Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [160,2,Mod(29,160)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(160, base_ring=CyclotomicField(8))
chi = DirichletCharacter(H, H._module([0, 3, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("160.29");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 160 = 2^{5} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 160.z (of order \(8\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.27760643234\) |
Analytic rank: | \(0\) |
Dimension: | \(88\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{8})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{8}]$ |
Embedding invariants
Embedding label | 29.8 | ||
Character | \(\chi\) | \(=\) | 160.29 |
Dual form | 160.2.z.a.149.8 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/160\mathbb{Z}\right)^\times\).
\(n\) | \(31\) | \(97\) | \(101\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{3}{8}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.578672 | − | 1.29040i | −0.409183 | − | 0.912452i | ||||
\(3\) | −0.245584 | + | 0.592892i | −0.141788 | + | 0.342306i | −0.978782 | − | 0.204906i | \(-0.934311\pi\) |
0.836994 | + | 0.547212i | \(0.184311\pi\) | |||||||
\(4\) | −1.33028 | + | 1.49344i | −0.665138 | + | 0.746720i | ||||
\(5\) | 1.89351 | + | 1.18938i | 0.846801 | + | 0.531909i | ||||
\(6\) | 0.907181 | − | 0.0261881i | 0.370355 | − | 0.0106912i | ||||
\(7\) | −0.502274 | − | 0.502274i | −0.189842 | − | 0.189842i | 0.605786 | − | 0.795628i | \(-0.292859\pi\) |
−0.795628 | + | 0.605786i | \(0.792859\pi\) | |||||||
\(8\) | 2.69693 | + | 0.852380i | 0.953510 | + | 0.301362i | ||||
\(9\) | 1.83011 | + | 1.83011i | 0.610037 | + | 0.610037i | ||||
\(10\) | 0.439066 | − | 3.13165i | 0.138845 | − | 0.990314i | ||||
\(11\) | 1.67371 | − | 0.693272i | 0.504642 | − | 0.209029i | −0.115814 | − | 0.993271i | \(-0.536948\pi\) |
0.620456 | + | 0.784242i | \(0.286948\pi\) | |||||||
\(12\) | −0.558754 | − | 1.15547i | −0.161298 | − | 0.333557i | ||||
\(13\) | 2.07378 | + | 0.858986i | 0.575162 | + | 0.238240i | 0.651253 | − | 0.758861i | \(-0.274244\pi\) |
−0.0760905 | + | 0.997101i | \(0.524244\pi\) | |||||||
\(14\) | −0.357483 | + | 0.938787i | −0.0955415 | + | 0.250901i | ||||
\(15\) | −1.17019 | + | 0.830550i | −0.302142 | + | 0.214447i | ||||
\(16\) | −0.460728 | − | 3.97338i | −0.115182 | − | 0.993344i | ||||
\(17\) | −2.02880 | −0.492055 | −0.246028 | − | 0.969263i | \(-0.579125\pi\) | ||||
−0.246028 | + | 0.969263i | \(0.579125\pi\) | |||||||
\(18\) | 1.30255 | − | 3.42061i | 0.307013 | − | 0.806247i | ||||
\(19\) | 1.77255 | − | 4.27932i | 0.406651 | − | 0.981743i | −0.579361 | − | 0.815071i | \(-0.696698\pi\) |
0.986012 | − | 0.166672i | \(-0.0533020\pi\) | |||||||
\(20\) | −4.29516 | + | 1.24563i | −0.960427 | + | 0.278530i | ||||
\(21\) | 0.421144 | − | 0.174444i | 0.0919012 | − | 0.0380667i | ||||
\(22\) | −1.86313 | − | 1.75858i | −0.397220 | − | 0.374930i | ||||
\(23\) | −2.46911 | + | 2.46911i | −0.514846 | + | 0.514846i | −0.916007 | − | 0.401162i | \(-0.868607\pi\) |
0.401162 | + | 0.916007i | \(0.368607\pi\) | |||||||
\(24\) | −1.16769 | + | 1.38966i | −0.238354 | + | 0.283663i | ||||
\(25\) | 2.17073 | + | 4.50421i | 0.434145 | + | 0.900843i | ||||
\(26\) | −0.0915990 | − | 3.17308i | −0.0179640 | − | 0.622292i | ||||
\(27\) | −3.31318 | + | 1.37236i | −0.637622 | + | 0.264111i | ||||
\(28\) | 1.41828 | − | 0.0819528i | 0.268030 | − | 0.0154876i | ||||
\(29\) | −4.73420 | − | 1.96097i | −0.879118 | − | 0.364143i | −0.102963 | − | 0.994685i | \(-0.532832\pi\) |
−0.776155 | + | 0.630543i | \(0.782832\pi\) | |||||||
\(30\) | 1.74890 | + | 1.02940i | 0.319304 | + | 0.187942i | ||||
\(31\) | −0.856835 | −0.153892 | −0.0769460 | − | 0.997035i | \(-0.524517\pi\) | ||||
−0.0769460 | + | 0.997035i | \(0.524517\pi\) | |||||||
\(32\) | −4.86065 | + | 2.89381i | −0.859249 | + | 0.511558i | ||||
\(33\) | 1.16258i | 0.202380i | ||||||||
\(34\) | 1.17401 | + | 2.61796i | 0.201341 | + | 0.448977i | ||||
\(35\) | −0.353661 | − | 1.54846i | −0.0597797 | − | 0.261737i | ||||
\(36\) | −5.16772 | + | 0.298607i | −0.861286 | + | 0.0497679i | ||||
\(37\) | 2.81698 | − | 1.16683i | 0.463109 | − | 0.191826i | −0.138914 | − | 0.990304i | \(-0.544361\pi\) |
0.602024 | + | 0.798478i | \(0.294361\pi\) | |||||||
\(38\) | −6.54777 | + | 0.189018i | −1.06219 | + | 0.0306628i | ||||
\(39\) | −1.01857 | + | 1.01857i | −0.163102 | + | 0.163102i | ||||
\(40\) | 4.09285 | + | 4.82168i | 0.647136 | + | 0.762374i | ||||
\(41\) | 5.04215 | + | 5.04215i | 0.787452 | + | 0.787452i | 0.981076 | − | 0.193624i | \(-0.0620240\pi\) |
−0.193624 | + | 0.981076i | \(0.562024\pi\) | |||||||
\(42\) | −0.468807 | − | 0.442500i | −0.0723385 | − | 0.0682792i | ||||
\(43\) | 1.70397 | + | 4.11374i | 0.259853 | + | 0.627340i | 0.998928 | − | 0.0462823i | \(-0.0147374\pi\) |
−0.739076 | + | 0.673622i | \(0.764737\pi\) | |||||||
\(44\) | −1.19113 | + | 3.42182i | −0.179570 | + | 0.515859i | ||||
\(45\) | 1.28862 | + | 5.64203i | 0.192096 | + | 0.841065i | ||||
\(46\) | 4.61496 | + | 1.75734i | 0.680438 | + | 0.259106i | ||||
\(47\) | −11.0620 | −1.61356 | −0.806779 | − | 0.590854i | \(-0.798791\pi\) | ||||
−0.806779 | + | 0.590854i | \(0.798791\pi\) | |||||||
\(48\) | 2.46893 | + | 0.702636i | 0.356359 | + | 0.101417i | ||||
\(49\) | − | 6.49544i | − | 0.927920i | ||||||
\(50\) | 4.55611 | − | 5.40757i | 0.644331 | − | 0.764747i | ||||
\(51\) | 0.498239 | − | 1.20286i | 0.0697674 | − | 0.168434i | ||||
\(52\) | −4.04154 | + | 1.95437i | −0.560461 | + | 0.271023i | ||||
\(53\) | −5.21863 | − | 12.5989i | −0.716833 | − | 1.73059i | −0.682174 | − | 0.731190i | \(-0.738965\pi\) |
−0.0346593 | − | 0.999399i | \(-0.511035\pi\) | |||||||
\(54\) | 3.68815 | + | 3.48118i | 0.501893 | + | 0.473729i | ||||
\(55\) | 3.99374 | + | 0.677967i | 0.538516 | + | 0.0914171i | ||||
\(56\) | −0.926471 | − | 1.78273i | −0.123805 | − | 0.238227i | ||||
\(57\) | 2.10186 | + | 2.10186i | 0.278398 | + | 0.278398i | ||||
\(58\) | 0.209110 | + | 7.24378i | 0.0274575 | + | 0.951154i | ||||
\(59\) | −4.27763 | − | 10.3271i | −0.556901 | − | 1.34448i | −0.912208 | − | 0.409727i | \(-0.865624\pi\) |
0.355307 | − | 0.934749i | \(-0.384376\pi\) | |||||||
\(60\) | 0.316301 | − | 2.85247i | 0.0408342 | − | 0.368252i | ||||
\(61\) | −6.75690 | − | 2.79880i | −0.865132 | − | 0.358350i | −0.0944198 | − | 0.995532i | \(-0.530100\pi\) |
−0.770713 | + | 0.637183i | \(0.780100\pi\) | |||||||
\(62\) | 0.495826 | + | 1.10566i | 0.0629700 | + | 0.140419i | ||||
\(63\) | − | 1.83843i | − | 0.231621i | ||||||
\(64\) | 6.54690 | + | 4.59762i | 0.818362 | + | 0.574703i | ||||
\(65\) | 2.90504 | + | 4.09301i | 0.360326 | + | 0.507676i | ||||
\(66\) | 1.50020 | − | 0.672755i | 0.184662 | − | 0.0828104i | ||||
\(67\) | 5.20997 | − | 12.5780i | 0.636500 | − | 1.53665i | −0.194813 | − | 0.980840i | \(-0.562410\pi\) |
0.831312 | − | 0.555805i | \(-0.187590\pi\) | |||||||
\(68\) | 2.69886 | − | 3.02988i | 0.327285 | − | 0.367427i | ||||
\(69\) | −0.857543 | − | 2.07029i | −0.103236 | − | 0.249234i | ||||
\(70\) | −1.79348 | + | 1.35241i | −0.214361 | + | 0.161644i | ||||
\(71\) | −10.8298 | + | 10.8298i | −1.28527 | + | 1.28527i | −0.347636 | + | 0.937630i | \(0.613015\pi\) |
−0.937630 | + | 0.347636i | \(0.886985\pi\) | |||||||
\(72\) | 3.37574 | + | 6.49564i | 0.397835 | + | 0.765518i | ||||
\(73\) | 5.74167 | − | 5.74167i | 0.672012 | − | 0.672012i | −0.286168 | − | 0.958179i | \(-0.592382\pi\) |
0.958179 | + | 0.286168i | \(0.0923815\pi\) | |||||||
\(74\) | −3.13580 | − | 2.95983i | −0.364529 | − | 0.344073i | ||||
\(75\) | −3.20361 | + | 0.180844i | −0.369921 | + | 0.0208820i | ||||
\(76\) | 4.03292 | + | 8.33988i | 0.462608 | + | 0.956649i | ||||
\(77\) | −1.18887 | − | 0.492447i | −0.135484 | − | 0.0561195i | ||||
\(78\) | 1.90379 | + | 0.724948i | 0.215561 | + | 0.0820842i | ||||
\(79\) | − | 4.77217i | − | 0.536912i | −0.963292 | − | 0.268456i | \(-0.913487\pi\) | ||
0.963292 | − | 0.268456i | \(-0.0865133\pi\) | |||||||
\(80\) | 3.85349 | − | 8.07160i | 0.430833 | − | 0.902432i | ||||
\(81\) | 5.46312i | 0.607013i | ||||||||
\(82\) | 3.58865 | − | 9.42416i | 0.396300 | − | 1.04072i | ||||
\(83\) | 12.1041 | + | 5.01368i | 1.32860 | + | 0.550323i | 0.930255 | − | 0.366915i | \(-0.119586\pi\) |
0.398341 | + | 0.917237i | \(0.369586\pi\) | |||||||
\(84\) | −0.299717 | + | 0.861012i | −0.0327018 | + | 0.0939441i | ||||
\(85\) | −3.84154 | − | 2.41302i | −0.416673 | − | 0.261729i | ||||
\(86\) | 4.32235 | − | 4.57932i | 0.466091 | − | 0.493800i | ||||
\(87\) | 2.32528 | − | 2.32528i | 0.249297 | − | 0.249297i | ||||
\(88\) | 5.10481 | − | 0.443075i | 0.544174 | − | 0.0472319i | ||||
\(89\) | 4.49248 | − | 4.49248i | 0.476202 | − | 0.476202i | −0.427713 | − | 0.903915i | \(-0.640681\pi\) |
0.903915 | + | 0.427713i | \(0.140681\pi\) | |||||||
\(90\) | 6.53480 | − | 4.92772i | 0.688829 | − | 0.519428i | ||||
\(91\) | −0.610157 | − | 1.47305i | −0.0639619 | − | 0.154418i | ||||
\(92\) | −0.402869 | − | 6.97208i | −0.0420020 | − | 0.726889i | ||||
\(93\) | 0.210425 | − | 0.508010i | 0.0218200 | − | 0.0526782i | ||||
\(94\) | 6.40127 | + | 14.2744i | 0.660240 | + | 1.47229i | ||||
\(95\) | 8.44609 | − | 5.99466i | 0.866551 | − | 0.615040i | ||||
\(96\) | −0.522019 | − | 3.59251i | −0.0532783 | − | 0.366659i | ||||
\(97\) | 1.01543i | 0.103101i | 0.998670 | + | 0.0515507i | \(0.0164164\pi\) | ||||
−0.998670 | + | 0.0515507i | \(0.983584\pi\) | |||||||
\(98\) | −8.38173 | + | 3.75873i | −0.846683 | + | 0.379689i | ||||
\(99\) | 4.33183 | + | 1.79430i | 0.435366 | + | 0.180334i | ||||
\(100\) | −9.61444 | − | 2.75000i | −0.961444 | − | 0.275000i | ||||
\(101\) | −2.71336 | − | 6.55064i | −0.269990 | − | 0.651813i | 0.729493 | − | 0.683989i | \(-0.239756\pi\) |
−0.999482 | + | 0.0321761i | \(0.989756\pi\) | |||||||
\(102\) | −1.84049 | + | 0.0531303i | −0.182235 | + | 0.00526068i | ||||
\(103\) | 8.47055 | + | 8.47055i | 0.834628 | + | 0.834628i | 0.988146 | − | 0.153518i | \(-0.0490602\pi\) |
−0.153518 | + | 0.988146i | \(0.549060\pi\) | |||||||
\(104\) | 4.86065 | + | 4.08427i | 0.476626 | + | 0.400496i | ||||
\(105\) | 1.00492 | + | 0.170593i | 0.0980701 | + | 0.0166481i | ||||
\(106\) | −13.2377 | + | 14.0247i | −1.28576 | + | 1.36220i | ||||
\(107\) | 3.82698 | + | 9.23915i | 0.369968 | + | 0.893182i | 0.993755 | + | 0.111587i | \(0.0355935\pi\) |
−0.623787 | + | 0.781595i | \(0.714407\pi\) | |||||||
\(108\) | 2.35790 | − | 6.77366i | 0.226889 | − | 0.651795i | ||||
