Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [260,2,Mod(103,260)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(260, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 3, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("260.103");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 260 = 2^{2} \cdot 5 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 260.p (of order \(4\), degree \(2\), 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: | \(2.07611045255\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(32\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 103.19 | ||
Character | \(\chi\) | \(=\) | 260.103 |
Dual form | 260.2.p.d.207.19 |
$q$-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 \(\left(\mathbb{Z}/260\mathbb{Z}\right)^\times\).
\(n\) | \(41\) | \(131\) | \(157\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{3}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.417327 | − | 1.35124i | 0.295094 | − | 0.955468i | ||||
\(3\) | −0.561614 | + | 0.561614i | −0.324248 | + | 0.324248i | −0.850394 | − | 0.526146i | \(-0.823637\pi\) |
0.526146 | + | 0.850394i | \(0.323637\pi\) | |||||||
\(4\) | −1.65168 | − | 1.12781i | −0.825838 | − | 0.563907i | ||||
\(5\) | −2.09189 | + | 0.789927i | −0.935523 | + | 0.353266i | ||||
\(6\) | 0.524497 | + | 0.993250i | 0.214125 | + | 0.405493i | ||||
\(7\) | −1.48711 | + | 1.48711i | −0.562075 | + | 0.562075i | −0.929896 | − | 0.367822i | \(-0.880104\pi\) |
0.367822 | + | 0.929896i | \(0.380104\pi\) | |||||||
\(8\) | −2.21323 | + | 1.76114i | −0.782495 | + | 0.622657i | ||||
\(9\) | 2.36918i | 0.789726i | ||||||||
\(10\) | 0.194375 | + | 3.15630i | 0.0614668 | + | 0.998109i | ||||
\(11\) | −5.21705 | −1.57300 | −0.786499 | − | 0.617591i | \(-0.788109\pi\) | ||||
−0.786499 | + | 0.617591i | \(0.788109\pi\) | |||||||
\(12\) | 1.56100 | − | 0.294209i | 0.450622 | − | 0.0849309i | ||||
\(13\) | 1.57435 | − | 3.24368i | 0.436645 | − | 0.899634i | ||||
\(14\) | 1.38883 | + | 2.63005i | 0.371179 | + | 0.702909i | ||||
\(15\) | 0.731203 | − | 1.61847i | 0.188796 | − | 0.417887i | ||||
\(16\) | 1.45607 | + | 3.72557i | 0.364018 | + | 0.931392i | ||||
\(17\) | 0.793724 | − | 0.793724i | 0.192506 | − | 0.192506i | −0.604272 | − | 0.796778i | \(-0.706536\pi\) |
0.796778 | + | 0.604272i | \(0.206536\pi\) | |||||||
\(18\) | 3.20132 | + | 0.988721i | 0.754558 | + | 0.233044i | ||||
\(19\) | 0.101632i | 0.0233160i | 0.999932 | + | 0.0116580i | \(0.00371094\pi\) | ||||
−0.999932 | + | 0.0116580i | \(0.996289\pi\) | |||||||
\(20\) | 4.34602 | + | 1.05456i | 0.971800 | + | 0.235807i | ||||
\(21\) | − | 1.67036i | − | 0.364503i | ||||||
\(22\) | −2.17721 | + | 7.04946i | −0.464183 | + | 1.50295i | ||||
\(23\) | −2.99025 | + | 2.99025i | −0.623511 | + | 0.623511i | −0.946428 | − | 0.322916i | \(-0.895337\pi\) |
0.322916 | + | 0.946428i | \(0.395337\pi\) | |||||||
\(24\) | 0.253901 | − | 2.23206i | 0.0518274 | − | 0.455618i | ||||
\(25\) | 3.75203 | − | 3.30488i | 0.750406 | − | 0.660977i | ||||
\(26\) | −3.72595 | − | 3.48099i | −0.730720 | − | 0.682678i | ||||
\(27\) | −3.01541 | − | 3.01541i | −0.580315 | − | 0.580315i | ||||
\(28\) | 4.13341 | − | 0.779042i | 0.781141 | − | 0.147225i | ||||
\(29\) | 3.15871i | 0.586558i | 0.956027 | + | 0.293279i | \(0.0947465\pi\) | ||||
−0.956027 | + | 0.293279i | \(0.905254\pi\) | |||||||
\(30\) | −1.88179 | − | 1.66346i | −0.343566 | − | 0.303705i | ||||
\(31\) | −5.55833 | −0.998305 | −0.499152 | − | 0.866514i | \(-0.666355\pi\) | ||||
−0.499152 | + | 0.866514i | \(0.666355\pi\) | |||||||
\(32\) | 5.64178 | − | 0.412721i | 0.997335 | − | 0.0729594i | ||||
\(33\) | 2.92997 | − | 2.92997i | 0.510042 | − | 0.510042i | ||||
\(34\) | −0.741267 | − | 1.40375i | −0.127126 | − | 0.240741i | ||||
\(35\) | 1.93617 | − | 4.28558i | 0.327272 | − | 0.724396i | ||||
\(36\) | 2.67199 | − | 3.91312i | 0.445332 | − | 0.652186i | ||||
\(37\) | −3.25224 | − | 3.25224i | −0.534665 | − | 0.534665i | 0.387292 | − | 0.921957i | \(-0.373411\pi\) |
−0.921957 | + | 0.387292i | \(0.873411\pi\) | |||||||
\(38\) | 0.137329 | + | 0.0424138i | 0.0222777 | + | 0.00688042i | ||||
\(39\) | 0.937519 | + | 2.70587i | 0.150123 | + | 0.433286i | ||||
\(40\) | 3.23867 | − | 5.43240i | 0.512079 | − | 0.858938i | ||||
\(41\) | 6.47910i | 1.01187i | 0.862573 | + | 0.505933i | \(0.168852\pi\) | ||||
−0.862573 | + | 0.505933i | \(0.831148\pi\) | |||||||
\(42\) | −2.25706 | − | 0.697087i | −0.348271 | − | 0.107563i | ||||
\(43\) | 2.45533 | − | 2.45533i | 0.374435 | − | 0.374435i | −0.494655 | − | 0.869090i | \(-0.664705\pi\) |
0.869090 | + | 0.494655i | \(0.164705\pi\) | |||||||
\(44\) | 8.61688 | + | 5.88386i | 1.29904 | + | 0.887025i | ||||
\(45\) | −1.87148 | − | 4.95607i | −0.278983 | − | 0.738807i | ||||
\(46\) | 2.79263 | + | 5.28845i | 0.411750 | + | 0.779740i | ||||
\(47\) | 3.39043 | − | 3.39043i | 0.494545 | − | 0.494545i | −0.415190 | − | 0.909735i | \(-0.636285\pi\) |
0.909735 | + | 0.415190i | \(0.136285\pi\) | |||||||
\(48\) | −2.91008 | − | 1.27458i | −0.420034 | − | 0.183970i | ||||
\(49\) | 2.57701i | 0.368144i | ||||||||
\(50\) | −2.89986 | − | 6.44910i | −0.410102 | − | 0.912040i | ||||
\(51\) | 0.891534i | 0.124840i | ||||||||
\(52\) | −6.25857 | + | 3.58193i | −0.867908 | + | 0.496725i | ||||
\(53\) | −6.94382 | − | 6.94382i | −0.953807 | − | 0.953807i | 0.0451723 | − | 0.998979i | \(-0.485616\pi\) |
−0.998979 | + | 0.0451723i | \(0.985616\pi\) | |||||||
\(54\) | −5.33294 | + | 2.81612i | −0.725721 | + | 0.383225i | ||||
\(55\) | 10.9135 | − | 4.12109i | 1.47158 | − | 0.555687i | ||||
\(56\) | 0.672311 | − | 5.91032i | 0.0898413 | − | 0.789800i | ||||
\(57\) | −0.0570780 | − | 0.0570780i | −0.00756017 | − | 0.00756017i | ||||
\(58\) | 4.26816 | + | 1.31821i | 0.560437 | + | 0.173090i | ||||
\(59\) | 10.5517i | 1.37372i | 0.726789 | + | 0.686860i | \(0.241012\pi\) | ||||
−0.726789 | + | 0.686860i | \(0.758988\pi\) | |||||||
\(60\) | −3.03304 | + | 1.84853i | −0.391564 | + | 0.238644i | ||||
\(61\) | −1.49686 | −0.191653 | −0.0958264 | − | 0.995398i | \(-0.530549\pi\) | ||||
−0.0958264 | + | 0.995398i | \(0.530549\pi\) | |||||||
\(62\) | −2.31964 | + | 7.51061i | −0.294594 | + | 0.953848i | ||||
\(63\) | −3.52323 | − | 3.52323i | −0.443885 | − | 0.443885i | ||||
\(64\) | 1.79678 | − | 7.79561i | 0.224598 | − | 0.974452i | ||||
\(65\) | −0.731099 | + | 8.02904i | −0.0906816 | + | 0.995880i | ||||
\(66\) | −2.73632 | − | 5.18183i | −0.336818 | − | 0.637840i | ||||
\(67\) | 6.37568 | − | 6.37568i | 0.778914 | − | 0.778914i | −0.200732 | − | 0.979646i | \(-0.564332\pi\) |
0.979646 | + | 0.200732i | \(0.0643322\pi\) | |||||||
\(68\) | −2.20615 | + | 0.415803i | −0.267535 | + | 0.0504236i | ||||
\(69\) | − | 3.35874i | − | 0.404345i | ||||||
\(70\) | −4.98282 | − | 4.40470i | −0.595561 | − | 0.526463i | ||||
\(71\) | 1.73544 | 0.205959 | 0.102979 | − | 0.994683i | \(-0.467162\pi\) | ||||
0.102979 | + | 0.994683i | \(0.467162\pi\) | |||||||
\(72\) | −4.17245 | − | 5.24354i | −0.491728 | − | 0.617957i | ||||
\(73\) | −5.87285 | + | 5.87285i | −0.687366 | + | 0.687366i | −0.961649 | − | 0.274283i | \(-0.911559\pi\) |
0.274283 | + | 0.961649i | \(0.411559\pi\) | |||||||
\(74\) | −5.75179 | + | 3.03730i | −0.668632 | + | 0.353079i | ||||
\(75\) | −0.251124 | + | 3.96327i | −0.0289973 | + | 0.457638i | ||||
\(76\) | 0.114622 | − | 0.167863i | 0.0131480 | − | 0.0192552i | ||||
\(77\) | 7.75832 | − | 7.75832i | 0.884143 | − | 0.884143i | ||||
\(78\) | 4.04752 | − | 0.137577i | 0.458292 | − | 0.0155776i | ||||
\(79\) | −1.43236 | −0.161153 | −0.0805767 | − | 0.996748i | \(-0.525676\pi\) | ||||
−0.0805767 | + | 0.996748i | \(0.525676\pi\) | |||||||
\(80\) | −5.98888 | − | 6.64330i | −0.669577 | − | 0.742743i | ||||
\(81\) | −3.72054 | −0.413394 | ||||||||
\(82\) | 8.75480 | + | 2.70390i | 0.966806 | + | 0.298596i | ||||
\(83\) | 10.2973 | + | 10.2973i | 1.13028 | + | 1.13028i | 0.990131 | + | 0.140144i | \(0.0447565\pi\) |
0.140144 | + | 0.990131i | \(0.455243\pi\) | |||||||
\(84\) | −1.88386 | + | 2.75890i | −0.205546 | + | 0.301021i | ||||
\(85\) | −1.03340 | + | 2.28737i | −0.112088 | + | 0.248100i | ||||
\(86\) | −2.29306 | − | 4.34241i | −0.247267 | − | 0.468254i | ||||
\(87\) | −1.77398 | − | 1.77398i | −0.190190 | − | 0.190190i | ||||
\(88\) | 11.5465 | − | 9.18794i | 1.23086 | − | 0.979438i | ||||
\(89\) | −6.49614 | −0.688589 | −0.344295 | − | 0.938862i | \(-0.611882\pi\) | ||||
−0.344295 | + | 0.938862i | \(0.611882\pi\) | |||||||
\(90\) | −7.47783 | + | 0.460509i | −0.788233 | + | 0.0485419i | ||||
\(91\) | 2.48247 | + | 7.16493i | 0.260234 | + | 0.751089i | ||||
\(92\) | 8.31138 | − | 1.56649i | 0.866522 | − | 0.163317i | ||||
\(93\) | 3.12164 | − | 3.12164i | 0.323699 | − | 0.323699i | ||||
\(94\) | −3.16635 | − | 5.99618i | −0.326584 | − | 0.618459i | ||||
\(95\) | −0.0802819 | − | 0.212603i | −0.00823675 | − | 0.0218126i | ||||
\(96\) | −2.93671 | + | 3.40029i | −0.299727 | + | 0.347041i | ||||
\(97\) | 6.63009 | + | 6.63009i | 0.673184 | + | 0.673184i | 0.958449 | − | 0.285265i | \(-0.0920816\pi\) |
−0.285265 | + | 0.958449i | \(0.592082\pi\) | |||||||
\(98\) | 3.48215 | + | 1.07545i | 0.351750 | + | 0.108637i | ||||
\(99\) | − | 12.3601i | − | 1.24224i | ||||||
\(100\) | −9.92444 | + | 1.22701i | −0.992444 | + | 0.122701i | ||||
\(101\) | −18.8956 | −1.88018 | −0.940092 | − | 0.340920i | \(-0.889262\pi\) | ||||
−0.940092 | + | 0.340920i | \(0.889262\pi\) | |||||||
\(102\) | 1.20467 | + | 0.372061i | 0.119280 | + | 0.0368395i | ||||
\(103\) | −7.95014 | + | 7.95014i | −0.783351 | + | 0.783351i | −0.980395 | − | 0.197044i | \(-0.936866\pi\) |
0.197044 | + | 0.980395i | \(0.436866\pi\) | |||||||
\(104\) | 2.22817 | + | 9.95165i | 0.218490 | + | 0.975839i | ||||
\(105\) | 1.31947 | + | 3.49422i | 0.128767 | + | 0.341001i | ||||
\(106\) | −12.2806 | + | 6.48490i | −1.19280 | + | 0.629869i | ||||
\(107\) | −13.3326 | − | 13.3326i | −1.28891 | − | 1.28891i | −0.935448 | − | 0.353463i | \(-0.885004\pi\) |
−0.353463 | − | 0.935448i | \(-0.614996\pi\) | |||||||
\(108\) | 1.57966 | + | 8.38130i | 0.152003 | + | 0.806491i | ||||
\(109\) | 17.2986 | 1.65690 | 0.828451 | − | 0.560062i | \(-0.189223\pi\) | ||||
