Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [273,2,Mod(146,273)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(273, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 3, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("273.146");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 273 = 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 273.bn (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.17991597518\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 146.4 | ||
Character | \(\chi\) | \(=\) | 273.146 |
Dual form | 273.2.bn.c.230.4 |
$q$-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 \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).
\(n\) | \(92\) | \(106\) | \(157\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{3}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.01386 | + | 1.16270i | −1.42401 | + | 0.822155i | −0.996639 | − | 0.0819189i | \(-0.973895\pi\) |
−0.427376 | + | 0.904074i | \(0.640562\pi\) | |||||||
\(3\) | 1.06546 | + | 1.36557i | 0.615145 | + | 0.788414i | ||||
\(4\) | 1.70376 | − | 2.95099i | 0.851878 | − | 1.47550i | ||||
\(5\) | 0.993521 | 0.444316 | 0.222158 | − | 0.975011i | \(-0.428690\pi\) | ||||
0.222158 | + | 0.975011i | \(0.428690\pi\) | |||||||
\(6\) | −3.73345 | − | 1.51126i | −1.52417 | − | 0.616968i | ||||
\(7\) | 2.52966 | − | 0.775133i | 0.956121 | − | 0.292973i | ||||
\(8\) | 3.27304i | 1.15719i | ||||||||
\(9\) | −0.729580 | + | 2.90993i | −0.243193 | + | 0.969978i | ||||
\(10\) | −2.00081 | + | 1.15517i | −0.632712 | + | 0.365297i | ||||
\(11\) | 2.81046 | − | 1.62262i | 0.847386 | − | 0.489238i | −0.0123823 | − | 0.999923i | \(-0.503941\pi\) |
0.859768 | + | 0.510685i | \(0.170608\pi\) | |||||||
\(12\) | 5.84509 | − | 0.817568i | 1.68733 | − | 0.236012i | ||||
\(13\) | 2.75926 | − | 2.32088i | 0.765281 | − | 0.643696i | ||||
\(14\) | −4.19313 | + | 4.50225i | −1.12066 | + | 1.20328i | ||||
\(15\) | 1.05856 | + | 1.35672i | 0.273319 | + | 0.350305i | ||||
\(16\) | −0.398062 | − | 0.689463i | −0.0995154 | − | 0.172366i | ||||
\(17\) | 1.72639 | − | 2.99020i | 0.418712 | − | 0.725230i | −0.577099 | − | 0.816675i | \(-0.695815\pi\) |
0.995810 | + | 0.0914447i | \(0.0291485\pi\) | |||||||
\(18\) | −1.91412 | − | 6.70849i | −0.451162 | − | 1.58121i | ||||
\(19\) | 1.33408 | + | 0.770230i | 0.306058 | + | 0.176703i | 0.645161 | − | 0.764046i | \(-0.276790\pi\) |
−0.339103 | + | 0.940749i | \(0.610123\pi\) | |||||||
\(20\) | 1.69272 | − | 2.93187i | 0.378503 | − | 0.655587i | ||||
\(21\) | 3.75376 | + | 2.62856i | 0.819137 | + | 0.573598i | ||||
\(22\) | −3.77325 | + | 6.53546i | −0.804460 | + | 1.39337i | ||||
\(23\) | −4.81226 | + | 2.77836i | −1.00343 | + | 0.579328i | −0.909260 | − | 0.416228i | \(-0.863352\pi\) |
−0.0941659 | + | 0.995557i | \(0.530018\pi\) | |||||||
\(24\) | −4.46958 | + | 3.48730i | −0.912349 | + | 0.711843i | ||||
\(25\) | −4.01292 | −0.802583 | ||||||||
\(26\) | −2.85828 | + | 7.88213i | −0.560554 | + | 1.54581i | ||||
\(27\) | −4.75107 | + | 2.10413i | −0.914343 | + | 0.404940i | ||||
\(28\) | 2.02251 | − | 8.78564i | 0.382219 | − | 1.66033i | ||||
\(29\) | −2.42166 | + | 1.39814i | −0.449690 | + | 0.259629i | −0.707699 | − | 0.706514i | \(-0.750267\pi\) |
0.258009 | + | 0.966143i | \(0.416934\pi\) | |||||||
\(30\) | −3.70926 | − | 1.50147i | −0.677215 | − | 0.274129i | ||||
\(31\) | 0.253865i | 0.0455955i | 0.999740 | + | 0.0227977i | \(0.00725737\pi\) | ||||
−0.999740 | + | 0.0227977i | \(0.992743\pi\) | |||||||
\(32\) | −4.06579 | − | 2.34739i | −0.718737 | − | 0.414963i | ||||
\(33\) | 5.21025 | + | 2.10905i | 0.906987 | + | 0.367138i | ||||
\(34\) | 8.02913i | 1.37698i | ||||||||
\(35\) | 2.51327 | − | 0.770110i | 0.424820 | − | 0.130172i | ||||
\(36\) | 7.34417 | + | 7.11080i | 1.22403 | + | 1.18513i | ||||
\(37\) | 0.572688 | + | 0.991924i | 0.0941493 | + | 0.163071i | 0.909253 | − | 0.416243i | \(-0.136654\pi\) |
−0.815104 | + | 0.579315i | \(0.803320\pi\) | |||||||
\(38\) | −3.58220 | −0.581109 | ||||||||
\(39\) | 6.10922 | + | 1.29516i | 0.978258 | + | 0.207392i | ||||
\(40\) | 3.25183i | 0.514160i | ||||||||
\(41\) | 1.42995 | + | 2.47675i | 0.223321 | + | 0.386803i | 0.955814 | − | 0.293971i | \(-0.0949770\pi\) |
−0.732494 | + | 0.680774i | \(0.761644\pi\) | |||||||
\(42\) | −10.6158 | − | 0.929046i | −1.63805 | − | 0.143355i | ||||
\(43\) | −5.92223 | + | 10.2576i | −0.903131 | + | 1.56427i | −0.0797249 | + | 0.996817i | \(0.525404\pi\) |
−0.823406 | + | 0.567452i | \(0.807929\pi\) | |||||||
\(44\) | − | 11.0582i | − | 1.66709i | ||||||
\(45\) | −0.724852 | + | 2.89108i | −0.108055 | + | 0.430977i | ||||
\(46\) | 6.46082 | − | 11.1905i | 0.952596 | − | 1.64994i | ||||
\(47\) | −6.13878 | −0.895433 | −0.447716 | − | 0.894176i | \(-0.647763\pi\) | ||||
−0.447716 | + | 0.894176i | \(0.647763\pi\) | |||||||
\(48\) | 0.517392 | − | 1.27818i | 0.0746791 | − | 0.184489i | ||||
\(49\) | 5.79834 | − | 3.92164i | 0.828334 | − | 0.560235i | ||||
\(50\) | 8.08146 | − | 4.66583i | 1.14289 | − | 0.659848i | ||||
\(51\) | 5.92274 | − | 0.828430i | 0.829350 | − | 0.116003i | ||||
\(52\) | −2.14779 | − | 12.0968i | −0.297845 | − | 1.67752i | ||||
\(53\) | 1.06449i | 0.146219i | 0.997324 | + | 0.0731093i | \(0.0232922\pi\) | ||||
−0.997324 | + | 0.0731093i | \(0.976708\pi\) | |||||||
\(54\) | 7.12151 | − | 9.76151i | 0.969114 | − | 1.32837i | ||||
\(55\) | 2.79225 | − | 1.61211i | 0.376507 | − | 0.217376i | ||||
\(56\) | 2.53704 | + | 8.27968i | 0.339026 | + | 1.10642i | ||||
\(57\) | 0.369604 | + | 2.64243i | 0.0489553 | + | 0.349999i | ||||
\(58\) | 3.25125 | − | 5.63134i | 0.426911 | − | 0.739431i | ||||
\(59\) | 7.26527 | − | 12.5838i | 0.945857 | − | 1.63827i | 0.191832 | − | 0.981428i | \(-0.438557\pi\) |
0.754025 | − | 0.656846i | \(-0.228110\pi\) | |||||||
\(60\) | 5.80721 | − | 0.812271i | 0.749708 | − | 0.104864i | ||||
\(61\) | −10.5869 | − | 6.11236i | −1.35552 | − | 0.782607i | −0.366500 | − | 0.930418i | \(-0.619444\pi\) |
−0.989016 | + | 0.147811i | \(0.952777\pi\) | |||||||
\(62\) | −0.295169 | − | 0.511248i | −0.0374866 | − | 0.0649286i | ||||
\(63\) | 0.409998 | + | 7.92666i | 0.0516549 | + | 0.998665i | ||||
\(64\) | 12.5095 | 1.56369 | ||||||||
\(65\) | 2.74138 | − | 2.30584i | 0.340027 | − | 0.286004i | ||||
\(66\) | −12.9449 | + | 1.81064i | −1.59341 | + | 0.222874i | ||||
\(67\) | −4.97057 | − | 8.60928i | −0.607252 | − | 1.05179i | −0.991691 | − | 0.128641i | \(-0.958939\pi\) |
0.384439 | − | 0.923150i | \(-0.374395\pi\) | |||||||
\(68\) | −5.88271 | − | 10.1891i | −0.713383 | − | 1.23562i | ||||
\(69\) | −8.92134 | − | 3.61126i | −1.07400 | − | 0.434744i | ||||
\(70\) | −4.16596 | + | 4.47308i | −0.497928 | + | 0.534635i | ||||
\(71\) | 3.62686 | + | 2.09397i | 0.430429 | + | 0.248508i | 0.699529 | − | 0.714604i | \(-0.253393\pi\) |
−0.269100 | + | 0.963112i | \(0.586726\pi\) | |||||||
\(72\) | −9.52433 | − | 2.38794i | −1.12245 | − | 0.281422i | ||||
\(73\) | 8.34583i | 0.976806i | 0.872618 | + | 0.488403i | \(0.162420\pi\) | ||||
−0.872618 | + | 0.488403i | \(0.837580\pi\) | |||||||
\(74\) | −2.30663 | − | 1.33173i | −0.268140 | − | 0.154811i | ||||
\(75\) | −4.27561 | − | 5.47993i | −0.493705 | − | 0.632768i | ||||
\(76\) | 4.54589 | − | 2.62457i | 0.521449 | − | 0.301059i | ||||
\(77\) | 5.85176 | − | 6.28315i | 0.666870 | − | 0.716032i | ||||
\(78\) | −13.8090 | + | 4.49493i | −1.56356 | + | 0.508950i | ||||
\(79\) | 7.85176 | 0.883392 | 0.441696 | − | 0.897165i | \(-0.354377\pi\) | ||||
0.441696 | + | 0.897165i | \(0.354377\pi\) | |||||||
\(80\) | −0.395482 | − | 0.684996i | −0.0442163 | − | 0.0765848i | ||||
\(81\) | −7.93543 | − | 4.24606i | −0.881714 | − | 0.471784i | ||||
\(82\) | −5.75944 | − | 3.32521i | −0.636024 | − | 0.367209i | ||||
\(83\) | 9.49585 | 1.04230 | 0.521152 | − | 0.853464i | \(-0.325502\pi\) | ||||
0.521152 | + | 0.853464i | \(0.325502\pi\) | |||||||
\(84\) | 14.1523 | − | 6.59889i | 1.54415 | − | 0.719997i | ||||
\(85\) | 1.71521 | − | 2.97082i | 0.186040 | − | 0.322231i | ||||
\(86\) | − | 27.5432i | − | 2.97006i | ||||||
\(87\) | −4.48945 | − | 1.81728i | −0.481320 | − | 0.194833i | ||||
\(88\) | 5.31090 | + | 9.19875i | 0.566144 | + | 0.980590i | ||||
\(89\) | 1.72349 | + | 2.98518i | 0.182690 | + | 0.316429i | 0.942796 | − | 0.333371i | \(-0.108186\pi\) |
−0.760106 | + | 0.649800i | \(0.774853\pi\) | |||||||
\(90\) | −1.90171 | − | 6.66502i | −0.200458 | − | 0.702555i | ||||
\(91\) | 5.18100 | − | 8.00982i | 0.543116 | − | 0.839658i | ||||
\(92\) | 18.9346i | 1.97407i | ||||||||
\(93\) | −0.346671 | + | 0.270483i | −0.0359481 | + | 0.0280478i | ||||
\(94\) | 12.3626 | − | 7.13758i | 1.27511 | − | 0.736185i | ||||
\(95\) | 1.32543 | + | 0.765239i | 0.135987 | + | 0.0785119i | ||||
\(96\) | −1.12642 | − | 8.05319i | −0.114965 | − | 0.821925i | ||||
\(97\) | −6.67981 | − | 3.85659i | −0.678232 | − | 0.391578i | 0.120956 | − | 0.992658i | \(-0.461404\pi\) |
−0.799189 | + | 0.601080i | \(0.794737\pi\) | |||||||
\(98\) | −7.11734 | + | 14.6394i | −0.718960 | + | 1.47880i | ||||
\(99\) | 2.67126 | + | 9.36208i | 0.268472 | + | 0.940925i | ||||
\(100\) | −6.83704 | + | 11.8421i | −0.683704 | + | 1.18421i | ||||
\(101\) | 6.75250 | + | 11.6957i | 0.671899 | + | 1.16376i | 0.977365 | + | 0.211560i | \(0.0678544\pi\) |
−0.305466 | + | 0.952203i | \(0.598812\pi\) | |||||||
\(102\) | −10.9644 | + | 8.55473i | −1.08563 | + | 0.847045i | ||||
\(103\) | 12.3378i | 1.21568i | 0.794059 | + | 0.607841i | \(0.207964\pi\) | ||||
−0.794059 | + | 0.607841i | \(0.792036\pi\) | |||||||
\(104\) | 7.59633 | + | 9.03118i | 0.744882 | + | 0.885580i | ||||
\(105\) | 3.72943 | + | 2.61153i | 0.363955 | + | 0.254859i | ||||
\(106\) | −1.23768 | − | 2.14373i | −0.120214 | − | 0.208218i | ||||
\(107\) | 5.39056 | − | 3.11224i | 0.521125 | − | 0.300872i | −0.216270 | − | 0.976334i | \(-0.569389\pi\) |
0.737395 | + | 0.675462i | \(0.236056\pi\) | |||||||
\(108\) | −1.88539 | + | 17.6053i | −0.181421 | + | 1.69407i | ||||
\(109\) | −14.8132 | −1.41884 | −0.709422 | − | 0.704784i | \(-0.751044\pi\) | ||||
−0.709422 | + | 0.704784i | \(0.751044\pi\) | |||||||
\(110\) | −3.74880 | + | 6.49312i | −0.357434 | + | 0.619094i | ||||
