Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [605,2,Mod(16,605)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(605, base_ring=CyclotomicField(110))
chi = DirichletCharacter(H, H._module([0, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("605.16");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 605 = 5 \cdot 11^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 605.s (of order \(55\), degree \(40\), 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: | \(4.83094932229\) |
Analytic rank: | \(0\) |
Dimension: | \(880\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{55})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{55}]$ |
Embedding invariants
Embedding label | 16.8 | ||
Character | \(\chi\) | \(=\) | 605.16 |
Dual form | 605.2.s.b.416.8 |
$q$-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 \(\left(\mathbb{Z}/605\mathbb{Z}\right)^\times\).
\(n\) | \(122\) | \(486\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{55}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.756073 | − | 0.0867513i | −0.534624 | − | 0.0613424i | −0.157525 | − | 0.987515i | \(-0.550351\pi\) |
−0.377100 | + | 0.926173i | \(0.623079\pi\) | |||||||
\(3\) | −0.251034 | − | 0.182387i | −0.144935 | − | 0.105301i | 0.512955 | − | 0.858415i | \(-0.328551\pi\) |
−0.657890 | + | 0.753114i | \(0.728551\pi\) | |||||||
\(4\) | −1.38390 | − | 0.321813i | −0.691952 | − | 0.160906i | ||||
\(5\) | −0.564443 | + | 0.825472i | −0.252427 | + | 0.369162i | ||||
\(6\) | 0.173978 | + | 0.159675i | 0.0710261 | + | 0.0651872i | ||||
\(7\) | −2.99384 | − | 3.08059i | −1.13156 | − | 1.16435i | −0.984529 | − | 0.175221i | \(-0.943936\pi\) |
−0.147036 | − | 0.989131i | \(-0.546973\pi\) | |||||||
\(8\) | 2.45196 | + | 0.874859i | 0.866900 | + | 0.309309i | ||||
\(9\) | −0.897298 | − | 2.76160i | −0.299099 | − | 0.920533i | ||||
\(10\) | 0.498371 | − | 0.575151i | 0.157599 | − | 0.181879i | ||||
\(11\) | 2.42167 | + | 2.26617i | 0.730160 | + | 0.683276i | ||||
\(12\) | 0.288712 | + | 0.333192i | 0.0833441 | + | 0.0961842i | ||||
\(13\) | 1.71763 | − | 2.84837i | 0.476384 | − | 0.789994i | −0.521618 | − | 0.853179i | \(-0.674671\pi\) |
0.998002 | + | 0.0631850i | \(0.0201258\pi\) | |||||||
\(14\) | 1.99632 | + | 2.58887i | 0.533538 | + | 0.691904i | ||||
\(15\) | 0.292250 | − | 0.104274i | 0.0754585 | − | 0.0269235i | ||||
\(16\) | 0.772128 | + | 0.379630i | 0.193032 | + | 0.0949074i | ||||
\(17\) | −4.81891 | + | 3.94041i | −1.16876 | + | 0.955689i | −0.999553 | − | 0.0298921i | \(-0.990484\pi\) |
−0.169205 | + | 0.985581i | \(0.554120\pi\) | |||||||
\(18\) | 0.438850 | + | 2.16581i | 0.103438 | + | 0.510487i | ||||
\(19\) | 1.78622 | + | 0.102140i | 0.409788 | + | 0.0234325i | 0.260768 | − | 0.965402i | \(-0.416024\pi\) |
0.149020 | + | 0.988834i | \(0.452388\pi\) | |||||||
\(20\) | 1.04678 | − | 0.960728i | 0.234068 | − | 0.214825i | ||||
\(21\) | 0.189697 | + | 1.31937i | 0.0413952 | + | 0.287910i | ||||
\(22\) | −1.63436 | − | 1.92347i | −0.348448 | − | 0.410086i | ||||
\(23\) | −0.955336 | + | 6.64451i | −0.199201 | + | 1.38548i | 0.607408 | + | 0.794390i | \(0.292209\pi\) |
−0.806609 | + | 0.591085i | \(0.798700\pi\) | |||||||
\(24\) | −0.455964 | − | 0.666826i | −0.0930732 | − | 0.136115i | ||||
\(25\) | −0.362808 | − | 0.931864i | −0.0725615 | − | 0.186373i | ||||
\(26\) | −1.54575 | + | 2.00457i | −0.303147 | + | 0.393128i | ||||
\(27\) | −0.566086 | + | 1.74223i | −0.108943 | + | 0.335293i | ||||
\(28\) | 3.15181 | + | 5.22669i | 0.595636 | + | 0.987752i | ||||
\(29\) | −3.64129 | + | 9.35259i | −0.676171 | + | 1.73673i | 1.40072e−5 | 1.00000i | \(0.499996\pi\) | |
−0.676185 | + | 0.736732i | \(0.736368\pi\) | |||||||
\(30\) | −0.230008 | + | 0.0534861i | −0.0419935 | + | 0.00976518i | ||||
\(31\) | −2.62447 | − | 1.10911i | −0.471369 | − | 0.199202i | 0.140627 | − | 0.990063i | \(-0.455088\pi\) |
−0.611997 | + | 0.790860i | \(0.709633\pi\) | |||||||
\(32\) | −4.93103 | − | 3.16898i | −0.871692 | − | 0.560202i | ||||
\(33\) | −0.194601 | − | 1.01057i | −0.0338757 | − | 0.175917i | ||||
\(34\) | 3.98529 | − | 2.56119i | 0.683471 | − | 0.439240i | ||||
\(35\) | 4.23279 | − | 0.732513i | 0.715472 | − | 0.123817i | ||||
\(36\) | 0.353055 | + | 4.11055i | 0.0588425 | + | 0.685091i | ||||
\(37\) | −0.0668430 | + | 0.778239i | −0.0109889 | + | 0.127942i | −0.999770 | − | 0.0214276i | \(-0.993179\pi\) |
0.988781 | + | 0.149369i | \(0.0477243\pi\) | |||||||
\(38\) | −1.34166 | − | 0.232183i | −0.217645 | − | 0.0376650i | ||||
\(39\) | −0.950687 | + | 0.401764i | −0.152232 | + | 0.0643337i | ||||
\(40\) | −2.10617 | + | 1.53022i | −0.333014 | + | 0.241949i | ||||
\(41\) | −2.43396 | + | 1.37452i | −0.380121 | + | 0.214664i | −0.669937 | − | 0.742418i | \(-0.733679\pi\) |
0.289816 | + | 0.957083i | \(0.406406\pi\) | |||||||
\(42\) | −0.0289675 | − | 1.01400i | −0.00446979 | − | 0.156463i | ||||
\(43\) | −2.85568 | + | 0.838504i | −0.435488 | + | 0.127871i | −0.492126 | − | 0.870524i | \(-0.663780\pi\) |
0.0566382 | + | 0.998395i | \(0.481962\pi\) | |||||||
\(44\) | −2.62207 | − | 3.91548i | −0.395292 | − | 0.590281i | ||||
\(45\) | 2.78610 | + | 0.818072i | 0.415327 | + | 0.121951i | ||||
\(46\) | 1.29872 | − | 4.94086i | 0.191486 | − | 0.728490i | ||||
\(47\) | 0.226883 | − | 1.11971i | 0.0330943 | − | 0.163327i | −0.960127 | − | 0.279563i | \(-0.909810\pi\) |
0.993222 | + | 0.116236i | \(0.0370830\pi\) | |||||||
\(48\) | −0.124591 | − | 0.236126i | −0.0179831 | − | 0.0340818i | ||||
\(49\) | −0.327055 | + | 11.4484i | −0.0467221 | + | 1.63549i | ||||
\(50\) | 0.193469 | + | 0.736031i | 0.0273606 | + | 0.104091i | ||||
\(51\) | 1.92839 | − | 0.110269i | 0.270028 | − | 0.0154408i | ||||
\(52\) | −3.29367 | + | 3.38911i | −0.456750 | + | 0.469985i | ||||
\(53\) | 3.81127 | − | 1.87387i | 0.523518 | − | 0.257396i | −0.160275 | − | 0.987072i | \(-0.551238\pi\) |
0.683793 | + | 0.729676i | \(0.260329\pi\) | |||||||
\(54\) | 0.579144 | − | 1.26815i | 0.0788115 | − | 0.172573i | ||||
\(55\) | −3.23755 | + | 0.719894i | −0.436552 | + | 0.0970704i | ||||
\(56\) | −4.64571 | − | 10.1727i | −0.620809 | − | 1.35938i | ||||
\(57\) | −0.429774 | − | 0.351424i | −0.0569250 | − | 0.0465473i | ||||
\(58\) | 3.56443 | − | 6.75535i | 0.468033 | − | 0.887021i | ||||
\(59\) | 1.58966 | + | 0.897723i | 0.206956 | + | 0.116874i | 0.591726 | − | 0.806139i | \(-0.298447\pi\) |
−0.384770 | + | 0.923012i | \(0.625719\pi\) | |||||||
\(60\) | −0.438002 | + | 0.0502561i | −0.0565458 | + | 0.00648803i | ||||
\(61\) | 12.7413 | − | 1.46193i | 1.63135 | − | 0.187180i | 0.750601 | − | 0.660756i | \(-0.229764\pi\) |
0.880753 | + | 0.473575i | \(0.157037\pi\) | |||||||
\(62\) | 1.88808 | + | 1.06625i | 0.239786 | + | 0.135413i | ||||
\(63\) | −5.82098 | + | 11.0320i | −0.733375 | + | 1.38990i | ||||
\(64\) | 2.12115 | + | 1.73446i | 0.265144 | + | 0.216807i | ||||
\(65\) | 1.38174 | + | 3.02559i | 0.171384 | + | 0.375279i | ||||
\(66\) | 0.0594646 | + | 0.780944i | 0.00731959 | + | 0.0961275i | ||||
\(67\) | 0.522399 | − | 1.14389i | 0.0638212 | − | 0.139749i | −0.875034 | − | 0.484062i | \(-0.839161\pi\) |
0.938855 | + | 0.344313i | \(0.111888\pi\) | |||||||
\(68\) | 7.93698 | − | 3.90235i | 0.962501 | − | 0.473230i | ||||
\(69\) | 1.45169 | − | 1.49376i | 0.174763 | − | 0.179827i | ||||
\(70\) | −3.26384 | + | 0.186633i | −0.390104 | + | 0.0223070i | ||||
\(71\) | 3.50605 | + | 13.3384i | 0.416091 | + | 1.58298i | 0.763851 | + | 0.645392i | \(0.223306\pi\) |
−0.347760 | + | 0.937584i | \(0.613057\pi\) | |||||||
\(72\) | 0.215868 | − | 7.55635i | 0.0254402 | − | 0.890525i | ||||
\(73\) | −0.182320 | − | 0.345535i | −0.0213389 | − | 0.0404418i | 0.873532 | − | 0.486766i | \(-0.161824\pi\) |
−0.894871 | + | 0.446324i | \(0.852733\pi\) | |||||||
\(74\) | 0.118051 | − | 0.582607i | 0.0137232 | − | 0.0677267i | ||||
\(75\) | −0.0788827 | + | 0.300101i | −0.00910859 | + | 0.0346527i | ||||
\(76\) | −2.43909 | − | 0.716182i | −0.279783 | − | 0.0821517i | ||||
\(77\) | −0.268945 | − | 14.2447i | −0.0306491 | − | 1.62333i | ||||
\(78\) | 0.753642 | − | 0.221289i | 0.0853332 | − | 0.0250561i | ||||
\(79\) | 0.302948 | + | 10.6046i | 0.0340844 | + | 1.19311i | 0.819107 | + | 0.573641i | \(0.194470\pi\) |
−0.785022 | + | 0.619467i | \(0.787349\pi\) | |||||||
\(80\) | −0.749196 | + | 0.423091i | −0.0837627 | + | 0.0473030i | ||||
\(81\) | −6.58760 | + | 4.78617i | −0.731956 | + | 0.531797i | ||||
\(82\) | 1.95950 | − | 0.828090i | 0.216390 | − | 0.0914472i | ||||
\(83\) | −16.2549 | − | 2.81302i | −1.78421 | − | 0.308769i | −0.819693 | − | 0.572804i | \(-0.805856\pi\) |
−0.964513 | + | 0.264035i | \(0.914947\pi\) | |||||||
\(84\) | 0.162068 | − | 1.88693i | 0.0176831 | − | 0.205880i | ||||
\(85\) | −0.532691 | − | 6.20201i | −0.0577785 | − | 0.672703i | ||||
\(86\) | 2.23185 | − | 0.386236i | 0.240666 | − | 0.0416489i | ||||
\(87\) | 2.61988 | − | 1.68369i | 0.280880 | − | 0.180511i | ||||
\(88\) | 3.95526 | + | 7.67519i | 0.421632 | + | 0.818178i | ||||
\(89\) | 13.3486 | + | 8.57864i | 1.41495 | + | 0.909334i | 1.00000 | 0.000509376i | \(-0.000162139\pi\) | |
0.414952 | + | 0.909843i | \(0.363799\pi\) | |||||||
\(90\) | −2.03552 | − | 0.860219i | −0.214563 | − | 0.0906751i | ||||
\(91\) | −13.9169 | + | 3.23624i | −1.45889 | + | 0.339251i | ||||
\(92\) | 3.46038 | − | 8.88792i | 0.360770 | − | 0.926629i | ||||
\(93\) | 0.456545 | + | 0.757094i | 0.0473415 | + | 0.0785070i | ||||
\(94\) | −0.268677 | + | 0.826902i | −0.0277119 | + | 0.0852885i | ||||
\(95\) | −1.09254 | + | 1.41683i | −0.112092 | + | 0.145363i | ||||
\(96\) | 0.659876 | + | 1.69488i | 0.0673483 | + | 0.172983i | ||||
\(97\) | −4.00028 | − | 5.85022i | −0.406167 | − | 0.594000i | 0.567108 | − | 0.823643i | \(-0.308062\pi\) |
−0.973275 | + | 0.229643i | \(0.926244\pi\) | |||||||
\(98\) | 1.24044 | − | 8.62747i | 0.125304 | − | 0.871506i | ||||
\(99\) | 4.08530 | − | 8.72110i | 0.410588 | − | 0.876504i | ||||
\(100\) | 0.202205 | + | 1.40637i | 0.0202205 | + | 0.140637i | ||||
\(101\) | 6.92478 | − | 6.35550i | 0.689041 | − | 0.632396i | −0.253168 | − | 0.967422i | \(-0.581472\pi\) |
0.942209 | + | 0.335026i | \(0.108745\pi\) | |||||||
\(102\) | −1.46757 | − | 0.0839186i | −0.145311 | − | 0.00830918i | ||||
\(103\) | 0.416759 | + | 2.05679i | 0.0410645 | + | 0.202661i | 0.995362 | − | 0.0961956i | \(-0.0306674\pi\) |
−0.954298 | + | 0.298857i | \(0.903395\pi\) | |||||||
\(104\) | 6.70348 | − | 5.48141i | 0.657330 | − | 0.537496i | ||||
\(105\) | −1.19617 | − | 0.588120i | −0.116735 | − | 0.0573946i | ||||
\(106\) | −3.04416 | + | 1.08615i | −0.295675 | + | 0.105497i | ||||
\(107\) | 8.60185 | + | 11.1551i | 0.831572 | + | 1.07840i | 0.995761 | + | 0.0919733i | \(0.0293174\pi\) |
