Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [560,2,Mod(141,560)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(560, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([0, 3, 0, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("560.141");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 560 = 2^{4} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 560.bd (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: | \(4.47162251319\) |
Analytic rank: | \(0\) |
Dimension: | \(52\) |
Relative dimension: | \(26\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 141.20 | ||
Character | \(\chi\) | \(=\) | 560.141 |
Dual form | 560.2.bd.b.421.20 |
$q$-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 \(\left(\mathbb{Z}/560\mathbb{Z}\right)^\times\).
\(n\) | \(241\) | \(337\) | \(351\) | \(421\) |
\(\chi(n)\) | \(1\) | \(1\) | \(1\) | \(e\left(\frac{3}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.912154 | + | 1.08073i | 0.644991 | + | 0.764191i | ||||
\(3\) | −1.81546 | − | 1.81546i | −1.04816 | − | 1.04816i | −0.998780 | − | 0.0493763i | \(-0.984277\pi\) |
−0.0493763 | − | 0.998780i | \(-0.515723\pi\) | |||||||
\(4\) | −0.335949 | + | 1.97158i | −0.167974 | + | 0.985791i | ||||
\(5\) | −0.707107 | + | 0.707107i | −0.316228 | + | 0.316228i | ||||
\(6\) | 0.306040 | − | 3.61800i | 0.124940 | − | 1.47704i | ||||
\(7\) | 1.00000i | 0.377964i | ||||||||
\(8\) | −2.43718 | + | 1.43532i | −0.861674 | + | 0.507462i | ||||
\(9\) | 3.59179i | 1.19726i | ||||||||
\(10\) | −1.40918 | − | 0.119200i | −0.445622 | − | 0.0376943i | ||||
\(11\) | 2.54671 | − | 2.54671i | 0.767863 | − | 0.767863i | −0.209867 | − | 0.977730i | \(-0.567303\pi\) |
0.977730 | + | 0.209867i | \(0.0673030\pi\) | |||||||
\(12\) | 4.18923 | − | 2.96943i | 1.20933 | − | 0.857200i | ||||
\(13\) | −4.47686 | − | 4.47686i | −1.24166 | − | 1.24166i | −0.959313 | − | 0.282346i | \(-0.908887\pi\) |
−0.282346 | − | 0.959313i | \(-0.591113\pi\) | |||||||
\(14\) | −1.08073 | + | 0.912154i | −0.288837 | + | 0.243784i | ||||
\(15\) | 2.56745 | 0.662912 | ||||||||
\(16\) | −3.77428 | − | 1.32470i | −0.943569 | − | 0.331175i | ||||
\(17\) | −6.94064 | −1.68335 | −0.841676 | − | 0.539983i | \(-0.818431\pi\) | ||||
−0.841676 | + | 0.539983i | \(0.818431\pi\) | |||||||
\(18\) | −3.88175 | + | 3.27627i | −0.914938 | + | 0.772224i | ||||
\(19\) | 0.422385 | + | 0.422385i | 0.0969017 | + | 0.0969017i | 0.753896 | − | 0.656994i | \(-0.228172\pi\) |
−0.656994 | + | 0.753896i | \(0.728172\pi\) | |||||||
\(20\) | −1.15657 | − | 1.63167i | −0.258616 | − | 0.364853i | ||||
\(21\) | 1.81546 | − | 1.81546i | 0.396166 | − | 0.396166i | ||||
\(22\) | 5.07530 | + | 0.429310i | 1.08206 | + | 0.0915293i | ||||
\(23\) | 2.52392i | 0.526273i | 0.964759 | + | 0.263137i | \(0.0847570\pi\) | ||||
−0.964759 | + | 0.263137i | \(0.915243\pi\) | |||||||
\(24\) | 7.03037 | + | 1.81885i | 1.43507 | + | 0.371270i | ||||
\(25\) | − | 1.00000i | − | 0.200000i | ||||||
\(26\) | 0.754684 | − | 8.92187i | 0.148006 | − | 1.74972i | ||||
\(27\) | 1.07438 | − | 1.07438i | 0.206764 | − | 0.206764i | ||||
\(28\) | −1.97158 | − | 0.335949i | −0.372594 | − | 0.0634883i | ||||
\(29\) | −5.14200 | − | 5.14200i | −0.954846 | − | 0.954846i | 0.0441776 | − | 0.999024i | \(-0.485933\pi\) |
−0.999024 | + | 0.0441776i | \(0.985933\pi\) | |||||||
\(30\) | 2.34191 | + | 2.77472i | 0.427572 | + | 0.506591i | ||||
\(31\) | −4.19574 | −0.753578 | −0.376789 | − | 0.926299i | \(-0.622972\pi\) | ||||
−0.376789 | + | 0.926299i | \(0.622972\pi\) | |||||||
\(32\) | −2.01108 | − | 5.28730i | −0.355512 | − | 0.934672i | ||||
\(33\) | −9.24692 | −1.60968 | ||||||||
\(34\) | −6.33093 | − | 7.50095i | −1.08575 | − | 1.28640i | ||||
\(35\) | −0.707107 | − | 0.707107i | −0.119523 | − | 0.119523i | ||||
\(36\) | −7.08152 | − | 1.20666i | −1.18025 | − | 0.201110i | ||||
\(37\) | −0.793799 | + | 0.793799i | −0.130500 | + | 0.130500i | −0.769340 | − | 0.638840i | \(-0.779415\pi\) |
0.638840 | + | 0.769340i | \(0.279415\pi\) | |||||||
\(38\) | −0.0712032 | + | 0.841763i | −0.0115507 | + | 0.136552i | ||||
\(39\) | 16.2551i | 2.60291i | ||||||||
\(40\) | 0.708425 | − | 2.73827i | 0.112012 | − | 0.432959i | ||||
\(41\) | − | 5.99164i | − | 0.935736i | −0.883798 | − | 0.467868i | \(-0.845022\pi\) | ||
0.883798 | − | 0.467868i | \(-0.154978\pi\) | |||||||
\(42\) | 3.61800 | + | 0.306040i | 0.558270 | + | 0.0472230i | ||||
\(43\) | 2.47186 | − | 2.47186i | 0.376954 | − | 0.376954i | −0.493048 | − | 0.870002i | \(-0.664117\pi\) |
0.870002 | + | 0.493048i | \(0.164117\pi\) | |||||||
\(44\) | 4.16549 | + | 5.87662i | 0.627972 | + | 0.885934i | ||||
\(45\) | −2.53978 | − | 2.53978i | −0.378608 | − | 0.378608i | ||||
\(46\) | −2.72767 | + | 2.30220i | −0.402173 | + | 0.339441i | ||||
\(47\) | −1.71220 | −0.249750 | −0.124875 | − | 0.992173i | \(-0.539853\pi\) | ||||
−0.124875 | + | 0.992173i | \(0.539853\pi\) | |||||||
\(48\) | 4.44711 | + | 9.25699i | 0.641885 | + | 1.33613i | ||||
\(49\) | −1.00000 | −0.142857 | ||||||||
\(50\) | 1.08073 | − | 0.912154i | 0.152838 | − | 0.128998i | ||||
\(51\) | 12.6005 | + | 12.6005i | 1.76442 | + | 1.76442i | ||||
\(52\) | 10.3305 | − | 7.32251i | 1.43258 | − | 1.01545i | ||||
\(53\) | −4.42723 | + | 4.42723i | −0.608127 | + | 0.608127i | −0.942456 | − | 0.334329i | \(-0.891490\pi\) |
0.334329 | + | 0.942456i | \(0.391490\pi\) | |||||||
\(54\) | 2.14111 | + | 0.181112i | 0.291368 | + | 0.0246463i | ||||
\(55\) | 3.60160i | 0.485639i | ||||||||
\(56\) | −1.43532 | − | 2.43718i | −0.191803 | − | 0.325682i | ||||
\(57\) | − | 1.53365i | − | 0.203136i | ||||||
\(58\) | 0.866809 | − | 10.2474i | 0.113818 | − | 1.34555i | ||||
\(59\) | 5.91194 | − | 5.91194i | 0.769669 | − | 0.769669i | −0.208379 | − | 0.978048i | \(-0.566819\pi\) |
0.978048 | + | 0.208379i | \(0.0668189\pi\) | |||||||
\(60\) | −0.862531 | + | 5.06194i | −0.111352 | + | 0.653493i | ||||
\(61\) | 6.31741 | + | 6.31741i | 0.808862 | + | 0.808862i | 0.984462 | − | 0.175600i | \(-0.0561865\pi\) |
−0.175600 | + | 0.984462i | \(0.556186\pi\) | |||||||
\(62\) | −3.82717 | − | 4.53446i | −0.486051 | − | 0.575877i | ||||
\(63\) | −3.59179 | −0.452523 | ||||||||
\(64\) | 3.87972 | − | 6.99627i | 0.484965 | − | 0.874533i | ||||
\(65\) | 6.33124 | 0.785294 | ||||||||
\(66\) | −8.43462 | − | 9.99341i | −1.03823 | − | 1.23010i | ||||
\(67\) | −2.86753 | − | 2.86753i | −0.350325 | − | 0.350325i | 0.509906 | − | 0.860230i | \(-0.329680\pi\) |
−0.860230 | + | 0.509906i | \(0.829680\pi\) | |||||||
\(68\) | 2.33170 | − | 13.6840i | 0.282760 | − | 1.65943i | ||||
\(69\) | 4.58207 | − | 4.58207i | 0.551617 | − | 0.551617i | ||||
\(70\) | 0.119200 | − | 1.40918i | 0.0142471 | − | 0.168429i | ||||
\(71\) | 6.72492i | 0.798101i | 0.916929 | + | 0.399050i | \(0.130660\pi\) | ||||
−0.916929 | + | 0.399050i | \(0.869340\pi\) | |||||||
\(72\) | −5.15537 | − | 8.75386i | −0.607566 | − | 1.03165i | ||||
\(73\) | 11.9794i | 1.40209i | 0.713119 | + | 0.701043i | \(0.247282\pi\) | ||||
−0.713119 | + | 0.701043i | \(0.752718\pi\) | |||||||
\(74\) | −1.58195 | − | 0.133814i | −0.183898 | − | 0.0155556i | ||||
\(75\) | −1.81546 | + | 1.81546i | −0.209631 | + | 0.209631i | ||||
\(76\) | −0.974666 | + | 0.690867i | −0.111802 | + | 0.0792479i | ||||
\(77\) | 2.54671 | + | 2.54671i | 0.290225 | + | 0.290225i | ||||
\(78\) | −17.5674 | + | 14.8272i | −1.98912 | + | 1.67885i | ||||
\(79\) | −2.80562 | −0.315657 | −0.157829 | − | 0.987467i | \(-0.550449\pi\) | ||||
−0.157829 | + | 0.987467i | \(0.550449\pi\) | |||||||
\(80\) | 3.60552 | − | 1.73211i | 0.403110 | − | 0.193656i | ||||
\(81\) | 6.87440 | 0.763822 | ||||||||
\(82\) | 6.47533 | − | 5.46530i | 0.715081 | − | 0.603541i | ||||
\(83\) | 10.4832 | + | 10.4832i | 1.15068 | + | 1.15068i | 0.986417 | + | 0.164260i | \(0.0525236\pi\) |
0.164260 | + | 0.986417i | \(0.447476\pi\) | |||||||
\(84\) | 2.96943 | + | 4.18923i | 0.323991 | + | 0.457083i | ||||
\(85\) | 4.90777 | − | 4.90777i | 0.532323 | − | 0.532323i | ||||
\(86\) | 4.92612 | + | 0.416691i | 0.531197 | + | 0.0449330i | ||||
\(87\) | 18.6702i | 2.00166i | ||||||||
\(88\) | −2.55146 | + | 9.86215i | −0.271987 | + | 1.05131i | ||||
\(89\) | 2.53289i | 0.268486i | 0.990948 | + | 0.134243i | \(0.0428602\pi\) | ||||
−0.990948 | + | 0.134243i | \(0.957140\pi\) | |||||||
\(90\) | 0.428142 | − | 5.06149i | 0.0451301 | − | 0.533528i | ||||
\(91\) | 4.47686 | − | 4.47686i | 0.469303 | − | 0.469303i | ||||
\(92\) | −4.97611 | − | 0.847907i | −0.518796 | − | 0.0884004i | ||||
\(93\) | 7.61721 | + | 7.61721i | 0.789868 | + | 0.789868i | ||||
\(94\) | −1.56179 | − | 1.85042i | −0.161086 | − | 0.190856i | ||||
\(95\) | −0.597342 | −0.0612860 | ||||||||
\(96\) | −5.94785 | + | 13.2499i | −0.607050 | + | 1.35231i | ||||
\(97\) | 8.10717 | 0.823158 | 0.411579 | − | 0.911374i | \(-0.364977\pi\) | ||||
0.411579 | + | 0.911374i | \(0.364977\pi\) | |||||||
\(98\) | −0.912154 | − | 1.08073i | −0.0921415 | − | 0.109170i | ||||
\(99\) | 9.14727 | + | 9.14727i | 0.919335 | + | 0.919335i | ||||
\(100\) | 1.97158 | + | 0.335949i | 0.197158 | + | 0.0335949i | ||||
\(101\) | −10.8669 | + | 10.8669i | −1.08130 | + | 1.08130i | −0.0849100 | + | 0.996389i | \(0.527060\pi\) |
−0.996389 | + | 0.0849100i | \(0.972940\pi\) | |||||||
\(102\) | −2.12411 | + | 25.1112i | −0.210318 | + | 2.48638i | ||||
\(103\) | − | 14.9689i | − | 1.47493i | −0.675384 | − | 0.737466i | \(-0.736022\pi\) | ||
0.675384 | − | 0.737466i | \(-0.263978\pi\) | |||||||
\(104\) | 17.3367 | + | 4.48521i | 1.70000 | + | 0.439811i | ||||
\(105\) | 2.56745i | 0.250557i | ||||||||
\(106\) | −8.82296 | − | 0.746318i | −0.856962 | − | 0.0724888i | ||||
\(107\) | 4.24500 | − | 4.24500i | 0.410379 | − | 0.410379i | −0.471491 | − | 0.881871i | \(-0.656284\pi\) |
0.881871 | + | 0.471491i | \(0.156284\pi\) | |||||||
\(108\) | 1.75729 | + | 2.47916i | 0.169095 | + | 0.238557i | ||||
