Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [315,2,Mod(52,315)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(315, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([8, 3, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("315.52");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 315 = 3^{2} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 315.bs (of order \(12\), degree \(4\), 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: | \(2.51528766367\) |
Analytic rank: | \(0\) |
Dimension: | \(160\) |
Relative dimension: | \(40\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 52.17 | ||
Character | \(\chi\) | \(=\) | 315.52 |
Dual form | 315.2.bs.e.103.17 |
$q$-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 \(\left(\mathbb{Z}/315\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(136\) | \(281\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.333535 | − | 0.333535i | −0.235845 | − | 0.235845i | 0.579282 | − | 0.815127i | \(-0.303333\pi\) |
−0.815127 | + | 0.579282i | \(0.803333\pi\) | |||||||
\(3\) | 0.667654 | − | 1.59820i | 0.385470 | − | 0.922720i | ||||
\(4\) | − | 1.77751i | − | 0.888755i | ||||||
\(5\) | 1.47915 | − | 1.67694i | 0.661495 | − | 0.749950i | ||||
\(6\) | −0.755740 | + | 0.310369i | −0.308530 | + | 0.126708i | ||||
\(7\) | 2.25720 | − | 1.38023i | 0.853142 | − | 0.521679i | ||||
\(8\) | −1.25993 | + | 1.25993i | −0.445453 | + | 0.445453i | ||||
\(9\) | −2.10848 | − | 2.13409i | −0.702825 | − | 0.711362i | ||||
\(10\) | −1.05266 | + | 0.0659706i | −0.332882 | + | 0.0208617i | ||||
\(11\) | 2.19142 | + | 3.79566i | 0.660739 | + | 1.14443i | 0.980422 | + | 0.196909i | \(0.0630903\pi\) |
−0.319683 | + | 0.947525i | \(0.603576\pi\) | |||||||
\(12\) | −2.84081 | − | 1.18676i | −0.820072 | − | 0.342588i | ||||
\(13\) | −0.658316 | + | 2.45687i | −0.182584 | + | 0.681413i | 0.812551 | + | 0.582890i | \(0.198078\pi\) |
−0.995135 | + | 0.0985225i | \(0.968588\pi\) | |||||||
\(14\) | −1.21321 | − | 0.292499i | −0.324244 | − | 0.0781738i | ||||
\(15\) | −1.69252 | − | 3.48359i | −0.437008 | − | 0.899458i | ||||
\(16\) | −2.71456 | −0.678639 | ||||||||
\(17\) | 1.24657 | + | 4.65226i | 0.302337 | + | 1.12834i | 0.935213 | + | 0.354085i | \(0.115208\pi\) |
−0.632876 | + | 0.774253i | \(0.718126\pi\) | |||||||
\(18\) | −0.00854215 | + | 1.41504i | −0.00201340 | + | 0.333529i | ||||
\(19\) | 0.572230 | + | 0.991131i | 0.131279 | + | 0.227381i | 0.924170 | − | 0.381982i | \(-0.124758\pi\) |
−0.792891 | + | 0.609363i | \(0.791425\pi\) | |||||||
\(20\) | −2.98077 | − | 2.62920i | −0.666521 | − | 0.587906i | ||||
\(21\) | −0.698856 | − | 4.52897i | −0.152503 | − | 0.988303i | ||||
\(22\) | 0.535068 | − | 1.99690i | 0.114077 | − | 0.425740i | ||||
\(23\) | 0.794370 | + | 2.96463i | 0.165638 | + | 0.618168i | 0.997958 | + | 0.0638731i | \(0.0203453\pi\) |
−0.832320 | + | 0.554295i | \(0.812988\pi\) | |||||||
\(24\) | 1.17242 | + | 2.85482i | 0.239319 | + | 0.582737i | ||||
\(25\) | −0.624250 | − | 4.96088i | −0.124850 | − | 0.992176i | ||||
\(26\) | 1.03902 | − | 0.599880i | 0.203769 | − | 0.117646i | ||||
\(27\) | −4.81843 | + | 1.94493i | −0.927307 | + | 0.374302i | ||||
\(28\) | −2.45338 | − | 4.01220i | −0.463645 | − | 0.758234i | ||||
\(29\) | −2.79231 | − | 1.61214i | −0.518519 | − | 0.299367i | 0.217810 | − | 0.975991i | \(-0.430109\pi\) |
−0.736328 | + | 0.676624i | \(0.763442\pi\) | |||||||
\(30\) | −0.597381 | + | 1.72641i | −0.109066 | + | 0.315198i | ||||
\(31\) | − | 0.183484i | − | 0.0329547i | −0.999864 | − | 0.0164773i | \(-0.994755\pi\) | ||
0.999864 | − | 0.0164773i | \(-0.00524514\pi\) | |||||||
\(32\) | 3.42526 | + | 3.42526i | 0.605506 | + | 0.605506i | ||||
\(33\) | 7.52933 | − | 0.968144i | 1.31069 | − | 0.168532i | ||||
\(34\) | 1.13592 | − | 1.96746i | 0.194808 | − | 0.337417i | ||||
\(35\) | 1.02417 | − | 5.82676i | 0.173116 | − | 0.984902i | ||||
\(36\) | −3.79336 | + | 3.74784i | −0.632227 | + | 0.624639i | ||||
\(37\) | −0.855220 | + | 3.19173i | −0.140597 | + | 0.524716i | 0.859315 | + | 0.511447i | \(0.170890\pi\) |
−0.999912 | + | 0.0132691i | \(0.995776\pi\) | |||||||
\(38\) | 0.139718 | − | 0.521435i | 0.0226653 | − | 0.0845879i | ||||
\(39\) | 3.48704 | + | 2.69246i | 0.558373 | + | 0.431138i | ||||
\(40\) | 0.249205 | + | 3.97645i | 0.0394027 | + | 0.628732i | ||||
\(41\) | 4.26796 | − | 2.46411i | 0.666543 | − | 0.384829i | −0.128223 | − | 0.991745i | \(-0.540927\pi\) |
0.794765 | + | 0.606917i | \(0.207594\pi\) | |||||||
\(42\) | −1.27748 | + | 1.74366i | −0.197119 | + | 0.269053i | ||||
\(43\) | −2.74125 | − | 10.2305i | −0.418037 | − | 1.56014i | −0.778673 | − | 0.627430i | \(-0.784107\pi\) |
0.360635 | − | 0.932707i | \(-0.382560\pi\) | |||||||
\(44\) | 6.74681 | − | 3.89528i | 1.01712 | − | 0.587235i | ||||
\(45\) | −6.69748 | + | 0.379158i | −0.998401 | + | 0.0565215i | ||||
\(46\) | 0.723857 | − | 1.25376i | 0.106727 | − | 0.184856i | ||||
\(47\) | −5.98299 | + | 5.98299i | −0.872709 | + | 0.872709i | −0.992767 | − | 0.120058i | \(-0.961692\pi\) |
0.120058 | + | 0.992767i | \(0.461692\pi\) | |||||||
\(48\) | −1.81239 | + | 4.33840i | −0.261595 | + | 0.626194i | ||||
\(49\) | 3.18992 | − | 6.23093i | 0.455702 | − | 0.890132i | ||||
\(50\) | −1.44642 | + | 1.86283i | −0.204554 | + | 0.263445i | ||||
\(51\) | 8.26751 | + | 1.11383i | 1.15768 | + | 0.155968i | ||||
\(52\) | 4.36711 | + | 1.17016i | 0.605609 | + | 0.162272i | ||||
\(53\) | 2.39192 | + | 8.92678i | 0.328556 | + | 1.22619i | 0.910689 | + | 0.413093i | \(0.135552\pi\) |
−0.582133 | + | 0.813094i | \(0.697782\pi\) | |||||||
\(54\) | 2.25581 | + | 0.958411i | 0.306978 | + | 0.130423i | ||||
\(55\) | 9.60652 | + | 1.93945i | 1.29534 | + | 0.261515i | ||||
\(56\) | −1.10492 | + | 4.58291i | −0.147651 | + | 0.612418i | ||||
\(57\) | 1.96608 | − | 0.252804i | 0.260413 | − | 0.0334847i | ||||
\(58\) | 0.393627 | + | 1.46904i | 0.0516858 | + | 0.192894i | ||||
\(59\) | −4.65449 | −0.605963 | −0.302982 | − | 0.952996i | \(-0.597982\pi\) | ||||
−0.302982 | + | 0.952996i | \(0.597982\pi\) | |||||||
\(60\) | −6.19210 | + | 3.00848i | −0.799397 | + | 0.388392i | ||||
\(61\) | − | 8.65893i | − | 1.10866i | −0.832296 | − | 0.554331i | \(-0.812974\pi\) | ||
0.832296 | − | 0.554331i | \(-0.187026\pi\) | |||||||
\(62\) | −0.0611983 | + | 0.0611983i | −0.00777219 | + | 0.00777219i | ||||
\(63\) | −7.70479 | − | 1.90688i | −0.970713 | − | 0.240244i | ||||
\(64\) | 3.14423i | 0.393029i | ||||||||
\(65\) | 3.14627 | + | 4.73803i | 0.390247 | + | 0.587680i | ||||
\(66\) | −2.83420 | − | 2.18838i | −0.348866 | − | 0.269371i | ||||
\(67\) | 6.82613 | + | 6.82613i | 0.833945 | + | 0.833945i | 0.988054 | − | 0.154109i | \(-0.0492508\pi\) |
−0.154109 | + | 0.988054i | \(0.549251\pi\) | |||||||
\(68\) | 8.26943 | − | 2.21579i | 1.00282 | − | 0.268704i | ||||
\(69\) | 5.26843 | + | 0.709786i | 0.634244 | + | 0.0854481i | ||||
\(70\) | −2.28502 | + | 1.60183i | −0.273112 | + | 0.191455i | ||||
\(71\) | 3.16867 | 0.376052 | 0.188026 | − | 0.982164i | \(-0.439791\pi\) | ||||
0.188026 | + | 0.982164i | \(0.439791\pi\) | |||||||
\(72\) | 5.34533 | + | 0.0322680i | 0.629954 | + | 0.00380283i | ||||
\(73\) | −12.9431 | + | 3.46809i | −1.51487 | + | 0.405909i | −0.918051 | − | 0.396463i | \(-0.870237\pi\) |
−0.596824 | + | 0.802372i | \(0.703571\pi\) | |||||||
\(74\) | 1.34980 | − | 0.779306i | 0.156911 | − | 0.0905924i | ||||
\(75\) | −8.34525 | − | 2.31448i | −0.963626 | − | 0.267253i | ||||
\(76\) | 1.76174 | − | 1.01714i | 0.202086 | − | 0.116674i | ||||
\(77\) | 10.1854 | + | 5.54289i | 1.16073 | + | 0.631671i | ||||
\(78\) | −0.265020 | − | 2.06108i | −0.0300076 | − | 0.233371i | ||||
\(79\) | − | 11.6692i | − | 1.31289i | −0.754376 | − | 0.656443i | \(-0.772060\pi\) | ||
0.754376 | − | 0.656443i | \(-0.227940\pi\) | |||||||
\(80\) | −4.01523 | + | 4.55215i | −0.448916 | + | 0.508946i | ||||
\(81\) | −0.108656 | + | 8.99934i | −0.0120729 | + | 0.999927i | ||||
\(82\) | −2.24538 | − | 0.601647i | −0.247960 | − | 0.0664408i | ||||
\(83\) | −9.05156 | + | 2.42536i | −0.993538 | + | 0.266218i | −0.718736 | − | 0.695283i | \(-0.755279\pi\) |
−0.274802 | + | 0.961501i | \(0.588612\pi\) | |||||||
\(84\) | −8.05029 | + | 1.24222i | −0.878359 | + | 0.135538i | ||||
\(85\) | 9.64541 | + | 4.79095i | 1.04619 | + | 0.519652i | ||||
\(86\) | −2.49792 | + | 4.32653i | −0.269358 | + | 0.466542i | ||||
\(87\) | −4.44082 | + | 3.38631i | −0.476105 | + | 0.363051i | ||||
\(88\) | −7.54330 | − | 2.02122i | −0.804119 | − | 0.215463i | ||||
\(89\) | −2.18123 | − | 3.77800i | −0.231210 | − | 0.400467i | 0.726955 | − | 0.686685i | \(-0.240935\pi\) |
−0.958164 | + | 0.286218i | \(0.907602\pi\) | |||||||
\(90\) | 2.36030 | + | 2.10738i | 0.248798 | + | 0.222137i | ||||
\(91\) | 1.90510 | + | 6.45428i | 0.199709 | + | 0.676592i | ||||
\(92\) | 5.26965 | − | 1.41200i | 0.549399 | − | 0.147211i | ||||
\(93\) | −0.293244 | − | 0.122504i | −0.0304080 | − | 0.0127030i | ||||
\(94\) | 3.99107 | 0.411648 | ||||||||
\(95\) | 2.50848 | + | 0.506434i | 0.257364 | + | 0.0519590i | ||||
\(96\) | 7.76113 | − | 3.18736i | 0.792117 | − | 0.325308i | ||||
\(97\) | 4.14520 | + | 15.4701i | 0.420882 | + | 1.57075i | 0.772755 | + | 0.634704i | \(0.218878\pi\) |
−0.351874 | + | 0.936047i | \(0.614455\pi\) | |||||||
\(98\) | −3.14218 | + | 1.01428i | −0.317408 | + | 0.102458i | ||||
\(99\) | 3.47970 | − | 12.6797i | 0.349723 | − | 1.27436i | ||||
\(100\) | −8.81801 | + | 1.10961i | −0.881801 | + | 0.110961i | ||||
\(101\) | 3.23368 | − | 1.86696i | 0.321763 | − | 0.185770i | −0.330415 | − | 0.943836i | \(-0.607189\pi\) |
0.652178 | + | 0.758066i | \(0.273855\pi\) | |||||||
\(102\) | −2.38600 | − | 3.12900i | −0.236249 | − | 0.309817i | ||||
\(103\) | −0.663063 | + | 0.177667i | −0.0653335 | + | 0.0175061i | −0.291338 | − | 0.956620i | \(-0.594100\pi\) |
0.226004 | + | 0.974126i | \(0.427434\pi\) | |||||||
\(104\) | −2.26605 | − | 3.92492i | −0.222205 | − | 0.384870i | ||||
\(105\) | −8.62852 | − | 5.52708i | −0.842058 | − | 0.539388i | ||||
\(106\) | 2.17960 | − | 3.77518i | 0.211702 | − | 0.366678i | ||||
\(107\) | 3.71766 | − | 13.8745i | 0.359399 | − | 1.34130i | −0.515457 | − | 0.856915i | \(-0.672378\pi\) |
0.874857 | − | 0.484382i | \(-0.160955\pi\) | |||||||
\(108\) | 3.45713 | + | 8.56480i | 0.332663 | + | 0.824148i | ||||
\(109\) | 15.7341 | + | 9.08408i | 1.50705 | + | 0.870097i | 0.999966 | + | 0.00820196i | \(0.00261079\pi\) |
0.507086 | + | 0.861895i | \(0.330723\pi\) | |||||||
\(110\) | −2.55723 | − | 3.85098i | −0.243823 | − | 0.367177i | ||||
\(111\) | 4.53002 | + | 3.49778i | 0.429970 | + | 0.331995i | ||||
