Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [67,2,Mod(9,67)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(67, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("67.9");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 67 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 67.e (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: | \(0.534997693543\) |
Analytic rank: | \(0\) |
Dimension: | \(20\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{11})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{20} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{20} - 7 x^{19} + 39 x^{18} - 148 x^{17} + 492 x^{16} - 1282 x^{15} + 2921 x^{14} - 4316 x^{13} + \cdots + 4489 \) |
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 | 22.1 | ||
Root | \(-0.165981 + 0.106669i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 67.22 |
Dual form | 67.2.e.c.64.1 |
$q$-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 \(\left(\mathbb{Z}/67\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{10}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.25667 | − | 0.368991i | 0.888599 | − | 0.260916i | 0.194592 | − | 0.980884i | \(-0.437662\pi\) |
0.694007 | + | 0.719968i | \(0.255844\pi\) | |||||||
\(3\) | −0.385764 | − | 2.68305i | −0.222721 | − | 1.54906i | −0.727681 | − | 0.685916i | \(-0.759402\pi\) |
0.504960 | − | 0.863143i | \(-0.331507\pi\) | |||||||
\(4\) | −0.239446 | + | 0.153882i | −0.119723 | + | 0.0769412i | ||||
\(5\) | −1.35049 | + | 2.95717i | −0.603959 | + | 1.32248i | 0.322672 | + | 0.946511i | \(0.395419\pi\) |
−0.926630 | + | 0.375974i | \(0.877308\pi\) | |||||||
\(6\) | −1.47480 | − | 3.22936i | −0.602084 | − | 1.31838i | ||||
\(7\) | 4.00914 | − | 1.17719i | 1.51531 | − | 0.444936i | 0.584794 | − | 0.811182i | \(-0.301175\pi\) |
0.930518 | + | 0.366246i | \(0.119357\pi\) | |||||||
\(8\) | −1.95949 | + | 2.26138i | −0.692785 | + | 0.799517i | ||||
\(9\) | −4.17146 | + | 1.22485i | −1.39049 | + | 0.408283i | ||||
\(10\) | −0.605953 | + | 4.21450i | −0.191619 | + | 1.33274i | ||||
\(11\) | −0.0622997 | + | 0.136417i | −0.0187841 | + | 0.0411314i | −0.918792 | − | 0.394743i | \(-0.870834\pi\) |
0.900007 | + | 0.435875i | \(0.143561\pi\) | |||||||
\(12\) | 0.505244 | + | 0.583082i | 0.145851 | + | 0.168321i | ||||
\(13\) | −0.628542 | − | 0.725376i | −0.174326 | − | 0.201183i | 0.661862 | − | 0.749626i | \(-0.269766\pi\) |
−0.836188 | + | 0.548442i | \(0.815221\pi\) | |||||||
\(14\) | 4.60379 | − | 2.95867i | 1.23041 | − | 0.790739i | ||||
\(15\) | 8.45519 | + | 2.48267i | 2.18312 | + | 0.641022i | ||||
\(16\) | −1.39153 | + | 3.04702i | −0.347882 | + | 0.761755i | ||||
\(17\) | −0.311139 | − | 0.199957i | −0.0754622 | − | 0.0484966i | 0.502366 | − | 0.864655i | \(-0.332463\pi\) |
−0.577828 | + | 0.816159i | \(0.696100\pi\) | |||||||
\(18\) | −4.79018 | + | 3.07846i | −1.12906 | + | 0.725600i | ||||
\(19\) | −7.59646 | − | 2.23052i | −1.74275 | − | 0.511717i | −0.753435 | − | 0.657523i | \(-0.771604\pi\) |
−0.989313 | + | 0.145806i | \(0.953423\pi\) | |||||||
\(20\) | −0.131686 | − | 0.915898i | −0.0294459 | − | 0.204801i | ||||
\(21\) | −4.70504 | − | 10.3026i | −1.02672 | − | 2.24821i | ||||
\(22\) | −0.0279533 | + | 0.194419i | −0.00595966 | + | 0.0414504i | ||||
\(23\) | 0.206011 | + | 1.43284i | 0.0429563 | + | 0.298768i | 0.999962 | + | 0.00869922i | \(0.00276908\pi\) |
−0.957006 | + | 0.290069i | \(0.906322\pi\) | |||||||
\(24\) | 6.82328 | + | 4.38506i | 1.39280 | + | 0.895096i | ||||
\(25\) | −3.64670 | − | 4.20851i | −0.729339 | − | 0.841702i | ||||
\(26\) | −1.05753 | − | 0.679631i | −0.207398 | − | 0.133287i | ||||
\(27\) | 1.51741 | + | 3.32266i | 0.292026 | + | 0.639447i | ||||
\(28\) | −0.778822 | + | 0.898809i | −0.147184 | + | 0.169859i | ||||
\(29\) | 1.51049 | 0.280490 | 0.140245 | − | 0.990117i | \(-0.455211\pi\) | ||||
0.140245 | + | 0.990117i | \(0.455211\pi\) | |||||||
\(30\) | 11.5415 | 2.10717 | ||||||||
\(31\) | 3.08248 | − | 3.55737i | 0.553630 | − | 0.638923i | −0.408095 | − | 0.912939i | \(-0.633807\pi\) |
0.961725 | + | 0.274016i | \(0.0883522\pi\) | |||||||
\(32\) | 0.227312 | − | 1.58099i | 0.0401835 | − | 0.279482i | ||||
\(33\) | 0.390047 | + | 0.114528i | 0.0678985 | + | 0.0199368i | ||||
\(34\) | −0.464780 | − | 0.136472i | −0.0797092 | − | 0.0234047i | ||||
\(35\) | −1.93317 | + | 13.4455i | −0.326765 | + | 2.27270i | ||||
\(36\) | 0.810354 | − | 0.935199i | 0.135059 | − | 0.155866i | ||||
\(37\) | 4.71809 | 0.775648 | 0.387824 | − | 0.921733i | \(-0.373227\pi\) | ||||
0.387824 | + | 0.921733i | \(0.373227\pi\) | |||||||
\(38\) | −10.3693 | −1.68212 | ||||||||
\(39\) | −1.70375 | + | 1.96623i | −0.272818 | + | 0.314849i | ||||
\(40\) | −4.04098 | − | 8.84852i | −0.638935 | − | 1.39907i | ||||
\(41\) | 3.83945 | + | 2.46746i | 0.599621 | + | 0.385353i | 0.804952 | − | 0.593339i | \(-0.202191\pi\) |
−0.205331 | + | 0.978693i | \(0.565827\pi\) | |||||||
\(42\) | −9.71424 | − | 11.2108i | −1.49894 | − | 1.72987i | ||||
\(43\) | 6.83054 | + | 4.38972i | 1.04165 | + | 0.669426i | 0.945394 | − | 0.325931i | \(-0.105678\pi\) |
0.0962538 | + | 0.995357i | \(0.469314\pi\) | |||||||
\(44\) | −0.00607483 | − | 0.0422514i | −0.000915816 | − | 0.00636964i | ||||
\(45\) | 2.01143 | − | 13.9898i | 0.299847 | − | 2.08548i | ||||
\(46\) | 0.787594 | + | 1.72459i | 0.116124 | + | 0.254277i | ||||
\(47\) | −0.238631 | − | 1.65971i | −0.0348079 | − | 0.242094i | 0.964988 | − | 0.262294i | \(-0.0844789\pi\) |
−0.999796 | + | 0.0201996i | \(0.993570\pi\) | |||||||
\(48\) | 8.71210 | + | 2.55810i | 1.25748 | + | 0.369230i | ||||
\(49\) | 8.79864 | − | 5.65454i | 1.25695 | − | 0.807792i | ||||
\(50\) | −6.13559 | − | 3.94311i | −0.867704 | − | 0.557639i | ||||
\(51\) | −0.416467 | + | 0.911936i | −0.0583171 | + | 0.127697i | ||||
\(52\) | 0.262124 | + | 0.0769666i | 0.0363501 | + | 0.0106734i | ||||
\(53\) | −7.23687 | + | 4.65086i | −0.994061 | + | 0.638844i | −0.933221 | − | 0.359303i | \(-0.883014\pi\) |
−0.0608403 | + | 0.998148i | \(0.519378\pi\) | |||||||
\(54\) | 3.13291 | + | 3.61558i | 0.426336 | + | 0.492018i | ||||
\(55\) | −0.319274 | − | 0.368461i | −0.0430508 | − | 0.0496833i | ||||
\(56\) | −5.19381 | + | 11.3729i | −0.694052 | + | 1.51976i | ||||
\(57\) | −3.05416 | + | 21.2421i | −0.404533 | + | 2.81359i | ||||
\(58\) | 1.89818 | − | 0.557356i | 0.249243 | − | 0.0731844i | ||||
\(59\) | 6.70083 | − | 7.73317i | 0.872373 | − | 1.00677i | −0.127515 | − | 0.991837i | \(-0.540700\pi\) |
0.999888 | − | 0.0149359i | \(-0.00475442\pi\) | |||||||
\(60\) | −2.40660 | + | 0.706641i | −0.310690 | + | 0.0912270i | ||||
\(61\) | −0.894613 | − | 1.95893i | −0.114544 | − | 0.250815i | 0.843674 | − | 0.536856i | \(-0.180388\pi\) |
−0.958218 | + | 0.286040i | \(0.907661\pi\) | |||||||
\(62\) | 2.56102 | − | 5.60785i | 0.325250 | − | 0.712197i | ||||
\(63\) | −15.2821 | + | 9.82119i | −1.92536 | + | 1.23735i | ||||
\(64\) | −1.25115 | − | 8.70192i | −0.156393 | − | 1.08774i | ||||
\(65\) | 2.99390 | − | 0.879088i | 0.371347 | − | 0.109037i | ||||
\(66\) | 0.532420 | 0.0655364 | ||||||||
\(67\) | −6.69173 | + | 4.71389i | −0.817525 | + | 0.575893i | ||||
\(68\) | 0.105271 | 0.0127659 | ||||||||
\(69\) | 3.76491 | − | 1.10548i | 0.453242 | − | 0.133084i | ||||
\(70\) | 2.53191 | + | 17.6098i | 0.302621 | + | 2.10478i | ||||
\(71\) | −4.93184 | + | 3.16950i | −0.585302 | + | 0.376151i | −0.799524 | − | 0.600634i | \(-0.794915\pi\) |
0.214222 | + | 0.976785i | \(0.431278\pi\) | |||||||
\(72\) | 5.40409 | − | 11.8333i | 0.636878 | − | 1.39457i | ||||
\(73\) | −2.85782 | − | 6.25776i | −0.334483 | − | 0.732415i | 0.665419 | − | 0.746470i | \(-0.268253\pi\) |
−0.999901 | + | 0.0140556i | \(0.995526\pi\) | |||||||
\(74\) | 5.92907 | − | 1.74093i | 0.689240 | − | 0.202379i | ||||
\(75\) | −9.88488 | + | 11.4078i | −1.14141 | + | 1.31725i | ||||
\(76\) | 2.16218 | − | 0.634873i | 0.248019 | − | 0.0728249i | ||||
\(77\) | −0.0891792 | + | 0.620255i | −0.0101629 | + | 0.0706846i | ||||
\(78\) | −1.41553 | + | 3.09957i | −0.160277 | + | 0.350957i | ||||
\(79\) | 1.57181 | + | 1.81396i | 0.176842 | + | 0.204087i | 0.837250 | − | 0.546820i | \(-0.184162\pi\) |
−0.660408 | + | 0.750907i | \(0.729617\pi\) | |||||||
\(80\) | −7.13129 | − | 8.22995i | −0.797303 | − | 0.920136i | ||||
\(81\) | −2.64270 | + | 1.69836i | −0.293634 | + | 0.188707i | ||||
\(82\) | 5.73539 | + | 1.68406i | 0.633368 | + | 0.185974i | ||||
\(83\) | 0.453939 | − | 0.993987i | 0.0498262 | − | 0.109104i | −0.883082 | − | 0.469219i | \(-0.844535\pi\) |
0.932908 | + | 0.360115i | \(0.117263\pi\) | |||||||
\(84\) | 2.71199 | + | 1.74289i | 0.295902 | + | 0.190165i | ||||
\(85\) | 1.01150 | − | 0.650049i | 0.109712 | − | 0.0705077i | ||||
\(86\) | 10.2035 | + | 2.99602i | 1.10027 | + | 0.323069i | ||||
\(87\) | −0.582691 | − | 4.05271i | −0.0624710 | − | 0.434496i | ||||
\(88\) | −0.186415 | − | 0.408192i | −0.0198719 | − | 0.0435134i | ||||
\(89\) | −1.38903 | + | 9.66095i | −0.147237 | + | 1.02406i | 0.773478 | + | 0.633823i | \(0.218515\pi\) |
−0.920715 | + | 0.390235i | \(0.872394\pi\) | |||||||
\(90\) | −2.63442 | − | 18.3228i | −0.277692 | − | 1.93139i | ||||
\(91\) | −3.37382 | − | 2.16822i | −0.353672 | − | 0.227291i | ||||
\(92\) | −0.269818 | − | 0.311386i | −0.0281304 | − | 0.0324642i | ||||
\(93\) | −10.7337 | − | 6.89814i | −1.11303 | − | 0.715304i | ||||
\(94\) | −0.912300 | − | 1.99766i | −0.0940965 | − | 0.206043i | ||||
\(95\) | 16.8550 | − | 19.4517i | 1.72929 | − | 1.99570i | ||||
\(96\) | −4.32956 | −0.441884 | ||||||||
\(97\) | −3.44598 | −0.349887 | −0.174943 | − | 0.984578i | \(-0.555974\pi\) | ||||
−0.174943 | + | 0.984578i | \(0.555974\pi\) | |||||||
\(98\) | 8.97050 | − | 10.3525i | 0.906157 | − | 1.04576i | ||||
\(99\) | 0.0927898 | − | 0.645367i | 0.00932572 | − | 0.0648618i | ||||
\(100\) | 1.52080 | + | 0.446548i | 0.152080 | + | 0.0446548i | ||||
\(101\) | −5.66839 | − | 1.66439i | −0.564026 | − | 0.165613i | −0.0127244 | − | 0.999919i | \(-0.504050\pi\) |
−0.551302 | + | 0.834306i | \(0.685869\pi\) | |||||||
\(102\) | −0.186865 | + | 1.29967i | −0.0185024 | + | 0.128687i | ||||
\(103\) | 4.73505 | − | 5.46454i | 0.466559 | − | 0.538437i | −0.472892 | − | 0.881120i | \(-0.656790\pi\) |
0.939451 | + | 0.342683i | \(0.111336\pi\) | |||||||
\(104\) | 2.87197 | 0.281620 | ||||||||
\(105\) | 36.8206 | 3.59332 | ||||||||
\(106\) | −7.37823 | + | 8.51493i | −0.716637 | + | 0.827043i | ||||
