Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [930,2,Mod(47,930)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(930, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([10, 5, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("930.47");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 930.bk (of order \(20\), 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: | \(7.42608738798\) |
Analytic rank: | \(0\) |
Dimension: | \(512\) |
Relative dimension: | \(64\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 47.51 | ||
Character | \(\chi\) | \(=\) | 930.47 |
Dual form | 930.2.bk.a.653.51 |
$q$-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 \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).
\(n\) | \(187\) | \(311\) | \(871\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(-1\) | \(e\left(\frac{1}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.156434 | − | 0.987688i | 0.110616 | − | 0.698401i | ||||
\(3\) | 0.424210 | + | 1.67930i | 0.244918 | + | 0.969544i | ||||
\(4\) | −0.951057 | − | 0.309017i | −0.475528 | − | 0.154508i | ||||
\(5\) | 2.08414 | + | 0.810158i | 0.932056 | + | 0.362314i | ||||
\(6\) | 1.72499 | − | 0.156287i | 0.704222 | − | 0.0638038i | ||||
\(7\) | 2.37194 | − | 1.20856i | 0.896509 | − | 0.456794i | 0.0558998 | − | 0.998436i | \(-0.482197\pi\) |
0.840609 | + | 0.541642i | \(0.182197\pi\) | |||||||
\(8\) | −0.453990 | + | 0.891007i | −0.160510 | + | 0.315018i | ||||
\(9\) | −2.64009 | + | 1.42475i | −0.880031 | + | 0.474917i | ||||
\(10\) | 1.12621 | − | 1.93175i | 0.356140 | − | 0.610872i | ||||
\(11\) | 2.63793 | + | 0.857115i | 0.795366 | + | 0.258430i | 0.678387 | − | 0.734704i | \(-0.262679\pi\) |
0.116978 | + | 0.993134i | \(0.462679\pi\) | |||||||
\(12\) | 0.115485 | − | 1.72820i | 0.0333375 | − | 0.498887i | ||||
\(13\) | 0.917596 | − | 0.145333i | 0.254495 | − | 0.0403081i | −0.0278831 | − | 0.999611i | \(-0.508877\pi\) |
0.282378 | + | 0.959303i | \(0.408877\pi\) | |||||||
\(14\) | −0.822631 | − | 2.53180i | −0.219857 | − | 0.676652i | ||||
\(15\) | −0.476384 | + | 3.84357i | −0.123002 | + | 0.992406i | ||||
\(16\) | 0.809017 | + | 0.587785i | 0.202254 | + | 0.146946i | ||||
\(17\) | 1.36156 | + | 0.693749i | 0.330226 | + | 0.168259i | 0.611241 | − | 0.791445i | \(-0.290671\pi\) |
−0.281014 | + | 0.959704i | \(0.590671\pi\) | |||||||
\(18\) | 0.994208 | + | 2.83047i | 0.234337 | + | 0.667148i | ||||
\(19\) | −1.62715 | − | 2.23958i | −0.373294 | − | 0.513795i | 0.580498 | − | 0.814261i | \(-0.302858\pi\) |
−0.953792 | + | 0.300466i | \(0.902858\pi\) | |||||||
\(20\) | −1.73178 | − | 1.41454i | −0.387239 | − | 0.316301i | ||||
\(21\) | 3.03574 | + | 3.47051i | 0.662453 | + | 0.757328i | ||||
\(22\) | 1.25923 | − | 2.47137i | 0.268468 | − | 0.526898i | ||||
\(23\) | 0.646536 | − | 1.26890i | 0.134812 | − | 0.264584i | −0.813725 | − | 0.581250i | \(-0.802564\pi\) |
0.948537 | + | 0.316667i | \(0.102564\pi\) | |||||||
\(24\) | −1.68885 | − | 0.384412i | −0.344736 | − | 0.0784678i | ||||
\(25\) | 3.68729 | + | 3.37697i | 0.737458 | + | 0.675393i | ||||
\(26\) | − | 0.929034i | − | 0.182199i | ||||||
\(27\) | −3.51253 | − | 3.82911i | −0.675988 | − | 0.736913i | ||||
\(28\) | −2.62932 | + | 0.416443i | −0.496894 | + | 0.0787003i | ||||
\(29\) | 1.38108 | − | 1.00341i | 0.256460 | − | 0.186329i | −0.452125 | − | 0.891955i | \(-0.649334\pi\) |
0.708585 | + | 0.705626i | \(0.249334\pi\) | |||||||
\(30\) | 3.72173 | + | 1.07179i | 0.679492 | + | 0.195681i | ||||
\(31\) | −4.79140 | + | 2.83593i | −0.860560 | + | 0.509349i | ||||
\(32\) | 0.707107 | − | 0.707107i | 0.125000 | − | 0.125000i | ||||
\(33\) | −0.320318 | + | 4.79347i | −0.0557602 | + | 0.834436i | ||||
\(34\) | 0.898202 | − | 1.23627i | 0.154040 | − | 0.212018i | ||||
\(35\) | 5.92258 | − | 0.597172i | 1.00110 | − | 0.100940i | ||||
\(36\) | 2.95115 | − | 0.539185i | 0.491858 | − | 0.0898641i | ||||
\(37\) | −1.76024 | − | 1.76024i | −0.289381 | − | 0.289381i | 0.547454 | − | 0.836835i | \(-0.315597\pi\) |
−0.836835 | + | 0.547454i | \(0.815597\pi\) | |||||||
\(38\) | −2.46655 | + | 1.25677i | −0.400127 | + | 0.203875i | ||||
\(39\) | 0.633311 | + | 1.47927i | 0.101411 | + | 0.236872i | ||||
\(40\) | −1.66804 | + | 1.48918i | −0.263740 | + | 0.235460i | ||||
\(41\) | −0.267066 | − | 0.367584i | −0.0417087 | − | 0.0574070i | 0.787653 | − | 0.616119i | \(-0.211296\pi\) |
−0.829362 | + | 0.558712i | \(0.811296\pi\) | |||||||
\(42\) | 3.90268 | − | 2.45546i | 0.602196 | − | 0.378885i | ||||
\(43\) | −1.36663 | + | 8.62854i | −0.208409 | + | 1.31584i | 0.632457 | + | 0.774596i | \(0.282047\pi\) |
−0.840865 | + | 0.541244i | \(0.817953\pi\) | |||||||
\(44\) | −2.24396 | − | 1.63033i | −0.338289 | − | 0.245782i | ||||
\(45\) | −6.65660 | + | 0.830489i | −0.992307 | + | 0.123802i | ||||
\(46\) | −1.15214 | − | 0.837075i | −0.169873 | − | 0.123420i | ||||
\(47\) | 8.72599 | − | 1.38206i | 1.27282 | − | 0.201594i | 0.516777 | − | 0.856120i | \(-0.327132\pi\) |
0.756040 | + | 0.654526i | \(0.227132\pi\) | |||||||
\(48\) | −0.643874 | + | 1.60793i | −0.0929353 | + | 0.232084i | ||||
\(49\) | 0.0509748 | − | 0.0701608i | 0.00728211 | − | 0.0100230i | ||||
\(50\) | 3.91221 | − | 3.11362i | 0.553270 | − | 0.440332i | ||||
\(51\) | −0.587425 | + | 2.58076i | −0.0822560 | + | 0.361379i | ||||
\(52\) | −0.917596 | − | 0.145333i | −0.127248 | − | 0.0201540i | ||||
\(53\) | −0.749270 | + | 1.47053i | −0.102920 | + | 0.201992i | −0.936724 | − | 0.350068i | \(-0.886158\pi\) |
0.833804 | + | 0.552061i | \(0.186158\pi\) | |||||||
\(54\) | −4.33145 | + | 2.87028i | −0.589436 | + | 0.390596i | ||||
\(55\) | 4.80342 | + | 3.92349i | 0.647693 | + | 0.529043i | ||||
\(56\) | 2.66209i | 0.355737i | ||||||||
\(57\) | 3.07067 | − | 3.68253i | 0.406721 | − | 0.487762i | ||||
\(58\) | −0.775010 | − | 1.52104i | −0.101764 | − | 0.199723i | ||||
\(59\) | 8.16490 | + | 5.93215i | 1.06298 | + | 0.772300i | 0.974637 | − | 0.223791i | \(-0.0718432\pi\) |
0.0883419 | + | 0.996090i | \(0.471843\pi\) | |||||||
\(60\) | 1.64080 | − | 3.50824i | 0.211826 | − | 0.452912i | ||||
\(61\) | −1.40880 | −0.180378 | −0.0901892 | − | 0.995925i | \(-0.528747\pi\) | ||||
−0.0901892 | + | 0.995925i | \(0.528747\pi\) | |||||||
\(62\) | 2.05148 | + | 5.17604i | 0.260538 | + | 0.657358i | ||||
\(63\) | −4.54024 | + | 6.57014i | −0.572016 | + | 0.827760i | ||||
\(64\) | −0.587785 | − | 0.809017i | −0.0734732 | − | 0.101127i | ||||
\(65\) | 2.03014 | + | 0.440503i | 0.251808 | + | 0.0546377i | ||||
\(66\) | 4.68435 | + | 1.06624i | 0.576603 | + | 0.131245i | ||||
\(67\) | −8.54103 | − | 8.54103i | −1.04345 | − | 1.04345i | −0.999012 | − | 0.0444405i | \(-0.985849\pi\) |
−0.0444405 | − | 0.999012i | \(-0.514151\pi\) | |||||||
\(68\) | −1.08054 | − | 1.08054i | −0.131035 | − | 0.131035i | ||||
\(69\) | 2.40513 | + | 0.547448i | 0.289543 | + | 0.0659050i | ||||
\(70\) | 0.336677 | − | 5.94309i | 0.0402406 | − | 0.710335i | ||||
\(71\) | 1.44860 | − | 0.470678i | 0.171917 | − | 0.0558592i | −0.221794 | − | 0.975094i | \(-0.571191\pi\) |
0.393711 | + | 0.919234i | \(0.371191\pi\) | |||||||
\(72\) | −0.0708850 | − | 2.99916i | −0.00835387 | − | 0.353455i | ||||
\(73\) | −1.04184 | − | 2.04472i | −0.121938 | − | 0.239316i | 0.821966 | − | 0.569536i | \(-0.192877\pi\) |
−0.943904 | + | 0.330220i | \(0.892877\pi\) | |||||||
\(74\) | −2.01393 | + | 1.46320i | −0.234114 | + | 0.170094i | ||||
\(75\) | −4.10675 | + | 7.62460i | −0.474207 | + | 0.880413i | ||||
\(76\) | 0.855444 | + | 2.63279i | 0.0981261 | + | 0.302001i | ||||
\(77\) | 7.29289 | − | 1.15508i | 0.831102 | − | 0.131634i | ||||
\(78\) | 1.56013 | − | 0.394105i | 0.176649 | − | 0.0446236i | ||||
\(79\) | 9.08294 | − | 2.95123i | 1.02191 | − | 0.332039i | 0.250323 | − | 0.968162i | \(-0.419463\pi\) |
0.771587 | + | 0.636124i | \(0.219463\pi\) | |||||||
\(80\) | 1.20991 | + | 1.88046i | 0.135272 | + | 0.210242i | ||||
\(81\) | 4.94017 | − | 7.52294i | 0.548908 | − | 0.835883i | ||||
\(82\) | −0.404837 | + | 0.206275i | −0.0447068 | + | 0.0227792i | ||||
\(83\) | 6.23348 | + | 0.987287i | 0.684214 | + | 0.108369i | 0.488858 | − | 0.872364i | \(-0.337414\pi\) |
0.195356 | + | 0.980732i | \(0.437414\pi\) | |||||||
\(84\) | −1.81471 | − | 4.23875i | −0.198001 | − | 0.462485i | ||||
\(85\) | 2.27563 | + | 2.54895i | 0.246827 | + | 0.276472i | ||||
\(86\) | 8.30852 | + | 2.69960i | 0.895931 | + | 0.291106i | ||||
\(87\) | 2.27090 | + | 1.89359i | 0.243466 | + | 0.203014i | ||||
\(88\) | −1.96129 | + | 1.96129i | −0.209074 | + | 0.209074i | ||||
\(89\) | 2.60352 | − | 8.01281i | 0.275972 | − | 0.849356i | −0.712988 | − | 0.701176i | \(-0.752659\pi\) |
0.988960 | − | 0.148180i | \(-0.0473413\pi\) | |||||||
\(90\) | −0.221057 | + | 6.70456i | −0.0233014 | + | 0.706723i | ||||
\(91\) | 2.00084 | − | 1.45369i | 0.209745 | − | 0.152389i | ||||
\(92\) | −1.00700 | + | 1.00700i | −0.104987 | + | 0.104987i | ||||
\(93\) | −6.79494 | − | 6.84316i | −0.704602 | − | 0.709602i | ||||
\(94\) | − | 8.83476i | − | 0.911236i | ||||||
\(95\) | −1.57680 | − | 5.98585i | −0.161776 | − | 0.614136i | ||||
\(96\) | 1.48741 | + | 0.887482i | 0.151808 | + | 0.0905783i | ||||
\(97\) | −9.79448 | + | 4.99054i | −0.994479 | + | 0.506712i | −0.873960 | − | 0.485999i | \(-0.838456\pi\) |
−0.120520 | + | 0.992711i | \(0.538456\pi\) | |||||||
\(98\) | −0.0613228 | − | 0.0613228i | −0.00619454 | − | 0.00619454i | ||||
\(99\) | −8.18555 | + | 1.49553i | −0.822679 | + | 0.150306i | ||||
\(100\) | −2.46328 | − | 4.35112i | −0.246328 | − | 0.435112i | ||||
\(101\) | −8.71855 | + | 2.83283i | −0.867528 | + | 0.281877i | −0.708769 | − | 0.705441i | \(-0.750749\pi\) |
−0.158759 | + | 0.987317i | \(0.550749\pi\) | |||||||
\(102\) | 2.45709 | + | 0.983913i | 0.243288 | + | 0.0974219i | ||||
\(103\) | −1.19804 | + | 7.56415i | −0.118047 | + | 0.745318i | 0.855664 | + | 0.517531i | \(0.173149\pi\) |
−0.973711 | + | 0.227787i | \(0.926851\pi\) | |||||||
\(104\) | −0.287087 | + | 0.883564i | −0.0281512 | + | 0.0866405i | ||||
\(105\) | 3.51525 | + | 9.69247i | 0.343053 | + | 0.945888i | ||||
\(106\) | 1.33521 | + | 0.970087i | 0.129687 | + | 0.0942231i | ||||
\(107\) | −4.33025 | − | 2.20637i | −0.418621 | − | 0.213298i | 0.231976 | − | 0.972722i | \(-0.425481\pi\) |
−0.650596 | + | 0.759424i | \(0.725481\pi\) | |||||||
\(108\) | 2.15736 | + | 4.72713i | 0.207592 | + | 0.454869i | ||||
\(109\) | 4.64345 | − | 6.39115i | 0.444761 | − | 0.612162i | −0.526500 | − | 0.850175i | \(-0.676496\pi\) |
0.971262 | + | 0.238013i | \(0.0764962\pi\) | |||||||
\(110\) | 4.62660 | − | 4.13051i | 0.441129 | − | 0.393829i | ||||
