Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [546,2,Mod(145,546)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(546, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 10, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("546.145");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 546.cg (of order \(12\), degree \(4\), 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: | \(4.35983195036\) |
Analytic rank: | \(0\) |
Dimension: | \(40\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 241.7 | ||
Character | \(\chi\) | \(=\) | 546.241 |
Dual form | 546.2.cg.b.145.7 |
$q$-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 \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).
\(n\) | \(157\) | \(365\) | \(379\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(1\) | \(e\left(\frac{11}{12}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.707107 | + | 0.707107i | 0.500000 | + | 0.500000i | ||||
\(3\) | −0.866025 | + | 0.500000i | −0.500000 | + | 0.288675i | ||||
\(4\) | 1.00000i | 0.500000i | ||||||||
\(5\) | −1.42776 | − | 0.382567i | −0.638513 | − | 0.171089i | −0.0749833 | − | 0.997185i | \(-0.523890\pi\) |
−0.563530 | + | 0.826096i | \(0.690557\pi\) | |||||||
\(6\) | −0.965926 | − | 0.258819i | −0.394338 | − | 0.105662i | ||||
\(7\) | 0.349274 | − | 2.62260i | 0.132013 | − | 0.991248i | ||||
\(8\) | −0.707107 | + | 0.707107i | −0.250000 | + | 0.250000i | ||||
\(9\) | 0.500000 | − | 0.866025i | 0.166667 | − | 0.288675i | ||||
\(10\) | −0.739062 | − | 1.28009i | −0.233712 | − | 0.404801i | ||||
\(11\) | −5.63579 | − | 1.51010i | −1.69925 | − | 0.455314i | −0.726502 | − | 0.687164i | \(-0.758855\pi\) |
−0.972751 | + | 0.231851i | \(0.925522\pi\) | |||||||
\(12\) | −0.500000 | − | 0.866025i | −0.144338 | − | 0.250000i | ||||
\(13\) | −2.68146 | − | 2.41035i | −0.743702 | − | 0.668511i | ||||
\(14\) | 2.10143 | − | 1.60748i | 0.561631 | − | 0.429617i | ||||
\(15\) | 1.42776 | − | 0.382567i | 0.368646 | − | 0.0987783i | ||||
\(16\) | −1.00000 | −0.250000 | ||||||||
\(17\) | 6.94378 | 1.68411 | 0.842057 | − | 0.539388i | \(-0.181344\pi\) | ||||
0.842057 | + | 0.539388i | \(0.181344\pi\) | |||||||
\(18\) | 0.965926 | − | 0.258819i | 0.227671 | − | 0.0610042i | ||||
\(19\) | −1.37897 | − | 5.14638i | −0.316357 | − | 1.18066i | −0.922720 | − | 0.385472i | \(-0.874039\pi\) |
0.606363 | − | 0.795188i | \(-0.292628\pi\) | |||||||
\(20\) | 0.382567 | − | 1.42776i | 0.0855445 | − | 0.319257i | ||||
\(21\) | 1.00882 | + | 2.44587i | 0.220142 | + | 0.533733i | ||||
\(22\) | −2.91730 | − | 5.05291i | −0.621970 | − | 1.07728i | ||||
\(23\) | 0.769549i | 0.160462i | 0.996776 | + | 0.0802310i | \(0.0255658\pi\) | ||||
−0.996776 | + | 0.0802310i | \(0.974434\pi\) | |||||||
\(24\) | 0.258819 | − | 0.965926i | 0.0528312 | − | 0.197169i | ||||
\(25\) | −2.43799 | − | 1.40757i | −0.487598 | − | 0.281515i | ||||
\(26\) | −0.191699 | − | 3.60045i | −0.0375953 | − | 0.706107i | ||||
\(27\) | 1.00000i | 0.192450i | ||||||||
\(28\) | 2.62260 | + | 0.349274i | 0.495624 | + | 0.0660066i | ||||
\(29\) | −4.35699 | + | 7.54652i | −0.809072 | + | 1.40135i | 0.104435 | + | 0.994532i | \(0.466697\pi\) |
−0.913507 | + | 0.406823i | \(0.866637\pi\) | |||||||
\(30\) | 1.28009 | + | 0.739062i | 0.233712 | + | 0.134934i | ||||
\(31\) | −0.101593 | − | 0.379148i | −0.0182466 | − | 0.0680971i | 0.956202 | − | 0.292707i | \(-0.0945560\pi\) |
−0.974449 | + | 0.224610i | \(0.927889\pi\) | |||||||
\(32\) | −0.707107 | − | 0.707107i | −0.125000 | − | 0.125000i | ||||
\(33\) | 5.63579 | − | 1.51010i | 0.981064 | − | 0.262875i | ||||
\(34\) | 4.91000 | + | 4.91000i | 0.842057 | + | 0.842057i | ||||
\(35\) | −1.50200 | + | 3.61081i | −0.253884 | + | 0.610339i | ||||
\(36\) | 0.866025 | + | 0.500000i | 0.144338 | + | 0.0833333i | ||||
\(37\) | 4.14694 | − | 4.14694i | 0.681752 | − | 0.681752i | −0.278643 | − | 0.960395i | \(-0.589885\pi\) |
0.960395 | + | 0.278643i | \(0.0898845\pi\) | |||||||
\(38\) | 2.66396 | − | 4.61411i | 0.432151 | − | 0.748508i | ||||
\(39\) | 3.52738 | + | 0.746698i | 0.564834 | + | 0.119567i | ||||
\(40\) | 1.28009 | − | 0.739062i | 0.202401 | − | 0.116856i | ||||
\(41\) | −1.70135 | − | 6.34954i | −0.265707 | − | 0.991632i | −0.961816 | − | 0.273696i | \(-0.911754\pi\) |
0.696109 | − | 0.717936i | \(-0.254913\pi\) | |||||||
\(42\) | −1.01615 | + | 2.44283i | −0.156795 | + | 0.376937i | ||||
\(43\) | 0.142904 | − | 0.0825059i | 0.0217927 | − | 0.0125820i | −0.489064 | − | 0.872248i | \(-0.662662\pi\) |
0.510857 | + | 0.859666i | \(0.329328\pi\) | |||||||
\(44\) | 1.51010 | − | 5.63579i | 0.227657 | − | 0.849627i | ||||
\(45\) | −1.04519 | + | 1.04519i | −0.155808 | + | 0.155808i | ||||
\(46\) | −0.544153 | + | 0.544153i | −0.0802310 | + | 0.0802310i | ||||
\(47\) | 3.23250 | − | 12.0638i | 0.471508 | − | 1.75969i | −0.162847 | − | 0.986651i | \(-0.552068\pi\) |
0.634355 | − | 0.773041i | \(-0.281266\pi\) | |||||||
\(48\) | 0.866025 | − | 0.500000i | 0.125000 | − | 0.0721688i | ||||
\(49\) | −6.75602 | − | 1.83201i | −0.965145 | − | 0.261716i | ||||
\(50\) | −0.728614 | − | 2.71922i | −0.103042 | − | 0.384556i | ||||
\(51\) | −6.01349 | + | 3.47189i | −0.842057 | + | 0.486162i | ||||
\(52\) | 2.41035 | − | 2.68146i | 0.334256 | − | 0.371851i | ||||
\(53\) | −4.44772 | + | 7.70367i | −0.610941 | + | 1.05818i | 0.380141 | + | 0.924928i | \(0.375875\pi\) |
−0.991082 | + | 0.133252i | \(0.957458\pi\) | |||||||
\(54\) | −0.707107 | + | 0.707107i | −0.0962250 | + | 0.0962250i | ||||
\(55\) | 7.46883 | + | 4.31213i | 1.00710 | + | 0.581447i | ||||
\(56\) | 1.60748 | + | 2.10143i | 0.214809 | + | 0.280815i | ||||
\(57\) | 3.76741 | + | 3.76741i | 0.499005 | + | 0.499005i | ||||
\(58\) | −8.41705 | + | 2.25534i | −1.10521 | + | 0.296141i | ||||
\(59\) | 0.616913 | + | 0.616913i | 0.0803153 | + | 0.0803153i | 0.746123 | − | 0.665808i | \(-0.231913\pi\) |
−0.665808 | + | 0.746123i | \(0.731913\pi\) | |||||||
\(60\) | 0.382567 | + | 1.42776i | 0.0493892 | + | 0.184323i | ||||
\(61\) | 4.89047 | + | 2.82351i | 0.626160 | + | 0.361514i | 0.779264 | − | 0.626696i | \(-0.215593\pi\) |
−0.153103 | + | 0.988210i | \(0.548927\pi\) | |||||||
\(62\) | 0.196262 | − | 0.339935i | 0.0249253 | − | 0.0431718i | ||||
\(63\) | −2.09660 | − | 1.61378i | −0.264146 | − | 0.203317i | ||||
\(64\) | − | 1.00000i | − | 0.125000i | ||||||
\(65\) | 2.90635 | + | 4.46724i | 0.360488 | + | 0.554093i | ||||
\(66\) | 5.05291 | + | 2.91730i | 0.621970 | + | 0.359094i | ||||
\(67\) | −1.23791 | + | 4.61993i | −0.151234 | + | 0.564414i | 0.848164 | + | 0.529733i | \(0.177708\pi\) |
−0.999398 | + | 0.0346805i | \(0.988959\pi\) | |||||||
\(68\) | 6.94378i | 0.842057i | ||||||||
\(69\) | −0.384774 | − | 0.666449i | −0.0463214 | − | 0.0802310i | ||||
\(70\) | −3.61530 | + | 1.49116i | −0.432111 | + | 0.178227i | ||||
\(71\) | −1.36236 | + | 5.08439i | −0.161682 | + | 0.603406i | 0.836758 | + | 0.547573i | \(0.184448\pi\) |
−0.998440 | + | 0.0558333i | \(0.982218\pi\) | |||||||
\(72\) | 0.258819 | + | 0.965926i | 0.0305021 | + | 0.113835i | ||||
\(73\) | −8.94879 | + | 2.39782i | −1.04738 | + | 0.280644i | −0.741167 | − | 0.671321i | \(-0.765727\pi\) |
−0.306209 | + | 0.951964i | \(0.599061\pi\) | |||||||
\(74\) | 5.86465 | 0.681752 | ||||||||
\(75\) | 2.81515 | 0.325065 | ||||||||
\(76\) | 5.14638 | − | 1.37897i | 0.590330 | − | 0.158178i | ||||
\(77\) | −5.92883 | + | 14.2529i | −0.675653 | + | 1.62427i | ||||
\(78\) | 1.96624 | + | 3.02223i | 0.222633 | + | 0.342200i | ||||
\(79\) | −3.96454 | − | 6.86679i | −0.446046 | − | 0.772574i | 0.552079 | − | 0.833792i | \(-0.313835\pi\) |
−0.998124 | + | 0.0612181i | \(0.980501\pi\) | |||||||
\(80\) | 1.42776 | + | 0.382567i | 0.159628 | + | 0.0427723i | ||||
\(81\) | −0.500000 | − | 0.866025i | −0.0555556 | − | 0.0962250i | ||||
\(82\) | 3.28676 | − | 5.69284i | 0.362962 | − | 0.628669i | ||||
\(83\) | −9.29167 | + | 9.29167i | −1.01989 | + | 1.01989i | −0.0200956 | + | 0.999798i | \(0.506397\pi\) |
−0.999798 | + | 0.0200956i | \(0.993603\pi\) | |||||||
\(84\) | −2.44587 | + | 1.00882i | −0.266866 | + | 0.110071i | ||||
\(85\) | −9.91405 | − | 2.65646i | −1.07533 | − | 0.288134i | ||||
\(86\) | 0.159389 | + | 0.0427082i | 0.0171874 | + | 0.00460534i | ||||
\(87\) | − | 8.71398i | − | 0.934236i | ||||||
\(88\) | 5.05291 | − | 2.91730i | 0.538642 | − | 0.310985i | ||||
\(89\) | 6.30539 | + | 6.30539i | 0.668370 | + | 0.668370i | 0.957338 | − | 0.288969i | \(-0.0933124\pi\) |
−0.288969 | + | 0.957338i | \(0.593312\pi\) | |||||||
\(90\) | −1.47812 | −0.155808 | ||||||||
\(91\) | −7.25794 | + | 6.19050i | −0.760839 | + | 0.648941i | ||||
\(92\) | −0.769549 | −0.0802310 | ||||||||
\(93\) | 0.277556 | + | 0.277556i | 0.0287812 | + | 0.0287812i | ||||
\(94\) | 10.8161 | − | 6.24471i | 1.11560 | − | 0.644092i | ||||
\(95\) | 7.87533i | 0.807992i | ||||||||
\(96\) | 0.965926 | + | 0.258819i | 0.0985844 | + | 0.0264156i | ||||
\(97\) | 0.852159 | + | 0.228335i | 0.0865237 | + | 0.0231839i | 0.301821 | − | 0.953365i | \(-0.402405\pi\) |
−0.215297 | + | 0.976549i | \(0.569072\pi\) | |||||||
\(98\) | −3.48180 | − | 6.07265i | −0.351715 | − | 0.613430i | ||||
\(99\) | −4.12568 | + | 4.12568i | −0.414647 | + | 0.414647i | ||||
\(100\) | 1.40757 | − | 2.43799i | 0.140757 | − | 0.243799i | ||||
\(101\) | −5.98408 | − | 10.3647i | −0.595439 | − | 1.03133i | −0.993485 | − | 0.113965i | \(-0.963645\pi\) |
0.398046 | − | 0.917365i | \(-0.369688\pi\) | |||||||
\(102\) | −6.70718 | − | 1.79718i | −0.664110 | − | 0.177948i | ||||
\(103\) | −6.40446 | − | 11.0928i | −0.631050 | − | 1.09301i | −0.987337 | − | 0.158634i | \(-0.949291\pi\) |
0.356288 | − | 0.934376i | \(-0.384042\pi\) | |||||||
\(104\) | 3.60045 | − | 0.191699i | 0.353053 | − | 0.0187977i | ||||
\(105\) | −0.504639 | − | 3.87805i | −0.0492477 | − | 0.378459i | ||||
\(106\) | −8.59233 | + | 2.30231i | −0.834561 | + | 0.223620i | ||||
\(107\) | 2.65924 | 0.257078 | 0.128539 | − | 0.991704i | \(-0.458971\pi\) | ||||
0.128539 | + | 0.991704i | \(0.458971\pi\) | |||||||
\(108\) | −1.00000 | −0.0962250 | ||||||||
\(109\) | 14.4796 | − | 3.87980i | 1.38689 | − | 0.371617i | 0.513274 | − | 0.858225i | \(-0.328432\pi\) |
0.873621 | + | 0.486607i | \(0.161766\pi\) | |||||||
\(110\) | 2.23212 | + | 8.33039i | 0.212824 | + | 0.794272i | ||||
