Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [360,2,Mod(77,360)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(360, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 6, 10, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("360.77");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 360 = 2^{3} \cdot 3^{2} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 360.br (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: | \(2.87461447277\) |
Analytic rank: | \(0\) |
Dimension: | \(256\) |
Relative dimension: | \(64\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 77.18 | ||
Character | \(\chi\) | \(=\) | 360.77 |
Dual form | 360.2.br.e.173.18 |
$q$-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 \(\left(\mathbb{Z}/360\mathbb{Z}\right)^\times\).
\(n\) | \(181\) | \(217\) | \(271\) | \(281\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{4}\right)\) | \(1\) | \(e\left(\frac{5}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.890307 | + | 1.09880i | −0.629542 | + | 0.776966i | ||||
\(3\) | −0.176815 | + | 1.72300i | −0.102084 | + | 0.994776i | ||||
\(4\) | −0.414706 | − | 1.95653i | −0.207353 | − | 0.978266i | ||||
\(5\) | −1.48043 | − | 1.67581i | −0.662067 | − | 0.749445i | ||||
\(6\) | −1.73581 | − | 1.72829i | −0.708641 | − | 0.705569i | ||||
\(7\) | 0.827385 | − | 3.08784i | 0.312722 | − | 1.16710i | −0.613369 | − | 0.789796i | \(-0.710186\pi\) |
0.926091 | − | 0.377299i | \(-0.123147\pi\) | |||||||
\(8\) | 2.51905 | + | 1.28624i | 0.890617 | + | 0.454753i | ||||
\(9\) | −2.93747 | − | 0.609306i | −0.979158 | − | 0.203102i | ||||
\(10\) | 3.15941 | − | 0.134701i | 0.999092 | − | 0.0425961i | ||||
\(11\) | 2.87108 | + | 4.97286i | 0.865664 | + | 1.49937i | 0.866386 | + | 0.499375i | \(0.166437\pi\) |
−0.000722028 | 1.00000i | \(0.500230\pi\) | ||||||||
\(12\) | 3.44444 | − | 0.368595i | 0.994323 | − | 0.106404i | ||||
\(13\) | 3.40417 | − | 0.912144i | 0.944146 | − | 0.252983i | 0.246270 | − | 0.969201i | \(-0.420795\pi\) |
0.697877 | + | 0.716218i | \(0.254128\pi\) | |||||||
\(14\) | 2.65628 | + | 3.65826i | 0.709922 | + | 0.977711i | ||||
\(15\) | 3.14919 | − | 2.25447i | 0.813116 | − | 0.582101i | ||||
\(16\) | −3.65604 | + | 1.62277i | −0.914009 | + | 0.405693i | ||||
\(17\) | 2.83816 | − | 2.83816i | 0.688356 | − | 0.688356i | −0.273513 | − | 0.961868i | \(-0.588185\pi\) |
0.961868 | + | 0.273513i | \(0.0881855\pi\) | |||||||
\(18\) | 3.28476 | − | 2.68521i | 0.774224 | − | 0.632911i | ||||
\(19\) | 2.48289 | 0.569613 | 0.284807 | − | 0.958585i | \(-0.408071\pi\) | ||||
0.284807 | + | 0.958585i | \(0.408071\pi\) | |||||||
\(20\) | −2.66483 | + | 3.59147i | −0.595875 | + | 0.803077i | ||||
\(21\) | 5.17407 | + | 1.97157i | 1.12907 | + | 0.430231i | ||||
\(22\) | −8.02031 | − | 1.27264i | −1.70994 | − | 0.271328i | ||||
\(23\) | 2.65778 | − | 0.712150i | 0.554185 | − | 0.148493i | 0.0291516 | − | 0.999575i | \(-0.490719\pi\) |
0.525034 | + | 0.851082i | \(0.324053\pi\) | |||||||
\(24\) | −2.66159 | + | 4.11290i | −0.543296 | + | 0.839541i | ||||
\(25\) | −0.616679 | + | 4.96182i | −0.123336 | + | 0.992365i | ||||
\(26\) | −2.02849 | + | 4.55258i | −0.397820 | + | 0.892833i | ||||
\(27\) | 1.56923 | − | 4.95354i | 0.301998 | − | 0.953309i | ||||
\(28\) | −6.38459 | − | 0.338257i | −1.20657 | − | 0.0639246i | ||||
\(29\) | −3.41238 | + | 1.97014i | −0.633662 | + | 0.365845i | −0.782169 | − | 0.623066i | \(-0.785887\pi\) |
0.148507 | + | 0.988911i | \(0.452553\pi\) | |||||||
\(30\) | −0.326542 | + | 5.46748i | −0.0596182 | + | 0.998221i | ||||
\(31\) | 1.68465 | − | 2.91791i | 0.302573 | − | 0.524072i | −0.674145 | − | 0.738599i | \(-0.735488\pi\) |
0.976718 | + | 0.214527i | \(0.0688211\pi\) | |||||||
\(32\) | 1.47190 | − | 5.46201i | 0.260197 | − | 0.965555i | ||||
\(33\) | −9.07590 | + | 4.06760i | −1.57991 | + | 0.708079i | ||||
\(34\) | 0.591726 | + | 5.64540i | 0.101480 | + | 0.968178i | ||||
\(35\) | −6.39952 | + | 3.18478i | −1.08172 | + | 0.538327i | ||||
\(36\) | 0.0260615 | + | 5.99994i | 0.00434359 | + | 0.999991i | ||||
\(37\) | 0.998175 | − | 0.998175i | 0.164099 | − | 0.164099i | −0.620281 | − | 0.784380i | \(-0.712981\pi\) |
0.784380 | + | 0.620281i | \(0.212981\pi\) | |||||||
\(38\) | −2.21053 | + | 2.72819i | −0.358596 | + | 0.442570i | ||||
\(39\) | 0.969717 | + | 6.02667i | 0.155279 | + | 0.965039i | ||||
\(40\) | −1.57377 | − | 6.12562i | −0.248835 | − | 0.968546i | ||||
\(41\) | 2.03512 | + | 1.17498i | 0.317832 | + | 0.183500i | 0.650426 | − | 0.759570i | \(-0.274591\pi\) |
−0.332594 | + | 0.943070i | \(0.607924\pi\) | |||||||
\(42\) | −6.77286 | + | 3.92995i | −1.04507 | + | 0.606404i | ||||
\(43\) | 3.35315 | − | 12.5141i | 0.511350 | − | 1.90839i | 0.105578 | − | 0.994411i | \(-0.466331\pi\) |
0.405772 | − | 0.913974i | \(-0.367003\pi\) | |||||||
\(44\) | 8.53891 | − | 7.67964i | 1.28729 | − | 1.15775i | ||||
\(45\) | 3.32763 | + | 5.82468i | 0.496054 | + | 0.868292i | ||||
\(46\) | −1.58373 | + | 3.55439i | −0.233509 | + | 0.524066i | ||||
\(47\) | 9.57525 | + | 2.56568i | 1.39669 | + | 0.374243i | 0.877157 | − | 0.480204i | \(-0.159438\pi\) |
0.519538 | + | 0.854448i | \(0.326104\pi\) | |||||||
\(48\) | −2.14960 | − | 6.58629i | −0.310268 | − | 0.950649i | ||||
\(49\) | −2.78804 | − | 1.60968i | −0.398291 | − | 0.229954i | ||||
\(50\) | −4.90300 | − | 5.09515i | −0.693389 | − | 0.720563i | ||||
\(51\) | 4.38833 | + | 5.39199i | 0.614489 | + | 0.755030i | ||||
\(52\) | −3.19637 | − | 6.28209i | −0.443257 | − | 0.871169i | ||||
\(53\) | −6.00143 | + | 6.00143i | −0.824359 | + | 0.824359i | −0.986730 | − | 0.162370i | \(-0.948086\pi\) |
0.162370 | + | 0.986730i | \(0.448086\pi\) | |||||||
\(54\) | 4.04583 | + | 6.13443i | 0.550568 | + | 0.834790i | ||||
\(55\) | 4.08315 | − | 12.1733i | 0.550571 | − | 1.64145i | ||||
\(56\) | 6.05592 | − | 6.71421i | 0.809257 | − | 0.897224i | ||||
\(57\) | −0.439012 | + | 4.27802i | −0.0581486 | + | 0.566637i | ||||
\(58\) | 0.873285 | − | 5.50353i | 0.114668 | − | 0.722649i | ||||
\(59\) | 1.03727 | + | 0.598870i | 0.135041 | + | 0.0779662i | 0.565999 | − | 0.824406i | \(-0.308491\pi\) |
−0.430957 | + | 0.902372i | \(0.641824\pi\) | |||||||
\(60\) | −5.71693 | − | 5.22654i | −0.738052 | − | 0.674744i | ||||
\(61\) | −3.17560 | + | 1.83343i | −0.406594 | + | 0.234747i | −0.689325 | − | 0.724452i | \(-0.742093\pi\) |
0.282731 | + | 0.959199i | \(0.408760\pi\) | |||||||
\(62\) | 1.70633 | + | 4.44893i | 0.216704 | + | 0.565014i | ||||
\(63\) | −4.31187 | + | 8.56633i | −0.543244 | + | 1.07926i | ||||
\(64\) | 4.69119 | + | 6.48018i | 0.586399 | + | 0.810023i | ||||
\(65\) | −6.56820 | − | 4.35438i | −0.814685 | − | 0.540094i | ||||
\(66\) | 3.61087 | − | 13.5940i | 0.444468 | − | 1.67330i | ||||
\(67\) | 2.95482 | + | 11.0276i | 0.360989 | + | 1.34723i | 0.872777 | + | 0.488119i | \(0.162317\pi\) |
−0.511788 | + | 0.859112i | \(0.671017\pi\) | |||||||
\(68\) | −6.72997 | − | 4.37596i | −0.816128 | − | 0.530662i | ||||
\(69\) | 0.757099 | + | 4.70528i | 0.0911441 | + | 0.566449i | ||||
\(70\) | 2.19811 | − | 9.86721i | 0.262725 | − | 1.17936i | ||||
\(71\) | − | 11.4905i | − | 1.36367i | −0.731506 | − | 0.681835i | \(-0.761182\pi\) | ||
0.731506 | − | 0.681835i | \(-0.238818\pi\) | |||||||
\(72\) | −6.61592 | − | 5.31316i | −0.779693 | − | 0.626161i | ||||
\(73\) | 5.56428 | − | 5.56428i | 0.651250 | − | 0.651250i | −0.302044 | − | 0.953294i | \(-0.597669\pi\) |
0.953294 | + | 0.302044i | \(0.0976690\pi\) | |||||||
\(74\) | 0.208109 | + | 1.98547i | 0.0241921 | + | 0.230807i | ||||
\(75\) | −8.44020 | − | 1.93987i | −0.974590 | − | 0.223996i | ||||
\(76\) | −1.02967 | − | 4.85785i | −0.118111 | − | 0.557233i | ||||
\(77\) | 17.7309 | − | 4.75099i | 2.02063 | − | 0.541425i | ||||
\(78\) | −7.48543 | − | 4.30007i | −0.847558 | − | 0.486887i | ||||
\(79\) | −1.72690 | + | 0.997028i | −0.194292 | + | 0.112174i | −0.593990 | − | 0.804472i | \(-0.702448\pi\) |
0.399698 | + | 0.916647i | \(0.369115\pi\) | |||||||
\(80\) | 8.13195 | + | 3.72443i | 0.909180 | + | 0.416404i | ||||
\(81\) | 8.25749 | + | 3.57964i | 0.917499 | + | 0.397738i | ||||
\(82\) | −3.10294 | + | 1.19009i | −0.342662 | + | 0.131423i | ||||
\(83\) | −7.25353 | − | 1.94358i | −0.796179 | − | 0.213335i | −0.162273 | − | 0.986746i | \(-0.551883\pi\) |
−0.633906 | + | 0.773410i | \(0.718549\pi\) | |||||||
\(84\) | 1.71171 | − | 10.9409i | 0.186763 | − | 1.19374i | ||||
\(85\) | −8.95792 | − | 0.554533i | −0.971622 | − | 0.0601475i | ||||
\(86\) | 10.7651 | + | 14.8258i | 1.16083 | + | 1.59871i | ||||
\(87\) | −2.79119 | − | 6.22788i | −0.299247 | − | 0.667699i | ||||
\(88\) | 0.836114 | + | 16.2198i | 0.0891301 | + | 1.72903i | ||||
\(89\) | −4.68546 | −0.496657 | −0.248329 | − | 0.968676i | \(-0.579881\pi\) | ||||
−0.248329 | + | 0.968676i | \(0.579881\pi\) | |||||||
\(90\) | −9.36275 | − | 1.52937i | −0.986920 | − | 0.161209i | ||||
\(91\) | − | 11.2662i | − | 1.18102i | ||||||
\(92\) | −2.49554 | − | 4.90470i | −0.260178 | − | 0.511350i | ||||
\(93\) | 4.72969 | + | 3.41859i | 0.490446 | + | 0.354492i | ||||
\(94\) | −11.3441 | + | 8.23701i | −1.17005 | + | 0.849583i | ||||
\(95\) | −3.67573 | − | 4.16085i | −0.377122 | − | 0.426894i | ||||
\(96\) | 9.15079 | + | 3.50185i | 0.933949 | + | 0.357406i | ||||
\(97\) | −0.0161684 | + | 0.0603412i | −0.00164165 | + | 0.00612672i | −0.966742 | − | 0.255754i | \(-0.917676\pi\) |
0.965100 | + | 0.261881i | \(0.0843428\pi\) | |||||||
\(98\) | 4.25092 | − | 1.63038i | 0.429408 | − | 0.164693i | ||||
\(99\) | −5.40373 | − | 16.3570i | −0.543096 | − | 1.64394i | ||||
\(100\) | 9.96371 | − | 0.851148i | 0.996371 | − | 0.0851148i | ||||
\(101\) | −3.98616 | − | 6.90424i | −0.396638 | − | 0.686997i | 0.596671 | − | 0.802486i | \(-0.296490\pi\) |
−0.993309 | + | 0.115489i | \(0.963157\pi\) | |||||||
\(102\) | −9.83167 | + | 0.0213524i | −0.973480 | + | 0.00211421i | ||||
\(103\) | 2.45029 | + | 9.14462i | 0.241434 | + | 0.901046i | 0.975142 | + | 0.221580i | \(0.0711215\pi\) |
−0.733708 | + | 0.679465i | \(0.762212\pi\) | |||||||
\(104\) | 9.74849 | + | 2.08083i | 0.955918 | + | 0.204042i | ||||
\(105\) | −4.35586 | − | 11.5895i | −0.425088 | − | 1.13102i | ||||
\(106\) | −1.25123 | − | 11.9375i | −0.121530 | − | 1.15947i | ||||
\(107\) | −10.2518 | − | 10.2518i | −0.991077 | − | 0.991077i | 0.00888370 | − | 0.999961i | \(-0.497172\pi\) |
−0.999961 | + | 0.00888370i | \(0.997172\pi\) | |||||||
\(108\) | −10.3425 | − | 1.01598i | −0.995210 | − | 0.0977625i | ||||
\(109\) | −6.24344 | −0.598013 | −0.299006 | − | 0.954251i | \(-0.596655\pi\) | ||||
−0.299006 | + | 0.954251i | \(0.596655\pi\) | |||||||
