Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [349,2,Mod(3,349)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(349, base_ring=CyclotomicField(174))
chi = DirichletCharacter(H, H._module([13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("349.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 349 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 349.k (of order \(174\), degree \(56\), 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: | \(2.78677903054\) |
Analytic rank: | \(0\) |
Dimension: | \(1624\) |
Relative dimension: | \(29\) over \(\Q(\zeta_{174})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{174}]$ |
Embedding invariants
Embedding label | 3.1 | ||
Character | \(\chi\) | \(=\) | 349.3 |
Dual form | 349.2.k.a.233.1 |
$q$-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 \(\left(\mathbb{Z}/349\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{13}{174}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.69504 | − | 0.644448i | −1.90568 | − | 0.455694i | −0.999459 | − | 0.0328850i | \(-0.989531\pi\) |
−0.906219 | − | 0.422809i | \(-0.861044\pi\) | |||||||
\(3\) | 2.08866 | − | 0.381263i | 1.20589 | − | 0.220122i | 0.461056 | − | 0.887371i | \(-0.347471\pi\) |
0.744835 | + | 0.667249i | \(0.232528\pi\) | |||||||
\(4\) | 5.06425 | + | 2.56886i | 2.53213 | + | 1.28443i | ||||
\(5\) | −0.186969 | − | 1.47146i | −0.0836150 | − | 0.658058i | −0.977677 | − | 0.210115i | \(-0.932616\pi\) |
0.894062 | − | 0.447944i | \(-0.147844\pi\) | |||||||
\(6\) | −5.87473 | − | 0.318518i | −2.39835 | − | 0.130035i | ||||
\(7\) | 3.45075 | + | 0.0623105i | 1.30426 | + | 0.0235512i | 0.665816 | − | 0.746116i | \(-0.268084\pi\) |
0.638445 | + | 0.769667i | \(0.279578\pi\) | |||||||
\(8\) | −7.76892 | − | 6.59898i | −2.74673 | − | 2.33309i | ||||
\(9\) | 1.41063 | − | 0.532742i | 0.470210 | − | 0.177581i | ||||
\(10\) | −0.444394 | + | 4.08614i | −0.140530 | + | 1.29215i | ||||
\(11\) | 0.700120 | − | 3.18068i | 0.211094 | − | 0.959010i | −0.745254 | − | 0.666781i | \(-0.767672\pi\) |
0.956348 | − | 0.292230i | \(-0.0943971\pi\) | |||||||
\(12\) | 11.5569 | + | 3.43467i | 3.33620 | + | 0.991504i | ||||
\(13\) | −4.71300 | − | 4.62867i | −1.30715 | − | 1.28376i | −0.934578 | − | 0.355759i | \(-0.884222\pi\) |
−0.372574 | − | 0.928002i | \(-0.621525\pi\) | |||||||
\(14\) | −9.25974 | − | 2.39176i | −2.47477 | − | 0.639225i | ||||
\(15\) | −0.951529 | − | 3.00211i | −0.245684 | − | 0.775141i | ||||
\(16\) | 9.97618 | + | 13.6273i | 2.49404 | + | 3.40682i | ||||
\(17\) | 2.24251 | + | 2.64009i | 0.543889 | + | 0.640316i | 0.963602 | − | 0.267341i | \(-0.0861451\pi\) |
−0.419713 | + | 0.907657i | \(0.637869\pi\) | |||||||
\(18\) | −4.14503 | + | 0.526680i | −0.976992 | + | 0.124140i | ||||
\(19\) | 2.81802 | + | 0.409893i | 0.646499 | + | 0.0940358i | 0.459293 | − | 0.888285i | \(-0.348103\pi\) |
0.187206 | + | 0.982321i | \(0.440057\pi\) | |||||||
\(20\) | 2.83313 | − | 7.93216i | 0.633506 | − | 1.77369i | ||||
\(21\) | 7.23122 | − | 1.18550i | 1.57798 | − | 0.258697i | ||||
\(22\) | −3.93663 | + | 8.12085i | −0.839292 | + | 1.73137i | ||||
\(23\) | −3.67367 | + | 3.74060i | −0.766013 | + | 0.779970i | −0.980450 | − | 0.196768i | \(-0.936955\pi\) |
0.214437 | + | 0.976738i | \(0.431208\pi\) | |||||||
\(24\) | −18.7426 | − | 10.8211i | −3.82582 | − | 2.20884i | ||||
\(25\) | 2.71087 | − | 0.700208i | 0.542173 | − | 0.140042i | ||||
\(26\) | 9.71878 | + | 15.5117i | 1.90601 | + | 3.04210i | ||||
\(27\) | −2.71456 | + | 1.63329i | −0.522417 | + | 0.314328i | ||||
\(28\) | 17.3154 | + | 9.18005i | 3.27231 | + | 1.73487i | ||||
\(29\) | 1.90805 | − | 0.567064i | 0.354316 | − | 0.105301i | −0.102815 | − | 0.994700i | \(-0.532785\pi\) |
0.457131 | + | 0.889399i | \(0.348877\pi\) | |||||||
\(30\) | 0.629703 | + | 8.70400i | 0.114967 | + | 1.58913i | ||||
\(31\) | −1.12494 | + | 2.12186i | −0.202045 | + | 0.381098i | −0.963742 | − | 0.266836i | \(-0.914022\pi\) |
0.761697 | + | 0.647934i | \(0.224367\pi\) | |||||||
\(32\) | −10.2176 | − | 24.3558i | −1.80623 | − | 4.30554i | ||||
\(33\) | 0.249641 | − | 6.91029i | 0.0434569 | − | 1.20293i | ||||
\(34\) | −4.34225 | − | 8.56032i | −0.744689 | − | 1.46808i | ||||
\(35\) | −0.553495 | − | 5.08931i | −0.0935578 | − | 0.860250i | ||||
\(36\) | 8.51234 | + | 0.925772i | 1.41872 | + | 0.154295i | ||||
\(37\) | 0.140656 | + | 0.506596i | 0.0231236 | + | 0.0832838i | 0.974212 | − | 0.225636i | \(-0.0724462\pi\) |
−0.951088 | + | 0.308920i | \(0.900032\pi\) | |||||||
\(38\) | −7.33052 | − | 2.92075i | −1.18917 | − | 0.473808i | ||||
\(39\) | −11.6086 | − | 7.87084i | −1.85887 | − | 1.26034i | ||||
\(40\) | −8.25762 | + | 12.6655i | −1.30564 | + | 2.00259i | ||||
\(41\) | 7.73382 | − | 9.10496i | 1.20782 | − | 1.42196i | 0.329317 | − | 0.944219i | \(-0.393181\pi\) |
0.878503 | − | 0.477737i | \(-0.158543\pi\) | |||||||
\(42\) | −20.2524 | − | 1.46519i | −3.12501 | − | 0.226083i | ||||
\(43\) | −3.11769 | − | 2.84822i | −0.475443 | − | 0.434349i | 0.400839 | − | 0.916149i | \(-0.368719\pi\) |
−0.876281 | + | 0.481800i | \(0.839983\pi\) | |||||||
\(44\) | 11.7163 | − | 14.3092i | 1.76630 | − | 2.15720i | ||||
\(45\) | −1.04765 | − | 1.97609i | −0.156175 | − | 0.294578i | ||||
\(46\) | 12.3113 | − | 7.71357i | 1.81520 | − | 1.13730i | ||||
\(47\) | −1.07751 | + | 3.19792i | −0.157170 | + | 0.466465i | −0.997089 | − | 0.0762473i | \(-0.975706\pi\) |
0.839919 | + | 0.542713i | \(0.182603\pi\) | |||||||
\(48\) | 26.0325 | + | 24.6592i | 3.75746 | + | 3.55926i | ||||
\(49\) | 4.90837 | + | 0.177320i | 0.701195 | + | 0.0253314i | ||||
\(50\) | −7.75713 | + | 0.140071i | −1.09702 | + | 0.0198091i | ||||
\(51\) | 5.69042 | + | 4.65927i | 0.796818 | + | 0.652428i | ||||
\(52\) | −11.9774 | − | 35.5478i | −1.66097 | − | 4.92959i | ||||
\(53\) | −0.0388689 | + | 0.0840138i | −0.00533906 | + | 0.0115402i | −0.910227 | − | 0.414111i | \(-0.864093\pi\) |
0.904888 | + | 0.425651i | \(0.139955\pi\) | |||||||
\(54\) | 8.36840 | − | 2.65240i | 1.13880 | − | 0.360945i | ||||
\(55\) | −4.81115 | − | 0.435513i | −0.648735 | − | 0.0587246i | ||||
\(56\) | −26.3974 | − | 23.2555i | −3.52751 | − | 3.10765i | ||||
\(57\) | 6.04218 | − | 0.218280i | 0.800306 | − | 0.0289118i | ||||
\(58\) | −5.50771 | + | 0.298619i | −0.723197 | + | 0.0392106i | ||||
\(59\) | 1.38229 | + | 7.57256i | 0.179959 | + | 0.985863i | 0.941315 | + | 0.337530i | \(0.109591\pi\) |
−0.761356 | + | 0.648334i | \(0.775466\pi\) | |||||||
\(60\) | 2.89321 | − | 17.6478i | 0.373512 | − | 2.27832i | ||||
\(61\) | −2.81161 | − | 2.96818i | −0.359989 | − | 0.380036i | 0.520693 | − | 0.853744i | \(-0.325674\pi\) |
−0.880682 | + | 0.473708i | \(0.842915\pi\) | |||||||
\(62\) | 4.39918 | − | 4.99353i | 0.558697 | − | 0.634179i | ||||
\(63\) | 4.90093 | − | 1.75046i | 0.617460 | − | 0.220538i | ||||
\(64\) | 6.37604 | + | 38.8921i | 0.797005 | + | 4.86152i | ||||
\(65\) | −5.92973 | + | 7.80043i | −0.735493 | + | 0.967524i | ||||
\(66\) | −5.12612 | + | 18.4626i | −0.630982 | + | 2.27259i | ||||
\(67\) | 3.43057 | − | 8.61009i | 0.419111 | − | 1.05189i | −0.556199 | − | 0.831049i | \(-0.687741\pi\) |
0.975310 | − | 0.220841i | \(-0.0708801\pi\) | |||||||
\(68\) | 4.57463 | + | 19.1308i | 0.554756 | + | 2.31995i | ||||
\(69\) | −6.24691 | + | 9.21350i | −0.752039 | + | 1.10918i | ||||
\(70\) | −1.78810 | + | 14.0726i | −0.213719 | + | 1.68199i | ||||
\(71\) | −1.91944 | + | 10.5152i | −0.227795 | + | 1.24793i | 0.646645 | + | 0.762791i | \(0.276172\pi\) |
−0.874440 | + | 0.485134i | \(0.838771\pi\) | |||||||
\(72\) | −14.4746 | − | 5.16990i | −1.70585 | − | 0.609279i | ||||
\(73\) | −5.53545 | + | 3.06400i | −0.647875 | + | 0.358614i | −0.773803 | − | 0.633426i | \(-0.781648\pi\) |
0.125928 | + | 0.992039i | \(0.459809\pi\) | |||||||
\(74\) | −0.0525972 | − | 1.45594i | −0.00611430 | − | 0.169249i | ||||
\(75\) | 5.39513 | − | 2.49605i | 0.622976 | − | 0.288219i | ||||
\(76\) | 13.2182 | + | 9.31491i | 1.51624 | + | 1.06849i | ||||
\(77\) | 2.61413 | − | 10.9321i | 0.297908 | − | 1.24583i | ||||
\(78\) | 26.2133 | + | 28.6933i | 2.96807 | + | 3.24888i | ||||
\(79\) | 4.48003 | + | 9.68342i | 0.504043 | + | 1.08947i | 0.977939 | + | 0.208890i | \(0.0669850\pi\) |
−0.473897 | + | 0.880580i | \(0.657153\pi\) | |||||||
\(80\) | 18.1868 | − | 17.2275i | 2.03335 | − | 1.92609i | ||||
\(81\) | −8.44139 | + | 7.43667i | −0.937932 | + | 0.826297i | ||||
\(82\) | −26.7106 | + | 19.5541i | −2.94969 | + | 2.15939i | ||||
\(83\) | 14.2993 | + | 5.99873i | 1.56955 | + | 0.658446i | 0.987914 | − | 0.155002i | \(-0.0495383\pi\) |
0.581638 | + | 0.813447i | \(0.302412\pi\) | |||||||
\(84\) | 39.6661 | + | 12.5723i | 4.32793 | + | 1.37175i | ||||
\(85\) | 3.46551 | − | 3.79339i | 0.375888 | − | 0.411451i | ||||
\(86\) | 6.56675 | + | 9.68523i | 0.708111 | + | 1.04439i | ||||
\(87\) | 3.76908 | − | 1.91188i | 0.404087 | − | 0.204975i | ||||
\(88\) | −26.4284 | + | 20.0904i | −2.81728 | + | 2.14164i | ||||
\(89\) | 0.614511 | − | 0.297888i | 0.0651380 | − | 0.0315760i | −0.403351 | − | 0.915045i | \(-0.632155\pi\) |
0.468489 | + | 0.883469i | \(0.344798\pi\) | |||||||
\(90\) | 1.54998 | + | 6.00078i | 0.163382 | + | 0.632538i | ||||
\(91\) | −15.9750 | − | 16.2661i | −1.67463 | − | 1.70515i | ||||
\(92\) | −28.2135 | + | 9.50623i | −2.94146 | + | 0.991093i | ||||
\(93\) | −1.54063 | + | 4.86075i | −0.159756 | + | 0.504037i | ||||
\(94\) | 4.96481 | − | 7.92412i | 0.512081 | − | 0.817311i | ||||
\(95\) | 0.0762597 | − | 4.22326i | 0.00782408 | − | 0.433297i | ||||
\(96\) | −30.6270 | − | 46.9755i | −3.12586 | − | 4.79442i | ||||
\(97\) | −1.41757 | − | 0.180120i | −0.143932 | − | 0.0182885i | 0.0537516 | − | 0.998554i | \(-0.482882\pi\) |
−0.197684 | + | 0.980266i | \(0.563342\pi\) | |||||||
\(98\) | −13.1140 | − | 3.64107i | −1.32471 | − | 0.367804i | ||||
\(99\) | −0.706869 | − | 4.85975i | −0.0710431 | − | 0.488423i | ||||
\(100\) | 15.5273 | + | 3.41781i | 1.55273 | + | 0.341781i | ||||
\(101\) | 12.3678 | − | 4.92778i | 1.23064 | − | 0.490332i | 0.338020 | − | 0.941139i | \(-0.390243\pi\) |
0.892622 | + | 0.450807i | \(0.148864\pi\) | |||||||
\(102\) | −12.3332 | − | 16.2241i | −1.22117 | − | 1.60642i | ||||
\(103\) | 2.34758 | − | 2.47831i | 0.231314 | − | 0.244195i | −0.599998 | − | 0.800002i | \(-0.704832\pi\) |
0.831312 | + | 0.555807i | \(0.187590\pi\) | |||||||
\(104\) | 6.07046 | + | 67.0608i | 0.595257 | + | 6.57585i | ||||
\(105\) | −3.09643 | − | 10.4188i | −0.302181 | − | 1.01677i | ||||
\(106\) | 0.158896 | − | 0.201371i | 0.0154333 | − | 0.0195589i | ||||
