Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [71,2,Mod(2,71)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(71, base_ring=CyclotomicField(70))
chi = DirichletCharacter(H, H._module([6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("71.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 71 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 71.g (of order \(35\), degree \(24\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.566937854351\) |
Analytic rank: | \(0\) |
Dimension: | \(120\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{35})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{35}]$ |
Embedding invariants
Embedding label | 15.4 | ||
Character | \(\chi\) | \(=\) | 71.15 |
Dual form | 71.2.g.a.19.4 |
$q$-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 \(\left(\mathbb{Z}/71\mathbb{Z}\right)^\times\).
\(n\) | \(7\) |
\(\chi(n)\) | \(e\left(\frac{27}{35}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.682008 | − | 1.59564i | 0.482252 | − | 1.12829i | −0.485010 | − | 0.874508i | \(-0.661184\pi\) |
0.967263 | − | 0.253777i | \(-0.0816729\pi\) | |||||||
\(3\) | −3.05466 | − | 0.554338i | −1.76361 | − | 0.320047i | −0.802588 | − | 0.596533i | \(-0.796544\pi\) |
−0.961018 | + | 0.276486i | \(0.910830\pi\) | |||||||
\(4\) | −0.698796 | − | 0.730883i | −0.349398 | − | 0.365442i | ||||
\(5\) | 0.984762 | − | 3.03079i | 0.440399 | − | 1.35541i | −0.447052 | − | 0.894508i | \(-0.647526\pi\) |
0.887451 | − | 0.460901i | \(-0.152474\pi\) | |||||||
\(6\) | −2.96782 | + | 4.49606i | −1.21161 | + | 1.83551i | ||||
\(7\) | −1.95579 | + | 1.70872i | −0.739219 | + | 0.645836i | −0.942852 | − | 0.333211i | \(-0.891868\pi\) |
0.203634 | + | 0.979047i | \(0.434725\pi\) | |||||||
\(8\) | 1.60645 | − | 0.602910i | 0.567965 | − | 0.213161i | ||||
\(9\) | 6.21492 | + | 2.33250i | 2.07164 | + | 0.777500i | ||||
\(10\) | −4.16442 | − | 3.63834i | −1.31690 | − | 1.15054i | ||||
\(11\) | 2.87663 | − | 0.793900i | 0.867337 | − | 0.239370i | 0.196074 | − | 0.980589i | \(-0.437181\pi\) |
0.671263 | + | 0.741219i | \(0.265752\pi\) | |||||||
\(12\) | 1.72942 | + | 2.61997i | 0.499242 | + | 0.756319i | ||||
\(13\) | 1.82114 | + | 0.502604i | 0.505094 | + | 0.139397i | 0.509292 | − | 0.860594i | \(-0.329907\pi\) |
−0.00419730 | + | 0.999991i | \(0.501336\pi\) | |||||||
\(14\) | 1.39263 | + | 4.28609i | 0.372197 | + | 1.14551i | ||||
\(15\) | −4.68819 | + | 8.71212i | −1.21049 | + | 2.24946i | ||||
\(16\) | 0.224319 | − | 4.99484i | 0.0560796 | − | 1.24871i | ||||
\(17\) | −4.31308 | + | 3.13364i | −1.04608 | + | 0.760019i | −0.971462 | − | 0.237193i | \(-0.923773\pi\) |
−0.0746142 | + | 0.997212i | \(0.523773\pi\) | |||||||
\(18\) | 7.96045 | − | 8.32598i | 1.87630 | − | 1.96245i | ||||
\(19\) | 0.616198 | + | 1.14509i | 0.141365 | + | 0.262701i | 0.941427 | − | 0.337217i | \(-0.109486\pi\) |
−0.800062 | + | 0.599918i | \(0.795200\pi\) | |||||||
\(20\) | −2.90330 | + | 1.39816i | −0.649197 | + | 0.312637i | ||||
\(21\) | 6.92147 | − | 4.13539i | 1.51039 | − | 0.902415i | ||||
\(22\) | 0.695110 | − | 5.13150i | 0.148198 | − | 1.09404i | ||||
\(23\) | 0.0673796 | − | 0.295209i | 0.0140496 | − | 0.0615554i | −0.967417 | − | 0.253188i | \(-0.918521\pi\) |
0.981467 | + | 0.191632i | \(0.0613781\pi\) | |||||||
\(24\) | −5.24136 | + | 0.951167i | −1.06989 | + | 0.194156i | ||||
\(25\) | −4.17083 | − | 3.03028i | −0.834165 | − | 0.606057i | ||||
\(26\) | 2.04401 | − | 2.56310i | 0.400863 | − | 0.502666i | ||||
\(27\) | −9.69617 | − | 5.79319i | −1.86603 | − | 1.11490i | ||||
\(28\) | 2.61557 | + | 0.235406i | 0.494297 | + | 0.0444875i | ||||
\(29\) | 0.418132 | + | 3.08678i | 0.0776453 | + | 0.573200i | 0.987423 | + | 0.158104i | \(0.0505380\pi\) |
−0.909777 | + | 0.415097i | \(0.863748\pi\) | |||||||
\(30\) | 10.7040 | + | 13.4224i | 1.95427 | + | 2.45058i | ||||
\(31\) | 0.0495160 | + | 1.10256i | 0.00889333 | + | 0.198025i | 0.998521 | + | 0.0543688i | \(0.0173146\pi\) |
−0.989628 | + | 0.143657i | \(0.954114\pi\) | |||||||
\(32\) | −4.72509 | − | 2.27548i | −0.835286 | − | 0.402252i | ||||
\(33\) | −9.22721 | + | 0.830464i | −1.60625 | + | 0.144565i | ||||
\(34\) | 2.05859 | + | 9.01928i | 0.353046 | + | 1.54679i | ||||
\(35\) | 3.25278 | + | 7.61026i | 0.549820 | + | 1.28637i | ||||
\(36\) | −2.63818 | − | 6.17233i | −0.439696 | − | 1.02872i | ||||
\(37\) | 0.852397 | + | 3.73460i | 0.140133 | + | 0.613964i | 0.995403 | + | 0.0957801i | \(0.0305346\pi\) |
−0.855269 | + | 0.518184i | \(0.826608\pi\) | |||||||
\(38\) | 2.24739 | − | 0.202269i | 0.364575 | − | 0.0328124i | ||||
\(39\) | −5.28435 | − | 2.54481i | −0.846174 | − | 0.407496i | ||||
\(40\) | −0.245322 | − | 5.46252i | −0.0387888 | − | 0.863701i | ||||
\(41\) | −1.29242 | − | 1.62064i | −0.201842 | − | 0.253102i | 0.670601 | − | 0.741819i | \(-0.266036\pi\) |
−0.872442 | + | 0.488717i | \(0.837465\pi\) | |||||||
\(42\) | −1.87808 | − | 13.8645i | −0.289793 | − | 2.13934i | ||||
\(43\) | −4.77783 | − | 0.430012i | −0.728612 | − | 0.0655763i | −0.280879 | − | 0.959743i | \(-0.590626\pi\) |
−0.447734 | + | 0.894167i | \(0.647769\pi\) | |||||||
\(44\) | −2.59043 | − | 1.54771i | −0.390522 | − | 0.233326i | ||||
\(45\) | 13.1895 | − | 16.5392i | 1.96618 | − | 2.46551i | ||||
\(46\) | −0.425093 | − | 0.308848i | −0.0626766 | − | 0.0455372i | ||||
\(47\) | 8.29461 | − | 1.50525i | 1.20989 | − | 0.219563i | 0.464126 | − | 0.885769i | \(-0.346369\pi\) |
0.745768 | + | 0.666206i | \(0.232083\pi\) | |||||||
\(48\) | −3.45405 | + | 15.1332i | −0.498549 | + | 2.18428i | ||||
\(49\) | −0.0342515 | + | 0.252855i | −0.00489308 | + | 0.0361221i | ||||
\(50\) | −7.67977 | + | 4.58845i | −1.08608 | + | 0.648904i | ||||
\(51\) | 14.9121 | − | 7.18128i | 2.08811 | − | 1.00558i | ||||
\(52\) | −0.905263 | − | 1.68226i | −0.125537 | − | 0.233288i | ||||
\(53\) | 0.272330 | − | 0.284835i | 0.0374075 | − | 0.0391251i | −0.703826 | − | 0.710372i | \(-0.748527\pi\) |
0.741234 | + | 0.671247i | \(0.234241\pi\) | |||||||
\(54\) | −15.8567 | + | 11.5206i | −2.15782 | + | 1.56775i | ||||
\(55\) | 0.426657 | − | 9.50026i | 0.0575304 | − | 1.28101i | ||||
\(56\) | −2.11167 | + | 3.92414i | −0.282183 | + | 0.524385i | ||||
\(57\) | −1.24751 | − | 3.83943i | −0.165236 | − | 0.508545i | ||||
\(58\) | 5.21055 | + | 1.43802i | 0.684178 | + | 0.188821i | ||||
\(59\) | 6.26431 | + | 9.49003i | 0.815544 | + | 1.23550i | 0.968931 | + | 0.247330i | \(0.0795532\pi\) |
−0.153387 | + | 0.988166i | \(0.549018\pi\) | |||||||
\(60\) | 9.64363 | − | 2.66147i | 1.24499 | − | 0.343595i | ||||
\(61\) | −5.47002 | − | 4.77901i | −0.700364 | − | 0.611890i | 0.232296 | − | 0.972645i | \(-0.425376\pi\) |
−0.932661 | + | 0.360755i | \(0.882519\pi\) | |||||||
\(62\) | 1.79305 | + | 0.672944i | 0.227718 | + | 0.0854640i | ||||
\(63\) | −16.1407 | + | 6.05769i | −2.03353 | + | 0.763198i | ||||
\(64\) | 0.677134 | − | 0.591594i | 0.0846417 | − | 0.0739492i | ||||
\(65\) | 3.31668 | − | 5.02455i | 0.411383 | − | 0.623219i | ||||
\(66\) | −4.96791 | + | 15.2897i | −0.611507 | + | 1.88203i | ||||
\(67\) | 7.33409 | + | 7.67085i | 0.896001 | + | 0.937144i | 0.998339 | − | 0.0576060i | \(-0.0183467\pi\) |
−0.102338 | + | 0.994750i | \(0.532632\pi\) | |||||||
\(68\) | 5.30429 | + | 0.962587i | 0.643240 | + | 0.116731i | ||||
\(69\) | −0.369467 | + | 0.864412i | −0.0444786 | + | 0.104063i | ||||
\(70\) | 14.3616 | 1.71654 | ||||||||
\(71\) | −3.28980 | − | 7.75740i | −0.390427 | − | 0.920634i | ||||
\(72\) | 11.3902 | 1.34235 | ||||||||
\(73\) | 2.65610 | − | 6.21425i | 0.310873 | − | 0.727323i | −0.689124 | − | 0.724644i | \(-0.742004\pi\) |
0.999996 | − | 0.00267905i | \(-0.000852769\pi\) | |||||||
\(74\) | 6.54040 | + | 1.18691i | 0.760306 | + | 0.137975i | ||||
\(75\) | 11.0606 | + | 11.5685i | 1.27717 | + | 1.33582i | ||||
\(76\) | 0.406329 | − | 1.25055i | 0.0466091 | − | 0.143448i | ||||
\(77\) | −4.26953 | + | 6.46806i | −0.486558 | + | 0.737104i | ||||
\(78\) | −7.66456 | + | 6.69633i | −0.867841 | + | 0.758210i | ||||
\(79\) | −16.0435 | + | 6.02123i | −1.80504 | + | 0.677441i | −0.809069 | + | 0.587713i | \(0.800028\pi\) |
−0.995966 | + | 0.0897278i | \(0.971400\pi\) | |||||||
\(80\) | −14.9174 | − | 5.59859i | −1.66782 | − | 0.625942i | ||||
\(81\) | 11.4099 | + | 9.96857i | 1.26777 | + | 1.10762i | ||||
\(82\) | −3.46739 | + | 0.956940i | −0.382910 | + | 0.105676i | ||||
\(83\) | −7.68728 | − | 11.6457i | −0.843789 | − | 1.27829i | −0.958559 | − | 0.284893i | \(-0.908042\pi\) |
0.114771 | − | 0.993392i | \(-0.463387\pi\) | |||||||
\(84\) | −7.85918 | − | 2.16900i | −0.857507 | − | 0.236657i | ||||
\(85\) | 5.25003 | + | 16.1579i | 0.569446 | + | 1.75257i | ||||
\(86\) | −3.94466 | + | 7.33041i | −0.425364 | + | 0.790458i | ||||
\(87\) | 0.433868 | − | 9.66083i | 0.0465156 | − | 1.03575i | ||||
\(88\) | 4.14251 | − | 3.00971i | 0.441593 | − | 0.320836i | ||||
\(89\) | −6.19684 | + | 6.48139i | −0.656864 | + | 0.687026i | −0.964381 | − | 0.264517i | \(-0.914788\pi\) |
0.307517 | + | 0.951543i | \(0.400502\pi\) | |||||||
\(90\) | −17.3951 | − | 32.3255i | −1.83361 | − | 3.40741i | ||||
\(91\) | −4.42058 | + | 2.12884i | −0.463403 | + | 0.223163i | ||||
\(92\) | −0.262848 | + | 0.157044i | −0.0274038 | + | 0.0163730i | ||||
\(93\) | 0.459936 | − | 3.39538i | 0.0476932 | − | 0.352085i | ||||
\(94\) | 3.25516 | − | 14.2618i | 0.335744 | − | 1.47099i | ||||
\(95\) | 4.07732 | − | 0.739925i | 0.418324 | − | 0.0759147i | ||||
\(96\) | 13.1721 | + | 9.57012i | 1.34438 | + | 0.976746i | ||||
\(97\) | −2.79848 | + | 3.50918i | −0.284142 | + | 0.356303i | −0.903335 | − | 0.428936i | \(-0.858889\pi\) |
0.619193 | + | 0.785239i | \(0.287460\pi\) | |||||||
\(98\) | 0.380105 | + | 0.227102i | 0.0383964 | + | 0.0229408i | ||||
\(99\) | 19.7298 | + | 1.77572i | 1.98292 | + | 0.178466i | ||||
\(100\) | 0.699774 | + | 5.16594i | 0.0699774 | + | 0.516594i | ||||
\(101\) | 1.77909 | + | 2.23091i | 0.177026 | + | 0.221984i | 0.862426 | − | 0.506183i | \(-0.168944\pi\) |
−0.685400 | + | 0.728167i | \(0.740373\pi\) | |||||||
\(102\) | −1.28856 | − | 28.6920i | −0.127586 | − | 2.84093i | ||||
\(103\) | 0.439739 | + | 0.211767i | 0.0433287 | + | 0.0208660i | 0.455423 | − | 0.890275i | \(-0.349488\pi\) |
−0.412094 | + | 0.911141i | \(0.635202\pi\) | |||||||
\(104\) | 3.22860 | − | 0.290579i | 0.316590 | − | 0.0284936i | ||||
\(105\) | −5.71747 | − | 25.0499i | −0.557968 | − | 2.44462i | ||||
\(106\) | −0.268762 | − | 0.628800i | −0.0261045 | − | 0.0610745i | ||||
\(107\) | −6.84660 | − | 16.0184i | −0.661885 | − | 1.54856i | −0.826950 | − | 0.562275i | \(-0.809926\pi\) |
0.165065 | − | 0.986283i | \(-0.447217\pi\) | |||||||
