Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [775,2,Mod(43,775)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(775, base_ring=CyclotomicField(60))
chi = DirichletCharacter(H, H._module([45, 38]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("775.43");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 775 = 5^{2} \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 775.df (of order \(60\), degree \(16\), 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: | \(6.18840615665\) |
Analytic rank: | \(0\) |
Dimension: | \(224\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{60})\) |
Twist minimal: | no (minimal twist has level 155) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{60}]$ |
Embedding invariants
Embedding label | 668.7 | ||
Character | \(\chi\) | \(=\) | 775.668 |
Dual form | 775.2.df.b.507.7 |
$q$-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 \(\left(\mathbb{Z}/775\mathbb{Z}\right)^\times\).
\(n\) | \(251\) | \(652\) |
\(\chi(n)\) | \(e\left(\frac{7}{30}\right)\) | \(e\left(\frac{3}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.0322043 | − | 0.0632044i | −0.0227718 | − | 0.0446923i | 0.879340 | − | 0.476194i | \(-0.157984\pi\) |
−0.902112 | + | 0.431502i | \(0.857984\pi\) | |||||||
\(3\) | −0.0569594 | − | 1.08685i | −0.0328855 | − | 0.627493i | −0.964506 | − | 0.264061i | \(-0.914938\pi\) |
0.931621 | − | 0.363433i | \(-0.118395\pi\) | |||||||
\(4\) | 1.17261 | − | 1.61396i | 0.586306 | − | 0.806982i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | −0.0668594 | + | 0.0386013i | −0.0272952 | + | 0.0157589i | ||||
\(7\) | 1.97885 | + | 2.44368i | 0.747935 | + | 0.923622i | 0.999016 | − | 0.0443434i | \(-0.0141196\pi\) |
−0.251082 | + | 0.967966i | \(0.580786\pi\) | |||||||
\(8\) | −0.279898 | − | 0.0443315i | −0.0989589 | − | 0.0156735i | ||||
\(9\) | 1.80557 | − | 0.189773i | 0.601856 | − | 0.0632576i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 1.77665 | + | 3.99042i | 0.535680 | + | 1.20316i | 0.955349 | + | 0.295479i | \(0.0954794\pi\) |
−0.419669 | + | 0.907677i | \(0.637854\pi\) | |||||||
\(12\) | −1.82093 | − | 1.18252i | −0.525657 | − | 0.341365i | ||||
\(13\) | 3.27771 | − | 2.12857i | 0.909074 | − | 0.590360i | −0.00317504 | − | 0.999995i | \(-0.501011\pi\) |
0.912249 | + | 0.409635i | \(0.134344\pi\) | |||||||
\(14\) | 0.0907237 | − | 0.203769i | 0.0242469 | − | 0.0544595i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −1.22675 | − | 3.77554i | −0.306687 | − | 0.943884i | ||||
\(17\) | −0.623752 | − | 1.62493i | −0.151282 | − | 0.394104i | 0.836906 | − | 0.547346i | \(-0.184362\pi\) |
−0.988189 | + | 0.153242i | \(0.951028\pi\) | |||||||
\(18\) | −0.0701414 | − | 0.108008i | −0.0165325 | − | 0.0254578i | ||||
\(19\) | 1.46007 | + | 6.86910i | 0.334963 | + | 1.57588i | 0.747071 | + | 0.664744i | \(0.231459\pi\) |
−0.412108 | + | 0.911135i | \(0.635207\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 2.54320 | − | 2.28990i | 0.554971 | − | 0.499698i | ||||
\(22\) | 0.194996 | − | 0.240801i | 0.0415734 | − | 0.0513388i | ||||
\(23\) | −1.02696 | + | 6.48399i | −0.214137 | + | 1.35201i | 0.613034 | + | 0.790056i | \(0.289949\pi\) |
−0.827171 | + | 0.561950i | \(0.810051\pi\) | |||||||
\(24\) | −0.0322389 | + | 0.306732i | −0.00658073 | + | 0.0626115i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | −0.240092 | − | 0.138617i | −0.0470858 | − | 0.0271850i | ||||
\(27\) | −0.819861 | − | 5.17640i | −0.157782 | − | 0.996198i | ||||
\(28\) | 6.26443 | − | 0.328305i | 1.18387 | − | 0.0620437i | ||||
\(29\) | 0.255441 | − | 0.786167i | 0.0474342 | − | 0.145988i | −0.924534 | − | 0.381099i | \(-0.875546\pi\) |
0.971968 | + | 0.235112i | \(0.0755456\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −3.11543 | + | 4.61455i | −0.559549 | + | 0.828798i | ||||
\(32\) | −0.599894 | + | 0.599894i | −0.106047 | + | 0.106047i | ||||
\(33\) | 4.23579 | − | 2.15824i | 0.737357 | − | 0.375702i | ||||
\(34\) | −0.0826153 | + | 0.0917536i | −0.0141684 | + | 0.0157356i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 1.81094 | − | 3.13665i | 0.301824 | − | 0.522775i | ||||
\(37\) | 0.291921 | − | 1.08947i | 0.0479916 | − | 0.179107i | −0.937770 | − | 0.347258i | \(-0.887113\pi\) |
0.985761 | + | 0.168151i | \(0.0537796\pi\) | |||||||
\(38\) | 0.387137 | − | 0.313497i | 0.0628019 | − | 0.0508559i | ||||
\(39\) | −2.50014 | − | 3.44114i | −0.400342 | − | 0.551024i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −6.74839 | − | 7.49485i | −1.05392 | − | 1.17050i | −0.984943 | − | 0.172880i | \(-0.944693\pi\) |
−0.0689785 | − | 0.997618i | \(-0.521974\pi\) | |||||||
\(42\) | −0.226634 | − | 0.0869965i | −0.0349703 | − | 0.0134239i | ||||
\(43\) | 5.01711 | − | 7.72567i | 0.765102 | − | 1.17815i | −0.214405 | − | 0.976745i | \(-0.568781\pi\) |
0.979507 | − | 0.201409i | \(-0.0645521\pi\) | |||||||
\(44\) | 8.52371 | + | 1.81177i | 1.28500 | + | 0.273135i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0.442890 | − | 0.143904i | 0.0653005 | − | 0.0212174i | ||||
\(47\) | −9.30187 | − | 4.73954i | −1.35682 | − | 0.691333i | −0.384092 | − | 0.923295i | \(-0.625485\pi\) |
−0.972725 | + | 0.231962i | \(0.925485\pi\) | |||||||
\(48\) | −4.03357 | + | 1.54834i | −0.582195 | + | 0.223484i | ||||
\(49\) | −0.600323 | + | 2.82430i | −0.0857604 | + | 0.403471i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −1.73053 | + | 0.770481i | −0.242322 | + | 0.107889i | ||||
\(52\) | 0.408052 | − | 7.78610i | 0.0565867 | − | 1.07974i | ||||
\(53\) | −4.58094 | − | 3.70958i | −0.629241 | − | 0.509549i | 0.260822 | − | 0.965387i | \(-0.416006\pi\) |
−0.890063 | + | 0.455838i | \(0.849340\pi\) | |||||||
\(54\) | −0.300768 | + | 0.218521i | −0.0409294 | + | 0.0297369i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −0.445544 | − | 0.771705i | −0.0595383 | − | 0.103123i | ||||
\(57\) | 7.38251 | − | 1.97814i | 0.977838 | − | 0.262011i | ||||
\(58\) | −0.0579155 | + | 0.00917292i | −0.00760468 | + | 0.00120446i | ||||
\(59\) | 0.435631 | + | 0.392244i | 0.0567143 | + | 0.0510658i | 0.697000 | − | 0.717071i | \(-0.254518\pi\) |
−0.640286 | + | 0.768136i | \(0.721184\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | − | 9.21086i | − | 1.17933i | −0.807648 | − | 0.589665i | \(-0.799260\pi\) | ||
0.807648 | − | 0.589665i | \(-0.200740\pi\) | |||||||
\(62\) | 0.391990 | + | 0.0483010i | 0.0497828 | + | 0.00613424i | ||||
\(63\) | 4.03669 | + | 4.03669i | 0.508575 | + | 0.508575i | ||||
\(64\) | −7.49384 | − | 2.43490i | −0.936730 | − | 0.304362i | ||||
\(65\) | 0 | 0 | ||||||||
\(66\) | −0.272821 | − | 0.198216i | −0.0335819 | − | 0.0243987i | ||||
\(67\) | 1.70835 | + | 6.37563i | 0.208708 | + | 0.778908i | 0.988287 | + | 0.152605i | \(0.0487661\pi\) |
−0.779580 | + | 0.626303i | \(0.784567\pi\) | |||||||
\(68\) | −3.35400 | − | 0.898701i | −0.406732 | − | 0.108984i | ||||
\(69\) | 7.10563 | + | 0.746831i | 0.855417 | + | 0.0899079i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 0.191176 | + | 1.81892i | 0.0226885 | + | 0.215866i | 0.999992 | + | 0.00402205i | \(0.00128026\pi\) |
−0.977303 | + | 0.211844i | \(0.932053\pi\) | |||||||
\(72\) | −0.513787 | − | 0.0269265i | −0.0605504 | − | 0.00317331i | ||||
\(73\) | −0.0491467 | + | 0.128032i | −0.00575219 | + | 0.0149850i | −0.936426 | − | 0.350864i | \(-0.885888\pi\) |
0.930674 | + | 0.365849i | \(0.119221\pi\) | |||||||
\(74\) | −0.0782601 | + | 0.0166347i | −0.00909755 | + | 0.00193374i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 12.7986 | + | 5.69829i | 1.46810 | + | 0.653639i | ||||
\(77\) | −6.23557 | + | 12.2380i | −0.710609 | + | 1.39465i | ||||
\(78\) | −0.136980 | + | 0.268839i | −0.0155100 | + | 0.0304400i | ||||
\(79\) | −9.87826 | − | 4.39808i | −1.11139 | − | 0.494823i | −0.232861 | − | 0.972510i | \(-0.574809\pi\) |
−0.878530 | + | 0.477687i | \(0.841475\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −0.251755 | + | 0.0535122i | −0.0279728 | + | 0.00594580i | ||||
\(82\) | −0.256380 | + | 0.667894i | −0.0283125 | + | 0.0737565i | ||||
\(83\) | 2.79788 | + | 0.146631i | 0.307107 | + | 0.0160948i | 0.205267 | − | 0.978706i | \(-0.434194\pi\) |
0.101840 | + | 0.994801i | \(0.467527\pi\) | |||||||
\(84\) | −0.713636 | − | 6.78979i | −0.0778641 | − | 0.740827i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | −0.649869 | − | 0.0683040i | −0.0700772 | − | 0.00736541i | ||||
\(87\) | −0.868996 | − | 0.232847i | −0.0931661 | − | 0.0249638i | ||||
\(88\) | −0.320379 | − | 1.19567i | −0.0341525 | − | 0.127459i | ||||
\(89\) | 4.24416 | + | 3.08356i | 0.449880 | + | 0.326857i | 0.789548 | − | 0.613688i | \(-0.210315\pi\) |
−0.339668 | + | 0.940545i | \(0.610315\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 11.6876 | + | 3.79755i | 1.22520 | + | 0.398091i | ||||
\(92\) | 9.26070 | + | 9.26070i | 0.965494 | + | 0.965494i | ||||
\(93\) | 5.19278 | + | 3.12317i | 0.538466 | + | 0.323857i | ||||
\(94\) | 0.740552i | 0.0763821i | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 0.686164 | + | 0.617825i | 0.0700313 | + | 0.0630565i | ||||
\(97\) | −7.51144 | + | 1.18969i | −0.762671 | + | 0.120795i | −0.525640 | − | 0.850707i | \(-0.676174\pi\) |
−0.237031 | + | 0.971502i | \(0.576174\pi\) | |||||||
\(98\) | 0.197841 | − | 0.0530113i | 0.0199850 | − | 0.00535495i | ||||
\(99\) | 3.96513 | + | 6.86781i | 0.398511 | + | 0.690241i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −6.91369 | + | 5.02309i | −0.687938 | + | 0.499816i | −0.875982 | − | 0.482344i | \(-0.839785\pi\) |
0.188044 | + | 0.982161i | \(0.439785\pi\) | |||||||
\(102\) | 0.104428 | + | 0.0845642i | 0.0103399 | + | 0.00837311i | ||||
\(103\) | 0.441485 | − | 8.42403i | 0.0435008 | − | 0.830044i | −0.886554 | − | 0.462624i | \(-0.846908\pi\) |
0.930055 | − | 0.367420i | \(-0.119759\pi\) | |||||||
\(104\) | −1.01179 | + | 0.450477i | −0.0992140 | + | 0.0441729i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −0.0869356 | + | 0.409000i | −0.00844394 | + | 0.0397256i | ||||