−0.164189 | + | 0.986429i | \(0.552501\pi\) | |||||||
\(108\) | 1.34408 | − | 2.22891i | 0.129334 | − | 0.214477i | ||||
\(109\) | −11.2849 | − | 13.0235i | −1.08090 | − | 1.24742i | −0.967229 | − | 0.253906i | \(-0.918285\pi\) |
−0.113671 | − | 0.993518i | \(-0.536261\pi\) | |||||||
\(110\) | 2.51028 | − | 0.263430i | 0.239346 | − | 0.0251171i | ||||
\(111\) | 0.158720 | − | 0.183173i | 0.0150651 | − | 0.0173860i | ||||
\(112\) | −1.14214 | − | 3.51516i | −0.107922 | − | 0.332151i | ||||
\(113\) | −17.2806 | − | 6.16569i | −1.62562 | − | 0.580019i | −0.643034 | − | 0.765838i | \(-0.722324\pi\) |
−0.982584 | + | 0.185819i | \(0.940506\pi\) | |||||||
\(114\) | 0.294454 | + | 0.302986i | 0.0275781 | + | 0.0283772i | ||||
\(115\) | −4.94562 | − | 4.53905i | −0.461182 | − | 0.423269i | ||||
\(116\) | 8.04898 | − | 11.7713i | 0.747329 | − | 1.09293i | ||||
\(117\) | −9.40727 | − | 2.18757i | −0.869702 | − | 0.202241i | ||||
\(118\) | −1.12402 | − | 0.816649i | −0.103475 | − | 0.0751787i | ||||
\(119\) | 26.5658 | + | 3.04814i | 2.43528 | + | 0.279423i | ||||
\(120\) | 0.807811 | 0.0737427 | ||||||||
\(121\) | 0.728943 | + | 10.9758i | 0.0662675 | + | 0.997802i | ||||
\(122\) | −9.76017 | −0.883644 | ||||||||
\(123\) | 0.861702 | + | 0.0988711i | 0.0776971 | + | 0.00891491i | ||||
\(124\) | 3.27509 | + | 2.37949i | 0.294112 | + | 0.213685i | ||||
\(125\) | 0.974012 | + | 0.226497i | 0.0871183 | + | 0.0202585i | ||||
\(126\) | 5.35813 | − | 7.83601i | 0.477340 | − | 0.698087i | ||||
\(127\) | −10.1504 | − | 9.31592i | −0.900700 | − | 0.826655i | 0.0847885 | − | 0.996399i | \(-0.472979\pi\) |
−0.985488 | + | 0.169744i | \(0.945706\pi\) | |||||||
\(128\) | 6.71696 | + | 6.91159i | 0.593701 | + | 0.610904i | ||||
\(129\) | 0.869806 | + | 0.310346i | 0.0765821 | + | 0.0273244i | ||||
\(130\) | −0.782224 | − | 2.40744i | −0.0686056 | − | 0.211146i | ||||
\(131\) | −5.64736 | + | 6.51740i | −0.493412 | + | 0.569428i | −0.946774 | − | 0.321898i | \(-0.895679\pi\) |
0.453362 | + | 0.891326i | \(0.350225\pi\) | |||||||
\(132\) | −0.0559043 | + | 1.46115i | −0.00486584 | + | 0.127177i | ||||
\(133\) | −5.03302 | − | 5.80841i | −0.436418 | − | 0.503653i | ||||
\(134\) | −0.494206 | + | 0.819549i | −0.0426929 | + | 0.0707982i | ||||
\(135\) | −1.11864 | − | 1.45068i | −0.0962774 | − | 0.124855i | ||||
\(136\) | −15.2631 | + | 5.44587i | −1.30880 | + | 0.466979i | ||||
\(137\) | −3.35197 | − | 1.64805i | −0.286378 | − | 0.140803i | 0.292379 | − | 0.956302i | \(-0.405553\pi\) |
−0.578757 | + | 0.815500i | \(0.696462\pi\) | |||||||
\(138\) | −1.22717 | + | 1.00345i | −0.104464 | + | 0.0854196i | ||||
\(139\) | 0.441463 | + | 2.17870i | 0.0374444 | + | 0.184795i | 0.994440 | − | 0.105308i | \(-0.0335830\pi\) |
−0.956995 | + | 0.290104i | \(0.906310\pi\) | |||||||
\(140\) | −6.09350 | − | 0.348439i | −0.514995 | − | 0.0294485i | ||||
\(141\) | −0.261176 | + | 0.239705i | −0.0219950 | + | 0.0201868i | ||||
\(142\) | −1.49371 | − | 10.3890i | −0.125349 | − | 0.871822i | ||||
\(143\) | 10.6144 | − | 3.00536i | 0.887621 | − | 0.251320i | ||||
\(144\) | 0.355556 | − | 2.47295i | 0.0296297 | − | 0.206079i | ||||
\(145\) | −5.66499 | − | 8.28479i | −0.470452 | − | 0.688014i | ||||
\(146\) | 0.107872 | + | 0.277066i | 0.00892752 | + | 0.0229301i | ||||
\(147\) | 2.17014 | − | 2.81429i | 0.178990 | − | 0.232119i | ||||
\(148\) | 0.342952 | − | 1.05550i | 0.0281904 | − | 0.0867613i | ||||
\(149\) | −10.2288 | − | 16.9625i | −0.837972 | − | 1.38962i | −0.919558 | − | 0.392954i | \(-0.871453\pi\) |
0.0815862 | − | 0.996666i | \(-0.474001\pi\) | |||||||
\(150\) | 0.0856752 | − | 0.220055i | 0.00699535 | − | 0.0179674i | ||||
\(151\) | −2.46590 | + | 0.573421i | −0.200672 | + | 0.0466643i | −0.325628 | − | 0.945498i | \(-0.605576\pi\) |
0.124956 | + | 0.992162i | \(0.460121\pi\) | |||||||
\(152\) | 4.29040 | + | 1.81314i | 0.347998 | + | 0.147065i | ||||
\(153\) | 15.2058 | + | 9.77219i | 1.22932 | + | 0.790035i | ||||
\(154\) | −1.03240 | + | 10.7934i | −0.0831936 | + | 0.869754i | ||||
\(155\) | 2.39691 | − | 1.54040i | 0.192524 | − | 0.123728i | ||||
\(156\) | 1.44495 | − | 0.250059i | 0.115689 | − | 0.0200207i | ||||
\(157\) | 0.328796 | + | 3.82810i | 0.0262408 | + | 0.305516i | 0.997672 | + | 0.0681947i | \(0.0217239\pi\) |
−0.971431 | + | 0.237321i | \(0.923731\pi\) | |||||||
\(158\) | 0.690910 | − | 8.04412i | 0.0549658 | − | 0.639956i | ||||
\(159\) | −1.29853 | − | 0.224719i | −0.102980 | − | 0.0178214i | ||||
\(160\) | 5.39919 | − | 2.28172i | 0.426844 | − | 0.180386i | ||||
\(161\) | 23.3291 | − | 16.9496i | 1.83859 | − | 1.33581i | ||||
\(162\) | 5.39591 | − | 3.04721i | 0.423943 | − | 0.239412i | ||||
\(163\) | 0.560274 | + | 19.6122i | 0.0438841 | + | 1.53614i | 0.661669 | + | 0.749796i | \(0.269848\pi\) |
−0.617785 | + | 0.786347i | \(0.711970\pi\) | |||||||
\(164\) | 3.81071 | − | 1.11892i | 0.297566 | − | 0.0873734i | ||||
\(165\) | 0.944035 | + | 0.409769i | 0.0734930 | + | 0.0319005i | ||||
\(166\) | 12.0459 | + | 3.53698i | 0.934939 | + | 0.274523i | ||||
\(167\) | −0.386453 | + | 1.47022i | −0.0299046 | + | 0.113769i | −0.980425 | − | 0.196894i | \(-0.936915\pi\) |
0.950520 | + | 0.310663i | \(0.100551\pi\) | |||||||
\(168\) | −0.689133 | + | 3.40100i | −0.0531677 | + | 0.262393i | ||||
\(169\) | 0.903735 | + | 1.71277i | 0.0695181 | + | 0.131751i | ||||
\(170\) | −0.135279 | + | 4.73539i | −0.0103754 | + | 0.363188i | ||||
\(171\) | −1.32071 | − | 5.02449i | −0.100997 | − | 0.384232i | ||||
\(172\) | 4.22183 | − | 0.241413i | 0.321912 | − | 0.0184076i | ||||
\(173\) | 10.5722 | − | 10.8785i | 0.803789 | − | 0.827079i | −0.183992 | − | 0.982928i | \(-0.558902\pi\) |
0.987781 | + | 0.155849i | \(0.0498112\pi\) | |||||||
\(174\) | −2.12688 | + | 1.04572i | −0.161238 | + | 0.0792756i | ||||
\(175\) | −1.78450 | + | 3.90751i | −0.134896 | + | 0.295380i | ||||
\(176\) | 1.00953 | + | 2.66911i | 0.0760963 | + | 0.201192i | ||||
\(177\) | −0.235326 | − | 0.515292i | −0.0176882 | − | 0.0387317i | ||||
\(178\) | −9.34833 | − | 7.64409i | −0.700687 | − | 0.572949i | ||||
\(179\) | 0.438905 | − | 0.831817i | 0.0328053 | − | 0.0621729i | −0.867484 | − | 0.497465i | \(-0.834264\pi\) |
0.900289 | + | 0.435293i | \(0.143355\pi\) | |||||||
\(180\) | −3.59242 | − | 2.02873i | −0.267763 | − | 0.151213i | ||||
\(181\) | 12.0168 | − | 1.37880i | 0.893202 | − | 0.102485i | 0.344777 | − | 0.938685i | \(-0.387955\pi\) |
0.548426 | + | 0.836199i | \(0.315227\pi\) | |||||||
\(182\) | 10.8030 | − | 1.23953i | 0.800769 | − | 0.0918797i | ||||
\(183\) | −3.46513 | − | 1.95685i | −0.256150 | − | 0.144654i | ||||
\(184\) | −8.15546 | + | 15.4563i | −0.601228 | + | 1.13945i | ||||
\(185\) | −0.604685 | − | 0.494449i | −0.0444573 | − | 0.0363526i | ||||
\(186\) | −0.279502 | − | 0.612024i | −0.0204941 | − | 0.0448758i | ||||
\(187\) | −20.5994 | − | 1.37813i | −1.50638 | − | 0.100779i | ||||
\(188\) | −0.674323 | + | 1.47656i | −0.0491800 | + | 0.107689i | ||||
\(189\) | 7.06188 | − | 3.47209i | 0.513676 | − | 0.252557i | ||||
\(190\) | 0.948949 | − | 0.976445i | 0.0688440 | − | 0.0708388i | ||||
\(191\) | −10.0535 | + | 0.574881i | −0.727447 | + | 0.0415969i | −0.416889 | − | 0.908958i | \(-0.636880\pi\) |
−0.310558 | + | 0.950554i | \(0.600516\pi\) | |||||||
\(192\) | −0.216139 | − | 0.822278i | −0.0155985 | − | 0.0593428i | ||||
\(193\) | 0.0639883 | − | 2.23988i | 0.00460598 | − | 0.161230i | −0.994033 | − | 0.109078i | \(-0.965210\pi\) |
0.998639 | − | 0.0521521i | \(-0.0166081\pi\) | |||||||
\(194\) | 2.51699 | + | 4.77022i | 0.180709 | + | 0.342482i | ||||
\(195\) | 0.204964 | − | 1.01154i | 0.0146778 | − | 0.0724378i | ||||
\(196\) | 4.13686 | − | 15.7383i | 0.295490 | − | 1.12416i | ||||
\(197\) | −25.7146 | − | 7.55048i | −1.83209 | − | 0.537949i | −0.832223 | − | 0.554441i | \(-0.812932\pi\) |
−0.999864 | + | 0.0164912i | \(0.994750\pi\) | |||||||
\(198\) | −3.84535 | + | 6.23939i | −0.273277 | + | 0.443414i | ||||
\(199\) | −16.5723 | + | 4.86608i | −1.17478 | + | 0.344947i | −0.810160 | − | 0.586208i | \(-0.800620\pi\) |
−0.364622 | + | 0.931156i | \(0.618802\pi\) | |||||||
\(200\) | −0.0743418 | − | 2.60230i | −0.00525676 | − | 0.184011i | ||||
\(201\) | −0.339771 | + | 0.191878i | −0.0239656 | + | 0.0135340i | ||||
\(202\) | −5.78699 | + | 4.20449i | −0.407171 | + | 0.295827i | ||||
\(203\) | 39.7129 | − | 16.7828i | 2.78730 | − | 1.17792i | ||||
\(204\) | −2.70419 | − | 0.467978i | −0.189331 | − | 0.0327650i | ||||
\(205\) | 0.239205 | − | 2.78501i | 0.0167068 | − | 0.194513i | ||||
\(206\) | −0.136671 | − | 1.59124i | −0.00952234 | − | 0.110867i | ||||
\(207\) | 19.2067 | − | 3.32385i | 1.33496 | − | 0.231023i | ||||
\(208\) | 2.40755 | − | 1.54724i | 0.166934 | − | 0.107282i | ||||
\(209\) | 4.09417 | + | 4.29524i | 0.283200 | + | 0.297108i | ||||
\(210\) | 0.853375 | + | 0.548431i | 0.0588885 | + | 0.0378453i | ||||
\(211\) | −10.5035 | − | 4.43883i | −0.723093 | − | 0.305581i | −0.00351528 | − | 0.999994i | \(-0.501119\pi\) |
−0.719577 | + | 0.694412i | \(0.755664\pi\) | |||||||
\(212\) | −5.87746 | + | 1.36675i | −0.403666 | + | 0.0938685i | ||||
\(213\) | 1.55261 | − | 3.98785i | 0.106383 | − | 0.273243i | ||||
\(214\) | −5.53591 | − | 9.18028i | −0.378427 | − | 0.627551i | ||||
\(215\) | 0.919709 | − | 2.83057i | 0.0627237 | − | 0.193044i | ||||
\(216\) | −2.91223 | + | 3.77665i | −0.198152 | + | 0.256969i | ||||
\(217\) | 4.44054 | + | 11.4054i | 0.301443 | + | 0.774251i | ||||
\(218\) | 7.40242 | + | 10.8257i | 0.501355 | + | 0.733209i | ||||
\(219\) | −0.0172525 | + | 0.119994i | −0.00116582 | + | 0.00810842i | ||||
\(220\) | 4.71213 | + | 0.0456236i | 0.317692 | + | 0.00307594i | ||||
\(221\) | 2.94662 | + | 20.4942i | 0.198211 | + | 1.37859i | ||||
\(222\) | −0.135895 | + | 0.124723i | −0.00912066 | + | 0.00837086i | ||||
\(223\) | 4.05864 | + | 0.232081i | 0.271787 | + | 0.0155413i | 0.192451 | − | 0.981307i | \(-0.438356\pi\) |
0.0793358 | + | 0.996848i | \(0.474720\pi\) | |||||||
\(224\) | 5.00039 | + | 24.6779i | 0.334103 | + | 1.64886i | ||||
\(225\) | −2.24789 | + | 1.83809i | −0.149859 | + | 0.122539i | ||||
\(226\) | 12.5305 | + | 6.16082i | 0.833515 | + | 0.409812i | ||||
\(227\) | −23.8859 | + | 8.52249i | −1.58537 | + | 0.565657i | −0.974169 | − | 0.225821i | \(-0.927493\pi\) |
−0.611197 | + | 0.791479i | \(0.709312\pi\) | |||||||
\(228\) | 0.481673 | + | 0.624644i | 0.0318996 | + | 0.0413681i | ||||
\(229\) | −0.403374 | + | 0.668921i | −0.0266557 | + | 0.0442036i | −0.869392 | − | 0.494124i | \(-0.835489\pi\) |
0.842736 | + | 0.538327i | \(0.180944\pi\) | |||||||
\(230\) | 3.34548 | + | 3.86089i | 0.220595 | + | 0.254580i | ||||
\(231\) | −2.53053 | + | 3.62496i | −0.166497 | + | 0.238505i | ||||