0.828451 | + | 0.560062i | \(0.189223\pi\) | |||||||
\(110\) | −1.01406 | − | 16.4666i | −0.0966872 | − | 1.57002i | ||||
\(111\) | 3.65301 | 0.346728 | ||||||||
\(112\) | −7.70567 | − | 3.37499i | −0.728117 | − | 0.318906i | ||||
\(113\) | 11.9985 | + | 11.9985i | 1.12872 | + | 1.12872i | 0.990386 | + | 0.138334i | \(0.0441746\pi\) |
0.138334 | + | 0.990386i | \(0.455825\pi\) | |||||||
\(114\) | −0.100946 | + | 0.0533057i | −0.00945446 | + | 0.00499254i | ||||
\(115\) | 3.89321 | − | 8.61737i | 0.363044 | − | 0.803574i | ||||
\(116\) | 3.56244 | − | 5.21717i | 0.330764 | − | 0.484402i | ||||
\(117\) | 7.68485 | + | 3.72991i | 0.710464 | + | 0.344830i | ||||
\(118\) | 14.2579 | + | 4.40353i | 1.31255 | + | 0.405377i | ||||
\(119\) | 2.36071i | 0.216406i | ||||||||
\(120\) | 1.23203 | + | 4.86980i | 0.112469 | + | 0.444550i | ||||
\(121\) | 16.2176 | 1.47433 | ||||||||
\(122\) | −0.624678 | + | 2.02261i | −0.0565557 | + | 0.183118i | ||||
\(123\) | −3.63876 | − | 3.63876i | −0.328096 | − | 0.328096i | ||||
\(124\) | 9.18056 | + | 6.26875i | 0.824439 | + | 0.562951i | ||||
\(125\) | −5.23823 | + | 9.87729i | −0.468521 | + | 0.883452i | ||||
\(126\) | −6.23105 | + | 3.29038i | −0.555106 | + | 0.293130i | ||||
\(127\) | 4.63191 | + | 4.63191i | 0.411016 | + | 0.411016i | 0.882092 | − | 0.471077i | \(-0.156134\pi\) |
−0.471077 | + | 0.882092i | \(0.656134\pi\) | |||||||
\(128\) | −9.78387 | − | 5.68119i | −0.864780 | − | 0.502151i | ||||
\(129\) | 2.75790i | 0.242820i | ||||||||
\(130\) | 10.5440 | + | 4.33862i | 0.924772 | + | 0.380522i | ||||
\(131\) | 20.8492i | 1.82161i | 0.412840 | + | 0.910804i | \(0.364537\pi\) | ||||
−0.412840 | + | 0.910804i | \(0.635463\pi\) | |||||||
\(132\) | −8.14382 | + | 1.53490i | −0.708829 | + | 0.133596i | ||||
\(133\) | −0.151138 | − | 0.151138i | −0.0131053 | − | 0.0131053i | ||||
\(134\) | −5.95431 | − | 11.2758i | −0.514374 | − | 0.974080i | ||||
\(135\) | 8.68986 | + | 3.92596i | 0.747904 | + | 0.337893i | ||||
\(136\) | −0.358837 | + | 3.15455i | −0.0307700 | + | 0.270501i | ||||
\(137\) | 0.119502 | + | 0.119502i | 0.0102097 | + | 0.0102097i | 0.712193 | − | 0.701983i | \(-0.247702\pi\) |
−0.701983 | + | 0.712193i | \(0.747702\pi\) | |||||||
\(138\) | −4.53845 | − | 1.40169i | −0.386338 | − | 0.119320i | ||||
\(139\) | 20.1901 | 1.71250 | 0.856252 | − | 0.516559i | \(-0.172787\pi\) | ||||
0.856252 | + | 0.516559i | \(0.172787\pi\) | |||||||
\(140\) | −8.03126 | + | 4.89476i | −0.678765 | + | 0.413683i | ||||
\(141\) | 3.80823i | 0.320710i | ||||||||
\(142\) | 0.724245 | − | 2.34499i | 0.0607773 | − | 0.196787i | ||||
\(143\) | −8.21344 | + | 16.9224i | −0.686843 | + | 1.41512i | ||||
\(144\) | −8.82653 | + | 3.44970i | −0.735544 | + | 0.287475i | ||||
\(145\) | −2.49515 | − | 6.60769i | −0.207211 | − | 0.548738i | ||||
\(146\) | 5.48471 | + | 10.3865i | 0.453918 | + | 0.859594i | ||||
\(147\) | −1.44729 | − | 1.44729i | −0.119370 | − | 0.119370i | ||||
\(148\) | 1.70373 | + | 9.03957i | 0.140046 | + | 0.743048i | ||||
\(149\) | −9.51723 | −0.779682 | −0.389841 | − | 0.920882i | \(-0.627470\pi\) | ||||
−0.389841 | + | 0.920882i | \(0.627470\pi\) | |||||||
\(150\) | 5.25051 | + | 1.99330i | 0.428702 | + | 0.162753i | ||||
\(151\) | −3.70969 | −0.301890 | −0.150945 | − | 0.988542i | \(-0.548232\pi\) | ||||
−0.150945 | + | 0.988542i | \(0.548232\pi\) | |||||||
\(152\) | −0.178988 | − | 0.224935i | −0.0145179 | − | 0.0182447i | ||||
\(153\) | 1.88048 | + | 1.88048i | 0.152027 | + | 0.152027i | ||||
\(154\) | −7.24557 | − | 13.7211i | −0.583865 | − | 1.10568i | ||||
\(155\) | 11.6274 | − | 4.39067i | 0.933937 | − | 0.352667i | ||||
\(156\) | 1.50324 | − | 5.52657i | 0.120355 | − | 0.442480i | ||||
\(157\) | −2.55204 | + | 2.55204i | −0.203675 | + | 0.203675i | −0.801573 | − | 0.597898i | \(-0.796003\pi\) |
0.597898 | + | 0.801573i | \(0.296003\pi\) | |||||||
\(158\) | −0.597763 | + | 1.93546i | −0.0475555 | + | 0.153977i | ||||
\(159\) | 7.79950 | 0.618540 | ||||||||
\(160\) | −11.4760 | + | 5.31996i | −0.907256 | + | 0.420580i | ||||
\(161\) | − | 8.89367i | − | 0.700920i | ||||||
\(162\) | −1.55268 | + | 5.02733i | −0.121990 | + | 0.394985i | ||||
\(163\) | −3.79158 | − | 3.79158i | −0.296979 | − | 0.296979i | 0.542850 | − | 0.839830i | \(-0.317345\pi\) |
−0.839830 | + | 0.542850i | \(0.817345\pi\) | |||||||
\(164\) | 7.30722 | − | 10.7014i | 0.570598 | − | 0.835638i | ||||
\(165\) | −3.81472 | + | 8.44364i | −0.296975 | + | 0.657337i | ||||
\(166\) | 18.2114 | − | 9.61674i | 1.41348 | − | 0.746404i | ||||
\(167\) | 8.86404 | − | 8.86404i | 0.685920 | − | 0.685920i | −0.275408 | − | 0.961328i | \(-0.588813\pi\) |
0.961328 | + | 0.275408i | \(0.0888128\pi\) | |||||||
\(168\) | 2.94174 | + | 3.69690i | 0.226960 | + | 0.285222i | ||||
\(169\) | −8.04286 | − | 10.2133i | −0.618682 | − | 0.785642i | ||||
\(170\) | 2.65951 | + | 2.35095i | 0.203975 | + | 0.180310i | ||||
\(171\) | −0.240784 | −0.0184132 | ||||||||
\(172\) | −6.82458 | + | 1.28626i | −0.520369 | + | 0.0980764i | ||||
\(173\) | −8.52255 | − | 8.52255i | −0.647958 | − | 0.647958i | 0.304541 | − | 0.952499i | \(-0.401497\pi\) |
−0.952499 | + | 0.304541i | \(0.901497\pi\) | |||||||
\(174\) | −3.13739 | + | 1.65673i | −0.237845 | + | 0.125597i | ||||
\(175\) | −0.664955 | + | 10.4944i | −0.0502659 | + | 0.793303i | ||||
\(176\) | −7.59640 | − | 19.4365i | −0.572601 | − | 1.46508i | ||||
\(177\) | −5.92601 | − | 5.92601i | −0.445426 | − | 0.445426i | ||||
\(178\) | −2.71101 | + | 8.77782i | −0.203199 | + | 0.657925i | ||||
\(179\) | −19.5455 | −1.46090 | −0.730449 | − | 0.682967i | \(-0.760689\pi\) | ||||
−0.730449 | + | 0.682967i | \(0.760689\pi\) | |||||||
\(180\) | −2.49844 | + | 10.2965i | −0.186223 | + | 0.767456i | ||||
\(181\) | −11.2087 | −0.833132 | −0.416566 | − | 0.909105i | \(-0.636767\pi\) | ||||
−0.416566 | + | 0.909105i | \(0.636767\pi\) | |||||||
\(182\) | 10.7175 | − | 0.364294i | 0.794435 | − | 0.0270032i | ||||
\(183\) | 0.840656 | − | 0.840656i | 0.0621431 | − | 0.0621431i | ||||
\(184\) | 1.35187 | − | 11.8844i | 0.0996612 | − | 0.876128i | ||||
\(185\) | 9.37237 | + | 4.23431i | 0.689070 | + | 0.311312i | ||||
\(186\) | −2.91532 | − | 5.52081i | −0.213762 | − | 0.404805i | ||||
\(187\) | −4.14090 | + | 4.14090i | −0.302812 | + | 0.302812i | ||||
\(188\) | −9.42366 | + | 1.77612i | −0.687291 | + | 0.129537i | ||||
\(189\) | 8.96848 | 0.652361 | ||||||||
\(190\) | −0.320781 | + | 0.0197547i | −0.0232719 | + | 0.00143316i | ||||
\(191\) | − | 14.4302i | − | 1.04414i | −0.852904 | − | 0.522068i | \(-0.825161\pi\) | ||
0.852904 | − | 0.522068i | \(-0.174839\pi\) | |||||||
\(192\) | 3.36903 | + | 5.38723i | 0.243139 | + | 0.388790i | ||||
\(193\) | −7.31079 | + | 7.31079i | −0.526242 | + | 0.526242i | −0.919450 | − | 0.393207i | \(-0.871365\pi\) |
0.393207 | + | 0.919450i | \(0.371365\pi\) | |||||||
\(194\) | 11.7257 | − | 6.19190i | 0.841858 | − | 0.444553i | ||||
\(195\) | −4.09863 | − | 4.91982i | −0.293509 | − | 0.352316i | ||||
\(196\) | 2.90639 | − | 4.25639i | 0.207599 | − | 0.304028i | ||||
\(197\) | −4.58324 | − | 4.58324i | −0.326542 | − | 0.326542i | 0.524728 | − | 0.851270i | \(-0.324167\pi\) |
−0.851270 | + | 0.524728i | \(0.824167\pi\) | |||||||
\(198\) | −16.7014 | − | 5.15821i | −1.18692 | − | 0.366578i | ||||
\(199\) | 1.85757 | 0.131680 | 0.0658398 | − | 0.997830i | \(-0.479027\pi\) | ||||
0.0658398 | + | 0.997830i | \(0.479027\pi\) | |||||||
\(200\) | −2.48375 | + | 13.9223i | −0.175628 | + | 0.984457i | ||||
\(201\) | 7.16135i | 0.505123i | ||||||||
\(202\) | −7.88565 | + | 25.5324i | −0.554832 | + | 1.79646i | ||||
\(203\) | −4.69735 | − | 4.69735i | −0.329689 | − | 0.329689i | ||||
\(204\) | 1.00548 | − | 1.47253i | 0.0703980 | − | 0.103097i | ||||
\(205\) | −5.11802 | − | 13.5536i | −0.357458 | − | 0.946624i | ||||
\(206\) | 7.42471 | + | 14.0603i | 0.517304 | + | 0.979629i | ||||
\(207\) | −7.08445 | − | 7.08445i | −0.492403 | − | 0.492403i | ||||
\(208\) | 14.3769 | + | 1.14231i | 0.996858 | + | 0.0792046i | ||||
\(209\) | − | 0.530219i | − | 0.0366760i | ||||||
\(210\) | 5.27217 | − | 0.324677i | 0.363814 | − | 0.0224048i | ||||
\(211\) | − | 4.26614i | − | 0.293694i | −0.989159 | − | 0.146847i | \(-0.953088\pi\) | ||
0.989159 | − | 0.146847i | \(-0.0469124\pi\) | |||||||
\(212\) | 3.63761 | + | 19.3003i | 0.249832 | + | 1.32555i | ||||
\(213\) | −0.974647 | + | 0.974647i | −0.0667817 | + | 0.0667817i | ||||
\(214\) | −23.5795 | + | 12.4514i | −1.61186 | + | 0.851163i | ||||
\(215\) | −3.19676 | + | 7.07583i | −0.218017 | + | 0.482568i | ||||
\(216\) | 11.9843 | + | 1.36324i | 0.815431 | + | 0.0927569i | ||||
\(217\) | 8.26584 | − | 8.26584i | 0.561122 | − | 0.561122i | ||||
\(218\) | 7.21915 | − | 23.3744i | 0.488943 | − | 1.58312i | ||||
\(219\) | − | 6.59656i | − | 0.445754i | ||||||
\(220\) | −22.6734 | − | 5.50169i | −1.52864 | − | 0.370924i | ||||
\(221\) | −1.32499 | − | 3.82418i | −0.0891283 | − | 0.257242i | ||||
\(222\) | 1.52450 | − | 4.93608i | 0.102318 | − | 0.331288i | ||||
\(223\) | −12.0709 | − | 12.0709i | −0.808329 | − | 0.808329i | 0.176052 | − | 0.984381i | \(-0.443667\pi\) |
−0.984381 | + | 0.176052i | \(0.943667\pi\) | |||||||
\(224\) | −7.77618 | + | 9.00370i | −0.519568 | + | 0.601585i | ||||
\(225\) | 7.82986 | + | 8.88923i | 0.521991 | + | 0.592615i | ||||
\(226\) | 21.2200 | − | 11.2055i | 1.41153 | − | 0.745376i | ||||
\(227\) | −9.70954 | + | 9.70954i | −0.644445 | + | 0.644445i | −0.951645 | − | 0.307200i | \(-0.900608\pi\) |
0.307200 | + | 0.951645i | \(0.400608\pi\) | |||||||
\(228\) | 0.0299011 | + | 0.158648i | 0.00198025 | + | 0.0105067i | ||||
\(229\) | 9.74332 | 0.643856 | 0.321928 | − | 0.946764i | \(-0.395669\pi\) | ||||
0.321928 | + | 0.946764i | \(0.395669\pi\) | |||||||
\(230\) | −10.0194 | − | 8.85690i | −0.660657 | − | 0.584007i | ||||
\(231\) | 8.71437i | 0.573363i | ||||||||
\(232\) | −5.56293 | − | 6.99096i | −0.365224 | − | 0.458979i | ||||
\(233\) | 2.40053 | + | 2.40053i | 0.157264 | + | 0.157264i | 0.781353 | − | 0.624089i | \(-0.214530\pi\) |
−0.624089 | + | 0.781353i | \(0.714530\pi\) | |||||||
\(234\) | 8.24708 | − | 8.82745i | 0.539128 | − | 0.577069i | ||||