\(112\) | −6.12730 | + | 3.74672i | −0.578976 | + | 0.354032i | ||||
\(113\) | 5.19080 | + | 1.39087i | 0.488310 | + | 0.130842i | 0.494569 | − | 0.869138i | \(-0.335326\pi\) |
−0.00625951 | + | 0.999980i | \(0.501992\pi\) | |||||||
\(114\) | −0.740073 | − | 0.571435i | −0.0693142 | − | 0.0535198i | ||||
\(115\) | 6.14649 | + | 3.05301i | 0.573163 | + | 0.284695i | ||||
\(116\) | −2.86559 | + | 4.96335i | −0.266064 | + | 0.460836i | ||||
\(117\) | 6.63122 | − | 3.77535i | 0.613056 | − | 0.349031i | ||||
\(118\) | 1.55243 | + | 1.55243i | 0.142913 | + | 0.142913i | ||||
\(119\) | 9.23495 | + | 8.78053i | 0.846567 | + | 0.804910i | ||||
\(120\) | 6.52154 | + | 2.25661i | 0.595332 | + | 0.206000i | ||||
\(121\) | −4.10467 | + | 7.10950i | −0.373152 | + | 0.646319i | ||||
\(122\) | −2.88805 | + | 2.88805i | −0.261472 | + | 0.261472i | ||||
\(123\) | −1.08861 | − | 8.46621i | −0.0981568 | − | 0.763373i | ||||
\(124\) | −0.326144 | −0.0292886 | ||||||||
\(125\) | −9.24245 | − | 6.29104i | −0.826670 | − | 0.562688i | ||||
\(126\) | 1.93381 | + | 3.20583i | 0.172277 | + | 0.285598i | ||||
\(127\) | −10.5696 | − | 10.5696i | −0.937904 | − | 0.937904i | 0.0602778 | − | 0.998182i | \(-0.480801\pi\) |
−0.998182 | + | 0.0602778i | \(0.980801\pi\) | |||||||
\(128\) | 7.89923 | − | 7.89923i | 0.698200 | − | 0.698200i | ||||
\(129\) | −18.1806 | − | 2.44937i | −1.60071 | − | 0.215655i | ||||
\(130\) | 0.530905 | − | 2.62969i | 0.0465634 | − | 0.230639i | ||||
\(131\) | −19.5185 | − | 11.2690i | −1.70534 | − | 0.984577i | −0.940145 | − | 0.340775i | \(-0.889311\pi\) |
−0.765192 | − | 0.643802i | \(-0.777356\pi\) | |||||||
\(132\) | −1.72088 | − | 13.3834i | −0.149784 | − | 1.16488i | ||||
\(133\) | 2.65963 | + | 1.44737i | 0.230619 | + | 0.125503i | ||||
\(134\) | − | 4.55350i | − | 0.393363i | ||||||
\(135\) | −3.86563 | + | 10.9570i | −0.332700 | + | 0.943033i | ||||
\(136\) | −7.43211 | − | 4.29093i | −0.637298 | − | 0.367944i | ||||
\(137\) | 3.94806 | − | 14.7343i | 0.337305 | − | 1.25884i | −0.564043 | − | 0.825745i | \(-0.690755\pi\) |
0.901348 | − | 0.433095i | \(-0.142579\pi\) | |||||||
\(138\) | −1.52047 | − | 1.99394i | −0.129431 | − | 0.169736i | ||||
\(139\) | −3.11124 | − | 5.38882i | −0.263892 | − | 0.457074i | 0.703381 | − | 0.710813i | \(-0.251673\pi\) |
−0.967273 | + | 0.253739i | \(0.918339\pi\) | |||||||
\(140\) | −10.3571 | − | 1.82046i | −0.875336 | − | 0.153857i | ||||
\(141\) | 5.56744 | + | 13.5566i | 0.468863 | + | 1.14167i | ||||
\(142\) | −1.05686 | − | 1.05686i | −0.0886899 | − | 0.0886899i | ||||
\(143\) | −10.7681 | + | 2.88530i | −0.900472 | + | 0.241281i | ||||
\(144\) | 5.72358 | + | 5.79310i | 0.476965 | + | 0.482758i | ||||
\(145\) | −6.83370 | + | 2.29794i | −0.567508 | + | 0.190834i | ||||
\(146\) | 5.47370 | + | 3.16024i | 0.453007 | + | 0.261543i | ||||
\(147\) | −7.82850 | − | 9.25822i | −0.645683 | − | 0.763605i | ||||
\(148\) | 5.67332 | + | 1.52016i | 0.466344 | + | 0.124957i | ||||
\(149\) | −4.15088 | − | 2.39651i | −0.340053 | − | 0.196330i | 0.320242 | − | 0.947336i | \(-0.396236\pi\) |
−0.660295 | + | 0.751006i | \(0.729569\pi\) | |||||||
\(150\) | 2.01147 | + | 3.55539i | 0.164236 | + | 0.290296i | ||||
\(151\) | 1.65388 | + | 2.86460i | 0.134590 | + | 0.233118i | 0.925441 | − | 0.378892i | \(-0.123695\pi\) |
−0.790850 | + | 0.612009i | \(0.790361\pi\) | |||||||
\(152\) | −1.96973 | − | 0.527786i | −0.159766 | − | 0.0428091i | ||||
\(153\) | 7.29996 | − | 12.4695i | 0.590167 | − | 1.00810i | ||||
\(154\) | −1.54843 | − | 5.24592i | −0.124776 | − | 0.422728i | ||||
\(155\) | −0.307691 | − | 0.271400i | −0.0247144 | − | 0.0217993i | ||||
\(156\) | 4.78587 | − | 6.19824i | 0.383176 | − | 0.496256i | ||||
\(157\) | 2.11334 | − | 2.11334i | 0.168663 | − | 0.168663i | −0.617728 | − | 0.786392i | \(-0.711947\pi\) |
0.786392 | + | 0.617728i | \(0.211947\pi\) | |||||||
\(158\) | −3.89208 | + | 3.89208i | −0.309637 | + | 0.309637i | ||||
\(159\) | 15.8637 | + | 2.13723i | 1.25808 | + | 0.169493i | ||||
\(160\) | 10.8104 | − | 0.677490i | 0.854638 | − | 0.0535603i | ||||
\(161\) | 5.88493 | + | 5.59535i | 0.463797 | + | 0.440975i | ||||
\(162\) | 3.03783 | − | 2.96535i | 0.238675 | − | 0.232980i | ||||
\(163\) | 6.23321 | + | 1.67018i | 0.488222 | + | 0.130819i | 0.494529 | − | 0.869161i | \(-0.335341\pi\) |
−0.00630629 | + | 0.999980i | \(0.502007\pi\) | |||||||
\(164\) | −4.37997 | − | 7.58633i | −0.342018 | − | 0.592393i | ||||
\(165\) | 9.51346 | − | 14.0582i | 0.740622 | − | 1.09443i | ||||
\(166\) | 3.82795 | + | 2.21007i | 0.297107 | + | 0.171535i | ||||
\(167\) | −9.32441 | − | 2.49847i | −0.721545 | − | 0.193337i | −0.120684 | − | 0.992691i | \(-0.538509\pi\) |
−0.600861 | + | 0.799354i | \(0.705175\pi\) | |||||||
\(168\) | 6.58670 | + | 4.82568i | 0.508175 | + | 0.372309i | ||||
\(169\) | 5.65551 | + | 3.26521i | 0.435039 | + | 0.251170i | ||||
\(170\) | −1.61913 | − | 4.81503i | −0.124182 | − | 0.369296i | ||||
\(171\) | 0.908627 | − | 3.31096i | 0.0694845 | − | 0.253196i | ||||
\(172\) | −18.1848 | + | 4.87261i | −1.38658 | + | 0.371533i | ||||
\(173\) | −1.94670 | − | 1.94670i | −0.148005 | − | 0.148005i | 0.629221 | − | 0.777226i | \(-0.283374\pi\) |
−0.777226 | + | 0.629221i | \(0.783374\pi\) | |||||||
\(174\) | 2.61062 | + | 0.351714i | 0.197911 | + | 0.0266634i | ||||
\(175\) | −8.25622 | − | 10.3361i | −0.624112 | − | 0.781335i | ||||
\(176\) | −5.94874 | − | 10.3035i | −0.448403 | − | 0.776658i | ||||
\(177\) | −3.10759 | + | 7.43880i | −0.233581 | + | 0.559135i | ||||
\(178\) | −0.532578 | + | 1.98761i | −0.0399184 | + | 0.148978i | ||||
\(179\) | −10.9309 | − | 6.31098i | −0.817016 | − | 0.471705i | 0.0323701 | − | 0.999476i | \(-0.489694\pi\) |
−0.849387 | + | 0.527771i | \(0.823028\pi\) | |||||||
\(180\) | 0.673957 | + | 11.9048i | 0.0502338 | + | 0.887334i | ||||
\(181\) | − | 9.38149i | − | 0.697320i | −0.937249 | − | 0.348660i | \(-0.886637\pi\) | ||
0.937249 | − | 0.348660i | \(-0.113363\pi\) | |||||||
\(182\) | 1.51731 | − | 2.78814i | 0.112470 | − | 0.206671i | ||||
\(183\) | −13.8387 | − | 5.78117i | −1.02298 | − | 0.427356i | ||||
\(184\) | −4.73608 | − | 2.73438i | −0.349148 | − | 0.201581i | ||||
\(185\) | 4.08733 | + | 6.15518i | 0.300507 | + | 0.452538i | ||||
\(186\) | 0.0569477 | + | 0.138666i | 0.00417561 | + | 0.0101675i | ||||
\(187\) | −14.9266 | + | 14.9266i | −1.09154 | + | 1.09154i | ||||
\(188\) | 10.6348 | + | 10.6348i | 0.775624 | + | 0.775624i | ||||
\(189\) | −8.19170 | + | 11.0407i | −0.595859 | + | 0.803089i | ||||
\(190\) | −0.667751 | − | 1.00558i | −0.0484438 | − | 0.0729523i | ||||
\(191\) | −18.1657 | −1.31442 | −0.657211 | − | 0.753707i | \(-0.728264\pi\) | ||||
−0.657211 | + | 0.753707i | \(0.728264\pi\) | |||||||
\(192\) | 5.02510 | + | 2.09926i | 0.362655 | + | 0.151501i | ||||
\(193\) | 3.51448 | − | 3.51448i | 0.252978 | − | 0.252978i | −0.569213 | − | 0.822190i | \(-0.692752\pi\) |
0.822190 | + | 0.569213i | \(0.192752\pi\) | |||||||
\(194\) | 3.77725 | − | 6.54239i | 0.271191 | − | 0.469716i | ||||
\(195\) | 9.67293 | − | 1.86501i | 0.692693 | − | 0.133556i | ||||
\(196\) | −11.0755 | − | 5.67010i | −0.791109 | − | 0.405007i | ||||
\(197\) | 11.6177 | + | 11.6177i | 0.827724 | + | 0.827724i | 0.987202 | − | 0.159478i | \(-0.0509810\pi\) |
−0.159478 | + | 0.987202i | \(0.550981\pi\) | |||||||
\(198\) | −5.38973 | + | 3.06853i | −0.383032 | + | 0.218071i | ||||
\(199\) | 4.00776 | − | 6.94165i | 0.284103 | − | 0.492080i | −0.688288 | − | 0.725437i | \(-0.741638\pi\) |
0.972391 | + | 0.233357i | \(0.0749710\pi\) | |||||||
\(200\) | 7.03687 | + | 5.46385i | 0.497582 | + | 0.386353i | ||||
\(201\) | 15.4670 | − | 6.35202i | 1.09096 | − | 0.448037i | ||||
\(202\) | −1.70124 | − | 0.455846i | −0.119699 | − | 0.0320732i | ||||
\(203\) | −8.52793 | + | 0.215111i | −0.598544 | + | 0.0150978i | ||||
\(204\) | 1.97985 | − | 14.6956i | 0.138617 | − | 1.02890i | ||||
\(205\) | 2.18078 | − | 10.8019i | 0.152312 | − | 0.754436i | ||||
\(206\) | 0.280413 | + | 0.161896i | 0.0195373 | + | 0.0112799i | ||||
\(207\) | 4.65187 | − | 7.94610i | 0.323327 | − | 0.552292i | ||||
\(208\) | 1.78704 | − | 6.66931i | 0.123909 | − | 0.462434i | ||||
\(209\) | −2.50800 | + | 4.34398i | −0.173482 | + | 0.300479i | ||||
\(210\) | 1.03444 | + | 4.72138i | 0.0713831 | + | 0.325806i | ||||
\(211\) | 10.7899 | + | 18.6886i | 0.742807 | + | 1.28658i | 0.951212 | + | 0.308537i | \(0.0998392\pi\) |
−0.208406 | + | 0.978042i | \(0.566827\pi\) | |||||||
\(212\) | 15.8674 | − | 4.25166i | 1.08978 | − | 0.292006i | ||||
\(213\) | 2.11558 | − | 5.06417i | 0.144957 | − | 0.346991i | ||||
\(214\) | −5.86759 | + | 3.38765i | −0.401100 | + | 0.231575i | ||||
\(215\) | −21.2106 | − | 10.5355i | −1.44655 | − | 0.718515i | ||||
\(216\) | 3.62041 | − | 8.52136i | 0.246337 | − | 0.579805i | ||||
\(217\) | −0.253250 | − | 0.414160i | −0.0171918 | − | 0.0281150i | ||||
\(218\) | −2.21801 | − | 8.27772i | −0.150223 | − | 0.560638i | ||||
\(219\) | −3.09881 | + | 23.0011i | −0.209398 | + | 1.55427i | ||||
\(220\) | 3.44739 | − | 17.0757i | 0.232423 | − | 1.15124i | ||||
\(221\) | −12.2506 | −0.824066 | ||||||||
\(222\) | −0.344288 | − | 2.67755i | −0.0231071 | − | 0.179705i | ||||
\(223\) | −17.7714 | + | 4.76182i | −1.19006 | + | 0.318875i | −0.798909 | − | 0.601452i | \(-0.794589\pi\) |
−0.391149 | + | 0.920327i | \(0.627922\pi\) | |||||||
\(224\) | 12.4592 | + | 3.00385i | 0.832462 | + | 0.200703i | ||||
\(225\) | −9.27073 | + | 11.7921i | −0.618049 | + | 0.786140i | ||||
\(226\) | −1.26741 | − | 2.19522i | −0.0843068 | − | 0.146024i | ||||
\(227\) | 12.2817 | + | 3.29086i | 0.815162 | + | 0.218422i | 0.642230 | − | 0.766512i | \(-0.278009\pi\) |
0.172932 | + | 0.984934i | \(0.444676\pi\) | |||||||
\(228\) | −0.449362 | − | 3.49472i | −0.0297597 | − | 0.231443i | ||||
\(229\) | −13.5544 | + | 23.4769i | −0.895701 | + | 1.55140i | −0.0627668 | + | 0.998028i | \(0.519992\pi\) |
−0.832934 | + | 0.553372i | \(0.813341\pi\) | |||||||
\(230\) | −1.03178 | − | 3.06835i | −0.0680338 | − | 0.202321i | ||||
\(231\) | 15.6589 | − | 12.5775i | 1.03028 | − | 0.827540i | ||||
\(232\) | 5.54930 | − | 1.48693i | 0.364329 | − | 0.0976218i | ||||
\(233\) | 17.2072 | + | 4.61065i | 1.12728 | + | 0.302054i | 0.773826 | − | 0.633398i | \(-0.218340\pi\) |
0.353454 | + | 0.935452i | \(0.385007\pi\) | |||||||
\(234\) | −3.47095 | − | 0.952532i | −0.226903 | − | 0.0622690i | ||||
\(235\) | 1.18339 | + | 18.8828i | 0.0771958 | + | 1.23178i | ||||
\(236\) | 8.27340i | 0.538553i | ||||||||
\(237\) | −18.6497 | − | 7.79098i | −1.21143 | − | 0.506078i | ||||
