0.457873i | 0.846195 | − | 0.532874i | \(-0.178888\pi\) |
0.135718 | + | 0.990747i | \(0.456666\pi\) | |||||||
\(80\) | −0.950170 | + | 0.950170i | −0.106232 | + | 0.106232i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −1.39623 | + | 5.21078i | −0.154187 | + | 0.575435i | ||||
\(83\) | 10.5661 | − | 1.86309i | 1.15978 | − | 0.204501i | 0.439540 | − | 0.898223i | \(-0.355141\pi\) |
0.720243 | + | 0.693722i | \(0.244030\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 3.05991 | − | 1.76664i | 0.331893 | − | 0.191619i | ||||
\(86\) | −0.247081 | − | 0.294460i | −0.0266435 | − | 0.0317524i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −0.146294 | − | 0.545977i | −0.0155950 | − | 0.0582013i | ||||
\(89\) | 0.359487 | + | 0.770922i | 0.0381055 | + | 0.0817175i | 0.924439 | − | 0.381330i | \(-0.124534\pi\) |
−0.886334 | + | 0.463047i | \(0.846756\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −1.04061 | + | 1.48615i | −0.109086 | + | 0.155791i | ||||
\(92\) | 0.730342 | + | 8.34784i | 0.0761434 | + | 0.870323i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −8.38691 | − | 5.87258i | −0.865044 | − | 0.605710i | ||||
\(95\) | −3.64829 | − | 1.32787i | −0.374307 | − | 0.136236i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 0.0722709 | − | 0.0193649i | 0.00733800 | − | 0.00196621i | −0.255148 | − | 0.966902i | \(-0.582124\pi\) |
0.262486 | + | 0.964936i | \(0.415458\pi\) | |||||||
\(98\) | 5.65010 | − | 3.95624i | 0.570746 | − | 0.399641i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 1.59718 | + | 2.76639i | 0.159718 | + | 0.276639i | ||||
\(101\) | 7.21194 | − | 12.4915i | 0.717615 | − | 1.24295i | −0.244327 | − | 0.969693i | \(-0.578567\pi\) |
0.961942 | − | 0.273253i | \(-0.0880996\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −4.10162 | − | 1.09903i | −0.404145 | − | 0.108290i | 0.0510196 | − | 0.998698i | \(-0.483753\pi\) |
−0.455165 | + | 0.890407i | \(0.650420\pi\) | |||||||
\(104\) | −5.32496 | + | 1.93813i | −0.522155 | + | 0.190049i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 1.74789 | − | 3.74836i | 0.169770 | − | 0.364073i | ||||
\(107\) | 2.50511 | + | 0.441719i | 0.242178 | + | 0.0427026i | 0.293420 | − | 0.955984i | \(-0.405207\pi\) |
−0.0512414 | + | 0.998686i | \(0.516318\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −17.6611 | − | 1.54515i | −1.69163 | − | 0.147998i | −0.799767 | − | 0.600311i | \(-0.795043\pi\) |
−0.891859 | + | 0.452313i | \(0.850599\pi\) | |||||||
\(110\) | 0.759533 | 0.0724186 | ||||||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −0.320160 | −0.0302523 | ||||||||
\(113\) | −7.22139 | − | 0.631790i | −0.679332 | − | 0.0594338i | −0.257733 | − | 0.966216i | \(-0.582975\pi\) |
−0.421599 | + | 0.906782i | \(0.638531\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −11.0891 | − | 1.95532i | −1.03407 | − | 0.182334i | ||||
\(116\) | −1.02341 | + | 2.19472i | −0.0950216 | + | 0.203775i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −2.97928 | + | 1.08437i | −0.274265 | + | 0.0998243i | ||||
\(119\) | 0.813153 | + | 0.217884i | 0.0745416 | + | 0.0199734i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 5.34025 | − | 9.24959i | 0.485478 | − | 0.840872i | ||||
\(122\) | 0.980205 | + | 1.69776i | 0.0887436 | + | 0.153708i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 1.45408 | − | 1.01816i | 0.130580 | − | 0.0914333i | ||||
\(125\) | −10.6359 | + | 2.84988i | −0.951305 | + | 0.254901i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −16.9264 | − | 6.16071i | −1.50198 | − | 0.546674i | −0.545404 | − | 0.838173i | \(-0.683624\pi\) |
−0.956571 | + | 0.291499i | \(0.905846\pi\) | |||||||
\(128\) | −0.819152 | − | 0.573576i | −0.0724035 | − | 0.0506975i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −0.663656 | − | 7.58562i | −0.0582065 | − | 0.665303i | ||||
\(131\) | 2.71167 | − | 3.87266i | 0.236919 | − | 0.338356i | −0.683032 | − | 0.730389i | \(-0.739339\pi\) |
0.919951 | + | 0.392032i | \(0.128228\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −0.390934 | − | 0.838360i | −0.0338982 | − | 0.0726950i | ||||
\(134\) | −2.27236 | − | 8.48055i | −0.196302 | − | 0.732608i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 1.69016 | + | 2.01426i | 0.144930 | + | 0.172721i | ||||
\(137\) | 6.69048 | − | 3.86275i | 0.571606 | − | 0.330017i | −0.186184 | − | 0.982515i | \(-0.559612\pi\) |
0.757791 | + | 0.652498i | \(0.226279\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 4.00842 | − | 0.706792i | 0.339989 | − | 0.0599493i | −0.00104680 | − | 0.999999i | \(-0.500333\pi\) |
0.341036 | + | 0.940050i | \(0.389222\pi\) | |||||||
\(140\) | 0.111347 | − | 0.415554i | 0.00941058 | − | 0.0351208i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −2.84206 | + | 2.84206i | −0.238500 | + | 0.238500i | ||||
\(143\) | 2.90293 | + | 1.35366i | 0.242755 | + | 0.113199i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −2.49272 | − | 2.09164i | −0.207009 | − | 0.173701i | ||||
\(146\) | 0.208309 | − | 2.38099i | 0.0172398 | − | 0.197052i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 0.461202 | + | 6.06525i | 0.0379106 | + | 0.498561i | ||||
\(149\) | − | 8.63606i | − | 0.707494i | −0.935341 | − | 0.353747i | \(-0.884907\pi\) | ||
0.935341 | − | 0.353747i | \(-0.115093\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −8.17184 | + | 9.73881i | −0.665015 | + | 0.792533i | −0.988096 | − | 0.153838i | \(-0.950837\pi\) |
0.323082 | + | 0.946371i | \(0.395281\pi\) | |||||||
\(152\) | 0.501715 | − | 2.84537i | 0.0406945 | − | 0.230790i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 0.127963 | + | 0.127963i | 0.0103115 | + | 0.0103115i | ||||
\(155\) | 0.815816 | + | 2.24144i | 0.0655279 | + | 0.180036i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −0.282457 | − | 1.60189i | −0.0225425 | − | 0.127845i | 0.971460 | − | 0.237204i | \(-0.0762311\pi\) |
−0.994002 | + | 0.109360i | \(0.965120\pi\) | |||||||
\(158\) | −8.33953 | − | 4.81483i | −0.663457 | − | 0.383047i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 1.02937 | − | 0.863742i | 0.0813786 | − | 0.0682848i | ||||
\(161\) | −1.53882 | − | 2.19767i | −0.121276 | − | 0.173201i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −14.1614 | + | 6.60357i | −1.10921 | + | 0.517231i | −0.888855 | − | 0.458189i | \(-0.848498\pi\) |
−0.220352 | + | 0.975420i | \(0.570721\pi\) | |||||||
\(164\) | 1.84506 | − | 5.06927i | 0.144075 | − | 0.395843i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −10.6883 | + | 0.935105i | −0.829573 | + | 0.0725782i | ||||
\(167\) | −10.6911 | + | 0.935349i | −0.827301 | + | 0.0723794i | −0.492937 | − | 0.870065i | \(-0.664077\pi\) |
−0.334363 | + | 0.942444i | \(0.608521\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 6.53653 | − | 17.9590i | 0.502810 | − | 1.38146i | ||||
\(170\) | −3.20223 | + | 1.49323i | −0.245600 | + | 0.114525i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 0.220477 | + | 0.314874i | 0.0168112 | + | 0.0240089i | ||||
\(173\) | 2.06272 | − | 1.73082i | 0.156825 | − | 0.131592i | −0.560999 | − | 0.827817i | \(-0.689583\pi\) |
0.717824 | + | 0.696225i | \(0.245138\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −0.885689 | − | 0.511353i | −0.0669518 | − | 0.0386546i | ||||
\(176\) | 0.0981523 | + | 0.556649i | 0.00739851 | + | 0.0419590i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −0.290929 | − | 0.799319i | −0.0218060 | − | 0.0599115i | ||||
\(179\) | 0.0370180 | + | 0.0370180i | 0.00276686 | + | 0.00276686i | 0.708489 | − | 0.705722i | \(-0.249377\pi\) |
−0.705722 | + | 0.708489i | \(0.749377\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 2.49707 | − | 14.1616i | 0.185606 | − | 1.05262i | −0.739569 | − | 0.673081i | \(-0.764971\pi\) |
0.925175 | − | 0.379542i | \(-0.123918\pi\) | |||||||
\(182\) | 1.16618 | − | 1.38980i | 0.0864430 | − | 0.103019i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | − | 8.37973i | − | 0.617762i | ||||||
\(185\) | −8.03283 | − | 1.51079i | −0.590586 | − | 0.111076i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 0.129535 | − | 1.48059i | 0.00947254 | − | 0.108272i | ||||
\(188\) | 7.84317 | + | 6.58120i | 0.572022 | + | 0.479983i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 3.51868 | + | 1.64079i | 0.255272 | + | 0.119035i | ||||