\(108\) | 2.54150 | + | 11.1350i | 0.244556 | + | 1.07147i | ||||
\(109\) | −10.4692 | + | 0.942248i | −1.00277 | + | 0.0902510i | −0.578838 | − | 0.815443i | \(-0.696494\pi\) |
−0.423933 | + | 0.905694i | \(0.639351\pi\) | |||||||
\(110\) | −14.8680 | − | 7.16004i | −1.41761 | − | 0.682683i | ||||
\(111\) | −0.533550 | − | 11.8804i | −0.0506424 | − | 1.12764i | ||||
\(112\) | 8.09607 | + | 10.1521i | 0.765007 | + | 0.959288i | ||||
\(113\) | 2.76895 | + | 20.4412i | 0.260481 | + | 1.92295i | 0.370132 | + | 0.928979i | \(0.379313\pi\) |
−0.109651 | + | 0.993970i | \(0.534973\pi\) | |||||||
\(114\) | −6.97714 | − | 0.627954i | −0.653469 | − | 0.0588133i | ||||
\(115\) | −0.828364 | − | 0.494924i | −0.0772453 | − | 0.0461519i | ||||
\(116\) | 1.96389 | − | 2.46263i | 0.182342 | − | 0.228650i | ||||
\(117\) | 10.1459 | + | 7.37146i | 0.937993 | + | 0.681492i | ||||
\(118\) | 19.4149 | − | 3.52329i | 1.78729 | − | 0.324345i | ||||
\(119\) | 3.08097 | − | 13.4986i | 0.282432 | − | 1.23741i | ||||
\(120\) | −2.27871 | + | 16.8221i | −0.208017 | + | 1.53564i | ||||
\(121\) | −1.79820 | + | 1.07438i | −0.163473 | + | 0.0976706i | ||||
\(122\) | −11.3562 | + | 5.46884i | −1.02814 | + | 0.495125i | ||||
\(123\) | 3.04951 | + | 5.66694i | 0.274965 | + | 0.510971i | ||||
\(124\) | 0.771240 | − | 0.806654i | 0.0692594 | − | 0.0724396i | ||||
\(125\) | −0.400707 | + | 0.291131i | −0.0358403 | + | 0.0260395i | ||||
\(126\) | −1.34218 | + | 29.8860i | −0.119571 | + | 2.66246i | ||||
\(127\) | −2.57161 | + | 4.77886i | −0.228194 | + | 0.424055i | −0.968786 | − | 0.247900i | \(-0.920260\pi\) |
0.740592 | + | 0.671955i | \(0.234545\pi\) | |||||||
\(128\) | −3.72341 | − | 11.4595i | −0.329106 | − | 1.01288i | ||||
\(129\) | 14.3562 | + | 3.96207i | 1.26400 | + | 0.348841i | ||||
\(130\) | −5.75536 | − | 8.71900i | −0.504778 | − | 0.764707i | ||||
\(131\) | 1.40273 | − | 0.387129i | 0.122557 | − | 0.0338236i | −0.204220 | − | 0.978925i | \(-0.565466\pi\) |
0.326777 | + | 0.945101i | \(0.394037\pi\) | |||||||
\(132\) | 7.05491 | + | 6.16369i | 0.614051 | + | 0.536480i | ||||
\(133\) | −3.16179 | − | 1.18664i | −0.274162 | − | 0.102895i | ||||
\(134\) | 17.2418 | − | 6.47095i | 1.48946 | − | 0.559005i | ||||
\(135\) | −27.1064 | + | 23.6821i | −2.33294 | + | 2.03823i | ||||
\(136\) | −5.03944 | + | 7.63443i | −0.432129 | + | 0.654647i | ||||
\(137\) | −0.276187 | + | 0.850016i | −0.0235962 | + | 0.0726217i | −0.962161 | − | 0.272481i | \(-0.912156\pi\) |
0.938565 | + | 0.345103i | \(0.112156\pi\) | |||||||
\(138\) | 1.12731 | + | 1.17907i | 0.0959628 | + | 0.100369i | ||||
\(139\) | −10.4043 | − | 1.88809i | −0.882477 | − | 0.160146i | −0.281643 | − | 0.959519i | \(-0.590879\pi\) |
−0.600835 | + | 0.799373i | \(0.705165\pi\) | |||||||
\(140\) | 3.28918 | − | 7.69542i | 0.277987 | − | 0.650382i | ||||
\(141\) | −26.1716 | −2.20405 | ||||||||
\(142\) | −14.6217 | − | 0.0412797i | −1.22702 | − | 0.00346411i | ||||
\(143\) | 5.63778 | 0.471455 | ||||||||
\(144\) | 13.0446 | − | 30.5193i | 1.08705 | − | 2.54328i | ||||
\(145\) | 9.76713 | + | 1.77247i | 0.811116 | + | 0.147196i | ||||
\(146\) | −8.10420 | − | 8.47633i | −0.670709 | − | 0.701506i | ||||
\(147\) | 0.244794 | − | 0.753398i | 0.0201903 | − | 0.0621392i | ||||
\(148\) | 2.13390 | − | 3.23272i | 0.175406 | − | 0.265728i | ||||
\(149\) | 16.3489 | − | 14.2836i | 1.33936 | − | 1.17016i | 0.368737 | − | 0.929534i | \(-0.379790\pi\) |
0.970618 | − | 0.240626i | \(-0.0773527\pi\) | |||||||
\(150\) | 26.0026 | − | 9.75893i | 2.12310 | − | 0.796814i | ||||
\(151\) | 8.43652 | + | 3.16628i | 0.686555 | + | 0.257668i | 0.670181 | − | 0.742198i | \(-0.266216\pi\) |
0.0163735 | + | 0.999866i | \(0.494788\pi\) | |||||||
\(152\) | 1.68027 | + | 1.46801i | 0.136288 | + | 0.119071i | ||||
\(153\) | −34.1147 | + | 9.41506i | −2.75801 | + | 0.761163i | ||||
\(154\) | 7.40882 | + | 11.2239i | 0.597020 | + | 0.904446i | ||||
\(155\) | 3.39038 | + | 0.935686i | 0.272322 | + | 0.0751561i | ||||
\(156\) | 1.83273 | + | 5.64055i | 0.146735 | + | 0.451605i | ||||
\(157\) | −0.409058 | + | 0.760157i | −0.0326464 | + | 0.0606671i | −0.896396 | − | 0.443254i | \(-0.853824\pi\) |
0.863750 | + | 0.503921i | \(0.168110\pi\) | |||||||
\(158\) | −1.33410 | + | 29.7061i | −0.106136 | + | 2.36329i | ||||
\(159\) | −0.989771 | + | 0.719111i | −0.0784939 | + | 0.0570292i | ||||
\(160\) | −11.5496 | + | 12.0799i | −0.913076 | + | 0.955002i | ||||
\(161\) | 0.372650 | + | 0.692500i | 0.0293689 | + | 0.0545766i | ||||
\(162\) | 23.6879 | − | 11.4075i | 1.86110 | − | 0.896256i | ||||
\(163\) | 4.11173 | − | 2.45665i | 0.322056 | − | 0.192419i | −0.342767 | − | 0.939420i | \(-0.611364\pi\) |
0.664823 | + | 0.747001i | \(0.268507\pi\) | |||||||
\(164\) | −0.281363 | + | 2.07710i | −0.0219708 | + | 0.162195i | ||||
\(165\) | −6.56965 | + | 28.7835i | −0.511446 | + | 2.24079i | ||||
\(166\) | −23.8251 | + | 4.32362i | −1.84919 | + | 0.335578i | ||||
\(167\) | 9.53134 | + | 6.92493i | 0.737557 | + | 0.535867i | 0.891945 | − | 0.452143i | \(-0.149340\pi\) |
−0.154388 | + | 0.988010i | \(0.549340\pi\) | |||||||
\(168\) | 8.62571 | − | 10.8163i | 0.665488 | − | 0.834496i | ||||
\(169\) | −8.09588 | − | 4.83706i | −0.622760 | − | 0.372082i | ||||
\(170\) | 29.3627 | + | 2.64269i | 2.25202 | + | 0.202685i | ||||
\(171\) | 1.15871 | + | 8.55391i | 0.0886084 | + | 0.654134i | ||||
\(172\) | 3.02444 | + | 3.79253i | 0.230611 | + | 0.289177i | ||||
\(173\) | −0.736632 | − | 16.4024i | −0.0560051 | − | 1.24705i | −0.808518 | − | 0.588472i | \(-0.799730\pi\) |
0.752513 | − | 0.658578i | \(-0.228842\pi\) | |||||||
\(174\) | −15.1193 | − | 7.28106i | −1.14619 | − | 0.551976i | ||||
\(175\) | 13.3352 | − | 1.20019i | 1.00804 | − | 0.0907256i | ||||
\(176\) | −3.32012 | − | 14.5464i | −0.250264 | − | 1.09648i | ||||
\(177\) | −13.8746 | − | 32.4613i | −1.04288 | − | 2.43994i | ||||
\(178\) | 6.11565 | + | 14.3083i | 0.458387 | + | 1.07245i | ||||
\(179\) | −2.41342 | − | 10.5739i | −0.180387 | − | 0.790328i | −0.981445 | − | 0.191742i | \(-0.938586\pi\) |
0.801058 | − | 0.598587i | \(-0.204271\pi\) | |||||||
\(180\) | −21.3050 | + | 1.91748i | −1.58798 | + | 0.142921i | ||||
\(181\) | 19.5171 | + | 9.39895i | 1.45070 | + | 0.698618i | 0.982716 | − | 0.185121i | \(-0.0592676\pi\) |
0.467980 | + | 0.883739i | \(0.344982\pi\) | |||||||
\(182\) | 0.381984 | + | 8.50552i | 0.0283145 | + | 0.630471i | ||||
\(183\) | 14.0598 | + | 17.6305i | 1.03933 | + | 1.30328i | ||||
\(184\) | −0.0697428 | − | 0.514862i | −0.00514151 | − | 0.0379561i | ||||
\(185\) | 12.1582 | + | 1.09426i | 0.893887 | + | 0.0804513i | ||||
\(186\) | −5.10412 | − | 3.04957i | −0.374252 | − | 0.223605i | ||||
\(187\) | −9.91936 | + | 12.4385i | −0.725375 | + | 0.909592i | ||||
\(188\) | −6.89640 | − | 5.01053i | −0.502972 | − | 0.365430i | ||||
\(189\) | 28.8626 | − | 5.23779i | 2.09945 | − | 0.380993i | ||||
\(190\) | 1.60011 | − | 7.01056i | 0.116084 | − | 0.508599i | ||||
\(191\) | 2.00601 | − | 14.8090i | 0.145150 | − | 1.07154i | −0.761051 | − | 0.648692i | \(-0.775316\pi\) |
0.906201 | − | 0.422848i | \(-0.138970\pi\) | |||||||
\(192\) | −2.39635 | + | 1.43175i | −0.172942 | + | 0.103328i | ||||
\(193\) | 13.0207 | − | 6.27043i | 0.937250 | − | 0.451356i | 0.0980516 | − | 0.995181i | \(-0.468739\pi\) |
0.839198 | + | 0.543826i | \(0.183025\pi\) | |||||||
\(194\) | 3.69079 | + | 6.85864i | 0.264983 | + | 0.492422i | ||||
\(195\) | −12.9166 | + | 13.5097i | −0.924978 | + | 0.967451i | ||||
\(196\) | 0.208742 | − | 0.151660i | 0.0149102 | − | 0.0108329i | ||||
\(197\) | 0.102441 | − | 2.28102i | 0.00729860 | − | 0.162516i | −0.992034 | − | 0.125974i | \(-0.959794\pi\) |
0.999332 | − | 0.0365418i | \(-0.0116342\pi\) | |||||||
\(198\) | 16.2893 | − | 30.2706i | 1.15763 | − | 2.15124i | ||||
\(199\) | 0.0399363 | + | 0.122911i | 0.00283101 | + | 0.00871296i | 0.952462 | − | 0.304657i | \(-0.0985419\pi\) |
−0.949631 | + | 0.313370i | \(0.898542\pi\) | |||||||
\(200\) | −8.52720 | − | 2.35336i | −0.602964 | − | 0.166408i | ||||
\(201\) | −18.1509 | − | 27.4974i | −1.28026 | − | 1.93952i | ||||
\(202\) | 4.77308 | − | 1.31729i | 0.335833 | − | 0.0926839i | ||||
\(203\) | −6.09222 | − | 5.32261i | −0.427590 | − | 0.373574i | ||||
\(204\) | −15.6692 | − | 5.88074i | −1.09706 | − | 0.411734i | ||||
\(205\) | −6.18454 | + | 2.32110i | −0.431947 | + | 0.162112i | ||||
\(206\) | 0.637808 | − | 0.557236i | 0.0444382 | − | 0.0388245i | ||||
\(207\) | 1.10733 | − | 1.67754i | 0.0769651 | − | 0.116597i | ||||
\(208\) | 2.91894 | − | 8.98358i | 0.202392 | − | 0.622899i | ||||
\(209\) | 2.68166 | + | 2.80479i | 0.185494 | + | 0.194012i | ||||
\(210\) | −43.8698 | − | 7.96120i | −3.02731 | − | 0.549375i | ||||
\(211\) | 2.85481 | − | 6.67915i | 0.196533 | − | 0.459812i | −0.792056 | − | 0.610448i | \(-0.790989\pi\) |
0.988589 | + | 0.150636i | \(0.0481322\pi\) | |||||||
\(212\) | −0.398485 | −0.0273680 | ||||||||
\(213\) | 5.74898 | + | 25.5198i | 0.393914 | + | 1.74859i | ||||
\(214\) | −30.2290 | −2.06641 | ||||||||
\(215\) | −6.00830 | + | 14.0571i | −0.409763 | + | 0.958688i | ||||
\(216\) | −19.0692 | − | 3.46054i | −1.29749 | − | 0.235460i | ||||
\(217\) | −1.98081 | − | 2.07176i | −0.134466 | − | 0.140640i | ||||
\(218\) | −5.63661 | + | 17.3477i | −0.381760 | + | 1.17494i | ||||
\(219\) | −11.5583 | + | 17.5100i | −0.781035 | + | 1.18322i | ||||
\(220\) | −7.24173 | + | 6.32691i | −0.488237 | + | 0.426560i | ||||
\(221\) | −9.42972 | + | 3.53903i | −0.634312 | + | 0.238061i | ||||
\(222\) | −19.3207 | − | 7.25119i | −1.29672 | − | 0.486668i | ||||
\(223\) | 16.5665 | + | 14.4737i | 1.10938 | + | 0.969234i | 0.999694 | − | 0.0247326i | \(-0.00787344\pi\) |
0.109683 | + | 0.993967i | \(0.465016\pi\) | |||||||
\(224\) | 13.1294 | − | 3.62350i | 0.877248 | − | 0.242105i | ||||
\(225\) | −18.8532 | − | 28.5614i | −1.25688 | − | 1.90410i | ||||
\(226\) | 34.5052 | + | 9.52284i | 2.29525 | + | 0.633450i | ||||
\(227\) | 3.53209 | + | 10.8706i | 0.234433 | + | 0.721510i | 0.997196 | + | 0.0748322i | \(0.0238421\pi\) |
−0.762763 | + | 0.646678i | \(0.776158\pi\) | |||||||
\(228\) | −1.93442 | + | 3.59476i | −0.128110 | + | 0.238069i | ||||
\(229\) | −0.766335 | + | 17.0638i | −0.0506408 | + | 1.12761i | 0.799369 | + | 0.600840i | \(0.205167\pi\) |
−0.850010 | + | 0.526766i | \(0.823404\pi\) | |||||||
\(230\) | −1.35467 | + | 0.984225i | −0.0893243 | + | 0.0648979i | ||||
\(231\) | 16.6274 | − | 17.3909i | 1.09400 | − | 1.14424i | ||||
\(232\) | 2.53276 | + | 4.70665i | 0.166284 | + | 0.309007i | ||||
\(233\) | −6.78032 | + | 3.26523i | −0.444194 | + | 0.213912i | −0.642591 | − | 0.766209i | \(-0.722141\pi\) |