\(107\) | −5.41548 | − | 4.27319i | −0.523535 | − | 0.413105i | 0.322230 | − | 0.946662i | \(-0.395568\pi\) |
−0.845764 | + | 0.533557i | \(0.820855\pi\) | |||||||
\(108\) | −17.9429 | + | 1.29810i | −1.72656 | + | 0.124910i | ||||
\(109\) | −3.65013 | + | 4.98602i | −0.349619 | + | 0.477574i | −0.945557 | − | 0.325457i | \(-0.894482\pi\) |
0.595937 | + | 0.803031i | \(0.296781\pi\) | |||||||
\(110\) | 12.6856 | + | 4.27426i | 1.20952 | + | 0.407535i | ||||
\(111\) | 0.486928 | + | 1.00448i | 0.0462172 | + | 0.0953411i | ||||
\(112\) | 33.5762 | + | 47.6460i | 3.17265 | + | 4.50212i | ||||
\(113\) | −0.617967 | + | 2.07933i | −0.0581335 | + | 0.195607i | −0.982627 | − | 0.185591i | \(-0.940580\pi\) |
0.924494 | + | 0.381197i | \(0.124488\pi\) | |||||||
\(114\) | −16.4246 | − | 3.30560i | −1.53830 | − | 0.309598i | ||||
\(115\) | 6.19103 | + | 4.70629i | 0.577316 | + | 0.438864i | ||||
\(116\) | 11.1196 | + | 2.02976i | 1.03243 | + | 0.188458i | ||||
\(117\) | −9.11420 | − | 4.01853i | −0.842608 | − | 0.371513i | ||||
\(118\) | 1.15481 | − | 21.2991i | 0.106308 | − | 1.96074i | ||||
\(119\) | 7.57384 | + | 9.25002i | 0.694293 | + | 0.847948i | ||||
\(120\) | −12.4185 | + | 29.6023i | −1.13365 | + | 2.70231i | ||||
\(121\) | 0.356792 | + | 0.165070i | 0.0324357 | + | 0.0150063i | ||||
\(122\) | 5.66454 | + | 9.81128i | 0.512844 | + | 0.888271i | ||||
\(123\) | 12.6820 | − | 21.9658i | 1.14350 | − | 1.98059i | ||||
\(124\) | −11.1478 | + | 7.85584i | −1.00110 | + | 0.705475i | ||||
\(125\) | −4.28230 | − | 10.7478i | −0.383020 | − | 0.961308i | ||||
\(126\) | −14.3363 | + | 1.55916i | −1.27718 | + | 0.138901i | ||||
\(127\) | −1.57836 | − | 7.17056i | −0.140057 | − | 0.636284i | −0.993377 | − | 0.114898i | \(-0.963346\pi\) |
0.853321 | − | 0.521387i | \(-0.174585\pi\) | |||||||
\(128\) | 4.06862 | − | 56.2380i | 0.359618 | − | 4.97079i | ||||
\(129\) | −7.59772 | − | 4.76031i | −0.668942 | − | 0.419122i | ||||
\(130\) | 21.0078 | − | 17.2010i | 1.84251 | − | 1.50863i | ||||
\(131\) | −14.2177 | + | 12.0766i | −1.24221 | + | 1.05514i | −0.245898 | + | 0.969296i | \(0.579083\pi\) |
−0.996309 | + | 0.0858442i | \(0.972641\pi\) | |||||||
\(132\) | 19.0158 | − | 34.3542i | 1.65512 | − | 2.99015i | ||||
\(133\) | 9.69876 | + | 1.59003i | 0.840989 | + | 0.137873i | ||||
\(134\) | −14.7943 | + | 20.9937i | −1.27803 | + | 1.81358i | ||||
\(135\) | 2.91087 | + | 3.68900i | 0.250528 | + | 0.317498i | ||||
\(136\) | − | 35.3089i | − | 3.02772i | ||||||
\(137\) | −9.37401 | + | 7.39674i | −0.800876 | + | 0.631946i | −0.933239 | − | 0.359255i | \(-0.883031\pi\) |
0.132363 | + | 0.991201i | \(0.457743\pi\) | |||||||
\(138\) | 22.7733 | − | 20.8049i | 1.93859 | − | 1.77103i | ||||
\(139\) | 0.458222 | + | 8.45142i | 0.0388659 | + | 0.716840i | 0.951422 | + | 0.307889i | \(0.0996225\pi\) |
−0.912556 | + | 0.408951i | \(0.865895\pi\) | |||||||
\(140\) | 10.2707 | − | 27.1954i | 0.868030 | − | 2.29843i | ||||
\(141\) | −1.03130 | + | 7.09020i | −0.0868510 | + | 0.597103i | ||||
\(142\) | 11.9495 | − | 27.1019i | 1.00278 | − | 2.27434i | ||||
\(143\) | −18.0220 | + | 11.7499i | −1.50707 | + | 0.982577i | ||||
\(144\) | 21.3325 | + | 13.9083i | 1.77771 | + | 1.15903i | ||||
\(145\) | −1.19116 | − | 2.70160i | −0.0989205 | − | 0.224356i | ||||
\(146\) | 16.8928 | − | 4.69027i | 1.39806 | − | 0.388169i | ||||
\(147\) | 10.3195 | − | 1.50102i | 0.851141 | − | 0.123802i | ||||
\(148\) | −0.589057 | + | 2.92685i | −0.0484202 | + | 0.240586i | ||||
\(149\) | 4.03215 | + | 1.95461i | 0.330327 | + | 0.160128i | 0.593959 | − | 0.804495i | \(-0.297564\pi\) |
−0.263632 | + | 0.964623i | \(0.584921\pi\) | |||||||
\(150\) | −16.1486 | + | 3.25007i | −1.31853 | + | 0.265367i | ||||
\(151\) | −0.758622 | + | 8.38055i | −0.0617358 | + | 0.682000i | 0.904863 | + | 0.425704i | \(0.139973\pi\) |
−0.966598 | + | 0.256296i | \(0.917498\pi\) | |||||||
\(152\) | −19.1881 | − | 21.7805i | −1.55636 | − | 1.76663i | ||||
\(153\) | 4.56984 | + | 2.52951i | 0.369450 | + | 0.204499i | ||||
\(154\) | −14.0903 | + | 27.7777i | −1.13543 | + | 2.23839i | ||||
\(155\) | 3.33257 | + | 1.25859i | 0.267679 | + | 0.101092i | ||||
\(156\) | −38.5699 | − | 69.6808i | −3.08807 | − | 5.57893i | ||||
\(157\) | 4.97901 | + | 13.9402i | 0.397368 | + | 1.11255i | 0.958567 | + | 0.284867i | \(0.0919495\pi\) |
−0.561199 | + | 0.827681i | \(0.689660\pi\) | |||||||
\(158\) | −5.83337 | − | 28.9843i | −0.464078 | − | 2.30587i | ||||
\(159\) | −0.0491528 | + | 0.190296i | −0.00389807 | + | 0.0150914i | ||||
\(160\) | −33.9283 | + | 19.5885i | −2.68227 | + | 1.54861i | ||||
\(161\) | −12.9100 | + | 12.6790i | −1.01745 | + | 0.999244i | ||||
\(162\) | 27.5424 | − | 14.6021i | 2.16393 | − | 1.14725i | ||||
\(163\) | 4.73003 | − | 7.86138i | 0.370485 | − | 0.615751i | −0.614393 | − | 0.789000i | \(-0.710599\pi\) |
0.984878 | + | 0.173250i | \(0.0554267\pi\) | |||||||
\(164\) | 62.5554 | − | 26.2427i | 4.88476 | − | 2.04921i | ||||
\(165\) | −10.2149 | + | 0.924672i | −0.795231 | + | 0.0719856i | ||||
\(166\) | −34.6713 | − | 25.3819i | −2.69101 | − | 1.97002i | ||||
\(167\) | −3.77420 | − | 6.27277i | −0.292056 | − | 0.485401i | 0.675739 | − | 0.737141i | \(-0.263825\pi\) |
−0.967795 | + | 0.251740i | \(0.918997\pi\) | |||||||
\(168\) | −64.0019 | − | 38.5086i | −4.93785 | − | 2.97101i | ||||
\(169\) | 0.553124 | + | 30.6320i | 0.0425480 | + | 2.35631i | ||||
\(170\) | −11.7843 | + | 7.98997i | −0.903817 | + | 0.612803i | ||||
\(171\) | 4.19356 | − | 0.923072i | 0.320689 | − | 0.0705891i | ||||
\(172\) | −8.47209 | − | 22.4330i | −0.645991 | − | 1.71050i | ||||
\(173\) | −16.5354 | + | 7.29061i | −1.25716 | + | 0.554295i | −0.921753 | − | 0.387777i | \(-0.873243\pi\) |
−0.335411 | + | 0.942072i | \(0.608875\pi\) | |||||||
\(174\) | −11.3899 | + | 2.72360i | −0.863466 | + | 0.206476i | ||||
\(175\) | 9.39816 | − | 2.24733i | 0.710434 | − | 0.169882i | ||||
\(176\) | 50.3285 | − | 22.1903i | 3.79365 | − | 1.67265i | ||||
\(177\) | 5.77427 | + | 15.2895i | 0.434021 | + | 1.14923i | ||||
\(178\) | −1.84810 | + | 0.406798i | −0.138521 | + | 0.0304908i | ||||
\(179\) | 10.7584 | − | 7.29439i | 0.804123 | − | 0.545209i | −0.0884668 | − | 0.996079i | \(-0.528197\pi\) |
0.892589 | + | 0.450870i | \(0.148886\pi\) | |||||||
\(180\) | −0.229301 | − | 12.6987i | −0.0170911 | − | 0.946504i | ||||
\(181\) | −3.34229 | − | 2.01099i | −0.248430 | − | 0.149476i | 0.385893 | − | 0.922544i | \(-0.373893\pi\) |
−0.634323 | + | 0.773068i | \(0.718721\pi\) | |||||||
\(182\) | 32.5705 | + | 54.1327i | 2.41429 | + | 4.01258i | ||||
\(183\) | −7.00415 | − | 5.12756i | −0.517762 | − | 0.379040i | ||||
\(184\) | 53.2247 | − | 4.81799i | 3.92377 | − | 0.355187i | ||||
\(185\) | 0.719139 | − | 0.301687i | 0.0528721 | − | 0.0221805i | ||||
\(186\) | 7.28457 | − | 12.1070i | 0.534131 | − | 0.887732i | ||||
\(187\) | 9.96730 | − | 5.28433i | 0.728881 | − | 0.386428i | ||||
\(188\) | −13.6718 | + | 13.4271i | −0.997117 | + | 0.979275i | ||||
\(189\) | −9.46903 | + | 5.46695i | −0.688771 | + | 0.397662i | ||||
\(190\) | −2.92719 | + | 11.3327i | −0.212361 | + | 0.822159i | ||||
\(191\) | 5.09599 | + | 25.3205i | 0.368733 | + | 1.83213i | 0.533508 | + | 0.845795i | \(0.320874\pi\) |
−0.164775 | + | 0.986331i | \(0.552690\pi\) | |||||||
\(192\) | 28.1455 | + | 78.8017i | 2.03123 | + | 5.68702i | ||||
\(193\) | 3.82261 | + | 6.90597i | 0.275157 | + | 0.497102i | 0.976442 | − | 0.215779i | \(-0.0692290\pi\) |
−0.701285 | + | 0.712881i | \(0.747390\pi\) | |||||||
\(194\) | 3.70431 | + | 1.39898i | 0.265954 | + | 0.100441i | ||||
\(195\) | −9.41120 | + | 18.5533i | −0.673950 | + | 1.32863i | ||||
\(196\) | 24.4017 | + | 13.5069i | 1.74298 | + | 0.964779i | ||||
\(197\) | 7.00176 | + | 7.94772i | 0.498855 | + | 0.566251i | 0.944312 | − | 0.329052i | \(-0.106729\pi\) |
−0.445457 | + | 0.895303i | \(0.646959\pi\) | |||||||
\(198\) | −1.22682 | + | 13.5527i | −0.0871860 | + | 0.963151i | ||||
\(199\) | −9.84436 | + | 1.98127i | −0.697848 | + | 0.140449i | −0.533307 | − | 0.845922i | \(-0.679051\pi\) |
−0.164541 | + | 0.986370i | \(0.552614\pi\) | |||||||
\(200\) | −25.6812 | − | 12.4491i | −1.81593 | − | 0.880285i | ||||
\(201\) | 3.88261 | − | 19.2915i | 0.273858 | − | 1.36072i | ||||
\(202\) | −36.5073 | + | 5.31014i | −2.56865 | + | 0.373620i | ||||
\(203\) | 6.61954 | − | 1.83791i | 0.464601 | − | 0.128996i | ||||
\(204\) | 16.8487 | + | 38.2136i | 1.17965 | + | 2.67549i | ||||
\(205\) | −14.8436 | − | 9.67770i | −1.03672 | − | 0.675920i | ||||
\(206\) | −7.92395 | + | 5.16624i | −0.552088 | + | 0.359949i | ||||
\(207\) | −3.18942 | + | 7.23373i | −0.221680 | + | 0.502779i | ||||
\(208\) | 16.0584 | − | 110.402i | 1.11345 | − | 7.65499i | ||||
\(209\) | 3.27669 | − | 8.67625i | 0.226653 | − | 0.600149i | ||||
\(210\) | 1.63060 | + | 30.0746i | 0.112522 | + | 2.07534i | ||||
\(211\) | 15.3721 | − | 14.0435i | 1.05826 | − | 0.966793i | 0.0587571 | − | 0.998272i | \(-0.481286\pi\) |
0.999504 | + | 0.0314794i | \(0.0100219\pi\) | |||||||
\(212\) | −0.412662 | + | 0.325619i | −0.0283417 | + | 0.0223636i | ||||
\(213\) | 22.6945i | 1.55500i | ||||||||
\(214\) | 11.8411 | + | 15.0064i | 0.809439 | + | 1.02582i | ||||
\(215\) | −3.60813 | + | 5.12009i | −0.246073 | + | 0.349187i | ||||
\(216\) | 31.8673 | + | 5.22437i | 2.16829 | + | 0.355474i | ||||
\(217\) | −4.01410 | + | 7.25192i | −0.272495 | + | 0.492293i | ||||
\(218\) | 13.0505 | − | 11.0852i | 0.883889 | − | 0.750782i | ||||
\(219\) | −10.3935 | + | 8.51012i | −0.702328 | + | 0.575060i | ||||
\(220\) | −23.2461 | − | 14.5647i | −1.56725 | − | 0.981953i | ||||
\(221\) | 1.65113 | − | 22.8226i | 0.111067 | − | 1.53521i | ||||
\(222\) | −0.664953 | − | 3.02091i | −0.0446287 | − | 0.202750i | ||||
\(223\) | −5.39472 | + | 0.586711i | −0.361257 | + | 0.0392891i | −0.286948 | − | 0.957946i | \(-0.592641\pi\) |
−0.0743091 | + | 0.997235i | \(0.523675\pi\) | |||||||
\(224\) | −33.7406 | − | 84.6825i | −2.25439 | − | 5.65809i | ||||
\(225\) | 3.45100 | − | 2.43193i | 0.230067 | − | 0.162129i | ||||
\(226\) | 3.00546 | − | 5.20562i | 0.199920 | − | 0.346272i | ||||
\(227\) | −6.73438 | − | 11.6643i | −0.446976 | − | 0.774186i | 0.551211 | − | 0.834366i | \(-0.314166\pi\) |
−0.998188 | + | 0.0601800i | \(0.980833\pi\) | |||||||
\(228\) | 31.1599 | + | 14.4161i | 2.06361 | + | 0.954729i | ||||
\(229\) | −4.12492 | + | 9.83268i | −0.272583 | + | 0.649761i | −0.999309 | − | 0.0371654i | \(-0.988167\pi\) |
0.726727 | + | 0.686927i | \(0.241041\pi\) | |||||||
\(230\) | −13.6521 | − | 16.6734i | −0.900191 | − | 1.09941i | ||||
\(231\) | 1.29203 | − | 23.8302i | 0.0850096 | − | 1.56791i | ||||
