Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [29,3,Mod(2,29)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(29, base_ring=CyclotomicField(28))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("29.2");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 29 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 29.f (of order \(28\), degree \(12\), 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: | \(0.790192766645\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{28})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{28}]$ |
Embedding invariants
Embedding label | 2.4 | ||
Character | \(\chi\) | \(=\) | 29.2 |
Dual form | 29.3.f.a.15.4 |
$q$-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 \(\left(\mathbb{Z}/29\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{1}{28}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.58169 | + | 0.290886i | 1.29084 | + | 0.145443i | 0.730554 | − | 0.682854i | \(-0.239262\pi\) |
0.560289 | + | 0.828298i | \(0.310690\pi\) | |||||||
\(3\) | −2.11401 | − | 1.32832i | −0.704671 | − | 0.442774i | 0.131447 | − | 0.991323i | \(-0.458038\pi\) |
−0.836119 | + | 0.548549i | \(0.815180\pi\) | |||||||
\(4\) | 2.68078 | + | 0.611870i | 0.670194 | + | 0.152967i | ||||
\(5\) | −2.49104 | + | 1.98654i | −0.498207 | + | 0.397307i | −0.840100 | − | 0.542432i | \(-0.817504\pi\) |
0.341892 | + | 0.939739i | \(0.388932\pi\) | |||||||
\(6\) | −5.07133 | − | 4.04425i | −0.845222 | − | 0.674042i | ||||
\(7\) | 1.30161 | + | 5.70272i | 0.185944 | + | 0.814675i | 0.978726 | + | 0.205170i | \(0.0657746\pi\) |
−0.792782 | + | 0.609505i | \(0.791368\pi\) | |||||||
\(8\) | −3.06598 | − | 1.07283i | −0.383247 | − | 0.134104i | ||||
\(9\) | −1.20034 | − | 2.49253i | −0.133371 | − | 0.276948i | ||||
\(10\) | −7.00893 | + | 4.40400i | −0.700893 | + | 0.440400i | ||||
\(11\) | 16.1070 | − | 5.63608i | 1.46427 | − | 0.512371i | 0.523682 | − | 0.851914i | \(-0.324558\pi\) |
0.940591 | + | 0.339543i | \(0.110272\pi\) | |||||||
\(12\) | −4.85444 | − | 4.85444i | −0.404537 | − | 0.404537i | ||||
\(13\) | 2.84196 | − | 5.90140i | 0.218613 | − | 0.453954i | −0.762603 | − | 0.646866i | \(-0.776079\pi\) |
0.981216 | + | 0.192913i | \(0.0617934\pi\) | |||||||
\(14\) | 1.70150 | + | 15.1013i | 0.121536 | + | 1.07866i | ||||
\(15\) | 7.90485 | − | 0.890663i | 0.526990 | − | 0.0593775i | ||||
\(16\) | −17.5130 | − | 8.43380i | −1.09456 | − | 0.527112i | ||||
\(17\) | −14.7807 | + | 14.7807i | −0.869452 | + | 0.869452i | −0.992412 | − | 0.122959i | \(-0.960762\pi\) |
0.122959 | + | 0.992412i | \(0.460762\pi\) | |||||||
\(18\) | −2.37386 | − | 6.78410i | −0.131881 | − | 0.376894i | ||||
\(19\) | 9.65814 | + | 15.3708i | 0.508323 | + | 0.808992i | 0.998020 | − | 0.0629012i | \(-0.0200353\pi\) |
−0.489697 | + | 0.871893i | \(0.662892\pi\) | |||||||
\(20\) | −7.89342 | + | 3.80127i | −0.394671 | + | 0.190063i | ||||
\(21\) | 4.82344 | − | 13.7846i | 0.229688 | − | 0.656409i | ||||
\(22\) | 43.2227 | − | 9.86529i | 1.96467 | − | 0.448422i | ||||
\(23\) | 18.5750 | − | 23.2923i | 0.807608 | − | 1.01271i | −0.191902 | − | 0.981414i | \(-0.561466\pi\) |
0.999510 | − | 0.0312943i | \(-0.00996291\pi\) | |||||||
\(24\) | 5.05646 | + | 6.34060i | 0.210686 | + | 0.264191i | ||||
\(25\) | −3.30408 | + | 14.4761i | −0.132163 | + | 0.579045i | ||||
\(26\) | 9.05369 | − | 14.4089i | 0.348219 | − | 0.554187i | ||||
\(27\) | −3.28922 | + | 29.1927i | −0.121823 | + | 1.08121i | ||||
\(28\) | 16.0841i | 0.574434i | ||||||||
\(29\) | −19.9272 | − | 21.0691i | −0.687144 | − | 0.726521i | ||||
\(30\) | 20.6669 | 0.688897 | ||||||||
\(31\) | −13.3687 | − | 1.50629i | −0.431249 | − | 0.0485900i | −0.106327 | − | 0.994331i | \(-0.533909\pi\) |
−0.324921 | + | 0.945741i | \(0.605338\pi\) | |||||||
\(32\) | −31.7582 | − | 19.9550i | −0.992443 | − | 0.623593i | ||||
\(33\) | −41.5370 | − | 9.48054i | −1.25870 | − | 0.287289i | ||||
\(34\) | −42.4586 | + | 33.8596i | −1.24878 | + | 0.995871i | ||||
\(35\) | −14.5710 | − | 11.6200i | −0.416315 | − | 0.332000i | ||||
\(36\) | −1.69274 | − | 7.41637i | −0.0470205 | − | 0.206010i | ||||
\(37\) | 17.2522 | + | 6.03682i | 0.466277 | + | 0.163157i | 0.553184 | − | 0.833059i | \(-0.313413\pi\) |
−0.0869071 | + | 0.996216i | \(0.527698\pi\) | |||||||
\(38\) | 20.4631 | + | 42.4921i | 0.538503 | + | 1.11821i | ||||
\(39\) | −13.8469 | + | 8.70059i | −0.355049 | + | 0.223092i | ||||
\(40\) | 9.76869 | − | 3.41821i | 0.244217 | − | 0.0854553i | ||||
\(41\) | −44.4102 | − | 44.4102i | −1.08318 | − | 1.08318i | −0.996211 | − | 0.0869640i | \(-0.972283\pi\) |
−0.0869640 | − | 0.996211i | \(-0.527717\pi\) | |||||||
\(42\) | 16.4624 | − | 34.1844i | 0.391961 | − | 0.813915i | ||||
\(43\) | 7.00239 | + | 62.1479i | 0.162846 | + | 1.44530i | 0.763509 | + | 0.645797i | \(0.223475\pi\) |
−0.600663 | + | 0.799503i | \(0.705096\pi\) | |||||||
\(44\) | 46.6278 | − | 5.25369i | 1.05972 | − | 0.119402i | ||||
\(45\) | 7.94160 | + | 3.82447i | 0.176480 | + | 0.0849883i | ||||
\(46\) | 54.7302 | − | 54.7302i | 1.18979 | − | 1.18979i | ||||
\(47\) | −16.6790 | − | 47.6658i | −0.354872 | − | 1.01417i | −0.973541 | − | 0.228515i | \(-0.926613\pi\) |
0.618668 | − | 0.785652i | \(-0.287673\pi\) | |||||||
\(48\) | 25.8198 | + | 41.0920i | 0.537913 | + | 0.856084i | ||||
\(49\) | 13.3206 | − | 6.41487i | 0.271849 | − | 0.130916i | ||||
\(50\) | −12.7410 | + | 36.4117i | −0.254820 | + | 0.728234i | ||||
\(51\) | 50.8801 | − | 11.6131i | 0.997649 | − | 0.227707i | ||||
\(52\) | 11.2296 | − | 14.0814i | 0.215953 | − | 0.270796i | ||||
\(53\) | 12.0961 | + | 15.1681i | 0.228229 | + | 0.286190i | 0.882739 | − | 0.469863i | \(-0.155697\pi\) |
−0.654511 | + | 0.756053i | \(0.727125\pi\) | |||||||
\(54\) | −16.9835 | + | 74.4095i | −0.314509 | + | 1.37795i | ||||
\(55\) | −28.9269 | + | 46.0368i | −0.525943 | + | 0.837033i | ||||
\(56\) | 2.12736 | − | 18.8808i | 0.0379886 | − | 0.337158i | ||||
\(57\) | − | 45.3233i | − | 0.795146i | ||||||
\(58\) | −45.3170 | − | 60.1904i | −0.781327 | − | 1.03777i | ||||
\(59\) | 47.9911 | 0.813408 | 0.406704 | − | 0.913560i | \(-0.366678\pi\) | ||||
0.406704 | + | 0.913560i | \(0.366678\pi\) | |||||||
\(60\) | 21.7361 | + | 2.44907i | 0.362268 | + | 0.0408178i | ||||
\(61\) | 41.0683 | + | 25.8049i | 0.673251 | + | 0.423031i | 0.824805 | − | 0.565417i | \(-0.191285\pi\) |
−0.151554 | + | 0.988449i | \(0.548428\pi\) | |||||||
\(62\) | −34.0756 | − | 7.77754i | −0.549607 | − | 0.125444i | ||||
\(63\) | 12.6518 | − | 10.0895i | 0.200823 | − | 0.160151i | ||||
\(64\) | −15.3963 | − | 12.2781i | −0.240567 | − | 0.191846i | ||||
\(65\) | 4.64390 | + | 20.3463i | 0.0714446 | + | 0.313019i | ||||
\(66\) | −104.478 | − | 36.5583i | −1.58299 | − | 0.553914i | ||||
\(67\) | −6.15092 | − | 12.7725i | −0.0918048 | − | 0.190635i | 0.850010 | − | 0.526766i | \(-0.176596\pi\) |
−0.941815 | + | 0.336132i | \(0.890881\pi\) | |||||||
\(68\) | −48.6676 | + | 30.5799i | −0.715700 | + | 0.449704i | ||||
\(69\) | −70.2075 | + | 24.5667i | −1.01750 | + | 0.356038i | ||||
\(70\) | −34.2377 | − | 34.2377i | −0.489110 | − | 0.489110i | ||||
\(71\) | −11.6321 | + | 24.1543i | −0.163832 | + | 0.340202i | −0.966682 | − | 0.255980i | \(-0.917602\pi\) |
0.802850 | + | 0.596182i | \(0.203316\pi\) | |||||||
\(72\) | 1.00615 | + | 8.92982i | 0.0139743 | + | 0.124025i | ||||
\(73\) | −12.2617 | + | 1.38156i | −0.167968 | + | 0.0189255i | −0.195548 | − | 0.980694i | \(-0.562649\pi\) |
0.0275798 | + | 0.999620i | \(0.491220\pi\) | |||||||
\(74\) | 42.7839 | + | 20.6036i | 0.578160 | + | 0.278427i | ||||
\(75\) | 26.2138 | − | 26.2138i | 0.349518 | − | 0.349518i | ||||
\(76\) | 16.4864 | + | 47.1153i | 0.216926 | + | 0.619938i | ||||
\(77\) | 53.1060 | + | 84.5178i | 0.689689 | + | 1.09763i | ||||
\(78\) | −38.2793 | + | 18.4343i | −0.490760 | + | 0.236337i | ||||
\(79\) | 33.5205 | − | 95.7961i | 0.424310 | − | 1.21261i | −0.511247 | − | 0.859434i | \(-0.670816\pi\) |
0.935557 | − | 0.353175i | \(-0.114898\pi\) | |||||||
\(80\) | 60.3795 | − | 13.7812i | 0.754744 | − | 0.172265i | ||||
\(81\) | 30.2068 | − | 37.8781i | 0.372923 | − | 0.467631i | ||||
\(82\) | −101.735 | − | 127.571i | −1.24067 | − | 1.55575i | ||||
\(83\) | −9.73978 | + | 42.6728i | −0.117347 | + | 0.514130i | 0.881753 | + | 0.471711i | \(0.156363\pi\) |
−0.999100 | + | 0.0424187i | \(0.986494\pi\) | |||||||
\(84\) | 21.3649 | − | 34.0021i | 0.254344 | − | 0.404787i | ||||
\(85\) | 7.45688 | − | 66.1816i | 0.0877280 | − | 0.778607i | ||||
\(86\) | 162.483i | 1.88934i | ||||||||
\(87\) | 14.1397 | + | 71.0101i | 0.162525 | + | 0.816209i | ||||
\(88\) | −55.4303 | −0.629890 | ||||||||
\(89\) | 53.9337 | + | 6.07686i | 0.605996 | + | 0.0682794i | 0.409631 | − | 0.912251i | \(-0.365658\pi\) |
0.196365 | + | 0.980531i | \(0.437086\pi\) | |||||||
\(90\) | 19.3902 | + | 12.1837i | 0.215447 | + | 0.135374i | ||||
\(91\) | 37.3532 | + | 8.52561i | 0.410474 | + | 0.0936881i | ||||
\(92\) | 64.0472 | − | 51.0760i | 0.696165 | − | 0.555173i | ||||
\(93\) | 26.2608 | + | 20.9423i | 0.282374 | + | 0.225186i | ||||
\(94\) | −29.1946 | − | 127.910i | −0.310581 | − | 1.36074i | ||||
\(95\) | −54.5935 | − | 19.1031i | −0.574669 | − | 0.201085i | ||||
\(96\) | 40.6306 | + | 84.3702i | 0.423235 | + | 0.878857i | ||||
\(97\) | −124.213 | + | 78.0480i | −1.28054 | + | 0.804619i | −0.988417 | − | 0.151761i | \(-0.951506\pi\) |
−0.292126 | + | 0.956380i | \(0.594363\pi\) | |||||||
\(98\) | 36.2556 | − | 12.6864i | 0.369955 | − | 0.129453i | ||||
\(99\) | −33.3820 | − | 33.3820i | −0.337192 | − | 0.337192i | ||||
\(100\) | −17.7150 | + | 36.7856i | −0.177150 | + | 0.367856i | ||||
\(101\) | −15.1390 | − | 134.362i | −0.149891 | − | 1.33032i | −0.813205 | − | 0.581978i | \(-0.802279\pi\) |
0.663314 | − | 0.748342i | \(-0.269150\pi\) | |||||||
\(102\) | 134.735 | − | 15.1809i | 1.32093 | − | 0.148833i | ||||
\(103\) | 42.8611 | + | 20.6408i | 0.416127 | + | 0.200396i | 0.630219 | − | 0.776417i | \(-0.282965\pi\) |
−0.214092 | + | 0.976813i | \(0.568679\pi\) | |||||||
\(104\) | −15.0446 | + | 15.0446i | −0.144660 | + | 0.144660i | ||||
\(105\) | 15.3682 | + | 43.9199i | 0.146364 | + | 0.418285i | ||||
\(106\) | 26.8162 | + | 42.6778i | 0.252983 | + | 0.402620i | ||||
\(107\) | 119.175 | − | 57.3917i | 1.11379 | − | 0.536371i | 0.215818 | − | 0.976434i | \(-0.430758\pi\) |
0.897967 | + | 0.440063i | \(0.145044\pi\) | |||||||
\(108\) | −26.6798 | + | 76.2465i | −0.247035 | + | 0.705986i | ||||
