Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [169,2,Mod(4,169)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(169, base_ring=CyclotomicField(78))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("169.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 169 = 13^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 169.k (of order \(78\), degree \(24\), 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: | \(1.34947179416\) |
Analytic rank: | \(0\) |
Dimension: | \(360\) |
Relative dimension: | \(15\) over \(\Q(\zeta_{78})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{78}]$ |
Embedding invariants
Embedding label | 4.7 | ||
Character | \(\chi\) | \(=\) | 169.4 |
Dual form | 169.2.k.a.127.7 |
$q$-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 \(\left(\mathbb{Z}/169\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{1}{78}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.522698 | − | 0.0210640i | −0.369603 | − | 0.0148945i | −0.145230 | − | 0.989398i | \(-0.546392\pi\) |
−0.224373 | + | 0.974503i | \(0.572033\pi\) | |||||||
\(3\) | −0.684753 | + | 2.36404i | −0.395342 | + | 1.36488i | 0.478252 | + | 0.878223i | \(0.341271\pi\) |
−0.873594 | + | 0.486656i | \(0.838216\pi\) | |||||||
\(4\) | −1.72074 | − | 0.138913i | −0.860372 | − | 0.0694564i | ||||
\(5\) | −1.25186 | − | 0.474767i | −0.559847 | − | 0.212322i | 0.0584171 | − | 0.998292i | \(-0.481395\pi\) |
−0.618264 | + | 0.785970i | \(0.712164\pi\) | |||||||
\(6\) | 0.407715 | − | 1.22126i | 0.166449 | − | 0.498576i | ||||
\(7\) | −0.851571 | − | 1.99871i | −0.321864 | − | 0.755442i | −0.999794 | − | 0.0203152i | \(-0.993533\pi\) |
0.677930 | − | 0.735126i | \(-0.262877\pi\) | |||||||
\(8\) | 1.93512 | + | 0.234966i | 0.684169 | + | 0.0830731i | ||||
\(9\) | −2.58423 | − | 1.63417i | −0.861410 | − | 0.544722i | ||||
\(10\) | 0.644343 | + | 0.274529i | 0.203759 | + | 0.0868136i | ||||
\(11\) | −1.53193 | − | 2.42255i | −0.461894 | − | 0.730427i | 0.531264 | − | 0.847206i | \(-0.321717\pi\) |
−0.993158 | + | 0.116780i | \(0.962743\pi\) | |||||||
\(12\) | 1.50668 | − | 3.97279i | 0.434941 | − | 1.14685i | ||||
\(13\) | −3.60017 | + | 0.196977i | −0.998507 | + | 0.0546317i | ||||
\(14\) | 0.403014 | + | 1.06266i | 0.107710 | + | 0.284008i | ||||
\(15\) | 1.97958 | − | 2.63434i | 0.511125 | − | 0.680184i | ||||
\(16\) | 2.40144 | + | 0.390272i | 0.600360 | + | 0.0975680i | ||||
\(17\) | −3.54904 | + | 1.51210i | −0.860768 | + | 0.366739i | −0.776814 | − | 0.629730i | \(-0.783165\pi\) |
−0.0839547 | + | 0.996470i | \(0.526755\pi\) | |||||||
\(18\) | 1.31635 | + | 0.908611i | 0.310267 | + | 0.214162i | ||||
\(19\) | −0.461391 | + | 0.266384i | −0.105850 | + | 0.0611127i | −0.551991 | − | 0.833850i | \(-0.686132\pi\) |
0.446140 | + | 0.894963i | \(0.352798\pi\) | |||||||
\(20\) | 2.08817 | + | 0.990851i | 0.466930 | + | 0.221561i | ||||
\(21\) | 5.30815 | − | 0.644526i | 1.15833 | − | 0.140647i | ||||
\(22\) | 0.749708 | + | 1.29853i | 0.159838 | + | 0.276848i | ||||
\(23\) | −1.34297 | + | 2.32609i | −0.280029 | + | 0.485024i | −0.971392 | − | 0.237484i | \(-0.923677\pi\) |
0.691363 | + | 0.722508i | \(0.257011\pi\) | |||||||
\(24\) | −1.88055 | + | 4.41381i | −0.383865 | + | 0.900965i | ||||
\(25\) | −2.40081 | − | 2.12693i | −0.480162 | − | 0.425387i | ||||
\(26\) | 1.88595 | − | 0.0271257i | 0.369865 | − | 0.00531978i | ||||
\(27\) | 0.106060 | − | 0.0939611i | 0.0204113 | − | 0.0180828i | ||||
\(28\) | 1.18769 | + | 3.55756i | 0.224452 | + | 0.672317i | ||||
\(29\) | −0.366513 | + | 9.09492i | −0.0680597 | + | 1.68888i | 0.500101 | + | 0.865967i | \(0.333296\pi\) |
−0.568161 | + | 0.822918i | \(0.692345\pi\) | |||||||
\(30\) | −1.09021 | + | 1.33527i | −0.199045 | + | 0.243785i | ||||
\(31\) | −1.12587 | − | 1.27085i | −0.202213 | − | 0.228251i | 0.638653 | − | 0.769495i | \(-0.279492\pi\) |
−0.840866 | + | 0.541244i | \(0.817954\pi\) | |||||||
\(32\) | −5.06689 | − | 1.03441i | −0.895707 | − | 0.182860i | ||||
\(33\) | 6.77600 | − | 1.96269i | 1.17955 | − | 0.341661i | ||||
\(34\) | 1.88693 | − | 0.715617i | 0.323605 | − | 0.122727i | ||||
\(35\) | 0.117124 | + | 2.90640i | 0.0197975 | + | 0.491271i | ||||
\(36\) | 4.21979 | + | 3.17097i | 0.703299 | + | 0.528495i | ||||
\(37\) | −7.23521 | + | 1.47708i | −1.18946 | + | 0.242830i | −0.753692 | − | 0.657228i | \(-0.771729\pi\) |
−0.435769 | + | 0.900058i | \(0.643524\pi\) | |||||||
\(38\) | 0.246779 | − | 0.129520i | 0.0400329 | − | 0.0210109i | ||||
\(39\) | 1.99956 | − | 8.64582i | 0.320186 | − | 1.38444i | ||||
\(40\) | −2.31094 | − | 1.21287i | −0.365392 | − | 0.191772i | ||||
\(41\) | 8.82333 | + | 2.55571i | 1.37797 | + | 0.399135i | 0.882836 | − | 0.469681i | \(-0.155631\pi\) |
0.495136 | + | 0.868815i | \(0.335118\pi\) | |||||||
\(42\) | −2.78814 | + | 0.225082i | −0.430219 | + | 0.0347308i | ||||
\(43\) | 1.48649 | − | 7.28133i | 0.226688 | − | 1.11039i | −0.693964 | − | 0.720009i | \(-0.744137\pi\) |
0.920653 | − | 0.390383i | \(-0.127657\pi\) | |||||||
\(44\) | 2.29953 | + | 4.38140i | 0.346668 | + | 0.660521i | ||||
\(45\) | 2.45924 | + | 3.27265i | 0.366601 | + | 0.487858i | ||||
\(46\) | 0.750965 | − | 1.18756i | 0.110724 | − | 0.175096i | ||||
\(47\) | 4.40529 | − | 3.04075i | 0.642578 | − | 0.443540i | −0.201698 | − | 0.979448i | \(-0.564646\pi\) |
0.844276 | + | 0.535908i | \(0.180031\pi\) | |||||||
\(48\) | −2.56701 | + | 5.40986i | −0.370516 | + | 0.780846i | ||||
\(49\) | 1.57940 | − | 1.64433i | 0.225629 | − | 0.234904i | ||||
\(50\) | 1.21010 | + | 1.16232i | 0.171134 | + | 0.164376i | ||||
\(51\) | −1.14446 | − | 9.42549i | −0.160257 | − | 1.31983i | ||||
\(52\) | 6.22233 | + | 0.161162i | 0.862882 | + | 0.0223491i | ||||
\(53\) | −1.00503 | + | 8.27717i | −0.138051 | + | 1.13696i | 0.744795 | + | 0.667294i | \(0.232547\pi\) |
−0.882846 | + | 0.469662i | \(0.844376\pi\) | |||||||
\(54\) | −0.0574166 | + | 0.0468792i | −0.00781342 | + | 0.00637946i | ||||
\(55\) | 0.767609 | + | 3.76000i | 0.103504 | + | 0.506998i | ||||
\(56\) | −1.17826 | − | 4.06784i | −0.157452 | − | 0.543588i | ||||
\(57\) | −0.313804 | − | 1.27315i | −0.0415644 | − | 0.168633i | ||||
\(58\) | 0.383151 | − | 4.74618i | 0.0503102 | − | 0.623204i | ||||
\(59\) | −0.902854 | − | 5.55548i | −0.117542 | − | 0.723262i | −0.977189 | − | 0.212374i | \(-0.931881\pi\) |
0.859647 | − | 0.510889i | \(-0.170684\pi\) | |||||||
\(60\) | −3.77229 | + | 4.25804i | −0.487001 | + | 0.549711i | ||||
\(61\) | −1.59795 | + | 1.20078i | −0.204596 | + | 0.153744i | −0.698102 | − | 0.715999i | \(-0.745972\pi\) |
0.493506 | + | 0.869743i | \(0.335715\pi\) | |||||||
\(62\) | 0.561723 | + | 0.687986i | 0.0713389 | + | 0.0873743i | ||||
\(63\) | −1.06557 | + | 6.55673i | −0.134250 | + | 0.826071i | ||||
\(64\) | −2.09783 | − | 0.517069i | −0.262229 | − | 0.0646337i | ||||
\(65\) | 4.60041 | + | 1.46265i | 0.570611 | + | 0.181420i | ||||
\(66\) | −3.58315 | + | 0.883166i | −0.441055 | + | 0.108710i | ||||
\(67\) | −0.692898 | − | 8.58308i | −0.0846510 | − | 1.04859i | −0.890052 | − | 0.455860i | \(-0.849332\pi\) |
0.805401 | − | 0.592731i | \(-0.201950\pi\) | |||||||
\(68\) | 6.31704 | − | 2.10894i | 0.766054 | − | 0.255746i | ||||
\(69\) | −4.57938 | − | 4.76764i | −0.551292 | − | 0.573956i | ||||
\(70\) | − | 1.52164i | − | 0.181870i | ||||||
\(71\) | −1.70076 | + | 1.63360i | −0.201843 | + | 0.193873i | −0.786830 | − | 0.617170i | \(-0.788279\pi\) |
0.584987 | + | 0.811043i | \(0.301100\pi\) | |||||||
\(72\) | −4.61682 | − | 3.76952i | −0.544098 | − | 0.444242i | ||||
\(73\) | −4.95903 | + | 9.44865i | −0.580411 | + | 1.10588i | 0.401379 | + | 0.915912i | \(0.368531\pi\) |
−0.981790 | + | 0.189968i | \(0.939161\pi\) | |||||||
\(74\) | 3.81294 | − | 0.619664i | 0.443246 | − | 0.0720344i | ||||
\(75\) | 6.67212 | − | 4.21919i | 0.770430 | − | 0.487190i | ||||
\(76\) | 0.830940 | − | 0.394286i | 0.0953154 | − | 0.0452277i | ||||
\(77\) | −3.53743 | + | 5.12486i | −0.403128 | + | 0.584032i | ||||
\(78\) | −1.22728 | + | 4.47704i | −0.138962 | + | 0.506924i | ||||
\(79\) | −6.18413 | − | 8.95925i | −0.695768 | − | 1.00799i | −0.998491 | − | 0.0549159i | \(-0.982511\pi\) |
0.302723 | − | 0.953079i | \(-0.402104\pi\) | |||||||
\(80\) | −2.82097 | − | 1.62869i | −0.315394 | − | 0.182093i | ||||
\(81\) | −3.78277 | − | 7.97202i | −0.420308 | − | 0.885780i | ||||
\(82\) | −4.55811 | − | 1.52172i | −0.503359 | − | 0.168046i | ||||
\(83\) | −3.10530 | + | 12.5987i | −0.340851 | + | 1.38289i | 0.511216 | + | 0.859452i | \(0.329195\pi\) |
−0.852067 | + | 0.523433i | \(0.824651\pi\) | |||||||
\(84\) | −9.22350 | + | 0.371694i | −1.00637 | + | 0.0405552i | ||||
\(85\) | 5.16078 | − | 0.207972i | 0.559766 | − | 0.0225578i | ||||
\(86\) | −0.930362 | + | 3.77463i | −0.100323 | + | 0.407028i | ||||
\(87\) | −21.2498 | − | 7.09422i | −2.27822 | − | 0.760580i | ||||
\(88\) | −2.39525 | − | 5.04788i | −0.255334 | − | 0.538106i | ||||
\(89\) | 1.98840 | + | 1.14800i | 0.210770 | + | 0.121688i | 0.601669 | − | 0.798745i | \(-0.294503\pi\) |
−0.390899 | + | 0.920434i | \(0.627836\pi\) | |||||||
\(90\) | −1.21650 | − | 1.76241i | −0.128231 | − | 0.185774i | ||||
\(91\) | 3.45950 | + | 7.02795i | 0.362654 | + | 0.736729i | ||||
\(92\) | 2.63403 | − | 3.81606i | 0.274617 | − | 0.397852i | ||||
\(93\) | 3.77528 | − | 1.79139i | 0.391479 | − | 0.185759i | ||||
\(94\) | −2.36669 | + | 1.49660i | −0.244105 | + | 0.154363i | ||||
\(95\) | 0.704065 | − | 0.114422i | 0.0722356 | − | 0.0117394i | ||||
\(96\) | 5.91495 | − | 11.2700i | 0.603693 | − | 1.15024i | ||||
\(97\) | 8.93791 | + | 7.29758i | 0.907507 | + | 0.740957i | 0.966328 | − | 0.257312i | \(-0.0828368\pi\) |
−0.0588213 | + | 0.998269i | \(0.518734\pi\) | |||||||
\(98\) | −0.860186 | + | 0.826220i | −0.0868919 | + | 0.0834608i | ||||
\(99\) | 8.76386i | 0.880801i | ||||||||
\(100\) | 3.83573 | + | 3.99341i | 0.383573 | + | 0.399341i | ||||
\(101\) | −7.27102 | + | 2.42742i | −0.723493 | + | 0.241538i | −0.654481 | − | 0.756078i | \(-0.727113\pi\) |
−0.0690122 | + | 0.997616i | \(0.521985\pi\) | |||||||
\(102\) | 0.399669 | + | 4.95079i | 0.0395732 | + | 0.490202i | ||||
\(103\) | −7.41881 | + | 1.82857i | −0.730997 | + | 0.180175i | −0.587211 | − | 0.809434i | \(-0.699774\pi\) |
−0.143786 | + | 0.989609i | \(0.545928\pi\) | |||||||
\(104\) | −7.01304 | − | 0.464743i | −0.687685 | − | 0.0455718i | ||||
\(105\) | −6.95104 | − | 1.71328i | −0.678352 | − | 0.167199i | ||||
\(106\) | 0.699678 | − | 4.30529i | 0.0679587 | − | 0.418167i | ||||
\(107\) | 5.07025 | + | 6.20993i | 0.490160 | + | 0.600337i | 0.959161 | − | 0.282861i | \(-0.0912834\pi\) |
−0.469001 | + | 0.883198i | \(0.655386\pi\) | |||||||
