Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [112,2,Mod(3,112)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(112, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 9, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("112.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 112 = 2^{4} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 112.v (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.894324502638\) |
Analytic rank: | \(0\) |
Dimension: | \(56\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 19.1 | ||
Character | \(\chi\) | \(=\) | 112.19 |
Dual form | 112.2.v.a.59.1 |
$q$-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 \(\left(\mathbb{Z}/112\mathbb{Z}\right)^\times\).
\(n\) | \(15\) | \(17\) | \(85\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{5}{6}\right)\) | \(e\left(\frac{3}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.38359 | + | 0.292689i | −0.978349 | + | 0.206962i | ||||
\(3\) | 0.615336 | − | 2.29647i | 0.355265 | − | 1.32587i | −0.524887 | − | 0.851172i | \(-0.675892\pi\) |
0.880151 | − | 0.474693i | \(-0.157441\pi\) | |||||||
\(4\) | 1.82867 | − | 0.809925i | 0.914333 | − | 0.404962i | ||||
\(5\) | −0.835825 | + | 0.223959i | −0.373792 | + | 0.100157i | −0.440824 | − | 0.897593i | \(-0.645314\pi\) |
0.0670318 | + | 0.997751i | \(0.478647\pi\) | |||||||
\(6\) | −0.179226 | + | 3.35748i | −0.0731688 | + | 1.37069i | ||||
\(7\) | −1.25761 | − | 2.32775i | −0.475331 | − | 0.879807i | ||||
\(8\) | −2.29308 | + | 1.65584i | −0.810725 | + | 0.585427i | ||||
\(9\) | −2.29704 | − | 1.32620i | −0.765681 | − | 0.442066i | ||||
\(10\) | 1.09089 | − | 0.554505i | 0.344971 | − | 0.175350i | ||||
\(11\) | 0.544785 | − | 2.03316i | 0.164259 | − | 0.613022i | −0.833875 | − | 0.551954i | \(-0.813883\pi\) |
0.998134 | − | 0.0610684i | \(-0.0194508\pi\) | |||||||
\(12\) | −0.734720 | − | 4.69785i | −0.212095 | − | 1.35615i | ||||
\(13\) | 0.336492 | − | 0.336492i | 0.0933261 | − | 0.0933261i | −0.658902 | − | 0.752228i | \(-0.728979\pi\) |
0.752228 | + | 0.658902i | \(0.228979\pi\) | |||||||
\(14\) | 2.42133 | + | 2.85257i | 0.647127 | + | 0.762383i | ||||
\(15\) | 2.05725i | 0.531181i | ||||||||
\(16\) | 2.68804 | − | 2.96216i | 0.672011 | − | 0.740541i | ||||
\(17\) | −0.0488652 | + | 0.0282123i | −0.0118516 | + | 0.00684250i | −0.505914 | − | 0.862584i | \(-0.668845\pi\) |
0.494063 | + | 0.869426i | \(0.335511\pi\) | |||||||
\(18\) | 3.56634 | + | 1.16260i | 0.840594 | + | 0.274028i | ||||
\(19\) | 7.89820 | − | 2.11632i | 1.81197 | − | 0.485516i | 0.816232 | − | 0.577724i | \(-0.196059\pi\) |
0.995740 | + | 0.0922079i | \(0.0293924\pi\) | |||||||
\(20\) | −1.34706 | + | 1.08650i | −0.301211 | + | 0.242949i | ||||
\(21\) | −6.11945 | + | 1.45571i | −1.33537 | + | 0.317661i | ||||
\(22\) | −0.158677 | + | 2.97253i | −0.0338300 | + | 0.633745i | ||||
\(23\) | −3.59814 | + | 6.23216i | −0.750264 | + | 1.29949i | 0.197431 | + | 0.980317i | \(0.436740\pi\) |
−0.947695 | + | 0.319178i | \(0.896593\pi\) | |||||||
\(24\) | 2.39156 | + | 6.28487i | 0.488175 | + | 1.28289i | ||||
\(25\) | −3.68168 | + | 2.12562i | −0.736336 | + | 0.425124i | ||||
\(26\) | −0.367081 | + | 0.564056i | −0.0719905 | + | 0.110620i | ||||
\(27\) | 0.584366 | − | 0.584366i | 0.112461 | − | 0.112461i | ||||
\(28\) | −4.18505 | − | 3.23811i | −0.790900 | − | 0.611946i | ||||
\(29\) | 4.81700 | + | 4.81700i | 0.894494 | + | 0.894494i | 0.994942 | − | 0.100448i | \(-0.0320277\pi\) |
−0.100448 | + | 0.994942i | \(0.532028\pi\) | |||||||
\(30\) | −0.602135 | − | 2.84641i | −0.109934 | − | 0.519680i | ||||
\(31\) | 1.84955 | + | 3.20351i | 0.332188 | + | 0.575367i | 0.982941 | − | 0.183923i | \(-0.0588797\pi\) |
−0.650752 | + | 0.759290i | \(0.725546\pi\) | |||||||
\(32\) | −2.85217 | + | 4.88519i | −0.504197 | + | 0.863588i | ||||
\(33\) | −4.33387 | − | 2.50216i | −0.754429 | − | 0.435570i | ||||
\(34\) | 0.0593522 | − | 0.0533367i | 0.0101788 | − | 0.00914717i | ||||
\(35\) | 1.57246 | + | 1.66394i | 0.265794 | + | 0.281257i | ||||
\(36\) | −5.27465 | − | 0.564743i | −0.879108 | − | 0.0941239i | ||||
\(37\) | −0.876214 | − | 3.27008i | −0.144049 | − | 0.537597i | −0.999796 | − | 0.0202030i | \(-0.993569\pi\) |
0.855747 | − | 0.517394i | \(-0.173098\pi\) | |||||||
\(38\) | −10.3085 | + | 5.23984i | −1.67226 | + | 0.850014i | ||||
\(39\) | −0.565687 | − | 0.979798i | −0.0905824 | − | 0.156893i | ||||
\(40\) | 1.54577 | − | 1.89755i | 0.244408 | − | 0.300028i | ||||
\(41\) | 4.95983 | 0.774596 | 0.387298 | − | 0.921955i | \(-0.373408\pi\) | ||||
0.387298 | + | 0.921955i | \(0.373408\pi\) | |||||||
\(42\) | 8.04077 | − | 3.80520i | 1.24072 | − | 0.587155i | ||||
\(43\) | 4.99825 | + | 4.99825i | 0.762225 | + | 0.762225i | 0.976724 | − | 0.214499i | \(-0.0688118\pi\) |
−0.214499 | + | 0.976724i | \(0.568812\pi\) | |||||||
\(44\) | −0.650480 | − | 4.15921i | −0.0980636 | − | 0.627025i | ||||
\(45\) | 2.21694 | + | 0.594027i | 0.330482 | + | 0.0885524i | ||||
\(46\) | 3.15428 | − | 9.67591i | 0.465073 | − | 1.42664i | ||||
\(47\) | 5.50377 | − | 9.53281i | 0.802807 | − | 1.39050i | −0.114954 | − | 0.993371i | \(-0.536672\pi\) |
0.917761 | − | 0.397132i | \(-0.129995\pi\) | |||||||
\(48\) | −5.14846 | − | 7.99573i | −0.743116 | − | 1.15408i | ||||
\(49\) | −3.83684 | + | 5.85480i | −0.548120 | + | 0.836399i | ||||
\(50\) | 4.47181 | − | 4.01858i | 0.632409 | − | 0.568313i | ||||
\(51\) | 0.0347202 | + | 0.129577i | 0.00486179 | + | 0.0181445i | ||||
\(52\) | 0.342799 | − | 0.887865i | 0.0475376 | − | 0.123125i | ||||
\(53\) | 3.62555 | + | 0.971464i | 0.498008 | + | 0.133441i | 0.499075 | − | 0.866559i | \(-0.333673\pi\) |
−0.00106745 | + | 0.999999i | \(0.500340\pi\) | |||||||
\(54\) | −0.637488 | + | 0.979563i | −0.0867512 | + | 0.133302i | ||||
\(55\) | 1.82138i | 0.245595i | ||||||||
\(56\) | 6.73817 | + | 3.25532i | 0.900426 | + | 0.435010i | ||||
\(57\) | − | 19.4402i | − | 2.57492i | ||||||
\(58\) | −8.07465 | − | 5.25489i | −1.06025 | − | 0.690001i | ||||
\(59\) | −8.49533 | − | 2.27632i | −1.10600 | − | 0.296351i | −0.340793 | − | 0.940138i | \(-0.610695\pi\) |
−0.765204 | + | 0.643787i | \(0.777362\pi\) | |||||||
\(60\) | 1.66622 | + | 3.76203i | 0.215108 | + | 0.485676i | ||||
\(61\) | 1.66645 | + | 6.21929i | 0.213367 | + | 0.796298i | 0.986735 | + | 0.162340i | \(0.0519042\pi\) |
−0.773367 | + | 0.633958i | \(0.781429\pi\) | |||||||
\(62\) | −3.49665 | − | 3.89102i | −0.444075 | − | 0.494160i | ||||
\(63\) | −0.198278 | + | 7.01478i | −0.0249807 | + | 0.883779i | ||||
\(64\) | 2.51641 | − | 7.59393i | 0.314551 | − | 0.949241i | ||||
\(65\) | −0.205888 | + | 0.356609i | −0.0255373 | + | 0.0442319i | ||||
\(66\) | 6.72867 | + | 2.19350i | 0.828242 | + | 0.270001i | ||||
\(67\) | −10.4602 | − | 2.80281i | −1.27792 | − | 0.342417i | −0.444859 | − | 0.895601i | \(-0.646746\pi\) |
−0.833059 | + | 0.553184i | \(0.813413\pi\) | |||||||
\(68\) | −0.0665083 | + | 0.0911681i | −0.00806532 | + | 0.0110558i | ||||
\(69\) | 12.0979 | + | 12.0979i | 1.45641 | + | 1.45641i | ||||
\(70\) | −2.66266 | − | 1.84198i | −0.318249 | − | 0.220158i | ||||
\(71\) | −13.1246 | −1.55760 | −0.778800 | − | 0.627272i | \(-0.784171\pi\) | ||||
−0.778800 | + | 0.627272i | \(0.784171\pi\) | |||||||
\(72\) | 7.46327 | − | 0.762454i | 0.879554 | − | 0.0898560i | ||||
\(73\) | 2.69592 | + | 4.66948i | 0.315534 | + | 0.546521i | 0.979551 | − | 0.201197i | \(-0.0644830\pi\) |
−0.664017 | + | 0.747718i | \(0.731150\pi\) | |||||||
\(74\) | 2.16944 | + | 4.26800i | 0.252192 | + | 0.496145i | ||||
\(75\) | 2.61594 | + | 9.76283i | 0.302063 | + | 1.12731i | ||||
\(76\) | 12.7291 | − | 10.2670i | 1.46013 | − | 1.17770i | ||||
\(77\) | −5.41782 | + | 1.28880i | −0.617418 | + | 0.146873i | ||||
\(78\) | 1.06946 | + | 1.19007i | 0.121092 | + | 0.134749i | ||||
\(79\) | −4.99619 | − | 2.88455i | −0.562116 | − | 0.324538i | 0.191878 | − | 0.981419i | \(-0.438542\pi\) |
−0.753994 | + | 0.656881i | \(0.771875\pi\) | |||||||
\(80\) | −1.58333 | + | 3.07786i | −0.177022 | + | 0.344116i | ||||
\(81\) | −4.96099 | − | 8.59269i | −0.551221 | − | 0.954743i | ||||
\(82\) | −6.86240 | + | 1.45169i | −0.757825 | + | 0.160312i | ||||
\(83\) | −4.52860 | − | 4.52860i | −0.497079 | − | 0.497079i | 0.413449 | − | 0.910527i | \(-0.364324\pi\) |
−0.910527 | + | 0.413449i | \(0.864324\pi\) | |||||||
\(84\) | −10.0114 | + | 7.61830i | −1.09234 | + | 0.831224i | ||||
\(85\) | 0.0345244 | − | 0.0345244i | 0.00374469 | − | 0.00374469i | ||||
\(86\) | −8.37848 | − | 5.45262i | −0.903474 | − | 0.587971i | ||||
\(87\) | 14.0261 | − | 8.09800i | 1.50376 | − | 0.868197i | ||||
\(88\) | 2.11735 | + | 5.56428i | 0.225711 | + | 0.593154i | ||||
\(89\) | −1.28218 | + | 2.22080i | −0.135911 | + | 0.235404i | −0.925945 | − | 0.377659i | \(-0.876729\pi\) |
0.790034 | + | 0.613063i | \(0.210063\pi\) | |||||||
\(90\) | −3.24121 | − | 0.173020i | −0.341654 | − | 0.0182379i | ||||
\(91\) | −1.20644 | − | 0.360094i | −0.126470 | − | 0.0377481i | ||||
\(92\) | −1.53222 | + | 14.3108i | −0.159745 | + | 1.49200i | ||||
\(93\) | 8.49484 | − | 2.27619i | 0.880874 | − | 0.236030i | ||||
\(94\) | −4.82484 | + | 14.8004i | −0.497644 | + | 1.52655i | ||||
\(95\) | −6.12755 | + | 3.53774i | −0.628673 | + | 0.362965i | ||||
\(96\) | 9.46364 | + | 9.55595i | 0.965879 | + | 0.975300i | ||||
\(97\) | 9.06313i | 0.920222i | 0.887861 | + | 0.460111i | \(0.152190\pi\) | ||||
−0.887861 | + | 0.460111i | \(0.847810\pi\) | |||||||
\(98\) | 3.59500 | − | 9.22366i | 0.363150 | − | 0.931731i | ||||
\(99\) | −3.94777 | + | 3.94777i | −0.396766 | + | 0.396766i | ||||
\(100\) | −5.01098 | + | 6.86893i | −0.501098 | + | 0.686893i | ||||
\(101\) | 2.48444 | − | 9.27207i | 0.247211 | − | 0.922605i | −0.725048 | − | 0.688699i | \(-0.758182\pi\) |
0.972259 | − | 0.233907i | \(-0.0751510\pi\) | |||||||
\(102\) | −0.0859644 | − | 0.169120i | −0.00851175 | − | 0.0167454i | ||||
\(103\) | −1.18973 | − | 0.686893i | −0.117228 | − | 0.0676816i | 0.440239 | − | 0.897880i | \(-0.354894\pi\) |
−0.557467 | + | 0.830199i | \(0.688227\pi\) | |||||||
\(104\) | −0.214426 | + | 1.32878i | −0.0210262 | + | 0.130297i | ||||
\(105\) | 4.78878 | − | 2.58722i | 0.467337 | − | 0.252487i | ||||
\(106\) | −5.30063 | − | 0.282954i | −0.514843 | − | 0.0274829i | ||||
\(107\) | 13.5151 | − | 3.62137i | 1.30656 | − | 0.350091i | 0.462632 | − | 0.886551i | \(-0.346905\pi\) |
0.843926 | + | 0.536459i | \(0.180239\pi\) | |||||||
\(108\) | 0.595318 | − | 1.54190i | 0.0572845 | − | 0.148370i | ||||
\(109\) | 0.720506 | − | 2.68896i | 0.0690119 | − | 0.257556i | −0.922797 | − | 0.385287i | \(-0.874103\pi\) |
0.991809 | + | 0.127731i | \(0.0407693\pi\) | |||||||
\(110\) | −0.533097 | − | 2.52005i | −0.0508288 | − | 0.240277i | ||||
