Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [260,2,Mod(27,260)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(260, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 1, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("260.27");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 260 = 2^{2} \cdot 5 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 260.o (of order \(4\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.07611045255\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Relative dimension: | \(36\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 183.24 | ||
Character | \(\chi\) | \(=\) | 260.183 |
Dual form | 260.2.o.a.27.24 |
$q$-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 \(\left(\mathbb{Z}/260\mathbb{Z}\right)^\times\).
\(n\) | \(41\) | \(131\) | \(157\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{3}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.688553 | + | 1.23527i | 0.486881 | + | 0.873468i | ||||
\(3\) | 1.59413 | − | 1.59413i | 0.920370 | − | 0.920370i | −0.0766851 | − | 0.997055i | \(-0.524434\pi\) |
0.997055 | + | 0.0766851i | \(0.0244336\pi\) | |||||||
\(4\) | −1.05179 | + | 1.70110i | −0.525894 | + | 0.850550i | ||||
\(5\) | 1.94514 | + | 1.10291i | 0.869895 | + | 0.493238i | ||||
\(6\) | 3.06682 | + | 0.871538i | 1.25202 | + | 0.355804i | ||||
\(7\) | −0.0942377 | − | 0.0942377i | −0.0356185 | − | 0.0356185i | 0.689073 | − | 0.724692i | \(-0.258018\pi\) |
−0.724692 | + | 0.689073i | \(0.758018\pi\) | |||||||
\(8\) | −2.82553 | − | 0.127946i | −0.998976 | − | 0.0452358i | ||||
\(9\) | − | 2.08249i | − | 0.694163i | ||||||
\(10\) | −0.0230609 | + | 3.16219i | −0.00729250 | + | 0.999973i | ||||
\(11\) | − | 2.08771i | − | 0.629469i | −0.949180 | − | 0.314734i | \(-0.898085\pi\) | ||
0.949180 | − | 0.314734i | \(-0.101915\pi\) | |||||||
\(12\) | 1.03508 | + | 4.38846i | 0.298803 | + | 1.26684i | ||||
\(13\) | −0.707107 | − | 0.707107i | −0.196116 | − | 0.196116i | ||||
\(14\) | 0.0515214 | − | 0.181297i | 0.0137697 | − | 0.0484536i | ||||
\(15\) | 4.85899 | − | 1.34262i | 1.25459 | − | 0.346664i | ||||
\(16\) | −1.78748 | − | 3.57840i | −0.446870 | − | 0.894599i | ||||
\(17\) | −3.21214 | + | 3.21214i | −0.779058 | + | 0.779058i | −0.979671 | − | 0.200612i | \(-0.935707\pi\) |
0.200612 | + | 0.979671i | \(0.435707\pi\) | |||||||
\(18\) | 2.57244 | − | 1.43390i | 0.606329 | − | 0.337974i | ||||
\(19\) | −3.07287 | −0.704965 | −0.352483 | − | 0.935818i | \(-0.614662\pi\) | ||||
−0.352483 | + | 0.935818i | \(0.614662\pi\) | |||||||
\(20\) | −3.92204 | + | 2.14885i | −0.876996 | + | 0.480498i | ||||
\(21\) | −0.300454 | −0.0655644 | ||||||||
\(22\) | 2.57889 | − | 1.43750i | 0.549821 | − | 0.306476i | ||||
\(23\) | 4.44667 | − | 4.44667i | 0.927196 | − | 0.927196i | −0.0703283 | − | 0.997524i | \(-0.522405\pi\) |
0.997524 | + | 0.0703283i | \(0.0224047\pi\) | |||||||
\(24\) | −4.70822 | + | 4.30030i | −0.961062 | + | 0.877794i | ||||
\(25\) | 2.56717 | + | 4.29065i | 0.513433 | + | 0.858129i | ||||
\(26\) | 0.386588 | − | 1.36035i | 0.0758161 | − | 0.266786i | ||||
\(27\) | 1.46263 | + | 1.46263i | 0.281484 | + | 0.281484i | ||||
\(28\) | 0.259426 | − | 0.0611896i | 0.0490269 | − | 0.0115637i | ||||
\(29\) | − | 0.0603882i | − | 0.0112138i | −0.999984 | − | 0.00560691i | \(-0.998215\pi\) | ||
0.999984 | − | 0.00560691i | \(-0.00178474\pi\) | |||||||
\(30\) | 5.00418 | + | 5.07770i | 0.913634 | + | 0.927058i | ||||
\(31\) | − | 3.95313i | − | 0.710004i | −0.934866 | − | 0.355002i | \(-0.884480\pi\) | ||
0.934866 | − | 0.355002i | \(-0.115520\pi\) | |||||||
\(32\) | 3.18951 | − | 4.67194i | 0.563831 | − | 0.825890i | ||||
\(33\) | −3.32808 | − | 3.32808i | −0.579344 | − | 0.579344i | ||||
\(34\) | −6.17959 | − | 1.75613i | −1.05979 | − | 0.301174i | ||||
\(35\) | −0.0793699 | − | 0.287242i | −0.0134160 | − | 0.0485527i | ||||
\(36\) | 3.54252 | + | 2.19034i | 0.590420 | + | 0.365056i | ||||
\(37\) | −3.14507 | + | 3.14507i | −0.517047 | + | 0.517047i | −0.916677 | − | 0.399630i | \(-0.869139\pi\) |
0.399630 | + | 0.916677i | \(0.369139\pi\) | |||||||
\(38\) | −2.11584 | − | 3.79583i | −0.343234 | − | 0.615765i | ||||
\(39\) | −2.25444 | −0.360999 | ||||||||
\(40\) | −5.35495 | − | 3.36519i | −0.846692 | − | 0.532083i | ||||
\(41\) | −8.79014 | −1.37279 | −0.686394 | − | 0.727230i | \(-0.740808\pi\) | ||||
−0.686394 | + | 0.727230i | \(0.740808\pi\) | |||||||
\(42\) | −0.206878 | − | 0.371142i | −0.0319220 | − | 0.0572684i | ||||
\(43\) | −6.26368 | + | 6.26368i | −0.955202 | + | 0.955202i | −0.999039 | − | 0.0438365i | \(-0.986042\pi\) |
0.0438365 | + | 0.999039i | \(0.486042\pi\) | |||||||
\(44\) | 3.55140 | + | 2.19583i | 0.535394 | + | 0.331034i | ||||
\(45\) | 2.29680 | − | 4.05074i | 0.342387 | − | 0.603848i | ||||
\(46\) | 8.55462 | + | 2.43108i | 1.26131 | + | 0.358442i | ||||
\(47\) | −5.57941 | − | 5.57941i | −0.813840 | − | 0.813840i | 0.171367 | − | 0.985207i | \(-0.445182\pi\) |
−0.985207 | + | 0.171367i | \(0.945182\pi\) | |||||||
\(48\) | −8.55389 | − | 2.85495i | −1.23465 | − | 0.412076i | ||||
\(49\) | − | 6.98224i | − | 0.997463i | ||||||
\(50\) | −3.53248 | + | 6.12549i | −0.499568 | + | 0.866275i | ||||
\(51\) | 10.2411i | 1.43404i | ||||||||
\(52\) | 1.94659 | − | 0.459132i | 0.269943 | − | 0.0636702i | ||||
\(53\) | −3.86564 | − | 3.86564i | −0.530987 | − | 0.530987i | 0.389879 | − | 0.920866i | \(-0.372517\pi\) |
−0.920866 | + | 0.389879i | \(0.872517\pi\) | |||||||
\(54\) | −0.799646 | + | 2.81385i | −0.108818 | + | 0.382916i | ||||
\(55\) | 2.30256 | − | 4.06090i | 0.310478 | − | 0.547571i | ||||
\(56\) | 0.254214 | + | 0.278329i | 0.0339708 | + | 0.0371933i | ||||
\(57\) | −4.89855 | + | 4.89855i | −0.648829 | + | 0.648829i | ||||
\(58\) | 0.0745958 | − | 0.0415805i | 0.00979491 | − | 0.00545979i | ||||
\(59\) | 5.43037 | 0.706974 | 0.353487 | − | 0.935439i | \(-0.384996\pi\) | ||||
0.353487 | + | 0.935439i | \(0.384996\pi\) | |||||||
\(60\) | −2.82670 | + | 9.67779i | −0.364925 | + | 1.24940i | ||||
\(61\) | 12.0751 | 1.54606 | 0.773030 | − | 0.634370i | \(-0.218740\pi\) | ||||
0.773030 | + | 0.634370i | \(0.218740\pi\) | |||||||
\(62\) | 4.88319 | − | 2.72194i | 0.620166 | − | 0.345687i | ||||
\(63\) | −0.196249 | + | 0.196249i | −0.0247250 | + | 0.0247250i | ||||
\(64\) | 7.96726 | + | 0.723032i | 0.995907 | + | 0.0903790i | ||||
\(65\) | −0.595547 | − | 2.15530i | −0.0738685 | − | 0.267332i | ||||
\(66\) | 1.81952 | − | 6.40264i | 0.223967 | − | 0.788110i | ||||
\(67\) | −5.51319 | − | 5.51319i | −0.673543 | − | 0.673543i | 0.284988 | − | 0.958531i | \(-0.408010\pi\) |
−0.958531 | + | 0.284988i | \(0.908010\pi\) | |||||||
\(68\) | −2.08568 | − | 8.84266i | −0.252926 | − | 1.07233i | ||||
\(69\) | − | 14.1771i | − | 1.70673i | ||||||
\(70\) | 0.300171 | − | 0.295824i | 0.0358773 | − | 0.0353578i | ||||
\(71\) | 1.82705i | 0.216831i | 0.994106 | + | 0.108415i | \(0.0345777\pi\) | ||||
−0.994106 | + | 0.108415i | \(0.965422\pi\) | |||||||
\(72\) | −0.266446 | + | 5.88414i | −0.0314010 | + | 0.693452i | ||||
\(73\) | 10.5349 | + | 10.5349i | 1.23301 | + | 1.23301i | 0.962800 | + | 0.270213i | \(0.0870942\pi\) |
0.270213 | + | 0.962800i | \(0.412906\pi\) | |||||||
\(74\) | −6.05056 | − | 1.71947i | −0.703364 | − | 0.199884i | ||||
\(75\) | 10.9322 | + | 2.74745i | 1.26235 | + | 0.317248i | ||||
\(76\) | 3.23201 | − | 5.22726i | 0.370737 | − | 0.599608i | ||||
\(77\) | −0.196741 | + | 0.196741i | −0.0224207 | + | 0.0224207i | ||||
\(78\) | −1.55230 | − | 2.78484i | −0.175763 | − | 0.315321i | ||||
\(79\) | 7.53432 | 0.847677 | 0.423839 | − | 0.905738i | \(-0.360682\pi\) | ||||
0.423839 | + | 0.905738i | \(0.360682\pi\) | |||||||
\(80\) | 0.469750 | − | 8.93193i | 0.0525196 | − | 0.998620i | ||||
\(81\) | 10.9107 | 1.21230 | ||||||||
\(82\) | −6.05248 | − | 10.8582i | −0.668384 | − | 1.19909i | ||||
\(83\) | −10.7812 | + | 10.7812i | −1.18339 | + | 1.18339i | −0.204524 | + | 0.978861i | \(0.565565\pi\) |
−0.978861 | + | 0.204524i | \(0.934435\pi\) | |||||||
\(84\) | 0.316014 | − | 0.511102i | 0.0344799 | − | 0.0557658i | ||||
\(85\) | −9.79078 | + | 2.70536i | −1.06196 | + | 0.293438i | ||||
\(86\) | −12.0502 | − | 3.42446i | −1.29941 | − | 0.369270i | ||||
\(87\) | −0.0962666 | − | 0.0962666i | −0.0103209 | − | 0.0103209i | ||||
\(88\) | −0.267115 | + | 5.89889i | −0.0284745 | + | 0.628824i | ||||
\(89\) | 2.38303i | 0.252600i | 0.991992 | + | 0.126300i | \(0.0403103\pi\) | ||||
−0.991992 | + | 0.126300i | \(0.959690\pi\) | |||||||
\(90\) | 6.58523 | + | 0.0480241i | 0.694144 | + | 0.00506218i | ||||
\(91\) | 0.133272i | 0.0139707i | ||||||||
\(92\) | 2.88727 | + | 12.2412i | 0.301019 | + | 1.27623i | ||||
\(93\) | −6.30180 | − | 6.30180i | −0.653466 | − | 0.653466i | ||||
\(94\) | 3.05036 | − | 10.7338i | 0.314621 | − | 1.10711i | ||||
\(95\) | −5.97718 | − | 3.38911i | −0.613245 | − | 0.347715i | ||||
\(96\) | −2.36318 | − | 12.5322i | −0.241191 | − | 1.27906i | ||||
\(97\) | 8.89152 | − | 8.89152i | 0.902797 | − | 0.902797i | −0.0928800 | − | 0.995677i | \(-0.529607\pi\) |
0.995677 | + | 0.0928800i | \(0.0296073\pi\) | |||||||
\(98\) | 8.62496 | − | 4.80764i | 0.871252 | − | 0.485645i | ||||
\(99\) | −4.34763 | −0.436954 | ||||||||
\(100\) | −9.99894 | − | 0.145846i | −0.999894 | − | 0.0145846i | ||||
\(101\) | 8.50140 | 0.845921 | 0.422960 | − | 0.906148i | \(-0.360991\pi\) | ||||
0.422960 | + | 0.906148i | \(0.360991\pi\) | |||||||
\(102\) | −12.6506 | + | 7.05156i | −1.25259 | + | 0.698208i | ||||
\(103\) | −8.61228 | + | 8.61228i | −0.848593 | + | 0.848593i | −0.989958 | − | 0.141364i | \(-0.954851\pi\) |
0.141364 | + | 0.989958i | \(0.454851\pi\) | |||||||
\(104\) | 1.90748 | + | 2.08842i | 0.187044 | + | 0.204787i | ||||
\(105\) | −0.584426 | − | 0.331374i | −0.0570341 | − | 0.0323388i | ||||
\(106\) | 2.11341 | − | 7.43682i | 0.205273 | − | 0.722327i | ||||
\(107\) | −7.38762 | − | 7.38762i | −0.714188 | − | 0.714188i | 0.253221 | − | 0.967409i | \(-0.418510\pi\) |
−0.967409 | + | 0.253221i | \(0.918510\pi\) | |||||||
\(108\) | −4.02646 | + | 0.949703i | −0.387446 | + | 0.0913852i | ||||