\(232\) | −18.5655 | − | 8.18571i | −1.21889 | − | 0.537418i | ||||
\(233\) | −10.9731 | − | 2.00302i | −0.718870 | − | 0.131222i | −0.192279 | − | 0.981340i | \(-0.561588\pi\) |
−0.526592 | + | 0.850118i | \(0.676530\pi\) | |||||||
\(234\) | 21.9734 | + | 16.7037i | 1.43644 | + | 1.09196i | ||||
\(235\) | 4.90709 | + | 0.987599i | 0.320103 | + | 0.0644238i | ||||
\(236\) | −12.4526 | + | 41.9003i | −0.810594 | + | 2.72748i | ||||
\(237\) | 13.0492 | + | 18.5173i | 0.847637 | + | 1.20283i | ||||
\(238\) | −14.4506 | − | 29.8101i | −0.936695 | − | 1.93230i | ||||
\(239\) | −19.7864 | − | 6.66682i | −1.27988 | − | 0.431241i | −0.404437 | − | 0.914566i | \(-0.632532\pi\) |
−0.875441 | + | 0.483325i | \(0.839429\pi\) | |||||||
\(240\) | 31.4179 | − | 42.9163i | 2.02802 | − | 2.77024i | ||||
\(241\) | −0.558028 | + | 0.0403713i | −0.0359457 | + | 0.00260054i | −0.0901189 | − | 0.995931i | \(-0.528725\pi\) |
0.0541732 | + | 0.998532i | \(0.482748\pi\) | |||||||
\(242\) | −0.855189 | − | 0.674803i | −0.0549736 | − | 0.0433780i | ||||
\(243\) | −8.90859 | + | 11.2900i | −0.571486 | + | 0.724254i | ||||
\(244\) | −6.61386 | − | 22.2542i | −0.423409 | − | 1.42468i | ||||
\(245\) | −0.656793 | − | 7.25564i | −0.0419609 | − | 0.463546i | ||||
\(246\) | −48.3342 | + | 51.0258i | −3.08168 | + | 3.25329i | ||||
\(247\) | −11.3841 | − | 14.9755i | −0.724353 | − | 0.952870i | ||||
\(248\) | 22.7417 | − | 9.06112i | 1.44410 | − | 0.575382i | ||||
\(249\) | 32.1535 | + | 7.07753i | 2.03765 | + | 0.448520i | ||||
\(250\) | 4.61457 | + | 31.7253i | 0.291851 | + | 2.00648i | ||||
\(251\) | 21.7439 | + | 6.03716i | 1.37246 | + | 0.381062i | 0.874032 | − | 0.485868i | \(-0.161497\pi\) |
0.498429 | + | 0.866930i | \(0.333910\pi\) | |||||||
\(252\) | 29.3163 | + | 3.72502i | 1.84675 | + | 0.234654i | ||||
\(253\) | 9.32565 | + | 14.3036i | 0.586298 | + | 0.899261i | ||||
\(254\) | −0.367319 | + | 20.3421i | −0.0230476 | + | 1.27638i | ||||
\(255\) | 5.79202 | − | 9.24438i | 0.362710 | − | 0.578906i | ||||
\(256\) | −23.3921 | + | 73.8028i | −1.46200 | + | 4.61267i | ||||
\(257\) | 2.79080 | − | 0.940331i | 0.174085 | − | 0.0586562i | −0.230909 | − | 0.972975i | \(-0.574170\pi\) |
0.404995 | + | 0.914319i | \(0.367273\pi\) | |||||||
\(258\) | 17.4083 | + | 17.7255i | 1.08380 | + | 1.10354i | ||||
\(259\) | 0.453801 | + | 1.75690i | 0.0281978 | + | 0.109168i | ||||
\(260\) | −50.0679 | + | 24.2707i | −3.10508 | + | 1.50521i | ||||
\(261\) | 2.38946 | − | 1.81642i | 0.147904 | − | 0.112433i | ||||
\(262\) | 46.1000 | − | 23.3844i | 2.84807 | − | 1.44469i | ||||
\(263\) | −0.279064 | − | 0.411588i | −0.0172078 | − | 0.0253796i | 0.818988 | − | 0.573811i | \(-0.194536\pi\) |
−0.836196 | + | 0.548431i | \(0.815225\pi\) | |||||||
\(264\) | −47.5404 | + | 52.0382i | −2.92591 | + | 3.20273i | ||||
\(265\) | 0.130891 | + | 0.0414863i | 0.00804054 | + | 0.00254848i | ||||
\(266\) | −25.1138 | − | 10.5355i | −1.53983 | − | 0.645975i | ||||
\(267\) | 1.16993 | − | 0.856477i | 0.0715987 | − | 0.0524156i | ||||
\(268\) | 39.4914 | − | 34.7910i | 2.41232 | − | 2.12520i | ||||
\(269\) | −11.4879 | + | 10.8819i | −0.700432 | + | 0.663484i | −0.952609 | − | 0.304197i | \(-0.901612\pi\) |
0.252178 | + | 0.967681i | \(0.418853\pi\) | |||||||
\(270\) | −5.46753 | − | 11.8179i | −0.332744 | − | 0.719213i | ||||
\(271\) | −9.51001 | − | 10.4098i | −0.577692 | − | 0.632348i | 0.378320 | − | 0.925675i | \(-0.376502\pi\) |
−0.956012 | + | 0.293327i | \(0.905237\pi\) | |||||||
\(272\) | −13.6055 | + | 56.8973i | −0.824956 | + | 3.44991i | ||||
\(273\) | −39.5680 | − | 27.8836i | −2.39477 | − | 1.68760i | ||||
\(274\) | 30.0301 | − | 13.8934i | 1.81419 | − | 0.839332i | ||||
\(275\) | −0.329202 | − | 9.11262i | −0.0198516 | − | 0.549512i | ||||
\(276\) | −55.3041 | + | 30.6121i | −3.32892 | + | 1.84263i | ||||
\(277\) | −17.2601 | − | 6.16478i | −1.03706 | − | 0.370406i | −0.237751 | − | 0.971326i | \(-0.576410\pi\) |
−0.799309 | + | 0.600920i | \(0.794801\pi\) | |||||||
\(278\) | 4.21157 | − | 23.0722i | 0.252593 | − | 1.38378i | ||||
\(279\) | −0.456470 | + | 3.59247i | −0.0273282 | + | 0.215075i | ||||
\(280\) | −29.2842 | + | 43.1909i | −1.75006 | + | 2.58115i | ||||
\(281\) | −0.848861 | − | 3.54988i | −0.0506388 | − | 0.211768i | 0.941480 | − | 0.337069i | \(-0.109436\pi\) |
−0.992119 | + | 0.125301i | \(0.960010\pi\) | |||||||
\(282\) | 7.34865 | − | 18.4437i | 0.437606 | − | 1.09831i | ||||
\(283\) | −8.26390 | + | 29.7639i | −0.491238 | + | 1.76928i | 0.136274 | + | 0.990671i | \(0.456487\pi\) |
−0.627511 | + | 0.778607i | \(0.715926\pi\) | |||||||
\(284\) | −36.7326 | + | 48.3209i | −2.17968 | + | 2.86732i | ||||
\(285\) | −1.45089 | − | 8.85004i | −0.0859433 | − | 0.524231i | ||||
\(286\) | 56.1421 | − | 20.0522i | 3.31975 | − | 1.18571i | ||||
\(287\) | 27.2548 | − | 30.9371i | 1.60880 | − | 1.82616i | ||||
\(288\) | −27.3886 | − | 28.9138i | −1.61389 | − | 1.70376i | ||||
\(289\) | 0.809084 | − | 4.93519i | 0.0475932 | − | 0.290306i | ||||
\(290\) | 1.46918 | + | 8.04856i | 0.0862730 | + | 0.472628i | ||||
\(291\) | −3.02949 | + | 0.164254i | −0.177592 | + | 0.00962876i | ||||
\(292\) | −35.9039 | + | 1.29706i | −2.10112 | + | 0.0759049i | ||||
\(293\) | −2.06622 | − | 1.82029i | −0.120710 | − | 0.106343i | 0.598544 | − | 0.801090i | \(-0.295746\pi\) |
−0.719254 | + | 0.694747i | \(0.755516\pi\) | |||||||
\(294\) | −28.7788 | − | 2.60511i | −1.67842 | − | 0.151933i | ||||
\(295\) | 10.8843 | − | 3.44982i | 0.633708 | − | 0.200856i | ||||
\(296\) | 2.25027 | − | 4.86389i | 0.130794 | − | 0.282708i | ||||
\(297\) | 3.29447 | + | 9.77763i | 0.191164 | + | 0.567356i | ||||
\(298\) | −9.60714 | − | 7.86625i | −0.556527 | − | 0.455680i | ||||
\(299\) | 34.6280 | − | 0.625282i | 2.00259 | − | 0.0361610i | ||||
\(300\) | 33.7343 | + | 1.21868i | 1.94765 | + | 0.0703608i | ||||
\(301\) | −10.5809 | − | 10.0227i | −0.609872 | − | 0.577702i | ||||
\(302\) | 7.44534 | − | 22.0970i | 0.428431 | − | 1.27154i | ||||
\(303\) | 23.9534 | − | 15.0079i | 1.37609 | − | 0.862179i | ||||
\(304\) | 22.5274 | + | 42.4911i | 1.29203 | + | 2.43703i | ||||
\(305\) | −3.84188 | + | 4.69213i | −0.219985 | + | 0.268671i | ||||
\(306\) | −10.6858 | − | 9.76215i | −0.610864 | − | 0.558065i | ||||
\(307\) | −2.69389 | − | 0.194893i | −0.153748 | − | 0.0111231i | −0.00493109 | − | 0.999988i | \(-0.501570\pi\) |
−0.148817 | + | 0.988865i | \(0.547547\pi\) | |||||||
\(308\) | 41.3217 | − | 48.6476i | 2.35452 | − | 2.77196i | ||||
\(309\) | 3.95842 | − | 6.07140i | 0.225186 | − | 0.345390i | ||||
\(310\) | −8.17031 | − | 5.53960i | −0.464042 | − | 0.314628i | ||||
\(311\) | −9.56136 | − | 3.80959i | −0.542175 | − | 0.216022i | 0.0829407 | − | 0.996554i | \(-0.473569\pi\) |
−0.625115 | + | 0.780532i | \(0.714948\pi\) | |||||||
\(312\) | 38.2469 | + | 137.753i | 2.16531 | + | 7.79873i | ||||
\(313\) | 19.9881 | + | 2.17384i | 1.12979 | + | 0.122873i | 0.653865 | − | 0.756611i | \(-0.273146\pi\) |
0.475929 | + | 0.879483i | \(0.342112\pi\) | |||||||
\(314\) | −4.43488 | − | 40.7780i | −0.250275 | − | 2.30124i | ||||
\(315\) | −3.49207 | − | 6.88426i | −0.196756 | − | 0.387884i | ||||
\(316\) | −2.18735 | + | 60.5479i | −0.123048 | + | 3.40608i | ||||
\(317\) | −7.26344 | − | 17.3140i | −0.407955 | − | 0.972453i | −0.987515 | − | 0.157523i | \(-0.949649\pi\) |
0.579560 | − | 0.814930i | \(-0.303224\pi\) | |||||||
\(318\) | 0.255104 | − | 0.481178i | 0.0143055 | − | 0.0269831i | ||||
\(319\) | −0.467785 | − | 6.46590i | −0.0261909 | − | 0.362021i | ||||
\(320\) | 56.0362 | − | 16.6537i | 3.13252 | − | 0.930972i | ||||
\(321\) | −12.9403 | − | 6.86053i | −0.722259 | − | 0.382918i | ||||
\(322\) | 42.9639 | − | 25.8505i | 2.39428 | − | 1.44059i | ||||
\(323\) | 5.23730 | + | 8.35902i | 0.291411 | + | 0.465108i | ||||
\(324\) | −61.8531 | + | 15.9764i | −3.43628 | + | 0.887580i | ||||
\(325\) | −16.0174 | − | 9.24762i | −0.888483 | − | 0.512966i | ||||
\(326\) | −17.8139 | + | 18.1384i | −0.986618 | + | 1.00459i | ||||
\(327\) | −5.72292 | + | 11.8058i | −0.316478 | + | 0.652861i | ||||
\(328\) | −120.167 | + | 19.7004i | −6.63511 | + | 1.08777i | ||||
\(329\) | −3.91747 | + | 10.9681i | −0.215977 | + | 0.604691i | ||||
\(330\) | 28.1255 | + | 4.09096i | 1.54826 | + | 0.225200i | ||||
\(331\) | 14.9902 | − | 1.90470i | 0.823936 | − | 0.104692i | 0.297301 | − | 0.954784i | \(-0.403913\pi\) |
0.526635 | + | 0.850092i | \(0.323454\pi\) | |||||||
\(332\) | 57.0054 | + | 67.1120i | 3.12858 | + | 3.68325i | ||||
\(333\) | 0.468298 | + | 0.639686i | 0.0256626 | + | 0.0350546i | ||||
\(334\) | 6.12913 | + | 19.3376i | 0.335371 | + | 1.05811i | ||||
\(335\) | −13.3108 | − | 3.43815i | −0.727249 | − | 0.187846i | ||||
\(336\) | 88.2950 | + | 86.7150i | 4.81689 | + | 4.73069i | ||||
\(337\) | −13.5250 | − | 4.01958i | −0.736756 | − | 0.218961i | −0.105374 | − | 0.994433i | \(-0.533604\pi\) |
−0.631382 | + | 0.775472i | \(0.717512\pi\) | |||||||
\(338\) | 18.2500 | − | 82.9107i | 0.992671 | − | 4.50975i | ||||
\(339\) | −0.497956 | + | 4.57863i | −0.0270452 | + | 0.248677i | ||||
\(340\) | 27.2949 | − | 10.3083i | 1.48028 | − | 0.559044i | ||||
\(341\) | 5.96136 | + | 5.06363i | 0.322826 | + | 0.274211i | ||||
\(342\) | −11.8967 | − | 0.214819i | −0.643298 | − | 0.0116161i | ||||
\(343\) | −7.19726 | − | 0.390224i | −0.388615 | − | 0.0210701i | ||||
\(344\) | 5.42574 | + | 42.7011i | 0.292536 | + | 2.30229i | ||||
\(345\) | 14.7253 | + | 7.46946i | 0.792784 | + | 0.402142i | ||||
\(346\) | 49.2620 | − | 8.99223i | 2.64834 | − | 0.483426i | ||||
\(347\) | −6.69172 | − | 1.60015i | −0.359230 | − | 0.0859006i | 0.0489519 | − | 0.998801i | \(-0.484412\pi\) |
−0.408182 | + | 0.912900i | \(0.633837\pi\) | |||||||
\(348\) | 23.9989 | 1.28648 | ||||||||
\(349\) | 11.8365 | − | 14.4533i | 0.633593 | − | 0.773667i | ||||
\(350\) | −26.7767 | −1.43127 | ||||||||
\(351\) | 20.3537 | + | 4.86706i | 1.08640 | + | 0.259784i | ||||
\(352\) | −84.6215 | + | 15.4467i | −4.51034 | + | 0.823314i | ||||
\(353\) | 14.2010 | + | 7.20351i | 0.755844 | + | 0.383404i | 0.787677 | − | 0.616089i | \(-0.211284\pi\) |
−0.0318328 | + | 0.999493i | \(0.510134\pi\) | |||||||
\(354\) | −5.70857 | − | 44.9270i | −0.303407 | − | 2.38784i | ||||
\(355\) | 15.8316 | + | 0.858365i | 0.840255 | + | 0.0455573i | ||||
\(356\) | 3.87727 | + | 0.0700122i | 0.205495 | + | 0.00371064i | ||||
\(357\) | 19.3459 | + | 16.4326i | 1.02389 | + | 0.869703i | ||||
\(358\) | −33.6952 | + | 12.7254i | −1.78085 | + | 0.672559i | ||||
\(359\) | −0.853826 | + | 7.85080i | −0.0450632 | + | 0.414350i | 0.949780 | + | 0.312920i | \(0.101307\pi\) |