\(110\) | 9.74077 | + | 15.3246i | 0.928746 | + | 1.46114i | ||||
\(111\) | 1.54337 | + | 1.89635i | 0.146490 | + | 0.179994i | ||||
\(112\) | 1.98592 | + | 12.6319i | 0.187652 | + | 1.19361i | ||||
\(113\) | −3.54395 | + | 0.949598i | −0.333387 | + | 0.0893307i | −0.421629 | − | 0.906768i | \(-0.638542\pi\) |
0.0882426 | + | 0.996099i | \(0.471875\pi\) | |||||||
\(114\) | −4.30982 | − | 4.29114i | −0.403651 | − | 0.401902i | ||||
\(115\) | −5.12807 | − | 3.39965i | −0.478195 | − | 0.317019i | ||||
\(116\) | 5.26977 | + | 5.85940i | 0.489286 | + | 0.544031i | ||||
\(117\) | −10.5554 | + | 0.605217i | −0.975849 | + | 0.0559524i | ||||
\(118\) | −1.58153 | + | 0.606574i | −0.145591 | + | 0.0558396i | ||||
\(119\) | −6.41555 | − | 11.1121i | −0.588113 | − | 1.01864i | ||||
\(120\) | 10.8327 | − | 1.62851i | 0.988888 | − | 0.148662i | ||||
\(121\) | −10.9862 | + | 19.0287i | −0.998749 | + | 1.72988i | ||||
\(122\) | 0.812690 | − | 5.12166i | 0.0735775 | − | 0.463693i | ||||
\(123\) | −2.38432 | + | 3.29876i | −0.214987 | + | 0.297439i | ||||
\(124\) | −6.40762 | − | 2.08601i | −0.575421 | − | 0.187329i | ||||
\(125\) | 9.22802 | − | 6.31218i | 0.825380 | − | 0.564578i | ||||
\(126\) | −5.57377 | − | 12.3645i | −0.496550 | − | 1.10152i | ||||
\(127\) | 5.32952 | + | 5.32952i | 0.472919 | + | 0.472919i | 0.902858 | − | 0.429939i | \(-0.141465\pi\) |
−0.429939 | + | 0.902858i | \(0.641465\pi\) | |||||||
\(128\) | −11.2970 | − | 0.614689i | −0.998523 | − | 0.0543313i | ||||
\(129\) | 20.9690 | + | 7.99017i | 1.84621 | + | 0.703495i | ||||
\(130\) | 10.6323 | − | 3.34038i | 0.932513 | − | 0.292971i | ||||
\(131\) | −6.13783 | + | 10.6310i | −0.536265 | + | 0.928838i | 0.462836 | + | 0.886444i | \(0.346832\pi\) |
−0.999101 | + | 0.0423938i | \(0.986502\pi\) | |||||||
\(132\) | 11.7222 | + | 16.0704i | 1.02029 | + | 1.39875i | ||||
\(133\) | 2.05430 | − | 7.66677i | 0.178131 | − | 0.664793i | ||||
\(134\) | −14.7477 | − | 6.57116i | −1.27401 | − | 0.567662i | ||||
\(135\) | −10.6243 | + | 4.70362i | −0.914395 | + | 0.404823i | ||||
\(136\) | 10.8000 | − | 3.49892i | 0.926094 | − | 0.300030i | ||||
\(137\) | −8.28881 | − | 2.22098i | −0.708161 | − | 0.189751i | −0.113278 | − | 0.993563i | \(-0.536135\pi\) |
−0.594883 | + | 0.803812i | \(0.702802\pi\) | |||||||
\(138\) | −5.84419 | − | 3.35724i | −0.497491 | − | 0.285788i | ||||
\(139\) | 0.406084 | − | 0.703358i | 0.0344436 | − | 0.0596580i | −0.848290 | − | 0.529532i | \(-0.822367\pi\) |
0.882733 | + | 0.469874i | \(0.155701\pi\) | |||||||
\(140\) | 8.88506 | + | 11.2001i | 0.750924 | + | 0.946583i | ||||
\(141\) | −6.11373 | + | 16.0445i | −0.514869 | + | 1.35119i | ||||
\(142\) | 12.6257 | + | 10.2301i | 1.05953 | + | 0.858488i | ||||
\(143\) | 14.3096 | + | 14.3096i | 1.19663 | + | 1.19663i | ||||
\(144\) | 11.7283 | − | 2.53921i | 0.977356 | − | 0.211600i | ||||
\(145\) | 8.35335 | + | 2.80185i | 0.693708 | + | 0.232681i | ||||
\(146\) | 1.16009 | + | 11.0679i | 0.0960099 | + | 0.915989i | ||||
\(147\) | 3.26644 | − | 4.51918i | 0.269412 | − | 0.372736i | ||||
\(148\) | −2.36691 | − | 1.53901i | −0.194559 | − | 0.126506i | ||||
\(149\) | 5.41087 | + | 3.12397i | 0.443276 | + | 0.255925i | 0.704986 | − | 0.709221i | \(-0.250953\pi\) |
−0.261710 | + | 0.965146i | \(0.584287\pi\) | |||||||
\(150\) | 9.64588 | − | 7.54698i | 0.787583 | − | 0.616208i | ||||
\(151\) | 0.175039 | + | 0.303176i | 0.0142444 | + | 0.0246721i | 0.873060 | − | 0.487613i | \(-0.162132\pi\) |
−0.858815 | + | 0.512285i | \(0.828799\pi\) | |||||||
\(152\) | 6.25451 | + | 3.19358i | 0.507307 | + | 0.259034i | ||||
\(153\) | −10.0663 | + | 6.60772i | −0.813815 | + | 0.534202i | ||||
\(154\) | −10.5656 | + | 23.7125i | −0.851400 | + | 1.91081i | ||||
\(155\) | −7.38386 | + | 1.49658i | −0.593086 | + | 0.120209i | ||||
\(156\) | 11.3892 | − | 4.39658i | 0.911868 | − | 0.352008i | ||||
\(157\) | −3.82742 | − | 14.2841i | −0.305461 | − | 1.14000i | −0.932548 | − | 0.361047i | \(-0.882419\pi\) |
0.627086 | − | 0.778950i | \(-0.284247\pi\) | |||||||
\(158\) | 0.441944 | − | 2.78518i | 0.0351592 | − | 0.221577i | ||||
\(159\) | −9.27933 | − | 11.4016i | −0.735899 | − | 0.904207i | ||||
\(160\) | −11.3323 | + | 5.61947i | −0.895899 | + | 0.444258i | ||||
\(161\) | − | 8.79603i | − | 0.693224i | ||||||
\(162\) | −11.2850 | + | 5.88632i | −0.886633 | + | 0.462473i | ||||
\(163\) | 13.6267 | + | 13.6267i | 1.06732 | + | 1.06732i | 0.997564 | + | 0.0697610i | \(0.0222237\pi\) |
0.0697610 | + | 0.997564i | \(0.477776\pi\) | |||||||
\(164\) | 1.45490 | − | 4.46904i | 0.113609 | − | 0.348974i | ||||
\(165\) | 20.2527 | + | 9.18770i | 1.57667 | + | 0.715262i | ||||
\(166\) | 8.59347 | − | 6.23977i | 0.666983 | − | 0.484300i | ||||
\(167\) | 2.91631 | + | 10.8838i | 0.225671 | + | 0.842215i | 0.982135 | + | 0.188179i | \(0.0602586\pi\) |
−0.756464 | + | 0.654035i | \(0.773075\pi\) | |||||||
\(168\) | 10.4978 | + | 11.6215i | 0.809924 | + | 0.896621i | ||||
\(169\) | −0.501978 | + | 0.289817i | −0.0386137 | + | 0.0222936i | ||||
\(170\) | 8.58462 | − | 9.34922i | 0.658410 | − | 0.717052i | ||||
\(171\) | −7.29341 | − | 1.51284i | −0.557741 | − | 0.115690i | ||||
\(172\) | −25.8748 | − | 1.37086i | −1.97294 | − | 0.104527i | ||||
\(173\) | −3.73509 | − | 1.00082i | −0.283974 | − | 0.0760906i | 0.114021 | − | 0.993478i | \(-0.463627\pi\) |
−0.397994 | + | 0.917388i | \(0.630294\pi\) | |||||||
\(174\) | 9.32819 | + | 2.47778i | 0.707168 | + | 0.187840i | ||||
\(175\) | 14.8111 | + | 6.00955i | 1.11961 | + | 0.454279i | ||||
\(176\) | −18.5666 | − | 13.5219i | −1.39951 | − | 1.01925i | ||||
\(177\) | −1.21526 | + | 1.68133i | −0.0913445 | + | 0.126377i | ||||
\(178\) | 4.17150 | − | 5.14836i | 0.312667 | − | 0.385886i | ||||
\(179\) | − | 0.840794i | − | 0.0628439i | −0.999506 | − | 0.0314220i | \(-0.989996\pi\) | ||
0.999506 | − | 0.0314220i | \(-0.0100036\pi\) | |||||||
\(180\) | 10.0162 | − | 8.92614i | 0.746562 | − | 0.665316i | ||||
\(181\) | 1.73220i | 0.128753i | 0.997926 | + | 0.0643766i | \(0.0205059\pi\) | ||||
−0.997926 | + | 0.0643766i | \(0.979494\pi\) | |||||||
\(182\) | 12.3793 | + | 10.0304i | 0.917615 | + | 0.743503i | ||||
\(183\) | −2.59752 | − | 5.79575i | −0.192014 | − | 0.428434i | ||||
\(184\) | 7.61106 | + | 1.62459i | 0.561095 | + | 0.119767i | ||||
\(185\) | −3.15048 | − | 0.195028i | −0.231628 | − | 0.0143387i | ||||
\(186\) | −7.96721 | + | 2.15336i | −0.584184 | + | 0.157892i | ||||
\(187\) | 22.2624 | + | 5.96519i | 1.62799 | + | 0.436218i | ||||
\(188\) | 1.04892 | − | 19.7983i | 0.0765003 | − | 1.44394i | ||||
\(189\) | −13.9974 | − | 8.94401i | −1.01816 | − | 0.650581i | ||||
\(190\) | 7.84445 | − | 0.334446i | 0.569096 | − | 0.0242633i | ||||
\(191\) | 0.726920 | − | 0.419688i | 0.0525981 | − | 0.0303675i | −0.473470 | − | 0.880810i | \(-0.656999\pi\) |
0.526068 | + | 0.850442i | \(0.323666\pi\) | |||||||
\(192\) | −11.9948 | + | 6.93714i | −0.865653 | + | 0.500645i | ||||
\(193\) | 0.665277 | + | 2.48285i | 0.0478877 | + | 0.178719i | 0.985727 | − | 0.168350i | \(-0.0538437\pi\) |
−0.937840 | + | 0.347069i | \(0.887177\pi\) | |||||||
\(194\) | −0.0519079 | − | 0.0714880i | −0.00372677 | − | 0.00513254i | ||||
\(195\) | 8.66396 | − | 10.5471i | 0.620439 | − | 0.755293i | ||||
\(196\) | −1.99316 | + | 6.12243i | −0.142369 | + | 0.437317i | ||||
\(197\) | −19.4656 | − | 19.4656i | −1.38687 | − | 1.38687i | −0.831813 | − | 0.555055i | \(-0.812697\pi\) |
−0.555055 | − | 0.831813i | \(-0.687303\pi\) | |||||||
\(198\) | 22.7840 | + | 8.62517i | 1.61919 | + | 0.612964i | ||||
\(199\) | 1.74818i | 0.123925i | 0.998078 | + | 0.0619625i | \(0.0197359\pi\) | ||||
−0.998078 | + | 0.0619625i | \(0.980264\pi\) | |||||||
\(200\) | −7.93553 | + | 11.7059i | −0.561126 | + | 0.827730i | ||||
\(201\) | −19.5230 | + | 3.14133i | −1.37704 | + | 0.221572i | ||||
\(202\) | 11.1353 | + | 1.76691i | 0.783474 | + | 0.124319i | ||||
\(203\) | 3.26012 | + | 12.1670i | 0.228816 | + | 0.853953i | ||||
\(204\) | 8.72974 | − | 10.8220i | 0.611204 | − | 0.757692i | ||||
\(205\) | −1.04380 | − | 5.14993i | −0.0729024 | − | 0.359687i | ||||
\(206\) | −12.2296 | − | 5.44914i | −0.852075 | − | 0.379660i | ||||
\(207\) | −8.24107 | + | 0.472519i | −0.572794 | + | 0.0328423i | ||||
\(208\) | −10.9656 | + | 8.85902i | −0.760325 | + | 0.614263i | ||||
\(209\) | 7.12857 | + | 12.3471i | 0.493094 | + | 0.854064i | ||||
\(210\) | 16.6126 | + | 5.53203i | 1.14638 | + | 0.381746i | ||||
\(211\) | 15.0577 | + | 8.69355i | 1.03661 | + | 0.598489i | 0.918872 | − | 0.394555i | \(-0.129101\pi\) |
0.117741 | + | 0.993044i | \(0.462435\pi\) | |||||||
\(212\) | 14.2308 | + | 9.25316i | 0.977377 | + | 0.635509i | ||||
\(213\) | 19.7981 | + | 2.03169i | 1.35655 | + | 0.139209i | ||||
\(214\) | 20.3918 | − | 2.13738i | 1.39396 | − | 0.146109i | ||||
\(215\) | −25.9354 | + | 12.9070i | −1.76878 | + | 0.880249i | ||||
\(216\) | 10.3244 | − | 10.4598i | 0.702485 | − | 0.711699i | ||||
\(217\) | −7.61619 | − | 7.61619i | −0.517020 | − | 0.517020i | ||||
\(218\) | 5.55858 | − | 6.86026i | 0.376474 | − | 0.464636i | ||||
\(219\) | 8.60342 | + | 10.5711i | 0.581365 | + | 0.714330i | ||||
\(220\) | −25.5108 | − | 2.94045i | −1.71994 | − | 0.198245i | ||||
\(221\) | 7.07277 | − | 12.2504i | 0.475766 | − | 0.824051i | ||||
\(222\) | −3.45777 | + | 0.00750960i | −0.232071 | + | 0.000504011i | ||||
\(223\) | −10.9609 | − | 2.93696i | −0.733995 | − | 0.196673i | −0.127588 | − | 0.991827i | \(-0.540723\pi\) |
−0.606408 | + | 0.795154i | \(0.707390\pi\) | |||||||
\(224\) | −15.6480 | − | 9.06418i | −1.04553 | − | 0.605626i | ||||
\(225\) | 4.83475 | − | 14.1995i | 0.322317 | − | 0.946632i | ||||
\(226\) | 2.11179 | − | 4.73951i | 0.140474 | − | 0.315268i | ||||
\(227\) | −3.14188 | + | 11.7257i | −0.208534 | + | 0.778259i | 0.779809 | + | 0.626017i | \(0.215316\pi\) |
−0.988343 | + | 0.152242i | \(0.951351\pi\) | |||||||
\(228\) | 8.55214 | − | 0.915180i | 0.566380 | − | 0.0606093i | ||||
\(229\) | −10.8668 | + | 18.8218i | −0.718098 | + | 1.24378i | 0.243655 | + | 0.969862i | \(0.421654\pi\) |
−0.961753 | + | 0.273920i | \(0.911680\pi\) | |||||||
\(230\) | 8.30108 | − | 2.60797i | 0.547357 | − | 0.171965i | ||||
\(231\) | 5.05086 | + | 31.3905i | 0.332322 | + | 2.06534i | ||||
\(232\) | −11.1300 | + | 0.573741i | −0.730720 | + | 0.0376680i | ||||
\(233\) | −17.2236 | − | 17.2236i | −1.12836 | − | 1.12836i | −0.990445 | − | 0.137912i | \(-0.955961\pi\) |
−0.137912 | − | 0.990445i | \(-0.544039\pi\) | |||||||
\(234\) | 8.73256 | − | 12.1371i | 0.570865 | − | 0.793426i | ||||
\(235\) | −9.87586 | − | 19.8446i | −0.644230 | − | 1.29452i | ||||