\(111\) | −8.04879 | −0.763957 | ||||||||
\(112\) | −10.2757 | − | 2.53185i | −0.970961 | − | 0.239238i | ||||
\(113\) | 6.74317 | 0.634344 | 0.317172 | − | 0.948368i | \(-0.397267\pi\) | ||||
0.317172 | + | 0.948368i | \(0.397267\pi\) | |||||||
\(114\) | 5.68993 | + | 26.8974i | 0.532910 | + | 2.51917i | ||||
\(115\) | 1.61167 | − | 6.01483i | 0.150289 | − | 0.560886i | ||||
\(116\) | 12.7101 | + | 4.90728i | 1.18010 | + | 0.455629i | ||||
\(117\) | −1.21919 | + | 0.326681i | −0.112714 | + | 0.0302017i | ||||
\(118\) | 12.4203 | + | 0.663012i | 1.14338 | + | 0.0610352i | ||||
\(119\) | 0.127125 | + | 0.0782659i | 0.0116535 | + | 0.00717463i | ||||
\(120\) | −3.40648 | − | 4.71744i | −0.310968 | − | 0.430642i | ||||
\(121\) | 5.68931 | + | 3.28473i | 0.517210 | + | 0.298612i | ||||
\(122\) | −4.12601 | − | 8.11722i | −0.373551 | − | 0.734899i | ||||
\(123\) | 3.05197 | − | 11.3901i | 0.275187 | − | 1.02701i | ||||
\(124\) | 5.97681 | + | 4.36016i | 0.536733 | + | 0.391554i | ||||
\(125\) | 5.66052 | − | 5.66052i | 0.506293 | − | 0.506293i | ||||
\(126\) | −1.77881 | − | 9.76364i | −0.158469 | − | 0.869815i | ||||
\(127\) | 8.62463i | 0.765312i | 0.923891 | + | 0.382656i | \(0.124991\pi\) | ||||
−0.923891 | + | 0.382656i | \(0.875009\pi\) | |||||||
\(128\) | −1.25903 | + | 11.2434i | −0.111284 | + | 0.993789i | ||||
\(129\) | 14.5539 | − | 8.40270i | 1.28140 | − | 0.739817i | ||||
\(130\) | 0.180490 | − | 0.553663i | 0.0158301 | − | 0.0485595i | ||||
\(131\) | −5.20253 | + | 1.39401i | −0.454547 | + | 0.121796i | −0.478826 | − | 0.877910i | \(-0.658938\pi\) |
0.0242790 | + | 0.999705i | \(0.492271\pi\) | |||||||
\(132\) | −9.95176 | − | 1.06551i | −0.866189 | − | 0.0927407i | ||||
\(133\) | −14.8591 | − | 15.7235i | −1.28845 | − | 1.36340i | ||||
\(134\) | 15.2930 | + | 0.816361i | 1.32112 | + | 0.0705228i | ||||
\(135\) | −0.357554 | + | 0.619302i | −0.0307734 | + | 0.0533010i | ||||
\(136\) | 0.0653367 | − | 0.145606i | 0.00560257 | − | 0.0124856i | ||||
\(137\) | −9.31969 | + | 5.38073i | −0.796235 | + | 0.459707i | −0.842153 | − | 0.539239i | \(-0.818712\pi\) |
0.0459178 | + | 0.998945i | \(0.485379\pi\) | |||||||
\(138\) | −20.2795 | − | 13.1976i | −1.72630 | − | 1.12346i | ||||
\(139\) | −13.2045 | + | 13.2045i | −1.11999 | + | 1.11999i | −0.128251 | + | 0.991742i | \(0.540936\pi\) |
−0.991742 | + | 0.128251i | \(0.959064\pi\) | |||||||
\(140\) | 4.22317 | + | 1.76922i | 0.356923 | + | 0.149526i | ||||
\(141\) | −18.5051 | − | 18.5051i | −1.55841 | − | 1.55841i | ||||
\(142\) | 18.1591 | − | 3.84141i | 1.52388 | − | 0.322364i | ||||
\(143\) | −0.500828 | − | 0.867459i | −0.0418813 | − | 0.0725406i | ||||
\(144\) | −10.1030 | + | 3.23934i | −0.841914 | + | 0.269945i | ||||
\(145\) | −5.10498 | − | 2.94736i | −0.423945 | − | 0.244765i | ||||
\(146\) | −5.09677 | − | 5.67160i | −0.421812 | − | 0.469385i | ||||
\(147\) | 11.0844 | + | 12.4138i | 0.914225 | + | 1.02388i | ||||
\(148\) | −4.25082 | − | 5.27021i | −0.349415 | − | 0.433209i | ||||
\(149\) | 1.04523 | + | 3.90087i | 0.0856289 | + | 0.319571i | 0.995433 | − | 0.0954676i | \(-0.0304346\pi\) |
−0.909804 | + | 0.415039i | \(0.863768\pi\) | |||||||
\(150\) | −6.47687 | − | 12.7421i | −0.528834 | − | 1.04039i | ||||
\(151\) | 3.94869 | + | 6.83934i | 0.321340 | + | 0.556577i | 0.980765 | − | 0.195193i | \(-0.0625334\pi\) |
−0.659425 | + | 0.751771i | \(0.729200\pi\) | |||||||
\(152\) | −14.6069 | + | 17.9310i | −1.18478 | + | 1.45440i | ||||
\(153\) | 0.149661 | 0.0120993 | ||||||||
\(154\) | 7.11885 | − | 3.36891i | 0.573653 | − | 0.271475i | ||||
\(155\) | −2.26335 | − | 2.26335i | −0.181797 | − | 0.181797i | ||||
\(156\) | −1.82802 | − | 1.33356i | −0.146358 | − | 0.106770i | ||||
\(157\) | −15.6085 | − | 4.18229i | −1.24570 | − | 0.333783i | −0.425023 | − | 0.905182i | \(-0.639734\pi\) |
−0.820672 | + | 0.571399i | \(0.806401\pi\) | |||||||
\(158\) | 7.75698 | + | 2.52872i | 0.617112 | + | 0.201174i | ||||
\(159\) | 4.46187 | − | 7.72818i | 0.353849 | − | 0.612885i | ||||
\(160\) | 1.28983 | − | 4.72194i | 0.101970 | − | 0.373302i | ||||
\(161\) | 19.0320 | + | 0.537953i | 1.49993 | + | 0.0423966i | ||||
\(162\) | 9.37898 | + | 10.4368i | 0.736882 | + | 0.819990i | ||||
\(163\) | 0.801215 | + | 2.99018i | 0.0627560 | + | 0.234209i | 0.990179 | − | 0.139806i | \(-0.0446478\pi\) |
−0.927423 | + | 0.374014i | \(0.877981\pi\) | |||||||
\(164\) | 9.06988 | − | 4.01709i | 0.708239 | − | 0.313682i | ||||
\(165\) | 4.18274 | + | 1.12076i | 0.325626 | + | 0.0872511i | ||||
\(166\) | 7.59122 | + | 4.94028i | 0.589193 | + | 0.383440i | ||||
\(167\) | − | 5.62954i | − | 0.435627i | −0.975990 | − | 0.217813i | \(-0.930108\pi\) | ||
0.975990 | − | 0.217813i | \(-0.0698924\pi\) | |||||||
\(168\) | 11.6220 | − | 13.4709i | 0.896654 | − | 1.03930i | ||||
\(169\) | 12.7735i | 0.982580i | ||||||||
\(170\) | −0.0376628 | + | 0.0578726i | −0.00288861 | + | 0.00443863i | ||||
\(171\) | −20.9492 | − | 5.61331i | −1.60202 | − | 0.429261i | ||||
\(172\) | 13.1883 | + | 5.09192i | 1.00560 | + | 0.388256i | ||||
\(173\) | 0.454783 | + | 1.69727i | 0.0345765 | + | 0.129041i | 0.981057 | − | 0.193720i | \(-0.0620554\pi\) |
−0.946480 | + | 0.322762i | \(0.895389\pi\) | |||||||
\(174\) | −17.0363 | + | 15.3096i | −1.29152 | + | 1.16062i | ||||
\(175\) | 9.57802 | + | 5.89684i | 0.724030 | + | 0.445759i | ||||
\(176\) | −4.55816 | − | 7.07898i | −0.343584 | − | 0.533598i | ||||
\(177\) | −10.4550 | + | 18.1085i | −0.785843 | + | 1.36112i | ||||
\(178\) | 1.12401 | − | 3.44796i | 0.0842483 | − | 0.258436i | ||||
\(179\) | 7.39942 | + | 1.98267i | 0.553059 | + | 0.148192i | 0.524515 | − | 0.851401i | \(-0.324246\pi\) |
0.0285433 | + | 0.999593i | \(0.490913\pi\) | |||||||
\(180\) | 4.53516 | − | 0.709277i | 0.338031 | − | 0.0528664i | ||||
\(181\) | 0.00448004 | + | 0.00448004i | 0.000332999 | + | 0.000332999i | 0.707273 | − | 0.706940i | \(-0.249925\pi\) |
−0.706940 | + | 0.707273i | \(0.749925\pi\) | |||||||
\(182\) | 1.77463 | + | 0.145112i | 0.131544 | + | 0.0107564i | ||||
\(183\) | 15.3078 | 1.13159 | ||||||||
\(184\) | −2.06863 | − | 20.2487i | −0.152501 | − | 1.49276i | ||||
\(185\) | 1.46472 | + | 2.53698i | 0.107689 | + | 0.186522i | ||||
\(186\) | −11.0872 | + | 5.63566i | −0.812953 | + | 0.413227i | ||||
\(187\) | 0.0307393 | + | 0.114721i | 0.00224788 | + | 0.00838920i | ||||
\(188\) | 2.34370 | − | 21.8900i | 0.170932 | − | 1.59649i | ||||
\(189\) | −2.09516 | − | 0.625355i | −0.152401 | − | 0.0454879i | ||||
\(190\) | 7.44259 | − | 6.68826i | 0.539942 | − | 0.485218i | ||||
\(191\) | −13.3381 | − | 7.70073i | −0.965108 | − | 0.557206i | −0.0673669 | − | 0.997728i | \(-0.521460\pi\) |
−0.897741 | + | 0.440523i | \(0.854793\pi\) | |||||||
\(192\) | −15.8908 | − | 10.4517i | −1.14682 | − | 0.754284i | ||||
\(193\) | 0.775325 | + | 1.34290i | 0.0558091 | + | 0.0966642i | 0.892580 | − | 0.450889i | \(-0.148893\pi\) |
−0.836771 | + | 0.547553i | \(0.815560\pi\) | |||||||
\(194\) | −2.65268 | − | 12.5397i | −0.190451 | − | 0.900298i | ||||
\(195\) | 0.692250 | + | 0.692250i | 0.0495730 | + | 0.0495730i | ||||
\(196\) | −2.27436 | + | 13.8140i | −0.162454 | + | 0.986716i | ||||
\(197\) | 1.05178 | − | 1.05178i | 0.0749363 | − | 0.0749363i | −0.668645 | − | 0.743582i | \(-0.733126\pi\) |
0.743582 | + | 0.668645i | \(0.233126\pi\) | |||||||
\(198\) | 4.30665 | − | 6.61758i | 0.306060 | − | 0.470291i | ||||
\(199\) | 10.9631 | − | 6.32954i | 0.777152 | − | 0.448689i | −0.0582680 | − | 0.998301i | \(-0.518558\pi\) |
0.835420 | + | 0.549612i | \(0.185224\pi\) | |||||||
\(200\) | 4.92270 | − | 10.9705i | 0.348087 | − | 0.775730i | ||||
\(201\) | −12.8731 | + | 22.2969i | −0.907998 | + | 1.57270i | ||||
\(202\) | −0.723633 | + | 13.5559i | −0.0509146 | + | 0.953793i | ||||
\(203\) | 5.15487 | − | 17.2707i | 0.361801 | − | 1.21216i | ||||
\(204\) | 0.168440 | + | 0.208833i | 0.0117931 | + | 0.0146212i | ||||
\(205\) | −4.14556 | + | 1.11080i | −0.289538 | + | 0.0775815i | ||||
\(206\) | 1.84716 | + | 0.602160i | 0.128697 | + | 0.0419545i | ||||
\(207\) | 16.5302 | − | 9.54369i | 1.14893 | − | 0.663332i | ||||
\(208\) | −0.0922394 | − | 1.90125i | −0.00639565 | − | 0.131828i | ||||
\(209\) | − | 17.2113i | − | 1.19053i | ||||||
\(210\) | −5.86847 | + | 4.98128i | −0.404963 | + | 0.343741i | ||||
\(211\) | 0.830513 | − | 0.830513i | 0.0571749 | − | 0.0571749i | −0.677941 | − | 0.735116i | \(-0.737128\pi\) |
0.735116 | + | 0.677941i | \(0.237128\pi\) | |||||||
\(212\) | 7.41674 | − | 1.15994i | 0.509384 | − | 0.0796650i | ||||
\(213\) | −8.07603 | + | 30.1402i | −0.553360 | + | 2.06517i | ||||
\(214\) | −17.6395 | + | 8.96624i | −1.20581 | + | 0.612919i | ||||
\(215\) | −5.29706 | − | 3.05826i | −0.361257 | − | 0.208572i | ||||
\(216\) | −0.372382 | + | 2.30761i | −0.0253374 | + | 0.157013i | ||||
\(217\) | 5.13096 | − | 8.33404i | 0.348313 | − | 0.565752i | ||||
\(218\) | −0.209859 | + | 3.93132i | −0.0142134 | + | 0.266263i | ||||
\(219\) | 12.3822 | − | 3.31780i | 0.836712 | − | 0.224196i | ||||
\(220\) | 1.47518 | + | 3.33070i | 0.0994566 | + | 0.224555i | ||||
\(221\) | −0.00694952 | + | 0.0259360i | −0.000467476 | + | 0.00174464i | ||||
\(222\) | 11.1363 | − | 2.35579i | 0.747417 | − | 0.158110i | ||||
\(223\) | 4.19686 | 0.281043 | 0.140521 | − | 0.990078i | \(-0.455122\pi\) | ||||
0.140521 | + | 0.990078i | \(0.455122\pi\) | |||||||
\(224\) | 14.9584 | + | 0.495480i | 0.999452 | + | 0.0331057i | ||||
\(225\) | 11.2760 | 0.751731 | ||||||||
\(226\) | −9.32982 | + | 1.97365i | −0.620610 | + | 0.131285i | ||||
\(227\) | −3.32889 | + | 12.4236i | −0.220946 | + | 0.824583i | 0.763042 | + | 0.646349i | \(0.223705\pi\) |
−0.983988 | + | 0.178234i | \(0.942962\pi\) | |||||||
\(228\) | −15.7451 | − | 35.5497i | −1.04274 | − | 2.35433i | ||||
\(229\) | 19.5438 | − | 5.23675i | 1.29149 | − | 0.346054i | 0.453265 | − | 0.891376i | \(-0.350259\pi\) |
0.838227 | + | 0.545322i | \(0.183592\pi\) | |||||||
\(230\) | −0.469424 | + | 8.79380i | −0.0309529 | + | 0.579846i | ||||
\(231\) | −0.374094 | + | 13.2349i | −0.0246136 | + | 0.870792i | ||||
\(232\) | −19.0219 | − | 3.06958i | −1.24885 | − | 0.201528i | ||||
\(233\) | 19.8589 | + | 11.4655i | 1.30100 | + | 0.751132i | 0.980575 | − | 0.196143i | \(-0.0628416\pi\) |
0.320423 | + | 0.947275i | \(0.396175\pi\) | |||||||
\(234\) | 1.59125 | − | 0.808838i | 0.104023 | − | 0.0528754i | ||||
\(235\) | −2.46523 | + | 9.20038i | −0.160814 | + | 0.600167i | ||||
\(236\) | −17.3788 | + | 2.71795i | −1.13126 | + | 0.176924i | ||||
\(237\) | −9.69862 | + | 9.69862i | −0.629993 | + | 0.629993i | ||||
\(238\) | −0.198796 | − | 0.0710804i | −0.0128861 | − | 0.00460746i | ||||
\(239\) | 5.12967i | 0.331811i | 0.986142 | + | 0.165905i | \(0.0530546\pi\) | ||||