−0.994843 | + | 0.101430i | \(0.967658\pi\) | |||||||
\(360\) | −4.90101 | + | 22.2655i | −0.258306 | + | 1.17350i | ||||
\(361\) | −10.4395 | − | 3.10256i | −0.549445 | − | 0.163293i | ||||
\(362\) | 7.71161 | + | 7.57362i | 0.405313 | + | 0.398060i | ||||
\(363\) | 0.808154 | + | 0.208743i | 0.0424171 | + | 0.0109562i | ||||
\(364\) | −39.1162 | − | 123.413i | −2.05025 | − | 6.46860i | ||||
\(365\) | 5.54351 | + | 7.57234i | 0.290161 | + | 0.396354i | ||||
\(366\) | 15.5720 | + | 18.3328i | 0.813961 | + | 0.958270i | ||||
\(367\) | 35.4773 | − | 4.50786i | 1.85190 | − | 0.235308i | 0.880717 | − | 0.473642i | \(-0.157061\pi\) |
0.971183 | + | 0.238334i | \(0.0766012\pi\) | |||||||
\(368\) | −87.6234 | − | 12.7452i | −4.56769 | − | 0.664388i | ||||
\(369\) | 6.05898 | − | 16.9639i | 0.315418 | − | 0.883104i | ||||
\(370\) | −2.13253 | + | 0.349610i | −0.110865 | + | 0.0181754i | ||||
\(371\) | −0.139362 | + | 0.287489i | −0.00723531 | + | 0.0149257i | ||||
\(372\) | −20.2888 | + | 20.6584i | −1.05192 | + | 1.07109i | ||||
\(373\) | −22.7889 | − | 13.1572i | −1.17996 | − | 0.681252i | −0.223957 | − | 0.974599i | \(-0.571898\pi\) |
−0.956006 | + | 0.293347i | \(0.905231\pi\) | |||||||
\(374\) | −30.2677 | + | 7.81804i | −1.56511 | + | 0.404261i | ||||
\(375\) | −13.0420 | − | 20.8158i | −0.673486 | − | 1.07492i | ||||
\(376\) | 29.4741 | − | 17.7340i | 1.52001 | − | 0.914560i | ||||
\(377\) | −11.6174 | − | 6.15916i | −0.598327 | − | 0.317213i | ||||
\(378\) | 29.0425 | − | 8.63132i | 1.49379 | − | 0.443947i | ||||
\(379\) | −0.117589 | − | 1.62536i | −0.00604012 | − | 0.0834890i | 0.993499 | − | 0.113839i | \(-0.0363148\pi\) |
−0.999539 | + | 0.0303500i | \(0.990338\pi\) | |||||||
\(380\) | 11.2352 | − | 21.1917i | 0.576351 | − | 1.08711i | ||||
\(381\) | −6.03053 | − | 14.3751i | −0.308953 | − | 0.736460i | ||||
\(382\) | 2.58386 | − | 71.5237i | 0.132202 | − | 3.65947i | ||||
\(383\) | 10.5285 | + | 20.7558i | 0.537980 | + | 1.06057i | 0.986030 | + | 0.166566i | \(0.0532679\pi\) |
−0.448050 | + | 0.894008i | \(0.647882\pi\) | |||||||
\(384\) | −12.9435 | − | 119.014i | −0.660521 | − | 6.07339i | ||||
\(385\) | −16.5749 | − | 1.80263i | −0.844738 | − | 0.0918708i | ||||
\(386\) | −5.85153 | − | 21.0753i | −0.297835 | − | 1.07270i | ||||
\(387\) | −5.91527 | − | 2.35686i | −0.300690 | − | 0.119806i | ||||
\(388\) | −6.71621 | − | 4.55370i | −0.340964 | − | 0.231179i | ||||
\(389\) | −5.13710 | + | 7.87926i | −0.260461 | + | 0.399494i | −0.943753 | − | 0.330651i | \(-0.892732\pi\) |
0.683292 | + | 0.730146i | \(0.260548\pi\) | |||||||
\(390\) | 37.3201 | − | 43.9367i | 1.88978 | − | 2.22482i | ||||
\(391\) | −18.1138 | − | 1.31047i | −0.916053 | − | 0.0662731i | ||||
\(392\) | −36.9626 | − | 33.7678i | −1.86689 | − | 1.70553i | ||||
\(393\) | −25.0916 | + | 30.6447i | −1.26571 | + | 1.54582i | ||||
\(394\) | −13.7481 | − | 25.9317i | −0.692619 | − | 1.30642i | ||||
\(395\) | 13.4112 | − | 8.40270i | 0.674790 | − | 0.422786i | ||||
\(396\) | 8.90424 | − | 26.4268i | 0.447455 | − | 1.32800i | ||||
\(397\) | −26.8973 | − | 25.4785i | −1.34994 | − | 1.27873i | −0.928234 | − | 0.371997i | \(-0.878673\pi\) |
−0.421705 | − | 0.906733i | \(-0.638568\pi\) | |||||||
\(398\) | 27.8077 | + | 1.00458i | 1.39388 | + | 0.0503551i | ||||
\(399\) | 20.8637 | − | 0.376737i | 1.04449 | − | 0.0188604i | ||||
\(400\) | 36.5860 | + | 29.9563i | 1.82930 | + | 1.49782i | ||||
\(401\) | −3.63806 | − | 10.7974i | −0.181676 | − | 0.539195i | 0.817657 | − | 0.575705i | \(-0.195272\pi\) |
−0.999333 | + | 0.0365102i | \(0.988376\pi\) | |||||||
\(402\) | −22.8962 | + | 49.4892i | −1.14196 | + | 2.46830i | ||||
\(403\) | 15.1232 | − | 4.79337i | 0.753342 | − | 0.238775i | ||||
\(404\) | 75.2924 | + | 6.81560i | 3.74594 | + | 0.339089i | ||||
\(405\) | 12.5211 | + | 11.0308i | 0.622177 | + | 0.548123i | ||||
\(406\) | −19.0243 | + | 0.687273i | −0.944162 | + | 0.0341088i | ||||
\(407\) | 1.70979 | − | 0.0927023i | 0.0847513 | − | 0.00459508i | ||||
\(408\) | −13.4620 | − | 73.7485i | −0.666468 | − | 3.65110i | ||||
\(409\) | −2.24642 | + | 13.7026i | −0.111078 | + | 0.677548i | 0.871315 | + | 0.490724i | \(0.163268\pi\) |
−0.982393 | + | 0.186824i | \(0.940181\pi\) | |||||||
\(410\) | 33.7673 | + | 35.6477i | 1.66765 | + | 1.76051i | ||||
\(411\) | −16.7591 | + | 19.0233i | −0.826663 | + | 0.938348i | ||||
\(412\) | 18.2552 | − | 6.52019i | 0.899368 | − | 0.321227i | ||||
\(413\) | 4.29808 | + | 26.2172i | 0.211495 | + | 1.29006i | ||||
\(414\) | 13.2574 | − | 17.4398i | 0.651564 | − | 0.857117i | ||||
\(415\) | 6.15338 | − | 22.1625i | 0.302058 | − | 1.08791i | ||||
\(416\) | −64.5797 | + | 162.083i | −3.16628 | + | 7.94676i | ||||
\(417\) | 4.17928 | + | 17.4775i | 0.204660 | + | 0.855875i | ||||
\(418\) | −14.4222 | + | 21.2711i | −0.705412 | + | 1.04041i | ||||
\(419\) | 1.52566 | − | 12.0071i | 0.0745334 | − | 0.586585i | −0.910410 | − | 0.413707i | \(-0.864234\pi\) |
0.984943 | − | 0.172878i | \(-0.0553066\pi\) | |||||||
\(420\) | 11.0834 | − | 60.7179i | 0.540814 | − | 2.96273i | ||||
\(421\) | −19.1920 | − | 6.85479i | −0.935360 | − | 0.334082i | −0.175731 | − | 0.984438i | \(-0.556229\pi\) |
−0.759629 | + | 0.650356i | \(0.774620\pi\) | |||||||
\(422\) | −50.4788 | + | 27.9411i | −2.45727 | + | 1.36015i | ||||
\(423\) | 0.183705 | + | 5.08513i | 0.00893205 | + | 0.247247i | ||||
\(424\) | 0.856376 | − | 0.396202i | 0.0415893 | − | 0.0192413i | ||||
\(425\) | 7.92776 | + | 5.58671i | 0.384553 | + | 0.270995i | ||||
\(426\) | 14.6255 | − | 61.1626i | 0.708605 | − | 2.96334i | ||||
\(427\) | −9.51721 | − | 10.4176i | −0.460570 | − | 0.504145i | ||||
\(428\) | −16.4482 | − | 35.5521i | −0.795052 | − | 1.71848i | ||||
\(429\) | −33.1620 | + | 31.4127i | −1.60108 | + | 1.51662i | ||||
\(430\) | 13.0237 | − | 11.4736i | 0.628058 | − | 0.553305i | ||||
\(431\) | 22.7174 | − | 16.6308i | 1.09426 | − | 0.801080i | 0.112967 | − | 0.993599i | \(-0.463965\pi\) |
0.981293 | + | 0.192519i | \(0.0616658\pi\) | |||||||
\(432\) | −49.3382 | − | 20.6980i | −2.37379 | − | 0.995832i | ||||
\(433\) | 18.6991 | + | 5.92675i | 0.898621 | + | 0.284821i | 0.715784 | − | 0.698322i | \(-0.246070\pi\) |
0.182837 | + | 0.983143i | \(0.441472\pi\) | |||||||
\(434\) | 15.4916 | − | 16.9573i | 0.743623 | − | 0.813977i | ||||
\(435\) | −3.51796 | − | 5.18860i | −0.168673 | − | 0.248774i | ||||
\(436\) | −31.2936 | + | 15.8738i | −1.49869 | + | 0.760216i | ||||
\(437\) | −11.8857 | + | 9.03530i | −0.568572 | + | 0.432217i | ||||
\(438\) | 33.4952 | − | 16.2370i | 1.60046 | − | 0.775834i | ||||
\(439\) | −3.32969 | − | 12.8910i | −0.158917 | − | 0.615252i | −0.997512 | − | 0.0704957i | \(-0.977542\pi\) |
0.838595 | − | 0.544756i | \(-0.183378\pi\) | |||||||
\(440\) | 34.5035 | + | 35.1322i | 1.64489 | + | 1.67486i | ||||
\(441\) | 7.01836 | − | 2.36476i | 0.334208 | − | 0.112608i | ||||
\(442\) | −19.1578 | + | 60.4436i | −0.911245 | + | 2.87501i | ||||
\(443\) | −9.43201 | + | 15.0540i | −0.448128 | + | 0.715238i | −0.992317 | − | 0.123725i | \(-0.960516\pi\) |
0.544188 | + | 0.838963i | \(0.316838\pi\) | |||||||
\(444\) | −0.114442 | + | 6.33780i | −0.00543119 | + | 0.300779i | ||||
\(445\) | −0.553225 | − | 0.848534i | −0.0262254 | − | 0.0402244i | ||||
\(446\) | 14.9171 | + | 1.89541i | 0.706343 | + | 0.0897502i | ||||
\(447\) | 9.16702 | + | 2.54521i | 0.433585 | + | 0.120384i | ||||
\(448\) | 19.5788 | + | 134.604i | 0.925009 | + | 6.35946i | ||||
\(449\) | 8.91961 | + | 1.96335i | 0.420942 | + | 0.0926564i | 0.420390 | − | 0.907343i | \(-0.361893\pi\) |
0.000552101 | 1.00000i | \(0.499824\pi\) | ||||||||
\(450\) | −10.8678 | + | 4.33014i | −0.512315 | + | 0.204125i | ||||
\(451\) | −23.5453 | − | 30.9734i | −1.10871 | − | 1.45848i | ||||
\(452\) | −8.47105 | + | 8.94278i | −0.398445 | + | 0.420633i | ||||
\(453\) | 1.61069 | + | 17.7934i | 0.0756767 | + | 0.836006i | ||||
\(454\) | 10.6324 | + | 35.7756i | 0.499001 | + | 1.67903i | ||||
\(455\) | −20.9481 | + | 26.5479i | −0.982061 | + | 1.24458i | ||||
\(456\) | −48.3817 | − | 38.1764i | −2.26568 | − | 1.78778i | ||||
\(457\) | 31.3885 | − | 2.27084i | 1.46829 | − | 0.106225i | 0.685301 | − | 0.728260i | \(-0.259671\pi\) |
0.782990 | + | 0.622035i | \(0.213694\pi\) | |||||||
\(458\) | 17.4535 | − | 23.8411i | 0.815547 | − | 1.11402i | ||||
\(459\) | −10.3995 | − | 3.50399i | −0.485406 | − | 0.163552i | ||||
\(460\) | 19.2631 | + | 39.7378i | 0.898147 | + | 1.85278i | ||||
\(461\) | −4.19420 | − | 5.95174i | −0.195343 | − | 0.277200i | 0.707915 | − | 0.706298i | \(-0.249636\pi\) |
−0.903258 | + | 0.429098i | \(0.858832\pi\) | |||||||
\(462\) | −18.8394 | + | 63.3905i | −0.876487 | + | 2.94919i | ||||
\(463\) | 21.9641 | + | 4.42049i | 1.02076 | + | 0.205437i | 0.678835 | − | 0.734290i | \(-0.262485\pi\) |
0.341923 | + | 0.939728i | \(0.388922\pi\) | |||||||
\(464\) | 26.7626 | + | 20.3444i | 1.24242 | + | 0.944465i | ||||
\(465\) | 7.44047 | + | 1.35818i | 0.345044 | + | 0.0629840i | ||||
\(466\) | 28.2820 | + | 12.4698i | 1.31014 | + | 0.577652i | ||||
\(467\) | 0.514146 | − | 9.48287i | 0.0237919 | − | 0.438815i | −0.962234 | − | 0.272223i | \(-0.912241\pi\) |
0.986026 | − | 0.166592i | \(-0.0532762\pi\) | |||||||
\(468\) | −35.8336 | − | 43.7640i | −1.65641 | − | 2.02299i | ||||
\(469\) | 12.3746 | − | 29.4975i | 0.571404 | − | 1.36207i | ||||
\(470\) | −12.5883 | − | 5.82398i | −0.580656 | − | 0.268640i | ||||
\(471\) | 15.7144 | + | 27.2181i | 0.724079 | + | 1.25414i | ||||
\(472\) | 39.2323 | − | 67.9523i | 1.80581 | − | 3.12776i | ||||
\(473\) | −11.2420 | + | 7.92226i | −0.516908 | + | 0.364266i | ||||
\(474\) | −23.2346 | − | 58.3144i | −1.06720 | − | 2.67847i | ||||
\(475\) | 7.92630 | − | 0.862037i | 0.363683 | − | 0.0395530i | ||||
\(476\) | 14.5939 | + | 66.3006i | 0.668909 | + | 3.03888i | ||||
\(477\) | −0.0100720 | + | 0.139220i | −0.000461167 | + | 0.00637443i | ||||
\(478\) | 49.0287 | + | 30.7187i | 2.24252 | + | 1.40504i | ||||
\(479\) | 15.2972 | − | 12.5252i | 0.698947 | − | 0.572292i | −0.215742 | − | 0.976450i | \(-0.569217\pi\) |
0.914689 | + | 0.404158i | \(0.132436\pi\) | |||||||
\(480\) | −63.3965 | + | 53.8495i | −2.89364 | + | 2.45788i | ||||
\(481\) | 1.68195 | − | 3.03863i | 0.0766904 | − | 0.138550i | ||||
\(482\) | 1.52992 | + | 0.250818i | 0.0696861 | + | 0.0114244i | ||||
\(483\) | −22.1306 | + | 31.4043i | −1.00698 | + | 1.42894i | ||||
\(484\) | 1.38285 | + | 1.75250i | 0.0628567 | + | 0.0796593i | ||||
\(485\) | 2.11957i | 0.0962449i | ||||||||
\(486\) | 31.2848 | − | 24.6858i | 1.41911 | − | 1.11977i | ||||