\(238\) | −0.151567 | − | 6.00879i | −0.00982465 | − | 0.389492i | ||||
\(239\) | 13.1142 | − | 7.57150i | 0.848289 | − | 0.489760i | −0.0117841 | − | 0.999931i | \(-0.503751\pi\) |
0.860073 | + | 0.510171i | \(0.170418\pi\) | |||||||
\(240\) | 4.59445 | + | 9.45639i | 0.296571 | + | 0.610407i | ||||
\(241\) | 6.06381 | − | 3.50094i | 0.390604 | − | 0.225515i | −0.291818 | − | 0.956474i | \(-0.594260\pi\) |
0.682422 | + | 0.730959i | \(0.260927\pi\) | |||||||
\(242\) | 3.74032 | − | 1.00222i | 0.240437 | − | 0.0644248i | ||||
\(243\) | 14.3102 | + | 6.18210i | 0.917999 | + | 0.396582i | ||||
\(244\) | −15.3913 | −0.985328 | ||||||||
\(245\) | −5.73053 | − | 14.5657i | −0.366110 | − | 0.930572i | ||||
\(246\) | −2.46069 | + | 3.18687i | −0.156888 | + | 0.203187i | ||||
\(247\) | −2.81179 | + | 0.753416i | −0.178910 | + | 0.0479387i | ||||
\(248\) | 0.231177 | + | 0.231177i | 0.0146798 | + | 0.0146798i | ||||
\(249\) | −2.16711 | + | 16.0855i | −0.137335 | + | 1.01938i | ||||
\(250\) | 0.984397 | + | 5.18096i | 0.0622587 | + | 0.327672i | ||||
\(251\) | 6.97675i | 0.440369i | 0.975458 | + | 0.220184i | \(0.0706659\pi\) | ||||
−0.975458 | + | 0.220184i | \(0.929334\pi\) | |||||||
\(252\) | −3.38949 | + | 13.6953i | −0.213518 | + | 0.862725i | ||||
\(253\) | −9.51191 | + | 9.51191i | −0.598009 | + | 0.598009i | ||||
\(254\) | 7.05068i | 0.442399i | ||||||||
\(255\) | 14.0967 | − | 12.2166i | 0.882769 | − | 0.765032i | ||||
\(256\) | 1.01912 | 0.0636951 | ||||||||
\(257\) | −0.592855 | − | 2.21257i | −0.0369813 | − | 0.138016i | 0.944967 | − | 0.327166i | \(-0.106094\pi\) |
−0.981948 | + | 0.189150i | \(0.939427\pi\) | |||||||
\(258\) | 5.24691 | + | 6.88080i | 0.326658 | + | 0.428380i | ||||
\(259\) | 2.47492 | + | 8.38477i | 0.153784 | + | 0.521004i | ||||
\(260\) | 8.42188 | − | 5.59253i | 0.522303 | − | 0.346834i | ||||
\(261\) | 2.44707 | + | 9.35819i | 0.151470 | + | 0.579257i | ||||
\(262\) | 2.75149 | + | 10.2687i | 0.169987 | + | 0.634402i | ||||
\(263\) | −4.06739 | − | 1.08985i | −0.250806 | − | 0.0672033i | 0.131225 | − | 0.991353i | \(-0.458109\pi\) |
−0.382032 | + | 0.924149i | \(0.624775\pi\) | |||||||
\(264\) | −8.26663 | + | 10.7062i | −0.508776 | + | 0.658922i | ||||
\(265\) | 18.5077 | + | 9.19290i | 1.13692 | + | 0.564716i | ||||
\(266\) | −0.404330 | − | 1.36983i | −0.0247911 | − | 0.0839895i | ||||
\(267\) | −7.49430 | + | 0.963640i | −0.458644 | + | 0.0589738i | ||||
\(268\) | 12.1335 | − | 12.1335i | 0.741172 | − | 0.741172i | ||||
\(269\) | −11.9594 | + | 20.7143i | −0.729177 | + | 1.26297i | 0.228054 | + | 0.973649i | \(0.426764\pi\) |
−0.957231 | + | 0.289324i | \(0.906570\pi\) | |||||||
\(270\) | 4.94388 | − | 2.36523i | 0.300875 | − | 0.143944i | ||||
\(271\) | −3.41746 | + | 1.97307i | −0.207596 | + | 0.119855i | −0.600193 | − | 0.799855i | \(-0.704910\pi\) |
0.392598 | + | 0.919710i | \(0.371576\pi\) | |||||||
\(272\) | −3.38388 | − | 12.6288i | −0.205178 | − | 0.765735i | ||||
\(273\) | 11.5872 | + | 1.26450i | 0.701287 | + | 0.0765309i | ||||
\(274\) | −6.23123 | + | 3.59760i | −0.376442 | + | 0.217339i | ||||
\(275\) | 17.4618 | − | 13.2408i | 1.05299 | − | 0.798452i | ||||
\(276\) | 1.26165 | − | 9.36468i | 0.0759424 | − | 0.563688i | ||||
\(277\) | −4.32841 | + | 16.1538i | −0.260069 | + | 0.970590i | 0.705131 | + | 0.709077i | \(0.250888\pi\) |
−0.965200 | + | 0.261513i | \(0.915778\pi\) | |||||||
\(278\) | −0.759653 | + | 2.83506i | −0.0455610 | + | 0.170036i | ||||
\(279\) | −0.391571 | + | 0.386871i | −0.0234427 | + | 0.0231614i | ||||
\(280\) | 6.05093 | + | 8.63169i | 0.361612 | + | 0.515842i | ||||
\(281\) | −4.53249 | + | 7.85050i | −0.270385 | + | 0.468321i | −0.968961 | − | 0.247215i | \(-0.920484\pi\) |
0.698575 | + | 0.715537i | \(0.253818\pi\) | |||||||
\(282\) | 2.66465 | − | 6.37852i | 0.158678 | − | 0.379836i | ||||
\(283\) | 13.4963 | + | 13.4963i | 0.802269 | + | 0.802269i | 0.983450 | − | 0.181181i | \(-0.0579919\pi\) |
−0.181181 | + | 0.983450i | \(0.557992\pi\) | |||||||
\(284\) | − | 5.63234i | − | 0.334218i | ||||||
\(285\) | 2.48418 | − | 3.67092i | 0.147150 | − | 0.217447i | ||||
\(286\) | 4.55388 | + | 2.62918i | 0.269276 | + | 0.155467i | ||||
\(287\) | 6.23260 | − | 11.4528i | 0.367899 | − | 0.676035i | ||||
\(288\) | 0.0877242 | − | 14.5319i | 0.00516920 | − | 0.856299i | ||||
\(289\) | −5.36714 | + | 3.09872i | −0.315714 | + | 0.182277i | ||||
\(290\) | 3.04572 | + | 1.51283i | 0.178851 | + | 0.0888366i | ||||
\(291\) | 27.4919 | + | 3.70382i | 1.61160 | + | 0.217122i | ||||
\(292\) | 6.16456 | + | 23.0065i | 0.360754 | + | 1.34635i | ||||
\(293\) | −4.73297 | + | 17.6637i | −0.276503 | + | 1.03192i | 0.678324 | + | 0.734763i | \(0.262706\pi\) |
−0.954827 | + | 0.297161i | \(0.903960\pi\) | |||||||
\(294\) | −0.476863 | + | 5.69901i | −0.0278112 | + | 0.332373i | ||||
\(295\) | −6.88468 | + | 7.80530i | −0.400841 | + | 0.454442i | ||||
\(296\) | −2.94383 | − | 5.09887i | −0.171107 | − | 0.296366i | ||||
\(297\) | −17.9415 | − | 14.0269i | −1.04107 | − | 0.813925i | ||||
\(298\) | 0.585142 | + | 2.18378i | 0.0338964 | + | 0.126503i | ||||
\(299\) | −7.80665 | −0.451470 | ||||||||
\(300\) | −4.11400 | + | 14.8338i | −0.237522 | + | 0.856427i | ||||
\(301\) | −20.3080 | − | 19.3087i | −1.17054 | − | 1.11294i | ||||
\(302\) | 0.403817 | − | 1.50707i | 0.0232371 | − | 0.0867220i | ||||
\(303\) | −0.824802 | − | 6.41454i | −0.0473836 | − | 0.368506i | ||||
\(304\) | −1.55335 | − | 2.69048i | −0.0890908 | − | 0.154310i | ||||
\(305\) | −14.5205 | − | 12.8078i | −0.831441 | − | 0.733374i | ||||
\(306\) | −6.59379 | + | 1.72421i | −0.376942 | + | 0.0985664i | ||||
\(307\) | 17.8602 | − | 17.8602i | 1.01934 | − | 1.01934i | 0.0195279 | − | 0.999809i | \(-0.493784\pi\) |
0.999809 | − | 0.0195279i | \(-0.00621633\pi\) | |||||||
\(308\) | 9.85253 | − | 18.1046i | 0.561400 | − | 1.03161i | ||||
\(309\) | −0.158749 | + | 1.17833i | −0.00903093 | + | 0.0670326i | ||||
\(310\) | 0.0121045 | + | 0.193147i | 0.000687492 | + | 0.0109700i | ||||
\(311\) | 5.21765i | 0.295866i | 0.988997 | + | 0.147933i | \(0.0472620\pi\) | ||||
−0.988997 | + | 0.147933i | \(0.952738\pi\) | |||||||
\(312\) | −7.78573 | + | 1.00111i | −0.440780 | + | 0.0566769i | ||||
\(313\) | 4.91025 | + | 4.91025i | 0.277543 | + | 0.277543i | 0.832128 | − | 0.554584i | \(-0.187123\pi\) |
−0.554584 | + | 0.832128i | \(0.687123\pi\) | |||||||
\(314\) | −1.40975 | −0.0795567 | ||||||||
\(315\) | −14.5942 | + | 10.0999i | −0.822292 | + | 0.569066i | ||||
\(316\) | −20.7421 | −1.16683 | ||||||||
\(317\) | −8.62273 | − | 8.62273i | −0.484301 | − | 0.484301i | 0.422201 | − | 0.906502i | \(-0.361258\pi\) |
−0.906502 | + | 0.422201i | \(0.861258\pi\) | |||||||
\(318\) | −4.57827 | − | 6.00395i | −0.256736 | − | 0.336685i | ||||
\(319\) | − | 14.1315i | − | 0.791214i | ||||||
\(320\) | 5.27268 | + | 4.65078i | 0.294752 | + | 0.259986i | ||||
\(321\) | −19.6921 | − | 15.2049i | −1.09910 | − | 0.848655i | ||||
\(322\) | −0.0965855 | − | 3.82907i | −0.00538250 | − | 0.213386i | ||||
\(323\) | −3.89767 | + | 3.89767i | −0.216872 | + | 0.216872i | ||||
\(324\) | 15.9964 | + | 0.193137i | 0.888690 | + | 0.0107299i | ||||
\(325\) | 12.5992 | + | 1.73213i | 0.698877 | + | 0.0960811i | ||||
\(326\) | −1.52193 | − | 2.63605i | −0.0842917 | − | 0.145998i | ||||
\(327\) | 25.0231 | − | 19.0812i | 1.38378 | − | 1.05519i | ||||
\(328\) | −2.27273 | + | 8.48193i | −0.125490 | + | 0.468336i | ||||
\(329\) | −5.24690 | + | 21.7627i | −0.289271 | + | 1.19982i | ||||
\(330\) | −7.86198 | + | 1.51584i | −0.432788 | + | 0.0834445i | ||||
\(331\) | −23.7736 | −1.30671 | −0.653356 | − | 0.757051i | \(-0.726640\pi\) | ||||
−0.653356 | + | 0.757051i | \(0.726640\pi\) | |||||||
\(332\) | 4.31110 | + | 16.0892i | 0.236602 | + | 0.883011i | ||||
\(333\) | 8.61463 | − | 4.90456i | 0.472079 | − | 0.268768i | ||||
\(334\) | 2.27669 | + | 3.94334i | 0.124575 | + | 0.215770i | ||||
\(335\) | 21.5439 | − | 1.35016i | 1.17707 | − | 0.0737669i | ||||
\(336\) | 1.89708 | + | 12.2942i | 0.103494 | + | 0.670701i | ||||
\(337\) | 4.41431 | − | 16.4744i | 0.240463 | − | 0.897420i | −0.735147 | − | 0.677908i | \(-0.762887\pi\) |
0.975610 | − | 0.219512i | \(-0.0704465\pi\) | |||||||
\(338\) | −0.797247 | − | 2.97537i | −0.0433645 | − | 0.161839i | ||||
\(339\) | 5.68855 | − | 7.36731i | 0.308960 | − | 0.400138i | ||||
\(340\) | 8.51596 | − | 17.1448i | 0.461843 | − | 0.929808i | ||||
\(341\) | 0.696442 | − | 0.402091i | 0.0377144 | − | 0.0217744i | ||||
\(342\) | −1.40738 | + | 0.801263i | −0.0761024 | + | 0.0433273i | ||||
\(343\) | −1.39985 | − | 18.4673i | −0.0755846 | − | 0.997139i | ||||
\(344\) | 16.3435 | + | 9.43593i | 0.881183 | + | 0.508751i | ||||
\(345\) | 8.98305 | − | 7.78496i | 0.483631 | − | 0.419128i | ||||
\(346\) | 1.29859i | 0.0698124i | ||||||||
\(347\) | 6.11801 | + | 6.11801i | 0.328432 | + | 0.328432i | 0.851990 | − | 0.523558i | \(-0.175396\pi\) |
−0.523558 | + | 0.851990i | \(0.675396\pi\) | |||||||
\(348\) | 6.01920 | + | 7.89359i | 0.322663 | + | 0.423141i | ||||
\(349\) | −8.10283 | + | 14.0345i | −0.433735 | + | 0.751250i | −0.997191 | − | 0.0748953i | \(-0.976138\pi\) |
0.563457 | + | 0.826145i | \(0.309471\pi\) | |||||||
\(350\) | −0.693708 | + | 6.20118i | −0.0370803 | + | 0.331467i | ||||
\(351\) | −1.60639 | − | 13.1186i | −0.0857429 | − | 0.700220i | ||||
\(352\) | −5.49492 | + | 20.5073i | −0.292880 | + | 1.09304i | ||||
\(353\) | −2.12963 | + | 7.94789i | −0.113349 | + | 0.423024i | −0.999158 | − | 0.0410260i | \(-0.986937\pi\) |
0.885809 | + | 0.464049i | \(0.153604\pi\) | |||||||
\(354\) | 3.51759 | − | 1.44461i | 0.186958 | − | 0.0767801i | ||||
\(355\) | 4.68693 | − | 5.31367i | 0.248757 | − | 0.282020i | ||||
\(356\) | −6.71543 | + | 3.87715i | −0.355917 | + | 0.205489i | ||||
\(357\) | 20.1988 | − | 8.89693i | 1.06903 | − | 0.470876i | ||||
\(358\) | 1.54092 | + | 5.75078i | 0.0814399 | + | 0.303938i | ||||
\(359\) | −5.59954 | + | 3.23290i | −0.295533 | + | 0.170626i | −0.640434 | − | 0.768013i | \(-0.721246\pi\) |
0.344902 | + | 0.938639i | \(0.387912\pi\) | |||||||
\(360\) | 7.96065 | − | 8.91607i | 0.419563 | − | 0.469918i | ||||
\(361\) | 8.84511 | − | 15.3202i | 0.465532 | − | 0.806325i | ||||
\(362\) | −3.12905 | + | 3.12905i | −0.164459 | + | 0.164459i | ||||
\(363\) | 8.62190 | + | 11.3068i | 0.452532 | + | 0.593452i | ||||
\(364\) | 11.4725 | − | 3.38633i | 0.601324 | − | 0.177492i | ||||
\(365\) | −13.3290 | + | 26.8346i | −0.697669 | + | 1.40459i | ||||
\(366\) | 2.68746 | + | 6.54390i | 0.140476 | + | 0.342055i | ||||
\(367\) | −16.5797 | − | 4.44253i | −0.865455 | − | 0.231898i | −0.201334 | − | 0.979523i | \(-0.564528\pi\) |