\(109\) | −42.9080 | + | 9.79348i | −0.393652 | + | 0.0898485i | −0.414765 | − | 0.909929i | \(-0.636136\pi\) |
0.0211130 | + | 0.999777i | \(0.493279\pi\) | |||||||
\(110\) | −88.0715 | + | 110.438i | −0.800650 | + | 1.00398i | ||||
\(111\) | −28.4526 | − | 35.6785i | −0.256330 | − | 0.321428i | ||||
\(112\) | 25.3006 | − | 110.849i | 0.225898 | − | 0.989724i | ||||
\(113\) | −48.1620 | + | 76.6493i | −0.426212 | + | 0.678313i | −0.988938 | − | 0.148331i | \(-0.952610\pi\) |
0.562726 | + | 0.826644i | \(0.309753\pi\) | |||||||
\(114\) | 13.1839 | − | 117.011i | 0.115648 | − | 1.02641i | ||||
\(115\) | 94.9218i | 0.825407i | ||||||||
\(116\) | −40.5287 | − | 68.6744i | −0.349386 | − | 0.592021i | ||||
\(117\) | −18.1207 | −0.154878 | ||||||||
\(118\) | 123.898 | + | 13.9599i | 1.04998 | + | 0.118305i | ||||
\(119\) | −103.529 | − | 65.0515i | −0.869991 | − | 0.546651i | ||||
\(120\) | −25.1916 | − | 5.74983i | −0.209930 | − | 0.0479152i | ||||
\(121\) | 133.068 | − | 106.119i | 1.09974 | − | 0.877012i | ||||
\(122\) | 98.5191 | + | 78.5664i | 0.807534 | + | 0.643987i | ||||
\(123\) | 34.8927 | + | 152.875i | 0.283680 | + | 1.24289i | ||||
\(124\) | −34.9169 | − | 12.2179i | −0.281588 | − | 0.0985317i | ||||
\(125\) | −55.0873 | − | 114.390i | −0.440698 | − | 0.915120i | ||||
\(126\) | 35.5980 | − | 22.3677i | 0.282524 | − | 0.177521i | ||||
\(127\) | −198.494 | + | 69.4561i | −1.56295 | + | 0.546898i | −0.966702 | − | 0.255905i | \(-0.917626\pi\) |
−0.596244 | + | 0.802804i | \(0.703341\pi\) | |||||||
\(128\) | 69.9093 | + | 69.9093i | 0.546166 | + | 0.546166i | ||||
\(129\) | 67.7494 | − | 140.683i | 0.525189 | − | 1.09057i | ||||
\(130\) | 6.07065 | + | 53.8785i | 0.0466973 | + | 0.414450i | ||||
\(131\) | −164.999 | + | 18.5909i | −1.25953 | + | 0.141915i | −0.716375 | − | 0.697715i | \(-0.754200\pi\) |
−0.543158 | + | 0.839631i | \(0.682772\pi\) | |||||||
\(132\) | −105.550 | − | 50.8304i | −0.799625 | − | 0.385079i | ||||
\(133\) | −75.0845 | + | 75.0845i | −0.564545 | + | 0.564545i | ||||
\(134\) | −12.1644 | − | 34.7638i | −0.0907791 | − | 0.259432i | ||||
\(135\) | −49.7987 | − | 79.2542i | −0.368879 | − | 0.587068i | ||||
\(136\) | 61.1745 | − | 29.4601i | 0.449813 | − | 0.216618i | ||||
\(137\) | −56.9427 | + | 162.733i | −0.415640 | + | 1.18783i | 0.525788 | + | 0.850616i | \(0.323771\pi\) |
−0.941428 | + | 0.337215i | \(0.890515\pi\) | |||||||
\(138\) | −188.400 | + | 43.0010i | −1.36522 | + | 0.311602i | ||||
\(139\) | 97.5376 | − | 122.308i | 0.701709 | − | 0.879915i | −0.295441 | − | 0.955361i | \(-0.595467\pi\) |
0.997150 | + | 0.0754457i | \(0.0240379\pi\) | |||||||
\(140\) | −31.9517 | − | 40.0662i | −0.228227 | − | 0.286187i | ||||
\(141\) | −28.0560 | + | 122.921i | −0.198979 | + | 0.871783i | ||||
\(142\) | −37.0566 | + | 58.9752i | −0.260962 | + | 0.415319i | ||||
\(143\) | 12.5147 | − | 111.071i | 0.0875156 | − | 0.776723i | ||||
\(144\) | 53.7751i | 0.373438i | ||||||||
\(145\) | 91.4939 | + | 12.8979i | 0.630992 | + | 0.0889512i | ||||
\(146\) | −32.0577 | −0.219573 | ||||||||
\(147\) | −36.6810 | − | 4.13295i | −0.249530 | − | 0.0281153i | ||||
\(148\) | 42.5557 | + | 26.7395i | 0.287538 | + | 0.180672i | ||||
\(149\) | 101.993 | + | 23.2793i | 0.684519 | + | 0.156237i | 0.550617 | − | 0.834758i | \(-0.314392\pi\) |
0.133901 | + | 0.990995i | \(0.457249\pi\) | |||||||
\(150\) | 75.3012 | − | 60.0507i | 0.502008 | − | 0.400338i | ||||
\(151\) | −87.2999 | − | 69.6194i | −0.578145 | − | 0.461055i | 0.290234 | − | 0.956956i | \(-0.406267\pi\) |
−0.868379 | + | 0.495900i | \(0.834838\pi\) | |||||||
\(152\) | −13.1213 | − | 57.4883i | −0.0863245 | − | 0.378212i | ||||
\(153\) | 54.5832 | + | 19.0995i | 0.356753 | + | 0.124833i | ||||
\(154\) | 112.518 | + | 233.646i | 0.730637 | + | 1.51718i | ||||
\(155\) | 36.2942 | − | 22.8052i | 0.234156 | − | 0.147130i | ||||
\(156\) | −42.4441 | + | 14.8518i | −0.272078 | + | 0.0952041i | ||||
\(157\) | 154.052 | + | 154.052i | 0.981223 | + | 0.981223i | 0.999827 | − | 0.0186037i | \(-0.00592209\pi\) |
−0.0186037 | + | 0.999827i | \(0.505922\pi\) | |||||||
\(158\) | 114.405 | − | 237.565i | 0.724083 | − | 1.50357i | ||||
\(159\) | −5.42329 | − | 48.1331i | −0.0341088 | − | 0.302724i | ||||
\(160\) | 118.752 | − | 13.3801i | 0.742201 | − | 0.0836259i | ||||
\(161\) | 157.007 | + | 75.6105i | 0.975198 | + | 0.469631i | ||||
\(162\) | 89.0027 | − | 89.0027i | 0.549399 | − | 0.549399i | ||||
\(163\) | −18.9751 | − | 54.2278i | −0.116412 | − | 0.332686i | 0.870904 | − | 0.491453i | \(-0.163534\pi\) |
−0.987316 | + | 0.158767i | \(0.949248\pi\) | |||||||
\(164\) | −91.8805 | − | 146.227i | −0.560247 | − | 0.891628i | ||||
\(165\) | 122.304 | − | 58.8983i | 0.741234 | − | 0.356959i | ||||
\(166\) | −37.5580 | + | 107.335i | −0.226253 | + | 0.646594i | ||||
\(167\) | 131.159 | − | 29.9362i | 0.785384 | − | 0.179259i | 0.189020 | − | 0.981973i | \(-0.439469\pi\) |
0.596364 | + | 0.802714i | \(0.296612\pi\) | |||||||
\(168\) | −29.5771 | + | 37.0885i | −0.176054 | + | 0.220765i | ||||
\(169\) | 78.6200 | + | 98.5864i | 0.465207 | + | 0.583352i | ||||
\(170\) | 38.5026 | − | 168.691i | 0.226486 | − | 0.992300i | ||||
\(171\) | 26.7193 | − | 42.5235i | 0.156253 | − | 0.248675i | ||||
\(172\) | −19.2546 | + | 170.889i | −0.111945 | + | 0.993542i | ||||
\(173\) | − | 21.1826i | − | 0.122443i | −0.998124 | − | 0.0612213i | \(-0.980500\pi\) | ||
0.998124 | − | 0.0612213i | \(-0.0194995\pi\) | |||||||
\(174\) | 15.8484 | + | 187.439i | 0.0910830 | + | 1.07724i | ||||
\(175\) | −86.8540 | −0.496308 | ||||||||
\(176\) | −329.615 | − | 37.1387i | −1.87281 | − | 0.211015i | ||||
\(177\) | −101.454 | − | 63.7477i | −0.573186 | − | 0.360156i | ||||
\(178\) | 137.472 | + | 31.3771i | 0.772315 | + | 0.176276i | ||||
\(179\) | −71.5446 | + | 57.0549i | −0.399690 | + | 0.318742i | −0.802622 | − | 0.596487i | \(-0.796563\pi\) |
0.402932 | + | 0.915230i | \(0.367991\pi\) | |||||||
\(180\) | 18.9496 | + | 15.1118i | 0.105275 | + | 0.0839543i | ||||
\(181\) | −43.7618 | − | 191.733i | −0.241778 | − | 1.05930i | −0.939398 | − | 0.342829i | \(-0.888615\pi\) |
0.697620 | − | 0.716468i | \(-0.254242\pi\) | |||||||
\(182\) | 93.9541 | + | 32.8760i | 0.516232 | + | 0.180637i | ||||
\(183\) | −52.5417 | − | 109.104i | −0.287113 | − | 0.596196i | ||||
\(184\) | −81.9393 | + | 51.4858i | −0.445322 | + | 0.279814i | ||||
\(185\) | −54.9684 | + | 19.2343i | −0.297126 | + | 0.103969i | ||||
\(186\) | 61.7053 | + | 61.7053i | 0.331749 | + | 0.331749i | ||||
\(187\) | −154.767 | + | 321.378i | −0.827633 | + | 1.71860i | ||||
\(188\) | −15.5474 | − | 137.987i | −0.0826988 | − | 0.733973i | ||||
\(189\) | −170.759 | + | 19.2399i | −0.903487 | + | 0.101799i | ||||
\(190\) | −135.387 | − | 65.1987i | −0.712561 | − | 0.343151i | ||||
\(191\) | −173.129 | + | 173.129i | −0.906436 | + | 0.906436i | −0.995983 | − | 0.0895465i | \(-0.971458\pi\) |
0.0895465 | + | 0.995983i | \(0.471458\pi\) | |||||||
\(192\) | 16.2386 | + | 46.4074i | 0.0845762 | + | 0.241705i | ||||
\(193\) | −107.871 | − | 171.676i | −0.558917 | − | 0.889511i | 0.441051 | − | 0.897482i | \(-0.354606\pi\) |
−0.999968 | + | 0.00797056i | \(0.997463\pi\) | |||||||
\(194\) | −343.381 | + | 165.364i | −1.77001 | + | 0.852390i | ||||
\(195\) | 17.2091 | − | 49.1809i | 0.0882520 | − | 0.252210i | ||||
\(196\) | 39.6346 | − | 9.04635i | 0.202218 | − | 0.0461548i | ||||
\(197\) | 39.4510 | − | 49.4700i | 0.200259 | − | 0.251117i | −0.671554 | − | 0.740956i | \(-0.734373\pi\) |
0.871813 | + | 0.489839i | \(0.162944\pi\) | |||||||
\(198\) | −76.4715 | − | 95.8922i | −0.386220 | − | 0.484304i | ||||
\(199\) | −10.0083 | + | 43.8490i | −0.0502928 | + | 0.220347i | −0.993829 | − | 0.110922i | \(-0.964620\pi\) |
0.943536 | + | 0.331269i | \(0.107477\pi\) | |||||||
\(200\) | 25.6607 | − | 40.8388i | 0.128304 | − | 0.204194i | ||||
\(201\) | −3.96290 | + | 35.1717i | −0.0197159 | + | 0.174984i | ||||
\(202\) | − | 351.285i | − | 1.73903i | ||||||
\(203\) | 94.2140 | − | 141.063i | 0.464108 | − | 0.694891i | ||||
\(204\) | 143.504 | 0.703450 | ||||||||
\(205\) | 198.850 | + | 22.4050i | 0.970000 | + | 0.109293i | ||||
\(206\) | 104.650 | + | 65.7557i | 0.508008 | + | 0.319203i | ||||
\(207\) | −80.3531 | − | 18.3401i | −0.388179 | − | 0.0885994i | ||||
\(208\) | −99.5424 | + | 79.3824i | −0.478569 | + | 0.381646i | ||||
\(209\) | 242.195 | + | 193.144i | 1.15883 | + | 0.924134i | ||||
\(210\) | 26.9003 | + | 117.858i | 0.128096 | + | 0.561227i | ||||
\(211\) | 267.044 | + | 93.4429i | 1.26561 | + | 0.442857i | 0.877865 | − | 0.478908i | \(-0.158967\pi\) |
0.387748 | + | 0.921765i | \(0.373253\pi\) | |||||||
\(212\) | 23.1461 | + | 48.0634i | 0.109180 | + | 0.226714i | ||||
\(213\) | 56.6752 | − | 35.6114i | 0.266081 | − | 0.167189i | ||||
\(214\) | 324.367 | − | 113.501i | 1.51573 | − | 0.530378i | ||||
\(215\) | −140.902 | − | 140.902i | −0.655359 | − | 0.655359i | ||||
\(216\) | 41.4036 | − | 85.9754i | 0.191683 | − | 0.398034i | ||||
\(217\) | −8.81087 | − | 78.1986i | −0.0406031 | − | 0.360362i | ||||
\(218\) | −113.624 | + | 12.8023i | −0.521210 | + | 0.0587263i | ||||
\(219\) | 27.7565 | + | 13.3668i | 0.126742 | + | 0.0610358i | ||||
\(220\) | −105.715 | + | 105.715i | −0.480523 | + | 0.480523i | ||||
\(221\) | 45.2205 | + | 129.233i | 0.204618 | + | 0.584764i | ||||
\(222\) | −63.0774 | − | 100.387i | −0.284133 | − | 0.452194i | ||||
\(223\) | −9.38970 | + | 4.52184i | −0.0421063 | + | 0.0202773i | −0.454818 | − | 0.890584i | \(-0.650296\pi\) |
0.412712 | + | 0.910862i | \(0.364582\pi\) | |||||||
\(224\) | 72.4610 | − | 207.082i | 0.323487 | − | 0.924472i | ||||
\(225\) | 40.0482 | − | 9.14075i | 0.177992 | − | 0.0406255i | ||||
\(226\) | −146.635 | + | 183.875i | −0.648829 | + | 0.813605i | ||||
\(227\) | 41.9912 | + | 52.6552i | 0.184983 | + | 0.231961i | 0.865673 | − | 0.500611i | \(-0.166891\pi\) |
−0.680690 | + | 0.732572i | \(0.738320\pi\) | |||||||
\(228\) | 27.7320 | − | 121.502i | 0.121631 | − | 0.532902i | ||||
\(229\) | −137.469 | + | 218.781i | −0.600303 | + | 0.955376i | 0.398959 | + | 0.916969i | \(0.369371\pi\) |
−0.999262 | + | 0.0384078i | \(0.987771\pi\) | |||||||
\(230\) | −27.6114 | + | 245.058i | −0.120050 | + | 1.06547i | ||||
\(231\) | − | 249.214i | − | 1.07885i | ||||||
\(232\) | 38.4927 | + | 85.9760i | 0.165917 | + | 0.370586i | ||||
\(233\) | 139.905 | 0.600452 | 0.300226 | − | 0.953868i | \(-0.402938\pi\) | ||||