\(191\) | 10.1724 | − | 10.1724i | 0.736048 | − | 0.736048i | −0.235763 | − | 0.971811i | \(-0.575759\pi\) |
0.971811 | + | 0.235763i | \(0.0757589\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 0.883727 | − | 3.29811i | 0.0636120 | − | 0.237403i | −0.926798 | − | 0.375559i | \(-0.877451\pi\) |
0.990411 | + | 0.138156i | \(0.0441174\pi\) | |||||||
\(194\) | −0.0736837 | + | 0.0129924i | −0.00529018 | + | 0.000932801i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −5.97341 | + | 3.44875i | −0.426672 | + | 0.246339i | ||||
\(197\) | −15.4444 | − | 18.4059i | −1.10036 | − | 1.31136i | −0.946295 | − | 0.323303i | \(-0.895207\pi\) |
−0.154069 | − | 0.988060i | \(-0.549238\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −4.53278 | − | 16.9166i | −0.321321 | − | 1.19918i | −0.917959 | − | 0.396675i | \(-0.870164\pi\) |
0.596639 | − | 0.802510i | \(-0.296503\pi\) | |||||||
\(200\) | −1.34999 | − | 2.89507i | −0.0954589 | − | 0.204712i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −8.27320 | + | 11.8154i | −0.582100 | + | 0.831325i | ||||
\(203\) | −0.0675720 | − | 0.772352i | −0.00474263 | − | 0.0542085i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 5.93800 | + | 4.15783i | 0.414728 | + | 0.290396i | ||||
\(206\) | 3.99023 | + | 1.45232i | 0.278012 | + | 0.101188i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 5.47362 | − | 1.46665i | 0.379527 | − | 0.101694i | ||||
\(209\) | −1.33777 | + | 0.936718i | −0.0925356 | + | 0.0647941i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 8.36729 | + | 14.4926i | 0.576028 | + | 0.997709i | 0.995929 | + | 0.0901396i | \(0.0287313\pi\) |
−0.419901 | + | 0.907570i | \(0.637935\pi\) | |||||||
\(212\) | −2.06793 | + | 3.58176i | −0.142026 | + | 0.245996i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −2.45708 | − | 0.658373i | −0.167963 | − | 0.0450054i | ||||
\(215\) | −0.485372 | + | 0.176661i | −0.0331021 | + | 0.0120482i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −0.240182 | + | 0.515071i | −0.0163046 | + | 0.0349653i | ||||
\(218\) | 17.4592 | + | 3.07853i | 1.18249 | + | 0.208504i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −0.756643 | − | 0.0661977i | −0.0510128 | − | 0.00446305i | ||||
\(221\) | −14.9002 | −1.00229 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 9.00870 | 0.603267 | 0.301634 | − | 0.953424i | \(-0.402468\pi\) | ||||
0.301634 | + | 0.953424i | \(0.402468\pi\) | |||||||
\(224\) | 0.318942 | + | 0.0279038i | 0.0213102 | + | 0.00186440i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 7.13885 | + | 1.25877i | 0.474869 | + | 0.0837323i | ||||
\(227\) | −7.20810 | + | 15.4578i | −0.478418 | + | 1.02597i | 0.507945 | + | 0.861389i | \(0.330405\pi\) |
−0.986363 | + | 0.164582i | \(0.947373\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 6.36118 | − | 2.31528i | 0.420359 | − | 0.152998i | −0.123176 | − | 0.992385i | \(-0.539308\pi\) |
0.543535 | + | 0.839387i | \(0.317086\pi\) | |||||||
\(230\) | 10.8765 | + | 2.91436i | 0.717177 | + | 0.192167i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 1.21080 | − | 2.09717i | 0.0794931 | − | 0.137686i | ||||
\(233\) | −12.2642 | − | 21.2421i | −0.803451 | − | 1.39162i | −0.917332 | − | 0.398124i | \(-0.869661\pi\) |
0.113880 | − | 0.993494i | \(-0.463672\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −11.2699 | + | 7.89124i | −0.735165 | + | 0.514768i | ||||
\(236\) | 3.06245 | − | 0.820582i | 0.199349 | − | 0.0534153i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −0.791069 | − | 0.287926i | −0.0512774 | − | 0.0186634i | ||||
\(239\) | 7.65713 | + | 5.36158i | 0.495298 | + | 0.346812i | 0.794385 | − | 0.607414i | \(-0.207793\pi\) |
−0.299087 | + | 0.954226i | \(0.596682\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −0.471855 | − | 5.39333i | −0.0303949 | − | 0.347415i | −0.996130 | − | 0.0878869i | \(-0.971989\pi\) |
0.965736 | − | 0.259528i | \(-0.0835670\pi\) | |||||||
\(242\) | −6.12609 | + | 8.74896i | −0.393800 | + | 0.562404i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −0.828505 | − | 1.77673i | −0.0530396 | − | 0.113744i | ||||
\(245\) | −2.39886 | − | 8.95265i | −0.153257 | − | 0.571964i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 10.5241 | + | 12.5421i | 0.669633 | + | 0.798037i | ||||
\(248\) | −1.53729 | + | 0.887553i | −0.0976178 | + | 0.0563596i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 10.8438 | − | 1.91206i | 0.685824 | − | 0.120929i | ||||
\(251\) | −4.81689 | + | 17.9769i | −0.304039 | + | 1.13469i | 0.629730 | + | 0.776814i | \(0.283166\pi\) |
−0.933769 | + | 0.357876i | \(0.883501\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −3.34923 | + | 3.34923i | −0.210565 | + | 0.210565i | ||||
\(254\) | 16.3251 | + | 7.61250i | 1.02432 | + | 0.477651i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0.766044 | + | 0.642788i | 0.0478778 | + | 0.0401742i | ||||
\(257\) | −1.61793 | + | 18.4930i | −0.100924 | + | 1.15356i | 0.761775 | + | 0.647842i | \(0.224328\pi\) |
−0.862698 | + | 0.505719i | \(0.831227\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −1.09880 | − | 1.60787i | −0.0682763 | − | 0.0999079i | ||||
\(260\) | 7.61460i | 0.472237i | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −3.03887 | + | 3.62159i | −0.187742 | + | 0.223742i | ||||
\(263\) | 1.00848 | − | 5.71935i | 0.0621853 | − | 0.352670i | −0.937800 | − | 0.347177i | \(-0.887140\pi\) |
0.999985 | − | 0.00549322i | \(-0.00174855\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −3.92977 | − | 3.92977i | −0.241404 | − | 0.241404i | ||||
\(266\) | 0.316378 | + | 0.869242i | 0.0193984 | + | 0.0532966i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 1.52458 | + | 8.64632i | 0.0931286 | + | 0.528158i | ||||
\(269\) | 3.23672 | + | 1.86872i | 0.197346 | + | 0.113938i | 0.595417 | − | 0.803417i | \(-0.296987\pi\) |
−0.398071 | + | 0.917355i | \(0.630320\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 22.7876 | − | 19.1211i | 1.38425 | − | 1.16152i | 0.416642 | − | 0.909071i | \(-0.363207\pi\) |
0.967609 | − | 0.252454i | \(-0.0812376\pi\) | |||||||
\(272\) | −1.50818 | − | 2.15390i | −0.0914467 | − | 0.130599i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −7.00168 | + | 3.26494i | −0.422987 | + | 0.197242i | ||||
\(275\) | −0.617540 | + | 1.69668i | −0.0372390 | + | 0.102313i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 18.3587 | − | 1.60618i | 1.10307 | − | 0.0965058i | 0.478954 | − | 0.877840i | \(-0.341016\pi\) |
0.624113 | + | 0.781334i | \(0.285461\pi\) | |||||||
\(278\) | −4.05476 | + | 0.354746i | −0.243189 | + | 0.0212762i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −0.147142 | + | 0.404268i | −0.00879340 | + | 0.0241597i | ||||
\(281\) | −3.44017 | + | 1.60418i | −0.205224 | + | 0.0956973i | −0.522513 | − | 0.852632i | \(-0.675005\pi\) |
0.317289 | + | 0.948329i | \(0.397227\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 11.6333 | + | 16.6141i | 0.691529 | + | 0.987605i | 0.999346 | + | 0.0361599i | \(0.0115126\pi\) |
−0.307817 | + | 0.951445i | \(0.599599\pi\) | |||||||
\(284\) | 3.07894 | − | 2.58354i | 0.182702 | − | 0.153305i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −2.77390 | − | 1.60151i | −0.164024 | − | 0.0946995i | ||||
\(287\) | 0.299914 | + | 1.70090i | 0.0177034 | + | 0.100401i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −3.44966 | − | 9.47785i | −0.202921 | − | 0.557521i | ||||
\(290\) | 2.30094 | + | 2.30094i | 0.135116 | + | 0.135116i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −0.415033 | + | 2.35377i | −0.0242880 | + | 0.137744i | ||||
\(293\) | −15.5494 | + | 18.5311i | −0.908407 | + | 1.08260i | 0.0878476 | + | 0.996134i | \(0.472001\pi\) |
−0.996255 | + | 0.0864638i | \(0.972443\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 4.26032i | 0.248045i | ||||||||
\(296\) | 0.0691745 | − | 6.08237i | 0.00402068 | − | 0.353531i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −0.752682 | + | 8.60320i | −0.0436017 | + | 0.498370i | ||||
\(299\) | 36.3760 | + | 30.5231i | 2.10368 | + | 1.76519i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −0.111536 | − | 0.0520101i | −0.00642884 | − | 0.00299782i | ||||
\(302\) | 8.98953 | − | 8.98953i | 0.517289 | − | 0.517289i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −0.747796 | + | 2.79081i | −0.0428891 | + | 0.160064i | ||||