\(232\) | −17.1105 | + | 19.7466i | −1.12336 | + | 1.29643i | ||||
\(233\) | −6.11316 | − | 18.8144i | −0.400486 | − | 1.23257i | −0.924606 | − | 0.380925i | \(-0.875606\pi\) |
0.524120 | − | 0.851645i | \(-0.324394\pi\) | |||||||
\(234\) | 6.92281 | + | 2.47005i | 0.452558 | + | 0.161472i | ||||
\(235\) | 0.796229 | + | 0.819300i | 0.0519402 | + | 0.0534453i | ||||
\(236\) | −1.91104 | − | 1.75394i | −0.124398 | − | 0.114171i | ||||
\(237\) | 1.85809 | − | 2.71736i | 0.120696 | − | 0.176512i | ||||
\(238\) | −19.8213 | − | 4.60924i | −1.28482 | − | 0.298772i | ||||
\(239\) | −14.4801 | − | 10.5204i | −0.936642 | − | 0.680510i | 0.0109683 | − | 0.999940i | \(-0.496509\pi\) |
−0.947610 | + | 0.319430i | \(0.896509\pi\) | |||||||
\(240\) | 0.265240 | + | 0.0304334i | 0.0171212 | + | 0.00196447i | ||||
\(241\) | −7.27753 | −0.468787 | −0.234393 | − | 0.972142i | \(-0.575310\pi\) | ||||
−0.234393 | + | 0.972142i | \(0.575310\pi\) | |||||||
\(242\) | 0.401033 | − | 8.36176i | 0.0257794 | − | 0.537514i | ||||
\(243\) | 8.02233 | 0.514633 | ||||||||
\(244\) | −18.1032 | − | 2.07715i | −1.15894 | − | 0.132976i | ||||
\(245\) | −9.26574 | − | 6.73196i | −0.591967 | − | 0.430089i | ||||
\(246\) | −0.642933 | − | 0.149508i | −0.0409919 | − | 0.00953225i | ||||
\(247\) | 3.35900 | − | 4.91238i | 0.213728 | − | 0.312567i | ||||
\(248\) | −5.46480 | − | 5.01555i | −0.347015 | − | 0.318488i | ||||
\(249\) | 3.56747 | + | 3.67084i | 0.226079 | + | 0.232630i | ||||
\(250\) | −0.716775 | − | 0.255745i | −0.0453328 | − | 0.0161747i | ||||
\(251\) | 8.27647 | + | 25.4723i | 0.522406 | + | 1.60780i | 0.769389 | + | 0.638781i | \(0.220561\pi\) |
−0.246983 | + | 0.969020i | \(0.579439\pi\) | |||||||
\(252\) | 11.6059 | − | 13.3939i | 0.731104 | − | 0.843739i | ||||
\(253\) | −17.3711 | + | 13.9258i | −1.09211 | + | 0.875510i | ||||
\(254\) | 6.86625 | + | 7.92408i | 0.430827 | + | 0.497201i | ||||
\(255\) | −0.997442 | + | 1.65407i | −0.0624622 | + | 0.103582i | ||||
\(256\) | −7.82528 | − | 10.1480i | −0.489080 | − | 0.634250i | ||||
\(257\) | 4.45969 | − | 1.59121i | 0.278188 | − | 0.0992571i | −0.193271 | − | 0.981145i | \(-0.561910\pi\) |
0.471458 | + | 0.881888i | \(0.343728\pi\) | |||||||
\(258\) | −0.630714 | − | 0.310101i | −0.0392665 | − | 0.0193060i | ||||
\(259\) | 2.59755 | − | 2.12401i | 0.161404 | − | 0.131979i | ||||
\(260\) | −0.938522 | − | 4.63179i | −0.0582047 | − | 0.287251i | ||||
\(261\) | 29.0954 | + | 1.66374i | 1.80096 | + | 0.102983i | ||||
\(262\) | 4.83521 | − | 4.43772i | 0.298720 | − | 0.274163i | ||||
\(263\) | 0.224156 | + | 1.55904i | 0.0138221 | + | 0.0961346i | 0.995565 | − | 0.0940797i | \(-0.0299908\pi\) |
−0.981743 | + | 0.190214i | \(0.939082\pi\) | |||||||
\(264\) | 0.406948 | − | 2.64812i | 0.0250459 | − | 0.162981i | ||||
\(265\) | −0.604414 | + | 4.20379i | −0.0371288 | + | 0.258237i | ||||
\(266\) | 3.30144 | + | 4.82820i | 0.202424 | + | 0.296036i | ||||
\(267\) | −1.78633 | − | 4.58814i | −0.109321 | − | 0.280790i | ||||
\(268\) | −1.09107 | + | 1.41492i | −0.0666477 | + | 0.0864303i | ||||
\(269\) | −3.29469 | + | 10.1400i | −0.200881 | + | 0.618248i | 0.798977 | + | 0.601362i | \(0.205375\pi\) |
−0.999857 | + | 0.0168856i | \(0.994625\pi\) | |||||||
\(270\) | 0.719927 | + | 1.19386i | 0.0438133 | + | 0.0726563i | ||||
\(271\) | 5.07400 | − | 13.0325i | 0.308224 | − | 0.791666i | −0.689504 | − | 0.724282i | \(-0.742171\pi\) |
0.997727 | − | 0.0673835i | \(-0.0214651\pi\) | |||||||
\(272\) | −5.21671 | + | 1.21309i | −0.316310 | + | 0.0735547i | ||||
\(273\) | 4.08387 | + | 1.72586i | 0.247167 | + | 0.104454i | ||||
\(274\) | 2.39136 | + | 1.53684i | 0.144467 | + | 0.0928436i | ||||
\(275\) | 1.23316 | − | 3.07885i | 0.0743625 | − | 0.185662i | ||||
\(276\) | −2.48971 | + | 1.60004i | −0.149863 | + | 0.0963111i | ||||
\(277\) | 14.8602 | − | 2.57166i | 0.892863 | − | 0.154516i | 0.294415 | − | 0.955678i | \(-0.404875\pi\) |
0.598448 | + | 0.801162i | \(0.295784\pi\) | |||||||
\(278\) | −0.144773 | − | 1.68556i | −0.00868288 | − | 0.101093i | ||||
\(279\) | −0.707987 | + | 8.24295i | −0.0423861 | + | 0.493492i | ||||
\(280\) | 11.0195 | + | 1.90700i | 0.658541 | + | 0.113965i | ||||
\(281\) | −6.77689 | + | 2.86394i | −0.404276 | + | 0.170848i | −0.581919 | − | 0.813247i | \(-0.697698\pi\) |
0.177644 | + | 0.984095i | \(0.443153\pi\) | |||||||
\(282\) | 0.218263 | − | 0.158577i | 0.0129974 | − | 0.00944315i | ||||
\(283\) | −22.4299 | + | 12.6668i | −1.33332 | + | 0.752960i | −0.982989 | − | 0.183666i | \(-0.941204\pi\) |
−0.350331 | + | 0.936626i | \(0.613931\pi\) | |||||||
\(284\) | −0.559565 | − | 19.5873i | −0.0332041 | − | 1.16229i | ||||
\(285\) | 0.532674 | − | 0.156407i | 0.0315529 | − | 0.00926476i | ||||
\(286\) | −8.28598 | + | 1.35146i | −0.489960 | + | 0.0799132i | ||||
\(287\) | 11.5212 | + | 3.38294i | 0.680077 | + | 0.199689i | ||||
\(288\) | −4.32685 | + | 16.4611i | −0.254962 | + | 0.969977i | ||||
\(289\) | 4.31909 | − | 21.3155i | 0.254064 | − | 1.25386i | ||||
\(290\) | 3.56443 | + | 6.75535i | 0.209311 | + | 0.396688i | ||||
\(291\) | −0.0627976 | + | 2.19820i | −0.00368126 | + | 0.128861i | ||||
\(292\) | 0.141116 | + | 0.536860i | 0.00825817 | + | 0.0314173i | ||||
\(293\) | −6.64459 | + | 0.379951i | −0.388181 | + | 0.0221970i | −0.250090 | − | 0.968223i | \(-0.580460\pi\) |
−0.138091 | + | 0.990420i | \(0.544097\pi\) | |||||||
\(294\) | −1.88493 | + | 1.93955i | −0.109931 | + | 0.113117i | ||||
\(295\) | −1.63832 | + | 0.805507i | −0.0953866 | + | 0.0468984i | ||||
\(296\) | −0.844746 | + | 1.84974i | −0.0490999 | + | 0.107514i | ||||
\(297\) | −5.31907 | + | 2.93626i | −0.308644 | + | 0.170379i | ||||
\(298\) | 6.26217 | + | 13.7122i | 0.362758 | + | 0.794328i | ||||
\(299\) | 17.2851 | + | 14.1339i | 0.999622 | + | 0.817387i | ||||
\(300\) | 0.205742 | − | 0.389925i | 0.0118785 | − | 0.0225123i | ||||
\(301\) | 11.1325 | + | 6.28684i | 0.641669 | + | 0.362367i | ||||
\(302\) | 1.91415 | − | 0.219628i | 0.110147 | − | 0.0126382i | ||||
\(303\) | −2.89751 | + | 0.332459i | −0.166458 | + | 0.0190993i | ||||
\(304\) | 1.34042 | + | 0.756969i | 0.0768783 | + | 0.0434152i | ||||
\(305\) | −5.98495 | + | 11.3427i | −0.342697 | + | 0.649484i | ||||
\(306\) | −10.6490 | − | 8.70761i | −0.608761 | − | 0.497781i | ||||
\(307\) | 8.59544 | + | 18.8214i | 0.490568 | + | 1.07419i | 0.979421 | + | 0.201828i | \(0.0646881\pi\) |
−0.488853 | + | 0.872366i | \(0.662585\pi\) | |||||||
\(308\) | −4.21194 | + | 19.7998i | −0.239997 | + | 1.12820i | ||||
\(309\) | 0.270510 | − | 0.592335i | 0.0153888 | − | 0.0336967i | ||||
\(310\) | −1.94587 | + | 0.956719i | −0.110518 | + | 0.0543380i | ||||
\(311\) | −20.0056 | + | 20.5852i | −1.13441 | + | 1.16728i | −0.150503 | + | 0.988610i | \(0.548089\pi\) |
−0.983909 | + | 0.178672i | \(0.942820\pi\) | |||||||
\(312\) | −2.68254 | + | 0.153393i | −0.151869 | + | 0.00868417i | ||||
\(313\) | 7.39209 | + | 28.1224i | 0.417825 | + | 1.58957i | 0.759991 | + | 0.649933i | \(0.225203\pi\) |
−0.342166 | + | 0.939640i | \(0.611160\pi\) | |||||||
\(314\) | 0.0834991 | − | 2.92285i | 0.00471212 | − | 0.164946i | ||||
\(315\) | −5.82098 | − | 11.0320i | −0.327975 | − | 0.621582i | ||||
\(316\) | 2.99344 | − | 14.7732i | 0.168394 | − | 0.831058i | ||||
\(317\) | −0.138393 | + | 0.526501i | −0.00777291 | + | 0.0295712i | −0.970920 | − | 0.239403i | \(-0.923048\pi\) |
0.963147 | + | 0.268974i | \(0.0866847\pi\) | |||||||
\(318\) | 0.962287 | + | 0.282553i | 0.0539624 | + | 0.0158448i | ||||
\(319\) | −30.0126 | + | 14.3971i | −1.68038 | + | 0.806081i | ||||
\(320\) | −2.62902 | + | 0.771949i | −0.146967 | + | 0.0431533i | ||||
\(321\) | −0.124817 | − | 4.36917i | −0.00696661 | − | 0.243863i | ||||
\(322\) | −19.1089 | + | 10.7913i | −1.06490 | + | 0.601376i | ||||
\(323\) | −9.01013 | + | 6.54625i | −0.501337 | + | 0.364243i | ||||
\(324\) | 10.6569 | − | 4.50362i | 0.592047 | − | 0.250201i | ||||
\(325\) | −3.27746 | − | 0.567186i | −0.181801 | − | 0.0314618i | ||||
\(326\) | 1.27777 | − | 14.8768i | 0.0707693 | − | 0.823952i | ||||
\(327\) | 0.457585 | + | 5.32756i | 0.0253045 | + | 0.294615i | ||||
\(328\) | −7.17051 | + | 1.24090i | −0.395925 | + | 0.0685175i | ||||
\(329\) | −4.12863 | + | 2.65331i | −0.227619 | + | 0.146282i | ||||
\(330\) | −0.678211 | − | 0.391712i | −0.0373343 | − | 0.0215630i | ||||
\(331\) | 8.02987 | + | 5.16048i | 0.441362 | + | 0.283646i | 0.742388 | − | 0.669970i | \(-0.233693\pi\) |
−0.301027 | + | 0.953616i | \(0.597329\pi\) | |||||||
\(332\) | 21.5899 | + | 9.12398i | 1.18490 | + | 0.500743i | ||||
\(333\) | 2.20916 | − | 0.513719i | 0.121061 | − | 0.0281516i | ||||
\(334\) | 0.419730 | − | 1.07807i | 0.0229666 | − | 0.0589892i | ||||
\(335\) | 0.649388 | + | 1.07689i | 0.0354799 | + | 0.0588367i | ||||
\(336\) | −0.354402 | + | 1.09074i | −0.0193342 | + | 0.0595045i | ||||
\(337\) | 1.59186 | − | 2.06436i | 0.0867140 | − | 0.112453i | −0.746547 | − | 0.665333i | \(-0.768290\pi\) |
0.833261 | + | 0.552880i | \(0.186471\pi\) | |||||||
\(338\) | −0.534705 | − | 1.37338i | −0.0290841 | − | 0.0747019i | ||||
\(339\) | 3.21346 | + | 4.69954i | 0.174531 | + | 0.255244i | ||||
\(340\) | −1.25869 | + | 8.75441i | −0.0682623 | + | 0.474775i | ||||
\(341\) | −3.84217 | − | 8.63340i | −0.208065 | − | 0.467525i | ||||
\(342\) | 0.562669 | + | 3.91345i | 0.0304257 | + | 0.211615i | ||||
\(343\) | 14.0932 | − | 12.9347i | 0.760963 | − | 0.698406i | ||||
\(344\) | −7.73561 | − | 0.442338i | −0.417076 | − | 0.0238493i | ||||
\(345\) | 0.413656 | + | 2.04147i | 0.0222705 | + | 0.109909i | ||||
\(346\) | −8.93707 | + | 7.30781i | −0.480460 | + | 0.392870i | ||||
\(347\) | 8.72910 | + | 4.29181i | 0.468603 | + | 0.230396i | 0.660219 | − | 0.751074i | \(-0.270464\pi\) |
−0.191616 | + | 0.981470i | \(0.561373\pi\) | |||||||
\(348\) | −4.16749 | + | 1.48696i | −0.223401 | + | 0.0797093i | ||||
\(349\) | 15.9595 | + | 20.6967i | 0.854293 | + | 1.10787i | 0.993068 | + | 0.117543i | \(0.0375019\pi\) |
−0.138774 | + | 0.990324i | \(0.544316\pi\) | |||||||
\(350\) | 1.68819 | − | 2.79956i | 0.0902378 | − | 0.149643i | ||||
\(351\) | 3.99020 | + | 4.60493i | 0.212981 | + | 0.245793i | ||||
\(352\) | −4.75986 | − | 18.8488i | −0.253702 | − | 1.00464i | ||||
\(353\) | −8.73749 | + | 10.0836i | −0.465050 | + | 0.536696i | −0.939028 | − | 0.343840i | \(-0.888272\pi\) |
0.473978 | + | 0.880537i | \(0.342818\pi\) | |||||||
\(354\) | 0.133221 | + | 0.410013i | 0.00708064 | + | 0.0217920i | ||||
\(355\) | −12.9894 | − | 4.63462i | −0.689408 | − | 0.245980i | ||||
\(356\) | −15.7125 | − | 16.1678i | −0.832760 | − | 0.856890i | ||||
\(357\) | −6.11298 | − | 5.61044i | −0.323533 | − | 0.296936i | ||||
\(358\) | −0.404005 | + | 0.590839i | −0.0213523 | + | 0.0312268i | ||||