\(235\) | −4.41422 | + | 9.77060i | −0.287952 | + | 0.637364i | ||||
\(236\) | 11.9004 | − | 17.4281i | 0.774650 | − | 1.13447i | ||||
\(237\) | 0.804435 | − | 0.804435i | 0.0522537 | − | 0.0522537i | ||||
\(238\) | 3.18988 | + | 0.985187i | 0.206769 | + | 0.0638602i | ||||
\(239\) | 14.8314i | 0.959363i | 0.877443 | + | 0.479682i | \(0.159248\pi\) | ||||
−0.877443 | + | 0.479682i | \(0.840752\pi\) | |||||||
\(240\) | 7.09441 | + | 0.367532i | 0.457942 | + | 0.0237241i | ||||
\(241\) | − | 9.39857i | − | 0.605415i | −0.953083 | − | 0.302708i | \(-0.902109\pi\) | ||
0.953083 | − | 0.302708i | \(-0.0978906\pi\) | |||||||
\(242\) | 6.76803 | − | 21.9138i | 0.435065 | − | 1.40867i | ||||
\(243\) | 11.1357 | − | 11.1357i | 0.714358 | − | 0.714358i | ||||
\(244\) | 2.47232 | + | 1.68817i | 0.158274 | + | 0.108074i | ||||
\(245\) | −2.03565 | − | 5.39083i | −0.130053 | − | 0.344407i | ||||
\(246\) | −6.43537 | + | 3.39827i | −0.410304 | + | 0.216666i | ||||
\(247\) | 0.329661 | + | 0.160004i | 0.0209759 | + | 0.0101808i | ||||
\(248\) | 12.3019 | − | 9.78898i | 0.781169 | − | 0.621601i | ||||
\(249\) | −11.5662 | −0.732979 | ||||||||
\(250\) | 11.1605 | + | 11.2001i | 0.705852 | + | 0.708359i | ||||
\(251\) | − | 12.8154i | − | 0.808900i | −0.914560 | − | 0.404450i | \(-0.867463\pi\) | ||
0.914560 | − | 0.404450i | \(-0.132537\pi\) | |||||||
\(252\) | 1.84569 | + | 9.79278i | 0.116268 | + | 0.616887i | ||||
\(253\) | 15.6003 | − | 15.6003i | 0.980782 | − | 0.980782i | ||||
\(254\) | 8.19182 | − | 4.32578i | 0.514001 | − | 0.271424i | ||||
\(255\) | −0.704247 | − | 1.86499i | −0.0441016 | − | 0.116790i | ||||
\(256\) | −11.7597 | + | 10.8494i | −0.734981 | + | 0.678087i | ||||
\(257\) | 4.63552 | − | 4.63552i | 0.289156 | − | 0.289156i | −0.547591 | − | 0.836746i | \(-0.684455\pi\) |
0.836746 | + | 0.547591i | \(0.184455\pi\) | |||||||
\(258\) | 3.72658 | + | 1.15095i | 0.232006 | + | 0.0716548i | ||||
\(259\) | 9.67288 | 0.601043 | ||||||||
\(260\) | 10.2628 | − | 12.4368i | 0.636472 | − | 0.771300i | ||||
\(261\) | −7.48355 | −0.463220 | ||||||||
\(262\) | 28.1723 | + | 8.70095i | 1.74049 | + | 0.537546i | ||||
\(263\) | 21.0322 | − | 21.0322i | 1.29690 | − | 1.29690i | 0.366472 | − | 0.930429i | \(-0.380565\pi\) |
0.930429 | − | 0.366472i | \(-0.119435\pi\) | |||||||
\(264\) | −1.32462 | + | 11.6448i | −0.0815245 | + | 0.716687i | ||||
\(265\) | 20.0108 | + | 9.04062i | 1.22926 | + | 0.555361i | ||||
\(266\) | −0.267297 | + | 0.141149i | −0.0163890 | + | 0.00865441i | ||||
\(267\) | 3.64833 | − | 3.64833i | 0.223274 | − | 0.223274i | ||||
\(268\) | −17.7212 | + | 3.33999i | −1.08249 | + | 0.204022i | ||||
\(269\) | − | 11.3028i | − | 0.689143i | −0.938760 | − | 0.344572i | \(-0.888024\pi\) | ||
0.938760 | − | 0.344572i | \(-0.111976\pi\) | |||||||
\(270\) | 8.93141 | − | 10.1036i | 0.543548 | − | 0.614888i | ||||
\(271\) | −0.932858 | −0.0566671 | −0.0283335 | − | 0.999599i | \(-0.509020\pi\) | ||||
−0.0283335 | + | 0.999599i | \(0.509020\pi\) | |||||||
\(272\) | 4.11279 | + | 1.80135i | 0.249375 | + | 0.109223i | ||||
\(273\) | −5.41812 | − | 2.62973i | −0.327920 | − | 0.159159i | ||||
\(274\) | 0.211346 | − | 0.111604i | 0.0127679 | − | 0.00674223i | ||||
\(275\) | −19.5745 | + | 17.2417i | −1.18039 | + | 1.03972i | ||||
\(276\) | −3.78803 | + | 5.54755i | −0.228013 | + | 0.333923i | ||||
\(277\) | −15.7265 | + | 15.7265i | −0.944912 | + | 0.944912i | −0.998560 | − | 0.0536481i | \(-0.982915\pi\) |
0.0536481 | + | 0.998560i | \(0.482915\pi\) | |||||||
\(278\) | 8.42587 | − | 27.2816i | 0.505350 | − | 1.63624i | ||||
\(279\) | − | 13.1687i | − | 0.788387i | ||||||
\(280\) | 3.26232 | + | 12.8948i | 0.194961 | + | 0.770614i | ||||
\(281\) | − | 30.0274i | − | 1.79128i | −0.444775 | − | 0.895642i | \(-0.646716\pi\) | ||
0.444775 | − | 0.895642i | \(-0.353284\pi\) | |||||||
\(282\) | 5.14581 | + | 1.58927i | 0.306429 | + | 0.0946399i | ||||
\(283\) | −14.6116 | + | 14.6116i | −0.868570 | + | 0.868570i | −0.992314 | − | 0.123744i | \(-0.960510\pi\) |
0.123744 | + | 0.992314i | \(0.460510\pi\) | |||||||
\(284\) | −2.86638 | − | 1.95725i | −0.170089 | − | 0.116142i | ||||
\(285\) | 0.164489 | + | 0.0743136i | 0.00974346 | + | 0.00440196i | ||||
\(286\) | 19.4385 | + | 18.1605i | 1.14942 | + | 1.07385i | ||||
\(287\) | −9.63514 | − | 9.63514i | −0.568744 | − | 0.568744i | ||||
\(288\) | 0.977809 | + | 13.3664i | 0.0576179 | + | 0.787622i | ||||
\(289\) | 15.7400i | 0.925883i | ||||||||
\(290\) | −9.96983 | + | 0.613975i | −0.585449 | + | 0.0360538i | ||||
\(291\) | −7.44711 | −0.436557 | ||||||||
\(292\) | 16.3235 | − | 3.07657i | 0.955263 | − | 0.180043i | ||||
\(293\) | −8.55742 | + | 8.55742i | −0.499930 | + | 0.499930i | −0.911416 | − | 0.411486i | \(-0.865010\pi\) |
0.411486 | + | 0.911416i | \(0.365010\pi\) | |||||||
\(294\) | −2.55962 | + | 1.35163i | −0.149280 | + | 0.0788289i | ||||
\(295\) | −8.33511 | − | 22.0731i | −0.485289 | − | 1.28515i | ||||
\(296\) | 12.9256 | + | 1.47031i | 0.751286 | + | 0.0854602i | ||||
\(297\) | 15.7315 | + | 15.7315i | 0.912836 | + | 0.912836i | ||||
\(298\) | −3.97179 | + | 12.8600i | −0.230080 | + | 0.744961i | ||||
\(299\) | 4.99172 | + | 14.4071i | 0.288678 | + | 0.833185i | ||||
\(300\) | 4.88460 | − | 6.26281i | 0.282012 | − | 0.361584i | ||||
\(301\) | 7.30270i | 0.420921i | ||||||||
\(302\) | −1.54815 | + | 5.01267i | −0.0890861 | + | 0.288446i | ||||
\(303\) | 10.6121 | − | 10.6121i | 0.609647 | − | 0.609647i | ||||
\(304\) | −0.378637 | + | 0.147984i | −0.0217163 | + | 0.00848745i | ||||
\(305\) | 3.13126 | − | 1.18241i | 0.179296 | − | 0.0677044i | ||||
\(306\) | 3.32574 | − | 1.75619i | 0.190120 | − | 0.100395i | ||||
\(307\) | −13.3065 | + | 13.3065i | −0.759441 | + | 0.759441i | −0.976221 | − | 0.216779i | \(-0.930445\pi\) |
0.216779 | + | 0.976221i | \(0.430445\pi\) | |||||||
\(308\) | −21.5642 | + | 4.06430i | −1.22873 | + | 0.231585i | ||||
\(309\) | − | 8.92983i | − | 0.508000i | ||||||
\(310\) | −1.08040 | − | 17.5437i | −0.0613626 | − | 0.996417i | ||||
\(311\) | 12.3858i | 0.702336i | 0.936313 | + | 0.351168i | \(0.114215\pi\) | ||||
−0.936313 | + | 0.351168i | \(0.885785\pi\) | |||||||
\(312\) | −6.84036 | − | 4.33762i | −0.387259 | − | 0.245569i | ||||
\(313\) | −9.10805 | − | 9.10805i | −0.514817 | − | 0.514817i | 0.401181 | − | 0.915999i | \(-0.368600\pi\) |
−0.915999 | + | 0.401181i | \(0.868600\pi\) | |||||||
\(314\) | 2.38337 | + | 4.51344i | 0.134502 | + | 0.254708i | ||||
\(315\) | 10.1533 | + | 4.58712i | 0.572074 | + | 0.258455i | ||||
\(316\) | 2.36580 | + | 1.61544i | 0.133087 | + | 0.0908755i | ||||
\(317\) | −9.85317 | − | 9.85317i | −0.553409 | − | 0.553409i | 0.374014 | − | 0.927423i | \(-0.377981\pi\) |
−0.927423 | + | 0.374014i | \(0.877981\pi\) | |||||||
\(318\) | 3.25494 | − | 10.5390i | 0.182528 | − | 0.590996i | ||||
\(319\) | − | 16.4791i | − | 0.922655i | ||||||
\(320\) | 2.39929 | + | 17.7269i | 0.134124 | + | 0.990965i | ||||
\(321\) | 14.9756 | 0.835855 | ||||||||
\(322\) | −12.0174 | − | 3.71157i | −0.669706 | − | 0.206838i | ||||
\(323\) | 0.0806678 | + | 0.0806678i | 0.00448848 | + | 0.00448848i | ||||
\(324\) | 6.14514 | + | 4.19608i | 0.341396 | + | 0.233116i | ||||
\(325\) | −4.81298 | − | 17.3734i | −0.266976 | − | 0.963703i | ||||
\(326\) | −6.70564 | + | 3.54099i | −0.371391 | + | 0.196117i | ||||
\(327\) | −9.71512 | + | 9.71512i | −0.537247 | + | 0.537247i | ||||
\(328\) | −11.4106 | − | 14.3398i | −0.630045 | − | 0.791780i | ||||
\(329\) | 10.0839i | 0.555942i | ||||||||
\(330\) | 9.81737 | + | 8.67834i | 0.540428 | + | 0.477727i | ||||
\(331\) | 26.8753 | 1.47720 | 0.738599 | − | 0.674145i | \(-0.235488\pi\) | ||||
0.738599 | + | 0.674145i | \(0.235488\pi\) | |||||||
\(332\) | −5.39438 | − | 28.6212i | −0.296055 | − | 1.57079i | ||||
\(333\) | 7.70514 | − | 7.70514i | 0.422239 | − | 0.422239i | ||||
\(334\) | −8.27821 | − | 15.6766i | −0.452963 | − | 0.857786i | ||||
\(335\) | −8.30092 | + | 18.3736i | −0.453528 | + | 1.00386i | ||||
\(336\) | 6.22305 | − | 2.43217i | 0.339495 | − | 0.132686i | ||||
\(337\) | −11.8914 | + | 11.8914i | −0.647768 | + | 0.647768i | −0.952453 | − | 0.304685i | \(-0.901449\pi\) |
0.304685 | + | 0.952453i | \(0.401449\pi\) | |||||||
\(338\) | −17.1571 | + | 6.60551i | −0.933225 | + | 0.359292i | ||||
\(339\) | −13.4770 | −0.731970 | ||||||||
\(340\) | 4.28657 | − | 2.61251i | 0.232472 | − | 0.141683i | ||||
\(341\) | 28.9980 | 1.57033 | ||||||||
\(342\) | −0.100486 | + | 0.325357i | −0.00543365 | + | 0.0175933i | ||||
\(343\) | −14.2421 | − | 14.2421i | −0.768999 | − | 0.768999i | ||||
\(344\) | −1.11004 | + | 9.75841i | −0.0598492 | + | 0.526138i | ||||
\(345\) | 2.65316 | + | 7.02612i | 0.142841 | + | 0.378274i | ||||
\(346\) | −15.0727 | + | 7.95929i | −0.810312 | + | 0.427894i | ||||
\(347\) | 7.80289 | + | 7.80289i | 0.418881 | + | 0.418881i | 0.884818 | − | 0.465937i | \(-0.154283\pi\) |
−0.465937 | + | 0.884818i | \(0.654283\pi\) | |||||||
\(348\) | 0.929322 | + | 4.93075i | 0.0498169 | + | 0.264316i | ||||
\(349\) | −23.0829 | −1.23560 | −0.617799 | − | 0.786336i | \(-0.711975\pi\) | ||||
−0.617799 | + | 0.786336i | \(0.711975\pi\) | |||||||
\(350\) | 13.9029 | + | 5.27811i | 0.743142 | + | 0.282127i | ||||
\(351\) | −14.5283 | + | 5.03371i | −0.775463 | + | 0.268679i | ||||
\(352\) | −29.4334 | + | 2.15318i | −1.56881 | + | 0.114765i | ||||
\(353\) | −12.4513 | + | 12.4513i | −0.662717 | + | 0.662717i | −0.956020 | − | 0.293303i | \(-0.905246\pi\) |
0.293303 | + | 0.956020i | \(0.405246\pi\) | |||||||
\(354\) | −10.4805 | + | 5.53436i | −0.557034 | + | 0.294148i | ||||
\(355\) | −3.63035 | + | 1.37087i | −0.192679 | + | 0.0727582i | ||||
\(356\) | 10.7295 | + | 7.32643i | 0.568664 | + | 0.388300i | ||||
\(357\) | −1.32581 | − | 1.32581i | −0.0701692 | − | 0.0701692i | ||||
\(358\) | −8.15685 | + | 26.4106i | −0.431103 | + | 1.39584i | ||||
\(359\) | 1.28531i | 0.0678361i | 0.999425 | + | 0.0339181i | \(0.0107985\pi\) | ||||
−0.999425 | + | 0.0339181i | \(0.989201\pi\) | |||||||
\(360\) | 12.8703 | + | 7.67299i | 0.678326 | + | 0.404402i | ||||
\(361\) | 18.9897 | 0.999456 | ||||||||
\(362\) | −4.67767 | + | 15.1455i | −0.245853 | + | 0.796031i | ||||