\(107\) | 7.21826 | + | 15.8058i | 0.697815 | + | 1.52800i | 0.842600 | + | 0.538540i | \(0.181024\pi\) |
−0.144785 | + | 0.989463i | \(0.546249\pi\) | |||||||
\(108\) | −0.874637 | − | 0.562095i | −0.0841620 | − | 0.0540876i | ||||
\(109\) | −2.51064 | − | 2.89744i | −0.240476 | − | 0.277524i | 0.622663 | − | 0.782490i | \(-0.286051\pi\) |
−0.863139 | + | 0.504966i | \(0.831505\pi\) | |||||||
\(110\) | −0.537180 | − | 0.345225i | −0.0512181 | − | 0.0329159i | ||||
\(111\) | −1.82007 | − | 12.6589i | −0.172753 | − | 1.20153i | ||||
\(112\) | −1.99191 | + | 13.8540i | −0.188217 | + | 1.30908i | ||||
\(113\) | −3.57527 | − | 7.82875i | −0.336333 | − | 0.736467i | 0.663599 | − | 0.748088i | \(-0.269028\pi\) |
−0.999932 | + | 0.0116213i | \(0.996301\pi\) | |||||||
\(114\) | 4.00010 | + | 27.8213i | 0.374643 | + | 2.60570i | ||||
\(115\) | −4.51536 | − | 1.32583i | −0.421060 | − | 0.123634i | ||||
\(116\) | −0.361679 | + | 0.232437i | −0.0335811 | + | 0.0215812i | ||||
\(117\) | 3.51041 | + | 2.25600i | 0.324538 | + | 0.208568i | ||||
\(118\) | 5.56725 | − | 12.1906i | 0.512507 | − | 1.12223i | ||||
\(119\) | −1.48278 | − | 0.435385i | −0.135927 | − | 0.0399117i | ||||
\(120\) | −22.1821 | + | 14.2556i | −2.02494 | + | 1.30135i | ||||
\(121\) | 7.18874 | + | 8.29625i | 0.653522 | + | 0.754204i | ||||
\(122\) | −1.84706 | − | 2.13162i | −0.167225 | − | 0.192988i | ||||
\(123\) | 5.13920 | − | 11.2533i | 0.463386 | − | 1.01467i | ||||
\(124\) | −0.190670 | + | 1.32614i | −0.0171227 | + | 0.119091i | ||||
\(125\) | 1.77380 | − | 0.520834i | 0.158653 | − | 0.0465848i | ||||
\(126\) | −15.5806 | + | 17.9809i | −1.38803 | + | 1.60187i | ||||
\(127\) | 14.0877 | − | 4.13652i | 1.25008 | − | 0.367057i | 0.411287 | − | 0.911506i | \(-0.365080\pi\) |
0.838794 | + | 0.544449i | \(0.183261\pi\) | |||||||
\(128\) | −3.45617 | − | 7.56795i | −0.305485 | − | 0.668919i | ||||
\(129\) | 9.14286 | − | 20.0201i | 0.804984 | − | 1.76267i | ||||
\(130\) | 3.43796 | − | 2.20944i | 0.301529 | − | 0.193781i | ||||
\(131\) | −0.401852 | − | 2.79494i | −0.0351099 | − | 0.244195i | 0.964707 | − | 0.263325i | \(-0.0848193\pi\) |
−0.999817 | + | 0.0191305i | \(0.993910\pi\) | |||||||
\(132\) | −0.111019 | + | 0.0325981i | −0.00966297 | + | 0.00283730i | ||||
\(133\) | −33.0810 | −2.86849 | ||||||||
\(134\) | −6.66991 | + | 8.39298i | −0.576192 | + | 0.725043i | ||||
\(135\) | −11.8749 | −1.02203 | ||||||||
\(136\) | 1.06185 | − | 0.311788i | 0.0910530 | − | 0.0267356i | ||||
\(137\) | 0.815236 | + | 5.67009i | 0.0696503 | + | 0.484428i | 0.994554 | + | 0.104226i | \(0.0332365\pi\) |
−0.924903 | + | 0.380202i | \(0.875854\pi\) | |||||||
\(138\) | 4.32333 | − | 2.77844i | 0.368026 | − | 0.236516i | ||||
\(139\) | −9.08369 | + | 19.8905i | −0.770469 | + | 1.68709i | −0.0448502 | + | 0.998994i | \(0.514281\pi\) |
−0.725618 | + | 0.688097i | \(0.758446\pi\) | |||||||
\(140\) | −1.60613 | − | 3.51694i | −0.135743 | − | 0.297236i | ||||
\(141\) | −4.36104 | + | 1.28052i | −0.367266 | + | 0.107839i | ||||
\(142\) | −5.02817 | + | 5.80282i | −0.421955 | + | 0.486962i | ||||
\(143\) | 0.138112 | − | 0.0405533i | 0.0115495 | − | 0.00339124i | ||||
\(144\) | 2.07255 | − | 14.4149i | 0.172713 | − | 1.20124i | ||||
\(145\) | −2.03990 | + | 4.46676i | −0.169404 | + | 0.370944i | ||||
\(146\) | −5.90039 | − | 6.80941i | −0.488320 | − | 0.563551i | ||||
\(147\) | −18.5656 | − | 21.4259i | −1.53127 | − | 1.76718i | ||||
\(148\) | −1.12973 | + | 0.726030i | −0.0928629 | + | 0.0596793i | ||||
\(149\) | −4.56865 | − | 1.34148i | −0.374279 | − | 0.109898i | 0.0891827 | − | 0.996015i | \(-0.471575\pi\) |
−0.463461 | + | 0.886117i | \(0.653393\pi\) | |||||||
\(150\) | −8.21265 | + | 17.9832i | −0.670560 | + | 1.46832i | ||||
\(151\) | 17.3012 | + | 11.1188i | 1.40796 | + | 0.904838i | 0.999967 | − | 0.00814880i | \(-0.00259387\pi\) |
0.407989 | + | 0.912987i | \(0.366230\pi\) | |||||||
\(152\) | 19.9293 | − | 12.8078i | 1.61648 | − | 1.03885i | ||||
\(153\) | 1.54282 | + | 0.453012i | 0.124729 | + | 0.0366239i | ||||
\(154\) | 0.116800 | + | 0.812361i | 0.00941200 | + | 0.0654619i | ||||
\(155\) | 6.35688 | + | 13.9196i | 0.510596 | + | 1.11805i | ||||
\(156\) | 0.105387 | − | 0.732983i | 0.00843772 | − | 0.0586856i | ||||
\(157\) | 1.47742 | + | 10.2757i | 0.117911 | + | 0.820087i | 0.959850 | + | 0.280515i | \(0.0905051\pi\) |
−0.841939 | + | 0.539573i | \(0.818586\pi\) | |||||||
\(158\) | 2.64458 | + | 1.69957i | 0.210391 | + | 0.135210i | ||||
\(159\) | 15.2702 | + | 17.6228i | 1.21101 | + | 1.39758i | ||||
\(160\) | 4.36827 | + | 2.80732i | 0.345342 | + | 0.221938i | ||||
\(161\) | 2.51265 | + | 5.50194i | 0.198025 | + | 0.433614i | ||||
\(162\) | −2.69432 | + | 3.10941i | −0.211686 | + | 0.244298i | ||||
\(163\) | −1.72259 | −0.134924 | −0.0674620 | − | 0.997722i | \(-0.521490\pi\) | ||||
−0.0674620 | + | 0.997722i | \(0.521490\pi\) | |||||||
\(164\) | −1.29904 | −0.101438 | ||||||||
\(165\) | −0.865435 | + | 0.998765i | −0.0673740 | + | 0.0777538i | ||||
\(166\) | 0.203678 | − | 1.41661i | 0.0158085 | − | 0.109950i | ||||
\(167\) | −11.7758 | − | 3.45767i | −0.911236 | − | 0.267563i | −0.207675 | − | 0.978198i | \(-0.566590\pi\) |
−0.703561 | + | 0.710635i | \(0.748408\pi\) | |||||||
\(168\) | 32.5175 | + | 9.54801i | 2.50878 | + | 0.736645i | ||||
\(169\) | 1.71899 | − | 11.9558i | 0.132230 | − | 0.919678i | ||||
\(170\) | 1.03125 | − | 1.19013i | 0.0790934 | − | 0.0912787i | ||||
\(171\) | 34.4204 | 2.63219 | ||||||||
\(172\) | −2.31104 | −0.176215 | ||||||||
\(173\) | 14.9753 | − | 17.2824i | 1.13855 | − | 1.31396i | 0.195730 | − | 0.980658i | \(-0.437292\pi\) |
0.942821 | − | 0.333300i | \(-0.108162\pi\) | |||||||
\(174\) | −2.22766 | − | 4.87790i | −0.168879 | − | 0.369793i | ||||
\(175\) | −19.5743 | − | 12.5797i | −1.47968 | − | 0.950933i | ||||
\(176\) | −0.328975 | − | 0.379657i | −0.0247974 | − | 0.0286177i | ||||
\(177\) | −23.3334 | − | 14.9955i | −1.75385 | − | 1.12713i | ||||
\(178\) | 1.81925 | + | 12.6531i | 0.136358 | + | 0.948394i | ||||
\(179\) | 3.36497 | − | 23.4039i | 0.251510 | − | 1.74929i | −0.337649 | − | 0.941272i | \(-0.609632\pi\) |
0.589159 | − | 0.808017i | \(-0.299459\pi\) | |||||||
\(180\) | 1.67116 | + | 3.65933i | 0.124561 | + | 0.272750i | ||||
\(181\) | 0.788465 | + | 5.48390i | 0.0586062 | + | 0.407615i | 0.997915 | + | 0.0645420i | \(0.0205587\pi\) |
−0.939309 | + | 0.343073i | \(0.888532\pi\) | |||||||
\(182\) | −5.03982 | − | 1.47983i | −0.373577 | − | 0.109692i | ||||
\(183\) | −4.91079 | + | 3.15598i | −0.363016 | + | 0.233296i | ||||
\(184\) | −3.64387 | − | 2.34177i | −0.268630 | − | 0.172638i | ||||
\(185\) | −6.37174 | + | 13.9522i | −0.468460 | + | 1.02578i | ||||
\(186\) | −16.0341 | − | 4.70803i | −1.17568 | − | 0.345209i | ||||
\(187\) | 0.0466614 | − | 0.0299875i | 0.00341222 | − | 0.00219290i | ||||
\(188\) | 0.312540 | + | 0.360690i | 0.0227943 | + | 0.0263060i | ||||
\(189\) | 9.99491 | + | 11.5347i | 0.727023 | + | 0.839029i | ||||
\(190\) | 14.0036 | − | 30.6637i | 1.01593 | − | 2.22458i | ||||
\(191\) | 2.91992 | − | 20.3085i | 0.211278 | − | 1.46947i | −0.557618 | − | 0.830097i | \(-0.688285\pi\) |
0.768896 | − | 0.639373i | \(-0.220806\pi\) | |||||||
\(192\) | −22.8650 | + | 6.71378i | −1.65014 | + | 0.484525i | ||||
\(193\) | −9.56885 | + | 11.0430i | −0.688781 | + | 0.794896i | −0.987191 | − | 0.159542i | \(-0.948998\pi\) |
0.298410 | + | 0.954438i | \(0.403544\pi\) | |||||||
\(194\) | −4.33046 | + | 1.27154i | −0.310909 | + | 0.0912911i | ||||
\(195\) | −3.51357 | − | 7.69365i | −0.251612 | − | 0.550954i | ||||
\(196\) | −1.23666 | + | 2.70791i | −0.0883330 | + | 0.193422i | ||||
\(197\) | −12.8372 | + | 8.24996i | −0.914612 | + | 0.587785i | −0.911090 | − | 0.412208i | \(-0.864758\pi\) |
−0.00352230 | + | 0.999994i | \(0.501121\pi\) | |||||||
\(198\) | −0.121529 | − | 0.845251i | −0.00863667 | − | 0.0600694i | ||||
\(199\) | −0.567438 | + | 0.166615i | −0.0402246 | + | 0.0118110i | −0.301783 | − | 0.953377i | \(-0.597582\pi\) |
0.261558 | + | 0.965188i | \(0.415764\pi\) | |||||||
\(200\) | 16.6627 | 1.17823 | ||||||||
\(201\) | 15.2290 | + | 16.1358i | 1.07417 | + | 1.13813i | ||||
\(202\) | −7.73743 | −0.544404 | ||||||||
\(203\) | 6.05575 | − | 1.77813i | 0.425030 | − | 0.124800i | ||||
\(204\) | −0.0406096 | − | 0.282446i | −0.00284324 | − | 0.0197752i | ||||
\(205\) | −12.4818 | + | 8.02160i | −0.871770 | + | 0.560253i | ||||
\(206\) | 3.93402 | − | 8.61431i | 0.274097 | − | 0.600188i | ||||
\(207\) | −2.61438 | − | 5.72470i | −0.181712 | − | 0.397894i | ||||
\(208\) | 3.08487 | − | 0.905799i | 0.213897 | − | 0.0628058i | ||||
\(209\) | 0.777540 | − | 0.897329i | 0.0537835 | − | 0.0620695i | ||||
\(210\) | 46.2713 | − | 13.5865i | 3.19302 | − | 0.937556i | ||||
\(211\) | 3.45407 | − | 24.0236i | 0.237788 | − | 1.65385i | −0.425110 | − | 0.905142i | \(-0.639765\pi\) |
0.662898 | − | 0.748709i | \(-0.269326\pi\) | |||||||
\(212\) | 1.01715 | − | 2.22726i | 0.0698584 | − | 0.152969i | ||||
\(213\) | 10.4065 | + | 12.0097i | 0.713038 | + | 0.822890i | ||||
\(214\) | 14.9032 | + | 17.1992i | 1.01876 | + | 1.17571i | ||||
\(215\) | −22.2057 | + | 14.2708i | −1.51442 | + | 0.973257i | ||||
\(216\) | −10.4871 | − | 3.07930i | −0.713560 | − | 0.209520i | ||||
\(217\) | 8.17039 | − | 17.8907i | 0.554642 | − | 1.21450i | ||||
\(218\) | −4.22417 | − | 2.71471i | −0.286097 | − | 0.183863i | ||||
\(219\) | −15.6874 | + | 10.0817i | −1.06006 | + | 0.681258i | ||||
\(220\) | 0.133148 | + | 0.0390959i | 0.00897686 | + | 0.00263584i | ||||
\(221\) | 0.0505199 | + | 0.351374i | 0.00339834 | + | 0.0236359i | ||||
\(222\) | −6.95823 | − | 15.2364i | −0.467006 | − | 1.02260i | ||||
\(223\) | −1.77542 | + | 12.3484i | −0.118891 | + | 0.826907i | 0.839889 | + | 0.542758i | \(0.182620\pi\) |
−0.958780 | + | 0.284149i | \(0.908289\pi\) | |||||||
\(224\) | −0.949799 | − | 6.60600i | −0.0634611 | − | 0.441382i | ||||
\(225\) | 20.3668 | + | 13.0890i | 1.35779 | + | 0.872598i | ||||
\(226\) | −7.38167 | − | 8.51890i | −0.491021 | − | 0.566669i | ||||
\(227\) | −1.89772 | − | 1.21959i | −0.125956 | − | 0.0809470i | 0.476146 | − | 0.879366i | \(-0.342033\pi\) |
−0.602102 | + | 0.798419i | \(0.705670\pi\) | |||||||
\(228\) | −2.53749 | − | 5.55632i | −0.168049 | − | 0.367976i | ||||
\(229\) | 4.28084 | − | 4.94036i | 0.282886 | − | 0.326468i | −0.596468 | − | 0.802637i | \(-0.703430\pi\) |
0.879354 | + | 0.476169i | \(0.157975\pi\) | |||||||
\(230\) | −6.16354 | −0.406412 | ||||||||
\(231\) | 1.69858 | 0.111758 | ||||||||