−0.664121 | + | 0.747625i | \(0.731194\pi\) | |||||||
\(368\) | −2.15636 | − | 8.04765i | −0.112408 | − | 0.419513i | ||||
\(369\) | −14.2575 | − | 3.91268i | −0.742216 | − | 0.203686i | ||||
\(370\) | 0.689700 | − | 3.41623i | 0.0358558 | − | 0.177602i | ||||
\(371\) | 17.7201 | + | 16.8481i | 0.919981 | + | 0.874711i | ||||
\(372\) | −0.217752 | + | 0.521243i | −0.0112899 | + | 0.0270252i | ||||
\(373\) | −0.582516 | − | 2.17398i | −0.0301615 | − | 0.112564i | 0.949204 | − | 0.314661i | \(-0.101891\pi\) |
−0.979365 | + | 0.202097i | \(0.935224\pi\) | |||||||
\(374\) | 9.95709 | 0.514869 | ||||||||
\(375\) | −16.2251 | + | 10.5710i | −0.837860 | + | 0.545885i | ||||
\(376\) | − | 15.0763i | − | 0.777501i | ||||||
\(377\) | 5.79904 | − | 5.79904i | 0.298666 | − | 0.298666i | ||||
\(378\) | 6.41466 | − | 0.950224i | 0.329934 | − | 0.0488742i | ||||
\(379\) | − | 1.63972i | − | 0.0842266i | −0.999113 | − | 0.0421133i | \(-0.986591\pi\) | ||
0.999113 | − | 0.0421133i | \(-0.0134090\pi\) | |||||||
\(380\) | 0.900191 | − | 4.45884i | 0.0461788 | − | 0.228734i | ||||
\(381\) | −23.9492 | + | 9.83552i | −1.22696 | + | 0.503889i | ||||
\(382\) | 6.05888 | + | 6.05888i | 0.309999 | + | 0.309999i | ||||
\(383\) | 13.8954 | − | 3.72327i | 0.710023 | − | 0.190250i | 0.114308 | − | 0.993445i | \(-0.463535\pi\) |
0.595716 | + | 0.803195i | \(0.296868\pi\) | |||||||
\(384\) | −7.35058 | − | 17.8985i | −0.375108 | − | 0.913378i | ||||
\(385\) | 24.3607 | − | 8.88151i | 1.24154 | − | 0.452644i | ||||
\(386\) | −2.34440 | −0.119327 | ||||||||
\(387\) | −16.0529 | + | 27.4208i | −0.816015 | + | 1.39388i | ||||
\(388\) | 27.4983 | − | 7.36814i | 1.39601 | − | 0.374060i | ||||
\(389\) | −28.9749 | + | 16.7286i | −1.46908 | + | 0.848176i | −0.999399 | − | 0.0346585i | \(-0.988966\pi\) |
−0.469684 | + | 0.882834i | \(0.655632\pi\) | |||||||
\(390\) | −3.84830 | − | 2.60421i | −0.194866 | − | 0.131869i | ||||
\(391\) | −12.8020 | + | 7.39123i | −0.647424 | + | 0.373790i | ||||
\(392\) | 3.83146 | + | 11.8696i | 0.193518 | + | 0.599506i | ||||
\(393\) | −31.0417 | + | 23.6706i | −1.56585 | + | 1.19402i | ||||
\(394\) | − | 7.74979i | − | 0.390429i | ||||||
\(395\) | −19.5685 | − | 17.2604i | −0.984599 | − | 0.868467i | ||||
\(396\) | −22.5384 | − | 6.18520i | −1.13259 | − | 0.310818i | ||||
\(397\) | 17.2664 | + | 4.62651i | 0.866575 | + | 0.232198i | 0.664606 | − | 0.747194i | \(-0.268599\pi\) |
0.201969 | + | 0.979392i | \(0.435266\pi\) | |||||||
\(398\) | −3.65201 | + | 0.978553i | −0.183059 | + | 0.0490504i | ||||
\(399\) | 4.08890 | − | 3.28427i | 0.204701 | − | 0.164419i | ||||
\(400\) | 1.69456 | + | 13.4666i | 0.0847281 | + | 0.673329i | ||||
\(401\) | 0.704740 | − | 1.22065i | 0.0351930 | − | 0.0609561i | −0.847892 | − | 0.530168i | \(-0.822129\pi\) |
0.883085 | + | 0.469212i | \(0.155462\pi\) | |||||||
\(402\) | −7.27740 | − | 3.04016i | −0.362964 | − | 0.151630i | ||||
\(403\) | 0.450796 | + | 0.120790i | 0.0224557 | + | 0.00601700i | ||||
\(404\) | −3.31855 | − | 5.74789i | −0.165104 | − | 0.285968i | ||||
\(405\) | 14.9306 | + | 13.4936i | 0.741909 | + | 0.670500i | ||||
\(406\) | 2.91611 | + | 2.77261i | 0.144724 | + | 0.137603i | ||||
\(407\) | −13.9888 | + | 3.74830i | −0.693401 | + | 0.185796i | ||||
\(408\) | −11.8198 | + | 9.01313i | −0.585169 | + | 0.446216i | ||||
\(409\) | 39.6926 | 1.96267 | 0.981336 | − | 0.192303i | \(-0.0615957\pi\) | ||||
0.981336 | + | 0.192303i | \(0.0615957\pi\) | |||||||
\(410\) | −4.33017 | + | 2.87544i | −0.213852 | + | 0.142008i | ||||
\(411\) | −20.9125 | − | 16.1472i | −1.03154 | − | 0.796484i | ||||
\(412\) | 0.315805 | + | 1.17860i | 0.0155586 | + | 0.0580655i | ||||
\(413\) | −10.5061 | + | 6.42428i | −0.516973 | + | 0.316118i | ||||
\(414\) | −4.20186 | + | 1.09874i | −0.206510 | + | 0.0540002i | ||||
\(415\) | −9.32141 | + | 18.7664i | −0.457570 | + | 0.921205i | ||||
\(416\) | −10.6703 | + | 6.16051i | −0.523155 | + | 0.302044i | ||||
\(417\) | −10.6896 | + | 1.37451i | −0.523474 | + | 0.0673099i | ||||
\(418\) | 2.28537 | − | 0.612363i | 0.111781 | − | 0.0299517i | ||||
\(419\) | −12.9847 | − | 22.4901i | −0.634343 | − | 1.09871i | −0.986654 | − | 0.162831i | \(-0.947938\pi\) |
0.352312 | − | 0.935883i | \(-0.385396\pi\) | |||||||
\(420\) | −9.82443 | + | 15.3373i | −0.479383 | + | 0.748383i | ||||
\(421\) | 16.4814 | − | 28.5467i | 0.803255 | − | 1.39128i | −0.114208 | − | 0.993457i | \(-0.536433\pi\) |
0.917463 | − | 0.397822i | \(-0.130234\pi\) | |||||||
\(422\) | 2.63451 | − | 9.83211i | 0.128246 | − | 0.478620i | ||||
\(423\) | 25.3832 | + | 0.153230i | 1.23417 | + | 0.00745031i | ||||
\(424\) | −14.2608 | − | 8.23346i | −0.692564 | − | 0.399852i | ||||
\(425\) | 22.3011 | − | 9.08824i | 1.08176 | − | 0.440845i | ||||
\(426\) | −2.39469 | + | 0.983457i | −0.116023 | + | 0.0476487i | ||||
\(427\) | −11.9513 | − | 19.5449i | −0.578366 | − | 0.945846i | ||||
\(428\) | −24.6620 | − | 6.60817i | −1.19208 | − | 0.319418i | ||||
\(429\) | −2.57807 | + | 19.1359i | −0.124471 | + | 0.923890i | ||||
\(430\) | 3.56053 | + | 10.5884i | 0.171704 | + | 0.510620i | ||||
\(431\) | 9.59692 | − | 16.6224i | 0.462267 | − | 0.800670i | −0.536806 | − | 0.843706i | \(-0.680369\pi\) |
0.999074 | + | 0.0430351i | \(0.0137027\pi\) | |||||||
\(432\) | 13.0799 | − | 5.27963i | 0.629307 | − | 0.254016i | ||||
\(433\) | −15.9138 | − | 15.9138i | −0.764768 | − | 0.764768i | 0.212412 | − | 0.977180i | \(-0.431868\pi\) |
−0.977180 | + | 0.212412i | \(0.931868\pi\) | |||||||
\(434\) | −0.0536689 | + | 0.222605i | −0.00257619 | + | 0.0106854i | ||||
\(435\) | −0.889981 | + | 12.4558i | −0.0426713 | + | 0.597211i | ||||
\(436\) | 16.1470 | − | 27.9675i | 0.773303 | − | 1.33940i | ||||
\(437\) | −2.48377 | + | 2.48377i | −0.118815 | + | 0.118815i | ||||
\(438\) | 8.70523 | − | 6.63811i | 0.415952 | − | 0.317181i | ||||
\(439\) | −0.126419 | −0.00603366 | −0.00301683 | − | 0.999995i | \(-0.500960\pi\) | ||||
−0.00301683 | + | 0.999995i | \(0.500960\pi\) | |||||||
\(440\) | −14.5471 | + | 9.65998i | −0.693507 | + | 0.460521i | ||||
\(441\) | −20.0232 | + | 6.33020i | −0.953486 | + | 0.301438i | ||||
\(442\) | 4.08601 | + | 4.08601i | 0.194352 | + | 0.194352i | ||||
\(443\) | −9.13798 | + | 9.13798i | −0.434158 | + | 0.434158i | −0.890040 | − | 0.455882i | \(-0.849324\pi\) |
0.455882 | + | 0.890040i | \(0.349324\pi\) | |||||||
\(444\) | 6.21734 | − | 8.05215i | 0.295062 | − | 0.382138i | ||||
\(445\) | −9.56183 | − | 1.93043i | −0.453274 | − | 0.0915110i | ||||
\(446\) | 7.51560 | + | 4.33913i | 0.355874 | + | 0.205464i | ||||
\(447\) | −6.60145 | + | 5.03388i | −0.312238 | + | 0.238095i | ||||
\(448\) | 4.33977 | + | 7.09716i | 0.205035 | + | 0.335309i | ||||
\(449\) | 23.8726i | 1.12662i | 0.826246 | + | 0.563310i | \(0.190472\pi\) | ||||
−0.826246 | + | 0.563310i | \(0.809528\pi\) | |||||||
\(450\) | 7.02518 | − | 0.840963i | 0.331170 | − | 0.0396434i | ||||
\(451\) | 18.7058 | + | 10.7998i | 0.880822 | + | 0.508543i | ||||
\(452\) | 2.47229 | − | 9.22670i | 0.116287 | − | 0.433988i | ||||
\(453\) | 5.68241 | − | 0.730662i | 0.266983 | − | 0.0343295i | ||||
\(454\) | −2.99874 | − | 5.19397i | −0.140738 | − | 0.243765i | ||||
\(455\) | 13.6414 | + | 6.35209i | 0.639516 | + | 0.297790i | ||||
\(456\) | −2.15860 | + | 2.79563i | −0.101086 | + | 0.130918i | ||||
\(457\) | −15.1501 | − | 15.1501i | −0.708691 | − | 0.708691i | 0.257569 | − | 0.966260i | \(-0.417079\pi\) |
−0.966260 | + | 0.257569i | \(0.917079\pi\) | |||||||
\(458\) | 12.3512 | − | 3.30951i | 0.577136 | − | 0.154643i | ||||
\(459\) | −15.0548 | − | 19.9921i | −0.702699 | − | 0.933150i | ||||
\(460\) | 5.42676 | − | 10.9254i | 0.253024 | − | 0.509401i | ||||
\(461\) | 13.3585 | + | 7.71252i | 0.622166 | + | 0.359208i | 0.777712 | − | 0.628621i | \(-0.216380\pi\) |
−0.155546 | + | 0.987829i | \(0.549714\pi\) | |||||||
\(462\) | −9.41784 | − | 1.02776i | −0.438157 | − | 0.0478158i | ||||
\(463\) | −30.1174 | − | 8.06993i | −1.39967 | − | 0.375042i | −0.521446 | − | 0.853284i | \(-0.674607\pi\) |
−0.878228 | + | 0.478242i | \(0.841274\pi\) | |||||||
\(464\) | 7.57988 | + | 4.37625i | 0.351887 | + | 0.203162i | ||||
\(465\) | −0.639182 | + | 0.310551i | −0.0296413 | + | 0.0144014i | ||||
\(466\) | −4.20138 | − | 7.27701i | −0.194625 | − | 0.337101i | ||||
\(467\) | −12.1387 | − | 3.25256i | −0.561713 | − | 0.150511i | −0.0332200 | − | 0.999448i | \(-0.510576\pi\) |
−0.528493 | + | 0.848937i | \(0.677243\pi\) | |||||||
\(468\) | −6.71071 | − | 11.7870i | −0.310203 | − | 0.544856i | ||||
\(469\) | 24.8296 | + | 5.98630i | 1.14652 | + | 0.276422i | ||||
\(470\) | 5.90338 | − | 6.69278i | 0.272303 | − | 0.308715i | ||||
\(471\) | −1.96656 | − | 4.78853i | −0.0906143 | − | 0.220644i | ||||
\(472\) | 5.86434 | − | 5.86434i | 0.269928 | − | 0.269928i | ||||
\(473\) | 32.8242 | − | 32.8242i | 1.50926 | − | 1.50926i | ||||
\(474\) | 3.62175 | + | 8.81887i | 0.166353 | + | 0.405064i | ||||
\(475\) | 4.55967 | − | 3.45748i | 0.209212 | − | 0.158640i | ||||
\(476\) | 15.6075 | − | 16.4152i | 0.715367 | − | 0.752390i | ||||
\(477\) | 14.0072 | − | 23.9265i | 0.641346 | − | 1.09552i | ||||
\(478\) | −6.89941 | − | 1.84869i | −0.315572 | − | 0.0845572i | ||||
\(479\) | −18.9242 | − | 32.7777i | −0.864670 | − | 1.49765i | −0.867375 | − | 0.497656i | \(-0.834194\pi\) |
0.00270469 | − | 0.999996i | \(-0.499139\pi\) | |||||||
\(480\) | 6.13485 | − | 17.7295i | 0.280016 | − | 0.809238i | ||||
\(481\) | −7.27865 | − | 4.20233i | −0.331878 | − | 0.191610i | ||||
\(482\) | −3.19018 | − | 0.854805i | −0.145308 | − | 0.0389353i | ||||
\(483\) | 12.8716 | − | 5.66953i | 0.585677 | − | 0.257972i | ||||
\(484\) | 12.6372 | + | 7.29610i | 0.574419 | + | 0.331641i | ||||
\(485\) | 32.0738 | + | 15.9313i | 1.45640 | + | 0.723403i | ||||
\(486\) | −2.71100 | − | 6.83489i | −0.122973 | − | 0.310037i | ||||
\(487\) | 3.06565 | − | 0.821437i | 0.138918 | − | 0.0372229i | −0.188690 | − | 0.982037i | \(-0.560424\pi\) |
0.327608 | + | 0.944814i | \(0.393758\pi\) | |||||||
\(488\) | 10.9096 | + | 10.9096i | 0.493856 | + | 0.493856i | ||||
\(489\) | 6.83091 | − | 8.84680i | 0.308904 | − | 0.400066i | ||||
\(490\) | −2.94685 | + | 6.76951i | −0.133125 | + | 0.305815i | ||||
\(491\) | 2.47604 | + | 4.28862i | 0.111742 | + | 0.193543i | 0.916473 | − | 0.400097i | \(-0.131024\pi\) |
−0.804731 | + | 0.593640i | \(0.797690\pi\) | |||||||
\(492\) | −15.0488 | + | 1.93502i | −0.678451 | + | 0.0872373i | ||||
\(493\) | 4.01929 | − | 15.0002i | 0.181020 | − | 0.675574i | ||||
\(494\) | 1.18912 | + | 0.686538i | 0.0535010 | + | 0.0308888i | ||||