0.300226 | + | 0.953868i | \(0.402938\pi\) | |||||||
\(234\) | −46.7821 | − | 5.27107i | −0.199923 | − | 0.0225260i | ||||
\(235\) | 136.238 | + | 85.6040i | 0.579736 | + | 0.364272i | ||||
\(236\) | 128.653 | + | 29.3643i | 0.545141 | + | 0.124425i | ||||
\(237\) | −198.111 | + | 157.988i | −0.835911 | + | 0.666617i | ||||
\(238\) | −248.356 | − | 198.058i | −1.04351 | − | 0.832175i | ||||
\(239\) | 22.0091 | + | 96.4282i | 0.0920883 | + | 0.403465i | 0.999872 | − | 0.0159726i | \(-0.00508444\pi\) |
−0.907784 | + | 0.419438i | \(0.862227\pi\) | |||||||
\(240\) | −145.949 | − | 51.0698i | −0.608121 | − | 0.212791i | ||||
\(241\) | −158.413 | − | 328.947i | −0.657314 | − | 1.36493i | −0.916865 | − | 0.399197i | \(-0.869289\pi\) |
0.259552 | − | 0.965729i | \(-0.416425\pi\) | |||||||
\(242\) | 374.409 | − | 235.257i | 1.54715 | − | 0.972136i | ||||
\(243\) | 135.388 | − | 47.3741i | 0.557150 | − | 0.194955i | ||||
\(244\) | 94.3057 | + | 94.3057i | 0.386499 | + | 0.386499i | ||||
\(245\) | −20.4388 | + | 42.4415i | −0.0834235 | + | 0.173231i | ||||
\(246\) | 45.6128 | + | 404.825i | 0.185418 | + | 1.64563i | ||||
\(247\) | 118.158 | − | 13.3132i | 0.478371 | − | 0.0538994i | ||||
\(248\) | 39.3722 | + | 18.9606i | 0.158759 | + | 0.0764542i | ||||
\(249\) | 77.2733 | − | 77.2733i | 0.310334 | − | 0.310334i | ||||
\(250\) | −108.944 | − | 311.343i | −0.435775 | − | 1.24537i | ||||
\(251\) | 117.710 | + | 187.335i | 0.468965 | + | 0.746353i | 0.994536 | − | 0.104396i | \(-0.0332911\pi\) |
−0.525571 | + | 0.850750i | \(0.676148\pi\) | |||||||
\(252\) | 40.0902 | − | 19.3064i | 0.159088 | − | 0.0766129i | ||||
\(253\) | 167.910 | − | 479.859i | 0.663676 | − | 1.89668i | ||||
\(254\) | −532.653 | + | 121.575i | −2.09706 | + | 0.478640i | ||||
\(255\) | −103.675 | + | 130.004i | −0.406567 | + | 0.509819i | ||||
\(256\) | 209.261 | + | 262.405i | 0.817425 | + | 1.02502i | ||||
\(257\) | −29.0472 | + | 127.264i | −0.113024 | + | 0.495191i | 0.886452 | + | 0.462821i | \(0.153163\pi\) |
−0.999476 | + | 0.0323701i | \(0.989694\pi\) | |||||||
\(258\) | 215.830 | − | 343.492i | 0.836552 | − | 1.33136i | ||||
\(259\) | −11.9706 | + | 106.242i | −0.0462187 | + | 0.410202i | ||||
\(260\) | 57.3852i | 0.220712i | ||||||||
\(261\) | −28.5961 | + | 74.9592i | −0.109564 | + | 0.287200i | ||||
\(262\) | −431.383 | −1.64650 | ||||||||
\(263\) | 53.5898 | + | 6.03812i | 0.203763 | + | 0.0229586i | 0.213256 | − | 0.976996i | \(-0.431593\pi\) |
−0.00949275 | + | 0.999955i | \(0.503022\pi\) | |||||||
\(264\) | 117.180 | + | 73.6294i | 0.443865 | + | 0.278899i | ||||
\(265\) | −60.2638 | − | 13.7548i | −0.227411 | − | 0.0519050i | ||||
\(266\) | −215.686 | + | 172.004i | −0.810849 | + | 0.646630i | ||||
\(267\) | −105.944 | − | 84.4879i | −0.396796 | − | 0.316434i | ||||
\(268\) | −8.67412 | − | 38.0038i | −0.0323661 | − | 0.141805i | ||||
\(269\) | 23.6596 | + | 8.27885i | 0.0879538 | + | 0.0307764i | 0.373897 | − | 0.927470i | \(-0.378021\pi\) |
−0.285943 | + | 0.958246i | \(0.592307\pi\) | |||||||
\(270\) | −105.511 | − | 219.095i | −0.390780 | − | 0.811464i | ||||
\(271\) | 261.030 | − | 164.016i | 0.963211 | − | 0.605226i | 0.0440174 | − | 0.999031i | \(-0.485984\pi\) |
0.919194 | + | 0.393805i | \(0.128841\pi\) | |||||||
\(272\) | 383.511 | − | 134.196i | 1.40997 | − | 0.493369i | ||||
\(273\) | −67.6403 | − | 67.6403i | −0.247767 | − | 0.247767i | ||||
\(274\) | −194.345 | + | 403.561i | −0.709288 | + | 1.47285i | ||||
\(275\) | 28.3698 | + | 251.789i | 0.103163 | + | 0.915596i | ||||
\(276\) | −203.242 | + | 22.8999i | −0.736384 | + | 0.0829706i | ||||
\(277\) | −448.792 | − | 216.127i | −1.62019 | − | 0.780241i | −0.620195 | − | 0.784448i | \(-0.712947\pi\) |
−0.999991 | + | 0.00420714i | \(0.998661\pi\) | |||||||
\(278\) | 287.389 | − | 287.389i | 1.03377 | − | 1.03377i | ||||
\(279\) | 12.2925 | + | 35.1300i | 0.0440592 | + | 0.125914i | ||||
\(280\) | 32.2081 | + | 51.2590i | 0.115029 | + | 0.183068i | ||||
\(281\) | −360.665 | + | 173.687i | −1.28350 | + | 0.618103i | −0.946288 | − | 0.323325i | \(-0.895199\pi\) |
−0.337216 | + | 0.941427i | \(0.609485\pi\) | |||||||
\(282\) | −108.188 | + | 309.183i | −0.383645 | + | 1.09639i | ||||
\(283\) | 72.2136 | − | 16.4823i | 0.255172 | − | 0.0582413i | −0.0930214 | − | 0.995664i | \(-0.529652\pi\) |
0.348193 | + | 0.937423i | \(0.386795\pi\) | |||||||
\(284\) | −45.9624 | + | 57.6350i | −0.161839 | + | 0.202940i | ||||
\(285\) | 90.0364 | + | 112.902i | 0.315917 | + | 0.396148i | ||||
\(286\) | 64.6182 | − | 283.111i | 0.225938 | − | 0.989898i | ||||
\(287\) | 195.454 | − | 311.064i | 0.681026 | − | 1.08385i | ||||
\(288\) | −11.6178 | + | 103.111i | −0.0403397 | + | 0.358024i | ||||
\(289\) | − | 147.938i | − | 0.511895i | ||||||
\(290\) | 232.457 | + | 59.9127i | 0.801575 | + | 0.206596i | ||||
\(291\) | 366.260 | 1.25863 | ||||||||
\(292\) | −33.7161 | − | 3.79890i | −0.115466 | − | 0.0130099i | ||||
\(293\) | −381.722 | − | 239.852i | −1.30281 | − | 0.818608i | −0.311508 | − | 0.950243i | \(-0.600834\pi\) |
−0.991298 | + | 0.131636i | \(0.957977\pi\) | |||||||
\(294\) | −93.4965 | − | 21.3400i | −0.318015 | − | 0.0725849i | ||||
\(295\) | −119.548 | + | 95.3360i | −0.405246 | + | 0.323173i | ||||
\(296\) | −46.4185 | − | 37.0176i | −0.156819 | − | 0.125059i | ||||
\(297\) | 111.553 | + | 488.745i | 0.375599 | + | 1.64561i | ||||
\(298\) | 256.543 | + | 89.7683i | 0.860882 | + | 0.301236i | ||||
\(299\) | −84.6676 | − | 175.814i | −0.283169 | − | 0.588007i | ||||
\(300\) | 86.3129 | − | 54.2340i | 0.287710 | − | 0.180780i | ||||
\(301\) | −345.298 | + | 120.825i | −1.14717 | + | 0.401412i | ||||
\(302\) | −205.130 | − | 205.130i | −0.679237 | − | 0.679237i | ||||
\(303\) | −146.472 | + | 304.153i | −0.483407 | + | 1.00381i | ||||
\(304\) | −39.5081 | − | 350.644i | −0.129961 | − | 1.15343i | ||||
\(305\) | −153.565 | + | 17.3026i | −0.503492 | + | 0.0567299i | ||||
\(306\) | 135.361 | + | 65.1864i | 0.442356 | + | 0.213027i | ||||
\(307\) | −14.8497 | + | 14.8497i | −0.0483703 | + | 0.0483703i | −0.730878 | − | 0.682508i | \(-0.760889\pi\) |
0.682508 | + | 0.730878i | \(0.260889\pi\) | |||||||
\(308\) | 90.6515 | + | 259.067i | 0.294323 | + | 0.841127i | ||||
\(309\) | −63.1912 | − | 100.568i | −0.204502 | − | 0.325464i | ||||
\(310\) | 100.334 | − | 48.3183i | 0.323658 | − | 0.155866i | ||||
\(311\) | 51.0039 | − | 145.761i | 0.164000 | − | 0.468684i | −0.832330 | − | 0.554280i | \(-0.812994\pi\) |
0.996330 | + | 0.0855959i | \(0.0272794\pi\) | |||||||
\(312\) | 51.7886 | − | 11.8204i | 0.165989 | − | 0.0378860i | ||||
\(313\) | 106.381 | − | 133.398i | 0.339876 | − | 0.426191i | −0.582292 | − | 0.812979i | \(-0.697844\pi\) |
0.922169 | + | 0.386788i | \(0.126416\pi\) | |||||||
\(314\) | 352.902 | + | 442.526i | 1.12389 | + | 1.40932i | ||||
\(315\) | −11.4730 | + | 50.2667i | −0.0364224 | + | 0.159577i | ||||
\(316\) | 148.476 | − | 236.298i | 0.469860 | − | 0.747777i | ||||
\(317\) | −4.18683 | + | 37.1591i | −0.0132077 | + | 0.117221i | −0.998586 | − | 0.0531589i | \(-0.983071\pi\) |
0.985378 | + | 0.170380i | \(0.0544996\pi\) | |||||||
\(318\) | − | 125.842i | − | 0.395730i | ||||||
\(319\) | −439.714 | − | 227.049i | −1.37841 | − | 0.711753i | ||||
\(320\) | 62.7436 | 0.196074 | ||||||||
\(321\) | −328.172 | − | 36.9761i | −1.02234 | − | 0.115190i | ||||
\(322\) | 383.348 | + | 240.874i | 1.19052 | + | 0.748055i | ||||
\(323\) | −369.946 | − | 84.4377i | −1.14534 | − | 0.261417i | ||||
\(324\) | 104.154 | − | 83.0602i | 0.321463 | − | 0.256359i | ||||
\(325\) | 76.0393 | + | 60.6393i | 0.233967 | + | 0.186582i | ||||
\(326\) | −33.2137 | − | 145.519i | −0.101883 | − | 0.446377i | ||||
\(327\) | 103.717 | + | 36.2922i | 0.317178 | + | 0.110985i | ||||
\(328\) | 88.5161 | + | 183.805i | 0.269866 | + | 0.560383i | ||||
\(329\) | 250.116 | − | 157.158i | 0.760230 | − | 0.477684i | ||||
\(330\) | 332.882 | − | 116.480i | 1.00873 | − | 0.352971i | ||||
\(331\) | 195.213 | + | 195.213i | 0.589768 | + | 0.589768i | 0.937569 | − | 0.347800i | \(-0.113071\pi\) |
−0.347800 | + | 0.937569i | \(0.613071\pi\) | |||||||
\(332\) | −52.2204 | + | 108.437i | −0.157290 | + | 0.326616i | ||||
\(333\) | −5.66159 | − | 50.2480i | −0.0170018 | − | 0.150895i | ||||
\(334\) | 347.320 | − | 39.1335i | 1.03988 | − | 0.117166i | ||||
\(335\) | 40.6952 | + | 19.5978i | 0.121478 | + | 0.0585009i | ||||
\(336\) | −200.729 | + | 200.729i | −0.597408 | + | 0.597408i | ||||
\(337\) | 86.0626 | + | 245.953i | 0.255379 | + | 0.729830i | 0.998179 | + | 0.0603174i | \(0.0192113\pi\) |
−0.742801 | + | 0.669513i | \(0.766503\pi\) | |||||||
\(338\) | 174.295 | + | 277.389i | 0.515665 | + | 0.820676i | ||||
\(339\) | 203.630 | − | 98.0631i | 0.600679 | − | 0.289272i | ||||
\(340\) | 60.4848 | − | 172.855i | 0.177896 | − | 0.508398i | ||||
\(341\) | −223.819 | + | 51.0853i | −0.656362 | + | 0.149810i | ||||
\(342\) | 81.3503 | − | 102.010i | 0.237866 | − | 0.298275i | ||||
\(343\) | 232.625 | + | 291.702i | 0.678207 | + | 0.850444i | ||||
\(344\) | 45.2051 | − | 198.057i | 0.131410 | − | 0.575746i | ||||
\(345\) | 126.087 | − | 200.666i | 0.365469 | − | 0.581641i | ||||
\(346\) | 6.16172 | − | 54.6867i | 0.0178084 | − | 0.158054i | ||||
\(347\) | − | 75.7571i | − | 0.218320i | −0.994024 | − | 0.109160i | \(-0.965184\pi\) | ||
0.994024 | − | 0.109160i | \(-0.0348161\pi\) | |||||||
\(348\) | −5.54353 | + | 199.014i | −0.0159297 | + | 0.571879i | ||||
\(349\) | −88.0863 | −0.252396 | −0.126198 | − | 0.992005i | \(-0.540277\pi\) | ||||
−0.126198 | + | 0.992005i | \(0.540277\pi\) | |||||||
\(350\) | −224.230 | − | 25.2646i | −0.640656 | − | 0.0721846i | ||||
\(351\) | 162.930 | + | 102.376i | 0.464187 | + | 0.291668i | ||||
\(352\) | −623.997 | − | 142.423i | −1.77272 | − | 0.404611i | ||||
\(353\) | 333.963 | − | 266.327i | 0.946071 | − | 0.754467i | −0.0233860 | − | 0.999727i | \(-0.507445\pi\) |
0.969457 | + | 0.245260i | \(0.0788733\pi\) | |||||||
\(354\) | −243.379 | − | 194.088i | −0.687510 | − | 0.548271i | ||||
\(355\) | −19.0074 | − | 83.2769i | −0.0535420 | − | 0.234583i | ||||
\(356\) | 140.866 | + | 49.2911i | 0.395691 | + | 0.138458i | ||||
\(357\) | 132.452 | + | 275.040i | 0.371014 | + | 0.770419i | ||||
\(358\) | −201.302 | + | 126.486i | −0.562296 | + | 0.353314i | ||||
\(359\) | 396.769 | − | 138.835i | 1.10521 | − | 0.386728i | 0.284845 | − | 0.958574i | \(-0.408058\pi\) |
0.820361 | + | 0.571845i | \(0.193772\pi\) | |||||||