\(111\) | −1.51788 | + | 5.66482i | −0.144071 | + | 0.537681i | ||||
\(112\) | −0.349274 | + | 2.62260i | −0.0330033 | + | 0.247812i | ||||
\(113\) | 4.95793 | + | 8.58738i | 0.466403 | + | 0.807833i | 0.999264 | − | 0.0383697i | \(-0.0122165\pi\) |
−0.532861 | + | 0.846203i | \(0.678883\pi\) | |||||||
\(114\) | 5.32792i | 0.499005i | ||||||||
\(115\) | 0.294404 | − | 1.09873i | 0.0274533 | − | 0.102457i | ||||
\(116\) | −7.54652 | − | 4.35699i | −0.700677 | − | 0.404536i | ||||
\(117\) | −3.42815 | + | 1.11703i | −0.316933 | + | 0.103270i | ||||
\(118\) | 0.872447i | 0.0803153i | ||||||||
\(119\) | 2.42528 | − | 18.2107i | 0.222325 | − | 1.66938i | ||||
\(120\) | −0.739062 | + | 1.28009i | −0.0674668 | + | 0.116856i | ||||
\(121\) | 19.9554 | + | 11.5212i | 1.81413 | + | 1.04739i | ||||
\(122\) | 1.46156 | + | 5.45461i | 0.132323 | + | 0.493837i | ||||
\(123\) | 4.64819 | + | 4.64819i | 0.419113 | + | 0.419113i | ||||
\(124\) | 0.379148 | − | 0.101593i | 0.0340485 | − | 0.00912328i | ||||
\(125\) | 8.16833 | + | 8.16833i | 0.730598 | + | 0.730598i | ||||
\(126\) | −0.341405 | − | 2.62363i | −0.0304147 | − | 0.233732i | ||||
\(127\) | −9.01558 | − | 5.20515i | −0.800003 | − | 0.461882i | 0.0434689 | − | 0.999055i | \(-0.486159\pi\) |
−0.843472 | + | 0.537173i | \(0.819492\pi\) | |||||||
\(128\) | 0.707107 | − | 0.707107i | 0.0625000 | − | 0.0625000i | ||||
\(129\) | −0.0825059 | + | 0.142904i | −0.00726424 | + | 0.0125820i | ||||
\(130\) | −1.10371 | + | 5.21391i | −0.0968020 | + | 0.457290i | ||||
\(131\) | −3.41500 | + | 1.97165i | −0.298370 | + | 0.172264i | −0.641710 | − | 0.766947i | \(-0.721775\pi\) |
0.343340 | + | 0.939211i | \(0.388442\pi\) | |||||||
\(132\) | 1.51010 | + | 5.63579i | 0.131438 | + | 0.490532i | ||||
\(133\) | −13.9785 | + | 1.81898i | −1.21209 | + | 0.157725i | ||||
\(134\) | −4.14211 | + | 2.39145i | −0.357824 | + | 0.206590i | ||||
\(135\) | 0.382567 | − | 1.42776i | 0.0329261 | − | 0.122882i | ||||
\(136\) | −4.91000 | + | 4.91000i | −0.421029 | + | 0.421029i | ||||
\(137\) | −2.02014 | + | 2.02014i | −0.172592 | + | 0.172592i | −0.788117 | − | 0.615525i | \(-0.788944\pi\) |
0.615525 | + | 0.788117i | \(0.288944\pi\) | |||||||
\(138\) | 0.199174 | − | 0.743327i | 0.0169548 | − | 0.0632762i | ||||
\(139\) | 8.27684 | − | 4.77864i | 0.702033 | − | 0.405319i | −0.106071 | − | 0.994359i | \(-0.533827\pi\) |
0.808104 | + | 0.589040i | \(0.200494\pi\) | |||||||
\(140\) | −3.61081 | − | 1.50200i | −0.305169 | − | 0.126942i | ||||
\(141\) | 3.23250 | + | 12.0638i | 0.272225 | + | 1.01596i | ||||
\(142\) | −4.55854 | + | 2.63188i | −0.382544 | + | 0.220862i | ||||
\(143\) | 11.4722 | + | 17.6335i | 0.959356 | + | 1.47459i | ||||
\(144\) | −0.500000 | + | 0.866025i | −0.0416667 | + | 0.0721688i | ||||
\(145\) | 9.10778 | − | 9.10778i | 0.756360 | − | 0.756360i | ||||
\(146\) | −8.02326 | − | 4.63223i | −0.664010 | − | 0.383366i | ||||
\(147\) | 6.76689 | − | 1.79144i | 0.558123 | − | 0.147756i | ||||
\(148\) | 4.14694 | + | 4.14694i | 0.340876 | + | 0.340876i | ||||
\(149\) | −10.0910 | + | 2.70387i | −0.826686 | + | 0.221510i | −0.647267 | − | 0.762263i | \(-0.724088\pi\) |
−0.179419 | + | 0.983773i | \(0.557422\pi\) | |||||||
\(150\) | 1.99061 | + | 1.99061i | 0.162533 | + | 0.162533i | ||||
\(151\) | −1.16214 | − | 4.33716i | −0.0945734 | − | 0.352953i | 0.902381 | − | 0.430939i | \(-0.141818\pi\) |
−0.996954 | + | 0.0779863i | \(0.975151\pi\) | |||||||
\(152\) | 4.61411 | + | 2.66396i | 0.374254 | + | 0.216076i | ||||
\(153\) | 3.47189 | − | 6.01349i | 0.280686 | − | 0.486162i | ||||
\(154\) | −14.2707 | + | 5.88604i | −1.14996 | + | 0.474311i | ||||
\(155\) | 0.580198i | 0.0466027i | ||||||||
\(156\) | −0.746698 | + | 3.52738i | −0.0597837 | + | 0.282417i | ||||
\(157\) | 12.7423 | + | 7.35677i | 1.01695 | + | 0.587134i | 0.913218 | − | 0.407472i | \(-0.133590\pi\) |
0.103728 | + | 0.994606i | \(0.466923\pi\) | |||||||
\(158\) | 2.05220 | − | 7.65891i | 0.163264 | − | 0.609310i | ||||
\(159\) | − | 8.89544i | − | 0.705454i | ||||||
\(160\) | 0.739062 | + | 1.28009i | 0.0584280 | + | 0.101200i | ||||
\(161\) | 2.01821 | + | 0.268784i | 0.159058 | + | 0.0211831i | ||||
\(162\) | 0.258819 | − | 0.965926i | 0.0203347 | − | 0.0758903i | ||||
\(163\) | −5.94900 | − | 22.2020i | −0.465962 | − | 1.73899i | −0.653681 | − | 0.756771i | \(-0.726776\pi\) |
0.187719 | − | 0.982223i | \(-0.439891\pi\) | |||||||
\(164\) | 6.34954 | − | 1.70135i | 0.495816 | − | 0.132853i | ||||
\(165\) | −8.62426 | −0.671398 | ||||||||
\(166\) | −13.1404 | −1.01989 | ||||||||
\(167\) | 0.821354 | − | 0.220081i | 0.0635583 | − | 0.0170304i | −0.226900 | − | 0.973918i | \(-0.572859\pi\) |
0.290458 | + | 0.956888i | \(0.406192\pi\) | |||||||
\(168\) | −2.44283 | − | 1.01615i | −0.188469 | − | 0.0783977i | ||||
\(169\) | 1.38041 | + | 12.9265i | 0.106185 | + | 0.994346i | ||||
\(170\) | −5.13189 | − | 8.88869i | −0.393598 | − | 0.681731i | ||||
\(171\) | −5.14638 | − | 1.37897i | −0.393553 | − | 0.105452i | ||||
\(172\) | 0.0825059 | + | 0.142904i | 0.00629101 | + | 0.0108964i | ||||
\(173\) | 4.61652 | − | 7.99605i | 0.350988 | − | 0.607928i | −0.635435 | − | 0.772154i | \(-0.719179\pi\) |
0.986423 | + | 0.164226i | \(0.0525126\pi\) | |||||||
\(174\) | 6.16171 | − | 6.16171i | 0.467118 | − | 0.467118i | ||||
\(175\) | −4.54302 | + | 5.90223i | −0.343420 | + | 0.446167i | ||||
\(176\) | 5.63579 | + | 1.51010i | 0.424813 | + | 0.113828i | ||||
\(177\) | −0.842719 | − | 0.225806i | −0.0633426 | − | 0.0169726i | ||||
\(178\) | 8.91716i | 0.668370i | ||||||||
\(179\) | 9.04284 | − | 5.22088i | 0.675893 | − | 0.390227i | −0.122413 | − | 0.992479i | \(-0.539063\pi\) |
0.798306 | + | 0.602252i | \(0.205730\pi\) | |||||||
\(180\) | −1.04519 | − | 1.04519i | −0.0779040 | − | 0.0779040i | ||||
\(181\) | −1.21138 | −0.0900414 | −0.0450207 | − | 0.998986i | \(-0.514335\pi\) | ||||
−0.0450207 | + | 0.998986i | \(0.514335\pi\) | |||||||
\(182\) | −9.50948 | − | 0.754796i | −0.704890 | − | 0.0559492i | ||||
\(183\) | −5.64703 | −0.417440 | ||||||||
\(184\) | −0.544153 | − | 0.544153i | −0.0401155 | − | 0.0401155i | ||||
\(185\) | −7.50731 | + | 4.33434i | −0.551948 | + | 0.318667i | ||||
\(186\) | 0.392523i | 0.0287812i | ||||||||
\(187\) | −39.1337 | − | 10.4858i | −2.86174 | − | 0.766800i | ||||
\(188\) | 12.0638 | + | 3.23250i | 0.879846 | + | 0.235754i | ||||
\(189\) | 2.62260 | + | 0.349274i | 0.190766 | + | 0.0254060i | ||||
\(190\) | −5.56870 | + | 5.56870i | −0.403996 | + | 0.403996i | ||||
\(191\) | 12.4420 | − | 21.5502i | 0.900271 | − | 1.55932i | 0.0731296 | − | 0.997322i | \(-0.476701\pi\) |
0.827142 | − | 0.561993i | \(-0.189965\pi\) | |||||||
\(192\) | 0.500000 | + | 0.866025i | 0.0360844 | + | 0.0625000i | ||||
\(193\) | 17.9106 | + | 4.79914i | 1.28924 | + | 0.345450i | 0.837370 | − | 0.546636i | \(-0.184092\pi\) |
0.451866 | + | 0.892086i | \(0.350759\pi\) | |||||||
\(194\) | 0.441110 | + | 0.764025i | 0.0316699 | + | 0.0548538i | ||||
\(195\) | −4.75059 | − | 2.41556i | −0.340197 | − | 0.172982i | ||||
\(196\) | 1.83201 | − | 6.75602i | 0.130858 | − | 0.482573i | ||||
\(197\) | 0.939199 | − | 0.251658i | 0.0669152 | − | 0.0179299i | −0.225206 | − | 0.974311i | \(-0.572306\pi\) |
0.292121 | + | 0.956381i | \(0.405639\pi\) | |||||||
\(198\) | −5.83459 | −0.414647 | ||||||||
\(199\) | −1.17166 | −0.0830568 | −0.0415284 | − | 0.999137i | \(-0.513223\pi\) | ||||
−0.0415284 | + | 0.999137i | \(0.513223\pi\) | |||||||
\(200\) | 2.71922 | − | 0.728614i | 0.192278 | − | 0.0515208i | ||||
\(201\) | −1.23791 | − | 4.61993i | −0.0873151 | − | 0.325865i | ||||
\(202\) | 3.09759 | − | 11.5604i | 0.217946 | − | 0.813384i | ||||
\(203\) | 18.2697 | + | 14.0624i | 1.28228 | + | 0.986989i | ||||
\(204\) | −3.47189 | − | 6.01349i | −0.243081 | − | 0.421029i | ||||
\(205\) | 9.71649i | 0.678629i | ||||||||
\(206\) | 3.31519 | − | 12.3725i | 0.230980 | − | 0.862030i | ||||
\(207\) | 0.666449 | + | 0.384774i | 0.0463214 | + | 0.0267437i | ||||
\(208\) | 2.68146 | + | 2.41035i | 0.185925 | + | 0.167128i | ||||
\(209\) | 31.0863i | 2.15028i | ||||||||
\(210\) | 2.38537 | − | 3.09903i | 0.164606 | − | 0.213854i | ||||
\(211\) | 8.43264 | − | 14.6058i | 0.580527 | − | 1.00550i | −0.414890 | − | 0.909871i | \(-0.636180\pi\) |
0.995417 | − | 0.0956302i | \(-0.0304866\pi\) | |||||||
\(212\) | −7.70367 | − | 4.44772i | −0.529090 | − | 0.305471i | ||||
\(213\) | −1.36236 | − | 5.08439i | −0.0933473 | − | 0.348377i | ||||
\(214\) | 1.88037 | + | 1.88037i | 0.128539 | + | 0.128539i | ||||
\(215\) | −0.235597 | + | 0.0631280i | −0.0160676 | + | 0.00430529i | ||||
\(216\) | −0.707107 | − | 0.707107i | −0.0481125 | − | 0.0481125i | ||||
\(217\) | −1.02984 | + | 0.134009i | −0.0699099 | + | 0.00909714i | ||||
\(218\) | 12.9821 | + | 7.49520i | 0.879256 | + | 0.507639i | ||||
\(219\) | 6.55097 | − | 6.55097i | 0.442673 | − | 0.442673i | ||||
\(220\) | −4.31213 | + | 7.46883i | −0.290724 | + | 0.503548i | ||||
\(221\) | −18.6194 | − | 16.7370i | −1.25248 | − | 1.12585i | ||||
\(222\) | −5.07894 | + | 2.93233i | −0.340876 | + | 0.196805i | ||||
\(223\) | 0.0655089 | + | 0.244483i | 0.00438680 | + | 0.0163718i | 0.968085 | − | 0.250624i | \(-0.0806357\pi\) |
−0.963698 | + | 0.266996i | \(0.913969\pi\) | |||||||
\(224\) | −2.10143 | + | 1.60748i | −0.140408 | + | 0.107404i | ||||
\(225\) | −2.43799 | + | 1.40757i | −0.162533 | + | 0.0938383i | ||||
\(226\) | −2.56641 | + | 9.57798i | −0.170715 | + | 0.637118i | ||||
\(227\) | 1.18113 | − | 1.18113i | 0.0783942 | − | 0.0783942i | −0.666822 | − | 0.745217i | \(-0.732346\pi\) |
0.745217 | + | 0.666822i | \(0.232346\pi\) | |||||||
\(228\) | −3.76741 | + | 3.76741i | −0.249503 | + | 0.249503i | ||||
\(229\) | 6.94421 | − | 25.9161i | 0.458886 | − | 1.71259i | −0.217517 | − | 0.976056i | \(-0.569796\pi\) |
0.676404 | − | 0.736531i | \(-0.263537\pi\) | |||||||
\(230\) | 0.985094 | − | 0.568744i | 0.0649552 | − | 0.0375019i | ||||
\(231\) | −1.99196 | − | 15.3078i | −0.131061 | − | 1.00718i | ||||
\(232\) | −2.25534 | − | 8.41705i | −0.148071 | − | 0.552607i | ||||
\(233\) | 14.5436 | − | 8.39675i | 0.952783 | − | 0.550089i | 0.0588383 | − | 0.998268i | \(-0.481260\pi\) |
0.893944 | + | 0.448178i | \(0.147927\pi\) | |||||||
\(234\) | −3.21393 | − | 1.63421i | −0.210101 | − | 0.106832i | ||||
\(235\) | −9.23045 | + | 15.9876i | −0.602128 | + | 1.04292i | ||||
