Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [115,2,Mod(6,115)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(115, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 18]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("115.6");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 115 = 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 115.g (of order \(11\), degree \(10\), 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: | \(0.918279623245\) |
Analytic rank: | \(0\) |
Dimension: | \(10\) |
Coefficient field: | \(\Q(\zeta_{22})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{10} - x^{9} + x^{8} - x^{7} + x^{6} - x^{5} + x^{4} - x^{3} + x^{2} - x + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 36.1 | ||
Root | \(-0.841254 + 0.540641i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 115.36 |
Dual form | 115.2.g.a.16.1 |
$q$-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 \(\left(\mathbb{Z}/115\mathbb{Z}\right)^\times\).
\(n\) | \(47\) | \(51\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{7}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.57028 | + | 1.81219i | 1.11035 | + | 1.28142i | 0.955989 | + | 0.293401i | \(0.0947871\pi\) |
0.154363 | + | 0.988014i | \(0.450667\pi\) | |||||||
\(3\) | −0.841254 | − | 0.540641i | −0.485698 | − | 0.312139i | 0.274775 | − | 0.961508i | \(-0.411397\pi\) |
−0.760473 | + | 0.649369i | \(0.775033\pi\) | |||||||
\(4\) | −0.533654 | + | 3.71165i | −0.266827 | + | 1.85582i | ||||
\(5\) | −0.415415 | + | 0.909632i | −0.185779 | + | 0.406800i | ||||
\(6\) | −0.341254 | − | 2.37347i | −0.139316 | − | 0.968965i | ||||
\(7\) | 1.31718 | + | 0.386758i | 0.497847 | + | 0.146181i | 0.521010 | − | 0.853551i | \(-0.325556\pi\) |
−0.0231631 | + | 0.999732i | \(0.507374\pi\) | |||||||
\(8\) | −3.52977 | + | 2.26844i | −1.24796 | + | 0.802016i | ||||
\(9\) | −0.830830 | − | 1.81926i | −0.276943 | − | 0.606421i | ||||
\(10\) | −2.30075 | + | 0.675560i | −0.727560 | + | 0.213631i | ||||
\(11\) | 1.49103 | − | 1.72073i | 0.449561 | − | 0.518821i | −0.485053 | − | 0.874485i | \(-0.661200\pi\) |
0.934614 | + | 0.355664i | \(0.115745\pi\) | |||||||
\(12\) | 2.45561 | − | 2.83392i | 0.708873 | − | 0.818083i | ||||
\(13\) | −0.817178 | + | 0.239945i | −0.226644 | + | 0.0665488i | −0.393083 | − | 0.919503i | \(-0.628591\pi\) |
0.166438 | + | 0.986052i | \(0.446773\pi\) | |||||||
\(14\) | 1.36745 | + | 2.99430i | 0.365467 | + | 0.800261i | ||||
\(15\) | 0.841254 | − | 0.540641i | 0.217211 | − | 0.139593i | ||||
\(16\) | −2.45773 | − | 0.721655i | −0.614432 | − | 0.180414i | ||||
\(17\) | −0.581014 | − | 4.04104i | −0.140917 | − | 0.980097i | −0.930458 | − | 0.366399i | \(-0.880591\pi\) |
0.789541 | − | 0.613698i | \(-0.210319\pi\) | |||||||
\(18\) | 1.99223 | − | 4.36237i | 0.469573 | − | 1.02822i | ||||
\(19\) | 0.384487 | − | 2.67417i | 0.0882074 | − | 0.613496i | −0.896987 | − | 0.442056i | \(-0.854249\pi\) |
0.985195 | − | 0.171439i | \(-0.0548418\pi\) | |||||||
\(20\) | −3.15455 | − | 2.02730i | −0.705378 | − | 0.453319i | ||||
\(21\) | −0.898983 | − | 1.03748i | −0.196174 | − | 0.226397i | ||||
\(22\) | 5.45963 | 1.16400 | ||||||||
\(23\) | −1.93440 | + | 4.38840i | −0.403351 | + | 0.915046i | ||||
\(24\) | 4.19584 | 0.856473 | ||||||||
\(25\) | −0.654861 | − | 0.755750i | −0.130972 | − | 0.151150i | ||||
\(26\) | −1.71802 | − | 1.10411i | −0.336932 | − | 0.216533i | ||||
\(27\) | −0.711574 | + | 4.94911i | −0.136943 | + | 0.952456i | ||||
\(28\) | −2.13843 | + | 4.68251i | −0.404125 | + | 0.884911i | ||||
\(29\) | −0.951362 | − | 6.61687i | −0.176664 | − | 1.22872i | −0.864416 | − | 0.502777i | \(-0.832312\pi\) |
0.687753 | − | 0.725945i | \(-0.258597\pi\) | |||||||
\(30\) | 2.30075 | + | 0.675560i | 0.420057 | + | 0.123340i | ||||
\(31\) | −8.68043 | + | 5.57857i | −1.55905 | + | 1.00194i | −0.576250 | + | 0.817273i | \(0.695485\pi\) |
−0.982801 | + | 0.184668i | \(0.940879\pi\) | |||||||
\(32\) | 0.934499 | + | 2.04627i | 0.165198 | + | 0.361732i | ||||
\(33\) | −2.18463 | + | 0.641465i | −0.380295 | + | 0.111665i | ||||
\(34\) | 6.41080 | − | 7.39846i | 1.09944 | − | 1.26883i | ||||
\(35\) | −0.898983 | + | 1.03748i | −0.151956 | + | 0.175366i | ||||
\(36\) | 7.19584 | − | 2.11289i | 1.19931 | − | 0.352148i | ||||
\(37\) | 4.36764 | + | 9.56379i | 0.718035 | + | 1.57228i | 0.816637 | + | 0.577151i | \(0.195836\pi\) |
−0.0986020 | + | 0.995127i | \(0.531437\pi\) | |||||||
\(38\) | 5.44986 | − | 3.50241i | 0.884084 | − | 0.568166i | ||||
\(39\) | 0.817178 | + | 0.239945i | 0.130853 | + | 0.0384220i | ||||
\(40\) | −0.597131 | − | 4.15314i | −0.0944147 | − | 0.656669i | ||||
\(41\) | 2.86653 | − | 6.27683i | 0.447677 | − | 0.980276i | −0.542448 | − | 0.840089i | \(-0.682502\pi\) |
0.990125 | − | 0.140187i | \(-0.0447703\pi\) | |||||||
\(42\) | 0.468468 | − | 3.25827i | 0.0722862 | − | 0.502761i | ||||
\(43\) | 5.91232 | + | 3.79962i | 0.901620 | + | 0.579436i | 0.907270 | − | 0.420548i | \(-0.138162\pi\) |
−0.00564997 | + | 0.999984i | \(0.501798\pi\) | |||||||
\(44\) | 5.59107 | + | 6.45244i | 0.842885 | + | 0.972742i | ||||
\(45\) | 2.00000 | 0.298142 | ||||||||
\(46\) | −10.9902 | + | 3.38549i | −1.62041 | + | 0.499164i | ||||
\(47\) | −8.71406 | −1.27108 | −0.635538 | − | 0.772070i | \(-0.719222\pi\) | ||||
−0.635538 | + | 0.772070i | \(0.719222\pi\) | |||||||
\(48\) | 1.67742 | + | 1.93584i | 0.242114 | + | 0.279415i | ||||
\(49\) | −4.30340 | − | 2.76563i | −0.614771 | − | 0.395089i | ||||
\(50\) | 0.341254 | − | 2.37347i | 0.0482605 | − | 0.335659i | ||||
\(51\) | −1.69597 | + | 3.71366i | −0.237484 | + | 0.520016i | ||||
\(52\) | −0.454501 | − | 3.16113i | −0.0630280 | − | 0.438369i | ||||
\(53\) | −6.55432 | − | 1.92452i | −0.900305 | − | 0.264353i | −0.201350 | − | 0.979519i | \(-0.564533\pi\) |
−0.698955 | + | 0.715166i | \(0.746351\pi\) | |||||||
\(54\) | −10.0861 | + | 6.48195i | −1.37255 | + | 0.882082i | ||||
\(55\) | 0.945841 | + | 2.07110i | 0.127537 | + | 0.279267i | ||||
\(56\) | −5.52667 | + | 1.62278i | −0.738533 | + | 0.216853i | ||||
\(57\) | −1.76921 | + | 2.04178i | −0.234338 | + | 0.270441i | ||||
\(58\) | 10.4972 | − | 12.1144i | 1.37834 | − | 1.59069i | ||||
\(59\) | −2.60598 | + | 0.765186i | −0.339270 | + | 0.0996187i | −0.446930 | − | 0.894569i | \(-0.647483\pi\) |
0.107660 | + | 0.994188i | \(0.465664\pi\) | |||||||
\(60\) | 1.55773 | + | 3.41095i | 0.201102 | + | 0.440352i | ||||
\(61\) | 0.764538 | − | 0.491338i | 0.0978890 | − | 0.0629094i | −0.490781 | − | 0.871283i | \(-0.663288\pi\) |
0.588670 | + | 0.808374i | \(0.299652\pi\) | |||||||
\(62\) | −23.7401 | − | 6.97073i | −3.01500 | − | 0.885284i | ||||
\(63\) | −0.390736 | − | 2.71763i | −0.0492280 | − | 0.342389i | ||||
\(64\) | −4.36897 | + | 9.56672i | −0.546122 | + | 1.19584i | ||||
\(65\) | 0.121206 | − | 0.843008i | 0.0150338 | − | 0.104562i | ||||
\(66\) | −4.59293 | − | 2.95170i | −0.565351 | − | 0.363329i | ||||
\(67\) | 6.49469 | + | 7.49528i | 0.793453 | + | 0.915694i | 0.998003 | − | 0.0631624i | \(-0.0201186\pi\) |
−0.204550 | + | 0.978856i | \(0.565573\pi\) | |||||||
\(68\) | 15.3090 | 1.85649 | ||||||||
\(69\) | 3.99987 | − | 2.64594i | 0.481528 | − | 0.318534i | ||||
\(70\) | −3.29177 | −0.393442 | ||||||||
\(71\) | −1.29740 | − | 1.49728i | −0.153973 | − | 0.177694i | 0.673522 | − | 0.739167i | \(-0.264781\pi\) |
−0.827495 | + | 0.561472i | \(0.810235\pi\) | |||||||
\(72\) | 7.05954 | + | 4.53689i | 0.831974 | + | 0.534678i | ||||
\(73\) | 1.15457 | − | 8.03022i | 0.135132 | − | 0.939866i | −0.803588 | − | 0.595186i | \(-0.797078\pi\) |
0.938720 | − | 0.344680i | \(-0.112013\pi\) | |||||||
\(74\) | −10.4731 | + | 22.9328i | −1.21747 | + | 2.66588i | ||||
\(75\) | 0.142315 | + | 0.989821i | 0.0164331 | + | 0.114295i | ||||
\(76\) | 9.72038 | + | 2.85416i | 1.11500 | + | 0.327395i | ||||
\(77\) | 2.62945 | − | 1.68985i | 0.299654 | − | 0.192576i | ||||
\(78\) | 0.848368 | + | 1.85767i | 0.0960587 | + | 0.210339i | ||||
\(79\) | 14.1009 | − | 4.14039i | 1.58647 | − | 0.465830i | 0.634730 | − | 0.772734i | \(-0.281111\pi\) |
0.951741 | + | 0.306904i | \(0.0992929\pi\) | |||||||
\(80\) | 1.67742 | − | 1.93584i | 0.187541 | − | 0.216434i | ||||
\(81\) | −0.654861 | + | 0.755750i | −0.0727623 | + | 0.0839722i | ||||
\(82\) | 15.8761 | − | 4.66164i | 1.75322 | − | 0.514792i | ||||
\(83\) | −0.727055 | − | 1.59203i | −0.0798047 | − | 0.174748i | 0.865524 | − | 0.500868i | \(-0.166986\pi\) |
−0.945328 | + | 0.326120i | \(0.894259\pi\) | |||||||
\(84\) | 4.33052 | − | 2.78305i | 0.472498 | − | 0.303656i | ||||
\(85\) | 3.91722 | + | 1.15020i | 0.424882 | + | 0.124757i | ||||
\(86\) | 2.39833 | + | 16.6807i | 0.258618 | + | 1.79873i | ||||
\(87\) | −2.77701 | + | 6.08081i | −0.297727 | + | 0.651931i | ||||
\(88\) | −1.35958 | + | 9.45610i | −0.144932 | + | 1.00802i | ||||
\(89\) | 4.47262 | + | 2.87438i | 0.474096 | + | 0.304683i | 0.755782 | − | 0.654824i | \(-0.227257\pi\) |
−0.281685 | + | 0.959507i | \(0.590893\pi\) | |||||||
\(90\) | 3.14055 | + | 3.62439i | 0.331043 | + | 0.382044i | ||||
\(91\) | −1.16917 | −0.122562 | ||||||||
\(92\) | −15.2559 | − | 9.52171i | −1.59054 | − | 0.992707i | ||||
\(93\) | 10.3184 | 1.06997 | ||||||||
\(94\) | −13.6835 | − | 15.7916i | −1.41134 | − | 1.62878i | ||||
\(95\) | 2.27279 | + | 1.46063i | 0.233183 | + | 0.149858i | ||||
\(96\) | 0.320145 | − | 2.22666i | 0.0326747 | − | 0.227257i | ||||
\(97\) | 4.52967 | − | 9.91860i | 0.459918 | − | 1.00708i | −0.527588 | − | 0.849501i | \(-0.676903\pi\) |
0.987506 | − | 0.157580i | \(-0.0503693\pi\) | |||||||
\(98\) | −1.74567 | − | 12.1414i | −0.176339 | − | 1.22647i | ||||
\(99\) | −4.36926 | − | 1.28293i | −0.439127 | − | 0.128939i | ||||
\(100\) | 3.15455 | − | 2.02730i | 0.315455 | − | 0.202730i | ||||
\(101\) | 4.32298 | + | 9.46600i | 0.430152 | + | 0.941902i | 0.993302 | + | 0.115547i | \(0.0368622\pi\) |
−0.563150 | + | 0.826355i | \(0.690411\pi\) | |||||||
\(102\) | −9.39302 | + | 2.75804i | −0.930048 | + | 0.273087i | ||||
\(103\) | −8.32837 | + | 9.61145i | −0.820619 | + | 0.947045i | −0.999320 | − | 0.0368586i | \(-0.988265\pi\) |
0.178702 | + | 0.983903i | \(0.442810\pi\) | |||||||
\(104\) | 2.34015 | − | 2.70067i | 0.229470 | − | 0.264823i | ||||
\(105\) | 1.31718 | − | 0.386758i | 0.128543 | − | 0.0377438i | ||||
\(106\) | −6.80448 | − | 14.8997i | −0.660910 | − | 1.44719i | ||||
\(107\) | 9.55833 | − | 6.14277i | 0.924039 | − | 0.593844i | 0.0102120 | − | 0.999948i | \(-0.496749\pi\) |