\(363\) | −9.10803 | + | 9.10803i | −0.478047 | + | 0.478047i | ||||
\(364\) | 3.98046 | − | 14.6339i | 0.208633 | − | 0.767026i | ||||
\(365\) | 7.64626 | − | 16.9245i | 0.400223 | − | 0.885869i | ||||
\(366\) | −0.785096 | − | 1.48675i | −0.0410376 | − | 0.0777138i | ||||
\(367\) | 3.03025 | + | 3.03025i | 0.158178 | + | 0.158178i | 0.781759 | − | 0.623581i | \(-0.214323\pi\) |
−0.623581 | + | 0.781759i | \(0.714323\pi\) | |||||||
\(368\) | −15.4944 | − | 6.78636i | −0.807703 | − | 0.353764i | ||||
\(369\) | −15.3502 | −0.799097 | ||||||||
\(370\) | 9.63289 | − | 10.8972i | 0.500790 | − | 0.566518i | ||||
\(371\) | 20.6524 | 1.07222 | ||||||||
\(372\) | −8.67656 | + | 1.63531i | −0.449858 | + | 0.0847869i | ||||
\(373\) | 12.5458 | + | 12.5458i | 0.649597 | + | 0.649597i | 0.952896 | − | 0.303299i | \(-0.0980879\pi\) |
−0.303299 | + | 0.952896i | \(0.598088\pi\) | |||||||
\(374\) | 3.86722 | + | 7.32344i | 0.199969 | + | 0.378686i | ||||
\(375\) | −2.60537 | − | 8.48910i | −0.134541 | − | 0.438375i | ||||
\(376\) | −1.53279 | + | 13.4748i | −0.0790474 | + | 0.694910i | ||||
\(377\) | 10.2458 | + | 4.97291i | 0.527687 | + | 0.256118i | ||||
\(378\) | 3.74279 | − | 12.1185i | 0.192508 | − | 0.623310i | ||||
\(379\) | − | 19.8910i | − | 1.02173i | −0.859660 | − | 0.510866i | \(-0.829325\pi\) | ||
0.859660 | − | 0.510866i | \(-0.170675\pi\) | |||||||
\(380\) | −0.107177 | + | 0.441695i | −0.00549807 | + | 0.0226585i | ||||
\(381\) | −5.20269 | −0.266542 | ||||||||
\(382\) | −19.4987 | − | 6.02212i | −0.997638 | − | 0.308119i | ||||
\(383\) | −1.94725 | − | 1.94725i | −0.0994996 | − | 0.0994996i | 0.655605 | − | 0.755104i | \(-0.272414\pi\) |
−0.755104 | + | 0.655605i | \(0.772414\pi\) | |||||||
\(384\) | 8.68540 | − | 2.30412i | 0.443225 | − | 0.117582i | ||||
\(385\) | −10.1011 | + | 22.3581i | −0.514798 | + | 1.13947i | ||||
\(386\) | 6.82762 | + | 12.9296i | 0.347517 | + | 0.658099i | ||||
\(387\) | 5.81713 | + | 5.81713i | 0.295701 | + | 0.295701i | ||||
\(388\) | −3.47326 | − | 18.4283i | −0.176328 | − | 0.935554i | ||||
\(389\) | 15.2218i | 0.771778i | 0.922545 | + | 0.385889i | \(0.126105\pi\) | ||||
−0.922545 | + | 0.385889i | \(0.873895\pi\) | |||||||
\(390\) | −8.35830 | + | 3.48504i | −0.423239 | + | 0.176472i | ||||
\(391\) | 4.74688i | 0.240060i | ||||||||
\(392\) | −4.53847 | − | 5.70352i | −0.229227 | − | 0.288071i | ||||
\(393\) | −11.7092 | − | 11.7092i | −0.590653 | − | 0.590653i | ||||
\(394\) | −8.10574 | + | 4.28033i | −0.408361 | + | 0.215640i | ||||
\(395\) | 2.99635 | − | 1.13146i | 0.150763 | − | 0.0569300i | ||||
\(396\) | −13.9399 | + | 20.4149i | −0.700507 | + | 1.02589i | ||||
\(397\) | −6.29063 | − | 6.29063i | −0.315718 | − | 0.315718i | 0.531402 | − | 0.847120i | \(-0.321665\pi\) |
−0.847120 | + | 0.531402i | \(0.821665\pi\) | |||||||
\(398\) | 0.775213 | − | 2.51001i | 0.0388579 | − | 0.125816i | ||||
\(399\) | 0.169763 | 0.00849876 | ||||||||
\(400\) | 17.7758 | + | 9.16629i | 0.888790 | + | 0.458314i | ||||
\(401\) | − | 9.05500i | − | 0.452185i | −0.974106 | − | 0.226093i | \(-0.927405\pi\) | ||
0.974106 | − | 0.226093i | \(-0.0725952\pi\) | |||||||
\(402\) | 9.67667 | + | 2.98862i | 0.482629 | + | 0.149059i | ||||
\(403\) | −8.75073 | + | 18.0294i | −0.435905 | + | 0.898109i | ||||
\(404\) | 31.2095 | + | 21.3107i | 1.55273 | + | 1.06025i | ||||
\(405\) | 7.78298 | − | 2.93896i | 0.386739 | − | 0.146038i | ||||
\(406\) | −8.30756 | + | 4.38690i | −0.412297 | + | 0.217718i | ||||
\(407\) | 16.9671 | + | 16.9671i | 0.841028 | + | 0.841028i | ||||
\(408\) | −1.57012 | − | 1.97317i | −0.0777323 | − | 0.0976865i | ||||
\(409\) | −9.54287 | −0.471865 | −0.235932 | − | 0.971769i | \(-0.575814\pi\) | ||||
−0.235932 | + | 0.971769i | \(0.575814\pi\) | |||||||
\(410\) | −20.4500 | + | 1.25938i | −1.00995 | + | 0.0621961i | ||||
\(411\) | −0.134228 | −0.00662097 | ||||||||
\(412\) | 22.0973 | − | 4.16479i | 1.08866 | − | 0.205184i | ||||
\(413\) | −15.6916 | − | 15.6916i | −0.772133 | − | 0.772133i | ||||
\(414\) | −12.5293 | + | 6.61623i | −0.615781 | + | 0.325170i | ||||
\(415\) | −29.6750 | − | 13.4067i | −1.45669 | − | 0.658110i | ||||
\(416\) | 7.54339 | − | 18.9499i | 0.369845 | − | 0.929094i | ||||
\(417\) | −11.3391 | + | 11.3391i | −0.555276 | + | 0.555276i | ||||
\(418\) | −0.716451 | − | 0.221275i | −0.0350428 | − | 0.0108229i | ||||
\(419\) | −17.1056 | −0.835662 | −0.417831 | − | 0.908525i | \(-0.637210\pi\) | ||||
−0.417831 | + | 0.908525i | \(0.637210\pi\) | |||||||
\(420\) | 1.76150 | − | 7.25944i | 0.0859524 | − | 0.354224i | ||||
\(421\) | 7.59120i | 0.369972i | 0.982741 | + | 0.184986i | \(0.0592240\pi\) | ||||
−0.982741 | + | 0.184986i | \(0.940776\pi\) | |||||||
\(422\) | −5.76457 | − | 1.78038i | −0.280615 | − | 0.0866673i | ||||
\(423\) | 8.03253 | + | 8.03253i | 0.390555 | + | 0.390555i | ||||
\(424\) | 27.5973 | + | 3.13925i | 1.34024 | + | 0.152455i | ||||
\(425\) | 0.354911 | − | 5.60125i | 0.0172157 | − | 0.271700i | ||||
\(426\) | 0.910232 | + | 1.72372i | 0.0441009 | + | 0.0835147i | ||||
\(427\) | 2.22599 | − | 2.22599i | 0.107723 | − | 0.107723i | ||||
\(428\) | 6.98447 | + | 37.0578i | 0.337607 | + | 1.79126i | ||||
\(429\) | −4.89108 | − | 14.1167i | −0.236144 | − | 0.681559i | ||||
\(430\) | 8.22702 | + | 7.27251i | 0.396742 | + | 0.350712i | ||||
\(431\) | 28.3057 | 1.36344 | 0.681718 | − | 0.731615i | \(-0.261233\pi\) | ||||
0.681718 | + | 0.731615i | \(0.261233\pi\) | |||||||
\(432\) | 6.84345 | − | 15.6248i | 0.329256 | − | 0.751747i | ||||
\(433\) | 12.4675 | + | 12.4675i | 0.599151 | + | 0.599151i | 0.940087 | − | 0.340936i | \(-0.110744\pi\) |
−0.340936 | + | 0.940087i | \(0.610744\pi\) | |||||||
\(434\) | −7.71954 | − | 14.6187i | −0.370550 | − | 0.701718i | ||||
\(435\) | 5.11228 | + | 2.30966i | 0.245115 | + | 0.110740i | ||||
\(436\) | −28.5716 | − | 19.5096i | −1.36833 | − | 0.934338i | ||||
\(437\) | −0.303906 | − | 0.303906i | −0.0145378 | − | 0.0145378i | ||||
\(438\) | −8.91351 | − | 2.75292i | −0.425904 | − | 0.131540i | ||||
\(439\) | −0.183524 | −0.00875913 | −0.00437956 | − | 0.999990i | \(-0.501394\pi\) | ||||
−0.00437956 | + | 0.999990i | \(0.501394\pi\) | |||||||
\(440\) | −16.8963 | + | 28.3411i | −0.805499 | + | 1.35111i | ||||
\(441\) | −6.10540 | −0.290733 | ||||||||
\(442\) | −5.72032 | + | 0.194437i | −0.272088 | + | 0.00924841i | ||||
\(443\) | 5.69369 | − | 5.69369i | 0.270516 | − | 0.270516i | −0.558792 | − | 0.829308i | \(-0.688735\pi\) |
0.829308 | + | 0.558792i | \(0.188735\pi\) | |||||||
\(444\) | −6.03359 | − | 4.11991i | −0.286342 | − | 0.195522i | ||||
\(445\) | 13.5892 | − | 5.13148i | 0.644191 | − | 0.243255i | ||||
\(446\) | −21.3482 | + | 11.2731i | −1.01087 | + | 0.533799i | ||||
\(447\) | 5.34501 | − | 5.34501i | 0.252810 | − | 0.252810i | ||||
\(448\) | 8.92092 | + | 14.2649i | 0.421474 | + | 0.673955i | ||||
\(449\) | 33.2458 | 1.56896 | 0.784482 | − | 0.620151i | \(-0.212929\pi\) | ||||
0.784482 | + | 0.620151i | \(0.212929\pi\) | |||||||
\(450\) | 15.2791 | − | 6.87028i | 0.720262 | − | 0.323868i | ||||
\(451\) | − | 33.8018i | − | 1.59166i | ||||||
\(452\) | −6.28555 | − | 33.3496i | −0.295647 | − | 1.56863i | ||||
\(453\) | 2.08341 | − | 2.08341i | 0.0978874 | − | 0.0978874i | ||||
\(454\) | 9.06783 | + | 17.1719i | 0.425575 | + | 0.805919i | ||||
\(455\) | −10.8528 | − | 13.0273i | −0.508789 | − | 0.610729i | ||||
\(456\) | 0.226849 | + | 0.0258045i | 0.0106232 | + | 0.00120841i | ||||
\(457\) | −4.43340 | − | 4.43340i | −0.207386 | − | 0.207386i | 0.595770 | − | 0.803155i | \(-0.296847\pi\) |
−0.803155 | + | 0.595770i | \(0.796847\pi\) | |||||||
\(458\) | 4.06615 | − | 13.1655i | 0.189998 | − | 0.615184i | ||||
\(459\) | −4.78681 | −0.223429 | ||||||||
\(460\) | −16.1491 | + | 9.84230i | −0.752956 | + | 0.458900i | ||||
\(461\) | 32.9895i | 1.53648i | 0.640165 | + | 0.768238i | \(0.278866\pi\) | ||||
−0.640165 | + | 0.768238i | \(0.721134\pi\) | |||||||
\(462\) | 11.7752 | + | 3.63674i | 0.547830 | + | 0.169196i | ||||
\(463\) | 14.2854 | + | 14.2854i | 0.663897 | + | 0.663897i | 0.956296 | − | 0.292399i | \(-0.0944536\pi\) |
−0.292399 | + | 0.956296i | \(0.594454\pi\) | |||||||
\(464\) | −11.7680 | + | 4.59932i | −0.546315 | + | 0.213518i | ||||
\(465\) | −4.06426 | + | 8.99599i | −0.188476 | + | 0.417179i | ||||
\(466\) | 4.24548 | − | 2.24187i | 0.196668 | − | 0.103853i | ||||
\(467\) | 21.2595 | + | 21.2595i | 0.983774 | + | 0.983774i | 0.999870 | − | 0.0160967i | \(-0.00512396\pi\) |
−0.0160967 | + | 0.999870i | \(0.505124\pi\) | |||||||
\(468\) | −8.48624 | − | 14.8277i | −0.392277 | − | 0.685410i | ||||
\(469\) | 18.9627i | 0.875615i | ||||||||
\(470\) | 11.3602 | + | 10.0422i | 0.524008 | + | 0.463212i | ||||
\(471\) | − | 2.86652i | − | 0.132082i | ||||||
\(472\) | −18.5831 | − | 23.3535i | −0.855356 | − | 1.07493i | ||||
\(473\) | −12.8096 | + | 12.8096i | −0.588986 | + | 0.588986i | ||||
\(474\) | −0.751270 | − | 1.42269i | −0.0345070 | − | 0.0653465i | ||||
\(475\) | 0.335882 | + | 0.381327i | 0.0154113 | + | 0.0174965i | ||||
\(476\) | 2.66244 | − | 3.89913i | 0.122033 | − | 0.178716i | ||||
\(477\) | 16.4511 | − | 16.4511i | 0.753246 | − | 0.753246i | ||||
\(478\) | 20.0407 | + | 6.18953i | 0.916641 | + | 0.283103i | ||||
\(479\) | 28.2046i | 1.28870i | 0.764730 | + | 0.644351i | \(0.222872\pi\) | ||||
−0.764730 | + | 0.644351i | \(0.777128\pi\) | |||||||
\(480\) | 3.45731 | − | 9.43284i | 0.157804 | − | 0.430548i | ||||
\(481\) | −15.6694 | + | 5.42906i | −0.714462 | + | 0.247544i | ||||
\(482\) | −12.6997 | − | 3.92227i | −0.578455 | − | 0.178655i | ||||
\(483\) | 4.99481 | + | 4.99481i | 0.227272 | + | 0.227272i | ||||
\(484\) | −26.7862 | − | 18.2904i | −1.21755 | − | 0.831382i | ||||
\(485\) | −19.1067 | − | 8.63215i | −0.867592 | − | 0.391966i | ||||
\(486\) | −10.3998 | − | 19.6942i | −0.471743 | − | 0.893349i | ||||
\(487\) | 5.60275 | − | 5.60275i | 0.253885 | − | 0.253885i | −0.568676 | − | 0.822561i | \(-0.692544\pi\) |
0.822561 | + | 0.568676i | \(0.192544\pi\) | |||||||
\(488\) | 3.31289 | − | 2.63617i | 0.149967 | − | 0.119334i | ||||
\(489\) | 4.25881 | 0.192590 | ||||||||
\(490\) | −8.13381 | + | 0.500906i | −0.367448 | + | 0.0226286i | ||||
