Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(4,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([14, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.z (of order \(21\), 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: | \(3.52140272914\) |
Analytic rank: | \(0\) |
Dimension: | \(648\) |
Relative dimension: | \(54\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 142.15 | ||
Character | \(\chi\) | \(=\) | 441.142 |
Dual form | 441.2.z.a.382.15 |
$q$-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 \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{4}{21}\right)\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.570548 | + | 1.45373i | −0.403438 | + | 1.02794i | 0.574399 | + | 0.818576i | \(0.305236\pi\) |
−0.977837 | + | 0.209368i | \(0.932859\pi\) | |||||||
\(3\) | 1.65353 | + | 0.515604i | 0.954664 | + | 0.297684i | ||||
\(4\) | −0.321708 | − | 0.298502i | −0.160854 | − | 0.149251i | ||||
\(5\) | 2.55033 | − | 1.22817i | 1.14054 | − | 0.549256i | 0.234362 | − | 0.972149i | \(-0.424700\pi\) |
0.906180 | + | 0.422893i | \(0.138985\pi\) | |||||||
\(6\) | −1.69297 | + | 2.10961i | −0.691151 | + | 0.861244i | ||||
\(7\) | 2.20166 | − | 1.46720i | 0.832150 | − | 0.554550i | ||||
\(8\) | −2.19657 | + | 1.05781i | −0.776604 | + | 0.373993i | ||||
\(9\) | 2.46830 | + | 1.70513i | 0.822768 | + | 0.568377i | ||||
\(10\) | 0.330351 | + | 4.40823i | 0.104466 | + | 1.39400i | ||||
\(11\) | −2.88279 | − | 3.61490i | −0.869194 | − | 1.08993i | −0.995196 | − | 0.0979042i | \(-0.968786\pi\) |
0.126002 | − | 0.992030i | \(-0.459785\pi\) | |||||||
\(12\) | −0.378045 | − | 0.659455i | −0.109132 | − | 0.190368i | ||||
\(13\) | −1.70003 | + | 4.33160i | −0.471503 | + | 1.20137i | 0.475376 | + | 0.879783i | \(0.342312\pi\) |
−0.946880 | + | 0.321588i | \(0.895783\pi\) | |||||||
\(14\) | 0.876764 | + | 4.03774i | 0.234325 | + | 1.07913i | ||||
\(15\) | 4.85029 | − | 0.715859i | 1.25234 | − | 0.184834i | ||||
\(16\) | −0.350120 | − | 4.67202i | −0.0875299 | − | 1.16801i | ||||
\(17\) | 4.28838 | − | 3.97904i | 1.04009 | − | 0.965058i | 0.0406675 | − | 0.999173i | \(-0.487052\pi\) |
0.999418 | + | 0.0341145i | \(0.0108611\pi\) | |||||||
\(18\) | −3.88709 | + | 2.61540i | −0.916196 | + | 0.616455i | ||||
\(19\) | −0.412459 | + | 0.714400i | −0.0946246 | + | 0.163895i | −0.909452 | − | 0.415809i | \(-0.863498\pi\) |
0.814827 | + | 0.579704i | \(0.196832\pi\) | |||||||
\(20\) | −1.18707 | − | 0.366164i | −0.265438 | − | 0.0818768i | ||||
\(21\) | 4.39700 | − | 1.29087i | 0.959505 | − | 0.281691i | ||||
\(22\) | 6.89987 | − | 2.12833i | 1.47106 | − | 0.453761i | ||||
\(23\) | −0.126064 | + | 0.552321i | −0.0262861 | + | 0.115167i | −0.986369 | − | 0.164549i | \(-0.947383\pi\) |
0.960083 | + | 0.279716i | \(0.0902403\pi\) | |||||||
\(24\) | −4.17750 | + | 0.616561i | −0.852728 | + | 0.125855i | ||||
\(25\) | 1.87832 | − | 2.35534i | 0.375664 | − | 0.471068i | ||||
\(26\) | −5.32704 | − | 4.94277i | −1.04472 | − | 0.969358i | ||||
\(27\) | 3.20224 | + | 4.09215i | 0.616271 | + | 0.787534i | ||||
\(28\) | −1.14626 | − | 0.185189i | −0.216622 | − | 0.0349975i | ||||
\(29\) | −2.40287 | − | 0.741187i | −0.446201 | − | 0.137635i | 0.0635084 | − | 0.997981i | \(-0.479771\pi\) |
−0.509710 | + | 0.860346i | \(0.670247\pi\) | |||||||
\(30\) | −1.72666 | + | 7.45945i | −0.315243 | + | 1.36190i | ||||
\(31\) | −3.94519 | + | 6.83327i | −0.708577 | + | 1.22729i | 0.256808 | + | 0.966463i | \(0.417329\pi\) |
−0.965385 | + | 0.260829i | \(0.916004\pi\) | |||||||
\(32\) | 2.33224 | + | 0.719402i | 0.412286 | + | 0.127174i | ||||
\(33\) | −2.90291 | − | 7.46372i | −0.505332 | − | 1.29927i | ||||
\(34\) | 3.33773 | + | 8.50439i | 0.572415 | + | 1.45849i | ||||
\(35\) | 3.81299 | − | 6.44587i | 0.644512 | − | 1.08955i | ||||
\(36\) | −0.285090 | − | 1.28535i | −0.0475150 | − | 0.214225i | ||||
\(37\) | −1.13222 | − | 0.349242i | −0.186135 | − | 0.0574151i | 0.200286 | − | 0.979737i | \(-0.435813\pi\) |
−0.386421 | + | 0.922322i | \(0.626289\pi\) | |||||||
\(38\) | −0.803219 | − | 1.00720i | −0.130299 | − | 0.163390i | ||||
\(39\) | −5.04444 | + | 6.28588i | −0.807757 | + | 1.00655i | ||||
\(40\) | −4.30280 | + | 5.39554i | −0.680332 | + | 0.853109i | ||||
\(41\) | −10.1344 | − | 6.90954i | −1.58273 | − | 1.07909i | −0.953296 | − | 0.302038i | \(-0.902333\pi\) |
−0.629437 | − | 0.777051i | \(-0.716715\pi\) | |||||||
\(42\) | −0.632120 | + | 7.12857i | −0.0975383 | + | 1.09996i | ||||
\(43\) | −0.809573 | + | 0.551957i | −0.123459 | + | 0.0841727i | −0.623475 | − | 0.781843i | \(-0.714280\pi\) |
0.500016 | + | 0.866016i | \(0.333327\pi\) | |||||||
\(44\) | −0.151638 | + | 2.02346i | −0.0228602 | + | 0.305048i | ||||
\(45\) | 8.38919 | + | 1.31714i | 1.25059 | + | 0.196347i | ||||
\(46\) | −0.731002 | − | 0.498388i | −0.107780 | − | 0.0734834i | ||||
\(47\) | −2.96723 | + | 7.56038i | −0.432815 | + | 1.10279i | 0.533584 | + | 0.845747i | \(0.320845\pi\) |
−0.966399 | + | 0.257047i | \(0.917250\pi\) | |||||||
\(48\) | 1.82998 | − | 7.90584i | 0.264135 | − | 1.14111i | ||||
\(49\) | 2.69464 | − | 6.46057i | 0.384948 | − | 0.922938i | ||||
\(50\) | 2.35236 | + | 4.07441i | 0.332674 | + | 0.576208i | ||||
\(51\) | 9.14256 | − | 4.36834i | 1.28022 | − | 0.611690i | ||||
\(52\) | 1.83991 | − | 0.886052i | 0.255149 | − | 0.122873i | ||||
\(53\) | −5.50606 | + | 1.69839i | −0.756315 | + | 0.233292i | −0.648850 | − | 0.760917i | \(-0.724750\pi\) |
−0.107465 | + | 0.994209i | \(0.534273\pi\) | |||||||
\(54\) | −7.77592 | + | 2.32043i | −1.05817 | + | 0.315770i | ||||
\(55\) | −11.7918 | − | 5.67863i | −1.59000 | − | 0.765706i | ||||
\(56\) | −3.28408 | + | 5.55175i | −0.438854 | + | 0.741884i | ||||
\(57\) | −1.05036 | + | 0.968615i | −0.139124 | + | 0.128296i | ||||
\(58\) | 2.44844 | − | 3.07024i | 0.321496 | − | 0.403143i | ||||
\(59\) | −5.21727 | + | 3.55708i | −0.679231 | + | 0.463092i | −0.853148 | − | 0.521668i | \(-0.825310\pi\) |
0.173917 | + | 0.984760i | \(0.444357\pi\) | |||||||
\(60\) | −1.77406 | − | 1.21752i | −0.229031 | − | 0.157182i | ||||
\(61\) | 3.86452 | − | 3.58575i | 0.494802 | − | 0.459109i | −0.392865 | − | 0.919596i | \(-0.628516\pi\) |
0.887666 | + | 0.460488i | \(0.152325\pi\) | |||||||
\(62\) | −7.68283 | − | 9.63396i | −0.975720 | − | 1.22351i | ||||
\(63\) | 7.93615 | + | 0.132623i | 0.999860 | + | 0.0167089i | ||||
\(64\) | 3.46578 | − | 4.34595i | 0.433222 | − | 0.543244i | ||||
\(65\) | 0.984328 | + | 13.1349i | 0.122091 | + | 1.62919i | ||||
\(66\) | 12.5065 | + | 0.0383530i | 1.53944 | + | 0.00472093i | ||||
\(67\) | −3.39113 | + | 5.87361i | −0.414293 | + | 0.717576i | −0.995354 | − | 0.0962838i | \(-0.969304\pi\) |
0.581061 | + | 0.813860i | \(0.302638\pi\) | |||||||
\(68\) | −2.56736 | −0.311338 | ||||||||
\(69\) | −0.493229 | + | 0.848279i | −0.0593778 | + | 0.102121i | ||||
\(70\) | 7.19508 | + | 9.22074i | 0.859977 | + | 1.10209i | ||||
\(71\) | 1.13414 | − | 4.96898i | 0.134597 | − | 0.589709i | −0.861973 | − | 0.506955i | \(-0.830771\pi\) |
0.996570 | − | 0.0827545i | \(-0.0263717\pi\) | |||||||
\(72\) | −7.22551 | − | 1.13444i | −0.851534 | − | 0.133694i | ||||
\(73\) | 2.74325 | + | 0.413479i | 0.321073 | + | 0.0483940i | 0.307602 | − | 0.951515i | \(-0.400474\pi\) |
0.0134717 | + | 0.999909i | \(0.495712\pi\) | |||||||
\(74\) | 1.15369 | − | 1.44668i | 0.134113 | − | 0.168173i | ||||
\(75\) | 4.32027 | − | 2.92615i | 0.498862 | − | 0.337882i | ||||
\(76\) | 0.345941 | − | 0.106709i | 0.0396822 | − | 0.0122403i | ||||
\(77\) | −11.6507 | − | 3.72916i | −1.32772 | − | 0.424978i | ||||
\(78\) | −6.25990 | − | 10.9197i | −0.708794 | − | 1.23641i | ||||
\(79\) | 3.90274 | + | 6.75974i | 0.439092 | + | 0.760530i | 0.997620 | − | 0.0689559i | \(-0.0219668\pi\) |
−0.558527 | + | 0.829486i | \(0.688633\pi\) | |||||||
\(80\) | −6.63098 | − | 11.4852i | −0.741366 | − | 1.28408i | ||||
\(81\) | 3.18506 | + | 8.41757i | 0.353895 | + | 0.935285i | ||||
\(82\) | 15.8268 | − | 10.7905i | 1.74778 | − | 1.19162i | ||||
\(83\) | −3.49089 | − | 8.89464i | −0.383175 | − | 0.976314i | −0.984196 | − | 0.177081i | \(-0.943335\pi\) |
0.601021 | − | 0.799233i | \(-0.294761\pi\) | |||||||
\(84\) | −1.79988 | − | 0.897230i | −0.196383 | − | 0.0978958i | ||||
\(85\) | 6.04984 | − | 15.4147i | 0.656197 | − | 1.67196i | ||||
\(86\) | −0.340498 | − | 1.49182i | −0.0367169 | − | 0.160867i | ||||
\(87\) | −3.59105 | − | 2.46450i | −0.385001 | − | 0.264222i | ||||
\(88\) | 10.1561 | + | 4.89093i | 1.08265 | + | 0.521375i | ||||
\(89\) | 4.37271 | + | 11.1415i | 0.463506 | + | 1.18099i | 0.951363 | + | 0.308071i | \(0.0996833\pi\) |
−0.487858 | + | 0.872923i | \(0.662221\pi\) | |||||||
\(90\) | −6.70120 | + | 11.4441i | −0.706368 | + | 1.20632i | ||||
\(91\) | 2.61245 | + | 12.0310i | 0.273859 | + | 1.26119i | ||||
\(92\) | 0.205425 | − | 0.140056i | 0.0214170 | − | 0.0146019i | ||||
\(93\) | −10.0467 | + | 9.26484i | −1.04180 | + | 0.960720i | ||||
\(94\) | −9.29782 | − | 8.62712i | −0.958997 | − | 0.889819i | ||||
\(95\) | −0.174499 | + | 2.32853i | −0.0179032 | + | 0.238902i | ||||
\(96\) | 3.48550 | + | 2.39207i | 0.355738 | + | 0.244139i | ||||
\(97\) | 2.19157 | − | 3.79591i | 0.222520 | − | 0.385416i | −0.733052 | − | 0.680172i | \(-0.761905\pi\) |
0.955573 | + | 0.294756i | \(0.0952383\pi\) | |||||||
\(98\) | 7.85451 | + | 7.60335i | 0.793426 | + | 0.768054i | ||||
\(99\) | −0.951719 | − | 13.8382i | −0.0956513 | − | 1.39079i | ||||
\(100\) | −1.30734 | + | 0.197050i | −0.130734 | + | 0.0197050i | ||||
\(101\) | 7.43571 | − | 3.58085i | 0.739881 | − | 0.356308i | −0.0256811 | − | 0.999670i | \(-0.508175\pi\) |
0.765562 | + | 0.643362i | \(0.222461\pi\) | |||||||
\(102\) | 1.13412 | + | 15.7832i | 0.112295 | + | 1.56277i | ||||
\(103\) | 5.50078 | − | 2.64904i | 0.542008 | − | 0.261017i | −0.142786 | − | 0.989754i | \(-0.545606\pi\) |
0.684795 | + | 0.728736i | \(0.259892\pi\) | |||||||
\(104\) | −0.847790 | − | 11.3130i | −0.0831327 | − | 1.10933i | ||||
\(105\) | 9.62840 | − | 8.69243i | 0.939635 | − | 0.848295i | ||||
\(106\) | 0.672459 | − | 8.97334i | 0.0653150 | − | 0.871568i | ||||
\(107\) | −7.17825 | − | 18.2899i | −0.693948 | − | 1.76815i | −0.638414 | − | 0.769693i | \(-0.720409\pi\) |
−0.0555337 | − | 0.998457i | \(-0.517686\pi\) | |||||||
\(108\) | 0.191327 | − | 2.27235i | 0.0184105 | − | 0.218657i | ||||
\(109\) | 2.64583 | − | 6.74146i | 0.253424 | − | 0.645715i | −0.746379 | − | 0.665521i | \(-0.768210\pi\) |
0.999804 | + | 0.0198058i | \(0.00630479\pi\) | |||||||
\(110\) | 14.9830 | − | 13.9022i | 1.42857 | − | 1.32552i | ||||