0.913827 | + | 0.406104i | \(0.133113\pi\) | |||||||
\(108\) | −17.9896 | − | 5.28223i | −1.73105 | − | 0.508282i | ||||
\(109\) | −0.608596 | − | 4.23288i | −0.0582930 | − | 0.405436i | −0.997987 | − | 0.0634200i | \(-0.979799\pi\) |
0.939694 | − | 0.342016i | \(-0.111110\pi\) | |||||||
\(110\) | −2.26801 | + | 4.96625i | −0.216246 | + | 0.473513i | ||||
\(111\) | 1.49629 | − | 10.4069i | 0.142021 | − | 0.987779i | ||||
\(112\) | −2.95816 | − | 1.90110i | −0.279520 | − | 0.179637i | ||||
\(113\) | 1.61271 | + | 1.86116i | 0.151711 | + | 0.175084i | 0.826518 | − | 0.562911i | \(-0.190319\pi\) |
−0.674807 | + | 0.737994i | \(0.735773\pi\) | |||||||
\(114\) | −6.47826 | −0.606745 | ||||||||
\(115\) | −3.18825 | − | 3.58260i | −0.297306 | − | 0.334079i | ||||
\(116\) | 25.0672 | 2.32743 | ||||||||
\(117\) | 1.11546 | + | 1.28731i | 0.103124 | + | 0.119012i | ||||
\(118\) | −5.47878 | − | 3.52100i | −0.504362 | − | 0.324134i | ||||
\(119\) | 0.797608 | − | 5.54748i | 0.0731166 | − | 0.508537i | ||||
\(120\) | −1.74302 | + | 3.81667i | −0.159115 | + | 0.348413i | ||||
\(121\) | 0.827691 | + | 5.75672i | 0.0752447 | + | 0.523338i | ||||
\(122\) | 2.09094 | + | 0.613954i | 0.189304 | + | 0.0555848i | ||||
\(123\) | −5.80499 | + | 3.73064i | −0.523418 | + | 0.336381i | ||||
\(124\) | −16.0734 | − | 35.1957i | −1.44343 | − | 3.16067i | ||||
\(125\) | 0.959493 | − | 0.281733i | 0.0858197 | − | 0.0251989i | ||||
\(126\) | 4.31130 | − | 4.97551i | 0.384081 | − | 0.443254i | ||||
\(127\) | −4.90692 | + | 5.66288i | −0.435418 | + | 0.502500i | −0.930472 | − | 0.366363i | \(-0.880603\pi\) |
0.495054 | + | 0.868862i | \(0.335148\pi\) | |||||||
\(128\) | −19.8804 | + | 5.83741i | −1.75719 | + | 0.515959i | ||||
\(129\) | −2.91953 | − | 6.39288i | −0.257050 | − | 0.562862i | ||||
\(130\) | 1.71802 | − | 1.10411i | 0.150681 | − | 0.0968365i | ||||
\(131\) | −0.778878 | − | 0.228699i | −0.0680509 | − | 0.0199816i | 0.247530 | − | 0.968880i | \(-0.420381\pi\) |
−0.315581 | + | 0.948899i | \(0.602199\pi\) | |||||||
\(132\) | −1.21506 | − | 8.45090i | −0.105757 | − | 0.735556i | ||||
\(133\) | 1.54069 | − | 3.37365i | 0.133595 | − | 0.292533i | ||||
\(134\) | −3.38444 | + | 23.5393i | −0.292371 | + | 2.03349i | ||||
\(135\) | −4.20627 | − | 2.70320i | −0.362018 | − | 0.232655i | ||||
\(136\) | 11.2177 | + | 12.9459i | 0.961912 | + | 1.11011i | ||||
\(137\) | −12.2439 | −1.04607 | −0.523034 | − | 0.852312i | \(-0.675200\pi\) | ||||
−0.523034 | + | 0.852312i | \(0.675200\pi\) | |||||||
\(138\) | 11.0759 | + | 3.09369i | 0.942841 | + | 0.263352i | ||||
\(139\) | 17.2791 | 1.46559 | 0.732795 | − | 0.680449i | \(-0.238215\pi\) | ||||
0.732795 | + | 0.680449i | \(0.238215\pi\) | |||||||
\(140\) | −3.37102 | − | 3.89037i | −0.284903 | − | 0.328796i | ||||
\(141\) | 7.33073 | + | 4.71117i | 0.617359 | + | 0.396752i | ||||
\(142\) | 0.676087 | − | 4.70229i | 0.0567359 | − | 0.394607i | ||||
\(143\) | −0.805551 | + | 1.76391i | −0.0673636 | + | 0.147506i | ||||
\(144\) | 0.729075 | + | 5.07083i | 0.0607563 | + | 0.422569i | ||||
\(145\) | 6.41413 | + | 1.88336i | 0.532664 | + | 0.156404i | ||||
\(146\) | 16.3653 | − | 10.5174i | 1.35440 | − | 0.870422i | ||||
\(147\) | 2.12504 | + | 4.65319i | 0.175270 | + | 0.383788i | ||||
\(148\) | −37.8282 | + | 11.1074i | −3.10946 | + | 0.913021i | ||||
\(149\) | 9.28868 | − | 10.7197i | 0.760958 | − | 0.878193i | −0.234624 | − | 0.972086i | \(-0.575386\pi\) |
0.995582 | + | 0.0938936i | \(0.0299314\pi\) | |||||||
\(150\) | −1.57028 | + | 1.81219i | −0.128212 | + | 0.147965i | ||||
\(151\) | 9.03415 | − | 2.65266i | 0.735188 | − | 0.215871i | 0.107357 | − | 0.994220i | \(-0.465761\pi\) |
0.627831 | + | 0.778350i | \(0.283943\pi\) | |||||||
\(152\) | 4.70905 | + | 10.3114i | 0.381954 | + | 0.836363i | ||||
\(153\) | −6.86900 | + | 4.41444i | −0.555326 | + | 0.356886i | ||||
\(154\) | 7.19130 | + | 2.11156i | 0.579492 | + | 0.170154i | ||||
\(155\) | −1.46847 | − | 10.2134i | −0.117950 | − | 0.820362i | ||||
\(156\) | −1.32668 | + | 2.90503i | −0.106220 | + | 0.232589i | ||||
\(157\) | 2.10172 | − | 14.6178i | 0.167735 | − | 1.16663i | −0.715815 | − | 0.698290i | \(-0.753945\pi\) |
0.883551 | − | 0.468336i | \(-0.155146\pi\) | |||||||
\(158\) | 29.6454 | + | 19.0520i | 2.35846 | + | 1.51569i | ||||
\(159\) | 4.47337 | + | 5.16254i | 0.354761 | + | 0.409416i | ||||
\(160\) | −2.24955 | −0.177843 | ||||||||
\(161\) | −4.24520 | + | 5.03216i | −0.334569 | + | 0.396590i | ||||
\(162\) | −2.39788 | −0.188395 | ||||||||
\(163\) | 3.95116 | + | 4.55988i | 0.309478 | + | 0.357157i | 0.889087 | − | 0.457738i | \(-0.151340\pi\) |
−0.579609 | + | 0.814895i | \(0.696795\pi\) | |||||||
\(164\) | 21.7676 | + | 13.9892i | 1.69977 | + | 1.09237i | ||||
\(165\) | 0.324031 | − | 2.25368i | 0.0252258 | − | 0.175449i | ||||
\(166\) | 1.74339 | − | 3.81749i | 0.135313 | − | 0.296295i | ||||
\(167\) | −0.396910 | − | 2.76057i | −0.0307138 | − | 0.213619i | 0.968685 | − | 0.248293i | \(-0.0798697\pi\) |
−0.999399 | + | 0.0346742i | \(0.988961\pi\) | |||||||
\(168\) | 5.52667 | + | 1.62278i | 0.426392 | + | 0.125200i | ||||
\(169\) | −10.3261 | + | 6.63617i | −0.794315 | + | 0.510475i | ||||
\(170\) | 4.06673 | + | 8.90490i | 0.311904 | + | 0.682975i | ||||
\(171\) | −5.18446 | + | 1.52229i | −0.396465 | + | 0.116413i | ||||
\(172\) | −17.2580 | + | 19.9168i | −1.31591 | + | 1.51864i | ||||
\(173\) | −10.0300 | + | 11.5753i | −0.762570 | + | 0.880053i | −0.995723 | − | 0.0923874i | \(-0.970550\pi\) |
0.233153 | + | 0.972440i | \(0.425096\pi\) | |||||||
\(174\) | −15.3803 | + | 4.51606i | −1.16598 | + | 0.342362i | ||||
\(175\) | −0.570276 | − | 1.24873i | −0.0431088 | − | 0.0943951i | ||||
\(176\) | −4.90631 | + | 3.15310i | −0.369827 | + | 0.237674i | ||||
\(177\) | 2.60598 | + | 0.765186i | 0.195878 | + | 0.0575149i | ||||
\(178\) | 1.81431 | + | 12.6188i | 0.135988 | + | 0.945820i | ||||
\(179\) | −5.37512 | + | 11.7699i | −0.401755 | + | 0.879721i | 0.595334 | + | 0.803478i | \(0.297020\pi\) |
−0.997089 | + | 0.0762427i | \(0.975708\pi\) | |||||||
\(180\) | −1.06731 | + | 7.42330i | −0.0795525 | + | 0.553300i | ||||
\(181\) | 13.0593 | + | 8.39272i | 0.970692 | + | 0.623826i | 0.926937 | − | 0.375217i | \(-0.122432\pi\) |
0.0437545 | + | 0.999042i | \(0.486068\pi\) | |||||||
\(182\) | −1.83592 | − | 2.11876i | −0.136087 | − | 0.157053i | ||||
\(183\) | −0.908807 | −0.0671810 | ||||||||
\(184\) | −3.12686 | − | 19.8781i | −0.230515 | − | 1.46544i | ||||
\(185\) | −10.5139 | −0.772998 | ||||||||
\(186\) | 16.2028 | + | 18.6990i | 1.18805 | + | 1.37108i | ||||
\(187\) | −7.81987 | − | 5.02552i | −0.571845 | − | 0.367503i | ||||
\(188\) | 4.65029 | − | 32.3435i | 0.339158 | − | 2.35889i | ||||
\(189\) | −2.85138 | + | 6.24365i | −0.207407 | + | 0.454159i | ||||
\(190\) | 0.921953 | + | 6.41232i | 0.0668855 | + | 0.465199i | ||||
\(191\) | −17.6968 | − | 5.19625i | −1.28050 | − | 0.375987i | −0.430411 | − | 0.902633i | \(-0.641631\pi\) |
−0.850085 | + | 0.526646i | \(0.823449\pi\) | |||||||
\(192\) | 8.84757 | − | 5.68599i | 0.638519 | − | 0.410351i | ||||
\(193\) | −3.16959 | − | 6.94043i | −0.228152 | − | 0.499583i | 0.760587 | − | 0.649237i | \(-0.224911\pi\) |
−0.988739 | + | 0.149653i | \(0.952184\pi\) | |||||||
\(194\) | 25.0873 | − | 7.36628i | 1.80116 | − | 0.528868i | ||||
\(195\) | −0.557730 | + | 0.643655i | −0.0399399 | + | 0.0460931i | ||||
\(196\) | 12.5616 | − | 14.4968i | 0.897254 | − | 1.03549i | ||||
\(197\) | 10.6614 | − | 3.13046i | 0.759590 | − | 0.223036i | 0.121073 | − | 0.992644i | \(-0.461366\pi\) |
0.638517 | + | 0.769608i | \(0.279548\pi\) | |||||||
\(198\) | −4.53602 | − | 9.93250i | −0.322361 | − | 0.705872i | ||||
\(199\) | −11.6074 | + | 7.45964i | −0.822828 | + | 0.528800i | −0.882992 | − | 0.469389i | \(-0.844474\pi\) |
0.0601633 | + | 0.998189i | \(0.480838\pi\) | |||||||
\(200\) | 4.02588 | + | 1.18211i | 0.284673 | + | 0.0835875i | ||||
\(201\) | −1.41143 | − | 9.81672i | −0.0995547 | − | 0.692418i | ||||
\(202\) | −10.3660 | + | 22.6983i | −0.729347 | + | 1.59705i | ||||
\(203\) | 1.30602 | − | 9.08355i | 0.0916644 | − | 0.637540i | ||||
\(204\) | −12.8787 | − | 8.27666i | −0.901692 | − | 0.579482i | ||||
\(205\) | 4.51881 | + | 5.21498i | 0.315607 | + | 0.364230i | ||||
\(206\) | −30.4957 | −2.12473 | ||||||||
\(207\) | 9.59082 | − | 0.126832i | 0.666608 | − | 0.00881541i | ||||
\(208\) | 2.18156 | 0.151264 | ||||||||
\(209\) | −4.02825 | − | 4.64885i | −0.278640 | − | 0.321568i | ||||
\(210\) | 2.76921 | + | 1.77967i | 0.191094 | + | 0.122809i | ||||
\(211\) | −0.279793 | + | 1.94601i | −0.0192618 | + | 0.133969i | −0.997183 | − | 0.0750043i | \(-0.976103\pi\) |
0.977921 | + | 0.208973i | \(0.0670120\pi\) | |||||||
\(212\) | 10.6409 | − | 23.3003i | 0.730819 | − | 1.60027i | ||||
\(213\) | 0.281952 | + | 1.96102i | 0.0193190 | + | 0.134367i | ||||
\(214\) | 26.1411 | + | 7.67572i | 1.78697 | + | 0.524702i | ||||
\(215\) | −5.91232 | + | 3.79962i | −0.403217 | + | 0.259132i | ||||
\(216\) | −8.71508 | − | 19.0834i | −0.592986 | − | 1.29846i | ||||
\(217\) | −13.5912 | + | 3.99075i | −0.922633 | + | 0.270909i | ||||
\(218\) | 6.71514 | − | 7.74968i | 0.454807 | − | 0.524875i | ||||
\(219\) | −5.31275 | + | 6.13124i | −0.359003 | + | 0.414311i | ||||
\(220\) | −8.19196 | + | 2.40538i | −0.552302 | + | 0.162170i | ||||
\(221\) | 1.44442 | + | 3.16284i | 0.0971622 | + | 0.212756i | ||||
\(222\) | 21.2089 | − | 13.6301i | 1.42345 | − | 0.914795i | ||||
\(223\) | 17.0728 | + | 5.01302i | 1.14328 | + | 0.335697i | 0.797913 | − | 0.602772i | \(-0.205937\pi\) |
0.345364 | + | 0.938469i | \(0.387755\pi\) | |||||||
\(224\) | 0.439490 | + | 3.05672i | 0.0293647 | + | 0.204236i | ||||
\(225\) | −0.830830 | + | 1.81926i | −0.0553887 | + | 0.121284i | ||||
\(226\) | −0.840396 | + | 5.84508i | −0.0559023 | + | 0.388809i | ||||
\(227\) | −5.64953 | − | 3.63073i | −0.374972 | − | 0.240980i | 0.339557 | − | 0.940585i | \(-0.389723\pi\) |
−0.714529 | + | 0.699605i | \(0.753359\pi\) | |||||||
\(228\) | −6.63423 | − | 7.65631i | −0.439363 | − | 0.507051i | ||||
\(229\) | −22.1302 | −1.46240 | −0.731201 | − | 0.682162i | \(-0.761040\pi\) | ||||
−0.731201 | + | 0.682162i | \(0.761040\pi\) | |||||||
\(230\) | 1.48594 | − | 11.4034i | 0.0979797 | − | 0.751919i | ||||
\(231\) | −3.12564 | −0.205652 | ||||||||
\(232\) | 18.3681 | + | 21.1979i | 1.20592 | + | 1.39171i | ||||
\(233\) | −13.5862 | − | 8.73132i | −0.890062 | − | 0.572008i | 0.0137656 | − | 0.999905i | \(-0.495618\pi\) |
