Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [378,2,Mod(43,378)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(378, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([4, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("378.43");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 378 = 2 \cdot 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 378.u (of order \(9\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.01834519640\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{9})\) |
Coefficient field: | 12.0.1952986685049.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - 6 x^{11} + 27 x^{10} - 80 x^{9} + 186 x^{8} - 330 x^{7} + 463 x^{6} - 504 x^{5} + 420 x^{4} + \cdots + 3 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 3 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 169.2 | ||
Root | \(0.500000 - 1.27297i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 378.169 |
Dual form | 378.2.u.b.85.2 |
$q$-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 \(\left(\mathbb{Z}/378\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(325\) |
\(\chi(n)\) | \(e\left(\frac{8}{9}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.939693 | + | 0.342020i | −0.664463 | + | 0.241845i | ||||
\(3\) | 1.71872 | + | 0.214444i | 0.992306 | + | 0.123809i | ||||
\(4\) | 0.766044 | − | 0.642788i | 0.383022 | − | 0.321394i | ||||
\(5\) | −0.701272 | − | 3.97711i | −0.313619 | − | 1.77862i | −0.579863 | − | 0.814714i | \(-0.696894\pi\) |
0.266245 | − | 0.963905i | \(-0.414217\pi\) | |||||||
\(6\) | −1.68842 | + | 0.386327i | −0.689293 | + | 0.157717i | ||||
\(7\) | 0.766044 | + | 0.642788i | 0.289538 | + | 0.242951i | ||||
\(8\) | −0.500000 | + | 0.866025i | −0.176777 | + | 0.306186i | ||||
\(9\) | 2.90803 | + | 0.737141i | 0.969342 | + | 0.245714i | ||||
\(10\) | 2.01923 | + | 3.49741i | 0.638538 | + | 1.10598i | ||||
\(11\) | −0.324801 | + | 1.84204i | −0.0979313 | + | 0.555396i | 0.895878 | + | 0.444299i | \(0.146547\pi\) |
−0.993810 | + | 0.111096i | \(0.964564\pi\) | |||||||
\(12\) | 1.45446 | − | 0.940501i | 0.419867 | − | 0.271499i | ||||
\(13\) | 0.134587 | + | 0.0489857i | 0.0373278 | + | 0.0135862i | 0.360617 | − | 0.932714i | \(-0.382566\pi\) |
−0.323289 | + | 0.946300i | \(0.604789\pi\) | |||||||
\(14\) | −0.939693 | − | 0.342020i | −0.251143 | − | 0.0914087i | ||||
\(15\) | −0.352425 | − | 6.98595i | −0.0909959 | − | 1.80376i | ||||
\(16\) | 0.173648 | − | 0.984808i | 0.0434120 | − | 0.246202i | ||||
\(17\) | −2.90612 | − | 5.03355i | −0.704838 | − | 1.22082i | −0.966750 | − | 0.255724i | \(-0.917686\pi\) |
0.261911 | − | 0.965092i | \(-0.415647\pi\) | |||||||
\(18\) | −2.98477 | + | 0.301918i | −0.703517 | + | 0.0711628i | ||||
\(19\) | 2.89839 | − | 5.02016i | 0.664936 | − | 1.15170i | −0.314367 | − | 0.949302i | \(-0.601792\pi\) |
0.979303 | − | 0.202401i | \(-0.0648744\pi\) | |||||||
\(20\) | −3.09365 | − | 2.59588i | −0.691760 | − | 0.580456i | ||||
\(21\) | 1.17878 | + | 1.26905i | 0.257230 | + | 0.276929i | ||||
\(22\) | −0.324801 | − | 1.84204i | −0.0692479 | − | 0.392724i | ||||
\(23\) | 3.84135 | − | 3.22328i | 0.800977 | − | 0.672100i | −0.147459 | − | 0.989068i | \(-0.547109\pi\) |
0.948436 | + | 0.316969i | \(0.102665\pi\) | |||||||
\(24\) | −1.04508 | + | 1.38124i | −0.213325 | + | 0.281944i | ||||
\(25\) | −10.6272 | + | 3.86798i | −2.12544 | + | 0.773596i | ||||
\(26\) | −0.143225 | −0.0280887 | ||||||||
\(27\) | 4.84002 | + | 1.89055i | 0.931463 | + | 0.363837i | ||||
\(28\) | 1.00000 | 0.188982 | ||||||||
\(29\) | 0.917198 | − | 0.333833i | 0.170319 | − | 0.0619912i | −0.255453 | − | 0.966821i | \(-0.582225\pi\) |
0.425772 | + | 0.904830i | \(0.360002\pi\) | |||||||
\(30\) | 2.72051 | + | 6.44411i | 0.496694 | + | 1.17653i | ||||
\(31\) | 0.339014 | − | 0.284467i | 0.0608888 | − | 0.0510918i | −0.611835 | − | 0.790985i | \(-0.709569\pi\) |
0.672724 | + | 0.739893i | \(0.265124\pi\) | |||||||
\(32\) | 0.173648 | + | 0.984808i | 0.0306970 | + | 0.174091i | ||||
\(33\) | −0.953258 | + | 3.09631i | −0.165941 | + | 0.538998i | ||||
\(34\) | 4.45244 | + | 3.73604i | 0.763587 | + | 0.640726i | ||||
\(35\) | 2.01923 | − | 3.49741i | 0.341313 | − | 0.591171i | ||||
\(36\) | 2.70150 | − | 1.30456i | 0.450251 | − | 0.217427i | ||||
\(37\) | 5.61042 | + | 9.71753i | 0.922347 | + | 1.59755i | 0.795774 | + | 0.605594i | \(0.207065\pi\) |
0.126573 | + | 0.991957i | \(0.459602\pi\) | |||||||
\(38\) | −1.00660 | + | 5.70871i | −0.163292 | + | 0.926075i | ||||
\(39\) | 0.220814 | + | 0.113054i | 0.0353585 | + | 0.0181032i | ||||
\(40\) | 3.79492 | + | 1.38124i | 0.600029 | + | 0.218393i | ||||
\(41\) | −5.19951 | − | 1.89247i | −0.812027 | − | 0.295554i | −0.0975659 | − | 0.995229i | \(-0.531106\pi\) |
−0.714461 | + | 0.699676i | \(0.753328\pi\) | |||||||
\(42\) | −1.54173 | − | 0.789350i | −0.237894 | − | 0.121799i | ||||
\(43\) | −1.36463 | + | 7.73918i | −0.208103 | + | 1.18021i | 0.684377 | + | 0.729128i | \(0.260074\pi\) |
−0.892481 | + | 0.451085i | \(0.851037\pi\) | |||||||
\(44\) | 0.935228 | + | 1.61986i | 0.140991 | + | 0.244203i | ||||
\(45\) | 0.892373 | − | 12.0825i | 0.133027 | − | 1.80115i | ||||
\(46\) | −2.50726 | + | 4.34271i | −0.369676 | + | 0.640297i | ||||
\(47\) | 0.648941 | + | 0.544526i | 0.0946578 | + | 0.0794273i | 0.688889 | − | 0.724867i | \(-0.258099\pi\) |
−0.594231 | + | 0.804295i | \(0.702543\pi\) | |||||||
\(48\) | 0.509640 | − | 1.65538i | 0.0735601 | − | 0.238933i | ||||
\(49\) | 0.173648 | + | 0.984808i | 0.0248069 | + | 0.140687i | ||||
\(50\) | 8.66336 | − | 7.26942i | 1.22518 | − | 1.02805i | ||||
\(51\) | −3.91541 | − | 9.27449i | −0.548267 | − | 1.29869i | ||||
\(52\) | 0.134587 | − | 0.0489857i | 0.0186639 | − | 0.00679310i | ||||
\(53\) | 1.33744 | 0.183712 | 0.0918559 | − | 0.995772i | \(-0.470720\pi\) | ||||
0.0918559 | + | 0.995772i | \(0.470720\pi\) | |||||||
\(54\) | −5.19474 | − | 0.121152i | −0.706915 | − | 0.0164867i | ||||
\(55\) | 7.55377 | 1.01855 | ||||||||
\(56\) | −0.939693 | + | 0.342020i | −0.125572 | + | 0.0457044i | ||||
\(57\) | 6.05807 | − | 8.00672i | 0.802411 | − | 1.06052i | ||||
\(58\) | −0.747706 | + | 0.627400i | −0.0981786 | + | 0.0823817i | ||||
\(59\) | 1.11071 | + | 6.29914i | 0.144602 | + | 0.820078i | 0.967686 | + | 0.252158i | \(0.0811404\pi\) |
−0.823084 | + | 0.567919i | \(0.807749\pi\) | |||||||
\(60\) | −4.76045 | − | 5.12501i | −0.614572 | − | 0.661636i | ||||
\(61\) | −3.40242 | − | 2.85497i | −0.435635 | − | 0.365542i | 0.398438 | − | 0.917195i | \(-0.369553\pi\) |
−0.834073 | + | 0.551654i | \(0.813997\pi\) | |||||||
\(62\) | −0.221276 | + | 0.383261i | −0.0281021 | + | 0.0486742i | ||||
\(63\) | 1.75385 | + | 2.43393i | 0.220965 | + | 0.306646i | ||||
\(64\) | −0.500000 | − | 0.866025i | −0.0625000 | − | 0.108253i | ||||
\(65\) | 0.100439 | − | 0.569621i | 0.0124580 | − | 0.0706527i | ||||
\(66\) | −0.163229 | − | 3.23561i | −0.0200921 | − | 0.398276i | ||||
\(67\) | −10.4707 | − | 3.81104i | −1.27920 | − | 0.465592i | −0.389036 | − | 0.921223i | \(-0.627192\pi\) |
−0.890169 | + | 0.455630i | \(0.849414\pi\) | |||||||
\(68\) | −5.46173 | − | 1.98791i | −0.662331 | − | 0.241069i | ||||
\(69\) | 7.29344 | − | 4.71617i | 0.878027 | − | 0.567760i | ||||
\(70\) | −0.701272 | + | 3.97711i | −0.0838181 | + | 0.475356i | ||||
\(71\) | 8.19790 | + | 14.1992i | 0.972912 | + | 1.68513i | 0.686660 | + | 0.726978i | \(0.259076\pi\) |
0.286252 | + | 0.958154i | \(0.407591\pi\) | |||||||
\(72\) | −2.09240 | + | 2.14986i | −0.246591 | + | 0.253363i | ||||
\(73\) | −2.37122 | + | 4.10707i | −0.277530 | + | 0.480696i | −0.970770 | − | 0.240011i | \(-0.922849\pi\) |
0.693240 | + | 0.720706i | \(0.256182\pi\) | |||||||
\(74\) | −8.59566 | − | 7.21261i | −0.999225 | − | 0.838449i | ||||
\(75\) | −19.0947 | + | 4.36905i | −2.20486 | + | 0.504495i | ||||
\(76\) | −1.00660 | − | 5.70871i | −0.115465 | − | 0.654834i | ||||
\(77\) | −1.43285 | + | 1.20231i | −0.163289 | + | 0.137015i | ||||
\(78\) | −0.246164 | − | 0.0307137i | −0.0278726 | − | 0.00347764i | ||||
\(79\) | 13.0798 | − | 4.76064i | 1.47159 | − | 0.535614i | 0.523056 | − | 0.852298i | \(-0.324792\pi\) |
0.948531 | + | 0.316684i | \(0.102570\pi\) | |||||||
\(80\) | −4.03847 | −0.451514 | ||||||||
\(81\) | 7.91325 | + | 4.28725i | 0.879250 | + | 0.476361i | ||||
\(82\) | 5.53320 | 0.611040 | ||||||||
\(83\) | −5.71616 | + | 2.08051i | −0.627430 | + | 0.228366i | −0.636113 | − | 0.771596i | \(-0.719459\pi\) |
0.00868210 | + | 0.999962i | \(0.497236\pi\) | |||||||
\(84\) | 1.71872 | + | 0.214444i | 0.187528 | + | 0.0233978i | ||||
\(85\) | −17.9810 | + | 15.0879i | −1.95032 | + | 1.63651i | ||||
\(86\) | −1.36463 | − | 7.73918i | −0.147151 | − | 0.834537i | ||||
\(87\) | 1.64800 | − | 0.377079i | 0.176684 | − | 0.0404271i | ||||
\(88\) | −1.43285 | − | 1.20231i | −0.152743 | − | 0.128166i | ||||
\(89\) | −7.33655 | + | 12.7073i | −0.777672 | + | 1.34697i | 0.155608 | + | 0.987819i | \(0.450266\pi\) |
−0.933280 | + | 0.359149i | \(0.883067\pi\) | |||||||
\(90\) | 3.29390 | + | 11.6590i | 0.347207 | + | 1.22897i | ||||
\(91\) | 0.0716123 | + | 0.124036i | 0.00750701 | + | 0.0130025i | ||||
\(92\) | 0.870764 | − | 4.93835i | 0.0907834 | − | 0.514858i | ||||
\(93\) | 0.643675 | − | 0.416220i | 0.0667459 | − | 0.0431601i | ||||
\(94\) | −0.796044 | − | 0.289736i | −0.0821057 | − | 0.0298840i | ||||
\(95\) | −21.9983 | − | 8.00672i | −2.25698 | − | 0.821472i | ||||
\(96\) | 0.0872671 | + | 1.72985i | 0.00890667 | + | 0.176552i | ||||
\(97\) | 1.20884 | − | 6.85567i | 0.122739 | − | 0.696087i | −0.859886 | − | 0.510486i | \(-0.829466\pi\) |
0.982625 | − | 0.185601i | \(-0.0594233\pi\) | |||||||
\(98\) | −0.500000 | − | 0.866025i | −0.0505076 | − | 0.0874818i | ||||
\(99\) | −2.30237 | + | 5.11728i | −0.231397 | + | 0.514306i | ||||
\(100\) | −5.65461 | + | 9.79407i | −0.565461 | + | 0.979407i | ||||
\(101\) | 3.99434 | + | 3.35165i | 0.397452 | + | 0.333501i | 0.819508 | − | 0.573068i | \(-0.194247\pi\) |
−0.422056 | + | 0.906570i | \(0.638691\pi\) | |||||||
\(102\) | 6.85134 | + | 7.37602i | 0.678384 | + | 0.730335i | ||||
\(103\) | 0.871428 | + | 4.94211i | 0.0858644 | + | 0.486961i | 0.997167 | + | 0.0752232i | \(0.0239669\pi\) |
−0.911302 | + | 0.411738i | \(0.864922\pi\) | |||||||
\(104\) | −0.109716 | + | 0.0920630i | −0.0107586 | + | 0.00902752i | ||||
\(105\) | 4.22051 | − | 5.57808i | 0.411879 | − | 0.544365i | ||||
\(106\) | −1.25678 | + | 0.457432i | −0.122070 | + | 0.0444297i | ||||