\(111\) | −0.744368 | + | 1.83891i | −0.0706523 | + | 0.174541i | ||||
\(112\) | −1.54138 | − | 1.43555i | −0.145647 | − | 0.135647i | ||||
\(113\) | −14.9870 | − | 8.65278i | −1.40986 | − | 0.813985i | −0.414488 | − | 0.910055i | \(-0.636039\pi\) |
−0.995375 | + | 0.0960701i | \(0.969373\pi\) | |||||||
\(114\) | −3.81670 | − | 4.89175i | −0.357466 | − | 0.458154i | ||||
\(115\) | −4.78108 | + | 2.76036i | −0.445838 | + | 0.257405i | ||||
\(116\) | 9.52839i | 0.884689i | ||||||||
\(117\) | 4.74050 | + | 9.72253i | 0.438260 | + | 0.898848i | ||||
\(118\) | 33.7894i | 3.11057i | ||||||||
\(119\) | 2.04938 | − | 8.90236i | 0.187866 | − | 0.816078i | ||||
\(120\) | −4.44062 | + | 3.46471i | −0.405371 | + | 0.316283i | ||||
\(121\) | −0.234209 | + | 0.405662i | −0.0212917 | + | 0.0368784i | ||||
\(122\) | 28.4274 | 2.57370 | ||||||||
\(123\) | −1.85862 | + | 4.59158i | −0.167586 | + | 0.414009i | ||||
\(124\) | 0.749153 | + | 0.432524i | 0.0672760 | + | 0.0388418i | ||||
\(125\) | −8.95452 | −0.800916 | ||||||||
\(126\) | −10.0420 | − | 15.4865i | −0.894615 | − | 1.37965i | ||||
\(127\) | −5.38117 | − | 9.32045i | −0.477501 | − | 0.827057i | 0.522166 | − | 0.852844i | \(-0.325124\pi\) |
−0.999667 | + | 0.0257872i | \(0.991791\pi\) | |||||||
\(128\) | −17.0608 | + | 9.85006i | −1.50798 | + | 0.870631i | ||||
\(129\) | −20.3174 | + | 2.84185i | −1.78885 | + | 0.250211i | ||||
\(130\) | −2.83976 | + | 7.83106i | −0.249063 | + | 0.686829i | ||||
\(131\) | 9.18252 | 0.802281 | 0.401140 | − | 0.916017i | \(-0.368614\pi\) | ||||
0.401140 | + | 0.916017i | \(0.368614\pi\) | |||||||
\(132\) | 15.1008 | − | 11.7821i | 1.31435 | − | 1.02550i | ||||
\(133\) | 3.97179 | + | 0.914331i | 0.344398 | + | 0.0792826i | ||||
\(134\) | 20.0201 | + | 11.5586i | 1.72947 | + | 0.998511i | ||||
\(135\) | −4.72028 | + | 2.09050i | −0.406257 | + | 0.179921i | ||||
\(136\) | 9.78705 | + | 5.65055i | 0.839232 | + | 0.484531i | ||||
\(137\) | 1.07228 | + | 0.619079i | 0.0916108 | + | 0.0528915i | 0.545106 | − | 0.838367i | \(-0.316490\pi\) |
−0.453495 | + | 0.891259i | \(0.649823\pi\) | |||||||
\(138\) | 22.1652 | − | 3.10030i | 1.88682 | − | 0.263915i | ||||
\(139\) | 10.5917 | + | 6.11510i | 0.898373 | + | 0.518676i | 0.876672 | − | 0.481089i | \(-0.159758\pi\) |
0.0217011 | + | 0.999765i | \(0.493092\pi\) | |||||||
\(140\) | 2.00941 | − | 8.72872i | 0.169826 | − | 0.737711i | ||||
\(141\) | −6.54064 | − | 8.38295i | −0.550821 | − | 0.705972i | ||||
\(142\) | −9.73866 | −0.817250 | ||||||||
\(143\) | 3.98889 | − | 11.0000i | 0.333568 | − | 0.919864i | ||||
\(144\) | 2.29671 | − | 0.655315i | 0.191392 | − | 0.0546096i | ||||
\(145\) | −2.40597 | + | 1.38909i | −0.199805 | + | 0.115357i | ||||
\(146\) | −9.70372 | − | 16.8073i | −0.803086 | − | 1.39099i | ||||
\(147\) | 11.5332 | + | 3.73969i | 0.951242 | + | 0.308445i | ||||
\(148\) | 3.90288 | 0.320815 | ||||||||
\(149\) | −8.39830 | − | 4.84876i | −0.688015 | − | 0.397226i | 0.114853 | − | 0.993383i | \(-0.463360\pi\) |
−0.802868 | + | 0.596157i | \(0.796694\pi\) | |||||||
\(150\) | 14.9820 | + | 6.06455i | 1.22328 | + | 0.495169i | ||||
\(151\) | 4.84486 | 0.394269 | 0.197135 | − | 0.980376i | \(-0.436836\pi\) | ||||
0.197135 | + | 0.980376i | \(0.436836\pi\) | |||||||
\(152\) | −2.52100 | + | 4.36649i | −0.204480 | + | 0.354169i | ||||
\(153\) | 7.44174 | + | 7.20528i | 0.601629 | + | 0.582512i | ||||
\(154\) | −4.47918 | + | 19.4573i | −0.360943 | + | 1.56791i | ||||
\(155\) | 0.252220i | 0.0202588i | ||||||||
\(156\) | 14.2306 | − | 15.8216i | 1.13936 | − | 1.26674i | ||||
\(157\) | − | 20.7117i | − | 1.65297i | −0.562958 | − | 0.826486i | \(-0.690337\pi\) | ||
0.562958 | − | 0.826486i | \(-0.309663\pi\) | |||||||
\(158\) | −15.8124 | + | 9.12927i | −1.25796 | + | 0.726285i | ||||
\(159\) | −1.45364 | + | 1.13417i | −0.115281 | + | 0.0899457i | ||||
\(160\) | −4.03945 | − | 2.33218i | −0.319346 | − | 0.184375i | ||||
\(161\) | −10.0198 | + | 10.7584i | −0.789669 | + | 0.847884i | ||||
\(162\) | 20.9177 | − | 0.675578i | 1.64345 | − | 0.0530784i | ||||
\(163\) | −0.175873 | + | 0.304621i | −0.0137754 | + | 0.0238597i | −0.872831 | − | 0.488023i | \(-0.837718\pi\) |
0.859056 | + | 0.511882i | \(0.171052\pi\) | |||||||
\(164\) | 9.74515 | 0.760968 | ||||||||
\(165\) | 5.17649 | + | 2.09538i | 0.402989 | + | 0.163125i | ||||
\(166\) | −19.1233 | + | 11.0409i | −1.48426 | + | 0.856937i | ||||
\(167\) | −8.43594 | − | 14.6115i | −0.652793 | − | 1.13067i | −0.982442 | − | 0.186567i | \(-0.940264\pi\) |
0.329649 | − | 0.944103i | \(-0.393069\pi\) | |||||||
\(168\) | −8.60338 | + | 12.2862i | −0.663765 | + | 0.947901i | ||||
\(169\) | 2.22704 | − | 12.8078i | 0.171311 | − | 0.985217i | ||||
\(170\) | 7.97710i | 0.611816i | ||||||||
\(171\) | −3.21463 | + | 3.32013i | −0.245829 | + | 0.253897i | ||||
\(172\) | 20.1801 | + | 34.9529i | 1.53872 | + | 2.66513i | ||||
\(173\) | −10.3357 | + | 17.9020i | −0.785809 | + | 1.36106i | 0.142705 | + | 0.989765i | \(0.454420\pi\) |
−0.928515 | + | 0.371296i | \(0.878913\pi\) | |||||||
\(174\) | 11.1541 | − | 1.56015i | 0.845589 | − | 0.118275i | ||||
\(175\) | −10.1513 | + | 3.11054i | −0.767367 | + | 0.235135i | ||||
\(176\) | −2.23747 | − | 1.29181i | −0.168656 | − | 0.0973735i | ||||
\(177\) | 24.9250 | − | 3.48633i | 1.87348 | − | 0.262048i | ||||
\(178\) | −6.94176 | − | 4.00783i | −0.520307 | − | 0.300399i | ||||
\(179\) | 4.34650 | − | 2.50945i | 0.324873 | − | 0.187565i | −0.328690 | − | 0.944438i | \(-0.606607\pi\) |
0.653562 | + | 0.756873i | \(0.273274\pi\) | |||||||
\(180\) | 7.29658 | + | 7.06473i | 0.543855 | + | 0.526574i | ||||
\(181\) | − | 12.6750i | − | 0.942123i | −0.882100 | − | 0.471062i | \(-0.843871\pi\) | ||
0.882100 | − | 0.471062i | \(-0.156129\pi\) | |||||||
\(182\) | −1.12076 | + | 22.1546i | −0.0830765 | + | 1.64221i | ||||
\(183\) | −2.93309 | − | 20.9697i | −0.216820 | − | 1.55012i | ||||
\(184\) | −9.09369 | − | 15.7507i | −0.670396 | − | 1.16116i | ||||
\(185\) | 0.568977 | + | 0.985497i | 0.0418320 | + | 0.0724552i | ||||
\(186\) | 0.383655 | − | 0.947791i | 0.0281310 | − | 0.0694954i | ||||
\(187\) | − | 11.2051i | − | 0.819399i | ||||||
\(188\) | −10.4590 | + | 18.1155i | −0.762800 | + | 1.32121i | ||||
\(189\) | −10.3876 | + | 9.00544i | −0.755586 | + | 0.655049i | ||||
\(190\) | −3.55899 | −0.258196 | ||||||||
\(191\) | 1.58695 | + | 0.916224i | 0.114827 | + | 0.0662957i | 0.556314 | − | 0.830972i | \(-0.312215\pi\) |
−0.441486 | + | 0.897268i | \(0.645549\pi\) | |||||||
\(192\) | 13.3284 | + | 17.0826i | 0.961895 | + | 1.23283i | ||||
\(193\) | −2.36521 | − | 4.09667i | −0.170252 | − | 0.294885i | 0.768256 | − | 0.640143i | \(-0.221125\pi\) |
−0.938508 | + | 0.345258i | \(0.887791\pi\) | |||||||
\(194\) | 17.9363 | 1.28775 | ||||||||
\(195\) | 6.06963 | + | 1.28677i | 0.434656 | + | 0.0921477i | ||||
\(196\) | −1.69378 | − | 23.7924i | −0.120984 | − | 1.69946i | ||||
\(197\) | −18.4409 | + | 10.6468i | −1.31386 | + | 0.758556i | −0.982733 | − | 0.185031i | \(-0.940762\pi\) |
−0.331125 | + | 0.943587i | \(0.607428\pi\) | |||||||
\(198\) | −16.2649 | − | 15.7480i | −1.15589 | − | 1.11917i | ||||
\(199\) | −2.28678 | − | 1.32027i | −0.162105 | − | 0.0935916i | 0.416753 | − | 0.909020i | \(-0.363168\pi\) |
−0.578858 | + | 0.815428i | \(0.696501\pi\) | |||||||
\(200\) | − | 13.1344i | − | 0.928745i | ||||||
\(201\) | 6.46065 | − | 15.9605i | 0.455699 | − | 1.12577i | ||||
\(202\) | −27.1972 | − | 15.7023i | −1.91359 | − | 1.10481i | ||||
\(203\) | −5.04222 | + | 5.41393i | −0.353894 | + | 0.379984i | ||||
\(204\) | 7.64622 | − | 18.8894i | 0.535343 | − | 1.32252i | ||||
\(205\) | 1.42068 | + | 2.46070i | 0.0992249 | + | 0.171863i | ||||
\(206\) | −14.3452 | − | 24.8467i | −0.999480 | − | 1.73115i | ||||
\(207\) | −4.57392 | − | 16.0304i | −0.317909 | − | 1.11419i | ||||
\(208\) | −2.69852 | − | 0.978556i | −0.187108 | − | 0.0678506i | ||||
\(209\) | 4.99916 | 0.345799 | ||||||||
\(210\) | −10.5470 | − | 0.923026i | −0.727811 | − | 0.0636949i | ||||
\(211\) | −6.46256 | − | 11.1935i | −0.444901 | − | 0.770592i | 0.553144 | − | 0.833086i | \(-0.313428\pi\) |
−0.998045 | + | 0.0624940i | \(0.980095\pi\) | |||||||
\(212\) | 3.14130 | + | 1.81363i | 0.215745 | + | 0.124561i | ||||
\(213\) | 1.00482 | + | 7.18379i | 0.0688489 | + | 0.492225i | ||||
\(214\) | −7.23723 | + | 12.5352i | −0.494727 | + | 0.856892i | ||||
\(215\) | −5.88385 | + | 10.1911i | −0.401276 | + | 0.695030i | ||||
\(216\) | −6.88691 | − | 15.5504i | −0.468595 | − | 1.05807i | ||||
\(217\) | 0.196779 | + | 0.642191i | 0.0133582 | + | 0.0435948i | ||||
\(218\) | 29.8317 | − | 17.2233i | 2.02046 | − | 1.16651i | ||||
\(219\) | −11.3968 | + | 8.89217i | −0.770127 | + | 0.600877i | ||||
\(220\) | − | 10.9865i | − | 0.740713i | ||||||
\(221\) | −2.17632 | − | 12.2575i | −0.146395 | − | 0.824528i | ||||
\(222\) | −0.639047 | − | 4.56878i | −0.0428901 | − | 0.306636i | ||||
\(223\) | −5.68065 | + | 3.27973i | −0.380405 | + | 0.219627i | −0.677994 | − | 0.735067i | \(-0.737151\pi\) |
0.297590 | + | 0.954694i | \(0.403817\pi\) | |||||||
\(224\) | −12.1046 | − | 2.78656i | −0.808773 | − | 0.186185i | ||||
\(225\) | 2.92774 | − | 11.6773i | 0.195183 | − | 0.778488i | ||||
\(226\) | 40.2424 | 2.67689 | ||||||||
\(227\) | −9.01102 | + | 15.6075i | −0.598082 | + | 1.03591i | 0.395021 | + | 0.918672i | \(0.370737\pi\) |
−0.993104 | + | 0.117237i | \(0.962596\pi\) | |||||||
\(228\) | 8.42752 | + | 3.41136i | 0.558126 | + | 0.225923i | ||||
\(229\) | 8.97041i | 0.592781i | 0.955067 | + | 0.296391i | \(0.0957831\pi\) | ||||
−0.955067 | + | 0.296391i | \(0.904217\pi\) | |||||||
\(230\) | 6.41896 | − | 11.1180i | 0.423253 | − | 0.733096i | ||||
\(231\) | 14.8149 | + | 1.29654i | 0.974751 | + | 0.0853059i | ||||
\(232\) | −4.57618 | − | 7.92618i | −0.300441 | − | 0.520380i | ||||
\(233\) | 23.3691i | 1.53096i | 0.643459 | + | 0.765481i | \(0.277499\pi\) | ||||
−0.643459 | + | 0.765481i | \(0.722501\pi\) | |||||||
\(234\) | −20.8511 | − | 14.0680i | −1.36308 | − | 0.919656i | ||||
\(235\) | −6.09900 | −0.397855 | ||||||||
\(236\) | −24.7565 | − | 42.8795i | −1.61151 | − | 2.79122i | ||||