\(109\) | −3.81859 | − | 3.81859i | −0.365754 | − | 0.365754i | 0.500172 | − | 0.865926i | \(-0.333270\pi\) |
−0.865926 | + | 0.500172i | \(0.833270\pi\) | |||||||
\(110\) | −3.89235 | + | 3.28521i | −0.371121 | + | 0.313233i | ||||
\(111\) | 2.88222 | 0.273568 | ||||||||
\(112\) | 1.32470 | − | 3.77428i | 0.125172 | − | 0.356636i | ||||
\(113\) | −18.9272 | −1.78052 | −0.890259 | − | 0.455455i | \(-0.849476\pi\) | ||||
−0.890259 | + | 0.455455i | \(0.849476\pi\) | |||||||
\(114\) | 1.65745 | − | 1.39892i | 0.155235 | − | 0.131021i | ||||
\(115\) | −1.78468 | − | 1.78468i | −0.166422 | − | 0.166422i | ||||
\(116\) | 11.8653 | − | 8.41044i | 1.10167 | − | 0.780889i | ||||
\(117\) | 16.0800 | − | 16.0800i | 1.48659 | − | 1.48659i | ||||
\(118\) | 11.7818 | + | 0.996600i | 1.08460 | + | 0.0917445i | ||||
\(119\) | − | 6.94064i | − | 0.636247i | ||||||
\(120\) | −6.25734 | + | 3.68511i | −0.571215 | + | 0.336403i | ||||
\(121\) | − | 1.97151i | − | 0.179228i | ||||||
\(122\) | −1.06495 | + | 12.5899i | −0.0964163 | + | 1.13983i | ||||
\(123\) | −10.8776 | + | 10.8776i | −0.980798 | + | 0.980798i | ||||
\(124\) | 1.40955 | − | 8.27226i | 0.126582 | − | 0.742870i | ||||
\(125\) | 0.707107 | + | 0.707107i | 0.0632456 | + | 0.0632456i | ||||
\(126\) | −3.27627 | − | 3.88175i | −0.291873 | − | 0.345814i | ||||
\(127\) | 1.13143 | 0.100399 | 0.0501993 | − | 0.998739i | \(-0.484014\pi\) | ||||
0.0501993 | + | 0.998739i | \(0.484014\pi\) | |||||||
\(128\) | 11.1000 | − | 2.18875i | 0.981108 | − | 0.193460i | ||||
\(129\) | −8.97511 | −0.790215 | ||||||||
\(130\) | 5.77507 | + | 6.84236i | 0.506507 | + | 0.600114i | ||||
\(131\) | −1.90954 | − | 1.90954i | −0.166837 | − | 0.166837i | 0.618751 | − | 0.785588i | \(-0.287639\pi\) |
−0.785588 | + | 0.618751i | \(0.787639\pi\) | |||||||
\(132\) | 3.10649 | − | 18.2311i | 0.270385 | − | 1.58681i | ||||
\(133\) | −0.422385 | + | 0.422385i | −0.0366254 | + | 0.0366254i | ||||
\(134\) | 0.483392 | − | 5.71465i | 0.0417587 | − | 0.493671i | ||||
\(135\) | 1.51940i | 0.130769i | ||||||||
\(136\) | 16.9156 | − | 9.96203i | 1.45050 | − | 0.854237i | ||||
\(137\) | − | 17.0771i | − | 1.45900i | −0.683983 | − | 0.729498i | \(-0.739754\pi\) | ||
0.683983 | − | 0.729498i | \(-0.260246\pi\) | |||||||
\(138\) | 9.13154 | + | 0.772420i | 0.777328 | + | 0.0657527i | ||||
\(139\) | 11.0354 | − | 11.0354i | 0.936008 | − | 0.936008i | −0.0620644 | − | 0.998072i | \(-0.519768\pi\) |
0.998072 | + | 0.0620644i | \(0.0197684\pi\) | |||||||
\(140\) | 1.63167 | − | 1.15657i | 0.137901 | − | 0.0977478i | ||||
\(141\) | 3.10843 | + | 3.10843i | 0.261777 | + | 0.261777i | ||||
\(142\) | −7.26781 | + | 6.13416i | −0.609901 | + | 0.514768i | ||||
\(143\) | −22.8026 | −1.90685 | ||||||||
\(144\) | 4.75805 | − | 13.5564i | 0.396504 | − | 1.12970i | ||||
\(145\) | 7.27189 | 0.603898 | ||||||||
\(146\) | −12.9465 | + | 10.9271i | −1.07146 | + | 0.904332i | ||||
\(147\) | 1.81546 | + | 1.81546i | 0.149737 | + | 0.149737i | ||||
\(148\) | −1.29836 | − | 1.83172i | −0.106725 | − | 0.150566i | ||||
\(149\) | −5.52861 | + | 5.52861i | −0.452921 | + | 0.452921i | −0.896323 | − | 0.443402i | \(-0.853771\pi\) |
0.443402 | + | 0.896323i | \(0.353771\pi\) | |||||||
\(150\) | −3.61800 | − | 0.306040i | −0.295408 | − | 0.0249880i | ||||
\(151\) | 17.6067i | 1.43281i | 0.697683 | + | 0.716407i | \(0.254214\pi\) | ||||
−0.697683 | + | 0.716407i | \(0.745786\pi\) | |||||||
\(152\) | −1.63569 | − | 0.423172i | −0.132672 | − | 0.0343238i | ||||
\(153\) | − | 24.9293i | − | 2.01542i | ||||||
\(154\) | −0.429310 | + | 5.07530i | −0.0345948 | + | 0.408980i | ||||
\(155\) | 2.96684 | − | 2.96684i | 0.238302 | − | 0.238302i | ||||
\(156\) | −32.0484 | − | 5.46089i | −2.56592 | − | 0.437221i | ||||
\(157\) | −2.90009 | − | 2.90009i | −0.231452 | − | 0.231452i | 0.581846 | − | 0.813299i | \(-0.302330\pi\) |
−0.813299 | + | 0.581846i | \(0.802330\pi\) | |||||||
\(158\) | −2.55916 | − | 3.03212i | −0.203596 | − | 0.241222i | ||||
\(159\) | 16.0749 | 1.27483 | ||||||||
\(160\) | 5.16074 | + | 2.31664i | 0.407992 | + | 0.183146i | ||||
\(161\) | −2.52392 | −0.198913 | ||||||||
\(162\) | 6.27052 | + | 7.42936i | 0.492658 | + | 0.583706i | ||||
\(163\) | −7.00743 | − | 7.00743i | −0.548864 | − | 0.548864i | 0.377248 | − | 0.926112i | \(-0.376870\pi\) |
−0.926112 | + | 0.377248i | \(0.876870\pi\) | |||||||
\(164\) | 11.8130 | + | 2.01288i | 0.922441 | + | 0.157180i | ||||
\(165\) | 6.53856 | − | 6.53856i | 0.509026 | − | 0.509026i | ||||
\(166\) | −1.76719 | + | 20.8917i | −0.137161 | + | 1.62151i | ||||
\(167\) | 16.2345i | 1.25627i | 0.778106 | + | 0.628133i | \(0.216181\pi\) | ||||
−0.778106 | + | 0.628133i | \(0.783819\pi\) | |||||||
\(168\) | −1.81885 | + | 7.03037i | −0.140327 | + | 0.542405i | ||||
\(169\) | 27.0846i | 2.08343i | ||||||||
\(170\) | 9.78062 | + | 0.827324i | 0.750139 | + | 0.0634528i | ||||
\(171\) | −1.51712 | + | 1.51712i | −0.116017 | + | 0.116017i | ||||
\(172\) | 4.04305 | + | 5.70388i | 0.308280 | + | 0.434917i | ||||
\(173\) | −16.5096 | − | 16.5096i | −1.25520 | − | 1.25520i | −0.953357 | − | 0.301844i | \(-0.902398\pi\) |
−0.301844 | − | 0.953357i | \(-0.597602\pi\) | |||||||
\(174\) | −20.1774 | + | 17.0301i | −1.52965 | + | 1.29105i | ||||
\(175\) | 1.00000 | 0.0755929 | ||||||||
\(176\) | −12.9856 | + | 6.23837i | −0.978829 | + | 0.470235i | ||||
\(177\) | −21.4658 | −1.61347 | ||||||||
\(178\) | −2.73737 | + | 2.31039i | −0.205174 | + | 0.173171i | ||||
\(179\) | −9.36773 | − | 9.36773i | −0.700177 | − | 0.700177i | 0.264271 | − | 0.964448i | \(-0.414869\pi\) |
−0.964448 | + | 0.264271i | \(0.914869\pi\) | |||||||
\(180\) | 5.86063 | − | 4.15415i | 0.436825 | − | 0.309632i | ||||
\(181\) | 13.1534 | − | 13.1534i | 0.977684 | − | 0.977684i | −0.0220723 | − | 0.999756i | \(-0.507026\pi\) |
0.999756 | + | 0.0220723i | \(0.00702639\pi\) | |||||||
\(182\) | 8.92187 | + | 0.754684i | 0.661333 | + | 0.0559409i | ||||
\(183\) | − | 22.9380i | − | 1.69563i | ||||||
\(184\) | −3.62263 | − | 6.15125i | −0.267064 | − | 0.453476i | ||||
\(185\) | − | 1.12260i | − | 0.0825353i | ||||||
\(186\) | −1.28406 | + | 15.1802i | −0.0941522 | + | 1.11307i | ||||
\(187\) | −17.6758 | + | 17.6758i | −1.29258 | + | 1.29258i | ||||
\(188\) | 0.575210 | − | 3.37574i | 0.0419515 | − | 0.246201i | ||||
\(189\) | 1.07438 | + | 1.07438i | 0.0781494 | + | 0.0781494i | ||||
\(190\) | −0.544868 | − | 0.645565i | −0.0395289 | − | 0.0468342i | ||||
\(191\) | −18.4360 | −1.33398 | −0.666992 | − | 0.745065i | \(-0.732418\pi\) | ||||
−0.666992 | + | 0.745065i | \(0.732418\pi\) | |||||||
\(192\) | −19.7449 | + | 5.65797i | −1.42497 | + | 0.408329i | ||||
\(193\) | 5.73208 | 0.412604 | 0.206302 | − | 0.978488i | \(-0.433857\pi\) | ||||
0.206302 | + | 0.978488i | \(0.433857\pi\) | |||||||
\(194\) | 7.39499 | + | 8.76165i | 0.530929 | + | 0.629050i | ||||
\(195\) | −11.4941 | − | 11.4941i | −0.823111 | − | 0.823111i | ||||
\(196\) | 0.335949 | − | 1.97158i | 0.0239963 | − | 0.140827i | ||||
\(197\) | −1.72742 | + | 1.72742i | −0.123074 | + | 0.123074i | −0.765961 | − | 0.642887i | \(-0.777736\pi\) |
0.642887 | + | 0.765961i | \(0.277736\pi\) | |||||||
\(198\) | −1.54199 | + | 18.2294i | −0.109585 | + | 1.29551i | ||||
\(199\) | 17.8793i | 1.26743i | 0.773565 | + | 0.633717i | \(0.218471\pi\) | ||||
−0.773565 | + | 0.633717i | \(0.781529\pi\) | |||||||
\(200\) | 1.43532 | + | 2.43718i | 0.101492 | + | 0.172335i | ||||
\(201\) | 10.4118i | 0.734390i | ||||||||
\(202\) | −21.6565 | − | 1.83188i | −1.52375 | − | 0.128891i | ||||
\(203\) | 5.14200 | − | 5.14200i | 0.360898 | − | 0.360898i | ||||
\(204\) | −29.0759 | + | 20.6097i | −2.03572 | + | 1.44297i | ||||
\(205\) | 4.23673 | + | 4.23673i | 0.295906 | + | 0.295906i | ||||
\(206\) | 16.1773 | − | 13.6540i | 1.12713 | − | 0.951317i | ||||
\(207\) | −9.06539 | −0.630088 | ||||||||
\(208\) | 10.9664 | + | 22.8274i | 0.760384 | + | 1.58280i | ||||
\(209\) | 2.15139 | 0.148815 | ||||||||
\(210\) | −2.77472 | + | 2.34191i | −0.191474 | + | 0.161607i | ||||
\(211\) | −14.0989 | − | 14.0989i | −0.970606 | − | 0.970606i | 0.0289744 | − | 0.999580i | \(-0.490776\pi\) |
−0.999580 | + | 0.0289744i | \(0.990776\pi\) | |||||||
\(212\) | −7.24134 | − | 10.2160i | −0.497337 | − | 0.701637i | ||||
\(213\) | 12.2088 | − | 12.2088i | 0.836535 | − | 0.836535i | ||||
\(214\) | 8.45978 | + | 0.715597i | 0.578299 | + | 0.0489172i | ||||
\(215\) | 3.49573i | 0.238407i | ||||||||
\(216\) | −1.07638 | + | 4.16053i | −0.0732384 | + | 0.283088i | ||||
\(217\) | − | 4.19574i | − | 0.284826i | ||||||
\(218\) | 0.643716 | − | 7.61000i | 0.0435979 | − | 0.515414i | ||||
\(219\) | 21.7482 | − | 21.7482i | 1.46960 | − | 1.46960i | ||||
\(220\) | −7.10085 | − | 1.20995i | −0.478739 | − | 0.0815749i | ||||
\(221\) | 31.0723 | + | 31.0723i | 2.09015 | + | 2.09015i | ||||
\(222\) | 2.62903 | + | 3.11490i | 0.176449 | + | 0.209058i | ||||
\(223\) | 23.1771 | 1.55205 | 0.776027 | − | 0.630699i | \(-0.217232\pi\) | ||||
0.776027 | + | 0.630699i | \(0.217232\pi\) | |||||||
\(224\) | 5.28730 | − | 2.01108i | 0.353273 | − | 0.134371i | ||||
\(225\) | 3.59179 | 0.239453 | ||||||||
\(226\) | −17.2645 | − | 20.4551i | −1.14842 | − | 1.36065i | ||||
\(227\) | −13.0632 | − | 13.0632i | −0.867033 | − | 0.867033i | 0.125110 | − | 0.992143i | \(-0.460072\pi\) |
−0.992143 | + | 0.125110i | \(0.960072\pi\) | |||||||
\(228\) | 3.02371 | + | 0.515226i | 0.200250 | + | 0.0341217i | ||||
\(229\) | −12.1266 | + | 12.1266i | −0.801349 | + | 0.801349i | −0.983306 | − | 0.181957i | \(-0.941757\pi\) |
0.181957 | + | 0.983306i | \(0.441757\pi\) | |||||||
\(230\) | 0.300851 | − | 3.55666i | 0.0198375 | − | 0.234519i | ||||
\(231\) | − | 9.24692i | − | 0.608403i | ||||||
\(232\) | 19.9124 | + | 5.15159i | 1.30731 | + | 0.338218i | ||||
\(233\) | − | 24.8161i | − | 1.62576i | −0.582433 | − | 0.812879i | \(-0.697899\pi\) | ||