\(107\) | −11.1064 | + | 4.26334i | −1.07369 | + | 0.412153i | −0.830037 | − | 0.557709i | \(-0.811681\pi\) |
−0.243658 | + | 0.969861i | \(0.578347\pi\) | |||||||
\(108\) | −9.31590 | − | 4.74669i | −0.896423 | − | 0.456750i | ||||
\(109\) | 1.90205 | − | 0.618012i | 0.182183 | − | 0.0591948i | −0.216505 | − | 0.976282i | \(-0.569466\pi\) |
0.398688 | + | 0.917087i | \(0.369466\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −1.20071 | − | 0.255219i | −0.113967 | − | 0.0242244i | ||||
\(112\) | 6.79864 | − | 10.4690i | 0.642411 | − | 0.989226i | ||||
\(113\) | −4.22215 | − | 1.62073i | −0.397186 | − | 0.152465i | 0.151573 | − | 0.988446i | \(-0.451566\pi\) |
−0.548759 | + | 0.835981i | \(0.684900\pi\) | |||||||
\(114\) | −0.362775 | − | 0.402903i | −0.0339770 | − | 0.0377353i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | −0.969311 | − | 1.33414i | −0.0899983 | − | 0.123872i | ||||
\(117\) | 5.51419 | − | 4.46530i | 0.509787 | − | 0.412817i | ||||
\(118\) | 0.0107624 | − | 0.0401657i | 0.000990756 | − | 0.00369755i | ||||
\(119\) | 2.73649 | − | 4.73974i | 0.250854 | − | 0.434491i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −5.40652 | + | 6.00455i | −0.491502 | + | 0.545869i | ||||
\(122\) | −0.582167 | + | 0.296629i | −0.0527069 | + | 0.0268555i | ||||
\(123\) | −7.76139 | + | 7.76139i | −0.699821 | + | 0.699821i | ||||
\(124\) | 3.79451 | + | 10.4393i | 0.340757 | + | 0.937475i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | 0.125138 | − | 0.385135i | 0.0111482 | − | 0.0343105i | ||||
\(127\) | 11.3096 | − | 0.592711i | 1.00356 | − | 0.0525946i | 0.456533 | − | 0.889706i | \(-0.349091\pi\) |
0.547032 | + | 0.837112i | \(0.315758\pi\) | |||||||
\(128\) | 0.352868 | + | 2.22792i | 0.0311895 | + | 0.196922i | ||||
\(129\) | −8.68242 | − | 5.01280i | −0.764444 | − | 0.441352i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −0.368745 | + | 3.50838i | −0.0322174 | + | 0.306528i | 0.966533 | + | 0.256544i | \(0.0825838\pi\) |
−0.998750 | + | 0.0499844i | \(0.984083\pi\) | |||||||
\(132\) | 1.48362 | − | 9.36719i | 0.129132 | − | 0.815310i | ||||
\(133\) | −13.8966 | + | 17.1608i | −1.20499 | + | 1.48803i | ||||
\(134\) | 0.347952 | − | 0.313298i | 0.0300585 | − | 0.0270648i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 0.102551 | + | 0.482467i | 0.00879372 | + | 0.0413712i | ||||
\(137\) | 11.0095 | + | 16.9532i | 0.940606 | + | 1.44841i | 0.893267 | + | 0.449527i | \(0.148408\pi\) |
0.0473395 | + | 0.998879i | \(0.484926\pi\) | |||||||
\(138\) | −0.181628 | − | 0.473158i | −0.0154612 | − | 0.0402779i | ||||
\(139\) | −1.60733 | − | 4.94685i | −0.136332 | − | 0.419586i | 0.859463 | − | 0.511198i | \(-0.170798\pi\) |
−0.995795 | + | 0.0916117i | \(0.970798\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −4.62134 | + | 10.3797i | −0.389187 | + | 0.874128i | ||||
\(142\) | 0.108807 | − | 0.0706602i | 0.00913089 | − | 0.00592967i | ||||
\(143\) | 14.3172 | + | 9.29773i | 1.19727 | + | 0.777515i | ||||
\(144\) | −2.93147 | − | 6.58418i | −0.244289 | − | 0.548682i | ||||
\(145\) | 0 | 0 | ||||||||
\(146\) | 0.00967490 | − | 0.00101687i | 0.000800700 | − | 8.41570e-5i | ||||
\(147\) | 3.10378 | + | 0.491591i | 0.255996 | + | 0.0405457i | ||||
\(148\) | −1.41605 | − | 1.74867i | −0.116398 | − | 0.143740i | ||||
\(149\) | −2.31939 | + | 1.33910i | −0.190012 | + | 0.109703i | −0.591988 | − | 0.805947i | \(-0.701657\pi\) |
0.401976 | + | 0.915650i | \(0.368323\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 2.99962 | − | 4.12862i | 0.244105 | − | 0.335982i | −0.669331 | − | 0.742965i | \(-0.733419\pi\) |
0.913436 | + | 0.406983i | \(0.133419\pi\) | |||||||
\(152\) | −0.104154 | − | 1.98737i | −0.00844799 | − | 0.161197i | ||||
\(153\) | −1.43459 | − | 2.81555i | −0.115980 | − | 0.227624i | ||||
\(154\) | 0.974307 | 0.0785119 | ||||||||
\(155\) | 0 | 0 | ||||||||
\(156\) | −8.48557 | −0.679389 | ||||||||
\(157\) | 9.14360 | + | 17.9453i | 0.729739 | + | 1.43219i | 0.895057 | + | 0.445952i | \(0.147135\pi\) |
−0.165318 | + | 0.986240i | \(0.552865\pi\) | |||||||
\(158\) | 0.0401437 | + | 0.765987i | 0.00319366 | + | 0.0609386i | ||||
\(159\) | −3.77083 | + | 5.19010i | −0.299046 | + | 0.411601i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −17.8770 | + | 10.3213i | −1.40890 | + | 0.813431i | ||||
\(162\) | 0.0114898 | + | 0.0141887i | 0.000902723 | + | 0.00111477i | ||||
\(163\) | −2.24915 | − | 0.356231i | −0.176167 | − | 0.0279022i | 0.0677274 | − | 0.997704i | \(-0.478425\pi\) |
−0.243895 | + | 0.969802i | \(0.578425\pi\) | |||||||
\(164\) | −20.0097 | + | 2.10310i | −1.56249 | + | 0.164224i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −0.0808359 | − | 0.181560i | −0.00627408 | − | 0.0140918i | ||||
\(167\) | −10.2865 | − | 6.68015i | −0.795996 | − | 0.516926i | 0.0814066 | − | 0.996681i | \(-0.474059\pi\) |
−0.877402 | + | 0.479755i | \(0.840725\pi\) | |||||||
\(168\) | −0.813350 | + | 0.528196i | −0.0627513 | + | 0.0407512i | ||||
\(169\) | 0.925014 | − | 2.07762i | 0.0711549 | − | 0.159817i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 3.93982 | + | 12.1255i | 0.301286 | + | 0.927262i | ||||
\(172\) | −6.58582 | − | 17.1567i | −0.502164 | − | 1.30818i | ||||
\(173\) | 2.45795 | + | 3.78491i | 0.186875 | + | 0.287762i | 0.919674 | − | 0.392683i | \(-0.128453\pi\) |
−0.732799 | + | 0.680445i | \(0.761787\pi\) | |||||||
\(174\) | 0.0132684 | + | 0.0624230i | 0.00100588 | + | 0.00473228i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 12.8865 | − | 11.6030i | 0.971355 | − | 0.874612i | ||||
\(177\) | 0.401497 | − | 0.495807i | 0.0301784 | − | 0.0372672i | ||||
\(178\) | 0.0582147 | − | 0.367553i | 0.00436338 | − | 0.0275493i | ||||
\(179\) | 1.07512 | − | 10.2291i | 0.0803582 | − | 0.764557i | −0.877937 | − | 0.478776i | \(-0.841081\pi\) |
0.958295 | − | 0.285781i | \(-0.0922528\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −19.0168 | − | 10.9793i | −1.41351 | − | 0.816088i | −0.417789 | − | 0.908544i | \(-0.637195\pi\) |
−0.995717 | + | 0.0924557i | \(0.970528\pi\) | |||||||
\(182\) | −0.136370 | − | 0.861008i | −0.0101084 | − | 0.0638221i | ||||
\(183\) | −10.0108 | + | 0.524645i | −0.740022 | + | 0.0387829i | ||||
\(184\) | 0.574890 | − | 1.76933i | 0.0423815 | − | 0.130437i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | 0.0301685 | − | 0.428786i | 0.00221206 | − | 0.0314401i | ||||
\(187\) | 5.37597 | − | 5.37597i | 0.393130 | − | 0.393130i | ||||
\(188\) | −18.5569 | + | 9.45523i | −1.35340 | + | 0.689593i | ||||
\(189\) | 11.0271 | − | 12.2468i | 0.802100 | − | 0.890823i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 8.38581 | − | 14.5246i | 0.606776 | − | 1.05097i | −0.384992 | − | 0.922920i | \(-0.625796\pi\) |
0.991768 | − | 0.128047i | \(-0.0408707\pi\) | |||||||
\(192\) | −2.21952 | + | 8.28337i | −0.160180 | + | 0.597801i | ||||
\(193\) | −7.75743 | + | 6.28185i | −0.558392 | + | 0.452177i | −0.866502 | − | 0.499174i | \(-0.833637\pi\) |
0.308110 | + | 0.951351i | \(0.400304\pi\) | |||||||
\(194\) | 0.317094 | + | 0.436443i | 0.0227660 | + | 0.0313348i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 3.85437 | + | 4.28071i | 0.275312 | + | 0.305765i | ||||
\(197\) | −4.75155 | − | 1.82395i | −0.338534 | − | 0.129951i | 0.183161 | − | 0.983083i | \(-0.441367\pi\) |
−0.521695 | + | 0.853132i | \(0.674700\pi\) | |||||||
\(198\) | 0.306382 | − | 0.471786i | 0.0217736 | − | 0.0335284i | ||||
\(199\) | 6.18725 | + | 1.31514i | 0.438602 | + | 0.0932278i | 0.421920 | − | 0.906633i | \(-0.361356\pi\) |
0.0166822 | + | 0.999861i | \(0.494690\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 6.83205 | − | 2.21987i | 0.481896 | − | 0.156577i | ||||
\(202\) | 0.540132 | + | 0.275211i | 0.0380035 | + | 0.0193638i | ||||
\(203\) | 2.42662 | − | 0.931491i | 0.170315 | − | 0.0653779i | ||||
\(204\) | −0.785712 | + | 3.69648i | −0.0550108 | + | 0.258806i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | −0.546653 | + | 0.243386i | −0.0380872 | + | 0.0169575i | ||||
\(207\) | −0.623766 | + | 11.9022i | −0.0433548 | + | 0.827258i | ||||
\(208\) | −12.0574 | − | 9.76391i | −0.836032 | − | 0.677005i | ||||
\(209\) | −24.8165 | + | 18.0303i | −1.71660 | + | 1.24718i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 1.17473 | + | 2.03470i | 0.0808719 | + | 0.140074i | 0.903625 | − | 0.428325i | \(-0.140896\pi\) |
−0.822753 | + | 0.568399i | \(0.807563\pi\) | |||||||
\(212\) | −11.3588 | + | 3.04358i | −0.780125 | + | 0.209034i | ||||
\(213\) | 1.96601 | − | 0.311385i | 0.134708 | − | 0.0213357i | ||||
\(214\) | 0.627135 | + | 0.564675i | 0.0428701 | + | 0.0386004i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | 1.48521i | 0.101056i | ||||||||
\(217\) | −17.4414 | + | 1.51839i | −1.18400 | + | 0.103075i | ||||
\(218\) | −0.100315 | − | 0.100315i | −0.00679419 | − | 0.00679419i | ||||
\(219\) | 0.141951 | + | 0.0461225i | 0.00959213 | + | 0.00311667i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −5.50327 | − | 3.99836i | −0.370190 | − | 0.268959i | ||||
\(222\) | 0.0225371 | + | 0.0841095i | 0.00151259 | + | 0.00564506i | ||||
\(223\) | 13.8894 | + | 3.72164i | 0.930100 | + | 0.249220i | 0.691897 | − | 0.721996i | \(-0.256775\pi\) |
0.238203 | + | 0.971215i | \(0.423442\pi\) | |||||||
\(224\) | −2.65304 | − | 0.278846i | −0.177264 | − | 0.0186312i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 0.0335338 | + | 0.319053i | 0.00223063 | + | 0.0212231i | ||||
\(227\) | −15.6647 | − | 0.820953i | −1.03970 | − | 0.0544886i | −0.475166 | − | 0.879896i | \(-0.657612\pi\) |
−0.564538 | + | 0.825407i | \(0.690945\pi\) | |||||||
\(228\) | 5.46419 | − | 14.2347i | 0.361875 | − | 0.942716i | ||||
\(229\) | 2.87355 | − | 0.610792i | 0.189890 | − | 0.0403623i | −0.111985 | − | 0.993710i | \(-0.535721\pi\) |
0.301875 | + | 0.953348i | \(0.402388\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 13.6560 | + | 6.08006i | 0.898501 | + | 0.400039i | ||||