\(236\) | −0.616913 | + | 0.616913i | −0.0401576 | + | 0.0401576i | ||||
\(237\) | 6.86679 | + | 3.96454i | 0.446046 | + | 0.257525i | ||||
\(238\) | 14.5919 | − | 11.1620i | 0.945850 | − | 0.723525i | ||||
\(239\) | −1.66598 | − | 1.66598i | −0.107763 | − | 0.107763i | 0.651169 | − | 0.758933i | \(-0.274279\pi\) |
−0.758933 | + | 0.651169i | \(0.774279\pi\) | |||||||
\(240\) | −1.42776 | + | 0.382567i | −0.0921614 | + | 0.0246946i | ||||
\(241\) | 10.5050 | + | 10.5050i | 0.676688 | + | 0.676688i | 0.959249 | − | 0.282561i | \(-0.0911840\pi\) |
−0.282561 | + | 0.959249i | \(0.591184\pi\) | |||||||
\(242\) | 5.96384 | + | 22.2573i | 0.383370 | + | 1.43076i | ||||
\(243\) | 0.866025 | + | 0.500000i | 0.0555556 | + | 0.0320750i | ||||
\(244\) | −2.82351 | + | 4.89047i | −0.180757 | + | 0.313080i | ||||
\(245\) | 8.94509 | + | 5.20030i | 0.571481 | + | 0.332235i | ||||
\(246\) | 6.57353i | 0.419113i | ||||||||
\(247\) | −8.70694 | + | 17.1236i | −0.554009 | + | 1.08955i | ||||
\(248\) | 0.339935 | + | 0.196262i | 0.0215859 | + | 0.0124626i | ||||
\(249\) | 3.40099 | − | 12.6927i | 0.215529 | − | 0.804365i | ||||
\(250\) | 11.5518i | 0.730598i | ||||||||
\(251\) | 5.71406 | + | 9.89703i | 0.360668 | + | 0.624695i | 0.988071 | − | 0.154000i | \(-0.0492154\pi\) |
−0.627403 | + | 0.778695i | \(0.715882\pi\) | |||||||
\(252\) | 1.61378 | − | 2.09660i | 0.101658 | − | 0.132073i | ||||
\(253\) | 1.16210 | − | 4.33701i | 0.0730605 | − | 0.272666i | ||||
\(254\) | −2.69438 | − | 10.0556i | −0.169061 | − | 0.630943i | ||||
\(255\) | 9.91405 | − | 2.65646i | 0.620842 | − | 0.166354i | ||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | −9.52645 | −0.594244 | −0.297122 | − | 0.954840i | \(-0.596027\pi\) | ||||
−0.297122 | + | 0.954840i | \(0.596027\pi\) | |||||||
\(258\) | −0.159389 | + | 0.0427082i | −0.00992313 | + | 0.00265889i | ||||
\(259\) | −9.42732 | − | 12.3242i | −0.585785 | − | 0.765786i | ||||
\(260\) | −4.46724 | + | 2.90635i | −0.277046 | + | 0.180244i | ||||
\(261\) | 4.35699 | + | 7.54652i | 0.269691 | + | 0.467118i | ||||
\(262\) | −3.80894 | − | 1.02060i | −0.235317 | − | 0.0630530i | ||||
\(263\) | −11.5753 | − | 20.0490i | −0.713763 | − | 1.23627i | −0.963435 | − | 0.267943i | \(-0.913656\pi\) |
0.249672 | − | 0.968330i | \(-0.419677\pi\) | |||||||
\(264\) | −2.91730 | + | 5.05291i | −0.179547 | + | 0.310985i | ||||
\(265\) | 9.29744 | − | 9.29744i | 0.571137 | − | 0.571137i | ||||
\(266\) | −11.1705 | − | 8.59808i | −0.684907 | − | 0.527182i | ||||
\(267\) | −8.61332 | − | 2.30793i | −0.527126 | − | 0.141243i | ||||
\(268\) | −4.61993 | − | 1.23791i | −0.282207 | − | 0.0756171i | ||||
\(269\) | − | 27.4873i | − | 1.67593i | −0.545724 | − | 0.837965i | \(-0.683745\pi\) | ||
0.545724 | − | 0.837965i | \(-0.316255\pi\) | |||||||
\(270\) | 1.28009 | − | 0.739062i | 0.0779040 | − | 0.0449779i | ||||
\(271\) | 19.7563 | + | 19.7563i | 1.20011 | + | 1.20011i | 0.974133 | + | 0.225973i | \(0.0725562\pi\) |
0.225973 | + | 0.974133i | \(0.427444\pi\) | |||||||
\(272\) | −6.94378 | −0.421029 | ||||||||
\(273\) | 3.19031 | − | 8.99010i | 0.193086 | − | 0.544106i | ||||
\(274\) | −2.85691 | −0.172592 | ||||||||
\(275\) | 11.6144 | + | 11.6144i | 0.700375 | + | 0.700375i | ||||
\(276\) | 0.666449 | − | 0.384774i | 0.0401155 | − | 0.0231607i | ||||
\(277\) | 8.37932i | 0.503465i | 0.967797 | + | 0.251732i | \(0.0810003\pi\) | ||||
−0.967797 | + | 0.251732i | \(0.919000\pi\) | |||||||
\(278\) | 9.23162 | + | 2.47361i | 0.553676 | + | 0.148357i | ||||
\(279\) | −0.379148 | − | 0.101593i | −0.0226990 | − | 0.00608218i | ||||
\(280\) | −1.49116 | − | 3.61530i | −0.0891137 | − | 0.216056i | ||||
\(281\) | −2.04772 | + | 2.04772i | −0.122156 | + | 0.122156i | −0.765542 | − | 0.643386i | \(-0.777529\pi\) |
0.643386 | + | 0.765542i | \(0.277529\pi\) | |||||||
\(282\) | −6.24471 | + | 10.8161i | −0.371867 | + | 0.644092i | ||||
\(283\) | 0.449883 | + | 0.779221i | 0.0267428 | + | 0.0463199i | 0.879087 | − | 0.476661i | \(-0.158153\pi\) |
−0.852344 | + | 0.522981i | \(0.824820\pi\) | |||||||
\(284\) | −5.08439 | − | 1.36236i | −0.301703 | − | 0.0808411i | ||||
\(285\) | −3.93766 | − | 6.82024i | −0.233247 | − | 0.403996i | ||||
\(286\) | −4.35668 | + | 20.5809i | −0.257616 | + | 1.21697i | ||||
\(287\) | −17.2465 | + | 2.24423i | −1.01803 | + | 0.132473i | ||||
\(288\) | −0.965926 | + | 0.258819i | −0.0569177 | + | 0.0152511i | ||||
\(289\) | 31.2161 | 1.83624 | ||||||||
\(290\) | 12.8803 | 0.756360 | ||||||||
\(291\) | −0.852159 | + | 0.228335i | −0.0499545 | + | 0.0133853i | ||||
\(292\) | −2.39782 | − | 8.94879i | −0.140322 | − | 0.523688i | ||||
\(293\) | 8.10572 | − | 30.2510i | 0.473541 | − | 1.76728i | −0.153348 | − | 0.988172i | \(-0.549006\pi\) |
0.626889 | − | 0.779108i | \(-0.284328\pi\) | |||||||
\(294\) | 6.05165 | + | 3.51817i | 0.352939 | + | 0.205184i | ||||
\(295\) | −0.644793 | − | 1.11681i | −0.0375413 | − | 0.0650234i | ||||
\(296\) | 5.86465i | 0.340876i | ||||||||
\(297\) | 1.51010 | − | 5.63579i | 0.0876251 | − | 0.327021i | ||||
\(298\) | −9.04733 | − | 5.22348i | −0.524098 | − | 0.302588i | ||||
\(299\) | 1.85488 | − | 2.06351i | 0.107271 | − | 0.119336i | ||||
\(300\) | 2.81515i | 0.162533i | ||||||||
\(301\) | −0.166467 | − | 0.403597i | −0.00959498 | − | 0.0232630i | ||||
\(302\) | 2.24508 | − | 3.88859i | 0.129190 | − | 0.223763i | ||||
\(303\) | 10.3647 | + | 5.98408i | 0.595439 | + | 0.343777i | ||||
\(304\) | 1.37897 | + | 5.14638i | 0.0790892 | + | 0.295165i | ||||
\(305\) | −5.90223 | − | 5.90223i | −0.337960 | − | 0.337960i | ||||
\(306\) | 6.70718 | − | 1.79718i | 0.383424 | − | 0.102738i | ||||
\(307\) | 6.31072 | + | 6.31072i | 0.360172 | + | 0.360172i | 0.863876 | − | 0.503704i | \(-0.168030\pi\) |
−0.503704 | + | 0.863876i | \(0.668030\pi\) | |||||||
\(308\) | −14.2529 | − | 5.92883i | −0.812137 | − | 0.337826i | ||||
\(309\) | 11.0928 | + | 6.40446i | 0.631050 | + | 0.364337i | ||||
\(310\) | −0.410262 | + | 0.410262i | −0.0233013 | + | 0.0233013i | ||||
\(311\) | −0.856069 | + | 1.48276i | −0.0485432 | + | 0.0840793i | −0.889276 | − | 0.457371i | \(-0.848791\pi\) |
0.840733 | + | 0.541450i | \(0.182125\pi\) | |||||||
\(312\) | −3.02223 | + | 1.96624i | −0.171100 | + | 0.111317i | ||||
\(313\) | −10.9749 | + | 6.33634i | −0.620336 | + | 0.358151i | −0.777000 | − | 0.629501i | \(-0.783259\pi\) |
0.156664 | + | 0.987652i | \(0.449926\pi\) | |||||||
\(314\) | 3.80814 | + | 14.2122i | 0.214906 | + | 0.802040i | ||||
\(315\) | 2.37606 | + | 3.10617i | 0.133876 | + | 0.175013i | ||||
\(316\) | 6.86679 | − | 3.96454i | 0.386287 | − | 0.223023i | ||||
\(317\) | −3.56867 | + | 13.3185i | −0.200436 | + | 0.748039i | 0.790356 | + | 0.612648i | \(0.209896\pi\) |
−0.990792 | + | 0.135391i | \(0.956771\pi\) | |||||||
\(318\) | 6.29002 | − | 6.29002i | 0.352727 | − | 0.352727i | ||||
\(319\) | 35.9511 | − | 35.9511i | 2.01287 | − | 2.01287i | ||||
\(320\) | −0.382567 | + | 1.42776i | −0.0213861 | + | 0.0798141i | ||||
\(321\) | −2.30297 | + | 1.32962i | −0.128539 | + | 0.0742121i | ||||
\(322\) | 1.23703 | + | 1.61715i | 0.0689373 | + | 0.0901204i | ||||
\(323\) | −9.57525 | − | 35.7353i | −0.532781 | − | 1.98837i | ||||
\(324\) | 0.866025 | − | 0.500000i | 0.0481125 | − | 0.0277778i | ||||
\(325\) | 3.14461 | + | 9.65076i | 0.174432 | + | 0.535328i | ||||
\(326\) | 11.4926 | − | 19.9058i | 0.636516 | − | 1.10248i | ||||
\(327\) | −10.5998 | + | 10.5998i | −0.586171 | + | 0.586171i | ||||
\(328\) | 5.69284 | + | 3.28676i | 0.314335 | + | 0.181481i | ||||
\(329\) | −30.5096 | − | 12.6911i | −1.68205 | − | 0.699684i | ||||
\(330\) | −6.09827 | − | 6.09827i | −0.335699 | − | 0.335699i | ||||
\(331\) | −24.8601 | + | 6.66123i | −1.36643 | + | 0.366134i | −0.866174 | − | 0.499742i | \(-0.833428\pi\) |
−0.500258 | + | 0.865876i | \(0.666761\pi\) | |||||||
\(332\) | −9.29167 | − | 9.29167i | −0.509947 | − | 0.509947i | ||||
\(333\) | −1.51788 | − | 5.66482i | −0.0831795 | − | 0.310430i | ||||
\(334\) | 0.736406 | + | 0.425164i | 0.0402943 | + | 0.0232639i | ||||
\(335\) | 3.53486 | − | 6.12256i | 0.193130 | − | 0.334511i | ||||
\(336\) | −1.00882 | − | 2.44587i | −0.0550355 | − | 0.133433i | ||||
\(337\) | 33.5630i | 1.82829i | 0.405383 | + | 0.914147i | \(0.367138\pi\) | ||||
−0.405383 | + | 0.914147i | \(0.632862\pi\) | |||||||
\(338\) | −8.16432 | + | 10.1165i | −0.444081 | + | 0.550266i | ||||
\(339\) | −8.58738 | − | 4.95793i | −0.466403 | − | 0.269278i | ||||
\(340\) | 2.65646 | − | 9.91405i | 0.144067 | − | 0.537665i | ||||
\(341\) | 2.29021i | 0.124022i | ||||||||
\(342\) | −2.66396 | − | 4.61411i | −0.144050 | − | 0.249503i | ||||
\(343\) | −7.16432 | + | 17.0784i | −0.386837 | + | 0.922148i | ||||
\(344\) | −0.0427082 | + | 0.159389i | −0.00230267 | + | 0.00859368i | ||||
\(345\) | 0.294404 | + | 1.09873i | 0.0158502 | + | 0.0591536i | ||||
\(346\) | 8.91843 | − | 2.38969i | 0.479458 | − | 0.128470i | ||||
\(347\) | −29.5060 | −1.58397 | −0.791983 | − | 0.610544i | \(-0.790951\pi\) | ||||
−0.791983 | + | 0.610544i | \(0.790951\pi\) | |||||||
\(348\) | 8.71398 | 0.467118 | ||||||||
\(349\) | 18.0248 | − | 4.82973i | 0.964844 | − | 0.258529i | 0.258195 | − | 0.966093i | \(-0.416872\pi\) |
0.706650 | + | 0.707564i | \(0.250206\pi\) | |||||||
\(350\) | −7.38591 | + | 0.961105i | −0.394794 | + | 0.0513732i | ||||
\(351\) | 2.41035 | − | 2.68146i | 0.128655 | − | 0.143126i | ||||
\(352\) | 2.91730 | + | 5.05291i | 0.155492 | + | 0.269321i | ||||
\(353\) | −23.6244 | − | 6.33014i | −1.25740 | − | 0.336920i | −0.432210 | − | 0.901773i | \(-0.642266\pi\) |
−0.825191 | + | 0.564854i | \(0.808933\pi\) | |||||||
\(354\) | −0.436223 | − | 0.755561i | −0.0231850 | − | 0.0401576i | ||||
\(355\) | 3.89024 | − | 6.73809i | 0.206472 | − | 0.357621i | ||||
\(356\) | −6.30539 | + | 6.30539i | −0.334185 | + | 0.334185i | ||||
\(357\) | 7.00501 | + | 16.9836i | 0.370744 | + | 0.898867i | ||||
\(358\) | 10.0860 | + | 2.70253i | 0.533060 | + | 0.142833i | ||||
\(359\) | 23.2070 | + | 6.21830i | 1.22482 | + | 0.328189i | 0.812560 | − | 0.582877i | \(-0.198073\pi\) |
0.412259 | + | 0.911067i | \(0.364740\pi\) | |||||||
\(360\) | − | 1.47812i | − | 0.0779040i | ||||||
\(361\) | −8.12915 | + | 4.69337i | −0.427850 | + | 0.247019i | ||||
\(362\) | −0.856577 | − | 0.856577i | −0.0450207 | − | 0.0450207i | ||||