\(108\) | −0.195555 | + | 0.146950i | −0.0188173 | + | 0.0141403i | ||||
\(109\) | 5.66288 | − | 6.39207i | 0.542405 | − | 0.612249i | −0.411846 | − | 0.911253i | \(-0.635116\pi\) |
0.954252 | + | 0.299004i | \(0.0966545\pi\) | |||||||
\(110\) | −0.322027 | − | 1.98151i | −0.0307041 | − | 0.188930i | ||||
\(111\) | 1.46245 | − | 18.1158i | 0.138810 | − | 1.71947i | ||||
\(112\) | −1.26496 | − | 5.13213i | −0.119527 | − | 0.484940i | ||||
\(113\) | −4.01702 | − | 13.8684i | −0.377890 | − | 1.30463i | −0.893985 | − | 0.448096i | \(-0.852102\pi\) |
0.516096 | − | 0.856531i | \(-0.327385\pi\) | |||||||
\(114\) | 0.137207 | + | 0.672085i | 0.0128506 | + | 0.0629465i | ||||
\(115\) | 2.78556 | − | 2.27434i | 0.259755 | − | 0.212083i | ||||
\(116\) | 1.89408 | − | 15.5991i | 0.175861 | − | 1.44834i | ||||
\(117\) | 9.62555 | + | 5.37424i | 0.889882 | + | 0.496849i | ||||
\(118\) | 0.354899 | + | 2.92286i | 0.0326711 | + | 0.269071i | ||||
\(119\) | 6.04452 | + | 5.80584i | 0.554100 | + | 0.532220i | ||||
\(120\) | 4.44971 | − | 4.63263i | 0.406201 | − | 0.422900i | ||||
\(121\) | 1.19367 | − | 2.51560i | 0.108515 | − | 0.228691i | ||||
\(122\) | 0.860537 | − | 0.593986i | 0.0779093 | − | 0.0537769i | ||||
\(123\) | −12.0836 | + | 19.1087i | −1.08954 | + | 1.72297i | ||||
\(124\) | 1.76081 | + | 2.34321i | 0.158125 | + | 0.210426i | ||||
\(125\) | 5.10667 | + | 9.72995i | 0.456755 | + | 0.870273i | ||||
\(126\) | 0.695084 | − | 3.40475i | 0.0619230 | − | 0.303319i | ||||
\(127\) | 8.71855 | − | 0.703834i | 0.773646 | − | 0.0624552i | 0.312663 | − | 0.949864i | \(-0.398779\pi\) |
0.460983 | + | 0.887409i | \(0.347497\pi\) | |||||||
\(128\) | 11.0201 | + | 3.19201i | 0.974047 | + | 0.282136i | ||||
\(129\) | 16.1955 | + | 8.50004i | 1.42593 | + | 0.748387i | ||||
\(130\) | −2.37382 | − | 0.861428i | −0.208198 | − | 0.0755523i | ||||
\(131\) | −1.29486 | + | 0.679594i | −0.113132 | + | 0.0593764i | −0.520340 | − | 0.853959i | \(-0.674195\pi\) |
0.407208 | + | 0.913336i | \(0.366502\pi\) | |||||||
\(132\) | −11.9324 | + | 2.43602i | −1.03858 | + | 0.212028i | ||||
\(133\) | 0.925332 | + | 0.695342i | 0.0802364 | + | 0.0602938i | ||||
\(134\) | 0.181382 | + | 4.50096i | 0.0156691 | + | 0.388824i | ||||
\(135\) | −0.177382 | + | 0.0672720i | −0.0152666 | + | 0.00578985i | ||||
\(136\) | −7.22311 | + | 2.09220i | −0.619377 | + | 0.179405i | ||||
\(137\) | −3.13300 | − | 0.639606i | −0.267670 | − | 0.0546452i | 0.0643158 | − | 0.997930i | \(-0.479513\pi\) |
−0.331986 | + | 0.943284i | \(0.607719\pi\) | |||||||
\(138\) | 2.29321 | + | 2.58849i | 0.195211 | + | 0.220347i | ||||
\(139\) | 11.2111 | − | 13.7311i | 0.950911 | − | 1.16465i | −0.0353360 | − | 0.999375i | \(-0.511250\pi\) |
0.986247 | − | 0.165279i | \(-0.0528524\pi\) | |||||||
\(140\) | 0.202196 | − | 5.01744i | 0.0170887 | − | 0.424051i | ||||
\(141\) | 4.17193 | + | 12.4965i | 0.351340 | + | 1.05239i | ||||
\(142\) | 0.923395 | − | 0.818056i | 0.0774896 | − | 0.0686498i | ||||
\(143\) | 5.99239 | + | 8.41983i | 0.501109 | + | 0.704102i | ||||
\(144\) | −5.56810 | − | 4.93291i | −0.464008 | − | 0.411075i | ||||
\(145\) | 4.77679 | − | 11.2115i | 0.396690 | − | 0.931067i | ||||
\(146\) | 2.79110 | − | 4.83433i | 0.230993 | − | 0.400092i | ||||
\(147\) | 2.80576 | + | 4.85972i | 0.231415 | + | 0.400823i | ||||
\(148\) | 12.6551 | − | 1.53661i | 1.04025 | − | 0.126309i | ||||
\(149\) | −4.32726 | − | 2.05331i | −0.354503 | − | 0.168214i | 0.243110 | − | 0.969999i | \(-0.421833\pi\) |
−0.597612 | + | 0.801785i | \(0.703884\pi\) | |||||||
\(150\) | −3.57638 | + | 2.06482i | −0.292010 | + | 0.168592i | ||||
\(151\) | −17.2039 | − | 11.8750i | −1.40004 | − | 0.966376i | −0.998727 | − | 0.0504335i | \(-0.983940\pi\) |
−0.401310 | − | 0.915942i | \(-0.631445\pi\) | |||||||
\(152\) | −0.955438 | + | 0.407074i | −0.0774963 | + | 0.0330181i | ||||
\(153\) | 11.6426 | + | 1.89210i | 0.941245 | + | 0.152967i | ||||
\(154\) | 1.95696 | − | 2.60424i | 0.157696 | − | 0.209856i | ||||
\(155\) | 0.806076 | + | 2.12545i | 0.0647456 | + | 0.170720i | ||||
\(156\) | −4.64175 | + | 14.5995i | −0.371637 | + | 1.16889i | ||||
\(157\) | −6.64983 | + | 17.5342i | −0.530715 | + | 1.39938i | 0.354876 | + | 0.934913i | \(0.384523\pi\) |
−0.885591 | + | 0.464466i | \(0.846246\pi\) | |||||||
\(158\) | 3.04371 | + | 4.81325i | 0.242145 | + | 0.382921i | ||||
\(159\) | −18.8794 | − | 8.04374i | −1.49723 | − | 0.637910i | ||||
\(160\) | 5.85191 | + | 3.70052i | 0.462634 | + | 0.292552i | ||||
\(161\) | 5.79282 | + | 0.703376i | 0.456538 | + | 0.0554338i | ||||
\(162\) | 1.80933 | + | 4.24664i | 0.142154 | + | 0.333648i | ||||
\(163\) | −7.05967 | + | 21.1463i | −0.552956 | + | 1.65630i | 0.185999 | + | 0.982550i | \(0.440448\pi\) |
−0.738955 | + | 0.673755i | \(0.764680\pi\) | |||||||
\(164\) | −14.8277 | − | 5.62340i | −1.15785 | − | 0.439114i | ||||
\(165\) | −9.41440 | − | 0.760009i | −0.732910 | − | 0.0591666i | ||||
\(166\) | 1.88851 | − | 6.51990i | 0.146577 | − | 0.506042i | ||||
\(167\) | −1.82413 | − | 0.0735097i | −0.141155 | − | 0.00568835i | −0.0304122 | − | 0.999537i | \(-0.509682\pi\) |
−0.110743 | + | 0.993849i | \(0.535323\pi\) | |||||||
\(168\) | 10.4233 | 0.804179 | ||||||||
\(169\) | 12.9224 | − | 1.41830i | 0.994031 | − | 0.109100i | ||||
\(170\) | −2.70191 | −0.207227 | ||||||||
\(171\) | 1.62766 | + | 0.0655923i | 0.124470 | + | 0.00501597i | ||||
\(172\) | −3.56935 | + | 12.3228i | −0.272160 | + | 0.939606i | ||||
\(173\) | −1.72813 | − | 0.139509i | −0.131387 | − | 0.0106067i | 0.0145981 | − | 0.999893i | \(-0.495353\pi\) |
−0.145985 | + | 0.989287i | \(0.546635\pi\) | |||||||
\(174\) | 10.9578 | + | 4.15574i | 0.830708 | + | 0.315046i | ||||
\(175\) | −2.20666 | + | 6.60976i | −0.166808 | + | 0.499651i | ||||
\(176\) | −2.73338 | − | 6.41548i | −0.206036 | − | 0.483585i | ||||
\(177\) | 13.7516 | + | 1.66975i | 1.03363 | + | 0.125506i | ||||
\(178\) | −1.01515 | − | 0.641943i | −0.0760889 | − | 0.0481157i | ||||
\(179\) | 10.3845 | + | 4.42441i | 0.776172 | + | 0.330696i | 0.743470 | − | 0.668769i | \(-0.233179\pi\) |
0.0327016 | + | 0.999465i | \(0.489589\pi\) | |||||||
\(180\) | −3.77710 | − | 5.97301i | −0.281529 | − | 0.445202i | ||||
\(181\) | −6.94215 | + | 18.3049i | −0.516006 | + | 1.36060i | 0.383441 | + | 0.923565i | \(0.374739\pi\) |
−0.899447 | + | 0.437030i | \(0.856030\pi\) | |||||||
\(182\) | −1.66024 | − | 3.74637i | −0.123065 | − | 0.277699i | ||||
\(183\) | −1.74449 | − | 4.59984i | −0.128956 | − | 0.340030i | ||||
\(184\) | −3.14536 | + | 4.18572i | −0.231879 | + | 0.308575i | ||||
\(185\) | 9.75871 | + | 1.58594i | 0.717475 | + | 0.116601i | ||||
\(186\) | −2.01107 | + | 0.856836i | −0.147459 | + | 0.0628263i | ||||
\(187\) | 9.10003 | + | 6.28129i | 0.665460 | + | 0.459334i | ||||
\(188\) | −8.00278 | + | 4.62041i | −0.583663 | + | 0.336978i | ||||
\(189\) | −0.278119 | − | 0.131969i | −0.0202302 | − | 0.00959933i | ||||
\(190\) | −0.370424 | + | 0.0449776i | −0.0268734 | + | 0.00326302i | ||||
\(191\) | −3.03816 | − | 5.26225i | −0.219834 | − | 0.380763i | 0.734923 | − | 0.678150i | \(-0.237218\pi\) |
−0.954757 | + | 0.297387i | \(0.903885\pi\) | |||||||
\(192\) | 2.65887 | − | 4.60530i | 0.191887 | − | 0.332359i | ||||
\(193\) | 5.28618 | − | 12.4071i | 0.380508 | − | 0.893084i | −0.614086 | − | 0.789239i | \(-0.710475\pi\) |
0.994593 | − | 0.103845i | \(-0.0331146\pi\) | |||||||
\(194\) | −4.51811 | − | 4.00270i | −0.324382 | − | 0.287377i | ||||
\(195\) | −6.60791 | + | 9.87400i | −0.473202 | + | 0.707092i | ||||
\(196\) | −2.94616 | + | 2.61007i | −0.210440 | + | 0.186434i | ||||
\(197\) | −8.24732 | − | 24.7037i | −0.587597 | − | 1.76007i | −0.647722 | − | 0.761877i | \(-0.724278\pi\) |
0.0601247 | − | 0.998191i | \(-0.480850\pi\) | |||||||
\(198\) | 0.184602 | − | 4.58085i | 0.0131191 | − | 0.325547i | ||||
\(199\) | 8.39919 | − | 10.2871i | 0.595403 | − | 0.729236i | −0.385721 | − | 0.922615i | \(-0.626047\pi\) |
0.981124 | + | 0.193379i | \(0.0619448\pi\) | |||||||
\(200\) | −4.14610 | − | 4.67998i | −0.293174 | − | 0.330925i | ||||
\(201\) | 20.7652 | + | 4.23925i | 1.46467 | + | 0.299014i | ||||
\(202\) | 3.85168 | − | 1.11565i | 0.271003 | − | 0.0784971i | ||||
\(203\) | 18.4902 | − | 7.01242i | 1.29776 | − | 0.492175i | ||||
\(204\) | 0.660004 | + | 16.3778i | 0.0462095 | + | 1.14668i | ||||
\(205\) | −9.83218 | − | 7.38840i | −0.686709 | − | 0.516028i | ||||
\(206\) | 3.91632 | − | 0.799522i | 0.272863 | − | 0.0557053i | ||||
\(207\) | 7.27177 | − | 3.81652i | 0.505423 | − | 0.265266i | ||||
\(208\) | −8.72246 | − | 0.932015i | −0.604794 | − | 0.0646236i | ||||
\(209\) | 1.35215 | + | 0.709662i | 0.0935300 | + | 0.0490883i | ||||
\(210\) | 3.59721 | + | 1.04194i | 0.248231 | + | 0.0719009i | ||||
\(211\) | −25.0707 | + | 2.02392i | −1.72594 | + | 0.139332i | −0.903238 | − | 0.429139i | \(-0.858817\pi\) |
−0.822703 | + | 0.568471i | \(0.807535\pi\) | |||||||
\(212\) | 2.87921 | − | 14.1033i | 0.197745 | − | 0.968617i | ||||
\(213\) | −2.69730 | − | 5.13928i | −0.184816 | − | 0.352138i | ||||
\(214\) | −2.51941 | − | 3.35272i | −0.172223 | − | 0.229187i | ||||
\(215\) | −5.31781 | + | 8.40944i | −0.362672 | + | 0.573519i | ||||
\(216\) | 0.227317 | − | 0.156906i | 0.0154670 | − | 0.0106761i | ||||
\(217\) | −1.58130 | + | 3.33252i | −0.107346 | + | 0.226226i | ||||
\(218\) | −3.09462 | + | 3.22184i | −0.209594 | + | 0.218211i | ||||
\(219\) | −18.9413 | − | 18.1933i | −1.27993 | − | 1.22939i | ||||
\(220\) | −0.798547 | − | 6.57662i | −0.0538380 | − | 0.443396i | ||||
\(221\) | 12.4793 | − | 6.14291i | 0.839447 | − | 0.413217i | ||||
\(222\) | −1.14601 | + | 9.43827i | −0.0769154 | + | 0.633455i | ||||
\(223\) | 6.82478 | − | 5.57226i | 0.457021 | − | 0.373146i | −0.375789 | − | 0.926705i | \(-0.622628\pi\) |
0.832810 | + | 0.553559i | \(0.186731\pi\) | |||||||
\(224\) | 2.24732 | + | 11.0081i | 0.150156 | + | 0.735510i | ||||
\(225\) | 2.72848 | + | 9.41981i | 0.181899 | + | 0.627988i | ||||
\(226\) | 1.80757 | + | 7.33359i | 0.120238 | + | 0.487823i | ||||
\(227\) | 1.88008 | − | 23.2889i | 0.124785 | − | 1.54574i | −0.567049 | − | 0.823684i | \(-0.691915\pi\) |
0.691834 | − | 0.722057i | \(-0.256803\pi\) | |||||||
\(228\) | 0.363119 | + | 2.23436i | 0.0240482 | + | 0.147974i | ||||
\(229\) | −2.91834 | + | 3.29413i | −0.192849 | + | 0.217682i | −0.836980 | − | 0.547234i | \(-0.815681\pi\) |
0.644130 | + | 0.764916i | \(0.277219\pi\) | |||||||
\(230\) | −1.50391 | + | 1.13012i | −0.0991651 | + | 0.0745177i | ||||
\(231\) | −9.69310 | − | 11.8719i | −0.637759 | − | 0.781113i | ||||
\(232\) | −2.84625 | + | 17.5137i | −0.186865 | + | 1.14983i | ||||