0.582433 | − | 0.812879i | \(-0.302101\pi\) | |||||||
\(234\) | 32.0455 | + | 2.71067i | 2.09488 | + | 0.177202i | ||||
\(235\) | 1.21071 | − | 1.21071i | 0.0789778 | − | 0.0789778i | ||||
\(236\) | 9.66976 | + | 13.6420i | 0.629448 | + | 0.888017i | ||||
\(237\) | 5.09350 | + | 5.09350i | 0.330858 | + | 0.330858i | ||||
\(238\) | 7.50095 | − | 6.33093i | 0.486214 | − | 0.410373i | ||||
\(239\) | 16.3724 | 1.05905 | 0.529523 | − | 0.848296i | \(-0.322371\pi\) | ||||
0.529523 | + | 0.848296i | \(0.322371\pi\) | |||||||
\(240\) | −9.69026 | − | 3.40110i | −0.625504 | − | 0.219540i | ||||
\(241\) | −4.15685 | −0.267766 | −0.133883 | − | 0.990997i | \(-0.542745\pi\) | ||||
−0.133883 | + | 0.990997i | \(0.542745\pi\) | |||||||
\(242\) | 2.13066 | − | 1.79832i | 0.136964 | − | 0.115600i | ||||
\(243\) | −15.7033 | − | 15.7033i | −1.00737 | − | 1.00737i | ||||
\(244\) | −14.5776 | + | 10.3330i | −0.933237 | + | 0.661501i | ||||
\(245\) | 0.707107 | − | 0.707107i | 0.0451754 | − | 0.0451754i | ||||
\(246\) | −21.6777 | − | 1.83368i | −1.38212 | − | 0.116911i | ||||
\(247\) | − | 3.78192i | − | 0.240638i | ||||||
\(248\) | 10.2258 | − | 6.02223i | 0.649339 | − | 0.382412i | ||||
\(249\) | − | 38.0635i | − | 2.41218i | ||||||
\(250\) | −0.119200 | + | 1.40918i | −0.00753887 | + | 0.0891244i | ||||
\(251\) | −19.0523 | + | 19.0523i | −1.20257 | + | 1.20257i | −0.229190 | + | 0.973382i | \(0.573608\pi\) |
−0.973382 | + | 0.229190i | \(0.926392\pi\) | |||||||
\(252\) | 1.20666 | − | 7.08152i | 0.0760123 | − | 0.446094i | ||||
\(253\) | 6.42770 | + | 6.42770i | 0.404106 | + | 0.404106i | ||||
\(254\) | 1.03204 | + | 1.22277i | 0.0647561 | + | 0.0767236i | ||||
\(255\) | −17.8197 | −1.11591 | ||||||||
\(256\) | 12.4903 | + | 9.99958i | 0.780646 | + | 0.624974i | ||||
\(257\) | −23.4022 | −1.45979 | −0.729896 | − | 0.683558i | \(-0.760432\pi\) | ||||
−0.729896 | + | 0.683558i | \(0.760432\pi\) | |||||||
\(258\) | −8.18669 | − | 9.69966i | −0.509681 | − | 0.603875i | ||||
\(259\) | −0.793799 | − | 0.793799i | −0.0493243 | − | 0.0493243i | ||||
\(260\) | −2.12697 | + | 12.4826i | −0.131909 | + | 0.774136i | ||||
\(261\) | 18.4690 | − | 18.4690i | 1.14320 | − | 1.14320i | ||||
\(262\) | 0.321899 | − | 3.80548i | 0.0198870 | − | 0.235104i | ||||
\(263\) | − | 0.465779i | − | 0.0287212i | −0.999897 | − | 0.0143606i | \(-0.995429\pi\) | ||
0.999897 | − | 0.0143606i | \(-0.00457127\pi\) | |||||||
\(264\) | 22.5364 | − | 13.2723i | 1.38702 | − | 0.816852i | ||||
\(265\) | − | 6.26106i | − | 0.384614i | ||||||
\(266\) | −0.841763 | − | 0.0712032i | −0.0516118 | − | 0.00436575i | ||||
\(267\) | 4.59836 | − | 4.59836i | 0.281415 | − | 0.281415i | ||||
\(268\) | 6.61691 | − | 4.69023i | 0.404192 | − | 0.286501i | ||||
\(269\) | −13.2699 | − | 13.2699i | −0.809080 | − | 0.809080i | 0.175415 | − | 0.984495i | \(-0.443873\pi\) |
−0.984495 | + | 0.175415i | \(0.943873\pi\) | |||||||
\(270\) | −1.64206 | + | 1.38593i | −0.0999325 | + | 0.0843448i | ||||
\(271\) | 20.8313 | 1.26541 | 0.632707 | − | 0.774391i | \(-0.281944\pi\) | ||||
0.632707 | + | 0.774391i | \(0.281944\pi\) | |||||||
\(272\) | 26.1959 | + | 9.19427i | 1.58836 | + | 0.557485i | ||||
\(273\) | −16.2551 | −0.983806 | ||||||||
\(274\) | 18.4557 | − | 15.5770i | 1.11495 | − | 0.941038i | ||||
\(275\) | −2.54671 | − | 2.54671i | −0.153573 | − | 0.153573i | ||||
\(276\) | 7.49460 | + | 10.5733i | 0.451122 | + | 0.636437i | ||||
\(277\) | 17.0034 | − | 17.0034i | 1.02164 | − | 1.02164i | 0.0218756 | − | 0.999761i | \(-0.493036\pi\) |
0.999761 | − | 0.0218756i | \(-0.00696377\pi\) | |||||||
\(278\) | 21.9922 | + | 1.86028i | 1.31900 | + | 0.111572i | ||||
\(279\) | − | 15.0702i | − | 0.902232i | ||||||
\(280\) | 2.73827 | + | 0.708425i | 0.163643 | + | 0.0423365i | ||||
\(281\) | 18.2067i | 1.08612i | 0.839693 | + | 0.543061i | \(0.182735\pi\) | ||||
−0.839693 | + | 0.543061i | \(0.817265\pi\) | |||||||
\(282\) | −0.524000 | + | 6.19473i | −0.0312038 | + | 0.368891i | ||||
\(283\) | 0.993068 | − | 0.993068i | 0.0590318 | − | 0.0590318i | −0.676975 | − | 0.736006i | \(-0.736709\pi\) |
0.736006 | + | 0.676975i | \(0.236709\pi\) | |||||||
\(284\) | −13.2587 | − | 2.25923i | −0.786761 | − | 0.134060i | ||||
\(285\) | 1.08445 | + | 1.08445i | 0.0642374 | + | 0.0642374i | ||||
\(286\) | −20.7995 | − | 24.6434i | −1.22990 | − | 1.45720i | ||||
\(287\) | 5.99164 | 0.353675 | ||||||||
\(288\) | 18.9909 | − | 7.22339i | 1.11905 | − | 0.425642i | ||||
\(289\) | 31.1725 | 1.83367 | ||||||||
\(290\) | 6.63309 | + | 7.85894i | 0.389508 | + | 0.461493i | ||||
\(291\) | −14.7182 | − | 14.7182i | −0.862799 | − | 0.862799i | ||||
\(292\) | −23.6184 | − | 4.02447i | −1.38216 | − | 0.235514i | ||||
\(293\) | 2.21860 | − | 2.21860i | 0.129612 | − | 0.129612i | −0.639325 | − | 0.768937i | \(-0.720786\pi\) |
0.768937 | + | 0.639325i | \(0.220786\pi\) | |||||||
\(294\) | −0.306040 | + | 3.61800i | −0.0178486 | + | 0.211006i | ||||
\(295\) | 8.36074i | 0.486781i | ||||||||
\(296\) | 0.795279 | − | 3.07399i | 0.0462246 | − | 0.178672i | ||||
\(297\) | − | 5.47226i | − | 0.317533i | ||||||
\(298\) | −11.0179 | − | 0.931981i | −0.638248 | − | 0.0539882i | ||||
\(299\) | 11.2992 | − | 11.2992i | 0.653452 | − | 0.653452i | ||||
\(300\) | −2.96943 | − | 4.18923i | −0.171440 | − | 0.241865i | ||||
\(301\) | 2.47186 | + | 2.47186i | 0.142475 | + | 0.142475i | ||||
\(302\) | −19.0281 | + | 16.0600i | −1.09494 | + | 0.924151i | ||||
\(303\) | 39.4569 | 2.26674 | ||||||||
\(304\) | −1.03466 | − | 2.15373i | −0.0593420 | − | 0.123525i | ||||
\(305\) | −8.93417 | −0.511569 | ||||||||
\(306\) | 26.9418 | − | 22.7394i | 1.54016 | − | 1.29993i | ||||
\(307\) | 21.1972 | + | 21.1972i | 1.20979 | + | 1.20979i | 0.971096 | + | 0.238690i | \(0.0767179\pi\) |
0.238690 | + | 0.971096i | \(0.423282\pi\) | |||||||
\(308\) | −5.87662 | + | 4.16549i | −0.334852 | + | 0.237351i | ||||
\(309\) | −27.1755 | + | 27.1755i | −1.54596 | + | 1.54596i | ||||
\(310\) | 5.91256 | + | 0.500132i | 0.335811 | + | 0.0284056i | ||||
\(311\) | − | 11.3674i | − | 0.644588i | −0.946640 | − | 0.322294i | \(-0.895546\pi\) | ||
0.946640 | − | 0.322294i | \(-0.104454\pi\) | |||||||
\(312\) | −23.3313 | − | 39.6168i | −1.32088 | − | 2.24286i | ||||
\(313\) | − | 2.83021i | − | 0.159973i | −0.996796 | − | 0.0799865i | \(-0.974512\pi\) | ||
0.996796 | − | 0.0799865i | \(-0.0254877\pi\) | |||||||
\(314\) | 0.488880 | − | 5.77954i | 0.0275891 | − | 0.326158i | ||||
\(315\) | 2.53978 | − | 2.53978i | 0.143100 | − | 0.143100i | ||||
\(316\) | 0.942545 | − | 5.53152i | 0.0530223 | − | 0.311172i | ||||
\(317\) | 20.6711 | + | 20.6711i | 1.16101 | + | 1.16101i | 0.984256 | + | 0.176751i | \(0.0565588\pi\) |
0.176751 | + | 0.984256i | \(0.443441\pi\) | |||||||
\(318\) | 14.6628 | + | 17.3726i | 0.822250 | + | 0.974210i | ||||
\(319\) | −26.1904 | −1.46638 | ||||||||
\(320\) | 2.20373 | + | 7.69049i | 0.123192 | + | 0.429911i | ||||
\(321\) | −15.4132 | −0.860283 | ||||||||
\(322\) | −2.30220 | − | 2.72767i | −0.128297 | − | 0.152007i | ||||
\(323\) | −2.93162 | − | 2.93162i | −0.163120 | − | 0.163120i | ||||
\(324\) | −2.30945 | + | 13.5535i | −0.128303 | + | 0.752969i | ||||
\(325\) | −4.47686 | + | 4.47686i | −0.248332 | + | 0.248332i | ||||
\(326\) | 1.18127 | − | 13.9650i | 0.0654246 | − | 0.773449i | ||||
\(327\) | 13.8650i | 0.766736i | ||||||||
\(328\) | 8.59991 | + | 14.6027i | 0.474850 | + | 0.806300i | ||||
\(329\) | − | 1.71220i | − | 0.0943965i | ||||||
\(330\) | 13.0306 | + | 1.10223i | 0.717310 | + | 0.0606759i | ||||
\(331\) | 10.2473 | − | 10.2473i | 0.563241 | − | 0.563241i | −0.366986 | − | 0.930227i | \(-0.619610\pi\) |
0.930227 | + | 0.366986i | \(0.119610\pi\) | |||||||
\(332\) | −24.1902 | + | 17.1466i | −1.32761 | + | 0.941043i | ||||
\(333\) | −2.85116 | − | 2.85116i | −0.156243 | − | 0.156243i | ||||
\(334\) | −17.5451 | + | 14.8084i | −0.960027 | + | 0.810280i | ||||
\(335\) | 4.05530 | 0.221565 | ||||||||
\(336\) | −9.25699 | + | 4.44711i | −0.505010 | + | 0.242610i | ||||
\(337\) | 18.3870 | 1.00161 | 0.500803 | − | 0.865561i | \(-0.333038\pi\) | ||||
0.500803 | + | 0.865561i | \(0.333038\pi\) | |||||||
\(338\) | −29.2711 | + | 24.7054i | −1.59214 | + | 1.34380i | ||||
\(339\) | 34.3615 | + | 34.3615i | 1.86626 | + | 1.86626i | ||||
\(340\) | 8.02732 | + | 11.3248i | 0.435343 | + | 0.614176i | ||||
\(341\) | −10.6854 | + | 10.6854i | −0.578645 | + | 0.578645i | ||||
\(342\) | −3.02344 | − | 0.255747i | −0.163489 | − | 0.0138292i | ||||
\(343\) | − | 1.00000i | − | 0.0539949i | ||||||
\(344\) | −2.47646 | + | 9.57227i | −0.133522 | + | 0.516102i | ||||
\(345\) | 6.48003i | 0.348873i | ||||||||
\(346\) | 2.78309 | − | 32.9017i | 0.149620 | − | 1.76881i | ||||
\(347\) | 6.05275 | − | 6.05275i | 0.324929 | − | 0.324929i | −0.525726 | − | 0.850654i | \(-0.676206\pi\) |
0.850654 | + | 0.525726i | \(0.176206\pi\) | |||||||
\(348\) | −36.8099 | − | 6.27223i | −1.97322 | − | 0.336227i | ||||
\(349\) | −12.0786 | − | 12.0786i | −0.646551 | − | 0.646551i | 0.305607 | − | 0.952158i | \(-0.401141\pi\) |
−0.952158 | + | 0.305607i | \(0.901141\pi\) | |||||||
\(350\) | 0.912154 | + | 1.08073i | 0.0487567 | + | 0.0577674i | ||||
\(351\) | −9.61968 | −0.513461 | ||||||||
\(352\) | −18.5869 | − | 8.34360i | −0.990685 | − | 0.444715i | ||||
\(353\) | −18.4927 | −0.984270 | −0.492135 | − | 0.870519i | \(-0.663783\pi\) | ||||
−0.492135 | + | 0.870519i | \(0.663783\pi\) | |||||||
\(354\) | −19.5801 | − | 23.1987i | −1.04067 | − | 1.23300i | ||||
\(355\) | −4.75523 | − | 4.75523i | −0.252382 | − | 0.252382i | ||||
\(356\) | −4.99380 | − | 0.850921i | −0.264671 | − | 0.0450987i | ||||
\(357\) | −12.6005 | + | 12.6005i | −0.666887 | + | 0.666887i | ||||
\(358\) | 1.57916 | − | 18.6688i | 0.0834611 | − | 0.986676i | ||||
\(359\) | − | 32.1811i | − | 1.69845i | −0.528028 | − | 0.849227i | \(-0.677069\pi\) | ||
0.528028 | − | 0.849227i | \(-0.322931\pi\) | |||||||
