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 | 47.16 | ||
Character | \(\chi\) | \(=\) | 930.47 |
Dual form | 930.2.bk.a.653.16 |
$q$-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 | ||||
\(3\) | −0.115485 | − | 1.72820i | −0.0666751 | − | 0.997775i | ||||
\(4\) | −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 | ||||
\(9\) | −2.97333 | + | 0.399160i | −0.991109 | + | 0.133053i | ||||
\(10\) | 1.12621 | − | 1.93175i | 0.356140 | − | 0.610872i | ||||
\(11\) | −2.63793 | − | 0.857115i | −0.795366 | − | 0.258430i | −0.116978 | − | 0.993134i | \(-0.537321\pi\) |
−0.678387 | + | 0.734704i | \(0.737321\pi\) | |||||||
\(12\) | −0.424210 | + | 1.67930i | −0.122459 | + | 0.484772i | ||||
\(13\) | 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 | ||||
\(15\) | −1.15943 | + | 3.69537i | −0.299362 | + | 0.954139i | ||||
\(16\) | 0.809017 | + | 0.587785i | 0.202254 | + | 0.146946i | ||||
\(17\) | −1.36156 | − | 0.693749i | −0.330226 | − | 0.168259i | 0.281014 | − | 0.959704i | \(-0.409329\pi\) |
−0.611241 | + | 0.791445i | \(0.709329\pi\) | |||||||
\(18\) | 0.0708850 | − | 2.99916i | 0.0167077 | − | 0.706909i | ||||
\(19\) | −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 | ||||
\(21\) | −2.36256 | − | 3.95961i | −0.515552 | − | 0.864057i | ||||
\(22\) | 1.25923 | − | 2.47137i | 0.268468 | − | 0.526898i | ||||
\(23\) | −0.646536 | + | 1.26890i | −0.134812 | + | 0.264584i | −0.948537 | − | 0.316667i | \(-0.897436\pi\) |
0.813725 | + | 0.581250i | \(0.197436\pi\) | |||||||
\(24\) | −1.59226 | − | 0.681687i | −0.325019 | − | 0.139149i | ||||
\(25\) | 3.68729 | + | 3.37697i | 0.737458 | + | 0.675393i | ||||
\(26\) | 0.929034i | 0.182199i | ||||||||
\(27\) | 1.03320 | + | 5.09240i | 0.198840 | + | 0.980032i | ||||
\(28\) | −2.62932 | + | 0.416443i | −0.496894 | + | 0.0787003i | ||||
\(29\) | −1.38108 | + | 1.00341i | −0.256460 | + | 0.186329i | −0.708585 | − | 0.705626i | \(-0.750666\pi\) |
0.452125 | + | 0.891955i | \(0.350666\pi\) | |||||||
\(30\) | −3.46850 | − | 1.72323i | −0.633258 | − | 0.314618i | ||||
\(31\) | −4.79140 | + | 2.83593i | −0.860560 | + | 0.509349i | ||||
\(32\) | −0.707107 | + | 0.707107i | −0.125000 | + | 0.125000i | ||||
\(33\) | −1.17662 | + | 4.65785i | −0.204824 | + | 0.810827i | ||||
\(34\) | 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 | ||||
\(39\) | −0.357132 | − | 1.56900i | −0.0571869 | − | 0.251241i | ||||
\(40\) | −1.66804 | + | 1.48918i | −0.263740 | + | 0.235460i | ||||
\(41\) | 0.267066 | + | 0.367584i | 0.0417087 | + | 0.0574070i | 0.829362 | − | 0.558712i | \(-0.188704\pi\) |
−0.787653 | + | 0.616119i | \(0.788704\pi\) | |||||||
\(42\) | 4.28044 | − | 1.71405i | 0.660487 | − | 0.264484i | ||||
\(43\) | −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 | ||||
\(45\) | 6.52022 | + | 1.57696i | 0.971976 | + | 0.235079i | ||||
\(46\) | −1.15214 | − | 0.837075i | −0.169873 | − | 0.123420i | ||||
\(47\) | −8.72599 | + | 1.38206i | −1.27282 | + | 0.201594i | −0.756040 | − | 0.654526i | \(-0.772868\pi\) |
−0.516777 | + | 0.856120i | \(0.672868\pi\) | |||||||
\(48\) | 0.922379 | − | 1.46602i | 0.133134 | − | 0.211602i | ||||
\(49\) | 0.0509748 | − | 0.0701608i | 0.00728211 | − | 0.0100230i | ||||
\(50\) | −3.91221 | + | 3.11362i | −0.553270 | + | 0.440332i | ||||
\(51\) | −1.04169 | + | 2.43316i | −0.145866 | + | 0.340710i | ||||
\(52\) | −0.917596 | − | 0.145333i | −0.127248 | − | 0.0201540i | ||||
\(53\) | 0.749270 | − | 1.47053i | 0.102920 | − | 0.201992i | −0.833804 | − | 0.552061i | \(-0.813842\pi\) |
0.936724 | + | 0.350068i | \(0.113842\pi\) | |||||||
\(54\) | −5.19133 | + | 0.223854i | −0.706450 | + | 0.0304627i | ||||
\(55\) | 4.80342 | + | 3.92349i | 0.647693 | + | 0.529043i | ||||
\(56\) | − | 2.66209i | − | 0.355737i | ||||||
\(57\) | −3.68253 | + | 3.07067i | −0.487762 | + | 0.406721i | ||||
\(58\) | −0.775010 | − | 1.52104i | −0.101764 | − | 0.199723i | ||||
\(59\) | −8.16490 | − | 5.93215i | −1.06298 | − | 0.772300i | −0.0883419 | − | 0.996090i | \(-0.528157\pi\) |
−0.974637 | + | 0.223791i | \(0.928157\pi\) | |||||||
\(60\) | 2.24461 | − | 3.15622i | 0.289778 | − | 0.407466i | ||||
\(61\) | −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 | ||||
\(63\) | −6.57014 | + | 4.54024i | −0.827760 | + | 0.572016i | ||||
\(64\) | −0.587785 | − | 0.809017i | −0.0734732 | − | 0.101127i | ||||
\(65\) | −2.03014 | − | 0.440503i | −0.251808 | − | 0.0546377i | ||||
\(66\) | −4.41643 | − | 1.89078i | −0.543626 | − | 0.232740i | ||||
\(67\) | −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 | ||||
\(69\) | 2.26757 | + | 0.970803i | 0.272983 | + | 0.116871i | ||||
\(70\) | 0.336677 | − | 5.94309i | 0.0402406 | − | 0.710335i | ||||
\(71\) | −1.44860 | + | 0.470678i | −0.171917 | + | 0.0558592i | −0.393711 | − | 0.919234i | \(-0.628809\pi\) |
0.221794 | + | 0.975094i | \(0.428809\pi\) | |||||||
\(72\) | −0.994208 | + | 2.83047i | −0.117169 | + | 0.333574i | ||||
\(73\) | −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 | ||||
\(75\) | 5.41024 | − | 6.76235i | 0.624720 | − | 0.780849i | ||||
\(76\) | 0.855444 | + | 2.63279i | 0.0981261 | + | 0.302001i | ||||
\(77\) | −7.29289 | + | 1.15508i | −0.831102 | + | 0.131634i | ||||
\(78\) | 1.60555 | − | 0.107289i | 0.181793 | − | 0.0121481i | ||||
\(79\) | 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 | ||||
\(81\) | 8.68134 | − | 2.37367i | 0.964594 | − | 0.263741i | ||||
\(82\) | −0.404837 | + | 0.206275i | −0.0447068 | + | 0.0227792i | ||||
\(83\) | −6.23348 | − | 0.987287i | −0.684214 | − | 0.108369i | −0.195356 | − | 0.980732i | \(-0.562586\pi\) |
−0.488858 | + | 0.872364i | \(0.662586\pi\) | |||||||
\(84\) | 1.02334 | + | 4.49588i | 0.111656 | + | 0.490541i | ||||
\(85\) | 2.27563 | + | 2.54895i | 0.246827 | + | 0.276472i | ||||
\(86\) | −8.30852 | − | 2.69960i | −0.895931 | − | 0.291106i | ||||
\(87\) | 1.89359 | + | 2.27090i | 0.203014 | + | 0.243466i | ||||
\(88\) | −1.96129 | + | 1.96129i | −0.209074 | + | 0.209074i | ||||
\(89\) | −2.60352 | + | 8.01281i | −0.275972 | + | 0.849356i | 0.712988 | + | 0.701176i | \(0.247341\pi\) |
−0.988960 | + | 0.148180i | \(0.952659\pi\) | |||||||
\(90\) | −2.57753 | + | 6.19325i | −0.271695 | + | 0.652826i | ||||
\(91\) | 2.00084 | − | 1.45369i | 0.209745 | − | 0.152389i | ||||
\(92\) | 1.00700 | − | 1.00700i | 0.104987 | − | 0.104987i | ||||
\(93\) | 5.45438 | + | 7.95297i | 0.565593 | + | 0.824684i | ||||
\(94\) | − | 8.83476i | − | 0.911236i | ||||||
\(95\) | 1.57680 | + | 5.98585i | 0.161776 | + | 0.614136i | ||||
\(96\) | 1.30368 | + | 1.14036i | 0.133056 | + | 0.116387i | ||||
\(97\) | −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 | 0.158759 | − | 0.987317i | \(-0.449251\pi\) |
0.708769 | + | 0.705441i | \(0.249251\pi\) | |||||||
\(102\) | −2.24024 | − | 1.40950i | −0.221817 | − | 0.139561i | ||||
\(103\) | −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 | ||||
\(105\) | 1.71600 | + | 10.1664i | 0.167464 | + | 0.992142i | ||||
\(106\) | 1.33521 | + | 0.970087i | 0.129687 | + | 0.0942231i | ||||
\(107\) | 4.33025 | + | 2.20637i | 0.418621 | + | 0.213298i | 0.650596 | − | 0.759424i | \(-0.274519\pi\) |
−0.231976 | + | 0.972722i | \(0.574519\pi\) | |||||||
\(108\) | 0.591005 | − | 5.16243i | 0.0568695 | − | 0.496755i | ||||
\(109\) | 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 | ||||
\(111\) | −2.83875 | + | 3.24531i | −0.269443 | + | 0.308032i | ||||
\(112\) | 2.62932 | + | 0.416443i | 0.248447 | + | 0.0393501i | ||||
\(113\) | 4.42678 | − | 2.25556i | 0.416436 | − | 0.212185i | −0.233202 | − | 0.972428i | \(-0.574920\pi\) |
0.649638 | + | 0.760243i | \(0.274920\pi\) | |||||||
\(114\) | −2.45679 | − | 4.11755i | −0.230100 | − | 0.385644i | ||||
\(115\) | 2.37548 | − | 2.12077i | 0.221515 | − | 0.197763i | ||||
\(116\) | 1.62356 | − | 0.527525i | 0.150743 | − | 0.0489795i | ||||
\(117\) | −2.67030 | + | 0.798390i | −0.246869 | + | 0.0738112i | ||||
\(118\) | 7.13638 | − | 7.13638i | 0.656957 | − | 0.656957i | ||||
\(119\) | −4.06797 | −0.372910 | ||||||||
\(120\) | 2.76623 | + | 2.71072i | 0.252521 | + | 0.247453i | ||||
\(121\) | −2.67516 | − | 1.94362i | −0.243196 | − | 0.176692i | ||||
\(122\) | 0.220385 | − | 1.39146i | 0.0199527 | − | 0.125976i | ||||
\(123\) | 0.604416 | − | 0.503992i | 0.0544984 | − | 0.0454435i | ||||
