Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [138,2,Mod(13,138)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(138, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 14]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("138.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 138 = 2 \cdot 3 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 138.e (of order \(11\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.10193554789\) |
Analytic rank: | \(0\) |
Dimension: | \(10\) |
Coefficient field: | \(\Q(\zeta_{22})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{10} - x^{9} + x^{8} - x^{7} + x^{6} - x^{5} + x^{4} - x^{3} + x^{2} - x + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 85.1 | ||
Root | \(0.654861 - 0.755750i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 138.85 |
Dual form | 138.2.e.b.13.1 |
$q$-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 \(\left(\mathbb{Z}/138\mathbb{Z}\right)^\times\).
\(n\) | \(47\) | \(97\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{4}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.654861 | + | 0.755750i | −0.463056 | + | 0.534396i | ||||
\(3\) | −0.841254 | + | 0.540641i | −0.485698 | + | 0.312139i | ||||
\(4\) | −0.142315 | − | 0.989821i | −0.0711574 | − | 0.494911i | ||||
\(5\) | −1.61435 | − | 3.53494i | −0.721961 | − | 1.58087i | −0.811136 | − | 0.584858i | \(-0.801150\pi\) |
0.0891748 | − | 0.996016i | \(-0.471577\pi\) | |||||||
\(6\) | 0.142315 | − | 0.989821i | 0.0580998 | − | 0.404093i | ||||
\(7\) | −3.99283 | + | 1.17240i | −1.50915 | + | 0.443126i | −0.928595 | − | 0.371096i | \(-0.878982\pi\) |
−0.580554 | + | 0.814222i | \(0.697164\pi\) | |||||||
\(8\) | 0.841254 | + | 0.540641i | 0.297428 | + | 0.191145i | ||||
\(9\) | 0.415415 | − | 0.909632i | 0.138472 | − | 0.303211i | ||||
\(10\) | 3.72871 | + | 1.09485i | 1.17912 | + | 0.346221i | ||||
\(11\) | −2.96537 | − | 3.42222i | −0.894094 | − | 1.03184i | −0.999301 | − | 0.0373888i | \(-0.988096\pi\) |
0.105207 | − | 0.994450i | \(-0.466449\pi\) | |||||||
\(12\) | 0.654861 | + | 0.755750i | 0.189042 | + | 0.218166i | ||||
\(13\) | 3.13097 | + | 0.919336i | 0.868376 | + | 0.254978i | 0.685424 | − | 0.728144i | \(-0.259617\pi\) |
0.182951 | + | 0.983122i | \(0.441435\pi\) | |||||||
\(14\) | 1.72871 | − | 3.78534i | 0.462016 | − | 1.01167i | ||||
\(15\) | 3.26921 | + | 2.10100i | 0.844108 | + | 0.542475i | ||||
\(16\) | −0.959493 | + | 0.281733i | −0.239873 | + | 0.0704331i | ||||
\(17\) | 0.260239 | − | 1.81001i | 0.0631173 | − | 0.438991i | −0.933619 | − | 0.358267i | \(-0.883368\pi\) |
0.996737 | − | 0.0807238i | \(-0.0257232\pi\) | |||||||
\(18\) | 0.415415 | + | 0.909632i | 0.0979143 | + | 0.214402i | ||||
\(19\) | −0.194351 | − | 1.35174i | −0.0445873 | − | 0.310111i | −0.999895 | − | 0.0144978i | \(-0.995385\pi\) |
0.955308 | − | 0.295613i | \(-0.0955240\pi\) | |||||||
\(20\) | −3.26921 | + | 2.10100i | −0.731019 | + | 0.469797i | ||||
\(21\) | 2.72514 | − | 3.14498i | 0.594674 | − | 0.686290i | ||||
\(22\) | 4.52825 | 0.965426 | ||||||||
\(23\) | −2.28185 | + | 4.21819i | −0.475799 | + | 0.879554i | ||||
\(24\) | −1.00000 | −0.204124 | ||||||||
\(25\) | −6.61537 | + | 7.63454i | −1.32307 | + | 1.52691i | ||||
\(26\) | −2.74514 | + | 1.76419i | −0.538366 | + | 0.345987i | ||||
\(27\) | 0.142315 | + | 0.989821i | 0.0273885 | + | 0.190491i | ||||
\(28\) | 1.72871 | + | 3.78534i | 0.326695 | + | 0.715362i | ||||
\(29\) | −0.0798548 | + | 0.555402i | −0.0148287 | + | 0.103136i | −0.995892 | − | 0.0905538i | \(-0.971136\pi\) |
0.981063 | + | 0.193689i | \(0.0620454\pi\) | |||||||
\(30\) | −3.72871 | + | 1.09485i | −0.680766 | + | 0.199891i | ||||
\(31\) | −3.90053 | − | 2.50672i | −0.700556 | − | 0.450220i | 0.141269 | − | 0.989971i | \(-0.454882\pi\) |
−0.841824 | + | 0.539751i | \(0.818518\pi\) | |||||||
\(32\) | 0.415415 | − | 0.909632i | 0.0734357 | − | 0.160802i | ||||
\(33\) | 4.34482 | + | 1.27576i | 0.756337 | + | 0.222081i | ||||
\(34\) | 1.19749 | + | 1.38198i | 0.205368 | + | 0.237007i | ||||
\(35\) | 10.5902 | + | 12.2218i | 1.79007 | + | 2.06585i | ||||
\(36\) | −0.959493 | − | 0.281733i | −0.159915 | − | 0.0469554i | ||||
\(37\) | 1.04639 | − | 2.29127i | 0.172025 | − | 0.376682i | −0.803908 | − | 0.594754i | \(-0.797249\pi\) |
0.975933 | + | 0.218072i | \(0.0699767\pi\) | |||||||
\(38\) | 1.14885 | + | 0.738323i | 0.186369 | + | 0.119772i | ||||
\(39\) | −3.13097 | + | 0.919336i | −0.501357 | + | 0.147212i | ||||
\(40\) | 0.553053 | − | 3.84657i | 0.0874453 | − | 0.608196i | ||||
\(41\) | −2.54130 | − | 5.56467i | −0.396884 | − | 0.869055i | −0.997577 | − | 0.0695749i | \(-0.977836\pi\) |
0.600693 | − | 0.799480i | \(-0.294892\pi\) | |||||||
\(42\) | 0.592229 | + | 4.11904i | 0.0913829 | + | 0.635582i | ||||
\(43\) | 8.28836 | − | 5.32661i | 1.26396 | − | 0.812300i | 0.275142 | − | 0.961404i | \(-0.411275\pi\) |
0.988822 | + | 0.149104i | \(0.0476388\pi\) | |||||||
\(44\) | −2.96537 | + | 3.42222i | −0.447047 | + | 0.515920i | ||||
\(45\) | −3.88612 | −0.579309 | ||||||||
\(46\) | −1.69360 | − | 4.48684i | −0.249708 | − | 0.661548i | ||||
\(47\) | 2.38128 | 0.347345 | 0.173672 | − | 0.984803i | \(-0.444437\pi\) | ||||
0.173672 | + | 0.984803i | \(0.444437\pi\) | |||||||
\(48\) | 0.654861 | − | 0.755750i | 0.0945210 | − | 0.109083i | ||||
\(49\) | 8.67941 | − | 5.57792i | 1.23992 | − | 0.796846i | ||||
\(50\) | −1.43766 | − | 9.99913i | −0.203315 | − | 1.41409i | ||||
\(51\) | 0.759635 | + | 1.66337i | 0.106370 | + | 0.232918i | ||||
\(52\) | 0.464395 | − | 3.22994i | 0.0644000 | − | 0.447912i | ||||
\(53\) | −10.1804 | + | 2.98924i | −1.39839 | + | 0.410604i | −0.892131 | − | 0.451777i | \(-0.850790\pi\) |
−0.506259 | + | 0.862382i | \(0.668972\pi\) | |||||||
\(54\) | −0.841254 | − | 0.540641i | −0.114480 | − | 0.0735719i | ||||
\(55\) | −7.31020 | + | 16.0071i | −0.985707 | + | 2.15840i | ||||
\(56\) | −3.99283 | − | 1.17240i | −0.533565 | − | 0.156669i | ||||
\(57\) | 0.894306 | + | 1.03208i | 0.118454 | + | 0.136703i | ||||
\(58\) | −0.367451 | − | 0.424061i | −0.0482487 | − | 0.0556820i | ||||
\(59\) | 6.86289 | + | 2.01513i | 0.893472 | + | 0.262347i | 0.696069 | − | 0.717975i | \(-0.254931\pi\) |
0.197404 | + | 0.980322i | \(0.436749\pi\) | |||||||
\(60\) | 1.61435 | − | 3.53494i | 0.208412 | − | 0.456359i | ||||
\(61\) | −2.73982 | − | 1.76078i | −0.350799 | − | 0.225445i | 0.353360 | − | 0.935487i | \(-0.385039\pi\) |
−0.704158 | + | 0.710043i | \(0.748676\pi\) | |||||||
\(62\) | 4.44875 | − | 1.30627i | 0.564992 | − | 0.165897i | ||||
\(63\) | −0.592229 | + | 4.11904i | −0.0746138 | + | 0.518950i | ||||
\(64\) | 0.415415 | + | 0.909632i | 0.0519269 | + | 0.113704i | ||||
\(65\) | −1.80470 | − | 12.5519i | −0.223845 | − | 1.55688i | ||||
\(66\) | −3.80941 | + | 2.44816i | −0.468906 | + | 0.301347i | ||||
\(67\) | 4.11751 | − | 4.75186i | 0.503034 | − | 0.580532i | −0.446267 | − | 0.894900i | \(-0.647247\pi\) |
0.949301 | + | 0.314367i | \(0.101792\pi\) | |||||||
\(68\) | −1.82862 | −0.221753 | ||||||||
\(69\) | −0.360914 | − | 4.78223i | −0.0434489 | − | 0.575713i | ||||
\(70\) | −16.1717 | −1.93289 | ||||||||
\(71\) | 4.22647 | − | 4.87760i | 0.501589 | − | 0.578865i | −0.447336 | − | 0.894366i | \(-0.647627\pi\) |
0.948925 | + | 0.315501i | \(0.102173\pi\) | |||||||
\(72\) | 0.841254 | − | 0.540641i | 0.0991427 | − | 0.0637151i | ||||
\(73\) | −1.75805 | − | 12.2275i | −0.205765 | − | 1.43112i | −0.786781 | − | 0.617232i | \(-0.788254\pi\) |
0.581017 | − | 0.813892i | \(-0.302655\pi\) | |||||||
\(74\) | 1.04639 | + | 2.29127i | 0.121640 | + | 0.266355i | ||||
\(75\) | 1.43766 | − | 9.99913i | 0.166006 | − | 1.15460i | ||||
\(76\) | −1.31033 | + | 0.384746i | −0.150305 | + | 0.0441334i | ||||
\(77\) | 15.8525 | + | 10.1878i | 1.80656 | + | 1.16100i | ||||
\(78\) | 1.35556 | − | 2.96827i | 0.153487 | − | 0.336090i | ||||
\(79\) | −8.09543 | − | 2.37703i | −0.910807 | − | 0.267437i | −0.207427 | − | 0.978251i | \(-0.566509\pi\) |
−0.703381 | + | 0.710813i | \(0.748327\pi\) | |||||||
\(80\) | 2.54487 | + | 2.93694i | 0.284525 | + | 0.328359i | ||||
\(81\) | −0.654861 | − | 0.755750i | −0.0727623 | − | 0.0839722i | ||||
\(82\) | 5.86969 | + | 1.72350i | 0.648199 | + | 0.190328i | ||||
\(83\) | −0.156624 | + | 0.342959i | −0.0171917 | + | 0.0376446i | −0.918033 | − | 0.396504i | \(-0.870223\pi\) |
0.900841 | + | 0.434148i | \(0.142951\pi\) | |||||||
\(84\) | −3.50079 | − | 2.24982i | −0.381968 | − | 0.245476i | ||||
\(85\) | −6.81838 | + | 2.00206i | −0.739557 | + | 0.217154i | ||||
\(86\) | −1.40214 | + | 9.75211i | −0.151197 | + | 1.05160i | ||||
\(87\) | −0.233095 | − | 0.510407i | −0.0249904 | − | 0.0547214i | ||||
\(88\) | −0.644437 | − | 4.48216i | −0.0686972 | − | 0.477800i | ||||
\(89\) | 12.7912 | − | 8.22041i | 1.35587 | − | 0.871362i | 0.357816 | − | 0.933792i | \(-0.383521\pi\) |
0.998049 | + | 0.0624300i | \(0.0198850\pi\) | |||||||
\(90\) | 2.54487 | − | 2.93694i | 0.268253 | − | 0.309580i | ||||
\(91\) | −13.5793 | −1.42350 | ||||||||
\(92\) | 4.50000 | + | 1.65831i | 0.469157 | + | 0.172891i | ||||
\(93\) | 4.63657 | 0.480790 | ||||||||
\(94\) | −1.55940 | + | 1.79965i | −0.160840 | + | 0.185619i | ||||
\(95\) | −4.46458 | + | 2.86921i | −0.458056 | + | 0.294375i | ||||
\(96\) | 0.142315 | + | 0.989821i | 0.0145249 | + | 0.101023i | ||||
\(97\) | 7.84133 | + | 17.1701i | 0.796166 | + | 1.74336i | 0.658091 | + | 0.752939i | \(0.271364\pi\) |
0.138075 | + | 0.990422i | \(0.455908\pi\) | |||||||
\(98\) | −1.46830 | + | 10.2122i | −0.148320 | + | 1.03159i | ||||
\(99\) | −4.34482 | + | 1.27576i | −0.436671 | + | 0.128218i | ||||
\(100\) | 8.49830 | + | 5.46153i | 0.849830 | + | 0.546153i | ||||
\(101\) | −0.458228 | + | 1.00338i | −0.0455954 | + | 0.0998399i | −0.931059 | − | 0.364869i | \(-0.881114\pi\) |
0.885464 | + | 0.464709i | \(0.153841\pi\) | |||||||
\(102\) | −1.75455 | − | 0.515181i | −0.173726 | − | 0.0510105i | ||||
\(103\) | −2.20457 | − | 2.54421i | −0.217223 | − | 0.250689i | 0.636671 | − | 0.771136i | \(-0.280311\pi\) |
−0.853894 | + | 0.520447i | \(0.825765\pi\) | |||||||
\(104\) | 2.13691 | + | 2.46613i | 0.209541 | + | 0.241824i | ||||
\(105\) | −15.5166 | − | 4.55610i | −1.51427 | − | 0.444629i | ||||
\(106\) | 4.40764 | − | 9.65139i | 0.428108 | − | 0.937426i | ||||
\(107\) | −8.83179 | − | 5.67585i | −0.853802 | − | 0.548705i | 0.0389566 | − | 0.999241i | \(-0.487597\pi\) |
−0.892758 | + | 0.450536i | \(0.851233\pi\) | |||||||