\(237\) | 8.36575 | + | 10.7222i | 0.543414 | + | 0.696479i | ||||
\(238\) | 6.22364 | + | 20.3109i | 0.403419 | + | 1.31656i | ||||
\(239\) | − | 13.2727i | − | 0.858538i | −0.903177 | − | 0.429269i | \(-0.858771\pi\) | ||
0.903177 | − | 0.429269i | \(-0.141229\pi\) | |||||||
\(240\) | 0.514040 | − | 1.26990i | 0.0331811 | − | 0.0819715i | ||||
\(241\) | 23.7299 | + | 13.7005i | 1.52858 | + | 0.882525i | 0.999422 | + | 0.0340009i | \(0.0108249\pi\) |
0.529157 | + | 0.848524i | \(0.322508\pi\) | |||||||
\(242\) | − | 1.08926i | − | 0.0700205i | ||||||
\(243\) | −2.65660 | − | 15.3604i | −0.170421 | − | 0.985371i | ||||
\(244\) | −36.0751 | + | 20.8279i | −2.30947 | + | 1.33337i | ||||
\(245\) | 5.76077 | − | 3.89623i | 0.368042 | − | 0.248921i | ||||
\(246\) | −1.59564 | − | 11.4078i | −0.101735 | − | 0.727337i | ||||
\(247\) | 5.46868 | − | 0.970966i | 0.347964 | − | 0.0617811i | ||||
\(248\) | −0.830910 | −0.0527628 | ||||||||
\(249\) | 10.1175 | + | 12.9673i | 0.641169 | + | 0.821768i | ||||
\(250\) | 18.0332 | − | 10.4114i | 1.14052 | − | 0.658478i | ||||
\(251\) | −0.205761 | + | 0.356389i | −0.0129875 | + | 0.0224951i | −0.872446 | − | 0.488710i | \(-0.837468\pi\) |
0.859459 | + | 0.511205i | \(0.170801\pi\) | |||||||
\(252\) | 24.0901 | + | 12.2952i | 1.51753 | + | 0.774525i | ||||
\(253\) | −9.01645 | + | 15.6169i | −0.566859 | + | 0.981829i | ||||
\(254\) | 21.6738 | + | 12.5134i | 1.35994 | + | 0.785160i | ||||
\(255\) | 5.88437 | − | 0.823062i | 0.368493 | − | 0.0515422i | ||||
\(256\) | 10.3959 | − | 18.0062i | 0.649743 | − | 1.12539i | ||||
\(257\) | −2.08991 | − | 3.61983i | −0.130365 | − | 0.225799i | 0.793452 | − | 0.608633i | \(-0.208282\pi\) |
−0.923817 | + | 0.382833i | \(0.874948\pi\) | |||||||
\(258\) | 37.6122 | − | 29.3462i | 2.34163 | − | 1.82702i | ||||
\(259\) | 2.21758 | + | 2.06532i | 0.137794 | + | 0.128333i | ||||
\(260\) | −2.13387 | − | 12.0184i | −0.132337 | − | 0.745349i | ||||
\(261\) | −2.30172 | − | 8.06692i | −0.142473 | − | 0.499330i | ||||
\(262\) | −18.4923 | + | 10.6765i | −1.14246 | + | 0.659599i | ||||
\(263\) | 20.6659 | − | 11.9315i | 1.27431 | − | 0.735726i | 0.298518 | − | 0.954404i | \(-0.403508\pi\) |
0.975797 | + | 0.218678i | \(0.0701744\pi\) | |||||||
\(264\) | −6.90300 | + | 17.0534i | −0.424850 | + | 1.04956i | ||||
\(265\) | 1.05759i | 0.0649673i | ||||||||
\(266\) | −9.06173 | + | 2.77668i | −0.555610 | + | 0.170249i | ||||
\(267\) | −2.24016 | + | 5.53416i | −0.137096 | + | 0.338685i | ||||
\(268\) | −33.8746 | −2.06922 | ||||||||
\(269\) | −4.67279 | + | 8.09350i | −0.284905 | + | 0.493470i | −0.972586 | − | 0.232543i | \(-0.925295\pi\) |
0.687681 | + | 0.726013i | \(0.258629\pi\) | |||||||
\(270\) | 7.07536 | − | 9.69826i | 0.430593 | − | 0.590217i | ||||
\(271\) | 18.9748 | − | 10.9551i | 1.15264 | − | 0.665474i | 0.203107 | − | 0.979156i | \(-0.434896\pi\) |
0.949528 | + | 0.313682i | \(0.101563\pi\) | |||||||
\(272\) | −2.74884 | −0.166673 | ||||||||
\(273\) | 16.4582 | − | 1.45913i | 0.996093 | − | 0.0883108i | ||||
\(274\) | −2.87922 | −0.173940 | ||||||||
\(275\) | −11.2781 | + | 6.51144i | −0.680098 | + | 0.392655i | ||||
\(276\) | −25.8566 | + | 20.1741i | −1.55638 | + | 1.21434i | ||||
\(277\) | −4.70935 | + | 8.15684i | −0.282958 | + | 0.490097i | −0.972112 | − | 0.234518i | \(-0.924649\pi\) |
0.689154 | + | 0.724615i | \(0.257982\pi\) | |||||||
\(278\) | −28.4402 | −1.70573 | ||||||||
\(279\) | −0.738730 | − | 0.185215i | −0.0442266 | − | 0.0110885i | ||||
\(280\) | 2.52060 | + | 8.22603i | 0.150635 | + | 0.491599i | ||||
\(281\) | 1.80220i | 0.107510i | 0.998554 | + | 0.0537552i | \(0.0171191\pi\) | ||||
−0.998554 | + | 0.0537552i | \(0.982881\pi\) | |||||||
\(282\) | 22.9188 | + | 9.27728i | 1.36480 | + | 0.552454i | ||||
\(283\) | 21.3714 | − | 12.3388i | 1.27040 | − | 0.733466i | 0.295337 | − | 0.955393i | \(-0.404568\pi\) |
0.975063 | + | 0.221928i | \(0.0712349\pi\) | |||||||
\(284\) | 12.3586 | − | 7.13523i | 0.733347 | − | 0.423398i | ||||
\(285\) | 0.367209 | + | 2.62531i | 0.0217516 | + | 0.155510i | ||||
\(286\) | 4.75663 | + | 26.7903i | 0.281265 | + | 1.58414i | ||||
\(287\) | 5.53709 | + | 5.15692i | 0.326844 | + | 0.304403i | ||||
\(288\) | 9.79706 | − | 10.1186i | 0.577297 | − | 0.596243i | ||||
\(289\) | 2.53914 | + | 4.39792i | 0.149361 | + | 0.258701i | ||||
\(290\) | 3.23019 | − | 5.59485i | 0.189683 | − | 0.328541i | ||||
\(291\) | −1.85063 | − | 13.2308i | −0.108486 | − | 0.775605i | ||||
\(292\) | 24.6285 | + | 14.2193i | 1.44127 | + | 0.832120i | ||||
\(293\) | 12.1793 | − | 21.0952i | 0.711523 | − | 1.23239i | −0.252762 | − | 0.967528i | \(-0.581339\pi\) |
0.964285 | − | 0.264866i | \(-0.0853277\pi\) | |||||||
\(294\) | −27.5744 | + | 5.87847i | −1.60817 | + | 0.342839i | ||||
\(295\) | 7.21819 | − | 12.5023i | 0.420260 | − | 0.727911i | ||||
\(296\) | −3.24661 | + | 1.87443i | −0.188705 | + | 0.108949i | ||||
\(297\) | −9.93848 | + | 13.6228i | −0.576689 | + | 0.790472i | ||||
\(298\) | 22.5507 | 1.30633 | ||||||||
\(299\) | −6.83005 | + | 18.8349i | −0.394992 | + | 1.08925i | ||||
\(300\) | −23.4558 | + | 3.28083i | −1.35422 | + | 0.189419i | ||||
\(301\) | −7.03021 | + | 30.5387i | −0.405214 | + | 1.76022i | ||||
\(302\) | −9.75687 | + | 5.63313i | −0.561445 | + | 0.324150i | ||||
\(303\) | −8.77676 | + | 21.6823i | −0.504212 | + | 1.24562i | ||||
\(304\) | − | 1.22640i | − | 0.0703386i | ||||||
\(305\) | −10.5183 | − | 6.07275i | −0.602277 | − | 0.347725i | ||||
\(306\) | −23.3642 | − | 5.85789i | −1.33564 | − | 0.334873i | ||||
\(307\) | 17.9759i | 1.02594i | 0.858407 | + | 0.512969i | \(0.171454\pi\) | ||||
−0.858407 | + | 0.512969i | \(0.828546\pi\) | |||||||
\(308\) | −8.57157 | − | 27.9735i | −0.488411 | − | 1.59394i | ||||
\(309\) | −16.8482 | + | 13.1455i | −0.958461 | + | 0.747821i | ||||
\(310\) | −0.293257 | − | 0.507936i | −0.0166559 | − | 0.0288488i | ||||
\(311\) | −28.6085 | −1.62224 | −0.811118 | − | 0.584882i | \(-0.801141\pi\) | ||||
−0.811118 | + | 0.584882i | \(0.801141\pi\) | |||||||
\(312\) | −4.23913 | + | 19.9957i | −0.239993 | + | 1.13204i | ||||
\(313\) | − | 0.862233i | − | 0.0487363i | −0.999703 | − | 0.0243681i | \(-0.992243\pi\) | ||
0.999703 | − | 0.0243681i | \(-0.00775739\pi\) | |||||||
\(314\) | 24.0815 | + | 41.7104i | 1.35900 | + | 2.35386i | ||||
\(315\) | 0.407341 | + | 7.87530i | 0.0229511 | + | 0.443723i | ||||
\(316\) | 13.3775 | − | 23.1705i | 0.752543 | − | 1.30344i | ||||
\(317\) | − | 12.9621i | − | 0.728024i | −0.931394 | − | 0.364012i | \(-0.881407\pi\) | ||
0.931394 | − | 0.364012i | \(-0.118593\pi\) | |||||||
\(318\) | 1.60872 | − | 3.97421i | 0.0902123 | − | 0.222863i | ||||
\(319\) | −4.53731 | + | 7.85886i | −0.254041 | + | 0.440012i | ||||
\(320\) | 12.4284 | 0.694771 | ||||||||
\(321\) | 9.99344 | + | 4.04523i | 0.557779 | + | 0.225783i | ||||
\(322\) | 7.66956 | − | 33.3160i | 0.427408 | − | 1.85663i | ||||
\(323\) | 4.60628 | − | 2.65944i | 0.256300 | − | 0.147975i | ||||
\(324\) | −26.0501 | + | 16.1831i | −1.44723 | + | 0.899064i | ||||
\(325\) | −11.0727 | + | 9.31349i | −0.614202 | + | 0.516620i | ||||
\(326\) | − | 0.817952i | − | 0.0453022i | ||||||
\(327\) | −15.7829 | − | 20.2285i | −0.872795 | − | 1.11864i | ||||
\(328\) | −8.10649 | + | 4.68029i | −0.447606 | + | 0.258426i | ||||
\(329\) | −15.5290 | + | 4.75837i | −0.856142 | + | 0.262337i | ||||
\(330\) | −12.8610 | + | 1.79891i | −0.707976 | + | 0.0990266i | ||||
\(331\) | −2.99634 | + | 5.18982i | −0.164694 | + | 0.285258i | −0.936547 | − | 0.350543i | \(-0.885997\pi\) |
0.771853 | + | 0.635802i | \(0.219330\pi\) | |||||||
\(332\) | 16.1786 | − | 28.0222i | 0.887917 | − | 1.53792i | ||||
\(333\) | −3.30426 | + | 0.942796i | −0.181072 | + | 0.0516649i | ||||
\(334\) | 33.9776 | + | 19.6170i | 1.85917 | + | 1.07339i | ||||
\(335\) | −4.93836 | − | 8.55350i | −0.269812 | − | 0.467328i | ||||
\(336\) | 0.318067 | − | 3.63440i | 0.0173520 | − | 0.198273i | ||||
\(337\) | −0.309894 | −0.0168810 | −0.00844050 | − | 0.999964i | \(-0.502687\pi\) | ||||
−0.00844050 | + | 0.999964i | \(0.502687\pi\) | |||||||
\(338\) | 10.4067 | + | 28.3826i | 0.566052 | + | 1.54381i | ||||
\(339\) | −4.15214 | − | 29.6851i | −0.225513 | − | 1.61227i | ||||
\(340\) | −5.84459 | − | 10.1231i | −0.316967 | − | 0.549004i | ||||
\(341\) | 0.411926 | + | 0.713477i | 0.0223070 | + | 0.0386369i | ||||
\(342\) | 2.61350 | − | 10.4240i | 0.141322 | − | 0.563663i | ||||
\(343\) | 11.6280 | − | 14.4149i | 0.627854 | − | 0.778331i | ||||
\(344\) | −33.5735 | − | 19.3837i | −1.81016 | − | 1.04510i | ||||
\(345\) | −8.86353 | − | 3.58786i | −0.477197 | − | 0.193164i | ||||
\(346\) | − | 48.0694i | − | 2.58423i | ||||||
\(347\) | 14.1898 | + | 8.19250i | 0.761750 | + | 0.439796i | 0.829924 | − | 0.557877i | \(-0.188384\pi\) |
−0.0681740 | + | 0.997673i | \(0.521717\pi\) | |||||||
\(348\) | −13.0117 | + | 10.1521i | −0.697501 | + | 0.544212i | ||||
\(349\) | 13.5833 | − | 7.84235i | 0.727100 | − | 0.419791i | −0.0902604 | − | 0.995918i | \(-0.528770\pi\) |
0.817360 | + | 0.576127i | \(0.195437\pi\) | |||||||
\(350\) | 16.8267 | − | 18.0672i | 0.899424 | − | 0.965730i | ||||
\(351\) | −8.22600 | + | 16.8325i | −0.439072 | + | 0.898452i | ||||
\(352\) | −15.2357 | −0.812064 | ||||||||
\(353\) | 6.04590 | + | 10.4718i | 0.321791 | + | 0.557358i | 0.980858 | − | 0.194726i | \(-0.0623819\pi\) |
−0.659067 | + | 0.752084i | \(0.729049\pi\) | |||||||
\(354\) | −46.1419 | + | 36.0013i | −2.45241 | + | 1.91345i | ||||
\(355\) | 3.60336 | + | 2.08040i | 0.191247 | + | 0.110416i | ||||
\(356\) | 11.7457 | 0.622519 | ||||||||
\(357\) | 14.3404 | − | 6.68656i | 0.758973 | − | 0.353890i | ||||
\(358\) | −5.83550 | + | 10.1074i | −0.308416 | + | 0.534192i | ||||
\(359\) | − | 8.64784i | − | 0.456416i | −0.973612 | − | 0.228208i | \(-0.926713\pi\) | ||
0.973612 | − | 0.228208i | \(-0.0732866\pi\) | |||||||
\(360\) | −9.46262 | − | 2.37247i | −0.498724 | − | 0.125040i | ||||
\(361\) | −8.31349 | − | 14.3994i | −0.437552 | − | 0.757863i | ||||
\(362\) | 14.7372 | + | 25.5256i | 0.774572 | + | 1.34160i | ||||
\(363\) | −0.803502 | + | 0.112388i | −0.0421729 | + | 0.00589884i | ||||
