Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [403,2,Mod(16,403)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(403, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([10, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("403.16");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 403 = 13 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 403.bl (of order \(15\), degree \(8\), 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: | \(3.21797120146\) |
Analytic rank: | \(0\) |
Dimension: | \(280\) |
Relative dimension: | \(35\) over \(\Q(\zeta_{15})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 16.13 | ||
Character | \(\chi\) | \(=\) | 403.16 |
Dual form | 403.2.bl.b.126.13 |
$q$-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 \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).
\(n\) | \(249\) | \(313\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{1}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.657025 | − | 0.292526i | −0.464587 | − | 0.206847i | 0.161075 | − | 0.986942i | \(-0.448504\pi\) |
−0.625661 | + | 0.780095i | \(0.715171\pi\) | |||||||
\(3\) | −0.0382007 | + | 0.363455i | −0.0220552 | + | 0.209841i | 0.977944 | + | 0.208866i | \(0.0669771\pi\) |
−1.00000 | 0.000975363i | \(0.999690\pi\) | ||||||||
\(4\) | −0.992151 | − | 1.10190i | −0.496076 | − | 0.550948i | ||||
\(5\) | −0.138184 | −0.0617977 | −0.0308988 | − | 0.999523i | \(-0.509837\pi\) | ||||
−0.0308988 | + | 0.999523i | \(0.509837\pi\) | |||||||
\(6\) | 0.131419 | − | 0.227624i | 0.0536516 | − | 0.0929273i | ||||
\(7\) | −1.74853 | − | 1.94194i | −0.660881 | − | 0.733983i | 0.315765 | − | 0.948837i | \(-0.397739\pi\) |
−0.976646 | + | 0.214855i | \(0.931072\pi\) | |||||||
\(8\) | 0.774026 | + | 2.38221i | 0.273660 | + | 0.842238i | ||||
\(9\) | 2.80380 | + | 0.595967i | 0.934601 | + | 0.198656i | ||||
\(10\) | 0.0907902 | + | 0.0404224i | 0.0287104 | + | 0.0127827i | ||||
\(11\) | −2.01171 | + | 0.427602i | −0.606553 | + | 0.128927i | −0.500942 | − | 0.865481i | \(-0.667013\pi\) |
−0.105611 | + | 0.994408i | \(0.533680\pi\) | |||||||
\(12\) | 0.438391 | − | 0.318509i | 0.126552 | − | 0.0919458i | ||||
\(13\) | −2.66374 | − | 2.42992i | −0.738788 | − | 0.673938i | ||||
\(14\) | 0.580758 | + | 1.78739i | 0.155214 | + | 0.477700i | ||||
\(15\) | 0.00527872 | − | 0.0502236i | 0.00136296 | − | 0.0129677i | ||||
\(16\) | −0.121675 | + | 1.15766i | −0.0304186 | + | 0.289414i | ||||
\(17\) | −4.54556 | − | 0.966188i | −1.10246 | − | 0.234335i | −0.379477 | − | 0.925201i | \(-0.623896\pi\) |
−0.722983 | + | 0.690866i | \(0.757229\pi\) | |||||||
\(18\) | −1.66783 | − | 1.21175i | −0.393112 | − | 0.285612i | ||||
\(19\) | −0.0199969 | − | 0.190257i | −0.00458759 | − | 0.0436480i | 0.991989 | − | 0.126327i | \(-0.0403190\pi\) |
−0.996576 | + | 0.0826793i | \(0.973652\pi\) | |||||||
\(20\) | 0.137099 | + | 0.152264i | 0.0306563 | + | 0.0340473i | ||||
\(21\) | 0.772602 | − | 0.561328i | 0.168596 | − | 0.122492i | ||||
\(22\) | 1.44683 | + | 0.307533i | 0.308465 | + | 0.0655662i | ||||
\(23\) | −5.22877 | + | 5.80714i | −1.09027 | + | 1.21087i | −0.114194 | + | 0.993458i | \(0.536429\pi\) |
−0.976080 | + | 0.217413i | \(0.930238\pi\) | |||||||
\(24\) | −0.895395 | + | 0.190322i | −0.182772 | + | 0.0388493i | ||||
\(25\) | −4.98091 | −0.996181 | ||||||||
\(26\) | 1.03933 | + | 2.37573i | 0.203829 | + | 0.465919i | ||||
\(27\) | −0.662512 | + | 2.03900i | −0.127500 | + | 0.392406i | ||||
\(28\) | −0.405008 | + | 3.85339i | −0.0765392 | + | 0.728222i | ||||
\(29\) | −0.320281 | − | 0.142598i | −0.0594747 | − | 0.0264798i | 0.376784 | − | 0.926301i | \(-0.377030\pi\) |
−0.436258 | + | 0.899821i | \(0.643697\pi\) | |||||||
\(30\) | −0.0181600 | + | 0.0314540i | −0.00331554 | + | 0.00574269i | ||||
\(31\) | −1.53719 | − | 5.35136i | −0.276088 | − | 0.961132i | ||||
\(32\) | 2.92339 | − | 5.06346i | 0.516787 | − | 0.895102i | ||||
\(33\) | −0.0785655 | − | 0.747501i | −0.0136765 | − | 0.130123i | ||||
\(34\) | 2.70391 | + | 1.96450i | 0.463717 | + | 0.336910i | ||||
\(35\) | 0.241618 | + | 0.268344i | 0.0408409 | + | 0.0453584i | ||||
\(36\) | −2.12510 | − | 3.68079i | −0.354184 | − | 0.613465i | ||||
\(37\) | −3.98719 | − | 6.90601i | −0.655489 | − | 1.13534i | −0.981771 | − | 0.190068i | \(-0.939129\pi\) |
0.326282 | − | 0.945273i | \(-0.394204\pi\) | |||||||
\(38\) | −0.0425168 | + | 0.130853i | −0.00689714 | + | 0.0212272i | ||||
\(39\) | 0.984923 | − | 0.875326i | 0.157714 | − | 0.140164i | ||||
\(40\) | −0.106958 | − | 0.329183i | −0.0169115 | − | 0.0520483i | ||||
\(41\) | −0.827375 | − | 0.368371i | −0.129214 | − | 0.0575299i | 0.341111 | − | 0.940023i | \(-0.389197\pi\) |
−0.470325 | + | 0.882493i | \(0.655863\pi\) | |||||||
\(42\) | −0.671822 | + | 0.142800i | −0.103664 | + | 0.0220345i | ||||
\(43\) | 1.06821 | + | 10.1634i | 0.162901 | + | 1.54990i | 0.704770 | + | 0.709435i | \(0.251050\pi\) |
−0.541870 | + | 0.840463i | \(0.682283\pi\) | |||||||
\(44\) | 2.46709 | + | 1.79245i | 0.371928 | + | 0.270222i | ||||
\(45\) | −0.387440 | − | 0.0823529i | −0.0577562 | − | 0.0122764i | ||||
\(46\) | 5.13417 | − | 2.28588i | 0.756992 | − | 0.337035i | ||||
\(47\) | 2.99692 | + | 2.17739i | 0.437145 | + | 0.317605i | 0.784500 | − | 0.620129i | \(-0.212920\pi\) |
−0.347354 | + | 0.937734i | \(0.612920\pi\) | |||||||
\(48\) | −0.416108 | − | 0.0884465i | −0.0600600 | − | 0.0127662i | ||||
\(49\) | 0.0179304 | − | 0.170597i | 0.00256149 | − | 0.0243710i | ||||
\(50\) | 3.27258 | + | 1.45705i | 0.462812 | + | 0.206057i | ||||
\(51\) | 0.524810 | − | 1.61520i | 0.0734881 | − | 0.226173i | ||||
\(52\) | −0.0346822 | + | 5.34601i | −0.00480956 | + | 0.741358i | ||||
\(53\) | −2.65330 | − | 8.16603i | −0.364459 | − | 1.12169i | −0.950319 | − | 0.311278i | \(-0.899243\pi\) |
0.585860 | − | 0.810413i | \(-0.300757\pi\) | |||||||
\(54\) | 1.03175 | − | 1.14587i | 0.140403 | − | 0.155933i | ||||
\(55\) | 0.277986 | − | 0.0590877i | 0.0374836 | − | 0.00796738i | ||||
\(56\) | 3.27269 | − | 5.66847i | 0.437332 | − | 0.757481i | ||||
\(57\) | 0.0699139 | 0.00926033 | ||||||||
\(58\) | 0.168719 | + | 0.187381i | 0.0221539 | + | 0.0246044i | ||||
\(59\) | −3.95013 | + | 1.75871i | −0.514263 | + | 0.228965i | −0.647424 | − | 0.762130i | \(-0.724154\pi\) |
0.133161 | + | 0.991094i | \(0.457487\pi\) | |||||||
\(60\) | −0.0605785 | + | 0.0440129i | −0.00782065 | + | 0.00568203i | ||||
\(61\) | −1.43052 | + | 2.47773i | −0.183159 | + | 0.317240i | −0.942955 | − | 0.332922i | \(-0.891966\pi\) |
0.759796 | + | 0.650162i | \(0.225299\pi\) | |||||||
\(62\) | −0.555441 | + | 3.96564i | −0.0705410 | + | 0.503637i | ||||
\(63\) | −3.74520 | − | 6.48687i | −0.471850 | − | 0.817269i | ||||
\(64\) | −1.51849 | + | 1.10325i | −0.189811 | + | 0.137906i | ||||
\(65\) | 0.368086 | + | 0.335775i | 0.0456554 | + | 0.0416478i | ||||
\(66\) | −0.167044 | + | 0.514109i | −0.0205617 | + | 0.0632824i | ||||
\(67\) | 0.624921 | + | 1.08239i | 0.0763462 | + | 0.132236i | 0.901671 | − | 0.432423i | \(-0.142341\pi\) |
−0.825325 | + | 0.564658i | \(0.809008\pi\) | |||||||
\(68\) | 3.44524 | + | 5.96734i | 0.417797 | + | 0.723646i | ||||
\(69\) | −1.91089 | − | 2.12226i | −0.230044 | − | 0.255490i | ||||
\(70\) | −0.0802514 | − | 0.246988i | −0.00959187 | − | 0.0295208i | ||||
\(71\) | 11.2909 | + | 2.39996i | 1.33998 | + | 0.284822i | 0.821472 | − | 0.570248i | \(-0.193153\pi\) |
0.518512 | + | 0.855071i | \(0.326486\pi\) | |||||||
\(72\) | 0.750501 | + | 7.14054i | 0.0884473 | + | 0.841520i | ||||
\(73\) | 2.08989 | − | 6.43203i | 0.244603 | − | 0.752812i | −0.751098 | − | 0.660191i | \(-0.770475\pi\) |
0.995701 | − | 0.0926213i | \(-0.0295246\pi\) | |||||||
\(74\) | 0.599491 | + | 5.70377i | 0.0696894 | + | 0.663050i | ||||
\(75\) | 0.190274 | − | 1.81034i | 0.0219710 | − | 0.209040i | ||||
\(76\) | −0.189804 | + | 0.210799i | −0.0217720 | + | 0.0241803i | ||||
\(77\) | 4.34790 | + | 3.15894i | 0.495490 | + | 0.359994i | ||||
\(78\) | −0.903174 | + | 0.286995i | −0.102264 | + | 0.0324958i | ||||
\(79\) | −0.484542 | − | 1.49127i | −0.0545152 | − | 0.167780i | 0.920092 | − | 0.391703i | \(-0.128114\pi\) |
−0.974607 | + | 0.223922i | \(0.928114\pi\) | |||||||
\(80\) | 0.0168135 | − | 0.159969i | 0.00187980 | − | 0.0178851i | ||||
\(81\) | 7.14009 | + | 3.17897i | 0.793344 | + | 0.353219i | ||||
\(82\) | 0.435848 | + | 0.484058i | 0.0481313 | + | 0.0534552i | ||||
\(83\) | 4.52538 | − | 3.28788i | 0.496725 | − | 0.360892i | −0.311039 | − | 0.950397i | \(-0.600677\pi\) |
0.807765 | + | 0.589505i | \(0.200677\pi\) | |||||||
\(84\) | −1.38506 | − | 0.294404i | −0.151123 | − | 0.0321221i | ||||
\(85\) | 0.628123 | + | 0.133512i | 0.0681295 | + | 0.0144814i | ||||
\(86\) | 2.27121 | − | 6.99006i | 0.244911 | − | 0.753757i | ||||
\(87\) | 0.0640631 | − | 0.110960i | 0.00686828 | − | 0.0118962i | ||||
\(88\) | −2.57575 | − | 4.46133i | −0.274576 | − | 0.475580i | ||||
\(89\) | 1.87406 | − | 0.398343i | 0.198650 | − | 0.0422243i | −0.107512 | − | 0.994204i | \(-0.534288\pi\) |
0.306162 | + | 0.951979i | \(0.400955\pi\) | |||||||
\(90\) | 0.230467 | + | 0.167444i | 0.0242934 | + | 0.0176502i | ||||
\(91\) | −0.0611226 | + | 9.42159i | −0.00640739 | + | 0.987651i | ||||
\(92\) | 11.5866 | 1.20799 | ||||||||
\(93\) | 2.00370 | − | 0.354275i | 0.207774 | − | 0.0367366i | ||||
\(94\) | −1.33211 | − | 2.30727i | −0.137396 | − | 0.237977i | ||||
\(95\) | 0.00276324 | + | 0.0262905i | 0.000283503 | + | 0.00269735i | ||||
\(96\) | 1.72867 | + | 1.25595i | 0.176431 | + | 0.128185i | ||||
\(97\) | −8.66381 | − | 9.62213i | −0.879677 | − | 0.976980i | 0.120199 | − | 0.992750i | \(-0.461647\pi\) |
−0.999876 | + | 0.0157701i | \(0.994980\pi\) | |||||||
\(98\) | −0.0616848 | + | 0.106841i | −0.00623110 | + | 0.0107926i | ||||
\(99\) | −5.89527 | −0.592497 | ||||||||
\(100\) | 4.94181 | + | 5.48844i | 0.494181 | + | 0.548844i | ||||
\(101\) | 11.7445 | − | 13.0436i | 1.16862 | − | 1.29789i | 0.222182 | − | 0.975005i | \(-0.428682\pi\) |
0.946440 | − | 0.322880i | \(-0.104651\pi\) | |||||||
\(102\) | −0.817301 | + | 0.907705i | −0.0809248 | + | 0.0898761i | ||||
\(103\) | −9.22179 | + | 6.70002i | −0.908650 | + | 0.660173i | −0.940673 | − | 0.339315i | \(-0.889805\pi\) |
0.0320234 | + | 0.999487i | \(0.489805\pi\) | |||||||
\(104\) | 3.72676 | − | 8.22640i | 0.365439 | − | 0.806665i | ||||
\(105\) | −0.106761 | + | 0.0775665i | −0.0104188 | + | 0.00756971i | ||||
\(106\) | −0.645492 | + | 6.14144i | −0.0626957 | + | 0.596510i | ||||
\(107\) | 11.4163 | − | 12.6791i | 1.10366 | − | 1.22574i | 0.131522 | − | 0.991313i | \(-0.458014\pi\) |
0.972135 | − | 0.234422i | \(-0.0753197\pi\) | |||||||
\(108\) | 2.90408 | − | 1.29298i | 0.279445 | − | 0.124417i | ||||