\(108\) | 0.959493 | − | 0.281733i | 0.0923273 | − | 0.0271097i | ||||
\(109\) | 0.181690 | − | 1.26368i | 0.0174028 | − | 0.121039i | −0.979268 | − | 0.202568i | \(-0.935071\pi\) |
0.996671 | + | 0.0815291i | \(0.0259803\pi\) | |||||||
\(110\) | −7.31020 | − | 16.0071i | −0.697000 | − | 1.52622i | ||||
\(111\) | 0.358476 | + | 2.49326i | 0.0340251 | + | 0.236650i | ||||
\(112\) | 3.50079 | − | 2.24982i | 0.330794 | − | 0.212588i | ||||
\(113\) | −11.5853 | + | 13.3702i | −1.08985 | + | 1.25776i | −0.125800 | + | 0.992056i | \(0.540150\pi\) |
−0.964055 | + | 0.265704i | \(0.914396\pi\) | |||||||
\(114\) | −1.36564 | −0.127904 | ||||||||
\(115\) | 18.5948 | + | 1.25655i | 1.73397 | + | 0.117174i | ||||
\(116\) | 0.561114 | 0.0520981 | ||||||||
\(117\) | 2.13691 | − | 2.46613i | 0.197557 | − | 0.227993i | ||||
\(118\) | −6.01717 | + | 3.86700i | −0.553925 | + | 0.355986i | ||||
\(119\) | 1.08296 | + | 7.53215i | 0.0992748 | + | 0.690471i | ||||
\(120\) | 1.61435 | + | 3.53494i | 0.147370 | + | 0.322695i | ||||
\(121\) | −1.35271 | + | 9.40830i | −0.122974 | + | 0.855300i | ||||
\(122\) | 3.12491 | − | 0.917557i | 0.282916 | − | 0.0830717i | ||||
\(123\) | 5.14636 | + | 3.30737i | 0.464032 | + | 0.298215i | ||||
\(124\) | −1.92610 | + | 4.21757i | −0.172969 | + | 0.378749i | ||||
\(125\) | 19.0237 | + | 5.58586i | 1.70153 | + | 0.499614i | ||||
\(126\) | −2.72514 | − | 3.14498i | −0.242774 | − | 0.280177i | ||||
\(127\) | −6.61277 | − | 7.63154i | −0.586788 | − | 0.677190i | 0.382262 | − | 0.924054i | \(-0.375145\pi\) |
−0.969050 | + | 0.246864i | \(0.920600\pi\) | |||||||
\(128\) | −0.959493 | − | 0.281733i | −0.0848080 | − | 0.0249019i | ||||
\(129\) | −4.09283 | + | 8.96205i | −0.360354 | + | 0.789065i | ||||
\(130\) | 10.6679 | + | 6.85587i | 0.935641 | + | 0.601300i | ||||
\(131\) | −7.21436 | + | 2.11833i | −0.630322 | + | 0.185079i | −0.581262 | − | 0.813717i | \(-0.697441\pi\) |
−0.0490599 | + | 0.998796i | \(0.515623\pi\) | |||||||
\(132\) | 0.644437 | − | 4.48216i | 0.0560911 | − | 0.390122i | ||||
\(133\) | 2.36080 | + | 5.16943i | 0.204707 | + | 0.448246i | ||||
\(134\) | 0.894821 | + | 6.22362i | 0.0773008 | + | 0.537639i | ||||
\(135\) | 3.26921 | − | 2.10100i | 0.281369 | − | 0.180825i | ||||
\(136\) | 1.19749 | − | 1.38198i | 0.102684 | − | 0.118504i | ||||
\(137\) | −14.3005 | −1.22178 | −0.610888 | − | 0.791717i | \(-0.709188\pi\) | ||||
−0.610888 | + | 0.791717i | \(0.709188\pi\) | |||||||
\(138\) | 3.85052 | + | 2.85894i | 0.327778 | + | 0.243369i | ||||
\(139\) | 21.8003 | 1.84907 | 0.924537 | − | 0.381092i | \(-0.124452\pi\) | ||||
0.924537 | + | 0.381092i | \(0.124452\pi\) | |||||||
\(140\) | 10.5902 | − | 12.2218i | 0.895037 | − | 1.03293i | ||||
\(141\) | −2.00326 | + | 1.28741i | −0.168705 | + | 0.108420i | ||||
\(142\) | 0.918499 | + | 6.38830i | 0.0770787 | + | 0.536094i | ||||
\(143\) | −6.13833 | − | 13.4411i | −0.513313 | − | 1.12400i | ||||
\(144\) | −0.142315 | + | 0.989821i | −0.0118596 | + | 0.0824851i | ||||
\(145\) | 2.09223 | − | 0.614334i | 0.173750 | − | 0.0510176i | ||||
\(146\) | 10.3922 | + | 6.67868i | 0.860067 | + | 0.552731i | ||||
\(147\) | −4.28594 | + | 9.38489i | −0.353498 | + | 0.774053i | ||||
\(148\) | −2.41686 | − | 0.709655i | −0.198665 | − | 0.0583333i | ||||
\(149\) | 1.36272 | + | 1.57267i | 0.111639 | + | 0.128838i | 0.808818 | − | 0.588058i | \(-0.200107\pi\) |
−0.697180 | + | 0.716896i | \(0.745562\pi\) | |||||||
\(150\) | 6.61537 | + | 7.63454i | 0.540143 | + | 0.623358i | ||||
\(151\) | −18.0081 | − | 5.28767i | −1.46548 | − | 0.430304i | −0.550854 | − | 0.834601i | \(-0.685698\pi\) |
−0.914628 | + | 0.404297i | \(0.867516\pi\) | |||||||
\(152\) | 0.567309 | − | 1.24223i | 0.0460148 | − | 0.100758i | ||||
\(153\) | −1.53833 | − | 0.988626i | −0.124367 | − | 0.0799256i | ||||
\(154\) | −18.0805 | + | 5.30893i | −1.45697 | + | 0.427806i | ||||
\(155\) | −2.56427 | + | 17.8349i | −0.205967 | + | 1.43253i | ||||
\(156\) | 1.35556 | + | 2.96827i | 0.108532 | + | 0.237652i | ||||
\(157\) | 0.283936 | + | 1.97482i | 0.0226606 | + | 0.157608i | 0.998010 | − | 0.0630593i | \(-0.0200857\pi\) |
−0.975349 | + | 0.220667i | \(0.929177\pi\) | |||||||
\(158\) | 7.09782 | − | 4.56149i | 0.564672 | − | 0.362893i | ||||
\(159\) | 6.94821 | − | 8.01867i | 0.551029 | − | 0.635922i | ||||
\(160\) | −3.88612 | −0.307225 | ||||||||
\(161\) | 4.16563 | − | 19.5178i | 0.328297 | − | 1.53822i | ||||
\(162\) | 1.00000 | 0.0785674 | ||||||||
\(163\) | −0.457728 | + | 0.528246i | −0.0358520 | + | 0.0413754i | −0.773392 | − | 0.633928i | \(-0.781442\pi\) |
0.737540 | + | 0.675303i | \(0.235987\pi\) | |||||||
\(164\) | −5.14636 | + | 3.30737i | −0.401863 | + | 0.258262i | ||||
\(165\) | −2.50436 | − | 17.4182i | −0.194964 | − | 1.35601i | ||||
\(166\) | −0.156624 | − | 0.342959i | −0.0121564 | − | 0.0266188i | ||||
\(167\) | −0.715611 | + | 4.97718i | −0.0553756 | + | 0.385146i | 0.943220 | + | 0.332168i | \(0.107780\pi\) |
−0.998596 | + | 0.0529775i | \(0.983129\pi\) | |||||||
\(168\) | 3.99283 | − | 1.17240i | 0.308054 | − | 0.0904527i | ||||
\(169\) | −1.97849 | − | 1.27150i | −0.152191 | − | 0.0978074i | ||||
\(170\) | 2.95204 | − | 6.46406i | 0.226411 | − | 0.495771i | ||||
\(171\) | −1.31033 | − | 0.384746i | −0.100203 | − | 0.0294223i | ||||
\(172\) | −6.45195 | − | 7.44594i | −0.491956 | − | 0.567748i | ||||
\(173\) | 5.68588 | + | 6.56186i | 0.432289 | + | 0.498889i | 0.929542 | − | 0.368717i | \(-0.120203\pi\) |
−0.497252 | + | 0.867606i | \(0.665658\pi\) | |||||||
\(174\) | 0.538385 | + | 0.158084i | 0.0408148 | + | 0.0119843i | ||||
\(175\) | 17.4633 | − | 38.2393i | 1.32010 | − | 2.89062i | ||||
\(176\) | 3.80941 | + | 2.44816i | 0.287145 | + | 0.184537i | ||||
\(177\) | −6.86289 | + | 2.01513i | −0.515847 | + | 0.151466i | ||||
\(178\) | −2.16389 | + | 15.0502i | −0.162190 | + | 1.12806i | ||||
\(179\) | −4.80854 | − | 10.5292i | −0.359407 | − | 0.786992i | −0.999820 | − | 0.0189611i | \(-0.993964\pi\) |
0.640413 | − | 0.768031i | \(-0.278763\pi\) | |||||||
\(180\) | 0.553053 | + | 3.84657i | 0.0412221 | + | 0.286706i | ||||
\(181\) | −2.19877 | + | 1.41307i | −0.163434 | + | 0.105032i | −0.619801 | − | 0.784759i | \(-0.712787\pi\) |
0.456367 | + | 0.889791i | \(0.349150\pi\) | |||||||
\(182\) | 8.89254 | − | 10.2625i | 0.659159 | − | 0.760710i | ||||
\(183\) | 3.25684 | 0.240752 | ||||||||
\(184\) | −4.20014 | + | 2.31491i | −0.309639 | + | 0.170657i | ||||
\(185\) | −9.78874 | −0.719683 | ||||||||
\(186\) | −3.03631 | + | 3.50408i | −0.222633 | + | 0.256932i | ||||
\(187\) | −6.96595 | + | 4.47674i | −0.509401 | + | 0.327372i | ||||
\(188\) | −0.338891 | − | 2.35704i | −0.0247162 | − | 0.171905i | ||||
\(189\) | −1.72871 | − | 3.78534i | −0.125745 | − | 0.275343i | ||||
\(190\) | 0.755273 | − | 5.25304i | 0.0547933 | − | 0.381096i | ||||
\(191\) | −5.90211 | + | 1.73302i | −0.427062 | + | 0.125397i | −0.488198 | − | 0.872733i | \(-0.662346\pi\) |
0.0611364 | + | 0.998129i | \(0.480528\pi\) | |||||||
\(192\) | −0.841254 | − | 0.540641i | −0.0607122 | − | 0.0390174i | ||||
\(193\) | 3.54355 | − | 7.75930i | 0.255071 | − | 0.558527i | −0.738168 | − | 0.674617i | \(-0.764309\pi\) |
0.993239 | + | 0.116090i | \(0.0370362\pi\) | |||||||
\(194\) | −18.1113 | − | 5.31795i | −1.30031 | − | 0.381807i | ||||
\(195\) | 8.30430 | + | 9.58367i | 0.594683 | + | 0.686301i | ||||
\(196\) | −6.75635 | − | 7.79725i | −0.482597 | − | 0.556946i | ||||
\(197\) | −3.15681 | − | 0.926923i | −0.224913 | − | 0.0660406i | 0.167334 | − | 0.985900i | \(-0.446484\pi\) |
−0.392248 | + | 0.919860i | \(0.628302\pi\) | |||||||
\(198\) | 1.88110 | − | 4.11904i | 0.133684 | − | 0.292728i | ||||
\(199\) | 16.8471 | + | 10.8270i | 1.19426 | + | 0.767505i | 0.977954 | − | 0.208821i | \(-0.0669626\pi\) |
0.216307 | + | 0.976325i | \(0.430599\pi\) | |||||||
\(200\) | −9.69275 | + | 2.84605i | −0.685381 | + | 0.201246i | ||||
\(201\) | −0.894821 | + | 6.22362i | −0.0631158 | + | 0.438980i | ||||
\(202\) | −0.458228 | − | 1.00338i | −0.0322408 | − | 0.0705975i | ||||
\(203\) | −0.332308 | − | 2.31125i | −0.0233234 | − | 0.162218i | ||||
\(204\) | 1.53833 | − | 0.988626i | 0.107705 | − | 0.0692176i | ||||
\(205\) | −15.5682 | + | 17.9667i | −1.08733 | + | 1.25485i | ||||
\(206\) | 3.36648 | 0.234554 | ||||||||
\(207\) | 2.88909 | + | 3.82794i | 0.200806 | + | 0.266061i | ||||
\(208\) | −3.26315 | −0.226259 | ||||||||
\(209\) | −4.04964 | + | 4.67354i | −0.280120 | + | 0.323275i | ||||
\(210\) | 13.6045 | − | 8.74308i | 0.938800 | − | 0.603330i | ||||
\(211\) | −0.373327 | − | 2.59655i | −0.0257009 | − | 0.178754i | 0.972928 | − | 0.231110i | \(-0.0742358\pi\) |
−0.998628 | + | 0.0523567i | \(0.983327\pi\) | |||||||
\(212\) | 4.40764 | + | 9.65139i | 0.302718 | + | 0.662860i | ||||
\(213\) | −0.918499 | + | 6.38830i | −0.0629345 | + | 0.437719i | ||||
\(214\) | 10.0731 | − | 2.95773i | 0.688584 | − | 0.202186i | ||||
\(215\) | −32.2096 | − | 20.6998i | −2.19668 | − | 1.41172i | ||||
\(216\) | −0.415415 | + | 0.909632i | −0.0282654 | + | 0.0618926i | ||||
\(217\) | 18.5130 | + | 5.43592i | 1.25675 | + | 0.369014i | ||||
\(218\) | 0.836047 | + | 0.964850i | 0.0566242 | + | 0.0653479i | ||||
\(219\) | 8.08967 | + | 9.33598i | 0.546649 | + | 0.630867i | ||||
\(220\) | 16.8845 | + | 4.95774i | 1.13835 | + | 0.334251i | ||||
\(221\) | 2.47881 | − | 5.42783i | 0.166743 | − | 0.365115i | ||||
\(222\) | −2.11903 | − | 1.36182i | −0.142220 | − | 0.0913993i | ||||
\(223\) | −3.27091 | + | 0.960425i | −0.219036 | + | 0.0643148i | −0.389409 | − | 0.921065i | \(-0.627321\pi\) |
0.170373 | + | 0.985380i | \(0.445503\pi\) | |||||||
\(224\) | −0.592229 | + | 4.11904i | −0.0395699 | + | 0.275215i | ||||
\(225\) | 4.19650 | + | 9.18906i | 0.279767 | + | 0.612604i | ||||
\(226\) | −2.51773 | − | 17.5112i | −0.167477 | − | 1.16483i | ||||
\(227\) | 12.4561 | − | 8.00502i | 0.826738 | − | 0.531312i | −0.0575021 | − | 0.998345i | \(-0.518314\pi\) |
0.884240 | + | 0.467033i | \(0.154677\pi\) | |||||||
\(228\) | 0.894306 | − | 1.03208i | 0.0592269 | − | 0.0683515i | ||||
\(229\) | 9.79565 | 0.647315 | 0.323657 | − | 0.946174i | \(-0.395088\pi\) | ||||
0.323657 | + | 0.946174i | \(0.395088\pi\) | |||||||
\(230\) | −13.1266 | + | 13.2301i | −0.865544 | + | 0.872369i | ||||
\(231\) | −18.8439 | −1.23983 | ||||||||
\(232\) | −0.367451 | + | 0.424061i | −0.0241244 | + | 0.0278410i | ||||
\(233\) | −3.32743 | + | 2.13841i | −0.217987 | + | 0.140092i | −0.645078 | − | 0.764117i | \(-0.723175\pi\) |