\(305\) | 2.59427 | − | 0.457439i | 0.148547 | − | 0.0261929i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −23.2551 | + | 13.4264i | −1.32724 | + | 0.766282i | −0.984872 | − | 0.173284i | \(-0.944562\pi\) |
−0.342368 | + | 0.939566i | \(0.611229\pi\) | |||||||
\(308\) | −0.116323 | − | 0.138628i | −0.00662812 | − | 0.00789908i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −0.617358 | − | 2.30401i | −0.0350636 | − | 0.130859i | ||||
\(311\) | −8.92059 | − | 19.1303i | −0.505840 | − | 1.08478i | −0.979011 | − | 0.203807i | \(-0.934668\pi\) |
0.473171 | − | 0.880971i | \(-0.343109\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −2.79327 | + | 3.98921i | −0.157885 | + | 0.225483i | −0.890299 | − | 0.455376i | \(-0.849505\pi\) |
0.732414 | + | 0.680860i | \(0.238394\pi\) | |||||||
\(314\) | 0.141768 | + | 1.62041i | 0.00800042 | + | 0.0914453i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 7.88815 | + | 5.52334i | 0.443743 | + | 0.310712i | ||||
\(317\) | 15.3820 | + | 5.59858i | 0.863938 | + | 0.314448i | 0.735710 | − | 0.677297i | \(-0.236849\pi\) |
0.128228 | + | 0.991745i | \(0.459071\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −1.32214 | + | 0.354266i | −0.0740256 | + | 0.0198351i | ||||
\(320\) | −1.10073 | + | 0.770740i | −0.0615327 | + | 0.0430857i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 1.34143 | + | 2.32342i | 0.0747549 | + | 0.129479i | ||||
\(323\) | 3.79855 | − | 6.57929i | 0.211357 | − | 0.366081i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 17.4847 | + | 4.68500i | 0.969875 | + | 0.259877i | ||||
\(326\) | 14.6831 | − | 5.34419i | 0.813219 | − | 0.295987i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −2.27986 | + | 4.88917i | −0.125884 | + | 0.269959i | ||||
\(329\) | −3.22817 | − | 0.569214i | −0.177975 | − | 0.0313818i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −5.70439 | − | 0.499069i | −0.313542 | − | 0.0274313i | −0.0707010 | − | 0.997498i | \(-0.522524\pi\) |
−0.242841 | + | 0.970066i | \(0.578079\pi\) | |||||||
\(332\) | 10.7291 | 0.588837 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 10.7319 | 0.587225 | ||||||||
\(335\) | −11.7528 | − | 1.02824i | −0.642123 | − | 0.0561785i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 32.3095 | + | 5.69704i | 1.76001 | + | 0.310338i | 0.957957 | − | 0.286912i | \(-0.0926288\pi\) |
0.802055 | + | 0.597250i | \(0.203740\pi\) | |||||||
\(338\) | −8.07688 | + | 17.3209i | −0.439324 | + | 0.942134i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 3.32019 | − | 1.20845i | 0.180063 | − | 0.0655375i | ||||
\(341\) | 0.969166 | + | 0.259687i | 0.0524833 | + | 0.0140629i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 2.22471 | − | 3.85332i | 0.120123 | − | 0.208060i | ||||
\(344\) | −0.192195 | − | 0.332892i | −0.0103625 | − | 0.0179483i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −2.20572 | + | 1.54446i | −0.118580 | + | 0.0830307i | ||||
\(347\) | −13.0391 | + | 3.49382i | −0.699976 | + | 0.187558i | −0.591220 | − | 0.806510i | \(-0.701354\pi\) |
−0.108756 | + | 0.994068i | \(0.534687\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −33.9025 | − | 12.3395i | −1.81476 | − | 0.660518i | −0.996299 | − | 0.0859552i | \(-0.972606\pi\) |
−0.818460 | − | 0.574563i | \(-0.805172\pi\) | |||||||
\(350\) | 0.837751 | + | 0.586600i | 0.0447797 | + | 0.0313551i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −0.0492636 | − | 0.563086i | −0.00262576 | − | 0.0300126i | ||||
\(353\) | −7.88954 | + | 11.2674i | −0.419918 | + | 0.599704i | −0.972257 | − | 0.233915i | \(-0.924846\pi\) |
0.552340 | + | 0.833619i | \(0.313735\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 2.28251 | + | 4.89486i | 0.121143 | + | 0.259792i | ||||
\(356\) | 0.220156 | + | 0.821634i | 0.0116683 | + | 0.0435465i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −0.0336508 | − | 0.0401035i | −0.00177850 | − | 0.00211954i | ||||
\(359\) | 7.22780 | − | 4.17297i | 0.381469 | − | 0.220241i | −0.296988 | − | 0.954881i | \(-0.595982\pi\) |
0.678457 | + | 0.734640i | \(0.262649\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 10.4903 | − | 1.84973i | 0.552123 | − | 0.0973541i | ||||
\(362\) | −3.72183 | + | 13.8901i | −0.195615 | + | 0.730046i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −1.28287 | + | 1.28287i | −0.0672407 | + | 0.0672407i | ||||
\(365\) | −2.91075 | − | 1.35730i | −0.152356 | − | 0.0710446i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 22.9179 | + | 19.2304i | 1.19630 | + | 1.00382i | 0.999728 | + | 0.0233299i | \(0.00742680\pi\) |
0.196576 | + | 0.980489i | \(0.437018\pi\) | |||||||
\(368\) | −0.730342 | + | 8.34784i | −0.0380717 | + | 0.435161i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 7.87059 | + | 2.20515i | 0.409173 | + | 0.114640i | ||||
\(371\) | − | 1.32414i | − | 0.0687459i | ||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 11.9905 | − | 14.2897i | 0.620845 | − | 0.739894i | −0.360370 | − | 0.932809i | \(-0.617350\pi\) |
0.981215 | + | 0.192915i | \(0.0617941\pi\) | |||||||
\(374\) | −0.258084 | + | 1.46367i | −0.0133452 | + | 0.0756845i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −7.23973 | − | 7.23973i | −0.373361 | − | 0.373361i | ||||
\(377\) | 4.69338 | + | 12.8949i | 0.241721 | + | 0.664124i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 1.47405 | + | 8.35976i | 0.0757170 | + | 0.429412i | 0.998976 | + | 0.0452351i | \(0.0144037\pi\) |
−0.923259 | + | 0.384177i | \(0.874485\pi\) | |||||||
\(380\) | −3.36228 | − | 1.94121i | −0.172481 | − | 0.0995822i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −11.0203 | + | 9.24709i | −0.563845 | + | 0.473122i | ||||
\(383\) | −17.5903 | − | 25.1215i | −0.898821 | − | 1.28365i | −0.958401 | − | 0.285426i | \(-0.907865\pi\) |
0.0595799 | − | 0.998224i | \(-0.481024\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0.220389 | − | 0.102769i | 0.0112321 | − | 0.00523760i | ||||
\(386\) | −1.16781 | + | 3.20854i | −0.0594401 | + | 0.163310i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 0.0745356 | − | 0.00652102i | 0.00378397 | − | 0.000331055i | ||||
\(389\) | 26.5904 | − | 2.32635i | 1.34818 | − | 0.117951i | 0.609920 | − | 0.792463i | \(-0.291201\pi\) |
0.738264 | + | 0.674512i | \(0.235646\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 7.53603 | − | 20.7051i | 0.381114 | − | 1.04710i | ||||
\(392\) | 6.25126 | − | 2.91501i | 0.315736 | − | 0.147230i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 13.7814 | + | 19.6819i | 0.694297 | + | 0.991559i | ||||
\(395\) | −9.91245 | + | 8.31754i | −0.498750 | + | 0.418501i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 19.6924 | + | 11.3694i | 0.988332 | + | 0.570614i | 0.904775 | − | 0.425889i | \(-0.140039\pi\) |
0.0835565 | + | 0.996503i | \(0.473372\pi\) | |||||||
\(398\) | 3.04116 | + | 17.2473i | 0.152440 | + | 0.864527i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 1.09253 | + | 3.00171i | 0.0546267 | + | 0.150086i | ||||
\(401\) | −23.9897 | − | 23.9897i | −1.19799 | − | 1.19799i | −0.974768 | − | 0.223219i | \(-0.928344\pi\) |
−0.223219 | − | 0.974768i | \(-0.571656\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 1.74673 | − | 9.90618i | 0.0870106 | − | 0.493462i | ||||
\(404\) | 9.27149 | − | 11.0493i | 0.461274 | − | 0.549725i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0.775302i | 0.0384776i | ||||||||
\(407\) | −2.45867 | + | 2.40337i | −0.121872 | + | 0.119131i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 0.173891 | − | 1.98758i | 0.00859835 | − | 0.0982795i | −0.990683 | − | 0.136189i | \(-0.956514\pi\) |
0.999281 | + | 0.0379099i | \(0.0120700\pi\) | |||||||
\(410\) | −5.55302 | − | 4.65954i | −0.274244 | − | 0.230118i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −3.84847 | − | 1.79457i | −0.189600 | − | 0.0884121i | ||||
\(413\) | −0.717758 | + | 0.717758i | −0.0353186 | + | 0.0353186i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −3.73145 | + | 13.9259i | −0.183169 | + | 0.683598i | ||||
\(416\) | −5.58061 | + | 0.984013i | −0.273612 | + | 0.0482452i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 1.41432 | − | 0.816559i | 0.0691767 | − | 0.0399392i | ||||
\(419\) | 9.86964 | + | 11.7622i | 0.482163 | + | 0.574620i | 0.951206 | − | 0.308555i | \(-0.0998455\pi\) |