\(232\) | −0.106349 | + | 0.208723i | −0.00698218 | + | 0.0137033i | ||||
\(233\) | 2.07455 | − | 4.07154i | 0.135908 | − | 0.266735i | −0.813014 | − | 0.582244i | \(-0.802175\pi\) |
0.948923 | + | 0.315508i | \(0.102175\pi\) | |||||||
\(234\) | −0.459807 | − | 0.204719i | −0.0300585 | − | 0.0133829i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 1.14389 | − | 0.243142i | 0.0744611 | − | 0.0158272i | ||||
\(237\) | −4.21740 | + | 10.9867i | −0.273950 | + | 0.713663i | ||||
\(238\) | −0.387699 | − | 0.0203185i | −0.0251308 | − | 0.00131705i | ||||
\(239\) | 0.653633 | + | 6.21891i | 0.0422800 | + | 0.402268i | 0.995111 | + | 0.0987654i | \(0.0314893\pi\) |
−0.952831 | + | 0.303502i | \(0.901844\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 21.8619 | + | 2.29778i | 1.40825 | + | 0.148013i | 0.777943 | − | 0.628335i | \(-0.216263\pi\) |
0.630305 | + | 0.776348i | \(0.282930\pi\) | |||||||
\(242\) | 0.553627 | + | 0.148344i | 0.0355885 | + | 0.00953591i | ||||
\(243\) | −3.99685 | − | 14.9165i | −0.256398 | − | 0.956891i | ||||
\(244\) | −14.8660 | − | 10.8008i | −0.951697 | − | 0.691449i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 0.740504 | + | 0.240604i | 0.0472128 | + | 0.0153404i | ||||
\(247\) | 19.4071 | + | 19.4071i | 1.23484 | + | 1.23484i | ||||
\(248\) | 1.07657 | − | 1.15349i | 0.0683625 | − | 0.0732468i | ||||
\(249\) | − | 3.04923i | − | 0.193237i | ||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −8.29972 | − | 7.47310i | −0.523873 | − | 0.471698i | 0.364251 | − | 0.931301i | \(-0.381325\pi\) |
−0.888124 | + | 0.459603i | \(0.847992\pi\) | |||||||
\(252\) | 11.2485 | − | 1.78159i | 0.708591 | − | 0.112230i | ||||
\(253\) | −27.6984 | + | 7.42177i | −1.74138 | + | 0.466602i | ||||
\(254\) | −0.401679 | − | 0.695729i | −0.0252036 | − | 0.0436539i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −12.6198 | + | 9.16884i | −0.788739 | + | 0.573053i | ||||
\(257\) | 13.4951 | + | 10.9282i | 0.841804 | + | 0.681679i | 0.949932 | − | 0.312458i | \(-0.101152\pi\) |
−0.108128 | + | 0.994137i | \(0.534486\pi\) | |||||||
\(258\) | −0.0372200 | + | 0.710201i | −0.00231722 | + | 0.0442152i | ||||
\(259\) | 3.23997 | − | 1.44253i | 0.201322 | − | 0.0896342i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 0.312023 | − | 1.46795i | 0.0193137 | − | 0.0908640i | ||||
\(262\) | 0.233620 | − | 0.0896784i | 0.0144331 | − | 0.00554035i | ||||
\(263\) | 22.6855 | + | 11.5588i | 1.39885 | + | 0.712749i | 0.980680 | − | 0.195621i | \(-0.0626722\pi\) |
0.418168 | + | 0.908370i | \(0.362672\pi\) | |||||||
\(264\) | −1.28127 | + | 0.416309i | −0.0788566 | + | 0.0256220i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | 1.53217 | + | 0.325673i | 0.0939434 | + | 0.0199683i | ||||
\(267\) | 3.10963 | − | 4.78840i | 0.190306 | − | 0.293045i | ||||
\(268\) | 12.2933 | + | 4.71894i | 0.750931 | + | 0.288255i | ||||
\(269\) | 5.25465 | + | 5.83588i | 0.320382 | + | 0.355820i | 0.881726 | − | 0.471763i | \(-0.156382\pi\) |
−0.561344 | + | 0.827583i | \(0.689715\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −6.45006 | − | 8.87774i | −0.391813 | − | 0.539285i | 0.566853 | − | 0.823819i | \(-0.308161\pi\) |
−0.958666 | + | 0.284535i | \(0.908161\pi\) | |||||||
\(272\) | −5.36980 | + | 4.34838i | −0.325592 | + | 0.263659i | ||||
\(273\) | 3.46164 | − | 12.9190i | 0.209508 | − | 0.781895i | ||||
\(274\) | 0.716961 | − | 1.24181i | 0.0433132 | − | 0.0750207i | ||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 9.53751 | − | 10.5925i | 0.574090 | − | 0.637592i | ||||
\(277\) | −6.95592 | + | 3.54422i | −0.417941 | + | 0.212951i | −0.650298 | − | 0.759679i | \(-0.725356\pi\) |
0.232358 | + | 0.972630i | \(0.425356\pi\) | |||||||
\(278\) | −0.260900 | + | 0.260900i | −0.0156477 | + | 0.0156477i | ||||
\(279\) | −4.74941 | + | 8.92310i | −0.284340 | + | 0.534212i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −2.64976 | + | 8.15512i | −0.158071 | + | 0.486494i | −0.998459 | − | 0.0554920i | \(-0.982327\pi\) |
0.840388 | + | 0.541986i | \(0.182327\pi\) | |||||||
\(282\) | 0.804870 | − | 0.0421814i | 0.0479293 | − | 0.00251187i | ||||
\(283\) | 2.42354 | + | 15.3017i | 0.144065 | + | 0.909589i | 0.948782 | + | 0.315931i | \(0.102317\pi\) |
−0.804717 | + | 0.593658i | \(0.797683\pi\) | |||||||
\(284\) | 3.15985 | + | 1.82434i | 0.187502 | + | 0.108255i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0.126581 | − | 1.20434i | 0.00748490 | − | 0.0712141i | ||||
\(287\) | 4.96092 | − | 31.3220i | 0.292834 | − | 1.84888i | ||||
\(288\) | −0.969305 | + | 1.19699i | −0.0571168 | + | 0.0705334i | ||||
\(289\) | 10.3821 | − | 9.34811i | 0.610713 | − | 0.549889i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 1.72087 | + | 8.09604i | 0.100879 | + | 0.474598i | ||||
\(292\) | 0.149008 | + | 0.229453i | 0.00872005 | + | 0.0134277i | ||||
\(293\) | −9.06430 | − | 23.6133i | −0.529542 | − | 1.37950i | −0.893909 | − | 0.448248i | \(-0.852048\pi\) |
0.364367 | − | 0.931255i | \(-0.381285\pi\) | |||||||
\(294\) | −0.0688843 | − | 0.212004i | −0.00401741 | − | 0.0123643i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | −0.130006 | + | 0.291998i | −0.00755643 | + | 0.0169720i | ||||
\(297\) | 19.1994 | − | 12.4682i | 1.11406 | − | 0.723480i | ||||
\(298\) | 0.159331 | + | 0.103471i | 0.00922982 | + | 0.00599392i | ||||
\(299\) | 10.4356 | + | 23.4386i | 0.603504 | + | 1.35549i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 28.8071 | − | 3.02775i | 1.66042 | − | 0.174517i | ||||
\(302\) | −0.357547 | − | 0.0566299i | −0.0205745 | − | 0.00325869i | ||||
\(303\) | 5.85315 | + | 7.22804i | 0.336255 | + | 0.415240i | ||||
\(304\) | 24.1434 | − | 13.9392i | 1.38472 | − | 0.799467i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | −0.131755 | + | 0.181345i | −0.00753194 | + | 0.0103668i | ||||
\(307\) | −0.627633 | − | 11.9760i | −0.0358209 | − | 0.683504i | −0.956242 | − | 0.292576i | \(-0.905488\pi\) |
0.920421 | − | 0.390928i | \(-0.127846\pi\) | |||||||
\(308\) | 12.4398 | + | 24.4144i | 0.708821 | + | 1.39114i | ||||
\(309\) | −9.18080 | −0.522278 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −12.9477 | −0.734199 | −0.367099 | − | 0.930182i | \(-0.619649\pi\) | ||||
−0.367099 | + | 0.930182i | \(0.619649\pi\) | |||||||
\(312\) | 0.547232 | + | 1.07400i | 0.0309809 | + | 0.0608035i | ||||
\(313\) | −1.75047 | − | 33.4009i | −0.0989424 | − | 1.88793i | −0.375336 | − | 0.926889i | \(-0.622473\pi\) |
0.276394 | − | 0.961044i | \(-0.410861\pi\) | |||||||
\(314\) | 0.839761 | − | 1.15583i | 0.0473904 | − | 0.0652274i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −18.6817 | + | 10.7859i | −1.05093 | + | 0.606754i | ||||
\(317\) | −7.58334 | − | 9.36464i | −0.425923 | − | 0.525971i | 0.518335 | − | 0.855178i | \(-0.326552\pi\) |
−0.944258 | + | 0.329207i | \(0.893219\pi\) | |||||||
\(318\) | 0.449474 | + | 0.0711896i | 0.0252052 | + | 0.00399212i | ||||
\(319\) | 3.59097 | − | 0.377426i | 0.201055 | − | 0.0211318i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 5.26623 | + | 11.8281i | 0.293932 | + | 0.660182i | ||||
\(322\) | 1.22807 | + | 0.797515i | 0.0684374 | + | 0.0444438i | ||||
\(323\) | 10.2511 | − | 6.65713i | 0.570385 | − | 0.370413i | ||||
\(324\) | −0.208844 | + | 0.469072i | −0.0116025 | + | 0.0260596i | ||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 0.0499170 | + | 0.153629i | 0.00276465 | + | 0.00850870i | ||||
\(327\) | −0.780026 | − | 2.03204i | −0.0431355 | − | 0.112372i | ||||
\(328\) | 1.55660 | + | 2.39696i | 0.0859490 | + | 0.132350i | ||||
\(329\) | −6.82510 | − | 32.1096i | −0.376280 | − | 1.77026i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −4.13010 | + | 3.71876i | −0.227011 | + | 0.204402i | −0.774785 | − | 0.632225i | \(-0.782142\pi\) |
0.547774 | + | 0.836626i | \(0.315475\pi\) | |||||||
\(332\) | 3.51748 | − | 4.34373i | 0.193047 | − | 0.238393i | ||||
\(333\) | 0.320333 | − | 2.02250i | 0.0175541 | − | 0.110832i | ||||
\(334\) | −0.0909450 | + | 0.865283i | −0.00497629 | + | 0.0473462i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | −11.7655 | − | 6.79280i | −0.641859 | − | 0.370577i | ||||
\(337\) | −0.506327 | − | 3.19682i | −0.0275814 | − | 0.174142i | 0.970052 | − | 0.242896i | \(-0.0780975\pi\) |
−0.997634 | + | 0.0687544i | \(0.978098\pi\) | |||||||
\(338\) | −0.161104 | + | 0.00844309i | −0.00876289 | + | 0.000459244i | ||||
\(339\) | −1.52100 | + | 4.68116i | −0.0826094 | + | 0.254246i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −23.9490 | − | 4.23345i | −1.29691 | − | 0.229254i | ||||
\(342\) | 0.639508 | − | 0.639508i | 0.0345806 | − | 0.0345806i | ||||
\(343\) | 11.5223 | − | 5.87090i | 0.622145 | − | 0.316999i | ||||
\(344\) | −1.74677 | + | 1.93998i | −0.0941795 | + | 0.104597i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 0.160067 | − | 0.277244i | 0.00860524 | − | 0.0149047i | ||||
\(347\) | −3.81647 | + | 14.2433i | −0.204879 | + | 0.764618i | 0.784608 | + | 0.619993i | \(0.212864\pi\) |
−0.989486 | + | 0.144626i | \(0.953802\pi\) | |||||||
\(348\) | −1.39480 | + | 1.12949i | −0.0747692 | + | 0.0605469i | ||||
\(349\) | 18.9330 | + | 26.0590i | 1.01346 | + | 1.39491i | 0.916689 | + | 0.399601i | \(0.130851\pi\) |
0.0967705 | + | 0.995307i | \(0.469149\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −13.7056 | − | 15.2216i | −0.731551 | − | 0.812470i | ||||
\(352\) | −3.45963 | − | 1.32803i | −0.184399 | − | 0.0707841i | ||||
\(353\) | −4.26423 | + | 6.56633i | −0.226962 | + | 0.349491i | −0.933745 | − | 0.357940i | \(-0.883479\pi\) |
0.706783 | + | 0.707431i | \(0.250146\pi\) | |||||||
\(354\) | −0.0442671 | − | 0.00940927i | −0.00235277 | − | 0.000500097i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | 9.95351 | − | 3.23409i | 0.527535 | − | 0.171407i | ||||
\(357\) | −5.30726 | − | 2.70418i | −0.280890 | − | 0.143121i | ||||
\(358\) | −0.681146 | + | 0.261467i | −0.0359997 | + | 0.0138190i | ||||