0.427090 | + | 0.904209i | \(0.359539\pi\) | |||||||
\(234\) | 0.464395 | + | 3.22994i | 0.0303585 | + | 0.211148i | ||||
\(235\) | −3.84422 | − | 8.41767i | −0.250769 | − | 0.549108i | ||||
\(236\) | 1.01792 | − | 7.07982i | 0.0662612 | − | 0.460857i | ||||
\(237\) | 8.09543 | − | 2.37703i | 0.525855 | − | 0.154405i | ||||
\(238\) | −6.40161 | − | 4.11406i | −0.414955 | − | 0.266675i | ||||
\(239\) | −4.08249 | + | 8.93942i | −0.264075 | + | 0.578243i | −0.994498 | − | 0.104751i | \(-0.966595\pi\) |
0.730424 | + | 0.682994i | \(0.239323\pi\) | |||||||
\(240\) | −3.72871 | − | 1.09485i | −0.240687 | − | 0.0706721i | ||||
\(241\) | −14.2018 | − | 16.3897i | −0.914818 | − | 1.05576i | −0.998244 | − | 0.0592420i | \(-0.981132\pi\) |
0.0834259 | − | 0.996514i | \(-0.473414\pi\) | |||||||
\(242\) | −6.22449 | − | 7.18344i | −0.400125 | − | 0.461769i | ||||
\(243\) | 0.959493 | + | 0.281733i | 0.0615515 | + | 0.0180732i | ||||
\(244\) | −1.35294 | + | 2.96252i | −0.0866130 | + | 0.189656i | ||||
\(245\) | −33.7293 | − | 21.6765i | −2.15488 | − | 1.38486i | ||||
\(246\) | −5.86969 | + | 1.72350i | −0.374238 | + | 0.109886i | ||||
\(247\) | 0.634198 | − | 4.41095i | 0.0403531 | − | 0.280662i | ||||
\(248\) | −1.92610 | − | 4.21757i | −0.122307 | − | 0.267816i | ||||
\(249\) | −0.0536570 | − | 0.373193i | −0.00340038 | − | 0.0236501i | ||||
\(250\) | −16.6794 | + | 10.7192i | −1.05490 | + | 0.677940i | ||||
\(251\) | 4.87930 | − | 5.63102i | 0.307979 | − | 0.355427i | −0.580569 | − | 0.814211i | \(-0.697170\pi\) |
0.888547 | + | 0.458785i | \(0.151715\pi\) | |||||||
\(252\) | 4.16140 | 0.262143 | ||||||||
\(253\) | 21.2021 | − | 4.69952i | 1.33297 | − | 0.295456i | ||||
\(254\) | 10.0980 | 0.633603 | ||||||||
\(255\) | 4.65359 | − | 5.37053i | 0.291419 | − | 0.336316i | ||||
\(256\) | 0.841254 | − | 0.540641i | 0.0525783 | − | 0.0337901i | ||||
\(257\) | −0.583862 | − | 4.06085i | −0.0364203 | − | 0.253309i | 0.963475 | − | 0.267799i | \(-0.0862965\pi\) |
−0.999895 | + | 0.0144905i | \(0.995387\pi\) | |||||||
\(258\) | −4.09283 | − | 8.96205i | −0.254809 | − | 0.557953i | ||||
\(259\) | −1.49176 | + | 10.3754i | −0.0926936 | + | 0.644698i | ||||
\(260\) | −12.1673 | + | 3.57265i | −0.754587 | + | 0.221567i | ||||
\(261\) | 0.472039 | + | 0.303361i | 0.0292185 | + | 0.0187776i | ||||
\(262\) | 3.12348 | − | 6.83946i | 0.192969 | − | 0.422543i | ||||
\(263\) | 25.7188 | + | 7.55172i | 1.58589 | + | 0.465659i | 0.951575 | − | 0.307417i | \(-0.0994645\pi\) |
0.634314 | + | 0.773076i | \(0.281283\pi\) | |||||||
\(264\) | 2.96537 | + | 3.42222i | 0.182506 | + | 0.210623i | ||||
\(265\) | 27.0016 | + | 31.1615i | 1.65870 | + | 1.91424i | ||||
\(266\) | −5.45279 | − | 1.60108i | −0.334332 | − | 0.0981687i | ||||
\(267\) | −6.31636 | + | 13.8309i | −0.386555 | + | 0.846437i | ||||
\(268\) | −5.28948 | − | 3.39934i | −0.323106 | − | 0.207648i | ||||
\(269\) | 5.51035 | − | 1.61799i | 0.335972 | − | 0.0986503i | −0.109395 | − | 0.993998i | \(-0.534891\pi\) |
0.445367 | + | 0.895348i | \(0.353073\pi\) | |||||||
\(270\) | −0.553053 | + | 3.84657i | −0.0336577 | + | 0.234095i | ||||
\(271\) | 2.88130 | + | 6.30917i | 0.175027 | + | 0.383255i | 0.976732 | − | 0.214465i | \(-0.0688008\pi\) |
−0.801705 | + | 0.597720i | \(0.796073\pi\) | |||||||
\(272\) | 0.260239 | + | 1.81001i | 0.0157793 | + | 0.109748i | ||||
\(273\) | 11.4236 | − | 7.34151i | 0.691389 | − | 0.444329i | ||||
\(274\) | 9.36485 | − | 10.8076i | 0.565752 | − | 0.652912i | ||||
\(275\) | 45.7442 | 2.75848 | ||||||||
\(276\) | −4.68219 | + | 1.03782i | −0.281835 | + | 0.0624696i | ||||
\(277\) | −3.81024 | −0.228935 | −0.114468 | − | 0.993427i | \(-0.536516\pi\) | ||||
−0.114468 | + | 0.993427i | \(0.536516\pi\) | |||||||
\(278\) | −14.2761 | + | 16.4755i | −0.856226 | + | 0.988137i | ||||
\(279\) | −3.90053 | + | 2.50672i | −0.233519 | + | 0.150073i | ||||
\(280\) | 2.30147 | + | 16.0071i | 0.137539 | + | 0.956607i | ||||
\(281\) | 7.54923 | + | 16.5305i | 0.450349 | + | 0.986127i | 0.989582 | + | 0.143970i | \(0.0459870\pi\) |
−0.539233 | + | 0.842157i | \(0.681286\pi\) | |||||||
\(282\) | 0.338891 | − | 2.35704i | 0.0201807 | − | 0.140360i | ||||
\(283\) | 16.4044 | − | 4.81676i | 0.975139 | − | 0.286327i | 0.244923 | − | 0.969543i | \(-0.421237\pi\) |
0.730217 | + | 0.683216i | \(0.239419\pi\) | |||||||
\(284\) | −5.42945 | − | 3.48929i | −0.322178 | − | 0.207051i | ||||
\(285\) | 2.20463 | − | 4.82747i | 0.130591 | − | 0.285955i | ||||
\(286\) | 14.1778 | + | 4.16299i | 0.838353 | + | 0.246163i | ||||
\(287\) | 16.6710 | + | 19.2394i | 0.984058 | + | 1.13566i | ||||
\(288\) | −0.654861 | − | 0.755750i | −0.0385880 | − | 0.0445330i | ||||
\(289\) | 13.1030 | + | 3.84738i | 0.770764 | + | 0.226317i | ||||
\(290\) | −0.905836 | + | 1.98350i | −0.0531925 | + | 0.116475i | ||||
\(291\) | −15.8794 | − | 10.2051i | −0.930867 | − | 0.598232i | ||||
\(292\) | −11.8529 | + | 3.48032i | −0.693637 | + | 0.203670i | ||||
\(293\) | 1.85784 | − | 12.9216i | 0.108536 | − | 0.754887i | −0.860763 | − | 0.509005i | \(-0.830013\pi\) |
0.969300 | − | 0.245882i | \(-0.0790776\pi\) | |||||||
\(294\) | −4.28594 | − | 9.38489i | −0.249961 | − | 0.547338i | ||||
\(295\) | −3.95578 | − | 27.5130i | −0.230314 | − | 1.60187i | ||||
\(296\) | 2.11903 | − | 1.36182i | 0.123166 | − | 0.0791541i | ||||
\(297\) | 2.96537 | − | 3.42222i | 0.172068 | − | 0.198578i | ||||
\(298\) | −2.08094 | −0.120545 | ||||||||
\(299\) | −11.0223 | + | 11.1093i | −0.637439 | + | 0.642465i | ||||
\(300\) | −10.1019 | −0.583236 | ||||||||
\(301\) | −26.8491 | + | 30.9855i | −1.54756 | + | 1.78598i | ||||
\(302\) | 15.7890 | − | 10.1470i | 0.908554 | − | 0.583892i | ||||
\(303\) | −0.156982 | − | 1.09183i | −0.00901837 | − | 0.0627241i | ||||
\(304\) | 0.567309 | + | 1.24223i | 0.0325374 | + | 0.0712470i | ||||
\(305\) | −1.80120 | + | 12.5276i | −0.103137 | + | 0.717331i | ||||
\(306\) | 1.75455 | − | 0.515181i | 0.100301 | − | 0.0294510i | ||||
\(307\) | −20.2621 | − | 13.0217i | −1.15642 | − | 0.743186i | −0.185513 | − | 0.982642i | \(-0.559395\pi\) |
−0.970907 | + | 0.239455i | \(0.923031\pi\) | |||||||
\(308\) | 7.82802 | − | 17.1410i | 0.446043 | − | 0.976698i | ||||
\(309\) | 3.23011 | + | 0.948446i | 0.183755 | + | 0.0539552i | ||||
\(310\) | −11.7995 | − | 13.6173i | −0.670164 | − | 0.773411i | ||||
\(311\) | −1.73347 | − | 2.00054i | −0.0982963 | − | 0.113440i | 0.704470 | − | 0.709734i | \(-0.251185\pi\) |
−0.802766 | + | 0.596294i | \(0.796639\pi\) | |||||||
\(312\) | −3.13097 | − | 0.919336i | −0.177256 | − | 0.0520472i | ||||
\(313\) | −10.3916 | + | 22.7544i | −0.587368 | + | 1.28616i | 0.349651 | + | 0.936880i | \(0.386300\pi\) |
−0.937020 | + | 0.349277i | \(0.886427\pi\) | |||||||
\(314\) | −1.67841 | − | 1.07865i | −0.0947180 | − | 0.0608715i | ||||
\(315\) | 15.5166 | − | 4.55610i | 0.874263 | − | 0.256707i | ||||
\(316\) | −1.20074 | + | 8.35132i | −0.0675468 | + | 0.469798i | ||||
\(317\) | −1.22141 | − | 2.67452i | −0.0686012 | − | 0.150216i | 0.872225 | − | 0.489104i | \(-0.162676\pi\) |
−0.940826 | + | 0.338889i | \(0.889949\pi\) | |||||||
\(318\) | 1.50999 | + | 10.5022i | 0.0846761 | + | 0.588935i | ||||
\(319\) | 2.13751 | − | 1.37369i | 0.119678 | − | 0.0769121i | ||||
\(320\) | 2.54487 | − | 2.93694i | 0.142263 | − | 0.164180i | ||||
\(321\) | 10.4984 | 0.585962 | ||||||||
\(322\) | 12.0227 | + | 15.9296i | 0.669996 | + | 0.887722i | ||||
\(323\) | −2.49724 | −0.138950 | ||||||||
\(324\) | −0.654861 | + | 0.755750i | −0.0363812 | + | 0.0419861i | ||||
\(325\) | −27.7313 | + | 17.8218i | −1.53825 | + | 0.988575i | ||||
\(326\) | −0.0994738 | − | 0.691855i | −0.00550934 | − | 0.0383183i | ||||
\(327\) | 0.530352 | + | 1.16131i | 0.0293285 | + | 0.0642205i | ||||
\(328\) | 0.870610 | − | 6.05523i | 0.0480714 | − | 0.334344i | ||||
\(329\) | −9.50803 | + | 2.79181i | −0.524195 | + | 0.153917i | ||||
\(330\) | 14.8038 | + | 9.51384i | 0.814924 | + | 0.523720i | ||||
\(331\) | −0.506133 | + | 1.10828i | −0.0278196 | + | 0.0609164i | −0.923032 | − | 0.384724i | \(-0.874297\pi\) |
0.895212 | + | 0.445640i | \(0.147024\pi\) | |||||||
\(332\) | 0.361758 | + | 0.106222i | 0.0198540 | + | 0.00582967i | ||||
\(333\) | −1.64953 | − | 1.90366i | −0.0903935 | − | 0.104320i | ||||
\(334\) | −3.29288 | − | 3.80018i | −0.180178 | − | 0.207937i | ||||
\(335\) | −23.4447 | − | 6.88398i | −1.28092 | − | 0.376112i | ||||
\(336\) | −1.72871 | + | 3.78534i | −0.0943087 | + | 0.206507i | ||||
\(337\) | 16.0373 | + | 10.3066i | 0.873608 | + | 0.561434i | 0.898854 | − | 0.438248i | \(-0.144401\pi\) |
−0.0252465 | + | 0.999681i | \(0.508037\pi\) | |||||||
\(338\) | 2.25657 | − | 0.662588i | 0.122741 | − | 0.0360400i | ||||
\(339\) | 2.51773 | − | 17.5112i | 0.136744 | − | 0.951077i | ||||
\(340\) | 2.95204 | + | 6.46406i | 0.160097 | + | 0.350563i | ||||
\(341\) | 2.98798 | + | 20.7818i | 0.161808 | + | 1.12540i | ||||
\(342\) | 1.14885 | − | 0.738323i | 0.0621228 | − | 0.0399239i | ||||
\(343\) | −9.03993 | + | 10.4326i | −0.488110 | + | 0.563309i | ||||
\(344\) | 9.85240 | 0.531206 | ||||||||
\(345\) | −16.3223 | + | 8.99602i | −0.878761 | + | 0.484330i | ||||
\(346\) | −8.68258 | −0.466778 | ||||||||
\(347\) | 8.09188 | − | 9.33853i | 0.434395 | − | 0.501319i | −0.495773 | − | 0.868452i | \(-0.665115\pi\) |
0.930168 | + | 0.367133i | \(0.119661\pi\) | |||||||
\(348\) | −0.472039 | + | 0.303361i | −0.0253039 | + | 0.0162619i | ||||
\(349\) | 2.23168 | + | 15.5217i | 0.119459 | + | 0.830856i | 0.958154 | + | 0.286254i | \(0.0924101\pi\) |
−0.838695 | + | 0.544602i | \(0.816681\pi\) | |||||||
\(350\) | 17.4633 | + | 38.2393i | 0.933453 | + | 2.04398i | ||||
\(351\) | −0.464395 | + | 3.22994i | −0.0247876 | + | 0.172401i | ||||
\(352\) | −4.34482 | + | 1.27576i | −0.231580 | + | 0.0679980i | ||||
\(353\) | 25.6703 | + | 16.4973i | 1.36629 | + | 0.878063i | 0.998652 | − | 0.0519054i | \(-0.0165294\pi\) |
0.367640 | + | 0.929968i | \(0.380166\pi\) | |||||||
\(354\) | 2.97131 | − | 6.50625i | 0.157923 | − | 0.345804i | ||||
\(355\) | −24.0651 | − | 7.06614i | −1.27724 | − | 0.375032i | ||||
\(356\) | −9.95712 | − | 11.4911i | −0.527726 | − | 0.609029i | ||||
\(357\) | −4.98323 | − | 5.75096i | −0.263741 | − | 0.304373i | ||||
\(358\) | 11.1064 | + | 3.26113i | 0.586991 | + | 0.172356i | ||||
\(359\) | 6.85337 | − | 15.0068i | 0.361707 | − | 0.792028i | −0.638050 | − | 0.769995i | \(-0.720259\pi\) |
0.999757 | − | 0.0220335i | \(-0.00701404\pi\) | |||||||
\(360\) | −3.26921 | − | 2.10100i | −0.172303 | − | 0.110732i | ||||