\(232\) | −2.95979 | + | 3.41577i | −0.194319 | + | 0.224257i | ||||
\(233\) | −1.25509 | + | 8.72935i | −0.0822237 | + | 0.571879i | 0.906509 | + | 0.422187i | \(0.138737\pi\) |
−0.988733 | + | 0.149692i | \(0.952172\pi\) | |||||||
\(234\) | 5.24387 | + | 1.53974i | 0.342802 | + | 0.100656i | ||||
\(235\) | 5.23032 | + | 1.53576i | 0.341188 | + | 0.100182i | ||||
\(236\) | −0.414486 | + | 2.88281i | −0.0269807 | + | 0.187655i | ||||
\(237\) | 4.26060 | − | 4.91700i | 0.276756 | − | 0.319393i | ||||
\(238\) | −2.02402 | −0.131198 | ||||||||
\(239\) | −26.6058 | −1.72098 | −0.860492 | − | 0.509464i | \(-0.829844\pi\) | ||||
−0.860492 | + | 0.509464i | \(0.829844\pi\) | |||||||
\(240\) | −19.3304 | + | 22.3084i | −1.24777 | + | 1.44000i | ||||
\(241\) | 0.196911 | + | 0.431174i | 0.0126841 | + | 0.0277744i | 0.915868 | − | 0.401479i | \(-0.131504\pi\) |
−0.903184 | + | 0.429254i | \(0.858777\pi\) | |||||||
\(242\) | 12.0951 | + | 7.77305i | 0.777503 | + | 0.499671i | ||||
\(243\) | 12.7524 | + | 14.7170i | 0.818066 | + | 0.944098i | ||||
\(244\) | 0.515656 | + | 0.331392i | 0.0330115 | + | 0.0212152i | ||||
\(245\) | 4.83893 | + | 33.6555i | 0.309148 | + | 2.15017i | ||||
\(246\) | 2.30591 | − | 16.0380i | 0.147020 | − | 1.02254i | ||||
\(247\) | 3.15673 | + | 6.91227i | 0.200858 | + | 0.439817i | ||||
\(248\) | 2.00446 | + | 13.9413i | 0.127283 | + | 0.885273i | ||||
\(249\) | −2.84203 | − | 0.834495i | −0.180106 | − | 0.0528840i | ||||
\(250\) | 2.03689 | − | 1.30903i | 0.128824 | − | 0.0827904i | ||||
\(251\) | −22.2179 | − | 14.2786i | −1.40238 | − | 0.901256i | −0.402482 | − | 0.915428i | \(-0.631852\pi\) |
−0.999900 | + | 0.0141724i | \(0.995489\pi\) | |||||||
\(252\) | 2.14792 | − | 4.70328i | 0.135306 | − | 0.296279i | ||||
\(253\) | −0.208299 | − | 0.0611621i | −0.0130956 | − | 0.00384523i | ||||
\(254\) | 16.1772 | − | 10.3965i | 1.01505 | − | 0.652332i | ||||
\(255\) | −2.13431 | − | 2.46313i | −0.133656 | − | 0.154247i | ||||
\(256\) | 4.37853 | + | 5.05309i | 0.273658 | + | 0.315818i | ||||
\(257\) | −4.26965 | + | 9.34922i | −0.266333 | + | 0.583188i | −0.994795 | − | 0.101898i | \(-0.967508\pi\) |
0.728462 | + | 0.685087i | \(0.240236\pi\) | |||||||
\(258\) | 4.10231 | − | 28.5322i | 0.255399 | − | 1.77634i | ||||
\(259\) | 18.9155 | − | 5.55408i | 1.17535 | − | 0.345114i | ||||
\(260\) | −0.581600 | + | 0.671202i | −0.0360693 | + | 0.0416262i | ||||
\(261\) | −6.30092 | + | 1.85012i | −0.390017 | + | 0.114519i | ||||
\(262\) | −1.53630 | − | 3.36403i | −0.0949131 | − | 0.207831i | ||||
\(263\) | 4.19564 | − | 9.18717i | 0.258714 | − | 0.566505i | −0.735049 | − | 0.678014i | \(-0.762841\pi\) |
0.993763 | + | 0.111508i | \(0.0355682\pi\) | |||||||
\(264\) | −1.02329 | + | 0.657626i | −0.0629789 | + | 0.0404741i | ||||
\(265\) | −3.98001 | − | 27.6816i | −0.244490 | − | 1.70047i | ||||
\(266\) | −41.5719 | + | 12.2066i | −2.54894 | + | 0.748435i | ||||
\(267\) | 26.4566 | 1.61912 | ||||||||
\(268\) | 0.876922 | − | 2.15846i | 0.0535665 | − | 0.131849i | ||||
\(269\) | 21.3974 | 1.30462 | 0.652312 | − | 0.757950i | \(-0.273799\pi\) | ||||
0.652312 | + | 0.757950i | \(0.273799\pi\) | |||||||
\(270\) | −14.9228 | + | 4.38174i | −0.908175 | + | 0.266664i | ||||
\(271\) | −0.816462 | − | 5.67862i | −0.0495966 | − | 0.344952i | −0.999477 | − | 0.0323382i | \(-0.989705\pi\) |
0.949880 | − | 0.312613i | \(-0.101204\pi\) | |||||||
\(272\) | 1.04223 | − | 0.669800i | 0.0631944 | − | 0.0406126i | ||||
\(273\) | −4.51594 | + | 9.88853i | −0.273317 | + | 0.598481i | ||||
\(274\) | 3.11669 | + | 6.82461i | 0.188286 | + | 0.412290i | ||||
\(275\) | 0.801302 | − | 0.235284i | 0.0483204 | − | 0.0141881i | ||||
\(276\) | −0.731378 | + | 0.844055i | −0.0440238 | + | 0.0508062i | ||||
\(277\) | −3.42232 | + | 1.00488i | −0.205627 | + | 0.0603777i | −0.382924 | − | 0.923780i | \(-0.625083\pi\) |
0.177297 | + | 0.984157i | \(0.443265\pi\) | |||||||
\(278\) | −4.07577 | + | 28.3476i | −0.244448 | + | 1.70017i | ||||
\(279\) | −8.50119 | + | 18.6150i | −0.508953 | + | 1.11445i | ||||
\(280\) | −26.6172 | − | 30.7179i | −1.59068 | − | 1.83575i | ||||
\(281\) | 15.9051 | + | 18.3554i | 0.948818 | + | 1.09499i | 0.995374 | + | 0.0960784i | \(0.0306299\pi\) |
−0.0465560 | + | 0.998916i | \(0.514825\pi\) | |||||||
\(282\) | −5.00788 | + | 3.21837i | −0.298215 | + | 0.191651i | ||||
\(283\) | −5.31098 | − | 1.55945i | −0.315705 | − | 0.0926994i | 0.120041 | − | 0.992769i | \(-0.461697\pi\) |
−0.435746 | + | 0.900070i | \(0.643516\pi\) | |||||||
\(284\) | 0.693177 | − | 1.51785i | 0.0411325 | − | 0.0900676i | ||||
\(285\) | −58.6919 | − | 37.7190i | −3.47661 | − | 2.23428i | ||||
\(286\) | 0.158597 | − | 0.101924i | 0.00937804 | − | 0.00602690i | ||||
\(287\) | 18.2976 | + | 5.37265i | 1.08007 | + | 0.317137i | ||||
\(288\) | 0.988254 | + | 6.87346i | 0.0582334 | + | 0.405022i | ||||
\(289\) | −7.00523 | − | 15.3393i | −0.412072 | − | 0.902313i | ||||
\(290\) | −0.915283 | + | 6.36594i | −0.0537473 | + | 0.373821i | ||||
\(291\) | 1.32934 | + | 9.24574i | 0.0779271 | + | 0.541995i | ||||
\(292\) | 1.64725 | + | 1.05862i | 0.0963981 | + | 0.0619513i | ||||
\(293\) | 12.5427 | + | 14.4750i | 0.732750 | + | 0.845639i | 0.992778 | − | 0.119962i | \(-0.0382773\pi\) |
−0.260028 | + | 0.965601i | \(0.583732\pi\) | |||||||
\(294\) | −31.2368 | − | 20.0747i | −1.82177 | − | 1.17078i | ||||
\(295\) | 13.8188 | + | 30.2590i | 0.804564 | + | 1.76175i | ||||
\(296\) | −9.24506 | + | 10.6694i | −0.537358 | + | 0.620144i | ||||
\(297\) | −0.547803 | −0.0317868 | ||||||||
\(298\) | −6.23628 | −0.361258 | ||||||||
\(299\) | 0.909862 | − | 1.05004i | 0.0526187 | − | 0.0607252i | ||||
\(300\) | 0.611438 | − | 4.25265i | 0.0353014 | − | 0.245527i | ||||
\(301\) | 32.5521 | + | 9.55816i | 1.87627 | + | 0.550923i | ||||
\(302\) | 25.8447 | + | 7.58868i | 1.48719 | + | 0.436680i | ||||
\(303\) | −2.27898 | + | 15.8506i | −0.130924 | + | 0.910595i | ||||
\(304\) | 17.3671 | − | 20.0427i | 0.996073 | − | 1.14953i | ||||
\(305\) | 7.00105 | 0.400879 | ||||||||
\(306\) | 2.10597 | 0.120390 | ||||||||
\(307\) | −10.0758 | + | 11.6281i | −0.575058 | + | 0.663653i | −0.966535 | − | 0.256535i | \(-0.917419\pi\) |
0.391477 | + | 0.920188i | \(0.371964\pi\) | |||||||
\(308\) | −0.0740927 | − | 0.162240i | −0.00422183 | − | 0.00924451i | ||||
\(309\) | −16.4882 | − | 10.5964i | −0.937984 | − | 0.602806i | ||||
\(310\) | 13.1247 | + | 15.1467i | 0.745433 | + | 0.860275i | ||||
\(311\) | −22.1252 | − | 14.2190i | −1.25460 | − | 0.806284i | −0.267066 | − | 0.963678i | \(-0.586054\pi\) |
−0.987536 | + | 0.157394i | \(0.949691\pi\) | |||||||
\(312\) | −1.10790 | − | 7.70564i | −0.0627227 | − | 0.436246i | ||||
\(313\) | −1.76597 | + | 12.2826i | −0.0998183 | + | 0.694252i | 0.877048 | + | 0.480402i | \(0.159509\pi\) |
−0.976867 | + | 0.213850i | \(0.931400\pi\) | |||||||
\(314\) | 5.64825 | + | 12.3679i | 0.318749 | + | 0.697964i | ||||
\(315\) | −8.40457 | − | 58.4550i | −0.473544 | − | 3.29357i | ||||
\(316\) | −0.655500 | − | 0.192472i | −0.0368747 | − | 0.0108274i | ||||
\(317\) | 7.03882 | − | 4.52358i | 0.395340 | − | 0.254069i | −0.327834 | − | 0.944735i | \(-0.606319\pi\) |
0.723174 | + | 0.690666i | \(0.242682\pi\) | |||||||
\(318\) | 25.6922 | + | 16.5114i | 1.44075 | + | 0.925913i | ||||
\(319\) | −0.0941028 | + | 0.206056i | −0.00526875 | + | 0.0115369i | ||||
\(320\) | 27.4227 | + | 8.05203i | 1.53297 | + | 0.450122i | ||||
\(321\) | 39.6231 | − | 25.4642i | 2.21155 | − | 1.42128i | ||||
\(322\) | 5.18774 | + | 5.98697i | 0.289101 | + | 0.333641i | ||||
\(323\) | 1.91755 | + | 2.21297i | 0.106695 | + | 0.123133i | ||||
\(324\) | 0.371436 | − | 0.813331i | 0.0206353 | − | 0.0451850i | ||||
\(325\) | −0.760652 | + | 5.29045i | −0.0421934 | + | 0.293461i | ||||
\(326\) | −2.16473 | + | 0.635622i | −0.119893 | + | 0.0352038i | ||||
\(327\) | −6.80545 | + | 7.85390i | −0.376342 | + | 0.434322i | ||||
\(328\) | −13.1032 | + | 3.84746i | −0.723505 | + | 0.212440i | ||||
\(329\) | −2.91050 | − | 6.37311i | −0.160461 | − | 0.351361i | ||||
\(330\) | −0.719030 | + | 1.57446i | −0.0395813 | + | 0.0866709i | ||||
\(331\) | 13.7220 | − | 8.81860i | 0.754230 | − | 0.484714i | −0.106161 | − | 0.994349i | \(-0.533856\pi\) |
0.860391 | + | 0.509635i | \(0.170219\pi\) | |||||||
\(332\) | 0.0442635 | + | 0.307859i | 0.00242927 | + | 0.0168960i | ||||
\(333\) | −19.6813 | + | 5.77895i | −1.07853 | + | 0.316684i | ||||
\(334\) | −16.0741 | −0.879534 | ||||||||
\(335\) | −4.90261 | − | 26.1546i | −0.267858 | − | 1.42898i | ||||
\(336\) | 37.9394 | 2.06976 | ||||||||
\(337\) | 3.09315 | − | 0.908232i | 0.168495 | − | 0.0494745i | −0.196397 | − | 0.980524i | \(-0.562924\pi\) |
0.364892 | + | 0.931050i | \(0.381106\pi\) | |||||||
\(338\) | −2.25139 | − | 15.6588i | −0.122460 | − | 0.851726i | ||||
\(339\) | −19.6257 | + | 12.6127i | −1.06592 | + | 0.685026i | ||||
\(340\) | −0.142167 | + | 0.311303i | −0.00771010 | + | 0.0168828i | ||||
\(341\) | 0.293250 | + | 0.642127i | 0.0158804 | + | 0.0347732i | ||||
\(342\) | 43.2550 | − | 12.7008i | 2.33896 | − | 0.686781i | ||||
\(343\) | 9.46465 | − | 10.9228i | 0.511043 | − | 0.589775i | ||||
\(344\) | −23.3112 | + | 6.84479i | −1.25686 | + | 0.369046i | ||||
\(345\) | −1.81540 | + | 12.6264i | −0.0977380 | + | 0.679783i | ||||
\(346\) | 12.4419 | − | 27.2440i | 0.668882 | − | 1.46465i | ||||
\(347\) | −15.5953 | − | 17.9979i | −0.837200 | − | 0.966180i | 0.162590 | − | 0.986694i | \(-0.448015\pi\) |
−0.999790 | + | 0.0205137i | \(0.993470\pi\) | |||||||
\(348\) | 0.763163 | + | 0.880737i | 0.0409098 | + | 0.0472125i | ||||
\(349\) | 0.905143 | − | 0.581700i | 0.0484512 | − | 0.0311377i | −0.516191 | − | 0.856474i | \(-0.672651\pi\) |
0.564642 | + | 0.825336i | \(0.309014\pi\) | |||||||
\(350\) | −29.2402 | − | 8.58570i | −1.56296 | − | 0.458925i | ||||
\(351\) | 1.45642 | − | 3.18913i | 0.0777382 | − | 0.170223i | ||||
\(352\) | 0.201513 | + | 0.129505i | 0.0107407 | + | 0.00690262i | ||||
\(353\) | −7.44594 | + | 4.78521i | −0.396307 | + | 0.254691i | −0.723583 | − | 0.690238i | \(-0.757506\pi\) |
0.327275 | + | 0.944929i | \(0.393870\pi\) | |||||||
\(354\) | −34.8555 | − | 10.2345i | −1.85255 | − | 0.543958i | ||||
\(355\) | −2.71233 | − | 18.8647i | −0.143955 | − | 1.00123i | ||||
\(356\) | −1.15405 | − | 2.52702i | −0.0611646 | − | 0.133932i | ||||
\(357\) | −0.596154 | + | 4.14634i | −0.0315518 | + | 0.219448i | ||||
\(358\) | −4.40718 | − | 30.6526i | −0.232927 | − | 1.62004i | ||||