\(236\) | 0.741544 | − | 2.27781i | 0.0482704 | − | 0.148273i | ||||
\(237\) | −1.41254 | − | 3.15175i | −0.0917543 | − | 0.204728i | ||||
\(238\) | 17.9217 | + | 2.84376i | 1.16169 | + | 0.184334i | ||||
\(239\) | −5.32298 | + | 9.21967i | −0.344315 | + | 0.596371i | −0.985229 | − | 0.171242i | \(-0.945222\pi\) |
0.640914 | + | 0.767613i | \(0.278555\pi\) | |||||||
\(240\) | −7.85505 | + | 13.3528i | −0.507041 | + | 0.861922i | ||||
\(241\) | 3.79672 | + | 6.57612i | 0.244568 | + | 0.423605i | 0.962010 | − | 0.273013i | \(-0.0880204\pi\) |
−0.717442 | + | 0.696619i | \(0.754687\pi\) | |||||||
\(242\) | −11.1276 | − | 29.0130i | −0.715307 | − | 1.86503i | ||||
\(243\) | −7.62778 | + | 13.5947i | −0.489322 | + | 0.872103i | ||||
\(244\) | 4.90412 | + | 5.45283i | 0.313954 | + | 0.349082i | ||||
\(245\) | 1.42998 | + | 7.05523i | 0.0913578 | + | 0.450742i | ||||
\(246\) | −1.50188 | − | 5.55679i | −0.0957564 | − | 0.354288i | ||||
\(247\) | 8.45216 | − | 2.26475i | 0.537798 | − | 0.144103i | ||||
\(248\) | 7.99684 | − | 5.18348i | 0.507800 | − | 0.329151i | ||||
\(249\) | 4.63133 | − | 12.1542i | 0.293498 | − | 0.770241i | ||||
\(250\) | −1.27998 | + | 15.7595i | −0.0809530 | + | 0.996718i | ||||
\(251\) | 17.4055 | 1.09863 | 0.549314 | − | 0.835616i | \(-0.314889\pi\) | ||||
0.549314 | + | 0.835616i | \(0.314889\pi\) | |||||||
\(252\) | 18.5485 | + | 4.88379i | 1.16844 | + | 0.307650i | ||||
\(253\) | 11.1721 | + | 11.1721i | 0.702385 | + | 0.702385i | ||||
\(254\) | −10.6010 | + | 1.11115i | −0.665164 | + | 0.0697196i | ||||
\(255\) | 2.53936 | − | 15.3365i | 0.159021 | − | 0.960406i | ||||
\(256\) | 10.7332 | − | 11.8658i | 0.670826 | − | 0.741615i | ||||
\(257\) | 3.61824 | + | 13.5034i | 0.225699 | + | 0.842322i | 0.982123 | + | 0.188240i | \(0.0602782\pi\) |
−0.756424 | + | 0.654082i | \(0.773055\pi\) | |||||||
\(258\) | −27.4484 | + | 15.9269i | −1.70886 | + | 0.991566i | ||||
\(259\) | −2.25633 | − | 3.90809i | −0.140202 | − | 0.242837i | ||||
\(260\) | −5.79561 | + | 14.6567i | −0.359428 | + | 0.908969i | ||||
\(261\) | 11.2242 | − | 3.70804i | 0.694759 | − | 0.229522i | ||||
\(262\) | −6.21679 | − | 16.2091i | −0.384074 | − | 1.00140i | ||||
\(263\) | 2.21576 | − | 8.26934i | 0.136630 | − | 0.509910i | −0.863356 | − | 0.504595i | \(-0.831642\pi\) |
0.999986 | − | 0.00531434i | \(-0.00169162\pi\) | |||||||
\(264\) | −28.0945 | − | 1.42728i | −1.72910 | − | 0.0878427i | ||||
\(265\) | 18.9419 | + | 1.17259i | 1.16359 | + | 0.0720313i | ||||
\(266\) | 6.59525 | + | 9.08304i | 0.404381 | + | 0.556917i | ||||
\(267\) | 0.828460 | − | 8.07305i | 0.0507010 | − | 0.494063i | ||||
\(268\) | 20.3504 | − | 10.3544i | 1.24310 | − | 0.632496i | ||||
\(269\) | 25.0897i | 1.52975i | 0.644180 | + | 0.764874i | \(0.277199\pi\) | ||||
−0.644180 | + | 0.764874i | \(0.722801\pi\) | |||||||
\(270\) | 4.29058 | − | 15.8616i | 0.261116 | − | 0.965307i | ||||
\(271\) | −27.9685 | −1.69897 | −0.849483 | − | 0.527617i | \(-0.823086\pi\) | ||||
−0.849483 | + | 0.527617i | \(0.823086\pi\) | |||||||
\(272\) | −5.77074 | + | 14.9821i | −0.349902 | + | 0.908425i | ||||
\(273\) | 19.4117 | + | 1.99204i | 1.17485 | + | 0.120564i | ||||
\(274\) | 9.81999 | − | 7.13036i | 0.593247 | − | 0.430761i | ||||
\(275\) | −26.4450 | + | 11.1792i | −1.59469 | + | 0.674128i | ||||
\(276\) | 8.89205 | − | 3.43260i | 0.535239 | − | 0.206618i | ||||
\(277\) | −26.7639 | − | 7.17137i | −1.60809 | − | 0.430886i | −0.660616 | − | 0.750724i | \(-0.729705\pi\) |
−0.947472 | + | 0.319838i | \(0.896371\pi\) | |||||||
\(278\) | 0.411308 | + | 1.07241i | 0.0246686 | + | 0.0643188i | ||||
\(279\) | −6.72653 | + | 7.54480i | −0.402707 | + | 0.451696i | ||||
\(280\) | −20.2171 | − | 0.208685i | −1.20820 | − | 0.0124713i | ||||
\(281\) | −0.328882 | + | 0.189880i | −0.0196195 | + | 0.0113273i | −0.509778 | − | 0.860306i | \(-0.670272\pi\) |
0.490158 | + | 0.871633i | \(0.336939\pi\) | |||||||
\(282\) | −12.1866 | − | 21.0023i | −0.725700 | − | 1.25067i | ||||
\(283\) | −0.0835686 | + | 0.0223921i | −0.00496764 | + | 0.00133107i | −0.261302 | − | 0.965257i | \(-0.584152\pi\) |
0.256334 | + | 0.966588i | \(0.417485\pi\) | |||||||
\(284\) | −22.4815 | + | 4.76518i | −1.33403 | + | 0.282762i | ||||
\(285\) | 7.81907 | − | 5.59759i | 0.463162 | − | 0.331573i | ||||
\(286\) | −28.4633 | + | 2.98340i | −1.68307 | + | 0.176412i | ||||
\(287\) | 5.31197 | − | 5.31197i | 0.313556 | − | 0.313556i | ||||
\(288\) | −7.65170 | + | 15.1477i | −0.450881 | + | 0.892584i | ||||
\(289\) | 0.889647i | 0.0523322i | ||||||||
\(290\) | −10.5157 | + | 6.68411i | −0.617504 | + | 0.392505i | ||||
\(291\) | −0.101109 | − | 0.0385274i | −0.00592713 | − | 0.00225852i | ||||
\(292\) | −13.1942 | − | 8.57915i | −0.772135 | − | 0.502057i | ||||
\(293\) | −5.75970 | − | 21.4955i | −0.336485 | − | 1.25578i | −0.902250 | − | 0.431214i | \(-0.858086\pi\) |
0.565765 | − | 0.824567i | \(-0.308581\pi\) | |||||||
\(294\) | 2.05752 | + | 7.61262i | 0.119997 | + | 0.443977i | ||||
\(295\) | −0.532013 | − | 2.62485i | −0.0309750 | − | 0.152825i | ||||
\(296\) | 3.79834 | − | 1.23056i | 0.220774 | − | 0.0715249i | ||||
\(297\) | 29.1386 | − | 6.41847i | 1.69080 | − | 0.372438i | ||||
\(298\) | −8.24994 | + | 3.16415i | −0.477906 | + | 0.183294i | ||||
\(299\) | 8.39794 | − | 4.84855i | 0.485665 | − | 0.280399i | ||||
\(300\) | −0.295207 | + | 17.3180i | −0.0170438 | + | 0.999855i | ||||
\(301\) | −35.8673 | − | 20.7080i | −2.06736 | − | 1.19359i | ||||
\(302\) | −0.488967 | − | 0.0775878i | −0.0281369 | − | 0.00446468i | ||||
\(303\) | 12.6008 | − | 5.64739i | 0.723899 | − | 0.324434i | ||||
\(304\) | −9.07753 | + | 4.02916i | −0.520632 | + | 0.231088i | ||||
\(305\) | 7.77373 | + | 2.60744i | 0.445123 | + | 0.149302i | ||||
\(306\) | 1.70160 | − | 16.9438i | 0.0972739 | − | 0.968610i | ||||
\(307\) | −0.936778 | + | 0.936778i | −0.0534648 | + | 0.0534648i | −0.733334 | − | 0.679869i | \(-0.762037\pi\) |
0.679869 | + | 0.733334i | \(0.262037\pi\) | |||||||
\(308\) | −16.6486 | − | 32.7208i | −0.948641 | − | 1.86444i | ||||
\(309\) | −16.1894 | + | 2.60495i | −0.920985 | + | 0.148190i | ||||
\(310\) | 4.92947 | − | 9.44578i | 0.279975 | − | 0.536484i | ||||
\(311\) | −6.10346 | − | 3.52383i | −0.346095 | − | 0.199818i | 0.316869 | − | 0.948469i | \(-0.397369\pi\) |
−0.662964 | + | 0.748651i | \(0.730702\pi\) | |||||||
\(312\) | −5.30896 | + | 16.4287i | −0.300561 | + | 0.930095i | ||||
\(313\) | 9.28183 | + | 2.48706i | 0.524640 | + | 0.140577i | 0.511412 | − | 0.859336i | \(-0.329123\pi\) |
0.0132281 | + | 0.999913i | \(0.495789\pi\) | |||||||
\(314\) | 19.1029 | + | 8.51170i | 1.07804 | + | 0.480343i | ||||
\(315\) | 20.7389 | − | 5.45595i | 1.16851 | − | 0.307408i | ||||
\(316\) | 2.66688 | + | 2.96527i | 0.150024 | + | 0.166809i | ||||
\(317\) | 1.39029 | − | 5.18863i | 0.0780865 | − | 0.291423i | −0.915829 | − | 0.401569i | \(-0.868465\pi\) |
0.993915 | + | 0.110146i | \(0.0351318\pi\) | |||||||
\(318\) | 20.7895 | − | 0.0451507i | 1.16582 | − | 0.00253193i | ||||
\(319\) | −19.5944 | − | 11.3129i | −1.09708 | − | 0.633398i | ||||
\(320\) | 3.91459 | − | 17.4550i | 0.218832 | − | 0.975762i | ||||
\(321\) | 19.4765 | − | 15.8512i | 1.08707 | − | 0.884726i | ||||
\(322\) | 9.66504 | + | 7.83117i | 0.538612 | + | 0.436414i | ||||
\(323\) | 7.04684 | − | 7.04684i | 0.392097 | − | 0.392097i | ||||
\(324\) | 3.57925 | − | 17.6405i | 0.198847 | − | 0.980031i | ||||
\(325\) | 2.42662 | + | 17.4534i | 0.134605 | + | 0.968140i | ||||
\(326\) | −27.1049 | + | 2.84102i | −1.50120 | + | 0.157349i | ||||
\(327\) | 1.10394 | − | 10.7575i | 0.0610477 | − | 0.594889i | ||||
\(328\) | 3.61526 | + | 5.57746i | 0.199619 | + | 0.307964i | ||||
\(329\) | 15.8449 | − | 27.4441i | 0.873555 | − | 1.51304i | ||||
\(330\) | −28.1266 | + | 14.0737i | −1.54832 | + | 0.774734i | ||||
\(331\) | −2.28002 | + | 1.31637i | −0.125321 | + | 0.0723542i | −0.561350 | − | 0.827578i | \(-0.689718\pi\) |
0.436029 | + | 0.899933i | \(0.356385\pi\) | |||||||
\(332\) | −0.794587 | + | 14.9978i | −0.0436086 | + | 0.823110i | ||||
\(333\) | −3.54031 | + | 2.32392i | −0.194008 | + | 0.127350i | ||||
\(334\) | −14.5555 | − | 6.48551i | −0.796442 | − | 0.354871i | ||||
\(335\) | 14.1057 | − | 21.2772i | 0.770676 | − | 1.16250i | ||||
\(336\) | −22.1160 | + | 1.18822i | −1.20653 | + | 0.0648229i | ||||
\(337\) | 29.2685 | − | 7.84248i | 1.59436 | − | 0.427207i | 0.651026 | − | 0.759056i | \(-0.274339\pi\) |
0.943333 | + | 0.331848i | \(0.107672\pi\) | |||||||
\(338\) | 0.128465 | − | 0.809598i | 0.00698756 | − | 0.0440363i | ||||
\(339\) | −1.00954 | − | 6.27413i | −0.0548304 | − | 0.340764i | ||||
\(340\) | 2.62994 | + | 17.7564i | 0.142629 | + | 0.962977i | ||||
\(341\) | 19.3471 | 1.04771 | ||||||||
\(342\) | 8.15568 | − | 6.66708i | 0.441009 | − | 0.360515i | ||||
\(343\) | 8.54600 | − | 8.54600i | 0.461441 | − | 0.461441i | ||||
\(344\) | 24.5429 | − | 27.2107i | 1.32326 | − | 1.46710i | ||||
\(345\) | 6.76432 | − | 8.23457i | 0.364179 | − | 0.443334i | ||||
\(346\) | 4.42507 | − | 3.21307i | 0.237893 | − | 0.172736i | ||||
\(347\) | 14.0405 | − | 3.76213i | 0.753732 | − | 0.201962i | 0.138559 | − | 0.990354i | \(-0.455753\pi\) |
0.615173 | + | 0.788392i | \(0.289086\pi\) | |||||||
\(348\) | −11.0275 | + | 8.04380i | −0.591138 | + | 0.431193i | ||||
\(349\) | 3.15909 | + | 5.47171i | 0.169102 | + | 0.292894i | 0.938105 | − | 0.346352i | \(-0.112580\pi\) |
−0.769002 | + | 0.639246i | \(0.779246\pi\) | |||||||
\(350\) | −19.7897 | + | 10.9240i | −1.05780 | + | 0.583915i | ||||
\(351\) | 0.823570 | − | 18.2940i | 0.0439589 | − | 0.976463i | ||||
\(352\) | 31.3877 | − | 8.36232i | 1.67297 | − | 0.445713i | ||||
\(353\) | −7.32305 | + | 27.3300i | −0.389766 | + | 1.45463i | 0.440748 | + | 0.897631i | \(0.354713\pi\) |
−0.830514 | + | 0.556997i | \(0.811953\pi\) | |||||||
\(354\) | −0.765489 | − | 2.83223i | −0.0406853 | − | 0.150531i | ||||
\(355\) | −19.2559 | + | 17.0108i | −1.02200 | + | 0.902841i | ||||
\(356\) | 1.94309 | + | 9.16725i | 0.102984 | + | 0.485863i | ||||
\(357\) | 20.2805 | − | 9.08923i | 1.07336 | − | 0.481053i | ||||
\(358\) | 0.923862 | + | 0.748565i | 0.0488276 | + | 0.0395629i | ||||
\(359\) | 14.5359 | 0.767176 | 0.383588 | − | 0.923504i | \(-0.374688\pi\) | ||||
0.383588 | + | 0.923504i | \(0.374688\pi\) | |||||||
\(360\) | 0.890535 | + | 18.9528i | 0.0469353 | + | 0.998898i | ||||
\(361\) | −12.8353 | −0.675541 | ||||||||
\(362\) | −1.90333 | − | 1.54219i | −0.100037 | − | 0.0810556i | ||||
\(363\) | −30.8440 | − | 22.2939i | −1.61889 | − | 1.17013i | ||||