\(111\) | 2.20925 | − | 3.70267i | 0.209693 | − | 0.351442i | ||||
\(112\) | 2.62932 | + | 0.416443i | 0.248447 | + | 0.0393501i | ||||
\(113\) | −4.42678 | + | 2.25556i | −0.416436 | + | 0.212185i | −0.649638 | − | 0.760243i | \(-0.725080\pi\) |
0.233202 | + | 0.972428i | \(0.425080\pi\) | |||||||
\(114\) | −3.15683 | − | 3.60894i | −0.295664 | − | 0.338008i | ||||
\(115\) | 2.37548 | − | 2.12077i | 0.221515 | − | 0.197763i | ||||
\(116\) | −1.62356 | + | 0.527525i | −0.150743 | + | 0.0489795i | ||||
\(117\) | −2.21547 | + | 1.69104i | −0.204821 | + | 0.156336i | ||||
\(118\) | 7.13638 | − | 7.13638i | 0.656957 | − | 0.656957i | ||||
\(119\) | 4.06797 | 0.372910 | ||||||||
\(120\) | −3.20838 | − | 2.16941i | −0.292883 | − | 0.198039i | ||||
\(121\) | −2.67516 | − | 1.94362i | −0.243196 | − | 0.176692i | ||||
\(122\) | −0.220385 | + | 1.39146i | −0.0199527 | + | 0.125976i | ||||
\(123\) | 0.503992 | − | 0.604416i | 0.0454435 | − | 0.0544984i | ||||
\(124\) | 5.43324 | − | 1.21651i | 0.487919 | − | 0.109246i | ||||
\(125\) | 4.94895 | + | 10.0254i | 0.442648 | + | 0.896695i | ||||
\(126\) | 5.77900 | + | 5.51214i | 0.514834 | + | 0.491060i | ||||
\(127\) | −1.46395 | − | 9.24300i | −0.129904 | − | 0.820184i | −0.963480 | − | 0.267779i | \(-0.913710\pi\) |
0.833576 | − | 0.552405i | \(-0.186290\pi\) | |||||||
\(128\) | −0.891007 | + | 0.453990i | −0.0787546 | + | 0.0401275i | ||||
\(129\) | −15.0696 | + | 1.36534i | −1.32681 | + | 0.120211i | ||||
\(130\) | 0.752664 | − | 1.93624i | 0.0660130 | − | 0.169819i | ||||
\(131\) | −6.50793 | − | 2.11455i | −0.568600 | − | 0.184749i | 0.0105869 | − | 0.999944i | \(-0.496630\pi\) |
−0.579187 | + | 0.815194i | \(0.696630\pi\) | |||||||
\(132\) | 1.78590 | − | 4.45988i | 0.155443 | − | 0.388183i | ||||
\(133\) | −6.56618 | − | 3.34564i | −0.569360 | − | 0.290103i | ||||
\(134\) | −9.77198 | + | 7.09976i | −0.844171 | + | 0.613326i | ||||
\(135\) | −4.21843 | − | 10.8261i | −0.363065 | − | 0.931764i | ||||
\(136\) | −1.23627 | + | 0.898202i | −0.106009 | + | 0.0770202i | ||||
\(137\) | −16.3585 | + | 2.59093i | −1.39760 | + | 0.221358i | −0.809353 | − | 0.587322i | \(-0.800182\pi\) |
−0.588248 | + | 0.808681i | \(0.700182\pi\) | |||||||
\(138\) | 0.916953 | − | 2.28988i | 0.0780562 | − | 0.194927i | ||||
\(139\) | 8.32973 | − | 11.4649i | 0.706518 | − | 0.972439i | −0.293347 | − | 0.956006i | \(-0.594769\pi\) |
0.999865 | − | 0.0164327i | \(-0.00523093\pi\) | |||||||
\(140\) | −5.81725 | − | 1.26224i | −0.491647 | − | 0.106678i | ||||
\(141\) | 6.02255 | + | 14.0673i | 0.507190 | + | 1.18468i | ||||
\(142\) | −0.238273 | − | 1.50439i | −0.0199954 | − | 0.126246i | ||||
\(143\) | 2.54512 | + | 0.403108i | 0.212834 | + | 0.0337095i | ||||
\(144\) | −2.97333 | − | 0.399160i | −0.247777 | − | 0.0332633i | ||||
\(145\) | 3.69129 | − | 0.972361i | 0.306545 | − | 0.0807502i | ||||
\(146\) | −2.18253 | + | 0.709145i | −0.180627 | + | 0.0586893i | ||||
\(147\) | 0.139445 | + | 0.0558390i | 0.0115012 | + | 0.00460553i | ||||
\(148\) | 1.13014 | + | 2.21803i | 0.0928970 | + | 0.182321i | ||||
\(149\) | −12.9942 | −1.06452 | −0.532262 | − | 0.846580i | \(-0.678658\pi\) | ||||
−0.532262 | + | 0.846580i | \(0.678658\pi\) | |||||||
\(150\) | 6.88829 | + | 5.24894i | 0.562427 | + | 0.428574i | ||||
\(151\) | 6.78820 | − | 20.8919i | 0.552416 | − | 1.70016i | −0.150257 | − | 0.988647i | \(-0.548010\pi\) |
0.702673 | − | 0.711513i | \(-0.251990\pi\) | |||||||
\(152\) | 2.73419 | − | 0.433054i | 0.221772 | − | 0.0351253i | ||||
\(153\) | −4.58306 | + | 0.108320i | −0.370518 | + | 0.00875717i | ||||
\(154\) | − | 7.38380i | − | 0.595003i | ||||||
\(155\) | −12.2835 | + | 2.02870i | −0.986634 | + | 0.162949i | ||||
\(156\) | −0.145196 | − | 1.60257i | −0.0116250 | − | 0.128308i | ||||
\(157\) | −10.0484 | − | 1.59151i | −0.801950 | − | 0.127016i | −0.258012 | − | 0.966142i | \(-0.583067\pi\) |
−0.543938 | + | 0.839125i | \(0.683067\pi\) | |||||||
\(158\) | −1.49401 | − | 9.43278i | −0.118857 | − | 0.750432i | ||||
\(159\) | −2.78730 | − | 0.634438i | −0.221047 | − | 0.0503142i | ||||
\(160\) | 2.04658 | − | 0.900842i | 0.161796 | − | 0.0712178i | ||||
\(161\) | − | 3.79113i | − | 0.298783i | ||||||
\(162\) | −6.65751 | − | 6.05620i | −0.523063 | − | 0.475820i | ||||
\(163\) | −22.6753 | − | 11.5536i | −1.77607 | − | 0.904951i | −0.925094 | − | 0.379739i | \(-0.876014\pi\) |
−0.850972 | − | 0.525212i | \(-0.823986\pi\) | |||||||
\(164\) | 0.140405 | + | 0.432121i | 0.0109638 | + | 0.0337430i | ||||
\(165\) | −4.55106 | + | 9.73076i | −0.354299 | + | 0.757539i | ||||
\(166\) | 1.95026 | − | 6.00229i | 0.151370 | − | 0.465868i | ||||
\(167\) | 2.38862 | − | 15.0812i | 0.184837 | − | 1.16702i | −0.704480 | − | 0.709724i | \(-0.748820\pi\) |
0.889317 | − | 0.457291i | \(-0.151180\pi\) | |||||||
\(168\) | −4.47045 | + | 1.12928i | −0.344902 | + | 0.0871262i | ||||
\(169\) | −11.5429 | + | 3.75051i | −0.887913 | + | 0.288501i | ||||
\(170\) | 2.87355 | − | 1.84887i | 0.220391 | − | 0.141802i | ||||
\(171\) | 7.48667 | + | 3.59442i | 0.572520 | + | 0.274872i | ||||
\(172\) | 3.96610 | − | 7.78392i | 0.302413 | − | 0.593518i | ||||
\(173\) | 0.379437 | + | 2.39567i | 0.0288480 | + | 0.182139i | 0.997905 | − | 0.0646984i | \(-0.0206085\pi\) |
−0.969057 | + | 0.246838i | \(0.920609\pi\) | |||||||
\(174\) | 2.22552 | − | 1.94672i | 0.168716 | − | 0.147580i | ||||
\(175\) | 12.8273 | + | 3.55364i | 0.969653 | + | 0.268630i | ||||
\(176\) | 1.63033 | + | 2.24396i | 0.122891 | + | 0.169145i | ||||
\(177\) | −6.49822 | + | 16.2278i | −0.488436 | + | 1.21975i | ||||
\(178\) | −7.50687 | − | 3.82494i | −0.562664 | − | 0.286692i | ||||
\(179\) | −0.534401 | + | 1.64472i | −0.0399430 | + | 0.122932i | −0.969040 | − | 0.246905i | \(-0.920586\pi\) |
0.929097 | + | 0.369837i | \(0.120586\pi\) | |||||||
\(180\) | 6.58744 | + | 1.26716i | 0.490998 | + | 0.0944485i | ||||
\(181\) | −11.2825 | −0.838622 | −0.419311 | − | 0.907843i | \(-0.637728\pi\) | ||||
−0.419311 | + | 0.907843i | \(0.637728\pi\) | |||||||
\(182\) | −1.12280 | − | 2.20361i | −0.0832272 | − | 0.163343i | ||||
\(183\) | −0.597627 | − | 2.36580i | −0.0441778 | − | 0.174885i | ||||
\(184\) | 0.837075 | + | 1.15214i | 0.0617100 | + | 0.0849365i | ||||
\(185\) | −2.24251 | − | 5.09465i | −0.164873 | − | 0.374566i | ||||
\(186\) | −7.82187 | + | 5.64078i | −0.573527 | + | 0.413602i | ||||
\(187\) | 2.99707 | + | 2.99707i | 0.219168 | + | 0.219168i | ||||
\(188\) | −8.72599 | − | 1.38206i | −0.636408 | − | 0.100797i | ||||
\(189\) | −12.9592 | − | 4.83730i | −0.942646 | − | 0.351862i | ||||
\(190\) | −6.15882 | + | 0.620992i | −0.446808 | + | 0.0450515i | ||||
\(191\) | − | 4.46054i | − | 0.322753i | −0.986893 | − | 0.161377i | \(-0.948407\pi\) | ||
0.986893 | − | 0.161377i | \(-0.0515934\pi\) | |||||||
\(192\) | 1.10924 | − | 1.33026i | 0.0800523 | − | 0.0960033i | ||||
\(193\) | 5.06111 | + | 9.93299i | 0.364307 | + | 0.714993i | 0.998296 | − | 0.0583492i | \(-0.0185837\pi\) |
−0.633989 | + | 0.773342i | \(0.718584\pi\) | |||||||
\(194\) | 3.39690 | + | 10.4546i | 0.243883 | + | 0.750596i | ||||
\(195\) | 0.121469 | + | 3.59608i | 0.00869860 | + | 0.257521i | ||||
\(196\) | −0.0701608 | + | 0.0509748i | −0.00501148 | + | 0.00364106i | ||||
\(197\) | 10.4983 | + | 20.6041i | 0.747975 | + | 1.46798i | 0.879110 | + | 0.476618i | \(0.158138\pi\) |
−0.131136 | + | 0.991364i | \(0.541862\pi\) | |||||||
\(198\) | 0.196612 | + | 8.31873i | 0.0139726 | + | 0.591186i | ||||
\(199\) | 10.4454 | − | 14.3768i | 0.740453 | − | 1.01915i | −0.258140 | − | 0.966108i | \(-0.583109\pi\) |
0.998592 | − | 0.0530382i | \(-0.0168905\pi\) | |||||||
\(200\) | −4.68289 | + | 1.75229i | −0.331131 | + | 0.123905i | ||||
\(201\) | 10.7198 | − | 17.9661i | 0.756113 | − | 1.26723i | ||||
\(202\) | 1.43407 | + | 9.05436i | 0.100901 | + | 0.637062i | ||||
\(203\) | 2.06315 | − | 4.04916i | 0.144805 | − | 0.284195i | ||||
\(204\) | 1.35617 | − | 2.27292i | 0.0949511 | − | 0.159136i | ||||
\(205\) | −0.258801 | − | 0.982463i | −0.0180755 | − | 0.0686182i | ||||
\(206\) | 7.28361 | + | 2.36659i | 0.507473 | + | 0.164888i | ||||
\(207\) | 0.100949 | + | 4.27116i | 0.00701641 | + | 0.296866i | ||||
\(208\) | 0.827775 | + | 0.421773i | 0.0573959 | + | 0.0292447i | ||||
\(209\) | −2.37273 | − | 7.30251i | −0.164125 | − | 0.505126i | ||||
\(210\) | 10.1230 | − | 1.95573i | 0.698556 | − | 0.134958i | ||||
\(211\) | 17.5098 | 1.20542 | 0.602712 | − | 0.797959i | \(-0.294087\pi\) | ||||
0.602712 | + | 0.797959i | \(0.294087\pi\) | |||||||
\(212\) | 1.16702 | − | 1.16702i | 0.0801510 | − | 0.0801510i | ||||
\(213\) | 1.40492 | + | 2.23296i | 0.0962635 | + | 0.153000i | ||||
\(214\) | −2.85661 | + | 3.93178i | −0.195274 | + | 0.268771i | ||||
\(215\) | −9.83872 | + | 16.8759i | −0.670995 | + | 1.15093i | ||||
\(216\) | 5.00642 | − | 1.39131i | 0.340644 | − | 0.0946667i | ||||
\(217\) | −7.93750 | + | 12.5174i | −0.538832 | + | 0.849735i | ||||
\(218\) | −5.58607 | − | 5.58607i | −0.378337 | − | 0.378337i | ||||
\(219\) | 2.99174 | − | 2.61695i | 0.202163 | − | 0.176837i | ||||
\(220\) | −3.35590 | − | 5.21580i | −0.226255 | − | 0.351649i | ||||
\(221\) | 1.35018 | + | 0.438702i | 0.0908232 | + | 0.0295103i | ||||
\(222\) | −3.31148 | − | 2.76128i | −0.222252 | − | 0.185325i | ||||
\(223\) | −11.4000 | + | 11.4000i | −0.763401 | + | 0.763401i | −0.976936 | − | 0.213534i | \(-0.931502\pi\) |
0.213534 | + | 0.976936i | \(0.431502\pi\) | |||||||
\(224\) | 0.822631 | − | 2.53180i | 0.0549644 | − | 0.169163i | ||||
\(225\) | −14.5461 | − | 3.66204i | −0.969741 | − | 0.244136i | ||||
\(226\) | 1.53529 | + | 4.72512i | 0.102126 | + | 0.314311i | ||||
\(227\) | −3.10031 | + | 19.5746i | −0.205775 | + | 1.29921i | 0.641115 | + | 0.767445i | \(0.278472\pi\) |
−0.846890 | + | 0.531768i | \(0.821528\pi\) | |||||||
\(228\) | −4.05835 | + | 2.55340i | −0.268771 | + | 0.169103i | ||||
\(229\) | 1.36793 | + | 1.88280i | 0.0903956 | + | 0.124419i | 0.851819 | − | 0.523836i | \(-0.175499\pi\) |
−0.761424 | + | 0.648254i | \(0.775499\pi\) | |||||||
\(230\) | −1.72305 | − | 2.67799i | −0.113615 | − | 0.176582i | ||||
\(231\) | 5.03344 | + | 11.7569i | 0.331176 | + | 0.773550i | ||||
\(232\) | 0.267050 | + | 1.68609i | 0.0175327 | + | 0.110697i | ||||
\(233\) | −1.54513 | − | 9.75557i | −0.101225 | − | 0.639109i | −0.985178 | − | 0.171534i | \(-0.945128\pi\) |
0.883953 | − | 0.467575i | \(-0.154872\pi\) | |||||||
\(234\) | 1.32364 | + | 2.45273i | 0.0865291 | + | 0.160340i | ||||
\(235\) | 19.3059 | + | 4.18902i | 1.25938 | + | 0.273262i | ||||
\(236\) | −5.93215 | − | 8.16490i | −0.386150 | − | 0.531490i | ||||