\(360\) | −20.2458 | − | 20.2458i | −0.0562382 | − | 0.0562382i | ||||
\(361\) | 13.6489 | − | 28.3422i | 0.0378086 | − | 0.0785103i | ||||
\(362\) | −57.2067 | − | 507.723i | −0.158030 | − | 1.40255i | ||||
\(363\) | −422.268 | + | 47.5782i | −1.16327 | + | 0.131069i | ||||
\(364\) | 94.9189 | + | 45.7105i | 0.260766 | + | 0.125578i | ||||
\(365\) | 27.7998 | − | 27.7998i | 0.0761638 | − | 0.0761638i | ||||
\(366\) | −103.909 | − | 296.956i | −0.283905 | − | 0.811354i | ||||
\(367\) | −133.333 | − | 212.198i | −0.363305 | − | 0.578196i | 0.614189 | − | 0.789159i | \(-0.289483\pi\) |
−0.977494 | + | 0.210962i | \(0.932340\pi\) | |||||||
\(368\) | −521.746 | + | 251.259i | −1.41779 | + | 0.682770i | ||||
\(369\) | −57.3865 | + | 164.001i | −0.155519 | + | 0.444448i | ||||
\(370\) | −147.506 | + | 33.6673i | −0.398665 | + | 0.0909927i | ||||
\(371\) | −70.7548 | + | 88.7237i | −0.190714 | + | 0.239148i | ||||
\(372\) | 57.5854 | + | 72.2097i | 0.154799 | + | 0.194112i | ||||
\(373\) | 109.293 | − | 478.845i | 0.293012 | − | 1.28377i | −0.587299 | − | 0.809370i | \(-0.699809\pi\) |
0.880311 | − | 0.474397i | \(-0.157334\pi\) | |||||||
\(374\) | −493.045 | + | 784.677i | −1.31830 | + | 2.09807i | ||||
\(375\) | −35.4915 | + | 314.996i | −0.0946440 | + | 0.839988i | ||||
\(376\) | 164.036i | 0.436267i | ||||||||
\(377\) | −180.970 | + | 57.7205i | −0.480025 | + | 0.153105i | ||||
\(378\) | −446.443 | −1.18107 | ||||||||
\(379\) | 8.35834 | + | 0.941759i | 0.0220537 | + | 0.00248485i | 0.122984 | − | 0.992409i | \(-0.460753\pi\) |
−0.100931 | + | 0.994893i | \(0.532182\pi\) | |||||||
\(380\) | −134.664 | − | 84.6153i | −0.354380 | − | 0.222672i | ||||
\(381\) | 511.879 | + | 116.833i | 1.34352 | + | 0.306649i | ||||
\(382\) | −497.326 | + | 396.605i | −1.30190 | + | 1.03823i | ||||
\(383\) | −81.7068 | − | 65.1590i | −0.213334 | − | 0.170128i | 0.510993 | − | 0.859585i | \(-0.329278\pi\) |
−0.724327 | + | 0.689457i | \(0.757849\pi\) | |||||||
\(384\) | −54.9271 | − | 240.651i | −0.143039 | − | 0.626696i | ||||
\(385\) | −300.187 | − | 105.040i | −0.779706 | − | 0.272831i | ||||
\(386\) | −228.551 | − | 474.591i | −0.592101 | − | 1.22951i | ||||
\(387\) | 146.500 | − | 92.0523i | 0.378554 | − | 0.237861i | ||||
\(388\) | −380.742 | + | 133.227i | −0.981293 | + | 0.343369i | ||||
\(389\) | 3.30195 | + | 3.30195i | 0.00848831 | + | 0.00848831i | 0.711338 | − | 0.702850i | \(-0.248089\pi\) |
−0.702850 | + | 0.711338i | \(0.748089\pi\) | |||||||
\(390\) | 58.7346 | − | 121.964i | 0.150602 | − | 0.312727i | ||||
\(391\) | 69.7251 | + | 618.827i | 0.178325 | + | 1.58268i | ||||
\(392\) | −47.7228 | + | 5.37707i | −0.121742 | + | 0.0137170i | ||||
\(393\) | 373.505 | + | 179.870i | 0.950393 | + | 0.457685i | ||||
\(394\) | 116.240 | − | 116.240i | 0.295026 | − | 0.295026i | ||||
\(395\) | 106.802 | + | 305.221i | 0.270384 | + | 0.772712i | ||||
\(396\) | −69.0642 | − | 109.915i | −0.174405 | − | 0.277563i | ||||
\(397\) | 596.541 | − | 287.279i | 1.50262 | − | 0.723625i | 0.511839 | − | 0.859082i | \(-0.328965\pi\) |
0.990783 | + | 0.135457i | \(0.0432503\pi\) | |||||||
\(398\) | −38.5933 | + | 110.293i | −0.0969680 | + | 0.277119i | ||||
\(399\) | 258.466 | − | 58.9932i | 0.647785 | − | 0.147853i | ||||
\(400\) | 179.953 | − | 225.654i | 0.449883 | − | 0.564135i | ||||
\(401\) | −297.015 | − | 372.445i | −0.740687 | − | 0.928792i | 0.258622 | − | 0.965979i | \(-0.416732\pi\) |
−0.999308 | + | 0.0371871i | \(0.988160\pi\) | |||||||
\(402\) | −20.4619 | + | 89.6495i | −0.0509003 | + | 0.223009i | ||||
\(403\) | −46.8826 | + | 74.6132i | −0.116334 | + | 0.185144i | ||||
\(404\) | 41.6279 | − | 369.458i | 0.103039 | − | 0.914501i | ||||
\(405\) | 154.363i | 0.381143i | ||||||||
\(406\) | 284.264 | − | 336.775i | 0.700158 | − | 0.829494i | ||||
\(407\) | 311.906 | 0.766354 | ||||||||
\(408\) | −168.456 | − | 18.9805i | −0.412883 | − | 0.0465207i | ||||
\(409\) | −245.996 | − | 154.570i | −0.601458 | − | 0.377921i | 0.196616 | − | 0.980481i | \(-0.437005\pi\) |
−0.798074 | + | 0.602560i | \(0.794148\pi\) | |||||||
\(410\) | 506.851 | + | 115.685i | 1.23622 | + | 0.282159i | ||||
\(411\) | 336.539 | − | 268.381i | 0.818831 | − | 0.652996i | ||||
\(412\) | 102.271 | + | 81.5587i | 0.248232 | + | 0.197958i | ||||
\(413\) | 62.4657 | + | 273.680i | 0.151249 | + | 0.662663i | ||||
\(414\) | −202.112 | − | 70.7219i | −0.488192 | − | 0.170826i | ||||
\(415\) | −60.5088 | − | 125.648i | −0.145804 | − | 0.302766i | ||||
\(416\) | −208.018 | + | 130.706i | −0.500043 | + | 0.314198i | ||||
\(417\) | −368.661 | + | 129.000i | −0.884078 | + | 0.309352i | ||||
\(418\) | 569.089 | + | 569.089i | 1.36146 | + | 1.36146i | ||||
\(419\) | 148.802 | − | 308.990i | 0.355135 | − | 0.737446i | −0.644496 | − | 0.764608i | \(-0.722933\pi\) |
0.999631 | + | 0.0271619i | \(0.00864698\pi\) | |||||||
\(420\) | 14.3255 | + | 127.143i | 0.0341084 | + | 0.302721i | ||||
\(421\) | 528.745 | − | 59.5753i | 1.25593 | − | 0.141509i | 0.541189 | − | 0.840901i | \(-0.317974\pi\) |
0.714738 | + | 0.699392i | \(0.246546\pi\) | |||||||
\(422\) | 662.244 | + | 318.920i | 1.56930 | + | 0.755734i | ||||
\(423\) | −98.7882 | + | 98.7882i | −0.233542 | + | 0.233542i | ||||
\(424\) | −20.8137 | − | 59.4821i | −0.0490889 | − | 0.140288i | ||||
\(425\) | −165.131 | − | 262.804i | −0.388542 | − | 0.618362i | ||||
\(426\) | 156.676 | − | 75.4513i | 0.367785 | − | 0.177116i | ||||
\(427\) | −93.7034 | + | 267.789i | −0.219446 | + | 0.627141i | ||||
\(428\) | 354.598 | − | 80.9346i | 0.828500 | − | 0.189100i | ||||
\(429\) | −173.995 | + | 218.183i | −0.405583 | + | 0.508585i | ||||
\(430\) | −322.779 | − | 404.752i | −0.750649 | − | 0.941284i | ||||
\(431\) | −125.008 | + | 547.695i | −0.290041 | + | 1.27075i | 0.594425 | + | 0.804151i | \(0.297380\pi\) |
−0.884467 | + | 0.466604i | \(0.845477\pi\) | |||||||
\(432\) | 303.809 | − | 483.510i | 0.703262 | − | 1.11924i | ||||
\(433\) | −14.0479 | + | 124.679i | −0.0324432 | + | 0.287942i | 0.967006 | + | 0.254754i | \(0.0819945\pi\) |
−0.999449 | + | 0.0331877i | \(0.989434\pi\) | |||||||
\(434\) | − | 204.447i | − | 0.471077i | ||||||
\(435\) | −176.287 | − | 148.800i | −0.405257 | − | 0.342069i | ||||
\(436\) | −121.019 | −0.277567 | ||||||||
\(437\) | 537.422 | + | 60.5529i | 1.22980 | + | 0.138565i | ||||
\(438\) | 67.7704 | + | 42.5829i | 0.154727 | + | 0.0972213i | ||||
\(439\) | 505.439 | + | 115.363i | 1.15134 | + | 0.262786i | 0.755258 | − | 0.655428i | \(-0.227512\pi\) |
0.396084 | + | 0.918214i | \(0.370369\pi\) | |||||||
\(440\) | 138.079 | − | 110.114i | 0.313816 | − | 0.250260i | ||||
\(441\) | −31.9785 | − | 25.5020i | −0.0725137 | − | 0.0578277i | ||||
\(442\) | 79.1532 | + | 346.793i | 0.179080 | + | 0.784599i | ||||
\(443\) | 57.1618 | + | 20.0018i | 0.129033 | + | 0.0451507i | 0.394023 | − | 0.919100i | \(-0.371083\pi\) |
−0.264990 | + | 0.964251i | \(0.585369\pi\) | |||||||
\(444\) | −54.4446 | − | 113.055i | −0.122623 | − | 0.254629i | ||||
\(445\) | −146.423 | + | 92.0035i | −0.329040 | + | 0.206749i | ||||
\(446\) | −25.5566 | + | 8.94264i | −0.0573018 | + | 0.0200508i | ||||
\(447\) | −184.693 | − | 184.693i | −0.413183 | − | 0.413183i | ||||
\(448\) | 49.9788 | − | 103.782i | 0.111560 | − | 0.231656i | ||||
\(449\) | −80.2125 | − | 711.905i | −0.178647 | − | 1.58554i | −0.688476 | − | 0.725260i | \(-0.741720\pi\) |
0.509829 | − | 0.860276i | \(-0.329709\pi\) | |||||||
\(450\) | 106.051 | − | 11.9491i | 0.235669 | − | 0.0265535i | ||||
\(451\) | −965.615 | − | 465.015i | −2.14105 | − | 1.03108i | ||||
\(452\) | −176.011 | + | 176.011i | −0.389405 | + | 0.389405i | ||||
\(453\) | 92.0762 | + | 263.139i | 0.203259 | + | 0.580880i | ||||
\(454\) | 93.0913 | + | 148.154i | 0.205047 | + | 0.326330i | ||||
\(455\) | −109.985 | + | 52.9658i | −0.241724 | + | 0.116408i | ||||
\(456\) | −48.6243 | + | 138.960i | −0.106632 | + | 0.304738i | ||||
\(457\) | −533.475 | + | 121.762i | −1.16734 | + | 0.266438i | −0.761908 | − | 0.647686i | \(-0.775737\pi\) |
−0.405435 | + | 0.914124i | \(0.632880\pi\) | |||||||
\(458\) | −418.543 | + | 524.836i | −0.913850 | + | 1.14593i | ||||
\(459\) | −382.871 | − | 480.105i | −0.834141 | − | 1.04598i | ||||
\(460\) | −58.0798 | + | 254.464i | −0.126260 | + | 0.553183i | ||||
\(461\) | −313.897 | + | 499.564i | −0.680904 | + | 1.08365i | 0.310214 | + | 0.950667i | \(0.399599\pi\) |
−0.991118 | + | 0.132985i | \(0.957544\pi\) | |||||||
\(462\) | 72.4928 | − | 643.392i | 0.156911 | − | 1.39262i | ||||
\(463\) | 75.7339i | 0.163572i | 0.996650 | + | 0.0817861i | \(0.0260624\pi\) | ||||
−0.996650 | + | 0.0817861i | \(0.973938\pi\) | |||||||
\(464\) | 171.291 | + | 537.045i | 0.369162 | + | 1.15742i | ||||
\(465\) | −107.019 | −0.230149 | ||||||||
\(466\) | 361.192 | + | 40.6965i | 0.775090 | + | 0.0873316i | ||||
\(467\) | −146.168 | − | 91.8436i | −0.312994 | − | 0.196667i | 0.366369 | − | 0.930470i | \(-0.380601\pi\) |
−0.679363 | + | 0.733803i | \(0.737744\pi\) | |||||||
\(468\) | −48.5777 | − | 11.0875i | −0.103798 | − | 0.0236913i | ||||
\(469\) | 64.8320 | − | 51.7018i | 0.138235 | − | 0.110238i | ||||
\(470\) | 326.823 | + | 260.632i | 0.695367 | + | 0.554537i | ||||
\(471\) | −121.037 | − | 530.299i | −0.256979 | − | 1.12590i | ||||
\(472\) | −147.140 | − | 51.4864i | −0.311737 | − | 0.109081i | ||||
\(473\) | 463.058 | + | 961.550i | 0.978981 | + | 2.03288i | ||||
\(474\) | −557.417 | + | 350.248i | −1.17598 | + | 0.738920i | ||||
\(475\) | −254.422 | + | 89.0260i | −0.535624 | + | 0.187423i | ||||
\(476\) | −237.735 | − | 237.735i | −0.499443 | − | 0.499443i | ||||
\(477\) | 23.2874 | − | 48.3568i | 0.0488206 | − | 0.101377i | ||||
\(478\) | 28.7710 | + | 255.349i | 0.0601903 | + | 0.534204i | ||||
\(479\) | −14.8101 | + | 1.66870i | −0.0309188 | + | 0.00348372i | −0.127410 | − | 0.991850i | \(-0.540667\pi\) |
0.0964915 | + | 0.995334i | \(0.469238\pi\) | |||||||
\(480\) | −268.817 | − | 129.455i | −0.560035 | − | 0.269699i | ||||
\(481\) | 84.6559 | − | 84.6559i | 0.176000 | − | 0.176000i | ||||
\(482\) | −313.285 | − | 895.318i | −0.649970 | − | 1.85751i | ||||
\(483\) | −231.480 | − | 368.398i | −0.479254 | − | 0.762728i | ||||
\(484\) | 421.657 | − | 203.059i | 0.871193 | − | 0.419544i | ||||
\(485\) | 154.373 | − | 441.174i | 0.318296 | − | 0.909636i | ||||
\(486\) | 363.309 | − | 82.9228i | 0.747548 | − | 0.170623i | ||||
\(487\) | 121.461 | − | 152.307i | 0.249406 | − | 0.312745i | −0.641331 | − | 0.767264i | \(-0.721618\pi\) |