\(361\) | 16.4409 | − | 4.82749i | 0.865312 | − | 0.254079i | ||||
\(362\) | 0.371967 | − | 2.58708i | 0.0195501 | − | 0.135974i | ||||
\(363\) | −3.94854 | − | 8.64610i | −0.207245 | − | 0.453803i | ||||
\(364\) | 1.93253 | + | 13.4411i | 0.101292 | + | 0.704503i | ||||
\(365\) | −40.3855 | + | 25.9542i | −2.11387 | + | 1.35850i | ||||
\(366\) | −2.13277 | + | 2.46135i | −0.111482 | + | 0.128657i | ||||
\(367\) | −27.6912 | −1.44547 | −0.722736 | − | 0.691125i | \(-0.757116\pi\) | ||||
−0.722736 | + | 0.691125i | \(0.757116\pi\) | |||||||
\(368\) | 1.00102 | − | 4.69020i | 0.0521816 | − | 0.244494i | ||||
\(369\) | −6.11749 | −0.318464 | ||||||||
\(370\) | 6.41026 | − | 7.39784i | 0.333254 | − | 0.384595i | ||||
\(371\) | 37.1442 | − | 23.8711i | 1.92843 | − | 1.23933i | ||||
\(372\) | −0.659852 | − | 4.58937i | −0.0342118 | − | 0.237948i | ||||
\(373\) | −8.45891 | − | 18.5224i | −0.437986 | − | 0.959055i | −0.991964 | − | 0.126524i | \(-0.959618\pi\) |
0.553978 | − | 0.832531i | \(-0.313109\pi\) | |||||||
\(374\) | 1.17843 | − | 8.19616i | 0.0609351 | − | 0.423813i | ||||
\(375\) | −19.0237 | + | 5.58586i | −0.982378 | + | 0.288452i | ||||
\(376\) | 2.00326 | + | 1.28741i | 0.103310 | + | 0.0663933i | ||||
\(377\) | −0.760625 | + | 1.66554i | −0.0391742 | + | 0.0857795i | ||||
\(378\) | 3.99283 | + | 1.17240i | 0.205369 | + | 0.0603018i | ||||
\(379\) | 10.0383 | + | 11.5848i | 0.515631 | + | 0.595070i | 0.952532 | − | 0.304440i | \(-0.0984692\pi\) |
−0.436900 | + | 0.899510i | \(0.643924\pi\) | |||||||
\(380\) | 3.47538 | + | 4.01081i | 0.178283 | + | 0.205750i | ||||
\(381\) | 9.68893 | + | 2.84493i | 0.496379 | + | 0.145750i | ||||
\(382\) | 2.55534 | − | 5.59540i | 0.130742 | − | 0.286286i | ||||
\(383\) | −17.4189 | − | 11.1945i | −0.890065 | − | 0.572010i | 0.0137632 | − | 0.999905i | \(-0.495619\pi\) |
−0.903828 | + | 0.427895i | \(0.859255\pi\) | |||||||
\(384\) | 0.959493 | − | 0.281733i | 0.0489639 | − | 0.0143771i | ||||
\(385\) | 10.4216 | − | 72.4842i | 0.531136 | − | 3.69413i | ||||
\(386\) | 3.54355 | + | 7.75930i | 0.180362 | + | 0.394938i | ||||
\(387\) | −1.40214 | − | 9.75211i | −0.0712749 | − | 0.495728i | ||||
\(388\) | 15.8794 | − | 10.2051i | 0.806155 | − | 0.518084i | ||||
\(389\) | 22.5491 | − | 26.0230i | 1.14328 | − | 1.31942i | 0.202939 | − | 0.979191i | \(-0.434951\pi\) |
0.940343 | − | 0.340227i | \(-0.110504\pi\) | |||||||
\(390\) | −12.6810 | −0.642128 | ||||||||
\(391\) | 7.04113 | + | 5.22790i | 0.356085 | + | 0.264386i | ||||
\(392\) | 10.3172 | 0.521099 | ||||||||
\(393\) | 4.92385 | − | 5.68243i | 0.248375 | − | 0.286641i | ||||
\(394\) | 2.76779 | − | 1.77875i | 0.139439 | − | 0.0896123i | ||||
\(395\) | 4.66622 | + | 32.4542i | 0.234783 | + | 1.63295i | ||||
\(396\) | 1.88110 | + | 4.11904i | 0.0945290 | + | 0.206990i | ||||
\(397\) | 3.76408 | − | 26.1797i | 0.188914 | − | 1.31392i | −0.645913 | − | 0.763411i | \(-0.723523\pi\) |
0.834827 | − | 0.550513i | \(-0.185568\pi\) | |||||||
\(398\) | −19.2150 | + | 5.64203i | −0.963161 | + | 0.282810i | ||||
\(399\) | −4.78083 | − | 3.07246i | −0.239341 | − | 0.153815i | ||||
\(400\) | 4.19650 | − | 9.18906i | 0.209825 | − | 0.459453i | ||||
\(401\) | 17.1744 | + | 5.04286i | 0.857649 | + | 0.251829i | 0.680854 | − | 0.732419i | \(-0.261609\pi\) |
0.176795 | + | 0.984248i | \(0.443427\pi\) | |||||||
\(402\) | −4.11751 | − | 4.75186i | −0.205363 | − | 0.237001i | ||||
\(403\) | −9.90793 | − | 11.4344i | −0.493549 | − | 0.569586i | ||||
\(404\) | 1.05838 | + | 0.310768i | 0.0526563 | + | 0.0154613i | ||||
\(405\) | −1.61435 | + | 3.53494i | −0.0802179 | + | 0.175653i | ||||
\(406\) | 1.96434 | + | 1.26241i | 0.0974886 | + | 0.0626522i | ||||
\(407\) | −10.9442 | + | 3.21350i | −0.542482 | + | 0.159287i | ||||
\(408\) | −0.260239 | + | 1.81001i | −0.0128838 | + | 0.0896086i | ||||
\(409\) | −3.93720 | − | 8.62128i | −0.194682 | − | 0.426295i | 0.786966 | − | 0.616997i | \(-0.211651\pi\) |
−0.981648 | + | 0.190702i | \(0.938924\pi\) | |||||||
\(410\) | −3.38330 | − | 23.5313i | −0.167089 | − | 1.16213i | ||||
\(411\) | 12.0304 | − | 7.73145i | 0.593414 | − | 0.381364i | ||||
\(412\) | −2.20457 | + | 2.54421i | −0.108612 | + | 0.125344i | ||||
\(413\) | −29.7649 | −1.46464 | ||||||||
\(414\) | −4.78492 | − | 0.323343i | −0.235166 | − | 0.0158914i | ||||
\(415\) | 1.46519 | 0.0719232 | ||||||||
\(416\) | 2.13691 | − | 2.46613i | 0.104771 | − | 0.120912i | ||||
\(417\) | −18.3396 | + | 11.7861i | −0.898092 | + | 0.577169i | ||||
\(418\) | −0.880072 | − | 6.12103i | −0.0430457 | − | 0.299390i | ||||
\(419\) | −9.31071 | − | 20.3876i | −0.454858 | − | 0.996000i | −0.988630 | − | 0.150372i | \(-0.951953\pi\) |
0.533771 | − | 0.845629i | \(-0.320774\pi\) | |||||||
\(420\) | −2.30147 | + | 16.0071i | −0.112300 | + | 0.781067i | ||||
\(421\) | 1.46821 | − | 0.431105i | 0.0715561 | − | 0.0210108i | −0.245759 | − | 0.969331i | \(-0.579037\pi\) |
0.317315 | + | 0.948320i | \(0.397219\pi\) | |||||||
\(422\) | 2.20682 | + | 1.41823i | 0.107426 | + | 0.0690386i | ||||
\(423\) | 0.989217 | − | 2.16608i | 0.0480974 | − | 0.105319i | ||||
\(424\) | −10.1804 | − | 2.98924i | −0.494405 | − | 0.145171i | ||||
\(425\) | 12.0970 | + | 13.9607i | 0.586790 | + | 0.677192i | ||||
\(426\) | −4.22647 | − | 4.87760i | −0.204773 | − | 0.236321i | ||||
\(427\) | 13.0040 | + | 3.81832i | 0.629308 | + | 0.184781i | ||||
\(428\) | −4.36118 | + | 9.54966i | −0.210806 | + | 0.461600i | ||||
\(429\) | 12.4307 | + | 7.98871i | 0.600159 | + | 0.385699i | ||||
\(430\) | 36.7367 | − | 10.7869i | 1.77160 | − | 0.520189i | ||||
\(431\) | −0.0173124 | + | 0.120411i | −0.000833910 | + | 0.00579997i | −0.990234 | − | 0.139414i | \(-0.955478\pi\) |
0.989400 | + | 0.145214i | \(0.0463871\pi\) | |||||||
\(432\) | −0.415415 | − | 0.909632i | −0.0199867 | − | 0.0437647i | ||||
\(433\) | −4.98003 | − | 34.6369i | −0.239325 | − | 1.66454i | −0.655452 | − | 0.755236i | \(-0.727522\pi\) |
0.416127 | − | 0.909306i | \(-0.363387\pi\) | |||||||
\(434\) | −16.2317 | + | 10.4315i | −0.779144 | + | 0.500726i | ||||
\(435\) | −1.42796 | + | 1.64795i | −0.0684655 | + | 0.0790134i | ||||
\(436\) | −1.27668 | −0.0611418 | ||||||||
\(437\) | 6.14540 | + | 2.26466i | 0.293974 | + | 0.108334i | ||||
\(438\) | −12.3533 | −0.590262 | ||||||||
\(439\) | 14.1236 | − | 16.2995i | 0.674082 | − | 0.777932i | −0.310927 | − | 0.950434i | \(-0.600640\pi\) |
0.985009 | + | 0.172502i | \(0.0551850\pi\) | |||||||
\(440\) | −14.8038 | + | 9.51384i | −0.705745 | + | 0.453554i | ||||
\(441\) | −1.46830 | − | 10.2122i | −0.0699189 | − | 0.486296i | ||||
\(442\) | 2.47881 | + | 5.42783i | 0.117905 | + | 0.258176i | ||||
\(443\) | 0.470047 | − | 3.26925i | 0.0223326 | − | 0.155327i | −0.975604 | − | 0.219539i | \(-0.929545\pi\) |
0.997936 | + | 0.0642127i | \(0.0204536\pi\) | |||||||
\(444\) | 2.41686 | − | 0.709655i | 0.114699 | − | 0.0336787i | ||||
\(445\) | −49.7082 | − | 31.9455i | −2.35640 | − | 1.51436i | ||||
\(446\) | 1.41615 | − | 3.10093i | 0.0670566 | − | 0.146833i | ||||
\(447\) | −1.99665 | − | 0.586268i | −0.0944381 | − | 0.0277295i | ||||
\(448\) | −2.72514 | − | 3.14498i | −0.128751 | − | 0.148586i | ||||
\(449\) | −14.5964 | − | 16.8451i | −0.688846 | − | 0.794971i | 0.298354 | − | 0.954455i | \(-0.403562\pi\) |
−0.987200 | + | 0.159484i | \(0.949017\pi\) | |||||||
\(450\) | −9.69275 | − | 2.84605i | −0.456921 | − | 0.134164i | ||||
\(451\) | −11.5076 | + | 25.1982i | −0.541873 | + | 1.18654i | ||||
\(452\) | 14.8828 | + | 9.56462i | 0.700030 | + | 0.449882i | ||||
\(453\) | 18.0081 | − | 5.28767i | 0.846097 | − | 0.248436i | ||||
\(454\) | −2.10719 | + | 14.6558i | −0.0988954 | + | 0.687832i | ||||
\(455\) | 21.9218 | + | 48.0020i | 1.02771 | + | 2.25037i | ||||
\(456\) | 0.194351 | + | 1.35174i | 0.00910134 | + | 0.0633012i | ||||
\(457\) | −30.3801 | + | 19.5241i | −1.42112 | + | 0.913299i | −0.421141 | + | 0.906995i | \(0.638370\pi\) |
−0.999980 | + | 0.00630408i | \(0.997993\pi\) | |||||||
\(458\) | −6.41479 | + | 7.40306i | −0.299743 | + | 0.345922i | ||||
\(459\) | 1.82862 | 0.0853526 | ||||||||
\(460\) | −1.40255 | − | 18.5843i | −0.0653944 | − | 0.866499i | ||||
\(461\) | 31.5662 | 1.47018 | 0.735091 | − | 0.677968i | \(-0.237139\pi\) | ||||
0.735091 | + | 0.677968i | \(0.237139\pi\) | |||||||
\(462\) | 12.3401 | − | 14.2412i | 0.574113 | − | 0.662562i | ||||
\(463\) | −23.4268 | + | 15.0555i | −1.08874 | + | 0.699688i | −0.956559 | − | 0.291538i | \(-0.905833\pi\) |
−0.132177 | + | 0.991226i | \(0.542197\pi\) | |||||||
\(464\) | −0.0798548 | − | 0.555402i | −0.00370717 | − | 0.0257839i | ||||
\(465\) | −7.48506 | − | 16.3900i | −0.347111 | − | 0.760068i | ||||
\(466\) | 0.562901 | − | 3.91507i | 0.0260759 | − | 0.181362i | ||||
\(467\) | −0.565960 | + | 0.166181i | −0.0261895 | + | 0.00768994i | −0.294801 | − | 0.955559i | \(-0.595253\pi\) |
0.268612 | + | 0.963249i | \(0.413435\pi\) | |||||||
\(468\) | −2.74514 | − | 1.76419i | −0.126894 | − | 0.0815499i | ||||
\(469\) | −10.8694 | + | 23.8008i | −0.501904 | + | 1.09902i | ||||
\(470\) | 8.87908 | + | 2.60713i | 0.409561 | + | 0.120258i | ||||
\(471\) | −1.30653 | − | 1.50782i | −0.0602017 | − | 0.0694765i | ||||
\(472\) | 4.68397 | + | 5.40559i | 0.215597 | + | 0.248813i | ||||
\(473\) | −42.8069 | − | 12.5692i | −1.96826 | − | 0.577935i | ||||
\(474\) | −3.50494 | + | 7.67474i | −0.160987 | + | 0.352513i | ||||
\(475\) | 11.6057 | + | 7.45850i | 0.532504 | + | 0.342219i | ||||
\(476\) | 7.30137 | − | 2.14387i | 0.334658 | − | 0.0982643i | ||||
\(477\) | −1.50999 | + | 10.5022i | −0.0691378 | + | 0.480864i | ||||
\(478\) | −4.08249 | − | 8.93942i | −0.186729 | − | 0.408879i | ||||
\(479\) | 1.46379 | + | 10.1809i | 0.0668823 | + | 0.465177i | 0.995548 | + | 0.0942583i | \(0.0300480\pi\) |
−0.928665 | + | 0.370918i | \(0.879043\pi\) | |||||||
\(480\) | 3.26921 | − | 2.10100i | 0.149219 | − | 0.0958969i | ||||
\(481\) | 5.38266 | − | 6.21192i | 0.245428 | − | 0.283239i | ||||
\(482\) | 21.6867 | 0.987804 | ||||||||
\(483\) | 7.04776 | + | 18.6715i | 0.320684 | + | 0.849583i | ||||
\(484\) | 9.50505 | 0.432048 | ||||||||
\(485\) | 48.0367 | − | 55.4373i | 2.18123 | − | 2.51728i | ||||
\(486\) | −0.841254 | + | 0.540641i | −0.0381600 | + | 0.0245240i | ||||
\(487\) | 3.91425 | + | 27.2242i | 0.177372 | + | 1.23365i | 0.862814 | + | 0.505521i | \(0.168700\pi\) |
−0.685443 | + | 0.728127i | \(0.740391\pi\) | |||||||
\(488\) | −1.35294 | − | 2.96252i | −0.0612446 | − | 0.134107i | ||||