\(487\) | 3.93625 | − | 3.59603i | 0.178368 | − | 0.162952i | −0.580357 | − | 0.814362i | \(-0.697087\pi\) |
0.758725 | + | 0.651411i | \(0.225823\pi\) | |||||||
\(488\) | 2.25621 | + | 41.6133i | 0.102134 | + | 1.88374i | ||||
\(489\) | 6.88220 | − | 18.2232i | 0.311224 | − | 0.824080i | ||||
\(490\) | −2.90580 | + | 19.9775i | −0.131271 | + | 0.902490i | ||||
\(491\) | 15.2958 | − | 34.6915i | 0.690289 | − | 1.56560i | −0.128628 | − | 0.991693i | \(-0.541057\pi\) |
0.818917 | − | 0.573912i | \(-0.194575\pi\) | |||||||
\(492\) | 120.652 | − | 78.6623i | 5.43941 | − | 3.54637i | ||||
\(493\) | 5.77593 | + | 3.76577i | 0.260135 | + | 0.169602i | ||||
\(494\) | 21.0296 | + | 47.6960i | 0.946166 | + | 2.14595i | ||||
\(495\) | −7.01878 | + | 1.94875i | −0.315471 | + | 0.0875900i | ||||
\(496\) | −40.1378 | + | 5.83820i | −1.80224 | + | 0.262143i | ||||
\(497\) | −7.27871 | + | 36.1658i | −0.326495 | + | 1.62226i | ||||
\(498\) | −82.0938 | − | 39.7955i | −3.67871 | − | 1.78328i | ||||
\(499\) | −34.1711 | + | 6.87726i | −1.52971 | + | 0.307869i | −0.888276 | − | 0.459311i | \(-0.848097\pi\) |
−0.641433 | + | 0.767179i | \(0.721660\pi\) | |||||||
\(500\) | 5.92283 | − | 65.4300i | 0.264877 | − | 2.92612i | ||||
\(501\) | −10.2746 | − | 11.6627i | −0.459035 | − | 0.521053i | ||||
\(502\) | −54.7099 | − | 30.2832i | −2.44182 | − | 1.35160i | ||||
\(503\) | −0.481459 | + | 0.949149i | −0.0214672 | + | 0.0423204i | −0.902307 | − | 0.431093i | \(-0.858128\pi\) |
0.880840 | + | 0.473414i | \(0.156978\pi\) | |||||||
\(504\) | −49.6263 | − | 18.7420i | −2.21053 | − | 0.834833i | ||||
\(505\) | −9.56344 | − | 17.2774i | −0.425568 | − | 0.768835i | ||||
\(506\) | −15.9150 | − | 44.5587i | −0.707508 | − | 1.98088i | ||||
\(507\) | 12.8341 | + | 63.7690i | 0.569984 | + | 2.83208i | ||||
\(508\) | 10.4269 | − | 40.3681i | 0.462621 | − | 1.79105i | ||||
\(509\) | −4.81926 | + | 2.78240i | −0.213610 | + | 0.123328i | −0.602988 | − | 0.797750i | \(-0.706023\pi\) |
0.389378 | + | 0.921078i | \(0.372690\pi\) | |||||||
\(510\) | −21.5672 | + | 21.1813i | −0.955012 | + | 0.937923i | ||||
\(511\) | −19.2924 | + | 10.2282i | −0.853445 | + | 0.452468i | ||||
\(512\) | 52.4655 | − | 87.1983i | 2.31867 | − | 3.85366i | ||||
\(513\) | −8.31916 | + | 3.48999i | −0.367300 | + | 0.154087i | ||||
\(514\) | −8.12731 | + | 0.735698i | −0.358480 | + | 0.0324502i | ||||
\(515\) | −4.08567 | − | 2.99101i | −0.180036 | − | 0.131800i | ||||
\(516\) | −26.2482 | − | 43.6249i | −1.15551 | − | 1.92048i | ||||
\(517\) | 9.41718 | + | 5.66613i | 0.414167 | + | 0.249196i | ||||
\(518\) | −0.0907795 | − | 5.02736i | −0.00398862 | − | 0.220889i | ||||
\(519\) | −31.7573 | + | 21.5320i | −1.39399 | + | 0.945149i | ||||
\(520\) | 97.5425 | − | 21.4707i | 4.27752 | − | 0.941554i | ||||
\(521\) | −4.60021 | − | 12.1808i | −0.201539 | − | 0.533649i | 0.795880 | − | 0.605455i | \(-0.207009\pi\) |
−0.997419 | + | 0.0718060i | \(0.977124\pi\) | |||||||
\(522\) | −7.61026 | + | 3.35543i | −0.333092 | + | 0.146863i | ||||
\(523\) | 34.5263 | − | 8.25606i | 1.50973 | − | 0.361012i | 0.608217 | − | 0.793770i | \(-0.291885\pi\) |
0.901510 | + | 0.432758i | \(0.142460\pi\) | |||||||
\(524\) | −103.025 | + | 24.6358i | −4.50068 | + | 1.07622i | ||||
\(525\) | 18.7728 | − | 8.27708i | 0.819311 | − | 0.361241i | ||||
\(526\) | 0.486839 | + | 1.28909i | 0.0212272 | + | 0.0562069i | ||||
\(527\) | −8.12460 | + | 1.78836i | −0.353913 | + | 0.0779021i | ||||
\(528\) | 96.6589 | − | 65.5364i | 4.20654 | − | 2.85211i | ||||
\(529\) | −0.0810266 | − | 4.48724i | −0.00352289 | − | 0.195098i | ||||
\(530\) | −0.326019 | − | 0.196159i | −0.0141614 | − | 0.00852061i | ||||
\(531\) | 5.98412 | + | 9.94569i | 0.259689 | + | 0.431606i | ||||
\(532\) | 45.0324 | + | 32.9671i | 1.95240 | + | 1.42930i | ||||
\(533\) | −78.5934 | + | 7.11441i | −3.40426 | + | 0.308159i | ||||
\(534\) | −3.70497 | + | 1.55428i | −0.160330 | + | 0.0672601i | ||||
\(535\) | −5.27531 | + | 8.76764i | −0.228072 | + | 0.379058i | ||||
\(536\) | −83.4697 | + | 44.2528i | −3.60534 | + | 1.91143i | ||||
\(537\) | 19.6897 | − | 19.3373i | 0.849671 | − | 0.834467i | ||||
\(538\) | 37.9732 | − | 21.9239i | 1.63714 | − | 0.945205i | ||||
\(539\) | 4.00044 | − | 15.4878i | 0.172311 | − | 0.667106i | ||||
\(540\) | 5.26488 | + | 26.1596i | 0.226564 | + | 1.12573i | ||||
\(541\) | −11.0701 | − | 30.9938i | −0.475939 | − | 1.33253i | −0.903517 | − | 0.428551i | \(-0.859024\pi\) |
0.427579 | − | 0.903978i | \(-0.359367\pi\) | |||||||
\(542\) | 18.9213 | + | 34.1834i | 0.812738 | + | 1.46830i | ||||
\(543\) | −7.74763 | − | 2.92599i | −0.332483 | − | 0.125566i | ||||
\(544\) | 41.3885 | − | 81.5934i | 1.77452 | − | 3.49829i | ||||
\(545\) | 8.01920 | + | 4.43881i | 0.343505 | + | 0.190138i | ||||
\(546\) | 88.6677 | + | 100.647i | 3.79463 | + | 4.30729i | ||||
\(547\) | −2.61082 | + | 28.8419i | −0.111631 | + | 1.23319i | 0.726285 | + | 0.687393i | \(0.241245\pi\) |
−0.837916 | + | 0.545799i | \(0.816226\pi\) | |||||||
\(548\) | −66.4736 | + | 13.3784i | −2.83961 | + | 0.571499i | ||||
\(549\) | −5.54741 | − | 2.68914i | −0.236758 | − | 0.114770i | ||||
\(550\) | −4.98540 | + | 24.7710i | −0.212578 | + | 1.05624i | ||||
\(551\) | 5.60937 | − | 0.815905i | 0.238967 | − | 0.0347587i | ||||
\(552\) | 109.331 | − | 30.3557i | 4.65346 | − | 1.29203i | ||||
\(553\) | 14.8561 | + | 33.6942i | 0.631745 | + | 1.43282i | ||||
\(554\) | 42.5437 | + | 27.7376i | 1.80751 | + | 1.17846i | ||||
\(555\) | 1.38702 | − | 0.904304i | 0.0588756 | − | 0.0383856i | ||||
\(556\) | −19.3899 | + | 43.9772i | −0.822317 | + | 1.86505i | ||||
\(557\) | 3.14668 | − | 21.6335i | 0.133329 | − | 0.916641i | −0.810389 | − | 0.585892i | \(-0.800744\pi\) |
0.943719 | − | 0.330750i | \(-0.107302\pi\) | |||||||
\(558\) | 3.54536 | − | 9.38766i | 0.150087 | − | 0.397411i | ||||
\(559\) | 1.51022 | + | 27.8544i | 0.0638755 | + | 1.17811i | ||||
\(560\) | 63.8316 | − | 58.3144i | 2.69738 | − | 2.46423i | ||||
\(561\) | 18.8036 | − | 14.8373i | 0.793889 | − | 0.626433i | ||||
\(562\) | 10.1141i | 0.426637i | ||||||||
\(563\) | −16.5279 | − | 20.9460i | −0.696567 | − | 0.882771i | 0.300918 | − | 0.953650i | \(-0.402707\pi\) |
−0.997485 | + | 0.0708792i | \(0.977420\pi\) | |||||||
\(564\) | −23.4365 | + | 33.2573i | −0.986854 | + | 1.40039i | ||||
\(565\) | 3.17520 | + | 0.520547i | 0.133582 | + | 0.0218996i | ||||
\(566\) | 41.4528 | − | 74.8891i | 1.74239 | − | 3.14782i | ||||
\(567\) | −29.5925 | + | 25.1361i | −1.24277 | + | 1.05562i | ||||
\(568\) | 84.3016 | − | 69.0255i | 3.53722 | − | 2.89625i | ||||
\(569\) | −12.8002 | − | 8.01989i | −0.536612 | − | 0.336211i | 0.235318 | − | 0.971918i | \(-0.424387\pi\) |
−0.771930 | + | 0.635707i | \(0.780709\pi\) | |||||||
\(570\) | −1.79319 | + | 24.7862i | −0.0751085 | + | 1.03818i | ||||
\(571\) | 2.52440 | + | 11.4685i | 0.105643 | + | 0.479940i | 0.999501 | + | 0.0315902i | \(0.0100571\pi\) |
−0.893858 | + | 0.448350i | \(0.852012\pi\) | |||||||
\(572\) | −121.452 | + | 13.2087i | −5.07815 | + | 0.552282i | ||||
\(573\) | 20.2976 | + | 50.9431i | 0.847943 | + | 2.12818i | ||||
\(574\) | −93.3901 | + | 65.8122i | −3.89803 | + | 2.74695i | ||||
\(575\) | −7.33963 | + | 12.7126i | −0.306084 | + | 0.530153i | ||||
\(576\) | 29.7137 | + | 51.4657i | 1.23807 | + | 2.14440i | ||||
\(577\) | −22.3386 | − | 10.3350i | −0.929970 | − | 0.430250i | −0.104391 | − | 0.994536i | \(-0.533289\pi\) |
−0.825579 | + | 0.564287i | \(0.809151\pi\) | |||||||
\(578\) | −5.36099 | + | 12.7791i | −0.222988 | + | 0.531541i | ||||
\(579\) | 10.6171 | + | 12.9668i | 0.441233 | + | 0.538883i | ||||
\(580\) | 0.907699 | − | 16.7415i | 0.0376902 | − | 0.695154i | ||||
\(581\) | 48.9696 | + | 21.5911i | 2.03160 | + | 0.895750i | ||||
\(582\) | 8.27044 | + | 1.50968i | 0.342821 | + | 0.0625782i | ||||
\(583\) | 0.240008 | + | 0.182449i | 0.00994011 | + | 0.00755628i | ||||
\(584\) | 63.2237 | + | 12.7244i | 2.61622 | + | 0.526539i | ||||
\(585\) | −4.20905 | + | 14.1625i | −0.174023 | + | 0.585549i | ||||
\(586\) | 4.39545 | + | 6.23733i | 0.181575 | + | 0.257662i | ||||
\(587\) | 1.65635 | + | 3.41688i | 0.0683651 | + | 0.141030i | 0.931262 | − | 0.364350i | \(-0.118709\pi\) |
−0.862897 | + | 0.505380i | \(0.831352\pi\) | |||||||
\(588\) | 56.1167 | + | 18.9079i | 2.31421 | + | 0.779749i | ||||
\(589\) | −4.03984 | + | 5.51835i | −0.166459 | + | 0.227380i | ||||
\(590\) | −31.5568 | + | 2.28302i | −1.29917 | + | 0.0939904i | ||||
\(591\) | 17.6545 | + | 13.9306i | 0.726209 | + | 0.573028i | ||||
\(592\) | −5.50031 | + | 6.97064i | −0.226061 | + | 0.286491i | ||||
\(593\) | −4.13011 | − | 13.8969i | −0.169603 | − | 0.570679i | −0.999911 | − | 0.0133732i | \(-0.995743\pi\) |
0.830307 | − | 0.557306i | \(-0.188165\pi\) | |||||||
\(594\) | −2.57753 | − | 28.4742i | −0.105757 | − | 1.16831i | ||||
\(595\) | 12.1950 | − | 12.8741i | 0.499946 | − | 0.527787i | ||||
\(596\) | 15.3987 | + | 20.2567i | 0.630756 | + | 0.829745i | ||||
\(597\) | −19.8062 | + | 7.89150i | −0.810613 | + | 0.322978i | ||||
\(598\) | −93.7268 | − | 20.6308i | −3.83277 | − | 0.843657i | ||||
\(599\) | −5.39449 | − | 37.0873i | −0.220413 | − | 1.51534i | −0.746771 | − | 0.665081i | \(-0.768397\pi\) |
0.526358 | − | 0.850263i | \(-0.323557\pi\) | |||||||
\(600\) | −58.3857 | − | 16.2107i | −2.38359 | − | 0.661800i | ||||
\(601\) | 2.73265 | + | 0.347219i | 0.111467 | + | 0.0141633i | 0.181584 | − | 0.983375i | \(-0.441878\pi\) |
−0.0701171 | + | 0.997539i | \(0.522337\pi\) | |||||||
\(602\) | 22.0567 | + | 33.8305i | 0.898965 | + | 1.37883i | ||||
\(603\) | 0.252317 | − | 13.9733i | 0.0102751 | − | 0.569036i | ||||
\(604\) | −25.3703 | + | 40.4925i | −1.03230 | + | 1.64761i | ||||
\(605\) | 0.176185 | − | 0.555870i | 0.00716294 | − | 0.0225993i | ||||
\(606\) | −74.2270 | + | 25.0100i | −3.01527 | + | 1.01596i | ||||
\(607\) | −7.55713 | − | 7.69482i | −0.306734 | − | 0.312323i | 0.542794 | − | 0.839866i | \(-0.317366\pi\) |
−0.849529 | + | 0.527543i | \(0.823114\pi\) | |||||||
\(608\) | −18.8100 | − | 72.8234i | −0.762847 | − | 2.95338i | ||||
\(609\) | 13.1253 | − | 6.36256i | 0.531863 | − | 0.257824i | ||||
\(610\) | 13.3778 | − | 10.1696i | 0.541653 | − | 0.411754i | ||||
\(611\) | 19.8804 | − | 10.0844i | 0.804276 | − | 0.407972i | ||||
\(612\) | 16.6449 | + | 24.5494i | 0.672830 | + | 0.992350i | ||||
\(613\) | −10.7745 | + | 11.7939i | −0.435178 | + | 0.476350i | −0.916409 | − | 0.400244i | \(-0.868925\pi\) |
0.481231 | + | 0.876594i | \(0.340190\pi\) | |||||||
\(614\) | 7.13453 | + | 2.26132i | 0.287926 | + | 0.0912593i | ||||