\(359\) | 3.04862 | + | 0.708927i | 0.160900 | + | 0.0374157i | 0.306173 | − | 0.951976i | \(-0.400951\pi\) |
−0.145273 | + | 0.989392i | \(0.546406\pi\) | |||||||
\(360\) | 6.11571 | + | 4.44332i | 0.322326 | + | 0.234184i | ||||
\(361\) | −15.6960 | − | 1.80095i | −0.826105 | − | 0.0947867i | ||||
\(362\) | −9.20520 | −0.483814 | ||||||||
\(363\) | 1.81886 | − | 2.88825i | 0.0954652 | − | 0.151594i | ||||
\(364\) | 20.3012 | 1.06407 | ||||||||
\(365\) | 0.388139 | + | 0.0445347i | 0.0203161 | + | 0.00233106i | ||||
\(366\) | 2.45013 | + | 1.78013i | 0.128071 | + | 0.0930487i | ||||
\(367\) | 34.2326 | + | 7.96045i | 1.78693 | + | 0.415532i | 0.983653 | − | 0.180076i | \(-0.0576345\pi\) |
0.803275 | + | 0.595608i | \(0.203089\pi\) | |||||||
\(368\) | −3.26010 | + | 4.76774i | −0.169944 | + | 0.248535i | ||||
\(369\) | 5.97987 | + | 5.48827i | 0.311300 | + | 0.285708i | ||||
\(370\) | 0.414292 | + | 0.426297i | 0.0215380 | + | 0.0221621i | ||||
\(371\) | −17.1830 | − | 6.13087i | −0.892095 | − | 0.318299i | ||||
\(372\) | −0.388171 | − | 1.19467i | −0.0201257 | − | 0.0619406i | ||||
\(373\) | 14.9985 | − | 17.3092i | 0.776594 | − | 0.896238i | −0.220264 | − | 0.975440i | \(-0.570692\pi\) |
0.996859 | + | 0.0792027i | \(0.0252374\pi\) | |||||||
\(374\) | 15.4551 | + | 2.82899i | 0.799165 | + | 0.146284i | ||||
\(375\) | −0.203200 | − | 0.234505i | −0.0104932 | − | 0.0121098i | ||||
\(376\) | 1.53590 | − | 2.54701i | 0.0792081 | − | 0.131352i | ||||
\(377\) | 20.3852 | + | 26.4360i | 1.04989 | + | 1.36152i | ||||
\(378\) | −5.64050 | + | 2.01253i | −0.290116 | + | 0.103513i | ||||
\(379\) | 10.5536 | + | 5.18887i | 0.542103 | + | 0.266534i | 0.691665 | − | 0.722218i | \(-0.256877\pi\) |
−0.149562 | + | 0.988752i | \(0.547786\pi\) | |||||||
\(380\) | 1.96792 | − | 1.60916i | 0.100952 | − | 0.0825481i | ||||
\(381\) | 0.848985 | + | 4.18991i | 0.0434948 | + | 0.214655i | ||||
\(382\) | 7.65106 | + | 0.437504i | 0.391462 | + | 0.0223846i | ||||
\(383\) | 19.5265 | − | 17.9212i | 0.997756 | − | 0.915732i | 0.00131247 | − | 0.999999i | \(-0.499582\pi\) |
0.996443 | + | 0.0842673i | \(0.0268550\pi\) | |||||||
\(384\) | −0.425602 | − | 2.96013i | −0.0217189 | − | 0.151058i | ||||
\(385\) | 11.9104 | + | 7.81832i | 0.607011 | + | 0.398459i | ||||
\(386\) | −0.242693 | + | 1.68796i | −0.0123527 | + | 0.0859151i | ||||
\(387\) | 4.87801 | + | 7.13386i | 0.247963 | + | 0.362635i | ||||
\(388\) | 3.65332 | + | 9.38348i | 0.185469 | + | 0.476374i | ||||
\(389\) | 4.21813 | − | 5.47016i | 0.213867 | − | 0.277348i | −0.672732 | − | 0.739886i | \(-0.734879\pi\) |
0.886599 | + | 0.462538i | \(0.153061\pi\) | |||||||
\(390\) | −0.242720 | + | 0.747016i | −0.0122906 | + | 0.0378266i | ||||
\(391\) | −21.5784 | − | 35.7837i | −1.09127 | − | 1.80966i | ||||
\(392\) | −10.8177 | + | 27.7850i | −0.546375 | + | 1.40335i | ||||
\(393\) | 2.60637 | − | 0.606085i | 0.131474 | − | 0.0305729i | ||||
\(394\) | 18.7871 | + | 7.93949i | 0.946479 | + | 0.399986i | ||||
\(395\) | −8.92478 | − | 5.73561i | −0.449054 | − | 0.288590i | ||||
\(396\) | −8.46022 | + | 10.7545i | −0.425142 | + | 0.540432i | ||||
\(397\) | 2.70002 | − | 1.73520i | 0.135510 | − | 0.0870871i | −0.471129 | − | 0.882064i | \(-0.656154\pi\) |
0.606640 | + | 0.794977i | \(0.292517\pi\) | |||||||
\(398\) | 12.9520 | − | 2.24144i | 0.649227 | − | 0.112353i | ||||
\(399\) | 0.204080 | + | 2.37606i | 0.0102168 | + | 0.118952i | ||||
\(400\) | 0.0736293 | − | 0.857251i | 0.00368147 | − | 0.0428625i | ||||
\(401\) | −6.03990 | − | 1.04525i | −0.301618 | − | 0.0521971i | 0.0177040 | − | 0.999843i | \(-0.494364\pi\) |
−0.319322 | + | 0.947646i | \(0.603455\pi\) | |||||||
\(402\) | 0.273537 | − | 0.115598i | 0.0136428 | − | 0.00576550i | ||||
\(403\) | −7.66702 | + | 5.57042i | −0.381922 | + | 0.277482i | ||||
\(404\) | −11.6285 | + | 6.56692i | −0.578540 | + | 0.326716i | ||||
\(405\) | −0.232524 | − | 8.13940i | −0.0115542 | − | 0.404450i | ||||
\(406\) | −31.4818 | + | 9.24389i | −1.56241 | + | 0.458766i | ||||
\(407\) | −1.92549 | + | 1.73316i | −0.0954432 | + | 0.0859094i | ||||
\(408\) | 4.82481 | + | 1.41669i | 0.238864 | + | 0.0701367i | ||||
\(409\) | 4.91135 | − | 18.6847i | 0.242851 | − | 0.923900i | −0.728266 | − | 0.685295i | \(-0.759673\pi\) |
0.971117 | − | 0.238606i | \(-0.0766903\pi\) | |||||||
\(410\) | −0.422459 | + | 2.08492i | −0.0208638 | + | 0.102967i | ||||
\(411\) | 0.540875 | + | 1.02507i | 0.0266794 | + | 0.0505631i | ||||
\(412\) | 0.0851464 | − | 2.98051i | 0.00419486 | − | 0.146839i | ||||
\(413\) | −1.99368 | − | 7.58473i | −0.0981024 | − | 0.373220i | ||||
\(414\) | −14.8100 | + | 0.846867i | −0.727872 | + | 0.0416212i | ||||
\(415\) | 11.4970 | − | 11.8302i | 0.564367 | − | 0.580720i | ||||
\(416\) | −17.4961 | + | 8.60225i | −0.857816 | + | 0.421760i | ||||
\(417\) | 0.286545 | − | 0.627446i | 0.0140322 | − | 0.0307262i | ||||
\(418\) | −2.72288 | − | 3.60269i | −0.133180 | − | 0.176213i | ||||
\(419\) | −12.8744 | − | 28.1910i | −0.628956 | − | 1.37722i | −0.908823 | − | 0.417182i | \(-0.863018\pi\) |
0.279867 | − | 0.960039i | \(-0.409710\pi\) | |||||||
\(420\) | 1.46613 | + | 1.19885i | 0.0715396 | + | 0.0584976i | ||||
\(421\) | 11.5793 | − | 21.9453i | 0.564342 | − | 1.06955i | −0.422271 | − | 0.906470i | \(-0.638767\pi\) |
0.986613 | − | 0.163078i | \(-0.0521421\pi\) | |||||||
\(422\) | 7.55636 | + | 4.26727i | 0.367838 | + | 0.207728i | ||||
\(423\) | −3.29578 | + | 0.378156i | −0.160246 | + | 0.0183866i | ||||
\(424\) | 10.9845 | − | 1.26035i | 0.533453 | − | 0.0612080i | ||||
\(425\) | 5.42026 | + | 3.06096i | 0.262921 | + | 0.148478i | ||||
\(426\) | −1.51984 | + | 2.88041i | −0.0736364 | + | 0.139556i | ||||
\(427\) | −42.6489 | − | 34.8739i | −2.06393 | − | 1.68766i | ||||
\(428\) | −8.31428 | − | 18.2057i | −0.401886 | − | 0.880007i | ||||
\(429\) | −3.21271 | − | 1.18148i | −0.155111 | − | 0.0570424i | ||||
\(430\) | −0.940924 | + | 2.06034i | −0.0453754 | + | 0.0993582i | ||||
\(431\) | 0.994643 | − | 0.489033i | 0.0479103 | − | 0.0235559i | −0.417109 | − | 0.908857i | \(-0.636957\pi\) |
0.465019 | + | 0.885301i | \(0.346047\pi\) | |||||||
\(432\) | −1.09850 | + | 1.13033i | −0.0528514 | + | 0.0543828i | ||||
\(433\) | −1.60550 | + | 0.0918057i | −0.0771553 | + | 0.00441190i | −0.0956238 | − | 0.995418i | \(-0.530485\pi\) |
0.0184685 | + | 0.999829i | \(0.494121\pi\) | |||||||
\(434\) | −2.36793 | − | 9.00855i | −0.113664 | − | 0.432424i | ||||
\(435\) | −0.0889308 | + | 3.11298i | −0.00426391 | + | 0.149256i | ||||
\(436\) | 11.4261 | + | 21.6549i | 0.547211 | + | 1.03708i | ||||
\(437\) | −2.38511 | + | 11.7710i | −0.114096 | + | 0.563084i | ||||
\(438\) | 0.0234538 | − | 0.0892273i | 0.00112066 | − | 0.00426345i | ||||
\(439\) | −27.2155 | − | 7.99120i | −1.29893 | − | 0.381399i | −0.442082 | − | 0.896975i | \(-0.645760\pi\) |
−0.856844 | + | 0.515576i | \(0.827578\pi\) | |||||||
\(440\) | −8.56817 | − | 1.06725i | −0.408472 | − | 0.0508792i | ||||
\(441\) | 31.9094 | − | 9.36945i | 1.51950 | − | 0.446164i | ||||
\(442\) | −0.449962 | − | 15.7507i | −0.0214025 | − | 0.749185i | ||||
\(443\) | 9.21229 | − | 5.20242i | 0.437689 | − | 0.247174i | −0.257104 | − | 0.966384i | \(-0.582768\pi\) |
0.694794 | + | 0.719209i | \(0.255496\pi\) | |||||||
\(444\) | −0.278601 | + | 0.202416i | −0.0132218 | + | 0.00960622i | ||||
\(445\) | −14.6160 | + | 6.17676i | −0.692863 | + | 0.292806i | ||||
\(446\) | −3.04849 | − | 0.527563i | −0.144350 | − | 0.0249808i | ||||
\(447\) | −0.525969 | + | 6.12375i | −0.0248775 | + | 0.289643i | ||||
\(448\) | −1.00724 | − | 11.7271i | −0.0475876 | − | 0.554053i | ||||
\(449\) | 11.6568 | − | 2.01730i | 0.550121 | − | 0.0952021i | 0.111317 | − | 0.993785i | \(-0.464493\pi\) |
0.438804 | + | 0.898583i | \(0.355402\pi\) | |||||||
\(450\) | 1.85902 | − | 1.19472i | 0.0876352 | − | 0.0563198i | ||||
\(451\) | −9.00915 | − | 2.18714i | −0.424224 | − | 0.102988i | ||||
\(452\) | 21.9304 | + | 14.0938i | 1.03152 | + | 0.662918i | ||||
\(453\) | 0.723610 | + | 0.305800i | 0.0339982 | + | 0.0143677i | ||||
\(454\) | 18.7989 | − | 4.37149i | 0.882274 | − | 0.205164i | ||||
\(455\) | 5.18389 | − | 13.3147i | 0.243025 | − | 0.624204i | ||||
\(456\) | −0.746344 | − | 1.23767i | −0.0349508 | − | 0.0579593i | ||||
\(457\) | −4.01846 | + | 12.3676i | −0.187976 | + | 0.578530i | −0.999987 | − | 0.00511207i | \(-0.998373\pi\) |
0.812011 | + | 0.583642i | \(0.198373\pi\) | |||||||
\(458\) | 0.363010 | − | 0.470760i | 0.0169624 | − | 0.0219972i | ||||
\(459\) | −4.13719 | − | 10.6263i | −0.193108 | − | 0.495993i | ||||
\(460\) | 5.38354 | + | 7.87317i | 0.251009 | + | 0.367089i | ||||
\(461\) | 3.50113 | − | 24.3509i | 0.163064 | − | 1.13413i | −0.729752 | − | 0.683712i | \(-0.760364\pi\) |
0.892816 | − | 0.450422i | \(-0.148726\pi\) | |||||||
\(462\) | 2.22774 | − | 2.52121i | 0.103644 | − | 0.117297i | ||||
\(463\) | −2.49613 | − | 17.3610i | −0.116005 | − | 0.806832i | −0.961884 | − | 0.273458i | \(-0.911833\pi\) |
0.845879 | − | 0.533375i | \(-0.179076\pi\) | |||||||
\(464\) | −6.36206 | + | 5.83905i | −0.295351 | + | 0.271071i | ||||
\(465\) | −0.882654 | − | 0.0504720i | −0.0409321 | − | 0.00234058i | ||||
\(466\) | 2.98982 | + | 14.7554i | 0.138501 | + | 0.683529i | ||||
\(467\) | 0.809534 | − | 0.661953i | 0.0374608 | − | 0.0306315i | −0.614097 | − | 0.789231i | \(-0.710480\pi\) |
0.651558 | + | 0.758599i | \(0.274116\pi\) | |||||||
\(468\) | 12.3148 | + | 6.05476i | 0.569250 | + | 0.279881i | ||||
\(469\) | −5.08784 | + | 1.81534i | −0.234935 | + | 0.0838246i | ||||
\(470\) | −0.530932 | − | 0.688525i | −0.0244901 | − | 0.0317593i | ||||
\(471\) | 0.615657 | − | 1.02095i | 0.0283680 | − | 0.0470430i | ||||
\(472\) | 3.11241 | + | 3.59191i | 0.143260 | + | 0.165331i | ||||
\(473\) | −8.81571 | − | 4.44089i | −0.405347 | − | 0.204192i | ||||
\(474\) | −1.64058 | + | 1.89333i | −0.0753545 | + | 0.0869637i | ||||
\(475\) | −0.552875 | − | 1.70158i | −0.0253677 | − | 0.0780736i | ||||
\(476\) | −35.7836 | − | 12.7676i | −1.64014 | − | 0.585200i | ||||
\(477\) | −8.59473 | − | 8.84377i | −0.393526 | − | 0.404928i | ||||
\(478\) | 10.0354 | + | 9.21038i | 0.459007 | + | 0.421273i | ||||
\(479\) | 5.16020 | − | 7.54655i | 0.235776 | − | 0.344811i | −0.689379 | − | 0.724401i | \(-0.742117\pi\) |
0.925155 | + | 0.379590i | \(0.123935\pi\) | |||||||
\(480\) | −1.77154 | − | 0.411953i | −0.0808592 | − | 0.0188030i | ||||
\(481\) | 2.10190 | + | 1.52712i | 0.0958383 | + | 0.0696306i | ||||
\(482\) | 5.50234 | + | 0.631335i | 0.250625 | + | 0.0287565i | ||||
\(483\) | −8.94778 | −0.407138 | ||||||||
\(484\) | 2.52337 | − | 15.4241i | 0.114699 | − | 0.701093i | ||||
\(485\) | 7.08712 | 0.321810 | ||||||||