−0.986142 | + | 0.165905i | \(0.946945\pi\) | |||||||
\(240\) | 6.09393 | + | 5.52999i | 0.393361 | + | 0.356959i | ||||
\(241\) | −14.6795 | + | 8.47521i | −0.945589 | + | 0.545936i | −0.891708 | − | 0.452611i | \(-0.850492\pi\) |
−0.0538810 | + | 0.998547i | \(0.517159\pi\) | |||||||
\(242\) | −8.83311 | − | 2.87953i | −0.567814 | − | 0.185103i | ||||
\(243\) | −20.3907 | + | 5.46368i | −1.30807 | + | 0.350495i | ||||
\(244\) | 8.08454 | + | 10.0233i | 0.517560 | + | 0.641676i | ||||
\(245\) | 1.89570 | − | 5.75288i | 0.121112 | − | 0.367538i | ||||
\(246\) | −0.888933 | + | 16.6525i | −0.0566763 | + | 1.06173i | ||||
\(247\) | 1.94556 | − | 3.36981i | 0.123793 | − | 0.214416i | ||||
\(248\) | −9.54564 | − | 4.28335i | −0.606149 | − | 0.271993i | ||||
\(249\) | −13.1864 | + | 7.61317i | −0.835654 | + | 0.482465i | ||||
\(250\) | −6.17510 | + | 9.48864i | −0.390547 | + | 0.600114i | ||||
\(251\) | 1.63771 | − | 1.63771i | 0.103371 | − | 0.103371i | −0.653530 | − | 0.756901i | \(-0.726712\pi\) |
0.756901 | + | 0.653530i | \(0.226712\pi\) | |||||||
\(252\) | 5.31886 | + | 12.9883i | 0.335057 | + | 0.818185i | ||||
\(253\) | 10.7108 | + | 10.7108i | 0.673381 | + | 0.673381i | ||||
\(254\) | −2.52433 | − | 11.9330i | −0.158391 | − | 0.748742i | ||||
\(255\) | −0.0580400 | − | 0.100528i | −0.00363460 | − | 0.00629532i | ||||
\(256\) | −1.54884 | − | 15.9249i | −0.0968024 | − | 0.995304i | ||||
\(257\) | −7.00954 | − | 4.04696i | −0.437243 | − | 0.252443i | 0.265184 | − | 0.964198i | \(-0.414567\pi\) |
−0.702428 | + | 0.711755i | \(0.747901\pi\) | |||||||
\(258\) | −17.6773 | + | 15.8857i | −1.10054 | + | 0.989000i | ||||
\(259\) | −6.50999 | + | 6.15208i | −0.404511 | + | 0.382272i | ||||
\(260\) | −0.0876746 | + | 0.818873i | −0.00543735 | + | 0.0507843i | ||||
\(261\) | −4.67656 | − | 17.4531i | −0.289472 | − | 1.08032i | ||||
\(262\) | 6.79018 | − | 3.45147i | 0.419499 | − | 0.213233i | ||||
\(263\) | 7.41829 | + | 12.8489i | 0.457431 | + | 0.792295i | 0.998824 | − | 0.0484751i | \(-0.0154362\pi\) |
−0.541393 | + | 0.840770i | \(0.682103\pi\) | |||||||
\(264\) | 14.0811 | − | 1.43853i | 0.866629 | − | 0.0885356i | ||||
\(265\) | −3.24790 | −0.199517 | ||||||||
\(266\) | 25.1611 | + | 17.4059i | 1.54272 | + | 1.06723i | ||||
\(267\) | 4.31102 | + | 4.31102i | 0.263830 | + | 0.263830i | ||||
\(268\) | −21.3983 | + | 3.34659i | −1.30711 | + | 0.204425i | ||||
\(269\) | −0.234077 | − | 0.0627208i | −0.0142719 | − | 0.00382415i | 0.251676 | − | 0.967812i | \(-0.419018\pi\) |
−0.265948 | + | 0.963987i | \(0.585685\pi\) | |||||||
\(270\) | 0.313447 | − | 0.961515i | 0.0190758 | − | 0.0585159i | ||||
\(271\) | 11.2144 | − | 19.4240i | 0.681229 | − | 1.17992i | −0.293377 | − | 0.955997i | \(-0.594779\pi\) |
0.974606 | − | 0.223926i | \(-0.0718875\pi\) | |||||||
\(272\) | −0.0477822 | + | 0.220583i | −0.00289722 | + | 0.0133748i | ||||
\(273\) | −1.56931 | + | 2.54898i | −0.0949792 | + | 0.154271i | ||||
\(274\) | 11.3198 | − | 10.1725i | 0.683854 | − | 0.614544i | ||||
\(275\) | 2.31601 | + | 8.64346i | 0.139661 | + | 0.521221i | ||||
\(276\) | 31.9214 | + | 12.3246i | 1.92144 | + | 0.741855i | ||||
\(277\) | −18.7992 | − | 5.03722i | −1.12953 | − | 0.302657i | −0.354797 | − | 0.934943i | \(-0.615450\pi\) |
−0.774735 | + | 0.632286i | \(0.782117\pi\) | |||||||
\(278\) | 14.4049 | − | 22.1345i | 0.863948 | − | 1.32754i | ||||
\(279\) | − | 9.81146i | − | 0.587397i | ||||||
\(280\) | −6.36099 | − | 1.21180i | −0.380142 | − | 0.0724192i | ||||
\(281\) | − | 12.3856i | − | 0.738865i | −0.929258 | − | 0.369432i | \(-0.879552\pi\) | ||
0.929258 | − | 0.369432i | \(-0.120448\pi\) | |||||||
\(282\) | 31.0198 | + | 20.1873i | 1.84720 | + | 1.20214i | ||||
\(283\) | 3.64992 | + | 0.977993i | 0.216965 | + | 0.0581357i | 0.365664 | − | 0.930747i | \(-0.380842\pi\) |
−0.148699 | + | 0.988883i | \(0.547509\pi\) | |||||||
\(284\) | −24.0005 | + | 10.6299i | −1.42417 | + | 0.630770i | ||||
\(285\) | 4.35380 | + | 16.2486i | 0.257897 | + | 0.962485i | ||||
\(286\) | 0.946838 | + | 1.05362i | 0.0559877 | + | 0.0623021i | ||||
\(287\) | −6.23753 | − | 11.5453i | −0.368190 | − | 0.681495i | ||||
\(288\) | 13.0303 | − | 7.43896i | 0.767818 | − | 0.438345i | ||||
\(289\) | −8.49841 | + | 14.7197i | −0.499906 | + | 0.865863i | ||||
\(290\) | 7.92587 | + | 2.58378i | 0.465423 | + | 0.151725i | ||||
\(291\) | 20.8132 | + | 5.57687i | 1.22009 | + | 0.326922i | ||||
\(292\) | 8.71187 | + | 6.35542i | 0.509824 | + | 0.371923i | ||||
\(293\) | −2.83797 | − | 2.83797i | −0.165796 | − | 0.165796i | 0.619333 | − | 0.785129i | \(-0.287403\pi\) |
−0.785129 | + | 0.619333i | \(0.787403\pi\) | |||||||
\(294\) | −18.9697 | − | 13.9315i | −1.10634 | − | 0.812499i | ||||
\(295\) | 7.61041 | 0.443095 | ||||||||
\(296\) | 7.42394 | + | 6.04767i | 0.431508 | + | 0.351514i | ||||
\(297\) | −0.869758 | − | 1.50647i | −0.0504685 | − | 0.0874140i | ||||
\(298\) | −2.58792 | − | 5.09129i | −0.149914 | − | 0.294930i | ||||
\(299\) | 0.886326 | + | 3.30782i | 0.0512576 | + | 0.191296i | ||||
\(300\) | 12.6908 | + | 15.7342i | 0.732706 | + | 0.908417i | ||||
\(301\) | 5.34883 | − | 17.9205i | 0.308302 | − | 1.03292i | ||||
\(302\) | −7.46518 | − | 8.30713i | −0.429573 | − | 0.478022i | ||||
\(303\) | −19.7642 | − | 11.4109i | −1.13542 | − | 0.655538i | ||||
\(304\) | 14.9618 | − | 29.0845i | 0.858120 | − | 1.66811i | ||||
\(305\) | −2.78573 | − | 4.82502i | −0.159510 | − | 0.276280i | ||||
\(306\) | −0.207070 | + | 0.0438040i | −0.0118374 | + | 0.00250411i | ||||
\(307\) | −17.5282 | − | 17.5282i | −1.00038 | − | 1.00038i | −1.00000 | 0.000384595i | \(-0.999878\pi\) | |
−0.000384595 | − | 1.00000i | \(-0.500122\pi\) | |||||||
\(308\) | −8.86356 | + | 6.74482i | −0.505048 | + | 0.384322i | ||||
\(309\) | −2.30951 | + | 2.30951i | −0.131384 | + | 0.131384i | ||||
\(310\) | 3.79402 | + | 2.46910i | 0.215486 | + | 0.140236i | ||||
\(311\) | −19.4160 | + | 11.2098i | −1.10098 | + | 0.635651i | −0.936478 | − | 0.350725i | \(-0.885935\pi\) |
−0.164502 | + | 0.986377i | \(0.552602\pi\) | |||||||
\(312\) | 2.91955 | + | 1.31007i | 0.165287 | + | 0.0741680i | ||||
\(313\) | 3.86930 | − | 6.70183i | 0.218706 | − | 0.378810i | −0.735707 | − | 0.677300i | \(-0.763150\pi\) |
0.954413 | + | 0.298491i | \(0.0964831\pi\) | |||||||
\(314\) | 22.8200 | + | 1.21816i | 1.28781 | + | 0.0687446i | ||||
\(315\) | −1.40530 | − | 5.90754i | −0.0791794 | − | 0.332852i | ||||
\(316\) | −11.4726 | − | 1.22835i | −0.645387 | − | 0.0690999i | ||||
\(317\) | 3.12879 | − | 0.838356i | 0.175730 | − | 0.0470868i | −0.169881 | − | 0.985465i | \(-0.554338\pi\) |
0.345611 | + | 0.938378i | \(0.387672\pi\) | |||||||
\(318\) | −3.91146 | + | 11.9986i | −0.219344 | + | 0.672848i | ||||
\(319\) | 12.4180 | − | 7.16952i | 0.695273 | − | 0.401416i | ||||
\(320\) | −0.402551 | + | 6.91077i | −0.0225033 | + | 0.386324i | ||||
\(321\) | − | 33.2654i | − | 1.85669i | ||||||
\(322\) | −26.4900 | + | 4.82613i | −1.47623 | + | 0.268950i | ||||
\(323\) | −0.326241 | + | 0.326241i | −0.0181525 | + | 0.0181525i | ||||
\(324\) | −16.0314 | − | 11.6951i | −0.890635 | − | 0.649730i | ||||
\(325\) | −0.523602 | + | 1.95411i | −0.0290442 | + | 0.108395i | ||||
\(326\) | −1.98375 | − | 3.90268i | −0.109870 | − | 0.216150i | ||||
\(327\) | −5.73176 | − | 3.30923i | −0.316967 | − | 0.183001i | ||||
\(328\) | −11.3733 | + | 8.21268i | −0.627985 | + | 0.453469i | ||||
\(329\) | −29.1116 | − | 0.822861i | −1.60497 | − | 0.0453658i | ||||
\(330\) | −6.11524 | − | 0.326439i | −0.336633 | − | 0.0179699i | ||||
\(331\) | −4.02175 | + | 1.07762i | −0.221055 | + | 0.0592316i | −0.367647 | − | 0.929966i | \(-0.619836\pi\) |
0.146591 | + | 0.989197i | \(0.453170\pi\) | |||||||
\(332\) | −11.9491 | − | 4.61348i | −0.655794 | − | 0.253198i | ||||
\(333\) | −2.32407 | + | 8.67354i | −0.127358 | + | 0.475307i | ||||
\(334\) | 1.64770 | + | 7.78899i | 0.0901582 | + | 0.426195i | ||||
\(335\) | 9.37062 | 0.511972 | ||||||||
\(336\) | −12.1373 | + | 22.0398i | −0.662145 | + | 1.20237i | ||||
\(337\) | −6.10926 | −0.332793 | −0.166396 | − | 0.986059i | \(-0.553213\pi\) | ||||
−0.166396 | + | 0.986059i | \(0.553213\pi\) | |||||||
\(338\) | −3.73867 | − | 17.6734i | −0.203357 | − | 0.961307i | ||||
\(339\) | 4.14932 | − | 15.4855i | 0.225360 | − | 0.841055i | ||||
\(340\) | 0.0351714 | − | 0.0910957i | 0.00190744 | − | 0.00494036i | ||||
\(341\) | 7.52086 | − | 2.01521i | 0.407278 | − | 0.109130i | ||||
\(342\) | 30.6281 | + | 1.63496i | 1.65618 | + | 0.0884087i | ||||
\(343\) | 18.4537 | + | 1.56817i | 0.996409 | + | 0.0846732i | ||||
\(344\) | −19.7376 | − | 3.18508i | −1.06418 | − | 0.171728i | ||||
\(345\) | −12.8211 | − | 7.40229i | −0.690267 | − | 0.398526i | ||||
\(346\) | −1.12601 | − | 2.21523i | −0.0605346 | − | 0.119091i | ||||
\(347\) | −8.04225 | + | 30.0141i | −0.431730 | + | 1.61124i | 0.317041 | + | 0.948412i | \(0.397311\pi\) |
−0.748772 | + | 0.662828i | \(0.769356\pi\) | |||||||
\(348\) | 19.0904 | − | 26.1687i | 1.02335 | − | 1.40279i | ||||
\(349\) | 5.02028 | − | 5.02028i | 0.268730 | − | 0.268730i | −0.559859 | − | 0.828588i | \(-0.689145\pi\) |
0.828588 | + | 0.559859i | \(0.189145\pi\) | |||||||
\(350\) | −14.9780 | − | 5.35545i | −0.800610 | − | 0.286261i | ||||
\(351\) | − | 0.393269i | − | 0.0209911i | ||||||
\(352\) | 8.37858 | + | 8.46031i | 0.446580 | + | 0.450936i | ||||
\(353\) | 19.5681 | − | 11.2977i | 1.04151 | − | 0.601314i | 0.121247 | − | 0.992622i | \(-0.461311\pi\) |
0.920260 | + | 0.391308i | \(0.127977\pi\) | |||||||
\(354\) | 9.16527 | − | 28.1149i | 0.487129 | − | 1.49429i | ||||
\(355\) | 10.9699 | − | 2.93936i | 0.582219 | − | 0.156005i | ||||
\(356\) | −0.545998 | + | 5.09957i | −0.0289378 | + | 0.270276i | ||||
\(357\) | 0.257959 | − | 0.243777i | 0.0136527 | − | 0.0129021i | ||||
\(358\) | −10.8181 | − | 0.577483i | −0.571755 | − | 0.0305209i | ||||
\(359\) | 5.80528 | − | 10.0550i | 0.306391 | − | 0.530684i | −0.671179 | − | 0.741295i | \(-0.734212\pi\) |
0.977570 | + | 0.210611i | \(0.0675452\pi\) | |||||||
\(360\) | −6.06723 | + | 2.30874i | −0.319771 | + | 0.121681i | ||||
\(361\) | 41.4483 | − | 23.9302i | 2.18149 | − | 1.25948i | ||||
\(362\) | −0.00750982 | − | 0.00488731i | −0.000394707 | − | 0.000256871i | ||||
\(363\) | 11.0441 | − | 11.0441i | 0.579665 | − | 0.579665i | ||||
\(364\) | −2.49783 | + | 0.318637i | −0.130922 | + | 0.0167011i | ||||
\(365\) | −3.29909 | − | 3.29909i | −0.172682 | − | 0.172682i | ||||
\(366\) | −21.1798 | + | 4.48042i | −1.10709 | + | 0.234195i | ||||
\(367\) | 17.1290 | + | 29.6683i | 0.894126 | + | 1.54867i | 0.834883 | + | 0.550428i | \(0.185535\pi\) |
0.0592429 | + | 0.998244i | \(0.481131\pi\) | |||||||
\(368\) | 8.78872 | + | 27.4106i | 0.458144 | + | 1.42888i | ||||