\(359\) | −6.47557 | − | 4.16160i | −0.341768 | − | 0.219641i | 0.358486 | − | 0.933535i | \(-0.383293\pi\) |
−0.700253 | + | 0.713894i | \(0.746930\pi\) | |||||||
\(360\) | 27.6949 | + | 31.9616i | 1.45965 | + | 1.68452i | ||||
\(361\) | 36.7472 | + | 23.6160i | 1.93406 | + | 1.24295i | ||||
\(362\) | 3.01435 | + | 6.60050i | 0.158431 | + | 0.346915i | ||||
\(363\) | 19.4861 | − | 22.4881i | 1.02275 | − | 1.18032i | ||||
\(364\) | 1.14150 | 0.0598307 | ||||||||
\(365\) | 22.3647 | 1.17062 | ||||||||
\(366\) | −5.00671 | + | 5.77806i | −0.261705 | + | 0.302024i | ||||
\(367\) | −0.886613 | + | 6.16653i | −0.0462808 | + | 0.321890i | 0.953509 | + | 0.301366i | \(0.0974426\pi\) |
−0.999789 | + | 0.0205241i | \(0.993467\pi\) | |||||||
\(368\) | −4.65256 | − | 1.36612i | −0.242532 | − | 0.0712137i | ||||
\(369\) | −19.0384 | − | 5.59017i | −0.991098 | − | 0.291013i | ||||
\(370\) | −2.85894 | + | 19.8844i | −0.148629 | + | 1.03374i | ||||
\(371\) | −23.5387 | + | 27.1651i | −1.22207 | + | 1.41034i | ||||
\(372\) | 3.63164 | 0.188292 | ||||||||
\(373\) | 16.8774 | 0.873876 | 0.436938 | − | 0.899492i | \(-0.356063\pi\) | ||||
0.436938 | + | 0.899492i | \(0.356063\pi\) | |||||||
\(374\) | 0.0475728 | − | 0.0549020i | 0.00245993 | − | 0.00283891i | ||||
\(375\) | −2.08169 | − | 4.55827i | −0.107498 | − | 0.235388i | ||||
\(376\) | 4.22083 | + | 2.71256i | 0.217673 | + | 0.139890i | ||||
\(377\) | −0.949403 | − | 1.09567i | −0.0488968 | − | 0.0564299i | ||||
\(378\) | 16.8165 | + | 10.8073i | 0.864948 | + | 0.555868i | ||||
\(379\) | 0.320260 | + | 2.22746i | 0.0164507 | + | 0.114417i | 0.996392 | − | 0.0848685i | \(-0.0270470\pi\) |
−0.979942 | + | 0.199285i | \(0.936138\pi\) | |||||||
\(380\) | −1.04258 | + | 7.25131i | −0.0534833 | + | 0.371984i | ||||
\(381\) | −16.5330 | − | 36.2022i | −0.847011 | − | 1.85470i | ||||
\(382\) | −3.82428 | − | 26.5985i | −0.195667 | − | 1.36090i | ||||
\(383\) | 18.5805 | + | 5.45572i | 0.949419 | + | 0.278774i | 0.719545 | − | 0.694446i | \(-0.244350\pi\) |
0.229874 | + | 0.973220i | \(0.426169\pi\) | |||||||
\(384\) | −18.9719 | + | 12.1925i | −0.968156 | + | 0.622196i | ||||
\(385\) | −1.71376 | − | 1.10137i | −0.0873413 | − | 0.0561309i | ||||
\(386\) | −7.95009 | + | 17.4083i | −0.404649 | + | 0.886058i | ||||
\(387\) | −33.8700 | − | 9.94514i | −1.72171 | − | 0.505540i | ||||
\(388\) | 0.825126 | − | 0.530276i | 0.0418894 | − | 0.0269207i | ||||
\(389\) | −5.19746 | − | 5.99819i | −0.263522 | − | 0.304120i | 0.608533 | − | 0.793528i | \(-0.291758\pi\) |
−0.872055 | + | 0.489408i | \(0.837213\pi\) | |||||||
\(390\) | −7.25429 | − | 8.37189i | −0.367335 | − | 0.423927i | ||||
\(391\) | 0.222408 | − | 0.487005i | 0.0112477 | − | 0.0246289i | ||||
\(392\) | −4.45383 | + | 30.9771i | −0.224952 | + | 1.56458i | ||||
\(393\) | −7.34394 | + | 2.15637i | −0.370453 | + | 0.108775i | ||||
\(394\) | −13.0879 | + | 15.1043i | −0.659360 | + | 0.760942i | ||||
\(395\) | −7.48690 | + | 2.19835i | −0.376707 | + | 0.110611i | ||||
\(396\) | 0.0770925 | + | 0.168809i | 0.00387404 | + | 0.00848297i | ||||
\(397\) | −8.51036 | + | 18.6351i | −0.427123 | + | 0.935269i | 0.566662 | + | 0.823950i | \(0.308235\pi\) |
−0.993785 | + | 0.111318i | \(0.964493\pi\) | |||||||
\(398\) | −0.651602 | + | 0.418759i | −0.0326619 | + | 0.0209905i | ||||
\(399\) | 12.7615 | + | 88.7580i | 0.638873 | + | 4.44346i | ||||
\(400\) | 17.8979 | − | 5.25529i | 0.894894 | − | 0.262765i | ||||
\(401\) | −2.90066 | −0.144852 | −0.0724260 | − | 0.997374i | \(-0.523074\pi\) | ||||
−0.0724260 | + | 0.997374i | \(0.523074\pi\) | |||||||
\(402\) | 25.0918 | + | 14.6580i | 1.25146 | + | 0.731073i | ||||
\(403\) | −4.51790 | −0.225053 | ||||||||
\(404\) | 1.61339 | − | 0.473735i | 0.0802693 | − | 0.0235692i | ||||
\(405\) | −1.45339 | − | 10.1085i | −0.0722194 | − | 0.502297i | ||||
\(406\) | 6.95395 | − | 4.46903i | 0.345119 | − | 0.221794i | ||||
\(407\) | −0.293935 | + | 0.643629i | −0.0145698 | + | 0.0319035i | ||||
\(408\) | −1.24617 | − | 2.72872i | −0.0616944 | − | 0.135092i | ||||
\(409\) | −34.8618 | + | 10.2363i | −1.72380 | + | 0.506155i | −0.985697 | − | 0.168528i | \(-0.946099\pi\) |
−0.738108 | + | 0.674683i | \(0.764281\pi\) | |||||||
\(410\) | −12.7256 | + | 14.6862i | −0.628475 | + | 0.725299i | ||||
\(411\) | 14.8986 | − | 4.37463i | 0.734895 | − | 0.215785i | ||||
\(412\) | −0.292891 | + | 2.03710i | −0.0144297 | + | 0.100361i | ||||
\(413\) | 17.7611 | − | 38.8915i | 0.873969 | − | 1.91372i | ||||
\(414\) | −5.39778 | − | 6.22937i | −0.265286 | − | 0.306157i | ||||
\(415\) | 2.32634 | + | 2.68474i | 0.114196 | + | 0.131789i | ||||
\(416\) | −1.28969 | + | 0.828832i | −0.0632321 | + | 0.0406368i | ||||
\(417\) | 56.8714 | + | 16.6989i | 2.78500 | + | 0.817751i | ||||
\(418\) | 0.646003 | − | 1.41455i | 0.0315971 | − | 0.0691879i | ||||
\(419\) | 1.13476 | + | 0.729268i | 0.0554368 | + | 0.0356271i | 0.568066 | − | 0.822983i | \(-0.307692\pi\) |
−0.512629 | + | 0.858610i | \(0.671328\pi\) | |||||||
\(420\) | −8.81654 | + | 5.66604i | −0.430203 | + | 0.276475i | ||||
\(421\) | −16.3978 | − | 4.81483i | −0.799180 | − | 0.234660i | −0.143452 | − | 0.989657i | \(-0.545820\pi\) |
−0.655728 | + | 0.754997i | \(0.727638\pi\) | |||||||
\(422\) | −4.52387 | − | 31.4642i | −0.220218 | − | 1.53165i | ||||
\(423\) | 3.02834 | + | 6.63114i | 0.147243 | + | 0.322417i | ||||
\(424\) | 3.66327 | − | 25.4786i | 0.177904 | − | 1.23735i | ||||
\(425\) | 0.293108 | + | 2.03861i | 0.0142178 | + | 0.0988872i | ||||
\(426\) | 17.5089 | + | 11.2523i | 0.848310 | + | 0.545176i | ||||
\(427\) | −5.89266 | − | 6.80049i | −0.285166 | − | 0.329099i | ||||
\(428\) | −4.16061 | − | 2.67386i | −0.201111 | − | 0.129246i | ||||
\(429\) | −0.162085 | − | 0.354917i | −0.00782554 | − | 0.0171355i | ||||
\(430\) | −22.6395 | + | 26.1273i | −1.09177 | + | 1.25997i | ||||
\(431\) | −17.6493 | −0.850139 | −0.425069 | − | 0.905161i | \(-0.639750\pi\) | ||||
−0.425069 | + | 0.905161i | \(0.639750\pi\) | |||||||
\(432\) | −12.2357 | −0.588692 | ||||||||
\(433\) | −19.8037 | + | 22.8547i | −0.951705 | + | 1.09833i | 0.0433556 | + | 0.999060i | \(0.486195\pi\) |
−0.995061 | + | 0.0992667i | \(0.968350\pi\) | |||||||
\(434\) | 3.66598 | − | 25.4974i | 0.175973 | − | 1.22392i | ||||
\(435\) | 12.7714 | + | 3.75003i | 0.612344 | + | 0.179800i | ||||
\(436\) | 1.04703 | + | 0.307435i | 0.0501435 | + | 0.0147235i | ||||
\(437\) | 1.63103 | − | 11.3440i | 0.0780226 | − | 0.542659i | ||||
\(438\) | −15.9938 | + | 18.4579i | −0.764215 | + | 0.881951i | ||||
\(439\) | −12.0530 | −0.575258 | −0.287629 | − | 0.957742i | \(-0.592867\pi\) | ||||
−0.287629 | + | 0.957742i | \(0.592867\pi\) | |||||||
\(440\) | 1.45884 | 0.0695476 | ||||||||
\(441\) | −29.7772 | + | 34.3647i | −1.41796 | + | 1.63641i | ||||
\(442\) | 0.193141 | + | 0.422919i | 0.00918676 | + | 0.0201162i | ||||
\(443\) | 15.2556 | + | 9.80417i | 0.724815 | + | 0.465810i | 0.850309 | − | 0.526284i | \(-0.176415\pi\) |
−0.125494 | + | 0.992094i | \(0.540052\pi\) | |||||||
\(444\) | 2.38378 | + | 2.75103i | 0.113129 | + | 0.130558i | ||||
\(445\) | −26.6931 | − | 17.1546i | −1.26538 | − | 0.813208i | ||||
\(446\) | 2.32531 | + | 16.1729i | 0.110107 | + | 0.765809i | ||||
\(447\) | −1.83683 | + | 12.7754i | −0.0868789 | + | 0.604256i | ||||
\(448\) | −15.2598 | − | 33.4144i | −0.720959 | − | 1.57868i | ||||
\(449\) | −1.09793 | − | 7.63630i | −0.0518147 | − | 0.360379i | −0.999190 | − | 0.0402528i | \(-0.987184\pi\) |
0.947375 | − | 0.320126i | \(-0.103725\pi\) | |||||||
\(450\) | 30.4241 | + | 8.93331i | 1.43420 | + | 0.421120i | ||||
\(451\) | −0.575802 | + | 0.370045i | −0.0271134 | + | 0.0174248i | ||||
\(452\) | 2.06079 | + | 1.32439i | 0.0969314 | + | 0.0622940i | ||||
\(453\) | 23.1582 | − | 50.7093i | 1.08807 | − | 2.38253i | ||||
\(454\) | −2.83482 | − | 0.832379i | −0.133045 | − | 0.0390655i | ||||
\(455\) | 10.9681 | − | 7.04877i | 0.514192 | − | 0.330451i | ||||
\(456\) | −42.0518 | − | 48.5304i | −1.96926 | − | 2.27264i | ||||
\(457\) | −11.0018 | − | 12.6968i | −0.514643 | − | 0.593929i | 0.437639 | − | 0.899151i | \(-0.355815\pi\) |
−0.952281 | + | 0.305222i | \(0.901269\pi\) | |||||||
\(458\) | 3.55665 | − | 7.78798i | 0.166191 | − | 0.363908i | ||||
\(459\) | 0.192264 | − | 1.33723i | 0.00897411 | − | 0.0624163i | ||||
\(460\) | 1.28521 | − | 0.377371i | 0.0599231 | − | 0.0175950i | ||||
\(461\) | 13.2423 | − | 15.2824i | 0.616756 | − | 0.711774i | −0.358332 | − | 0.933594i | \(-0.616654\pi\) |
0.975088 | + | 0.221820i | \(0.0711998\pi\) | |||||||
\(462\) | 2.13455 | − | 0.626759i | 0.0993081 | − | 0.0291595i | ||||
\(463\) | −3.76850 | − | 8.25186i | −0.175137 | − | 0.383496i | 0.801624 | − | 0.597829i | \(-0.203970\pi\) |
−0.976761 | + | 0.214332i | \(0.931242\pi\) | |||||||
\(464\) | −2.10188 | + | 4.60248i | −0.0975774 | + | 0.213665i | ||||
\(465\) | 34.8947 | − | 22.4255i | 1.61821 | − | 1.03996i | ||||
\(466\) | 1.64382 | + | 11.4330i | 0.0761485 | + | 0.529624i | ||||
\(467\) | 20.7777 | − | 6.10089i | 0.961479 | − | 0.282316i | 0.236920 | − | 0.971529i | \(-0.423862\pi\) |
0.724558 | + | 0.689214i | \(0.242044\pi\) | |||||||
\(468\) | −1.18771 | −0.0549020 | ||||||||
\(469\) | −21.2789 | + | 26.7761i | −0.982570 | + | 1.23640i | ||||
\(470\) | 7.13946 | 0.329319 | ||||||||
\(471\) | 27.0002 | − | 7.92796i | 1.24410 | − | 0.365301i | ||||
\(472\) | 4.35737 | + | 30.3062i | 0.200564 | + | 1.39495i | ||||
\(473\) | −1.02438 | + | 0.658326i | −0.0471008 | + | 0.0302699i | ||||
\(474\) | 3.53984 | − | 7.75116i | 0.162590 | − | 0.356023i | ||||
\(475\) | 18.3148 | + | 40.1038i | 0.840341 | + | 1.84009i | ||||
\(476\) | 0.422045 | − | 0.123923i | 0.0193444 | − | 0.00568002i | ||||
\(477\) | 24.4917 | − | 28.2649i | 1.12140 | − | 1.29416i | ||||
\(478\) | −33.4346 | + | 9.81730i | −1.52926 | + | 0.449033i | ||||
\(479\) | 3.05707 | − | 21.2624i | 0.139681 | − | 0.971503i | −0.792593 | − | 0.609751i | \(-0.791270\pi\) |
0.932274 | − | 0.361752i | \(-0.117821\pi\) | |||||||
\(480\) | 5.84704 | − | 12.8032i | 0.266880 | − | 0.584385i | ||||
\(481\) | −2.96551 | − | 3.42239i | −0.135216 | − | 0.156047i | ||||
\(482\) | 0.406551 | + | 0.469184i | 0.0185179 | + | 0.0213708i | ||||
\(483\) | 13.7927 | − | 8.86402i | 0.627589 | − | 0.403327i | ||||
\(484\) | −2.99796 | − | 0.880280i | −0.136271 | − | 0.0400127i | ||||
\(485\) | 4.65378 | − | 10.1903i | 0.211317 | − | 0.462720i | ||||
\(486\) | 21.4560 | + | 13.7889i | 0.973263 | + | 0.625478i | ||||