\(237\) | 8.80906 | + | 14.0010i | 0.572210 | + | 0.909465i | ||||
\(238\) | 0.636371 | − | 4.01789i | 0.0412498 | − | 0.260441i | ||||
\(239\) | −2.05059 | − | 6.31108i | −0.132642 | − | 0.408230i | 0.862574 | − | 0.505931i | \(-0.168851\pi\) |
−0.995216 | + | 0.0977015i | \(0.968851\pi\) | |||||||
\(240\) | −2.64460 | + | 2.82950i | −0.170708 | + | 0.182644i | ||||
\(241\) | −0.603516 | + | 1.85743i | −0.0388759 | + | 0.119648i | −0.968611 | − | 0.248581i | \(-0.920036\pi\) |
0.929735 | + | 0.368229i | \(0.120036\pi\) | |||||||
\(242\) | −2.33817 | + | 2.33817i | −0.150304 | + | 0.150304i | ||||
\(243\) | 14.7289 | + | 5.10472i | 0.944862 | + | 0.327468i | ||||
\(244\) | 1.33985 | + | 0.435343i | 0.0857750 | + | 0.0278700i | ||||
\(245\) | 0.163080 | − | 0.104927i | 0.0104188 | − | 0.00670356i | ||||
\(246\) | −0.518133 | − | 0.592339i | −0.0330350 | − | 0.0377661i | ||||
\(247\) | −1.81855 | − | 1.81855i | −0.115712 | − | 0.115712i | ||||
\(248\) | −0.351588 | − | 5.55665i | −0.0223258 | − | 0.352848i | ||||
\(249\) | 0.986355 | + | 10.8867i | 0.0625077 | + | 0.689917i | ||||
\(250\) | 10.6761 | − | 3.31971i | 0.675217 | − | 0.209957i | ||||
\(251\) | −2.45208 | + | 3.37501i | −0.154774 | + | 0.213028i | −0.879362 | − | 0.476154i | \(-0.842030\pi\) |
0.724587 | + | 0.689183i | \(0.242030\pi\) | |||||||
\(252\) | 6.34831 | − | 4.84556i | 0.399906 | − | 0.305242i | ||||
\(253\) | 2.79311 | − | 2.79311i | 0.175601 | − | 0.175601i | ||||
\(254\) | −9.35822 | −0.587187 | ||||||||
\(255\) | −3.31510 | + | 4.90276i | −0.207600 | + | 0.307023i | ||||
\(256\) | 0.309017 | + | 0.951057i | 0.0193136 | + | 0.0594410i | ||||
\(257\) | −17.7186 | − | 9.02806i | −1.10525 | − | 0.563155i | −0.196507 | − | 0.980502i | \(-0.562960\pi\) |
−0.908747 | + | 0.417348i | \(0.862960\pi\) | |||||||
\(258\) | −1.00888 | + | 15.0977i | −0.0628104 | + | 0.939941i | ||||
\(259\) | −6.30253 | − | 2.04782i | −0.391620 | − | 0.127245i | ||||
\(260\) | −1.79466 | − | 1.04629i | −0.111300 | − | 0.0648883i | ||||
\(261\) | −2.21656 | + | 4.61679i | −0.137202 | + | 0.285772i | ||||
\(262\) | −3.10658 | + | 6.09702i | −0.191925 | + | 0.376675i | ||||
\(263\) | 3.88831 | + | 24.5498i | 0.239763 | + | 1.51381i | 0.754410 | + | 0.656403i | \(0.227923\pi\) |
−0.514647 | + | 0.857402i | \(0.672077\pi\) | |||||||
\(264\) | −4.12559 | − | 2.46160i | −0.253913 | − | 0.151501i | ||||
\(265\) | −2.75294 | + | 2.45776i | −0.169112 | + | 0.150979i | ||||
\(266\) | −4.33162 | + | 5.96197i | −0.265589 | + | 0.365552i | ||||
\(267\) | 14.5603 | + | 0.972976i | 0.891078 | + | 0.0595452i | ||||
\(268\) | 5.48368 | + | 10.7623i | 0.334969 | + | 0.657413i | ||||
\(269\) | 20.6230 | − | 14.9835i | 1.25741 | − | 0.913560i | 0.258780 | − | 0.965936i | \(-0.416680\pi\) |
0.998627 | + | 0.0523765i | \(0.0166796\pi\) | |||||||
\(270\) | −11.3527 | + | 2.47292i | −0.690906 | + | 0.150497i | ||||
\(271\) | −7.74942 | − | 23.8502i | −0.470743 | − | 1.44880i | −0.851613 | − | 0.524171i | \(-0.824375\pi\) |
0.380870 | − | 0.924629i | \(-0.375625\pi\) | |||||||
\(272\) | 0.693749 | + | 1.36156i | 0.0420647 | + | 0.0825566i | ||||
\(273\) | 3.28996 | + | 2.74333i | 0.199118 | + | 0.166034i | ||||
\(274\) | 16.5624i | 1.00057i | ||||||||
\(275\) | 6.83236 | + | 12.0686i | 0.412007 | + | 0.727766i | ||||
\(276\) | −2.11824 | − | 1.26388i | −0.127503 | − | 0.0760766i | ||||
\(277\) | 4.41612 | + | 0.699444i | 0.265339 | + | 0.0420255i | 0.287686 | − | 0.957725i | \(-0.407114\pi\) |
−0.0223474 | + | 0.999750i | \(0.507114\pi\) | |||||||
\(278\) | −10.0207 | − | 10.0207i | −0.601000 | − | 0.601000i | ||||
\(279\) | 8.60923 | − | 14.3137i | 0.515421 | − | 0.856937i | ||||
\(280\) | −2.15671 | + | 5.54817i | −0.128888 | + | 0.331567i | ||||
\(281\) | −12.2443 | − | 16.8529i | −0.730437 | − | 1.00536i | −0.999112 | − | 0.0421289i | \(-0.986586\pi\) |
0.268676 | − | 0.963231i | \(-0.413414\pi\) | |||||||
\(282\) | 14.8362 | − | 3.74779i | 0.883483 | − | 0.223178i | ||||
\(283\) | 8.19495 | + | 16.0835i | 0.487139 | + | 0.956065i | 0.995486 | + | 0.0949121i | \(0.0302570\pi\) |
−0.508346 | + | 0.861153i | \(0.669743\pi\) | |||||||
\(284\) | −1.52315 | −0.0903821 | ||||||||
\(285\) | 9.38315 | − | 5.18717i | 0.555810 | − | 0.307262i | ||||
\(286\) | 0.796289 | − | 2.45073i | 0.0470856 | − | 0.144914i | ||||
\(287\) | −1.07771 | − | 0.549122i | −0.0636154 | − | 0.0324137i | ||||
\(288\) | −0.859377 | + | 2.87428i | −0.0506392 | + | 0.169368i | ||||
\(289\) | −8.61980 | − | 11.8641i | −0.507047 | − | 0.697890i | ||||
\(290\) | −0.382946 | − | 3.79795i | −0.0224874 | − | 0.223023i | ||||
\(291\) | −12.5355 | − | 14.3308i | −0.734845 | − | 0.840088i | ||||
\(292\) | 0.358992 | + | 2.26659i | 0.0210084 | + | 0.132642i | ||||
\(293\) | 4.40529 | − | 8.64587i | 0.257360 | − | 0.505097i | −0.725786 | − | 0.687921i | \(-0.758524\pi\) |
0.983146 | + | 0.182823i | \(0.0585237\pi\) | |||||||
\(294\) | 0.0769656 | − | 0.128993i | 0.00448872 | − | 0.00752303i | ||||
\(295\) | 12.2108 | + | 18.9783i | 0.710942 | + | 1.10496i | ||||
\(296\) | 2.36751 | − | 0.769251i | 0.137609 | − | 0.0447118i | ||||
\(297\) | −5.98383 | − | 13.1116i | −0.347217 | − | 0.760811i | ||||
\(298\) | −2.03274 | + | 12.8342i | −0.117753 | + | 0.743464i | ||||
\(299\) | 0.408846 | − | 1.25830i | 0.0236442 | − | 0.0727693i | ||||
\(300\) | 6.26189 | − | 5.98237i | 0.361530 | − | 0.345392i | ||||
\(301\) | 7.18658 | + | 22.1180i | 0.414228 | + | 1.27486i | ||||
\(302\) | −19.5728 | − | 9.97284i | −1.12629 | − | 0.573872i | ||||
\(303\) | −8.45566 | − | 13.4393i | −0.485765 | − | 0.772070i | ||||
\(304\) | − | 2.76827i | − | 0.158771i | ||||||
\(305\) | −2.93614 | − | 1.14135i | −0.168123 | − | 0.0653535i | ||||
\(306\) | −0.609962 | + | 4.54358i | −0.0348692 | + | 0.259739i | ||||
\(307\) | −4.23103 | − | 26.7137i | −0.241477 | − | 1.52463i | −0.748755 | − | 0.662846i | \(-0.769348\pi\) |
0.507278 | − | 0.861782i | \(-0.330652\pi\) | |||||||
\(308\) | −7.29289 | − | 1.15508i | −0.415551 | − | 0.0658168i | ||||
\(309\) | −13.2107 | + | 1.19691i | −0.751530 | + | 0.0680899i | ||||
\(310\) | 0.0821609 | + | 12.4496i | 0.00466643 | + | 0.707091i | ||||
\(311\) | − | 5.99066i | − | 0.339699i | −0.985470 | − | 0.169850i | \(-0.945672\pi\) | ||
0.985470 | − | 0.169850i | \(-0.0543282\pi\) | |||||||
\(312\) | −1.60555 | − | 0.107289i | −0.0908965 | − | 0.00607405i | ||||
\(313\) | −22.6965 | + | 3.59477i | −1.28288 | + | 0.203189i | −0.760397 | − | 0.649459i | \(-0.774995\pi\) |
−0.522486 | + | 0.852648i | \(0.674995\pi\) | |||||||
\(314\) | −3.14383 | + | 9.67572i | −0.177417 | + | 0.546033i | ||||
\(315\) | −14.7853 | + | 10.0148i | −0.833060 | + | 0.564270i | ||||
\(316\) | −9.55036 | −0.537250 | ||||||||
\(317\) | −1.34004 | − | 2.62997i | −0.0752639 | − | 0.147714i | 0.850308 | − | 0.526285i | \(-0.176415\pi\) |
−0.925572 | + | 0.378571i | \(0.876415\pi\) | |||||||
\(318\) | −1.06266 | + | 2.65374i | −0.0595908 | + | 0.148814i | ||||
\(319\) | 4.50323 | − | 1.46319i | 0.252132 | − | 0.0819228i | ||||
\(320\) | −0.569596 | − | 2.16230i | −0.0318414 | − | 0.120876i | ||||
\(321\) | 1.86822 | − | 8.20775i | 0.104274 | − | 0.458112i | ||||
\(322\) | −3.74445 | − | 0.593063i | −0.208670 | − | 0.0330501i | ||||
\(323\) | −0.661755 | − | 4.17815i | −0.0368210 | − | 0.232479i | ||||
\(324\) | −7.02310 | + | 5.62815i | −0.390172 | + | 0.312675i | ||||
\(325\) | 3.87422 | + | 2.56281i | 0.214903 | + | 0.142159i | ||||
\(326\) | −14.9586 | + | 20.5887i | −0.828479 | + | 1.14030i | ||||
\(327\) | 12.7025 | + | 5.08655i | 0.702447 | + | 0.281287i | ||||
\(328\) | 0.448765 | − | 0.0710775i | 0.0247789 | − | 0.00392460i | ||||
\(329\) | 19.0272 | − | 13.8241i | 1.04900 | − | 0.762146i | ||||
\(330\) | 8.89902 | + | 6.01725i | 0.489875 | + | 0.331239i | ||||
\(331\) | 18.5915 | − | 13.5075i | 1.02188 | − | 0.742441i | 0.0552144 | − | 0.998475i | \(-0.482416\pi\) |
0.966668 | + | 0.256034i | \(0.0824158\pi\) | |||||||
\(332\) | −5.62331 | − | 2.86522i | −0.308619 | − | 0.157249i | ||||
\(333\) | 7.15508 | + | 2.13929i | 0.392096 | + | 0.117232i | ||||
\(334\) | −14.5218 | − | 4.71843i | −0.794599 | − | 0.258181i | ||||
\(335\) | −10.8811 | − | 24.7203i | −0.594499 | − | 1.35061i | ||||
\(336\) | 0.416049 | + | 4.59207i | 0.0226974 | + | 0.250518i | ||||
\(337\) | −5.59836 | + | 2.85251i | −0.304962 | + | 0.155386i | −0.599774 | − | 0.800169i | \(-0.704743\pi\) |
0.294812 | + | 0.955555i | \(0.404743\pi\) | |||||||
\(338\) | 1.89863 | + | 11.9875i | 0.103272 | + | 0.652032i | ||||
\(339\) | −5.66564 | − | 6.47706i | −0.307715 | − | 0.351785i | ||||
\(340\) | −1.37659 | − | 3.12740i | −0.0746560 | − | 0.169607i | ||||
\(341\) | −15.0701 | + | 3.37422i | −0.816091 | + | 0.182724i | ||||
\(342\) | 4.72134 | − | 6.83221i | 0.255301 | − | 0.369444i | ||||
\(343\) | −2.87898 | + | 18.1772i | −0.155450 | + | 0.981476i | ||||
\(344\) | −7.06765 | − | 5.13495i | −0.381062 | − | 0.276858i | ||||
\(345\) | 4.56910 | + | 3.08949i | 0.245992 | + | 0.166333i | ||||
\(346\) | 2.42553 | 0.130397 | ||||||||
\(347\) | −17.6941 | + | 17.6941i | −0.949872 | + | 0.949872i | −0.998802 | − | 0.0489307i | \(-0.984419\pi\) |
0.0489307 | + | 0.998802i | \(0.484419\pi\) | |||||||
\(348\) | −1.57460 | − | 2.50265i | −0.0844075 | − | 0.134156i | ||||
\(349\) | −18.3385 | + | 5.95854i | −0.981638 | + | 0.318954i | −0.755505 | − | 0.655143i | \(-0.772608\pi\) |
−0.226133 | + | 0.974096i | \(0.572608\pi\) | |||||||
\(350\) | 5.51652 | − | 12.1135i | 0.294870 | − | 0.647492i | ||||
\(351\) | −3.77958 | − | 3.00309i | −0.201739 | − | 0.160293i | ||||
\(352\) | 2.47137 | − | 1.25923i | 0.131724 | − | 0.0671170i | ||||
\(353\) | 5.60708 | + | 0.888075i | 0.298435 | + | 0.0472675i | 0.303856 | − | 0.952718i | \(-0.401726\pi\) |
−0.00542143 | + | 0.999985i | \(0.501726\pi\) | |||||||
\(354\) | 15.0114 | + | 8.95680i | 0.797849 | + | 0.476049i | ||||
\(355\) | 3.40041 | + | 0.192634i | 0.180475 | + | 0.0102239i | ||||
\(356\) | −4.95219 | + | 6.81610i | −0.262465 | + | 0.361253i | ||||
\(357\) | 1.72567 | + | 6.83134i | 0.0913323 | + | 0.361553i | ||||
\(358\) | 1.54087 | + | 0.785113i | 0.0814375 | + | 0.0414945i | ||||
\(359\) | 25.5492 | + | 18.5626i | 1.34843 | + | 0.979695i | 0.999088 | + | 0.0427009i | \(0.0135963\pi\) |
0.349346 | + | 0.936994i | \(0.386404\pi\) | |||||||
\(360\) | 2.28206 | − | 6.30811i | 0.120275 | − | 0.332466i | ||||
\(361\) | 3.50322 | − | 10.7818i | 0.184380 | − | 0.567463i | ||||
\(362\) | −1.76497 | + | 11.1436i | −0.0927649 | + | 0.585695i | ||||
\(363\) | 2.12909 | − | 5.31689i | 0.111748 | − | 0.279065i | ||||
\(364\) | −2.35213 | + | 0.764252i | −0.123285 | + | 0.0400577i | ||||