\(109\) | 4.50263 | + | 3.27135i | 0.431274 | + | 0.313339i | 0.782158 | − | 0.623080i | \(-0.214119\pi\) |
−0.350884 | + | 0.936419i | \(0.614119\pi\) | |||||||
\(110\) | −0.199928 | − | 0.0424960i | −0.0190624 | − | 0.00405184i | ||||
\(111\) | 2.66234 | − | 1.18535i | 0.252698 | − | 0.112508i | ||||
\(112\) | 2.46085 | − | 1.78791i | 0.232528 | − | 0.168942i | ||||
\(113\) | 4.91394 | + | 5.45748i | 0.462264 | + | 0.513397i | 0.928535 | − | 0.371246i | \(-0.121069\pi\) |
−0.466270 | + | 0.884642i | \(0.654403\pi\) | |||||||
\(114\) | −0.0459352 | − | 0.0204517i | −0.00430222 | − | 0.00191547i | ||||
\(115\) | 0.722531 | − | 0.802452i | 0.0673764 | − | 0.0748291i | ||||
\(116\) | 0.160639 | + | 0.494395i | 0.0149149 | + | 0.0459035i | ||||
\(117\) | −6.02045 | − | 8.40051i | −0.556591 | − | 0.776627i | ||||
\(118\) | 3.10980 | 0.286281 | ||||||||
\(119\) | 6.07176 | + | 10.5166i | 0.556597 | + | 0.964055i | ||||
\(120\) | 0.123729 | − | 0.0262994i | 0.0112949 | − | 0.00240080i | ||||
\(121\) | −6.18487 | + | 2.75368i | −0.562261 | + | 0.250335i | ||||
\(122\) | 1.66468 | − | 1.20946i | 0.150713 | − | 0.109500i | ||||
\(123\) | 0.165493 | − | 0.286642i | 0.0149220 | − | 0.0258456i | ||||
\(124\) | −4.37151 | + | 7.00318i | −0.392574 | + | 0.628904i | ||||
\(125\) | 1.37920 | 0.123359 | ||||||||
\(126\) | 0.563107 | + | 5.35760i | 0.0501655 | + | 0.477293i | ||||
\(127\) | 0.384266 | − | 3.65605i | 0.0340981 | − | 0.324422i | −0.964155 | − | 0.265340i | \(-0.914516\pi\) |
0.998253 | − | 0.0590823i | \(-0.0188175\pi\) | |||||||
\(128\) | −10.1176 | + | 2.15057i | −0.894279 | + | 0.190085i | ||||
\(129\) | −3.73473 | −0.328825 | ||||||||
\(130\) | −0.143618 | − | 0.328287i | −0.0125962 | − | 0.0287927i | ||||
\(131\) | −1.30563 | + | 4.01833i | −0.114074 | + | 0.351083i | −0.991753 | − | 0.128166i | \(-0.959091\pi\) |
0.877679 | + | 0.479249i | \(0.159091\pi\) | |||||||
\(132\) | −0.745719 | + | 0.828205i | −0.0649065 | + | 0.0720860i | ||||
\(133\) | −0.334503 | + | 0.371503i | −0.0290051 | + | 0.0322134i | ||||
\(134\) | −0.0939596 | − | 0.893966i | −0.00811687 | − | 0.0772269i | ||||
\(135\) | 0.0915484 | − | 0.281757i | 0.00787923 | − | 0.0242498i | ||||
\(136\) | −1.21672 | − | 11.5763i | −0.104333 | − | 0.992662i | ||||
\(137\) | 1.85012 | − | 0.823727i | 0.158066 | − | 0.0703757i | −0.326178 | − | 0.945308i | \(-0.605761\pi\) |
0.484245 | + | 0.874932i | \(0.339094\pi\) | |||||||
\(138\) | 0.634686 | + | 1.95336i | 0.0540281 | + | 0.166281i | ||||
\(139\) | −10.5385 | + | 4.69205i | −0.893865 | + | 0.397974i | −0.801670 | − | 0.597767i | \(-0.796055\pi\) |
−0.0921948 | + | 0.995741i | \(0.529388\pi\) | |||||||
\(140\) | 0.0559655 | − | 0.532476i | 0.00472995 | − | 0.0450024i | ||||
\(141\) | −0.905867 | + | 1.00607i | −0.0762878 | + | 0.0847262i | ||||
\(142\) | −6.71635 | − | 4.87972i | −0.563624 | − | 0.409497i | ||||
\(143\) | 6.39770 | + | 3.74926i | 0.535003 | + | 0.313529i | ||||
\(144\) | −1.03108 | + | 3.17333i | −0.0859230 | + | 0.264444i | ||||
\(145\) | 0.0442576 | + | 0.0197048i | 0.00367540 | + | 0.00163639i | ||||
\(146\) | −3.25465 | + | 3.61465i | −0.269357 | + | 0.299151i | ||||
\(147\) | 0.0613193 | + | 0.0130338i | 0.00505753 | + | 0.00107501i | ||||
\(148\) | −3.65381 | + | 11.2453i | −0.300341 | + | 0.924355i | ||||
\(149\) | 0.748108 | − | 1.29576i | 0.0612874 | − | 0.106153i | −0.833754 | − | 0.552136i | \(-0.813813\pi\) |
0.895041 | + | 0.445984i | \(0.147146\pi\) | |||||||
\(150\) | −0.654586 | + | 1.13378i | −0.0534467 | + | 0.0925724i | ||||
\(151\) | 6.87502 | − | 21.1591i | 0.559481 | − | 1.72191i | −0.124324 | − | 0.992242i | \(-0.539676\pi\) |
0.683805 | − | 0.729664i | \(-0.260324\pi\) | |||||||
\(152\) | 0.437755 | − | 0.194901i | 0.0355066 | − | 0.0158086i | ||||
\(153\) | −12.1690 | − | 5.41800i | −0.983808 | − | 0.438020i | ||||
\(154\) | −1.93261 | − | 3.34737i | −0.155734 | − | 0.269739i | ||||
\(155\) | 0.212415 | + | 0.739471i | 0.0170616 | + | 0.0593958i | ||||
\(156\) | −1.94171 | − | 0.216827i | −0.155461 | − | 0.0173600i | ||||
\(157\) | −5.85289 | + | 4.25237i | −0.467111 | + | 0.339376i | −0.796314 | − | 0.604883i | \(-0.793220\pi\) |
0.329203 | + | 0.944259i | \(0.393220\pi\) | |||||||
\(158\) | −0.117879 | + | 1.12154i | −0.00937791 | + | 0.0892249i | ||||
\(159\) | 3.06934 | − | 0.652409i | 0.243415 | − | 0.0517394i | ||||
\(160\) | −0.403965 | + | 0.699688i | −0.0319362 | + | 0.0553152i | ||||
\(161\) | 20.4197 | 1.60930 | ||||||||
\(162\) | −3.76128 | − | 4.17733i | −0.295514 | − | 0.328202i | ||||
\(163\) | 3.58468 | + | 0.761947i | 0.280774 | + | 0.0596803i | 0.346146 | − | 0.938181i | \(-0.387490\pi\) |
−0.0653723 | + | 0.997861i | \(0.520823\pi\) | |||||||
\(164\) | 0.414975 | + | 1.27716i | 0.0324041 | + | 0.0997295i | ||||
\(165\) | 0.0108565 | + | 0.103293i | 0.000845176 | + | 0.00804131i | ||||
\(166\) | −3.93508 | + | 0.836427i | −0.305421 | + | 0.0649193i | ||||
\(167\) | −18.9454 | − | 8.43505i | −1.46604 | − | 0.652724i | −0.490281 | − | 0.871564i | \(-0.663106\pi\) |
−0.975761 | + | 0.218840i | \(0.929773\pi\) | |||||||
\(168\) | 1.93521 | + | 1.40602i | 0.149305 | + | 0.108476i | ||||
\(169\) | 1.19101 | + | 12.9453i | 0.0916163 | + | 0.995794i | ||||
\(170\) | −0.373636 | − | 0.271463i | −0.0286566 | − | 0.0208202i | ||||
\(171\) | 0.0573198 | − | 0.545362i | 0.00438336 | − | 0.0417048i | ||||
\(172\) | 10.1391 | − | 11.2607i | 0.773102 | − | 0.858617i | ||||
\(173\) | 19.5426 | − | 8.70091i | 1.48579 | − | 0.661518i | 0.506183 | − | 0.862426i | \(-0.331056\pi\) |
0.979610 | + | 0.200909i | \(0.0643894\pi\) | |||||||
\(174\) | −0.0745498 | + | 0.0541636i | −0.00565161 | + | 0.00410613i | ||||
\(175\) | 8.70925 | + | 9.67260i | 0.658357 | + | 0.731180i | ||||
\(176\) | −0.250242 | − | 2.38090i | −0.0188627 | − | 0.179467i | ||||
\(177\) | −0.488315 | − | 1.50288i | −0.0367040 | − | 0.112963i | ||||
\(178\) | −1.34783 | − | 0.286490i | −0.101024 | − | 0.0214733i | ||||
\(179\) | −21.3988 | + | 4.54846i | −1.59942 | + | 0.339968i | −0.919431 | − | 0.393252i | \(-0.871350\pi\) |
−0.679992 | + | 0.733219i | \(0.738017\pi\) | |||||||
\(180\) | 0.293655 | + | 0.508625i | 0.0218877 | + | 0.0379107i | ||||
\(181\) | 12.3749 | 0.919818 | 0.459909 | − | 0.887966i | \(-0.347882\pi\) | ||||
0.459909 | + | 0.887966i | \(0.347882\pi\) | |||||||
\(182\) | 2.79622 | − | 6.17233i | 0.207270 | − | 0.457524i | ||||
\(183\) | −0.845896 | − | 0.614579i | −0.0625304 | − | 0.0454310i | ||||
\(184\) | −17.8810 | − | 7.96114i | −1.31821 | − | 0.586903i | ||||
\(185\) | 0.550964 | + | 0.954298i | 0.0405077 | + | 0.0701614i | ||||
\(186\) | −1.42012 | − | 0.353368i | −0.104128 | − | 0.0259102i | ||||
\(187\) | 9.55749 | 0.698913 | ||||||||
\(188\) | −0.574141 | − | 5.46259i | −0.0418735 | − | 0.398400i | ||||
\(189\) | 5.11803 | − | 2.27869i | 0.372282 | − | 0.165751i | ||||
\(190\) | 0.00587514 | − | 0.0180818i | 0.000426227 | − | 0.00131179i | ||||
\(191\) | −9.23303 | + | 15.9921i | −0.668078 | + | 1.15715i | 0.310362 | + | 0.950618i | \(0.399550\pi\) |
−0.978441 | + | 0.206527i | \(0.933784\pi\) | |||||||
\(192\) | −0.342974 | − | 0.594048i | −0.0247520 | − | 0.0428717i | ||||
\(193\) | −25.9582 | + | 5.51758i | −1.86851 | + | 0.397164i | −0.995838 | − | 0.0911424i | \(-0.970948\pi\) |
−0.872672 | + | 0.488306i | \(0.837615\pi\) | |||||||
\(194\) | 2.87761 | + | 8.85637i | 0.206600 | + | 0.635850i | ||||
\(195\) | −0.136100 | + | 0.120956i | −0.00974635 | + | 0.00866183i | ||||
\(196\) | −0.205770 | + | 0.149500i | −0.0146978 | + | 0.0106786i | ||||
\(197\) | −14.5822 | + | 3.09953i | −1.03894 | + | 0.220833i | −0.695637 | − | 0.718394i | \(-0.744878\pi\) |
−0.343299 | + | 0.939226i | \(0.611544\pi\) | |||||||
\(198\) | 3.87334 | + | 1.72452i | 0.275266 | + | 0.122556i | ||||
\(199\) | −14.2441 | + | 6.34188i | −1.00974 | + | 0.449564i | −0.843849 | − | 0.536581i | \(-0.819716\pi\) |
−0.165888 | + | 0.986145i | \(0.553049\pi\) | |||||||
\(200\) | −3.85535 | − | 11.8656i | −0.272615 | − | 0.839021i | ||||
\(201\) | −0.417274 | + | 0.185783i | −0.0294323 | + | 0.0131041i | ||||
\(202\) | −11.5320 | + | 5.13439i | −0.811390 | + | 0.361254i | ||||
\(203\) | 0.283103 | + | 0.871302i | 0.0198700 | + | 0.0611534i | ||||
\(204\) | −2.30047 | + | 1.02424i | −0.161065 | + | 0.0717108i | ||||
\(205\) | 0.114330 | + | 0.0509029i | 0.00798514 | + | 0.00355521i | ||||
\(206\) | 8.01887 | − | 1.70446i | 0.558701 | − | 0.118756i | ||||
\(207\) | −18.1213 | + | 13.1659i | −1.25952 | + | 0.915093i | ||||
\(208\) | 3.13712 | − | 2.78803i | 0.217520 | − | 0.193315i | ||||
\(209\) | 0.121582 | + | 0.374192i | 0.00841002 | + | 0.0258834i | ||||
\(210\) | 0.0928349 | − | 0.0197327i | 0.00640621 | − | 0.00136168i | ||||
\(211\) | −0.225876 | − | 0.391229i | −0.0155500 | − | 0.0269333i | 0.858146 | − | 0.513406i | \(-0.171617\pi\) |
−0.873696 | + | 0.486473i | \(0.838283\pi\) | |||||||
\(212\) | −6.36563 | + | 11.0256i | −0.437194 | + | 0.757242i | ||||
\(213\) | −1.30360 | + | 4.01206i | −0.0893210 | + | 0.274902i | ||||
\(214\) | −11.2098 | + | 4.99091i | −0.766284 | + | 0.341172i | ||||
\(215\) | −0.147610 | − | 1.40441i | −0.0100669 | − | 0.0957801i | ||||
\(216\) | −5.37013 | −0.365391 | ||||||||
\(217\) | −7.70418 | + | 12.3421i | −0.522994 | + | 0.837838i | ||||
\(218\) | −2.00138 | − | 3.46650i | −0.135551 | − | 0.234781i | ||||
\(219\) | 2.25792 | + | 1.00529i | 0.152576 | + | 0.0679312i | ||||
\(220\) | −0.340912 | − | 0.247687i | −0.0229843 | − | 0.0166991i | ||||
\(221\) | 9.76043 | + | 13.6190i | 0.656557 | + | 0.916113i | ||||
\(222\) | −2.09597 | −0.140672 | ||||||||
\(223\) | −10.6858 | − | 18.5083i | −0.715571 | − | 1.23941i | −0.962739 | − | 0.270433i | \(-0.912833\pi\) |
0.247168 | − | 0.968973i | \(-0.420500\pi\) | |||||||
\(224\) | −14.9445 | + | 3.17656i | −0.998524 | + | 0.212243i | ||||
\(225\) | −13.9655 | − | 2.96845i | −0.931032 | − | 0.197897i | ||||
\(226\) | −1.63212 | − | 5.02316i | −0.108567 | − | 0.334135i | ||||
\(227\) | 0.226502 | + | 2.15502i | 0.0150334 | + | 0.143034i | 0.999464 | − | 0.0327410i | \(-0.0104237\pi\) |
−0.984430 | + | 0.175775i | \(0.943757\pi\) | |||||||
\(228\) | −0.0693652 | − | 0.0770379i | −0.00459382 | − | 0.00510196i | ||||
\(229\) | 12.6954 | − | 9.22378i | 0.838939 | − | 0.609525i | −0.0831351 | − | 0.996538i | \(-0.526493\pi\) |
0.922074 | + | 0.387013i | \(0.126493\pi\) | |||||||
\(230\) | −0.709459 | + | 0.315872i | −0.0467804 | + | 0.0208280i | ||||
\(231\) | −1.31422 | + | 1.45959i | −0.0864697 | + | 0.0960343i | ||||
\(232\) | 0.0917929 | − | 0.873351i | 0.00602650 | − | 0.0573383i | ||||
\(233\) | 5.42545 | + | 3.94182i | 0.355433 | + | 0.258237i | 0.751145 | − | 0.660138i | \(-0.229502\pi\) |