\(364\) | −14.8098 | − | 28.9359i | −0.776243 | − | 1.51665i | ||||
\(365\) | 8.29176i | 0.434010i | ||||||||
\(366\) | 30.2884 | + | 38.8197i | 1.58320 | + | 2.02914i | ||||
\(367\) | −8.18828 | + | 4.72751i | −0.427425 | + | 0.246774i | −0.698249 | − | 0.715855i | \(-0.746037\pi\) |
0.270824 | + | 0.962629i | \(0.412704\pi\) | |||||||
\(368\) | 3.83115 | + | 2.21192i | 0.199713 | + | 0.115304i | ||||
\(369\) | −8.25043 | + | 2.35408i | −0.429500 | + | 0.122548i | ||||
\(370\) | −2.29168 | − | 1.32310i | −0.119139 | − | 0.0687848i | ||||
\(371\) | 0.825120 | + | 2.69279i | 0.0428381 | + | 0.139803i | ||||
\(372\) | 0.207552 | + | 1.48386i | 0.0107611 | + | 0.0769347i | ||||
\(373\) | −0.0165941 | + | 0.0287419i | −0.000859212 | + | 0.00148820i | −0.866455 | − | 0.499256i | \(-0.833607\pi\) |
0.865595 | + | 0.500744i | \(0.166940\pi\) | |||||||
\(374\) | 13.0282 | + | 22.5655i | 0.673673 | + | 1.16684i | ||||
\(375\) | −9.54070 | − | 12.2280i | −0.492680 | − | 0.631454i | ||||
\(376\) | − | 20.0925i | − | 1.03619i | ||||||
\(377\) | −3.43706 | + | 9.47822i | −0.177018 | + | 0.488153i | ||||
\(378\) | 10.4485 | − | 30.2134i | 0.537414 | − | 1.55401i | ||||
\(379\) | 10.3805 | + | 17.9796i | 0.533211 | + | 0.923548i | 0.999248 | + | 0.0387829i | \(0.0123481\pi\) |
−0.466037 | + | 0.884765i | \(0.654319\pi\) | |||||||
\(380\) | 4.51643 | − | 2.60756i | 0.231688 | − | 0.133765i | ||||
\(381\) | 6.99433 | − | 17.2790i | 0.358330 | − | 0.885228i | ||||
\(382\) | −4.26119 | −0.218021 | ||||||||
\(383\) | 6.40969 | − | 11.1019i | 0.327520 | − | 0.567281i | −0.654499 | − | 0.756063i | \(-0.727120\pi\) |
0.982019 | + | 0.188781i | \(0.0604538\pi\) | |||||||
\(384\) | −31.6286 | − | 12.8029i | −1.61404 | − | 0.653346i | ||||
\(385\) | 5.81384 | − | 6.24244i | 0.296301 | − | 0.318144i | ||||
\(386\) | 9.52642 | + | 5.50008i | 0.484882 | + | 0.279947i | ||||
\(387\) | −25.5282 | − | 24.7170i | −1.29767 | − | 1.25644i | ||||
\(388\) | −22.7616 | + | 13.1414i | −1.15554 | + | 0.667153i | ||||
\(389\) | 31.4927i | 1.59675i | 0.602164 | + | 0.798373i | \(0.294305\pi\) | ||||
−0.602164 | + | 0.798373i | \(0.705695\pi\) | |||||||
\(390\) | −13.7195 | + | 4.46580i | −0.694715 | + | 0.226135i | ||||
\(391\) | 19.1862i | 0.970286i | ||||||||
\(392\) | 12.8357 | + | 18.9782i | 0.648301 | + | 0.958544i | ||||
\(393\) | 9.78363 | + | 12.5394i | 0.493519 | + | 0.632529i | ||||
\(394\) | 24.7582 | − | 42.8825i | 1.24730 | − | 2.16039i | ||||
\(395\) | 7.80088 | 0.392505 | ||||||||
\(396\) | 32.1786 | + | 8.06784i | 1.61704 | + | 0.405424i | ||||
\(397\) | −18.6659 | − | 10.7768i | −0.936815 | − | 0.540870i | −0.0478544 | − | 0.998854i | \(-0.515238\pi\) |
−0.888960 | + | 0.457984i | \(0.848572\pi\) | |||||||
\(398\) | 6.14034 | 0.307787 | ||||||||
\(399\) | 2.98321 | + | 6.39796i | 0.149347 | + | 0.320298i | ||||
\(400\) | 1.59739 | + | 2.76676i | 0.0798694 | + | 0.138338i | ||||
\(401\) | 19.9477 | − | 11.5168i | 0.996141 | − | 0.575122i | 0.0890368 | − | 0.996028i | \(-0.471621\pi\) |
0.907104 | + | 0.420906i | \(0.138288\pi\) | |||||||
\(402\) | 5.54653 | + | 39.6541i | 0.276636 | + | 1.97777i | ||||
\(403\) | 0.589189 | + | 0.700479i | 0.0293496 | + | 0.0348934i | ||||
\(404\) | 46.0185 | 2.28950 | ||||||||
\(405\) | −7.88401 | − | 4.21854i | −0.391760 | − | 0.209621i | ||||
\(406\) | 3.85953 | − | 16.7655i | 0.191545 | − | 0.832058i | ||||
\(407\) | 3.21903 | + | 1.85851i | 0.159562 | + | 0.0921229i | ||||
\(408\) | 2.71149 | + | 19.3854i | 0.134239 | + | 0.959719i | ||||
\(409\) | −0.944364 | − | 0.545229i | −0.0466958 | − | 0.0269598i | 0.476470 | − | 0.879191i | \(-0.341916\pi\) |
−0.523166 | + | 0.852231i | \(0.675249\pi\) | |||||||
\(410\) | −5.72212 | − | 3.30367i | −0.282595 | − | 0.163157i | ||||
\(411\) | 0.297073 | + | 2.12388i | 0.0146535 | + | 0.104763i | ||||
\(412\) | 36.4089 | + | 21.0207i | 1.79374 | + | 1.03561i | ||||
\(413\) | 8.62452 | − | 37.4643i | 0.424385 | − | 1.84350i | ||||
\(414\) | 27.8498 | + | 26.9649i | 1.36874 | + | 1.32525i | ||||
\(415\) | 9.43432 | 0.463113 | ||||||||
\(416\) | −16.6666 | + | 2.95916i | −0.817147 | + | 0.145085i | ||||
\(417\) | 2.93440 | + | 20.9791i | 0.143698 | + | 1.02735i | ||||
\(418\) | −10.0676 | + | 5.81254i | −0.492423 | + | 0.284301i | ||||
\(419\) | 6.71289 | + | 11.6271i | 0.327946 | + | 0.568019i | 0.982104 | − | 0.188339i | \(-0.0603103\pi\) |
−0.654158 | + | 0.756358i | \(0.726977\pi\) | |||||||
\(420\) | 14.0606 | − | 6.55613i | 0.686089 | − | 0.319906i | ||||
\(421\) | −14.8776 | −0.725088 | −0.362544 | − | 0.931967i | \(-0.618092\pi\) | ||||
−0.362544 | + | 0.931967i | \(0.618092\pi\) | |||||||
\(422\) | 26.0294 | + | 15.0281i | 1.26709 | + | 0.731556i | ||||
\(423\) | 4.47873 | − | 17.8634i | 0.217763 | − | 0.868550i | ||||
\(424\) | −3.48411 | −0.169204 | ||||||||
\(425\) | −6.92787 | + | 11.9994i | −0.336051 | + | 0.582057i | ||||
\(426\) | −10.3762 | − | 13.2988i | −0.502727 | − | 0.644331i | ||||
\(427\) | −31.5192 | − | 7.25591i | −1.52532 | − | 0.351138i | ||||
\(428\) | − | 21.2100i | − | 1.02523i | ||||||
\(429\) | 19.2713 | − | 6.27293i | 0.930426 | − | 0.302860i | ||||
\(430\) | − | 27.3647i | − | 1.31964i | ||||||
\(431\) | 12.0692 | − | 6.96815i | 0.581352 | − | 0.335644i | −0.180318 | − | 0.983608i | \(-0.557713\pi\) |
0.761671 | + | 0.647964i | \(0.224379\pi\) | |||||||
\(432\) | 3.34194 | + | 2.43811i | 0.160789 | + | 0.117304i | ||||
\(433\) | −33.2539 | − | 19.1991i | −1.59808 | − | 0.922652i | −0.991857 | − | 0.127357i | \(-0.959351\pi\) |
−0.606223 | − | 0.795295i | \(-0.707316\pi\) | |||||||
\(434\) | −1.14296 | − | 1.06449i | −0.0548640 | − | 0.0510971i | ||||
\(435\) | −4.46036 | − | 1.80550i | −0.213858 | − | 0.0865673i | ||||
\(436\) | −25.2380 | + | 43.7136i | −1.20868 | + | 2.09350i | ||||
\(437\) | −8.55991 | −0.409476 | ||||||||
\(438\) | 12.6127 | − | 31.1587i | 0.602658 | − | 1.48882i | ||||
\(439\) | 30.1873 | − | 17.4287i | 1.44076 | − | 0.831825i | 0.442863 | − | 0.896589i | \(-0.353963\pi\) |
0.997901 | + | 0.0647643i | \(0.0206295\pi\) | |||||||
\(440\) | 5.27649 | + | 9.13915i | 0.251547 | + | 0.435692i | ||||
\(441\) | 7.18137 | + | 19.7339i | 0.341970 | + | 0.939711i | ||||
\(442\) | 18.6346 | + | 22.1545i | 0.886359 | + | 1.05378i | ||||
\(443\) | 29.2218i | 1.38837i | 0.719798 | + | 0.694184i | \(0.244234\pi\) | ||||
−0.719798 | + | 0.694184i | \(0.755766\pi\) | |||||||
\(444\) | 4.15838 | + | 5.32967i | 0.197348 | + | 0.252935i | ||||
\(445\) | 1.71233 | + | 2.96584i | 0.0811721 | + | 0.140594i | ||||
\(446\) | 7.62669 | − | 13.2098i | 0.361134 | − | 0.625503i | ||||
\(447\) | −2.32674 | − | 16.6347i | −0.110051 | − | 0.786793i | ||||
\(448\) | 31.6448 | − | 9.69652i | 1.49507 | − | 0.458118i | ||||
\(449\) | −30.5053 | − | 17.6122i | −1.43963 | − | 0.831173i | −0.441809 | − | 0.897109i | \(-0.645663\pi\) |
−0.997824 | + | 0.0659365i | \(0.978997\pi\) | |||||||
\(450\) | 7.68119 | + | 26.9206i | 0.362095 | + | 1.26905i | ||||
\(451\) | 8.03763 | + | 4.64053i | 0.378477 | + | 0.218514i | ||||
\(452\) | −51.0686 | + | 29.4845i | −2.40206 | + | 1.38683i | ||||
\(453\) | 5.16202 | + | 6.61601i | 0.242533 | + | 0.310847i | ||||
\(454\) | − | 41.9086i | − | 1.96687i | ||||||
\(455\) | 5.14743 | − | 7.95792i | 0.241315 | − | 0.373073i | ||||
\(456\) | −8.64879 | + | 1.20973i | −0.405017 | + | 0.0566508i | ||||
\(457\) | −8.52070 | − | 14.7583i | −0.398581 | − | 0.690363i | 0.594970 | − | 0.803748i | \(-0.297164\pi\) |
−0.993551 | + | 0.113385i | \(0.963831\pi\) | |||||||
\(458\) | −10.4299 | − | 18.0652i | −0.487358 | − | 0.844130i | ||||
\(459\) | −1.91044 | + | 17.8392i | −0.0891715 | + | 0.832662i | ||||
\(460\) | 18.8119i | 0.877110i | ||||||||
\(461\) | 8.40395 | − | 14.5561i | 0.391411 | − | 0.677944i | −0.601225 | − | 0.799080i | \(-0.705320\pi\) |
0.992636 | + | 0.121136i | \(0.0386538\pi\) | |||||||
\(462\) | −31.3427 | + | 14.6143i | −1.45819 | + | 0.679920i | ||||
\(463\) | 22.3885 | 1.04048 | 0.520241 | − | 0.854020i | \(-0.325842\pi\) | ||||
0.520241 | + | 0.854020i | \(0.325842\pi\) | |||||||
\(464\) | 1.92794 | + | 1.11310i | 0.0895022 | + | 0.0516741i | ||||
\(465\) | −0.344425 | + | 0.268731i | −0.0159723 | + | 0.0124621i | ||||
\(466\) | −27.1713 | − | 47.0621i | −1.25869 | − | 2.18011i | ||||
\(467\) | 35.3675 | 1.63661 | 0.818305 | − | 0.574784i | \(-0.194914\pi\) | ||||
0.818305 | + | 0.574784i | \(0.194914\pi\) | |||||||
\(468\) | 36.7678 | + | 2.57564i | 1.69959 | + | 0.119059i | ||||
\(469\) | −19.2472 | − | 17.9257i | −0.888752 | − | 0.827731i | ||||
\(470\) | 12.2825 | − | 7.09133i | 0.566551 | − | 0.327099i | ||||
\(471\) | 28.2833 | − | 22.0675i | 1.30323 | − | 1.01682i | ||||
\(472\) | 41.1874 | + | 23.7795i | 1.89580 | + | 1.09454i | ||||
\(473\) | 38.4381i | 1.76739i | ||||||||
\(474\) | −29.3141 | − | 11.8660i | −1.34644 | − | 0.545025i | ||||
\(475\) | −5.35354 | − | 3.09087i | −0.245637 | − | 0.141819i | ||||
\(476\) | −22.7792 | − | 21.2152i | −1.04408 | − | 0.972396i | ||||
\(477\) | −3.09759 | − | 0.776629i | −0.141829 | − | 0.0355594i | ||||
\(478\) | 15.4322 | + | 26.7293i | 0.705852 | + | 1.22257i | ||||
\(479\) | 2.19131 | + | 3.79546i | 0.100124 | + | 0.173419i | 0.911735 | − | 0.410778i | \(-0.134743\pi\) |
−0.811612 | + | 0.584197i | \(0.801410\pi\) | |||||||
\(480\) | −1.11912 | − | 8.00101i | −0.0510807 | − | 0.365194i | ||||
\(481\) | 3.88233 | + | 1.40784i | 0.177019 | + | 0.0641920i | ||||
\(482\) | −63.7183 | −2.90229 | ||||||||
\(483\) | −25.3671 | − | 2.22002i | −1.15424 | − | 0.101014i | ||||
\(484\) | 0.798071 | + | 1.38230i | 0.0362759 | + | 0.0628318i | ||||
\(485\) | −6.63653 | − | 3.83160i | −0.301349 | − | 0.173984i | ||||
\(486\) | 23.2096 | + | 27.8449i | 1.05281 | + | 1.26307i | ||||
\(487\) | 10.9910 | − | 19.0370i | 0.498049 | − | 0.862647i | −0.501948 | − | 0.864898i | \(-0.667383\pi\) |
0.999997 | + | 0.00225101i | \(0.000716520\pi\) | |||||||
\(488\) | 20.0060 | − | 34.6514i | 0.905629 | − | 1.56860i | ||||
\(489\) | −0.603368 | + | 0.0843947i | −0.0272852 | + | 0.00381646i | ||||
\(490\) | −7.07123 | + | 14.5445i | −0.319445 | + | 0.657055i | ||||