\(124\) | 5.43324 | − | 1.21651i | 0.487919 | − | 0.109246i | ||||
\(125\) | −4.94895 | − | 10.0254i | −0.442648 | − | 0.896695i | ||||
\(126\) | −3.45654 | − | 7.19950i | −0.307933 | − | 0.641383i | ||||
\(127\) | −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 | 0.579187 | − | 0.815194i | \(-0.303370\pi\) |
−0.0105869 | + | 0.999944i | \(0.503370\pi\) | |||||||
\(132\) | 2.55839 | − | 4.06628i | 0.222679 | − | 0.353924i | ||||
\(133\) | −6.56618 | − | 3.34564i | −0.569360 | − | 0.290103i | ||||
\(134\) | 9.77198 | − | 7.09976i | 0.844171 | − | 0.613326i | ||||
\(135\) | 1.97231 | − | 11.4503i | 0.169749 | − | 0.985487i | ||||
\(136\) | −1.23627 | + | 0.898202i | −0.106009 | + | 0.0770202i | ||||
\(137\) | 16.3585 | − | 2.59093i | 1.39760 | − | 0.221358i | 0.588248 | − | 0.808681i | \(-0.299818\pi\) |
0.809353 | + | 0.587322i | \(0.199818\pi\) | |||||||
\(138\) | −1.31358 | + | 2.08779i | −0.111819 | + | 0.177724i | ||||
\(139\) | 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 | ||||
\(141\) | 3.39619 | + | 14.9206i | 0.286011 | + | 1.25654i | ||||
\(142\) | −0.238273 | − | 1.50439i | −0.0199954 | − | 0.126246i | ||||
\(143\) | −2.54512 | − | 0.403108i | −0.212834 | − | 0.0337095i | ||||
\(144\) | −2.64009 | − | 1.42475i | −0.220008 | − | 0.118729i | ||||
\(145\) | 3.69129 | − | 0.972361i | 0.306545 | − | 0.0807502i | ||||
\(146\) | 2.18253 | − | 0.709145i | 0.180627 | − | 0.0586893i | ||||
\(147\) | −0.127138 | − | 0.0799920i | −0.0104862 | − | 0.00659763i | ||||
\(148\) | 1.13014 | + | 2.21803i | 0.0928970 | + | 0.182321i | ||||
\(149\) | 12.9942 | 1.06452 | 0.532262 | − | 0.846580i | \(-0.321342\pi\) | ||||
0.532262 | + | 0.846580i | \(0.321342\pi\) | |||||||
\(150\) | 5.83274 | + | 6.40149i | 0.476242 | + | 0.522680i | ||||
\(151\) | 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 | ||||
\(153\) | 4.32527 | + | 1.51926i | 0.349678 | + | 0.122825i | ||||
\(154\) | − | 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 | ||||
\(159\) | −2.62789 | − | 1.12506i | −0.208405 | − | 0.0892233i | ||||
\(160\) | 2.04658 | − | 0.900842i | 0.161796 | − | 0.0712178i | ||||
\(161\) | 3.79113i | 0.298783i | ||||||||
\(162\) | 0.986382 | + | 8.94578i | 0.0774975 | + | 0.702847i | ||||
\(163\) | −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 | ||||
\(165\) | 6.22584 | − | 8.75436i | 0.484681 | − | 0.681526i | ||||
\(166\) | 1.95026 | − | 6.00229i | 0.151370 | − | 0.465868i | ||||
\(167\) | −2.38862 | + | 15.0812i | −0.184837 | + | 1.16702i | 0.704480 | + | 0.709724i | \(0.251180\pi\) |
−0.889317 | + | 0.457291i | \(0.848820\pi\) | |||||||
\(168\) | −4.60061 | + | 0.307430i | −0.354945 | + | 0.0237188i | ||||
\(169\) | −11.5429 | + | 3.75051i | −0.887913 | + | 0.288501i | ||||
\(170\) | −2.87355 | + | 1.84887i | −0.220391 | + | 0.141802i | ||||
\(171\) | 5.73200 | + | 6.00951i | 0.438337 | + | 0.459559i | ||||
\(172\) | 3.96610 | − | 7.78392i | 0.302413 | − | 0.593518i | ||||
\(173\) | −0.379437 | − | 2.39567i | −0.0288480 | − | 0.182139i | 0.969057 | − | 0.246838i | \(-0.0793915\pi\) |
−0.997905 | + | 0.0646984i | \(0.979391\pi\) | |||||||
\(174\) | −2.53916 | + | 1.51503i | −0.192493 | + | 0.114854i | ||||
\(175\) | 12.8273 | + | 3.55364i | 0.969653 | + | 0.268630i | ||||
\(176\) | −1.63033 | − | 2.24396i | −0.122891 | − | 0.169145i | ||||
\(177\) | −9.30899 | + | 14.7956i | −0.699707 | + | 1.11211i | ||||
\(178\) | −7.50687 | − | 3.82494i | −0.562664 | − | 0.286692i | ||||
\(179\) | 0.534401 | − | 1.64472i | 0.0399430 | − | 0.122932i | −0.929097 | − | 0.369837i | \(-0.879414\pi\) |
0.969040 | + | 0.246905i | \(0.0794135\pi\) | |||||||
\(180\) | −5.71379 | − | 3.51463i | −0.425880 | − | 0.261965i | ||||
\(181\) | −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 | ||||
\(183\) | 0.162695 | + | 2.43468i | 0.0120267 | + | 0.179977i | ||||
\(184\) | 0.837075 | + | 1.15214i | 0.0617100 | + | 0.0849365i | ||||
\(185\) | 2.24251 | + | 5.09465i | 0.164873 | + | 0.374566i | ||||
\(186\) | −8.70831 | + | 4.14311i | −0.638524 | + | 0.303788i | ||||
\(187\) | 2.99707 | + | 2.99707i | 0.219168 | + | 0.219168i | ||||
\(188\) | 8.72599 | + | 1.38206i | 0.636408 | + | 0.100797i | ||||
\(189\) | 8.60517 | + | 10.8302i | 0.625934 | + | 0.787779i | ||||
\(190\) | −6.15882 | + | 0.620992i | −0.446808 | + | 0.0450515i | ||||
\(191\) | 4.46054i | 0.322753i | 0.986893 | + | 0.161377i | \(0.0515934\pi\) | ||||
−0.986893 | + | 0.161377i | \(0.948407\pi\) | |||||||
\(192\) | −1.33026 | + | 1.10924i | −0.0960033 | + | 0.0800523i | ||||
\(193\) | 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 | ||||
\(195\) | −0.526826 | + | 3.55936i | −0.0377268 | + | 0.254891i | ||||
\(196\) | −0.0701608 | + | 0.0509748i | −0.00501148 | + | 0.00364106i | ||||
\(197\) | −10.4983 | − | 20.6041i | −0.747975 | − | 1.46798i | −0.879110 | − | 0.476618i | \(-0.841862\pi\) |
0.131136 | − | 0.991364i | \(-0.458138\pi\) | |||||||
\(198\) | −2.75762 | + | 7.85082i | −0.195975 | + | 0.557934i | ||||
\(199\) | 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 | ||||
\(201\) | −13.7742 | + | 15.7469i | −0.971558 | + | 1.11070i | ||||
\(202\) | 1.43407 | + | 9.05436i | 0.100901 | + | 0.637062i | ||||
\(203\) | −2.06315 | + | 4.04916i | −0.144805 | + | 0.284195i | ||||
\(204\) | 1.74260 | − | 1.99217i | 0.122006 | − | 0.139480i | ||||
\(205\) | −0.258801 | − | 0.982463i | −0.0180755 | − | 0.0686182i | ||||
\(206\) | −7.28361 | − | 2.36659i | −0.507473 | − | 0.164888i | ||||
\(207\) | 1.41587 | − | 4.03092i | 0.0984097 | − | 0.280168i | ||||
\(208\) | 0.827775 | + | 0.421773i | 0.0573959 | + | 0.0292447i | ||||
\(209\) | 2.37273 | + | 7.30251i | 0.164125 | + | 0.505126i | ||||
\(210\) | −10.3097 | + | 0.104491i | −0.711437 | + | 0.00721058i | ||||
\(211\) | 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 | ||||
\(213\) | 0.980715 | + | 2.44911i | 0.0671975 | + | 0.167810i | ||||
\(214\) | −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 | ||||
\(219\) | −3.41336 | + | 2.03663i | −0.230654 | + | 0.137623i | ||||
\(220\) | −3.35590 | − | 5.21580i | −0.226255 | − | 0.351649i | ||||
\(221\) | −1.35018 | − | 0.438702i | −0.0908232 | − | 0.0295103i | ||||
\(222\) | −2.76128 | − | 3.31148i | −0.185325 | − | 0.222252i | ||||
\(223\) | −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 | ||||
\(225\) | −12.3115 | − | 8.56901i | −0.820764 | − | 0.571267i | ||||
\(226\) | 1.53529 | + | 4.72512i | 0.102126 | + | 0.314311i | ||||
\(227\) | 3.10031 | − | 19.5746i | 0.205775 | − | 1.29921i | −0.641115 | − | 0.767445i | \(-0.721528\pi\) |
0.846890 | − | 0.531768i | \(-0.178472\pi\) | |||||||
\(228\) | 4.45118 | − | 1.78242i | 0.294787 | − | 0.118044i | ||||
\(229\) | 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 | ||||
\(231\) | 2.83842 | + | 12.4702i | 0.186754 | + | 0.820476i | ||||
\(232\) | 0.267050 | + | 1.68609i | 0.0175327 | + | 0.110697i | ||||
\(233\) | 1.54513 | + | 9.75557i | 0.101225 | + | 0.639109i | 0.985178 | + | 0.171534i | \(0.0548722\pi\) |
−0.883953 | + | 0.467575i | \(0.845128\pi\) | |||||||
\(234\) | −0.370833 | − | 2.76232i | −0.0242421 | − | 0.180579i | ||||
\(235\) | 19.3059 | + | 4.18902i | 1.25938 | + | 0.273262i | ||||
\(236\) | 5.93215 | + | 8.16490i | 0.386150 | + | 0.531490i | ||||
\(237\) | −6.14924 | − | 15.3563i | −0.399436 | − | 0.997497i | ||||
\(238\) | 0.636371 | − | 4.01789i | 0.0412498 | − | 0.260441i | ||||
\(239\) | 2.05059 | + | 6.31108i | 0.132642 | + | 0.408230i | 0.995216 | − | 0.0977015i | \(-0.0311490\pi\) |
−0.862574 | + | 0.505931i | \(0.831149\pi\) | |||||||
\(240\) | −3.11008 | + | 2.30812i | −0.200755 | + | 0.148989i | ||||
\(241\) | −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 | ||||
\(243\) | −5.10472 | − | 14.7289i | −0.327468 | − | 0.944862i | ||||
\(244\) | 1.33985 | + | 0.435343i | 0.0857750 | + | 0.0278700i | ||||
\(245\) | −0.163080 | + | 0.104927i | −0.0104188 | + | 0.00670356i | ||||
\(246\) | 0.403236 | + | 0.675816i | 0.0257094 | + | 0.0430885i | ||||
\(247\) | −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 | −0.724587 | − | 0.689183i | \(-0.757970\pi\) |
0.879362 | + | 0.476154i | \(0.157970\pi\) | |||||||
\(252\) | 7.65159 | − | 2.28774i | 0.482005 | − | 0.144114i | ||||