\(369\) | −11.3930 | − | 6.57772i | −0.593093 | − | 0.342423i | ||||
\(370\) | −2.76913 | − | 3.08144i | −0.143960 | − | 0.160196i | ||||
\(371\) | −2.29820 | − | 9.66110i | −0.119317 | − | 0.501579i | ||||
\(372\) | 13.6907 | − | 11.0426i | 0.709830 | − | 0.572531i | ||||
\(373\) | −6.48675 | − | 24.2089i | −0.335871 | − | 1.25349i | −0.902922 | − | 0.429805i | \(-0.858582\pi\) |
0.567050 | − | 0.823683i | \(-0.308085\pi\) | |||||||
\(374\) | −0.0761081 | − | 0.149730i | −0.00393546 | − | 0.00774234i | ||||
\(375\) | −9.51608 | − | 16.4823i | −0.491408 | − | 0.851144i | ||||
\(376\) | 3.16421 | + | 30.9728i | 0.163182 | + | 1.59730i | ||||
\(377\) | 3.24176 | 0.166959 | ||||||||
\(378\) | 3.08189 | + | 0.252007i | 0.158515 | + | 0.0129618i | ||||
\(379\) | −19.0292 | − | 19.0292i | −0.977466 | − | 0.977466i | 0.0222852 | − | 0.999752i | \(-0.492906\pi\) |
−0.999752 | + | 0.0222852i | \(0.992906\pi\) | |||||||
\(380\) | −8.33994 | + | 11.4322i | −0.427830 | + | 0.586460i | ||||
\(381\) | 19.8062 | + | 5.30705i | 1.01470 | + | 0.271888i | ||||
\(382\) | 20.7084 | + | 6.75079i | 1.05953 | + | 0.345401i | ||||
\(383\) | −11.3643 | + | 19.6836i | −0.580690 | + | 1.00578i | 0.414708 | + | 0.909954i | \(0.363884\pi\) |
−0.995398 | + | 0.0958295i | \(0.969450\pi\) | |||||||
\(384\) | 25.0454 | + | 9.80982i | 1.27810 | + | 0.500605i | ||||
\(385\) | 4.23972 | − | 2.29058i | 0.216076 | − | 0.116739i | ||||
\(386\) | −1.46579 | − | 1.63110i | −0.0746066 | − | 0.0830209i | ||||
\(387\) | −4.85252 | − | 18.1099i | −0.246667 | − | 0.920576i | ||||
\(388\) | 7.34045 | + | 16.5734i | 0.372655 | + | 0.841389i | ||||
\(389\) | 26.0671 | + | 6.98465i | 1.32165 | + | 0.354136i | 0.849597 | − | 0.527433i | \(-0.176845\pi\) |
0.472056 | + | 0.881569i | \(0.343512\pi\) | |||||||
\(390\) | −1.16041 | − | 0.755179i | −0.0587595 | − | 0.0382400i | ||||
\(391\) | − | 0.406048i | − | 0.0205347i | ||||||
\(392\) | −0.896413 | − | 19.7787i | −0.0452757 | − | 0.998975i | ||||
\(393\) | 12.8052i | 0.645938i | ||||||||
\(394\) | −1.14739 | + | 1.76308i | −0.0578049 | + | 0.0888228i | ||||
\(395\) | 4.82197 | + | 1.29204i | 0.242620 | + | 0.0650097i | ||||
\(396\) | −4.02176 | + | 10.4166i | −0.202101 | + | 0.523452i | ||||
\(397\) | −6.55093 | − | 24.4484i | −0.328782 | − | 1.22703i | −0.910455 | − | 0.413608i | \(-0.864269\pi\) |
0.581673 | − | 0.813422i | \(-0.302398\pi\) | |||||||
\(398\) | −13.3159 | + | 11.9663i | −0.667464 | + | 0.599815i | ||||
\(399\) | −45.2519 | + | 24.4482i | −2.26543 | + | 1.22394i | ||||
\(400\) | −3.60009 | + | 16.6195i | −0.180004 | + | 0.830975i | ||||
\(401\) | 1.75827 | − | 3.04541i | 0.0878037 | − | 0.152080i | −0.818779 | − | 0.574109i | \(-0.805349\pi\) |
0.906582 | + | 0.422029i | \(0.138682\pi\) | |||||||
\(402\) | 11.2851 | − | 34.6176i | 0.562850 | − | 1.72657i | ||||
\(403\) | 1.70031 | + | 0.455597i | 0.0846986 | + | 0.0226949i | ||||
\(404\) | −2.96646 | − | 18.9677i | −0.147587 | − | 0.943680i | ||||
\(405\) | 6.07093 | + | 6.07093i | 0.301667 | + | 0.301667i | ||||
\(406\) | −2.07732 | + | 25.4044i | −0.103096 | + | 1.26080i | ||||
\(407\) | −7.12595 | −0.353220 | ||||||||
\(408\) | −0.294175 | − | 0.239640i | −0.0145638 | − | 0.0118640i | ||||
\(409\) | −9.33621 | − | 16.1708i | −0.461646 | − | 0.799594i | 0.537397 | − | 0.843329i | \(-0.319408\pi\) |
−0.999043 | + | 0.0437352i | \(0.986074\pi\) | |||||||
\(410\) | 5.41065 | − | 2.75025i | 0.267213 | − | 0.135825i | ||||
\(411\) | 6.62191 | + | 24.7133i | 0.326635 | + | 1.21902i | ||||
\(412\) | −2.73196 | − | 0.292504i | −0.134594 | − | 0.0144106i | ||||
\(413\) | 5.38510 | + | 22.6377i | 0.264983 | + | 1.11393i | ||||
\(414\) | −20.0777 | + | 18.0428i | −0.986765 | + | 0.886754i | ||||
\(415\) | 4.79934 | + | 2.77090i | 0.235590 | + | 0.136018i | ||||
\(416\) | 0.684096 | + | 2.60356i | 0.0335406 | + | 0.127650i | ||||
\(417\) | 22.1985 | + | 38.4490i | 1.08707 | + | 1.88285i | ||||
\(418\) | 5.03754 | + | 23.8134i | 0.246394 | + | 1.16475i | ||||
\(419\) | 2.28986 | + | 2.28986i | 0.111867 | + | 0.111867i | 0.760825 | − | 0.648958i | \(-0.224795\pi\) |
−0.648958 | + | 0.760825i | \(0.724795\pi\) | |||||||
\(420\) | 6.66162 | − | 8.60971i | 0.325054 | − | 0.420111i | ||||
\(421\) | −0.821840 | + | 0.821840i | −0.0400540 | + | 0.0400540i | −0.726850 | − | 0.686796i | \(-0.759017\pi\) |
0.686796 | + | 0.726850i | \(0.259017\pi\) | |||||||
\(422\) | −0.906011 | + | 1.39217i | −0.0441039 | + | 0.0677700i | ||||
\(423\) | −25.2848 | + | 14.5982i | −1.22939 | + | 0.709788i | ||||
\(424\) | −9.92226 | + | 3.77568i | −0.481867 | + | 0.183363i | ||||
\(425\) | 0.119937 | − | 0.207738i | 0.00581782 | − | 0.0100768i | ||||
\(426\) | 2.35227 | − | 44.0655i | 0.113968 | − | 2.13498i | ||||
\(427\) | 12.3812 | − | 11.7005i | 0.599168 | − | 0.566228i | ||||
\(428\) | 21.7816 | − | 17.5685i | 1.05286 | − | 0.849207i | ||||
\(429\) | −2.30027 | + | 0.616355i | −0.111058 | + | 0.0297579i | ||||
\(430\) | 8.22410 | + | 2.68100i | 0.396601 | + | 0.129289i | ||||
\(431\) | −17.6989 | + | 10.2185i | −0.852528 | + | 0.492207i | −0.861503 | − | 0.507753i | \(-0.830476\pi\) |
0.00897512 | + | 0.999960i | \(0.497143\pi\) | |||||||
\(432\) | −0.160187 | − | 3.30179i | −0.00770699 | − | 0.158857i | ||||
\(433\) | 34.7460i | 1.66979i | 0.550413 | + | 0.834893i | \(0.314470\pi\) | ||||
−0.550413 | + | 0.834893i | \(0.685530\pi\) | |||||||
\(434\) | −4.65989 | + | 13.0327i | −0.223682 | + | 0.625590i | ||||
\(435\) | −9.90979 | + | 9.90979i | −0.475138 | + | 0.475138i | ||||
\(436\) | −0.860293 | − | 5.50077i | −0.0412006 | − | 0.263439i | ||||
\(437\) | −15.2296 | + | 56.8376i | −0.728531 | + | 2.71891i | ||||
\(438\) | −16.1609 | + | 8.21462i | −0.772196 | + | 0.392510i | ||||
\(439\) | −28.2441 | − | 16.3067i | −1.34802 | − | 0.778278i | −0.360049 | − | 0.932933i | \(-0.617240\pi\) |
−0.987969 | + | 0.154655i | \(0.950573\pi\) | |||||||
\(440\) | −3.01591 | − | 4.17656i | −0.143778 | − | 0.199110i | ||||
\(441\) | 16.5780 | − | 8.36030i | 0.789429 | − | 0.398110i | ||||
\(442\) | 0.00202416 | − | 0.0379189i | 9.62793e−5 | − | 0.00180362i | ||||
\(443\) | 13.3378 | − | 3.57386i | 0.633699 | − | 0.169799i | 0.0723511 | − | 0.997379i | \(-0.476950\pi\) |
0.561347 | + | 0.827580i | \(0.310283\pi\) | |||||||
\(444\) | −14.7185 | + | 6.51891i | −0.698511 | + | 0.309374i | ||||
\(445\) | 0.574310 | − | 2.14335i | 0.0272249 | − | 0.101605i | ||||
\(446\) | −5.80676 | + | 1.22837i | −0.274958 | + | 0.0581652i | ||||
\(447\) | 9.60138 | 0.454130 | ||||||||
\(448\) | −20.8414 | + | 3.69262i | −0.984664 | + | 0.174460i | ||||
\(449\) | −17.6685 | −0.833830 | −0.416915 | − | 0.908946i | \(-0.636889\pi\) | ||||
−0.416915 | + | 0.908946i | \(0.636889\pi\) | |||||||
\(450\) | −15.6014 | + | 3.30035i | −0.735456 | + | 0.155580i | ||||
\(451\) | 2.70204 | − | 10.0842i | 0.127234 | − | 0.474844i | ||||
\(452\) | 12.3310 | − | 5.46146i | 0.580002 | − | 0.256886i | ||||
\(453\) | 18.1361 | − | 4.85955i | 0.852107 | − | 0.228321i | ||||
\(454\) | 0.969591 | − | 18.1635i | 0.0455052 | − | 0.852457i | ||||
\(455\) | 1.08902 | + | 0.0307821i | 0.0510542 | + | 0.00144309i | ||||
\(456\) | 32.1898 | + | 44.5779i | 1.50743 | + | 2.08755i | ||||
\(457\) | 3.51049 | + | 2.02678i | 0.164214 | + | 0.0948090i | 0.579855 | − | 0.814720i | \(-0.303109\pi\) |
−0.415641 | + | 0.909529i | \(0.636443\pi\) | |||||||
\(458\) | −25.5080 | + | 12.9658i | −1.19191 | + | 0.605852i | ||||
\(459\) | −0.0120688 | + | 0.0450415i | −0.000563325 | + | 0.00210236i | ||||
\(460\) | −1.92435 | − | 12.3044i | −0.0897235 | − | 0.573698i | ||||
\(461\) | 2.39386 | − | 2.39386i | 0.111493 | − | 0.111493i | −0.649159 | − | 0.760653i | \(-0.724879\pi\) |
0.760653 | + | 0.649159i | \(0.224879\pi\) | |||||||
\(462\) | −3.35611 | − | 18.4212i | −0.156140 | − | 0.857033i | ||||
\(463\) | 30.7630i | 1.42968i | 0.699289 | + | 0.714839i | \(0.253500\pi\) | ||||
−0.699289 | + | 0.714839i | \(0.746500\pi\) | |||||||
\(464\) | 27.2170 | − | 1.32044i | 1.26352 | − | 0.0612998i | ||||
\(465\) | −6.59043 | + | 3.80499i | −0.305624 | + | 0.176452i | ||||
\(466\) | −30.8325 | − | 10.0512i | −1.42829 | − | 0.465612i | ||||
\(467\) | 6.95118 | − | 1.86256i | 0.321662 | − | 0.0861891i | −0.0943750 | − | 0.995537i | \(-0.530085\pi\) |
0.416037 | + | 0.909348i | \(0.363419\pi\) | |||||||
\(468\) | −1.96491 | + | 1.58484i | −0.0908279 | + | 0.0732595i | ||||
\(469\) | 6.63062 | + | 27.8736i | 0.306174 | + | 1.28708i | ||||
\(470\) | 0.718038 | − | 13.4511i | 0.0331206 | − | 0.620455i | ||||
\(471\) | −19.2090 | + | 33.2709i | −0.885103 | + | 1.53304i | ||||
\(472\) | 23.2496 | − | 8.84711i | 1.07015 | − | 0.407221i | ||||
\(473\) | 12.8852 | − | 7.43929i | 0.592463 | − | 0.342059i | ||||
\(474\) | 10.5803 | − | 16.2576i | 0.485969 | − | 0.746738i | ||||
\(475\) | −24.5802 | + | 24.5802i | −1.12782 | + | 1.12782i | ||||
\(476\) | 0.295858 | + | 0.0401610i | 0.0135606 | + | 0.00184077i | ||||
\(477\) | −7.03969 | − | 7.03969i | −0.322325 | − | 0.322325i | ||||
\(478\) | −1.50140 | − | 7.09738i | −0.0686722 | − | 0.324627i | ||||
\(479\) | 1.42754 | + | 2.47257i | 0.0652259 | + | 0.112975i | 0.896794 | − | 0.442448i | \(-0.145890\pi\) |
−0.831568 | + | 0.555423i | \(0.812557\pi\) | |||||||
\(480\) | −10.0501 | − | 5.86764i | −0.458722 | − | 0.267820i | ||||
\(481\) | −1.39519 | − | 0.805515i | −0.0636153 | − | 0.0367283i | ||||
\(482\) | 17.8299 | − | 16.0228i | 0.812128 | − | 0.729817i | ||||
\(483\) | 12.9464 | − | 43.3752i | 0.589084 | − | 1.97364i | ||||
\(484\) | 13.0642 | + | 1.39876i | 0.593829 | + | 0.0635798i | ||||
\(485\) | −2.02977 | − | 7.57520i | −0.0921670 | − | 0.343972i | ||||
\(486\) | 26.6133 | − | 13.5276i | 1.20721 | − | 0.613626i | ||||
\(487\) | −16.6053 | − | 28.7612i | −0.752457 | − | 1.30329i | −0.946629 | − | 0.322326i | \(-0.895535\pi\) |
0.194172 | − | 0.980968i | \(-0.437798\pi\) | |||||||
\(488\) | −14.1194 | − | 11.5019i | −0.639157 | − | 0.520668i | ||||
\(489\) | 7.35986 | 0.332824 | ||||||||
\(490\) | −0.939073 | + | 8.51450i | −0.0424230 | + | 0.384646i | ||||
\(491\) | −23.0686 | − | 23.0686i | −1.04107 | − | 1.04107i | −0.999120 | − | 0.0419533i | \(-0.986642\pi\) |
−0.0419533 | − | 0.999120i | \(-0.513358\pi\) | |||||||
\(492\) | −3.64409 | − | 23.3005i | −0.164288 | − | 1.05047i | ||||
\(493\) | −0.371282 | − | 0.0994848i | −0.0167217 | − | 0.00448057i | ||||
\(494\) | −1.70556 | + | 5.23189i | −0.0767367 | + | 0.235394i | ||||
\(495\) | 2.41551 | − | 4.18379i | 0.108569 | − | 0.188047i | ||||
\(496\) | 14.4610 | + | 3.13251i | 0.649317 | + | 0.140654i | ||||
\(497\) | 16.5056 | + | 30.5507i | 0.740376 | + | 1.37039i | ||||
\(498\) | 16.0163 | − | 14.3931i | 0.717710 | − | 0.644968i | ||||