−0.469043 | + | 0.883175i | \(0.655401\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −2.12716 | − | 7.93868i | −0.103672 | − | 0.386908i | 0.894519 | − | 0.447029i | \(-0.147518\pi\) |
−0.998191 | + | 0.0601212i | \(0.980851\pi\) | |||||||
\(422\) | −7.07234 | − | 15.1667i | −0.344276 | − | 0.738302i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 2.37223 | − | 3.38790i | 0.115206 | − | 0.164531i | ||||
\(425\) | −0.732049 | − | 8.36735i | −0.0355096 | − | 0.405876i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 0.514137 | + | 0.360003i | 0.0248808 | + | 0.0174217i | ||||
\(428\) | 2.39035 | + | 0.870016i | 0.115542 | + | 0.0420538i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 0.498922 | − | 0.133686i | 0.0240601 | − | 0.00644689i | ||||
\(431\) | −16.6780 | + | 11.6781i | −0.803352 | + | 0.562513i | −0.901561 | − | 0.432653i | \(-0.857578\pi\) |
0.0982084 | + | 0.995166i | \(0.468689\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −12.7507 | − | 22.0848i | −0.612758 | − | 1.06133i | −0.990773 | − | 0.135529i | \(-0.956727\pi\) |
0.378015 | − | 0.925800i | \(-0.376607\pi\) | |||||||
\(434\) | 0.284159 | − | 0.492178i | 0.0136401 | − | 0.0236253i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −17.1245 | − | 4.58849i | −0.820113 | − | 0.219749i | ||||
\(437\) | −22.7511 | + | 8.28074i | −1.08833 | + | 0.396121i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 8.87287 | − | 19.0279i | 0.423479 | − | 0.908153i | −0.572613 | − | 0.819826i | \(-0.694070\pi\) |
0.996092 | − | 0.0883272i | \(-0.0281521\pi\) | |||||||
\(440\) | 0.747994 | + | 0.131892i | 0.0356592 | + | 0.00628768i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 14.8435 | + | 1.29864i | 0.706032 | + | 0.0617698i | ||||
\(443\) | 38.8660 | 1.84658 | 0.923290 | − | 0.384102i | \(-0.125489\pi\) | ||||
0.923290 | + | 0.384102i | \(0.125489\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −1.14301 | −0.0541840 | ||||||||
\(446\) | −8.97442 | − | 0.785160i | −0.424951 | − | 0.0371784i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −0.315296 | − | 0.0555953i | −0.0148964 | − | 0.00262663i | ||||
\(449\) | 1.10232 | − | 2.36393i | 0.0520217 | − | 0.111561i | −0.878579 | − | 0.477598i | \(-0.841508\pi\) |
0.930600 | + | 0.366037i | \(0.119286\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 2.86533 | − | 1.04290i | 0.134923 | − | 0.0491081i | ||||
\(452\) | −7.00198 | − | 1.87617i | −0.329345 | − | 0.0882478i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 8.52791 | − | 14.7708i | 0.400234 | − | 0.693226i | ||||
\(455\) | −1.21895 | − | 2.11128i | −0.0571451 | − | 0.0989782i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −25.3523 | + | 17.7519i | −1.18593 | + | 0.830399i | −0.988693 | − | 0.149956i | \(-0.952087\pi\) |
−0.197240 | + | 0.980355i | \(0.563198\pi\) | |||||||
\(458\) | −6.53877 | + | 1.75206i | −0.305536 | + | 0.0818683i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −10.5811 | − | 3.85122i | −0.493348 | − | 0.179564i | ||||
\(461\) | −11.5515 | − | 8.08847i | −0.538009 | − | 0.376718i | 0.272762 | − | 0.962081i | \(-0.412063\pi\) |
−0.810771 | + | 0.585364i | \(0.800952\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −3.30542 | − | 37.7812i | −0.153616 | − | 1.75584i | −0.547616 | − | 0.836730i | \(-0.684464\pi\) |
0.394000 | − | 0.919111i | \(-0.371091\pi\) | |||||||
\(464\) | −1.38898 | + | 1.98366i | −0.0644816 | + | 0.0920892i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 10.3661 | + | 22.2302i | 0.480201 | + | 1.02979i | ||||
\(467\) | 7.12829 | + | 26.6032i | 0.329858 | + | 1.23105i | 0.909337 | + | 0.416060i | \(0.136589\pi\) |
−0.579479 | + | 0.814987i | \(0.696744\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −1.80682 | − | 2.15329i | −0.0834313 | − | 0.0994295i | ||||
\(470\) | 11.9147 | − | 6.87898i | 0.549586 | − | 0.317304i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −3.12232 | + | 0.550549i | −0.143716 | + | 0.0253411i | ||||
\(473\) | −0.0562340 | + | 0.209868i | −0.00258564 | + | 0.00964974i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −6.52612 | + | 6.52612i | −0.299439 | + | 0.299439i | ||||
\(476\) | 0.762965 | + | 0.355776i | 0.0349704 | + | 0.0163070i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −7.16070 | − | 6.00854i | −0.327523 | − | 0.274824i | ||||
\(479\) | 2.09024 | − | 23.8915i | 0.0955054 | − | 1.09163i | −0.785607 | − | 0.618725i | \(-0.787649\pi\) |
0.881113 | − | 0.472906i | \(-0.156795\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 26.1513 | + | 22.4552i | 1.19240 | + | 1.02387i | ||||
\(482\) | 5.41393i | 0.246598i | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 6.86530 | − | 8.18174i | 0.312059 | − | 0.371897i | ||||
\(485\) | −0.0174585 | + | 0.0990120i | −0.000792749 | + | 0.00449590i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −3.99266 | − | 3.99266i | −0.180925 | − | 0.180925i | 0.610834 | − | 0.791759i | \(-0.290834\pi\) |
−0.791759 | + | 0.610834i | \(0.790834\pi\) | |||||||
\(488\) | 0.670499 | + | 1.84218i | 0.0303521 | + | 0.0833917i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 1.60945 | + | 9.12766i | 0.0727077 | + | 0.412346i | ||||
\(491\) | −1.20206 | − | 0.694012i | −0.0542484 | − | 0.0313203i | 0.472631 | − | 0.881261i | \(-0.343305\pi\) |
−0.526879 | + | 0.849940i | \(0.676638\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 4.87774 | − | 4.09291i | 0.219682 | − | 0.184335i | ||||
\(494\) | −9.39094 | − | 13.4116i | −0.422518 | − | 0.603419i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 1.60879 | − | 0.750192i | 0.0722369 | − | 0.0336846i | ||||
\(497\) | −0.440116 | + | 1.20921i | −0.0197419 | + | 0.0542404i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −20.2000 | + | 1.76727i | −0.904275 | + | 0.0791138i | −0.529799 | − | 0.848123i | \(-0.677733\pi\) |
−0.374476 | + | 0.927237i | \(0.622177\pi\) | |||||||
\(500\) | −10.9692 | + | 0.959681i | −0.490558 | + | 0.0429183i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 6.36535 | − | 17.4887i | 0.284099 | − | 0.780557i | ||||
\(503\) | −3.11463 | + | 1.45238i | −0.138875 | + | 0.0647583i | −0.490813 | − | 0.871265i | \(-0.663300\pi\) |
0.351939 | + | 0.936023i | \(0.385523\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 11.1171 | + | 15.8768i | 0.494703 | + | 0.706509i | ||||
\(506\) | 3.62839 | − | 3.04458i | 0.161302 | − | 0.135348i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −15.5995 | − | 9.00635i | −0.692114 | − | 0.399592i | ||||
\(509\) | 7.26120 | + | 41.1803i | 0.321847 | + | 1.82529i | 0.530963 | + | 0.847395i | \(0.321830\pi\) |
−0.209116 | + | 0.977891i | \(0.567059\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −0.261717 | − | 0.719062i | −0.0115777 | − | 0.0318094i | ||||
\(512\) | −0.707107 | − | 0.707107i | −0.0312500 | − | 0.0312500i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 3.22354 | − | 18.2816i | 0.142184 | − | 0.806368i | ||||
\(515\) | 3.66772 | − | 4.37102i | 0.161619 | − | 0.192610i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 5.78719i | 0.254520i | ||||||||
\(518\) | 0.954487 | + | 1.69751i | 0.0419378 | + | 0.0745845i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 0.663656 | − | 7.58562i | 0.0291032 | − | 0.332651i | ||||
\(521\) | 8.39229 | + | 7.04197i | 0.367673 | + | 0.308514i | 0.807840 | − | 0.589402i | \(-0.200636\pi\) |
−0.440167 | + | 0.897916i | \(0.645081\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 26.3212 | + | 12.2738i | 1.15095 | + | 0.536695i | 0.901963 | − | 0.431813i | \(-0.142126\pi\) |
0.248983 | + | 0.968508i | \(0.419904\pi\) | |||||||
\(524\) | 3.34295 | − | 3.34295i | 0.146037 | − | 0.146037i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −1.50311 | + | 5.60969i | −0.0655388 | + | 0.244594i | ||||
\(527\) | −4.59660 | + | 0.810504i | −0.200231 | + | 0.0353061i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −40.8936 | + | 23.6100i | −1.77798 | + | 1.02652i | ||||
\(530\) | 3.57232 | + | 4.25732i | 0.155172 | + | 0.184926i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −0.239415 | − | 0.893508i | −0.0103799 | − | 0.0387385i | ||||
\(533\) | −12.9193 | − | 27.7055i | −0.559596 | − | 1.20006i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −1.96057 | + | 2.79999i | −0.0847630 | + | 0.121054i | ||||