\(253\) | 2.79311 | − | 2.79311i | 0.175601 | − | 0.175601i | ||||
\(254\) | 9.35822 | 0.587187 | ||||||||
\(255\) | 4.14228 | − | 4.22711i | 0.259400 | − | 0.264712i | ||||
\(256\) | 0.309017 | + | 0.951057i | 0.0193136 | + | 0.0594410i | ||||
\(257\) | 17.7186 | + | 9.02806i | 1.10525 | + | 0.563155i | 0.908747 | − | 0.417348i | \(-0.137040\pi\) |
0.196507 | + | 0.980502i | \(0.437040\pi\) | |||||||
\(258\) | −3.70594 | + | 14.6705i | −0.230722 | + | 0.913346i | ||||
\(259\) | −6.30253 | − | 2.04782i | −0.391620 | − | 0.127245i | ||||
\(260\) | 1.79466 | + | 1.04629i | 0.111300 | + | 0.0648883i | ||||
\(261\) | 3.70588 | − | 3.53474i | 0.229388 | − | 0.218795i | ||||
\(262\) | −3.10658 | + | 6.09702i | −0.191925 | + | 0.376675i | ||||
\(263\) | −3.88831 | − | 24.5498i | −0.239763 | − | 1.51381i | −0.754410 | − | 0.656403i | \(-0.772077\pi\) |
0.514647 | − | 0.857402i | \(-0.327923\pi\) | |||||||
\(264\) | 3.61599 | + | 3.16300i | 0.222549 | + | 0.194669i | ||||
\(265\) | −2.75294 | + | 2.45776i | −0.169112 | + | 0.150979i | ||||
\(266\) | 4.33162 | − | 5.96197i | 0.265589 | − | 0.365552i | ||||
\(267\) | 14.1484 | + | 3.57404i | 0.865866 | + | 0.218727i | ||||
\(268\) | 5.48368 | + | 10.7623i | 0.334969 | + | 0.657413i | ||||
\(269\) | −20.6230 | + | 14.9835i | −1.25741 | + | 0.913560i | −0.998627 | − | 0.0523765i | \(-0.983320\pi\) |
−0.258780 | + | 0.965936i | \(0.583320\pi\) | |||||||
\(270\) | 11.0008 | + | 3.73925i | 0.669488 | + | 0.227564i | ||||
\(271\) | −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 | ||||
\(273\) | −2.74333 | − | 3.28996i | −0.166034 | − | 0.199118i | ||||
\(274\) | 16.5624i | 1.00057i | ||||||||
\(275\) | −6.83236 | − | 12.0686i | −0.412007 | − | 0.727766i | ||||
\(276\) | −1.85659 | − | 1.62401i | −0.111754 | − | 0.0977537i | ||||
\(277\) | 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 | ||||
\(279\) | 13.1144 | − | 10.3447i | 0.785138 | − | 0.619321i | ||||
\(280\) | −2.15671 | + | 5.54817i | −0.128888 | + | 0.331567i | ||||
\(281\) | 12.2443 | + | 16.8529i | 0.730437 | + | 1.00536i | 0.999112 | + | 0.0421289i | \(0.0134140\pi\) |
−0.268676 | + | 0.963231i | \(0.586586\pi\) | |||||||
\(282\) | −15.2682 | + | 1.02028i | −0.909208 | + | 0.0607567i | ||||
\(283\) | 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 | ||||||||
\(285\) | 10.1626 | − | 3.41629i | 0.601982 | − | 0.202364i | ||||
\(286\) | 0.796289 | − | 2.45073i | 0.0470856 | − | 0.144914i | ||||
\(287\) | 1.07771 | + | 0.549122i | 0.0636154 | + | 0.0324137i | ||||
\(288\) | 1.82021 | − | 2.38471i | 0.107257 | − | 0.140520i | ||||
\(289\) | −8.61980 | − | 11.8641i | −0.507047 | − | 0.697890i | ||||
\(290\) | 0.382946 | + | 3.79795i | 0.0224874 | + | 0.223023i | ||||
\(291\) | 9.75574 | + | 16.3505i | 0.571892 | + | 0.958481i | ||||
\(292\) | 0.358992 | + | 2.26659i | 0.0210084 | + | 0.132642i | ||||
\(293\) | −4.40529 | + | 8.64587i | −0.257360 | + | 0.505097i | −0.983146 | − | 0.182823i | \(-0.941476\pi\) |
0.725786 | + | 0.687921i | \(0.241476\pi\) | |||||||
\(294\) | 0.0988960 | − | 0.113060i | 0.00576773 | − | 0.00659377i | ||||
\(295\) | 12.2108 | + | 18.9783i | 0.710942 | + | 1.10496i | ||||
\(296\) | −2.36751 | + | 0.769251i | −0.137609 | + | 0.0447118i | ||||
\(297\) | 1.63926 | − | 14.3190i | 0.0951195 | − | 0.830870i | ||||
\(298\) | −2.03274 | + | 12.8342i | −0.117753 | + | 0.743464i | ||||
\(299\) | −0.408846 | + | 1.25830i | −0.0236442 | + | 0.0727693i | ||||
\(300\) | −7.23512 | + | 4.75952i | −0.417720 | + | 0.274791i | ||||
\(301\) | 7.18658 | + | 22.1180i | 0.414228 | + | 1.27486i | ||||
\(302\) | 19.5728 | + | 9.97284i | 1.12629 | + | 0.573872i | ||||
\(303\) | −5.90254 | − | 14.7402i | −0.339092 | − | 0.846803i | ||||
\(304\) | − | 2.76827i | − | 0.158771i | ||||||
\(305\) | 2.93614 | + | 1.14135i | 0.168123 | + | 0.0653535i | ||||
\(306\) | −2.17718 | + | 4.03436i | −0.124461 | + | 0.230629i | ||||
\(307\) | −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 | \(0.0543282\pi\) | ||||
−0.985470 | + | 0.169850i | \(0.945672\pi\) | |||||||
\(312\) | −1.56013 | − | 0.394105i | −0.0883247 | − | 0.0223118i | ||||
\(313\) | −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 | ||||
\(315\) | 17.3714 | − | 4.13965i | 0.978768 | − | 0.233243i | ||||
\(316\) | −9.55036 | −0.537250 | ||||||||
\(317\) | 1.34004 | + | 2.62997i | 0.0752639 | + | 0.147714i | 0.925572 | − | 0.378571i | \(-0.123585\pi\) |
−0.850308 | + | 0.526285i | \(0.823585\pi\) | |||||||
\(318\) | 1.52230 | − | 2.41953i | 0.0853666 | − | 0.135681i | ||||
\(319\) | 4.50323 | − | 1.46319i | 0.252132 | − | 0.0819228i | ||||
\(320\) | 0.569596 | + | 2.16230i | 0.0318414 | + | 0.120876i | ||||
\(321\) | 3.31297 | − | 7.73832i | 0.184912 | − | 0.431911i | ||||
\(322\) | −3.74445 | − | 0.593063i | −0.208670 | − | 0.0330501i | ||||
\(323\) | 0.661755 | + | 4.17815i | 0.0368210 | + | 0.232479i | ||||
\(324\) | −8.98995 | − | 0.425191i | −0.499442 | − | 0.0236217i | ||||
\(325\) | 3.87422 | + | 2.56281i | 0.214903 | + | 0.142159i | ||||
\(326\) | 14.9586 | − | 20.5887i | 0.828479 | − | 1.14030i | ||||
\(327\) | −11.5814 | − | 7.28671i | −0.640454 | − | 0.402956i | ||||
\(328\) | 0.448765 | − | 0.0710775i | 0.0247789 | − | 0.00392460i | ||||
\(329\) | −19.0272 | + | 13.8241i | −1.04900 | + | 0.762146i | ||||
\(330\) | 7.67264 | + | 7.51867i | 0.422365 | + | 0.413889i | ||||
\(331\) | 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 | ||||
\(333\) | 5.93637 | + | 4.53114i | 0.325311 | + | 0.248305i | ||||
\(334\) | −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 | ||||
\(339\) | −4.40927 | − | 7.38986i | −0.239479 | − | 0.401362i | ||||
\(340\) | −1.37659 | − | 3.12740i | −0.0746560 | − | 0.169607i | ||||
\(341\) | 15.0701 | − | 3.37422i | 0.816091 | − | 0.182724i | ||||
\(342\) | −6.83221 | + | 4.72134i | −0.369444 | + | 0.255301i | ||||
\(343\) | −2.87898 | + | 18.1772i | −0.155450 | + | 0.981476i | ||||
\(344\) | 7.06765 | + | 5.13495i | 0.381062 | + | 0.276858i | ||||
\(345\) | −3.93943 | − | 3.86038i | −0.212092 | − | 0.207836i | ||||
\(346\) | 2.42553 | 0.130397 | ||||||||
\(347\) | 17.6941 | − | 17.6941i | 0.949872 | − | 0.949872i | −0.0489307 | − | 0.998802i | \(-0.515581\pi\) |
0.998802 | + | 0.0489307i | \(0.0155813\pi\) | |||||||
\(348\) | −1.09916 | − | 2.74490i | −0.0589213 | − | 0.147142i | ||||
\(349\) | −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 | ||||
\(351\) | 1.68815 | + | 4.52260i | 0.0901070 | + | 0.241399i | ||||
\(352\) | 2.47137 | − | 1.25923i | 0.131724 | − | 0.0671170i | ||||
\(353\) | −5.60708 | − | 0.888075i | −0.298435 | − | 0.0472675i | 0.00542143 | − | 0.999985i | \(-0.498274\pi\) |
−0.303856 | + | 0.952718i | \(0.598274\pi\) | |||||||
\(354\) | −13.1572 | − | 11.5089i | −0.699298 | − | 0.611693i | ||||
\(355\) | 3.40041 | + | 0.192634i | 0.180475 | + | 0.0102239i | ||||
\(356\) | 4.95219 | − | 6.81610i | 0.262465 | − | 0.361253i | ||||
\(357\) | 0.469788 | + | 7.03026i | 0.0248638 | + | 0.372081i | ||||
\(358\) | 1.54087 | + | 0.785113i | 0.0814375 | + | 0.0414945i | ||||
\(359\) | −25.5492 | − | 18.5626i | −1.34843 | − | 0.979695i | −0.999088 | − | 0.0427009i | \(-0.986404\pi\) |
−0.349346 | − | 0.936994i | \(-0.613596\pi\) | |||||||
\(360\) | 4.36520 | − | 5.09363i | 0.230066 | − | 0.268458i | ||||
\(361\) | 3.50322 | − | 10.7818i | 0.184380 | − | 0.567463i | ||||
\(362\) | 1.76497 | − | 11.1436i | 0.0927649 | − | 0.585695i | ||||
\(363\) | −3.05001 | + | 4.84766i | −0.160084 | + | 0.254436i | ||||
\(364\) | −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 | ||||
\(369\) | −0.940799 | − | 0.986346i | −0.0489760 | − | 0.0513471i | ||||
\(370\) | −5.38273 | + | 1.41792i | −0.279835 | + | 0.0737143i | ||||
\(371\) | − | 4.39354i | − | 0.228101i | ||||||
\(372\) | −2.72983 | − | 9.24922i | −0.141535 | − | 0.479550i | ||||
\(373\) | −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 | ||||
\(375\) | −16.7543 | + | 9.71054i | −0.865187 | + | 0.501450i | ||||
\(376\) | −2.73009 | + | 8.40236i | −0.140794 | + | 0.433319i | ||||
\(377\) | −1.12144 | + | 1.12144i | −0.0577573 | + | 0.0577573i | ||||
\(378\) | −12.0430 | + | 6.80502i | −0.619424 | + | 0.350012i | ||||
\(379\) | 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 | ||||
\(381\) | −15.8047 | + | 3.59741i | −0.809697 | + | 0.184301i | ||||
