Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [547,2,Mod(9,547)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(547, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("547.9");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 547 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 547.e (of order \(7\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.36781699056\) |
Analytic rank: | \(0\) |
Dimension: | \(264\) |
Relative dimension: | \(44\) over \(\Q(\zeta_{7})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{7}]$ |
Embedding invariants
Embedding label | 9.4 | ||
Character | \(\chi\) | \(=\) | 547.9 |
Dual form | 547.2.e.a.304.4 |
$q$-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 \(\left(\mathbb{Z}/547\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{4}{7}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.531576 | + | 2.32899i | −0.375881 | + | 1.64684i | 0.334039 | + | 0.942559i | \(0.391588\pi\) |
−0.709920 | + | 0.704282i | \(0.751269\pi\) | |||||||
\(3\) | −1.23305 | − | 0.593806i | −0.711902 | − | 0.342834i | 0.0426358 | − | 0.999091i | \(-0.486425\pi\) |
−0.754538 | + | 0.656257i | \(0.772139\pi\) | |||||||
\(4\) | −3.33966 | − | 1.60830i | −1.66983 | − | 0.804149i | ||||
\(5\) | −1.80655 | − | 2.26534i | −0.807914 | − | 1.01309i | −0.999500 | − | 0.0316166i | \(-0.989934\pi\) |
0.191586 | − | 0.981476i | \(-0.438637\pi\) | |||||||
\(6\) | 2.03842 | − | 2.55610i | 0.832183 | − | 1.04352i | ||||
\(7\) | 0.803964 | − | 0.387169i | 0.303870 | − | 0.146336i | −0.275735 | − | 0.961234i | \(-0.588921\pi\) |
0.579605 | + | 0.814898i | \(0.303207\pi\) | |||||||
\(8\) | 2.54210 | − | 3.18770i | 0.898769 | − | 1.12702i | ||||
\(9\) | −0.702662 | − | 0.881110i | −0.234221 | − | 0.293703i | ||||
\(10\) | 6.23627 | − | 3.00323i | 1.97208 | − | 0.949705i | ||||
\(11\) | −0.177764 | −0.0535978 | −0.0267989 | − | 0.999641i | \(-0.508531\pi\) | ||||
−0.0267989 | + | 0.999641i | \(0.508531\pi\) | |||||||
\(12\) | 3.16296 | + | 3.96622i | 0.913067 | + | 1.14495i | ||||
\(13\) | 1.04040 | + | 4.55827i | 0.288554 | + | 1.26424i | 0.886510 | + | 0.462709i | \(0.153122\pi\) |
−0.597956 | + | 0.801529i | \(0.704020\pi\) | |||||||
\(14\) | 0.474343 | + | 2.07823i | 0.126773 | + | 0.555431i | ||||
\(15\) | 0.882394 | + | 3.86602i | 0.227833 | + | 0.998203i | ||||
\(16\) | 1.45054 | + | 1.81892i | 0.362635 | + | 0.454730i | ||||
\(17\) | 0.0370504 | + | 0.0464598i | 0.00898605 | + | 0.0112681i | 0.786304 | − | 0.617840i | \(-0.211992\pi\) |
−0.777318 | + | 0.629108i | \(0.783420\pi\) | |||||||
\(18\) | 2.42561 | − | 1.16811i | 0.571722 | − | 0.275327i | ||||
\(19\) | 1.57696 | + | 6.90911i | 0.361779 | + | 1.58506i | 0.748677 | + | 0.662935i | \(0.230690\pi\) |
−0.386897 | + | 0.922123i | \(0.626453\pi\) | |||||||
\(20\) | 2.38993 | + | 10.4710i | 0.534404 | + | 2.34138i | ||||
\(21\) | −1.22123 | −0.266495 | ||||||||
\(22\) | 0.0944949 | − | 0.414009i | 0.0201464 | − | 0.0882670i | ||||
\(23\) | 0.274298 | + | 1.20178i | 0.0571951 | + | 0.250588i | 0.995441 | − | 0.0953816i | \(-0.0304071\pi\) |
−0.938246 | + | 0.345970i | \(0.887550\pi\) | |||||||
\(24\) | −5.02741 | + | 2.42107i | −1.02622 | + | 0.494200i | ||||
\(25\) | −0.755550 | + | 3.31028i | −0.151110 | + | 0.662056i | ||||
\(26\) | −11.1692 | −2.19046 | ||||||||
\(27\) | 1.25682 | + | 5.50651i | 0.241876 | + | 1.05973i | ||||
\(28\) | −3.30765 | −0.625088 | ||||||||
\(29\) | 3.40212 | − | 4.26612i | 0.631758 | − | 0.792199i | −0.358187 | − | 0.933650i | \(-0.616605\pi\) |
0.989945 | + | 0.141450i | \(0.0451765\pi\) | |||||||
\(30\) | −9.47297 | −1.72952 | ||||||||
\(31\) | −1.54317 | − | 0.743153i | −0.277162 | − | 0.133474i | 0.290139 | − | 0.956984i | \(-0.406298\pi\) |
−0.567301 | + | 0.823510i | \(0.692013\pi\) | |||||||
\(32\) | 2.33958 | − | 1.12668i | 0.413583 | − | 0.199171i | ||||
\(33\) | 0.219192 | + | 0.105557i | 0.0381563 | + | 0.0183751i | ||||
\(34\) | −0.127899 | + | 0.0615930i | −0.0219345 | + | 0.0105631i | ||||
\(35\) | −2.32947 | − | 1.12182i | −0.393753 | − | 0.189621i | ||||
\(36\) | 0.929568 | + | 4.07270i | 0.154928 | + | 0.678784i | ||||
\(37\) | 5.04272 | + | 6.32337i | 0.829018 | + | 1.03956i | 0.998539 | + | 0.0540292i | \(0.0172064\pi\) |
−0.169521 | + | 0.985527i | \(0.554222\pi\) | |||||||
\(38\) | −16.9295 | −2.74633 | ||||||||
\(39\) | 1.42387 | − | 6.23837i | 0.228001 | − | 0.998939i | ||||
\(40\) | −11.8137 | −1.86790 | ||||||||
\(41\) | 4.78712 | 0.747622 | 0.373811 | − | 0.927505i | \(-0.378051\pi\) | ||||
0.373811 | + | 0.927505i | \(0.378051\pi\) | |||||||
\(42\) | 0.649177 | − | 2.84423i | 0.100170 | − | 0.438874i | ||||
\(43\) | −5.97531 | + | 2.87756i | −0.911226 | + | 0.438823i | −0.829930 | − | 0.557867i | \(-0.811620\pi\) |
−0.0812952 | + | 0.996690i | \(0.525906\pi\) | |||||||
\(44\) | 0.593671 | + | 0.285897i | 0.0894993 | + | 0.0431006i | ||||
\(45\) | −0.726623 | + | 3.18354i | −0.108318 | + | 0.474574i | ||||
\(46\) | −2.94474 | −0.434178 | ||||||||
\(47\) | 6.51421 | 0.950196 | 0.475098 | − | 0.879933i | \(-0.342413\pi\) | ||||
0.475098 | + | 0.879933i | \(0.342413\pi\) | |||||||
\(48\) | −0.708504 | − | 3.10416i | −0.102264 | − | 0.448047i | ||||
\(49\) | −3.86797 | + | 4.85028i | −0.552567 | + | 0.692897i | ||||
\(50\) | −7.30796 | − | 3.51933i | −1.03350 | − | 0.497708i | ||||
\(51\) | −0.0180970 | − | 0.0792880i | −0.00253408 | − | 0.0111025i | ||||
\(52\) | 3.85649 | − | 16.8964i | 0.534798 | − | 2.34310i | ||||
\(53\) | 0.243327 | + | 1.06609i | 0.0334236 | + | 0.146438i | 0.988886 | − | 0.148673i | \(-0.0475003\pi\) |
−0.955463 | + | 0.295112i | \(0.904643\pi\) | |||||||
\(54\) | −13.4927 | −1.83612 | ||||||||
\(55\) | 0.321139 | + | 0.402696i | 0.0433024 | + | 0.0542995i | ||||
\(56\) | 0.809583 | − | 3.54702i | 0.108185 | − | 0.473990i | ||||
\(57\) | 2.15820 | − | 9.45568i | 0.285860 | − | 1.25244i | ||||
\(58\) | 8.12726 | + | 10.1913i | 1.06716 | + | 1.33818i | ||||
\(59\) | 9.73022 | 1.26677 | 0.633384 | − | 0.773838i | \(-0.281666\pi\) | ||||
0.633384 | + | 0.773838i | \(0.281666\pi\) | |||||||
\(60\) | 3.27081 | − | 14.3304i | 0.422260 | − | 1.85004i | ||||
\(61\) | −2.76049 | − | 3.46154i | −0.353444 | − | 0.443205i | 0.573047 | − | 0.819523i | \(-0.305761\pi\) |
−0.926491 | + | 0.376318i | \(0.877190\pi\) | |||||||
\(62\) | 2.55111 | − | 3.19899i | 0.323991 | − | 0.406272i | ||||
\(63\) | −0.906053 | − | 0.436332i | −0.114152 | − | 0.0549727i | ||||
\(64\) | 2.41575 | + | 10.5841i | 0.301968 | + | 1.32301i | ||||
\(65\) | 8.44652 | − | 10.5916i | 1.04766 | − | 1.31373i | ||||
\(66\) | −0.362358 | + | 0.454382i | −0.0446032 | + | 0.0559306i | ||||
\(67\) | 0.788214 | + | 0.988390i | 0.0962957 | + | 0.120751i | 0.827645 | − | 0.561252i | \(-0.189680\pi\) |
−0.731349 | + | 0.682003i | \(0.761109\pi\) | |||||||
\(68\) | −0.0490149 | − | 0.214748i | −0.00594392 | − | 0.0260420i | ||||
\(69\) | 0.375400 | − | 1.64473i | 0.0451928 | − | 0.198003i | ||||
\(70\) | 3.85098 | − | 4.82898i | 0.460281 | − | 0.577174i | ||||
\(71\) | 1.16774 | + | 1.46430i | 0.138585 | + | 0.173781i | 0.846281 | − | 0.532737i | \(-0.178837\pi\) |
−0.707695 | + | 0.706518i | \(0.750265\pi\) | |||||||
\(72\) | −4.59495 | −0.541520 | ||||||||
\(73\) | 0.970814 | − | 4.25341i | 0.113625 | − | 0.497824i | −0.885805 | − | 0.464058i | \(-0.846393\pi\) |
0.999430 | − | 0.0337659i | \(-0.0107501\pi\) | |||||||
\(74\) | −17.4076 | + | 8.38307i | −2.02360 | + | 0.974512i | ||||
\(75\) | 2.89729 | − | 3.63309i | 0.334551 | − | 0.419513i | ||||
\(76\) | 5.84539 | − | 25.6103i | 0.670512 | − | 2.93771i | ||||
\(77\) | −0.142916 | + | 0.0688245i | −0.0162867 | + | 0.00784328i | ||||
\(78\) | 13.7722 | + | 6.63233i | 1.55939 | + | 0.750964i | ||||
\(79\) | −9.91238 | + | 4.77355i | −1.11523 | + | 0.537066i | −0.898416 | − | 0.439146i | \(-0.855281\pi\) |
−0.216814 | + | 0.976213i | \(0.569567\pi\) | |||||||
\(80\) | 1.50000 | − | 6.57194i | 0.167705 | − | 0.734766i | ||||
\(81\) | 0.967736 | − | 4.23993i | 0.107526 | − | 0.471103i | ||||
\(82\) | −2.54472 | + | 11.1491i | −0.281017 | + | 1.23122i | ||||
\(83\) | 7.14704 | 0.784490 | 0.392245 | − | 0.919861i | \(-0.371699\pi\) | ||||
0.392245 | + | 0.919861i | \(0.371699\pi\) | |||||||
\(84\) | 4.07850 | + | 1.96410i | 0.445001 | + | 0.214301i | ||||
\(85\) | 0.0383138 | − | 0.167864i | 0.00415572 | − | 0.0182074i | ||||
\(86\) | −3.52546 | − | 15.4460i | −0.380160 | − | 1.66559i | ||||
\(87\) | −6.72823 | + | 3.24015i | −0.721342 | + | 0.347380i | ||||
\(88\) | −0.451894 | + | 0.566657i | −0.0481720 | + | 0.0604058i | ||||
\(89\) | −7.86461 | + | 9.86191i | −0.833647 | + | 1.04536i | 0.164611 | + | 0.986359i | \(0.447363\pi\) |
−0.998258 | + | 0.0590019i | \(0.981208\pi\) | |||||||
\(90\) | −7.02817 | − | 3.38459i | −0.740834 | − | 0.356767i | ||||
\(91\) | 2.60126 | + | 3.26188i | 0.272686 | + | 0.341938i | ||||
\(92\) | 1.01675 | − | 4.45469i | 0.106004 | − | 0.464434i | ||||
\(93\) | 1.46152 | + | 1.83269i | 0.151553 | + | 0.190041i | ||||
\(94\) | −3.46280 | + | 15.1715i | −0.357160 | + | 1.56482i | ||||
\(95\) | 12.8026 | − | 16.0540i | 1.31352 | − | 1.64711i | ||||
\(96\) | −3.55385 | −0.362713 | ||||||||
\(97\) | 0.862170 | + | 3.77741i | 0.0875401 | + | 0.383538i | 0.999651 | − | 0.0264046i | \(-0.00840581\pi\) |
−0.912111 | + | 0.409943i | \(0.865549\pi\) | |||||||
\(98\) | −9.24012 | − | 11.5867i | −0.933393 | − | 1.17044i | ||||
\(99\) | 0.124908 | + | 0.156629i | 0.0125537 | + | 0.0157418i | ||||
\(100\) | 7.84720 | − | 9.84008i | 0.784720 | − | 0.984008i | ||||
\(101\) | −6.23019 | − | 7.81241i | −0.619927 | − | 0.777364i | 0.368407 | − | 0.929664i | \(-0.379903\pi\) |
−0.988334 | + | 0.152301i | \(0.951332\pi\) | |||||||
\(102\) | 0.194280 | 0.0192366 | ||||||||
\(103\) | 1.19652 | − | 5.24228i | 0.117896 | − | 0.516537i | −0.881149 | − | 0.472839i | \(-0.843229\pi\) |
0.999045 | − | 0.0436975i | \(-0.0139138\pi\) | |||||||
\(104\) | 17.1752 | + | 8.27113i | 1.68417 | + | 0.811051i | ||||
\(105\) | 2.20622 | + | 2.76651i | 0.215305 | + | 0.269984i | ||||
\(106\) | −2.61225 | −0.253724 | ||||||||
\(107\) | 17.5326 | 1.69494 | 0.847469 | − | 0.530844i | \(-0.178125\pi\) | ||||
0.847469 | + | 0.530844i | \(0.178125\pi\) | |||||||