\(109\) | −0.0151896 | + | 0.0366710i | −0.00145490 | + | 0.00351245i | −0.924605 | − | 0.380927i | \(-0.875605\pi\) |
0.923150 | + | 0.384439i | \(0.125605\pi\) | |||||||
\(110\) | −1.43622 | − | 5.54585i | −0.136938 | − | 0.528776i | ||||
\(111\) | 1.95672i | 0.185724i | ||||||||
\(112\) | −1.76431 | + | 2.22713i | −0.166712 | + | 0.210444i | ||||
\(113\) | −17.8934 | −1.68327 | −0.841634 | − | 0.540049i | \(-0.818406\pi\) | ||||
−0.841634 | + | 0.540049i | \(0.818406\pi\) | |||||||
\(114\) | 1.49596 | − | 3.92854i | 0.140109 | − | 0.367941i | ||||
\(115\) | −7.61201 | + | 1.73855i | −0.709823 | + | 0.162121i | ||||
\(116\) | 9.22638 | − | 4.46161i | 0.856648 | − | 0.414250i | ||||
\(117\) | 2.22320 | + | 5.36728i | 0.205535 | + | 0.496205i | ||||
\(118\) | −10.8508 | + | 11.4959i | −0.998897 | + | 1.05828i | ||||
\(119\) | 1.01901 | + | 1.01901i | 0.0934126 | + | 0.0934126i | ||||
\(120\) | −3.86387 | + | 1.24249i | −0.352722 | + | 0.113423i | ||||
\(121\) | −5.45751 | + | 5.45751i | −0.496137 | + | 0.496137i | ||||
\(122\) | 0.298453 | + | 10.3387i | 0.0270207 | + | 0.936023i | ||||
\(123\) | −4.22772 | + | 1.75118i | −0.381201 | + | 0.157899i | ||||
\(124\) | 1.13983 | − | 1.27963i | 0.102359 | − | 0.114914i | ||||
\(125\) | −1.24696 | + | 11.1106i | −0.111532 | + | 0.993761i | ||||
\(126\) | −2.37232 | + | 1.06385i | −0.211343 | + | 0.0947754i | ||||
\(127\) | − | 9.04443i | − | 0.802564i | −0.915955 | − | 0.401282i | \(-0.868565\pi\) | ||
0.915955 | − | 0.401282i | \(-0.131435\pi\) | |||||||
\(128\) | 2.14428 | − | 11.1086i | 0.189529 | − | 0.981875i | ||||
\(129\) | −2.85747 | −0.251586 | ||||||||
\(130\) | 3.60057 | − | 6.11719i | 0.315791 | − | 0.536513i | ||||
\(131\) | 15.0828 | + | 6.24752i | 1.31779 | + | 0.545848i | 0.927149 | − | 0.374693i | \(-0.122252\pi\) |
0.390645 | + | 0.920541i | \(0.372252\pi\) | |||||||
\(132\) | −1.73625 | − | 1.54656i | −0.151121 | − | 0.134611i | ||||
\(133\) | −3.03969 | + | 1.25908i | −0.263575 | + | 0.109176i | ||||
\(134\) | −19.2455 | + | 0.555571i | −1.66256 | + | 0.0479941i | ||||
\(135\) | −7.90579 | − | 1.34207i | −0.680422 | − | 0.115507i | ||||
\(136\) | −5.47153 | − | 1.72930i | −0.469179 | − | 0.148287i | ||||
\(137\) | −4.60247 | + | 4.60247i | −0.393216 | + | 0.393216i | −0.875832 | − | 0.482616i | \(-0.839687\pi\) |
0.482616 | + | 0.875832i | \(0.339687\pi\) | |||||||
\(138\) | −2.17527 | + | 2.30459i | −0.185171 | + | 0.196180i | ||||
\(139\) | −8.73769 | + | 3.61927i | −0.741122 | + | 0.306983i | −0.721113 | − | 0.692817i | \(-0.756369\pi\) |
−0.0200083 | + | 0.999800i | \(0.506369\pi\) | |||||||
\(140\) | 2.78299 | + | 1.53170i | 0.235206 | + | 0.129452i | ||||
\(141\) | 2.71665 | − | 6.55856i | 0.228783 | − | 0.552331i | ||||
\(142\) | 20.2418 | + | 7.70792i | 1.69865 | + | 0.646834i | ||||
\(143\) | 4.06641 | 0.340050 | ||||||||
\(144\) | 6.42854 | − | 8.11491i | 0.535712 | − | 0.676242i | ||||
\(145\) | −6.63188 | − | 9.34389i | −0.550748 | − | 0.775967i | ||||
\(146\) | −10.7316 | − | 4.08652i | −0.888154 | − | 0.338203i | ||||
\(147\) | 3.85109 | + | 1.59518i | 0.317633 | + | 0.131568i | ||||
\(148\) | −2.00477 | + | 5.75921i | −0.164791 | + | 0.473404i | ||||
\(149\) | 5.56412 | − | 2.30473i | 0.455831 | − | 0.188811i | −0.142941 | − | 0.989731i | \(-0.545656\pi\) |
0.598771 | + | 0.800920i | \(0.295656\pi\) | |||||||
\(150\) | 2.08720 | + | 4.02929i | 0.170419 | + | 0.328990i | ||||
\(151\) | −0.639759 | − | 0.639759i | −0.0520629 | − | 0.0520629i | 0.680596 | − | 0.732659i | \(-0.261721\pi\) |
−0.732659 | + | 0.680596i | \(0.761721\pi\) | |||||||
\(152\) | 8.42806 | − | 10.0301i | 0.683606 | − | 0.813552i | ||||
\(153\) | −3.71292 | − | 3.71292i | −0.300172 | − | 0.300172i | ||||
\(154\) | 0.0525126 | + | 1.81909i | 0.00423159 | + | 0.146586i | ||||
\(155\) | −1.62242 | − | 1.01911i | −0.130316 | − | 0.0818566i | ||||
\(156\) | −0.166194 | − | 2.87616i | −0.0133062 | − | 0.230277i | ||||
\(157\) | −2.76534 | + | 6.67612i | −0.220698 | + | 0.532812i | −0.994985 | − | 0.100022i | \(-0.968109\pi\) |
0.774287 | + | 0.632834i | \(0.218109\pi\) | |||||||
\(158\) | −6.15803 | + | 2.76153i | −0.489906 | + | 0.219695i | ||||
\(159\) | 8.75138 | 0.694030 | ||||||||
\(160\) | −12.6455 | − | 0.301738i | −0.999715 | − | 0.0238545i | ||||
\(161\) | 2.48034 | 0.195478 | ||||||||
\(162\) | 7.04962 | − | 3.16135i | 0.553870 | − | 0.248379i | ||||
\(163\) | −1.26452 | + | 3.05283i | −0.0990450 | + | 0.239116i | −0.965633 | − | 0.259908i | \(-0.916308\pi\) |
0.866588 | + | 0.499024i | \(0.166308\pi\) | |||||||
\(164\) | −14.2376 | + | 0.822696i | −1.11177 | + | 0.0642417i | ||||
\(165\) | −1.38276 | + | 2.20136i | −0.107648 | + | 0.171375i | ||||
\(166\) | −0.534639 | − | 18.5204i | −0.0414960 | − | 1.43746i | ||||
\(167\) | 16.6765 | + | 16.6765i | 1.29047 | + | 1.29047i | 0.934498 | + | 0.355967i | \(0.115849\pi\) |
0.355967 | + | 0.934498i | \(0.384151\pi\) | |||||||
\(168\) | 1.28449 | − | 0.111488i | 0.0991006 | − | 0.00860149i | ||||
\(169\) | −5.62970 | − | 5.62970i | −0.433054 | − | 0.433054i | ||||
\(170\) | −0.890775 | + | 6.35347i | −0.0683193 | + | 0.487289i | ||||
\(171\) | 11.0756 | − | 4.58766i | 0.846972 | − | 0.350827i | ||||
\(172\) | −8.41038 | − | 2.92764i | −0.641286 | − | 0.223231i | ||||
\(173\) | −6.82358 | − | 2.82642i | −0.518787 | − | 0.214889i | 0.107897 | − | 0.994162i | \(-0.465588\pi\) |
−0.626684 | + | 0.779273i | \(0.715588\pi\) | |||||||
\(174\) | −4.34613 | − | 1.65497i | −0.329479 | − | 0.125463i | ||||
\(175\) | 1.17205 | − | 3.35265i | 0.0885986 | − | 0.253436i | ||||
\(176\) | −3.52575 | − | 6.33086i | −0.265764 | − | 0.477206i | ||||
\(177\) | 7.17338 | 0.539185 | ||||||||
\(178\) | −8.39677 | − | 3.19743i | −0.629365 | − | 0.239658i | ||||
\(179\) | −7.46409 | + | 18.0199i | −0.557892 | + | 1.34687i | 0.353539 | + | 0.935420i | \(0.384978\pi\) |
−0.911432 | + | 0.411452i | \(0.865022\pi\) | |||||||
\(180\) | −10.1403 | − | 5.58099i | −0.755810 | − | 0.415982i | ||||
\(181\) | 12.1376 | − | 5.02754i | 0.902178 | − | 0.373694i | 0.117121 | − | 0.993118i | \(-0.462634\pi\) |
0.785057 | + | 0.619424i | \(0.212634\pi\) | |||||||
\(182\) | −1.54775 | + | 1.63976i | −0.114727 | + | 0.121547i | ||||
\(183\) | 3.31877 | − | 3.31877i | 0.245331 | − | 0.245331i | ||||
\(184\) | −8.76365 | + | 4.55441i | −0.646065 | + | 0.335756i | ||||
\(185\) | 6.72179 | + | 1.14107i | 0.494196 | + | 0.0838934i | ||||
\(186\) | −0.777304 | + | 0.0224389i | −0.0569947 | + | 0.00164530i | ||||
\(187\) | −3.39561 | + | 1.40651i | −0.248311 | + | 0.102854i | ||||
\(188\) | 14.7155 | − | 16.5204i | 1.07324 | − | 1.20488i | ||||
\(189\) | 2.35343 | + | 0.974821i | 0.171186 | + | 0.0709078i | ||||
\(190\) | −12.6230 | − | 7.42991i | −0.915772 | − | 0.539022i | ||||
\(191\) | −12.8998 | −0.933400 | −0.466700 | − | 0.884416i | \(-0.654557\pi\) | ||||
−0.466700 | + | 0.884416i | \(0.654557\pi\) | |||||||
\(192\) | −4.33370 | + | 2.75250i | −0.312758 | + | 0.198645i | ||||
\(193\) | − | 5.34854i | − | 0.384996i | −0.981297 | − | 0.192498i | \(-0.938341\pi\) | ||
0.981297 | − | 0.192498i | \(-0.0616589\pi\) | |||||||
\(194\) | 1.31031 | − | 0.587601i | 0.0940751 | − | 0.0421873i | ||||
\(195\) | −3.14015 | + | 0.717197i | −0.224871 | + | 0.0513596i | ||||
\(196\) | 9.70055 | + | 8.64074i | 0.692897 | + | 0.617195i | ||||
\(197\) | 1.50704 | − | 0.624236i | 0.107372 | − | 0.0444749i | −0.328351 | − | 0.944556i | \(-0.606493\pi\) |
0.435723 | + | 0.900081i | \(0.356493\pi\) | |||||||
\(198\) | −0.191338 | − | 6.62812i | −0.0135978 | − | 0.471040i | ||||
\(199\) | 10.7252 | − | 10.7252i | 0.760288 | − | 0.760288i | −0.216086 | − | 0.976374i | \(-0.569329\pi\) |
0.976374 | + | 0.216086i | \(0.0693292\pi\) | |||||||
\(200\) | 2.01500 | + | 13.9978i | 0.142482 | + | 0.989797i | ||||
\(201\) | 6.17790 | + | 6.17790i | 0.435756 | + | 0.435756i | ||||
\(202\) | −6.88281 | + | 7.29200i | −0.484273 | + | 0.513063i | ||||
\(203\) | 1.39292 | + | 3.36281i | 0.0977638 | + | 0.236023i | ||||
\(204\) | 1.13360 | + | 2.34422i | 0.0793677 | + | 0.164128i | ||||
\(205\) | 3.55029 | + | 15.5444i | 0.247963 | + | 1.08567i | ||||
\(206\) | 6.02875 | − | 15.8321i | 0.420043 | − | 1.10307i | ||||
\(207\) | −9.03750 | −0.628150 | ||||||||
\(208\) | 2.45763 | − | 8.63566i | 0.170406 | − | 0.598775i | ||||
\(209\) | − | 8.39118i | − | 0.580430i | ||||||
\(210\) | −0.361386 | − | 1.39547i | −0.0249380 | − | 0.0962964i | ||||
\(211\) | 3.82019 | − | 9.22276i | 0.262993 | − | 0.634921i | −0.736128 | − | 0.676842i | \(-0.763348\pi\) |
0.999121 | + | 0.0419214i | \(0.0133479\pi\) | |||||||
\(212\) | 25.7579 | + | 8.96629i | 1.76906 | + | 0.615807i | ||||
\(213\) | −3.76129 | − | 9.08055i | −0.257719 | − | 0.622189i | ||||
\(214\) | 9.70765 | − | 10.2848i | 0.663601 | − | 0.703053i | ||||
\(215\) | −1.66635 | + | 9.81607i | −0.113644 | + | 0.669451i | ||||
\(216\) | −10.1052 | + | 0.877086i | −0.687572 | + | 0.0596782i | ||||
\(217\) | 0.430366 | + | 0.430366i | 0.0292151 | + | 0.0292151i | ||||
\(218\) | 0.0561102 | − | 0.00161976i | 0.00380026 | − | 0.000109704i | ||||
\(219\) | 1.99413 | + | 4.81425i | 0.134751 | + | 0.325317i | ||||
\(220\) | −6.32528 | + | 5.06253i | −0.426451 | + | 0.341316i | ||||
\(221\) | −4.20727 | − | 1.74271i | −0.283011 | − | 0.117227i | ||||
\(222\) | 2.52496 | − | 1.13230i | 0.169464 | − | 0.0759951i | ||||
\(223\) | 17.8672i | 1.19648i | 0.801318 | + | 0.598239i | \(0.204133\pi\) | ||||
−0.801318 | + | 0.598239i | \(0.795867\pi\) | |||||||
\(224\) | 3.89486 | + | 0.987891i | 0.260236 | + | 0.0660063i | ||||
\(225\) | −4.27054 | + | 12.2159i | −0.284703 | + | 0.814392i | ||||
\(226\) | 10.3544 | + | 23.0897i | 0.688764 | + | 1.53590i | ||||
\(227\) | 6.24074 | − | 15.0665i | 0.414212 | − | 0.999997i | −0.569782 | − | 0.821796i | \(-0.692972\pi\) |
0.983994 | − | 0.178201i | \(-0.0570276\pi\) | |||||||
\(228\) | −5.93506 | + | 0.342947i | −0.393059 | + | 0.0227122i | ||||
\(229\) | 9.48118 | + | 22.8896i | 0.626534 | + | 1.51259i | 0.843902 | + | 0.536497i | \(0.180253\pi\) |
−0.217368 | + | 0.976090i | \(0.569747\pi\) | |||||||
\(230\) | 6.64829 | + | 8.81650i | 0.438375 | + | 0.581343i | ||||
\(231\) | 0.583935 | − | 0.583935i | 0.0384201 | − | 0.0384201i | ||||
\(232\) | −11.0963 | − | 9.32393i | −0.728509 | − | 0.612146i | ||||
\(233\) | 7.39110 | − | 7.39110i | 0.484207 | − | 0.484207i | −0.422265 | − | 0.906472i | \(-0.638765\pi\) |
0.906472 | + | 0.422265i | \(0.138765\pi\) | |||||||
\(234\) | 5.63945 | − | 5.97472i | 0.368662 | − | 0.390580i | ||||