\(491\) | −31.4002 | + | 18.1289i | −1.41707 | + | 0.818147i | −0.996041 | − | 0.0888997i | \(-0.971665\pi\) |
−0.421031 | + | 0.907046i | \(0.638332\pi\) | |||||||
\(492\) | 10.3831 | + | 13.3077i | 0.468106 | + | 0.599958i | ||||
\(493\) | 9.65498i | 0.434839i | ||||||||
\(494\) | −9.88421 | + | 8.31384i | −0.444712 | + | 0.374057i | ||||
\(495\) | 2.65395 | + | 9.30142i | 0.119286 | + | 0.418068i | ||||
\(496\) | 0.175030 | − | 0.101054i | 0.00785910 | − | 0.00453745i | ||||
\(497\) | 10.7978 | + | 2.48573i | 0.484348 | + | 0.111500i | ||||
\(498\) | −35.4523 | − | 14.3507i | −1.58865 | − | 0.643069i | ||||
\(499\) | 4.30900 | 0.192897 | 0.0964486 | − | 0.995338i | \(-0.469252\pi\) | ||||
0.0964486 | + | 0.995338i | \(0.469252\pi\) | |||||||
\(500\) | −15.2563 | + | 26.4247i | −0.682283 | + | 1.18175i | ||||
\(501\) | 10.9649 | − | 27.0879i | 0.489874 | − | 1.21020i | ||||
\(502\) | − | 0.956957i | − | 0.0427111i | ||||||
\(503\) | −2.12701 | + | 3.68409i | −0.0948387 | + | 0.164265i | −0.909541 | − | 0.415614i | \(-0.863567\pi\) |
0.814703 | + | 0.579879i | \(0.196900\pi\) | |||||||
\(504\) | −25.9443 | + | 1.34194i | −1.15565 | + | 0.0597748i | ||||
\(505\) | 6.70875 | + | 11.6199i | 0.298535 | + | 0.517078i | ||||
\(506\) | − | 41.9338i | − | 1.86419i | ||||||
\(507\) | 19.8628 | − | 10.6051i | 0.882140 | − | 0.470987i | ||||
\(508\) | −36.6728 | −1.62709 | ||||||||
\(509\) | 7.02933 | + | 12.1752i | 0.311570 | + | 0.539654i | 0.978702 | − | 0.205284i | \(-0.0658119\pi\) |
−0.667133 | + | 0.744939i | \(0.732479\pi\) | |||||||
\(510\) | −10.8933 | + | 8.49930i | −0.482364 | + | 0.376355i | ||||
\(511\) | 6.46913 | + | 21.1121i | 0.286177 | + | 0.933944i | ||||
\(512\) | 8.94911i | 0.395498i | ||||||||
\(513\) | −7.95896 | − | 0.852341i | −0.351397 | − | 0.0376318i | ||||
\(514\) | 8.41759 | + | 4.85990i | 0.371284 | + | 0.214361i | ||||
\(515\) | 12.2579i | 0.540147i | ||||||||
\(516\) | −26.2296 | + | 64.7984i | −1.15470 | + | 2.85259i | ||||
\(517\) | −17.2528 | + | 9.96090i | −0.758777 | + | 0.438080i | ||||
\(518\) | −6.86725 | − | 1.58088i | −0.301729 | − | 0.0694600i | ||||
\(519\) | −35.4587 | + | 4.95971i | −1.55647 | + | 0.217707i | ||||
\(520\) | 7.54711 | + | 8.97266i | 0.330963 | + | 0.393477i | ||||
\(521\) | 7.14275 | 0.312930 | 0.156465 | − | 0.987684i | \(-0.449990\pi\) | ||||
0.156465 | + | 0.987684i | \(0.449990\pi\) | |||||||
\(522\) | 14.0148 | + | 13.5694i | 0.613410 | + | 0.593918i | ||||
\(523\) | −23.1547 | + | 13.3684i | −1.01248 | + | 0.584558i | −0.911918 | − | 0.410372i | \(-0.865399\pi\) |
−0.100566 | + | 0.994930i | \(0.532065\pi\) | |||||||
\(524\) | 15.6448 | − | 27.0976i | 0.683446 | − | 1.18376i | ||||
\(525\) | −15.0635 | − | 10.5482i | −0.657426 | − | 0.460361i | ||||
\(526\) | −27.7455 | + | 48.0566i | −1.20976 | + | 2.09537i | ||||
\(527\) | 0.759106 | + | 0.438270i | 0.0330672 | + | 0.0190914i | ||||
\(528\) | −0.619888 | − | 4.43180i | −0.0269772 | − | 0.192869i | ||||
\(529\) | 3.93858 | − | 6.82182i | 0.171243 | − | 0.296601i | ||||
\(530\) | −1.22966 | − | 2.12984i | −0.0534132 | − | 0.0925144i | ||||
\(531\) | 31.3175 | + | 30.3223i | 1.35906 | + | 1.31588i | ||||
\(532\) | 9.46515 | − | 10.1629i | 0.410366 | − | 0.440619i | ||||
\(533\) | 9.69383 | + | 3.51525i | 0.419886 | + | 0.152262i | ||||
\(534\) | −1.92320 | − | 13.7497i | −0.0832251 | − | 0.595006i | ||||
\(535\) | 5.35564 | − | 3.09208i | 0.231544 | − | 0.133682i | ||||
\(536\) | 28.1785 | − | 16.2689i | 1.21713 | − | 0.702709i | ||||
\(537\) | 8.05788 | + | 3.26174i | 0.347723 | + | 0.140754i | ||||
\(538\) | − | 21.7323i | − | 0.936944i | ||||||
\(539\) | 9.93267 | − | 20.4301i | 0.427830 | − | 0.879987i | ||||
\(540\) | −1.87317 | + | 17.4912i | −0.0806084 | + | 0.752702i | ||||
\(541\) | −28.3425 | −1.21854 | −0.609270 | − | 0.792963i | \(-0.708538\pi\) | ||||
−0.609270 | + | 0.792963i | \(0.708538\pi\) | |||||||
\(542\) | −25.4750 | + | 44.1241i | −1.09425 | + | 1.89529i | ||||
\(543\) | 17.3086 | − | 13.5047i | 0.742783 | − | 0.579543i | ||||
\(544\) | −14.0383 | + | 8.10502i | −0.601887 | + | 0.347500i | ||||
\(545\) | −14.7172 | −0.630415 | ||||||||
\(546\) | −31.4479 | + | 22.0744i | −1.34585 | + | 0.944699i | ||||
\(547\) | −16.6146 | −0.710389 | −0.355194 | − | 0.934792i | \(-0.615585\pi\) | ||||
−0.355194 | + | 0.934792i | \(0.615585\pi\) | |||||||
\(548\) | 3.65380 | − | 2.10952i | 0.156082 | − | 0.0901143i | ||||
\(549\) | 25.5105 | − | 26.3478i | 1.08876 | − | 1.12450i | ||||
\(550\) | 15.1417 | − | 26.2263i | 0.645646 | − | 1.11829i | ||||
\(551\) | −4.30757 | −0.183509 | ||||||||
\(552\) | 11.8198 | − | 29.1999i | 0.503084 | − | 1.24283i | ||||
\(553\) | 19.8623 | − | 6.08616i | 0.844629 | − | 0.258810i | ||||
\(554\) | − | 21.9023i | − | 0.930541i | ||||||
\(555\) | −0.739545 | + | 1.82699i | −0.0313919 | + | 0.0775514i | ||||
\(556\) | 36.0912 | − | 20.8373i | 1.53061 | − | 0.883698i | ||||
\(557\) | 12.6092 | − | 7.27991i | 0.534267 | − | 0.308459i | −0.208485 | − | 0.978026i | \(-0.566853\pi\) |
0.742752 | + | 0.669566i | \(0.233520\pi\) | |||||||
\(558\) | 1.70305 | − | 0.485927i | 0.0720958 | − | 0.0205709i | ||||
\(559\) | 7.46567 | + | 42.0482i | 0.315764 | + | 1.77845i | ||||
\(560\) | −1.53140 | − | 1.42625i | −0.0647134 | − | 0.0602702i | ||||
\(561\) | 15.3014 | − | 11.9386i | 0.646026 | − | 0.504049i | ||||
\(562\) | −2.09543 | − | 3.62939i | −0.0883902 | − | 0.153096i | ||||
\(563\) | −5.51013 | + | 9.54383i | −0.232224 | + | 0.402224i | −0.958462 | − | 0.285219i | \(-0.907934\pi\) |
0.726238 | + | 0.687443i | \(0.241267\pi\) | |||||||
\(564\) | −35.8817 | + | 5.01887i | −1.51089 | + | 0.211333i | ||||
\(565\) | −14.8899 | − | 8.59671i | −0.626424 | − | 0.361666i | ||||
\(566\) | −28.6927 | + | 49.6973i | −1.20605 | + | 2.08893i | ||||
\(567\) | −23.3652 | − | 4.59006i | −0.981245 | − | 0.192764i | ||||
\(568\) | −6.85365 | + | 11.8709i | −0.287573 | + | 0.498090i | ||||
\(569\) | 16.6811 | − | 9.63084i | 0.699308 | − | 0.403746i | −0.107781 | − | 0.994175i | \(-0.534375\pi\) |
0.807090 | + | 0.590429i | \(0.201041\pi\) | |||||||
\(570\) | −3.79196 | − | 4.86005i | −0.158828 | − | 0.203565i | ||||
\(571\) | 22.2001 | 0.929046 | 0.464523 | − | 0.885561i | \(-0.346226\pi\) | ||||
0.464523 | + | 0.885561i | \(0.346226\pi\) | |||||||
\(572\) | −25.6647 | − | 30.5125i | −1.07310 | − | 1.27579i | ||||
\(573\) | 0.439661 | + | 3.14329i | 0.0183671 | + | 0.131313i | ||||
\(574\) | −17.1469 | − | 3.94732i | −0.715698 | − | 0.164758i | ||||
\(575\) | 19.3112 | − | 11.1493i | 0.805333 | − | 0.464959i | ||||
\(576\) | −9.12668 | + | 36.4018i | −0.380278 | + | 1.51674i | ||||
\(577\) | 29.5912i | 1.23190i | 0.787787 | + | 0.615948i | \(0.211227\pi\) | ||||
−0.787787 | + | 0.615948i | \(0.788773\pi\) | |||||||
\(578\) | −10.2269 | − | 5.90453i | −0.425385 | − | 0.245596i | ||||
\(579\) | 3.07425 | − | 7.59472i | 0.127762 | − | 0.315626i | ||||
\(580\) | 9.46665i | 0.393081i | ||||||||
\(581\) | 24.0213 | − | 7.36054i | 0.996569 | − | 0.305367i | ||||
\(582\) | 19.1104 | + | 24.4933i | 0.792153 | + | 1.01528i | ||||
\(583\) | 1.72726 | + | 2.99170i | 0.0715358 | + | 0.123904i | ||||
\(584\) | −27.3163 | −1.13035 | ||||||||
\(585\) | 4.70979 | + | 9.65954i | 0.194726 | + | 0.399373i | ||||
\(586\) | 56.6437i | 2.33993i | ||||||||
\(587\) | −15.3668 | − | 26.6162i | −0.634258 | − | 1.09857i | −0.986672 | − | 0.162722i | \(-0.947973\pi\) |
0.352414 | − | 0.935844i | \(-0.385361\pi\) | |||||||
\(588\) | 30.6856 | − | 27.6629i | 1.26545 | − | 1.14080i | ||||
\(589\) | −0.195534 | + | 0.338675i | −0.00805685 | + | 0.0139549i | ||||
\(590\) | 33.5705i | 1.38207i | ||||||||
\(591\) | −34.1871 | − | 13.8385i | −1.40627 | − | 0.569242i | ||||
\(592\) | 0.455930 | − | 0.789694i | 0.0187386 | − | 0.0324562i | ||||
\(593\) | −1.66886 | −0.0685320 | −0.0342660 | − | 0.999413i | \(-0.510909\pi\) | ||||
−0.0342660 | + | 0.999413i | \(0.510909\pi\) | |||||||
\(594\) | 4.17550 | − | 38.9898i | 0.171323 | − | 1.59977i | ||||
\(595\) | 2.03610 | − | 8.84468i | 0.0834720 | − | 0.362597i | ||||
\(596\) | −28.6173 | + | 16.5222i | −1.17221 | + | 0.676776i | ||||
\(597\) | −0.633548 | − | 4.52946i | −0.0259294 | − | 0.185379i | ||||
\(598\) | −8.14463 | − | 45.8722i | −0.333059 | − | 1.87585i | ||||
\(599\) | − | 26.2751i | − | 1.07357i | −0.843719 | − | 0.536785i | \(-0.819639\pi\) | ||
0.843719 | − | 0.536785i | \(-0.180361\pi\) | |||||||
\(600\) | 17.9360 | − | 13.9943i | 0.732236 | − | 0.571313i | ||||
\(601\) | 10.4226 | − | 6.01747i | 0.425145 | − | 0.245458i | −0.272131 | − | 0.962260i | \(-0.587728\pi\) |
0.697276 | + | 0.716803i | \(0.254395\pi\) | |||||||
\(602\) | −21.3496 | − | 69.6748i | −0.870145 | − | 2.83973i | ||||
\(603\) | 28.6789 | − | 8.18288i | 1.16789 | − | 0.333232i | ||||
\(604\) | 8.25446 | − | 14.2972i | 0.335869 | − | 0.581743i | ||||
\(605\) | −0.232692 | + | 0.403034i | −0.00946026 | + | 0.0163856i | ||||
\(606\) | −7.53494 | − | 53.8700i | −0.306086 | − | 2.18832i | ||||
\(607\) | −9.90743 | − | 5.72005i | −0.402130 | − | 0.232170i | 0.285273 | − | 0.958446i | \(-0.407916\pi\) |
−0.687403 | + | 0.726277i | \(0.741249\pi\) | |||||||
\(608\) | −3.61606 | − | 6.26319i | −0.146650 | − | 0.254006i | ||||
\(609\) | −12.7654 | − | 1.11717i | −0.517281 | − | 0.0452701i | ||||
\(610\) | 28.2432 | 1.14353 | ||||||||
\(611\) | −16.9385 | + | 14.2474i | −0.685258 | + | 0.576386i | ||||
\(612\) | 33.9416 | − | 9.68449i | 1.37201 | − | 0.391472i | ||||
\(613\) | 13.0562 | + | 22.6140i | 0.527335 | + | 0.913370i | 0.999492 | + | 0.0318564i | \(0.0101419\pi\) |
−0.472158 | + | 0.881514i | \(0.656525\pi\) | |||||||
\(614\) | −20.9006 | − | 36.2009i | −0.843481 | − | 1.46095i | ||||
\(615\) | −1.84658 | + | 4.56183i | −0.0744612 | + | 0.183951i | ||||
\(616\) | 20.5650 | + | 19.1530i | 0.828588 | + | 0.771698i | ||||
\(617\) | 26.2287 | + | 15.1431i | 1.05593 | + | 0.609639i | 0.924303 | − | 0.381660i | \(-0.124648\pi\) |
0.131624 | + | 0.991300i | \(0.457981\pi\) | |||||||
\(618\) | 18.6456 | − | 46.0627i | 0.750038 | − | 1.85291i | ||||
\(619\) | 17.4602i | 0.701786i | 0.936416 | + | 0.350893i | \(0.114122\pi\) | ||||
−0.936416 | + | 0.350893i | \(0.885878\pi\) | |||||||