\(111\) | −1.69208 | − | 1.16126i | −0.160605 | − | 0.110222i | ||||
\(112\) | −7.62565 | − | 9.77252i | −0.720556 | − | 0.923417i | ||||
\(113\) | 13.3096 | + | 2.00611i | 1.25207 | + | 0.188718i | 0.741401 | − | 0.671062i | \(-0.234162\pi\) |
0.510664 | + | 0.859780i | \(0.329400\pi\) | |||||||
\(114\) | −0.808826 | − | 2.07958i | −0.0757535 | − | 0.194771i | ||||
\(115\) | 0.356842 | + | 1.56343i | 0.0332757 | + | 0.145790i | ||||
\(116\) | 0.551777 | + | 0.955707i | 0.0512313 | + | 0.0887351i | ||||
\(117\) | −11.5821 | + | 7.79295i | −1.07077 | + | 0.720458i | ||||
\(118\) | −2.19433 | − | 9.61400i | −0.202005 | − | 0.885040i | ||||
\(119\) | 3.60352 | − | 15.0524i | 0.330334 | − | 1.37985i | ||||
\(120\) | −9.89675 | + | 6.70313i | −0.903446 | + | 0.611909i | ||||
\(121\) | −2.30932 | + | 10.1178i | −0.209938 | + | 0.919799i | ||||
\(122\) | 3.00783 | + | 7.66383i | 0.272316 | + | 0.693850i | ||||
\(123\) | −13.1950 | − | 16.6505i | −1.18975 | − | 1.50132i | ||||
\(124\) | 3.30895 | − | 1.02067i | 0.297152 | − | 0.0916593i | ||||
\(125\) | −1.25183 | + | 5.48462i | −0.111967 | + | 0.490559i | ||||
\(126\) | −4.72075 | + | 11.4614i | −0.420558 | + | 1.02106i | ||||
\(127\) | −2.98593 | − | 13.0822i | −0.264958 | − | 1.16086i | −0.915797 | − | 0.401642i | \(-0.868440\pi\) |
0.650839 | − | 0.759216i | \(-0.274417\pi\) | |||||||
\(128\) | 6.78113 | + | 11.7453i | 0.599373 | + | 1.03814i | ||||
\(129\) | −1.62324 | + | 0.495257i | −0.142918 | + | 0.0436050i | ||||
\(130\) | −19.6563 | − | 6.06317i | −1.72397 | − | 0.531775i | ||||
\(131\) | 1.03410 | + | 0.497999i | 0.0903501 | + | 0.0435103i | 0.478513 | − | 0.878080i | \(-0.341176\pi\) |
−0.388163 | + | 0.921591i | \(0.626890\pi\) | |||||||
\(132\) | −1.29404 | + | 3.26767i | −0.112632 | + | 0.284414i | ||||
\(133\) | 0.140073 | + | 2.17803i | 0.0121459 | + | 0.188859i | ||||
\(134\) | −6.60386 | − | 8.28098i | −0.570486 | − | 0.715367i | ||||
\(135\) | 13.1926 | + | 6.50342i | 1.13544 | + | 0.559726i | ||||
\(136\) | −5.21065 | + | 13.2765i | −0.446810 | + | 1.13845i | ||||
\(137\) | 16.6099 | + | 7.99889i | 1.41908 | + | 0.683391i | 0.976932 | − | 0.213552i | \(-0.0685033\pi\) |
0.442145 | + | 0.896944i | \(0.354218\pi\) | |||||||
\(138\) | −0.951760 | − | 1.20101i | −0.0810192 | − | 0.102236i | ||||
\(139\) | −9.38935 | − | 6.40155i | −0.796394 | − | 0.542972i | 0.0953865 | − | 0.995440i | \(-0.469591\pi\) |
−0.891781 | + | 0.452468i | \(0.850544\pi\) | |||||||
\(140\) | −3.15077 | + | 0.935508i | −0.266289 | + | 0.0790649i | ||||
\(141\) | −8.80456 | + | 10.9714i | −0.741478 | + | 0.923957i | ||||
\(142\) | 6.57648 | + | 4.48377i | 0.551886 | + | 0.376270i | ||||
\(143\) | 20.5592 | − | 6.34166i | 1.71924 | − | 0.530316i | ||||
\(144\) | 7.10221 | − | 12.1290i | 0.591851 | − | 1.01075i | ||||
\(145\) | −7.03841 | + | 1.06087i | −0.584508 | + | 0.0881004i | ||||
\(146\) | −2.16624 | + | 3.75204i | −0.179280 | + | 0.310521i | ||||
\(147\) | 7.78675 | − | 9.29336i | 0.642241 | − | 0.766503i | ||||
\(148\) | 0.259994 | + | 0.450323i | 0.0213714 | + | 0.0370163i | ||||
\(149\) | −1.41161 | − | 1.77010i | −0.115643 | − | 0.145012i | 0.720641 | − | 0.693309i | \(-0.243848\pi\) |
−0.836284 | + | 0.548297i | \(0.815276\pi\) | |||||||
\(150\) | 1.78891 | + | 7.95003i | 0.146064 | + | 0.649117i | ||||
\(151\) | −2.83052 | + | 12.4013i | −0.230344 | + | 1.00920i | 0.719011 | + | 0.694999i | \(0.244595\pi\) |
−0.949355 | + | 0.314205i | \(0.898262\pi\) | |||||||
\(152\) | 0.150294 | − | 2.00553i | 0.0121904 | − | 0.162670i | ||||
\(153\) | 17.3698 | − | 2.50922i | 1.40427 | − | 0.202859i | ||||
\(154\) | 12.0685 | − | 14.8094i | 0.972507 | − | 1.19337i | ||||
\(155\) | −1.66909 | + | 22.2725i | −0.134065 | + | 1.78897i | ||||
\(156\) | 3.49919 | − | 0.516448i | 0.280159 | − | 0.0413489i | ||||
\(157\) | 9.45913 | − | 6.44912i | 0.754920 | − | 0.514696i | −0.123640 | − | 0.992327i | \(-0.539457\pi\) |
0.878561 | + | 0.477631i | \(0.158504\pi\) | |||||||
\(158\) | −12.0535 | + | 1.81678i | −0.958929 | + | 0.144535i | ||||
\(159\) | −9.98011 | − | 0.0306055i | −0.791474 | − | 0.00242717i | ||||
\(160\) | 6.83154 | − | 1.02969i | 0.540081 | − | 0.0814041i | ||||
\(161\) | 0.532817 | + | 1.40099i | 0.0419918 | + | 0.110413i | ||||
\(162\) | −14.0541 | − | 0.172404i | −1.10420 | − | 0.0135453i | ||||
\(163\) | −7.29398 | + | 4.97295i | −0.571309 | + | 0.389512i | −0.814237 | − | 0.580533i | \(-0.802844\pi\) |
0.242928 | + | 0.970044i | \(0.421892\pi\) | |||||||
\(164\) | 1.19782 | + | 5.24801i | 0.0935343 | + | 0.409800i | ||||
\(165\) | −16.5701 | − | 15.4697i | −1.28998 | − | 1.20431i | ||||
\(166\) | 14.9221 | 1.15818 | ||||||||
\(167\) | 6.44290 | − | 5.97813i | 0.498566 | − | 0.462602i | −0.390353 | − | 0.920665i | \(-0.627647\pi\) |
0.888920 | + | 0.458063i | \(0.151457\pi\) | |||||||
\(168\) | −8.29282 | + | 7.48669i | −0.639805 | + | 0.577611i | ||||
\(169\) | −6.34302 | − | 5.88546i | −0.487925 | − | 0.452728i | ||||
\(170\) | 18.9572 | + | 17.5897i | 1.45395 | + | 1.34907i | ||||
\(171\) | −2.23622 | + | 1.06006i | −0.171008 | + | 0.0810649i | ||||
\(172\) | 0.425207 | + | 0.0640896i | 0.0324217 | + | 0.00488679i | ||||
\(173\) | 11.5446 | − | 3.56105i | 0.877722 | − | 0.270741i | 0.177030 | − | 0.984205i | \(-0.443351\pi\) |
0.700692 | + | 0.713464i | \(0.252875\pi\) | |||||||
\(174\) | 5.63159 | − | 3.81431i | 0.426930 | − | 0.289162i | ||||
\(175\) | 0.679670 | − | 7.94153i | 0.0513783 | − | 0.600324i | ||||
\(176\) | −15.8796 | + | 14.7341i | −1.19697 | + | 1.11062i | ||||
\(177\) | −10.4609 | + | 3.19167i | −0.786293 | + | 0.239901i | ||||
\(178\) | −18.6916 | −1.40099 | ||||||||
\(179\) | −10.7228 | + | 9.94930i | −0.801459 | + | 0.743646i | −0.970276 | − | 0.242002i | \(-0.922196\pi\) |
0.168816 | + | 0.985648i | \(0.446005\pi\) | |||||||
\(180\) | −2.30570 | − | 2.92792i | −0.171857 | − | 0.218234i | ||||
\(181\) | 14.7192 | − | 18.4572i | 1.09407 | − | 1.37192i | 0.171904 | − | 0.985114i | \(-0.445008\pi\) |
0.922162 | − | 0.386803i | \(-0.126421\pi\) | |||||||
\(182\) | −18.9804 | − | 3.06648i | −1.40692 | − | 0.227302i | ||||
\(183\) | 8.23892 | − | 3.93658i | 0.609039 | − | 0.291000i | ||||
\(184\) | −0.307344 | − | 1.34656i | −0.0226577 | − | 0.0992699i | ||||
\(185\) | −3.31645 | + | 0.499875i | −0.243830 | + | 0.0367515i | ||||
\(186\) | −7.73645 | − | 19.8913i | −0.567264 | − | 1.45850i | ||||
\(187\) | −26.7463 | − | 4.03136i | −1.95589 | − | 0.294802i | ||||
\(188\) | 3.21137 | − | 1.54651i | 0.234213 | − | 0.112791i | ||||
\(189\) | 13.0543 | + | 4.31120i | 0.949557 | + | 0.313594i | ||||
\(190\) | −3.28550 | − | 1.58221i | −0.238355 | − | 0.114786i | ||||
\(191\) | 1.90622 | + | 1.29964i | 0.137929 | + | 0.0940386i | 0.630319 | − | 0.776336i | \(-0.282924\pi\) |
−0.492390 | + | 0.870375i | \(0.663876\pi\) | |||||||
\(192\) | 7.97155 | − | 5.39918i | 0.575297 | − | 0.389652i | ||||
\(193\) | −1.55817 | + | 20.7923i | −0.112160 | + | 1.49667i | 0.603021 | + | 0.797726i | \(0.293964\pi\) |
−0.715180 | + | 0.698940i | \(0.753655\pi\) | |||||||
\(194\) | 4.26784 | + | 5.35171i | 0.306413 | + | 0.384230i | ||||
\(195\) | −5.14482 | + | 22.2265i | −0.368428 | + | 1.59167i | ||||
\(196\) | −2.79538 | + | 1.27406i | −0.199670 | + | 0.0910046i | ||||
\(197\) | −2.21127 | −0.157547 | −0.0787733 | − | 0.996893i | \(-0.525100\pi\) | ||||
−0.0787733 | + | 0.996893i | \(0.525100\pi\) | |||||||
\(198\) | 20.6601 | + | 6.51182i | 1.46825 | + | 0.462775i | ||||
\(199\) | −21.2176 | − | 14.4659i | −1.50408 | − | 1.02546i | −0.985355 | − | 0.170518i | \(-0.945456\pi\) |
−0.518721 | − | 0.854943i | \(-0.673592\pi\) | |||||||
\(200\) | −1.63435 | + | 7.16057i | −0.115566 | + | 0.506329i | ||||
\(201\) | −8.63579 | + | 7.96370i | −0.609122 | + | 0.561716i | ||||
\(202\) | 0.963167 | + | 12.8526i | 0.0677682 | + | 0.904304i | ||||
\(203\) | −6.37778 | + | 1.89365i | −0.447632 | + | 0.132908i | ||||
\(204\) | −4.24520 | − | 1.32374i | −0.297223 | − | 0.0926804i | ||||
\(205\) | −34.3323 | − | 5.17476i | −2.39787 | − | 0.361421i | ||||
\(206\) | 0.712531 | + | 9.50807i | 0.0496444 | + | 0.662458i | ||||
\(207\) | −1.25294 | + | 1.14834i | −0.0870856 | + | 0.0798153i | ||||
\(208\) | 20.8326 | + | 6.42600i | 1.44448 | + | 0.445563i | ||||
\(209\) | 3.77152 | − | 0.568465i | 0.260882 | − | 0.0393216i | ||||
\(210\) | 7.14301 | + | 18.9566i | 0.492914 | + | 1.30813i | ||||
\(211\) | −0.655196 | − | 0.0987549i | −0.0451056 | − | 0.00679857i | 0.126451 | − | 0.991973i | \(-0.459641\pi\) |
−0.171556 | + | 0.985174i | \(0.554880\pi\) | |||||||
\(212\) | 2.27832 | + | 1.09718i | 0.156476 | + | 0.0753547i | ||||
\(213\) | 4.43735 | − | 7.63158i | 0.304042 | − | 0.522907i | ||||
\(214\) | 30.6841 | 2.09752 | ||||||||
\(215\) | −1.38678 | + | 2.40197i | −0.0945774 | + | 0.163813i | ||||
\(216\) | −11.3627 | − | 5.60132i | −0.773131 | − | 0.381122i | ||||
\(217\) | 1.33981 | + | 20.8330i | 0.0909520 | + | 1.41423i | ||||
\(218\) | 8.29071 | + | 7.69265i | 0.561518 | + | 0.521012i | ||||
\(219\) | 4.32285 | + | 2.09813i | 0.292111 | + | 0.141779i | ||||
\(220\) | 2.09844 | + | 5.34673i | 0.141477 | + | 0.360477i | ||||
\(221\) | 9.94524 | + | 25.3401i | 0.668989 | + | 1.70456i | ||||
\(222\) | 2.65357 | − | 1.79728i | 0.178096 | − | 0.120625i | ||||
\(223\) | −2.51255 | − | 2.33131i | −0.168253 | − | 0.156116i | 0.591552 | − | 0.806267i | \(-0.298515\pi\) |
−0.759805 | + | 0.650151i | \(0.774706\pi\) | |||||||
\(224\) | 6.19032 | − | 1.83799i | 0.413608 | − | 0.122806i | ||||
\(225\) | 8.65242 | − | 2.61091i | 0.576828 | − | 0.174061i | ||||
\(226\) | −10.5101 | + | 18.2041i | −0.699123 | + | 1.21092i | ||||
\(227\) | 6.05998 | 0.402215 | 0.201107 | − | 0.979569i | \(-0.435546\pi\) | ||||
0.201107 | + | 0.979569i | \(0.435546\pi\) | |||||||
\(228\) | 0.627043 | + | 0.00192292i | 0.0415269 | + | 0.000127348i | ||||
\(229\) | 22.6760 | + | 10.9202i | 1.49847 | + | 0.721625i | 0.990211 | − | 0.139580i | \(-0.0445751\pi\) |
0.508259 | + | 0.861204i | \(0.330289\pi\) | |||||||
\(230\) | −2.47640 | − | 0.373258i | −0.163289 | − | 0.0246119i | ||||
\(231\) | −17.3420 | − | 12.1734i | −1.14102 | − | 0.800953i | ||||
\(232\) | 6.06210 | − | 0.913715i | 0.397996 | − | 0.0599883i | ||||
\(233\) | −3.74370 | − | 1.15478i | −0.245258 | − | 0.0756520i | 0.169689 | − | 0.985498i | \(-0.445724\pi\) |
−0.414947 | + | 0.909846i | \(0.636200\pi\) | |||||||
\(234\) | −4.72069 | − | 21.2836i | −0.308601 | − | 1.39135i | ||||
\(235\) | 1.71805 | + | 22.9257i | 0.112073 | + | 1.49551i | ||||
\(236\) | 2.74023 | + | 0.413024i | 0.178374 | + | 0.0268856i | ||||