\(235\) | −20.9459 | − | 13.1570i | −1.36636 | − | 0.858266i | ||||
\(236\) | 21.1134 | + | 7.34954i | 1.37436 | + | 0.478414i | ||||
\(237\) | 2.82938 | + | 1.17197i | 0.183788 | + | 0.0761275i | ||||
\(238\) | 0.725261 | − | 1.90461i | 0.0470117 | − | 0.123457i | ||||
\(239\) | 9.75748i | 0.631159i | 0.948899 | + | 0.315579i | \(0.102199\pi\) | ||||
−0.948899 | + | 0.315579i | \(0.897801\pi\) | |||||||
\(240\) | 3.83923 | + | 4.26695i | 0.247821 | + | 0.275431i | ||||
\(241\) | 2.34142i | 0.150824i | 0.997152 | + | 0.0754120i | \(0.0240272\pi\) | ||||
−0.997152 | + | 0.0754120i | \(0.975973\pi\) | |||||||
\(242\) | 10.2005 | + | 3.88427i | 0.655712 | + | 0.249690i | ||||
\(243\) | −13.1786 | − | 5.45874i | −0.845406 | − | 0.350179i | ||||
\(244\) | 13.1684 | − | 6.36785i | 0.843020 | − | 0.407660i | ||||
\(245\) | 7.72558 | − | 12.2992i | 0.493569 | − | 0.785764i | ||||
\(246\) | 4.70619 | + | 4.44210i | 0.300056 | + | 0.283218i | ||||
\(247\) | 7.35175 | − | 7.35175i | 0.467781 | − | 0.467781i | ||||
\(248\) | −2.31083 | − | 0.730348i | −0.146738 | − | 0.0463772i | ||||
\(249\) | −5.94513 | + | 5.94513i | −0.376758 | + | 0.376758i | ||||
\(250\) | 15.0587 | − | 4.82030i | 0.952396 | − | 0.304863i | ||||
\(251\) | 3.85766 | + | 9.31321i | 0.243493 | + | 0.587844i | 0.997625 | − | 0.0688785i | \(-0.0219421\pi\) |
−0.754132 | + | 0.656723i | \(0.771942\pi\) | |||||||
\(252\) | 2.74559 | + | 2.44563i | 0.172956 | + | 0.154060i | ||||
\(253\) | −2.42080 | + | 5.84434i | −0.152195 | + | 0.367430i | ||||
\(254\) | −11.6710 | + | 5.23376i | −0.732301 | + | 0.328395i | ||||
\(255\) | 2.37408 | − | 1.68502i | 0.148671 | − | 0.105520i | ||||
\(256\) | −15.5755 | + | 3.66129i | −0.973466 | + | 0.228831i | ||||
\(257\) | − | 15.5892i | − | 0.972429i | −0.873839 | − | 0.486215i | \(-0.838377\pi\) | ||
0.873839 | − | 0.486215i | \(-0.161623\pi\) | |||||||
\(258\) | 1.65354 | + | 3.68729i | 0.102945 | + | 0.229561i | ||||
\(259\) | −2.00097 | − | 0.828828i | −0.124334 | − | 0.0515009i | ||||
\(260\) | −9.97718 | − | 1.10634i | −0.618759 | − | 0.0686120i | ||||
\(261\) | −5.07531 | − | 12.2529i | −0.314154 | − | 0.758435i | ||||
\(262\) | −0.666211 | − | 23.0782i | −0.0411586 | − | 1.42578i | ||||
\(263\) | 0.610694 | + | 0.610694i | 0.0376570 | + | 0.0376570i | 0.725685 | − | 0.688028i | \(-0.241523\pi\) |
−0.688028 | + | 0.725685i | \(0.741523\pi\) | |||||||
\(264\) | −0.990962 | + | 3.13541i | −0.0609895 | + | 0.192971i | ||||
\(265\) | 5.10342 | − | 30.0630i | 0.313501 | − | 1.84676i | ||||
\(266\) | 3.38371 | + | 3.19383i | 0.207469 | + | 0.195826i | ||||
\(267\) | 1.56027 | + | 3.76683i | 0.0954871 | + | 0.230526i | ||||
\(268\) | 11.8538 | + | 24.5130i | 0.724084 | + | 1.49737i | ||||
\(269\) | −2.14408 | + | 5.17628i | −0.130727 | + | 0.315603i | −0.975667 | − | 0.219258i | \(-0.929636\pi\) |
0.844940 | + | 0.534862i | \(0.179636\pi\) | |||||||
\(270\) | 2.84306 | + | 10.9783i | 0.173023 | + | 0.668116i | ||||
\(271\) | − | 23.4133i | − | 1.42226i | −0.703061 | − | 0.711129i | \(-0.748184\pi\) | ||
0.703061 | − | 0.711129i | \(-0.251816\pi\) | |||||||
\(272\) | 0.934722 | + | 8.06117i | 0.0566758 | + | 0.488780i | ||||
\(273\) | 1.02320 | 0.0619271 | ||||||||
\(274\) | 8.60236 | + | 3.27572i | 0.519688 | + | 0.197893i | ||||
\(275\) | 6.75581 | + | 6.03383i | 0.407390 | + | 0.363854i | ||||
\(276\) | 4.23262 | + | 1.47337i | 0.254774 | + | 0.0886865i | ||||
\(277\) | 7.93812 | + | 19.1643i | 0.476956 | + | 1.15147i | 0.961030 | + | 0.276446i | \(0.0891566\pi\) |
−0.484074 | + | 0.875027i | \(0.660843\pi\) | |||||||
\(278\) | 9.72658 | + | 9.18077i | 0.583361 | + | 0.550626i | ||||
\(279\) | −1.56810 | − | 1.56810i | −0.0938798 | − | 0.0938798i | ||||
\(280\) | 0.366071 | − | 4.47753i | 0.0218769 | − | 0.267584i | ||||
\(281\) | −15.2603 | + | 15.2603i | −0.910350 | + | 0.910350i | −0.996300 | − | 0.0859493i | \(-0.972608\pi\) |
0.0859493 | + | 0.996300i | \(0.472608\pi\) | |||||||
\(282\) | −10.0352 | + | 0.289693i | −0.597589 | + | 0.0172509i | ||||
\(283\) | 4.67729 | − | 1.93740i | 0.278036 | − | 0.115166i | −0.239308 | − | 0.970944i | \(-0.576921\pi\) |
0.517344 | + | 0.855777i | \(0.326921\pi\) | |||||||
\(284\) | −1.76703 | − | 30.5804i | −0.104854 | − | 1.81461i | ||||
\(285\) | 1.47996 | + | 6.47981i | 0.0876655 | + | 0.383831i | ||||
\(286\) | −2.35312 | − | 5.24730i | −0.139143 | − | 0.310279i | ||||
\(287\) | − | 5.06508i | − | 0.298983i | ||||||
\(288\) | −14.1915 | − | 3.59953i | −0.836243 | − | 0.212104i | ||||
\(289\) | −12.8840 | −0.757882 | ||||||||
\(290\) | −8.21969 | + | 13.9648i | −0.482677 | + | 0.820044i | ||||
\(291\) | −0.602040 | − | 0.249373i | −0.0352922 | − | 0.0146185i | ||||
\(292\) | 0.936831 | + | 16.2129i | 0.0548239 | + | 0.948785i | ||||
\(293\) | 7.00218 | − | 2.90040i | 0.409072 | − | 0.169443i | −0.168651 | − | 0.985676i | \(-0.553941\pi\) |
0.577723 | + | 0.816233i | \(0.303941\pi\) | |||||||
\(294\) | −0.170103 | − | 5.89254i | −0.00992062 | − | 0.343660i | ||||
\(295\) | 4.18320 | − | 24.6422i | 0.243555 | − | 1.43473i | ||||
\(296\) | 8.59180 | − | 0.745730i | 0.499388 | − | 0.0433447i | ||||
\(297\) | −4.59387 | + | 4.59387i | −0.266563 | + | 0.266563i | ||||
\(298\) | −6.19384 | − | 5.84627i | −0.358799 | − | 0.338665i | ||||
\(299\) | −7.24132 | + | 2.99945i | −0.418777 | + | 0.173463i | ||||
\(300\) | 3.99160 | − | 5.02497i | 0.230455 | − | 0.290117i | ||||
\(301\) | 1.21037 | − | 2.92209i | 0.0697644 | − | 0.168426i | ||||
\(302\) | −0.455336 | + | 1.19576i | −0.0262016 | + | 0.0688081i | ||||
\(303\) | 4.55018 | 0.261401 | ||||||||
\(304\) | −17.8200 | − | 5.07142i | −1.02205 | − | 0.290866i | ||||
\(305\) | −9.46538 | − | 13.3361i | −0.541986 | − | 0.763623i | ||||
\(306\) | −2.64260 | + | 6.93973i | −0.151067 | + | 0.396718i | ||||
\(307\) | −25.8284 | − | 10.6985i | −1.47410 | − | 0.610594i | −0.506313 | − | 0.862350i | \(-0.668992\pi\) |
−0.967791 | + | 0.251756i | \(0.918992\pi\) | |||||||
\(308\) | 2.31697 | − | 1.12042i | 0.132021 | − | 0.0638417i | ||||
\(309\) | −7.10235 | + | 2.94189i | −0.404039 | + | 0.167358i | ||||
\(310\) | −0.376207 | + | 2.68330i | −0.0213671 | + | 0.152401i | ||||
\(311\) | −16.7678 | − | 16.7678i | −0.950815 | − | 0.950815i | 0.0480311 | − | 0.998846i | \(-0.484705\pi\) |
−0.998846 | + | 0.0480311i | \(0.984705\pi\) | |||||||
\(312\) | −3.61523 | + | 1.87881i | −0.204672 | + | 0.106367i | ||||
\(313\) | 0.669162 | + | 0.669162i | 0.0378233 | + | 0.0378233i | 0.725765 | − | 0.687942i | \(-0.241486\pi\) |
−0.687942 | + | 0.725765i | \(0.741486\pi\) | |||||||
\(314\) | 10.2151 | − | 0.294885i | 0.576472 | − | 0.0166413i | ||||
\(315\) | 2.18661 | − | 3.48108i | 0.123201 | − | 0.196137i | ||||
\(316\) | 7.12696 | + | 6.34831i | 0.400923 | + | 0.357120i | ||||
\(317\) | 6.17935 | − | 14.9183i | 0.347067 | − | 0.837893i | −0.649897 | − | 0.760023i | \(-0.725188\pi\) |
0.996963 | − | 0.0778707i | \(-0.0248121\pi\) | |||||||
\(318\) | −5.06418 | − | 11.2928i | −0.283985 | − | 0.633269i | ||||
\(319\) | −9.28314 | −0.519756 | ||||||||
\(320\) | 6.92824 | + | 16.4924i | 0.387301 | + | 0.921954i | ||||
\(321\) | −6.41766 | −0.358199 | ||||||||
\(322\) | −1.43530 | − | 3.20064i | −0.0799864 | − | 0.178365i | ||||
\(323\) | −3.59614 | + | 8.68186i | −0.200095 | + | 0.483072i | ||||
\(324\) | −8.15884 | − | 7.26746i | −0.453269 | − | 0.403748i | ||||
\(325\) | 0.632543 | + | 11.2054i | 0.0350872 | + | 0.621562i | ||||
\(326\) | 4.67112 | − | 0.134844i | 0.258709 | − | 0.00746830i | ||||
\(327\) | −0.0180116 | − | 0.0180116i | −0.000996045 | − | 0.000996045i | ||||
\(328\) | 9.30052 | + | 17.8962i | 0.513536 | + | 0.988152i | ||||
\(329\) | 5.55615 | + | 5.55615i | 0.306320 | + | 0.306320i | ||||
\(330\) | 3.64080 | + | 0.510451i | 0.200420 | + | 0.0280994i | ||||
\(331\) | 3.63950 | − | 1.50753i | 0.200045 | − | 0.0828614i | −0.280412 | − | 0.959880i | \(-0.590471\pi\) |
0.480457 | + | 0.877018i | \(0.340471\pi\) | |||||||
\(332\) | −23.5894 | + | 11.4072i | −1.29464 | + | 0.626049i | ||||
\(333\) | 7.29083 | + | 3.01996i | 0.399535 | + | 0.165493i | ||||
\(334\) | 11.8692 | − | 31.1696i | 0.649452 | − | 1.70553i | ||||
\(335\) | 24.8252 | − | 17.6198i | 1.35634 | − | 0.962674i | ||||
\(336\) | −0.887163 | − | 1.59299i | −0.0483987 | − | 0.0869050i | ||||
\(337\) | 28.7667 | 1.56702 | 0.783511 | − | 0.621378i | \(-0.213427\pi\) | ||||
0.783511 | + | 0.621378i | \(0.213427\pi\) | |||||||
\(338\) | −4.00682 | + | 10.5223i | −0.217942 | + | 0.572339i | ||||
\(339\) | 4.39432 | − | 10.6088i | 0.238667 | − | 0.576193i | ||||
\(340\) | 8.71400 | − | 2.52712i | 0.472583 | − | 0.137052i | ||||
\(341\) | −1.43409 | + | 0.594019i | −0.0776603 | + | 0.0321680i | ||||
\(342\) | −12.3291 | − | 11.6372i | −0.666680 | − | 0.629269i | ||||
\(343\) | −6.77841 | + | 6.77841i | −0.366000 | + | 0.366000i | ||||
\(344\) | 1.08902 | + | 12.5469i | 0.0587159 | + | 0.676485i | ||||
\(345\) | 0.838611 | − | 4.94006i | 0.0451493 | − | 0.265964i | ||||
\(346\) | 0.301398 | + | 10.4407i | 0.0162033 | + | 0.561297i | ||||
\(347\) | −24.0857 | + | 9.97664i | −1.29299 | + | 0.535574i | −0.919875 | − | 0.392211i | \(-0.871710\pi\) |
−0.373115 | + | 0.927785i | \(0.621710\pi\) | |||||||
\(348\) | 0.379401 | + | 6.56594i | 0.0203381 | + | 0.351971i | ||||
\(349\) | 14.9642 | + | 6.19839i | 0.801017 | + | 0.331792i | 0.745364 | − | 0.666658i | \(-0.232276\pi\) |
0.0556535 | + | 0.998450i | \(0.482276\pi\) | |||||||
\(350\) | −5.00450 | + | 0.427669i | −0.267502 | + | 0.0228599i | ||||
\(351\) | −8.04963 | −0.429658 | ||||||||
\(352\) | −6.12910 | + | 8.21313i | −0.326682 | + | 0.437762i | ||||
\(353\) | − | 9.97151i | − | 0.530730i | −0.964148 | − | 0.265365i | \(-0.914508\pi\) | ||
0.964148 | − | 0.265365i | \(-0.0854924\pi\) | |||||||
\(354\) | −4.15104 | − | 9.25655i | −0.220625 | − | 0.491980i | ||||
\(355\) | −33.3872 | + | 7.62551i | −1.77201 | + | 0.404720i | ||||
\(356\) | 0.733008 | + | 12.6855i | 0.0388494 | + | 0.672329i | ||||
\(357\) | −0.854416 | + | 0.353911i | −0.0452205 | + | 0.0187309i | ||||
\(358\) | 27.5722 | − | 0.795942i | 1.45724 | − | 0.0420668i | ||||
\(359\) | −4.65497 | + | 4.65497i | −0.245680 | + | 0.245680i | −0.819195 | − | 0.573515i | \(-0.805579\pi\) |
0.573515 | + | 0.819195i | \(0.305579\pi\) | |||||||
\(360\) | −1.33384 | + | 16.3146i | −0.0702993 | + | 0.859854i | ||||
\(361\) | −1.73559 | − | 1.73559i | −0.0913467 | − | 0.0913467i | ||||
\(362\) | −13.5112 | − | 12.7530i | −0.710134 | − | 0.670285i | ||||