\(107\) | −14.2271 | −1.37538 | −0.687690 | − | 0.726004i | \(-0.741375\pi\) | ||||
−0.687690 | + | 0.726004i | \(0.741375\pi\) | |||||||
\(108\) | 4.92290 | − | 1.66286i | 0.473706 | − | 0.160009i | ||||
\(109\) | 1.65651 | 0.158665 | 0.0793324 | − | 0.996848i | \(-0.474721\pi\) | ||||
0.0793324 | + | 0.996848i | \(0.474721\pi\) | |||||||
\(110\) | −7.09823 | + | 2.58354i | −0.676789 | + | 0.246331i | ||||
\(111\) | 7.55889 | + | 17.9049i | 0.717458 | + | 1.69946i | ||||
\(112\) | 0.766044 | − | 0.642788i | 0.0723844 | − | 0.0607377i | ||||
\(113\) | 2.26304 | + | 12.8343i | 0.212889 | + | 1.20735i | 0.884533 | + | 0.466478i | \(0.154477\pi\) |
−0.671644 | + | 0.740874i | \(0.734411\pi\) | |||||||
\(114\) | −2.95427 | + | 9.59584i | −0.276692 | + | 0.898733i | ||||
\(115\) | −15.5132 | − | 13.0171i | −1.44661 | − | 1.21385i | ||||
\(116\) | 0.488031 | − | 0.845294i | 0.0453125 | − | 0.0784836i | ||||
\(117\) | 0.355274 | + | 0.241661i | 0.0328451 | + | 0.0223416i | ||||
\(118\) | −3.19816 | − | 5.53937i | −0.294414 | − | 0.509940i | ||||
\(119\) | 1.00929 | − | 5.72395i | 0.0925211 | − | 0.524713i | ||||
\(120\) | 6.22622 | + | 3.18776i | 0.568373 | + | 0.291002i | ||||
\(121\) | 7.04901 | + | 2.56563i | 0.640819 | + | 0.233239i | ||||
\(122\) | 4.17369 | + | 1.51910i | 0.377868 | + | 0.137533i | ||||
\(123\) | −8.53069 | − | 4.36763i | −0.769187 | − | 0.393816i | ||||
\(124\) | 0.0768483 | − | 0.435828i | 0.00690118 | − | 0.0391386i | ||||
\(125\) | 12.7398 | + | 22.0659i | 1.13948 | + | 1.97364i | ||||
\(126\) | −2.48053 | − | 1.68729i | −0.220984 | − | 0.150316i | ||||
\(127\) | 8.54778 | − | 14.8052i | 0.758492 | − | 1.31375i | −0.185127 | − | 0.982715i | \(-0.559270\pi\) |
0.943619 | − | 0.331033i | \(-0.107397\pi\) | |||||||
\(128\) | 0.766044 | + | 0.642788i | 0.0677094 | + | 0.0568149i | ||||
\(129\) | −4.00504 | + | 13.0089i | −0.352624 | + | 1.14537i | ||||
\(130\) | 0.100439 | + | 0.569621i | 0.00880913 | + | 0.0499590i | ||||
\(131\) | 1.67327 | − | 1.40404i | 0.146194 | − | 0.122671i | −0.566757 | − | 0.823885i | \(-0.691802\pi\) |
0.712952 | + | 0.701213i | \(0.247358\pi\) | |||||||
\(132\) | 1.26003 | + | 2.98465i | 0.109671 | + | 0.259781i | ||||
\(133\) | 5.44719 | − | 1.98261i | 0.472331 | − | 0.171914i | ||||
\(134\) | 11.1427 | 0.962585 | ||||||||
\(135\) | 4.12476 | − | 20.5751i | 0.355003 | − | 1.77082i | ||||
\(136\) | 5.81225 | 0.498396 | ||||||||
\(137\) | 5.13665 | − | 1.86959i | 0.438854 | − | 0.159730i | −0.113138 | − | 0.993579i | \(-0.536090\pi\) |
0.551992 | + | 0.833850i | \(0.313868\pi\) | |||||||
\(138\) | −5.24056 | + | 6.92625i | −0.446106 | + | 0.589602i | ||||
\(139\) | −0.950055 | + | 0.797190i | −0.0805826 | + | 0.0676168i | −0.682189 | − | 0.731176i | \(-0.738972\pi\) |
0.601607 | + | 0.798793i | \(0.294528\pi\) | |||||||
\(140\) | −0.701272 | − | 3.97711i | −0.0592683 | − | 0.336127i | ||||
\(141\) | 0.998581 | + | 1.07505i | 0.0840957 | + | 0.0905357i | ||||
\(142\) | −12.5599 | − | 10.5390i | −1.05400 | − | 0.884415i | ||||
\(143\) | −0.133948 | + | 0.232004i | −0.0112013 | + | 0.0194012i | ||||
\(144\) | 1.23092 | − | 2.73584i | 0.102576 | − | 0.227987i | ||||
\(145\) | −1.97090 | − | 3.41369i | −0.163674 | − | 0.283492i | ||||
\(146\) | 0.823515 | − | 4.67038i | 0.0681546 | − | 0.386524i | ||||
\(147\) | 0.0872671 | + | 1.72985i | 0.00719767 | + | 0.142676i | ||||
\(148\) | 10.5441 | + | 3.83775i | 0.866723 | + | 0.315461i | ||||
\(149\) | −10.0097 | − | 3.64323i | −0.820026 | − | 0.298465i | −0.102267 | − | 0.994757i | \(-0.532610\pi\) |
−0.717759 | + | 0.696292i | \(0.754832\pi\) | |||||||
\(150\) | 16.4488 | − | 10.6363i | 1.34304 | − | 0.868453i | ||||
\(151\) | 0.698196 | − | 3.95966i | 0.0568184 | − | 0.322233i | −0.943130 | − | 0.332425i | \(-0.892133\pi\) |
0.999948 | + | 0.0101921i | \(0.00324429\pi\) | |||||||
\(152\) | 2.89839 | + | 5.02016i | 0.235090 | + | 0.407188i | ||||
\(153\) | −4.74065 | − | 16.7799i | −0.383259 | − | 1.35658i | ||||
\(154\) | 0.935228 | − | 1.61986i | 0.0753628 | − | 0.130532i | ||||
\(155\) | −1.36910 | − | 1.14881i | −0.109969 | − | 0.0922746i | ||||
\(156\) | 0.241823 | − | 0.0553315i | 0.0193613 | − | 0.00443007i | ||||
\(157\) | 3.04833 | + | 17.2879i | 0.243283 | + | 1.37973i | 0.824446 | + | 0.565941i | \(0.191487\pi\) |
−0.581163 | + | 0.813787i | \(0.697402\pi\) | |||||||
\(158\) | −10.6627 | + | 8.94708i | −0.848280 | + | 0.711791i | ||||
\(159\) | 2.29869 | + | 0.286807i | 0.182298 | + | 0.0227452i | ||||
\(160\) | 3.79492 | − | 1.38124i | 0.300015 | − | 0.109196i | ||||
\(161\) | 5.01453 | 0.395200 | ||||||||
\(162\) | −8.90235 | − | 1.32221i | −0.699434 | − | 0.103882i | ||||
\(163\) | −19.5981 | −1.53504 | −0.767520 | − | 0.641025i | \(-0.778510\pi\) | ||||
−0.767520 | + | 0.641025i | \(0.778510\pi\) | |||||||
\(164\) | −5.19951 | + | 1.89247i | −0.406013 | + | 0.147777i | ||||
\(165\) | 12.9829 | + | 1.61986i | 1.01071 | + | 0.126106i | ||||
\(166\) | 4.65986 | − | 3.91009i | 0.361675 | − | 0.303482i | ||||
\(167\) | −1.89828 | − | 10.7657i | −0.146893 | − | 0.833072i | −0.965828 | − | 0.259185i | \(-0.916546\pi\) |
0.818935 | − | 0.573887i | \(-0.194565\pi\) | |||||||
\(168\) | −1.68842 | + | 0.386327i | −0.130264 | + | 0.0298058i | ||||
\(169\) | −9.94286 | − | 8.34305i | −0.764836 | − | 0.641773i | ||||
\(170\) | 11.7363 | − | 20.3278i | 0.900132 | − | 1.55907i | ||||
\(171\) | 12.1292 | − | 12.4622i | 0.927539 | − | 0.953010i | ||||
\(172\) | 3.92928 | + | 6.80572i | 0.299605 | + | 0.518931i | ||||
\(173\) | −0.350017 | + | 1.98504i | −0.0266113 | + | 0.150920i | −0.995218 | − | 0.0976776i | \(-0.968859\pi\) |
0.968607 | + | 0.248598i | \(0.0799697\pi\) | |||||||
\(174\) | −1.41964 | + | 0.917987i | −0.107623 | + | 0.0695924i | ||||
\(175\) | −10.6272 | − | 3.86798i | −0.803340 | − | 0.292392i | ||||
\(176\) | 1.75765 | + | 0.639734i | 0.132488 | + | 0.0482217i | ||||
\(177\) | 0.558188 | + | 11.0647i | 0.0419560 | + | 0.831671i | ||||
\(178\) | 2.54796 | − | 14.4502i | 0.190977 | − | 1.08309i | ||||
\(179\) | 5.26387 | + | 9.11729i | 0.393440 | + | 0.681458i | 0.992901 | − | 0.118946i | \(-0.0379515\pi\) |
−0.599461 | + | 0.800404i | \(0.704618\pi\) | |||||||
\(180\) | −7.08288 | − | 9.82933i | −0.527927 | − | 0.732635i | ||||
\(181\) | 13.3805 | − | 23.1756i | 0.994562 | − | 1.72263i | 0.407085 | − | 0.913390i | \(-0.366545\pi\) |
0.587476 | − | 0.809241i | \(-0.300122\pi\) | |||||||
\(182\) | −0.109716 | − | 0.0920630i | −0.00813272 | − | 0.00682417i | ||||
\(183\) | −5.23559 | − | 5.63654i | −0.387026 | − | 0.416665i | ||||
\(184\) | 0.870764 | + | 4.93835i | 0.0641935 | + | 0.364060i | ||||
\(185\) | 34.7133 | − | 29.1279i | 2.55217 | − | 2.14153i | ||||
\(186\) | −0.462500 | + | 0.611269i | −0.0339122 | + | 0.0448204i | ||||
\(187\) | 10.2159 | − | 3.71829i | 0.747062 | − | 0.271908i | ||||
\(188\) | 0.847133 | 0.0617835 | ||||||||
\(189\) | 2.49245 | + | 4.55935i | 0.181299 | + | 0.331644i | ||||
\(190\) | 23.4101 | 1.69835 | ||||||||
\(191\) | 0.349848 | − | 0.127334i | 0.0253141 | − | 0.00921358i | −0.329332 | − | 0.944214i | \(-0.606824\pi\) |
0.354646 | + | 0.935001i | \(0.384601\pi\) | |||||||
\(192\) | −0.673648 | − | 1.59568i | −0.0486164 | − | 0.115158i | ||||
\(193\) | −20.4027 | + | 17.1199i | −1.46862 | + | 1.23232i | −0.551210 | + | 0.834366i | \(0.685834\pi\) |
−0.917407 | + | 0.397950i | \(0.869722\pi\) | |||||||
\(194\) | 1.20884 | + | 6.85567i | 0.0867896 | + | 0.492208i | ||||
\(195\) | 0.294780 | − | 0.957482i | 0.0211096 | − | 0.0685667i | ||||
\(196\) | 0.766044 | + | 0.642788i | 0.0547175 | + | 0.0459134i | ||||
\(197\) | −3.00912 | + | 5.21195i | −0.214391 | + | 0.371336i | −0.953084 | − | 0.302706i | \(-0.902110\pi\) |
0.738693 | + | 0.674042i | \(0.235443\pi\) | |||||||
\(198\) | 0.413311 | − | 5.59613i | 0.0293727 | − | 0.397699i | ||||
\(199\) | 3.78279 | + | 6.55198i | 0.268155 | + | 0.464458i | 0.968385 | − | 0.249459i | \(-0.0802528\pi\) |
−0.700231 | + | 0.713917i | \(0.746919\pi\) | |||||||
\(200\) | 1.96382 | − | 11.1374i | 0.138863 | − | 0.787533i | ||||
\(201\) | −17.1791 | − | 8.79551i | −1.21172 | − | 0.620388i | ||||
\(202\) | −4.89978 | − | 1.78337i | −0.344747 | − | 0.125478i | ||||
\(203\) | 0.917198 | + | 0.333833i | 0.0643746 | + | 0.0234305i | ||||
\(204\) | −8.96091 | − | 4.58790i | −0.627389 | − | 0.321217i | ||||
\(205\) | −3.88028 | + | 22.0062i | −0.271011 | + | 1.53698i | ||||
\(206\) | −2.50918 | − | 4.34602i | −0.174823 | − | 0.302802i | ||||
\(207\) | 13.5468 | − | 6.54176i | 0.941565 | − | 0.454684i | ||||
\(208\) | 0.0716123 | − | 0.124036i | 0.00496542 | − | 0.00860036i | ||||
\(209\) | 8.30592 | + | 6.96950i | 0.574533 | + | 0.482090i | ||||
\(210\) | −2.05816 | + | 6.68518i | −0.142027 | + | 0.461321i | ||||
\(211\) | −3.25946 | − | 18.4853i | −0.224390 | − | 1.27258i | −0.863847 | − | 0.503754i | \(-0.831952\pi\) |
0.639457 | − | 0.768827i | \(-0.279159\pi\) | |||||||
\(212\) | 1.02454 | − | 0.859691i | 0.0703657 | − | 0.0590438i | ||||
\(213\) | 11.0450 | + | 26.1625i | 0.756791 | + | 1.79262i | ||||
\(214\) | 13.3691 | − | 4.86594i | 0.913890 | − | 0.332629i | ||||
\(215\) | 31.7366 | 2.16442 | ||||||||
\(216\) | −4.05728 | + | 3.24631i | −0.276063 | + | 0.220883i | ||||
\(217\) | 0.442552 | 0.0300424 | ||||||||
\(218\) | −1.55661 | + | 0.566560i | −0.105427 | + | 0.0383723i | ||||
\(219\) | −4.95620 | + | 6.55042i | −0.334909 | + | 0.442637i | ||||
\(220\) | 5.78653 | − | 4.85547i | 0.390128 | − | 0.327356i | ||||
\(221\) | −0.144555 | − | 0.819810i | −0.00972380 | − | 0.0551464i | ||||
\(222\) | −13.2269 | − | 14.2398i | −0.887729 | − | 0.955712i | ||||
\(223\) | 2.99149 | + | 2.51016i | 0.200325 | + | 0.168093i | 0.737432 | − | 0.675422i | \(-0.236038\pi\) |
−0.537107 | + | 0.843514i | \(0.680483\pi\) | |||||||
\(224\) | −0.500000 | + | 0.866025i | −0.0334077 | + | 0.0578638i | ||||
\(225\) | −33.7554 | + | 3.41446i | −2.25036 | + | 0.227631i | ||||
\(226\) | −6.51616 | − | 11.2863i | −0.433449 | − | 0.750755i | ||||
\(227\) | −2.37421 | + | 13.4648i | −0.157582 | + | 0.893690i | 0.798806 | + | 0.601589i | \(0.205465\pi\) |
−0.956387 | + | 0.292101i | \(0.905646\pi\) | |||||||
\(228\) | −0.505868 | − | 10.0276i | −0.0335019 | − | 0.664091i | ||||
\(229\) | −4.27135 | − | 1.55464i | −0.282259 | − | 0.102734i | 0.197012 | − | 0.980401i | \(-0.436876\pi\) |
−0.479270 | + | 0.877667i | \(0.659099\pi\) | |||||||
\(230\) | 19.0297 | + | 6.92625i | 1.25478 | + | 0.456703i | ||||
\(231\) | −2.72051 | + | 1.75917i | −0.178996 | + | 0.115745i | ||||