\(382\) | −4.40562 | − | 0.697782i | −0.225411 | − | 0.0357016i | ||||
\(383\) | −20.0815 | + | 10.2320i | −1.02611 | + | 0.522831i | −0.884230 | − | 0.467052i | \(-0.845316\pi\) |
−0.141884 | + | 0.989883i | \(0.545316\pi\) | |||||||
\(384\) | −0.887482 | − | 1.48741i | −0.0452891 | − | 0.0759038i | ||||
\(385\) | 16.1352 | + | 3.50104i | 0.822326 | + | 0.178430i | ||||
\(386\) | −10.6024 | + | 3.44494i | −0.539650 | + | 0.175343i | ||||
\(387\) | 0.619258 | − | 26.2010i | 0.0314786 | − | 1.33187i | ||||
\(388\) | 10.8573 | − | 1.71962i | 0.551194 | − | 0.0873006i | ||||
\(389\) | −3.70906 | − | 11.4153i | −0.188057 | − | 0.578779i | 0.811931 | − | 0.583754i | \(-0.198417\pi\) |
−0.999988 | + | 0.00497425i | \(0.998417\pi\) | |||||||
\(390\) | −3.43312 | − | 1.07715i | −0.173843 | − | 0.0545434i | ||||
\(391\) | 1.76059 | − | 1.27915i | 0.0890370 | − | 0.0646892i | ||||
\(392\) | −0.0393716 | − | 0.0772712i | −0.00198857 | − | 0.00390279i | ||||
\(393\) | 2.90280 | − | 11.4912i | 0.146427 | − | 0.579653i | ||||
\(394\) | 21.9927 | − | 7.14588i | 1.10798 | − | 0.360004i | ||||
\(395\) | −21.3211 | − | 1.20784i | −1.07278 | − | 0.0607732i | ||||
\(396\) | −7.32278 | − | 3.95181i | −0.367984 | − | 0.198586i | ||||
\(397\) | 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 | ||||
\(399\) | −5.02362 | + | 11.7340i | −0.251496 | + | 0.587436i | ||||
\(400\) | 0.998148 | + | 4.89936i | 0.0499074 | + | 0.244968i | ||||
\(401\) | 7.86252 | + | 10.8218i | 0.392636 | + | 0.540417i | 0.958877 | − | 0.283823i | \(-0.0916028\pi\) |
−0.566241 | + | 0.824240i | \(0.691603\pi\) | |||||||
\(402\) | −13.3983 | − | 16.0680i | −0.668246 | − | 0.801399i | ||||
\(403\) | −3.98441 | + | 3.29859i | −0.198478 | + | 0.164314i | ||||
\(404\) | −9.16722 | −0.456086 | ||||||||
\(405\) | −20.0162 | − | 2.08620i | −0.994612 | − | 0.103664i | ||||
\(406\) | −3.67656 | − | 2.67117i | −0.182464 | − | 0.132568i | ||||
\(407\) | 3.13465 | + | 6.15210i | 0.155379 | + | 0.304949i | ||||
\(408\) | 1.69504 | + | 2.03279i | 0.0839170 | + | 0.100638i | ||||
\(409\) | − | 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 | ||||
\(411\) | −6.36680 | − | 27.9715i | −0.314051 | − | 1.37973i | ||||
\(412\) | 3.47686 | − | 6.82372i | 0.171292 | − | 0.336180i | ||||
\(413\) | −26.5360 | − | 4.20289i | −1.30575 | − | 0.206811i | ||||
\(414\) | 3.75980 | + | 2.02901i | 0.184784 | + | 0.0997205i | ||||
\(415\) | 12.1916 | + | 7.10775i | 0.598462 | + | 0.348906i | ||||
\(416\) | −0.546072 | + | 0.751604i | −0.0267734 | + | 0.0368504i | ||||
\(417\) | −20.7755 | − | 13.0714i | −1.01738 | − | 0.640109i | ||||
\(418\) | −7.58379 | + | 1.20115i | −0.370935 | + | 0.0587503i | ||||
\(419\) | −27.8897 | − | 20.2631i | −1.36250 | − | 0.989916i | −0.998281 | − | 0.0586039i | \(-0.981335\pi\) |
−0.364222 | − | 0.931312i | \(-0.618665\pi\) | |||||||
\(420\) | 1.50959 | − | 10.1991i | 0.0736603 | − | 0.497666i | ||||
\(421\) | 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 | ||||
\(423\) | 25.3936 | − | 7.59239i | 1.23468 | − | 0.369155i | ||||
\(424\) | −0.970087 | − | 1.33521i | −0.0471116 | − | 0.0648435i | ||||
\(425\) | −2.67769 | − | 7.15599i | −0.129887 | − | 0.347116i | ||||
\(426\) | −2.57237 | + | 0.585516i | −0.124632 | + | 0.0283684i | ||||
\(427\) | −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 | \(-0.534731\pi\) |
0.979051 | − | 0.203616i | \(-0.0652693\pi\) | |||||||
\(432\) | −2.15736 | + | 4.72713i | −0.103796 | + | 0.227434i | ||||
\(433\) | 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 | ||||
\(435\) | −2.10672 | − | 6.26697i | −0.101009 | − | 0.300478i | ||||
\(436\) | −6.39115 | + | 4.64345i | −0.306081 | + | 0.222381i | ||||
\(437\) | 3.89381 | − | 0.616719i | 0.186266 | − | 0.0295017i | ||||
\(438\) | −1.47759 | − | 3.68994i | −0.0706020 | − | 0.176312i | ||||
\(439\) | 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 | ||||
\(441\) | −0.123559 | + | 0.228958i | −0.00588378 | + | 0.0109028i | ||||
\(442\) | 0.644516 | − | 1.26493i | 0.0306565 | − | 0.0601668i | ||||
\(443\) | −14.0102 | + | 27.4966i | −0.665646 | + | 1.30640i | 0.273163 | + | 0.961968i | \(0.411930\pi\) |
−0.938810 | + | 0.344436i | \(0.888070\pi\) | |||||||
\(444\) | 3.70267 | − | 2.20925i | 0.175721 | − | 0.104847i | ||||
\(445\) | 11.9177 | − | 14.5906i | 0.564955 | − | 0.691659i | ||||
\(446\) | −9.47630 | − | 13.0430i | −0.448716 | − | 0.617605i | ||||
\(447\) | −1.50063 | − | 22.4565i | −0.0709772 | − | 1.06215i | ||||
\(448\) | −2.37194 | − | 1.20856i | −0.112064 | − | 0.0570993i | ||||
\(449\) | −28.3119 | − | 20.5698i | −1.33612 | − | 0.970749i | −0.999577 | − | 0.0290812i | \(-0.990742\pi\) |
−0.336544 | − | 0.941668i | \(-0.609258\pi\) | |||||||
\(450\) | 10.3894 | − | 10.8194i | 0.489763 | − | 0.510031i | ||||
\(451\) | −0.389438 | − | 1.19857i | −0.0183379 | − | 0.0564384i | ||||
\(452\) | −4.90712 | + | 0.777212i | −0.230812 | + | 0.0365570i | ||||
\(453\) | −36.8893 | − | 9.31864i | −1.73321 | − | 0.437828i | ||||
\(454\) | 18.8486 | + | 6.12429i | 0.884609 | + | 0.287427i | ||||
\(455\) | −5.34775 | + | 1.40871i | −0.250706 | + | 0.0660413i | ||||
\(456\) | 1.06416 | + | 4.67521i | 0.0498338 | + | 0.218937i | ||||
\(457\) | −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 | 0.375138 | − | 0.926969i | \(-0.377595\pi\) |
−0.241365 | + | 0.970434i | \(0.577595\pi\) | |||||||
\(462\) | −12.7607 | + | 0.852715i | −0.593679 | + | 0.0396719i | ||||
\(463\) | −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 | ||||||||
\(465\) | −4.92455 | − | 20.9940i | −0.228370 | − | 0.973574i | ||||
\(466\) | −9.87718 | −0.457551 | ||||||||
\(467\) | −5.40369 | + | 34.1175i | −0.250053 | + | 1.57877i | 0.468605 | + | 0.883408i | \(0.344757\pi\) |
−0.718658 | + | 0.695364i | \(0.755243\pi\) | |||||||
\(468\) | 2.78632 | + | 0.0658545i | 0.128798 | + | 0.00304413i | ||||
\(469\) | −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 | ||||
\(474\) | 16.1292 | − | 3.67128i | 0.740837 | − | 0.168627i | ||||
\(475\) | 1.56322 | − | 13.7528i | 0.0717252 | − | 0.631023i | ||||
\(476\) | 3.86887 | + | 1.25707i | 0.177329 | + | 0.0576178i | ||||
\(477\) | −1.64085 | + | 4.67143i | −0.0751294 | + | 0.213890i | ||||
\(478\) | −6.55416 | + | 1.03808i | −0.299780 | + | 0.0474805i | ||||
\(479\) | 0.318077 | + | 0.978939i | 0.0145333 | + | 0.0447289i | 0.958060 | − | 0.286567i | \(-0.0925141\pi\) |
−0.943527 | + | 0.331296i | \(0.892514\pi\) | |||||||
\(480\) | −1.79318 | − | 3.43286i | −0.0818471 | − | 0.156688i | ||||
\(481\) | −1.87101 | − | 1.35937i | −0.0853105 | − | 0.0619817i | ||||
\(482\) | −1.74015 | − | 0.886652i | −0.0792618 | − | 0.0403859i | ||||
\(483\) | 6.55182 | − | 0.437817i | 0.298118 | − | 0.0199214i | ||||
\(484\) | 1.94362 | + | 2.67516i | 0.0883462 | + | 0.121598i | ||||
\(485\) | 24.4562 | − | 2.46591i | 1.11050 | − | 0.111971i | ||||
\(486\) | 15.3462 | − | 2.73776i | 0.696116 | − | 0.124187i | ||||
\(487\) | −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 | ||||
\(489\) | −17.3483 | + | 40.5216i | −0.784517 | + | 1.83245i | ||||
\(490\) | −0.0781242 | − | 0.177486i | −0.00352929 | − | 0.00801802i | ||||
\(491\) | − | 21.1558i | − | 0.954750i | −0.878700 | − | 0.477375i | \(-0.841588\pi\) | ||
0.878700 | − | 0.477375i | \(-0.158412\pi\) | |||||||
\(492\) | −0.730576 | + | 0.292550i | −0.0329369 | + | 0.0131892i | ||||
\(493\) | 2.57654 | − | 0.408083i | 0.116041 | − | 0.0183791i | ||||
\(494\) | 2.08065 | − | 1.51168i | 0.0936127 | − | 0.0680136i | ||||
\(495\) | −15.8482 | − | 9.74848i | −0.712325 | − | 0.438162i | ||||
\(496\) | −5.54324 | − | 0.521993i | −0.248899 | − | 0.0234382i | ||||
\(497\) | −2.86714 | + | 2.86714i | −0.128609 | + | 0.128609i | ||||
\(498\) | −10.5984 | − | 2.67727i | −0.474924 | − | 0.119971i | ||||
\(499\) | 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 | −0.959761 | − | 0.280818i | \(-0.909394\pi\) |
−0.336947 | + | 0.941524i | \(0.609394\pi\) | |||||||
\(504\) | 1.06260 | + | 7.91526i | 0.0473320 | + | 0.352574i | ||||
\(505\) | −20.4657 | − | 1.15939i | −0.910712 | − | 0.0515920i | ||||
\(506\) | 2.32178 | + | 3.19566i | 0.103216 | + | 0.142064i | ||||
\(507\) | 7.81464 | + | 19.5152i | 0.347060 | + | 0.866702i | ||||
\(508\) | −1.46395 | + | 9.24300i | −0.0649522 | + | 0.410092i | ||||