\(491\) | 19.7932i | 0.893253i | 0.894720 | + | 0.446627i | \(0.147375\pi\) | ||||
−0.894720 | + | 0.446627i | \(0.852625\pi\) | |||||||
\(492\) | 1.90621 | + | 10.1139i | 0.0859387 | + | 0.455969i | ||||
\(493\) | 2.50715 | + | 2.50715i | 0.112916 | + | 0.112916i | ||||
\(494\) | 0.353780 | − | 0.378676i | 0.0159173 | − | 0.0170375i | ||||
\(495\) | 9.76359 | + | 25.8560i | 0.438841 | + | 1.16214i | ||||
\(496\) | −8.09333 | − | 20.7079i | −0.363401 | − | 0.929813i | ||||
\(497\) | −2.58079 | + | 2.58079i | −0.115764 | + | 0.115764i | ||||
\(498\) | −4.82689 | + | 15.6287i | −0.216298 | + | 0.700338i | ||||
\(499\) | − | 15.1230i | − | 0.677000i | −0.940966 | − | 0.338500i | \(-0.890080\pi\) | ||
0.940966 | − | 0.338500i | \(-0.109920\pi\) | |||||||
\(500\) | 19.7916 | − | 10.4064i | 0.885108 | − | 0.465386i | ||||
\(501\) | 9.95634i | 0.444817i | ||||||||
\(502\) | −17.3166 | − | 5.34821i | −0.772879 | − | 0.238702i | ||||
\(503\) | 7.15930 | − | 7.15930i | 0.319218 | − | 0.319218i | −0.529249 | − | 0.848467i | \(-0.677526\pi\) |
0.848467 | + | 0.529249i | \(0.177526\pi\) | |||||||
\(504\) | 14.0026 | + | 1.59282i | 0.623726 | + | 0.0709500i | ||||
\(505\) | 39.5276 | − | 14.9262i | 1.75896 | − | 0.664205i | ||||
\(506\) | −14.5693 | − | 27.5901i | −0.647683 | − | 1.22653i | ||||
\(507\) | 10.2529 | + | 1.21897i | 0.455349 | + | 0.0541365i | ||||
\(508\) | −2.42649 | − | 12.8744i | −0.107658 | − | 0.571207i | ||||
\(509\) | 42.1615 | 1.86877 | 0.934387 | − | 0.356259i | \(-0.115948\pi\) | ||||
0.934387 | + | 0.356259i | \(0.115948\pi\) | |||||||
\(510\) | −2.81395 | + | 0.173292i | −0.124604 | + | 0.00767350i | ||||
\(511\) | − | 17.4672i | − | 0.772701i | ||||||
\(512\) | 9.75246 | + | 20.4179i | 0.431002 | + | 0.902351i | ||||
\(513\) | 0.306462 | − | 0.306462i | 0.0135306 | − | 0.0135306i | ||||
\(514\) | −4.32915 | − | 8.19821i | −0.190951 | − | 0.361607i | ||||
\(515\) | 10.3508 | − | 22.9109i | 0.456111 | − | 1.00957i | ||||
\(516\) | 3.11040 | − | 4.55516i | 0.136928 | − | 0.200530i | ||||
\(517\) | −17.6880 | + | 17.6880i | −0.777918 | + | 0.777918i | ||||
\(518\) | 4.03675 | − | 13.0703i | 0.177365 | − | 0.574278i | ||||
\(519\) | 9.57278 | 0.420198 | ||||||||
\(520\) | −12.5222 | − | 19.0577i | −0.549133 | − | 0.835735i | ||||
\(521\) | 7.84375 | 0.343641 | 0.171821 | − | 0.985128i | \(-0.445035\pi\) | ||||
0.171821 | + | 0.985128i | \(0.445035\pi\) | |||||||
\(522\) | −3.12309 | + | 10.1120i | −0.136694 | + | 0.442592i | ||||
\(523\) | 23.4710 | − | 23.4710i | 1.02631 | − | 1.02631i | 0.0266693 | − | 0.999644i | \(-0.491510\pi\) |
0.999644 | − | 0.0266693i | \(-0.00849009\pi\) | |||||||
\(524\) | 23.5141 | − | 34.4362i | 1.02722 | − | 1.50435i | ||||
\(525\) | −5.52036 | − | 6.26726i | −0.240928 | − | 0.273526i | ||||
\(526\) | −19.6422 | − | 37.1968i | −0.856439 | − | 1.62186i | ||||
\(527\) | −4.41178 | + | 4.41178i | −0.192180 | + | 0.192180i | ||||
\(528\) | 15.1820 | + | 6.64954i | 0.660714 | + | 0.289384i | ||||
\(529\) | 5.11676i | 0.222468i | ||||||||
\(530\) | 20.5671 | − | 23.2665i | 0.893376 | − | 1.01063i | ||||
\(531\) | −24.9990 | −1.08486 | ||||||||
\(532\) | 0.0791757 | + | 0.420087i | 0.00343270 | + | 0.0182131i | ||||
\(533\) | 21.0161 | + | 10.2004i | 0.910309 | + | 0.441826i | ||||
\(534\) | −3.40720 | − | 6.45229i | −0.147444 | − | 0.279218i | ||||
\(535\) | 38.4222 | + | 17.3586i | 1.66114 | + | 0.750478i | ||||
\(536\) | −2.88240 | + | 25.3393i | −0.124501 | + | 1.09449i | ||||
\(537\) | 10.9770 | − | 10.9770i | 0.473694 | − | 0.473694i | ||||
\(538\) | −15.2727 | − | 4.71695i | −0.658454 | − | 0.203362i | ||||
\(539\) | − | 13.4444i | − | 0.579091i | ||||||
\(540\) | −9.92510 | − | 16.2850i | −0.427108 | − | 0.700793i | ||||
\(541\) | 23.2720i | 1.00054i | 0.865869 | + | 0.500271i | \(0.166766\pi\) | ||||
−0.865869 | + | 0.500271i | \(0.833234\pi\) | |||||||
\(542\) | −0.389306 | + | 1.26051i | −0.0167221 | + | 0.0541436i | ||||
\(543\) | 6.29494 | − | 6.29494i | 0.270142 | − | 0.270142i | ||||
\(544\) | 4.15043 | − | 4.80560i | 0.177948 | − | 0.206039i | ||||
\(545\) | −36.1867 | + | 13.6646i | −1.55007 | + | 0.585327i | ||||
\(546\) | −5.81452 | + | 6.22370i | −0.248838 | + | 0.266350i | ||||
\(547\) | 11.5816 | + | 11.5816i | 0.495195 | + | 0.495195i | 0.909938 | − | 0.414743i | \(-0.136129\pi\) |
−0.414743 | + | 0.909938i | \(0.636129\pi\) | |||||||
\(548\) | −0.0626026 | − | 0.332154i | −0.00267425 | − | 0.0141889i | ||||
\(549\) | − | 3.54632i | − | 0.151353i | ||||||
\(550\) | 15.1287 | + | 33.6452i | 0.645089 | + | 1.43464i | ||||
\(551\) | −0.321026 | −0.0136762 | ||||||||
\(552\) | 5.91521 | + | 7.43367i | 0.251768 | + | 0.316398i | ||||
\(553\) | 2.13008 | − | 2.13008i | 0.0905802 | − | 0.0905802i | ||||
\(554\) | 14.6871 | + | 27.8132i | 0.623995 | + | 1.18167i | ||||
\(555\) | −7.64170 | + | 2.88561i | −0.324372 | + | 0.122487i | ||||
\(556\) | −33.3476 | − | 22.7707i | −1.41425 | − | 0.965692i | ||||
\(557\) | −1.38433 | − | 1.38433i | −0.0586558 | − | 0.0586558i | 0.677170 | − | 0.735826i | \(-0.263206\pi\) |
−0.735826 | + | 0.677170i | \(0.763206\pi\) | |||||||
\(558\) | −17.7940 | − | 5.49564i | −0.753279 | − | 0.232649i | ||||
\(559\) | −4.09876 | − | 11.8299i | −0.173359 | − | 0.500350i | ||||
\(560\) | 18.7854 | + | 0.973194i | 0.793829 | + | 0.0411250i | ||||
\(561\) | − | 4.65118i | − | 0.196373i | ||||||
\(562\) | −40.5741 | − | 12.5312i | −1.71152 | − | 0.528598i | ||||
\(563\) | −1.09528 | + | 1.09528i | −0.0461608 | + | 0.0461608i | −0.729810 | − | 0.683650i | \(-0.760392\pi\) |
0.683650 | + | 0.729810i | \(0.260392\pi\) | |||||||
\(564\) | 4.29497 | − | 6.28996i | 0.180851 | − | 0.264855i | ||||
\(565\) | −34.5774 | − | 15.6216i | −1.45468 | − | 0.657205i | ||||
\(566\) | 13.6459 | + | 25.8415i | 0.573581 | + | 1.08620i | ||||
\(567\) | 5.53286 | − | 5.53286i | 0.232358 | − | 0.232358i | ||||
\(568\) | −3.84093 | + | 3.05635i | −0.161162 | + | 0.128242i | ||||
\(569\) | − | 26.0963i | − | 1.09401i | −0.837129 | − | 0.547006i | \(-0.815767\pi\) | ||
0.837129 | − | 0.547006i | \(-0.184233\pi\) | |||||||
\(570\) | 0.169061 | − | 0.191250i | 0.00708117 | − | 0.00801057i | ||||
\(571\) | − | 38.4087i | − | 1.60735i | −0.595066 | − | 0.803677i | \(-0.702874\pi\) | ||
0.595066 | − | 0.803677i | \(-0.297126\pi\) | |||||||
\(572\) | 32.6513 | − | 18.6871i | 1.36522 | − | 0.781348i | ||||
\(573\) | 8.10423 | + | 8.10423i | 0.338559 | + | 0.338559i | ||||
\(574\) | −17.0403 | + | 8.99834i | −0.711250 | + | 0.375584i | ||||
\(575\) | −1.33708 | + | 21.1020i | −0.0557601 | + | 0.880013i | ||||
\(576\) | 18.4692 | + | 4.25690i | 0.769550 | + | 0.177371i | ||||
\(577\) | −7.40764 | − | 7.40764i | −0.308384 | − | 0.308384i | 0.535898 | − | 0.844282i | \(-0.319973\pi\) |
−0.844282 | + | 0.535898i | \(0.819973\pi\) | |||||||
\(578\) | 21.2685 | + | 6.56872i | 0.884651 | + | 0.273223i | ||||
\(579\) | − | 8.21169i | − | 0.341266i | ||||||
\(580\) | −3.33105 | + | 13.7278i | −0.138314 | + | 0.570017i | ||||
\(581\) | −30.6264 | −1.27060 | ||||||||
\(582\) | −3.10788 | + | 10.0628i | −0.128826 | + | 0.417117i | ||||
\(583\) | 36.2262 | + | 36.2262i | 1.50034 | + | 1.50034i | ||||
\(584\) | 2.65507 | − | 23.3409i | 0.109868 | − | 0.965853i | ||||
\(585\) | −19.0222 | − | 1.73210i | −0.786472 | − | 0.0716137i | ||||
\(586\) | 7.99186 | + | 15.1343i | 0.330141 | + | 0.625194i | ||||
\(587\) | −2.55282 | + | 2.55282i | −0.105366 | + | 0.105366i | −0.757825 | − | 0.652458i | \(-0.773738\pi\) |
0.652458 | + | 0.757825i | \(0.273738\pi\) | |||||||
\(588\) | 0.758180 | + | 4.02272i | 0.0312668 | + | 0.165894i | ||||
\(589\) | − | 0.564904i | − | 0.0232765i | ||||||
\(590\) | −33.3045 | + | 2.05100i | −1.37112 | + | 0.0844382i | ||||
\(591\) | 5.14802 | 0.211761 | ||||||||
\(592\) | 7.38094 | − | 16.8519i | 0.303355 | − | 0.692611i | ||||
\(593\) | −11.4211 | + | 11.4211i | −0.469008 | + | 0.469008i | −0.901593 | − | 0.432585i | \(-0.857602\pi\) |
0.432585 | + | 0.901593i | \(0.357602\pi\) | |||||||
\(594\) | 27.8222 | − | 14.6918i | 1.14156 | − | 0.602813i | ||||
\(595\) | −1.86479 | − | 4.93835i | −0.0764489 | − | 0.202453i | ||||
\(596\) | 15.7194 | + | 10.7337i | 0.643891 | + | 0.439668i | ||||
\(597\) | −1.04324 | + | 1.04324i | −0.0426969 | + | 0.0426969i | ||||
\(598\) | 21.5506 | − | 0.732515i | 0.881269 | − | 0.0299548i | ||||
\(599\) | −32.8264 | −1.34125 | −0.670625 | − | 0.741796i | \(-0.733974\pi\) | ||||
−0.670625 | + | 0.741796i | \(0.733974\pi\) | |||||||
\(600\) | −6.42406 | − | 9.21388i | −0.262261 | − | 0.376155i | ||||
\(601\) | 4.74265 | 0.193457 | 0.0967284 | − | 0.995311i | \(-0.469162\pi\) | ||||
0.0967284 | + | 0.995311i | \(0.469162\pi\) | |||||||
\(602\) | 9.86767 | + | 3.04761i | 0.402176 | + | 0.124211i | ||||
\(603\) | 15.1051 | + | 15.1051i | 0.615129 | + | 0.615129i | ||||
\(604\) | 6.12721 | + | 4.18384i | 0.249313 | + | 0.170238i | ||||
\(605\) | −33.9254 | + | 12.8107i | −1.37927 | + | 0.520829i | ||||
\(606\) | −9.91070 | − | 18.7681i | −0.402594 | − | 0.762401i | ||||
\(607\) | 12.6061 | + | 12.6061i | 0.511664 | + | 0.511664i | 0.915036 | − | 0.403372i | \(-0.132162\pi\) |
−0.403372 | + | 0.915036i | \(0.632162\pi\) | |||||||
\(608\) | 0.0419456 | + | 0.573385i | 0.00170112 | + | 0.0232539i | ||||
\(609\) | 5.27620 | 0.213802 | ||||||||
\(610\) | −0.290951 | − | 4.72452i | −0.0117803 | − | 0.191290i | ||||
\(611\) | −5.65974 | − | 16.3352i | −0.228968 | − | 0.660850i | ||||
\(612\) | −0.985112 | − | 5.22676i | −0.0398208 | − | 0.211279i | ||||
\(613\) | 18.6468 | − | 18.6468i | 0.753135 | − | 0.753135i | −0.221928 | − | 0.975063i | \(-0.571235\pi\) |
0.975063 | + | 0.221928i | \(0.0712349\pi\) | |||||||
\(614\) | 12.4270 | + | 23.5334i | 0.501515 | + | 0.949729i | ||||
\(615\) | 10.4862 | + | 4.73754i | 0.422846 | + | 0.191036i | ||||
\(616\) | −3.50748 | + | 30.8344i | −0.141320 | + | 1.24235i | ||||
\(617\) | 9.07508 | + | 9.07508i | 0.365349 | + | 0.365349i | 0.865778 | − | 0.500429i | \(-0.166824\pi\) |
−0.500429 | + | 0.865778i | \(0.666824\pi\) | |||||||
\(618\) | −12.0663 | − | 3.72666i | −0.485378 | − | 0.149908i | ||||
\(619\) | 38.4906i | 1.54707i | 0.633754 | + | 0.773535i | \(0.281513\pi\) | ||||