\(487\) | 30.2917 | − | 19.4673i | 1.37265 | − | 0.882147i | 0.373679 | − | 0.927558i | \(-0.378096\pi\) |
0.998968 | + | 0.0454110i | \(0.0144597\pi\) | |||||||
\(488\) | 6.18287 | + | 1.81545i | 0.279885 | + | 0.0821817i | ||||
\(489\) | 0.664515 | + | 4.62180i | 0.0300504 | + | 0.209005i | ||||
\(490\) | 18.4995 | + | 40.5082i | 0.835722 | + | 1.82998i | ||||
\(491\) | 1.14805 | − | 7.98487i | 0.0518108 | − | 0.360352i | −0.947379 | − | 0.320113i | \(-0.896279\pi\) |
0.999190 | − | 0.0402388i | \(-0.0128119\pi\) | |||||||
\(492\) | 0.501123 | + | 3.48539i | 0.0225924 | + | 0.157133i | ||||
\(493\) | −0.469970 | − | 0.302032i | −0.0211664 | − | 0.0136028i | ||||
\(494\) | 6.51753 | + | 7.52163i | 0.293237 | + | 0.338414i | ||||
\(495\) | 1.78315 | + | 1.14596i | 0.0801464 | + | 0.0515070i | ||||
\(496\) | 6.55003 | + | 14.3426i | 0.294105 | + | 0.644000i | ||||
\(497\) | −16.0413 | + | 18.5127i | −0.719552 | + | 0.830407i | ||||
\(498\) | −3.87941 | −0.173840 | ||||||||
\(499\) | 18.9071 | 0.846398 | 0.423199 | − | 0.906037i | \(-0.360907\pi\) | ||||
0.423199 | + | 0.906037i | \(0.360907\pi\) | |||||||
\(500\) | −0.344581 | + | 0.397668i | −0.0154101 | + | 0.0177842i | ||||
\(501\) | −4.73444 | + | 32.9288i | −0.211519 | + | 1.47115i | ||||
\(502\) | −33.1892 | − | 9.74523i | −1.48131 | − | 0.434951i | ||||
\(503\) | 26.9003 | + | 7.89864i | 1.19942 | + | 0.352183i | 0.819633 | − | 0.572889i | \(-0.194177\pi\) |
0.379792 | + | 0.925072i | \(0.375996\pi\) | |||||||
\(504\) | 7.73571 | − | 53.8030i | 0.344576 | − | 2.39658i | ||||
\(505\) | 12.5770 | − | 14.5146i | 0.559669 | − | 0.645892i | ||||
\(506\) | −0.284331 | −0.0126400 | ||||||||
\(507\) | −32.7412 | −1.45409 | ||||||||
\(508\) | −2.73670 | + | 3.15832i | −0.121421 | + | 0.140128i | ||||
\(509\) | 3.23092 | + | 7.07473i | 0.143208 | + | 0.313582i | 0.967621 | − | 0.252407i | \(-0.0812220\pi\) |
−0.824413 | + | 0.565988i | \(0.808495\pi\) | |||||||
\(510\) | −3.59099 | − | 2.30779i | −0.159012 | − | 0.102191i | ||||
\(511\) | −18.8240 | − | 21.7240i | −0.832723 | − | 0.961014i | ||||
\(512\) | 21.3650 | + | 13.7305i | 0.944209 | + | 0.606806i | ||||
\(513\) | −4.11567 | − | 28.6251i | −0.181711 | − | 1.26383i | ||||
\(514\) | −1.91575 | + | 13.3243i | −0.0845001 | + | 0.587711i | ||||
\(515\) | 9.76491 | + | 21.3822i | 0.430293 | + | 0.942211i | ||||
\(516\) | 0.891518 | + | 6.20064i | 0.0392469 | + | 0.272968i | ||||
\(517\) | 0.241280 | + | 0.0708463i | 0.0106115 | + | 0.00311582i | ||||
\(518\) | 21.7211 | − | 13.9593i | 0.954368 | − | 0.613335i | ||||
\(519\) | −52.1465 | − | 33.5125i | −2.28898 | − | 1.47104i | ||||
\(520\) | −3.87857 | + | 8.49289i | −0.170087 | + | 0.372438i | ||||
\(521\) | −19.7764 | − | 5.80687i | −0.866419 | − | 0.254404i | −0.181827 | − | 0.983330i | \(-0.558201\pi\) |
−0.684591 | + | 0.728927i | \(0.740019\pi\) | |||||||
\(522\) | −7.23549 | + | 4.64997i | −0.316689 | + | 0.203524i | ||||
\(523\) | 22.7837 | + | 26.2938i | 0.996262 | + | 1.14975i | 0.988720 | + | 0.149776i | \(0.0478553\pi\) |
0.00754216 | + | 0.999972i | \(0.497599\pi\) | |||||||
\(524\) | 0.526314 | + | 0.607398i | 0.0229921 | + | 0.0265343i | ||||
\(525\) | −26.2008 | + | 57.3716i | −1.14349 | + | 2.50390i | ||||
\(526\) | 1.88254 | − | 13.0934i | 0.0820829 | − | 0.570899i | ||||
\(527\) | −1.67040 | + | 0.490474i | −0.0727638 | + | 0.0213654i | ||||
\(528\) | −0.891731 | + | 1.02911i | −0.0388076 | + | 0.0447864i | ||||
\(529\) | 20.0577 | − | 5.88949i | 0.872076 | − | 0.256065i | ||||
\(530\) | −15.2158 | − | 33.3180i | −0.660933 | − | 1.44724i | ||||
\(531\) | −18.4802 | + | 40.4661i | −0.801974 | + | 1.75608i | ||||
\(532\) | 7.92111 | − | 5.09059i | 0.343424 | − | 0.220705i | ||||
\(533\) | −0.623415 | − | 4.33595i | −0.0270031 | − | 0.187811i | ||||
\(534\) | 33.2472 | − | 9.76226i | 1.43875 | − | 0.422454i | ||||
\(535\) | −56.4885 | −2.44221 | ||||||||
\(536\) | 2.45253 | − | 24.3693i | 0.105933 | − | 1.05260i | ||||
\(537\) | −64.0919 | −2.76577 | ||||||||
\(538\) | 26.8895 | − | 7.89547i | 1.15929 | − | 0.340398i | ||||
\(539\) | 0.223225 | + | 1.55256i | 0.00961498 | + | 0.0668737i | ||||
\(540\) | 2.84340 | − | 1.82734i | 0.122360 | − | 0.0786362i | ||||
\(541\) | 15.8597 | − | 34.7279i | 0.681862 | − | 1.49307i | −0.178796 | − | 0.983886i | \(-0.557220\pi\) |
0.860658 | − | 0.509183i | \(-0.170052\pi\) | |||||||
\(542\) | −3.12138 | − | 6.83488i | −0.134075 | − | 0.293583i | ||||
\(543\) | 14.4094 | − | 4.23098i | 0.618366 | − | 0.181569i | ||||
\(544\) | −0.386855 | + | 0.446455i | −0.0165863 | + | 0.0191416i | ||||
\(545\) | 11.9588 | − | 3.51142i | 0.512259 | − | 0.150413i | ||||
\(546\) | −2.02626 | + | 14.0930i | −0.0867160 | + | 0.603123i | ||||
\(547\) | −12.5108 | + | 27.3949i | −0.534925 | + | 1.17132i | 0.428549 | + | 0.903519i | \(0.359025\pi\) |
−0.963474 | + | 0.267803i | \(0.913702\pi\) | |||||||
\(548\) | −1.06773 | − | 1.23223i | −0.0456112 | − | 0.0526382i | ||||
\(549\) | 6.13124 | + | 7.07582i | 0.261675 | + | 0.301989i | ||||
\(550\) | 0.920154 | − | 0.591347i | 0.0392355 | − | 0.0252151i | ||||
\(551\) | −11.4743 | − | 3.36917i | −0.488824 | − | 0.143532i | ||||
\(552\) | −4.87741 | + | 10.6800i | −0.207597 | + | 0.454573i | ||||
\(553\) | 8.43697 | + | 5.42211i | 0.358777 | + | 0.230572i | ||||
\(554\) | −3.92993 | + | 2.52561i | −0.166967 | + | 0.107303i | ||||
\(555\) | 39.8923 | + | 11.7134i | 1.69333 | + | 0.497208i | ||||
\(556\) | −0.885749 | − | 6.16052i | −0.0375641 | − | 0.261264i | ||||
\(557\) | −7.60418 | − | 16.6508i | −0.322199 | − | 0.705518i | 0.677346 | − | 0.735665i | \(-0.263130\pi\) |
−0.999545 | + | 0.0301462i | \(0.990403\pi\) | |||||||
\(558\) | −3.81440 | + | 26.5298i | −0.161477 | + | 1.12309i | ||||
\(559\) | −1.10908 | − | 7.71383i | −0.0469092 | − | 0.326260i | ||||
\(560\) | −38.2786 | − | 24.6001i | −1.61756 | − | 1.03955i | ||||
\(561\) | −0.0984581 | − | 0.113627i | −0.00415691 | − | 0.00479733i | ||||
\(562\) | 26.7604 | + | 17.1979i | 1.12882 | + | 0.725449i | ||||
\(563\) | −15.0080 | − | 32.8630i | −0.632512 | − | 1.38501i | −0.906060 | − | 0.423150i | \(-0.860924\pi\) |
0.273547 | − | 0.961859i | \(-0.411803\pi\) | |||||||
\(564\) | 0.847183 | − | 0.977701i | 0.0356728 | − | 0.0411686i | ||||
\(565\) | 27.9793 | 1.17710 | ||||||||
\(566\) | −7.24957 | −0.304722 | ||||||||
\(567\) | −8.59567 | + | 9.91993i | −0.360984 | + | 0.416598i | ||||
\(568\) | 2.49647 | − | 17.3634i | 0.104750 | − | 0.728550i | ||||
\(569\) | 16.4694 | + | 4.83585i | 0.690433 | + | 0.202730i | 0.608082 | − | 0.793874i | \(-0.291939\pi\) |
0.0823509 | + | 0.996603i | \(0.473757\pi\) | |||||||
\(570\) | −87.6742 | − | 25.7435i | −3.67227 | − | 1.07828i | ||||
\(571\) | −1.12976 | + | 7.85769i | −0.0472792 | + | 0.328834i | 0.952431 | + | 0.304755i | \(0.0985745\pi\) |
−0.999710 | + | 0.0240792i | \(0.992335\pi\) | |||||||
\(572\) | −0.0268299 | + | 0.0309633i | −0.00112181 | + | 0.00129464i | ||||
\(573\) | −55.6151 | −2.32335 | ||||||||
\(574\) | 24.9764 | 1.04250 | ||||||||
\(575\) | 5.27887 | − | 6.09214i | 0.220144 | − | 0.254060i | ||||
\(576\) | 15.8777 | + | 34.7672i | 0.661569 | + | 1.44863i | ||||
\(577\) | 9.74594 | + | 6.26333i | 0.405729 | + | 0.260746i | 0.727550 | − | 0.686054i | \(-0.240659\pi\) |
−0.321822 | + | 0.946800i | \(0.604295\pi\) | |||||||
\(578\) | −14.4633 | − | 16.6916i | −0.601595 | − | 0.694278i | ||||
\(579\) | 33.3203 | + | 21.4137i | 1.38475 | + | 0.889922i | ||||
\(580\) | −0.198910 | − | 1.38345i | −0.00825929 | − | 0.0574446i | ||||
\(581\) | 0.649792 | − | 4.51940i | 0.0269579 | − | 0.187496i | ||||
\(582\) | 5.08213 | + | 11.1283i | 0.210661 | + | 0.461284i | ||||
\(583\) | −0.183602 | − | 1.27698i | −0.00760403 | − | 0.0528872i | ||||
\(584\) | 19.7510 | + | 5.79942i | 0.817303 | + | 0.239982i | ||||
\(585\) | −11.4122 | + | 7.33415i | −0.471835 | + | 0.303230i | ||||
\(586\) | 21.1031 | + | 13.5622i | 0.871762 | + | 0.560247i | ||||
\(587\) | 2.72713 | − | 5.97159i | 0.112561 | − | 0.246474i | −0.844965 | − | 0.534822i | \(-0.820379\pi\) |
0.957526 | + | 0.288348i | \(0.0931060\pi\) | |||||||
\(588\) | 7.74252 | + | 2.27341i | 0.319296 | + | 0.0937538i | ||||
\(589\) | −31.3508 | + | 20.1479i | −1.29179 | + | 0.830180i | ||||
\(590\) | 28.5310 | + | 32.9266i | 1.17460 | + | 1.35556i | ||||
\(591\) | 27.0872 | + | 31.2603i | 1.11422 | + | 1.28588i | ||||
\(592\) | −6.56534 | + | 14.3761i | −0.269834 | + | 0.590854i | ||||
\(593\) | −0.145444 | + | 1.01158i | −0.00597265 | + | 0.0415407i | −0.992590 | − | 0.121513i | \(-0.961225\pi\) |
0.986617 | + | 0.163054i | \(0.0521344\pi\) | |||||||
\(594\) | −0.688407 | + | 0.202135i | −0.0282457 | + | 0.00829368i | ||||
\(595\) | 3.28999 | − | 3.79686i | 0.134877 | − | 0.155656i | ||||
\(596\) | 1.30037 | − | 0.381824i | 0.0532654 | − | 0.0156401i | ||||
\(597\) | 0.665933 | + | 1.45819i | 0.0272548 | + | 0.0596798i | ||||
\(598\) | 0.755940 | − | 1.65528i | 0.0309127 | − | 0.0676894i | ||||
\(599\) | 4.26028 | − | 2.73792i | 0.174070 | − | 0.111868i | −0.450704 | − | 0.892673i | \(-0.648827\pi\) |
0.624775 | + | 0.780805i | \(0.285191\pi\) | |||||||
\(600\) | −6.42787 | − | 44.7068i | −0.262417 | − | 1.82515i | ||||
\(601\) | −25.5526 | + | 7.50293i | −1.04231 | + | 0.306051i | −0.757708 | − | 0.652594i | \(-0.773681\pi\) |
−0.284605 | + | 0.958645i | \(0.591863\pi\) | |||||||
\(602\) | 44.4341 | 1.81100 | ||||||||
\(603\) | 22.1405 | − | 27.8601i | 0.901629 | − | 1.13455i | ||||
\(604\) | −5.85370 | −0.238184 | ||||||||
\(605\) | −34.2417 | + | 10.0543i | −1.39212 | + | 0.408764i | ||||
\(606\) | 2.98482 | + | 20.7599i | 0.121250 | + | 0.843314i | ||||
\(607\) | 36.8178 | − | 23.6614i | 1.49439 | − | 0.960386i | 0.498785 | − | 0.866726i | \(-0.333780\pi\) |
0.995604 | − | 0.0936600i | \(-0.0298567\pi\) | |||||||
\(608\) | −5.25320 | + | 11.5029i | −0.213046 | + | 0.466505i | ||||
\(609\) | −7.10689 | − | 15.5619i | −0.287986 | − | 0.630601i | ||||
\(610\) | 8.79800 | − | 2.58333i | 0.356221 | − | 0.104596i | ||||
\(611\) | −1.05393 | + | 1.21630i | −0.0426373 | + | 0.0492061i | ||||
\(612\) | −0.439132 | + | 0.128941i | −0.0177509 | + | 0.00521212i | ||||
\(613\) | −0.107256 | + | 0.745982i | −0.00433203 | + | 0.0301299i | −0.991873 | − | 0.127233i | \(-0.959390\pi\) |
0.987541 | + | 0.157363i | \(0.0502994\pi\) | |||||||
\(614\) | −8.37131 | + | 18.3306i | −0.337838 | + | 0.739763i | ||||
\(615\) | 26.3374 | + | 30.3950i | 1.06203 | + | 1.22564i | ||||