\(363\) | −23.0425 | −1.20942 | ||||||||
\(364\) | −6.19050 | − | 7.25794i | −0.324470 | − | 0.380420i | ||||
\(365\) | 13.6940 | 0.716779 | ||||||||
\(366\) | −3.99305 | − | 3.99305i | −0.208720 | − | 0.208720i | ||||
\(367\) | −6.11749 | + | 3.53194i | −0.319331 | + | 0.184366i | −0.651094 | − | 0.758997i | \(-0.725690\pi\) |
0.331764 | + | 0.943363i | \(0.392356\pi\) | |||||||
\(368\) | − | 0.769549i | − | 0.0401155i | ||||||
\(369\) | −6.34954 | − | 1.70135i | −0.330544 | − | 0.0885690i | ||||
\(370\) | −8.37331 | − | 2.24362i | −0.435308 | − | 0.116640i | ||||
\(371\) | 18.6501 | + | 14.3553i | 0.968267 | + | 0.745288i | ||||
\(372\) | −0.277556 | + | 0.277556i | −0.0143906 | + | 0.0143906i | ||||
\(373\) | 5.60451 | − | 9.70730i | 0.290191 | − | 0.502625i | −0.683664 | − | 0.729797i | \(-0.739615\pi\) |
0.973855 | + | 0.227172i | \(0.0729479\pi\) | |||||||
\(374\) | −20.2571 | − | 35.0863i | −1.04747 | − | 1.81427i | ||||
\(375\) | −11.1581 | − | 2.98982i | −0.576204 | − | 0.154393i | ||||
\(376\) | 6.24471 | + | 10.8161i | 0.322046 | + | 0.557800i | ||||
\(377\) | 29.8728 | − | 9.73379i | 1.53853 | − | 0.501316i | ||||
\(378\) | 1.60748 | + | 2.10143i | 0.0826799 | + | 0.108086i | ||||
\(379\) | 3.13887 | − | 0.841057i | 0.161233 | − | 0.0432022i | −0.177300 | − | 0.984157i | \(-0.556736\pi\) |
0.338532 | + | 0.940955i | \(0.390070\pi\) | |||||||
\(380\) | −7.87533 | −0.403996 | ||||||||
\(381\) | 10.4103 | 0.533336 | ||||||||
\(382\) | 24.0361 | − | 6.44045i | 1.22979 | − | 0.329522i | ||||
\(383\) | −1.53970 | − | 5.74625i | −0.0786752 | − | 0.293620i | 0.915366 | − | 0.402622i | \(-0.131901\pi\) |
−0.994042 | + | 0.109002i | \(0.965234\pi\) | |||||||
\(384\) | −0.258819 | + | 0.965926i | −0.0132078 | + | 0.0492922i | ||||
\(385\) | 13.9176 | − | 18.0816i | 0.709309 | − | 0.921523i | ||||
\(386\) | 9.27123 | + | 16.0582i | 0.471893 | + | 0.817343i | ||||
\(387\) | − | 0.165012i | − | 0.00838802i | ||||||
\(388\) | −0.228335 | + | 0.852159i | −0.0115920 | + | 0.0432618i | ||||
\(389\) | −8.00851 | − | 4.62372i | −0.406048 | − | 0.234432i | 0.283042 | − | 0.959107i | \(-0.408656\pi\) |
−0.689090 | + | 0.724676i | \(0.741990\pi\) | |||||||
\(390\) | −1.65111 | − | 5.06724i | −0.0836074 | − | 0.256590i | ||||
\(391\) | 5.34358i | 0.270236i | ||||||||
\(392\) | 6.07265 | − | 3.48180i | 0.306715 | − | 0.175857i | ||||
\(393\) | 1.97165 | − | 3.41500i | 0.0994567 | − | 0.172264i | ||||
\(394\) | 0.842063 | + | 0.486165i | 0.0424225 | + | 0.0244927i | ||||
\(395\) | 3.03340 | + | 11.3208i | 0.152627 | + | 0.569612i | ||||
\(396\) | −4.12568 | − | 4.12568i | −0.207323 | − | 0.207323i | ||||
\(397\) | 9.82987 | − | 2.63391i | 0.493347 | − | 0.132192i | −0.00356351 | − | 0.999994i | \(-0.501134\pi\) |
0.496911 | + | 0.867802i | \(0.334468\pi\) | |||||||
\(398\) | −0.828489 | − | 0.828489i | −0.0415284 | − | 0.0415284i | ||||
\(399\) | 11.1962 | − | 8.56453i | 0.560513 | − | 0.428763i | ||||
\(400\) | 2.43799 | + | 1.40757i | 0.121899 | + | 0.0703787i | ||||
\(401\) | −7.85252 | + | 7.85252i | −0.392136 | + | 0.392136i | −0.875448 | − | 0.483312i | \(-0.839434\pi\) |
0.483312 | + | 0.875448i | \(0.339434\pi\) | |||||||
\(402\) | 2.39145 | − | 4.14211i | 0.119275 | − | 0.206590i | ||||
\(403\) | −0.641465 | + | 1.26154i | −0.0319537 | + | 0.0628419i | ||||
\(404\) | 10.3647 | − | 5.98408i | 0.515665 | − | 0.297719i | ||||
\(405\) | 0.382567 | + | 1.42776i | 0.0190099 | + | 0.0709459i | ||||
\(406\) | 2.97499 | + | 22.8623i | 0.147646 | + | 1.13463i | ||||
\(407\) | −29.6336 | + | 17.1089i | −1.46888 | + | 0.848059i | ||||
\(408\) | 1.79718 | − | 6.70718i | 0.0889738 | − | 0.332055i | ||||
\(409\) | −9.15936 | + | 9.15936i | −0.452901 | + | 0.452901i | −0.896316 | − | 0.443415i | \(-0.853767\pi\) |
0.443415 | + | 0.896316i | \(0.353767\pi\) | |||||||
\(410\) | −6.87060 | + | 6.87060i | −0.339315 | + | 0.339315i | ||||
\(411\) | 0.739423 | − | 2.75957i | 0.0364731 | − | 0.136119i | ||||
\(412\) | 11.0928 | − | 6.40446i | 0.546505 | − | 0.315525i | ||||
\(413\) | 1.83339 | − | 1.40244i | 0.0902150 | − | 0.0690097i | ||||
\(414\) | 0.199174 | + | 0.743327i | 0.00978886 | + | 0.0365325i | ||||
\(415\) | 16.8210 | − | 9.71158i | 0.825708 | − | 0.476723i | ||||
\(416\) | 0.191699 | + | 3.60045i | 0.00939883 | + | 0.176527i | ||||
\(417\) | −4.77864 | + | 8.27684i | −0.234011 | + | 0.405319i | ||||
\(418\) | −21.9813 | + | 21.9813i | −1.07514 | + | 1.07514i | ||||
\(419\) | −19.5436 | − | 11.2835i | −0.954768 | − | 0.551236i | −0.0602092 | − | 0.998186i | \(-0.519177\pi\) |
−0.894559 | + | 0.446950i | \(0.852510\pi\) | |||||||
\(420\) | 3.87805 | − | 0.504639i | 0.189230 | − | 0.0246238i | ||||
\(421\) | −14.4017 | − | 14.4017i | −0.701895 | − | 0.701895i | 0.262922 | − | 0.964817i | \(-0.415314\pi\) |
−0.964817 | + | 0.262922i | \(0.915314\pi\) | |||||||
\(422\) | 16.2906 | − | 4.36505i | 0.793014 | − | 0.212488i | ||||
\(423\) | −8.83135 | − | 8.83135i | −0.429395 | − | 0.429395i | ||||
\(424\) | −2.30231 | − | 8.59233i | −0.111810 | − | 0.417280i | ||||
\(425\) | −16.9289 | − | 9.77389i | −0.821171 | − | 0.474103i | ||||
\(426\) | 2.63188 | − | 4.55854i | 0.127515 | − | 0.220862i | ||||
\(427\) | 9.11305 | − | 11.8395i | 0.441011 | − | 0.572955i | ||||
\(428\) | 2.65924i | 0.128539i | ||||||||
\(429\) | −18.7520 | − | 9.53495i | −0.905355 | − | 0.460352i | ||||
\(430\) | −0.211230 | − | 0.121954i | −0.0101864 | − | 0.00588114i | ||||
\(431\) | −0.481562 | + | 1.79721i | −0.0231960 | + | 0.0865688i | −0.976554 | − | 0.215275i | \(-0.930935\pi\) |
0.953358 | + | 0.301843i | \(0.0976020\pi\) | |||||||
\(432\) | − | 1.00000i | − | 0.0481125i | ||||||
\(433\) | −16.6576 | − | 28.8518i | −0.800514 | − | 1.38653i | −0.919279 | − | 0.393608i | \(-0.871227\pi\) |
0.118765 | − | 0.992922i | \(-0.462106\pi\) | |||||||
\(434\) | −0.822963 | − | 0.633446i | −0.0395035 | − | 0.0304064i | ||||
\(435\) | −3.33368 | + | 12.4415i | −0.159838 | + | 0.596522i | ||||
\(436\) | 3.87980 | + | 14.4796i | 0.185809 | + | 0.693447i | ||||
\(437\) | 3.96039 | − | 1.06118i | 0.189451 | − | 0.0507632i | ||||
\(438\) | 9.26447 | 0.442673 | ||||||||
\(439\) | 24.3330 | 1.16135 | 0.580675 | − | 0.814135i | \(-0.302789\pi\) | ||||
0.580675 | + | 0.814135i | \(0.302789\pi\) | |||||||
\(440\) | −8.33039 | + | 2.23212i | −0.397136 | + | 0.106412i | ||||
\(441\) | −4.96457 | + | 4.93488i | −0.236408 | + | 0.234994i | ||||
\(442\) | −1.33112 | − | 25.0008i | −0.0633148 | − | 1.18916i | ||||
\(443\) | 15.5729 | + | 26.9730i | 0.739890 | + | 1.28153i | 0.952545 | + | 0.304399i | \(0.0984556\pi\) |
−0.212655 | + | 0.977127i | \(0.568211\pi\) | |||||||
\(444\) | −5.66482 | − | 1.51788i | −0.268841 | − | 0.0720356i | ||||
\(445\) | −6.59034 | − | 11.4148i | −0.312412 | − | 0.541113i | ||||
\(446\) | −0.126554 | + | 0.219197i | −0.00599248 | + | 0.0103793i | ||||
\(447\) | 7.38712 | − | 7.38712i | 0.349399 | − | 0.349399i | ||||
\(448\) | −2.62260 | − | 0.349274i | −0.123906 | − | 0.0165017i | ||||
\(449\) | −11.1005 | − | 2.97437i | −0.523866 | − | 0.140369i | −0.0128116 | − | 0.999918i | \(-0.504078\pi\) |
−0.511054 | + | 0.859549i | \(0.670745\pi\) | |||||||
\(450\) | −2.71922 | − | 0.728614i | −0.128185 | − | 0.0343472i | ||||
\(451\) | 38.3539i | 1.80601i | ||||||||
\(452\) | −8.58738 | + | 4.95793i | −0.403917 | + | 0.233201i | ||||
\(453\) | 3.17502 | + | 3.17502i | 0.149175 | + | 0.149175i | ||||
\(454\) | 1.67037 | 0.0783942 | ||||||||
\(455\) | 12.7309 | − | 6.06189i | 0.596832 | − | 0.284186i | ||||
\(456\) | −5.32792 | −0.249503 | ||||||||
\(457\) | −26.9904 | − | 26.9904i | −1.26256 | − | 1.26256i | −0.949848 | − | 0.312711i | \(-0.898763\pi\) |
−0.312711 | − | 0.949848i | \(-0.601237\pi\) | |||||||
\(458\) | 23.2358 | − | 13.4152i | 1.08574 | − | 0.626850i | ||||
\(459\) | 6.94378i | 0.324108i | ||||||||
\(460\) | 1.09873 | + | 0.294404i | 0.0512285 | + | 0.0137266i | ||||
\(461\) | −6.32045 | − | 1.69356i | −0.294373 | − | 0.0788770i | 0.108610 | − | 0.994084i | \(-0.465360\pi\) |
−0.402983 | + | 0.915207i | \(0.632027\pi\) | |||||||
\(462\) | 9.41574 | − | 12.2328i | 0.438060 | − | 0.569121i | ||||
\(463\) | −10.5716 | + | 10.5716i | −0.491304 | + | 0.491304i | −0.908717 | − | 0.417413i | \(-0.862937\pi\) |
0.417413 | + | 0.908717i | \(0.362937\pi\) | |||||||
\(464\) | 4.35699 | − | 7.54652i | 0.202268 | − | 0.350339i | ||||
\(465\) | −0.290099 | − | 0.502466i | −0.0134530 | − | 0.0233013i | ||||
\(466\) | 16.2213 | + | 4.34648i | 0.751436 | + | 0.201347i | ||||
\(467\) | 0.763124 | + | 1.32177i | 0.0353132 | + | 0.0611642i | 0.883142 | − | 0.469106i | \(-0.155424\pi\) |
−0.847829 | + | 0.530270i | \(0.822090\pi\) | |||||||
\(468\) | −1.11703 | − | 3.42815i | −0.0516349 | − | 0.158466i | ||||
\(469\) | 11.6838 | + | 4.86015i | 0.539509 | + | 0.224421i | ||||
\(470\) | −17.8319 | + | 4.77803i | −0.822523 | + | 0.220394i | ||||
\(471\) | −14.7135 | −0.677964 | ||||||||
\(472\) | −0.872447 | −0.0401576 | ||||||||
\(473\) | −0.929971 | + | 0.249185i | −0.0427601 | + | 0.0114575i | ||||
\(474\) | 2.05220 | + | 7.65891i | 0.0942606 | + | 0.351785i | ||||
\(475\) | −3.88200 | + | 14.4878i | −0.178118 | + | 0.664746i | ||||
\(476\) | 18.2107 | + | 2.42528i | 0.834688 | + | 0.111163i | ||||
\(477\) | 4.44772 | + | 7.70367i | 0.203647 | + | 0.352727i | ||||
\(478\) | − | 2.35605i | − | 0.107763i | ||||||
\(479\) | −0.905926 | + | 3.38096i | −0.0413928 | + | 0.154480i | −0.983529 | − | 0.180750i | \(-0.942147\pi\) |
0.942136 | + | 0.335230i | \(0.108814\pi\) | |||||||
\(480\) | −1.28009 | − | 0.739062i | −0.0584280 | − | 0.0337334i | ||||
\(481\) | −21.1154 | + | 1.12425i | −0.962780 | + | 0.0512614i | ||||
\(482\) | 14.8563i | 0.676688i | ||||||||
\(483\) | −1.88222 | + | 0.776334i | −0.0856438 | + | 0.0353244i | ||||
\(484\) | −11.5212 | + | 19.9554i | −0.523693 | + | 0.907063i | ||||
\(485\) | −1.12932 | − | 0.652016i | −0.0512800 | − | 0.0296065i | ||||
\(486\) | 0.258819 | + | 0.965926i | 0.0117403 | + | 0.0438153i | ||||
\(487\) | 3.09123 | + | 3.09123i | 0.140077 | + | 0.140077i | 0.773668 | − | 0.633591i | \(-0.218420\pi\) |
−0.633591 | + | 0.773668i | \(0.718420\pi\) | |||||||
\(488\) | −5.45461 | + | 1.46156i | −0.246919 | + | 0.0661616i | ||||
\(489\) | 16.2530 | + | 16.2530i | 0.734985 | + | 0.734985i | ||||