\(360\) | 9.83531 | + | 2.54452i | 0.518366 | + | 0.134108i | ||||
\(361\) | − | 18.6432i | − | 0.981220i | ||||||
\(362\) | 26.2132 | + | 2.21732i | 1.37773 | + | 0.116540i | ||||
\(363\) | −3.57919 | + | 3.57919i | −0.187859 | + | 0.187859i | ||||
\(364\) | 7.32251 | + | 10.3305i | 0.383804 | + | 0.541466i | ||||
\(365\) | −8.47073 | − | 8.47073i | −0.443378 | − | 0.443378i | ||||
\(366\) | 24.7898 | − | 20.9230i | 1.29578 | − | 1.09366i | ||||
\(367\) | 28.6858 | 1.49739 | 0.748695 | − | 0.662915i | \(-0.230681\pi\) | ||||
0.748695 | + | 0.662915i | \(0.230681\pi\) | |||||||
\(368\) | 3.34344 | − | 9.52597i | 0.174289 | − | 0.496575i | ||||
\(369\) | 21.5207 | 1.12032 | ||||||||
\(370\) | 1.21323 | − | 1.02399i | 0.0630727 | − | 0.0532345i | ||||
\(371\) | −4.42723 | − | 4.42723i | −0.229851 | − | 0.229851i | ||||
\(372\) | −17.5769 | + | 12.4590i | −0.911322 | + | 0.645967i | ||||
\(373\) | −7.27067 | + | 7.27067i | −0.376461 | + | 0.376461i | −0.869824 | − | 0.493363i | \(-0.835768\pi\) |
0.493363 | + | 0.869824i | \(0.335768\pi\) | |||||||
\(374\) | −35.2258 | − | 2.97969i | −1.82149 | − | 0.154076i | ||||
\(375\) | − | 2.56745i | − | 0.132582i | ||||||
\(376\) | 4.17294 | − | 2.45755i | 0.215203 | − | 0.126738i | ||||
\(377\) | 46.0401i | 2.37119i | ||||||||
\(378\) | −0.181112 | + | 2.14111i | −0.00931541 | + | 0.110127i | ||||
\(379\) | −2.00688 | + | 2.00688i | −0.103086 | + | 0.103086i | −0.756769 | − | 0.653683i | \(-0.773223\pi\) |
0.653683 | + | 0.756769i | \(0.273223\pi\) | |||||||
\(380\) | 0.200676 | − | 1.17771i | 0.0102945 | − | 0.0604152i | ||||
\(381\) | −2.05407 | − | 2.05407i | −0.105233 | − | 0.105233i | ||||
\(382\) | −16.8165 | − | 19.9243i | −0.860406 | − | 1.01942i | ||||
\(383\) | −6.99740 | −0.357550 | −0.178775 | − | 0.983890i | \(-0.557213\pi\) | ||||
−0.178775 | + | 0.983890i | \(0.557213\pi\) | |||||||
\(384\) | −24.1251 | − | 16.1780i | −1.23113 | − | 0.825579i | ||||
\(385\) | −3.60160 | −0.183554 | ||||||||
\(386\) | 5.22854 | + | 6.19482i | 0.266126 | + | 0.315308i | ||||
\(387\) | 8.87839 | + | 8.87839i | 0.451314 | + | 0.451314i | ||||
\(388\) | −2.72359 | + | 15.9840i | −0.138269 | + | 0.811463i | ||||
\(389\) | −14.8826 | + | 14.8826i | −0.754577 | + | 0.754577i | −0.975330 | − | 0.220753i | \(-0.929149\pi\) |
0.220753 | + | 0.975330i | \(0.429149\pi\) | |||||||
\(390\) | 1.93761 | − | 22.9064i | 0.0981148 | − | 1.15991i | ||||
\(391\) | − | 17.5176i | − | 0.885903i | ||||||
\(392\) | 2.43718 | − | 1.43532i | 0.123096 | − | 0.0724945i | ||||
\(393\) | 6.93338i | 0.349743i | ||||||||
\(394\) | −3.44255 | − | 0.291199i | −0.173433 | − | 0.0146704i | ||||
\(395\) | 1.98387 | − | 1.98387i | 0.0998196 | − | 0.0998196i | ||||
\(396\) | −21.1076 | + | 14.9616i | −1.06070 | + | 0.751848i | ||||
\(397\) | −1.69613 | − | 1.69613i | −0.0851263 | − | 0.0851263i | 0.663261 | − | 0.748388i | \(-0.269172\pi\) |
−0.748388 | + | 0.663261i | \(0.769172\pi\) | |||||||
\(398\) | −19.3227 | + | 16.3087i | −0.968560 | + | 0.817482i | ||||
\(399\) | 1.53365 | 0.0767783 | ||||||||
\(400\) | −1.32470 | + | 3.77428i | −0.0662351 | + | 0.188714i | ||||
\(401\) | −3.40156 | −0.169866 | −0.0849329 | − | 0.996387i | \(-0.527068\pi\) | ||||
−0.0849329 | + | 0.996387i | \(0.527068\pi\) | |||||||
\(402\) | −11.2523 | + | 9.49714i | −0.561214 | + | 0.473675i | ||||
\(403\) | 18.7838 | + | 18.7838i | 0.935687 | + | 0.935687i | ||||
\(404\) | −17.7743 | − | 25.0758i | −0.884304 | − | 1.24757i | ||||
\(405\) | −4.86094 | + | 4.86094i | −0.241542 | + | 0.241542i | ||||
\(406\) | 10.2474 | + | 0.866809i | 0.508571 | + | 0.0430190i | ||||
\(407\) | 4.04316i | 0.200412i | ||||||||
\(408\) | −48.7953 | − | 12.6239i | −2.41573 | − | 0.624978i | ||||
\(409\) | − | 37.5939i | − | 1.85890i | −0.368948 | − | 0.929450i | \(-0.620282\pi\) | ||
0.368948 | − | 0.929450i | \(-0.379718\pi\) | |||||||
\(410\) | −0.714203 | + | 8.44330i | −0.0352720 | + | 0.416985i | ||||
\(411\) | −31.0028 | + | 31.0028i | −1.52926 | + | 1.52926i | ||||
\(412\) | 29.5125 | + | 5.02879i | 1.45398 | + | 0.247751i | ||||
\(413\) | 5.91194 | + | 5.91194i | 0.290907 | + | 0.290907i | ||||
\(414\) | −8.26904 | − | 9.79723i | −0.406401 | − | 0.481508i | ||||
\(415\) | −14.8254 | −0.727752 | ||||||||
\(416\) | −14.6672 | + | 32.6739i | −0.719118 | + | 1.60197i | ||||
\(417\) | −40.0686 | −1.96217 | ||||||||
\(418\) | 1.96240 | + | 2.32507i | 0.0959840 | + | 0.113723i | ||||
\(419\) | −4.51286 | − | 4.51286i | −0.220468 | − | 0.220468i | 0.588228 | − | 0.808695i | \(-0.299826\pi\) |
−0.808695 | + | 0.588228i | \(0.799826\pi\) | |||||||
\(420\) | −5.06194 | − | 0.862531i | −0.246997 | − | 0.0420872i | ||||
\(421\) | −4.26147 | + | 4.26147i | −0.207691 | + | 0.207691i | −0.803285 | − | 0.595594i | \(-0.796917\pi\) |
0.595594 | + | 0.803285i | \(0.296917\pi\) | |||||||
\(422\) | 2.37670 | − | 28.0974i | 0.115696 | − | 1.36776i | ||||
\(423\) | − | 6.14986i | − | 0.299016i | ||||||
\(424\) | 4.43549 | − | 17.1445i | 0.215406 | − | 0.832609i | ||||
\(425\) | 6.94064i | 0.336670i | ||||||||
\(426\) | 24.3308 | + | 2.05809i | 1.17883 | + | 0.0997149i | ||||
\(427\) | −6.31741 | + | 6.31741i | −0.305721 | + | 0.305721i | ||||
\(428\) | 6.94326 | + | 9.79546i | 0.335615 | + | 0.473481i | ||||
\(429\) | 41.3972 | + | 41.3972i | 1.99868 | + | 1.99868i | ||||
\(430\) | −3.77794 | + | 3.18865i | −0.182188 | + | 0.153770i | ||||
\(431\) | −15.1939 | −0.731863 | −0.365932 | − | 0.930642i | \(-0.619250\pi\) | ||||
−0.365932 | + | 0.930642i | \(0.619250\pi\) | |||||||
\(432\) | −5.47823 | + | 2.63177i | −0.263571 | + | 0.126621i | ||||
\(433\) | −26.3375 | −1.26570 | −0.632849 | − | 0.774275i | \(-0.718115\pi\) | ||||
−0.632849 | + | 0.774275i | \(0.718115\pi\) | |||||||
\(434\) | 4.53446 | − | 3.82717i | 0.217661 | − | 0.183710i | ||||
\(435\) | −13.2018 | − | 13.2018i | −0.632979 | − | 0.632979i | ||||
\(436\) | 8.81151 | − | 6.24581i | 0.421995 | − | 0.299120i | ||||
\(437\) | −1.06606 | + | 1.06606i | −0.0509968 | + | 0.0509968i | ||||
\(438\) | 43.3415 | + | 3.66618i | 2.07094 | + | 0.175177i | ||||
\(439\) | − | 6.11953i | − | 0.292069i | −0.989279 | − | 0.146035i | \(-0.953349\pi\) | ||
0.989279 | − | 0.146035i | \(-0.0466511\pi\) | |||||||
\(440\) | −5.16944 | − | 8.77775i | −0.246443 | − | 0.418463i | ||||
\(441\) | − | 3.59179i | − | 0.171038i | ||||||
\(442\) | −5.23799 | + | 61.9235i | −0.249146 | + | 2.94540i | ||||
\(443\) | −14.7639 | + | 14.7639i | −0.701456 | + | 0.701456i | −0.964723 | − | 0.263267i | \(-0.915200\pi\) |
0.263267 | + | 0.964723i | \(0.415200\pi\) | |||||||
\(444\) | −0.968278 | + | 5.68254i | −0.0459525 | + | 0.269681i | ||||
\(445\) | −1.79102 | − | 1.79102i | −0.0849026 | − | 0.0849026i | ||||
\(446\) | 21.1411 | + | 25.0482i | 1.00106 | + | 1.18607i | ||||
\(447\) | 20.0739 | 0.949465 | ||||||||
\(448\) | 6.99627 | + | 3.87972i | 0.330543 | + | 0.183300i | ||||
\(449\) | 12.5904 | 0.594176 | 0.297088 | − | 0.954850i | \(-0.403985\pi\) | ||||
0.297088 | + | 0.954850i | \(0.403985\pi\) | |||||||
\(450\) | 3.27627 | + | 3.88175i | 0.154445 | + | 0.182988i | ||||
\(451\) | −15.2590 | − | 15.2590i | −0.718517 | − | 0.718517i | ||||
\(452\) | 6.35855 | − | 37.3165i | 0.299081 | − | 1.75522i | ||||
\(453\) | 31.9643 | − | 31.9643i | 1.50181 | − | 1.50181i | ||||
\(454\) | 2.20211 | − | 26.0334i | 0.103350 | − | 1.22181i | ||||
\(455\) | 6.33124i | 0.296813i | ||||||||
\(456\) | 2.20127 | + | 3.73778i | 0.103084 | + | 0.175037i | ||||
\(457\) | − | 0.819072i | − | 0.0383146i | −0.999816 | − | 0.0191573i | \(-0.993902\pi\) | ||
0.999816 | − | 0.0191573i | \(-0.00609833\pi\) | |||||||
\(458\) | −24.1669 | − | 2.04423i | −1.12925 | − | 0.0955208i | ||||
\(459\) | −7.45686 | + | 7.45686i | −0.348057 | + | 0.348057i | ||||
\(460\) | 4.11821 | − | 2.91908i | 0.192012 | − | 0.136103i | ||||
\(461\) | 15.3987 | + | 15.3987i | 0.717188 | + | 0.717188i | 0.968028 | − | 0.250841i | \(-0.0807070\pi\) |
−0.250841 | + | 0.968028i | \(0.580707\pi\) | |||||||
\(462\) | 9.99341 | − | 8.43462i | 0.464935 | − | 0.392414i | ||||
\(463\) | −6.23603 | −0.289813 | −0.144906 | − | 0.989445i | \(-0.546288\pi\) | ||||
−0.144906 | + | 0.989445i | \(0.546288\pi\) | |||||||
\(464\) | 12.5957 | + | 26.2190i | 0.584742 | + | 1.21718i | ||||
\(465\) | −10.7724 | −0.499556 | ||||||||
\(466\) | 26.8195 | − | 22.6361i | 1.24239 | − | 1.04860i | ||||
\(467\) | 1.91550 | + | 1.91550i | 0.0886387 | + | 0.0886387i | 0.750036 | − | 0.661397i | \(-0.230036\pi\) |
−0.661397 | + | 0.750036i | \(0.730036\pi\) | |||||||
\(468\) | 26.3010 | + | 37.1050i | 1.21576 | + | 1.71518i | ||||
\(469\) | 2.86753 | − | 2.86753i | 0.132410 | − | 0.132410i | ||||
\(470\) | 2.41280 | + | 0.204094i | 0.111294 | + | 0.00941415i | ||||
\(471\) | 10.5300i | 0.485196i | ||||||||
\(472\) | −5.92296 | + | 22.8940i | −0.272626 | + | 1.05378i | ||||
\(473\) | − | 12.5902i | − | 0.578899i | ||||||
\(474\) | −0.858632 | + | 10.1507i | −0.0394383 | + | 0.466239i | ||||
\(475\) | 0.422385 | − | 0.422385i | 0.0193803 | − | 0.0193803i | ||||
\(476\) | 13.6840 | + | 2.33170i | 0.627207 | + | 0.106873i | ||||
\(477\) | −15.9017 | − | 15.9017i | −0.728089 | − | 0.728089i | ||||
\(478\) | 14.9342 | + | 17.6942i | 0.683074 | + | 0.809313i | ||||
\(479\) | −16.6168 | −0.759240 | −0.379620 | − | 0.925143i | \(-0.623945\pi\) | ||||
−0.379620 | + | 0.925143i | \(0.623945\pi\) | |||||||
\(480\) | −5.16335 | − | 13.5749i | −0.235673 | − | 0.619605i | ||||
\(481\) | 7.10746 | 0.324072 | ||||||||
\(482\) | −3.79169 | − | 4.49243i | −0.172707 | − | 0.204625i | ||||
\(483\) | 4.58207 | + | 4.58207i | 0.208492 | + | 0.208492i | ||||
\(484\) | 3.88699 | + | 0.662325i | 0.176681 | + | 0.0301057i | ||||
\(485\) | −5.73264 | + | 5.73264i | −0.260306 | + | 0.260306i | ||||
\(486\) | 2.64718 | − | 31.2949i | 0.120078 | − | 1.41957i | ||||