\(486\) | −6.06547 | − | 0.695947i | −0.275135 | − | 0.0315688i | ||||
\(487\) | 20.2839 | + | 14.7371i | 0.919153 | + | 0.667804i | 0.943313 | − | 0.331905i | \(-0.107691\pi\) |
−0.0241602 | + | 0.999708i | \(0.507691\pi\) | |||||||
\(488\) | 32.5202 | + | 7.56224i | 1.47212 | + | 0.342326i | ||||
\(489\) | 3.43635 | − | 5.02551i | 0.155397 | − | 0.227261i | ||||
\(490\) | 6.42157 | + | 5.89367i | 0.290097 | + | 0.266249i | ||||
\(491\) | −18.4751 | − | 19.0105i | −0.833771 | − | 0.857930i | 0.157803 | − | 0.987471i | \(-0.449559\pi\) |
−0.991574 | + | 0.129540i | \(0.958650\pi\) | |||||||
\(492\) | −1.16069 | − | 0.414135i | −0.0523281 | − | 0.0186706i | ||||
\(493\) | −19.3059 | − | 59.4175i | −0.869494 | − | 2.67603i | ||||
\(494\) | −2.96580 | + | 3.42272i | −0.133438 | + | 0.153996i | ||||
\(495\) | 4.89311 | + | 8.29487i | 0.219929 | + | 0.372826i | ||||
\(496\) | −1.60538 | − | 1.85270i | −0.0720836 | − | 0.0831889i | ||||
\(497\) | 30.5935 | − | 50.7337i | 1.37231 | − | 2.27572i | ||||
\(498\) | −2.37882 | − | 3.08491i | −0.106597 | − | 0.138238i | ||||
\(499\) | −17.9901 | + | 6.41885i | −0.805347 | + | 0.287347i | −0.706461 | − | 0.707752i | \(-0.749710\pi\) |
−0.0988854 | + | 0.995099i | \(0.531528\pi\) | |||||||
\(500\) | −1.27505 | − | 0.626899i | −0.0570219 | − | 0.0280358i | ||||
\(501\) | 0.365161 | − | 0.298591i | 0.0163142 | − | 0.0133401i | ||||
\(502\) | −4.04785 | − | 19.9769i | −0.180665 | − | 0.891615i | ||||
\(503\) | 6.96236 | + | 0.398122i | 0.310436 | + | 0.0177514i | 0.211613 | − | 0.977354i | \(-0.432128\pi\) |
0.0988236 | + | 0.995105i | \(0.468492\pi\) | |||||||
\(504\) | −23.9243 | + | 21.9575i | −1.06567 | + | 0.978065i | ||||
\(505\) | 1.33765 | + | 9.30353i | 0.0595245 | + | 0.414002i | ||||
\(506\) | 14.3419 | − | 9.02198i | 0.637575 | − | 0.401076i | ||||
\(507\) | 0.0855183 | − | 0.594793i | 0.00379800 | − | 0.0264157i | ||||
\(508\) | 11.0491 | + | 16.1589i | 0.490226 | + | 0.716933i | ||||
\(509\) | −7.68981 | − | 19.7511i | −0.340845 | − | 0.875452i | −0.993080 | − | 0.117436i | \(-0.962532\pi\) |
0.652236 | − | 0.758016i | \(-0.273831\pi\) | |||||||
\(510\) | 0.897632 | − | 1.16407i | 0.0397478 | − | 0.0515459i | ||||
\(511\) | −0.518613 | + | 1.59613i | −0.0229421 | + | 0.0706085i | ||||
\(512\) | −4.91776 | − | 8.15519i | −0.217336 | − | 0.360412i | ||||
\(513\) | −1.18911 | + | 3.05420i | −0.0525005 | + | 0.134846i | ||||
\(514\) | −3.50989 | + | 0.816189i | −0.154814 | + | 0.0360006i | ||||
\(515\) | −1.93306 | − | 0.816917i | −0.0851807 | − | 0.0359976i | ||||
\(516\) | −1.10385 | − | 0.709404i | −0.0485944 | − | 0.0312298i | ||||
\(517\) | 3.08690 | − | 2.19742i | 0.135762 | − | 0.0966422i | ||||
\(518\) | −2.14820 | + | 1.38056i | −0.0943864 | + | 0.0606584i | ||||
\(519\) | −4.63808 | + | 0.802651i | −0.203589 | + | 0.0352325i | ||||
\(520\) | 0.741015 | + | 8.62748i | 0.0324956 | + | 0.378340i | ||||
\(521\) | −2.47662 | + | 28.8348i | −0.108503 | + | 1.26327i | 0.716276 | + | 0.697817i | \(0.245845\pi\) |
−0.824778 | + | 0.565456i | \(0.808700\pi\) | |||||||
\(522\) | −21.8539 | − | 3.78197i | −0.956520 | − | 0.165532i | ||||
\(523\) | −18.5301 | + | 7.83088i | −0.810265 | + | 0.342421i | −0.754730 | − | 0.656036i | \(-0.772232\pi\) |
−0.0555350 | + | 0.998457i | \(0.517686\pi\) | |||||||
\(524\) | 9.91279 | − | 7.20206i | 0.433042 | − | 0.314623i | ||||
\(525\) | 1.16065 | − | 0.655449i | 0.0506549 | − | 0.0286061i | ||||
\(526\) | −0.0342297 | − | 1.19819i | −0.00149248 | − | 0.0522438i | ||||
\(527\) | 17.0175 | − | 4.99678i | 0.741292 | − | 0.217663i | ||||
\(528\) | 0.233384 | − | 0.854163i | 0.0101567 | − | 0.0371727i | ||||
\(529\) | −21.1685 | − | 6.21563i | −0.920369 | − | 0.270245i | ||||
\(530\) | 0.821665 | − | 3.12594i | 0.0356909 | − | 0.135782i | ||||
\(531\) | 1.05275 | − | 5.19553i | 0.0456855 | − | 0.225467i | ||||
\(532\) | 5.09599 | + | 9.65797i | 0.220939 | + | 0.418726i | ||||
\(533\) | −0.265501 | + | 9.29373i | −0.0115001 | + | 0.402556i | ||||
\(534\) | 0.952566 | + | 3.62394i | 0.0412216 | + | 0.156823i | ||||
\(535\) | −14.0635 | + | 0.804178i | −0.608016 | + | 0.0347676i | ||||
\(536\) | 2.28165 | − | 2.34776i | 0.0985523 | − | 0.101408i | ||||
\(537\) | −0.261892 | + | 0.128764i | −0.0113015 | + | 0.00555657i | ||||
\(538\) | 3.37069 | − | 7.38078i | 0.145321 | − | 0.318208i | ||||
\(539\) | −26.7361 | + | 26.9831i | −1.15160 | + | 1.16224i | ||||
\(540\) | 1.08124 | + | 2.36760i | 0.0465294 | + | 0.101885i | ||||
\(541\) | 9.07760 | + | 7.42271i | 0.390276 | + | 0.319127i | 0.807710 | − | 0.589580i | \(-0.200707\pi\) |
−0.417434 | + | 0.908707i | \(0.637070\pi\) | |||||||
\(542\) | −4.96690 | + | 9.41332i | −0.213347 | + | 0.404337i | ||||
\(543\) | −3.26810 | − | 1.84558i | −0.140248 | − | 0.0792015i | ||||
\(544\) | 36.2493 | − | 4.15922i | 1.55418 | − | 0.178325i | ||||
\(545\) | 17.1202 | − | 1.96436i | 0.733350 | − | 0.0841441i | ||||
\(546\) | −2.93799 | − | 1.65916i | −0.125734 | − | 0.0710053i | ||||
\(547\) | −5.26903 | + | 9.98592i | −0.225287 | + | 0.426967i | −0.970925 | − | 0.239385i | \(-0.923054\pi\) |
0.745637 | + | 0.666352i | \(0.232145\pi\) | |||||||
\(548\) | 4.10844 | + | 3.35945i | 0.175504 | + | 0.143509i | ||||
\(549\) | −15.4700 | − | 33.8745i | −0.660243 | − | 1.44573i | ||||
\(550\) | −1.19946 | + | 2.22086i | −0.0511450 | + | 0.0946976i | ||||
\(551\) | −7.45944 | + | 16.3339i | −0.317783 | + | 0.695847i | ||||
\(552\) | 4.86633 | − | 2.39261i | 0.207125 | − | 0.101836i | ||||
\(553\) | 31.7614 | − | 32.6817i | 1.35063 | − | 1.38977i | ||||
\(554\) | −11.4585 | + | 0.655221i | −0.486825 | + | 0.0278377i | ||||
\(555\) | 0.0616156 | + | 0.234410i | 0.00261544 | + | 0.00995015i | ||||
\(556\) | 0.0901935 | − | 3.15718i | 0.00382506 | − | 0.133894i | ||||
\(557\) | 16.2817 | + | 30.8573i | 0.689878 | + | 1.30746i | 0.940637 | + | 0.339415i | \(0.110229\pi\) |
−0.250759 | + | 0.968050i | \(0.580680\pi\) | |||||||
\(558\) | 1.25038 | − | 6.17085i | 0.0529327 | − | 0.261233i | ||||
\(559\) | −2.51663 | + | 9.57427i | −0.106442 | + | 0.404948i | ||||
\(560\) | 3.54634 | + | 1.04130i | 0.149860 | + | 0.0440029i | ||||
\(561\) | 4.91981 | + | 4.10302i | 0.207714 | + | 0.173230i | ||||
\(562\) | 5.37228 | − | 1.57744i | 0.226616 | − | 0.0665404i | ||||
\(563\) | 0.537502 | + | 18.8150i | 0.0226530 | + | 0.792959i | 0.928926 | + | 0.370266i | \(0.120733\pi\) |
−0.906273 | + | 0.422693i | \(0.861085\pi\) | |||||||
\(564\) | 0.438583 | − | 0.247679i | 0.0184677 | − | 0.0104292i | ||||
\(565\) | 14.8435 | − | 10.7844i | 0.624470 | − | 0.453704i | ||||
\(566\) | 18.0575 | − | 7.63117i | 0.759014 | − | 0.320762i | ||||
\(567\) | 34.4664 | + | 5.96465i | 1.44745 | + | 0.250492i | ||||
\(568\) | −3.07251 | + | 35.7726i | −0.128920 | + | 1.50098i | ||||
\(569\) | −3.84181 | − | 44.7294i | −0.161057 | − | 1.87515i | −0.417614 | − | 0.908625i | \(-0.637134\pi\) |
0.256557 | − | 0.966529i | \(-0.417412\pi\) | |||||||
\(570\) | −0.416309 | + | 0.0720451i | −0.0174373 | + | 0.00301764i | ||||
\(571\) | 21.2259 | − | 13.6410i | 0.888275 | − | 0.570860i | −0.0150165 | − | 0.999887i | \(-0.504780\pi\) |
0.903291 | + | 0.429028i | \(0.141144\pi\) | |||||||
\(572\) | −15.6565 | + | 0.743269i | −0.654630 | + | 0.0310777i | ||||
\(573\) | 2.62862 | + | 1.68931i | 0.109812 | + | 0.0705721i | ||||
\(574\) | −8.41742 | − | 3.55723i | −0.351336 | − | 0.148476i | ||||
\(575\) | 6.53838 | − | 1.52044i | 0.272669 | − | 0.0634065i | ||||
\(576\) | 2.88657 | − | 7.41410i | 0.120274 | − | 0.308921i | ||||
\(577\) | 12.0962 | + | 20.0593i | 0.503572 | + | 0.835080i | 0.999445 | − | 0.0333150i | \(-0.0106065\pi\) |
−0.495873 | + | 0.868395i | \(0.665152\pi\) | |||||||
\(578\) | −5.11470 | + | 15.7414i | −0.212743 | + | 0.654757i | ||||
\(579\) | −0.424588 | + | 0.550616i | −0.0176453 | + | 0.0228828i | ||||
\(580\) | 5.17365 | + | 13.2884i | 0.214824 | + | 0.551771i | ||||
\(581\) | 39.9988 | + | 58.4963i | 1.65943 | + | 2.42684i | ||||
\(582\) | 0.238176 | − | 1.65655i | 0.00987273 | − | 0.0686664i | ||||
\(583\) | 13.4761 | + | 4.09908i | 0.558125 | + | 0.169767i | ||||
\(584\) | −0.144748 | − | 1.00674i | −0.00598971 | − | 0.0416593i | ||||
\(585\) | 7.11564 | − | 6.53068i | 0.294196 | − | 0.270010i | ||||
\(586\) | 5.05676 | + | 0.289156i | 0.208893 | + | 0.0119449i | ||||
\(587\) | 6.16497 | + | 30.4253i | 0.254456 | + | 1.25579i | 0.879764 | + | 0.475410i | \(0.157700\pi\) |
−0.625309 | + | 0.780377i | \(0.715027\pi\) | |||||||
\(588\) | −3.90894 | + | 3.19633i | −0.161202 | + | 0.131814i | ||||
\(589\) | −4.57461 | − | 2.24919i | −0.188494 | − | 0.0926761i | ||||
\(590\) | 1.30857 | − | 0.466896i | 0.0538729 | − | 0.0192218i | ||||
\(591\) | 5.07812 | + | 6.58543i | 0.208886 | + | 0.270888i | ||||
\(592\) | −0.347054 | + | 0.575524i | −0.0142638 | + | 0.0236539i | ||||
\(593\) | −13.1613 | − | 15.1890i | −0.540471 | − | 0.623737i | 0.418165 | − | 0.908371i | \(-0.362673\pi\) |
−0.958636 | + | 0.284634i | \(0.908128\pi\) | |||||||
\(594\) | 4.27633 | − | 1.75859i | 0.175460 | − | 0.0721560i | ||||
\(595\) | −17.5110 | + | 20.2088i | −0.717883 | + | 0.828481i | ||||
\(596\) | 8.69686 | + | 26.7662i | 0.356237 | + | 1.09639i | ||||
\(597\) | 5.04773 | + | 1.80103i | 0.206590 | + | 0.0737111i | ||||
\(598\) | −11.8426 | − | 12.1858i | −0.484282 | − | 0.498314i | ||||
\(599\) | −1.08998 | − | 1.00037i | −0.0445353 | − | 0.0408741i | 0.653598 | − | 0.756842i | \(-0.273259\pi\) |
−0.698134 | + | 0.715968i | \(0.745986\pi\) | |||||||
\(600\) | −0.455964 | + | 0.666826i | −0.0186146 | + | 0.0272230i | ||||
\(601\) | −7.08643 | − | 1.64788i | −0.289062 | − | 0.0672184i | 0.0794585 | − | 0.996838i | \(-0.474681\pi\) |
−0.368520 | + | 0.929620i | \(0.620135\pi\) | |||||||
\(602\) | −7.87162 | − | 5.71907i | −0.320823 | − | 0.233092i | ||||
\(603\) | −3.62773 | − | 0.416243i | −0.147732 | − | 0.0169507i | ||||
\(604\) | 3.59710 | 0.146364 | ||||||||
\(605\) | −9.47168 | − | 5.59351i | −0.385078 | − | 0.227408i | ||||
\(606\) | 2.21957 | 0.0901640 | ||||||||
\(607\) | −2.30857 | − | 0.264883i | −0.0937019 | − | 0.0107513i | 0.0670137 | − | 0.997752i | \(-0.478653\pi\) |
−0.160716 | + | 0.987001i | \(0.551380\pi\) | |||||||
\(608\) | −8.48425 | − | 6.16417i | −0.344082 | − | 0.249990i | ||||
\(609\) | −13.0303 | − | 3.03006i | −0.528012 | − | 0.122784i | ||||
\(610\) | 5.50906 | − | 8.05674i | 0.223055 | − | 0.326208i | ||||
\(611\) | −2.79965 | − | 2.56950i | −0.113262 | − | 0.103951i | ||||
\(612\) | −17.8986 | − | 18.4172i | −0.723507 | − | 0.744471i | ||||
\(613\) | −0.397856 | − | 0.141955i | −0.0160692 | − | 0.00573350i | 0.328003 | − | 0.944677i | \(-0.393625\pi\) |
−0.344072 | + | 0.938943i | \(0.611806\pi\) | |||||||