−0.395712 | + | 0.918375i | \(0.629502\pi\) | |||||||
\(234\) | 1.49822 | + | 7.28048i | 0.0979414 | + | 0.475940i | ||||
\(235\) | −0.414125 | − | 0.300880i | −0.0270146 | − | 0.0196272i | ||||
\(236\) | 5.85704 | + | 2.60772i | 0.381261 | + | 0.169748i | ||||
\(237\) | 0.560518 | − | 0.119142i | 0.0364096 | − | 0.00773909i | ||||
\(238\) | −0.912915 | − | 8.68581i | −0.0591755 | − | 0.563017i | ||||
\(239\) | −5.05541 | − | 15.5589i | −0.327007 | − | 1.00642i | −0.970526 | − | 0.240995i | \(-0.922526\pi\) |
0.643519 | − | 0.765430i | \(-0.277474\pi\) | |||||||
\(240\) | 0.0574994 | + | 0.0122219i | 0.00371157 | + | 0.000788919i | ||||
\(241\) | 2.21303 | + | 2.45782i | 0.142554 | + | 0.158322i | 0.810193 | − | 0.586163i | \(-0.199362\pi\) |
−0.667640 | + | 0.744484i | \(0.732695\pi\) | |||||||
\(242\) | 4.86914 | 0.313000 | ||||||||
\(243\) | −4.64407 | + | 8.04377i | −0.297917 | + | 0.516008i | ||||
\(244\) | 4.14948 | − | 0.882000i | 0.265643 | − | 0.0564643i | ||||
\(245\) | −0.00247770 | + | 0.0235737i | −0.000158294 | + | 0.00150607i | ||||
\(246\) | −0.192583 | + | 0.139920i | −0.0122786 | + | 0.00892096i | ||||
\(247\) | −0.409043 | + | 0.555387i | −0.0260268 | + | 0.0353384i | ||||
\(248\) | 11.5582 | − | 7.80400i | 0.733948 | − | 0.495555i | ||||
\(249\) | 1.02213 | + | 1.77037i | 0.0647746 | + | 0.112193i | ||||
\(250\) | −0.906168 | − | 0.403452i | −0.0573111 | − | 0.0255165i | ||||
\(251\) | 9.34388 | − | 4.16016i | 0.589781 | − | 0.262587i | −0.0900729 | − | 0.995935i | \(-0.528710\pi\) |
0.679854 | + | 0.733348i | \(0.262043\pi\) | |||||||
\(252\) | −3.43205 | + | 10.5628i | −0.216199 | + | 0.665392i | ||||
\(253\) | 8.03562 | − | 13.9181i | 0.505195 | − | 0.875023i | ||||
\(254\) | −1.32196 | + | 2.28971i | −0.0829474 | + | 0.143669i | ||||
\(255\) | −0.0725202 | + | 0.223194i | −0.00454139 | + | 0.0139770i | ||||
\(256\) | 10.9485 | + | 2.32718i | 0.684281 | + | 0.145448i | ||||
\(257\) | −20.0821 | + | 22.3034i | −1.25268 | + | 1.39125i | −0.364861 | + | 0.931062i | \(0.618884\pi\) |
−0.887823 | + | 0.460185i | \(0.847783\pi\) | |||||||
\(258\) | 2.45381 | + | 1.09251i | 0.152768 | + | 0.0680165i | ||||
\(259\) | −6.43932 | + | 19.8182i | −0.400120 | + | 1.23144i | ||||
\(260\) | 0.00479252 | − | 0.738732i | 0.000297220 | − | 0.0458142i | ||||
\(261\) | −0.813021 | − | 0.590694i | −0.0503247 | − | 0.0365631i | ||||
\(262\) | 2.03330 | − | 2.25821i | 0.125618 | − | 0.139513i | ||||
\(263\) | −1.80541 | + | 17.1773i | −0.111326 | + | 1.05920i | 0.786120 | + | 0.618074i | \(0.212087\pi\) |
−0.897446 | + | 0.441124i | \(0.854580\pi\) | |||||||
\(264\) | 1.71989 | − | 0.765745i | 0.105852 | − | 0.0471283i | ||||
\(265\) | 0.366644 | + | 1.12841i | 0.0225227 | + | 0.0693179i | ||||
\(266\) | 0.328451 | − | 0.146236i | 0.0201386 | − | 0.00896629i | ||||
\(267\) | 0.0731896 | + | 0.696353i | 0.00447913 | + | 0.0426161i | ||||
\(268\) | 0.572670 | − | 1.76250i | 0.0349814 | − | 0.107662i | ||||
\(269\) | −0.447174 | − | 4.25458i | −0.0272647 | − | 0.259406i | −0.999660 | − | 0.0260675i | \(-0.991702\pi\) |
0.972395 | − | 0.233339i | \(-0.0749651\pi\) | |||||||
\(270\) | −0.142571 | + | 0.158341i | −0.00867659 | + | 0.00963633i | ||||
\(271\) | 2.86424 | − | 3.18106i | 0.173990 | − | 0.193236i | −0.649842 | − | 0.760069i | \(-0.725165\pi\) |
0.823832 | + | 0.566833i | \(0.191832\pi\) | |||||||
\(272\) | 1.67159 | − | 5.14463i | 0.101355 | − | 0.311939i | ||||
\(273\) | −3.42199 | − | 0.382126i | −0.207108 | − | 0.0231273i | ||||
\(274\) | −1.45654 | −0.0879926 | ||||||||
\(275\) | 10.0201 | − | 2.12984i | 0.604237 | − | 0.128434i | ||||
\(276\) | −0.442616 | + | 4.21121i | −0.0266423 | + | 0.253485i | ||||
\(277\) | −3.17747 | − | 30.2316i | −0.190916 | − | 1.81644i | −0.500684 | − | 0.865630i | \(-0.666918\pi\) |
0.309768 | − | 0.950812i | \(-0.399749\pi\) | |||||||
\(278\) | 8.29661 | 0.497598 | ||||||||
\(279\) | −1.12075 | − | 15.9203i | −0.0670974 | − | 0.953121i | ||||
\(280\) | −0.452233 | + | 0.783290i | −0.0270261 | + | 0.0468105i | ||||
\(281\) | 11.2692 | − | 8.18753i | 0.672262 | − | 0.488427i | −0.198520 | − | 0.980097i | \(-0.563613\pi\) |
0.870782 | + | 0.491670i | \(0.163613\pi\) | |||||||
\(282\) | 0.889478 | − | 0.396021i | 0.0529677 | − | 0.0235827i | ||||
\(283\) | 3.97013 | − | 0.843876i | 0.235999 | − | 0.0501632i | −0.0883935 | − | 0.996086i | \(-0.528173\pi\) |
0.324393 | + | 0.945922i | \(0.394840\pi\) | |||||||
\(284\) | −8.55779 | − | 14.8225i | −0.507811 | − | 0.879555i | ||||
\(285\) | −0.00966097 | −0.000572267 | ||||||||
\(286\) | −3.10669 | − | 4.33486i | −0.183702 | − | 0.256325i | ||||
\(287\) | 0.731335 | + | 2.25082i | 0.0431693 | + | 0.132862i | ||||
\(288\) | 11.2143 | − | 12.4547i | 0.660807 | − | 0.733900i | ||||
\(289\) | 4.19832 | + | 1.86921i | 0.246960 | + | 0.109954i | ||||
\(290\) | −0.0233142 | − | 0.0258930i | −0.00136906 | − | 0.00152049i | ||||
\(291\) | 3.82818 | − | 2.78133i | 0.224412 | − | 0.163045i | ||||
\(292\) | −9.16092 | + | 4.07870i | −0.536102 | + | 0.238688i | ||||
\(293\) | −8.39556 | − | 1.78453i | −0.490474 | − | 0.104253i | −0.0439658 | − | 0.999033i | \(-0.513999\pi\) |
−0.446508 | + | 0.894780i | \(0.647333\pi\) | |||||||
\(294\) | −0.0364756 | − | 0.0265011i | −0.00212730 | − | 0.00154557i | ||||
\(295\) | 0.545844 | − | 0.243025i | 0.0317803 | − | 0.0141495i | ||||
\(296\) | 13.3654 | − | 14.8437i | 0.776846 | − | 0.862775i | ||||
\(297\) | 0.460900 | − | 4.38517i | 0.0267441 | − | 0.254453i | ||||
\(298\) | −0.870569 | + | 0.632505i | −0.0504307 | + | 0.0366401i | ||||
\(299\) | 28.0389 | − | 2.76322i | 1.62153 | − | 0.159801i | ||||
\(300\) | −2.18358 | + | 1.58647i | −0.126069 | + | 0.0915946i | ||||
\(301\) | 17.8688 | − | 19.8453i | 1.02994 | − | 1.14386i | ||||
\(302\) | −10.7067 | + | 11.8909i | −0.616099 | + | 0.684247i | ||||
\(303\) | 4.29211 | + | 4.76687i | 0.246575 | + | 0.273850i | ||||
\(304\) | 0.222686 | 0.0127719 | ||||||||
\(305\) | 0.197674 | − | 0.342382i | 0.0113188 | − | 0.0196047i | ||||
\(306\) | 6.41045 | + | 7.11952i | 0.366461 | + | 0.406996i | ||||
\(307\) | 22.3972 | + | 16.2725i | 1.27828 | + | 0.928722i | 0.999500 | − | 0.0316339i | \(-0.0100711\pi\) |
0.278777 | + | 0.960356i | \(0.410071\pi\) | |||||||
\(308\) | −0.832959 | − | 7.92508i | −0.0474623 | − | 0.451573i | ||||
\(309\) | −2.08288 | − | 3.60765i | −0.118491 | − | 0.205232i | ||||
\(310\) | 0.0767529 | − | 0.547988i | 0.00435927 | − | 0.0311236i | ||||
\(311\) | 10.5681 | 0.599259 | 0.299630 | − | 0.954056i | \(-0.403137\pi\) | ||||
0.299630 | + | 0.954056i | \(0.403137\pi\) | |||||||
\(312\) | 2.84756 | + | 1.66877i | 0.161212 | + | 0.0944753i | ||||
\(313\) | −5.52363 | − | 4.01315i | −0.312214 | − | 0.226837i | 0.420632 | − | 0.907231i | \(-0.361808\pi\) |
−0.732846 | + | 0.680395i | \(0.761808\pi\) | |||||||
\(314\) | 5.08942 | − | 1.08179i | 0.287213 | − | 0.0610489i | ||||
\(315\) | 0.517525 | + | 0.896380i | 0.0291593 | + | 0.0505053i | ||||
\(316\) | −1.16248 | + | 2.01348i | −0.0653946 | + | 0.113267i | ||||
\(317\) | −0.773075 | + | 2.37928i | −0.0434202 | + | 0.133634i | −0.970417 | − | 0.241437i | \(-0.922381\pi\) |
0.926996 | + | 0.375070i | \(0.122381\pi\) | |||||||
\(318\) | −2.20748 | − | 0.469215i | −0.123789 | − | 0.0263123i | ||||
\(319\) | 0.705287 | + | 0.149913i | 0.0394885 | + | 0.00839354i | ||||
\(320\) | 0.209831 | − | 0.152451i | 0.0117299 | − | 0.00852226i | ||||
\(321\) | 4.17218 | + | 4.63367i | 0.232868 | + | 0.258626i | ||||
\(322\) | −13.4163 | − | 5.97331i | −0.747659 | − | 0.332879i | ||||
\(323\) | −0.0929276 | + | 0.884147i | −0.00517063 | + | 0.0491953i | ||||
\(324\) | −3.58116 | − | 11.0217i | −0.198953 | − | 0.612315i | ||||
\(325\) | 13.2678 | + | 12.1032i | 0.735967 | + | 0.671364i | ||||
\(326\) | −2.13233 | − | 1.54923i | −0.118099 | − | 0.0858040i | ||||
\(327\) | −1.36099 | + | 1.51154i | −0.0752631 | + | 0.0835882i | ||||
\(328\) | 0.237127 | − | 2.25611i | 0.0130931 | − | 0.124573i | ||||
\(329\) | −1.01184 | − | 9.62704i | −0.0557847 | − | 0.530756i | ||||
\(330\) | 0.0230828 | − | 0.0710415i | 0.00127067 | − | 0.00391071i | ||||
\(331\) | 1.77162 | + | 16.8558i | 0.0973770 | + | 0.926480i | 0.928735 | + | 0.370743i | \(0.120897\pi\) |
−0.831358 | + | 0.555737i | \(0.812436\pi\) | |||||||
\(332\) | −8.11277 | − | 1.72442i | −0.445246 | − | 0.0946400i | ||||
\(333\) | −7.06353 | − | 21.7393i | −0.387079 | − | 1.19131i | ||||
\(334\) | 9.98015 | + | 11.0841i | 0.546089 | + | 0.606494i | ||||
\(335\) | −0.0863539 | − | 0.149569i | −0.00471802 | − | 0.00817185i | ||||
\(336\) | 0.555819 | + | 0.962707i | 0.0303224 | + | 0.0525200i | ||||
\(337\) | 4.05033 | − | 12.4656i | 0.220635 | − | 0.679046i | −0.778070 | − | 0.628178i | \(-0.783801\pi\) |
0.998705 | − | 0.0508683i | \(-0.0161989\pi\) | |||||||
\(338\) | 3.00432 | − | 8.85380i | 0.163414 | − | 0.481583i | ||||
\(339\) | −2.17127 | + | 1.57752i | −0.117927 | + | 0.0856790i | ||||
\(340\) | −0.476077 | − | 0.824589i | −0.0258189 | − | 0.0447196i | ||||
\(341\) | 5.38063 | + | 10.1081i | 0.291378 | + | 0.547383i | ||||
\(342\) | −0.197193 | + | 0.341548i | −0.0106630 | + | 0.0184688i | ||||
\(343\) | −15.1611 | + | 11.0152i | −0.818624 | + | 0.594765i | ||||
\(344\) | −23.3844 | + | 10.4114i | −1.26080 | + | 0.561346i | ||||
\(345\) | 0.264054 | + | 0.293262i | 0.0142162 | + | 0.0157887i | ||||
\(346\) | −15.3852 | −0.827112 | ||||||||
\(347\) | −1.16754 | + | 2.02224i | −0.0626768 | + | 0.108559i | −0.895661 | − | 0.444737i | \(-0.853297\pi\) |
0.832984 | + | 0.553297i | \(0.186630\pi\) | |||||||
\(348\) | −0.185827 | + | 0.0394988i | −0.00996138 | + | 0.00211736i | ||||
\(349\) | 18.4695 | − | 20.5125i | 0.988651 | − | 1.09801i | −0.00653199 | − | 0.999979i | \(-0.502079\pi\) |
0.995183 | − | 0.0980300i | \(-0.0312541\pi\) | |||||||
\(350\) | −2.89270 | − | 8.90282i | −0.154621 | − | 0.475876i | ||||
\(351\) | 6.71936 | − | 3.82152i | 0.358653 | − | 0.203978i | ||||
\(352\) | −3.71586 | + | 11.4363i | −0.198056 | + | 0.609554i | ||||
\(353\) | 6.74233 | + | 3.00188i | 0.358858 | + | 0.159774i | 0.578243 | − | 0.815865i | \(-0.303739\pi\) |
−0.219385 | + | 0.975638i | \(0.570405\pi\) | |||||||
\(354\) | −0.118797 | + | 1.13027i | −0.00631397 | + | 0.0600734i | ||||
\(355\) | −1.56022 | − | 0.331635i | −0.0828079 | − | 0.0176014i | ||||
\(356\) | −2.29828 | − | 1.66980i | −0.121809 | − | 0.0884992i | ||||
\(357\) | −4.05426 | + | 1.80507i | −0.214574 | + | 0.0955345i | ||||
\(358\) | 15.3901 | + | 3.27127i | 0.813392 | + | 0.172892i | ||||
\(359\) | 20.0244 | + | 14.5486i | 1.05685 | + | 0.767843i | 0.973502 | − | 0.228678i | \(-0.0734401\pi\) |