0.198398 | + | 0.980122i | \(0.436426\pi\) | |||||||
\(234\) | 18.6818 | − | 11.1618i | 1.22127 | − | 0.729673i | ||||
\(235\) | 3.60613 | − | 26.6215i | 0.235238 | − | 1.73660i | ||||
\(236\) | 2.55863 | − | 11.2101i | 0.166552 | − | 0.729714i | ||||
\(237\) | 52.3452 | − | 9.49925i | 3.40018 | − | 0.617043i | ||||
\(238\) | −19.4376 | − | 14.1222i | −1.25995 | − | 0.915409i | ||||
\(239\) | −14.5780 | + | 18.2803i | −0.942975 | + | 1.18245i | 0.0400898 | + | 0.999196i | \(0.487236\pi\) |
−0.983065 | + | 0.183257i | \(0.941336\pi\) | |||||||
\(240\) | 42.4640 | + | 25.3711i | 2.74104 | + | 1.63769i | ||||
\(241\) | −21.8000 | − | 1.96204i | −1.40426 | − | 0.126386i | −0.638556 | − | 0.769575i | \(-0.720468\pi\) |
−0.765707 | + | 0.643189i | \(0.777611\pi\) | |||||||
\(242\) | 0.487926 | + | 3.60201i | 0.0313650 | + | 0.231546i | ||||
\(243\) | −8.20054 | − | 10.2832i | −0.526065 | − | 0.659665i | ||||
\(244\) | 0.329528 | + | 7.33750i | 0.0210958 | + | 0.469735i | ||||
\(245\) | 0.732620 | + | 0.352811i | 0.0468054 | + | 0.0225403i | ||||
\(246\) | 11.1222 | − | 1.00101i | 0.709123 | − | 0.0638222i | ||||
\(247\) | 0.546659 | + | 2.39507i | 0.0347831 | + | 0.152395i | ||||
\(248\) | 0.744288 | + | 1.74135i | 0.0472624 | + | 0.110576i | ||||
\(249\) | 17.0263 | + | 39.8350i | 1.07900 | + | 2.52444i | ||||
\(250\) | 0.191254 | + | 0.837937i | 0.0120959 | + | 0.0529958i | ||||
\(251\) | 9.23919 | − | 0.831543i | 0.583173 | − | 0.0524865i | 0.205875 | − | 0.978578i | \(-0.433996\pi\) |
0.377298 | + | 0.926092i | \(0.376853\pi\) | |||||||
\(252\) | 15.7065 | + | 7.56385i | 0.989417 | + | 0.476478i | ||||
\(253\) | −0.0405404 | − | 0.902701i | −0.00254875 | − | 0.0567523i | ||||
\(254\) | 5.87146 | + | 7.36258i | 0.368408 | + | 0.461969i | ||||
\(255\) | −7.08007 | − | 52.2672i | −0.443371 | − | 3.27310i | ||||
\(256\) | −19.0335 | − | 1.71304i | −1.18959 | − | 0.107065i | ||||
\(257\) | −18.6898 | − | 11.1666i | −1.16584 | − | 0.696556i | −0.206398 | − | 0.978468i | \(-0.566174\pi\) |
−0.959440 | + | 0.281913i | \(0.909031\pi\) | |||||||
\(258\) | 16.1131 | − | 20.2052i | 1.00316 | − | 1.25792i | ||||
\(259\) | −8.04849 | − | 5.84757i | −0.500109 | − | 0.363350i | ||||
\(260\) | −5.99004 | + | 1.08703i | −0.371487 | + | 0.0674149i | ||||
\(261\) | −4.60125 | + | 20.1594i | −0.284810 | + | 1.24783i | ||||
\(262\) | 0.338956 | − | 2.50227i | 0.0209408 | − | 0.154591i | ||||
\(263\) | 3.33901 | − | 1.99496i | 0.205892 | − | 0.123015i | −0.406252 | − | 0.913761i | \(-0.633164\pi\) |
0.612144 | + | 0.790746i | \(0.290307\pi\) | |||||||
\(264\) | −14.3223 | + | 6.89727i | −0.881479 | + | 0.424498i | ||||
\(265\) | −0.595094 | − | 1.10587i | −0.0365564 | − | 0.0679331i | ||||
\(266\) | −4.04981 | + | 4.23576i | −0.248310 | + | 0.259711i | ||||
\(267\) | 22.5221 | − | 16.3633i | 1.37833 | − | 1.00142i | ||||
\(268\) | 0.481468 | − | 10.7207i | 0.0294103 | − | 0.654872i | ||||
\(269\) | 4.45577 | − | 8.28020i | 0.271673 | − | 0.504853i | −0.707804 | − | 0.706409i | \(-0.750314\pi\) |
0.979477 | + | 0.201556i | \(0.0645998\pi\) | |||||||
\(270\) | 19.3013 | + | 59.4033i | 1.17464 | + | 3.61517i | ||||
\(271\) | −2.11331 | − | 0.583237i | −0.128375 | − | 0.0354291i | 0.201259 | − | 0.979538i | \(-0.435497\pi\) |
−0.329634 | + | 0.944109i | \(0.606925\pi\) | |||||||
\(272\) | 14.6845 | + | 22.2461i | 0.890380 | + | 1.34887i | ||||
\(273\) | 14.6834 | − | 4.05237i | 0.888683 | − | 0.245261i | ||||
\(274\) | 1.16795 | + | 1.02041i | 0.0705587 | + | 0.0616453i | ||||
\(275\) | −14.4037 | − | 5.40579i | −0.868574 | − | 0.325981i | ||||
\(276\) | 0.889966 | − | 0.334010i | 0.0535697 | − | 0.0201050i | ||||
\(277\) | 10.6742 | − | 9.32574i | 0.641348 | − | 0.560329i | −0.274633 | − | 0.961549i | \(-0.588557\pi\) |
0.915982 | + | 0.401220i | \(0.131414\pi\) | |||||||
\(278\) | −10.1085 | + | 15.3137i | −0.606267 | + | 0.918455i | ||||
\(279\) | −2.26398 | + | 6.96781i | −0.135541 | + | 0.417152i | ||||
\(280\) | 9.81373 | + | 10.2644i | 0.586482 | + | 0.613412i | ||||
\(281\) | −25.1087 | − | 4.55656i | −1.49786 | − | 0.271821i | −0.633125 | − | 0.774050i | \(-0.718228\pi\) |
−0.864735 | + | 0.502228i | \(0.832514\pi\) | |||||||
\(282\) | −17.8492 | + | 41.7604i | −1.06291 | + | 2.48679i | ||||
\(283\) | 8.08615 | 0.480672 | 0.240336 | − | 0.970690i | \(-0.422742\pi\) | ||||
0.240336 | + | 0.970690i | \(0.422742\pi\) | |||||||
\(284\) | −3.37085 | + | 7.82530i | −0.200023 | + | 0.464346i | ||||
\(285\) | −12.8650 | −0.762056 | ||||||||
\(286\) | 3.84501 | − | 8.99584i | 0.227360 | − | 0.531935i | ||||
\(287\) | 5.29692 | + | 0.961249i | 0.312667 | + | 0.0567408i | ||||
\(288\) | −24.0585 | − | 25.1632i | −1.41766 | − | 1.48276i | ||||
\(289\) | 3.52971 | − | 10.8633i | 0.207630 | − | 0.639020i | ||||
\(290\) | 9.48948 | − | 14.3759i | 0.557241 | − | 0.844185i | ||||
\(291\) | 10.4937 | − | 9.16803i | 0.615149 | − | 0.537440i | ||||
\(292\) | −6.39796 | + | 2.40119i | −0.374412 | + | 0.140519i | ||||
\(293\) | −14.8862 | − | 5.58690i | −0.869663 | − | 0.326390i | −0.123654 | − | 0.992325i | \(-0.539461\pi\) |
−0.746009 | + | 0.665935i | \(0.768033\pi\) | |||||||
\(294\) | −1.03520 | − | 0.904425i | −0.0603740 | − | 0.0527471i | ||||
\(295\) | 34.9311 | − | 9.64037i | 2.03377 | − | 0.561284i | ||||
\(296\) | 3.62096 | + | 5.48552i | 0.210464 | + | 0.318839i | ||||
\(297\) | −32.4915 | − | 8.96710i | −1.88535 | − | 0.520324i | ||||
\(298\) | −11.6414 | − | 35.8285i | −0.674367 | − | 2.07549i | ||||
\(299\) | 0.271081 | − | 0.503753i | 0.0156770 | − | 0.0291328i | ||||
\(300\) | 0.726109 | − | 16.1681i | 0.0419219 | − | 0.933464i | ||||
\(301\) | 10.0792 | − | 7.32296i | 0.580955 | − | 0.422089i | ||||
\(302\) | 10.8060 | − | 11.3022i | 0.621816 | − | 0.650368i | ||||
\(303\) | −4.19784 | − | 7.80089i | −0.241159 | − | 0.448149i | ||||
\(304\) | 5.85775 | − | 2.82094i | 0.335965 | − | 0.161792i | ||||
\(305\) | −19.8708 | + | 11.8723i | −1.13780 | + | 0.679804i | ||||
\(306\) | −8.24348 | + | 60.8558i | −0.471248 | + | 3.47890i | ||||
\(307\) | 0.141279 | − | 0.618982i | 0.00806320 | − | 0.0353272i | −0.970736 | − | 0.240148i | \(-0.922804\pi\) |
0.978799 | + | 0.204821i | \(0.0656612\pi\) | |||||||
\(308\) | 7.71093 | − | 1.39933i | 0.439371 | − | 0.0797341i | ||||
\(309\) | −1.22586 | − | 0.890639i | −0.0697367 | − | 0.0506667i | ||||
\(310\) | 3.80528 | − | 4.77167i | 0.216125 | − | 0.271013i | ||||
\(311\) | 0.453540 | + | 0.270978i | 0.0257179 | + | 0.0153657i | 0.525701 | − | 0.850670i | \(-0.323803\pi\) |
−0.499983 | + | 0.866035i | \(0.666660\pi\) | |||||||
\(312\) | −10.0233 | − | 0.902116i | −0.567459 | − | 0.0510723i | ||||
\(313\) | −1.05660 | − | 7.80010i | −0.0597223 | − | 0.440888i | −0.995980 | − | 0.0895741i | \(-0.971449\pi\) |
0.936258 | − | 0.351314i | \(-0.114265\pi\) | |||||||
\(314\) | 0.933954 | + | 1.17114i | 0.0527060 | + | 0.0660913i | ||||
\(315\) | 2.46486 | + | 54.8843i | 0.138879 | + | 3.09238i | ||||
\(316\) | 15.6120 | + | 7.51832i | 0.878241 | + | 0.422939i | ||||
\(317\) | −11.2986 | + | 1.01689i | −0.634593 | + | 0.0571144i | −0.402265 | − | 0.915523i | \(-0.631777\pi\) |
−0.232328 | + | 0.972638i | \(0.574634\pi\) | |||||||
\(318\) | 0.472408 | + | 2.06975i | 0.0264913 | + | 0.116066i | ||||
\(319\) | 3.65341 | + | 8.54757i | 0.204551 | + | 0.478572i | ||||
\(320\) | −1.12618 | − | 2.63483i | −0.0629553 | − | 0.147291i | ||||
\(321\) | 12.0344 | + | 52.7260i | 0.671693 | + | 2.94288i | ||||
\(322\) | 1.35913 | − | 0.122324i | 0.0757413 | − | 0.00681684i | ||||
\(323\) | −6.24600 | − | 3.00792i | −0.347537 | − | 0.167365i | ||||
\(324\) | −0.687363 | − | 15.3053i | −0.0381868 | − | 0.850296i | ||||
\(325\) | −6.07264 | − | 7.61485i | −0.336850 | − | 0.422396i | ||||
\(326\) | −1.11568 | − | 8.23628i | −0.0617918 | − | 0.456166i | ||||
\(327\) | 32.5022 | + | 2.92525i | 1.79738 | + | 0.161767i | ||||
\(328\) | −3.05330 | − | 1.82426i | −0.168590 | − | 0.100728i | ||||
\(329\) | −13.6505 | + | 17.1171i | −0.752574 | + | 0.943698i | ||||
\(330\) | 41.4475 | + | 30.1133i | 2.28161 | + | 1.65769i | ||||
\(331\) | −17.2903 | + | 3.13773i | −0.950362 | + | 0.172465i | −0.631535 | − | 0.775347i | \(-0.717575\pi\) |
−0.318827 | + | 0.947813i | \(0.603289\pi\) | |||||||
\(332\) | −3.13983 | + | 13.7565i | −0.172321 | + | 0.754986i | ||||
\(333\) | −3.41336 | + | 25.1985i | −0.187051 | + | 1.38087i | ||||
\(334\) | 17.5501 | − | 10.4857i | 0.960300 | − | 0.573752i | ||||
\(335\) | 30.4710 | − | 14.6741i | 1.66481 | − | 0.801731i | ||||
\(336\) | −19.1030 | − | 35.4993i | −1.04215 | − | 1.93664i | ||||
\(337\) | −9.04172 | + | 9.45689i | −0.492534 | + | 0.515150i | −0.921609 | − | 0.388119i | \(-0.873125\pi\) |
0.429076 | + | 0.903268i | \(0.358839\pi\) | |||||||
\(338\) | −13.2396 | + | 9.61917i | −0.720142 | + | 0.523214i | ||||
\(339\) | 2.87316 | − | 63.9759i | 0.156049 | − | 3.47469i | ||||
\(340\) | 8.14086 | − | 15.1283i | 0.441500 | − | 0.820445i | ||||
\(341\) | 1.01776 | + | 3.13234i | 0.0551148 | + | 0.169626i | ||||
\(342\) | 14.4392 | + | 3.98496i | 0.780781 | + | 0.215482i | ||||
\(343\) | −10.3801 | − | 15.7252i | −0.560475 | − | 0.849083i | ||||
\(344\) | −7.93459 | + | 2.18981i | −0.427804 | + | 0.118067i | ||||
\(345\) | 2.25601 | + | 1.97102i | 0.121459 | + | 0.106116i | ||||
\(346\) | −26.6746 | − | 10.0112i | −1.43404 | − | 0.538203i | ||||
\(347\) | −7.00905 | + | 2.63054i | −0.376266 | + | 0.141215i | −0.532340 | − | 0.846530i | \(-0.678687\pi\) |
0.156075 | + | 0.987745i | \(0.450116\pi\) | |||||||
\(348\) | −7.36412 | + | 6.43384i | −0.394758 | + | 0.344890i | ||||
\(349\) | 10.9873 | − | 16.6451i | 0.588139 | − | 0.890992i | −0.411654 | − | 0.911340i | \(-0.635049\pi\) |
0.999793 | + | 0.0203478i | \(0.00647736\pi\) | |||||||
\(350\) | 7.17962 | − | 22.0966i | 0.383767 | − | 1.18111i | ||||
\(351\) | −14.7464 | − | 15.4236i | −0.787107 | − | 0.823249i | ||||
\(352\) | −15.3989 | − | 2.79448i | −0.820761 | − | 0.148946i | ||||
\(353\) | −2.32328 | + | 5.43558i | −0.123656 | + | 0.289307i | −0.969906 | − | 0.243478i | \(-0.921712\pi\) |
0.846251 | + | 0.532785i | \(0.178854\pi\) | |||||||
\(354\) | −61.2590 | −3.25588 | ||||||||
\(355\) | −26.7507 | + | 2.33149i | −1.41978 | + | 0.123743i | ||||
\(356\) | 9.06747 | 0.480575 | ||||||||
\(357\) | −16.8941 | + | 39.5257i | −0.894129 | + | 2.09192i | ||||
\(358\) | −18.5180 | − | 3.36053i | −0.978708 | − | 0.177609i | ||||
\(359\) | 12.4398 | + | 13.0110i | 0.656547 | + | 0.686694i | 0.964312 | − | 0.264768i | \(-0.0852954\pi\) |
−0.307765 | + | 0.951462i | \(0.599581\pi\) | |||||||