\(487\) | − | 0.537219i | − | 0.0243437i | −0.999926 | − | 0.0121719i | \(-0.996125\pi\) | ||
0.999926 | − | 0.0121719i | \(-0.00387452\pi\) | |||||||
\(488\) | −24.4642 | − | 6.32919i | −1.10744 | − | 0.286509i | ||||
\(489\) | 25.4434i | 1.15059i | ||||||||
\(490\) | 1.40918 | + | 0.119200i | 0.0636603 | + | 0.00538491i | ||||
\(491\) | 13.8555 | − | 13.8555i | 0.625288 | − | 0.625288i | −0.321591 | − | 0.946879i | \(-0.604218\pi\) |
0.946879 | + | 0.321591i | \(0.104218\pi\) | |||||||
\(492\) | −17.7917 | − | 25.1004i | −0.802113 | − | 1.13161i | ||||
\(493\) | 35.6888 | + | 35.6888i | 1.60734 | + | 1.60734i | ||||
\(494\) | 4.08723 | − | 3.44969i | 0.183893 | − | 0.155209i | ||||
\(495\) | −12.9362 | −0.581439 | ||||||||
\(496\) | 15.8359 | + | 5.55811i | 0.711053 | + | 0.249566i | ||||
\(497\) | −6.72492 | −0.301654 | ||||||||
\(498\) | 41.1364 | − | 34.7198i | 1.84336 | − | 1.55583i | ||||
\(499\) | −13.9831 | − | 13.9831i | −0.625967 | − | 0.625967i | 0.321084 | − | 0.947051i | \(-0.395953\pi\) |
−0.947051 | + | 0.321084i | \(0.895953\pi\) | |||||||
\(500\) | −1.63167 | + | 1.15657i | −0.0729706 | + | 0.0517233i | ||||
\(501\) | 29.4732 | − | 29.4732i | 1.31676 | − | 1.31676i | ||||
\(502\) | −37.9691 | − | 3.21173i | −1.69464 | − | 0.143347i | ||||
\(503\) | 1.12937i | 0.0503561i | 0.999683 | + | 0.0251781i | \(0.00801528\pi\) | ||||
−0.999683 | + | 0.0251781i | \(0.991985\pi\) | |||||||
\(504\) | 8.75386 | − | 5.15537i | 0.389928 | − | 0.229638i | ||||
\(505\) | − | 15.3681i | − | 0.683873i | ||||||
\(506\) | −1.08354 | + | 12.8097i | −0.0481694 | + | 0.569459i | ||||
\(507\) | 49.1711 | − | 49.1711i | 2.18376 | − | 2.18376i | ||||
\(508\) | −0.380104 | + | 2.23072i | −0.0168644 | + | 0.0989721i | ||||
\(509\) | −24.2090 | − | 24.2090i | −1.07305 | − | 1.07305i | −0.997113 | − | 0.0759334i | \(-0.975806\pi\) |
−0.0759334 | − | 0.997113i | \(-0.524194\pi\) | |||||||
\(510\) | −16.2543 | − | 19.2583i | −0.719755 | − | 0.852772i | ||||
\(511\) | −11.9794 | −0.529938 | ||||||||
\(512\) | 0.586282 | + | 22.6198i | 0.0259103 | + | 0.999664i | ||||
\(513\) | 0.907601 | 0.0400716 | ||||||||
\(514\) | −21.3465 | − | 25.2915i | −0.941552 | − | 1.11556i | ||||
\(515\) | 10.5846 | + | 10.5846i | 0.466415 | + | 0.466415i | ||||
\(516\) | 3.01518 | − | 17.6952i | 0.132736 | − | 0.778987i | ||||
\(517\) | −4.36048 | + | 4.36048i | −0.191774 | + | 0.191774i | ||||
\(518\) | 0.133814 | − | 1.58195i | 0.00587945 | − | 0.0695068i | ||||
\(519\) | 59.9450i | 2.63129i | ||||||||
\(520\) | −15.4304 | + | 9.08735i | −0.676668 | + | 0.398507i | ||||
\(521\) | 7.96169i | 0.348808i | 0.984674 | + | 0.174404i | \(0.0557999\pi\) | ||||
−0.984674 | + | 0.174404i | \(0.944200\pi\) | |||||||
\(522\) | 36.8066 | + | 3.11340i | 1.61098 | + | 0.136270i | ||||
\(523\) | −12.8185 | + | 12.8185i | −0.560516 | + | 0.560516i | −0.929454 | − | 0.368938i | \(-0.879721\pi\) |
0.368938 | + | 0.929454i | \(0.379721\pi\) | |||||||
\(524\) | 4.40632 | − | 3.12330i | 0.192491 | − | 0.136442i | ||||
\(525\) | −1.81546 | − | 1.81546i | −0.0792332 | − | 0.0792332i | ||||
\(526\) | 0.503381 | − | 0.424862i | 0.0219484 | − | 0.0185249i | ||||
\(527\) | 29.1211 | 1.26854 | ||||||||
\(528\) | 34.9004 | + | 12.2494i | 1.51885 | + | 0.533087i | ||||
\(529\) | 16.6298 | 0.723036 | ||||||||
\(530\) | 6.76650 | − | 5.71105i | 0.293918 | − | 0.248072i | ||||
\(531\) | 21.2345 | + | 21.2345i | 0.921497 | + | 0.921497i | ||||
\(532\) | −0.690867 | − | 0.974666i | −0.0299529 | − | 0.0422571i | ||||
\(533\) | −26.8237 | + | 26.8237i | −1.16187 | + | 1.16187i | ||||
\(534\) | 9.16399 | + | 0.775165i | 0.396565 | + | 0.0335447i | ||||
\(535\) | 6.00333i | 0.259547i | ||||||||
\(536\) | 11.1045 | + | 2.87288i | 0.479642 | + | 0.124089i | ||||
\(537\) | 34.0135i | 1.46779i | ||||||||
\(538\) | 2.23696 | − | 26.4453i | 0.0964423 | − | 1.14014i | ||||
\(539\) | −2.54671 | + | 2.54671i | −0.109695 | + | 0.109695i | ||||
\(540\) | −2.99562 | − | 0.510440i | −0.128911 | − | 0.0219658i | ||||
\(541\) | −2.41665 | − | 2.41665i | −0.103900 | − | 0.103900i | 0.653246 | − | 0.757146i | \(-0.273407\pi\) |
−0.757146 | + | 0.653246i | \(0.773407\pi\) | |||||||
\(542\) | 19.0014 | + | 22.5130i | 0.816180 | + | 0.967018i | ||||
\(543\) | −47.7589 | −2.04953 | ||||||||
\(544\) | 13.9582 | + | 36.6972i | 0.598452 | + | 1.57338i | ||||
\(545\) | 5.40030 | 0.231323 | ||||||||
\(546\) | −14.8272 | − | 17.5674i | −0.634546 | − | 0.751815i | ||||
\(547\) | −24.9172 | − | 24.9172i | −1.06538 | − | 1.06538i | −0.997707 | − | 0.0676744i | \(-0.978442\pi\) |
−0.0676744 | − | 0.997707i | \(-0.521558\pi\) | |||||||
\(548\) | 33.6689 | + | 5.73703i | 1.43826 | + | 0.245074i | ||||
\(549\) | −22.6908 | + | 22.6908i | −0.968422 | + | 0.968422i | ||||
\(550\) | 0.429310 | − | 5.07530i | 0.0183059 | − | 0.216412i | ||||
\(551\) | − | 4.34381i | − | 0.185052i | ||||||
\(552\) | −4.59062 | + | 17.7441i | −0.195390 | + | 0.755239i | ||||
\(553\) | − | 2.80562i | − | 0.119307i | ||||||
\(554\) | 33.8858 | + | 2.86634i | 1.43967 | + | 0.121779i | ||||
\(555\) | −2.03804 | + | 2.03804i | −0.0865099 | + | 0.0865099i | ||||
\(556\) | 18.0498 | + | 25.4645i | 0.765483 | + | 1.07993i | ||||
\(557\) | 12.4881 | + | 12.4881i | 0.529140 | + | 0.529140i | 0.920316 | − | 0.391176i | \(-0.127932\pi\) |
−0.391176 | + | 0.920316i | \(0.627932\pi\) | |||||||
\(558\) | 16.2868 | − | 13.7464i | 0.689477 | − | 0.581931i | ||||
\(559\) | −22.1323 | −0.936098 | ||||||||
\(560\) | 1.73211 | + | 3.60552i | 0.0731951 | + | 0.152361i | ||||
\(561\) | 64.1795 | 2.70966 | ||||||||
\(562\) | −19.6765 | + | 16.6073i | −0.830004 | + | 0.700538i | ||||
\(563\) | −7.39743 | − | 7.39743i | −0.311764 | − | 0.311764i | 0.533828 | − | 0.845593i | \(-0.320753\pi\) |
−0.845593 | + | 0.533828i | \(0.820753\pi\) | |||||||
\(564\) | −7.17279 | + | 5.08425i | −0.302029 | + | 0.214085i | ||||
\(565\) | 13.3835 | − | 13.3835i | 0.563049 | − | 0.563049i | ||||
\(566\) | 1.97907 | + | 0.167406i | 0.0831865 | + | 0.00703659i | ||||
\(567\) | 6.87440i | 0.288698i | ||||||||
\(568\) | −9.65240 | − | 16.3899i | −0.405006 | − | 0.687703i | ||||
\(569\) | 2.78440i | 0.116728i | 0.998295 | + | 0.0583642i | \(0.0185885\pi\) | ||||
−0.998295 | + | 0.0583642i | \(0.981412\pi\) | |||||||
\(570\) | −0.182811 | + | 2.16118i | −0.00765709 | + | 0.0905221i | ||||
\(571\) | −14.6312 | + | 14.6312i | −0.612295 | + | 0.612295i | −0.943544 | − | 0.331248i | \(-0.892530\pi\) |
0.331248 | + | 0.943544i | \(0.392530\pi\) | |||||||
\(572\) | 7.66050 | − | 44.9572i | 0.320302 | − | 1.87975i | ||||
\(573\) | 33.4699 | + | 33.4699i | 1.39822 | + | 1.39822i | ||||
\(574\) | 5.46530 | + | 6.47533i | 0.228117 | + | 0.270275i | ||||
\(575\) | 2.52392 | 0.105255 | ||||||||
\(576\) | 25.1291 | + | 13.9352i | 1.04705 | + | 0.580632i | ||||
\(577\) | 19.9134 | 0.829006 | 0.414503 | − | 0.910048i | \(-0.363955\pi\) | ||||
0.414503 | + | 0.910048i | \(0.363955\pi\) | |||||||
\(578\) | 28.4341 | + | 33.6890i | 1.18270 | + | 1.40128i | ||||
\(579\) | −10.4064 | − | 10.4064i | −0.432473 | − | 0.432473i | ||||
\(580\) | −2.44298 | + | 14.3371i | −0.101439 | + | 0.595317i | ||||
\(581\) | −10.4832 | + | 10.4832i | −0.434915 | + | 0.434915i | ||||
\(582\) | 2.48112 | − | 29.3317i | 0.102846 | − | 1.21584i | ||||
\(583\) | 22.5498i | 0.933917i | ||||||||
\(584\) | −17.1943 | − | 29.1960i | −0.711505 | − | 1.20814i | ||||
\(585\) | 22.7405i | 0.940205i | ||||||||
\(586\) | 4.42140 | + | 0.373998i | 0.182646 | + | 0.0154497i | ||||
\(587\) | 14.8859 | − | 14.8859i | 0.614409 | − | 0.614409i | −0.329683 | − | 0.944092i | \(-0.606942\pi\) |
0.944092 | + | 0.329683i | \(0.106942\pi\) | |||||||
\(588\) | −4.18923 | + | 2.96943i | −0.172761 | + | 0.122457i | ||||
\(589\) | −1.77222 | − | 1.77222i | −0.0730230 | − | 0.0730230i | ||||
\(590\) | −9.03569 | + | 7.62629i | −0.371994 | + | 0.313969i | ||||
\(591\) | 6.27214 | 0.258001 | ||||||||
\(592\) | 4.04756 | − | 1.94447i | 0.166354 | − | 0.0799172i | ||||
\(593\) | 35.0444 | 1.43910 | 0.719551 | − | 0.694440i | \(-0.244348\pi\) | ||||
0.719551 | + | 0.694440i | \(0.244348\pi\) | |||||||
\(594\) | 5.91403 | − | 4.99155i | 0.242656 | − | 0.204806i | ||||
\(595\) | 4.90777 | + | 4.90777i | 0.201199 | + | 0.201199i | ||||
\(596\) | −9.04278 | − | 12.7574i | −0.370407 | − | 0.522565i | ||||
\(597\) | 32.4592 | − | 32.4592i | 1.32847 | − | 1.32847i | ||||
\(598\) | 22.5181 | + | 1.90476i | 0.920832 | + | 0.0778915i | ||||
\(599\) | 29.5483i | 1.20731i | 0.797245 | + | 0.603656i | \(0.206290\pi\) | ||||
−0.797245 | + | 0.603656i | \(0.793710\pi\) | |||||||
\(600\) | 1.81885 | − | 7.03037i | 0.0742540 | − | 0.287014i | ||||
\(601\) | − | 2.61725i | − | 0.106760i | −0.998574 | − | 0.0533798i | \(-0.983001\pi\) | ||
0.998574 | − | 0.0533798i | \(-0.0169994\pi\) | |||||||
\(602\) | −0.416691 | + | 4.92612i | −0.0169831 | + | 0.200774i | ||||
\(603\) | 10.2996 | − | 10.2996i | 0.419431 | − | 0.419431i | ||||
\(604\) | −34.7131 | − | 5.91495i | −1.41245 | − | 0.240676i | ||||
\(605\) | 1.39407 | + | 1.39407i | 0.0566768 | + | 0.0566768i | ||||
\(606\) | 35.9908 | + | 42.6422i | 1.46203 | + | 1.73222i | ||||
\(607\) | 15.4816 | 0.628380 | 0.314190 | − | 0.949360i | \(-0.398267\pi\) | ||||
0.314190 | + | 0.949360i | \(0.398267\pi\) | |||||||
\(608\) | 1.38383 | − | 3.08273i | 0.0561215 | − | 0.125021i | ||||
\(609\) | −18.6702 | −0.756555 | ||||||||
\(610\) | −8.14934 | − | 9.65541i | −0.329957 | − | 0.390936i | ||||
\(611\) | 7.66528 | + | 7.66528i | 0.310104 | + | 0.310104i | ||||
\(612\) | 49.1503 | + | 8.37498i | 1.98678 | + | 0.338538i | ||||
\(613\) | −13.7576 | + | 13.7576i | −0.555663 | + | 0.555663i | −0.928070 | − | 0.372407i | \(-0.878533\pi\) |
0.372407 | + | 0.928070i | \(0.378533\pi\) | |||||||
\(614\) | −3.57329 | + | 42.2435i | −0.144206 | + | 1.70481i | ||||
\(615\) | − | 15.3832i | − | 0.620311i | ||||||
\(616\) | −9.86215 | − | 2.55146i | −0.397358 | − | 0.102801i | ||||