0.890737 | + | 0.454519i | \(0.150189\pi\) | |||||||
\(488\) | −98.2302 | − | 123.177i | −0.201291 | − | 0.252411i | ||||
\(489\) | −31.9184 | + | 139.843i | −0.0652727 | + | 0.285979i | ||||
\(490\) | −65.1121 | + | 103.625i | −0.132882 | + | 0.211480i | ||||
\(491\) | 4.56914 | − | 40.5522i | 0.00930578 | − | 0.0825911i | −0.988201 | − | 0.153163i | \(-0.951054\pi\) |
0.997507 | + | 0.0705722i | \(0.0224825\pi\) | |||||||
\(492\) | 431.173i | 0.876368i | ||||||||
\(493\) | 605.953 | + | 16.8788i | 1.22911 | + | 0.0342370i | ||||
\(494\) | 308.918 | 0.625341 | ||||||||
\(495\) | 149.470 | + | 16.8413i | 0.301960 | + | 0.0340228i | ||||
\(496\) | 221.422 | + | 139.129i | 0.446415 | + | 0.280501i | ||||
\(497\) | −152.886 | − | 34.8952i | −0.307617 | − | 0.0702116i | ||||
\(498\) | 221.973 | − | 177.018i | 0.445729 | − | 0.355457i | ||||
\(499\) | 510.903 | + | 407.432i | 1.02385 | + | 0.816497i | 0.983173 | − | 0.182676i | \(-0.0584758\pi\) |
0.0406810 | + | 0.999172i | \(0.487047\pi\) | |||||||
\(500\) | −77.6850 | − | 340.360i | −0.155370 | − | 0.680720i | ||||
\(501\) | −317.037 | − | 110.936i | −0.632809 | − | 0.221429i | ||||
\(502\) | 249.398 | + | 517.880i | 0.496808 | + | 1.03163i | ||||
\(503\) | −543.585 | + | 341.557i | −1.08069 | + | 0.679040i | −0.949958 | − | 0.312379i | \(-0.898874\pi\) |
−0.130728 | + | 0.991418i | \(0.541731\pi\) | |||||||
\(504\) | −49.6147 | + | 17.3609i | −0.0984418 | + | 0.0344463i | ||||
\(505\) | 304.627 | + | 304.627i | 0.603222 | + | 0.603222i | ||||
\(506\) | 573.075 | − | 1190.00i | 1.13256 | − | 2.35178i | ||||
\(507\) | −35.2493 | − | 312.846i | −0.0695252 | − | 0.617053i | ||||
\(508\) | −574.616 | + | 64.7437i | −1.13113 | + | 0.127448i | ||||
\(509\) | −108.052 | − | 52.0353i | −0.212284 | − | 0.102230i | 0.324720 | − | 0.945810i | \(-0.394730\pi\) |
−0.537004 | + | 0.843580i | \(0.680444\pi\) | |||||||
\(510\) | −305.471 | + | 305.471i | −0.598963 | + | 0.598963i | ||||
\(511\) | −23.8386 | − | 68.1267i | −0.0466508 | − | 0.133320i | ||||
\(512\) | 253.515 | + | 403.466i | 0.495146 | + | 0.788020i | ||||
\(513\) | −480.484 | + | 231.389i | −0.936616 | + | 0.451050i | ||||
\(514\) | −112.010 | + | 320.106i | −0.217918 | + | 0.622775i | ||||
\(515\) | −147.772 | + | 33.7280i | −0.286936 | + | 0.0654913i | ||||
\(516\) | 267.701 | − | 335.686i | 0.518799 | − | 0.650554i | ||||
\(517\) | −537.297 | − | 673.750i | −1.03926 | − | 1.30319i | ||||
\(518\) | −61.8089 | + | 270.802i | −0.119322 | + | 0.522785i | ||||
\(519\) | −28.1373 | + | 44.7803i | −0.0542144 | + | 0.0862818i | ||||
\(520\) | 7.59003 | − | 67.3634i | 0.0145962 | − | 0.129545i | ||||
\(521\) | 424.304i | 0.814404i | 0.913338 | + | 0.407202i | \(0.133495\pi\) | ||||
−0.913338 | + | 0.407202i | \(0.866505\pi\) | |||||||
\(522\) | −95.6307 | + | 185.203i | −0.183201 | + | 0.354795i | ||||
\(523\) | 4.61578 | 0.00882558 | 0.00441279 | − | 0.999990i | \(-0.498595\pi\) | ||||
0.00441279 | + | 0.999990i | \(0.498595\pi\) | |||||||
\(524\) | −453.700 | − | 51.1197i | −0.865840 | − | 0.0975568i | ||||
\(525\) | 183.611 | + | 115.370i | 0.349734 | + | 0.219753i | ||||
\(526\) | 136.596 | + | 31.1770i | 0.259687 | + | 0.0592720i | ||||
\(527\) | 219.863 | − | 175.335i | 0.417197 | − | 0.332703i | ||||
\(528\) | 647.478 | + | 516.347i | 1.22628 | + | 0.977929i | ||||
\(529\) | −79.7873 | − | 349.571i | −0.150827 | − | 0.660815i | ||||
\(530\) | −151.581 | − | 53.0405i | −0.286002 | − | 0.100076i | ||||
\(531\) | −57.6056 | − | 119.619i | −0.108485 | − | 0.225272i | ||||
\(532\) | −247.227 | + | 155.343i | −0.464712 | + | 0.291998i | ||||
\(533\) | −388.294 | + | 135.870i | −0.728507 | + | 0.254916i | ||||
\(534\) | −248.939 | − | 248.939i | −0.466178 | − | 0.466178i | ||||
\(535\) | −182.859 | + | 379.710i | −0.341792 | + | 0.709739i | ||||
\(536\) | 5.15582 | + | 45.7592i | 0.00961907 | + | 0.0853716i | ||||
\(537\) | 227.034 | − | 25.5805i | 0.422781 | − | 0.0476360i | ||||
\(538\) | 58.6734 | + | 28.2556i | 0.109058 | + | 0.0525198i | ||||
\(539\) | 178.400 | − | 178.400i | 0.330984 | − | 0.330984i | ||||
\(540\) | −85.0060 | − | 242.933i | −0.157418 | − | 0.449876i | ||||
\(541\) | 160.391 | + | 255.261i | 0.296472 | + | 0.471833i | 0.961431 | − | 0.275048i | \(-0.0886936\pi\) |
−0.664958 | + | 0.746880i | \(0.731551\pi\) | |||||||
\(542\) | 721.608 | − | 347.508i | 1.33138 | − | 0.641159i | ||||
\(543\) | −162.170 | + | 463.455i | −0.298656 | + | 0.853509i | ||||
\(544\) | 764.356 | − | 174.459i | 1.40507 | − | 0.320697i | ||||
\(545\) | 87.4304 | − | 109.634i | 0.160423 | − | 0.201164i | ||||
\(546\) | −154.950 | − | 194.302i | −0.283792 | − | 0.355864i | ||||
\(547\) | 33.8389 | − | 148.258i | 0.0618627 | − | 0.271038i | −0.934532 | − | 0.355880i | \(-0.884181\pi\) |
0.996394 | + | 0.0848416i | \(0.0270384\pi\) | |||||||
\(548\) | −252.222 | + | 401.409i | −0.460259 | + | 0.732498i | ||||
\(549\) | 15.0237 | − | 133.339i | 0.0273655 | − | 0.242876i | ||||
\(550\) | 658.293i | 1.19690i | ||||||||
\(551\) | 131.391 | − | 509.786i | 0.238459 | − | 0.925201i | ||||
\(552\) | 241.611 | 0.437700 | ||||||||
\(553\) | 589.929 | + | 66.4691i | 1.06678 | + | 0.120197i | ||||
\(554\) | −1095.77 | − | 688.518i | −1.97793 | − | 1.24281i | ||||
\(555\) | 141.753 | + | 32.3542i | 0.255411 | + | 0.0582959i | ||||
\(556\) | 336.313 | − | 268.201i | 0.604880 | − | 0.482375i | ||||
\(557\) | −24.5533 | − | 19.5806i | −0.0440814 | − | 0.0351538i | 0.601201 | − | 0.799098i | \(-0.294689\pi\) |
−0.645283 | + | 0.763944i | \(0.723260\pi\) | |||||||
\(558\) | 21.5166 | + | 94.2703i | 0.0385602 | + | 0.168943i | ||||
\(559\) | 386.660 | + | 135.298i | 0.691699 | + | 0.242036i | ||||
\(560\) | 157.181 | + | 326.390i | 0.280680 | + | 0.582839i | ||||
\(561\) | 754.074 | − | 473.816i | 1.34416 | − | 0.844592i | ||||
\(562\) | −981.646 | + | 343.493i | −1.74670 | + | 0.611197i | ||||
\(563\) | −667.667 | − | 667.667i | −1.18591 | − | 1.18591i | −0.978188 | − | 0.207721i | \(-0.933395\pi\) |
−0.207721 | − | 0.978188i | \(-0.566605\pi\) | |||||||
\(564\) | −150.424 | + | 312.358i | −0.266709 | + | 0.553826i | ||||
\(565\) | −32.2934 | − | 286.612i | −0.0571565 | − | 0.507278i | ||||
\(566\) | 191.227 | − | 21.5461i | 0.337857 | − | 0.0380674i | ||||
\(567\) | 255.326 | + | 122.958i | 0.450310 | + | 0.216858i | ||||
\(568\) | 61.5773 | − | 61.5773i | 0.108411 | − | 0.108411i | ||||
\(569\) | 296.283 | + | 846.727i | 0.520708 | + | 1.48810i | 0.841136 | + | 0.540824i | \(0.181888\pi\) |
−0.320428 | + | 0.947273i | \(0.603827\pi\) | |||||||
\(570\) | 199.604 | + | 317.668i | 0.350183 | + | 0.557312i | ||||
\(571\) | −603.338 | + | 290.552i | −1.05663 | + | 0.508848i | −0.879776 | − | 0.475388i | \(-0.842308\pi\) |
−0.176858 | + | 0.984236i | \(0.556593\pi\) | |||||||
\(572\) | 101.510 | − | 290.100i | 0.177466 | − | 0.507168i | ||||
\(573\) | 595.969 | − | 136.026i | 1.04009 | − | 0.237393i | ||||
\(574\) | 595.086 | − | 746.214i | 1.03673 | − | 1.30002i | ||||
\(575\) | 275.809 | + | 345.853i | 0.479668 | + | 0.601484i | ||||
\(576\) | −12.1228 | + | 53.1136i | −0.0210466 | + | 0.0922112i | ||||
\(577\) | −4.39331 | + | 6.99192i | −0.00761406 | + | 0.0121177i | −0.850510 | − | 0.525960i | \(-0.823706\pi\) |
0.842895 | + | 0.538077i | \(0.180849\pi\) | |||||||
\(578\) | 43.0330 | − | 381.928i | 0.0744516 | − | 0.660776i | ||||
\(579\) | 506.212i | 0.874287i | ||||||||
\(580\) | 237.383 | + | 90.5588i | 0.409281 | + | 0.156136i | ||||
\(581\) | −256.028 | −0.440669 | ||||||||
\(582\) | 945.569 | + | 106.540i | 1.62469 | + | 0.183059i | ||||
\(583\) | 280.321 | + | 176.137i | 0.480825 | + | 0.302122i | ||||
\(584\) | 39.0762 | + | 8.91890i | 0.0669114 | + | 0.0152721i | ||||
\(585\) | 45.1395 | − | 35.9975i | 0.0771615 | − | 0.0615342i | ||||
\(586\) | −915.717 | − | 730.260i | −1.56266 | − | 1.24618i | ||||
\(587\) | −68.8550 | − | 301.673i | −0.117300 | − | 0.513924i | −0.999105 | − | 0.0423093i | \(-0.986529\pi\) |
0.881805 | − | 0.471615i | \(-0.156329\pi\) | |||||||
\(588\) | −95.8046 | − | 33.5235i | −0.162933 | − | 0.0570127i | ||||
\(589\) | −105.964 | − | 220.036i | −0.179905 | − | 0.373576i | ||||
\(590\) | −336.366 | + | 211.353i | −0.570112 | + | 0.358225i | ||||
\(591\) | −149.112 | + | 52.1766i | −0.252305 | + | 0.0882853i | ||||
\(592\) | −251.225 | − | 251.225i | −0.424366 | − | 0.424366i | ||||
\(593\) | 313.607 | − | 651.212i | 0.528849 | − | 1.09817i | −0.449896 | − | 0.893081i | \(-0.648539\pi\) |
0.978744 | − | 0.205084i | \(-0.0657469\pi\) | |||||||
\(594\) | 145.825 | + | 1294.23i | 0.245497 | + | 2.17885i | ||||
\(595\) | 387.121 | − | 43.6181i | 0.650624 | − | 0.0733077i | ||||
\(596\) | 259.177 | + | 124.813i | 0.434861 | + | 0.209418i | ||||
\(597\) | 79.4033 | − | 79.4033i | 0.133004 | − | 0.133004i | ||||
\(598\) | −167.443 | − | 478.526i | −0.280006 | − | 0.800210i | ||||
\(599\) | −202.636 | − | 322.493i | −0.338290 | − | 0.538386i | 0.633648 | − | 0.773621i | \(-0.281557\pi\) |
−0.971938 | + | 0.235235i | \(0.924414\pi\) | |||||||
\(600\) | −108.494 | + | 52.2481i | −0.180824 | + | 0.0870801i | ||||
\(601\) | −311.119 | + | 889.126i | −0.517668 | + | 1.47941i | 0.327469 | + | 0.944862i | \(0.393804\pi\) |
−0.845137 | + | 0.534549i | \(0.820481\pi\) | |||||||
\(602\) | −926.597 | + | 211.490i | −1.53920 | + | 0.351312i | ||||
\(603\) | −24.4527 | + | 30.6627i | −0.0405518 | + | 0.0508503i | ||||
\(604\) | −191.434 | − | 240.050i | −0.316943 | − | 0.397434i | ||||
\(605\) | −120.670 | + | 528.690i | −0.199455 | + | 0.873868i | ||||
\(606\) | −466.620 | + | 742.621i | −0.770000 | + | 1.22545i | ||||
\(607\) | 9.33482 | − | 82.8488i | 0.0153786 | − | 0.136489i | −0.983677 | − | 0.179945i | \(-0.942408\pi\) |
0.999055 | + | 0.0434556i | \(0.0138367\pi\) | |||||||
\(608\) | − | 680.878i | − | 1.11986i | ||||||
\(609\) | −386.547 | + | 173.062i | −0.634724 | + | 0.284175i | ||||
\(610\) | −401.490 | −0.658180 | ||||||||
\(611\) | −328.696 | − | 37.0352i | −0.537964 | − | 0.0606140i | ||||
\(612\) | 134.639 | + | 84.5993i | 0.219998 | + | 0.138234i | ||||
\(613\) | −730.866 | − | 166.815i | −1.19228 | − | 0.272129i | −0.420065 | − | 0.907494i | \(-0.637993\pi\) |
−0.772212 | + | 0.635365i | \(0.780850\pi\) | |||||||
\(614\) | −42.6568 | + | 34.0177i | −0.0694737 | + | 0.0554034i | ||||
\(615\) | −390.610 | − | 311.501i | −0.635139 | − | 0.506506i | ||||
\(616\) | −72.1486 | − | 316.104i | −0.117124 | − | 0.513155i | ||||