\(499\) | 5.37586 | + | 20.0630i | 0.240657 | + | 0.898143i | 0.975517 | + | 0.219924i | \(0.0705811\pi\) |
−0.734860 | + | 0.678219i | \(0.762752\pi\) | |||||||
\(500\) | 5.76661 | − | 14.9358i | 0.257891 | − | 0.667950i | ||||
\(501\) | −12.9280 | − | 3.46406i | −0.577582 | − | 0.154763i | ||||
\(502\) | −1.78659 | + | 2.74527i | −0.0797393 | + | 0.122527i | ||||
\(503\) | 0.960903i | 0.0428445i | 0.999771 | + | 0.0214223i | \(0.00681944\pi\) | ||||
−0.999771 | + | 0.0214223i | \(0.993181\pi\) | |||||||
\(504\) | −11.1607 | − | 16.4138i | −0.497136 | − | 0.731127i | ||||
\(505\) | 8.30624i | 0.369623i | ||||||||
\(506\) | −17.9543 | − | 11.6845i | −0.798166 | − | 0.519438i | ||||
\(507\) | 29.3340 | + | 7.86003i | 1.30277 | + | 0.349076i | ||||
\(508\) | 6.98530 | + | 15.7716i | 0.309922 | + | 0.699750i | ||||
\(509\) | 0.708005 | + | 2.64231i | 0.0313818 | + | 0.117118i | 0.979840 | − | 0.199784i | \(-0.0640240\pi\) |
−0.948458 | + | 0.316902i | \(0.897357\pi\) | |||||||
\(510\) | 0.109727 | + | 0.122103i | 0.00485880 | + | 0.00540679i | ||||
\(511\) | 7.47896 | − | 12.1478i | 0.330850 | − | 0.537388i | ||||
\(512\) | 6.80399 | + | 21.5802i | 0.300697 | + | 0.953720i | ||||
\(513\) | 3.37874 | − | 5.85215i | 0.149175 | − | 0.258379i | ||||
\(514\) | 10.8829 | + | 3.54774i | 0.480023 | + | 0.156484i | ||||
\(515\) | 1.14825 | + | 0.307672i | 0.0505978 | + | 0.0135576i | ||||
\(516\) | 19.8087 | − | 27.1533i | 0.872029 | − | 1.19536i | ||||
\(517\) | −16.3834 | − | 16.3834i | −0.720541 | − | 0.720541i | ||||
\(518\) | 7.20654 | − | 10.4174i | 0.316637 | − | 0.457714i | ||||
\(519\) | 4.17758 | 0.183375 | ||||||||
\(520\) | −0.118369 | − | 1.15865i | −0.00519081 | − | 0.0508101i | ||||
\(521\) | −19.6749 | − | 34.0779i | −0.861972 | − | 1.49298i | −0.870023 | − | 0.493012i | \(-0.835896\pi\) |
0.00805046 | − | 0.999968i | \(-0.497437\pi\) | |||||||
\(522\) | 11.5788 | + | 22.7793i | 0.506790 | + | 0.997023i | ||||
\(523\) | −1.01736 | − | 3.79685i | −0.0444861 | − | 0.166025i | 0.940109 | − | 0.340874i | \(-0.110723\pi\) |
−0.984595 | + | 0.174849i | \(0.944056\pi\) | |||||||
\(524\) | −8.38465 | + | 6.76285i | −0.366285 | + | 0.295436i | ||||
\(525\) | 19.4356 | − | 18.3671i | 0.848239 | − | 0.801605i | ||||
\(526\) | −14.0246 | − | 15.6064i | −0.611503 | − | 0.680470i | ||||
\(527\) | −0.180757 | − | 0.104360i | −0.00787390 | − | 0.00454600i | ||||
\(528\) | −19.0614 | + | 6.11171i | −0.829542 | + | 0.265978i | ||||
\(529\) | −14.3932 | − | 24.9297i | −0.625791 | − | 1.08390i | ||||
\(530\) | 4.49377 | − | 0.950622i | 0.195197 | − | 0.0412924i | ||||
\(531\) | 16.4953 | + | 16.4953i | 0.715834 | + | 0.715834i | ||||
\(532\) | −39.9072 | − | 16.7184i | −1.73020 | − | 0.724833i | ||||
\(533\) | 1.66894 | − | 1.66894i | 0.0722900 | − | 0.0722900i | ||||
\(534\) | −7.22648 | − | 4.70291i | −0.312720 | − | 0.203515i | ||||
\(535\) | −10.4853 | + | 6.05367i | −0.453317 | + | 0.261723i | ||||
\(536\) | 28.6271 | − | 10.8934i | 1.23650 | − | 0.470521i | ||||
\(537\) | 9.10627 | − | 15.7725i | 0.392964 | − | 0.680634i | ||||
\(538\) | 0.342225 | + | 0.0182684i | 0.0147544 | + | 0.000787607i | ||||
\(539\) | 9.81351 | + | 10.9905i | 0.422698 | + | 0.473396i | ||||
\(540\) | −0.152259 | + | 1.42209i | −0.00655220 | + | 0.0611970i | ||||
\(541\) | 36.9465 | − | 9.89977i | 1.58845 | − | 0.425624i | 0.646923 | − | 0.762556i | \(-0.276056\pi\) |
0.941529 | + | 0.336931i | \(0.109389\pi\) | |||||||
\(542\) | −9.83106 | + | 30.1573i | −0.422280 | + | 1.29537i | ||||
\(543\) | 0.0130450 | − | 0.00753154i | 0.000559815 | − | 0.000323209i | ||||
\(544\) | 0.00154915 | − | 0.319182i | 6.64193e−5 | − | 0.0136848i | ||||
\(545\) | 2.40887i | 0.103185i | ||||||||
\(546\) | 1.42524 | − | 3.98607i | 0.0609944 | − | 0.170588i | ||||
\(547\) | 17.4654 | − | 17.4654i | 0.746767 | − | 0.746767i | −0.227104 | − | 0.973871i | \(-0.572926\pi\) |
0.973871 | + | 0.227104i | \(0.0729256\pi\) | |||||||
\(548\) | −12.6846 | + | 17.3878i | −0.541861 | + | 0.742770i | ||||
\(549\) | 4.42009 | − | 16.4960i | 0.188645 | − | 0.704033i | ||||
\(550\) | −5.73426 | − | 11.2812i | −0.244510 | − | 0.481031i | ||||
\(551\) | 48.2399 | + | 27.8513i | 2.05509 | + | 1.18651i | ||||
\(552\) | −47.7735 | − | 7.70925i | −2.03337 | − | 0.328128i | ||||
\(553\) | −0.431266 | + | 15.2575i | −0.0183393 | + | 0.648816i | ||||
\(554\) | 27.4847 | + | 1.46717i | 1.16771 | + | 0.0623340i | ||||
\(555\) | 6.72738 | − | 1.80260i | 0.285561 | − | 0.0765159i | ||||
\(556\) | −13.4520 | + | 34.8413i | −0.570492 | + | 1.47760i | ||||
\(557\) | −5.98690 | + | 22.3434i | −0.253673 | + | 0.946721i | 0.715151 | + | 0.698970i | \(0.246358\pi\) |
−0.968824 | + | 0.247751i | \(0.920309\pi\) | |||||||
\(558\) | 2.87170 | + | 13.5751i | 0.121569 | + | 0.574679i | ||||
\(559\) | 3.36374 | 0.142271 | ||||||||
\(560\) | 9.15571 | − | 0.185143i | 0.386899 | − | 0.00782373i | ||||
\(561\) | 0.282367 | 0.0119215 | ||||||||
\(562\) | 3.62513 | + | 17.1367i | 0.152917 | + | 0.722867i | ||||
\(563\) | −4.46869 | + | 16.6774i | −0.188333 | + | 0.702868i | 0.805560 | + | 0.592515i | \(0.201865\pi\) |
−0.993892 | + | 0.110353i | \(0.964802\pi\) | |||||||
\(564\) | −48.8274 | − | 18.8519i | −2.05600 | − | 0.793809i | ||||
\(565\) | −5.63612 | + | 1.51019i | −0.237113 | + | 0.0635343i | ||||
\(566\) | −5.33626 | − | 0.284856i | −0.224300 | − | 0.0119734i | ||||
\(567\) | −13.7626 | + | 22.3542i | −0.577977 | + | 0.938787i | ||||
\(568\) | 30.0957 | − | 21.7322i | 1.26279 | − | 0.911861i | ||||
\(569\) | −18.2857 | − | 10.5573i | −0.766577 | − | 0.442583i | 0.0650753 | − | 0.997880i | \(-0.479271\pi\) |
−0.831652 | + | 0.555297i | \(0.812605\pi\) | |||||||
\(570\) | −10.7797 | − | 21.2072i | −0.451511 | − | 0.888271i | ||||
\(571\) | 3.41504 | − | 12.7451i | 0.142915 | − | 0.533366i | −0.856924 | − | 0.515442i | \(-0.827628\pi\) |
0.999839 | − | 0.0179237i | \(-0.00570561\pi\) | |||||||
\(572\) | −1.61842 | − | 1.18066i | −0.0676697 | − | 0.0493659i | ||||
\(573\) | −25.8919 | + | 25.8919i | −1.08165 | + | 1.08165i | ||||
\(574\) | 12.0094 | + | 14.1483i | 0.501262 | + | 0.590539i | ||||
\(575\) | − | 30.5931i | − | 1.27582i | ||||||
\(576\) | −15.8513 | + | 14.1063i | −0.660473 | + | 0.587763i | ||||
\(577\) | 21.7205 | − | 12.5403i | 0.904235 | − | 0.522061i | 0.0256635 | − | 0.999671i | \(-0.491830\pi\) |
0.878572 | + | 0.477610i | \(0.158497\pi\) | |||||||
\(578\) | 7.45007 | − | 22.8534i | 0.309882 | − | 0.950578i | ||||
\(579\) | 3.56101 | − | 0.954171i | 0.147991 | − | 0.0396540i | ||||
\(580\) | −11.7224 | − | 1.25509i | −0.486748 | − | 0.0521149i | ||||
\(581\) | −4.84625 | + | 16.2367i | −0.201056 | + | 0.673611i | ||||
\(582\) | −30.4293 | − | 1.62435i | −1.26133 | − | 0.0673315i | ||||
\(583\) | 3.95029 | − | 6.84210i | 0.163604 | − | 0.283371i | ||||
\(584\) | −13.9139 | − | 6.24346i | −0.575760 | − | 0.258356i | ||||
\(585\) | 0.945868 | − | 0.546097i | 0.0391068 | − | 0.0225783i | ||||
\(586\) | 4.75723 | + | 3.09595i | 0.196520 | + | 0.127893i | ||||
\(587\) | −0.705313 | + | 0.705313i | −0.0291114 | + | 0.0291114i | −0.721513 | − | 0.692401i | \(-0.756553\pi\) |
0.692401 | + | 0.721513i | \(0.256553\pi\) | |||||||
\(588\) | 30.3239 | + | 13.7233i | 1.25054 | + | 0.565938i | ||||
\(589\) | 21.3877 | + | 21.3877i | 0.881266 | + | 0.881266i | ||||
\(590\) | −10.5297 | + | 2.22748i | −0.433502 | + | 0.0917039i | ||||
\(591\) | −1.76818 | − | 3.06258i | −0.0727333 | − | 0.125978i | ||||
\(592\) | −12.0418 | − | 6.19462i | −0.494915 | − | 0.254597i | ||||
\(593\) | −37.2581 | − | 21.5110i | −1.53001 | − | 0.883350i | −0.999361 | − | 0.0357564i | \(-0.988616\pi\) |
−0.530646 | − | 0.847593i | \(-0.678051\pi\) | |||||||
\(594\) | 1.64432 | + | 1.82977i | 0.0674672 | + | 0.0750763i | ||||
\(595\) | −0.123782 | − | 0.0369460i | −0.00507458 | − | 0.00151464i | ||||
\(596\) | 5.07079 | + | 6.28682i | 0.207708 | + | 0.257518i | ||||
\(597\) | −7.78959 | − | 29.0711i | −0.318807 | − | 1.18980i | ||||
\(598\) | −2.19448 | − | 4.31726i | −0.0897388 | − | 0.176546i | ||||
\(599\) | −11.7482 | − | 20.3485i | −0.480019 | − | 0.831418i | 0.519718 | − | 0.854338i | \(-0.326037\pi\) |
−0.999737 | + | 0.0229200i | \(0.992704\pi\) | |||||||
\(600\) | −22.1642 | − | 18.0553i | −0.904850 | − | 0.737106i | ||||
\(601\) | −42.4771 | −1.73268 | −0.866339 | − | 0.499456i | \(-0.833533\pi\) | ||||
−0.866339 | + | 0.499456i | \(0.833533\pi\) | |||||||
\(602\) | −2.15549 | + | 26.3603i | −0.0878511 | + | 1.07436i | ||||
\(603\) | 20.3105 | + | 20.3105i | 0.827107 | + | 0.827107i | ||||
\(604\) | 12.7602 | + | 9.30872i | 0.519205 | + | 0.378767i | ||||
\(605\) | −5.49092 | − | 1.47129i | −0.223238 | − | 0.0598163i | ||||
\(606\) | 30.6855 | + | 10.0033i | 1.24651 | + | 0.406355i | ||||
\(607\) | 10.5533 | − | 18.2788i | 0.428345 | − | 0.741915i | −0.568382 | − | 0.822765i | \(-0.692430\pi\) |
0.996726 | + | 0.0808504i | \(0.0257636\pi\) | |||||||
\(608\) | −12.1884 | + | 44.6203i | −0.494305 | + | 1.80959i | ||||
\(609\) | −36.4895 | − | 22.4653i | −1.47863 | − | 0.910338i | ||||
\(610\) | 5.26655 | + | 5.86052i | 0.213236 | + | 0.237286i | ||||
\(611\) | −1.35574 | − | 5.05969i | −0.0548473 | − | 0.204693i | ||||
\(612\) | 0.273679 | − | 0.121214i | 0.0110628 | − | 0.00489978i | ||||
\(613\) | 10.7862 | + | 2.89016i | 0.435652 | + | 0.116733i | 0.469978 | − | 0.882678i | \(-0.344262\pi\) |
−0.0343262 | + | 0.999411i | \(0.510929\pi\) | |||||||
\(614\) | 29.3821 | + | 19.1216i | 1.18577 | + | 0.771683i | ||||
\(615\) | 10.2036i | 0.411451i | ||||||||
\(616\) | 10.2894 | − | 11.9264i | 0.414573 | − | 0.480526i | ||||
\(617\) | 18.9275i | 0.761992i | 0.924577 | + | 0.380996i | \(0.124419\pi\) | ||||
−0.924577 | + | 0.380996i | \(0.875581\pi\) | |||||||
\(618\) | 2.51946 | − | 3.87140i | 0.101348 | − | 0.155731i | ||||
\(619\) | −8.20013 | − | 2.19722i | −0.329591 | − | 0.0883137i | 0.0902289 | − | 0.995921i | \(-0.471240\pi\) |
−0.419820 | + | 0.907607i | \(0.637907\pi\) | |||||||
\(620\) | −5.97206 | − | 2.30577i | −0.239844 | − | 0.0926020i | ||||
\(621\) | 1.53923 | + | 5.74449i | 0.0617672 | + | 0.230518i | ||||
\(622\) | 23.5829 | − | 21.1927i | 0.945588 | − | 0.849750i | ||||
\(623\) | 6.78194 | + | 0.191697i | 0.271713 | + | 0.00768017i | ||||
\(624\) | −4.42291 | − | 0.958083i | −0.177058 | − | 0.0383540i | ||||
\(625\) | 7.16461 | − | 12.4095i | 0.286584 | − | 0.496379i | ||||
\(626\) | −3.39200 | + | 10.4051i | −0.135571 | + | 0.415872i | ||||
\(627\) | −39.5251 | − | 10.5907i | −1.57848 | − | 0.422953i | ||||
\(628\) | −31.9301 | + | 4.99371i | −1.27415 | + | 0.199271i | ||||
\(629\) | 0.135073 | + | 0.135073i | 0.00538571 | + | 0.00538571i | ||||
\(630\) | 3.67343 | + | 7.76232i | 0.146353 | + | 0.309258i | ||||