\(617\) | − | 8.55504i | − | 0.344413i | −0.985061 | − | 0.172207i | \(-0.944910\pi\) | ||
0.985061 | − | 0.172207i | \(-0.0550896\pi\) | |||||||
\(618\) | −54.1576 | − | 4.58109i | −2.17854 | − | 0.184278i | ||||
\(619\) | 3.67786 | − | 3.67786i | 0.147825 | − | 0.147825i | −0.629320 | − | 0.777146i | \(-0.716667\pi\) |
0.777146 | + | 0.629320i | \(0.216667\pi\) | |||||||
\(620\) | 4.85266 | + | 6.84607i | 0.194888 | + | 0.274945i | ||||
\(621\) | 2.71164 | + | 2.71164i | 0.108814 | + | 0.108814i | ||||
\(622\) | 12.2851 | − | 10.3689i | 0.492588 | − | 0.415753i | ||||
\(623\) | −2.53289 | −0.101478 | ||||||||
\(624\) | 21.5332 | − | 61.3514i | 0.862018 | − | 2.45602i | ||||
\(625\) | −1.00000 | −0.0400000 | ||||||||
\(626\) | 3.05869 | − | 2.58159i | 0.122250 | − | 0.103181i | ||||
\(627\) | −3.90576 | − | 3.90576i | −0.155981 | − | 0.155981i | ||||
\(628\) | 6.69204 | − | 4.74348i | 0.267042 | − | 0.189286i | ||||
\(629\) | 5.50947 | − | 5.50947i | 0.219677 | − | 0.219677i | ||||
\(630\) | 5.06149 | + | 0.428142i | 0.201654 | + | 0.0170576i | ||||
\(631\) | − | 33.5577i | − | 1.33591i | −0.744202 | − | 0.667954i | \(-0.767170\pi\) | ||
0.744202 | − | 0.667954i | \(-0.232830\pi\) | |||||||
\(632\) | 6.83782 | − | 4.02696i | 0.271994 | − | 0.160184i | ||||
\(633\) | 51.1919i | 2.03469i | ||||||||
\(634\) | −3.48462 | + | 41.1952i | −0.138392 | + | 1.63607i | ||||
\(635\) | −0.800045 | + | 0.800045i | −0.0317488 | + | 0.0317488i | ||||
\(636\) | −5.40035 | + | 31.6931i | −0.214138 | + | 1.25671i | ||||
\(637\) | 4.47686 | + | 4.47686i | 0.177380 | + | 0.177380i | ||||
\(638\) | −23.8897 | − | 28.3047i | −0.945803 | − | 1.12060i | ||||
\(639\) | −24.1545 | −0.955538 | ||||||||
\(640\) | −6.30118 | + | 9.39655i | −0.249076 | + | 0.371431i | ||||
\(641\) | 16.6300 | 0.656844 | 0.328422 | − | 0.944531i | \(-0.393483\pi\) | ||||
0.328422 | + | 0.944531i | \(0.393483\pi\) | |||||||
\(642\) | −14.0593 | − | 16.6575i | −0.554875 | − | 0.657420i | ||||
\(643\) | 10.3201 | + | 10.3201i | 0.406984 | + | 0.406984i | 0.880685 | − | 0.473702i | \(-0.157083\pi\) |
−0.473702 | + | 0.880685i | \(0.657083\pi\) | |||||||
\(644\) | 0.847907 | − | 4.97611i | 0.0334122 | − | 0.196086i | ||||
\(645\) | 6.34636 | − | 6.34636i | 0.249888 | − | 0.249888i | ||||
\(646\) | 0.494196 | − | 5.84238i | 0.0194439 | − | 0.229865i | ||||
\(647\) | − | 38.0570i | − | 1.49617i | −0.663601 | − | 0.748087i | \(-0.730973\pi\) | ||
0.663601 | − | 0.748087i | \(-0.269027\pi\) | |||||||
\(648\) | −16.7542 | + | 9.86696i | −0.658166 | + | 0.387611i | ||||
\(649\) | − | 30.1120i | − | 1.18200i | ||||||
\(650\) | −8.92187 | − | 0.754684i | −0.349944 | − | 0.0296011i | ||||
\(651\) | −7.61721 | + | 7.61721i | −0.298542 | + | 0.298542i | ||||
\(652\) | 16.1699 | − | 11.4616i | 0.633261 | − | 0.448871i | ||||
\(653\) | −11.7003 | − | 11.7003i | −0.457870 | − | 0.457870i | 0.440086 | − | 0.897956i | \(-0.354948\pi\) |
−0.897956 | + | 0.440086i | \(0.854948\pi\) | |||||||
\(654\) | −14.9843 | + | 12.6470i | −0.585932 | + | 0.494537i | ||||
\(655\) | 2.70049 | 0.105517 | ||||||||
\(656\) | −7.93713 | + | 22.6141i | −0.309893 | + | 0.882932i | ||||
\(657\) | −43.0276 | −1.67867 | ||||||||
\(658\) | 1.85042 | − | 1.56179i | 0.0721369 | − | 0.0608848i | ||||
\(659\) | −16.8626 | − | 16.8626i | −0.656873 | − | 0.656873i | 0.297766 | − | 0.954639i | \(-0.403759\pi\) |
−0.954639 | + | 0.297766i | \(0.903759\pi\) | |||||||
\(660\) | 10.6947 | + | 15.0879i | 0.416290 | + | 0.587297i | ||||
\(661\) | −25.8182 | + | 25.8182i | −1.00421 | + | 1.00421i | −0.00422235 | + | 0.999991i | \(0.501344\pi\) |
−0.999991 | + | 0.00422235i | \(0.998656\pi\) | |||||||
\(662\) | 20.4216 | + | 1.72743i | 0.793709 | + | 0.0671383i | ||||
\(663\) | − | 112.821i | − | 4.38161i | ||||||
\(664\) | −40.5961 | − | 10.5027i | −1.57543 | − | 0.407584i | ||||
\(665\) | − | 0.597342i | − | 0.0231639i | ||||||
\(666\) | 0.480632 | − | 5.68203i | 0.0186241 | − | 0.220174i | ||||
\(667\) | 12.9780 | − | 12.9780i | 0.502510 | − | 0.502510i | ||||
\(668\) | −32.0078 | − | 5.45397i | −1.23842 | − | 0.211021i | ||||
\(669\) | −42.0771 | − | 42.0771i | −1.62680 | − | 1.62680i | ||||
\(670\) | 3.69906 | + | 4.38268i | 0.142907 | + | 0.169318i | ||||
\(671\) | 32.1773 | 1.24219 | ||||||||
\(672\) | −13.2499 | − | 5.94785i | −0.511127 | − | 0.229443i | ||||
\(673\) | 8.99006 | 0.346541 | 0.173271 | − | 0.984874i | \(-0.444566\pi\) | ||||
0.173271 | + | 0.984874i | \(0.444566\pi\) | |||||||
\(674\) | 16.7718 | + | 19.8714i | 0.646026 | + | 0.765417i | ||||
\(675\) | −1.07438 | − | 1.07438i | −0.0413528 | − | 0.0413528i | ||||
\(676\) | −53.3996 | − | 9.09905i | −2.05383 | − | 0.349963i | ||||
\(677\) | −11.5984 | + | 11.5984i | −0.445762 | + | 0.445762i | −0.893943 | − | 0.448181i | \(-0.852072\pi\) |
0.448181 | + | 0.893943i | \(0.352072\pi\) | |||||||
\(678\) | −5.79246 | + | 68.4785i | −0.222458 | + | 2.62990i | ||||
\(679\) | 8.10717i | 0.311125i | ||||||||
\(680\) | −4.91692 | + | 19.0054i | −0.188555 | + | 0.728822i | ||||
\(681\) | 47.4313i | 1.81757i | ||||||||
\(682\) | −21.2947 | − | 1.80128i | −0.815415 | − | 0.0689744i | ||||
\(683\) | −2.59539 | + | 2.59539i | −0.0993098 | + | 0.0993098i | −0.755016 | − | 0.655706i | \(-0.772371\pi\) |
0.655706 | + | 0.755016i | \(0.272371\pi\) | |||||||
\(684\) | −2.48145 | − | 3.50080i | −0.0948807 | − | 0.133856i | ||||
\(685\) | 12.0753 | + | 12.0753i | 0.461375 | + | 0.461375i | ||||
\(686\) | 1.08073 | − | 0.912154i | 0.0412624 | − | 0.0348262i | ||||
\(687\) | 44.0308 | 1.67988 | ||||||||
\(688\) | −12.6039 | + | 6.05500i | −0.480521 | + | 0.230845i | ||||
\(689\) | 39.6403 | 1.51017 | ||||||||
\(690\) | −7.00316 | + | 5.91079i | −0.266606 | + | 0.225020i | ||||
\(691\) | −19.4028 | − | 19.4028i | −0.738117 | − | 0.738117i | 0.234096 | − | 0.972213i | \(-0.424787\pi\) |
−0.972213 | + | 0.234096i | \(0.924787\pi\) | |||||||
\(692\) | 38.0964 | − | 27.0037i | 1.44821 | − | 1.02652i | ||||
\(693\) | −9.14727 | + | 9.14727i | −0.347476 | + | 0.347476i | ||||
\(694\) | 12.0624 | + | 1.02034i | 0.457883 | + | 0.0387315i | ||||
\(695\) | 15.6064i | 0.591983i | ||||||||
\(696\) | −26.7977 | − | 45.5027i | −1.01576 | − | 1.72478i | ||||
\(697\) | 41.5858i | 1.57517i | ||||||||
\(698\) | 2.03613 | − | 24.0712i | 0.0770688 | − | 0.911107i | ||||
\(699\) | −45.0527 | + | 45.0527i | −1.70405 | + | 1.70405i | ||||
\(700\) | −0.335949 | + | 1.97158i | −0.0126977 | + | 0.0745188i | ||||
\(701\) | −24.0020 | − | 24.0020i | −0.906545 | − | 0.906545i | 0.0894470 | − | 0.995992i | \(-0.471490\pi\) |
−0.995992 | + | 0.0894470i | \(0.971490\pi\) | |||||||
\(702\) | −8.77464 | − | 10.3963i | −0.331177 | − | 0.392382i | ||||
\(703\) | −0.670577 | −0.0252913 | ||||||||
\(704\) | −7.93695 | − | 27.6980i | −0.299135 | − | 1.04391i | ||||
\(705\) | −4.39598 | −0.165562 | ||||||||
\(706\) | −16.8682 | − | 19.9856i | −0.634845 | − | 0.752170i | ||||
\(707\) | −10.8669 | − | 10.8669i | −0.408692 | − | 0.408692i | ||||
\(708\) | 7.21140 | − | 42.3215i | 0.271021 | − | 1.59054i | ||||
\(709\) | 0.135968 | − | 0.135968i | 0.00510640 | − | 0.00510640i | −0.704549 | − | 0.709655i | \(-0.748851\pi\) |
0.709655 | + | 0.704549i | \(0.248851\pi\) | |||||||
\(710\) | 0.801610 | − | 9.47663i | 0.0300839 | − | 0.355651i | ||||
\(711\) | − | 10.0772i | − | 0.377925i | ||||||
\(712\) | −3.63550 | − | 6.17311i | −0.136246 | − | 0.231347i | ||||
\(713\) | − | 10.5897i | − | 0.396588i | ||||||
\(714\) | −25.1112 | − | 2.12411i | −0.939764 | − | 0.0794929i | ||||
\(715\) | 16.1239 | − | 16.1239i | 0.602998 | − | 0.602998i | ||||
\(716\) | 21.6163 | − | 15.3222i | 0.807840 | − | 0.572617i | ||||
\(717\) | −29.7235 | − | 29.7235i | −1.11005 | − | 1.11005i | ||||
\(718\) | 34.7790 | − | 29.3541i | 1.29794 | − | 1.09549i | ||||
\(719\) | −3.06462 | −0.114291 | −0.0571455 | − | 0.998366i | \(-0.518200\pi\) | ||||
−0.0571455 | + | 0.998366i | \(0.518200\pi\) | |||||||
\(720\) | 6.22139 | + | 12.9503i | 0.231857 | + | 0.482629i | ||||
\(721\) | 14.9689 | 0.557472 | ||||||||
\(722\) | 20.1482 | − | 17.0055i | 0.749839 | − | 0.632878i | ||||
\(723\) | 7.54660 | + | 7.54660i | 0.280661 | + | 0.280661i | ||||
\(724\) | 21.5141 | + | 30.3519i | 0.799567 | + | 1.12802i | ||||
\(725\) | −5.14200 | + | 5.14200i | −0.190969 | + | 0.190969i | ||||
\(726\) | −7.13291 | − | 0.603359i | −0.264727 | − | 0.0223928i | ||||
\(727\) | 7.86232i | 0.291597i | 0.989314 | + | 0.145799i | \(0.0465752\pi\) | ||||
−0.989314 | + | 0.145799i | \(0.953425\pi\) | |||||||
\(728\) | −4.48521 | + | 17.3367i | −0.166233 | + | 0.642540i | ||||
\(729\) | 36.3944i | 1.34794i | ||||||||
\(730\) | 1.42795 | − | 16.8812i | 0.0528507 | − | 0.624800i | ||||
\(731\) | −17.1563 | + | 17.1563i | −0.634547 | + | 0.634547i | ||||
\(732\) | 45.2242 | + | 7.70600i | 1.67154 | + | 0.284822i | ||||
\(733\) | −2.68403 | − | 2.68403i | −0.0991370 | − | 0.0991370i | 0.655799 | − | 0.754936i | \(-0.272332\pi\) |
−0.754936 | + | 0.655799i | \(0.772332\pi\) | |||||||
\(734\) | 26.1659 | + | 31.0016i | 0.965802 | + | 1.14429i | ||||
\(735\) | −2.56745 | −0.0947018 | ||||||||
\(736\) | 13.3447 | − | 5.07580i | 0.491893 | − | 0.187097i | ||||
\(737\) | −14.6056 | −0.538003 | ||||||||
\(738\) | 19.6302 | + | 23.2581i | 0.722598 | + | 0.856141i | ||||
\(739\) | 11.1492 | + | 11.1492i | 0.410132 | + | 0.410132i | 0.881784 | − | 0.471653i | \(-0.156342\pi\) |
−0.471653 | + | 0.881784i | \(0.656342\pi\) | |||||||
\(740\) | 2.21330 | + | 0.377136i | 0.0813626 | + | 0.0138638i | ||||
\(741\) | −6.86593 | + | 6.86593i | −0.252226 | + | 0.252226i | ||||
\(742\) | 0.746318 | − | 8.82296i | 0.0273982 | − | 0.323901i | ||||
\(743\) | 49.1110i | 1.80171i | 0.434123 | + | 0.900854i | \(0.357058\pi\) | ||||
−0.434123 | + | 0.900854i | \(0.642942\pi\) | |||||||
\(744\) | −29.4976 | − | 7.63141i | −1.08144 | − | 0.279781i | ||||