\(109\) | 1.01282i | 0.0970107i | 0.998823 | + | 0.0485053i | \(0.0154458\pi\) | ||||
−0.998823 | + | 0.0485053i | \(0.984554\pi\) | |||||||
\(110\) | 6.60175 | + | 0.0481445i | 0.629452 | + | 0.00459040i | ||||
\(111\) | 10.0273i | 0.951749i | ||||||||
\(112\) | −0.168772 | + | 0.505668i | −0.0159474 | + | 0.0477811i | ||||
\(113\) | 9.77168 | + | 9.77168i | 0.919243 | + | 0.919243i | 0.996974 | − | 0.0777317i | \(-0.0247677\pi\) |
−0.0777317 | + | 0.996974i | \(0.524768\pi\) | |||||||
\(114\) | −9.42395 | − | 2.67812i | −0.882634 | − | 0.250829i | ||||
\(115\) | 13.5537 | − | 3.74513i | 1.26389 | − | 0.349235i | ||||
\(116\) | 0.102726 | + | 0.0635157i | 0.00953791 | + | 0.00589728i | ||||
\(117\) | −1.47254 | + | 1.47254i | −0.136137 | + | 0.136137i | ||||
\(118\) | 3.73910 | + | 6.70798i | 0.344212 | + | 0.617520i | ||||
\(119\) | 0.605409 | 0.0554977 | ||||||||
\(120\) | −13.9010 | + | 3.17194i | −1.26898 | + | 0.289557i | ||||
\(121\) | 6.64146 | 0.603769 | ||||||||
\(122\) | 8.31436 | + | 14.9160i | 0.752747 | + | 1.35043i | ||||
\(123\) | −14.0126 | + | 14.0126i | −1.26347 | + | 1.26347i | ||||
\(124\) | 6.72467 | + | 4.15786i | 0.603894 | + | 0.373387i | ||||
\(125\) | 0.261300 | + | 11.1773i | 0.0233714 | + | 0.999727i | ||||
\(126\) | −0.377548 | − | 0.107293i | −0.0336347 | − | 0.00955839i | ||||
\(127\) | 3.24550 | + | 3.24550i | 0.287992 | + | 0.287992i | 0.836286 | − | 0.548294i | \(-0.184723\pi\) |
−0.548294 | + | 0.836286i | \(0.684723\pi\) | |||||||
\(128\) | 4.59274 | + | 10.3396i | 0.405945 | + | 0.913898i | ||||
\(129\) | 19.9702i | 1.75828i | ||||||||
\(130\) | 2.25232 | − | 2.21970i | 0.197541 | − | 0.194681i | ||||
\(131\) | 6.82654i | 0.596438i | 0.954498 | + | 0.298219i | \(0.0963925\pi\) | ||||
−0.954498 | + | 0.298219i | \(0.903607\pi\) | |||||||
\(132\) | 9.16183 | − | 2.16096i | 0.797435 | − | 0.188087i | ||||
\(133\) | 0.289580 | + | 0.289580i | 0.0251098 | + | 0.0251098i | ||||
\(134\) | 3.01416 | − | 10.6064i | 0.260383 | − | 0.916254i | ||||
\(135\) | 1.23187 | + | 4.45818i | 0.106023 | + | 0.383699i | ||||
\(136\) | 9.48698 | − | 8.66502i | 0.813502 | − | 0.743019i | ||||
\(137\) | −15.3560 | + | 15.3560i | −1.31195 | + | 1.31195i | −0.391978 | + | 0.919975i | \(0.628209\pi\) |
−0.919975 | + | 0.391978i | \(0.871791\pi\) | |||||||
\(138\) | 17.5126 | − | 9.76171i | 1.49077 | − | 0.830972i | ||||
\(139\) | 13.8537 | 1.17505 | 0.587527 | − | 0.809204i | \(-0.300102\pi\) | ||||
0.587527 | + | 0.809204i | \(0.300102\pi\) | |||||||
\(140\) | 0.572107 | + | 0.167101i | 0.0483519 | + | 0.0141227i | ||||
\(141\) | −17.7886 | −1.49807 | ||||||||
\(142\) | −2.25690 | + | 1.25802i | −0.189395 | + | 0.105571i | ||||
\(143\) | −1.47623 | + | 1.47623i | −0.123449 | + | 0.123449i | ||||
\(144\) | −7.45197 | + | 3.72241i | −0.620997 | + | 0.310201i | ||||
\(145\) | 0.0666029 | − | 0.117464i | 0.00553107 | − | 0.00975484i | ||||
\(146\) | −5.75960 | + | 20.2672i | −0.476668 | + | 1.67733i | ||||
\(147\) | −11.1306 | − | 11.1306i | −0.918035 | − | 0.918035i | ||||
\(148\) | −2.04213 | − | 8.65803i | −0.167862 | − | 0.711686i | ||||
\(149\) | 0.756913i | 0.0620087i | 0.999519 | + | 0.0310044i | \(0.00987057\pi\) | ||||
−0.999519 | + | 0.0310044i | \(0.990129\pi\) | |||||||
\(150\) | 4.13358 | + | 15.3960i | 0.337506 | + | 1.25708i | ||||
\(151\) | − | 0.572673i | − | 0.0466035i | −0.999728 | − | 0.0233017i | \(-0.992582\pi\) | ||
0.999728 | − | 0.0233017i | \(-0.00741784\pi\) | |||||||
\(152\) | 8.68250 | + | 0.393162i | 0.704244 | + | 0.0318897i | ||||
\(153\) | 6.68924 | + | 6.68924i | 0.540793 | + | 0.540793i | ||||
\(154\) | −0.378495 | − | 0.107562i | −0.0305000 | − | 0.00866757i | ||||
\(155\) | 4.35996 | − | 7.68941i | 0.350200 | − | 0.617628i | ||||
\(156\) | 2.37119 | − | 3.83502i | 0.189847 | − | 0.307048i | ||||
\(157\) | 5.93253 | − | 5.93253i | 0.473467 | − | 0.473467i | −0.429567 | − | 0.903035i | \(-0.641334\pi\) |
0.903035 | + | 0.429567i | \(0.141334\pi\) | |||||||
\(158\) | 5.18778 | + | 9.30693i | 0.412718 | + | 0.740419i | ||||
\(159\) | −12.3247 | −0.977409 | ||||||||
\(160\) | 11.3568 | − | 5.56984i | 0.897834 | − | 0.440335i | ||||
\(161\) | −0.838088 | −0.0660506 | ||||||||
\(162\) | 7.51260 | + | 13.4777i | 0.590246 | + | 1.05891i | ||||
\(163\) | 7.64242 | − | 7.64242i | 0.598601 | − | 0.598601i | −0.341339 | − | 0.939940i | \(-0.610881\pi\) |
0.939940 | + | 0.341339i | \(0.110881\pi\) | |||||||
\(164\) | 9.24537 | − | 14.9529i | 0.721942 | − | 1.16763i | ||||
\(165\) | −2.80301 | − | 10.1442i | −0.218214 | − | 0.789723i | ||||
\(166\) | −20.7411 | − | 5.89425i | −1.60982 | − | 0.457483i | ||||
\(167\) | 12.9350 | + | 12.9350i | 1.00094 | + | 1.00094i | 1.00000 | 0.000941800i | \(0.000299784\pi\) | |
0.000941800 | 1.00000i | \(0.499700\pi\) | ||||||||
\(168\) | 0.848942 | + | 0.0384419i | 0.0654973 | + | 0.00296586i | ||||
\(169\) | 1.00000i | 0.0769231i | ||||||||
\(170\) | −10.0833 | − | 10.2315i | −0.773356 | − | 0.784719i | ||||
\(171\) | 6.39922i | 0.489361i | ||||||||
\(172\) | −4.06708 | − | 17.2432i | −0.310112 | − | 1.31478i | ||||
\(173\) | −14.9245 | − | 14.9245i | −1.13469 | − | 1.13469i | −0.989387 | − | 0.145303i | \(-0.953584\pi\) |
−0.145303 | − | 0.989387i | \(-0.546416\pi\) | |||||||
\(174\) | 0.0526306 | − | 0.185200i | 0.00398992 | − | 0.0140400i | ||||
\(175\) | 0.162417 | − | 0.646264i | 0.0122775 | − | 0.0488530i | ||||
\(176\) | −7.47065 | + | 3.73174i | −0.563122 | + | 0.281291i | ||||
\(177\) | 8.65671 | − | 8.65671i | 0.650678 | − | 0.650678i | ||||
\(178\) | −2.94368 | + | 1.64084i | −0.220638 | + | 0.122986i | ||||
\(179\) | −19.4084 | −1.45065 | −0.725324 | − | 0.688408i | \(-0.758310\pi\) | ||||
−0.725324 | + | 0.688408i | \(0.758310\pi\) | |||||||
\(180\) | 4.47496 | + | 8.16761i | 0.333544 | + | 0.608778i | ||||
\(181\) | 2.31305 | 0.171927 | 0.0859637 | − | 0.996298i | \(-0.472603\pi\) | ||||
0.0859637 | + | 0.996298i | \(0.472603\pi\) | |||||||
\(182\) | −0.164627 | + | 0.0917650i | −0.0122030 | + | 0.00680207i | ||||
\(183\) | 19.2493 | − | 19.2493i | 1.42295 | − | 1.42295i | ||||
\(184\) | −13.1332 | + | 11.9953i | −0.968189 | + | 0.884304i | ||||
\(185\) | −9.58636 | + | 2.64888i | −0.704803 | + | 0.194749i | ||||
\(186\) | 3.44531 | − | 12.1236i | 0.252622 | − | 0.888942i | ||||
\(187\) | 6.70602 | + | 6.70602i | 0.490393 | + | 0.490393i | ||||
\(188\) | 15.3595 | − | 3.62277i | 1.12021 | − | 0.264218i | ||||
\(189\) | − | 0.275670i | − | 0.0200520i | ||||||
\(190\) | 0.0708632 | − | 9.71702i | 0.00514096 | − | 0.704946i | ||||
\(191\) | − | 11.2217i | − | 0.811974i | −0.913879 | − | 0.405987i | \(-0.866928\pi\) | ||
0.913879 | − | 0.405987i | \(-0.133072\pi\) | |||||||
\(192\) | 13.8534 | − | 11.5482i | 0.999786 | − | 0.833421i | ||||
\(193\) | 3.78263 | + | 3.78263i | 0.272280 | + | 0.272280i | 0.830017 | − | 0.557738i | \(-0.188330\pi\) |
−0.557738 | + | 0.830017i | \(0.688330\pi\) | |||||||
\(194\) | 17.1057 | + | 4.86115i | 1.22812 | + | 0.349010i | ||||
\(195\) | −4.38520 | − | 2.48645i | −0.314031 | − | 0.178058i | ||||
\(196\) | 11.8775 | + | 7.34384i | 0.848392 | + | 0.524560i | ||||
\(197\) | 10.5230 | − | 10.5230i | 0.749733 | − | 0.749733i | −0.224696 | − | 0.974429i | \(-0.572139\pi\) |
0.974429 | + | 0.224696i | \(0.0721388\pi\) | |||||||
\(198\) | −2.99358 | − | 5.37051i | −0.212744 | − | 0.381665i | ||||
\(199\) | 26.8755 | 1.90515 | 0.952576 | − | 0.304301i | \(-0.0984229\pi\) | ||||
0.952576 | + | 0.304301i | \(0.0984229\pi\) | |||||||
\(200\) | −6.70464 | − | 12.4518i | −0.474090 | − | 0.880477i | ||||
\(201\) | −17.5774 | −1.23982 | ||||||||
\(202\) | 5.85366 | + | 10.5015i | 0.411862 | + | 0.738885i | ||||
\(203\) | −0.00569084 | + | 0.00569084i | −0.000399419 | + | 0.000399419i | ||||
\(204\) | −17.4212 | − | 10.7715i | −1.21973 | − | 0.754156i | ||||
\(205\) | −17.0981 | − | 9.69475i | −1.19418 | − | 0.677111i | ||||
\(206\) | −16.5685 | − | 4.70849i | −1.15438 | − | 0.328056i | ||||
\(207\) | −9.26015 | − | 9.26015i | −0.643625 | − | 0.643625i | ||||
\(208\) | −1.26637 | + | 3.79425i | −0.0878068 | + | 0.263084i | ||||
\(209\) | 6.41527i | 0.443753i | ||||||||
\(210\) | 0.00692874 | − | 0.950093i | 0.000478128 | − | 0.0655626i | ||||
\(211\) | 15.1096i | 1.04019i | 0.854108 | + | 0.520095i | \(0.174103\pi\) | ||||
−0.854108 | + | 0.520095i | \(0.825897\pi\) | |||||||
\(212\) | 10.6417 | − | 2.51000i | 0.730874 | − | 0.172388i | ||||
\(213\) | 2.91255 | + | 2.91255i | 0.199565 | + | 0.199565i | ||||
\(214\) | 4.03894 | − | 14.2125i | 0.276096 | − | 0.971545i | ||||
\(215\) | −19.0920 | + | 5.27547i | −1.30207 | + | 0.359784i | ||||
\(216\) | −3.94557 | − | 4.31985i | −0.268462 | − | 0.293929i | ||||
\(217\) | −0.372534 | + | 0.372534i | −0.0252893 | + | 0.0252893i | ||||
\(218\) | −1.25111 | + | 0.697381i | −0.0847358 | + | 0.0472326i | ||||
\(219\) | 33.5879 | 2.26966 | ||||||||
\(220\) | 4.48618 | + | 8.18810i | 0.302458 | + | 0.552041i | ||||
\(221\) | 4.54265 | 0.305572 | ||||||||
\(222\) | −12.3864 | + | 6.90433i | −0.831322 | + | 0.463388i | ||||
\(223\) | −14.4646 | + | 14.4646i | −0.968622 | + | 0.968622i | −0.999522 | − | 0.0309000i | \(-0.990163\pi\) |
0.0309000 | + | 0.999522i | \(0.490163\pi\) | |||||||
\(224\) | −0.740845 | + | 0.139700i | −0.0494998 | + | 0.00933413i | ||||
\(225\) | 8.93522 | − | 5.34610i | 0.595681 | − | 0.356406i | ||||
\(226\) | −5.34235 | + | 18.7990i | −0.355368 | + | 1.25049i | ||||
\(227\) | −13.3452 | − | 13.3452i | −0.885752 | − | 0.885752i | 0.108360 | − | 0.994112i | \(-0.465440\pi\) |
−0.994112 | + | 0.108360i | \(0.965440\pi\) | |||||||
\(228\) | −3.18068 | − | 13.4852i | −0.210646 | − | 0.893077i | ||||
\(229\) | − | 10.2433i | − | 0.676897i | −0.940985 | − | 0.338448i | \(-0.890098\pi\) | ||
0.940985 | − | 0.338448i | \(-0.109902\pi\) | |||||||
\(230\) | 13.9587 | + | 14.1638i | 0.920409 | + | 0.933932i | ||||
\(231\) | 0.627261i | 0.0412707i | ||||||||
\(232\) | −0.00772644 | + | 0.170629i | −0.000507266 | + | 0.0112023i | ||||
\(233\) | 5.58926 | + | 5.58926i | 0.366165 | + | 0.366165i | 0.866076 | − | 0.499912i | \(-0.166634\pi\) |