\(536\) | −0.765202 | − | 8.74630i | −0.0330517 | − | 0.377783i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −3.06153 | − | 2.14371i | −0.131992 | − | 0.0924219i | ||||
\(539\) | −3.66360 | − | 1.33344i | −0.157802 | − | 0.0574353i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −23.7252 | + | 6.35716i | −1.02003 | + | 0.273316i | −0.729814 | − | 0.683646i | \(-0.760393\pi\) |
−0.290214 | + | 0.956962i | \(0.593727\pi\) | |||||||
\(542\) | −24.3674 | + | 17.0623i | −1.04667 | + | 0.732887i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 1.31471 | + | 2.27715i | 0.0563679 | + | 0.0976320i | ||||
\(545\) | 11.9113 | − | 20.6310i | 0.510225 | − | 0.883735i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −7.51774 | − | 2.01437i | −0.321435 | − | 0.0861283i | 0.0944936 | − | 0.995525i | \(-0.469877\pi\) |
−0.415929 | + | 0.909397i | \(0.636543\pi\) | |||||||
\(548\) | 7.25960 | − | 2.64228i | 0.310115 | − | 0.112872i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 0.763065 | − | 1.63640i | 0.0325372 | − | 0.0697762i | ||||
\(551\) | −6.89036 | − | 1.21496i | −0.293539 | − | 0.0517589i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −3.07130 | − | 0.268704i | −0.130605 | − | 0.0114265i | ||||
\(554\) | −18.4288 | −0.782965 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 4.07025 | 0.172617 | ||||||||
\(557\) | −13.6665 | − | 1.19566i | −0.579067 | − | 0.0506618i | −0.206140 | − | 0.978523i | \(-0.566090\pi\) |
−0.372927 | + | 0.927861i | \(0.621646\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 2.14513 | + | 0.378245i | 0.0907294 | + | 0.0159980i | ||||
\(560\) | 0.181816 | − | 0.389906i | 0.00768313 | − | 0.0164765i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 3.56690 | − | 1.29824i | 0.150460 | − | 0.0547631i | ||||
\(563\) | 31.9455 | + | 8.55978i | 1.34634 | + | 0.360752i | 0.858784 | − | 0.512338i | \(-0.171221\pi\) |
0.487559 | + | 0.873090i | \(0.337887\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 4.87038 | − | 8.43575i | 0.204899 | − | 0.354895i | ||||
\(566\) | −10.1410 | − | 17.5648i | −0.426259 | − | 0.738303i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −3.29240 | + | 2.30536i | −0.138146 | + | 0.0967309i | ||||
\(569\) | −11.2532 | + | 3.01527i | −0.471757 | + | 0.126407i | −0.486862 | − | 0.873479i | \(-0.661858\pi\) |
0.0151049 | + | 0.999886i | \(0.495192\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −33.5074 | − | 12.1957i | −1.40224 | − | 0.510374i | −0.473398 | − | 0.880849i | \(-0.656973\pi\) |
−0.928842 | + | 0.370475i | \(0.879195\pi\) | |||||||
\(572\) | 2.62377 | + | 1.83718i | 0.109705 | + | 0.0768164i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −0.150530 | − | 1.72056i | −0.00628300 | − | 0.0718150i | ||||
\(575\) | −15.3534 | + | 21.9269i | −0.640281 | + | 0.914416i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −0.734870 | − | 1.57593i | −0.0305930 | − | 0.0656070i | 0.890417 | − | 0.455145i | \(-0.150413\pi\) |
−0.921010 | + | 0.389538i | \(0.872635\pi\) | |||||||
\(578\) | 2.61048 | + | 9.74244i | 0.108582 | + | 0.405232i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −2.09164 | − | 2.49272i | −0.0868507 | − | 0.103505i | ||||
\(581\) | −2.97483 | + | 1.71752i | −0.123417 | + | 0.0712548i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −2.30223 | + | 0.405945i | −0.0953484 | + | 0.0168125i | ||||
\(584\) | 0.618599 | − | 2.30864i | 0.0255978 | − | 0.0955323i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 17.1053 | − | 17.1053i | 0.706615 | − | 0.706615i | ||||
\(587\) | −3.70691 | − | 1.72856i | −0.153001 | − | 0.0713454i | 0.344610 | − | 0.938746i | \(-0.388011\pi\) |
−0.497610 | + | 0.867401i | \(0.665789\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 3.92885 | + | 3.29669i | 0.161885 | + | 0.135838i | ||||
\(590\) | 0.371311 | − | 4.24411i | 0.0152866 | − | 0.174727i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −0.599025 | + | 6.05319i | −0.0246198 | + | 0.248785i | ||||
\(593\) | − | 29.7574i | − | 1.22199i | −0.791634 | − | 0.610995i | \(-0.790769\pi\) | ||
0.791634 | − | 0.610995i | \(-0.209231\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −0.727131 | + | 0.866561i | −0.0298095 | + | 0.0355255i | ||||
\(596\) | 1.49964 | − | 8.50486i | 0.0614275 | − | 0.348373i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −33.5773 | − | 33.5773i | −1.37308 | − | 1.37308i | ||||
\(599\) | −9.28681 | − | 25.5153i | −0.379449 | − | 1.04253i | −0.971585 | − | 0.236689i | \(-0.923938\pi\) |
0.592137 | − | 0.805838i | \(-0.298285\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −6.25074 | − | 35.4497i | −0.254973 | − | 1.44602i | −0.796142 | − | 0.605110i | \(-0.793129\pi\) |
0.541169 | − | 0.840914i | \(-0.317982\pi\) | |||||||
\(602\) | 0.106579 | + | 0.0615332i | 0.00434382 | + | 0.00250791i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −9.73881 | + | 8.17184i | −0.396267 | + | 0.332507i | ||||
\(605\) | 8.23189 | + | 11.7564i | 0.334674 | + | 0.477964i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −15.8759 | + | 7.40307i | −0.644385 | + | 0.300481i | −0.717204 | − | 0.696864i | \(-0.754578\pi\) |
0.0728190 | + | 0.997345i | \(0.476800\pi\) | |||||||
\(608\) | 0.988186 | − | 2.71502i | 0.0400762 | − | 0.110109i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −2.62426 | + | 0.229593i | −0.106253 | + | 0.00929596i | ||||
\(611\) | 57.7979 | − | 5.05666i | 2.33825 | − | 0.204571i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 10.3470 | − | 28.4280i | 0.417910 | − | 1.14820i | −0.534976 | − | 0.844867i | \(-0.679679\pi\) |
0.952885 | − | 0.303330i | \(-0.0980985\pi\) | |||||||
\(614\) | 24.3368 | − | 11.3484i | 0.982154 | − | 0.457986i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0.103798 | + | 0.148239i | 0.00418214 | + | 0.00597272i | ||||
\(617\) | 9.22456 | − | 7.74032i | 0.371367 | − | 0.311614i | −0.437935 | − | 0.899006i | \(-0.644290\pi\) |
0.809302 | + | 0.587393i | \(0.199846\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −26.4238 | − | 15.2558i | −1.06206 | − | 0.613181i | −0.136059 | − | 0.990701i | \(-0.543444\pi\) |
−0.926002 | + | 0.377520i | \(0.876777\pi\) | |||||||
\(620\) | 0.414201 | + | 2.34905i | 0.0166347 | + | 0.0943401i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 7.21933 | + | 19.8350i | 0.289469 | + | 0.795309i | ||||
\(623\) | −0.192569 | − | 0.192569i | −0.00771513 | − | 0.00771513i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −0.204151 | + | 1.15780i | −0.00816604 | + | 0.0463119i | ||||
\(626\) | 3.13033 | − | 3.73058i | 0.125113 | − | 0.149104i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | − | 1.62660i | − | 0.0649086i | ||||||
\(629\) | 5.64090 | − | 14.9664i | 0.224917 | − | 0.596751i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 0.0923775 | − | 1.05588i | 0.00367749 | − | 0.0420339i | −0.994134 | − | 0.108153i | \(-0.965506\pi\) |
0.997812 | + | 0.0661194i | \(0.0210618\pi\) | |||||||
\(632\) | −7.37674 | − | 6.18982i | −0.293431 | − | 0.246218i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −14.8355 | − | 6.91790i | −0.589193 | − | 0.274745i | ||||
\(635\) | 17.1151 | − | 17.1151i | 0.679193 | − | 0.679193i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −10.1162 | + | 37.7542i | −0.400819 | + | 1.49588i | ||||
\(638\) | 1.34798 | − | 0.237686i | 0.0533672 | − | 0.00941008i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 1.16372 | − | 0.671872i | 0.0459999 | − | 0.0265581i | ||||
\(641\) | −8.94400 | − | 10.6590i | −0.353267 | − | 0.421007i | 0.559921 | − | 0.828546i | \(-0.310831\pi\) |
−0.913188 | + | 0.407539i | \(0.866387\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 5.41944 | + | 20.2256i | 0.213722 | + | 0.797621i | 0.986613 | + | 0.163082i | \(0.0521435\pi\) |
−0.772891 | + | 0.634539i | \(0.781190\pi\) | |||||||
\(644\) | −1.13383 | − | 2.43150i | −0.0446790 | − | 0.0958144i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −4.35752 | + | 6.22318i | −0.171444 | + | 0.244848i | ||||
\(647\) | −0.421540 | − | 4.81822i | −0.0165724 | − | 0.189424i | −0.999968 | − | 0.00795095i | \(-0.997469\pi\) |
0.983396 | − | 0.181473i | \(-0.0580864\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 1.46798 | + | 1.02789i | 0.0576233 | + | 0.0403483i | ||||
\(650\) | −17.0098 | − | 6.19106i | −0.667179 | − | 0.242833i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −15.0930 | + | 4.04414i | −0.591086 | + | 0.158381i | ||||