\(108\) | 4.65873 | − | 20.4112i | 0.448286 | − | 1.96407i | ||||
\(109\) | 8.78591 | + | 11.0172i | 0.841538 | + | 1.05525i | 0.997717 | + | 0.0675262i | \(0.0215106\pi\) |
−0.156180 | + | 0.987729i | \(0.549918\pi\) | |||||||
\(110\) | −1.10858 | + | 0.533865i | −0.105699 | + | 0.0509021i | ||||
\(111\) | −2.46307 | − | 10.7914i | −0.233785 | − | 1.02428i | ||||
\(112\) | 1.87041 | + | 0.900743i | 0.176737 | + | 0.0851122i | ||||
\(113\) | −3.68170 | + | 16.1306i | −0.346345 | + | 1.51744i | 0.439062 | + | 0.898457i | \(0.355311\pi\) |
−0.785407 | + | 0.618980i | \(0.787546\pi\) | |||||||
\(114\) | 20.8749 | + | 10.0528i | 1.95511 | + | 0.941533i | ||||
\(115\) | 2.22691 | − | 2.79245i | 0.207660 | − | 0.260398i | ||||
\(116\) | −18.2231 | + | 8.77580i | −1.69198 | + | 0.814813i | ||||
\(117\) | 3.28529 | − | 4.11963i | 0.303725 | − | 0.380860i | ||||
\(118\) | −5.17235 | + | 22.6616i | −0.476154 | + | 2.08616i | ||||
\(119\) | 0.0477750 | + | 0.0230072i | 0.00437953 | + | 0.00210907i | ||||
\(120\) | 14.5668 | + | 7.01502i | 1.32976 | + | 0.640381i | ||||
\(121\) | −10.9684 | −0.997127 | ||||||||
\(122\) | 9.52928 | − | 4.58906i | 0.862741 | − | 0.415474i | ||||
\(123\) | −5.90276 | − | 2.84262i | −0.532234 | − | 0.256310i | ||||
\(124\) | 3.95847 | + | 4.96376i | 0.355481 | + | 0.445759i | ||||
\(125\) | −4.18885 | + | 2.01724i | −0.374662 | + | 0.180428i | ||||
\(126\) | 1.49785 | − | 1.87824i | 0.133439 | − | 0.167327i | ||||
\(127\) | 3.10803 | + | 13.6172i | 0.275793 | + | 1.20833i | 0.903057 | + | 0.429522i | \(0.141318\pi\) |
−0.627263 | + | 0.778807i | \(0.715825\pi\) | |||||||
\(128\) | −20.7408 | −1.83325 | ||||||||
\(129\) | 9.07656 | 0.799147 | ||||||||
\(130\) | 20.1777 | + | 25.3021i | 1.76970 | + | 2.21914i | ||||
\(131\) | −1.70261 | − | 2.13501i | −0.148758 | − | 0.186537i | 0.701869 | − | 0.712306i | \(-0.252349\pi\) |
−0.850627 | + | 0.525769i | \(0.823778\pi\) | |||||||
\(132\) | −0.562259 | − | 0.705050i | −0.0489384 | − | 0.0613668i | ||||
\(133\) | 3.94281 | + | 4.94413i | 0.341885 | + | 0.428710i | ||||
\(134\) | −2.72094 | + | 1.31034i | −0.235054 | + | 0.113196i | ||||
\(135\) | 10.2036 | − | 12.7949i | 0.878187 | − | 1.10121i | ||||
\(136\) | 0.242286 | 0.0207758 | ||||||||
\(137\) | −4.68040 | + | 2.25396i | −0.399873 | + | 0.192569i | −0.623002 | − | 0.782220i | \(-0.714087\pi\) |
0.223129 | + | 0.974789i | \(0.428373\pi\) | |||||||
\(138\) | 3.63101 | + | 1.74860i | 0.309092 | + | 0.148851i | ||||
\(139\) | 6.06470 | + | 2.92061i | 0.514401 | + | 0.247723i | 0.673029 | − | 0.739616i | \(-0.264993\pi\) |
−0.158628 | + | 0.987338i | \(0.550707\pi\) | |||||||
\(140\) | 5.97545 | + | 7.49297i | 0.505017 | + | 0.633272i | ||||
\(141\) | −8.03235 | − | 3.86818i | −0.676446 | − | 0.325759i | ||||
\(142\) | −4.03108 | + | 1.94127i | −0.338281 | + | 0.162907i | ||||
\(143\) | −0.184945 | − | 0.810295i | −0.0154658 | − | 0.0677603i | ||||
\(144\) | 0.583429 | − | 2.55617i | 0.0486191 | − | 0.213014i | ||||
\(145\) | −15.8103 | −1.31298 | ||||||||
\(146\) | 9.39008 | + | 4.52202i | 0.777128 | + | 0.374245i | ||||
\(147\) | 7.64952 | − | 3.68382i | 0.630922 | − | 0.303836i | ||||
\(148\) | −6.67113 | − | 29.2281i | −0.548364 | − | 2.40254i | ||||
\(149\) | 2.38550 | − | 10.4515i | 0.195428 | − | 0.856224i | −0.778188 | − | 0.628031i | \(-0.783861\pi\) |
0.973616 | − | 0.228193i | \(-0.0732818\pi\) | |||||||
\(150\) | 6.92129 | + | 8.67902i | 0.565121 | + | 0.708639i | ||||
\(151\) | 3.86458 | + | 16.9318i | 0.314495 | + | 1.37789i | 0.847057 | + | 0.531502i | \(0.178372\pi\) |
−0.532562 | + | 0.846391i | \(0.678771\pi\) | |||||||
\(152\) | 26.0329 | + | 12.5368i | 2.11155 | + | 1.01687i | ||||
\(153\) | 0.0149022 | − | 0.0652910i | 0.00120478 | − | 0.00527846i | ||||
\(154\) | −0.0843209 | − | 0.369434i | −0.00679477 | − | 0.0297698i | ||||
\(155\) | 1.10432 | + | 4.83836i | 0.0887015 | + | 0.388626i | ||||
\(156\) | −14.7884 | + | 18.5441i | −1.18402 | + | 1.48471i | ||||
\(157\) | −3.09483 | − | 13.5593i | −0.246994 | − | 1.08215i | −0.934497 | − | 0.355971i | \(-0.884150\pi\) |
0.687503 | − | 0.726182i | \(-0.258707\pi\) | |||||||
\(158\) | −5.84835 | − | 25.6233i | −0.465270 | − | 2.03848i | ||||
\(159\) | 0.333014 | − | 1.45903i | 0.0264097 | − | 0.115708i | ||||
\(160\) | −6.77890 | − | 3.26454i | −0.535919 | − | 0.258085i | ||||
\(161\) | 0.685817 | + | 0.859987i | 0.0540499 | + | 0.0677765i | ||||
\(162\) | 9.36030 | + | 4.50769i | 0.735415 | + | 0.354157i | ||||
\(163\) | −0.222269 | − | 0.107039i | −0.0174095 | − | 0.00838395i | 0.425159 | − | 0.905119i | \(-0.360218\pi\) |
−0.442568 | + | 0.896735i | \(0.645933\pi\) | |||||||
\(164\) | −15.9874 | − | 7.69911i | −1.24840 | − | 0.601200i | ||||
\(165\) | −0.156858 | − | 0.687238i | −0.0122114 | − | 0.0535014i | ||||
\(166\) | −3.79919 | + | 16.6454i | −0.294875 | + | 1.29193i | ||||
\(167\) | 1.22726 | − | 0.591017i | 0.0949682 | − | 0.0457343i | −0.385797 | − | 0.922584i | \(-0.626073\pi\) |
0.480765 | + | 0.876850i | \(0.340359\pi\) | |||||||
\(168\) | −3.10450 | + | 3.89291i | −0.239517 | + | 0.300345i | ||||
\(169\) | −7.98283 | + | 3.84433i | −0.614064 | + | 0.295717i | ||||
\(170\) | 0.370586 | + | 0.178465i | 0.0284226 | + | 0.0136876i | ||||
\(171\) | 4.97962 | − | 6.24424i | 0.380801 | − | 0.477509i | ||||
\(172\) | 24.5835 | 1.87447 | ||||||||
\(173\) | 5.42326 | − | 2.61171i | 0.412323 | − | 0.198564i | −0.216210 | − | 0.976347i | \(-0.569370\pi\) |
0.628534 | + | 0.777782i | \(0.283655\pi\) | |||||||
\(174\) | −3.96969 | − | 17.3923i | −0.300941 | − | 1.31851i | ||||
\(175\) | 0.674202 | + | 2.95387i | 0.0509649 | + | 0.223292i | ||||
\(176\) | −0.257853 | − | 0.323338i | −0.0194364 | − | 0.0243725i | ||||
\(177\) | −11.9979 | − | 5.77786i | −0.901814 | − | 0.434291i | ||||
\(178\) | −18.7876 | − | 23.5589i | −1.40819 | − | 1.76582i | ||||
\(179\) | 0.105221 | − | 0.131943i | 0.00786461 | − | 0.00986191i | −0.777884 | − | 0.628408i | \(-0.783707\pi\) |
0.785748 | + | 0.618546i | \(0.212278\pi\) | |||||||
\(180\) | 7.54676 | − | 9.46334i | 0.562502 | − | 0.705355i | ||||
\(181\) | 11.0937 | 0.824585 | 0.412293 | − | 0.911051i | \(-0.364728\pi\) | ||||
0.412293 | + | 0.911051i | \(0.364728\pi\) | |||||||
\(182\) | −8.97964 | + | 4.32437i | −0.665615 | + | 0.320543i | ||||
\(183\) | 1.34834 | + | 5.90744i | 0.0996718 | + | 0.436691i | ||||
\(184\) | 4.52820 | + | 2.18067i | 0.333823 | + | 0.160761i | ||||
\(185\) | 5.21468 | − | 22.8470i | 0.383391 | − | 1.67974i | ||||
\(186\) | −5.04522 | + | 2.42965i | −0.369933 | + | 0.178150i | ||||
\(187\) | −0.00658622 | − | 0.00825886i | −0.000481632 | − | 0.000603947i | ||||
\(188\) | −21.7553 | − | 10.4768i | −1.58667 | − | 0.764099i | ||||
\(189\) | 3.14239 | + | 3.94043i | 0.228575 | + | 0.286624i | ||||
\(190\) | 30.5840 | + | 38.3511i | 2.21880 | + | 2.78228i | ||||
\(191\) | −12.4584 | + | 5.99964i | −0.901457 | + | 0.434119i | −0.826415 | − | 0.563062i | \(-0.809623\pi\) |
−0.0750419 | + | 0.997180i | \(0.523909\pi\) | |||||||
\(192\) | 3.30615 | − | 14.4852i | 0.238601 | − | 1.04538i | ||||
\(193\) | 14.6612 | − | 18.3845i | 1.05533 | − | 1.32335i | 0.111195 | − | 0.993799i | \(-0.464532\pi\) |
0.944139 | − | 0.329548i | \(-0.106896\pi\) | |||||||
\(194\) | −9.25585 | −0.664531 | ||||||||
\(195\) | −16.7043 | + | 8.04439i | −1.19622 | + | 0.576071i | ||||
\(196\) | 20.7184 | − | 9.97746i | 1.47989 | − | 0.712676i | ||||
\(197\) | −20.0692 | −1.42987 | −0.714935 | − | 0.699191i | \(-0.753544\pi\) | ||||
−0.714935 | + | 0.699191i | \(0.753544\pi\) | |||||||
\(198\) | −0.431186 | + | 0.207648i | −0.0306430 | + | 0.0147569i | ||||
\(199\) | 11.7869 | 0.835550 | 0.417775 | − | 0.908550i | \(-0.362810\pi\) | ||||
0.417775 | + | 0.908550i | \(0.362810\pi\) | |||||||
\(200\) | 8.63148 | + | 10.8235i | 0.610338 | + | 0.765340i | ||||
\(201\) | −0.384997 | − | 1.68678i | −0.0271556 | − | 0.118976i | ||||
\(202\) | 21.5068 | − | 10.3571i | 1.51321 | − | 0.728725i | ||||
\(203\) | 1.08347 | − | 4.74701i | 0.0760449 | − | 0.333175i | ||||
\(204\) | −0.0670809 | + | 0.293900i | −0.00469660 | + | 0.0205771i | ||||
\(205\) | −8.64818 | − | 10.8445i | −0.604015 | − | 0.757411i | ||||
\(206\) | 11.5731 | + | 5.57333i | 0.806340 | + | 0.388313i | ||||
\(207\) | 0.866160 | − | 1.08613i | 0.0602023 | − | 0.0754913i | ||||
\(208\) | −6.78199 | + | 8.50435i | −0.470247 | + | 0.589671i | ||||
\(209\) | −0.280326 | − | 1.22819i | −0.0193906 | − | 0.0849556i | ||||
\(210\) | −7.61593 | + | 3.66764i | −0.525549 | + | 0.253091i | ||||
\(211\) | 4.82128 | + | 6.04569i | 0.331911 | + | 0.416203i | 0.919583 | − | 0.392896i | \(-0.128527\pi\) |
−0.587672 | + | 0.809099i | \(0.699955\pi\) | |||||||
\(212\) | 0.901954 | − | 3.95172i | 0.0619464 | − | 0.271405i | ||||
\(213\) | −0.570373 | − | 2.49897i | −0.0390813 | − | 0.171226i | ||||
\(214\) | −9.31990 | + | 40.8331i | −0.637095 | + | 2.79130i | ||||
\(215\) | 17.3133 | + | 8.33767i | 1.18076 | + | 0.568624i | ||||
\(216\) | 20.7480 | + | 9.99173i | 1.41173 | + | 0.679851i | ||||
\(217\) | −1.52838 | −0.103753 | ||||||||
\(218\) | −30.3292 | + | 14.6058i | −2.05416 | + | 0.989229i | ||||
\(219\) | −3.72276 | + | 4.66820i | −0.251561 | + | 0.315447i | ||||
\(220\) | −0.424842 | − | 1.86136i | −0.0286429 | − | 0.125493i | ||||
\(221\) | −0.173229 | + | 0.217222i | −0.0116527 | + | 0.0146120i | ||||
\(222\) | 26.4424 | 1.77470 | ||||||||
\(223\) | 10.1002 | − | 12.6652i | 0.676356 | − | 0.848124i | −0.318657 | − | 0.947870i | \(-0.603232\pi\) |
0.995013 | + | 0.0997462i | \(0.0318031\pi\) | |||||||
\(224\) | 1.44472 | − | 1.81163i | 0.0965296 | − | 0.121044i | ||||
\(225\) | 3.44762 | − | 1.66029i | 0.229841 | − | 0.110686i | ||||
\(226\) | −35.6108 | − | 17.1492i | −2.36879 | − | 1.14075i | ||||
\(227\) | 13.3567 | − | 16.7488i | 0.886515 | − | 1.11165i | −0.106576 | − | 0.994305i | \(-0.533989\pi\) |
0.993091 | − | 0.117350i | \(-0.0374398\pi\) | |||||||
\(228\) | −22.4152 | + | 28.1078i | −1.48448 | + | 1.86148i | ||||
\(229\) | 3.82640 | + | 1.84270i | 0.252856 | + | 0.121769i | 0.556019 | − | 0.831170i | \(-0.312328\pi\) |
−0.303163 | + | 0.952939i | \(0.598043\pi\) | |||||||
\(230\) | 5.31982 | + | 6.67084i | 0.350778 | + | 0.439862i | ||||