−0.499912 | + | 0.866076i | \(0.666634\pi\) | |||||||
\(234\) | −2.83291 | − | 0.805064i | −0.185193 | − | 0.0526287i | ||||
\(235\) | −4.69915 | − | 17.0063i | −0.306539 | − | 1.10937i | ||||
\(236\) | −5.71160 | + | 9.23761i | −0.371794 | + | 0.601317i | ||||
\(237\) | 12.0107 | − | 12.0107i | 0.780177 | − | 0.780177i | ||||
\(238\) | 0.416856 | + | 0.747844i | 0.0270208 | + | 0.0484755i | ||||
\(239\) | −16.4914 | −1.06674 | −0.533369 | − | 0.845883i | \(-0.679074\pi\) | ||||
−0.533369 | + | 0.845883i | \(0.679074\pi\) | |||||||
\(240\) | −13.4898 | − | 14.9875i | −0.870763 | − | 0.967438i | ||||
\(241\) | 15.4546 | 0.995520 | 0.497760 | − | 0.867315i | \(-0.334156\pi\) | ||||
0.497760 | + | 0.867315i | \(0.334156\pi\) | |||||||
\(242\) | 4.57300 | + | 8.20401i | 0.293964 | + | 0.527373i | ||||
\(243\) | 13.0052 | − | 13.0052i | 0.834282 | − | 0.834282i | ||||
\(244\) | −12.7005 | + | 20.5410i | −0.813064 | + | 1.31500i | ||||
\(245\) | 7.70080 | − | 13.5815i | 0.491986 | − | 0.867687i | ||||
\(246\) | −26.9578 | − | 7.66094i | −1.71877 | − | 0.488443i | ||||
\(247\) | 2.17285 | + | 2.17285i | 0.138255 | + | 0.138255i | ||||
\(248\) | −0.505788 | + | 11.1697i | −0.0321176 | + | 0.709277i | ||||
\(249\) | 34.3731i | 2.17831i | ||||||||
\(250\) | −13.6271 | + | 8.01893i | −0.861851 | + | 0.507162i | ||||
\(251\) | 4.89967i | 0.309264i | 0.987972 | + | 0.154632i | \(0.0494193\pi\) | ||||
−0.987972 | + | 0.154632i | \(0.950581\pi\) | |||||||
\(252\) | −0.127427 | − | 0.540251i | −0.00802712 | − | 0.0340326i | ||||
\(253\) | −9.28337 | − | 9.28337i | −0.583640 | − | 0.583640i | ||||
\(254\) | −1.77437 | + | 6.24377i | −0.111334 | + | 0.391769i | ||||
\(255\) | −11.2951 | + | 19.9205i | −0.707324 | + | 1.24747i | ||||
\(256\) | −9.60982 | + | 12.7926i | −0.600614 | + | 0.799539i | ||||
\(257\) | 4.80358 | − | 4.80358i | 0.299639 | − | 0.299639i | −0.541233 | − | 0.840872i | \(-0.682042\pi\) |
0.840872 | + | 0.541233i | \(0.182042\pi\) | |||||||
\(258\) | −24.6686 | + | 13.7506i | −1.53580 | + | 0.856072i | ||||
\(259\) | 0.592768 | 0.0368328 | ||||||||
\(260\) | 4.29277 | + | 1.25384i | 0.266226 | + | 0.0777596i | ||||
\(261\) | −0.125758 | −0.00778421 | ||||||||
\(262\) | −8.43263 | + | 4.70044i | −0.520969 | + | 0.290394i | ||||
\(263\) | 2.65042 | − | 2.65042i | 0.163432 | − | 0.163432i | −0.620653 | − | 0.784085i | \(-0.713133\pi\) |
0.784085 | + | 0.620653i | \(0.213133\pi\) | |||||||
\(264\) | 8.97778 | + | 9.82941i | 0.552544 | + | 0.604958i | ||||
\(265\) | −3.25576 | − | 11.7827i | −0.200000 | − | 0.723805i | ||||
\(266\) | −0.158319 | + | 0.557101i | −0.00970714 | + | 0.0341581i | ||||
\(267\) | 3.79885 | + | 3.79885i | 0.232486 | + | 0.232486i | ||||
\(268\) | 15.1772 | − | 3.57977i | 0.927094 | − | 0.218669i | ||||
\(269\) | − | 22.6452i | − | 1.38070i | −0.723475 | − | 0.690351i | \(-0.757456\pi\) | ||
0.723475 | − | 0.690351i | \(-0.242544\pi\) | |||||||
\(270\) | −4.65885 | + | 4.59139i | −0.283529 | + | 0.279423i | ||||
\(271\) | − | 26.9231i | − | 1.63546i | −0.575602 | − | 0.817730i | \(-0.695232\pi\) | ||
0.575602 | − | 0.817730i | \(-0.304768\pi\) | |||||||
\(272\) | 17.2359 | + | 5.75267i | 1.04508 | + | 0.348807i | ||||
\(273\) | 0.212453 | + | 0.212453i | 0.0128582 | + | 0.0128582i | ||||
\(274\) | −29.5423 | − | 8.39540i | −1.78471 | − | 0.507185i | ||||
\(275\) | 8.95763 | − | 5.35950i | 0.540165 | − | 0.323190i | ||||
\(276\) | 24.1167 | + | 14.9113i | 1.45166 | + | 0.897558i | ||||
\(277\) | −5.20649 | + | 5.20649i | −0.312828 | + | 0.312828i | −0.846004 | − | 0.533176i | \(-0.820998\pi\) |
0.533176 | + | 0.846004i | \(0.320998\pi\) | |||||||
\(278\) | 9.53900 | + | 17.1131i | 0.572111 | + | 1.02637i | ||||
\(279\) | −8.23235 | −0.492858 | ||||||||
\(280\) | 0.187511 | + | 0.821766i | 0.0112059 | + | 0.0491099i | ||||
\(281\) | −9.45951 | −0.564307 | −0.282154 | − | 0.959369i | \(-0.591049\pi\) | ||||
−0.282154 | + | 0.959369i | \(0.591049\pi\) | |||||||
\(282\) | −12.2484 | − | 21.9737i | −0.729380 | − | 1.30852i | ||||
\(283\) | −3.21144 | + | 3.21144i | −0.190900 | + | 0.190900i | −0.796085 | − | 0.605185i | \(-0.793099\pi\) |
0.605185 | + | 0.796085i | \(0.293099\pi\) | |||||||
\(284\) | −3.10800 | − | 1.92167i | −0.184426 | − | 0.114030i | ||||
\(285\) | −14.9311 | + | 4.12571i | −0.884440 | + | 0.244386i | ||||
\(286\) | −2.84002 | − | 0.807084i | −0.167934 | − | 0.0477238i | ||||
\(287\) | 0.828362 | + | 0.828362i | 0.0488966 | + | 0.0488966i | ||||
\(288\) | −9.72926 | − | 6.64212i | −0.573302 | − | 0.391391i | ||||
\(289\) | − | 3.63568i | − | 0.213863i | ||||||
\(290\) | 0.190959 | + | 0.00139261i | 0.0112135 | + | 8.17767e-5i | ||||
\(291\) | − | 28.3485i | − | 1.66182i | ||||||
\(292\) | −29.0013 | + | 6.84041i | −1.69717 | + | 0.400305i | ||||
\(293\) | 8.77038 | + | 8.77038i | 0.512371 | + | 0.512371i | 0.915252 | − | 0.402881i | \(-0.131991\pi\) |
−0.402881 | + | 0.915252i | \(0.631991\pi\) | |||||||
\(294\) | 6.08529 | − | 21.4133i | 0.354901 | − | 1.24885i | ||||
\(295\) | 10.5629 | + | 5.98923i | 0.614993 | + | 0.348706i | ||||
\(296\) | 9.28890 | − | 8.48410i | 0.539906 | − | 0.493128i | ||||
\(297\) | 3.05355 | − | 3.05355i | 0.177185 | − | 0.177185i | ||||
\(298\) | −0.934992 | + | 0.521175i | −0.0541627 | + | 0.0301908i | ||||
\(299\) | −6.28855 | −0.363676 | ||||||||
\(300\) | −16.1721 | + | 15.7071i | −0.933696 | + | 0.906849i | ||||
\(301\) | 1.18055 | 0.0680457 | ||||||||
\(302\) | 0.707406 | − | 0.394316i | 0.0407066 | − | 0.0226903i | ||||
\(303\) | 13.5523 | − | 13.5523i | 0.778560 | − | 0.778560i | ||||
\(304\) | 5.49270 | + | 10.9960i | 0.315028 | + | 0.630661i | ||||
\(305\) | 23.4878 | + | 13.3178i | 1.34491 | + | 0.762575i | ||||
\(306\) | −3.65713 | + | 12.8689i | −0.209064 | + | 0.735668i | ||||
\(307\) | −14.7552 | − | 14.7552i | −0.842126 | − | 0.842126i | 0.147009 | − | 0.989135i | \(-0.453035\pi\) |
−0.989135 | + | 0.147009i | \(0.953035\pi\) | |||||||
\(308\) | −0.127746 | − | 0.541606i | −0.00727901 | − | 0.0308609i | ||||
\(309\) | 27.4582i | 1.56204i | ||||||||
\(310\) | 12.5006 | + | 0.0911629i | 0.709985 | + | 0.00517770i | ||||
\(311\) | 12.7852i | 0.724982i | 0.931987 | + | 0.362491i | \(0.118074\pi\) | ||||
−0.931987 | + | 0.362491i | \(0.881926\pi\) | |||||||
\(312\) | 6.36998 | + | 0.288447i | 0.360629 | + | 0.0163301i | ||||
\(313\) | −22.1230 | − | 22.1230i | −1.25047 | − | 1.25047i | −0.955511 | − | 0.294954i | \(-0.904696\pi\) |
−0.294954 | − | 0.955511i | \(-0.595304\pi\) | |||||||
\(314\) | 11.4131 | + | 3.24342i | 0.644081 | + | 0.183037i | ||||
\(315\) | −0.598177 | + | 0.165287i | −0.0337035 | + | 0.00931286i | ||||
\(316\) | −7.92451 | + | 12.8166i | −0.445789 | + | 0.720992i | ||||
\(317\) | −3.78179 | + | 3.78179i | −0.212407 | + | 0.212407i | −0.805289 | − | 0.592882i | \(-0.797990\pi\) |
0.592882 | + | 0.805289i | \(0.297990\pi\) | |||||||
\(318\) | −8.48618 | − | 15.2243i | −0.475882 | − | 0.853736i | ||||
\(319\) | −0.126073 | −0.00705874 | ||||||||
\(320\) | 14.7000 | + | 10.1936i | 0.821756 | + | 0.569839i | ||||
\(321\) | −23.5536 | −1.31463 | ||||||||
\(322\) | −0.577068 | − | 1.03527i | −0.0321588 | − | 0.0576931i | ||||
\(323\) | 9.87049 | − | 9.87049i | 0.549209 | − | 0.549209i | ||||
\(324\) | −11.4758 | + | 18.5602i | −0.637542 | + | 1.03112i | ||||
\(325\) | 1.21868 | − | 4.84921i | 0.0676004 | − | 0.268986i | ||||
\(326\) | 14.7027 | + | 4.17825i | 0.814306 | + | 0.231412i | ||||
\(327\) | 1.61457 | + | 1.61457i | 0.0892857 | + | 0.0892857i | ||||
\(328\) | 24.8368 | + | 1.12466i | 1.37138 | + | 0.0620992i | ||||
\(329\) | 1.05158i | 0.0579755i | ||||||||
\(330\) | 10.6008 | − | 10.4473i | 0.583554 | − | 0.575104i | ||||
\(331\) | − | 14.0262i | − | 0.770949i | −0.922718 | − | 0.385474i | \(-0.874038\pi\) | ||
0.922718 | − | 0.385474i | \(-0.125962\pi\) | |||||||
\(332\) | −7.00033 | − | 29.6793i | −0.384193 | − | 1.62886i | ||||
\(333\) | 6.54957 | + | 6.54957i | 0.358914 | + | 0.358914i | ||||
\(334\) | −7.07180 | + | 24.8847i | −0.386952 | + | 1.36163i | ||||
\(335\) | −4.64338 | − | 16.8045i | −0.253695 | − | 0.918128i | ||||
\(336\) | 0.537055 | + | 1.07514i | 0.0292988 | + | 0.0586538i | ||||
\(337\) | −18.0690 | + | 18.0690i | −0.984283 | + | 0.984283i | −0.999878 | − | 0.0155953i | \(-0.995036\pi\) |
0.0155953 | + | 0.999878i | \(0.495036\pi\) | |||||||
\(338\) | −1.23527 | + | 0.688553i | −0.0671899 | + | 0.0374524i | ||||
\(339\) | 31.1546 | 1.69209 | ||||||||
\(340\) | 5.69574 | − | 19.5006i | 0.308895 | − | 1.05757i | ||||
\(341\) | −8.25300 | −0.446925 | ||||||||
\(342\) | −7.90477 | + | 4.40620i | −0.427441 | + | 0.238260i | ||||
\(343\) | −1.31765 | + | 1.31765i | −0.0711466 | + | 0.0711466i | ||||
\(344\) | 18.4996 | − | 16.8968i | 0.997434 | − | 0.911015i | ||||
\(345\) | 15.6361 | − | 27.5766i | 0.841821 | − | 1.48467i | ||||
\(346\) | 8.15950 | − | 28.7122i | 0.438657 | − | 1.54358i | ||||
\(347\) | −8.63601 | − | 8.63601i | −0.463605 | − | 0.463605i | 0.436230 | − | 0.899835i | \(-0.356313\pi\) |
−0.899835 | + | 0.436230i | \(0.856313\pi\) | |||||||
\(348\) | 0.265011 | − | 0.0625069i | 0.0142061 | − | 0.00335072i | ||||
\(349\) | − | 13.6417i | − | 0.730224i | −0.930964 | − | 0.365112i | \(-0.881031\pi\) | ||
0.930964 | − | 0.365112i | \(-0.118969\pi\) | |||||||
\(350\) | 0.910144 | − | 0.244359i | 0.0486492 | − | 0.0130615i | ||||
\(351\) | − | 2.06847i | − | 0.110407i | ||||||
\(352\) | −9.75366 | − | 6.65878i | −0.519872 | − | 0.354914i | ||||
\(353\) | −5.16802 | − | 5.16802i | −0.275066 | − | 0.275066i | 0.556070 | − | 0.831136i | \(-0.312309\pi\) |
−0.831136 | + | 0.556070i | \(0.812309\pi\) | |||||||
\(354\) | 16.6540 | + | 4.73278i | 0.885149 | + | 0.251544i | ||||
\(355\) | −2.01508 | + | 3.55388i | −0.106949 | + | 0.188620i | ||||
\(356\) | −4.05377 | − | 2.50644i | −0.214849 | − | 0.132841i | ||||
\(357\) | 0.965099 | − | 0.965099i | 0.0510785 | − | 0.0510785i | ||||
\(358\) | −13.3637 | − | 23.9746i | −0.706293 | − | 1.26710i | ||||
\(359\) | −19.8311 | −1.04665 | −0.523323 | − | 0.852135i | \(-0.675308\pi\) | ||||
−0.523323 | + | 0.852135i | \(0.675308\pi\) | |||||||