\(233\) | −28.2493 | − | 6.96282i | −1.85067 | − | 0.456150i | −0.852853 | − | 0.522151i | \(-0.825130\pi\) |
−0.997820 | + | 0.0660014i | \(0.978976\pi\) | |||||||
\(234\) | −4.91805 | − | 3.01186i | −0.321503 | − | 0.196891i | ||||
\(235\) | −6.95844 | + | 1.71510i | −0.453919 | + | 0.111881i | ||||
\(236\) | 0.781853 | + | 9.68499i | 0.0508943 | + | 0.630439i | ||||
\(237\) | 25.4146 | − | 8.48465i | 1.65086 | − | 0.551137i | ||||
\(238\) | −3.03716 | − | 3.16202i | −0.196870 | − | 0.204964i | ||||
\(239\) | 17.3646i | 1.12322i | 0.827402 | + | 0.561610i | \(0.189818\pi\) | ||||
−0.827402 | + | 0.561610i | \(0.810182\pi\) | |||||||
\(240\) | 5.78195 | − | 5.55364i | 0.373223 | − | 0.358486i | ||||
\(241\) | −1.59000 | − | 1.29819i | −0.102421 | − | 0.0836239i | 0.579851 | − | 0.814722i | \(-0.303111\pi\) |
−0.682272 | + | 0.731098i | \(0.739008\pi\) | |||||||
\(242\) | −0.676917 | + | 1.28976i | −0.0435139 | + | 0.0829087i | ||||
\(243\) | 21.8560 | − | 3.55195i | 1.40206 | − | 0.227858i | ||||
\(244\) | 2.91646 | − | 1.84426i | 0.186707 | − | 0.118067i | ||||
\(245\) | −2.75785 | + | 1.30862i | −0.176193 | + | 0.0836046i | ||||
\(246\) | 6.71858 | − | 9.73354i | 0.428361 | − | 0.620588i | ||||
\(247\) | 1.60861 | − | 1.04991i | 0.102354 | − | 0.0668042i | ||||
\(248\) | −1.88010 | − | 2.72379i | −0.119386 | − | 0.172961i | ||||
\(249\) | −27.6574 | − | 15.9680i | −1.75272 | − | 1.01193i | ||||
\(250\) | −2.46430 | − | 5.19340i | −0.155856 | − | 0.328459i | ||||
\(251\) | −3.46447 | − | 1.15661i | −0.218675 | − | 0.0730045i | 0.205220 | − | 0.978716i | \(-0.434209\pi\) |
−0.423895 | + | 0.905711i | \(0.639337\pi\) | |||||||
\(252\) | 2.74439 | − | 11.1344i | 0.172881 | − | 0.701404i | ||||
\(253\) | 7.69242 | − | 0.309994i | 0.483618 | − | 0.0194891i | ||||
\(254\) | −4.57200 | + | 0.184245i | −0.286873 | + | 0.0115606i | ||||
\(255\) | −3.04220 | + | 12.3427i | −0.190510 | + | 0.772930i | ||||
\(256\) | −1.59409 | − | 0.532187i | −0.0996309 | − | 0.0332617i | ||||
\(257\) | 0.116309 | + | 0.245117i | 0.00725518 | + | 0.0152900i | 0.907046 | − | 0.421032i | \(-0.138332\pi\) |
−0.899791 | + | 0.436322i | \(0.856281\pi\) | |||||||
\(258\) | −8.28630 | − | 4.78410i | −0.515883 | − | 0.297845i | ||||
\(259\) | 9.11354 | + | 13.2032i | 0.566288 | + | 0.820410i | ||||
\(260\) | −7.71295 | − | 3.15591i | −0.478337 | − | 0.195721i | ||||
\(261\) | 15.8098 | − | 22.9044i | 0.978601 | − | 1.41775i | ||||
\(262\) | 0.691135 | − | 0.327947i | 0.0426984 | − | 0.0202607i | ||||
\(263\) | −15.7272 | + | 9.94530i | −0.969783 | + | 0.613254i | −0.922651 | − | 0.385635i | \(-0.873982\pi\) |
−0.0471317 | + | 0.998889i | \(0.515008\pi\) | |||||||
\(264\) | 13.5735 | − | 2.20592i | 0.835394 | − | 0.135765i | ||||
\(265\) | 5.18787 | − | 9.88467i | 0.318689 | − | 0.607210i | ||||
\(266\) | −0.469023 | − | 0.382945i | −0.0287576 | − | 0.0234799i | ||||
\(267\) | −4.07549 | + | 3.91456i | −0.249416 | + | 0.239567i | ||||
\(268\) | 14.8655i | 0.908058i | ||||||||
\(269\) | 7.40191 | + | 7.70621i | 0.451303 | + | 0.469856i | 0.907518 | − | 0.420014i | \(-0.137975\pi\) |
−0.456215 | + | 0.889870i | \(0.650795\pi\) | |||||||
\(270\) | 0.0941341 | − | 0.0314266i | 0.00572882 | − | 0.00191256i | ||||
\(271\) | 1.33150 | + | 16.4935i | 0.0808826 | + | 1.00191i | 0.902166 | + | 0.431390i | \(0.141977\pi\) |
−0.821283 | + | 0.570521i | \(0.806741\pi\) | |||||||
\(272\) | −9.11293 | + | 2.24614i | −0.552553 | + | 0.136192i | ||||
\(273\) | −18.9833 | + | 3.36598i | −1.14892 | + | 0.203719i | ||||
\(274\) | 1.62414 | + | 0.400314i | 0.0981178 | + | 0.0241839i | ||||
\(275\) | −1.47473 | + | 9.07440i | −0.0889298 | + | 0.547207i | ||||
\(276\) | 7.21765 | + | 8.84002i | 0.434452 | + | 0.532107i | ||||
\(277\) | −16.0193 | + | 12.0377i | −0.962505 | + | 0.723276i | −0.960950 | − | 0.276723i | \(-0.910752\pi\) |
−0.00155560 | + | 0.999999i | \(0.500495\pi\) | |||||||
\(278\) | −6.14924 | + | 6.94106i | −0.368807 | + | 0.416297i | ||||
\(279\) | 0.832736 | + | 5.12403i | 0.0498546 | + | 0.306768i | ||||
\(280\) | −0.456256 | + | 5.65175i | −0.0272665 | + | 0.337757i | ||||
\(281\) | −6.25788 | − | 25.3892i | −0.373314 | − | 1.51459i | −0.794300 | − | 0.607526i | \(-0.792162\pi\) |
0.420986 | − | 0.907067i | \(-0.361684\pi\) | |||||||
\(282\) | −1.91743 | − | 6.61975i | −0.114182 | − | 0.394200i | ||||
\(283\) | 2.06777 | + | 10.1286i | 0.122916 | + | 0.602085i | 0.993855 | + | 0.110692i | \(0.0353068\pi\) |
−0.870938 | + | 0.491392i | \(0.836488\pi\) | |||||||
\(284\) | 3.15350 | − | 2.57476i | 0.187126 | − | 0.152784i | ||||
\(285\) | −0.211613 | + | 1.74279i | −0.0125349 | + | 0.103234i | ||||
\(286\) | −2.95485 | − | 4.52726i | −0.174724 | − | 0.267702i | ||||
\(287\) | −2.40557 | − | 19.8116i | −0.141996 | − | 1.16944i | ||||
\(288\) | 11.4036 | + | 10.9533i | 0.671963 | + | 0.645429i | ||||
\(289\) | −1.46709 | + | 1.52741i | −0.0862997 | + | 0.0898475i | ||||
\(290\) | −2.73298 | + | 5.75963i | −0.160486 | + | 0.338217i | ||||
\(291\) | −23.3720 | + | 16.1325i | −1.37009 | + | 0.945706i | ||||
\(292\) | 9.84577 | − | 15.5698i | 0.576180 | − | 0.911156i | ||||
\(293\) | 2.59287 | + | 3.45049i | 0.151477 | + | 0.201580i | 0.868802 | − | 0.495159i | \(-0.164890\pi\) |
−0.717325 | + | 0.696739i | \(0.754634\pi\) | |||||||
\(294\) | −1.36420 | − | 2.59927i | −0.0795619 | − | 0.151592i | ||||
\(295\) | −1.50731 | + | 7.38331i | −0.0877592 | + | 0.429873i | ||||
\(296\) | −14.3481 | + | 1.15830i | −0.833964 | + | 0.0673246i | ||||
\(297\) | −0.390102 | − | 0.112994i | −0.0226360 | − | 0.00655660i | ||||
\(298\) | 2.21860 | + | 1.16441i | 0.128520 | + | 0.0674525i | ||||
\(299\) | 4.37673 | − | 8.63886i | 0.253113 | − | 0.499598i | ||||
\(300\) | −12.0671 | + | 6.33331i | −0.696695 | + | 0.365654i | ||||
\(301\) | −15.8191 | + | 3.22950i | −0.911799 | + | 0.186145i | ||||
\(302\) | 8.74234 | + | 6.56944i | 0.503065 | + | 0.378029i | ||||
\(303\) | −0.759676 | − | 18.8512i | −0.0436422 | − | 1.08297i | ||||
\(304\) | −1.21196 | + | 0.459637i | −0.0695109 | + | 0.0263620i | ||||
\(305\) | 2.57049 | − | 0.744551i | 0.147186 | − | 0.0426329i | ||||
\(306\) | −6.04569 | − | 1.23424i | −0.345609 | − | 0.0705566i | ||||
\(307\) | −7.43648 | − | 8.39405i | −0.424422 | − | 0.479074i | 0.496937 | − | 0.867787i | \(-0.334458\pi\) |
−0.921359 | + | 0.388713i | \(0.872920\pi\) | |||||||
\(308\) | 6.79893 | − | 8.32718i | 0.387405 | − | 0.474485i | ||||
\(309\) | 0.757231 | − | 18.7905i | 0.0430773 | − | 1.06895i | ||||
\(310\) | −0.376564 | − | 1.12795i | −0.0213874 | − | 0.0640631i | ||||
\(311\) | −13.7492 | + | 12.1807i | −0.779643 | + | 0.690703i | −0.955917 | − | 0.293638i | \(-0.905134\pi\) |
0.176274 | + | 0.984341i | \(0.443596\pi\) | |||||||
\(312\) | 5.90087 | − | 16.2609i | 0.334071 | − | 0.920591i | ||||
\(313\) | 18.9958 | + | 16.8288i | 1.07371 | + | 0.951222i | 0.998942 | − | 0.0459792i | \(-0.0146408\pi\) |
0.0747652 | + | 0.997201i | \(0.476179\pi\) | |||||||
\(314\) | 3.84520 | − | 9.02501i | 0.216997 | − | 0.509311i | ||||
\(315\) | 4.44686 | − | 7.70219i | 0.250552 | − | 0.433969i | ||||
\(316\) | 9.39675 | + | 16.2756i | 0.528608 | + | 0.915576i | ||||
\(317\) | −19.8160 | + | 2.40610i | −1.11298 | + | 0.135140i | −0.656305 | − | 0.754496i | \(-0.727881\pi\) |
−0.456671 | + | 0.889636i | \(0.650958\pi\) | |||||||
\(318\) | 9.69877 | + | 4.60212i | 0.543880 | + | 0.258074i | ||||
\(319\) | 22.5944 | − | 13.0449i | 1.26504 | − | 0.730373i | ||||
\(320\) | 2.38070 | + | 1.64328i | 0.133085 | + | 0.0918620i | ||||
\(321\) | −18.1524 | + | 7.73401i | −1.01317 | + | 0.431671i | ||||
\(322\) | −3.01308 | − | 0.489674i | −0.167913 | − | 0.0272884i | ||||
\(323\) | 1.23469 | − | 1.64308i | 0.0687002 | − | 0.0914234i | ||||
\(324\) | 5.40177 | + | 14.2433i | 0.300098 | + | 0.791294i | ||||
\(325\) | 9.06228 | + | 7.18441i | 0.502685 | + | 0.398519i | ||||
\(326\) | 4.13550 | − | 10.9044i | 0.229044 | − | 0.603940i | ||||
\(327\) | 11.2334 | + | 17.7643i | 0.621210 | + | 0.982365i | ||||
\(328\) | 16.4737 | + | 7.01879i | 0.909608 | + | 0.387548i | ||||
\(329\) | −9.82901 | − | 6.21549i | −0.541891 | − | 0.342671i | ||||
\(330\) | 4.90488 | + | 0.595561i | 0.270005 | + | 0.0327845i | ||||
\(331\) | −6.54746 | − | 15.3675i | −0.359881 | − | 0.844672i | −0.997250 | − | 0.0741129i | \(-0.976387\pi\) |
0.637369 | − | 0.770559i | \(-0.280023\pi\) | |||||||
\(332\) | 7.09354 | − | 21.2478i | 0.389309 | − | 1.16612i | ||||
\(333\) | 21.1112 | + | 8.00643i | 1.15689 | + | 0.438750i | ||||
\(334\) | 0.951919 | + | 0.0768468i | 0.0520867 | + | 0.00420487i | ||||
\(335\) | −3.20755 | + | 11.0738i | −0.175247 | + | 0.605024i | ||||
\(336\) | 12.9987 | + | 0.523831i | 0.709139 | + | 0.0285773i | ||||
\(337\) | 22.5456 | 1.22814 | 0.614068 | − | 0.789253i | \(-0.289532\pi\) | ||||
0.614068 | + | 0.789253i | \(0.289532\pi\) | |||||||
\(338\) | −6.78439 | + | 0.469146i | −0.369022 | + | 0.0255182i | ||||
\(339\) | 35.5361 | 1.93005 | ||||||||
\(340\) | −8.90928 | − | 0.359032i | −0.483174 | − | 0.0194712i | ||||
\(341\) | −1.35394 | + | 4.67434i | −0.0733199 | + | 0.253130i | ||||
\(342\) | −0.849391 | − | 0.0685699i | −0.0459298 | − | 0.00370784i | ||||
\(343\) | −18.8512 | − | 7.14930i | −1.01787 | − | 0.386026i | ||||
\(344\) | 4.58741 | − | 13.7410i | 0.247337 | − | 0.740864i | ||||
\(345\) | 3.46921 | + | 8.14253i | 0.186776 | + | 0.438379i | ||||
\(346\) | 0.900350 | + | 0.109322i | 0.0484031 | + | 0.00587720i | ||||
\(347\) | 9.94155 | + | 6.28666i | 0.533690 | + | 0.337485i | 0.773974 | − | 0.633217i | \(-0.218266\pi\) |
−0.240284 | + | 0.970703i | \(0.577240\pi\) | |||||||
\(348\) | 35.5800 | + | 15.1592i | 1.90729 | + | 0.812619i | ||||
\(349\) | −16.7211 | − | 26.4423i | −0.895060 | − | 1.41542i | −0.909580 | − | 0.415529i | \(-0.863596\pi\) |
0.0145201 | − | 0.999895i | \(-0.495378\pi\) | |||||||
\(350\) | 1.29265 | − | 3.40843i | 0.0690949 | − | 0.182188i | ||||
\(351\) | −0.363326 | + | 0.359167i | −0.0193929 | + | 0.0191709i | ||||
\(352\) | 5.25619 | + | 13.8594i | 0.280156 | + | 0.738711i | ||||
\(353\) | −12.6942 | + | 16.8929i | −0.675646 | + | 0.899121i | −0.998886 | − | 0.0471960i | \(-0.984971\pi\) |
0.323240 | + | 0.946317i | \(0.395228\pi\) | |||||||
\(354\) | −7.15277 | − | 1.16244i | −0.380166 | − | 0.0617829i | ||||
\(355\) | 2.90469 | − | 1.23757i | 0.154165 | − | 0.0656835i | ||||
\(356\) | −3.26206 | − | 2.25164i | −0.172889 | − | 0.119336i | ||||
\(357\) | −17.8642 | + | 10.3139i | −0.945475 | + | 0.545870i | ||||
\(358\) | −5.33475 | − | 2.53137i | −0.281950 | − | 0.133787i | ||||
\(359\) | 19.1563 | − | 2.32599i | 1.01103 | − | 0.122761i | 0.401777 | − | 0.915737i | \(-0.368393\pi\) |