\(363\) | −1.89544 | − | 4.57599i | −0.0994846 | − | 0.240177i | ||||
\(364\) | 3.01159 | + | 1.04833i | 0.157850 | + | 0.0549475i | ||||
\(365\) | 17.7009 | − | 4.04283i | 0.926510 | − | 0.211611i | ||||
\(366\) | −6.20303 | − | 2.36207i | −0.324238 | − | 0.123467i | ||||
\(367\) | −14.2125 | −0.741886 | −0.370943 | − | 0.928656i | \(-0.620965\pi\) | ||||
−0.370943 | + | 0.928656i | \(0.620965\pi\) | |||||||
\(368\) | 10.9483 | + | 8.67313i | 0.570720 | + | 0.452118i | ||||
\(369\) | 18.4554i | 0.960750i | ||||||||
\(370\) | −2.41727 | − | 9.33412i | −0.125668 | − | 0.485258i | ||||
\(371\) | −3.70691 | + | 8.94927i | −0.192453 | + | 0.464623i | ||||
\(372\) | 0.478760 | + | 0.990051i | 0.0248225 | + | 0.0513317i | ||||
\(373\) | 5.09201 | + | 12.2932i | 0.263655 | + | 0.636518i | 0.999159 | − | 0.0410014i | \(-0.0130548\pi\) |
−0.735505 | + | 0.677520i | \(0.763055\pi\) | |||||||
\(374\) | 3.77990 | + | 3.56779i | 0.195454 | + | 0.184486i | ||||
\(375\) | −6.28114 | − | 3.46789i | −0.324357 | − | 0.179081i | ||||
\(376\) | −29.8334 | − | 9.42902i | −1.53854 | − | 0.486264i | ||||
\(377\) | −8.13322 | − | 8.13322i | −0.418882 | − | 0.418882i | ||||
\(378\) | −0.103951 | − | 3.60097i | −0.00534667 | − | 0.185214i | ||||
\(379\) | 6.23491 | + | 15.0524i | 0.320266 | + | 0.773190i | 0.999238 | + | 0.0390263i | \(0.0124256\pi\) |
−0.678972 | + | 0.734164i | \(0.737574\pi\) | |||||||
\(380\) | −2.28296 | + | 20.5883i | −0.117114 | + | 1.05616i | ||||
\(381\) | 5.36237 | + | 2.22117i | 0.274723 | + | 0.113794i | ||||
\(382\) | 7.46479 | + | 16.6460i | 0.381932 | + | 0.851683i | ||||
\(383\) | − | 11.4676i | − | 0.585967i | −0.956117 | − | 0.292984i | \(-0.905352\pi\) | ||
0.956117 | − | 0.292984i | \(-0.0946481\pi\) | |||||||
\(384\) | 6.05963 | + | 3.99943i | 0.309229 | + | 0.204095i | ||||
\(385\) | −1.66543 | − | 2.34648i | −0.0848780 | − | 0.119588i | ||||
\(386\) | −6.90176 | + | 3.09505i | −0.351291 | + | 0.157534i | ||||
\(387\) | −4.41016 | + | 10.6471i | −0.224181 | + | 0.541221i | ||||
\(388\) | −1.51648 | − | 1.35080i | −0.0769878 | − | 0.0685767i | ||||
\(389\) | 2.64514 | + | 6.38594i | 0.134114 | + | 0.323780i | 0.976642 | − | 0.214872i | \(-0.0689336\pi\) |
−0.842528 | + | 0.538653i | \(0.818934\pi\) | |||||||
\(390\) | 2.74259 | + | 3.63703i | 0.138876 | + | 0.184168i | ||||
\(391\) | 5.00932 | − | 5.00932i | 0.253332 | − | 0.253332i | ||||
\(392\) | 5.53658 | − | 17.5178i | 0.279640 | − | 0.884781i | ||||
\(393\) | −7.40820 | + | 7.40820i | −0.373694 | + | 0.373694i | ||||
\(394\) | −1.67760 | − | 1.58346i | −0.0845161 | − | 0.0797734i | ||||
\(395\) | 5.67595 | − | 9.03614i | 0.285588 | − | 0.454657i | ||||
\(396\) | −8.44222 | + | 4.08241i | −0.424238 | + | 0.205149i | ||||
\(397\) | −31.5582 | − | 13.0718i | −1.58386 | − | 0.656056i | −0.594840 | − | 0.803844i | \(-0.702785\pi\) |
−0.989019 | + | 0.147788i | \(0.952785\pi\) | |||||||
\(398\) | −20.0462 | − | 7.63344i | −1.00482 | − | 0.382630i | ||||
\(399\) | − | 2.11142i | − | 0.105703i | ||||||
\(400\) | 16.8968 | − | 10.7003i | 0.844842 | − | 0.535017i | ||||
\(401\) | 28.0739i | 1.40195i | 0.713188 | + | 0.700973i | \(0.247251\pi\) | ||||
−0.713188 | + | 0.700973i | \(0.752749\pi\) | |||||||
\(402\) | 4.39700 | − | 11.5470i | 0.219302 | − | 0.575910i | ||||
\(403\) | −1.77688 | − | 0.736009i | −0.0885129 | − | 0.0366632i | ||||
\(404\) | 13.3925 | + | 4.66191i | 0.666302 | + | 0.231939i | ||||
\(405\) | −6.49775 | + | 10.3444i | −0.322876 | + | 0.514020i | ||||
\(406\) | 3.53333 | − | 3.74339i | 0.175356 | − | 0.185781i | ||||
\(407\) | 3.90587 | − | 3.90587i | 0.193607 | − | 0.193607i | ||||
\(408\) | 2.36901 | − | 2.81933i | 0.117283 | − | 0.139578i | ||||
\(409\) | 5.70294 | − | 5.70294i | 0.281992 | − | 0.281992i | −0.551911 | − | 0.833903i | \(-0.686101\pi\) |
0.833903 | + | 0.551911i | \(0.186101\pi\) | |||||||
\(410\) | 18.0041 | − | 13.5764i | 0.889159 | − | 0.670491i | ||||
\(411\) | −1.59847 | − | 3.85906i | −0.0788469 | − | 0.190353i | ||||
\(412\) | −23.9184 | + | 1.38209i | −1.17838 | + | 0.0680904i | ||||
\(413\) | −3.03850 | + | 7.33559i | −0.149515 | + | 0.360961i | ||||
\(414\) | 5.22975 | + | 11.6620i | 0.257028 | + | 0.573157i | ||||
\(415\) | 16.9560 | + | 23.8898i | 0.832335 | + | 1.17271i | ||||
\(416\) | −12.5656 | + | 1.82588i | −0.616081 | + | 0.0895212i | ||||
\(417\) | − | 6.06934i | − | 0.297217i | ||||||
\(418\) | −10.8280 | + | 4.85574i | −0.529615 | + | 0.237502i | ||||
\(419\) | −8.85002 | − | 3.66580i | −0.432352 | − | 0.179086i | 0.155884 | − | 0.987775i | \(-0.450177\pi\) |
−0.588236 | + | 0.808689i | \(0.700177\pi\) | |||||||
\(420\) | −1.59159 | + | 1.27385i | −0.0776617 | + | 0.0621576i | ||||
\(421\) | −4.55395 | − | 10.9942i | −0.221946 | − | 0.535825i | 0.773208 | − | 0.634152i | \(-0.218651\pi\) |
−0.995154 | + | 0.0983274i | \(0.968651\pi\) | |||||||
\(422\) | −14.1117 | + | 0.407370i | −0.686947 | + | 0.0198305i | ||||
\(423\) | −20.2447 | − | 20.2447i | −0.984330 | − | 0.984330i | ||||
\(424\) | −3.33526 | − | 38.4266i | −0.161974 | − | 1.86616i | ||||
\(425\) | −4.40396 | − | 9.13813i | −0.213623 | − | 0.443264i | ||||
\(426\) | −9.54102 | + | 10.1082i | −0.462264 | + | 0.489746i | ||||
\(427\) | 1.98805 | + | 4.79958i | 0.0962085 | + | 0.232268i | ||||
\(428\) | −18.8891 | − | 6.57526i | −0.913037 | − | 0.317827i | ||||
\(429\) | −0.998643 | + | 2.41094i | −0.0482149 | + | 0.116401i | ||||
\(430\) | 13.6310 | − | 3.53003i | 0.657343 | − | 0.170233i | ||||
\(431\) | 33.7928i | 1.62774i | 0.581047 | + | 0.813870i | \(0.302643\pi\) | ||||
−0.581047 | + | 0.813870i | \(0.697357\pi\) | |||||||
\(432\) | 6.97939 | + | 12.5322i | 0.335796 | + | 0.602957i | ||||
\(433\) | 25.3512 | 1.21830 | 0.609151 | − | 0.793054i | \(-0.291510\pi\) | ||||
0.609151 | + | 0.793054i | \(0.291510\pi\) | |||||||
\(434\) | 0.306304 | − | 0.804385i | 0.0147031 | − | 0.0386117i | ||||
\(435\) | 7.16859 | − | 1.63728i | 0.343708 | − | 0.0785016i | ||||
\(436\) | −0.0345596 | − | 0.0714674i | −0.00165510 | − | 0.00342267i | ||||
\(437\) | 6.18949 | + | 14.9427i | 0.296083 | + | 0.714808i | ||||
\(438\) | 5.05837 | − | 5.35910i | 0.241698 | − | 0.256068i | ||||
\(439\) | 12.8961 | + | 12.8961i | 0.615498 | + | 0.615498i | 0.944373 | − | 0.328875i | \(-0.106670\pi\) |
−0.328875 | + | 0.944373i | \(0.606670\pi\) | |||||||
\(440\) | 10.1930 | + | 5.23262i | 0.485931 | + | 0.249455i | ||||
\(441\) | 11.8874 | − | 11.8874i | 0.566066 | − | 0.566066i | ||||
\(442\) | 0.185836 | + | 6.43753i | 0.00883930 | + | 0.306202i | ||||
\(443\) | 7.61662 | − | 3.15491i | 0.361876 | − | 0.149894i | −0.194334 | − | 0.980935i | \(-0.562255\pi\) |
0.556211 | + | 0.831041i | \(0.312255\pi\) | |||||||
\(444\) | −2.92225 | − | 2.60298i | −0.138684 | − | 0.123532i | ||||
\(445\) | 13.8498 | − | 3.16325i | 0.656544 | − | 0.149952i | ||||
\(446\) | 23.0559 | − | 10.3393i | 1.09173 | − | 0.489579i | ||||
\(447\) | 3.86493i | 0.182805i | ||||||||
\(448\) | −0.979070 | − | 5.59760i | −0.0462567 | − | 0.264462i | ||||
\(449\) | 13.9213 | 0.656989 | 0.328494 | − | 0.944506i | \(-0.393459\pi\) | ||||
0.328494 | + | 0.944506i | \(0.393459\pi\) | |||||||
\(450\) | 18.2346 | − | 1.55828i | 0.859590 | − | 0.0734578i | ||||
\(451\) | 11.9347 | + | 4.94350i | 0.561982 | + | 0.232780i | ||||
\(452\) | 23.8031 | − | 26.7227i | 1.11961 | − | 1.25693i | ||||
\(453\) | 0.536423 | − | 0.222194i | 0.0252033 | − | 0.0104396i | ||||
\(454\) | −23.0531 | + | 0.665488i | −1.08194 | + | 0.0312329i | ||||
\(455\) | 0.596687 | − | 3.51494i | 0.0279731 | − | 0.164783i | ||||
\(456\) | 3.87700 | + | 7.46017i | 0.181557 | + | 0.349354i | ||||
\(457\) | −28.8382 | + | 28.8382i | −1.34899 | + | 1.34899i | −0.462236 | + | 0.886757i | \(0.652953\pi\) |
−0.886757 | + | 0.462236i | \(0.847047\pi\) | |||||||
\(458\) | 24.0503 | − | 25.4801i | 1.12380 | − | 1.19061i | ||||
\(459\) | 6.72176 | − | 2.78424i | 0.313745 | − | 0.129957i | ||||
\(460\) | 7.52965 | − | 13.6808i | 0.351072 | − | 0.637872i | ||||
\(461\) | 9.32827 | − | 22.5204i | 0.434461 | − | 1.04888i | −0.543371 | − | 0.839492i | \(-0.682852\pi\) |
0.977832 | − | 0.209389i | \(-0.0671475\pi\) | |||||||
\(462\) | −1.09142 | − | 0.415604i | −0.0507774 | − | 0.0193357i | ||||
\(463\) | 17.1677 | 0.797853 | 0.398926 | − | 0.916983i | \(-0.369383\pi\) | ||||
0.398926 | + | 0.916983i | \(0.369383\pi\) | |||||||
\(464\) | −5.61049 | + | 19.7142i | −0.260461 | + | 0.915210i | ||||
\(465\) | 1.00266 | − | 0.711644i | 0.0464972 | − | 0.0330017i | ||||
\(466\) | −13.8145 | − | 5.26047i | −0.639946 | − | 0.243687i | ||||
\(467\) | 15.5078 | + | 6.42354i | 0.717615 | + | 0.297246i | 0.711452 | − | 0.702735i | \(-0.248038\pi\) |
0.00616357 | + | 0.999981i | \(0.498038\pi\) | |||||||
\(468\) | −10.9732 | − | 3.81975i | −0.507236 | − | 0.176568i | ||||
\(469\) | −8.93443 | + | 3.70076i | −0.412554 | + | 0.170885i | ||||
\(470\) | −4.85694 | + | 34.6423i | −0.224034 | + | 1.59793i | ||||
\(471\) | −3.27909 | − | 3.27909i | −0.151093 | − | 0.151093i | ||||
\(472\) | −2.73386 | − | 31.4977i | −0.125836 | − | 1.44980i | ||||
\(473\) | 5.70389 | + | 5.70389i | 0.262265 | + | 0.262265i | ||||
\(474\) | −0.124974 | − | 4.32923i | −0.00574025 | − | 0.198848i | ||||
\(475\) | 23.1227 | − | 1.30528i | 1.06094 | − | 0.0598902i | ||||
\(476\) | −2.87740 | + | 0.166265i | −0.131885 | + | 0.00762076i | ||||
\(477\) | 13.5067 | − | 32.6080i | 0.618428 | − | 1.49302i | ||||
\(478\) | 12.5911 | − | 5.64638i | 0.575902 | − | 0.258260i | ||||
\(479\) | 23.9560 | 1.09458 | 0.547289 | − | 0.836944i | \(-0.315660\pi\) | ||||
0.547289 | + | 0.836944i | \(0.315660\pi\) | |||||||
\(480\) | 3.28443 | − | 7.42332i | 0.149913 | − | 0.338827i | ||||
\(481\) | 6.84409 | 0.312064 | ||||||||
\(482\) | 3.02137 | − | 1.35491i | 0.137620 | − | 0.0617146i | ||||
\(483\) | −0.609132 | + | 1.47057i | −0.0277165 | + | 0.0669134i | ||||
\(484\) | −0.890466 | − | 15.4105i | −0.0404757 | − | 0.700475i | ||||
\(485\) | −1.20774 | + | 1.92272i | −0.0548405 | + | 0.0873064i | ||||
\(486\) | 0.582099 | + | 20.1645i | 0.0264046 | + | 0.914680i | ||||
\(487\) | 0.772205 | + | 0.772205i | 0.0349919 | + | 0.0349919i | 0.724386 | − | 0.689394i | \(-0.242123\pi\) |
−0.689394 | + | 0.724386i | \(0.742123\pi\) | |||||||
\(488\) | −15.8373 | − | 13.3076i | −0.716919 | − | 0.602408i | ||||
\(489\) | −1.49945 | − | 1.49945i | −0.0678075 | − | 0.0678075i | ||||
\(490\) | −20.3414 | − | 2.85193i | −0.918933 | − | 0.128837i | ||||