\(490\) | 2.64797 | + | 10.0023i | 0.119623 | + | 0.451858i | ||||
\(491\) | 0.333214 | + | 0.192381i | 0.0150377 | + | 0.00868203i | 0.507500 | − | 0.861652i | \(-0.330570\pi\) |
−0.492462 | + | 0.870334i | \(0.663903\pi\) | |||||||
\(492\) | −4.64819 | + | 4.64819i | −0.209556 | + | 0.209556i | ||||
\(493\) | −30.2540 | + | 52.4014i | −1.36257 | + | 2.36004i | ||||
\(494\) | −18.2649 | + | 5.95146i | −0.821778 | + | 0.267769i | ||||
\(495\) | 7.46883 | − | 4.31213i | 0.335699 | − | 0.193816i | ||||
\(496\) | 0.101593 | + | 0.379148i | 0.00456164 | + | 0.0170243i | ||||
\(497\) | 12.8585 | + | 5.34876i | 0.576781 | + | 0.239925i | ||||
\(498\) | 11.3799 | − | 6.57021i | 0.509947 | − | 0.294418i | ||||
\(499\) | −2.19722 | + | 8.20014i | −0.0983612 | + | 0.367089i | −0.997508 | − | 0.0705590i | \(-0.977522\pi\) |
0.899146 | + | 0.437648i | \(0.144188\pi\) | |||||||
\(500\) | −8.16833 | + | 8.16833i | −0.365299 | + | 0.365299i | ||||
\(501\) | −0.601273 | + | 0.601273i | −0.0268629 | + | 0.0268629i | ||||
\(502\) | −2.95781 | + | 11.0387i | −0.132014 | + | 0.492682i | ||||
\(503\) | −6.42502 | + | 3.70948i | −0.286477 | + | 0.165398i | −0.636352 | − | 0.771399i | \(-0.719557\pi\) |
0.349875 | + | 0.936796i | \(0.386224\pi\) | |||||||
\(504\) | 2.62363 | − | 0.341405i | 0.116866 | − | 0.0152074i | ||||
\(505\) | 4.57862 | + | 17.0877i | 0.203746 | + | 0.760391i | ||||
\(506\) | 3.88846 | − | 2.24500i | 0.172863 | − | 0.0998025i | ||||
\(507\) | −7.65872 | − | 10.5045i | −0.340136 | − | 0.466520i | ||||
\(508\) | 5.20515 | − | 9.01558i | 0.230941 | − | 0.400002i | ||||
\(509\) | 8.68662 | − | 8.68662i | 0.385028 | − | 0.385028i | −0.487882 | − | 0.872910i | \(-0.662230\pi\) |
0.872910 | + | 0.487882i | \(0.162230\pi\) | |||||||
\(510\) | 8.88869 | + | 5.13189i | 0.393598 | + | 0.227244i | ||||
\(511\) | 3.16293 | + | 24.3066i | 0.139920 | + | 1.07526i | ||||
\(512\) | 0.707107 | + | 0.707107i | 0.0312500 | + | 0.0312500i | ||||
\(513\) | 5.14638 | − | 1.37897i | 0.227218 | − | 0.0608829i | ||||
\(514\) | −6.73622 | − | 6.73622i | −0.297122 | − | 0.297122i | ||||
\(515\) | 4.90026 | + | 18.2880i | 0.215931 | + | 0.805867i | ||||
\(516\) | −0.142904 | − | 0.0825059i | −0.00629101 | − | 0.00363212i | ||||
\(517\) | −36.4353 | + | 63.1078i | −1.60242 | + | 2.77548i | ||||
\(518\) | 2.04837 | − | 15.3806i | 0.0900003 | − | 0.675785i | ||||
\(519\) | 9.23304i | 0.405285i | ||||||||
\(520\) | −5.21391 | − | 1.10371i | −0.228645 | − | 0.0484010i | ||||
\(521\) | −9.80499 | − | 5.66091i | −0.429564 | − | 0.248009i | 0.269597 | − | 0.962973i | \(-0.413110\pi\) |
−0.699161 | + | 0.714964i | \(0.746443\pi\) | |||||||
\(522\) | −2.25534 | + | 8.41705i | −0.0987137 | + | 0.368404i | ||||
\(523\) | − | 0.701950i | − | 0.0306941i | −0.999882 | − | 0.0153471i | \(-0.995115\pi\) | ||
0.999882 | − | 0.0153471i | \(-0.00488531\pi\) | |||||||
\(524\) | −1.97165 | − | 3.41500i | −0.0861320 | − | 0.149185i | ||||
\(525\) | 0.983259 | − | 7.38299i | 0.0429129 | − | 0.322220i | ||||
\(526\) | 5.99181 | − | 22.3617i | 0.261255 | − | 0.975018i | ||||
\(527\) | −0.705436 | − | 2.63272i | −0.0307293 | − | 0.114683i | ||||
\(528\) | −5.63579 | + | 1.51010i | −0.245266 | + | 0.0657189i | ||||
\(529\) | 22.4078 | 0.974252 | ||||||||
\(530\) | 13.1486 | 0.571137 | ||||||||
\(531\) | 0.842719 | − | 0.225806i | 0.0365709 | − | 0.00979914i | ||||
\(532\) | −1.81898 | − | 13.9785i | −0.0788627 | − | 0.606045i | ||||
\(533\) | −10.7425 | + | 21.1269i | −0.465310 | + | 0.915106i | ||||
\(534\) | −4.45858 | − | 7.72249i | −0.192942 | − | 0.334185i | ||||
\(535\) | −3.79675 | − | 1.01734i | −0.164148 | − | 0.0439833i | ||||
\(536\) | −2.39145 | − | 4.14211i | −0.103295 | − | 0.178912i | ||||
\(537\) | −5.22088 | + | 9.04284i | −0.225298 | + | 0.390227i | ||||
\(538\) | 19.4365 | − | 19.4365i | 0.837965 | − | 0.837965i | ||||
\(539\) | 35.3089 | + | 20.5271i | 1.52086 | + | 0.884165i | ||||
\(540\) | 1.42776 | + | 0.382567i | 0.0614409 | + | 0.0164631i | ||||
\(541\) | 7.76639 | + | 2.08100i | 0.333903 | + | 0.0894691i | 0.421875 | − | 0.906654i | \(-0.361372\pi\) |
−0.0879721 | + | 0.996123i | \(0.528039\pi\) | |||||||
\(542\) | 27.9396i | 1.20011i | ||||||||
\(543\) | 1.04909 | − | 0.605691i | 0.0450207 | − | 0.0259927i | ||||
\(544\) | −4.91000 | − | 4.91000i | −0.210514 | − | 0.210514i | ||||
\(545\) | −22.1577 | −0.949130 | ||||||||
\(546\) | 8.61285 | − | 4.10107i | 0.368596 | − | 0.175510i | ||||
\(547\) | 13.2526 | 0.566641 | 0.283321 | − | 0.959025i | \(-0.408564\pi\) | ||||
0.283321 | + | 0.959025i | \(0.408564\pi\) | |||||||
\(548\) | −2.02014 | − | 2.02014i | −0.0862962 | − | 0.0862962i | ||||
\(549\) | 4.89047 | − | 2.82351i | 0.208720 | − | 0.120505i | ||||
\(550\) | 16.4252i | 0.700375i | ||||||||
\(551\) | 44.8454 | + | 12.0163i | 1.91048 | + | 0.511911i | ||||
\(552\) | 0.743327 | + | 0.199174i | 0.0316381 | + | 0.00847740i | ||||
\(553\) | −19.3935 | + | 7.99900i | −0.824696 | + | 0.340152i | ||||
\(554\) | −5.92508 | + | 5.92508i | −0.251732 | + | 0.251732i | ||||
\(555\) | 4.33434 | − | 7.50731i | 0.183983 | − | 0.318667i | ||||
\(556\) | 4.77864 | + | 8.27684i | 0.202659 | + | 0.351016i | ||||
\(557\) | −8.16213 | − | 2.18704i | −0.345841 | − | 0.0926677i | 0.0817176 | − | 0.996656i | \(-0.473959\pi\) |
−0.427558 | + | 0.903988i | \(0.640626\pi\) | |||||||
\(558\) | −0.196262 | − | 0.339935i | −0.00830842 | − | 0.0143906i | ||||
\(559\) | −0.582060 | − | 0.123214i | −0.0246185 | − | 0.00521139i | ||||
\(560\) | 1.50200 | − | 3.61081i | 0.0634710 | − | 0.152585i | ||||
\(561\) | 39.1337 | − | 10.4858i | 1.65222 | − | 0.442712i | ||||
\(562\) | −2.89591 | −0.122156 | ||||||||
\(563\) | −12.1773 | −0.513214 | −0.256607 | − | 0.966516i | \(-0.582605\pi\) | ||||
−0.256607 | + | 0.966516i | \(0.582605\pi\) | |||||||
\(564\) | −12.0638 | + | 3.23250i | −0.507980 | + | 0.136113i | ||||
\(565\) | −3.79348 | − | 14.1574i | −0.159593 | − | 0.595608i | ||||
\(566\) | −0.232877 | + | 0.869108i | −0.00978854 | + | 0.0365313i | ||||
\(567\) | −2.44587 | + | 1.00882i | −0.102717 | + | 0.0423663i | ||||
\(568\) | −2.63188 | − | 4.55854i | −0.110431 | − | 0.191272i | ||||
\(569\) | − | 17.9156i | − | 0.751060i | −0.926810 | − | 0.375530i | \(-0.877461\pi\) | ||
0.926810 | − | 0.375530i | \(-0.122539\pi\) | |||||||
\(570\) | 2.03829 | − | 7.60698i | 0.0853744 | − | 0.318622i | ||||
\(571\) | 32.2814 | + | 18.6377i | 1.35093 | + | 0.779962i | 0.988380 | − | 0.152001i | \(-0.0485716\pi\) |
0.362554 | + | 0.931963i | \(0.381905\pi\) | |||||||
\(572\) | −17.6335 | + | 11.4722i | −0.737294 | + | 0.479678i | ||||
\(573\) | 24.8840i | 1.03954i | ||||||||
\(574\) | −13.7820 | − | 10.6082i | −0.575251 | − | 0.442778i | ||||
\(575\) | 1.08320 | − | 1.87615i | 0.0451724 | − | 0.0782409i | ||||
\(576\) | −0.866025 | − | 0.500000i | −0.0360844 | − | 0.0208333i | ||||
\(577\) | 0.997816 | + | 3.72390i | 0.0415396 | + | 0.155028i | 0.983580 | − | 0.180470i | \(-0.0577620\pi\) |
−0.942041 | + | 0.335498i | \(0.891095\pi\) | |||||||
\(578\) | 22.0731 | + | 22.0731i | 0.918121 | + | 0.918121i | ||||
\(579\) | −17.9106 | + | 4.79914i | −0.744341 | + | 0.199446i | ||||
\(580\) | 9.10778 | + | 9.10778i | 0.378180 | + | 0.378180i | ||||
\(581\) | 21.1230 | + | 27.6136i | 0.876328 | + | 1.14561i | ||||
\(582\) | −0.764025 | − | 0.441110i | −0.0316699 | − | 0.0182846i | ||||
\(583\) | 36.6997 | − | 36.6997i | 1.51995 | − | 1.51995i | ||||
\(584\) | 4.63223 | − | 8.02326i | 0.191683 | − | 0.332005i | ||||
\(585\) | 5.32192 | − | 0.283355i | 0.220034 | − | 0.0117153i | ||||
\(586\) | 27.1223 | − | 15.6591i | 1.12041 | − | 0.646870i | ||||
\(587\) | −8.69926 | − | 32.4661i | −0.359057 | − | 1.34002i | −0.875302 | − | 0.483577i | \(-0.839337\pi\) |
0.516245 | − | 0.856441i | \(-0.327329\pi\) | |||||||
\(588\) | 1.79144 | + | 6.76689i | 0.0738778 | + | 0.279062i | ||||
\(589\) | −1.81115 | + | 1.04567i | −0.0746270 | + | 0.0430859i | ||||
\(590\) | 0.333769 | − | 1.24564i | 0.0137411 | − | 0.0512823i | ||||
\(591\) | −0.687542 | + | 0.687542i | −0.0282817 | + | 0.0282817i | ||||
\(592\) | −4.14694 | + | 4.14694i | −0.170438 | + | 0.170438i | ||||
\(593\) | −12.4245 | + | 46.3688i | −0.510212 | + | 1.90414i | −0.0920820 | + | 0.995751i | \(0.529352\pi\) |
−0.418130 | + | 0.908387i | \(0.637314\pi\) | |||||||
\(594\) | 5.05291 | − | 2.91730i | 0.207323 | − | 0.119698i | ||||
\(595\) | −10.4295 | + | 25.0727i | −0.427570 | + | 1.02788i | ||||
\(596\) | −2.70387 | − | 10.0910i | −0.110755 | − | 0.413343i | ||||
\(597\) | 1.01469 | − | 0.585830i | 0.0415284 | − | 0.0239764i | ||||
\(598\) | 2.77072 | − | 0.147522i | 0.113303 | − | 0.00603262i | ||||
\(599\) | 8.59552 | − | 14.8879i | 0.351204 | − | 0.608302i | −0.635257 | − | 0.772301i | \(-0.719106\pi\) |
0.986461 | + | 0.163998i | \(0.0524392\pi\) | |||||||
\(600\) | −1.99061 | + | 1.99061i | −0.0812663 | + | 0.0812663i | ||||
\(601\) | 8.13421 | + | 4.69629i | 0.331801 | + | 0.191566i | 0.656641 | − | 0.754204i | \(-0.271977\pi\) |
−0.324839 | + | 0.945769i | \(0.605310\pi\) | |||||||
\(602\) | 0.167677 | − | 0.403096i | 0.00683399 | − | 0.0164290i | ||||
\(603\) | 3.38202 | + | 3.38202i | 0.137727 | + | 0.137727i | ||||
\(604\) | 4.33716 | − | 1.16214i | 0.176476 | − | 0.0472867i | ||||
\(605\) | −24.0838 | − | 24.0838i | −0.979147 | − | 0.979147i | ||||
\(606\) | 3.09759 | + | 11.5604i | 0.125831 | + | 0.469608i | ||||
\(607\) | −6.86013 | − | 3.96070i | −0.278444 | − | 0.160760i | 0.354275 | − | 0.935141i | \(-0.384728\pi\) |
−0.632719 | + | 0.774382i | \(0.718061\pi\) | |||||||
\(608\) | −2.66396 | + | 4.61411i | −0.108038 | + | 0.187127i | ||||
\(609\) | −22.8532 | − | 3.04357i | −0.926060 | − | 0.123332i | ||||
\(610\) | − | 8.34701i | − | 0.337960i | ||||||
\(611\) | −37.7459 | + | 24.5572i | −1.52704 | + | 0.993478i | ||||
\(612\) | 6.01349 | + | 3.47189i | 0.243081 | + | 0.140343i | ||||
\(613\) | −5.73019 | + | 21.3854i | −0.231440 | + | 0.863747i | 0.748281 | + | 0.663382i | \(0.230880\pi\) |
−0.979721 | + | 0.200365i | \(0.935787\pi\) | |||||||
\(614\) | 8.92471i | 0.360172i | ||||||||
\(615\) | −4.85825 | − | 8.41473i | −0.195903 | − | 0.339315i | ||||
\(616\) | −5.88604 | − | 14.2707i | −0.237155 | − | 0.574982i | ||||
\(617\) | 12.1595 | − | 45.3797i | 0.489521 | − | 1.82692i | −0.0692532 | − | 0.997599i | \(-0.522062\pi\) |