0.609253 | + | 0.792976i | \(0.291470\pi\) | |||||||
\(360\) | 3.98996 | + | 6.91081i | 0.210289 | + | 0.364232i | ||||
\(361\) | −9.35808 | + | 16.2087i | −0.492530 | + | 0.853088i | ||||
\(362\) | 4.01422 | − | 9.42173i | 0.210983 | − | 0.495195i | ||||
\(363\) | 5.12962 | + | 4.54444i | 0.269235 | + | 0.238521i | ||||
\(364\) | −4.97664 | − | 12.5739i | −0.260847 | − | 0.659050i | ||||
\(365\) | 10.6939 | − | 9.47397i | 0.559744 | − | 0.495890i | ||||
\(366\) | 0.814951 | + | 2.44108i | 0.0425982 | + | 0.127597i | ||||
\(367\) | 1.08546 | − | 26.9353i | 0.0566603 | − | 1.40601i | −0.681713 | − | 0.731620i | \(-0.738765\pi\) |
0.738373 | − | 0.674392i | \(-0.235594\pi\) | |||||||
\(368\) | −4.13287 | + | 5.06185i | −0.215441 | + | 0.263867i | ||||
\(369\) | −18.6250 | − | 21.0233i | −0.969581 | − | 1.09443i | ||||
\(370\) | −5.06745 | − | 1.03453i | −0.263444 | − | 0.0537826i | ||||
\(371\) | 17.3995 | − | 5.03983i | 0.903338 | − | 0.261655i | ||||
\(372\) | −6.74515 | + | 2.55810i | −0.349720 | + | 0.132631i | ||||
\(373\) | 0.875994 | + | 21.7376i | 0.0453572 | + | 1.12553i | 0.848315 | + | 0.529492i | \(0.177617\pi\) |
−0.802958 | + | 0.596036i | \(0.796742\pi\) | |||||||
\(374\) | −4.62426 | − | 3.47490i | −0.239115 | − | 0.179683i | ||||
\(375\) | −26.4988 | + | 5.40977i | −1.36839 | + | 0.279359i | ||||
\(376\) | 9.23925 | − | 4.84913i | 0.476478 | − | 0.250075i | ||||
\(377\) | −0.471985 | − | 32.8154i | −0.0243085 | − | 1.69008i | ||||
\(378\) | 0.142592 | + | 0.0748383i | 0.00733416 | + | 0.00384926i | ||||
\(379\) | 24.3246 | + | 7.04572i | 1.24947 | + | 0.361914i | 0.836064 | − | 0.548631i | \(-0.184851\pi\) |
0.413409 | + | 0.910546i | \(0.364338\pi\) | |||||||
\(380\) | −1.22741 | + | 0.0990869i | −0.0629649 | + | 0.00508305i | ||||
\(381\) | −4.30616 | + | 21.0930i | −0.220611 | + | 1.08063i | ||||
\(382\) | 1.47720 | + | 2.81457i | 0.0755800 | + | 0.144006i | ||||
\(383\) | −14.1527 | − | 18.8338i | −0.723170 | − | 0.962364i | −0.999999 | − | 0.00144517i | \(-0.999540\pi\) |
0.276829 | − | 0.960919i | \(-0.410716\pi\) | |||||||
\(384\) | −15.0921 | + | 23.8662i | −0.770163 | + | 1.21792i | ||||
\(385\) | 6.86147 | − | 4.73613i | 0.349693 | − | 0.241376i | ||||
\(386\) | −3.02442 | + | 6.37383i | −0.153939 | + | 0.324420i | ||||
\(387\) | −15.7403 | + | 16.3874i | −0.800127 | + | 0.833020i | ||||
\(388\) | −14.3661 | − | 13.7989i | −0.729330 | − | 0.700531i | ||||
\(389\) | 2.14639 | + | 17.6771i | 0.108826 | + | 0.896265i | 0.940217 | + | 0.340576i | \(0.110622\pi\) |
−0.831391 | + | 0.555689i | \(0.812455\pi\) | |||||||
\(390\) | 3.66193 | − | 5.02193i | 0.185429 | − | 0.254295i | ||||
\(391\) | 1.24896 | − | 10.2861i | 0.0631626 | − | 0.520191i | ||||
\(392\) | 3.44269 | − | 2.81087i | 0.173882 | − | 0.141970i | ||||
\(393\) | −0.719930 | − | 3.52645i | −0.0363156 | − | 0.177886i | ||||
\(394\) | 3.79050 | + | 13.0863i | 0.190963 | + | 0.659279i | ||||
\(395\) | 3.48808 | + | 14.1517i | 0.175505 | + | 0.712050i | ||||
\(396\) | 1.21741 | − | 15.0804i | 0.0611773 | − | 0.757817i | ||||
\(397\) | 2.46841 | + | 15.1888i | 0.123886 | + | 0.762302i | 0.972433 | + | 0.233182i | \(0.0749137\pi\) |
−0.848547 | + | 0.529120i | \(0.822522\pi\) | |||||||
\(398\) | −4.60693 | + | 5.20015i | −0.230925 | + | 0.260660i | ||||
\(399\) | −2.27744 | + | 1.71138i | −0.114015 | + | 0.0856764i | ||||
\(400\) | −4.93532 | − | 6.04467i | −0.246766 | − | 0.302234i | ||||
\(401\) | −4.26171 | + | 26.2233i | −0.212820 | + | 1.30953i | 0.632204 | + | 0.774802i | \(0.282150\pi\) |
−0.845023 | + | 0.534729i | \(0.820414\pi\) | |||||||
\(402\) | −10.7646 | − | 2.65325i | −0.536892 | − | 0.132332i | ||||
\(403\) | 4.30366 | + | 4.35350i | 0.214381 | + | 0.216863i | ||||
\(404\) | 12.8488 | − | 3.16694i | 0.639250 | − | 0.157561i | ||||
\(405\) | 0.950638 | + | 11.7758i | 0.0472376 | + | 0.585142i | ||||
\(406\) | −9.81252 | + | 3.27590i | −0.486987 | + | 0.162580i | ||||
\(407\) | 14.6621 | + | 15.2649i | 0.726774 | + | 0.756652i | ||||
\(408\) | − | 18.5084i | − | 0.916301i | ||||||
\(409\) | 5.33382 | − | 5.12320i | 0.263740 | − | 0.253326i | −0.549176 | − | 0.835707i | \(-0.685058\pi\) |
0.812916 | + | 0.582381i | \(0.197879\pi\) | |||||||
\(410\) | 4.98363 | + | 4.06901i | 0.246124 | + | 0.200954i | ||||
\(411\) | 3.65738 | − | 6.96856i | 0.180405 | − | 0.343734i | ||||
\(412\) | 13.0199 | − | 2.11594i | 0.641444 | − | 0.104245i | ||||
\(413\) | −10.3350 | + | 6.53543i | −0.508550 | + | 0.321588i | ||||
\(414\) | −3.88133 | + | 1.84172i | −0.190757 | + | 0.0905154i | ||||
\(415\) | 9.86882 | − | 14.2975i | 0.484441 | − | 0.701834i | ||||
\(416\) | 18.4454 | + | 2.72599i | 0.904360 | + | 0.133653i | ||||
\(417\) | 24.7840 | + | 35.9058i | 1.21368 | + | 1.75832i | ||||
\(418\) | −0.691817 | − | 0.399421i | −0.0338379 | − | 0.0195363i | ||||
\(419\) | −2.45599 | − | 5.17589i | −0.119983 | − | 0.252859i | 0.834569 | − | 0.550904i | \(-0.185717\pi\) |
−0.954552 | + | 0.298045i | \(0.903666\pi\) | |||||||
\(420\) | 11.7230 | + | 3.91370i | 0.572022 | + | 0.190969i | ||||
\(421\) | 3.52027 | − | 14.2823i | 0.171568 | − | 0.696077i | −0.820636 | − | 0.571451i | \(-0.806381\pi\) |
0.992204 | − | 0.124626i | \(-0.0397732\pi\) | |||||||
\(422\) | 13.1471 | − | 0.529809i | 0.639989 | − | 0.0257907i | ||||
\(423\) | −16.3534 | + | 0.659019i | −0.795129 | + | 0.0320426i | ||||
\(424\) | −3.88971 | + | 15.7812i | −0.188901 | + | 0.766401i | ||||
\(425\) | 11.7367 | + | 3.91829i | 0.569315 | + | 0.190065i | ||||
\(426\) | 1.30162 | + | 2.74311i | 0.0630637 | + | 0.132904i | ||||
\(427\) | 3.76077 | + | 2.17128i | 0.181997 | + | 0.105076i | ||||
\(428\) | −7.86197 | − | 11.3900i | −0.380023 | − | 0.550558i | ||||
\(429\) | −24.0081 | + | 8.40074i | −1.15912 | + | 0.405591i | ||||
\(430\) | 2.95675 | − | 4.28359i | 0.142587 | − | 0.206573i | ||||
\(431\) | 15.9132 | − | 7.55089i | 0.766510 | − | 0.363714i | −0.00495288 | − | 0.999988i | \(-0.501577\pi\) |
0.771463 | + | 0.636274i | \(0.219525\pi\) | |||||||
\(432\) | 0.291367 | − | 0.184250i | 0.0140184 | − | 0.00886471i | ||||
\(433\) | −22.1353 | + | 3.59734i | −1.06376 | + | 0.172877i | −0.667008 | − | 0.745051i | \(-0.732425\pi\) |
−0.396748 | + | 0.917928i | \(0.629861\pi\) | |||||||
\(434\) | 0.896738 | − | 1.70859i | 0.0430448 | − | 0.0820150i | ||||
\(435\) | 23.2336 | + | 18.9696i | 1.11397 | + | 0.909524i | ||||
\(436\) | −10.6323 | + | 10.2125i | −0.509195 | + | 0.489089i | ||||
\(437\) | − | 1.43098i | − | 0.0684533i | ||||||
\(438\) | 9.51734 | + | 9.90860i | 0.454756 | + | 0.473451i | ||||
\(439\) | −15.3155 | + | 5.11308i | −0.730970 | + | 0.244034i | −0.657702 | − | 0.753278i | \(-0.728471\pi\) |
−0.0732687 | + | 0.997312i | \(0.523343\pi\) | |||||||
\(440\) | 0.601944 | + | 7.45641i | 0.0286965 | + | 0.355470i | ||||
\(441\) | −6.76864 | + | 1.66832i | −0.322316 | + | 0.0794438i | ||||
\(442\) | −6.65229 | + | 2.94802i | −0.316417 | + | 0.140223i | ||||
\(443\) | 14.2938 | + | 3.52311i | 0.679120 | + | 0.167388i | 0.563764 | − | 0.825936i | \(-0.309353\pi\) |
0.115356 | + | 0.993324i | \(0.463199\pi\) | |||||||
\(444\) | −5.03302 | + | 30.9694i | −0.238857 | + | 1.46974i | ||||
\(445\) | −1.94416 | − | 2.38116i | −0.0921619 | − | 0.112878i | ||||
\(446\) | −3.68467 | + | 2.76885i | −0.174474 | + | 0.131109i | ||||
\(447\) | 7.81720 | − | 8.82380i | 0.369741 | − | 0.417351i | ||||
\(448\) | 0.752982 | + | 4.63328i | 0.0355750 | + | 0.218902i | ||||
\(449\) | 2.35392 | − | 29.1585i | 0.111088 | − | 1.37608i | −0.665656 | − | 0.746259i | \(-0.731848\pi\) |
0.776744 | − | 0.629817i | \(-0.216870\pi\) | |||||||
\(450\) | −1.22775 | − | 4.98119i | −0.0578769 | − | 0.234816i | ||||
\(451\) | −7.32538 | − | 25.2901i | −0.344939 | − | 1.19087i | ||||
\(452\) | 4.98578 | + | 24.4219i | 0.234511 | + | 1.14871i | ||||
\(453\) | 39.8535 | − | 32.5394i | 1.87248 | − | 1.52883i | ||||
\(454\) | −1.47327 | + | 12.1335i | −0.0691441 | + | 0.569453i | ||||
\(455\) | −0.994159 | − | 10.4404i | −0.0466069 | − | 0.489455i | ||||
\(456\) | −0.308101 | − | 2.53744i | −0.0144281 | − | 0.118827i | ||||
\(457\) | −21.7842 | − | 20.9240i | −1.01902 | − | 0.978783i | −0.0192422 | − | 0.999815i | \(-0.506125\pi\) |
−0.999779 | + | 0.0210319i | \(0.993305\pi\) | |||||||
\(458\) | 1.59480 | − | 1.66036i | 0.0745201 | − | 0.0775837i | ||||
\(459\) | −0.234333 | + | 0.493846i | −0.0109377 | + | 0.0230507i | ||||
\(460\) | −5.10917 | + | 3.52661i | −0.238216 | + | 0.164429i | ||||
\(461\) | −3.18945 | + | 5.04371i | −0.148548 | + | 0.234909i | −0.911263 | − | 0.411825i | \(-0.864891\pi\) |
0.762715 | + | 0.646734i | \(0.223866\pi\) | |||||||
\(462\) | 4.81650 | + | 6.40959i | 0.224084 | + | 0.298201i | ||||
\(463\) | −15.9401 | − | 30.3714i | −0.740801 | − | 1.41148i | −0.905157 | − | 0.425077i | \(-0.860247\pi\) |
0.164356 | − | 0.986401i | \(-0.447445\pi\) | |||||||
\(464\) | −4.42965 | + | 21.6979i | −0.205641 | + | 1.00730i | ||||
\(465\) | −5.57661 | + | 0.450190i | −0.258609 | + | 0.0208771i | ||||
\(466\) | 14.6192 | + | 4.23450i | 0.677221 | + | 0.196159i | ||||
\(467\) | 0.697910 | + | 0.366291i | 0.0322954 | + | 0.0169499i | 0.480794 | − | 0.876834i | \(-0.340349\pi\) |
−0.448498 | + | 0.893784i | \(0.648041\pi\) | |||||||
\(468\) | −15.8166 | − | 10.5848i | −0.731121 | − | 0.489283i | ||||
\(469\) | −16.5650 | + | 8.69401i | −0.764903 | + | 0.401452i | ||||
\(470\) | 3.67329 | − | 0.749908i | 0.169436 | − | 0.0345907i | ||||
\(471\) | −36.8980 | − | 27.7270i | −1.70017 | − | 1.27759i | ||||
\(472\) | −0.441781 | − | 10.9627i | −0.0203346 | − | 0.504598i | ||||
\(473\) | −19.9166 | + | 7.55337i | −0.915766 | + | 0.347304i | ||||
\(474\) | −13.4629 | + | 3.89958i | −0.618372 | + | 0.179114i | ||||
\(475\) | 1.67429 | + | 0.341810i | 0.0768219 | + | 0.0156833i | ||||
\(476\) | −9.59457 | − | 10.8300i | −0.439766 | − | 0.496393i | ||||
\(477\) | 16.1235 | − | 19.7477i | 0.738244 | − | 0.904185i | ||||
\(478\) | 0.365768 | − | 9.07643i | 0.0167298 | − | 0.415146i | ||||
\(479\) | 4.71708 | + | 14.1294i | 0.215529 | + | 0.645587i | 0.999687 | + | 0.0250262i | \(0.00796691\pi\) |
−0.784158 | + | 0.620561i | \(0.786905\pi\) | |||||||
\(480\) | −12.7553 | + | 11.3002i | −0.582197 | + | 0.515781i | ||||
\(481\) | 25.7570 | − | 6.74290i | 1.17442 | − | 0.307450i | ||||
\(482\) | 0.803743 | + | 0.712055i | 0.0366095 | + | 0.0324332i | ||||
\(483\) | −5.62946 | + | 13.2128i | −0.256149 | + | 0.601204i | ||||
\(484\) | −2.40345 | + | 4.16289i | −0.109248 | + | 0.189222i | ||||
\(485\) | −7.72433 | − | 13.3789i | −0.350744 | − | 0.607506i | ||||