\(232\) | −0.169491 | + | 0.961233i | −0.0111276 | + | 0.0631080i | ||||
\(233\) | 13.5384 | + | 23.4492i | 0.886931 | + | 1.53621i | 0.843484 | + | 0.537154i | \(0.180500\pi\) |
0.0434464 | + | 0.999056i | \(0.486166\pi\) | |||||||
\(234\) | −0.416501 | − | 0.105577i | −0.0272275 | − | 0.00690177i | ||||
\(235\) | 1.71056 | − | 2.96277i | 0.111585 | − | 0.193270i | ||||
\(236\) | 4.89986 | + | 4.11147i | 0.318954 | + | 0.267634i | ||||
\(237\) | 23.5014 | − | 5.37735i | 1.52658 | − | 0.349297i | ||||
\(238\) | 1.00929 | + | 5.72395i | 0.0654223 | + | 0.371028i | ||||
\(239\) | 1.40909 | − | 1.18237i | 0.0911467 | − | 0.0764812i | −0.596076 | − | 0.802928i | \(-0.703274\pi\) |
0.687222 | + | 0.726447i | \(0.258830\pi\) | |||||||
\(240\) | −6.94101 | − | 0.866025i | −0.448040 | − | 0.0559017i | ||||
\(241\) | 13.9391 | − | 5.07340i | 0.897893 | − | 0.326806i | 0.148485 | − | 0.988915i | \(-0.452560\pi\) |
0.749408 | + | 0.662108i | \(0.230338\pi\) | |||||||
\(242\) | −7.50139 | −0.482208 | ||||||||
\(243\) | 12.6813 | + | 9.06555i | 0.813507 | + | 0.581555i | ||||
\(244\) | −4.44155 | −0.284341 | ||||||||
\(245\) | 3.79492 | − | 1.38124i | 0.242448 | − | 0.0882440i | ||||
\(246\) | 9.51005 | + | 1.18656i | 0.606338 | + | 0.0756524i | ||||
\(247\) | 0.636002 | − | 0.533669i | 0.0404678 | − | 0.0339565i | ||||
\(248\) | 0.0768483 | + | 0.435828i | 0.00487987 | + | 0.0276751i | ||||
\(249\) | −10.2707 | + | 2.35003i | −0.650877 | + | 0.148927i | ||||
\(250\) | −19.5185 | − | 16.3779i | −1.23446 | − | 1.03583i | ||||
\(251\) | 8.95502 | − | 15.5106i | 0.565236 | − | 0.979018i | −0.431792 | − | 0.901973i | \(-0.642118\pi\) |
0.997028 | − | 0.0770443i | \(-0.0245483\pi\) | |||||||
\(252\) | 2.90803 | + | 0.737141i | 0.183189 | + | 0.0464355i | ||||
\(253\) | 4.68973 | + | 8.12284i | 0.294841 | + | 0.510679i | ||||
\(254\) | −2.96861 | + | 16.8358i | −0.186267 | + | 1.05637i | ||||
\(255\) | −34.1399 | + | 22.0760i | −2.13793 | + | 1.38245i | ||||
\(256\) | −0.939693 | − | 0.342020i | −0.0587308 | − | 0.0213763i | ||||
\(257\) | 26.9143 | + | 9.79601i | 1.67887 | + | 0.611058i | 0.993154 | − | 0.116812i | \(-0.0372675\pi\) |
0.685715 | + | 0.727870i | \(0.259490\pi\) | |||||||
\(258\) | −0.685795 | − | 13.5941i | −0.0426957 | − | 0.846335i | ||||
\(259\) | −1.94848 | + | 11.0504i | −0.121072 | + | 0.686636i | ||||
\(260\) | −0.289204 | − | 0.500916i | −0.0179357 | − | 0.0310655i | ||||
\(261\) | 2.91332 | − | 0.294691i | 0.180330 | − | 0.0182409i | ||||
\(262\) | −1.09215 | + | 1.89166i | −0.0674732 | + | 0.116867i | ||||
\(263\) | −19.2683 | − | 16.1680i | −1.18813 | − | 0.996961i | −0.999890 | − | 0.0148386i | \(-0.995277\pi\) |
−0.188242 | − | 0.982123i | \(-0.560279\pi\) | |||||||
\(264\) | −2.20485 | − | 2.37370i | −0.135699 | − | 0.146091i | ||||
\(265\) | −0.937911 | − | 5.31916i | −0.0576154 | − | 0.326753i | ||||
\(266\) | −4.44059 | + | 3.72610i | −0.272270 | + | 0.228462i | ||||
\(267\) | −15.3345 | + | 20.2670i | −0.938456 | + | 1.24032i | ||||
\(268\) | −10.4707 | + | 3.81104i | −0.639602 | + | 0.232796i | ||||
\(269\) | −18.8481 | −1.14919 | −0.574595 | − | 0.818438i | \(-0.694840\pi\) | ||||
−0.574595 | + | 0.818438i | \(0.694840\pi\) | |||||||
\(270\) | 3.16109 | + | 20.7450i | 0.192378 | + | 1.26250i | ||||
\(271\) | −8.29592 | −0.503941 | −0.251971 | − | 0.967735i | \(-0.581079\pi\) | ||||
−0.251971 | + | 0.967735i | \(0.581079\pi\) | |||||||
\(272\) | −5.46173 | + | 1.98791i | −0.331166 | + | 0.120534i | ||||
\(273\) | 0.0964830 | + | 0.228541i | 0.00583942 | + | 0.0138319i | ||||
\(274\) | −4.18744 | + | 3.51368i | −0.252972 | + | 0.212269i | ||||
\(275\) | −3.67325 | − | 20.8320i | −0.221505 | − | 1.25622i | ||||
\(276\) | 2.55560 | − | 8.30093i | 0.153829 | − | 0.499657i | ||||
\(277\) | −12.7031 | − | 10.6592i | −0.763255 | − | 0.640447i | 0.175717 | − | 0.984441i | \(-0.443776\pi\) |
−0.938972 | + | 0.343994i | \(0.888220\pi\) | |||||||
\(278\) | 0.620104 | − | 1.07405i | 0.0371914 | − | 0.0644173i | ||||
\(279\) | 1.19556 | − | 0.577336i | 0.0715760 | − | 0.0345642i | ||||
\(280\) | 2.01923 | + | 3.49741i | 0.120672 | + | 0.209011i | ||||
\(281\) | 5.17006 | − | 29.3209i | 0.308420 | − | 1.74914i | −0.298534 | − | 0.954399i | \(-0.596498\pi\) |
0.606954 | − | 0.794737i | \(-0.292391\pi\) | |||||||
\(282\) | −1.30605 | − | 0.668684i | −0.0777741 | − | 0.0398196i | ||||
\(283\) | 15.4418 | + | 5.62035i | 0.917919 | + | 0.334095i | 0.757410 | − | 0.652939i | \(-0.226464\pi\) |
0.160509 | + | 0.987034i | \(0.448687\pi\) | |||||||
\(284\) | 15.4070 | + | 5.60770i | 0.914238 | + | 0.332755i | ||||
\(285\) | −36.0920 | − | 18.4787i | −2.13791 | − | 1.09459i | ||||
\(286\) | 0.0465195 | − | 0.263825i | 0.00275076 | − | 0.0156003i | ||||
\(287\) | −2.76660 | − | 4.79189i | −0.163307 | − | 0.282856i | ||||
\(288\) | −0.220968 | + | 2.99185i | −0.0130207 | + | 0.176297i | ||||
\(289\) | −8.39111 | + | 14.5338i | −0.493594 | + | 0.854931i | ||||
\(290\) | 3.01959 | + | 2.53373i | 0.177316 | + | 0.148786i | ||||
\(291\) | 3.54782 | − | 11.5238i | 0.207977 | − | 0.675535i | ||||
\(292\) | 0.823515 | + | 4.67038i | 0.0481926 | + | 0.273314i | ||||
\(293\) | −9.29473 | + | 7.79920i | −0.543004 | + | 0.455634i | −0.872564 | − | 0.488500i | \(-0.837544\pi\) |
0.329560 | + | 0.944135i | \(0.393100\pi\) | |||||||
\(294\) | −0.673648 | − | 1.59568i | −0.0392880 | − | 0.0930620i | ||||
\(295\) | 24.2735 | − | 8.83482i | 1.41326 | − | 0.514383i | ||||
\(296\) | −11.2208 | −0.652198 | ||||||||
\(297\) | −5.05451 | + | 8.30146i | −0.293293 | + | 0.481700i | ||||
\(298\) | 10.6521 | 0.617059 | ||||||||
\(299\) | 0.674891 | − | 0.245640i | 0.0390300 | − | 0.0142057i | ||||
\(300\) | −11.8190 | + | 15.6207i | −0.682370 | + | 0.901862i | ||||
\(301\) | −6.02001 | + | 5.05139i | −0.346988 | + | 0.291157i | ||||
\(302\) | 0.698196 | + | 3.95966i | 0.0401766 | + | 0.227853i | ||||
\(303\) | 6.14643 | + | 6.61712i | 0.353103 | + | 0.380144i | ||||
\(304\) | −4.44059 | − | 3.72610i | −0.254685 | − | 0.213706i | ||||
\(305\) | −8.96852 | + | 15.5339i | −0.513536 | + | 0.889470i | ||||
\(306\) | 10.1938 | + | 14.1466i | 0.582742 | + | 0.808706i | ||||
\(307\) | −11.6331 | − | 20.1491i | −0.663935 | − | 1.14997i | −0.979573 | − | 0.201090i | \(-0.935552\pi\) |
0.315637 | − | 0.948880i | \(-0.397782\pi\) | |||||||
\(308\) | −0.324801 | + | 1.84204i | −0.0185073 | + | 0.104960i | ||||
\(309\) | 0.437937 | + | 8.68101i | 0.0249134 | + | 0.493845i | ||||
\(310\) | 1.67945 | + | 0.611269i | 0.0953862 | + | 0.0347177i | ||||
\(311\) | −1.26459 | − | 0.460273i | −0.0717083 | − | 0.0260997i | 0.305917 | − | 0.952058i | \(-0.401037\pi\) |
−0.377625 | + | 0.925959i | \(0.623259\pi\) | |||||||
\(312\) | −0.208315 | + | 0.134703i | −0.0117935 | + | 0.00762605i | ||||
\(313\) | 3.31953 | − | 18.8260i | 0.187631 | − | 1.06411i | −0.734897 | − | 0.678179i | \(-0.762770\pi\) |
0.922528 | − | 0.385930i | \(-0.126119\pi\) | |||||||
\(314\) | −8.77732 | − | 15.2028i | −0.495333 | − | 0.857942i | ||||
\(315\) | 8.45007 | − | 8.68212i | 0.476108 | − | 0.489182i | ||||
\(316\) | 6.95959 | − | 12.0544i | 0.391508 | − | 0.678111i | ||||
\(317\) | −8.44115 | − | 7.08296i | −0.474102 | − | 0.397819i | 0.374186 | − | 0.927354i | \(-0.377922\pi\) |
−0.848288 | + | 0.529535i | \(0.822367\pi\) | |||||||
\(318\) | −2.25816 | + | 0.516690i | −0.126631 | + | 0.0289745i | ||||
\(319\) | 0.317026 | + | 1.79794i | 0.0177500 | + | 0.100665i | ||||
\(320\) | −3.09365 | + | 2.59588i | −0.172940 | + | 0.145114i | ||||
\(321\) | −24.4524 | − | 3.05091i | −1.36480 | − | 0.170285i | ||||
\(322\) | −4.71211 | + | 1.71507i | −0.262596 | + | 0.0955771i | ||||
\(323\) | −33.6923 | −1.87469 | ||||||||
\(324\) | 8.81769 | − | 1.80231i | 0.489872 | − | 0.100128i | ||||
\(325\) | −1.61976 | −0.0898480 | ||||||||
\(326\) | 18.4162 | − | 6.70294i | 1.01998 | − | 0.371242i | ||||
\(327\) | 2.84708 | + | 0.355229i | 0.157444 | + | 0.0196442i | ||||
\(328\) | 4.23868 | − | 3.55667i | 0.234042 | − | 0.196384i | ||||
\(329\) | 0.147103 | + | 0.834263i | 0.00811005 | + | 0.0459944i | ||||
\(330\) | −12.7539 | + | 2.91823i | −0.702080 | + | 0.160643i | ||||
\(331\) | 7.80619 | + | 6.55017i | 0.429067 | + | 0.360030i | 0.831600 | − | 0.555376i | \(-0.187426\pi\) |
−0.402533 | + | 0.915406i | \(0.631870\pi\) | |||||||
\(332\) | −3.04151 | + | 5.26804i | −0.166924 | + | 0.289121i | ||||
\(333\) | 9.15206 | + | 32.3945i | 0.501530 | + | 1.77521i | ||||
\(334\) | 5.46587 | + | 9.46716i | 0.299079 | + | 0.518020i | ||||
\(335\) | −7.81409 | + | 44.3159i | −0.426929 | + | 2.42124i | ||||
\(336\) | 1.45446 | − | 0.940501i | 0.0793474 | − | 0.0513085i | ||||
\(337\) | −8.83173 | − | 3.21449i | −0.481095 | − | 0.175104i | 0.0900766 | − | 0.995935i | \(-0.471289\pi\) |
−0.571172 | + | 0.820830i | \(0.693511\pi\) | |||||||
\(338\) | 12.1967 | + | 4.43925i | 0.663415 | + | 0.241463i | ||||
\(339\) | 1.13729 | + | 22.5440i | 0.0617693 | + | 1.22442i | ||||
\(340\) | −4.07597 | + | 23.1160i | −0.221050 | + | 1.25364i | ||||
\(341\) | 0.413887 | + | 0.716873i | 0.0224132 | + | 0.0388209i | ||||
\(342\) | −7.13534 | + | 15.8591i | −0.385835 | + | 0.857561i | ||||
\(343\) | −0.500000 | + | 0.866025i | −0.0269975 | + | 0.0467610i | ||||
\(344\) | −6.02001 | − | 5.05139i | −0.324577 | − | 0.272353i | ||||
\(345\) | −23.8714 | − | 25.6995i | −1.28519 | − | 1.38361i | ||||
\(346\) | −0.350017 | − | 1.98504i | −0.0188170 | − | 0.106717i | ||||
\(347\) | −6.28929 | + | 5.27734i | −0.337627 | + | 0.283302i | −0.795799 | − | 0.605561i | \(-0.792949\pi\) |
0.458172 | + | 0.888863i | \(0.348504\pi\) | |||||||
\(348\) | 1.02006 | − | 1.34817i | 0.0546809 | − | 0.0722696i | ||||
\(349\) | 14.4931 | − | 5.27506i | 0.775798 | − | 0.282368i | 0.0763789 | − | 0.997079i | \(-0.475664\pi\) |
0.699420 | + | 0.714711i | \(0.253442\pi\) | |||||||
\(350\) | 11.3092 | 0.604503 | ||||||||
\(351\) | 0.558795 | + | 0.491536i | 0.0298263 | + | 0.0262362i | ||||
\(352\) | −1.87046 | −0.0996956 | ||||||||
\(353\) | −11.7876 | + | 4.29033i | −0.627390 | + | 0.228351i | −0.636095 | − | 0.771611i | \(-0.719451\pi\) |
0.00870476 | + | 0.999962i | \(0.497229\pi\) | |||||||
\(354\) | −4.30886 | − | 10.2065i | −0.229013 | − | 0.542468i | ||||
\(355\) | 50.7228 | − | 42.5615i | 2.69209 | − | 2.25893i | ||||
\(356\) | 2.54796 | + | 14.4502i | 0.135041 | + | 0.765858i | ||||
\(357\) | 2.96215 | − | 9.62145i | 0.156774 | − | 0.509221i | ||||
\(358\) | −8.06472 | − | 6.76710i | −0.426234 | − | 0.357652i | ||||