\(231\) | 0.217091 | 0.0142835 | ||||||||
\(232\) | −4.95057 | − | 21.6899i | −0.325021 | − | 1.42401i | ||||
\(233\) | −23.6838 | −1.55158 | −0.775790 | − | 0.630992i | \(-0.782648\pi\) | ||||
−0.775790 | + | 0.630992i | \(0.782648\pi\) | |||||||
\(234\) | 7.84817 | + | 9.84130i | 0.513051 | + | 0.643346i | ||||
\(235\) | −11.7683 | − | 14.7569i | −0.767677 | − | 0.962636i | ||||
\(236\) | −32.4957 | − | 15.6491i | −2.11529 | − | 1.01867i | ||||
\(237\) | 15.0570 | 0.978059 | ||||||||
\(238\) | −0.0789795 | + | 0.0990372i | −0.00511948 | + | 0.00641963i | ||||
\(239\) | −14.3273 | −0.926756 | −0.463378 | − | 0.886161i | \(-0.653363\pi\) | ||||
−0.463378 | + | 0.886161i | \(0.653363\pi\) | |||||||
\(240\) | −5.75204 | + | 7.21282i | −0.371292 | + | 0.465586i | ||||
\(241\) | −14.7815 | − | 7.11840i | −0.952161 | − | 0.458537i | −0.107718 | − | 0.994182i | \(-0.534354\pi\) |
−0.844443 | + | 0.535645i | \(0.820069\pi\) | |||||||
\(242\) | 5.83054 | − | 25.5452i | 0.374801 | − | 1.64211i | ||||
\(243\) | 6.85367 | − | 8.59423i | 0.439663 | − | 0.551320i | ||||
\(244\) | 3.65191 | + | 16.0001i | 0.233790 | + | 1.02430i | ||||
\(245\) | 17.9752 | 1.14840 | ||||||||
\(246\) | 9.75818 | − | 12.2364i | 0.622159 | − | 0.780163i | ||||
\(247\) | −29.8529 | + | 14.3764i | −1.89950 | + | 0.914749i | ||||
\(248\) | −6.29185 | + | 3.03000i | −0.399533 | + | 0.192405i | ||||
\(249\) | −8.81266 | − | 4.24395i | −0.558480 | − | 0.268950i | ||||
\(250\) | −2.47144 | − | 10.8281i | −0.156308 | − | 0.684829i | ||||
\(251\) | −7.17619 | −0.452957 | −0.226478 | − | 0.974016i | \(-0.572721\pi\) | ||||
−0.226478 | + | 0.974016i | \(0.572721\pi\) | |||||||
\(252\) | 2.32416 | + | 2.91441i | 0.146408 | + | 0.183590i | ||||
\(253\) | −0.0487602 | − | 0.213633i | −0.00306553 | − | 0.0134310i | ||||
\(254\) | −33.3664 | −2.09359 | ||||||||
\(255\) | −0.146921 | + | 0.184234i | −0.00920057 | + | 0.0115372i | ||||
\(256\) | 6.19384 | − | 27.1370i | 0.387115 | − | 1.69606i | ||||
\(257\) | −0.560964 | + | 2.45774i | −0.0349920 | + | 0.153310i | −0.989406 | − | 0.145177i | \(-0.953625\pi\) |
0.954414 | + | 0.298487i | \(0.0964820\pi\) | |||||||
\(258\) | −4.82488 | + | 21.1392i | −0.300384 | + | 1.31607i | ||||
\(259\) | 6.50238 | + | 3.13138i | 0.404038 | + | 0.194575i | ||||
\(260\) | −45.2430 | + | 21.7879i | −2.80585 | + | 1.35123i | ||||
\(261\) | −6.14947 | −0.380642 | ||||||||
\(262\) | 5.87748 | − | 2.83044i | 0.363112 | − | 0.174865i | ||||
\(263\) | −1.93056 | − | 8.45834i | −0.119043 | − | 0.521563i | −0.998924 | − | 0.0463691i | \(-0.985235\pi\) |
0.879881 | − | 0.475194i | \(-0.157622\pi\) | |||||||
\(264\) | 0.893691 | − | 0.430379i | 0.0550029 | − | 0.0264880i | ||||
\(265\) | 1.97547 | − | 2.47716i | 0.121352 | − | 0.152171i | ||||
\(266\) | −13.6107 | + | 6.55457i | −0.834526 | + | 0.401886i | ||||
\(267\) | 15.5535 | − | 7.49018i | 0.951860 | − | 0.458392i | ||||
\(268\) | −1.04275 | − | 4.56857i | −0.0636959 | − | 0.279070i | ||||
\(269\) | −18.7198 | + | 23.4739i | −1.14137 | + | 1.43123i | −0.255797 | + | 0.966731i | \(0.582338\pi\) |
−0.885573 | + | 0.464501i | \(0.846234\pi\) | |||||||
\(270\) | 24.3752 | + | 30.5655i | 1.48343 | + | 1.86016i | ||||
\(271\) | −7.26993 | + | 9.11621i | −0.441617 | + | 0.553770i | −0.951969 | − | 0.306196i | \(-0.900944\pi\) |
0.510352 | + | 0.859966i | \(0.329515\pi\) | |||||||
\(272\) | −0.0307634 | + | 0.134783i | −0.00186531 | + | 0.00817245i | ||||
\(273\) | −1.27056 | − | 5.56670i | −0.0768980 | − | 0.336912i | ||||
\(274\) | −2.76146 | − | 12.0987i | −0.166826 | − | 0.730911i | ||||
\(275\) | 0.134309 | − | 0.588447i | 0.00809916 | − | 0.0354847i | ||||
\(276\) | −3.89893 | + | 4.88910i | −0.234688 | + | 0.294289i | ||||
\(277\) | 14.9682 | + | 18.7695i | 0.899352 | + | 1.12775i | 0.991252 | + | 0.131984i | \(0.0421347\pi\) |
−0.0918996 | + | 0.995768i | \(0.529294\pi\) | |||||||
\(278\) | −10.0259 | + | 12.5721i | −0.601314 | + | 0.754023i | ||||
\(279\) | 0.429529 | + | 1.88189i | 0.0257152 | + | 0.112666i | ||||
\(280\) | −9.49777 | + | 4.57388i | −0.567600 | + | 0.273342i | ||||
\(281\) | −25.0804 | + | 12.0781i | −1.49617 | + | 0.720518i | −0.989888 | − | 0.141850i | \(-0.954695\pi\) |
−0.506283 | + | 0.862368i | \(0.668981\pi\) | |||||||
\(282\) | 13.2787 | − | 16.6510i | 0.790737 | − | 0.991553i | ||||
\(283\) | 9.13343 | − | 4.39843i | 0.542926 | − | 0.261460i | −0.142258 | − | 0.989830i | \(-0.545436\pi\) |
0.685184 | + | 0.728370i | \(0.259722\pi\) | |||||||
\(284\) | −1.54483 | − | 6.76835i | −0.0916689 | − | 0.401628i | ||||
\(285\) | −25.3193 | + | 12.1931i | −1.49978 | + | 0.722258i | ||||
\(286\) | 1.98548 | 0.117404 | ||||||||
\(287\) | 3.84867 | − | 1.85342i | 0.227180 | − | 0.109404i | ||||
\(288\) | −2.63667 | − | 1.26975i | −0.155367 | − | 0.0748208i | ||||
\(289\) | 3.78207 | − | 16.5703i | 0.222475 | − | 0.974725i | ||||
\(290\) | 8.40440 | − | 36.8221i | 0.493523 | − | 2.16227i | ||||
\(291\) | 1.17995 | − | 5.16970i | 0.0691699 | − | 0.303053i | ||||
\(292\) | −10.0829 | + | 12.6436i | −0.590060 | + | 0.739912i | ||||
\(293\) | 11.8874 | 0.694469 | 0.347234 | − | 0.937778i | \(-0.387121\pi\) | ||||
0.347234 | + | 0.937778i | \(0.387121\pi\) | |||||||
\(294\) | 4.51326 | + | 19.7739i | 0.263218 | + | 1.15324i | ||||
\(295\) | −17.5781 | − | 22.0423i | −1.02344 | − | 1.28335i | ||||
\(296\) | 32.9761 | 1.91670 | ||||||||
\(297\) | −0.223418 | − | 0.978857i | −0.0129640 | − | 0.0567990i | ||||
\(298\) | 23.0734 | + | 11.1116i | 1.33661 | + | 0.643677i | ||||
\(299\) | −5.19265 | + | 2.50065i | −0.300299 | + | 0.144616i | ||||
\(300\) | −15.5191 | + | 7.47360i | −0.895995 | + | 0.431488i | ||||
\(301\) | −3.68983 | + | 4.62690i | −0.212678 | + | 0.266690i | ||||
\(302\) | −41.4883 | −2.38738 | ||||||||
\(303\) | 3.04308 | + | 13.3326i | 0.174820 | + | 0.765938i | ||||
\(304\) | −10.2797 | + | 12.8903i | −0.589579 | + | 0.739309i | ||||
\(305\) | −2.85462 | + | 12.5069i | −0.163455 | + | 0.716143i | ||||
\(306\) | 0.144140 | + | 0.0694142i | 0.00823994 | + | 0.00396815i | ||||
\(307\) | −5.66567 | + | 7.10452i | −0.323357 | + | 0.405477i | −0.916766 | − | 0.399424i | \(-0.869210\pi\) |
0.593409 | + | 0.804901i | \(0.297782\pi\) | |||||||
\(308\) | 0.587981 | 0.0335033 | ||||||||
\(309\) | −4.58826 | + | 5.75349i | −0.261017 | + | 0.327305i | ||||
\(310\) | −11.8555 | −0.673347 | ||||||||
\(311\) | 0.348601 | + | 0.167877i | 0.0197674 | + | 0.00951946i | 0.443741 | − | 0.896155i | \(-0.353651\pi\) |
−0.423974 | + | 0.905674i | \(0.639365\pi\) | |||||||
\(312\) | −16.2664 | − | 20.3974i | −0.920904 | − | 1.15478i | ||||
\(313\) | −0.803415 | − | 1.00745i | −0.0454117 | − | 0.0569445i | 0.758607 | − | 0.651548i | \(-0.225880\pi\) |
−0.804019 | + | 0.594604i | \(0.797309\pi\) | |||||||
\(314\) | 33.2246 | 1.87497 | ||||||||
\(315\) | 0.648389 | + | 2.84078i | 0.0365326 | + | 0.160060i | ||||
\(316\) | 40.7813 | 2.29413 | ||||||||
\(317\) | 6.99298 | + | 8.76891i | 0.392765 | + | 0.492511i | 0.938419 | − | 0.345499i | \(-0.112290\pi\) |
−0.545654 | + | 0.838010i | \(0.683719\pi\) | |||||||
\(318\) | 3.22103 | + | 1.55117i | 0.180627 | + | 0.0869852i | ||||
\(319\) | −0.604773 | + | 0.758362i | −0.0338608 | + | 0.0424601i | ||||
\(320\) | 19.6124 | − | 24.5932i | 1.09637 | − | 1.37480i | ||||
\(321\) | −21.6186 | − | 10.4109i | −1.20663 | − | 0.581082i | ||||
\(322\) | −2.36746 | + | 1.14011i | −0.131933 | + | 0.0635358i | ||||
\(323\) | −0.262568 | + | 0.329250i | −0.0146097 | + | 0.0183200i | ||||
\(324\) | −10.0510 | + | 12.6035i | −0.558388 | + | 0.700196i | ||||
\(325\) | −15.8752 | −0.880599 | ||||||||
\(326\) | 0.367445 | − | 0.460762i | 0.0203509 | − | 0.0255192i | ||||
\(327\) | −4.29140 | − | 18.8019i | −0.237315 | − | 1.03975i | ||||
\(328\) | 12.1693 | − | 15.2599i | 0.671940 | − | 0.842586i | ||||
\(329\) | 5.23719 | − | 2.52210i | 0.288736 | − | 0.139048i | ||||
\(330\) | 1.68395 | 0.0926984 | ||||||||
\(331\) | 28.7276 | + | 13.8345i | 1.57901 | + | 0.760412i | 0.998548 | − | 0.0538738i | \(-0.0171569\pi\) |
0.580464 | + | 0.814286i | \(0.302871\pi\) | |||||||
\(332\) | −23.8687 | − | 11.4946i | −1.30997 | − | 0.630846i | ||||
\(333\) | 2.02826 | − | 8.88638i | 0.111148 | − | 0.486971i | ||||
\(334\) | 0.724089 | + | 3.17244i | 0.0396204 | + | 0.173588i | ||||
\(335\) | 0.815092 | − | 3.57115i | 0.0445333 | − | 0.195113i | ||||
\(336\) | −1.77144 | − | 2.22132i | −0.0966402 | − | 0.121183i | ||||
\(337\) | −24.4277 | + | 11.7638i | −1.33066 | + | 0.640813i | −0.957897 | − | 0.287112i | \(-0.907305\pi\) |
−0.372765 | + | 0.927926i | \(0.621590\pi\) | |||||||
\(338\) | −4.70991 | − | 20.6354i | −0.256185 | − | 1.12242i | ||||
\(339\) | 14.1181 | − | 17.7036i | 0.766792 | − | 0.961527i | ||||
\(340\) | −0.397930 | + | 0.498989i | −0.0215808 | + | 0.0270615i | ||||
\(341\) | 0.274320 | + | 0.132106i | 0.0148553 | + | 0.00715392i | ||||
\(342\) | 11.8957 | + | 14.9167i | 0.643246 | + | 0.806605i | ||||
\(343\) | −2.62177 | + | 11.4867i | −0.141562 | + | 0.620225i | ||||
\(344\) | −6.01707 | + | 26.3625i | −0.324419 | + | 1.42137i | ||||
\(345\) | −4.40406 | + | 2.12089i | −0.237107 | + | 0.114185i | ||||
\(346\) | 3.19975 | + | 14.0190i | 0.172020 | + | 0.753667i | ||||
\(347\) | −3.05753 | − | 3.83402i | −0.164137 | − | 0.205821i | 0.692961 | − | 0.720975i | \(-0.256306\pi\) |
−0.857097 | + | 0.515155i | \(0.827735\pi\) | |||||||
\(348\) | 27.6812 | 1.48387 | ||||||||
\(349\) | −22.9381 | + | 11.0464i | −1.22785 | + | 0.591301i | −0.931487 | − | 0.363775i | \(-0.881488\pi\) |
−0.296362 | + | 0.955076i | \(0.595773\pi\) | |||||||
\(350\) | −7.23792 | −0.386883 | ||||||||
\(351\) | −23.7926 | + | 11.4579i | −1.26995 | + | 0.611577i | ||||
\(352\) | −0.415892 | + | 0.200283i | −0.0221671 | + | 0.0106751i | ||||
\(353\) | −22.4974 | −1.19742 | −0.598708 | − | 0.800967i | \(-0.704319\pi\) | ||||
−0.598708 | + | 0.800967i | \(0.704319\pi\) | |||||||
\(354\) | 19.8343 | − | 24.8715i | 1.05418 | − | 1.32190i | ||||
\(355\) | 1.20756 | − | 5.29067i | 0.0640907 | − | 0.280800i | ||||
\(356\) | 42.1261 | − | 20.2868i | 2.23268 | − | 1.07520i | ||||
\(357\) | −0.0452471 | − | 0.0567381i | −0.00239473 | − | 0.00300290i | ||||
\(358\) | 0.251361 | + | 0.315197i | 0.0132848 | + | 0.0166587i | ||||