\(486\) | −11.4989 | + | 1.39622i | −0.521602 | + | 0.0633339i | ||||
\(487\) | −6.67079 | − | 3.16533i | −0.302282 | − | 0.143435i | 0.271510 | − | 0.962436i | \(-0.412477\pi\) |
−0.573792 | + | 0.819001i | \(0.694528\pi\) | |||||||
\(488\) | −3.37436 | + | 1.94819i | −0.152750 | + | 0.0881903i | ||||
\(489\) | −45.1565 | − | 31.1693i | −2.04205 | − | 1.40952i | ||||
\(490\) | 1.46909 | − | 0.625921i | 0.0663667 | − | 0.0282762i | ||||
\(491\) | −13.6560 | − | 2.21932i | −0.616287 | − | 0.100156i | −0.155749 | − | 0.987797i | \(-0.549779\pi\) |
−0.460538 | + | 0.887640i | \(0.652343\pi\) | |||||||
\(492\) | 23.4472 | − | 31.2026i | 1.05708 | − | 1.40672i | ||||
\(493\) | −12.4517 | − | 32.8324i | −0.560796 | − | 1.47870i | ||||
\(494\) | −0.862934 | + | 0.514903i | −0.0388252 | + | 0.0231666i | ||||
\(495\) | 4.16079 | − | 10.9711i | 0.187013 | − | 0.493114i | ||||
\(496\) | −2.20774 | − | 3.49126i | −0.0991306 | − | 0.156762i | ||||
\(497\) | 4.71342 | + | 2.00820i | 0.211426 | + | 0.0900800i | ||||
\(498\) | 14.1201 | + | 8.92904i | 0.632739 | + | 0.400120i | ||||
\(499\) | 19.6426 | + | 2.38504i | 0.879323 | + | 0.106769i | 0.547732 | − | 0.836654i | \(-0.315491\pi\) |
0.331591 | + | 0.943423i | \(0.392414\pi\) | |||||||
\(500\) | −7.43567 | − | 17.4521i | −0.332533 | − | 0.780484i | ||||
\(501\) | 1.42285 | − | 4.26197i | 0.0635684 | − | 0.190411i | ||||
\(502\) | 1.78651 | + | 0.677533i | 0.0797357 | + | 0.0302398i | ||||
\(503\) | 40.1297 | + | 3.23960i | 1.78929 | + | 0.144447i | 0.930124 | − | 0.367245i | \(-0.119699\pi\) |
0.859169 | + | 0.511692i | \(0.170981\pi\) | |||||||
\(504\) | −3.60262 | + | 12.4377i | −0.160474 | + | 0.554019i | ||||
\(505\) | 10.2547 | + | 0.413252i | 0.456330 | + | 0.0183895i | ||||
\(506\) | −4.02734 | −0.179037 | ||||||||
\(507\) | −5.49572 | + | 31.5203i | −0.244074 | + | 1.39986i | ||||
\(508\) | −15.1002 | −0.669962 | ||||||||
\(509\) | 27.8460 | + | 1.12216i | 1.23425 | + | 0.0497387i | 0.648795 | − | 0.760963i | \(-0.275273\pi\) |
0.585459 | + | 0.810702i | \(0.300914\pi\) | |||||||
\(510\) | 1.85014 | − | 6.38743i | 0.0819257 | − | 0.282840i | ||||
\(511\) | 23.1081 | + | 1.86548i | 1.02224 | + | 0.0825238i | ||||
\(512\) | −20.6330 | − | 7.82505i | −0.911857 | − | 0.345822i | ||||
\(513\) | −0.0239054 | + | 0.0716055i | −0.00105545 | + | 0.00316146i | ||||
\(514\) | −0.0556315 | − | 0.130572i | −0.00245380 | − | 0.00575928i | ||||
\(515\) | 10.1554 | + | 1.23309i | 0.447502 | + | 0.0543365i | ||||
\(516\) | −26.6875 | − | 16.8762i | −1.17485 | − | 0.742931i | ||||
\(517\) | −14.1150 | − | 6.01383i | −0.620776 | − | 0.264488i | ||||
\(518\) | −4.48552 | − | 7.09328i | −0.197082 | − | 0.311661i | ||||
\(519\) | 1.51314 | − | 3.98983i | 0.0664196 | − | 0.175134i | ||||
\(520\) | 8.55868 | + | 3.91135i | 0.375323 | + | 0.171524i | ||||
\(521\) | −14.3337 | − | 37.7948i | −0.627969 | − | 1.65582i | −0.748520 | − | 0.663112i | \(-0.769235\pi\) |
0.120551 | − | 0.992707i | \(-0.461534\pi\) | |||||||
\(522\) | −8.74620 | + | 11.6391i | −0.382811 | + | 0.509429i | ||||
\(523\) | 23.7183 | + | 3.85459i | 1.03713 | + | 0.168549i | 0.655053 | − | 0.755583i | \(-0.272646\pi\) |
0.382073 | + | 0.924132i | \(0.375210\pi\) | |||||||
\(524\) | 2.32252 | − | 0.989535i | 0.101460 | − | 0.0432280i | ||||
\(525\) | −14.1147 | − | 9.74269i | −0.616017 | − | 0.425206i | ||||
\(526\) | 8.43009 | − | 4.86711i | 0.367569 | − | 0.212216i | ||||
\(527\) | 5.91743 | + | 2.80786i | 0.257767 | + | 0.122312i | ||||
\(528\) | 17.0381 | − | 2.06880i | 0.741490 | − | 0.0900332i | ||||
\(529\) | 7.89286 | + | 13.6708i | 0.343168 | + | 0.594384i | ||||
\(530\) | −2.91990 | + | 5.05742i | −0.126833 | + | 0.219680i | ||||
\(531\) | −6.74541 | + | 15.8321i | −0.292726 | + | 0.687053i | ||||
\(532\) | −1.49567 | − | 1.32505i | −0.0648454 | − | 0.0574480i | ||||
\(533\) | −32.2689 | − | 7.46298i | −1.39772 | − | 0.323258i | ||||
\(534\) | 2.21271 | − | 1.96029i | 0.0957532 | − | 0.0848299i | ||||
\(535\) | −3.39896 | − | 10.1811i | −0.146950 | − | 0.440169i | ||||
\(536\) | 0.675893 | − | 16.7721i | 0.0291941 | − | 0.724445i | ||||
\(537\) | −17.5703 | + | 21.5197i | −0.758213 | + | 0.928642i | ||||
\(538\) | −3.70664 | − | 4.18394i | −0.159805 | − | 0.180382i | ||||
\(539\) | −6.40300 | − | 1.30718i | −0.275797 | − | 0.0563043i | ||||
\(540\) | 0.314573 | − | 0.0911173i | 0.0135371 | − | 0.00392107i | ||||
\(541\) | 18.3602 | − | 6.96311i | 0.789367 | − | 0.299367i | 0.0732191 | − | 0.997316i | \(-0.476673\pi\) |
0.716148 | + | 0.697948i | \(0.245904\pi\) | |||||||
\(542\) | −0.348550 | − | 8.64918i | −0.0149715 | − | 0.371514i | ||||
\(543\) | −38.5200 | − | 28.9459i | −1.65305 | − | 1.24219i | ||||
\(544\) | 19.5467 | − | 3.99049i | 0.838058 | − | 0.171091i | ||||
\(545\) | −10.1238 | + | 5.31341i | −0.433658 | + | 0.227601i | ||||
\(546\) | 9.99342 | − | 1.35953i | 0.427679 | − | 0.0581825i | ||||
\(547\) | −16.3542 | − | 8.58334i | −0.699255 | − | 0.366997i | 0.0773339 | − | 0.997005i | \(-0.475359\pi\) |
−0.776589 | + | 0.630008i | \(0.783052\pi\) | |||||||
\(548\) | 5.30224 | + | 1.53581i | 0.226500 | + | 0.0656066i | ||||
\(549\) | 6.09173 | − | 0.491775i | 0.259989 | − | 0.0209885i | ||||
\(550\) | 0.961984 | − | 4.71211i | 0.0410192 | − | 0.200925i | ||||
\(551\) | −2.25364 | − | 4.29395i | −0.0960082 | − | 0.182928i | ||||
\(552\) | −7.74141 | − | 10.3019i | −0.329496 | − | 0.438480i | ||||
\(553\) | −12.6407 | + | 19.9897i | −0.537539 | + | 0.850049i | ||||
\(554\) | 8.62681 | − | 5.95466i | 0.366518 | − | 0.252989i | ||||
\(555\) | −10.4315 | + | 21.9840i | −0.442794 | + | 0.933169i | ||||
\(556\) | −21.1988 | + | 22.0703i | −0.899030 | + | 0.935990i | ||||
\(557\) | −17.1650 | − | 16.4872i | −0.727306 | − | 0.698587i | 0.234562 | − | 0.972101i | \(-0.424634\pi\) |
−0.961868 | + | 0.273514i | \(0.911814\pi\) | |||||||
\(558\) | −0.327337 | − | 2.69586i | −0.0138573 | − | 0.114125i | ||||
\(559\) | −3.91737 | + | 26.5068i | −0.165687 | + | 1.12112i | ||||
\(560\) | −0.853019 | + | 7.02524i | −0.0360466 | + | 0.296871i | ||||
\(561\) | −21.0805 | + | 17.2117i | −0.890019 | + | 0.726678i | ||||
\(562\) | 2.73618 | + | 13.4027i | 0.115419 | + | 0.565359i | ||||
\(563\) | −1.24054 | − | 4.28286i | −0.0522827 | − | 0.180501i | 0.930127 | − | 0.367237i | \(-0.119696\pi\) |
−0.982410 | + | 0.186736i | \(0.940209\pi\) | |||||||
\(564\) | −5.44291 | − | 22.0827i | −0.229188 | − | 0.929851i | ||||
\(565\) | −1.55550 | + | 19.2684i | −0.0654405 | + | 0.810626i | ||||
\(566\) | −0.867472 | − | 5.33777i | −0.0364626 | − | 0.224363i | ||||
\(567\) | −12.7125 | + | 14.3494i | −0.533873 | + | 0.602618i | ||||
\(568\) | −3.67502 | + | 2.76160i | −0.154200 | + | 0.115874i | ||||
\(569\) | 5.45240 | + | 6.67797i | 0.228576 | + | 0.279955i | 0.876141 | − | 0.482056i | \(-0.160110\pi\) |
−0.647564 | + | 0.762011i | \(0.724212\pi\) | |||||||
\(570\) | 0.147320 | − | 0.906496i | 0.00617055 | − | 0.0379689i | ||||
\(571\) | 22.7038 | + | 5.59599i | 0.950126 | + | 0.234185i | 0.683777 | − | 0.729691i | \(-0.260336\pi\) |
0.266349 | + | 0.963877i | \(0.414182\pi\) | |||||||
\(572\) | −9.14174 | − | 15.3208i | −0.382236 | − | 0.640595i | ||||
\(573\) | 14.5206 | − | 3.57900i | 0.606605 | − | 0.149515i | ||||
\(574\) | 0.840074 | + | 10.4062i | 0.0350640 | + | 0.434346i | ||||
\(575\) | 8.17167 | − | 2.72810i | 0.340782 | − | 0.113770i | ||||
\(576\) | 4.57630 | + | 4.76444i | 0.190679 | + | 0.198518i | ||||
\(577\) | 42.9103i | 1.78638i | 0.449681 | + | 0.893189i | \(0.351538\pi\) | ||||
−0.449681 | + | 0.893189i | \(0.648462\pi\) | |||||||
\(578\) | 0.799021 | − | 0.767470i | 0.0332349 | − | 0.0319225i | ||||
\(579\) | 25.7112 | + | 20.9926i | 1.06852 | + | 0.872421i | ||||
\(580\) | −9.77706 | + | 18.6286i | −0.405970 | + | 0.773511i | ||||
\(581\) | 27.8255 | − | 4.52208i | 1.15440 | − | 0.187608i | ||||
\(582\) | 12.5563 | − | 7.94014i | 0.520477 | − | 0.329129i | ||||
\(583\) | 21.5915 | − | 10.2453i | 0.894228 | − | 0.424317i | ||||
\(584\) | −11.8164 | + | 17.1191i | −0.488968 | + | 0.708392i | ||||
\(585\) | −9.49830 | − | 11.2977i | −0.392706 | − | 0.467101i | ||||
\(586\) | −1.28261 | − | 1.85818i | −0.0529841 | − | 0.0767607i | ||||
\(587\) | −10.4315 | − | 6.02265i | −0.430556 | − | 0.248582i | 0.269028 | − | 0.963132i | \(-0.413298\pi\) |
−0.699583 | + | 0.714551i | \(0.746631\pi\) | |||||||
\(588\) | −4.15292 | − | 8.75210i | −0.171264 | − | 0.360931i | ||||
\(589\) | 0.858002 | + | 0.286443i | 0.0353534 | + | 0.0118027i | ||||
\(590\) | 0.943393 | − | 3.82749i | 0.0388389 | − | 0.157575i | ||||
\(591\) | 64.0480 | − | 2.58105i | 2.63458 | − | 0.106170i | ||||
\(592\) | −17.9514 | + | 0.723416i | −0.737797 | + | 0.0297322i | ||||
\(593\) | −5.82404 | + | 23.6291i | −0.239165 | + | 0.970329i | 0.721455 | + | 0.692461i | \(0.243474\pi\) |
−0.960619 | + | 0.277867i | \(0.910372\pi\) | |||||||
\(594\) | 0.201526 | + | 0.0672791i | 0.00826870 | + | 0.00276050i | ||||
\(595\) | −4.81045 | − | 10.1378i | −0.197209 | − | 0.415610i | ||||
\(596\) | 7.16087 | + | 4.13433i | 0.293321 | + | 0.169349i | ||||
\(597\) | 18.5678 | + | 26.9002i | 0.759931 | + | 1.10095i | ||||
\(598\) | −2.46968 | + | 4.42333i | −0.100993 | + | 0.180883i | ||||
\(599\) | −9.42939 | + | 13.6608i | −0.385275 | + | 0.558167i | −0.966856 | − | 0.255321i | \(-0.917819\pi\) |
0.581582 | + | 0.813488i | \(0.302434\pi\) | |||||||
\(600\) | 13.9027 | − | 6.59693i | 0.567576 | − | 0.269318i | ||||
\(601\) | 17.2466 | − | 10.9061i | 0.703505 | − | 0.444869i | −0.134228 | − | 0.990951i | \(-0.542855\pi\) |
0.837732 | + | 0.546081i | \(0.183881\pi\) | |||||||
\(602\) | 8.33665 | − | 1.35484i | 0.339777 | − | 0.0552191i | ||||
\(603\) | −12.2356 | + | 23.3130i | −0.498272 | + | 0.949377i | ||||
\(604\) | 27.9540 | + | 22.8237i | 1.13743 | + | 0.928685i | ||||
\(605\) | −2.68862 | + | 2.58246i | −0.109308 | + | 0.104992i | ||||
\(606\) | 9.86947i | 0.400920i | ||||||||
\(607\) | 0.470458 | + | 0.489798i | 0.0190953 | + | 0.0198803i | 0.730682 | − | 0.682718i | \(-0.239202\pi\) |
−0.711586 | + | 0.702599i | \(0.752023\pi\) | |||||||
\(608\) | 2.61337 | − | 0.872470i | 0.105986 | − | 0.0353833i | ||||
\(609\) | 3.91641 | + | 48.5134i | 0.158701 | + | 1.96586i | ||||
\(610\) | −1.35927 | + | 0.335031i | −0.0550354 | + | 0.0135650i | ||||
\(611\) | −15.2608 | + | 11.8150i | −0.617387 | + | 0.477982i | ||||
\(612\) | −19.7710 | − | 4.87312i | −0.799197 | − | 0.196984i | ||||
\(613\) | −1.12454 | + | 6.91959i | −0.0454199 | + | 0.279480i | −0.999818 | − | 0.0190558i | \(-0.993934\pi\) |
0.954399 | + | 0.298535i | \(0.0964981\pi\) | |||||||
\(614\) | 3.71022 | + | 4.54420i | 0.149732 | + | 0.183389i | ||||