\(359\) | 13.2218 | − | 22.9009i | 0.697821 | − | 1.20866i | −0.271400 | − | 0.962467i | \(-0.587487\pi\) |
0.969221 | − | 0.246194i | \(-0.0791801\pi\) | |||||||
\(360\) | 10.0176 | + | 6.81406i | 0.527972 | + | 0.359133i | ||||
\(361\) | −7.30130 | − | 12.6462i | −0.384279 | − | 0.665591i | ||||
\(362\) | −4.64698 | + | 26.3544i | −0.244240 | + | 1.38515i | ||||
\(363\) | 11.5651 | + | 5.92123i | 0.607011 | + | 0.310784i | ||||
\(364\) | 0.134587 | + | 0.0489857i | 0.00705428 | + | 0.00256755i | ||||
\(365\) | 17.9971 | + | 6.55042i | 0.942013 | + | 0.342865i | ||||
\(366\) | 6.84766 | + | 3.50593i | 0.357933 | + | 0.183258i | ||||
\(367\) | −1.86052 | + | 10.5515i | −0.0971182 | + | 0.550785i | 0.896959 | + | 0.442113i | \(0.145771\pi\) |
−0.994078 | + | 0.108672i | \(0.965340\pi\) | |||||||
\(368\) | −2.50726 | − | 4.34271i | −0.130700 | − | 0.226379i | ||||
\(369\) | −13.7253 | − | 9.33611i | −0.714510 | − | 0.486019i | ||||
\(370\) | −22.6575 | + | 39.2439i | −1.17791 | + | 2.04019i | ||||
\(371\) | 1.02454 | + | 0.859691i | 0.0531915 | + | 0.0446329i | ||||
\(372\) | 0.225542 | − | 0.732589i | 0.0116938 | − | 0.0379830i | ||||
\(373\) | −1.98986 | − | 11.2851i | −0.103031 | − | 0.584319i | −0.991988 | − | 0.126329i | \(-0.959681\pi\) |
0.888957 | − | 0.457990i | \(-0.151431\pi\) | |||||||
\(374\) | −8.32809 | + | 6.98810i | −0.430635 | + | 0.361346i | ||||
\(375\) | 17.1643 | + | 40.6572i | 0.886358 | + | 2.09953i | ||||
\(376\) | −0.796044 | + | 0.289736i | −0.0410528 | + | 0.0149420i | ||||
\(377\) | 0.139796 | 0.00719986 | ||||||||
\(378\) | −3.90153 | − | 3.43192i | −0.200673 | − | 0.176519i | ||||
\(379\) | 25.7730 | 1.32387 | 0.661936 | − | 0.749560i | \(-0.269735\pi\) | ||||
0.661936 | + | 0.749560i | \(0.269735\pi\) | |||||||
\(380\) | −21.9983 | + | 8.00672i | −1.12849 | + | 0.410736i | ||||
\(381\) | 17.8662 | − | 23.6130i | 0.915311 | − | 1.20973i | ||||
\(382\) | −0.285199 | + | 0.239310i | −0.0145920 | + | 0.0122442i | ||||
\(383\) | −0.142628 | − | 0.808881i | −0.00728793 | − | 0.0413319i | 0.980947 | − | 0.194276i | \(-0.0622357\pi\) |
−0.988235 | + | 0.152944i | \(0.951125\pi\) | |||||||
\(384\) | 1.17878 | + | 1.26905i | 0.0601542 | + | 0.0647609i | ||||
\(385\) | 5.78653 | + | 4.85547i | 0.294909 | + | 0.247458i | ||||
\(386\) | 13.3169 | − | 23.0656i | 0.677813 | − | 1.17401i | ||||
\(387\) | −9.67323 | + | 21.4998i | −0.491718 | + | 1.09290i | ||||
\(388\) | −3.48071 | − | 6.02877i | −0.176706 | − | 0.306064i | ||||
\(389\) | 2.03448 | − | 11.5381i | 0.103152 | − | 0.585004i | −0.888790 | − | 0.458314i | \(-0.848453\pi\) |
0.991942 | − | 0.126690i | \(-0.0404354\pi\) | |||||||
\(390\) | 0.0504760 | + | 1.00056i | 0.00255595 | + | 0.0506653i | ||||
\(391\) | −27.3880 | − | 9.96841i | −1.38507 | − | 0.504124i | ||||
\(392\) | −0.939693 | − | 0.342020i | −0.0474616 | − | 0.0172746i | ||||
\(393\) | 3.17698 | − | 2.05433i | 0.160257 | − | 0.103627i | ||||
\(394\) | 1.04506 | − | 5.92681i | 0.0526492 | − | 0.298589i | ||||
\(395\) | −28.1061 | − | 48.6811i | −1.41417 | − | 2.44941i | ||||
\(396\) | 1.52560 | + | 5.40000i | 0.0766644 | + | 0.271360i | ||||
\(397\) | −8.56236 | + | 14.8304i | −0.429733 | + | 0.744319i | −0.996849 | − | 0.0793187i | \(-0.974726\pi\) |
0.567117 | + | 0.823637i | \(0.308059\pi\) | |||||||
\(398\) | −5.79557 | − | 4.86306i | −0.290506 | − | 0.243763i | ||||
\(399\) | 9.78737 | − | 2.23945i | 0.489982 | − | 0.112113i | ||||
\(400\) | 1.96382 | + | 11.1374i | 0.0981912 | + | 0.556870i | ||||
\(401\) | 20.4643 | − | 17.1716i | 1.02194 | − | 0.857509i | 0.0320697 | − | 0.999486i | \(-0.489790\pi\) |
0.989870 | + | 0.141976i | \(0.0453457\pi\) | |||||||
\(402\) | 19.1513 | + | 2.38949i | 0.955179 | + | 0.119177i | ||||
\(403\) | 0.0595618 | − | 0.0216787i | 0.00296698 | − | 0.00107989i | ||||
\(404\) | 5.21424 | 0.259418 | ||||||||
\(405\) | 11.5015 | − | 34.4784i | 0.571516 | − | 1.71325i | ||||
\(406\) | −0.976061 | −0.0484411 | ||||||||
\(407\) | −19.7223 | + | 7.17834i | −0.977600 | + | 0.355817i | ||||
\(408\) | 9.98965 | + | 1.24640i | 0.494561 | + | 0.0617061i | ||||
\(409\) | −17.2699 | + | 14.4912i | −0.853941 | + | 0.716541i | −0.960654 | − | 0.277749i | \(-0.910412\pi\) |
0.106713 | + | 0.994290i | \(0.465967\pi\) | |||||||
\(410\) | −3.88028 | − | 22.0062i | −0.191633 | − | 1.08681i | ||||
\(411\) | 9.22941 | − | 2.11178i | 0.455253 | − | 0.104167i | ||||
\(412\) | 3.84428 | + | 3.22574i | 0.189394 | + | 0.158921i | ||||
\(413\) | −3.19816 | + | 5.53937i | −0.157371 | + | 0.272574i | ||||
\(414\) | −10.4924 | + | 10.7805i | −0.515672 | + | 0.529833i | ||||
\(415\) | 12.2830 | + | 21.2748i | 0.602950 | + | 1.04434i | ||||
\(416\) | −0.0248707 | + | 0.141049i | −0.00121939 | + | 0.00691548i | ||||
\(417\) | −1.80383 | + | 1.16642i | −0.0883342 | + | 0.0571197i | ||||
\(418\) | −10.1887 | − | 3.70839i | −0.498347 | − | 0.181383i | ||||
\(419\) | −9.21448 | − | 3.35379i | −0.450157 | − | 0.163844i | 0.106986 | − | 0.994261i | \(-0.465880\pi\) |
−0.557142 | + | 0.830417i | \(0.688102\pi\) | |||||||
\(420\) | −0.352425 | − | 6.98595i | −0.0171966 | − | 0.340879i | ||||
\(421\) | 2.01256 | − | 11.4138i | 0.0980859 | − | 0.556273i | −0.895672 | − | 0.444715i | \(-0.853305\pi\) |
0.993758 | − | 0.111558i | \(-0.0355840\pi\) | |||||||
\(422\) | 9.38523 | + | 16.2557i | 0.456866 | + | 0.791315i | ||||
\(423\) | 1.48575 | + | 2.06186i | 0.0722395 | + | 0.100251i | ||||
\(424\) | −0.668721 | + | 1.15826i | −0.0324760 | + | 0.0562500i | ||||
\(425\) | 50.3536 | + | 42.2517i | 2.44251 | + | 2.04951i | ||||
\(426\) | −19.3270 | − | 20.8071i | −0.936396 | − | 1.00811i | ||||
\(427\) | −0.771266 | − | 4.37407i | −0.0373242 | − | 0.211676i | ||||
\(428\) | −10.8986 | + | 9.14497i | −0.526801 | + | 0.442039i | ||||
\(429\) | −0.279971 | + | 0.370027i | −0.0135171 | + | 0.0178651i | ||||
\(430\) | −29.8226 | + | 10.8545i | −1.43817 | + | 0.523452i | ||||
\(431\) | 26.2094 | 1.26246 | 0.631232 | − | 0.775594i | \(-0.282549\pi\) | ||||
0.631232 | + | 0.775594i | \(0.282549\pi\) | |||||||
\(432\) | 2.70229 | − | 4.43820i | 0.130014 | − | 0.213533i | ||||
\(433\) | 1.41235 | 0.0678730 | 0.0339365 | − | 0.999424i | \(-0.489196\pi\) | ||||
0.0339365 | + | 0.999424i | \(0.489196\pi\) | |||||||
\(434\) | −0.415863 | + | 0.151362i | −0.0199620 | + | 0.00726559i | ||||
\(435\) | −2.65538 | − | 6.28984i | −0.127316 | − | 0.301575i | ||||
\(436\) | 1.26896 | − | 1.06478i | 0.0607722 | − | 0.0509939i | ||||
\(437\) | −5.04762 | − | 28.6265i | −0.241460 | − | 1.36939i | ||||
\(438\) | 2.41693 | − | 7.85051i | 0.115485 | − | 0.375112i | ||||
\(439\) | 11.4747 | + | 9.62846i | 0.547660 | + | 0.459541i | 0.874148 | − | 0.485660i | \(-0.161421\pi\) |
−0.326488 | + | 0.945201i | \(0.605865\pi\) | |||||||
\(440\) | −3.77689 | + | 6.54176i | −0.180056 | + | 0.311866i | ||||
\(441\) | −0.220968 | + | 2.99185i | −0.0105223 | + | 0.142469i | ||||
\(442\) | 0.416228 | + | 0.720929i | 0.0197980 | + | 0.0342911i | ||||
\(443\) | 4.22405 | − | 23.9558i | 0.200691 | − | 1.13817i | −0.703388 | − | 0.710806i | \(-0.748330\pi\) |
0.904079 | − | 0.427366i | \(-0.140559\pi\) | |||||||
\(444\) | 17.2995 | + | 8.85716i | 0.820997 | + | 0.420342i | ||||
\(445\) | 55.6832 | + | 20.2670i | 2.63964 | + | 0.960749i | ||||
\(446\) | −3.66960 | − | 1.33563i | −0.173761 | − | 0.0632438i | ||||
\(447\) | −16.4226 | − | 8.40822i | −0.776764 | − | 0.397695i | ||||
\(448\) | 0.173648 | − | 0.984808i | 0.00820411 | − | 0.0465278i | ||||
\(449\) | 0.909705 | + | 1.57566i | 0.0429316 | + | 0.0743598i | 0.886693 | − | 0.462359i | \(-0.152997\pi\) |
−0.843761 | + | 0.536719i | \(0.819664\pi\) | |||||||
\(450\) | 30.5519 | − | 14.7536i | 1.44023 | − | 0.695490i | ||||
\(451\) | 5.17480 | − | 8.96302i | 0.243672 | − | 0.422052i | ||||
\(452\) | 9.98334 | + | 8.37702i | 0.469577 | + | 0.394022i | ||||
\(453\) | 2.04913 | − | 6.65585i | 0.0962766 | − | 0.312719i | ||||
\(454\) | −2.37421 | − | 13.4648i | −0.111427 | − | 0.631934i | ||||
\(455\) | 0.443086 | − | 0.371793i | 0.0207722 | − | 0.0174299i | ||||
\(456\) | 3.90499 | + | 9.24981i | 0.182868 | + | 0.433162i | ||||
\(457\) | −5.58503 | + | 2.03278i | −0.261257 | + | 0.0950896i | −0.469328 | − | 0.883024i | \(-0.655504\pi\) |
0.208071 | + | 0.978114i | \(0.433281\pi\) | |||||||
\(458\) | 4.54547 | 0.212396 | ||||||||
\(459\) | −4.54951 | − | 29.8567i | −0.212353 | − | 1.39359i | ||||
\(460\) | −20.2510 | −0.944208 | ||||||||
\(461\) | −6.69058 | + | 2.43517i | −0.311611 | + | 0.113417i | −0.493092 | − | 0.869977i | \(-0.664133\pi\) |
0.181480 | + | 0.983395i | \(0.441911\pi\) | |||||||
\(462\) | 1.95477 | − | 2.58354i | 0.0909441 | − | 0.120197i | ||||
\(463\) | −13.4528 | + | 11.2883i | −0.625207 | + | 0.524611i | −0.899435 | − | 0.437054i | \(-0.856022\pi\) |
0.274229 | + | 0.961665i | \(0.411577\pi\) | |||||||
\(464\) | −0.169491 | − | 0.961233i | −0.00786843 | − | 0.0446241i | ||||
\(465\) | −2.10675 | − | 2.26808i | −0.0976981 | − | 0.105180i | ||||
\(466\) | −20.7421 | − | 17.4046i | −0.960857 | − | 0.806255i | ||||
\(467\) | 10.8850 | − | 18.8534i | 0.503700 | − | 0.872433i | −0.496291 | − | 0.868156i | \(-0.665305\pi\) |
0.999991 | − | 0.00427731i | \(-0.00136152\pi\) | |||||||
\(468\) | 0.427492 | − | 0.0432421i | 0.0197608 | − | 0.00199887i | ||||
\(469\) | −5.57136 | − | 9.64989i | −0.257262 | − | 0.445590i | ||||
\(470\) | −0.594071 | + | 3.36914i | −0.0274024 | + | 0.155407i | ||||
\(471\) | 1.53194 | + | 30.3669i | 0.0705882 | + | 1.39923i | ||||
\(472\) | −6.01057 | − | 2.18767i | −0.276659 | − | 0.100696i | ||||
\(473\) | −13.8126 | − | 5.02739i | −0.635106 | − | 0.231160i | ||||
\(474\) | −20.2449 | + | 13.0910i | −0.929880 | + | 0.601290i | ||||
\(475\) | −11.3838 | + | 64.5610i | −0.522327 | + | 2.96226i | ||||
\(476\) | −2.90612 | − | 5.03355i | −0.133202 | − | 0.230713i | ||||
\(477\) | 3.88932 | + | 0.985883i | 0.178080 | + | 0.0451405i | ||||
\(478\) | −0.919721 | + | 1.59300i | −0.0420671 | + | 0.0728623i | ||||
\(479\) | −20.4386 | − | 17.1500i | −0.933862 | − | 0.783603i | 0.0426446 | − | 0.999090i | \(-0.486422\pi\) |
−0.976507 | + | 0.215487i | \(0.930866\pi\) | |||||||
\(480\) | 6.81862 | − | 1.56017i | 0.311226 | − | 0.0712116i | ||||
\(481\) | 0.279070 | + | 1.58268i | 0.0127245 | + | 0.0721642i | ||||
\(482\) | −11.3632 | + | 9.53487i | −0.517580 | + | 0.434302i | ||||
\(483\) | 8.61859 | + | 1.07534i | 0.392160 | + | 0.0489295i | ||||
\(484\) | 7.04901 | − | 2.56563i | 0.320409 | − | 0.116619i | ||||