\(360\) | −7.00796 | + | 11.1516i | −0.369352 | + | 0.587742i | ||||
\(361\) | −9.55746 | −0.503024 | ||||||||
\(362\) | 1.59266 | + | 2.85724i | 0.0837081 | + | 0.150173i | ||||
\(363\) | 10.5873 | − | 10.5873i | 0.555691 | − | 0.555691i | ||||
\(364\) | −0.226709 | − | 0.140174i | −0.0118828 | − | 0.00734712i | ||||
\(365\) | 8.87280 | + | 32.1109i | 0.464423 | + | 1.68076i | ||||
\(366\) | 37.0322 | + | 10.5239i | 1.93571 | + | 0.550094i | ||||
\(367\) | 16.2512 | + | 16.2512i | 0.848307 | + | 0.848307i | 0.989922 | − | 0.141615i | \(-0.0452296\pi\) |
−0.141615 | + | 0.989922i | \(0.545230\pi\) | |||||||
\(368\) | −23.8603 | − | 7.96361i | −1.24380 | − | 0.415132i | ||||
\(369\) | 18.3054i | 0.952939i | ||||||||
\(370\) | −9.87280 | − | 10.0179i | −0.513262 | − | 0.520803i | ||||
\(371\) | 0.728578i | 0.0378259i | ||||||||
\(372\) | 17.3482 | − | 4.09183i | 0.899460 | − | 0.212151i | ||||
\(373\) | −1.04006 | − | 1.04006i | −0.0538523 | − | 0.0538523i | 0.679668 | − | 0.733520i | \(-0.262124\pi\) |
−0.733520 | + | 0.679668i | \(0.762124\pi\) | |||||||
\(374\) | −3.66630 | + | 12.9012i | −0.189580 | + | 0.667105i | ||||
\(375\) | 18.2346 | + | 17.4015i | 0.941629 | + | 0.898608i | ||||
\(376\) | 15.0509 | + | 16.4787i | 0.776192 | + | 0.849822i | ||||
\(377\) | −0.0427009 | + | 0.0427009i | −0.00219921 | + | 0.00219921i | ||||
\(378\) | 0.340527 | − | 0.189813i | 0.0175148 | − | 0.00976295i | ||||
\(379\) | −2.91119 | −0.149538 | −0.0747690 | − | 0.997201i | \(-0.523822\pi\) | ||||
−0.0747690 | + | 0.997201i | \(0.523822\pi\) | |||||||
\(380\) | 12.0519 | − | 6.60315i | 0.618252 | − | 0.338734i | ||||
\(381\) | 10.3475 | 0.530118 | ||||||||
\(382\) | 13.8618 | − | 7.72674i | 0.709233 | − | 0.395334i | ||||
\(383\) | −1.22555 | + | 1.22555i | −0.0626229 | + | 0.0626229i | −0.737725 | − | 0.675102i | \(-0.764100\pi\) |
0.675102 | + | 0.737725i | \(0.264100\pi\) | |||||||
\(384\) | 23.8040 | + | 9.16118i | 1.21474 | + | 0.467504i | ||||
\(385\) | −0.599678 | + | 0.165701i | −0.0305624 | + | 0.00844492i | ||||
\(386\) | −2.06803 | + | 7.27712i | −0.105260 | + | 0.370395i | ||||
\(387\) | 13.0440 | + | 13.0440i | 0.663066 | + | 0.663066i | ||||
\(388\) | 5.77336 | + | 24.4774i | 0.293098 | + | 1.24265i | ||||
\(389\) | − | 30.1820i | − | 1.53029i | −0.643860 | − | 0.765144i | \(-0.722668\pi\) | ||
0.643860 | − | 0.765144i | \(-0.277332\pi\) | |||||||
\(390\) | 0.0519894 | − | 7.12897i | 0.00263258 | − | 0.360989i | ||||
\(391\) | 28.5667i | 1.44468i | ||||||||
\(392\) | −0.893351 | + | 19.7285i | −0.0451210 | + | 0.996442i | ||||
\(393\) | 10.8824 | + | 10.8824i | 0.548943 | + | 0.548943i | ||||
\(394\) | 20.2444 | + | 5.75312i | 1.01990 | + | 0.289838i | ||||
\(395\) | 14.6553 | + | 8.30970i | 0.737390 | + | 0.418106i | ||||
\(396\) | 4.57279 | − | 7.39576i | 0.229791 | − | 0.371651i | ||||
\(397\) | −25.8661 | + | 25.8661i | −1.29818 | + | 1.29818i | −0.368588 | + | 0.929593i | \(0.620159\pi\) |
−0.929593 | + | 0.368588i | \(0.879841\pi\) | |||||||
\(398\) | 18.5052 | + | 33.1985i | 0.927582 | + | 1.66409i | ||||
\(399\) | 0.923256 | 0.0462206 | ||||||||
\(400\) | 10.7649 | − | 16.8558i | 0.538243 | − | 0.842789i | ||||
\(401\) | −4.32311 | −0.215886 | −0.107943 | − | 0.994157i | \(-0.534426\pi\) | ||||
−0.107943 | + | 0.994157i | \(0.534426\pi\) | |||||||
\(402\) | −12.1030 | − | 21.7129i | −0.603643 | − | 1.08294i | ||||
\(403\) | −2.79529 | + | 2.79529i | −0.139243 | + | 0.139243i | ||||
\(404\) | −8.94167 | + | 14.4617i | −0.444865 | + | 0.719498i | ||||
\(405\) | 21.2229 | + | 12.0336i | 1.05457 | + | 0.597952i | ||||
\(406\) | −0.0109482 | − | 0.00311129i | −0.000543349 | − | 0.000154410i | ||||
\(407\) | 6.56600 | + | 6.56600i | 0.325465 | + | 0.325465i | ||||
\(408\) | 1.31031 | − | 28.9366i | 0.0648701 | − | 1.43258i | ||||
\(409\) | 15.2460i | 0.753868i | 0.926240 | + | 0.376934i | \(0.123022\pi\) | ||||
−0.926240 | + | 0.376934i | \(0.876978\pi\) | |||||||
\(410\) | 0.202709 | − | 27.7961i | 0.0100111 | − | 1.37275i | ||||
\(411\) | 48.9589i | 2.41496i | ||||||||
\(412\) | −5.59205 | − | 23.7087i | −0.275501 | − | 1.16804i | ||||
\(413\) | −0.511746 | − | 0.511746i | −0.0251814 | − | 0.0251814i | ||||
\(414\) | 5.06268 | − | 17.8149i | 0.248817 | − | 0.875554i | ||||
\(415\) | −32.8616 | + | 9.08023i | −1.61311 | + | 0.445731i | ||||
\(416\) | −5.55889 | + | 1.04823i | −0.272547 | + | 0.0513939i | ||||
\(417\) | 22.0845 | − | 22.0845i | 1.08148 | − | 1.08148i | ||||
\(418\) | −7.92460 | + | 4.41725i | −0.387605 | + | 0.216055i | ||||
\(419\) | −12.3653 | −0.604086 | −0.302043 | − | 0.953294i | \(-0.597669\pi\) | ||||
−0.302043 | + | 0.953294i | \(0.597669\pi\) | |||||||
\(420\) | 1.17839 | − | 0.645631i | 0.0574997 | − | 0.0315036i | ||||
\(421\) | 4.28664 | 0.208918 | 0.104459 | − | 0.994529i | \(-0.466689\pi\) | ||||
0.104459 | + | 0.994529i | \(0.466689\pi\) | |||||||
\(422\) | −18.6645 | + | 10.4038i | −0.908573 | + | 0.506448i | ||||
\(423\) | −11.6190 | + | 11.6190i | −0.564937 | + | 0.564937i | ||||
\(424\) | 10.4279 | + | 11.4171i | 0.506424 | + | 0.554463i | ||||
\(425\) | −22.0283 | − | 5.53606i | −1.06853 | − | 0.268538i | ||||
\(426\) | −1.59234 | + | 5.60324i | −0.0771493 | + | 0.271478i | ||||
\(427\) | −1.13793 | − | 1.13793i | −0.0550683 | − | 0.0550683i | ||||
\(428\) | 20.3373 | − | 4.79686i | 0.983040 | − | 0.231865i | ||||
\(429\) | 4.70661i | 0.227237i | ||||||||
\(430\) | −19.6625 | − | 19.9514i | −0.948211 | − | 0.962143i | ||||
\(431\) | 2.48796i | 0.119841i | 0.998203 | + | 0.0599203i | \(0.0190847\pi\) | ||||
−0.998203 | + | 0.0599203i | \(0.980915\pi\) | |||||||
\(432\) | 2.61945 | − | 7.84830i | 0.126028 | − | 0.377601i | ||||
\(433\) | 24.3736 | + | 24.3736i | 1.17132 | + | 1.17132i | 0.981896 | + | 0.189423i | \(0.0606617\pi\) |
0.189423 | + | 0.981896i | \(0.439338\pi\) | |||||||
\(434\) | −0.716690 | − | 0.203671i | −0.0344022 | − | 0.00977652i | ||||
\(435\) | −0.0810787 | − | 0.293426i | −0.00388743 | − | 0.0140687i | ||||
\(436\) | −1.72291 | − | 1.06527i | −0.0825124 | − | 0.0510174i | ||||
\(437\) | −13.6641 | + | 13.6641i | −0.653641 | + | 0.653641i | ||||
\(438\) | 23.1270 | + | 41.4901i | 1.10505 | + | 1.98248i | ||||
\(439\) | 10.8728 | 0.518932 | 0.259466 | − | 0.965752i | \(-0.416453\pi\) | ||||
0.259466 | + | 0.965752i | \(0.416453\pi\) | |||||||
\(440\) | −7.02554 | + | 11.1796i | −0.334930 | + | 0.532966i | ||||
\(441\) | −14.5404 | −0.692401 | ||||||||
\(442\) | 3.12786 | + | 5.61140i | 0.148777 | + | 0.266907i | ||||
\(443\) | 10.5626 | − | 10.5626i | 0.501843 | − | 0.501843i | −0.410167 | − | 0.912010i | \(-0.634530\pi\) |
0.912010 | + | 0.410167i | \(0.134530\pi\) | |||||||
\(444\) | −17.0574 | − | 10.5466i | −0.809510 | − | 0.500519i | ||||
\(445\) | −2.62827 | + | 4.63533i | −0.124592 | + | 0.219736i | ||||
\(446\) | −27.8274 | − | 7.90806i | −1.31766 | − | 0.374458i | ||||
\(447\) | 1.20662 | + | 1.20662i | 0.0570710 | + | 0.0570710i | ||||
\(448\) | −0.682679 | − | 0.818953i | −0.0322536 | − | 0.0386919i | ||||
\(449\) | − | 4.27598i | − | 0.201796i | −0.994897 | − | 0.100898i | \(-0.967828\pi\) | ||
0.994897 | − | 0.100898i | \(-0.0321716\pi\) | |||||||
\(450\) | 12.7563 | + | 7.35635i | 0.601336 | + | 0.346782i | ||||
\(451\) | 18.3513i | 0.864127i | ||||||||
\(452\) | −26.9004 | + | 6.34486i | −1.26529 | + | 0.298437i | ||||
\(453\) | −0.912914 | − | 0.912914i | −0.0428924 | − | 0.0428924i | ||||
\(454\) | 7.29605 | − | 25.6738i | 0.342421 | − | 1.20493i | ||||
\(455\) | −0.146988 | + | 0.259233i | −0.00689088 | + | 0.0121531i | ||||
\(456\) | 14.4678 | − | 13.2143i | 0.677515 | − | 0.618814i | ||||
\(457\) | 21.4651 | − | 21.4651i | 1.00409 | − | 1.00409i | 0.00410307 | − | 0.999992i | \(-0.498694\pi\) |
0.999992 | − | 0.00410307i | \(-0.00130605\pi\) | |||||||
\(458\) | 12.6533 | − | 7.05306i | 0.591248 | − | 0.329568i | ||||
\(459\) | −9.39635 | −0.438584 | ||||||||
\(460\) | −7.88481 | + | 26.9953i | −0.367631 | + | 1.25866i | ||||
\(461\) | −0.993976 | −0.0462941 | −0.0231470 | − | 0.999732i | \(-0.507369\pi\) | ||||
−0.0231470 | + | 0.999732i | \(0.507369\pi\) | |||||||
\(462\) | −0.774837 | + | 0.431902i | −0.0360487 | + | 0.0200939i | ||||
\(463\) | −6.21086 | + | 6.21086i | −0.288643 | + | 0.288643i | −0.836544 | − | 0.547900i | \(-0.815427\pi\) |
0.547900 | + | 0.836544i | \(0.315427\pi\) | |||||||
\(464\) | −0.216093 | + | 0.107943i | −0.0100319 | + | 0.00501112i | ||||
\(465\) | −5.30757 | − | 19.2082i | −0.246133 | − | 0.890761i | ||||
\(466\) | −3.05575 | + | 10.7528i | −0.141555 | + | 0.498112i | ||||
\(467\) | −1.63295 | − | 1.63295i | −0.0755640 | − | 0.0755640i | 0.668315 | − | 0.743879i | \(-0.267016\pi\) |
−0.743879 | + | 0.668315i | \(0.767016\pi\) | |||||||
\(468\) | −0.956138 | − | 4.05374i | −0.0441975 | − | 0.187384i | ||||
\(469\) | 1.03910i | 0.0479812i | ||||||||
\(470\) | 17.7718 | − | 17.5145i | 0.819753 | − | 0.807883i | ||||
\(471\) | − | 18.9144i | − | 0.871530i | ||||||
\(472\) | −15.3437 | − | 0.694795i | −0.706251 | − | 0.0319805i | ||||
\(473\) | 13.0768 | + | 13.0768i | 0.601270 | + | 0.601270i | ||||
\(474\) | 23.1064 | + | 6.56645i | 1.06131 | + | 0.301607i | ||||
\(475\) | −7.88858 | − | 13.1846i | −0.361953 | − | 0.604951i | ||||
\(476\) | −0.636762 | + | 1.02986i | −0.0291859 | + | 0.0472036i | ||||
\(477\) | −8.05015 | + | 8.05015i | −0.368591 | + | 0.368591i | ||||
\(478\) | −11.3552 | − | 20.3713i | −0.519374 | − | 0.931761i | ||||
\(479\) | −17.0521 | −0.779128 | −0.389564 | − | 0.920999i | \(-0.627374\pi\) | ||||
−0.389564 | + | 0.920999i | \(0.627374\pi\) | |||||||
\(480\) | 9.22515 | − | 26.9832i | 0.421069 | − | 1.23161i | ||||
\(481\) | 4.44780 | 0.202802 | ||||||||
\(482\) | 10.6413 | + | 19.0906i | 0.484699 | + | 0.869555i | ||||
\(483\) | −1.33602 | + | 1.33602i | −0.0607910 | + | 0.0607910i | ||||
\(484\) | −6.98542 | + | 11.2978i | −0.317519 | + | 0.513536i | ||||
\(485\) | 27.1019 | − | 7.48872i | 1.23063 | − | 0.340045i | ||||
\(486\) | 25.0197 | + | 7.11016i | 1.13491 | + | 0.322523i | ||||
\(487\) | 8.69411 | + | 8.69411i | 0.393968 | + | 0.393968i | 0.876099 | − | 0.482131i | \(-0.160137\pi\) |