0.558775 | − | 0.829320i | \(-0.311272\pi\) | |||||||
\(618\) | 3.31519 | + | 12.3725i | 0.133357 | + | 0.497693i | ||||
\(619\) | −25.2615 | + | 6.76879i | −1.01534 | + | 0.272061i | −0.727861 | − | 0.685725i | \(-0.759485\pi\) |
−0.287483 | + | 0.957786i | \(0.592819\pi\) | |||||||
\(620\) | −0.580198 | −0.0233013 | ||||||||
\(621\) | −0.769549 | −0.0308809 | ||||||||
\(622\) | −1.65380 | + | 0.443134i | −0.0663113 | + | 0.0177681i | ||||
\(623\) | 18.7388 | − | 14.3342i | 0.750754 | − | 0.574286i | ||||
\(624\) | −3.52738 | − | 0.746698i | −0.141208 | − | 0.0298919i | ||||
\(625\) | −1.49960 | − | 2.59739i | −0.0599840 | − | 0.103895i | ||||
\(626\) | −12.2409 | − | 3.27993i | −0.489244 | − | 0.131092i | ||||
\(627\) | −15.5431 | − | 26.9215i | −0.620733 | − | 1.07514i | ||||
\(628\) | −7.35677 | + | 12.7423i | −0.293567 | + | 0.508473i | ||||
\(629\) | 28.7954 | − | 28.7954i | 1.14815 | − | 1.14815i | ||||
\(630\) | −0.516271 | + | 3.87652i | −0.0205687 | + | 0.154444i | ||||
\(631\) | −30.2532 | − | 8.10633i | −1.20436 | − | 0.322708i | −0.399814 | − | 0.916596i | \(-0.630925\pi\) |
−0.804547 | + | 0.593888i | \(0.797592\pi\) | |||||||
\(632\) | 7.65891 | + | 2.05220i | 0.304655 | + | 0.0816320i | ||||
\(633\) | 16.8653i | 0.670334i | ||||||||
\(634\) | −11.9410 | + | 6.89414i | −0.474238 | + | 0.273801i | ||||
\(635\) | 10.8808 | + | 10.8808i | 0.431790 | + | 0.431790i | ||||
\(636\) | 8.89544 | 0.352727 | ||||||||
\(637\) | 13.7002 | + | 21.1968i | 0.542820 | + | 0.839849i | ||||
\(638\) | 50.8425 | 2.01287 | ||||||||
\(639\) | 3.72203 | + | 3.72203i | 0.147241 | + | 0.147241i | ||||
\(640\) | −1.28009 | + | 0.739062i | −0.0506001 | + | 0.0292140i | ||||
\(641\) | 25.7914i | 1.01870i | 0.860560 | + | 0.509349i | \(0.170114\pi\) | ||||
−0.860560 | + | 0.509349i | \(0.829886\pi\) | |||||||
\(642\) | −2.56863 | − | 0.688262i | −0.101376 | − | 0.0271635i | ||||
\(643\) | −17.7658 | − | 4.76034i | −0.700616 | − | 0.187730i | −0.109110 | − | 0.994030i | \(-0.534800\pi\) |
−0.591507 | + | 0.806300i | \(0.701467\pi\) | |||||||
\(644\) | −0.268784 | + | 2.01821i | −0.0105916 | + | 0.0795288i | ||||
\(645\) | 0.172469 | − | 0.172469i | 0.00679096 | − | 0.00679096i | ||||
\(646\) | 18.4980 | − | 32.0394i | 0.727793 | − | 1.26057i | ||||
\(647\) | 1.85249 | + | 3.20861i | 0.0728289 | + | 0.126143i | 0.900140 | − | 0.435601i | \(-0.143464\pi\) |
−0.827311 | + | 0.561744i | \(0.810131\pi\) | |||||||
\(648\) | 0.965926 | + | 0.258819i | 0.0379452 | + | 0.0101674i | ||||
\(649\) | −2.54519 | − | 4.40839i | −0.0999073 | − | 0.173045i | ||||
\(650\) | −4.60054 | + | 9.04769i | −0.180448 | + | 0.354880i | ||||
\(651\) | 0.824860 | − | 0.630974i | 0.0323288 | − | 0.0247298i | ||||
\(652\) | 22.2020 | − | 5.94900i | 0.869497 | − | 0.232981i | ||||
\(653\) | −12.1069 | −0.473781 | −0.236891 | − | 0.971536i | \(-0.576128\pi\) | ||||
−0.236891 | + | 0.971536i | \(0.576128\pi\) | |||||||
\(654\) | −14.9904 | −0.586171 | ||||||||
\(655\) | 5.63009 | − | 1.50858i | 0.219986 | − | 0.0589450i | ||||
\(656\) | 1.70135 | + | 6.34954i | 0.0664267 | + | 0.247908i | ||||
\(657\) | −2.39782 | + | 8.94879i | −0.0935479 | + | 0.349125i | ||||
\(658\) | −12.5995 | − | 30.5475i | −0.491181 | − | 1.19087i | ||||
\(659\) | 6.59589 | + | 11.4244i | 0.256939 | + | 0.445032i | 0.965420 | − | 0.260698i | \(-0.0839526\pi\) |
−0.708481 | + | 0.705730i | \(0.750619\pi\) | |||||||
\(660\) | − | 8.62426i | − | 0.335699i | ||||||
\(661\) | 3.26954 | − | 12.2021i | 0.127170 | − | 0.474606i | −0.872737 | − | 0.488190i | \(-0.837657\pi\) |
0.999908 | + | 0.0135839i | \(0.00432402\pi\) | |||||||
\(662\) | −22.2889 | − | 12.8685i | −0.866283 | − | 0.500149i | ||||
\(663\) | 24.4934 | + | 5.18491i | 0.951244 | + | 0.201365i | ||||
\(664\) | − | 13.1404i | − | 0.509947i | ||||||
\(665\) | 20.6538 | + | 2.75065i | 0.800920 | + | 0.106666i | ||||
\(666\) | 2.93233 | − | 5.07894i | 0.113625 | − | 0.196805i | ||||
\(667\) | −5.80742 | − | 3.35291i | −0.224864 | − | 0.129825i | ||||
\(668\) | 0.220081 | + | 0.821354i | 0.00851519 | + | 0.0317791i | ||||
\(669\) | −0.178974 | − | 0.178974i | −0.00691952 | − | 0.00691952i | ||||
\(670\) | 6.82883 | − | 1.82978i | 0.263821 | − | 0.0706905i | ||||
\(671\) | −23.2978 | − | 23.2978i | −0.899403 | − | 0.899403i | ||||
\(672\) | 1.01615 | − | 2.44283i | 0.0391989 | − | 0.0942344i | ||||
\(673\) | 33.2503 | + | 19.1971i | 1.28170 | + | 0.739993i | 0.977160 | − | 0.212505i | \(-0.0681623\pi\) |
0.304545 | + | 0.952498i | \(0.401496\pi\) | |||||||
\(674\) | −23.7326 | + | 23.7326i | −0.914147 | + | 0.914147i | ||||
\(675\) | 1.40757 | − | 2.43799i | 0.0541775 | − | 0.0938383i | ||||
\(676\) | −12.9265 | + | 1.38041i | −0.497173 | + | 0.0530926i | ||||
\(677\) | −30.8327 | + | 17.8013i | −1.18500 | + | 0.684158i | −0.957165 | − | 0.289543i | \(-0.906497\pi\) |
−0.227831 | + | 0.973701i | \(0.573163\pi\) | |||||||
\(678\) | −2.56641 | − | 9.57798i | −0.0985625 | − | 0.367840i | ||||
\(679\) | 0.896469 | − | 2.15512i | 0.0344033 | − | 0.0827058i | ||||
\(680\) | 8.88869 | − | 5.13189i | 0.340866 | − | 0.196799i | ||||
\(681\) | −0.432323 | + | 1.61345i | −0.0165666 | + | 0.0618276i | ||||
\(682\) | −1.61943 | + | 1.61943i | −0.0620110 | + | 0.0620110i | ||||
\(683\) | 11.8562 | − | 11.8562i | 0.453665 | − | 0.453665i | −0.442904 | − | 0.896569i | \(-0.646052\pi\) |
0.896569 | + | 0.442904i | \(0.146052\pi\) | |||||||
\(684\) | 1.37897 | − | 5.14638i | 0.0527261 | − | 0.196777i | ||||
\(685\) | 3.65712 | − | 2.11144i | 0.139731 | − | 0.0806738i | ||||
\(686\) | −17.1422 | + | 7.01033i | −0.654493 | + | 0.267655i | ||||
\(687\) | 6.94421 | + | 25.9161i | 0.264938 | + | 0.988763i | ||||
\(688\) | −0.142904 | + | 0.0825059i | −0.00544818 | + | 0.00314551i | ||||
\(689\) | 30.4949 | − | 9.93649i | 1.16176 | − | 0.378550i | ||||
\(690\) | −0.568744 | + | 0.985094i | −0.0216517 | + | 0.0375019i | ||||
\(691\) | 1.02361 | − | 1.02361i | 0.0389398 | − | 0.0389398i | −0.687369 | − | 0.726309i | \(-0.741234\pi\) |
0.726309 | + | 0.687369i | \(0.241234\pi\) | |||||||
\(692\) | 7.99605 | + | 4.61652i | 0.303964 | + | 0.175494i | ||||
\(693\) | 9.37900 | + | 12.2610i | 0.356279 | + | 0.465756i | ||||
\(694\) | −20.8639 | − | 20.8639i | −0.791983 | − | 0.791983i | ||||
\(695\) | −13.6455 | + | 3.65630i | −0.517603 | + | 0.138691i | ||||
\(696\) | 6.16171 | + | 6.16171i | 0.233559 | + | 0.233559i | ||||
\(697\) | −11.8138 | − | 44.0898i | −0.447481 | − | 1.67002i | ||||
\(698\) | 16.1606 | + | 9.33031i | 0.611687 | + | 0.353158i | ||||
\(699\) | −8.39675 | + | 14.5436i | −0.317594 | + | 0.550089i | ||||
\(700\) | −5.90223 | − | 4.54302i | −0.223083 | − | 0.171710i | ||||
\(701\) | − | 22.7118i | − | 0.857812i | −0.903349 | − | 0.428906i | \(-0.858899\pi\) | ||
0.903349 | − | 0.428906i | \(-0.141101\pi\) | |||||||
\(702\) | 3.60045 | − | 0.191699i | 0.135890 | − | 0.00723522i | ||||
\(703\) | −27.0602 | − | 15.6232i | −1.02059 | − | 0.589240i | ||||
\(704\) | −1.51010 | + | 5.63579i | −0.0569142 | + | 0.212407i | ||||
\(705\) | − | 18.4609i | − | 0.695278i | ||||||
\(706\) | −12.2289 | − | 21.1811i | −0.460241 | − | 0.797160i | ||||
\(707\) | −29.2726 | + | 12.0737i | −1.10091 | + | 0.454078i | ||||
\(708\) | 0.225806 | − | 0.842719i | 0.00848630 | − | 0.0316713i | ||||
\(709\) | 5.70253 | + | 21.2821i | 0.214163 | + | 0.799268i | 0.986459 | + | 0.164005i | \(0.0524414\pi\) |
−0.772296 | + | 0.635263i | \(0.780892\pi\) | |||||||
\(710\) | 7.51537 | − | 2.01374i | 0.282047 | − | 0.0755742i | ||||
\(711\) | −7.92908 | −0.297364 | ||||||||
\(712\) | −8.91716 | −0.334185 | ||||||||
\(713\) | 0.291773 | − | 0.0781804i | 0.0109270 | − | 0.00292788i | ||||
\(714\) | −7.05593 | + | 16.9625i | −0.264062 | + | 0.634806i | ||||
\(715\) | −9.63358 | − | 29.5653i | −0.360275 | − | 1.10568i | ||||
\(716\) | 5.22088 | + | 9.04284i | 0.195114 | + | 0.337947i | ||||
\(717\) | 2.27577 | + | 0.609791i | 0.0849902 | + | 0.0227731i | ||||
\(718\) | 12.0128 | + | 20.8068i | 0.448315 | + | 0.776504i | ||||
\(719\) | 11.2731 | − | 19.5257i | 0.420417 | − | 0.728184i | −0.575563 | − | 0.817758i | \(-0.695217\pi\) |
0.995980 | + | 0.0895733i | \(0.0285503\pi\) | |||||||
\(720\) | 1.04519 | − | 1.04519i | 0.0389520 | − | 0.0389520i | ||||
\(721\) | −31.3290 | + | 12.9219i | −1.16675 | + | 0.481235i | ||||
\(722\) | −9.06689 | − | 2.42947i | −0.337435 | − | 0.0904154i | ||||
\(723\) | −14.3501 | − | 3.84511i | −0.533687 | − | 0.143001i | ||||
\(724\) | − | 1.21138i | − | 0.0450207i | ||||||
\(725\) | 21.2446 | − | 12.2656i | 0.789004 | − | 0.455532i | ||||
\(726\) | −16.2935 | − | 16.2935i | −0.604709 | − | 0.604709i | ||||
\(727\) | −22.2011 | −0.823394 | −0.411697 | − | 0.911321i | \(-0.635064\pi\) | ||||
−0.411697 | + | 0.911321i | \(0.635064\pi\) | |||||||
\(728\) | 0.754796 | − | 9.50948i | 0.0279746 | − | 0.352445i | ||||
\(729\) | −1.00000 | −0.0370370 | ||||||||
\(730\) | 9.68315 | + | 9.68315i | 0.358389 | + | 0.358389i | ||||
\(731\) | 0.992297 | − | 0.572903i | 0.0367014 | − | 0.0211896i | ||||
\(732\) | − | 5.64703i | − | 0.208720i | ||||||
\(733\) | −22.8069 | − | 6.11108i | −0.842390 | − | 0.225718i | −0.188279 | − | 0.982116i | \(-0.560291\pi\) |
−0.654112 | + | 0.756398i | \(0.726957\pi\) | |||||||
\(734\) | −6.82318 | − | 1.82827i | −0.251848 | − | 0.0674825i | ||||
\(735\) | −10.3468 | − | 0.0310413i | −0.381648 | − | 0.00114498i | ||||
\(736\) | 0.544153 | − | 0.544153i | 0.0200577 | − | 0.0200577i | ||||
\(737\) | 13.9531 | − | 24.1676i | 0.513971 | − | 0.890223i | ||||
\(738\) | −3.28676 | − | 5.69284i | −0.120987 | − | 0.209556i | ||||
\(739\) | 24.1819 | + | 6.47951i | 0.889545 | + | 0.238353i | 0.674521 | − | 0.738256i | \(-0.264350\pi\) |
0.215024 | + | 0.976609i | \(0.431017\pi\) | |||||||
\(740\) | −4.33434 | − | 7.50731i | −0.159334 | − | 0.275974i | ||||
\(741\) | −1.02136 | − | 19.1829i | −0.0375205 | − | 0.704702i | ||||
\(742\) | 3.03694 | + | 23.3383i | 0.111490 | + | 0.856778i | ||||
\(743\) | −13.5455 | + | 3.62950i | −0.496936 | + | 0.133154i | −0.498578 | − | 0.866845i | \(-0.666144\pi\) |
0.00164161 | + | 0.999999i | \(0.499477\pi\) | |||||||
\(744\) | −0.392523 | −0.0143906 | ||||||||
\(745\) | 15.4419 | 0.565748 | ||||||||
\(746\) | 10.8271 | − | 2.90111i | 0.396408 | − | 0.106217i | ||||