\(364\) | −22.0428 | + | 4.67218i | −1.15535 | + | 0.244889i | ||||
\(365\) | −17.5622 | − | 1.08717i | −0.919247 | − | 0.0569053i | ||||
\(366\) | 8.68094 | + | 2.30585i | 0.453760 | + | 0.120529i | ||||
\(367\) | −8.44645 | + | 31.5226i | −0.440901 | + | 1.64547i | 0.285636 | + | 0.958338i | \(0.407795\pi\) |
−0.726537 | + | 0.687127i | \(0.758871\pi\) | |||||||
\(368\) | −8.56128 | + | 6.91662i | −0.446288 | + | 0.360554i | ||||
\(369\) | −5.26218 | − | 4.69147i | −0.273938 | − | 0.244228i | ||||
\(370\) | 3.01919 | − | 3.28810i | 0.156960 | − | 0.170940i | ||||
\(371\) | 13.5660 | + | 23.4970i | 0.704311 | + | 1.21990i | ||||
\(372\) | 4.72716 | − | 10.6715i | 0.245092 | − | 0.553291i | ||||
\(373\) | 25.0339 | − | 6.70781i | 1.29620 | − | 0.347317i | 0.456191 | − | 0.889882i | \(-0.349213\pi\) |
0.840014 | + | 0.542565i | \(0.182547\pi\) | |||||||
\(374\) | −26.3749 | + | 19.1510i | −1.36381 | + | 0.990274i | ||||
\(375\) | 9.24424 | + | 17.0160i | 0.477370 | + | 0.878702i | ||||
\(376\) | 20.8204 | + | 18.7791i | 1.07373 | + | 0.968459i | ||||
\(377\) | −9.81926 | + | 9.81926i | −0.505717 | + | 0.505717i | ||||
\(378\) | 22.2896 | − | 7.41737i | 1.14645 | − | 0.381508i | ||||
\(379\) | 5.55850 | 0.285521 | 0.142760 | − | 0.989757i | \(-0.454402\pi\) | ||||
0.142760 | + | 0.989757i | \(0.454402\pi\) | |||||||
\(380\) | −6.61648 | + | 8.91721i | −0.339418 | + | 0.457443i | ||||
\(381\) | −10.1251 | + | 8.24044i | −0.518726 | + | 0.422171i | ||||
\(382\) | −0.186031 | + | 1.17239i | −0.00951818 | + | 0.0599846i | ||||
\(383\) | −15.8091 | + | 4.23602i | −0.807805 | + | 0.216451i | −0.639008 | − | 0.769200i | \(-0.720655\pi\) |
−0.168797 | + | 0.985651i | \(0.553988\pi\) | |||||||
\(384\) | 3.05659 | − | 19.3561i | 0.155981 | − | 0.987760i | ||||
\(385\) | −34.2111 | − | 22.6802i | −1.74356 | − | 1.15589i | ||||
\(386\) | −3.32044 | − | 1.47949i | −0.169006 | − | 0.0753042i | ||||
\(387\) | −17.4747 | + | 34.7168i | −0.888289 | + | 1.76475i | ||||
\(388\) | 0.124765 | + | 0.00661007i | 0.00633397 | + | 0.000335575i | ||||
\(389\) | 20.7331 | − | 11.9703i | 1.05121 | − | 0.606916i | 0.128222 | − | 0.991746i | \(-0.459073\pi\) |
0.922988 | + | 0.384830i | \(0.125740\pi\) | |||||||
\(390\) | 3.87553 | + | 18.9101i | 0.196245 | + | 0.957549i | ||||
\(391\) | 5.52201 | − | 9.56441i | 0.279260 | − | 0.483693i | ||||
\(392\) | −4.95278 | − | 7.64093i | −0.250153 | − | 0.385925i | ||||
\(393\) | −17.2320 | − | 12.4552i | −0.869241 | − | 0.628283i | ||||
\(394\) | 38.7192 | − | 4.05837i | 1.95064 | − | 0.204458i | ||||
\(395\) | 4.22738 | + | 1.41794i | 0.212703 | + | 0.0713441i | ||||
\(396\) | −29.7621 | + | 17.3559i | −1.49560 | + | 0.872169i | ||||
\(397\) | 1.58413 | − | 1.58413i | 0.0795050 | − | 0.0795050i | −0.666236 | − | 0.745741i | \(-0.732096\pi\) |
0.745741 | + | 0.666236i | \(0.232096\pi\) | |||||||
\(398\) | −1.92089 | − | 1.55641i | −0.0962855 | − | 0.0780160i | ||||
\(399\) | 12.8466 | + | 4.89517i | 0.643136 | + | 0.245065i | ||||
\(400\) | −5.79731 | − | 19.1413i | −0.289866 | − | 0.957067i | ||||
\(401\) | −28.7315 | − | 16.5882i | −1.43478 | − | 0.828373i | −0.437304 | − | 0.899314i | \(-0.644067\pi\) |
−0.997481 | + | 0.0709403i | \(0.977400\pi\) | |||||||
\(402\) | 13.9297 | − | 24.2485i | 0.694753 | − | 1.20941i | ||||
\(403\) | 3.07330 | − | 11.4697i | 0.153092 | − | 0.571346i | ||||
\(404\) | −11.8553 | + | 10.6623i | −0.589822 | + | 0.530469i | ||||
\(405\) | −6.22581 | − | 19.1374i | −0.309363 | − | 0.950944i | ||||
\(406\) | −16.2715 | − | 7.25011i | −0.807542 | − | 0.359817i | ||||
\(407\) | 7.82963 | + | 2.09794i | 0.388101 | + | 0.103991i | ||||
\(408\) | 4.11903 | + | 19.2271i | 0.203922 | + | 0.951884i | ||||
\(409\) | −4.89606 | − | 2.82674i | −0.242095 | − | 0.139774i | 0.374044 | − | 0.927411i | \(-0.377971\pi\) |
−0.616139 | + | 0.787637i | \(0.711304\pi\) | |||||||
\(410\) | 6.58803 | + | 3.43809i | 0.325360 | + | 0.169795i | ||||
\(411\) | 5.29234 | − | 13.8889i | 0.261052 | − | 0.685090i | ||||
\(412\) | 16.8756 | − | 8.58641i | 0.831400 | − | 0.423022i | ||||
\(413\) | 2.70744 | − | 2.70744i | 0.133224 | − | 0.133224i | ||||
\(414\) | 6.81788 | − | 9.47594i | 0.335081 | − | 0.465717i | ||||
\(415\) | 7.48125 | + | 15.0329i | 0.367240 | + | 0.737934i | ||||
\(416\) | 0.0284546 | − | 19.9362i | 0.00139510 | − | 0.977451i | ||||
\(417\) | 1.14009 | + | 0.824048i | 0.0558302 | + | 0.0403538i | ||||
\(418\) | −19.9135 | − | 3.15982i | −0.974002 | − | 0.154552i | ||||
\(419\) | 11.7668 | + | 6.79354i | 0.574843 | + | 0.331886i | 0.759081 | − | 0.650996i | \(-0.225648\pi\) |
−0.184238 | + | 0.982882i | \(0.558982\pi\) | |||||||
\(420\) | −20.8689 | + | 13.3286i | −1.01830 | + | 0.650370i | ||||
\(421\) | −11.1286 | + | 6.42511i | −0.542376 | + | 0.313141i | −0.746041 | − | 0.665900i | \(-0.768048\pi\) |
0.203665 | + | 0.979041i | \(0.434715\pi\) | |||||||
\(422\) | −22.9584 | + | 8.80538i | −1.11760 | + | 0.428639i | ||||
\(423\) | −26.5638 | − | 13.3709i | −1.29157 | − | 0.650115i | ||||
\(424\) | −22.8371 | + | 7.39862i | −1.10907 | + | 0.359309i | ||||
\(425\) | 12.3322 | + | 15.8327i | 0.598201 | + | 0.767999i | ||||
\(426\) | −19.8588 | + | 19.9453i | −0.962164 | + | 0.966353i | ||||
\(427\) | 3.03391 | + | 11.3227i | 0.146821 | + | 0.547945i | ||||
\(428\) | −15.8065 | + | 24.3094i | −0.764034 | + | 1.17504i | ||||
\(429\) | −27.1857 | + | 22.1253i | −1.31254 | + | 1.06822i | ||||
\(430\) | 8.90830 | − | 39.9889i | 0.429596 | − | 1.92843i | ||||
\(431\) | 35.5766i | 1.71367i | 0.515594 | + | 0.856833i | \(0.327571\pi\) | ||||
−0.515594 | + | 0.856833i | \(0.672429\pi\) | |||||||
\(432\) | 2.30132 | + | 20.6568i | 0.110722 | + | 0.993851i | ||||
\(433\) | 12.3211 | − | 12.3211i | 0.592117 | − | 0.592117i | −0.346086 | − | 0.938203i | \(-0.612489\pi\) |
0.938203 | + | 0.346086i | \(0.112489\pi\) | |||||||
\(434\) | 15.1494 | − | 1.58789i | 0.727194 | − | 0.0762213i | ||||
\(435\) | −6.30460 | + | 13.8974i | −0.302282 | + | 0.666330i | ||||
\(436\) | 2.58919 | + | 12.2155i | 0.124000 | + | 0.585016i | ||||
\(437\) | 6.59896 | − | 1.76819i | 0.315671 | − | 0.0845838i | ||||
\(438\) | −19.2752 | + | 0.0418619i | −0.921004 | + | 0.00200024i | ||||
\(439\) | 7.70515 | − | 4.44857i | 0.367747 | − | 0.212319i | −0.304727 | − | 0.952440i | \(-0.598565\pi\) |
0.672474 | + | 0.740121i | \(0.265232\pi\) | |||||||
\(440\) | 25.9434 | − | 25.4133i | 1.23680 | − | 1.21153i | ||||
\(441\) | 7.20901 | + | 6.42715i | 0.343286 | + | 0.306055i | ||||
\(442\) | 7.16376 | + | 18.6782i | 0.340745 | + | 0.888429i | ||||
\(443\) | −21.8144 | − | 5.84515i | −1.03643 | − | 0.277712i | −0.299799 | − | 0.954002i | \(-0.596920\pi\) |
−0.736635 | + | 0.676291i | \(0.763586\pi\) | |||||||
\(444\) | 3.07023 | − | 3.80607i | 0.145707 | − | 0.180628i | ||||
\(445\) | 6.93647 | + | 7.85194i | 0.328820 | + | 0.372217i | ||||
\(446\) | 12.9857 | − | 9.42899i | 0.614890 | − | 0.446475i | ||||
\(447\) | −6.33933 | + | 8.77057i | −0.299840 | + | 0.414834i | ||||
\(448\) | 23.8912 | − | 9.12406i | 1.12875 | − | 0.431071i | ||||
\(449\) | 31.0106 | 1.46348 | 0.731740 | − | 0.681584i | \(-0.238708\pi\) | ||||
0.731740 | + | 0.681584i | \(0.238708\pi\) | |||||||
\(450\) | 11.2979 | + | 17.9543i | 0.532589 | + | 0.846374i | ||||
\(451\) | 13.4938i | 0.635399i | ||||||||
\(452\) | 3.32762 | + | 6.54005i | 0.156518 | + | 0.307618i | ||||
\(453\) | −0.553322 | + | 0.247986i | −0.0259973 | + | 0.0116514i | ||||
\(454\) | −10.0869 | − | 13.8917i | −0.473400 | − | 0.651971i | ||||
\(455\) | −18.8801 | + | 16.6788i | −0.885111 | + | 0.781915i | ||||
\(456\) | −6.60844 | + | 10.2119i | −0.309468 | + | 0.478214i | ||||
\(457\) | −5.11886 | + | 19.1038i | −0.239450 | + | 0.893640i | 0.736642 | + | 0.676283i | \(0.236410\pi\) |
−0.976092 | + | 0.217357i | \(0.930256\pi\) | |||||||
\(458\) | −11.0066 | − | 28.6976i | −0.514304 | − | 1.34095i | ||||
\(459\) | −9.60523 | − | 18.5127i | −0.448334 | − | 0.864098i | ||||
\(460\) | −4.52488 | + | 11.4431i | −0.210973 | + | 0.533537i | ||||
\(461\) | 3.67020 | + | 6.35697i | 0.170938 | + | 0.296074i | 0.938748 | − | 0.344604i | \(-0.111987\pi\) |
−0.767810 | + | 0.640678i | \(0.778653\pi\) | |||||||
\(462\) | −38.9885 | − | 22.3973i | −1.81391 | − | 1.04202i | ||||
\(463\) | −4.07960 | − | 15.2253i | −0.189595 | − | 0.707578i | −0.993600 | − | 0.112955i | \(-0.963968\pi\) |
0.804005 | − | 0.594622i | \(-0.202698\pi\) | |||||||
\(464\) | 9.27869 | − | 12.7404i | 0.430752 | − | 0.591459i | ||||
\(465\) | −1.27304 | − | 12.9870i | −0.0590357 | − | 0.602259i | ||||
\(466\) | 34.2595 | − | 3.59094i | 1.58704 | − | 0.166347i | ||||
\(467\) | 3.68334 | + | 3.68334i | 0.170445 | + | 0.170445i | 0.787175 | − | 0.616730i | \(-0.211543\pi\) |
−0.616730 | + | 0.787175i | \(0.711543\pi\) | |||||||
\(468\) | 5.56153 | + | 20.4010i | 0.257082 | + | 0.943039i | ||||
\(469\) | 36.4962 | 1.68524 | ||||||||
\(470\) | 30.5977 | + | 6.81624i | 1.41137 | + | 0.314410i | ||||
\(471\) | 25.2883 | − | 4.06900i | 1.16522 | − | 0.187490i | ||||
\(472\) | 1.84265 | + | 2.84276i | 0.0848149 | + | 0.130849i | ||||
\(473\) | 71.8582 | − | 19.2543i | 3.30404 | − | 0.885315i | ||||
\(474\) | 4.72072 | + | 1.25393i | 0.216830 | + | 0.0575950i | ||||
\(475\) | −1.53114 | + | 12.3196i | −0.0702537 | + | 0.565264i | ||||
\(476\) | −19.0805 | + | 17.1605i | −0.874555 | + | 0.786550i | ||||
\(477\) | 21.2857 | − | 13.9723i | 0.974607 | − | 0.639749i | ||||
\(478\) | −5.39145 | − | 14.0572i | −0.246599 | − | 0.642962i | ||||
\(479\) | −6.67476 | − | 11.5610i | −0.304977 | − | 0.528236i | 0.672279 | − | 0.740298i | \(-0.265316\pi\) |
−0.977256 | + | 0.212062i | \(0.931982\pi\) | |||||||
\(480\) | −7.67863 | − | 20.5192i | −0.350480 | − | 0.936570i | ||||
\(481\) | 2.48748 | − | 4.30844i | 0.113419 | − | 0.196448i | ||||
\(482\) | −10.6061 | − | 1.68294i | −0.483093 | − | 0.0766558i | ||||
\(483\) | 15.1556 | + | 1.55527i | 0.689603 | + | 0.0707673i | ||||
\(484\) | 41.7864 | + | 13.6036i | 1.89938 | + | 0.618345i | ||||
\(485\) | 0.125057 | − | 0.0622356i | 0.00567852 | − | 0.00282597i | ||||
\(486\) | −8.14678 | − | 20.4849i | −0.369546 | − | 0.929213i | ||||
\(487\) | −6.04739 | − | 6.04739i | −0.274033 | − | 0.274033i | 0.556688 | − | 0.830722i | \(-0.312072\pi\) |
−0.830722 | + | 0.556688i | \(0.812072\pi\) | |||||||
\(488\) | −10.3577 | + | 0.533931i | −0.468872 | + | 0.0241699i | ||||
\(489\) | −25.8882 | + | 21.0694i | −1.17071 | + | 0.952792i | ||||
\(490\) | −9.02538 | − | 4.71007i | −0.407725 | − | 0.212779i | ||||
\(491\) | 7.49417 | − | 12.9803i | 0.338207 | − | 0.585792i | −0.645888 | − | 0.763432i | \(-0.723513\pi\) |