−0.903827 | + | 0.427897i | \(0.859255\pi\) | |||||||
\(234\) | −0.581276 | + | 4.04286i | −0.0379992 | + | 0.264290i | ||||
\(235\) | 3.61995 | − | 7.92658i | 0.236139 | − | 0.517073i | ||||
\(236\) | −1.44941 | − | 10.0808i | −0.0943483 | − | 0.656207i | ||||
\(237\) | −14.1009 | − | 4.14039i | −0.915950 | − | 0.268947i | ||||
\(238\) | 11.3056 | − | 7.26566i | 0.732832 | − | 0.470963i | ||||
\(239\) | −2.98866 | − | 6.54426i | −0.193320 | − | 0.423313i | 0.788005 | − | 0.615669i | \(-0.211114\pi\) |
−0.981325 | + | 0.192356i | \(0.938387\pi\) | |||||||
\(240\) | −2.45773 | + | 0.721655i | −0.158646 | + | 0.0465826i | ||||
\(241\) | −12.2335 | + | 14.1182i | −0.788027 | + | 0.909432i | −0.997662 | − | 0.0683477i | \(-0.978227\pi\) |
0.209634 | + | 0.977780i | \(0.432773\pi\) | |||||||
\(242\) | −9.13259 | + | 10.5396i | −0.587065 | + | 0.677509i | ||||
\(243\) | 15.3519 | − | 4.50772i | 0.984824 | − | 0.289170i | ||||
\(244\) | 1.41568 | + | 3.09990i | 0.0906294 | + | 0.198451i | ||||
\(245\) | 4.30340 | − | 2.76563i | 0.274934 | − | 0.176689i | ||||
\(246\) | −15.8761 | − | 4.66164i | −1.01222 | − | 0.297215i | ||||
\(247\) | 0.327459 | + | 2.27753i | 0.0208357 | + | 0.144916i | ||||
\(248\) | 17.9852 | − | 39.3821i | 1.14206 | − | 2.50077i | ||||
\(249\) | −0.249078 | + | 1.73238i | −0.0157847 | + | 0.109785i | ||||
\(250\) | 2.01722 | + | 1.29639i | 0.127580 | + | 0.0819909i | ||||
\(251\) | 0.611145 | + | 0.705299i | 0.0385751 | + | 0.0445181i | 0.774709 | − | 0.632318i | \(-0.217896\pi\) |
−0.736134 | + | 0.676836i | \(0.763351\pi\) | |||||||
\(252\) | 10.2954 | 0.648548 | ||||||||
\(253\) | 4.66704 | + | 9.87181i | 0.293414 | + | 0.620635i | ||||
\(254\) | −17.9675 | −1.12738 | ||||||||
\(255\) | −2.67353 | − | 3.08542i | −0.167423 | − | 0.193217i | ||||
\(256\) | −24.1011 | − | 15.4888i | −1.50632 | − | 0.968051i | ||||
\(257\) | 1.86011 | − | 12.9374i | 0.116031 | − | 0.807011i | −0.845826 | − | 0.533458i | \(-0.820892\pi\) |
0.961857 | − | 0.273553i | \(-0.0881988\pi\) | |||||||
\(258\) | 7.00068 | − | 15.3294i | 0.435843 | − | 0.954364i | ||||
\(259\) | 2.05408 | + | 14.2864i | 0.127634 | + | 0.887716i | ||||
\(260\) | 3.06427 | + | 0.899750i | 0.190038 | + | 0.0558001i | ||||
\(261\) | −11.2474 | + | 7.22827i | −0.696198 | + | 0.447419i | ||||
\(262\) | −0.808606 | − | 1.77060i | −0.0499559 | − | 0.109388i | ||||
\(263\) | −2.56657 | + | 0.753613i | −0.158262 | + | 0.0464698i | −0.359904 | − | 0.932990i | \(-0.617190\pi\) |
0.201642 | + | 0.979459i | \(0.435372\pi\) | |||||||
\(264\) | 6.25611 | − | 7.21993i | 0.385037 | − | 0.444356i | ||||
\(265\) | 4.47337 | − | 5.16254i | 0.274797 | − | 0.317133i | ||||
\(266\) | 8.53302 | − | 2.50552i | 0.523193 | − | 0.153623i | ||||
\(267\) | −2.20860 | − | 4.83616i | −0.135164 | − | 0.295968i | ||||
\(268\) | −31.2857 | + | 20.1061i | −1.91108 | + | 1.22818i | ||||
\(269\) | 30.9014 | + | 9.07347i | 1.88409 | + | 0.553219i | 0.995528 | + | 0.0944681i | \(0.0301150\pi\) |
0.888565 | + | 0.458751i | \(0.151703\pi\) | |||||||
\(270\) | −1.70627 | − | 11.8674i | −0.103840 | − | 0.722224i | ||||
\(271\) | −2.34923 | + | 5.14409i | −0.142705 | + | 0.312481i | −0.967466 | − | 0.253001i | \(-0.918582\pi\) |
0.824761 | + | 0.565482i | \(0.191310\pi\) | |||||||
\(272\) | −1.48826 | + | 10.3511i | −0.0902390 | + | 0.627626i | ||||
\(273\) | 0.983568 | + | 0.632101i | 0.0595283 | + | 0.0382565i | ||||
\(274\) | −19.2263 | − | 22.1883i | −1.16150 | − | 1.34045i | ||||
\(275\) | −2.27686 | −0.137300 | ||||||||
\(276\) | 7.68627 | + | 16.2581i | 0.462659 | + | 0.978625i | ||||
\(277\) | −25.9793 | −1.56095 | −0.780473 | − | 0.625189i | \(-0.785022\pi\) | ||||
−0.780473 | + | 0.625189i | \(0.785022\pi\) | |||||||
\(278\) | 27.1329 | + | 31.3130i | 1.62732 | + | 1.87803i | ||||
\(279\) | 17.3609 | + | 11.1571i | 1.03937 | + | 0.667961i | ||||
\(280\) | 0.819733 | − | 5.70137i | 0.0489884 | − | 0.340722i | ||||
\(281\) | 12.1690 | − | 26.6463i | 0.725940 | − | 1.58959i | −0.0794493 | − | 0.996839i | \(-0.525316\pi\) |
0.805389 | − | 0.592747i | \(-0.201957\pi\) | |||||||
\(282\) | 2.97370 | + | 20.6826i | 0.177081 | + | 1.23163i | ||||
\(283\) | −3.38658 | − | 0.994391i | −0.201312 | − | 0.0591104i | 0.179522 | − | 0.983754i | \(-0.442545\pi\) |
−0.380834 | + | 0.924644i | \(0.624363\pi\) | |||||||
\(284\) | 6.24974 | − | 4.01646i | 0.370854 | − | 0.238333i | ||||
\(285\) | −1.12231 | − | 2.45752i | −0.0664800 | − | 0.145571i | ||||
\(286\) | −4.46149 | + | 1.31001i | −0.263813 | + | 0.0774626i | ||||
\(287\) | 6.20335 | − | 7.15905i | 0.366172 | − | 0.422585i | ||||
\(288\) | 2.94629 | − | 3.40020i | 0.173612 | − | 0.200359i | ||||
\(289\) | 0.318941 | − | 0.0936497i | 0.0187613 | − | 0.00550880i | ||||
\(290\) | 6.65894 | + | 14.5810i | 0.391026 | + | 0.856228i | ||||
\(291\) | −9.17300 | + | 5.89513i | −0.537731 | + | 0.345579i | ||||
\(292\) | 29.1892 | + | 8.57073i | 1.70817 | + | 0.501564i | ||||
\(293\) | 3.35152 | + | 23.3104i | 0.195798 | + | 1.36181i | 0.816312 | + | 0.577611i | \(0.196015\pi\) |
−0.620514 | + | 0.784195i | \(0.713076\pi\) | |||||||
\(294\) | −5.09558 | + | 11.1578i | −0.297180 | + | 0.650734i | ||||
\(295\) | 0.386527 | − | 2.68835i | 0.0225045 | − | 0.156522i | ||||
\(296\) | −37.1117 | − | 23.8502i | −2.15707 | − | 1.38627i | ||||
\(297\) | 7.45513 | + | 8.60367i | 0.432590 | + | 0.499236i | ||||
\(298\) | 34.0120 | 1.97026 | ||||||||
\(299\) | 0.527774 | − | 4.05026i | 0.0305220 | − | 0.234232i | ||||
\(300\) | −3.74982 | −0.216496 | ||||||||
\(301\) | 6.31805 | + | 7.29141i | 0.364166 | + | 0.420270i | ||||
\(302\) | 18.9932 | + | 12.2062i | 1.09294 | + | 0.702389i | ||||
\(303\) | 1.48099 | − | 10.3005i | 0.0850804 | − | 0.591747i | ||||
\(304\) | −2.87479 | + | 6.29491i | −0.164880 | + | 0.361038i | ||||
\(305\) | 0.129337 | + | 0.899557i | 0.00740580 | + | 0.0515085i | ||||
\(306\) | −18.7860 | − | 5.51608i | −1.07393 | − | 0.315333i | ||||
\(307\) | −2.75476 | + | 1.77038i | −0.157223 | + | 0.101041i | −0.616886 | − | 0.787052i | \(-0.711606\pi\) |
0.459664 | + | 0.888093i | \(0.347970\pi\) | |||||||
\(308\) | 4.86890 | + | 10.6614i | 0.277431 | + | 0.607490i | ||||
\(309\) | 12.2026 | − | 3.58301i | 0.694183 | − | 0.203830i | ||||
\(310\) | 16.2028 | − | 18.6990i | 0.920257 | − | 1.06203i | ||||
\(311\) | 14.6980 | − | 16.9624i | 0.833448 | − | 0.961850i | −0.166259 | − | 0.986082i | \(-0.553169\pi\) |
0.999706 | + | 0.0242323i | \(0.00771414\pi\) | |||||||
\(312\) | −3.42875 | + | 1.00677i | −0.194115 | + | 0.0569973i | ||||
\(313\) | 4.98954 | + | 10.9256i | 0.282026 | + | 0.617550i | 0.996634 | − | 0.0819743i | \(-0.0261225\pi\) |
−0.714609 | + | 0.699524i | \(0.753395\pi\) | |||||||
\(314\) | 29.7905 | − | 19.1452i | 1.68118 | − | 1.08043i | ||||
\(315\) | 2.63436 | + | 0.773517i | 0.148429 | + | 0.0435827i | ||||
\(316\) | 7.84267 | + | 54.5470i | 0.441185 | + | 3.06851i | ||||
\(317\) | 11.8650 | − | 25.9807i | 0.666405 | − | 1.45922i | −0.210026 | − | 0.977696i | \(-0.567355\pi\) |
0.876431 | − | 0.481528i | \(-0.159918\pi\) | |||||||
\(318\) | −2.33111 | + | 16.2132i | −0.130722 | + | 0.909193i | ||||
\(319\) | −12.8044 | − | 8.22888i | −0.716908 | − | 0.460729i | ||||
\(320\) | −6.88726 | − | 7.94832i | −0.385009 | − | 0.444324i | ||||
\(321\) | −11.3620 | −0.634166 | ||||||||
\(322\) | −15.7854 | + | 0.208750i | −0.879686 | + | 0.0116332i | ||||
\(323\) | −11.0298 | −0.613715 | ||||||||
\(324\) | −2.45561 | − | 2.83392i | −0.136423 | − | 0.157440i | ||||
\(325\) | 0.716476 | + | 0.460451i | 0.0397430 | + | 0.0255412i | ||||
\(326\) | −2.05898 | + | 14.3205i | −0.114036 | + | 0.793141i | ||||
\(327\) | −1.77648 | + | 3.88996i | −0.0982398 | + | 0.215115i | ||||
\(328\) | 4.12045 | + | 28.6583i | 0.227514 | + | 1.58239i | ||||
\(329\) | −11.4780 | − | 3.37023i | −0.632801 | − | 0.185807i | ||||
\(330\) | 4.59293 | − | 2.95170i | 0.252832 | − | 0.162486i | ||||
\(331\) | −11.3489 | − | 24.8506i | −0.623792 | − | 1.36591i | −0.912729 | − | 0.408566i | \(-0.866029\pi\) |
0.288936 | − | 0.957348i | \(-0.406698\pi\) | |||||||
\(332\) | 6.29705 | − | 1.84898i | 0.345595 | − | 0.101476i | ||||
\(333\) | 13.7703 | − | 15.8918i | 0.754608 | − | 0.870864i | ||||
\(334\) | 4.37943 | − | 5.05413i | 0.239632 | − | 0.276550i | ||||
\(335\) | −9.51594 | + | 2.79413i | −0.519911 | + | 0.152660i | ||||
\(336\) | 1.46075 | + | 3.19861i | 0.0796907 | + | 0.174498i | ||||
\(337\) | −9.69442 | + | 6.23022i | −0.528089 | + | 0.339382i | −0.777364 | − | 0.629051i | \(-0.783444\pi\) |
0.249276 | + | 0.968433i | \(0.419807\pi\) | |||||||
\(338\) | −28.2408 | − | 8.29226i | −1.53610 | − | 0.451040i | ||||
\(339\) | −0.350475 | − | 2.43761i | −0.0190352 | − | 0.132393i | ||||
\(340\) | −6.35958 | + | 13.9255i | −0.344897 | + | 0.755219i | ||||
\(341\) | −3.34349 | + | 23.2545i | −0.181060 | + | 1.25930i | ||||
\(342\) | −10.8997 | − | 7.00483i | −0.589389 | − | 0.378778i | ||||
\(343\) | −10.8916 | − | 12.5696i | −0.588091 | − | 0.678693i | ||||
\(344\) | −29.4883 | −1.58991 | ||||||||
\(345\) | 0.745229 | + | 4.73758i | 0.0401218 | + | 0.255063i | ||||
\(346\) | −36.7266 | −1.97443 | ||||||||
\(347\) | 6.91880 | + | 7.98472i | 0.371421 | + | 0.428642i | 0.910434 | − | 0.413655i | \(-0.135748\pi\) |
−0.539013 | + | 0.842297i | \(0.681203\pi\) | |||||||
\(348\) | −21.0879 | − | 13.5524i | −1.13043 | − | 0.726482i | ||||
\(349\) | 0.245733 | − | 1.70911i | 0.0131538 | − | 0.0914865i | −0.982187 | − | 0.187906i | \(-0.939830\pi\) |
0.995341 | + | 0.0964195i | \(0.0307390\pi\) | |||||||
\(350\) | 1.36745 | − | 2.99430i | 0.0730933 | − | 0.160052i | ||||
\(351\) | −0.606031 | − | 4.21504i | −0.0323476 | − | 0.224982i | ||||
\(352\) | 4.91444 | + | 1.44301i | 0.261941 | + | 0.0769127i | ||||
\(353\) | −3.78577 | + | 2.43297i | −0.201496 | + | 0.129494i | −0.637498 | − | 0.770452i | \(-0.720031\pi\) |
0.436002 | + | 0.899946i | \(0.356394\pi\) | |||||||
\(354\) | 2.70545 | + | 5.92410i | 0.143793 | + | 0.314862i | ||||
\(355\) | 1.90093 | − | 0.558165i | 0.100891 | − | 0.0296243i | ||||
\(356\) | −13.0555 | + | 15.0669i | −0.691940 | + | 0.798542i | ||||
\(357\) | −3.67019 | + | 4.23562i | −0.194247 | + | 0.224173i | ||||
\(358\) | −29.7697 | + | 8.74117i | −1.57338 | + | 0.461985i | ||||
\(359\) | 6.27544 | + | 13.7413i | 0.331205 | + | 0.725238i | 0.999831 | − | 0.0183603i | \(-0.00584459\pi\) |
−0.668626 | + | 0.743599i | \(0.733117\pi\) | |||||||
\(360\) | −7.05954 | + | 4.53689i | −0.372070 | + | 0.239115i | ||||