\(491\) | 16.8569 | − | 6.98234i | 0.760740 | − | 0.315109i | 0.0316245 | − | 0.999500i | \(-0.489932\pi\) |
0.729115 | + | 0.684391i | \(0.239932\pi\) | |||||||
\(492\) | 3.00876 | − | 8.64341i | 0.135645 | − | 0.389675i | ||||
\(493\) | 9.60471 | + | 3.97840i | 0.432575 | + | 0.179178i | ||||
\(494\) | −13.7410 | − | 5.23246i | −0.618236 | − | 0.235420i | ||||
\(495\) | 6.06823 | + | 8.54974i | 0.272747 | + | 0.384282i | ||||
\(496\) | 0.394767 | + | 3.40453i | 0.0177256 | + | 0.152868i | ||||
\(497\) | 10.8791 | 0.487994 | ||||||||
\(498\) | 11.1119 | + | 4.23133i | 0.497936 | + | 0.189610i | ||||
\(499\) | −9.43633 | + | 22.7813i | −0.422428 | + | 1.01983i | 0.559201 | + | 0.829032i | \(0.311108\pi\) |
−0.981629 | + | 0.190800i | \(0.938892\pi\) | |||||||
\(500\) | −14.9342 | − | 16.6424i | −0.667877 | − | 0.744271i | ||||
\(501\) | −13.9828 | + | 5.79188i | −0.624707 | + | 0.258762i | ||||
\(502\) | 9.78547 | − | 10.3672i | 0.436747 | − | 0.462712i | ||||
\(503\) | 0.404662 | − | 0.404662i | 0.0180430 | − | 0.0180430i | −0.698028 | − | 0.716071i | \(-0.745939\pi\) |
0.716071 | + | 0.698028i | \(0.245939\pi\) | |||||||
\(504\) | 1.56704 | − | 4.95813i | 0.0698017 | − | 0.220853i | ||||
\(505\) | 2.65346 | − | 15.6309i | 0.118077 | − | 0.695566i | ||||
\(506\) | 8.94240 | − | 0.258145i | 0.397538 | − | 0.0114759i | ||||
\(507\) | 4.72036 | − | 1.95524i | 0.209639 | − | 0.0868352i | ||||
\(508\) | 13.5073 | + | 12.0316i | 0.599290 | + | 0.533816i | ||||
\(509\) | −2.65667 | − | 1.10043i | −0.117755 | − | 0.0487756i | 0.323028 | − | 0.946389i | \(-0.395299\pi\) |
−0.440783 | + | 0.897614i | \(0.645299\pi\) | |||||||
\(510\) | −3.54816 | − | 2.08844i | −0.157115 | − | 0.0924778i | ||||
\(511\) | −5.76778 | −0.255152 | ||||||||
\(512\) | 13.7376 | + | 17.9799i | 0.607123 | + | 0.794608i | ||||
\(513\) | 16.6107i | 0.733381i | ||||||||
\(514\) | −20.1164 | + | 9.02105i | −0.887295 | + | 0.397902i | ||||
\(515\) | 5.96429 | + | 26.1138i | 0.262818 | + | 1.15071i | ||||
\(516\) | 3.80123 | − | 4.26746i | 0.167340 | − | 0.187865i | ||||
\(517\) | −18.5145 | + | 7.66897i | −0.814268 | + | 0.337281i | ||||
\(518\) | 0.0883830 | + | 3.06167i | 0.00388332 | + | 0.134522i | ||||
\(519\) | 3.35152 | − | 3.35152i | 0.147115 | − | 0.147115i | ||||
\(520\) | 4.34590 | + | 13.5148i | 0.190580 | + | 0.592663i | ||||
\(521\) | −2.93908 | − | 2.93908i | −0.128764 | − | 0.128764i | 0.639788 | − | 0.768552i | \(-0.279022\pi\) |
−0.768552 | + | 0.639788i | \(0.779022\pi\) | |||||||
\(522\) | −12.8742 | + | 13.6396i | −0.563489 | + | 0.596989i | ||||
\(523\) | −8.52201 | − | 20.5740i | −0.372642 | − | 0.899637i | −0.993301 | − | 0.115556i | \(-0.963135\pi\) |
0.620659 | − | 0.784080i | \(-0.286865\pi\) | |||||||
\(524\) | −29.3946 | + | 14.2144i | −1.28411 | + | 0.620959i | ||||
\(525\) | 1.69992 | + | 1.51825i | 0.0741906 | + | 0.0662621i | ||||
\(526\) | 0.434649 | − | 1.14143i | 0.0189516 | − | 0.0497688i | ||||
\(527\) | 1.73834 | 0.0757234 | ||||||||
\(528\) | 4.61938 | − | 0.535634i | 0.201033 | − | 0.0233105i | ||||
\(529\) | 10.8070i | 0.469868i | ||||||||
\(530\) | −41.7466 | + | 10.8112i | −1.81336 | + | 0.469607i | ||||
\(531\) | 11.0712 | − | 26.7283i | 0.480451 | − | 1.15991i | ||||
\(532\) | 2.16327 | − | 6.21453i | 0.0937897 | − | 0.269434i | ||||
\(533\) | 6.12516 | + | 14.7874i | 0.265310 | + | 0.640515i | ||||
\(534\) | 3.95784 | − | 4.19314i | 0.171273 | − | 0.181455i | ||||
\(535\) | −3.74249 | + | 22.0461i | −0.161802 | + | 0.953137i | ||||
\(536\) | 24.7722 | − | 29.4811i | 1.06999 | − | 1.27339i | ||||
\(537\) | −8.85080 | − | 8.85080i | −0.381940 | − | 0.381940i | ||||
\(538\) | 7.92020 | − | 0.228637i | 0.341464 | − | 0.00985723i | ||||
\(539\) | −4.50311 | − | 10.8715i | −0.193963 | − | 0.468267i | ||||
\(540\) | 12.5212 | − | 10.0215i | 0.538826 | − | 0.431257i | ||||
\(541\) | 13.7037 | + | 5.67627i | 0.589170 | + | 0.244042i | 0.657293 | − | 0.753635i | \(-0.271701\pi\) |
−0.0681237 | + | 0.997677i | \(0.521701\pi\) | |||||||
\(542\) | −30.2126 | + | 13.5486i | −1.29774 | + | 0.581964i | ||||
\(543\) | 8.43094i | 0.361806i | ||||||||
\(544\) | 9.86126 | − | 5.87094i | 0.422798 | − | 0.251715i | ||||
\(545\) | −0.0723776 | + | 0.0513705i | −0.00310032 | + | 0.00220047i | ||||
\(546\) | −0.592100 | − | 1.32034i | −0.0253395 | − | 0.0565055i | ||||
\(547\) | 12.1381 | − | 29.3041i | 0.518990 | − | 1.25295i | −0.419535 | − | 0.907739i | \(-0.637807\pi\) |
0.938524 | − | 0.345213i | \(-0.112193\pi\) | |||||||
\(548\) | −0.750955 | − | 12.9961i | −0.0320792 | − | 0.555165i | ||||
\(549\) | −7.24376 | − | 17.4880i | −0.309156 | − | 0.746369i | ||||
\(550\) | 3.87667 | − | 12.2093i | 0.165302 | − | 0.520607i | ||||
\(551\) | −16.7832 | + | 16.7832i | −0.714989 | + | 0.714989i | ||||
\(552\) | −0.548061 | − | 6.31439i | −0.0233270 | − | 0.268758i | ||||
\(553\) | −2.39694 | + | 2.39694i | −0.101928 | + | 0.101928i | ||||
\(554\) | 20.1361 | − | 21.3332i | 0.855502 | − | 0.906362i | ||||
\(555\) | −2.32730 | + | 3.70506i | −0.0987882 | + | 0.157271i | ||||
\(556\) | 6.21839 | − | 17.8639i | 0.263718 | − | 0.757596i | ||||
\(557\) | −37.5187 | − | 15.5408i | −1.58972 | − | 0.658484i | −0.599805 | − | 0.800146i | \(-0.704755\pi\) |
−0.989915 | + | 0.141662i | \(0.954755\pi\) | |||||||
\(558\) | −1.11607 | + | 2.93090i | −0.0472468 | + | 0.124075i | ||||
\(559\) | 9.99467i | 0.422730i | ||||||||
\(560\) | −5.98966 | + | 2.11865i | −0.253109 | + | 0.0895291i | ||||
\(561\) | − | 2.35864i | − | 0.0995820i | ||||||
\(562\) | 28.5225 | + | 10.8612i | 1.20315 | + | 0.458151i | ||||
\(563\) | 7.82620 | + | 3.24172i | 0.329835 | + | 0.136622i | 0.541455 | − | 0.840730i | \(-0.317874\pi\) |
−0.211620 | + | 0.977352i | \(0.567874\pi\) | |||||||
\(564\) | 6.18093 | + | 12.7819i | 0.260264 | + | 0.538213i | ||||
\(565\) | −33.8812 | − | 21.2821i | −1.42539 | − | 0.895345i | ||||
\(566\) | −5.20664 | − | 4.91447i | −0.218852 | − | 0.206571i | ||||
\(567\) | 2.74398 | − | 2.74398i | 0.115236 | − | 0.115236i | ||||
\(568\) | −38.4385 | + | 19.9762i | −1.61284 | + | 0.838183i | ||||
\(569\) | 12.3803 | − | 12.3803i | 0.519007 | − | 0.519007i | −0.398264 | − | 0.917271i | \(-0.630387\pi\) |
0.917271 | + | 0.398264i | \(0.130387\pi\) | |||||||
\(570\) | 7.50515 | − | 5.65944i | 0.314356 | − | 0.237048i | ||||
\(571\) | 5.36008 | + | 12.9404i | 0.224312 | + | 0.541538i | 0.995467 | − | 0.0951104i | \(-0.0303204\pi\) |
−0.771154 | + | 0.636648i | \(0.780320\pi\) | |||||||
\(572\) | −5.40944 | + | 6.07293i | −0.226180 | + | 0.253922i | ||||
\(573\) | 3.16799 | − | 7.64821i | 0.132345 | − | 0.319509i | ||||
\(574\) | −6.53600 | + | 2.93102i | −0.272807 | + | 0.122339i | ||||
\(575\) | −16.4812 | − | 5.76164i | −0.687313 | − | 0.240277i | ||||
\(576\) | 3.56739 | + | 20.3957i | 0.148641 | + | 0.849821i | ||||
\(577\) | 0.460727i | 0.0191803i | 0.999954 | + | 0.00959016i | \(0.00305269\pi\) | ||||
−0.999954 | + | 0.00959016i | \(0.996947\pi\) | |||||||
\(578\) | 7.45561 | + | 16.6255i | 0.310112 | + | 0.691531i | ||||
\(579\) | 3.17110 | + | 1.31351i | 0.131787 | + | 0.0545878i | ||||
\(580\) | 22.7768 | + | 2.52564i | 0.945754 | + | 0.104871i | ||||
\(581\) | −3.56133 | − | 8.59780i | −0.147749 | − | 0.356697i | ||||
\(582\) | 0.0265922 | + | 0.921180i | 0.00110228 | + | 0.0381841i | ||||
\(583\) | −17.4689 | − | 17.4689i | −0.723488 | − | 0.723488i | ||||
\(584\) | 20.3790 | − | 10.5908i | 0.843288 | − | 0.438251i | ||||
\(585\) | −2.17412 | + | 12.8072i | −0.0898889 | + | 0.529513i | ||||
\(586\) | −7.79465 | − | 7.35725i | −0.321994 | − | 0.303925i | ||||
\(587\) | 10.0340 | + | 24.2243i | 0.414149 | + | 0.999844i | 0.984012 | + | 0.178104i | \(0.0569964\pi\) |
−0.569863 | + | 0.821740i | \(0.693004\pi\) | |||||||
\(588\) | −7.50532 | + | 3.62935i | −0.309514 | + | 0.149672i | ||||
\(589\) | −1.51878 | + | 3.66667i | −0.0625804 | + | 0.151082i | ||||
\(590\) | −34.2191 | + | 8.86176i | −1.40878 | + | 0.364833i | ||||
\(591\) | 1.04681i | 0.0430601i | ||||||||
\(592\) | −5.93413 | − | 10.6554i | −0.243891 | − | 0.437932i | ||||
\(593\) | −17.7591 | −0.729279 | −0.364640 | − | 0.931149i | \(-0.618808\pi\) | ||||
−0.364640 | + | 0.931149i | \(0.618808\pi\) | |||||||
\(594\) | 8.58628 | + | 3.26959i | 0.352299 | + | 0.134153i | ||||
\(595\) | 0.717506 | + | 3.14150i | 0.0294149 | + | 0.128789i | ||||
\(596\) | −3.95984 | + | 11.3756i | −0.162201 | + | 0.465963i | ||||
\(597\) | 3.72494 | + | 8.99280i | 0.152452 | + | 0.368051i | ||||
\(598\) | 8.06086 | + | 7.60852i | 0.329633 | + | 0.311136i | ||||
\(599\) | −2.10331 | − | 2.10331i | −0.0859389 | − | 0.0859389i | 0.662831 | − | 0.748769i | \(-0.269355\pi\) |
−0.748769 | + | 0.662831i | \(0.769355\pi\) | |||||||
\(600\) | −8.79406 | − | 2.24297i | −0.359016 | − | 0.0915687i | ||||
\(601\) | 15.0864 | − | 15.0864i | 0.615387 | − | 0.615387i | −0.328958 | − | 0.944345i | \(-0.606697\pi\) |
0.944345 | + | 0.328958i | \(0.106697\pi\) | |||||||
\(602\) | −4.47107 | + | 0.129069i | −0.182227 | + | 0.00526045i | ||||
\(603\) | 32.5539 | − | 13.4843i | 1.32570 | − | 0.549123i | ||||
\(604\) | 1.80650 | − | 0.104385i | 0.0735054 | − | 0.00424738i | ||||
\(605\) | −16.8249 | + | 3.84274i | −0.684029 | + | 0.156230i | ||||
\(606\) | −2.63306 | − | 5.87156i | −0.106961 | − | 0.238516i | ||||
\(607\) | 21.4336i | 0.869962i | 0.900440 | + | 0.434981i | \(0.143245\pi\) | ||||
−0.900440 | + | 0.434981i | \(0.856755\pi\) | |||||||
\(608\) | 3.76778 | + | 25.9297i | 0.152804 | + | 1.05159i | ||||
\(609\) | −2.33586 | −0.0946537 | ||||||||
\(610\) | −11.7316 | + | 19.9314i | −0.474998 | + | 0.806998i | ||||
\(611\) | −22.9401 | − | 9.50210i | −0.928057 | − | 0.384414i | ||||
\(612\) | 10.4842 | − | 0.605813i | 0.423800 | − | 0.0244885i | ||||
\(613\) | −26.1252 | + | 10.8214i | −1.05519 | + | 0.437072i | −0.841740 | − | 0.539883i | \(-0.818469\pi\) |
−0.213446 | + | 0.976955i | \(0.568469\pi\) | |||||||
\(614\) | 1.14084 | + | 39.5199i | 0.0460407 | + | 1.59489i | ||||
\(615\) | −10.0880 | − | 1.71252i | −0.406789 | − | 0.0690555i | ||||
\(616\) | −2.78656 | − | 2.34147i | −0.112274 | − | 0.0943403i | ||||
\(617\) | −22.8655 | + | 22.8655i | −0.920530 | + | 0.920530i | −0.997067 | − | 0.0765371i | \(-0.975614\pi\) |
0.0765371 | + | 0.997067i | \(0.475614\pi\) | |||||||
\(618\) | 7.90616 | + | 7.46250i | 0.318032 | + | 0.300186i | ||||
\(619\) | −4.29399 | + | 1.77863i | −0.172590 | + | 0.0714891i | −0.467305 | − | 0.884096i | \(-0.654775\pi\) |
0.294715 | + | 0.955585i | \(0.404775\pi\) | |||||||
\(620\) | 3.68024 | − | 1.06730i | 0.147802 | − | 0.0428636i | ||||