\(365\) | −0.514789 | − | 5.10554i | −0.0269453 | − | 0.267236i | ||||
\(366\) | −2.43016 | + | 0.220177i | −0.127026 | + | 0.0115088i | ||||
\(367\) | −17.9825 | − | 17.9825i | −0.938681 | − | 0.938681i | 0.0595447 | − | 0.998226i | \(-0.481035\pi\) |
−0.998226 | + | 0.0595447i | \(0.981035\pi\) | |||||||
\(368\) | 1.26890 | − | 0.646536i | 0.0661459 | − | 0.0337030i | ||||
\(369\) | 1.22879 | + | 0.589955i | 0.0639685 | + | 0.0307118i | ||||
\(370\) | −5.38273 | + | 1.41792i | −0.279835 | + | 0.0737143i | ||||
\(371\) | 4.39354i | 0.228101i | ||||||||
\(372\) | 4.34772 | + | 8.60798i | 0.225419 | + | 0.446303i | ||||
\(373\) | −16.6577 | + | 16.6577i | −0.862502 | + | 0.862502i | −0.991628 | − | 0.129127i | \(-0.958783\pi\) |
0.129127 | + | 0.991628i | \(0.458783\pi\) | |||||||
\(374\) | 3.42902 | − | 2.49133i | 0.177310 | − | 0.128824i | ||||
\(375\) | −14.7362 | + | 12.5636i | −0.760973 | + | 0.648783i | ||||
\(376\) | −2.73009 | + | 8.40236i | −0.140794 | + | 0.433319i | ||||
\(377\) | 1.12144 | − | 1.12144i | 0.0577573 | − | 0.0577573i | ||||
\(378\) | −6.80502 | + | 12.0430i | −0.350012 | + | 0.619424i | ||||
\(379\) | 0.522705 | + | 0.169837i | 0.0268496 | + | 0.00872395i | 0.322411 | − | 0.946600i | \(-0.395507\pi\) |
−0.295561 | + | 0.955324i | \(0.595507\pi\) | |||||||
\(380\) | −0.350106 | + | 6.18014i | −0.0179601 | + | 0.317035i | ||||
\(381\) | 14.9007 | − | 6.37938i | 0.763388 | − | 0.326825i | ||||
\(382\) | −4.40562 | − | 0.697782i | −0.225411 | − | 0.0357016i | ||||
\(383\) | 20.0815 | − | 10.2320i | 1.02611 | − | 0.522831i | 0.141884 | − | 0.989883i | \(-0.454684\pi\) |
0.884230 | + | 0.467052i | \(0.154684\pi\) | |||||||
\(384\) | −1.14036 | − | 1.30368i | −0.0581937 | − | 0.0665281i | ||||
\(385\) | 16.1352 | + | 3.50104i | 0.822326 | + | 0.178430i | ||||
\(386\) | 10.6024 | − | 3.44494i | 0.539650 | − | 0.175343i | ||||
\(387\) | −8.68549 | − | 24.7272i | −0.441508 | − | 1.25696i | ||||
\(388\) | 10.8573 | − | 1.71962i | 0.551194 | − | 0.0873006i | ||||
\(389\) | 3.70906 | + | 11.4153i | 0.188057 | + | 0.578779i | 0.999988 | − | 0.00497425i | \(-0.00158336\pi\) |
−0.811931 | + | 0.583754i | \(0.801583\pi\) | |||||||
\(390\) | 3.57081 | + | 0.442577i | 0.180815 | + | 0.0224108i | ||||
\(391\) | 1.76059 | − | 1.27915i | 0.0890370 | − | 0.0646892i | ||||
\(392\) | 0.0393716 | + | 0.0772712i | 0.00198857 | + | 0.00390279i | ||||
\(393\) | 0.790243 | − | 11.8258i | 0.0398625 | − | 0.596531i | ||||
\(394\) | 21.9927 | − | 7.14588i | 1.10798 | − | 0.360004i | ||||
\(395\) | 21.3211 | + | 1.20784i | 1.07278 | + | 0.0607732i | ||||
\(396\) | 8.24707 | + | 1.10714i | 0.414431 | + | 0.0556361i | ||||
\(397\) | 14.8881 | + | 14.8881i | 0.747212 | + | 0.747212i | 0.973955 | − | 0.226742i | \(-0.0728075\pi\) |
−0.226742 | + | 0.973955i | \(0.572808\pi\) | |||||||
\(398\) | −12.5658 | − | 12.5658i | −0.629867 | − | 0.629867i | ||||
\(399\) | 2.83289 | − | 12.4458i | 0.141822 | − | 0.623071i | ||||
\(400\) | 0.998148 | + | 4.89936i | 0.0499074 | + | 0.244968i | ||||
\(401\) | −7.86252 | − | 10.8218i | −0.392636 | − | 0.540417i | 0.566241 | − | 0.824240i | \(-0.308397\pi\) |
−0.958877 | + | 0.283823i | \(0.908397\pi\) | |||||||
\(402\) | −16.0680 | − | 13.3983i | −0.801399 | − | 0.668246i | ||||
\(403\) | −3.98441 | + | 3.29859i | −0.198478 | + | 0.164314i | ||||
\(404\) | 9.16722 | 0.456086 | ||||||||
\(405\) | 16.3908 | − | 11.6766i | 0.814465 | − | 0.580213i | ||||
\(406\) | −3.67656 | − | 2.67117i | −0.182464 | − | 0.132568i | ||||
\(407\) | −3.13465 | − | 6.15210i | −0.155379 | − | 0.304949i | ||||
\(408\) | −2.03279 | − | 1.69504i | −0.100638 | − | 0.0839170i | ||||
\(409\) | − | 16.9980i | − | 0.840499i | −0.907409 | − | 0.420250i | \(-0.861943\pi\) | ||
0.907409 | − | 0.420250i | \(-0.138057\pi\) | |||||||
\(410\) | −1.01085 | + | 0.101924i | −0.0499225 | + | 0.00503366i | ||||
\(411\) | −11.2904 | − | 26.3717i | −0.556914 | − | 1.30082i | ||||
\(412\) | 3.47686 | − | 6.82372i | 0.171292 | − | 0.336180i | ||||
\(413\) | 26.5360 | + | 4.20289i | 1.30575 | + | 0.206811i | ||||
\(414\) | 4.23437 | + | 0.568451i | 0.208108 | + | 0.0279378i | ||||
\(415\) | 12.1916 | + | 7.10775i | 0.598462 | + | 0.348906i | ||||
\(416\) | 0.546072 | − | 0.751604i | 0.0267734 | − | 0.0368504i | ||||
\(417\) | 22.7865 | + | 9.12459i | 1.11586 | + | 0.446833i | ||||
\(418\) | −7.58379 | + | 1.20115i | −0.370935 | + | 0.0587503i | ||||
\(419\) | 27.8897 | + | 20.2631i | 1.36250 | + | 0.989916i | 0.998281 | + | 0.0586039i | \(0.0186649\pi\) |
0.364222 | + | 0.931312i | \(0.381335\pi\) | |||||||
\(420\) | −0.348063 | − | 10.3044i | −0.0169837 | − | 0.502801i | ||||
\(421\) | 1.40647 | + | 1.02186i | 0.0685471 | + | 0.0498024i | 0.621531 | − | 0.783390i | \(-0.286511\pi\) |
−0.552984 | + | 0.833192i | \(0.686511\pi\) | |||||||
\(422\) | 2.73913 | − | 17.2942i | 0.133339 | − | 0.841869i | ||||
\(423\) | −21.0683 | + | 16.0811i | −1.02438 | + | 0.781891i | ||||
\(424\) | −0.970087 | − | 1.33521i | −0.0471116 | − | 0.0648435i | ||||
\(425\) | 2.67769 | + | 7.15599i | 0.129887 | + | 0.347116i | ||||
\(426\) | 2.42525 | − | 1.03831i | 0.117504 | − | 0.0503063i | ||||
\(427\) | −3.34159 | + | 1.70262i | −0.161711 | + | 0.0823958i | ||||
\(428\) | 3.43650 | + | 3.43650i | 0.166110 | + | 0.166110i | ||||
\(429\) | 0.402727 | + | 4.44502i | 0.0194438 | + | 0.214608i | ||||
\(430\) | 15.1290 | + | 12.3576i | 0.729586 | + | 0.595935i | ||||
\(431\) | −18.0649 | + | 24.8643i | −0.870158 | + | 1.19767i | 0.108893 | + | 0.994053i | \(0.465269\pi\) |
−0.979051 | + | 0.203616i | \(0.934731\pi\) | |||||||
\(432\) | −0.591005 | − | 5.16243i | −0.0284347 | − | 0.248378i | ||||
\(433\) | 28.4839 | − | 28.4839i | 1.36885 | − | 1.36885i | 0.506769 | − | 0.862082i | \(-0.330840\pi\) |
0.862082 | − | 0.506769i | \(-0.169160\pi\) | |||||||
\(434\) | 11.1216 | + | 9.79792i | 0.533852 | + | 0.470315i | ||||
\(435\) | 3.19877 | + | 5.78629i | 0.153369 | + | 0.277431i | ||||
\(436\) | −6.39115 | + | 4.64345i | −0.306081 | + | 0.222381i | ||||
\(437\) | −3.89381 | + | 0.616719i | −0.186266 | + | 0.0295017i | ||||
\(438\) | −2.11672 | − | 3.36429i | −0.101141 | − | 0.160752i | ||||
\(439\) | 9.78098i | 0.466821i | 0.972378 | + | 0.233410i | \(0.0749885\pi\) | ||||
−0.972378 | + | 0.233410i | \(0.925011\pi\) | |||||||
\(440\) | −5.67656 | + | 2.49865i | −0.270619 | + | 0.119119i | ||||
\(441\) | −0.0346166 | + | 0.257857i | −0.00164841 | + | 0.0122789i | ||||
\(442\) | 0.644516 | − | 1.26493i | 0.0306565 | − | 0.0601668i | ||||
\(443\) | 14.0102 | − | 27.4966i | 0.665646 | − | 1.30640i | −0.273163 | − | 0.961968i | \(-0.588070\pi\) |
0.938810 | − | 0.344436i | \(-0.111930\pi\) | |||||||
\(444\) | −3.24531 | + | 2.83875i | −0.154016 | + | 0.134721i | ||||
\(445\) | 11.9177 | − | 14.5906i | 0.564955 | − | 0.691659i | ||||
\(446\) | 9.47630 | + | 13.0430i | 0.448716 | + | 0.617605i | ||||
\(447\) | −5.51225 | − | 21.8211i | −0.260721 | − | 1.03210i | ||||
\(448\) | −2.37194 | − | 1.20856i | −0.112064 | − | 0.0570993i | ||||
\(449\) | 28.3119 | + | 20.5698i | 1.33612 | + | 0.970749i | 0.999577 | + | 0.0290812i | \(0.00925813\pi\) |
0.336544 | + | 0.941668i | \(0.390742\pi\) | |||||||
\(450\) | −5.89247 | + | 13.7942i | −0.277773 | + | 0.650263i | ||||
\(451\) | −0.389438 | − | 1.19857i | −0.0183379 | − | 0.0564384i | ||||
\(452\) | 4.90712 | − | 0.777212i | 0.230812 | − | 0.0365570i | ||||
\(453\) | 37.9634 | + | 2.53686i | 1.78368 | + | 0.119192i | ||||
\(454\) | 18.8486 | + | 6.12429i | 0.884609 | + | 0.287427i | ||||
\(455\) | 5.34775 | − | 1.40871i | 0.250706 | − | 0.0660413i | ||||
\(456\) | 1.88710 | + | 4.40782i | 0.0883714 | + | 0.206415i | ||||
\(457\) | −17.4768 | + | 34.3001i | −0.817530 | + | 1.60449i | −0.0210887 | + | 0.999778i | \(0.506713\pi\) |
−0.796441 | + | 0.604716i | \(0.793287\pi\) | |||||||
\(458\) | 2.07361 | − | 1.05656i | 0.0968934 | − | 0.0493697i | ||||
\(459\) | −2.12608 | − | 7.65038i | −0.0992369 | − | 0.357089i | ||||
\(460\) | −2.91457 | + | 1.28291i | −0.135892 | + | 0.0598158i | ||||
\(461\) | −2.87222 | − | 0.933242i | −0.133773 | − | 0.0434654i | 0.241365 | − | 0.970434i | \(-0.422405\pi\) |
−0.375138 | + | 0.926969i | \(0.622405\pi\) | |||||||
\(462\) | 12.3996 | − | 3.13228i | 0.576882 | − | 0.145727i | ||||
\(463\) | −1.86171 | + | 11.7544i | −0.0865209 | + | 0.546271i | 0.905910 | + | 0.423469i | \(0.139188\pi\) |
−0.992431 | + | 0.122802i | \(0.960812\pi\) | |||||||
\(464\) | 1.70711 | 0.0792505 | ||||||||
\(465\) | −8.61758 | − | 19.7671i | −0.399630 | − | 0.916676i | ||||
\(466\) | −9.87718 | −0.457551 | ||||||||
\(467\) | 5.40369 | − | 34.1175i | 0.250053 | − | 1.57877i | −0.468605 | − | 0.883408i | \(-0.655243\pi\) |
0.718658 | − | 0.695364i | \(-0.244757\pi\) | |||||||
\(468\) | 2.62960 | − | 0.923653i | 0.121553 | − | 0.0426959i | ||||
\(469\) | −30.5812 | − | 9.93643i | −1.41211 | − | 0.458822i | ||||
\(470\) | 7.15755 | − | 18.4129i | 0.330153 | − | 0.849323i | ||||
\(471\) | −1.59001 | − | 17.5494i | −0.0732637 | − | 0.808634i | ||||
\(472\) | −8.99237 | + | 4.58184i | −0.413907 | + | 0.210896i | ||||
\(473\) | −11.0007 | + | 21.5901i | −0.505814 | + | 0.992715i | ||||
\(474\) | 15.2067 | − | 6.51036i | 0.698467 | − | 0.299031i | ||||
\(475\) | 1.56322 | − | 13.7528i | 0.0717252 | − | 0.631023i | ||||
\(476\) | −3.86887 | − | 1.25707i | −0.177329 | − | 0.0576178i | ||||
\(477\) | −0.116989 | − | 4.94985i | −0.00535657 | − | 0.226638i | ||||
\(478\) | −6.55416 | + | 1.03808i | −0.299780 | + | 0.0474805i | ||||
\(479\) | −0.318077 | − | 0.978939i | −0.0145333 | − | 0.0447289i | 0.943527 | − | 0.331296i | \(-0.107486\pi\) |
−0.958060 | + | 0.286567i | \(0.907486\pi\) | |||||||
\(480\) | 2.38096 | + | 3.05467i | 0.108676 | + | 0.139426i | ||||
\(481\) | −1.87101 | − | 1.35937i | −0.0853105 | − | 0.0619817i | ||||
\(482\) | 1.74015 | + | 0.886652i | 0.0792618 | + | 0.0403859i | ||||
\(483\) | 6.36644 | − | 1.60823i | 0.289683 | − | 0.0731772i | ||||
\(484\) | 1.94362 | + | 2.67516i | 0.0883462 | + | 0.121598i | ||||
\(485\) | −24.4562 | + | 2.46591i | −1.11050 | + | 0.111971i | ||||
\(486\) | 7.34599 | − | 13.7491i | 0.333221 | − | 0.623670i | ||||
\(487\) | −6.18226 | + | 12.1334i | −0.280145 | + | 0.549816i | −0.987609 | − | 0.156934i | \(-0.949839\pi\) |
0.707464 | + | 0.706749i | \(0.249839\pi\) | |||||||
\(488\) | 0.639582 | − | 1.25525i | 0.0289525 | − | 0.0568225i | ||||
\(489\) | 9.78293 | − | 42.9798i | 0.442400 | − | 1.94361i | ||||
\(490\) | −0.0781242 | − | 0.177486i | −0.00352929 | − | 0.00801802i | ||||
\(491\) | 21.1558i | 0.954750i | 0.878700 | + | 0.477375i | \(0.158412\pi\) | ||||