\(620\) | 0.744299 | + | 0.429721i | 0.0298918 | + | 0.0172580i | ||||
\(621\) | 17.0173 | − | 23.3258i | 0.682883 | − | 0.936032i | ||||
\(622\) | 57.6134 | − | 33.2631i | 2.31009 | − | 1.33373i | ||||
\(623\) | 6.67376 | + | 6.21555i | 0.267379 | + | 0.249021i | ||||
\(624\) | −1.53888 | − | 4.72763i | −0.0616044 | − | 0.189257i | ||||
\(625\) | 11.1681 | 0.446723 | ||||||||
\(626\) | 1.00252 | + | 1.73642i | 0.0400688 | + | 0.0694012i | ||||
\(627\) | 5.32642 | + | 6.82672i | 0.212717 | + | 0.272633i | ||||
\(628\) | −61.1200 | − | 35.2877i | −2.43895 | − | 1.40813i | ||||
\(629\) | 3.95474 | 0.157686 | ||||||||
\(630\) | −9.97696 | − | 15.3861i | −0.397492 | − | 0.612998i | ||||
\(631\) | 15.6357 | − | 27.0818i | 0.622446 | − | 1.07811i | −0.366583 | − | 0.930385i | \(-0.619472\pi\) |
0.989029 | − | 0.147722i | \(-0.0471942\pi\) | |||||||
\(632\) | 25.6991i | 1.02226i | ||||||||
\(633\) | 8.39991 | − | 20.7513i | 0.333866 | − | 0.824792i | ||||
\(634\) | 15.0711 | + | 26.1039i | 0.598549 | + | 1.03672i | ||||
\(635\) | −5.34630 | − | 9.26006i | −0.212161 | − | 0.367474i | ||||
\(636\) | 0.870292 | + | 6.22202i | 0.0345093 | + | 0.246719i | ||||
\(637\) | 6.89748 | − | 24.2781i | 0.273288 | − | 0.961932i | ||||
\(638\) | − | 21.1022i | − | 0.835444i | ||||||
\(639\) | −8.73939 | + | 9.02621i | −0.345725 | + | 0.357071i | ||||
\(640\) | −16.9503 | + | 9.78624i | −0.670018 | + | 0.386835i | ||||
\(641\) | 19.6915 | + | 11.3689i | 0.777766 | + | 0.449043i | 0.835638 | − | 0.549281i | \(-0.185098\pi\) |
−0.0578722 | + | 0.998324i | \(0.518432\pi\) | |||||||
\(642\) | −24.8288 | + | 3.47287i | −0.979914 | + | 0.137063i | ||||
\(643\) | 14.1454 | + | 8.16683i | 0.557839 | + | 0.322068i | 0.752278 | − | 0.658846i | \(-0.228955\pi\) |
−0.194439 | + | 0.980915i | \(0.562289\pi\) | |||||||
\(644\) | 14.6768 | + | 47.8981i | 0.578348 | + | 1.88745i | ||||
\(645\) | −20.1858 | + | 2.82344i | −0.794814 | + | 0.111173i | ||||
\(646\) | −6.18428 | + | 10.7115i | −0.243317 | + | 0.421438i | ||||
\(647\) | −9.43158 | − | 16.3360i | −0.370794 | − | 0.642233i | 0.618894 | − | 0.785474i | \(-0.287581\pi\) |
−0.989688 | + | 0.143241i | \(0.954248\pi\) | |||||||
\(648\) | 13.8975 | − | 25.9730i | 0.545946 | − | 1.02032i | ||||
\(649\) | − | 47.1551i | − | 1.85100i | ||||||
\(650\) | 11.4700 | − | 31.6303i | 0.449891 | − | 1.24064i | ||||
\(651\) | −0.667298 | + | 0.952947i | −0.0261535 | + | 0.0373489i | ||||
\(652\) | 0.599289 | + | 1.03800i | 0.0234700 | + | 0.0406512i | ||||
\(653\) | −24.9249 | + | 14.3904i | −0.975387 | + | 0.563140i | −0.900874 | − | 0.434080i | \(-0.857073\pi\) |
−0.0745126 | + | 0.997220i | \(0.523740\pi\) | |||||||
\(654\) | 55.3042 | + | 22.3865i | 2.16257 | + | 0.875382i | ||||
\(655\) | 9.12302 | 0.356466 | ||||||||
\(656\) | 1.13842 | − | 1.97179i | 0.0444477 | − | 0.0769857i | ||||
\(657\) | −24.2858 | − | 6.08895i | −0.947480 | − | 0.237553i | ||||
\(658\) | 25.7407 | − | 27.6383i | 1.00348 | − | 1.07745i | ||||
\(659\) | −16.6013 | − | 9.58474i | −0.646693 | − | 0.373369i | 0.140495 | − | 0.990081i | \(-0.455131\pi\) |
−0.787188 | + | 0.616713i | \(0.788464\pi\) | |||||||
\(660\) | 15.0029 | − | 11.7058i | 0.583988 | − | 0.455646i | ||||
\(661\) | −3.87309 | + | 2.23613i | −0.150646 | + | 0.0869753i | −0.573428 | − | 0.819256i | \(-0.694387\pi\) |
0.422782 | + | 0.906231i | \(0.361053\pi\) | |||||||
\(662\) | − | 13.9354i | − | 0.541616i | ||||||
\(663\) | 14.4197 | − | 16.0318i | 0.560015 | − | 0.622624i | ||||
\(664\) | 31.0803i | 1.20615i | ||||||||
\(665\) | 3.94606 | + | 0.908407i | 0.153021 | + | 0.0352265i | ||||
\(666\) | 5.55812 | − | 5.74053i | 0.215373 | − | 0.222441i | ||||
\(667\) | 7.76910 | − | 13.4565i | 0.300821 | − | 0.521037i | ||||
\(668\) | −57.4912 | −2.22440 | ||||||||
\(669\) | −10.5312 | − | 4.26292i | −0.407161 | − | 0.164814i | ||||
\(670\) | 19.8904 | + | 11.4837i | 0.768432 | + | 0.443654i | ||||
\(671\) | −39.6721 | −1.53153 | ||||||||
\(672\) | −9.09175 | − | 19.4987i | −0.350722 | − | 0.752178i | ||||
\(673\) | 0.348930 | + | 0.604365i | 0.0134503 | + | 0.0232965i | 0.872672 | − | 0.488307i | \(-0.162385\pi\) |
−0.859222 | + | 0.511603i | \(0.829052\pi\) | |||||||
\(674\) | 0.624083 | − | 0.360315i | 0.0240388 | − | 0.0138788i | ||||
\(675\) | 19.0656 | − | 8.44370i | 0.733837 | − | 0.324998i | ||||
\(676\) | −34.0015 | − | 28.3934i | −1.30775 | − | 1.09205i | ||||
\(677\) | 15.5029 | 0.595823 | 0.297912 | − | 0.954593i | \(-0.403710\pi\) | ||||
0.297912 | + | 0.954593i | \(0.403710\pi\) | |||||||
\(678\) | 42.8768 | + | 54.9540i | 1.64667 | + | 2.11050i | ||||
\(679\) | −19.8870 | − | 4.57812i | −0.763193 | − | 0.175692i | ||||
\(680\) | 9.72363 | + | 5.61394i | 0.372884 | + | 0.215285i | ||||
\(681\) | −30.9141 | + | 4.32405i | −1.18463 | + | 0.165698i | ||||
\(682\) | −1.65912 | − | 0.957896i | −0.0635311 | − | 0.0366797i | ||||
\(683\) | −29.1164 | − | 16.8103i | −1.11411 | − | 0.643230i | −0.174217 | − | 0.984707i | \(-0.555739\pi\) |
−0.939890 | + | 0.341477i | \(0.889073\pi\) | |||||||
\(684\) | 4.32074 | + | 15.1431i | 0.165207 | + | 0.579010i | ||||
\(685\) | 1.06533 | + | 0.615068i | 0.0407041 | + | 0.0235005i | ||||
\(686\) | −6.65697 | + | 42.5495i | −0.254164 | + | 1.62455i | ||||
\(687\) | −12.2498 | + | 9.55764i | −0.467357 | + | 0.364647i | ||||
\(688\) | 9.42965 | 0.359502 | ||||||||
\(689\) | 2.47055 | + | 2.93720i | 0.0941204 | + | 0.111898i | ||||
\(690\) | 22.0215 | − | 3.08021i | 0.838346 | − | 0.117262i | ||||
\(691\) | −13.1236 | + | 7.57692i | −0.499246 | + | 0.288240i | −0.728402 | − | 0.685150i | \(-0.759737\pi\) |
0.229156 | + | 0.973390i | \(0.426403\pi\) | |||||||
\(692\) | 35.2191 | + | 61.0012i | 1.33883 | + | 2.31892i | ||||
\(693\) | 14.0142 | + | 21.6123i | 0.532357 | + | 0.820983i | ||||
\(694\) | −38.1018 | −1.44632 | ||||||||
\(695\) | 10.5230 | + | 6.07548i | 0.399161 | + | 0.230456i | ||||
\(696\) | 5.94803 | − | 14.6942i | 0.225460 | − | 0.556981i | ||||
\(697\) | 9.87462 | 0.374028 | ||||||||
\(698\) | −18.2366 | + | 31.5868i | −0.690267 | + | 1.19558i | ||||
\(699\) | −31.9122 | + | 24.8989i | −1.20703 | + | 0.941763i | ||||
\(700\) | −8.11617 | + | 35.2561i | −0.306762 | + | 1.33255i | ||||
\(701\) | 32.2808i | 1.21923i | 0.792697 | + | 0.609615i | \(0.208676\pi\) | ||||
−0.792697 | + | 0.609615i | \(0.791324\pi\) | |||||||
\(702\) | −3.00517 | − | 43.4627i | −0.113423 | − | 1.64039i | ||||
\(703\) | 1.76441i | 0.0665458i | ||||||||
\(704\) | 35.1575 | − | 20.2982i | 1.32505 | − | 0.765016i | ||||
\(705\) | −6.49826 | − | 8.32863i | −0.244739 | − | 0.313674i | ||||
\(706\) | −24.3512 | − | 14.0592i | −0.916469 | − | 0.529124i | ||||
\(707\) | 26.1472 | + | 24.3520i | 0.983367 | + | 0.915850i | ||||
\(708\) | 32.1780 | − | 79.4933i | 1.20932 | − | 2.98754i | ||||
\(709\) | −13.5154 | + | 23.4093i | −0.507581 | + | 0.879155i | 0.492381 | + | 0.870380i | \(0.336127\pi\) |
−0.999961 | + | 0.00877549i | \(0.997207\pi\) | |||||||
\(710\) | −9.67555 | −0.363117 | ||||||||
\(711\) | −5.72848 | + | 22.8481i | −0.214835 | + | 0.856871i | ||||
\(712\) | −9.77062 | + | 5.64107i | −0.366169 | + | 0.211408i | ||||
\(713\) | −0.705328 | − | 1.22166i | −0.0264147 | − | 0.0457517i | ||||
\(714\) | −21.1050 | + | 30.1394i | −0.789836 | + | 1.12794i | ||||
\(715\) | 3.96304 | − | 10.9287i | 0.148209 | − | 0.408710i | ||||
\(716\) | − | 17.1020i | − | 0.639132i | ||||||
\(717\) | 18.1248 | − | 14.1415i | 0.676883 | − | 0.528125i | ||||
\(718\) | 10.0549 | + | 17.4155i | 0.375244 | + | 0.649942i | ||||
\(719\) | −7.06963 | + | 12.2450i | −0.263653 | + | 0.456660i | −0.967210 | − | 0.253979i | \(-0.918261\pi\) |
0.703557 | + | 0.710639i | \(0.251594\pi\) | |||||||
\(720\) | 2.28183 | − | 0.651069i | 0.0850387 | − | 0.0242639i | ||||
\(721\) | 9.56346 | + | 31.2105i | 0.356162 | + | 1.16234i | ||||
\(722\) | 33.4844 | + | 19.3322i | 1.24616 | + | 0.719472i | ||||
\(723\) | 6.57434 | + | 47.0023i | 0.244502 | + | 1.74803i | ||||
\(724\) | −37.4038 | − | 21.5951i | −1.39010 | − | 0.802575i | ||||
\(725\) | 9.71791 | − | 5.61064i | 0.360914 | − | 0.208374i | ||||
\(726\) | 1.48747 | − | 1.16057i | 0.0552051 | − | 0.0430727i | ||||
\(727\) | 2.05755i | 0.0763102i | 0.999272 | + | 0.0381551i | \(0.0121481\pi\) | ||||
−0.999272 | + | 0.0381551i | \(0.987852\pi\) | |||||||
\(728\) | 26.2165 | + | 16.9576i | 0.971647 | + | 0.628491i | ||||
\(729\) | 18.1453 | − | 19.9937i | 0.672047 | − | 0.740508i | ||||
\(730\) | −9.64085 | − | 16.6984i | −0.356824 | − | 0.618037i | ||||
\(731\) | 20.4482 | + | 35.4173i | 0.756303 | + | 1.30996i | ||||
\(732\) | −66.8787 | − | 27.0717i | −2.47191 | − | 1.00060i | ||||
\(733\) | − | 8.27890i | − | 0.305788i | −0.988243 | − | 0.152894i | \(-0.951141\pi\) | ||
0.988243 | − | 0.152894i | \(-0.0488593\pi\) | |||||||
\(734\) | 10.9934 | − | 19.0411i | 0.405773 | − | 0.702819i | ||||
\(735\) | 11.4585 | + | 3.71546i | 0.422652 | + | 0.137047i | ||||
\(736\) | 26.0876 | 0.961600 | ||||||||
\(737\) | −27.9392 | − | 16.1307i | −1.02915 | − | 0.594182i | ||||
\(738\) | 13.8781 | − | 14.3336i | 0.510861 | − | 0.527626i | ||||
\(739\) | 25.6935 | + | 44.5024i | 0.945151 | + | 1.63705i | 0.755450 | + | 0.655207i | \(0.227419\pi\) |
0.189701 | + | 0.981842i | \(0.439248\pi\) | |||||||
\(740\) | 3.87759 | 0.142543 | ||||||||
\(741\) | 7.15260 | + | 6.43335i | 0.262757 | + | 0.236335i | ||||
\(742\) | −4.79259 | − | 4.46354i | −0.175942 | − | 0.163862i | ||||
\(743\) | −24.6284 | + | 14.2192i | −0.903527 | + | 0.521651i | −0.878343 | − | 0.478031i | \(-0.841351\pi\) |
−0.0251840 | + | 0.999683i | \(0.508017\pi\) | |||||||
\(744\) | −0.885303 | − | 1.13467i | −0.0324568 | − | 0.0415990i | ||||
\(745\) | −8.34388 | − | 4.81734i | −0.305696 | − | 0.176494i | ||||
\(746\) | − | 0.0771762i | − | 0.00282562i | ||||||
\(747\) | −6.92798 | + | 27.6323i | −0.253482 | + | 1.01101i | ||||
\(748\) | −33.0662 | − | 19.0908i | −1.20902 | − | 0.698028i | ||||
\(749\) | 11.2239 | − | 12.0513i | 0.410112 | − | 0.440345i | ||||
\(750\) | 33.4312 | + | 13.5326i | 1.22074 | + | 0.494140i | ||||
\(751\) | 11.0996 | + | 19.2251i | 0.405032 | + | 0.701535i | 0.994325 | − | 0.106384i | \(-0.0339272\pi\) |