\(485\) | −28.1135 | −1.27657 | ||||||||
\(486\) | −15.0171 | − | 4.18157i | −0.681191 | − | 0.189680i | ||||
\(487\) | −0.474106 | −0.0214838 | −0.0107419 | − | 0.999942i | \(-0.503419\pi\) | ||||
−0.0107419 | + | 0.999942i | \(0.503419\pi\) | |||||||
\(488\) | 4.17369 | − | 1.51910i | 0.188934 | − | 0.0687664i | ||||
\(489\) | −33.6837 | − | 4.20269i | −1.52323 | − | 0.190052i | ||||
\(490\) | −3.09365 | + | 2.59588i | −0.139757 | + | 0.117270i | ||||
\(491\) | 4.44602 | + | 25.2146i | 0.200646 | + | 1.13792i | 0.904145 | + | 0.427225i | \(0.140509\pi\) |
−0.703499 | + | 0.710696i | \(0.748380\pi\) | |||||||
\(492\) | −9.34235 | + | 2.13762i | −0.421186 | + | 0.0963715i | ||||
\(493\) | −4.34585 | − | 3.64660i | −0.195727 | − | 0.164235i | ||||
\(494\) | −0.415121 | + | 0.719010i | −0.0186772 | + | 0.0323498i | ||||
\(495\) | 21.9666 | + | 5.56819i | 0.987324 | + | 0.250272i | ||||
\(496\) | −0.221276 | − | 0.383261i | −0.00993558 | − | 0.0172089i | ||||
\(497\) | −2.84710 | + | 16.1467i | −0.127710 | + | 0.724279i | ||||
\(498\) | 8.84751 | − | 5.72108i | 0.396466 | − | 0.256368i | ||||
\(499\) | −30.4203 | − | 11.0721i | −1.36180 | − | 0.495655i | −0.445190 | − | 0.895436i | \(-0.646864\pi\) |
−0.916611 | + | 0.399781i | \(0.869086\pi\) | |||||||
\(500\) | 23.9429 | + | 8.71452i | 1.07076 | + | 0.389725i | ||||
\(501\) | −0.953982 | − | 18.9103i | −0.0426208 | − | 0.844849i | ||||
\(502\) | −3.11005 | + | 17.6380i | −0.138808 | + | 0.787220i | ||||
\(503\) | 10.4516 | + | 18.1026i | 0.466012 | + | 0.807157i | 0.999247 | − | 0.0388107i | \(-0.0123569\pi\) |
−0.533234 | + | 0.845968i | \(0.679024\pi\) | |||||||
\(504\) | −2.98477 | + | 0.301918i | −0.132952 | + | 0.0134485i | ||||
\(505\) | 10.5288 | − | 18.2364i | 0.468524 | − | 0.811507i | ||||
\(506\) | −7.18508 | − | 6.02900i | −0.319416 | − | 0.268022i | ||||
\(507\) | −15.2999 | − | 16.4716i | −0.679493 | − | 0.731529i | ||||
\(508\) | −2.96861 | − | 16.8358i | −0.131711 | − | 0.746969i | ||||
\(509\) | −29.7747 | + | 24.9839i | −1.31974 | + | 1.10739i | −0.333378 | + | 0.942793i | \(0.608189\pi\) |
−0.986361 | + | 0.164599i | \(0.947367\pi\) | |||||||
\(510\) | 24.5306 | − | 32.4212i | 1.08623 | − | 1.43563i | ||||
\(511\) | −4.45643 | + | 1.62201i | −0.197141 | + | 0.0717534i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | 23.5191 | − | 18.8181i | 1.03839 | − | 0.830840i | ||||
\(514\) | −28.6416 | −1.26333 | ||||||||
\(515\) | 19.0442 | − | 6.93154i | 0.839189 | − | 0.305440i | ||||
\(516\) | 5.29391 | + | 12.5398i | 0.233051 | + | 0.552032i | ||||
\(517\) | −1.21382 | + | 1.01851i | −0.0533836 | + | 0.0447941i | ||||
\(518\) | −1.94848 | − | 11.0504i | −0.0856112 | − | 0.485525i | ||||
\(519\) | −1.02726 | + | 3.33668i | −0.0450918 | + | 0.146464i | ||||
\(520\) | 0.443086 | + | 0.371793i | 0.0194306 | + | 0.0163042i | ||||
\(521\) | −1.86798 | + | 3.23544i | −0.0818377 | + | 0.141747i | −0.904039 | − | 0.427449i | \(-0.859412\pi\) |
0.822202 | + | 0.569196i | \(0.192746\pi\) | |||||||
\(522\) | −2.63683 | + | 1.27333i | −0.115411 | + | 0.0557322i | ||||
\(523\) | −0.558685 | − | 0.967670i | −0.0244296 | − | 0.0423133i | 0.853552 | − | 0.521007i | \(-0.174444\pi\) |
−0.877982 | + | 0.478694i | \(0.841110\pi\) | |||||||
\(524\) | 0.379299 | − | 2.15111i | 0.0165698 | − | 0.0939718i | ||||
\(525\) | −17.4357 | − | 8.92693i | −0.760958 | − | 0.389603i | ||||
\(526\) | 23.6360 | + | 8.60281i | 1.03058 | + | 0.375100i | ||||
\(527\) | −2.41710 | − | 0.879751i | −0.105290 | − | 0.0383226i | ||||
\(528\) | 2.88374 | + | 1.47644i | 0.125498 | + | 0.0642540i | ||||
\(529\) | 0.372561 | − | 2.11290i | 0.0161983 | − | 0.0918650i | ||||
\(530\) | 2.70061 | + | 4.67759i | 0.117307 | + | 0.203182i | ||||
\(531\) | −1.41338 | + | 19.1368i | −0.0613355 | + | 0.830467i | ||||
\(532\) | 2.89839 | − | 5.02016i | 0.125661 | − | 0.217651i | ||||
\(533\) | −0.607083 | − | 0.509403i | −0.0262957 | − | 0.0220647i | ||||
\(534\) | 7.47799 | − | 24.2895i | 0.323604 | − | 1.05111i | ||||
\(535\) | 9.97704 | + | 56.5826i | 0.431345 | + | 2.44628i | ||||
\(536\) | 8.53583 | − | 7.16241i | 0.368692 | − | 0.309369i | ||||
\(537\) | 7.09199 | + | 16.7989i | 0.306042 | + | 0.724927i | ||||
\(538\) | 17.7114 | − | 6.44643i | 0.763594 | − | 0.277925i | ||||
\(539\) | −1.87046 | −0.0805662 | ||||||||
\(540\) | −10.0657 | − | 18.4128i | −0.433158 | − | 0.792360i | ||||
\(541\) | −15.5472 | −0.668426 | −0.334213 | − | 0.942498i | \(-0.608471\pi\) | ||||
−0.334213 | + | 0.942498i | \(0.608471\pi\) | |||||||
\(542\) | 7.79561 | − | 2.83737i | 0.334850 | − | 0.121876i | ||||
\(543\) | 27.9672 | − | 36.9632i | 1.20019 | − | 1.58624i | ||||
\(544\) | 4.45244 | − | 3.73604i | 0.190897 | − | 0.160181i | ||||
\(545\) | −1.16166 | − | 6.58813i | −0.0497603 | − | 0.282204i | ||||
\(546\) | −0.168830 | − | 0.181759i | −0.00722526 | − | 0.00777857i | ||||
\(547\) | 13.8868 | + | 11.6524i | 0.593756 | + | 0.498220i | 0.889432 | − | 0.457068i | \(-0.151100\pi\) |
−0.295676 | + | 0.955288i | \(0.595545\pi\) | |||||||
\(548\) | 2.73316 | − | 4.73396i | 0.116755 | − | 0.202225i | ||||
\(549\) | −7.78982 | − | 10.8104i | −0.332461 | − | 0.461377i | ||||
\(550\) | 10.5767 | + | 18.3194i | 0.450992 | + | 0.781141i | ||||
\(551\) | 0.982503 | − | 5.57205i | 0.0418560 | − | 0.237377i | ||||
\(552\) | 0.437604 | + | 8.67439i | 0.0186256 | + | 0.369206i | ||||
\(553\) | 13.0798 | + | 4.76064i | 0.556208 | + | 0.202443i | ||||
\(554\) | 15.5827 | + | 5.67162i | 0.662044 | + | 0.240964i | ||||
\(555\) | 65.9089 | − | 42.6188i | 2.79768 | − | 1.80907i | ||||
\(556\) | −0.215360 | + | 1.22137i | −0.00913329 | + | 0.0517975i | ||||
\(557\) | −5.21004 | − | 9.02405i | −0.220756 | − | 0.382361i | 0.734281 | − | 0.678845i | \(-0.237519\pi\) |
−0.955038 | + | 0.296484i | \(0.904186\pi\) | |||||||
\(558\) | −0.925994 | + | 0.951422i | −0.0392004 | + | 0.0402769i | ||||
\(559\) | −0.562770 | + | 0.974746i | −0.0238026 | + | 0.0412274i | ||||
\(560\) | −3.09365 | − | 2.59588i | −0.130730 | − | 0.109696i | ||||
\(561\) | 18.3557 | − | 4.19997i | 0.774979 | − | 0.177323i | ||||
\(562\) | 5.17006 | + | 29.3209i | 0.218086 | + | 1.23683i | ||||
\(563\) | −27.6486 | + | 23.2000i | −1.16525 | + | 0.977762i | −0.999964 | − | 0.00848362i | \(-0.997300\pi\) |
−0.165287 | + | 0.986245i | \(0.552855\pi\) | |||||||
\(564\) | 1.45599 | + | 0.181663i | 0.0613081 | + | 0.00764938i | ||||
\(565\) | 49.4566 | − | 18.0007i | 2.08065 | − | 0.757296i | ||||
\(566\) | −16.4328 | −0.690722 | ||||||||
\(567\) | 3.30611 | + | 8.37076i | 0.138843 | + | 0.351539i | ||||
\(568\) | −16.3958 | −0.687953 | ||||||||
\(569\) | 34.7927 | − | 12.6635i | 1.45859 | − | 0.530882i | 0.513610 | − | 0.858024i | \(-0.328308\pi\) |
0.944975 | + | 0.327142i | \(0.106085\pi\) | |||||||
\(570\) | 40.2355 | + | 5.02016i | 1.68528 | + | 0.210271i | ||||
\(571\) | 9.18757 | − | 7.70929i | 0.384488 | − | 0.322624i | −0.429973 | − | 0.902842i | \(-0.641477\pi\) |
0.814461 | + | 0.580218i | \(0.197033\pi\) | |||||||
\(572\) | 0.0465195 | + | 0.263825i | 0.00194508 | + | 0.0110311i | ||||
\(573\) | 0.628598 | − | 0.143830i | 0.0262601 | − | 0.00600857i | ||||
\(574\) | 4.23868 | + | 3.55667i | 0.176919 | + | 0.148453i | ||||
\(575\) | −28.3552 | + | 49.1126i | −1.18249 | + | 2.04814i | ||||
\(576\) | −0.815631 | − | 2.88700i | −0.0339846 | − | 0.120291i | ||||
\(577\) | −9.97108 | − | 17.2704i | −0.415101 | − | 0.718977i | 0.580338 | − | 0.814376i | \(-0.302921\pi\) |
−0.995439 | + | 0.0953992i | \(0.969587\pi\) | |||||||
\(578\) | 2.91420 | − | 16.5273i | 0.121215 | − | 0.687443i | ||||
\(579\) | −38.7379 | + | 25.0491i | −1.60989 | + | 1.04101i | ||||
\(580\) | −3.70407 | − | 1.34817i | −0.153803 | − | 0.0559798i | ||||
\(581\) | −5.71616 | − | 2.08051i | −0.237146 | − | 0.0863142i | ||||
\(582\) | 0.607504 | + | 12.0422i | 0.0251818 | + | 0.499166i | ||||
\(583\) | −0.434403 | + | 2.46362i | −0.0179911 | + | 0.102033i | ||||
\(584\) | −2.37122 | − | 4.10707i | −0.0981216 | − | 0.169952i | ||||
\(585\) | 0.711971 | − | 1.58243i | 0.0294364 | − | 0.0654256i | ||||
\(586\) | 6.06670 | − | 10.5078i | 0.250613 | − | 0.434075i | ||||
\(587\) | −10.5311 | − | 8.83668i | −0.434667 | − | 0.364729i | 0.399042 | − | 0.916933i | \(-0.369343\pi\) |
−0.833709 | + | 0.552204i | \(0.813787\pi\) | |||||||
\(588\) | 1.17878 | + | 1.26905i | 0.0486120 | + | 0.0523347i | ||||
\(589\) | −0.445472 | − | 2.52640i | −0.0183554 | − | 0.104098i | ||||
\(590\) | −19.7879 | + | 16.6040i | −0.814656 | + | 0.683577i | ||||
\(591\) | −6.28952 | + | 8.31262i | −0.258716 | + | 0.341936i | ||||
\(592\) | 10.5441 | − | 3.83775i | 0.433361 | − | 0.157731i | ||||
\(593\) | −1.92182 | −0.0789196 | −0.0394598 | − | 0.999221i | \(-0.512564\pi\) | ||||
−0.0394598 | + | 0.999221i | \(0.512564\pi\) | |||||||
\(594\) | 1.91042 | − | 9.52957i | 0.0783857 | − | 0.391003i | ||||
\(595\) | −23.4726 | −0.962281 | ||||||||
\(596\) | −10.0097 | + | 3.64323i | −0.410013 | + | 0.149232i | ||||
\(597\) | 5.09654 | + | 12.0723i | 0.208587 | + | 0.494084i | ||||
\(598\) | −0.550176 | + | 0.461653i | −0.0224984 | + | 0.0188784i | ||||
\(599\) | −0.352388 | − | 1.99849i | −0.0143982 | − | 0.0816561i | 0.976762 | − | 0.214327i | \(-0.0687558\pi\) |
−0.991160 | + | 0.132671i | \(0.957645\pi\) | |||||||
\(600\) | 5.76362 | − | 18.7210i | 0.235299 | − | 0.764281i | ||||
\(601\) | −18.9142 | − | 15.8709i | −0.771526 | − | 0.647387i | 0.169573 | − | 0.985518i | \(-0.445761\pi\) |
−0.941099 | + | 0.338131i | \(0.890205\pi\) | |||||||
\(602\) | 3.92928 | − | 6.80572i | 0.160146 | − | 0.277380i | ||||
\(603\) | −27.6399 | − | 18.8010i | −1.12558 | − | 0.765636i | ||||
\(604\) | −2.01037 | − | 3.48207i | −0.0818010 | − | 0.141683i | ||||
\(605\) | 5.26052 | − | 29.8339i | 0.213871 | − | 1.21292i | ||||
\(606\) | −8.03894 | − | 4.11586i | −0.326560 | − | 0.167195i | ||||
\(607\) | −6.95920 | − | 2.53294i | −0.282465 | − | 0.102809i | 0.196902 | − | 0.980423i | \(-0.436912\pi\) |
−0.479368 | + | 0.877614i | \(0.659134\pi\) | |||||||
\(608\) | 5.44719 | + | 1.98261i | 0.220913 | + | 0.0804056i | ||||
\(609\) | 1.50482 | + | 0.770454i | 0.0609784 | + | 0.0312204i | ||||
\(610\) | 3.11473 | − | 17.6645i | 0.126112 | − | 0.715216i | ||||
\(611\) | 0.0606651 | + | 0.105075i | 0.00245425 | + | 0.00425088i | ||||
\(612\) | −14.4175 | − | 9.80694i | −0.582792 | − | 0.396422i | ||||
\(613\) | −14.4883 | + | 25.0946i | −0.585179 | + | 1.01356i | 0.409674 | + | 0.912232i | \(0.365642\pi\) |
−0.994853 | + | 0.101328i | \(0.967691\pi\) | |||||||