\(653\) | 41.1655 | − | 28.8244i | 1.61093 | − | 1.12799i | 0.701051 | − | 0.713111i | \(-0.252715\pi\) |
0.909879 | − | 0.414874i | \(-0.136174\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 3.17637 | + | 5.50164i | 0.124111 | + | 0.214967i | ||||
\(656\) | 2.69730 | − | 4.67186i | 0.105312 | − | 0.182405i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 3.16628 | + | 0.848402i | 0.123434 | + | 0.0330741i | ||||
\(659\) | −1.80489 | + | 0.656927i | −0.0703086 | + | 0.0255902i | −0.376935 | − | 0.926240i | \(-0.623022\pi\) |
0.306626 | + | 0.951830i | \(0.400800\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −0.336726 | + | 0.722112i | −0.0130971 | + | 0.0280869i | −0.912748 | − | 0.408524i | \(-0.866044\pi\) |
0.899650 | + | 0.436611i | \(0.143821\pi\) | |||||||
\(662\) | 5.63919 | + | 0.994340i | 0.219173 | + | 0.0386461i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −10.6883 | − | 0.935105i | −0.414787 | − | 0.0362891i | ||||
\(665\) | 1.24300 | 0.0482015 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −20.2924 | −0.785725 | ||||||||
\(668\) | −10.6911 | − | 0.935349i | −0.413650 | − | 0.0361897i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 11.6184 | + | 2.04865i | 0.448860 | + | 0.0791461i | ||||
\(671\) | 0.468301 | − | 1.00428i | 0.0180786 | − | 0.0387696i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −17.1155 | + | 6.22952i | −0.659753 | + | 0.240130i | −0.650130 | − | 0.759823i | \(-0.725285\pi\) |
−0.00962308 | + | 0.999954i | \(0.503063\pi\) | |||||||
\(674\) | −31.6901 | − | 8.49132i | −1.22066 | − | 0.327074i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 9.55577 | − | 16.5511i | 0.367529 | − | 0.636580i | ||||
\(677\) | 8.66748 | + | 15.0125i | 0.333118 | + | 0.576978i | 0.983122 | − | 0.182953i | \(-0.0585658\pi\) |
−0.650003 | + | 0.759932i | \(0.725232\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −0.0196224 | + | 0.0137397i | −0.000753038 | + | 0.000527283i | ||||
\(680\) | −3.41288 | + | 0.914479i | −0.130878 | + | 0.0350687i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −0.942845 | − | 0.343167i | −0.0361034 | − | 0.0131406i | ||||
\(683\) | −35.2204 | − | 24.6616i | −1.34767 | − | 0.943649i | −0.999982 | − | 0.00603844i | \(-0.998078\pi\) |
−0.347688 | − | 0.937610i | \(-0.613033\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 0.904772 | + | 10.3416i | 0.0345696 | + | 0.395132i | ||||
\(686\) | −2.55209 | + | 3.64476i | −0.0974392 | + | 0.139158i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 0.162450 | + | 0.348376i | 0.00619336 | + | 0.0132817i | ||||
\(689\) | 6.06587 | + | 22.6381i | 0.231091 | + | 0.862444i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 11.0444 | + | 13.1622i | 0.420149 | + | 0.500714i | 0.934053 | − | 0.357134i | \(-0.116246\pi\) |
−0.513905 | + | 0.857847i | \(0.671801\pi\) | |||||||
\(692\) | 2.33193 | − | 1.34634i | 0.0886468 | − | 0.0511802i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 13.2940 | − | 2.34409i | 0.504634 | − | 0.0889805i | ||||
\(695\) | −1.41558 | + | 5.28301i | −0.0536960 | + | 0.200396i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −10.0301 | + | 10.0301i | −0.379917 | + | 0.379917i | ||||
\(698\) | 32.6980 | + | 15.2473i | 1.23764 | + | 0.577120i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −0.783438 | − | 0.657382i | −0.0296112 | − | 0.0248467i | ||||
\(701\) | −0.0362584 | + | 0.414435i | −0.00136946 | + | 0.0156530i | −0.996849 | − | 0.0793266i | \(-0.974723\pi\) |
0.995479 | + | 0.0949796i | \(0.0302786\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −16.5821 | + | 5.82270i | −0.625406 | + | 0.219607i | ||||
\(704\) | 0.565237i | 0.0213032i | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 8.84153 | − | 10.5369i | 0.332756 | − | 0.396563i | ||||
\(707\) | −0.801900 | + | 4.54780i | −0.0301585 | + | 0.171038i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −27.8967 | − | 27.8967i | −1.04768 | − | 1.04768i | −0.998805 | − | 0.0488765i | \(-0.984436\pi\) |
−0.0488765 | − | 0.998805i | \(-0.515564\pi\) | |||||||
\(710\) | −1.84721 | − | 5.07516i | −0.0693245 | − | 0.190468i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −0.147708 | − | 0.837695i | −0.00553560 | − | 0.0313940i | ||||
\(713\) | 12.8820 | + | 7.43745i | 0.482436 | + | 0.278535i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −3.29709 | + | 2.76659i | −0.123304 | + | 0.103465i | ||||
\(716\) | 0.0300275 | + | 0.0428838i | 0.00112218 | + | 0.00160264i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −7.56400 | + | 3.52715i | −0.282286 | + | 0.131632i | ||||
\(719\) | 0.340840 | − | 0.936449i | 0.0127112 | − | 0.0349236i | −0.933175 | − | 0.359423i | \(-0.882974\pi\) |
0.945886 | + | 0.324499i | \(0.105196\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 1.35433 | − | 0.118488i | 0.0504378 | − | 0.00441274i | ||||
\(722\) | −10.6116 | + | 0.928397i | −0.394924 | + | 0.0345513i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 4.91827 | − | 13.5128i | 0.182786 | − | 0.502200i | ||||
\(725\) | −7.01071 | + | 3.26915i | −0.260371 | + | 0.121413i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 18.6950 | + | 26.6993i | 0.693360 | + | 0.990221i | 0.999272 | + | 0.0381610i | \(0.0121500\pi\) |
−0.305911 | + | 0.952060i | \(0.598961\pi\) | |||||||
\(728\) | 1.38980 | − | 1.16618i | 0.0515094 | − | 0.0432215i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 2.78138 | + | 1.60583i | 0.102943 | + | 0.0594344i | ||||
\(731\) | −0.175511 | − | 0.995370i | −0.00649150 | − | 0.0368151i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 7.08822 | + | 19.4747i | 0.261809 | + | 0.719315i | 0.999046 | + | 0.0436803i | \(0.0139083\pi\) |
−0.737236 | + | 0.675635i | \(0.763869\pi\) | |||||||
\(734\) | −21.1546 | − | 21.1546i | −0.780832 | − | 0.780832i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 1.45513 | − | 8.25243i | 0.0536366 | − | 0.304188i | ||||
\(737\) | −3.18991 | + | 3.80158i | −0.117502 | + | 0.140033i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 20.5449i | 0.755757i | 0.925855 | + | 0.377879i | \(0.123346\pi\) | ||||
−0.925855 | + | 0.377879i | \(0.876654\pi\) | |||||||
\(740\) | −7.64845 | − | 2.88273i | −0.281163 | − | 0.105971i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −0.115406 | + | 1.31910i | −0.00423670 | + | 0.0484257i | ||||
\(743\) | 41.5683 | + | 34.8799i | 1.52499 | + | 1.27962i | 0.824289 | + | 0.566169i | \(0.191575\pi\) |
0.700704 | + | 0.713452i | \(0.252870\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 10.5174 | + | 4.90434i | 0.385327 | + | 0.179681i | ||||
\(746\) | −13.1903 | + | 13.1903i | −0.482932 | + | 0.482932i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 0.384669 | − | 1.43561i | 0.0140649 | − | 0.0524909i | ||||
\(749\) | −0.802037 | + | 0.141421i | −0.0293058 | + | 0.00516740i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −10.3895 | + | 5.99836i | −0.379117 | + | 0.218883i | −0.677434 | − | 0.735584i | \(-0.736908\pi\) |
0.298317 | + | 0.954467i | \(0.403575\pi\) | |||||||
\(752\) | 6.58120 | + | 7.84317i | 0.239992 | + | 0.286011i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −3.55165 | − | 13.2549i | −0.129343 | − | 0.482716i | ||||
\(755\) | −7.21966 | − | 15.4826i | −0.262750 | − | 0.563470i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −12.9138 | + | 18.4428i | −0.469359 | + | 0.670314i | −0.982128 | − | 0.188212i | \(-0.939731\pi\) |
0.512769 | + | 0.858526i | \(0.328620\pi\) | |||||||
\(758\) | −0.739841 | − | 8.45643i | −0.0268722 | − | 0.307151i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 3.18030 | + | 2.22687i | 0.115362 | + | 0.0807771i | ||||
\(761\) | 48.9755 | + | 17.8256i | 1.77536 | + | 0.646178i | 0.999891 | + | 0.0147925i | \(0.00470876\pi\) |
0.775469 | + | 0.631386i | \(0.217513\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 5.48258 | − | 1.46905i | 0.198483 | − | 0.0531833i | ||||
\(764\) | 11.7843 | − | 8.25143i | 0.426339 | − | 0.298526i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 15.3339 | + | 26.5590i | 0.554035 | + | 0.959616i | ||||
\(767\) | 8.98310 | − | 15.5592i | 0.324361 | − | 0.561809i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 2.62040 | + | 0.702134i | 0.0944940 | + | 0.0253196i | 0.305756 | − | 0.952110i | \(-0.401091\pi\) |