−0.633754 | + | 0.773535i | \(0.718487\pi\) | |||||||
\(620\) | −24.1566 | − | 5.86159i | −0.970153 | − | 0.235407i | ||||
\(621\) | 18.0337 | 0.723666 | ||||||||
\(622\) | 16.7362 | + | 5.16893i | 0.671059 | + | 0.207255i | ||||
\(623\) | 9.66047 | − | 9.66047i | 0.387039 | − | 0.387039i | ||||
\(624\) | −8.71581 | + | 7.43274i | −0.348911 | + | 0.297548i | ||||
\(625\) | 3.15547 | − | 24.8001i | 0.126219 | − | 0.992002i | ||||
\(626\) | −16.1082 | + | 8.50609i | −0.643811 | + | 0.339972i | ||||
\(627\) | 0.297779 | + | 0.297779i | 0.0118921 | + | 0.0118921i | ||||
\(628\) | 7.09337 | − | 1.33692i | 0.283056 | − | 0.0533489i | ||||
\(629\) | −5.16277 | −0.205853 | ||||||||
\(630\) | 10.4355 | − | 11.8052i | 0.415762 | − | 0.470330i | ||||
\(631\) | −36.4065 | −1.44932 | −0.724660 | − | 0.689107i | \(-0.758003\pi\) | ||||
−0.724660 | + | 0.689107i | \(0.758003\pi\) | |||||||
\(632\) | 3.17015 | − | 2.52259i | 0.126102 | − | 0.100343i | ||||
\(633\) | 2.39593 | + | 2.39593i | 0.0952296 | + | 0.0952296i | ||||
\(634\) | −17.4260 | + | 9.20197i | −0.692073 | + | 0.365457i | ||||
\(635\) | −13.3483 | − | 6.03059i | −0.529712 | − | 0.239317i | ||||
\(636\) | −12.8822 | − | 8.79638i | −0.510814 | − | 0.348799i | ||||
\(637\) | 8.35898 | + | 4.05711i | 0.331195 | + | 0.160748i | ||||
\(638\) | −22.2672 | − | 6.87719i | −0.881567 | − | 0.272270i | ||||
\(639\) | 4.11156i | 0.162651i | ||||||||
\(640\) | 24.9545 | + | 4.15591i | 0.986414 | + | 0.164277i | ||||
\(641\) | −13.3606 | −0.527712 | −0.263856 | − | 0.964562i | \(-0.584994\pi\) | ||||
−0.263856 | + | 0.964562i | \(0.584994\pi\) | |||||||
\(642\) | 6.24970 | − | 20.2355i | 0.246656 | − | 0.798632i | ||||
\(643\) | −16.9126 | − | 16.9126i | −0.666968 | − | 0.666968i | 0.290045 | − | 0.957013i | \(-0.406330\pi\) |
−0.957013 | + | 0.290045i | \(0.906330\pi\) | |||||||
\(644\) | −10.0304 | + | 14.6895i | −0.395253 | + | 0.578846i | ||||
\(645\) | −2.17854 | − | 5.76923i | −0.0857800 | − | 0.227163i | ||||
\(646\) | 0.142666 | − | 0.0753364i | 0.00561312 | − | 0.00296407i | ||||
\(647\) | −20.3051 | − | 20.3051i | −0.798274 | − | 0.798274i | 0.184549 | − | 0.982823i | \(-0.440918\pi\) |
−0.982823 | + | 0.184549i | \(0.940918\pi\) | |||||||
\(648\) | 8.23442 | − | 6.55239i | 0.323479 | − | 0.257402i | ||||
\(649\) | − | 55.0490i | − | 2.16086i | ||||||
\(650\) | −25.4842 | − | 0.746921i | −0.999571 | − | 0.0292966i | ||||
\(651\) | 9.28443i | 0.363885i | ||||||||
\(652\) | 1.98627 | + | 10.5387i | 0.0777883 | + | 0.412725i | ||||
\(653\) | 21.8481 | + | 21.8481i | 0.854982 | + | 0.854982i | 0.990742 | − | 0.135760i | \(-0.0433475\pi\) |
−0.135760 | + | 0.990742i | \(0.543348\pi\) | |||||||
\(654\) | 9.07304 | + | 17.1818i | 0.354784 | + | 0.671861i | ||||
\(655\) | −16.4694 | − | 43.6144i | −0.643512 | − | 1.70416i | ||||
\(656\) | −24.1383 | + | 9.43405i | −0.942444 | + | 0.368338i | ||||
\(657\) | −13.9138 | − | 13.9138i | −0.542831 | − | 0.542831i | ||||
\(658\) | 13.6257 | + | 4.20827i | 0.531185 | + | 0.164055i | ||||
\(659\) | 19.3163 | 0.752456 | 0.376228 | − | 0.926527i | \(-0.377221\pi\) | ||||
0.376228 | + | 0.926527i | \(0.377221\pi\) | |||||||
\(660\) | 15.8235 | − | 9.64388i | 0.615930 | − | 0.375387i | ||||
\(661\) | 5.24920i | 0.204170i | 0.994776 | + | 0.102085i | \(0.0325514\pi\) | ||||
−0.994776 | + | 0.102085i | \(0.967449\pi\) | |||||||
\(662\) | 11.2158 | − | 36.3148i | 0.435913 | − | 1.41142i | ||||
\(663\) | 2.89185 | + | 1.40358i | 0.112310 | + | 0.0545107i | ||||
\(664\) | −40.9253 | − | 4.65533i | −1.58821 | − | 0.180662i | ||||
\(665\) | 0.435552 | + | 0.196777i | 0.0168900 | + | 0.00763067i | ||||
\(666\) | −7.19590 | − | 13.6270i | −0.278835 | − | 0.528036i | ||||
\(667\) | −9.44535 | − | 9.44535i | −0.365725 | − | 0.365725i | ||||
\(668\) | −24.6375 | + | 4.64355i | −0.953254 | + | 0.179664i | ||||
\(669\) | 13.5584 | 0.524198 | ||||||||
\(670\) | 21.3628 | + | 18.8843i | 0.825318 | + | 0.729564i | ||||
\(671\) | 7.80917 | 0.301470 | ||||||||
\(672\) | −0.689394 | − | 9.42382i | −0.0265939 | − | 0.363532i | ||||
\(673\) | −9.09875 | − | 9.09875i | −0.350731 | − | 0.350731i | 0.509650 | − | 0.860382i | \(-0.329775\pi\) |
−0.860382 | + | 0.509650i | \(0.829775\pi\) | |||||||
\(674\) | 11.1055 | + | 21.0307i | 0.427769 | + | 0.810074i | ||||
\(675\) | −21.2795 | − | 1.34833i | −0.819048 | − | 0.0518972i | ||||
\(676\) | 1.76547 | + | 25.9400i | 0.0679025 | + | 0.997692i | ||||
\(677\) | 11.0809 | − | 11.0809i | 0.425873 | − | 0.425873i | −0.461347 | − | 0.887220i | \(-0.652634\pi\) |
0.887220 | + | 0.461347i | \(0.152634\pi\) | |||||||
\(678\) | −5.62431 | + | 18.2106i | −0.216000 | + | 0.699374i | ||||
\(679\) | −19.7193 | −0.756759 | ||||||||
\(680\) | −1.74122 | − | 6.88244i | −0.0667727 | − | 0.263930i | ||||
\(681\) | − | 10.9060i | − | 0.417920i | ||||||
\(682\) | 12.1017 | − | 39.1832i | 0.463396 | − | 1.50040i | ||||
\(683\) | −10.4003 | − | 10.4003i | −0.397957 | − | 0.397957i | 0.479555 | − | 0.877512i | \(-0.340798\pi\) |
−0.877512 | + | 0.479555i | \(0.840798\pi\) | |||||||
\(684\) | 0.397698 | + | 0.271560i | 0.0152064 | + | 0.0103834i | ||||
\(685\) | −0.344382 | − | 0.155587i | −0.0131582 | − | 0.00594468i | ||||
\(686\) | −25.1880 | + | 13.3008i | −0.961682 | + | 0.507827i | ||||
\(687\) | −5.47199 | + | 5.47199i | −0.208769 | + | 0.208769i | ||||
\(688\) | 12.7227 | + | 5.57236i | 0.485047 | + | 0.212444i | ||||
\(689\) | −33.4555 | + | 11.5915i | −1.27455 | + | 0.441602i | ||||
\(690\) | 10.6012 | − | 0.652855i | 0.403580 | − | 0.0248538i | ||||
\(691\) | 7.44985 | 0.283406 | 0.141703 | − | 0.989909i | \(-0.454742\pi\) | ||||
0.141703 | + | 0.989909i | \(0.454742\pi\) | |||||||
\(692\) | 4.46466 | + | 23.6884i | 0.169721 | + | 0.900496i | ||||
\(693\) | 18.3808 | + | 18.3808i | 0.698231 | + | 0.698231i | ||||
\(694\) | 13.7999 | − | 7.28719i | 0.523837 | − | 0.276618i | ||||
\(695\) | −42.2356 | + | 15.9487i | −1.60209 | + | 0.604969i | ||||
\(696\) | 7.05044 | + | 0.802001i | 0.267246 | + | 0.0303998i | ||||
\(697\) | 5.14262 | + | 5.14262i | 0.194791 | + | 0.194791i | ||||
\(698\) | −9.63310 | + | 31.1904i | −0.364618 | + | 1.18057i | ||||
\(699\) | −2.69634 | −0.101985 | ||||||||
\(700\) | 12.9340 | − | 16.5834i | 0.488860 | − | 0.626795i | ||||
\(701\) | 26.0315 | 0.983196 | 0.491598 | − | 0.870822i | \(-0.336413\pi\) | ||||
0.491598 | + | 0.870822i | \(0.336413\pi\) | |||||||
\(702\) | 0.738677 | + | 21.7319i | 0.0278796 | + | 0.820216i | ||||
\(703\) | 0.330532 | − | 0.330532i | 0.0124662 | − | 0.0124662i | ||||
\(704\) | −9.37389 | + | 40.6701i | −0.353292 | + | 1.53281i | ||||
\(705\) | −3.00822 | − | 7.96640i | −0.113296 | − | 0.300032i | ||||
\(706\) | 11.6284 | + | 22.0209i | 0.437641 | + | 0.828769i | ||||
\(707\) | 28.0999 | − | 28.0999i | 1.05680 | − | 1.05680i | ||||
\(708\) | 3.10442 | + | 16.4713i | 0.116671 | + | 0.619029i | ||||
\(709\) | −29.8029 | −1.11927 | −0.559636 | − | 0.828738i | \(-0.689059\pi\) | ||||
−0.559636 | + | 0.828738i | \(0.689059\pi\) | |||||||
\(710\) | 0.337326 | + | 5.47756i | 0.0126596 | + | 0.205569i | ||||
\(711\) | − | 3.39352i | − | 0.127267i | ||||||
\(712\) | 14.3775 | − | 11.4406i | 0.538818 | − | 0.428755i | ||||
\(713\) | 16.6208 | − | 16.6208i | 0.622454 | − | 0.622454i | ||||
\(714\) | −2.34478 | + | 1.23819i | −0.0877510 | + | 0.0463379i | ||||
\(715\) | 3.81418 | − | 41.8879i | 0.142642 | − | 1.56652i | ||||
\(716\) | 32.2828 | + | 22.0437i | 1.20647 | + | 0.823810i | ||||
\(717\) | −8.32952 | − | 8.32952i | −0.311072 | − | 0.311072i | ||||
\(718\) | 1.73676 | + | 0.536394i | 0.0648152 | + | 0.0200181i | ||||
\(719\) | −3.67225 | −0.136952 | −0.0684760 | − | 0.997653i | \(-0.521814\pi\) | ||||
−0.0684760 | + | 0.997653i | \(0.521814\pi\) | |||||||
\(720\) | 15.7392 | − | 14.1887i | 0.586564 | − | 0.528782i | ||||
\(721\) | − | 23.6455i | − | 0.880603i | ||||||
\(722\) | 7.92490 | − | 25.6595i | 0.294934 | − | 0.954949i | ||||
\(723\) | 5.27837 | + | 5.27837i | 0.196305 | + | 0.196305i | ||||
\(724\) | 18.5131 | + | 12.6413i | 0.688033 | + | 0.469809i | ||||
\(725\) | 10.4392 | + | 11.8516i | 0.387701 | + | 0.440157i | ||||
\(726\) | 8.50607 | + | 16.1081i | 0.315690 | + | 0.597828i | ||||
\(727\) | 20.5737 | + | 20.5737i | 0.763037 | + | 0.763037i | 0.976870 | − | 0.213833i | \(-0.0685950\pi\) |
−0.213833 | + | 0.976870i | \(0.568595\pi\) | |||||||
\(728\) | −18.1127 | − | 11.4857i | −0.671302 | − | 0.425687i | ||||
\(729\) | 1.34635i | 0.0498646i | ||||||||
\(730\) | −19.6780 | − | 17.3949i | −0.728316 | − | 0.643816i | ||||
\(731\) | − | 3.89772i | − | 0.144162i | ||||||
\(732\) | −2.33659 | + | 0.440389i | −0.0863630 | + | 0.0162772i | ||||
\(733\) | −12.1861 | + | 12.1861i | −0.450105 | + | 0.450105i | −0.895389 | − | 0.445284i | \(-0.853103\pi\) |
0.445284 | + | 0.895389i | \(0.353103\pi\) | |||||||
\(734\) | 5.35918 | − | 2.82998i | 0.197811 | − | 0.104456i | ||||
\(735\) | 4.17082 | + | 1.88432i | 0.153843 | + | 0.0695041i | ||||
\(736\) | −15.6362 | + | 18.1045i | −0.576358 | + | 0.667340i | ||||
\(737\) | −33.2622 | + | 33.2622i | −1.22523 | + | 1.22523i | ||||
\(738\) | −6.40603 | + | 20.7417i | −0.235809 | + | 0.763512i | ||||
\(739\) | 40.3506i | 1.48432i | 0.670223 | + | 0.742160i | \(0.266198\pi\) | ||||
−0.670223 | + | 0.742160i | \(0.733802\pi\) | |||||||
\(740\) | −10.7046 | − | 17.5640i | −0.393510 | − | 0.645665i | ||||
\(741\) | −0.275003 | + | 0.0952820i | −0.0101025 | + | 0.00350027i | ||||
\(742\) | 8.61881 | − | 27.9063i | 0.316407 | − | 1.02447i | ||||
\(743\) | −28.7552 | − | 28.7552i | −1.05493 | − | 1.05493i | −0.998401 | − | 0.0565244i | \(-0.981998\pi\) |
−0.0565244 | − | 0.998401i | \(-0.518002\pi\) | |||||||
\(744\) | −1.41127 | + | 12.4065i | −0.0517396 | + | 0.454846i | ||||
\(745\) | 19.9090 | − | 7.51791i | 0.729410 | − | 0.275435i | ||||
\(746\) | 22.1880 | − | 11.7166i | 0.812362 | − | 0.428977i | ||||
\(747\) | −24.3961 | + | 24.3961i | −0.892608 | + | 0.892608i | ||||
\(748\) | 11.5096 | − | 2.16927i | 0.420832 | − | 0.0793162i | ||||
\(749\) | 39.6541 | 1.44893 | ||||||||
\(750\) | −12.5581 | − | 0.0222617i | −0.458555 | − | 0.000812882i | ||||