\(361\) | 11.2270 | + | 3.29655i | 0.590896 | + | 0.173503i | ||||
\(362\) | 5.29750 | + | 36.8449i | 0.278430 | + | 1.93653i | ||||
\(363\) | 2.41602 | − | 5.29034i | 0.126808 | − | 0.277671i | ||||
\(364\) | 0.623933 | − | 4.33955i | 0.0327030 | − | 0.227454i | ||||
\(365\) | 6.82492 | + | 4.38611i | 0.357233 | + | 0.229579i | ||||
\(366\) | −1.42708 | − | 1.64694i | −0.0745946 | − | 0.0860867i | ||||
\(367\) | 25.1252 | 1.31152 | 0.655761 | − | 0.754968i | \(-0.272348\pi\) | ||||
0.655761 | + | 0.754968i | \(0.272348\pi\) | |||||||
\(368\) | 7.92115 | − | 9.38954i | 0.412918 | − | 0.489464i | ||||
\(369\) | −13.8008 | −0.718442 | ||||||||
\(370\) | −16.5097 | − | 19.0533i | −0.858301 | − | 0.990532i | ||||
\(371\) | −7.88888 | − | 5.06988i | −0.409570 | − | 0.263215i | ||||
\(372\) | −5.50648 | + | 38.2984i | −0.285498 | + | 1.98568i | ||||
\(373\) | 5.38922 | − | 11.8008i | 0.279043 | − | 0.611020i | −0.717271 | − | 0.696794i | \(-0.754609\pi\) |
0.996315 | + | 0.0857742i | \(0.0273364\pi\) | |||||||
\(374\) | −3.17212 | − | 22.0626i | −0.164026 | − | 1.14083i | ||||
\(375\) | −0.959493 | − | 0.281733i | −0.0495480 | − | 0.0145486i | ||||
\(376\) | 30.7586 | − | 19.7674i | 1.58625 | − | 1.01942i | ||||
\(377\) | 2.36512 | + | 5.17889i | 0.121810 | + | 0.266726i | ||||
\(378\) | −15.7922 | + | 4.63700i | −0.812261 | + | 0.238501i | ||||
\(379\) | 17.9375 | − | 20.7010i | 0.921387 | − | 1.06334i | −0.0764153 | − | 0.997076i | \(-0.524347\pi\) |
0.997802 | − | 0.0662612i | \(-0.0211071\pi\) | |||||||
\(380\) | −6.63423 | + | 7.65631i | −0.340329 | + | 0.392760i | ||||
\(381\) | 7.18955 | − | 2.11104i | 0.368332 | − | 0.108152i | ||||
\(382\) | −18.3722 | − | 40.2296i | −0.940005 | − | 2.05832i | ||||
\(383\) | −0.449205 | + | 0.288687i | −0.0229533 | + | 0.0147512i | −0.552067 | − | 0.833800i | \(-0.686161\pi\) |
0.529114 | + | 0.848551i | \(0.322524\pi\) | |||||||
\(384\) | 19.8804 | + | 5.83741i | 1.01452 | + | 0.297889i | ||||
\(385\) | 0.444825 | + | 3.09382i | 0.0226704 | + | 0.157676i | ||||
\(386\) | 7.60028 | − | 16.6423i | 0.386844 | − | 0.847071i | ||||
\(387\) | 2.00037 | − | 13.9129i | 0.101685 | − | 0.707233i | ||||
\(388\) | 34.3971 | + | 22.1056i | 1.74625 | + | 1.12224i | ||||
\(389\) | 10.3277 | + | 11.9187i | 0.523633 | + | 0.604304i | 0.954537 | − | 0.298093i | \(-0.0963507\pi\) |
−0.430904 | + | 0.902398i | \(0.641805\pi\) | |||||||
\(390\) | −2.04222 | −0.103412 | ||||||||
\(391\) | 18.8576 | + | 5.26727i | 0.953672 | + | 0.266377i | ||||
\(392\) | 21.4637 | 1.08408 | ||||||||
\(393\) | 0.531590 | + | 0.613488i | 0.0268152 | + | 0.0309464i | ||||
\(394\) | 22.4143 | + | 14.4048i | 1.12921 | + | 0.725702i | ||||
\(395\) | −2.09148 | + | 14.5466i | −0.105234 | + | 0.731918i | ||||
\(396\) | 7.09346 | − | 15.5325i | 0.356460 | − | 0.780538i | ||||
\(397\) | −2.12490 | − | 14.7790i | −0.106646 | − | 0.741737i | −0.971039 | − | 0.238921i | \(-0.923206\pi\) |
0.864393 | − | 0.502816i | \(-0.167703\pi\) | |||||||
\(398\) | −31.7452 | − | 9.32122i | −1.59124 | − | 0.467231i | ||||
\(399\) | −3.12005 | + | 2.00513i | −0.156198 | + | 0.100382i | ||||
\(400\) | 1.06408 | + | 2.33001i | 0.0532040 | + | 0.116501i | ||||
\(401\) | 22.4942 | − | 6.60489i | 1.12331 | − | 0.329832i | 0.333232 | − | 0.942845i | \(-0.391861\pi\) |
0.790073 | + | 0.613013i | \(0.210042\pi\) | |||||||
\(402\) | 15.5735 | − | 17.9728i | 0.776735 | − | 0.896399i | ||||
\(403\) | 5.75491 | − | 6.64151i | 0.286672 | − | 0.330837i | ||||
\(404\) | −37.4414 | + | 10.9938i | −1.86278 | + | 0.546962i | ||||
\(405\) | −0.415415 | − | 0.909632i | −0.0206421 | − | 0.0452000i | ||||
\(406\) | 18.5120 | − | 11.8969i | 0.918733 | − | 0.590434i | ||||
\(407\) | 22.9690 | + | 6.74431i | 1.13853 | + | 0.334303i | ||||
\(408\) | −2.43784 | − | 16.9556i | −0.120691 | − | 0.839426i | ||||
\(409\) | −15.0275 | + | 32.9057i | −0.743064 | + | 1.62708i | 0.0353828 | + | 0.999374i | \(0.488735\pi\) |
−0.778447 | + | 0.627710i | \(0.783992\pi\) | |||||||
\(410\) | −2.35479 | + | 16.3779i | −0.116295 | + | 0.808847i | ||||
\(411\) | 10.3002 | + | 6.61955i | 0.508073 | + | 0.326519i | ||||
\(412\) | −31.2299 | − | 36.0412i | −1.53859 | − | 1.77562i | ||||
\(413\) | −3.72849 | −0.183467 | ||||||||
\(414\) | 15.2901 | + | 17.1813i | 0.751467 | + | 0.844414i | ||||
\(415\) | 1.75019 | 0.0859135 | ||||||||
\(416\) | −1.25464 | − | 1.44794i | −0.0615140 | − | 0.0709909i | ||||
\(417\) | −14.5361 | − | 9.34176i | −0.711834 | − | 0.457468i | ||||
\(418\) | 2.09916 | − | 14.5999i | 0.102673 | − | 0.714107i | ||||
\(419\) | −6.10128 | + | 13.3599i | −0.298067 | + | 0.652676i | −0.998112 | − | 0.0614230i | \(-0.980436\pi\) |
0.700045 | + | 0.714099i | \(0.253163\pi\) | |||||||
\(420\) | 0.732593 | + | 5.09530i | 0.0357469 | + | 0.248625i | ||||
\(421\) | 10.6043 | + | 3.11371i | 0.516824 | + | 0.151753i | 0.529734 | − | 0.848164i | \(-0.322292\pi\) |
−0.0129109 | + | 0.999917i | \(0.504110\pi\) | |||||||
\(422\) | −3.96589 | + | 2.54873i | −0.193057 | + | 0.124070i | ||||
\(423\) | 7.23990 | + | 15.8532i | 0.352016 | + | 0.770807i | ||||
\(424\) | 27.5009 | − | 8.07500i | 1.33556 | − | 0.392156i | ||||
\(425\) | −2.67353 | + | 3.08542i | −0.129685 | + | 0.149665i | ||||
\(426\) | −3.11101 | + | 3.59029i | −0.150729 | + | 0.173950i | ||||
\(427\) | 1.19706 | − | 0.351489i | 0.0579299 | − | 0.0170097i | ||||
\(428\) | 17.6989 | + | 38.7553i | 0.855511 | + | 1.87331i | ||||
\(429\) | 1.63131 | − | 1.04838i | 0.0787606 | − | 0.0506164i | ||||
\(430\) | −16.1696 | − | 4.74783i | −0.779768 | − | 0.228961i | ||||
\(431\) | −5.61640 | − | 39.0629i | −0.270533 | − | 1.88160i | −0.442913 | − | 0.896565i | \(-0.646055\pi\) |
0.172380 | − | 0.985030i | \(-0.444854\pi\) | |||||||
\(432\) | 5.32040 | − | 11.6501i | 0.255978 | − | 0.560514i | ||||
\(433\) | 2.02462 | − | 14.0816i | 0.0972972 | − | 0.676717i | −0.881545 | − | 0.472100i | \(-0.843496\pi\) |
0.978842 | − | 0.204617i | \(-0.0655948\pi\) | |||||||
\(434\) | −28.5740 | − | 18.3634i | −1.37160 | − | 0.881471i | ||||
\(435\) | −4.37769 | − | 5.05212i | −0.209894 | − | 0.242231i | ||||
\(436\) | 16.0357 | 0.767973 | ||||||||
\(437\) | 10.9916 | + | 6.86019i | 0.525798 | + | 0.328168i | ||||
\(438\) | −19.4535 | −0.929524 | ||||||||
\(439\) | −0.980571 | − | 1.13164i | −0.0468001 | − | 0.0540102i | 0.731867 | − | 0.681448i | \(-0.238649\pi\) |
−0.778667 | + | 0.627437i | \(0.784104\pi\) | |||||||
\(440\) | −8.03678 | − | 5.16493i | −0.383139 | − | 0.246228i | ||||
\(441\) | −1.45601 | + | 10.1268i | −0.0693339 | + | 0.482228i | ||||
\(442\) | −3.46354 | + | 7.58410i | −0.164744 | + | 0.360739i | ||||
\(443\) | 2.02330 | + | 14.0723i | 0.0961297 | + | 0.668597i | 0.979725 | + | 0.200346i | \(0.0642066\pi\) |
−0.883596 | + | 0.468251i | \(0.844884\pi\) | |||||||
\(444\) | 37.8282 | + | 11.1074i | 1.79525 | + | 0.527133i | ||||
\(445\) | −4.47262 | + | 2.87438i | −0.212022 | + | 0.136258i | ||||
\(446\) | 17.7244 | + | 38.8110i | 0.839275 | + | 1.83776i | ||||
\(447\) | −13.6096 | + | 3.99615i | −0.643714 | + | 0.189012i | ||||
\(448\) | −9.45473 | + | 10.9113i | −0.446694 | + | 0.515512i | ||||
\(449\) | −22.7717 | + | 26.2800i | −1.07466 | + | 1.24023i | −0.105341 | + | 0.994436i | \(0.533593\pi\) |
−0.969323 | + | 0.245792i | \(0.920952\pi\) | |||||||
\(450\) | −4.60149 | + | 1.35112i | −0.216916 | + | 0.0636924i | ||||
\(451\) | −6.52669 | − | 14.2915i | −0.307330 | − | 0.672958i | ||||
\(452\) | −7.76861 | + | 4.99259i | −0.365405 | + | 0.234831i | ||||
\(453\) | −9.03415 | − | 2.65266i | −0.424461 | − | 0.124633i | ||||
\(454\) | −2.29172 | − | 15.9393i | −0.107556 | − | 0.748068i | ||||
\(455\) | 0.485691 | − | 1.06351i | 0.0227695 | − | 0.0498583i | ||||
\(456\) | 1.61325 | − | 11.2204i | 0.0755472 | − | 0.525443i | ||||
\(457\) | −8.88813 | − | 5.71205i | −0.415769 | − | 0.267199i | 0.315989 | − | 0.948763i | \(-0.397664\pi\) |
−0.731758 | + | 0.681564i | \(0.761300\pi\) | |||||||
\(458\) | −34.7504 | − | 40.1041i | −1.62378 | − | 1.87394i | ||||
\(459\) | 20.4130 | 0.952796 | ||||||||
\(460\) | 14.9988 | − | 9.92180i | 0.699322 | − | 0.462607i | ||||
\(461\) | 27.8881 | 1.29888 | 0.649438 | − | 0.760414i | \(-0.275004\pi\) | ||||
0.649438 | + | 0.760414i | \(0.275004\pi\) | |||||||
\(462\) | −4.90811 | − | 5.66427i | −0.228346 | − | 0.263525i | ||||
\(463\) | −3.36775 | − | 2.16432i | −0.156513 | − | 0.100584i | 0.460040 | − | 0.887898i | \(-0.347835\pi\) |
−0.616553 | + | 0.787314i | \(0.711471\pi\) | |||||||
\(464\) | −2.43690 | + | 16.9490i | −0.113130 | + | 0.786839i | ||||
\(465\) | −4.28644 | + | 9.38599i | −0.198779 | + | 0.435265i | ||||
\(466\) | −5.51123 | − | 38.3314i | −0.255303 | − | 1.77567i | ||||
\(467\) | 7.40548 | + | 2.17445i | 0.342685 | + | 0.100621i | 0.448546 | − | 0.893760i | \(-0.351942\pi\) |
−0.105862 | + | 0.994381i | \(0.533760\pi\) | |||||||
\(468\) | −5.37331 | + | 3.45322i | −0.248381 | + | 0.159625i | ||||
\(469\) | 5.65581 | + | 12.3845i | 0.261161 | + | 0.571863i | ||||
\(470\) | 20.0488 | − | 5.88687i | 0.924784 | − | 0.271541i | ||||
\(471\) | −9.67104 | + | 11.1610i | −0.445618 | + | 0.514271i | ||||
\(472\) | 7.46274 | − | 8.61246i | 0.343500 | − | 0.396420i | ||||
\(473\) | 15.3536 | − | 4.50821i | 0.705957 | − | 0.207288i | ||||
\(474\) | −14.6391 | − | 32.0551i | −0.672394 | − | 1.47234i | ||||
\(475\) | −2.27279 | + | 1.46063i | −0.104283 | + | 0.0670183i | ||||
\(476\) | 20.1647 | + | 5.92088i | 0.924246 | + | 0.271383i | ||||
\(477\) | 1.94431 | + | 13.5230i | 0.0890240 | + | 0.619175i | ||||
\(478\) | 7.16645 | − | 15.6923i | 0.327786 | − | 0.717750i | ||||
\(479\) | 3.24698 | − | 22.5833i | 0.148358 | − | 1.03186i | −0.770549 | − | 0.637381i | \(-0.780018\pi\) |
0.918907 | − | 0.394474i | \(-0.129073\pi\) | |||||||
\(480\) | 1.89245 | + | 1.21620i | 0.0863779 | + | 0.0555117i | ||||
\(481\) | −5.86392 | − | 6.76733i | −0.267372 | − | 0.308564i | ||||
\(482\) | −44.7948 | −2.04035 | ||||||||
\(483\) | 6.29189 | − | 1.93820i | 0.286291 | − | 0.0881910i | ||||
\(484\) | −21.8086 | −0.991301 | ||||||||
\(485\) | 7.14058 | + | 8.24067i | 0.324237 | + | 0.374189i | ||||
\(486\) | 32.2756 | + | 20.7422i | 1.46405 | + | 0.940887i | ||||
\(487\) | 0.670174 | − | 4.66116i | 0.0303685 | − | 0.211217i | −0.968987 | − | 0.247111i | \(-0.920519\pi\) |
0.999356 | + | 0.0358938i | \(0.0114278\pi\) | |||||||
\(488\) | −1.58407 | + | 3.46862i | −0.0717073 | + | 0.157017i | ||||