\(615\) | −34.6930 | − | 14.5541i | −1.39896 | − | 0.586879i | ||||
\(616\) | −92.4497 | + | 67.6801i | −3.72491 | + | 2.72691i | ||||
\(617\) | 15.6912 | − | 13.8235i | 0.631702 | − | 0.556515i | −0.283772 | − | 0.958892i | \(-0.591586\pi\) |
0.915474 | + | 0.402377i | \(0.131816\pi\) | |||||||
\(618\) | −14.5808 | + | 13.8116i | −0.586525 | + | 0.555586i | ||||
\(619\) | −12.6559 | − | 27.3553i | −0.508684 | − | 1.09950i | −0.976469 | − | 0.215660i | \(-0.930810\pi\) |
0.467785 | − | 0.883843i | \(-0.345052\pi\) | |||||||
\(620\) | 13.6439 | + | 14.9347i | 0.547951 | + | 0.599792i | ||||
\(621\) | 3.86288 | − | 16.1543i | 0.155012 | − | 0.648248i | ||||
\(622\) | 23.3131 | + | 16.4288i | 0.934771 | + | 0.658734i | ||||
\(623\) | 2.13909 | − | 0.989646i | 0.0857006 | − | 0.0396493i | ||||
\(624\) | −8.55155 | − | 236.715i | −0.342336 | − | 9.47617i | ||||
\(625\) | −2.76622 | + | 1.53117i | −0.110649 | + | 0.0612467i | ||||
\(626\) | −52.4677 | − | 18.7399i | −2.09703 | − | 0.748996i | ||||
\(627\) | 3.53597 | − | 19.3710i | 0.141213 | − | 0.773605i | ||||
\(628\) | −10.5954 | + | 83.3871i | −0.422803 | + | 3.32751i | ||||
\(629\) | −1.02204 | + | 1.50739i | −0.0407512 | + | 0.0601035i | ||||
\(630\) | 4.97469 | + | 20.8038i | 0.198196 | + | 0.828843i | ||||
\(631\) | 3.22617 | − | 8.09707i | 0.128432 | − | 0.322339i | −0.850673 | − | 0.525695i | \(-0.823805\pi\) |
0.979105 | + | 0.203355i | \(0.0651847\pi\) | |||||||
\(632\) | 29.0957 | − | 104.793i | 1.15737 | − | 4.16846i | ||||
\(633\) | 26.7530 | − | 35.1929i | 1.06334 | − | 1.39879i | ||||
\(634\) | 8.41723 | + | 51.3428i | 0.334291 | + | 2.03908i | ||||
\(635\) | −10.2561 | + | 3.66317i | −0.407001 | + | 0.145368i | ||||
\(636\) | −0.737766 | + | 0.837441i | −0.0292543 | + | 0.0332067i | ||||
\(637\) | −22.3124 | − | 23.5549i | −0.884050 | − | 0.933280i | ||||
\(638\) | −2.90624 | + | 17.7273i | −0.115059 | + | 0.701831i | ||||
\(639\) | 2.89428 | + | 15.8556i | 0.114496 | + | 0.627239i | ||||
\(640\) | −83.5129 | + | 4.52794i | −3.30114 | + | 0.178983i | ||||
\(641\) | 19.2948 | − | 0.697044i | 0.762100 | − | 0.0275316i | 0.347675 | − | 0.937615i | \(-0.386971\pi\) |
0.414425 | + | 0.910083i | \(0.363983\pi\) | |||||||
\(642\) | 30.4534 | + | 26.8288i | 1.20190 | + | 1.05885i | ||||
\(643\) | 45.9037 | + | 4.15528i | 1.81027 | + | 0.163868i | 0.942741 | − | 0.333525i | \(-0.108238\pi\) |
0.867525 | + | 0.497393i | \(0.165709\pi\) | |||||||
\(644\) | −97.9501 | + | 31.0456i | −3.85977 | + | 1.22337i | ||||
\(645\) | −5.58408 | + | 12.0698i | −0.219873 | + | 0.475248i | ||||
\(646\) | −8.72775 | − | 25.9030i | −0.343389 | − | 1.01914i | ||||
\(647\) | −5.57806 | − | 4.56727i | −0.219296 | − | 0.179558i | 0.517479 | − | 0.855696i | \(-0.326871\pi\) |
−0.736775 | + | 0.676138i | \(0.763652\pi\) | |||||||
\(648\) | 114.655 | − | 2.07034i | 4.50407 | − | 0.0813305i | ||||
\(649\) | 25.0536 | + | 0.905087i | 0.983441 | + | 0.0355278i | ||||
\(650\) | 37.2077 | + | 35.2450i | 1.45941 | + | 1.38242i | ||||
\(651\) | −5.61922 | + | 16.6773i | −0.220235 | + | 0.653633i | ||||
\(652\) | 44.1489 | − | 27.6612i | 1.72900 | − | 1.08330i | ||||
\(653\) | 15.1941 | + | 28.6591i | 0.594591 | + | 1.12152i | 0.980042 | + | 0.198790i | \(0.0637010\pi\) |
−0.385451 | + | 0.922728i | \(0.625954\pi\) | |||||||
\(654\) | 23.0317 | − | 28.1289i | 0.900610 | − | 1.09993i | ||||
\(655\) | 20.4286 | + | 18.6629i | 0.798211 | + | 0.729219i | ||||
\(656\) | 201.230 | + | 14.5582i | 7.85670 | + | 0.568404i | ||||
\(657\) | −6.17616 | + | 7.27114i | −0.240955 | + | 0.283674i | ||||
\(658\) | 17.6261 | − | 27.0348i | 0.687137 | − | 1.05393i | ||||
\(659\) | 32.8826 | + | 22.2950i | 1.28092 | + | 0.868489i | 0.995938 | − | 0.0900428i | \(-0.0287004\pi\) |
0.284987 | + | 0.958531i | \(0.408011\pi\) | |||||||
\(660\) | −54.1063 | − | 21.5579i | −2.10609 | − | 0.839141i | ||||
\(661\) | −10.3544 | − | 37.2932i | −0.402740 | − | 1.45054i | −0.835731 | − | 0.549140i | \(-0.814956\pi\) |
0.432991 | − | 0.901398i | \(-0.357458\pi\) | |||||||
\(662\) | −41.6266 | − | 4.52717i | −1.61786 | − | 0.175953i | ||||
\(663\) | −5.25275 | − | 48.2982i | −0.204000 | − | 1.87575i | ||||
\(664\) | −71.5047 | − | 140.965i | −2.77492 | − | 5.47048i | ||||
\(665\) | 0.526307 | − | 14.5687i | 0.0204093 | − | 0.564948i | ||||
\(666\) | −0.849835 | − | 2.02577i | −0.0329304 | − | 0.0784971i | ||||
\(667\) | −4.88838 | + | 9.22047i | −0.189279 | + | 0.357018i | ||||
\(668\) | −2.99964 | − | 41.4623i | −0.116060 | − | 1.60422i | ||||
\(669\) | −11.0441 | + | 3.28225i | −0.426988 | + | 0.126899i | ||||
\(670\) | 33.6575 | + | 17.8441i | 1.30030 | + | 0.689377i | ||||
\(671\) | −11.4093 | + | 6.86473i | −0.440450 | + | 0.265010i | ||||
\(672\) | −102.759 | − | 164.009i | −3.96402 | − | 6.32680i | ||||
\(673\) | −29.3181 | + | 7.57276i | −1.13013 | + | 0.291909i | −0.768145 | − | 0.640276i | \(-0.778820\pi\) |
−0.361984 | + | 0.932184i | \(0.617901\pi\) | |||||||
\(674\) | 33.8601 | + | 19.5491i | 1.30424 | + | 0.753004i | ||||
\(675\) | −6.21516 | + | 6.32840i | −0.239222 | + | 0.243580i | ||||
\(676\) | −75.8881 | + | 156.549i | −2.91877 | + | 6.02112i | ||||
\(677\) | 5.88490 | − | 0.964781i | 0.226175 | − | 0.0370796i | −0.0476286 | − | 0.998865i | \(-0.515166\pi\) |
0.273804 | + | 0.961786i | \(0.411718\pi\) | |||||||
\(678\) | 4.29269 | − | 12.0187i | 0.164860 | − | 0.461574i | ||||
\(679\) | −4.88045 | − | 0.709880i | −0.187294 | − | 0.0272427i | ||||
\(680\) | −51.9558 | + | 6.60167i | −1.99241 | + | 0.253163i | ||||
\(681\) | −18.5130 | − | 21.7952i | −0.709420 | − | 0.835194i | ||||
\(682\) | −12.8028 | − | 17.4885i | −0.490246 | − | 0.669667i | ||||
\(683\) | −13.9332 | − | 43.9598i | −0.533140 | − | 1.68208i | −0.715308 | − | 0.698809i | \(-0.753714\pi\) |
0.182168 | − | 0.983267i | \(-0.441689\pi\) | |||||||
\(684\) | 23.6085 | + | 6.09799i | 0.902693 | + | 0.233163i | ||||
\(685\) | 12.6367 | + | 12.4106i | 0.482823 | + | 0.474183i | ||||
\(686\) | 19.1454 | + | 5.68993i | 0.730974 | + | 0.217242i | ||||
\(687\) | −4.86674 | + | 22.1098i | −0.185678 | + | 0.843543i | ||||
\(688\) | 7.71082 | − | 70.8999i | 0.293972 | − | 2.70303i | ||||
\(689\) | 0.572062 | − | 0.216046i | 0.0217938 | − | 0.00823070i | ||||
\(690\) | −34.8715 | − | 29.6202i | −1.32754 | − | 1.12762i | ||||
\(691\) | 14.8896 | + | 0.268863i | 0.566427 | + | 0.0102280i | 0.300528 | − | 0.953773i | \(-0.402837\pi\) |
0.265899 | + | 0.964001i | \(0.414331\pi\) | |||||||
\(692\) | −102.468 | − | 5.55566i | −3.89525 | − | 0.211194i | ||||
\(693\) | −2.13642 | − | 16.8138i | −0.0811558 | − | 0.638704i | ||||
\(694\) | 17.0032 | + | 8.62493i | 0.645433 | + | 0.327398i | ||||
\(695\) | 12.3503 | − | 2.25441i | 0.468473 | − | 0.0855146i | ||||
\(696\) | −41.8981 | − | 10.0188i | −1.58814 | − | 0.379763i | ||||
\(697\) | 41.3811 | 1.56742 | ||||||||
\(698\) | −41.2142 | + | 31.3241i | −1.55998 | + | 1.18564i | ||||
\(699\) | −23.6828 | −0.895764 | ||||||||
\(700\) | 53.3677 | + | 12.7615i | 2.01711 | + | 0.482340i | ||||
\(701\) | 34.3316 | − | 6.26686i | 1.29669 | − | 0.236696i | 0.513288 | − | 0.858216i | \(-0.328427\pi\) |
0.783398 | + | 0.621521i | \(0.213485\pi\) | |||||||
\(702\) | −51.7174 | − | 26.2338i | −1.95195 | − | 0.990131i | ||||
\(703\) | 0.188721 | + | 1.48525i | 0.00711774 | + | 0.0560173i | ||||
\(704\) | 128.167 | + | 6.94903i | 4.83049 | + | 0.261901i | ||||
\(705\) | 10.6258 | + | 0.191871i | 0.400191 | + | 0.00722628i | ||||
\(706\) | −33.6300 | − | 28.5655i | −1.26568 | − | 1.07508i | ||||
\(707\) | 42.9852 | − | 16.2339i | 1.61663 | − | 0.610539i | ||||
\(708\) | −10.0342 | + | 92.2633i | −0.377110 | + | 3.46747i | ||||
\(709\) | −0.524269 | + | 2.38178i | −0.0196893 | + | 0.0894496i | −0.985441 | − | 0.170020i | \(-0.945617\pi\) |
0.965751 | + | 0.259470i | \(0.0835478\pi\) | |||||||
\(710\) | −42.1136 | − | 12.5160i | −1.58049 | − | 0.469716i | ||||
\(711\) | 11.4784 | + | 11.2730i | 0.430475 | + | 0.422772i | ||||
\(712\) | −6.73984 | − | 1.74088i | −0.252586 | − | 0.0652422i | ||||
\(713\) | −3.80439 | − | 12.0030i | −0.142475 | − | 0.449515i | ||||
\(714\) | −41.5480 | − | 56.7538i | −1.55489 | − | 2.12396i | ||||
\(715\) | 20.6591 | + | 24.3218i | 0.772607 | + | 0.909584i | ||||
\(716\) | 73.2217 | − | 9.30378i | 2.73642 | − | 0.347699i | ||||
\(717\) | −43.8690 | − | 6.38092i | −1.63832 | − | 0.238300i | ||||
\(718\) | 7.36053 | − | 20.6079i | 0.274692 | − | 0.769082i | ||||
\(719\) | −33.0861 | + | 5.42418i | −1.23390 | + | 0.202288i | −0.743218 | − | 0.669050i | \(-0.766701\pi\) |
−0.490684 | + | 0.871338i | \(0.663253\pi\) | |||||||
\(720\) | 16.4771 | − | 33.9905i | 0.614065 | − | 1.26675i | ||||
\(721\) | 8.25534 | − | 8.40575i | 0.307445 | − | 0.313047i | ||||
\(722\) | 26.1353 | + | 15.0892i | 0.972654 | + | 0.561562i | ||||
\(723\) | −1.15014 | + | 0.297077i | −0.0427742 | + | 0.0110484i | ||||
\(724\) | −11.7603 | − | 18.7700i | −0.437066 | − | 0.697582i | ||||
\(725\) | 4.77541 | − | 2.87327i | 0.177354 | − | 0.106710i | ||||
\(726\) | −2.04348 | − | 1.08338i | −0.0758407 | − | 0.0402082i | ||||
\(727\) | 22.1516 | − | 6.58337i | 0.821559 | − | 0.244164i | 0.153383 | − | 0.988167i | \(-0.450983\pi\) |
0.668176 | + | 0.744003i | \(0.267075\pi\) | |||||||
\(728\) | 16.7690 | + | 231.788i | 0.621502 | + | 8.59065i | ||||
\(729\) | 1.50611 | − | 2.84083i | 0.0557820 | − | 0.105216i | ||||
\(730\) | −10.0600 | − | 23.9802i | −0.372337 | − | 0.887548i | ||||
\(731\) | 0.528094 | − | 14.6181i | 0.0195323 | − | 0.540671i | ||||
\(732\) | −22.2988 | − | 43.9600i | −0.824189 | − | 1.62481i | ||||
\(733\) | 5.41329 | + | 49.7744i | 0.199945 | + | 1.83846i | 0.478557 | + | 0.878056i | \(0.341160\pi\) |
−0.278613 | + | 0.960403i | \(0.589875\pi\) | |||||||
\(734\) | −98.5177 | − | 10.7144i | −3.63636 | − | 0.395477i | ||||
\(735\) | −4.13812 | − | 14.9042i | −0.152637 | − | 0.549749i | ||||
\(736\) | 128.641 | + | 51.2554i | 4.74179 | + | 1.88930i | ||||
\(737\) | −24.9841 | − | 16.9396i | −0.920301 | − | 0.623980i | ||||
\(738\) | −27.2615 | + | 41.8136i | −1.00351 | + | 1.53918i | ||||
\(739\) | 16.4905 | − | 19.4141i | 0.606613 | − | 0.714160i | −0.370032 | − | 0.929019i | \(-0.620653\pi\) |
0.976645 | + | 0.214859i | \(0.0689292\pi\) | |||||||
\(740\) | 4.41689 | + | 0.319546i | 0.162368 | + | 0.0117467i | ||||
\(741\) | −29.4872 | − | 26.9385i | −1.08324 | − | 0.989610i | ||||
\(742\) | 0.560857 | − | 0.684981i | 0.0205897 | − | 0.0251465i | ||||
\(743\) | −16.9851 | − | 32.0372i | −0.623122 | − | 1.17533i | −0.971290 | − | 0.237900i | \(-0.923541\pi\) |