\(745\) | − | 7.81863i | − | 0.286452i | ||||||
\(746\) | −14.4896 | − | 1.22565i | −0.530502 | − | 0.0448741i | ||||
\(747\) | −37.6534 | + | 37.6534i | −1.37766 | + | 1.37766i | ||||
\(748\) | −28.9112 | − | 40.7875i | −1.05710 | − | 1.49134i | ||||
\(749\) | 4.24500 | + | 4.24500i | 0.155109 | + | 0.155109i | ||||
\(750\) | 2.77472 | − | 2.34191i | 0.101318 | − | 0.0855145i | ||||
\(751\) | −26.1068 | −0.952650 | −0.476325 | − | 0.879269i | \(-0.658031\pi\) | ||||
−0.476325 | + | 0.879269i | \(0.658031\pi\) | |||||||
\(752\) | 6.46231 | + | 2.26815i | 0.235656 | + | 0.0827109i | ||||
\(753\) | 69.1775 | 2.52097 | ||||||||
\(754\) | −49.7569 | + | 41.9957i | −1.81204 | + | 1.52939i | ||||
\(755\) | −12.4498 | − | 12.4498i | −0.453095 | − | 0.453095i | ||||
\(756\) | −2.47916 | + | 1.75729i | −0.0901661 | + | 0.0639119i | ||||
\(757\) | 19.1268 | − | 19.1268i | 0.695177 | − | 0.695177i | −0.268189 | − | 0.963366i | \(-0.586425\pi\) |
0.963366 | + | 0.268189i | \(0.0864253\pi\) | |||||||
\(758\) | −3.99947 | − | 0.338308i | −0.145267 | − | 0.0122879i | ||||
\(759\) | − | 23.3385i | − | 0.847133i | ||||||
\(760\) | 1.45583 | − | 0.857377i | 0.0528086 | − | 0.0311003i | ||||
\(761\) | 30.1038i | 1.09126i | 0.838026 | + | 0.545631i | \(0.183710\pi\) | ||||
−0.838026 | + | 0.545631i | \(0.816290\pi\) | |||||||
\(762\) | 0.346264 | − | 4.09353i | 0.0125438 | − | 0.148293i | ||||
\(763\) | 3.81859 | − | 3.81859i | 0.138242 | − | 0.138242i | ||||
\(764\) | 6.19355 | − | 36.3481i | 0.224075 | − | 1.31503i | ||||
\(765\) | 17.6277 | + | 17.6277i | 0.637331 | + | 0.637331i | ||||
\(766\) | −6.38271 | − | 7.56229i | −0.230617 | − | 0.273237i | ||||
\(767\) | −52.9339 | −1.91133 | ||||||||
\(768\) | −4.52187 | − | 40.8295i | −0.163169 | − | 1.47331i | ||||
\(769\) | −9.47275 | −0.341596 | −0.170798 | − | 0.985306i | \(-0.554635\pi\) | ||||
−0.170798 | + | 0.985306i | \(0.554635\pi\) | |||||||
\(770\) | −3.28521 | − | 3.89235i | −0.118391 | − | 0.140271i | ||||
\(771\) | 42.4858 | + | 42.4858i | 1.53009 | + | 1.53009i | ||||
\(772\) | −1.92568 | + | 11.3013i | −0.0693069 | + | 0.406741i | ||||
\(773\) | −7.10418 | + | 7.10418i | −0.255520 | + | 0.255520i | −0.823229 | − | 0.567709i | \(-0.807830\pi\) |
0.567709 | + | 0.823229i | \(0.307830\pi\) | |||||||
\(774\) | −1.49667 | + | 17.6936i | −0.0537966 | + | 0.635983i | ||||
\(775\) | 4.19574i | 0.150716i | ||||||||
\(776\) | −19.7587 | + | 11.6364i | −0.709294 | + | 0.417721i | ||||
\(777\) | 2.88222i | 0.103399i | ||||||||
\(778\) | −29.6593 | − | 2.50882i | −1.06334 | − | 0.0899456i | ||||
\(779\) | 2.53078 | − | 2.53078i | 0.0906745 | − | 0.0906745i | ||||
\(780\) | 26.5230 | − | 18.8002i | 0.949677 | − | 0.673154i | ||||
\(781\) | 17.1264 | + | 17.1264i | 0.612832 | + | 0.612832i | ||||
\(782\) | 18.9318 | − | 15.9788i | 0.676999 | − | 0.571399i | ||||
\(783\) | −11.0489 | −0.394856 | ||||||||
\(784\) | 3.77428 | + | 1.32470i | 0.134796 | + | 0.0473108i | ||||
\(785\) | 4.10134 | 0.146383 | ||||||||
\(786\) | −7.49310 | + | 6.32431i | −0.267270 | + | 0.225581i | ||||
\(787\) | −0.0406865 | − | 0.0406865i | −0.00145032 | − | 0.00145032i | 0.706381 | − | 0.707832i | \(-0.250326\pi\) |
−0.707832 | + | 0.706381i | \(0.750326\pi\) | |||||||
\(788\) | −2.82543 | − | 3.98608i | −0.100652 | − | 0.141998i | ||||
\(789\) | −0.845603 | + | 0.845603i | −0.0301043 | + | 0.0301043i | ||||
\(790\) | 3.95363 | + | 0.334430i | 0.140664 | + | 0.0118985i | ||||
\(791\) | − | 18.9272i | − | 0.672972i | ||||||
\(792\) | −35.4228 | − | 9.16432i | −1.25870 | − | 0.325640i | ||||
\(793\) | − | 56.5644i | − | 2.00866i | ||||||
\(794\) | 0.285924 | − | 3.38019i | 0.0101470 | − | 0.119958i | ||||
\(795\) | −11.3667 | + | 11.3667i | −0.403135 | + | 0.403135i | ||||
\(796\) | −35.2506 | − | 6.00654i | −1.24942 | − | 0.212896i | ||||
\(797\) | −21.3500 | − | 21.3500i | −0.756254 | − | 0.756254i | 0.219384 | − | 0.975639i | \(-0.429595\pi\) |
−0.975639 | + | 0.219384i | \(0.929595\pi\) | |||||||
\(798\) | 1.39892 | + | 1.65745i | 0.0495213 | + | 0.0586733i | ||||
\(799\) | 11.8837 | 0.420417 | ||||||||
\(800\) | −5.28730 | + | 2.01108i | −0.186934 | + | 0.0711024i | ||||
\(801\) | −9.09761 | −0.321448 | ||||||||
\(802\) | −3.10275 | − | 3.67616i | −0.109562 | − | 0.129810i | ||||
\(803\) | 30.5082 | + | 30.5082i | 1.07661 | + | 1.07661i | ||||
\(804\) | −20.5277 | − | 3.49782i | −0.723955 | − | 0.123359i | ||||
\(805\) | 1.78468 | − | 1.78468i | 0.0629017 | − | 0.0629017i | ||||
\(806\) | −3.16646 | + | 37.4339i | −0.111534 | + | 1.31855i | ||||
\(807\) | 48.1819i | 1.69608i | ||||||||
\(808\) | 10.8872 | − | 42.0822i | 0.383010 | − | 1.48044i | ||||
\(809\) | 25.6345i | 0.901261i | 0.892710 | + | 0.450631i | \(0.148801\pi\) | ||||
−0.892710 | + | 0.450631i | \(0.851199\pi\) | |||||||
\(810\) | −9.68728 | − | 0.819428i | −0.340376 | − | 0.0287918i | ||||
\(811\) | −11.0332 | + | 11.0332i | −0.387427 | + | 0.387427i | −0.873769 | − | 0.486342i | \(-0.838331\pi\) |
0.486342 | + | 0.873769i | \(0.338331\pi\) | |||||||
\(812\) | 8.41044 | + | 11.8653i | 0.295148 | + | 0.416392i | ||||
\(813\) | −37.8185 | − | 37.8185i | −1.32635 | − | 1.32635i | ||||
\(814\) | −4.36956 | + | 3.68798i | −0.153153 | + | 0.129264i | ||||
\(815\) | 9.91000 | 0.347132 | ||||||||
\(816\) | −30.8658 | − | 64.2494i | −1.08052 | − | 2.24918i | ||||
\(817\) | 2.08815 | 0.0730551 | ||||||||
\(818\) | 40.6288 | − | 34.2915i | 1.42055 | − | 1.19897i | ||||
\(819\) | 16.0800 | + | 16.0800i | 0.561880 | + | 0.561880i | ||||
\(820\) | −9.77638 | + | 6.92973i | −0.341406 | + | 0.241997i | ||||
\(821\) | 14.9801 | − | 14.9801i | 0.522809 | − | 0.522809i | −0.395610 | − | 0.918419i | \(-0.629467\pi\) |
0.918419 | + | 0.395610i | \(0.129467\pi\) | |||||||
\(822\) | −61.7850 | − | 5.22627i | −2.15500 | − | 0.182287i | ||||
\(823\) | 5.21910i | 0.181926i | 0.995854 | + | 0.0909632i | \(0.0289946\pi\) | ||||
−0.995854 | + | 0.0909632i | \(0.971005\pi\) | |||||||
\(824\) | 21.4852 | + | 36.4820i | 0.748472 | + | 1.27091i | ||||
\(825\) | 9.24692i | 0.321936i | ||||||||
\(826\) | −0.996600 | + | 11.7818i | −0.0346761 | + | 0.409941i | ||||
\(827\) | 2.30972 | − | 2.30972i | 0.0803167 | − | 0.0803167i | −0.665807 | − | 0.746124i | \(-0.731913\pi\) |
0.746124 | + | 0.665807i | \(0.231913\pi\) | |||||||
\(828\) | 3.04551 | − | 17.8732i | 0.105839 | − | 0.621136i | ||||
\(829\) | −17.3124 | − | 17.3124i | −0.601286 | − | 0.601286i | 0.339368 | − | 0.940654i | \(-0.389787\pi\) |
−0.940654 | + | 0.339368i | \(0.889787\pi\) | |||||||
\(830\) | −13.5231 | − | 16.0223i | −0.469393 | − | 0.556141i | ||||
\(831\) | −61.7381 | −2.14167 | ||||||||
\(832\) | −48.6903 | + | 13.9524i | −1.68803 | + | 0.483711i | ||||
\(833\) | 6.94064 | 0.240479 | ||||||||
\(834\) | −36.5487 | − | 43.3032i | −1.26558 | − | 1.49947i | ||||
\(835\) | −11.4796 | − | 11.4796i | −0.397266 | − | 0.397266i | ||||
\(836\) | −0.722755 | + | 4.24164i | −0.0249970 | + | 0.146700i | ||||
\(837\) | −4.50781 | + | 4.50781i | −0.155813 | + | 0.155813i | ||||
\(838\) | 0.760752 | − | 8.99361i | 0.0262798 | − | 0.310679i | ||||
\(839\) | − | 46.9080i | − | 1.61944i | −0.586815 | − | 0.809721i | \(-0.699618\pi\) | ||
0.586815 | − | 0.809721i | \(-0.300382\pi\) | |||||||
\(840\) | −3.68511 | − | 6.25734i | −0.127148 | − | 0.215899i | ||||
\(841\) | 23.8804i | 0.823462i | ||||||||
\(842\) | −8.49261 | − | 0.718374i | −0.292675 | − | 0.0247568i | ||||
\(843\) | 33.0536 | − | 33.0536i | 1.13843 | − | 1.13843i | ||||
\(844\) | 32.5336 | − | 23.0606i | 1.11985 | − | 0.793778i | ||||
\(845\) | −19.1517 | − | 19.1517i | −0.658840 | − | 0.658840i | ||||
\(846\) | 6.64633 | − | 5.60962i | 0.228505 | − | 0.192863i | ||||
\(847\) | 1.97151 | 0.0677418 | ||||||||
\(848\) | 22.5744 | − | 10.8448i | 0.775207 | − | 0.372414i | ||||
\(849\) | −3.60575 | −0.123749 | ||||||||
\(850\) | −7.50095 | + | 6.33093i | −0.257280 | + | 0.217149i | ||||
\(851\) | −2.00348 | − | 2.00348i | −0.0686785 | − | 0.0686785i | ||||
\(852\) | 19.9692 | + | 28.1722i | 0.684132 | + | 0.965165i | ||||
\(853\) | 3.76562 | − | 3.76562i | 0.128932 | − | 0.128932i | −0.639696 | − | 0.768628i | \(-0.720940\pi\) |
0.768628 | + | 0.639696i | \(0.220940\pi\) | |||||||
\(854\) | −12.5899 | − | 1.06495i | −0.430816 | − | 0.0364419i | ||||
\(855\) | − | 2.14553i | − | 0.0733756i | ||||||
\(856\) | −4.25291 | + | 16.4388i | −0.145361 | + | 0.561865i | ||||
\(857\) | − | 21.1558i | − | 0.722668i | −0.932436 | − | 0.361334i | \(-0.882321\pi\) | ||
0.932436 | − | 0.361334i | \(-0.117679\pi\) | |||||||
\(858\) | −6.97850 | + | 82.4998i | −0.238242 | + | 2.81650i | ||||
\(859\) | −35.8965 | + | 35.8965i | −1.22477 | + | 1.22477i | −0.258855 | + | 0.965916i | \(0.583345\pi\) |
−0.965916 | + | 0.258855i | \(0.916655\pi\) | |||||||
\(860\) | −6.89212 | − | 1.17439i | −0.235020 | − | 0.0400462i | ||||
\(861\) | −10.8776 | − | 10.8776i | −0.370707 | − | 0.370707i | ||||
\(862\) | −13.8592 | − | 16.4205i | −0.472045 | − | 0.559283i | ||||
\(863\) | −7.60406 | −0.258845 | −0.129423 | − | 0.991590i | \(-0.541312\pi\) | ||||
−0.129423 | + | 0.991590i | \(0.541312\pi\) | |||||||
\(864\) | −7.84122 | − | 3.51990i | −0.266764 | − | 0.119749i | ||||
\(865\) | 23.3481 | 0.793859 | ||||||||
\(866\) | −24.0238 | − | 28.4637i | −0.816363 | − | 0.967234i | ||||
\(867\) | −56.5924 | − | 56.5924i | −1.92198 | − | 1.92198i | ||||
\(868\) | 8.27226 | + | 1.40955i | 0.280779 | + | 0.0478434i | ||||
\(869\) | −7.14512 | + | 7.14512i | −0.242382 | + | 0.242382i | ||||
\(870\) | 2.22549 | − | 26.3097i | 0.0754511 | − | 0.891983i | ||||
\(871\) | 25.6751i | 0.869967i | ||||||||
\(872\) | 14.7875 | + | 3.82571i | 0.500768 | + | 0.129555i | ||||
\(873\) | 29.1193i | 0.985538i | ||||||||
\(874\) | −2.12454 | − | 0.179711i | −0.0718637 | − | 0.00607882i | ||||
\(875\) | −0.707107 | + | 0.707107i | −0.0239046 | + | 0.0239046i | ||||