\(359\) | −3.43650 | + | 16.1675i | −0.181371 | + | 0.853286i | 0.789512 | + | 0.613735i | \(0.210334\pi\) |
−0.970884 | + | 0.239551i | \(0.923000\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −27.6953 | + | 12.3307i | −1.45765 | + | 0.648987i | ||||
\(362\) | −0.0815217 | + | 1.55553i | −0.00428468 | + | 0.0817566i | ||||
\(363\) | 6.83400 | + | 5.53407i | 0.358692 | + | 0.290463i | ||||
\(364\) | 19.8342 | − | 14.4104i | 1.03959 | − | 0.755309i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | 0.355551 | + | 0.615833i | 0.0185850 | + | 0.0321901i | ||||
\(367\) | −2.68949 | + | 0.720646i | −0.140390 | + | 0.0376174i | −0.328330 | − | 0.944563i | \(-0.606486\pi\) |
0.187940 | + | 0.982181i | \(0.439819\pi\) | |||||||
\(368\) | 25.7404 | − | 4.07688i | 1.34181 | − | 0.212522i | ||||
\(369\) | −13.6070 | − | 12.2518i | −0.708351 | − | 0.637802i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | − | 18.5350i | − | 0.962291i | ||||||
\(372\) | 11.1298 | − | 4.71868i | 0.577053 | − | 0.244652i | ||||
\(373\) | 0.754454 | + | 0.754454i | 0.0390641 | + | 0.0390641i | 0.726369 | − | 0.687305i | \(-0.241206\pi\) |
−0.687305 | + | 0.726369i | \(0.741206\pi\) | |||||||
\(374\) | −0.512914 | − | 0.166656i | −0.0265221 | − | 0.00861756i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 2.39346 | + | 1.73895i | 0.123433 | + | 0.0896796i | ||||
\(377\) | −0.836151 | − | 3.12056i | −0.0430640 | − | 0.160717i | ||||
\(378\) | −1.12917 | − | 0.302560i | −0.0580782 | − | 0.0155620i | ||||
\(379\) | −0.0287978 | − | 0.00302677i | −0.00147924 | − | 0.000155475i | 0.103789 | − | 0.994599i | \(-0.466903\pi\) |
−0.105268 | + | 0.994444i | \(0.533570\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −1.28838 | − | 12.2581i | −0.0660055 | − | 0.628001i | ||||
\(382\) | −1.18808 | − | 0.0622647i | −0.0607875 | − | 0.00318574i | ||||
\(383\) | 8.53091 | − | 22.2238i | 0.435909 | − | 1.13558i | −0.523116 | − | 0.852262i | \(-0.675230\pi\) |
0.959025 | − | 0.283321i | \(-0.0914362\pi\) | |||||||
\(384\) | 2.40132 | − | 0.510416i | 0.122542 | − | 0.0260471i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 0.646863 | + | 0.288002i | 0.0329244 | + | 0.0146589i | ||||
\(387\) | 7.59260 | − | 14.9013i | 0.385954 | − | 0.757477i | ||||
\(388\) | −6.88788 | + | 13.5182i | −0.349679 | + | 0.686284i | ||||
\(389\) | 14.1713 | + | 6.30947i | 0.718514 | + | 0.319903i | 0.733222 | − | 0.679989i | \(-0.238015\pi\) |
−0.0147088 | + | 0.999892i | \(0.504682\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 11.1766 | − | 2.37566i | 0.565226 | − | 0.120142i | ||||
\(392\) | 0.293235 | − | 0.763902i | 0.0148106 | − | 0.0385829i | ||||
\(393\) | 3.83408 | + | 0.200936i | 0.193404 | + | 0.0101359i | ||||
\(394\) | 0.0377385 | + | 0.359058i | 0.00190124 | + | 0.0180891i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | 15.7340 | + | 1.65370i | 0.790661 | + | 0.0831018i | ||||
\(397\) | −5.81855 | − | 1.55908i | −0.292025 | − | 0.0782477i | 0.109833 | − | 0.993950i | \(-0.464969\pi\) |
−0.401857 | + | 0.915702i | \(0.631635\pi\) | |||||||
\(398\) | −0.116133 | − | 0.433414i | −0.00582122 | − | 0.0217251i | ||||
\(399\) | 19.4428 | + | 14.1260i | 0.973358 | + | 0.707186i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 34.1154 | + | 11.0848i | 1.70364 | + | 0.553546i | 0.989254 | − | 0.146205i | \(-0.0467060\pi\) |
0.714386 | + | 0.699752i | \(0.246706\pi\) | |||||||
\(402\) | −0.360327 | − | 0.360327i | −0.0179715 | − | 0.0179715i | ||||
\(403\) | −0.389100 | + | 21.7566i | −0.0193824 | + | 1.08377i | ||||
\(404\) | 17.0486i | 0.848199i | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −0.137022 | − | 0.123375i | −0.00680028 | − | 0.00612300i | ||||
\(407\) | 4.86606 | − | 0.770709i | 0.241202 | − | 0.0382026i | ||||
\(408\) | 0.518528 | − | 0.138939i | 0.0256710 | − | 0.00687851i | ||||
\(409\) | −10.0701 | − | 17.4419i | −0.497933 | − | 0.862446i | 0.502064 | − | 0.864831i | \(-0.332574\pi\) |
−0.999997 | + | 0.00238475i | \(0.999241\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 17.7985 | − | 12.9313i | 0.877933 | − | 0.637856i | ||||
\(412\) | −13.0784 | − | 10.5907i | −0.644326 | − | 0.521765i | ||||
\(413\) | −0.0964686 | + | 1.84073i | −0.00474691 | + | 0.0905765i | ||||
\(414\) | 0.772358 | − | 0.343876i | 0.0379593 | − | 0.0169006i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | −0.689363 | + | 3.24320i | −0.0337988 | + | 0.159011i | ||||
\(417\) | −5.28493 | + | 2.02870i | −0.258804 | + | 0.0993457i | ||||
\(418\) | 1.93879 | + | 0.987863i | 0.0948294 | + | 0.0483180i | ||||
\(419\) | −11.7746 | + | 3.82578i | −0.575225 | + | 0.186902i | −0.582160 | − | 0.813074i | \(-0.697792\pi\) |
0.00693557 | + | 0.999976i | \(0.497792\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 21.0885 | + | 4.48249i | 1.02779 | + | 0.218463i | 0.690800 | − | 0.723046i | \(-0.257258\pi\) |
0.336988 | + | 0.941509i | \(0.390592\pi\) | |||||||
\(422\) | 0.0907704 | − | 0.139774i | 0.00441864 | − | 0.00680410i | ||||
\(423\) | −17.6946 | − | 6.79231i | −0.860340 | − | 0.330253i | ||||
\(424\) | 1.11775 | + | 1.24138i | 0.0542825 | + | 0.0602869i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | −0.0829946 | − | 0.114232i | −0.00402110 | − | 0.00553457i | ||||
\(427\) | 22.5084 | − | 18.2269i | 1.08926 | − | 0.882062i | ||||
\(428\) | −6.14261 | + | 22.9245i | −0.296914 | + | 1.10810i | ||||
\(429\) | 9.28974 | − | 16.0903i | 0.448513 | − | 0.776847i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −15.6686 | + | 17.4017i | −0.754728 | + | 0.838211i | −0.991054 | − | 0.133463i | \(-0.957390\pi\) |
0.236326 | + | 0.971674i | \(0.424057\pi\) | |||||||
\(432\) | −18.5379 | + | 9.44554i | −0.891906 | + | 0.454449i | ||||
\(433\) | 6.71039 | − | 6.71039i | 0.322481 | − | 0.322481i | −0.527237 | − | 0.849718i | \(-0.676772\pi\) |
0.849718 | + | 0.527237i | \(0.176772\pi\) | |||||||
\(434\) | 0.657657 | + | 1.05348i | 0.0315686 | + | 0.0505685i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 1.23291 | − | 3.79452i | 0.0590459 | − | 0.181725i | ||||
\(437\) | −46.0386 | + | 2.41278i | −2.20233 | + | 0.115419i | ||||
\(438\) | −0.00165626 | − | 0.0104572i | −7.91394e−5 | − | 0.000499666i | ||||
\(439\) | −1.70220 | − | 0.982765i | −0.0812415 | − | 0.0469048i | 0.458829 | − | 0.888525i | \(-0.348269\pi\) |
−0.540070 | + | 0.841620i | \(0.681602\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −0.547949 | + | 5.21338i | −0.0260928 | + | 0.248256i | ||||
\(442\) | −0.0754852 | + | 0.476595i | −0.00359046 | + | 0.0226693i | ||||
\(443\) | −1.95404 | + | 2.41304i | −0.0928393 | + | 0.114647i | −0.821449 | − | 0.570283i | \(-0.806834\pi\) |
0.728609 | + | 0.684930i | \(0.240167\pi\) | |||||||
\(444\) | −1.81989 | + | 1.63863i | −0.0863680 | + | 0.0777661i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | −0.212072 | − | 0.997721i | −0.0100419 | − | 0.0472435i | ||||
\(447\) | 1.58751 | + | 2.44456i | 0.0750869 | + | 0.115624i | ||||
\(448\) | −8.87908 | − | 23.1308i | −0.419497 | − | 1.09283i | ||||
\(449\) | 2.12388 | + | 6.53664i | 0.100232 | + | 0.308483i | 0.988582 | − | 0.150685i | \(-0.0481478\pi\) |
−0.888350 | + | 0.459167i | \(0.848148\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 17.9181 | − | 40.2446i | 0.843728 | − | 1.89504i | ||||
\(452\) | −7.56674 | + | 4.91390i | −0.355910 | + | 0.231130i | ||||
\(453\) | −4.65805 | − | 3.02497i | −0.218854 | − | 0.142125i | ||||
\(454\) | 0.452583 | + | 1.01652i | 0.0212408 | + | 0.0477075i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −2.15404 | + | 0.226399i | −0.100872 | + | 0.0106021i | ||||
\(457\) | −4.64490 | − | 0.735680i | −0.217279 | − | 0.0344137i | 0.0468456 | − | 0.998902i | \(-0.485083\pi\) |
−0.264125 | + | 0.964488i | \(0.585083\pi\) | |||||||
\(458\) | −0.131145 | − | 0.161951i | −0.00612802 | − | 0.00756748i | ||||
\(459\) | −7.89990 | + | 4.56101i | −0.368736 | + | 0.212890i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −11.7940 | + | 16.2331i | −0.549302 | + | 0.756049i | −0.989917 | − | 0.141647i | \(-0.954760\pi\) |
0.440615 | + | 0.897696i | \(0.354760\pi\) | |||||||
\(462\) | −0.0554959 | − | 1.05893i | −0.00258190 | − | 0.0492657i | ||||
\(463\) | −1.44162 | − | 2.82935i | −0.0669979 | − | 0.131491i | 0.855079 | − | 0.518498i | \(-0.173509\pi\) |
−0.922077 | + | 0.387007i | \(0.873509\pi\) | |||||||
\(464\) | −3.28156 | −0.152343 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −0.324149 | −0.0150159 | ||||||||
\(467\) | 10.7271 | + | 21.0530i | 0.496389 | + | 0.974218i | 0.994262 | + | 0.106968i | \(0.0341143\pi\) |
−0.497874 | + | 0.867250i | \(0.665886\pi\) | |||||||
\(468\) | −0.740824 | − | 14.1358i | −0.0342446 | − | 0.653426i | ||||
\(469\) | −12.1994 | + | 16.7911i | −0.563317 | + | 0.775339i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 18.9831 | − | 10.9599i | 0.874693 | − | 0.505005i | ||||
\(472\) | −0.104543 | − | 0.129100i | −0.00481200 | − | 0.00594233i | ||||
\(473\) | 39.7423 | + | 6.29456i | 1.82735 | + | 0.289424i | ||||
\(474\) | 0.830226 | − | 0.0872603i | 0.0381335 | − | 0.00400800i | ||||
\(475\) | 0 | 0 | ||||||||
\(476\) | −4.44092 | − | 9.97448i | −0.203549 | − | 0.457179i | ||||
\(477\) | −8.97518 | − | 5.82855i | −0.410945 | − | 0.266871i | ||||
\(478\) | 0.372013 | − | 0.241588i | 0.0170155 | − | 0.0110500i | ||||
\(479\) | 12.0698 | − | 27.1092i | 0.551482 | − | 1.23865i | −0.395826 | − | 0.918326i | \(-0.629542\pi\) |
0.947308 | − | 0.320324i | \(-0.103792\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −1.36217 | − | 4.19233i | −0.0621097 | − | 0.191154i | ||||
\(482\) | −0.558816 | − | 1.45577i | −0.0254534 | − | 0.0663083i | ||||
\(483\) | 12.2359 | + | 18.8417i | 0.556755 | + | 0.857327i | ||||
\(484\) | 3.35137 | + | 15.7669i | 0.152335 | + | 0.716679i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | −0.814070 | + | 0.732992i | −0.0369270 | + | 0.0332492i | ||||
\(487\) | 4.21927 | − | 5.21037i | 0.191193 | − | 0.236104i | −0.672531 | − | 0.740069i | \(-0.734793\pi\) |