\(237\) | 2.96793 | + | 13.1897i | 0.192788 | + | 0.856762i | ||||
\(238\) | 19.8262 | + | 13.8267i | 1.28514 | + | 0.896251i | ||||
\(239\) | 2.00981 | + | 26.8190i | 0.130004 | + | 1.73478i | 0.556988 | + | 0.830520i | \(0.311957\pi\) |
−0.426985 | + | 0.904259i | \(0.640424\pi\) | |||||||
\(240\) | −5.04269 | − | 22.4100i | −0.325504 | − | 1.44656i | ||||
\(241\) | −2.42319 | + | 10.6167i | −0.156092 | + | 0.683882i | 0.834950 | + | 0.550326i | \(0.185497\pi\) |
−0.991041 | + | 0.133556i | \(0.957361\pi\) | |||||||
\(242\) | −13.3910 | − | 9.12982i | −0.860805 | − | 0.586887i | ||||
\(243\) | 0.926447 | + | 15.5609i | 0.0594316 | + | 0.998232i | ||||
\(244\) | −2.31360 | −0.148113 | ||||||||
\(245\) | −1.06248 | − | 19.7861i | −0.0678795 | − | 1.26408i | ||||
\(246\) | 31.7337 | − | 9.68207i | 2.02327 | − | 0.617307i | ||||
\(247\) | −2.39331 | − | 3.00111i | −0.152282 | − | 0.190956i | ||||
\(248\) | 1.43757 | − | 19.1830i | 0.0912857 | − | 1.21812i | ||||
\(249\) | −1.18617 | − | 16.5075i | −0.0751703 | − | 1.04612i | ||||
\(250\) | −7.25894 | − | 4.94906i | −0.459095 | − | 0.313006i | ||||
\(251\) | 18.1228 | + | 8.72748i | 1.14390 | + | 0.550874i | 0.907196 | − | 0.420708i | \(-0.138218\pi\) |
0.236705 | + | 0.971582i | \(0.423932\pi\) | |||||||
\(252\) | −2.51354 | − | 2.41162i | −0.158338 | − | 0.151918i | ||||
\(253\) | 2.36000 | − | 1.13652i | 0.148372 | − | 0.0714522i | ||||
\(254\) | 20.7216 | + | 3.12328i | 1.30019 | + | 0.195972i | ||||
\(255\) | 17.9515 | − | 22.3694i | 1.12416 | − | 1.40082i | ||||
\(256\) | −9.95024 | + | 1.49976i | −0.621890 | + | 0.0937348i | ||||
\(257\) | −1.69558 | − | 7.42881i | −0.105767 | − | 0.463397i | −0.999879 | − | 0.0155528i | \(-0.995049\pi\) |
0.894112 | − | 0.447844i | \(-0.147808\pi\) | |||||||
\(258\) | 0.206165 | − | 2.64233i | 0.0128353 | − | 0.164504i | ||||
\(259\) | −3.00517 | + | 0.892275i | −0.186732 | + | 0.0554433i | ||||
\(260\) | 3.60414 | − | 4.51945i | 0.223519 | − | 0.280284i | ||||
\(261\) | −4.66719 | − | 5.92668i | −0.288892 | − | 0.366852i | ||||
\(262\) | −1.31396 | + | 1.21918i | −0.0811769 | + | 0.0753211i | ||||
\(263\) | 17.7822 | 1.09650 | 0.548249 | − | 0.836315i | \(-0.315295\pi\) | ||||
0.548249 | + | 0.836315i | \(0.315295\pi\) | |||||||
\(264\) | 14.2716 | + | 13.3238i | 0.878359 | + | 0.820025i | ||||
\(265\) | −11.9563 | + | 11.0939i | −0.734472 | + | 0.681490i | ||||
\(266\) | −3.24619 | − | 1.03904i | −0.199037 | − | 0.0637077i | ||||
\(267\) | 1.48580 | + | 20.6773i | 0.0909294 | + | 1.26543i | ||||
\(268\) | 2.84424 | − | 0.877332i | 0.173740 | − | 0.0535916i | ||||
\(269\) | −23.2252 | − | 3.50064i | −1.41607 | − | 0.213438i | −0.603991 | − | 0.796991i | \(-0.706424\pi\) |
−0.812075 | + | 0.583553i | \(0.801662\pi\) | |||||||
\(270\) | −16.9813 | + | 15.4680i | −1.03345 | + | 0.941355i | ||||
\(271\) | 12.5209 | + | 11.6177i | 0.760588 | + | 0.705723i | 0.961778 | − | 0.273829i | \(-0.0882904\pi\) |
−0.201190 | + | 0.979552i | \(0.564481\pi\) | |||||||
\(272\) | −20.0916 | − | 18.6423i | −1.21823 | − | 1.13035i | ||||
\(273\) | −1.88349 | + | 21.2406i | −0.113994 | + | 1.28554i | ||||
\(274\) | −21.1050 | + | 19.5825i | −1.27500 | + | 1.18303i | ||||
\(275\) | −13.9291 | −0.839957 | ||||||||
\(276\) | 0.411889 | − | 0.125669i | 0.0247928 | − | 0.00756438i | ||||
\(277\) | −0.739197 | − | 3.23863i | −0.0444140 | − | 0.194591i | 0.947854 | − | 0.318705i | \(-0.103248\pi\) |
−0.992268 | + | 0.124115i | \(0.960391\pi\) | |||||||
\(278\) | 14.6632 | − | 9.99721i | 0.879441 | − | 0.599593i | ||||
\(279\) | −21.3896 | + | 10.1395i | −1.28056 | + | 0.607038i | ||||
\(280\) | −1.55697 | + | 18.1922i | −0.0930466 | + | 1.08719i | ||||
\(281\) | −22.6583 | + | 3.41519i | −1.35168 | + | 0.203733i | −0.784637 | − | 0.619956i | \(-0.787151\pi\) |
−0.567043 | + | 0.823688i | \(0.691913\pi\) | |||||||
\(282\) | −10.9260 | − | 19.0592i | −0.650635 | − | 1.13496i | ||||
\(283\) | 4.16669 | − | 0.628028i | 0.247684 | − | 0.0373324i | −0.0240267 | − | 0.999711i | \(-0.507649\pi\) |
0.271711 | + | 0.962379i | \(0.412411\pi\) | |||||||
\(284\) | −1.84811 | + | 1.26002i | −0.109665 | + | 0.0747685i | ||||
\(285\) | −1.48914 | + | 3.76031i | −0.0882089 | + | 0.222742i | ||||
\(286\) | −2.51091 | + | 33.5057i | −0.148473 | + | 1.98123i | ||||
\(287\) | −32.4503 | − | 0.343220i | −1.91548 | − | 0.0202597i | ||||
\(288\) | 4.53001 | + | 5.75249i | 0.266934 | + | 0.338968i | ||||
\(289\) | 1.28707 | − | 17.1748i | 0.0757102 | − | 1.01028i | ||||
\(290\) | 2.47353 | − | 10.8372i | 0.145251 | − | 0.636385i | ||||
\(291\) | 5.58101 | − | 5.14666i | 0.327165 | − | 0.301703i | ||||
\(292\) | −0.759103 | − | 0.951885i | −0.0444232 | − | 0.0557049i | ||||
\(293\) | 1.49489 | + | 2.58922i | 0.0873323 | + | 0.151264i | 0.906383 | − | 0.422458i | \(-0.138832\pi\) |
−0.819050 | + | 0.573722i | \(0.805499\pi\) | |||||||
\(294\) | 9.06733 | + | 16.6222i | 0.528818 | + | 0.969424i | ||||
\(295\) | −8.93705 | + | 15.4794i | −0.520335 | + | 0.901247i | ||||
\(296\) | 2.85642 | − | 0.430536i | 0.166026 | − | 0.0250244i | ||||
\(297\) | 5.56135 | − | 23.3726i | 0.322702 | − | 1.35621i | ||||
\(298\) | 3.37864 | − | 1.04217i | 0.195719 | − | 0.0603714i | ||||
\(299\) | −2.17812 | − | 1.48502i | −0.125964 | − | 0.0858809i | ||||
\(300\) | −2.26333 | − | 0.348244i | −0.130673 | − | 0.0201059i | ||||
\(301\) | −0.972573 | + | 2.40303i | −0.0560582 | + | 0.138508i | ||||
\(302\) | −16.4132 | − | 11.1903i | −0.944475 | − | 0.643932i | ||||
\(303\) | 14.1414 | − | 2.08715i | 0.812405 | − | 0.119904i | ||||
\(304\) | 3.48211 | + | 1.67689i | 0.199712 | + | 0.0961764i | ||||
\(305\) | 5.45188 | − | 13.8912i | 0.312174 | − | 0.795406i | ||||
\(306\) | −6.26257 | + | 26.6827i | −0.358007 | + | 1.52535i | ||||
\(307\) | −19.5704 | − | 24.5405i | −1.11694 | − | 1.40060i | −0.906091 | − | 0.423084i | \(-0.860948\pi\) |
−0.210852 | − | 0.977518i | \(-0.567624\pi\) | |||||||
\(308\) | 2.63497 | + | 4.67747i | 0.150142 | + | 0.266523i | ||||
\(309\) | 10.4615 | − | 1.54403i | 0.595137 | − | 0.0878368i | ||||
\(310\) | −31.4259 | − | 15.1339i | −1.78487 | − | 0.859549i | ||||
\(311\) | −1.48207 | − | 0.457160i | −0.0840407 | − | 0.0259231i | 0.252450 | − | 0.967610i | \(-0.418764\pi\) |
−0.336490 | + | 0.941687i | \(0.609240\pi\) | |||||||
\(312\) | 4.43117 | − | 19.1434i | 0.250866 | − | 1.08378i | ||||
\(313\) | −13.3779 | − | 23.1711i | −0.756161 | − | 1.30971i | −0.944795 | − | 0.327662i | \(-0.893739\pi\) |
0.188634 | − | 0.982047i | \(-0.439594\pi\) | |||||||
\(314\) | 3.97841 | + | 17.4306i | 0.224515 | + | 0.983664i | ||||
\(315\) | 20.4027 | − | 9.40874i | 1.14956 | − | 0.530122i | ||||
\(316\) | 0.762251 | − | 3.33964i | 0.0428800 | − | 0.187869i | ||||
\(317\) | 12.7427 | − | 3.93061i | 0.715703 | − | 0.220765i | 0.0845451 | − | 0.996420i | \(-0.473056\pi\) |
0.631158 | + | 0.775655i | \(0.282580\pi\) | |||||||
\(318\) | 5.73862 | − | 14.4909i | 0.321806 | − | 0.812612i | ||||
\(319\) | 4.24764 | + | 10.8228i | 0.237822 | + | 0.605962i | ||||
\(320\) | 3.50130 | − | 15.3402i | 0.195728 | − | 0.857542i | ||||
\(321\) | −2.43909 | − | 33.9440i | −0.136137 | − | 1.89457i | ||||
\(322\) | −2.34066 | − | 0.0247566i | −0.130440 | − | 0.00137963i | ||||
\(323\) | 1.07384 | + | 4.70481i | 0.0597502 | + | 0.261783i | ||||
\(324\) | 1.48800 | − | 3.65875i | 0.0826666 | − | 0.203264i | ||||
\(325\) | 7.00919 | + | 12.1403i | 0.388800 | + | 0.673422i | ||||
\(326\) | −3.06778 | − | 13.4408i | −0.169908 | − | 0.744417i | ||||
\(327\) | 7.85087 | − | 9.78299i | 0.434154 | − | 0.541001i | ||||
\(328\) | 29.5700 | + | 4.45696i | 1.63273 | + | 0.246094i | ||||
\(329\) | 4.55976 | + | 20.9989i | 0.251388 | + | 1.15771i | ||||
\(330\) | 31.9428 | − | 15.2623i | 1.75839 | − | 0.840164i | ||||
\(331\) | 22.1031 | − | 20.5086i | 1.21489 | − | 1.12726i | 0.226714 | − | 0.973961i | \(-0.427202\pi\) |
0.988180 | − | 0.153296i | \(-0.0489887\pi\) | |||||||
\(332\) | −1.53202 | + | 3.90352i | −0.0840804 | + | 0.214233i | ||||
\(333\) | −2.19915 | − | 2.79261i | −0.120513 | − | 0.153034i | ||||
\(334\) | 5.01462 | + | 12.7771i | 0.274388 | + | 0.699129i | ||||
\(335\) | −1.43469 | + | 19.1445i | −0.0783852 | + | 1.04598i | ||||
\(336\) | −7.57046 | − | 20.0909i | −0.413002 | − | 1.09605i | ||||
\(337\) | −1.88765 | − | 25.1890i | −0.102827 | − | 1.37213i | −0.775105 | − | 0.631832i | \(-0.782303\pi\) |
0.672278 | − | 0.740299i | \(-0.265316\pi\) | |||||||
\(338\) | 12.1749 | − | 5.86312i | 0.662226 | − | 0.318911i | ||||
\(339\) | 20.9735 | + | 10.1797i | 1.13912 | + | 0.552883i | ||||
\(340\) | −6.54761 | + | 3.15316i | −0.355094 | + | 0.171004i | ||||
\(341\) | 36.0748 | − | 5.43740i | 1.95356 | − | 0.294452i | ||||
\(342\) | −0.265173 | − | 3.85568i | −0.0143389 | − | 0.208491i | ||||
\(343\) | −3.54627 | − | 18.1776i | −0.191480 | − | 0.981496i | ||||
\(344\) | 1.19441 | − | 2.06879i | 0.0643985 | − | 0.111542i | ||||
\(345\) | −0.216062 | + | 2.76916i | −0.0116324 | + | 0.149087i | ||||
\(346\) | −1.40996 | + | 18.8145i | −0.0757997 | + | 1.01148i | ||||
\(347\) | −10.2422 | − | 9.50334i | −0.549828 | − | 0.510166i | 0.355616 | − | 0.934632i | \(-0.384271\pi\) |
−0.905444 | + | 0.424466i | \(0.860462\pi\) | |||||||
\(348\) | 0.419613 | + | 1.86479i | 0.0224936 | + | 0.0999630i | ||||
\(349\) | −4.71084 | + | 3.21180i | −0.252166 | + | 0.171924i | −0.682805 | − | 0.730600i | \(-0.739240\pi\) |
0.430640 | + | 0.902524i | \(0.358288\pi\) | |||||||
\(350\) | 11.1571 | + | 5.51908i | 0.596371 | + | 0.295007i | ||||
\(351\) | −23.1695 | + | 6.91405i | −1.23669 | + | 0.369045i | ||||
\(352\) | −4.12280 | − | 10.5047i | −0.219746 | − | 0.559903i | ||||
\(353\) | −0.158768 | − | 0.0764587i | −0.00845037 | − | 0.00406948i | 0.429654 | − | 0.902994i | \(-0.358636\pi\) |
−0.438104 | + | 0.898924i | \(0.644350\pi\) | |||||||
\(354\) | 1.32863 | − | 17.0284i | 0.0706158 | − | 0.905050i | ||||
\(355\) | −3.21035 | − | 14.0654i | −0.170388 | − | 0.746516i | ||||
\(356\) | 1.91901 | − | 4.88957i | 0.101708 | − | 0.259147i | ||||
\(357\) | 13.7196 | − | 23.0316i | 0.726119 | − | 1.21896i | ||||
\(358\) | −8.34575 | − | 21.2646i | −0.441087 | − | 1.12387i | ||||
\(359\) | −6.02615 | + | 4.10856i | −0.318048 | + | 0.216841i | −0.711812 | − | 0.702370i | \(-0.752125\pi\) |
0.393764 | + | 0.919212i | \(0.371173\pi\) | |||||||
\(360\) | −19.8207 | + | 5.98100i | −1.04464 | + | 0.315226i | ||||
\(361\) | 9.15975 | + | 15.8652i | 0.482092 | + | 0.835008i | ||||
\(362\) | 18.4339 | + | 31.9285i | 0.968865 | + | 1.67812i | ||||