\(631\) | 8.88067 | 0.353534 | 0.176767 | − | 0.984253i | \(-0.443436\pi\) | ||||
0.176767 | + | 0.984253i | \(0.443436\pi\) | |||||||
\(632\) | 16.2330 | − | 1.65838i | 0.645715 | − | 0.0659668i | ||||
\(633\) | −1.39620 | − | 2.41829i | −0.0554940 | − | 0.0961184i | ||||
\(634\) | −4.08360 | + | 2.07571i | −0.162180 | + | 0.0824368i | ||||
\(635\) | −1.93156 | − | 7.20868i | −0.0766516 | − | 0.286068i | ||||
\(636\) | 1.90002 | − | 17.7460i | 0.0753409 | − | 0.703676i | ||||
\(637\) | 0.679025 | + | 3.26116i | 0.0269040 | + | 0.129212i | ||||
\(638\) | −15.0830 | + | 13.5543i | −0.597142 | + | 0.536620i | ||||
\(639\) | 30.1477 | + | 17.4058i | 1.19263 | + | 0.688563i | ||||
\(640\) | −1.46574 | − | 9.67952i | −0.0579383 | − | 0.382617i | ||||
\(641\) | 1.02617 | + | 1.77738i | 0.0405314 | + | 0.0702024i | 0.885579 | − | 0.464488i | \(-0.153762\pi\) |
−0.845048 | + | 0.534690i | \(0.820428\pi\) | |||||||
\(642\) | 9.73641 | + | 46.0259i | 0.384266 | + | 1.81650i | ||||
\(643\) | 20.1070 | + | 20.1070i | 0.792942 | + | 0.792942i | 0.981971 | − | 0.189029i | \(-0.0605340\pi\) |
−0.189029 | + | 0.981971i | \(0.560534\pi\) | |||||||
\(644\) | 35.2388 | − | 14.4307i | 1.38860 | − | 0.568650i | ||||
\(645\) | −10.2827 | + | 10.2827i | −0.404880 | + | 0.404880i | ||||
\(646\) | 0.355898 | − | 0.546872i | 0.0140026 | − | 0.0215164i | ||||
\(647\) | 10.6872 | − | 6.17028i | 0.420159 | − | 0.242579i | −0.274987 | − | 0.961448i | \(-0.588673\pi\) |
0.695145 | + | 0.718869i | \(0.255340\pi\) | |||||||
\(648\) | 25.6040 | + | 11.4891i | 1.00582 | + | 0.451335i | ||||
\(649\) | −9.25625 | + | 16.0323i | −0.363339 | + | 0.629322i | ||||
\(650\) | 0.152507 | − | 2.85695i | 0.00598183 | − | 0.112059i | ||||
\(651\) | −15.9816 | − | 16.9113i | −0.626368 | − | 0.662807i | ||||
\(652\) | 3.88697 | + | 4.81911i | 0.152226 | + | 0.188731i | ||||
\(653\) | −41.2170 | + | 11.0441i | −1.61294 | + | 0.432187i | −0.948918 | − | 0.315522i | \(-0.897820\pi\) |
−0.664026 | + | 0.747709i | \(0.731154\pi\) | |||||||
\(654\) | 8.89901 | + | 2.90102i | 0.347979 | + | 0.113439i | ||||
\(655\) | 4.03621 | − | 2.33030i | 0.157708 | − | 0.0910525i | ||||
\(656\) | 13.3323 | − | 14.6918i | 0.520537 | − | 0.573620i | ||||
\(657\) | − | 14.3013i | − | 0.557948i | ||||||
\(658\) | 40.5195 | − | 7.38212i | 1.57961 | − | 0.287785i | ||||
\(659\) | 19.4114 | − | 19.4114i | 0.756162 | − | 0.756162i | −0.219460 | − | 0.975622i | \(-0.570429\pi\) |
0.975622 | + | 0.219460i | \(0.0704294\pi\) | |||||||
\(660\) | 8.55656 | − | 1.33820i | 0.333064 | − | 0.0520895i | ||||
\(661\) | 8.55633 | − | 31.9327i | 0.332803 | − | 1.24204i | −0.573429 | − | 0.819255i | \(-0.694387\pi\) |
0.906232 | − | 0.422782i | \(-0.138946\pi\) | |||||||
\(662\) | 5.24906 | − | 2.66811i | 0.204010 | − | 0.103699i | ||||
\(663\) | 0.0552848 | + | 0.0319187i | 0.00214708 | + | 0.00123962i | ||||
\(664\) | 17.8831 | + | 2.88581i | 0.693998 | + | 0.111991i | ||||
\(665\) | 15.9410 | + | 9.81431i | 0.618167 | + | 0.380583i | ||||
\(666\) | 0.676921 | − | 12.6809i | 0.0262302 | − | 0.491374i | ||||
\(667\) | −47.3525 | + | 12.6881i | −1.83350 | + | 0.491284i | ||||
\(668\) | −4.55950 | − | 10.2945i | −0.176412 | − | 0.398308i | ||||
\(669\) | 2.58248 | − | 9.63796i | 0.0998446 | − | 0.372625i | ||||
\(670\) | −12.9651 | + | 2.74267i | −0.500887 | + | 0.105959i | ||||
\(671\) | 13.5527 | 0.523196 | ||||||||
\(672\) | 10.3423 | − | 34.0466i | 0.398964 | − | 1.31338i | ||||
\(673\) | −2.56169 | −0.0987460 | −0.0493730 | − | 0.998780i | \(-0.515722\pi\) | ||||
−0.0493730 | + | 0.998780i | \(0.515722\pi\) | |||||||
\(674\) | 8.45274 | − | 1.78811i | 0.325587 | − | 0.0688755i | ||||
\(675\) | −0.909309 | + | 3.39359i | −0.0349993 | + | 0.130619i | ||||
\(676\) | 10.3456 | + | 23.3586i | 0.397908 | + | 0.898406i | ||||
\(677\) | −23.2260 | + | 6.22338i | −0.892646 | + | 0.239184i | −0.675855 | − | 0.737034i | \(-0.736226\pi\) |
−0.216791 | + | 0.976218i | \(0.569559\pi\) | |||||||
\(678\) | −1.20855 | + | 22.6401i | −0.0464142 | + | 0.869487i | ||||
\(679\) | 21.0967 | − | 11.3979i | 0.809617 | − | 0.437410i | ||||
\(680\) | −0.0220003 | + | 0.136334i | −0.000843674 | + | 0.00522816i | ||||
\(681\) | 26.4820 | + | 15.2894i | 1.01479 | + | 0.585890i | ||||
\(682\) | −9.81600 | + | 4.98950i | −0.375874 | + | 0.191058i | ||||
\(683\) | −3.72504 | + | 13.9020i | −0.142535 | + | 0.531946i | 0.857318 | + | 0.514787i | \(0.172129\pi\) |
−0.999853 | + | 0.0171593i | \(0.994538\pi\) | |||||||
\(684\) | −42.8554 | + | 6.70237i | −1.63862 | + | 0.256271i | ||||
\(685\) | 6.58458 | − | 6.58458i | 0.251584 | − | 0.251584i | ||||
\(686\) | −25.9915 | + | 3.23149i | −0.992360 | + | 0.123379i | ||||
\(687\) | − | 48.1041i | − | 1.83529i | ||||||
\(688\) | 28.2411 | − | 1.37012i | 1.07668 | − | 0.0522354i | ||||
\(689\) | 1.54686 | − | 0.893079i | 0.0589306 | − | 0.0340236i | ||||
\(690\) | 19.9058 | + | 6.48916i | 0.757801 | + | 0.247038i | ||||
\(691\) | −42.5057 | + | 11.3894i | −1.61699 | + | 0.433272i | −0.950116 | − | 0.311897i | \(-0.899036\pi\) |
−0.666876 | + | 0.745169i | \(0.732369\pi\) | |||||||
\(692\) | 2.20631 | + | 2.73541i | 0.0838713 | + | 0.103985i | ||||
\(693\) | 14.1542 | + | 4.22468i | 0.537673 | + | 0.160482i | ||||
\(694\) | 2.34243 | − | 43.8812i | 0.0889174 | − | 1.66571i | ||||
\(695\) | 8.07940 | − | 13.9939i | 0.306469 | − | 0.530820i | ||||
\(696\) | −18.7541 | + | 41.7943i | −0.710871 | + | 1.58421i | ||||
\(697\) | −0.242363 | + | 0.139929i | −0.00918017 | + | 0.00530017i | ||||
\(698\) | −5.47666 | + | 8.41542i | −0.207294 | + | 0.318528i | ||||
\(699\) | 38.5501 | − | 38.5501i | 1.45810 | − | 1.45810i | ||||
\(700\) | 22.2910 | + | 3.02587i | 0.842521 | + | 0.114367i | ||||
\(701\) | 15.8844 | + | 15.8844i | 0.599946 | + | 0.599946i | 0.940298 | − | 0.340352i | \(-0.110546\pi\) |
−0.340352 | + | 0.940298i | \(0.610546\pi\) | |||||||
\(702\) | 0.115105 | + | 0.544125i | 0.00434437 | + | 0.0205367i | ||||
\(703\) | −13.8410 | − | 23.9734i | −0.522024 | − | 0.904173i | ||||
\(704\) | −14.0688 | − | 9.25332i | −0.530238 | − | 0.348748i | ||||
\(705\) | 19.6114 | + | 11.3227i | 0.738609 | + | 0.426436i | ||||
\(706\) | −23.7677 | + | 21.3588i | −0.894508 | + | 0.803848i | ||||
\(707\) | −24.7075 | + | 5.87747i | −0.929222 | + | 0.221045i | ||||
\(708\) | −4.45210 | + | 41.5822i | −0.167320 | + | 1.56275i | ||||
\(709\) | 6.78844 | + | 25.3348i | 0.254945 | + | 0.951469i | 0.968121 | + | 0.250483i | \(0.0805895\pi\) |
−0.713176 | + | 0.700985i | \(0.752744\pi\) | |||||||
\(710\) | −14.3175 | + | 7.27764i | −0.537327 | + | 0.273125i | ||||
\(711\) | 7.65098 | + | 13.2519i | 0.286934 | + | 0.496985i | ||||
\(712\) | −0.737146 | − | 7.21554i | −0.0276257 | − | 0.270414i | ||||
\(713\) | −26.6197 | −0.996916 | ||||||||
\(714\) | −0.285560 | + | 0.412791i | −0.0106868 | + | 0.0154483i | ||||
\(715\) | 0.612879 | + | 0.612879i | 0.0229204 | + | 0.0229204i | ||||
\(716\) | 15.1369 | − | 2.36733i | 0.565692 | − | 0.0884714i | ||||
\(717\) | 11.7801 | + | 3.15647i | 0.439936 | + | 0.117881i | ||||
\(718\) | −5.08915 | + | 15.6112i | −0.189926 | + | 0.582606i | ||||
\(719\) | −7.85533 | + | 13.6058i | −0.292954 | + | 0.507412i | −0.974507 | − | 0.224357i | \(-0.927972\pi\) |
0.681553 | + | 0.731769i | \(0.261305\pi\) | |||||||
\(720\) | 7.71884 | − | 4.97017i | 0.287664 | − | 0.185227i | ||||
\(721\) | −0.102697 | + | 3.63325i | −0.00382462 | + | 0.135309i | ||||
\(722\) | −50.3436 | + | 45.2411i | −1.87359 | + | 1.68370i | ||||
\(723\) | 10.4302 | + | 38.9260i | 0.387903 | + | 1.44768i | ||||
\(724\) | 0.0118210 | + | 0.00456401i | 0.000439324 | + | 0.000169620i | ||||
\(725\) | −27.9737 | − | 7.49554i | −1.03892 | − | 0.278377i | ||||
\(726\) | −12.0481 | + | 18.5131i | −0.447146 | + | 0.687084i | ||||
\(727\) | − | 24.4125i | − | 0.905411i | −0.891660 | − | 0.452705i | \(-0.850459\pi\) | ||
0.891660 | − | 0.452705i | \(-0.149541\pi\) | |||||||
\(728\) | 3.36273 | − | 1.17195i | 0.124631 | − | 0.0434354i | ||||
\(729\) | 20.4227i | 0.756395i | ||||||||
\(730\) | 5.53021 | + | 3.59900i | 0.204682 | + | 0.133205i | ||||
\(731\) | −0.385253 | − | 0.103228i | −0.0142491 | − | 0.00381803i | ||||
\(732\) | 27.9929 | − | 12.3982i | 1.03465 | − | 0.458250i | ||||
\(733\) | 2.10982 | + | 7.87397i | 0.0779281 | + | 0.290832i | 0.993881 | − | 0.110453i | \(-0.0352303\pi\) |
−0.915953 | + | 0.401285i | \(0.868564\pi\) | |||||||
\(734\) | −32.3831 | − | 36.0354i | −1.19528 | − | 1.33009i | ||||
\(735\) | −12.0448 | − | 7.89336i | −0.444279 | − | 0.291151i | ||||
\(736\) | −20.1828 | − | 35.3528i | −0.743948 | − | 1.30312i | ||||
\(737\) | −11.3971 | + | 19.7404i | −0.419818 | + | 0.727147i | ||||
\(738\) | 17.6885 | + | 5.76631i | 0.651121 | + | 0.212261i | ||||
\(739\) | −7.24186 | − | 1.94045i | −0.266396 | − | 0.0713807i | 0.123148 | − | 0.992388i | \(-0.460701\pi\) |
−0.389545 | + | 0.921008i | \(0.627368\pi\) | |||||||
\(740\) | 4.73325 | + | 3.45297i | 0.173998 | + | 0.126934i | ||||
\(741\) | −6.54147 | − | 6.54147i | −0.240307 | − | 0.240307i | ||||
\(742\) | 6.00747 | + | 12.6944i | 0.220541 | + | 0.466026i | ||||
\(743\) | 5.21163 | 0.191196 | 0.0955980 | − | 0.995420i | \(-0.469524\pi\) | ||||
0.0955980 | + | 0.995420i | \(0.469524\pi\) | |||||||
\(744\) | −15.7103 | + | 19.2856i | −0.575969 | + | 0.707043i | ||||
\(745\) | −1.74727 | − | 3.02635i | −0.0640149 | − | 0.110877i | ||||
\(746\) | 16.0607 | + | 31.5967i | 0.588024 | + | 1.15684i | ||||
\(747\) | 4.39657 | + | 16.4082i | 0.160862 | + | 0.600346i | ||||
\(748\) | 0.149127 | + | 0.184889i | 0.00545262 | + | 0.00676022i | ||||
\(749\) | −25.4264 | − | 26.9056i | −0.929060 | − | 0.983109i | ||||
\(750\) | 17.9906 | + | 20.0196i | 0.656923 | + | 0.731013i | ||||
\(751\) | 3.60025 | + | 2.07860i | 0.131375 | + | 0.0758493i | 0.564247 | − | 0.825606i | \(-0.309167\pi\) |
−0.432872 | + | 0.901455i | \(0.642500\pi\) | |||||||
\(752\) | −13.4434 | − | 41.9277i | −0.490229 | − | 1.52895i | ||||
\(753\) | −2.75320 | − | 4.76869i | −0.100332 | − | 0.173781i | ||||
\(754\) | −4.48528 | + | 0.948827i | −0.163344 | + | 0.0345542i | ||||
\(755\) | −4.83215 | − | 4.83215i | −0.175860 | − | 0.175860i | ||||
\(756\) | −4.33784 | + | 0.553358i | −0.157766 | + | 0.0201254i | ||||
\(757\) | 5.25365 | − | 5.25365i | 0.190947 | − | 0.190947i | −0.605158 | − | 0.796105i | \(-0.706890\pi\) |
0.796105 | + | 0.605158i | \(0.206890\pi\) | |||||||
\(758\) | 31.8984 | + | 20.7591i | 1.15860 | + | 0.754005i | ||||
\(759\) | 31.1877 | − | 18.0062i | 1.13204 | − | 0.653585i | ||||
\(760\) | 8.19302 | − | 18.2585i | 0.297192 | − | 0.662307i | ||||
\(761\) | 4.74872 | − | 8.22502i | 0.172141 | − | 0.298157i | −0.767027 | − | 0.641615i | \(-0.778265\pi\) |
0.939168 | + | 0.343458i | \(0.111598\pi\) | |||||||