0.863724 | + | 0.503965i | \(0.168126\pi\) | |||||||
\(488\) | −0.408331 | + | 2.57810i | −0.0184843 | + | 0.116705i | ||||
\(489\) | −0.259059 | + | 2.46478i | −0.0117151 | + | 0.111461i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 9.78893 | + | 5.65164i | 0.441768 | + | 0.255055i | 0.704347 | − | 0.709856i | \(-0.251240\pi\) |
−0.262579 | + | 0.964910i | \(0.584573\pi\) | |||||||
\(492\) | 3.42549 | + | 21.6277i | 0.154433 | + | 0.975052i | ||||
\(493\) | −1.43680 | + | 0.0752995i | −0.0647102 | + | 0.00339132i | ||||
\(494\) | 0.601622 | − | 1.85160i | 0.0270683 | − | 0.0833075i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 21.2442 | + | 6.10155i | 0.953895 | + | 0.273968i | ||||
\(497\) | −4.06654 | + | 4.06654i | −0.182409 | + | 0.182409i | ||||
\(498\) | −0.192725 | + | 0.0981980i | −0.00863619 | + | 0.00440036i | ||||
\(499\) | −6.18041 | + | 6.86404i | −0.276673 | + | 0.307276i | −0.865426 | − | 0.501036i | \(-0.832952\pi\) |
0.588753 | + | 0.808313i | \(0.299619\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −6.67441 | + | 11.5604i | −0.298191 | + | 0.516481i | ||||
\(502\) | −0.205047 | + | 0.765244i | −0.00915168 | + | 0.0341545i | ||||
\(503\) | −5.61310 | + | 4.54540i | −0.250276 | + | 0.202669i | −0.746246 | − | 0.665670i | \(-0.768146\pi\) |
0.495970 | + | 0.868339i | \(0.334812\pi\) | |||||||
\(504\) | −0.950908 | − | 1.30881i | −0.0423568 | − | 0.0582992i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | 1.36109 | + | 1.51165i | 0.0605080 | + | 0.0672010i | ||||
\(507\) | −2.31075 | − | 0.887012i | −0.102624 | − | 0.0393936i | ||||
\(508\) | 12.3052 | − | 18.9483i | 0.545954 | − | 0.840695i | ||||
\(509\) | 23.3136 | + | 4.95545i | 1.03336 | + | 0.219646i | 0.693217 | − | 0.720729i | \(-0.256193\pi\) |
0.340138 | + | 0.940375i | \(0.389526\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −0.410122 | + | 0.133257i | −0.0181427 | + | 0.00589493i | ||||
\(512\) | 5.00560 | + | 2.55048i | 0.221218 | + | 0.112716i | ||||
\(513\) | 34.3601 | − | 13.1896i | 1.51704 | − | 0.582336i | ||||
\(514\) | 0.256106 | − | 1.20489i | 0.0112964 | − | 0.0531452i | ||||
\(515\) | 0 | 0 | ||||||||
\(516\) | −18.2716 | + | 8.13503i | −0.804362 | + | 0.358125i | ||||
\(517\) | 2.38659 | − | 45.5388i | 0.104962 | − | 2.00280i | ||||
\(518\) | −0.195515 | − | 0.158325i | −0.00859043 | − | 0.00695639i | ||||
\(519\) | 3.97363 | − | 2.88701i | 0.174423 | − | 0.126726i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −12.3861 | − | 21.4533i | −0.542643 | − | 0.939885i | −0.998751 | − | 0.0499607i | \(-0.984090\pi\) |
0.456108 | − | 0.889924i | \(-0.349243\pi\) | |||||||
\(522\) | −0.102830 | + | 0.0275531i | −0.00450073 | + | 0.00120597i | ||||
\(523\) | −22.6713 | + | 3.59079i | −0.991348 | + | 0.157014i | −0.630983 | − | 0.775797i | \(-0.717348\pi\) |
−0.360366 | + | 0.932811i | \(0.617348\pi\) | |||||||
\(524\) | 5.23000 | + | 4.70911i | 0.228473 | + | 0.205718i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | − | 1.80607i | − | 0.0787483i | ||||||
\(527\) | 9.44158 | + | 2.18403i | 0.411282 | + | 0.0951378i | ||||
\(528\) | −13.3448 | − | 13.3448i | −0.580756 | − | 0.580756i | ||||
\(529\) | −19.1132 | − | 6.21026i | −0.831010 | − | 0.270011i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 0.860997 | + | 0.625551i | 0.0373641 | + | 0.0271466i | ||||
\(532\) | 11.4017 | + | 42.5516i | 0.494325 | + | 1.84485i | ||||
\(533\) | −38.0726 | − | 10.2015i | −1.64911 | − | 0.441877i | ||||
\(534\) | −0.402791 | − | 0.0423351i | −0.0174305 | − | 0.00183202i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | −0.195521 | − | 1.86026i | −0.00844523 | − | 0.0803510i | ||||
\(537\) | −11.1787 | − | 0.585851i | −0.482397 | − | 0.0252813i | ||||
\(538\) | 0.199631 | − | 0.520057i | 0.00860672 | − | 0.0224213i | ||||
\(539\) | −12.3367 | + | 2.62225i | −0.531379 | + | 0.112948i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −37.6189 | − | 16.7490i | −1.61736 | − | 0.720097i | −0.619474 | − | 0.785017i | \(-0.712654\pi\) |
−0.997890 | + | 0.0649202i | \(0.979321\pi\) | |||||||
\(542\) | −0.353393 | + | 0.693573i | −0.0151795 | + | 0.0297915i | ||||
\(543\) | −10.8497 | + | 21.2938i | −0.465606 | + | 0.913803i | ||||
\(544\) | 1.34897 | + | 0.600601i | 0.0578367 | + | 0.0257505i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | −0.928019 | + | 0.197257i | −0.0397155 | + | 0.00844180i | ||||
\(547\) | −6.16273 | + | 16.0545i | −0.263499 | + | 0.686440i | 0.736451 | + | 0.676491i | \(0.236500\pi\) |
−0.999951 | + | 0.00994870i | \(0.996833\pi\) | |||||||
\(548\) | 40.2717 | + | 2.11055i | 1.72032 | + | 0.0901582i | ||||
\(549\) | −1.74797 | − | 16.6308i | −0.0746015 | − | 0.709786i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 5.77322 | + | 0.606790i | 0.245947 | + | 0.0258501i | ||||
\(552\) | −1.95574 | − | 0.524040i | −0.0832419 | − | 0.0223046i | ||||
\(553\) | −8.80010 | − | 32.8424i | −0.374218 | − | 1.39660i | ||||
\(554\) | 0.448020 | + | 0.325506i | 0.0190346 | + | 0.0138294i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −9.86881 | − | 3.20657i | −0.418531 | − | 0.135989i | ||||
\(557\) | −16.6477 | − | 16.6477i | −0.705388 | − | 0.705388i | 0.260174 | − | 0.965562i | \(-0.416220\pi\) |
−0.965562 | + | 0.260174i | \(0.916220\pi\) | |||||||
\(558\) | 0.716931 | + | 0.0128217i | 0.0303501 | + | 0.000542787i | ||||
\(559\) | − | 36.0018i | − | 1.52272i | ||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −6.14908 | − | 5.53666i | −0.259614 | − | 0.233758i | ||||
\(562\) | 0.600773 | − | 0.0951531i | 0.0253421 | − | 0.00401379i | ||||
\(563\) | −15.4538 | + | 4.14083i | −0.651300 | + | 0.174515i | −0.569317 | − | 0.822118i | \(-0.692792\pi\) |
−0.0819834 | + | 0.996634i | \(0.526125\pi\) | |||||||
\(564\) | 11.3334 | + | 19.6300i | 0.477223 | + | 0.826574i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | 0.889084 | − | 0.645957i | 0.0373710 | − | 0.0271516i | ||||
\(567\) | −0.628952 | − | 0.509315i | −0.0264135 | − | 0.0213892i | ||||
\(568\) | 0.0271256 | − | 0.517587i | 0.00113817 | − | 0.0217175i | ||||
\(569\) | 34.1914 | − | 15.2230i | 1.43338 | − | 0.638181i | 0.464467 | − | 0.885590i | \(-0.346246\pi\) |
0.968911 | + | 0.247409i | \(0.0795791\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −3.81748 | + | 17.9598i | −0.159757 | + | 0.751596i | 0.823199 | + | 0.567753i | \(0.192187\pi\) |
−0.982956 | + | 0.183843i | \(0.941146\pi\) | |||||||
\(572\) | 31.7948 | − | 12.2049i | 1.32941 | − | 0.510311i | ||||
\(573\) | −16.2638 | − | 8.28680i | −0.679429 | − | 0.346186i | ||||
\(574\) | −2.13945 | + | 0.695151i | −0.0892991 | + | 0.0290150i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | −13.9927 | − | 2.97424i | −0.583029 | − | 0.123927i | ||||
\(577\) | 13.8136 | − | 21.2711i | 0.575069 | − | 0.885529i | −0.424735 | − | 0.905318i | \(-0.639633\pi\) |
0.999804 | + | 0.0197889i | \(0.00629940\pi\) | |||||||
\(578\) | −0.925191 | − | 0.355147i | −0.0384829 | − | 0.0147722i | ||||
\(579\) | 7.26928 | + | 8.07336i | 0.302101 | + | 0.335517i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 5.17826 | + | 7.12726i | 0.214830 | + | 0.295689i | ||||
\(582\) | 0.456286 | − | 0.369493i | 0.0189137 | − | 0.0153160i | ||||
\(583\) | 6.66403 | − | 24.8705i | 0.275996 | − | 1.03003i | ||||
\(584\) | 0.0194319 | − | 0.0336570i | 0.000804098 | − | 0.00139274i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −1.20056 | + | 1.33335i | −0.0495945 | + | 0.0550803i | ||||
\(587\) | 34.5874 | − | 17.6232i | 1.42758 | − | 0.727386i | 0.442062 | − | 0.896984i | \(-0.354247\pi\) |
0.985513 | + | 0.169598i | \(0.0542470\pi\) | |||||||
\(588\) | 4.43295 | − | 4.43295i | 0.182812 | − | 0.182812i | ||||
\(589\) | −36.2465 | − | 14.6626i | −1.49351 | − | 0.604164i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −1.71171 | + | 5.26812i | −0.0704105 | + | 0.216701i | ||||
\(592\) | −4.47143 | + | 0.234338i | −0.183775 | + | 0.00963122i | ||||
\(593\) | 1.41530 | + | 8.93582i | 0.0581192 | + | 0.366950i | 0.999557 | + | 0.0297635i | \(0.00947541\pi\) |
−0.941438 | + | 0.337187i | \(0.890525\pi\) | |||||||
\(594\) | −1.40635 | − | 0.811956i | −0.0577032 | − | 0.0333150i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −0.558488 | + | 5.31366i | −0.0228766 | + | 0.217656i | ||||
\(597\) | 1.07694 | − | 6.79952i | 0.0440761 | − | 0.278286i | ||||
\(598\) | 1.14536 | − | 1.41440i | 0.0468371 | − | 0.0578390i | ||||
\(599\) | −8.90857 | + | 8.02132i | −0.363994 | + | 0.327742i | −0.830751 | − | 0.556644i | \(-0.812089\pi\) |
0.466757 | + | 0.884386i | \(0.345422\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 1.72168 | + | 8.09988i | 0.0702289 | + | 0.330401i | 0.999211 | − | 0.0397246i | \(-0.0126481\pi\) |
−0.928982 | + | 0.370125i | \(0.879315\pi\) | |||||||
\(602\) | −1.11908 | − | 1.72323i | −0.0456103 | − | 0.0702337i | ||||
\(603\) | 4.29445 | + | 11.1874i | 0.174884 | + | 0.455588i | ||||
\(604\) | −3.14605 | − | 9.68254i | −0.128011 | − | 0.393977i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 0.268347 | − | 0.602718i | 0.0109009 | − | 0.0244838i | ||||
\(607\) | 17.4236 | − | 11.3150i | 0.707201 | − | 0.459262i | −0.140263 | − | 0.990114i | \(-0.544795\pi\) |
0.847464 | + | 0.530853i | \(0.178128\pi\) | |||||||
\(608\) | −4.99662 | − | 3.24484i | −0.202640 | − | 0.131596i | ||||
\(609\) | −1.15061 | − | 2.58431i | −0.0466251 | − | 0.104722i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −40.5773 | + | 4.26485i | −1.64158 | + | 0.172537i | ||||
\(612\) | −6.22642 | − | 0.986167i | −0.251688 | − | 0.0398635i | ||||
\(613\) | 21.8414 | + | 26.9719i | 0.882166 | + | 1.08938i | 0.995399 | + | 0.0958160i | \(0.0305460\pi\) |
−0.113233 | + | 0.993568i | \(0.536121\pi\) | |||||||
\(614\) | −0.736721 | + | 0.425346i | −0.0297316 | + | 0.0171656i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 2.28785 | − | 3.14896i | 0.0921801 | − | 0.126875i | ||||