\(614\) | −4.86600 | − | 14.9760i | −0.196376 | − | 0.604383i | ||||
\(615\) | −0.567997 | + | 0.655504i | −0.0229039 | + | 0.0264325i | ||||
\(616\) | 11.8027 | − | 35.1628i | 0.475543 | − | 1.41675i | ||||
\(617\) | −10.3574 | − | 11.9531i | −0.416973 | − | 0.481212i | 0.507940 | − | 0.861393i | \(-0.330407\pi\) |
−0.924912 | + | 0.380180i | \(0.875862\pi\) | |||||||
\(618\) | −0.255911 | + | 0.424381i | −0.0102943 | + | 0.0170711i | ||||
\(619\) | −4.69730 | − | 6.09157i | −0.188801 | − | 0.244841i | 0.687982 | − | 0.725727i | \(-0.258497\pi\) |
−0.876783 | + | 0.480887i | \(0.840315\pi\) | |||||||
\(620\) | −3.81281 | + | 1.36041i | −0.153126 | + | 0.0546353i | ||||
\(621\) | −11.0355 | − | 5.42579i | −0.442839 | − | 0.217729i | ||||
\(622\) | 16.9115 | − | 13.8284i | 0.678088 | − | 0.554470i | ||||
\(623\) | −13.5364 | − | 66.8047i | −0.542324 | − | 2.67647i | ||||
\(624\) | −0.886574 | − | 0.0506961i | −0.0354913 | − | 0.00202947i | ||||
\(625\) | −0.736741 | + | 0.676175i | −0.0294696 | + | 0.0270470i | ||||
\(626\) | −3.14930 | − | 21.9039i | −0.125871 | − | 0.875455i | ||||
\(627\) | −0.244382 | − | 1.82497i | −0.00975967 | − | 0.0728825i | ||||
\(628\) | 0.776911 | − | 5.40353i | 0.0310021 | − | 0.215624i | ||||
\(629\) | −2.74447 | − | 4.01365i | −0.109429 | − | 0.160035i | ||||
\(630\) | 3.44405 | + | 8.84597i | 0.137214 | + | 0.352432i | ||||
\(631\) | 4.98152 | − | 6.46015i | 0.198311 | − | 0.257174i | −0.682237 | − | 0.731131i | \(-0.738993\pi\) |
0.880548 | + | 0.473957i | \(0.157175\pi\) | |||||||
\(632\) | −8.53469 | + | 26.2671i | −0.339492 | + | 1.04485i | ||||
\(633\) | 1.82716 | + | 3.03000i | 0.0726230 | + | 0.120432i | ||||
\(634\) | 0.150310 | − | 0.386067i | 0.00596956 | − | 0.0153327i | ||||
\(635\) | 13.4193 | − | 3.12053i | 0.532530 | − | 0.123835i | ||||
\(636\) | 1.72472 | + | 0.728872i | 0.0683896 | + | 0.0289017i | ||||
\(637\) | 32.0475 | + | 20.5957i | 1.26977 | + | 0.816031i | ||||
\(638\) | 23.9406 | − | 8.28160i | 0.947819 | − | 0.327872i | ||||
\(639\) | 33.6893 | − | 21.6508i | 1.33273 | − | 0.856493i | ||||
\(640\) | −9.49666 | + | 1.64346i | −0.375389 | + | 0.0649636i | ||||
\(641\) | −0.118013 | − | 1.37400i | −0.00466124 | − | 0.0542699i | 0.993632 | − | 0.112678i | \(-0.0359429\pi\) |
−0.998293 | + | 0.0584083i | \(0.981397\pi\) | |||||||
\(642\) | −0.284660 | + | 3.31424i | −0.0112346 | + | 0.130803i | ||||
\(643\) | −28.7894 | − | 4.98220i | −1.13534 | − | 0.196479i | −0.428291 | − | 0.903641i | \(-0.640884\pi\) |
−0.707052 | + | 0.707162i | \(0.749975\pi\) | |||||||
\(644\) | −37.7398 | + | 15.9490i | −1.48716 | + | 0.628478i | ||||
\(645\) | −0.747138 | + | 0.542827i | −0.0294185 | + | 0.0213738i | ||||
\(646\) | 7.38021 | − | 4.16780i | 0.290371 | − | 0.163980i | ||||
\(647\) | 0.332296 | + | 11.6319i | 0.0130639 | + | 0.457296i | 0.979622 | + | 0.200849i | \(0.0643700\pi\) |
−0.966558 | + | 0.256447i | \(0.917448\pi\) | |||||||
\(648\) | −20.3398 | + | 5.97230i | −0.799023 | + | 0.234614i | ||||
\(649\) | 1.81524 | + | 5.77643i | 0.0712543 | + | 0.226745i | ||||
\(650\) | 2.42879 | + | 0.713158i | 0.0952651 | + | 0.0279724i | ||||
\(651\) | 0.965474 | − | 3.67304i | 0.0378399 | − | 0.143958i | ||||
\(652\) | 5.53608 | − | 27.3216i | 0.216810 | − | 1.07000i | ||||
\(653\) | −1.96301 | − | 3.72032i | −0.0768186 | − | 0.145587i | 0.843023 | − | 0.537878i | \(-0.180774\pi\) |
−0.919841 | + | 0.392290i | \(0.871683\pi\) | |||||||
\(654\) | 0.116205 | − | 4.06772i | 0.00454399 | − | 0.159060i | ||||
\(655\) | −2.19232 | − | 8.34044i | −0.0856609 | − | 0.325888i | ||||
\(656\) | −2.40114 | + | 0.137302i | −0.0937488 | + | 0.00536075i | ||||
\(657\) | −0.790633 | + | 0.813542i | −0.0308455 | + | 0.0317393i | ||||
\(658\) | 3.35172 | − | 1.64793i | 0.130664 | − | 0.0642430i | ||||
\(659\) | 6.59813 | − | 14.4479i | 0.257026 | − | 0.562810i | −0.736496 | − | 0.676441i | \(-0.763521\pi\) |
0.993523 | + | 0.113632i | \(0.0362485\pi\) | |||||||
\(660\) | −1.17458 | − | 0.870884i | −0.0457206 | − | 0.0338991i | ||||
\(661\) | −7.20214 | − | 15.7705i | −0.280131 | − | 0.613401i | 0.716302 | − | 0.697790i | \(-0.245833\pi\) |
−0.996433 | + | 0.0843895i | \(0.973106\pi\) | |||||||
\(662\) | −5.62349 | − | 4.59831i | −0.218563 | − | 0.178718i | ||||
\(663\) | 2.99817 | − | 5.68216i | 0.116439 | − | 0.220677i | ||||
\(664\) | −37.3954 | − | 21.1182i | −1.45122 | − | 0.819544i | ||||
\(665\) | 7.63553 | − | 0.876096i | 0.296093 | − | 0.0339735i | ||||
\(666\) | −1.71485 | + | 0.196761i | −0.0664492 | + | 0.00762434i | ||||
\(667\) | −58.6647 | − | 33.1295i | −2.27151 | − | 1.28278i | ||||
\(668\) | 1.00795 | − | 1.91027i | 0.0389987 | − | 0.0739108i | ||||
\(669\) | −0.976528 | − | 0.798503i | −0.0377547 | − | 0.0308719i | ||||
\(670\) | −0.397563 | − | 0.870542i | −0.0153592 | − | 0.0336320i | ||||
\(671\) | 34.1681 | + | 25.3336i | 1.31905 | + | 0.977994i | ||||
\(672\) | 3.24566 | − | 7.10699i | 0.125204 | − | 0.274158i | ||||
\(673\) | −39.2175 | + | 19.2820i | −1.51172 | + | 0.743265i | −0.993697 | − | 0.112099i | \(-0.964243\pi\) |
−0.518027 | + | 0.855364i | \(0.673333\pi\) | |||||||
\(674\) | −1.38265 | + | 1.42271i | −0.0532576 | + | 0.0548007i | ||||
\(675\) | 1.82891 | − | 0.104581i | 0.0703946 | − | 0.00402531i | ||||
\(676\) | −0.699491 | − | 2.66114i | −0.0269035 | − | 0.102352i | ||||
\(677\) | −0.831128 | + | 29.0933i | −0.0319428 | + | 1.11815i | 0.812655 | + | 0.582745i | \(0.198021\pi\) |
−0.844598 | + | 0.535401i | \(0.820161\pi\) | |||||||
\(678\) | −2.02192 | − | 3.83197i | −0.0776515 | − | 0.147166i | ||||
\(679\) | −6.04593 | + | 29.8378i | −0.232021 | + | 1.14507i | ||||
\(680\) | 4.11975 | − | 15.6731i | 0.157985 | − | 0.601038i | ||||
\(681\) | 7.55057 | + | 2.21705i | 0.289339 | + | 0.0849575i | ||||
\(682\) | 2.15600 | + | 6.86080i | 0.0825574 | + | 0.262714i | ||||
\(683\) | −32.8889 | + | 9.65706i | −1.25846 | + | 0.369517i | −0.841921 | − | 0.539601i | \(-0.818575\pi\) |
−0.416539 | + | 0.909118i | \(0.636757\pi\) | |||||||
\(684\) | 0.210785 | + | 7.37842i | 0.00805955 | + | 0.282121i | ||||
\(685\) | 3.25242 | − | 1.83672i | 0.124268 | − | 0.0701776i | ||||
\(686\) | −11.7776 | + | 8.55694i | −0.449671 | + | 0.326705i | ||||
\(687\) | 0.223263 | − | 0.0943518i | 0.00851802 | − | 0.00359974i | ||||
\(688\) | −2.52327 | − | 0.436670i | −0.0961989 | − | 0.0166479i | ||||
\(689\) | 1.20886 | − | 14.0745i | 0.0460539 | − | 0.536196i | ||||
\(690\) | −0.135654 | − | 1.57939i | −0.00516425 | − | 0.0601262i | ||||
\(691\) | 38.9474 | − | 6.74011i | 1.48163 | − | 0.256406i | 0.628379 | − | 0.777907i | \(-0.283719\pi\) |
0.853250 | + | 0.521501i | \(0.174628\pi\) | |||||||
\(692\) | −18.1317 | + | 11.6526i | −0.689265 | + | 0.442964i | ||||
\(693\) | −39.0968 | + | 13.5245i | −1.48517 | + | 0.513752i | ||||
\(694\) | −6.22752 | − | 4.00218i | −0.236393 | − | 0.151921i | ||||
\(695\) | −2.04764 | − | 0.865340i | −0.0776714 | − | 0.0328242i | ||||
\(696\) | 7.89684 | − | 1.83633i | 0.299329 | − | 0.0696060i | ||||
\(697\) | 6.31288 | − | 16.2145i | 0.239117 | − | 0.614168i | ||||
\(698\) | −10.2711 | − | 17.0327i | −0.388767 | − | 0.644697i | ||||
\(699\) | −1.89688 | + | 5.83800i | −0.0717467 | + | 0.220814i | ||||
\(700\) | 3.72706 | − | 4.83334i | 0.140870 | − | 0.182683i | ||||
\(701\) | 7.09057 | + | 18.2120i | 0.267807 | + | 0.687857i | 0.999977 | + | 0.00673520i | \(0.00214390\pi\) |
−0.732170 | + | 0.681122i | \(0.761492\pi\) | |||||||
\(702\) | −2.61740 | − | 3.82782i | −0.0987872 | − | 0.144472i | ||||
\(703\) | −0.198886 | + | 1.38328i | −0.00750112 | + | 0.0521715i | ||||
\(704\) | 1.20615 | + | 9.00717i | 0.0454584 | + | 0.339471i | ||||
\(705\) | −0.0504509 | − | 0.350894i | −0.00190009 | − | 0.0132154i | ||||
\(706\) | 7.48095 | − | 6.86595i | 0.281549 | − | 0.258404i | ||||
\(707\) | −40.3104 | − | 2.30503i | −1.51603 | − | 0.0866895i | ||||
\(708\) | 0.159841 | + | 0.788846i | 0.00600719 | + | 0.0296466i | ||||
\(709\) | 3.49371 | − | 2.85679i | 0.131209 | − | 0.107289i | −0.565131 | − | 0.825001i | \(-0.691174\pi\) |
0.696340 | + | 0.717712i | \(0.254811\pi\) | |||||||
\(710\) | 9.41890 | + | 4.63096i | 0.353485 | + | 0.173797i | ||||
\(711\) | 29.0138 | − | 10.3521i | 1.08810 | − | 0.388234i | ||||
\(712\) | 25.2253 | + | 32.7127i | 0.945356 | + | 1.22596i | ||||
\(713\) | 9.87676 | − | 16.3788i | 0.369887 | − | 0.613390i | ||||
\(714\) | 4.13515 | + | 4.77221i | 0.154754 | + | 0.178596i | ||||
\(715\) | −3.51039 | + | 10.4582i | −0.131281 | + | 0.391116i | ||||
\(716\) | −0.875091 | + | 1.00991i | −0.0327037 | + | 0.0377421i | ||||
\(717\) | 1.71622 | + | 5.28197i | 0.0640933 | + | 0.197259i | ||||
\(718\) | −2.24348 | − | 0.800473i | −0.0837260 | − | 0.0298734i | ||||
\(719\) | 12.9185 | + | 13.2929i | 0.481781 | + | 0.495740i | 0.913823 | − | 0.406113i | \(-0.133116\pi\) |
−0.432042 | + | 0.901853i | \(0.642207\pi\) | |||||||
\(720\) | 1.84066 | + | 1.68934i | 0.0685973 | + | 0.0629580i | ||||
\(721\) | 5.08840 | − | 7.44155i | 0.189502 | − | 0.277138i | ||||
\(722\) | 11.7111 | + | 2.72329i | 0.435841 | + | 0.101351i | ||||
\(723\) | 1.82691 | + | 1.32733i | 0.0679434 | + | 0.0493638i | ||||
\(724\) | −17.0738 | − | 1.95904i | −0.634543 | − | 0.0728071i | ||||
\(725\) | 10.0364 | 0.372744 | ||||||||
\(726\) | −1.62575 | + | 2.02594i | −0.0603372 | + | 0.0751898i | ||||
\(727\) | 12.3584 | 0.458349 | 0.229175 | − | 0.973385i | \(-0.426397\pi\) | ||||
0.229175 | + | 0.973385i | \(0.426397\pi\) | |||||||
\(728\) | −36.9551 | − | 4.24020i | −1.36965 | − | 0.157152i | ||||
\(729\) | 17.7489 | + | 12.8954i | 0.657368 | + | 0.477606i | ||||
\(730\) | −0.289598 | − | 0.0673430i | −0.0107185 | − | 0.00249248i | ||||
\(731\) | 10.4572 | − | 15.2932i | 0.386775 | − | 0.565641i | ||||
\(732\) | 4.16567 | + | 3.82321i | 0.153967 | + | 0.141310i | ||||
\(733\) | 22.9556 | + | 23.6207i | 0.847884 | + | 0.872452i | 0.993139 | − | 0.116942i | \(-0.0373092\pi\) |
−0.145255 | + | 0.989394i | \(0.546400\pi\) | |||||||
\(734\) | −25.1918 | − | 8.98841i | −0.929845 | − | 0.331768i | ||||
\(735\) | 1.09820 | + | 3.37990i | 0.0405076 | + | 0.124669i | ||||
\(736\) | 25.7671 | − | 29.7368i | 0.949789 | − | 1.09611i | ||||
\(737\) | 3.85734 | − | 1.58629i | 0.142087 | − | 0.0584316i | ||||
\(738\) | −4.04510 | − | 4.66830i | −0.148902 | − | 0.171842i | ||||
\(739\) | −13.0921 | + | 21.7109i | −0.481602 | + | 0.798647i | −0.998346 | − | 0.0574932i | \(-0.981689\pi\) |
0.516744 | + | 0.856140i | \(0.327144\pi\) | |||||||
\(740\) | 0.677706 | + | 0.878865i | 0.0249130 | + | 0.0323077i | ||||
\(741\) | −1.73918 | + | 0.620537i | −0.0638903 | + | 0.0227960i | ||||
\(742\) | 12.4597 | + | 6.12603i | 0.457410 | + | 0.224893i | ||||