\(621\) | 4.79209 | − | 11.5691i | 0.192300 | − | 0.464253i | ||||
\(622\) | −11.9341 | + | 31.3403i | −0.478516 | + | 1.25663i | ||||
\(623\) | −4.51291 | −0.180806 | ||||||||
\(624\) | 4.51646 | + | 3.57789i | 0.180803 | + | 0.143230i | ||||
\(625\) | −15.5759 | + | 19.5548i | −0.623036 | + | 0.782193i | ||||
\(626\) | 0.476262 | − | 1.25071i | 0.0190353 | − | 0.0499886i | ||||
\(627\) | 4.97506 | + | 2.06074i | 0.198685 | + | 0.0822980i | ||||
\(628\) | −6.29172 | − | 13.0110i | −0.251067 | − | 0.519194i | ||||
\(629\) | −5.71508 | + | 2.36727i | −0.227875 | + | 0.0943891i | ||||
\(630\) | −5.75733 | − | 0.807194i | −0.229377 | − | 0.0321594i | ||||
\(631\) | 12.4813 | + | 12.4813i | 0.496872 | + | 0.496872i | 0.910463 | − | 0.413591i | \(-0.135726\pi\) |
−0.413591 | + | 0.910463i | \(0.635726\pi\) | |||||||
\(632\) | 4.06771 | − | 12.8702i | 0.161805 | − | 0.511950i | ||||
\(633\) | 4.52992 | + | 4.52992i | 0.180048 | + | 0.180048i | ||||
\(634\) | −22.8264 | + | 0.658942i | −0.906551 | + | 0.0261699i | ||||
\(635\) | 10.7573 | − | 17.1257i | 0.426891 | − | 0.679612i | ||||
\(636\) | −11.6418 | + | 13.0697i | −0.461626 | + | 0.518246i | ||||
\(637\) | 5.57950 | − | 13.4701i | 0.221068 | − | 0.533705i | ||||
\(638\) | 5.37190 | + | 11.9790i | 0.212675 | + | 0.474253i | ||||
\(639\) | −39.6396 | −1.56812 | ||||||||
\(640\) | 17.2727 | − | 18.4839i | 0.682762 | − | 0.730641i | ||||
\(641\) | 12.7423 | 0.503292 | 0.251646 | − | 0.967819i | \(-0.419028\pi\) | ||||
0.251646 | + | 0.967819i | \(0.419028\pi\) | |||||||
\(642\) | 3.71372 | + | 8.28136i | 0.146569 | + | 0.326839i | ||||
\(643\) | −10.2578 | + | 24.7645i | −0.404529 | + | 0.976618i | 0.582024 | + | 0.813172i | \(0.302261\pi\) |
−0.986552 | + | 0.163446i | \(0.947739\pi\) | |||||||
\(644\) | −3.29954 | + | 3.70424i | −0.130020 | + | 0.145968i | ||||
\(645\) | −5.41064 | − | 3.39863i | −0.213044 | − | 0.133821i | ||||
\(646\) | 13.2841 | − | 0.383479i | 0.522655 | − | 0.0150878i | ||||
\(647\) | 17.9550 | + | 17.9550i | 0.705884 | + | 0.705884i | 0.965667 | − | 0.259783i | \(-0.0836510\pi\) |
−0.259783 | + | 0.965667i | \(0.583651\pi\) | |||||||
\(648\) | −4.65665 | + | 14.7337i | −0.182931 | + | 0.578793i | ||||
\(649\) | −14.3190 | − | 14.3190i | −0.562070 | − | 0.562070i | ||||
\(650\) | 14.0934 | − | 7.30047i | 0.552788 | − | 0.286348i | ||||
\(651\) | −0.360851 | + | 0.149469i | −0.0141429 | + | 0.00585817i | ||||
\(652\) | −2.87705 | − | 5.94959i | −0.112674 | − | 0.233004i | ||||
\(653\) | 10.0446 | + | 4.16062i | 0.393077 | + | 0.162818i | 0.570462 | − | 0.821324i | \(-0.306764\pi\) |
−0.177386 | + | 0.984141i | \(0.556764\pi\) | |||||||
\(654\) | −0.0128194 | + | 0.0336651i | −0.000501279 | + | 0.00131641i | ||||
\(655\) | 21.1287 | + | 29.7690i | 0.825568 | + | 1.16317i | ||||
\(656\) | 17.7113 | − | 22.3574i | 0.691511 | − | 0.872912i | ||||
\(657\) | 21.0158 | 0.819904 | ||||||||
\(658\) | 3.95448 | − | 10.3849i | 0.154162 | − | 0.404844i | ||||
\(659\) | 16.3572 | − | 39.4898i | 0.637187 | − | 1.53830i | −0.193225 | − | 0.981154i | \(-0.561895\pi\) |
0.830412 | − | 0.557150i | \(-0.188105\pi\) | |||||||
\(660\) | −1.44814 | − | 4.99348i | −0.0563689 | − | 0.194371i | ||||
\(661\) | −6.74148 | + | 2.79241i | −0.262213 | + | 0.108612i | −0.509917 | − | 0.860224i | \(-0.670324\pi\) |
0.247704 | + | 0.968836i | \(0.420324\pi\) | |||||||
\(662\) | −4.05140 | − | 3.82406i | −0.157462 | − | 0.148626i | ||||
\(663\) | 2.06647 | − | 2.06647i | 0.0802552 | − | 0.0802552i | ||||
\(664\) | 28.3704 | + | 23.8388i | 1.10098 | + | 0.925126i | ||||
\(665\) | −7.25321 | − | 1.23129i | −0.281268 | − | 0.0477473i | ||||
\(666\) | −0.322037 | − | 11.1557i | −0.0124787 | − | 0.432273i | ||||
\(667\) | 16.5311 | − | 6.84741i | 0.640087 | − | 0.265133i | ||||
\(668\) | −47.0897 | + | 2.72099i | −1.82195 | + | 0.105278i | ||||
\(669\) | −10.5933 | − | 4.38790i | −0.409562 | − | 0.169646i | ||||
\(670\) | −37.1023 | − | 21.8384i | −1.43339 | − | 0.843690i | ||||
\(671\) | −13.2494 | −0.511487 | ||||||||
\(672\) | −1.54223 | + | 2.06662i | −0.0594927 | + | 0.0797216i | ||||
\(673\) | 40.4640i | 1.55977i | 0.625921 | + | 0.779886i | \(0.284723\pi\) | ||||
−0.625921 | + | 0.779886i | \(0.715277\pi\) | |||||||
\(674\) | −16.6465 | − | 37.1206i | −0.641199 | − | 1.42983i | ||||
\(675\) | −13.3734 | − | 11.9442i | −0.514743 | − | 0.459734i | ||||
\(676\) | 15.8967 | − | 0.918561i | 0.611410 | − | 0.0353293i | ||||
\(677\) | 43.5678 | − | 18.0464i | 1.67445 | − | 0.693579i | 0.675410 | − | 0.737442i | \(-0.263967\pi\) |
0.999038 | + | 0.0438631i | \(0.0139665\pi\) | |||||||
\(678\) | −16.2325 | + | 0.468593i | −0.623407 | + | 0.0179962i | ||||
\(679\) | 0.510024 | − | 0.510024i | 0.0195729 | − | 0.0195729i | ||||
\(680\) | −8.30356 | − | 9.78220i | −0.318427 | − | 0.375130i | ||||
\(681\) | 7.40016 | + | 7.40016i | 0.283575 | + | 0.283575i | ||||
\(682\) | 1.59639 | + | 1.50681i | 0.0611290 | + | 0.0576987i | ||||
\(683\) | −16.4106 | − | 39.6187i | −0.627934 | − | 1.51597i | −0.842185 | − | 0.539188i | \(-0.818731\pi\) |
0.214251 | − | 0.976779i | \(-0.431269\pi\) | |||||||
\(684\) | −7.88221 | + | 22.6436i | −0.301384 | + | 0.865799i | ||||
\(685\) | −14.1889 | + | 3.24069i | −0.542130 | + | 0.123821i | ||||
\(686\) | 12.6693 | + | 4.82440i | 0.483718 | + | 0.184196i | ||||
\(687\) | −15.8995 | −0.606603 | ||||||||
\(688\) | 15.5604 | − | 8.66583i | 0.593235 | − | 0.330382i | ||||
\(689\) | − | 30.6100i | − | 1.16615i | ||||||
\(690\) | −6.85994 | + | 1.77653i | −0.261153 | + | 0.0676312i | ||||
\(691\) | −3.00753 | + | 7.26082i | −0.114412 | + | 0.276215i | −0.970705 | − | 0.240276i | \(-0.922762\pi\) |
0.856293 | + | 0.516491i | \(0.172762\pi\) | |||||||
\(692\) | 13.2983 | − | 6.43069i | 0.505527 | − | 0.244458i | ||||
\(693\) | −1.27453 | − | 3.07700i | −0.0484156 | − | 0.116886i | ||||
\(694\) | 26.8116 | + | 25.3071i | 1.01776 | + | 0.960644i | ||||
\(695\) | −20.8496 | − | 3.53937i | −0.790870 | − | 0.134256i | ||||
\(696\) | 8.25316 | − | 4.28911i | 0.312835 | − | 0.162578i | ||||
\(697\) | −10.2295 | − | 10.2295i | −0.387470 | − | 0.387470i | ||||
\(698\) | −0.660972 | − | 22.8967i | −0.0250182 | − | 0.866654i | ||||
\(699\) | 2.56699 | + | 6.19726i | 0.0970924 | + | 0.234402i | ||||
\(700\) | 3.44783 | + | 6.21034i | 0.130316 | + | 0.234729i | ||||
\(701\) | −32.8906 | − | 13.6237i | −1.24226 | − | 0.514561i | −0.337841 | − | 0.941203i | \(-0.609696\pi\) |
−0.904421 | + | 0.426642i | \(0.859696\pi\) | |||||||
\(702\) | 4.65810 | + | 10.3873i | 0.175809 | + | 0.392042i | ||||
\(703\) | − | 14.1230i | − | 0.532661i | ||||||
\(704\) | 14.1450 | + | 3.15629i | 0.533109 | + | 0.118957i | ||||
\(705\) | 12.9446 | − | 9.18754i | 0.487523 | − | 0.346023i | ||||
\(706\) | −12.8673 | + | 5.77024i | −0.484266 | + | 0.217166i | ||||
\(707\) | −1.92736 | + | 4.65306i | −0.0724859 | + | 0.174996i | ||||
\(708\) | −9.54258 | + | 10.7130i | −0.358632 | + | 0.402620i | ||||
\(709\) | −7.30178 | − | 17.6281i | −0.274224 | − | 0.662035i | 0.725431 | − | 0.688295i | \(-0.241640\pi\) |
−0.999655 | + | 0.0262594i | \(0.991640\pi\) | |||||||
\(710\) | 29.1602 | + | 38.6703i | 1.09436 | + | 1.45127i | ||||
\(711\) | 8.73361 | − | 8.73361i | 0.327536 | − | 0.327536i | ||||
\(712\) | 15.9452 | − | 8.28661i | 0.597572 | − | 0.310554i | ||||
\(713\) | 2.11562 | − | 2.11562i | 0.0792306 | − | 0.0792306i | ||||
\(714\) | 0.951114 | + | 0.897742i | 0.0355945 | + | 0.0335971i | ||||
\(715\) | 7.69976 | + | 4.83652i | 0.287955 | + | 0.180876i | ||||
\(716\) | −16.9824 | − | 35.1186i | −0.634660 | − | 1.31245i | ||||
\(717\) | −5.78513 | − | 2.39628i | −0.216050 | − | 0.0894907i | ||||
\(718\) | 8.70049 | + | 3.31308i | 0.324699 | + | 0.123643i | ||||
\(719\) | − | 4.32239i | − | 0.161198i | −0.996747 | − | 0.0805990i | \(-0.974317\pi\) | ||
0.996747 | − | 0.0805990i | \(-0.0256833\pi\) | |||||||
\(720\) | 21.8242 | − | 7.71961i | 0.813341 | − | 0.287693i | ||||
\(721\) | − | 8.50907i | − | 0.316894i | ||||||
\(722\) | −1.23527 | + | 3.24394i | −0.0459720 | + | 0.120727i | ||||
\(723\) | −1.38821 | − | 0.575014i | −0.0516280 | − | 0.0213850i | ||||
\(724\) | −8.63798 | + | 24.8147i | −0.321028 | + | 0.922232i | ||||
\(725\) | −1.44402 | − | 25.5806i | −0.0536297 | − | 0.950038i | ||||
\(726\) | −4.80803 | + | 5.09387i | −0.178443 | + | 0.189051i | ||||
\(727\) | 27.4349 | − | 27.4349i | 1.01750 | − | 1.01750i | 0.0176592 | − | 0.999844i | \(-0.494379\pi\) |
0.999844 | − | 0.0176592i | \(-0.00562138\pi\) | |||||||
\(728\) | −0.389955 | − | 4.49280i | −0.0144527 | − | 0.166514i | ||||
\(729\) | −5.11613 | + | 5.11613i | −0.189486 | + | 0.189486i | ||||
\(730\) | −15.4599 | − | 20.5019i | −0.572197 | − | 0.758808i | ||||
\(731\) | −3.45700 | − | 8.34595i | −0.127862 | − | 0.308686i | ||||
\(732\) | 0.541502 | + | 9.37127i | 0.0200145 | + | 0.346372i | ||||
\(733\) | 8.88835 | − | 21.4584i | 0.328299 | − | 0.792583i | −0.670420 | − | 0.741982i | \(-0.733886\pi\) |
0.998719 | − | 0.0506015i | \(-0.0161138\pi\) | |||||||
\(734\) | 8.22437 | + | 18.3398i | 0.303567 | + | 0.676935i | ||||
\(735\) | 5.39479 | + | 7.60091i | 0.198990 | + | 0.280364i | ||||
\(736\) | 4.85635 | − | 19.1466i | 0.179007 | − | 0.705754i | ||||
\(737\) | − | 24.6638i | − | 0.908502i | ||||||
\(738\) | 23.8149 | − | 10.6796i | 0.876639 | − | 0.393123i | ||||
\(739\) | −31.6292 | − | 13.1012i | −1.16350 | − | 0.481936i | −0.284459 | − | 0.958688i | \(-0.591814\pi\) |
−0.879038 | + | 0.476752i | \(0.841814\pi\) | |||||||
\(740\) | −10.6460 | + | 8.52065i | −0.391354 | + | 0.313225i | ||||
\(741\) | 2.55332 | + | 6.16426i | 0.0937986 | + | 0.226450i | ||||
\(742\) | 13.6932 | − | 0.395290i | 0.502695 | − | 0.0145116i | ||||
\(743\) | −28.7330 | − | 28.7330i | −1.05411 | − | 1.05411i | −0.998450 | − | 0.0556617i | \(-0.982273\pi\) |
−0.0556617 | − | 0.998450i | \(-0.517727\pi\) | |||||||
\(744\) | 1.00052 | − | 1.19071i | 0.0366808 | − | 0.0436535i | ||||
\(745\) | 13.2769 | + | 2.25385i | 0.486428 | + | 0.0825749i | ||||
\(746\) | 12.9166 | − | 13.6845i | 0.472910 | − | 0.501025i | ||||
\(747\) | 12.9762 | + | 31.3274i | 0.474776 | + | 1.14621i | ||||
\(748\) | 2.41656 | − | 6.94218i | 0.0883583 | − | 0.253831i | ||||
\(749\) | 2.71839 | − | 6.56277i | 0.0993278 | − | 0.239799i | ||||
\(750\) | −0.840256 | + | 10.1120i | −0.0306818 | + | 0.369237i | ||||
\(751\) | 41.5090i | 1.51469i | 0.653018 | + | 0.757343i | \(0.273503\pi\) | ||||
−0.653018 | + | 0.757343i | \(0.726497\pi\) | |||||||