\(363\) | −9.03530 | + | 15.5394i | −0.474230 | + | 0.815605i | ||||
\(364\) | 2.75084 | − | 4.65030i | 0.144183 | − | 0.243742i | ||||
\(365\) | 7.50402 | − | 2.31468i | 0.392778 | − | 0.121156i | ||||
\(366\) | 1.02203 | + | 14.2232i | 0.0534223 | + | 0.743458i | ||||
\(367\) | 16.3008 | − | 20.4405i | 0.850892 | − | 1.06699i | −0.146083 | − | 0.989272i | \(-0.546667\pi\) |
0.996976 | − | 0.0777131i | \(-0.0247618\pi\) | |||||||
\(368\) | 2.62459 | + | 0.395594i | 0.136816 | + | 0.0206218i | ||||
\(369\) | −13.2332 | − | 34.3354i | −0.688893 | − | 1.78743i | ||||
\(370\) | 1.16551 | − | 5.10644i | 0.0605920 | − | 0.265471i | ||||
\(371\) | −9.63059 | + | 11.8178i | −0.499996 | + | 0.613549i | ||||
\(372\) | 5.99770 | + | 0.0183928i | 0.310966 | + | 0.000953622i | ||||
\(373\) | −1.86918 | −0.0967825 | −0.0483913 | − | 0.998828i | \(-0.515409\pi\) | ||||
−0.0483913 | + | 0.998828i | \(0.515409\pi\) | |||||||
\(374\) | 21.1206 | − | 36.5819i | 1.09212 | − | 1.89161i | ||||
\(375\) | −4.89782 | + | 8.42352i | −0.252923 | + | 0.434989i | ||||
\(376\) | −1.47973 | − | 19.7457i | −0.0763114 | − | 1.01830i | ||||
\(377\) | 7.29547 | − | 9.14824i | 0.375736 | − | 0.471158i | ||||
\(378\) | −13.7154 | + | 16.5176i | −0.705445 | + | 0.849576i | ||||
\(379\) | 16.1405 | + | 20.2396i | 0.829084 | + | 1.03964i | 0.998536 | + | 0.0540995i | \(0.0172288\pi\) |
−0.169452 | + | 0.985538i | \(0.554200\pi\) | |||||||
\(380\) | 0.751208 | − | 0.697019i | 0.0385361 | − | 0.0357563i | ||||
\(381\) | 1.80793 | − | 23.1713i | 0.0926228 | − | 1.18710i | ||||
\(382\) | −2.97692 | + | 2.02963i | −0.152312 | + | 0.103845i | ||||
\(383\) | −9.02080 | + | 11.3117i | −0.460942 | + | 0.578002i | −0.956927 | − | 0.290328i | \(-0.906235\pi\) |
0.495986 | + | 0.868331i | \(0.334807\pi\) | |||||||
\(384\) | 5.15688 | + | 22.9175i | 0.263161 | + | 1.16950i | ||||
\(385\) | −34.2932 | + | 4.79851i | −1.74775 | + | 0.244555i | ||||
\(386\) | −29.3375 | − | 14.1282i | −1.49324 | − | 0.719106i | ||||
\(387\) | −2.93943 | − | 0.0180286i | −0.149420 | − | 0.000916443i | ||||
\(388\) | −1.83813 | + | 0.566989i | −0.0933171 | + | 0.0287845i | ||||
\(389\) | −18.4688 | + | 8.89410i | −0.936405 | + | 0.450949i | −0.838900 | − | 0.544286i | \(-0.816801\pi\) |
−0.0975052 | + | 0.995235i | \(0.531086\pi\) | |||||||
\(390\) | −29.3760 | − | 20.1605i | −1.48751 | − | 1.02087i | ||||
\(391\) | 1.65710 | + | 2.87018i | 0.0838030 | + | 0.145151i | ||||
\(392\) | 0.915104 | + | 17.0415i | 0.0462197 | + | 0.860726i | ||||
\(393\) | 1.45315 | + | 1.35664i | 0.0733017 | + | 0.0684336i | ||||
\(394\) | 1.26164 | − | 3.21460i | 0.0635603 | − | 0.161949i | ||||
\(395\) | 18.2554 | + | 12.4463i | 0.918529 | + | 0.626242i | ||||
\(396\) | −3.82456 | + | 4.73596i | −0.192191 | + | 0.237991i | ||||
\(397\) | −1.47623 | + | 19.6989i | −0.0740897 | + | 0.988659i | 0.829012 | + | 0.559231i | \(0.188904\pi\) |
−0.903101 | + | 0.429427i | \(0.858715\pi\) | |||||||
\(398\) | 33.1352 | − | 22.5912i | 1.66092 | − | 1.13240i | ||||
\(399\) | −0.891386 | + | 3.67365i | −0.0446251 | + | 0.183913i | ||||
\(400\) | −11.6618 | − | 7.95090i | −0.583092 | − | 0.397545i | ||||
\(401\) | 4.24438 | − | 5.32228i | 0.211954 | − | 0.265782i | −0.664478 | − | 0.747308i | \(-0.731346\pi\) |
0.876432 | + | 0.481526i | \(0.159917\pi\) | |||||||
\(402\) | −6.64995 | − | 17.0978i | −0.331670 | − | 0.852760i | ||||
\(403\) | −22.8921 | − | 28.7058i | −1.14034 | − | 1.42994i | ||||
\(404\) | −3.46102 | − | 1.06758i | −0.172192 | − | 0.0531143i | ||||
\(405\) | 18.4612 | + | 17.5558i | 0.917343 | + | 0.872353i | ||||
\(406\) | 0.885968 | − | 10.3520i | 0.0439699 | − | 0.513761i | ||||
\(407\) | 2.00146 | + | 5.09964i | 0.0992087 | + | 0.252780i | ||||
\(408\) | −15.4614 | + | 19.2665i | −0.765453 | + | 0.953832i | ||||
\(409\) | −8.83444 | − | 2.72507i | −0.436835 | − | 0.134746i | 0.0685345 | − | 0.997649i | \(-0.478168\pi\) |
−0.505370 | + | 0.862903i | \(0.668644\pi\) | |||||||
\(410\) | 27.1109 | − | 46.9575i | 1.33891 | − | 2.31906i | ||||
\(411\) | 23.3406 | + | 21.7905i | 1.15131 | + | 1.07485i | ||||
\(412\) | −2.56039 | − | 0.789776i | −0.126141 | − | 0.0389095i | ||||
\(413\) | −6.26773 | + | 15.4863i | −0.308415 | + | 0.762030i | ||||
\(414\) | −0.954517 | − | 2.47663i | −0.0469120 | − | 0.121720i | ||||
\(415\) | −19.8271 | − | 18.3968i | −0.973273 | − | 0.903066i | ||||
\(416\) | −7.08105 | + | 8.87935i | −0.347177 | + | 0.435346i | ||||
\(417\) | −12.2249 | − | 15.4263i | −0.598655 | − | 0.755430i | ||||
\(418\) | −1.32544 | + | 5.80712i | −0.0648292 | + | 0.284035i | ||||
\(419\) | −37.2060 | + | 11.4765i | −1.81763 | + | 0.560665i | −0.999889 | − | 0.0149164i | \(-0.995252\pi\) |
−0.817744 | + | 0.575582i | \(0.804776\pi\) | |||||||
\(420\) | −5.69224 | − | 0.0776643i | −0.277753 | − | 0.00378963i | ||||
\(421\) | 30.0656 | + | 9.27401i | 1.46531 | + | 0.451987i | 0.921882 | − | 0.387470i | \(-0.126651\pi\) |
0.543425 | + | 0.839458i | \(0.317127\pi\) | |||||||
\(422\) | 0.517384 | − | 0.896135i | 0.0251859 | − | 0.0436232i | ||||
\(423\) | −20.2155 | + | 13.6018i | −0.982910 | + | 0.661342i | ||||
\(424\) | 10.2978 | − | 9.55501i | 0.500108 | − | 0.464032i | ||||
\(425\) | −1.31703 | − | 17.5745i | −0.0638852 | − | 0.852488i | ||||
\(426\) | 8.56254 | + | 10.8049i | 0.414857 | + | 0.523499i | ||||
\(427\) | 3.24735 | − | 13.5647i | 0.157150 | − | 0.656440i | ||||
\(428\) | −3.15026 | + | 8.02673i | −0.152274 | + | 0.387987i | ||||
\(429\) | 37.2649 | + | 0.114278i | 1.79917 | + | 0.00551740i | ||||
\(430\) | −2.70060 | − | 3.38644i | −0.130234 | − | 0.163309i | ||||
\(431\) | −0.850707 | − | 11.3519i | −0.0409771 | − | 0.546802i | −0.979481 | − | 0.201534i | \(-0.935407\pi\) |
0.938504 | − | 0.345267i | \(-0.112212\pi\) | |||||||
\(432\) | 17.9974 | − | 16.3937i | 0.865903 | − | 0.788741i | ||||
\(433\) | −11.8814 | + | 5.72176i | −0.570981 | + | 0.274970i | −0.697016 | − | 0.717056i | \(-0.745489\pi\) |
0.126034 | + | 0.992026i | \(0.459775\pi\) | |||||||
\(434\) | −31.0500 | − | 9.93848i | −1.49045 | − | 0.477062i | ||||
\(435\) | −12.1852 | − | 1.87486i | −0.584235 | − | 0.0898925i | ||||
\(436\) | −2.86352 | + | 1.37900i | −0.137138 | + | 0.0660421i | ||||
\(437\) | −0.342582 | − | 0.317870i | −0.0163879 | − | 0.0152058i | ||||
\(438\) | −5.51651 | + | 5.08718i | −0.263589 | + | 0.243075i | ||||
\(439\) | −13.3582 | + | 34.0361i | −0.637552 | + | 1.62445i | 0.135991 | + | 0.990710i | \(0.456578\pi\) |
−0.773542 | + | 0.633745i | \(0.781517\pi\) | |||||||
\(440\) | 31.9084 | 1.52117 | ||||||||
\(441\) | 17.6673 | − | 11.3519i | 0.841300 | − | 0.540568i | ||||
\(442\) | −42.5119 | −2.02208 | ||||||||
\(443\) | −9.93495 | + | 25.3138i | −0.472024 | + | 1.20270i | 0.474556 | + | 0.880225i | \(0.342609\pi\) |
−0.946579 | + | 0.322471i | \(0.895486\pi\) | |||||||
\(444\) | 0.197719 | + | 0.878675i | 0.00938332 | + | 0.0417000i | ||||
\(445\) | 24.8355 | + | 23.0440i | 1.17732 | + | 1.09239i | ||||
\(446\) | 4.82262 | − | 2.32245i | 0.228358 | − | 0.109971i | ||||
\(447\) | −1.42146 | − | 3.65473i | −0.0672327 | − | 0.172863i | ||||
\(448\) | 1.25409 | − | 14.6533i | 0.0592503 | − | 0.692304i | ||||
\(449\) | 32.3827 | − | 15.5947i | 1.52823 | − | 0.735958i | 0.534232 | − | 0.845338i | \(-0.320601\pi\) |
0.994000 | + | 0.109380i | \(0.0348866\pi\) | |||||||
\(450\) | −1.14106 | + | 14.0680i | −0.0537899 | + | 0.663170i | ||||
\(451\) | 4.23812 | + | 56.5538i | 0.199565 | + | 2.66301i | ||||
\(452\) | −3.68300 | − | 4.61833i | −0.173234 | − | 0.217228i | ||||
\(453\) | −11.0745 | + | 19.0465i | −0.520325 | + | 0.894881i | ||||
\(454\) | −3.45751 | + | 8.80958i | −0.162269 | + | 0.413454i | ||||
\(455\) | 21.4388 | + | 27.4745i | 1.00507 | + | 1.28803i | ||||
\(456\) | 1.28258 | − | 3.23871i | 0.0600621 | − | 0.151667i | ||||
\(457\) | 1.54261 | + | 20.5848i | 0.0721604 | + | 0.962914i | 0.909358 | + | 0.416014i | \(0.136573\pi\) |
−0.837198 | + | 0.546900i | \(0.815808\pi\) | |||||||
\(458\) | −28.8127 | + | 26.7343i | −1.34633 | + | 1.24921i | ||||
\(459\) | 30.0152 | + | 4.80688i | 1.40099 | + | 0.224366i | ||||
\(460\) | 0.351887 | − | 0.609486i | 0.0164068 | − | 0.0284175i | ||||
\(461\) | 10.7916 | + | 3.32878i | 0.502617 | + | 0.155037i | 0.535688 | − | 0.844416i | \(-0.320052\pi\) |
−0.0330706 | + | 0.999453i | \(0.510529\pi\) | |||||||
\(462\) | 27.5914 | − | 18.2651i | 1.28367 | − | 0.849770i | ||||
\(463\) | −4.53265 | + | 1.39814i | −0.210650 | + | 0.0649770i | −0.398284 | − | 0.917262i | \(-0.630394\pi\) |
0.187634 | + | 0.982239i | \(0.439918\pi\) | |||||||
\(464\) | −2.62155 | + | 11.4858i | −0.121702 | + | 0.533213i | ||||
\(465\) | −14.2437 | + | 35.9676i | −0.660534 | + | 1.66796i | ||||
\(466\) | 3.81470 | − | 4.78348i | 0.176712 | − | 0.221590i | ||||
\(467\) | −27.8451 | − | 25.8365i | −1.28852 | − | 1.19557i | −0.968740 | − | 0.248079i | \(-0.920201\pi\) |
−0.319780 | − | 0.947492i | \(-0.603609\pi\) | |||||||
\(468\) | 6.05228 | + | 0.950234i | 0.279767 | + | 0.0439246i | ||||
\(469\) | 1.15164 | + | 17.9072i | 0.0531780 | + | 0.826877i | ||||
\(470\) | −34.3081 | − | 10.5826i | −1.58251 | − | 0.488141i | ||||
\(471\) | 18.9661 | − | 5.78664i | 0.873913 | − | 0.266634i | ||||
\(472\) | 7.69738 | − | 13.3322i | 0.354301 | − | 0.613667i | ||||
\(473\) | 4.32910 | + | 1.33535i | 0.199052 | + | 0.0613995i | ||||
\(474\) | −20.8676 | − | 3.21076i | −0.958481 | − | 0.147475i | ||||
\(475\) | 0.907924 | + | 2.31335i | 0.0416584 | + | 0.106144i | ||||
\(476\) | −5.65246 | + | 3.76683i | −0.259080 | + | 0.172653i | ||||
\(477\) | −16.4866 | − | 5.19639i | −0.754870 | − | 0.237927i | ||||
\(478\) | −40.1344 | − | 12.3798i | −1.83570 | − | 0.566240i | ||||
\(479\) | 6.21114 | + | 7.78852i | 0.283794 | + | 0.355867i | 0.903212 | − | 0.429195i | \(-0.141203\pi\) |
−0.619418 | + | 0.785062i | \(0.712631\pi\) | |||||||
\(480\) | 11.8271 | + | 1.81975i | 0.539829 | + | 0.0830599i | ||||
\(481\) | 3.43758 | − | 4.31059i | 0.156740 | − | 0.196546i | ||||
\(482\) | −14.0513 | − | 9.58001i | −0.640019 | − | 0.436357i | ||||
\(483\) | 0.158673 | + | 2.59129i | 0.00721987 | + | 0.117908i | ||||
\(484\) | 3.76311 | − | 2.56564i | 0.171050 | − | 0.116620i | ||||
\(485\) | 0.927187 | − | 12.3725i | 0.0421014 | − | 0.561804i | ||||
\(486\) | −23.1500 | − | 7.53143i | −1.05010 | − | 0.341633i | ||||
\(487\) | −11.4329 | − | 7.79481i | −0.518073 | − | 0.353216i | 0.275883 | − | 0.961191i | \(-0.411030\pi\) |
−0.793956 | + | 0.607975i | \(0.791982\pi\) | |||||||
\(488\) | −4.69564 | + | 11.9643i | −0.212562 | + | 0.541598i | ||||