\(360\) | 11.2167 | − | 34.5214i | 0.591171 | − | 1.81944i | ||||
\(361\) | 9.53552 | − | 14.4457i | 0.501869 | − | 0.760300i | ||||
\(362\) | 28.3081 | − | 24.7321i | 1.48784 | − | 1.29989i | ||||
\(363\) | 6.08846 | − | 2.28504i | 0.319561 | − | 0.119933i | ||||
\(364\) | 4.64502 | + | 1.74330i | 0.243465 | + | 0.0913740i | ||||
\(365\) | −16.2184 | − | 14.1696i | −0.848912 | − | 0.741672i | ||||
\(366\) | 37.7208 | − | 10.4103i | 1.97170 | − | 0.544153i | ||||
\(367\) | 3.74989 | + | 5.68083i | 0.195742 | + | 0.296537i | 0.919168 | − | 0.393865i | \(-0.128862\pi\) |
−0.723426 | + | 0.690402i | \(0.757434\pi\) | |||||||
\(368\) | −1.45941 | − | 0.402771i | −0.0760769 | − | 0.0209959i | ||||
\(369\) | −4.25214 | − | 13.0867i | −0.221357 | − | 0.681268i | ||||
\(370\) | 10.0380 | − | 18.6537i | 0.521851 | − | 0.969762i | ||||
\(371\) | −0.0459167 | + | 1.02241i | −0.00238388 | + | 0.0530811i | ||||
\(372\) | −2.80303 | + | 2.03652i | −0.145330 | + | 0.105589i | ||||
\(373\) | 12.8311 | − | 13.4203i | 0.664371 | − | 0.694878i | −0.301627 | − | 0.953426i | \(-0.597530\pi\) |
0.965998 | + | 0.258548i | \(0.0832441\pi\) | |||||||
\(374\) | 13.0822 | + | 24.3108i | 0.676465 | + | 1.25708i | ||||
\(375\) | 1.38541 | − | 0.667177i | 0.0715421 | − | 0.0344529i | ||||
\(376\) | 12.4173 | − | 7.41901i | 0.640375 | − | 0.382606i | ||||
\(377\) | −0.789947 | + | 5.83162i | −0.0406843 | + | 0.300344i | ||||
\(378\) | 11.3269 | − | 49.6265i | 0.582594 | − | 2.55251i | ||||
\(379\) | −35.6116 | + | 6.46255i | −1.82924 | + | 0.331959i | −0.980450 | − | 0.196766i | \(-0.936956\pi\) |
−0.848793 | + | 0.528725i | \(0.822670\pi\) | |||||||
\(380\) | −3.39002 | − | 2.46299i | −0.173904 | − | 0.126349i | ||||
\(381\) | 10.5045 | − | 13.1722i | 0.538161 | − | 0.674833i | ||||
\(382\) | −22.2616 | − | 13.3007i | −1.13900 | − | 0.680523i | ||||
\(383\) | 11.7096 | + | 1.05389i | 0.598334 | + | 0.0538510i | 0.384667 | − | 0.923056i | \(-0.374316\pi\) |
0.213667 | + | 0.976907i | \(0.431459\pi\) | |||||||
\(384\) | 5.02131 | + | 37.0688i | 0.256242 | + | 1.89166i | ||||
\(385\) | 15.3988 | + | 19.3095i | 0.784798 | + | 0.984105i | ||||
\(386\) | −1.12512 | − | 25.0528i | −0.0572672 | − | 1.27515i | ||||
\(387\) | −28.6908 | − | 13.8168i | −1.45844 | − | 0.702346i | ||||
\(388\) | 4.52037 | − | 0.406840i | 0.229487 | − | 0.0206542i | ||||
\(389\) | −1.42100 | − | 6.22580i | −0.0720475 | − | 0.315661i | 0.926044 | − | 0.377416i | \(-0.123187\pi\) |
−0.998091 | + | 0.0617554i | \(0.980330\pi\) | |||||||
\(390\) | 12.7474 | + | 29.8239i | 0.645488 | + | 1.51019i | ||||
\(391\) | 0.634466 | + | 1.48441i | 0.0320863 | + | 0.0750696i | ||||
\(392\) | 0.0974255 | + | 0.426849i | 0.00492073 | + | 0.0215591i | ||||
\(393\) | −4.49946 | + | 0.404958i | −0.226968 | + | 0.0204274i | ||||
\(394\) | −3.56981 | − | 1.71913i | −0.179845 | − | 0.0866086i | ||||
\(395\) | 2.45002 | + | 54.5539i | 0.123274 | + | 2.74491i | ||||
\(396\) | −12.4893 | − | 15.6611i | −0.627610 | − | 0.786998i | ||||
\(397\) | 4.97690 | + | 36.7410i | 0.249784 | + | 1.84398i | 0.488098 | + | 0.872789i | \(0.337691\pi\) |
−0.238314 | + | 0.971188i | \(0.576595\pi\) | |||||||
\(398\) | 0.223359 | + | 0.0201027i | 0.0111960 | + | 0.00100765i | ||||
\(399\) | 9.00037 | + | 5.37747i | 0.450582 | + | 0.269210i | ||||
\(400\) | −16.0714 | + | 20.1529i | −0.803569 | + | 1.00764i | ||||
\(401\) | 21.3045 | + | 15.4786i | 1.06389 | + | 0.772964i | 0.974805 | − | 0.223059i | \(-0.0716044\pi\) |
0.0890893 | + | 0.996024i | \(0.471604\pi\) | |||||||
\(402\) | −56.2548 | + | 10.2087i | −2.80574 | + | 0.509166i | ||||
\(403\) | −0.463974 | + | 2.03280i | −0.0231122 | + | 0.101261i | ||||
\(404\) | 0.387313 | − | 2.85926i | 0.0192696 | − | 0.142254i | ||||
\(405\) | 41.4487 | − | 24.7644i | 2.05960 | − | 1.23055i | ||||
\(406\) | −12.6479 | + | 6.09091i | −0.627705 | + | 0.302287i | ||||
\(407\) | 5.41693 | + | 10.0663i | 0.268507 | + | 0.498970i | ||||
\(408\) | 19.6258 | − | 20.5270i | 0.971623 | − | 1.01624i | ||||
\(409\) | 16.5702 | − | 12.0389i | 0.819342 | − | 0.595286i | −0.0971823 | − | 0.995267i | \(-0.530983\pi\) |
0.916524 | + | 0.399980i | \(0.130983\pi\) | |||||||
\(410\) | −0.514278 | + | 11.4513i | −0.0253984 | + | 0.565539i | ||||
\(411\) | 1.31485 | − | 2.44340i | 0.0648568 | − | 0.120524i | ||||
\(412\) | −0.152511 | − | 0.469379i | −0.00751366 | − | 0.0231247i | ||||
\(413\) | −28.4675 | − | 7.85652i | −1.40079 | − | 0.386594i | ||||
\(414\) | −1.92153 | − | 2.91100i | −0.0944382 | − | 0.143068i | ||||
\(415\) | −42.8659 | + | 11.8302i | −2.10420 | + | 0.580723i | ||||
\(416\) | −7.46140 | − | 6.51883i | −0.365825 | − | 0.319612i | ||||
\(417\) | 30.7348 | + | 11.5350i | 1.50509 | + | 0.564869i | ||||
\(418\) | 6.30434 | − | 2.36606i | 0.308356 | − | 0.115728i | ||||
\(419\) | 22.4114 | − | 19.5803i | 1.09487 | − | 0.956559i | 0.0956257 | − | 0.995417i | \(-0.469515\pi\) |
0.999245 | + | 0.0388579i | \(0.0123720\pi\) | |||||||
\(420\) | −14.3132 | + | 21.6835i | −0.698412 | + | 1.05805i | ||||
\(421\) | 5.02628 | − | 15.4693i | 0.244966 | − | 0.753927i | −0.750676 | − | 0.660670i | \(-0.770272\pi\) |
0.995642 | − | 0.0932569i | \(-0.0297278\pi\) | |||||||
\(422\) | −8.71050 | − | 9.11047i | −0.424021 | − | 0.443491i | ||||
\(423\) | 55.0614 | + | 9.99217i | 2.67718 | + | 0.485836i | ||||
\(424\) | 0.265755 | − | 0.621764i | 0.0129062 | − | 0.0301955i | ||||
\(425\) | 27.4849 | 1.33322 | ||||||||
\(426\) | 44.6412 | + | 8.23144i | 2.16287 | + | 0.398814i | ||||
\(427\) | 18.8642 | 0.912903 | ||||||||
\(428\) | −6.92321 | + | 16.1977i | −0.334646 | + | 0.782943i | ||||
\(429\) | −17.2215 | − | 3.12523i | −0.831460 | − | 0.150888i | ||||
\(430\) | 18.3323 | + | 19.1741i | 0.884064 | + | 0.924659i | ||||
\(431\) | −1.23459 | + | 3.79968i | −0.0594681 | + | 0.183024i | −0.976378 | − | 0.216071i | \(-0.930676\pi\) |
0.916910 | + | 0.399095i | \(0.130676\pi\) | |||||||
\(432\) | −31.1111 | + | 47.1313i | −1.49683 | + | 2.26761i | ||||
\(433\) | −29.0241 | + | 25.3576i | −1.39481 | + | 1.21861i | −0.449143 | + | 0.893460i | \(0.648271\pi\) |
−0.945664 | + | 0.325146i | \(0.894586\pi\) | |||||||
\(434\) | −4.65671 | + | 1.74769i | −0.223529 | + | 0.0838918i | ||||
\(435\) | −28.8527 | − | 10.8286i | −1.38338 | − | 0.519191i | ||||
\(436\) | 8.00453 | + | 6.99335i | 0.383348 | + | 0.334921i | ||||
\(437\) | 0.379559 | − | 0.104752i | 0.0181568 | − | 0.00501096i | ||||
\(438\) | 20.0568 | + | 30.3847i | 0.958351 | + | 1.45184i | ||||
\(439\) | 5.60096 | + | 1.54577i | 0.267319 | + | 0.0737754i | 0.397127 | − | 0.917764i | \(-0.370007\pi\) |
−0.129807 | + | 0.991539i | \(0.541436\pi\) | |||||||
\(440\) | −5.04240 | − | 15.5189i | −0.240387 | − | 0.739835i | ||||
\(441\) | −0.802655 | + | 1.49158i | −0.0382217 | + | 0.0710277i | ||||
\(442\) | −0.784132 | + | 17.4601i | −0.0372974 | + | 0.830490i | ||||
\(443\) | −9.92712 | + | 7.21247i | −0.471652 | + | 0.342675i | −0.798085 | − | 0.602545i | \(-0.794153\pi\) |
0.326433 | + | 0.945220i | \(0.394153\pi\) | |||||||
\(444\) | −8.31036 | + | 8.69195i | −0.394392 | + | 0.412502i | ||||
\(445\) | 13.5413 | + | 25.1639i | 0.641919 | + | 1.19288i | ||||
\(446\) | 34.3934 | − | 16.5630i | 1.62857 | − | 0.784279i | ||||
\(447\) | −57.8583 | + | 34.5687i | −2.73660 | + | 1.63504i | ||||
\(448\) | −0.313461 | + | 2.31406i | −0.0148097 | + | 0.109329i | ||||
\(449\) | 6.07927 | − | 26.6350i | 0.286899 | − | 1.25698i | −0.601857 | − | 0.798604i | \(-0.705572\pi\) |
0.888756 | − | 0.458381i | \(-0.151570\pi\) | |||||||
\(450\) | −58.4317 | + | 10.6038i | −2.75450 | + | 0.499868i | ||||
\(451\) | −5.00444 | − | 3.63594i | −0.235650 | − | 0.171210i | ||||
\(452\) | 13.0052 | − | 16.3080i | 0.611714 | − | 0.767065i | ||||
\(453\) | −24.0155 | − | 14.3486i | −1.12835 | − | 0.674155i | ||||
\(454\) | 19.7545 | + | 1.77794i | 0.927125 | + | 0.0834427i | ||||
\(455\) | 2.09884 | + | 15.4942i | 0.0983950 | + | 0.726381i | ||||
\(456\) | −4.31888 | − | 5.41571i | −0.202250 | − | 0.253614i | ||||
\(457\) | −1.04249 | − | 23.2129i | −0.0487657 | − | 1.08585i | −0.862964 | − | 0.505266i | \(-0.831394\pi\) |
0.814198 | − | 0.580588i | \(-0.197177\pi\) | |||||||
\(458\) | 26.7049 | + | 12.8604i | 1.24784 | + | 0.600928i | ||||
\(459\) | 59.9742 | − | 5.39778i | 2.79936 | − | 0.251947i | ||||
\(460\) | 0.217125 | + | 0.951288i | 0.0101235 | + | 0.0443540i | ||||
\(461\) | 0.478426 | + | 1.11933i | 0.0222825 | + | 0.0521325i | 0.930299 | − | 0.366801i | \(-0.119547\pi\) |
−0.908017 | + | 0.418933i | \(0.862404\pi\) | |||||||
\(462\) | −16.4096 | − | 38.3921i | −0.763442 | − | 1.78616i | ||||
\(463\) | 5.20919 | + | 22.8229i | 0.242092 | + | 1.06067i | 0.939109 | + | 0.343619i | \(0.111653\pi\) |
−0.697018 | + | 0.717054i | \(0.745490\pi\) | |||||||
\(464\) | 15.5118 | − | 1.39608i | 0.720115 | − | 0.0648115i | ||||
\(465\) | −9.83776 | − | 4.73762i | −0.456215 | − | 0.219702i | ||||
\(466\) | 0.585889 | + | 13.0458i | 0.0271408 | + | 0.604337i | ||||
\(467\) | −21.6557 | − | 27.1554i | −1.00210 | − | 1.25660i | −0.966348 | − | 0.257239i | \(-0.917187\pi\) |
−0.0357572 | − | 0.999361i | \(-0.511384\pi\) | |||||||
\(468\) | −1.70227 | − | 12.5666i | −0.0786874 | − | 0.580894i | ||||
\(469\) | −27.4513 | − | 2.47066i | −1.26758 | − | 0.114084i | ||||
\(470\) | −40.0188 | − | 23.9101i | −1.84593 | − | 1.10289i | ||||
\(471\) | 1.67092 | − | 2.09526i | 0.0769917 | − | 0.0965445i | ||||
\(472\) | 15.7849 | + | 11.4684i | 0.726560 | + | 0.527877i | ||||
\(473\) | −14.0854 | + | 2.55613i | −0.647649 | + | 0.117531i | ||||
\(474\) | 20.5425 | − | 90.0024i | 0.943547 | − | 4.13395i | ||||
\(475\) | 0.899884 | − | 6.64321i | 0.0412895 | − | 0.304811i | ||||
\(476\) | −12.0189 | + | 7.18094i | −0.550884 | + | 0.329138i | ||||
\(477\) | 2.35689 | − | 1.13502i | 0.107915 | − | 0.0519690i | ||||
\(478\) | 19.2264 | + | 35.7286i | 0.879393 | + | 1.63419i | ||||
\(479\) | 10.7701 | − | 11.2646i | 0.492096 | − | 0.514693i | −0.429381 | − | 0.903123i | \(-0.641268\pi\) |
0.921478 | + | 0.388431i | \(0.126983\pi\) | |||||||
\(480\) | 41.9764 | − | 30.4976i | 1.91595 | − | 1.39202i | ||||
\(481\) | −0.324684 | + | 7.22965i | −0.0148043 | + | 0.329644i | ||||
\(482\) | −17.9985 | + | 33.4468i | −0.819809 | + | 1.52346i | ||||
\(483\) | −0.754438 | − | 2.32192i | −0.0343281 | − | 0.105651i | ||||
\(484\) | 2.04182 | + | 0.563507i | 0.0928100 | + | 0.0256139i | ||||
\(485\) | 7.87974 | + | 11.9373i | 0.357801 | + | 0.542045i | ||||
\(486\) | −22.0010 | + | 6.07189i | −0.997986 | + | 0.275427i | ||||
\(487\) | −4.71595 | − | 4.12020i | −0.213700 | − | 0.186704i | 0.544432 | − | 0.838805i | \(-0.316745\pi\) |