\(614\) | 17.8229 | + | 14.9552i | 0.719275 | + | 0.603543i | ||||
\(615\) | −11.3882 | + | 36.9904i | −0.459218 | + | 1.49160i | ||||
\(616\) | −0.324801 | − | 1.84204i | −0.0130866 | − | 0.0742179i | ||||
\(617\) | −9.20524 | + | 7.72411i | −0.370589 | + | 0.310961i | −0.808994 | − | 0.587816i | \(-0.799988\pi\) |
0.438406 | + | 0.898777i | \(0.355543\pi\) | |||||||
\(618\) | −3.38061 | − | 8.00769i | −0.135988 | − | 0.322117i | ||||
\(619\) | 15.6287 | − | 5.68838i | 0.628170 | − | 0.228635i | −0.00826470 | − | 0.999966i | \(-0.502631\pi\) |
0.636435 | + | 0.771331i | \(0.280409\pi\) | |||||||
\(620\) | −1.78723 | −0.0717769 | ||||||||
\(621\) | 24.6860 | − | 8.33846i | 0.990615 | − | 0.334611i | ||||
\(622\) | 1.34575 | 0.0539596 | ||||||||
\(623\) | −13.7882 | + | 5.01849i | −0.552412 | + | 0.201062i | ||||
\(624\) | 0.149681 | − | 0.197827i | 0.00599202 | − | 0.00791943i | ||||
\(625\) | 35.5079 | − | 29.7946i | 1.42032 | − | 1.19179i | ||||
\(626\) | 3.31953 | + | 18.8260i | 0.132675 | + | 0.752438i | ||||
\(627\) | 12.7810 | + | 13.7598i | 0.510425 | + | 0.549514i | ||||
\(628\) | 13.4476 | + | 11.2839i | 0.536619 | + | 0.450277i | ||||
\(629\) | 32.6091 | − | 56.4807i | 1.30021 | − | 2.25203i | ||||
\(630\) | −4.97101 | + | 11.0486i | −0.198050 | + | 0.440187i | ||||
\(631\) | −8.79981 | − | 15.2417i | −0.350315 | − | 0.606763i | 0.635990 | − | 0.771697i | \(-0.280592\pi\) |
−0.986305 | + | 0.164935i | \(0.947259\pi\) | |||||||
\(632\) | −2.41704 | + | 13.7077i | −0.0961447 | + | 0.545264i | ||||
\(633\) | −1.63804 | − | 32.4701i | −0.0651064 | − | 1.29057i | ||||
\(634\) | 10.3546 | + | 3.76877i | 0.411234 | + | 0.149677i | ||||
\(635\) | −64.8762 | − | 23.6130i | −2.57453 | − | 0.937054i | ||||
\(636\) | 1.94526 | − | 1.25787i | 0.0771345 | − | 0.0498776i | ||||
\(637\) | −0.0248707 | + | 0.141049i | −0.000985413 | + | 0.00558855i | ||||
\(638\) | −0.912840 | − | 1.58108i | −0.0361397 | − | 0.0625957i | ||||
\(639\) | 13.3729 | + | 47.3346i | 0.529025 | + | 1.87253i | ||||
\(640\) | 2.01923 | − | 3.49741i | 0.0798172 | − | 0.138247i | ||||
\(641\) | −1.08960 | − | 0.914286i | −0.0430368 | − | 0.0361121i | 0.621016 | − | 0.783798i | \(-0.286720\pi\) |
−0.664052 | + | 0.747686i | \(0.731165\pi\) | |||||||
\(642\) | 24.0212 | − | 5.49629i | 0.948041 | − | 0.216921i | ||||
\(643\) | 0.665454 | + | 3.77398i | 0.0262429 | + | 0.148831i | 0.995114 | − | 0.0987362i | \(-0.0314800\pi\) |
−0.968871 | + | 0.247567i | \(0.920369\pi\) | |||||||
\(644\) | 3.84135 | − | 3.22328i | 0.151370 | − | 0.127015i | ||||
\(645\) | 54.5464 | + | 6.80572i | 2.14776 | + | 0.267975i | ||||
\(646\) | 31.6604 | − | 11.5234i | 1.24566 | − | 0.453384i | ||||
\(647\) | 19.5538 | 0.768740 | 0.384370 | − | 0.923179i | \(-0.374419\pi\) | ||||
0.384370 | + | 0.923179i | \(0.374419\pi\) | |||||||
\(648\) | −7.66949 | + | 4.70945i | −0.301286 | + | 0.185005i | ||||
\(649\) | −11.9640 | −0.469629 | ||||||||
\(650\) | 1.52207 | − | 0.553990i | 0.0597007 | − | 0.0217293i | ||||
\(651\) | 0.760625 | + | 0.0949026i | 0.0298112 | + | 0.00371953i | ||||
\(652\) | −15.0130 | + | 12.5974i | −0.587955 | + | 0.493353i | ||||
\(653\) | 0.916996 | + | 5.20054i | 0.0358848 | + | 0.203513i | 0.997479 | − | 0.0709622i | \(-0.0226070\pi\) |
−0.961594 | + | 0.274475i | \(0.911496\pi\) | |||||||
\(654\) | −2.79688 | + | 0.639954i | −0.109367 | + | 0.0250242i | ||||
\(655\) | −6.75744 | − | 5.67016i | −0.264035 | − | 0.221552i | ||||
\(656\) | −2.76660 | + | 4.79189i | −0.108018 | + | 0.187092i | ||||
\(657\) | −9.92305 | + | 10.1955i | −0.387135 | + | 0.397766i | ||||
\(658\) | −0.423566 | − | 0.733638i | −0.0165123 | − | 0.0286002i | ||||
\(659\) | 3.22042 | − | 18.2639i | 0.125450 | − | 0.711461i | −0.855590 | − | 0.517654i | \(-0.826805\pi\) |
0.981040 | − | 0.193807i | \(-0.0620836\pi\) | |||||||
\(660\) | 10.9867 | − | 7.10433i | 0.427656 | − | 0.276536i | ||||
\(661\) | −24.4686 | − | 8.90583i | −0.951717 | − | 0.346397i | −0.180935 | − | 0.983495i | \(-0.557912\pi\) |
−0.770783 | + | 0.637098i | \(0.780135\pi\) | |||||||
\(662\) | −9.57571 | − | 3.48527i | −0.372170 | − | 0.135459i | ||||
\(663\) | −0.0726461 | − | 1.44003i | −0.00282134 | − | 0.0559260i | ||||
\(664\) | 1.05630 | − | 5.99060i | 0.0409926 | − | 0.232480i | ||||
\(665\) | −11.7050 | − | 20.2737i | −0.453902 | − | 0.786181i | ||||
\(666\) | −19.6797 | − | 27.3107i | −0.762573 | − | 1.05827i | ||||
\(667\) | 2.44724 | − | 4.23875i | 0.0947576 | − | 0.164125i | ||||
\(668\) | −8.37420 | − | 7.02679i | −0.324007 | − | 0.271875i | ||||
\(669\) | 4.60326 | + | 4.95578i | 0.177972 | + | 0.191601i | ||||
\(670\) | −7.81409 | − | 44.3159i | −0.301885 | − | 1.71207i | ||||
\(671\) | 6.36408 | − | 5.34010i | 0.245683 | − | 0.206152i | ||||
\(672\) | −1.04508 | + | 1.38124i | −0.0403147 | + | 0.0532824i | ||||
\(673\) | −25.0848 | + | 9.13012i | −0.966948 | + | 0.351940i | −0.776752 | − | 0.629806i | \(-0.783134\pi\) |
−0.190195 | + | 0.981746i | \(0.560912\pi\) | |||||||
\(674\) | 9.39854 | 0.362018 | ||||||||
\(675\) | −58.7484 | − | 1.37013i | −2.26123 | − | 0.0527363i | ||||
\(676\) | −12.9795 | −0.499211 | ||||||||
\(677\) | 0.413421 | − | 0.150473i | 0.0158891 | − | 0.00578315i | −0.334063 | − | 0.942551i | \(-0.608420\pi\) |
0.349952 | + | 0.936767i | \(0.386198\pi\) | |||||||
\(678\) | −8.77920 | − | 20.7954i | −0.337163 | − | 0.798644i | ||||
\(679\) | 5.33276 | − | 4.47472i | 0.204653 | − | 0.171724i | ||||
\(680\) | −4.07597 | − | 23.1160i | −0.156306 | − | 0.886457i | ||||
\(681\) | −6.96806 | + | 22.6331i | −0.267016 | + | 0.867304i | ||||
\(682\) | −0.634111 | − | 0.532083i | −0.0242814 | − | 0.0203745i | ||||
\(683\) | −14.8735 | + | 25.7617i | −0.569120 | + | 0.985745i | 0.427533 | + | 0.904000i | \(0.359383\pi\) |
−0.996653 | + | 0.0817455i | \(0.973951\pi\) | |||||||
\(684\) | 1.28090 | − | 17.3431i | 0.0489765 | − | 0.663130i | ||||
\(685\) | −11.0378 | − | 19.1180i | −0.421731 | − | 0.730460i | ||||
\(686\) | 0.173648 | − | 0.984808i | 0.00662992 | − | 0.0376001i | ||||
\(687\) | −7.00789 | − | 3.58797i | −0.267368 | − | 0.136890i | ||||
\(688\) | 7.38464 | + | 2.68779i | 0.281537 | + | 0.102471i | ||||
\(689\) | 0.180003 | + | 0.0655156i | 0.00685755 | + | 0.00249594i | ||||
\(690\) | 31.2216 | + | 15.9851i | 1.18858 | + | 0.608543i | ||||
\(691\) | −1.06268 | + | 6.02675i | −0.0404262 | + | 0.229268i | −0.998326 | − | 0.0578335i | \(-0.981581\pi\) |
0.957900 | + | 0.287102i | \(0.0926919\pi\) | |||||||
\(692\) | 1.00783 | + | 1.74562i | 0.0383121 | + | 0.0663584i | ||||
\(693\) | −5.05304 | + | 2.44012i | −0.191949 | + | 0.0926927i | ||||
\(694\) | 4.10504 | − | 7.11014i | 0.155825 | − | 0.269897i | ||||
\(695\) | 3.83676 | + | 3.21943i | 0.145537 | + | 0.122120i | ||||
\(696\) | −0.497439 | + | 1.61575i | −0.0188554 | + | 0.0612448i | ||||
\(697\) | 5.58458 | + | 31.6717i | 0.211531 | + | 1.19965i | ||||
\(698\) | −11.8149 | + | 9.91387i | −0.447200 | + | 0.375246i | ||||
\(699\) | 18.2403 | + | 43.2060i | 0.689910 | + | 1.63420i | ||||
\(700\) | −10.6272 | + | 3.86798i | −0.401670 | + | 0.146196i | ||||
\(701\) | −36.3028 | −1.37114 | −0.685569 | − | 0.728007i | \(-0.740447\pi\) | ||||
−0.685569 | + | 0.728007i | \(0.740447\pi\) | |||||||
\(702\) | −0.693210 | − | 0.270774i | −0.0261635 | − | 0.0102197i | ||||
\(703\) | 65.0447 | 2.45321 | ||||||||
\(704\) | 1.75765 | − | 0.639734i | 0.0662441 | − | 0.0241109i | ||||
\(705\) | 3.57533 | − | 4.72537i | 0.134655 | − | 0.177968i | ||||
\(706\) | 9.60933 | − | 8.06319i | 0.361652 | − | 0.303462i | ||||
\(707\) | 0.905443 | + | 5.13502i | 0.0340527 | + | 0.193122i | ||||
\(708\) | 7.53983 | + | 8.11723i | 0.283364 | + | 0.305064i | ||||
\(709\) | 22.4981 | + | 18.8782i | 0.844935 | + | 0.708985i | 0.958668 | − | 0.284526i | \(-0.0918364\pi\) |
−0.113733 | + | 0.993511i | \(0.536281\pi\) | |||||||
\(710\) | −33.1070 | + | 57.3429i | −1.24248 | + | 2.15204i | ||||
\(711\) | 41.5455 | − | 4.20246i | 1.55808 | − | 0.157604i | ||||
\(712\) | −7.33655 | − | 12.7073i | −0.274949 | − | 0.476225i | ||||
\(713\) | 0.385358 | − | 2.18547i | 0.0144318 | − | 0.0818466i | ||||
\(714\) | 0.507218 | + | 10.0543i | 0.0189822 | + | 0.376273i | ||||
\(715\) | 1.01664 | + | 0.370027i | 0.0380202 | + | 0.0138382i | ||||
\(716\) | 9.89284 | + | 3.60070i | 0.369713 | + | 0.134564i | ||||
\(717\) | 2.67540 | − | 1.73000i | 0.0999145 | − | 0.0646079i | ||||
\(718\) | −4.59189 | + | 26.0419i | −0.171368 | + | 0.971875i | ||||
\(719\) | −23.7741 | − | 41.1779i | −0.886624 | − | 1.53568i | −0.843841 | − | 0.536593i | \(-0.819711\pi\) |
−0.0427831 | − | 0.999084i | \(-0.513622\pi\) | |||||||
\(720\) | −11.7440 | − | 2.97692i | −0.437672 | − | 0.110943i | ||||
\(721\) | −2.50918 | + | 4.34602i | −0.0934466 | + | 0.161854i | ||||
\(722\) | 11.1862 | + | 9.38638i | 0.416309 | + | 0.349325i | ||||
\(723\) | 25.0454 | − | 5.73063i | 0.931447 | − | 0.213124i | ||||
\(724\) | −4.64698 | − | 26.3544i | −0.172704 | − | 0.979452i | ||||
\(725\) | −8.45597 | + | 7.09540i | −0.314047 | + | 0.263517i | ||||
\(726\) | −12.8928 | − | 1.60863i | −0.478498 | − | 0.0597019i | ||||
\(727\) | 21.2214 | − | 7.72397i | 0.787060 | − | 0.286466i | 0.0829464 | − | 0.996554i | \(-0.473567\pi\) |
0.704113 | + | 0.710088i | \(0.251345\pi\) | |||||||
\(728\) | −0.143225 | −0.00530826 | ||||||||
\(729\) | 19.8516 | + | 18.3006i | 0.735246 | + | 0.677801i | ||||
\(730\) | −19.1522 | −0.708853 | ||||||||
\(731\) | 42.9213 | − | 15.6221i | 1.58750 | − | 0.577804i | ||||
\(732\) | −7.63379 | − | 0.952463i | −0.282153 | − | 0.0352041i | ||||
\(733\) | −3.43760 | + | 2.88449i | −0.126971 | + | 0.106541i | −0.704062 | − | 0.710139i | \(-0.748632\pi\) |
0.577091 | + | 0.816680i | \(0.304188\pi\) | |||||||
\(734\) | −1.86052 | − | 10.5515i | −0.0686730 | − | 0.389464i | ||||
\(735\) | 6.81862 | − | 1.56017i | 0.251508 | − | 0.0575477i | ||||
\(736\) | 3.84135 | + | 3.22328i | 0.141594 | + | 0.118812i | ||||
\(737\) | 10.4210 | − | 18.0497i | 0.383862 | − | 0.664869i | ||||
\(738\) | 16.0907 | + | 4.07875i | 0.592307 | + | 0.150141i | ||||
\(739\) | 10.5005 | + | 18.1875i | 0.386269 | + | 0.669037i | 0.991944 | − | 0.126675i | \(-0.0404304\pi\) |
−0.605676 | + | 0.795712i | \(0.707097\pi\) | |||||||
\(740\) | 7.86886 | − | 44.6265i | 0.289265 | − | 1.64050i | ||||
\(741\) | 1.20755 | − | 0.780843i | 0.0443606 | − | 0.0286850i | ||||
\(742\) | −1.25678 | − | 0.457432i | −0.0461380 | − | 0.0167929i | ||||