0.0833435 | + | 0.996521i | \(0.473440\pi\) | |||||||
\(360\) | −0.103707 | − | 0.986706i | −0.00546584 | − | 0.0520040i | ||||
\(361\) | 18.5490 | − | 3.94271i | 0.976263 | − | 0.207511i | ||||
\(362\) | −8.13060 | − | 3.61998i | −0.427335 | − | 0.190262i | ||||
\(363\) | −0.764574 | − | 2.35312i | −0.0401297 | − | 0.123507i | ||||
\(364\) | 10.4422 | − | 9.28029i | 0.547323 | − | 0.486419i | ||||
\(365\) | −0.288789 | + | 0.888802i | −0.0151159 | + | 0.0465220i | ||||
\(366\) | 0.375994 | + | 0.651240i | 0.0196535 | + | 0.0340409i | ||||
\(367\) | 16.0392 | + | 27.7807i | 0.837239 | + | 1.45014i | 0.892194 | + | 0.451652i | \(0.149165\pi\) |
−0.0549552 | + | 0.998489i | \(0.517502\pi\) | |||||||
\(368\) | −6.08646 | − | 6.75970i | −0.317279 | − | 0.352374i | ||||
\(369\) | −2.10026 | − | 1.52593i | −0.109335 | − | 0.0794366i | ||||
\(370\) | −0.0828399 | − | 0.788169i | −0.00430664 | − | 0.0409750i | ||||
\(371\) | −11.2185 | + | 19.4311i | −0.582437 | + | 1.00881i | ||||
\(372\) | −2.37835 | − | 1.85638i | −0.123312 | − | 0.0962486i | ||||
\(373\) | −14.7786 | + | 25.5973i | −0.765207 | + | 1.32538i | 0.174930 | + | 0.984581i | \(0.444030\pi\) |
−0.940137 | + | 0.340797i | \(0.889303\pi\) | |||||||
\(374\) | −6.27950 | − | 2.79582i | −0.324705 | − | 0.144568i | ||||
\(375\) | −0.0526864 | + | 0.501277i | −0.00272071 | + | 0.0258858i | ||||
\(376\) | −2.86730 | + | 8.82463i | −0.147870 | + | 0.455096i | ||||
\(377\) | 0.506643 | + | 1.15810i | 0.0260934 | + | 0.0596452i | ||||
\(378\) | −4.02925 | −0.207242 | ||||||||
\(379\) | −11.5448 | + | 2.45393i | −0.593018 | + | 0.126050i | −0.494638 | − | 0.869099i | \(-0.664699\pi\) |
−0.0983801 | + | 0.995149i | \(0.531366\pi\) | |||||||
\(380\) | 0.0262278 | − | 0.0291290i | 0.00134546 | − | 0.00149428i | ||||
\(381\) | 1.31413 | + | 0.279327i | 0.0673250 | + | 0.0143104i | ||||
\(382\) | 10.7444 | − | 7.80628i | 0.549733 | − | 0.399404i | ||||
\(383\) | 8.71876 | + | 9.68317i | 0.445508 | + | 0.494787i | 0.923511 | − | 0.383571i | \(-0.125306\pi\) |
−0.478003 | + | 0.878358i | \(0.658639\pi\) | |||||||
\(384\) | −0.395134 | − | 3.75945i | −0.0201641 | − | 0.191849i | ||||
\(385\) | −0.600810 | − | 0.436514i | −0.0306201 | − | 0.0222468i | ||||
\(386\) | 18.6692 | + | 3.96826i | 0.950237 | + | 0.201979i | ||||
\(387\) | −3.06197 | + | 29.1327i | −0.155649 | + | 1.48090i | ||||
\(388\) | −2.00678 | + | 19.0932i | −0.101879 | + | 0.969312i | ||||
\(389\) | 0.775557 | + | 2.38692i | 0.0393223 | + | 0.121022i | 0.968791 | − | 0.247880i | \(-0.0797339\pi\) |
−0.929468 | + | 0.368902i | \(0.879734\pi\) | |||||||
\(390\) | 0.124804 | − | 0.0396580i | 0.00631970 | − | 0.00200816i | ||||
\(391\) | 29.3785 | − | 21.3447i | 1.48573 | − | 1.07945i | ||||
\(392\) | 0.420276 | − | 0.0893324i | 0.0212271 | − | 0.00451197i | ||||
\(393\) | −1.41061 | − | 0.628042i | −0.0711557 | − | 0.0316805i | ||||
\(394\) | 10.4875 | + | 2.22919i | 0.528354 | + | 0.112305i | ||||
\(395\) | 0.0669558 | + | 0.206069i | 0.00336891 | + | 0.0103684i | ||||
\(396\) | 5.84900 | + | 6.49597i | 0.293923 | + | 0.326435i | ||||
\(397\) | 8.19003 | − | 14.1855i | 0.411046 | − | 0.711952i | −0.583959 | − | 0.811783i | \(-0.698497\pi\) |
0.995004 | + | 0.0998312i | \(0.0318303\pi\) | |||||||
\(398\) | 11.2139 | 0.562101 | ||||||||
\(399\) | −0.122246 | − | 0.135768i | −0.00611998 | − | 0.00679692i | ||||
\(400\) | 0.606049 | − | 5.76618i | 0.0303025 | − | 0.288309i | ||||
\(401\) | −22.4412 | − | 9.99147i | −1.12066 | − | 0.498950i | −0.239088 | − | 0.970998i | \(-0.576848\pi\) |
−0.881573 | + | 0.472048i | \(0.843515\pi\) | |||||||
\(402\) | 0.328506 | 0.0163844 | ||||||||
\(403\) | −8.90868 | + | 17.9899i | −0.443773 | + | 0.896139i | ||||
\(404\) | −26.0250 | −1.29479 | ||||||||
\(405\) | −0.986645 | − | 0.439283i | −0.0490268 | − | 0.0218281i | ||||
\(406\) | 0.0688729 | − | 0.655282i | 0.00341811 | − | 0.0325211i | ||||
\(407\) | 10.9741 | + | 12.1879i | 0.543965 | + | 0.604134i | ||||
\(408\) | 4.25396 | 0.210602 | ||||||||
\(409\) | 7.18540 | − | 12.4455i | 0.355295 | − | 0.615390i | −0.631873 | − | 0.775072i | \(-0.717714\pi\) |
0.987168 | + | 0.159682i | \(0.0510470\pi\) | |||||||
\(410\) | −0.0602271 | − | 0.0668890i | −0.00297440 | − | 0.00330341i | ||||
\(411\) | 0.228712 | + | 0.703903i | 0.0112815 | + | 0.0347210i | ||||
\(412\) | 16.5321 | + | 3.51401i | 0.814480 | + | 0.173123i | ||||
\(413\) | 10.3222 | + | 4.59575i | 0.507923 | + | 0.226142i | ||||
\(414\) | 15.7575 | − | 3.34936i | 0.774439 | − | 0.164612i | ||||
\(415\) | −0.625335 | + | 0.454332i | −0.0306965 | + | 0.0223023i | ||||
\(416\) | −20.0909 | + | 6.38414i | −0.985039 | + | 0.313008i | ||||
\(417\) | −1.30277 | − | 4.00952i | −0.0637970 | − | 0.196347i | ||||
\(418\) | 0.0295783 | − | 0.281419i | 0.00144672 | − | 0.0137647i | ||||
\(419\) | 1.34450 | − | 12.7921i | 0.0656833 | − | 0.624935i | −0.911318 | − | 0.411703i | \(-0.864934\pi\) |
0.977001 | − | 0.213232i | \(-0.0683992\pi\) | |||||||
\(420\) | 0.191393 | + | 0.0406819i | 0.00933904 | + | 0.00198507i | ||||
\(421\) | −22.7432 | − | 16.5239i | −1.10843 | − | 0.805324i | −0.126017 | − | 0.992028i | \(-0.540220\pi\) |
−0.982416 | + | 0.186704i | \(0.940220\pi\) | |||||||
\(422\) | 0.0339615 | + | 0.323122i | 0.00165322 | + | 0.0157293i | ||||
\(423\) | 7.10511 | + | 7.89103i | 0.345462 | + | 0.383675i | ||||
\(424\) | 17.3995 | − | 12.6414i | 0.844992 | − | 0.613923i | ||||
\(425\) | 22.6410 | + | 4.81249i | 1.09825 | + | 0.233440i | ||||
\(426\) | 2.03013 | − | 2.25469i | 0.0983600 | − | 0.109240i | ||||
\(427\) | 7.31288 | − | 1.55440i | 0.353895 | − | 0.0752227i | ||||
\(428\) | −25.2978 | −1.22281 | ||||||||
\(429\) | −1.60709 | + | 2.18205i | −0.0775909 | + | 0.105351i | ||||
\(430\) | −0.313844 | + | 0.965913i | −0.0151349 | + | 0.0465805i | ||||
\(431\) | 2.41519 | − | 22.9790i | 0.116336 | − | 1.10686i | −0.768143 | − | 0.640278i | \(-0.778819\pi\) |
0.884479 | − | 0.466581i | \(-0.154514\pi\) | |||||||
\(432\) | −2.27985 | − | 1.01506i | −0.109689 | − | 0.0488369i | ||||
\(433\) | 10.7840 | − | 18.6784i | 0.518246 | − | 0.897629i | −0.481529 | − | 0.876430i | \(-0.659918\pi\) |
0.999775 | − | 0.0211985i | \(-0.00674821\pi\) | |||||||
\(434\) | 8.67223 | − | 5.85541i | 0.416280 | − | 0.281068i | ||||
\(435\) | −0.00885248 | + | 0.0153329i | −0.000424444 | + | 0.000735158i | ||||
\(436\) | −0.862602 | − | 8.20711i | −0.0413111 | − | 0.393049i | ||||
\(437\) | 1.20941 | + | 0.878688i | 0.0578539 | + | 0.0420333i | ||||
\(438\) | −1.18944 | − | 1.32100i | −0.0568334 | − | 0.0631199i | ||||
\(439\) | −9.44178 | − | 16.3536i | −0.450632 | − | 0.780517i | 0.547794 | − | 0.836613i | \(-0.315468\pi\) |
−0.998425 | + | 0.0560967i | \(0.982135\pi\) | |||||||
\(440\) | 0.355927 | + | 0.616484i | 0.0169682 | + | 0.0293897i | ||||
\(441\) | 0.151943 | − | 0.467634i | 0.00723540 | − | 0.0222683i | ||||
\(442\) | −2.42893 | − | 11.8032i | −0.115532 | − | 0.561421i | ||||
\(443\) | −0.766876 | − | 2.36020i | −0.0364354 | − | 0.112137i | 0.931185 | − | 0.364548i | \(-0.118776\pi\) |
−0.967620 | + | 0.252411i | \(0.918776\pi\) | |||||||
\(444\) | −3.94757 | − | 1.75757i | −0.187344 | − | 0.0834107i | ||||
\(445\) | −0.258964 | + | 0.0550446i | −0.0122761 | + | 0.00260936i | ||||
\(446\) | 1.60665 | + | 15.2862i | 0.0760771 | + | 0.723825i | ||||
\(447\) | 0.442373 | + | 0.321403i | 0.0209235 | + | 0.0152018i | ||||
\(448\) | 4.79756 | + | 1.01975i | 0.226663 | + | 0.0481787i | ||||
\(449\) | −4.65303 | + | 2.07166i | −0.219590 | + | 0.0977678i | −0.513583 | − | 0.858040i | \(-0.671682\pi\) |
0.293993 | + | 0.955807i | \(0.405016\pi\) | |||||||
\(450\) | 8.30731 | + | 6.03561i | 0.391610 | + | 0.284522i | ||||
\(451\) | 1.82195 | + | 0.387268i | 0.0857925 | + | 0.0182358i | ||||
\(452\) | 1.13820 | − | 10.8293i | 0.0535367 | − | 0.509367i | ||||
\(453\) | 7.42777 | + | 3.30706i | 0.348987 | + | 0.155379i | ||||
\(454\) | 0.481582 | − | 1.48216i | 0.0226018 | − | 0.0695611i | ||||
\(455\) | 0.00844615 | − | 1.30191i | 0.000395962 | − | 0.0610345i | ||||
\(456\) | 0.0541152 | + | 0.166550i | 0.00253418 | + | 0.00779940i | ||||
\(457\) | −23.6727 | + | 26.2912i | −1.10736 | + | 1.22985i | −0.136391 | + | 0.990655i | \(0.543550\pi\) |
−0.970971 | + | 0.239195i | \(0.923116\pi\) | |||||||
\(458\) | −11.0394 | + | 2.34650i | −0.515838 | + | 0.109645i | ||||
\(459\) | 4.98155 | − | 8.62829i | 0.232519 | − | 0.402734i | ||||
\(460\) | −1.60108 | −0.0746507 | ||||||||
\(461\) | 11.1663 | + | 12.4015i | 0.520068 | + | 0.577594i | 0.944768 | − | 0.327740i | \(-0.106287\pi\) |
−0.424700 | + | 0.905334i | \(0.639620\pi\) | |||||||
\(462\) | 1.29045 | − | 0.574544i | 0.0600371 | − | 0.0267302i | ||||
\(463\) | −24.9170 | + | 18.1033i | −1.15799 | + | 0.841331i | −0.989523 | − | 0.144376i | \(-0.953883\pi\) |
−0.168470 | + | 0.985707i | \(0.553883\pi\) | |||||||
\(464\) | 0.204050 | − | 0.353425i | 0.00947278 | − | 0.0164073i | ||||
\(465\) | −0.276879 | + | 0.0489550i | −0.0128400 | + | 0.00227023i | ||||
\(466\) | −2.41157 | − | 4.17696i | −0.111714 | − | 0.193494i | ||||
\(467\) | −15.7875 | + | 11.4703i | −0.730557 | + | 0.530781i | −0.889740 | − | 0.456468i | \(-0.849114\pi\) |
0.159182 | + | 0.987249i | \(0.449114\pi\) | |||||||
\(468\) | −3.28328 | + | 14.9685i | −0.151770 | + | 0.691918i | ||||
\(469\) | 1.00925 | − | 3.10615i | 0.0466028 | − | 0.143429i | ||||
\(470\) | 0.184075 | + | 0.318828i | 0.00849076 | + | 0.0147064i | ||||
\(471\) | −1.32196 | − | 2.28971i | −0.0609128 | − | 0.105504i | ||||
\(472\) | −7.24712 | − | 8.04875i | −0.333576 | − | 0.370474i | ||||
\(473\) | −6.49480 | − | 19.9890i | −0.298631 | − | 0.919093i | ||||
\(474\) | −0.403126 | − | 0.0856871i | −0.0185162 | − | 0.00393574i | ||||
\(475\) | 0.0996025 | + | 0.947654i | 0.00457007 | + | 0.0434813i | ||||
\(476\) | 5.56409 | − | 17.1245i | 0.255029 | − | 0.784900i | ||||
\(477\) | −2.57266 | − | 24.4772i | −0.117794 | − | 1.12073i | ||||
\(478\) | −1.22987 | + | 11.7015i | −0.0562530 | + | 0.535212i | ||||
\(479\) | −17.5746 | + | 19.5186i | −0.803004 | + | 0.891826i | −0.995998 | − | 0.0893740i | \(-0.971513\pi\) |
0.192995 | + | 0.981200i | \(0.438180\pi\) | |||||||
\(480\) | −0.238874 | − | 0.173552i | −0.0109030 | − | 0.00792152i | ||||
\(481\) | −6.16020 | + | 28.0843i | −0.280881 | + | 1.28054i | ||||
\(482\) | −0.735038 | − | 2.26222i | −0.0334801 | − | 0.103041i | ||||
\(483\) | −0.780048 | + | 7.42166i | −0.0354934 | + | 0.337697i | ||||
\(484\) | 9.17060 | + | 4.08301i | 0.416845 | + | 0.185592i | ||||
\(485\) | 1.19720 | + | 1.32962i | 0.0543620 | + | 0.0603751i | ||||
\(486\) | 5.40428 | − | 3.92644i | 0.245143 | − | 0.178107i | ||||