\(489\) | −14.6249 | + | 4.46211i | −0.661360 | + | 0.201783i | ||||
\(490\) | 29.3698 | + | 9.74433i | 1.32679 | + | 0.440204i | ||||
\(491\) | −0.245966 | − | 0.426025i | −0.0111003 | − | 0.0192262i | 0.860422 | − | 0.509582i | \(-0.170200\pi\) |
−0.871522 | + | 0.490356i | \(0.836867\pi\) | |||||||
\(492\) | −0.725260 | + | 9.29533i | −0.0326973 | + | 0.419066i | ||||
\(493\) | −13.2536 | + | 6.38261i | −0.596913 | + | 0.287458i | ||||
\(494\) | 5.72831 | − | 1.76695i | 0.257729 | − | 0.0794988i | ||||
\(495\) | −19.4229 | − | 34.1231i | −0.872996 | − | 1.53372i | ||||
\(496\) | 33.3065 | + | 16.0396i | 1.49551 | + | 0.720198i | ||||
\(497\) | −4.79351 | − | 12.6040i | −0.215018 | − | 0.565368i | ||||
\(498\) | 24.6742 | + | 7.69392i | 1.10568 | + | 0.344773i | ||||
\(499\) | 3.82612 | − | 4.79780i | 0.171281 | − | 0.214779i | −0.688781 | − | 0.724970i | \(-0.741854\pi\) |
0.860061 | + | 0.510191i | \(0.170425\pi\) | |||||||
\(500\) | 2.03989 | − | 1.39077i | 0.0912268 | − | 0.0621973i | ||||
\(501\) | 13.7359 | − | 6.56302i | 0.613673 | − | 0.293214i | ||||
\(502\) | −23.0274 | + | 21.3663i | −1.02776 | + | 0.953623i | ||||
\(503\) | −21.4000 | − | 26.8348i | −0.954179 | − | 1.19650i | −0.980434 | − | 0.196848i | \(-0.936930\pi\) |
0.0262550 | − | 0.999655i | \(-0.491642\pi\) | |||||||
\(504\) | −17.5726 | + | 8.10363i | −0.782745 | + | 0.360964i | ||||
\(505\) | 14.5656 | − | 18.2647i | 0.648161 | − | 0.812768i | ||||
\(506\) | 0.305697 | + | 4.07925i | 0.0135899 | + | 0.181345i | ||||
\(507\) | −7.45379 | − | 13.0023i | −0.331034 | − | 0.577451i | ||||
\(508\) | −2.94446 | + | 5.09996i | −0.130639 | + | 0.226274i | ||||
\(509\) | −25.8652 | −1.14645 | −0.573227 | − | 0.819397i | \(-0.694309\pi\) | ||||
−0.573227 | + | 0.819397i | \(0.694309\pi\) | |||||||
\(510\) | 22.2769 | + | 38.8594i | 0.986437 | + | 1.72072i | ||||
\(511\) | 6.64637 | − | 3.11456i | 0.294018 | − | 0.137780i | ||||
\(512\) | −2.53893 | + | 11.1238i | −0.112206 | + | 0.491607i | ||||
\(513\) | −4.24422 | + | 0.599835i | −0.187387 | + | 0.0264833i | ||||
\(514\) | 11.7669 | + | 1.77358i | 0.519016 | + | 0.0782291i | ||||
\(515\) | 10.7753 | − | 13.5118i | 0.474818 | − | 0.595403i | ||||
\(516\) | 0.670046 | + | 0.325212i | 0.0294971 | + | 0.0143167i | ||||
\(517\) | 35.8839 | − | 11.0687i | 1.57817 | − | 0.486802i | ||||
\(518\) | 0.417462 | − | 4.87779i | 0.0183422 | − | 0.214318i | ||||
\(519\) | 20.9254 | + | 0.0641709i | 0.918525 | + | 0.00281679i | ||||
\(520\) | −16.0564 | − | 27.8106i | −0.704122 | − | 1.21957i | ||||
\(521\) | 18.5025 | + | 32.0473i | 0.810611 | + | 1.40402i | 0.912437 | + | 0.409217i | \(0.134198\pi\) |
−0.101826 | + | 0.994802i | \(0.532468\pi\) | |||||||
\(522\) | 11.2787 | − | 3.40339i | 0.493654 | − | 0.148962i | ||||
\(523\) | −21.1121 | + | 14.3940i | −0.923167 | + | 0.629405i | −0.928801 | − | 0.370579i | \(-0.879159\pi\) |
0.00563357 | + | 0.999984i | \(0.498207\pi\) | |||||||
\(524\) | −0.184027 | − | 0.468892i | −0.00803925 | − | 0.0204837i | ||||
\(525\) | 5.21854 | − | 12.7811i | 0.227756 | − | 0.557813i | ||||
\(526\) | −10.1456 | + | 25.8506i | −0.442369 | + | 1.12714i | ||||
\(527\) | 10.2714 | + | 45.0017i | 0.447427 | + | 1.96031i | ||||
\(528\) | −33.8543 | + | 16.1757i | −1.47332 | + | 0.703955i | ||||
\(529\) | 20.4331 | + | 9.84007i | 0.888396 | + | 0.427829i | ||||
\(530\) | −9.30584 | − | 23.7109i | −0.404220 | − | 1.02993i | ||||
\(531\) | −18.9431 | − | 0.116185i | −0.822060 | − | 0.00504198i | ||||
\(532\) | 0.605083 | − | 0.742503i | 0.0262337 | − | 0.0321916i | ||||
\(533\) | 47.1582 | − | 32.1519i | 2.04265 | − | 1.39266i | ||||
\(534\) | −30.9070 | − | 9.63744i | −1.33748 | − | 0.417053i | ||||
\(535\) | −40.7701 | − | 37.8291i | −1.76264 | − | 1.63549i | ||||
\(536\) | 1.23568 | − | 16.4890i | 0.0533731 | − | 0.712215i | ||||
\(537\) | −22.8603 | + | 10.9227i | −0.986496 | + | 0.471350i | ||||
\(538\) | 18.3401 | − | 31.7660i | 0.790697 | − | 1.36953i | ||||
\(539\) | −31.1224 | + | 8.88359i | −1.34054 | + | 0.382643i | ||||
\(540\) | −2.30290 | − | 6.03023i | −0.0991009 | − | 0.259500i | ||||
\(541\) | −3.67067 | + | 0.553264i | −0.157814 | + | 0.0237867i | −0.227474 | − | 0.973784i | \(-0.573047\pi\) |
0.0696598 | + | 0.997571i | \(0.477809\pi\) | |||||||
\(542\) | −24.0327 | + | 11.5735i | −1.03229 | + | 0.497126i | ||||
\(543\) | 33.8552 | − | 22.9303i | 1.45286 | − | 0.984033i | ||||
\(544\) | 12.8641 | − | 6.19502i | 0.551543 | − | 0.265609i | ||||
\(545\) | −1.53195 | − | 20.4425i | −0.0656216 | − | 0.875660i | ||||
\(546\) | −29.8035 | − | 14.8569i | −1.27547 | − | 0.635816i | ||||
\(547\) | −0.588402 | + | 7.85168i | −0.0251583 | + | 0.335714i | 0.970396 | + | 0.241521i | \(0.0776461\pi\) |
−0.995554 | + | 0.0941930i | \(0.969973\pi\) | |||||||
\(548\) | −2.95585 | − | 7.53139i | −0.126268 | − | 0.321725i | ||||
\(549\) | 15.6530 | − | 2.26121i | 0.668054 | − | 0.0965063i | ||||
\(550\) | 7.94723 | − | 20.2492i | 0.338871 | − | 0.863429i | ||||
\(551\) | 1.52059 | − | 1.41090i | 0.0647793 | − | 0.0601064i | ||||
\(552\) | 0.186091 | − | 2.38505i | 0.00792057 | − | 0.101514i | ||||
\(553\) | 18.5104 | + | 9.15656i | 0.787143 | + | 0.389377i | ||||
\(554\) | 5.12985 | + | 0.773201i | 0.217946 | + | 0.0328501i | ||||
\(555\) | −5.74158 | − | 0.883420i | −0.243717 | − | 0.0374991i | ||||
\(556\) | 1.10976 | + | 4.86217i | 0.0470643 | + | 0.206202i | ||||
\(557\) | 16.0539 | + | 27.8062i | 0.680226 | + | 1.17819i | 0.974912 | + | 0.222592i | \(0.0714517\pi\) |
−0.294686 | + | 0.955594i | \(0.595215\pi\) | |||||||
\(558\) | −2.53639 | − | 36.8798i | −0.107374 | − | 1.56125i | ||||
\(559\) | −1.01456 | − | 4.44509i | −0.0429114 | − | 0.188007i | ||||
\(560\) | −31.4503 | − | 15.5575i | −1.32902 | − | 0.657426i | ||||
\(561\) | −42.1472 | − | 20.4565i | −1.77946 | − | 0.863673i | ||||
\(562\) | 7.96287 | − | 34.8876i | 0.335893 | − | 1.47164i | ||||
\(563\) | 10.0165 | + | 25.5216i | 0.422145 | + | 1.07561i | 0.970870 | + | 0.239605i | \(0.0770180\pi\) |
−0.548725 | + | 0.836003i | \(0.684887\pi\) | |||||||
\(564\) | 6.10748 | − | 0.901408i | 0.257171 | − | 0.0379561i | ||||
\(565\) | 36.4078 | − | 11.2303i | 1.53169 | − | 0.472463i | ||||
\(566\) | −1.46431 | + | 6.41557i | −0.0615497 | + | 0.269667i | ||||
\(567\) | 19.3627 | + | 13.8595i | 0.813156 | + | 0.582045i | ||||
\(568\) | 2.76503 | + | 12.1144i | 0.116018 | + | 0.508309i | ||||
\(569\) | 1.53973 | + | 2.66689i | 0.0645488 | + | 0.111802i | 0.896494 | − | 0.443056i | \(-0.146106\pi\) |
−0.831945 | + | 0.554858i | \(0.812773\pi\) | |||||||
\(570\) | −4.61686 | − | 4.31024i | −0.193379 | − | 0.180536i | ||||
\(571\) | 23.2230 | + | 7.16333i | 0.971850 | + | 0.299776i | 0.739725 | − | 0.672910i | \(-0.234956\pi\) |
0.232126 | + | 0.972686i | \(0.425432\pi\) | |||||||
\(572\) | −8.50705 | − | 4.09678i | −0.355698 | − | 0.171295i | ||||
\(573\) | 2.48189 | + | 3.13184i | 0.103682 | + | 0.130835i | ||||
\(574\) | 19.0134 | − | 46.9782i | 0.793604 | − | 1.96083i | ||||
\(575\) | 1.06411 | + | 1.33436i | 0.0443767 | + | 0.0556466i | ||||
\(576\) | 15.9650 | − | 4.81752i | 0.665209 | − | 0.200730i | ||||
\(577\) | 1.46833 | − | 3.74125i | 0.0611274 | − | 0.155750i | −0.897047 | − | 0.441935i | \(-0.854292\pi\) |
0.958174 | + | 0.286185i | \(0.0923873\pi\) | |||||||
\(578\) | 24.2332 | + | 11.6701i | 1.00797 | + | 0.485412i | ||||
\(579\) | −13.2971 | + | 33.5773i | −0.552608 | + | 1.39543i | ||||
\(580\) | 2.58099 | + | 1.75969i | 0.107170 | + | 0.0730671i | ||||
\(581\) | −20.7360 | − | 14.4612i | −0.860274 | − | 0.599950i | ||||
\(582\) | 4.29763 | + | 11.0497i | 0.178143 | + | 0.458025i | ||||
\(583\) | 22.0123 | + | 15.0077i | 0.911657 | + | 0.621557i | ||||
\(584\) | −6.46312 | + | 1.99361i | −0.267446 | + | 0.0824961i | ||||
\(585\) | −19.9672 | + | 34.0995i | −0.825542 | + | 1.40984i | ||||
\(586\) | −4.61694 | + | 0.695892i | −0.190724 | + | 0.0287470i | ||||
\(587\) | 10.1113 | − | 17.5133i | 0.417340 | − | 0.722853i | −0.578331 | − | 0.815802i | \(-0.696296\pi\) |
0.995671 | + | 0.0929487i | \(0.0296293\pi\) | |||||||
\(588\) | −5.27915 | + | 0.665391i | −0.217708 | + | 0.0274403i | ||||
\(589\) | −3.25446 | − | 5.63689i | −0.134098 | − | 0.232264i | ||||
\(590\) | −17.4039 | − | 21.8238i | −0.716508 | − | 0.898473i | ||||
\(591\) | −3.65640 | − | 1.14014i | −0.150404 | − | 0.0468991i | ||||
\(592\) | −1.23526 | + | 5.41201i | −0.0507687 | + | 0.222432i | ||||
\(593\) | 1.07819 | − | 14.3874i | 0.0442758 | − | 0.590820i | −0.930305 | − | 0.366786i | \(-0.880458\pi\) |
0.974581 | − | 0.224034i | \(-0.0719227\pi\) | |||||||
\(594\) | 30.8044 | + | 21.4199i | 1.26392 | + | 0.878868i | ||||
\(595\) | −9.29682 | − | 42.8144i | −0.381132 | − | 1.75522i | ||||
\(596\) | −0.0742519 | + | 0.990822i | −0.00304148 | + | 0.0405857i | ||||
\(597\) | −27.6252 | − | 34.8597i | −1.13062 | − | 1.42671i | ||||
\(598\) | 3.40155 | − | 2.31913i | 0.139100 | − | 0.0948365i | ||||
\(599\) | 21.2117 | − | 3.19715i | 0.866687 | − | 0.130632i | 0.299376 | − | 0.954135i | \(-0.403222\pi\) |
0.567311 | + | 0.823503i | \(0.307984\pi\) | |||||||
\(600\) | −6.39447 | + | 10.9975i | −0.261053 | + | 0.448972i | ||||
\(601\) | 8.14096 | − | 1.22705i | 0.332077 | − | 0.0500525i | 0.0191122 | − | 0.999817i | \(-0.493916\pi\) |
0.312964 | + | 0.949765i | \(0.398678\pi\) | |||||||
\(602\) | −2.93846 | − | 2.78490i | −0.119763 | − | 0.113504i | ||||
\(603\) | −18.3856 | + | 8.71554i | −0.748721 | + | 0.354924i | ||||
\(604\) | 4.61241 | − | 3.14469i | 0.187676 | − | 0.127956i | ||||
\(605\) | 6.53688 | + | 28.6400i | 0.265762 | + | 1.16438i | ||||
\(606\) | −5.03422 | + | 21.7487i | −0.204501 | + | 0.883480i | ||||
\(607\) | 26.6737 | 1.08265 | 0.541327 | − | 0.840812i | \(-0.317922\pi\) | ||||
0.541327 | + | 0.840812i | \(0.317922\pi\) | |||||||
\(608\) | −1.47590 | + | 1.36943i | −0.0598555 | + | 0.0555378i | ||||
\(609\) | −11.5222 | − | 0.157208i | −0.466903 | − | 0.00637037i | ||||
\(610\) | 17.0835 | + | 15.8511i | 0.691689 | + | 0.641794i | ||||
\(611\) | −27.7042 | − | 25.7057i | −1.12079 | − | 1.03994i | ||||
\(612\) | −6.33702 | − | 4.37768i | −0.256159 | − | 0.176957i | ||||
\(613\) | −9.58952 | − | 1.44539i | −0.387317 | − | 0.0583786i | −0.0475024 | − | 0.998871i | \(-0.515126\pi\) |
−0.339814 | + | 0.940492i | \(0.610364\pi\) | |||||||
\(614\) | 46.8412 | − | 14.4486i | 1.89036 | − | 0.583098i | ||||
\(615\) | −54.1012 | − | 26.2585i | −2.18157 | − | 1.05884i | ||||
\(616\) | 29.5364 | − | 4.13290i | 1.19005 | − | 0.166519i | ||||
\(617\) | −26.4655 | + | 24.5564i | −1.06546 | + | 0.988603i | −0.999957 | − | 0.00924889i | \(-0.997056\pi\) |