\(509\) | −21.7992 | − | 15.8380i | −0.966231 | − | 0.702008i | −0.0116417 | − | 0.999932i | \(-0.503706\pi\) |
−0.954590 | + | 0.297924i | \(0.903706\pi\) | |||||||
\(510\) | 3.52707 | + | 4.75255i | 0.156181 | + | 0.210446i | ||||
\(511\) | −4.94235 | − | 3.59083i | −0.218637 | − | 0.158849i | ||||
\(512\) | −0.987688 | + | 0.156434i | −0.0436501 | + | 0.00691349i | ||||
\(513\) | 9.72366 | − | 10.6000i | 0.429310 | − | 0.468003i | ||||
\(514\) | −11.6887 | + | 16.0881i | −0.515567 | + | 0.709617i | ||||
\(515\) | 8.62505 | − | 14.7941i | 0.380065 | − | 0.651908i | ||||
\(516\) | −13.9102 | − | 5.95528i | −0.612361 | − | 0.262167i | ||||
\(517\) | 24.2031 | + | 3.83340i | 1.06445 | + | 0.168593i | ||||
\(518\) | 3.00854 | − | 5.90459i | 0.132188 | − | 0.259433i | ||||
\(519\) | −4.09637 | + | 0.932404i | −0.179811 | + | 0.0409280i | ||||
\(520\) | −1.31416 | + | 1.60889i | −0.0576296 | + | 0.0705543i | ||||
\(521\) | − | 16.5556i | − | 0.725313i | −0.931923 | − | 0.362657i | \(-0.881870\pi\) | ||
0.931923 | − | 0.362657i | \(-0.118130\pi\) | |||||||
\(522\) | 2.91150 | + | 4.21321i | 0.127433 | + | 0.184407i | ||||
\(523\) | −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 | ||||
\(525\) | 4.66003 | − | 22.5785i | 0.203380 | − | 0.985406i | ||||
\(526\) | 24.8558 | 1.08376 | ||||||||
\(527\) | 8.49119 | − | 0.537265i | 0.369882 | − | 0.0234037i | ||||
\(528\) | −3.68972 | + | 3.07667i | −0.160575 | + | 0.133895i | ||||
\(529\) | 12.3270 | + | 16.9666i | 0.535955 | + | 0.737679i | ||||
\(530\) | −1.99684 | − | 3.10353i | −0.0867373 | − | 0.134809i | ||||
\(531\) | 26.6448 | + | 14.3791i | 1.15629 | + | 0.624000i | ||||
\(532\) | 5.21095 | + | 5.21095i | 0.225923 | + | 0.225923i | ||||
\(533\) | 0.298480 | + | 0.298480i | 0.0129286 | + | 0.0129286i | ||||
\(534\) | −5.74333 | + | 13.4151i | −0.248538 | + | 0.580527i | ||||
\(535\) | −7.23734 | − | 8.10657i | −0.312897 | − | 0.350478i | ||||
\(536\) | −11.4877 | + | 3.73257i | −0.496191 | + | 0.161222i | ||||
\(537\) | −2.90411 | − | 0.733611i | −0.125322 | − | 0.0316577i | ||||
\(538\) | −11.5729 | − | 22.7130i | −0.498942 | − | 0.979229i | ||||
\(539\) | −0.194604 | + | 0.141388i | −0.00838218 | + | 0.00609001i | ||||
\(540\) | −5.41412 | + | 10.2804i | −0.232987 | + | 0.442399i | ||||
\(541\) | −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 | ||||
\(543\) | 1.30296 | + | 19.4984i | 0.0559152 | + | 0.836756i | ||||
\(544\) | 1.45332 | − | 0.472213i | 0.0623106 | − | 0.0202460i | ||||
\(545\) | −14.8554 | + | 9.55814i | −0.636337 | + | 0.409426i | ||||
\(546\) | 3.67861 | − | 2.19490i | 0.157430 | − | 0.0939329i | ||||
\(547\) | 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 | ||||
\(549\) | 4.18882 | − | 0.562337i | 0.178775 | − | 0.0240000i | ||||
\(550\) | 12.9889 | − | 4.86029i | 0.553847 | − | 0.207244i | ||||
\(551\) | 4.49445 | + | 1.46033i | 0.191470 | + | 0.0622123i | ||||
\(552\) | 1.89445 | − | 1.57968i | 0.0806330 | − | 0.0672358i | ||||
\(553\) | 17.9774 | − | 17.9774i | 0.764478 | − | 0.764478i | ||||
\(554\) | −1.38167 | + | 4.25233i | −0.0587014 | + | 0.180664i | ||||
\(555\) | 8.54558 | − | 4.46385i | 0.362740 | − | 0.189480i | ||||
\(556\) | −11.4649 | + | 8.32973i | −0.486219 | + | 0.353259i | ||||
\(557\) | 16.0179 | − | 16.0179i | 0.678701 | − | 0.678701i | −0.281005 | − | 0.959706i | \(-0.590668\pi\) |
0.959706 | + | 0.281005i | \(0.0906679\pi\) | |||||||
\(558\) | 8.16579 | + | 14.5712i | 0.345685 | + | 0.616848i | ||||
\(559\) | 8.11613i | 0.343276i | ||||||||
\(560\) | −5.14248 | − | 2.99809i | −0.217309 | − | 0.126692i | ||||
\(561\) | 4.83342 | − | 5.52565i | 0.204067 | − | 0.233293i | ||||
\(562\) | −18.5608 | + | 9.45723i | −0.782942 | + | 0.398929i | ||||
\(563\) | −7.42955 | − | 7.42955i | −0.313118 | − | 0.313118i | 0.532998 | − | 0.846116i | \(-0.321065\pi\) |
−0.846116 | + | 0.532998i | \(0.821065\pi\) | |||||||
\(564\) | 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 | ||||
\(567\) | 17.7229 | − | 16.1221i | 0.744292 | − | 0.677067i | ||||
\(568\) | −0.238273 | + | 1.50439i | −0.00999770 | + | 0.0631230i | ||||
\(569\) | −1.83950 | + | 5.66139i | −0.0771158 | + | 0.237338i | −0.982182 | − | 0.187933i | \(-0.939821\pi\) |
0.905066 | + | 0.425271i | \(0.139821\pi\) | |||||||
\(570\) | 1.78444 | + | 10.5719i | 0.0747422 | + | 0.442810i | ||||
\(571\) | 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 | ||||
\(573\) | 7.70869 | − | 0.515124i | 0.322035 | − | 0.0215196i | ||||
\(574\) | −0.710953 | + | 0.978543i | −0.0296746 | + | 0.0408436i | ||||
\(575\) | −6.66899 | + | 2.49546i | −0.278116 | + | 0.104068i | ||||
\(576\) | 2.07060 | + | 2.17085i | 0.0862752 | + | 0.0904521i | ||||
\(577\) | 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 | ||||
\(579\) | 16.5817 | − | 9.89371i | 0.689111 | − | 0.411168i | ||||
\(580\) | −3.81110 | − | 0.215899i | −0.158247 | − | 0.00896473i | ||||
\(581\) | −15.9786 | + | 5.19178i | −0.662906 | + | 0.215391i | ||||
\(582\) | −17.6753 | + | 7.07786i | −0.732665 | + | 0.293387i | ||||
\(583\) | −3.23693 | + | 3.23693i | −0.134060 | + | 0.134060i | ||||
\(584\) | −2.29484 | −0.0949613 | ||||||||
\(585\) | 6.21211 | + | 0.499408i | 0.256839 | + | 0.0206480i | ||||
\(586\) | −7.85029 | − | 5.70357i | −0.324292 | − | 0.235612i | ||||
\(587\) | 3.75421 | − | 23.7031i | 0.154953 | − | 0.978333i | −0.780570 | − | 0.625068i | \(-0.785071\pi\) |
0.935523 | − | 0.353265i | \(-0.114929\pi\) | |||||||
\(588\) | 0.0961970 | + | 0.115365i | 0.00396710 | + | 0.00475757i | ||||
\(589\) | 14.1476 | + | 6.11623i | 0.582943 | + | 0.252015i | ||||
\(590\) | −20.6548 | + | 9.09163i | −0.850346 | + | 0.374297i | ||||
\(591\) | −34.3956 | + | 20.5226i | −1.41484 | + | 0.844188i | ||||
\(592\) | −0.389420 | − | 2.45870i | −0.0160051 | − | 0.101052i | ||||
\(593\) | 35.4347 | − | 18.0549i | 1.45513 | − | 0.741425i | 0.465497 | − | 0.885049i | \(-0.345876\pi\) |
0.989632 | + | 0.143624i | \(0.0458756\pi\) | |||||||
\(594\) | 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 | ||||
\(597\) | −26.0523 | − | 16.3914i | −1.06625 | − | 0.670853i | ||||
\(598\) | −1.17885 | − | 0.600654i | −0.0482067 | − | 0.0245626i | ||||
\(599\) | −27.4267 | + | 19.9266i | −1.12062 | + | 0.814180i | −0.984303 | − | 0.176484i | \(-0.943527\pi\) |
−0.136320 | + | 0.990665i | \(0.543527\pi\) | |||||||
\(600\) | −3.56910 | − | 7.89060i | −0.145708 | − | 0.322132i | ||||
\(601\) | 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 | ||||
\(603\) | 28.8045 | + | 21.9860i | 1.17301 | + | 0.895340i | ||||
\(604\) | −12.9119 | + | 17.7717i | −0.525378 | + | 0.723121i | ||||
\(605\) | 4.00077 | + | 6.21807i | 0.162655 | + | 0.252801i | ||||
\(606\) | 15.4821 | − | 3.52399i | 0.628917 | − | 0.143152i | ||||
\(607\) | 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 | ||||
\(609\) | 7.23600 | + | 3.09791i | 0.293217 | + | 0.125534i | ||||
\(610\) | −1.58661 | + | 2.72144i | −0.0642400 | + | 0.110188i | ||||
\(611\) | −7.80607 | + | 2.53635i | −0.315800 | + | 0.102610i | ||||
\(612\) | −3.64410 | − | 2.78149i | −0.147304 | − | 0.112435i | ||||
\(613\) | 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 | ||||||||
\(615\) | −1.66800 | + | 0.560719i | −0.0672603 | + | 0.0226104i | ||||
\(616\) | −2.28172 | + | 7.02241i | −0.0919331 | + | 0.282941i | ||||
\(617\) | −9.15979 | + | 1.45077i | −0.368759 | + | 0.0584057i | −0.338064 | − | 0.941123i | \(-0.609772\pi\) |
−0.0306951 | + | 0.999529i | \(0.509772\pi\) | |||||||
\(618\) | −3.24878 | + | 12.8608i | −0.130685 | + | 0.517338i | ||||
\(619\) | − | 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 | ||||
\(624\) | 0.633311 | − | 1.47927i | 0.0253527 | − | 0.0592180i | ||||
\(625\) | 2.19219 | + | 24.9037i | 0.0876878 | + | 0.996148i | ||||
\(626\) | − | 22.9794i | − | 0.918443i | ||||||
\(627\) | 12.3462 | − | 4.94387i | 0.493058 | − | 0.197439i | ||||
\(628\) | 9.06480 | + | 4.61874i | 0.361725 | + | 0.184308i | ||||
\(629\) | 1.17550 | + | 3.61783i | 0.0468704 | + | 0.144252i | ||||
\(630\) | 1.37119 | + | 17.8051i | 0.0546296 | + | 0.709373i | ||||
\(631\) | −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 | ||||
\(633\) | −2.02211 | − | 30.2604i | −0.0803717 | − | 1.20274i | ||||