−0.758133 | + | 0.652101i | \(0.773888\pi\) | |||||||
\(488\) | −11.6686 | − | 4.37930i | −0.528213 | − | 0.198242i | ||||
\(489\) | −13.9217 | + | 5.22492i | −0.629563 | + | 0.236279i | ||||
\(490\) | 1.06261 | − | 0.928375i | 0.0480039 | − | 0.0419397i | ||||
\(491\) | 3.03712 | − | 4.60104i | 0.137063 | − | 0.207642i | −0.759559 | − | 0.650439i | \(-0.774585\pi\) |
0.896622 | + | 0.442797i | \(0.146014\pi\) | |||||||
\(492\) | 2.01089 | − | 6.18887i | 0.0906577 | − | 0.279016i | ||||
\(493\) | −11.4763 | − | 12.0033i | −0.516866 | − | 0.540600i | ||||
\(494\) | 4.19449 | + | 0.761187i | 0.188719 | + | 0.0342474i | ||||
\(495\) | 24.8110 | − | 58.0482i | 1.11517 | − | 2.60907i | ||||
\(496\) | 5.51821 | 0.247775 | ||||||||
\(497\) | 19.6894 | + | 9.55048i | 0.883189 | + | 0.428397i | ||||
\(498\) | 75.1743 | 3.36864 | ||||||||
\(499\) | 9.71823 | − | 22.7369i | 0.435048 | − | 1.01784i | −0.548328 | − | 0.836263i | \(-0.684736\pi\) |
0.983376 | − | 0.181581i | \(-0.0581216\pi\) | |||||||
\(500\) | 0.492795 | + | 0.0894292i | 0.0220385 | + | 0.00399939i | ||||
\(501\) | −25.2762 | − | 26.4369i | −1.12926 | − | 1.18111i | ||||
\(502\) | 4.97436 | − | 15.3095i | 0.222017 | − | 0.683297i | ||||
\(503\) | −5.50528 | + | 8.34014i | −0.245468 | + | 0.371869i | −0.936332 | − | 0.351117i | \(-0.885802\pi\) |
0.690863 | + | 0.722985i | \(0.257231\pi\) | |||||||
\(504\) | −22.2769 | + | 19.4627i | −0.992292 | + | 0.866939i | ||||
\(505\) | 8.51340 | − | 3.19513i | 0.378841 | − | 0.142182i | ||||
\(506\) | −1.46803 | − | 0.550962i | −0.0652620 | − | 0.0244932i | ||||
\(507\) | 22.0488 | + | 19.2634i | 0.979220 | + | 0.855519i | ||||
\(508\) | 5.28982 | − | 1.45990i | 0.234698 | − | 0.0647725i | ||||
\(509\) | −11.6983 | − | 17.7222i | −0.518520 | − | 0.785524i | 0.477117 | − | 0.878840i | \(-0.341682\pi\) |
−0.995637 | + | 0.0933163i | \(0.970253\pi\) | |||||||
\(510\) | −88.2281 | − | 24.3494i | −3.90681 | − | 1.07821i | ||||
\(511\) | 5.42365 | + | 16.6923i | 0.239928 | + | 0.738423i | ||||
\(512\) | −4.29488 | + | 7.98123i | −0.189809 | + | 0.352724i | ||||
\(513\) | 0.658952 | − | 14.6727i | 0.0290935 | − | 0.647816i | ||||
\(514\) | −30.5645 | + | 22.2064i | −1.34814 | + | 0.979482i | ||||
\(515\) | 1.07486 | − | 1.12421i | 0.0473639 | − | 0.0495388i | ||||
\(516\) | −7.13628 | − | 13.2614i | −0.314157 | − | 0.583802i | ||||
\(517\) | 22.6655 | − | 10.9151i | 0.996829 | − | 0.480047i | ||||
\(518\) | −14.8197 | + | 8.85438i | −0.651142 | + | 0.389039i | ||||
\(519\) | −6.84231 | + | 50.5120i | −0.300344 | + | 2.21723i | ||||
\(520\) | 2.29872 | − | 10.0713i | 0.100805 | − | 0.441657i | ||||
\(521\) | 25.3625 | − | 4.60262i | 1.11115 | − | 0.201644i | 0.408208 | − | 0.912889i | \(-0.366154\pi\) |
0.702945 | + | 0.711245i | \(0.251868\pi\) | |||||||
\(522\) | 29.0290 | + | 21.0908i | 1.27056 | + | 0.923118i | ||||
\(523\) | 15.5014 | − | 19.4382i | 0.677830 | − | 0.849971i | −0.317323 | − | 0.948318i | \(-0.602784\pi\) |
0.995152 | + | 0.0983462i | \(0.0313552\pi\) | |||||||
\(524\) | −1.26317 | − | 0.754708i | −0.0551817 | − | 0.0329696i | ||||
\(525\) | −41.3996 | − | 3.72603i | −1.80683 | − | 0.162617i | ||||
\(526\) | −0.906009 | − | 6.68842i | −0.0395038 | − | 0.291629i | ||||
\(527\) | −3.66859 | − | 4.60026i | −0.159806 | − | 0.200391i | ||||
\(528\) | 2.07820 | + | 46.2747i | 0.0904420 | + | 2.01385i | ||||
\(529\) | 20.6397 | + | 9.93954i | 0.897377 | + | 0.432154i | ||||
\(530\) | −2.17043 | + | 0.195342i | −0.0942773 | + | 0.00848511i | ||||
\(531\) | 16.7967 | + | 73.5913i | 0.728916 | + | 3.19359i | ||||
\(532\) | 1.34215 | + | 3.14011i | 0.0581896 | + | 0.136141i | ||||
\(533\) | −1.53914 | − | 3.60099i | −0.0666675 | − | 0.155976i | ||||
\(534\) | −10.7496 | − | 47.0970i | −0.465179 | − | 2.03808i | ||||
\(535\) | −55.2906 | + | 4.97625i | −2.39042 | + | 0.215142i | ||||
\(536\) | 16.4067 | + | 7.90103i | 0.708660 | + | 0.341272i | ||||
\(537\) | 1.51066 | + | 33.6374i | 0.0651896 | + | 1.45156i | ||||
\(538\) | −10.1733 | − | 12.7569i | −0.438603 | − | 0.549991i | ||||
\(539\) | 0.102212 | + | 0.754563i | 0.00440260 | + | 0.0325013i | ||||
\(540\) | 36.2507 | + | 3.26262i | 1.55998 | + | 0.140401i | ||||
\(541\) | 11.5537 | + | 6.90302i | 0.496733 | + | 0.296784i | 0.739330 | − | 0.673343i | \(-0.235142\pi\) |
−0.242597 | + | 0.970127i | \(0.577999\pi\) | |||||||
\(542\) | −2.37193 | + | 2.97431i | −0.101883 | + | 0.127757i | ||||
\(543\) | −54.4079 | − | 39.5296i | −2.33486 | − | 1.69638i | ||||
\(544\) | 27.5103 | − | 4.99238i | 1.17949 | − | 0.214046i | ||||
\(545\) | −7.45396 | + | 32.6579i | −0.319292 | + | 1.39891i | ||||
\(546\) | 3.54811 | − | 26.1932i | 0.151845 | − | 1.12097i | ||||
\(547\) | −18.3569 | + | 10.9677i | −0.784884 | + | 0.468946i | −0.848608 | − | 0.529021i | \(-0.822559\pi\) |
0.0637249 | + | 0.997968i | \(0.479702\pi\) | |||||||
\(548\) | 0.814260 | − | 0.392127i | 0.0347835 | − | 0.0167508i | ||||
\(549\) | −22.8487 | − | 42.4600i | −0.975159 | − | 1.81215i | ||||
\(550\) | −18.4491 | + | 19.2962i | −0.786672 | + | 0.822794i | ||||
\(551\) | −3.27698 | + | 2.38086i | −0.139604 | + | 0.101428i | ||||
\(552\) | −0.0723675 | + | 1.61139i | −0.00308017 | + | 0.0685852i | ||||
\(553\) | 21.0891 | − | 39.1901i | 0.896800 | − | 1.66653i | ||||
\(554\) | −7.60062 | − | 23.3923i | −0.322919 | − | 0.993844i | ||||
\(555\) | −36.5324 | − | 10.0823i | −1.55072 | − | 0.427970i | ||||
\(556\) | 5.89047 | + | 8.92369i | 0.249812 | + | 0.378449i | ||||
\(557\) | 35.5051 | − | 9.79879i | 1.50440 | − | 0.415188i | 0.585826 | − | 0.810437i | \(-0.300770\pi\) |
0.918574 | + | 0.395249i | \(0.129342\pi\) | |||||||
\(558\) | 9.57405 | + | 8.36459i | 0.405302 | + | 0.354101i | ||||
\(559\) | −8.48499 | − | 3.18447i | −0.358877 | − | 0.134689i | ||||
\(560\) | 38.7417 | − | 14.5400i | 1.63714 | − | 0.614427i | ||||
\(561\) | 37.1954 | − | 32.4966i | 1.57039 | − | 1.37201i | ||||
\(562\) | −24.3949 | + | 36.9568i | −1.02904 | + | 1.55893i | ||||
\(563\) | −7.39121 | + | 22.7478i | −0.311502 | + | 0.958706i | 0.665668 | + | 0.746248i | \(0.268147\pi\) |
−0.977170 | + | 0.212458i | \(0.931853\pi\) | |||||||
\(564\) | 18.2886 | + | 19.1284i | 0.770089 | + | 0.805450i | ||||
\(565\) | 64.6798 | + | 11.7376i | 2.72110 | + | 0.493807i | ||||
\(566\) | 5.51482 | − | 12.9026i | 0.231805 | − | 0.542335i | ||||
\(567\) | −39.3489 | −1.65250 | ||||||||
\(568\) | −9.96190 | − | 10.4784i | −0.417992 | − | 0.439664i | ||||
\(569\) | −8.58042 | −0.359710 | −0.179855 | − | 0.983693i | \(-0.557563\pi\) | ||||
−0.179855 | + | 0.983693i | \(0.557563\pi\) | |||||||
\(570\) | −8.77402 | + | 20.5278i | −0.367503 | + | 0.859817i | ||||
\(571\) | 2.48207 | + | 0.450430i | 0.103872 | + | 0.0188499i | 0.230244 | − | 0.973133i | \(-0.426048\pi\) |
−0.126372 | + | 0.991983i | \(0.540333\pi\) | |||||||
\(572\) | −3.93965 | − | 4.12056i | −0.164725 | − | 0.172289i | ||||
\(573\) | −14.3369 | + | 44.1243i | −0.598931 | + | 1.84332i | ||||
\(574\) | 5.14635 | − | 7.79638i | 0.214804 | − | 0.325415i | ||||
\(575\) | −1.17560 | + | 1.02709i | −0.0490258 | + | 0.0428325i | ||||
\(576\) | 5.58823 | − | 2.09730i | 0.232843 | − | 0.0873873i | ||||
\(577\) | −21.1497 | − | 7.93762i | −0.880474 | − | 0.330448i | −0.130132 | − | 0.991497i | \(-0.541540\pi\) |
−0.750343 | + | 0.661049i | \(0.770111\pi\) | |||||||
\(578\) | −14.9267 | − | 13.0410i | −0.620867 | − | 0.542435i | ||||
\(579\) | −43.2497 | + | 11.9361i | −1.79739 | + | 0.496049i | ||||
\(580\) | −5.52976 | − | 8.37723i | −0.229611 | − | 0.347845i | ||||
\(581\) | 34.9340 | + | 9.64117i | 1.44931 | + | 0.399983i | ||||
\(582\) | −7.47209 | − | 22.9967i | −0.309728 | − | 0.953245i | ||||
\(583\) | 0.557264 | − | 1.03557i | 0.0230795 | − | 0.0428889i | ||||
\(584\) | 0.520249 | − | 11.5843i | 0.0215281 | − | 0.479360i | ||||
\(585\) | 32.3327 | − | 23.4911i | 1.33679 | − | 0.971236i | ||||
\(586\) | −19.0672 | + | 19.9427i | −0.787658 | + | 0.823826i | ||||
\(587\) | −10.1924 | − | 18.9407i | −0.420685 | − | 0.781764i | 0.578745 | − | 0.815508i | \(-0.303543\pi\) |
−0.999431 | + | 0.0337441i | \(0.989257\pi\) | |||||||
\(588\) | −0.721707 | + | 0.347556i | −0.0297627 | + | 0.0143330i | ||||
\(589\) | −1.23201 | + | 0.736094i | −0.0507642 | + | 0.0303302i | ||||
\(590\) | 8.44075 | − | 62.3121i | 0.347500 | − | 2.56535i | ||||
\(591\) | −1.57738 | + | 6.91095i | −0.0648847 | + | 0.284278i | ||||
\(592\) | 18.8449 | − | 3.41985i | 0.774522 | − | 0.140555i | ||||
\(593\) | −18.2978 | − | 13.2941i | −0.751400 | − | 0.545924i | 0.144860 | − | 0.989452i | \(-0.453727\pi\) |
−0.896261 | + | 0.443528i | \(0.853727\pi\) | |||||||
\(594\) | −36.4677 | + | 45.7291i | −1.49629 | + | 1.87629i | ||||
\(595\) | −37.8773 | − | 22.6307i | −1.55282 | − | 0.927766i | ||||
\(596\) | −21.8642 | − | 1.96781i | −0.895593 | − | 0.0806048i | ||||
\(597\) | −0.0538572 | − | 0.397590i | −0.00220423 | − | 0.0162723i | ||||
\(598\) | −0.618928 | − | 0.776111i | −0.0253098 | − | 0.0317375i | ||||
\(599\) | 1.81631 | + | 40.4432i | 0.0742122 | + | 1.65246i | 0.598647 | + | 0.801013i | \(0.295705\pi\) |
−0.524435 | + | 0.851450i | \(0.675723\pi\) | |||||||
\(600\) | 24.7431 | + | 11.9157i | 1.01013 | + | 0.486454i | ||||
\(601\) | 13.3199 | − | 1.19881i | 0.543330 | − | 0.0489006i | 0.185425 | − | 0.982658i | \(-0.440634\pi\) |
0.357905 | + | 0.933758i | \(0.383491\pi\) | |||||||
\(602\) | −4.81070 | − | 21.0770i | −0.196069 | − | 0.859036i | ||||
\(603\) | 27.6885 | + | 64.7805i | 1.12756 | + | 2.63807i | ||||
\(604\) | −3.58123 | − | 8.37870i | −0.145718 | − | 0.340924i | ||||
\(605\) | 1.48540 | + | 6.50798i | 0.0603902 | + | 0.264587i | ||||
\(606\) | −15.3103 | + | 1.37796i | −0.621940 | + | 0.0559756i | ||||
\(607\) | 10.9552 | + | 5.27573i | 0.444657 | + | 0.214135i | 0.642794 | − | 0.766039i | \(-0.277775\pi\) |
−0.198138 | + | 0.980174i | \(0.563489\pi\) | |||||||
\(608\) | −0.305963 | − | 6.81279i | −0.0124084 | − | 0.276295i | ||||
\(609\) | 15.6591 | + | 19.6359i | 0.634539 | + | 0.795687i | ||||
\(610\) | 5.39177 | + | 39.8036i | 0.218306 | + | 1.61160i | ||||
\(611\) | 15.8622 | + | 1.42763i | 0.641717 | + | 0.0577556i | ||||
\(612\) | 30.7205 | + | 18.3547i | 1.24180 | + | 0.741943i | ||||
\(613\) | 4.54225 | − | 5.69580i | 0.183460 | − | 0.230051i | −0.681594 | − | 0.731731i | \(-0.738713\pi\) |
0.865054 | + | 0.501679i | \(0.167284\pi\) | |||||||
\(614\) | −0.891317 | − | 0.647580i | −0.0359706 | − | 0.0261342i | ||||
\(615\) | 20.1783 | − | 3.66183i | 0.813668 | − | 0.147659i | ||||
\(616\) | −2.95912 | + | 12.9647i | −0.119226 | + | 0.522364i | ||||