−0.878700 | + | 0.477375i | \(0.841588\pi\) | |||||||
\(492\) | −0.666100 | + | 0.419092i | −0.0300301 | + | 0.0188941i | ||||
\(493\) | 2.57654 | − | 0.408083i | 0.116041 | − | 0.0183791i | ||||
\(494\) | −2.08065 | + | 1.51168i | −0.0936127 | + | 0.0680136i | ||||
\(495\) | −18.2715 | − | 3.51470i | −0.821241 | − | 0.157974i | ||||
\(496\) | −5.54324 | − | 0.521993i | −0.248899 | − | 0.0234382i | ||||
\(497\) | 2.86714 | − | 2.86714i | 0.128609 | − | 0.128609i | ||||
\(498\) | 10.9070 | + | 0.728845i | 0.488753 | + | 0.0326603i | ||||
\(499\) | 15.1177 | − | 20.8077i | 0.676761 | − | 0.931482i | −0.323128 | − | 0.946355i | \(-0.604735\pi\) |
0.999889 | + | 0.0148735i | \(0.00473457\pi\) | |||||||
\(500\) | −1.60873 | − | 11.0640i | −0.0719445 | − | 0.494797i | ||||
\(501\) | 26.3391 | − | 2.38637i | 1.17674 | − | 0.106615i | ||||
\(502\) | 2.94986 | + | 2.94986i | 0.131659 | + | 0.131659i | ||||
\(503\) | 29.0821 | − | 14.8181i | 1.29671 | − | 0.660706i | 0.336947 | − | 0.941524i | \(-0.390606\pi\) |
0.959761 | + | 0.280818i | \(0.0906058\pi\) | |||||||
\(504\) | −3.79281 | − | 7.02816i | −0.168945 | − | 0.313059i | ||||
\(505\) | −20.4657 | − | 1.15939i | −0.910712 | − | 0.0515920i | ||||
\(506\) | −2.32178 | − | 3.19566i | −0.103216 | − | 0.142064i | ||||
\(507\) | −11.1948 | − | 17.7929i | −0.497180 | − | 0.790212i | ||||
\(508\) | −1.46395 | + | 9.24300i | −0.0649522 | + | 0.410092i | ||||
\(509\) | 21.7992 | + | 15.8380i | 0.966231 | + | 0.702008i | 0.954590 | − | 0.297924i | \(-0.0962943\pi\) |
0.0116417 | + | 0.999932i | \(0.496294\pi\) | |||||||
\(510\) | 4.32380 | + | 4.04124i | 0.191461 | + | 0.178949i | ||||
\(511\) | −4.94235 | − | 3.59083i | −0.218637 | − | 0.158849i | ||||
\(512\) | 0.987688 | − | 0.156434i | 0.0436501 | − | 0.00691349i | ||||
\(513\) | −2.86018 | + | 14.0972i | −0.126280 | + | 0.622404i | ||||
\(514\) | −11.6887 | + | 16.0881i | −0.515567 | + | 0.709617i | ||||
\(515\) | −8.62505 | + | 14.7941i | −0.380065 | + | 0.651908i | ||||
\(516\) | 14.7540 | + | 3.35826i | 0.649508 | + | 0.147839i | ||||
\(517\) | 24.2031 | + | 3.83340i | 1.06445 | + | 0.168593i | ||||
\(518\) | −3.00854 | + | 5.90459i | −0.132188 | + | 0.259433i | ||||
\(519\) | −3.86208 | + | 1.65345i | −0.169527 | + | 0.0725786i | ||||
\(520\) | −1.31416 | + | 1.60889i | −0.0576296 | + | 0.0705543i | ||||
\(521\) | 16.5556i | 0.725313i | 0.931923 | + | 0.362657i | \(0.118130\pi\) | ||||
−0.931923 | + | 0.362657i | \(0.881870\pi\) | |||||||
\(522\) | 4.21321 | + | 2.91150i | 0.184407 | + | 0.127433i | ||||
\(523\) | −19.2810 | − | 37.8410i | −0.843098 | − | 1.65467i | −0.752316 | − | 0.658803i | \(-0.771063\pi\) |
−0.0907825 | − | 0.995871i | \(-0.528937\pi\) | |||||||
\(524\) | 5.53597 | + | 4.02212i | 0.241840 | + | 0.175707i | ||||
\(525\) | −0.526154 | + | 23.0484i | −0.0229632 | + | 1.00591i | ||||
\(526\) | 24.8558 | 1.08376 | ||||||||
\(527\) | −8.49119 | + | 0.537265i | −0.369882 | + | 0.0234037i | ||||
\(528\) | −3.07667 | + | 3.68972i | −0.133895 | + | 0.160575i | ||||
\(529\) | 12.3270 | + | 16.9666i | 0.535955 | + | 0.737679i | ||||
\(530\) | 1.99684 | + | 3.10353i | 0.0867373 | + | 0.134809i | ||||
\(531\) | −30.0079 | − | 4.02847i | −1.30223 | − | 0.174821i | ||||
\(532\) | 5.21095 | + | 5.21095i | 0.225923 | + | 0.225923i | ||||
\(533\) | −0.298480 | − | 0.298480i | −0.0129286 | − | 0.0129286i | ||||
\(534\) | 3.23874 | − | 14.2289i | 0.140154 | − | 0.615743i | ||||
\(535\) | −7.23734 | − | 8.10657i | −0.312897 | − | 0.350478i | ||||
\(536\) | 11.4877 | − | 3.73257i | 0.496191 | − | 0.161222i | ||||
\(537\) | −2.98867 | − | 0.199714i | −0.128971 | − | 0.00861831i | ||||
\(538\) | −11.5729 | − | 22.7130i | −0.498942 | − | 0.979229i | ||||
\(539\) | 0.194604 | − | 0.141388i | 0.00838218 | − | 0.00609001i | ||||
\(540\) | 0.666514 | + | 11.5998i | 0.0286822 | + | 0.499177i | ||||
\(541\) | −3.69046 | − | 11.3581i | −0.158665 | − | 0.488321i | 0.839849 | − | 0.542821i | \(-0.182644\pi\) |
−0.998514 | + | 0.0544995i | \(0.982644\pi\) | |||||||
\(542\) | −24.7689 | + | 3.92301i | −1.06391 | + | 0.168508i | ||||
\(543\) | −4.78615 | − | 18.9467i | −0.205393 | − | 0.813081i | ||||
\(544\) | 1.45332 | − | 0.472213i | 0.0623106 | − | 0.0202460i | ||||
\(545\) | 14.8554 | − | 9.55814i | 0.636337 | − | 0.409426i | ||||
\(546\) | 3.22422 | − | 2.82030i | 0.137984 | − | 0.120698i | ||||
\(547\) | 24.8394 | − | 12.6563i | 1.06206 | − | 0.541145i | 0.166477 | − | 0.986045i | \(-0.446761\pi\) |
0.895580 | + | 0.444900i | \(0.146761\pi\) | |||||||
\(548\) | 16.3585 | + | 2.59093i | 0.698801 | + | 0.110679i | ||||
\(549\) | 3.71936 | − | 2.00719i | 0.158739 | − | 0.0856647i | ||||
\(550\) | 12.9889 | − | 4.86029i | 0.553847 | − | 0.207244i | ||||
\(551\) | −4.49445 | − | 1.46033i | −0.191470 | − | 0.0622123i | ||||
\(552\) | −1.57968 | + | 1.89445i | −0.0672358 | + | 0.0806330i | ||||
\(553\) | 17.9774 | − | 17.9774i | 0.764478 | − | 0.764478i | ||||
\(554\) | 1.38167 | − | 4.25233i | 0.0587014 | − | 0.180664i | ||||
\(555\) | 7.60415 | − | 5.92705i | 0.322778 | − | 0.251589i | ||||
\(556\) | −11.4649 | + | 8.32973i | −0.486219 | + | 0.353259i | ||||
\(557\) | −16.0179 | + | 16.0179i | −0.678701 | + | 0.678701i | −0.959706 | − | 0.281005i | \(-0.909332\pi\) |
0.281005 | + | 0.959706i | \(0.409332\pi\) | |||||||
\(558\) | −12.7907 | − | 10.7424i | −0.541472 | − | 0.454762i | ||||
\(559\) | 8.11613i | 0.343276i | ||||||||
\(560\) | 5.14248 | + | 2.99809i | 0.217309 | + | 0.126692i | ||||
\(561\) | −3.76159 | + | 6.30437i | −0.158815 | + | 0.266171i | ||||
\(562\) | −18.5608 | + | 9.45723i | −0.782942 | + | 0.398929i | ||||
\(563\) | 7.42955 | + | 7.42955i | 0.313118 | + | 0.313118i | 0.846116 | − | 0.532998i | \(-0.178935\pi\) |
−0.532998 | + | 0.846116i | \(0.678935\pi\) | |||||||
\(564\) | −1.38076 | − | 15.2398i | −0.0581403 | − | 0.641713i | ||||
\(565\) | −11.0534 | + | 1.11451i | −0.465019 | + | 0.0468877i | ||||
\(566\) | 17.1675 | − | 5.57805i | 0.721602 | − | 0.234463i | ||||
\(567\) | 2.62584 | − | 23.8145i | 0.110275 | − | 1.00011i | ||||
\(568\) | −0.238273 | + | 1.50439i | −0.00999770 | + | 0.0631230i | ||||
\(569\) | 1.83950 | − | 5.66139i | 0.0771158 | − | 0.237338i | −0.905066 | − | 0.425271i | \(-0.860179\pi\) |
0.982182 | + | 0.187933i | \(0.0601788\pi\) | |||||||
\(570\) | −3.65546 | − | 10.0791i | −0.153111 | − | 0.422166i | ||||
\(571\) | 26.3542 | + | 19.1474i | 1.10289 | + | 0.801295i | 0.981529 | − | 0.191314i | \(-0.0612749\pi\) |
0.121359 | + | 0.992609i | \(0.461275\pi\) | |||||||
\(572\) | −2.29599 | − | 1.16986i | −0.0960000 | − | 0.0489145i | ||||
\(573\) | 7.49058 | − | 1.89220i | 0.312924 | − | 0.0790480i | ||||
\(574\) | −0.710953 | + | 0.978543i | −0.0296746 | + | 0.0408436i | ||||
\(575\) | 6.66899 | − | 2.49546i | 0.278116 | − | 0.104068i | ||||
\(576\) | 2.70445 | + | 1.29843i | 0.112686 | + | 0.0541013i | ||||
\(577\) | 11.0494 | + | 1.75005i | 0.459993 | + | 0.0728557i | 0.382130 | − | 0.924108i | \(-0.375191\pi\) |
0.0778623 | + | 0.996964i | \(0.475191\pi\) | |||||||
\(578\) | −13.0665 | + | 6.65771i | −0.543495 | + | 0.276924i | ||||
\(579\) | −14.5335 | + | 12.7128i | −0.603992 | + | 0.528326i | ||||
\(580\) | −3.81110 | − | 0.215899i | −0.158247 | − | 0.00896473i | ||||
\(581\) | 15.9786 | − | 5.19178i | 0.662906 | − | 0.215391i | ||||
\(582\) | −16.1154 | + | 10.1394i | −0.668004 | + | 0.420290i | ||||
\(583\) | −3.23693 | + | 3.23693i | −0.134060 | + | 0.134060i | ||||
\(584\) | 2.29484 | 0.0949613 | ||||||||
\(585\) | −5.98737 | + | 1.72948i | −0.247547 | + | 0.0715050i | ||||
\(586\) | −7.85029 | − | 5.70357i | −0.324292 | − | 0.235612i | ||||
\(587\) | −3.75421 | + | 23.7031i | −0.154953 | + | 0.978333i | 0.780570 | + | 0.625068i | \(0.214929\pi\) |
−0.935523 | + | 0.353265i | \(0.885071\pi\) | |||||||
\(588\) | −0.115365 | − | 0.0961970i | −0.00475757 | − | 0.00396710i | ||||
\(589\) | 14.1476 | + | 6.11623i | 0.582943 | + | 0.252015i | ||||
\(590\) | 20.6548 | − | 9.09163i | 0.850346 | − | 0.374297i | ||||
\(591\) | −30.1470 | + | 26.3703i | −1.24008 | + | 1.08473i | ||||
\(592\) | −0.389420 | − | 2.45870i | −0.0160051 | − | 0.101052i | ||||
\(593\) | −35.4347 | + | 18.0549i | −1.45513 | + | 0.741425i | −0.989632 | − | 0.143624i | \(-0.954124\pi\) |
−0.465497 | + | 0.885049i | \(0.654124\pi\) | |||||||
\(594\) | −13.8862 | + | 3.85906i | −0.569759 | + | 0.158339i | ||||
\(595\) | 8.47823 | + | 3.29570i | 0.347574 | + | 0.135111i | ||||
\(596\) | 12.3582 | + | 4.01542i | 0.506211 | + | 0.164478i | ||||
\(597\) | 28.5740 | + | 11.4421i | 1.16946 | + | 0.468295i | ||||
\(598\) | −1.17885 | − | 0.600654i | −0.0482067 | − | 0.0245626i | ||||
\(599\) | 27.4267 | − | 19.9266i | 1.12062 | − | 0.814180i | 0.136320 | − | 0.990665i | \(-0.456473\pi\) |
0.984303 | + | 0.176484i | \(0.0564725\pi\) | |||||||
\(600\) | −4.92914 | − | 7.12064i | −0.201231 | − | 0.290699i | ||||
\(601\) | 23.7836 | − | 17.2798i | 0.970152 | − | 0.704857i | 0.0146661 | − | 0.999892i | \(-0.495331\pi\) |
0.955486 | + | 0.295036i | \(0.0953315\pi\) | |||||||
\(602\) | 22.9699 | − | 3.63808i | 0.936185 | − | 0.148277i | ||||
\(603\) | 34.7179 | + | 10.3803i | 1.41382 | + | 0.422717i | ||||
\(604\) | −12.9119 | + | 17.7717i | −0.525378 | + | 0.723121i | ||||
\(605\) | −4.00077 | − | 6.21807i | −0.162655 | − | 0.252801i | ||||
\(606\) | −14.5966 | + | 6.24918i | −0.592948 | + | 0.253856i | ||||
\(607\) | 4.16422 | + | 26.2918i | 0.169020 | + | 1.06715i | 0.915669 | + | 0.401934i | \(0.131662\pi\) |
−0.746648 | + | 0.665219i | \(0.768338\pi\) | |||||||
\(608\) | −2.73419 | − | 0.433054i | −0.110886 | − | 0.0175626i | ||||
\(609\) | 7.67495 | + | 1.74695i | 0.311005 | + | 0.0707900i | ||||
\(610\) | −1.58661 | + | 2.72144i | −0.0642400 | + | 0.110188i | ||||
\(611\) | 7.80607 | − | 2.53635i | 0.315800 | − | 0.102610i | ||||
\(612\) | 4.39222 | + | 1.31322i | 0.177545 | + | 0.0530839i | ||||
\(613\) | 0.198130 | + | 0.388852i | 0.00800240 | + | 0.0157056i | 0.894973 | − | 0.446120i | \(-0.147195\pi\) |
−0.886971 | + | 0.461826i | \(0.847195\pi\) | |||||||
\(614\) | −27.0466 | −1.09151 | ||||||||
\(615\) | 1.54006 | − | 0.851375i | 0.0621014 | − | 0.0343308i | ||||
\(616\) | −2.28172 | + | 7.02241i | −0.0919331 | + | 0.282941i | ||||
\(617\) | 9.15979 | − | 1.45077i | 0.368759 | − | 0.0584057i | 0.0306951 | − | 0.999529i | \(-0.490228\pi\) |
0.338064 | + | 0.941123i | \(0.390228\pi\) | |||||||
\(618\) | −0.884431 | + | 13.2353i | −0.0355770 | + | 0.532401i | ||||
\(619\) | − | 22.9404i | − | 0.922054i | −0.887386 | − | 0.461027i | \(-0.847481\pi\) | ||
0.887386 | − | 0.461027i | \(-0.152519\pi\) | |||||||