\(489\) | 0.0994738 | − | 0.691855i | 0.00449836 | − | 0.0312868i | ||||
\(490\) | 38.4700 | − | 11.2958i | 1.73790 | − | 0.510292i | ||||
\(491\) | 7.39546 | + | 4.75278i | 0.333753 | + | 0.214490i | 0.696773 | − | 0.717291i | \(-0.254618\pi\) |
−0.363021 | + | 0.931781i | \(0.618255\pi\) | |||||||
\(492\) | 2.54130 | − | 5.56467i | 0.114571 | − | 0.250875i | ||||
\(493\) | 0.984500 | + | 0.289075i | 0.0443396 | + | 0.0130193i | ||||
\(494\) | 2.91826 | + | 3.36785i | 0.131299 | + | 0.151527i | ||||
\(495\) | 11.5238 | + | 13.2992i | 0.517957 | + | 0.597754i | ||||
\(496\) | 4.44875 | + | 1.30627i | 0.199755 | + | 0.0586534i | ||||
\(497\) | −11.1571 | + | 24.4306i | −0.500463 | + | 1.09586i | ||||
\(498\) | 0.317178 | + | 0.203838i | 0.0142131 | + | 0.00913420i | ||||
\(499\) | −22.5980 | + | 6.63537i | −1.01163 | + | 0.297040i | −0.745218 | − | 0.666821i | \(-0.767655\pi\) |
−0.266407 | + | 0.963861i | \(0.585837\pi\) | |||||||
\(500\) | 2.82165 | − | 19.6250i | 0.126188 | − | 0.877656i | ||||
\(501\) | −2.08886 | − | 4.57396i | −0.0933233 | − | 0.204349i | ||||
\(502\) | 1.06037 | + | 7.37506i | 0.0473268 | + | 0.329165i | ||||
\(503\) | 5.74416 | − | 3.69155i | 0.256119 | − | 0.164598i | −0.406280 | − | 0.913748i | \(-0.633174\pi\) |
0.662400 | + | 0.749151i | \(0.269538\pi\) | |||||||
\(504\) | −2.72514 | + | 3.14498i | −0.121387 | + | 0.140088i | ||||
\(505\) | 4.28663 | 0.190752 | ||||||||
\(506\) | −10.3328 | + | 19.1010i | −0.459348 | + | 0.849145i | ||||
\(507\) | 2.35183 | 0.104449 | ||||||||
\(508\) | −6.61277 | + | 7.63154i | −0.293394 | + | 0.338595i | ||||
\(509\) | 15.7629 | − | 10.1302i | 0.698680 | − | 0.449014i | −0.142482 | − | 0.989797i | \(-0.545508\pi\) |
0.841162 | + | 0.540783i | \(0.181872\pi\) | |||||||
\(510\) | 1.01132 | + | 7.03390i | 0.0447821 | + | 0.311466i | ||||
\(511\) | 21.3552 | + | 46.7613i | 0.944698 | + | 2.06860i | ||||
\(512\) | −0.142315 | + | 0.989821i | −0.00628949 | + | 0.0437443i | ||||
\(513\) | 1.31033 | − | 0.384746i | 0.0578523 | − | 0.0169870i | ||||
\(514\) | 3.45133 | + | 2.21804i | 0.152232 | + | 0.0978335i | ||||
\(515\) | −5.43469 | + | 11.9003i | −0.239481 | + | 0.524390i | ||||
\(516\) | 9.45330 | + | 2.77574i | 0.416158 | + | 0.122195i | ||||
\(517\) | −7.06137 | − | 8.14926i | −0.310559 | − | 0.358404i | ||||
\(518\) | −6.86434 | − | 7.92187i | −0.301602 | − | 0.348067i | ||||
\(519\) | −8.33087 | − | 2.44617i | −0.365685 | − | 0.107375i | ||||
\(520\) | 5.26788 | − | 11.5351i | 0.231012 | − | 0.505846i | ||||
\(521\) | 26.2821 | + | 16.8905i | 1.15144 | + | 0.739986i | 0.969926 | − | 0.243402i | \(-0.0782633\pi\) |
0.181516 | + | 0.983388i | \(0.441900\pi\) | |||||||
\(522\) | −0.538385 | + | 0.158084i | −0.0235645 | + | 0.00691915i | ||||
\(523\) | −1.94917 | + | 13.5568i | −0.0852312 | + | 0.592796i | 0.901786 | + | 0.432182i | \(0.142256\pi\) |
−0.987017 | + | 0.160613i | \(0.948653\pi\) | |||||||
\(524\) | 3.12348 | + | 6.83946i | 0.136450 | + | 0.298783i | ||||
\(525\) | 5.98267 | + | 41.6103i | 0.261105 | + | 1.81602i | ||||
\(526\) | −22.5494 | + | 14.4916i | −0.983202 | + | 0.631866i | ||||
\(527\) | −5.55224 | + | 6.40763i | −0.241860 | + | 0.279121i | ||||
\(528\) | −4.52825 | −0.197067 | ||||||||
\(529\) | −12.5863 | − | 19.2506i | −0.547231 | − | 0.836981i | ||||
\(530\) | −41.2326 | −1.79103 | ||||||||
\(531\) | 4.68397 | − | 5.40559i | 0.203267 | − | 0.234583i | ||||
\(532\) | 4.78083 | − | 3.07246i | 0.207275 | − | 0.133208i | ||||
\(533\) | −2.84093 | − | 19.7591i | −0.123054 | − | 0.855863i | ||||
\(534\) | −6.31636 | − | 13.8309i | −0.273336 | − | 0.598522i | ||||
\(535\) | −5.80616 | + | 40.3827i | −0.251022 | + | 1.74590i | ||||
\(536\) | 6.03292 | − | 1.77143i | 0.260583 | − | 0.0765139i | ||||
\(537\) | 9.73773 | + | 6.25806i | 0.420214 | + | 0.270055i | ||||
\(538\) | −2.38572 | + | 5.22400i | −0.102856 | + | 0.225223i | ||||
\(539\) | −44.8266 | − | 13.1623i | −1.93082 | − | 0.566939i | ||||
\(540\) | −2.54487 | − | 2.93694i | −0.109514 | − | 0.126386i | ||||
\(541\) | −15.6006 | − | 18.0041i | −0.670723 | − | 0.774055i | 0.313766 | − | 0.949500i | \(-0.398409\pi\) |
−0.984489 | + | 0.175445i | \(0.943864\pi\) | |||||||
\(542\) | −6.65501 | − | 1.95409i | −0.285857 | − | 0.0839352i | ||||
\(543\) | 1.08577 | − | 2.37749i | 0.0465947 | − | 0.102028i | ||||
\(544\) | −1.53833 | − | 0.988626i | −0.0659554 | − | 0.0423870i | ||||
\(545\) | −4.76036 | + | 1.39777i | −0.203912 | + | 0.0598738i | ||||
\(546\) | −1.93253 | + | 13.4411i | −0.0827048 | + | 0.575224i | ||||
\(547\) | −9.15200 | − | 20.0401i | −0.391311 | − | 0.856852i | −0.998078 | − | 0.0619723i | \(-0.980261\pi\) |
0.606766 | − | 0.794880i | \(-0.292466\pi\) | |||||||
\(548\) | 2.03518 | + | 14.1550i | 0.0869385 | + | 0.604670i | ||||
\(549\) | −2.73982 | + | 1.76078i | −0.116933 | + | 0.0751482i | ||||
\(550\) | −29.9561 | + | 34.5711i | −1.27733 | + | 1.47412i | ||||
\(551\) | 0.766281 | 0.0326447 | ||||||||
\(552\) | 2.28185 | − | 4.21819i | 0.0971220 | − | 0.179538i | ||||
\(553\) | 35.1105 | 1.49305 | ||||||||
\(554\) | 2.49518 | − | 2.87959i | 0.106010 | − | 0.122342i | ||||
\(555\) | 8.23481 | − | 5.29219i | 0.349548 | − | 0.224641i | ||||
\(556\) | −3.10250 | − | 21.5784i | −0.131575 | − | 0.915127i | ||||
\(557\) | 4.15715 | + | 9.10289i | 0.176144 | + | 0.385702i | 0.977026 | − | 0.213121i | \(-0.0683628\pi\) |
−0.800882 | + | 0.598822i | \(0.795636\pi\) | |||||||
\(558\) | 0.659852 | − | 4.58937i | 0.0279338 | − | 0.194284i | ||||
\(559\) | 30.8476 | − | 9.05767i | 1.30471 | − | 0.383098i | ||||
\(560\) | −13.6045 | − | 8.74308i | −0.574895 | − | 0.369463i | ||||
\(561\) | 3.43982 | − | 7.53215i | 0.145229 | − | 0.318008i | ||||
\(562\) | −17.4366 | − | 5.11985i | −0.735519 | − | 0.215968i | ||||
\(563\) | −8.93843 | − | 10.3155i | −0.376710 | − | 0.434747i | 0.535459 | − | 0.844561i | \(-0.320139\pi\) |
−0.912169 | + | 0.409815i | \(0.865593\pi\) | |||||||
\(564\) | 1.55940 | + | 1.79965i | 0.0656627 | + | 0.0757788i | ||||
\(565\) | 65.9655 | + | 19.3692i | 2.77519 | + | 0.814870i | ||||
\(566\) | −7.10232 | + | 15.5519i | −0.298533 | + | 0.653696i | ||||
\(567\) | 3.50079 | + | 2.24982i | 0.147019 | + | 0.0944836i | ||||
\(568\) | 6.19256 | − | 1.81830i | 0.259834 | − | 0.0762942i | ||||
\(569\) | −2.92081 | + | 20.3147i | −0.122447 | + | 0.851637i | 0.832323 | + | 0.554291i | \(0.187011\pi\) |
−0.954770 | + | 0.297346i | \(0.903899\pi\) | |||||||
\(570\) | 2.20463 | + | 4.82747i | 0.0923419 | + | 0.202200i | ||||
\(571\) | 1.46949 | + | 10.2205i | 0.0614963 | + | 0.427716i | 0.997191 | + | 0.0749046i | \(0.0238652\pi\) |
−0.935694 | + | 0.352812i | \(0.885226\pi\) | |||||||
\(572\) | −12.4307 | + | 7.98871i | −0.519753 | + | 0.334025i | ||||
\(573\) | 4.02823 | − | 4.64883i | 0.168282 | − | 0.194208i | ||||
\(574\) | −25.4573 | −1.06257 | ||||||||
\(575\) | −17.1087 | − | 45.3258i | −0.713482 | − | 1.89022i | ||||
\(576\) | 1.00000 | 0.0416667 | ||||||||
\(577\) | −26.7283 | + | 30.8461i | −1.11271 | + | 1.28414i | −0.157728 | + | 0.987483i | \(0.550417\pi\) |
−0.954984 | + | 0.296656i | \(0.904129\pi\) | |||||||
\(578\) | −11.4883 | + | 7.38308i | −0.477850 | + | 0.307095i | ||||
\(579\) | 1.21397 | + | 8.44333i | 0.0504508 | + | 0.350893i | ||||
\(580\) | −0.905836 | − | 1.98350i | −0.0376128 | − | 0.0823605i | ||||
\(581\) | 0.223288 | − | 1.55300i | 0.00926356 | − | 0.0644295i | ||||
\(582\) | 18.1113 | − | 5.31795i | 0.750737 | − | 0.220436i | ||||
\(583\) | 40.4186 | + | 25.9755i | 1.67397 | + | 1.07579i | ||||
\(584\) | 5.13173 | − | 11.2369i | 0.212353 | − | 0.464987i | ||||
\(585\) | −12.1673 | − | 3.57265i | −0.503058 | − | 0.147711i | ||||
\(586\) | 8.54886 | + | 9.86591i | 0.353150 | + | 0.407557i | ||||
\(587\) | −28.1493 | − | 32.4861i | −1.16185 | − | 1.34084i | −0.929768 | − | 0.368146i | \(-0.879993\pi\) |
−0.232079 | − | 0.972697i | \(-0.574553\pi\) | |||||||
\(588\) | 9.89932 | + | 2.90670i | 0.408241 | + | 0.119870i | ||||
\(589\) | −2.63037 | + | 5.75970i | −0.108382 | + | 0.237324i | ||||
\(590\) | 23.3835 | + | 15.0276i | 0.962682 | + | 0.618678i | ||||
\(591\) | 3.15681 | − | 0.926923i | 0.129854 | − | 0.0381285i | ||||
\(592\) | −0.358476 | + | 2.49326i | −0.0147333 | + | 0.102472i | ||||
\(593\) | −10.3634 | − | 22.6928i | −0.425576 | − | 0.931881i | −0.994024 | − | 0.109162i | \(-0.965183\pi\) |
0.568448 | − | 0.822719i | \(-0.307544\pi\) | |||||||
\(594\) | 0.644437 | + | 4.48216i | 0.0264416 | + | 0.183905i | ||||
\(595\) | 24.8774 | − | 15.9878i | 1.01988 | − | 0.655434i | ||||
\(596\) | 1.36272 | − | 1.57267i | 0.0558194 | − | 0.0644190i | ||||
\(597\) | −20.0262 | −0.819618 | ||||||||
\(598\) | −1.17772 | − | 15.6052i | −0.0481604 | − | 0.638142i | ||||
\(599\) | 33.7284 | 1.37811 | 0.689053 | − | 0.724711i | \(-0.258027\pi\) | ||||
0.689053 | + | 0.724711i | \(0.258027\pi\) | |||||||
\(600\) | 6.61537 | − | 7.63454i | 0.270071 | − | 0.311679i | ||||
\(601\) | 33.5327 | − | 21.5502i | 1.36783 | − | 0.879049i | 0.369095 | − | 0.929392i | \(-0.379668\pi\) |
0.998732 | + | 0.0503423i | \(0.0160312\pi\) | |||||||
\(602\) | −5.83487 | − | 40.5824i | −0.237812 | − | 1.65402i | ||||
\(603\) | −2.61197 | − | 5.71942i | −0.106368 | − | 0.232913i | ||||
\(604\) | −2.67102 | + | 18.5774i | −0.108682 | + | 0.755902i | ||||
\(605\) | 35.4416 | − | 10.4066i | 1.44090 | − | 0.423088i | ||||
\(606\) | 0.927953 | + | 0.596359i | 0.0376955 | + | 0.0242254i | ||||
\(607\) | 11.9674 | − | 26.2049i | 0.485741 | − | 1.06362i | −0.495104 | − | 0.868834i | \(-0.664870\pi\) |
0.980845 | − | 0.194790i | \(-0.0624027\pi\) | |||||||
\(608\) | −1.31033 | − | 0.384746i | −0.0531407 | − | 0.0156035i | ||||
\(609\) | 1.52911 | + | 1.76469i | 0.0619627 | + | 0.0715088i | ||||
\(610\) | −8.28822 | − | 9.56512i | −0.335580 | − | 0.387280i | ||||
\(611\) | 7.45571 | + | 2.18919i | 0.301626 | + | 0.0885653i | ||||
\(612\) | −0.759635 | + | 1.66337i | −0.0307064 | + | 0.0672377i | ||||
\(613\) | −24.3644 | − | 15.6581i | −0.984070 | − | 0.632423i | −0.0535115 | − | 0.998567i | \(-0.517041\pi\) |
−0.930558 | + | 0.366144i | \(0.880678\pi\) | |||||||
\(614\) | 23.1100 | − | 6.78571i | 0.932644 | − | 0.273849i | ||||
\(615\) | 3.38330 | − | 23.5313i | 0.136428 | − | 0.948876i | ||||
\(616\) | 7.82802 | + | 17.1410i | 0.315400 | + | 0.690629i | ||||
\(617\) | 3.70256 | + | 25.7519i | 0.149060 | + | 1.03673i | 0.917764 | + | 0.397127i | \(0.129993\pi\) |
−0.768704 | + | 0.639605i | \(0.779098\pi\) | |||||||