−0.211262 | + | 0.977429i | \(0.567757\pi\) | |||||||
\(770\) | −0.228507 | + | 0.0831699i | −0.00823483 | + | 0.00299723i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 1.44301 | − | 3.09455i | 0.0519352 | − | 0.111375i | ||||
\(773\) | 39.4788 | + | 6.96117i | 1.41995 | + | 0.250376i | 0.830316 | − | 0.557293i | \(-0.188160\pi\) |
0.589636 | + | 0.807669i | \(0.299271\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 5.64874 | + | 0.494200i | 0.202909 | + | 0.0177522i | ||||
\(776\) | −0.0748204 | −0.00268589 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −26.6919 | −0.956952 | ||||||||
\(779\) | 15.5271 | + | 1.35845i | 0.556316 | + | 0.0486714i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 2.23733 | + | 0.394501i | 0.0800579 | + | 0.0141164i | ||||
\(782\) | −9.31192 | + | 19.9695i | −0.332994 | + | 0.714107i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −6.48153 | + | 2.35908i | −0.231483 | + | 0.0842530i | ||||
\(785\) | 2.11126 | + | 0.565711i | 0.0753542 | + | 0.0201911i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 20.3172 | − | 35.1904i | 0.724230 | − | 1.25440i | −0.235060 | − | 0.971981i | \(-0.575529\pi\) |
0.959290 | − | 0.282423i | \(-0.0911381\pi\) | |||||||
\(788\) | −12.0136 | − | 20.8081i | −0.427966 | − | 0.741259i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 10.5997 | − | 7.42196i | 0.377119 | − | 0.264061i | ||||
\(791\) | 2.24176 | − | 0.600677i | 0.0797077 | − | 0.0213576i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −10.4391 | − | 3.79952i | −0.370703 | − | 0.134925i | ||||
\(794\) | −18.6265 | − | 13.0424i | −0.661031 | − | 0.462859i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −1.52639 | − | 17.4467i | −0.0541014 | − | 0.618382i | ||||
\(797\) | −9.94549 | + | 14.2036i | −0.352287 | + | 0.503119i | −0.955713 | − | 0.294301i | \(-0.904913\pi\) |
0.603425 | + | 0.797419i | \(0.293802\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −11.3775 | − | 24.3991i | −0.402507 | − | 0.863179i | ||||
\(800\) | −0.826759 | − | 3.08551i | −0.0292304 | − | 0.109089i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 21.8076 | + | 25.9892i | 0.770051 | + | 0.917711i | ||||
\(803\) | −1.16997 | + | 0.675481i | −0.0412872 | + | 0.0238372i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 3.55030 | − | 0.626015i | 0.125132 | − | 0.0220641i | ||||
\(806\) | −2.60346 | + | 9.71624i | −0.0917030 | + | 0.342240i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −10.1992 | + | 10.1992i | −0.358808 | + | 0.358808i | ||||
\(809\) | 32.8694 | + | 15.3272i | 1.15563 | + | 0.538877i | 0.903403 | − | 0.428792i | \(-0.141061\pi\) |
0.252223 | + | 0.967669i | \(0.418838\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 0.106839 | + | 0.0896482i | 0.00375161 | + | 0.00314797i | 0.644661 | − | 0.764468i | \(-0.276998\pi\) |
−0.640910 | + | 0.767616i | \(0.721443\pi\) | |||||||
\(812\) | 0.0675720 | − | 0.772352i | 0.00237131 | − | 0.0271042i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 2.65878 | − | 2.17994i | 0.0931901 | − | 0.0764068i | ||||
\(815\) | − | 20.9965i | − | 0.735475i | ||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −0.713883 | + | 0.850772i | −0.0249756 | + | 0.0297648i | ||||
\(818\) | −0.346458 | + | 1.96486i | −0.0121136 | + | 0.0686998i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 5.12579 | + | 5.12579i | 0.179000 | + | 0.179000i | ||||
\(821\) | −4.83985 | − | 13.2974i | −0.168912 | − | 0.464081i | 0.826137 | − | 0.563469i | \(-0.190534\pi\) |
−0.995049 | + | 0.0993881i | \(0.968311\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −8.64839 | − | 49.0475i | −0.301464 | − | 1.70969i | −0.639699 | − | 0.768626i | \(-0.720941\pi\) |
0.338235 | − | 0.941062i | \(-0.390170\pi\) | |||||||
\(824\) | 3.67742 | + | 2.12316i | 0.128109 | + | 0.0739637i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 0.777584 | − | 0.652470i | 0.0270556 | − | 0.0227023i | ||||
\(827\) | 14.9044 | + | 21.2857i | 0.518277 | + | 0.740176i | 0.989922 | − | 0.141612i | \(-0.0452287\pi\) |
−0.471645 | + | 0.881788i | \(0.656340\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −30.4593 | + | 14.2034i | −1.05790 | + | 0.493305i | −0.872122 | − | 0.489288i | \(-0.837257\pi\) |
−0.185773 | + | 0.982593i | \(0.559479\pi\) | |||||||
\(830\) | 4.93097 | − | 13.5477i | 0.171157 | − | 0.470249i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 5.64514 | − | 0.493886i | 0.195710 | − | 0.0171224i | ||||
\(833\) | 18.0674 | − | 1.58070i | 0.626000 | − | 0.0547679i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 4.93226 | − | 13.5513i | 0.170688 | − | 0.468961i | ||||
\(836\) | −1.48011 | + | 0.690185i | −0.0511906 | + | 0.0238706i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −8.80694 | − | 12.5776i | −0.304231 | − | 0.434486i | ||||
\(839\) | −33.0205 | + | 27.7074i | −1.13999 | + | 0.956567i | −0.999439 | − | 0.0335057i | \(-0.989333\pi\) |
−0.140554 | + | 0.990073i | \(0.544888\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 20.0362 | + | 11.5679i | 0.690904 | + | 0.398894i | ||||
\(842\) | 1.42717 | + | 8.09387i | 0.0491834 | + | 0.278933i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 5.72356 | + | 15.7254i | 0.197013 | + | 0.541289i | ||||
\(845\) | 18.1592 | + | 18.1592i | 0.624696 | + | 0.624696i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −0.593786 | + | 3.36753i | −0.0204027 | + | 0.115710i | ||||
\(848\) | −2.65848 | + | 3.16825i | −0.0912926 | + | 0.108798i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 8.39932i | 0.288094i | ||||||||
\(851\) | −44.4300 | + | 24.9823i | −1.52304 | + | 0.856383i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −0.993072 | + | 11.3509i | −0.0340022 | + | 0.388646i | 0.960057 | + | 0.279805i | \(0.0902697\pi\) |
−0.994059 | + | 0.108842i | \(0.965286\pi\) | |||||||
\(854\) | −0.480804 | − | 0.403443i | −0.0164528 | − | 0.0138055i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −2.30543 | − | 1.07504i | −0.0787978 | − | 0.0367440i | ||||
\(857\) | −3.75675 | + | 3.75675i | −0.128328 | + | 0.128328i | −0.768354 | − | 0.640026i | \(-0.778924\pi\) |
0.640026 | + | 0.768354i | \(0.278924\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −2.54261 | + | 9.48914i | −0.0867527 | + | 0.323765i | −0.995640 | − | 0.0932757i | \(-0.970266\pi\) |
0.908888 | + | 0.417041i | \(0.136933\pi\) | |||||||
\(860\) | −0.508675 | + | 0.0896931i | −0.0173457 | + | 0.00305851i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 17.6324 | − | 10.1801i | 0.600561 | − | 0.346734i | ||||
\(863\) | −35.6768 | − | 42.5179i | −1.21445 | − | 1.44733i | −0.858492 | − | 0.512826i | \(-0.828598\pi\) |
−0.355960 | − | 0.934501i | \(-0.615846\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 0.936479 | + | 3.49499i | 0.0318412 | + | 0.118833i | ||||
\(866\) | 10.7773 | + | 23.1121i | 0.366229 | + | 0.785380i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −0.325974 | + | 0.465539i | −0.0110643 | + | 0.0158014i | ||||
\(869\) | 0.474392 | + | 5.42232i | 0.0160926 | + | 0.183940i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 40.7545 | + | 28.5366i | 1.38091 | + | 0.966925i | ||||
\(872\) | 16.6594 | + | 6.06352i | 0.564158 | + | 0.205337i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 23.3863 | − | 6.26633i | 0.791053 | − | 0.211962i | ||||
\(875\) | 2.88777 | − | 2.02204i | 0.0976246 | − | 0.0683575i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 17.7762 | + | 30.7893i | 0.600260 | + | 1.03968i | 0.992781 | + | 0.119938i | \(0.0382695\pi\) |
−0.392522 | + | 0.919743i | \(0.628397\pi\) | |||||||
\(878\) | −10.4975 | + | 18.1822i | −0.354273 | + | 0.613619i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −0.733653 | − | 0.196582i | −0.0247314 | − | 0.00662677i | ||||
\(881\) | −47.7113 | + | 17.3655i | −1.60743 | + | 0.585058i | −0.980930 | − | 0.194361i | \(-0.937737\pi\) |
−0.626503 | + | 0.779419i | \(0.715514\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 18.6533 | − | 40.0022i | 0.627734 | − | 1.34618i | −0.293046 | − | 0.956098i | \(-0.594669\pi\) |
0.920780 | − | 0.390082i | \(-0.127553\pi\) | |||||||
\(884\) | −14.6738 | − | 2.58739i | −0.493534 | − | 0.0870233i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −38.7181 | − | 3.38740i | −1.30076 | − | 0.113802i | ||||