0.984096 | + | 0.177640i | \(0.0568462\pi\) | |||||||
\(492\) | 7.44292 | + | 3.29699i | 0.335553 | + | 0.148640i | ||||
\(493\) | −4.09331 | + | 15.2765i | −0.184354 | + | 0.688017i | ||||
\(494\) | −5.03652 | + | 11.3035i | −0.226604 | + | 0.508570i | ||||
\(495\) | −19.4114 | + | 33.2710i | −0.872479 | + | 1.49542i | ||||
\(496\) | −1.42406 | + | 13.4018i | −0.0639421 | + | 0.601758i | ||||
\(497\) | −35.4809 | − | 9.50707i | −1.59153 | − | 0.426450i | ||||
\(498\) | 9.23169 | + | 15.9099i | 0.413682 | + | 0.712938i | ||||
\(499\) | 10.6152 | − | 18.3861i | 0.475202 | − | 0.823074i | −0.524395 | − | 0.851475i | \(-0.675708\pi\) |
0.999597 | + | 0.0284014i | \(0.00904167\pi\) | |||||||
\(500\) | −16.1769 | − | 15.4372i | −0.723453 | − | 0.690374i | ||||
\(501\) | −19.2685 | + | 3.10038i | −0.860852 | + | 0.138515i | ||||
\(502\) | −15.4963 | + | 19.1251i | −0.691632 | + | 0.853596i | ||||
\(503\) | 25.5226 | + | 25.5226i | 1.13799 | + | 1.13799i | 0.988809 | + | 0.149185i | \(0.0476651\pi\) |
0.149185 | + | 0.988809i | \(0.452335\pi\) | |||||||
\(504\) | −21.8801 | + | 16.0329i | −0.974618 | + | 0.714162i | ||||
\(505\) | −5.66897 | + | 16.9013i | −0.252266 | + | 0.752096i | ||||
\(506\) | −22.2225 | + | 2.32927i | −0.987911 | + | 0.103549i | ||||
\(507\) | −0.410598 | − | 0.916154i | −0.0182353 | − | 0.0406878i | ||||
\(508\) | 8.21720 | − | 12.6376i | 0.364579 | − | 0.560702i | ||||
\(509\) | −0.783871 | − | 0.452568i | −0.0347445 | − | 0.0200597i | 0.482527 | − | 0.875881i | \(-0.339719\pi\) |
−0.517272 | + | 0.855821i | \(0.673052\pi\) | |||||||
\(510\) | 14.5908 | + | 16.4444i | 0.646093 | + | 0.728170i | ||||
\(511\) | −12.5778 | − | 21.7854i | −0.556411 | − | 0.963731i | ||||
\(512\) | 3.48228 | + | 22.3579i | 0.153896 | + | 0.988087i | ||||
\(513\) | 3.89621 | − | 12.2991i | 0.172022 | − | 0.543017i | ||||
\(514\) | −18.0589 | − | 8.04651i | −0.796543 | − | 0.354916i | ||||
\(515\) | 11.6972 | − | 17.6441i | 0.515439 | − | 0.777494i | ||||
\(516\) | 6.93706 | − | 44.3400i | 0.305387 | − | 1.95196i | ||||
\(517\) | 14.7326 | + | 54.9827i | 0.647938 | + | 2.41814i | ||||
\(518\) | 6.30302 | + | 1.00015i | 0.276939 | + | 0.0439439i | ||||
\(519\) | 2.38483 | − | 6.25861i | 0.104682 | − | 0.274723i | ||||
\(520\) | −10.9448 | − | 19.4171i | −0.479963 | − | 0.851498i | ||||
\(521\) | − | 30.6904i | − | 1.34457i | −0.740293 | − | 0.672285i | \(-0.765313\pi\) | ||
0.740293 | − | 0.672285i | \(-0.234687\pi\) | |||||||
\(522\) | −5.91859 | + | 15.6344i | −0.259050 | + | 0.684298i | ||||
\(523\) | 24.8363 | + | 24.8363i | 1.08602 | + | 1.08602i | 0.995934 | + | 0.0900807i | \(0.0287125\pi\) |
0.0900807 | + | 0.995934i | \(0.471288\pi\) | |||||||
\(524\) | 23.3454 | + | 7.60010i | 1.01985 | + | 0.332012i | ||||
\(525\) | −12.9733 | + | 24.4570i | −0.566201 | + | 1.06739i | ||||
\(526\) | 7.11361 | + | 9.79693i | 0.310168 | + | 0.427166i | ||||
\(527\) | −3.50017 | − | 13.0628i | −0.152470 | − | 0.569026i | ||||
\(528\) | 26.5810 | − | 29.5994i | 1.15679 | − | 1.28815i | ||||
\(529\) | −13.3620 | + | 7.71453i | −0.580955 | + | 0.335414i | ||||
\(530\) | −18.1526 | + | 19.7694i | −0.788497 | + | 0.858726i | ||||
\(531\) | −2.68207 | − | 2.39118i | −0.116392 | − | 0.103768i | ||||
\(532\) | −15.8522 | − | 0.839855i | −0.687281 | − | 0.0364123i | ||||
\(533\) | 7.99963 | + | 2.14349i | 0.346502 | + | 0.0928450i | ||||
\(534\) | 8.13306 | + | 8.09781i | 0.351952 | + | 0.350426i | ||||
\(535\) | −2.00304 | + | 32.3570i | −0.0865989 | + | 1.39892i | ||||
\(536\) | −6.74071 | + | 31.5795i | −0.291154 | + | 1.36403i | ||||
\(537\) | 1.44869 | + | 0.148665i | 0.0625156 | + | 0.00641538i | ||||
\(538\) | −27.5685 | − | 22.3376i | −1.18856 | − | 0.963041i | ||||
\(539\) | − | 18.4861i | − | 0.796251i | ||||||
\(540\) | 13.6088 | + | 18.8362i | 0.585627 | + | 0.810580i | ||||
\(541\) | − | 29.3561i | − | 1.26212i | −0.775735 | − | 0.631059i | \(-0.782621\pi\) | ||
0.775735 | − | 0.631059i | \(-0.217379\pi\) | |||||||
\(542\) | 24.9006 | − | 30.7317i | 1.06957 | − | 1.32004i | ||||
\(543\) | −2.98458 | − | 0.306279i | −0.128081 | − | 0.0131437i | ||||
\(544\) | −11.3246 | − | 19.6796i | −0.485537 | − | 0.843754i | ||||
\(545\) | 9.24294 | + | 10.4628i | 0.395924 | + | 0.448178i | ||||
\(546\) | −19.4713 | + | 19.5560i | −0.833293 | + | 0.836921i | ||||
\(547\) | −1.60105 | − | 0.428999i | −0.0684557 | − | 0.0183427i | 0.224429 | − | 0.974491i | \(-0.427948\pi\) |
−0.292884 | + | 0.956148i | \(0.594615\pi\) | |||||||
\(548\) | −0.907996 | + | 17.1384i | −0.0387877 | + | 0.732115i | ||||
\(549\) | 10.4454 | − | 3.45075i | 0.445797 | − | 0.147274i | ||||
\(550\) | 11.2606 | − | 39.0106i | 0.480152 | − | 1.66342i | ||||
\(551\) | −8.47254 | + | 4.89163i | −0.360943 | + | 0.208390i | ||||
\(552\) | −4.14493 | + | 12.8266i | −0.176420 | + | 0.545937i | ||||
\(553\) | 1.64985 | + | 6.15734i | 0.0701589 | + | 0.261837i | ||||
\(554\) | 31.7080 | − | 23.0234i | 1.34714 | − | 0.978169i | ||||
\(555\) | 0.893086 | − | 5.39379i | 0.0379094 | − | 0.228954i | ||||
\(556\) | −1.54455 | − | 0.502829i | −0.0655034 | − | 0.0213247i | ||||
\(557\) | 8.31483 | + | 8.31483i | 0.352311 | + | 0.352311i | 0.860969 | − | 0.508658i | \(-0.169858\pi\) |
−0.508658 | + | 0.860969i | \(0.669858\pi\) | |||||||
\(558\) | −2.30153 | − | 14.1083i | −0.0974314 | − | 0.597251i | ||||
\(559\) | − | 45.6587i | − | 1.93116i | ||||||
\(560\) | 18.2287 | − | 22.0287i | 0.770304 | − | 0.930881i | ||||
\(561\) | −14.2144 | + | 37.3034i | −0.600131 | + | 1.57495i | ||||
\(562\) | 0.0841665 | − | 0.530426i | 0.00355035 | − | 0.0223747i | ||||
\(563\) | 1.62658 | + | 6.07050i | 0.0685524 | + | 0.255841i | 0.991694 | − | 0.128619i | \(-0.0410544\pi\) |
−0.923142 | + | 0.384460i | \(0.874388\pi\) | |||||||
\(564\) | 33.9270 | + | 5.30793i | 1.42859 | + | 0.223504i | ||||
\(565\) | 6.83790 | + | 4.53318i | 0.287673 | + | 0.190712i | ||||
\(566\) | 0.0497973 | − | 0.111761i | 0.00209314 | − | 0.00469766i | ||||
\(567\) | 17.8855 | − | 22.5361i | 0.751121 | − | 0.946428i | ||||
\(568\) | 14.7795 | − | 28.9451i | 0.620134 | − | 1.21451i | ||||
\(569\) | 16.1576 | + | 27.9858i | 0.677363 | + | 1.17323i | 0.975772 | + | 0.218790i | \(0.0702108\pi\) |
−0.298409 | + | 0.954438i | \(0.596456\pi\) | |||||||
\(570\) | −0.810767 | + | 13.5751i | −0.0339593 | + | 0.568600i | ||||
\(571\) | −23.5113 | − | 13.5743i | −0.983919 | − | 0.568066i | −0.0804680 | − | 0.996757i | \(-0.525641\pi\) |
−0.903451 | + | 0.428691i | \(0.858975\pi\) | |||||||
\(572\) | 22.0629 | − | 33.9315i | 0.922498 | − | 1.41875i | ||||
\(573\) | 0.594592 | + | 1.32669i | 0.0248394 | + | 0.0554234i | ||||
\(574\) | 1.10749 | + | 10.5661i | 0.0462256 | + | 0.441018i | ||||
\(575\) | 1.89456 | + | 13.6266i | 0.0790088 | + | 0.568268i | ||||
\(576\) | −9.83183 | − | 21.8937i | −0.409660 | − | 0.912238i | ||||
\(577\) | −30.4806 | − | 30.4806i | −1.26892 | − | 1.26892i | −0.946645 | − | 0.322278i | \(-0.895551\pi\) |
−0.322278 | − | 0.946645i | \(-0.604449\pi\) | |||||||
\(578\) | −0.977541 | − | 0.792059i | −0.0406603 | − | 0.0329453i | ||||
\(579\) | −4.39558 | + | 0.707268i | −0.182674 | + | 0.0293931i | ||||
\(580\) | 2.01773 | − | 17.5055i | 0.0837818 | − | 0.726878i | ||||
\(581\) | −12.0029 | + | 20.7897i | −0.497966 | + | 0.862502i | ||||
\(582\) | 0.132352 | − | 0.0767972i | 0.00548617 | − | 0.00318335i | ||||
\(583\) | −47.0749 | − | 12.6137i | −1.94964 | − | 0.522405i | ||||
\(584\) | 21.1737 | − | 6.85970i | 0.876173 | − | 0.283856i | ||||
\(585\) | 16.6408 | + | 16.7929i | 0.688010 | + | 0.694301i | ||||
\(586\) | 28.7471 | + | 12.8089i | 1.18753 | + | 0.529129i | ||||
\(587\) | 3.52924 | − | 13.1713i | 0.145667 | − | 0.543638i | −0.854057 | − | 0.520179i | \(-0.825865\pi\) |
0.999725 | − | 0.0234595i | \(-0.00746807\pi\) | |||||||
\(588\) | −10.1965 | − | 4.51677i | −0.420498 | − | 0.186268i | ||||
\(589\) | 4.18281 | − | 7.24483i | 0.172350 | − | 0.298518i | ||||
\(590\) | 3.35784 | + | 1.75235i | 0.138240 | + | 0.0721432i | ||||
\(591\) | 36.9811 | − | 30.0975i | 1.52120 | − | 1.23805i | ||||
\(592\) | −2.02955 | + | 5.26918i | −0.0834142 | + | 0.216562i | ||||
\(593\) | −7.23788 | − | 7.23788i | −0.297224 | − | 0.297224i | 0.542702 | − | 0.839926i | \(-0.317401\pi\) |
−0.839926 | + | 0.542702i | \(0.817401\pi\) | |||||||
\(594\) | −18.8897 | + | 37.7318i | −0.775055 | + | 1.54816i | ||||
\(595\) | −9.12396 | + | 27.2018i | −0.374046 | + | 1.11517i | ||||
\(596\) | 3.86822 | − | 11.8821i | 0.158448 | − | 0.486708i | ||||
\(597\) | −3.01211 | − | 0.309104i | −0.123278 | − | 0.0126508i | ||||
\(598\) | −2.14917 | + | 13.5443i | −0.0878863 | + | 0.553869i | ||||
\(599\) | −1.81260 | + | 3.13951i | −0.0740607 | + | 0.128277i | −0.900677 | − | 0.434488i | \(-0.856929\pi\) |
0.826617 | + | 0.562765i | \(0.190263\pi\) | |||||||
\(600\) | −18.7661 | − | 15.7427i | −0.766124 | − | 0.642693i | ||||
\(601\) | 8.24488 | + | 14.2805i | 0.336316 | + | 0.582516i | 0.983737 | − | 0.179617i | \(-0.0574858\pi\) |
−0.647421 | + | 0.762132i | \(0.724152\pi\) | |||||||
\(602\) | 54.6868 | − | 20.9744i | 2.22887 | − | 0.854852i | ||||
\(603\) | −1.96056 | − | 34.1935i | −0.0798401 | − | 1.39247i | ||||
\(604\) | 0.520584 | − | 0.468198i | 0.0211822 | − | 0.0190507i | ||||
\(605\) | 48.1528 | − | 9.75976i | 1.95769 | − | 0.396791i | ||||
\(606\) | −5.01327 | + | 18.8737i | −0.203650 | + | 0.766690i | ||||
\(607\) | 11.7986 | − | 3.16141i | 0.478888 | − | 0.128318i | −0.0112966 | − | 0.999936i | \(-0.503596\pi\) |
0.490185 | + | 0.871618i | \(0.336929\pi\) | |||||||
\(608\) | 3.65456 | − | 13.5615i | 0.148212 | − | 0.549993i | ||||
\(609\) | −21.5401 | + | 3.46590i | −0.872850 | + | 0.140445i | ||||
\(610\) | −9.78606 | + | 6.22032i | −0.396226 | + | 0.251854i | ||||
\(611\) | 34.9360 | 1.41336 | ||||||||
\(612\) | 17.1028 | + | 16.9549i | 0.691339 | + | 0.685360i | ||||
\(613\) | −29.1195 | − | 29.1195i | −1.17613 | − | 1.17613i | −0.980723 | − | 0.195405i | \(-0.937398\pi\) |
−0.195405 | − | 0.980723i | \(-0.562602\pi\) | |||||||
\(614\) | −0.195308 | − | 1.86335i | −0.00788199 | − | 0.0751986i | ||||
\(615\) | 9.05791 | − | 0.887890i | 0.365250 | − | 0.0358032i | ||||
\(616\) | 50.7759 | + | 10.8382i | 2.04582 | + | 0.436684i | ||||
\(617\) | 4.76270 | + | 17.7746i | 0.191739 | + | 0.715580i | 0.993087 | + | 0.117382i | \(0.0374500\pi\) |
−0.801348 | + | 0.598199i | \(0.795883\pi\) | |||||||
\(618\) | 11.5513 | − | 20.1081i | 0.464660 | − | 0.808867i | ||||
\(619\) | −2.33297 | − | 4.04082i | −0.0937700 | − | 0.162414i | 0.815325 | − | 0.579004i | \(-0.196558\pi\) |