\(618\) | −2.83206 | + | 1.82006i | −0.113922 | + | 0.0732134i | ||||
\(619\) | −13.9138 | + | 16.0574i | −0.559244 | + | 0.645402i | −0.963012 | − | 0.269459i | \(-0.913155\pi\) |
0.403768 | + | 0.914862i | \(0.367700\pi\) | |||||||
\(620\) | 18.0183 | 0.723631 | ||||||||
\(621\) | −4.50000 | − | 1.65831i | −0.180579 | − | 0.0665458i | ||||
\(622\) | 2.64709 | 0.106139 | ||||||||
\(623\) | −41.4355 | + | 47.8192i | −1.66008 | + | 1.91583i | ||||
\(624\) | 2.74514 | − | 1.76419i | 0.109894 | − | 0.0706243i | ||||
\(625\) | −3.77698 | − | 26.2695i | −0.151079 | − | 1.05078i | ||||
\(626\) | −10.3916 | − | 22.7544i | −0.415332 | − | 0.909450i | ||||
\(627\) | 0.880072 | − | 6.12103i | 0.0351467 | − | 0.244451i | ||||
\(628\) | 1.91431 | − | 0.562092i | 0.0763892 | − | 0.0224299i | ||||
\(629\) | −3.87490 | − | 2.49025i | −0.154502 | − | 0.0992926i | ||||
\(630\) | −6.71797 | + | 14.7103i | −0.267650 | + | 0.586072i | ||||
\(631\) | −16.4814 | − | 4.83937i | −0.656113 | − | 0.192652i | −0.0633031 | − | 0.997994i | \(-0.520163\pi\) |
−0.592810 | + | 0.805342i | \(0.701982\pi\) | |||||||
\(632\) | −5.52519 | − | 6.37641i | −0.219780 | − | 0.253640i | ||||
\(633\) | 1.71786 | + | 1.98252i | 0.0682789 | + | 0.0787980i | ||||
\(634\) | 2.82112 | + | 0.828355i | 0.112041 | + | 0.0328982i | ||||
\(635\) | −16.3017 | + | 35.6957i | −0.646913 | + | 1.41654i | ||||
\(636\) | −8.92588 | − | 5.73632i | −0.353934 | − | 0.227460i | ||||
\(637\) | 32.3030 | − | 9.48501i | 1.27989 | − | 0.375810i | ||||
\(638\) | −0.361603 | + | 2.51500i | −0.0143160 | + | 0.0995698i | ||||
\(639\) | −2.68109 | − | 5.87076i | −0.106062 | − | 0.232244i | ||||
\(640\) | 0.553053 | + | 3.84657i | 0.0218613 | + | 0.152049i | ||||
\(641\) | −1.99719 | + | 1.28351i | −0.0788841 | + | 0.0506957i | −0.579488 | − | 0.814981i | \(-0.696748\pi\) |
0.500604 | + | 0.865676i | \(0.333111\pi\) | |||||||
\(642\) | −6.87497 | + | 7.93414i | −0.271334 | + | 0.313136i | ||||
\(643\) | 46.5640 | 1.83630 | 0.918152 | − | 0.396229i | \(-0.129681\pi\) | ||||
0.918152 | + | 0.396229i | \(0.129681\pi\) | |||||||
\(644\) | −19.9120 | − | 1.34556i | −0.784641 | − | 0.0530224i | ||||
\(645\) | 38.2876 | 1.50757 | ||||||||
\(646\) | 1.63534 | − | 1.88729i | 0.0643418 | − | 0.0742544i | ||||
\(647\) | −8.05133 | + | 5.17427i | −0.316530 | + | 0.203422i | −0.689252 | − | 0.724521i | \(-0.742061\pi\) |
0.372722 | + | 0.927943i | \(0.378425\pi\) | |||||||
\(648\) | −0.142315 | − | 0.989821i | −0.00559065 | − | 0.0388839i | ||||
\(649\) | −13.4548 | − | 29.4620i | −0.528148 | − | 1.15648i | ||||
\(650\) | 4.69130 | − | 32.6287i | 0.184008 | − | 1.27980i | ||||
\(651\) | −18.5130 | + | 5.43592i | −0.725583 | + | 0.213050i | ||||
\(652\) | 0.588011 | + | 0.377892i | 0.0230283 | + | 0.0147994i | ||||
\(653\) | −13.3634 | + | 29.2618i | −0.522951 | + | 1.14510i | 0.445359 | + | 0.895352i | \(0.353076\pi\) |
−0.968310 | + | 0.249751i | \(0.919651\pi\) | |||||||
\(654\) | −1.22496 | − | 0.359682i | −0.0478999 | − | 0.0140647i | ||||
\(655\) | 19.1347 | + | 22.0826i | 0.747654 | + | 0.862839i | ||||
\(656\) | 4.00611 | + | 4.62329i | 0.156412 | + | 0.180509i | ||||
\(657\) | −11.8529 | − | 3.48032i | −0.462425 | − | 0.135780i | ||||
\(658\) | 4.11653 | − | 9.01394i | 0.160479 | − | 0.351400i | ||||
\(659\) | 1.52992 | + | 0.983217i | 0.0595970 | + | 0.0383007i | 0.570100 | − | 0.821575i | \(-0.306904\pi\) |
−0.510503 | + | 0.859876i | \(0.670541\pi\) | |||||||
\(660\) | −16.8845 | + | 4.95774i | −0.657229 | + | 0.192980i | ||||
\(661\) | −5.79394 | + | 40.2978i | −0.225358 | + | 1.56740i | 0.491936 | + | 0.870631i | \(0.336289\pi\) |
−0.717295 | + | 0.696770i | \(0.754620\pi\) | |||||||
\(662\) | −0.506133 | − | 1.10828i | −0.0196714 | − | 0.0430744i | ||||
\(663\) | 0.849201 | + | 5.90632i | 0.0329802 | + | 0.229383i | ||||
\(664\) | −0.317178 | + | 0.203838i | −0.0123089 | + | 0.00791045i | ||||
\(665\) | 14.4625 | − | 16.6906i | 0.560830 | − | 0.647233i | ||||
\(666\) | 2.51890 | 0.0976053 | ||||||||
\(667\) | −2.16058 | − | 1.60419i | −0.0836579 | − | 0.0621144i | ||||
\(668\) | 5.02836 | 0.194553 | ||||||||
\(669\) | 2.23242 | − | 2.57635i | 0.0863103 | − | 0.0996074i | ||||
\(670\) | 20.5556 | − | 13.2103i | 0.794131 | − | 0.510357i | ||||
\(671\) | 2.09883 | + | 14.5977i | 0.0810243 | + | 0.563536i | ||||
\(672\) | −1.72871 | − | 3.78534i | −0.0666863 | − | 0.146023i | ||||
\(673\) | 1.83983 | − | 12.7963i | 0.0709204 | − | 0.493262i | −0.923143 | − | 0.384457i | \(-0.874389\pi\) |
0.994063 | − | 0.108805i | \(-0.0347024\pi\) | |||||||
\(674\) | −18.2914 | + | 5.37083i | −0.704557 | + | 0.206877i | ||||
\(675\) | −8.49830 | − | 5.46153i | −0.327100 | − | 0.210214i | ||||
\(676\) | −0.976986 | + | 2.13930i | −0.0375764 | + | 0.0822808i | ||||
\(677\) | −6.54833 | − | 1.92276i | −0.251673 | − | 0.0738978i | 0.153463 | − | 0.988154i | \(-0.450958\pi\) |
−0.405136 | + | 0.914257i | \(0.632776\pi\) | |||||||
\(678\) | 11.5853 | + | 13.3702i | 0.444931 | + | 0.513478i | ||||
\(679\) | −51.4394 | − | 59.3642i | −1.97406 | − | 2.27819i | ||||
\(680\) | −6.81838 | − | 2.00206i | −0.261473 | − | 0.0767754i | ||||
\(681\) | −6.15086 | + | 13.4685i | −0.235702 | + | 0.516114i | ||||
\(682\) | −17.6626 | − | 11.3510i | −0.676335 | − | 0.434654i | ||||
\(683\) | −1.81814 | + | 0.533855i | −0.0695693 | + | 0.0204274i | −0.316332 | − | 0.948649i | \(-0.602451\pi\) |
0.246763 | + | 0.969076i | \(0.420633\pi\) | |||||||
\(684\) | −0.194351 | + | 1.35174i | −0.00743121 | + | 0.0516852i | ||||
\(685\) | 23.0861 | + | 50.5515i | 0.882075 | + | 1.93147i | ||||
\(686\) | −1.96456 | − | 13.6638i | −0.0750074 | − | 0.521688i | ||||
\(687\) | −8.24062 | + | 5.29593i | −0.314399 | + | 0.202052i | ||||
\(688\) | −6.45195 | + | 7.44594i | −0.245978 | + | 0.283874i | ||||
\(689\) | −34.6228 | −1.31902 | ||||||||
\(690\) | 3.89007 | − | 18.2267i | 0.148093 | − | 0.693878i | ||||
\(691\) | −14.4219 | −0.548635 | −0.274317 | − | 0.961639i | \(-0.588452\pi\) | ||||
−0.274317 | + | 0.961639i | \(0.588452\pi\) | |||||||
\(692\) | 5.68588 | − | 6.56186i | 0.216145 | − | 0.249444i | ||||
\(693\) | 15.8525 | − | 10.1878i | 0.602185 | − | 0.387001i | ||||
\(694\) | 1.75853 | + | 12.2309i | 0.0667530 | + | 0.464278i | ||||
\(695\) | −35.1933 | − | 77.0627i | −1.33496 | − | 2.92315i | ||||
\(696\) | 0.0798548 | − | 0.555402i | 0.00302689 | − | 0.0210525i | ||||
\(697\) | −10.7334 | + | 3.15162i | −0.406557 | + | 0.119376i | ||||
\(698\) | −13.1919 | − | 8.47794i | −0.499322 | − | 0.320895i | ||||
\(699\) | 1.64310 | − | 3.59789i | 0.0621478 | − | 0.136085i | ||||
\(700\) | −40.3354 | − | 11.8435i | −1.52453 | − | 0.447644i | ||||
\(701\) | −23.6742 | − | 27.3215i | −0.894164 | − | 1.03192i | −0.999298 | − | 0.0374621i | \(-0.988073\pi\) |
0.105134 | − | 0.994458i | \(-0.466473\pi\) | |||||||
\(702\) | −2.13691 | − | 2.46613i | −0.0806525 | − | 0.0930779i | ||||
\(703\) | −3.30057 | − | 0.969136i | −0.124484 | − | 0.0365517i | ||||
\(704\) | 1.88110 | − | 4.11904i | 0.0708967 | − | 0.155242i | ||||
\(705\) | 7.78490 | + | 5.00305i | 0.293196 | + | 0.188426i | ||||
\(706\) | −29.2783 | + | 8.59688i | −1.10190 | + | 0.323548i | ||||
\(707\) | 0.653264 | − | 4.54355i | 0.0245685 | − | 0.170878i | ||||
\(708\) | 2.97131 | + | 6.50625i | 0.111669 | + | 0.244520i | ||||
\(709\) | −2.70692 | − | 18.8271i | −0.101661 | − | 0.707066i | −0.975363 | − | 0.220605i | \(-0.929197\pi\) |
0.873703 | − | 0.486461i | \(-0.161712\pi\) | |||||||
\(710\) | 21.0995 | − | 13.5598i | 0.791850 | − | 0.508891i | ||||
\(711\) | −5.52519 | + | 6.37641i | −0.207211 | + | 0.239134i | ||||
\(712\) | 15.2049 | 0.569829 | ||||||||
\(713\) | 19.4742 | − | 10.7332i | 0.729316 | − | 0.401963i | ||||
\(714\) | 7.60961 | 0.284782 | ||||||||
\(715\) | −37.6039 | + | 43.3973i | −1.40631 | + | 1.62297i | ||||
\(716\) | −9.73773 | + | 6.25806i | −0.363916 | + | 0.233875i | ||||
\(717\) | −1.39860 | − | 9.72748i | −0.0522317 | − | 0.363279i | ||||
\(718\) | 6.85337 | + | 15.0068i | 0.255766 | + | 0.560049i | ||||
\(719\) | 1.57451 | − | 10.9509i | 0.0587192 | − | 0.408401i | −0.939170 | − | 0.343454i | \(-0.888403\pi\) |
0.997889 | − | 0.0649469i | \(-0.0206878\pi\) | |||||||
\(720\) | 3.72871 | − | 1.09485i | 0.138961 | − | 0.0408025i | ||||
\(721\) | 11.7853 | + | 7.57398i | 0.438909 | + | 0.282070i | ||||
\(722\) | −7.11814 | + | 15.5866i | −0.264910 | + | 0.580072i | ||||
\(723\) | 20.8083 | + | 6.10986i | 0.773868 | + | 0.227228i | ||||
\(724\) | 1.71160 | + | 1.97529i | 0.0636112 | + | 0.0734112i | ||||
\(725\) | −3.71197 | − | 4.28385i | −0.137859 | − | 0.159098i | ||||
\(726\) | 9.12003 | + | 2.67788i | 0.338476 | + | 0.0993855i | ||||
\(727\) | −2.40641 | + | 5.26930i | −0.0892488 | + | 0.195428i | −0.948993 | − | 0.315297i | \(-0.897896\pi\) |
0.859744 | + | 0.510725i | \(0.170623\pi\) | |||||||
\(728\) | −11.4236 | − | 7.34151i | −0.423387 | − | 0.272095i | ||||
\(729\) | −0.959493 | + | 0.281733i | −0.0355368 | + | 0.0104345i | ||||
\(730\) | 6.83201 | − | 47.5177i | 0.252864 | − | 1.75871i | ||||
\(731\) | −7.48423 | − | 16.3882i | −0.276814 | − | 0.606138i | ||||
\(732\) | −0.463496 | − | 3.22369i | −0.0171313 | − | 0.119151i | ||||
\(733\) | −12.4548 | + | 8.00421i | −0.460028 | + | 0.295642i | −0.750054 | − | 0.661377i | \(-0.769972\pi\) |
0.290026 | + | 0.957019i | \(0.406336\pi\) | |||||||
\(734\) | 18.1339 | − | 20.9276i | 0.669335 | − | 0.772453i | ||||
\(735\) | 40.0941 | 1.47889 | ||||||||
\(736\) | 2.88909 | + | 3.82794i | 0.106493 | + | 0.141100i | ||||
\(737\) | −28.4719 | −1.04878 | ||||||||
\(738\) | 4.00611 | − | 4.62329i | 0.147467 | − | 0.170186i | ||||
\(739\) | 3.09958 | − | 1.99198i | 0.114020 | − | 0.0732762i | −0.482388 | − | 0.875958i | \(-0.660230\pi\) |
0.596408 | + | 0.802681i | \(0.296594\pi\) | |||||||
\(740\) | 1.39308 | + | 9.68911i | 0.0512108 | + | 0.356179i | ||||
\(741\) | 1.85122 | + | 4.05360i | 0.0680061 | + | 0.148913i | ||||
\(742\) | −6.28368 | + | 43.7039i | −0.230681 | + | 1.60442i | ||||
\(743\) | 38.9084 | − | 11.4245i | 1.42741 | − | 0.419125i | 0.525405 | − | 0.850852i | \(-0.323914\pi\) |
0.902004 | + | 0.431727i | \(0.142096\pi\) | |||||||
\(744\) | 3.90053 | + | 2.50672i | 0.143000 | + | 0.0919007i | ||||
\(745\) | 3.35937 | − | 7.35599i | 0.123078 | − | 0.269503i | ||||
\(746\) | 19.5377 | + | 5.73680i | 0.715327 | + | 0.210039i | ||||
\(747\) | 0.246902 | + | 0.284941i | 0.00903369 | + | 0.0104254i | ||||
\(748\) | 5.42254 | + | 6.25794i | 0.198268 | + | 0.228813i | ||||