−0.482131 | + | 0.876099i | \(0.660137\pi\) | |||||||
\(488\) | −34.1186 | − | 1.54496i | −1.54448 | − | 0.0699372i | ||||
\(489\) | − | 24.3660i | − | 1.10187i | ||||||
\(490\) | 22.0792 | + | 0.161017i | 0.997436 | + | 0.00727400i | ||||
\(491\) | − | 28.2356i | − | 1.27425i | −0.770759 | − | 0.637127i | \(-0.780123\pi\) | ||
0.770759 | − | 0.637127i | \(-0.219877\pi\) | |||||||
\(492\) | −9.09854 | − | 38.5751i | −0.410194 | − | 1.73910i | ||||
\(493\) | 0.193975 | + | 0.193975i | 0.00873621 | + | 0.00873621i | ||||
\(494\) | −1.18793 | + | 4.18018i | −0.0534477 | + | 0.188075i | ||||
\(495\) | −8.45677 | − | 4.79506i | −0.380104 | − | 0.215522i | ||||
\(496\) | −14.1459 | + | 7.06615i | −0.635168 | + | 0.317280i | ||||
\(497\) | 0.172177 | − | 0.172177i | 0.00772319 | − | 0.00772319i | ||||
\(498\) | −42.4601 | + | 23.6677i | −1.90268 | + | 1.06058i | ||||
\(499\) | −21.6541 | −0.969373 | −0.484686 | − | 0.874688i | \(-0.661066\pi\) | ||||
−0.484686 | + | 0.874688i | \(0.661066\pi\) | |||||||
\(500\) | −19.2885 | − | 11.3116i | −0.862608 | − | 0.505872i | ||||
\(501\) | 41.2401 | 1.84247 | ||||||||
\(502\) | −6.05242 | + | 3.37368i | −0.270133 | + | 0.150575i | ||||
\(503\) | 24.6105 | − | 24.6105i | 1.09733 | − | 1.09733i | 0.102604 | − | 0.994722i | \(-0.467283\pi\) |
0.994722 | − | 0.102604i | \(-0.0327174\pi\) | |||||||
\(504\) | 0.579616 | − | 0.529398i | 0.0258182 | − | 0.0235813i | ||||
\(505\) | 16.5364 | + | 9.37630i | 0.735862 | + | 0.417240i | ||||
\(506\) | 5.07538 | − | 17.8596i | 0.225628 | − | 0.793955i | ||||
\(507\) | 1.59413 | + | 1.59413i | 0.0707977 | + | 0.0707977i | ||||
\(508\) | −8.93450 | + | 2.10734i | −0.396404 | + | 0.0934980i | ||||
\(509\) | − | 9.64884i | − | 0.427677i | −0.976869 | − | 0.213839i | \(-0.931403\pi\) | ||
0.976869 | − | 0.213839i | \(-0.0685966\pi\) | |||||||
\(510\) | −32.3844 | − | 0.236170i | −1.43401 | − | 0.0104578i | ||||
\(511\) | − | 1.98556i | − | 0.0878362i | ||||||
\(512\) | −22.4192 | − | 3.06233i | −0.990800 | − | 0.135337i | ||||
\(513\) | −4.49448 | − | 4.49448i | −0.198436 | − | 0.198436i | ||||
\(514\) | 9.24124 | + | 2.62620i | 0.407614 | + | 0.115837i | ||||
\(515\) | −26.2507 | + | 7.25353i | −1.15675 | + | 0.319629i | ||||
\(516\) | −33.9713 | − | 21.0044i | −1.49550 | − | 0.924669i | ||||
\(517\) | −11.6482 | + | 11.6482i | −0.512287 | + | 0.512287i | ||||
\(518\) | 0.408153 | + | 0.732229i | 0.0179332 | + | 0.0321723i | ||||
\(519\) | −47.5832 | −2.08867 | ||||||||
\(520\) | 1.40698 | + | 6.16607i | 0.0616999 | + | 0.270400i | ||||
\(521\) | −14.6649 | −0.642481 | −0.321241 | − | 0.946998i | \(-0.604100\pi\) | ||||
−0.321241 | + | 0.946998i | \(0.604100\pi\) | |||||||
\(522\) | −0.0865909 | − | 0.155345i | −0.00378998 | − | 0.00679926i | ||||
\(523\) | −11.9835 | + | 11.9835i | −0.524002 | + | 0.524002i | −0.918778 | − | 0.394776i | \(-0.870822\pi\) |
0.394776 | + | 0.918778i | \(0.370822\pi\) | |||||||
\(524\) | −11.6126 | − | 7.18008i | −0.507300 | − | 0.313663i | ||||
\(525\) | −0.771315 | − | 1.28914i | −0.0336629 | − | 0.0562627i | ||||
\(526\) | 5.09894 | + | 1.44903i | 0.222324 | + | 0.0631808i | ||||
\(527\) | 12.6980 | + | 12.6980i | 0.553134 | + | 0.553134i | ||||
\(528\) | −5.96030 | + | 17.8581i | −0.259389 | + | 0.777172i | ||||
\(529\) | − | 16.5458i | − | 0.719383i | ||||||
\(530\) | 12.3131 | − | 12.1348i | 0.534845 | − | 0.527100i | ||||
\(531\) | − | 11.3087i | − | 0.490755i | ||||||
\(532\) | −0.797182 | + | 0.188028i | −0.0345622 | + | 0.00815203i | ||||
\(533\) | 6.21556 | + | 6.21556i | 0.269226 | + | 0.269226i | ||||
\(534\) | −2.07690 | + | 7.30832i | −0.0898762 | + | 0.316262i | ||||
\(535\) | −6.22208 | − | 22.5179i | −0.269004 | − | 0.973533i | ||||
\(536\) | 14.8723 | + | 16.2831i | 0.642385 | + | 0.703322i | ||||
\(537\) | −30.9394 | + | 30.9394i | −1.33513 | + | 1.33513i | ||||
\(538\) | 27.9730 | − | 15.5924i | 1.20600 | − | 0.672237i | ||||
\(539\) | −14.5769 | −0.627871 | ||||||||
\(540\) | −8.87948 | − | 2.59353i | −0.382112 | − | 0.111608i | ||||
\(541\) | −27.1382 | −1.16676 | −0.583381 | − | 0.812199i | \(-0.698270\pi\) | ||||
−0.583381 | + | 0.812199i | \(0.698270\pi\) | |||||||
\(542\) | 33.2573 | − | 18.5380i | 1.42852 | − | 0.796274i | ||||
\(543\) | 3.68729 | − | 3.68729i | 0.158237 | − | 0.158237i | ||||
\(544\) | 4.76176 | + | 25.2521i | 0.204159 | + | 1.08267i | ||||
\(545\) | −1.11705 | + | 1.97008i | −0.0478493 | + | 0.0843891i | ||||
\(546\) | −0.116152 | + | 0.408722i | −0.00497084 | + | 0.0174917i | ||||
\(547\) | 5.39191 | + | 5.39191i | 0.230541 | + | 0.230541i | 0.812919 | − | 0.582377i | \(-0.197877\pi\) |
−0.582377 | + | 0.812919i | \(0.697877\pi\) | |||||||
\(548\) | −9.97083 | − | 42.2734i | −0.425933 | − | 1.80583i | ||||
\(549\) | − | 25.1463i | − | 1.07322i | ||||||
\(550\) | 12.7882 | + | 7.37480i | 0.545293 | + | 0.314462i | ||||
\(551\) | 0.185565i | 0.00790535i | ||||||||
\(552\) | −1.81391 | + | 40.0579i | −0.0772051 | + | 1.70498i | ||||
\(553\) | −0.710017 | − | 0.710017i | −0.0301930 | − | 0.0301930i | ||||
\(554\) | −10.0164 | − | 2.84648i | −0.425555 | − | 0.120935i | ||||
\(555\) | −11.0592 | + | 19.5045i | −0.469438 | + | 0.827921i | ||||
\(556\) | −14.5711 | + | 23.5665i | −0.617954 | + | 0.999442i | ||||
\(557\) | −0.668452 | + | 0.668452i | −0.0283232 | + | 0.0283232i | −0.721127 | − | 0.692803i | \(-0.756375\pi\) |
0.692803 | + | 0.721127i | \(0.256375\pi\) | |||||||
\(558\) | −5.66841 | − | 10.1692i | −0.239963 | − | 0.430496i | ||||
\(559\) | 8.85818 | 0.374661 | ||||||||
\(560\) | −0.885992 | + | 0.797456i | −0.0374400 | + | 0.0336987i | ||||
\(561\) | 21.3805 | 0.902686 | ||||||||
\(562\) | −6.51338 | − | 11.6851i | −0.274750 | − | 0.492904i | ||||
\(563\) | −14.4182 | + | 14.4182i | −0.607655 | + | 0.607655i | −0.942333 | − | 0.334677i | \(-0.891373\pi\) |
0.334677 | + | 0.942333i | \(0.391373\pi\) | |||||||
\(564\) | 18.7098 | − | 30.2601i | 0.787826 | − | 1.27418i | ||||
\(565\) | 8.23001 | + | 29.7846i | 0.346239 | + | 1.25305i | ||||
\(566\) | −6.17824 | − | 1.75575i | −0.259691 | − | 0.0737997i | ||||
\(567\) | −1.02820 | − | 1.02820i | −0.0431803 | − | 0.0431803i | ||||
\(568\) | 0.233764 | − | 5.16239i | 0.00980852 | − | 0.216609i | ||||
\(569\) | − | 20.5835i | − | 0.862906i | −0.902135 | − | 0.431453i | \(-0.858001\pi\) | ||
0.902135 | − | 0.431453i | \(-0.141999\pi\) | |||||||
\(570\) | −15.3772 | − | 15.6031i | −0.644080 | − | 0.653543i | ||||
\(571\) | − | 0.606956i | − | 0.0254003i | −0.999919 | − | 0.0127002i | \(-0.995957\pi\) | ||
0.999919 | − | 0.0127002i | \(-0.00404270\pi\) | |||||||
\(572\) | −0.958536 | − | 4.06391i | −0.0400784 | − | 0.169921i | ||||
\(573\) | −17.8888 | − | 17.8888i | −0.747316 | − | 0.747316i | ||||
\(574\) | −0.452880 | + | 1.59362i | −0.0189028 | + | 0.0665165i | ||||
\(575\) | 30.4945 | + | 7.66375i | 1.27171 | + | 0.319601i | ||||
\(576\) | 1.50571 | − | 16.5917i | 0.0627377 | − | 0.691322i | ||||
\(577\) | 20.2057 | − | 20.2057i | 0.841174 | − | 0.841174i | −0.147838 | − | 0.989012i | \(-0.547231\pi\) |
0.989012 | + | 0.147838i | \(0.0472314\pi\) | |||||||
\(578\) | 4.49105 | − | 2.50336i | 0.186803 | − | 0.104126i | ||||
\(579\) | 12.0600 | 0.501196 | ||||||||
\(580\) | 0.129765 | + | 0.236845i | 0.00538821 | + | 0.00983447i | ||||
\(581\) | 2.03198 | 0.0843008 | ||||||||
\(582\) | 35.0180 | − | 19.5194i | 1.45154 | − | 0.809106i | ||||
\(583\) | −8.07034 | + | 8.07034i | −0.334239 | + | 0.334239i | ||||
\(584\) | −28.4187 | − | 31.1145i | −1.17598 | − | 1.28753i | ||||
\(585\) | −4.48839 | + | 1.24022i | −0.185572 | + | 0.0512768i | ||||
\(586\) | −4.79492 | + | 16.8727i | −0.198076 | + | 0.697003i | ||||
\(587\) | 27.3636 | + | 27.3636i | 1.12942 | + | 1.12942i | 0.990272 | + | 0.139147i | \(0.0444360\pi\) |
0.139147 | + | 0.990272i | \(0.455564\pi\) | |||||||
\(588\) | 30.6413 | − | 7.22721i | 1.26362 | − | 0.298045i | ||||
\(589\) | 12.1475i | 0.500528i | ||||||||
\(590\) | −0.125229 | + | 17.1719i | −0.00515561 | + | 0.706956i | ||||
\(591\) | − | 33.5500i | − | 1.38006i | ||||||
\(592\) | 16.8761 | + | 5.63255i | 0.693602 | + | 0.231496i | ||||
\(593\) | −22.7433 | − | 22.7433i | −0.933954 | − | 0.933954i | 0.0639961 | − | 0.997950i | \(-0.479615\pi\) |
−0.997950 | + | 0.0639961i | \(0.979615\pi\) | |||||||
\(594\) | 5.87450 | + | 1.66943i | 0.241034 | + | 0.0684976i | ||||
\(595\) | 1.17761 | + | 0.667713i | 0.0482772 | + | 0.0273736i | ||||
\(596\) | −1.28758 | − | 0.796112i | −0.0527415 | − | 0.0326100i | ||||
\(597\) | 42.8429 | − | 42.8429i | 1.75345 | − | 1.75345i | ||||
\(598\) | −4.33000 | − | 7.76806i | −0.177067 | − | 0.317660i | ||||
\(599\) | 10.1945 | 0.416534 | 0.208267 | − | 0.978072i | \(-0.433218\pi\) | ||||
0.208267 | + | 0.978072i | \(0.433218\pi\) | |||||||
\(600\) | −30.5378 | − | 9.16174i | −1.24670 | − | 0.374026i | ||||
\(601\) | −29.0983 | −1.18694 | −0.593471 | − | 0.804855i | \(-0.702243\pi\) | ||||
−0.593471 | + | 0.804855i | \(0.702243\pi\) | |||||||
\(602\) | 0.812871 | + | 1.45830i | 0.0331301 | + | 0.0594358i | ||||
\(603\) | −11.4811 | + | 11.4811i | −0.467548 | + | 0.467548i | ||||
\(604\) | 0.974174 | + | 0.602331i | 0.0396386 | + | 0.0245085i | ||||
\(605\) | 12.9186 | + | 7.32495i | 0.525216 | + | 0.297802i | ||||
\(606\) | 26.0723 | + | 7.40929i | 1.05911 | + | 0.300982i | ||||
\(607\) | 33.7644 | + | 33.7644i | 1.37045 | + | 1.37045i | 0.859767 | + | 0.510687i | \(0.170609\pi\) |
0.510687 | + | 0.859767i | \(0.329391\pi\) | |||||||
\(608\) | −9.80096 | + | 14.3563i | −0.397481 | + | 0.582224i | ||||
\(609\) | 0.0181439i | 0.000735227i | ||||||||
\(610\) | −0.278463 | + | 38.1838i | −0.0112746 | + | 1.54602i | ||||
\(611\) | 7.89047i | 0.319214i | ||||||||
\(612\) | −18.4147 | + | 4.34340i | −0.744372 | + | 0.175571i | ||||
\(613\) | −22.7265 | − | 22.7265i | −0.917913 | − | 0.917913i | 0.0789647 | − | 0.996877i | \(-0.474839\pi\) |
−0.996877 | + | 0.0789647i | \(0.974839\pi\) | |||||||
\(614\) | 8.06695 | − | 28.3865i | 0.325556 | − | 1.14559i | ||||
\(615\) | −42.7112 | + | 11.8018i | −1.72228 | + | 0.475896i | ||||