−0.589294 | + | 0.807919i | \(0.700594\pi\) | |||||||
\(752\) | 2.44361 | + | 4.23246i | 0.0891094 | + | 0.154342i | ||||
\(753\) | −0.705906 | + | 0.0987370i | −0.0257246 | + | 0.00359818i | ||||
\(754\) | −4.09859 | − | 23.0841i | −0.149262 | − | 0.840673i | ||||
\(755\) | 4.81347 | 0.175180 | ||||||||
\(756\) | 8.87706 | + | 45.9968i | 0.322855 | + | 1.67289i | ||||
\(757\) | 3.40501 | + | 5.89765i | 0.123757 | + | 0.214354i | 0.921246 | − | 0.388979i | \(-0.127172\pi\) |
−0.797489 | + | 0.603333i | \(0.793839\pi\) | |||||||
\(758\) | −41.8098 | − | 24.1389i | −1.51860 | − | 0.876764i | ||||
\(759\) | −30.9328 | + | 4.32665i | −1.12279 | + | 0.157047i | ||||
\(760\) | −2.50466 | + | 4.33820i | −0.0908536 | + | 0.157363i | ||||
\(761\) | 8.91462 | − | 15.4406i | 0.323155 | − | 0.559720i | −0.657982 | − | 0.753033i | \(-0.728590\pi\) |
0.981137 | + | 0.193313i | \(0.0619233\pi\) | |||||||
\(762\) | 6.00470 | + | 42.9298i | 0.217527 | + | 1.55518i | ||||
\(763\) | −37.4723 | + | 11.4822i | −1.35659 | + | 0.415683i | ||||
\(764\) | 5.40754 | − | 3.12205i | 0.195638 | − | 0.112952i | ||||
\(765\) | 7.39352 | + | 7.15859i | 0.267313 | + | 0.258819i | ||||
\(766\) | 29.8103i | 1.07709i | ||||||||
\(767\) | −9.15873 | − | 51.5838i | −0.330703 | − | 1.86258i | ||||
\(768\) | 35.6652 | − | 4.98859i | 1.28696 | − | 0.180010i | ||||
\(769\) | 32.8631 | − | 18.9735i | 1.18507 | − | 0.684203i | 0.227891 | − | 0.973687i | \(-0.426817\pi\) |
0.957183 | + | 0.289484i | \(0.0934837\pi\) | |||||||
\(770\) | −4.45016 | + | 19.3312i | −0.160373 | + | 0.696647i | ||||
\(771\) | 2.71643 | − | 6.71073i | 0.0978297 | − | 0.241681i | ||||
\(772\) | −16.1190 | −0.580135 | ||||||||
\(773\) | 14.3153 | − | 24.7948i | 0.514885 | − | 0.891807i | −0.484966 | − | 0.874533i | \(-0.661168\pi\) |
0.999851 | − | 0.0172738i | \(-0.00549870\pi\) | |||||||
\(774\) | 80.1488 | + | 20.0949i | 2.88089 | + | 0.722298i | ||||
\(775\) | − | 1.01874i | − | 0.0365942i | ||||||
\(776\) | 12.6228 | − | 21.8633i | 0.453132 | − | 0.784847i | ||||
\(777\) | −0.457600 | + | 5.22878i | −0.0164163 | + | 0.187582i | ||||
\(778\) | −36.6167 | − | 63.4220i | −1.31277 | − | 2.27379i | ||||
\(779\) | 4.40556i | 0.157846i | ||||||||
\(780\) | 14.1384 | − | 15.7191i | 0.506237 | − | 0.562834i | ||||
\(781\) | 13.5909 | 0.486319 | ||||||||
\(782\) | −22.3078 | − | 38.6383i | −0.797726 | − | 1.38170i | ||||
\(783\) | 8.56358 | − | 11.7382i | 0.306037 | − | 0.419488i | ||||
\(784\) | −5.01192 | − | 2.43668i | −0.178997 | − | 0.0870244i | ||||
\(785\) | − | 20.5775i | − | 0.734441i | ||||||
\(786\) | −34.2825 | − | 13.8772i | −1.22282 | − | 0.494982i | ||||
\(787\) | 31.9616 | + | 18.4530i | 1.13931 | + | 0.657779i | 0.946259 | − | 0.323410i | \(-0.104829\pi\) |
0.193048 | + | 0.981189i | \(0.438163\pi\) | |||||||
\(788\) | 72.5585i | 2.58479i | ||||||||
\(789\) | 38.3121 | + | 15.5083i | 1.36395 | + | 0.552109i | ||||
\(790\) | −15.7099 | + | 9.07011i | −0.558933 | + | 0.322700i | ||||
\(791\) | −44.6191 | − | 10.2716i | −1.58647 | − | 0.365216i | ||||
\(792\) | −30.6425 | + | 8.74315i | −1.08883 | + | 0.310674i | ||||
\(793\) | −43.3981 | + | 7.70535i | −1.54111 | + | 0.273625i | ||||
\(794\) | 50.1207 | 1.77872 | ||||||||
\(795\) | −1.44422 | + | 1.12682i | −0.0512211 | + | 0.0399643i | ||||
\(796\) | −7.79223 | + | 4.49884i | −0.276188 | + | 0.159457i | ||||
\(797\) | 9.40846 | − | 16.2959i | 0.333265 | − | 0.577232i | −0.649885 | − | 0.760032i | \(-0.725183\pi\) |
0.983150 | + | 0.182801i | \(0.0585164\pi\) | |||||||
\(798\) | −13.4467 | − | 9.41601i | −0.476008 | − | 0.333323i | ||||
\(799\) | −10.5979 | + | 18.3562i | −0.374928 | + | 0.649395i | ||||
\(800\) | 16.3157 | + | 9.41987i | 0.576847 | + | 0.333043i | ||||
\(801\) | −9.94410 | + | 2.83733i | −0.351358 | + | 0.100252i | ||||
\(802\) | −26.7813 | + | 46.3865i | −0.945680 | + | 1.63797i | ||||
\(803\) | 13.5421 | + | 23.4556i | 0.477891 | + | 0.827731i | ||||
\(804\) | −36.0921 | − | 46.2582i | −1.27287 | − | 1.63140i | ||||
\(805\) | −9.95486 | + | 10.6887i | −0.350863 | + | 0.376728i | ||||
\(806\) | −2.00100 | − | 0.725616i | −0.0704820 | − | 0.0255587i | ||||
\(807\) | −16.0309 | + | 2.24229i | −0.564316 | + | 0.0789324i | ||||
\(808\) | −38.2804 | + | 22.1012i | −1.34670 | + | 0.777518i | ||||
\(809\) | −6.06225 | + | 3.50004i | −0.213137 | + | 0.123055i | −0.602769 | − | 0.797916i | \(-0.705936\pi\) |
0.389631 | + | 0.920971i | \(0.372602\pi\) | |||||||
\(810\) | 20.7822 | − | 0.671201i | 0.730213 | − | 0.0235836i | ||||
\(811\) | − | 18.2312i | − | 0.640186i | −0.947386 | − | 0.320093i | \(-0.896286\pi\) | ||
0.947386 | − | 0.320093i | \(-0.103714\pi\) | |||||||
\(812\) | 7.38577 | + | 24.1036i | 0.259190 | + | 0.845870i | ||||
\(813\) | 35.1769 | + | 14.2392i | 1.23371 | + | 0.499391i | ||||
\(814\) | −8.64358 | −0.302957 | ||||||||
\(815\) | −0.174733 | + | 0.302647i | −0.00612064 | + | 0.0106013i | ||||
\(816\) | −2.92879 | − | 3.75374i | −0.102528 | − | 0.131407i | ||||
\(817\) | −15.8014 | + | 9.12296i | −0.552822 | + | 0.319172i | ||||
\(818\) | 2.53576 | 0.0886606 | ||||||||
\(819\) | 19.5281 | + | 20.9202i | 0.682367 | + | 0.731010i | ||||
\(820\) | 9.68201 | 0.338110 | ||||||||
\(821\) | 35.7015 | − | 20.6123i | 1.24599 | − | 0.719373i | 0.275684 | − | 0.961248i | \(-0.411096\pi\) |
0.970307 | + | 0.241875i | \(0.0777624\pi\) | |||||||
\(822\) | −3.06770 | − | 3.93179i | −0.106998 | − | 0.137137i | ||||
\(823\) | −0.377035 | + | 0.653044i | −0.0131426 | + | 0.0227637i | −0.872522 | − | 0.488575i | \(-0.837517\pi\) |
0.859379 | + | 0.511339i | \(0.170850\pi\) | |||||||
\(824\) | −40.3822 | −1.40678 | ||||||||
\(825\) | −20.9083 | − | 8.46344i | −0.727933 | − | 0.294659i | ||||
\(826\) | 26.1913 | + | 85.4756i | 0.911311 | + | 2.97408i | ||||
\(827\) | 3.14508i | 0.109365i | 0.998504 | + | 0.0546826i | \(0.0174147\pi\) | ||||
−0.998504 | + | 0.0546826i | \(0.982585\pi\) | |||||||
\(828\) | −55.0985 | − | 13.8143i | −1.91480 | − | 0.480080i | ||||
\(829\) | −18.0808 | + | 10.4390i | −0.627973 | + | 0.362561i | −0.779967 | − | 0.625821i | \(-0.784764\pi\) |
0.151993 | + | 0.988382i | \(0.451431\pi\) | |||||||
\(830\) | −18.9994 | + | 10.9693i | −0.659479 | + | 0.380751i | ||||
\(831\) | −16.1564 | + | 2.25984i | −0.560459 | + | 0.0783930i | ||||
\(832\) | 34.5170 | − | 29.0330i | 1.19666 | − | 1.00654i | ||||
\(833\) | −1.71628 | − | 24.1085i | −0.0594657 | − | 0.835309i | ||||
\(834\) | −30.3019 | − | 38.8371i | −1.04927 | − | 1.34482i | ||||
\(835\) | −8.38128 | − | 14.5168i | −0.290046 | − | 0.502375i | ||||
\(836\) | 8.51736 | − | 14.7525i | 0.294579 | − | 0.510226i | ||||
\(837\) | −0.534165 | − | 1.20613i | −0.0184634 | − | 0.0416899i | ||||
\(838\) | −27.0376 | − | 15.6102i | −0.934000 | − | 0.539245i | ||||
\(839\) | −11.0796 | + | 19.1904i | −0.382510 | + | 0.662527i | −0.991420 | − | 0.130712i | \(-0.958274\pi\) |
0.608910 | + | 0.793239i | \(0.291607\pi\) | |||||||
\(840\) | −8.54763 | + | 12.2066i | −0.294921 | + | 0.421167i | ||||
\(841\) | −10.5904 | + | 18.3431i | −0.365186 | + | 0.632520i | ||||
\(842\) | 29.9613 | − | 17.2982i | 1.03254 | − | 0.596135i | ||||
\(843\) | −2.46104 | + | 1.92018i | −0.0847627 | + | 0.0661345i | ||||
\(844\) | −44.0426 | −1.51601 | ||||||||
\(845\) | 2.21261 | − | 12.7248i | 0.0761163 | − | 0.437748i | ||||
\(846\) | 11.7503 | + | 41.1819i | 0.403985 | + | 1.41586i | ||||
\(847\) | −0.278027 | + | 1.20773i | −0.00955312 | + | 0.0414981i | ||||
\(848\) | 0.733925 | − | 0.423732i | 0.0252031 | − | 0.0145510i | ||||
\(849\) | 39.6200 | + | 16.0377i | 1.35975 | + | 0.550413i | ||||
\(850\) | − | 32.2202i | − | 1.10514i | ||||||
\(851\) | −5.51185 | − | 3.18227i | −0.188944 | − | 0.109087i | ||||
\(852\) | 22.9113 | + | 9.27422i | 0.784927 | + | 0.317730i | ||||
\(853\) | 1.85108i | 0.0633799i | 0.999498 | + | 0.0316899i | \(0.0100889\pi\) | ||||
−0.999498 | + | 0.0316899i | \(0.989911\pi\) | |||||||
\(854\) | 71.9117 | − | 22.0350i | 2.46077 | − | 0.754023i | ||||
\(855\) | −3.19381 | + | 3.29862i | −0.109226 | + | 0.112810i | ||||
\(856\) | 10.1865 | + | 17.6435i | 0.348167 | + | 0.603044i | ||||
\(857\) | 20.7097 | 0.707429 | 0.353714 | − | 0.935354i | \(-0.384919\pi\) | ||||
0.353714 | + | 0.935354i | \(0.384919\pi\) | |||||||
\(858\) | −31.5161 | + | 35.0396i | −1.07594 | + | 1.19623i | ||||
\(859\) | 47.4101i | 1.61761i | 0.588077 | + | 0.808805i | \(0.299885\pi\) | ||||
−0.588077 | + | 0.808805i | \(0.700115\pi\) | |||||||
\(860\) | 20.0493 | + | 34.7264i | 0.683676 | + | 1.18416i | ||||
\(861\) | −1.14259 | + | 13.0558i | −0.0389393 | + | 0.444941i | ||||
\(862\) | −16.2038 | + | 28.0658i | −0.551903 | + | 0.955924i | ||||
\(863\) | − | 2.98037i | − | 0.101453i | −0.998713 | − | 0.0507265i | \(-0.983846\pi\) | ||
0.998713 | − | 0.0507265i | \(-0.0161537\pi\) | |||||||
\(864\) | 24.2561 | + | 2.59763i | 0.825208 | + | 0.0883732i | ||||
\(865\) | −10.2687 | + | 17.7860i | −0.349147 | + | 0.604741i | ||||
\(866\) | 89.2916 | 3.03425 | ||||||||
\(867\) | −3.30032 | + | 8.15320i | −0.112085 | + | 0.276897i | ||||
\(868\) | 2.23037 | + | 0.513444i | 0.0757035 | + | 0.0174274i | ||||
\(869\) | 22.0671 | − | 12.7404i | 0.748574 | − | 0.432189i | ||||
\(870\) | 11.0818 | − | 1.55004i | 0.375709 | − | 0.0525514i | ||||
\(871\) | −33.6962 | − | 12.2192i | −1.14175 | − | 0.414031i | ||||
\(872\) | − | 48.4841i | − | 1.64188i | ||||||
\(873\) | 16.0959 | − | 16.6241i | 0.544763 | − | 0.562641i | ||||
\(874\) | 17.2385 | − | 9.95263i | 0.583100 | − | 0.336653i | ||||
\(875\) | −22.6519 | + | 6.94094i | −0.765773 | + | 0.234647i | ||||
\(876\) | 6.82329 | + | 48.7821i | 0.230537 | + | 1.64819i | ||||
\(877\) | 19.6907 | − | 34.1054i | 0.664909 | − | 1.15166i | −0.314401 | − | 0.949290i | \(-0.601804\pi\) |
0.979310 | − | 0.202366i | \(-0.0648631\pi\) | |||||||
\(878\) | −40.5287 | + | 70.1978i | −1.36778 | + | 2.36906i | ||||
\(879\) | 41.7836 | − | 5.84439i | 1.40933 | − | 0.197126i | ||||
\(880\) | −2.22297 | − | 1.28344i | −0.0749365 | − | 0.0432646i | ||||
\(881\) | 2.05629 | + | 3.56160i | 0.0692782 | + | 0.119993i | 0.898584 | − | 0.438802i | \(-0.144597\pi\) |