\(495\) | −16.1162 | − | 24.5904i | −0.724368 | − | 1.10526i | ||||
\(496\) | 0.498078i | 0.0223643i | ||||||||
\(497\) | 7.15233 | − | 4.37351i | 0.320826 | − | 0.196179i | ||||
\(498\) | 6.08787 | − | 4.64226i | 0.272804 | − | 0.208025i | ||||
\(499\) | −29.8401 | − | 17.2282i | −1.33583 | − | 0.771241i | −0.349642 | − | 0.936883i | \(-0.613697\pi\) |
−0.986186 | + | 0.165643i | \(0.947030\pi\) | |||||||
\(500\) | −11.1824 | + | 16.4285i | −0.500091 | + | 0.734706i | ||||
\(501\) | −10.2185 | + | 13.2341i | −0.456530 | + | 0.591258i | ||||
\(502\) | 2.32699 | − | 2.32699i | 0.103859 | − | 0.103859i | ||||
\(503\) | 3.79506 | + | 3.79506i | 0.169213 | + | 0.169213i | 0.786634 | − | 0.617420i | \(-0.211822\pi\) |
−0.617420 | + | 0.786634i | \(0.711822\pi\) | |||||||
\(504\) | 12.1100 | − | 7.30497i | 0.539424 | − | 0.325389i | ||||
\(505\) | 1.65230 | − | 8.18419i | 0.0735263 | − | 0.364192i | ||||
\(506\) | 6.34511 | 0.282074 | ||||||||
\(507\) | 8.99437 | − | 6.85859i | 0.399454 | − | 0.304601i | ||||
\(508\) | −18.7876 | + | 18.7876i | −0.833566 | + | 0.833566i | ||||
\(509\) | 4.68893 | − | 8.12146i | 0.207833 | − | 0.359977i | −0.743199 | − | 0.669071i | \(-0.766692\pi\) |
0.951032 | + | 0.309093i | \(0.100026\pi\) | |||||||
\(510\) | −8.77639 | − | 0.627081i | −0.388625 | − | 0.0277676i | ||||
\(511\) | −24.4284 | + | 25.6927i | −1.08065 | + | 1.13658i | ||||
\(512\) | −16.1384 | − | 16.1384i | −0.713222 | − | 0.713222i | ||||
\(513\) | −4.68493 | − | 3.66275i | −0.206845 | − | 0.161714i | ||||
\(514\) | −0.540230 | + | 0.935705i | −0.0238285 | + | 0.0412722i | ||||
\(515\) | −0.682830 | + | 1.37471i | −0.0300891 | + | 0.0605770i | ||||
\(516\) | −4.35377 | + | 32.3162i | −0.191664 | + | 1.42264i | ||||
\(517\) | −35.8207 | − | 9.59812i | −1.57539 | − | 0.422125i | ||||
\(518\) | 1.97114 | − | 3.62208i | 0.0866069 | − | 0.159145i | ||||
\(519\) | −4.41094 | + | 1.81149i | −0.193619 | + | 0.0795157i | ||||
\(520\) | −9.93367 | − | 2.00550i | −0.435620 | − | 0.0879469i | ||||
\(521\) | 28.7122 | + | 16.5770i | 1.25791 | + | 0.726252i | 0.972667 | − | 0.232205i | \(-0.0745940\pi\) |
0.285238 | + | 0.958457i | \(0.407927\pi\) | |||||||
\(522\) | 2.30510 | − | 3.93746i | 0.100891 | − | 0.172338i | ||||
\(523\) | −1.35899 | + | 5.07183i | −0.0594247 | + | 0.221776i | −0.989252 | − | 0.146220i | \(-0.953289\pi\) |
0.929827 | + | 0.367996i | \(0.119956\pi\) | |||||||
\(524\) | −20.0307 | + | 34.6943i | −0.875047 | + | 1.51563i | ||||
\(525\) | −22.0314 | + | 6.29415i | −0.961530 | + | 0.274699i | ||||
\(526\) | 0.993112 | + | 1.72012i | 0.0433018 | + | 0.0750008i | ||||
\(527\) | 0.853614 | − | 0.228725i | 0.0371840 | − | 0.00996343i | ||||
\(528\) | −20.4388 | + | 2.62808i | −0.889484 | + | 0.114373i | ||||
\(529\) | 11.7606 | − | 6.78998i | 0.511330 | − | 0.295216i | ||||
\(530\) | −3.10680 | − | 9.23910i | −0.134951 | − | 0.401321i | ||||
\(531\) | 9.81389 | + | 9.93309i | 0.425886 | + | 0.431059i | ||||
\(532\) | 2.57272 | − | 4.72752i | 0.111541 | − | 0.204964i | ||||
\(533\) | 3.24432 | + | 12.1080i | 0.140527 | + | 0.524454i | ||||
\(534\) | 2.82102 | + | 2.17820i | 0.122077 | + | 0.0942600i | ||||
\(535\) | −17.7677 | − | 26.7567i | −0.768165 | − | 1.15679i | ||||
\(536\) | −17.2009 | −0.742966 | ||||||||
\(537\) | −17.3843 | + | 13.2563i | −0.750187 | + | 0.572050i | ||||
\(538\) | 10.8978 | − | 2.92006i | 0.469838 | − | 0.125893i | ||||
\(539\) | 30.6409 | − | 1.54677i | 1.31980 | − | 0.0666242i | ||||
\(540\) | 19.4763 | + | 6.87119i | 0.838125 | + | 0.295689i | ||||
\(541\) | 5.00106 | + | 8.66209i | 0.215012 | + | 0.372412i | 0.953276 | − | 0.302100i | \(-0.0976875\pi\) |
−0.738264 | + | 0.674512i | \(0.764354\pi\) | |||||||
\(542\) | 1.79793 | + | 0.481753i | 0.0772276 | + | 0.0206931i | ||||
\(543\) | −14.9935 | − | 6.26359i | −0.643432 | − | 0.268796i | ||||
\(544\) | −11.6654 | + | 20.2050i | −0.500149 | + | 0.866283i | ||||
\(545\) | 38.5065 | − | 12.9484i | 1.64944 | − | 0.554649i | ||||
\(546\) | −3.44297 | − | 4.28647i | −0.147345 | − | 0.183444i | ||||
\(547\) | 35.9383 | − | 9.62964i | 1.53661 | − | 0.411734i | 0.611442 | − | 0.791289i | \(-0.290590\pi\) |
0.925169 | + | 0.379556i | \(0.123923\pi\) | |||||||
\(548\) | −26.1904 | − | 7.01771i | −1.11880 | − | 0.299782i | ||||
\(549\) | −18.4789 | + | 18.2571i | −0.788660 | + | 0.779196i | ||||
\(550\) | −10.2404 | − | 1.40784i | −0.436652 | − | 0.0600306i | ||||
\(551\) | − | 3.69006i | − | 0.157202i | ||||||
\(552\) | −7.53213 | + | 5.74357i | −0.320589 | + | 0.244463i | ||||
\(553\) | −16.1062 | − | 26.3397i | −0.684905 | − | 1.12008i | ||||
\(554\) | 6.83154 | − | 3.94419i | 0.290244 | − | 0.167573i | ||||
\(555\) | 12.5661 | − | 2.42284i | 0.533402 | − | 0.102844i | ||||
\(556\) | −9.57868 | + | 5.53025i | −0.406227 | + | 0.234535i | ||||
\(557\) | 0.477858 | − | 0.128042i | 0.0202475 | − | 0.00542530i | −0.248681 | − | 0.968585i | \(-0.579997\pi\) |
0.268929 | + | 0.963160i | \(0.413330\pi\) | |||||||
\(558\) | 0.259637 | + | 0.00156735i | 0.0109913 | + | 6.63511e-5i | ||||
\(559\) | 26.9396 | 1.13942 | ||||||||
\(560\) | −2.78016 | + | 15.8171i | −0.117483 | + | 0.668393i | ||||
\(561\) | 13.8899 | + | 33.8215i | 0.586431 | + | 1.42794i | ||||
\(562\) | 4.13015 | − | 1.10667i | 0.174220 | − | 0.0466821i | ||||
\(563\) | 1.11218 | + | 1.11218i | 0.0468726 | + | 0.0468726i | 0.730155 | − | 0.683282i | \(-0.239448\pi\) |
−0.683282 | + | 0.730155i | \(0.739448\pi\) | |||||||
\(564\) | 24.0969 | − | 9.89618i | 1.01466 | − | 0.416704i | ||||
\(565\) | 10.0104 | − | 6.64736i | 0.421139 | − | 0.279657i | ||||
\(566\) | − | 9.00294i | − | 0.378422i | ||||||
\(567\) | 12.1759 | + | 20.4633i | 0.511341 | + | 0.859378i | ||||
\(568\) | −3.99231 | + | 3.99231i | −0.167513 | + | 0.167513i | ||||
\(569\) | − | 32.9279i | − | 1.38041i | −0.723614 | − | 0.690205i | \(-0.757521\pi\) | ||
0.723614 | − | 0.690205i | \(-0.242479\pi\) | |||||||
\(570\) | −2.05294 | + | 0.395821i | −0.0859882 | + | 0.0165791i | ||||
\(571\) | 24.8485 | 1.03988 | 0.519939 | − | 0.854203i | \(-0.325955\pi\) | ||||
0.519939 | + | 0.854203i | \(0.325955\pi\) | |||||||
\(572\) | 5.12864 | + | 19.1404i | 0.214439 | + | 0.800299i | ||||
\(573\) | −12.1284 | + | 29.0324i | −0.506671 | + | 1.21284i | ||||
\(574\) | −5.89868 | + | 1.74110i | −0.246206 | + | 0.0726723i | ||||
\(575\) | 14.2113 | − | 5.79144i | 0.592651 | − | 0.241520i | ||||
\(576\) | 6.71006 | − | 6.62953i | 0.279586 | − | 0.276230i | ||||
\(577\) | −2.95088 | − | 11.0128i | −0.122847 | − | 0.458470i | 0.876907 | − | 0.480660i | \(-0.159603\pi\) |
−0.999754 | + | 0.0221899i | \(0.992936\pi\) | |||||||
\(578\) | 2.82366 | + | 0.756596i | 0.117449 | + | 0.0314703i | ||||
\(579\) | −3.27038 | − | 7.96329i | −0.135912 | − | 0.330943i | ||||
\(580\) | 4.08461 | + | 12.1470i | 0.169604 | + | 0.504375i | ||||
\(581\) | −17.0836 | + | 17.9678i | −0.708748 | + | 0.745429i | ||||
\(582\) | −7.93414 | − | 10.4048i | −0.328881 | − | 0.431295i | ||||
\(583\) | −28.6413 | + | 28.6413i | −1.18620 | + | 1.18620i | ||||
\(584\) | 11.9378 | − | 20.6769i | 0.493991 | − | 0.855618i | ||||
\(585\) | 3.47752 | − | 16.7044i | 0.143778 | − | 0.690643i | ||||
\(586\) | 7.47006 | − | 4.31284i | 0.308585 | − | 0.178162i | ||||
\(587\) | 2.45406 | + | 9.15866i | 0.101290 | + | 0.378018i | 0.997898 | − | 0.0648065i | \(-0.0206430\pi\) |
−0.896608 | + | 0.442825i | \(0.853976\pi\) | |||||||
\(588\) | −16.4566 | + | 13.9152i | −0.678658 | + | 0.573854i | ||||
\(589\) | 0.181857 | − | 0.104995i | 0.00749327 | − | 0.00432624i | ||||
\(590\) | 4.89962 | − | 0.307060i | 0.201714 | − | 0.0126414i | ||||
\(591\) | 26.3239 | − | 10.8107i | 1.08282 | − | 0.444695i | ||||
\(592\) | 2.32154 | − | 8.66412i | 0.0954149 | − | 0.356093i | ||||
\(593\) | 0.403868 | − | 1.50726i | 0.0165849 | − | 0.0618956i | −0.957137 | − | 0.289634i | \(-0.906466\pi\) |
0.973722 | + | 0.227738i | \(0.0731331\pi\) | |||||||
\(594\) | 1.30565 | + | 10.6626i | 0.0535714 | + | 0.437491i | ||||
\(595\) | 28.3843 | − | 2.49877i | 1.16364 | − | 0.102439i | ||||
\(596\) | −4.25982 | + | 7.37822i | −0.174489 | + | 0.302224i | ||||
\(597\) | −8.41833 | − | 11.0398i | −0.344539 | − | 0.451830i | ||||
\(598\) | 2.60379 | + | 2.60379i | 0.106477 | + | 0.106477i | ||||
\(599\) | − | 3.37770i | − | 0.138009i | −0.997616 | − | 0.0690046i | \(-0.978018\pi\) | ||
0.997616 | − | 0.0690046i | \(-0.0219823\pi\) | |||||||
\(600\) | 13.4305 | − | 7.59836i | 0.548298 | − | 0.310202i | ||||
\(601\) | 23.4692 | + | 13.5499i | 0.957327 | + | 0.552713i | 0.895349 | − | 0.445365i | \(-0.146926\pi\) |
0.0619776 | + | 0.998078i | \(0.480259\pi\) | |||||||
\(602\) | 0.333302 | + | 13.2136i | 0.0135844 | + | 0.538545i | ||||
\(603\) | 0.174824 | − | 28.9603i | 0.00711938 | − | 1.17935i | ||||
\(604\) | 5.09185 | − | 2.93978i | 0.207184 | − | 0.119618i | ||||
\(605\) | 5.85079 | + | 17.3993i | 0.237868 | + | 0.707382i | ||||
\(606\) | −1.86437 | + | 2.41457i | −0.0757350 | + | 0.0980853i | ||||
\(607\) | −0.893061 | − | 3.33295i | −0.0362482 | − | 0.135280i | 0.945431 | − | 0.325824i | \(-0.105642\pi\) |
−0.981679 | + | 0.190544i | \(0.938975\pi\) | |||||||
\(608\) | −1.43485 | + | 5.35492i | −0.0581907 | + | 0.217171i | ||||
\(609\) | −5.34992 | + | 13.7729i | −0.216790 | + | 0.558108i | ||||
\(610\) | 0.571235 | + | 9.11494i | 0.0231286 | + | 0.369053i | ||||
\(611\) | −10.7607 | − | 18.6381i | −0.435332 | − | 0.754018i | ||||
\(612\) | −22.1646 | − | 12.9758i | −0.895950 | − | 0.524514i | ||||
\(613\) | −1.32900 | − | 4.95989i | −0.0536777 | − | 0.200328i | 0.933880 | − | 0.357588i | \(-0.116401\pi\) |
−0.987557 | + | 0.157260i | \(0.949734\pi\) | |||||||
\(614\) | −11.9140 | −0.480810 | ||||||||
\(615\) | −15.8075 | − | 10.6972i | −0.637422 | − | 0.431354i | ||||
\(616\) | −19.8165 | + | 5.84921i | −0.798430 | + | 0.235671i | ||||
\(617\) | −5.94379 | + | 22.1825i | −0.239288 | + | 0.893035i | 0.736881 | + | 0.676023i | \(0.236298\pi\) |
−0.976169 | + | 0.217012i | \(0.930369\pi\) | |||||||
\(618\) | 0.445961 | − | 0.340064i | 0.0179392 | − | 0.0136794i | ||||
\(619\) | 15.1235 | + | 26.1947i | 0.607867 | + | 1.05286i | 0.991591 | + | 0.129408i | \(0.0413078\pi\) |
−0.383725 | + | 0.923448i | \(0.625359\pi\) | |||||||
\(620\) | −0.482415 | + | 0.546924i | −0.0193743 | + | 0.0219650i | ||||
\(621\) | −9.59361 | − | 12.7399i | −0.384978 | − | 0.511233i | ||||
\(622\) | 1.74027 | − | 1.74027i | 0.0697784 | − | 0.0697784i | ||||
\(623\) | −10.1380 | − | 5.51710i | −0.406170 | − | 0.221038i | ||||
\(624\) | −9.46576 | − | 7.30883i | −0.378934 | − | 0.292587i | ||||
\(625\) | −24.2206 | + | 6.19365i | −0.968825 | + | 0.247746i | ||||