\(616\) | 0.581070 | − | 0.530726i | 0.0234120 | − | 0.0213835i | ||||
\(617\) | −6.40115 | + | 6.40115i | −0.257700 | + | 0.257700i | −0.824118 | − | 0.566418i | \(-0.808329\pi\) |
0.566418 | + | 0.824118i | \(0.308329\pi\) | |||||||
\(618\) | −33.9183 | + | 18.9064i | −1.36439 | + | 0.760527i | ||||
\(619\) | 18.4358 | 0.740998 | 0.370499 | − | 0.928833i | \(-0.379187\pi\) | ||||
0.370499 | + | 0.928833i | \(0.379187\pi\) | |||||||
\(620\) | 8.49470 | + | 15.5044i | 0.341155 | + | 0.622670i | ||||
\(621\) | 13.0077 | 0.521981 | ||||||||
\(622\) | −15.7932 | + | 8.80329i | −0.633249 | + | 0.352980i | ||||
\(623\) | 0.224571 | − | 0.224571i | 0.00899724 | − | 0.00899724i | ||||
\(624\) | 4.02976 | + | 8.06727i | 0.161320 | + | 0.322949i | ||||
\(625\) | −11.8193 | + | 22.0296i | −0.472772 | + | 0.881185i | ||||
\(626\) | 12.0950 | − | 42.5608i | 0.483415 | − | 1.70107i | ||||
\(627\) | 10.2268 | + | 10.2268i | 0.408417 | + | 0.408417i | ||||
\(628\) | 3.85206 | + | 16.3316i | 0.153714 | + | 0.651701i | ||||
\(629\) | − | 20.2048i | − | 0.805619i | ||||||
\(630\) | −0.616051 | − | 0.625102i | −0.0245441 | − | 0.0249047i | ||||
\(631\) | − | 42.8895i | − | 1.70740i | −0.520763 | − | 0.853701i | \(-0.674352\pi\) | ||
0.520763 | − | 0.853701i | \(-0.325648\pi\) | |||||||
\(632\) | −21.2885 | − | 0.963987i | −0.846810 | − | 0.0383454i | ||||
\(633\) | 24.0867 | + | 24.0867i | 0.957360 | + | 0.957360i | ||||
\(634\) | −7.27551 | − | 2.06757i | −0.288947 | − | 0.0821138i | ||||
\(635\) | 2.73346 | + | 9.89246i | 0.108474 | + | 0.392570i | ||||
\(636\) | 12.9629 | − | 20.9655i | 0.514014 | − | 0.831335i | ||||
\(637\) | −4.93719 | + | 4.93719i | −0.195619 | + | 0.195619i | ||||
\(638\) | −0.0868081 | − | 0.155735i | −0.00343677 | − | 0.00616559i | ||||
\(639\) | 3.80481 | 0.150516 | ||||||||
\(640\) | −2.47010 | + | 25.1773i | −0.0976392 | + | 0.995222i | ||||
\(641\) | −0.421416 | −0.0166449 | −0.00832246 | − | 0.999965i | \(-0.502649\pi\) | ||||
−0.00832246 | + | 0.999965i | \(0.502649\pi\) | |||||||
\(642\) | −16.2179 | − | 29.0951i | −0.640070 | − | 1.14829i | ||||
\(643\) | −28.3784 | + | 28.3784i | −1.11914 | + | 1.11914i | −0.127268 | + | 0.991868i | \(0.540621\pi\) |
−0.991868 | + | 0.127268i | \(0.959379\pi\) | |||||||
\(644\) | 0.881492 | − | 1.42567i | 0.0347356 | − | 0.0561793i | ||||
\(645\) | −22.0254 | + | 38.8449i | −0.867249 | + | 1.52952i | ||||
\(646\) | 18.9891 | + | 5.39637i | 0.747116 | + | 0.212317i | ||||
\(647\) | 18.8470 | + | 18.8470i | 0.740953 | + | 0.740953i | 0.972762 | − | 0.231808i | \(-0.0744642\pi\) |
−0.231808 | + | 0.972762i | \(0.574464\pi\) | |||||||
\(648\) | −30.8286 | − | 1.39598i | −1.21106 | − | 0.0548394i | ||||
\(649\) | − | 11.3370i | − | 0.445018i | ||||||
\(650\) | 6.82921 | − | 1.83353i | 0.267864 | − | 0.0719171i | ||||
\(651\) | 1.18773i | 0.0465510i | ||||||||
\(652\) | 4.96231 | + | 21.0387i | 0.194339 | + | 0.823941i | ||||
\(653\) | −0.597495 | − | 0.597495i | −0.0233818 | − | 0.0233818i | 0.695319 | − | 0.718701i | \(-0.255263\pi\) |
−0.718701 | + | 0.695319i | \(0.755263\pi\) | |||||||
\(654\) | −0.882712 | + | 3.10614i | −0.0345168 | + | 0.121460i | ||||
\(655\) | −7.52908 | + | 13.2786i | −0.294185 | + | 0.518838i | ||||
\(656\) | 15.7122 | + | 31.4546i | 0.613458 | + | 1.22809i | ||||
\(657\) | 21.9388 | − | 21.9388i | 0.855912 | − | 0.855912i | ||||
\(658\) | −1.29899 | + | 0.724069i | −0.0506398 | + | 0.0282271i | ||||
\(659\) | −42.0413 | −1.63770 | −0.818848 | − | 0.574010i | \(-0.805387\pi\) | ||||
−0.818848 | + | 0.574010i | \(0.805387\pi\) | |||||||
\(660\) | 20.2044 | + | 5.90132i | 0.786456 | + | 0.229709i | ||||
\(661\) | 30.0939 | 1.17052 | 0.585258 | − | 0.810847i | \(-0.300993\pi\) | ||||
0.585258 | + | 0.810847i | \(0.300993\pi\) | |||||||
\(662\) | 17.3261 | − | 9.65778i | 0.673400 | − | 0.375360i | ||||
\(663\) | 7.24157 | − | 7.24157i | 0.281239 | − | 0.281239i | ||||
\(664\) | 31.8419 | − | 29.0831i | 1.23571 | − | 1.12864i | ||||
\(665\) | 0.243893 | + | 0.882657i | 0.00945778 | + | 0.0342280i | ||||
\(666\) | −3.58077 | + | 12.6002i | −0.138752 | + | 0.488249i | ||||
\(667\) | −0.268527 | − | 0.268527i | −0.0103974 | − | 0.0103974i | ||||
\(668\) | −35.6086 | + | 8.39885i | −1.37774 | + | 0.324961i | ||||
\(669\) | 46.1169i | 1.78298i | ||||||||
\(670\) | 17.5609 | − | 17.3066i | 0.678437 | − | 0.668613i | ||||
\(671\) | − | 25.2093i | − | 0.973196i | ||||||
\(672\) | −0.958301 | + | 1.40370i | −0.0369673 | + | 0.0541490i | ||||
\(673\) | −11.9962 | − | 11.9962i | −0.462419 | − | 0.462419i | 0.437028 | − | 0.899448i | \(-0.356031\pi\) |
−0.899448 | + | 0.437028i | \(0.856031\pi\) | |||||||
\(674\) | −34.7616 | − | 9.87866i | −1.33897 | − | 0.380512i | ||||
\(675\) | −2.52082 | + | 10.0305i | −0.0970262 | + | 0.386072i | ||||
\(676\) | −1.70110 | − | 1.05179i | −0.0654269 | − | 0.0404534i | ||||
\(677\) | 18.8444 | − | 18.8444i | 0.724250 | − | 0.724250i | −0.245218 | − | 0.969468i | \(-0.578860\pi\) |
0.969468 | + | 0.245218i | \(0.0788596\pi\) | |||||||
\(678\) | 21.4516 | + | 38.4844i | 0.823845 | + | 1.47798i | ||||
\(679\) | −1.67583 | −0.0643125 | ||||||||
\(680\) | 28.0103 | − | 6.39140i | 1.07415 | − | 0.245099i | ||||
\(681\) | −42.5479 | −1.63044 | ||||||||
\(682\) | −5.68263 | − | 10.1947i | −0.217599 | − | 0.390375i | ||||
\(683\) | 3.30342 | − | 3.30342i | 0.126402 | − | 0.126402i | −0.641076 | − | 0.767478i | \(-0.721512\pi\) |
0.767478 | + | 0.641076i | \(0.221512\pi\) | |||||||
\(684\) | −10.8857 | − | 6.73063i | −0.416226 | − | 0.257352i | ||||
\(685\) | −46.8060 | + | 12.9333i | −1.78836 | + | 0.494156i | ||||
\(686\) | −2.53493 | − | 0.720384i | −0.0967842 | − | 0.0275044i | ||||
\(687\) | −16.3291 | − | 16.3291i | −0.622996 | − | 0.622996i | ||||
\(688\) | 33.6101 | + | 11.2177i | 1.28137 | + | 0.427671i | ||||
\(689\) | 5.46684i | 0.208270i | ||||||||
\(690\) | 44.8308 | + | 0.326938i | 1.70668 | + | 0.0124463i | ||||
\(691\) | − | 20.9759i | − | 0.797959i | −0.916960 | − | 0.398980i | \(-0.869364\pi\) | ||
0.916960 | − | 0.398980i | \(-0.130636\pi\) | |||||||
\(692\) | 41.0855 | − | 9.69066i | 1.56184 | − | 0.368384i | ||||
\(693\) | 0.409711 | + | 0.409711i | 0.0155636 | + | 0.0155636i | ||||
\(694\) | 4.72146 | − | 16.6142i | 0.179224 | − | 0.630665i | ||||
\(695\) | 26.9474 | + | 15.2794i | 1.02217 | + | 0.579581i | ||||
\(696\) | 0.259687 | + | 0.284321i | 0.00984342 | + | 0.0107772i | ||||
\(697\) | 28.2351 | − | 28.2351i | 1.06948 | − | 1.06948i | ||||
\(698\) | 16.8512 | − | 9.39304i | 0.637827 | − | 0.355532i | ||||
\(699\) | 17.8200 | 0.674014 | ||||||||
\(700\) | 0.928532 | + | 0.956020i | 0.0350952 | + | 0.0361342i | ||||
\(701\) | 22.5178 | 0.850485 | 0.425242 | − | 0.905080i | \(-0.360189\pi\) | ||||
0.425242 | + | 0.905080i | \(0.360189\pi\) | |||||||
\(702\) | 2.55512 | − | 1.42425i | 0.0964370 | − | 0.0537550i | ||||
\(703\) | 9.66440 | − | 9.66440i | 0.364500 | − | 0.364500i | ||||
\(704\) | 1.50948 | − | 16.6333i | 0.0568907 | − | 0.626892i | ||||
\(705\) | −34.6013 | − | 19.6192i | −1.30316 | − | 0.738903i | ||||
\(706\) | 2.82545 | − | 9.94236i | 0.106337 | − | 0.374186i | ||||
\(707\) | −0.801152 | − | 0.801152i | −0.0301304 | − | 0.0301304i | ||||
\(708\) | 5.62090 | + | 23.8310i | 0.211246 | + | 0.895622i | ||||
\(709\) | 30.7947i | 1.15652i | 0.815853 | + | 0.578260i | \(0.196268\pi\) | ||||
−0.815853 | + | 0.578260i | \(0.803732\pi\) | |||||||
\(710\) | −5.77749 | − | 0.0421334i | −0.216825 | − | 0.00158124i | ||||
\(711\) | − | 15.6901i | − | 0.588426i | ||||||
\(712\) | 0.304899 | − | 6.73332i | 0.0114266 | − | 0.252342i | ||||
\(713\) | −17.5783 | − | 17.5783i | −0.658312 | − | 0.658312i | ||||
\(714\) | 1.85668 | + | 0.527637i | 0.0694846 | + | 0.0197463i | ||||
\(715\) | −4.49965 | + | 1.24333i | −0.168277 | + | 0.0464979i | ||||
\(716\) | 20.4135 | − | 33.0155i | 0.762888 | − | 1.23385i | ||||
\(717\) | −26.2893 | + | 26.2893i | −0.981793 | + | 0.981793i | ||||
\(718\) | −13.6548 | − | 24.4968i | −0.509591 | − | 0.914211i | ||||
\(719\) | 47.2247 | 1.76118 | 0.880592 | − | 0.473875i | \(-0.157145\pi\) | ||||
0.880592 | + | 0.473875i | \(0.157145\pi\) | |||||||
\(720\) | −18.6006 | − | 0.978249i | −0.693205 | − | 0.0364572i | ||||
\(721\) | 1.62320 | 0.0604512 | ||||||||
\(722\) | −6.58082 | − | 11.8060i | −0.244913 | − | 0.439376i | ||||
\(723\) | 24.6366 | − | 24.6366i | 0.916247 | − | 0.916247i | ||||
\(724\) | −2.43284 | + | 3.93472i | −0.0904156 | + | 0.146233i | ||||
\(725\) | 0.259105 | − | 0.155027i | 0.00962290 | − | 0.00575755i | ||||
\(726\) | 20.3682 | + | 5.78829i | 0.755934 | + | 0.214823i | ||||
\(727\) | −13.5916 | − | 13.5916i | −0.504083 | − | 0.504083i | 0.408621 | − | 0.912704i | \(-0.366010\pi\) |
−0.912704 | + | 0.408621i | \(0.866010\pi\) | |||||||
\(728\) | 0.0170517 | − | 0.376565i | 0.000631977 | − | 0.0139564i | ||||
\(729\) | − | 8.73169i | − | 0.323396i | ||||||
\(730\) | −33.5563 | + | 33.0704i | −1.24197 | + | 1.22399i | ||||
\(731\) | − | 40.2396i | − | 1.48832i | ||||||
\(732\) | 12.4988 | + | 52.9911i | 0.461968 | + | 1.95861i | ||||
\(733\) | 6.55024 | + | 6.55024i | 0.241939 | + | 0.241939i | 0.817652 | − | 0.575713i | \(-0.195276\pi\) |
−0.575713 | + | 0.817652i | \(0.695276\pi\) | |||||||
\(734\) | −8.88483 | + | 31.2645i | −0.327945 | + | 1.15399i | ||||
\(735\) | −9.37452 | − | 33.9266i | −0.345784 | − | 1.25140i | ||||
\(736\) | −6.59187 | − | 34.9573i | −0.242980 | − | 1.28854i | ||||
\(737\) | −11.5099 | + | 11.5099i | −0.423974 | + | 0.423974i | ||||
\(738\) | −22.6121 | + | 12.6042i | −0.832362 | + | 0.463967i | ||||
\(739\) | 3.90879 | 0.143787 | 0.0718936 | − | 0.997412i | \(-0.477096\pi\) | ||||
0.0718936 | + | 0.997412i | \(0.477096\pi\) | |||||||
\(740\) | 5.57682 | − | 19.0934i | 0.205008 | − | 0.701888i | ||||
\(741\) | 6.92760 | 0.254492 | ||||||||
\(742\) | −0.899991 | + | 0.501665i | −0.0330397 | + | 0.0184167i | ||||
\(743\) | 26.9910 | − | 26.9910i | 0.990204 | − | 0.990204i | −0.00974863 | − | 0.999952i | \(-0.503103\pi\) |
0.999952 | + | 0.00974863i | \(0.00310313\pi\) | |||||||
\(744\) | 16.9996 | + | 18.6122i | 0.623237 | + | 0.682357i | ||||