\(752\) | 5.09656 | + | 43.9535i | 0.185853 | + | 1.60282i | ||||
\(753\) | −6.46910 | −0.235747 | ||||||||
\(754\) | −5.78866 | + | 15.2016i | −0.210810 | + | 0.553609i | ||||
\(755\) | −0.450468 | − | 1.97231i | −0.0163942 | − | 0.0717796i | ||||
\(756\) | −4.58654 | + | 2.21792i | −0.166811 | + | 0.0806649i | ||||
\(757\) | 17.0243 | + | 41.1003i | 0.618758 | + | 1.49382i | 0.853146 | + | 0.521672i | \(0.174691\pi\) |
−0.234388 | + | 0.972143i | \(0.575309\pi\) | |||||||
\(758\) | 15.8157 | − | 16.7560i | 0.574452 | − | 0.608604i | ||||
\(759\) | −2.87055 | − | 2.87055i | −0.104194 | − | 0.104194i | ||||
\(760\) | 27.8883 | − | 8.96793i | 1.01161 | − | 0.325301i | ||||
\(761\) | −22.7964 | + | 22.7964i | −0.826368 | + | 0.826368i | −0.987012 | − | 0.160644i | \(-0.948643\pi\) |
0.160644 | + | 0.987012i | \(0.448643\pi\) | |||||||
\(762\) | −0.236857 | − | 8.20494i | −0.00858041 | − | 0.297234i | ||||
\(763\) | 0.0260482 | − | 0.0107895i | 0.000943010 | − | 0.000390607i | ||||
\(764\) | 17.1604 | − | 19.2652i | 0.620840 | − | 0.696989i | ||||
\(765\) | −2.61434 | − | 11.4465i | −0.0945218 | − | 0.413850i | ||||
\(766\) | −14.7978 | + | 6.63598i | −0.534667 | + | 0.239768i | ||||
\(767\) | − | 25.0906i | − | 0.905968i | ||||||
\(768\) | 1.65433 | − | 10.1337i | 0.0596956 | − | 0.365669i | ||||
\(769\) | 1.06539 | 0.0384188 | 0.0192094 | − | 0.999815i | \(-0.493885\pi\) | ||||
0.0192094 | + | 0.999815i | \(0.493885\pi\) | |||||||
\(770\) | −2.06416 | + | 3.50691i | −0.0743873 | + | 0.126380i | ||||
\(771\) | 9.24272 | + | 3.82846i | 0.332868 | + | 0.137879i | ||||
\(772\) | 7.98772 | + | 7.11503i | 0.287484 | + | 0.256076i | ||||
\(773\) | 10.9283 | − | 4.52664i | 0.393062 | − | 0.162812i | −0.177394 | − | 0.984140i | \(-0.556767\pi\) |
0.570456 | + | 0.821328i | \(0.306767\pi\) | |||||||
\(774\) | 16.2910 | − | 0.470282i | 0.585569 | − | 0.0169039i | ||||
\(775\) | −1.85995 | − | 3.85937i | −0.0668115 | − | 0.138633i | ||||
\(776\) | −0.865532 | + | 2.73855i | −0.0310708 | + | 0.0983081i | ||||
\(777\) | 0.982810 | − | 0.982810i | 0.0352581 | − | 0.0352581i | ||||
\(778\) | 6.70976 | − | 7.10867i | 0.240557 | − | 0.254858i | ||||
\(779\) | 30.5145 | − | 12.6395i | 1.09329 | − | 0.452857i | ||||
\(780\) | 3.10617 | − | 5.64369i | 0.111219 | − | 0.202077i | ||||
\(781\) | −10.6179 | + | 25.6340i | −0.379940 | + | 0.917256i | ||||
\(782\) | −9.36280 | − | 3.56529i | −0.334813 | − | 0.127494i | ||||
\(783\) | 18.3764 | 0.656719 | ||||||||
\(784\) | −25.8088 | + | 2.99263i | −0.921744 | + | 0.106880i | ||||
\(785\) | −13.1767 | + | 9.35222i | −0.470295 | + | 0.333795i | ||||
\(786\) | 13.8465 | + | 5.27264i | 0.493888 | + | 0.188069i | ||||
\(787\) | −3.42688 | − | 1.41946i | −0.122155 | − | 0.0505982i | 0.320769 | − | 0.947158i | \(-0.396059\pi\) |
−0.442924 | + | 0.896559i | \(0.646059\pi\) | |||||||
\(788\) | −1.07252 | + | 3.08108i | −0.0382069 | + | 0.109759i | ||||
\(789\) | −0.512052 | + | 0.212099i | −0.0182295 | + | 0.00755091i | ||||
\(790\) | −14.9448 | − | 2.09530i | −0.531711 | − | 0.0745474i | ||||
\(791\) | 8.98737 | + | 8.98737i | 0.319554 | + | 0.319554i | ||||
\(792\) | 10.1532 | + | 8.53149i | 0.360780 | + | 0.303153i | ||||
\(793\) | −11.6082 | − | 11.6082i | −0.412218 | − | 0.412218i | ||||
\(794\) | 1.39393 | + | 48.2870i | 0.0494687 | + | 1.71364i | ||||
\(795\) | 16.5708 | + | 10.4088i | 0.587705 | + | 0.369161i | ||||
\(796\) | 1.74996 | + | 30.2849i | 0.0620256 | + | 1.07342i | ||||
\(797\) | 3.69486 | − | 8.92018i | 0.130879 | − | 0.315969i | −0.844832 | − | 0.535031i | \(-0.820300\pi\) |
0.975711 | + | 0.219062i | \(0.0702998\pi\) | |||||||
\(798\) | −2.72458 | + | 1.22182i | −0.0964491 | + | 0.0432520i | ||||
\(799\) | 22.4425 | 0.793959 | ||||||||
\(800\) | −23.5855 | − | 15.6117i | −0.833872 | − | 0.551958i | ||||
\(801\) | 16.4435 | 0.581001 | ||||||||
\(802\) | 36.2267 | − | 16.2456i | 1.27921 | − | 0.573652i | ||||
\(803\) | 5.62933 | − | 13.5904i | 0.198655 | − | 0.479595i | ||||
\(804\) | −17.4446 | + | 1.00801i | −0.615225 | + | 0.0355497i | ||||
\(805\) | 4.69654 | + | 2.95008i | 0.165531 | + | 0.103977i | ||||
\(806\) | 0.0784852 | + | 2.71880i | 0.00276452 | + | 0.0957658i | ||||
\(807\) | −2.54242 | − | 2.54242i | −0.0894974 | − | 0.0894974i | ||||
\(808\) | −1.73413 | − | 19.9794i | −0.0610064 | − | 0.702874i | ||||
\(809\) | −2.20420 | − | 2.20420i | −0.0774956 | − | 0.0774956i | 0.667297 | − | 0.744792i | \(-0.267451\pi\) |
−0.744792 | + | 0.667297i | \(0.767451\pi\) | |||||||
\(810\) | 17.1086 | + | 2.39867i | 0.601134 | + | 0.0842807i | ||||
\(811\) | 0.921897 | − | 0.381862i | 0.0323722 | − | 0.0134090i | −0.366439 | − | 0.930442i | \(-0.619423\pi\) |
0.398811 | + | 0.917033i | \(0.369423\pi\) | |||||||
\(812\) | −6.87512 | − | 2.39322i | −0.241269 | − | 0.0839855i | ||||
\(813\) | 13.8816 | + | 5.74994i | 0.486848 | + | 0.201659i | ||||
\(814\) | −7.30037 | − | 2.77993i | −0.255878 | − | 0.0974364i | ||||
\(815\) | −6.02537 | + | 4.27654i | −0.211059 | + | 0.149801i | ||||
\(816\) | −5.00895 | − | 1.42550i | −0.175348 | − | 0.0499026i | ||||
\(817\) | 20.6244 | 0.721556 | ||||||||
\(818\) | −10.6592 | − | 4.05895i | −0.372691 | − | 0.141918i | ||||
\(819\) | 1.57919 | − | 3.81250i | 0.0551814 | − | 0.133220i | ||||
\(820\) | −27.9375 | − | 15.3762i | −0.975620 | − | 0.536961i | ||||
\(821\) | −1.40597 | + | 0.582371i | −0.0490686 | + | 0.0203249i | −0.407083 | − | 0.913391i | \(-0.633454\pi\) |
0.358014 | + | 0.933716i | \(0.383454\pi\) | |||||||
\(822\) | −4.05474 | + | 4.29580i | −0.141425 | + | 0.149833i | ||||
\(823\) | −24.8286 | + | 24.8286i | −0.865471 | + | 0.865471i | −0.991967 | − | 0.126496i | \(-0.959627\pi\) |
0.126496 | + | 0.991967i | \(0.459627\pi\) | |||||||
\(824\) | 15.6244 | + | 30.0646i | 0.544301 | + | 1.04735i | ||||
\(825\) | −5.23652 | + | 2.52365i | −0.182312 | + | 0.0878622i | ||||
\(826\) | 11.2242 | − | 0.324014i | 0.390538 | − | 0.0112739i | ||||
\(827\) | −17.9629 | + | 7.44048i | −0.624631 | + | 0.258731i | −0.672470 | − | 0.740124i | \(-0.734767\pi\) |
0.0478387 | + | 0.998855i | \(0.484767\pi\) | |||||||
\(828\) | 12.0224 | − | 13.4970i | 0.417807 | − | 0.469052i | ||||
\(829\) | 14.5454 | + | 6.02491i | 0.505183 | + | 0.209254i | 0.620694 | − | 0.784053i | \(-0.286851\pi\) |
−0.115512 | + | 0.993306i | \(0.536851\pi\) | |||||||
\(830\) | 21.0156 | − | 35.7044i | 0.729461 | − | 1.23932i | ||||
\(831\) | −13.3118 | −0.461783 | ||||||||
\(832\) | 9.62751 | + | 15.1581i | 0.333774 | + | 0.525514i | ||||
\(833\) | 13.1779i | 0.456588i | ||||||||
\(834\) | −7.83189 | + | 3.51216i | −0.271196 | + | 0.121616i | ||||
\(835\) | 11.7423 | + | 51.4118i | 0.406358 | + | 1.77918i | ||||
\(836\) | 12.5317 | + | 11.1626i | 0.433419 | + | 0.386066i | ||||
\(837\) | 2.83885 | − | 1.17589i | 0.0981249 | − | 0.0406447i | ||||
\(838\) | 0.390906 | + | 13.5414i | 0.0135036 | + | 0.467779i | ||||
\(839\) | 6.61405 | − | 6.61405i | 0.228342 | − | 0.228342i | −0.583658 | − | 0.812000i | \(-0.698379\pi\) |
0.812000 | + | 0.583658i | \(0.198379\pi\) | |||||||
\(840\) | 2.56479 | + | 1.31665i | 0.0884937 | + | 0.0454287i | ||||
\(841\) | −1.93888 | − | 1.93888i | −0.0668581 | − | 0.0668581i | ||||
\(842\) | −11.5517 | + | 12.2385i | −0.398098 | + | 0.421766i | ||||
\(843\) | −5.30001 | − | 12.7953i | −0.182542 | − | 0.440695i | ||||
\(844\) | 8.69173 | + | 17.9741i | 0.299182 | + | 0.618692i | ||||
\(845\) | −3.96398 | − | 17.3557i | −0.136365 | − | 0.597055i | ||||
\(846\) | −14.4087 | + | 37.8388i | −0.495383 | + | 1.30092i | ||||
\(847\) | 5.48233 | 0.188375 | ||||||||
\(848\) | −47.6557 | + | 26.5402i | −1.63650 | + | 0.911395i | ||||
\(849\) | 3.24892i | 0.111503i | ||||||||
\(850\) | −9.24341 | + | 10.9709i | −0.317046 | + | 0.376297i | ||||
\(851\) | −4.07441 | + | 9.83650i | −0.139669 | + | 0.337191i | ||||
\(852\) | 18.5648 | + | 6.46239i | 0.636020 | + | 0.221398i | ||||
\(853\) | −0.496943 | − | 1.19973i | −0.0170150 | − | 0.0410779i | 0.915144 | − | 0.403128i | \(-0.132077\pi\) |
−0.932159 | + | 0.362050i | \(0.882077\pi\) | |||||||
\(854\) | 5.04296 | − | 5.34277i | 0.172566 | − | 0.182826i | ||||
\(855\) | 26.4282 | + | 4.48638i | 0.903825 | + | 0.153431i | ||||
\(856\) | 2.44585 | + | 28.1794i | 0.0835973 | + | 0.963152i | ||||
\(857\) | 23.4719 | + | 23.4719i | 0.801783 | + | 0.801783i | 0.983374 | − | 0.181591i | \(-0.0581246\pi\) |
−0.181591 | + | 0.983374i | \(0.558125\pi\) | |||||||
\(858\) | 3.68897 | − | 0.106491i | 0.125939 | − | 0.00363556i | ||||
\(859\) | 2.99136 | + | 7.22178i | 0.102064 | + | 0.246404i | 0.966660 | − | 0.256064i | \(-0.0824257\pi\) |
−0.864596 | + | 0.502467i | \(0.832426\pi\) | |||||||
\(860\) | −12.4430 | − | 15.5467i | −0.424303 | − | 0.530138i | ||||
\(861\) | 3.00305 | + | 1.24390i | 0.102344 | + | 0.0423921i | ||||
\(862\) | 43.6063 | − | 19.5549i | 1.48524 | − | 0.666044i | ||||
\(863\) | − | 19.4200i | − | 0.661065i | −0.943795 | − | 0.330532i | \(-0.892772\pi\) | ||
0.943795 | − | 0.330532i | \(-0.107228\pi\) | |||||||
\(864\) | 12.1328 | − | 16.2583i | 0.412767 | − | 0.553118i | ||||
\(865\) | −9.55879 | − | 13.4677i | −0.325009 | − | 0.457916i | ||||
\(866\) | −14.6701 | − | 32.7133i | −0.498509 | − | 1.11164i | ||||
\(867\) | 3.16410 | − | 7.63881i | 0.107458 | − | 0.259428i | ||||
\(868\) | −1.21523 | + | 0.0702200i | −0.0412476 | + | 0.00238342i | ||||
\(869\) | −3.30841 | − | 7.98722i | −0.112230 | − | 0.270948i | ||||
\(870\) | −6.26102 | − | 8.30292i | −0.212268 | − | 0.281495i | ||||
\(871\) | 21.6086 | − | 21.6086i | 0.732181 | − | 0.732181i | ||||
\(872\) | −0.0722231 | + | 0.0859519i | −0.00244578 | + | 0.00291070i | ||||
\(873\) | −1.85835 | + | 1.85835i | −0.0628956 | + | 0.0628956i | ||||
\(874\) | 15.7005 | − | 16.6339i | 0.531076 | − | 0.562650i | ||||
\(875\) | 6.20687 | − | 4.95424i | 0.209831 | − | 0.167484i | ||||
\(876\) | −9.84254 | − | 3.42617i | −0.332548 | − | 0.115760i | ||||
\(877\) | −1.29866 | − | 0.537922i | −0.0438526 | − | 0.0181643i | 0.360649 | − | 0.932701i | \(-0.382555\pi\) |
−0.404502 | + | 0.914537i | \(0.632555\pi\) | |||||||
\(878\) | 9.17856 | − | 24.1038i | 0.309761 | − | 0.813464i | ||||
\(879\) | 4.86383i | 0.164053i | ||||||||
\(880\) | 0.853794 | − | 16.1810i | 0.0287814 | − | 0.545461i | ||||
\(881\) | 15.5569i | 0.524127i | 0.965051 | + | 0.262063i | \(0.0844030\pi\) | ||||
−0.965051 | + | 0.262063i | \(0.915597\pi\) | |||||||
\(882\) | −22.2184 | − | 8.46061i | −0.748133 | − | 0.284883i | ||||