\(743\) | 40.4804 | + | 14.7337i | 1.48508 | + | 0.540526i | 0.952150 | − | 0.305631i | \(-0.0988673\pi\) |
0.532934 | + | 0.846157i | \(0.321090\pi\) | |||||||
\(744\) | 0.0386202 | + | 0.765549i | 0.00141589 | + | 0.0280664i | ||||
\(745\) | −7.47001 | + | 42.3646i | −0.273680 | + | 1.55212i | ||||
\(746\) | 5.72958 | + | 9.92393i | 0.209775 | + | 0.363341i | ||||
\(747\) | −18.1564 | + | 1.83657i | −0.664308 | + | 0.0671967i | ||||
\(748\) | 5.43578 | − | 9.41504i | 0.198752 | − | 0.344248i | ||||
\(749\) | −10.8986 | − | 9.14497i | −0.398224 | − | 0.334150i | ||||
\(750\) | −30.0347 | − | 32.3348i | −1.09671 | − | 1.18070i | ||||
\(751\) | 0.403440 | + | 2.28802i | 0.0147217 | + | 0.0834912i | 0.991283 | − | 0.131747i | \(-0.0420585\pi\) |
−0.976562 | + | 0.215238i | \(0.930947\pi\) | |||||||
\(752\) | 0.648941 | − | 0.544526i | 0.0236645 | − | 0.0198568i | ||||
\(753\) | 18.7174 | − | 24.7380i | 0.682099 | − | 0.901504i | ||||
\(754\) | −0.131365 | + | 0.0478131i | −0.00478404 | + | 0.00174125i | ||||
\(755\) | −16.2377 | −0.590949 | ||||||||
\(756\) | 4.84002 | + | 1.89055i | 0.176030 | + | 0.0687587i | ||||
\(757\) | −43.3714 | −1.57636 | −0.788181 | − | 0.615444i | \(-0.788977\pi\) | ||||
−0.788181 | + | 0.615444i | \(0.788977\pi\) | |||||||
\(758\) | −24.2187 | + | 8.81490i | −0.879664 | + | 0.320172i | ||||
\(759\) | 6.31845 | + | 14.9666i | 0.229345 | + | 0.543254i | ||||
\(760\) | 17.9332 | − | 15.0477i | 0.650504 | − | 0.545838i | ||||
\(761\) | 3.90808 | + | 22.1638i | 0.141668 | + | 0.803438i | 0.969982 | + | 0.243175i | \(0.0781889\pi\) |
−0.828315 | + | 0.560263i | \(0.810700\pi\) | |||||||
\(762\) | −8.71257 | + | 28.2996i | −0.315623 | + | 1.02518i | ||||
\(763\) | 1.26896 | + | 1.06478i | 0.0459394 | + | 0.0385478i | ||||
\(764\) | 0.186150 | − | 0.322422i | 0.00673468 | − | 0.0116648i | ||||
\(765\) | −63.4112 | + | 30.6214i | −2.29264 | + | 1.10712i | ||||
\(766\) | 0.410680 | + | 0.711318i | 0.0148385 | + | 0.0257010i | ||||
\(767\) | −0.159081 | + | 0.902192i | −0.00574407 | + | 0.0325762i | ||||
\(768\) | −1.54173 | − | 0.789350i | −0.0556323 | − | 0.0284832i | ||||
\(769\) | 28.8724 | + | 10.5087i | 1.04117 | + | 0.378954i | 0.805323 | − | 0.592837i | \(-0.201992\pi\) |
0.235845 | + | 0.971791i | \(0.424214\pi\) | |||||||
\(770\) | −7.09823 | − | 2.58354i | −0.255802 | − | 0.0931044i | ||||
\(771\) | 44.1576 | + | 22.6083i | 1.59030 | + | 0.814217i | ||||
\(772\) | −4.62491 | + | 26.2292i | −0.166454 | + | 0.944009i | ||||
\(773\) | −1.62773 | − | 2.81931i | −0.0585454 | − | 0.101404i | 0.835267 | − | 0.549844i | \(-0.185313\pi\) |
−0.893813 | + | 0.448441i | \(0.851980\pi\) | |||||||
\(774\) | 1.73649 | − | 23.5117i | 0.0624169 | − | 0.845109i | ||||
\(775\) | −2.50246 | + | 4.33438i | −0.0898909 | + | 0.155696i | ||||
\(776\) | 5.33276 | + | 4.47472i | 0.191435 | + | 0.160633i | ||||
\(777\) | −5.71858 | + | 18.5747i | −0.205153 | + | 0.666363i | ||||
\(778\) | 2.03448 | + | 11.5381i | 0.0729395 | + | 0.413660i | ||||
\(779\) | −24.5707 | + | 20.6172i | −0.880335 | + | 0.738689i | ||||
\(780\) | −0.389643 | − | 0.922955i | −0.0139515 | − | 0.0330471i | ||||
\(781\) | −28.8181 | + | 10.4889i | −1.03119 | + | 0.375324i | ||||
\(782\) | 29.1457 | 1.04225 | ||||||||
\(783\) | 5.07038 | + | 0.118251i | 0.181201 | + | 0.00422596i | ||||
\(784\) | 1.00000 | 0.0357143 | ||||||||
\(785\) | 66.6184 | − | 24.2471i | 2.37771 | − | 0.865417i | ||||
\(786\) | −2.28276 | + | 3.01703i | −0.0814232 | + | 0.107614i | ||||
\(787\) | −21.4591 | + | 18.0063i | −0.764933 | + | 0.641855i | −0.939406 | − | 0.342807i | \(-0.888622\pi\) |
0.174473 | + | 0.984662i | \(0.444178\pi\) | |||||||
\(788\) | 1.04506 | + | 5.92681i | 0.0372286 | + | 0.211134i | ||||
\(789\) | −29.6497 | − | 31.9203i | −1.05556 | − | 1.13639i | ||||
\(790\) | 43.0610 | + | 36.1325i | 1.53204 | + | 1.28554i | ||||
\(791\) | −6.51616 | + | 11.2863i | −0.231688 | + | 0.401295i | ||||
\(792\) | −3.28051 | − | 4.55255i | −0.116568 | − | 0.161768i | ||||
\(793\) | −0.318069 | − | 0.550912i | −0.0112950 | − | 0.0195635i | ||||
\(794\) | 2.97368 | − | 16.8646i | 0.105532 | − | 0.598501i | ||||
\(795\) | −0.471349 | − | 9.34330i | −0.0167170 | − | 0.331373i | ||||
\(796\) | 7.10932 | + | 2.58758i | 0.251983 | + | 0.0917144i | ||||
\(797\) | −35.2074 | − | 12.8144i | −1.24711 | − | 0.453910i | −0.367685 | − | 0.929950i | \(-0.619849\pi\) |
−0.879424 | + | 0.476040i | \(0.842072\pi\) | |||||||
\(798\) | −8.43119 | + | 5.45187i | −0.298461 | + | 0.192994i | ||||
\(799\) | 0.854999 | − | 4.84894i | 0.0302477 | − | 0.171543i | ||||
\(800\) | −5.65461 | − | 9.79407i | −0.199921 | − | 0.346273i | ||||
\(801\) | −30.7019 | + | 31.5450i | −1.08480 | + | 1.11459i | ||||
\(802\) | −13.3571 | + | 23.1352i | −0.471657 | + | 0.816934i | ||||
\(803\) | −6.79521 | − | 5.70185i | −0.239798 | − | 0.201214i | ||||
\(804\) | −18.8136 | + | 4.30474i | −0.663504 | + | 0.151816i | ||||
\(805\) | −3.51655 | − | 19.9433i | −0.123942 | − | 0.702911i | ||||
\(806\) | −0.0485552 | + | 0.0407427i | −0.00171028 | + | 0.00143510i | ||||
\(807\) | −32.3947 | − | 4.04186i | −1.14035 | − | 0.142280i | ||||
\(808\) | −4.89978 | + | 1.78337i | −0.172374 | + | 0.0627389i | ||||
\(809\) | −0.163456 | −0.00574679 | −0.00287340 | − | 0.999996i | \(-0.500915\pi\) | ||||
−0.00287340 | + | 0.999996i | \(0.500915\pi\) | |||||||
\(810\) | 0.984399 | + | 36.3329i | 0.0345883 | + | 1.27661i | ||||
\(811\) | −8.72251 | −0.306289 | −0.153144 | − | 0.988204i | \(-0.548940\pi\) | ||||
−0.153144 | + | 0.988204i | \(0.548940\pi\) | |||||||
\(812\) | 0.917198 | − | 0.333833i | 0.0321873 | − | 0.0117152i | ||||
\(813\) | −14.2584 | − | 1.77901i | −0.500064 | − | 0.0623926i | ||||
\(814\) | 16.0778 | − | 13.4909i | 0.563527 | − | 0.472855i | ||||
\(815\) | 13.7436 | + | 77.9438i | 0.481417 | + | 2.73025i | ||||
\(816\) | −9.81350 | + | 2.24543i | −0.343541 | + | 0.0786057i | ||||
\(817\) | 34.8967 | + | 29.2818i | 1.22088 | + | 1.02444i | ||||
\(818\) | 11.2721 | − | 19.5239i | 0.394120 | − | 0.682636i | ||||
\(819\) | 0.116818 | + | 0.413489i | 0.00408197 | + | 0.0144485i | ||||
\(820\) | 11.1728 | + | 19.3519i | 0.390172 | + | 0.675798i | ||||
\(821\) | −1.29006 | + | 7.31627i | −0.0450232 | + | 0.255339i | −0.999009 | − | 0.0445130i | \(-0.985826\pi\) |
0.953986 | + | 0.299853i | \(0.0969375\pi\) | |||||||
\(822\) | −7.95054 | + | 5.14107i | −0.277307 | + | 0.179315i | ||||
\(823\) | 12.1850 | + | 4.43499i | 0.424744 | + | 0.154594i | 0.545543 | − | 0.838083i | \(-0.316323\pi\) |
−0.120799 | + | 0.992677i | \(0.538546\pi\) | |||||||
\(824\) | −4.71571 | − | 1.71638i | −0.164280 | − | 0.0597929i | ||||
\(825\) | −1.84600 | − | 36.5922i | −0.0642693 | − | 1.27398i | ||||
\(826\) | 1.11071 | − | 6.29914i | 0.0386465 | − | 0.219175i | ||||
\(827\) | 4.47828 | + | 7.75661i | 0.155725 | + | 0.269724i | 0.933323 | − | 0.359038i | \(-0.116895\pi\) |
−0.777598 | + | 0.628762i | \(0.783562\pi\) | |||||||
\(828\) | 6.17246 | − | 13.7190i | 0.214508 | − | 0.476767i | ||||
\(829\) | −12.8355 | + | 22.2317i | −0.445794 | + | 0.772139i | −0.998107 | − | 0.0614984i | \(-0.980412\pi\) |
0.552313 | + | 0.833637i | \(0.313745\pi\) | |||||||
\(830\) | −18.8187 | − | 15.7908i | −0.653206 | − | 0.548105i | ||||
\(831\) | −19.5473 | − | 21.0443i | −0.678089 | − | 0.730018i | ||||
\(832\) | −0.0248707 | − | 0.141049i | −0.000862236 | − | 0.00488999i | ||||
\(833\) | 4.45244 | − | 3.73604i | 0.154268 | − | 0.129446i | ||||
\(834\) | 1.29611 | − | 1.71302i | 0.0448807 | − | 0.0593171i | ||||
\(835\) | −41.4850 | + | 15.0993i | −1.43565 | + | 0.522534i | ||||
\(836\) | 10.8426 | 0.375000 | ||||||||
\(837\) | 2.17864 | − | 0.735902i | 0.0753047 | − | 0.0254365i | ||||
\(838\) | 9.80584 | 0.338737 | ||||||||
\(839\) | −1.10443 | + | 0.401981i | −0.0381293 | + | 0.0138779i | −0.361014 | − | 0.932560i | \(-0.617569\pi\) |
0.322885 | + | 0.946438i | \(0.395347\pi\) | |||||||
\(840\) | 2.72051 | + | 6.44411i | 0.0938664 | + | 0.222343i | ||||
\(841\) | −21.4855 | + | 18.0285i | −0.740879 | + | 0.621671i | ||||
\(842\) | 2.01256 | + | 11.4138i | 0.0693572 | + | 0.393344i | ||||
\(843\) | 15.1736 | − | 49.2858i | 0.522606 | − | 1.69749i | ||||
\(844\) | −14.3790 | − | 12.0654i | −0.494946 | − | 0.415309i | ||||
\(845\) | −26.2086 | + | 45.3946i | −0.901604 | + | 1.56162i | ||||
\(846\) | −2.10134 | − | 1.42936i | −0.0722456 | − | 0.0491423i | ||||
\(847\) | 3.75070 | + | 6.49640i | 0.128875 | + | 0.223219i | ||||
\(848\) | 0.232244 | − | 1.31712i | 0.00797531 | − | 0.0452302i | ||||
\(849\) | 25.3349 | + | 12.9712i | 0.869492 | + | 0.445172i | ||||
\(850\) | −61.7678 | − | 22.4816i | −2.11862 | − | 0.771114i | ||||
\(851\) | 52.8739 | + | 19.2445i | 1.81249 | + | 0.659693i | ||||
\(852\) | 25.2779 | + | 12.9420i | 0.866006 | + | 0.443387i | ||||
\(853\) | −7.30021 | + | 41.4015i | −0.249954 | + | 1.41756i | 0.558745 | + | 0.829340i | \(0.311283\pi\) |
−0.808699 | + | 0.588222i | \(0.799828\pi\) | |||||||
\(854\) | 2.22077 | + | 3.84649i | 0.0759933 | + | 0.131624i | ||||
\(855\) | −58.0695 | − | 39.4996i | −1.98594 | − | 1.35086i | ||||
\(856\) | 7.11353 | − | 12.3210i | 0.243135 | − | 0.421123i | ||||
\(857\) | −27.8299 | − | 23.3521i | −0.950652 | − | 0.797692i | 0.0287551 | − | 0.999586i | \(-0.490846\pi\) |
−0.979407 | + | 0.201895i | \(0.935290\pi\) | |||||||
\(858\) | 0.136530 | − | 0.443467i | 0.00466106 | − | 0.0151397i | ||||
\(859\) | −4.10982 | − | 23.3080i | −0.140225 | − | 0.795257i | −0.971078 | − | 0.238764i | \(-0.923258\pi\) |
0.830852 | − | 0.556493i | \(-0.187853\pi\) | |||||||
\(860\) | 24.3116 | − | 20.3999i | 0.829019 | − | 0.695630i | ||||
\(861\) | −3.72743 | − | 8.82922i | −0.127030 | − | 0.300899i | ||||
\(862\) | −24.6288 | + | 8.96416i | −0.838861 | + | 0.305320i | ||||
\(863\) | −2.73750 | −0.0931856 | −0.0465928 | − | 0.998914i | \(-0.514836\pi\) | ||||
−0.0465928 | + | 0.998914i | \(0.514836\pi\) | |||||||
\(864\) | −1.02137 | + | 5.09478i | −0.0347477 | + | 0.173328i | ||||
\(865\) | 8.14020 | 0.276775 | ||||||||
\(866\) | −1.32717 | + | 0.483051i | −0.0450991 | + | 0.0164147i | ||||
\(867\) | −17.5387 | + | 23.1802i | −0.595645 | + | 0.787241i | ||||
\(868\) | 0.339014 | − | 0.284467i | 0.0115069 | − | 0.00965543i | ||||
\(869\) | 4.52097 | + | 25.6397i | 0.153363 | + | 0.869767i | ||||
\(870\) | 4.64649 | + | 5.00232i | 0.157531 | + | 0.169595i | ||||
\(871\) | −1.22254 | − | 1.02583i | −0.0414242 | − | 0.0347590i | ||||
\(872\) | −0.828255 | + | 1.43458i | −0.0280483 | + | 0.0485810i | ||||