\(626\) | − | 3.27547i | − | 0.130914i | ||||||
\(627\) | 5.26806 | + | 6.90855i | 0.210386 | + | 0.275901i | ||||
\(628\) | −3.75649 | − | 3.75649i | −0.149900 | − | 0.149900i | ||||
\(629\) | −15.9148 | −0.634565 | ||||||||
\(630\) | 8.23636 | + | 1.49901i | 0.328144 | + | 0.0597220i | ||||
\(631\) | 42.5624 | 1.69438 | 0.847191 | − | 0.531288i | \(-0.178292\pi\) | ||||
0.847191 | + | 0.531288i | \(0.178292\pi\) | |||||||
\(632\) | 14.7024 | + | 14.7024i | 0.584828 | + | 0.584828i | ||||
\(633\) | 37.0721 | − | 4.76684i | 1.47348 | − | 0.189465i | ||||
\(634\) | 5.75196i | 0.228440i | ||||||||
\(635\) | −33.3587 | + | 2.09059i | −1.32380 | + | 0.0829627i | ||||
\(636\) | 3.79895 | − | 28.1979i | 0.150638 | − | 1.11812i | ||||
\(637\) | 13.2086 | + | 11.9391i | 0.523344 | + | 0.473045i | ||||
\(638\) | −4.71336 | + | 4.71336i | −0.186604 | + | 0.186604i | ||||
\(639\) | −6.68107 | − | 6.76222i | −0.264299 | − | 0.267509i | ||||
\(640\) | −1.56241 | − | 24.9306i | −0.0617596 | − | 0.985470i | ||||
\(641\) | 1.77150 | + | 3.06833i | 0.0699701 | + | 0.121192i | 0.898888 | − | 0.438179i | \(-0.144376\pi\) |
−0.828918 | + | 0.559370i | \(0.811043\pi\) | |||||||
\(642\) | 1.49662 | + | 11.6394i | 0.0590670 | + | 0.459369i | ||||
\(643\) | −0.201747 | + | 0.752929i | −0.00795611 | + | 0.0296926i | −0.969790 | − | 0.243942i | \(-0.921559\pi\) |
0.961834 | + | 0.273635i | \(0.0882260\pi\) | |||||||
\(644\) | 9.94578 | − | 10.4605i | 0.391919 | − | 0.412202i | ||||
\(645\) | −30.9992 | + | 26.8648i | −1.22059 | + | 1.05780i | ||||
\(646\) | 2.60002 | 0.102296 | ||||||||
\(647\) | −3.86364 | − | 14.4193i | −0.151895 | − | 0.566881i | −0.999351 | − | 0.0360153i | \(-0.988534\pi\) |
0.847456 | − | 0.530866i | \(-0.178133\pi\) | |||||||
\(648\) | −11.2016 | − | 11.4754i | −0.440042 | − | 0.450798i | ||||
\(649\) | −10.2000 | − | 17.6669i | −0.400384 | − | 0.693485i | ||||
\(650\) | −3.62454 | − | 4.77999i | −0.142166 | − | 0.187487i | ||||
\(651\) | −0.830994 | + | 0.128229i | −0.0325692 | + | 0.00502568i | ||||
\(652\) | 2.96876 | − | 11.0796i | 0.116266 | − | 0.433910i | ||||
\(653\) | 2.76606 | + | 10.3231i | 0.108244 | + | 0.403974i | 0.998693 | − | 0.0511101i | \(-0.0162759\pi\) |
−0.890449 | + | 0.455084i | \(0.849609\pi\) | |||||||
\(654\) | −14.7103 | − | 1.98184i | −0.575218 | − | 0.0774959i | ||||
\(655\) | −47.7681 | + | 16.0628i | −1.86645 | + | 0.627625i | ||||
\(656\) | −11.5856 | + | 6.68896i | −0.452342 | + | 0.261160i | ||||
\(657\) | 34.6914 | + | 20.3093i | 1.35344 | + | 0.792341i | ||||
\(658\) | 9.00865 | − | 5.50861i | 0.351194 | − | 0.214748i | ||||
\(659\) | 18.6085 | + | 10.7436i | 0.724884 | + | 0.418512i | 0.816547 | − | 0.577278i | \(-0.195885\pi\) |
−0.0916639 | + | 0.995790i | \(0.529219\pi\) | |||||||
\(660\) | −24.9887 | − | 16.9103i | −0.972682 | − | 0.658231i | ||||
\(661\) | − | 7.77963i | − | 0.302593i | −0.988488 | − | 0.151296i | \(-0.951655\pi\) | ||
0.988488 | − | 0.151296i | \(-0.0483448\pi\) | |||||||
\(662\) | 7.92930 | + | 7.92930i | 0.308181 | + | 0.308181i | ||||
\(663\) | −8.17918 | + | 19.5789i | −0.317653 | + | 0.760382i | ||||
\(664\) | 8.34855 | − | 14.4601i | 0.323987 | − | 0.561161i | ||||
\(665\) | 6.36114 | − | 2.31916i | 0.246674 | − | 0.0899332i | ||||
\(666\) | −4.50912 | − | 1.23744i | −0.174725 | − | 0.0479497i | ||||
\(667\) | 2.56127 | − | 9.55879i | 0.0991728 | − | 0.370118i | ||||
\(668\) | −4.44105 | + | 16.5742i | −0.171829 | + | 0.641276i | ||||
\(669\) | −4.25478 | + | 31.5814i | −0.164499 | + | 1.22101i | ||||
\(670\) | −7.63595 | − | 6.73530i | −0.295002 | − | 0.260207i | ||||
\(671\) | 32.8663 | − | 18.9754i | 1.26879 | − | 0.732536i | ||||
\(672\) | 13.1191 | − | 17.9067i | 0.506082 | − | 0.690765i | ||||
\(673\) | −0.246995 | − | 0.921796i | −0.00952094 | − | 0.0355326i | 0.961002 | − | 0.276542i | \(-0.0891884\pi\) |
−0.970523 | + | 0.241009i | \(0.922522\pi\) | |||||||
\(674\) | −6.96712 | + | 4.02247i | −0.268364 | + | 0.154940i | ||||
\(675\) | 12.6565 | + | 22.6895i | 0.487148 | + | 0.873320i | ||||
\(676\) | 5.80394 | − | 10.0527i | 0.223228 | − | 0.386643i | ||||
\(677\) | −9.42246 | + | 9.42246i | −0.362135 | + | 0.362135i | −0.864598 | − | 0.502464i | \(-0.832427\pi\) |
0.502464 | + | 0.864598i | \(0.332427\pi\) | |||||||
\(678\) | −4.35458 | + | 0.559926i | −0.167237 | + | 0.0215038i | ||||
\(679\) | 30.7089 | + | 29.1978i | 1.17850 | + | 1.12051i | ||||
\(680\) | −18.1888 | + | 6.11628i | −0.697509 | + | 0.234549i | ||||
\(681\) | 13.4593 | − | 17.4314i | 0.515763 | − | 0.667971i | ||||
\(682\) | −0.366399 | − | 0.0981763i | −0.0140301 | − | 0.00375936i | ||||
\(683\) | 12.5338 | + | 46.7767i | 0.479591 | + | 1.78986i | 0.603271 | + | 0.797537i | \(0.293864\pi\) |
−0.123679 | + | 0.992322i | \(0.539469\pi\) | |||||||
\(684\) | −5.88527 | − | 1.61509i | −0.225029 | − | 0.0617546i | ||||
\(685\) | −18.8688 | − | 28.4149i | −0.720942 | − | 1.08568i | ||||
\(686\) | −5.69258 | + | 6.62638i | −0.217344 | + | 0.252996i | ||||
\(687\) | 28.4711 | + | 37.3371i | 1.08624 | + | 1.42450i | ||||
\(688\) | 7.44129 | + | 27.7713i | 0.283697 | + | 1.05877i | ||||
\(689\) | −23.5066 | −0.895529 | ||||||||
\(690\) | −5.59271 | − | 0.399604i | −0.212911 | − | 0.0152127i | ||||
\(691\) | 48.0951i | 1.82962i | 0.403879 | + | 0.914812i | \(0.367662\pi\) | ||||
−0.403879 | + | 0.914812i | \(0.632338\pi\) | |||||||
\(692\) | −3.46028 | + | 3.46028i | −0.131540 | + | 0.131540i | ||||
\(693\) | −9.64661 | − | 33.4235i | −0.366445 | − | 1.26965i | ||||
\(694\) | − | 4.08114i | − | 0.154918i | ||||||
\(695\) | −13.6387 | − | 2.75350i | −0.517345 | − | 0.104446i | ||||
\(696\) | 1.32860 | − | 9.86164i | 0.0503606 | − | 0.373804i | ||||
\(697\) | 16.7840 | + | 16.7840i | 0.635738 | + | 0.635738i | ||||
\(698\) | 7.38357 | − | 1.97842i | 0.279472 | − | 0.0748844i | ||||
\(699\) | 18.8572 | − | 24.4222i | 0.713245 | − | 0.923732i | ||||
\(700\) | −18.3725 | + | 14.6755i | −0.694415 | + | 0.554682i | ||||
\(701\) | −7.85185 | −0.296560 | −0.148280 | − | 0.988945i | \(-0.547374\pi\) | ||||
−0.148280 | + | 0.988945i | \(0.547374\pi\) | |||||||
\(702\) | −3.83973 | + | 4.91130i | −0.144921 | + | 0.185365i | ||||
\(703\) | −3.65280 | + | 0.978765i | −0.137768 | + | 0.0369148i | ||||
\(704\) | −11.9344 | + | 6.89034i | −0.449795 | + | 0.259689i | ||||
\(705\) | 30.9686 | + | 10.7159i | 1.16635 | + | 0.403585i | ||||
\(706\) | 3.36120 | − | 1.94059i | 0.126501 | − | 0.0730351i | ||||
\(707\) | 4.72221 | − | 8.67734i | 0.177597 | − | 0.326345i | ||||
\(708\) | 13.2225 | + | 5.52377i | 0.496933 | + | 0.207596i | ||||
\(709\) | 11.8510i | 0.445074i | 0.974924 | + | 0.222537i | \(0.0714337\pi\) | ||||
−0.974924 | + | 0.222537i | \(0.928566\pi\) | |||||||
\(710\) | −3.33555 | + | 0.209039i | −0.125181 | + | 0.00784510i | ||||
\(711\) | −24.9031 | + | 24.6042i | −0.933938 | + | 0.922729i | ||||
\(712\) | 7.50821 | + | 2.01182i | 0.281382 | + | 0.0753961i | ||||
\(713\) | 0.543962 | − | 0.145754i | 0.0203715 | − | 0.00545853i | ||||
\(714\) | −9.70443 | − | 3.76956i | −0.363179 | − | 0.141072i | ||||
\(715\) | −11.0891 | + | 22.3252i | −0.414709 | + | 0.834915i | ||||
\(716\) | −11.2178 | + | 19.4298i | −0.419230 | + | 0.726127i | ||||
\(717\) | −3.34500 | − | 26.0143i | −0.124921 | − | 0.971521i | ||||
\(718\) | 2.94593 | + | 0.789358i | 0.109941 | + | 0.0294586i | ||||
\(719\) | 16.9071 | + | 29.2840i | 0.630529 | + | 1.09211i | 0.987444 | + | 0.157972i | \(0.0504955\pi\) |
−0.356914 | + | 0.934137i | \(0.616171\pi\) | |||||||
\(720\) | 18.1807 | − | 1.02925i | 0.677554 | − | 0.0383577i | ||||
\(721\) | −1.25144 | + | 1.31621i | −0.0466062 | + | 0.0490183i | ||||
\(722\) | −8.05996 | + | 2.15966i | −0.299961 | + | 0.0803742i | ||||
\(723\) | −1.54667 | − | 12.0286i | −0.0575214 | − | 0.447348i | ||||
\(724\) | −16.6757 | −0.619747 | ||||||||
\(725\) | −6.25453 | + | 14.8587i | −0.232288 | + | 0.551838i | ||||
\(726\) | 0.895500 | − | 6.64690i | 0.0332351 | − | 0.246690i | ||||
\(727\) | 6.01324 | + | 22.4417i | 0.223019 | + | 0.832318i | 0.983189 | + | 0.182593i | \(0.0584491\pi\) |
−0.760170 | + | 0.649725i | \(0.774884\pi\) | |||||||
\(728\) | −10.5322 | − | 5.73165i | −0.390350 | − | 0.212429i | ||||
\(729\) | 19.4345 | − | 18.7430i | 0.719796 | − | 0.694186i | ||||
\(730\) | 13.3959 | − | 4.50460i | 0.495806 | − | 0.166723i | ||||
\(731\) | 44.1778 | − | 25.5060i | 1.63397 | − | 0.943375i | ||||
\(732\) | −10.2761 | + | 24.5984i | −0.379815 | + | 0.909183i | ||||
\(733\) | −0.181271 | + | 0.0485713i | −0.00669538 | + | 0.00179402i | −0.262165 | − | 0.965023i | \(-0.584437\pi\) |
0.255470 | + | 0.966817i | \(0.417770\pi\) | |||||||
\(734\) | 4.04818 | + | 7.01165i | 0.149421 | + | 0.258805i | ||||
\(735\) | −27.1050 | − | 0.566357i | −0.999782 | − | 0.0208904i | ||||
\(736\) | −7.43370 | + | 12.8755i | −0.274010 | + | 0.474599i | ||||
\(737\) | −10.9507 | + | 40.8686i | −0.403374 | + | 1.50541i | ||||
\(738\) | 3.45036 | + | 6.06039i | 0.127009 | + | 0.223086i | ||||
\(739\) | −20.2871 | − | 11.7127i | −0.746272 | − | 0.430860i | 0.0780736 | − | 0.996948i | \(-0.475123\pi\) |
−0.824345 | + | 0.566087i | \(0.808456\pi\) | |||||||
\(740\) | 10.9409 | − | 7.26527i | 0.402195 | − | 0.267077i | ||||
\(741\) | −0.673193 | + | 4.99681i | −0.0247303 | + | 0.183563i | ||||
\(742\) | −0.290828 | − | 11.5297i | −0.0106766 | − | 0.423268i | ||||
\(743\) | −6.49618 | − | 1.74065i | −0.238322 | − | 0.0638581i | 0.137681 | − | 0.990477i | \(-0.456035\pi\) |
−0.376003 | + | 0.926618i | \(0.622702\pi\) | |||||||
\(744\) | 0.523813 | − | 0.215120i | 0.0192039 | − | 0.00788670i | ||||
\(745\) | −10.1586 | + | 3.41598i | −0.372181 | + | 0.125152i | ||||
\(746\) | −0.530808 | + | 0.919386i | −0.0194343 | + | 0.0336611i | ||||
\(747\) | 24.2609 | + | 14.2030i | 0.887661 | + | 0.519661i | ||||
\(748\) | 26.5322 | + | 26.5322i | 0.970113 | + | 0.970113i | ||||
\(749\) | −10.7585 | − | 36.4487i | −0.393108 | − | 1.33181i | ||||
\(750\) | 8.93743 | + | 1.88582i | 0.326349 | + | 0.0688606i | ||||
\(751\) | 14.1908 | − | 24.5791i | 0.517829 | − | 0.896905i | −0.481957 | − | 0.876195i | \(-0.660074\pi\) |
0.999786 | − | 0.0207105i | \(-0.00659284\pi\) | |||||||
\(752\) | 16.2412 | − | 16.2412i | 0.592255 | − | 0.592255i | ||||
\(753\) | 11.1502 | + | 4.65806i | 0.406337 | + | 0.169749i | ||||
\(754\) | −3.86836 | −0.140877 | ||||||||
\(755\) | 7.25008 | + | 1.46371i | 0.263857 | + | 0.0532699i | ||||
\(756\) | 19.6249 | + | 14.5608i | 0.713749 | + | 0.529572i | ||||
\(757\) | −29.2331 | − | 29.2331i | −1.06249 | − | 1.06249i | −0.997912 | − | 0.0645808i | \(-0.979429\pi\) |