\(883\) | −17.6991 | − | 7.33121i | −0.595623 | − | 0.246715i | 0.0644449 | − | 0.997921i | \(-0.479472\pi\) |
−0.660067 | + | 0.751206i | \(0.729472\pi\) | |||||||
\(884\) | 8.19946 | − | 3.96502i | 0.275778 | − | 0.133358i | ||||
\(885\) | 13.5828 | + | 8.53191i | 0.456582 | + | 0.286797i | ||||
\(886\) | −8.47862 | − | 8.00284i | −0.284845 | − | 0.268861i | ||||
\(887\) | −21.6904 | + | 21.6904i | −0.728291 | + | 0.728291i | −0.970279 | − | 0.241988i | \(-0.922200\pi\) |
0.241988 | + | 0.970279i | \(0.422200\pi\) | |||||||
\(888\) | −1.66787 | + | 5.27715i | −0.0559701 | + | 0.177090i | ||||
\(889\) | −4.54278 | + | 4.54278i | −0.152360 | + | 0.152360i | ||||
\(890\) | −12.0964 | − | 16.0414i | −0.405471 | − | 0.537707i | ||||
\(891\) | 3.78743 | + | 9.14366i | 0.126884 | + | 0.306324i | ||||
\(892\) | −26.6836 | − | 23.7684i | −0.893434 | − | 0.795824i | ||||
\(893\) | −19.6079 | + | 47.3378i | −0.656155 | + | 1.58410i | ||||
\(894\) | 4.98731 | − | 2.23653i | 0.166801 | − | 0.0748006i | ||||
\(895\) | −35.5659 | + | 25.2431i | −1.18884 | + | 0.843785i | ||||
\(896\) | −6.65660 | + | 4.50257i | −0.222381 | + | 0.150420i | ||||
\(897\) | − | 5.02994i | − | 0.167945i | ||||||
\(898\) | −8.05589 | − | 17.9641i | −0.268829 | − | 0.599471i | ||||
\(899\) | 4.05642 | + | 1.68023i | 0.135289 | + | 0.0560386i | ||||
\(900\) | −12.5627 | − | 22.6283i | −0.418756 | − | 0.754277i | ||||
\(901\) | 10.5875 | + | 25.5605i | 0.352722 | + | 0.851545i | ||||
\(902\) | −0.527156 | − | 18.2612i | −0.0175524 | − | 0.608031i | ||||
\(903\) | 1.43523 | + | 1.43523i | 0.0477616 | + | 0.0477616i | ||||
\(904\) | −48.2572 | − | 15.2520i | −1.60501 | − | 0.507272i | ||||
\(905\) | 28.9622 | + | 4.91655i | 0.962737 | + | 0.163432i | ||||
\(906\) | −0.597132 | − | 0.563624i | −0.0198384 | − | 0.0187251i | ||||
\(907\) | −2.25625 | − | 5.44706i | −0.0749175 | − | 0.180867i | 0.881984 | − | 0.471279i | \(-0.156208\pi\) |
−0.956902 | + | 0.290412i | \(0.906208\pi\) | |||||||
\(908\) | 14.1990 | + | 29.3627i | 0.471209 | + | 0.974437i | ||||
\(909\) | 7.02264 | − | 16.9541i | 0.232926 | − | 0.562334i | ||||
\(910\) | −4.88097 | + | 1.26403i | −0.161803 | + | 0.0419022i | ||||
\(911\) | − | 56.3865i | − | 1.86817i | −0.357054 | − | 0.934084i | \(-0.616219\pi\) | ||
0.357054 | − | 0.934084i | \(-0.383781\pi\) | |||||||
\(912\) | 7.38311 | − | 9.31988i | 0.244479 | − | 0.308612i | ||||
\(913\) | 23.7345 | 0.785498 | ||||||||
\(914\) | 53.9007 | + | 20.5250i | 1.78288 | + | 0.678907i | ||||
\(915\) | 10.2314 | − | 2.33681i | 0.338240 | − | 0.0772527i | ||||
\(916\) | −46.7968 | − | 16.2899i | −1.54621 | − | 0.538234i | ||||
\(917\) | −4.43775 | − | 10.7137i | −0.146547 | − | 0.353797i | ||||
\(918\) | −7.48249 | − | 7.06261i | −0.246959 | − | 0.233101i | ||||
\(919\) | −31.7925 | − | 31.7925i | −1.04874 | − | 1.04874i | −0.998750 | − | 0.0499863i | \(-0.984082\pi\) |
−0.0499863 | − | 0.998750i | \(-0.515918\pi\) | |||||||
\(920\) | −22.0110 | − | 1.79956i | −0.725680 | − | 0.0593297i | ||||
\(921\) | 12.6861 | − | 12.6861i | 0.418020 | − | 0.418020i | ||||
\(922\) | −34.4584 | + | 0.994731i | −1.13483 | + | 0.0327597i | ||||
\(923\) | −31.7613 | + | 13.1560i | −1.04544 | + | 0.433034i | ||||
\(924\) | 0.0952769 | + | 1.64887i | 0.00313438 | + | 0.0542438i | ||||
\(925\) | 11.3706 | + | 10.1554i | 0.373862 | + | 0.333908i | ||||
\(926\) | −9.93450 | − | 22.1533i | −0.326468 | − | 0.728003i | ||||
\(927\) | 31.0041i | 1.01831i | ||||||||
\(928\) | 28.6859 | − | 4.16828i | 0.941661 | − | 0.136830i | ||||
\(929\) | 51.7288 | 1.69717 | 0.848584 | − | 0.529060i | \(-0.177456\pi\) | ||||
0.848584 | + | 0.529060i | \(0.177456\pi\) | |||||||
\(930\) | −1.49852 | − | 0.882026i | −0.0491384 | − | 0.0289228i | ||||
\(931\) | −27.7961 | − | 11.5135i | −0.910979 | − | 0.377340i | ||||
\(932\) | 1.20596 | + | 20.8704i | 0.0395025 | + | 0.683632i | ||||
\(933\) | 14.0594 | − | 5.82359i | 0.460284 | − | 0.190656i | ||||
\(934\) | −0.684981 | − | 23.7284i | −0.0224133 | − | 0.776418i | ||||
\(935\) | −8.10248 | − | 1.37546i | −0.264979 | − | 0.0449822i | ||||
\(936\) | 1.42086 | + | 16.3702i | 0.0464423 | + | 0.535077i | ||||
\(937\) | 3.14648 | − | 3.14648i | 0.102791 | − | 0.102791i | −0.653841 | − | 0.756632i | \(-0.726843\pi\) |
0.756632 | + | 0.653841i | \(0.226843\pi\) | |||||||
\(938\) | 9.94558 | + | 9.38748i | 0.324735 | + | 0.306512i | ||||
\(939\) | −0.561076 | + | 0.232405i | −0.0183100 | + | 0.00758426i | ||||
\(940\) | 47.5130 | − | 13.7791i | 1.54970 | − | 0.449425i | ||||
\(941\) | −14.6438 | + | 35.3534i | −0.477376 | + | 1.15249i | 0.483460 | + | 0.875367i | \(0.339380\pi\) |
−0.960835 | + | 0.277120i | \(0.910620\pi\) | |||||||
\(942\) | −2.33383 | + | 6.12887i | −0.0760403 | + | 0.199689i | ||||
\(943\) | −24.8993 | −0.810833 | ||||||||
\(944\) | −39.0627 | + | 21.7546i | −1.27138 | + | 0.708053i | ||||
\(945\) | 3.29679 | + | 4.64496i | 0.107244 | + | 0.151100i | ||||
\(946\) | 4.05963 | − | 10.6610i | 0.131990 | − | 0.346619i | ||||
\(947\) | 8.87565 | + | 3.67642i | 0.288420 | + | 0.119467i | 0.522203 | − | 0.852821i | \(-0.325110\pi\) |
−0.233783 | + | 0.972289i | \(0.575110\pi\) | |||||||
\(948\) | −5.51413 | + | 2.66647i | −0.179091 | + | 0.0866030i | ||||
\(949\) | 16.8390 | − | 6.97492i | 0.546616 | − | 0.226416i | ||||
\(950\) | −15.0648 | − | 29.0822i | −0.488766 | − | 0.943552i | ||||
\(951\) | 7.32737 | + | 7.32737i | 0.237606 | + | 0.237606i | ||||
\(952\) | 1.87962 | + | 3.61679i | 0.0609188 | + | 0.117221i | ||||
\(953\) | 39.7727 | + | 39.7727i | 1.28836 | + | 1.28836i | 0.935781 | + | 0.352582i | \(0.114696\pi\) |
0.352582 | + | 0.935781i | \(0.385304\pi\) | |||||||
\(954\) | −49.8934 | + | 1.44030i | −1.61536 | + | 0.0466314i | ||||
\(955\) | −24.4259 | − | 15.3429i | −0.790405 | − | 0.496484i | ||||
\(956\) | −14.5722 | − | 12.9801i | −0.471299 | − | 0.419808i | ||||
\(957\) | 2.27979 | − | 5.50390i | 0.0736951 | − | 0.177916i | ||||
\(958\) | −13.8627 | − | 30.9129i | −0.447883 | − | 0.998750i | ||||
\(959\) | 4.62340 | 0.149297 | ||||||||
\(960\) | −11.4797 | + | 0.0574303i | −0.370505 | + | 0.00185356i | ||||
\(961\) | −30.2658 | −0.976317 | ||||||||
\(962\) | −3.96049 | − | 8.83163i | −0.127691 | − | 0.284743i | ||||
\(963\) | −9.90487 | + | 23.9125i | −0.319180 | + | 0.770568i | ||||
\(964\) | −3.49677 | − | 3.11473i | −0.112623 | − | 0.100319i | ||||
\(965\) | 6.36147 | − | 10.1275i | 0.204783 | − | 0.326015i | ||||
\(966\) | 2.25012 | − | 0.0649554i | 0.0723964 | − | 0.00208991i | ||||
\(967\) | 17.4988 | + | 17.4988i | 0.562723 | + | 0.562723i | 0.930080 | − | 0.367357i | \(-0.119737\pi\) |
−0.367357 | + | 0.930080i | \(0.619737\pi\) | |||||||
\(968\) | −19.3704 | + | 10.0667i | −0.622588 | + | 0.323555i | ||||
\(969\) | −4.26425 | − | 4.26425i | −0.136987 | − | 0.136987i | ||||
\(970\) | 3.17997 | + | 0.445841i | 0.102103 | + | 0.0143151i | ||||
\(971\) | −45.0976 | + | 18.6800i | −1.44725 | + | 0.599471i | −0.961544 | − | 0.274650i | \(-0.911438\pi\) |
−0.485707 | + | 0.874122i | \(0.661438\pi\) | |||||||
\(972\) | 25.6835 | − | 12.4198i | 0.823797 | − | 0.398364i | ||||
\(973\) | 6.20658 | + | 2.57085i | 0.198974 | + | 0.0824177i | ||||
\(974\) | 0.549601 | − | 1.44331i | 0.0176104 | − | 0.0462466i | ||||
\(975\) | −6.79891 | − | 2.37682i | −0.217739 | − | 0.0761193i | ||||
\(976\) | −8.00760 | + | 28.1372i | −0.256317 | + | 0.900650i | ||||
\(977\) | −1.94663 | −0.0622781 | −0.0311390 | − | 0.999515i | \(-0.509913\pi\) | ||||
−0.0311390 | + | 0.999515i | \(0.509913\pi\) | |||||||
\(978\) | −1.06720 | + | 2.80258i | −0.0341254 | + | 0.0896167i | ||||
\(979\) | 4.40458 | − | 10.6336i | 0.140771 | − | 0.339851i | ||||
\(980\) | 8.09089 | + | 27.8990i | 0.258454 | + | 0.891200i | ||||
\(981\) | −0.0949108 | + | 0.0393133i | −0.00303027 | + | 0.00125518i | ||||
\(982\) | −18.7646 | − | 17.7116i | −0.598803 | − | 0.565201i | ||||
\(983\) | 3.46555 | − | 3.46555i | 0.110534 | − | 0.110534i | −0.649677 | − | 0.760211i | \(-0.725096\pi\) |
0.760211 | + | 0.649677i | \(0.225096\pi\) | |||||||
\(984\) | −12.8946 | + | 1.11919i | −0.411064 | + | 0.0356785i | ||||
\(985\) | 3.59604 | + | 0.610455i | 0.114579 | + | 0.0194507i | ||||
\(986\) | −0.424241 | − | 14.6961i | −0.0135106 | − | 0.468020i | ||||
\(987\) | −4.65869 | + | 1.92969i | −0.148288 | + | 0.0614228i | ||||
\(988\) | 1.19954 | + | 20.7593i | 0.0381624 | + | 0.660440i | ||||
\(989\) | −14.3646 | − | 5.95001i | −0.456767 | − | 0.189199i | ||||
\(990\) | 7.52109 | − | 12.7780i | 0.239036 | − | 0.406110i | ||||
\(991\) | 55.6865 | 1.76894 | 0.884470 | − | 0.466596i | \(-0.154520\pi\) | ||||
0.884470 | + | 0.466596i | \(0.154520\pi\) | |||||||
\(992\) | 4.16477 | − | 2.47951i | 0.132232 | − | 0.0787247i | ||||
\(993\) | 2.52806i | 0.0802254i | ||||||||
\(994\) | −6.29543 | − | 14.0384i | −0.199679 | − | 0.445271i | ||||
\(995\) | 33.0646 | − | 7.55182i | 1.04822 | − | 0.239409i | ||||
\(996\) | −0.970029 | − | 16.7874i | −0.0307365 | − | 0.531928i | ||||
\(997\) | −33.5549 | + | 13.8989i | −1.06270 | + | 0.440183i | −0.844407 | − | 0.535702i | \(-0.820047\pi\) |
−0.218288 | + | 0.975884i | \(0.570047\pi\) | |||||||
\(998\) | 34.8576 | − | 1.00625i | 1.10340 | − | 0.0318524i | ||||
\(999\) | −7.73185 | + | 7.73185i | −0.244625 | + | 0.244625i |
(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 | 160.2.z.a.29.8 | ✓ | 88 | |
4.3 | odd | 2 | 640.2.z.a.209.14 | 88 | |||
5.2 | odd | 4 | 800.2.y.f.701.19 | 88 | |||
5.3 | odd | 4 | 800.2.y.f.701.4 | 88 | |||
5.4 | even | 2 | inner | 160.2.z.a.29.15 | yes | 88 | |
20.19 | odd | 2 | 640.2.z.a.209.9 | 88 | |||
32.11 | odd | 8 | 640.2.z.a.49.9 | 88 | |||
32.21 | even | 8 | inner | 160.2.z.a.149.15 | yes | 88 | |
160.53 | odd | 8 | 800.2.y.f.501.4 | 88 | |||
160.117 | odd | 8 | 800.2.y.f.501.19 | 88 | |||
160.139 | odd | 8 | 640.2.z.a.49.14 | 88 | |||
160.149 | even | 8 | inner | 160.2.z.a.149.8 | yes | 88 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
160.2.z.a.29.8 | ✓ | 88 | 1.1 | even | 1 | trivial | |
160.2.z.a.29.15 | yes | 88 | 5.4 | even | 2 | inner | |
160.2.z.a.149.8 | yes | 88 | 160.149 | even | 8 | inner | |
160.2.z.a.149.15 | yes | 88 | 32.21 | even | 8 | inner | |
640.2.z.a.49.9 | 88 | 32.11 | odd | 8 | |||
640.2.z.a.49.14 | 88 | 160.139 | odd | 8 | |||
640.2.z.a.209.9 | 88 | 20.19 | odd | 2 | |||
640.2.z.a.209.14 | 88 | 4.3 | odd | 2 | |||
800.2.y.f.501.4 | 88 | 160.53 | odd | 8 | |||
800.2.y.f.501.19 | 88 | 160.117 | odd | 8 | |||
800.2.y.f.701.4 | 88 | 5.3 | odd | 4 | |||
800.2.y.f.701.19 | 88 | 5.2 | odd | 4 |