\(620\) | 12.3092 | + | 1.86640i | 0.494350 | + | 0.0749565i | ||||
\(621\) | −7.12973 | + | 1.98139i | −0.286106 | + | 0.0795105i | ||||
\(622\) | −5.91691 | − | 0.937146i | −0.237246 | − | 0.0375761i | ||||
\(623\) | −3.50860 | − | 22.1524i | −0.140569 | − | 0.887517i | ||||
\(624\) | −0.357132 | + | 1.56900i | −0.0142967 | + | 0.0628104i | ||||
\(625\) | 2.19219 | + | 24.9037i | 0.0876878 | + | 0.996148i | ||||
\(626\) | 22.9794i | 0.918443i | ||||||||
\(627\) | 11.2566 | − | 7.08232i | 0.449544 | − | 0.282841i | ||||
\(628\) | 9.06480 | + | 4.61874i | 0.361725 | + | 0.184308i | ||||
\(629\) | −1.17550 | − | 3.61783i | −0.0468704 | − | 0.144252i | ||||
\(630\) | 7.57855 | + | 16.1700i | 0.301937 | + | 0.644227i | ||||
\(631\) | −4.82652 | + | 14.8545i | −0.192141 | + | 0.591348i | 0.807857 | + | 0.589378i | \(0.200627\pi\) |
−0.999998 | + | 0.00197030i | \(0.999373\pi\) | |||||||
\(632\) | −1.49401 | + | 9.43278i | −0.0594284 | + | 0.375216i | ||||
\(633\) | 7.42782 | + | 29.4042i | 0.295229 | + | 1.16871i | ||||
\(634\) | −2.80722 | + | 0.912120i | −0.111489 | + | 0.0362249i | ||||
\(635\) | 4.43722 | − | 20.4497i | 0.176086 | − | 0.811523i | ||||
\(636\) | 2.45483 | + | 1.46471i | 0.0973403 | + | 0.0580795i | ||||
\(637\) | 0.0365776 | − | 0.0717876i | 0.00144926 | − | 0.00284433i | ||||
\(638\) | −0.740713 | − | 4.67668i | −0.0293251 | − | 0.185152i | ||||
\(639\) | −3.15384 | + | 3.30653i | −0.124764 | + | 0.130804i | ||||
\(640\) | −2.22479 | + | 0.224324i | −0.0879424 | + | 0.00886720i | ||||
\(641\) | −13.3327 | − | 18.3509i | −0.526609 | − | 0.724816i | 0.460000 | − | 0.887919i | \(-0.347850\pi\) |
−0.986609 | + | 0.163103i | \(0.947850\pi\) | |||||||
\(642\) | −7.81444 | − | 3.12920i | −0.308411 | − | 0.123500i | ||||
\(643\) | −9.86235 | − | 5.02512i | −0.388933 | − | 0.198171i | 0.248579 | − | 0.968612i | \(-0.420036\pi\) |
−0.637512 | + | 0.770440i | \(0.720036\pi\) | |||||||
\(644\) | −1.17152 | + | 3.60558i | −0.0461645 | + | 0.142080i | ||||
\(645\) | −32.5134 | − | 9.36323i | −1.28021 | − | 0.368677i | ||||
\(646\) | −4.23024 | −0.166436 | ||||||||
\(647\) | −4.31802 | − | 8.47459i | −0.169759 | − | 0.333170i | 0.790416 | − | 0.612570i | \(-0.209864\pi\) |
−0.960175 | + | 0.279400i | \(0.909864\pi\) | |||||||
\(648\) | 4.46020 | + | 7.81707i | 0.175213 | + | 0.307084i | ||||
\(649\) | 16.4539 | + | 22.6468i | 0.645872 | + | 0.888966i | ||||
\(650\) | 3.13732 | − | 3.42562i | 0.123056 | − | 0.134364i | ||||
\(651\) | −24.3876 | − | 8.01944i | −0.955824 | − | 0.314307i | ||||
\(652\) | 17.9952 | + | 17.9952i | 0.704747 | + | 0.704747i | ||||
\(653\) | 10.3185 | + | 1.63429i | 0.403795 | + | 0.0639549i | 0.355029 | − | 0.934855i | \(-0.384471\pi\) |
0.0487663 | + | 0.998810i | \(0.484471\pi\) | |||||||
\(654\) | 7.01102 | − | 11.7504i | 0.274153 | − | 0.459475i | ||||
\(655\) | −11.8503 | − | 9.67948i | −0.463030 | − | 0.378209i | ||||
\(656\) | − | 0.454359i | − | 0.0177397i | ||||||
\(657\) | 5.66376 | + | 3.91389i | 0.220964 | + | 0.152695i | ||||
\(658\) | −10.6774 | − | 20.9555i | −0.416247 | − | 0.816931i | ||||
\(659\) | 13.7492 | + | 42.3155i | 0.535591 | + | 1.64838i | 0.742369 | + | 0.669992i | \(0.233702\pi\) |
−0.206778 | + | 0.978388i | \(0.566298\pi\) | |||||||
\(660\) | 7.33528 | − | 7.84815i | 0.285525 | − | 0.305489i | ||||
\(661\) | −31.6237 | + | 22.9760i | −1.23002 | + | 0.893662i | −0.996892 | − | 0.0787842i | \(-0.974896\pi\) |
−0.233128 | + | 0.972446i | \(0.574896\pi\) | |||||||
\(662\) | −10.4329 | − | 20.4757i | −0.405485 | − | 0.795809i | ||||
\(663\) | −0.163950 | + | 2.45347i | −0.00636728 | + | 0.0952847i | ||||
\(664\) | −3.70962 | + | 5.10586i | −0.143961 | + | 0.198146i | ||||
\(665\) | −10.9744 | − | 12.2924i | −0.425567 | − | 0.476680i | ||||
\(666\) | 3.23225 | − | 6.73233i | 0.125247 | − | 0.260873i | ||||
\(667\) | −0.380311 | − | 2.40119i | −0.0147257 | − | 0.0929745i | ||||
\(668\) | −6.93205 | + | 13.6049i | −0.268209 | + | 0.526390i | ||||
\(669\) | −23.9800 | − | 14.3080i | −0.927121 | − | 0.553181i | ||||
\(670\) | −26.1181 | + | 6.88006i | −1.00903 | + | 0.265800i | ||||
\(671\) | −3.71632 | − | 1.20750i | −0.143467 | − | 0.0466152i | ||||
\(672\) | 4.60061 | + | 0.307430i | 0.177473 | + | 0.0118594i | ||||
\(673\) | 13.3479 | + | 6.80107i | 0.514522 | + | 0.262162i | 0.691916 | − | 0.721978i | \(-0.256767\pi\) |
−0.177394 | + | 0.984140i | \(0.556767\pi\) | |||||||
\(674\) | 1.94161 | + | 5.97566i | 0.0747881 | + | 0.230174i | ||||
\(675\) | −0.0209468 | − | 25.9808i | −0.000806245 | − | 1.00000i | ||||
\(676\) | 12.1369 | 0.466804 | ||||||||
\(677\) | −8.78786 | + | 8.78786i | −0.337745 | + | 0.337745i | −0.855518 | − | 0.517773i | \(-0.826761\pi\) |
0.517773 | + | 0.855518i | \(0.326761\pi\) | |||||||
\(678\) | −7.28361 | + | 4.58265i | −0.279725 | + | 0.175996i | ||||
\(679\) | −17.2005 | + | 23.6745i | −0.660096 | + | 0.908544i | ||||
\(680\) | −3.30424 | + | 0.870407i | −0.126712 | + | 0.0333786i | ||||
\(681\) | −34.1868 | + | 3.09739i | −1.31004 | + | 0.118692i | ||||
\(682\) | 0.975193 | + | 15.4124i | 0.0373421 | + | 0.590171i | ||||
\(683\) | 1.61894 | + | 1.61894i | 0.0619470 | + | 0.0619470i | 0.737402 | − | 0.675455i | \(-0.236053\pi\) |
−0.675455 | + | 0.737402i | \(0.736053\pi\) | |||||||
\(684\) | −6.00951 | − | 5.73200i | −0.229779 | − | 0.219169i | ||||
\(685\) | −36.1925 | − | 7.85310i | −1.38284 | − | 0.300052i | ||||
\(686\) | 17.5030 | + | 5.68708i | 0.668268 | + | 0.217134i | ||||
\(687\) | −2.58149 | + | 3.09587i | −0.0984900 | + | 0.118115i | ||||
\(688\) | −6.17735 | + | 6.17735i | −0.235509 | + | 0.235509i | ||||
\(689\) | −0.473812 | + | 1.45824i | −0.0180508 | + | 0.0555546i | ||||
\(690\) | 3.76622 | − | 4.02955i | 0.143378 | − | 0.153402i | ||||
\(691\) | 11.8070 | + | 36.3381i | 0.449158 | + | 1.38237i | 0.877858 | + | 0.478920i | \(0.158972\pi\) |
−0.428700 | + | 0.903447i | \(0.641028\pi\) | |||||||
\(692\) | 0.379437 | − | 2.39567i | 0.0144240 | − | 0.0910697i | ||||
\(693\) | −17.6082 | + | 13.4401i | −0.668880 | + | 0.510546i | ||||
\(694\) | 14.7083 | + | 20.2443i | 0.558320 | + | 0.768462i | ||||
\(695\) | 26.6487 | − | 17.1460i | 1.01084 | − | 0.650387i | ||||
\(696\) | −2.71816 | + | 1.16371i | −0.103032 | + | 0.0441104i | ||||
\(697\) | −0.108614 | − | 0.685764i | −0.00411406 | − | 0.0259752i | ||||
\(698\) | 3.01641 | + | 19.0449i | 0.114173 | + | 0.720858i | ||||
\(699\) | 15.7271 | − | 6.73315i | 0.594852 | − | 0.254671i | ||||
\(700\) | −11.1014 | − | 7.34357i | −0.419592 | − | 0.277561i | ||||
\(701\) | 10.3003 | + | 14.1772i | 0.389039 | + | 0.535466i | 0.957951 | − | 0.286932i | \(-0.0926355\pi\) |
−0.568912 | + | 0.822398i | \(0.692636\pi\) | |||||||
\(702\) | −3.55737 | + | 3.26326i | −0.134264 | + | 0.123164i | ||||
\(703\) | −1.07802 | + | 6.80636i | −0.0406584 | + | 0.256707i | ||||
\(704\) | −0.857115 | − | 2.63793i | −0.0323038 | − | 0.0994207i | ||||
\(705\) | 1.15513 | + | 34.1974i | 0.0435046 | + | 1.28795i | ||||
\(706\) | 1.75428 | − | 5.39913i | 0.0660233 | − | 0.203199i | ||||
\(707\) | −17.2562 | + | 17.2562i | −0.648987 | + | 0.648987i | ||||
\(708\) | 11.1948 | − | 13.4255i | 0.420728 | − | 0.504560i | ||||
\(709\) | −32.1496 | − | 10.4460i | −1.20740 | − | 0.392309i | −0.364924 | − | 0.931037i | \(-0.618905\pi\) |
−0.842480 | + | 0.538728i | \(0.818905\pi\) | |||||||
\(710\) | 0.722203 | − | 3.32841i | 0.0271038 | − | 0.124913i | ||||
\(711\) | −19.7750 | + | 20.7324i | −0.741622 | + | 0.777527i | ||||
\(712\) | 5.95749 | + | 5.95749i | 0.223266 | + | 0.223266i | ||||
\(713\) | 0.500702 | + | 7.91333i | 0.0187514 | + | 0.296356i | ||||
\(714\) | 7.01719 | − | 0.635770i | 0.262612 | − | 0.0237931i | ||||
\(715\) | 4.97781 | + | 2.90208i | 0.186160 | + | 0.108532i | ||||
\(716\) | 1.01649 | − | 1.39908i | 0.0379881 | − | 0.0522861i | ||||
\(717\) | 9.72830 | − | 6.12078i | 0.363310 | − | 0.228585i | ||||
\(718\) | 22.3308 | − | 22.3308i | 0.833378 | − | 0.833378i | ||||
\(719\) | −27.6282 | −1.03036 | −0.515179 | − | 0.857083i | \(-0.672274\pi\) | ||||
−0.515179 | + | 0.857083i | \(0.672274\pi\) | |||||||
\(720\) | −5.87345 | − | 3.24077i | −0.218891 | − | 0.120776i | ||||
\(721\) | 6.30007 | + | 19.3896i | 0.234627 | + | 0.722107i | ||||
\(722\) | −10.1010 | − | 5.14673i | −0.375922 | − | 0.191542i | ||||
\(723\) | −3.37520 | − | 0.225544i | −0.125525 | − | 0.00838806i | ||||
\(724\) | 10.7303 | + | 3.48649i | 0.398788 | + | 0.129574i | ||||
\(725\) | 8.48093 | + | 0.963985i | 0.314974 | + | 0.0358015i | ||||
\(726\) | −4.91837 | − | 2.93462i | −0.182538 | − | 0.108914i | ||||
\(727\) | 3.25490 | − | 6.38810i | 0.120717 | − | 0.236921i | −0.822738 | − | 0.568421i | \(-0.807555\pi\) |
0.943455 | + | 0.331500i | \(0.107555\pi\) | |||||||
\(728\) | 0.386889 | + | 2.44272i | 0.0143391 | + | 0.0905333i | ||||
\(729\) | −2.32420 | + | 26.8998i | −0.0860814 | + | 0.996288i | ||||
\(730\) | −5.12321 | − | 0.290231i | −0.189619 | − | 0.0107419i | ||||
\(731\) | −7.84678 | + | 10.8002i | −0.290224 | + | 0.399458i | ||||
\(732\) | −0.162695 | + | 2.43468i | −0.00601337 | + | 0.0899885i | ||||
\(733\) | 14.8262 | + | 29.0981i | 0.547618 | + | 1.07476i | 0.984523 | + | 0.175254i | \(0.0560746\pi\) |
−0.436905 | + | 0.899508i | \(0.643925\pi\) | |||||||
\(734\) | −20.5742 | + | 14.9481i | −0.759409 | + | 0.551743i | ||||
\(735\) | 0.245385 | + | 0.229349i | 0.00905115 | + | 0.00845966i | ||||
\(736\) | −0.440077 | − | 1.35442i | −0.0162214 | − | 0.0499245i | ||||
\(737\) | −15.2100 | − | 29.8513i | −0.560267 | − | 1.09959i | ||||
\(738\) | 0.774917 | − | 1.12138i | 0.0285251 | − | 0.0412784i | ||||
\(739\) | 42.3113i | 1.55645i | 0.627987 | + | 0.778224i | \(0.283879\pi\) | ||||
−0.627987 | + | 0.778224i | \(0.716121\pi\) | |||||||
\(740\) | 0.558422 | + | 5.53827i | 0.0205280 | + | 0.203591i | ||||
\(741\) | 2.28245 | − | 3.82534i | 0.0838477 | − | 0.140527i | ||||
\(742\) | 4.33945 | + | 0.687301i | 0.159306 | + | 0.0252316i | ||||
\(743\) | −37.6854 | − | 37.6854i | −1.38254 | − | 1.38254i | −0.840079 | − | 0.542464i | \(-0.817491\pi\) |
−0.542464 | − | 0.840079i | \(-0.682509\pi\) | |||||||
\(744\) | 9.18214 | − | 2.94761i | 0.336633 | − | 0.108065i | ||||
\(745\) | −27.0817 | − | 10.5273i | −0.992196 | − | 0.385691i | ||||
\(746\) | 13.8468 | + | 19.0584i | 0.506966 | + | 0.697778i | ||||
\(747\) | −17.8636 | + | 6.27463i | −0.653595 | + | 0.229577i | ||||
\(748\) | −1.92424 | − | 3.77653i | −0.0703572 | − | 0.138084i | ||||
\(749\) | −12.9376 | −0.472731 | ||||||||
\(750\) | 10.1037 | + | 16.5201i | 0.368935 | + | 0.603230i | ||||
\(751\) | −5.51920 | + | 16.9863i | −0.201398 | + | 0.619841i | 0.798444 | + | 0.602070i | \(0.205657\pi\) |