0.348168 | − | 0.937432i | \(-0.386804\pi\) | |||||||
\(744\) | 44.0451 | − | 27.5962i | 1.61477 | − | 1.01173i | ||||
\(745\) | 2.12225 | − | 6.29861i | 0.0777532 | − | 0.230763i | ||||
\(746\) | 52.9377 | + | 50.1453i | 1.93819 | + | 1.83595i | ||||
\(747\) | 23.3668 | + | 0.844149i | 0.854947 | + | 0.0308858i | ||||
\(748\) | 64.0516 | − | 1.15659i | 2.34196 | − | 0.0422890i | ||||
\(749\) | −18.4212 | − | 15.0832i | −0.673097 | − | 0.551127i | ||||
\(750\) | 21.7340 | + | 64.5041i | 0.793612 | + | 2.35536i | ||||
\(751\) | −17.3034 | + | 37.4007i | −0.631410 | + | 1.36477i | 0.282662 | + | 0.959220i | \(0.408783\pi\) |
−0.914072 | + | 0.405551i | \(0.867080\pi\) | |||||||
\(752\) | −54.3284 | + | 17.2196i | −1.98115 | + | 0.627934i | ||||
\(753\) | 47.7174 | + | 4.31946i | 1.73892 | + | 0.157410i | ||||
\(754\) | 27.3401 | + | 24.0860i | 0.995666 | + | 0.877159i | ||||
\(755\) | 12.4735 | − | 0.450618i | 0.453958 | − | 0.0163997i | ||||
\(756\) | −61.9974 | + | 3.36140i | −2.25482 | + | 0.122253i | ||||
\(757\) | −4.26225 | − | 23.3498i | −0.154914 | − | 0.848663i | −0.964980 | − | 0.262324i | \(-0.915511\pi\) |
0.810066 | − | 0.586339i | \(-0.199431\pi\) | |||||||
\(758\) | −0.730553 | + | 4.45617i | −0.0265349 | + | 0.161856i | ||||
\(759\) | 24.9316 | + | 26.3199i | 0.904959 | + | 0.955354i | ||||
\(760\) | −28.4617 | + | 32.3069i | −1.03241 | + | 1.17189i | ||||
\(761\) | 12.5730 | − | 4.49068i | 0.455770 | − | 0.162787i | −0.0984770 | − | 0.995139i | \(-0.531397\pi\) |
0.554247 | + | 0.832352i | \(0.313006\pi\) | |||||||
\(762\) | 6.98848 | + | 42.6278i | 0.253166 | + | 1.54424i | ||||
\(763\) | −12.9064 | + | 16.9781i | −0.467243 | + | 0.614647i | ||||
\(764\) | −39.2374 | + | 141.320i | −1.41956 | + | 5.11279i | ||||
\(765\) | 2.86767 | − | 7.19730i | 0.103681 | − | 0.260219i | ||||
\(766\) | −14.9985 | − | 62.7228i | −0.541919 | − | 2.26627i | ||||
\(767\) | 28.5361 | − | 42.0876i | 1.03038 | − | 1.51970i | ||||
\(768\) | −20.7199 | + | 163.068i | −0.747665 | + | 5.88420i | ||||
\(769\) | −0.261468 | + | 1.43240i | −0.00942879 | + | 0.0516535i | −0.988120 | − | 0.153683i | \(-0.950886\pi\) |
0.978691 | + | 0.205337i | \(0.0658290\pi\) | |||||||
\(770\) | 43.5084 | + | 15.5399i | 1.56793 | + | 0.560018i | ||||
\(771\) | 5.47054 | − | 3.02806i | 0.197017 | − | 0.109053i | ||||
\(772\) | 1.61820 | + | 44.7933i | 0.0582404 | + | 1.61215i | ||||
\(773\) | −4.75008 | + | 2.19762i | −0.170849 | + | 0.0790430i | −0.503449 | − | 0.864025i | \(-0.667936\pi\) |
0.332601 | + | 0.943068i | \(0.392074\pi\) | |||||||
\(774\) | 14.4230 | + | 10.1639i | 0.518424 | + | 0.365334i | ||||
\(775\) | −1.56382 | + | 6.53978i | −0.0561740 | + | 0.234916i | ||||
\(776\) | 9.82435 | + | 10.7538i | 0.352674 | + | 0.386040i | ||||
\(777\) | 1.61768 | + | 3.49656i | 0.0580339 | + | 0.125438i | ||||
\(778\) | 18.9225 | − | 17.9243i | 0.678403 | − | 0.642617i | ||||
\(779\) | 25.5262 | − | 22.4880i | 0.914569 | − | 0.805715i | ||||
\(780\) | −95.3215 | + | 69.7824i | −3.41306 | + | 2.49861i | ||||
\(781\) | 32.1016 | + | 13.4670i | 1.14869 | + | 0.481887i | ||||
\(782\) | 47.9727 | + | 15.2051i | 1.71550 | + | 0.543735i | ||||
\(783\) | −4.25333 | + | 4.65574i | −0.152002 | + | 0.166382i | ||||
\(784\) | 46.5504 | + | 68.6566i | 1.66251 | + | 2.45202i | ||||
\(785\) | 19.5816 | − | 9.93281i | 0.698896 | − | 0.354517i | ||||
\(786\) | 87.3718 | − | 66.4183i | 3.11645 | − | 2.36906i | ||||
\(787\) | −20.7100 | + | 10.0393i | −0.738230 | + | 0.357862i | −0.766934 | − | 0.641726i | \(-0.778219\pi\) |
0.0287034 | + | 0.999588i | \(0.490862\pi\) | |||||||
\(788\) | 15.0421 | + | 58.2358i | 0.535853 | + | 2.07456i | ||||
\(789\) | −0.739794 | − | 0.753273i | −0.0263373 | − | 0.0268172i | ||||
\(790\) | −41.5587 | + | 14.0028i | −1.47859 | + | 0.498196i | ||||
\(791\) | −2.26202 | + | 7.13674i | −0.0804280 | + | 0.253753i | ||||
\(792\) | −26.5778 | + | 42.4196i | −0.944400 | + | 1.50732i | ||||
\(793\) | −0.487596 | + | 27.0030i | −0.0173150 | + | 0.958905i | ||||
\(794\) | 56.0697 | + | 85.9995i | 1.98984 | + | 3.05201i | ||||
\(795\) | 0.289204 | + | 0.0367471i | 0.0102570 | + | 0.00130329i | ||||
\(796\) | −54.9440 | − | 15.2551i | −1.94744 | − | 0.540703i | ||||
\(797\) | 5.14042 | + | 35.3405i | 0.182083 | + | 1.25183i | 0.857537 | + | 0.514423i | \(0.171994\pi\) |
−0.675453 | + | 0.737403i | \(0.736052\pi\) | |||||||
\(798\) | −56.4711 | − | 12.4302i | −1.99906 | − | 0.440025i | ||||
\(799\) | −10.8591 | + | 4.32667i | −0.384168 | + | 0.153067i | ||||
\(800\) | −44.7526 | − | 58.8710i | −1.58224 | − | 2.08140i | ||||
\(801\) | 0.708151 | − | 0.747586i | 0.0250213 | − | 0.0264146i | ||||
\(802\) | 2.84635 | + | 31.4438i | 0.100508 | + | 1.11032i | ||||
\(803\) | 5.87010 | + | 19.7516i | 0.207151 | + | 0.697020i | ||||
\(804\) | 69.2198 | − | 87.7234i | 2.44119 | − | 3.09377i | ||||
\(805\) | 21.0704 | + | 16.6260i | 0.742635 | + | 0.585990i | ||||
\(806\) | −43.8468 | + | 3.17215i | −1.54444 | + | 0.111734i | ||||
\(807\) | −19.8455 | + | 27.1087i | −0.698596 | + | 0.954270i | ||||
\(808\) | −128.603 | − | 43.3313i | −4.52423 | − | 1.52439i | ||||
\(809\) | −2.59703 | − | 5.35739i | −0.0913066 | − | 0.188356i | 0.849252 | − | 0.527988i | \(-0.177054\pi\) |
−0.940558 | + | 0.339633i | \(0.889697\pi\) | |||||||
\(810\) | −26.6360 | − | 37.7975i | −0.935892 | − | 1.32807i | ||||
\(811\) | −10.5693 | + | 35.5633i | −0.371137 | + | 1.24880i | 0.541735 | + | 0.840549i | \(0.317768\pi\) |
−0.912872 | + | 0.408246i | \(0.866140\pi\) | |||||||
\(812\) | 38.2444 | + | 7.69705i | 1.34211 | + | 0.270113i | ||||
\(813\) | −23.8321 | − | 18.1167i | −0.835827 | − | 0.635379i | ||||
\(814\) | −4.66769 | − | 0.852037i | −0.163603 | − | 0.0298639i | ||||
\(815\) | −12.4521 | − | 5.49024i | −0.436178 | − | 0.192315i | ||||
\(816\) | −6.72453 | + | 124.027i | −0.235406 | + | 4.34180i | ||||
\(817\) | −7.61825 | − | 9.30425i | −0.266529 | − | 0.325515i | ||||
\(818\) | 14.8848 | − | 35.4812i | 0.520434 | − | 1.24057i | ||||
\(819\) | −31.2004 | − | 14.4349i | −1.09023 | − | 0.504395i | ||||
\(820\) | −50.3111 | − | 87.1414i | −1.75694 | − | 3.04311i | ||||
\(821\) | −14.5943 | + | 25.2781i | −0.509345 | + | 0.882212i | 0.490596 | + | 0.871387i | \(0.336779\pi\) |
−0.999941 | + | 0.0108249i | \(0.996554\pi\) | |||||||
\(822\) | 57.4258 | − | 40.4680i | 2.00295 | − | 1.41148i | ||||
\(823\) | −10.7565 | − | 26.9968i | −0.374948 | − | 0.941049i | −0.988476 | − | 0.151376i | \(-0.951630\pi\) |
0.613528 | − | 0.789673i | \(-0.289750\pi\) | |||||||
\(824\) | −34.5925 | + | 3.76216i | −1.20509 | + | 0.131061i | ||||
\(825\) | −4.16190 | − | 18.9077i | −0.144899 | − | 0.658281i | ||||
\(826\) | 5.31211 | − | 73.4261i | 0.184832 | − | 2.55482i | ||||
\(827\) | 7.17031 | + | 4.49251i | 0.249336 | + | 0.156220i | 0.649831 | − | 0.760079i | \(-0.274840\pi\) |
−0.400495 | + | 0.916299i | \(0.631162\pi\) | |||||||
\(828\) | −34.7345 | + | 28.4403i | −1.20711 | + | 0.988369i | ||||
\(829\) | −14.8938 | + | 12.6509i | −0.517283 | + | 0.439384i | −0.867612 | − | 0.497243i | \(-0.834346\pi\) |
0.350328 | + | 0.936627i | \(0.386070\pi\) | |||||||
\(830\) | −30.8662 | + | 55.7631i | −1.07138 | + | 1.93557i | ||||
\(831\) | −38.4010 | − | 6.29552i | −1.33211 | − | 0.218389i | ||||
\(832\) | 149.969 | − | 212.811i | 5.19922 | − | 7.37791i | ||||
\(833\) | 10.5389 | + | 13.3562i | 0.365152 | + | 0.462764i | ||||
\(834\) | − | 49.7957i | − | 1.72428i | ||||||
\(835\) | −8.52449 | + | 6.72641i | −0.295002 | + | 0.232777i | ||||
\(836\) | 38.8821 | − | 35.5214i | 1.34476 | − | 1.22853i | ||||
\(837\) | −0.411912 | − | 7.59727i | −0.0142378 | − | 0.262600i | ||||
\(838\) | −11.8497 | + | 31.3764i | −0.409340 | + | 1.08388i | ||||
\(839\) | 2.65214 | − | 18.2335i | 0.0915619 | − | 0.629491i | −0.892418 | − | 0.451210i | \(-0.850993\pi\) |
0.983980 | − | 0.178281i | \(-0.0570535\pi\) | |||||||
\(840\) | −44.6977 | + | 101.376i | −1.54222 | + | 3.49781i | ||||
\(841\) | −20.9738 | + | 13.6744i | −0.723234 | + | 0.471533i | ||||
\(842\) | 47.3055 | + | 30.8422i | 1.63026 | + | 1.06289i | ||||
\(843\) | −3.12642 | − | 7.09086i | −0.107680 | − | 0.244222i | ||||
\(844\) | 113.924 | − | 31.6309i | 3.92143 | − | 1.08878i | ||||
\(845\) | 44.9704 | − | 6.54113i | 1.54703 | − | 0.225022i | ||||
\(846\) | 2.78201 | − | 13.8230i | 0.0956474 | − | 0.475244i | ||||
\(847\) | 1.22092 | + | 0.591846i | 0.0419512 | + | 0.0203361i | ||||
\(848\) | −1.53264 | + | 0.308459i | −0.0526312 | + | 0.0105925i | ||||
\(849\) | −5.91265 | + | 65.3174i | −0.202921 | + | 2.24169i | ||||
\(850\) | −17.7653 | − | 20.1654i | −0.609343 | − | 0.691668i | ||||
\(851\) | −2.41170 | − | 1.33493i | −0.0826719 | − | 0.0457607i | ||||
\(852\) | −58.2991 | + | 114.931i | −1.99729 | + | 3.93747i | ||||
\(853\) | −30.4481 | − | 11.4991i | −1.04252 | − | 0.393721i | −0.227882 | − | 0.973689i | \(-0.573180\pi\) |
−0.814640 | + | 0.579968i | \(0.803065\pi\) | |||||||
\(854\) | 18.9356 | + | 34.2092i | 0.647962 | + | 1.17062i | ||||
\(855\) | −2.14233 | − | 5.99808i | −0.0732662 | − | 0.205130i | ||||
\(856\) | 13.8738 | + | 68.9348i | 0.474196 | + | 2.35614i | ||||
\(857\) | −7.82290 | + | 30.2865i | −0.267225 | + | 1.03457i | 0.684845 | + | 0.728689i | \(0.259870\pi\) |
−0.952070 | + | 0.305879i | \(0.901050\pi\) | |||||||
\(858\) | 109.617 | − | 63.2872i | 3.74225 | − | 2.16059i | ||||
\(859\) | 3.81805 | − | 3.74973i | 0.130270 | − | 0.127939i | −0.632633 | − | 0.774451i | \(-0.718026\pi\) |
0.762904 | + | 0.646512i | \(0.223773\pi\) | |||||||
\(860\) | −31.4253 | + | 16.6606i | −1.07159 | + | 0.568123i | ||||
\(861\) | 45.1310 | − | 75.0084i | 1.53806 | − | 2.55628i | ||||
\(862\) | −71.9420 | + | 30.1805i | −2.45035 | + | 1.02795i | ||||
\(863\) | −17.5974 | + | 1.59295i | −0.599022 | + | 0.0542245i | −0.385491 | − | 0.922712i | \(-0.625968\pi\) |
−0.213531 | + | 0.976936i | \(0.568497\pi\) | |||||||
\(864\) | 67.5164 | + | 49.4270i | 2.29695 | + | 1.68154i | ||||
\(865\) | 13.8195 | + | 22.9681i | 0.469876 | + | 0.780940i | ||||
\(866\) | −46.5753 | − | 28.0234i | −1.58269 | − | 0.952274i | ||||
\(867\) | −0.191702 | − | 10.6164i | −0.00651054 | − | 0.360553i | ||||
\(868\) | −38.9576 | + | 26.4139i | −1.32231 | + | 0.896547i | ||||
\(869\) | 33.9364 | − | 7.46997i | 1.15121 | − | 0.253401i | ||||
\(870\) | 6.13723 | + | 16.2506i | 0.208072 | + | 0.550947i | ||||
\(871\) | −56.0216 | + | 24.7004i | −1.89822 | + | 0.836941i | ||||
\(872\) | 61.2603 | − | 14.6488i | 2.07453 | − | 0.496071i | ||||
\(873\) | −2.09562 | + | 0.501114i | −0.0709260 | + | 0.0169601i | ||||