\(617\) | 516.148 | + | 180.608i | 0.836544 | + | 0.292719i | 0.714351 | − | 0.699787i | \(-0.246722\pi\) |
0.122192 | + | 0.992506i | \(0.461008\pi\) | |||||||
\(618\) | −133.886 | − | 278.017i | −0.216644 | − | 0.449866i | ||||
\(619\) | −669.936 | + | 420.949i | −1.08229 | + | 0.680046i | −0.950341 | − | 0.311211i | \(-0.899266\pi\) |
−0.131947 | + | 0.991257i | \(0.542123\pi\) | |||||||
\(620\) | 111.251 | − | 38.9283i | 0.179436 | − | 0.0627875i | ||||
\(621\) | 618.867 | + | 618.867i | 0.996565 | + | 0.996565i | ||||
\(622\) | 174.076 | − | 361.472i | 0.279865 | − | 0.581145i | ||||
\(623\) | 35.5459 | + | 315.478i | 0.0570560 | + | 0.506386i | ||||
\(624\) | 315.880 | − | 35.5911i | 0.506217 | − | 0.0570370i | ||||
\(625\) | 30.0154 | + | 14.4547i | 0.0480247 | + | 0.0231275i | ||||
\(626\) | 313.447 | − | 313.447i | 0.500713 | − | 0.500713i | ||||
\(627\) | −255.446 | − | 730.023i | −0.407410 | − | 1.16431i | ||||
\(628\) | 318.719 | + | 507.239i | 0.507515 | + | 0.807705i | ||||
\(629\) | −344.229 | + | 165.772i | −0.547263 | + | 0.263548i | ||||
\(630\) | −44.2417 | + | 126.436i | −0.0702249 | + | 0.200691i | ||||
\(631\) | 305.108 | − | 69.6389i | 0.483531 | − | 0.110363i | 0.0261949 | − | 0.999657i | \(-0.491661\pi\) |
0.457336 | + | 0.889294i | \(0.348804\pi\) | |||||||
\(632\) | −205.546 | + | 257.747i | −0.325232 | + | 0.407828i | ||||
\(633\) | −440.413 | − | 552.261i | −0.695756 | − | 0.872450i | ||||
\(634\) | −21.6182 | + | 94.7153i | −0.0340980 | + | 0.149393i | ||||
\(635\) | 356.479 | − | 567.333i | 0.561384 | − | 0.893438i | ||||
\(636\) | 14.9125 | − | 132.352i | 0.0234474 | − | 0.208101i | ||||
\(637\) | − | 96.8410i | − | 0.152027i | ||||||
\(638\) | −1069.16 | − | 714.076i | −1.67580 | − | 1.11924i | ||||
\(639\) | 74.1679 | 0.116069 | ||||||||
\(640\) | −313.024 | − | 35.2693i | −0.489100 | − | 0.0551083i | ||||
\(641\) | 166.181 | + | 104.418i | 0.259253 | + | 0.162899i | 0.655387 | − | 0.755293i | \(-0.272506\pi\) |
−0.396134 | + | 0.918193i | \(0.629648\pi\) | |||||||
\(642\) | −836.482 | − | 190.922i | −1.30293 | − | 0.297386i | ||||
\(643\) | −28.9995 | + | 23.1263i | −0.0451003 | + | 0.0359663i | −0.645781 | − | 0.763523i | \(-0.723468\pi\) |
0.600680 | + | 0.799489i | \(0.294896\pi\) | |||||||
\(644\) | 374.636 | + | 298.763i | 0.581734 | + | 0.463917i | ||||
\(645\) | 110.706 | + | 485.033i | 0.171637 | + | 0.751989i | ||||
\(646\) | −930.522 | − | 325.604i | −1.44044 | − | 0.504030i | ||||
\(647\) | 341.548 | + | 709.232i | 0.527895 | + | 1.09619i | 0.979027 | + | 0.203729i | \(0.0653061\pi\) |
−0.451132 | + | 0.892457i | \(0.648980\pi\) | |||||||
\(648\) | −133.250 | + | 83.7267i | −0.205633 | + | 0.129208i | ||||
\(649\) | 772.992 | − | 270.482i | 1.19105 | − | 0.416767i | ||||
\(650\) | 178.670 | + | 178.670i | 0.274878 | + | 0.274878i | ||||
\(651\) | −85.2467 | + | 177.017i | −0.130947 | + | 0.271915i | ||||
\(652\) | −17.6877 | − | 156.983i | −0.0271284 | − | 0.240771i | ||||
\(653\) | 651.771 | − | 73.4370i | 0.998118 | − | 0.112461i | 0.402239 | − | 0.915535i | \(-0.368232\pi\) |
0.595879 | + | 0.803074i | \(0.296804\pi\) | |||||||
\(654\) | 257.208 | + | 123.865i | 0.393285 | + | 0.189396i | ||||
\(655\) | 374.087 | − | 374.087i | 0.571125 | − | 0.571125i | ||||
\(656\) | 403.207 | + | 1152.30i | 0.614646 | + | 1.75656i | ||||
\(657\) | 18.1618 | + | 28.9043i | 0.0276435 | + | 0.0439943i | ||||
\(658\) | 691.435 | − | 332.978i | 1.05081 | − | 0.506045i | ||||
\(659\) | −49.7225 | + | 142.099i | −0.0754514 | + | 0.215628i | −0.975431 | − | 0.220304i | \(-0.929295\pi\) |
0.899980 | + | 0.435931i | \(0.143581\pi\) | |||||||
\(660\) | 363.907 | − | 83.0593i | 0.551374 | − | 0.125847i | ||||
\(661\) | 236.407 | − | 296.445i | 0.357650 | − | 0.448479i | −0.570159 | − | 0.821534i | \(-0.693118\pi\) |
0.927809 | + | 0.373055i | \(0.121690\pi\) | |||||||
\(662\) | 447.195 | + | 560.764i | 0.675521 | + | 0.847076i | ||||
\(663\) | 76.0662 | − | 333.268i | 0.114730 | − | 0.502666i | ||||
\(664\) | 75.6427 | − | 120.385i | 0.113920 | − | 0.181302i | ||||
\(665\) | 37.8803 | − | 336.197i | 0.0569628 | − | 0.505559i | ||||
\(666\) | − | 131.372i | − | 0.197255i | ||||||
\(667\) | −860.895 | + | 72.7909i | −1.29070 | + | 0.109132i | ||||
\(668\) | 369.925 | 0.553780 | ||||||||
\(669\) | 25.8564 | + | 2.91332i | 0.0386494 | + | 0.00435474i | ||||
\(670\) | 99.3616 | + | 62.4330i | 0.148301 | + | 0.0931836i | ||||
\(671\) | 806.926 | + | 184.176i | 1.20257 | + | 0.274479i | ||||
\(672\) | −428.255 | + | 341.522i | −0.637284 | + | 0.508217i | ||||
\(673\) | −387.895 | − | 309.336i | −0.576367 | − | 0.459637i | 0.291405 | − | 0.956600i | \(-0.405877\pi\) |
−0.867772 | + | 0.496963i | \(0.834449\pi\) | |||||||
\(674\) | 150.642 | + | 660.007i | 0.223505 | + | 0.979239i | ||||
\(675\) | −411.729 | − | 144.070i | −0.609969 | − | 0.213437i | ||||
\(676\) | 150.441 | + | 312.393i | 0.222545 | + | 0.462120i | ||||
\(677\) | −659.147 | + | 414.170i | −0.973630 | + | 0.611772i | −0.922122 | − | 0.386900i | \(-0.873546\pi\) |
−0.0515083 | + | 0.998673i | \(0.516403\pi\) | |||||||
\(678\) | 554.234 | − | 193.935i | 0.817455 | − | 0.286040i | ||||
\(679\) | −606.763 | − | 606.763i | −0.893612 | − | 0.893612i | ||||
\(680\) | −93.8645 | + | 194.912i | −0.138036 | + | 0.286635i | ||||
\(681\) | −18.8267 | − | 167.092i | −0.0276457 | − | 0.245362i | ||||
\(682\) | −592.691 | + | 66.7803i | −0.869049 | + | 0.0979183i | ||||
\(683\) | 346.400 | + | 166.817i | 0.507174 | + | 0.244242i | 0.669930 | − | 0.742424i | \(-0.266324\pi\) |
−0.162756 | + | 0.986666i | \(0.552038\pi\) | |||||||
\(684\) | 97.6472 | − | 97.6472i | 0.142759 | − | 0.142759i | ||||
\(685\) | −181.428 | − | 518.492i | −0.264859 | − | 0.756923i | ||||
\(686\) | 515.712 | + | 820.751i | 0.751767 | + | 1.19643i | ||||
\(687\) | 581.224 | − | 279.903i | 0.846032 | − | 0.407428i | ||||
\(688\) | 401.510 | − | 1147.45i | 0.583591 | − | 1.66781i | ||||
\(689\) | 123.889 | − | 28.2770i | 0.179811 | − | 0.0410406i | ||||
\(690\) | 383.888 | − | 481.380i | 0.556359 | − | 0.697652i | ||||
\(691\) | 654.553 | + | 820.783i | 0.947254 | + | 1.18782i | 0.982087 | + | 0.188426i | \(0.0603386\pi\) |
−0.0348332 | + | 0.999393i | \(0.511090\pi\) | |||||||
\(692\) | 12.9610 | − | 56.7857i | 0.0187297 | − | 0.0820603i | ||||
\(693\) | 146.918 | − | 233.819i | 0.212003 | − | 0.337401i | ||||
\(694\) | 22.0367 | − | 195.581i | 0.0317532 | − | 0.281817i | ||||
\(695\) | 498.436i | 0.717175i | ||||||||
\(696\) | 32.8299 | − | 232.885i | 0.0471694 | − | 0.334605i | ||||
\(697\) | 1312.83 | 1.88354 | ||||||||
\(698\) | −227.411 | − | 25.6231i | −0.325804 | − | 0.0367093i | ||||
\(699\) | −295.762 | − | 185.840i | −0.423121 | − | 0.265865i | ||||
\(700\) | −232.836 | − | 53.1433i | −0.332623 | − | 0.0759190i | ||||
\(701\) | 70.4321 | − | 56.1677i | 0.100474 | − | 0.0801252i | −0.571964 | − | 0.820278i | \(-0.693818\pi\) |
0.672438 | + | 0.740153i | \(0.265247\pi\) | |||||||
\(702\) | 390.854 | + | 311.695i | 0.556772 | + | 0.444011i | ||||
\(703\) | 73.8336 | + | 323.486i | 0.105026 | + | 0.460151i | ||||
\(704\) | −317.188 | − | 110.989i | −0.450552 | − | 0.157655i | ||||
\(705\) | −174.299 | − | 361.936i | −0.247233 | − | 0.513384i | ||||
\(706\) | 939.659 | − | 590.427i | 1.33096 | − | 0.836299i | ||||
\(707\) | 746.526 | − | 261.221i | 1.05591 | − | 0.369478i | ||||
\(708\) | −232.970 | − | 232.970i | −0.329053 | − | 0.329053i | ||||
\(709\) | −457.420 | + | 949.843i | −0.645162 | + | 1.33969i | 0.279955 | + | 0.960013i | \(0.409680\pi\) |
−0.925118 | + | 0.379681i | \(0.876034\pi\) | |||||||
\(710\) | −24.8471 | − | 220.524i | −0.0349959 | − | 0.310597i | ||||
\(711\) | −279.011 | + | 31.4370i | −0.392420 | + | 0.0442152i | ||||
\(712\) | −158.840 | − | 76.4933i | −0.223090 | − | 0.107434i | ||||
\(713\) | −283.408 | + | 283.408i | −0.397487 | + | 0.397487i | ||||
\(714\) | 261.944 | + | 748.594i | 0.366869 | + | 1.04845i | ||||
\(715\) | 189.473 | + | 301.544i | 0.264997 | + | 0.421740i | ||||
\(716\) | −226.705 | + | 109.175i | −0.316627 | + | 0.152480i | ||||
\(717\) | 81.5602 | − | 233.086i | 0.113752 | − | 0.325085i | ||||
\(718\) | 1064.72 | − | 243.015i | 1.48289 | − | 0.338461i | ||||
\(719\) | −375.775 | + | 471.207i | −0.522636 | + | 0.655364i | −0.971166 | − | 0.238403i | \(-0.923376\pi\) |
0.448531 | + | 0.893767i | \(0.351947\pi\) | |||||||
\(720\) | −106.826 | − | 133.956i | −0.148370 | − | 0.186050i | ||||
\(721\) | −61.9204 | + | 271.291i | −0.0858813 | + | 0.376270i | ||||
\(722\) | 43.4815 | − | 69.2005i | 0.0602237 | − | 0.0958455i | ||||
\(723\) | −102.062 | + | 905.822i | −0.141164 | + | 1.25287i | ||||
\(724\) | − | 540.769i | − | 0.746919i | ||||||
\(725\) | 370.840 | − | 218.854i | 0.511504 | − | 0.301868i | ||||
\(726\) | −1104.00 | −1.52067 | ||||||||
\(727\) | −652.396 | − | 73.5073i | −0.897380 | − | 0.101110i | −0.348789 | − | 0.937201i | \(-0.613407\pi\) |
−0.548591 | + | 0.836091i | \(0.684836\pi\) | |||||||
\(728\) | −105.377 | − | 66.2131i | −0.144749 | − | 0.0909520i | ||||
\(729\) | −774.239 | − | 176.715i | −1.06206 | − | 0.242407i | ||||
\(730\) | 79.8569 | − | 63.6837i | 0.109393 | − | 0.0872380i | ||||
\(731\) | −1022.09 | − | 815.089i | −1.39821 | − | 1.11503i | ||||
\(732\) | −74.0951 | − | 324.632i | −0.101223 | − | 0.443486i | ||||
\(733\) | −1069.34 | − | 374.177i | −1.45885 | − | 0.510473i | −0.519810 | − | 0.854282i | \(-0.673997\pi\) |
−0.939040 | + | 0.343809i | \(0.888283\pi\) | |||||||
\(734\) | −282.498 | − | 586.614i | −0.384875 | − | 0.799201i | ||||
\(735\) | 99.5839 | − | 62.5727i | 0.135488 | − | 0.0851330i | ||||
\(736\) | −1054.70 | + | 369.057i | −1.43302 | + | 0.501436i | ||||
\(737\) | −171.060 | − | 171.060i | −0.232103 | − | 0.232103i | ||||
\(738\) | −195.860 | + | 406.707i | −0.265392 | + | 0.551093i | ||||
\(739\) | 72.0915 | + | 639.830i | 0.0975527 | + | 0.865805i | 0.943237 | + | 0.332121i | \(0.107764\pi\) |
−0.845684 | + | 0.533684i | \(0.820807\pi\) | |||||||
\(740\) | −159.127 | + | 17.9293i | −0.215036 | + | 0.0242288i | ||||
\(741\) | −267.471 | − | 128.807i | −0.360959 | − | 0.173829i | ||||
\(742\) | −208.475 | + | 208.475i | −0.280964 | + | 0.280964i | ||||
\(743\) | 147.582 | + | 421.766i | 0.198630 | + | 0.567653i | 0.999514 | − | 0.0311669i | \(-0.00992233\pi\) |
−0.800884 | + | 0.598820i | \(0.795637\pi\) | |||||||
\(744\) | −58.0475 | − | 92.3820i | −0.0780208 | − | 0.124169i | ||||