\(876\) | 35.5720 | + | 50.1846i | 1.20187 | + | 1.69558i | ||||
\(877\) | −34.0221 | − | 34.0221i | −1.14884 | − | 1.14884i | −0.986780 | − | 0.162064i | \(-0.948185\pi\) |
−0.162064 | − | 0.986780i | \(-0.551815\pi\) | |||||||
\(878\) | 6.61355 | − | 5.58196i | 0.223197 | − | 0.188382i | ||||
\(879\) | −8.05555 | −0.271707 | ||||||||
\(880\) | 4.77104 | − | 13.5934i | 0.160832 | − | 0.458234i | ||||
\(881\) | 52.0702 | 1.75429 | 0.877145 | − | 0.480226i | \(-0.159445\pi\) | ||||
0.877145 | + | 0.480226i | \(0.159445\pi\) | |||||||
\(882\) | 3.88175 | − | 3.27627i | 0.130705 | − | 0.110318i | ||||
\(883\) | 14.8051 | + | 14.8051i | 0.498233 | + | 0.498233i | 0.910888 | − | 0.412655i | \(-0.135398\pi\) |
−0.412655 | + | 0.910888i | \(0.635398\pi\) | |||||||
\(884\) | −71.7003 | + | 50.8229i | −2.41154 | + | 1.70936i | ||||
\(885\) | 15.1786 | − | 15.1786i | 0.510223 | − | 0.510223i | ||||
\(886\) | −29.4228 | − | 2.48882i | −0.988479 | − | 0.0836135i | ||||
\(887\) | 8.29831i | 0.278630i | 0.990248 | + | 0.139315i | \(0.0444900\pi\) | ||||
−0.990248 | + | 0.139315i | \(0.955510\pi\) | |||||||
\(888\) | −7.02450 | + | 4.13690i | −0.235727 | + | 0.138825i | ||||
\(889\) | 1.13143i | 0.0379471i | ||||||||
\(890\) | 0.301920 | − | 3.56930i | 0.0101204 | − | 0.119643i | ||||
\(891\) | 17.5071 | − | 17.5071i | 0.586511 | − | 0.586511i | ||||
\(892\) | −7.78632 | + | 45.6956i | −0.260705 | + | 1.53000i | ||||
\(893\) | −0.723206 | − | 0.723206i | −0.0242012 | − | 0.0242012i | ||||
\(894\) | 18.3105 | + | 21.6945i | 0.612396 | + | 0.725572i | ||||
\(895\) | 13.2480 | 0.442831 | ||||||||
\(896\) | 2.18875 | + | 11.1000i | 0.0731210 | + | 0.370824i | ||||
\(897\) | −41.0267 | −1.36984 | ||||||||
\(898\) | 11.4843 | + | 13.6068i | 0.383238 | + | 0.454063i | ||||
\(899\) | 21.5745 | + | 21.5745i | 0.719551 | + | 0.719551i | ||||
\(900\) | −1.20666 | + | 7.08152i | −0.0402219 | + | 0.236051i | ||||
\(901\) | 30.7278 | − | 30.7278i | 1.02369 | − | 1.02369i | ||||
\(902\) | 2.57227 | − | 30.4094i | 0.0856473 | − | 1.01252i | ||||
\(903\) | − | 8.97511i | − | 0.298673i | ||||||
\(904\) | 46.1289 | − | 27.1665i | 1.53423 | − | 0.903544i | ||||
\(905\) | 18.6017i | 0.618342i | ||||||||
\(906\) | 63.7011 | + | 5.38835i | 2.11633 | + | 0.179016i | ||||
\(907\) | 26.0800 | − | 26.0800i | 0.865971 | − | 0.865971i | −0.126052 | − | 0.992024i | \(-0.540231\pi\) |
0.992024 | + | 0.126052i | \(0.0402308\pi\) | |||||||
\(908\) | 30.1437 | − | 21.3666i | 1.00035 | − | 0.709074i | ||||
\(909\) | −39.0317 | − | 39.0317i | −1.29460 | − | 1.29460i | ||||
\(910\) | −6.84236 | + | 5.77507i | −0.226822 | + | 0.191442i | ||||
\(911\) | −27.7837 | −0.920514 | −0.460257 | − | 0.887786i | \(-0.652243\pi\) | ||||
−0.460257 | + | 0.887786i | \(0.652243\pi\) | |||||||
\(912\) | −2.03162 | + | 5.78840i | −0.0672737 | + | 0.191673i | ||||
\(913\) | 53.3953 | 1.76713 | ||||||||
\(914\) | 0.885195 | − | 0.747120i | 0.0292796 | − | 0.0247125i | ||||
\(915\) | 16.2196 | + | 16.2196i | 0.536205 | + | 0.536205i | ||||
\(916\) | −19.8347 | − | 27.9825i | −0.655357 | − | 0.924569i | ||||
\(917\) | 1.90954 | − | 1.90954i | 0.0630585 | − | 0.0630585i | ||||
\(918\) | −14.8607 | − | 1.25703i | −0.490475 | − | 0.0414883i | ||||
\(919\) | − | 31.2148i | − | 1.02968i | −0.857286 | − | 0.514841i | \(-0.827851\pi\) | ||
0.857286 | − | 0.514841i | \(-0.172149\pi\) | |||||||
\(920\) | 6.91118 | + | 1.78801i | 0.227855 | + | 0.0589489i | ||||
\(921\) | − | 76.9652i | − | 2.53609i | ||||||
\(922\) | −2.59582 | + | 30.6878i | −0.0854888 | + | 1.01065i | ||||
\(923\) | 30.1065 | − | 30.1065i | 0.990969 | − | 0.990969i | ||||
\(924\) | 18.2311 | + | 3.10649i | 0.599758 | + | 0.102196i | ||||
\(925\) | 0.793799 | + | 0.793799i | 0.0260999 | + | 0.0260999i | ||||
\(926\) | −5.68822 | − | 6.73945i | −0.186927 | − | 0.221472i | ||||
\(927\) | 53.7653 | 1.76588 | ||||||||
\(928\) | −16.8463 | + | 37.5283i | −0.553008 | + | 1.23193i | ||||
\(929\) | 3.65249 | 0.119834 | 0.0599171 | − | 0.998203i | \(-0.480916\pi\) | ||||
0.0599171 | + | 0.998203i | \(0.480916\pi\) | |||||||
\(930\) | −9.82605 | − | 11.6420i | −0.322209 | − | 0.381756i | ||||
\(931\) | −0.422385 | − | 0.422385i | −0.0138431 | − | 0.0138431i | ||||
\(932\) | 48.9270 | + | 8.33694i | 1.60266 | + | 0.273086i | ||||
\(933\) | −20.6371 | + | 20.6371i | −0.675629 | + | 0.675629i | ||||
\(934\) | −0.322904 | + | 3.81737i | −0.0105657 | + | 0.124908i | ||||
\(935\) | − | 24.9974i | − | 0.817502i | ||||||
\(936\) | −16.1100 | + | 62.2697i | −0.526570 | + | 2.03535i | ||||
\(937\) | 43.6027i | 1.42444i | 0.701958 | + | 0.712218i | \(0.252309\pi\) | ||||
−0.701958 | + | 0.712218i | \(0.747691\pi\) | |||||||
\(938\) | 5.71465 | + | 0.483392i | 0.186590 | + | 0.0157833i | ||||
\(939\) | −5.13814 | + | 5.13814i | −0.167677 | + | 0.167677i | ||||
\(940\) | 1.98027 | + | 2.79374i | 0.0645894 | + | 0.0911218i | ||||
\(941\) | −13.0694 | − | 13.0694i | −0.426052 | − | 0.426052i | 0.461229 | − | 0.887281i | \(-0.347409\pi\) |
−0.887281 | + | 0.461229i | \(0.847409\pi\) | |||||||
\(942\) | −11.3801 | + | 9.60498i | −0.370782 | + | 0.312947i | ||||
\(943\) | 15.1224 | 0.492453 | ||||||||
\(944\) | −30.1448 | + | 14.4817i | −0.981131 | + | 0.471340i | ||||
\(945\) | −1.51940 | −0.0494260 | ||||||||
\(946\) | 13.6066 | − | 11.4842i | 0.442389 | − | 0.373384i | ||||
\(947\) | 34.6394 | + | 34.6394i | 1.12563 | + | 1.12563i | 0.990880 | + | 0.134750i | \(0.0430232\pi\) |
0.134750 | + | 0.990880i | \(0.456977\pi\) | |||||||
\(948\) | −11.7534 | + | 8.33110i | −0.381733 | + | 0.270581i | ||||
\(949\) | 53.6302 | − | 53.6302i | 1.74091 | − | 1.74091i | ||||
\(950\) | 0.841763 | + | 0.0712032i | 0.0273104 | + | 0.00231014i | ||||
\(951\) | − | 75.0553i | − | 2.43383i | ||||||
\(952\) | 9.96203 | + | 16.9156i | 0.322871 | + | 0.548238i | ||||
\(953\) | − | 38.3932i | − | 1.24368i | −0.783145 | − | 0.621840i | \(-0.786386\pi\) | ||
0.783145 | − | 0.621840i | \(-0.213614\pi\) | |||||||
\(954\) | 2.68062 | − | 31.6903i | 0.0867882 | − | 1.02601i | ||||
\(955\) | 13.0362 | − | 13.0362i | 0.421842 | − | 0.421842i | ||||
\(956\) | −5.50030 | + | 32.2796i | −0.177892 | + | 1.04400i | ||||
\(957\) | 47.5477 | + | 47.5477i | 1.53700 | + | 1.53700i | ||||
\(958\) | −15.1571 | − | 17.9582i | −0.489703 | − | 0.580204i | ||||
\(959\) | 17.0771 | 0.551448 | ||||||||
\(960\) | 9.96099 | − | 17.9626i | 0.321489 | − | 0.579739i | ||||
\(961\) | −13.3957 | −0.432121 | ||||||||
\(962\) | 6.48310 | + | 7.68124i | 0.209024 | + | 0.247653i | ||||
\(963\) | 15.2471 | + | 15.2471i | 0.491332 | + | 0.491332i | ||||
\(964\) | 1.39649 | − | 8.19558i | 0.0449779 | − | 0.263962i | ||||
\(965\) | −4.05319 | + | 4.05319i | −0.130477 | + | 0.130477i | ||||
\(966\) | −0.772420 | + | 9.13154i | −0.0248522 | + | 0.293802i | ||||
\(967\) | 21.3385i | 0.686201i | 0.939299 | + | 0.343100i | \(0.111477\pi\) | ||||
−0.939299 | + | 0.343100i | \(0.888523\pi\) | |||||||
\(968\) | 2.82974 | + | 4.80492i | 0.0909513 | + | 0.154436i | ||||
\(969\) | 10.6445i | 0.341950i | ||||||||
\(970\) | −11.4245 | − | 0.966374i | −0.366818 | − | 0.0310284i | ||||
\(971\) | −12.9037 | + | 12.9037i | −0.414099 | + | 0.414099i | −0.883164 | − | 0.469065i | \(-0.844591\pi\) |
0.469065 | + | 0.883164i | \(0.344591\pi\) | |||||||
\(972\) | 36.2359 | − | 25.6849i | 1.16227 | − | 0.823844i | ||||
\(973\) | 11.0354 | + | 11.0354i | 0.353778 | + | 0.353778i | ||||
\(974\) | 0.580588 | − | 0.490027i | 0.0186032 | − | 0.0157015i | ||||
\(975\) | 16.2551 | 0.520581 | ||||||||
\(976\) | −15.4750 | − | 32.2124i | −0.495342 | − | 1.03109i | ||||
\(977\) | −27.6238 | −0.883763 | −0.441882 | − | 0.897073i | \(-0.645689\pi\) | ||||
−0.441882 | + | 0.897073i | \(0.645689\pi\) | |||||||
\(978\) | −27.4974 | + | 23.2083i | −0.879271 | + | 0.742121i | ||||
\(979\) | 6.45054 | + | 6.45054i | 0.206160 | + | 0.206160i | ||||
\(980\) | 1.15657 | + | 1.63167i | 0.0369452 | + | 0.0521218i | ||||
\(981\) | 13.7156 | − | 13.7156i | 0.437905 | − | 0.437905i | ||||
\(982\) | 27.6123 | + | 2.33567i | 0.881144 | + | 0.0745343i | ||||
\(983\) | 28.2366i | 0.900608i | 0.892875 | + | 0.450304i | \(0.148684\pi\) | ||||
−0.892875 | + | 0.450304i | \(0.851316\pi\) | |||||||
\(984\) | 10.8979 | − | 42.1234i | 0.347411 | − | 1.34285i | ||||
\(985\) | − | 2.44294i | − | 0.0778387i | ||||||
\(986\) | −6.01621 | + | 71.1236i | −0.191595 | + | 2.26504i | ||||
\(987\) | −3.10843 | + | 3.10843i | −0.0989423 | + | 0.0989423i | ||||
\(988\) | 7.45637 | + | 1.27053i | 0.237219 | + | 0.0404210i | ||||
\(989\) | 6.23876 | + | 6.23876i | 0.198381 | + | 0.198381i | ||||
\(990\) | −11.7998 | − | 13.9805i | −0.375022 | − | 0.444330i | ||||
\(991\) | −17.0447 | −0.541442 | −0.270721 | − | 0.962658i | \(-0.587262\pi\) | ||||
−0.270721 | + | 0.962658i | \(0.587262\pi\) | |||||||
\(992\) | 8.43798 | + | 22.1842i | 0.267906 | + | 0.704348i | ||||
\(993\) | −37.2070 | −1.18073 | ||||||||
\(994\) | −6.13416 | − | 7.26781i | −0.194564 | − | 0.230521i | ||||
\(995\) | −12.6426 | − | 12.6426i | −0.400798 | − | 0.400798i | ||||
\(996\) | 75.0454 | + | 12.7874i | 2.37791 | + | 0.405184i | ||||
\(997\) | −12.6924 | + | 12.6924i | −0.401971 | + | 0.401971i | −0.878927 | − | 0.476956i | \(-0.841740\pi\) |
0.476956 | + | 0.878927i | \(0.341740\pi\) | |||||||
\(998\) | 2.35718 | − | 27.8666i | 0.0746153 | − | 0.882101i | ||||
\(999\) | 1.70568i | 0.0539653i |
(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 | 560.2.bd.b.141.20 | ✓ | 52 | |
4.3 | odd | 2 | 2240.2.bd.b.1681.23 | 52 | |||
16.5 | even | 4 | inner | 560.2.bd.b.421.20 | yes | 52 | |
16.11 | odd | 4 | 2240.2.bd.b.561.23 | 52 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
560.2.bd.b.141.20 | ✓ | 52 | 1.1 | even | 1 | trivial | |
560.2.bd.b.421.20 | yes | 52 | 16.5 | even | 4 | inner | |
2240.2.bd.b.561.23 | 52 | 16.11 | odd | 4 | |||
2240.2.bd.b.1681.23 | 52 | 4.3 | odd | 2 |