−0.999842 | + | 0.0177711i | \(0.994343\pi\) | |||||||
\(752\) | 7.87183 | + | 4.01090i | 0.287056 | + | 0.146262i | ||||
\(753\) | −6.70784 | − | 2.68607i | −0.244447 | − | 0.0978860i | ||||
\(754\) | −0.932204 | − | 1.28307i | −0.0339489 | − | 0.0467266i | ||||
\(755\) | 31.0733 | − | 38.0422i | 1.13087 | − | 1.38450i | ||||
\(756\) | 10.8302 | + | 8.60517i | 0.393889 | + | 0.312967i | ||||
\(757\) | 3.25826 | + | 20.5718i | 0.118423 | + | 0.747696i | 0.973414 | + | 0.229053i | \(0.0735628\pi\) |
−0.854991 | + | 0.518644i | \(0.826437\pi\) | |||||||
\(758\) | 0.249515 | − | 0.489701i | 0.00906280 | − | 0.0177868i | ||||
\(759\) | 5.87533 | + | 3.50560i | 0.213261 | + | 0.127245i | ||||
\(760\) | 6.04929 | + | 1.31258i | 0.219431 | + | 0.0476124i | ||||
\(761\) | −9.06370 | + | 2.94497i | −0.328559 | + | 0.106755i | −0.468651 | − | 0.883383i | \(-0.655260\pi\) |
0.140093 | + | 0.990138i | \(0.455260\pi\) | |||||||
\(762\) | −3.96985 | − | 15.7152i | −0.143812 | − | 0.569303i | ||||
\(763\) | 3.28986 | − | 20.7713i | 0.119101 | − | 0.751973i | ||||
\(764\) | −1.37838 | + | 4.24223i | −0.0498681 | + | 0.153478i | ||||
\(765\) | −9.63950 | − | 3.48725i | −0.348517 | − | 0.126082i | ||||
\(766\) | −6.96461 | − | 21.4349i | −0.251641 | − | 0.774473i | ||||
\(767\) | 8.35421 | + | 4.25668i | 0.301653 | + | 0.153700i | ||||
\(768\) | −1.46602 | + | 0.922379i | −0.0529005 | + | 0.0332835i | ||||
\(769\) | 40.1193i | 1.44674i | 0.690461 | + | 0.723370i | \(0.257408\pi\) | ||||
−0.690461 | + | 0.723370i | \(0.742592\pi\) | |||||||
\(770\) | 5.98204 | − | 15.3889i | 0.215578 | − | 0.554576i | ||||
\(771\) | 7.64443 | − | 33.5846i | 0.275307 | − | 1.20952i | ||||
\(772\) | −1.74394 | − | 11.0108i | −0.0627658 | − | 0.396288i | ||||
\(773\) | −46.7369 | − | 7.40239i | −1.68101 | − | 0.266246i | −0.758345 | − | 0.651853i | \(-0.773992\pi\) |
−0.922663 | + | 0.385608i | \(0.873992\pi\) | |||||||
\(774\) | −25.7815 | + | 4.71037i | −0.926697 | + | 0.169311i | ||||
\(775\) | −27.2441 | − | 5.72348i | −0.978638 | − | 0.205593i | ||||
\(776\) | − | 10.9926i | − | 0.394612i | ||||||
\(777\) | 0.765302 | − | 11.4525i | 0.0274550 | − | 0.410858i | ||||
\(778\) | 11.8550 | − | 1.87765i | 0.425022 | − | 0.0673169i | ||||
\(779\) | −0.388679 | + | 1.19623i | −0.0139259 | + | 0.0428594i | ||||
\(780\) | 0.995726 | − | 3.45761i | 0.0356527 | − | 0.123802i | ||||
\(781\) | 4.22473 | 0.151173 | ||||||||
\(782\) | −0.987980 | − | 1.93902i | −0.0353301 | − | 0.0693392i | ||||
\(783\) | −8.69327 | − | 1.76378i | −0.310672 | − | 0.0630325i | ||||
\(784\) | 0.0824790 | − | 0.0267990i | 0.00294568 | − | 0.000957108i | ||||
\(785\) | −19.6529 | − | 11.4577i | −0.701443 | − | 0.408944i | ||||
\(786\) | −11.5566 | − | 2.63047i | −0.412209 | − | 0.0938258i | ||||
\(787\) | 0.139135 | + | 0.0220369i | 0.00495964 | + | 0.000785531i | 0.158914 | − | 0.987292i | \(-0.449201\pi\) |
−0.153954 | + | 0.988078i | \(0.549201\pi\) | |||||||
\(788\) | −3.61748 | − | 22.8398i | −0.128867 | − | 0.813636i | ||||
\(789\) | −39.5770 | + | 16.9439i | −1.40898 | + | 0.603219i | ||||
\(790\) | 4.52832 | − | 20.8696i | 0.161111 | − | 0.742508i | ||||
\(791\) | −7.77407 | + | 10.7001i | −0.276414 | + | 0.380451i | ||||
\(792\) | 2.38364 | − | 7.97234i | 0.0846989 | − | 0.283285i | ||||
\(793\) | −1.29271 | + | 0.204745i | −0.0459055 | + | 0.00727071i | ||||
\(794\) | 17.0338 | − | 12.3758i | 0.604508 | − | 0.439200i | ||||
\(795\) | −5.29513 | − | 3.58041i | −0.187799 | − | 0.126984i | ||||
\(796\) | −14.3768 | + | 10.4454i | −0.509573 | + | 0.370226i | ||||
\(797\) | 14.0831 | + | 7.17567i | 0.498847 | + | 0.254175i | 0.685263 | − | 0.728296i | \(-0.259687\pi\) |
−0.186416 | + | 0.982471i | \(0.559687\pi\) | |||||||
\(798\) | −11.8494 | − | 4.74497i | −0.419466 | − | 0.167970i | ||||
\(799\) | 12.8397 | + | 4.17189i | 0.454238 | + | 0.147591i | ||||
\(800\) | 4.99518 | − | 0.219431i | 0.176606 | − | 0.00775805i | ||||
\(801\) | 4.54272 | + | 24.8639i | 0.160509 | + | 0.878523i | ||||
\(802\) | −11.9186 | + | 6.07282i | −0.420859 | + | 0.214439i | ||||
\(803\) | −0.995732 | − | 6.28680i | −0.0351386 | − | 0.221856i | ||||
\(804\) | −15.7469 | + | 13.7742i | −0.555351 | + | 0.485779i | ||||
\(805\) | 3.07141 | − | 7.90125i | 0.108253 | − | 0.278482i | ||||
\(806\) | 2.63468 | + | 4.45137i | 0.0928026 | + | 0.156793i | ||||
\(807\) | 33.9103 | + | 28.2761i | 1.19370 | + | 0.995365i | ||||
\(808\) | 1.43407 | − | 9.05436i | 0.0504504 | − | 0.318531i | ||||
\(809\) | −29.4055 | − | 21.3643i | −1.03384 | − | 0.751130i | −0.0647674 | − | 0.997900i | \(-0.520631\pi\) |
−0.969074 | + | 0.246771i | \(0.920631\pi\) | |||||||
\(810\) | −8.96871 | − | 18.0156i | −0.315128 | − | 0.633004i | ||||
\(811\) | −9.15689 | −0.321542 | −0.160771 | − | 0.986992i | \(-0.551398\pi\) | ||||
−0.160771 | + | 0.986992i | \(0.551398\pi\) | |||||||
\(812\) | −3.21343 | + | 3.21343i | −0.112769 | + | 0.112769i | ||||
\(813\) | 36.7643 | − | 23.1311i | 1.28938 | − | 0.811243i | ||||
\(814\) | −6.56673 | + | 2.13366i | −0.230164 | + | 0.0747847i | ||||
\(815\) | −37.8982 | − | 42.4500i | −1.32752 | − | 1.48696i | ||||
\(816\) | −1.99217 | + | 1.74260i | −0.0697399 | + | 0.0610031i | ||||
\(817\) | 21.5480 | − | 10.9793i | 0.753870 | − | 0.384116i | ||||
\(818\) | −16.7888 | − | 2.65908i | −0.587006 | − | 0.0929725i | ||||
\(819\) | −3.21125 | + | 6.68858i | −0.112210 | + | 0.233718i | ||||
\(820\) | −0.0574632 | + | 1.01435i | −0.00200670 | + | 0.0354227i | ||||
\(821\) | 19.9579 | − | 27.4697i | 0.696534 | − | 0.958697i | −0.303448 | − | 0.952848i | \(-0.598138\pi\) |
0.999983 | − | 0.00584957i | \(-0.00186199\pi\) | |||||||
\(822\) | −27.8132 | + | 7.02594i | −0.970098 | + | 0.245058i | ||||
\(823\) | 10.7780 | + | 5.49165i | 0.375697 | + | 0.191427i | 0.631635 | − | 0.775266i | \(-0.282384\pi\) |
−0.255938 | + | 0.966693i | \(0.582384\pi\) | |||||||
\(824\) | −6.19581 | − | 4.50152i | −0.215841 | − | 0.156818i | ||||
\(825\) | −17.3685 | + | 16.5932i | −0.604693 | + | 0.577701i | ||||
\(826\) | 8.30230 | − | 25.5518i | 0.288874 | − | 0.889062i | ||||
\(827\) | 3.25601 | − | 20.5577i | 0.113223 | − | 0.714860i | −0.864134 | − | 0.503262i | \(-0.832133\pi\) |
0.977357 | − | 0.211598i | \(-0.0678668\pi\) | |||||||
\(828\) | 1.22385 | − | 4.09331i | 0.0425318 | − | 0.142252i | ||||
\(829\) | 10.8358 | − | 3.52078i | 0.376344 | − | 0.122282i | −0.114736 | − | 0.993396i | \(-0.536602\pi\) |
0.491080 | + | 0.871114i | \(0.336602\pi\) | |||||||
\(830\) | 8.92743 | − | 10.9296i | 0.309876 | − | 0.379372i | ||||
\(831\) | 0.698784 | + | 7.71269i | 0.0242405 | + | 0.267550i | ||||
\(832\) | −0.656926 | − | 0.656926i | −0.0227748 | − | 0.0227748i | ||||
\(833\) | 0.118079 | − | 0.0601643i | 0.00409120 | − | 0.00208457i | ||||
\(834\) | 12.5768 | − | 21.0786i | 0.435501 | − | 0.729892i | ||||
\(835\) | 17.1963 | − | 29.4961i | 0.595104 | − | 1.02075i | ||||
\(836\) | 7.67832i | 0.265560i | ||||||||
\(837\) | 27.6891 | + | 8.38547i | 0.957074 | + | 0.289844i | ||||
\(838\) | 24.3765 | − | 24.3765i | 0.842073 | − | 0.842073i | ||||
\(839\) | −14.8704 | + | 10.8040i | −0.513384 | + | 0.372995i | −0.814106 | − | 0.580717i | \(-0.802772\pi\) |
0.300722 | + | 0.953712i | \(0.402772\pi\) | |||||||
\(840\) | −10.2319 | − | 1.26818i | −0.353035 | − | 0.0437563i | ||||
\(841\) | −8.06095 | + | 24.8091i | −0.277964 | + | 0.855485i | ||||
\(842\) | 1.22930 | − | 1.22930i | 0.0423644 | − | 0.0423644i | ||||
\(843\) | 23.1069 | − | 27.7111i | 0.795844 | − | 0.954421i | ||||
\(844\) | −16.6528 | − | 5.41082i | −0.573213 | − | 0.186248i | ||||
\(845\) | −27.0955 | − | 1.53496i | −0.932113 | − | 0.0528043i | ||||
\(846\) | 12.5873 | + | 23.3246i | 0.432761 | + | 0.801916i | ||||
\(847\) | −8.69430 | − | 1.37704i | −0.298740 | − | 0.0473157i | ||||
\(848\) | −1.47053 | + | 0.749270i | −0.0504981 | + | 0.0257301i | ||||
\(849\) | −23.5326 | + | 20.5846i | −0.807638 | + | 0.706460i | ||||
\(850\) | 7.48677 | − | 1.52528i | 0.256794 | − | 0.0523168i | ||||
\(851\) | −3.37162 | + | 1.09550i | −0.115578 | + | 0.0375534i | ||||
\(852\) | −0.646134 | − | 2.55782i | −0.0221362 | − | 0.0876295i | ||||
\(853\) | −38.9434 | + | 6.16803i | −1.33340 | + | 0.211189i | −0.782117 | − | 0.623131i | \(-0.785860\pi\) |
−0.551279 | + | 0.834321i | \(0.685860\pi\) | |||||||
\(854\) | 1.15892 | + | 3.56680i | 0.0396575 | + | 0.122053i | ||||
\(855\) | 12.6912 | + | 13.5567i | 0.434031 | + | 0.463628i | ||||
\(856\) | 3.93178 | − | 2.85661i | 0.134386 | − | 0.0976368i | ||||
\(857\) | −0.286096 | − | 0.561495i | −0.00977286 | − | 0.0191803i | 0.886068 | − | 0.463554i | \(-0.153426\pi\) |
−0.895841 | + | 0.444374i | \(0.853426\pi\) | |||||||
\(858\) | 4.45330 | + | 0.297586i | 0.152033 | + | 0.0101594i | ||||
\(859\) | 21.7280 | − | 7.05986i | 0.741351 | − | 0.240879i | 0.0860954 | − | 0.996287i | \(-0.472561\pi\) |
0.655255 | + | 0.755407i | \(0.272561\pi\) | |||||||
\(860\) | 14.5721 | − | 13.0096i | 0.496905 | − | 0.443624i | ||||
\(861\) | 0.464964 | − | 2.04275i | 0.0158459 | − | 0.0696166i | ||||
\(862\) | 21.7322 | + | 21.7322i | 0.740200 | + | 0.740200i | ||||
\(863\) | −21.7186 | − | 21.7186i | −0.739310 | − | 0.739310i | 0.233135 | − | 0.972444i | \(-0.425102\pi\) |
−0.972444 | + | 0.233135i | \(0.925102\pi\) | |||||||
\(864\) | −5.19133 | − | 0.223854i | −0.176613 | − | 0.00761566i | ||||
\(865\) | −1.15007 | + | 5.30032i | −0.0391036 | + | 0.180216i | ||||
\(866\) | −23.6774 | − | 32.5891i | −0.804590 | − | 1.10742i | ||||
\(867\) | 16.2668 | − | 19.5081i | 0.552450 | − | 0.662530i | ||||
\(868\) | 11.4171 | − | 9.45191i | 0.387521 | − | 0.320819i | ||||
\(869\) | 26.4897 | 0.898601 | ||||||||
\(870\) | 6.21545 | − | 2.25421i | 0.210723 | − | 0.0764248i | ||||
\(871\) | −9.07850 | − | 6.59592i | −0.307613 | − | 0.223494i | ||||
\(872\) | 3.58648 | + | 7.03886i | 0.121454 | + | 0.238366i | ||||
\(873\) | 18.7481 | − | 27.1302i | 0.634526 | − | 0.918217i | ||||
\(874\) | 3.94235i | 0.133352i | ||||||||
\(875\) | 23.8549 | + | 17.7984i | 0.806443 | + | 0.601697i | ||||
\(876\) | −3.65399 | + | 1.56437i | −0.123457 | + | 0.0528550i | ||||
\(877\) | 3.65569 | − | 7.17470i | 0.123444 | − | 0.242272i | −0.821012 | − | 0.570911i | \(-0.806590\pi\) |
0.944456 | + | 0.328639i | \(0.106590\pi\) | |||||||
\(878\) | 9.66056 | + | 1.53008i | 0.326028 | + | 0.0516378i | ||||
\(879\) | 16.3878 | + | 3.73014i | 0.552746 | + | 0.125815i | ||||
\(880\) | 1.57988 | + | 5.99755i | 0.0532577 | + | 0.202177i | ||||
\(881\) | 5.75875 | − | 7.92624i | 0.194017 | − | 0.267042i | −0.700914 | − | 0.713246i | \(-0.747224\pi\) |