\(617\) | 1.92743 | + | 36.7775i | 0.0775953 | + | 1.48061i | 0.709030 | + | 0.705178i | \(0.249133\pi\) |
−0.631435 | + | 0.775429i | \(0.717534\pi\) | |||||||
\(618\) | 0.295661 | + | 0.580267i | 0.0118932 | + | 0.0233418i | ||||
\(619\) | −25.1386 | −1.01041 | −0.505203 | − | 0.863000i | \(-0.668582\pi\) | ||||
−0.505203 | + | 0.863000i | \(0.668582\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 34.4057 | 1.38065 | ||||||||
\(622\) | 0.416972 | + | 0.818354i | 0.0167191 | + | 0.0328130i | ||||
\(623\) | 0.863326 | + | 16.4733i | 0.0345884 | + | 0.659987i | ||||
\(624\) | −9.92513 | + | 13.6608i | −0.397323 | + | 0.546868i | ||||
\(625\) | 0 | 0 | ||||||||
\(626\) | −2.05471 | + | 1.18629i | −0.0821229 | + | 0.0474137i | ||||
\(627\) | 21.0097 | + | 25.9449i | 0.839048 | + | 1.03614i | ||||
\(628\) | 39.6850 | + | 6.28549i | 1.58360 | + | 0.250818i | ||||
\(629\) | −1.95239 | + | 0.205205i | −0.0778470 | + | 0.00818205i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −2.80677 | − | 6.30411i | −0.111736 | − | 0.250963i | 0.849019 | − | 0.528363i | \(-0.177194\pi\) |
−0.960754 | + | 0.277400i | \(0.910527\pi\) | |||||||
\(632\) | 2.56993 | + | 1.66893i | 0.102226 | + | 0.0663866i | ||||
\(633\) | 2.14450 | − | 1.39265i | 0.0852362 | − | 0.0553530i | ||||
\(634\) | −0.347671 | + | 0.780882i | −0.0138078 | + | 0.0310128i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | 3.95490 | + | 12.1719i | 0.156822 | + | 0.482649i | ||||
\(637\) | 4.04404 | + | 10.5351i | 0.160231 | + | 0.417415i | ||||
\(638\) | −0.139499 | − | 0.214810i | −0.00552283 | − | 0.00850442i | ||||
\(639\) | 0.690363 | + | 3.24790i | 0.0273103 | + | 0.128485i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 13.2567 | − | 11.9364i | 0.523609 | − | 0.471459i | −0.364428 | − | 0.931231i | \(-0.618736\pi\) |
0.888037 | + | 0.459772i | \(0.152069\pi\) | |||||||
\(642\) | 0.577996 | − | 0.713765i | 0.0228117 | − | 0.0281701i | ||||
\(643\) | −6.08654 | + | 38.4289i | −0.240030 | + | 1.51549i | 0.513508 | + | 0.858085i | \(0.328346\pi\) |
−0.753538 | + | 0.657404i | \(0.771654\pi\) | |||||||
\(644\) | −4.30461 | + | 40.9557i | −0.169626 | + | 1.61388i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −0.750889 | − | 0.433526i | −0.0295433 | − | 0.0170568i | ||||
\(647\) | −2.56058 | − | 16.1669i | −0.100667 | − | 0.635586i | −0.985500 | − | 0.169677i | \(-0.945728\pi\) |
0.884833 | − | 0.465909i | \(-0.154272\pi\) | |||||||
\(648\) | 0.0728380 | − | 0.00381728i | 0.00286135 | − | 0.000149957i | ||||
\(649\) | −0.791254 | + | 2.43523i | −0.0310594 | + | 0.0955911i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 2.64371 | + | 18.8697i | 0.103615 | + | 0.739564i | ||||
\(652\) | −3.21233 | + | 3.21233i | −0.125805 | + | 0.125805i | ||||
\(653\) | −25.7100 | + | 13.0999i | −1.00611 | + | 0.512638i | −0.877765 | − | 0.479091i | \(-0.840966\pi\) |
−0.128344 | + | 0.991730i | \(0.540966\pi\) | |||||||
\(654\) | −0.103314 | + | 0.114741i | −0.00403988 | + | 0.00448674i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | −20.0185 | + | 34.6731i | −0.781591 | + | 1.35376i | ||||
\(657\) | −0.0644408 | + | 0.240496i | −0.00251407 | + | 0.00938266i | ||||
\(658\) | −1.80967 | + | 1.46544i | −0.0705483 | + | 0.0571289i | ||||
\(659\) | 25.9081 | + | 35.6594i | 1.00923 | + | 1.38909i | 0.919484 | + | 0.393128i | \(0.128607\pi\) |
0.0897506 | + | 0.995964i | \(0.471393\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 2.48122 | + | 2.75568i | 0.0965083 | + | 0.107183i | 0.789464 | − | 0.613797i | \(-0.210359\pi\) |
−0.692956 | + | 0.720980i | \(0.743692\pi\) | |||||||
\(662\) | 0.368049 | + | 0.141281i | 0.0143046 | + | 0.00549103i | ||||
\(663\) | −4.03215 | + | 6.20897i | −0.156596 | + | 0.241136i | ||||
\(664\) | −0.776620 | − | 0.165076i | −0.0301387 | − | 0.00640618i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −0.138147 | + | 0.0448867i | −0.00535309 | + | 0.00173932i | ||||
\(667\) | 4.83517 | + | 2.46364i | 0.187219 | + | 0.0953927i | ||||
\(668\) | −22.8436 | + | 8.76885i | −0.883847 | + | 0.339277i | ||||
\(669\) | 3.25374 | − | 15.3076i | 0.125797 | − | 0.591827i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 36.7552 | − | 16.3645i | 1.41892 | − | 0.631743i | ||||
\(672\) | −0.151948 | + | 2.89935i | −0.00586153 | + | 0.111845i | ||||
\(673\) | −13.5882 | − | 11.0035i | −0.523786 | − | 0.424153i | 0.330617 | − | 0.943765i | \(-0.392743\pi\) |
−0.854403 | + | 0.519612i | \(0.826077\pi\) | |||||||
\(674\) | −0.185747 | + | 0.134953i | −0.00715472 | + | 0.00519821i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −2.26851 | − | 3.92918i | −0.0872504 | − | 0.151122i | ||||
\(677\) | −29.3867 | + | 7.87414i | −1.12942 | + | 0.302628i | −0.774691 | − | 0.632340i | \(-0.782094\pi\) |
−0.354732 | + | 0.934968i | \(0.615428\pi\) | |||||||
\(678\) | 0.344852 | − | 0.0546193i | 0.0132440 | − | 0.00209764i | ||||
\(679\) | −17.7712 | − | 16.0013i | −0.681997 | − | 0.614073i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 17.0720i | 0.654199i | ||||||||
\(682\) | 0.503687 | + | 1.65002i | 0.0192872 | + | 0.0631825i | ||||
\(683\) | −2.77195 | − | 2.77195i | −0.106066 | − | 0.106066i | 0.652082 | − | 0.758148i | \(-0.273896\pi\) |
−0.758148 | + | 0.652082i | \(0.773896\pi\) | |||||||
\(684\) | 24.1900 | + | 7.85982i | 0.924929 | + | 0.300528i | ||||
\(685\) | 0 | 0 | ||||||||
\(686\) | −0.742134 | − | 0.539192i | −0.0283348 | − | 0.0205864i | ||||
\(687\) | −0.827516 | − | 3.08833i | −0.0315717 | − | 0.117827i | ||||
\(688\) | −35.3233 | − | 9.46484i | −1.34669 | − | 0.360844i | ||||
\(689\) | −22.9111 | − | 2.40806i | −0.872844 | − | 0.0917397i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 3.10919 | + | 29.5819i | 0.118279 | + | 1.12535i | 0.879183 | + | 0.476485i | \(0.158089\pi\) |
−0.760904 | + | 0.648865i | \(0.775244\pi\) | |||||||
\(692\) | 8.99093 | + | 0.471195i | 0.341784 | + | 0.0179121i | ||||
\(693\) | −8.93630 | + | 23.2798i | −0.339462 | + | 0.884328i | ||||
\(694\) | 1.02314 | − | 0.217476i | 0.0388380 | − | 0.00825527i | ||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 0.232908 | + | 0.103697i | 0.00882834 | + | 0.00393063i | ||||
\(697\) | −7.96928 | + | 15.6406i | −0.301858 | + | 0.592430i | ||||
\(698\) | 1.03732 | − | 2.03586i | 0.0392632 | − | 0.0770584i | ||||
\(699\) | −4.54332 | − | 2.02282i | −0.171844 | − | 0.0765099i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 12.9670 | − | 2.75622i | 0.489756 | − | 0.104101i | 0.0435872 | − | 0.999050i | \(-0.486121\pi\) |
0.446169 | + | 0.894949i | \(0.352788\pi\) | |||||||
\(702\) | −0.520695 | + | 1.35646i | −0.0196524 | + | 0.0511961i | ||||
\(703\) | 7.90987 | + | 0.414539i | 0.298326 | + | 0.0156346i | ||||
\(704\) | −3.59767 | − | 34.2295i | −0.135592 | − | 1.29007i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 0.552348 | + | 0.0580541i | 0.0207879 | + | 0.00218489i | ||||
\(707\) | −25.9560 | − | 6.95488i | −0.976174 | − | 0.261565i | ||||
\(708\) | −0.329414 | − | 1.22939i | −0.0123802 | − | 0.0462033i | ||||
\(709\) | 19.0689 | + | 13.8544i | 0.716147 | + | 0.520311i | 0.885151 | − | 0.465304i | \(-0.154055\pi\) |
−0.169004 | + | 0.985615i | \(0.554055\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −18.6705 | − | 6.06641i | −0.700198 | − | 0.227508i | ||||
\(712\) | −1.05123 | − | 1.05123i | −0.0393966 | − | 0.0393966i | ||||
\(713\) | −26.7213 | − | 24.9394i | −1.00072 | − | 0.933989i | ||||
\(714\) | 0.422528i | 0.0158127i | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −15.2486 | − | 13.7299i | −0.569869 | − | 0.513112i | ||||
\(717\) | 6.72179 | − | 1.06463i | 0.251030 | − | 0.0397592i | ||||
\(718\) | 1.13252 | − | 0.303459i | 0.0422654 | − | 0.0113250i | ||||
\(719\) | −16.6609 | − | 28.8576i | −0.621348 | − | 1.07621i | −0.989235 | − | 0.146336i | \(-0.953252\pi\) |
0.367887 | − | 0.929871i | \(-0.380081\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 21.4592 | − | 15.5910i | 0.799183 | − | 0.580641i | ||||
\(722\) | 1.67126 | + | 1.35336i | 0.0621980 | + | 0.0503670i | ||||
\(723\) | 1.25210 | − | 23.8915i | 0.0465661 | − | 0.888534i | ||||
\(724\) | −40.0196 | + | 17.8179i | −1.48732 | + | 0.662196i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 0.129693 | − | 0.610160i | 0.00481338 | − | 0.0226451i | ||||
\(727\) | −8.79366 | + | 3.37557i | −0.326139 | + | 0.125193i | −0.515928 | − | 0.856632i | \(-0.672553\pi\) |
0.189789 | + | 0.981825i | \(0.439220\pi\) | |||||||
\(728\) | −3.10300 | − | 1.58106i | −0.115005 | − | 0.0585978i | ||||
\(729\) | −16.7186 | + | 5.43222i | −0.619209 | + | 0.201193i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −15.6831 | − | 3.33355i | −0.580061 | − | 0.123296i | ||||
\(732\) | −10.8921 | + | 16.7723i | −0.402582 | + | 0.619922i | ||||
\(733\) | −13.5871 | − | 5.21562i | −0.501853 | − | 0.192643i | 0.0942544 | − | 0.995548i | \(-0.469953\pi\) |
−0.596107 | + | 0.802905i | \(0.703287\pi\) | |||||||
\(734\) | 0.132161 | + | 0.146780i | 0.00487815 | + | 0.00541773i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −3.27364 | − | 4.50578i | −0.120668 | − | 0.166085i | ||||
\(737\) | −22.4063 | + | 18.1443i | −0.825347 | + | 0.668353i | ||||
\(738\) | −0.336164 | + | 1.25458i | −0.0123744 | + | 0.0461818i | ||||
\(739\) | −4.75149 | + | 8.22982i | −0.174786 | + | 0.302739i | −0.940087 | − | 0.340934i | \(-0.889257\pi\) |
0.765301 | + | 0.643673i | \(0.222590\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 19.9872 | − | 22.1980i | 0.734247 | − | 0.815464i | ||||
\(742\) | −1.17150 | + | 0.596907i | −0.0430070 | + | 0.0219131i | ||||
\(743\) | −32.7625 | + | 32.7625i | −1.20194 | + | 1.20194i | −0.228365 | + | 0.973576i | \(0.573338\pi\) |
−0.973576 | + | 0.228365i | \(0.926662\pi\) | |||||||
\(744\) | −1.31499 | − | 1.10437i | −0.0482100 | − | 0.0404882i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | 0.0233882 | − | 0.0719814i | 0.000856302 | − | 0.00263543i | ||||