−0.909095 | + | 0.416590i | \(0.863225\pi\) | |||||||
\(620\) | 5.99025 | + | 13.8261i | 0.240574 | + | 0.555271i | ||||
\(621\) | 0.642996 | − | 14.2829i | 0.0258025 | − | 0.573154i | ||||
\(622\) | 9.30593 | − | 3.56916i | 0.373134 | − | 0.143110i | ||||
\(623\) | −3.87668 | + | 14.4680i | −0.155316 | + | 0.579647i | ||||
\(624\) | −13.3252 | − | 20.4601i | −0.533436 | − | 0.819059i | ||||
\(625\) | −24.2394 | − | 6.11971i | −0.969577 | − | 0.244788i | ||||
\(626\) | −10.9965 | + | 7.98460i | −0.439507 | + | 0.319129i | ||||
\(627\) | −22.5344 | + | 10.0994i | −0.899939 | + | 0.403331i | ||||
\(628\) | −26.3601 | + | 13.4122i | −1.05188 | + | 0.535204i | ||||
\(629\) | − | 5.66597i | − | 0.225917i | ||||||
\(630\) | −12.4691 | + | 27.6453i | −0.496779 | + | 1.10142i | ||||
\(631\) | −0.389311 | −0.0154982 | −0.00774912 | − | 0.999970i | \(-0.502467\pi\) | ||||
−0.00774912 | + | 0.999970i | \(0.502467\pi\) | |||||||
\(632\) | −5.63257 | + | 0.290354i | −0.224051 | + | 0.0115496i | ||||
\(633\) | −17.6414 | + | 24.4073i | −0.701184 | + | 0.970101i | ||||
\(634\) | 4.46347 | + | 6.14712i | 0.177267 | + | 0.244133i | ||||
\(635\) | 1.04131 | − | 16.8212i | 0.0413230 | − | 0.667530i | ||||
\(636\) | −18.4594 | + | 22.8836i | −0.731964 | + | 0.907395i | ||||
\(637\) | −10.9592 | − | 2.93651i | −0.434220 | − | 0.116349i | ||||
\(638\) | 29.8756 | − | 11.4584i | 1.18279 | − | 0.453642i | ||||
\(639\) | −7.00123 | + | 33.7530i | −0.276964 | + | 1.33525i | ||||
\(640\) | 15.6943 | + | 19.8416i | 0.620370 | + | 0.784309i | ||||
\(641\) | 0.700633 | − | 0.404511i | 0.0276733 | − | 0.0159772i | −0.486100 | − | 0.873903i | \(-0.661581\pi\) |
0.513773 | + | 0.857926i | \(0.328247\pi\) | |||||||
\(642\) | 0.0771275 | + | 35.5131i | 0.00304398 | + | 1.40159i | ||||
\(643\) | −35.0035 | + | 9.37917i | −1.38041 | + | 0.369878i | −0.871268 | − | 0.490807i | \(-0.836702\pi\) |
−0.509137 | + | 0.860686i | \(0.670035\pi\) | |||||||
\(644\) | −17.2097 | + | 3.64777i | −0.678158 | + | 0.143742i | ||||
\(645\) | −17.6530 | − | 46.9689i | −0.695086 | − | 1.84940i | ||||
\(646\) | 1.46919 | + | 14.0169i | 0.0578045 | + | 0.551487i | ||||
\(647\) | 26.7528 | − | 26.7528i | 1.05176 | − | 1.05176i | 0.0531745 | − | 0.998585i | \(-0.483066\pi\) |
0.998585 | − | 0.0531745i | \(-0.0169340\pi\) | |||||||
\(648\) | 16.1967 | + | 19.6384i | 0.636268 | + | 0.771468i | ||||
\(649\) | 6.87762i | 0.269970i | ||||||||
\(650\) | −21.3382 | − | 12.8725i | −0.836951 | − | 0.504901i | ||||
\(651\) | 14.4694 | − | 11.7760i | 0.567099 | − | 0.461540i | ||||
\(652\) | 21.0100 | − | 32.3121i | 0.822814 | − | 1.26544i | ||||
\(653\) | 2.17656 | + | 8.12303i | 0.0851753 | + | 0.317879i | 0.995347 | − | 0.0963519i | \(-0.0307174\pi\) |
−0.910172 | + | 0.414230i | \(0.864051\pi\) | |||||||
\(654\) | 10.8374 | + | 10.7904i | 0.423776 | + | 0.421940i | ||||
\(655\) | 26.9022 | − | 5.45262i | 1.05116 | − | 0.213051i | ||||
\(656\) | −9.34718 | − | 0.993220i | −0.364946 | − | 0.0387787i | ||||
\(657\) | −19.7353 | + | 12.9546i | −0.769946 | + | 0.505406i | ||||
\(658\) | 16.0487 | + | 41.8439i | 0.625643 | + | 1.63125i | ||||
\(659\) | −10.5265 | + | 6.07746i | −0.410053 | + | 0.236744i | −0.690813 | − | 0.723034i | \(-0.742747\pi\) |
0.280759 | + | 0.959778i | \(0.409414\pi\) | |||||||
\(660\) | 9.57710 | − | 43.4353i | 0.372788 | − | 1.69072i | ||||
\(661\) | −5.24333 | − | 3.02724i | −0.203942 | − | 0.117746i | 0.394551 | − | 0.918874i | \(-0.370900\pi\) |
−0.598493 | + | 0.801128i | \(0.704234\pi\) | |||||||
\(662\) | 0.583495 | − | 3.67725i | 0.0226782 | − | 0.142920i | ||||
\(663\) | 19.8569 | + | 14.3525i | 0.771178 | + | 0.557403i | ||||
\(664\) | −15.7721 | − | 14.2257i | −0.612076 | − | 0.552065i | ||||
\(665\) | −15.8893 | + | 7.90746i | −0.616160 | + | 0.306638i | ||||
\(666\) | 0.598448 | − | 5.95908i | 0.0231894 | − | 0.230910i | ||||
\(667\) | −7.66631 | + | 7.66631i | −0.296841 | + | 0.296841i | ||||
\(668\) | 20.0851 | − | 10.2194i | 0.777117 | − | 0.395402i | ||||
\(669\) | 6.99844 | − | 18.3663i | 0.270575 | − | 0.710083i | ||||
\(670\) | 10.8209 | + | 34.4425i | 0.418048 | + | 1.33063i | ||||
\(671\) | −18.2348 | − | 10.5279i | −0.703948 | − | 0.406425i | ||||
\(672\) | 18.3844 | − | 25.3589i | 0.709194 | − | 0.978239i | ||||
\(673\) | −6.93453 | − | 1.85810i | −0.267307 | − | 0.0716246i | 0.122676 | − | 0.992447i | \(-0.460852\pi\) |
−0.389983 | + | 0.920822i | \(0.627519\pi\) | |||||||
\(674\) | −17.4407 | + | 39.1424i | −0.671790 | + | 1.50771i | ||||
\(675\) | 23.6109 | + | 10.8410i | 0.908783 | + | 0.417269i | ||||
\(676\) | 0.775210 | + | 0.861947i | 0.0298158 | + | 0.0331518i | ||||
\(677\) | −9.68889 | + | 36.1594i | −0.372374 | + | 1.38972i | 0.484769 | + | 0.874642i | \(0.338904\pi\) |
−0.857143 | + | 0.515078i | \(0.827763\pi\) | |||||||
\(678\) | 7.79279 | + | 4.47663i | 0.299280 | + | 0.171924i | ||||
\(679\) | 0.172947 | + | 0.0998509i | 0.00663709 | + | 0.00383193i | ||||
\(680\) | −21.8521 | − | 12.9189i | −0.837992 | − | 0.495417i | ||||
\(681\) | −19.6478 | − | 7.48674i | −0.752905 | − | 0.286892i | ||||
\(682\) | −17.2249 | + | 21.2586i | −0.659575 | + | 0.814032i | ||||
\(683\) | −28.9007 | + | 28.9007i | −1.10586 | + | 1.10586i | −0.112167 | + | 0.993689i | \(0.535779\pi\) |
−0.993689 | + | 0.112167i | \(0.964221\pi\) | |||||||
\(684\) | 0.0647078 | + | 14.8972i | 0.00247416 | + | 0.569608i | ||||
\(685\) | 8.54902 | + | 17.1785i | 0.326641 | + | 0.656355i | ||||
\(686\) | 1.78175 | + | 16.9989i | 0.0680275 | + | 0.649020i | ||||
\(687\) | −30.5086 | − | 22.0515i | −1.16398 | − | 0.841317i | ||||
\(688\) | 8.04834 | + | 51.1935i | 0.306840 | + | 1.95173i | ||||
\(689\) | −14.9557 | + | 25.9040i | −0.569767 | + | 0.986865i | ||||
\(690\) | 3.02579 | + | 14.7639i | 0.115190 | + | 0.562052i | ||||
\(691\) | −26.4896 | + | 15.2938i | −1.00771 | + | 0.581804i | −0.910521 | − | 0.413462i | \(-0.864320\pi\) |
−0.0971922 | + | 0.995266i | \(0.530986\pi\) | |||||||
\(692\) | −0.409160 | + | 7.72287i | −0.0155539 | + | 0.293580i | ||||
\(693\) | −54.9789 | + | 3.15233i | −2.08848 | + | 0.119747i | ||||
\(694\) | −8.36651 | + | 18.7771i | −0.317589 | + | 0.712768i | ||||
\(695\) | −1.77987 | + | 0.360750i | −0.0675144 | + | 0.0136840i | ||||
\(696\) | 0.979396 | − | 19.2785i | 0.0371239 | − | 0.730748i | ||||
\(697\) | 9.11077 | − | 2.44122i | 0.345095 | − | 0.0924679i | ||||
\(698\) | −8.82486 | − | 1.40030i | −0.334026 | − | 0.0530022i | ||||
\(699\) | 32.7217 | − | 26.6309i | 1.23765 | − | 1.00727i | ||||
\(700\) | 5.61562 | − | 31.4706i | 0.212250 | − | 1.18948i | ||||
\(701\) | −20.9179 | −0.790057 | −0.395028 | − | 0.918669i | \(-0.629265\pi\) | ||||
−0.395028 | + | 0.918669i | \(0.629265\pi\) | |||||||
\(702\) | 19.3682 | + | 17.1922i | 0.731005 | + | 0.648879i | ||||
\(703\) | 2.47836 | − | 2.47836i | 0.0934730 | − | 0.0934730i | ||||
\(704\) | −18.7562 | + | 41.9338i | −0.706903 | + | 1.58044i | ||||
\(705\) | 35.9385 | − | 13.5073i | 1.35352 | − | 0.508714i | ||||
\(706\) | −23.5103 | − | 32.3786i | −0.884823 | − | 1.21859i | ||||
\(707\) | −24.6173 | + | 6.59619i | −0.925829 | + | 0.248075i | ||||
\(708\) | 3.79356 | + | 1.68043i | 0.142571 | + | 0.0631546i | ||||
\(709\) | −3.93066 | − | 6.80810i | −0.147619 | − | 0.255684i | 0.782728 | − | 0.622364i | \(-0.213828\pi\) |
−0.930347 | + | 0.366680i | \(0.880494\pi\) | |||||||
\(710\) | −1.54778 | − | 36.3032i | −0.0580870 | − | 1.36243i | ||||
\(711\) | 5.68023 | − | 1.87653i | 0.213025 | − | 0.0703754i | ||||
\(712\) | −11.8029 | − | 6.02661i | −0.442332 | − | 0.225857i | ||||
\(713\) | 2.39945 | − | 8.95488i | 0.0898602 | − | 0.335363i | ||||
\(714\) | −8.06864 | + | 30.3763i | −0.301961 | + | 1.13681i | ||||
\(715\) | 2.79588 | − | 45.1645i | 0.104560 | − | 1.68906i | ||||
\(716\) | −1.64504 | + | 0.348683i | −0.0614781 | + | 0.0130309i | ||||
\(717\) | −14.9443 | − | 10.8017i | −0.558106 | − | 0.403396i | ||||
\(718\) | −12.9414 | + | 15.9720i | −0.482970 | + | 0.596070i | ||||
\(719\) | 16.1134 | 0.600928 | 0.300464 | − | 0.953793i | \(-0.402858\pi\) | ||||
0.300464 | + | 0.953793i | \(0.402858\pi\) | |||||||
\(720\) | −21.6181 | − | 15.8953i | −0.805658 | − | 0.592381i | ||||
\(721\) | 30.2645 | 1.12711 | ||||||||
\(722\) | 11.4273 | − | 14.1034i | 0.425281 | − | 0.524872i | ||||
\(723\) | −12.0020 | + | 5.37901i | −0.446359 | + | 0.200047i | ||||
\(724\) | 3.38910 | − | 0.718353i | 0.125955 | − | 0.0266974i | ||||
\(725\) | −7.67113 | − | 18.1466i | −0.284899 | − | 0.673946i | ||||
\(726\) | 51.9571 | − | 14.0429i | 1.92831 | − | 0.521180i | ||||
\(727\) | −1.95861 | + | 7.30962i | −0.0726407 | + | 0.271099i | −0.992688 | − | 0.120709i | \(-0.961483\pi\) |
0.920047 | + | 0.391807i | \(0.128150\pi\) | |||||||
\(728\) | 14.4910 | − | 28.3802i | 0.537074 | − | 1.05184i | ||||
\(729\) | −22.0751 | − | 15.5464i | −0.817595 | − | 0.575794i | ||||
\(730\) | 16.8303 | − | 18.3293i | 0.622918 | − | 0.678400i | ||||
\(731\) | −26.0003 | − | 45.0339i | −0.961657 | − | 1.66564i | ||||
\(732\) | −10.2624 | + | 7.48566i | −0.379308 | + | 0.276678i | ||||
\(733\) | 20.7592 | − | 5.56240i | 0.766758 | − | 0.205452i | 0.145819 | − | 0.989311i | \(-0.453418\pi\) |
0.620939 | + | 0.783859i | \(0.286752\pi\) | |||||||
\(734\) | −27.1170 | − | 37.3457i | −1.00091 | − | 1.37846i | ||||
\(735\) | −12.4090 | + | 1.21638i | −0.457714 | + | 0.0448668i | ||||
\(736\) | 0.0222157 | − | 15.5650i | 0.000818881 | − | 0.573734i | ||||
\(737\) | −46.3550 | + | 46.3550i | −1.70751 | + | 1.70751i | ||||
\(738\) | 9.83992 | − | 1.60522i | 0.362213 | − | 0.0590889i | ||||
\(739\) | 9.06153 | 0.333334 | 0.166667 | − | 0.986013i | \(-0.446700\pi\) | ||||
0.166667 | + | 0.986013i | \(0.446700\pi\) | |||||||
\(740\) | 0.924945 | + | 6.24489i | 0.0340016 | + | 0.229567i | ||||
\(741\) | 2.40770 | + | 14.9635i | 0.0884490 | + | 0.549699i | ||||
\(742\) | −37.8963 | − | 6.01327i | −1.39122 | − | 0.220754i | ||||
\(743\) | 34.1284 | − | 9.14469i | 1.25205 | − | 0.335486i | 0.428922 | − | 0.903341i | \(-0.358893\pi\) |
0.823128 | + | 0.567855i | \(0.192227\pi\) | |||||||
\(744\) | 7.51718 | + | 14.6951i | 0.275593 | + | 0.538748i | ||||
\(745\) | −2.77521 | − | 13.6924i | −0.101676 | − | 0.501650i | ||||
\(746\) | −14.9173 | + | 33.4791i | −0.546162 | + | 1.22576i | ||||
\(747\) | 20.1228 | + | 10.1288i | 0.736256 | + | 0.370595i | ||||
\(748\) | 2.43873 | − | 46.0309i | 0.0891688 | − | 1.68306i | ||||
\(749\) | −40.1381 | + | 23.1737i | −1.46661 | + | 0.846750i | ||||
\(750\) | −26.9273 | − | 4.99193i | −0.983247 | − | 0.182279i | ||||