\(617\) | 4.40005 | − | 32.4824i | 0.177139 | − | 1.30769i | −0.656055 | − | 0.754713i | \(-0.727776\pi\) |
0.833194 | − | 0.552981i | \(-0.186510\pi\) | |||||||
\(618\) | −2.25718 | + | 1.34860i | −0.0907972 | + | 0.0542488i | ||||
\(619\) | −17.4427 | + | 8.39997i | −0.701082 | + | 0.337623i | −0.750238 | − | 0.661168i | \(-0.770061\pi\) |
0.0491562 | + | 0.998791i | \(0.484347\pi\) | |||||||
\(620\) | −1.68531 | − | 3.13183i | −0.0676836 | − | 0.125777i | ||||
\(621\) | −2.36353 | + | 2.47206i | −0.0948452 | + | 0.0992003i | ||||
\(622\) | 0.741700 | − | 0.538877i | 0.0297395 | − | 0.0216070i | ||||
\(623\) | 1.04483 | − | 23.2649i | 0.0418601 | − | 0.932088i | ||||
\(624\) | −13.8963 | + | 25.8237i | −0.556297 | + | 1.03377i | ||||
\(625\) | −7.47782 | − | 23.0143i | −0.299113 | − | 0.920574i | ||||
\(626\) | −13.1667 | − | 3.63379i | −0.526248 | − | 0.145235i | ||||
\(627\) | −6.63674 | − | 10.0542i | −0.265046 | − | 0.401527i | ||||
\(628\) | 0.841434 | − | 0.232221i | 0.0335769 | − | 0.00926663i | ||||
\(629\) | −15.3793 | − | 13.4365i | −0.613214 | − | 0.535749i | ||||
\(630\) | 89.2565 | + | 33.4985i | 3.55606 | + | 1.33461i | ||||
\(631\) | 12.0336 | − | 4.51628i | 0.479049 | − | 0.179790i | −0.100156 | − | 0.994972i | \(-0.531934\pi\) |
0.579206 | + | 0.815182i | \(0.303363\pi\) | |||||||
\(632\) | −22.1428 | + | 19.3456i | −0.880793 | + | 0.769526i | ||||
\(633\) | −12.4230 | + | 18.8200i | −0.493768 | + | 0.748027i | ||||
\(634\) | −6.08315 | + | 18.7220i | −0.241593 | + | 0.743546i | ||||
\(635\) | 11.9513 | + | 12.5000i | 0.474272 | + | 0.496049i | ||||
\(636\) | 1.21723 | + | 0.220895i | 0.0482665 | + | 0.00875907i | ||||
\(637\) | −0.189463 | + | 0.443270i | −0.00750679 | + | 0.0175630i | ||||
\(638\) | 16.1305 | 0.638611 | ||||||||
\(639\) | −2.35173 | − | 55.8851i | −0.0930330 | − | 2.21078i | ||||
\(640\) | −38.3979 | −1.51781 | ||||||||
\(641\) | −1.14528 | + | 2.67953i | −0.0452360 | + | 0.105835i | −0.940622 | − | 0.339456i | \(-0.889757\pi\) |
0.895386 | + | 0.445291i | \(0.146900\pi\) | |||||||
\(642\) | 92.3391 | + | 16.7571i | 3.64433 | + | 0.661349i | ||||
\(643\) | −2.44425 | − | 2.55649i | −0.0963920 | − | 0.100818i | 0.672839 | − | 0.739789i | \(-0.265075\pi\) |
−0.769231 | + | 0.638971i | \(0.779360\pi\) | |||||||
\(644\) | 0.245730 | − | 0.756280i | 0.00968313 | − | 0.0298016i | ||||
\(645\) | 26.1457 | − | 39.6090i | 1.02949 | − | 1.55960i | ||||
\(646\) | −9.05936 | + | 7.91493i | −0.356436 | + | 0.311409i | ||||
\(647\) | −0.0530828 | + | 0.0199223i | −0.00208690 | + | 0.000783227i | −0.352418 | − | 0.935843i | \(-0.614640\pi\) |
0.350331 | + | 0.936626i | \(0.386069\pi\) | |||||||
\(648\) | 24.3396 | + | 9.13481i | 0.956151 | + | 0.358849i | ||||
\(649\) | 25.5542 | + | 22.3261i | 1.00309 | + | 0.876375i | ||||
\(650\) | −16.2921 | + | 4.49634i | −0.639030 | + | 0.176361i | ||||
\(651\) | 4.90223 | + | 7.42656i | 0.192133 | + | 0.291070i | ||||
\(652\) | −4.66878 | − | 1.28850i | −0.182844 | − | 0.0504617i | ||||
\(653\) | −3.33406 | − | 10.2612i | −0.130472 | − | 0.401551i | 0.864386 | − | 0.502828i | \(-0.167707\pi\) |
−0.994858 | + | 0.101277i | \(0.967707\pi\) | |||||||
\(654\) | 26.8344 | − | 49.8667i | 1.04931 | − | 1.94994i | ||||
\(655\) | 0.208050 | − | 4.63260i | 0.00812920 | − | 0.181011i | ||||
\(656\) | −8.38476 | + | 6.09188i | −0.327370 | + | 0.237848i | ||||
\(657\) | 31.0022 | − | 32.4257i | 1.20951 | − | 1.26505i | ||||
\(658\) | 18.0030 | + | 33.4552i | 0.701830 | + | 1.30422i | ||||
\(659\) | −29.8696 | + | 14.3844i | −1.16355 | + | 0.560337i | −0.913078 | − | 0.407786i | \(-0.866301\pi\) |
−0.250475 | + | 0.968123i | \(0.580587\pi\) | |||||||
\(660\) | 25.6282 | − | 15.3122i | 0.997577 | − | 0.596025i | ||||
\(661\) | −4.54281 | + | 33.5364i | −0.176695 | + | 1.30441i | 0.657714 | + | 0.753268i | \(0.271524\pi\) |
−0.834409 | + | 0.551146i | \(0.814191\pi\) | |||||||
\(662\) | −6.78546 | + | 29.7290i | −0.263724 | + | 1.15545i | ||||
\(663\) | 30.7664 | − | 5.58327i | 1.19487 | − | 0.216836i | ||||
\(664\) | −19.3705 | − | 14.0735i | −0.751723 | − | 0.546159i | ||||
\(665\) | −6.71006 | + | 8.41414i | −0.260205 | + | 0.326286i | ||||
\(666\) | 37.8796 | + | 22.6320i | 1.46781 | + | 0.876973i | ||||
\(667\) | 0.939419 | + | 0.0845493i | 0.0363745 | + | 0.00327376i | ||||
\(668\) | −1.59915 | − | 11.8054i | −0.0618730 | − | 0.456765i | ||||
\(669\) | −42.5817 | − | 53.3958i | −1.64630 | − | 2.06440i | ||||
\(670\) | −2.63301 | − | 58.6286i | −0.101722 | − | 2.26502i | ||||
\(671\) | −19.5293 | − | 9.40481i | −0.753920 | − | 0.363069i | ||||
\(672\) | −42.1146 | + | 3.79038i | −1.62460 | + | 0.146217i | ||||
\(673\) | 6.00505 | + | 26.3099i | 0.231478 | + | 1.01417i | 0.948415 | + | 0.317032i | \(0.102686\pi\) |
−0.716937 | + | 0.697138i | \(0.754457\pi\) | |||||||
\(674\) | 8.92324 | + | 20.8770i | 0.343710 | + | 0.804151i | ||||
\(675\) | 22.8860 | + | 53.5446i | 0.880884 | + | 2.06093i | ||||
\(676\) | 2.12204 | + | 9.29726i | 0.0816169 | + | 0.357587i | ||||
\(677\) | 32.4142 | − | 2.91733i | 1.24578 | − | 0.112122i | 0.552944 | − | 0.833219i | \(-0.313505\pi\) |
0.692834 | + | 0.721097i | \(0.256362\pi\) | |||||||
\(678\) | −100.123 | − | 48.2166i | −3.84519 | − | 1.85175i | ||||
\(679\) | −0.522979 | − | 11.6450i | −0.0200701 | − | 0.446895i | ||||
\(680\) | 18.1757 | + | 22.7916i | 0.697005 | + | 0.874017i | ||||
\(681\) | −4.76329 | − | 35.1640i | −0.182530 | − | 1.34749i | ||||
\(682\) | 5.69220 | + | 0.512308i | 0.217966 | + | 0.0196173i | ||||
\(683\) | 18.0799 | + | 10.8022i | 0.691808 | + | 0.413336i | 0.815323 | − | 0.579007i | \(-0.196560\pi\) |
−0.123515 | + | 0.992343i | \(0.539417\pi\) | |||||||
\(684\) | 5.44221 | − | 6.82432i | 0.208088 | − | 0.260934i | ||||
\(685\) | 2.30424 | + | 1.67413i | 0.0880404 | + | 0.0639651i | ||||
\(686\) | −32.1711 | + | 5.83820i | −1.22830 | + | 0.222903i | ||||
\(687\) | 11.8000 | − | 51.6991i | 0.450198 | − | 1.97245i | ||||
\(688\) | −3.21960 | + | 23.7680i | −0.122746 | + | 0.906148i | ||||
\(689\) | 0.639112 | − | 0.381852i | 0.0243482 | − | 0.0145474i | ||||
\(690\) | 4.68364 | − | 2.25552i | 0.178303 | − | 0.0858663i | ||||
\(691\) | 5.60161 | + | 10.4095i | 0.213095 | + | 0.395997i | 0.964595 | − | 0.263736i | \(-0.0849549\pi\) |
−0.751500 | + | 0.659733i | \(0.770669\pi\) | |||||||
\(692\) | −11.4735 | + | 12.0003i | −0.436156 | + | 0.456183i | ||||
\(693\) | −41.6216 | + | 30.2398i | −1.58107 | + | 1.14872i | ||||
\(694\) | −0.582840 | + | 12.9780i | −0.0221243 | + | 0.492636i | ||||
\(695\) | −15.9681 | + | 29.6738i | −0.605706 | + | 1.12559i | ||||
\(696\) | −5.12762 | − | 15.7812i | −0.194362 | − | 0.598185i | ||||
\(697\) | 10.6528 | + | 2.93999i | 0.403504 | + | 0.111360i | ||||
\(698\) | −19.0661 | − | 28.8839i | −0.721662 | − | 1.09327i | ||||
\(699\) | 22.5216 | − | 6.21556i | 0.851845 | − | 0.235094i | ||||
\(700\) | −10.1958 | − | 8.90776i | −0.385363 | − | 0.336682i | ||||
\(701\) | −39.9645 | − | 14.9989i | −1.50944 | − | 0.566502i | −0.546794 | − | 0.837267i | \(-0.684152\pi\) |
−0.962645 | + | 0.270765i | \(0.912723\pi\) | |||||||
\(702\) | −34.6676 | + | 13.0110i | −1.30844 | + | 0.491067i | ||||
\(703\) | −3.75119 | + | 3.27732i | −0.141479 | + | 0.123606i | ||||
\(704\) | 1.47820 | − | 2.23937i | 0.0557117 | − | 0.0843996i | ||||
\(705\) | −25.7728 | + | 79.3205i | −0.970660 | + | 2.98738i | ||||
\(706\) | 7.08872 | + | 7.41422i | 0.266787 | + | 0.279038i | ||||
\(707\) | −7.29153 | − | 1.32322i | −0.274226 | − | 0.0497648i | ||||
\(708\) | −14.0299 | + | 32.8246i | −0.527276 | + | 1.23362i | ||||
\(709\) | 36.1333 | 1.35702 | 0.678508 | − | 0.734593i | \(-0.262627\pi\) | ||||
0.678508 | + | 0.734593i | \(0.262627\pi\) | |||||||
\(710\) | −14.5240 | + | 44.2745i | −0.545075 | + | 1.66159i | ||||
\(711\) | −113.754 | −4.26610 | ||||||||
\(712\) | −6.04721 | + | 14.1481i | −0.226629 | + | 0.530224i | ||||
\(713\) | 0.328822 | + | 0.0596724i | 0.0123145 | + | 0.00223475i | ||||
\(714\) | 51.5467 | + | 53.9136i | 1.92909 | + | 2.01767i | ||||
\(715\) | 5.55187 | − | 17.0869i | 0.207628 | − | 0.639014i | ||||
\(716\) | −6.04178 | + | 9.15291i | −0.225792 | + | 0.342060i | ||||
\(717\) | 54.6644 | − | 47.7588i | 2.04148 | − | 1.78359i | ||||
\(718\) | 29.2449 | − | 10.9758i | 1.09141 | − | 0.409612i | ||||
\(719\) | 10.4002 | + | 3.90326i | 0.387862 | + | 0.145567i | 0.537685 | − | 0.843146i | \(-0.319299\pi\) |
−0.149823 | + | 0.988713i | \(0.547870\pi\) | |||||||
\(720\) | −79.6518 | − | 69.5896i | −2.96845 | − | 2.59345i | ||||
\(721\) | −1.22189 | + | 0.337219i | −0.0455054 | + | 0.0125587i | ||||
\(722\) | −16.5468 | − | 25.0673i | −0.615807 | − | 0.932908i | ||||
\(723\) | 65.5039 | + | 18.0779i | 2.43612 | + | 0.672326i | ||||
\(724\) | −6.76895 | − | 20.8327i | −0.251566 | − | 0.774240i | ||||
\(725\) | 7.60985 | − | 14.1415i | 0.282623 | − | 0.525201i | ||||
\(726\) | 0.506288 | − | 11.2734i | 0.0187901 | − | 0.418394i | ||||
\(727\) | 16.8023 | − | 12.2076i | 0.623162 | − | 0.452754i | −0.230863 | − | 0.972986i | \(-0.574155\pi\) |
0.854024 | + | 0.520233i | \(0.174155\pi\) | |||||||
\(728\) | −5.81793 | + | 6.08508i | −0.215627 | + | 0.225528i | ||||
\(729\) | −2.18956 | − | 4.06889i | −0.0810950 | − | 0.150700i | ||||
\(730\) | −33.6707 | + | 16.2149i | −1.24621 | + | 0.600142i | ||||
\(731\) | 21.9547 | − | 13.1173i | 0.812023 | − | 0.485161i | ||||
\(732\) | 3.06086 | − | 22.5962i | 0.113133 | − | 0.835180i | ||||
\(733\) | 0.945777 | − | 4.14372i | 0.0349331 | − | 0.153052i | −0.954453 | − | 0.298360i | \(-0.903560\pi\) |
0.989386 | + | 0.145308i | \(0.0464175\pi\) | |||||||
\(734\) | 11.6220 | − | 2.10908i | 0.428976 | − | 0.0778476i | ||||
\(735\) | −2.04232 | − | 1.48384i | −0.0753323 | − | 0.0547321i | ||||
\(736\) | −0.990119 | + | 1.24157i | −0.0364963 | + | 0.0457649i | ||||
\(737\) | 27.1874 | + | 16.2437i | 1.00146 | + | 0.598344i | ||||
\(738\) | −23.7817 | − | 2.14039i | −0.875415 | − | 0.0787887i | ||||
\(739\) | −4.75763 | − | 35.1222i | −0.175012 | − | 1.29199i | −0.838951 | − | 0.544206i | \(-0.816831\pi\) |
0.663939 | − | 0.747787i | \(-0.268883\pi\) | |||||||
\(740\) | −7.69631 | − | 9.65087i | −0.282922 | − | 0.354773i | ||||
\(741\) | −0.342176 | − | 7.61915i | −0.0125702 | − | 0.279896i | ||||
\(742\) | 1.60009 | + | 0.770561i | 0.0587410 | + | 0.0282882i | ||||
\(743\) | 9.79422 | − | 0.881496i | 0.359315 | − | 0.0323390i | 0.0914887 | − | 0.995806i | \(-0.470837\pi\) |
0.267826 | + | 0.963467i | \(0.413695\pi\) | |||||||
\(744\) | −1.30825 | − | 5.73181i | −0.0479627 | − | 0.210138i | ||||
\(745\) | −27.1908 | − | 63.6160i | −0.996194 | − | 2.33071i | ||||