−0.829306 | + | 0.558795i | \(0.811264\pi\) | |||||||
\(882\) | −37.4070 | − | 31.3916i | −1.25956 | − | 1.05701i | ||||
\(883\) | 22.4900 | 0.756847 | 0.378424 | − | 0.925633i | \(-0.376466\pi\) | ||||
0.378424 | + | 0.925633i | \(0.376466\pi\) | |||||||
\(884\) | −39.8797 | − | 14.4615i | −1.34130 | − | 0.486392i | ||||
\(885\) | 24.7635 | − | 3.46374i | 0.832416 | − | 0.116432i | ||||
\(886\) | −33.9762 | − | 58.8485i | −1.14145 | − | 1.97706i | ||||
\(887\) | 27.1826 | + | 47.0817i | 0.912704 | + | 1.58085i | 0.810229 | + | 0.586114i | \(0.199343\pi\) |
0.102475 | + | 0.994736i | \(0.467324\pi\) | |||||||
\(888\) | −6.01881 | − | 2.43635i | −0.201978 | − | 0.0817584i | ||||
\(889\) | −20.8371 | − | 19.4064i | −0.698854 | − | 0.650871i | ||||
\(890\) | −6.89678 | − | 3.98186i | −0.231181 | − | 0.133472i | ||||
\(891\) | −29.1919 | + | 0.942809i | −0.977967 | + | 0.0315853i | ||||
\(892\) | 22.3514i | 0.748381i | ||||||||
\(893\) | −8.18961 | − | 4.72827i | −0.274055 | − | 0.158226i | ||||
\(894\) | 24.0269 | + | 30.7946i | 0.803580 | + | 1.02993i | ||||
\(895\) | 4.31834 | − | 2.49319i | 0.144346 | − | 0.0833383i | ||||
\(896\) | −35.5229 | + | 38.1417i | −1.18674 | + | 1.27422i | ||||
\(897\) | −32.9976 | + | 10.7409i | −1.10176 | + | 0.358630i | ||||
\(898\) | 81.9112 | 2.73341 | ||||||||
\(899\) | −0.354940 | − | 0.614774i | −0.0118379 | − | 0.0205038i | ||||
\(900\) | −29.4715 | − | 28.5351i | −0.982385 | − | 0.951169i | ||||
\(901\) | 3.18303 | + | 1.83772i | 0.106042 | + | 0.0612235i | ||||
\(902\) | −21.5822 | −0.718610 | ||||||||
\(903\) | −49.1933 | + | 22.9376i | −1.63705 | + | 0.763316i | ||||
\(904\) | 28.3209 | − | 49.0532i | 0.941939 | − | 1.63149i | ||||
\(905\) | − | 12.5928i | − | 0.418600i | ||||||
\(906\) | −18.0880 | − | 7.32183i | −0.600935 | − | 0.243252i | ||||
\(907\) | 27.4601 | + | 47.5623i | 0.911799 | + | 1.57928i | 0.811522 | + | 0.584322i | \(0.198640\pi\) |
0.100277 | + | 0.994960i | \(0.468027\pi\) | |||||||
\(908\) | 30.7052 | + | 53.1829i | 1.01899 | + | 1.76494i | ||||
\(909\) | −38.9601 | + | 11.1164i | −1.29223 | + | 0.368708i | ||||
\(910\) | −1.11350 | + | 22.0111i | −0.0369122 | + | 0.729660i | ||||
\(911\) | − | 22.6915i | − | 0.751804i | −0.926659 | − | 0.375902i | \(-0.877333\pi\) | ||
0.926659 | − | 0.375902i | \(-0.122667\pi\) | |||||||
\(912\) | 1.67473 | − | 1.30668i | 0.0554560 | − | 0.0432685i | ||||
\(913\) | 26.6877 | − | 15.4082i | 0.883234 | − | 0.509936i | ||||
\(914\) | 34.3190 | + | 19.8141i | 1.13517 | + | 0.655391i | ||||
\(915\) | −2.91408 | − | 20.8338i | −0.0963366 | − | 0.688745i | ||||
\(916\) | 26.4716 | + | 15.2834i | 0.874647 | + | 0.504978i | ||||
\(917\) | 23.2286 | − | 7.11767i | 0.767077 | − | 0.235046i | ||||
\(918\) | −16.8943 | − | 38.1469i | −0.557596 | − | 1.25904i | ||||
\(919\) | 6.94934 | − | 12.0366i | 0.229238 | − | 0.397051i | −0.728345 | − | 0.685211i | \(-0.759710\pi\) |
0.957582 | + | 0.288160i | \(0.0930434\pi\) | |||||||
\(920\) | −9.03477 | − | 15.6487i | −0.297868 | − | 0.515922i | ||||
\(921\) | −24.5474 | + | 19.1526i | −0.808864 | + | 0.631101i | ||||
\(922\) | 39.0852i | 1.28720i | ||||||||
\(923\) | 14.8673 | − | 2.63970i | 0.489363 | − | 0.0868866i | ||||
\(924\) | 29.0671 | − | 41.5098i | 0.956238 | − | 1.36557i | ||||
\(925\) | −2.29815 | − | 3.98051i | −0.0755627 | − | 0.130878i | ||||
\(926\) | −45.0873 | + | 26.0312i | −1.48166 | + | 0.855437i | ||||
\(927\) | −35.9023 | − | 9.00143i | −1.17918 | − | 0.295646i | ||||
\(928\) | 13.1279 | 0.430946 | ||||||||
\(929\) | 9.13212 | − | 15.8173i | 0.299615 | − | 0.518949i | −0.676433 | − | 0.736504i | \(-0.736475\pi\) |
0.976048 | + | 0.217556i | \(0.0698084\pi\) | |||||||
\(930\) | 0.381169 | − | 0.941650i | 0.0124990 | − | 0.0308779i | ||||
\(931\) | 10.7560 | − | 0.765720i | 0.352514 | − | 0.0250954i | ||||
\(932\) | 68.9621 | + | 39.8153i | 2.25893 | + | 1.30419i | ||||
\(933\) | −30.4812 | − | 39.0669i | −0.997911 | − | 1.27899i | ||||
\(934\) | −71.2251 | + | 41.1218i | −2.33056 | + | 1.34555i | ||||
\(935\) | − | 11.1325i | − | 0.364072i | ||||||
\(936\) | −31.8223 | + | 15.5159i | −1.04014 | + | 0.507152i | ||||
\(937\) | 25.2955i | 0.826369i | 0.910647 | + | 0.413185i | \(0.135584\pi\) | ||||
−0.910647 | + | 0.413185i | \(0.864416\pi\) | |||||||
\(938\) | 59.6034 | + | 13.7211i | 1.94612 | + | 0.448009i | ||||
\(939\) | 1.17744 | − | 0.918677i | 0.0384244 | − | 0.0299799i | ||||
\(940\) | −10.3912 | + | 17.9981i | −0.338924 | + | 0.587034i | ||||
\(941\) | −38.2972 | −1.24845 | −0.624226 | − | 0.781244i | \(-0.714586\pi\) | ||||
−0.624226 | + | 0.781244i | \(0.714586\pi\) | |||||||
\(942\) | −31.3007 | + | 77.3260i | −1.01983 | + | 2.51942i | ||||
\(943\) | −13.7626 | − | 7.94583i | −0.448172 | − | 0.258752i | ||||
\(944\) | −11.5681 | −0.376510 | ||||||||
\(945\) | −10.3203 | + | 8.94709i | −0.335719 | + | 0.291049i | ||||
\(946\) | −44.6921 | − | 77.4090i | −1.45307 | − | 2.51678i | ||||
\(947\) | 13.1262 | − | 7.57839i | 0.426543 | − | 0.246265i | −0.271330 | − | 0.962486i | \(-0.587463\pi\) |
0.697873 | + | 0.716222i | \(0.254130\pi\) | |||||||
\(948\) | 45.8942 | − | 6.41935i | 1.49057 | − | 0.208491i | ||||
\(949\) | 19.3697 | + | 23.0283i | 0.628766 | + | 0.747531i | ||||
\(950\) | 14.3751 | 0.466388 | ||||||||
\(951\) | 17.7007 | − | 13.8106i | 0.573984 | − | 0.447840i | ||||
\(952\) | 29.1378 | + | 6.70771i | 0.944362 | + | 0.217398i | ||||
\(953\) | −8.75300 | − | 5.05355i | −0.283538 | − | 0.163700i | 0.351486 | − | 0.936193i | \(-0.385676\pi\) |
−0.635024 | + | 0.772493i | \(0.719010\pi\) | |||||||
\(954\) | 7.14110 | − | 2.03755i | 0.231202 | − | 0.0659683i | ||||
\(955\) | 1.57666 | + | 0.910288i | 0.0510197 | + | 0.0294562i | ||||
\(956\) | −39.1676 | − | 22.6134i | −1.26677 | − | 0.731370i | ||||
\(957\) | −15.5662 | + | 2.17728i | −0.503183 | + | 0.0703816i | ||||
\(958\) | −8.82599 | − | 5.09569i | −0.285155 | − | 0.164634i | ||||
\(959\) | 3.19236 | + | 0.734902i | 0.103087 | + | 0.0237312i | ||||
\(960\) | 13.2420 | + | 16.9720i | 0.427385 | + | 0.547767i | ||||
\(961\) | 30.9356 | 0.997921 | ||||||||
\(962\) | −9.45537 | + | 1.67881i | −0.304853 | + | 0.0541269i | ||||
\(963\) | 5.12358 | + | 17.9568i | 0.165105 | + | 0.578650i | ||||
\(964\) | 80.8600 | − | 46.6846i | 2.60433 | − | 1.50361i | ||||
\(965\) | −2.34989 | − | 4.07012i | −0.0756455 | − | 0.131022i | ||||
\(966\) | 53.6671 | − | 25.0236i | 1.72671 | − | 0.805122i | ||||
\(967\) | 23.0574 | 0.741476 | 0.370738 | − | 0.928737i | \(-0.379105\pi\) | ||||
0.370738 | + | 0.928737i | \(0.379105\pi\) | |||||||
\(968\) | −1.32775 | − | 0.766576i | −0.0426755 | − | 0.0246387i | ||||
\(969\) | 8.53948 | + | 3.45668i | 0.274328 | + | 0.111045i | ||||
\(970\) | 17.8201 | 0.572168 | ||||||||
\(971\) | −9.19702 | + | 15.9297i | −0.295147 | + | 0.511209i | −0.975019 | − | 0.222122i | \(-0.928702\pi\) |
0.679872 | + | 0.733330i | \(0.262035\pi\) | |||||||
\(972\) | −49.8547 | − | 18.3308i | −1.59909 | − | 0.587961i | ||||
\(973\) | 31.5333 | + | 7.25916i | 1.01091 | + | 0.232718i | ||||
\(974\) | 51.1170i | 1.63790i | ||||||||
\(975\) | −24.5158 | − | 5.19739i | −0.785134 | − | 0.166450i | ||||
\(976\) | 9.73238i | 0.311526i | ||||||||
\(977\) | −37.1628 | + | 21.4560i | −1.18894 | + | 0.686437i | −0.958067 | − | 0.286545i | \(-0.907493\pi\) |
−0.230878 | + | 0.972983i | \(0.574160\pi\) | |||||||
\(978\) | 1.11697 | − | 0.871497i | 0.0357169 | − | 0.0278674i | ||||
\(979\) | 9.68763 | + | 5.59315i | 0.309618 | + | 0.178758i | ||||
\(980\) | −1.68281 | − | 23.6382i | −0.0537552 | − | 0.755095i | ||||
\(981\) | 10.8074 | − | 43.1054i | 0.345053 | − | 1.37625i | ||||
\(982\) | 42.1571 | − | 73.0182i | 1.34529 | − | 2.33011i | ||||
\(983\) | 26.4607 | 0.843967 | 0.421983 | − | 0.906604i | \(-0.361334\pi\) | ||||
0.421983 | + | 0.906604i | \(0.361334\pi\) | |||||||
\(984\) | −15.0284 | − | 6.08334i | −0.479089 | − | 0.193930i | ||||
\(985\) | −18.3214 | + | 10.5779i | −0.583768 | + | 0.337039i | ||||
\(986\) | −11.2259 | − | 19.4438i | −0.357505 | − | 0.619216i | ||||
\(987\) | −23.0435 | − | 16.1361i | −0.733482 | − | 0.513619i | ||||
\(988\) | 6.45199 | − | 17.7923i | 0.205265 | − | 0.566049i | ||||
\(989\) | − | 65.8163i | − | 2.09284i | ||||||
\(990\) | −16.1595 | − | 15.6460i | −0.513582 | − | 0.497263i | ||||
\(991\) | −11.0247 | − | 19.0953i | −0.350210 | − | 0.606582i | 0.636076 | − | 0.771627i | \(-0.280557\pi\) |
−0.986286 | + | 0.165045i | \(0.947223\pi\) | |||||||
\(992\) | 0.595919 | − | 1.03216i | 0.0189204 | − | 0.0327712i | ||||
\(993\) | −10.2796 | + | 1.43783i | −0.326212 | + | 0.0456282i | ||||
\(994\) | −24.6355 | + | 7.54875i | −0.781390 | + | 0.239432i | ||||
\(995\) | −2.27196 | − | 1.31172i | −0.0720260 | − | 0.0415842i | ||||
\(996\) | 55.5041 | − | 7.76350i | 1.75871 | − | 0.245996i | ||||
\(997\) | −0.997512 | − | 0.575914i | −0.0315915 | − | 0.0182394i | 0.484121 | − | 0.875001i | \(-0.339139\pi\) |
−0.515713 | + | 0.856762i | \(0.672473\pi\) | |||||||
\(998\) | −8.67772 | + | 5.01008i | −0.274688 | + | 0.158591i | ||||
\(999\) | −4.80802 | − | 3.50769i | −0.152119 | − | 0.110978i |
(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 | 273.2.bn.c.146.4 | yes | 64 | |
3.2 | odd | 2 | inner | 273.2.bn.c.146.29 | yes | 64 | |
7.6 | odd | 2 | inner | 273.2.bn.c.146.3 | ✓ | 64 | |
13.9 | even | 3 | inner | 273.2.bn.c.230.30 | yes | 64 | |
21.20 | even | 2 | inner | 273.2.bn.c.146.30 | yes | 64 | |
39.35 | odd | 6 | inner | 273.2.bn.c.230.3 | yes | 64 | |
91.48 | odd | 6 | inner | 273.2.bn.c.230.29 | yes | 64 | |
273.230 | even | 6 | inner | 273.2.bn.c.230.4 | yes | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
273.2.bn.c.146.3 | ✓ | 64 | 7.6 | odd | 2 | inner | |
273.2.bn.c.146.4 | yes | 64 | 1.1 | even | 1 | trivial | |
273.2.bn.c.146.29 | yes | 64 | 3.2 | odd | 2 | inner | |
273.2.bn.c.146.30 | yes | 64 | 21.20 | even | 2 | inner | |
273.2.bn.c.230.3 | yes | 64 | 39.35 | odd | 6 | inner | |
273.2.bn.c.230.4 | yes | 64 | 273.230 | even | 6 | inner | |
273.2.bn.c.230.29 | yes | 64 | 91.48 | odd | 6 | inner | |
273.2.bn.c.230.30 | yes | 64 | 13.9 | even | 3 | inner |