\(747\) | 3.40099 | + | 12.6927i | 0.124436 | + | 0.464400i | ||||
\(748\) | 10.4858 | − | 39.1337i | 0.383400 | − | 1.43087i | ||||
\(749\) | 0.928804 | − | 6.97411i | 0.0339378 | − | 0.254828i | ||||
\(750\) | −5.77588 | − | 10.0041i | −0.210905 | − | 0.365299i | ||||
\(751\) | − | 32.1160i | − | 1.17193i | −0.810337 | − | 0.585964i | \(-0.800716\pi\) | ||
0.810337 | − | 0.585964i | \(-0.199284\pi\) | |||||||
\(752\) | −3.23250 | + | 12.0638i | −0.117877 | + | 0.439923i | ||||
\(753\) | −9.89703 | − | 5.71406i | −0.360668 | − | 0.208232i | ||||
\(754\) | 28.0061 | + | 14.2405i | 1.01992 | + | 0.518607i | ||||
\(755\) | 6.63701i | 0.241545i | ||||||||
\(756\) | −0.349274 | + | 2.62260i | −0.0127030 | + | 0.0953829i | ||||
\(757\) | 1.29840 | − | 2.24889i | 0.0471910 | − | 0.0817372i | −0.841465 | − | 0.540312i | \(-0.818306\pi\) |
0.888656 | + | 0.458574i | \(0.151640\pi\) | |||||||
\(758\) | 2.81423 | + | 1.62480i | 0.102218 | + | 0.0590153i | ||||
\(759\) | 1.16210 | + | 4.33701i | 0.0421815 | + | 0.157424i | ||||
\(760\) | −5.56870 | − | 5.56870i | −0.201998 | − | 0.201998i | ||||
\(761\) | −13.9619 | + | 3.74108i | −0.506118 | + | 0.135614i | −0.502838 | − | 0.864381i | \(-0.667711\pi\) |
−0.00328001 | + | 0.999995i | \(0.501044\pi\) | |||||||
\(762\) | 7.36119 | + | 7.36119i | 0.266668 | + | 0.266668i | ||||
\(763\) | −5.11779 | − | 39.3293i | −0.185276 | − | 1.42382i | ||||
\(764\) | 21.5502 | + | 12.4420i | 0.779658 | + | 0.450136i | ||||
\(765\) | −7.25758 | + | 7.25758i | −0.262399 | + | 0.262399i | ||||
\(766\) | 2.97448 | − | 5.15195i | 0.107472 | − | 0.186148i | ||||
\(767\) | −0.167247 | − | 3.14120i | −0.00603895 | − | 0.113422i | ||||
\(768\) | −0.866025 | + | 0.500000i | −0.0312500 | + | 0.0180422i | ||||
\(769\) | −5.20930 | − | 19.4414i | −0.187852 | − | 0.701074i | −0.994002 | − | 0.109363i | \(-0.965119\pi\) |
0.806150 | − | 0.591712i | \(-0.201548\pi\) | |||||||
\(770\) | 22.6269 | − | 2.94436i | 0.815416 | − | 0.106107i | ||||
\(771\) | 8.25015 | − | 4.76323i | 0.297122 | − | 0.171543i | ||||
\(772\) | −4.79914 | + | 17.9106i | −0.172725 | + | 0.644618i | ||||
\(773\) | 19.0927 | − | 19.0927i | 0.686718 | − | 0.686718i | −0.274787 | − | 0.961505i | \(-0.588607\pi\) |
0.961505 | + | 0.274787i | \(0.0886073\pi\) | |||||||
\(774\) | 0.116681 | − | 0.116681i | 0.00419401 | − | 0.00419401i | ||||
\(775\) | −0.285998 | + | 1.06736i | −0.0102733 | + | 0.0383407i | ||||
\(776\) | −0.764025 | + | 0.441110i | −0.0274269 | + | 0.0158349i | ||||
\(777\) | 14.3264 | + | 5.95937i | 0.513956 | + | 0.213791i | ||||
\(778\) | −2.39341 | − | 8.93234i | −0.0858080 | − | 0.320240i | ||||
\(779\) | −30.3310 | + | 17.5116i | −1.08672 | + | 0.627419i | ||||
\(780\) | 2.41556 | − | 4.75059i | 0.0864911 | − | 0.170098i | ||||
\(781\) | 15.3559 | − | 26.5972i | 0.549478 | − | 0.951724i | ||||
\(782\) | −3.77848 | + | 3.77848i | −0.135118 | + | 0.135118i | ||||
\(783\) | −7.54652 | − | 4.35699i | −0.269691 | − | 0.155706i | ||||
\(784\) | 6.75602 | + | 1.83201i | 0.241286 | + | 0.0654289i | ||||
\(785\) | −15.3785 | − | 15.3785i | −0.548881 | − | 0.548881i | ||||
\(786\) | 3.80894 | − | 1.02060i | 0.135860 | − | 0.0364037i | ||||
\(787\) | 21.1051 | + | 21.1051i | 0.752315 | + | 0.752315i | 0.974911 | − | 0.222596i | \(-0.0714529\pi\) |
−0.222596 | + | 0.974911i | \(0.571453\pi\) | |||||||
\(788\) | 0.251658 | + | 0.939199i | 0.00896493 | + | 0.0334576i | ||||
\(789\) | 20.0490 | + | 11.5753i | 0.713763 | + | 0.412091i | ||||
\(790\) | −5.86009 | + | 10.1500i | −0.208492 | + | 0.361120i | ||||
\(791\) | 24.2529 | − | 10.0033i | 0.862334 | − | 0.355676i | ||||
\(792\) | − | 5.83459i | − | 0.207323i | ||||||
\(793\) | −6.30791 | − | 19.3589i | −0.224001 | − | 0.687454i | ||||
\(794\) | 8.81322 | + | 5.08832i | 0.312770 | + | 0.180578i | ||||
\(795\) | −3.40310 | + | 12.7005i | −0.120695 | + | 0.450442i | ||||
\(796\) | − | 1.17166i | − | 0.0415284i | ||||||
\(797\) | 8.82062 | + | 15.2778i | 0.312442 | + | 0.541166i | 0.978891 | − | 0.204385i | \(-0.0655196\pi\) |
−0.666448 | + | 0.745551i | \(0.732186\pi\) | |||||||
\(798\) | 13.9730 | + | 1.86091i | 0.494638 | + | 0.0658753i | ||||
\(799\) | 22.4458 | − | 83.7687i | 0.794074 | − | 2.96352i | ||||
\(800\) | 0.728614 | + | 2.71922i | 0.0257604 | + | 0.0961391i | ||||
\(801\) | 8.61332 | − | 2.30793i | 0.304337 | − | 0.0815468i | ||||
\(802\) | −11.1051 | −0.392136 | ||||||||
\(803\) | 54.0544 | 1.90754 | ||||||||
\(804\) | 4.61993 | − | 1.23791i | 0.162932 | − | 0.0436576i | ||||
\(805\) | −2.77870 | − | 1.15586i | −0.0979362 | − | 0.0407387i | ||||
\(806\) | −1.34563 | + | 0.438461i | −0.0473978 | + | 0.0154441i | ||||
\(807\) | 13.7436 | + | 23.8047i | 0.483799 | + | 0.837965i | ||||
\(808\) | 11.5604 | + | 3.09759i | 0.406692 | + | 0.108973i | ||||
\(809\) | 5.98782 | + | 10.3712i | 0.210520 | + | 0.364632i | 0.951878 | − | 0.306479i | \(-0.0991508\pi\) |
−0.741357 | + | 0.671111i | \(0.765817\pi\) | |||||||
\(810\) | −0.739062 | + | 1.28009i | −0.0259680 | + | 0.0449779i | ||||
\(811\) | −20.9279 | + | 20.9279i | −0.734877 | + | 0.734877i | −0.971582 | − | 0.236704i | \(-0.923933\pi\) |
0.236704 | + | 0.971582i | \(0.423933\pi\) | |||||||
\(812\) | −14.0624 | + | 18.2697i | −0.493494 | + | 0.641141i | ||||
\(813\) | −26.9875 | − | 7.23129i | −0.946494 | − | 0.253612i | ||||
\(814\) | −33.0519 | − | 8.85624i | −1.15847 | − | 0.310411i | ||||
\(815\) | 33.9750i | 1.19009i | ||||||||
\(816\) | 6.01349 | − | 3.47189i | 0.210514 | − | 0.121541i | ||||
\(817\) | −0.621667 | − | 0.621667i | −0.0217494 | − | 0.0217494i | ||||
\(818\) | −12.9533 | −0.452901 | ||||||||
\(819\) | 1.73216 | + | 9.38081i | 0.0605265 | + | 0.327792i | ||||
\(820\) | −9.71649 | −0.339315 | ||||||||
\(821\) | −6.19268 | − | 6.19268i | −0.216126 | − | 0.216126i | 0.590738 | − | 0.806864i | \(-0.298837\pi\) |
−0.806864 | + | 0.590738i | \(0.798837\pi\) | |||||||
\(822\) | 2.47416 | − | 1.42846i | 0.0862962 | − | 0.0498231i | ||||
\(823\) | 42.9808i | 1.49822i | 0.662448 | + | 0.749108i | \(0.269518\pi\) | ||||
−0.662448 | + | 0.749108i | \(0.730482\pi\) | |||||||
\(824\) | 12.3725 | + | 3.31519i | 0.431015 | + | 0.115490i | ||||
\(825\) | −15.8656 | − | 4.25117i | −0.552368 | − | 0.148007i | ||||
\(826\) | 2.28808 | + | 0.304723i | 0.0796123 | + | 0.0106027i | ||||
\(827\) | 38.0028 | − | 38.0028i | 1.32149 | − | 1.32149i | 0.408915 | − | 0.912572i | \(-0.365907\pi\) |
0.912572 | − | 0.408915i | \(-0.134093\pi\) | |||||||
\(828\) | −0.384774 | + | 0.666449i | −0.0133718 | + | 0.0231607i | ||||
\(829\) | −12.8740 | − | 22.2983i | −0.447131 | − | 0.774454i | 0.551067 | − | 0.834461i | \(-0.314221\pi\) |
−0.998198 | + | 0.0600074i | \(0.980888\pi\) | |||||||
\(830\) | 18.7613 | + | 5.02708i | 0.651215 | + | 0.174493i | ||||
\(831\) | −4.18966 | − | 7.25671i | −0.145338 | − | 0.251732i | ||||
\(832\) | −2.41035 | + | 2.68146i | −0.0835639 | + | 0.0929627i | ||||
\(833\) | −46.9123 | − | 12.7211i | −1.62541 | − | 0.440759i | ||||
\(834\) | −9.23162 | + | 2.47361i | −0.319665 | + | 0.0856539i | ||||
\(835\) | −1.25689 | −0.0434965 | ||||||||
\(836\) | −31.0863 | −1.07514 | ||||||||
\(837\) | 0.379148 | − | 0.101593i | 0.0131053 | − | 0.00351155i | ||||
\(838\) | −5.84078 | − | 21.7981i | −0.201766 | − | 0.753002i | ||||
\(839\) | 4.51723 | − | 16.8585i | 0.155952 | − | 0.582021i | −0.843070 | − | 0.537804i | \(-0.819254\pi\) |
0.999022 | − | 0.0442169i | \(-0.0140793\pi\) | |||||||
\(840\) | 3.09903 | + | 2.38537i | 0.106927 | + | 0.0823029i | ||||
\(841\) | −23.4667 | − | 40.6455i | −0.809196 | − | 1.40157i | ||||
\(842\) | − | 20.3671i | − | 0.701895i | ||||||
\(843\) | 0.749516 | − | 2.79723i | 0.0258147 | − | 0.0963418i | ||||
\(844\) | 14.6058 | + | 8.43264i | 0.502751 | + | 0.290263i | ||||
\(845\) | 2.97436 | − | 18.9840i | 0.102321 | − | 0.653070i | ||||
\(846\) | − | 12.4894i | − | 0.429395i | ||||||
\(847\) | 37.1855 | − | 48.3108i | 1.27771 | − | 1.65998i | ||||
\(848\) | 4.44772 | − | 7.70367i | 0.152735 | − | 0.264545i | ||||
\(849\) | −0.779221 | − | 0.449883i | −0.0267428 | − | 0.0154400i | ||||
\(850\) | −5.05934 | − | 18.8817i | −0.173534 | − | 0.647637i | ||||
\(851\) | 3.19127 | + | 3.19127i | 0.109395 | + | 0.109395i | ||||
\(852\) | 5.08439 | − | 1.36236i | 0.174188 | − | 0.0466736i | ||||
\(853\) | −29.2570 | − | 29.2570i | −1.00174 | − | 1.00174i | −0.999998 | − | 0.00174344i | \(-0.999445\pi\) |
−0.00174344 | − | 0.999998i | \(-0.500555\pi\) | |||||||
\(854\) | 14.8157 | − | 1.92792i | 0.506983 | − | 0.0659721i | ||||
\(855\) | 6.82024 | + | 3.93766i | 0.233247 | + | 0.134665i | ||||
\(856\) | −1.88037 | + | 1.88037i | −0.0642696 | + | 0.0642696i | ||||
\(857\) | −17.5657 | + | 30.4247i | −0.600032 | + | 1.03929i | 0.392783 | + | 0.919631i | \(0.371512\pi\) |
−0.992815 | + | 0.119656i | \(0.961821\pi\) | |||||||
\(858\) | −6.51743 | − | 20.0019i | −0.222501 | − | 0.682853i | ||||
\(859\) | −16.7019 | + | 9.64284i | −0.569861 | + | 0.329009i | −0.757094 | − | 0.653306i | \(-0.773381\pi\) |
0.187233 | + | 0.982316i | \(0.440048\pi\) | |||||||
\(860\) | −0.0631280 | − | 0.235597i | −0.00215265 | − | 0.00803379i | ||||
\(861\) | 13.8138 | − | 10.5668i | 0.470773 | − | 0.360116i | ||||
\(862\) | −1.61134 | + | 0.930307i | −0.0548824 | + | 0.0316864i | ||||
\(863\) | 2.85260 | − | 10.6461i | 0.0971038 | − | 0.362396i | −0.900226 | − | 0.435422i | \(-0.856599\pi\) |
0.997330 | + | 0.0730262i | \(0.0232657\pi\) | |||||||
\(864\) | 0.707107 | − | 0.707107i | 0.0240563 | − | 0.0240563i | ||||
\(865\) | −9.65030 | + | 9.65030i | −0.328120 | + | 0.328120i | ||||
\(866\) | 8.62261 | − | 32.1800i | 0.293008 | − | 1.09352i | ||||
\(867\) | −27.0339 | + | 15.6081i | −0.918121 | + | 0.530077i | ||||
\(868\) | −0.134009 | − | 1.02984i | −0.00454857 | − | 0.0349549i | ||||
\(869\) | 11.9737 | + | 44.6866i | 0.406181 | + | 1.51589i | ||||
\(870\) | −11.1547 | + | 6.44017i | −0.378180 | + | 0.218342i | ||||
\(871\) | 14.4550 | − | 9.40434i | 0.489790 | − | 0.318654i | ||||
\(872\) | −7.49520 | + | 12.9821i | −0.253819 | + | 0.439628i | ||||
\(873\) | 0.623824 | − | 0.623824i | 0.0211132 | − | 0.0211132i | ||||
\(874\) | 3.55079 | + | 2.05005i | 0.120107 | + | 0.0693439i | ||||
\(875\) | 24.2752 | − | 18.5692i | 0.820652 | − | 0.627755i | ||||
\(876\) | 6.55097 | + | 6.55097i | 0.221337 | + | 0.221337i | ||||