\(615\) | 24.1991 | − | 18.1844i | 0.975801 | − | 0.733267i | ||||
\(616\) | −8.04953 | + | 9.08604i | −0.324325 | + | 0.366087i | ||||
\(617\) | 2.34753 | + | 14.4450i | 0.0945082 | + | 0.581532i | 0.990506 | + | 0.137473i | \(0.0438980\pi\) |
−0.895997 | + | 0.444059i | \(0.853538\pi\) | |||||||
\(618\) | −0.791606 | + | 9.80580i | −0.0318431 | + | 0.394447i | ||||
\(619\) | −4.58716 | − | 18.6108i | −0.184374 | − | 0.748033i | −0.988200 | − | 0.153169i | \(-0.951052\pi\) |
0.803826 | − | 0.594864i | \(-0.202794\pi\) | |||||||
\(620\) | −1.09180 | − | 3.76933i | −0.0438477 | − | 0.151380i | ||||
\(621\) | 0.0761266 | + | 0.372893i | 0.00305486 | + | 0.0149637i | ||||
\(622\) | 7.44323 | − | 6.07721i | 0.298446 | − | 0.243674i | ||||
\(623\) | 0.601263 | − | 4.95184i | 0.0240891 | − | 0.198391i | ||||
\(624\) | 8.17604 | − | 19.9820i | 0.327304 | − | 0.799922i | ||||
\(625\) | 0.159712 | + | 1.31535i | 0.00638849 | + | 0.0526140i | ||||
\(626\) | −9.57460 | − | 9.19653i | −0.382678 | − | 0.367567i | ||||
\(627\) | −2.60355 | + | 2.71059i | −0.103976 | + | 0.108250i | ||||
\(628\) | 13.8784 | − | 29.2481i | 0.553808 | − | 1.16713i | ||||
\(629\) | 23.4445 | − | 16.1826i | 0.934795 | − | 0.645242i | ||||
\(630\) | −2.48661 | + | 3.93225i | −0.0990688 | + | 0.156665i | ||||
\(631\) | 23.5740 | + | 31.3713i | 0.938465 | + | 1.24887i | 0.968421 | + | 0.249319i | \(0.0802068\pi\) |
−0.0299561 | + | 0.999551i | \(0.509537\pi\) | |||||||
\(632\) | −9.86191 | − | 18.7903i | −0.392286 | − | 0.747438i | ||||
\(633\) | 12.3826 | − | 60.6541i | 0.492165 | − | 2.41079i | ||||
\(634\) | 10.4085 | − | 0.840258i | 0.413373 | − | 0.0333709i | ||||
\(635\) | −11.2485 | − | 3.25818i | −0.446384 | − | 0.129297i | ||||
\(636\) | 31.3692 | + | 16.4638i | 1.24387 | + | 0.652833i | ||||
\(637\) | −5.36221 | + | 6.23097i | −0.212458 | + | 0.246880i | ||||
\(638\) | −12.0848 | + | 6.34261i | −0.478443 | + | 0.251106i | ||||
\(639\) | 7.06473 | − | 1.44228i | 0.279477 | − | 0.0570555i | ||||
\(640\) | −12.2801 | − | 9.22790i | −0.485414 | − | 0.364765i | ||||
\(641\) | 1.58922 | + | 39.4361i | 0.0627704 | + | 1.55763i | 0.657345 | + | 0.753590i | \(0.271680\pi\) |
−0.594574 | + | 0.804041i | \(0.702679\pi\) | |||||||
\(642\) | 9.65114 | − | 3.66019i | 0.380900 | − | 0.144456i | ||||
\(643\) | −5.53593 | + | 1.60350i | −0.218316 | + | 0.0632359i | −0.385573 | − | 0.922677i | \(-0.625996\pi\) |
0.167257 | + | 0.985913i | \(0.446509\pi\) | |||||||
\(644\) | −9.87026 | − | 2.01503i | −0.388943 | − | 0.0794032i | ||||
\(645\) | −16.2389 | − | 18.3299i | −0.639405 | − | 0.721739i | ||||
\(646\) | −0.679982 | + | 0.832827i | −0.0267535 | + | 0.0327671i | ||||
\(647\) | −0.959221 | + | 23.8028i | −0.0377109 | + | 0.935786i | 0.864012 | + | 0.503471i | \(0.167944\pi\) |
−0.901723 | + | 0.432315i | \(0.857697\pi\) | |||||||
\(648\) | −5.44696 | − | 16.3156i | −0.213977 | − | 0.640939i | ||||
\(649\) | −12.0753 | + | 10.6978i | −0.473998 | + | 0.419926i | ||||
\(650\) | −4.58551 | − | 3.94617i | −0.179858 | − | 0.154781i | ||||
\(651\) | −6.79540 | − | 6.02020i | −0.266333 | − | 0.235950i | ||||
\(652\) | 15.0854 | − | 35.4067i | 0.590789 | − | 1.38663i | ||||
\(653\) | 9.92813 | − | 17.1960i | 0.388518 | − | 0.672932i | −0.603733 | − | 0.797187i | \(-0.706321\pi\) |
0.992250 | + | 0.124255i | \(0.0396540\pi\) | |||||||
\(654\) | −5.49751 | − | 9.52197i | −0.214970 | − | 0.372338i | ||||
\(655\) | 1.94362 | − | 0.235999i | 0.0759437 | − | 0.00922123i | ||||
\(656\) | 20.1913 | + | 9.58088i | 0.788337 | + | 0.374070i | ||||
\(657\) | 28.2559 | − | 16.3136i | 1.10237 | − | 0.636453i | ||||
\(658\) | 5.00668 | + | 3.45586i | 0.195181 | + | 0.134724i | ||||
\(659\) | −34.8519 | + | 14.8490i | −1.35764 | + | 0.578435i | −0.943377 | − | 0.331723i | \(-0.892370\pi\) |
−0.414260 | + | 0.910158i | \(0.635960\pi\) | |||||||
\(660\) | 16.0942 | + | 2.61556i | 0.626466 | + | 0.101811i | ||||
\(661\) | 13.0580 | − | 17.3770i | 0.507897 | − | 0.675888i | −0.470553 | − | 0.882372i | \(-0.655946\pi\) |
0.978450 | + | 0.206483i | \(0.0662019\pi\) | |||||||
\(662\) | 3.09865 | + | 8.17046i | 0.120432 | + | 0.317554i | ||||
\(663\) | 5.97686 | + | 33.7079i | 0.232122 | + | 1.30911i | ||||
\(664\) | −8.96939 | + | 23.6503i | −0.348080 | + | 0.917811i | ||||
\(665\) | −0.828258 | − | 1.30978i | −0.0321185 | − | 0.0507913i | ||||
\(666\) | −10.8662 | − | 4.62964i | −0.421055 | − | 0.179395i | ||||
\(667\) | −20.6634 | − | 13.0668i | −0.800091 | − | 0.505947i | ||||
\(668\) | 3.12864 | + | 0.379886i | 0.121051 | + | 0.0146982i | ||||
\(669\) | 8.49976 | + | 19.9497i | 0.328620 | + | 0.771298i | ||||
\(670\) | 1.90984 | − | 5.72067i | 0.0737835 | − | 0.221009i | ||||
\(671\) | 5.35689 | + | 2.03160i | 0.206800 | + | 0.0784290i | ||||
\(672\) | −27.5625 | − | 2.22507i | −1.06325 | − | 0.0858341i | ||||
\(673\) | 4.14153 | − | 14.2982i | 0.159644 | − | 0.551156i | −0.840315 | − | 0.542099i | \(-0.817630\pi\) |
0.999959 | − | 0.00905705i | \(-0.00288299\pi\) | |||||||
\(674\) | −11.7845 | − | 0.474900i | −0.453923 | − | 0.0182925i | ||||
\(675\) | −0.454480 | −0.0174929 | ||||||||
\(676\) | −22.4332 | + | 0.645448i | −0.862814 | + | 0.0248249i | ||||
\(677\) | 30.0793 | 1.15604 | 0.578020 | − | 0.816023i | \(-0.303826\pi\) | ||||
0.578020 | + | 0.816023i | \(0.303826\pi\) | |||||||
\(678\) | −18.5746 | − | 0.748532i | −0.713355 | − | 0.0287472i | ||||
\(679\) | 6.97448 | − | 24.0787i | 0.267656 | − | 0.924056i | ||||
\(680\) | 10.0356 | + | 0.810158i | 0.384848 | + | 0.0310681i | ||||
\(681\) | 53.7686 | + | 20.3917i | 2.06042 | + | 0.781413i | ||||
\(682\) | 0.806162 | − | 2.41475i | 0.0308695 | − | 0.0924656i | ||||
\(683\) | 12.9502 | + | 30.3953i | 0.495527 | + | 1.16304i | 0.960641 | + | 0.277793i | \(0.0896030\pi\) |
−0.465114 | + | 0.885251i | \(0.653987\pi\) | |||||||
\(684\) | −2.79167 | − | 0.338970i | −0.106742 | − | 0.0129608i | ||||
\(685\) | 3.61840 | + | 2.28814i | 0.138252 | + | 0.0874252i | ||||
\(686\) | 9.70288 | + | 4.13401i | 0.370458 | + | 0.157837i | ||||
\(687\) | −5.78911 | − | 9.15474i | −0.220868 | − | 0.349275i | ||||
\(688\) | 6.41142 | − | 16.9055i | 0.244433 | − | 0.644517i | ||||
\(689\) | 1.98786 | − | 29.9971i | 0.0757315 | − | 1.14280i | ||||
\(690\) | −1.64183 | − | 4.32916i | −0.0625036 | − | 0.164808i | ||||
\(691\) | −22.4943 | + | 29.9344i | −0.855723 | + | 1.13876i | 0.133312 | + | 0.991074i | \(0.457439\pi\) |
−0.989034 | + | 0.147686i | \(0.952818\pi\) | |||||||
\(692\) | 2.95428 | + | 0.480118i | 0.112305 | + | 0.0182513i | ||||
\(693\) | 17.5164 | − | 7.46305i | 0.665393 | − | 0.283498i | ||||
\(694\) | −5.06401 | − | 3.49543i | −0.192227 | − | 0.132685i | ||||
\(695\) | −20.5537 | + | 11.8667i | −0.779647 | + | 0.450129i | ||||
\(696\) | −39.4540 | − | 18.7212i | −1.49550 | − | 0.709624i | ||||
\(697\) | −35.1788 | + | 4.27148i | −1.33249 | + | 0.161794i | ||||
\(698\) | 8.18311 | + | 14.1736i | 0.309735 | + | 0.536477i | ||||
\(699\) | 35.8042 | − | 62.0146i | 1.35424 | − | 2.34561i | ||||
\(700\) | 4.71529 | − | 11.0672i | 0.178221 | − | 0.418300i | ||||
\(701\) | 20.0737 | + | 17.7838i | 0.758173 | + | 0.671683i | 0.950875 | − | 0.309574i | \(-0.100187\pi\) |
−0.192702 | + | 0.981257i | \(0.561725\pi\) | |||||||
\(702\) | 0.197475 | − | 0.180083i | 0.00745323 | − | 0.00679679i | ||||
\(703\) | 2.94479 | − | 2.60885i | 0.111065 | − | 0.0983948i | ||||
\(704\) | 1.96110 | + | 5.87422i | 0.0739119 | + | 0.221393i | ||||
\(705\) | 0.710241 | − | 17.6245i | 0.0267492 | − | 0.663775i | ||||
\(706\) | 6.99108 | − | 8.56252i | 0.263113 | − | 0.322255i | ||||
\(707\) | 11.0435 | + | 12.4655i | 0.415334 | + | 0.468815i | ||||
\(708\) | −23.4311 | − | 4.78349i | −0.880593 | − | 0.179774i | ||||
\(709\) | −14.6475 | + | 4.24270i | −0.550099 | + | 0.159338i | −0.541616 | − | 0.840626i | \(-0.682187\pi\) |
−0.00848281 | + | 0.999964i | \(0.502700\pi\) | |||||||
\(710\) | −1.54434 | + | 0.585692i | −0.0579582 | + | 0.0219806i | ||||
\(711\) | 1.34028 | + | 33.2587i | 0.0502643 | + | 1.24730i | ||||
\(712\) | 3.57805 | + | 2.68873i | 0.134093 | + | 0.100765i | ||||
\(713\) | 4.46813 | − | 0.912176i | 0.167333 | − | 0.0341612i | ||||
\(714\) | 9.55486 | − | 5.01478i | 0.357581 | − | 0.187673i | ||||
\(715\) | −3.50415 | − | 13.3854i | −0.131048 | − | 0.500586i | ||||
\(716\) | −17.2544 | − | 9.05581i | −0.644828 | − | 0.338432i | ||||
\(717\) | −41.0505 | − | 11.8904i | −1.53306 | − | 0.444056i | ||||
\(718\) | −10.0619 | + | 0.812285i | −0.375509 | + | 0.0303142i | ||||
\(719\) | −5.34203 | + | 26.1670i | −0.199224 | + | 0.975863i | 0.750042 | + | 0.661390i | \(0.230033\pi\) |
−0.949266 | + | 0.314474i | \(0.898172\pi\) | |||||||
\(720\) | 4.62848 | + | 8.81884i | 0.172493 | + | 0.328659i | ||||
\(721\) | 9.97243 | + | 13.2709i | 0.371393 | + | 0.494234i | ||||
\(722\) | 5.23287 | − | 8.27512i | 0.194747 | − | 0.307968i | ||||
\(723\) | 4.15773 | − | 2.86988i | 0.154628 | − | 0.106732i | ||||
\(724\) | 14.4885 | − | 30.5338i | 0.538459 | − | 1.13478i | ||||
\(725\) | 20.2242 | − | 21.0557i | 0.751109 | − | 0.781987i | ||||
\(726\) | −2.58552 | − | 2.48342i | −0.0959575 | − | 0.0921685i | ||||
\(727\) | 1.85088 | + | 15.2434i | 0.0686454 | + | 0.565346i | 0.985935 | + | 0.167126i | \(0.0534488\pi\) |
−0.917290 | + | 0.398220i | \(0.869628\pi\) | |||||||
\(728\) | 5.04322 | + | 14.4128i | 0.186914 | + | 0.534174i | ||||
\(729\) | −3.37818 | + | 27.8218i | −0.125118 | + | 1.03044i | ||||
\(730\) | −5.78924 | + | 4.72677i | −0.214269 | + | 0.174946i | ||||
\(731\) | 5.73450 | + | 28.0895i | 0.212098 | + | 1.03893i | ||||
\(732\) | 2.36285 | + | 8.15749i | 0.0873333 | + | 0.301509i | ||||
\(733\) | −1.78418 | − | 7.23869i | −0.0659001 | − | 0.267367i | 0.928745 | − | 0.370720i | \(-0.120889\pi\) |
−0.994645 | + | 0.103353i | \(0.967043\pi\) | |||||||
\(734\) | −1.13473 | + | 14.0562i | −0.0418837 | + | 0.518823i | ||||
\(735\) | −1.20518 | − | 7.41576i | −0.0444537 | − | 0.273534i | ||||
\(736\) | 9.21082 | − | 10.3969i | 0.339515 | − | 0.383234i | ||||
\(737\) | −19.7315 | + | 14.8273i | −0.726819 | + | 0.546169i | ||||
\(738\) | 9.29244 | + | 11.3812i | 0.342060 | + | 0.418947i | ||||
\(739\) | −2.75886 | + | 16.9760i | −0.101486 | + | 0.624471i | 0.885621 | + | 0.464410i | \(0.153733\pi\) |
−0.987107 | + | 0.160062i | \(0.948831\pi\) | |||||||
\(740\) | −16.5719 | − | 4.08462i | −0.609197 | − | 0.150153i | ||||
\(741\) | 1.38053 | + | 4.52175i | 0.0507150 | + | 0.166111i | ||||
\(742\) | −9.20085 | + | 2.26781i | −0.337774 | + | 0.0832538i | ||||
\(743\) | 0.787335 | + | 9.75289i | 0.0288845 | + | 0.357799i | 0.995014 | + | 0.0997395i | \(0.0318010\pi\) |