\(745\) | −0.834809 | + | 1.47230i | −0.0305850 | + | 0.0539410i | ||||
\(746\) | 0.568620 | − | 2.00089i | 0.0208186 | − | 0.0732579i | ||||
\(747\) | 22.4516 | + | 22.4516i | 0.821462 | + | 0.821462i | ||||
\(748\) | −18.4609 | + | 4.35429i | −0.674998 | + | 0.159209i | ||||
\(749\) | 1.39238i | 0.0508766i | ||||||||
\(750\) | −8.94007 | + | 34.5065i | −0.326445 | + | 1.26000i | ||||
\(751\) | 3.54388i | 0.129318i | 0.997907 | + | 0.0646591i | \(0.0205960\pi\) | ||||
−0.997907 | + | 0.0646591i | \(0.979404\pi\) | |||||||
\(752\) | −9.99224 | + | 29.9384i | −0.364379 | + | 1.09174i | ||||
\(753\) | 7.81070 | + | 7.81070i | 0.284638 | + | 0.284638i | ||||
\(754\) | −0.0821491 | − | 0.0233453i | −0.00299169 | − | 0.000850187i | ||||
\(755\) | 0.631608 | − | 1.11393i | 0.0229866 | − | 0.0405401i | ||||
\(756\) | 0.468942 | + | 0.289946i | 0.0170553 | + | 0.0105453i | ||||
\(757\) | −20.7879 | + | 20.7879i | −0.755551 | + | 0.755551i | −0.975509 | − | 0.219959i | \(-0.929408\pi\) |
0.219959 | + | 0.975509i | \(0.429408\pi\) | |||||||
\(758\) | −2.00451 | − | 3.59611i | −0.0728072 | − | 0.130617i | ||||
\(759\) | −29.5978 | −1.07433 | ||||||||
\(760\) | 16.4551 | + | 10.3408i | 0.596889 | + | 0.375100i | ||||
\(761\) | 16.3149 | 0.591414 | 0.295707 | − | 0.955279i | \(-0.404445\pi\) | ||||
0.295707 | + | 0.955279i | \(0.404445\pi\) | |||||||
\(762\) | 7.12479 | + | 12.7819i | 0.258104 | + | 0.463041i | ||||
\(763\) | 0.0954459 | − | 0.0954459i | 0.00345537 | − | 0.00345537i | ||||
\(764\) | 19.0892 | + | 11.8029i | 0.690624 | + | 0.427012i | ||||
\(765\) | 5.63389 | + | 20.3892i | 0.203694 | + | 0.737173i | ||||
\(766\) | −2.35775 | − | 0.670032i | −0.0851890 | − | 0.0242092i | ||||
\(767\) | −3.83985 | − | 3.83985i | −0.138649 | − | 0.138649i | ||||
\(768\) | 5.07380 | + | 35.7124i | 0.183085 | + | 1.28866i | ||||
\(769\) | 34.6856i | 1.25080i | 0.780306 | + | 0.625398i | \(0.215063\pi\) | ||||
−0.780306 | + | 0.625398i | \(0.784937\pi\) | |||||||
\(770\) | −0.617596 | − | 0.626670i | −0.0222566 | − | 0.0225836i | ||||
\(771\) | − | 15.3150i | − | 0.551557i | ||||||
\(772\) | −10.4132 | + | 2.45610i | −0.374778 | + | 0.0883971i | ||||
\(773\) | −14.9812 | − | 14.9812i | −0.538835 | − | 0.538835i | 0.384352 | − | 0.923187i | \(-0.374425\pi\) |
−0.923187 | + | 0.384352i | \(0.874425\pi\) | |||||||
\(774\) | −7.13141 | + | 25.0944i | −0.256333 | + | 0.902001i | ||||
\(775\) | 16.9615 | − | 10.1484i | 0.609275 | − | 0.364540i | ||||
\(776\) | −26.2609 | + | 23.9856i | −0.942712 | + | 0.861034i | ||||
\(777\) | 0.944949 | − | 0.944949i | 0.0338998 | − | 0.0338998i | ||||
\(778\) | 37.2829 | − | 20.7819i | 1.33666 | − | 0.745067i | ||||
\(779\) | 27.0110 | 0.967768 | ||||||||
\(780\) | 8.84200 | − | 4.84445i | 0.316595 | − | 0.173459i | ||||
\(781\) | 3.81435 | 0.136488 | ||||||||
\(782\) | −35.2876 | + | 19.6697i | −1.26188 | + | 0.703386i | ||||
\(783\) | 0.0883257 | − | 0.0883257i | 0.00315650 | − | 0.00315650i | ||||
\(784\) | −24.9852 | + | 12.4806i | −0.892329 | + | 0.445736i | ||||
\(785\) | 18.0827 | − | 4.99656i | 0.645399 | − | 0.178335i | ||||
\(786\) | −5.94959 | + | 20.9358i | −0.212215 | + | 0.746755i | ||||
\(787\) | 4.75724 | + | 4.75724i | 0.169577 | + | 0.169577i | 0.786794 | − | 0.617216i | \(-0.211740\pi\) |
−0.617216 | + | 0.786794i | \(0.711740\pi\) | |||||||
\(788\) | 6.83271 | + | 28.9687i | 0.243405 | + | 1.03197i | ||||
\(789\) | − | 8.45022i | − | 0.300836i | ||||||
\(790\) | −0.173748 | + | 23.8250i | −0.00618169 | + | 0.847655i | ||||
\(791\) | − | 1.84172i | − | 0.0654841i | ||||||
\(792\) | 12.2844 | + | 0.556263i | 0.436506 | + | 0.0197659i | ||||
\(793\) | −8.53839 | − | 8.53839i | −0.303207 | − | 0.303207i | ||||
\(794\) | −49.7618 | − | 14.1414i | −1.76598 | − | 0.501861i | ||||
\(795\) | −23.9732 | − | 13.5930i | −0.850243 | − | 0.482095i | ||||
\(796\) | −28.2673 | + | 45.7179i | −1.00191 | + | 1.62043i | ||||
\(797\) | −26.3530 | + | 26.3530i | −0.933472 | + | 0.933472i | −0.997921 | − | 0.0644491i | \(-0.979471\pi\) |
0.0644491 | + | 0.997921i | \(0.479471\pi\) | |||||||
\(798\) | 0.635711 | + | 1.14047i | 0.0225039 | + | 0.0403722i | ||||
\(799\) | 35.8437 | 1.26806 | ||||||||
\(800\) | 28.2337 | + | 1.69142i | 0.998210 | + | 0.0598007i | ||||
\(801\) | 4.96263 | 0.175346 | ||||||||
\(802\) | −2.97669 | − | 5.34021i | −0.105111 | − | 0.188569i | ||||
\(803\) | 21.9938 | − | 21.9938i | 0.776143 | − | 0.776143i | ||||
\(804\) | 18.4878 | − | 29.9010i | 0.652013 | − | 1.05453i | ||||
\(805\) | −1.63020 | − | 0.924338i | −0.0574571 | − | 0.0325786i | ||||
\(806\) | −5.37764 | − | 1.52823i | −0.189419 | − | 0.0538297i | ||||
\(807\) | −36.0993 | − | 36.0993i | −1.27076 | − | 1.27076i | ||||
\(808\) | −24.0210 | − | 1.08772i | −0.845055 | − | 0.0382659i | ||||
\(809\) | 45.9200i | 1.61446i | 0.590237 | + | 0.807230i | \(0.299034\pi\) | ||||
−0.590237 | + | 0.807230i | \(0.700966\pi\) | |||||||
\(810\) | −0.251611 | + | 34.5018i | −0.00884070 | + | 1.21227i | ||||
\(811\) | − | 9.69736i | − | 0.340521i | −0.985399 | − | 0.170260i | \(-0.945539\pi\) | ||
0.985399 | − | 0.170260i | \(-0.0544608\pi\) | |||||||
\(812\) | −0.00369513 | − | 0.0156663i | −0.000129674 | − | 0.000549778i | ||||
\(813\) | −42.9188 | − | 42.9188i | −1.50523 | − | 1.50523i | ||||
\(814\) | −3.58975 | + | 12.6318i | −0.125821 | + | 0.442745i | ||||
\(815\) | 23.2945 | − | 6.43669i | 0.815972 | − | 0.225467i | ||||
\(816\) | 36.6468 | − | 18.3058i | 1.28289 | − | 0.640832i | ||||
\(817\) | 19.2475 | − | 19.2475i | 0.673384 | − | 0.673384i | ||||
\(818\) | −18.8330 | + | 10.4977i | −0.658480 | + | 0.367044i | ||||
\(819\) | 0.277538 | 0.00969795 | ||||||||
\(820\) | 34.4753 | − | 18.8887i | 1.20393 | − | 0.659622i | ||||
\(821\) | 5.27367 | 0.184052 | 0.0920262 | − | 0.995757i | \(-0.470666\pi\) | ||||
0.0920262 | + | 0.995757i | \(0.470666\pi\) | |||||||
\(822\) | −60.4775 | + | 33.7108i | −2.10939 | + | 1.17580i | ||||
\(823\) | 30.6955 | − | 30.6955i | 1.06998 | − | 1.06998i | 0.0726179 | − | 0.997360i | \(-0.476865\pi\) |
0.997360 | − | 0.0726179i | \(-0.0231353\pi\) | |||||||
\(824\) | 25.4362 | − | 23.2324i | 0.886112 | − | 0.809338i | ||||
\(825\) | 5.73588 | − | 22.8233i | 0.199698 | − | 0.794607i | ||||
\(826\) | 0.279780 | − | 0.984509i | 0.00973480 | − | 0.0342554i | ||||
\(827\) | −29.4133 | − | 29.4133i | −1.02280 | − | 1.02280i | −0.999734 | − | 0.0230676i | \(-0.992657\pi\) |
−0.0230676 | − | 0.999734i | \(-0.507343\pi\) | |||||||
\(828\) | 25.4921 | − | 6.01271i | 0.885913 | − | 0.208956i | ||||
\(829\) | 4.04257i | 0.140404i | 0.997533 | + | 0.0702022i | \(0.0223644\pi\) | ||||
−0.997533 | + | 0.0702022i | \(0.977636\pi\) | |||||||
\(830\) | −33.8435 | − | 34.3407i | −1.17472 | − | 1.19198i | ||||
\(831\) | 16.5996i | 0.575835i | ||||||||
\(832\) | −5.12244 | − | 6.14496i | −0.177589 | − | 0.213038i | ||||
\(833\) | 22.4279 | + | 22.4279i | 0.777081 | + | 0.777081i | ||||
\(834\) | 42.4868 | + | 12.0740i | 1.47120 | + | 0.418089i | ||||
\(835\) | 10.8943 | + | 39.4266i | 0.377012 | + | 1.36442i | ||||
\(836\) | −10.9130 | − | 6.74751i | −0.377434 | − | 0.233367i | ||||
\(837\) | 5.78198 | − | 5.78198i | 0.199854 | − | 0.199854i | ||||
\(838\) | −8.51419 | − | 15.2745i | −0.294118 | − | 0.527650i | ||||
\(839\) | −27.2904 | −0.942168 | −0.471084 | − | 0.882088i | \(-0.656137\pi\) | ||||
−0.471084 | + | 0.882088i | \(0.656137\pi\) | |||||||
\(840\) | 1.60892 | + | 1.01108i | 0.0555129 | + | 0.0348857i | ||||
\(841\) | 28.9964 | 0.999874 | ||||||||
\(842\) | 2.95158 | + | 5.29516i | 0.101718 | + | 0.182483i | ||||
\(843\) | −15.0797 | + | 15.0797i | −0.519371 | + | 0.519371i | ||||
\(844\) | −25.7030 | − | 15.8921i | −0.884734 | − | 0.547030i | ||||
\(845\) | −1.10291 | + | 1.94514i | −0.0379413 | + | 0.0669150i | ||||
\(846\) | −22.3530 | − | 6.35234i | −0.768512 | − | 0.218398i | ||||
\(847\) | −0.625876 | − | 0.625876i | −0.0215053 | − | 0.0215053i | ||||
\(848\) | −6.92303 | + | 20.7426i | −0.237738 | + | 0.712302i | ||||
\(849\) | 10.2389i | 0.351398i | ||||||||
\(850\) | −8.32910 | − | 31.0227i | −0.285686 | − | 1.06407i | ||||
\(851\) | 27.9702i | 0.958807i | ||||||||
\(852\) | −8.01793 | + | 1.89115i | −0.274690 | + | 0.0647898i | ||||
\(853\) | 29.9518 | + | 29.9518i | 1.02553 | + | 1.02553i | 0.999665 | + | 0.0258661i | \(0.00823434\pi\) |
0.0258661 | + | 0.999665i | \(0.491766\pi\) | |||||||
\(854\) | 0.622127 | − | 2.18918i | 0.0212887 | − | 0.0749121i | ||||
\(855\) | −7.05778 | + | 12.4474i | −0.241371 | + | 0.425692i | ||||
\(856\) | 19.9287 | + | 21.8192i | 0.681150 | + | 0.745764i | ||||
\(857\) | −2.09341 | + | 2.09341i | −0.0715096 | + | 0.0715096i | −0.741957 | − | 0.670447i | \(-0.766102\pi\) |
0.670447 | + | 0.741957i | \(0.266102\pi\) | |||||||
\(858\) | −5.81394 | + | 3.24075i | −0.198485 | + | 0.110638i | ||||
\(859\) | −15.7547 | −0.537542 | −0.268771 | − | 0.963204i | \(-0.586618\pi\) | ||||
−0.268771 | + | 0.963204i | \(0.586618\pi\) | |||||||
\(860\) | 11.1067 | − | 38.0262i | 0.378736 | − | 1.29668i | ||||
\(861\) | 2.64103 | 0.0900060 | ||||||||
\(862\) | −3.07330 | + | 1.71309i | −0.104677 | + | 0.0583481i | ||||
\(863\) | −24.7182 | + | 24.7182i | −0.841417 | + | 0.841417i | −0.989043 | − | 0.147626i | \(-0.952837\pi\) |
0.147626 | + | 0.989043i | \(0.452837\pi\) | |||||||
\(864\) | 11.4984 | − | 2.16825i | 0.391184 | − | 0.0737652i | ||||
\(865\) | −12.5699 | − | 45.4908i | −0.427389 | − | 1.54673i | ||||
\(866\) | −13.3255 | + | 46.8904i | −0.452817 | + | 1.59340i | ||||
\(867\) | −5.79573 | − | 5.79573i | −0.196833 | − | 0.196833i | ||||
\(868\) | −0.241890 | − | 1.02554i | −0.00821030 | − | 0.0348093i | ||||
\(869\) | − | 15.7295i | − | 0.533586i | ||||||
\(870\) | 0.306633 | − | 0.302194i | 0.0103958 | − | 0.0102453i | ||||
\(871\) | 7.79682i | 0.264185i | ||||||||
\(872\) | 0.129587 | − | 2.86176i | 0.00438836 | − | 0.0969114i | ||||
\(873\) | −18.5165 | − | 18.5165i | −0.626688 | − | 0.626688i | ||||
\(874\) | −26.2872 | − | 7.47038i | −0.889179 | − | 0.252689i | ||||
\(875\) | 1.02870 | − | 1.07795i | 0.0347763 | − | 0.0364412i | ||||