\(762\) | −28.9570 | − | 1.54576i | −1.04900 | − | 0.0559970i | ||||
\(763\) | −7.16535 | + | 1.70451i | −0.259403 | + | 0.0617073i | ||||
\(764\) | −30.6279 | − | 3.27925i | −1.10808 | − | 0.118639i | ||||
\(765\) | −0.125090 | + | 0.0335178i | −0.00452264 | + | 0.00121184i | ||||
\(766\) | 9.96245 | − | 30.5603i | 0.359958 | − | 1.10419i | ||||
\(767\) | −3.62457 | + | 2.09265i | −0.130876 | + | 0.0755611i | ||||
\(768\) | −37.5240 | − | 6.24229i | −1.35403 | − | 0.225249i | ||||
\(769\) | 21.7626i | 0.784779i | 0.919799 | + | 0.392390i | \(0.128352\pi\) | ||||
−0.919799 | + | 0.392390i | \(0.871648\pi\) | |||||||
\(770\) | −5.19562 | + | 4.41015i | −0.187237 | + | 0.158931i | ||||
\(771\) | −13.6069 | + | 13.6069i | −0.490042 | + | 0.490042i | ||||
\(772\) | 2.50546 | + | 1.82777i | 0.0901735 | + | 0.0657827i | ||||
\(773\) | 10.2229 | − | 38.1522i | 0.367690 | − | 1.37224i | −0.496046 | − | 0.868296i | \(-0.665215\pi\) |
0.863737 | − | 0.503943i | \(-0.168118\pi\) | |||||||
\(774\) | 12.0145 | + | 23.6364i | 0.431851 | + | 0.849593i | ||||
\(775\) | −13.6189 | − | 7.86287i | −0.489205 | − | 0.282442i | ||||
\(776\) | −15.0071 | − | 20.7825i | −0.538722 | − | 0.746047i | ||||
\(777\) | 10.1222 | + | 18.7356i | 0.363133 | + | 0.672135i | ||||
\(778\) | −38.1106 | − | 2.03439i | −1.36633 | − | 0.0729363i | ||||
\(779\) | 39.1738 | − | 10.4966i | 1.40355 | − | 0.376079i | ||||
\(780\) | 1.82656 | + | 0.705224i | 0.0654015 | + | 0.0252511i | ||||
\(781\) | −7.15007 | + | 26.6844i | −0.255850 | + | 0.954843i | ||||
\(782\) | 0.118846 | + | 0.561805i | 0.00424991 | + | 0.0200901i | ||||
\(783\) | 5.62978 | 0.201192 | ||||||||
\(784\) | 7.02927 | + | 27.1033i | 0.251045 | + | 0.967975i | ||||
\(785\) | 13.9827 | 0.499062 | ||||||||
\(786\) | −3.74794 | − | 17.7172i | −0.133685 | − | 0.631953i | ||||
\(787\) | 6.94989 | − | 25.9373i | 0.247737 | − | 0.924567i | −0.724251 | − | 0.689536i | \(-0.757814\pi\) |
0.971988 | − | 0.235030i | \(-0.0755189\pi\) | |||||||
\(788\) | 1.07149 | − | 2.77522i | 0.0381704 | − | 0.0988632i | ||||
\(789\) | 34.0717 | − | 9.12949i | 1.21299 | − | 0.325018i | ||||
\(790\) | −7.04981 | − | 0.376327i | −0.250821 | − | 0.0133891i | ||||
\(791\) | −8.48027 | − | 15.6964i | −0.301524 | − | 0.558101i | ||||
\(792\) | 2.51568 | − | 15.5894i | 0.0893908 | − | 0.553946i | ||||
\(793\) | 2.65349 | + | 1.53199i | 0.0942281 | + | 0.0544026i | ||||
\(794\) | 16.2196 | + | 31.9093i | 0.575612 | + | 1.13242i | ||||
\(795\) | −1.99855 | + | 7.45868i | −0.0708812 | + | 0.264532i | ||||
\(796\) | 14.9214 | − | 20.4539i | 0.528874 | − | 0.724969i | ||||
\(797\) | 28.0289 | − | 28.0289i | 0.992834 | − | 0.992834i | −0.00714087 | − | 0.999975i | \(-0.502273\pi\) |
0.999975 | + | 0.00714087i | \(0.00227303\pi\) | |||||||
\(798\) | 55.4546 | − | 47.0711i | 1.96307 | − | 1.66630i | ||||
\(799\) | 0.621097i | 0.0219728i | ||||||||
\(800\) | 0.116719 | − | 24.0484i | 0.00412663 | − | 0.850238i | ||||
\(801\) | 5.89044 | − | 3.40084i | 0.208128 | − | 0.120163i | ||||
\(802\) | −1.54137 | + | 4.72824i | −0.0544278 | + | 0.166960i | ||||
\(803\) | 10.9625 | − | 2.93740i | 0.386859 | − | 0.103658i | ||||
\(804\) | −5.48183 | + | 51.1998i | −0.193329 | + | 1.80568i | ||||
\(805\) | −16.0279 | + | 3.81274i | −0.564908 | + | 0.134381i | ||||
\(806\) | −2.48589 | − | 0.132700i | −0.0875618 | − | 0.00467415i | ||||
\(807\) | −0.288072 | + | 0.498956i | −0.0101406 | + | 0.0175641i | ||||
\(808\) | 9.65601 | + | 25.3754i | 0.339697 | + | 0.892703i | ||||
\(809\) | −14.7231 | + | 8.50038i | −0.517636 | + | 0.298857i | −0.735967 | − | 0.677017i | \(-0.763272\pi\) |
0.218331 | + | 0.975875i | \(0.429939\pi\) | |||||||
\(810\) | −10.1766 | − | 6.62281i | −0.357569 | − | 0.232702i | ||||
\(811\) | 0.379489 | − | 0.379489i | 0.0133256 | − | 0.0133256i | −0.700413 | − | 0.713738i | \(-0.747001\pi\) |
0.713738 | + | 0.700413i | \(0.247001\pi\) | |||||||
\(812\) | −4.56139 | − | 35.7573i | −0.160074 | − | 1.25484i | ||||
\(813\) | −37.7059 | − | 37.7059i | −1.32240 | − | 1.32240i | ||||
\(814\) | 9.85942 | − | 2.08568i | 0.345573 | − | 0.0731032i | ||||
\(815\) | −1.33935 | − | 2.31983i | −0.0469155 | − | 0.0812600i | ||||
\(816\) | 0.477159 | + | 0.245463i | 0.0167039 | + | 0.00859292i | ||||
\(817\) | 50.0550 | + | 28.8993i | 1.75120 | + | 1.01106i | ||||
\(818\) | 17.6505 | + | 19.6412i | 0.617136 | + | 0.686739i | ||||
\(819\) | 2.29370 | + | 2.42714i | 0.0801483 | + | 0.0848110i | ||||
\(820\) | −6.68118 | + | 5.38887i | −0.233317 | + | 0.188187i | ||||
\(821\) | 8.24372 | + | 30.7660i | 0.287708 | + | 1.07374i | 0.946838 | + | 0.321711i | \(0.104258\pi\) |
−0.659130 | + | 0.752029i | \(0.729075\pi\) | |||||||
\(822\) | −16.3954 | − | 32.2551i | −0.571854 | − | 1.12502i | ||||
\(823\) | 22.7033 | + | 39.3232i | 0.791386 | + | 1.37072i | 0.925109 | + | 0.379703i | \(0.123974\pi\) |
−0.133722 | + | 0.991019i | \(0.542693\pi\) | |||||||
\(824\) | 3.86554 | − | 0.394907i | 0.134662 | − | 0.0137572i | ||||
\(825\) | 21.2746 | 0.740685 | ||||||||
\(826\) | −14.0766 | − | 29.7453i | −0.489787 | − | 1.03497i | ||||
\(827\) | −5.61746 | − | 5.61746i | −0.195338 | − | 0.195338i | 0.602660 | − | 0.797998i | \(-0.294108\pi\) |
−0.797998 | + | 0.602660i | \(0.794108\pi\) | |||||||
\(828\) | 22.4985 | − | 30.8404i | 0.781876 | − | 1.07178i | ||||
\(829\) | −51.4334 | − | 13.7815i | −1.78636 | − | 0.478652i | −0.794637 | − | 0.607085i | \(-0.792339\pi\) |
−0.991718 | + | 0.128432i | \(0.959005\pi\) | |||||||
\(830\) | −7.45136 | − | 2.42909i | −0.258640 | − | 0.0843150i | ||||
\(831\) | −23.1356 | + | 40.0721i | −0.802565 | + | 1.39008i | ||||
\(832\) | −1.70854 | − | 3.40205i | −0.0592331 | − | 0.117945i | ||||
\(833\) | 0.0223106 | − | 0.394342i | 0.000773016 | − | 0.0136631i | ||||
\(834\) | −41.9673 | − | 46.7005i | −1.45321 | − | 1.61711i | ||||
\(835\) | 1.26078 | + | 4.70531i | 0.0436312 | + | 0.162834i | ||||
\(836\) | −13.9398 | − | 31.4737i | −0.482119 | − | 1.08854i | ||||
\(837\) | 2.95283 | + | 0.791210i | 0.102065 | + | 0.0273482i | ||||
\(838\) | −3.83845 | − | 2.49802i | −0.132597 | − | 0.0862927i | ||||
\(839\) | 42.8593i | 1.47967i | 0.672790 | + | 0.739834i | \(0.265096\pi\) | ||||
−0.672790 | + | 0.739834i | \(0.734904\pi\) | |||||||
\(840\) | −6.69702 | + | 13.8621i | −0.231069 | + | 0.478289i | ||||
\(841\) | 17.4069i | 0.600238i | ||||||||
\(842\) | 0.896550 | − | 1.37764i | 0.0308972 | − | 0.0474765i | ||||
\(843\) | −28.4432 | − | 7.62133i | −0.979635 | − | 0.262492i | ||||
\(844\) | 0.846078 | − | 2.19138i | 0.0291232 | − | 0.0754306i | ||||
\(845\) | −2.86075 | − | 10.6765i | −0.0984127 | − | 0.367281i | ||||
\(846\) | 30.7112 | − | 27.5985i | 1.05587 | − | 0.948857i | ||||
\(847\) | 0.491095 | − | 17.3742i | 0.0168742 | − | 0.596985i | ||||
\(848\) | 12.6233 | − | 8.12814i | 0.433485 | − | 0.279122i | ||||
\(849\) | 4.49186 | − | 7.78012i | 0.154160 | − | 0.267013i | ||||
\(850\) | −0.105142 | + | 0.322529i | −0.00360635 | + | 0.0110627i | ||||
\(851\) | 23.5324 | + | 6.30548i | 0.806679 | + | 0.216149i | ||||
\(852\) | 9.64289 | + | 61.6573i | 0.330360 | + | 2.11234i | ||||
\(853\) | −1.26515 | − | 1.26515i | −0.0433180 | − | 0.0433180i | 0.685116 | − | 0.728434i | \(-0.259751\pi\) |
−0.728434 | + | 0.685116i | \(0.759751\pi\) | |||||||
\(854\) | −13.7060 | + | 19.8126i | −0.469008 | + | 0.677973i | ||||
\(855\) | 18.7670 | 0.641818 | ||||||||
\(856\) | −24.9949 | + | 30.6830i | −0.854307 | + | 1.04872i | ||||
\(857\) | 19.6774 | + | 34.0822i | 0.672166 | + | 1.16423i | 0.977289 | + | 0.211912i | \(0.0679691\pi\) |
−0.305123 | + | 0.952313i | \(0.598698\pi\) | |||||||
\(858\) | 3.00224 | − | 1.52605i | 0.102495 | − | 0.0520984i | ||||
\(859\) | −7.74782 | − | 28.9153i | −0.264352 | − | 0.986576i | −0.962646 | − | 0.270764i | \(-0.912724\pi\) |
0.698293 | − | 0.715812i | \(-0.253943\pi\) | |||||||
\(860\) | −12.1635 | − | 1.30232i | −0.414773 | − | 0.0444087i | ||||
\(861\) | −30.3515 | + | 7.22006i | −1.03438 | + | 0.246059i | ||||
\(862\) | 21.4973 | − | 19.3185i | 0.732201 | − | 0.657991i | ||||
\(863\) | 1.42367 | + | 0.821957i | 0.0484624 | + | 0.0279798i | 0.524035 | − | 0.851696i | \(-0.324426\pi\) |
−0.475573 | + | 0.879676i | \(0.657759\pi\) | |||||||
\(864\) | 1.18803 | + | 4.52145i | 0.0404176 | + | 0.153823i | ||||
\(865\) | −0.760238 | − | 1.31677i | −0.0258489 | − | 0.0447716i | ||||
\(866\) | −10.1698 | − | 48.0743i | −0.345582 | − | 1.63363i | ||||
\(867\) | 28.5739 | + | 28.5739i | 0.970419 | + | 0.970419i | ||||
\(868\) | 2.63288 | − | 19.3959i | 0.0893656 | − | 0.658339i | ||||
\(869\) | −8.58662 | + | 8.58662i | −0.291281 | + | 0.291281i | ||||
\(870\) | 10.8106 | − | 16.6116i | 0.366515 | − | 0.563186i | ||||
\(871\) | −4.46290 | + | 2.57666i | −0.151220 | + | 0.0873066i | ||||
\(872\) | 2.80031 | + | 7.35904i | 0.0948305 | + | 0.249209i | ||||
\(873\) | 12.0195 | − | 20.8184i | 0.406799 | − | 0.704596i | ||||
\(874\) | 4.43586 | − | 83.0978i | 0.150045 | − | 2.81082i | ||||
\(875\) | −20.2950 | − | 6.05756i | −0.686096 | − | 0.204783i | ||||
\(876\) | 19.9558 | − | 16.0958i | 0.674242 | − | 0.543827i | ||||
\(877\) | −8.17605 | + | 2.19077i | −0.276086 | + | 0.0739769i | −0.394205 | − | 0.919022i | \(-0.628980\pi\) |
0.118120 | + | 0.992999i | \(0.462313\pi\) | |||||||
\(878\) | 43.8512 | + | 14.2952i | 1.47991 | + | 0.482439i | ||||
\(879\) | −8.26360 | + | 4.77099i | −0.278724 | + | 0.160922i | ||||
\(880\) | 5.39522 | + | 4.89595i | 0.181873 | + | 0.165042i | ||||
\(881\) | − | 21.6012i | − | 0.727763i | −0.931445 | − | 0.363881i | \(-0.881451\pi\) | ||
0.931445 | − | 0.363881i | \(-0.118549\pi\) | |||||||
\(882\) | −20.4903 | + | 16.4195i | −0.689944 | + | 0.552872i | ||||
\(883\) | 13.8898 | − | 13.8898i | 0.467428 | − | 0.467428i | −0.433652 | − | 0.901080i | \(-0.642775\pi\) |
0.901080 | + | 0.433652i | \(0.142775\pi\) | |||||||
\(884\) | 0.00829782 | + | 0.0530569i | 0.000279086 | + | 0.00178450i | ||||
\(885\) | 4.68296 | − | 17.4770i | 0.157416 | − | 0.587485i | ||||
\(886\) | −17.4081 | + | 8.84859i | −0.584836 | + | 0.297274i | ||||
\(887\) | 6.26306 | + | 3.61598i | 0.210293 | + | 0.121413i | 0.601448 | − | 0.798912i | \(-0.294591\pi\) |
−0.391155 | + | 0.920325i | \(0.627924\pi\) | |||||||
\(888\) | 18.4565 | − | 13.3275i | 0.619359 | − | 0.447241i | ||||
\(889\) | 20.0760 | − | 10.8464i | 0.673327 | − | 0.363777i | ||||
\(890\) | −0.167277 | + | 3.13363i | −0.00560713 | + | 0.105039i | ||||
\(891\) | −20.1730 | + | 5.40534i | −0.675821 | + | 0.181086i | ||||
\(892\) | 7.67467 | − | 3.39914i | 0.256967 | − | 0.113812i | ||||
\(893\) | 23.2954 | − | 86.9398i | 0.779552 | − | 2.90933i | ||||
\(894\) | −13.2844 | + | 2.81021i | −0.444297 | + | 0.0939876i | ||||