\(743\) | −0.636879 | + | 0.520774i | −0.0233648 | + | 0.0191053i | −0.644623 | − | 0.764501i | \(-0.722986\pi\) |
0.621258 | + | 0.783606i | \(0.286622\pi\) | |||||||
\(744\) | 0.457080 | + | 2.25578i | 0.0167574 | + | 0.0827009i | ||||
\(745\) | 19.7756 | + | 1.13081i | 0.724522 | + | 0.0414297i | ||||
\(746\) | −12.8416 | + | 11.7859i | −0.470164 | + | 0.431512i | ||||
\(747\) | 6.81705 | + | 47.4136i | 0.249423 | + | 1.73477i | ||||
\(748\) | 28.0641 | + | 8.53636i | 1.02613 | + | 0.312120i | ||||
\(749\) | 8.61164 | − | 59.8953i | 0.314662 | − | 2.18853i | ||||
\(750\) | 0.133290 | + | 0.194931i | 0.00486708 | + | 0.00711788i | ||||
\(751\) | 4.10678 | + | 10.5482i | 0.149859 | + | 0.384908i | 0.986703 | − | 0.162532i | \(-0.0519660\pi\) |
−0.836845 | + | 0.547440i | \(0.815602\pi\) | |||||||
\(752\) | 0.600259 | − | 0.778430i | 0.0218892 | − | 0.0283864i | ||||
\(753\) | 2.56815 | − | 7.90394i | 0.0935885 | − | 0.288036i | ||||
\(754\) | −13.1193 | − | 21.7560i | −0.477778 | − | 0.792306i | ||||
\(755\) | 0.918519 | − | 2.35920i | 0.0334283 | − | 0.0858600i | ||||
\(756\) | −10.8903 | + | 2.53244i | −0.396077 | + | 0.0921038i | ||||
\(757\) | 16.3383 | + | 6.90462i | 0.593826 | + | 0.250953i | 0.665406 | − | 0.746482i | \(-0.268259\pi\) |
−0.0715799 | + | 0.997435i | \(0.522804\pi\) | |||||||
\(758\) | −7.52917 | − | 4.83870i | −0.273472 | − | 0.175750i | ||||
\(759\) | 6.90062 | − | 0.327598i | 0.250477 | − | 0.0118910i | ||||
\(760\) | −3.91838 | + | 2.51819i | −0.142135 | + | 0.0913444i | ||||
\(761\) | −28.4073 | + | 4.91607i | −1.02976 | + | 0.178208i | −0.660272 | − | 0.751027i | \(-0.729559\pi\) |
−0.369491 | + | 0.929234i | \(0.620468\pi\) | |||||||
\(762\) | −0.278415 | − | 3.24153i | −0.0100859 | − | 0.117428i | ||||
\(763\) | −6.33477 | + | 73.7544i | −0.229334 | + | 2.67009i | ||||
\(764\) | 14.0981 | + | 2.43977i | 0.510051 | + | 0.0882678i | ||||
\(765\) | −16.6495 | + | 7.03613i | −0.601964 | + | 0.254392i | ||||
\(766\) | −16.3181 | + | 11.8558i | −0.589598 | + | 0.428368i | ||||
\(767\) | 5.28749 | − | 2.98598i | 0.190920 | − | 0.107818i | ||||
\(768\) | 0.113549 | + | 3.97472i | 0.00409733 | + | 0.143425i | ||||
\(769\) | 35.8247 | − | 10.5191i | 1.29187 | − | 0.379328i | 0.437608 | − | 0.899166i | \(-0.355826\pi\) |
0.854265 | + | 0.519838i | \(0.174008\pi\) | |||||||
\(770\) | −8.32689 | − | 6.94447i | −0.300080 | − | 0.250261i | ||||
\(771\) | −1.40975 | − | 0.413940i | −0.0507709 | − | 0.0149077i | ||||
\(772\) | −0.809377 | + | 3.07919i | −0.0291301 | + | 0.110822i | ||||
\(773\) | −2.98501 | + | 14.7316i | −0.107363 | + | 0.529859i | 0.889915 | + | 0.456127i | \(0.150764\pi\) |
−0.997278 | + | 0.0737321i | \(0.976509\pi\) | |||||||
\(774\) | −3.06926 | − | 5.81690i | −0.110322 | − | 0.209084i | ||||
\(775\) | −0.0813622 | + | 2.84805i | −0.00292261 | + | 0.102305i | ||||
\(776\) | −4.69042 | − | 17.8442i | −0.168376 | − | 0.640570i | ||||
\(777\) | −1.03946 | + | 0.0594387i | −0.0372906 | + | 0.00213235i | ||||
\(778\) | −3.66375 | + | 3.76991i | −0.131352 | + | 0.135158i | ||||
\(779\) | −4.48800 | + | 2.20660i | −0.160799 | + | 0.0790597i | ||||
\(780\) | −0.609177 | + | 1.33391i | −0.0218120 | + | 0.0477617i | ||||
\(781\) | −21.7366 | + | 40.2465i | −0.777796 | + | 1.44013i | ||||
\(782\) | 13.2105 | + | 28.9271i | 0.472408 | + | 1.03443i | ||||
\(783\) | −14.2331 | − | 11.6384i | −0.508650 | − | 0.415921i | ||||
\(784\) | −4.59869 | + | 8.71548i | −0.164239 | + | 0.311267i | ||||
\(785\) | −3.34558 | − | 1.88933i | −0.119409 | − | 0.0674332i | ||||
\(786\) | −2.02318 | + | 0.232139i | −0.0721646 | + | 0.00828011i | ||||
\(787\) | 9.13568 | − | 1.04822i | 0.325652 | − | 0.0373650i | 0.0503758 | − | 0.998730i | \(-0.483958\pi\) |
0.275276 | + | 0.961365i | \(0.411231\pi\) | |||||||
\(788\) | 33.1566 | + | 18.7244i | 1.18116 | + | 0.667030i | ||||
\(789\) | 0.228078 | − | 0.432255i | 0.00811978 | − | 0.0153887i | ||||
\(790\) | 6.25021 | + | 5.11077i | 0.222373 | + | 0.181833i | ||||
\(791\) | 32.7412 | + | 71.6933i | 1.16414 | + | 2.54912i | ||||
\(792\) | 17.6467 | − | 17.8098i | 0.627050 | − | 0.632843i | ||||
\(793\) | 17.7207 | − | 38.8029i | 0.629280 | − | 1.37793i | ||||
\(794\) | −2.19194 | + | 1.07771i | −0.0777892 | + | 0.0382464i | ||||
\(795\) | 0.918444 | − | 0.945057i | 0.0325739 | − | 0.0335177i | ||||
\(796\) | 24.5005 | − | 1.40099i | 0.868397 | − | 0.0496567i | ||||
\(797\) | −2.82004 | − | 10.7285i | −0.0998908 | − | 0.380024i | 0.898352 | − | 0.439276i | \(-0.144765\pi\) |
−0.998243 | + | 0.0592518i | \(0.981129\pi\) | |||||||
\(798\) | 0.0518270 | − | 1.81418i | 0.00183466 | − | 0.0642214i | ||||
\(799\) | 3.31879 | + | 6.28981i | 0.117410 | + | 0.222518i | ||||
\(800\) | −1.16404 | + | 5.74478i | −0.0411552 | + | 0.203109i | ||||
\(801\) | 11.7131 | − | 44.5611i | 0.413861 | − | 1.57449i | ||||
\(802\) | 4.47593 | + | 1.31425i | 0.158051 | + | 0.0464078i | ||||
\(803\) | 0.341522 | − | 1.24994i | 0.0120521 | − | 0.0441094i | ||||
\(804\) | 0.531959 | − | 0.156197i | 0.0187608 | − | 0.00550865i | ||||
\(805\) | 0.823453 | + | 28.8246i | 0.0290229 | + | 1.01593i | ||||
\(806\) | 6.28007 | − | 3.54652i | 0.221206 | − | 0.124921i | ||||
\(807\) | 2.67649 | − | 1.94458i | 0.0942168 | − | 0.0684525i | ||||
\(808\) | 22.5395 | − | 9.52526i | 0.792936 | − | 0.335098i | ||||
\(809\) | −7.29549 | − | 1.26253i | −0.256496 | − | 0.0443884i | 0.0408238 | − | 0.999166i | \(-0.487002\pi\) |
−0.297320 | + | 0.954778i | \(0.596093\pi\) | |||||||
\(810\) | −0.530299 | + | 6.17415i | −0.0186328 | + | 0.216938i | ||||
\(811\) | 3.82569 | + | 44.5417i | 0.134338 | + | 1.56407i | 0.684500 | + | 0.729013i | \(0.260021\pi\) |
−0.550161 | + | 0.835058i | \(0.685434\pi\) | |||||||
\(812\) | −60.3597 | + | 10.4457i | −2.11821 | + | 0.366571i | ||||
\(813\) | −3.65070 | + | 2.34616i | −0.128036 | + | 0.0822834i | ||||
\(814\) | 1.60617 | − | 1.14335i | 0.0562961 | − | 0.0400746i | ||||
\(815\) | −16.5055 | − | 10.6075i | −0.578164 | − | 0.371563i | ||||
\(816\) | 1.53082 | + | 0.646932i | 0.0535896 | + | 0.0226471i | ||||
\(817\) | −5.18654 | + | 1.20608i | −0.181454 | + | 0.0421953i | ||||
\(818\) | −5.33427 | + | 13.7010i | −0.186508 | + | 0.479043i | ||||
\(819\) | 21.4248 | + | 35.5291i | 0.748645 | + | 1.24149i | ||||
\(820\) | −1.22729 | + | 3.77720i | −0.0428587 | + | 0.131906i | ||||
\(821\) | −8.71138 | + | 11.2971i | −0.304029 | + | 0.394272i | −0.918987 | − | 0.394288i | \(-0.870991\pi\) |
0.614958 | + | 0.788560i | \(0.289173\pi\) | |||||||
\(822\) | −0.320015 | − | 0.821951i | −0.0111618 | − | 0.0286688i | ||||
\(823\) | 6.35915 | + | 9.29996i | 0.221666 | + | 0.324176i | 0.920235 | − | 0.391367i | \(-0.127998\pi\) |
−0.698569 | + | 0.715543i | \(0.746179\pi\) | |||||||
\(824\) | −0.777521 | + | 5.40777i | −0.0270862 | + | 0.188389i | ||||
\(825\) | −0.871107 | + | 0.547983i | −0.0303281 | + | 0.0190783i | ||||
\(826\) | 0.849379 | + | 5.90756i | 0.0295537 | + | 0.205550i | ||||
\(827\) | 23.0134 | − | 21.1215i | 0.800255 | − | 0.734467i | −0.167633 | − | 0.985849i | \(-0.553612\pi\) |
0.967888 | + | 0.251382i | \(0.0808851\pi\) | |||||||
\(828\) | −27.6499 | − | 1.58108i | −0.960899 | − | 0.0549462i | ||||
\(829\) | −5.96797 | − | 29.4531i | −0.207276 | − | 1.02295i | −0.939674 | − | 0.342071i | \(-0.888872\pi\) |
0.732398 | − | 0.680877i | \(-0.238401\pi\) | |||||||
\(830\) | −9.71888 | + | 7.94709i | −0.337347 | + | 0.275847i | ||||
\(831\) | −4.19945 | − | 2.06473i | −0.145677 | − | 0.0716248i | ||||
\(832\) | 8.58372 | − | 3.06267i | 0.297587 | − | 0.106179i | ||||
\(833\) | −43.5354 | − | 56.4577i | −1.50841 | − | 1.95614i | ||||
\(834\) | −0.271081 | + | 0.449537i | −0.00938675 | + | 0.0155662i | ||||
\(835\) | −0.995494 | − | 1.14886i | −0.0344505 | − | 0.0397580i | ||||
\(836\) | −4.28368 | − | 7.26175i | −0.148154 | − | 0.251153i | ||||
\(837\) | 3.41801 | − | 3.94460i | 0.118144 | − | 0.136345i | ||||
\(838\) | 7.28838 | + | 22.4313i | 0.251773 | + | 0.774878i | ||||
\(839\) | 3.25695 | + | 1.16208i | 0.112442 | + | 0.0401194i | 0.391671 | − | 0.920105i | \(-0.371897\pi\) |
−0.279229 | + | 0.960225i | \(0.590079\pi\) | |||||||
\(840\) | −2.41846 | − | 2.48853i | −0.0834447 | − | 0.0858625i | ||||
\(841\) | −52.8464 | − | 48.5019i | −1.82229 | − | 1.67248i | ||||
\(842\) | −10.6586 | + | 15.5877i | −0.367320 | + | 0.537188i | ||||
\(843\) | 2.22358 | + | 0.517070i | 0.0765840 | + | 0.0178088i | ||||
\(844\) | 13.1074 | + | 9.52308i | 0.451175 | + | 0.327798i | ||||
\(845\) | −1.92395 | − | 0.220753i | −0.0661859 | − | 0.00759412i | ||||
\(846\) | 2.52466 | 0.0867995 | ||||||||
\(847\) | 31.6296 | − | 35.1054i | 1.08681 | − | 1.20624i | ||||
\(848\) | 3.65417 | 0.125485 | ||||||||
\(849\) | 7.94092 | + | 0.911136i | 0.272532 | + | 0.0312701i | ||||
\(850\) | −3.83257 | − | 2.78453i | −0.131456 | − | 0.0955084i | ||||
\(851\) | −5.10716 | − | 1.18762i | −0.175071 | − | 0.0407110i | ||||
\(852\) | −3.43200 | + | 5.01914i | −0.117578 | + | 0.171953i | ||||
\(853\) | −8.82781 | − | 8.10209i | −0.302259 | − | 0.277410i | 0.510666 | − | 0.859779i | \(-0.329399\pi\) |
−0.812925 | + | 0.582369i | \(0.802126\pi\) | |||||||
\(854\) | 29.2204 | + | 30.0670i | 0.999900 | + | 1.02887i | ||||
\(855\) | 4.89304 | + | 1.74583i | 0.167338 | + | 0.0597062i | ||||
\(856\) | 11.3323 | + | 34.8773i | 0.387330 | + | 1.19208i | ||||
\(857\) | −20.4132 | + | 23.5581i | −0.697301 | + | 0.804728i | −0.988385 | − | 0.151969i | \(-0.951438\pi\) |
0.291084 | + | 0.956697i | \(0.405984\pi\) | |||||||
\(858\) | 2.32655 | + | 1.17199i | 0.0794271 | + | 0.0400112i | ||||
\(859\) | −10.2222 | − | 11.7970i | −0.348776 | − | 0.402509i | 0.554072 | − | 0.832469i | \(-0.313073\pi\) |
−0.902848 | + | 0.429960i | \(0.858528\pi\) | |||||||
\(860\) | −2.18370 | + | 3.62127i | −0.0744637 | + | 0.123484i | ||||
\(861\) | −2.27522 | − | 2.95055i | −0.0775392 | − | 0.100555i | ||||
\(862\) | −0.794447 | + | 0.283458i | −0.0270590 | + | 0.00965462i | ||||
\(863\) | 0.902686 | + | 0.443821i | 0.0307278 | + | 0.0151078i | 0.456520 | − | 0.889713i | \(-0.349096\pi\) |
−0.425793 | + | 0.904821i | \(0.640005\pi\) | |||||||
\(864\) | 8.31250 | − | 6.79710i | 0.282797 | − | 0.231242i | ||||
\(865\) | 3.01252 | + | 14.8674i | 0.102429 | + | 0.505505i | ||||
\(866\) | 1.22184 | + | 0.0698672i | 0.0415197 | + | 0.00237418i | ||||
\(867\) | −4.97191 | + | 4.56318i | −0.168855 | + | 0.154974i | ||||
\(868\) | −2.47486 | − | 17.2130i | −0.0840022 | − | 0.584248i | ||||
\(869\) | −23.2981 | + | 26.3673i | −0.790335 | + | 0.894449i | ||||
\(870\) | 0.337294 | − | 2.34593i | 0.0114353 | − | 0.0795344i | ||||
\(871\) | −2.36094 | − | 3.45277i | −0.0799975 | − | 0.116993i | ||||
\(872\) | −16.2765 | − | 41.8059i | −0.551192 | − | 1.41573i | ||||