0.894931 | + | 0.446204i | \(0.147224\pi\) | |||||||
\(882\) | 0.249267 | + | 0.0745281i | 0.00839327 | + | 0.00250949i | ||||
\(883\) | 23.6742 | − | 3.74962i | 0.796699 | − | 0.126185i | 0.255203 | − | 0.966888i | \(-0.417858\pi\) |
0.541497 | + | 0.840703i | \(0.317858\pi\) | |||||||
\(884\) | −1.14854 | − | 0.834460i | −0.0386294 | − | 0.0280659i | ||||
\(885\) | −26.6903 | + | 28.5564i | −0.897184 | + | 0.959913i | ||||
\(886\) | −24.9664 | − | 18.1392i | −0.838763 | − | 0.609397i | ||||
\(887\) | −8.29388 | + | 52.3655i | −0.278481 | + | 1.75826i | 0.310934 | + | 0.950432i | \(0.399358\pi\) |
−0.589415 | + | 0.807830i | \(0.700642\pi\) | |||||||
\(888\) | 2.29612 | + | 3.64944i | 0.0770529 | + | 0.122467i | ||||
\(889\) | −14.6431 | − | 20.1546i | −0.491115 | − | 0.675962i | ||||
\(890\) | −12.5466 | − | 14.0535i | −0.420562 | − | 0.471074i | ||||
\(891\) | 19.4799 | − | 15.6107i | 0.652600 | − | 0.522978i | ||||
\(892\) | 14.3649 | − | 7.31926i | 0.480971 | − | 0.245067i | ||||
\(893\) | −17.2937 | − | 17.2937i | −0.578713 | − | 0.578713i | ||||
\(894\) | −22.4147 | + | 2.03082i | −0.749661 | + | 0.0679206i | ||||
\(895\) | −2.44625 | + | 2.99488i | −0.0817691 | + | 0.100108i | ||||
\(896\) | −1.56474 | + | 2.15368i | −0.0522742 | + | 0.0719493i | ||||
\(897\) | 2.28650 | + | 0.152792i | 0.0763439 | + | 0.00510159i | ||||
\(898\) | 24.7455 | − | 24.7455i | 0.825768 | − | 0.825768i | ||||
\(899\) | −3.77168 | + | 8.72440i | −0.125793 | + | 0.290975i | ||||
\(900\) | 12.7025 | + | 7.97780i | 0.423418 | + | 0.265927i | ||||
\(901\) | −2.04035 | + | 1.48240i | −0.0679739 | + | 0.0493860i | ||||
\(902\) | −1.24473 | + | 0.197146i | −0.0414451 | + | 0.00656426i | ||||
\(903\) | −34.0942 | + | 21.4511i | −1.13458 | + | 0.713848i | ||||
\(904\) | − | 4.96829i | − | 0.165243i | ||||||
\(905\) | −23.5143 | − | 9.14061i | −0.781643 | − | 0.303844i | ||||
\(906\) | 8.44441 | − | 37.0992i | 0.280547 | − | 1.23254i | ||||
\(907\) | −14.8360 | + | 29.1172i | −0.492620 | + | 0.966822i | 0.502159 | + | 0.864775i | \(0.332539\pi\) |
−0.994780 | + | 0.102047i | \(0.967461\pi\) | |||||||
\(908\) | 8.99746 | − | 17.6585i | 0.298591 | − | 0.586018i | ||||
\(909\) | 18.9817 | − | 19.9007i | 0.629583 | − | 0.660064i | ||||
\(910\) | −0.554793 | − | 5.50228i | −0.0183912 | − | 0.182399i | ||||
\(911\) | 34.0188 | + | 46.8229i | 1.12709 | + | 1.55131i | 0.793474 | + | 0.608604i | \(0.208270\pi\) |
0.333619 | + | 0.942708i | \(0.391730\pi\) | |||||||
\(912\) | 4.64876 | − | 1.17433i | 0.153936 | − | 0.0388859i | ||||
\(913\) | 15.5973 | + | 7.94721i | 0.516195 | + | 0.263014i | ||||
\(914\) | 31.1439 | + | 22.6274i | 1.03015 | + | 0.748446i | ||||
\(915\) | 0.671131 | − | 5.41483i | 0.0221869 | − | 0.179009i | ||||
\(916\) | −0.719165 | − | 2.21336i | −0.0237619 | − | 0.0731315i | ||||
\(917\) | −17.9920 | + | 2.84965i | −0.594148 | + | 0.0941038i | ||||
\(918\) | −7.88878 | + | 0.903122i | −0.260368 | + | 0.0298075i | ||||
\(919\) | −9.79121 | − | 3.18136i | −0.322982 | − | 0.104943i | 0.143038 | − | 0.989717i | \(-0.454313\pi\) |
−0.466021 | + | 0.884774i | \(0.654313\pi\) | |||||||
\(920\) | 0.811172 | + | 3.07938i | 0.0267435 | + | 0.101524i | ||||
\(921\) | 43.0654 | − | 18.4374i | 1.41905 | − | 0.607531i | ||||
\(922\) | −1.37107 | + | 2.69087i | −0.0451537 | + | 0.0886191i | ||||
\(923\) | 1.26082 | − | 0.642421i | 0.0415005 | − | 0.0211456i | ||||
\(924\) | −1.15399 | − | 12.7369i | −0.0379635 | − | 0.419015i | ||||
\(925\) | −0.546240 | − | 12.4348i | −0.0179603 | − | 0.408852i | ||||
\(926\) | 11.3184 | + | 3.67757i | 0.371946 | + | 0.120853i | ||||
\(927\) | −7.61408 | − | 21.6770i | −0.250079 | − | 0.711965i | ||||
\(928\) | 0.267050 | − | 1.68609i | 0.00876636 | − | 0.0553486i | ||||
\(929\) | −53.1341 | −1.74327 | −0.871636 | − | 0.490153i | \(-0.836941\pi\) | ||||
−0.871636 | + | 0.490153i | \(0.836941\pi\) | |||||||
\(930\) | −20.8718 | + | 5.41923i | −0.684413 | + | 0.177703i | ||||
\(931\) | −0.240074 | −0.00786812 | ||||||||
\(932\) | −1.54513 | + | 9.75557i | −0.0506124 | + | 0.319554i | ||||
\(933\) | 10.0601 | − | 2.54130i | 0.329353 | − | 0.0831984i | ||||
\(934\) | −32.8522 | − | 10.6743i | −1.07496 | − | 0.349274i | ||||
\(935\) | 3.81822 | + | 8.67442i | 0.124869 | + | 0.283684i | ||||
\(936\) | −0.500921 | − | 2.74172i | −0.0163731 | − | 0.0896158i | ||||
\(937\) | 19.4996 | − | 9.93552i | 0.637023 | − | 0.324579i | −0.105481 | − | 0.994421i | \(-0.533638\pi\) |
0.742504 | + | 0.669842i | \(0.233638\pi\) | |||||||
\(938\) | −14.5980 | + | 28.6503i | −0.476643 | + | 0.935464i | ||||
\(939\) | −15.6648 | − | 36.5893i | −0.511201 | − | 1.19405i | ||||
\(940\) | −17.0665 | − | 9.94984i | −0.556648 | − | 0.324528i | ||||
\(941\) | 19.0423 | + | 6.18723i | 0.620762 | + | 0.201698i | 0.602479 | − | 0.798135i | \(-0.294180\pi\) |
0.0182836 | + | 0.999833i | \(0.494180\pi\) | |||||||
\(942\) | −17.5821 | − | 1.17490i | −0.572855 | − | 0.0382803i | ||||
\(943\) | −0.639095 | + | 0.101223i | −0.0208118 | + | 0.00329626i | ||||
\(944\) | 3.11871 | + | 9.59841i | 0.101505 | + | 0.312402i | ||||
\(945\) | −23.0899 | − | 20.5807i | −0.751115 | − | 0.669489i | ||||
\(946\) | 19.6034 | + | 14.2427i | 0.637362 | + | 0.463071i | ||||
\(947\) | 43.0616 | + | 21.9410i | 1.39931 | + | 0.712986i | 0.980762 | − | 0.195207i | \(-0.0625380\pi\) |
0.418551 | + | 0.908193i | \(0.362538\pi\) | |||||||
\(948\) | −4.05136 | − | 16.0379i | −0.131582 | − | 0.520887i | ||||
\(949\) | −1.25315 | − | 1.72481i | −0.0406790 | − | 0.0559898i | ||||
\(950\) | −13.3390 | − | 3.69538i | −0.432773 | − | 0.119894i | ||||
\(951\) | 3.84805 | − | 3.36598i | 0.124781 | − | 0.109149i | ||||
\(952\) | −1.84682 | + | 3.62459i | −0.0598558 | + | 0.117474i | ||||
\(953\) | 6.60332 | − | 12.9597i | 0.213902 | − | 0.419807i | −0.758978 | − | 0.651116i | \(-0.774301\pi\) |
0.972880 | + | 0.231309i | \(0.0743010\pi\) | |||||||
\(954\) | −4.90721 | − | 0.658778i | −0.158877 | − | 0.0213287i | ||||
\(955\) | 3.61374 | − | 9.29640i | 0.116938 | − | 0.300824i | ||||
\(956\) | 6.63586i | 0.214619i | ||||||||
\(957\) | 4.36744 | + | 6.94157i | 0.141179 | + | 0.224389i | ||||
\(958\) | −1.01665 | + | 0.161021i | −0.0328463 | + | 0.00520234i | ||||
\(959\) | −35.6701 | + | 25.9158i | −1.15185 | + | 0.836866i | ||||
\(960\) | 3.38953 | − | 1.87379i | 0.109397 | − | 0.0604764i | ||||
\(961\) | 14.9150 | − | 27.1762i | 0.481128 | − | 0.876651i | ||||
\(962\) | −1.63532 | + | 1.63532i | −0.0527248 | + | 0.0527248i | ||||
\(963\) | 14.5758 | − | 0.344497i | 0.469698 | − | 0.0111013i | ||||
\(964\) | 1.14796 | − | 1.58003i | 0.0369732 | − | 0.0508892i | ||||
\(965\) | 2.50078 | + | 24.8021i | 0.0805030 | + | 0.798407i | ||||
\(966\) | −0.592503 | − | 6.53964i | −0.0190635 | − | 0.210410i | ||||
\(967\) | −0.465191 | − | 0.465191i | −0.0149595 | − | 0.0149595i | 0.699587 | − | 0.714547i | \(-0.253367\pi\) |
−0.714547 | + | 0.699587i | \(0.753367\pi\) | |||||||
\(968\) | 2.94627 | − | 1.50120i | 0.0946968 | − | 0.0482504i | ||||
\(969\) | 6.73565 | − | 2.88370i | 0.216380 | − | 0.0926377i | ||||
\(970\) | −1.39024 | + | 24.5409i | −0.0446380 | + | 0.787960i | ||||
\(971\) | −2.74642 | − | 3.78013i | −0.0881369 | − | 0.121310i | 0.762672 | − | 0.646786i | \(-0.223887\pi\) |
−0.850808 | + | 0.525476i | \(0.823887\pi\) | |||||||
\(972\) | −12.4306 | − | 9.40638i | −0.398712 | − | 0.301710i | ||||
\(973\) | 5.90157 | − | 37.2610i | 0.189195 | − | 1.19453i | ||||
\(974\) | 11.0169 | + | 8.00423i | 0.353003 | + | 0.256472i | ||||
\(975\) | −2.66023 | + | 7.59315i | −0.0851957 | + | 0.243175i | ||||
\(976\) | −1.13974 | − | 0.828072i | −0.0364823 | − | 0.0265059i | ||||
\(977\) | 11.3182 | − | 1.79263i | 0.362101 | − | 0.0573512i | 0.0272667 | − | 0.999628i | \(-0.491320\pi\) |
0.334834 | + | 0.942277i | \(0.391320\pi\) | |||||||
\(978\) | −40.9202 | − | 16.3860i | −1.30848 | − | 0.523967i | ||||
\(979\) | 13.7358 | − | 18.9057i | 0.438998 | − | 0.604229i | ||||
\(980\) | −0.187523 | + | 0.0493974i | −0.00599019 | + | 0.00157794i | ||||
\(981\) | −3.15333 | + | 23.4890i | −0.100678 | + | 0.749946i | ||||
\(982\) | 20.8954 | + | 3.30950i | 0.666798 | + | 0.105610i | ||||
\(983\) | 17.3200 | − | 33.9924i | 0.552422 | − | 1.08419i | −0.430915 | − | 0.902393i | \(-0.641809\pi\) |
0.983336 | − | 0.181796i | \(-0.0581910\pi\) | |||||||
\(984\) | 0.309731 | + | 0.723460i | 0.00987386 | + | 0.0230630i | ||||
\(985\) | 5.18740 | + | 51.4472i | 0.165284 | + | 1.63924i | ||||
\(986\) | − | 2.60865i | − | 0.0830764i | ||||||
\(987\) | 31.2863 | + | 26.0881i | 0.995854 | + | 0.830393i | ||||
\(988\) | 1.16758 | + | 2.29151i | 0.0371457 | + | 0.0729026i | ||||
\(989\) | 10.0652 | + | 7.31277i | 0.320054 | + | 0.232533i | ||||
\(990\) | −6.32971 | + | 17.4967i | −0.201172 | + | 0.556081i | ||||
\(991\) | −40.0672 | −1.27278 | −0.636388 | − | 0.771369i | \(-0.719572\pi\) | ||||
−0.636388 | + | 0.771369i | \(0.719572\pi\) | |||||||
\(992\) | −1.38272 | + | 5.39334i | −0.0439014 | + | 0.171239i | ||||
\(993\) | 30.5699 | + | 25.4907i | 0.970106 | + | 0.808923i | ||||
\(994\) | −2.38332 | − | 3.28037i | −0.0755945 | − | 0.104047i | ||||
\(995\) | 33.4171 | − | 21.5009i | 1.05939 | − | 0.681625i | ||||
\(996\) | 2.42610 | − | 10.6587i | 0.0768738 | − | 0.337733i | ||||
\(997\) | −11.5462 | − | 11.5462i | −0.365673 | − | 0.365673i | 0.500223 | − | 0.865897i | \(-0.333251\pi\) |
−0.865897 | + | 0.500223i | \(0.833251\pi\) | |||||||
\(998\) | −18.1866 | − | 18.1866i | −0.575687 | − | 0.575687i | ||||
\(999\) | −0.557251 | + | 12.9230i | −0.0176306 | + | 0.408867i |
(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 | 930.2.bk.a.47.51 | yes | 512 | |
3.2 | odd | 2 | inner | 930.2.bk.a.47.16 | ✓ | 512 | |
5.3 | odd | 4 | inner | 930.2.bk.a.233.3 | yes | 512 | |
15.8 | even | 4 | inner | 930.2.bk.a.233.64 | yes | 512 | |
31.2 | even | 5 | inner | 930.2.bk.a.467.64 | yes | 512 | |
93.2 | odd | 10 | inner | 930.2.bk.a.467.3 | yes | 512 | |
155.33 | odd | 20 | inner | 930.2.bk.a.653.16 | yes | 512 | |
465.188 | even | 20 | inner | 930.2.bk.a.653.51 | yes | 512 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
930.2.bk.a.47.16 | ✓ | 512 | 3.2 | odd | 2 | inner | |
930.2.bk.a.47.51 | yes | 512 | 1.1 | even | 1 | trivial | |
930.2.bk.a.233.3 | yes | 512 | 5.3 | odd | 4 | inner | |
930.2.bk.a.233.64 | yes | 512 | 15.8 | even | 4 | inner | |
930.2.bk.a.467.3 | yes | 512 | 93.2 | odd | 10 | inner | |
930.2.bk.a.467.64 | yes | 512 | 31.2 | even | 5 | inner | |
930.2.bk.a.653.16 | yes | 512 | 155.33 | odd | 20 | inner | |
930.2.bk.a.653.51 | yes | 512 | 465.188 | even | 20 | inner |