−0.0655039 | + | 0.997852i | \(0.520865\pi\) | |||||||
\(618\) | −3.72421 | + | 16.0892i | −0.149810 | + | 0.647204i | ||||
\(619\) | −23.2559 | −0.934734 | −0.467367 | − | 0.884063i | \(-0.654797\pi\) | ||||
−0.467367 | + | 0.884063i | \(0.654797\pi\) | |||||||
\(620\) | 7.18534 | − | 6.66702i | 0.288570 | − | 0.267754i | ||||
\(621\) | −2.66387 | + | 1.25279i | −0.106897 | + | 0.0502728i | ||||
\(622\) | 1.51018 | − | 1.89371i | 0.0605528 | − | 0.0759308i | ||||
\(623\) | 25.9740 | + | 18.1141i | 1.04063 | + | 0.725727i | ||||
\(624\) | 31.1340 | + | 21.3669i | 1.24636 | + | 0.855361i | ||||
\(625\) | 6.89531 | + | 30.2103i | 0.275812 | + | 1.20841i | ||||
\(626\) | 41.3173 | − | 6.22758i | 1.65137 | − | 0.248904i | ||||
\(627\) | 6.52942 | + | 1.00464i | 0.260760 | + | 0.0401214i | ||||
\(628\) | −4.96816 | − | 0.748829i | −0.198251 | − | 0.0298815i | ||||
\(629\) | −6.24502 | + | 3.00744i | −0.249005 | + | 0.119915i | ||||
\(630\) | 2.03708 | + | 35.0281i | 0.0811593 | + | 1.39555i | ||||
\(631\) | −10.6396 | − | 5.12376i | −0.423556 | − | 0.203974i | 0.209949 | − | 0.977712i | \(-0.432670\pi\) |
−0.633505 | + | 0.773739i | \(0.718384\pi\) | |||||||
\(632\) | −15.7232 | − | 10.7199i | −0.625434 | − | 0.426413i | ||||
\(633\) | −1.03247 | − | 0.501116i | −0.0410368 | − | 0.0199176i | ||||
\(634\) | −1.55628 | + | 20.7671i | −0.0618078 | + | 0.824767i | ||||
\(635\) | −23.6823 | − | 29.6967i | −0.939804 | − | 1.17848i | ||||
\(636\) | 3.20155 | + | 2.98893i | 0.126950 | + | 0.118519i | ||||
\(637\) | 23.4037 | + | 22.6553i | 0.927286 | + | 0.897634i | ||||
\(638\) | −18.1570 | −0.718841 | ||||||||
\(639\) | 11.2722 | − | 10.3311i | 0.445920 | − | 0.408692i | ||||
\(640\) | 31.7193 | + | 21.6259i | 1.25382 | + | 0.854838i | ||||
\(641\) | 1.65013 | − | 7.22971i | 0.0651764 | − | 0.285556i | −0.931828 | − | 0.362900i | \(-0.881787\pi\) |
0.997004 | + | 0.0773436i | \(0.0246438\pi\) | |||||||
\(642\) | 50.7370 | + | 15.8209i | 2.00243 | + | 0.624400i | ||||
\(643\) | −2.03685 | − | 27.1798i | −0.0803254 | − | 1.07187i | −0.881109 | − | 0.472913i | \(-0.843202\pi\) |
0.800784 | − | 0.598954i | \(-0.204417\pi\) | |||||||
\(644\) | 0.246785 | − | 0.609756i | 0.00972470 | − | 0.0240277i | ||||
\(645\) | −3.53154 | + | 3.25669i | −0.139054 | + | 0.128232i | ||||
\(646\) | −7.45222 | − | 1.12324i | −0.293203 | − | 0.0441933i | ||||
\(647\) | 1.65482 | + | 22.0820i | 0.0650576 | + | 0.868133i | 0.930305 | + | 0.366788i | \(0.119542\pi\) |
−0.865247 | + | 0.501346i | \(0.832839\pi\) | |||||||
\(648\) | −15.9004 | − | 15.1206i | −0.624626 | − | 0.593992i | ||||
\(649\) | 27.8988 | + | 8.60563i | 1.09512 | + | 0.337801i | ||||
\(650\) | −21.6478 | + | 3.26288i | −0.849096 | + | 0.127981i | ||||
\(651\) | −8.52615 | + | 35.1387i | −0.334166 | + | 1.37719i | ||||
\(652\) | 3.83097 | + | 0.577426i | 0.150032 | + | 0.0226137i | ||||
\(653\) | 28.5245 | + | 13.7367i | 1.11625 | + | 0.537557i | 0.898731 | − | 0.438499i | \(-0.144490\pi\) |
0.217517 | + | 0.976056i | \(0.430204\pi\) | |||||||
\(654\) | 9.74255 | + | 16.9947i | 0.380964 | + | 0.664547i | ||||
\(655\) | 3.24894 | 0.126946 | ||||||||
\(656\) | −28.7333 | + | 49.7675i | −1.12185 | + | 1.94309i | ||||
\(657\) | 6.06615 | + | 5.69820i | 0.236663 | + | 0.222308i | ||||
\(658\) | −33.1284 | − | 5.35222i | −1.29148 | − | 0.208651i | ||||
\(659\) | 9.80102 | + | 9.09402i | 0.381794 | + | 0.354253i | 0.847602 | − | 0.530633i | \(-0.178046\pi\) |
−0.465808 | + | 0.884886i | \(0.654236\pi\) | |||||||
\(660\) | 0.713027 | + | 9.92293i | 0.0277545 | + | 0.386250i | ||||
\(661\) | −5.84587 | − | 14.8950i | −0.227378 | − | 0.579349i | 0.770966 | − | 0.636876i | \(-0.219774\pi\) |
−0.998344 | + | 0.0575268i | \(0.981679\pi\) | |||||||
\(662\) | 17.2032 | + | 43.8331i | 0.668622 | + | 1.70362i | ||||
\(663\) | 3.37929 | + | 47.0283i | 0.131241 | + | 1.82643i | ||||
\(664\) | 17.0768 | + | 15.8450i | 0.662710 | + | 0.614905i | ||||
\(665\) | 3.03223 | + | 5.38266i | 0.117585 | + | 0.208731i | ||||
\(666\) | 5.31443 | − | 1.60366i | 0.205930 | − | 0.0621404i | ||||
\(667\) | 0.712287 | − | 1.23372i | 0.0275799 | − | 0.0477698i | ||||
\(668\) | −3.85722 | −0.149240 | ||||||||
\(669\) | −2.95254 | − | 5.15036i | −0.114152 | − | 0.199124i | ||||
\(670\) | −27.0125 | − | 13.0085i | −1.04358 | − | 0.502563i | ||||
\(671\) | −24.1028 | − | 3.63291i | −0.930477 | − | 0.140247i | ||||
\(672\) | 11.1835 | + | 0.152587i | 0.431415 | + | 0.00588617i | ||||
\(673\) | −4.99836 | + | 0.753381i | −0.192673 | + | 0.0290407i | −0.244670 | − | 0.969607i | \(-0.578679\pi\) |
0.0519970 | + | 0.998647i | \(0.483441\pi\) | |||||||
\(674\) | 37.6950 | + | 11.6274i | 1.45196 | + | 0.447870i | ||||
\(675\) | 15.6532 | + | 0.144012i | 0.602493 | + | 0.00554303i | ||||
\(676\) | 0.283782 | + | 3.78681i | 0.0109147 | + | 0.145646i | ||||
\(677\) | −29.2040 | − | 4.40179i | −1.12240 | − | 0.169174i | −0.438486 | − | 0.898738i | \(-0.644485\pi\) |
−0.683913 | + | 0.729563i | \(0.739723\pi\) | |||||||
\(678\) | −26.7649 | + | 24.6819i | −1.02790 | + | 0.947901i | ||||
\(679\) | −0.744268 | − | 11.5728i | −0.0285624 | − | 0.444123i | ||||
\(680\) | 3.01700 | + | 40.2591i | 0.115697 | + | 1.54387i | ||||
\(681\) | 10.0203 | + | 3.12455i | 0.383980 | + | 0.119733i | ||||
\(682\) | −12.6779 | + | 55.5453i | −0.485460 | + | 2.12694i | ||||
\(683\) | 2.87986 | + | 1.96345i | 0.110195 | + | 0.0751294i | 0.617163 | − | 0.786835i | \(-0.288282\pi\) |
−0.506969 | + | 0.861964i | \(0.669234\pi\) | |||||||
\(684\) | 1.03584 | + | 0.326486i | 0.0396064 | + | 0.0124835i | ||||
\(685\) | 52.1847 | 1.99387 | ||||||||
\(686\) | 28.4486 | + | 5.21585i | 1.08617 | + | 0.199142i | ||||
\(687\) | 31.8648 | + | 29.7486i | 1.21572 | + | 1.13498i | ||||
\(688\) | 2.86220 | + | 3.58909i | 0.109121 | + | 0.136833i | ||||
\(689\) | 2.00369 | − | 26.7374i | 0.0763345 | − | 1.01861i | ||||
\(690\) | −3.90235 | − | 1.89403i | −0.148560 | − | 0.0721047i | ||||
\(691\) | −16.5683 | − | 11.2961i | −0.630288 | − | 0.429723i | 0.205590 | − | 0.978638i | \(-0.434089\pi\) |
−0.835878 | + | 0.548915i | \(0.815041\pi\) | |||||||
\(692\) | −4.77698 | − | 2.30047i | −0.181594 | − | 0.0874509i | ||||
\(693\) | −22.3988 | − | 29.0707i | −0.850861 | − | 1.10431i | ||||
\(694\) | 19.6589 | − | 9.46725i | 0.746243 | − | 0.359372i | ||||
\(695\) | −31.8081 | − | 4.79431i | −1.20655 | − | 0.181858i | ||||
\(696\) | 10.4950 | + | 1.61479i | 0.397811 | + | 0.0612085i | ||||
\(697\) | −70.9537 | + | 10.6945i | −2.68756 | + | 0.405085i | ||||
\(698\) | −1.98133 | − | 8.68079i | −0.0749946 | − | 0.328573i | ||||
\(699\) | −5.59490 | − | 3.83972i | −0.211619 | − | 0.145232i | ||||
\(700\) | −2.58922 | + | 2.35198i | −0.0978633 | + | 0.0888963i | ||||
\(701\) | −14.5925 | + | 18.2984i | −0.551150 | + | 0.691120i | −0.976894 | − | 0.213724i | \(-0.931441\pi\) |
0.425744 | + | 0.904843i | \(0.360012\pi\) | |||||||
\(702\) | 3.16811 | − | 37.6270i | 0.119573 | − | 1.42014i | ||||
\(703\) | 0.716491 | − | 0.664807i | 0.0270230 | − | 0.0250737i | ||||
\(704\) | −25.7013 | −0.968654 | ||||||||
\(705\) | −8.97977 | + | 38.7942i | −0.338198 | + | 1.46107i | ||||
\(706\) | 0.201735 | − | 0.187183i | 0.00759240 | − | 0.00704472i | ||||
\(707\) | 11.1171 | − | 18.7935i | 0.418101 | − | 0.706802i | ||||
\(708\) | 4.31810 | + | 2.09582i | 0.162284 | + | 0.0787658i | ||||
\(709\) | 22.8557 | − | 7.05004i | 0.858362 | − | 0.264770i | 0.165828 | − | 0.986155i | \(-0.446970\pi\) |
0.692534 | + | 0.721385i | \(0.256494\pi\) | |||||||
\(710\) | 22.2790 | + | 3.35803i | 0.836118 | + | 0.126024i | ||||
\(711\) | −1.89310 | + | 23.3398i | −0.0709966 | + | 0.875310i | ||||
\(712\) | −21.3905 | − | 19.8475i | −0.801644 | − | 0.743817i | ||||
\(713\) | −3.27681 | − | 3.04044i | −0.122718 | − | 0.113865i | ||||
\(714\) | 25.6541 | + | 33.0853i | 0.960080 | + | 1.23818i | ||||
\(715\) | 44.6440 | − | 41.4235i | 1.66959 | − | 1.54915i | ||||
\(716\) | 6.41950 | 0.239908 | ||||||||
\(717\) | −10.5047 | + | 45.3823i | −0.392306 | + | 1.69483i | ||||
\(718\) | −2.53454 | − | 11.1045i | −0.0945881 | − | 0.414418i | ||||
\(719\) | 15.4706 | − | 10.5477i | 0.576956 | − | 0.393362i | −0.239392 | − | 0.970923i | \(-0.576948\pi\) |
0.816347 | + | 0.577561i | \(0.195996\pi\) | |||||||
\(720\) | 3.21648 | − | 39.6556i | 0.119871 | − | 1.47788i | ||||
\(721\) | 8.22420 | − | 13.9030i | 0.306285 | − | 0.517776i | ||||
\(722\) | −28.2898 | + | 4.26400i | −1.05284 | + | 0.158690i | ||||
\(723\) | −9.48083 | + | 16.3056i | −0.352596 | + | 0.606411i | ||||
\(724\) | −10.2448 | + | 1.54416i | −0.380745 | + | 0.0573881i | ||||
\(725\) | −6.25910 | + | 4.26738i | −0.232457 | + | 0.158487i | ||||
\(726\) | −17.4350 | − | 22.0009i | −0.647073 | − | 0.816528i | ||||
\(727\) | 2.14526 | − | 28.6265i | 0.0795632 | − | 1.06170i | −0.804384 | − | 0.594110i | \(-0.797504\pi\) |
0.883947 | − | 0.467587i | \(-0.154877\pi\) | |||||||
\(728\) | −18.4650 | − | 23.6635i | −0.684357 | − | 0.877027i | ||||
\(729\) | −6.49136 | + | 26.2081i | −0.240421 | + | 0.970669i | ||||
\(730\) | −0.916472 | + | 12.2295i | −0.0339202 | + | 0.452633i | ||||
\(731\) | −1.27550 | + | 5.58832i | −0.0471760 | + | 0.206692i | ||||
\(732\) | −3.82561 | − | 1.19290i | −0.141399 | − | 0.0440910i | ||||
\(733\) | −8.57713 | − | 10.7554i | −0.316803 | − | 0.397259i | 0.597777 | − | 0.801662i | \(-0.296051\pi\) |
−0.914581 | + | 0.404403i | \(0.867479\pi\) | |||||||
\(734\) | 20.4147 | + | 35.3592i | 0.753519 | + | 1.30513i | ||||
\(735\) | 8.44493 | − | 33.2646i | 0.311496 | − | 1.22698i | ||||
\(736\) | −0.691352 | + | 1.19746i | −0.0254836 | + | 0.0441389i | ||||
\(737\) | 31.0085 | − | 4.67377i | 1.14221 | − | 0.172161i | ||||
\(738\) | 57.4647 | + | 0.352451i | 2.11530 | + | 0.0129739i | ||||
\(739\) | −8.78706 | + | 2.71045i | −0.323237 | + | 0.0997055i | −0.452127 | − | 0.891953i | \(-0.649335\pi\) |
0.128890 | + | 0.991659i | \(0.458859\pi\) | |||||||
\(740\) | 1.21614 | + | 0.829153i | 0.0447064 | + | 0.0304803i | ||||
\(741\) | −2.41001 | − | 6.19642i | −0.0885340 | − | 0.227631i | ||||
\(742\) | −11.6852 | − | 20.7429i | −0.428976 | − | 0.761496i | ||||
\(743\) | 29.4583 | + | 20.0843i | 1.08072 | + | 0.736823i | 0.966509 | − | 0.256633i | \(-0.0826132\pi\) |
0.114212 | + | 0.993456i | \(0.463566\pi\) | |||||||
\(744\) | 12.2679 | − | 30.9784i | 0.449763 | − | 1.13572i | ||||
\(745\) | −5.77405 | − | 2.78063i | −0.211545 | − | 0.101875i | ||||
\(746\) | 1.06646 | − | 2.71729i | 0.0390458 | − | 0.0994870i | ||||