\(873\) | −12.5665 | + | 16.2966i | −0.425312 | + | 0.551555i | ||||
\(874\) | 2.82447 | − | 8.69283i | 0.0955392 | − | 0.294039i | ||||
\(875\) | −2.21829 | − | 3.67862i | −0.0749919 | − | 0.124360i | ||||
\(876\) | 0.0624913 | − | 0.160508i | 0.00211139 | − | 0.00542305i | ||||
\(877\) | 21.3434 | − | 4.96319i | 0.720714 | − | 0.167595i | 0.149932 | − | 0.988696i | \(-0.452095\pi\) |
0.570782 | + | 0.821101i | \(0.306640\pi\) | |||||||
\(878\) | 19.8837 | + | 8.40291i | 0.671041 | + | 0.283584i | ||||
\(879\) | 1.73732 | + | 1.11650i | 0.0585982 | + | 0.0376588i | ||||
\(880\) | −2.77310 | − | 0.673222i | −0.0934811 | − | 0.0226943i | ||||
\(881\) | −28.9773 | + | 18.6226i | −0.976269 | + | 0.627410i | −0.928454 | − | 0.371446i | \(-0.878862\pi\) |
−0.0478143 | + | 0.998856i | \(0.515226\pi\) | |||||||
\(882\) | −24.9387 | + | 4.31580i | −0.839728 | + | 0.145321i | ||||
\(883\) | −1.33488 | − | 15.5417i | −0.0449223 | − | 0.523021i | −0.983861 | − | 0.178936i | \(-0.942735\pi\) |
0.938938 | − | 0.344085i | \(-0.111811\pi\) | |||||||
\(884\) | 2.51746 | − | 29.3102i | 0.0846712 | − | 0.985809i | ||||
\(885\) | 0.558187 | + | 0.0965981i | 0.0187633 | + | 0.00324711i | ||||
\(886\) | −7.41648 | + | 3.13423i | −0.249162 | + | 0.105297i | ||||
\(887\) | 11.4368 | − | 8.30933i | 0.384010 | − | 0.279000i | −0.378986 | − | 0.925402i | \(-0.623727\pi\) |
0.762997 | + | 0.646402i | \(0.223727\pi\) | |||||||
\(888\) | 0.549427 | − | 0.310276i | 0.0184376 | − | 0.0104122i | ||||
\(889\) | 1.69005 | + | 59.1595i | 0.0566825 | + | 1.98414i | ||||
\(890\) | 11.5866 | − | 3.40213i | 0.388383 | − | 0.114040i | ||||
\(891\) | −26.7993 | − | 3.33811i | −0.897809 | − | 0.111831i | ||||
\(892\) | −5.54208 | − | 1.62730i | −0.185562 | − | 0.0544861i | ||||
\(893\) | 0.519632 | − | 1.97689i | 0.0173888 | − | 0.0661539i | ||||
\(894\) | 0.928914 | − | 4.58437i | 0.0310675 | − | 0.153324i | ||||
\(895\) | 0.438905 | + | 0.831817i | 0.0146710 | + | 0.0278046i | ||||
\(896\) | 1.18226 | − | 41.3844i | 0.0394964 | − | 1.38255i | ||||
\(897\) | −1.76130 | − | 6.70067i | −0.0588080 | − | 0.223729i | ||||
\(898\) | −8.98843 | + | 0.513977i | −0.299948 | + | 0.0171516i | ||||
\(899\) | 19.9295 | − | 20.5070i | 0.664687 | − | 0.683947i | ||||
\(900\) | 3.70238 | − | 1.82034i | 0.123413 | − | 0.0606779i | ||||
\(901\) | −10.9823 | + | 24.0480i | −0.365875 | + | 0.801154i | ||||
\(902\) | 6.62184 | + | 2.43519i | 0.220483 | + | 0.0810831i | ||||
\(903\) | −1.64801 | − | 3.60864i | −0.0548423 | − | 0.120088i | ||||
\(904\) | −36.9772 | − | 30.2361i | −1.22984 | − | 1.00564i | ||||
\(905\) | −5.64464 | + | 10.6978i | −0.187634 | + | 0.355607i | ||||
\(906\) | −0.520573 | − | 0.293981i | −0.0172949 | − | 0.00976687i | ||||
\(907\) | −46.6954 | + | 5.35779i | −1.55049 | + | 0.177903i | −0.846533 | − | 0.532336i | \(-0.821314\pi\) |
−0.703961 | + | 0.710239i | \(0.748587\pi\) | |||||||
\(908\) | 35.7985 | − | 4.10749i | 1.18801 | − | 0.136312i | ||||
\(909\) | −23.7649 | − | 13.4207i | −0.788233 | − | 0.445136i | ||||
\(910\) | −5.07447 | + | 9.61719i | −0.168217 | + | 0.318807i | ||||
\(911\) | −26.0168 | − | 21.2738i | −0.861974 | − | 0.704833i | 0.0948527 | − | 0.995491i | \(-0.469762\pi\) |
−0.956827 | + | 0.290659i | \(0.906126\pi\) | |||||||
\(912\) | −0.198429 | − | 0.434500i | −0.00657065 | − | 0.0143877i | ||||
\(913\) | −32.9891 | − | 43.6485i | −1.09178 | − | 1.44456i | ||||
\(914\) | 4.11115 | − | 9.00217i | 0.135985 | − | 0.297765i | ||||
\(915\) | 3.57119 | − | 1.75584i | 0.118060 | − | 0.0580462i | ||||
\(916\) | 0.773499 | − | 0.795911i | 0.0255571 | − | 0.0262976i | ||||
\(917\) | 36.9847 | − | 2.11486i | 1.22134 | − | 0.0698389i | ||||
\(918\) | 2.20617 | + | 8.39316i | 0.0728146 | + | 0.277015i | ||||
\(919\) | −0.695679 | + | 24.3519i | −0.0229483 | + | 0.803296i | 0.903875 | + | 0.427798i | \(0.140710\pi\) |
−0.926823 | + | 0.375499i | \(0.877471\pi\) | |||||||
\(920\) | −8.15546 | − | 15.4563i | −0.268878 | − | 0.509580i | ||||
\(921\) | 1.27503 | − | 6.29250i | 0.0420136 | − | 0.207345i | ||||
\(922\) | −4.75958 | + | 18.1073i | −0.156748 | + | 0.596333i | ||||
\(923\) | 44.0147 | + | 12.9239i | 1.44876 | + | 0.425395i | ||||
\(924\) | 4.66857 | − | 4.20223i | 0.153585 | − | 0.138243i | ||||
\(925\) | 0.749464 | − | 0.220062i | 0.0246422 | − | 0.00723561i | ||||
\(926\) | 0.381170 | + | 13.3427i | 0.0125260 | + | 0.438468i | ||||
\(927\) | 5.30606 | − | 2.99647i | 0.174274 | − | 0.0984170i | ||||
\(928\) | 47.5935 | − | 34.5787i | 1.56233 | − | 1.13510i | ||||
\(929\) | −32.3153 | + | 13.6566i | −1.06023 | + | 0.448057i | −0.848459 | − | 0.529262i | \(-0.822469\pi\) |
−0.211772 | + | 0.977319i | \(0.567923\pi\) | |||||||
\(930\) | 0.662972 | + | 0.114732i | 0.0217397 | + | 0.00376220i | ||||
\(931\) | −1.75354 | + | 20.4160i | −0.0574698 | + | 0.669109i | ||||
\(932\) | 2.40531 | + | 28.0046i | 0.0787886 | + | 0.917320i | ||||
\(933\) | 8.77655 | − | 1.51884i | 0.287331 | − | 0.0497247i | ||||
\(934\) | −0.669492 | + | 0.430257i | −0.0219065 | + | 0.0140784i | ||||
\(935\) | 12.7648 | − | 16.2264i | 0.417454 | − | 0.530659i | ||||
\(936\) | −21.1525 | − | 13.5939i | −0.691390 | − | 0.444329i | ||||
\(937\) | −19.6745 | − | 8.31452i | −0.642739 | − | 0.271624i | 0.0434407 | − | 0.999056i | \(-0.486168\pi\) |
−0.686179 | + | 0.727432i | \(0.740714\pi\) | |||||||
\(938\) | 4.00427 | − | 0.931152i | 0.130744 | − | 0.0304032i | ||||
\(939\) | 3.27349 | − | 8.40790i | 0.106826 | − | 0.274381i | ||||
\(940\) | −0.838242 | − | 1.39007i | −0.0273405 | − | 0.0453390i | ||||
\(941\) | −12.4858 | + | 38.4275i | −0.407027 | + | 1.25270i | 0.512164 | + | 0.858887i | \(0.328844\pi\) |
−0.919191 | + | 0.393812i | \(0.871156\pi\) | |||||||
\(942\) | −0.554050 | + | 0.718505i | −0.0180519 | + | 0.0234102i | ||||
\(943\) | −6.80777 | − | 17.4856i | −0.221692 | − | 0.569410i | ||||
\(944\) | 0.886620 | + | 1.29664i | 0.0288570 | + | 0.0422020i | ||||
\(945\) | −1.11992 | + | 7.78918i | −0.0364308 | + | 0.253382i | ||||
\(946\) | 6.28007 | + | 4.12241i | 0.204183 | + | 0.134031i | ||||
\(947\) | −0.950168 | − | 6.60856i | −0.0308763 | − | 0.214749i | 0.968542 | − | 0.248850i | \(-0.0800525\pi\) |
−0.999418 | + | 0.0341003i | \(0.989143\pi\) | |||||||
\(948\) | −3.44589 | + | 3.16261i | −0.111917 | + | 0.102717i | ||||
\(949\) | −1.29737 | − | 0.0741861i | −0.0421143 | − | 0.00240818i | ||||
\(950\) | 0.270400 | + | 1.33448i | 0.00877294 | + | 0.0432962i | ||||
\(951\) | 0.130768 | − | 0.106929i | 0.00424045 | − | 0.00346740i | ||||
\(952\) | 62.4717 | + | 30.7153i | 2.02472 | + | 0.995488i | ||||
\(953\) | 24.5805 | − | 8.77030i | 0.796240 | − | 0.284098i | 0.0935690 | − | 0.995613i | \(-0.470172\pi\) |
0.702671 | + | 0.711515i | \(0.251991\pi\) | |||||||
\(954\) | 5.73104 | + | 7.43214i | 0.185549 | + | 0.240624i | ||||
\(955\) | 5.20009 | − | 8.62338i | 0.168271 | − | 0.279046i | ||||
\(956\) | 16.6535 | + | 19.2191i | 0.538612 | + | 0.621592i | ||||
\(957\) | 10.1600 | + | 1.85974i | 0.328426 | + | 0.0601170i | ||||
\(958\) | −4.55616 | + | 5.25809i | −0.147203 | + | 0.169881i | ||||
\(959\) | 4.95828 | + | 15.2600i | 0.160111 | + | 0.492772i | ||||
\(960\) | 0.800766 | + | 0.285713i | 0.0258446 | + | 0.00922134i | ||||
\(961\) | −15.9473 | − | 16.4094i | −0.514430 | − | 0.529336i | ||||
\(962\) | −1.45671 | − | 1.33695i | −0.0469662 | − | 0.0431052i | ||||
\(963\) | 23.0874 | − | 33.7643i | 0.743982 | − | 1.08804i | ||||
\(964\) | 10.0714 | + | 2.34200i | 0.324378 | + | 0.0754308i | ||||
\(965\) | 1.81284 | + | 1.31711i | 0.0583575 | + | 0.0423992i | ||||
\(966\) | 6.76518 | + | 0.776232i | 0.217666 | + | 0.0249748i | ||||
\(967\) | −23.2701 | −0.748317 | −0.374159 | − | 0.927365i | \(-0.622068\pi\) | ||||
−0.374159 | + | 0.927365i | \(0.622068\pi\) | |||||||
\(968\) | −7.81496 | + | 27.5500i | −0.251182 | + | 0.885492i | ||||
\(969\) | 3.45580 | 0.111016 | ||||||||
\(970\) | −5.35838 | − | 0.614817i | −0.172047 | − | 0.0197406i | ||||
\(971\) | 23.6132 | + | 17.1560i | 0.757783 | + | 0.550561i | 0.898229 | − | 0.439527i | \(-0.144854\pi\) |
−0.140447 | + | 0.990088i | \(0.544854\pi\) | |||||||
\(972\) | −11.1021 | − | 2.58169i | −0.356101 | − | 0.0828077i | ||||
\(973\) | 5.39002 | − | 7.88265i | 0.172796 | − | 0.252706i | ||||
\(974\) | −14.0577 | − | 12.9020i | −0.450437 | − | 0.413407i | ||||
\(975\) | 0.719306 | + | 0.740148i | 0.0230362 | + | 0.0237037i | ||||
\(976\) | 10.3929 | + | 3.70818i | 0.332668 | + | 0.118696i | ||||
\(977\) | −19.0666 | − | 58.6809i | −0.609994 | − | 1.87737i | −0.457901 | − | 0.889003i | \(-0.651399\pi\) |
−0.152093 | − | 0.988366i | \(-0.548601\pi\) | |||||||
\(978\) | −3.03410 | + | 3.50154i | −0.0970199 | + | 0.111967i | ||||
\(979\) | 12.8853 | + | 51.0249i | 0.411815 | + | 1.63076i | ||||
\(980\) | 10.6565 | + | 12.2982i | 0.340408 | + | 0.392852i | ||||
\(981\) | −25.8397 | + | 42.8504i | −0.824999 | + | 1.36811i | ||||
\(982\) | 12.3194 | + | 15.9760i | 0.393127 | + | 0.509816i | ||||
\(983\) | −33.8892 | + | 12.0916i | −1.08090 | + | 0.385663i | −0.815667 | − | 0.578522i | \(-0.803630\pi\) |
−0.265230 | + | 0.964185i | \(0.585448\pi\) | |||||||
\(984\) | 2.02637 | + | 0.996297i | 0.0645982 | + | 0.0317608i | ||||
\(985\) | 20.7471 | − | 16.9648i | 0.661058 | − | 0.540545i | ||||
\(986\) | 9.44213 | + | 46.5988i | 0.300699 | + | 1.48401i | ||||
\(987\) | 1.52035 | + | 0.0869370i | 0.0483934 | + | 0.00276723i | ||||
\(988\) | −6.22940 | + | 5.71729i | −0.198184 | + | 0.181891i | ||||
\(989\) | −2.84331 | − | 19.7757i | −0.0904121 | − | 0.628830i | ||||
\(990\) | −2.97996 | − | 6.69601i | −0.0947092 | − | 0.212813i | ||||
\(991\) | 2.15925 | − | 15.0179i | 0.0685910 | − | 0.477061i | −0.926355 | − | 0.376651i | \(-0.877076\pi\) |
0.994946 | − | 0.100410i | \(-0.0320153\pi\) | |||||||
\(992\) | 9.42661 | + | 13.7860i | 0.299295 | + | 0.437705i | ||||
\(993\) | −1.07457 | − | 2.76000i | −0.0341003 | − | 0.0875860i | ||||
\(994\) | −27.5322 | + | 35.7043i | −0.873267 | + | 1.13247i | ||||
\(995\) | 5.33733 | − | 16.4266i | 0.169205 | − | 0.520759i | ||||
\(996\) | −3.75571 | − | 6.22815i | −0.119004 | − | 0.197346i | ||||
\(997\) | 1.56564 | − | 4.02131i | 0.0495843 | − | 0.127356i | −0.904894 | − | 0.425638i | \(-0.860050\pi\) |
0.954478 | + | 0.298282i | \(0.0964134\pi\) | |||||||
\(998\) | 14.1587 | − | 3.29246i | 0.448185 | − | 0.104221i | ||||
\(999\) | −1.31804 | − | 0.557007i | −0.0417008 | − | 0.0176229i |
(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 | 605.2.s.b.16.8 | ✓ | 880 | |
121.53 | even | 55 | inner | 605.2.s.b.416.8 | yes | 880 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
605.2.s.b.16.8 | ✓ | 880 | 1.1 | even | 1 | trivial | |
605.2.s.b.416.8 | yes | 880 | 121.53 | even | 55 | inner |