\(616\) | −1.22788 | − | 1.41705i | −0.0494728 | − | 0.0570947i | ||||
\(617\) | −8.00617 | + | 5.14525i | −0.322316 | + | 0.207140i | −0.691786 | − | 0.722103i | \(-0.743176\pi\) |
0.369470 | + | 0.929243i | \(0.379539\pi\) | |||||||
\(618\) | −24.6302 | − | 7.23209i | −0.990773 | − | 0.290917i | ||||
\(619\) | −5.62194 | + | 12.3103i | −0.225965 | + | 0.494794i | −0.988325 | − | 0.152359i | \(-0.951313\pi\) |
0.762360 | + | 0.647153i | \(0.224040\pi\) | |||||||
\(620\) | −3.66411 | − | 2.35478i | −0.147154 | − | 0.0945703i | ||||
\(621\) | −4.44824 | + | 2.85871i | −0.178502 | + | 0.114716i | ||||
\(622\) | −33.0507 | − | 9.70455i | −1.32521 | − | 0.389117i | ||||
\(623\) | 5.80393 | + | 40.3672i | 0.232530 | + | 1.61728i | ||||
\(624\) | −3.62033 | − | 7.92742i | −0.144929 | − | 0.317351i | ||||
\(625\) | 3.10721 | − | 21.6111i | 0.124288 | − | 0.864444i | ||||
\(626\) | 2.31292 | + | 16.0867i | 0.0924431 | + | 0.642956i | ||||
\(627\) | −2.70752 | − | 1.74002i | −0.108128 | − | 0.0694897i | ||||
\(628\) | −1.93501 | − | 2.23312i | −0.0772151 | − | 0.0891110i | ||||
\(629\) | −1.46798 | − | 0.943413i | −0.0585321 | − | 0.0376163i | ||||
\(630\) | −32.1311 | − | 70.3574i | −1.28014 | − | 2.80311i | ||||
\(631\) | 11.3588 | − | 13.1087i | 0.452185 | − | 0.521849i | −0.483186 | − | 0.875518i | \(-0.660520\pi\) |
0.935371 | + | 0.353668i | \(0.115066\pi\) | |||||||
\(632\) | −7.18200 | −0.285684 | ||||||||
\(633\) | −65.7889 | −2.61487 | ||||||||
\(634\) | 7.17631 | − | 8.28190i | 0.285008 | − | 0.328916i | ||||
\(635\) | −6.79294 | + | 47.2460i | −0.269570 | + | 1.87490i | ||||
\(636\) | −6.36822 | − | 1.86988i | −0.252516 | − | 0.0741454i | ||||
\(637\) | −9.63199 | − | 2.82821i | −0.381633 | − | 0.112058i | ||||
\(638\) | −0.0422231 | + | 0.293668i | −0.00167163 | + | 0.0116264i | ||||
\(639\) | 16.6908 | − | 19.2622i | 0.660277 | − | 0.762001i | ||||
\(640\) | 27.0472 | 1.06913 | ||||||||
\(641\) | −24.4921 | −0.967379 | −0.483689 | − | 0.875240i | \(-0.660704\pi\) | ||||
−0.483689 | + | 0.875240i | \(0.660704\pi\) | |||||||
\(642\) | 40.3971 | − | 46.6207i | 1.59435 | − | 1.83997i | ||||
\(643\) | 10.4440 | + | 22.8692i | 0.411872 | + | 0.901873i | 0.995927 | + | 0.0901598i | \(0.0287378\pi\) |
−0.584055 | + | 0.811714i | \(0.698535\pi\) | |||||||
\(644\) | −1.44830 | − | 0.930764i | −0.0570709 | − | 0.0366772i | ||||
\(645\) | 46.8553 | + | 54.0739i | 1.84493 | + | 2.12916i | ||||
\(646\) | 3.22628 | + | 2.07341i | 0.126936 | + | 0.0815771i | ||||
\(647\) | 1.01574 | + | 7.06463i | 0.0399329 | + | 0.277739i | 0.999998 | − | 0.00203756i | \(-0.000648577\pi\) |
−0.960065 | + | 0.279777i | \(0.909739\pi\) | |||||||
\(648\) | 1.33772 | − | 9.30407i | 0.0525507 | − | 0.365498i | ||||
\(649\) | 0.637479 | + | 1.39588i | 0.0250232 | + | 0.0547932i | ||||
\(650\) | 0.996243 | + | 6.92902i | 0.0390758 | + | 0.271778i | ||||
\(651\) | −51.1534 | − | 15.0200i | −2.00486 | − | 0.588680i | ||||
\(652\) | 0.412468 | − | 0.265077i | 0.0161535 | − | 0.0103812i | ||||
\(653\) | 17.3894 | + | 11.1755i | 0.680500 | + | 0.437331i | 0.834697 | − | 0.550710i | \(-0.185643\pi\) |
−0.154197 | + | 0.988040i | \(0.549279\pi\) | |||||||
\(654\) | −5.65417 | + | 12.3809i | −0.221095 | + | 0.484132i | ||||
\(655\) | 8.80780 | + | 2.58620i | 0.344149 | + | 0.101051i | ||||
\(656\) | −12.8611 | + | 8.26533i | −0.502142 | + | 0.322707i | ||||
\(657\) | 19.5861 | + | 22.6036i | 0.764126 | + | 0.881848i | ||||
\(658\) | −6.00916 | − | 6.93494i | −0.234261 | − | 0.270352i | ||||
\(659\) | −0.794947 | + | 1.74069i | −0.0309667 | + | 0.0678077i | −0.924483 | − | 0.381223i | \(-0.875503\pi\) |
0.893517 | + | 0.449030i | \(0.148230\pi\) | |||||||
\(660\) | 0.0535323 | − | 0.372325i | 0.00208374 | − | 0.0144927i | ||||
\(661\) | 45.1174 | − | 13.2477i | 1.75486 | − | 0.515275i | 0.763431 | − | 0.645889i | \(-0.223513\pi\) |
0.991433 | + | 0.130614i | \(0.0416949\pi\) | |||||||
\(662\) | 13.9900 | − | 16.1454i | 0.543738 | − | 0.627507i | ||||
\(663\) | 0.923264 | − | 0.271095i | 0.0358566 | − | 0.0105284i | ||||
\(664\) | 1.35829 | + | 2.97424i | 0.0527118 | + | 0.115423i | ||||
\(665\) | 44.6757 | − | 97.8261i | 1.73245 | − | 3.79353i | ||||
\(666\) | −22.6005 | + | 14.5244i | −0.875750 | + | 0.562811i | ||||
\(667\) | 0.311177 | + | 2.16429i | 0.0120488 | + | 0.0838015i | ||||
\(668\) | 3.35173 | − | 0.984157i | 0.129682 | − | 0.0380782i | ||||
\(669\) | 33.8161 | 1.30741 | ||||||||
\(670\) | −15.8118 | − | 31.0587i | −0.610863 | − | 1.19990i | ||||
\(671\) | 0.322966 | 0.0124680 | ||||||||
\(672\) | −17.3578 | + | 5.09672i | −0.669592 | + | 0.196610i | ||||
\(673\) | 1.41109 | + | 9.81436i | 0.0543936 | + | 0.378316i | 0.998776 | + | 0.0494659i | \(0.0157519\pi\) |
−0.944382 | + | 0.328850i | \(0.893339\pi\) | |||||||
\(674\) | 3.55194 | − | 2.28269i | 0.136816 | − | 0.0879260i | ||||
\(675\) | 8.44994 | − | 18.5028i | 0.325238 | − | 0.712172i | ||||
\(676\) | 1.42819 | + | 3.12729i | 0.0549302 | + | 0.120280i | ||||
\(677\) | −25.9152 | + | 7.60940i | −0.996003 | + | 0.292453i | −0.738815 | − | 0.673909i | \(-0.764614\pi\) |
−0.257188 | + | 0.966361i | \(0.582796\pi\) | |||||||
\(678\) | −20.0090 | + | 23.0917i | −0.768443 | + | 0.886830i | ||||
\(679\) | −13.8154 | + | 4.05658i | −0.530188 | + | 0.155677i | ||||
\(680\) | −0.512014 | + | 3.56114i | −0.0196348 | + | 0.136563i | ||||
\(681\) | −2.54015 | + | 5.56214i | −0.0973386 | + | 0.213142i | ||||
\(682\) | 0.605457 | + | 0.698735i | 0.0231842 | + | 0.0267559i | ||||
\(683\) | 1.95234 | + | 2.25312i | 0.0747041 | + | 0.0862131i | 0.791871 | − | 0.610688i | \(-0.209107\pi\) |
−0.717167 | + | 0.696901i | \(0.754562\pi\) | |||||||
\(684\) | −8.24181 | + | 5.29669i | −0.315133 | + | 0.202524i | ||||
\(685\) | −17.8684 | − | 5.24662i | −0.682715 | − | 0.200463i | ||||
\(686\) | 7.86352 | − | 17.2187i | 0.300230 | − | 0.657413i | ||||
\(687\) | −14.9066 | − | 9.57989i | −0.568723 | − | 0.365496i | ||||
\(688\) | −22.8804 | + | 14.7044i | −0.872309 | + | 0.560599i | ||||
\(689\) | 7.92230 | + | 2.32620i | 0.301816 | + | 0.0886210i | ||||
\(690\) | 2.37767 | + | 16.5371i | 0.0905164 | + | 0.629555i | ||||
\(691\) | 9.72563 | + | 21.2962i | 0.369980 | + | 0.810144i | 0.999451 | + | 0.0331202i | \(0.0105444\pi\) |
−0.629471 | + | 0.777024i | \(0.716728\pi\) | |||||||
\(692\) | −0.926311 | + | 6.44264i | −0.0352131 | + | 0.244912i | ||||
\(693\) | −0.387712 | − | 2.69660i | −0.0147280 | − | 0.102435i | ||||
\(694\) | −26.2392 | − | 16.8629i | −0.996027 | − | 0.640108i | ||||
\(695\) | −46.5521 | − | 53.7240i | −1.76582 | − | 2.03787i | ||||
\(696\) | 10.3065 | + | 6.62356i | 0.390666 | + | 0.251066i | ||||
\(697\) | −0.701215 | − | 1.53545i | −0.0265604 | − | 0.0581592i | ||||
\(698\) | 0.922823 | − | 1.06499i | 0.0349294 | − | 0.0403106i | ||||
\(699\) | 23.9054 | 0.904186 | ||||||||
\(700\) | 6.62278 | 0.250317 | ||||||||
\(701\) | −14.3262 | + | 16.5334i | −0.541095 | + | 0.624457i | −0.958785 | − | 0.284133i | \(-0.908294\pi\) |
0.417690 | + | 0.908590i | \(0.362840\pi\) | |||||||
\(702\) | 0.653484 | − | 4.54508i | 0.0246642 | − | 0.171543i | ||||
\(703\) | −35.8408 | − | 10.5238i | −1.35176 | − | 0.396912i | ||||
\(704\) | 1.26504 | + | 0.371449i | 0.0476780 | + | 0.0139995i | ||||
\(705\) | 2.10285 | − | 14.6256i | 0.0791979 | − | 0.550833i | ||||
\(706\) | −7.59138 | + | 8.76091i | −0.285705 | + | 0.329721i | ||||
\(707\) | −24.6847 | −0.928362 | ||||||||
\(708\) | 7.89462 | 0.296698 | ||||||||
\(709\) | 29.2614 | − | 33.7694i | 1.09893 | − | 1.26824i | 0.138310 | − | 0.990389i | \(-0.455833\pi\) |
0.960625 | − | 0.277849i | \(-0.0896215\pi\) | |||||||
\(710\) | −10.3694 | − | 22.7058i | −0.389156 | − | 0.852133i | ||||
\(711\) | −8.77856 | − | 5.64164i | −0.329222 | − | 0.211578i | ||||
\(712\) | −19.1252 | − | 22.0717i | −0.716748 | − | 0.827171i | ||||
\(713\) | 5.73218 | + | 3.68385i | 0.214672 | + | 0.137961i | ||||
\(714\) | 0.780795 | + | 5.43055i | 0.0292205 | + | 0.203233i | ||||
\(715\) | −0.0665962 | + | 0.463187i | −0.00249056 | + | 0.0173222i | ||||
\(716\) | 2.79572 | + | 6.12177i | 0.104481 | + | 0.228781i | ||||
\(717\) | 10.2636 | + | 71.3846i | 0.383299 | + | 2.66591i | ||||
\(718\) | −9.67324 | − | 2.84032i | −0.361002 | − | 0.106000i | ||||
\(719\) | 9.93837 | − | 6.38700i | 0.370639 | − | 0.238195i | −0.342040 | − | 0.939685i | \(-0.611118\pi\) |
0.712679 | + | 0.701490i | \(0.247482\pi\) | |||||||
\(720\) | 39.8283 | + | 25.5961i | 1.48431 | + | 0.953911i | ||||
\(721\) | 12.5507 | − | 27.4822i | 0.467412 | − | 1.02349i | ||||
\(722\) | 54.8931 | + | 16.1181i | 2.04291 | + | 0.599853i | ||||
\(723\) | 1.08090 | − | 0.694652i | 0.0401991 | − | 0.0258344i | ||||
\(724\) | −1.03267 | − | 1.19176i | −0.0383789 | − | 0.0442916i | ||||
\(725\) | −5.50828 | − | 6.35690i | −0.204572 | − | 0.236089i | ||||
\(726\) | 16.1896 | − | 35.4503i | 0.600853 | − | 1.31568i | ||||
\(727\) | −0.347481 | + | 2.41678i | −0.0128874 | + | 0.0896336i | −0.995250 | − | 0.0973521i | \(-0.968963\pi\) |
0.982363 | + | 0.186986i | \(0.0598718\pi\) | |||||||
\(728\) | 11.5141 | − | 3.38085i | 0.426742 | − | 0.125303i | ||||
\(729\) | 28.3956 | − | 32.7703i | 1.05169 | − | 1.21371i | ||||
\(730\) | 28.1050 | − | 8.25237i | 1.04021 | − | 0.305434i | ||||
\(731\) | −1.24749 | − | 2.73162i | −0.0461401 | − | 0.101033i | ||||
\(732\) | 0.690220 | − | 1.51137i | 0.0255112 | − | 0.0558618i | ||||
\(733\) | 10.9932 | − | 7.06489i | 0.406043 | − | 0.260948i | −0.321640 | − | 0.946862i | \(-0.604234\pi\) |
0.727682 | + | 0.685914i | \(0.240598\pi\) | |||||||
\(734\) | 1.16122 | + | 8.07643i | 0.0428612 | + | 0.298107i | ||||
\(735\) | 88.4326 | − | 25.9661i | 3.26188 | − | 0.957776i | ||||
\(736\) | 2.31214 | 0.0852265 | ||||||||
\(737\) | −0.226163 | − | 1.20654i | −0.00833083 | − | 0.0444436i | ||||
\(738\) | −25.9876 | −0.956618 | ||||||||
\(739\) | −17.2305 | + | 5.05934i | −0.633835 | + | 0.186111i | −0.582838 | − | 0.812588i | \(-0.698058\pi\) |
−0.0509966 | + | 0.998699i | \(0.516240\pi\) | |||||||
\(740\) | −0.621307 | − | 4.32128i | −0.0228397 | − | 0.158854i | ||||
\(741\) | 17.3282 | − | 11.1362i | 0.636567 | − | 0.409097i | ||||
\(742\) | −19.5567 | + | 42.8231i | −0.717947 | + | 1.57209i | ||||
\(743\) | 10.3360 | + | 22.6328i | 0.379193 | + | 0.830317i | 0.998963 | + | 0.0455330i | \(0.0144986\pi\) |
−0.619770 | + | 0.784784i | \(0.712774\pi\) | |||||||
\(744\) | 36.6319 | − | 10.7561i | 1.34299 | − | 0.394338i | ||||
\(745\) | 10.1369 | − | 11.6986i | 0.371387 | − | 0.428604i | ||||