\(895\) | −6.62866 | −0.221572 | ||||||||
\(896\) | 27.7553 | − | 11.2091i | 0.927239 | − | 0.374471i | ||||
\(897\) | 8.14168 | 0.271843 | ||||||||
\(898\) | 24.4461 | − | 5.17138i | 0.815776 | − | 0.172571i | ||||
\(899\) | −6.52203 | + | 24.3406i | −0.217522 | + | 0.811803i | ||||
\(900\) | 20.6200 | − | 9.13269i | 0.687333 | − | 0.304423i | ||||
\(901\) | −0.204571 | + | 0.0548145i | −0.00681524 | + | 0.00182614i | ||||
\(902\) | −0.787012 | + | 14.7432i | −0.0262046 | + | 0.490896i | ||||
\(903\) | −37.8625 | − | 23.3106i | −1.25999 | − | 0.775727i | ||||
\(904\) | −15.4626 | + | 11.1656i | −0.514279 | + | 0.371362i | ||||
\(905\) | −0.00474788 | − | 0.00274119i | −0.000157825 | − | 9.11202e-5i | ||||
\(906\) | −23.6706 | + | 12.0319i | −0.786404 | + | 0.399732i | ||||
\(907\) | 5.35210 | − | 19.9743i | 0.177714 | − | 0.663237i | −0.818360 | − | 0.574706i | \(-0.805116\pi\) |
0.996073 | − | 0.0885303i | \(-0.0282170\pi\) | |||||||
\(908\) | 3.97474 | + | 25.4148i | 0.131906 | + | 0.843418i | ||||
\(909\) | −18.0035 | + | 18.0035i | −0.597137 | + | 0.597137i | ||||
\(910\) | −1.51578 | + | 0.276155i | −0.0502475 | + | 0.00915444i | ||||
\(911\) | − | 0.154520i | − | 0.00511948i | −0.999997 | − | 0.00255974i | \(-0.999185\pi\) | ||
0.999997 | − | 0.00255974i | \(-0.000814791\pi\) | |||||||
\(912\) | −57.5851 | − | 52.2561i | −1.90683 | − | 1.73037i | ||||
\(913\) | −11.6745 | + | 6.74028i | −0.386370 | + | 0.223071i | ||||
\(914\) | −5.45032 | − | 1.77677i | −0.180280 | − | 0.0587702i | ||||
\(915\) | −12.7947 | + | 3.42832i | −0.422978 | + | 0.113337i | ||||
\(916\) | 31.4978 | − | 25.4053i | 1.04072 | − | 0.839415i | ||||
\(917\) | 9.78766 | + | 10.3571i | 0.323217 | + | 0.342021i | ||||
\(918\) | 0.00351524 | − | 0.0658516i | 0.000116020 | − | 0.00217343i | ||||
\(919\) | −17.9792 | + | 31.1409i | −0.593079 | + | 1.02724i | 0.400736 | + | 0.916194i | \(0.368754\pi\) |
−0.993815 | + | 0.111049i | \(0.964579\pi\) | |||||||
\(920\) | 6.26390 | + | 16.4611i | 0.206515 | + | 0.542707i | ||||
\(921\) | −51.0385 | + | 29.4671i | −1.68178 | + | 0.970974i | ||||
\(922\) | −2.61148 | + | 4.01279i | −0.0860045 | + | 0.132154i | ||||
\(923\) | −4.41631 | + | 4.41631i | −0.145365 | + | 0.145365i | ||||
\(924\) | 10.0352 | + | 24.5052i | 0.330133 | + | 0.806162i | ||||
\(925\) | 10.1769 | + | 10.1769i | 0.334614 | + | 0.334614i | ||||
\(926\) | −9.00398 | − | 42.5635i | −0.295889 | − | 1.39872i | ||||
\(927\) | 1.82191 | + | 3.15565i | 0.0598395 | + | 0.103645i | ||||
\(928\) | −37.2709 | + | 9.79307i | −1.22348 | + | 0.321473i | ||||
\(929\) | 13.9612 | + | 8.06050i | 0.458052 | + | 0.264456i | 0.711225 | − | 0.702965i | \(-0.248141\pi\) |
−0.253173 | + | 0.967421i | \(0.581474\pi\) | |||||||
\(930\) | 8.00481 | − | 7.19351i | 0.262488 | − | 0.235884i | ||||
\(931\) | −17.9136 | + | 54.3623i | −0.587093 | + | 1.78165i | ||||
\(932\) | 45.6015 | + | 4.88244i | 1.49373 | + | 0.159929i | ||||
\(933\) | 13.7956 | + | 51.4860i | 0.451649 | + | 1.68558i | ||||
\(934\) | −9.07246 | + | 4.61156i | −0.296860 | + | 0.150895i | ||||
\(935\) | −0.0513854 | − | 0.0890021i | −0.00168048 | − | 0.00291068i | ||||
\(936\) | 2.25477 | − | 2.76789i | 0.0736994 | − | 0.0904713i | ||||
\(937\) | 8.23172 | 0.268919 | 0.134459 | − | 0.990919i | \(-0.457070\pi\) | ||||
0.134459 | + | 0.990919i | \(0.457070\pi\) | |||||||
\(938\) | −17.3324 | − | 36.6250i | −0.565922 | − | 1.19585i | ||||
\(939\) | −13.0096 | − | 13.0096i | −0.424552 | − | 0.424552i | ||||
\(940\) | 2.94352 | + | 18.8211i | 0.0960071 | + | 0.613876i | ||||
\(941\) | 22.9150 | + | 6.14005i | 0.747007 | + | 0.200160i | 0.612190 | − | 0.790710i | \(-0.290289\pi\) |
0.134817 | + | 0.990870i | \(0.456955\pi\) | |||||||
\(942\) | 16.8394 | − | 51.6557i | 0.548658 | − | 1.68303i | ||||
\(943\) | −17.8462 | + | 30.9105i | −0.581151 | + | 1.00658i | ||||
\(944\) | −29.5786 | + | 19.0457i | −0.962703 | + | 0.619885i | ||||
\(945\) | 1.89124 | + | 0.0534574i | 0.0615221 | + | 0.00173897i | ||||
\(946\) | −15.6505 | + | 14.0643i | −0.508842 | + | 0.457270i | ||||
\(947\) | −8.55816 | − | 31.9395i | −0.278103 | − | 1.03789i | −0.953733 | − | 0.300654i | \(-0.902795\pi\) |
0.675631 | − | 0.737240i | \(-0.263871\pi\) | |||||||
\(948\) | −9.88039 | + | 25.5907i | −0.320900 | + | 0.831147i | ||||
\(949\) | 2.47840 | + | 0.664085i | 0.0804522 | + | 0.0215571i | ||||
\(950\) | 26.8147 | − | 41.2033i | 0.869982 | − | 1.33681i | ||||
\(951\) | − | 7.70103i | − | 0.249723i | ||||||
\(952\) | −0.421102 | + | 0.0310278i | −0.0136480 | + | 0.00100562i | ||||
\(953\) | − | 21.4014i | − | 0.693259i | −0.938002 | − | 0.346630i | \(-0.887326\pi\) | ||
0.938002 | − | 0.346630i | \(-0.112674\pi\) | |||||||
\(954\) | 11.8005 | + | 7.67964i | 0.382056 | + | 0.248638i | ||||
\(955\) | 12.8729 | + | 3.44929i | 0.416558 | + | 0.111617i | ||||
\(956\) | 4.15464 | + | 9.38045i | 0.134371 | + | 0.303386i | ||||
\(957\) | −8.82333 | − | 32.9291i | −0.285218 | − | 1.06445i | ||||
\(958\) | −2.69883 | − | 3.00321i | −0.0871952 | − | 0.0970293i | ||||
\(959\) | 24.2455 | + | 14.9271i | 0.782929 | + | 0.482020i | ||||
\(960\) | 15.6226 | + | 5.17689i | 0.504218 | + | 0.167083i | ||||
\(961\) | 8.65835 | − | 14.9967i | 0.279302 | − | 0.483765i | ||||
\(962\) | 2.16615 | + | 0.706149i | 0.0698394 | + | 0.0227672i | ||||
\(963\) | −35.8475 | − | 9.60531i | −1.15517 | − | 0.309527i | ||||
\(964\) | −19.9796 | + | 27.3876i | −0.643500 | + | 0.882095i | ||||
\(965\) | −0.948791 | − | 0.948791i | −0.0305426 | − | 0.0305426i | ||||
\(966\) | −5.21719 | + | 63.8030i | −0.167860 | + | 2.05283i | ||||
\(967\) | −4.85592 | −0.156156 | −0.0780779 | − | 0.996947i | \(-0.524878\pi\) | ||||
−0.0780779 | + | 0.996947i | \(0.524878\pi\) | |||||||
\(968\) | −18.4850 | + | 1.88845i | −0.594131 | + | 0.0606969i | ||||
\(969\) | 0.548454 | + | 0.949950i | 0.0176189 | + | 0.0305168i | ||||
\(970\) | 5.02555 | + | 9.88691i | 0.161361 | + | 0.317449i | ||||
\(971\) | 15.9462 | + | 59.5122i | 0.511739 | + | 1.90984i | 0.401280 | + | 0.915956i | \(0.368566\pi\) |
0.110459 | + | 0.993881i | \(0.464768\pi\) | |||||||
\(972\) | −32.8627 | + | 26.5062i | −1.05407 | + | 0.850187i | ||||
\(973\) | 47.3429 | + | 14.1307i | 1.51774 | + | 0.453010i | ||||
\(974\) | 31.3930 | + | 34.9336i | 1.00590 | + | 1.11935i | ||||
\(975\) | 4.16536 | + | 2.40487i | 0.133398 | + | 0.0770175i | ||||
\(976\) | 22.9021 | + | 11.7814i | 0.733077 | + | 0.377114i | ||||
\(977\) | −6.98255 | − | 12.0941i | −0.223392 | − | 0.386926i | 0.732444 | − | 0.680827i | \(-0.238380\pi\) |
−0.955836 | + | 0.293902i | \(0.905046\pi\) | |||||||
\(978\) | −10.1831 | + | 2.15415i | −0.325618 | + | 0.0688820i | ||||
\(979\) | 3.81673 | + | 3.81673i | 0.121983 | + | 0.121983i | ||||
\(980\) | −1.19280 | − | 12.0555i | −0.0381027 | − | 0.385098i | ||||
\(981\) | −5.22113 | + | 5.22113i | −0.166698 | + | 0.166698i | ||||
\(982\) | 38.6696 | + | 25.1657i | 1.23400 | + | 0.803070i | ||||
\(983\) | 48.8774 | − | 28.2194i | 1.55895 | − | 0.900058i | 0.561588 | − | 0.827417i | \(-0.310190\pi\) |
0.997358 | − | 0.0726413i | \(-0.0231428\pi\) | |||||||
\(984\) | 11.8617 | + | 31.1719i | 0.378139 | + | 0.993725i | ||||
\(985\) | −0.643550 | + | 1.11466i | −0.0205052 | + | 0.0355161i | ||||
\(986\) | 0.542822 | + | 0.0289765i | 0.0172870 | + | 0.000922800i | ||||
\(987\) | −19.8031 | + | 66.3474i | −0.630339 | + | 2.11186i | ||||
\(988\) | 0.828489 | − | 7.73801i | 0.0263577 | − | 0.246179i | ||||
\(989\) | −49.1342 | + | 13.1655i | −1.56238 | + | 0.418638i | ||||
\(990\) | −2.11754 | + | 6.49566i | −0.0672998 | + | 0.206445i | ||||
\(991\) | −39.5634 | + | 22.8419i | −1.25677 | + | 0.725598i | −0.972446 | − | 0.233129i | \(-0.925104\pi\) |
−0.284327 | + | 0.958727i | \(0.591770\pi\) | |||||||
\(992\) | −20.9250 | − | 0.101559i | −0.664369 | − | 0.00322451i | ||||
\(993\) | 9.89891i | 0.314132i | ||||||||
\(994\) | −31.7789 | − | 37.4388i | −1.00796 | − | 1.18749i | ||||
\(995\) | −7.74566 | + | 7.74566i | −0.245554 | + | 0.245554i | ||||
\(996\) | −17.9474 | + | 24.6020i | −0.568686 | + | 0.779543i | ||||
\(997\) | 3.55112 | − | 13.2530i | 0.112465 | − | 0.419726i | −0.886620 | − | 0.462499i | \(-0.846953\pi\) |
0.999085 | + | 0.0427736i | \(0.0136194\pi\) | |||||||
\(998\) | −13.3102 | − | 26.1856i | −0.421328 | − | 0.828891i | ||||
\(999\) | −2.42295 | − | 1.39889i | −0.0766588 | − | 0.0442590i |
(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 | 112.2.v.a.19.1 | yes | 56 | |
4.3 | odd | 2 | 448.2.z.a.47.2 | 56 | |||
7.2 | even | 3 | 784.2.j.a.195.20 | 56 | |||
7.3 | odd | 6 | inner | 112.2.v.a.3.10 | ✓ | 56 | |
7.4 | even | 3 | 784.2.w.f.227.10 | 56 | |||
7.5 | odd | 6 | 784.2.j.a.195.19 | 56 | |||
7.6 | odd | 2 | 784.2.w.f.19.1 | 56 | |||
8.3 | odd | 2 | 896.2.z.a.607.13 | 56 | |||
8.5 | even | 2 | 896.2.z.b.607.2 | 56 | |||
16.3 | odd | 4 | 896.2.z.b.159.2 | 56 | |||
16.5 | even | 4 | 448.2.z.a.271.2 | 56 | |||
16.11 | odd | 4 | inner | 112.2.v.a.75.10 | yes | 56 | |
16.13 | even | 4 | 896.2.z.a.159.13 | 56 | |||
28.3 | even | 6 | 448.2.z.a.367.2 | 56 | |||
56.3 | even | 6 | 896.2.z.a.479.13 | 56 | |||
56.45 | odd | 6 | 896.2.z.b.479.2 | 56 | |||
112.3 | even | 12 | 896.2.z.b.31.2 | 56 | |||
112.11 | odd | 12 | 784.2.w.f.619.1 | 56 | |||
112.27 | even | 4 | 784.2.w.f.411.10 | 56 | |||
112.45 | odd | 12 | 896.2.z.a.31.13 | 56 | |||
112.59 | even | 12 | inner | 112.2.v.a.59.1 | yes | 56 | |
112.75 | even | 12 | 784.2.j.a.587.20 | 56 | |||
112.101 | odd | 12 | 448.2.z.a.143.2 | 56 | |||
112.107 | odd | 12 | 784.2.j.a.587.19 | 56 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
112.2.v.a.3.10 | ✓ | 56 | 7.3 | odd | 6 | inner | |
112.2.v.a.19.1 | yes | 56 | 1.1 | even | 1 | trivial | |
112.2.v.a.59.1 | yes | 56 | 112.59 | even | 12 | inner | |
112.2.v.a.75.10 | yes | 56 | 16.11 | odd | 4 | inner | |
448.2.z.a.47.2 | 56 | 4.3 | odd | 2 | |||
448.2.z.a.143.2 | 56 | 112.101 | odd | 12 | |||
448.2.z.a.271.2 | 56 | 16.5 | even | 4 | |||
448.2.z.a.367.2 | 56 | 28.3 | even | 6 | |||
784.2.j.a.195.19 | 56 | 7.5 | odd | 6 | |||
784.2.j.a.195.20 | 56 | 7.2 | even | 3 | |||
784.2.j.a.587.19 | 56 | 112.107 | odd | 12 | |||
784.2.j.a.587.20 | 56 | 112.75 | even | 12 | |||
784.2.w.f.19.1 | 56 | 7.6 | odd | 2 | |||
784.2.w.f.227.10 | 56 | 7.4 | even | 3 | |||
784.2.w.f.411.10 | 56 | 112.27 | even | 4 | |||
784.2.w.f.619.1 | 56 | 112.11 | odd | 12 | |||
896.2.z.a.31.13 | 56 | 112.45 | odd | 12 | |||
896.2.z.a.159.13 | 56 | 16.13 | even | 4 | |||
896.2.z.a.479.13 | 56 | 56.3 | even | 6 | |||
896.2.z.a.607.13 | 56 | 8.3 | odd | 2 | |||
896.2.z.b.31.2 | 56 | 112.3 | even | 12 | |||
896.2.z.b.159.2 | 56 | 16.3 | odd | 4 | |||
896.2.z.b.479.2 | 56 | 56.45 | odd | 6 | |||
896.2.z.b.607.2 | 56 | 8.5 | even | 2 |