\(877\) | 36.8629 | − | 9.87738i | 1.24477 | − | 0.333535i | 0.424457 | − | 0.905448i | \(-0.360465\pi\) |
0.820315 | + | 0.571913i | \(0.193798\pi\) | |||||||
\(878\) | 17.2060 | + | 17.2060i | 0.580675 | + | 0.580675i | ||||
\(879\) | 8.10572 | + | 30.2510i | 0.273399 | + | 1.02034i | ||||
\(880\) | −7.46883 | − | 4.31213i | −0.251774 | − | 0.145362i | ||||
\(881\) | 6.45418 | − | 11.1790i | 0.217447 | − | 0.376629i | −0.736580 | − | 0.676351i | \(-0.763560\pi\) |
0.954027 | + | 0.299721i | \(0.0968938\pi\) | |||||||
\(882\) | −6.99997 | − | 0.0210005i | −0.235701 | − | 0.000707123i | ||||
\(883\) | − | 28.8060i | − | 0.969399i | −0.874681 | − | 0.484700i | \(-0.838929\pi\) | ||
0.874681 | − | 0.484700i | \(-0.161071\pi\) | |||||||
\(884\) | 16.7370 | − | 18.6194i | 0.562925 | − | 0.626240i | ||||
\(885\) | 1.11681 | + | 0.644793i | 0.0375413 | + | 0.0216745i | ||||
\(886\) | −8.06111 | + | 30.0845i | −0.270818 | + | 1.01071i | ||||
\(887\) | 1.28523i | 0.0431537i | 0.999767 | + | 0.0215768i | \(0.00686866\pi\) | ||||
−0.999767 | + | 0.0215768i | \(0.993131\pi\) | |||||||
\(888\) | −2.93233 | − | 5.07894i | −0.0984025 | − | 0.170438i | ||||
\(889\) | −16.7999 | + | 21.8262i | −0.563451 | + | 0.732027i | ||||
\(890\) | 3.41141 | − | 12.7316i | 0.114351 | − | 0.426763i | ||||
\(891\) | 1.51010 | + | 5.63579i | 0.0505904 | + | 0.188806i | ||||
\(892\) | −0.244483 | + | 0.0655089i | −0.00818589 | + | 0.00219340i | ||||
\(893\) | −66.5426 | −2.22676 | ||||||||
\(894\) | 10.4470 | 0.349399 | ||||||||
\(895\) | −14.9083 | + | 3.99467i | −0.498330 | + | 0.133527i | ||||
\(896\) | −1.60748 | − | 2.10143i | −0.0537022 | − | 0.0702038i | ||||
\(897\) | −0.574621 | + | 2.71449i | −0.0191860 | + | 0.0906343i | ||||
\(898\) | −5.74605 | − | 9.95245i | −0.191748 | − | 0.332118i | ||||
\(899\) | 3.30389 | + | 0.885275i | 0.110191 | + | 0.0295256i | ||||
\(900\) | −1.40757 | − | 2.43799i | −0.0469191 | − | 0.0812663i | ||||
\(901\) | −30.8840 | + | 53.4926i | −1.02889 | + | 1.78210i | ||||
\(902\) | −27.1203 | + | 27.1203i | −0.903007 | + | 0.903007i | ||||
\(903\) | 0.345963 | + | 0.266292i | 0.0115129 | + | 0.00886165i | ||||
\(904\) | −9.57798 | − | 2.56641i | −0.318559 | − | 0.0853576i | ||||
\(905\) | 1.72956 | + | 0.463435i | 0.0574926 | + | 0.0154051i | ||||
\(906\) | 4.49016i | 0.149175i | ||||||||
\(907\) | −34.9710 | + | 20.1905i | −1.16119 | + | 0.670415i | −0.951590 | − | 0.307371i | \(-0.900551\pi\) |
−0.209604 | + | 0.977786i | \(0.567217\pi\) | |||||||
\(908\) | 1.18113 | + | 1.18113i | 0.0391971 | + | 0.0391971i | ||||
\(909\) | −11.9682 | −0.396959 | ||||||||
\(910\) | 13.2885 | + | 4.71568i | 0.440509 | + | 0.156323i | ||||
\(911\) | 15.9440 | 0.528249 | 0.264124 | − | 0.964489i | \(-0.414917\pi\) | ||||
0.264124 | + | 0.964489i | \(0.414917\pi\) | |||||||
\(912\) | −3.76741 | − | 3.76741i | −0.124751 | − | 0.124751i | ||||
\(913\) | 66.3973 | − | 38.3345i | 2.19743 | − | 1.26869i | ||||
\(914\) | − | 38.1702i | − | 1.26256i | ||||||
\(915\) | 8.06259 | + | 2.16036i | 0.266541 | + | 0.0714195i | ||||
\(916\) | 25.9161 | + | 6.94421i | 0.856294 | + | 0.229443i | ||||
\(917\) | 3.97807 | + | 9.64482i | 0.131368 | + | 0.318500i | ||||
\(918\) | −4.91000 | + | 4.91000i | −0.162054 | + | 0.162054i | ||||
\(919\) | −23.4445 | + | 40.6071i | −0.773362 | + | 1.33950i | 0.162348 | + | 0.986734i | \(0.448093\pi\) |
−0.935710 | + | 0.352769i | \(0.885240\pi\) | |||||||
\(920\) | 0.568744 | + | 0.985094i | 0.0187509 | + | 0.0324776i | ||||
\(921\) | −8.62061 | − | 2.30989i | −0.284059 | − | 0.0761133i | ||||
\(922\) | −3.27171 | − | 5.66676i | −0.107748 | − | 0.186625i | ||||
\(923\) | 15.9083 | − | 10.3498i | 0.523627 | − | 0.340668i | ||||
\(924\) | 15.3078 | − | 1.99196i | 0.503591 | − | 0.0655306i | ||||
\(925\) | −15.9473 | + | 4.27307i | −0.524344 | + | 0.140498i | ||||
\(926\) | −14.9505 | −0.491304 | ||||||||
\(927\) | −12.8089 | −0.420700 | ||||||||
\(928\) | 8.41705 | − | 2.25534i | 0.276303 | − | 0.0740353i | ||||
\(929\) | −6.63158 | − | 24.7494i | −0.217575 | − | 0.812001i | −0.985244 | − | 0.171155i | \(-0.945250\pi\) |
0.767669 | − | 0.640846i | \(-0.221416\pi\) | |||||||
\(930\) | 0.150166 | − | 0.560429i | 0.00492415 | − | 0.0183772i | ||||
\(931\) | −0.111889 | + | 37.2953i | −0.00366701 | + | 1.22230i | ||||
\(932\) | 8.39675 | + | 14.5436i | 0.275045 | + | 0.476391i | ||||
\(933\) | − | 1.71214i | − | 0.0560529i | ||||||
\(934\) | −0.395022 | + | 1.47424i | −0.0129255 | + | 0.0482387i | ||||
\(935\) | 51.8619 | + | 29.9425i | 1.69607 | + | 0.979224i | ||||
\(936\) | 1.63421 | − | 3.21393i | 0.0534158 | − | 0.105051i | ||||
\(937\) | − | 9.10555i | − | 0.297465i | −0.988877 | − | 0.148733i | \(-0.952481\pi\) | ||
0.988877 | − | 0.148733i | \(-0.0475194\pi\) | |||||||
\(938\) | 4.82507 | + | 11.6984i | 0.157544 | + | 0.381965i | ||||
\(939\) | 6.33634 | − | 10.9749i | 0.206779 | − | 0.358151i | ||||
\(940\) | −15.9876 | − | 9.23045i | −0.521458 | − | 0.301064i | ||||
\(941\) | −2.64121 | − | 9.85714i | −0.0861010 | − | 0.321333i | 0.909419 | − | 0.415880i | \(-0.136526\pi\) |
−0.995520 | + | 0.0945468i | \(0.969860\pi\) | |||||||
\(942\) | −10.4040 | − | 10.4040i | −0.338982 | − | 0.338982i | ||||
\(943\) | 4.88628 | − | 1.30927i | 0.159119 | − | 0.0426359i | ||||
\(944\) | −0.616913 | − | 0.616913i | −0.0200788 | − | 0.0200788i | ||||
\(945\) | −3.61081 | − | 1.50200i | −0.117460 | − | 0.0488600i | ||||
\(946\) | −0.833789 | − | 0.481388i | −0.0271088 | − | 0.0156513i | ||||
\(947\) | −0.829559 | + | 0.829559i | −0.0269570 | + | 0.0269570i | −0.720457 | − | 0.693500i | \(-0.756068\pi\) |
0.693500 | + | 0.720457i | \(0.256068\pi\) | |||||||
\(948\) | −3.96454 | + | 6.86679i | −0.128762 | + | 0.223023i | ||||
\(949\) | 29.7754 | + | 15.1401i | 0.966549 | + | 0.491468i | ||||
\(950\) | −12.9894 | + | 7.49944i | −0.421432 | + | 0.243314i | ||||
\(951\) | −3.56867 | − | 13.3185i | −0.115722 | − | 0.431881i | ||||
\(952\) | 11.1620 | + | 14.5919i | 0.361762 | + | 0.472925i | ||||
\(953\) | −33.2954 | + | 19.2231i | −1.07855 | + | 0.622698i | −0.930504 | − | 0.366283i | \(-0.880630\pi\) |
−0.148042 | + | 0.988981i | \(0.547297\pi\) | |||||||
\(954\) | −2.30231 | + | 8.59233i | −0.0745400 | + | 0.278187i | ||||
\(955\) | −26.0085 | + | 26.0085i | −0.841617 | + | 0.841617i | ||||
\(956\) | 1.66598 | − | 1.66598i | 0.0538816 | − | 0.0538816i | ||||
\(957\) | −13.1590 | + | 49.1101i | −0.425370 | + | 1.58750i | ||||
\(958\) | −3.03129 | + | 1.75011i | −0.0979364 | + | 0.0565436i | ||||
\(959\) | 4.59243 | + | 6.00360i | 0.148297 | + | 0.193866i | ||||
\(960\) | −0.382567 | − | 1.42776i | −0.0123473 | − | 0.0460807i | ||||
\(961\) | 26.7134 | − | 15.4230i | 0.861721 | − | 0.497515i | ||||
\(962\) | −15.7258 | − | 14.1359i | −0.507020 | − | 0.455759i | ||||
\(963\) | 1.32962 | − | 2.30297i | 0.0428464 | − | 0.0742121i | ||||
\(964\) | −10.5050 | + | 10.5050i | −0.338344 | + | 0.338344i | ||||
\(965\) | −23.7361 | − | 13.7040i | −0.764092 | − | 0.441148i | ||||
\(966\) | −1.87988 | − | 0.781977i | −0.0604841 | − | 0.0251597i | ||||
\(967\) | 16.9249 | + | 16.9249i | 0.544268 | + | 0.544268i | 0.924777 | − | 0.380509i | \(-0.124251\pi\) |
−0.380509 | + | 0.924777i | \(0.624251\pi\) | |||||||
\(968\) | −22.2573 | + | 5.96384i | −0.715378 | + | 0.191685i | ||||
\(969\) | 26.1601 | + | 26.1601i | 0.840382 | + | 0.840382i | ||||
\(970\) | −0.337508 | − | 1.25960i | −0.0108367 | − | 0.0404432i | ||||
\(971\) | −20.2033 | − | 11.6644i | −0.648355 | − | 0.374328i | 0.139471 | − | 0.990226i | \(-0.455460\pi\) |
−0.787826 | + | 0.615898i | \(0.788793\pi\) | |||||||
\(972\) | −0.500000 | + | 0.866025i | −0.0160375 | + | 0.0277778i | ||||
\(973\) | −9.64155 | − | 23.3759i | −0.309094 | − | 0.749396i | ||||
\(974\) | 4.37167i | 0.140077i | ||||||||
\(975\) | −7.54869 | − | 6.78550i | −0.241752 | − | 0.217310i | ||||
\(976\) | −4.89047 | − | 2.82351i | −0.156540 | − | 0.0903785i | ||||
\(977\) | −8.62770 | + | 32.1990i | −0.276025 | + | 1.03014i | 0.679127 | + | 0.734021i | \(0.262359\pi\) |
−0.955152 | + | 0.296117i | \(0.904308\pi\) | |||||||
\(978\) | 22.9852i | 0.734985i | ||||||||
\(979\) | −26.0140 | − | 45.0576i | −0.831412 | − | 1.44005i | ||||
\(980\) | −5.20030 | + | 8.94509i | −0.166117 | + | 0.285741i | ||||
\(981\) | 3.87980 | − | 14.4796i | 0.123872 | − | 0.462298i | ||||
\(982\) | 0.0995838 | + | 0.371652i | 0.00317785 | + | 0.0118599i | ||||
\(983\) | 29.8863 | − | 8.00802i | 0.953226 | − | 0.255416i | 0.251495 | − | 0.967858i | \(-0.419078\pi\) |
0.701731 | + | 0.712442i | \(0.252411\pi\) | |||||||
\(984\) | −6.57353 | −0.209556 | ||||||||
\(985\) | −1.43723 | −0.0457938 | ||||||||
\(986\) | −58.4462 | + | 15.6606i | −1.86131 | + | 0.498735i | ||||
\(987\) | 32.7676 | − | 4.26394i | 1.04300 | − | 0.135723i | ||||
\(988\) | −17.1236 | − | 8.70694i | −0.544773 | − | 0.277005i | ||||
\(989\) | 0.0634923 | + | 0.109972i | 0.00201894 | + | 0.00349690i | ||||
\(990\) | 8.33039 | + | 2.23212i | 0.264757 | + | 0.0709415i | ||||
\(991\) | 23.2413 | + | 40.2552i | 0.738285 | + | 1.27875i | 0.953267 | + | 0.302130i | \(0.0976976\pi\) |
−0.214981 | + | 0.976618i | \(0.568969\pi\) | |||||||
\(992\) | −0.196262 | + | 0.339935i | −0.00623131 | + | 0.0107930i | ||||
\(993\) | 18.1988 | − | 18.1988i | 0.577522 | − | 0.577522i | ||||
\(994\) | 5.31016 | + | 12.8745i | 0.168428 | + | 0.408353i | ||||
\(995\) | 1.67285 | + | 0.448238i | 0.0530329 | + | 0.0142101i | ||||
\(996\) | 12.6927 | + | 3.40099i | 0.402182 | + | 0.107764i | ||||
\(997\) | − | 58.8770i | − | 1.86465i | −0.361617 | − | 0.932327i | \(-0.617775\pi\) | ||
0.361617 | − | 0.932327i | \(-0.382225\pi\) | |||||||
\(998\) | −7.35205 | + | 4.24471i | −0.232725 | + | 0.134364i | ||||
\(999\) | 4.14694 | + | 4.14694i | 0.131203 | + | 0.131203i |
(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 | 546.2.cg.b.241.7 | yes | 40 | |
7.5 | odd | 6 | 546.2.by.b.397.7 | ✓ | 40 | ||
13.2 | odd | 12 | 546.2.by.b.535.7 | yes | 40 | ||
91.54 | even | 12 | inner | 546.2.cg.b.145.7 | yes | 40 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
546.2.by.b.397.7 | ✓ | 40 | 7.5 | odd | 6 | ||
546.2.by.b.535.7 | yes | 40 | 13.2 | odd | 12 | ||
546.2.cg.b.145.7 | yes | 40 | 91.54 | even | 12 | inner | |
546.2.cg.b.241.7 | yes | 40 | 1.1 | even | 1 | trivial |