\(745\) | −300.314 | + | 144.624i | −0.403106 | + | 0.194126i | ||||
\(746\) | 421.450 | − | 1204.44i | 0.564947 | − | 1.61453i | ||||
\(747\) | 118.054 | − | 26.9451i | 0.158038 | − | 0.0360711i | ||||
\(748\) | −611.538 | + | 766.844i | −0.817564 | + | 1.02519i | ||||
\(749\) | 482.408 | + | 604.921i | 0.644070 | + | 0.807638i | ||||
\(750\) | −183.256 | + | 802.896i | −0.244341 | + | 1.07053i | ||||
\(751\) | 523.385 | − | 832.962i | 0.696917 | − | 1.10914i | −0.291381 | − | 0.956607i | \(-0.594115\pi\) |
0.988299 | − | 0.152531i | \(-0.0487423\pi\) | |||||||
\(752\) | −109.905 | + | 975.438i | −0.146151 | + | 1.29712i | ||||
\(753\) | − | 552.385i | − | 0.733580i | ||||||
\(754\) | −483.997 | + | 96.3746i | −0.641905 | + | 0.127818i | ||||
\(755\) | 355.769 | 0.471217 | ||||||||
\(756\) | −469.539 | − | 52.9044i | −0.621083 | − | 0.0699793i | ||||
\(757\) | −315.734 | − | 198.389i | −0.417086 | − | 0.262073i | 0.307100 | − | 0.951677i | \(-0.400641\pi\) |
−0.724186 | + | 0.689605i | \(0.757784\pi\) | |||||||
\(758\) | 21.3047 | + | 4.86265i | 0.0281064 | + | 0.00641511i | ||||
\(759\) | −992.372 | + | 791.390i | −1.30747 | + | 1.04267i | ||||
\(760\) | 146.888 | + | 117.139i | 0.193274 | + | 0.154131i | ||||
\(761\) | 0.0873012 | + | 0.382492i | 0.000114719 | + | 0.000502617i | 0.974985 | − | 0.222270i | \(-0.0713465\pi\) |
−0.974871 | + | 0.222772i | \(0.928489\pi\) | |||||||
\(762\) | 1287.53 | + | 450.525i | 1.68967 | + | 0.591240i | ||||
\(763\) | −111.699 | − | 231.945i | −0.146395 | − | 0.303991i | ||||
\(764\) | −570.053 | + | 358.188i | −0.746143 | + | 0.468833i | ||||
\(765\) | −173.911 | + | 60.8540i | −0.227334 | + | 0.0795477i | ||||
\(766\) | −191.987 | − | 191.987i | −0.250636 | − | 0.250636i | ||||
\(767\) | 136.389 | − | 283.214i | 0.177821 | − | 0.369250i | ||||
\(768\) | −93.8219 | − | 832.693i | −0.122164 | − | 1.08424i | ||||
\(769\) | 1349.61 | − | 152.064i | 1.75502 | − | 0.197743i | 0.824968 | − | 0.565179i | \(-0.191193\pi\) |
0.930049 | + | 0.367436i | \(0.119764\pi\) | |||||||
\(770\) | −744.433 | − | 358.500i | −0.966797 | − | 0.465585i | ||||
\(771\) | 230.454 | − | 230.454i | 0.298903 | − | 0.298903i | ||||
\(772\) | −184.135 | − | 526.227i | −0.238517 | − | 0.681641i | ||||
\(773\) | 392.849 | + | 625.216i | 0.508214 | + | 0.808818i | 0.998012 | − | 0.0630179i | \(-0.0200725\pi\) |
−0.489798 | + | 0.871836i | \(0.662930\pi\) | |||||||
\(774\) | 404.995 | − | 195.035i | 0.523249 | − | 0.251984i | ||||
\(775\) | 65.9766 | − | 188.550i | 0.0851310 | − | 0.243291i | ||||
\(776\) | 464.566 | − | 106.034i | 0.598668 | − | 0.136642i | ||||
\(777\) | 166.430 | − | 208.697i | 0.214196 | − | 0.268593i | ||||
\(778\) | 7.56411 | + | 9.48510i | 0.00972251 | + | 0.0121916i | ||||
\(779\) | 253.702 | − | 1111.54i | 0.325677 | − | 1.42688i | ||||
\(780\) | 76.2261 | − | 121.313i | 0.0977258 | − | 0.155530i | ||||
\(781\) | −51.2226 | + | 454.613i | −0.0655859 | + | 0.582091i | ||||
\(782\) | 1617.90i | 2.06893i | ||||||||
\(783\) | 680.609 | − | 512.426i | 0.869232 | − | 0.654440i | ||||
\(784\) | −287.385 | −0.366563 | ||||||||
\(785\) | −689.779 | − | 77.7195i | −0.878700 | − | 0.0990057i | ||||
\(786\) | 911.950 | + | 573.016i | 1.16024 | + | 0.729028i | ||||
\(787\) | 161.929 | + | 36.9592i | 0.205755 | + | 0.0469622i | 0.324156 | − | 0.946004i | \(-0.394920\pi\) |
−0.118401 | + | 0.992966i | \(0.537777\pi\) | |||||||
\(788\) | 136.029 | − | 108.479i | 0.172625 | − | 0.137664i | ||||
\(789\) | −105.269 | − | 83.9492i | −0.133421 | − | 0.106399i | ||||
\(790\) | 186.943 | + | 819.053i | 0.236637 | + | 1.03678i | ||||
\(791\) | −499.798 | − | 174.887i | −0.631856 | − | 0.221096i | ||||
\(792\) | 66.5352 | + | 138.162i | 0.0840091 | + | 0.174447i | ||||
\(793\) | 269.000 | − | 169.024i | 0.339218 | − | 0.213145i | ||||
\(794\) | 1623.65 | − | 568.139i | 2.04490 | − | 0.715540i | ||||
\(795\) | 109.128 | + | 109.128i | 0.137268 | + | 0.137268i | ||||
\(796\) | −53.6598 | + | 111.426i | −0.0674118 | + | 0.139982i | ||||
\(797\) | −32.0030 | − | 284.034i | −0.0401543 | − | 0.356379i | −0.997683 | − | 0.0680400i | \(-0.978325\pi\) |
0.957528 | − | 0.288339i | \(-0.0931031\pi\) | |||||||
\(798\) | 684.439 | − | 77.1178i | 0.857693 | − | 0.0966388i | ||||
\(799\) | 951.061 | + | 458.007i | 1.19031 | + | 0.573225i | ||||
\(800\) | 393.802 | − | 393.802i | 0.492253 | − | 0.492253i | ||||
\(801\) | −49.5920 | − | 141.726i | −0.0619126 | − | 0.176936i | ||||
\(802\) | −658.461 | − | 1047.93i | −0.821024 | − | 1.30665i | ||||
\(803\) | −189.712 | + | 91.3606i | −0.236254 | + | 0.113774i | ||||
\(804\) | −32.1441 | + | 91.8627i | −0.0399803 | + | 0.114257i | ||||
\(805\) | −541.313 | + | 123.551i | −0.672439 | + | 0.153480i | ||||
\(806\) | −142.740 | + | 178.990i | −0.177097 | + | 0.222072i | ||||
\(807\) | −39.0197 | − | 48.9292i | −0.0483516 | − | 0.0606309i | ||||
\(808\) | −97.7324 | + | 428.194i | −0.120956 | + | 0.529943i | ||||
\(809\) | −163.180 | + | 259.700i | −0.201706 | + | 0.321013i | −0.932225 | − | 0.361879i | \(-0.882135\pi\) |
0.730519 | + | 0.682892i | \(0.239278\pi\) | |||||||
\(810\) | −44.9020 | + | 398.516i | −0.0554345 | + | 0.491995i | ||||
\(811\) | 105.172i | 0.129682i | 0.997896 | + | 0.0648411i | \(0.0206541\pi\) | ||||
−0.997896 | + | 0.0648411i | \(0.979346\pi\) | |||||||
\(812\) | 338.879 | − | 320.511i | 0.417338 | − | 0.394718i | ||||
\(813\) | −769.688 | −0.946726 | ||||||||
\(814\) | 805.243 | + | 90.7291i | 0.989242 | + | 0.111461i | ||||
\(815\) | 154.993 | + | 97.3887i | 0.190176 | + | 0.119495i | ||||
\(816\) | −989.004 | − | 225.734i | −1.21201 | − | 0.276634i | ||||
\(817\) | −887.636 | + | 707.866i | −1.08646 | + | 0.866421i | ||||
\(818\) | −590.123 | − | 470.607i | −0.721422 | − | 0.575314i | ||||
\(819\) | −23.5861 | − | 103.338i | −0.0287987 | − | 0.126175i | ||||
\(820\) | 519.363 | + | 181.733i | 0.633370 | + | 0.221626i | ||||
\(821\) | −478.718 | − | 994.069i | −0.583092 | − | 1.21080i | −0.958805 | − | 0.284066i | \(-0.908316\pi\) |
0.375713 | − | 0.926736i | \(-0.377398\pi\) | |||||||
\(822\) | 946.907 | − | 594.981i | 1.15196 | − | 0.723822i | ||||
\(823\) | 760.371 | − | 266.065i | 0.923902 | − | 0.323287i | 0.173931 | − | 0.984758i | \(-0.444353\pi\) |
0.749971 | + | 0.661471i | \(0.230067\pi\) | |||||||
\(824\) | −109.267 | − | 109.267i | −0.132606 | − | 0.132606i | ||||
\(825\) | 274.483 | − | 569.970i | 0.332707 | − | 0.690873i | ||||
\(826\) | 81.6570 | + | 724.726i | 0.0988584 | + | 0.877392i | ||||
\(827\) | −1061.21 | + | 119.570i | −1.28321 | + | 0.144583i | −0.727102 | − | 0.686529i | \(-0.759133\pi\) |
−0.556105 | + | 0.831112i | \(0.687705\pi\) | |||||||
\(828\) | −204.187 | − | 98.3312i | −0.246603 | − | 0.118758i | ||||
\(829\) | −149.865 | + | 149.865i | −0.180777 | + | 0.180777i | −0.791695 | − | 0.610917i | \(-0.790801\pi\) |
0.610917 | + | 0.791695i | \(0.290801\pi\) | |||||||
\(830\) | −119.666 | − | 341.985i | −0.144175 | − | 0.412030i | ||||
\(831\) | 661.666 | + | 1053.03i | 0.796228 | + | 1.26719i | ||||
\(832\) | −116.214 | + | 55.9656i | −0.139680 | + | 0.0672663i | ||||
\(833\) | −102.072 | + | 291.704i | −0.122535 | + | 0.350185i | ||||
\(834\) | −989.290 | + | 225.799i | −1.18620 | + | 0.270742i | ||||
\(835\) | −267.253 | + | 335.124i | −0.320063 | + | 0.401347i | ||||
\(836\) | 531.092 | + | 665.968i | 0.635277 | + | 0.796612i | ||||
\(837\) | 87.9453 | − | 385.314i | 0.105072 | − | 0.460351i | ||||
\(838\) | 474.040 | − | 754.430i | 0.565680 | − | 0.900275i | ||||
\(839\) | 24.7378 | − | 219.554i | 0.0294849 | − | 0.261686i | −0.970318 | − | 0.241833i | \(-0.922252\pi\) |
0.999803 | − | 0.0198533i | \(-0.00631992\pi\) | |||||||
\(840\) | − | 151.145i | − | 0.179935i | ||||||
\(841\) | −46.8158 | + | 839.696i | −0.0556668 | + | 0.998449i | ||||
\(842\) | 1382.38 | 1.64179 | ||||||||
\(843\) | 993.162 | + | 111.902i | 1.17813 | + | 0.132743i | ||||
\(844\) | 658.712 | + | 413.896i | 0.780464 | + | 0.490398i | ||||
\(845\) | −391.691 | − | 89.4009i | −0.463540 | − | 0.105800i | ||||
\(846\) | −283.776 | + | 226.304i | −0.335433 | + | 0.267499i | ||||
\(847\) | 778.368 | + | 620.727i | 0.918970 | + | 0.732854i | ||||
\(848\) | −83.9146 | − | 367.654i | −0.0989559 | − | 0.433554i | ||||
\(849\) | −174.554 | − | 61.0792i | −0.205600 | − | 0.0719425i | ||||
\(850\) | −349.869 | − | 726.511i | −0.411611 | − | 0.854719i | ||||
\(851\) | 461.072 | − | 289.711i | 0.541800 | − | 0.340435i | ||||
\(852\) | 173.723 | − | 60.7883i | 0.203900 | − | 0.0713477i | ||||
\(853\) | 55.5077 | + | 55.5077i | 0.0650735 | + | 0.0650735i | 0.738895 | − | 0.673821i | \(-0.235348\pi\) |
−0.673821 | + | 0.738895i | \(0.735348\pi\) | |||||||
\(854\) | −319.809 | + | 664.090i | −0.374484 | + | 0.777623i | ||||
\(855\) | 17.9157 | + | 159.006i | 0.0209541 | + | 0.185972i | ||||
\(856\) | −426.960 | + | 48.1068i | −0.498785 | + | 0.0561996i | ||||
\(857\) | −1012.19 | − | 487.444i | −1.18108 | − | 0.568780i | −0.262857 | − | 0.964835i | \(-0.584665\pi\) |
−0.918227 | + | 0.396055i | \(0.870379\pi\) | |||||||
\(858\) | −512.667 | + | 512.667i | −0.597514 | + | 0.597514i | ||||
\(859\) | −359.765 | − | 1028.15i | −0.418819 | − | 1.19692i | −0.939316 | − | 0.343052i | \(-0.888539\pi\) |
0.520497 | − | 0.853863i | \(-0.325747\pi\) | |||||||
\(860\) | −291.514 | − | 463.941i | −0.338969 | − | 0.539467i | ||||
\(861\) | −826.386 | + | 397.967i | −0.959798 | + | 0.462215i | ||||
\(862\) | −482.048 | + | 1377.61i | −0.559220 | + | 1.59816i | ||||
\(863\) | −1206.77 | + | 275.437i | −1.39834 | + | 0.319163i | −0.854250 | − | 0.519862i | \(-0.825983\pi\) |
−0.544093 | + | 0.839025i | \(0.683126\pi\) | |||||||
\(864\) | 686.999 | − | 861.470i | 0.795138 | − | 0.997071i | ||||
\(865\) | 42.0799 | + | 52.7666i | 0.0486473 | + | 0.0610018i | ||||
\(866\) | −72.5346 | + | 317.795i | −0.0837582 | + | 0.366969i | ||||
\(867\) | −196.509 | + | 312.742i | −0.226654 | + | 0.360718i | ||||
\(868\) | 24.2274 | − | 215.024i | 0.0279118 | − | 0.247724i | ||||
\(869\) | − | 1731.91i | − | 1.99299i | ||||||
\(870\) | −411.833 | − | 435.434i | −0.473372 | − | 0.500499i | ||||
\(871\) | −92.8564 | −0.106609 | ||||||||
\(872\) | 142.062 | + | 16.0065i | 0.162915 | + | 0.0183561i | ||||
\(873\) | 343.635 | + | 215.920i | 0.393625 | + | 0.247331i | ||||
\(874\) | 1369.84 | + | 312.657i | 1.56732 | + | 0.357731i | ||||
\(875\) | 580.632 | − | 463.039i | 0.663579 | − | 0.529187i | ||||