\(746\) | 21.2092 | − | 6.22759i | 0.776525 | − | 0.228008i | ||||
\(747\) | −0.676100 | + | 4.70238i | −0.0247372 | + | 0.172051i | ||||
\(748\) | −0.00655833 | + | 0.0143607i | −0.000239796 | + | 0.000525081i | ||||
\(749\) | 47.5454 | + | 54.8703i | 1.73727 | + | 2.00492i | ||||
\(750\) | −4.29795 | − | 4.96010i | −0.156939 | − | 0.181117i | ||||
\(751\) | 13.6348 | − | 8.76256i | 0.497541 | − | 0.319751i | −0.267691 | − | 0.963505i | \(-0.586261\pi\) |
0.765232 | + | 0.643754i | \(0.222624\pi\) | |||||||
\(752\) | 5.38924 | + | 1.58242i | 0.196525 | + | 0.0577051i | ||||
\(753\) | −29.7392 | + | 65.1199i | −1.08376 | + | 2.37310i | ||||
\(754\) | −1.59738 | − | 1.02657i | −0.0581731 | − | 0.0373856i | ||||
\(755\) | −56.2454 | + | 36.1468i | −2.04698 | + | 1.31552i | ||||
\(756\) | −4.16823 | − | 1.22390i | −0.151597 | − | 0.0445129i | ||||
\(757\) | 3.61924 | + | 25.1724i | 0.131544 | + | 0.914906i | 0.943544 | + | 0.331249i | \(0.107470\pi\) |
−0.812000 | + | 0.583658i | \(0.801621\pi\) | |||||||
\(758\) | 1.22437 | + | 2.68100i | 0.0444712 | + | 0.0973784i | ||||
\(759\) | −0.0837465 | + | 0.582470i | −0.00303981 | + | 0.0211423i | ||||
\(760\) | 10.9604 | + | 76.2309i | 0.397574 | + | 2.76519i | ||||
\(761\) | −29.4607 | − | 18.9332i | −1.06795 | − | 0.686329i | −0.116206 | − | 0.993225i | \(-0.537073\pi\) |
−0.951743 | + | 0.306896i | \(0.900710\pi\) | |||||||
\(762\) | −34.1348 | − | 39.3937i | −1.23657 | − | 1.42708i | ||||
\(763\) | −13.4763 | − | 8.66072i | −0.487876 | − | 0.313539i | ||||
\(764\) | 2.42596 | + | 5.31210i | 0.0877680 | + | 0.192185i | ||||
\(765\) | −3.42320 | + | 3.95058i | −0.123766 | + | 0.142833i | ||||
\(766\) | 25.3626 | 0.916389 | ||||||||
\(767\) | −9.82120 | −0.354623 | ||||||||
\(768\) | 11.8686 | − | 13.6971i | 0.428271 | − | 0.494251i | ||||
\(769\) | 1.41852 | − | 9.86605i | 0.0511533 | − | 0.355779i | −0.948129 | − | 0.317887i | \(-0.897027\pi\) |
0.999282 | − | 0.0378917i | \(-0.0120642\pi\) | |||||||
\(770\) | −2.56002 | − | 0.751691i | −0.0922568 | − | 0.0270891i | ||||
\(771\) | 26.7315 | + | 7.84907i | 0.962711 | + | 0.282677i | ||||
\(772\) | 0.591890 | − | 4.11669i | 0.0213026 | − | 0.148163i | ||||
\(773\) | 31.9798 | − | 36.9067i | 1.15023 | − | 1.32744i | 0.213684 | − | 0.976903i | \(-0.431454\pi\) |
0.936549 | − | 0.350537i | \(-0.114001\pi\) | |||||||
\(774\) | −46.2331 | −1.66181 | ||||||||
\(775\) | −26.2121 | −0.941567 | ||||||||
\(776\) | 6.75238 | − | 7.79267i | 0.242396 | − | 0.279740i | ||||
\(777\) | −22.1988 | − | 48.6085i | −0.796376 | − | 1.74382i | ||||
\(778\) | −8.74476 | − | 5.61991i | −0.313515 | − | 0.201484i | ||||
\(779\) | −23.6625 | − | 27.3080i | −0.847797 | − | 0.978410i | ||||
\(780\) | 2.02523 | + | 1.30154i | 0.0725148 | + | 0.0466024i | ||||
\(781\) | −0.125123 | − | 0.870248i | −0.00447724 | − | 0.0311399i | ||||
\(782\) | 0.0997924 | − | 0.694071i | 0.00356857 | − | 0.0248199i | ||||
\(783\) | 2.29203 | + | 5.01883i | 0.0819103 | + | 0.179359i | ||||
\(784\) | 4.98595 | + | 34.6781i | 0.178070 | + | 1.23850i | ||||
\(785\) | −32.3821 | − | 9.50824i | −1.15577 | − | 0.339364i | ||||
\(786\) | −8.43321 | + | 5.41970i | −0.300803 | + | 0.193314i | ||||
\(787\) | −37.6038 | − | 24.1665i | −1.34043 | − | 0.861442i | −0.343455 | − | 0.939169i | \(-0.611597\pi\) |
−0.996975 | + | 0.0777271i | \(0.975234\pi\) | |||||||
\(788\) | 1.80429 | − | 3.95084i | 0.0642750 | − | 0.140743i | ||||
\(789\) | −26.2682 | − | 7.71303i | −0.935171 | − | 0.274591i | ||||
\(790\) | −8.59738 | + | 5.52520i | −0.305881 | + | 0.196578i | ||||
\(791\) | −23.5497 | − | 27.1778i | −0.837330 | − | 0.966330i | ||||
\(792\) | 1.27760 | + | 1.47442i | 0.0453974 | + | 0.0523914i | ||||
\(793\) | −0.858659 | + | 1.88020i | −0.0304919 | + | 0.0667679i | ||||
\(794\) | −3.81852 | + | 26.5584i | −0.135514 | + | 0.942522i | ||||
\(795\) | −72.7357 | + | 21.3571i | −2.57967 | + | 0.757459i | ||||
\(796\) | 0.110232 | − | 0.127214i | 0.00390705 | − | 0.00450898i | ||||
\(797\) | 34.9900 | − | 10.2740i | 1.23941 | − | 0.363924i | 0.404617 | − | 0.914486i | \(-0.367405\pi\) |
0.834794 | + | 0.550563i | \(0.185587\pi\) | |||||||
\(798\) | 48.7878 | + | 106.830i | 1.72707 | + | 3.78176i | ||||
\(799\) | −0.257624 | + | 0.564117i | −0.00911407 | + | 0.0199570i | ||||
\(800\) | −7.48256 | + | 4.80875i | −0.264548 | + | 0.170015i | ||||
\(801\) | −6.03891 | − | 42.0016i | −0.213375 | − | 1.48405i | ||||
\(802\) | −3.64517 | + | 1.07032i | −0.128715 | + | 0.0377942i | ||||
\(803\) | 1.03171 | 0.0364082 | ||||||||
\(804\) | −6.12954 | − | 1.52017i | −0.216172 | − | 0.0536122i | ||||
\(805\) | −19.6635 | −0.693046 | ||||||||
\(806\) | −5.67751 | + | 1.66707i | −0.199982 | + | 0.0587199i | ||||
\(807\) | −8.25436 | − | 57.4104i | −0.290567 | − | 2.02094i | ||||
\(808\) | 14.8710 | − | 9.55700i | 0.523159 | − | 0.336214i | ||||
\(809\) | −12.2760 | + | 26.8806i | −0.431599 | + | 0.945071i | 0.561465 | + | 0.827500i | \(0.310238\pi\) |
−0.993065 | + | 0.117571i | \(0.962489\pi\) | |||||||
\(810\) | −5.55639 | − | 12.1668i | −0.195232 | − | 0.427497i | ||||
\(811\) | −36.8081 | + | 10.8078i | −1.29251 | + | 0.379514i | −0.854497 | − | 0.519457i | \(-0.826134\pi\) |
−0.438009 | + | 0.898971i | \(0.644316\pi\) | |||||||
\(812\) | −1.17640 | + | 1.35764i | −0.0412835 | + | 0.0476437i | ||||
\(813\) | −14.9211 | + | 4.38122i | −0.523304 | + | 0.153656i | ||||
\(814\) | −0.131886 | + | 0.917288i | −0.00462260 | + | 0.0321509i | ||||
\(815\) | 2.32635 | − | 5.09400i | 0.0814885 | − | 0.178435i | ||||
\(816\) | −2.19916 | − | 2.53797i | −0.0769860 | − | 0.0888466i | ||||
\(817\) | −42.0966 | − | 48.5820i | −1.47277 | − | 1.69967i | ||||
\(818\) | −40.0326 | + | 25.7274i | −1.39971 | + | 0.899537i | ||||
\(819\) | 16.7295 | + | 4.91222i | 0.584575 | + | 0.171647i | ||||
\(820\) | 1.75434 | − | 3.84147i | 0.0612643 | − | 0.134150i | ||||
\(821\) | 30.1186 | + | 19.3561i | 1.05115 | + | 0.675532i | 0.947719 | − | 0.319105i | \(-0.103382\pi\) |
0.103428 | + | 0.994637i | \(0.467019\pi\) | |||||||
\(822\) | 17.1084 | − | 10.9949i | 0.596725 | − | 0.383492i | ||||
\(823\) | 25.9858 | + | 7.63012i | 0.905808 | + | 0.265969i | 0.701275 | − | 0.712891i | \(-0.252614\pi\) |
0.204532 | + | 0.978860i | \(0.434433\pi\) | |||||||
\(824\) | 3.07908 | + | 21.4155i | 0.107265 | + | 0.746043i | ||||
\(825\) | −0.940391 | − | 2.05917i | −0.0327402 | − | 0.0716911i | ||||
\(826\) | 7.96926 | − | 55.4274i | 0.277286 | − | 1.92857i | ||||
\(827\) | 2.37423 | + | 16.5131i | 0.0825600 | + | 0.574218i | 0.988547 | + | 0.150912i | \(0.0482211\pi\) |
−0.905987 | + | 0.423305i | \(0.860870\pi\) | |||||||
\(828\) | 1.50693 | + | 0.968447i | 0.0523696 | + | 0.0336559i | ||||
\(829\) | 26.2213 | + | 30.2610i | 0.910704 | + | 1.05101i | 0.998494 | + | 0.0548699i | \(0.0174744\pi\) |
−0.0877890 | + | 0.996139i | \(0.527980\pi\) | |||||||
\(830\) | 3.91409 | + | 2.51543i | 0.135860 | + | 0.0873119i | ||||
\(831\) | 4.01636 | + | 8.79461i | 0.139326 | + | 0.305082i | ||||
\(832\) | −5.52577 | + | 6.37707i | −0.191571 | + | 0.221085i | ||||
\(833\) | −3.86826 | −0.134027 | ||||||||
\(834\) | 77.6302 | 2.68811 | ||||||||
\(835\) | 26.1280 | − | 30.1533i | 0.904196 | − | 1.04350i | ||||
\(836\) | −0.0480954 | + | 0.334511i | −0.00166342 | + | 0.0115693i | ||||
\(837\) | 16.4973 | + | 4.84406i | 0.570232 | + | 0.167435i | ||||
\(838\) | 1.69511 | + | 0.497730i | 0.0585567 | + | 0.0171938i | ||||
\(839\) | −2.49430 | + | 17.3482i | −0.0861127 | + | 0.598927i | 0.900378 | + | 0.435109i | \(0.143290\pi\) |
−0.986491 | + | 0.163818i | \(0.947619\pi\) | |||||||
\(840\) | −72.1497 | + | 83.2652i | −2.48940 | + | 2.87292i | ||||
\(841\) | −26.7184 | −0.921325 | ||||||||
\(842\) | −22.3832 | −0.771377 | ||||||||
\(843\) | 43.1129 | − | 49.7550i | 1.48489 | − | 1.71365i | ||||
\(844\) | 2.86974 | + | 6.28386i | 0.0987807 | + | 0.216299i | ||||
\(845\) | 33.0339 | + | 21.2296i | 1.13640 | + | 0.730320i | ||||
\(846\) | 6.25245 | + | 7.21571i | 0.214964 | + | 0.248081i | ||||
\(847\) | 38.5869 | + | 24.7983i | 1.32586 | + | 0.852080i | ||||
\(848\) | −4.10094 | − | 28.5227i | −0.140827 | − | 0.979473i | ||||
\(849\) | −2.13528 | + | 14.8512i | −0.0732826 | + | 0.509692i | ||||
\(850\) | 1.12057 | + | 2.45371i | 0.0384352 | + | 0.0841614i | ||||
\(851\) | 0.971979 | + | 6.76027i | 0.0333190 | + | 0.231739i | ||||
\(852\) | −4.33986 | − | 1.27430i | −0.148681 | − | 0.0436567i | ||||
\(853\) | −13.2261 | + | 8.49991i | −0.452853 | + | 0.291031i | −0.747116 | − | 0.664693i | \(-0.768562\pi\) |
0.294263 | + | 0.955725i | \(0.404926\pi\) | |||||||
\(854\) | −9.91444 | − | 6.37163i | −0.339265 | − | 0.218033i | ||||
\(855\) | −46.4844 | + | 101.787i | −1.58973 | + | 3.48103i | ||||
\(856\) | −49.8869 | − | 14.6481i | −1.70510 | − | 0.500663i | ||||
\(857\) | 27.6728 | − | 17.7842i | 0.945285 | − | 0.607498i | 0.0253964 | − | 0.999677i | \(-0.491915\pi\) |
0.919889 | + | 0.392180i | \(0.128279\pi\) | |||||||
\(858\) | −0.334648 | − | 0.386205i | −0.0114247 | − | 0.0131848i | ||||
\(859\) | −6.76834 | − | 7.81108i | −0.230933 | − | 0.266511i | 0.628443 | − | 0.777856i | \(-0.283693\pi\) |
−0.859375 | + | 0.511345i | \(0.829147\pi\) | |||||||
\(860\) | 3.12105 | − | 6.83414i | 0.106427 | − | 0.233042i | ||||
\(861\) | 7.35653 | − | 51.1658i | 0.250710 | − | 1.74373i | ||||
\(862\) | −22.1794 | + | 6.51245i | −0.755432 | + | 0.221815i | ||||
\(863\) | −22.4558 | + | 25.9153i | −0.764403 | + | 0.882169i | −0.995881 | − | 0.0906716i | \(-0.971099\pi\) |
0.231477 | + | 0.972840i | \(0.425644\pi\) | |||||||
\(864\) | 5.59803 | − | 1.64373i | 0.190449 | − | 0.0559208i | ||||
\(865\) | 30.8829 | + | 67.6242i | 1.05005 | + | 2.29929i | ||||
\(866\) | −16.4535 | + | 36.0282i | −0.559113 | + | 1.22429i | ||||
\(867\) | −38.4538 | + | 24.7127i | −1.30596 | + | 0.839288i | ||||
\(868\) | 0.796693 | + | 5.54112i | 0.0270415 | + | 0.188078i | ||||
\(869\) | −0.345379 | + | 0.101412i | −0.0117162 | + | 0.00344018i | ||||
\(870\) | 17.4332 | 0.591041 | ||||||||
\(871\) | 7.62537 | + | 1.89115i | 0.258376 | + | 0.0640790i | ||||
\(872\) | 11.4718 | 0.388483 | ||||||||
\(873\) | 14.3748 | − | 4.22081i | 0.486512 | − | 0.142853i | ||||
\(874\) | −2.13619 | − | 14.8575i | −0.0722577 | − | 0.502563i | ||||
\(875\) | 6.49828 | − | 4.17619i | 0.219682 | − | 0.141181i | ||||
\(876\) | 2.20489 | − | 4.82804i | 0.0744963 | − | 0.163124i | ||||
\(877\) | −16.2069 | − | 35.4882i | −0.547268 | − | 1.19835i | −0.958046 | − | 0.286615i | \(-0.907470\pi\) |