\(747\) | 5.07958 | − | 0.266210i | 0.185852 | − | 0.00974010i | ||||
\(748\) | −2.37268 | − | 14.9805i | −0.0867539 | − | 0.547743i | ||||
\(749\) | −32.3961 | − | 18.7039i | −1.18373 | − | 0.683425i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −3.79985 | + | 36.1531i | −0.138658 | + | 1.31925i | 0.674963 | + | 0.737851i | \(0.264159\pi\) |
−0.813622 | + | 0.581395i | \(0.802507\pi\) | |||||||
\(752\) | −6.48327 | + | 40.9338i | −0.236420 | + | 1.49270i | ||||
\(753\) | −7.64939 | + | 9.44621i | −0.278759 | + | 0.344239i | ||||
\(754\) | −0.170305 | + | 0.153344i | −0.00620215 | + | 0.00558445i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | −6.83539 | − | 32.1580i | −0.248601 | − | 1.16958i | ||||
\(757\) | −27.8317 | − | 42.8570i | −1.01156 | − | 1.55766i | −0.816889 | − | 0.576795i | \(-0.804303\pi\) |
−0.194669 | − | 0.980869i | \(-0.562363\pi\) | |||||||
\(758\) | 0.000736106 | 0.00191762i | 2.67366e−5 | 6.96511e-5i | ||||||
\(759\) | 9.64403 | + | 29.6813i | 0.350056 | + | 1.07736i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −7.18623 | + | 16.1405i | −0.260501 | + | 0.585094i | −0.995688 | − | 0.0927703i | \(-0.970428\pi\) |
0.735187 | + | 0.677865i | \(0.237094\pi\) | |||||||
\(762\) | −0.733274 | + | 0.476194i | −0.0265637 | + | 0.0172507i | ||||
\(763\) | 5.27408 | + | 3.42503i | 0.190935 | + | 0.123994i | ||||
\(764\) | −13.6089 | − | 30.5662i | −0.492354 | − | 1.10585i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −1.67937 | + | 0.176509i | −0.0606782 | + | 0.00637754i | ||||
\(767\) | 2.26279 | + | 0.358391i | 0.0817047 | + | 0.0129408i | ||||
\(768\) | 10.6840 | + | 13.1936i | 0.385525 | + | 0.476083i | ||||
\(769\) | 22.9067 | − | 13.2252i | 0.826037 | − | 0.476913i | −0.0264567 | − | 0.999650i | \(-0.508422\pi\) |
0.852494 | + | 0.522737i | \(0.175089\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 11.1086 | − | 15.2897i | 0.400066 | − | 0.550644i | ||||
\(772\) | 1.04220 | + | 19.8864i | 0.0375096 | + | 0.715727i | ||||
\(773\) | 12.6350 | + | 24.7975i | 0.454448 | + | 0.891904i | 0.998599 | + | 0.0529167i | \(0.0168518\pi\) |
−0.544151 | + | 0.838987i | \(0.683148\pi\) | |||||||
\(774\) | −1.18634 | −0.0426422 | ||||||||
\(775\) | 0 | 0 | ||||||||
\(776\) | 2.15518 | 0.0773663 | ||||||||
\(777\) | −1.75236 | − | 3.43919i | −0.0628655 | − | 0.123380i | ||||
\(778\) | −0.0575899 | − | 1.09888i | −0.00206470 | − | 0.0393968i | ||||
\(779\) | 41.6297 | − | 57.2983i | 1.49154 | − | 2.05293i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −6.91860 | + | 3.99446i | −0.247567 | + | 0.142933i | ||||
\(782\) | −0.510087 | − | 0.629905i | −0.0182407 | − | 0.0225253i | ||||
\(783\) | −4.27894 | − | 0.677718i | −0.152917 | − | 0.0242197i | ||||
\(784\) | 11.3997 | − | 1.19815i | 0.407132 | − | 0.0427912i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | −0.110774 | − | 0.248802i | −0.00395117 | − | 0.00887447i | ||||
\(787\) | 27.0679 | + | 17.5781i | 0.964868 | + | 0.626593i | 0.927942 | − | 0.372725i | \(-0.121577\pi\) |
0.0369263 | + | 0.999318i | \(0.488243\pi\) | |||||||
\(788\) | −8.51552 | + | 5.53004i | −0.303353 | + | 0.197000i | ||||
\(789\) | 11.2706 | − | 25.3141i | 0.401243 | − | 0.901207i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −4.39445 | − | 13.5247i | −0.156249 | − | 0.480884i | ||||
\(792\) | −0.805372 | − | 2.09807i | −0.0286176 | − | 0.0745515i | ||||
\(793\) | −19.6060 | − | 30.1906i | −0.696229 | − | 1.07210i | ||||
\(794\) | 0.0888416 | + | 0.417967i | 0.00315287 | + | 0.0148331i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 9.37783 | − | 8.44384i | 0.332388 | − | 0.299284i | ||||
\(797\) | −9.59133 | + | 11.8443i | −0.339742 | + | 0.419547i | −0.918170 | − | 0.396187i | \(-0.870333\pi\) |
0.578428 | + | 0.815734i | \(0.303667\pi\) | |||||||
\(798\) | 0.266686 | − | 1.68379i | 0.00944059 | − | 0.0596055i | ||||
\(799\) | −1.89936 | + | 18.0712i | −0.0671945 | + | 0.639313i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 8.24829 | + | 4.76215i | 0.291439 | + | 0.168262i | ||||
\(802\) | −0.398055 | − | 2.51322i | −0.0140558 | − | 0.0887448i | ||||
\(803\) | −0.598216 | + | 0.0313512i | −0.0211106 | + | 0.00110636i | ||||
\(804\) | 4.42857 | − | 13.6297i | 0.156184 | − | 0.480683i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 1.38764 | − | 0.676062i | 0.0488777 | − | 0.0238133i | ||||
\(807\) | 6.04343 | − | 6.04343i | 0.212739 | − | 0.212739i | ||||
\(808\) | 2.15781 | − | 1.09946i | 0.0759115 | − | 0.0386788i | ||||
\(809\) | −21.1268 | + | 23.4637i | −0.742779 | + | 0.824940i | −0.989559 | − | 0.144132i | \(-0.953961\pi\) |
0.246779 | + | 0.969072i | \(0.420628\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −5.96240 | + | 10.3272i | −0.209368 | + | 0.362636i | −0.951516 | − | 0.307600i | \(-0.900474\pi\) |
0.742148 | + | 0.670237i | \(0.233807\pi\) | |||||||
\(812\) | 1.34209 | − | 5.00875i | 0.0470981 | − | 0.175773i | ||||
\(813\) | −9.28139 | + | 7.51592i | −0.325512 | + | 0.263595i | ||||
\(814\) | −0.205420 | − | 0.282737i | −0.00719997 | − | 0.00990991i | ||||
\(815\) | 0 | 0 | ||||||||
\(816\) | 5.03190 | + | 5.58849i | 0.176152 | + | 0.195636i | ||||
\(817\) | 60.3937 | + | 23.1830i | 2.11291 | + | 0.811070i | ||||
\(818\) | −0.778105 | + | 1.19818i | −0.0272058 | + | 0.0418933i | ||||
\(819\) | 21.8235 | + | 4.63873i | 0.762574 | + | 0.162090i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −2.83114 | + | 0.919893i | −0.0988075 | + | 0.0321045i | −0.358004 | − | 0.933720i | \(-0.616542\pi\) |
0.259196 | + | 0.965825i | \(0.416542\pi\) | |||||||
\(822\) | −1.39050 | − | 0.708497i | −0.0484994 | − | 0.0247117i | ||||
\(823\) | −14.9624 | + | 5.74352i | −0.521555 | + | 0.200206i | −0.604881 | − | 0.796316i | \(-0.706779\pi\) |
0.0833254 | + | 0.996522i | \(0.473446\pi\) | |||||||
\(824\) | −0.497020 | + | 2.33830i | −0.0173145 | + | 0.0814584i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 0.119449 | − | 0.0531821i | 0.00415616 | − | 0.00185044i | ||||
\(827\) | 1.30266 | − | 24.8563i | 0.0452980 | − | 0.864338i | −0.877624 | − | 0.479350i | \(-0.840872\pi\) |
0.922922 | − | 0.384987i | \(-0.125794\pi\) | |||||||
\(828\) | 18.4782 | + | 14.9634i | 0.642163 | + | 0.520013i | ||||
\(829\) | −17.0408 | + | 12.3808i | −0.591850 | + | 0.430004i | −0.842977 | − | 0.537950i | \(-0.819199\pi\) |
0.251127 | + | 0.967954i | \(0.419199\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 4.24824 | + | 7.35817i | 0.147370 | + | 0.255252i | ||||
\(832\) | −29.7455 | + | 7.97029i | −1.03124 | + | 0.276320i | ||||
\(833\) | 4.96374 | − | 0.786179i | 0.171983 | − | 0.0272395i | ||||
\(834\) | 0.298420 | + | 0.268698i | 0.0103334 | + | 0.00930427i | ||||
\(835\) | 0 | 0 | ||||||||
\(836\) | 61.1955i | 2.11649i | ||||||||
\(837\) | 26.4410 | + | 12.3434i | 0.913934 | + | 0.426652i | ||||
\(838\) | 0.620997 | + | 0.620997i | 0.0214520 | + | 0.0214520i | ||||
\(839\) | −36.6120 | − | 11.8960i | −1.26399 | − | 0.410694i | −0.401073 | − | 0.916046i | \(-0.631363\pi\) |
−0.862913 | + | 0.505352i | \(0.831363\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 22.9087 | + | 16.6441i | 0.789955 | + | 0.573936i | ||||
\(842\) | −0.395825 | − | 1.47724i | −0.0136410 | − | 0.0509090i | ||||
\(843\) | 9.01432 | + | 2.41538i | 0.310470 | + | 0.0831901i | ||||
\(844\) | 4.66143 | + | 0.489936i | 0.160453 | + | 0.0168643i | ||||
\(845\) | 0 | 0 | ||||||||
\(846\) | 0.140537 | + | 1.33712i | 0.00483175 | + | 0.0459710i | ||||
\(847\) | −25.3719 | − | 1.32968i | −0.871788 | − | 0.0456885i | ||||
\(848\) | −8.38598 | + | 21.8462i | −0.287976 | + | 0.750203i | ||||
\(849\) | 16.4926 | − | 3.50560i | 0.566023 | − | 0.120312i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 6.76429 | + | 3.01166i | 0.231877 | + | 0.103238i | ||||
\(852\) | 1.80280 | − | 3.53819i | 0.0617629 | − | 0.121217i | ||||
\(853\) | −15.2409 | + | 29.9120i | −0.521839 | + | 1.02417i | 0.468233 | + | 0.883605i | \(0.344891\pi\) |
−0.990072 | + | 0.140561i | \(0.955109\pi\) | |||||||
\(854\) | −1.87689 | − | 0.835643i | −0.0642257 | − | 0.0285951i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 3.29765 | − | 0.700938i | 0.112712 | − | 0.0239576i | ||||
\(857\) | 17.4061 | − | 45.3445i | 0.594582 | − | 1.54894i | −0.224024 | − | 0.974584i | \(-0.571919\pi\) |
0.818606 | − | 0.574356i | \(-0.194747\pi\) | |||||||
\(858\) | −1.31615 | − | 0.0689763i | −0.0449325 | − | 0.00235481i | ||||
\(859\) | 4.61635 | + | 43.9216i | 0.157508 | + | 1.49859i | 0.732691 | + | 0.680562i | \(0.238264\pi\) |
−0.575183 | + | 0.818025i | \(0.695069\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −34.3249 | − | 3.60770i | −1.16979 | − | 0.122950i | ||||
\(862\) | 1.60446 | + | 0.429913i | 0.0546481 | + | 0.0146429i | ||||
\(863\) | −12.1041 | − | 45.1731i | −0.412028 | − | 1.53771i | −0.790714 | − | 0.612185i | \(-0.790291\pi\) |
0.378686 | − | 0.925525i | \(-0.376376\pi\) | |||||||
\(864\) | 3.59712 | + | 2.61346i | 0.122376 | + | 0.0889117i | ||||
\(865\) | 0 | 0 | ||||||||
\(866\) | −0.640229 | − | 0.208023i | −0.0217559 | − | 0.00706891i | ||||
\(867\) | −10.7514 | − | 10.7514i | −0.365135 | − | 0.365135i | ||||
\(868\) | −18.0014 | + | 29.9303i | −0.611008 | + | 1.01590i | ||||
\(869\) | − | 47.2322i | − | 1.60224i | ||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 19.1705 | + | 17.2612i | 0.649567 | + | 0.584872i | ||||
\(872\) | −0.559776 | + | 0.0886598i | −0.0189564 | + | 0.00300240i | ||||
\(873\) | −13.3366 | + | 3.57354i | −0.451376 | + | 0.120946i | ||||
\(874\) | 1.63514 | + | 2.83214i | 0.0553094 | + | 0.0957986i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 0.240893 | − | 0.175019i | 0.00813902 | − | 0.00591335i | ||||
\(877\) | 34.9799 | + | 28.3262i | 1.18119 | + | 0.956506i | 0.999639 | − | 0.0268759i | \(-0.00855590\pi\) |
0.181548 | + | 0.983382i | \(0.441889\pi\) | |||||||
\(878\) | −0.00729703 | + | 0.139236i | −0.000246263 | + | 0.00469898i | ||||