\(751\) | 15.9959i | 0.583698i | 0.956464 | + | 0.291849i | \(0.0942704\pi\) | ||||
−0.956464 | + | 0.291849i | \(0.905730\pi\) | |||||||
\(752\) | 17.5680 | + | 7.69455i | 0.640638 | + | 0.280592i | ||||
\(753\) | 7.19731 | + | 7.19731i | 0.262285 | + | 0.262285i | ||||
\(754\) | 10.9954 | − | 11.7692i | 0.400430 | − | 0.428609i | ||||
\(755\) | 7.76027 | − | 2.93038i | 0.282425 | − | 0.106648i | ||||
\(756\) | −14.8130 | − | 10.1148i | −0.538745 | − | 0.367871i | ||||
\(757\) | −17.8098 | + | 17.8098i | −0.647308 | + | 0.647308i | −0.952342 | − | 0.305033i | \(-0.901332\pi\) |
0.305033 | + | 0.952342i | \(0.401332\pi\) | |||||||
\(758\) | −26.8774 | − | 8.30104i | −0.976232 | − | 0.301507i | ||||
\(759\) | 17.5227i | 0.636034i | ||||||||
\(760\) | 0.552106 | + | 0.329153i | 0.0200270 | + | 0.0119396i | ||||
\(761\) | − | 17.5187i | − | 0.635053i | −0.948249 | − | 0.317526i | \(-0.897148\pi\) | ||
0.948249 | − | 0.317526i | \(-0.102852\pi\) | |||||||
\(762\) | −2.17122 | + | 7.03007i | −0.0786551 | + | 0.254672i | ||||
\(763\) | −25.7249 | + | 25.7249i | −0.931302 | + | 0.931302i | ||||
\(764\) | −16.2746 | + | 23.8341i | −0.588795 | + | 0.862287i | ||||
\(765\) | −5.41919 | − | 2.44831i | −0.195931 | − | 0.0885190i | ||||
\(766\) | −3.44383 | + | 1.81855i | −0.124430 | + | 0.0657069i | ||||
\(767\) | 34.2264 | + | 16.6121i | 1.23585 | + | 0.599829i | ||||
\(768\) | 0.511238 | − | 12.6976i | 0.0184477 | − | 0.458185i | ||||
\(769\) | −0.804873 | −0.0290244 | −0.0145122 | − | 0.999895i | \(-0.504620\pi\) | ||||
−0.0145122 | + | 0.999895i | \(0.504620\pi\) | |||||||
\(770\) | 25.9956 | + | 22.9796i | 0.936816 | + | 0.828126i | ||||
\(771\) | 5.20675i | 0.187516i | ||||||||
\(772\) | 20.3203 | − | 3.82986i | 0.731343 | − | 0.137840i | ||||
\(773\) | 9.62801 | − | 9.62801i | 0.346296 | − | 0.346296i | −0.512432 | − | 0.858728i | \(-0.671255\pi\) |
0.858728 | + | 0.512432i | \(0.171255\pi\) | |||||||
\(774\) | 10.2880 | − | 5.43267i | 0.369793 | − | 0.195273i | ||||
\(775\) | −20.8550 | + | 18.3696i | −0.749134 | + | 0.659856i | ||||
\(776\) | −26.3504 | − | 2.99741i | −0.945925 | − | 0.107601i | ||||
\(777\) | −5.43243 | + | 5.43243i | −0.194887 | + | 0.194887i | ||||
\(778\) | 20.5683 | + | 6.35248i | 0.737409 | + | 0.227747i | ||||
\(779\) | −0.658485 | −0.0235927 | ||||||||
\(780\) | 1.22097 | + | 12.7484i | 0.0437178 | + | 0.456467i | ||||
\(781\) | −9.05387 | −0.323973 | ||||||||
\(782\) | 6.41415 | + | 1.98100i | 0.229370 | + | 0.0708403i | ||||
\(783\) | 9.52480 | − | 9.52480i | 0.340389 | − | 0.340389i | ||||
\(784\) | −9.60082 | + | 3.75232i | −0.342887 | + | 0.134011i | ||||
\(785\) | 3.32267 | − | 7.35452i | 0.118591 | − | 0.262494i | ||||
\(786\) | −20.7085 | + | 10.9354i | −0.738648 | + | 0.390052i | ||||
\(787\) | −26.3346 | + | 26.3346i | −0.938728 | + | 0.938728i | −0.998228 | − | 0.0594999i | \(-0.981049\pi\) |
0.0594999 | + | 0.998228i | \(0.481049\pi\) | |||||||
\(788\) | 2.40099 | + | 12.7391i | 0.0855317 | + | 0.453810i | ||||
\(789\) | 23.6240i | 0.841036i | ||||||||
\(790\) | −0.278416 | − | 4.52096i | −0.00990558 | − | 0.160849i | ||||
\(791\) | −35.6860 | −1.26885 | ||||||||
\(792\) | 21.7679 | + | 27.3558i | 0.773488 | + | 0.972046i | ||||
\(793\) | −2.35657 | + | 4.85532i | −0.0836843 | + | 0.172417i | ||||
\(794\) | −11.1254 | + | 5.87487i | −0.394825 | + | 0.208492i | ||||
\(795\) | −16.3157 | + | 6.16103i | −0.578659 | + | 0.218509i | ||||
\(796\) | −3.06810 | − | 2.09499i | −0.108746 | − | 0.0742550i | ||||
\(797\) | 22.1645 | − | 22.1645i | 0.785106 | − | 0.785106i | −0.195582 | − | 0.980687i | \(-0.562659\pi\) |
0.980687 | + | 0.195582i | \(0.0626595\pi\) | |||||||
\(798\) | 0.0708464 | − | 0.229389i | 0.00250794 | − | 0.00812029i | ||||
\(799\) | − | 5.38213i | − | 0.190406i | ||||||
\(800\) | 19.8041 | − | 20.1940i | 0.700182 | − | 0.713965i | ||||
\(801\) | − | 15.3905i | − | 0.543797i | ||||||
\(802\) | −12.2354 | − | 3.77889i | −0.432048 | − | 0.133437i | ||||
\(803\) | 30.6390 | − | 30.6390i | 1.08123 | − | 1.08123i | ||||
\(804\) | 8.07667 | − | 11.8282i | 0.284842 | − | 0.417150i | ||||
\(805\) | 7.02535 | + | 18.6046i | 0.247611 | + | 0.655726i | ||||
\(806\) | 20.7101 | + | 19.3485i | 0.729481 | + | 0.681520i | ||||
\(807\) | 6.34781 | + | 6.34781i | 0.223453 | + | 0.223453i | ||||
\(808\) | 41.8204 | − | 33.2778i | 1.47124 | − | 1.17071i | ||||
\(809\) | − | 1.51933i | − | 0.0534167i | −0.999643 | − | 0.0267083i | \(-0.991497\pi\) | ||
0.999643 | − | 0.0267083i | \(-0.00850254\pi\) | |||||||
\(810\) | −0.723181 | − | 11.7431i | −0.0254100 | − | 0.412612i | ||||
\(811\) | −35.6276 | −1.25105 | −0.625527 | − | 0.780202i | \(-0.715116\pi\) | ||||
−0.625527 | + | 0.780202i | \(0.715116\pi\) | |||||||
\(812\) | 2.46077 | + | 13.0562i | 0.0863561 | + | 0.458184i | ||||
\(813\) | 0.523906 | − | 0.523906i | 0.0183742 | − | 0.0183742i | ||||
\(814\) | 30.0074 | − | 15.8457i | 1.05176 | − | 0.555392i | ||||
\(815\) | 10.9266 | + | 4.93650i | 0.382744 | + | 0.172918i | ||||
\(816\) | −3.32147 | + | 1.29814i | −0.116275 | + | 0.0454440i | ||||
\(817\) | 0.249541 | + | 0.249541i | 0.00873032 | + | 0.00873032i | ||||
\(818\) | −3.98249 | + | 12.8947i | −0.139245 | + | 0.450852i | ||||
\(819\) | −16.9750 | + | 5.88143i | −0.593154 | + | 0.205514i | ||||
\(820\) | −6.83261 | + | 28.1583i | −0.238605 | + | 0.983331i | ||||
\(821\) | 46.2038i | 1.61252i | 0.591558 | + | 0.806262i | \(0.298513\pi\) | ||||
−0.591558 | + | 0.806262i | \(0.701487\pi\) | |||||||
\(822\) | −0.0560168 | + | 0.181373i | −0.00195381 | + | 0.00632612i | ||||
\(823\) | −27.3526 | + | 27.3526i | −0.953451 | + | 0.953451i | −0.998964 | − | 0.0455126i | \(-0.985508\pi\) |
0.0455126 | + | 0.998964i | \(0.485508\pi\) | |||||||
\(824\) | 3.59420 | − | 31.5968i | 0.125210 | − | 1.10073i | ||||
\(825\) | 1.31012 | − | 20.6765i | 0.0456127 | − | 0.719865i | ||||
\(826\) | −27.7516 | + | 14.6545i | −0.965601 | + | 0.509897i | ||||
\(827\) | 0.657877 | − | 0.657877i | 0.0228766 | − | 0.0228766i | −0.695576 | − | 0.718453i | \(-0.744851\pi\) |
0.718453 | + | 0.695576i | \(0.244851\pi\) | |||||||
\(828\) | 3.71128 | + | 19.6912i | 0.128976 | + | 0.684315i | ||||
\(829\) | 35.9608i | 1.24897i | 0.781036 | + | 0.624485i | \(0.214691\pi\) | ||||
−0.781036 | + | 0.624485i | \(0.785309\pi\) | |||||||
\(830\) | −30.4998 | + | 34.5029i | −1.05866 | + | 1.19761i | ||||
\(831\) | − | 17.6644i | − | 0.612772i | ||||||
\(832\) | −22.4577 | − | 18.1012i | −0.778580 | − | 0.627545i | ||||
\(833\) | 2.04544 | + | 2.04544i | 0.0708701 | + | 0.0708701i | ||||
\(834\) | 10.5897 | + | 20.0538i | 0.366690 | + | 0.694408i | ||||
\(835\) | −11.5407 | + | 25.5446i | −0.399382 | + | 0.884006i | ||||
\(836\) | −0.597988 | + | 0.875751i | −0.0206819 | + | 0.0302885i | ||||
\(837\) | 16.7606 | + | 16.7606i | 0.579332 | + | 0.579332i | ||||
\(838\) | −7.13861 | + | 23.1137i | −0.246599 | + | 0.798448i | ||||
\(839\) | − | 32.6599i | − | 1.12754i | −0.825930 | − | 0.563772i | \(-0.809350\pi\) | ||
0.825930 | − | 0.563772i | \(-0.190650\pi\) | |||||||
\(840\) | −9.07409 | − | 5.40976i | −0.313086 | − | 0.186654i | ||||
\(841\) | 19.0225 | 0.655950 | ||||||||
\(842\) | 10.2575 | + | 3.16801i | 0.353497 | + | 0.109177i | ||||
\(843\) | 16.8638 | + | 16.8638i | 0.580821 | + | 0.580821i | ||||
\(844\) | −4.81142 | + | 7.04629i | −0.165616 | + | 0.242543i | ||||
\(845\) | 24.8926 | + | 15.0119i | 0.856331 | + | 0.516427i | ||||
\(846\) | 14.2060 | − | 7.50165i | 0.488413 | − | 0.257912i | ||||
\(847\) | −24.1173 | + | 24.1173i | −0.828681 | + | 0.828681i | ||||
\(848\) | 15.7590 | − | 35.9804i | 0.541165 | − | 1.23557i | ||||
\(849\) | − | 16.4122i | − | 0.563264i | ||||||
\(850\) | −7.42049 | − | 2.81712i | −0.254521 | − | 0.0966263i | ||||
\(851\) | 19.4501 | 0.666739 | ||||||||
\(852\) | 2.70902 | − | 0.510582i | 0.0928096 | − | 0.0174923i | ||||
\(853\) | 22.3999 | − | 22.3999i | 0.766957 | − | 0.766957i | −0.210612 | − | 0.977570i | \(-0.567546\pi\) |
0.977570 | + | 0.210612i | \(0.0675458\pi\) | |||||||
\(854\) | −2.07887 | − | 3.93680i | −0.0711375 | − | 0.134715i | ||||
\(855\) | 0.503695 | − | 0.190202i | 0.0172260 | − | 0.00650478i | ||||
\(856\) | 52.9887 | + | 6.02757i | 1.81112 | + | 0.206018i | ||||
\(857\) | 14.2520 | − | 14.2520i | 0.486839 | − | 0.486839i | −0.420468 | − | 0.907307i | \(-0.638134\pi\) |
0.907307 | + | 0.420468i | \(0.138134\pi\) | |||||||
\(858\) | −21.1161 | + | 0.717747i | −0.720892 | + | 0.0245035i | ||||
\(859\) | 12.2688 | 0.418605 | 0.209303 | − | 0.977851i | \(-0.432881\pi\) | ||||
0.209303 | + | 0.977851i | \(0.432881\pi\) | |||||||
\(860\) | 13.2602 | − | 8.08164i | 0.452170 | − | 0.275581i | ||||
\(861\) | 10.8225 | 0.368829 | ||||||||
\(862\) | 11.8127 | − | 38.2476i | 0.402342 | − | 1.30272i | ||||
\(863\) | −10.4213 | − | 10.4213i | −0.354747 | − | 0.354747i | 0.507126 | − | 0.861872i | \(-0.330708\pi\) |
−0.861872 | + | 0.507126i | \(0.830708\pi\) | |||||||
\(864\) | −18.2568 | − | 15.7677i | −0.621108 | − | 0.536429i | ||||
\(865\) | 24.5605 | + | 11.0961i | 0.835081 | + | 0.377278i | ||||
\(866\) | 22.0496 | − | 11.6435i | 0.749275 | − | 0.395663i | ||||
\(867\) | −8.83981 | − | 8.83981i | −0.300216 | − | 0.300216i | ||||
\(868\) | −22.9748 | + | 4.33017i | −0.779816 | + | 0.146976i | ||||
\(869\) | 7.47270 | 0.253494 | ||||||||
\(870\) | 5.25439 | − | 5.94402i | 0.178140 | − | 0.201521i | ||||
\(871\) | −10.6431 | − | 30.7182i | −0.360628 | − | 1.04085i | ||||
\(872\) | −38.2857 | + | 30.4652i | −1.29652 | + | 1.03168i | ||||
\(873\) | −15.7079 | + | 15.7079i | −0.531631 | + | 0.531631i | ||||
\(874\) | −0.537476 | + | 0.283820i | −0.0181804 | + | 0.00960037i | ||||
\(875\) | −6.89880 | − | 22.4784i | −0.233222 | − | 0.759910i | ||||
\(876\) | −7.43969 | + | 10.8954i | −0.251364 | + | 0.368121i | ||||
\(877\) | −9.81104 | − | 9.81104i | −0.331295 | − | 0.331295i | 0.521783 | − | 0.853078i | \(-0.325267\pi\) |
−0.853078 | + | 0.521783i | \(0.825267\pi\) | |||||||
\(878\) | −0.0765895 | + | 0.247984i | −0.00258477 | + | 0.00836907i | ||||
\(879\) | − | 9.61194i | − | 0.324203i | ||||||
\(880\) | 31.2442 | + | 34.6584i | 1.05324 | + | 1.16833i | ||||