\(747\) | 6.54995 | − | 27.9071i | 0.239650 | − | 1.02107i | ||||
\(748\) | 7.40115 | + | 9.28075i | 0.270613 | + | 0.339338i | ||||
\(749\) | −42.6390 | − | 29.7362i | −1.55800 | − | 1.08654i | ||||
\(750\) | −9.45109 | − | 11.9261i | −0.345105 | − | 0.435481i | ||||
\(751\) | 0.00488539 | + | 0.00235268i | 0.000178271 | + | 8.58506e-5i | 0.433973 | − | 0.900926i | \(-0.357111\pi\) |
−0.433795 | + | 0.901012i | \(0.642826\pi\) | |||||||
\(752\) | 36.3612 | + | 11.2159i | 1.32595 | + | 0.409003i | ||||
\(753\) | 25.4666 | + | 23.7753i | 0.928056 | + | 0.866421i | ||||
\(754\) | 9.13667 | + | 15.8252i | 0.332738 | + | 0.576319i | ||||
\(755\) | 8.01221 | + | 35.1038i | 0.291594 | + | 1.27756i | ||||
\(756\) | −2.91276 | − | 5.28367i | −0.105936 | − | 0.192165i | ||||
\(757\) | 4.38546 | − | 19.2140i | 0.159392 | − | 0.698343i | −0.830559 | − | 0.556931i | \(-0.811979\pi\) |
0.989951 | − | 0.141412i | \(-0.0451641\pi\) | |||||||
\(758\) | −38.6319 | + | 11.9164i | −1.40317 | + | 0.432822i | ||||
\(759\) | 4.48832 | − | 0.662435i | 0.162916 | − | 0.0240449i | ||||
\(760\) | −2.07984 | − | 5.29936i | −0.0754439 | − | 0.192228i | ||||
\(761\) | 0.0743968 | − | 0.325954i | 0.00269688 | − | 0.0118158i | −0.973562 | − | 0.228425i | \(-0.926643\pi\) |
0.976258 | + | 0.216609i | \(0.0694997\pi\) | |||||||
\(762\) | 32.6534 | + | 15.8486i | 1.18291 | + | 0.574134i | ||||
\(763\) | −4.06586 | − | 18.7244i | −0.147194 | − | 0.677868i | ||||
\(764\) | −0.225303 | − | 0.987115i | −0.00815116 | − | 0.0357126i | ||||
\(765\) | 41.2170 | − | 27.7325i | 1.49020 | − | 1.00267i | ||||
\(766\) | −11.2974 | − | 19.5677i | −0.408193 | − | 0.707010i | ||||
\(767\) | −6.53833 | − | 28.6463i | −0.236085 | − | 1.03436i | ||||
\(768\) | −17.2263 | − | 2.65049i | −0.621600 | − | 0.0956415i | ||||
\(769\) | −24.1401 | − | 3.63854i | −0.870515 | − | 0.131209i | −0.301431 | − | 0.953488i | \(-0.597464\pi\) |
−0.569085 | + | 0.822279i | \(0.692702\pi\) | |||||||
\(770\) | 12.5902 | − | 52.5910i | 0.453719 | − | 1.89525i | ||||
\(771\) | 1.02664 | − | 13.1580i | 0.0369736 | − | 0.473874i | ||||
\(772\) | 6.70783 | − | 6.22396i | 0.241420 | − | 0.224005i | ||||
\(773\) | 7.20675 | − | 18.3625i | 0.259209 | − | 0.660453i | −0.740727 | − | 0.671806i | \(-0.765519\pi\) |
0.999936 | + | 0.0113534i | \(0.00361399\pi\) | |||||||
\(774\) | 1.70329 | − | 4.26286i | 0.0612237 | − | 0.153225i | ||||
\(775\) | 8.68434 | + | 22.1273i | 0.311951 | + | 0.794837i | ||||
\(776\) | −0.798575 | + | 10.6562i | −0.0286672 | + | 0.382537i | ||||
\(777\) | −5.42918 | − | 0.0740751i | −0.194771 | − | 0.00265743i | ||||
\(778\) | −2.39231 | − | 31.9232i | −0.0857685 | − | 1.14450i | ||||
\(779\) | 9.11622 | − | 4.39014i | 0.326623 | − | 0.157293i | ||||
\(780\) | 8.28979 | − | 5.61472i | 0.296822 | − | 0.201039i | ||||
\(781\) | −21.2318 | + | 10.2247i | −0.759735 | + | 0.365869i | ||||
\(782\) | −5.11792 | + | 0.771402i | −0.183016 | + | 0.0275853i | ||||
\(783\) | −4.66151 | − | 12.2063i | −0.166589 | − | 0.436219i | ||||
\(784\) | −31.1274 | − | 10.3274i | −1.11169 | − | 0.368837i | ||||
\(785\) | 16.2032 | − | 28.0648i | 0.578319 | − | 1.00168i | ||||
\(786\) | −2.80129 | + | 1.33846i | −0.0999186 | + | 0.0477413i | ||||
\(787\) | 1.19366 | − | 15.9283i | 0.0425495 | − | 0.567783i | −0.934665 | − | 0.355529i | \(-0.884301\pi\) |
0.977215 | − | 0.212254i | \(-0.0680804\pi\) | |||||||
\(788\) | 0.711385 | + | 0.660069i | 0.0253420 | + | 0.0235140i | ||||
\(789\) | 29.4034 | + | 9.16858i | 1.04679 | + | 0.326410i | ||||
\(790\) | −28.5092 | + | 19.4372i | −1.01431 | + | 0.691546i | ||||
\(791\) | 32.2467 | − | 15.1112i | 1.14656 | − | 0.537291i | ||||
\(792\) | 16.7287 | + | 29.3898i | 0.594430 | + | 1.04432i | ||||
\(793\) | 8.96226 | + | 22.8355i | 0.318259 | + | 0.810912i | ||||
\(794\) | −27.7946 | − | 13.3852i | −0.986395 | − | 0.475023i | ||||
\(795\) | −25.4902 | + | 12.1793i | −0.904043 | + | 0.431954i | ||||
\(796\) | 2.50778 | + | 10.9873i | 0.0888859 | + | 0.389435i | ||||
\(797\) | 6.91503 | − | 17.6192i | 0.244943 | − | 0.624104i | −0.754540 | − | 0.656254i | \(-0.772140\pi\) |
0.999483 | + | 0.0321496i | \(0.0102353\pi\) | |||||||
\(798\) | −4.83193 | − | 3.39183i | −0.171048 | − | 0.120070i | ||||
\(799\) | 17.3584 | + | 44.2285i | 0.614097 | + | 1.56469i | ||||
\(800\) | 6.07513 | − | 4.14196i | 0.214788 | − | 0.146440i | ||||
\(801\) | −8.20450 | + | 34.9566i | −0.289892 | + | 1.23513i | ||||
\(802\) | 5.31555 | + | 9.20680i | 0.187699 | + | 0.325103i | ||||
\(803\) | −6.41353 | − | 11.1086i | −0.226329 | − | 0.392013i | ||||
\(804\) | 5.15539 | + | 0.0158097i | 0.181816 | + | 0.000557566i | ||||
\(805\) | 3.07951 | + | 2.91858i | 0.108539 | + | 0.102867i | ||||
\(806\) | 54.7915 | − | 16.9009i | 1.92995 | − | 0.595311i | ||||
\(807\) | −36.5986 | − | 17.7634i | −1.28833 | − | 0.625302i | ||||
\(808\) | −12.5452 | + | 15.7312i | −0.441338 | + | 0.553420i | ||||
\(809\) | 18.8956 | + | 2.84806i | 0.664335 | + | 0.100132i | 0.472549 | − | 0.881304i | \(-0.343334\pi\) |
0.191786 | + | 0.981437i | \(0.438572\pi\) | |||||||
\(810\) | −36.0544 | + | 16.8212i | −1.26682 | + | 0.591037i | ||||
\(811\) | −1.01264 | + | 4.43666i | −0.0355586 | + | 0.155792i | −0.989590 | − | 0.143913i | \(-0.954031\pi\) |
0.954032 | + | 0.299706i | \(0.0968885\pi\) | |||||||
\(812\) | 2.61704 | + | 1.29458i | 0.0918402 | + | 0.0454307i | ||||
\(813\) | 14.7135 | + | 25.6659i | 0.516024 | + | 0.900144i | ||||
\(814\) | −8.55544 | −0.299868 | ||||||||
\(815\) | −12.4944 | + | 21.6409i | −0.437660 | + | 0.758049i | ||||
\(816\) | −23.6100 | − | 41.1848i | −0.826514 | − | 1.44176i | ||||
\(817\) | −0.0604028 | − | 0.806019i | −0.00211323 | − | 0.0281990i | ||||
\(818\) | 9.00199 | − | 11.2881i | 0.314747 | − | 0.394680i | ||||
\(819\) | −14.0662 | + | 34.1508i | −0.491511 | + | 1.19332i | ||||
\(820\) | 9.50031 | + | 11.9130i | 0.331765 | + | 0.416020i | ||||
\(821\) | −15.0317 | + | 13.9474i | −0.524611 | + | 0.486768i | −0.897443 | − | 0.441131i | \(-0.854577\pi\) |
0.372831 | + | 0.927899i | \(0.378387\pi\) | |||||||
\(822\) | −44.9945 | + | 21.4985i | −1.56936 | + | 0.749845i | ||||
\(823\) | 39.2832 | − | 26.7829i | 1.36933 | − | 0.933592i | 0.369337 | − | 0.929296i | \(-0.379585\pi\) |
0.999991 | − | 0.00429609i | \(-0.00136749\pi\) | |||||||
\(824\) | −9.28066 | + | 11.6376i | −0.323307 | + | 0.405414i | ||||
\(825\) | −23.0322 | − | 7.18191i | −0.801877 | − | 0.250042i | ||||
\(826\) | −18.9369 | − | 17.9473i | −0.658897 | − | 0.624465i | ||||
\(827\) | −18.3914 | − | 8.85681i | −0.639530 | − | 0.307981i | 0.0858727 | − | 0.996306i | \(-0.472632\pi\) |
−0.725403 | + | 0.688325i | \(0.758346\pi\) | |||||||
\(828\) | 0.745865 | + | 0.00457465i | 0.0259206 | + | 0.000158980i | ||||
\(829\) | 27.0372 | − | 8.33989i | 0.939042 | − | 0.289656i | 0.212801 | − | 0.977096i | \(-0.431742\pi\) |
0.726242 | + | 0.687439i | \(0.241265\pi\) | |||||||
\(830\) | 38.0564 | − | 18.3270i | 1.32096 | − | 0.636139i | ||||
\(831\) | 0.447570 | − | 5.73630i | 0.0155260 | − | 0.198990i | ||||
\(832\) | 12.9330 | + | 22.4006i | 0.448371 | + | 0.776602i | ||||
\(833\) | −14.1512 | − | 38.4274i | −0.490310 | − | 1.33143i | ||||
\(834\) | 29.4006 | − | 8.97024i | 1.01806 | − | 0.310614i | ||||
\(835\) | 9.08932 | − | 23.1592i | 0.314549 | − | 0.801457i | ||||
\(836\) | −1.38302 | − | 0.942926i | −0.0478327 | − | 0.0326118i | ||||
\(837\) | −40.5962 | + | 5.73744i | −1.40321 | + | 0.198315i | ||||
\(838\) | 4.54400 | − | 60.6355i | 0.156970 | − | 2.09462i | ||||
\(839\) | −41.7265 | + | 28.4487i | −1.44056 | + | 0.982157i | −0.444288 | + | 0.895884i | \(0.646543\pi\) |
−0.996272 | + | 0.0862732i | \(0.972504\pi\) | |||||||
\(840\) | −11.9545 | + | 29.2786i | −0.412468 | + | 1.01021i | ||||
\(841\) | −18.7365 | − | 12.7743i | −0.646086 | − | 0.440494i | ||||
\(842\) | −30.6358 | + | 38.4161i | −1.05578 | + | 1.32390i | ||||
\(843\) | −39.2270 | − | 6.03560i | −1.35105 | − | 0.207877i | ||||
\(844\) | 0.181304 | + | 0.227348i | 0.00624073 | + | 0.00782562i | ||||
\(845\) | −23.4052 | − | 7.21954i | −0.805162 | − | 0.248360i | ||||
\(846\) | −8.23949 | − | 37.1484i | −0.283280 | − | 1.27719i | ||||
\(847\) | 9.76050 | + | 25.6642i | 0.335375 | + | 0.881833i | ||||
\(848\) | 9.86271 | + | 25.1298i | 0.338687 | + | 0.862960i | ||||
\(849\) | 7.21355 | + | 1.10990i | 0.247568 | + | 0.0380918i | ||||
\(850\) | 26.3000 | + | 8.11248i | 0.902084 | + | 0.278256i | ||||
\(851\) | 0.335625 | − | 0.581320i | 0.0115051 | − | 0.0199274i | ||||
\(852\) | −3.70557 | + | 1.13058i | −0.126951 | + | 0.0387332i | ||||
\(853\) | 45.6581 | + | 14.0837i | 1.56330 | + | 0.482215i | 0.951203 | − | 0.308565i | \(-0.0998487\pi\) |
0.612100 | + | 0.790780i | \(0.290325\pi\) | |||||||
\(854\) | 17.8666 | + | 12.4601i | 0.611383 | + | 0.426375i | ||||
\(855\) | −4.40116 | + | 5.44997i | −0.150517 | + | 0.186385i | ||||
\(856\) | 35.1148 | + | 32.5817i | 1.20020 | + | 1.11362i | ||||
\(857\) | −25.5700 | + | 32.0637i | −0.873454 | + | 1.09528i | 0.121263 | + | 0.992620i | \(0.461306\pi\) |
−0.994717 | + | 0.102656i | \(0.967266\pi\) | |||||||
\(858\) | −21.4275 | + | 54.1080i | −0.731524 | + | 1.84722i | ||||
\(859\) | −4.63960 | + | 20.3274i | −0.158301 | + | 0.693562i | 0.832018 | + | 0.554749i | \(0.187186\pi\) |
−0.990319 | + | 0.138813i | \(0.955671\pi\) | |||||||
\(860\) | 1.16313 | − | 0.358778i | 0.0396624 | − | 0.0122342i | ||||
\(861\) | −53.4805 | − | 17.2990i | −1.82261 | − | 0.589550i | ||||
\(862\) | 16.9880 | + | 5.24010i | 0.578613 | + | 0.178479i | ||||
\(863\) | −8.49577 | + | 14.7151i | −0.289199 | + | 0.500908i | −0.973619 | − | 0.228180i | \(-0.926722\pi\) |
0.684419 | + | 0.729089i | \(0.260056\pi\) | |||||||
\(864\) | 4.52450 | + | 11.8476i | 0.153927 | + | 0.403063i | ||||
\(865\) | 25.0690 | − | 23.2607i | 0.852372 | − | 0.790886i | ||||
\(866\) | −1.53902 | − | 20.5368i | −0.0522981 | − | 0.697870i | ||||
\(867\) | 10.9836 | − | 27.7354i | 0.373023 | − | 0.941943i | ||||
\(868\) | 5.78765 | − | 7.10207i | 0.196446 | − | 0.241060i | ||||
\(869\) | 13.1850 | − | 33.5949i | 0.447272 | − | 1.13963i | ||||
\(870\) | 9.67777 | − | 16.6443i | 0.328107 | − | 0.564295i | ||||
\(871\) | −19.6771 | − | 24.6744i | −0.666735 | − | 0.836059i | ||||
\(872\) | 1.31945 | + | 17.6069i | 0.0446823 | + | 0.596244i | ||||
\(873\) | 11.8820 | − | 5.63255i | 0.402144 | − | 0.190633i | ||||
\(874\) | 0.657557 | − | 0.316663i | 0.0222422 | − | 0.0107113i | ||||
\(875\) | 5.29094 | + | 13.9120i | 0.178866 | + | 0.470310i | ||||
\(876\) | −0.764402 | − | 1.96537i | −0.0258267 | − | 0.0664035i | ||||