\(749\) | 41.9182 | + | 12.3083i | 1.53166 | + | 0.449736i | ||||
\(750\) | 8.23635 | − | 18.0351i | 0.300749 | − | 0.658548i | ||||
\(751\) | 13.5084 | + | 8.68135i | 0.492930 | + | 0.316787i | 0.763383 | − | 0.645946i | \(-0.223537\pi\) |
−0.270453 | + | 0.962733i | \(0.587173\pi\) | |||||||
\(752\) | −2.28482 | + | 0.670883i | −0.0833187 | + | 0.0244646i | ||||
\(753\) | −1.06037 | + | 7.37506i | −0.0386422 | + | 0.268762i | ||||
\(754\) | −0.760625 | − | 1.66554i | −0.0277003 | − | 0.0606552i | ||||
\(755\) | 10.3799 | + | 72.1939i | 0.377764 | + | 2.62741i | ||||
\(756\) | −3.50079 | + | 2.24982i | −0.127323 | + | 0.0818252i | ||||
\(757\) | 30.5222 | − | 35.2245i | 1.10935 | − | 1.28026i | 0.152937 | − | 0.988236i | \(-0.451127\pi\) |
0.956412 | − | 0.292021i | \(-0.0943277\pi\) | |||||||
\(758\) | −15.3289 | −0.556769 | ||||||||
\(759\) | −15.2956 | + | 15.4162i | −0.555196 | + | 0.559574i | ||||
\(760\) | −5.30706 | −0.192507 | ||||||||
\(761\) | 15.9058 | − | 18.3562i | 0.576584 | − | 0.665413i | −0.390283 | − | 0.920695i | \(-0.627623\pi\) |
0.966867 | + | 0.255282i | \(0.0821683\pi\) | |||||||
\(762\) | −8.49496 | + | 5.45938i | −0.307740 | + | 0.197772i | ||||
\(763\) | 0.756086 | + | 5.25869i | 0.0273722 | + | 0.190377i | ||||
\(764\) | 2.55534 | + | 5.59540i | 0.0924488 | + | 0.202435i | ||||
\(765\) | −1.01132 | + | 7.03390i | −0.0365644 | + | 0.254311i | ||||
\(766\) | 19.8672 | − | 5.83353i | 0.717830 | − | 0.210774i | ||||
\(767\) | 19.6349 | + | 12.6186i | 0.708977 | + | 0.455632i | ||||
\(768\) | −0.415415 | + | 0.909632i | −0.0149900 | + | 0.0328235i | ||||
\(769\) | −17.6741 | − | 5.18957i | −0.637343 | − | 0.187141i | −0.0529313 | − | 0.998598i | \(-0.516856\pi\) |
−0.584412 | + | 0.811457i | \(0.698675\pi\) | |||||||
\(770\) | 47.9551 | + | 55.3432i | 1.72818 | + | 1.99443i | ||||
\(771\) | 2.68664 | + | 3.10055i | 0.0967569 | + | 0.111663i | ||||
\(772\) | −8.18462 | − | 2.40322i | −0.294571 | − | 0.0864938i | ||||
\(773\) | 0.380004 | − | 0.832092i | 0.0136678 | − | 0.0299283i | −0.902675 | − | 0.430323i | \(-0.858400\pi\) |
0.916343 | + | 0.400395i | \(0.131127\pi\) | |||||||
\(774\) | 8.28836 | + | 5.32661i | 0.297919 | + | 0.191461i | ||||
\(775\) | 44.9411 | − | 13.1959i | 1.61433 | − | 0.474011i | ||||
\(776\) | −2.68632 | + | 18.6838i | −0.0964332 | + | 0.670708i | ||||
\(777\) | −4.35444 | − | 9.53488i | −0.156214 | − | 0.342062i | ||||
\(778\) | 4.90038 | + | 34.0829i | 0.175687 | + | 1.22193i | ||||
\(779\) | −7.02810 | + | 4.51668i | −0.251808 | + | 0.161827i | ||||
\(780\) | 8.30430 | − | 9.58367i | 0.297342 | − | 0.343150i | ||||
\(781\) | −29.2253 | −1.04576 | ||||||||
\(782\) | −8.56194 | + | 1.89778i | −0.306174 | + | 0.0678645i | ||||
\(783\) | −0.561114 | −0.0200526 | ||||||||
\(784\) | −6.75635 | + | 7.79725i | −0.241298 | + | 0.278473i | ||||
\(785\) | 6.52249 | − | 4.19175i | 0.232798 | − | 0.149610i | ||||
\(786\) | 1.07006 | + | 7.44240i | 0.0381676 | + | 0.265462i | ||||
\(787\) | −9.92451 | − | 21.7317i | −0.353771 | − | 0.774650i | −0.999934 | − | 0.0114510i | \(-0.996355\pi\) |
0.646164 | − | 0.763199i | \(-0.276372\pi\) | |||||||
\(788\) | −0.468228 | + | 3.25659i | −0.0166799 | + | 0.116011i | ||||
\(789\) | −25.7188 | + | 7.55172i | −0.915613 | + | 0.268848i | ||||
\(790\) | −27.5830 | − | 17.7265i | −0.981359 | − | 0.630681i | ||||
\(791\) | 30.5830 | − | 66.9675i | 1.08741 | − | 2.38109i | ||||
\(792\) | −4.34482 | − | 1.27576i | −0.154387 | − | 0.0453320i | ||||
\(793\) | −6.95957 | − | 8.03177i | −0.247141 | − | 0.285216i | ||||
\(794\) | 17.3204 | + | 19.9888i | 0.614677 | + | 0.709376i | ||||
\(795\) | −39.5624 | − | 11.6166i | −1.40313 | − | 0.411997i | ||||
\(796\) | 8.31919 | − | 18.2165i | 0.294866 | − | 0.645666i | ||||
\(797\) | −27.0265 | − | 17.3689i | −0.957327 | − | 0.615237i | −0.0340698 | − | 0.999419i | \(-0.510847\pi\) |
−0.923257 | + | 0.384183i | \(0.874483\pi\) | |||||||
\(798\) | 5.45279 | − | 1.60108i | 0.193027 | − | 0.0566777i | ||||
\(799\) | 0.619702 | − | 4.31012i | 0.0219235 | − | 0.152481i | ||||
\(800\) | 4.19650 | + | 9.18906i | 0.148369 | + | 0.324882i | ||||
\(801\) | −2.16389 | − | 15.0502i | −0.0764573 | − | 0.531772i | ||||
\(802\) | −15.0580 | + | 9.67718i | −0.531716 | + | 0.341713i | ||||
\(803\) | −36.6320 | + | 42.2756i | −1.29272 | + | 1.49187i | ||||
\(804\) | 6.28762 | 0.221747 | ||||||||
\(805\) | −75.7190 | + | 16.7834i | −2.66875 | + | 0.591536i | ||||
\(806\) | 15.1298 | 0.532926 | ||||||||
\(807\) | −3.76086 | + | 4.34026i | −0.132388 | + | 0.152784i | ||||
\(808\) | −0.927953 | + | 0.596359i | −0.0326453 | + | 0.0209798i | ||||
\(809\) | 7.44818 | + | 51.8032i | 0.261864 | + | 1.82130i | 0.518823 | + | 0.854882i | \(0.326371\pi\) |
−0.256959 | + | 0.966422i | \(0.582720\pi\) | |||||||
\(810\) | −1.61435 | − | 3.53494i | −0.0567226 | − | 0.124205i | ||||
\(811\) | 6.61378 | − | 45.9998i | 0.232241 | − | 1.61527i | −0.456130 | − | 0.889913i | \(-0.650765\pi\) |
0.688371 | − | 0.725359i | \(-0.258326\pi\) | |||||||
\(812\) | −2.24043 | + | 0.657850i | −0.0786238 | + | 0.0230860i | ||||
\(813\) | −5.83490 | − | 3.74986i | −0.204639 | − | 0.131513i | ||||
\(814\) | 4.73830 | − | 10.3754i | 0.166077 | − | 0.363659i | ||||
\(815\) | 2.60625 | + | 0.765265i | 0.0912931 | + | 0.0268061i | ||||
\(816\) | −1.19749 | − | 1.38198i | −0.0419205 | − | 0.0483789i | ||||
\(817\) | −8.81106 | − | 10.1685i | −0.308260 | − | 0.355751i | ||||
\(818\) | 9.09385 | + | 2.67019i | 0.317959 | + | 0.0933612i | ||||
\(819\) | −5.64104 | + | 12.3521i | −0.197114 | + | 0.431619i | ||||
\(820\) | 19.9994 | + | 12.8528i | 0.698409 | + | 0.448840i | ||||
\(821\) | 15.3678 | − | 4.51238i | 0.536338 | − | 0.157483i | −0.00233589 | − | 0.999997i | \(-0.500744\pi\) |
0.538674 | + | 0.842514i | \(0.318925\pi\) | |||||||
\(822\) | −2.03518 | + | 14.1550i | −0.0709850 | + | 0.493711i | ||||
\(823\) | 20.3184 | + | 44.4912i | 0.708257 | + | 1.55087i | 0.829664 | + | 0.558263i | \(0.188532\pi\) |
−0.121408 | + | 0.992603i | \(0.538741\pi\) | |||||||
\(824\) | −0.479100 | − | 3.33221i | −0.0166902 | − | 0.116083i | ||||
\(825\) | −38.4824 | + | 24.7312i | −1.33979 | + | 0.861028i | ||||
\(826\) | 19.4919 | − | 22.4948i | 0.678209 | − | 0.782695i | ||||
\(827\) | 10.4217 | 0.362400 | 0.181200 | − | 0.983446i | \(-0.442002\pi\) | ||||
0.181200 | + | 0.983446i | \(0.442002\pi\) | |||||||
\(828\) | 3.37782 | − | 3.40446i | 0.117387 | − | 0.118313i | ||||
\(829\) | −0.753780 | −0.0261799 | −0.0130899 | − | 0.999914i | \(-0.504167\pi\) | ||||
−0.0130899 | + | 0.999914i | \(0.504167\pi\) | |||||||
\(830\) | −0.959493 | + | 1.10731i | −0.0333045 | + | 0.0384354i | ||||
\(831\) | 3.20538 | − | 2.05997i | 0.111193 | − | 0.0714596i | ||||
\(832\) | 0.464395 | + | 3.22994i | 0.0161000 | + | 0.111978i | ||||
\(833\) | −7.83734 | − | 17.1614i | −0.271548 | − | 0.594607i | ||||
\(834\) | 3.10250 | − | 21.5784i | 0.107431 | − | 0.747198i | ||||
\(835\) | 18.7493 | − | 5.50529i | 0.648846 | − | 0.190518i | ||||
\(836\) | 5.20229 | + | 3.34331i | 0.179925 | + | 0.115631i | ||||
\(837\) | 1.92610 | − | 4.21757i | 0.0665758 | − | 0.145781i | ||||
\(838\) | 21.5052 | + | 6.31448i | 0.742883 | + | 0.218130i | ||||
\(839\) | −6.01932 | − | 6.94666i | −0.207810 | − | 0.239825i | 0.642271 | − | 0.766478i | \(-0.277992\pi\) |
−0.850081 | + | 0.526652i | \(0.823447\pi\) | |||||||
\(840\) | −10.5902 | − | 12.2218i | −0.365397 | − | 0.421691i | ||||
\(841\) | 27.5232 | + | 8.08154i | 0.949076 | + | 0.278674i | ||||
\(842\) | −0.635664 | + | 1.39191i | −0.0219064 | + | 0.0479684i | ||||
\(843\) | −15.2879 | − | 9.82492i | −0.526542 | − | 0.338388i | ||||
\(844\) | −2.51699 | + | 0.739054i | −0.0866383 | + | 0.0254393i | ||||
\(845\) | −1.30069 | + | 9.04648i | −0.0447450 | + | 0.311208i | ||||
\(846\) | 0.989217 | + | 2.16608i | 0.0340100 | + | 0.0744715i | ||||
\(847\) | −5.62917 | − | 39.1517i | −0.193420 | − | 1.34527i | ||||
\(848\) | 8.92588 | − | 5.73632i | 0.306516 | − | 0.196986i | ||||
\(849\) | −11.1961 | + | 12.9210i | −0.384249 | + | 0.443447i | ||||
\(850\) | −18.4726 | −0.633605 | ||||||||
\(851\) | 7.27732 | + | 9.64220i | 0.249463 | + | 0.330530i | ||||
\(852\) | 6.45399 | 0.221110 | ||||||||
\(853\) | 24.6118 | − | 28.4036i | 0.842693 | − | 0.972520i | −0.157194 | − | 0.987568i | \(-0.550245\pi\) |
0.999887 | + | 0.0150481i | \(0.00479013\pi\) | |||||||
\(854\) | −11.4015 | + | 7.32730i | −0.390151 | + | 0.250735i | ||||
\(855\) | 0.755273 | + | 5.25304i | 0.0258298 | + | 0.179650i | ||||
\(856\) | −4.36118 | − | 9.54966i | −0.149062 | − | 0.326401i | ||||
\(857\) | −5.58420 | + | 38.8390i | −0.190753 | + | 1.32671i | 0.639269 | + | 0.768983i | \(0.279237\pi\) |
−0.830022 | + | 0.557731i | \(0.811672\pi\) | |||||||
\(858\) | −14.1778 | + | 4.16299i | −0.484023 | + | 0.142122i | ||||
\(859\) | 21.7427 | + | 13.9732i | 0.741853 | + | 0.476760i | 0.856176 | − | 0.516684i | \(-0.172834\pi\) |
−0.114324 | + | 0.993444i | \(0.536470\pi\) | |||||||
\(860\) | −15.9053 | + | 34.8276i | −0.542365 | + | 1.18761i | ||||
\(861\) | −24.4261 | − | 7.17216i | −0.832440 | − | 0.244426i | ||||
\(862\) | −0.0796630 | − | 0.0919360i | −0.00271333 | − | 0.00313135i | ||||
\(863\) | 35.7028 | + | 41.2032i | 1.21534 | + | 1.40257i | 0.889367 | + | 0.457195i | \(0.151146\pi\) |
0.325971 | + | 0.945380i | \(0.394309\pi\) | |||||||
\(864\) | 0.959493 | + | 0.281733i | 0.0326426 | + | 0.00958474i | ||||
\(865\) | 14.0168 | − | 30.6924i | 0.476584 | − | 1.04357i | ||||
\(866\) | 29.4380 | + | 18.9187i | 1.00035 | + | 0.642883i | ||||
\(867\) | −13.1030 | + | 3.84738i | −0.445001 | + | 0.130664i | ||||
\(868\) | 2.74591 | − | 19.0982i | 0.0932022 | − | 0.648236i | ||||
\(869\) | 15.8712 | + | 34.7532i | 0.538395 | + | 1.17892i | ||||
\(870\) | −0.310326 | − | 2.15836i | −0.0105210 | − | 0.0731753i | ||||
\(871\) | 17.2604 | − | 11.0926i | 0.584846 | − | 0.375857i | ||||
\(872\) | 0.836047 | − | 0.964850i | 0.0283121 | − | 0.0326739i | ||||
\(873\) | 18.8759 | 0.638852 | ||||||||
\(874\) | −5.73590 | + | 3.16134i | −0.194020 | + | 0.106934i | ||||
\(875\) | −82.5072 | −2.78925 | ||||||||
\(876\) | 8.08967 | − | 9.33598i | 0.273325 | − | 0.315433i | ||||
\(877\) | −20.1908 | + | 12.9758i | −0.681795 | + | 0.438163i | −0.835160 | − | 0.550007i | \(-0.814625\pi\) |
0.153365 | + | 0.988170i | \(0.450989\pi\) | |||||||
\(878\) | 3.06935 | + | 21.3478i | 0.103586 | + | 0.720453i | ||||