\(634\) | −2.80722 | + | 0.912120i | −0.111489 | + | 0.0362249i | ||||
\(635\) | −4.43722 | + | 20.4497i | −0.176086 | + | 0.811523i | ||||
\(636\) | 2.15161 | + | 1.88206i | 0.0853167 | + | 0.0746286i | ||||
\(637\) | 0.0365776 | − | 0.0717876i | 0.00144926 | − | 0.00284433i | ||||
\(638\) | 0.740713 | + | 4.67668i | 0.0293251 | + | 0.185152i | ||||
\(639\) | 4.11928 | − | 1.97770i | 0.162956 | − | 0.0782367i | ||||
\(640\) | −2.22479 | + | 0.224324i | −0.0879424 | + | 0.00886720i | ||||
\(641\) | 13.3327 | + | 18.3509i | 0.526609 | + | 0.724816i | 0.986609 | − | 0.163103i | \(-0.0521504\pi\) |
−0.460000 | + | 0.887919i | \(0.652150\pi\) | |||||||
\(642\) | 7.12479 | + | 4.48272i | 0.281193 | + | 0.176919i | ||||
\(643\) | −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 | ||||
\(645\) | −30.3011 | − | 15.0543i | −1.19310 | − | 0.592764i | ||||
\(646\) | −4.23024 | −0.166436 | ||||||||
\(647\) | 4.31802 | + | 8.47459i | 0.169759 | + | 0.333170i | 0.960175 | − | 0.279400i | \(-0.0901356\pi\) |
−0.790416 | + | 0.612570i | \(0.790136\pi\) | |||||||
\(648\) | 1.82629 | − | 8.81275i | 0.0717436 | − | 0.346198i | ||||
\(649\) | 16.4539 | + | 22.6468i | 0.645872 | + | 0.888966i | ||||
\(650\) | −3.13732 | + | 3.42562i | −0.123056 | + | 0.134364i | ||||
\(651\) | 22.5491 | + | 12.2720i | 0.883770 | + | 0.480977i | ||||
\(652\) | 17.9952 | + | 17.9952i | 0.704747 | + | 0.704747i | ||||
\(653\) | −10.3185 | − | 1.63429i | −0.403795 | − | 0.0639549i | −0.0487663 | − | 0.998810i | \(-0.515529\pi\) |
−0.355029 | + | 0.934855i | \(0.615529\pi\) | |||||||
\(654\) | 9.00873 | − | 10.2989i | 0.352269 | − | 0.402720i | ||||
\(655\) | −11.8503 | − | 9.67948i | −0.463030 | − | 0.378209i | ||||
\(656\) | 0.454359i | 0.0177397i | ||||||||
\(657\) | 3.91389 | + | 5.66376i | 0.152695 | + | 0.220964i | ||||
\(658\) | −10.6774 | − | 20.9555i | −0.416247 | − | 0.816931i | ||||
\(659\) | −13.7492 | − | 42.3155i | −0.535591 | − | 1.64838i | −0.742369 | − | 0.669992i | \(-0.766298\pi\) |
0.206778 | − | 0.978388i | \(-0.433702\pi\) | |||||||
\(660\) | −8.62637 | + | 6.40200i | −0.335781 | + | 0.249197i | ||||
\(661\) | −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 | ||||
\(663\) | −0.602237 | + | 2.38405i | −0.0233889 | + | 0.0925887i | ||||
\(664\) | −3.70962 | + | 5.10586i | −0.143961 | + | 0.198146i | ||||
\(665\) | 10.9744 | + | 12.2924i | 0.425567 | + | 0.476680i | ||||
\(666\) | −5.40401 | + | 5.15446i | −0.209401 | + | 0.199731i | ||||
\(667\) | −0.380311 | − | 2.40119i | −0.0147257 | − | 0.0929745i | ||||
\(668\) | 6.93205 | − | 13.6049i | 0.268209 | − | 0.526390i | ||||
\(669\) | 21.0180 | + | 18.3849i | 0.812602 | + | 0.710803i | ||||
\(670\) | −26.1181 | + | 6.88006i | −1.00903 | + | 0.265800i | ||||
\(671\) | 3.71632 | + | 1.20750i | 0.143467 | + | 0.0466152i | ||||
\(672\) | 4.47045 | + | 1.12928i | 0.172451 | + | 0.0435631i | ||||
\(673\) | 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 | ||||
\(675\) | −13.3871 | + | 22.2662i | −0.515271 | + | 0.857027i | ||||
\(676\) | 12.1369 | 0.466804 | ||||||||
\(677\) | 8.78786 | − | 8.78786i | 0.337745 | − | 0.337745i | −0.517773 | − | 0.855518i | \(-0.673239\pi\) |
0.855518 | + | 0.517773i | \(0.173239\pi\) | |||||||
\(678\) | 7.98864 | − | 3.19895i | 0.306802 | − | 0.122855i | ||||
\(679\) | −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 | 0.675455 | − | 0.737402i | \(-0.263947\pi\) |
−0.737402 | + | 0.675455i | \(0.763947\pi\) | |||||||
\(684\) | −3.59442 | − | 7.48667i | −0.137436 | − | 0.286260i | ||||
\(685\) | −36.1925 | − | 7.85310i | −1.38284 | − | 0.300052i | ||||
\(686\) | −17.5030 | − | 5.68708i | −0.668268 | − | 0.217134i | ||||
\(687\) | 3.09587 | − | 2.58149i | 0.118115 | − | 0.0984900i | ||||
\(688\) | −6.17735 | + | 6.17735i | −0.235509 | + | 0.235509i | ||||
\(689\) | 0.473812 | − | 1.45824i | 0.0180508 | − | 0.0555546i | ||||
\(690\) | 4.42912 | − | 3.28704i | 0.168614 | − | 0.125135i | ||||
\(691\) | 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 | ||||
\(693\) | 21.2231 | − | 6.34546i | 0.806198 | − | 0.241044i | ||||
\(694\) | 14.7083 | + | 20.2443i | 0.558320 | + | 0.768462i | ||||
\(695\) | −26.6487 | + | 17.1460i | −1.01084 | + | 0.650387i | ||||
\(696\) | 2.88305 | − | 0.656233i | 0.109282 | − | 0.0248744i | ||||
\(697\) | −0.108614 | − | 0.685764i | −0.00411406 | − | 0.0259752i | ||||
\(698\) | −3.01641 | − | 19.0449i | −0.114173 | − | 0.720858i | ||||
\(699\) | 16.6811 | − | 3.79691i | 0.630937 | − | 0.143612i | ||||
\(700\) | −11.1014 | − | 7.34357i | −0.419592 | − | 0.277561i | ||||
\(701\) | −10.3003 | − | 14.1772i | −0.389039 | − | 0.535466i | 0.568912 | − | 0.822398i | \(-0.307364\pi\) |
−0.957951 | + | 0.286932i | \(0.907364\pi\) | |||||||
\(702\) | −4.73101 | + | 0.959878i | −0.178560 | + | 0.0362283i | ||||
\(703\) | −1.07802 | + | 6.80636i | −0.0406584 | + | 0.256707i | ||||
\(704\) | 0.857115 | + | 2.63793i | 0.0323038 | + | 0.0994207i | ||||
\(705\) | 5.00992 | − | 33.8481i | 0.188684 | − | 1.27479i | ||||
\(706\) | 1.75428 | − | 5.39913i | 0.0660233 | − | 0.203199i | ||||
\(707\) | 17.2562 | − | 17.2562i | 0.648987 | − | 0.648987i | ||||
\(708\) | 13.4255 | − | 11.1948i | 0.504560 | − | 0.420728i | ||||
\(709\) | −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 | ||||
\(711\) | −25.8285 | + | 12.4005i | −0.968645 | + | 0.465055i | ||||
\(712\) | 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 | ||||
\(717\) | 10.6700 | − | 4.27266i | 0.398477 | − | 0.159565i | ||||
\(718\) | 22.3308 | − | 22.3308i | 0.833378 | − | 0.833378i | ||||
\(719\) | 27.6282 | 1.03036 | 0.515179 | − | 0.857083i | \(-0.327726\pi\) | ||||
0.515179 | + | 0.857083i | \(0.327726\pi\) | |||||||
\(720\) | 4.34805 | + | 5.10827i | 0.162042 | + | 0.190374i | ||||
\(721\) | 6.30007 | + | 19.3896i | 0.234627 | + | 0.722107i | ||||
\(722\) | 10.1010 | + | 5.14673i | 0.375922 | + | 0.191542i | ||||
\(723\) | 3.27970 | + | 0.828490i | 0.121973 | + | 0.0308119i | ||||
\(724\) | 10.7303 | + | 3.48649i | 0.398788 | + | 0.129574i | ||||
\(725\) | −8.48093 | − | 0.963985i | −0.314974 | − | 0.0358015i | ||||
\(726\) | −4.31085 | − | 3.77080i | −0.159991 | − | 0.139948i | ||||
\(727\) | 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 | ||||
\(729\) | −24.8650 | + | 10.5229i | −0.920926 | + | 0.389738i | ||||
\(730\) | −5.12321 | − | 0.290231i | −0.189619 | − | 0.0107419i | ||||
\(731\) | 7.84678 | − | 10.8002i | 0.290224 | − | 0.399458i | ||||
\(732\) | 0.597627 | − | 2.36580i | 0.0220889 | − | 0.0874424i | ||||
\(733\) | 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 | ||||
\(735\) | 0.200168 | + | 0.269717i | 0.00738332 | + | 0.00994865i | ||||
\(736\) | −0.440077 | − | 1.35442i | −0.0162214 | − | 0.0499245i | ||||
\(737\) | 15.2100 | + | 29.8513i | 0.560267 | + | 1.09959i | ||||
\(738\) | 1.12138 | − | 0.774917i | 0.0412784 | − | 0.0285251i | ||||
\(739\) | 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 | ||||
\(741\) | −2.93280 | + | 3.35283i | −0.107739 | + | 0.123169i | ||||
\(742\) | 4.33945 | + | 0.687301i | 0.159306 | + | 0.0252316i | ||||
\(743\) | 37.6854 | + | 37.6854i | 1.38254 | + | 1.38254i | 0.840079 | + | 0.542464i | \(0.182509\pi\) |
0.542464 | + | 0.840079i | \(0.317491\pi\) | |||||||
\(744\) | 9.56238 | − | 1.24932i | 0.350574 | − | 0.0458023i | ||||
\(745\) | −27.0817 | − | 10.5273i | −0.992196 | − | 0.385691i | ||||
\(746\) | −13.8468 | − | 19.0584i | −0.506966 | − | 0.697778i | ||||
\(747\) | 18.9283 | + | 0.447368i | 0.692549 | + | 0.0163683i | ||||
\(748\) | −1.92424 | − | 3.77653i | −0.0703572 | − | 0.138084i | ||||
\(749\) | 12.9376 | 0.472731 | ||||||||
\(750\) | −6.97004 | − | 18.0671i | −0.254510 | − | 0.659716i | ||||
\(751\) | −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 | ||||
\(753\) | −6.11585 | − | 3.84792i | −0.222874 | − | 0.140226i | ||||
\(754\) | −0.932204 | − | 1.28307i | −0.0339489 | − | 0.0467266i | ||||
\(755\) | −31.0733 | + | 38.0422i | −1.13087 | + | 1.38450i | ||||
\(756\) | −4.83730 | − | 12.9592i | −0.175931 | − | 0.471323i | ||||
\(757\) | 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 | ||||
\(759\) | −5.14960 | − | 4.50448i | −0.186919 | − | 0.163502i | ||||
\(760\) | 6.04929 | + | 1.31258i | 0.219431 | + | 0.0476124i | ||||