\(359\) | 25.7848 | + | 12.4173i | 1.36087 | + | 0.655360i | 0.964830 | − | 0.262874i | \(-0.0846703\pi\) |
0.396039 | + | 0.918234i | \(0.370385\pi\) | |||||||
\(360\) | 8.30101 | + | 10.4091i | 0.437502 | + | 0.548610i | ||||
\(361\) | −28.1306 | + | 13.5470i | −1.48056 | + | 0.712998i | ||||
\(362\) | −5.89712 | + | 25.8370i | −0.309946 | + | 1.35796i | ||||
\(363\) | 13.5246 | + | 6.51310i | 0.709857 | + | 0.341849i | ||||
\(364\) | −3.44127 | − | 15.0772i | −0.180372 | − | 0.790259i | ||||
\(365\) | −11.3893 | + | 5.48478i | −0.596141 | + | 0.287087i | ||||
\(366\) | −14.4751 | −0.756625 | ||||||||
\(367\) | 16.4118 | − | 20.5797i | 0.856689 | − | 1.07425i | −0.139771 | − | 0.990184i | \(-0.544637\pi\) |
0.996460 | − | 0.0840699i | \(-0.0267919\pi\) | |||||||
\(368\) | −1.78806 | + | 2.24215i | −0.0932090 | + | 0.116880i | ||||
\(369\) | −3.36373 | − | 4.21798i | −0.175109 | − | 0.219579i | ||||
\(370\) | 50.4383 | + | 24.2898i | 2.62216 | + | 1.26277i | ||||
\(371\) | 0.608382 | + | 0.762887i | 0.0315856 | + | 0.0396071i | ||||
\(372\) | −1.93348 | − | 8.47113i | −0.100246 | − | 0.439208i | ||||
\(373\) | 2.54763 | + | 11.1619i | 0.131911 | + | 0.577941i | 0.997074 | + | 0.0764488i | \(0.0243582\pi\) |
−0.865162 | + | 0.501492i | \(0.832785\pi\) | |||||||
\(374\) | 0.0227358 | − | 0.0109490i | 0.00117564 | − | 0.000566159i | ||||
\(375\) | 6.36291 | 0.328579 | ||||||||
\(376\) | 16.5598 | − | 20.7653i | 0.854006 | − | 1.07089i | ||||
\(377\) | 22.9857 | + | 11.0693i | 1.18382 | + | 0.570100i | ||||
\(378\) | −10.8476 | + | 5.22394i | −0.557942 | + | 0.268691i | ||||
\(379\) | 7.50738 | − | 9.41395i | 0.385628 | − | 0.483562i | −0.550693 | − | 0.834708i | \(-0.685636\pi\) |
0.936321 | + | 0.351146i | \(0.114208\pi\) | |||||||
\(380\) | −68.5762 | + | 33.0245i | −3.51788 | + | 1.69412i | ||||
\(381\) | 4.25360 | − | 18.6362i | 0.217918 | − | 0.954763i | ||||
\(382\) | −7.35050 | − | 32.2047i | −0.376084 | − | 1.64773i | ||||
\(383\) | 18.8253 | + | 9.06580i | 0.961929 | + | 0.463240i | 0.847853 | − | 0.530232i | \(-0.177895\pi\) |
0.114076 | + | 0.993472i | \(0.463609\pi\) | |||||||
\(384\) | 25.5745 | + | 12.3160i | 1.30509 | + | 0.628500i | ||||
\(385\) | 0.414096 | + | 0.199418i | 0.0211043 | + | 0.0101633i | ||||
\(386\) | 35.0238 | + | 43.9184i | 1.78266 | + | 2.23539i | ||||
\(387\) | 6.73406 | + | 3.24295i | 0.342312 | + | 0.164849i | ||||
\(388\) | 3.19585 | − | 14.0019i | 0.162245 | − | 0.710840i | ||||
\(389\) | −4.16931 | − | 18.2669i | −0.211392 | − | 0.926171i | −0.963622 | − | 0.267269i | \(-0.913879\pi\) |
0.752229 | − | 0.658901i | \(-0.228978\pi\) | |||||||
\(390\) | −9.85564 | − | 43.1804i | −0.499060 | − | 2.18652i | ||||
\(391\) | −0.0456715 | + | 0.0572702i | −0.00230971 | + | 0.00289628i | ||||
\(392\) | 5.62844 | + | 24.6598i | 0.284279 | + | 1.24551i | ||||
\(393\) | 0.831627 | + | 3.64360i | 0.0419500 | + | 0.183795i | ||||
\(394\) | 10.6683 | − | 46.7408i | 0.537460 | − | 2.35477i | ||||
\(395\) | 28.7210 | + | 13.8313i | 1.44511 | + | 0.695927i | ||||
\(396\) | −0.165243 | − | 0.723978i | −0.00830379 | − | 0.0363813i | ||||
\(397\) | 23.2383 | + | 29.1400i | 1.16630 | + | 1.46249i | 0.859807 | + | 0.510619i | \(0.170584\pi\) |
0.306492 | + | 0.951873i | \(0.400845\pi\) | |||||||
\(398\) | −6.26563 | + | 27.4515i | −0.314067 | + | 1.37602i | ||||
\(399\) | −1.92583 | − | 8.43762i | −0.0964122 | − | 0.422409i | ||||
\(400\) | −7.11709 | + | 3.42741i | −0.355854 | + | 0.171370i | ||||
\(401\) | 0.941896 | + | 0.453593i | 0.0470361 | + | 0.0226514i | 0.457254 | − | 0.889336i | \(-0.348833\pi\) |
−0.410218 | + | 0.911988i | \(0.634547\pi\) | |||||||
\(402\) | 4.13314 | 0.206142 | ||||||||
\(403\) | 1.78198 | − | 7.80737i | 0.0887669 | − | 0.388913i | ||||
\(404\) | 8.24206 | + | 36.1108i | 0.410058 | + | 1.79658i | ||||
\(405\) | −11.3532 | + | 5.46739i | −0.564143 | + | 0.271677i | ||||
\(406\) | 10.4798 | + | 5.04679i | 0.520102 | + | 0.250468i | ||||
\(407\) | −0.896412 | − | 1.12407i | −0.0444335 | − | 0.0557179i | ||||
\(408\) | −0.298750 | − | 0.143871i | −0.0147903 | − | 0.00712265i | ||||
\(409\) | 2.60588 | + | 1.25493i | 0.128853 | + | 0.0620522i | 0.497199 | − | 0.867636i | \(-0.334362\pi\) |
−0.368347 | + | 0.929689i | \(0.620076\pi\) | |||||||
\(410\) | 29.8538 | − | 14.3768i | 1.47437 | − | 0.710021i | ||||
\(411\) | 7.10958 | 0.350690 | ||||||||
\(412\) | −12.4271 | + | 15.5831i | −0.612239 | + | 0.767724i | ||||
\(413\) | 7.82275 | − | 3.76724i | 0.384932 | − | 0.185374i | ||||
\(414\) | 2.06915 | + | 2.59464i | 0.101693 | + | 0.127519i | ||||
\(415\) | −12.9115 | − | 16.1905i | −0.633800 | − | 0.794761i | ||||
\(416\) | 7.56982 | + | 9.49225i | 0.371141 | + | 0.465396i | ||||
\(417\) | −5.74381 | − | 7.20251i | −0.281276 | − | 0.352708i | ||||
\(418\) | 3.00945 | 0.147197 | ||||||||
\(419\) | −19.4145 | −0.948462 | −0.474231 | − | 0.880400i | \(-0.657274\pi\) | ||||
−0.474231 | + | 0.880400i | \(0.657274\pi\) | |||||||
\(420\) | −2.91866 | − | 12.7875i | −0.142416 | − | 0.623964i | ||||
\(421\) | 9.78703 | − | 12.2726i | 0.476991 | − | 0.598127i | −0.483877 | − | 0.875136i | \(-0.660772\pi\) |
0.960867 | + | 0.277009i | \(0.0893431\pi\) | |||||||
\(422\) | −16.6432 | + | 8.01495i | −0.810179 | + | 0.390162i | ||||
\(423\) | −4.57729 | − | 5.73974i | −0.222555 | − | 0.279076i | ||||
\(424\) | 4.01693 | + | 1.93445i | 0.195079 | + | 0.0939452i | ||||
\(425\) | −0.181788 | + | 0.0875446i | −0.00881802 | + | 0.00424654i | ||||
\(426\) | 6.12326 | 0.296673 | ||||||||
\(427\) | −3.55953 | − | 1.71418i | −0.172258 | − | 0.0829550i | ||||
\(428\) | −58.5530 | − | 28.1976i | −2.83026 | − | 1.36298i | ||||
\(429\) | −0.253112 | + | 1.10896i | −0.0122204 | + | 0.0535409i | ||||
\(430\) | −28.6217 | + | 35.8904i | −1.38026 | + | 1.73079i | ||||
\(431\) | −4.19387 | + | 2.01966i | −0.202012 | + | 0.0972837i | −0.532154 | − | 0.846647i | \(-0.678617\pi\) |
0.330143 | + | 0.943931i | \(0.392903\pi\) | |||||||
\(432\) | −8.19282 | + | 10.2735i | −0.394177 | + | 0.494282i | ||||
\(433\) | 10.1468 | + | 4.88642i | 0.487622 | + | 0.234826i | 0.661506 | − | 0.749940i | \(-0.269918\pi\) |
−0.173884 | + | 0.984766i | \(0.555632\pi\) | |||||||
\(434\) | 0.812451 | − | 3.55958i | 0.0389989 | − | 0.170865i | ||||
\(435\) | 19.4949 | + | 9.38827i | 0.934711 | + | 0.450133i | ||||
\(436\) | −11.6231 | − | 50.9241i | −0.556645 | − | 2.43882i | ||||
\(437\) | −7.87066 | + | 3.79031i | −0.376505 | + | 0.181315i | ||||
\(438\) | −8.89323 | − | 11.1518i | −0.424935 | − | 0.532852i | ||||
\(439\) | 4.74373 | − | 20.7836i | 0.226406 | − | 0.991948i | −0.726139 | − | 0.687548i | \(-0.758687\pi\) |
0.952544 | − | 0.304400i | \(-0.0984559\pi\) | |||||||
\(440\) | 2.10004 | 0.100116 | ||||||||
\(441\) | 6.99151 | 0.332929 | ||||||||
\(442\) | −0.413824 | − | 0.518918i | −0.0196836 | − | 0.0246824i | ||||
\(443\) | 21.8017 | + | 10.4992i | 1.03583 | + | 0.498830i | 0.872947 | − | 0.487815i | \(-0.162206\pi\) |
0.162884 | + | 0.986645i | \(0.447920\pi\) | |||||||
\(444\) | −9.12999 | + | 40.0011i | −0.433290 | + | 1.89837i | ||||
\(445\) | 36.5484 | 1.73256 | ||||||||
\(446\) | 24.1281 | + | 30.2556i | 1.14250 | + | 1.43265i | ||||
\(447\) | −9.14763 | + | 11.4708i | −0.432668 | + | 0.542548i | ||||
\(448\) | 6.04000 | + | 7.57392i | 0.285363 | + | 0.357834i | ||||
\(449\) | 14.3857 | + | 18.0391i | 0.678904 | + | 0.851318i | 0.995253 | − | 0.0973245i | \(-0.0310285\pi\) |
−0.316349 | + | 0.948643i | \(0.602457\pi\) | |||||||
\(450\) | 2.03411 | + | 8.91202i | 0.0958889 | + | 0.420117i | ||||
\(451\) | −0.850976 | −0.0400709 | ||||||||
\(452\) | 38.2384 | − | 47.9494i | 1.79858 | − | 2.25535i | ||||
\(453\) | 5.28899 | − | 23.1726i | 0.248499 | − | 1.08874i | ||||
\(454\) | 31.9075 | + | 40.0108i | 1.49749 | + | 1.87780i | ||||
\(455\) | 2.68996 | − | 11.7855i | 0.126107 | − | 0.552513i | ||||
\(456\) | −24.6555 | − | 30.9170i | −1.15460 | − | 1.44782i | ||||
\(457\) | −19.5523 | − | 9.41590i | −0.914619 | − | 0.440457i | −0.0834720 | − | 0.996510i | \(-0.526601\pi\) |
−0.831147 | + | 0.556053i | \(0.812315\pi\) | |||||||
\(458\) | −6.32565 | + | 7.93211i | −0.295578 | + | 0.370643i | ||||
\(459\) | −0.209265 | + | 0.262410i | −0.00976765 | + | 0.0122483i | ||||
\(460\) | −11.9282 | + | 5.74433i | −0.556156 | + | 0.267831i | ||||
\(461\) | −1.74754 | − | 7.65648i | −0.0813911 | − | 0.356598i | 0.917790 | − | 0.397067i | \(-0.129972\pi\) |
−0.999181 | + | 0.0404691i | \(0.987115\pi\) | |||||||
\(462\) | −0.115400 | + | 0.505601i | −0.00536890 | + | 0.0235227i | ||||
\(463\) | −25.6515 | − | 12.3531i | −1.19213 | − | 0.574098i | −0.270705 | − | 0.962662i | \(-0.587257\pi\) |
−0.921422 | + | 0.388565i | \(0.872971\pi\) | |||||||
\(464\) | 12.6946 | 0.589334 | ||||||||
\(465\) | 1.51136 | − | 6.62170i | 0.0700876 | − | 0.307074i | ||||
\(466\) | 12.5898 | − | 55.1593i | 0.583209 | − | 2.55521i | ||||
\(467\) | 0.159843 | − | 0.700318i | 0.00739665 | − | 0.0324069i | −0.971095 | − | 0.238694i | \(-0.923281\pi\) |
0.978492 | + | 0.206287i | \(0.0661380\pi\) | |||||||
\(468\) | −17.5974 | + | 8.47445i | −0.813439 | + | 0.391731i | ||||
\(469\) | 1.01637 | + | 0.489458i | 0.0469316 | + | 0.0226011i | ||||
\(470\) | 40.6244 | − | 19.5637i | 1.87386 | − | 0.902405i | ||||
\(471\) | −4.23553 | + | 18.5571i | −0.195163 | + | 0.855064i | ||||
\(472\) | 24.7352 | − | 31.0170i | 1.13853 | − | 1.42767i | ||||
\(473\) | 1.06219 | − | 0.511525i | 0.0488397 | − | 0.0235199i | ||||
\(474\) | −8.00395 | + | 35.0676i | −0.367634 | + | 1.61071i | ||||
\(475\) | −24.0626 | −1.10407 | ||||||||
\(476\) | −0.122550 | − | 0.153673i | −0.00561707 | − | 0.00704358i | ||||
\(477\) | 0.768363 | − | 0.963497i | 0.0351809 | − | 0.0441155i | ||||
\(478\) | 7.61605 | − | 33.3681i | 0.348350 | − | 1.52622i | ||||
\(479\) | −1.15709 | − | 5.06954i | −0.0528687 | − | 0.231633i | 0.941590 | − | 0.336762i | \(-0.109332\pi\) |
−0.994459 | + | 0.105129i | \(0.966475\pi\) | |||||||
\(480\) | 6.42021 | + | 8.05069i | 0.293041 | + | 0.367462i | ||||
\(481\) | −23.5772 | + | 29.5649i | −1.07503 | + | 1.34804i | ||||
\(482\) | 24.4362 | − | 30.6420i | 1.11304 | − | 1.39570i | ||||
\(483\) | −0.334981 | − | 1.46765i | −0.0152422 | − | 0.0667804i | ||||