\(877\) | 15.0569 | − | 7.25101i | 0.508435 | − | 0.244849i | −0.162037 | − | 0.986785i | \(-0.551806\pi\) |
0.670471 | + | 0.741936i | \(0.266092\pi\) | |||||||
\(878\) | −41.8579 | − | 38.8385i | −1.41264 | − | 1.31073i | ||||
\(879\) | 1.13682 | + | 5.05212i | 0.0383441 | + | 0.170404i | ||||
\(880\) | −22.4021 | + | 57.0797i | −0.755176 | + | 1.92416i | ||||
\(881\) | −12.9194 | −0.435267 | −0.217634 | − | 0.976031i | \(-0.569834\pi\) | ||||
−0.217634 | + | 0.976031i | \(0.569834\pi\) | |||||||
\(882\) | 6.42263 | + | 32.1603i | 0.216261 | + | 1.08290i | ||||
\(883\) | −32.2583 | −1.08558 | −0.542789 | − | 0.839869i | \(-0.682631\pi\) | ||||
−0.542789 | + | 0.839869i | \(0.682631\pi\) | |||||||
\(884\) | 4.36459 | − | 11.1208i | 0.146797 | − | 0.374032i | ||||
\(885\) | −22.7589 | + | 20.9877i | −0.765033 | + | 0.705493i | ||||
\(886\) | −31.1312 | − | 28.8855i | −1.04587 | − | 0.970428i | ||||
\(887\) | −31.8509 | + | 15.3386i | −1.06945 | + | 0.515019i | −0.883928 | − | 0.467622i | \(-0.845111\pi\) |
−0.185519 | + | 0.982641i | \(0.559396\pi\) | |||||||
\(888\) | 4.94516 | + | 0.760879i | 0.165949 | + | 0.0255334i | ||||
\(889\) | −25.7682 | − | 24.4216i | −0.864239 | − | 0.819076i | ||||
\(890\) | −47.6696 | + | 22.9565i | −1.59789 | + | 0.769503i | ||||
\(891\) | 21.2468 | − | 35.7797i | 0.711796 | − | 1.19867i | ||||
\(892\) | 0.112410 | + | 1.50000i | 0.00376375 | + | 0.0502238i | ||||
\(893\) | −4.17728 | − | 5.23814i | −0.139787 | − | 0.175288i | ||||
\(894\) | 6.12402 | + | 0.0187802i | 0.204818 | + | 0.000628103i | ||||
\(895\) | −15.1272 | + | 38.5434i | −0.505646 | + | 1.28837i | ||||
\(896\) | 32.1624 | + | 15.9098i | 1.07447 | + | 0.531510i | ||||
\(897\) | −2.83591 | − | 3.57857i | −0.0946881 | − | 0.119485i | ||||
\(898\) | 4.19461 | + | 55.9732i | 0.139976 | + | 1.86785i | ||||
\(899\) | 14.5445 | − | 13.4953i | 0.485086 | − | 0.450094i | ||||
\(900\) | −3.56292 | − | 1.74281i | −0.118764 | − | 0.0580937i | ||||
\(901\) | −16.8541 | + | 29.1922i | −0.561492 | + | 0.972532i | ||||
\(902\) | −84.6321 | − | 26.1055i | −2.81794 | − | 0.869219i | ||||
\(903\) | −2.84719 | + | 3.47201i | −0.0947485 | + | 0.115541i | ||||
\(904\) | −31.3576 | + | 9.67254i | −1.04294 | + | 0.321704i | ||||
\(905\) | 14.8700 | − | 65.1498i | 0.494296 | − | 2.16565i | ||||
\(906\) | −21.3699 | − | 26.9663i | −0.709968 | − | 0.895894i | ||||
\(907\) | 25.5867 | − | 32.0847i | 0.849593 | − | 1.06536i | −0.147493 | − | 0.989063i | \(-0.547120\pi\) |
0.997085 | − | 0.0762923i | \(-0.0243082\pi\) | |||||||
\(908\) | −1.94955 | − | 1.80891i | −0.0646980 | − | 0.0600309i | ||||
\(909\) | 24.4594 | + | 3.84023i | 0.811267 | + | 0.127372i | ||||
\(910\) | −52.1724 | + | 15.4907i | −1.72950 | + | 0.513512i | ||||
\(911\) | 10.7168 | + | 3.30570i | 0.355064 | + | 0.109523i | 0.467155 | − | 0.884175i | \(-0.345279\pi\) |
−0.112092 | + | 0.993698i | \(0.535755\pi\) | |||||||
\(912\) | 4.89314 | + | 4.56818i | 0.162028 | + | 0.151267i | ||||
\(913\) | −22.0898 | + | 38.2606i | −0.731065 | + | 1.26624i | ||||
\(914\) | −30.8049 | − | 9.50204i | −1.01893 | − | 0.314300i | ||||
\(915\) | 16.1772 | − | 20.1584i | 0.534801 | − | 0.666416i | ||||
\(916\) | −4.03536 | − | 10.2819i | −0.133332 | − | 0.339724i | ||||
\(917\) | 3.00741 | − | 0.420815i | 0.0993136 | − | 0.0138965i | ||||
\(918\) | −24.1130 | + | 40.8915i | −0.795849 | + | 1.34962i | ||||
\(919\) | 34.6106 | + | 10.6760i | 1.14170 | + | 0.352167i | 0.807228 | − | 0.590239i | \(-0.200967\pi\) |
0.334470 | + | 0.942407i | \(0.391443\pi\) | |||||||
\(920\) | −2.43764 | − | 3.05671i | −0.0803667 | − | 0.100777i | ||||
\(921\) | −19.7070 | − | 50.6690i | −0.649368 | − | 1.66960i | ||||
\(922\) | −10.9963 | + | 13.7889i | −0.362144 | + | 0.454114i | ||||
\(923\) | 19.5956 | + | 13.3600i | 0.644996 | + | 0.439751i | ||||
\(924\) | 1.94528 | + | 9.09292i | 0.0639950 | + | 0.299135i | ||||
\(925\) | −2.94925 | + | 2.01076i | −0.0969706 | + | 0.0661134i | ||||
\(926\) | 0.553577 | − | 7.38697i | 0.0181917 | − | 0.242751i | ||||
\(927\) | 18.0946 | + | 2.84092i | 0.594303 | + | 0.0933082i | ||||
\(928\) | −5.07086 | − | 3.45726i | −0.166459 | − | 0.113490i | ||||
\(929\) | −4.44295 | + | 11.3204i | −0.145768 | + | 0.371412i | −0.985046 | − | 0.172291i | \(-0.944883\pi\) |
0.839278 | + | 0.543703i | \(0.182978\pi\) | |||||||
\(930\) | −44.1605 | − | 41.2277i | −1.44808 | − | 1.35191i | ||||
\(931\) | 3.50400 | + | 4.58977i | 0.114839 | + | 0.150424i | ||||
\(932\) | 0.859676 | + | 1.48900i | 0.0281596 | + | 0.0487739i | ||||
\(933\) | −2.21494 | − | 1.52009i | −0.0725138 | − | 0.0497655i | ||||
\(934\) | 53.4464 | − | 25.7384i | 1.74882 | − | 0.842186i | ||||
\(935\) | −73.1632 | + | 22.5678i | −2.39269 | + | 0.738048i | ||||
\(936\) | 17.1975 | − | 29.3695i | 0.562118 | − | 0.959971i | ||||
\(937\) | 12.4586 | + | 5.99973i | 0.407004 | + | 0.196003i | 0.626173 | − | 0.779684i | \(-0.284620\pi\) |
−0.219169 | + | 0.975687i | \(0.570335\pi\) | |||||||
\(938\) | −26.6893 | − | 8.54273i | −0.871437 | − | 0.278930i | ||||
\(939\) | −10.1735 | − | 45.2118i | −0.332000 | − | 1.47543i | ||||
\(940\) | 6.29066 | − | 7.88824i | 0.205179 | − | 0.257286i | ||||
\(941\) | 34.1726 | − | 23.2985i | 1.11399 | − | 0.759508i | 0.140924 | − | 0.990020i | \(-0.454993\pi\) |
0.973069 | + | 0.230513i | \(0.0740403\pi\) | |||||||
\(942\) | −2.40886 | + | 30.8732i | −0.0784848 | + | 1.00590i | ||||
\(943\) | 5.09387 | − | 4.72642i | 0.165879 | − | 0.153913i | ||||
\(944\) | 18.4454 | + | 23.1298i | 0.600347 | + | 0.752811i | ||||
\(945\) | 38.5876 | − | 5.03790i | 1.25525 | − | 0.163883i | ||||
\(946\) | −4.41120 | + | 5.53147i | −0.143420 | + | 0.179844i | ||||
\(947\) | 0.858153 | + | 11.4513i | 0.0278862 | + | 0.372116i | 0.993636 | + | 0.112640i | \(0.0359307\pi\) |
−0.965750 | + | 0.259476i | \(0.916450\pi\) | |||||||
\(948\) | 2.98233 | − | 5.12917i | 0.0968617 | − | 0.166588i | ||||
\(949\) | −6.45463 | + | 11.1798i | −0.209526 | + | 0.362910i | ||||
\(950\) | −3.88101 | −0.125917 | ||||||||
\(951\) | 23.0971 | + | 0.0708305i | 0.748974 | + | 0.00229684i | ||||
\(952\) | 8.00724 | + | 36.8755i | 0.259516 | + | 1.19514i | ||||
\(953\) | 5.69150 | − | 24.9361i | 0.184366 | − | 0.807760i | −0.795153 | − | 0.606409i | \(-0.792610\pi\) |
0.979519 | − | 0.201351i | \(-0.0645332\pi\) | |||||||
\(954\) | 16.9606 | − | 21.0023i | 0.549118 | − | 0.679975i | ||||
\(955\) | 6.45767 | + | 0.973338i | 0.208965 | + | 0.0314965i | ||||
\(956\) | 7.35896 | − | 9.22784i | 0.238006 | − | 0.298450i | ||||
\(957\) | 1.44330 | + | 20.0859i | 0.0466554 | + | 0.649286i | ||||
\(958\) | −14.8662 | + | 4.58561i | −0.480304 | + | 0.148154i | ||||
\(959\) | 48.3053 | − | 6.75916i | 1.55986 | − | 0.218265i | ||||
\(960\) | 13.6990 | − | 23.5601i | 0.442132 | − | 0.760400i | ||||
\(961\) | −15.6291 | − | 27.0703i | −0.504164 | − | 0.873237i | ||||
\(962\) | 4.30514 | + | 7.45671i | 0.138803 | + | 0.240414i | ||||
\(963\) | 13.4685 | − | 57.3849i | 0.434018 | − | 1.84920i | ||||
\(964\) | 3.94867 | − | 2.69215i | 0.127178 | − | 0.0867085i | ||||
\(965\) | 21.5628 | + | 54.9410i | 0.694130 | + | 1.76861i | ||||
\(966\) | −3.85757 | − | 1.24779i | −0.124115 | − | 0.0401469i | ||||
\(967\) | −1.75355 | + | 4.46798i | −0.0563905 | + | 0.143681i | −0.956293 | − | 0.292411i | \(-0.905542\pi\) |
0.899902 | + | 0.436092i | \(0.143638\pi\) | |||||||
\(968\) | −5.63014 | − | 24.6673i | −0.180960 | − | 0.792836i | ||||
\(969\) | −0.650192 | + | 8.33321i | −0.0208872 | + | 0.267701i | ||||
\(970\) | 17.4572 | + | 8.40696i | 0.560518 | + | 0.269931i | ||||
\(971\) | −12.7372 | − | 32.4538i | −0.408755 | − | 1.04149i | −0.975967 | − | 0.217919i | \(-0.930073\pi\) |
0.567212 | − | 0.823572i | \(-0.308022\pi\) | |||||||
\(972\) | 4.34691 | − | 5.28262i | 0.139427 | − | 0.169440i | ||||
\(973\) | −30.0645 | − | 0.317987i | −0.963825 | − | 0.0101942i | ||||
\(974\) | 17.8546 | − | 12.1730i | 0.572097 | − | 0.390049i | ||||
\(975\) | 5.33032 | + | 23.6883i | 0.170707 | + | 0.758631i | ||||
\(976\) | −18.1058 | − | 16.7997i | −0.579552 | − | 0.537745i | ||||
\(977\) | 3.24529 | − | 43.3054i | 0.103826 | − | 1.38546i | −0.665400 | − | 0.746487i | \(-0.731739\pi\) |
0.769226 | − | 0.638977i | \(-0.220642\pi\) | |||||||
\(978\) | 1.85748 | − | 23.8065i | 0.0593957 | − | 0.761248i | ||||
\(979\) | 27.6698 | − | 47.9254i | 0.884329 | − | 1.53170i | ||||
\(980\) | −5.56437 | + | 6.68250i | −0.177747 | + | 0.213464i | ||||
\(981\) | 18.0258 | − | 12.1285i | 0.575519 | − | 0.387233i | ||||
\(982\) | 0.759662 | − | 0.114501i | 0.0242418 | − | 0.00365386i | ||||
\(983\) | 21.2916 | − | 10.2535i | 0.679097 | − | 0.327036i | −0.0623435 | − | 0.998055i | \(-0.519857\pi\) |
0.741440 | + | 0.671019i | \(0.234143\pi\) | |||||||
\(984\) | 46.5967 | + | 22.6161i | 1.48545 | + | 0.720975i | ||||
\(985\) | −5.63947 | + | 2.71583i | −0.179689 | + | 0.0865335i | ||||
\(986\) | −1.71678 | − | 22.9088i | −0.0546733 | − | 0.729565i | ||||
\(987\) | −3.28745 | + | 37.0733i | −0.104641 | + | 1.18006i | ||||
\(988\) | −0.125890 | + | 1.67989i | −0.00400510 | + | 0.0534444i | ||||
\(989\) | −0.202800 | − | 0.516726i | −0.00644866 | − | 0.0164309i | ||||
\(990\) | 60.6876 | − | 8.76686i | 1.92878 | − | 0.278629i | ||||
\(991\) | −5.69725 | + | 14.5163i | −0.180979 | + | 0.461127i | −0.992358 | − | 0.123394i | \(-0.960622\pi\) |
0.811379 | + | 0.584521i | \(0.198717\pi\) | |||||||
\(992\) | −14.1170 | + | 13.0987i | −0.448216 | + | 0.415883i | ||||
\(993\) | 47.1224 | − | 22.5152i | 1.49538 | − | 0.714497i | ||||
\(994\) | 21.0578 | + | 0.222724i | 0.667913 | + | 0.00706438i | ||||
\(995\) | −71.8785 | − | 10.8339i | −2.27870 | − | 0.343459i | ||||
\(996\) | −4.54590 | + | 5.66466i | −0.144043 | + | 0.179492i | ||||
\(997\) | −5.04058 | − | 22.0842i | −0.159637 | − | 0.699415i | −0.989867 | − | 0.141995i | \(-0.954648\pi\) |
0.830231 | − | 0.557420i | \(-0.188209\pi\) | |||||||
\(998\) | 4.79174 | + | 8.29953i | 0.151680 | + | 0.262717i | ||||
\(999\) | −2.19647 | − | 5.75155i | −0.0694933 | − | 0.181971i |
(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 | 441.2.z.a.142.15 | yes | 648 | |
9.4 | even | 3 | 441.2.y.a.436.15 | yes | 648 | ||
49.39 | even | 21 | 441.2.y.a.88.15 | ✓ | 648 | ||
441.382 | even | 21 | inner | 441.2.z.a.382.15 | yes | 648 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
441.2.y.a.88.15 | ✓ | 648 | 49.39 | even | 21 | ||
441.2.y.a.436.15 | yes | 648 | 9.4 | even | 3 | ||
441.2.z.a.142.15 | yes | 648 | 1.1 | even | 1 | trivial | |
441.2.z.a.382.15 | yes | 648 | 441.382 | even | 21 | inner |