−0.966129 | + | 0.258059i | \(0.916917\pi\) | |||||||
\(744\) | 7.72655 | − | 2.57950i | 0.283269 | − | 0.0945691i | ||||
\(745\) | 4.44226 | + | 4.62488i | 0.162752 | + | 0.169443i | ||||
\(746\) | − | 11.3806i | − | 0.416675i | ||||||
\(747\) | 28.6132 | − | 27.4833i | 1.04690 | − | 1.00556i | ||||
\(748\) | −14.7863 | − | 12.0726i | −0.540640 | − | 0.441419i | ||||
\(749\) | 8.09418 | − | 15.4222i | 0.295755 | − | 0.563514i | ||||
\(750\) | 13.9648 | − | 2.26951i | 0.509924 | − | 0.0828706i | ||||
\(751\) | 12.0494 | − | 7.61959i | 0.439690 | − | 0.278043i | −0.296224 | − | 0.955119i | \(-0.595727\pi\) |
0.735913 | + | 0.677076i | \(0.236753\pi\) | |||||||
\(752\) | 11.7658 | − | 5.58292i | 0.429053 | − | 0.203588i | ||||
\(753\) | 5.10657 | − | 7.39814i | 0.186094 | − | 0.269603i | ||||
\(754\) | −0.444519 | + | 17.1625i | −0.0161884 | + | 0.625022i | ||||
\(755\) | 15.8990 | + | 23.0337i | 0.578624 | + | 0.838282i | ||||
\(756\) | 0.460239 | + | 0.265719i | 0.0167387 | + | 0.00966411i | ||||
\(757\) | −7.85847 | − | 16.5614i | −0.285621 | − | 0.601933i | 0.709036 | − | 0.705173i | \(-0.249130\pi\) |
−0.994657 | + | 0.103239i | \(0.967079\pi\) | |||||||
\(758\) | −12.5660 | − | 4.19516i | −0.456419 | − | 0.152375i | ||||
\(759\) | −4.53456 | + | 18.3975i | −0.164594 | + | 0.667785i | ||||
\(760\) | 1.38934 | − | 0.0559884i | 0.0503966 | − | 0.00203091i | ||||
\(761\) | −11.1109 | + | 0.447753i | −0.402769 | + | 0.0162310i | −0.240824 | − | 0.970569i | \(-0.577418\pi\) |
−0.161945 | + | 0.986800i | \(0.551777\pi\) | |||||||
\(762\) | 2.69512 | − | 10.9345i | 0.0976340 | − | 0.396117i | ||||
\(763\) | −17.5982 | − | 5.87515i | −0.637099 | − | 0.212695i | ||||
\(764\) | 4.49691 | + | 9.47703i | 0.162692 | + | 0.342867i | ||||
\(765\) | −13.6765 | − | 7.89614i | −0.494475 | − | 0.285485i | ||||
\(766\) | 7.00088 | + | 10.1425i | 0.252952 | + | 0.366464i | ||||
\(767\) | 4.34473 | + | 19.8228i | 0.156879 | + | 0.715761i | ||||
\(768\) | 2.34967 | − | 3.40409i | 0.0847864 | − | 0.122834i | ||||
\(769\) | 3.45429 | − | 1.63908i | 0.124565 | − | 0.0591068i | −0.365390 | − | 0.930854i | \(-0.619064\pi\) |
0.489955 | + | 0.871748i | \(0.337013\pi\) | |||||||
\(770\) | −3.68624 | + | 2.33104i | −0.132843 | + | 0.0840047i | ||||
\(771\) | −0.659109 | + | 0.107116i | −0.0237372 | + | 0.00385767i | ||||
\(772\) | −10.8197 | + | 20.6152i | −0.389409 | + | 0.741956i | ||||
\(773\) | −26.1529 | − | 21.3532i | −0.940654 | − | 0.768021i | 0.0321897 | − | 0.999482i | \(-0.489752\pi\) |
−0.972844 | + | 0.231461i | \(0.925649\pi\) | |||||||
\(774\) | 8.57264 | − | 8.23413i | 0.308137 | − | 0.295970i | ||||
\(775\) | 5.44573i | 0.195616i | ||||||||
\(776\) | 15.5813 | + | 16.2218i | 0.559334 | + | 0.582329i | ||||
\(777\) | −37.4535 | + | 12.5038i | −1.34364 | + | 0.448572i | ||||
\(778\) | −0.749563 | − | 9.28501i | −0.0268731 | − | 0.332884i | ||||
\(779\) | −4.75180 | + | 1.17121i | −0.170251 | + | 0.0419631i | ||||
\(780\) | 12.7422 | − | 16.0727i | 0.456242 | − | 0.575495i | ||||
\(781\) | 6.56293 | + | 1.61762i | 0.234840 | + | 0.0578829i | ||||
\(782\) | −0.869496 | + | 5.35022i | −0.0310931 | + | 0.191324i | ||||
\(783\) | 0.815696 | + | 0.999047i | 0.0291506 | + | 0.0357030i | ||||
\(784\) | 4.43457 | − | 3.33236i | 0.158377 | − | 0.119013i | ||||
\(785\) | 16.6493 | − | 18.7931i | 0.594238 | − | 0.670756i | ||||
\(786\) | 0.302025 | + | 1.85843i | 0.0107729 | + | 0.0662881i | ||||
\(787\) | 0.666202 | − | 8.25240i | 0.0237476 | − | 0.294166i | −0.973972 | − | 0.226669i | \(-0.927217\pi\) |
0.997719 | − | 0.0674974i | \(-0.0215014\pi\) | |||||||
\(788\) | 10.7599 | + | 43.6545i | 0.383304 | + | 1.55513i | ||||
\(789\) | −12.7418 | − | 43.9899i | −0.453621 | − | 1.56608i | ||||
\(790\) | −1.52512 | − | 7.47055i | −0.0542615 | − | 0.265790i | ||||
\(791\) | −24.2981 | + | 19.8388i | −0.863940 | + | 0.705386i | ||||
\(792\) | −2.05921 | + | 16.9591i | −0.0731708 | + | 0.602616i | ||||
\(793\) | 5.51635 | − | 4.63776i | 0.195891 | − | 0.164692i | ||||
\(794\) | −0.970299 | − | 7.99113i | −0.0344346 | − | 0.283595i | ||||
\(795\) | 19.8153 | + | 19.0329i | 0.702778 | + | 0.675027i | ||||
\(796\) | −15.8819 | + | 16.5348i | −0.562918 | + | 0.586060i | ||||
\(797\) | −5.16669 | + | 10.8886i | −0.183014 | + | 0.385693i | −0.974135 | − | 0.225966i | \(-0.927446\pi\) |
0.791122 | + | 0.611659i | \(0.209498\pi\) | |||||||
\(798\) | 1.22646 | − | 0.846566i | 0.0434163 | − | 0.0299681i | ||||
\(799\) | −11.0366 | + | 17.4530i | −0.390448 | + | 0.617443i | ||||
\(800\) | 9.96452 | + | 13.2604i | 0.352299 | + | 0.468825i | ||||
\(801\) | −3.26245 | − | 6.21608i | −0.115273 | − | 0.219634i | ||||
\(802\) | 2.77996 | − | 13.6171i | 0.0981637 | − | 0.480837i | ||||
\(803\) | 30.4867 | − | 2.46114i | 1.07585 | − | 0.0868518i | ||||
\(804\) | −35.1428 | − | 10.1792i | −1.23939 | − | 0.358994i | ||||
\(805\) | −6.91784 | − | 3.63076i | −0.243822 | − | 0.127968i | ||||
\(806\) | −2.15782 | − | 2.36622i | −0.0760058 | − | 0.0833465i | ||||
\(807\) | −23.2863 | + | 12.2216i | −0.819715 | + | 0.430220i | ||||
\(808\) | −14.6407 | + | 2.98891i | −0.515057 | + | 0.105150i | ||||
\(809\) | 2.95143 | + | 2.21786i | 0.103767 | + | 0.0779757i | 0.651359 | − | 0.758770i | \(-0.274199\pi\) |
−0.547592 | + | 0.836745i | \(0.684456\pi\) | |||||||
\(810\) | −0.248852 | − | 6.17519i | −0.00874376 | − | 0.216974i | ||||
\(811\) | −12.5862 | + | 4.77333i | −0.441962 | + | 0.167614i | −0.565540 | − | 0.824721i | \(-0.691332\pi\) |
0.123578 | + | 0.992335i | \(0.460563\pi\) | |||||||
\(812\) | −32.7911 | + | 9.49805i | −1.15074 | + | 0.333316i | ||||
\(813\) | −39.9031 | − | 8.14628i | −1.39946 | − | 0.285702i | ||||
\(814\) | −7.34233 | − | 8.28777i | −0.257348 | − | 0.290486i | ||||
\(815\) | 18.8772 | − | 23.1204i | 0.661241 | − | 0.809873i | ||||
\(816\) | 0.930148 | − | 23.0814i | 0.0325617 | − | 0.808010i | ||||
\(817\) | 1.25378 | + | 3.75552i | 0.0438641 | + | 0.131389i | ||||
\(818\) | −2.89589 | + | 2.56554i | −0.101252 | + | 0.0897019i | ||||
\(819\) | 2.54471 | − | 23.8152i | 0.0889195 | − | 0.832172i | ||||
\(820\) | 15.8923 | + | 14.0794i | 0.554984 | + | 0.491673i | ||||
\(821\) | 8.69985 | − | 20.4193i | 0.303627 | − | 0.712638i | −0.696360 | − | 0.717692i | \(-0.745198\pi\) |
0.999987 | + | 0.00505395i | \(0.00160873\pi\) | |||||||
\(822\) | −2.05849 | + | 3.56541i | −0.0717982 | + | 0.124358i | ||||
\(823\) | −12.3446 | − | 21.3815i | −0.430306 | − | 0.745312i | 0.566594 | − | 0.823997i | \(-0.308261\pi\) |
−0.996899 | + | 0.0786858i | \(0.974928\pi\) | |||||||
\(824\) | −14.7859 | + | 1.79534i | −0.515093 | + | 0.0625436i | ||||
\(825\) | −20.4424 | − | 9.70005i | −0.711714 | − | 0.337712i | ||||
\(826\) | 5.53973 | − | 3.19836i | 0.192752 | − | 0.111285i | ||||
\(827\) | −3.20706 | − | 2.21367i | −0.111520 | − | 0.0769770i | 0.510999 | − | 0.859581i | \(-0.329276\pi\) |
−0.622520 | + | 0.782604i | \(0.713891\pi\) | |||||||
\(828\) | −13.0430 | + | 5.55711i | −0.453276 | + | 0.193123i | ||||
\(829\) | −15.5679 | − | 2.53003i | −0.540696 | − | 0.0878716i | −0.116071 | − | 0.993241i | \(-0.537030\pi\) |
−0.424625 | + | 0.905369i | \(0.639594\pi\) | |||||||
\(830\) | −5.45958 | + | 7.26538i | −0.189505 | + | 0.252185i | ||||
\(831\) | −17.4884 | − | 46.1131i | −0.606665 | − | 1.59964i | ||||
\(832\) | 7.65440 | + | 1.44831i | 0.265369 | + | 0.0502111i | ||||
\(833\) | −3.11895 | + | 8.22401i | −0.108065 | + | 0.284945i | ||||
\(834\) | −12.1982 | − | 19.2900i | −0.422390 | − | 0.667957i | ||||
\(835\) | 2.24864 | + | 0.958057i | 0.0778175 | + | 0.0331549i | ||||
\(836\) | −2.22812 | − | 1.40898i | −0.0770611 | − | 0.0487305i | ||||
\(837\) | −0.238821 | − | 0.0289981i | −0.00825485 | − | 0.00100232i | ||||
\(838\) | 1.17472 | + | 2.75716i | 0.0405799 | + | 0.0952446i | ||||
\(839\) | −0.0960573 | + | 0.287727i | −0.00331627 | + | 0.00993343i | −0.950182 | − | 0.311697i | \(-0.899103\pi\) |
0.946865 | + | 0.321630i | \(0.104231\pi\) | |||||||
\(840\) | −13.0485 | − | 4.94866i | −0.450217 | − | 0.170745i | ||||
\(841\) | −53.6773 | − | 4.33328i | −1.85094 | − | 0.149423i | ||||
\(842\) | −2.14088 | + | 7.39119i | −0.0737797 | + | 0.254717i | ||||
\(843\) | 64.3062 | + | 2.59145i | 2.21482 | + | 0.0892543i | ||||
\(844\) | 43.4215 | 1.49463 | ||||||||
\(845\) | −16.8504 | − | 4.35961i | −0.579670 | − | 0.149975i | ||||
\(846\) | 8.56177 | 0.294360 | ||||||||
\(847\) | −6.04445 | − | 0.243583i | −0.207690 | − | 0.00836961i | ||||
\(848\) | −5.64386 | + | 19.4849i | −0.193811 | + | 0.669113i | ||||
\(849\) | −25.3604 | − | 2.04730i | −0.870367 | − | 0.0702633i | ||||
\(850\) | −6.05223 | − | 2.29531i | −0.207590 | − | 0.0787284i | ||||
\(851\) | 6.28085 | − | 18.8134i | 0.215305 | − | 0.644917i | ||||
\(852\) | 3.92746 | + | 9.21808i | 0.134552 | + | 0.315806i | ||||
\(853\) | 30.6991 | + | 3.72754i | 1.05112 | + | 0.127629i | 0.627816 | − | 0.778361i | \(-0.283949\pi\) |
0.423299 | + | 0.905990i | \(0.360872\pi\) | |||||||
\(854\) | −1.92001 | − | 1.21414i | −0.0657015 | − | 0.0415471i | ||||
\(855\) | −2.00645 | − | 0.854869i | −0.0686192 | − | 0.0292359i | ||||
\(856\) | 8.35243 | + | 13.2083i | 0.285480 | + | 0.451451i | ||||
\(857\) | 0.806847 | − | 2.12748i | 0.0275614 | − | 0.0726734i | −0.920529 | − | 0.390674i | \(-0.872242\pi\) |
0.948091 | + | 0.318000i | \(0.103011\pi\) | |||||||
\(858\) | 12.7260 | − | 3.88534i | 0.434457 | − | 0.132643i | ||||
\(859\) | −11.8199 | − | 31.1666i | −0.403291 | − | 1.06339i | −0.970772 | − | 0.240004i | \(-0.922851\pi\) |
0.567481 | − | 0.823386i | \(-0.307918\pi\) | |||||||
\(860\) | 10.3188 | − | 13.7318i | 0.351867 | − | 0.468250i | ||||
\(861\) | 48.4828 | + | 7.87921i | 1.65229 | + | 0.268523i | ||||
\(862\) | −8.47684 | + | 3.61164i | −0.288722 | + | 0.123013i | ||||
\(863\) | −22.5697 | − | 15.5788i | −0.768283 | − | 0.530307i | 0.118244 | − | 0.992985i | \(-0.462273\pi\) |
−0.886527 | + | 0.462677i | \(0.846889\pi\) | |||||||
\(864\) | −0.634589 | + | 0.366380i | −0.0215892 | + | 0.0124645i | ||||
\(865\) | 2.09713 | + | 0.995101i | 0.0713046 | + | 0.0338345i | ||||
\(866\) | 11.6459 | − | 1.41406i | 0.395743 | − | 0.0480519i | ||||
\(867\) | −2.60625 | − | 4.51416i | −0.0885130 | − | 0.153309i | ||||
\(868\) | 3.18394 | − | 5.51475i | 0.108070 | − | 0.187183i | ||||
\(869\) | −12.2306 | + | 28.7063i | −0.414895 | + | 0.973795i | ||||
\(870\) | −11.7446 | − | 10.4048i | −0.398179 | − | 0.352755i | ||||
\(871\) | 4.18522 | + | 30.7640i | 0.141811 | + | 1.04240i | ||||
\(872\) | 12.4603 | − | 11.0388i | 0.421958 | − | 0.373822i | ||||
\(873\) | −11.1721 | − | 33.4646i | −0.378120 | − | 1.13261i | ||||