\(489\) | −0.858668 | − | 5.97217i | −0.0388303 | − | 0.270071i | ||||
\(490\) | 11.7694 | + | 3.45580i | 0.531686 | + | 0.156117i | ||||
\(491\) | −13.0501 | + | 8.38676i | −0.588941 | + | 0.378489i | −0.800908 | − | 0.598787i | \(-0.795649\pi\) |
0.211967 | + | 0.977277i | \(0.432013\pi\) | |||||||
\(492\) | −10.7490 | − | 23.5370i | −0.484601 | − | 1.06113i | ||||
\(493\) | −26.1863 | + | 7.68899i | −1.17937 | + | 0.346295i | ||||
\(494\) | −3.61312 | + | 4.16976i | −0.162562 | + | 0.187606i | ||||
\(495\) | 2.98205 | − | 3.44147i | 0.134033 | − | 0.154683i | ||||
\(496\) | 25.3599 | − | 7.44635i | 1.13870 | − | 0.334351i | ||||
\(497\) | −1.12982 | − | 2.47397i | −0.0506795 | − | 0.110973i | ||||
\(498\) | −3.53052 | + | 2.26893i | −0.158207 | + | 0.101673i | ||||
\(499\) | −19.8125 | − | 5.81748i | −0.886930 | − | 0.260426i | −0.193630 | − | 0.981075i | \(-0.562026\pi\) |
−0.693301 | + | 0.720648i | \(0.743844\pi\) | |||||||
\(500\) | 0.533654 | + | 3.71165i | 0.0238658 | + | 0.165990i | ||||
\(501\) | −1.15857 | + | 2.53692i | −0.0517613 | + | 0.113341i | ||||
\(502\) | −0.318473 | + | 2.21503i | −0.0142141 | + | 0.0988615i | ||||
\(503\) | 7.51095 | + | 4.82699i | 0.334897 | + | 0.215225i | 0.697271 | − | 0.716808i | \(-0.254397\pi\) |
−0.362374 | + | 0.932033i | \(0.618034\pi\) | |||||||
\(504\) | 7.54399 | + | 8.70623i | 0.336036 | + | 0.387806i | ||||
\(505\) | −10.4064 | −0.463079 | ||||||||
\(506\) | −10.5611 | + | 23.9590i | −0.469499 | + | 1.06511i | ||||
\(507\) | 12.2746 | 0.545136 | ||||||||
\(508\) | −18.4000 | − | 21.2348i | −0.816369 | − | 0.942141i | ||||
\(509\) | −24.4024 | − | 15.6824i | −1.08162 | − | 0.695112i | −0.126685 | − | 0.991943i | \(-0.540434\pi\) |
−0.954930 | + | 0.296831i | \(0.904070\pi\) | |||||||
\(510\) | 1.39320 | − | 9.68992i | 0.0616920 | − | 0.429077i | ||||
\(511\) | 4.62653 | − | 10.1307i | 0.204666 | − | 0.448155i | ||||
\(512\) | −3.87913 | − | 26.9800i | −0.171435 | − | 1.19236i | ||||
\(513\) | 12.9611 | + | 3.80574i | 0.572248 | + | 0.168027i | ||||
\(514\) | 26.3659 | − | 16.9444i | 1.16295 | − | 0.747383i | ||||
\(515\) | −5.28316 | − | 11.5685i | −0.232804 | − | 0.509769i | ||||
\(516\) | 25.2862 | − | 7.42469i | 1.11316 | − | 0.326854i | ||||
\(517\) | −12.9929 | + | 14.9946i | −0.571426 | + | 0.659461i | ||||
\(518\) | −22.6643 | + | 26.1560i | −0.995814 | + | 1.14923i | ||||
\(519\) | 14.6959 | − | 4.31510i | 0.645078 | − | 0.189412i | ||||
\(520\) | 1.48449 | + | 3.25057i | 0.0650991 | + | 0.142547i | ||||
\(521\) | −11.6208 | + | 7.46825i | −0.509118 | + | 0.327190i | −0.769854 | − | 0.638220i | \(-0.779671\pi\) |
0.260736 | + | 0.965410i | \(0.416035\pi\) | |||||||
\(522\) | −30.7606 | − | 9.03212i | −1.34635 | − | 0.395325i | ||||
\(523\) | −4.57967 | − | 31.8523i | −0.200255 | − | 1.39280i | −0.803527 | − | 0.595268i | \(-0.797046\pi\) |
0.603272 | − | 0.797535i | \(-0.293863\pi\) | |||||||
\(524\) | 1.26450 | − | 2.76888i | 0.0552401 | − | 0.120959i | ||||
\(525\) | −0.195368 | + | 1.35881i | −0.00852655 | + | 0.0593034i | ||||
\(526\) | −5.39592 | − | 3.46775i | −0.235273 | − | 0.151201i | ||||
\(527\) | 27.5867 | + | 31.8367i | 1.20170 | + | 1.38683i | ||||
\(528\) | 5.83214 | 0.253812 | ||||||||
\(529\) | −15.5162 | − | 16.9779i | −0.674617 | − | 0.738168i | ||||
\(530\) | 16.3800 | 0.711500 | ||||||||
\(531\) | 3.55720 | + | 4.10523i | 0.154369 | + | 0.178152i | ||||
\(532\) | 11.6996 | + | 7.51888i | 0.507242 | + | 0.325985i | ||||
\(533\) | −0.836373 | + | 5.81710i | −0.0362273 | + | 0.251967i | ||||
\(534\) | 5.29595 | − | 11.5965i | 0.229178 | − | 0.501830i | ||||
\(535\) | 1.61698 | + | 11.2464i | 0.0699083 | + | 0.486223i | ||||
\(536\) | −39.9274 | − | 11.7237i | −1.72460 | − | 0.506388i | ||||
\(537\) | 10.8851 | − | 6.99543i | 0.469727 | − | 0.301875i | ||||
\(538\) | 32.0808 | + | 70.2472i | 1.38310 | + | 3.02857i | ||||
\(539\) | −11.1754 | + | 3.28139i | −0.481358 | + | 0.141339i | ||||
\(540\) | 12.2780 | − | 14.1696i | 0.528363 | − | 0.609763i | ||||
\(541\) | −0.833443 | + | 0.961844i | −0.0358325 | + | 0.0413529i | −0.773383 | − | 0.633939i | \(-0.781437\pi\) |
0.737550 | + | 0.675292i | \(0.235982\pi\) | |||||||
\(542\) | −13.0110 | + | 3.82038i | −0.558871 | + | 0.164099i | ||||
\(543\) | −6.44875 | − | 14.1208i | −0.276743 | − | 0.605982i | ||||
\(544\) | 7.72609 | − | 4.96526i | 0.331253 | − | 0.212884i | ||||
\(545\) | 4.10318 | + | 1.20480i | 0.175761 | + | 0.0516081i | ||||
\(546\) | 0.398983 | + | 2.77499i | 0.0170749 | + | 0.118759i | ||||
\(547\) | −8.25842 | + | 18.0834i | −0.353104 | + | 0.773191i | 0.646840 | + | 0.762626i | \(0.276090\pi\) |
−0.999944 | + | 0.0105648i | \(0.996637\pi\) | |||||||
\(548\) | 6.53401 | − | 45.4451i | 0.279119 | − | 1.94132i | ||||
\(549\) | −1.52908 | − | 0.982677i | −0.0652593 | − | 0.0419396i | ||||
\(550\) | −3.57530 | − | 4.12611i | −0.152451 | − | 0.175938i | ||||
\(551\) | −18.0604 | −0.769399 | ||||||||
\(552\) | −8.11645 | + | 18.4131i | −0.345459 | + | 0.783712i | ||||
\(553\) | 20.1747 | 0.857915 | ||||||||
\(554\) | −40.7947 | − | 47.0796i | −1.73320 | − | 2.00022i | ||||
\(555\) | 8.84487 | + | 5.68425i | 0.375444 | + | 0.241283i | ||||
\(556\) | −9.22104 | + | 64.1338i | −0.391059 | + | 2.71988i | ||||
\(557\) | −19.0488 | + | 41.7110i | −0.807123 | + | 1.76735i | −0.187814 | + | 0.982205i | \(0.560140\pi\) |
−0.619308 | + | 0.785148i | \(0.712587\pi\) | |||||||
\(558\) | 7.04241 | + | 48.9811i | 0.298129 | + | 2.07353i | ||||
\(559\) | −5.74312 | − | 1.68633i | −0.242908 | − | 0.0713242i | ||||
\(560\) | 2.95816 | − | 1.90110i | 0.125005 | − | 0.0803359i | ||||
\(561\) | 3.86149 | + | 8.45548i | 0.163032 | + | 0.356991i | ||||
\(562\) | 67.3969 | − | 19.7895i | 2.84297 | − | 0.834771i | ||||
\(563\) | −10.4097 | + | 12.0135i | −0.438718 | + | 0.506308i | −0.931448 | − | 0.363874i | \(-0.881454\pi\) |
0.492730 | + | 0.870183i | \(0.335999\pi\) | |||||||
\(564\) | −21.3983 | + | 24.6950i | −0.901031 | + | 1.03985i | ||||
\(565\) | −2.36292 | + | 0.693815i | −0.0994087 | + | 0.0291890i | ||||
\(566\) | −3.51584 | − | 7.69862i | −0.147782 | − | 0.323597i | ||||
\(567\) | −1.15486 | + | 0.742184i | −0.0484996 | + | 0.0311688i | ||||
\(568\) | 7.97602 | + | 2.34197i | 0.334666 | + | 0.0982669i | ||||
\(569\) | −4.63561 | − | 32.2414i | −0.194335 | − | 1.35163i | −0.820370 | − | 0.571833i | \(-0.806232\pi\) |
0.626035 | − | 0.779795i | \(-0.284677\pi\) | |||||||
\(570\) | 2.69117 | − | 5.89283i | 0.112721 | − | 0.246824i | ||||
\(571\) | 0.274000 | − | 1.90571i | 0.0114665 | − | 0.0797515i | −0.983285 | − | 0.182075i | \(-0.941719\pi\) |
0.994751 | + | 0.102324i | \(0.0326277\pi\) | |||||||
\(572\) | −6.11713 | − | 3.93124i | −0.255770 | − | 0.164373i | ||||
\(573\) | 12.0782 | + | 13.9390i | 0.504574 | + | 0.582309i | ||||
\(574\) | 22.7146 | 0.948087 | ||||||||
\(575\) | 4.58330 | − | 1.41187i | 0.191137 | − | 0.0588791i | ||||
\(576\) | 21.0343 | 0.876428 | ||||||||
\(577\) | −15.5509 | − | 17.9467i | −0.647394 | − | 0.747132i | 0.333270 | − | 0.942831i | \(-0.391848\pi\) |
−0.980664 | + | 0.195699i | \(0.937302\pi\) | |||||||
\(578\) | 0.670538 | + | 0.430928i | 0.0278907 | + | 0.0179243i | ||||
\(579\) | −1.08585 | + | 7.55227i | −0.0451265 | + | 0.313862i | ||||
\(580\) | −10.4133 | + | 22.8019i | −0.432388 | + | 0.946798i | ||||
\(581\) | −0.341931 | − | 2.37818i | −0.0141857 | − | 0.0986636i | ||||
\(582\) | −25.0873 | − | 7.36628i | −1.03990 | − | 0.305342i | ||||
\(583\) | −13.0842 | + | 8.40874i | −0.541894 | + | 0.348254i | ||||
\(584\) | 14.1407 | + | 30.9639i | 0.585148 | + | 1.28130i | ||||
\(585\) | −1.63436 | + | 0.479890i | −0.0675723 | + | 0.0198410i | ||||
\(586\) | −36.9801 | + | 42.6773i | −1.52763 | + | 1.76298i | ||||
\(587\) | 2.74755 | − | 3.17084i | 0.113404 | − | 0.130875i | −0.696209 | − | 0.717839i | \(-0.745132\pi\) |
0.809613 | + | 0.586964i | \(0.199677\pi\) | |||||||
\(588\) | −18.4050 | + | 5.40420i | −0.759010 | + | 0.222866i | ||||
\(589\) | 11.5805 | + | 25.3578i | 0.477167 | + | 1.04485i | ||||
\(590\) | 5.47878 | − | 3.52100i | 0.225558 | − | 0.144957i | ||||
\(591\) | −10.6614 | − | 3.13046i | −0.438549 | − | 0.128770i | ||||
\(592\) | −3.83272 | − | 26.6571i | −0.157524 | − | 1.09560i | ||||
\(593\) | 10.6921 | − | 23.4123i | 0.439070 | − | 0.961429i | −0.552698 | − | 0.833382i | \(-0.686402\pi\) |
0.991768 | − | 0.128048i | \(-0.0408710\pi\) | |||||||
\(594\) | −3.88493 | + | 27.0203i | −0.159401 | + | 1.10866i | ||||
\(595\) | 4.71483 | + | 3.03004i | 0.193289 | + | 0.124219i | ||||
\(596\) | 34.8308 | + | 40.1969i | 1.42673 | + | 1.64653i | ||||
\(597\) | 13.7978 | 0.564705 | ||||||||
\(598\) | 8.16861 | − | 5.40359i | 0.334039 | − | 0.220969i | ||||
\(599\) | −13.1966 | −0.539197 | −0.269598 | − | 0.962973i | \(-0.586891\pi\) | ||||
−0.269598 | + | 0.962973i | \(0.586891\pi\) | |||||||
\(600\) | −2.74769 | − | 3.17101i | −0.112174 | − | 0.129456i | ||||
\(601\) | 28.3826 | + | 18.2404i | 1.15775 | + | 0.744041i | 0.971168 | − | 0.238398i | \(-0.0766222\pi\) |
0.186583 | + | 0.982439i | \(0.440259\pi\) | |||||||
\(602\) | −3.29239 | + | 22.8991i | −0.134188 | + | 0.933296i | ||||
\(603\) | 8.23990 | − | 18.0429i | 0.335555 | − | 0.734762i | ||||
\(604\) | 5.02465 | + | 34.9472i | 0.204450 | + | 1.42198i | ||||
\(605\) | −5.58033 | − | 1.63853i | −0.226873 | − | 0.0666158i | ||||
\(606\) | 20.9920 | − | 13.4908i | 0.852743 | − | 0.548025i | ||||
\(607\) | −13.6115 | − | 29.8050i | −0.552473 | − | 1.20975i | −0.955617 | − | 0.294611i | \(-0.904810\pi\) |
0.403144 | − | 0.915137i | \(-0.367917\pi\) | |||||||
\(608\) | 5.83136 | − | 1.71224i | 0.236493 | − | 0.0694406i | ||||
\(609\) | −6.00963 | + | 6.93548i | −0.243522 | + | 0.281040i | ||||
\(610\) | −1.42708 | + | 1.64694i | −0.0577807 | + | 0.0666825i | ||||
\(611\) | 7.12094 | − | 2.09090i | 0.288082 | − | 0.0845886i | ||||
\(612\) | −12.7192 | − | 27.8511i | −0.514142 | − | 1.12581i | ||||
\(613\) | −5.21401 | + | 3.35084i | −0.210592 | + | 0.135339i | −0.641685 | − | 0.766968i | \(-0.721764\pi\) |
0.431093 | + | 0.902307i | \(0.358128\pi\) | |||||||
\(614\) | −7.53400 | − | 2.21218i | −0.304048 | − | 0.0892764i | ||||
\(615\) | −0.982030 | − | 6.83017i | −0.0395993 | − | 0.275419i | ||||
\(616\) | −5.44804 | + | 11.9295i | −0.219508 | + | 0.480655i | ||||
\(617\) | −3.60268 | + | 25.0572i | −0.145038 | + | 1.00876i | 0.779153 | + | 0.626834i | \(0.215649\pi\) |
−0.924191 | + | 0.381930i | \(0.875260\pi\) | |||||||
\(618\) | 25.6546 | + | 16.4872i | 1.03198 | + | 0.663213i | ||||