\(874\) | 37.8553 | − | 16.6907i | 1.28047 | − | 0.564572i | ||||
\(875\) | −14.1074 | − | 37.3547i | −0.476919 | − | 1.26282i | ||||
\(876\) | −74.4967 | + | 16.3980i | −2.51701 | + | 0.554035i | ||||
\(877\) | −33.2929 | + | 22.5731i | −1.12422 | + | 0.762241i | −0.974031 | − | 0.226416i | \(-0.927299\pi\) |
−0.150190 | + | 0.988657i | \(0.547989\pi\) | |||||||
\(878\) | 0.666079 | + | 36.8874i | 0.0224791 | + | 1.24489i | ||||
\(879\) | −5.00965 | − | 3.01421i | −0.168971 | − | 0.101667i | ||||
\(880\) | −42.0620 | − | 69.9076i | −1.41791 | − | 2.35659i | ||||
\(881\) | −5.78275 | − | 4.23340i | −0.194826 | − | 0.142627i | 0.488969 | − | 0.872301i | \(-0.337373\pi\) |
−0.683795 | + | 0.729674i | \(0.739672\pi\) | |||||||
\(882\) | −20.4387 | + | 1.85015i | −0.688207 | + | 0.0622977i | ||||
\(883\) | −47.4746 | + | 19.9161i | −1.59765 | + | 0.670232i | −0.992085 | − | 0.125567i | \(-0.959925\pi\) |
−0.605562 | + | 0.795798i | \(0.707051\pi\) | |||||||
\(884\) | 66.9898 | − | 111.338i | 2.25311 | − | 3.74470i | ||||
\(885\) | 21.4184 | − | 11.3553i | 0.719970 | − | 0.381704i | ||||
\(886\) | 35.1211 | − | 34.4927i | 1.17992 | − | 1.15880i | ||||
\(887\) | 4.18670 | − | 2.41719i | 0.140576 | − | 0.0811614i | −0.428063 | − | 0.903749i | \(-0.640804\pi\) |
0.568638 | + | 0.822588i | \(0.307470\pi\) | |||||||
\(888\) | 2.84564 | − | 11.0170i | 0.0954936 | − | 0.369705i | ||||
\(889\) | −4.99972 | − | 24.8422i | −0.167685 | − | 0.833180i | ||||
\(890\) | 0.944126 | + | 2.64336i | 0.0316472 | + | 0.0886055i | ||||
\(891\) | 17.7437 | + | 32.0559i | 0.594435 | + | 1.07391i | ||||
\(892\) | −28.8274 | − | 10.8870i | −0.965213 | − | 0.364524i | ||||
\(893\) | −4.34724 | + | 8.57016i | −0.145475 | + | 0.286790i | ||||
\(894\) | −23.0652 | − | 12.7671i | −0.771416 | − | 0.426996i | ||||
\(895\) | −12.7449 | − | 14.4668i | −0.426016 | − | 0.483572i | ||||
\(896\) | 17.5440 | − | 193.810i | 0.586104 | − | 6.47474i | ||||
\(897\) | 72.0879 | − | 14.5084i | 2.40695 | − | 0.484421i | ||||
\(898\) | −22.7734 | − | 11.0395i | −0.759957 | − | 0.368394i | ||||
\(899\) | −0.943210 | + | 4.68653i | −0.0314578 | + | 0.156305i | ||||
\(900\) | 23.7240 | − | 3.45076i | 0.790802 | − | 0.115025i | ||||
\(901\) | −0.308968 | + | 0.0857845i | −0.0102932 | + | 0.00285790i | ||||
\(902\) | 43.4948 | + | 98.6481i | 1.44822 | + | 3.28462i | ||||
\(903\) | −25.9212 | − | 16.9001i | −0.862604 | − | 0.562399i | ||||
\(904\) | 18.5224 | − | 12.0762i | 0.616046 | − | 0.401648i | ||||
\(905\) | −2.33419 | + | 5.29405i | −0.0775912 | + | 0.175980i | ||||
\(906\) | 7.12606 | − | 48.9918i | 0.236747 | − | 1.62764i | ||||
\(907\) | −2.81186 | + | 7.44545i | −0.0933664 | + | 0.247222i | −0.973989 | − | 0.226597i | \(-0.927240\pi\) |
0.880622 | + | 0.473819i | \(0.157125\pi\) | |||||||
\(908\) | −4.14069 | − | 76.3706i | −0.137414 | − | 2.53445i | ||||
\(909\) | 14.8212 | − | 13.5401i | 0.491587 | − | 0.449098i | ||||
\(910\) | 73.5645 | − | 58.0475i | 2.43864 | − | 1.92426i | ||||
\(911\) | − | 15.8341i | − | 0.524607i | −0.964985 | − | 0.262304i | \(-0.915518\pi\) | ||
0.964985 | − | 0.262304i | \(-0.0844822\pi\) | |||||||
\(912\) | 63.2524 | + | 80.1608i | 2.09450 | + | 2.65439i | ||||
\(913\) | 29.0912 | − | 41.2816i | 0.962779 | − | 1.36622i | ||||
\(914\) | −86.0565 | − | 14.1082i | −2.84650 | − | 0.466659i | ||||
\(915\) | −6.23546 | + | 11.2651i | −0.206138 | + | 0.372411i | ||||
\(916\) | −46.1484 | + | 39.1988i | −1.52479 | + | 1.29517i | ||||
\(917\) | −49.8143 | + | 40.7875i | −1.64501 | + | 1.34692i | ||||
\(918\) | 25.7688 | + | 16.1453i | 0.850497 | + | 0.532874i | ||||
\(919\) | −2.59911 | + | 35.9260i | −0.0857368 | + | 1.18509i | 0.759431 | + | 0.650588i | \(0.225477\pi\) |
−0.845168 | + | 0.534501i | \(0.820500\pi\) | |||||||
\(920\) | −17.0408 | − | 77.4173i | −0.561820 | − | 2.55237i | ||||
\(921\) | −5.70094 | + | 0.620014i | −0.187852 | + | 0.0204302i | ||||
\(922\) | 7.46793 | + | 18.7431i | 0.245943 | + | 0.617271i | ||||
\(923\) | 57.7177 | − | 40.6738i | 1.89980 | − | 1.33879i | ||||
\(924\) | 67.7595 | − | 117.363i | 2.22912 | − | 3.86096i | ||||
\(925\) | 0.736021 | + | 1.27483i | 0.0242002 | + | 0.0419160i | ||||
\(926\) | −56.3453 | − | 26.0681i | −1.85162 | − | 0.856651i | ||||
\(927\) | 1.99127 | − | 4.74664i | 0.0654019 | − | 0.155900i | ||||
\(928\) | −33.3069 | − | 40.6781i | −1.09335 | − | 1.33532i | ||||
\(929\) | 0.825465 | − | 15.2248i | 0.0270826 | − | 0.499510i | −0.953253 | − | 0.302173i | \(-0.902288\pi\) |
0.980336 | − | 0.197337i | \(-0.0632293\pi\) | |||||||
\(930\) | −19.1771 | − | 8.45534i | −0.628841 | − | 0.277261i | ||||
\(931\) | 13.7592 | + | 2.51160i | 0.450940 | + | 0.0823142i | ||||
\(932\) | −50.4250 | − | 38.3321i | −1.65173 | − | 1.25561i | ||||
\(933\) | −21.4229 | − | 4.31157i | −0.701355 | − | 0.141154i | ||||
\(934\) | −7.49686 | + | 25.2253i | −0.245305 | + | 0.825398i | ||||
\(935\) | −9.63927 | − | 13.6785i | −0.315238 | − | 0.447335i | ||||
\(936\) | 44.2893 | + | 91.3641i | 1.44764 | + | 2.98633i | ||||
\(937\) | −0.655484 | − | 0.220858i | −0.0214137 | − | 0.00721512i | 0.308574 | − | 0.951200i | \(-0.400148\pi\) |
−0.329988 | + | 0.943985i | \(0.607045\pi\) | |||||||
\(938\) | −52.3595 | + | 71.5221i | −1.70960 | + | 2.33528i | ||||
\(939\) | 42.5772 | − | 3.08031i | 1.38946 | − | 0.100522i | ||||
\(940\) | 22.3137 | + | 17.6071i | 0.727794 | + | 0.574280i | ||||
\(941\) | 21.5348 | − | 27.2914i | 0.702015 | − | 0.889675i | −0.295834 | − | 0.955239i | \(-0.595597\pi\) |
0.997848 | + | 0.0655643i | \(0.0208848\pi\) | |||||||
\(942\) | −24.8101 | − | 83.4807i | −0.808357 | − | 2.71995i | ||||
\(943\) | 5.64654 | + | 62.3778i | 0.183877 | + | 2.03130i | ||||
\(944\) | −89.4034 | + | 94.3820i | −2.90983 | + | 3.07187i | ||||
\(945\) | 9.81483 | + | 12.9112i | 0.319276 | + | 0.420001i | ||||
\(946\) | 35.4031 | − | 14.1059i | 1.15105 | − | 0.458622i | ||||
\(947\) | 29.2072 | + | 6.42899i | 0.949107 | + | 0.208914i | 0.662439 | − | 0.749116i | \(-0.269521\pi\) |
0.286668 | + | 0.958030i | \(0.407452\pi\) | |||||||
\(948\) | 18.5160 | + | 127.298i | 0.601372 | + | 4.13445i | ||||
\(949\) | 40.2708 | + | 11.1811i | 1.30725 | + | 0.362955i | ||||
\(950\) | −21.9172 | − | 2.78487i | −0.711088 | − | 0.0903530i | ||||
\(951\) | −21.7721 | − | 33.3939i | −0.706008 | − | 1.08287i | ||||
\(952\) | 2.20012 | − | 121.842i | 0.0713063 | − | 3.94893i | ||||
\(953\) | −24.1148 | + | 38.4885i | −0.781154 | + | 1.24677i | 0.183442 | + | 0.983031i | \(0.441276\pi\) |
−0.964595 | + | 0.263735i | \(0.915046\pi\) | |||||||
\(954\) | 0.116864 | − | 0.368711i | 0.00378362 | − | 0.0119375i | ||||
\(955\) | 36.3054 | − | 12.2327i | 1.17481 | − | 0.395841i | ||||
\(956\) | −83.0774 | − | 84.5910i | −2.68691 | − | 2.73587i | ||||
\(957\) | −3.44225 | − | 13.3268i | −0.111272 | − | 0.430793i | ||||
\(958\) | −49.2984 | + | 23.8977i | −1.59276 | + | 0.772099i | ||||
\(959\) | −32.8083 | + | 24.9402i | −1.05943 | + | 0.805361i | ||||
\(960\) | 110.691 | − | 56.1486i | 3.57255 | − | 1.81219i | ||||
\(961\) | 14.1600 | + | 20.8844i | 0.456774 | + | 0.673691i | ||||
\(962\) | −6.49116 | + | 7.10530i | −0.209284 | + | 0.229084i | ||||
\(963\) | −9.91576 | − | 3.14284i | −0.319531 | − | 0.101277i | ||||
\(964\) | −2.92970 | − | 1.22905i | −0.0943594 | − | 0.0395849i | ||||
\(965\) | 9.44717 | − | 6.91603i | 0.304115 | − | 0.222635i | ||||
\(966\) | 79.8812 | − | 70.3735i | 2.57014 | − | 2.26423i | ||||
\(967\) | −18.9639 | + | 17.9636i | −0.609838 | + | 0.577669i | −0.929022 | − | 0.370024i | \(-0.879350\pi\) |
0.319185 | + | 0.947693i | \(0.396591\pi\) | |||||||
\(968\) | −1.68260 | − | 3.63688i | −0.0540808 | − | 0.116894i | ||||
\(969\) | 14.1259 | + | 15.4624i | 0.453790 | + | 0.496724i | ||||
\(970\) | 1.36596 | − | 5.71233i | 0.0438582 | − | 0.183412i | ||||
\(971\) | 7.04846 | + | 4.96706i | 0.226196 | + | 0.159401i | 0.683596 | − | 0.729860i | \(-0.260415\pi\) |
−0.457401 | + | 0.889261i | \(0.651219\pi\) | |||||||
\(972\) | −74.1178 | + | 34.2905i | −2.37733 | + | 1.09987i | ||||
\(973\) | 1.05460 | + | 29.1923i | 0.0338089 | + | 0.935862i | ||||
\(974\) | −12.9258 | + | 7.15471i | −0.414169 | + | 0.229252i | ||||
\(975\) | −36.9806 | − | 13.2084i | −1.18433 | − | 0.423006i | ||||
\(976\) | 12.3991 | − | 67.9256i | 0.396885 | − | 2.17424i | ||||
\(977\) | 5.02741 | − | 39.5663i | 0.160841 | − | 1.26584i | −0.683468 | − | 0.729980i | \(-0.739529\pi\) |
0.844309 | − | 0.535856i | \(-0.180011\pi\) | |||||||
\(978\) | −30.2917 | + | 44.6768i | −0.968620 | + | 1.42861i | ||||
\(979\) | −0.517254 | − | 2.16312i | −0.0165315 | − | 0.0691335i | ||||
\(980\) | 15.3126 | − | 38.4316i | 0.489142 | − | 1.22765i | ||||
\(981\) | −2.49273 | + | 8.97801i | −0.0795868 | + | 0.286646i | ||||
\(982\) | −63.5795 | + | 83.6374i | −2.02890 | + | 2.66898i | ||||
\(983\) | −0.949829 | − | 5.79370i | −0.0302949 | − | 0.184790i | 0.967344 | − | 0.253467i | \(-0.0815708\pi\) |
−0.997639 | + | 0.0686761i | \(0.978122\pi\) | |||||||
\(984\) | −243.477 | + | 86.9627i | −7.76178 | + | 2.77227i | ||||
\(985\) | 10.3857 | − | 11.7888i | 0.330915 | − | 0.375623i | ||||
\(986\) | −13.1395 | − | 13.8712i | −0.418446 | − | 0.441748i | ||||
\(987\) | −4.00055 | + | 24.4023i | −0.127339 | + | 0.776733i | ||||
\(988\) | −19.1819 | − | 105.084i | −0.610259 | − | 3.34317i | ||||
\(989\) | 22.1074 | − | 1.19863i | 0.702974 | − | 0.0381142i | ||||
\(990\) | 20.1717 | − | 0.728723i | 0.641099 | − | 0.0231603i | ||||
\(991\) | −2.90372 | − | 2.55811i | −0.0922396 | − | 0.0812610i | 0.613671 | − | 0.789562i | \(-0.289692\pi\) |
−0.705911 | + | 0.708301i | \(0.749462\pi\) | |||||||
\(992\) | 63.1738 | + | 5.71860i | 2.00577 | + | 0.181566i | ||||
\(993\) | 30.5833 | − | 9.69349i | 0.970532 | − | 0.307614i | ||||
\(994\) | 42.9233 | − | 92.7773i | 1.36145 | − | 2.94272i | ||||
\(995\) | 4.75596 | + | 14.1152i | 0.150774 | + | 0.447481i | ||||
\(996\) | 144.653 | + | 118.440i | 4.58349 | + | 3.75293i | ||||
\(997\) | 13.0443 | − | 0.235542i | 0.413117 | − | 0.00745969i | 0.188894 | − | 0.981998i | \(-0.439510\pi\) |
0.224223 | + | 0.974538i | \(0.428016\pi\) | |||||||
\(998\) | 96.5244 | + | 3.48704i | 3.05543 | + | 0.110380i | ||||
\(999\) | −1.20924 | − | 1.14545i | −0.0382586 | − | 0.0362404i |
(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 | 349.2.k.a.3.1 | ✓ | 1624 | |
349.233 | even | 174 | inner | 349.2.k.a.233.1 | yes | 1624 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
349.2.k.a.3.1 | ✓ | 1624 | 1.1 | even | 1 | trivial | |
349.2.k.a.233.1 | yes | 1624 | 349.233 | even | 174 | inner |