\(751\) | −14.9075 | + | 25.8206i | −0.543983 | + | 0.942207i | 0.454687 | + | 0.890651i | \(0.349751\pi\) |
−0.998670 | + | 0.0515555i | \(0.983582\pi\) | |||||||
\(752\) | −39.1710 | + | 6.15824i | −1.42842 | + | 0.224568i | ||||
\(753\) | −3.07756 | + | 29.9898i | −0.112153 | + | 1.09289i | ||||
\(754\) | −2.04721 | − | 19.5315i | −0.0745549 | − | 0.711296i | ||||
\(755\) | 0.248933 | − | 0.742161i | 0.00905961 | − | 0.0270100i | ||||
\(756\) | −11.6944 | + | 31.0955i | −0.425322 | + | 1.13093i | ||||
\(757\) | 11.3866 | − | 11.3866i | 0.413852 | − | 0.413852i | −0.469226 | − | 0.883078i | \(-0.655467\pi\) |
0.883078 | + | 0.469226i | \(0.155467\pi\) | |||||||
\(758\) | −4.94877 | + | 6.10766i | −0.179747 | + | 0.221840i | ||||
\(759\) | −21.2250 | + | 17.2742i | −0.770419 | + | 0.627013i | ||||
\(760\) | −3.90750 | − | 15.2092i | −0.141740 | − | 0.551697i | ||||
\(761\) | 27.6468 | + | 15.9619i | 1.00219 | + | 0.578617i | 0.908897 | − | 0.417021i | \(-0.136926\pi\) |
0.0932976 | + | 0.995638i | \(0.470259\pi\) | |||||||
\(762\) | −0.0400958 | − | 18.4620i | −0.00145252 | − | 0.668807i | ||||
\(763\) | −5.16573 | + | 19.2788i | −0.187012 | + | 0.697938i | ||||
\(764\) | −1.12259 | − | 1.24820i | −0.0406139 | − | 0.0451581i | ||||
\(765\) | 25.9758 | + | 7.08704i | 0.939155 | + | 0.256232i | ||||
\(766\) | 9.42039 | − | 21.1423i | 0.340372 | − | 0.763902i | ||||
\(767\) | 4.07731 | + | 1.09251i | 0.147223 | + | 0.0394483i | ||||
\(768\) | 18.5471 | + | 20.5914i | 0.669260 | + | 0.743029i | ||||
\(769\) | −35.2075 | − | 20.3271i | −1.26962 | − | 0.733014i | −0.294701 | − | 0.955589i | \(-0.595220\pi\) |
−0.974915 | + | 0.222576i | \(0.928553\pi\) | |||||||
\(770\) | 55.3792 | − | 17.3987i | 1.99573 | − | 0.627004i | ||||
\(771\) | −23.9062 | + | 3.84661i | −0.860962 | + | 0.138532i | ||||
\(772\) | 4.58187 | − | 2.33129i | 0.164905 | − | 0.0839049i | ||||
\(773\) | −29.7114 | + | 29.7114i | −1.06865 | + | 1.06865i | −0.0711828 | + | 0.997463i | \(0.522677\pi\) |
−0.997463 | + | 0.0711828i | \(0.977323\pi\) | |||||||
\(774\) | −22.5888 | − | 50.1098i | −0.811938 | − | 1.80116i | ||||
\(775\) | 13.4393 | + | 10.1584i | 0.482752 | + | 0.364900i | ||||
\(776\) | −0.118342 | + | 0.131206i | −0.00424823 | + | 0.00471002i | ||||
\(777\) | 7.13260 | − | 3.19666i | 0.255880 | − | 0.114680i | ||||
\(778\) | −5.30595 | + | 33.4386i | −0.190227 | + | 1.19883i | ||||
\(779\) | 5.05296 | + | 2.91733i | 0.181041 | + | 0.104524i | ||||
\(780\) | −24.2287 | − | 12.5774i | −0.867528 | − | 0.450342i | ||||
\(781\) | 57.1406 | − | 32.9902i | 2.04465 | − | 1.18048i | ||||
\(782\) | 5.59305 | + | 14.5828i | 0.200007 | + | 0.521481i | ||||
\(783\) | 4.40435 | + | 19.9949i | 0.157399 | + | 0.714560i | ||||
\(784\) | 12.8053 | + | 1.36068i | 0.457333 | + | 0.0485956i | ||||
\(785\) | −18.2713 | + | 27.5606i | −0.652129 | + | 0.983680i | ||||
\(786\) | 29.0275 | − | 7.84552i | 1.03538 | − | 0.279840i | ||||
\(787\) | −5.45743 | − | 20.3674i | −0.194536 | − | 0.726020i | −0.992386 | − | 0.123164i | \(-0.960696\pi\) |
0.797850 | − | 0.602856i | \(-0.205971\pi\) | |||||||
\(788\) | −30.0126 | + | 46.1577i | −1.06916 | + | 1.64430i | ||||
\(789\) | 13.8563 | + | 5.27991i | 0.493298 | + | 0.187970i | ||||
\(790\) | −5.32169 | + | 3.38263i | −0.189337 | + | 0.120349i | ||||
\(791\) | 11.7288i | 0.417030i | ||||||||
\(792\) | 7.42674 | − | 48.1546i | 0.263898 | − | 1.71110i | ||||
\(793\) | −9.13793 | + | 9.13793i | −0.324497 | + | 0.324497i | ||||
\(794\) | 0.330273 | + | 3.15099i | 0.0117210 | + | 0.111824i | ||||
\(795\) | −5.36959 | + | 32.4296i | −0.190440 | + | 1.15016i | ||||
\(796\) | 3.42036 | − | 0.724980i | 0.121232 | − | 0.0256962i | ||||
\(797\) | −30.4465 | + | 8.15812i | −1.07847 | + | 0.288976i | −0.753969 | − | 0.656909i | \(-0.771863\pi\) |
−0.324502 | + | 0.945885i | \(0.605197\pi\) | |||||||
\(798\) | −16.8162 | + | 9.75762i | −0.595288 | + | 0.345416i | ||||
\(799\) | 34.4580 | − | 19.8943i | 1.21904 | − | 0.703810i | ||||
\(800\) | 26.1938 | + | 10.6716i | 0.926092 | + | 0.377298i | ||||
\(801\) | 13.7634 | + | 2.85488i | 0.486306 | + | 0.100872i | ||||
\(802\) | 43.8069 | − | 16.8016i | 1.54688 | − | 0.593283i | ||||
\(803\) | 43.6459 | + | 11.6949i | 1.54023 | + | 0.412704i | ||||
\(804\) | 14.2424 | + | 36.8946i | 0.502291 | + | 1.30117i | ||||
\(805\) | −14.7405 | + | 13.0219i | −0.519533 | + | 0.458961i | ||||
\(806\) | 9.86668 | + | 13.5885i | 0.347539 | + | 0.478634i | ||||
\(807\) | −43.2297 | − | 4.43625i | −1.52176 | − | 0.156163i | ||||
\(808\) | −1.16085 | − | 22.5192i | −0.0408384 | − | 0.792224i | ||||
\(809\) | 1.12377 | 0.0395096 | 0.0197548 | − | 0.999805i | \(-0.493711\pi\) | ||||
0.0197548 | + | 0.999805i | \(0.493711\pi\) | |||||||
\(810\) | 26.5710 | + | 10.1973i | 0.933608 | + | 0.358295i | ||||
\(811\) | − | 36.6040i | − | 1.28534i | −0.766143 | − | 0.642670i | \(-0.777827\pi\) | ||
0.766143 | − | 0.642670i | \(-0.222173\pi\) | |||||||
\(812\) | 22.4530 | − | 11.4243i | 0.787947 | − | 0.400913i | ||||
\(813\) | 4.94526 | − | 48.1898i | 0.173438 | − | 1.69009i | ||||
\(814\) | −9.27599 | + | 6.73536i | −0.325123 | + | 0.236074i | ||||
\(815\) | 2.66244 | − | 43.0090i | 0.0932613 | − | 1.50654i | ||||
\(816\) | −24.7939 | − | 12.5921i | −0.867960 | − | 0.440810i | ||||
\(817\) | 8.32549 | − | 31.0711i | 0.291272 | − | 1.08704i | ||||
\(818\) | 7.46502 | − | 2.86311i | 0.261008 | − | 0.100106i | ||||
\(819\) | −6.86459 | + | 33.0943i | −0.239868 | + | 1.15641i | ||||
\(820\) | −9.64314 | + | 4.17795i | −0.336753 | + | 0.145900i | ||||
\(821\) | −13.8373 | − | 23.9670i | −0.482926 | − | 0.836453i | 0.516882 | − | 0.856057i | \(-0.327093\pi\) |
−0.999808 | + | 0.0196042i | \(0.993759\pi\) | |||||||
\(822\) | 10.5493 | + | 18.1806i | 0.367949 | + | 0.634122i | ||||
\(823\) | 0.448721 | + | 1.67465i | 0.0156414 | + | 0.0583746i | 0.973305 | − | 0.229514i | \(-0.0737135\pi\) |
−0.957664 | + | 0.287888i | \(0.907047\pi\) | |||||||
\(824\) | −5.58974 | + | 26.1874i | −0.194728 | + | 0.912280i | ||||
\(825\) | −14.5858 | − | 47.5415i | −0.507813 | − | 1.65518i | ||||
\(826\) | 0.564472 | + | 5.38538i | 0.0196405 | + | 0.187381i | ||||
\(827\) | −10.0630 | − | 10.0630i | −0.349926 | − | 0.349926i | 0.510156 | − | 0.860082i | \(-0.329588\pi\) |
−0.860082 | + | 0.510156i | \(0.829588\pi\) | |||||||
\(828\) | 4.34212 | + | 15.9280i | 0.150899 | + | 0.553535i | ||||
\(829\) | −29.1575 | −1.01268 | −0.506340 | − | 0.862334i | \(-0.669002\pi\) | ||||
−0.506340 | + | 0.862334i | \(0.669002\pi\) | |||||||
\(830\) | −23.1787 | − | 5.16350i | −0.804543 | − | 0.179228i | ||||
\(831\) | 17.0886 | − | 44.8463i | 0.592796 | − | 1.55570i | ||||
\(832\) | 21.8805 | + | 17.7806i | 0.758568 | + | 0.616431i | ||||
\(833\) | −12.4814 | + | 3.34439i | −0.432456 | + | 0.115876i | ||||
\(834\) | −1.92049 | + | 0.519066i | −0.0665010 | + | 0.0179738i | ||||
\(835\) | 13.9218 | − | 20.9999i | 0.481785 | − | 0.726730i | ||||
\(836\) | 21.2011 | − | 19.0677i | 0.733257 | − | 0.659470i | ||||
\(837\) | −11.8104 | − | 12.9239i | −0.408226 | − | 0.446714i | ||||
\(838\) | −17.9407 | + | 6.88093i | −0.619752 | + | 0.237698i | ||||
\(839\) | 5.52584 | + | 9.57104i | 0.190773 | + | 0.330429i | 0.945507 | − | 0.325603i | \(-0.105567\pi\) |
−0.754733 | + | 0.656032i | \(0.772234\pi\) | |||||||
\(840\) | 3.93425 | − | 34.7972i | 0.135745 | − | 1.20062i | ||||
\(841\) | −6.73712 | + | 11.6690i | −0.232315 | + | 0.402381i | ||||
\(842\) | 2.84800 | − | 17.9484i | 0.0981486 | − | 0.618543i | ||||
\(843\) | −0.269013 | − | 0.600239i | −0.00926529 | − | 0.0206733i | ||||
\(844\) | 10.7647 | − | 33.0661i | 0.370536 | − | 1.13818i | ||||
\(845\) | 1.22882 | + | 0.412167i | 0.0422727 | + | 0.0141790i | ||||
\(846\) | 38.3418 | − | 17.2840i | 1.31822 | − | 0.594235i | ||||
\(847\) | 49.6679 | + | 49.6679i | 1.70661 | + | 1.70661i | ||||
\(848\) | 12.2025 | − | 31.6804i | 0.419035 | − | 1.08791i | ||||
\(849\) | −0.0238055 | − | 0.147948i | −0.000817003 | − | 0.00507757i | ||||
\(850\) | −28.3764 | − | 0.545359i | −0.973303 | − | 0.0187057i | ||||
\(851\) | 1.94208 | − | 3.36378i | 0.0665736 | − | 0.115309i | ||||
\(852\) | −4.23534 | − | 39.5783i | −0.145100 | − | 1.35593i | ||||
\(853\) | −1.42469 | + | 5.31700i | −0.0487803 | + | 0.182051i | −0.986017 | − | 0.166642i | \(-0.946708\pi\) |
0.937237 | + | 0.348693i | \(0.113374\pi\) | |||||||
\(854\) | −15.1425 | − | 6.74705i | −0.518165 | − | 0.230879i | ||||
\(855\) | 8.26212 | + | 14.4620i | 0.282559 | + | 0.494591i | ||||
\(856\) | −12.6385 | − | 39.0109i | −0.431975 | − | 1.33337i | ||||
\(857\) | −25.1279 | − | 6.73301i | −0.858354 | − | 0.229995i | −0.197309 | − | 0.980341i | \(-0.563220\pi\) |
−0.661045 | + | 0.750346i | \(0.729887\pi\) | |||||||
\(858\) | −0.107656 | − | 49.5698i | −0.00367531 | − | 1.69229i | ||||
\(859\) | 6.45647 | − | 11.1829i | 0.220292 | − | 0.381557i | −0.734605 | − | 0.678495i | \(-0.762632\pi\) |
0.954897 | + | 0.296939i | \(0.0959657\pi\) | |||||||
\(860\) | 36.0085 | + | 45.3908i | 1.22788 | + | 1.54781i | ||||
\(861\) | 8.21329 | + | 10.0918i | 0.279908 | + | 0.343927i | ||||
\(862\) | −39.0915 | − | 31.6741i | −1.33146 | − | 1.07882i | ||||
\(863\) | −30.4423 | − | 30.4423i | −1.03627 | − | 1.03627i | −0.999317 | − | 0.0369496i | \(-0.988236\pi\) |
−0.0369496 | − | 0.999317i | \(-0.511764\pi\) | |||||||
\(864\) | −24.7465 | − | 15.8622i | −0.841893 | − | 0.539644i | ||||
\(865\) | 3.85235 | + | 7.74094i | 0.130984 | + | 0.263200i | ||||
\(866\) | 2.56883 | + | 24.5080i | 0.0872923 | + | 0.832817i | ||||
\(867\) | −1.53286 | − | 0.157303i | −0.0520588 | − | 0.00534230i | ||||
\(868\) | −11.7428 | + | 18.0598i | −0.398578 | + | 0.612989i | ||||
\(869\) | −9.91617 | − | 5.72510i | −0.336383 | − | 0.194211i | ||||
\(870\) | −9.65740 | − | 19.3004i | −0.327417 | − | 0.654346i | ||||
\(871\) | 20.1174 | + | 34.8444i | 0.681653 | + | 1.18066i | ||||
\(872\) | −15.7275 | − | 8.03054i | −0.532601 | − | 0.271948i | ||||
\(873\) | 0.0842605 | − | 0.167399i | 0.00285178 | − | 0.00566560i | ||||
\(874\) | −3.93223 | + | 8.82514i | −0.133010 | + | 0.298515i | ||||
\(875\) | −11.8559 | − | 33.7173i | −0.400802 | − | 1.13985i | ||||
\(876\) | 17.1148 | − | 21.2168i | 0.578257 | − | 0.716849i | ||||
\(877\) | −0.0747806 | − | 0.279085i | −0.00252516 | − | 0.00942403i | 0.964652 | − | 0.263528i | \(-0.0848861\pi\) |
−0.967177 | + | 0.254104i | \(0.918219\pi\) | |||||||
\(878\) | −1.97188 | + | 12.4270i | −0.0665476 | + | 0.419390i | ||||
\(879\) | 38.0552 | − | 6.12325i | 1.28357 | − | 0.206532i | ||||
\(880\) | 4.82644 | + | 51.1322i | 0.162699 | + | 1.72367i | ||||