\(761\) | 9.06370 | − | 2.94497i | 0.328559 | − | 0.106755i | −0.140093 | − | 0.990138i | \(-0.544740\pi\) |
0.468651 | + | 0.883383i | \(0.344740\pi\) | |||||||
\(762\) | −1.08073 | − | 16.1728i | −0.0391507 | − | 0.585880i | ||||
\(763\) | 3.28986 | − | 20.7713i | 0.119101 | − | 0.751973i | ||||
\(764\) | 1.37838 | − | 4.24223i | 0.0498681 | − | 0.153478i | ||||
\(765\) | −7.78364 | − | 6.67051i | −0.281418 | − | 0.241173i | ||||
\(766\) | −6.96461 | − | 21.4349i | −0.251641 | − | 0.774473i | ||||
\(767\) | −8.35421 | − | 4.25668i | −0.301653 | − | 0.153700i | ||||
\(768\) | 1.60793 | − | 0.643874i | 0.0580210 | − | 0.0232338i | ||||
\(769\) | 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 | ||||
\(771\) | 13.5560 | − | 31.6638i | 0.488209 | − | 1.14034i | ||||
\(772\) | −1.74394 | − | 11.0108i | −0.0627658 | − | 0.396288i | ||||
\(773\) | 46.7369 | + | 7.40239i | 1.68101 | + | 0.266246i | 0.922663 | − | 0.385608i | \(-0.126008\pi\) |
0.758345 | + | 0.651853i | \(0.226008\pi\) | |||||||
\(774\) | 25.7815 | + | 4.71037i | 0.926697 | + | 0.169311i | ||||
\(775\) | −27.2441 | − | 5.72348i | −0.978638 | − | 0.205593i | ||||
\(776\) | 10.9926i | 0.394612i | ||||||||
\(777\) | −2.81118 | + | 11.1285i | −0.100851 | + | 0.399233i | ||||
\(778\) | 11.8550 | − | 1.87765i | 0.425022 | − | 0.0673169i | ||||
\(779\) | 0.388679 | − | 1.19623i | 0.0139259 | − | 0.0428594i | ||||
\(780\) | 1.60094 | − | 3.22235i | 0.0573229 | − | 0.115379i | ||||
\(781\) | 4.22473 | 0.151173 | ||||||||
\(782\) | 0.987980 | + | 1.93902i | 0.0353301 | + | 0.0693392i | ||||
\(783\) | −6.53670 | − | 5.99627i | −0.233603 | − | 0.214289i | ||||
\(784\) | 0.0824790 | − | 0.0267990i | 0.00294568 | − | 0.000957108i | ||||
\(785\) | 19.6529 | + | 11.4577i | 0.701443 | + | 0.408944i | ||||
\(786\) | 10.8956 | + | 4.66468i | 0.388633 | + | 0.166384i | ||||
\(787\) | 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 | ||||
\(789\) | −41.9778 | + | 9.55488i | −1.49445 | + | 0.340163i | ||||
\(790\) | 4.52832 | − | 20.8696i | 0.161111 | − | 0.742508i | ||||
\(791\) | 7.77407 | − | 10.7001i | 0.276414 | − | 0.380451i | ||||
\(792\) | 5.04869 | − | 6.61443i | 0.179397 | − | 0.235033i | ||||
\(793\) | −1.29271 | + | 0.204745i | −0.0459055 | + | 0.00727071i | ||||
\(794\) | −17.0338 | + | 12.3758i | −0.604508 | + | 0.439200i | ||||
\(795\) | 4.56541 | + | 4.47379i | 0.161918 | + | 0.158669i | ||||
\(796\) | −14.3768 | + | 10.4454i | −0.509573 | + | 0.370226i | ||||
\(797\) | −14.0831 | − | 7.17567i | −0.498847 | − | 0.254175i | 0.186416 | − | 0.982471i | \(-0.440313\pi\) |
−0.685263 | + | 0.728296i | \(0.740313\pi\) | |||||||
\(798\) | −10.8037 | − | 6.79738i | −0.382446 | − | 0.240625i | ||||
\(799\) | 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 | ||||
\(804\) | 17.9661 | − | 10.7198i | 0.633616 | − | 0.378057i | ||||
\(805\) | 3.07141 | − | 7.90125i | 0.108253 | − | 0.278482i | ||||
\(806\) | −2.63468 | − | 4.45137i | −0.0928026 | − | 0.156793i | ||||
\(807\) | 28.2761 | + | 33.9103i | 0.995365 | + | 1.19370i | ||||
\(808\) | 1.43407 | − | 9.05436i | 0.0504504 | − | 0.318531i | ||||
\(809\) | 29.4055 | + | 21.3643i | 1.03384 | + | 0.751130i | 0.969074 | − | 0.246771i | \(-0.0793695\pi\) |
0.0647674 | + | 0.997900i | \(0.479369\pi\) | |||||||
\(810\) | 5.19174 | − | 19.4434i | 0.182419 | − | 0.683171i | ||||
\(811\) | −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 | ||||
\(813\) | −40.3230 | + | 16.1468i | −1.41419 | + | 0.566295i | ||||
\(814\) | −6.56673 | + | 2.13366i | −0.230164 | + | 0.0747847i | ||||
\(815\) | 37.8982 | + | 42.4500i | 1.32752 | + | 1.48696i | ||||
\(816\) | −2.27292 | + | 1.35617i | −0.0795682 | + | 0.0474755i | ||||
\(817\) | 21.5480 | − | 10.9793i | 0.753870 | − | 0.384116i | ||||
\(818\) | 16.7888 | + | 2.65908i | 0.587006 | + | 0.0929725i | ||||
\(819\) | −5.36889 | + | 5.12096i | −0.187604 | + | 0.178941i | ||||
\(820\) | −0.0574632 | + | 1.01435i | −0.00200670 | + | 0.0354227i | ||||
\(821\) | −19.9579 | + | 27.4697i | −0.696534 | + | 0.958697i | 0.303448 | + | 0.952848i | \(0.401862\pi\) |
−0.999983 | + | 0.00584957i | \(0.998138\pi\) | |||||||
\(822\) | 28.6231 | − | 1.91270i | 0.998345 | − | 0.0667132i | ||||
\(823\) | 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 | ||||
\(825\) | −20.0679 | + | 13.2014i | −0.698676 | + | 0.459614i | ||||
\(826\) | 8.30230 | − | 25.5518i | 0.288874 | − | 0.889062i | ||||
\(827\) | −3.25601 | + | 20.5577i | −0.113223 | + | 0.714860i | 0.864134 | + | 0.503262i | \(0.167867\pi\) |
−0.977357 | + | 0.211598i | \(0.932133\pi\) | |||||||
\(828\) | −2.59219 | + | 3.39611i | −0.0900850 | + | 0.118023i | ||||
\(829\) | 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 | ||||
\(834\) | 16.1605 | − | 18.4749i | 0.559591 | − | 0.639735i | ||||
\(835\) | 17.1963 | − | 29.4961i | 0.595104 | − | 1.02075i | ||||
\(836\) | − | 7.67832i | − | 0.265560i | ||||||
\(837\) | −19.3922 | − | 21.4696i | −0.670292 | − | 0.742098i | ||||
\(838\) | 24.3765 | − | 24.3765i | 0.842073 | − | 0.842073i | ||||
\(839\) | 14.8704 | − | 10.8040i | 0.513384 | − | 0.372995i | −0.300722 | − | 0.953712i | \(-0.597228\pi\) |
0.814106 | + | 0.580717i | \(0.197228\pi\) | |||||||
\(840\) | 9.83740 | + | 3.08650i | 0.339422 | + | 0.106494i | ||||
\(841\) | −8.06095 | + | 24.8091i | −0.277964 | + | 0.855485i | ||||
\(842\) | −1.22930 | + | 1.22930i | −0.0423644 | + | 0.0423644i | ||||
\(843\) | 27.7111 | − | 23.1069i | 0.954421 | − | 0.795844i | ||||
\(844\) | −16.6528 | − | 5.41082i | −0.573213 | − | 0.186248i | ||||
\(845\) | 27.0955 | + | 1.53496i | 0.932113 | + | 0.0528043i | ||||
\(846\) | 3.52648 | + | 26.2686i | 0.121243 | + | 0.903134i | ||||
\(847\) | −8.69430 | − | 1.37704i | −0.298740 | − | 0.0473157i | ||||
\(848\) | 1.47053 | − | 0.749270i | 0.0504981 | − | 0.0257301i | ||||
\(849\) | 26.8491 | − | 16.0199i | 0.921457 | − | 0.549801i | ||||
\(850\) | 7.48677 | − | 1.52528i | 0.256794 | − | 0.0523168i | ||||
\(851\) | 3.37162 | − | 1.09550i | 0.115578 | − | 0.0375534i | ||||
\(852\) | −0.175900 | − | 2.63230i | −0.00602623 | − | 0.0901810i | ||||
\(853\) | −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 | ||||
\(855\) | −7.07765 | − | 17.1685i | −0.242051 | − | 0.587150i | ||||
\(856\) | 3.93178 | − | 2.85661i | 0.134386 | − | 0.0976368i | ||||
\(857\) | 0.286096 | + | 0.561495i | 0.00977286 | + | 0.0191803i | 0.895841 | − | 0.444374i | \(-0.146574\pi\) |
−0.886068 | + | 0.463554i | \(0.846574\pi\) | |||||||
\(858\) | −4.32730 | − | 1.09312i | −0.147731 | − | 0.0373186i | ||||
\(859\) | 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 | ||||
\(861\) | 0.824532 | − | 1.92591i | 0.0281000 | − | 0.0656350i | ||||
\(862\) | 21.7322 | + | 21.7322i | 0.740200 | + | 0.740200i | ||||
\(863\) | 21.7186 | + | 21.7186i | 0.739310 | + | 0.739310i | 0.972444 | − | 0.233135i | \(-0.0748984\pi\) |
−0.233135 | + | 0.972444i | \(0.574898\pi\) | |||||||
\(864\) | −4.33145 | − | 2.87028i | −0.147359 | − | 0.0976491i | ||||
\(865\) | −1.15007 | + | 5.30032i | −0.0391036 | + | 0.180216i | ||||
\(866\) | 23.6774 | + | 32.5891i | 0.804590 | + | 1.10742i | ||||
\(867\) | −19.5081 | + | 16.2668i | −0.662530 | + | 0.552450i | ||||
\(868\) | 11.4171 | − | 9.45191i | 0.387521 | − | 0.320819i | ||||
\(869\) | −26.4897 | −0.898601 | ||||||||
\(870\) | 6.51938 | − | 1.10041i | 0.221028 | − | 0.0373074i | ||||
\(871\) | −9.07850 | − | 6.59592i | −0.307613 | − | 0.223494i | ||||
\(872\) | −3.58648 | − | 7.03886i | −0.121454 | − | 0.238366i | ||||
\(873\) | 27.1302 | − | 18.7481i | 0.918217 | − | 0.634526i | ||||
\(874\) | 3.94235i | 0.133352i | ||||||||
\(875\) | −23.8549 | − | 17.7984i | −0.806443 | − | 0.601697i | ||||
\(876\) | 3.87565 | − | 0.882166i | 0.130946 | − | 0.0298056i | ||||
\(877\) | 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 | ||||
\(879\) | 15.4505 | + | 6.61475i | 0.521133 | + | 0.223110i | ||||
\(880\) | 1.57988 | + | 5.99755i | 0.0532577 | + | 0.202177i | ||||
\(881\) | −5.75875 | + | 7.92624i | −0.194017 | + | 0.267042i | −0.894931 | − | 0.446204i | \(-0.852776\pi\) |
0.700914 | + | 0.713246i | \(0.252776\pi\) | |||||||
\(882\) | −0.206810 | − | 0.157855i | −0.00696366 | − | 0.00531526i | ||||
\(883\) | 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 | ||||
\(885\) | 31.3880 | − | 23.2944i | 1.05510 | − | 0.783033i | ||||