0.410777 | − | 0.911736i | \(-0.365257\pi\) | |||||||
\(878\) | −15.1466 | + | 4.44744i | −0.511173 | + | 0.150094i | ||||
\(879\) | 33.9986 | − | 39.2365i | 1.14675 | − | 1.32341i | ||||
\(880\) | 1.56699 | − | 0.460109i | 0.0528231 | − | 0.0155103i | ||||
\(881\) | −3.48998 | + | 24.2734i | −0.117581 | + | 0.817790i | 0.842626 | + | 0.538499i | \(0.181009\pi\) |
−0.960206 | + | 0.279291i | \(0.909901\pi\) | |||||||
\(882\) | −24.7398 | + | 54.1726i | −0.833032 | + | 1.82408i | ||||
\(883\) | −22.9420 | − | 26.4765i | −0.772060 | − | 0.891005i | 0.224449 | − | 0.974486i | \(-0.427942\pi\) |
−0.996509 | + | 0.0834811i | \(0.973396\pi\) | |||||||
\(884\) | −0.0661670 | − | 0.0763608i | −0.00222544 | − | 0.00256829i | ||||
\(885\) | 75.8557 | − | 48.7495i | 2.54986 | − | 1.63870i | ||||
\(886\) | 22.7889 | + | 6.69142i | 0.765607 | + | 0.224803i | ||||
\(887\) | 15.9441 | − | 34.9127i | 0.535351 | − | 1.17225i | −0.427943 | − | 0.903806i | \(-0.640762\pi\) |
0.963294 | − | 0.268449i | \(-0.0865110\pi\) | |||||||
\(888\) | 32.1928 | + | 20.6891i | 1.08032 | + | 0.694280i | ||||
\(889\) | 51.6100 | − | 33.1678i | 1.73094 | − | 1.11241i | ||||
\(890\) | −39.8743 | − | 11.7082i | −1.33659 | − | 0.392458i | ||||
\(891\) | −0.0670464 | − | 0.466318i | −0.00224614 | − | 0.0156222i | ||||
\(892\) | −1.47508 | − | 3.22997i | −0.0493892 | − | 0.108147i | ||||
\(893\) | −1.88928 | + | 13.1402i | −0.0632223 | + | 0.439721i | ||||
\(894\) | 2.40573 | + | 16.7322i | 0.0804597 | + | 0.559610i | ||||
\(895\) | 64.6648 | + | 41.5576i | 2.16151 | + | 1.38912i | ||||
\(896\) | −22.7652 | − | 26.2724i | −0.760531 | − | 0.877699i | ||||
\(897\) | −3.16829 | − | 2.03614i | −0.105786 | − | 0.0679846i | ||||
\(898\) | −4.19747 | − | 9.19117i | −0.140071 | − | 0.306713i | ||||
\(899\) | 4.65604 | − | 5.37336i | 0.155288 | − | 0.179212i | ||||
\(900\) | −6.89091 | −0.229697 | ||||||||
\(901\) | 3.18164 | 0.105996 | ||||||||
\(902\) | −0.587048 | + | 0.677490i | −0.0195466 | + | 0.0225580i | ||||
\(903\) | 13.0876 | − | 91.0261i | 0.435527 | − | 3.02916i | ||||
\(904\) | 24.7095 | + | 7.25535i | 0.821824 | + | 0.241309i | ||||
\(905\) | −17.2816 | − | 5.07434i | −0.574460 | − | 0.168677i | ||||
\(906\) | 10.3909 | − | 72.2700i | 0.345213 | − | 2.40101i | ||||
\(907\) | 18.0780 | − | 20.8631i | 0.600270 | − | 0.692748i | −0.371566 | − | 0.928406i | \(-0.621179\pi\) |
0.971836 | + | 0.235658i | \(0.0757246\pi\) | |||||||
\(908\) | 0.642074 | 0.0213080 | ||||||||
\(909\) | 25.6841 | 0.851887 | ||||||||
\(910\) | 11.1823 | − | 12.9051i | 0.370691 | − | 0.427800i | ||||
\(911\) | −16.3330 | − | 35.7643i | −0.541136 | − | 1.18492i | −0.960800 | − | 0.277244i | \(-0.910579\pi\) |
0.419663 | − | 0.907680i | \(-0.362148\pi\) | |||||||
\(912\) | −60.4752 | − | 38.8651i | −2.00253 | − | 1.28695i | ||||
\(913\) | 0.107317 | + | 0.123850i | 0.00355167 | + | 0.00409884i | ||||
\(914\) | −18.5106 | − | 11.8960i | −0.612277 | − | 0.393486i | ||||
\(915\) | −2.70075 | − | 18.7842i | −0.0892842 | − | 0.620985i | ||||
\(916\) | −0.264796 | + | 1.84169i | −0.00874909 | + | 0.0608513i | ||||
\(917\) | −4.90125 | − | 10.7322i | −0.161854 | − | 0.354410i | ||||
\(918\) | −0.251812 | − | 1.75139i | −0.00831104 | − | 0.0578046i | ||||
\(919\) | −29.8753 | − | 8.77218i | −0.985495 | − | 0.289367i | −0.251004 | − | 0.967986i | \(-0.580761\pi\) |
−0.734491 | + | 0.678619i | \(0.762579\pi\) | |||||||
\(920\) | 11.8460 | − | 7.61298i | 0.390552 | − | 0.250992i | ||||
\(921\) | 35.0857 | + | 22.5482i | 1.15611 | + | 0.742990i | ||||
\(922\) | 11.0021 | − | 24.0913i | 0.362335 | − | 0.793403i | ||||
\(923\) | 5.39895 | + | 1.58527i | 0.177709 | + | 0.0521799i | ||||
\(924\) | −0.406717 | + | 0.261381i | −0.0133800 | + | 0.00859880i | ||||
\(925\) | −17.2054 | − | 19.8561i | −0.565711 | − | 0.652865i | ||||
\(926\) | −7.78062 | − | 8.97931i | −0.255687 | − | 0.295078i | ||||
\(927\) | −13.0588 | + | 28.5948i | −0.428908 | + | 0.939178i | ||||
\(928\) | 0.343352 | − | 2.38806i | 0.0112711 | − | 0.0783920i | ||||
\(929\) | −3.84664 | + | 1.12948i | −0.126204 | + | 0.0370569i | −0.344225 | − | 0.938887i | \(-0.611858\pi\) |
0.218020 | + | 0.975944i | \(0.430040\pi\) | |||||||
\(930\) | 35.5763 | − | 41.0573i | 1.16659 | − | 1.34632i | ||||
\(931\) | −79.4511 | + | 23.3290i | −2.60391 | + | 0.764576i | ||||
\(932\) | −1.04277 | − | 2.28334i | −0.0341570 | − | 0.0747933i | ||||
\(933\) | −29.6151 | + | 64.8480i | −0.969555 | + | 2.12303i | ||||
\(934\) | 23.8595 | − | 15.3336i | 0.780708 | − | 0.501731i | ||||
\(935\) | 0.0256620 | + | 0.178483i | 0.000839238 | + | 0.00583703i | ||||
\(936\) | −11.9803 | + | 3.51773i | −0.391588 | + | 0.114981i | ||||
\(937\) | 15.4008 | 0.503121 | 0.251561 | − | 0.967842i | \(-0.419056\pi\) | ||||
0.251561 | + | 0.967842i | \(0.419056\pi\) | |||||||
\(938\) | −16.8604 | + | 41.5004i | −0.550513 | + | 1.35504i | ||||
\(939\) | 33.6360 | 1.09767 | ||||||||
\(940\) | −1.48870 | + | 0.437123i | −0.0485562 | + | 0.0142574i | ||||
\(941\) | 7.73230 | + | 53.7793i | 0.252066 | + | 1.75316i | 0.585769 | + | 0.810478i | \(0.300793\pi\) |
−0.333703 | + | 0.942678i | \(0.608298\pi\) | |||||||
\(942\) | 31.0049 | − | 19.9256i | 1.01019 | − | 0.649213i | ||||
\(943\) | −2.74451 | + | 6.00965i | −0.0893737 | + | 0.195701i | ||||
\(944\) | 14.2387 | + | 31.1785i | 0.463431 | + | 1.01477i | ||||
\(945\) | −47.6082 | + | 13.9790i | −1.54869 | + | 0.454738i | ||||
\(946\) | −1.04438 | + | 1.20528i | −0.0339558 | + | 0.0391871i | ||||
\(947\) | −23.2004 | + | 6.81224i | −0.753911 | + | 0.221368i | −0.636035 | − | 0.771660i | \(-0.719427\pi\) |
−0.117876 | + | 0.993028i | \(0.537608\pi\) | |||||||
\(948\) | −0.263544 | + | 1.83299i | −0.00855950 | + | 0.0595326i | ||||
\(949\) | −2.74297 | + | 6.00626i | −0.0890404 | + | 0.194971i | ||||
\(950\) | 37.8136 | + | 43.6392i | 1.22684 | + | 1.41584i | ||||
\(951\) | −14.8523 | − | 17.1405i | −0.481619 | − | 0.555818i | ||||
\(952\) | 3.89007 | − | 2.50000i | 0.126078 | − | 0.0810254i | ||||
\(953\) | 27.3567 | + | 8.03266i | 0.886172 | + | 0.260203i | 0.692979 | − | 0.720957i | \(-0.256298\pi\) |
0.193192 | + | 0.981161i | \(0.438116\pi\) | |||||||
\(954\) | 20.3484 | − | 44.5569i | 0.658805 | − | 1.44258i | ||||
\(955\) | 56.1122 | + | 36.0611i | 1.81575 | + | 1.16691i | ||||
\(956\) | 6.37064 | − | 4.09416i | 0.206041 | − | 0.132415i | ||||
\(957\) | 0.589161 | + | 0.172993i | 0.0190449 | + | 0.00559208i | ||||
\(958\) | −4.00391 | − | 27.8478i | −0.129360 | − | 0.899721i | ||||
\(959\) | 9.94316 | + | 21.7725i | 0.321081 | + | 0.703070i | ||||
\(960\) | 11.0253 | − | 76.6826i | 0.355840 | − | 2.47492i | ||||
\(961\) | 1.25855 | + | 8.75339i | 0.0405983 | + | 0.282367i | ||||
\(962\) | −4.98950 | − | 3.20656i | −0.160868 | − | 0.103384i | ||||
\(963\) | −49.4704 | − | 57.0918i | −1.59416 | − | 1.83976i | ||||
\(964\) | −0.113499 | − | 0.0729417i | −0.00365557 | − | 0.00234929i | ||||
\(965\) | −19.7335 | − | 43.2102i | −0.635242 | − | 1.39099i | ||||
\(966\) | 14.0621 | − | 16.2285i | 0.452440 | − | 0.522144i | ||||
\(967\) | 0.672521 | 0.0216268 | 0.0108134 | − | 0.999942i | \(-0.496558\pi\) | ||||
0.0108134 | + | 0.999942i | \(0.496558\pi\) | |||||||
\(968\) | −32.8472 | −1.05575 | ||||||||
\(969\) | 5.19777 | − | 5.99855i | 0.166977 | − | 0.192701i | ||||
\(970\) | 2.08811 | − | 14.5231i | 0.0670450 | − | 0.466308i | ||||
\(971\) | 54.5205 | + | 16.0087i | 1.74965 | + | 0.513742i | 0.990540 | − | 0.137225i | \(-0.0438183\pi\) |
0.759106 | + | 0.650967i | \(0.225637\pi\) | |||||||
\(972\) | −5.31820 | − | 1.56156i | −0.170581 | − | 0.0500872i | ||||
\(973\) | −13.0029 | + | 90.4370i | −0.416853 | + | 2.89928i | ||||
\(974\) | 30.8834 | − | 35.6413i | 0.989567 | − | 1.14202i | ||||
\(975\) | 14.4880 | 0.463986 | ||||||||
\(976\) | 7.21378 | 0.230907 | ||||||||
\(977\) | −16.9419 | + | 19.5520i | −0.542019 | + | 0.625524i | −0.959005 | − | 0.283390i | \(-0.908541\pi\) |
0.416986 | + | 0.908913i | \(0.363087\pi\) | |||||||
\(978\) | 2.54048 | + | 5.56287i | 0.0812356 | + | 0.177881i | ||||
\(979\) | −1.23138 | − | 0.791363i | −0.0393552 | − | 0.0252921i | ||||
\(980\) | −6.33764 | − | 7.31403i | −0.202449 | − | 0.233638i | ||||
\(981\) | 14.0220 | + | 9.01137i | 0.447687 | + | 0.287711i | ||||
\(982\) | −1.50363 | − | 10.4580i | −0.0479827 | − | 0.333727i | ||||
\(983\) | −5.25671 | + | 36.5613i | −0.167663 | + | 1.16612i | 0.716035 | + | 0.698065i | \(0.245955\pi\) |
−0.883698 | + | 0.468058i | \(0.844954\pi\) | |||||||
\(984\) | 15.3777 | + | 33.6724i | 0.490222 | + | 1.07344i | ||||
\(985\) | −7.05998 | − | 49.1032i | −0.224950 | − | 1.56456i | ||||
\(986\) | −0.702044 | − | 0.206139i | −0.0223576 | − | 0.00656479i | ||||
\(987\) | −15.9766 | + | 10.2675i | −0.508541 | + | 0.326819i | ||||
\(988\) | −1.81954 | − | 1.16935i | −0.0578873 | − | 0.0372019i | ||||
\(989\) | −4.88260 | + | 10.6914i | −0.155258 | + | 0.339967i | ||||
\(990\) | 2.66367 | + | 0.782124i | 0.0846570 | + | 0.0248575i | ||||
\(991\) | −25.0967 | + | 16.1286i | −0.797222 | + | 0.512343i | −0.874708 | − | 0.484650i | \(-0.838947\pi\) |
0.0774864 | + | 0.996993i | \(0.475311\pi\) | |||||||
\(992\) | −4.92349 | − | 5.68201i | −0.156321 | − | 0.180404i | ||||
\(993\) | −28.9542 | − | 33.4149i | −0.918834 | − | 1.06039i | ||||
\(994\) | −13.3276 | + | 29.1834i | −0.422726 | + | 0.925641i | ||||
\(995\) | 0.273613 | − | 1.90302i | 0.00867412 | − | 0.0603298i | ||||
\(996\) | 0.808926 | − | 0.237522i | 0.0256318 | − | 0.00752617i | ||||
\(997\) | −20.8000 | + | 24.0045i | −0.658742 | + | 0.760229i | −0.982571 | − | 0.185887i | \(-0.940484\pi\) |
0.323829 | + | 0.946116i | \(0.395030\pi\) | |||||||
\(998\) | 23.7600 | − | 6.97655i | 0.752108 | − | 0.220839i | ||||
\(999\) | 7.15927 | + | 15.6766i | 0.226509 | + | 0.495986i |
(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 | 67.2.e.c.22.1 | ✓ | 20 | |
3.2 | odd | 2 | 603.2.u.c.424.2 | 20 | |||
67.8 | odd | 22 | 4489.2.a.m.1.7 | 10 | |||
67.59 | even | 11 | 4489.2.a.l.1.4 | 10 | |||
67.64 | even | 11 | inner | 67.2.e.c.64.1 | yes | 20 | |
201.131 | odd | 22 | 603.2.u.c.64.2 | 20 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
67.2.e.c.22.1 | ✓ | 20 | 1.1 | even | 1 | trivial | |
67.2.e.c.64.1 | yes | 20 | 67.64 | even | 11 | inner | |
603.2.u.c.64.2 | 20 | 201.131 | odd | 22 | |||
603.2.u.c.424.2 | 20 | 3.2 | odd | 2 | |||
4489.2.a.l.1.4 | 10 | 67.59 | even | 11 | |||
4489.2.a.m.1.7 | 10 | 67.8 | odd | 22 |