−0.0645808 | − | 0.997912i | \(-0.520571\pi\) | |||||||
\(758\) | −0.546903 | + | 0.546903i | −0.0198644 | + | 0.0198644i | ||||
\(759\) | 8.85126 | + | 21.5526i | 0.321280 | + | 0.782309i | ||||
\(760\) | −3.79858 | + | 2.52244i | −0.137789 | + | 0.0914984i | ||||
\(761\) | −25.6949 | − | 14.8350i | −0.931439 | − | 0.537767i | −0.0441729 | − | 0.999024i | \(-0.514065\pi\) |
−0.887267 | + | 0.461257i | \(0.847399\pi\) | |||||||
\(762\) | 11.2684 | + | 4.70742i | 0.408211 | + | 0.170532i | ||||
\(763\) | 48.0532 | − | 1.21211i | 1.73964 | − | 0.0438812i | ||||
\(764\) | 32.2897i | 1.16820i | ||||||||
\(765\) | −10.1128 | − | 30.6858i | −0.365629 | − | 1.10945i | ||||
\(766\) | −5.87645 | − | 3.39277i | −0.212325 | − | 0.122586i | ||||
\(767\) | 3.06413 | − | 11.4355i | 0.110639 | − | 0.412911i | ||||
\(768\) | 0.680421 | − | 1.62876i | 0.0245526 | − | 0.0587728i | ||||
\(769\) | −13.2591 | − | 22.9654i | −0.478135 | − | 0.828154i | 0.521551 | − | 0.853220i | \(-0.325354\pi\) |
−0.999686 | + | 0.0250661i | \(0.992020\pi\) | |||||||
\(770\) | −11.0874 | − | 5.16286i | −0.399564 | − | 0.186057i | ||||
\(771\) | −3.93194 | − | 0.529728i | −0.141605 | − | 0.0190777i | ||||
\(772\) | −6.24702 | − | 6.24702i | −0.224835 | − | 0.224835i | ||||
\(773\) | 14.0750 | − | 3.77140i | 0.506244 | − | 0.135648i | 0.00334779 | − | 0.999994i | \(-0.498934\pi\) |
0.502896 | + | 0.864347i | \(0.332268\pi\) | |||||||
\(774\) | 14.5000 | − | 3.79160i | 0.521192 | − | 0.136286i | ||||
\(775\) | −0.910241 | + | 0.114540i | −0.0326968 | + | 0.00411439i | ||||
\(776\) | −24.7139 | − | 14.2686i | −0.887178 | − | 0.512213i | ||||
\(777\) | 15.0529 | + | 1.64271i | 0.540020 | + | 0.0589320i | ||||
\(778\) | 15.2437 | + | 4.08454i | 0.546513 | + | 0.146438i | ||||
\(779\) | 4.88450 | + | 2.82007i | 0.175006 | + | 0.101039i | ||||
\(780\) | −3.31507 | − | 17.1937i | −0.118698 | − | 0.615634i | ||||
\(781\) | 6.94390 | + | 12.0272i | 0.248472 | + | 0.430367i | ||||
\(782\) | 6.73513 | + | 1.80467i | 0.240848 | + | 0.0645350i | ||||
\(783\) | 16.5900 | + | 2.33713i | 0.592880 | + | 0.0835223i | ||||
\(784\) | −8.65921 | + | 16.9142i | −0.309257 | + | 0.604079i | ||||
\(785\) | −0.418003 | − | 6.66990i | −0.0149192 | − | 0.238059i | ||||
\(786\) | 18.2484 | + | 2.45851i | 0.650900 | + | 0.0876921i | ||||
\(787\) | −20.1337 | + | 20.1337i | −0.717690 | + | 0.717690i | −0.968132 | − | 0.250442i | \(-0.919424\pi\) |
0.250442 | + | 0.968132i | \(0.419424\pi\) | |||||||
\(788\) | 20.6505 | − | 20.6505i | 0.735644 | − | 0.735644i | ||||
\(789\) | −4.45742 | + | 5.77285i | −0.158688 | + | 0.205519i | ||||
\(790\) | 0.769823 | + | 12.2837i | 0.0273891 | + | 0.437036i | ||||
\(791\) | 13.6364 | − | 4.02504i | 0.484855 | − | 0.143114i | ||||
\(792\) | 11.5914 | + | 20.3598i | 0.411883 | + | 0.723453i | ||||
\(793\) | 21.2738 | + | 5.70031i | 0.755456 | + | 0.202424i | ||||
\(794\) | −4.21584 | − | 7.30204i | −0.149614 | − | 0.259140i | ||||
\(795\) | 27.0488 | − | 23.4412i | 0.959322 | − | 0.831375i | ||||
\(796\) | −12.3388 | − | 7.12383i | −0.437339 | − | 0.252498i | ||||
\(797\) | −45.0757 | − | 12.0780i | −1.59666 | − | 0.427824i | −0.652630 | − | 0.757677i | \(-0.726334\pi\) |
−0.944032 | + | 0.329853i | \(0.893001\pi\) | |||||||
\(798\) | −2.45921 | − | 0.268372i | −0.0870550 | − | 0.00950025i | ||||
\(799\) | −35.2926 | − | 20.3762i | −1.24856 | − | 0.720859i | ||||
\(800\) | 14.8541 | − | 19.1305i | 0.525171 | − | 0.676366i | ||||
\(801\) | −3.46351 | + | 12.6208i | −0.122377 | + | 0.445932i | ||||
\(802\) | −0.642183 | + | 0.172072i | −0.0226763 | + | 0.00607608i | ||||
\(803\) | −41.5275 | − | 41.5275i | −1.46547 | − | 1.46547i | ||||
\(804\) | −11.2908 | − | 27.4927i | −0.398195 | − | 0.969594i | ||||
\(805\) | 18.0877 | − | 1.59233i | 0.637509 | − | 0.0561222i | ||||
\(806\) | −0.110068 | − | 0.190644i | −0.00387699 | − | 0.00671514i | ||||
\(807\) | 25.1208 | + | 32.9435i | 0.884294 | + | 1.15967i | ||||
\(808\) | −1.72196 | + | 6.42645i | −0.0605784 | + | 0.226082i | ||||
\(809\) | 1.73589 | + | 1.00221i | 0.0610305 | + | 0.0352360i | 0.530205 | − | 0.847870i | \(-0.322115\pi\) |
−0.469174 | + | 0.883106i | \(0.655448\pi\) | |||||||
\(810\) | −0.479314 | − | 9.48046i | −0.0168414 | − | 0.333109i | ||||
\(811\) | − | 3.78401i | − | 0.132874i | −0.997791 | − | 0.0664372i | \(-0.978837\pi\) | ||
0.997791 | − | 0.0664372i | \(-0.0211632\pi\) | |||||||
\(812\) | 0.382361 | + | 15.1585i | 0.0134183 | + | 0.531958i | ||||
\(813\) | 0.871677 | + | 6.77910i | 0.0305711 | + | 0.237753i | ||||
\(814\) | 5.91595 | + | 3.41558i | 0.207354 | + | 0.119716i | ||||
\(815\) | 12.0206 | − | 7.98226i | 0.421064 | − | 0.279606i | ||||
\(816\) | −22.4426 | − | 3.02357i | −0.785649 | − | 0.105846i | ||||
\(817\) | 8.57114 | − | 8.57114i | 0.299866 | − | 0.299866i | ||||
\(818\) | −13.2388 | − | 13.2388i | −0.462886 | − | 0.462886i | ||||
\(819\) | 9.75713 | − | 17.6743i | 0.340942 | − | 0.617591i | ||||
\(820\) | −19.2004 | − | 3.87635i | −0.670508 | − | 0.135368i | ||||
\(821\) | 31.2903 | 1.09204 | 0.546019 | − | 0.837773i | \(-0.316143\pi\) | ||||
0.546019 | + | 0.837773i | \(0.316143\pi\) | |||||||
\(822\) | 1.58938 | + | 12.3607i | 0.0554359 | + | 0.431129i | ||||
\(823\) | 12.9297 | − | 12.9297i | 0.450702 | − | 0.450702i | −0.444885 | − | 0.895588i | \(-0.646756\pi\) |
0.895588 | + | 0.444885i | \(0.146756\pi\) | |||||||
\(824\) | 0.611565 | − | 1.05926i | 0.0213049 | − | 0.0369011i | ||||
\(825\) | −9.50302 | − | 36.7477i | −0.330853 | − | 1.27939i | ||||
\(826\) | 5.64688 | + | 1.36144i | 0.196480 | + | 0.0473704i | ||||
\(827\) | −35.2752 | − | 35.2752i | −1.22664 | − | 1.22664i | −0.965228 | − | 0.261410i | \(-0.915812\pi\) |
−0.261410 | − | 0.965228i | \(-0.584188\pi\) | |||||||
\(828\) | −14.1243 | − | 8.26873i | −0.490852 | − | 0.287358i | ||||
\(829\) | −6.23516 | + | 10.7996i | −0.216556 | + | 0.375086i | −0.953753 | − | 0.300592i | \(-0.902816\pi\) |
0.737197 | + | 0.675678i | \(0.236149\pi\) | |||||||
\(830\) | 9.36825 | − | 3.15022i | 0.325177 | − | 0.109346i | ||||
\(831\) | 22.9272 | + | 17.7028i | 0.795335 | + | 0.614105i | ||||
\(832\) | −7.72496 | − | 2.06990i | −0.267815 | − | 0.0717607i | ||||
\(833\) | 32.9643 | + | 7.07303i | 1.14215 | + | 0.245066i | ||||
\(834\) | 4.02381 | + | 3.10692i | 0.139333 | + | 0.107584i | ||||
\(835\) | −17.9820 | + | 11.9409i | −0.622291 | + | 0.413231i | ||||
\(836\) | 7.72146 | + | 4.45798i | 0.267052 | + | 0.154183i | ||||
\(837\) | 0.356864 | + | 0.884104i | 0.0123350 | + | 0.0305591i | ||||
\(838\) | −3.17039 | + | 11.8321i | −0.109519 | + | 0.408732i | ||||
\(839\) | 22.1258 | − | 38.3230i | 0.763868 | − | 1.32306i | −0.176975 | − | 0.984215i | \(-0.556631\pi\) |
0.940843 | − | 0.338843i | \(-0.110035\pi\) | |||||||
\(840\) | 17.8351 | − | 3.90761i | 0.615368 | − | 0.134825i | ||||
\(841\) | −9.30201 | − | 16.1115i | −0.320759 | − | 0.555571i | ||||
\(842\) | −15.0184 | + | 4.02417i | −0.517569 | + | 0.138682i | ||||
\(843\) | 9.52052 | + | 12.4852i | 0.327904 | + | 0.430014i | ||||
\(844\) | 33.2192 | − | 19.1791i | 1.14345 | − | 0.660173i | ||||
\(845\) | 13.8409 | − | 4.65422i | 0.476141 | − | 0.160110i | ||||
\(846\) | −8.41508 | − | 8.51729i | −0.289316 | − | 0.292831i | ||||
\(847\) | 0.547694 | + | 21.7130i | 0.0188190 | + | 0.746067i | ||||
\(848\) | −6.49301 | − | 24.2322i | −0.222971 | − | 0.832139i | ||||
\(849\) | 30.5805 | − | 12.5589i | 1.04952 | − | 0.431019i | ||||
\(850\) | −10.4694 | − | 4.40695i | −0.359099 | − | 0.151157i | ||||
\(851\) | −10.1416 | −0.347651 | ||||||||
\(852\) | −9.00160 | − | 3.76046i | −0.308390 | − | 0.128831i | ||||
\(853\) | −21.4401 | + | 5.74486i | −0.734095 | + | 0.196700i | −0.606452 | − | 0.795120i | \(-0.707408\pi\) |
−0.127643 | + | 0.991820i | \(0.540741\pi\) | |||||||
\(854\) | −2.53273 | + | 10.5051i | −0.0866683 | + | 0.359477i | ||||
\(855\) | −4.20829 | − | 6.42111i | −0.143921 | − | 0.219597i | ||||
\(856\) | 12.7969 | + | 22.1649i | 0.437389 | + | 0.757580i | ||||
\(857\) | 39.9154 | + | 10.6953i | 1.36348 | + | 0.365344i | 0.865095 | − | 0.501609i | \(-0.167258\pi\) |
0.498389 | + | 0.866953i | \(0.333925\pi\) | |||||||
\(858\) | 7.24237 | − | 5.52261i | 0.247250 | − | 0.188539i | ||||
\(859\) | 3.15889 | − | 5.47136i | 0.107780 | − | 0.186680i | −0.807091 | − | 0.590428i | \(-0.798959\pi\) |
0.914871 | + | 0.403747i | \(0.132292\pi\) | |||||||
\(860\) | −18.7269 | + | 37.7021i | −0.638583 | + | 1.28563i | ||||
\(861\) | −14.1426 | − | 17.6074i | −0.481977 | − | 0.600059i | ||||
\(862\) | −8.74504 | + | 2.34323i | −0.297857 | + | 0.0798106i | ||||
\(863\) | −11.8562 | − | 3.17685i | −0.403589 | − | 0.108141i | 0.0513135 | − | 0.998683i | \(-0.483659\pi\) |
−0.454903 | + | 0.890541i | \(0.650326\pi\) | |||||||
\(864\) | −23.1663 | − | 9.84247i | −0.788132 | − | 0.334848i | ||||
\(865\) | −6.14396 | + | 0.385043i | −0.208901 | + | 0.0130918i | ||||
\(866\) | 10.6156i | 0.360733i | ||||||||
\(867\) | 1.36897 | + | 10.6466i | 0.0464928 | + | 0.361578i | ||||
\(868\) | −0.736173 | + | 0.450155i | −0.0249874 | + | 0.0152793i | ||||
\(869\) | 44.2922 | − | 25.5721i | 1.50251 | − | 0.867475i | ||||
\(870\) | 4.45129 | − | 3.85761i | 0.150913 | − | 0.130785i | ||||
\(871\) | −21.2647 | + | 12.2772i | −0.720526 | + | 0.415996i | ||||
\(872\) | −31.2692 | + | 8.37855i | −1.05891 | + | 0.283733i | ||||
\(873\) | 24.2745 | − | 41.4646i | 0.821567 | − | 1.40336i | ||||
\(874\) | 1.65685 | 0.0560438 | ||||||||
\(875\) | −29.5452 | − | 1.44341i | −0.998809 | − | 0.0487963i | ||||
\(876\) | 40.8847 | + | 5.50816i | 1.38137 | + | 0.186104i | ||||
\(877\) | 38.9915 | − | 10.4477i | 1.31665 | − | 0.352795i | 0.468928 | − | 0.883237i | \(-0.344641\pi\) |
0.847721 | + | 0.530442i | \(0.177974\pi\) | |||||||
\(878\) | 0.0421652 | + | 0.0421652i | 0.00142301 | + | 0.00142301i | ||||
\(879\) | 25.0701 | + | 19.3575i | 0.845593 | + | 0.652911i | ||||
\(880\) | −26.0775 | − | 5.26475i | −0.879071 | − | 0.177475i | ||||
\(881\) | − | 27.8168i | − | 0.937172i | −0.883418 | − | 0.468586i | \(-0.844764\pi\) | ||
0.883418 | − | 0.468586i | \(-0.155236\pi\) | |||||||
\(882\) | 8.78977 | + | 4.56709i | 0.295967 | + | 0.153782i | ||||
\(883\) | −6.46292 | + | 6.46292i | −0.217494 | + | 0.217494i | −0.807442 | − | 0.589947i | \(-0.799149\pi\) |
0.589947 | + | 0.807442i | \(0.299149\pi\) | |||||||
\(884\) | 21.7756i | 0.732392i | ||||||||
\(885\) | 7.87784 | + | 16.2143i | 0.264811 | + | 0.545038i | ||||
\(886\) | 6.09566 | 0.204788 | ||||||||
\(887\) | −6.59151 | − | 24.5999i | −0.221321 | − | 0.825982i | −0.983845 | − | 0.179022i | \(-0.942707\pi\) |