\(887\) | −44.9585 | −1.50956 | −0.754779 | − | 0.655979i | \(-0.772256\pi\) | ||||
−0.754779 | + | 0.655979i | \(0.772256\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 5.76695 | 0.193417 | ||||||||
\(890\) | 1.13866 | + | 0.0996201i | 0.0381681 | + | 0.00333927i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 8.87184 | + | 1.56434i | 0.297051 | + | 0.0523781i | ||||
\(893\) | −12.5018 | + | 26.8102i | −0.418357 | + | 0.897170i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −0.0661045 | + | 0.0240601i | −0.00220963 | + | 0.000804239i | ||||
\(896\) | 0.309251 | + | 0.0828636i | 0.0103314 | + | 0.00276828i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −1.30416 | + | 2.25886i | −0.0435202 | + | 0.0753793i | ||||
\(899\) | 2.14930 | + | 3.72270i | 0.0716832 | + | 0.124159i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 8.90824 | − | 6.23761i | 0.296776 | − | 0.207805i | ||||
\(902\) | −2.94533 | + | 0.789198i | −0.0980686 | + | 0.0262774i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 6.81181 | + | 2.47930i | 0.226558 | + | 0.0824602i | ||||
\(905\) | 15.8286 | + | 11.0833i | 0.526159 | + | 0.368421i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 1.69659 | + | 19.3922i | 0.0563345 | + | 0.643906i | 0.970903 | + | 0.239474i | \(0.0769751\pi\) |
−0.914568 | + | 0.404432i | \(0.867469\pi\) | |||||||
\(908\) | −9.78281 | + | 13.9713i | −0.324654 | + | 0.463654i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 1.03030 | + | 2.20948i | 0.0341540 | + | 0.0732436i | ||||
\(911\) | −3.12019 | − | 11.6447i | −0.103377 | − | 0.385807i | 0.894779 | − | 0.446509i | \(-0.147333\pi\) |
−0.998156 | + | 0.0607018i | \(0.980666\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 3.89818 | + | 4.64567i | 0.129011 | + | 0.153749i | ||||
\(914\) | 26.8031 | − | 15.4747i | 0.886566 | − | 0.511859i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 6.66659 | − | 1.17550i | 0.220270 | − | 0.0388396i | ||||
\(917\) | −0.391750 | + | 1.46203i | −0.0129367 | + | 0.0482805i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 19.8908 | − | 19.8908i | 0.656136 | − | 0.656136i | −0.298328 | − | 0.954463i | \(-0.596429\pi\) |
0.954463 | + | 0.298328i | \(0.0964289\pi\) | |||||||
\(920\) | 10.2052 | + | 4.75877i | 0.336456 | + | 0.156892i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 10.8026 | + | 9.06447i | 0.355765 | + | 0.298523i | ||||
\(923\) | 1.98506 | − | 22.6894i | 0.0653392 | − | 0.746830i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −11.3252 | + | 15.7888i | −0.372369 | + | 0.519131i | ||||
\(926\) | 37.9255i | 1.24631i | ||||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 1.55658 | − | 1.85506i | 0.0510972 | − | 0.0608952i | ||||
\(929\) | −1.68072 | + | 9.53184i | −0.0551426 | + | 0.312729i | −0.999886 | − | 0.0150807i | \(-0.995199\pi\) |
0.944744 | + | 0.327810i | \(0.106311\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −14.0917 | − | 14.0917i | −0.461837 | − | 0.461837i | ||||
\(932\) | −8.38917 | − | 23.0491i | −0.274797 | − | 0.754997i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −4.78255 | − | 27.1232i | −0.156490 | − | 0.887498i | ||||
\(935\) | 1.72957 | + | 0.998568i | 0.0565630 | + | 0.0326567i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 43.4445 | − | 36.4543i | 1.41927 | − | 1.19091i | 0.467540 | − | 0.883972i | \(-0.345140\pi\) |
0.951730 | − | 0.306937i | \(-0.0993042\pi\) | |||||||
\(938\) | 1.61227 | + | 2.30257i | 0.0526426 | + | 0.0751815i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −12.4689 | + | 5.81436i | −0.406692 | + | 0.189644i | ||||
\(941\) | 17.9406 | − | 49.2914i | 0.584847 | − | 1.60685i | −0.194945 | − | 0.980814i | \(-0.562453\pi\) |
0.779792 | − | 0.626039i | \(-0.215325\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 45.0333 | − | 3.93990i | 1.46649 | − | 0.128301i | ||||
\(944\) | 3.15842 | − | 0.276326i | 0.102798 | − | 0.00899364i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 0.0743112 | − | 0.204168i | 0.00241606 | − | 0.00663808i | ||||
\(947\) | −38.2864 | + | 17.8533i | −1.24414 | + | 0.580153i | −0.929417 | − | 0.369030i | \(-0.879690\pi\) |
−0.314725 | + | 0.949183i | \(0.601912\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 7.76845 | + | 11.0945i | 0.252175 | + | 0.360143i | ||||
\(950\) | 7.07008 | − | 5.93250i | 0.229384 | − | 0.192476i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −0.729053 | − | 0.420919i | −0.0236288 | − | 0.0136421i | ||||
\(953\) | 5.81738 | + | 32.9920i | 0.188443 | + | 1.06872i | 0.921451 | + | 0.388495i | \(0.127005\pi\) |
−0.733007 | + | 0.680221i | \(0.761884\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 6.61159 | + | 18.1652i | 0.213946 | + | 0.587812i | ||||
\(956\) | 6.60977 | + | 6.60977i | 0.213775 | + | 0.213775i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −4.16457 | + | 23.6184i | −0.134551 | + | 0.763077i | ||||
\(959\) | −1.58987 | + | 1.89473i | −0.0513396 | + | 0.0611842i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 27.8490i | 0.898355i | ||||||||
\(962\) | −24.0947 | − | 24.6490i | −0.776843 | − | 0.794716i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 0.471855 | − | 5.39333i | 0.0151974 | − | 0.173707i | ||||
\(965\) | 3.51473 | + | 2.94921i | 0.113143 | + | 0.0949384i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 51.4018 | + | 23.9691i | 1.65297 | + | 0.770793i | 0.999909 | + | 0.0134894i | \(0.00429393\pi\) |
0.653063 | + | 0.757304i | \(0.273484\pi\) | |||||||
\(968\) | −7.55226 | + | 7.55226i | −0.242739 | + | 0.242739i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 0.0260215 | − | 0.0971136i | 0.000835500 | − | 0.00311813i | ||||
\(971\) | 21.1770 | − | 3.73407i | 0.679601 | − | 0.119832i | 0.176817 | − | 0.984244i | \(-0.443420\pi\) |
0.502784 | + | 0.864412i | \(0.332309\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −1.12855 | + | 0.651567i | −0.0361796 | + | 0.0208883i | ||||
\(974\) | 3.62949 | + | 4.32546i | 0.116296 | + | 0.138597i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −0.507391 | − | 1.89361i | −0.0162412 | − | 0.0606130i | ||||
\(977\) | −13.3534 | − | 28.6365i | −0.427213 | − | 0.916162i | −0.995627 | − | 0.0934187i | \(-0.970220\pi\) |
0.568414 | − | 0.822743i | \(-0.307557\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −0.275776 | + | 0.393849i | −0.00881383 | + | 0.0125875i | ||||
\(980\) | −0.807800 | − | 9.23320i | −0.0258042 | − | 0.294944i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 1.13700 | + | 0.796137i | 0.0362832 | + | 0.0254058i | ||||
\(983\) | −47.1611 | − | 17.1652i | −1.50421 | − | 0.547486i | −0.547061 | − | 0.837093i | \(-0.684253\pi\) |
−0.957146 | + | 0.289606i | \(0.906476\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 31.1862 | − | 8.35632i | 0.993675 | − | 0.266254i | ||||
\(986\) | −5.21589 | + | 3.65221i | −0.166108 | + | 0.116310i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 8.18630 | + | 14.1791i | 0.260441 | + | 0.451097i | ||||
\(989\) | −1.61054 | + | 2.78954i | −0.0512123 | + | 0.0887023i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −43.1429 | − | 11.5601i | −1.37048 | − | 0.367219i | −0.502826 | − | 0.864388i | \(-0.667706\pi\) |
−0.867654 | + | 0.497169i | \(0.834373\pi\) | |||||||
\(992\) | −1.66805 | + | 0.607122i | −0.0529607 | + | 0.0192761i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 0.543831 | − | 1.16625i | 0.0172493 | − | 0.0369912i | ||||
\(995\) | 23.1759 | + | 4.08654i | 0.734726 | + | 0.129552i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −53.1166 | − | 4.64710i | −1.68222 | − | 0.147175i | −0.794409 | − | 0.607383i | \(-0.792219\pi\) |
−0.887811 | + | 0.460208i | \(0.847775\pi\) | |||||||
\(998\) | 20.2771 | 0.641862 | ||||||||
\(999\) | 0 | 0 |
(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 | 666.2.bs.a.35.2 | ✓ | 72 | |
3.2 | odd | 2 | inner | 666.2.bs.a.35.5 | yes | 72 | |
37.18 | odd | 36 | inner | 666.2.bs.a.647.5 | yes | 72 | |
111.92 | even | 36 | inner | 666.2.bs.a.647.2 | yes | 72 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
666.2.bs.a.35.2 | ✓ | 72 | 1.1 | even | 1 | trivial | |
666.2.bs.a.35.5 | yes | 72 | 3.2 | odd | 2 | inner | |
666.2.bs.a.647.2 | yes | 72 | 111.92 | even | 36 | inner | |
666.2.bs.a.647.5 | yes | 72 | 37.18 | odd | 36 | inner |