\(879\) | 5.42302 | + | 11.8748i | 0.182914 | + | 0.400526i | ||||
\(880\) | 2.50436 | − | 17.4182i | 0.0844220 | − | 0.587168i | ||||
\(881\) | −18.5735 | + | 5.45368i | −0.625758 | + | 0.183739i | −0.579212 | − | 0.815177i | \(-0.696640\pi\) |
−0.0465459 | + | 0.998916i | \(0.514821\pi\) | |||||||
\(882\) | 8.67941 | + | 5.57792i | 0.292251 | + | 0.187818i | ||||
\(883\) | −15.6656 | + | 34.3029i | −0.527190 | + | 1.15438i | 0.439456 | + | 0.898264i | \(0.355171\pi\) |
−0.966645 | + | 0.256120i | \(0.917556\pi\) | |||||||
\(884\) | −5.72535 | − | 1.68112i | −0.192564 | − | 0.0565420i | ||||
\(885\) | 18.2025 | + | 21.0068i | 0.611870 | + | 0.706136i | ||||
\(886\) | 2.16292 | + | 2.49614i | 0.0726647 | + | 0.0838595i | ||||
\(887\) | −4.87305 | − | 1.43086i | −0.163621 | − | 0.0480435i | 0.198896 | − | 0.980021i | \(-0.436264\pi\) |
−0.362517 | + | 0.931977i | \(0.618083\pi\) | |||||||
\(888\) | −1.04639 | + | 2.29127i | −0.0351145 | + | 0.0768900i | ||||
\(889\) | 35.3509 | + | 22.7186i | 1.18563 | + | 0.761959i | ||||
\(890\) | 56.6948 | − | 16.6471i | 1.90041 | − | 0.558012i | ||||
\(891\) | −0.644437 | + | 4.48216i | −0.0215895 | + | 0.150158i | ||||
\(892\) | 1.41615 | + | 3.10093i | 0.0474162 | + | 0.103827i | ||||
\(893\) | −0.462804 | − | 3.21887i | −0.0154871 | − | 0.107715i | ||||
\(894\) | 1.75060 | − | 1.12504i | 0.0585487 | − | 0.0376270i | ||||
\(895\) | −29.4575 | + | 33.9958i | −0.984657 | + | 1.13635i | ||||
\(896\) | 4.16140 | 0.139023 | ||||||||
\(897\) | 3.26647 | − | 15.3048i | 0.109064 | − | 0.511014i | ||||
\(898\) | 22.2893 | 0.743804 | ||||||||
\(899\) | 1.70371 | − | 1.96619i | 0.0568220 | − | 0.0655761i | ||||
\(900\) | 8.49830 | − | 5.46153i | 0.283277 | − | 0.182051i | ||||
\(901\) | 2.76120 | + | 19.2045i | 0.0919888 | + | 0.639796i | ||||
\(902\) | −11.5076 | − | 25.1982i | −0.383162 | − | 0.839008i | ||||
\(903\) | 5.83487 | − | 40.5824i | 0.194172 | − | 1.35050i | ||||
\(904\) | −16.9746 | + | 4.98421i | −0.564568 | + | 0.165772i | ||||
\(905\) | 8.54471 | + | 5.49135i | 0.284036 | + | 0.182539i | ||||
\(906\) | −7.79668 | + | 17.0723i | −0.259027 | + | 0.567190i | ||||
\(907\) | 35.0870 | + | 10.3025i | 1.16504 | + | 0.342088i | 0.806391 | − | 0.591383i | \(-0.201418\pi\) |
0.358654 | + | 0.933471i | \(0.383236\pi\) | |||||||
\(908\) | −9.69622 | − | 11.1900i | −0.321781 | − | 0.371355i | ||||
\(909\) | 0.722351 | + | 0.833637i | 0.0239589 | + | 0.0276500i | ||||
\(910\) | −50.6332 | − | 14.8672i | −1.67847 | − | 0.492844i | ||||
\(911\) | 11.9149 | − | 26.0901i | 0.394759 | − | 0.864402i | −0.603016 | − | 0.797729i | \(-0.706034\pi\) |
0.997775 | − | 0.0666729i | \(-0.0212384\pi\) | |||||||
\(912\) | −1.14885 | − | 0.738323i | −0.0380423 | − | 0.0244483i | ||||
\(913\) | 1.63813 | − | 0.480999i | 0.0542142 | − | 0.0159187i | ||||
\(914\) | 5.13940 | − | 35.7453i | 0.169996 | − | 1.18235i | ||||
\(915\) | −5.25768 | − | 11.5127i | −0.173814 | − | 0.380599i | ||||
\(916\) | −1.39407 | − | 9.69594i | −0.0460612 | − | 0.320363i | ||||
\(917\) | 26.3222 | − | 16.9163i | 0.869236 | − | 0.558624i | ||||
\(918\) | −1.19749 | + | 1.38198i | −0.0395231 | + | 0.0456120i | ||||
\(919\) | −16.5221 | −0.545013 | −0.272507 | − | 0.962154i | \(-0.587853\pi\) | ||||
−0.272507 | + | 0.962154i | \(0.587853\pi\) | |||||||
\(920\) | 14.9636 | + | 11.1102i | 0.493335 | + | 0.366292i | ||||
\(921\) | 24.0856 | 0.793649 | ||||||||
\(922\) | −20.6714 | + | 23.8561i | −0.680777 | + | 0.785659i | ||||
\(923\) | 17.7171 | − | 11.3861i | 0.583166 | − | 0.374778i | ||||
\(924\) | 2.68176 | + | 18.6521i | 0.0882234 | + | 0.613607i | ||||
\(925\) | 10.5706 | + | 23.1463i | 0.347558 | + | 0.761045i | ||||
\(926\) | 3.96311 | − | 27.5641i | 0.130236 | − | 0.905811i | ||||
\(927\) | −3.23011 | + | 0.948446i | −0.106091 | + | 0.0311511i | ||||
\(928\) | 0.472039 | + | 0.303361i | 0.0154954 | + | 0.00995831i | ||||
\(929\) | −1.47887 | + | 3.23827i | −0.0485201 | + | 0.106244i | −0.932340 | − | 0.361584i | \(-0.882236\pi\) |
0.883819 | + | 0.467828i | \(0.154963\pi\) | |||||||
\(930\) | 17.2884 | + | 5.07633i | 0.566909 | + | 0.166460i | ||||
\(931\) | −9.22677 | − | 10.6483i | −0.302395 | − | 0.348983i | ||||
\(932\) | 2.59019 | + | 2.98924i | 0.0848444 | + | 0.0979157i | ||||
\(933\) | 2.53986 | + | 0.745771i | 0.0831514 | + | 0.0244154i | ||||
\(934\) | 0.245034 | − | 0.536550i | 0.00801776 | − | 0.0175564i | ||||
\(935\) | 27.0705 | + | 17.3972i | 0.885301 | + | 0.568949i | ||||
\(936\) | 3.13097 | − | 0.919336i | 0.102339 | − | 0.0300495i | ||||
\(937\) | 7.19018 | − | 50.0088i | 0.234893 | − | 1.63372i | −0.441561 | − | 0.897231i | \(-0.645575\pi\) |
0.676454 | − | 0.736485i | \(-0.263516\pi\) | |||||||
\(938\) | −10.8694 | − | 23.8008i | −0.354900 | − | 0.777123i | ||||
\(939\) | −3.56000 | − | 24.7604i | −0.116176 | − | 0.808024i | ||||
\(940\) | −7.78490 | + | 5.00305i | −0.253915 | + | 0.163182i | ||||
\(941\) | −39.2974 | + | 45.3517i | −1.28106 | + | 1.47842i | −0.483290 | + | 0.875461i | \(0.660558\pi\) |
−0.797770 | + | 0.602961i | \(0.793987\pi\) | |||||||
\(942\) | 1.99513 | 0.0650047 | ||||||||
\(943\) | 29.2717 | + | 1.97805i | 0.953218 | + | 0.0644140i | ||||
\(944\) | −7.15262 | −0.232798 | ||||||||
\(945\) | −10.5902 | + | 12.2218i | −0.344500 | + | 0.397574i | ||||
\(946\) | 37.5318 | − | 24.1202i | 1.22026 | − | 0.784216i | ||||
\(947\) | −1.46743 | − | 10.2062i | −0.0476850 | − | 0.331656i | −0.999674 | − | 0.0255247i | \(-0.991874\pi\) |
0.951989 | − | 0.306131i | \(-0.0990347\pi\) | |||||||
\(948\) | −3.50494 | − | 7.67474i | −0.113835 | − | 0.249264i | ||||
\(949\) | 5.73680 | − | 39.9003i | 0.186224 | − | 1.29522i | ||||
\(950\) | −13.2368 | + | 3.88669i | −0.429460 | + | 0.126101i | ||||
\(951\) | 2.47347 | + | 1.58960i | 0.0802077 | + | 0.0515463i | ||||
\(952\) | −3.16115 | + | 6.92194i | −0.102453 | + | 0.224341i | ||||
\(953\) | −40.5703 | − | 11.9125i | −1.31420 | − | 0.385884i | −0.451805 | − | 0.892117i | \(-0.649220\pi\) |
−0.862397 | + | 0.506233i | \(0.831038\pi\) | |||||||
\(954\) | −6.94821 | − | 8.01867i | −0.224957 | − | 0.259614i | ||||
\(955\) | 15.6542 | + | 18.0659i | 0.506558 | + | 0.584600i | ||||
\(956\) | 9.42942 | + | 2.76873i | 0.304969 | + | 0.0895471i | ||||
\(957\) | −1.05551 | + | 2.31125i | −0.0341199 | + | 0.0747121i | ||||
\(958\) | −8.65278 | − | 5.56081i | −0.279559 | − | 0.179661i | ||||
\(959\) | 57.0996 | − | 16.7660i | 1.84384 | − | 0.541401i | ||||
\(960\) | −0.553053 | + | 3.84657i | −0.0178497 | + | 0.124147i | ||||
\(961\) | −3.94737 | − | 8.64354i | −0.127335 | − | 0.278824i | ||||
\(962\) | 1.16976 | + | 8.13588i | 0.0377147 | + | 0.262311i | ||||
\(963\) | −8.83179 | + | 5.67585i | −0.284601 | + | 0.182902i | ||||
\(964\) | −14.2018 | + | 16.3897i | −0.457409 | + | 0.527878i | ||||
\(965\) | −33.1492 | −1.06711 | ||||||||
\(966\) | −18.7263 | − | 6.90090i | −0.602509 | − | 0.222033i | ||||
\(967\) | −18.6393 | −0.599399 | −0.299700 | − | 0.954034i | \(-0.596886\pi\) | ||||
−0.299700 | + | 0.954034i | \(0.596886\pi\) | |||||||
\(968\) | −6.22449 | + | 7.18344i | −0.200063 | + | 0.230884i | ||||
\(969\) | 2.10081 | − | 1.35011i | 0.0674878 | − | 0.0433718i | ||||
\(970\) | 10.4394 | + | 72.6074i | 0.335188 | + | 2.33128i | ||||
\(971\) | 3.15485 | + | 6.90816i | 0.101244 | + | 0.221693i | 0.953475 | − | 0.301472i | \(-0.0974781\pi\) |
−0.852231 | + | 0.523166i | \(0.824751\pi\) | |||||||
\(972\) | 0.142315 | − | 0.989821i | 0.00456475 | − | 0.0317485i | ||||
\(973\) | −87.0448 | + | 25.5587i | −2.79053 | + | 0.819373i | ||||
\(974\) | −23.1380 | − | 14.8699i | −0.741389 | − | 0.476462i | ||||
\(975\) | 13.6938 | − | 29.9853i | 0.438553 | − | 0.960298i | ||||
\(976\) | 3.12491 | + | 0.917557i | 0.100026 | + | 0.0293703i | ||||
\(977\) | −8.48096 | − | 9.78755i | −0.271330 | − | 0.313131i | 0.603689 | − | 0.797220i | \(-0.293697\pi\) |
−0.875019 | + | 0.484088i | \(0.839151\pi\) | |||||||
\(978\) | 0.457728 | + | 0.528246i | 0.0146365 | + | 0.0168914i | ||||
\(979\) | −66.0628 | − | 19.3978i | −2.11138 | − | 0.619956i | ||||
\(980\) | −16.6557 | + | 36.4708i | −0.532046 | + | 1.16502i | ||||
\(981\) | −1.07401 | − | 0.690225i | −0.0342905 | − | 0.0220372i | ||||
\(982\) | −8.43491 | + | 2.47671i | −0.269169 | + | 0.0790351i | ||||
\(983\) | 5.17713 | − | 36.0077i | 0.165125 | − | 1.14847i | −0.723665 | − | 0.690152i | \(-0.757544\pi\) |
0.888789 | − | 0.458316i | \(-0.151547\pi\) | |||||||
\(984\) | 2.54130 | + | 5.56467i | 0.0810136 | + | 0.177395i | ||||
\(985\) | 1.81959 | + | 12.6555i | 0.0579770 | + | 0.403239i | ||||
\(986\) | −0.863179 | + | 0.554731i | −0.0274892 | + | 0.0176662i | ||||
\(987\) | 6.48930 | − | 7.48905i | 0.206557 | − | 0.238379i | ||||
\(988\) | −4.45630 | −0.141774 | ||||||||
\(989\) | 3.55586 | + | 47.1164i | 0.113070 | + | 1.49822i | ||||
\(990\) | −17.5973 | −0.559280 | ||||||||
\(991\) | 20.5079 | − | 23.6674i | 0.651456 | − | 0.751820i | −0.329901 | − | 0.944016i | \(-0.607015\pi\) |
0.981357 | + | 0.192195i | \(0.0615607\pi\) | |||||||
\(992\) | −3.90053 | + | 2.50672i | −0.123842 | + | 0.0795884i | ||||
\(993\) | −0.173394 | − | 1.20598i | −0.00550248 | − | 0.0382706i | ||||
\(994\) | −11.1571 | − | 24.4306i | −0.353881 | − | 0.774891i | ||||
\(995\) | 11.0756 | − | 77.0322i | 0.351119 | − | 2.44208i | ||||
\(996\) | −0.361758 | + | 0.106222i | −0.0114627 | + | 0.00336576i | ||||
\(997\) | −16.3606 | − | 10.5143i | −0.518144 | − | 0.332991i | 0.255293 | − | 0.966864i | \(-0.417828\pi\) |
−0.773438 | + | 0.633872i | \(0.781464\pi\) | |||||||
\(998\) | 9.78386 | − | 21.4237i | 0.309703 | − | 0.678154i | ||||
\(999\) | 2.41686 | + | 0.709655i | 0.0764662 | + | 0.0224525i |
(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 | 138.2.e.b.85.1 | yes | 10 | |
3.2 | odd | 2 | 414.2.i.e.361.1 | 10 | |||
23.6 | even | 11 | 3174.2.a.ba.1.1 | 5 | |||
23.13 | even | 11 | inner | 138.2.e.b.13.1 | ✓ | 10 | |
23.17 | odd | 22 | 3174.2.a.bb.1.5 | 5 | |||
69.17 | even | 22 | 9522.2.a.br.1.1 | 5 | |||
69.29 | odd | 22 | 9522.2.a.bs.1.5 | 5 | |||
69.59 | odd | 22 | 414.2.i.e.289.1 | 10 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
138.2.e.b.13.1 | ✓ | 10 | 23.13 | even | 11 | inner | |
138.2.e.b.85.1 | yes | 10 | 1.1 | even | 1 | trivial | |
414.2.i.e.289.1 | 10 | 69.59 | odd | 22 | |||
414.2.i.e.361.1 | 10 | 3.2 | odd | 2 | |||
3174.2.a.ba.1.1 | 5 | 23.6 | even | 11 | |||
3174.2.a.bb.1.5 | 5 | 23.17 | odd | 22 | |||
9522.2.a.br.1.1 | 5 | 69.17 | even | 22 | |||
9522.2.a.bs.1.5 | 5 | 69.29 | odd | 22 |