\(619\) | −10.8800 | − | 12.5562i | −0.437304 | − | 0.504675i | 0.493727 | − | 0.869617i | \(-0.335634\pi\) |
−0.931030 | + | 0.364942i | \(0.881089\pi\) | |||||||
\(620\) | 38.6923 | 1.55392 | ||||||||
\(621\) | −20.3422 | − | 12.6962i | −0.816305 | − | 0.509482i | ||||
\(622\) | 53.8191 | 2.15795 | ||||||||
\(623\) | 4.77954 | + | 5.51589i | 0.191488 | + | 0.220989i | ||||
\(624\) | −1.83525 | − | 1.17944i | −0.0734686 | − | 0.0472154i | ||||
\(625\) | −0.142315 | + | 0.989821i | −0.00569259 | + | 0.0395929i | ||||
\(626\) | −11.9643 | + | 26.1982i | −0.478190 | + | 1.04709i | ||||
\(627\) | 0.875422 | + | 6.08870i | 0.0349610 | + | 0.243159i | ||||
\(628\) | 53.1344 | + | 15.6017i | 2.12029 | + | 0.622575i | ||||
\(629\) | 36.1100 | − | 23.2065i | 1.43980 | − | 0.925304i | ||||
\(630\) | 2.73490 | + | 5.98860i | 0.108961 | + | 0.238592i | ||||
\(631\) | −20.3715 | + | 5.98161i | −0.810976 | + | 0.238124i | −0.660826 | − | 0.750539i | \(-0.729794\pi\) |
−0.150150 | + | 0.988663i | \(0.547976\pi\) | |||||||
\(632\) | −40.3805 | + | 46.6016i | −1.60625 | + | 1.85371i | ||||
\(633\) | 1.28747 | − | 1.48582i | 0.0511722 | − | 0.0590559i | ||||
\(634\) | 65.7135 | − | 19.2952i | 2.60982 | − | 0.766311i | ||||
\(635\) | −3.11273 | − | 6.81594i | −0.123525 | − | 0.270482i | ||||
\(636\) | −21.5488 | + | 13.8486i | −0.854465 | + | 0.549131i | ||||
\(637\) | 4.18024 | + | 1.22743i | 0.165627 | + | 0.0486325i | ||||
\(638\) | −5.19408 | − | 36.1256i | −0.205636 | − | 1.43023i | ||||
\(639\) | −1.64603 | + | 3.60430i | −0.0651159 | + | 0.142584i | ||||
\(640\) | 2.94872 | − | 20.5088i | 0.116558 | − | 0.810681i | ||||
\(641\) | 1.52069 | + | 0.977288i | 0.0600636 | + | 0.0386006i | 0.570328 | − | 0.821417i | \(-0.306816\pi\) |
−0.510264 | + | 0.860018i | \(0.670452\pi\) | |||||||
\(642\) | −17.8415 | − | 20.5902i | −0.704147 | − | 0.812629i | ||||
\(643\) | 20.7517 | 0.818367 | 0.409184 | − | 0.912452i | \(-0.365814\pi\) | ||||
0.409184 | + | 0.912452i | \(0.365814\pi\) | |||||||
\(644\) | −16.4122 | − | 18.4421i | −0.646729 | − | 0.726722i | ||||
\(645\) | 7.02799 | 0.276727 | ||||||||
\(646\) | −17.3198 | − | 19.9882i | −0.681440 | − | 0.786424i | ||||
\(647\) | −20.7845 | − | 13.3574i | −0.817122 | − | 0.525132i | 0.0640400 | − | 0.997947i | \(-0.479601\pi\) |
−0.881162 | + | 0.472815i | \(0.843238\pi\) | |||||||
\(648\) | 0.597131 | − | 4.15314i | 0.0234575 | − | 0.163151i | ||||
\(649\) | −2.56890 | + | 5.62512i | −0.100838 | + | 0.220805i | ||||
\(650\) | 0.290638 | + | 2.02143i | 0.0113998 | + | 0.0792870i | ||||
\(651\) | 13.5912 | + | 3.99075i | 0.532682 | + | 0.156410i | ||||
\(652\) | −19.0332 | + | 12.2319i | −0.745398 | + | 0.479038i | ||||
\(653\) | −0.639465 | − | 1.40023i | −0.0250242 | − | 0.0547953i | 0.896707 | − | 0.442624i | \(-0.145952\pi\) |
−0.921731 | + | 0.387829i | \(0.873225\pi\) | |||||||
\(654\) | −9.83893 | + | 2.88897i | −0.384733 | + | 0.112968i | ||||
\(655\) | 0.531590 | − | 0.613488i | 0.0207709 | − | 0.0239709i | ||||
\(656\) | −11.5749 | + | 13.3581i | −0.451923 | + | 0.521546i | ||||
\(657\) | −15.5683 | + | 4.57128i | −0.607379 | + | 0.178343i | ||||
\(658\) | −11.9160 | − | 26.0925i | −0.464536 | − | 1.01719i | ||||
\(659\) | −22.7777 | + | 14.6383i | −0.887293 | + | 0.570229i | −0.902996 | − | 0.429648i | \(-0.858638\pi\) |
0.0157033 | + | 0.999877i | \(0.495001\pi\) | |||||||
\(660\) | 8.19196 | + | 2.40538i | 0.318872 | + | 0.0936291i | ||||
\(661\) | −1.64945 | − | 11.4722i | −0.0641560 | − | 0.446215i | −0.996427 | − | 0.0844550i | \(-0.973085\pi\) |
0.932271 | − | 0.361760i | \(-0.117824\pi\) | |||||||
\(662\) | 27.2133 | − | 59.5888i | 1.05767 | − | 2.31598i | ||||
\(663\) | 0.494836 | − | 3.44166i | 0.0192179 | − | 0.133663i | ||||
\(664\) | 6.17777 | + | 3.97021i | 0.239744 | + | 0.154074i | ||||
\(665\) | 2.42875 | + | 2.80293i | 0.0941830 | + | 0.108693i | ||||
\(666\) | 50.4222 | 1.95382 | ||||||||
\(667\) | 30.8778 | + | 8.62472i | 1.19559 | + | 0.333951i | ||||
\(668\) | 10.4581 | 0.404635 | ||||||||
\(669\) | −11.6523 | − | 13.4475i | −0.450504 | − | 0.519909i | ||||
\(670\) | −20.0062 | − | 12.8572i | −0.772905 | − | 0.496716i | ||||
\(671\) | 0.294482 | − | 2.04816i | 0.0113683 | − | 0.0790685i | ||||
\(672\) | 1.28287 | − | 2.80909i | 0.0494876 | − | 0.108363i | ||||
\(673\) | −4.14880 | − | 28.8555i | −0.159924 | − | 1.11230i | −0.898769 | − | 0.438423i | \(-0.855537\pi\) |
0.738844 | − | 0.673876i | \(-0.235372\pi\) | |||||||
\(674\) | −26.5133 | − | 7.78500i | −1.02125 | − | 0.299867i | ||||
\(675\) | 4.20627 | − | 2.70320i | 0.161899 | − | 0.104046i | ||||
\(676\) | −19.1206 | − | 41.8682i | −0.735407 | − | 1.61032i | ||||
\(677\) | 18.7219 | − | 5.49725i | 0.719541 | − | 0.211276i | 0.0985929 | − | 0.995128i | \(-0.468566\pi\) |
0.620948 | + | 0.783851i | \(0.286748\pi\) | |||||||
\(678\) | 3.86708 | − | 4.46284i | 0.148514 | − | 0.171394i | ||||
\(679\) | 9.80248 | − | 11.3127i | 0.376185 | − | 0.434140i | ||||
\(680\) | −16.4361 | + | 4.82606i | −0.630294 | + | 0.185071i | ||||
\(681\) | 2.78976 | + | 6.10873i | 0.106904 | + | 0.234087i | ||||
\(682\) | −47.3919 | + | 30.4569i | −1.81473 | + | 1.16626i | ||||
\(683\) | −26.3297 | − | 7.73108i | −1.00748 | − | 0.295822i | −0.263956 | − | 0.964535i | \(-0.585027\pi\) |
−0.743520 | + | 0.668713i | \(0.766845\pi\) | |||||||
\(684\) | −2.88351 | − | 20.0553i | −0.110254 | − | 0.766832i | ||||
\(685\) | 5.08630 | − | 11.1374i | 0.194338 | − | 0.425540i | ||||
\(686\) | 5.67570 | − | 39.4754i | 0.216699 | − | 1.50718i | ||||
\(687\) | 18.6171 | + | 11.9645i | 0.710285 | + | 0.456473i | ||||
\(688\) | −11.7889 | − | 13.6051i | −0.449447 | − | 0.518689i | ||||
\(689\) | 5.81783 | 0.221642 | ||||||||
\(690\) | −7.41520 | + | 8.78980i | −0.282292 | + | 0.334622i | ||||
\(691\) | −24.2740 | −0.923425 | −0.461712 | − | 0.887030i | \(-0.652765\pi\) | ||||
−0.461712 | + | 0.887030i | \(0.652765\pi\) | |||||||
\(692\) | −37.6108 | − | 43.4052i | −1.42975 | − | 1.65002i | ||||
\(693\) | −5.25891 | − | 3.37970i | −0.199769 | − | 0.128384i | ||||
\(694\) | −3.60545 | + | 25.0764i | −0.136861 | + | 0.951888i | ||||
\(695\) | −7.17798 | + | 15.7176i | −0.272276 | + | 0.596202i | ||||
\(696\) | −3.99177 | − | 27.7634i | −0.151308 | − | 1.05237i | ||||
\(697\) | −27.0304 | − | 7.93685i | −1.02385 | − | 0.300630i | ||||
\(698\) | 3.48311 | − | 2.23846i | 0.131838 | − | 0.0847268i | ||||
\(699\) | 6.70893 | + | 14.6905i | 0.253755 | + | 0.555646i | ||||
\(700\) | 4.93918 | − | 1.45027i | 0.186683 | − | 0.0548152i | ||||
\(701\) | 0.810987 | − | 0.935929i | 0.0306306 | − | 0.0353496i | −0.740228 | − | 0.672356i | \(-0.765282\pi\) |
0.770858 | + | 0.637007i | \(0.219828\pi\) | |||||||
\(702\) | 6.68684 | − | 7.71702i | 0.252378 | − | 0.291260i | ||||
\(703\) | 27.2545 | − | 8.00264i | 1.02792 | − | 0.301825i | ||||
\(704\) | 9.94754 | + | 21.7821i | 0.374912 | + | 0.820942i | ||||
\(705\) | −7.33073 | + | 4.71117i | −0.276091 | + | 0.177433i | ||||
\(706\) | −10.3537 | − | 3.04012i | −0.389667 | − | 0.114417i | ||||
\(707\) | 2.03308 | + | 14.1404i | 0.0764617 | + | 0.531803i | ||||
\(708\) | −4.23079 | + | 9.26415i | −0.159003 | + | 0.348168i | ||||
\(709\) | 2.47319 | − | 17.2014i | 0.0928825 | − | 0.646012i | −0.889194 | − | 0.457530i | \(-0.848734\pi\) |
0.982077 | − | 0.188482i | \(-0.0603567\pi\) | |||||||
\(710\) | 3.99649 | + | 2.56839i | 0.149986 | + | 0.0963900i | ||||
\(711\) | −19.2479 | − | 22.2132i | −0.721852 | − | 0.833061i | ||||
\(712\) | −22.3077 | −0.836015 | ||||||||
\(713\) | −7.68960 | − | 48.8844i | −0.287978 | − | 1.83074i | ||||
\(714\) | −13.4390 | −0.502941 | ||||||||
\(715\) | −1.26987 | − | 1.46551i | −0.0474905 | − | 0.0548070i | ||||
\(716\) | −40.8171 | − | 26.2316i | −1.52541 | − | 0.980320i | ||||
\(717\) | −1.02387 | + | 7.12117i | −0.0382371 | + | 0.265945i | ||||
\(718\) | −15.0477 | + | 32.9500i | −0.561577 | + | 1.22968i | ||||
\(719\) | 2.62249 | + | 18.2398i | 0.0978022 | + | 0.680230i | 0.978454 | + | 0.206465i | \(0.0661960\pi\) |
−0.880652 | + | 0.473764i | \(0.842895\pi\) | |||||||
\(720\) | −4.91546 | − | 1.44331i | −0.183188 | − | 0.0537890i | ||||
\(721\) | −14.6873 | + | 9.43893i | −0.546982 | + | 0.351524i | ||||
\(722\) | 11.6555 | + | 25.5221i | 0.433774 | + | 0.949833i | ||||
\(723\) | 17.9243 | − | 5.26306i | 0.666613 | − | 0.195735i | ||||
\(724\) | −38.1200 | + | 43.9928i | −1.41672 | + | 1.63498i | ||||
\(725\) | −4.37769 | + | 5.05212i | −0.162583 | + | 0.187631i | ||||
\(726\) | 13.3810 | − | 3.92900i | 0.496614 | − | 0.145819i | ||||
\(727\) | 5.92475 | + | 12.9734i | 0.219737 | + | 0.481156i | 0.987110 | − | 0.160044i | \(-0.0511638\pi\) |
−0.767373 | + | 0.641201i | \(0.778436\pi\) | |||||||
\(728\) | 4.12690 | − | 2.65220i | 0.152953 | − | 0.0982970i | ||||
\(729\) | −12.4734 | − | 3.66252i | −0.461978 | − | 0.135649i | ||||
\(730\) | 2.76852 | + | 19.2555i | 0.102468 | + | 0.712677i | ||||
\(731\) | 11.9193 | − | 26.0996i | 0.440850 | − | 0.965327i | ||||
\(732\) | 0.484989 | − | 3.37317i | 0.0179257 | − | 0.124676i | ||||
\(733\) | −25.3320 | − | 16.2799i | −0.935660 | − | 0.601312i | −0.0184988 | − | 0.999829i | \(-0.505889\pi\) |
−0.917161 | + | 0.398517i | \(0.869525\pi\) | |||||||
\(734\) | 39.4534 | + | 45.5317i | 1.45625 | + | 1.68060i | ||||
\(735\) | −5.11546 | −0.188687 | ||||||||
\(736\) | −10.7875 | + | 0.142657i | −0.397634 | + | 0.00525842i | ||||
\(737\) | 22.5811 | 0.831787 | ||||||||
\(738\) | −21.6711 | − | 25.0098i | −0.797724 | − | 0.920622i | ||||
\(739\) | −24.0929 | − | 15.4835i | −0.886270 | − | 0.569571i | 0.0164185 | − | 0.999865i | \(-0.494774\pi\) |
−0.902689 | + | 0.430294i | \(0.858410\pi\) | |||||||
\(740\) | 5.61080 | − | 39.0240i | 0.206257 | − | 1.43455i | ||||
\(741\) | 0.955848 | − | 2.09301i | 0.0351139 | − | 0.0768888i | ||||
\(742\) | −3.20012 | − | 22.2573i | −0.117480 | − | 0.817091i | ||||
\(743\) | −14.0696 | − | 4.13119i | −0.516162 | − | 0.151559i | 0.0132689 | − | 0.999912i | \(-0.495776\pi\) |
−0.529431 | + | 0.848353i | \(0.677594\pi\) | |||||||
\(744\) | −36.4217 | + | 23.4068i | −1.33529 | + | 0.858136i | ||||
\(745\) | 5.89233 | + | 12.9024i | 0.215878 | + | 0.472708i | ||||
\(746\) | 29.8478 | − | 8.76412i | 1.09281 | − | 0.320877i | ||||
\(747\) | −2.29226 | + | 2.64541i | −0.0838695 | + | 0.0967905i | ||||
\(748\) | 22.8261 | − | 26.3427i | 0.834604 | − | 0.963185i | ||||
\(749\) | 14.9658 | − | 4.39435i | 0.546838 | − | 0.160566i | ||||