\(746\) | −12.6630 | − | 29.6266i | −0.463626 | − | 1.08471i | ||||
\(747\) | −20.6122 | − | 90.3079i | −0.754161 | − | 3.30419i | ||||
\(748\) | 16.0227 | − | 1.44207i | 0.585848 | − | 0.0527272i | ||||
\(749\) | 40.7615 | + | 19.6297i | 1.48939 | + | 0.717253i | ||||
\(750\) | −0.119713 | − | 2.66563i | −0.00437132 | − | 0.0973349i | ||||
\(751\) | −1.41711 | − | 1.77699i | −0.0517109 | − | 0.0648434i | 0.755303 | − | 0.655375i | \(-0.227489\pi\) |
−0.807014 | + | 0.590532i | \(0.798918\pi\) | |||||||
\(752\) | −5.65785 | − | 41.7679i | −0.206321 | − | 1.52312i | ||||
\(753\) | −28.6835 | − | 2.58156i | −1.04529 | − | 0.0940774i | ||||
\(754\) | 8.76640 | + | 5.23768i | 0.319253 | + | 0.190745i | ||||
\(755\) | 17.9043 | − | 22.4513i | 0.651604 | − | 0.817085i | ||||
\(756\) | −23.9973 | − | 17.4351i | −0.872773 | − | 0.634107i | ||||
\(757\) | −11.1502 | + | 2.02347i | −0.405262 | + | 0.0735442i | −0.377360 | − | 0.926066i | \(-0.623168\pi\) |
−0.0279015 | + | 0.999611i | \(0.508882\pi\) | |||||||
\(758\) | −13.9755 | + | 61.2306i | −0.507613 | + | 2.22400i | ||||
\(759\) | −0.376565 | + | 2.77991i | −0.0136684 | + | 0.100904i | ||||
\(760\) | 6.10390 | − | 3.64691i | 0.221412 | − | 0.132287i | ||||
\(761\) | −22.5690 | + | 10.8686i | −0.818125 | + | 0.393988i | −0.795648 | − | 0.605759i | \(-0.792869\pi\) |
−0.0224768 | + | 0.999747i | \(0.507155\pi\) | |||||||
\(762\) | −13.8539 | − | 25.7449i | −0.501875 | − | 0.932639i | ||||
\(763\) | 18.8656 | − | 19.7318i | 0.682980 | − | 0.714341i | ||||
\(764\) | −12.2254 | + | 8.88229i | −0.442300 | + | 0.321350i | ||||
\(765\) | −5.05984 | + | 112.666i | −0.182939 | + | 4.07345i | ||||
\(766\) | 9.66767 | − | 17.9655i | 0.349307 | − | 0.649121i | ||||
\(767\) | 6.63849 | + | 20.4312i | 0.239702 | + | 0.737727i | ||||
\(768\) | 57.1911 | + | 15.7837i | 2.06371 | + | 0.569546i | ||||
\(769\) | 17.1281 | + | 25.9479i | 0.617654 | + | 0.935705i | 0.999932 | + | 0.0116582i | \(0.00371100\pi\) |
−0.382278 | + | 0.924047i | \(0.624860\pi\) | |||||||
\(770\) | 41.3131 | − | 11.4017i | 1.48882 | − | 0.410889i | ||||
\(771\) | 50.9008 | + | 44.4707i | 1.83315 | + | 1.60157i | ||||
\(772\) | −13.6818 | − | 5.13485i | −0.492417 | − | 0.184807i | ||||
\(773\) | −29.6525 | + | 11.1288i | −1.06652 | + | 0.400273i | −0.822069 | − | 0.569387i | \(-0.807181\pi\) |
−0.244455 | + | 0.969661i | \(0.578609\pi\) | |||||||
\(774\) | −41.6139 | + | 36.3570i | −1.49578 | + | 1.30683i | ||||
\(775\) | 3.13454 | − | 4.74863i | 0.112596 | − | 0.170576i | ||||
\(776\) | −2.37989 | + | 7.32455i | −0.0854330 | + | 0.262936i | ||||
\(777\) | 21.3438 | + | 22.3239i | 0.765706 | + | 0.800866i | ||||
\(778\) | −10.9032 | − | 1.97865i | −0.390900 | − | 0.0709379i | ||||
\(779\) | 1.05939 | − | 2.47857i | 0.0379566 | − | 0.0888039i | ||||
\(780\) | 18.9001 | 0.676732 | ||||||||
\(781\) | −15.6221 | − | 19.7034i | −0.559004 | − | 0.705043i | ||||
\(782\) | 2.80128 | 0.100174 | ||||||||
\(783\) | 13.8280 | − | 32.3523i | 0.494173 | − | 1.15618i | ||||
\(784\) | 1.25529 | + | 0.227801i | 0.0448317 | + | 0.00813575i | ||||
\(785\) | 1.90105 | + | 1.98834i | 0.0678513 | + | 0.0709669i | ||||
\(786\) | −2.42250 | + | 7.45568i | −0.0864076 | + | 0.265935i | ||||
\(787\) | −7.88684 | + | 11.9480i | −0.281135 | + | 0.425902i | −0.947515 | − | 0.319710i | \(-0.896414\pi\) |
0.666380 | + | 0.745612i | \(0.267843\pi\) | |||||||
\(788\) | −1.73875 | + | 1.51910i | −0.0619402 | + | 0.0541156i | ||||
\(789\) | −11.3054 | + | 4.24299i | −0.402483 | + | 0.151054i | ||||
\(790\) | 88.7192 | + | 33.2969i | 3.15649 | + | 1.18465i | ||||
\(791\) | −40.3438 | − | 35.2474i | −1.43446 | − | 1.25325i | ||||
\(792\) | 32.7655 | − | 9.04271i | 1.16427 | − | 0.321319i | ||||
\(793\) | −7.55974 | − | 11.4525i | −0.268454 | − | 0.406691i | ||||
\(794\) | 62.0195 | + | 17.1163i | 2.20099 | + | 0.607435i | ||||
\(795\) | 1.20478 | + | 3.70794i | 0.0427292 | + | 0.131507i | ||||
\(796\) | 0.0619265 | − | 0.115079i | 0.00219493 | − | 0.00407886i | ||||
\(797\) | −0.123002 | + | 2.73886i | −0.00435697 | + | 0.0970155i | 0.995636 | + | 0.0933196i | \(0.0297478\pi\) |
−0.999993 | + | 0.00369583i | \(0.998824\pi\) | |||||||
\(798\) | 14.7188 | − | 10.6938i | 0.521040 | − | 0.378558i | ||||
\(799\) | −31.0585 | + | 32.4846i | −1.09877 | + | 1.14922i | ||||
\(800\) | 12.8122 | + | 23.8090i | 0.452979 | + | 0.841775i | ||||
\(801\) | −53.6307 | + | 25.8272i | −1.89495 | + | 0.912559i | ||||
\(802\) | 39.2280 | − | 23.4377i | 1.38519 | − | 0.827612i | ||||
\(803\) | 2.70712 | − | 19.9848i | 0.0955323 | − | 0.705248i | ||||
\(804\) | −7.41362 | + | 32.4812i | −0.261458 | + | 1.14552i | ||||
\(805\) | 2.46579 | − | 0.447475i | 0.0869077 | − | 0.0157714i | ||||
\(806\) | 2.92718 | + | 2.12672i | 0.103106 | + | 0.0749106i | ||||
\(807\) | −18.2009 | + | 22.8232i | −0.640701 | + | 0.803413i | ||||
\(808\) | 4.20306 | + | 2.51121i | 0.147863 | + | 0.0883441i | ||||
\(809\) | −17.5363 | − | 1.57829i | −0.616543 | − | 0.0554898i | −0.223034 | − | 0.974811i | \(-0.571596\pi\) |
−0.393509 | + | 0.919321i | \(0.628739\pi\) | |||||||
\(810\) | −11.2467 | − | 83.0266i | −0.395169 | − | 2.91726i | ||||
\(811\) | 0.719170 | + | 0.901811i | 0.0252535 | + | 0.0316669i | 0.794298 | − | 0.607528i | \(-0.207839\pi\) |
−0.769044 | + | 0.639195i | \(0.779268\pi\) | |||||||
\(812\) | 0.367010 | + | 8.17212i | 0.0128795 | + | 0.286785i | ||||
\(813\) | 6.13213 | + | 2.95308i | 0.215063 | + | 0.103569i | ||||
\(814\) | 19.7566 | − | 1.77813i | 0.692469 | − | 0.0623233i | ||||
\(815\) | −3.39649 | − | 14.8810i | −0.118974 | − | 0.521259i | ||||
\(816\) | −32.5243 | − | 76.0944i | −1.13858 | − | 2.66384i | ||||
\(817\) | −2.45168 | − | 5.73600i | −0.0857736 | − | 0.200677i | ||||
\(818\) | −7.90877 | − | 34.6506i | −0.276524 | − | 1.21153i | ||||
\(819\) | −32.4391 | + | 2.91957i | −1.13351 | + | 0.102018i | ||||
\(820\) | 6.01818 | + | 2.89820i | 0.210164 | + | 0.101210i | ||||
\(821\) | 0.933970 | + | 20.7965i | 0.0325958 | + | 0.725801i | 0.947045 | + | 0.321101i | \(0.104053\pi\) |
−0.914449 | + | 0.404701i | \(0.867376\pi\) | |||||||
\(822\) | −3.00205 | − | 3.76445i | −0.104708 | − | 0.131300i | ||||
\(823\) | 4.45278 | + | 32.8717i | 0.155214 | + | 1.14584i | 0.886153 | + | 0.463394i | \(0.153368\pi\) |
−0.730938 | + | 0.682443i | \(0.760917\pi\) | |||||||
\(824\) | 0.834094 | + | 0.0750698i | 0.0290570 | + | 0.00261518i | ||||
\(825\) | 41.0016 | + | 24.4973i | 1.42749 | + | 0.852888i | ||||
\(826\) | −31.9512 | + | 40.0655i | −1.11172 | + | 1.39406i | ||||
\(827\) | −27.7940 | − | 20.1935i | −0.966491 | − | 0.702197i | −0.0118415 | − | 0.999930i | \(-0.503769\pi\) |
−0.954649 | + | 0.297733i | \(0.903769\pi\) | |||||||
\(828\) | −1.99989 | + | 0.362926i | −0.0695009 | + | 0.0126126i | ||||
\(829\) | −10.2518 | + | 44.9161i | −0.356060 | + | 1.56000i | 0.406850 | + | 0.913495i | \(0.366627\pi\) |
−0.762909 | + | 0.646505i | \(0.776230\pi\) | |||||||
\(830\) | −10.3581 | + | 76.4667i | −0.359535 | + | 2.65420i | ||||
\(831\) | −37.7755 | + | 22.5698i | −1.31042 | + | 0.782938i | ||||
\(832\) | 1.53049 | − | 0.737047i | 0.0530603 | − | 0.0255525i | ||||
\(833\) | −0.644626 | − | 1.19792i | −0.0223350 | − | 0.0415054i | ||||
\(834\) | 39.3669 | − | 41.1746i | 1.36317 | − | 1.42576i | ||||
\(835\) | 30.3741 | − | 22.0681i | 1.05114 | − | 0.763697i | ||||
\(836\) | 0.176046 | − | 3.91996i | 0.00608866 | − | 0.135575i | ||||
\(837\) | 5.90722 | − | 10.9775i | 0.204183 | − | 0.379436i | ||||
\(838\) | −15.9582 | − | 49.1144i | −0.551268 | − | 1.69663i | ||||
\(839\) | −3.44340 | − | 0.950317i | −0.118879 | − | 0.0328086i | 0.206091 | − | 0.978533i | \(-0.433926\pi\) |
−0.324970 | + | 0.945724i | \(0.605354\pi\) | |||||||
\(840\) | −24.2876 | − | 36.7942i | −0.838003 | − | 1.26952i | ||||
\(841\) | 18.6016 | − | 5.13370i | 0.641433 | − | 0.177024i | ||||
\(842\) | −21.2554 | − | 18.5703i | −0.732510 | − | 0.639974i | ||||
\(843\) | 74.1726 | + | 27.8374i | 2.55464 | + | 0.958772i | ||||
\(844\) | −6.87661 | + | 2.58083i | −0.236703 | + | 0.0888360i | ||||
\(845\) | −22.6326 | + | 19.7735i | −0.778586 | + | 0.680230i | ||||
\(846\) | 53.4962 | − | 81.0432i | 1.83924 | − | 2.78632i | ||||
\(847\) | 1.68110 | − | 5.17388i | 0.0577631 | − | 0.177777i | ||||
\(848\) | −1.36162 | − | 1.42414i | −0.0467582 | − | 0.0489052i | ||||
\(849\) | −24.7004 | − | 4.48246i | −0.847716 | − | 0.153838i | ||||
\(850\) | 18.7449 | − | 43.8560i | 0.642946 | − | 1.50425i | ||||
\(851\) | 1.15992 | 0.0397616 | ||||||||
\(852\) | 14.6347 | − | 22.0350i | 0.501375 | − | 0.754907i | ||||
\(853\) | 12.1584 | 0.416297 | 0.208148 | − | 0.978097i | \(-0.433256\pi\) | ||||
0.208148 | + | 0.978097i | \(0.433256\pi\) | |||||||
\(854\) | 12.8655 | − | 30.1004i | 0.440249 | − | 1.03001i | ||||
\(855\) | 27.0661 | + | 4.91178i | 0.925642 | + | 0.167979i | ||||
\(856\) | −20.6564 | − | 21.6049i | −0.706020 | − | 0.738439i | ||||
\(857\) | −2.37526 | + | 7.31031i | −0.0811375 | + | 0.249716i | −0.983394 | − | 0.181485i | \(-0.941910\pi\) |
0.902256 | + | 0.431200i | \(0.141910\pi\) | |||||||
\(858\) | −16.7319 | + | 25.3478i | −0.571218 | + | 0.865358i | ||||
\(859\) | −18.1256 | + | 15.8358i | −0.618437 | + | 0.540312i | −0.909134 | − | 0.416503i | \(-0.863256\pi\) |
0.290697 | + | 0.956815i | \(0.406113\pi\) | |||||||
\(860\) | 14.4727 | − | 5.43169i | 0.493515 | − | 0.185219i | ||||
\(861\) | −15.6474 | − | 5.87257i | −0.533262 | − | 0.200137i | ||||
\(862\) | 5.22090 | + | 4.56137i | 0.177825 | + | 0.155361i | ||||
\(863\) | 33.3680 | − | 9.20897i | 1.13586 | − | 0.313477i | 0.352967 | − | 0.935636i | \(-0.385173\pi\) |
0.782891 | + | 0.622159i | \(0.213744\pi\) | |||||||
\(864\) | 32.6330 | + | 49.4369i | 1.11020 | + | 1.68188i | ||||
\(865\) | −50.4375 | − | 13.9199i | −1.71493 | − | 0.473290i | ||||
\(866\) | 20.6668 | + | 63.6059i | 0.702287 | + | 2.16142i | ||||
\(867\) | −16.8040 | + | 31.2271i | −0.570695 | + | 1.06053i | ||||
\(868\) | −0.130036 | + | 2.89548i | −0.00441371 | + | 0.0982789i | ||||
\(869\) | −41.3710 | + | 30.0578i | −1.40342 | + | 1.01964i | ||||
\(870\) | −36.9562 | + | 38.6532i | −1.25293 | + | 1.31047i | ||||
\(871\) | 9.50102 | + | 17.6559i | 0.321930 | + | 0.598246i | ||||
\(872\) | −16.2502 | + | 7.82568i | −0.550301 | + | 0.265011i | ||||
\(873\) | −25.5775 | + | 15.2818i | −0.865667 | + | 0.517212i | ||||
\(874\) | 0.0917168 | − | 0.677080i | 0.00310237 | − | 0.0229026i | ||||
\(875\) | 0.286237 | − | 1.25409i | 0.00967658 | − | 0.0423959i | ||||
\(876\) | 20.8746 | − | 3.78819i | 0.705289 | − | 0.127991i | ||||
\(877\) | 34.5337 | + | 25.0902i | 1.16612 | + | 0.847237i | 0.990539 | − | 0.137228i | \(-0.0438194\pi\) |