0.762524 | − | 0.646960i | \(-0.223960\pi\) | |||||||
\(888\) | −10.1145 | + | 1.30055i | −0.339419 | + | 0.0436436i | ||||
\(889\) | −38.4464 | − | 9.26924i | −1.28945 | − | 0.310880i | ||||
\(890\) | 2.54534 | + | 3.83307i | 0.0853199 | + | 0.128485i | ||||
\(891\) | −34.3965 | + | 19.3090i | −1.15233 | + | 0.646874i | ||||
\(892\) | 8.46418 | + | 31.5888i | 0.283402 | + | 1.05767i | ||||
\(893\) | −9.35358 | − | 2.50628i | −0.313005 | − | 0.0838696i | ||||
\(894\) | 3.88079 | + | 0.522836i | 0.129793 | + | 0.0174863i | ||||
\(895\) | −26.7516 | + | 8.99565i | −0.894207 | + | 0.300691i | ||||
\(896\) | 6.92738 | − | 28.7329i | 0.231427 | − | 0.959900i | ||||
\(897\) | −5.21214 | + | 12.4766i | −0.174028 | + | 0.416581i | ||||
\(898\) | 7.96236 | − | 7.96236i | 0.265707 | − | 0.265707i | ||||
\(899\) | −0.295802 | + | 0.512344i | −0.00986554 | + | 0.0170876i | ||||
\(900\) | 20.9606 | + | 16.4788i | 0.698685 | + | 0.549294i | ||||
\(901\) | −38.5480 | + | 22.2557i | −1.28422 | + | 0.741444i | ||||
\(902\) | −2.63693 | − | 9.84114i | −0.0878000 | − | 0.327674i | ||||
\(903\) | −44.4179 | + | 19.5647i | −1.47814 | + | 0.651073i | ||||
\(904\) | −8.29245 | + | 4.78765i | −0.275803 | + | 0.159235i | ||||
\(905\) | −15.7322 | − | 13.8766i | −0.522955 | − | 0.461274i | ||||
\(906\) | −2.13898 | − | 1.65158i | −0.0710629 | − | 0.0548701i | ||||
\(907\) | 5.94724 | − | 22.1954i | 0.197475 | − | 0.736986i | −0.794137 | − | 0.607738i | \(-0.792077\pi\) |
0.991612 | − | 0.129248i | \(-0.0412563\pi\) | |||||||
\(908\) | 5.84953 | − | 21.8308i | 0.194124 | − | 0.724479i | ||||
\(909\) | −10.8024 | − | 2.96450i | −0.358293 | − | 0.0983262i | ||||
\(910\) | −2.43122 | − | 6.66851i | −0.0805942 | − | 0.221059i | ||||
\(911\) | −23.6040 | + | 40.8832i | −0.782034 | + | 1.35452i | 0.148721 | + | 0.988879i | \(0.452484\pi\) |
−0.930755 | + | 0.365643i | \(0.880849\pi\) | |||||||
\(912\) | −5.33702 | + | 0.686251i | −0.176727 | + | 0.0227240i | ||||
\(913\) | −29.0416 | − | 29.0416i | −0.961137 | − | 0.961137i | ||||
\(914\) | 10.1062i | 0.334282i | ||||||||
\(915\) | −30.1641 | + | 14.6554i | −0.997195 | + | 0.484494i | ||||
\(916\) | 41.7305 | + | 24.0931i | 1.37881 | + | 0.796059i | ||||
\(917\) | −59.6110 | + | 1.50364i | −1.96853 | + | 0.0496546i | ||||
\(918\) | −1.64674 | + | 11.6894i | −0.0543507 | + | 0.385806i | ||||
\(919\) | −12.0321 | + | 6.94671i | −0.396901 | + | 0.229151i | −0.685146 | − | 0.728406i | \(-0.740262\pi\) |
0.288245 | + | 0.957557i | \(0.406928\pi\) | |||||||
\(920\) | −11.5907 | + | 3.89757i | −0.382135 | + | 0.128499i | ||||
\(921\) | −16.6197 | − | 40.4686i | −0.547639 | − | 1.33349i | ||||
\(922\) | −1.88312 | − | 7.02791i | −0.0620173 | − | 0.231452i | ||||
\(923\) | −2.08599 | + | 7.78501i | −0.0686611 | + | 0.256247i | ||||
\(924\) | −22.3567 | − | 27.8339i | −0.735480 | − | 0.915668i | ||||
\(925\) | 16.3676 | + | 2.25021i | 0.538164 | + | 0.0739865i | ||||
\(926\) | 7.35360 | + | 12.7368i | 0.241654 | + | 0.418557i | ||||
\(927\) | 1.77721 | + | 1.04043i | 0.0583712 | + | 0.0341721i | ||||
\(928\) | −4.04238 | − | 15.0864i | −0.132698 | − | 0.495235i | ||||
\(929\) | 35.8214 | 1.17526 | 0.587632 | − | 0.809129i | \(-0.300060\pi\) | ||||
0.587632 | + | 0.809129i | \(0.300060\pi\) | |||||||
\(930\) | 0.316769 | + | 0.109610i | 0.0103873 | + | 0.00359425i | ||||
\(931\) | 8.00103 | − | 0.403897i | 0.262223 | − | 0.0132372i | ||||
\(932\) | 8.19548 | − | 30.5859i | 0.268452 | − | 1.00188i | ||||
\(933\) | 8.33884 | + | 3.48359i | 0.273001 | + | 0.114047i | ||||
\(934\) | 2.96385 | + | 5.13353i | 0.0969800 | + | 0.167974i | ||||
\(935\) | 2.95237 | + | 47.1097i | 0.0965528 | + | 1.54065i | ||||
\(936\) | −3.59820 | + | 13.1115i | −0.117611 | + | 0.428564i | ||||
\(937\) | −1.45460 | + | 1.45460i | −0.0475197 | + | 0.0475197i | −0.730467 | − | 0.682948i | \(-0.760698\pi\) |
0.682948 | + | 0.730467i | \(0.260698\pi\) | |||||||
\(938\) | −6.28489 | − | 10.2782i | −0.205209 | − | 0.335594i | ||||
\(939\) | 11.1259 | − | 4.56920i | 0.363080 | − | 0.149110i | ||||
\(940\) | 33.5644 | − | 2.10349i | 1.09475 | − | 0.0686082i | ||||
\(941\) | − | 34.0264i | − | 1.10923i | −0.832107 | − | 0.554615i | \(-0.812866\pi\) | ||
0.832107 | − | 0.554615i | \(-0.187134\pi\) | |||||||
\(942\) | −0.941224 | + | 2.25306i | −0.0306667 | + | 0.0734085i | ||||
\(943\) | 10.6955 | + | 10.6955i | 0.348293 | + | 0.348293i | ||||
\(944\) | 12.6349 | 0.411231 | ||||||||
\(945\) | 6.39777 | + | 30.0677i | 0.208120 | + | 0.978103i | ||||
\(946\) | −21.8960 | −0.711902 | ||||||||
\(947\) | −13.5530 | − | 13.5530i | −0.440413 | − | 0.440413i | 0.451738 | − | 0.892151i | \(-0.350804\pi\) |
−0.892151 | + | 0.451738i | \(0.850804\pi\) | |||||||
\(948\) | −13.8485 | + | 33.1500i | −0.449779 | + | 1.07666i | ||||
\(949\) | − | 34.0826i | − | 1.10637i | ||||||
\(950\) | −2.67399 | − | 0.367619i | −0.0867559 | − | 0.0119271i | ||||
\(951\) | −19.5378 | + | 8.02383i | −0.633558 | + | 0.260191i | ||||
\(952\) | −22.6983 | + | 0.572547i | −0.735655 | + | 0.0185563i | ||||
\(953\) | 23.2988 | − | 23.2988i | 0.754721 | − | 0.754721i | −0.220635 | − | 0.975356i | \(-0.570813\pi\) |
0.975356 | + | 0.220635i | \(0.0708131\pi\) | |||||||
\(954\) | −12.6522 | + | 3.30842i | −0.409630 | + | 0.107114i | ||||
\(955\) | −26.8697 | + | 30.4627i | −0.869483 | + | 0.985751i | ||||
\(956\) | −13.4584 | − | 23.3107i | −0.435276 | − | 0.753921i | ||||
\(957\) | −22.5850 | − | 9.43497i | −0.730069 | − | 0.304989i | ||||
\(958\) | −4.62062 | + | 17.2444i | −0.149285 | + | 0.557141i | ||||
\(959\) | −11.4253 | − | 38.7076i | −0.368941 | − | 1.24993i | ||||
\(960\) | 10.9532 | − | 5.32168i | 0.353513 | − | 0.171756i | ||||
\(961\) | 30.9663 | 0.998914 | ||||||||
\(962\) | 1.02606 | + | 3.82930i | 0.0330815 | + | 0.123462i | ||||
\(963\) | −37.4480 | + | 21.3202i | −1.20674 | + | 0.687034i | ||||
\(964\) | −6.22295 | − | 10.7785i | −0.200428 | − | 0.347151i | ||||
\(965\) | −0.695137 | − | 11.0920i | −0.0223773 | − | 0.357064i | ||||
\(966\) | −6.18410 | − | 2.40213i | −0.198970 | − | 0.0772873i | ||||
\(967\) | −9.20097 | + | 34.3385i | −0.295883 | + | 1.10425i | 0.644630 | + | 0.764495i | \(0.277011\pi\) |
−0.940513 | + | 0.339757i | \(0.889655\pi\) | |||||||
\(968\) | −3.78588 | − | 14.1291i | −0.121683 | − | 0.454126i | ||||
\(969\) | 3.62696 | + | 8.83155i | 0.116515 | + | 0.283710i | ||||
\(970\) | −5.38408 | − | 16.0114i | −0.172872 | − | 0.514094i | ||||
\(971\) | 26.5026 | − | 15.3013i | 0.850510 | − | 0.491042i | −0.0103128 | − | 0.999947i | \(-0.503283\pi\) |
0.860823 | + | 0.508905i | \(0.169949\pi\) | |||||||
\(972\) | 10.9887 | − | 25.4365i | 0.352464 | − | 0.815876i | ||||
\(973\) | −14.4605 | − | 7.86942i | −0.463583 | − | 0.252282i | ||||
\(974\) | −1.29648 | − | 0.748521i | −0.0415418 | − | 0.0239842i | ||||
\(975\) | 11.1802 | − | 18.9795i | 0.358052 | − | 0.607831i | ||||
\(976\) | 23.5052i | 0.752382i | ||||||||
\(977\) | −17.4169 | − | 17.4169i | −0.557217 | − | 0.557217i | 0.371297 | − | 0.928514i | \(-0.378913\pi\) |
−0.928514 | + | 0.371297i | \(0.878913\pi\) | |||||||
\(978\) | −5.22906 | + | 0.672368i | −0.167207 | + | 0.0215000i | ||||
\(979\) | 9.55999 | − | 16.5584i | 0.305539 | − | 0.529208i | ||||
\(980\) | −25.8908 | + | 10.1861i | −0.827050 | + | 0.325382i | ||||
\(981\) | −13.7887 | − | 52.7315i | −0.440240 | − | 1.68359i | ||||
\(982\) | 0.604560 | − | 2.25625i | 0.0192923 | − | 0.0719998i | ||||
\(983\) | −10.5661 | + | 39.4332i | −0.337006 | + | 1.25772i | 0.564671 | + | 0.825316i | \(0.309003\pi\) |
−0.901678 | + | 0.432409i | \(0.857664\pi\) | |||||||
\(984\) | 12.0384 | + | 9.29526i | 0.383771 | + | 0.296322i | ||||
\(985\) | 36.6663 | − | 2.29788i | 1.16829 | − | 0.0732167i | ||||
\(986\) | −6.34365 | + | 3.66251i | −0.202023 | + | 0.116638i | ||||
\(987\) | 31.2781 | + | 22.9156i | 0.995592 | + | 0.729410i | ||||
\(988\) | 1.33920 | + | 4.99798i | 0.0426058 | + | 0.159007i | ||||
\(989\) | 28.1521 | − | 16.2536i | 0.895184 | − | 0.516835i | ||||
\(990\) | −2.82646 | + | 13.5771i | −0.0898309 | + | 0.431508i | ||||
\(991\) | −21.2713 | + | 36.8430i | −0.675705 | + | 1.17036i | 0.300557 | + | 0.953764i | \(0.402827\pi\) |
−0.976262 | + | 0.216592i | \(0.930506\pi\) | |||||||
\(992\) | 0.628480 | − | 0.628480i | 0.0199543 | − | 0.0199543i | ||||
\(993\) | −15.8725 | + | 37.9949i | −0.503699 | + | 1.20573i | ||||
\(994\) | −3.84427 | − | 0.926835i | −0.121933 | − | 0.0293974i | ||||
\(995\) | −5.71265 | − | 16.9885i | −0.181103 | − | 0.538571i | ||||
\(996\) | 28.5921 | + | 3.85205i | 0.905975 | + | 0.122057i | ||||
\(997\) | −55.8729 | − | 14.9711i | −1.76951 | − | 0.474140i | −0.780905 | − | 0.624650i | \(-0.785242\pi\) |
−0.988608 | + | 0.150510i | \(0.951908\pi\) | |||||||
\(998\) | 4.20651 | + | 15.6989i | 0.133155 | + | 0.496941i | ||||
\(999\) | −2.08687 | − | 17.0424i | −0.0660257 | − | 0.539199i |
(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 | 315.2.bs.e.52.17 | ✓ | 160 | |
3.2 | odd | 2 | 945.2.bv.e.262.24 | 160 | |||
5.3 | odd | 4 | inner | 315.2.bs.e.178.17 | yes | 160 | |
7.5 | odd | 6 | 315.2.cg.e.187.17 | yes | 160 | ||
9.4 | even | 3 | 315.2.cg.e.157.24 | yes | 160 | ||
9.5 | odd | 6 | 945.2.cj.e.577.17 | 160 | |||
15.8 | even | 4 | 945.2.bv.e.73.24 | 160 | |||
21.5 | even | 6 | 945.2.cj.e.397.24 | 160 | |||
35.33 | even | 12 | 315.2.cg.e.313.24 | yes | 160 | ||
45.13 | odd | 12 | 315.2.cg.e.283.17 | yes | 160 | ||
45.23 | even | 12 | 945.2.cj.e.388.24 | 160 | |||
63.5 | even | 6 | 945.2.bv.e.712.24 | 160 | |||
63.40 | odd | 6 | inner | 315.2.bs.e.292.17 | yes | 160 | |
105.68 | odd | 12 | 945.2.cj.e.208.17 | 160 | |||
315.68 | odd | 12 | 945.2.bv.e.523.24 | 160 | |||
315.103 | even | 12 | inner | 315.2.bs.e.103.17 | yes | 160 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
315.2.bs.e.52.17 | ✓ | 160 | 1.1 | even | 1 | trivial | |
315.2.bs.e.103.17 | yes | 160 | 315.103 | even | 12 | inner | |
315.2.bs.e.178.17 | yes | 160 | 5.3 | odd | 4 | inner | |
315.2.bs.e.292.17 | yes | 160 | 63.40 | odd | 6 | inner | |
315.2.cg.e.157.24 | yes | 160 | 9.4 | even | 3 | ||
315.2.cg.e.187.17 | yes | 160 | 7.5 | odd | 6 | ||
315.2.cg.e.283.17 | yes | 160 | 45.13 | odd | 12 | ||
315.2.cg.e.313.24 | yes | 160 | 35.33 | even | 12 | ||
945.2.bv.e.73.24 | 160 | 15.8 | even | 4 | |||
945.2.bv.e.262.24 | 160 | 3.2 | odd | 2 | |||
945.2.bv.e.523.24 | 160 | 315.68 | odd | 12 | |||
945.2.bv.e.712.24 | 160 | 63.5 | even | 6 | |||
945.2.cj.e.208.17 | 160 | 105.68 | odd | 12 | |||
945.2.cj.e.388.24 | 160 | 45.23 | even | 12 | |||
945.2.cj.e.397.24 | 160 | 21.5 | even | 6 | |||
945.2.cj.e.577.17 | 160 | 9.5 | odd | 6 |