\(484\) | 36.6308 | + | 17.6405i | 1.66504 | + | 0.801839i | ||||
\(485\) | 6.99959 | − | 8.77720i | 0.317835 | − | 0.398552i | ||||
\(486\) | 16.3726 | + | 20.5306i | 0.742676 | + | 0.931286i | ||||
\(487\) | −2.93812 | + | 12.8727i | −0.133139 | + | 0.583319i | 0.863710 | + | 0.503990i | \(0.168135\pi\) |
−0.996848 | + | 0.0793295i | \(0.974722\pi\) | |||||||
\(488\) | −18.0518 | −0.817165 | ||||||||
\(489\) | 0.210508 | + | 0.263969i | 0.00951952 | + | 0.0119371i | ||||
\(490\) | −9.55520 | + | 41.8641i | −0.431660 | + | 1.89123i | ||||
\(491\) | −9.52493 | + | 41.7315i | −0.429854 | + | 1.88331i | 0.0375924 | + | 0.999293i | \(0.488031\pi\) |
−0.467447 | + | 0.884021i | \(0.654826\pi\) | |||||||
\(492\) | 15.1415 | + | 18.9868i | 0.682629 | + | 0.855990i | ||||
\(493\) | 0.324253 | 0.0146036 | ||||||||
\(494\) | −17.6134 | − | 77.1692i | −0.792463 | − | 3.47201i | ||||
\(495\) | 0.129167 | − | 0.565918i | 0.00580563 | − | 0.0254361i | ||||
\(496\) | −0.886698 | − | 3.88488i | −0.0398139 | − | 0.174436i | ||||
\(497\) | 1.50575 | + | 0.725133i | 0.0675423 | + | 0.0325266i | ||||
\(498\) | 14.5687 | − | 18.2686i | 0.652839 | − | 0.818634i | ||||
\(499\) | 8.31694 | + | 36.4389i | 0.372317 | + | 1.63123i | 0.720253 | + | 0.693711i | \(0.244025\pi\) |
−0.347936 | + | 0.937518i | \(0.613117\pi\) | |||||||
\(500\) | 17.2337 | 0.770714 | ||||||||
\(501\) | −1.86422 | −0.0832873 | ||||||||
\(502\) | 3.81469 | − | 16.7132i | 0.170258 | − | 0.745948i | ||||
\(503\) | 29.0346 | + | 13.9823i | 1.29459 | + | 0.623442i | 0.949098 | − | 0.314980i | \(-0.101998\pi\) |
0.345492 | + | 0.938422i | \(0.387712\pi\) | |||||||
\(504\) | −3.69418 | + | 1.77902i | −0.164552 | + | 0.0792439i | ||||
\(505\) | −6.44263 | + | 28.2270i | −0.286693 | + | 1.25609i | ||||
\(506\) | 0.523467 | 0.0232709 | ||||||||
\(507\) | 12.1260 | 0.538535 | ||||||||
\(508\) | 11.5207 | − | 50.4754i | 0.511148 | − | 2.23949i | ||||
\(509\) | −18.8938 | −0.837455 | −0.418728 | − | 0.908112i | \(-0.637524\pi\) | ||||
−0.418728 | + | 0.908112i | \(0.637524\pi\) | |||||||
\(510\) | −0.350978 | − | 0.440112i | −0.0155415 | − | 0.0194885i | ||||
\(511\) | −0.866289 | − | 3.79546i | −0.0383224 | − | 0.167901i | ||||
\(512\) | 22.5354 | + | 10.8525i | 0.995935 | + | 0.479617i | ||||
\(513\) | −36.0631 | + | 17.3671i | −1.59222 | + | 0.766775i | ||||
\(514\) | −5.42586 | − | 2.61296i | −0.239324 | − | 0.115253i | ||||
\(515\) | −14.0371 | + | 6.75992i | −0.618550 | + | 0.297878i | ||||
\(516\) | −30.3127 | − | 14.5978i | −1.33444 | − | 0.642633i | ||||
\(517\) | −1.15799 | −0.0509284 | ||||||||
\(518\) | −10.7494 | + | 13.4794i | −0.472304 | + | 0.592250i | ||||
\(519\) | −8.23800 | −0.361608 | ||||||||
\(520\) | −12.2909 | − | 53.8499i | −0.538991 | − | 2.36147i | ||||
\(521\) | −14.4180 | −0.631662 | −0.315831 | − | 0.948815i | \(-0.602283\pi\) | ||||
−0.315831 | + | 0.948815i | \(0.602283\pi\) | |||||||
\(522\) | 3.26891 | − | 14.3220i | 0.143076 | − | 0.626858i | ||||
\(523\) | 38.3979 | − | 18.4914i | 1.67902 | − | 0.808574i | 0.682009 | − | 0.731344i | \(-0.261107\pi\) |
0.997013 | − | 0.0772305i | \(-0.0246077\pi\) | |||||||
\(524\) | 2.25243 | + | 9.86853i | 0.0983977 | + | 0.431109i | ||||
\(525\) | 0.922701 | − | 4.04262i | 0.0402700 | − | 0.176434i | ||||
\(526\) | 20.7256 | 0.903678 | ||||||||
\(527\) | −0.0226485 | − | 0.0992296i | −0.000986584 | − | 0.00432251i | ||||
\(528\) | 0.125946 | + | 0.551806i | 0.00548111 | + | 0.0240143i | ||||
\(529\) | 19.3533 | − | 9.32003i | 0.841446 | − | 0.405219i | ||||
\(530\) | 4.71916 | + | 5.91764i | 0.204987 | + | 0.257046i | ||||
\(531\) | −6.83706 | − | 8.57340i | −0.296703 | − | 0.372054i | ||||
\(532\) | −5.21603 | − | 22.8529i | −0.226144 | − | 0.990801i | ||||
\(533\) | 4.98050 | + | 21.8210i | 0.215729 | + | 0.945172i | ||||
\(534\) | 9.17665 | + | 40.2055i | 0.397112 | + | 1.73986i | ||||
\(535\) | −31.6735 | − | 39.7173i | −1.36937 | − | 1.71713i | ||||
\(536\) | 5.15441 | 0.222637 | ||||||||
\(537\) | −0.208092 | + | 0.100212i | −0.00897983 | + | 0.00432446i | ||||
\(538\) | −44.7195 | − | 56.0764i | −1.92799 | − | 2.41763i | ||||
\(539\) | 0.687584 | − | 0.862204i | 0.0296164 | − | 0.0371377i | ||||
\(540\) | −54.6547 | + | 26.3203i | −2.35196 | + | 1.13265i | ||||
\(541\) | −13.1445 | + | 16.4827i | −0.565126 | + | 0.708646i | −0.979496 | − | 0.201463i | \(-0.935431\pi\) |
0.414370 | + | 0.910109i | \(0.364002\pi\) | |||||||
\(542\) | −17.3670 | − | 21.7775i | −0.745977 | − | 0.935425i | ||||
\(543\) | −13.6790 | − | 6.58748i | −0.587024 | − | 0.282696i | ||||
\(544\) | 0.139028 | + | 0.0669523i | 0.00596077 | + | 0.00287056i | ||||
\(545\) | 9.08551 | − | 39.8062i | 0.389180 | − | 1.70511i | ||||
\(546\) | 13.6402 | 0.583746 | ||||||||
\(547\) | −22.0672 | + | 7.74845i | −0.943526 | + | 0.331300i | ||||
\(548\) | 19.2560 | 0.822575 | ||||||||
\(549\) | −1.11031 | + | 4.86458i | −0.0473869 | + | 0.207615i | ||||
\(550\) | 1.29909 | + | 0.625609i | 0.0553934 | + | 0.0266761i | ||||
\(551\) | 34.8401 | + | 16.7781i | 1.48424 | + | 0.714772i | ||||
\(552\) | −4.28860 | − | 5.37774i | −0.182535 | − | 0.228892i | ||||
\(553\) | −6.12103 | + | 7.67553i | −0.260293 | + | 0.326397i | ||||
\(554\) | −51.6707 | + | 24.8833i | −2.19528 | + | 1.05719i | ||||
\(555\) | −19.9966 | + | 25.0750i | −0.848810 | + | 1.06437i | ||||
\(556\) | −15.5569 | − | 19.5077i | −0.659758 | − | 0.827310i | ||||
\(557\) | 18.0424 | − | 8.68879i | 0.764483 | − | 0.368156i | −0.0106585 | − | 0.999943i | \(-0.503393\pi\) |
0.775142 | + | 0.631788i | \(0.217678\pi\) | |||||||
\(558\) | −4.61122 | −0.195209 | ||||||||
\(559\) | −19.3334 | − | 24.2433i | −0.817714 | − | 1.02538i | ||||
\(560\) | −1.33850 | − | 5.86436i | −0.0565620 | − | 0.247815i | ||||
\(561\) | 0.00321698 | + | 0.0140945i | 0.000135821 | + | 0.000595071i | ||||
\(562\) | −14.7976 | − | 64.8323i | −0.624197 | − | 2.73479i | ||||
\(563\) | −20.7471 | − | 26.0161i | −0.874387 | − | 1.09645i | −0.994609 | − | 0.103699i | \(-0.966932\pi\) |
0.120222 | − | 0.992747i | \(-0.461639\pi\) | |||||||
\(564\) | 20.6042 | + | 25.8368i | 0.867592 | + | 1.08793i | ||||
\(565\) | 43.1925 | − | 20.8004i | 1.81712 | − | 0.875079i | ||||
\(566\) | 5.38877 | + | 23.6097i | 0.226507 | + | 0.992391i | ||||
\(567\) | −0.863542 | − | 3.78343i | −0.0362654 | − | 0.158889i | ||||
\(568\) | 7.63626 | 0.320410 | ||||||||
\(569\) | −5.78273 | + | 25.3358i | −0.242425 | + | 1.06213i | 0.696378 | + | 0.717675i | \(0.254794\pi\) |
−0.938802 | + | 0.344456i | \(0.888063\pi\) | |||||||
\(570\) | −14.9385 | − | 65.4498i | −0.625704 | − | 2.74139i | ||||
\(571\) | −4.65912 | + | 2.24371i | −0.194978 | + | 0.0938965i | −0.528825 | − | 0.848731i | \(-0.677367\pi\) |
0.333847 | + | 0.942627i | \(0.391653\pi\) | |||||||
\(572\) | −0.685543 | + | 3.00356i | −0.0286640 | + | 0.125585i | ||||
\(573\) | 18.9244 | 0.790579 | ||||||||
\(574\) | 2.27073 | + | 9.94874i | 0.0947786 | + | 0.415252i | ||||
\(575\) | −4.18547 | −0.174546 | ||||||||
\(576\) | 7.62829 | − | 9.56557i | 0.317845 | − | 0.398565i | ||||
\(577\) | 8.09569 | 0.337028 | 0.168514 | − | 0.985699i | \(-0.446103\pi\) | ||||
0.168514 | + | 0.985699i | \(0.446103\pi\) | |||||||
\(578\) | 36.5816 | + | 17.6168i | 1.52159 | + | 0.732761i | ||||
\(579\) | −28.9948 | + | 13.9632i | −1.20498 | + | 0.580289i | ||||
\(580\) | 52.8012 | + | 25.4277i | 2.19245 | + | 1.05583i | ||||
\(581\) | 5.74597 | − | 2.76711i | 0.238383 | − | 0.114799i | ||||
\(582\) | 11.4129 | + | 5.49618i | 0.473081 | + | 0.227824i | ||||
\(583\) | −0.0432548 | − | 0.189512i | −0.00179143 | − | 0.00784877i | ||||
\(584\) | −11.0907 | − | 13.9073i | −0.458936 | − | 0.575487i | ||||
\(585\) | −15.2674 | −0.631230 | ||||||||
\(586\) | −6.31905 | + | 27.6856i | −0.261038 | + | 1.14368i | ||||
\(587\) | 32.3232 | 1.33412 | 0.667061 | − | 0.745004i | \(-0.267552\pi\) | ||||
0.667061 | + | 0.745004i | \(0.267552\pi\) | |||||||
\(588\) | −31.4715 | −1.29786 | ||||||||
\(589\) | 2.70100 | − | 11.8339i | 0.111293 | − | 0.487606i | ||||
\(590\) | 60.6803 | − | 29.2221i | 2.49817 | − | 1.20305i | ||||
\(591\) | 24.7463 | + | 11.9172i | 1.01793 | + | 0.490208i | ||||
\(592\) | −4.18704 | + | 18.3446i | −0.172086 | + | 0.753958i | ||||
\(593\) | −31.0520 | −1.27515 | −0.637577 | − | 0.770387i | \(-0.720063\pi\) | ||||
−0.637577 | + | 0.770387i | \(0.720063\pi\) | |||||||
\(594\) | 2.39851 | 0.0984119 | ||||||||
\(595\) | −0.0341887 | − | 0.149790i | −0.00140160 | − | 0.00614081i | ||||
\(596\) | −24.7760 | + | 31.0681i | −1.01486 | + | 1.27260i | ||||
\(597\) | −14.5338 | − | 6.99912i | −0.594830 | − | 0.286455i | ||||
\(598\) | −3.06369 | − | 13.4229i | −0.125284 | − | 0.548903i | ||||
\(599\) | 6.41597 | − | 28.1102i | 0.262149 | − | 1.14855i | −0.656765 | − | 0.754095i | \(-0.728076\pi\) |
0.918915 | − | 0.394456i | \(-0.129067\pi\) | |||||||
\(600\) | −4.21597 | − | 18.4714i | −0.172116 | − | 0.754091i | ||||
\(601\) | −24.3787 | −0.994428 | −0.497214 | − | 0.867628i | \(-0.665644\pi\) | ||||
−0.497214 | + | 0.867628i | \(0.665644\pi\) | |||||||
\(602\) | −8.81457 | − | 11.0531i | −0.359255 | − | 0.450491i | ||||
\(603\) | 0.317032 | − | 1.38901i | 0.0129105 | − | 0.0565648i | ||||
\(604\) | 14.3250 | − | 62.7620i | 0.582877 | − | 2.55375i | ||||
\(605\) | 19.8150 | + | 24.8472i | 0.805593 | + | 1.01018i | ||||
\(606\) | −32.6691 | −1.32709 | ||||||||
\(607\) | −9.71493 | + | 42.5639i | −0.394317 | + | 1.72761i | 0.254861 | + | 0.966978i | \(0.417970\pi\) |
−0.649178 | + | 0.760637i | \(0.724887\pi\) | |||||||
\(608\) | 11.4738 | + | 14.3877i | 0.465324 | + | 0.583498i | ||||
\(609\) | −4.15478 | + | 5.20992i | −0.168360 | + | 0.211117i | ||||
\(610\) | −27.6109 | − | 13.2967i | −1.11793 | − | 0.538369i | ||||
\(611\) | 6.77736 | + | 29.6936i | 0.274183 | + | 1.20127i | ||||
\(612\) | −0.154776 | + | 0.194083i | −0.00625644 | + | 0.00784533i | ||||
\(613\) | 5.97436 | − | 7.49162i | 0.241302 | − | 0.302584i | −0.646402 | − | 0.762997i | \(-0.723727\pi\) |
0.887705 | + | 0.460413i | \(0.152299\pi\) | |||||||
\(614\) | −13.5346 | − | 16.9719i | −0.546212 | − | 0.684928i | ||||
\(615\) | 4.22413 | + | 18.5071i | 0.170333 | + | 0.746279i | ||||