\(886\) | −24.9664 | − | 18.1392i | −0.838763 | − | 0.609397i | ||||
\(887\) | 8.29388 | − | 52.3655i | 0.278481 | − | 1.75826i | −0.310934 | − | 0.950432i | \(-0.600642\pi\) |
0.589415 | − | 0.807830i | \(-0.299358\pi\) | |||||||
\(888\) | 1.60283 | + | 4.00269i | 0.0537874 | + | 0.134321i | ||||
\(889\) | −14.6431 | − | 20.1546i | −0.491115 | − | 0.675962i | ||||
\(890\) | 12.5466 | + | 14.0535i | 0.420562 | + | 0.471074i | ||||
\(891\) | −24.9353 | − | 1.17935i | −0.835363 | − | 0.0395096i | ||||
\(892\) | 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 | ||||
\(897\) | 2.22180 | + | 0.561252i | 0.0741838 | + | 0.0187397i | ||||
\(898\) | 24.7455 | − | 24.7455i | 0.825768 | − | 0.825768i | ||||
\(899\) | 3.77168 | − | 8.72440i | 0.125793 | − | 0.290975i | ||||
\(900\) | 9.06093 | + | 11.9541i | 0.302031 | + | 0.398469i | ||||
\(901\) | −2.04035 | + | 1.48240i | −0.0679739 | + | 0.0493860i | ||||
\(902\) | 1.24473 | − | 0.197146i | 0.0414451 | − | 0.00656426i | ||||
\(903\) | 37.3944 | − | 14.9741i | 1.24441 | − | 0.498307i | ||||
\(904\) | − | 4.96829i | − | 0.165243i | ||||||
\(905\) | 23.5143 | + | 9.14061i | 0.781643 | + | 0.303844i | ||||
\(906\) | 14.9747 | − | 34.9773i | 0.497500 | − | 1.16204i | ||||
\(907\) | −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 | ||||
\(909\) | −24.7923 | + | 11.9030i | −0.822310 | + | 0.394798i | ||||
\(910\) | −0.554793 | − | 5.50228i | −0.0183912 | − | 0.182399i | ||||
\(911\) | −34.0188 | − | 46.8229i | −1.12709 | − | 1.55131i | −0.793474 | − | 0.608604i | \(-0.791730\pi\) |
−0.333619 | − | 0.942708i | \(-0.608270\pi\) | |||||||
\(912\) | −4.78412 | + | 0.319693i | −0.158418 | + | 0.0105861i | ||||
\(913\) | 15.5973 | + | 7.94721i | 0.516195 | + | 0.263014i | ||||
\(914\) | −31.1439 | − | 22.6274i | −1.03015 | − | 0.748446i | ||||
\(915\) | 1.63340 | − | 5.20603i | 0.0539985 | − | 0.172106i | ||||
\(916\) | −0.719165 | − | 2.21336i | −0.0237619 | − | 0.0731315i | ||||
\(917\) | 17.9920 | − | 2.84965i | 0.594148 | − | 0.0941038i | ||||
\(918\) | 7.22359 | + | 3.29669i | 0.238414 | + | 0.108807i | ||||
\(919\) | −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 | ||||
\(921\) | −45.6778 | + | 10.3971i | −1.50514 | + | 0.342595i | ||||
\(922\) | −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 | ||||
\(927\) | 0.542868 | − | 22.9689i | 0.0178301 | − | 0.754398i | ||||
\(928\) | 0.267050 | − | 1.68609i | 0.00876636 | − | 0.0553486i | ||||
\(929\) | 53.1341 | 1.74327 | 0.871636 | − | 0.490153i | \(-0.163059\pi\) | ||||
0.871636 | + | 0.490153i | \(0.163059\pi\) | |||||||
\(930\) | 21.5059 | − | 1.57973i | 0.705207 | − | 0.0518014i | ||||
\(931\) | −0.240074 | −0.00786812 | ||||||||
\(932\) | 1.54513 | − | 9.75557i | 0.0506124 | − | 0.319554i | ||||
\(933\) | 10.3530 | − | 0.691829i | 0.338944 | − | 0.0226495i | ||||
\(934\) | −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 | ||||
\(939\) | 8.83357 | + | 38.8089i | 0.288273 | + | 1.26648i | ||||
\(940\) | −17.0665 | − | 9.94984i | −0.556648 | − | 0.324528i | ||||
\(941\) | −19.0423 | − | 6.18723i | −0.620762 | − | 0.201698i | −0.0182836 | − | 0.999833i | \(-0.505820\pi\) |
−0.602479 | + | 0.798135i | \(0.705820\pi\) | |||||||
\(942\) | −17.0846 | − | 4.31576i | −0.556647 | − | 0.140615i | ||||
\(943\) | −0.639095 | + | 0.101223i | −0.0208118 | + | 0.00329626i | ||||
\(944\) | −3.11871 | − | 9.59841i | −0.101505 | − | 0.312402i | ||||
\(945\) | −9.16025 | − | 29.5431i | −0.297983 | − | 0.961039i | ||||
\(946\) | 19.6034 | + | 14.2427i | 0.637362 | + | 0.463071i | ||||
\(947\) | −43.0616 | − | 21.9410i | −1.39931 | − | 0.712986i | −0.418551 | − | 0.908193i | \(-0.637462\pi\) |
−0.980762 | + | 0.195207i | \(0.937462\pi\) | |||||||
\(948\) | 1.10292 | + | 16.5049i | 0.0358212 | + | 0.536054i | ||||
\(949\) | −1.25315 | − | 1.72481i | −0.0406790 | − | 0.0559898i | ||||
\(950\) | 13.3390 | + | 3.69538i | 0.432773 | + | 0.119894i | ||||
\(951\) | 4.39035 | − | 2.61957i | 0.142367 | − | 0.0849452i | ||||
\(952\) | −1.84682 | + | 3.62459i | −0.0598558 | + | 0.117474i | ||||
\(953\) | −6.60332 | + | 12.9597i | −0.213902 | + | 0.419807i | −0.972880 | − | 0.231309i | \(-0.925699\pi\) |
0.758978 | + | 0.651116i | \(0.225699\pi\) | |||||||
\(954\) | −4.35723 | − | 2.35142i | −0.141071 | − | 0.0761301i | ||||
\(955\) | 3.61374 | − | 9.29640i | 0.116938 | − | 0.300824i | ||||
\(956\) | − | 6.63586i | − | 0.214619i | ||||||
\(957\) | −3.04873 | − | 7.61349i | −0.0985514 | − | 0.246109i | ||||
\(958\) | −1.01665 | + | 0.161021i | −0.0328463 | + | 0.00520234i | ||||
\(959\) | 35.6701 | − | 25.9158i | 1.15185 | − | 0.836866i | ||||
\(960\) | 3.67111 | − | 1.23409i | 0.118484 | − | 0.0398300i | ||||
\(961\) | 14.9150 | − | 27.1762i | 0.481128 | − | 0.876651i | ||||
\(962\) | 1.63532 | − | 1.63532i | 0.0527248 | − | 0.0527248i | ||||
\(963\) | −13.7559 | − | 4.83180i | −0.443279 | − | 0.155703i | ||||
\(964\) | 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 | ||||
\(969\) | 7.14425 | − | 1.62615i | 0.229506 | − | 0.0522396i | ||||
\(970\) | −1.39024 | + | 24.5409i | −0.0446380 | + | 0.787960i | ||||
\(971\) | 2.74642 | + | 3.78013i | 0.0881369 | + | 0.121310i | 0.850808 | − | 0.525476i | \(-0.176113\pi\) |
−0.762672 | + | 0.646786i | \(0.776113\pi\) | |||||||
\(972\) | 0.303387 | + | 15.5855i | 0.00973114 | + | 0.499905i | ||||
\(973\) | 5.90157 | − | 37.2610i | 0.189195 | − | 1.19453i | ||||
\(974\) | −11.0169 | − | 8.00423i | −0.353003 | − | 0.256472i | ||||
\(975\) | 3.98162 | − | 6.99139i | 0.127514 | − | 0.223904i | ||||
\(976\) | −1.13974 | − | 0.828072i | −0.0364823 | − | 0.0265059i | ||||
\(977\) | −11.3182 | + | 1.79263i | −0.362101 | + | 0.0573512i | −0.334834 | − | 0.942277i | \(-0.608680\pi\) |
−0.0272667 | + | 0.999628i | \(0.508680\pi\) | |||||||
\(978\) | −37.3089 | − | 23.4737i | −1.19301 | − | 0.750606i | ||||
\(979\) | 13.7358 | − | 18.9057i | 0.438998 | − | 0.604229i | ||||
\(980\) | 0.187523 | − | 0.0493974i | 0.00599019 | − | 0.00157794i | ||||
\(981\) | −11.2554 | + | 20.8565i | −0.359357 | + | 0.665896i | ||||
\(982\) | 20.8954 | + | 3.30950i | 0.666798 | + | 0.105610i | ||||
\(983\) | −17.3200 | + | 33.9924i | −0.552422 | + | 1.08419i | 0.430915 | + | 0.902393i | \(0.358191\pi\) |
−0.983336 | + | 0.181796i | \(0.941809\pi\) | |||||||
\(984\) | −0.174661 | − | 0.767346i | −0.00556800 | − | 0.0244621i | ||||
\(985\) | 5.18740 | + | 51.4472i | 0.165284 | + | 1.63924i | ||||
\(986\) | 2.60865i | 0.0830764i | ||||||||
\(987\) | 26.0881 | + | 31.2863i | 0.830393 | + | 0.995854i | ||||
\(988\) | 1.16758 | + | 2.29151i | 0.0371457 | + | 0.0729026i | ||||
\(989\) | −10.0652 | − | 7.31277i | −0.320054 | − | 0.232533i | ||||
\(990\) | 12.1077 | − | 14.1281i | 0.384807 | − | 0.449021i | ||||
\(991\) | −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 | ||||
\(993\) | −25.4907 | − | 30.5699i | −0.808923 | − | 0.970106i | ||||
\(994\) | −2.38332 | − | 3.28037i | −0.0755945 | − | 0.104047i | ||||
\(995\) | −33.4171 | + | 21.5009i | −1.05939 | + | 0.681625i | ||||
\(996\) | 4.30226 | − | 10.0491i | 0.136322 | − | 0.318417i | ||||
\(997\) | −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 | ||||
\(999\) | 7.14514 | − | 10.7825i | 0.226062 | − | 0.341143i |
(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.47.16 | ✓ | 512 | |
3.2 | odd | 2 | inner | 930.2.bk.a.47.51 | yes | 512 | |
5.3 | odd | 4 | inner | 930.2.bk.a.233.64 | yes | 512 | |
15.8 | even | 4 | inner | 930.2.bk.a.233.3 | yes | 512 | |
31.2 | even | 5 | inner | 930.2.bk.a.467.3 | yes | 512 | |
93.2 | odd | 10 | inner | 930.2.bk.a.467.64 | yes | 512 | |
155.33 | odd | 20 | inner | 930.2.bk.a.653.51 | yes | 512 | |
465.188 | even | 20 | inner | 930.2.bk.a.653.16 | yes | 512 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
930.2.bk.a.47.16 | ✓ | 512 | 1.1 | even | 1 | trivial | |
930.2.bk.a.47.51 | yes | 512 | 3.2 | odd | 2 | inner | |
930.2.bk.a.233.3 | yes | 512 | 15.8 | even | 4 | inner | |
930.2.bk.a.233.64 | yes | 512 | 5.3 | odd | 4 | inner | |
930.2.bk.a.467.3 | yes | 512 | 31.2 | even | 5 | inner | |
930.2.bk.a.467.64 | yes | 512 | 93.2 | odd | 10 | inner | |
930.2.bk.a.653.16 | yes | 512 | 465.188 | even | 20 | inner | |
930.2.bk.a.653.51 | yes | 512 | 155.33 | odd | 20 | inner |