\(881\) | − | 28.7115i | − | 0.967315i | −0.875257 | − | 0.483658i | \(-0.839308\pi\) | ||
0.875257 | − | 0.483658i | \(-0.160692\pi\) | |||||||
\(882\) | −13.4804 | + | 2.19909i | −0.453907 | + | 0.0740473i | ||||
\(883\) | −23.0057 | − | 23.0057i | −0.774205 | − | 0.774205i | 0.204634 | − | 0.978839i | \(-0.434400\pi\) |
−0.978839 | + | 0.204634i | \(0.934400\pi\) | |||||||
\(884\) | −26.9014 | − | 8.75779i | −0.904793 | − | 0.294556i | ||||
\(885\) | 4.61670 | − | 0.452546i | 0.155189 | − | 0.0152122i | ||||
\(886\) | 25.8442 | − | 18.7656i | 0.868252 | − | 0.630443i | ||||
\(887\) | −11.2761 | − | 42.0830i | −0.378614 | − | 1.41301i | −0.847991 | − | 0.530010i | \(-0.822188\pi\) |
0.469377 | − | 0.882998i | \(-0.344478\pi\) | |||||||
\(888\) | 1.44865 | + | 6.76213i | 0.0486136 | + | 0.226922i | ||||
\(889\) | 20.8663 | − | 12.0472i | 0.699834 | − | 0.404049i | ||||
\(890\) | −14.8033 | + | 0.631134i | −0.496207 | + | 0.0211557i | ||||
\(891\) | 5.90689 | + | 51.3408i | 0.197888 | + | 1.71998i | ||||
\(892\) | −1.20071 | + | 22.6633i | −0.0402027 | + | 0.758824i | ||||
\(893\) | 23.7743 | + | 6.37030i | 0.795576 | + | 0.213174i | ||||
\(894\) | −3.99313 | − | 14.7741i | −0.133550 | − | 0.494121i | ||||
\(895\) | −1.40901 | + | 1.24473i | −0.0470981 | + | 0.0416069i | ||||
\(896\) | −11.2450 | + | 34.3748i | −0.375670 | + | 1.14838i | ||||
\(897\) | 6.86918 | + | 15.3270i | 0.229355 | + | 0.511753i | ||||
\(898\) | −27.6090 | + | 34.0743i | −0.921323 | + | 1.13707i | ||||
\(899\) | 13.2760i | 0.442779i | ||||||||
\(900\) | −29.7867 | − | 3.57073i | −0.992891 | − | 0.119024i | ||||
\(901\) | 34.0661i | 1.13491i | ||||||||
\(902\) | −14.8269 | − | 12.0136i | −0.493683 | − | 0.400010i | ||||
\(903\) | 42.0218 | − | 58.1380i | 1.39840 | − | 1.93471i | ||||
\(904\) | −10.1488 | − | 2.16627i | −0.337543 | − | 0.0720492i | ||||
\(905\) | 2.90283 | − | 2.56439i | 0.0964935 | − | 0.0852432i | ||||
\(906\) | 0.220141 | − | 0.828772i | 0.00731369 | − | 0.0275341i | ||||
\(907\) | −3.59579 | − | 0.963489i | −0.119396 | − | 0.0319921i | 0.198626 | − | 0.980075i | \(-0.436352\pi\) |
−0.318022 | + | 0.948083i | \(0.603019\pi\) | |||||||
\(908\) | 24.2446 | + | 1.28448i | 0.804585 | + | 0.0426271i | ||||
\(909\) | 7.50245 | + | 22.7098i | 0.248841 | + | 0.753237i | ||||
\(910\) | −1.51757 | − | 35.5946i | −0.0503069 | − | 1.17995i | ||||
\(911\) | 44.7337 | − | 25.8270i | 1.48209 | − | 0.855687i | 0.482300 | − | 0.876006i | \(-0.339801\pi\) |
0.999794 | + | 0.0203188i | \(0.00646812\pi\) | |||||||
\(912\) | −5.33721 | − | 16.3530i | −0.176733 | − | 0.541502i | ||||
\(913\) | −11.1604 | − | 41.6510i | −0.369354 | − | 1.37845i | ||||
\(914\) | −16.4339 | − | 22.6329i | −0.543584 | − | 0.748629i | ||||
\(915\) | −5.86714 | + | 12.9331i | −0.193962 | + | 0.427556i | ||||
\(916\) | 41.3321 | + | 13.4557i | 1.36565 | + | 0.444589i | ||||
\(917\) | 27.7486 | + | 27.7486i | 0.916340 | + | 0.916340i | ||||
\(918\) | 28.8933 | + | 5.92777i | 0.953620 | + | 0.195646i | ||||
\(919\) | 51.3540i | 1.69401i | 0.531584 | + | 0.847006i | \(0.321597\pi\) | ||||
−0.531584 | + | 0.847006i | \(0.678403\pi\) | |||||||
\(920\) | −8.54510 | − | 15.1598i | −0.281724 | − | 0.499803i | ||||
\(921\) | −1.44843 | − | 1.77971i | −0.0477275 | − | 0.0586434i | ||||
\(922\) | −10.2526 | − | 1.62686i | −0.337652 | − | 0.0535777i | ||||
\(923\) | −10.4810 | − | 39.1156i | −0.344986 | − | 1.28750i | ||||
\(924\) | 59.3218 | − | 22.9000i | 1.95154 | − | 0.753355i | ||||
\(925\) | 4.33722 | + | 5.56833i | 0.142607 | + | 0.183085i | ||||
\(926\) | 20.3615 | + | 9.07251i | 0.669122 | + | 0.298141i | ||||
\(927\) | −1.62580 | − | 28.3550i | −0.0533981 | − | 0.931302i | ||||
\(928\) | 5.73823 | + | 21.5383i | 0.188366 | + | 0.707028i | ||||
\(929\) | −10.9052 | − | 18.8883i | −0.357788 | − | 0.619707i | 0.629803 | − | 0.776755i | \(-0.283136\pi\) |
−0.987591 | + | 0.157048i | \(0.949802\pi\) | |||||||
\(930\) | 15.4035 | + | 10.1636i | 0.505101 | + | 0.333279i | ||||
\(931\) | −6.92239 | − | 3.99664i | −0.226872 | − | 0.130985i | ||||
\(932\) | −26.5558 | + | 40.8413i | −0.869864 | + | 1.33780i | ||||
\(933\) | 7.15076 | − | 9.89320i | 0.234105 | − | 0.323889i | ||||
\(934\) | −7.32655 | + | 0.767937i | −0.239732 | + | 0.0251277i | ||||
\(935\) | −22.9613 | − | 46.1386i | −0.750915 | − | 1.50889i | ||||
\(936\) | −27.3681 | − | 12.0522i | −0.894553 | − | 0.393939i | ||||
\(937\) | −1.12278 | − | 1.12278i | −0.0366797 | − | 0.0366797i | 0.688529 | − | 0.725209i | \(-0.258257\pi\) |
−0.725209 | + | 0.688529i | \(0.758257\pi\) | |||||||
\(938\) | −32.4928 | + | 40.1018i | −1.06093 | + | 1.30937i | ||||
\(939\) | −5.92638 | + | 15.5529i | −0.193400 | + | 0.507549i | ||||
\(940\) | −34.7310 | + | 27.5521i | −1.13280 | + | 0.898651i | ||||
\(941\) | 1.08517 | − | 1.87957i | 0.0353755 | − | 0.0612722i | −0.847796 | − | 0.530323i | \(-0.822071\pi\) |
0.883171 | + | 0.469051i | \(0.155404\pi\) | |||||||
\(942\) | −18.0434 | + | 31.4094i | −0.587885 | + | 1.02337i | ||||
\(943\) | 6.24565 | + | 1.67352i | 0.203386 | + | 0.0544972i | ||||
\(944\) | −4.76414 | − | 0.506232i | −0.155059 | − | 0.0164764i | ||||
\(945\) | 5.73364 | + | 36.6979i | 0.186515 | + | 1.19378i | ||||
\(946\) | −42.8192 | + | 96.0997i | −1.39217 | + | 3.12447i | ||||
\(947\) | 0.110372 | − | 0.411913i | 0.00358660 | − | 0.0133854i | −0.964109 | − | 0.265506i | \(-0.914461\pi\) |
0.967696 | + | 0.252120i | \(0.0811278\pi\) | |||||||
\(948\) | −5.58071 | + | 4.07073i | −0.181253 | + | 0.132211i | ||||
\(949\) | 13.8663 | − | 24.0172i | 0.450120 | − | 0.779631i | ||||
\(950\) | −12.1736 | − | 12.6507i | −0.394964 | − | 0.410442i | ||||
\(951\) | 8.69420 | + | 3.31290i | 0.281929 | + | 0.107428i | ||||
\(952\) | −1.86833 | − | 36.2437i | −0.0605530 | − | 1.17467i | ||||
\(953\) | −21.9052 | − | 21.9052i | −0.709578 | − | 0.709578i | 0.256869 | − | 0.966446i | \(-0.417309\pi\) |
−0.966446 | + | 0.256869i | \(0.917309\pi\) | |||||||
\(954\) | −3.59811 | + | 35.8283i | −0.116493 | + | 1.15999i | ||||
\(955\) | −1.77947 | − | 0.596864i | −0.0575822 | − | 0.0193141i | ||||
\(956\) | 20.2461 | + | 6.59112i | 0.654804 | + | 0.213172i | ||||
\(957\) | 22.9567 | − | 31.7610i | 0.742084 | − | 1.02669i | ||||
\(958\) | 18.6458 | + | 2.95866i | 0.602418 | + | 0.0955899i | ||||
\(959\) | −13.7161 | + | 23.7569i | −0.442915 | + | 0.767152i | ||||
\(960\) | 29.3828 | + | 9.83116i | 0.948325 | + | 0.317299i | ||||
\(961\) | 9.82388 | + | 17.0155i | 0.316899 | + | 0.548886i | ||||
\(962\) | 2.51948 | + | 6.56906i | 0.0812311 | + | 0.211795i | ||||
\(963\) | 23.8678 | + | 36.3608i | 0.769131 | + | 1.17171i | ||||
\(964\) | 11.2919 | − | 10.1556i | 0.363686 | − | 0.327089i | ||||
\(965\) | 3.17589 | − | 4.79055i | 0.102235 | − | 0.154213i | ||||
\(966\) | −15.2020 | + | 15.2682i | −0.489118 | + | 0.491247i | ||||
\(967\) | −37.0948 | + | 9.93951i | −1.19289 | + | 0.319633i | −0.800026 | − | 0.599965i | \(-0.795181\pi\) |
−0.392861 | + | 0.919598i | \(0.628515\pi\) | |||||||
\(968\) | −52.1503 | + | 33.8033i | −1.67617 | + | 1.08648i | ||||
\(969\) | 10.8957 | + | 13.3877i | 0.350021 | + | 0.430075i | ||||
\(970\) | −0.0429545 | + | 0.192820i | −0.00137919 | + | 0.00619109i | ||||
\(971\) | 53.8994 | 1.72971 | 0.864857 | − | 0.502019i | \(-0.167409\pi\) | ||||
0.864857 | + | 0.502019i | \(0.167409\pi\) | |||||||
\(972\) | 29.7618 | + | 9.28617i | 0.954611 | + | 0.297854i | ||||
\(973\) | −1.83587 | − | 1.83587i | −0.0588553 | − | 0.0588553i | ||||
\(974\) | 12.0289 | − | 1.26081i | 0.385430 | − | 0.0403991i | ||||
\(975\) | −30.5013 | + | 1.09505i | −0.976823 | + | 0.0350695i | ||||
\(976\) | 8.63487 | − | 11.8564i | 0.276396 | − | 0.379514i | ||||
\(977\) | −0.140284 | − | 0.523546i | −0.00448808 | − | 0.0167497i | 0.963645 | − | 0.267184i | \(-0.0860932\pi\) |
−0.968134 | + | 0.250434i | \(0.919427\pi\) | |||||||
\(978\) | −0.102518 | − | 47.2041i | −0.00327817 | − | 1.50942i | ||||
\(979\) | −13.4523 | − | 23.3001i | −0.429939 | − | 0.744675i | ||||
\(980\) | 13.2108 | − | 5.72364i | 0.422002 | − | 0.182835i | ||||
\(981\) | 18.3399 | + | 3.80416i | 0.585549 | + | 0.121458i | ||||
\(982\) | 7.59058 | + | 19.7910i | 0.242225 | + | 0.631557i | ||||
\(983\) | −7.57578 | + | 28.2732i | −0.241630 | + | 0.901775i | 0.733417 | + | 0.679779i | \(0.237924\pi\) |
−0.975047 | + | 0.221997i | \(0.928743\pi\) | |||||||
\(984\) | −10.2492 | + | 5.24292i | −0.326733 | + | 0.167138i | ||||
\(985\) | −3.80328 | + | 61.4381i | −0.121183 | + | 1.95758i | ||||
\(986\) | −13.1414 | − | 18.0985i | −0.418508 | − | 0.576372i | ||||
\(987\) | 44.4846 | + | 32.1532i | 1.41596 | + | 1.02345i | ||||
\(988\) | −7.93622 | − | 15.5977i | −0.252485 | − | 0.496230i | ||||
\(989\) | − | 35.6477i | − | 1.13353i | ||||||
\(990\) | −19.2759 | − | 50.9506i | −0.612628 | − | 1.61932i | ||||
\(991\) | −54.2863 | −1.72446 | −0.862231 | − | 0.506515i | \(-0.830934\pi\) | ||||
−0.862231 | + | 0.506515i | \(0.830934\pi\) | |||||||
\(992\) | −13.4580 | − | 13.4965i | −0.427292 | − | 0.428513i | ||||
\(993\) | −1.86496 | − | 4.16123i | −0.0591828 | − | 0.132053i | ||||
\(994\) | 42.0352 | − | 30.5220i | 1.33328 | − | 0.968100i | ||||
\(995\) | 2.92961 | − | 2.58805i | 0.0928749 | − | 0.0820465i | ||||
\(996\) | −25.7007 | − | 4.02091i | −0.814359 | − | 0.127407i | ||||
\(997\) | 8.16217 | + | 2.18705i | 0.258499 | + | 0.0692645i | 0.385741 | − | 0.922607i | \(-0.373946\pi\) |
−0.127242 | + | 0.991872i | \(0.540613\pi\) | |||||||
\(998\) | 10.7518 | + | 28.0332i | 0.340341 | + | 0.887376i | ||||
\(999\) | −3.37814 | − | 6.51086i | −0.106879 | − | 0.205995i |
(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 | 360.2.br.e.77.18 | ✓ | 256 | |
5.3 | odd | 4 | inner | 360.2.br.e.293.50 | yes | 256 | |
8.5 | even | 2 | inner | 360.2.br.e.77.28 | yes | 256 | |
9.2 | odd | 6 | inner | 360.2.br.e.317.4 | yes | 256 | |
40.13 | odd | 4 | inner | 360.2.br.e.293.4 | yes | 256 | |
45.38 | even | 12 | inner | 360.2.br.e.173.28 | yes | 256 | |
72.29 | odd | 6 | inner | 360.2.br.e.317.50 | yes | 256 | |
360.173 | even | 12 | inner | 360.2.br.e.173.18 | yes | 256 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
360.2.br.e.77.18 | ✓ | 256 | 1.1 | even | 1 | trivial | |
360.2.br.e.77.28 | yes | 256 | 8.5 | even | 2 | inner | |
360.2.br.e.173.18 | yes | 256 | 360.173 | even | 12 | inner | |
360.2.br.e.173.28 | yes | 256 | 45.38 | even | 12 | inner | |
360.2.br.e.293.4 | yes | 256 | 40.13 | odd | 4 | inner | |
360.2.br.e.293.50 | yes | 256 | 5.3 | odd | 4 | inner | |
360.2.br.e.317.4 | yes | 256 | 9.2 | odd | 6 | inner | |
360.2.br.e.317.50 | yes | 256 | 72.29 | odd | 6 | inner |