\(616\) | −0.143915 | + | 0.630531i | −0.00579848 | + | 0.0254048i | ||||
\(617\) | 26.9534 | − | 33.7985i | 1.08510 | − | 1.36067i | 0.157322 | − | 0.987547i | \(-0.449714\pi\) |
0.927780 | − | 0.373127i | \(-0.121715\pi\) | |||||||
\(618\) | −10.9608 | − | 13.7444i | −0.440908 | − | 0.552881i | ||||
\(619\) | −1.34844 | −0.0541985 | −0.0270993 | − | 0.999633i | \(-0.508627\pi\) | ||||
−0.0270993 | + | 0.999633i | \(0.508627\pi\) | |||||||
\(620\) | 4.09345 | − | 17.9346i | 0.164397 | − | 0.720270i | ||||
\(621\) | −6.27285 | + | 3.02085i | −0.251721 | + | 0.121222i | ||||
\(622\) | −0.576292 | + | 0.722647i | −0.0231072 | + | 0.0289755i | ||||
\(623\) | −2.50464 | + | 10.9736i | −0.100346 | + | 0.439646i | ||||
\(624\) | 13.4125 | − | 6.45911i | 0.536929 | − | 0.258571i | ||||
\(625\) | 27.4329 | + | 13.2110i | 1.09732 | + | 0.528440i | ||||
\(626\) | 2.77342 | − | 1.33561i | 0.110848 | − | 0.0533816i | ||||
\(627\) | −0.383649 | + | 1.68088i | −0.0153215 | + | 0.0671278i | ||||
\(628\) | −11.4718 | + | 50.2610i | −0.457773 | + | 2.00563i | ||||
\(629\) | −0.106947 | + | 0.468567i | −0.00426427 | + | 0.0186830i | ||||
\(630\) | −6.96080 | −0.277325 | ||||||||
\(631\) | 20.9029 | + | 10.0663i | 0.832132 | + | 0.400733i | 0.800914 | − | 0.598779i | \(-0.204347\pi\) |
0.0312174 | + | 0.999513i | \(0.490062\pi\) | |||||||
\(632\) | −9.98166 | + | 43.7325i | −0.397049 | + | 1.73959i | ||||
\(633\) | −2.35491 | − | 10.3175i | −0.0935994 | − | 0.410086i | ||||
\(634\) | −24.1400 | + | 11.6252i | −0.958721 | + | 0.461696i | ||||
\(635\) | 25.2328 | − | 31.6409i | 1.00133 | − | 1.25563i | ||||
\(636\) | −3.45871 | + | 4.33708i | −0.137147 | + | 0.171976i | ||||
\(637\) | −26.1331 | − | 12.5850i | −1.03543 | − | 0.498638i | ||||
\(638\) | −1.44473 | − | 1.81164i | −0.0571975 | − | 0.0717233i | ||||
\(639\) | 0.469683 | − | 2.05782i | 0.0185804 | − | 0.0814060i | ||||
\(640\) | 37.4694 | + | 46.9851i | 1.48111 | + | 1.85725i | ||||
\(641\) | −5.87986 | + | 25.7614i | −0.232241 | + | 1.01751i | 0.715536 | + | 0.698576i | \(0.246183\pi\) |
−0.947776 | + | 0.318936i | \(0.896674\pi\) | |||||||
\(642\) | 35.7389 | − | 44.8151i | 1.41050 | − | 1.76871i | ||||
\(643\) | −37.5812 | −1.48206 | −0.741028 | − | 0.671474i | \(-0.765662\pi\) | ||||
−0.741028 | + | 0.671474i | \(0.765662\pi\) | |||||||
\(644\) | −0.907283 | − | 3.97507i | −0.0357520 | − | 0.156640i | ||||
\(645\) | −16.3973 | − | 20.5615i | −0.645642 | − | 0.809609i | ||||
\(646\) | −0.627245 | − | 0.786540i | −0.0246786 | − | 0.0309460i | ||||
\(647\) | 0.883087 | − | 1.10736i | 0.0347177 | − | 0.0435346i | −0.764170 | − | 0.645015i | \(-0.776851\pi\) |
0.798887 | + | 0.601481i | \(0.205422\pi\) | |||||||
\(648\) | −11.0555 | − | 13.8632i | −0.434302 | − | 0.544597i | ||||
\(649\) | −1.72968 | −0.0678959 | ||||||||
\(650\) | 8.43889 | − | 36.9732i | 0.331000 | − | 1.45021i | ||||
\(651\) | 1.88457 | + | 0.907561i | 0.0738622 | + | 0.0355701i | ||||
\(652\) | 0.570153 | + | 0.714949i | 0.0223289 | + | 0.0279996i | ||||
\(653\) | 22.0859 | 0.864289 | 0.432144 | − | 0.901804i | \(-0.357757\pi\) | ||||
0.432144 | + | 0.901804i | \(0.357757\pi\) | |||||||
\(654\) | 46.0705 | 1.80150 | ||||||||
\(655\) | −1.76067 | + | 7.71401i | −0.0687952 | + | 0.301411i | ||||
\(656\) | 6.94391 | + | 8.70738i | 0.271114 | + | 0.339966i | ||||
\(657\) | −4.42988 | + | 2.13332i | −0.172826 | + | 0.0832286i | ||||
\(658\) | 3.08997 | + | 13.5380i | 0.120460 | + | 0.527768i | ||||
\(659\) | −27.1925 | − | 13.0952i | −1.05927 | − | 0.510117i | −0.178636 | − | 0.983915i | \(-0.557168\pi\) |
−0.880634 | + | 0.473798i | \(0.842883\pi\) | |||||||
\(660\) | −0.581432 | + | 2.54742i | −0.0226322 | + | 0.0991582i | ||||
\(661\) | −4.11102 | − | 1.97976i | −0.159900 | − | 0.0770039i | 0.352222 | − | 0.935916i | \(-0.385426\pi\) |
−0.512122 | + | 0.858913i | \(0.671140\pi\) | |||||||
\(662\) | −47.4912 | + | 59.5521i | −1.84580 | + | 2.31456i | ||||
\(663\) | 0.342588 | − | 0.164982i | 0.0133050 | − | 0.00640736i | ||||
\(664\) | 18.1685 | − | 22.7826i | 0.705075 | − | 0.884136i | ||||
\(665\) | 4.07726 | − | 17.8636i | 0.158109 | − | 0.692722i | ||||
\(666\) | 19.6181 | + | 9.44757i | 0.760185 | + | 0.366086i | ||||
\(667\) | 6.06013 | + | 2.91841i | 0.234649 | + | 0.113001i | ||||
\(668\) | −5.04917 | −0.195358 | ||||||||
\(669\) | −19.9747 | + | 9.61929i | −0.772265 | + | 0.371903i | ||||
\(670\) | 7.88388 | + | 3.79668i | 0.304581 | + | 0.146678i | ||||
\(671\) | 0.490714 | + | 0.615336i | 0.0189438 | + | 0.0237548i | ||||
\(672\) | −2.85717 | + | 1.37594i | −0.110218 | + | 0.0530780i | ||||
\(673\) | 10.0275 | − | 12.5741i | 0.386533 | − | 0.484697i | −0.550056 | − | 0.835128i | \(-0.685394\pi\) |
0.936588 | + | 0.350431i | \(0.113965\pi\) | |||||||
\(674\) | −14.4125 | − | 63.1451i | −0.555147 | − | 2.43226i | ||||
\(675\) | −19.1777 | −0.738149 | ||||||||
\(676\) | 32.8428 | 1.26318 | ||||||||
\(677\) | 3.21821 | + | 4.03551i | 0.123686 | + | 0.155097i | 0.839819 | − | 0.542867i | \(-0.182661\pi\) |
−0.716133 | + | 0.697964i | \(0.754090\pi\) | |||||||
\(678\) | 33.7265 | + | 42.2917i | 1.29526 | + | 1.62420i | ||||
\(679\) | 2.15565 | + | 2.70310i | 0.0827263 | + | 0.103735i | ||||
\(680\) | −0.437701 | − | 0.548860i | −0.0167851 | − | 0.0210478i | ||||
\(681\) | −26.4150 | + | 12.7208i | −1.01222 | + | 0.487461i | ||||
\(682\) | −0.453494 | + | 0.568663i | −0.0173652 | + | 0.0217752i | ||||
\(683\) | −50.7266 | −1.94100 | −0.970500 | − | 0.241100i | \(-0.922492\pi\) | ||||
−0.970500 | + | 0.241100i | \(0.922492\pi\) | |||||||
\(684\) | −26.6728 | + | 12.8450i | −1.01986 | + | 0.491140i | ||||
\(685\) | 13.5614 | + | 6.53081i | 0.518153 | + | 0.249529i | ||||
\(686\) | −25.3588 | − | 12.2121i | −0.968202 | − | 0.466262i | ||||
\(687\) | −3.62394 | − | 4.54428i | −0.138262 | − | 0.173375i | ||||
\(688\) | −13.9015 | − | 6.69459i | −0.529988 | − | 0.255229i | ||||
\(689\) | −4.60636 | + | 2.21831i | −0.175488 | + | 0.0845107i | ||||
\(690\) | −2.59842 | − | 11.3844i | −0.0989201 | − | 0.433397i | ||||
\(691\) | 8.46427 | − | 37.0844i | 0.321996 | − | 1.41076i | −0.512000 | − | 0.858986i | \(-0.671095\pi\) |
0.833996 | − | 0.551771i | \(-0.186048\pi\) | |||||||
\(692\) | −22.3123 | −0.848186 | ||||||||
\(693\) | 0.161063 | + | 0.0775640i | 0.00611829 | + | 0.00294641i | ||||
\(694\) | 10.5547 | − | 5.08287i | 0.400650 | − | 0.192943i | ||||
\(695\) | −4.34002 | − | 19.0149i | −0.164626 | − | 0.721275i | ||||
\(696\) | −6.77526 | + | 29.6844i | −0.256816 | + | 1.12518i | ||||
\(697\) | 0.177365 | + | 0.222408i | 0.00671817 | + | 0.00842432i | ||||
\(698\) | −13.5336 | − | 59.2945i | −0.512254 | − | 2.24433i | ||||
\(699\) | 29.2033 | + | 14.0636i | 1.10457 | + | 0.531934i | ||||
\(700\) | 2.49910 | − | 10.9493i | 0.0944570 | − | 0.413843i | ||||
\(701\) | −8.28409 | − | 36.2950i | −0.312886 | − | 1.37084i | −0.849756 | − | 0.527177i | \(-0.823251\pi\) |
0.536870 | − | 0.843665i | \(-0.319607\pi\) | |||||||
\(702\) | −14.0377 | − | 61.5033i | −0.529820 | − | 2.32129i | ||||
\(703\) | −35.7367 | + | 44.8124i | −1.34783 | + | 1.69013i | ||||
\(704\) | −0.429432 | − | 1.88146i | −0.0161848 | − | 0.0709104i | ||||
\(705\) | 5.74811 | + | 25.1841i | 0.216486 | + | 0.948488i | ||||
\(706\) | 11.9591 | − | 52.3961i | 0.450086 | − | 1.97195i | ||||
\(707\) | −8.03357 | − | 3.86876i | −0.302133 | − | 0.145500i | ||||
\(708\) | 30.7763 | + | 38.5922i | 1.15664 | + | 1.45039i | ||||
\(709\) | −9.18087 | − | 4.42127i | −0.344795 | − | 0.166044i | 0.253469 | − | 0.967343i | \(-0.418428\pi\) |
−0.598264 | + | 0.801299i | \(0.704143\pi\) | |||||||
\(710\) | 11.6800 | + | 5.62478i | 0.438342 | + | 0.211094i | ||||
\(711\) | 11.1711 | + | 5.37971i | 0.418948 | + | 0.201755i | ||||
\(712\) | 11.4441 | + | 50.1400i | 0.428887 | + | 1.87908i | ||||
\(713\) | 0.469816 | − | 2.05840i | 0.0175947 | − | 0.0770876i | ||||
\(714\) | 0.156195 | − | 0.0752193i | 0.00584543 | − | 0.00281501i | ||||
\(715\) | −1.50149 | + | 1.88280i | −0.0561524 | + | 0.0704128i | ||||
\(716\) | −0.563608 | + | 0.271419i | −0.0210630 | + | 0.0101434i | ||||
\(717\) | 17.6663 | + | 8.50763i | 0.659759 | + | 0.317723i | ||||
\(718\) | −42.6263 | + | 53.4517i | −1.59080 | + | 1.99480i | ||||
\(719\) | 15.7704 | 0.588138 | 0.294069 | − | 0.955784i | \(-0.404990\pi\) | ||||
0.294069 | + | 0.955784i | \(0.404990\pi\) | |||||||
\(720\) | −6.84460 | + | 3.29619i | −0.255083 | + | 0.122842i | ||||
\(721\) | −1.06769 | − | 4.67786i | −0.0397629 | − | 0.174212i | ||||
\(722\) | −16.5972 | − | 72.7169i | −0.617683 | − | 2.70624i | ||||
\(723\) | 13.9994 | + | 17.5547i | 0.520643 | + | 0.652866i | ||||
\(724\) | −37.0491 | − | 17.8419i | −1.37692 | − | 0.663089i | ||||
\(725\) | 11.5516 | + | 14.4852i | 0.429015 | + | 0.537968i | ||||
\(726\) | −22.3583 | + | 28.0364i | −0.829793 | + | 1.04053i | ||||
\(727\) | −6.47478 | + | 8.11911i | −0.240136 | + | 0.301121i | −0.887266 | − | 0.461259i | \(-0.847398\pi\) |
0.647129 | + | 0.762380i | \(0.275969\pi\) | |||||||
\(728\) | 17.0106 | 0.630453 | ||||||||
\(729\) | −25.3091 | + | 12.1882i | −0.937373 | + | 0.451415i | ||||
\(730\) | −6.71972 | − | 29.4410i | −0.248708 | − | 1.08966i | ||||
\(731\) | −0.355078 | − | 0.170997i | −0.0131330 | − | 0.00632454i | ||||
\(732\) | 4.99794 | − | 21.8974i | 0.184729 | − | 0.809351i | ||||
\(733\) | 11.5966 | − | 5.58464i | 0.428331 | − | 0.206273i | −0.207282 | − | 0.978281i | \(-0.566462\pi\) |
0.635613 | + | 0.772008i | \(0.280747\pi\) | |||||||
\(734\) | 39.2058 | + | 49.1625i | 1.44711 | + | 1.81462i | ||||
\(735\) | −22.1644 | − | 10.6738i | −0.817545 | − | 0.393709i | ||||
\(736\) | 1.99577 | + | 2.50261i | 0.0735649 | + | 0.0922475i | ||||
\(737\) | −0.140116 | − | 0.175700i | −0.00516123 | − | 0.00647198i | ||||
\(738\) | 11.6117 | − | 5.59189i | 0.427432 | − | 0.205840i | ||||
\(739\) | −3.15748 | + | 13.8338i | −0.116150 | + | 0.508885i | 0.883065 | + | 0.469252i | \(0.155476\pi\) |
−0.999214 | + | 0.0396338i | \(0.987381\pi\) | |||||||
\(740\) | −54.1600 | + | 67.9145i | −1.99096 | + | 2.49659i | ||||
\(741\) | 45.3470 | 1.66586 | ||||||||
\(742\) | −2.10015 | + | 1.01138i | −0.0770991 | + | 0.0371290i | ||||
\(743\) | 4.27704 | − | 2.05971i | 0.156909 | − | 0.0755635i | −0.353781 | − | 0.935328i | \(-0.615104\pi\) |