\(487\) | 10.1673 | + | 2.16113i | 0.460726 | + | 0.0979302i | 0.432426 | − | 0.901669i | \(-0.357658\pi\) |
0.0282992 | + | 0.999599i | \(0.490991\pi\) | |||||||
\(488\) | −7.00972 | − | 1.48996i | −0.317315 | − | 0.0674474i | ||||
\(489\) | −0.413871 | + | 1.27376i | −0.0187159 | + | 0.0576016i | ||||
\(490\) | 0.00852384 | − | 0.0147637i | 0.000385068 | − | 0.000666957i | ||||
\(491\) | 10.6345 | + | 18.4196i | 0.479930 | + | 0.831263i | 0.999735 | − | 0.0230221i | \(-0.00732882\pi\) |
−0.519805 | + | 0.854285i | \(0.673995\pi\) | |||||||
\(492\) | −0.480043 | + | 0.102036i | −0.0216420 | + | 0.00460015i | ||||
\(493\) | 1.31808 | + | 0.957641i | 0.0593633 | + | 0.0431300i | ||||
\(494\) | 0.431217 | − | 0.245247i | 0.0194014 | − | 0.0110342i | ||||
\(495\) | 0.814631 | 0.0366149 | ||||||||
\(496\) | 6.38207 | − | 1.12841i | 0.286563 | − | 0.0506673i | ||||
\(497\) | −15.0819 | − | 26.1226i | −0.676515 | − | 1.17176i | ||||
\(498\) | −0.153681 | − | 1.46218i | −0.00688661 | − | 0.0655218i | ||||
\(499\) | −5.51847 | − | 4.00941i | −0.247041 | − | 0.179486i | 0.457373 | − | 0.889275i | \(-0.348790\pi\) |
−0.704414 | + | 0.709789i | \(0.748790\pi\) | |||||||
\(500\) | −1.36837 | − | 1.51973i | −0.0611956 | − | 0.0679646i | ||||
\(501\) | 3.78949 | − | 6.56360i | 0.169302 | − | 0.293240i | ||||
\(502\) | −7.35612 | −0.328320 | ||||||||
\(503\) | −18.0261 | − | 20.0200i | −0.803744 | − | 0.892648i | 0.192316 | − | 0.981333i | \(-0.438400\pi\) |
−0.996060 | + | 0.0886849i | \(0.971734\pi\) | |||||||
\(504\) | 12.5542 | − | 13.9428i | 0.559208 | − | 0.621064i | ||||
\(505\) | −1.62290 | + | 1.80241i | −0.0722181 | + | 0.0802063i | ||||
\(506\) | −9.35101 | + | 6.79391i | −0.415703 | + | 0.302026i | ||||
\(507\) | −4.75054 | − | 0.0616409i | −0.210979 | − | 0.00273757i | ||||
\(508\) | −4.40984 | + | 3.20393i | −0.195655 | + | 0.142152i | ||||
\(509\) | −3.31532 | + | 31.5431i | −0.146949 | + | 1.39813i | 0.633905 | + | 0.773411i | \(0.281451\pi\) |
−0.780854 | + | 0.624714i | \(0.785216\pi\) | |||||||
\(510\) | 0.112938 | − | 0.125430i | 0.00500097 | − | 0.00555414i | ||||
\(511\) | −16.1448 | + | 7.18814i | −0.714205 | + | 0.317985i | ||||
\(512\) | 10.2237 | + | 7.42795i | 0.451828 | + | 0.328272i | ||||
\(513\) | 0.401183 | + | 0.0852742i | 0.0177127 | + | 0.00376495i | ||||
\(514\) | 19.7187 | − | 8.77934i | 0.869756 | − | 0.387240i | ||||
\(515\) | 1.27430 | − | 0.925834i | 0.0561524 | − | 0.0407971i | ||||
\(516\) | 3.70542 | + | 4.11529i | 0.163122 | + | 0.181165i | ||||
\(517\) | −6.95998 | − | 3.09878i | −0.306099 | − | 0.136284i | ||||
\(518\) | 10.0281 | − | 11.1374i | 0.440611 | − | 0.489348i | ||||
\(519\) | 2.41585 | + | 7.43522i | 0.106044 | + | 0.326370i | ||||
\(520\) | −0.514978 | + | 1.13676i | −0.0225833 | + | 0.0498500i | ||||
\(521\) | −10.5077 | −0.460350 | −0.230175 | − | 0.973149i | \(-0.573930\pi\) | ||||
−0.230175 | + | 0.973149i | \(0.573930\pi\) | |||||||
\(522\) | 0.361381 | + | 0.625931i | 0.0158172 | + | 0.0273962i | ||||
\(523\) | 28.6129 | − | 6.08185i | 1.25115 | − | 0.265941i | 0.465745 | − | 0.884919i | \(-0.345786\pi\) |
0.785408 | + | 0.618978i | \(0.212453\pi\) | |||||||
\(524\) | 5.72316 | − | 2.54812i | 0.250018 | − | 0.111315i | ||||
\(525\) | −3.84826 | + | 2.79592i | −0.167952 | + | 0.122024i | ||||
\(526\) | 6.21101 | − | 10.7578i | 0.270813 | − | 0.469061i | ||||
\(527\) | 1.81697 | + | 25.8101i | 0.0791485 | + | 1.12431i | ||||
\(528\) | 0.874908 | 0.0380755 | ||||||||
\(529\) | −3.97865 | − | 37.8544i | −0.172985 | − | 1.64584i | ||||
\(530\) | 0.0891965 | − | 0.848648i | 0.00387445 | − | 0.0368629i | ||||
\(531\) | −12.1235 | + | 2.57693i | −0.526116 | + | 0.111829i | ||||
\(532\) | 0.741235 | 0.0321366 | ||||||||
\(533\) | 1.30880 | + | 2.99170i | 0.0566904 | + | 0.129585i | ||||
\(534\) | 0.155614 | − | 0.478931i | 0.00673408 | − | 0.0207254i | ||||
\(535\) | −1.57755 | + | 1.75205i | −0.0682034 | + | 0.0757476i | ||||
\(536\) | −2.09478 | + | 2.32649i | −0.0904809 | + | 0.100489i | ||||
\(537\) | −0.835712 | − | 7.95127i | −0.0360636 | − | 0.343123i | ||||
\(538\) | −0.950772 | + | 2.92617i | −0.0409907 | + | 0.126156i | ||||
\(539\) | 0.0368767 | + | 0.350858i | 0.00158839 | + | 0.0151125i | ||||
\(540\) | −0.401297 | + | 0.178669i | −0.0172691 | + | 0.00768868i | ||||
\(541\) | −2.87062 | − | 8.83487i | −0.123418 | − | 0.379841i | 0.870192 | − | 0.492713i | \(-0.163995\pi\) |
−0.993609 | + | 0.112873i | \(0.963995\pi\) | |||||||
\(542\) | −2.81242 | + | 1.25217i | −0.120804 | + | 0.0537853i | ||||
\(543\) | −0.472729 | + | 4.49772i | −0.0202867 | + | 0.193016i | ||||
\(544\) | −18.1807 | + | 20.1917i | −0.779491 | + | 0.865713i | ||||
\(545\) | −0.622191 | − | 0.452048i | −0.0266517 | − | 0.0193636i | ||||
\(546\) | 2.13655 | + | 1.25209i | 0.0914359 | + | 0.0535844i | ||||
\(547\) | 0.499860 | − | 1.53841i | 0.0213725 | − | 0.0657777i | −0.939801 | − | 0.341721i | \(-0.888990\pi\) |
0.961174 | + | 0.275943i | \(0.0889902\pi\) | |||||||
\(548\) | −2.74326 | − | 1.22138i | −0.117186 | − | 0.0521747i | ||||
\(549\) | −5.48752 | + | 6.09451i | −0.234202 | + | 0.260108i | ||||
\(550\) | −7.20651 | − | 1.53179i | −0.307287 | − | 0.0653158i | ||||
\(551\) | −0.0207258 | + | 0.0637873i | −0.000882947 | + | 0.00271743i | ||||
\(552\) | 3.57659 | − | 6.19483i | 0.152230 | − | 0.263669i | ||||
\(553\) | −2.04871 | + | 3.54847i | −0.0871199 | + | 0.150896i | ||||
\(554\) | −6.75587 | + | 20.7924i | −0.287029 | + | 0.883385i | ||||
\(555\) | −0.367892 | + | 0.163796i | −0.0156161 | + | 0.00695276i | ||||
\(556\) | 15.6259 | + | 6.95712i | 0.662688 | + | 0.295048i | ||||
\(557\) | 10.5463 | + | 18.2668i | 0.446863 | + | 0.773989i | 0.998180 | − | 0.0603069i | \(-0.0192079\pi\) |
−0.551317 | + | 0.834296i | \(0.685875\pi\) | |||||||
\(558\) | −3.92074 | + | 10.7879i | −0.165978 | + | 0.456686i | ||||
\(559\) | 21.8507 | − | 29.6682i | 0.924185 | − | 1.25483i | ||||
\(560\) | −0.340049 | + | 0.247060i | −0.0143697 | + | 0.0104402i | ||||
\(561\) | −0.365103 | + | 3.47372i | −0.0154146 | + | 0.146661i | ||||
\(562\) | −9.79919 | + | 2.08288i | −0.413354 | + | 0.0878610i | ||||
\(563\) | 23.4235 | − | 40.5707i | 0.987184 | − | 1.70985i | 0.355387 | − | 0.934719i | \(-0.384349\pi\) |
0.631797 | − | 0.775134i | \(-0.282318\pi\) | |||||||
\(564\) | 2.00734 | 0.0845242 | ||||||||
\(565\) | −0.679027 | − | 0.754136i | −0.0285669 | − | 0.0317267i | ||||
\(566\) | −2.85533 | − | 0.606918i | −0.120018 | − | 0.0255107i | ||||
\(567\) | −6.31128 | − | 19.4241i | −0.265049 | − | 0.815737i | ||||
\(568\) | 3.02226 | + | 28.7549i | 0.126811 | + | 1.20653i | ||||
\(569\) | −27.3210 | + | 5.80726i | −1.14536 | + | 0.243453i | −0.741231 | − | 0.671250i | \(-0.765758\pi\) |
−0.404126 | + | 0.914703i | \(0.632424\pi\) | |||||||
\(570\) | 0.00634750 | + | 0.00282609i | 0.000265867 | + | 0.000118372i | ||||
\(571\) | 2.25620 | + | 1.63922i | 0.0944189 | + | 0.0685994i | 0.633993 | − | 0.773339i | \(-0.281415\pi\) |
−0.539574 | + | 0.841938i | \(0.681415\pi\) | |||||||
\(572\) | −2.21619 | − | 10.7694i | −0.0926637 | − | 0.450293i | ||||
\(573\) | −5.45970 | − | 3.96670i | −0.228082 | − | 0.165711i | ||||
\(574\) | 0.177918 | − | 1.69278i | 0.00742615 | − | 0.0706551i | ||||
\(575\) | 26.0440 | − | 28.9248i | 1.08611 | − | 1.20625i | ||||
\(576\) | −4.91504 | + | 2.18832i | −0.204793 | + | 0.0911799i | ||||
\(577\) | −20.2879 | + | 14.7400i | −0.844596 | + | 0.613635i | −0.923651 | − | 0.383236i | \(-0.874810\pi\) |
0.0790551 | + | 0.996870i | \(0.474810\pi\) | |||||||
\(578\) | −2.21160 | − | 2.45624i | −0.0919906 | − | 0.102166i | ||||
\(579\) | −1.01377 | − | 9.64541i | −0.0421310 | − | 0.400850i | ||||
\(580\) | −0.0221977 | − | 0.0683174i | −0.000921708 | − | 0.00283673i | ||||
\(581\) | −14.2976 | − | 3.03905i | −0.593165 | − | 0.126081i | ||||
\(582\) | −3.32882 | + | 0.707563i | −0.137984 | + | 0.0293294i | ||||
\(583\) | 8.82948 | + | 15.2931i | 0.365680 | + | 0.633376i | ||||
\(584\) | 16.9401 | 0.700985 | ||||||||
\(585\) | 0.831929 | + | 1.16081i | 0.0343960 | + | 0.0479937i | ||||
\(586\) | 4.99407 | + | 3.62840i | 0.206303 | + | 0.149888i | ||||
\(587\) | −32.0871 | − | 14.2861i | −1.32438 | − | 0.589651i | −0.381987 | − | 0.924168i | \(-0.624760\pi\) |
−0.942390 | + | 0.334517i | \(0.891427\pi\) | |||||||
\(588\) | −0.0464762 | − | 0.0804991i | −0.00191664 | − | 0.00331973i | ||||
\(589\) | −0.987397 | + | 0.399472i | −0.0406850 | + | 0.0164600i | ||||
\(590\) | −0.429724 | −0.0176915 | ||||||||
\(591\) | −0.569493 | − | 5.41837i | −0.0234258 | − | 0.222882i | ||||
\(592\) | 8.47992 | − | 3.77550i | 0.348523 | − | 0.155172i | ||||
\(593\) | 6.67652 | − | 20.5482i | 0.274172 | − | 0.843814i | −0.715266 | − | 0.698853i | \(-0.753694\pi\) |
0.989437 | − | 0.144961i | \(-0.0463057\pi\) | |||||||
\(594\) | −1.58560 | + | 2.74634i | −0.0650579 | + | 0.112684i | ||||
\(595\) | −0.839019 | − | 1.45322i | −0.0343964 | − | 0.0595763i | ||||
\(596\) | −2.17003 | + | 0.461254i | −0.0888879 | + | 0.0188937i | ||||
\(597\) | −1.76085 | − | 5.41935i | −0.0720670 | − | 0.221799i | ||||
\(598\) | −19.2306 | − | 6.38662i | −0.786397 | − | 0.261168i | ||||
\(599\) | −9.48801 | + | 6.89344i | −0.387669 | + | 0.281658i | −0.764500 | − | 0.644624i | \(-0.777014\pi\) |
0.376830 | + | 0.926282i | \(0.377014\pi\) | |||||||
\(600\) | 4.45988 | − | 0.947976i | 0.182074 | − | 0.0387009i | ||||
\(601\) | −5.99881 | − | 2.67084i | −0.244696 | − | 0.108946i | 0.280724 | − | 0.959788i | \(-0.409425\pi\) |
−0.525421 | + | 0.850843i | \(0.676092\pi\) | |||||||
\(602\) | −17.5455 | + | 7.81177i | −0.715102 | + | 0.318384i | ||||
\(603\) | 1.10708 | + | 3.40725i | 0.0450839 | + | 0.138754i | ||||
\(604\) | −30.1362 | + | 13.4175i | −1.22623 | + | 0.545951i | ||||
\(605\) | 0.854649 | − | 0.380514i | 0.0347464 | − | 0.0154701i | ||||
\(606\) | −1.42559 | − | 4.38751i | −0.0579106 | − | 0.178230i | ||||
\(607\) | 6.79308 | − | 3.02447i | 0.275723 | − | 0.122760i | −0.264217 | − | 0.964463i | \(-0.585114\pi\) |
0.539940 | + | 0.841704i | \(0.318447\pi\) | |||||||
\(608\) | −1.02182 | − | 0.454943i | −0.0414402 | − | 0.0184504i | ||||
\(609\) | −0.327494 | + | 0.0696110i | −0.0132707 | + | 0.00282078i | ||||
\(610\) | −0.230032 | + | 0.167128i | −0.00931374 | + | 0.00676683i | ||||
\(611\) | −2.69213 | − | 13.0822i | −0.108912 | − | 0.529251i | ||||
\(612\) | 6.10345 | + | 18.7845i | 0.246717 | + | 0.759318i | ||||
\(613\) | −23.1670 | + | 4.92431i | −0.935708 | + | 0.198891i | −0.650441 | − | 0.759557i | \(-0.725416\pi\) |
−0.285267 | + | 0.958448i | \(0.592082\pi\) | |||||||
\(614\) | −9.95538 | − | 17.2432i | −0.401766 | − | 0.695880i | ||||
\(615\) | −0.0228684 | + | 0.0396093i | −0.000922144 | + | 0.00159720i | ||||