\(876\) | 66.2302 | + | 52.8169i | 0.0756053 | + | 0.0602932i | ||||
\(877\) | 123.979 | + | 543.187i | 0.141367 | + | 0.619369i | 0.995118 | + | 0.0986885i | \(0.0314647\pi\) |
−0.853751 | + | 0.520681i | \(0.825678\pi\) | |||||||
\(878\) | 1271.33 | + | 444.857i | 1.44798 | + | 0.506671i | ||||
\(879\) | 488.365 | + | 1014.10i | 0.555592 | + | 1.15370i | ||||
\(880\) | 894.860 | − | 562.278i | 1.01689 | − | 0.638952i | ||||
\(881\) | −862.626 | + | 301.846i | −0.979144 | + | 0.342617i | −0.771950 | − | 0.635683i | \(-0.780719\pi\) |
−0.207193 | + | 0.978300i | \(0.566433\pi\) | |||||||
\(882\) | −75.1403 | − | 75.1403i | −0.0851931 | − | 0.0851931i | ||||
\(883\) | −286.016 | + | 593.917i | −0.323913 | + | 0.672613i | −0.997805 | − | 0.0662169i | \(-0.978907\pi\) |
0.673892 | + | 0.738830i | \(0.264621\pi\) | |||||||
\(884\) | 42.1525 | + | 374.114i | 0.0476838 | + | 0.423205i | ||||
\(885\) | 379.362 | − | 42.7439i | 0.428658 | − | 0.0482982i | ||||
\(886\) | 141.755 | + | 68.2658i | 0.159995 | + | 0.0770495i | ||||
\(887\) | 106.910 | − | 106.910i | 0.120530 | − | 0.120530i | −0.644269 | − | 0.764799i | \(-0.722838\pi\) |
0.764799 | + | 0.644269i | \(0.222838\pi\) | |||||||
\(888\) | 48.9582 | + | 139.914i | 0.0551331 | + | 0.157561i | ||||
\(889\) | −654.451 | − | 1041.55i | −0.736165 | − | 1.17160i | ||||
\(890\) | −404.780 | + | 194.932i | −0.454809 | + | 0.219024i | ||||
\(891\) | 273.057 | − | 780.351i | 0.306461 | − | 0.875815i | ||||
\(892\) | −27.9385 | + | 6.37677i | −0.0313212 | + | 0.00714885i | ||||
\(893\) | 571.576 | − | 716.734i | 0.640063 | − | 0.802613i | ||||
\(894\) | −423.094 | − | 530.543i | −0.473260 | − | 0.593449i | ||||
\(895\) | 64.8786 | − | 284.252i | 0.0724901 | − | 0.317600i | ||||
\(896\) | −307.679 | + | 489.668i | −0.343391 | + | 0.546504i | ||||
\(897\) | −54.5494 | + | 484.140i | −0.0608132 | + | 0.539732i | ||||
\(898\) | − | 1861.25i | − | 2.07266i | ||||||
\(899\) | 234.664 | + | 311.683i | 0.261028 | + | 0.346700i | ||||
\(900\) | 112.953 | 0.125504 | ||||||||
\(901\) | −402.983 | − | 45.4053i | −0.447262 | − | 0.0503944i | ||||
\(902\) | −2357.65 | − | 1481.41i | −2.61380 | − | 1.64236i | ||||
\(903\) | 890.459 | + | 203.242i | 0.986112 | + | 0.225074i | ||||
\(904\) | 229.896 | − | 183.336i | 0.254309 | − | 0.202805i | ||||
\(905\) | 489.896 | + | 390.679i | 0.541322 | + | 0.431690i | ||||
\(906\) | 161.169 | + | 706.125i | 0.177890 | + | 0.779388i | ||||
\(907\) | 1362.30 | + | 476.689i | 1.50198 | + | 0.525566i | 0.951064 | − | 0.308993i | \(-0.0999920\pi\) |
0.550918 | + | 0.834559i | \(0.314278\pi\) | |||||||
\(908\) | 80.3507 | + | 166.850i | 0.0884920 | + | 0.183756i | ||||
\(909\) | −316.730 | + | 199.015i | −0.348438 | + | 0.218938i | ||||
\(910\) | −299.353 | + | 104.748i | −0.328959 | + | 0.115108i | ||||
\(911\) | 350.673 | + | 350.673i | 0.384932 | + | 0.384932i | 0.872875 | − | 0.487943i | \(-0.162253\pi\) |
−0.487943 | + | 0.872875i | \(0.662253\pi\) | |||||||
\(912\) | −382.248 | + | 793.746i | −0.419131 | + | 0.870335i | ||||
\(913\) | 83.6286 | + | 742.225i | 0.0915976 | + | 0.812951i | ||||
\(914\) | −1412.68 | + | 159.171i | −1.54561 | + | 0.174148i | ||||
\(915\) | 347.622 | + | 167.406i | 0.379915 | + | 0.182957i | ||||
\(916\) | −502.390 | + | 502.390i | −0.548461 | + | 0.548461i | ||||
\(917\) | −320.783 | − | 916.745i | −0.349818 | − | 0.999722i | ||||
\(918\) | −848.797 | − | 1350.85i | −0.924615 | − | 1.47152i | ||||
\(919\) | 343.497 | − | 165.419i | 0.373772 | − | 0.179999i | −0.237561 | − | 0.971373i | \(-0.576348\pi\) |
0.611333 | + | 0.791374i | \(0.290634\pi\) | |||||||
\(920\) | 101.835 | − | 291.028i | 0.110691 | − | 0.316335i | ||||
\(921\) | 51.1177 | − | 11.6673i | 0.0555023 | − | 0.0126680i | ||||
\(922\) | −955.699 | + | 1198.41i | −1.03655 | + | 1.29979i | ||||
\(923\) | 109.486 | + | 137.291i | 0.118620 | + | 0.148745i | ||||
\(924\) | 152.486 | − | 668.086i | 0.165029 | − | 0.723037i | ||||
\(925\) | −144.393 | + | 229.800i | −0.156100 | + | 0.248432i | ||||
\(926\) | −22.0299 | + | 195.521i | −0.0237904 | + | 0.211146i | ||||
\(927\) | − | 131.609i | − | 0.141973i | ||||||
\(928\) | 212.417 | + | 1066.76i | 0.228897 | + | 1.14953i | ||||
\(929\) | −699.063 | −0.752490 | −0.376245 | − | 0.926520i | \(-0.622785\pi\) | ||||
−0.376245 | + | 0.926520i | \(0.622785\pi\) | |||||||
\(930\) | −276.290 | − | 31.1304i | −0.297086 | − | 0.0334736i | ||||
\(931\) | 227.254 | + | 142.793i | 0.244097 | + | 0.153376i | ||||
\(932\) | 375.055 | + | 85.6039i | 0.402420 | + | 0.0918496i | ||||
\(933\) | −301.440 | + | 240.391i | −0.323087 | + | 0.257653i | ||||
\(934\) | −350.644 | − | 279.630i | −0.375422 | − | 0.299389i | ||||
\(935\) | −252.897 | − | 1108.01i | −0.270478 | − | 1.18504i | ||||
\(936\) | 55.5578 | + | 19.4405i | 0.0593567 | + | 0.0207698i | ||||
\(937\) | 484.352 | + | 1005.77i | 0.516918 | + | 1.07339i | 0.982132 | + | 0.188192i | \(0.0602629\pi\) |
−0.465215 | + | 0.885198i | \(0.654023\pi\) | |||||||
\(938\) | 182.415 | − | 114.619i | 0.194473 | − | 0.122195i | ||||
\(939\) | −402.087 | + | 140.696i | −0.428208 | + | 0.149836i | ||||
\(940\) | 312.845 | + | 312.845i | 0.332814 | + | 0.332814i | ||||
\(941\) | 521.146 | − | 1082.17i | 0.553821 | − | 1.15002i | −0.416709 | − | 0.909040i | \(-0.636817\pi\) |
0.970530 | − | 0.240981i | \(-0.0774692\pi\) | |||||||
\(942\) | −158.224 | − | 1404.27i | −0.167966 | − | 1.49074i | ||||
\(943\) | −1859.33 | + | 209.497i | −1.97172 | + | 0.222160i | ||||
\(944\) | −840.466 | − | 404.747i | −0.890324 | − | 0.428758i | ||||
\(945\) | 387.146 | − | 387.146i | 0.409679 | − | 0.409679i | ||||
\(946\) | 915.769 | + | 2617.12i | 0.968044 | + | 2.76651i | ||||
\(947\) | 490.268 | + | 780.257i | 0.517706 | + | 0.823925i | 0.998602 | − | 0.0528529i | \(-0.0168315\pi\) |
−0.480896 | + | 0.876778i | \(0.659689\pi\) | |||||||
\(948\) | −627.759 | + | 302.313i | −0.662193 | + | 0.318896i | ||||
\(949\) | −26.6941 | + | 76.2874i | −0.0281287 | + | 0.0803871i | ||||
\(950\) | −682.733 | + | 155.829i | −0.718666 | + | 0.164031i | ||||
\(951\) | 58.2103 | − | 72.9935i | 0.0612096 | − | 0.0767544i | ||||
\(952\) | 247.628 | + | 310.516i | 0.260114 | + | 0.326172i | ||||
\(953\) | 176.169 | − | 771.848i | 0.184858 | − | 0.809914i | −0.794416 | − | 0.607373i | \(-0.792223\pi\) |
0.979274 | − | 0.202540i | \(-0.0649197\pi\) | |||||||
\(954\) | 74.1871 | − | 118.068i | 0.0777643 | − | 0.123761i | ||||
\(955\) | 87.3440 | − | 775.199i | 0.0914597 | − | 0.811727i | ||||
\(956\) | 271.969i | 0.284486i | ||||||||
\(957\) | 627.967 | + | 1064.07i | 0.656183 | + | 1.11188i | ||||
\(958\) | −38.7205 | −0.0404181 | ||||||||
\(959\) | −1002.14 | − | 112.914i | −1.04498 | − | 0.117741i | ||||
\(960\) | −132.641 | − | 83.3438i | −0.138168 | − | 0.0868165i | ||||
\(961\) | −760.452 | − | 173.568i | −0.791314 | − | 0.180612i | ||||
\(962\) | 243.180 | − | 193.930i | 0.252786 | − | 0.201590i | ||||
\(963\) | −286.101 | − | 228.158i | −0.297094 | − | 0.236924i | ||||
\(964\) | −223.396 | − | 978.761i | −0.231738 | − | 1.01531i | ||||
\(965\) | 609.751 | + | 213.361i | 0.631866 | + | 0.221099i | ||||
\(966\) | −490.446 | − | 1018.42i | −0.507708 | − | 1.05427i | ||||
\(967\) | −333.145 | + | 209.329i | −0.344514 | + | 0.216472i | −0.693163 | − | 0.720781i | \(-0.743783\pi\) |
0.348649 | + | 0.937253i | \(0.386640\pi\) | |||||||
\(968\) | −521.832 | + | 182.597i | −0.539083 | + | 0.188633i | ||||
\(969\) | 669.910 | + | 669.910i | 0.691341 | + | 0.691341i | ||||
\(970\) | 526.875 | − | 1094.07i | 0.543170 | − | 1.12790i | ||||
\(971\) | 54.9296 | + | 487.514i | 0.0565701 | + | 0.502074i | 0.989765 | + | 0.142704i | \(0.0455797\pi\) |
−0.933195 | + | 0.359370i | \(0.882992\pi\) | |||||||
\(972\) | 391.930 | − | 44.1600i | 0.403221 | − | 0.0454320i | ||||
\(973\) | 824.446 | + | 397.032i | 0.847324 | + | 0.408050i | ||||
\(974\) | 357.877 | − | 357.877i | 0.367430 | − | 0.367430i | ||||
\(975\) | −80.1995 | − | 229.197i | −0.0822559 | − | 0.235074i | ||||
\(976\) | −501.594 | − | 798.282i | −0.513928 | − | 0.817912i | ||||
\(977\) | 31.3582 | − | 15.1013i | 0.0320964 | − | 0.0154568i | −0.417767 | − | 0.908554i | \(-0.637187\pi\) |
0.449863 | + | 0.893098i | \(0.351473\pi\) | |||||||
\(978\) | −123.082 | + | 351.747i | −0.125850 | + | 0.359660i | ||||
\(979\) | 902.959 | − | 206.095i | 0.922328 | − | 0.210515i | ||||
\(980\) | −80.7605 | + | 101.270i | −0.0824086 | + | 0.103337i | ||||
\(981\) | 75.9148 | + | 95.1942i | 0.0773851 | + | 0.0970379i | ||||
\(982\) | 23.5922 | − | 103.364i | 0.0240246 | − | 0.105259i | ||||
\(983\) | −270.847 | + | 431.051i | −0.275531 | + | 0.438505i | −0.955610 | − | 0.294633i | \(-0.904802\pi\) |
0.680079 | + | 0.733139i | \(0.261945\pi\) | |||||||
\(984\) | 57.0289 | − | 506.145i | 0.0579562 | − | 0.514375i | ||||
\(985\) | 201.603i | 0.204673i | ||||||||
\(986\) | 1559.47 | + | 219.839i | 1.58161 | + | 0.222961i | ||||
\(987\) | −737.505 | −0.747218 | ||||||||
\(988\) | 324.900 | + | 36.6074i | 0.328846 | + | 0.0370520i | ||||
\(989\) | 1577.64 | + | 991.295i | 1.59518 | + | 1.00232i | ||||
\(990\) | 380.987 | + | 86.9577i | 0.384835 | + | 0.0878361i | ||||
\(991\) | 1171.15 | − | 933.958i | 1.18178 | − | 0.942440i | 0.182613 | − | 0.983185i | \(-0.441544\pi\) |
0.999170 | + | 0.0407444i | \(0.0129729\pi\) | |||||||
\(992\) | 394.508 | + | 314.609i | 0.397689 | + | 0.317146i | ||||
\(993\) | −153.377 | − | 671.990i | −0.154459 | − | 0.676727i | ||||
\(994\) | −384.553 | − | 134.561i | −0.386874 | − | 0.135373i | ||||
\(995\) | −62.1768 | − | 129.111i | −0.0624892 | − | 0.129760i | ||||
\(996\) | 254.433 | − | 159.871i | 0.255455 | − | 0.160513i | ||||
\(997\) | 1755.99 | − | 614.449i | 1.76128 | − | 0.616298i | 0.761776 | − | 0.647840i | \(-0.224328\pi\) |
0.999502 | + | 0.0315424i | \(0.0100419\pi\) | |||||||
\(998\) | 1200.48 | + | 1200.48i | 1.20288 | + | 1.20288i | ||||
\(999\) | −232.978 | + | 483.783i | −0.233211 | + | 0.484267i |
(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 | 29.3.f.a.2.4 | ✓ | 48 | |
3.2 | odd | 2 | 261.3.s.a.118.1 | 48 | |||
29.15 | odd | 28 | inner | 29.3.f.a.15.4 | yes | 48 | |
87.44 | even | 28 | 261.3.s.a.73.1 | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
29.3.f.a.2.4 | ✓ | 48 | 1.1 | even | 1 | trivial | |
29.3.f.a.15.4 | yes | 48 | 29.15 | odd | 28 | inner | |
261.3.s.a.73.1 | 48 | 87.44 | even | 28 | |||
261.3.s.a.118.1 | 48 | 3.2 | odd | 2 |