0.510690 | + | 0.859765i | \(0.329390\pi\) | |||||||
\(744\) | 9.55739 | 0.350391 | ||||||||
\(745\) | −27.9859 | + | 13.4773i | −1.02532 | + | 0.493770i | ||||
\(746\) | −27.3501 | −1.00136 | ||||||||
\(747\) | −5.02195 | − | 6.29733i | −0.183744 | − | 0.230407i | ||||
\(748\) | 0.00871306 | + | 0.0381744i | 0.000318581 | + | 0.00139579i | ||||
\(749\) | 14.0956 | − | 6.78807i | 0.515041 | − | 0.248031i | ||||
\(750\) | −3.38237 | + | 14.8191i | −0.123507 | + | 0.541118i | ||||
\(751\) | −10.7868 | + | 47.2599i | −0.393615 | + | 1.72454i | 0.258138 | + | 0.966108i | \(0.416891\pi\) |
−0.651753 | + | 0.758431i | \(0.725966\pi\) | |||||||
\(752\) | 9.44913 | + | 11.8488i | 0.344574 | + | 0.432082i | ||||
\(753\) | 8.84860 | + | 4.26126i | 0.322461 | + | 0.155289i | ||||
\(754\) | −37.9990 | + | 47.6492i | −1.38384 | + | 1.73528i | ||||
\(755\) | 31.3748 | − | 39.3428i | 1.14185 | − | 1.43183i | ||||
\(756\) | −4.15714 | − | 18.2136i | −0.151194 | − | 0.662423i | ||||
\(757\) | 22.0987 | − | 10.6422i | 0.803191 | − | 0.386796i | 0.0131984 | − | 0.999913i | \(-0.495799\pi\) |
0.789992 | + | 0.613117i | \(0.210084\pi\) | |||||||
\(758\) | 17.9342 | + | 22.4888i | 0.651400 | + | 0.816830i | ||||
\(759\) | −0.0667324 | + | 0.292374i | −0.00242223 | + | 0.0106125i | ||||
\(760\) | −18.6297 | − | 81.6219i | −0.675769 | − | 2.96074i | ||||
\(761\) | 8.71712 | − | 38.1922i | 0.315995 | − | 1.38447i | −0.528514 | − | 0.848925i | \(-0.677251\pi\) |
0.844509 | − | 0.535541i | \(-0.179892\pi\) | |||||||
\(762\) | 41.1424 | + | 19.8131i | 1.49043 | + | 0.717754i | ||||
\(763\) | 11.3291 | + | 5.45579i | 0.410140 | + | 0.197513i | ||||
\(764\) | 51.2560 | 1.85438 | ||||||||
\(765\) | −0.174828 | + | 0.0841928i | −0.00632093 | + | 0.00304400i | ||||
\(766\) | −31.1212 | + | 39.0247i | −1.12445 | + | 1.41002i | ||||
\(767\) | 10.1233 | + | 44.3530i | 0.365531 | + | 1.60149i | ||||
\(768\) | −23.7514 | + | 29.7833i | −0.857055 | + | 1.07471i | ||||
\(769\) | 32.1454 | 1.15919 | 0.579596 | − | 0.814904i | \(-0.303211\pi\) | ||||
0.579596 | + | 0.814904i | \(0.303211\pi\) | |||||||
\(770\) | −0.684565 | + | 0.858417i | −0.0246700 | + | 0.0309352i | ||||
\(771\) | 2.15112 | − | 2.69742i | 0.0774707 | − | 0.0971452i | ||||
\(772\) | −78.5312 | + | 37.8186i | −2.82640 | + | 1.36112i | ||||
\(773\) | 6.52518 | + | 3.14236i | 0.234694 | + | 0.113023i | 0.547535 | − | 0.836783i | \(-0.315566\pi\) |
−0.312841 | + | 0.949806i | \(0.601281\pi\) | |||||||
\(774\) | −11.1325 | + | 13.9597i | −0.400148 | + | 0.501770i | ||||
\(775\) | 3.62599 | − | 4.54684i | 0.130249 | − | 0.163327i | ||||
\(776\) | 14.2330 | + | 6.85424i | 0.510934 | + | 0.246053i | ||||
\(777\) | −6.15833 | − | 7.72230i | −0.220929 | − | 0.277036i | ||||
\(778\) | 44.7598 | 1.60471 | ||||||||
\(779\) | 7.54909 | + | 33.0747i | 0.270474 | + | 1.18502i | ||||
\(780\) | 68.7247 | 2.46074 | ||||||||
\(781\) | −0.207582 | − | 0.260299i | −0.00742786 | − | 0.00931425i | ||||
\(782\) | −0.109104 | − | 0.136812i | −0.00390154 | − | 0.00489238i | ||||
\(783\) | 27.7673 | + | 13.3720i | 0.992322 | + | 0.477877i | ||||
\(784\) | −14.4329 | −0.515461 | ||||||||
\(785\) | −25.1256 | + | 31.5065i | −0.896770 | + | 1.12451i | ||||
\(786\) | −8.92796 | −0.318450 | ||||||||
\(787\) | −27.5694 | + | 34.5710i | −0.982744 | + | 1.23232i | −0.0101176 | + | 0.999949i | \(0.503221\pi\) |
−0.972627 | + | 0.232373i | \(0.925351\pi\) | |||||||
\(788\) | 67.0243 | + | 32.2772i | 2.38764 | + | 1.14983i | ||||
\(789\) | −2.64213 | + | 11.5759i | −0.0940623 | + | 0.412114i | ||||
\(790\) | −47.4802 | + | 59.5383i | −1.68927 | + | 2.11828i | ||||
\(791\) | 3.28530 | + | 14.3938i | 0.116812 | + | 0.511786i | ||||
\(792\) | 0.816815 | 0.0290243 | ||||||||
\(793\) | 12.9066 | − | 16.1844i | 0.458328 | − | 0.574725i | ||||
\(794\) | −80.2195 | + | 38.6317i | −2.84688 | + | 1.37099i | ||||
\(795\) | −3.90681 | + | 1.88142i | −0.138560 | + | 0.0667271i | ||||
\(796\) | −39.3643 | − | 18.9568i | −1.39523 | − | 0.671907i | ||||
\(797\) | −0.490291 | − | 2.14810i | −0.0173670 | − | 0.0760897i | 0.965502 | − | 0.260396i | \(-0.0838532\pi\) |
−0.982869 | + | 0.184307i | \(0.940996\pi\) | |||||||
\(798\) | 20.6748 | 0.731881 | ||||||||
\(799\) | 0.241354 | + | 0.302649i | 0.00853850 | + | 0.0107069i | ||||
\(800\) | 1.96197 | + | 8.59593i | 0.0693659 | + | 0.303912i | ||||
\(801\) | 14.2156 | 0.502283 | ||||||||
\(802\) | −1.55710 | + | 1.95254i | −0.0549832 | + | 0.0689467i | ||||
\(803\) | −0.172575 | + | 0.756102i | −0.00609005 | + | 0.0266823i | ||||
\(804\) | −1.42709 | + | 6.25247i | −0.0503294 | + | 0.220508i | ||||
\(805\) | 0.709203 | − | 3.10722i | 0.0249961 | − | 0.109515i | ||||
\(806\) | 17.2360 | + | 8.30042i | 0.607112 | + | 0.292370i | ||||
\(807\) | 37.0215 | − | 17.8286i | 1.30322 | − | 0.627596i | ||||
\(808\) | −40.7414 | −1.43328 | ||||||||
\(809\) | 37.3830 | − | 18.0027i | 1.31432 | − | 0.632941i | 0.360339 | − | 0.932821i | \(-0.382661\pi\) |
0.953977 | + | 0.299880i | \(0.0969467\pi\) | |||||||
\(810\) | −6.69841 | − | 29.3477i | −0.235358 | − | 1.03117i | ||||
\(811\) | 35.1159 | − | 16.9109i | 1.23308 | − | 0.593822i | 0.300159 | − | 0.953889i | \(-0.402960\pi\) |
0.932926 | + | 0.360067i | \(0.117246\pi\) | |||||||
\(812\) | −11.2530 | + | 14.1109i | −0.394904 | + | 0.495194i | ||||
\(813\) | 14.3775 | − | 6.92382i | 0.504239 | − | 0.242829i | ||||
\(814\) | 3.09444 | − | 1.49021i | 0.108460 | − | 0.0522317i | ||||
\(815\) | 0.159060 | + | 0.696887i | 0.00557163 | + | 0.0244109i | ||||
\(816\) | 0.117968 | − | 0.147927i | 0.00412971 | − | 0.00517849i | ||||
\(817\) | −29.3042 | − | 36.7462i | −1.02522 | − | 1.28559i | ||||
\(818\) | −4.30793 | + | 5.40198i | −0.150623 | + | 0.188876i | ||||
\(819\) | 1.04627 | − | 4.58400i | 0.0365595 | − | 0.160178i | ||||
\(820\) | 11.4409 | + | 50.1257i | 0.399533 | + | 1.75047i | ||||
\(821\) | −4.25814 | − | 18.6561i | −0.148610 | − | 0.651104i | −0.993272 | − | 0.115804i | \(-0.963056\pi\) |
0.844662 | − | 0.535300i | \(-0.179802\pi\) | |||||||
\(822\) | −3.77928 | + | 16.5581i | −0.131817 | + | 0.577530i | ||||
\(823\) | 21.1783 | − | 26.5568i | 0.738230 | − | 0.925711i | −0.260985 | − | 0.965343i | \(-0.584047\pi\) |
0.999214 | + | 0.0396322i | \(0.0126186\pi\) | |||||||
\(824\) | −13.6691 | − | 17.1405i | −0.476186 | − | 0.597119i | ||||
\(825\) | −0.515034 | + | 0.645832i | −0.0179312 | + | 0.0224850i | ||||
\(826\) | 4.61546 | + | 20.2217i | 0.160592 | + | 0.703601i | ||||
\(827\) | −1.03741 | + | 0.499588i | −0.0360741 | + | 0.0173724i | −0.451834 | − | 0.892102i | \(-0.649230\pi\) |
0.415760 | + | 0.909474i | \(0.363516\pi\) | |||||||
\(828\) | −4.63951 | + | 2.23427i | −0.161234 | + | 0.0776462i | ||||
\(829\) | −1.68337 | + | 2.11087i | −0.0584657 | + | 0.0733137i | −0.810205 | − | 0.586147i | \(-0.800644\pi\) |
0.751739 | + | 0.659461i | \(0.229215\pi\) | |||||||
\(830\) | 44.5709 | − | 21.4642i | 1.54708 | − | 0.745034i | ||||
\(831\) | −7.31109 | − | 32.0320i | −0.253619 | − | 1.11118i | ||||
\(832\) | −45.7318 | + | 22.0233i | −1.58546 | + | 0.763519i | ||||
\(833\) | −0.368653 | −0.0127731 | ||||||||
\(834\) | 19.8278 | − | 9.54857i | 0.686581 | − | 0.330640i | ||||
\(835\) | −3.55596 | − | 1.71246i | −0.123059 | − | 0.0592622i | ||||
\(836\) | −1.03910 | + | 4.55259i | −0.0359380 | + | 0.157454i | ||||
\(837\) | 2.15268 | − | 9.43150i | 0.0744075 | − | 0.326000i | ||||
\(838\) | 10.3203 | − | 45.2162i | 0.356509 | − | 1.56197i | ||||
\(839\) | 4.13364 | − | 5.18342i | 0.142709 | − | 0.178951i | −0.705340 | − | 0.708869i | \(-0.749206\pi\) |
0.848049 | + | 0.529918i | \(0.177777\pi\) | |||||||
\(840\) | 14.4272 | 0.497786 | ||||||||
\(841\) | −0.172285 | − | 0.754831i | −0.00594087 | − | 0.0260287i | ||||
\(842\) | 23.3800 | + | 29.3177i | 0.805730 | + | 1.01035i | ||||
\(843\) | 38.0974 | 1.31214 | ||||||||
\(844\) | −6.37818 | − | 27.9446i | −0.219546 | − | 0.961894i | ||||
\(845\) | 23.1301 | + | 11.1389i | 0.795700 | + | 0.383189i | ||||
\(846\) | 15.8009 | − | 7.60934i | 0.543248 | − | 0.261614i | ||||
\(847\) | −8.81820 | + | 4.24662i | −0.302997 | + | 0.145916i | ||||
\(848\) | −1.58617 | + | 1.98900i | −0.0544693 | + | 0.0683024i | ||||
\(849\) | −13.8738 | −0.476147 | ||||||||
\(850\) | −0.107256 | − | 0.469919i | −0.00367885 | − | 0.0161181i | ||||
\(851\) | −6.21608 | + | 7.79472i | −0.213085 | + | 0.267200i | ||||
\(852\) | −2.11423 | + | 9.26304i | −0.0724323 | + | 0.317347i | ||||
\(853\) | 40.7485 | + | 19.6234i | 1.39520 | + | 0.671893i | 0.972182 | − | 0.234228i | \(-0.0752561\pi\) |
0.423019 | + | 0.906121i | \(0.360970\pi\) | |||||||
\(854\) | 5.88446 | − | 7.37888i | 0.201362 | − | 0.252500i | ||||
\(855\) | −23.1413 | −0.791415 | ||||||||
\(856\) | 44.5696 | − | 55.8886i | 1.52336 | − | 1.91023i | ||||
\(857\) | 44.7577 | 1.52889 | 0.764447 | − | 0.644687i | \(-0.223012\pi\) | ||||
0.764447 | + | 0.644687i | \(0.223012\pi\) | |||||||
\(858\) | −2.44819 | − | 1.17899i | −0.0835800 | − | 0.0402500i | ||||
\(859\) | 2.65798 | + | 3.33300i | 0.0906891 | + | 0.113721i | 0.825106 | − | 0.564978i | \(-0.191116\pi\) |
−0.734417 | + | 0.678699i | \(0.762544\pi\) | |||||||
\(860\) | −44.4113 | − | 55.6900i | −1.51441 | − | 1.89901i | ||||
\(861\) | −5.84618 | −0.199237 | ||||||||
\(862\) | −2.47440 | − | 10.8411i | −0.0842785 | − | 0.369248i | ||||
\(863\) | 2.81009 | 0.0956565 | 0.0478282 | − | 0.998856i | \(-0.484770\pi\) | ||||
0.0478282 | + | 0.998856i | \(0.484770\pi\) | |||||||
\(864\) | 9.14453 | + | 11.4669i | 0.311103 | + | 0.390111i | ||||
\(865\) | −15.7138 | − | 7.56738i | −0.534286 | − | 0.257298i | ||||
\(866\) | −16.7742 | + | 21.0341i | −0.570010 | + | 0.714769i | ||||
\(867\) | −14.5030 | + | 18.1862i | −0.492549 | + | 0.617637i | ||||
\(868\) | 5.10428 | + | 2.45809i | 0.173251 | + | 0.0834331i | ||||
\(869\) | 1.76206 | − | 0.848564i | 0.0597738 | − | 0.0287856i | ||||
\(870\) | −32.2282 | + | 40.4129i | −1.09264 | + | 1.37012i | ||||
\(871\) | −3.68529 | + | 4.62121i | −0.124871 | + | 0.156584i | ||||
\(872\) | 57.4541 | 1.94564 | ||||||||
\(873\) | 2.72250 | − | 3.41391i | 0.0921428 | − | 0.115543i | ||||
\(874\) | −4.64373 | − | 20.3455i | −0.157076 | − | 0.688197i | ||||