\(616\) | −4.15985 | + | 12.8027i | −0.167605 | + | 0.515836i | ||||
\(617\) | −17.6159 | + | 7.84309i | −0.709188 | + | 0.315751i | −0.729441 | − | 0.684044i | \(-0.760220\pi\) |
0.0202528 | + | 0.999795i | \(0.493553\pi\) | |||||||
\(618\) | 0.313170 | + | 2.97961i | 0.0125975 | + | 0.119858i | ||||
\(619\) | −3.77307 | −0.151652 | −0.0758262 | − | 0.997121i | \(-0.524159\pi\) | ||||
−0.0758262 | + | 0.997121i | \(0.524159\pi\) | |||||||
\(620\) | 0.604072 | − | 0.967726i | 0.0242601 | − | 0.0388648i | ||||
\(621\) | −8.37664 | − | 14.5088i | −0.336143 | − | 0.582217i | ||||
\(622\) | −6.94347 | − | 3.09143i | −0.278408 | − | 0.123955i | ||||
\(623\) | −4.05040 | − | 2.94279i | −0.162276 | − | 0.117900i | ||||
\(624\) | 0.893486 | + | 1.24671i | 0.0357681 | + | 0.0499082i | ||||
\(625\) | 24.7139 | 0.988558 | ||||||||
\(626\) | 2.45521 | + | 4.25255i | 0.0981299 | + | 0.169966i | ||||
\(627\) | −0.140646 | + | 0.0298953i | −0.00561688 | + | 0.00119390i | ||||
\(628\) | 10.4926 | + | 2.23028i | 0.418701 | + | 0.0889977i | ||||
\(629\) | 11.4515 | + | 35.2440i | 0.456601 | + | 1.40527i | ||||
\(630\) | −0.0778122 | − | 0.740334i | −0.00310011 | − | 0.0294956i | ||||
\(631\) | 14.7629 | + | 16.3958i | 0.587700 | + | 0.652707i | 0.961501 | − | 0.274802i | \(-0.0886123\pi\) |
−0.373801 | + | 0.927509i | \(0.621946\pi\) | |||||||
\(632\) | 3.17746 | − | 2.30856i | 0.126392 | − | 0.0918295i | ||||
\(633\) | 0.150823 | − | 0.0671507i | 0.00599467 | − | 0.00266900i | ||||
\(634\) | 1.20393 | − | 1.33710i | 0.0478142 | − | 0.0531030i | ||||
\(635\) | −0.0530994 | + | 0.505207i | −0.00210719 | + | 0.0200485i | ||||
\(636\) | −3.76414 | − | 2.73481i | −0.149258 | − | 0.108442i | ||||
\(637\) | −0.462298 | + | 0.410856i | −0.0183169 | + | 0.0162787i | ||||
\(638\) | −0.419538 | − | 0.304812i | −0.0166097 | − | 0.0120676i | ||||
\(639\) | 30.2272 | + | 13.4580i | 1.19577 | + | 0.532390i | ||||
\(640\) | 1.39809 | − | 0.297173i | 0.0552644 | − | 0.0117468i | ||||
\(641\) | 2.07134 | + | 19.7075i | 0.0818131 | + | 0.778400i | 0.956110 | + | 0.293008i | \(0.0946563\pi\) |
−0.874297 | + | 0.485392i | \(0.838677\pi\) | |||||||
\(642\) | −1.38575 | − | 4.26491i | −0.0546913 | − | 0.168322i | ||||
\(643\) | −43.3664 | − | 9.21782i | −1.71021 | − | 0.363515i | −0.754150 | − | 0.656702i | \(-0.771951\pi\) |
−0.956055 | + | 0.293186i | \(0.905284\pi\) | |||||||
\(644\) | −20.2595 | − | 22.5004i | −0.798335 | − | 0.886641i | ||||
\(645\) | 0.516080 | 0.0203206 | ||||||||
\(646\) | 0.319692 | − | 0.553723i | 0.0125781 | − | 0.0217859i | ||||
\(647\) | 9.14998 | − | 1.94489i | 0.359723 | − | 0.0764614i | −0.0245052 | − | 0.999700i | \(-0.507801\pi\) |
0.384228 | + | 0.923238i | \(0.374468\pi\) | |||||||
\(648\) | −2.04636 | + | 19.4698i | −0.0803886 | + | 0.764846i | ||||
\(649\) | 7.19448 | − | 5.22710i | 0.282408 | − | 0.205182i | ||||
\(650\) | −5.17679 | − | 11.8333i | −0.203051 | − | 0.464139i | ||||
\(651\) | −4.19151 | − | 3.27160i | −0.164278 | − | 0.128224i | ||||
\(652\) | −2.71696 | − | 4.70591i | −0.106404 | − | 0.184298i | ||||
\(653\) | −20.9383 | − | 9.32233i | −0.819378 | − | 0.364811i | −0.0461470 | − | 0.998935i | \(-0.514694\pi\) |
−0.773231 | + | 0.634124i | \(0.781361\pi\) | |||||||
\(654\) | 1.33637 | − | 0.594991i | 0.0522562 | − | 0.0232660i | ||||
\(655\) | 0.180417 | − | 0.555268i | 0.00704949 | − | 0.0216961i | ||||
\(656\) | 0.527118 | − | 0.912995i | 0.0205805 | − | 0.0356464i | ||||
\(657\) | 9.69292 | − | 16.7886i | 0.378157 | − | 0.654987i | ||||
\(658\) | −2.15136 | + | 6.62119i | −0.0838686 | + | 0.258121i | ||||
\(659\) | −10.0745 | − | 2.14140i | −0.392447 | − | 0.0834172i | 0.00746161 | − | 0.999972i | \(-0.497625\pi\) |
−0.399909 | + | 0.916555i | \(0.630958\pi\) | |||||||
\(660\) | 0.103046 | − | 0.114445i | 0.00401107 | − | 0.00445475i | ||||
\(661\) | 27.2520 | + | 12.1334i | 1.05998 | + | 0.471933i | 0.861282 | − | 0.508128i | \(-0.169662\pi\) |
0.198697 | + | 0.980061i | \(0.436329\pi\) | |||||||
\(662\) | 3.76677 | − | 11.5929i | 0.146400 | − | 0.450572i | ||||
\(663\) | −5.32275 | + | 3.02722i | −0.206719 | + | 0.117568i | ||||
\(664\) | 11.3352 | + | 8.23550i | 0.439891 | + | 0.319599i | ||||
\(665\) | 0.0462228 | − | 0.0513357i | 0.00179245 | − | 0.00199071i | ||||
\(666\) | −1.71840 | + | 16.3495i | −0.0665868 | + | 0.633531i | ||||
\(667\) | 2.50276 | − | 1.11430i | 0.0969074 | − | 0.0431459i | ||||
\(668\) | 9.50220 | + | 29.2448i | 0.367651 | + | 1.13151i | ||||
\(669\) | 7.13513 | − | 3.17676i | 0.275860 | − | 0.122821i | ||||
\(670\) | 0.0129837 | + | 0.123532i | 0.000501604 | + | 0.00477244i | ||||
\(671\) | 1.81830 | − | 5.59615i | 0.0701947 | − | 0.216037i | ||||
\(672\) | −0.583646 | − | 5.55302i | −0.0225146 | − | 0.214212i | ||||
\(673\) | −5.71342 | + | 6.34540i | −0.220236 | + | 0.244597i | −0.843131 | − | 0.537709i | \(-0.819290\pi\) |
0.622894 | + | 0.782306i | \(0.285957\pi\) | |||||||
\(674\) | −6.30769 | + | 7.00540i | −0.242963 | + | 0.269838i | ||||
\(675\) | 3.29991 | − | 10.1561i | 0.127014 | − | 0.390908i | ||||
\(676\) | 13.0827 | − | 14.1561i | 0.503182 | − | 0.544465i | ||||
\(677\) | −0.547972 | −0.0210603 | −0.0105301 | − | 0.999945i | \(-0.503352\pi\) | ||||
−0.0105301 | + | 0.999945i | \(0.503352\pi\) | |||||||
\(678\) | 1.88804 | − | 0.401315i | 0.0725098 | − | 0.0154124i | ||||
\(679\) | −3.53667 | + | 33.6491i | −0.135725 | + | 1.29134i | ||||
\(680\) | 0.168131 | + | 1.59966i | 0.00644753 | + | 0.0613442i | ||||
\(681\) | −0.791905 | −0.0303459 | ||||||||
\(682\) | −0.578332 | − | 8.21523i | −0.0221455 | − | 0.314577i | ||||
\(683\) | −0.589129 | + | 1.02040i | −0.0225424 | + | 0.0390446i | −0.877077 | − | 0.480351i | \(-0.840509\pi\) |
0.854534 | + | 0.519395i | \(0.173843\pi\) | |||||||
\(684\) | −0.657802 | + | 0.477921i | −0.0251517 | + | 0.0182738i | ||||
\(685\) | −0.255657 | + | 0.113826i | −0.00976814 | + | 0.00434906i | ||||
\(686\) | 13.1835 | − | 2.80223i | 0.503347 | − | 0.106990i | ||||
\(687\) | 2.86746 | + | 4.96658i | 0.109400 | + | 0.189487i | ||||
\(688\) | −11.8957 | −0.453517 | ||||||||
\(689\) | −12.7751 | + | 28.1995i | −0.486691 | + | 1.07431i | ||||
\(690\) | −0.0877034 | − | 0.269923i | −0.00333881 | − | 0.0102758i | ||||
\(691\) | 11.7790 | − | 13.0819i | 0.448094 | − | 0.497659i | −0.476201 | − | 0.879336i | \(-0.657987\pi\) |
0.924296 | + | 0.381677i | \(0.124653\pi\) | |||||||
\(692\) | −28.9767 | − | 12.9012i | −1.10153 | − | 0.490432i | ||||
\(693\) | 10.3080 | + | 11.4482i | 0.391570 | + | 0.434883i | ||||
\(694\) | 1.35866 | − | 0.987124i | 0.0515740 | − | 0.0374707i | ||||
\(695\) | 1.45625 | − | 0.648365i | 0.0552388 | − | 0.0245939i | ||||
\(696\) | 0.313917 | + | 0.0667252i | 0.0118990 | + | 0.00252921i | ||||
\(697\) | 3.40497 | + | 2.47385i | 0.128972 | + | 0.0937039i | ||||
\(698\) | −18.1354 | + | 8.07439i | −0.686434 | + | 0.305620i | ||||
\(699\) | −1.63993 | + | 1.82133i | −0.0620279 | + | 0.0688889i | ||||
\(700\) | 2.01730 | − | 19.1934i | 0.0762469 | − | 0.725441i | ||||
\(701\) | −25.8504 | + | 18.7814i | −0.976356 | + | 0.709364i | −0.956891 | − | 0.290447i | \(-0.906196\pi\) |
−0.0194644 | + | 0.999811i | \(0.506196\pi\) | |||||||
\(702\) | −5.53268 | + | 0.545243i | −0.208818 | + | 0.0205789i | ||||
\(703\) | −1.23419 | + | 0.896690i | −0.0465483 | + | 0.0338193i | ||||
\(704\) | 2.58301 | − | 2.86872i | 0.0973508 | − | 0.108119i | ||||
\(705\) | 0.125176 | − | 0.139022i | 0.00471441 | − | 0.00523588i | ||||
\(706\) | −3.55175 | − | 3.94461i | −0.133672 | − | 0.148457i | ||||
\(707\) | −45.8654 | −1.72495 | ||||||||
\(708\) | −1.17153 | + | 2.02916i | −0.0440290 | + | 0.0762604i | ||||
\(709\) | 19.1606 | + | 21.2800i | 0.719593 | + | 0.799189i | 0.986365 | − | 0.164571i | \(-0.0526239\pi\) |
−0.266772 | + | 0.963760i | \(0.585957\pi\) | |||||||
\(710\) | 0.928091 | + | 0.674298i | 0.0348306 | + | 0.0253059i | ||||
\(711\) | −0.469814 | − | 4.46998i | −0.0176194 | − | 0.167637i | ||||
\(712\) | 2.39951 | + | 4.15607i | 0.0899253 | + | 0.155755i | ||||
\(713\) | 39.1137 | + | 19.0543i | 1.46482 | + | 0.713591i | ||||
\(714\) | 3.19178 | 0.119449 | ||||||||
\(715\) | −0.884059 | − | 0.518088i | −0.0330619 | − | 0.0193754i | ||||
\(716\) | 26.2428 | + | 19.0665i | 0.980740 | + | 0.712549i | ||||
\(717\) | 5.84810 | − | 1.24305i | 0.218401 | − | 0.0464226i | ||||
\(718\) | −8.90067 | − | 15.4164i | −0.332170 | − | 0.575335i | ||||
\(719\) | −14.2805 | + | 24.7345i | −0.532573 | + | 0.922443i | 0.466704 | + | 0.884414i | \(0.345441\pi\) |
−0.999277 | + | 0.0380292i | \(0.987892\pi\) | |||||||
\(720\) | 0.142478 | − | 0.438502i | 0.00530984 | − | 0.0163420i | ||||
\(721\) | 29.1356 | + | 6.19295i | 1.08506 | + | 0.230638i | ||||
\(722\) | −13.3405 | − | 2.83561i | −0.496482 | − | 0.105531i | ||||
\(723\) | −0.977846 | + | 0.710447i | −0.0363665 | + | 0.0264218i | ||||
\(724\) | −12.2778 | − | 13.6358i | −0.456299 | − | 0.506772i | ||||
\(725\) | 1.59529 | + | 0.710269i | 0.0592476 | + | 0.0263787i | ||||
\(726\) | −0.186004 | + | 1.76971i | −0.00690327 | + | 0.0656802i | ||||
\(727\) | −11.2814 | − | 34.7206i | −0.418404 | − | 1.28771i | −0.909171 | − | 0.416423i | \(-0.863283\pi\) |
0.490767 | − | 0.871291i | \(-0.336717\pi\) | |||||||
\(728\) | −22.4915 | + | 7.14695i | −0.833590 | + | 0.264884i | ||||
\(729\) | 16.2232 | + | 11.7869i | 0.600860 | + | 0.436550i | ||||
\(730\) | 0.449740 | − | 0.499487i | 0.0166456 | − | 0.0184868i | ||||
\(731\) | 4.96410 | − | 47.2303i | 0.183604 | − | 1.74687i | ||||
\(732\) | 0.162054 | + | 1.54184i | 0.00598970 | + | 0.0569882i | ||||
\(733\) | 12.4152 | − | 38.2102i | 0.458567 | − | 1.41133i | −0.408328 | − | 0.912835i | \(-0.633888\pi\) |
0.866895 | − | 0.498490i | \(-0.166112\pi\) | |||||||
\(734\) | −2.41156 | − | 22.9445i | −0.0890124 | − | 0.846896i | ||||
\(735\) | −0.00847334 | − | 0.00180106i | −0.000312544 | − | 6.64332e-5i | ||||
\(736\) | 14.1185 | + | 43.4522i | 0.520414 | + | 1.60167i | ||||
\(737\) | −1.71999 | − | 1.91025i | −0.0633567 | − | 0.0703648i | ||||
\(738\) | 0.933548 | + | 1.61695i | 0.0343644 | + | 0.0595209i | ||||
\(739\) | −2.34170 | − | 4.05595i | −0.0861409 | − | 0.149200i | 0.819736 | − | 0.572742i | \(-0.194120\pi\) |
−0.905877 | + | 0.423541i | \(0.860787\pi\) | |||||||
\(740\) | 0.504897 | − | 1.55391i | 0.0185604 | − | 0.0571230i | ||||
\(741\) | −0.186233 | − | 0.169885i | −0.00684142 | − | 0.00624088i | ||||
\(742\) | 13.0550 | − | 9.48498i | 0.479262 | − | 0.348205i | ||||
\(743\) | −9.00953 | − | 15.6050i | −0.330528 | − | 0.572491i | 0.652088 | − | 0.758143i | \(-0.273893\pi\) |
−0.982615 | + | 0.185653i | \(0.940560\pi\) | |||||||
\(744\) | 2.39487 | + | 4.49902i | 0.0878003 | + | 0.164942i | ||||