\(879\) | −25.1478 | + | 11.1965i | −0.848215 | + | 0.377650i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 6.53922 | − | 30.7646i | 0.220312 | − | 1.03649i | −0.719420 | − | 0.694575i | \(-0.755592\pi\) |
0.939732 | − | 0.341911i | \(-0.111074\pi\) | |||||||
\(882\) | 0.347155 | − | 0.133260i | 0.0116893 | − | 0.00448711i | ||||
\(883\) | 49.6709 | + | 25.3086i | 1.67156 | + | 0.851702i | 0.993127 | + | 0.117038i | \(0.0373399\pi\) |
0.678431 | + | 0.734664i | \(0.262660\pi\) | |||||||
\(884\) | −12.9064 | + | 4.19354i | −0.434089 | + | 0.141044i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 0.215443 | + | 0.0457939i | 0.00723796 | + | 0.00153848i | ||||
\(887\) | −2.77750 | + | 4.27697i | −0.0932593 | + | 0.143607i | −0.882221 | − | 0.470836i | \(-0.843952\pi\) |
0.788962 | + | 0.614443i | \(0.210619\pi\) | |||||||
\(888\) | 0.324763 | + | 0.124665i | 0.0108983 | + | 0.00418348i | ||||
\(889\) | 23.8284 | + | 26.4641i | 0.799179 | + | 0.887578i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −0.660816 | − | 0.909535i | −0.0221382 | − | 0.0304706i | ||||
\(892\) | 22.2934 | − | 18.0529i | 0.746439 | − | 0.604455i | ||||
\(893\) | 18.9750 | − | 70.8155i | 0.634973 | − | 2.36975i | ||||
\(894\) | 0.103382 | − | 0.179063i | 0.00345762 | − | 0.00598877i | ||||
\(895\) | 0 | 0 | ||||||||
\(896\) | −4.74605 | + | 5.27102i | −0.158554 | + | 0.176092i | ||||
\(897\) | 24.8799 | − | 12.6769i | 0.830716 | − | 0.423271i | ||||
\(898\) | 0.344746 | − | 0.344746i | 0.0115043 | − | 0.0115043i | ||||
\(899\) | 2.83200 | + | 3.62800i | 0.0944524 | + | 0.121001i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −3.17043 | + | 9.75757i | −0.105622 | + | 0.325072i | ||||
\(902\) | −3.12067 | + | 0.163548i | −0.103907 | + | 0.00544554i | ||||
\(903\) | −4.93155 | − | 31.1366i | −0.164112 | − | 1.03616i | ||||
\(904\) | 1.10992 | + | 0.640813i | 0.0369154 | + | 0.0213131i | ||||
\(905\) | 0 | 0 | ||||||||
\(906\) | −0.0411826 | + | 0.391826i | −0.00136820 | + | 0.0130175i | ||||
\(907\) | −1.35145 | + | 8.53270i | −0.0448740 | + | 0.283323i | −0.999913 | − | 0.0131553i | \(-0.995812\pi\) |
0.955039 | + | 0.296479i | \(0.0958124\pi\) | |||||||
\(908\) | −19.6936 | + | 24.3196i | −0.653556 | + | 0.807075i | ||||
\(909\) | −11.5299 | + | 10.3816i | −0.382422 | + | 0.344334i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −10.0627 | − | 47.3411i | −0.333391 | − | 1.56848i | −0.751281 | − | 0.659982i | \(-0.770564\pi\) |
0.417890 | − | 0.908497i | \(-0.362770\pi\) | |||||||
\(912\) | −16.5250 | − | 25.4463i | −0.547198 | − | 0.842610i | ||||
\(913\) | 4.38573 | + | 11.4252i | 0.145146 | + | 0.378119i | ||||
\(914\) | 0.103087 | + | 0.317270i | 0.00340983 | + | 0.0104944i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 2.38377 | − | 5.35403i | 0.0787619 | − | 0.176902i | ||||
\(917\) | −9.30303 | + | 6.04146i | −0.307213 | + | 0.199506i | ||||
\(918\) | 0.542686 | + | 0.352425i | 0.0179113 | + | 0.0116317i | ||||
\(919\) | −18.7765 | − | 42.1726i | −0.619378 | − | 1.39115i | −0.901925 | − | 0.431892i | \(-0.857846\pi\) |
0.282547 | − | 0.959253i | \(-0.408821\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −12.9803 | + | 1.36429i | −0.427716 | + | 0.0449548i | ||||
\(922\) | 1.40582 | + | 0.222660i | 0.0462982 | + | 0.00733291i | ||||
\(923\) | 4.49833 | + | 5.55497i | 0.148064 | + | 0.182844i | ||||
\(924\) | 25.8262 | − | 14.9108i | 0.849621 | − | 0.490529i | ||||
\(925\) | 0 | 0 | ||||||||
\(926\) | −0.132401 | + | 0.182234i | −0.00435096 | + | 0.00598858i | ||||
\(927\) | −0.801521 | − | 15.2939i | −0.0263254 | − | 0.502318i | ||||
\(928\) | 0.318379 | + | 0.624854i | 0.0104513 | + | 0.0205119i | ||||
\(929\) | 21.3673 | 0.701037 | 0.350519 | − | 0.936556i | \(-0.386005\pi\) | ||||
0.350519 | + | 0.936556i | \(0.386005\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −20.2769 | −0.664548 | ||||||||
\(932\) | −4.13867 | − | 8.12259i | −0.135567 | − | 0.266064i | ||||
\(933\) | 0.737495 | + | 14.0722i | 0.0241445 | + | 0.460705i | ||||
\(934\) | 0.985187 | − | 1.35599i | 0.0322363 | − | 0.0443695i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | −1.74136 | + | 1.00538i | −0.0569182 | + | 0.0328618i | ||||
\(937\) | 6.09698 | + | 7.52914i | 0.199180 | + | 0.245966i | 0.866943 | − | 0.498407i | \(-0.166082\pi\) |
−0.667763 | + | 0.744374i | \(0.732748\pi\) | |||||||
\(938\) | 1.45414 | + | 0.230314i | 0.0474794 | + | 0.00752000i | ||||
\(939\) | −36.2021 | + | 3.80500i | −1.18141 | + | 0.124171i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −14.9445 | − | 33.5659i | −0.487176 | − | 1.09422i | −0.975188 | − | 0.221378i | \(-0.928944\pi\) |
0.488012 | − | 0.872837i | \(-0.337722\pi\) | |||||||
\(942\) | −1.30405 | − | 0.846859i | −0.0424882 | − | 0.0275921i | ||||
\(943\) | 55.5269 | − | 36.0596i | 1.80820 | − | 1.17426i | ||||
\(944\) | 0.946522 | − | 2.12592i | 0.0308067 | − | 0.0691929i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −0.882027 | − | 2.71460i | −0.0286772 | − | 0.0882593i | ||||
\(947\) | 14.7611 | + | 38.4540i | 0.479672 | + | 1.24959i | 0.933525 | + | 0.358512i | \(0.116716\pi\) |
−0.453853 | + | 0.891076i | \(0.649951\pi\) | |||||||
\(948\) | 12.7868 | + | 19.6899i | 0.415294 | + | 0.639497i | ||||
\(949\) | 0.111436 | + | 0.524263i | 0.00361735 | + | 0.0170183i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −9.74602 | + | 8.77536i | −0.316036 | + | 0.284560i | ||||
\(952\) | −0.976058 | + | 1.20533i | −0.0316342 | + | 0.0390650i | ||||
\(953\) | 7.33861 | − | 46.3342i | 0.237721 | − | 1.50091i | −0.523280 | − | 0.852161i | \(-0.675292\pi\) |
0.761001 | − | 0.648751i | \(-0.224708\pi\) | |||||||
\(954\) | −0.0793510 | + | 0.754975i | −0.00256908 | + | 0.0244432i | ||||
\(955\) | 0 | 0 | ||||||||
\(956\) | 10.8035 | + | 6.23743i | 0.349412 | + | 0.201733i | ||||
\(957\) | −0.614745 | − | 3.88134i | −0.0198719 | − | 0.125466i | ||||
\(958\) | −2.10212 | + | 0.110167i | −0.0679163 | + | 0.00355934i | ||||
\(959\) | −19.6419 | + | 60.4514i | −0.634269 | + | 1.95208i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −11.5881 | − | 28.7527i | −0.373811 | − | 0.927505i | ||||
\(962\) | −0.221106 | + | 0.221106i | −0.00712875 | + | 0.00712875i | ||||
\(963\) | −19.2442 | + | 9.80543i | −0.620137 | + | 0.315976i | ||||
\(964\) | 29.3441 | − | 32.5899i | 0.945108 | − | 1.04965i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | 0.796830 | − | 1.38015i | 0.0256376 | − | 0.0444056i | ||||
\(967\) | −4.72727 | + | 17.6424i | −0.152019 | + | 0.567342i | 0.847323 | + | 0.531077i | \(0.178213\pi\) |
−0.999342 | + | 0.0362647i | \(0.988454\pi\) | |||||||
\(968\) | 1.77947 | − | 1.44098i | 0.0571942 | − | 0.0463150i | ||||
\(969\) | −7.81920 | − | 10.7622i | −0.251189 | − | 0.345732i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 2.67405 | + | 2.96984i | 0.0858145 | + | 0.0953066i | 0.784523 | − | 0.620100i | \(-0.212908\pi\) |
−0.698708 | + | 0.715407i | \(0.746241\pi\) | |||||||
\(972\) | −28.7614 | − | 11.0405i | −0.922521 | − | 0.354123i | ||||
\(973\) | 8.90783 | − | 13.7169i | 0.285572 | − | 0.439742i | ||||
\(974\) | −0.465197 | − | 0.0988806i | −0.0149059 | − | 0.00316834i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −34.7759 | + | 11.2994i | −1.11315 | + | 0.361685i | ||||
\(977\) | 38.7586 | + | 19.7485i | 1.24000 | + | 0.631811i | 0.946053 | − | 0.324011i | \(-0.105031\pi\) |
0.293946 | + | 0.955822i | \(0.405031\pi\) | |||||||
\(978\) | 0.164128 | − | 0.0630029i | 0.00524824 | − | 0.00201461i | ||||
\(979\) | −4.76432 | + | 22.4144i | −0.152268 | + | 0.716367i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 3.31699 | − | 1.47682i | 0.105903 | − | 0.0471512i | ||||
\(982\) | 0.0419634 | − | 0.800710i | 0.00133911 | − | 0.0255517i | ||||
\(983\) | −42.5077 | − | 34.4221i | −1.35579 | − | 1.09789i | −0.985629 | − | 0.168925i | \(-0.945971\pi\) |
−0.370157 | − | 0.928969i | \(-0.620696\pi\) | |||||||
\(984\) | 2.51647 | − | 1.82832i | 0.0802222 | − | 0.0582848i | ||||
\(985\) | 0 | 0 | ||||||||
\(986\) | 0.0510303 | + | 0.0883871i | 0.00162514 | + | 0.00281482i | ||||
\(987\) | −34.5095 | + | 9.24681i | −1.09845 | + | 0.294329i | ||||
\(988\) | 54.0793 | − | 8.56531i | 1.72049 | − | 0.272499i | ||||
\(989\) | 44.9408 | + | 40.4649i | 1.42903 | + | 1.28671i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 56.3648i | 1.79049i | 0.445577 | + | 0.895244i | \(0.352999\pi\) | ||||
−0.445577 | + | 0.895244i | \(0.647001\pi\) | |||||||
\(992\) | −0.899310 | − | 4.63717i | −0.0285531 | − | 0.147230i | ||||
\(993\) | 4.27699 | + | 4.27699i | 0.135726 | + | 0.135726i | ||||
\(994\) | 0.387983 | + | 0.126063i | 0.0123061 | + | 0.00399849i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | −4.92134 | − | 3.57556i | −0.155939 | − | 0.113296i | ||||
\(997\) | −13.7298 | − | 51.2402i | −0.434826 | − | 1.62279i | −0.741482 | − | 0.670973i | \(-0.765877\pi\) |
0.306655 | − | 0.951821i | \(-0.400790\pi\) | |||||||
\(998\) | 0.632873 | + | 0.169578i | 0.0200332 | + | 0.00536789i | ||||
\(999\) | −5.87884 | − | 0.617891i | −0.185998 | − | 0.0195492i |
(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 | 775.2.df.b.668.7 | 224 | ||
5.2 | odd | 4 | inner | 775.2.df.b.482.8 | 224 | ||
5.3 | odd | 4 | 155.2.x.a.17.7 | ✓ | 224 | ||
5.4 | even | 2 | 155.2.x.a.48.8 | yes | 224 | ||
31.11 | odd | 30 | inner | 775.2.df.b.693.8 | 224 | ||
155.42 | even | 60 | inner | 775.2.df.b.507.7 | 224 | ||
155.73 | even | 60 | 155.2.x.a.42.8 | yes | 224 | ||
155.104 | odd | 30 | 155.2.x.a.73.7 | yes | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
155.2.x.a.17.7 | ✓ | 224 | 5.3 | odd | 4 | ||
155.2.x.a.42.8 | yes | 224 | 155.73 | even | 60 | ||
155.2.x.a.48.8 | yes | 224 | 5.4 | even | 2 | ||
155.2.x.a.73.7 | yes | 224 | 155.104 | odd | 30 | ||
775.2.df.b.482.8 | 224 | 5.2 | odd | 4 | inner | ||
775.2.df.b.507.7 | 224 | 155.42 | even | 60 | inner | ||
775.2.df.b.668.7 | 224 | 1.1 | even | 1 | trivial | ||
775.2.df.b.693.8 | 224 | 31.11 | odd | 30 | inner |