\(875\) | −2.58667 | + | 3.24358i | −0.0874455 | + | 0.109653i | ||||
\(876\) | 19.9406 | − | 9.60290i | 0.673731 | − | 0.324452i | ||||
\(877\) | 28.1911 | 0.951945 | 0.475972 | − | 0.879460i | \(-0.342096\pi\) | ||||
0.475972 | + | 0.879460i | \(0.342096\pi\) | |||||||
\(878\) | 45.8831 | + | 22.0961i | 1.54848 | + | 0.745709i | ||||
\(879\) | −14.6578 | − | 7.05880i | −0.494394 | − | 0.238087i | ||||
\(880\) | −0.266646 | + | 1.16825i | −0.00898864 | + | 0.0393818i | ||||
\(881\) | −9.40248 | − | 41.1950i | −0.316778 | − | 1.38789i | −0.843168 | − | 0.537650i | \(-0.819312\pi\) |
0.526390 | − | 0.850243i | \(-0.323545\pi\) | |||||||
\(882\) | −3.71652 | + | 16.2831i | −0.125142 | + | 0.548281i | ||||
\(883\) | −24.1566 | − | 30.2914i | −0.812934 | − | 1.01939i | −0.999319 | − | 0.0369106i | \(-0.988248\pi\) |
0.186384 | − | 0.982477i | \(-0.440323\pi\) | |||||||
\(884\) | 0.927885 | − | 0.446846i | 0.0312082 | − | 0.0150291i | ||||
\(885\) | 8.58589 | + | 37.6173i | 0.288612 | + | 1.26449i | ||||
\(886\) | −36.0417 | + | 45.1948i | −1.21084 | + | 1.51835i | ||||
\(887\) | −2.32255 | + | 2.91238i | −0.0779835 | + | 0.0977883i | −0.819293 | − | 0.573375i | \(-0.805634\pi\) |
0.741309 | + | 0.671164i | \(0.234205\pi\) | |||||||
\(888\) | −40.6612 | − | 19.5814i | −1.36450 | − | 0.657109i | ||||
\(889\) | 7.77089 | + | 9.74439i | 0.260627 | + | 0.326816i | ||||
\(890\) | −19.4283 | + | 85.1208i | −0.651237 | + | 2.85326i | ||||
\(891\) | −0.172028 | + | 0.753705i | −0.00576316 | + | 0.0252501i | ||||
\(892\) | −54.1005 | + | 26.0534i | −1.81142 | + | 0.872334i | ||||
\(893\) | 10.2726 | + | 45.0074i | 0.343761 | + | 1.50612i | ||||
\(894\) | −21.8526 | − | 27.4023i | −0.730860 | − | 0.916469i | ||||
\(895\) | −0.488985 | −0.0163450 | ||||||||
\(896\) | −16.6749 | + | 8.03021i | −0.557069 | + | 0.268270i | ||||
\(897\) | 7.88770 | 0.263363 | ||||||||
\(898\) | −49.6599 | + | 23.9150i | −1.65717 | + | 0.798053i | ||||
\(899\) | −8.42044 | + | 4.05507i | −0.280837 | + | 0.135244i | ||||
\(900\) | −14.1841 | −0.472804 | ||||||||
\(901\) | −0.0405148 | + | 0.0508039i | −0.00134974 | + | 0.00169252i | ||||
\(902\) | 0.452358 | − | 1.98191i | 0.0150619 | − | 0.0659904i | ||||
\(903\) | 7.29723 | − | 3.51416i | 0.242837 | − | 0.116944i | ||||
\(904\) | 42.0601 | + | 52.7417i | 1.39890 | + | 1.75416i | ||||
\(905\) | −20.0413 | − | 25.1310i | −0.666194 | − | 0.835381i | ||||
\(906\) | 51.1572 | + | 24.6360i | 1.69958 | + | 0.818476i | ||||
\(907\) | −5.99823 | − | 7.52155i | −0.199168 | − | 0.249749i | 0.672211 | − | 0.740360i | \(-0.265345\pi\) |
−0.871379 | + | 0.490611i | \(0.836774\pi\) | |||||||
\(908\) | −71.5439 | + | 34.4537i | −2.37427 | + | 1.14339i | ||||
\(909\) | −2.50588 | + | 10.9790i | −0.0831147 | + | 0.364149i | ||||
\(910\) | 26.0184 | + | 12.5298i | 0.862500 | + | 0.415358i | ||||
\(911\) | −2.83891 | − | 12.4381i | −0.0940574 | − | 0.412092i | 0.905877 | − | 0.423541i | \(-0.139213\pi\) |
−0.999934 | + | 0.0114484i | \(0.996356\pi\) | |||||||
\(912\) | 20.3297 | − | 9.79026i | 0.673183 | − | 0.324188i | ||||
\(913\) | −1.27048 | −0.0420469 | ||||||||
\(914\) | 32.3230 | − | 40.5318i | 1.06915 | − | 1.34067i | ||||
\(915\) | 10.9466 | − | 13.7265i | 0.361882 | − | 0.453786i | ||||
\(916\) | −9.81530 | − | 12.3080i | −0.324307 | − | 0.406668i | ||||
\(917\) | −2.19545 | − | 1.05727i | −0.0725001 | − | 0.0349142i | ||||
\(918\) | −0.499909 | − | 0.626866i | −0.0164995 | − | 0.0206897i | ||||
\(919\) | −4.55458 | − | 19.9549i | −0.150242 | − | 0.658252i | −0.992814 | − | 0.119669i | \(-0.961817\pi\) |
0.842572 | − | 0.538584i | \(-0.181040\pi\) | |||||||
\(920\) | −3.24047 | − | 14.1974i | −0.106835 | − | 0.468075i | ||||
\(921\) | 11.2048 | − | 5.39593i | 0.369209 | − | 0.177802i | ||||
\(922\) | 18.7608 | 0.617853 | ||||||||
\(923\) | −5.45977 | + | 6.84633i | −0.179710 | + | 0.225350i | ||||
\(924\) | −0.725010 | − | 0.349146i | −0.0238511 | − | 0.0114861i | ||||
\(925\) | −24.7422 | + | 11.9152i | −0.813517 | + | 0.391769i | ||||
\(926\) | 42.4059 | − | 53.1754i | 1.39355 | − | 1.74745i | ||||
\(927\) | −5.45977 | + | 2.62929i | −0.179322 | + | 0.0863571i | ||||
\(928\) | 3.15297 | − | 13.8141i | 0.103501 | − | 0.453469i | ||||
\(929\) | −2.42419 | − | 10.6211i | −0.0795351 | − | 0.348466i | 0.919465 | − | 0.393172i | \(-0.128622\pi\) |
−0.999000 | + | 0.0447055i | \(0.985765\pi\) | |||||||
\(930\) | 14.6184 | + | 7.03987i | 0.479357 | + | 0.230846i | ||||
\(931\) | −39.6107 | − | 19.0755i | −1.29819 | − | 0.625175i | ||||
\(932\) | 79.0960 | + | 38.0906i | 2.59088 | + | 1.24770i | ||||
\(933\) | −0.330156 | − | 0.414003i | −0.0108088 | − | 0.0135538i | ||||
\(934\) | 1.54606 | + | 0.744544i | 0.0505887 | + | 0.0243622i | ||||
\(935\) | −0.00681081 | + | 0.0298401i | −0.000222737 | + | 0.000975875i | ||||
\(936\) | −4.78057 | − | 20.9450i | −0.156258 | − | 0.684610i | ||||
\(937\) | −10.4461 | − | 45.7672i | −0.341258 | − | 1.49515i | −0.796421 | − | 0.604742i | \(-0.793276\pi\) |
0.455163 | − | 0.890408i | \(-0.349581\pi\) | |||||||
\(938\) | −1.68022 | + | 2.10693i | −0.0548611 | + | 0.0687936i | ||||
\(939\) | 0.392421 | + | 1.71931i | 0.0128062 | + | 0.0561076i | ||||
\(940\) | 15.5685 | + | 68.2101i | 0.507789 | + | 2.22477i | ||||
\(941\) | 10.5881 | − | 46.3896i | 0.345163 | − | 1.51226i | −0.442848 | − | 0.896597i | \(-0.646032\pi\) |
0.788011 | − | 0.615662i | \(-0.211111\pi\) | |||||||
\(942\) | −40.9676 | − | 19.7290i | −1.33480 | − | 0.642805i | ||||
\(943\) | 1.31310 | + | 5.75306i | 0.0427603 | + | 0.187345i | ||||
\(944\) | 14.1141 | + | 17.6985i | 0.459374 | + | 0.576037i | ||||
\(945\) | 3.24954 | − | 14.2372i | 0.105708 | − | 0.463135i | ||||
\(946\) | 0.626698 | + | 2.74575i | 0.0203757 | + | 0.0892719i | ||||
\(947\) | −29.0519 | + | 13.9907i | −0.944060 | + | 0.454635i | −0.841600 | − | 0.540102i | \(-0.818386\pi\) |
−0.102460 | + | 0.994737i | \(0.532671\pi\) | |||||||
\(948\) | −50.2854 | − | 24.2162i | −1.63319 | − | 0.786505i | ||||
\(949\) | 20.3982 | 0.662155 | ||||||||
\(950\) | 12.7911 | − | 56.0413i | 0.414997 | − | 1.81822i | ||||
\(951\) | −3.41566 | − | 14.9650i | −0.110760 | − | 0.485273i | ||||
\(952\) | 0.194789 | − | 0.0938054i | 0.00631315 | − | 0.00304025i | ||||
\(953\) | −45.2017 | − | 21.7680i | −1.46423 | − | 0.705134i | −0.479226 | − | 0.877691i | \(-0.659083\pi\) |
−0.984999 | + | 0.172558i | \(0.944797\pi\) | |||||||
\(954\) | 1.83553 | + | 2.30168i | 0.0594274 | + | 0.0745196i | ||||
\(955\) | 36.0980 | + | 17.3839i | 1.16810 | + | 0.562528i | ||||
\(956\) | 47.8484 | + | 23.0426i | 1.54753 | + | 0.745250i | ||||
\(957\) | 1.19604 | − | 0.575980i | 0.0386623 | − | 0.0186188i | ||||
\(958\) | 12.4220 | 0.401335 | ||||||||
\(959\) | −2.89021 | + | 3.62421i | −0.0933297 | + | 0.117032i | ||||
\(960\) | −38.7866 | + | 18.6787i | −1.25183 | + | 0.602851i | ||||
\(961\) | −17.4991 | − | 21.9431i | −0.564486 | − | 0.707844i | ||||
\(962\) | −56.3232 | − | 70.6270i | −1.81593 | − | 2.27711i | ||||
\(963\) | −12.3195 | − | 15.4481i | −0.396990 | − | 0.497809i | ||||
\(964\) | 37.9168 | + | 47.5461i | 1.22122 | + | 1.53136i | ||||
\(965\) | −68.1334 | −2.19329 | ||||||||
\(966\) | 3.59620 | 0.115706 | ||||||||
\(967\) | −6.20985 | − | 27.2071i | −0.199695 | − | 0.874923i | −0.971118 | − | 0.238600i | \(-0.923312\pi\) |
0.771423 | − | 0.636323i | \(-0.219546\pi\) | |||||||
\(968\) | −27.8828 | + | 34.9639i | −0.896187 | + | 1.12378i | ||||
\(969\) | 0.519271 | − | 0.250068i | 0.0166814 | − | 0.00803333i | ||||
\(970\) | 16.7212 | + | 20.9677i | 0.536884 | + | 0.673232i | ||||
\(971\) | 35.1816 | + | 16.9426i | 1.12903 | + | 0.543713i | 0.902672 | − | 0.430330i | \(-0.141603\pi\) |
0.226361 | + | 0.974043i | \(0.427317\pi\) | |||||||
\(972\) | −36.7110 | + | 17.6791i | −1.17751 | + | 0.567057i | ||||
\(973\) | 6.00657 | 0.192562 | ||||||||
\(974\) | −28.4186 | − | 13.6857i | −0.910590 | − | 0.438517i | ||||
\(975\) | 19.5750 | + | 9.42680i | 0.626900 | + | 0.301899i | ||||
\(976\) | 2.29207 | − | 10.0422i | 0.0733673 | − | 0.321443i | ||||
\(977\) | −32.6061 | + | 40.8868i | −1.04316 | + | 1.30808i | −0.0932234 | + | 0.995645i | \(0.529717\pi\) |
−0.949938 | + | 0.312438i | \(0.898854\pi\) | |||||||
\(978\) | −0.726682 | + | 0.349951i | −0.0232367 | + | 0.0111902i | ||||
\(979\) | 1.39804 | − | 1.75309i | 0.0446816 | − | 0.0560290i | ||||
\(980\) | −60.0313 | − | 28.9095i | −1.91763 | − | 0.923481i | ||||
\(981\) | 3.53383 | − | 15.4827i | 0.112826 | − | 0.494325i | ||||
\(982\) | −92.1288 | − | 44.3669i | −2.93995 | − | 1.41580i | ||||
\(983\) | −5.64996 | − | 24.7541i | −0.180206 | − | 0.789533i | −0.981531 | − | 0.191304i | \(-0.938728\pi\) |
0.801325 | − | 0.598229i | \(-0.204129\pi\) | |||||||
\(984\) | −24.0668 | + | 11.5900i | −0.767222 | + | 0.369475i | ||||
\(985\) | 36.2560 | + | 45.4636i | 1.15521 | + | 1.44859i | ||||
\(986\) | −0.172365 | + | 0.755181i | −0.00548922 | + | 0.0240499i | ||||
\(987\) | −7.95536 | −0.253222 | ||||||||
\(988\) | 122.820 | 3.90744 | ||||||||
\(989\) | −5.09720 | − | 6.39169i | −0.162082 | − | 0.203244i | ||||
\(990\) | 1.24935 | + | 0.601657i | 0.0397070 | + | 0.0191219i | ||||
\(991\) | 1.47275 | − | 6.45252i | 0.0467833 | − | 0.204971i | −0.946135 | − | 0.323774i | \(-0.895048\pi\) |
0.992918 | + | 0.118803i | \(0.0379055\pi\) | |||||||
\(992\) | −4.44767 | −0.141214 | ||||||||
\(993\) | −27.2076 | − | 34.1172i | −0.863406 | − | 1.08268i | ||||
\(994\) | −2.48925 | + | 3.12142i | −0.0789541 | + | 0.0990053i | ||||
\(995\) | −21.2936 | − | 26.7014i | −0.675053 | − | 0.846490i | ||||
\(996\) | 22.6058 | + | 28.3468i | 0.716292 | + | 0.898201i | ||||
\(997\) | 5.68806 | + | 24.9210i | 0.180143 | + | 0.789257i | 0.981560 | + | 0.191152i | \(0.0612224\pi\) |
−0.801418 | + | 0.598105i | \(0.795921\pi\) | |||||||
\(998\) | −89.2868 | −2.82632 | ||||||||
\(999\) | −28.4819 | + | 35.7151i | −0.901126 | + | 1.12998i |
(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 | 547.2.e.a.9.4 | ✓ | 264 | |
547.304 | even | 7 | inner | 547.2.e.a.304.4 | yes | 264 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
547.2.e.a.9.4 | ✓ | 264 | 1.1 | even | 1 | trivial | |
547.2.e.a.304.4 | yes | 264 | 547.304 | even | 7 | inner |