\(745\) | −0.103376 | + | 0.179053i | −0.00378742 | + | 0.00656000i | ||||
\(746\) | 17.1978 | − | 12.4949i | 0.629656 | − | 0.457472i | ||||
\(747\) | 14.6477 | − | 6.52160i | 0.535933 | − | 0.238613i | ||||
\(748\) | −9.48247 | − | 10.5314i | −0.346714 | − | 0.385064i | ||||
\(749\) | −44.5837 | −1.62905 | ||||||||
\(750\) | 0.181253 | − | 0.313939i | 0.00661842 | − | 0.0114634i | ||||
\(751\) | −7.94379 | + | 1.68850i | −0.289873 | + | 0.0616144i | −0.350553 | − | 0.936543i | \(-0.614006\pi\) |
0.0606801 | + | 0.998157i | \(0.480673\pi\) | |||||||
\(752\) | −2.88531 | + | 3.20447i | −0.105217 | + | 0.116855i | ||||
\(753\) | 1.15509 | + | 3.55500i | 0.0420939 | + | 0.129552i | ||||
\(754\) | 0.00589784 | − | 0.909107i | 0.000214786 | − | 0.0331077i | ||||
\(755\) | −0.950016 | + | 2.92385i | −0.0345746 | + | 0.106410i | ||||
\(756\) | −7.58875 | − | 3.37873i | −0.276000 | − | 0.122883i | ||||
\(757\) | 3.87124 | − | 36.8324i | 0.140703 | − | 1.33870i | −0.665207 | − | 0.746659i | \(-0.731657\pi\) |
0.805910 | − | 0.592038i | \(-0.201677\pi\) | |||||||
\(758\) | 8.30308 | + | 1.76487i | 0.301581 | + | 0.0641031i | ||||
\(759\) | 4.75164 | + | 3.45227i | 0.172474 | + | 0.125309i | ||||
\(760\) | −0.0604906 | + | 0.0269322i | −0.00219422 | + | 0.000976932i | ||||
\(761\) | −31.6434 | − | 6.72601i | −1.14707 | − | 0.243818i | −0.405116 | − | 0.914265i | \(-0.632769\pi\) |
−0.741957 | + | 0.670448i | \(0.766102\pi\) | |||||||
\(762\) | −0.781706 | − | 0.567943i | −0.0283182 | − | 0.0205744i | ||||
\(763\) | −1.52021 | − | 14.4639i | −0.0550354 | − | 0.523627i | ||||
\(764\) | 26.7822 | − | 5.69272i | 0.968945 | − | 0.205956i | ||||
\(765\) | 1.68156 | + | 0.748680i | 0.0607971 | + | 0.0270686i | ||||
\(766\) | −2.89586 | − | 8.91255i | −0.104632 | − | 0.322023i | ||||
\(767\) | 14.7956 | + | 4.91374i | 0.534240 | + | 0.177425i | ||||
\(768\) | −1.26406 | + | 3.89039i | −0.0456130 | + | 0.140382i | ||||
\(769\) | 12.4892 | + | 21.6319i | 0.450372 | + | 0.780067i | 0.998409 | − | 0.0563870i | \(-0.0179581\pi\) |
−0.548037 | + | 0.836454i | \(0.684625\pi\) | |||||||
\(770\) | 0.267055 | + | 0.462553i | 0.00962400 | + | 0.0166693i | ||||
\(771\) | −7.33913 | − | 8.15093i | −0.264312 | − | 0.293549i | ||||
\(772\) | 31.8342 | + | 23.1289i | 1.14574 | + | 0.832428i | ||||
\(773\) | 5.48668 | + | 52.2023i | 0.197342 | + | 1.87759i | 0.426912 | + | 0.904293i | \(0.359601\pi\) |
−0.229570 | + | 0.973292i | \(0.573732\pi\) | |||||||
\(774\) | 10.5339 | − | 18.2452i | 0.378632 | − | 0.655809i | ||||
\(775\) | 7.65660 | + | 26.6546i | 0.275033 | + | 0.957462i | ||||
\(776\) | 16.2159 | − | 28.0868i | 0.582117 | − | 1.00826i | ||||
\(777\) | −6.95704 | − | 3.09748i | −0.249583 | − | 0.111121i | ||||
\(778\) | 0.188676 | − | 1.79514i | 0.00676437 | − | 0.0643587i | ||||
\(779\) | −0.0535404 | + | 0.164780i | −0.00191828 | + | 0.00590387i | ||||
\(780\) | 0.268313 | + | 0.0299619i | 0.00960714 | + | 0.00107281i | ||||
\(781\) | −23.7402 | −0.849493 | ||||||||
\(782\) | −25.5463 | + | 5.43003i | −0.913533 | + | 0.194177i | ||||
\(783\) | 0.502948 | − | 0.558581i | 0.0179739 | − | 0.0199620i | ||||
\(784\) | 0.195311 | + | 0.0415146i | 0.00697538 | + | 0.00148266i | ||||
\(785\) | 0.808774 | − | 0.587609i | 0.0288664 | − | 0.0209727i | ||||
\(786\) | 0.743084 | + | 0.825278i | 0.0265049 | + | 0.0294367i | ||||
\(787\) | −0.922217 | − | 8.77431i | −0.0328735 | − | 0.312770i | −0.998586 | − | 0.0531571i | \(-0.983072\pi\) |
0.965713 | − | 0.259613i | \(-0.0835951\pi\) | |||||||
\(788\) | 17.8831 | + | 12.9928i | 0.637058 | + | 0.462850i | ||||
\(789\) | −6.17421 | − | 1.31237i | −0.219808 | − | 0.0467216i | ||||
\(790\) | 0.0162889 | − | 0.154979i | 0.000579533 | − | 0.00551389i | ||||
\(791\) | 2.00593 | − | 19.0851i | 0.0713225 | − | 0.678588i | ||||
\(792\) | −4.56309 | − | 14.0438i | −0.162143 | − | 0.499023i | ||||
\(793\) | 9.83119 | − | 3.12398i | 0.349116 | − | 0.110936i | ||||
\(794\) | −9.53070 | + | 6.92446i | −0.338232 | + | 0.245740i | ||||
\(795\) | −0.424134 | + | 0.0901524i | −0.0150425 | + | 0.00319738i | ||||
\(796\) | 21.1204 | + | 9.40340i | 0.748592 | + | 0.333295i | ||||
\(797\) | 40.3619 | + | 8.57919i | 1.42969 | + | 0.303890i | 0.856761 | − | 0.515713i | \(-0.172473\pi\) |
0.572931 | + | 0.819604i | \(0.305806\pi\) | |||||||
\(798\) | 0.0406031 | + | 0.124963i | 0.00143733 | + | 0.00442366i | ||||
\(799\) | −11.5189 | − | 12.7930i | −0.407509 | − | 0.452585i | ||||
\(800\) | −14.5611 | + | 25.2206i | −0.514814 | + | 0.891683i | ||||
\(801\) | 5.49188 | 0.194046 | ||||||||
\(802\) | 11.8217 | + | 13.1293i | 0.417437 | + | 0.463611i | ||||
\(803\) | −1.45391 | + | 13.8330i | −0.0513073 | + | 0.488156i | ||||
\(804\) | 0.618712 | + | 0.275469i | 0.0218203 | + | 0.00971503i | ||||
\(805\) | −2.82168 | −0.0994510 | ||||||||
\(806\) | 11.1157 | − | 9.21376i | 0.391535 | − | 0.324541i | ||||
\(807\) | 1.56343 | 0.0550354 | ||||||||
\(808\) | 40.1631 | + | 17.8818i | 1.41293 | + | 0.629078i | ||||
\(809\) | 0.917283 | − | 8.72736i | 0.0322500 | − | 0.306838i | −0.966492 | − | 0.256696i | \(-0.917366\pi\) |
0.998742 | − | 0.0501417i | \(-0.0159673\pi\) | |||||||
\(810\) | 0.519749 | + | 0.577239i | 0.0182621 | + | 0.0202821i | ||||
\(811\) | 4.73828 | 0.166384 | 0.0831918 | − | 0.996534i | \(-0.473489\pi\) | ||||
0.0831918 | + | 0.996534i | \(0.473489\pi\) | |||||||
\(812\) | 0.679203 | − | 1.17641i | 0.0238354 | − | 0.0412840i | ||||
\(813\) | 1.04676 | + | 1.16254i | 0.0367114 | + | 0.0407721i | ||||
\(814\) | −3.64495 | − | 11.2180i | −0.127755 | − | 0.393190i | ||||
\(815\) | −0.495345 | − | 0.105289i | −0.0173512 | − | 0.00368810i | ||||
\(816\) | 1.80599 | + | 0.804078i | 0.0632222 | + | 0.0281484i | ||||
\(817\) | 1.91229 | − | 0.406471i | 0.0669027 | − | 0.0142206i | ||||
\(818\) | −8.36162 | + | 6.07507i | −0.292357 | + | 0.212410i | ||||
\(819\) | −5.78633 | + | 26.3798i | −0.202191 | + | 0.921786i | ||||
\(820\) | −0.0573428 | − | 0.176483i | −0.00200250 | − | 0.00616305i | ||||
\(821\) | 3.19507 | − | 30.3991i | 0.111509 | − | 1.06093i | −0.785482 | − | 0.618885i | \(-0.787585\pi\) |
0.896991 | − | 0.442050i | \(-0.145749\pi\) | |||||||
\(822\) | 0.0556407 | − | 0.529386i | 0.00194069 | − | 0.0184645i | ||||
\(823\) | −53.6123 | − | 11.3957i | −1.86881 | − | 0.397227i | −0.872924 | − | 0.487857i | \(-0.837779\pi\) |
−0.995885 | + | 0.0906297i | \(0.971112\pi\) | |||||||
\(824\) | −23.0987 | − | 16.7822i | −0.804683 | − | 0.584636i | ||||
\(825\) | 0.391327 | + | 3.72323i | 0.0136243 | + | 0.129626i | ||||
\(826\) | −5.43757 | − | 6.03904i | −0.189197 | − | 0.210125i | ||||
\(827\) | −19.6257 | + | 14.2589i | −0.682452 | + | 0.495830i | −0.874170 | − | 0.485620i | \(-0.838594\pi\) |
0.191718 | + | 0.981450i | \(0.438594\pi\) | |||||||
\(828\) | 32.4865 | + | 6.90522i | 1.12898 | + | 0.239973i | ||||
\(829\) | 35.2685 | − | 39.1697i | 1.22493 | − | 1.36042i | 0.313164 | − | 0.949699i | \(-0.398611\pi\) |
0.911762 | − | 0.410719i | \(-0.134722\pi\) | |||||||
\(830\) | 0.543764 | − | 0.115581i | 0.0188743 | − | 0.00401186i | ||||
\(831\) | 11.1092 | 0.385375 | ||||||||
\(832\) | 6.72566 | + | 0.751040i | 0.233170 | + | 0.0260376i | ||||
\(833\) | −0.246333 | + | 0.758134i | −0.00853492 | + | 0.0262678i | ||||
\(834\) | −0.316936 | + | 3.01545i | −0.0109746 | + | 0.104416i | ||||
\(835\) | 2.61795 | + | 1.16559i | 0.0905980 | + | 0.0403368i | ||||
\(836\) | 0.291692 | − | 0.505226i | 0.0100884 | − | 0.0174736i | ||||
\(837\) | 11.9298 | + | 0.411004i | 0.412356 | + | 0.0142064i | ||||
\(838\) | −4.62540 | + | 8.01143i | −0.159782 | + | 0.276750i | ||||
\(839\) | −2.15669 | − | 20.5195i | −0.0744572 | − | 0.708413i | −0.966536 | − | 0.256532i | \(-0.917420\pi\) |
0.892079 | − | 0.451880i | \(-0.149247\pi\) | |||||||
\(840\) | −0.267415 | − | 0.194289i | −0.00922671 | − | 0.00670359i | ||||
\(841\) | −19.3225 | − | 21.4599i | −0.666295 | − | 0.739995i | ||||
\(842\) | 10.1091 | + | 17.5096i | 0.348384 | + | 0.603419i | ||||
\(843\) | 2.54531 | + | 4.40861i | 0.0876652 | + | 0.151840i | ||||
\(844\) | −0.206990 | + | 0.637051i | −0.00712490 | + | 0.0219282i | ||||
\(845\) | −0.164579 | − | 1.78883i | −0.00566167 | − | 0.0615378i | ||||
\(846\) | −2.35990 | − | 7.26303i | −0.0811351 | − | 0.249708i | ||||
\(847\) | 16.1619 | + | 7.19574i | 0.555329 | + | 0.247248i | ||||
\(848\) | 9.77629 | − | 2.07802i | 0.335719 | − | 0.0713594i | ||||
\(849\) | 0.155050 | + | 1.47520i | 0.00532129 | + | 0.0506287i | ||||
\(850\) | −13.4679 | − | 9.78501i | −0.461946 | − | 0.335623i | ||||
\(851\) | 60.9522 | + | 12.9558i | 2.08941 | + | 0.444119i | ||||
\(852\) | 5.71424 | − | 2.54414i | 0.195767 | − | 0.0871609i | ||||
\(853\) | −30.5394 | − | 22.1882i | −1.04565 | − | 0.759710i | −0.0742699 | − | 0.997238i | \(-0.523663\pi\) |
−0.971381 | + | 0.237529i | \(0.923663\pi\) | |||||||
\(854\) | −5.25945 | − | 1.11793i | −0.179975 | − | 0.0382548i | ||||
\(855\) | −0.00792067 | + | 0.0753601i | −0.000270881 | + | 0.00257726i | ||||
\(856\) | 39.0408 | + | 17.3821i | 1.33439 | + | 0.594107i | ||||
\(857\) | 11.2725 | − | 34.6933i | 0.385063 | − | 1.18510i | −0.551372 | − | 0.834260i | \(-0.685895\pi\) |
0.936435 | − | 0.350842i | \(-0.114105\pi\) | |||||||
\(858\) | 1.69420 | − | 0.963549i | 0.0578392 | − | 0.0328950i | ||||
\(859\) | −8.40285 | − | 25.8613i | −0.286701 | − | 0.882376i | −0.985884 | − | 0.167433i | \(-0.946452\pi\) |
0.699182 | − | 0.714944i | \(-0.253548\pi\) | |||||||
\(860\) | −1.40106 | + | 1.55604i | −0.0477759 | + | 0.0530605i | ||||
\(861\) | −0.846009 | + | 0.179825i | −0.0288319 | + | 0.00612841i | ||||
\(862\) | −8.30879 | + | 14.3913i | −0.282999 | + | 0.490168i | ||||
\(863\) | −44.6541 | −1.52004 | −0.760022 | − | 0.649897i | \(-0.774812\pi\) | ||||
−0.760022 | + | 0.649897i | \(0.774812\pi\) | |||||||
\(864\) | 8.38762 | + | 9.31540i | 0.285353 | + | 0.316916i | ||||
\(865\) | −2.70046 | + | 1.20232i | −0.0918185 | + | 0.0408802i | ||||
\(866\) | −12.5493 | + | 9.11759i | −0.426442 | + | 0.309828i | ||||
\(867\) | −0.839753 | + | 1.45450i | −0.0285195 | + | 0.0493973i | ||||
\(868\) | 21.2434 | − | 3.75605i | 0.721050 | − | 0.127489i | ||||
\(869\) | 1.61242 | + | 2.79280i | 0.0546977 | + | 0.0947393i | ||||
\(870\) | 0.0103016 | − | 0.00748454i | 0.000349256 | − | 0.000253750i | ||||
\(871\) | 0.965503 | − | 4.40172i | 0.0327148 | − | 0.149147i | ||||
\(872\) | −4.30789 | + | 13.2583i | −0.145884 | + | 0.448983i | ||||
\(873\) | −18.5571 | − | 32.1419i | −0.628064 | − | 1.08784i | ||||
\(874\) | −0.537573 | − | 0.931103i | −0.0181837 | − | 0.0314950i | ||||
\(875\) | −2.41157 | − | 2.67832i | −0.0815259 | − | 0.0905436i | ||||