\(873\) | 8.56893 | − | 19.0454i | 0.290014 | − | 0.644588i | ||||
\(874\) | 14.5340 | + | 25.1737i | 0.491621 | + | 0.851513i | ||||
\(875\) | −4.42448 | + | 25.0925i | −0.149575 | + | 0.848280i | ||||
\(876\) | 0.413859 | + | 8.20370i | 0.0139830 | + | 0.277177i | ||||
\(877\) | −17.4075 | − | 6.33580i | −0.587808 | − | 0.213945i | 0.0309570 | − | 0.999521i | \(-0.490145\pi\) |
−0.618765 | + | 0.785576i | \(0.712367\pi\) | |||||||
\(878\) | −14.0759 | − | 5.12319i | −0.475037 | − | 0.172899i | ||||
\(879\) | −17.6476 | + | 11.4115i | −0.595238 | + | 0.384900i | ||||
\(880\) | 1.31170 | − | 7.43902i | 0.0442174 | − | 0.250769i | ||||
\(881\) | −6.37779 | − | 11.0467i | −0.214873 | − | 0.372171i | 0.738360 | − | 0.674407i | \(-0.235600\pi\) |
−0.953233 | + | 0.302235i | \(0.902267\pi\) | |||||||
\(882\) | −0.815631 | − | 2.88700i | −0.0274637 | − | 0.0972102i | ||||
\(883\) | 3.07944 | − | 5.33374i | 0.103631 | − | 0.179495i | −0.809547 | − | 0.587055i | \(-0.800287\pi\) |
0.913178 | + | 0.407561i | \(0.133620\pi\) | |||||||
\(884\) | −0.637699 | − | 0.535093i | −0.0214481 | − | 0.0179971i | ||||
\(885\) | 43.6140 | − | 9.97932i | 1.46607 | − | 0.335451i | ||||
\(886\) | 4.22405 | + | 23.9558i | 0.141910 | + | 0.804809i | ||||
\(887\) | 38.1604 | − | 32.0204i | 1.28130 | − | 1.07514i | 0.288237 | − | 0.957559i | \(-0.406931\pi\) |
0.993063 | − | 0.117580i | \(-0.0375136\pi\) | |||||||
\(888\) | −19.2855 | − | 2.40624i | −0.647180 | − | 0.0807482i | ||||
\(889\) | 16.0646 | − | 5.84702i | 0.538788 | − | 0.196103i | ||||
\(890\) | −59.2568 | −1.98629 | ||||||||
\(891\) | −10.4675 | + | 13.1840i | −0.350675 | + | 0.441681i | ||||
\(892\) | 3.90511 | 0.130753 | ||||||||
\(893\) | 4.61449 | − | 1.67954i | 0.154418 | − | 0.0562036i | ||||
\(894\) | 18.3080 | + | 2.28428i | 0.612311 | + | 0.0763977i | ||||
\(895\) | 32.5691 | − | 27.3287i | 1.08866 | − | 0.913498i | ||||
\(896\) | 0.173648 | + | 0.984808i | 0.00580118 | + | 0.0329001i | ||||
\(897\) | 1.21263 | − | 0.277461i | 0.0404885 | − | 0.00926417i | ||||
\(898\) | −1.39375 | − | 1.16949i | −0.0465100 | − | 0.0390265i | ||||
\(899\) | 0.215979 | − | 0.374086i | 0.00720330 | − | 0.0124765i | ||||
\(900\) | −23.6634 | + | 24.3132i | −0.788779 | + | 0.810439i | ||||
\(901\) | −3.88677 | − | 6.73209i | −0.129487 | − | 0.224278i | ||||
\(902\) | −1.79719 | + | 10.1924i | −0.0598399 | + | 0.339369i | ||||
\(903\) | −11.4300 | + | 7.39099i | −0.380366 | + | 0.245957i | ||||
\(904\) | −12.2464 | − | 4.45732i | −0.407309 | − | 0.148248i | ||||
\(905\) | −101.555 | − | 36.9632i | −3.37582 | − | 1.22870i | ||||
\(906\) | 0.350879 | + | 6.95530i | 0.0116572 | + | 0.231074i | ||||
\(907\) | 6.41155 | − | 36.3617i | 0.212892 | − | 1.20737i | −0.671635 | − | 0.740882i | \(-0.734408\pi\) |
0.884527 | − | 0.466488i | \(-0.154481\pi\) | |||||||
\(908\) | 6.83626 | + | 11.8407i | 0.226869 | + | 0.392949i | ||||
\(909\) | 9.14501 | + | 12.6911i | 0.303321 | + | 0.420936i | ||||
\(910\) | −0.289204 | + | 0.500916i | −0.00958702 | + | 0.0166052i | ||||
\(911\) | 6.37149 | + | 5.34631i | 0.211097 | + | 0.177131i | 0.742205 | − | 0.670173i | \(-0.233780\pi\) |
−0.531109 | + | 0.847304i | \(0.678224\pi\) | |||||||
\(912\) | −6.83311 | − | 7.35639i | −0.226267 | − | 0.243594i | ||||
\(913\) | −1.97577 | − | 11.2052i | −0.0653885 | − | 0.370836i | ||||
\(914\) | 4.55296 | − | 3.82038i | 0.150598 | − | 0.126367i | ||||
\(915\) | −18.7456 | + | 24.7753i | −0.619710 | + | 0.819046i | ||||
\(916\) | −4.27135 | + | 1.55464i | −0.141129 | + | 0.0513669i | ||||
\(917\) | 2.18430 | 0.0721318 | ||||||||
\(918\) | 14.4867 | + | 26.5001i | 0.478133 | + | 0.874633i | ||||
\(919\) | 48.0324 | 1.58444 | 0.792222 | − | 0.610233i | \(-0.208924\pi\) | ||||
0.792222 | + | 0.610233i | \(0.208924\pi\) | |||||||
\(920\) | 19.0297 | − | 6.92625i | 0.627391 | − | 0.228352i | ||||
\(921\) | −15.6732 | − | 37.1254i | −0.516450 | − | 1.22332i | ||||
\(922\) | 5.45421 | − | 4.57663i | 0.179625 | − | 0.150723i | ||||
\(923\) | 0.407775 | + | 2.31261i | 0.0134221 | + | 0.0761204i | ||||
\(924\) | −0.953258 | + | 3.09631i | −0.0313599 | + | 0.101861i | ||||
\(925\) | −97.2101 | − | 81.5690i | −3.19625 | − | 2.68197i | ||||
\(926\) | 8.78072 | − | 15.2087i | 0.288552 | − | 0.499787i | ||||
\(927\) | −1.10890 | + | 15.0142i | −0.0364209 | + | 0.493130i | ||||
\(928\) | 0.488031 | + | 0.845294i | 0.0160204 | + | 0.0277481i | ||||
\(929\) | −1.19808 | + | 6.79464i | −0.0393077 | + | 0.222925i | −0.998133 | − | 0.0610698i | \(-0.980549\pi\) |
0.958826 | + | 0.283995i | \(0.0916599\pi\) | |||||||
\(930\) | 2.75542 | + | 1.41075i | 0.0903539 | + | 0.0462603i | ||||
\(931\) | 5.44719 | + | 1.98261i | 0.178524 | + | 0.0649776i | ||||
\(932\) | 25.4439 | + | 9.26082i | 0.833442 | + | 0.303348i | ||||
\(933\) | −2.07478 | − | 1.06227i | −0.0679252 | − | 0.0347770i | ||||
\(934\) | −3.78034 | + | 21.4393i | −0.123696 | + | 0.701517i | ||||
\(935\) | −21.9522 | − | 38.0223i | −0.717914 | − | 1.24346i | ||||
\(936\) | −0.386922 | + | 0.186845i | −0.0126469 | + | 0.00610723i | ||||
\(937\) | −19.9847 | + | 34.6145i | −0.652872 | + | 1.13081i | 0.329551 | + | 0.944138i | \(0.393103\pi\) |
−0.982423 | + | 0.186670i | \(0.940231\pi\) | |||||||
\(938\) | 8.53583 | + | 7.16241i | 0.278705 | + | 0.233861i | ||||
\(939\) | 9.74248 | − | 31.6448i | 0.317934 | − | 1.03269i | ||||
\(940\) | −0.594071 | − | 3.36914i | −0.0193765 | − | 0.109889i | ||||
\(941\) | 26.6225 | − | 22.3389i | 0.867868 | − | 0.728228i | −0.0957799 | − | 0.995403i | \(-0.530534\pi\) |
0.963648 | + | 0.267175i | \(0.0860901\pi\) | |||||||
\(942\) | −11.8257 | − | 28.0116i | −0.385301 | − | 0.912667i | ||||
\(943\) | −26.0731 | + | 9.48982i | −0.849056 | + | 0.309031i | ||||
\(944\) | 6.39631 | 0.208182 | ||||||||
\(945\) | 16.3852 | − | 13.1101i | 0.533010 | − | 0.426472i | ||||
\(946\) | 14.6991 | 0.477909 | ||||||||
\(947\) | 44.9320 | − | 16.3539i | 1.46009 | − | 0.531430i | 0.514702 | − | 0.857369i | \(-0.327903\pi\) |
0.945391 | + | 0.325939i | \(0.105680\pi\) | |||||||
\(948\) | 14.5466 | − | 19.2257i | 0.472452 | − | 0.624421i | ||||
\(949\) | −0.520323 | + | 0.436603i | −0.0168904 | + | 0.0141727i | ||||
\(950\) | −11.3838 | − | 64.5610i | −0.369341 | − | 2.09464i | ||||
\(951\) | −12.9891 | − | 13.9838i | −0.421201 | − | 0.453456i | ||||
\(952\) | 4.45244 | + | 3.73604i | 0.144304 | + | 0.121086i | ||||
\(953\) | 6.17451 | − | 10.6946i | 0.200012 | − | 0.346431i | −0.748520 | − | 0.663112i | \(-0.769235\pi\) |
0.948532 | + | 0.316681i | \(0.102569\pi\) | |||||||
\(954\) | −3.99196 | + | 0.403798i | −0.129244 | + | 0.0130735i | ||||
\(955\) | −0.751761 | − | 1.30209i | −0.0243264 | − | 0.0421346i | ||||
\(956\) | 0.319416 | − | 1.81150i | 0.0103306 | − | 0.0585880i | ||||
\(957\) | 0.159322 | + | 3.15815i | 0.00515014 | + | 0.102089i | ||||
\(958\) | 25.0716 | + | 9.12532i | 0.810027 | + | 0.294826i | ||||
\(959\) | 5.13665 | + | 1.86959i | 0.165871 | + | 0.0603722i | ||||
\(960\) | −5.87379 | + | 3.79818i | −0.189576 | + | 0.122586i | ||||
\(961\) | −5.34908 | + | 30.3362i | −0.172551 | + | 0.978586i | ||||
\(962\) | −0.803550 | − | 1.39179i | −0.0259075 | − | 0.0448731i | ||||
\(963\) | −41.3727 | − | 10.4873i | −1.33322 | − | 0.337950i | ||||
\(964\) | 7.41681 | − | 12.8463i | 0.238880 | − | 0.413751i | ||||
\(965\) | 82.3956 | + | 69.1381i | 2.65241 | + | 2.22563i | ||||
\(966\) | −8.46661 | + | 1.93725i | −0.272409 | + | 0.0623299i | ||||
\(967\) | −1.29585 | − | 7.34915i | −0.0416718 | − | 0.236333i | 0.956857 | − | 0.290560i | \(-0.0938416\pi\) |
−0.998529 | + | 0.0542272i | \(0.982730\pi\) | |||||||
\(968\) | −5.74640 | + | 4.82180i | −0.184696 | + | 0.154979i | ||||
\(969\) | −57.9078 | − | 7.22511i | −1.86027 | − | 0.232104i | ||||
\(970\) | 26.4180 | − | 9.61538i | 0.848232 | − | 0.308731i | ||||
\(971\) | 15.8911 | 0.509971 | 0.254986 | − | 0.966945i | \(-0.417929\pi\) | ||||
0.254986 | + | 0.966945i | \(0.417929\pi\) | |||||||
\(972\) | 15.5417 | − | 1.20678i | 0.498499 | − | 0.0387074i | ||||
\(973\) | −1.24021 | −0.0397592 | ||||||||
\(974\) | 0.445514 | − | 0.162154i | 0.0142752 | − | 0.00519574i | ||||
\(975\) | −2.78392 | − | 0.347348i | −0.0891567 | − | 0.0111240i | ||||
\(976\) | −3.40242 | + | 2.85497i | −0.108909 | + | 0.0913854i | ||||
\(977\) | 2.64785 | + | 15.0167i | 0.0847121 | + | 0.480426i | 0.997418 | + | 0.0718100i | \(0.0228775\pi\) |
−0.912706 | + | 0.408616i | \(0.866011\pi\) | |||||||
\(978\) | 33.0897 | − | 7.57127i | 1.05809 | − | 0.242102i | ||||
\(979\) | −21.0244 | − | 17.6415i | −0.671942 | − | 0.563826i | ||||
\(980\) | 2.01923 | − | 3.49741i | 0.0645020 | − | 0.111721i | ||||
\(981\) | 4.81718 | + | 1.22108i | 0.153801 | + | 0.0389861i | ||||
\(982\) | −12.8018 | − | 22.1734i | −0.408522 | − | 0.707581i | ||||
\(983\) | −0.491206 | + | 2.78577i | −0.0156670 | + | 0.0888522i | −0.991639 | − | 0.129045i | \(-0.958809\pi\) |
0.975972 | + | 0.217897i | \(0.0699198\pi\) | |||||||
\(984\) | 8.04783 | − | 5.20398i | 0.256555 | − | 0.165897i | ||||
\(985\) | 22.8387 | + | 8.31262i | 0.727703 | + | 0.264862i | ||||
\(986\) | 5.33098 | + | 1.94032i | 0.169773 | + | 0.0617923i | ||||
\(987\) | 0.0739268 | + | 1.46541i | 0.00235312 | + | 0.0466446i | ||||
\(988\) | 0.144170 | − | 0.817628i | 0.00458665 | − | 0.0260122i | ||||
\(989\) | 19.7035 | + | 34.1275i | 0.626535 | + | 1.08519i | ||||
\(990\) | −22.5463 | + | 2.28062i | −0.716567 | + | 0.0724829i | ||||
\(991\) | 3.04645 | − | 5.27661i | 0.0967737 | − | 0.167617i | −0.813574 | − | 0.581462i | \(-0.802481\pi\) |
0.910347 | + | 0.413845i | \(0.135814\pi\) | |||||||
\(992\) | 0.339014 | + | 0.284467i | 0.0107637 | + | 0.00903183i | ||||
\(993\) | 12.0120 | + | 12.9319i | 0.381191 | + | 0.410382i | ||||
\(994\) | −2.84710 | − | 16.1467i | −0.0903046 | − | 0.512143i | ||||
\(995\) | 23.4052 | − | 19.6393i | 0.741995 | − | 0.622608i | ||||
\(996\) | −6.35721 | + | 8.40208i | −0.201436 | + | 0.266230i | ||||
\(997\) | 47.9253 | − | 17.4434i | 1.51781 | − | 0.552438i | 0.557210 | − | 0.830372i | \(-0.311872\pi\) |
0.960600 | + | 0.277934i | \(0.0896496\pi\) | |||||||
\(998\) | 32.3726 | 1.02474 | ||||||||
\(999\) | 8.78306 | + | 57.6398i | 0.277884 | + | 1.82364i |
(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 | 378.2.u.b.169.2 | yes | 12 | |
27.4 | even | 9 | inner | 378.2.u.b.85.2 | ✓ | 12 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
378.2.u.b.85.2 | ✓ | 12 | 27.4 | even | 9 | inner | |
378.2.u.b.169.2 | yes | 12 | 1.1 | even | 1 | trivial |