\(881\) | −10.8207 | −0.364560 | −0.182280 | − | 0.983247i | \(-0.558348\pi\) | ||||
−0.182280 | + | 0.983247i | \(0.558348\pi\) | |||||||
\(882\) | −2.54794 | + | 8.24983i | −0.0857938 | + | 0.277786i | ||||
\(883\) | −34.4122 | + | 34.4122i | −1.15806 | + | 1.15806i | −0.173171 | + | 0.984892i | \(0.555401\pi\) |
−0.984892 | + | 0.173171i | \(0.944599\pi\) | |||||||
\(884\) | −2.12451 | + | 7.81065i | −0.0714551 | + | 0.262701i | ||||
\(885\) | 17.0777 | + | 7.71547i | 0.574061 | + | 0.259353i | ||||
\(886\) | −5.31739 | − | 10.0697i | −0.178641 | − | 0.338297i | ||||
\(887\) | −16.6500 | − | 16.6500i | −0.559053 | − | 0.559053i | 0.369985 | − | 0.929038i | \(-0.379363\pi\) |
−0.929038 | + | 0.369985i | \(0.879363\pi\) | |||||||
\(888\) | −8.08495 | + | 6.43346i | −0.271313 | + | 0.215893i | ||||
\(889\) | −13.7763 | −0.462043 | ||||||||
\(890\) | −1.26269 | − | 20.5038i | −0.0423254 | − | 0.687287i | ||||
\(891\) | 19.4103 | 0.650268 | ||||||||
\(892\) | 6.32351 | + | 33.5510i | 0.211727 | + | 1.12337i | ||||
\(893\) | 0.344576 | + | 0.344576i | 0.0115308 | + | 0.0115308i | ||||
\(894\) | −4.99176 | − | 9.45299i | −0.166949 | − | 0.316155i | ||||
\(895\) | 40.8871 | − | 15.4395i | 1.36670 | − | 0.516086i | ||||
\(896\) | 22.9982 | − | 6.10113i | 0.768317 | − | 0.203824i | ||||
\(897\) | −10.8947 | − | 5.28782i | −0.363762 | − | 0.176555i | ||||
\(898\) | 13.8743 | − | 44.9229i | 0.462993 | − | 1.49910i | ||||
\(899\) | − | 17.5571i | − | 0.585564i | ||||||
\(900\) | −2.90701 | − | 23.5128i | −0.0969003 | − | 0.783759i | ||||
\(901\) | −11.0230 | −0.367228 | ||||||||
\(902\) | −45.6742 | − | 14.1064i | −1.52078 | − | 0.469691i | ||||
\(903\) | −4.10130 | − | 4.10130i | −0.136483 | − | 0.136483i | ||||
\(904\) | −47.6863 | − | 5.42441i | −1.58602 | − | 0.180413i | ||||
\(905\) | 23.4473 | − | 8.85401i | 0.779414 | − | 0.294317i | ||||
\(906\) | −1.94572 | − | 3.68465i | −0.0646422 | − | 0.122414i | ||||
\(907\) | −1.80681 | − | 1.80681i | −0.0599942 | − | 0.0599942i | 0.676473 | − | 0.736467i | \(-0.263507\pi\) |
−0.736467 | + | 0.676473i | \(0.763507\pi\) | |||||||
\(908\) | 26.9876 | − | 5.08648i | 0.895615 | − | 0.168801i | ||||
\(909\) | − | 44.7671i | − | 1.48483i | ||||||
\(910\) | −22.1321 | + | 9.22811i | −0.733673 | + | 0.305909i | ||||
\(911\) | − | 43.0711i | − | 1.42701i | −0.700651 | − | 0.713504i | \(-0.747107\pi\) | ||
0.700651 | − | 0.713504i | \(-0.252893\pi\) | |||||||
\(912\) | 0.129538 | − | 0.295758i | 0.00428944 | − | 0.00979352i | ||||
\(913\) | −53.7215 | − | 53.7215i | −1.77792 | − | 1.77792i | ||||
\(914\) | −7.84075 | + | 4.14040i | −0.259349 | + | 0.136952i | ||||
\(915\) | −1.09451 | + | 2.42262i | −0.0361832 | + | 0.0800893i | ||||
\(916\) | −16.0928 | − | 10.9886i | −0.531721 | − | 0.363075i | ||||
\(917\) | −31.0051 | − | 31.0051i | −1.02388 | − | 1.02388i | ||||
\(918\) | −1.99766 | + | 6.46810i | −0.0659327 | + | 0.213479i | ||||
\(919\) | −5.15410 | −0.170018 | −0.0850090 | − | 0.996380i | \(-0.527092\pi\) | ||||
−0.0850090 | + | 0.996380i | \(0.527092\pi\) | |||||||
\(920\) | 6.55982 | + | 25.9287i | 0.216271 | + | 0.854845i | ||||
\(921\) | − | 14.9462i | − | 0.492495i | ||||||
\(922\) | 44.5766 | + | 13.7674i | 1.46805 | + | 0.453406i | ||||
\(923\) | 2.73218 | − | 5.62920i | 0.0899309 | − | 0.185287i | ||||
\(924\) | 9.82818 | − | 14.3933i | 0.323323 | − | 0.473506i | ||||
\(925\) | −22.9508 | − | 1.45423i | −0.754617 | − | 0.0478147i | ||||
\(926\) | 25.2646 | − | 13.3412i | 0.830245 | − | 0.438420i | ||||
\(927\) | −18.8353 | − | 18.8353i | −0.618633 | − | 0.618633i | ||||
\(928\) | 1.30367 | + | 17.8207i | 0.0427949 | + | 0.584995i | ||||
\(929\) | 12.7259 | 0.417523 | 0.208762 | − | 0.977967i | \(-0.433057\pi\) | ||||
0.208762 | + | 0.977967i | \(0.433057\pi\) | |||||||
\(930\) | 10.4596 | + | 9.24604i | 0.342983 | + | 0.303190i | ||||
\(931\) | −0.261907 | −0.00858365 | ||||||||
\(932\) | −1.25755 | − | 6.67224i | −0.0411924 | − | 0.218556i | ||||
\(933\) | −6.95606 | − | 6.95606i | −0.227731 | − | 0.227731i | ||||
\(934\) | 37.5988 | − | 19.8545i | 1.23027 | − | 0.649658i | ||||
\(935\) | 5.39131 | − | 11.9333i | 0.176315 | − | 0.390261i | ||||
\(936\) | −23.5772 | + | 5.27893i | −0.770646 | + | 0.172547i | ||||
\(937\) | −2.50749 | + | 2.50749i | −0.0819160 | + | 0.0819160i | −0.746878 | − | 0.664962i | \(-0.768448\pi\) |
0.664962 | + | 0.746878i | \(0.268448\pi\) | |||||||
\(938\) | 25.6231 | + | 7.91363i | 0.836622 | + | 0.258389i | ||||
\(939\) | 10.2304 | 0.333857 | ||||||||
\(940\) | 18.3103 | − | 11.1595i | 0.597216 | − | 0.363981i | ||||
\(941\) | 4.79697i | 0.156377i | 0.996939 | + | 0.0781884i | \(0.0249136\pi\) | ||||
−0.996939 | + | 0.0781884i | \(0.975086\pi\) | |||||||
\(942\) | −3.87335 | − | 1.19628i | −0.126201 | − | 0.0389768i | ||||
\(943\) | −19.3742 | − | 19.3742i | −0.630910 | − | 0.630910i | ||||
\(944\) | −39.3112 | + | 15.3641i | −1.27947 | + | 0.500060i | ||||
\(945\) | −18.7611 | + | 7.08445i | −0.610299 | + | 0.230457i | ||||
\(946\) | 11.9630 | + | 22.6546i | 0.388951 | + | 0.736564i | ||||
\(947\) | 17.0867 | − | 17.0867i | 0.555243 | − | 0.555243i | −0.372706 | − | 0.927949i | \(-0.621570\pi\) |
0.927949 | + | 0.372706i | \(0.121570\pi\) | |||||||
\(948\) | −2.23592 | + | 0.421414i | −0.0726193 | + | 0.0136869i | ||||
\(949\) | 9.80372 | + | 28.2955i | 0.318242 | + | 0.918512i | ||||
\(950\) | 0.655435 | − | 0.294718i | 0.0212651 | − | 0.00956193i | ||||
\(951\) | 11.0674 | 0.358884 | ||||||||
\(952\) | −4.15754 | − | 5.22480i | −0.134747 | − | 0.169337i | ||||
\(953\) | −24.3625 | − | 24.3625i | −0.789180 | − | 0.789180i | 0.192180 | − | 0.981360i | \(-0.438444\pi\) |
−0.981360 | + | 0.192180i | \(0.938444\pi\) | |||||||
\(954\) | −15.3639 | − | 29.0949i | −0.497424 | − | 0.941982i | ||||
\(955\) | 11.3988 | + | 30.1865i | 0.368857 | + | 0.976812i | ||||
\(956\) | 16.7270 | − | 24.4967i | 0.540991 | − | 0.792279i | ||||
\(957\) | 9.25492 | + | 9.25492i | 0.299169 | + | 0.299169i | ||||
\(958\) | 38.1111 | + | 11.7705i | 1.23131 | + | 0.380289i | ||||
\(959\) | −0.355424 | −0.0114773 | ||||||||
\(960\) | −11.3032 | − | 8.60821i | −0.364808 | − | 0.277829i | ||||
\(961\) | −0.105013 | −0.00338750 | ||||||||
\(962\) | 0.796693 | + | 23.4387i | 0.0256864 | + | 0.755694i | ||||
\(963\) | 31.5873 | − | 31.5873i | 1.01789 | − | 1.01789i | ||||
\(964\) | −10.5998 | + | 15.5234i | −0.341398 | + | 0.499975i | ||||
\(965\) | 9.51840 | − | 21.0684i | 0.306408 | − | 0.678216i | ||||
\(966\) | 8.83364 | − | 4.66470i | 0.284218 | − | 0.150084i | ||||
\(967\) | 11.1363 | − | 11.1363i | 0.358120 | − | 0.358120i | −0.504999 | − | 0.863120i | \(-0.668507\pi\) |
0.863120 | + | 0.504999i | \(0.168507\pi\) | |||||||
\(968\) | −35.8933 | + | 28.5614i | −1.15365 | + | 0.917999i | ||||
\(969\) | −0.0906084 | −0.00291076 | ||||||||
\(970\) | −19.6378 | + | 22.2153i | −0.630532 | + | 0.713289i | ||||
\(971\) | 43.4865i | 1.39555i | 0.716318 | + | 0.697774i | \(0.245826\pi\) | ||||
−0.716318 | + | 0.697774i | \(0.754174\pi\) | |||||||
\(972\) | −30.9517 | + | 5.83360i | −0.992775 | + | 0.187113i | ||||
\(973\) | −30.0249 | + | 30.0249i | −0.962555 | + | 0.962555i | ||||
\(974\) | −5.23246 | − | 9.90881i | −0.167659 | − | 0.317499i | ||||
\(975\) | 12.4602 | + | 7.05412i | 0.399045 | + | 0.225913i | ||||
\(976\) | −2.17953 | − | 5.57664i | −0.0697651 | − | 0.178504i | ||||
\(977\) | −21.5772 | − | 21.5772i | −0.690315 | − | 0.690315i | 0.271986 | − | 0.962301i | \(-0.412320\pi\) |
−0.962301 | + | 0.271986i | \(0.912320\pi\) | |||||||
\(978\) | 1.77731 | − | 5.75465i | 0.0568322 | − | 0.184014i | ||||
\(979\) | 33.8907 | 1.08315 | ||||||||
\(980\) | −2.71761 | + | 11.1997i | −0.0868110 | + | 0.357763i | ||||
\(981\) | 40.9834i | 1.30850i | ||||||||
\(982\) | 26.7452 | + | 8.26022i | 0.853475 | + | 0.263594i | ||||
\(983\) | 26.7928 | + | 26.7928i | 0.854556 | + | 0.854556i | 0.990690 | − | 0.136134i | \(-0.0434679\pi\) |
−0.136134 | + | 0.990690i | \(0.543468\pi\) | |||||||
\(984\) | 14.4618 | + | 1.64505i | 0.461024 | + | 0.0524424i | ||||
\(985\) | 13.2081 | + | 5.96722i | 0.420844 | + | 0.190131i | ||||
\(986\) | 4.43405 | − | 2.34145i | 0.141209 | − | 0.0745669i | ||||
\(987\) | −5.66325 | − | 5.66325i | −0.180263 | − | 0.180263i | ||||
\(988\) | −0.364039 | − | 0.636072i | −0.0115816 | − | 0.0202361i | ||||
\(989\) | 14.6841i | 0.466929i | ||||||||
\(990\) | 39.0122 | − | 2.40250i | 1.23989 | − | 0.0763564i | ||||
\(991\) | 27.9850i | 0.888974i | 0.895785 | + | 0.444487i | \(0.146614\pi\) | ||||
−0.895785 | + | 0.444487i | \(0.853386\pi\) | |||||||
\(992\) | −31.3588 | + | 2.29404i | −0.995644 | + | 0.0728357i | ||||
\(993\) | −15.0935 | + | 15.0935i | −0.478979 | + | 0.478979i | ||||
\(994\) | 2.41022 | + | 4.56428i | 0.0764476 | + | 0.144770i | ||||
\(995\) | −3.88584 | + | 1.46734i | −0.123189 | + | 0.0465179i | ||||
\(996\) | 19.1037 | + | 13.0445i | 0.605323 | + | 0.413332i | ||||
\(997\) | 0.965726 | − | 0.965726i | 0.0305848 | − | 0.0305848i | −0.691649 | − | 0.722234i | \(-0.743115\pi\) |
0.722234 | + | 0.691649i | \(0.243115\pi\) | |||||||
\(998\) | −20.4348 | − | 6.31124i | −0.646852 | − | 0.199779i | ||||
\(999\) | 19.6137i | 0.620549i |
(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 | 260.2.p.d.103.19 | yes | 64 | |
4.3 | odd | 2 | inner | 260.2.p.d.103.3 | ✓ | 64 | |
5.2 | odd | 4 | inner | 260.2.p.d.207.30 | yes | 64 | |
13.12 | even | 2 | inner | 260.2.p.d.103.14 | yes | 64 | |
20.7 | even | 4 | inner | 260.2.p.d.207.14 | yes | 64 | |
52.51 | odd | 2 | inner | 260.2.p.d.103.30 | yes | 64 | |
65.12 | odd | 4 | inner | 260.2.p.d.207.3 | yes | 64 | |
260.207 | even | 4 | inner | 260.2.p.d.207.19 | yes | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
260.2.p.d.103.3 | ✓ | 64 | 4.3 | odd | 2 | inner | |
260.2.p.d.103.14 | yes | 64 | 13.12 | even | 2 | inner | |
260.2.p.d.103.19 | yes | 64 | 1.1 | even | 1 | trivial | |
260.2.p.d.103.30 | yes | 64 | 52.51 | odd | 2 | inner | |
260.2.p.d.207.3 | yes | 64 | 65.12 | odd | 4 | inner | |
260.2.p.d.207.14 | yes | 64 | 20.7 | even | 4 | inner | |
260.2.p.d.207.19 | yes | 64 | 260.207 | even | 4 | inner | |
260.2.p.d.207.30 | yes | 64 | 5.2 | odd | 4 | inner |