\(750\) | −0.996114 | − | 2.18119i | −0.0363730 | − | 0.0796457i | ||||
\(751\) | 39.3442 | − | 25.2850i | 1.43569 | − | 0.922663i | 0.435949 | − | 0.899971i | \(-0.356413\pi\) |
0.999743 | − | 0.0226917i | \(-0.00722361\pi\) | |||||||
\(752\) | 21.4168 | + | 6.28854i | 0.780990 | + | 0.229319i | ||||
\(753\) | −0.132815 | − | 0.923745i | −0.00484003 | − | 0.0336632i | ||||
\(754\) | −5.67126 | + | 12.4183i | −0.206535 | + | 0.452249i | ||||
\(755\) | −1.33997 | + | 9.31970i | −0.0487665 | + | 0.339179i | ||||
\(756\) | −21.6526 | − | 13.9153i | −0.787497 | − | 0.506093i | ||||
\(757\) | 2.89191 | + | 3.33744i | 0.105108 | + | 0.121301i | 0.805866 | − | 0.592098i | \(-0.201700\pi\) |
−0.700758 | + | 0.713399i | \(0.747155\pi\) | |||||||
\(758\) | 65.6810 | 2.38564 | ||||||||
\(759\) | 1.41094 | − | 10.8279i | 0.0512139 | − | 0.393027i | ||||
\(760\) | −11.3358 | −0.411191 | ||||||||
\(761\) | 13.7133 | + | 15.8260i | 0.497108 | + | 0.573693i | 0.947751 | − | 0.319011i | \(-0.103351\pi\) |
−0.450643 | + | 0.892704i | \(0.648805\pi\) | |||||||
\(762\) | 15.1152 | + | 9.71394i | 0.547566 | + | 0.351899i | ||||
\(763\) | 0.835472 | − | 5.81084i | 0.0302461 | − | 0.210366i | ||||
\(764\) | 28.7306 | − | 62.9113i | 1.03944 | − | 2.27605i | ||||
\(765\) | −1.16203 | − | 8.08208i | −0.0420132 | − | 0.292208i | ||||
\(766\) | −1.22853 | − | 0.360730i | −0.0443887 | − | 0.0130337i | ||||
\(767\) | 1.94595 | − | 1.25059i | 0.0702642 | − | 0.0451560i | ||||
\(768\) | 11.9012 | + | 26.0600i | 0.429448 | + | 0.940361i | ||||
\(769\) | 1.66441 | − | 0.488714i | 0.0600201 | − | 0.0176235i | −0.251585 | − | 0.967835i | \(-0.580952\pi\) |
0.311605 | + | 0.950212i | \(0.399134\pi\) | |||||||
\(770\) | −4.90811 | + | 5.66427i | −0.176876 | + | 0.204126i | ||||
\(771\) | −8.55930 | + | 9.87796i | −0.308256 | + | 0.355746i | ||||
\(772\) | 27.4519 | − | 8.06061i | 0.988016 | − | 0.290108i | ||||
\(773\) | 15.6659 | + | 34.3035i | 0.563463 | + | 1.23381i | 0.950205 | + | 0.311625i | \(0.100873\pi\) |
−0.386742 | + | 0.922188i | \(0.626400\pi\) | |||||||
\(774\) | 28.3540 | − | 18.2220i | 1.01916 | − | 0.654978i | ||||
\(775\) | 9.90048 | + | 2.90704i | 0.355636 | + | 0.104424i | ||||
\(776\) | 6.51109 | + | 45.2857i | 0.233735 | + | 1.62566i | ||||
\(777\) | 5.99583 | − | 13.1290i | 0.215099 | − | 0.471002i | ||||
\(778\) | −5.38183 | + | 37.4314i | −0.192948 | + | 1.34198i | ||||
\(779\) | −15.6831 | − | 10.0789i | −0.561907 | − | 0.361116i | ||||
\(780\) | −2.09138 | − | 2.41359i | −0.0748836 | − | 0.0864202i | ||||
\(781\) | −4.51088 | −0.161412 | ||||||||
\(782\) | 20.0664 | + | 42.4448i | 0.717572 | + | 1.51782i | ||||
\(783\) | 33.4246 | 1.19450 | ||||||||
\(784\) | 8.58076 | + | 9.90273i | 0.306456 | + | 0.353669i | ||||
\(785\) | 12.4237 | + | 7.98423i | 0.443421 | + | 0.284969i | ||||
\(786\) | −0.277016 | + | 1.92669i | −0.00988084 | + | 0.0687227i | ||||
\(787\) | −22.3702 | + | 48.9839i | −0.797411 | + | 1.74609i | −0.143313 | + | 0.989677i | \(0.545776\pi\) |
−0.654098 | + | 0.756410i | \(0.726952\pi\) | |||||||
\(788\) | 5.92967 | + | 41.2418i | 0.211236 | + | 1.46918i | ||||
\(789\) | 2.56657 | + | 0.753613i | 0.0913723 | + | 0.0268293i | ||||
\(790\) | −29.6454 | + | 19.0520i | −1.05474 | + | 0.677838i | ||||
\(791\) | 1.40440 | + | 3.07521i | 0.0499348 | + | 0.109342i | ||||
\(792\) | 18.3327 | − | 5.38298i | 0.651425 | − | 0.191276i | ||||
\(793\) | −0.506869 | + | 0.584958i | −0.0179994 | + | 0.0207725i | ||||
\(794\) | 23.4458 | − | 27.0578i | 0.832059 | − | 0.960247i | ||||
\(795\) | −6.55432 | + | 1.92452i | −0.232458 | + | 0.0682558i | ||||
\(796\) | −21.4932 | − | 47.0635i | −0.761806 | − | 1.66812i | ||||
\(797\) | −7.14835 | + | 4.59397i | −0.253208 | + | 0.162727i | −0.661087 | − | 0.750309i | \(-0.729905\pi\) |
0.407880 | + | 0.913036i | \(0.366268\pi\) | |||||||
\(798\) | −8.53302 | − | 2.50552i | −0.302066 | − | 0.0886945i | ||||
\(799\) | 5.06299 | + | 35.2139i | 0.179116 | + | 1.24578i | ||||
\(800\) | 0.934499 | − | 2.04627i | 0.0330395 | − | 0.0723465i | ||||
\(801\) | 1.51326 | − | 10.5250i | 0.0534686 | − | 0.371882i | ||||
\(802\) | 47.2914 | + | 30.3923i | 1.66992 | + | 1.07319i | ||||
\(803\) | −12.0964 | − | 13.9600i | −0.426872 | − | 0.492637i | ||||
\(804\) | 37.1894 | 1.31157 | ||||||||
\(805\) | −2.81390 | − | 5.95201i | −0.0991768 | − | 0.209781i | ||||
\(806\) | 21.0725 | 0.742247 | ||||||||
\(807\) | −21.0904 | − | 24.3397i | −0.742418 | − | 0.856797i | ||||
\(808\) | −36.7322 | − | 23.6064i | −1.29223 | − | 0.830469i | ||||
\(809\) | −3.06730 | + | 21.3335i | −0.107840 | + | 0.750047i | 0.862106 | + | 0.506728i | \(0.169145\pi\) |
−0.969946 | + | 0.243319i | \(0.921764\pi\) | |||||||
\(810\) | 0.996114 | − | 2.18119i | 0.0349999 | − | 0.0766391i | ||||
\(811\) | 5.96255 | + | 41.4704i | 0.209373 | + | 1.45622i | 0.775208 | + | 0.631706i | \(0.217645\pi\) |
−0.565835 | + | 0.824519i | \(0.691446\pi\) | |||||||
\(812\) | 33.0180 | + | 9.69495i | 1.15870 | + | 0.340226i | ||||
\(813\) | 4.75740 | − | 3.05739i | 0.166849 | − | 0.107228i | ||||
\(814\) | 23.8457 | + | 52.2147i | 0.835791 | + | 1.83013i | ||||
\(815\) | −5.78918 | + | 1.69986i | −0.202786 | + | 0.0595434i | ||||
\(816\) | 6.84822 | − | 7.90327i | 0.239736 | − | 0.276670i | ||||
\(817\) | 12.4340 | − | 14.3496i | 0.435011 | − | 0.502030i | ||||
\(818\) | −83.2290 | + | 24.4382i | −2.91003 | + | 0.854463i | ||||
\(819\) | 0.971382 | + | 2.12703i | 0.0339428 | + | 0.0743244i | ||||
\(820\) | −21.7676 | + | 13.9892i | −0.760159 | + | 0.488525i | ||||
\(821\) | 37.3263 | + | 10.9600i | 1.30270 | + | 0.382506i | 0.858219 | − | 0.513284i | \(-0.171571\pi\) |
0.444478 | + | 0.895790i | \(0.353389\pi\) | |||||||
\(822\) | 4.17828 | + | 29.0605i | 0.145734 | + | 1.01360i | ||||
\(823\) | −12.4876 | + | 27.3441i | −0.435291 | + | 0.953155i | 0.557148 | + | 0.830414i | \(0.311896\pi\) |
−0.992439 | + | 0.122741i | \(0.960831\pi\) | |||||||
\(824\) | 7.59418 | − | 52.8187i | 0.264556 | − | 1.84003i | ||||
\(825\) | 1.91542 | + | 1.23096i | 0.0666862 | + | 0.0428566i | ||||
\(826\) | −5.85475 | − | 6.75674i | −0.203713 | − | 0.235097i | ||||
\(827\) | 5.04720 | 0.175508 | 0.0877542 | − | 0.996142i | \(-0.472031\pi\) | ||||
0.0877542 | + | 0.996142i | \(0.472031\pi\) | |||||||
\(828\) | −4.64743 | + | 35.6655i | −0.161509 | + | 1.23946i | ||||
\(829\) | 19.2151 | 0.667367 | 0.333684 | − | 0.942685i | \(-0.391708\pi\) | ||||
0.333684 | + | 0.942685i | \(0.391708\pi\) | |||||||
\(830\) | 2.74828 | + | 3.17169i | 0.0953942 | + | 0.110091i | ||||
\(831\) | 21.8552 | + | 14.0455i | 0.758149 | + | 0.487232i | ||||
\(832\) | 1.27474 | − | 8.86603i | 0.0441937 | − | 0.307374i | ||||
\(833\) | −8.67568 | + | 18.9971i | −0.300594 | + | 0.658210i | ||||
\(834\) | −5.89654 | − | 41.0113i | −0.204180 | − | 1.42011i | ||||
\(835\) | 2.67598 | + | 0.785740i | 0.0926063 | + | 0.0271917i | ||||
\(836\) | 19.4046 | − | 12.4706i | 0.671122 | − | 0.431304i | ||||
\(837\) | −21.4322 | − | 46.9299i | −0.740805 | − | 1.62214i | ||||
\(838\) | −33.7915 | + | 9.92209i | −1.16731 | + | 0.342753i | ||||
\(839\) | −11.1165 | + | 12.8291i | −0.383785 | + | 0.442911i | −0.914467 | − | 0.404659i | \(-0.867390\pi\) |
0.530683 | + | 0.847571i | \(0.321936\pi\) | |||||||
\(840\) | −3.77199 | + | 4.35311i | −0.130146 | + | 0.150197i | ||||
\(841\) | −15.0526 | + | 4.41984i | −0.519055 | + | 0.152408i | ||||
\(842\) | 11.0091 | + | 24.1065i | 0.379398 | + | 0.830765i | ||||
\(843\) | −24.6433 | + | 15.8373i | −0.848759 | + | 0.545464i | ||||
\(844\) | −7.07358 | − | 2.07699i | −0.243483 | − | 0.0714929i | ||||
\(845\) | −1.74686 | − | 12.1497i | −0.0600940 | − | 0.417963i | ||||
\(846\) | −17.3604 | + | 38.0140i | −0.596863 | + | 1.30695i | ||||
\(847\) | −1.13624 | + | 7.90274i | −0.0390418 | + | 0.271541i | ||||
\(848\) | 14.7199 | + | 9.45991i | 0.505484 | + | 0.324855i | ||||
\(849\) | 2.31137 | + | 2.66746i | 0.0793259 | + | 0.0915470i | ||||
\(850\) | −9.78957 | −0.335779 | ||||||||
\(851\) | −50.4186 | + | 0.666748i | −1.72833 | + | 0.0228558i | ||||
\(852\) | −7.42908 | −0.254516 | ||||||||
\(853\) | −3.20733 | − | 3.70146i | −0.109817 | − | 0.126736i | 0.698180 | − | 0.715923i | \(-0.253994\pi\) |
−0.807997 | + | 0.589187i | \(0.799448\pi\) | |||||||
\(854\) | 2.51668 | + | 1.61737i | 0.0861191 | + | 0.0553454i | ||||
\(855\) | 0.768974 | − | 5.34833i | 0.0262984 | − | 0.182909i | ||||
\(856\) | −19.8042 | + | 43.3651i | −0.676893 | + | 1.48219i | ||||
\(857\) | −6.53414 | − | 45.4459i | −0.223202 | − | 1.55240i | −0.725814 | − | 0.687892i | \(-0.758536\pi\) |
0.502612 | − | 0.864512i | \(-0.332373\pi\) | |||||||
\(858\) | 4.46149 | + | 1.31001i | 0.152313 | + | 0.0447230i | ||||
\(859\) | 12.0476 | − | 7.74251i | 0.411058 | − | 0.264171i | −0.318729 | − | 0.947846i | \(-0.603256\pi\) |
0.729786 | + | 0.683675i | \(0.239619\pi\) | |||||||
\(860\) | −10.9477 | − | 23.9721i | −0.373314 | − | 0.817443i | ||||
\(861\) | −9.08906 | + | 2.66879i | −0.309754 | + | 0.0909521i | ||||
\(862\) | 61.9703 | − | 71.5176i | 2.11072 | − | 2.43590i | ||||
\(863\) | −37.3754 | + | 43.1336i | −1.27227 | + | 1.46828i | −0.456713 | + | 0.889614i | \(0.650973\pi\) |
−0.815562 | + | 0.578669i | \(0.803572\pi\) | |||||||
\(864\) | −10.7922 | + | 3.16886i | −0.367157 | + | 0.107807i | ||||
\(865\) | −6.36262 | − | 13.9322i | −0.216336 | − | 0.473709i | ||||
\(866\) | 28.6978 | − | 18.4429i | 0.975190 | − | 0.626716i | ||||
\(867\) | −0.318941 | − | 0.0936497i | −0.0108318 | − | 0.00318051i | ||||
\(868\) | −7.55922 | − | 52.5755i | −0.256577 | − | 1.78453i | ||||
\(869\) | 13.9002 | − | 30.4373i | 0.471533 | − | 1.03251i | ||||
\(870\) | 2.28125 | − | 15.8664i | 0.0773416 | − | 0.537923i | ||||
\(871\) | −7.10578 | − | 4.56661i | −0.240770 | − | 0.154734i | ||||
\(872\) | 11.7503 | + | 13.5605i | 0.397914 | + | 0.459217i | ||||
\(873\) | −21.8079 | −0.738087 | ||||||||
\(874\) | 4.82779 | + | 30.6913i | 0.163302 | + | 1.03815i | ||||
\(875\) | 1.37279 | 0.0464086 | ||||||||
\(876\) | −19.9218 | − | 22.9910i | −0.673097 | − | 0.776795i | ||||
\(877\) | −23.9354 | − | 15.3823i | −0.808240 | − | 0.519424i | 0.0700552 | − | 0.997543i | \(-0.477682\pi\) |
−0.878295 | + | 0.478119i | \(0.841319\pi\) | |||||||
\(878\) | 0.510984 | − | 3.55397i | 0.0172449 | − | 0.119941i | ||||
\(879\) | 9.78305 | − | 21.4219i | 0.329974 | − | 0.722542i | ||||
\(880\) | −0.830001 | − | 5.77278i | −0.0279793 | − | 0.194600i | ||||