\(874\) | −0.0301423 | + | 0.747973i | −0.00101958 | + | 0.0253006i | ||||
\(875\) | 15.0987 | − | 18.4925i | 0.510428 | − | 0.625161i | ||||
\(876\) | 30.0658 | + | 33.9373i | 1.01583 | + | 1.14663i | ||||
\(877\) | −26.8691 | − | 5.48536i | −0.907304 | − | 0.185227i | −0.276358 | − | 0.961055i | \(-0.589128\pi\) |
−0.630945 | + | 0.775827i | \(0.717333\pi\) | |||||||
\(878\) | 8.11310 | − | 2.34999i | 0.273804 | − | 0.0793083i | ||||
\(879\) | −9.93257 | + | 3.76693i | −0.335017 | + | 0.127055i | ||||
\(880\) | 0.375945 | + | 9.32898i | 0.0126731 | + | 0.314480i | ||||
\(881\) | 22.2245 | + | 16.7006i | 0.748762 | + | 0.562658i | 0.905178 | − | 0.425033i | \(-0.139738\pi\) |
−0.156416 | + | 0.987691i | \(0.549994\pi\) | |||||||
\(882\) | 3.57310 | − | 0.729453i | 0.120312 | − | 0.0245620i | ||||
\(883\) | −15.3493 | + | 8.05596i | −0.516546 | + | 0.271104i | −0.702788 | − | 0.711400i | \(-0.748062\pi\) |
0.186241 | + | 0.982504i | \(0.440369\pi\) | |||||||
\(884\) | −22.3270 | + | 8.83684i | −0.750938 | + | 0.297215i | ||||
\(885\) | −16.4223 | − | 8.61909i | −0.552030 | − | 0.289728i | ||||
\(886\) | −7.39715 | − | 2.14261i | −0.248512 | − | 0.0719824i | ||||
\(887\) | −35.4513 | + | 2.86192i | −1.19034 | + | 0.0960940i | −0.659716 | − | 0.751515i | \(-0.729324\pi\) |
−0.530622 | + | 0.847609i | \(0.678042\pi\) | |||||||
\(888\) | 7.08662 | − | 34.7125i | 0.237811 | − | 1.16488i | ||||
\(889\) | −8.83123 | − | 16.8265i | −0.296190 | − | 0.564343i | ||||
\(890\) | 0.966051 | + | 1.28558i | 0.0323821 | + | 0.0430928i | ||||
\(891\) | −13.5177 | + | 21.3765i | −0.452860 | + | 0.716141i | ||||
\(892\) | −12.5178 | + | 8.64038i | −0.419126 | + | 0.289301i | ||||
\(893\) | −1.22255 | + | 2.57648i | −0.0409112 | + | 0.0862185i | ||||
\(894\) | −4.27190 | + | 4.44752i | −0.142874 | + | 0.148747i | ||||
\(895\) | −10.8993 | − | 10.4689i | −0.364324 | − | 0.349937i | ||||
\(896\) | −3.00449 | − | 24.7442i | −0.100373 | − | 0.826645i | ||||
\(897\) | 17.4256 | + | 16.2622i | 0.581825 | + | 0.542981i | ||||
\(898\) | −1.84459 | + | 15.1915i | −0.0615546 | + | 0.506948i | ||||
\(899\) | 11.9709 | − | 9.77396i | 0.399253 | − | 0.325980i | ||||
\(900\) | −3.38649 | − | 16.5881i | −0.112883 | − | 0.552937i | ||||
\(901\) | −8.94905 | − | 30.8957i | −0.298136 | − | 1.02928i | ||||
\(902\) | 3.29625 | + | 13.3734i | 0.109753 | + | 0.445286i | ||||
\(903\) | 3.19752 | − | 39.6084i | 0.106407 | − | 1.31809i | ||||
\(904\) | −4.51483 | − | 27.7808i | −0.150161 | − | 0.923977i | ||||
\(905\) | 17.3811 | − | 19.6193i | 0.577769 | − | 0.652166i | ||||
\(906\) | −21.5168 | + | 16.1688i | −0.714846 | + | 0.537172i | ||||
\(907\) | 16.5326 | + | 20.2488i | 0.548957 | + | 0.672350i | 0.972332 | − | 0.233604i | \(-0.0750521\pi\) |
−0.423375 | + | 0.905955i | \(0.639155\pi\) | |||||||
\(908\) | −6.47027 | + | 39.8132i | −0.214723 | + | 1.32125i | ||||
\(909\) | 22.7568 | + | 5.60905i | 0.754795 | + | 0.186040i | ||||
\(910\) | 0.299728 | + | 5.47814i | 0.00993587 | + | 0.181599i | ||||
\(911\) | 17.0116 | − | 4.19299i | 0.563620 | − | 0.138920i | 0.0527965 | − | 0.998605i | \(-0.483187\pi\) |
0.510824 | + | 0.859685i | \(0.329340\pi\) | |||||||
\(912\) | −0.256706 | − | 3.17987i | −0.00850037 | − | 0.105296i | ||||
\(913\) | 35.2781 | − | 11.7775i | 1.16753 | − | 0.389780i | ||||
\(914\) | 10.9458 | + | 11.3958i | 0.362055 | + | 0.376939i | ||||
\(915\) | 6.58657i | 0.217745i | ||||||||
\(916\) | 5.47932 | − | 5.26296i | 0.181042 | − | 0.173893i | ||||
\(917\) | 2.46097 | + | 2.00932i | 0.0812685 | + | 0.0663537i | ||||
\(918\) | 0.132888 | − | 0.253196i | 0.00438595 | − | 0.00835672i | ||||
\(919\) | −2.19647 | + | 0.356962i | −0.0724549 | + | 0.0117751i | −0.196531 | − | 0.980498i | \(-0.562968\pi\) |
0.124076 | + | 0.992273i | \(0.460403\pi\) | |||||||
\(920\) | 5.92478 | − | 3.74661i | 0.195334 | − | 0.123522i | ||||
\(921\) | 24.9360 | − | 11.8323i | 0.821670 | − | 0.389887i | ||||
\(922\) | 1.77336 | − | 2.56916i | 0.0584025 | − | 0.0846107i | ||||
\(923\) | 5.80124 | − | 6.21625i | 0.190950 | − | 0.204610i | ||||
\(924\) | 15.0302 | + | 21.7750i | 0.494457 | + | 0.716345i | ||||
\(925\) | 20.5120 | + | 11.8426i | 0.674431 | + | 0.389383i | ||||
\(926\) | 7.69214 | + | 16.2108i | 0.252779 | + | 0.532721i | ||||
\(927\) | 22.1601 | + | 7.39813i | 0.727833 | + | 0.242986i | ||||
\(928\) | 11.2650 | − | 45.7038i | 0.369791 | − | 1.50030i | ||||
\(929\) | −7.34026 | + | 0.295802i | −0.240826 | + | 0.00970496i | −0.160386 | − | 0.987054i | \(-0.551274\pi\) |
−0.0804406 | + | 0.996759i | \(0.525633\pi\) | |||||||
\(930\) | 2.92437 | − | 0.117848i | 0.0958938 | − | 0.00386439i | ||||
\(931\) | −0.290697 | + | 1.17941i | −0.00952722 | + | 0.0386535i | ||||
\(932\) | 47.6426 | + | 15.9054i | 1.56059 | + | 0.521000i | ||||
\(933\) | −19.3809 | − | 40.8443i | −0.634501 | − | 1.33718i | ||||
\(934\) | −0.357081 | − | 0.206161i | −0.0116840 | − | 0.00674578i | ||||
\(935\) | −8.40978 | − | 12.1837i | −0.275029 | − | 0.398449i | ||||
\(936\) | 17.3638 | + | 12.6615i | 0.567555 | + | 0.413854i | ||||
\(937\) | 17.3514 | − | 25.1378i | 0.566845 | − | 0.821217i | −0.429812 | − | 0.902918i | \(-0.641420\pi\) |
0.996657 | + | 0.0817019i | \(0.0260355\pi\) | |||||||
\(938\) | 8.84165 | − | 4.19542i | 0.288690 | − | 0.136985i | ||||
\(939\) | −52.7915 | + | 33.3833i | −1.72278 | + | 1.08942i | ||||
\(940\) | 12.2120 | − | 1.98464i | 0.398310 | − | 0.0647317i | ||||
\(941\) | −15.3193 | + | 29.1885i | −0.499395 | + | 0.951517i | 0.497087 | + | 0.867701i | \(0.334403\pi\) |
−0.996481 | + | 0.0838160i | \(0.973289\pi\) | |||||||
\(942\) | 18.7025 | + | 15.2701i | 0.609360 | + | 0.497527i | ||||
\(943\) | −17.7943 | + | 17.0916i | −0.579462 | + | 0.556581i | ||||
\(944\) | − | 13.6935i | − | 0.445686i | ||||||
\(945\) | 0.285510 | + | 0.297248i | 0.00928765 | + | 0.00966947i | ||||
\(946\) | 10.5695 | − | 3.52861i | 0.343643 | − | 0.114725i | ||||
\(947\) | 1.91280 | + | 23.6943i | 0.0621578 | + | 0.769962i | 0.950489 | + | 0.310759i | \(0.100583\pi\) |
−0.888331 | + | 0.459204i | \(0.848135\pi\) | |||||||
\(948\) | −44.9107 | + | 11.0695i | −1.45863 | + | 0.359521i | ||||
\(949\) | 15.9922 | − | 34.9935i | 0.519128 | − | 1.13594i | ||||
\(950\) | −0.867951 | − | 0.213931i | −0.0281600 | − | 0.00694083i | ||||
\(951\) | 7.88093 | − | 48.4933i | 0.255557 | − | 1.57250i | ||||
\(952\) | 10.3327 | + | 12.6553i | 0.334885 | + | 0.410159i | ||||
\(953\) | 3.19006 | − | 2.39717i | 0.103336 | − | 0.0776520i | −0.547818 | − | 0.836597i | \(-0.684541\pi\) |
0.651154 | + | 0.758945i | \(0.274285\pi\) | |||||||
\(954\) | −8.84369 | + | 9.98247i | −0.286325 | + | 0.323194i | ||||
\(955\) | 1.30500 | + | 8.03000i | 0.0422289 | + | 0.259845i | ||||
\(956\) | 2.41216 | − | 29.8800i | 0.0780149 | − | 0.966388i | ||||
\(957\) | 15.3670 | + | 62.3466i | 0.496746 | + | 2.01538i | ||||
\(958\) | −2.16799 | − | 7.48476i | −0.0700445 | − | 0.241822i | ||||
\(959\) | 1.38958 | + | 6.80662i | 0.0448719 | + | 0.219797i | ||||
\(960\) | −5.51496 | + | 4.50283i | −0.177995 | + | 0.145328i | ||||
\(961\) | 3.38917 | − | 27.9123i | 0.109328 | − | 0.900398i | ||||
\(962\) | −13.6052 | + | 2.98196i | −0.438648 | + | 0.0961421i | ||||
\(963\) | −2.95463 | − | 24.3335i | −0.0952115 | − | 0.784137i | ||||
\(964\) | 2.55564 | + | 2.45473i | 0.0823117 | + | 0.0790615i | ||||
\(965\) | −12.5080 | + | 13.0222i | −0.402648 | + | 0.419201i | ||||
\(966\) | 3.22082 | − | 6.78774i | 0.103628 | − | 0.218392i | ||||
\(967\) | 28.0518 | − | 19.3627i | 0.902084 | − | 0.622664i | −0.0241107 | − | 0.999709i | \(-0.507675\pi\) |
0.926195 | + | 0.377046i | \(0.123060\pi\) | |||||||
\(968\) | 2.90097 | − | 4.58752i | 0.0932408 | − | 0.147449i | ||||
\(969\) | 3.03884 | + | 4.04397i | 0.0976217 | + | 0.129911i | ||||
\(970\) | 3.75568 | + | 7.15585i | 0.120588 | + | 0.229761i | ||||
\(971\) | 0.0534812 | − | 0.261968i | 0.00171629 | − | 0.00840696i | −0.978923 | − | 0.204227i | \(-0.934532\pi\) |
0.980640 | + | 0.195820i | \(0.0627370\pi\) | |||||||
\(972\) | −38.1020 | + | 3.07592i | −1.22212 | + | 0.0986600i | ||||
\(973\) | −36.9915 | − | 10.7147i | −1.18589 | − | 0.343498i | ||||
\(974\) | 3.42014 | + | 1.79503i | 0.109588 | + | 0.0575163i | ||||
\(975\) | −23.1897 | + | 16.5041i | −0.742663 | + | 0.528553i | ||||
\(976\) | −4.30600 | + | 2.25996i | −0.137832 | + | 0.0723397i | ||||
\(977\) | 19.5701 | − | 3.99527i | 0.626103 | − | 0.127820i | 0.123511 | − | 0.992343i | \(-0.460585\pi\) |
0.502593 | + | 0.864523i | \(0.332380\pi\) | |||||||
\(978\) | 22.9467 | + | 17.2433i | 0.733754 | + | 0.551381i | ||||
\(979\) | −0.264990 | − | 6.57566i | −0.00846912 | − | 0.210159i | ||||
\(980\) | 4.92735 | − | 1.86870i | 0.157398 | − | 0.0596933i | ||||
\(981\) | −25.0799 | + | 7.26448i | −0.800739 | + | 0.231937i | ||||
\(982\) | 7.09122 | + | 1.44768i | 0.226290 | + | 0.0461974i | ||||
\(983\) | 33.2095 | + | 37.4858i | 1.05922 | + | 1.19561i | 0.980050 | + | 0.198750i | \(0.0636882\pi\) |
0.0791690 | + | 0.996861i | \(0.474773\pi\) | |||||||
\(984\) | −27.8731 | + | 34.1384i | −0.888562 | + | 1.08829i | ||||
\(985\) | −1.40405 | + | 34.8411i | −0.0447367 | + | 1.11013i | ||||
\(986\) | 5.81690 | + | 17.4237i | 0.185248 | + | 0.554885i | ||||
\(987\) | 21.4241 | − | 18.9801i | 0.681937 | − | 0.604143i | ||||
\(988\) | −2.91386 | + | 1.58317i | −0.0927022 | + | 0.0503674i | ||||
\(989\) | 14.9407 | + | 13.2363i | 0.475088 | + | 0.420891i | ||||
\(990\) | −2.40593 | + | 5.64693i | −0.0764655 | + | 0.179471i | ||||
\(991\) | −17.1562 | + | 29.7154i | −0.544984 | + | 0.943940i | 0.453624 | + | 0.891193i | \(0.350131\pi\) |
−0.998608 | + | 0.0527467i | \(0.983202\pi\) | |||||||
\(992\) | 4.39009 | + | 7.60387i | 0.139386 | + | 0.241423i | ||||
\(993\) | 40.8127 | − | 4.95556i | 1.29515 | − | 0.157260i | ||||
\(994\) | −2.42139 | − | 1.14897i | −0.0768019 | − | 0.0364430i | ||||
\(995\) | −15.3986 | + | 8.89037i | −0.488167 | + | 0.281844i | ||||
\(996\) | 45.3732 | + | 31.3189i | 1.43771 | + | 0.992376i | ||||
\(997\) | 0.454521 | − | 0.193653i | 0.0143948 | − | 0.00613307i | −0.384757 | − | 0.923018i | \(-0.625715\pi\) |
0.399152 | + | 0.916885i | \(0.369305\pi\) | |||||||
\(998\) | −10.2169 | − | 1.66041i | −0.323411 | − | 0.0525594i | ||||
\(999\) | −0.628579 | + | 0.836487i | −0.0198874 | + | 0.0264653i |
(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 | 169.2.k.a.4.7 | ✓ | 360 | |
169.127 | even | 78 | inner | 169.2.k.a.127.7 | yes | 360 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
169.2.k.a.4.7 | ✓ | 360 | 1.1 | even | 1 | trivial | |
169.2.k.a.127.7 | yes | 360 | 169.127 | even | 78 | inner |