\(876\) | −1.13247 | − | 3.48539i | −0.0382627 | − | 0.117761i | ||||
\(877\) | 44.5694 | + | 9.47352i | 1.50500 | + | 0.319898i | 0.885330 | − | 0.464963i | \(-0.153933\pi\) |
0.619671 | + | 0.784861i | \(0.287266\pi\) | |||||||
\(878\) | 1.41961 | + | 13.5067i | 0.0479096 | + | 0.455829i | ||||
\(879\) | 0.969313 | − | 2.98324i | 0.0326941 | − | 0.100622i | ||||
\(880\) | 0.0345794 | + | 0.329001i | 0.00116567 | + | 0.0110906i | ||||
\(881\) | −3.90501 | + | 37.1537i | −0.131563 | + | 1.25174i | 0.707110 | + | 0.707103i | \(0.249998\pi\) |
−0.838673 | + | 0.544635i | \(0.816668\pi\) | |||||||
\(882\) | −0.236626 | + | 0.262799i | −0.00796760 | + | 0.00884892i | ||||
\(883\) | 16.6075 | + | 12.0661i | 0.558887 | + | 0.406056i | 0.831052 | − | 0.556195i | \(-0.187739\pi\) |
−0.272164 | + | 0.962251i | \(0.587739\pi\) | |||||||
\(884\) | 5.32290 | − | 24.2671i | 0.179029 | − | 0.816190i | ||||
\(885\) | 0.0674773 | + | 0.207674i | 0.00226822 | + | 0.00698087i | ||||
\(886\) | −0.186564 | + | 1.77504i | −0.00626775 | + | 0.0596337i | ||||
\(887\) | 4.65205 | + | 2.07122i | 0.156200 | + | 0.0695449i | 0.483348 | − | 0.875428i | \(-0.339421\pi\) |
−0.327147 | + | 0.944973i | \(0.606087\pi\) | |||||||
\(888\) | 4.88447 | + | 5.42475i | 0.163912 | + | 0.182043i | ||||
\(889\) | −7.77172 | + | 5.64648i | −0.260655 | + | 0.189377i | ||||
\(890\) | 0.186248 | + | 0.0395882i | 0.00624304 | + | 0.00132700i | ||||
\(891\) | −15.7231 | − | 3.34205i | −0.526745 | − | 0.111963i | ||||
\(892\) | −9.79230 | + | 30.1376i | −0.327870 | + | 1.00908i | ||||
\(893\) | 0.354335 | − | 0.613726i | 0.0118574 | − | 0.0205376i | ||||
\(894\) | −0.196631 | − | 0.340575i | −0.00657633 | − | 0.0113905i | ||||
\(895\) | 2.95697 | − | 0.628524i | 0.0988406 | − | 0.0210092i | ||||
\(896\) | 21.8672 | + | 15.8874i | 0.730531 | + | 0.530762i | ||||
\(897\) | −0.0667983 | + | 10.2965i | −0.00223033 | + | 0.343789i | ||||
\(898\) | 3.66317 | 0.122242 | ||||||||
\(899\) | −0.270762 | + | 1.93314i | −0.00903041 | + | 0.0644738i | ||||
\(900\) | 10.5849 | + | 18.3337i | 0.352831 | + | 0.611122i | ||||
\(901\) | 4.17083 | + | 39.6828i | 0.138950 | + | 1.32202i | ||||
\(902\) | −1.08378 | − | 0.787414i | −0.0360860 | − | 0.0262180i | ||||
\(903\) | 6.53028 | + | 7.25261i | 0.217314 | + | 0.241352i | ||||
\(904\) | −9.19734 | + | 15.9303i | −0.305899 | + | 0.529833i | ||||
\(905\) | −1.71001 | −0.0568426 | ||||||||
\(906\) | −3.91283 | − | 4.34563i | −0.129995 | − | 0.144374i | ||||
\(907\) | −26.0883 | + | 28.9740i | −0.866248 | + | 0.962066i | −0.999579 | − | 0.0290060i | \(-0.990766\pi\) |
0.133332 | + | 0.991071i | \(0.457432\pi\) | |||||||
\(908\) | 2.14988 | − | 2.38769i | 0.0713463 | − | 0.0792381i | ||||
\(909\) | 40.7028 | − | 29.5723i | 1.35003 | − | 0.980852i | ||||
\(910\) | −0.386392 | + | 0.852917i | −0.0128088 | + | 0.0282739i | ||||
\(911\) | −16.6253 | + | 12.0790i | −0.550821 | + | 0.400195i | −0.828088 | − | 0.560598i | \(-0.810571\pi\) |
0.277267 | + | 0.960793i | \(0.410571\pi\) | |||||||
\(912\) | −0.00850675 | + | 0.0809363i | −0.000281687 | + | 0.00268007i | ||||
\(913\) | −7.69785 | + | 8.54933i | −0.254762 | + | 0.282941i | ||||
\(914\) | 23.2444 | − | 10.3491i | 0.768857 | − | 0.342317i | ||||
\(915\) | 0.116889 | + | 0.0849249i | 0.00386423 | + | 0.00280753i | ||||
\(916\) | −22.7595 | − | 4.83767i | −0.751994 | − | 0.159841i | ||||
\(917\) | 10.0863 | − | 4.49070i | 0.333078 | − | 0.148296i | ||||
\(918\) | −5.79700 | + | 4.21177i | −0.191330 | + | 0.139009i | ||||
\(919\) | −1.24336 | − | 1.38089i | −0.0410146 | − | 0.0455513i | 0.722288 | − | 0.691592i | \(-0.243090\pi\) |
−0.763303 | + | 0.646041i | \(0.776424\pi\) | |||||||
\(920\) | 2.47087 | + | 1.10010i | 0.0814621 | + | 0.0362693i | ||||
\(921\) | −6.76992 | + | 7.51876i | −0.223077 | + | 0.247752i | ||||
\(922\) | −3.70880 | − | 11.4145i | −0.122143 | − | 0.375917i | ||||
\(923\) | −24.2443 | − | 33.8288i | −0.798012 | − | 1.11349i | ||||
\(924\) | 2.91223 | 0.0958054 | ||||||||
\(925\) | 19.8598 | + | 34.3982i | 0.652986 | + | 1.13100i | ||||
\(926\) | 21.6668 | − | 4.60542i | 0.712015 | − | 0.151343i | ||||
\(927\) | −29.8491 | + | 13.2897i | −0.980372 | + | 0.436490i | ||||
\(928\) | −1.65835 | + | 1.20486i | −0.0544379 | + | 0.0395515i | ||||
\(929\) | −4.10939 | + | 7.11766i | −0.134825 | + | 0.233523i | −0.925530 | − | 0.378673i | \(-0.876380\pi\) |
0.790706 | + | 0.612196i | \(0.209714\pi\) | |||||||
\(930\) | 0.196237 | + | 0.0488298i | 0.00643486 | + | 0.00160119i | ||||
\(931\) | −0.0328158 | −0.00107550 | ||||||||
\(932\) | −1.03939 | − | 9.88916i | −0.0340464 | − | 0.323930i | ||||
\(933\) | −0.403707 | + | 3.84101i | −0.0132168 | + | 0.125749i | ||||
\(934\) | 13.7281 | − | 2.91800i | 0.449198 | − | 0.0954799i | ||||
\(935\) | −1.32069 | −0.0431912 | ||||||||
\(936\) | 15.3518 | − | 20.8442i | 0.501788 | − | 0.681313i | ||||
\(937\) | −7.63678 | + | 23.5036i | −0.249483 | + | 0.767829i | 0.745384 | + | 0.666636i | \(0.232266\pi\) |
−0.994867 | + | 0.101194i | \(0.967734\pi\) | |||||||
\(938\) | −1.57173 | + | 1.74559i | −0.0513189 | + | 0.0569954i | ||||
\(939\) | 1.66961 | − | 1.85429i | 0.0544856 | − | 0.0605124i | ||||
\(940\) | 0.0793370 | + | 0.754841i | 0.00258769 | + | 0.0246202i | ||||
\(941\) | 13.2504 | − | 40.7805i | 0.431951 | − | 1.32941i | −0.464229 | − | 0.885715i | \(-0.653668\pi\) |
0.896179 | − | 0.443692i | \(-0.146332\pi\) | |||||||
\(942\) | 0.198763 | + | 1.89110i | 0.00647604 | + | 0.0616154i | ||||
\(943\) | 6.46534 | − | 2.87855i | 0.210540 | − | 0.0937386i | ||||
\(944\) | −1.55535 | − | 4.78688i | −0.0506224 | − | 0.155800i | ||||
\(945\) | −0.707229 | + | 0.314879i | −0.0230062 | + | 0.0102430i | ||||
\(946\) | −1.58005 | + | 15.0331i | −0.0513717 | + | 0.488769i | ||||
\(947\) | 37.1383 | − | 41.2463i | 1.20683 | − | 1.34032i | 0.282252 | − | 0.959340i | \(-0.408918\pi\) |
0.924581 | − | 0.380985i | \(-0.124415\pi\) | |||||||
\(948\) | −0.687401 | − | 0.499426i | −0.0223257 | − | 0.0162206i | ||||
\(949\) | −21.1962 | + | 12.0550i | −0.688059 | + | 0.391321i | ||||
\(950\) | 0.211772 | − | 0.651768i | 0.00687080 | − | 0.0211462i | ||||
\(951\) | −0.835230 | − | 0.371868i | −0.0270842 | − | 0.0120587i | ||||
\(952\) | −20.3530 | + | 22.6043i | −0.659645 | + | 0.732610i | ||||
\(953\) | 28.5067 | + | 6.05928i | 0.923421 | + | 0.196279i | 0.645002 | − | 0.764181i | \(-0.276856\pi\) |
0.278419 | + | 0.960460i | \(0.410190\pi\) | |||||||
\(954\) | −5.46993 | + | 16.8347i | −0.177095 | + | 0.545044i | ||||
\(955\) | 1.27585 | − | 2.20985i | 0.0412857 | − | 0.0715089i | ||||
\(956\) | −12.1286 | + | 21.0074i | −0.392267 | + | 0.679427i | ||||
\(957\) | −0.0814293 | + | 0.250614i | −0.00263224 | + | 0.00810119i | ||||
\(958\) | 17.2566 | − | 7.68315i | 0.557536 | − | 0.248231i | ||||
\(959\) | −4.83461 | − | 2.15251i | −0.156118 | − | 0.0695081i | ||||
\(960\) | 0.0473934 | + | 0.0820878i | 0.00152962 | + | 0.00264937i | ||||
\(961\) | −26.2741 | + | 16.4521i | −0.847551 | + | 0.530714i | ||||
\(962\) | 12.2628 | − | 16.6501i | 0.395369 | − | 0.536820i | ||||
\(963\) | 39.5654 | − | 28.7460i | 1.27498 | − | 0.926325i | ||||
\(964\) | 0.512599 | − | 4.87705i | 0.0165097 | − | 0.157079i | ||||
\(965\) | 3.58700 | − | 0.762440i | 0.115470 | − | 0.0245438i | ||||
\(966\) | 2.68354 | − | 4.64803i | 0.0863415 | − | 0.149548i | ||||
\(967\) | 0.275020 | 0.00884404 | 0.00442202 | − | 0.999990i | \(-0.498592\pi\) | ||||
0.00442202 | + | 0.999990i | \(0.498592\pi\) | |||||||
\(968\) | −11.3471 | − | 12.6022i | −0.364710 | − | 0.405051i | ||||
\(969\) | −0.317798 | − | 0.0675500i | −0.0102091 | − | 0.00217002i | ||||
\(970\) | −0.397639 | − | 1.22381i | −0.0127674 | − | 0.0392941i | ||||
\(971\) | 0.0597782 | + | 0.568752i | 0.00191837 | + | 0.0182521i | 0.995439 | − | 0.0953980i | \(-0.0304124\pi\) |
−0.993521 | + | 0.113650i | \(0.963746\pi\) | |||||||
\(972\) | 13.4710 | − | 2.86335i | 0.432083 | − | 0.0918421i | ||||
\(973\) | 27.5385 | + | 12.2609i | 0.882845 | + | 0.393068i | ||||
\(974\) | −6.04800 | − | 4.39413i | −0.193790 | − | 0.140797i | ||||
\(975\) | −4.90581 | + | 4.35991i | −0.157112 | + | 0.139629i | ||||
\(976\) | −2.69430 | − | 1.95752i | −0.0862424 | − | 0.0626587i | ||||
\(977\) | −3.21928 | + | 30.6294i | −0.102994 | + | 0.979922i | 0.813958 | + | 0.580924i | \(0.197309\pi\) |
−0.916952 | + | 0.398998i | \(0.869358\pi\) | |||||||
\(978\) | 0.644533 | − | 0.715826i | 0.0206099 | − | 0.0228896i | ||||
\(979\) | −3.59972 | + | 1.60270i | −0.115048 | + | 0.0512225i | ||||
\(980\) | 0.0284340 | − | 0.0206585i | 0.000908292 | − | 0.000659912i | ||||
\(981\) | 10.6749 | + | 11.8556i | 0.340822 | + | 0.378522i | ||||
\(982\) | −1.59895 | − | 15.2130i | −0.0510245 | − | 0.485466i | ||||
\(983\) | 3.06678 | + | 9.43858i | 0.0978151 | + | 0.301044i | 0.987977 | − | 0.154600i | \(-0.0494090\pi\) |
−0.890162 | + | 0.455644i | \(0.849409\pi\) | |||||||
\(984\) | 0.810936 | + | 0.172370i | 0.0258517 | + | 0.00549495i | ||||
\(985\) | 2.01502 | − | 0.428305i | 0.0642038 | − | 0.0136469i | ||||
\(986\) | −0.585876 | − | 1.01477i | −0.0186581 | − | 0.0323167i | ||||
\(987\) | 3.53765 | 0.112605 | ||||||||
\(988\) | 1.01781 | − | 0.100305i | 0.0323809 | − | 0.00319112i | ||||
\(989\) | −64.6055 | − | 46.9386i | −2.05433 | − | 1.49256i | ||||
\(990\) | −0.535233 | − | 0.238301i | −0.0170108 | − | 0.00757370i | ||||
\(991\) | −13.8915 | − | 24.0608i | −0.441279 | − | 0.764318i | 0.556506 | − | 0.830844i | \(-0.312142\pi\) |
−0.997785 | + | 0.0665260i | \(0.978808\pi\) | |||||||
\(992\) | −31.5902 | − | 7.86061i | −1.00299 | − | 0.249574i | ||||
\(993\) | −6.19402 | −0.196561 | ||||||||
\(994\) | 2.26763 | + | 21.5750i | 0.0719248 | + | 0.684319i | ||||
\(995\) | 1.96830 | − | 0.876345i | 0.0623994 | − | 0.0277820i | ||||
\(996\) | 0.936664 | − | 2.88275i | 0.0296793 | − | 0.0913436i | ||||
\(997\) | 13.9177 | − | 24.1062i | 0.440779 | − | 0.763451i | −0.556969 | − | 0.830533i | \(-0.688036\pi\) |
0.997747 | + | 0.0670823i | \(0.0213690\pi\) | |||||||
\(998\) | 2.45292 | + | 4.24858i | 0.0776457 | + | 0.134486i | ||||
\(999\) | 16.7229 | − | 3.55457i | 0.529090 | − | 0.112462i |
(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 | 403.2.bl.b.16.13 | ✓ | 280 | |
13.9 | even | 3 | inner | 403.2.bl.b.295.23 | yes | 280 | |
31.2 | even | 5 | inner | 403.2.bl.b.250.23 | yes | 280 | |
403.126 | even | 15 | inner | 403.2.bl.b.126.13 | yes | 280 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
403.2.bl.b.16.13 | ✓ | 280 | 1.1 | even | 1 | trivial | |
403.2.bl.b.126.13 | yes | 280 | 403.126 | even | 15 | inner | |
403.2.bl.b.250.23 | yes | 280 | 31.2 | even | 5 | inner | |
403.2.bl.b.295.23 | yes | 280 | 13.9 | even | 3 | inner |