\(881\) | 30.8976 | + | 9.07235i | 1.04097 | + | 0.305655i | 0.757162 | − | 0.653227i | \(-0.226585\pi\) |
0.283804 | + | 0.958882i | \(0.408403\pi\) | |||||||
\(882\) | −20.6380 | + | 13.2633i | −0.694919 | + | 0.446597i | ||||
\(883\) | 1.85934 | + | 4.07138i | 0.0625716 | + | 0.137013i | 0.938334 | − | 0.345729i | \(-0.112368\pi\) |
−0.875763 | + | 0.482742i | \(0.839641\pi\) | |||||||
\(884\) | −12.5102 | + | 3.67332i | −0.420762 | + | 0.123547i | ||||
\(885\) | −1.77860 | + | 2.05262i | −0.0597870 | + | 0.0689979i | ||||
\(886\) | −22.3247 | + | 25.7641i | −0.750012 | + | 0.865560i | ||||
\(887\) | −7.97115 | + | 2.34054i | −0.267645 | + | 0.0785877i | −0.412801 | − | 0.910821i | \(-0.635450\pi\) |
0.145156 | + | 0.989409i | \(0.453631\pi\) | |||||||
\(888\) | 18.3259 | + | 40.1282i | 0.614978 | + | 1.34661i | ||||
\(889\) | −8.65345 | + | 5.56124i | −0.290227 | + | 0.186518i | ||||
\(890\) | −12.2322 | − | 3.59169i | −0.410023 | − | 0.120394i | ||||
\(891\) | 0.324031 | + | 2.25368i | 0.0108554 | + | 0.0755012i | ||||
\(892\) | −27.7175 | + | 60.6929i | −0.928052 | + | 2.03215i | ||||
\(893\) | −3.35044 | + | 23.3028i | −0.112118 | + | 0.779800i | ||||
\(894\) | −28.6127 | − | 18.3883i | −0.956952 | − | 0.614996i | ||||
\(895\) | −8.47334 | − | 9.77876i | −0.283233 | − | 0.326868i | ||||
\(896\) | −28.4437 | −0.950237 | ||||||||
\(897\) | −2.63373 | + | 3.12196i | −0.0879376 | + | 0.104239i | ||||
\(898\) | −83.3823 | −2.78250 | ||||||||
\(899\) | 45.1709 | + | 52.1300i | 1.50653 | + | 1.73863i | ||||
\(900\) | −6.30909 | − | 4.05461i | −0.210303 | − | 0.135154i | ||||
\(901\) | −3.96892 | + | 27.6045i | −0.132224 | + | 0.919638i | ||||
\(902\) | 15.6502 | − | 34.2692i | 0.521095 | − | 1.14104i | ||||
\(903\) | −1.37304 | − | 9.54972i | −0.0456920 | − | 0.317795i | ||||
\(904\) | −9.91443 | − | 2.91114i | −0.329749 | − | 0.0968231i | ||||
\(905\) | −13.0593 | + | 8.39272i | −0.434106 | + | 0.278983i | ||||
\(906\) | −9.37896 | − | 20.5370i | −0.311595 | − | 0.682298i | ||||
\(907\) | 19.2618 | − | 5.65576i | 0.639576 | − | 0.187796i | 0.0541635 | − | 0.998532i | \(-0.482751\pi\) |
0.585412 | + | 0.810736i | \(0.300933\pi\) | |||||||
\(908\) | 16.4909 | − | 19.0315i | 0.547269 | − | 0.631582i | ||||
\(909\) | 13.6295 | − | 15.7293i | 0.452062 | − | 0.521707i | ||||
\(910\) | 2.68996 | − | 0.789845i | 0.0891714 | − | 0.0261831i | ||||
\(911\) | −7.07714 | − | 15.4968i | −0.234476 | − | 0.513431i | 0.755417 | − | 0.655244i | \(-0.227434\pi\) |
−0.989893 | + | 0.141813i | \(0.954707\pi\) | |||||||
\(912\) | 5.82171 | − | 3.74139i | 0.192776 | − | 0.123890i | ||||
\(913\) | −3.82352 | − | 1.12269i | −0.126540 | − | 0.0371555i | ||||
\(914\) | −3.60546 | − | 25.0765i | −0.119258 | − | 0.829457i | ||||
\(915\) | 0.377532 | − | 0.826680i | 0.0124808 | − | 0.0273292i | ||||
\(916\) | 11.8099 | − | 82.1393i | 0.390209 | − | 2.71396i | ||||
\(917\) | −0.937470 | − | 0.602476i | −0.0309580 | − | 0.0198955i | ||||
\(918\) | 32.0540 | + | 36.9923i | 1.05794 | + | 1.22093i | ||||
\(919\) | 4.71929 | 0.155675 | 0.0778376 | − | 0.996966i | \(-0.475198\pi\) | ||||
0.0778376 | + | 0.996966i | \(0.475198\pi\) | |||||||
\(920\) | 19.3807 | + | 5.41338i | 0.638964 | + | 0.178474i | ||||
\(921\) | 3.27459 | 0.107901 | ||||||||
\(922\) | 43.7919 | + | 50.5386i | 1.44221 | + | 1.66440i | ||||
\(923\) | 1.41947 | + | 0.912240i | 0.0467225 | + | 0.0300267i | ||||
\(924\) | 1.66801 | − | 11.6013i | 0.0548735 | − | 0.381654i | ||||
\(925\) | 4.36764 | − | 9.56379i | 0.143607 | − | 0.314456i | ||||
\(926\) | −1.36612 | − | 9.50159i | −0.0448936 | − | 0.312242i | ||||
\(927\) | 24.4052 | + | 7.16602i | 0.801573 | + | 0.235363i | ||||
\(928\) | 12.6508 | − | 8.13020i | 0.415284 | − | 0.266887i | ||||
\(929\) | −5.90566 | − | 12.9316i | −0.193758 | − | 0.424271i | 0.787671 | − | 0.616096i | \(-0.211287\pi\) |
−0.981429 | + | 0.191825i | \(0.938559\pi\) | |||||||
\(930\) | −23.7401 | + | 6.97073i | −0.778469 | + | 0.228579i | ||||
\(931\) | −9.05035 | + | 10.4447i | −0.296613 | + | 0.342310i | ||||
\(932\) | 39.6579 | − | 45.7677i | 1.29904 | − | 1.49917i | ||||
\(933\) | −21.5353 | + | 6.32334i | −0.705035 | + | 0.207017i | ||||
\(934\) | 7.68813 | + | 16.8347i | 0.251563 | + | 0.550847i | ||||
\(935\) | 7.81987 | − | 5.02552i | 0.255737 | − | 0.164352i | ||||
\(936\) | −6.85750 | − | 2.01354i | −0.224145 | − | 0.0658148i | ||||
\(937\) | 2.42548 | + | 16.8696i | 0.0792371 | + | 0.551106i | 0.990311 | + | 0.138864i | \(0.0443451\pi\) |
−0.911074 | + | 0.412242i | \(0.864746\pi\) | |||||||
\(938\) | −13.5619 | + | 29.6965i | −0.442813 | + | 0.969625i | ||||
\(939\) | 1.70934 | − | 11.8887i | 0.0557822 | − | 0.387974i | ||||
\(940\) | 27.4889 | + | 17.6660i | 0.896589 | + | 0.576203i | ||||
\(941\) | −22.0089 | − | 25.3997i | −0.717471 | − | 0.828005i | 0.273530 | − | 0.961863i | \(-0.411809\pi\) |
−0.991000 | + | 0.133858i | \(0.957263\pi\) | |||||||
\(942\) | −35.4121 | −1.15379 | ||||||||
\(943\) | 22.0002 | + | 24.7214i | 0.716427 | + | 0.805040i | ||||
\(944\) | 6.95700 | 0.226431 | ||||||||
\(945\) | −4.49492 | − | 5.18741i | −0.146220 | − | 0.168746i | ||||
\(946\) | 32.2791 | + | 20.7445i | 1.04948 | + | 0.674462i | ||||
\(947\) | −1.50709 | + | 10.4821i | −0.0489740 | + | 0.340622i | 0.950572 | + | 0.310503i | \(0.100498\pi\) |
−0.999546 | + | 0.0301184i | \(0.990412\pi\) | |||||||
\(948\) | 22.8926 | − | 50.1279i | 0.743519 | − | 1.62808i | ||||
\(949\) | 0.983322 | + | 6.83915i | 0.0319200 | + | 0.222008i | ||||
\(950\) | −6.21585 | − | 1.82514i | −0.201669 | − | 0.0592153i | ||||
\(951\) | −24.0277 | + | 15.4417i | −0.779152 | + | 0.500731i | ||||
\(952\) | 9.76879 | + | 21.3907i | 0.316608 | + | 0.693275i | ||||
\(953\) | 22.6166 | − | 6.64084i | 0.732624 | − | 0.215118i | 0.105920 | − | 0.994375i | \(-0.466221\pi\) |
0.626705 | + | 0.779257i | \(0.284403\pi\) | |||||||
\(954\) | −21.4532 | + | 24.7583i | −0.694573 | + | 0.801579i | ||||
\(955\) | 12.0782 | − | 13.9390i | 0.390841 | − | 0.451055i | ||||
\(956\) | 25.8849 | − | 7.60049i | 0.837177 | − | 0.245817i | ||||
\(957\) | 6.32287 | + | 13.8451i | 0.204389 | + | 0.447550i | ||||
\(958\) | 46.0239 | − | 29.5778i | 1.48697 | − | 0.955614i | ||||
\(959\) | −16.1274 | − | 4.73543i | −0.520781 | − | 0.152915i | ||||
\(960\) | 1.49674 | + | 10.4101i | 0.0483072 | + | 0.335984i | ||||
\(961\) | 31.3515 | − | 68.6502i | 1.01134 | − | 2.21452i | ||||
\(962\) | 3.05574 | − | 21.2531i | 0.0985211 | − | 0.685229i | ||||
\(963\) | −19.1167 | − | 12.2855i | −0.616026 | − | 0.395896i | ||||
\(964\) | −45.8733 | − | 52.9406i | −1.47748 | − | 1.70510i | ||||
\(965\) | 7.62993 | 0.245616 | ||||||||
\(966\) | 13.3924 | + | 8.35862i | 0.430893 | + | 0.268934i | ||||
\(967\) | −0.637460 | −0.0204993 | −0.0102497 | − | 0.999947i | \(-0.503263\pi\) | ||||
−0.0102497 | + | 0.999947i | \(0.503263\pi\) | |||||||
\(968\) | −15.9804 | − | 18.4423i | −0.513628 | − | 0.592758i | ||||
\(969\) | 9.27887 | + | 5.96316i | 0.298080 | + | 0.191564i | ||||
\(970\) | −3.72102 | + | 25.8802i | −0.119475 | + | 0.830964i | ||||
\(971\) | 5.18090 | − | 11.3446i | 0.166263 | − | 0.364065i | −0.808101 | − | 0.589045i | \(-0.799504\pi\) |
0.974363 | + | 0.224980i | \(0.0722315\pi\) | |||||||
\(972\) | 8.53847 | + | 59.3864i | 0.273872 | + | 1.90482i | ||||
\(973\) | 22.7596 | + | 6.68282i | 0.729639 | + | 0.214241i | ||||
\(974\) | 9.49929 | − | 6.10482i | 0.304377 | − | 0.195611i | ||||
\(975\) | −0.353799 | − | 0.774713i | −0.0113306 | − | 0.0248107i | ||||
\(976\) | −2.23360 | + | 0.655845i | −0.0714959 | + | 0.0209931i | ||||
\(977\) | 11.8252 | − | 13.6470i | 0.378321 | − | 0.436605i | −0.534374 | − | 0.845248i | \(-0.679452\pi\) |
0.912694 | + | 0.408643i | \(0.133998\pi\) | |||||||
\(978\) | 9.47439 | − | 10.9340i | 0.302957 | − | 0.349632i | ||||
\(979\) | 11.6148 | − | 3.41042i | 0.371211 | − | 0.108997i | ||||
\(980\) | 7.96850 | + | 17.4486i | 0.254545 | + | 0.557375i | ||||
\(981\) | −7.19509 | + | 4.62400i | −0.229721 | + | 0.147633i | ||||
\(982\) | −35.6906 | − | 10.4797i | −1.13893 | − | 0.334421i | ||||
\(983\) | 3.87317 | + | 26.9385i | 0.123535 | + | 0.859204i | 0.953501 | + | 0.301390i | \(0.0974506\pi\) |
−0.829966 | + | 0.557814i | \(0.811640\pi\) | |||||||
\(984\) | 12.0275 | − | 26.3366i | 0.383423 | − | 0.839580i | ||||
\(985\) | −1.58132 | + | 10.9983i | −0.0503851 | + | 0.350436i | ||||
\(986\) | −55.0537 | − | 35.3808i | −1.75327 | − | 1.12676i | ||||
\(987\) | 7.83379 | + | 9.04068i | 0.249352 | + | 0.287768i | ||||
\(988\) | −8.62812 | −0.274497 | ||||||||
\(989\) | −28.1111 | + | 18.5957i | −0.893880 | + | 0.591308i | ||||
\(990\) | 10.9193 | 0.347037 | ||||||||
\(991\) | 17.4533 | + | 20.1422i | 0.554423 | + | 0.639839i | 0.961908 | − | 0.273373i | \(-0.0881395\pi\) |
−0.407485 | + | 0.913212i | \(0.633594\pi\) | |||||||
\(992\) | −19.5271 | − | 12.5493i | −0.619986 | − | 0.398441i | ||||
\(993\) | −3.88796 | + | 27.0414i | −0.123381 | + | 0.858132i | ||||
\(994\) | 2.70918 | − | 5.93227i | 0.0859298 | − | 0.188160i | ||||
\(995\) | −1.96363 | − | 13.6573i | −0.0622512 | − | 0.432966i | ||||
\(996\) | −6.29705 | − | 1.84898i | −0.199530 | − | 0.0585872i | ||||
\(997\) | 32.9143 | − | 21.1527i | 1.04241 | − | 0.669913i | 0.0968246 | − | 0.995301i | \(-0.469131\pi\) |
0.945580 | + | 0.325388i | \(0.105495\pi\) | |||||||
\(998\) | −20.5687 | − | 45.0392i | −0.651091 | − | 1.42569i | ||||
\(999\) | −50.4401 | + | 14.8106i | −1.59586 | + | 0.468585i |
(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 | 115.2.g.a.36.1 | yes | 10 | |
5.2 | odd | 4 | 575.2.p.a.174.1 | 20 | |||
5.3 | odd | 4 | 575.2.p.a.174.2 | 20 | |||
5.4 | even | 2 | 575.2.k.a.151.1 | 10 | |||
23.4 | even | 11 | 2645.2.a.n.1.1 | 5 | |||
23.16 | even | 11 | inner | 115.2.g.a.16.1 | ✓ | 10 | |
23.19 | odd | 22 | 2645.2.a.o.1.1 | 5 | |||
115.39 | even | 22 | 575.2.k.a.476.1 | 10 | |||
115.62 | odd | 44 | 575.2.p.a.499.2 | 20 | |||
115.108 | odd | 44 | 575.2.p.a.499.1 | 20 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
115.2.g.a.16.1 | ✓ | 10 | 23.16 | even | 11 | inner | |
115.2.g.a.36.1 | yes | 10 | 1.1 | even | 1 | trivial | |
575.2.k.a.151.1 | 10 | 5.4 | even | 2 | |||
575.2.k.a.476.1 | 10 | 115.39 | even | 22 | |||
575.2.p.a.174.1 | 20 | 5.2 | odd | 4 | |||
575.2.p.a.174.2 | 20 | 5.3 | odd | 4 | |||
575.2.p.a.499.1 | 20 | 115.108 | odd | 44 | |||
575.2.p.a.499.2 | 20 | 115.62 | odd | 44 | |||
2645.2.a.n.1.1 | 5 | 23.4 | even | 11 | |||
2645.2.a.o.1.1 | 5 | 23.19 | odd | 22 |