0.175582 | + | 0.984465i | \(0.443819\pi\) | |||||||
\(878\) | 6.28638 | − | 7.88287i | 0.212155 | − | 0.266034i | ||||
\(879\) | 42.3753 | + | 25.3181i | 1.42928 | + | 0.853957i | ||||
\(880\) | −47.3566 | − | 4.26217i | −1.59639 | − | 0.143678i | ||||
\(881\) | 1.23422 | + | 9.11140i | 0.0415820 | + | 0.306971i | 0.999782 | + | 0.0208721i | \(0.00664427\pi\) |
−0.958200 | + | 0.286099i | \(0.907641\pi\) | |||||||
\(882\) | 1.83261 | + | 2.29802i | 0.0617071 | + | 0.0773782i | ||||
\(883\) | 0.0396267 | + | 0.882357i | 0.00133354 | + | 0.0296937i | 0.999550 | − | 0.0300130i | \(-0.00955488\pi\) |
−0.998216 | + | 0.0597067i | \(0.980983\pi\) | |||||||
\(884\) | 9.17607 | + | 4.41896i | 0.308625 | + | 0.148626i | ||||
\(885\) | −112.047 | + | 10.0844i | −3.76640 | + | 0.338982i | ||||
\(886\) | 4.73812 | + | 20.7590i | 0.159180 | + | 0.697414i | ||||
\(887\) | −9.15354 | − | 21.4158i | −0.307346 | − | 0.719071i | 0.692652 | − | 0.721272i | \(-0.256442\pi\) |
−0.999998 | + | 0.00220105i | \(0.999299\pi\) | |||||||
\(888\) | −8.01994 | − | 18.7636i | −0.269132 | − | 0.629665i | ||||
\(889\) | −3.13620 | − | 13.7406i | −0.105185 | − | 0.460845i | ||||
\(890\) | 49.3878 | − | 4.44498i | 1.65548 | − | 0.148996i | ||||
\(891\) | 40.7362 | + | 19.6175i | 1.36472 | + | 0.657212i | ||||
\(892\) | −0.998009 | − | 22.2224i | −0.0334158 | − | 0.744061i | ||||
\(893\) | 6.83476 | + | 8.57052i | 0.228717 | + | 0.286802i | ||||
\(894\) | 15.6993 | + | 115.897i | 0.525063 | + | 3.87617i | ||||
\(895\) | −34.4238 | − | 3.09820i | −1.15066 | − | 0.103561i | ||||
\(896\) | 26.8632 | + | 16.0500i | 0.897438 | + | 0.536194i | ||||
\(897\) | −1.10731 | + | 1.38852i | −0.0369720 | + | 0.0463614i | ||||
\(898\) | −38.3537 | − | 27.8656i | −1.27988 | − | 0.929887i | ||||
\(899\) | −3.38265 | + | 0.613860i | −0.112818 | + | 0.0204734i | ||||
\(900\) | −7.70051 | + | 33.7381i | −0.256684 | + | 1.12460i | ||||
\(901\) | −0.282013 | + | 2.08190i | −0.00939522 | + | 0.0693583i | ||||
\(902\) | −9.21470 | + | 5.50553i | −0.306816 | + | 0.183314i | ||||
\(903\) | −34.8479 | + | 16.7818i | −1.15966 | + | 0.558465i | ||||
\(904\) | 16.7724 | + | 31.1683i | 0.557842 | + | 1.03664i | ||||
\(905\) | 47.7059 | − | 49.8965i | 1.58580 | − | 1.65862i | ||||
\(906\) | −39.2739 | + | 28.5341i | −1.30479 | + | 0.947983i | ||||
\(907\) | −1.53521 | + | 34.1840i | −0.0509757 | + | 1.13506i | 0.796641 | + | 0.604453i | \(0.206608\pi\) |
−0.847617 | + | 0.530609i | \(0.821963\pi\) | |||||||
\(908\) | 5.47696 | − | 10.1779i | 0.181759 | − | 0.337766i | ||||
\(909\) | 5.85332 | + | 18.0147i | 0.194143 | + | 0.597509i | ||||
\(910\) | 26.1546 | + | 7.21821i | 0.867016 | + | 0.239281i | ||||
\(911\) | 8.26039 | + | 12.5140i | 0.273679 | + | 0.414606i | 0.945256 | − | 0.326328i | \(-0.105812\pi\) |
−0.671577 | + | 0.740934i | \(0.734383\pi\) | |||||||
\(912\) | −19.4572 | + | 5.36984i | −0.644291 | + | 0.177813i | ||||
\(913\) | −31.3590 | − | 27.3975i | −1.03783 | − | 0.906727i | ||||
\(914\) | −37.7503 | − | 14.1679i | −1.24867 | − | 0.468634i | ||||
\(915\) | 67.2798 | − | 25.2505i | 2.22420 | − | 0.834757i | ||||
\(916\) | 13.0071 | − | 11.3640i | 0.429768 | − | 0.375477i | ||||
\(917\) | −2.08195 | + | 3.15402i | −0.0687520 | + | 0.104155i | ||||
\(918\) | 32.2900 | − | 99.3784i | 1.06573 | − | 3.27997i | ||||
\(919\) | 30.1263 | + | 31.5096i | 0.993774 | + | 1.03941i | 0.999223 | + | 0.0394211i | \(0.0125514\pi\) |
−0.00544856 | + | 0.999985i | \(0.501734\pi\) | |||||||
\(920\) | −1.62912 | − | 0.295641i | −0.0537104 | − | 0.00974700i | ||||
\(921\) | −0.774683 | + | 1.81246i | −0.0255267 | + | 0.0597226i | ||||
\(922\) | 2.11234 | 0.0695662 | ||||||||
\(923\) | −2.09230 | − | 15.7808i | −0.0688690 | − | 0.519431i | ||||
\(924\) | −24.3299 | −0.800396 | ||||||||
\(925\) | 7.76168 | − | 18.1594i | 0.255203 | − | 0.597076i | ||||
\(926\) | 39.9698 | + | 7.25346i | 1.31349 | + | 0.238363i | ||||
\(927\) | 2.23900 | + | 2.34181i | 0.0735383 | + | 0.0769150i | ||||
\(928\) | 5.04820 | − | 15.5368i | 0.165715 | − | 0.510019i | ||||
\(929\) | 20.1310 | − | 30.4972i | 0.660478 | − | 1.00058i | −0.337759 | − | 0.941232i | \(-0.609669\pi\) |
0.998237 | − | 0.0593487i | \(-0.0189024\pi\) | |||||||
\(930\) | −14.2689 | + | 12.4664i | −0.467897 | + | 0.408789i | ||||
\(931\) | −0.310647 | + | 0.116588i | −0.0101810 | + | 0.00382101i | ||||
\(932\) | 7.12456 | + | 2.67389i | 0.233373 | + | 0.0875863i | ||||
\(933\) | −1.23520 | − | 1.07916i | −0.0404385 | − | 0.0353301i | ||||
\(934\) | −58.0994 | + | 16.0344i | −1.90107 | + | 0.524662i | ||||
\(935\) | 27.9302 | + | 42.3124i | 0.913415 | + | 1.38376i | ||||
\(936\) | 20.7433 | + | 5.72478i | 0.678015 | + | 0.187120i | ||||
\(937\) | 2.01751 | + | 6.20927i | 0.0659093 | + | 0.202848i | 0.978588 | − | 0.205831i | \(-0.0659896\pi\) |
−0.912678 | + | 0.408679i | \(0.865990\pi\) | |||||||
\(938\) | −22.6642 | + | 42.1172i | −0.740014 | + | 1.37518i | ||||
\(939\) | −1.09636 | + | 24.4123i | −0.0357783 | + | 0.796666i | ||||
\(940\) | −21.9772 | + | 15.9673i | −0.716816 | + | 0.520797i | ||||
\(941\) | 23.1583 | − | 24.2217i | 0.754938 | − | 0.789604i | −0.227976 | − | 0.973667i | \(-0.573211\pi\) |
0.982914 | + | 0.184063i | \(0.0589251\pi\) | |||||||
\(942\) | −2.20370 | − | 4.09516i | −0.0718004 | − | 0.133427i | ||||
\(943\) | −0.565511 | + | 0.272336i | −0.0184156 | + | 0.00886847i | ||||
\(944\) | 48.8064 | − | 29.1604i | 1.58851 | − | 0.949092i | ||||
\(945\) | 12.5482 | − | 92.6344i | 0.408192 | − | 3.01340i | ||||
\(946\) | −5.52772 | + | 24.2185i | −0.179722 | + | 0.787413i | ||||
\(947\) | −5.33901 | + | 0.968888i | −0.173495 | + | 0.0314846i | −0.264609 | − | 0.964356i | \(-0.585243\pi\) |
0.0911143 | + | 0.995840i | \(0.470957\pi\) | |||||||
\(948\) | −43.5214 | − | 31.6202i | −1.41351 | − | 1.02698i | ||||
\(949\) | 7.96044 | − | 9.98207i | 0.258407 | − | 0.324032i | ||||
\(950\) | −9.98642 | − | 5.96661i | −0.324002 | − | 0.193582i | ||||
\(951\) | 35.0771 | + | 3.15699i | 1.13745 | + | 0.102372i | ||||
\(952\) | −3.18903 | − | 23.5423i | −0.103357 | − | 0.763011i | ||||
\(953\) | 15.9369 | + | 19.9843i | 0.516248 | + | 0.647355i | 0.969808 | − | 0.243871i | \(-0.0784174\pi\) |
−0.453559 | + | 0.891226i | \(0.649846\pi\) | |||||||
\(954\) | −0.203660 | − | 4.53483i | −0.00659372 | − | 0.146821i | ||||
\(955\) | −42.9074 | − | 20.6631i | −1.38845 | − | 0.668643i | ||||
\(956\) | 23.5478 | − | 2.11934i | 0.761591 | − | 0.0685445i | ||||
\(957\) | −6.42165 | − | 28.1351i | −0.207583 | − | 0.909479i | ||||
\(958\) | −10.6289 | − | 24.8676i | −0.343405 | − | 0.803437i | ||||
\(959\) | −0.912276 | − | 2.13438i | −0.0294589 | − | 0.0689226i | ||||
\(960\) | 1.97950 | + | 8.67277i | 0.0638882 | + | 0.279912i | ||||
\(961\) | 29.6620 | − | 2.66963i | 0.956839 | − | 0.0861171i | ||||
\(962\) | 11.3145 | + | 5.44876i | 0.364793 | + | 0.175675i | ||||
\(963\) | −5.18814 | − | 115.523i | −0.167185 | − | 3.72267i | ||||
\(964\) | 13.7997 | + | 17.3043i | 0.444460 | + | 0.557335i | ||||
\(965\) | −6.18206 | − | 45.6378i | −0.199008 | − | 1.46913i | ||||
\(966\) | −4.21948 | − | 0.379760i | −0.135759 | − | 0.0122186i | ||||
\(967\) | −41.0614 | − | 24.5330i | −1.32045 | − | 0.788930i | −0.332407 | − | 0.943136i | \(-0.607861\pi\) |
−0.988039 | + | 0.154206i | \(0.950718\pi\) | |||||||
\(968\) | −2.24097 | + | 2.81008i | −0.0720274 | + | 0.0903195i | ||||
\(969\) | 17.4120 | + | 12.6505i | 0.559353 | + | 0.406394i | ||||
\(970\) | 24.4216 | − | 4.43187i | 0.784131 | − | 0.142299i | ||||
\(971\) | −1.54162 | + | 6.75430i | −0.0494731 | + | 0.216756i | −0.993622 | − | 0.112764i | \(-0.964030\pi\) |
0.944149 | + | 0.329520i | \(0.106887\pi\) | |||||||
\(972\) | −1.78528 | + | 13.1795i | −0.0572629 | + | 0.422732i | ||||
\(973\) | 23.5747 | − | 14.0853i | 0.755772 | − | 0.451553i | ||||
\(974\) | −9.79066 | + | 4.71494i | −0.313713 | + | 0.151076i | ||||
\(975\) | 14.3286 | + | 26.6270i | 0.458883 | + | 0.852748i | ||||
\(976\) | −25.0974 | + | 26.2499i | −0.803349 | + | 0.840237i | ||||
\(977\) | 33.1377 | − | 24.0760i | 1.06017 | − | 0.770259i | 0.0860504 | − | 0.996291i | \(-0.472575\pi\) |
0.974120 | + | 0.226032i | \(0.0725754\pi\) | |||||||
\(978\) | −1.15767 | + | 25.7775i | −0.0370181 | + | 0.824273i | ||||
\(979\) | −12.6805 | + | 23.5642i | −0.405269 | + | 0.753116i | ||||
\(980\) | −0.254088 | − | 0.782003i | −0.00811654 | − | 0.0249802i | ||||
\(981\) | −67.2633 | − | 18.5635i | −2.14755 | − | 0.592687i | ||||
\(982\) | −5.27025 | − | 7.98409i | −0.168181 | − | 0.254783i | ||||
\(983\) | −4.33613 | + | 1.19669i | −0.138301 | + | 0.0381686i | −0.334502 | − | 0.942395i | \(-0.608568\pi\) |
0.196201 | + | 0.980564i | \(0.437139\pi\) | |||||||
\(984\) | 8.31553 | + | 7.26506i | 0.265089 | + | 0.231602i | ||||
\(985\) | −6.81241 | − | 2.55674i | −0.217061 | − | 0.0814645i | ||||
\(986\) | −26.9798 | + | 10.1257i | −0.859210 | + | 0.322467i | ||||
\(987\) | 51.1861 | − | 44.7200i | 1.62927 | − | 1.42345i | ||||
\(988\) | 1.36851 | − | 2.07321i | 0.0435382 | − | 0.0659576i | ||||
\(989\) | −0.448872 | + | 1.38149i | −0.0142733 | + | 0.0439287i | ||||
\(990\) | −75.7026 | − | 79.1787i | −2.40599 | − | 2.51646i | ||||
\(991\) | 11.7575 | + | 2.13368i | 0.373491 | + | 0.0677786i | 0.362057 | − | 0.932156i | \(-0.382075\pi\) |
0.0114339 | + | 0.999935i | \(0.496360\pi\) | |||||||
\(992\) | 2.27489 | − | 5.32236i | 0.0722277 | − | 0.168985i | ||||
\(993\) | 54.5554 | 1.73126 | ||||||||
\(994\) | 28.6674 | − | 24.9036i | 0.909275 | − | 0.789894i | ||||
\(995\) | 0.411846 | 0.0130564 | ||||||||
\(996\) | 17.2168 | − | 40.2808i | 0.545537 | − | 1.27635i | ||||
\(997\) | −33.7729 | − | 6.12889i | −1.06960 | − | 0.194104i | −0.384922 | − | 0.922949i | \(-0.625772\pi\) |
−0.684678 | + | 0.728845i | \(0.740057\pi\) | |||||||
\(998\) | −29.6520 | − | 31.0135i | −0.938616 | − | 0.981716i | ||||
\(999\) | 13.3703 | − | 41.1494i | 0.423016 | − | 1.30191i |
(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 | 71.2.g.a.15.4 | ✓ | 120 | |
3.2 | odd | 2 | 639.2.v.a.370.2 | 120 | |||
71.19 | even | 35 | inner | 71.2.g.a.19.4 | yes | 120 | |
71.27 | even | 35 | 5041.2.a.s.1.12 | 60 | |||
71.44 | odd | 70 | 5041.2.a.t.1.12 | 60 | |||
213.161 | odd | 70 | 639.2.v.a.19.2 | 120 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
71.2.g.a.15.4 | ✓ | 120 | 1.1 | even | 1 | trivial | |
71.2.g.a.19.4 | yes | 120 | 71.19 | even | 35 | inner | |
639.2.v.a.19.2 | 120 | 213.161 | odd | 70 | |||
639.2.v.a.370.2 | 120 | 3.2 | odd | 2 | |||
5041.2.a.s.1.12 | 60 | 71.27 | even | 35 | |||
5041.2.a.t.1.12 | 60 | 71.44 | odd | 70 |