\(876\) | −35.3274 | + | 57.1363i | −1.19360 | + | 1.93046i | ||||
\(877\) | 16.8358 | − | 16.8358i | 0.568506 | − | 0.568506i | −0.363204 | − | 0.931710i | \(-0.618317\pi\) |
0.931710 | + | 0.363204i | \(0.118317\pi\) | |||||||
\(878\) | 7.48653 | + | 13.4309i | 0.252658 | + | 0.453271i | ||||
\(879\) | 27.9622 | 0.943142 | ||||||||
\(880\) | −18.6473 | − | 0.980702i | −0.628600 | − | 0.0330595i | ||||
\(881\) | 27.7897 | 0.936260 | 0.468130 | − | 0.883660i | \(-0.344928\pi\) | ||||
0.468130 | + | 0.883660i | \(0.344928\pi\) | |||||||
\(882\) | −10.0119 | − | 17.9614i | −0.337117 | − | 0.604791i | ||||
\(883\) | 23.3852 | − | 23.3852i | 0.786973 | − | 0.786973i | −0.194024 | − | 0.980997i | \(-0.562154\pi\) |
0.980997 | + | 0.194024i | \(0.0621539\pi\) | |||||||
\(884\) | −4.77791 | + | 7.72750i | −0.160698 | + | 0.259904i | ||||
\(885\) | 26.3861 | − | 7.29095i | 0.886960 | − | 0.245083i | ||||
\(886\) | 20.3205 | + | 5.77475i | 0.682682 | + | 0.194006i | ||||
\(887\) | −4.00213 | − | 4.00213i | −0.134378 | − | 0.134378i | 0.636718 | − | 0.771097i | \(-0.280291\pi\) |
−0.771097 | + | 0.636718i | \(0.780291\pi\) | |||||||
\(888\) | 1.28295 | − | 28.3324i | 0.0430531 | − | 0.950774i | ||||
\(889\) | − | 0.611696i | − | 0.0205156i | ||||||
\(890\) | −7.53559 | − | 0.0549548i | −0.252594 | − | 0.00184209i | ||||
\(891\) | − | 22.7784i | − | 0.763105i | ||||||
\(892\) | −9.39204 | − | 39.8195i | −0.314469 | − | 1.33325i | ||||
\(893\) | 17.1448 | + | 17.1448i | 0.573729 | + | 0.573729i | ||||
\(894\) | −0.659678 | + | 2.32132i | −0.0220629 | + | 0.0776364i | ||||
\(895\) | −37.7520 | − | 21.4057i | −1.26191 | − | 0.715514i | ||||
\(896\) | 0.541568 | − | 1.40719i | 0.0180925 | − | 0.0470108i | ||||
\(897\) | −10.0247 | + | 10.0247i | −0.334717 | + | 0.334717i | ||||
\(898\) | 5.28199 | − | 2.94424i | 0.176262 | − | 0.0982506i | ||||
\(899\) | −0.238723 | −0.00796185 | ||||||||
\(900\) | −0.303723 | + | 20.8227i | −0.0101241 | + | 0.694089i | ||||
\(901\) | 24.8340 | 0.827339 | ||||||||
\(902\) | −22.6688 | + | 12.6358i | −0.754788 | + | 0.420727i | ||||
\(903\) | 1.88195 | − | 1.88195i | 0.0626272 | − | 0.0626272i | ||||
\(904\) | −26.3600 | − | 28.8605i | −0.876719 | − | 0.959884i | ||||
\(905\) | 4.49921 | + | 2.55109i | 0.149559 | + | 0.0848010i | ||||
\(906\) | 0.499106 | − | 1.75629i | 0.0165817 | − | 0.0583487i | ||||
\(907\) | −14.8195 | − | 14.8195i | −0.492073 | − | 0.492073i | 0.416886 | − | 0.908959i | \(-0.363121\pi\) |
−0.908959 | + | 0.416886i | \(0.863121\pi\) | |||||||
\(908\) | 36.7378 | − | 8.66518i | 1.21919 | − | 0.287564i | ||||
\(909\) | − | 17.7041i | − | 0.587206i | ||||||
\(910\) | −0.421432 | − | 0.00307338i | −0.0139703 | − | 0.000101881i | ||||
\(911\) | 42.8142i | 1.41850i | 0.704958 | + | 0.709249i | \(0.250966\pi\) | ||||
−0.704958 | + | 0.709249i | \(0.749034\pi\) | |||||||
\(912\) | 26.2850 | + | 8.77288i | 0.870384 | + | 0.290499i | ||||
\(913\) | 22.5079 | + | 22.5079i | 0.744904 | + | 0.744904i | ||||
\(914\) | 41.2951 | + | 11.7353i | 1.36592 | + | 0.388171i | ||||
\(915\) | 58.6729 | − | 16.2123i | 1.93967 | − | 0.535963i | ||||
\(916\) | 17.4249 | + | 10.7738i | 0.575735 | + | 0.355976i | ||||
\(917\) | 0.643317 | − | 0.643317i | 0.0212442 | − | 0.0212442i | ||||
\(918\) | −6.46989 | − | 11.6070i | −0.213538 | − | 0.383089i | ||||
\(919\) | −0.952930 | −0.0314343 | −0.0157171 | − | 0.999876i | \(-0.505003\pi\) | ||||
−0.0157171 | + | 0.999876i | \(0.505003\pi\) | |||||||
\(920\) | −38.7756 | + | 8.84783i | −1.27839 | + | 0.291704i | ||||
\(921\) | −47.0435 | −1.55014 | ||||||||
\(922\) | −0.684406 | − | 1.22783i | −0.0225397 | − | 0.0404364i | ||||
\(923\) | 1.29192 | − | 1.29192i | 0.0425241 | − | 0.0425241i | ||||
\(924\) | −1.06703 | − | 0.659746i | −0.0351028 | − | 0.0217040i | ||||
\(925\) | −21.5683 | − | 5.42047i | −0.709162 | − | 0.178224i | ||||
\(926\) | −11.9486 | − | 3.39559i | −0.392656 | − | 0.111586i | ||||
\(927\) | 17.9350 | + | 17.9350i | 0.589062 | + | 0.589062i | ||||
\(928\) | −0.282130 | − | 0.192609i | −0.00926137 | − | 0.00632270i | ||||
\(929\) | − | 15.7889i | − | 0.518017i | −0.965875 | − | 0.259009i | \(-0.916604\pi\) | ||
0.965875 | − | 0.259009i | \(-0.0833958\pi\) | |||||||
\(930\) | 20.0728 | − | 19.7822i | 0.658214 | − | 0.648684i | ||||
\(931\) | 21.4555i | 0.703176i | ||||||||
\(932\) | −15.3866 | + | 3.62917i | −0.504005 | + | 0.118877i | ||||
\(933\) | 20.3812 | + | 20.3812i | 0.667252 | + | 0.667252i | ||||
\(934\) | 0.892764 | − | 3.14151i | 0.0292121 | − | 0.102793i | ||||
\(935\) | 5.64802 | + | 20.4403i | 0.184710 | + | 0.668470i | ||||
\(936\) | 4.34912 | − | 3.97231i | 0.142155 | − | 0.129839i | ||||
\(937\) | −10.1461 | + | 10.1461i | −0.331460 | + | 0.331460i | −0.853141 | − | 0.521681i | \(-0.825305\pi\) |
0.521681 | + | 0.853141i | \(0.325305\pi\) | |||||||
\(938\) | −1.28357 | + | 0.715475i | −0.0419100 | + | 0.0233611i | ||||
\(939\) | −70.5338 | −2.30178 | ||||||||
\(940\) | 33.8720 | + | 9.89336i | 1.10478 | + | 0.322686i | ||||
\(941\) | 20.6305 | 0.672534 | 0.336267 | − | 0.941767i | \(-0.390836\pi\) | ||||
0.336267 | + | 0.941767i | \(0.390836\pi\) | |||||||
\(942\) | 23.3644 | − | 13.0236i | 0.761254 | − | 0.424331i | ||||
\(943\) | −39.0869 | + | 39.0869i | −1.27284 | + | 1.27284i | ||||
\(944\) | −9.70669 | − | 19.4320i | −0.315926 | − | 0.632458i | ||||
\(945\) | 0.304040 | − | 0.536218i | 0.00989042 | − | 0.0174432i | ||||
\(946\) | −7.14929 | + | 25.1574i | −0.232444 | + | 0.817937i | ||||
\(947\) | 8.37641 | + | 8.37641i | 0.272197 | + | 0.272197i | 0.829984 | − | 0.557787i | \(-0.188349\pi\) |
−0.557787 | + | 0.829984i | \(0.688349\pi\) | |||||||
\(948\) | 7.79866 | + | 33.0640i | 0.253289 | + | 1.07387i | ||||
\(949\) | − | 14.8986i | − | 0.483628i | ||||||
\(950\) | 10.8549 | − | 18.8228i | 0.352178 | − | 0.610693i | ||||
\(951\) | 12.0573i | 0.390986i | ||||||||
\(952\) | −1.71060 | − | 0.0774597i | −0.0554409 | − | 0.00251048i | ||||
\(953\) | −28.1813 | − | 28.1813i | −0.912883 | − | 0.912883i | 0.0836152 | − | 0.996498i | \(-0.473353\pi\) |
−0.996498 | + | 0.0836152i | \(0.973353\pi\) | |||||||
\(954\) | −15.4871 | − | 4.40116i | −0.501413 | − | 0.142493i | ||||
\(955\) | 12.3766 | − | 21.8278i | 0.400496 | − | 0.706331i | ||||
\(956\) | 17.3454 | − | 28.0534i | 0.560991 | − | 0.907313i | ||||
\(957\) | −0.200977 | + | 0.200977i | −0.00649666 | + | 0.00649666i | ||||
\(958\) | −11.7412 | − | 21.0639i | −0.379342 | − | 0.680544i | ||||
\(959\) | 2.89423 | 0.0934595 | ||||||||
\(960\) | 39.6836 | − | 7.18383i | 1.28078 | − | 0.231857i | ||||
\(961\) | 15.3727 | 0.495895 | ||||||||
\(962\) | 3.06255 | + | 5.49424i | 0.0987406 | + | 0.177141i | ||||
\(963\) | −15.3846 | + | 15.3846i | −0.495763 | + | 0.495763i | ||||
\(964\) | −16.2550 | + | 26.2899i | −0.523538 | + | 0.846739i | ||||
\(965\) | 3.18585 | + | 11.5297i | 0.102556 | + | 0.371153i | ||||
\(966\) | −2.57027 | − | 0.730426i | −0.0826970 | − | 0.0235011i | ||||
\(967\) | −8.32410 | − | 8.32410i | −0.267685 | − | 0.267685i | 0.560482 | − | 0.828167i | \(-0.310616\pi\) |
−0.828167 | + | 0.560482i | \(0.810616\pi\) | |||||||
\(968\) | −18.7657 | − | 0.849750i | −0.603151 | − | 0.0273120i | ||||
\(969\) | − | 31.4697i | − | 1.01095i | ||||||
\(970\) | 27.9117 | + | 28.3218i | 0.896190 | + | 0.909357i | ||||
\(971\) | 48.7886i | 1.56570i | 0.622210 | + | 0.782851i | \(0.286235\pi\) | ||||
−0.622210 | + | 0.782851i | \(0.713765\pi\) | |||||||
\(972\) | 8.44440 | + | 35.8018i | 0.270854 | + | 1.14834i | ||||
\(973\) | −1.30554 | − | 1.30554i | −0.0418537 | − | 0.0418537i | ||||
\(974\) | −4.75323 | + | 16.7259i | −0.152303 | + | 0.535934i | ||||
\(975\) | −5.78752 | − | 9.67300i | −0.185349 | − | 0.309784i | ||||
\(976\) | −21.5840 | − | 43.2095i | −0.690888 | − | 1.38310i | ||||
\(977\) | 14.8762 | − | 14.8762i | 0.475933 | − | 0.475933i | −0.427895 | − | 0.903828i | \(-0.640745\pi\) |
0.903828 | + | 0.427895i | \(0.140745\pi\) | |||||||
\(978\) | 30.0986 | − | 16.7773i | 0.962448 | − | 0.536479i | ||||
\(979\) | 4.97507 | 0.159004 | ||||||||
\(980\) | 15.0038 | + | 27.3847i | 0.479279 | + | 0.874771i | ||||
\(981\) | 2.10919 | 0.0673412 | ||||||||
\(982\) | 34.8786 | − | 19.4417i | 1.11302 | − | 0.620409i | ||||
\(983\) | 33.3003 | − | 33.3003i | 1.06211 | − | 1.06211i | 0.0641756 | − | 0.997939i | \(-0.479558\pi\) |
0.997939 | − | 0.0641756i | \(-0.0204418\pi\) | |||||||
\(984\) | 41.3859 | − | 37.8002i | 1.31933 | − | 1.20503i | ||||
\(985\) | 32.0747 | − | 8.86280i | 1.02199 | − | 0.282392i | ||||
\(986\) | −0.106050 | + | 0.373175i | −0.00337731 | + | 0.0118843i | ||||
\(987\) | 1.67635 | + | 1.67635i | 0.0533589 | + | 0.0533589i | ||||
\(988\) | −5.98161 | + | 1.41085i | −0.190300 | + | 0.0448853i | ||||
\(989\) | 55.7051i | 1.77132i | ||||||||
\(990\) | 0.100260 | − | 13.7481i | 0.00318648 | − | 0.436942i | ||||
\(991\) | − | 56.4809i | − | 1.79417i | −0.441854 | − | 0.897087i | \(-0.645679\pi\) | ||
0.441854 | − | 0.897087i | \(-0.354321\pi\) | |||||||
\(992\) | −18.4688 | − | 12.6086i | −0.586385 | − | 0.400322i | ||||
\(993\) | −22.3595 | − | 22.3595i | −0.709559 | − | 0.709559i | ||||
\(994\) | 0.331238 | + | 0.0941322i | 0.0105062 | + | 0.00298569i | ||||
\(995\) | 52.2767 | + | 29.6413i | 1.65728 | + | 0.939692i | ||||
\(996\) | −58.4721 | − | 36.1532i | −1.85276 | − | 1.14556i | ||||
\(997\) | 16.8824 | − | 16.8824i | 0.534671 | − | 0.534671i | −0.387288 | − | 0.921959i | \(-0.626588\pi\) |
0.921959 | + | 0.387288i | \(0.126588\pi\) | |||||||
\(998\) | −14.9100 | − | 26.7487i | −0.471969 | − | 0.846716i | ||||
\(999\) | −9.20016 | −0.291080 |
(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 | 260.2.o.a.183.24 | yes | 72 | |
4.3 | odd | 2 | inner | 260.2.o.a.183.7 | yes | 72 | |
5.2 | odd | 4 | inner | 260.2.o.a.27.7 | ✓ | 72 | |
20.7 | even | 4 | inner | 260.2.o.a.27.24 | yes | 72 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
260.2.o.a.27.7 | ✓ | 72 | 5.2 | odd | 4 | inner | |
260.2.o.a.27.24 | yes | 72 | 20.7 | even | 4 | inner | |
260.2.o.a.183.7 | yes | 72 | 4.3 | odd | 2 | inner | |
260.2.o.a.183.24 | yes | 72 | 1.1 | even | 1 | trivial |