Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [690,2,Mod(689,690)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(690, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("690.689");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 690.h (of order \(2\), degree \(1\), 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: | \(5.50967773947\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 689.19 | ||
Character | \(\chi\) | \(=\) | 690.689 |
Dual form | 690.2.h.b.689.17 |
$q$-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 \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).
\(n\) | \(277\) | \(461\) | \(511\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.00000 | 0.707107 | ||||||||
\(3\) | 1.29400 | + | 1.15133i | 0.747093 | + | 0.664720i | ||||
\(4\) | 1.00000 | 0.500000 | ||||||||
\(5\) | −2.22484 | + | 0.223804i | −0.994979 | + | 0.100088i | ||||
\(6\) | 1.29400 | + | 1.15133i | 0.528274 | + | 0.470028i | ||||
\(7\) | −0.666856 | −0.252048 | −0.126024 | − | 0.992027i | \(-0.540222\pi\) | ||||
−0.126024 | + | 0.992027i | \(0.540222\pi\) | |||||||
\(8\) | 1.00000 | 0.353553 | ||||||||
\(9\) | 0.348885 | + | 2.97964i | 0.116295 | + | 0.993215i | ||||
\(10\) | −2.22484 | + | 0.223804i | −0.703556 | + | 0.0707731i | ||||
\(11\) | 4.92726 | 1.48562 | 0.742812 | − | 0.669500i | \(-0.233491\pi\) | ||||
0.742812 | + | 0.669500i | \(0.233491\pi\) | |||||||
\(12\) | 1.29400 | + | 1.15133i | 0.373546 | + | 0.332360i | ||||
\(13\) | 3.71145i | 1.02937i | 0.857379 | + | 0.514685i | \(0.172091\pi\) | ||||
−0.857379 | + | 0.514685i | \(0.827909\pi\) | |||||||
\(14\) | −0.666856 | −0.178225 | ||||||||
\(15\) | −3.13662 | − | 2.27192i | −0.809872 | − | 0.586607i | ||||
\(16\) | 1.00000 | 0.250000 | ||||||||
\(17\) | − | 0.810614i | − | 0.196603i | −0.995157 | − | 0.0983013i | \(-0.968659\pi\) | ||
0.995157 | − | 0.0983013i | \(-0.0313409\pi\) | |||||||
\(18\) | 0.348885 | + | 2.97964i | 0.0822330 | + | 0.702309i | ||||
\(19\) | 4.16671i | 0.955908i | 0.878385 | + | 0.477954i | \(0.158621\pi\) | ||||
−0.878385 | + | 0.477954i | \(0.841379\pi\) | |||||||
\(20\) | −2.22484 | + | 0.223804i | −0.497489 | + | 0.0500441i | ||||
\(21\) | −0.862914 | − | 0.767771i | −0.188303 | − | 0.167541i | ||||
\(22\) | 4.92726 | 1.05050 | ||||||||
\(23\) | 1.14656 | + | 4.65676i | 0.239074 | + | 0.971001i | ||||
\(24\) | 1.29400 | + | 1.15133i | 0.264137 | + | 0.235014i | ||||
\(25\) | 4.89982 | − | 0.995856i | 0.979965 | − | 0.199171i | ||||
\(26\) | 3.71145i | 0.727874i | ||||||||
\(27\) | −2.97909 | + | 4.25735i | −0.573326 | + | 0.819327i | ||||
\(28\) | −0.666856 | −0.126024 | ||||||||
\(29\) | − | 9.02232i | − | 1.67540i | −0.546129 | − | 0.837701i | \(-0.683899\pi\) | ||
0.546129 | − | 0.837701i | \(-0.316101\pi\) | |||||||
\(30\) | −3.13662 | − | 2.27192i | −0.572666 | − | 0.414794i | ||||
\(31\) | −6.13458 | −1.10180 | −0.550902 | − | 0.834570i | \(-0.685716\pi\) | ||||
−0.550902 | + | 0.834570i | \(0.685716\pi\) | |||||||
\(32\) | 1.00000 | 0.176777 | ||||||||
\(33\) | 6.37589 | + | 5.67289i | 1.10990 | + | 0.987524i | ||||
\(34\) | − | 0.810614i | − | 0.139019i | ||||||
\(35\) | 1.48365 | − | 0.149245i | 0.250782 | − | 0.0252270i | ||||
\(36\) | 0.348885 | + | 2.97964i | 0.0581475 | + | 0.496607i | ||||
\(37\) | −2.21928 | −0.364848 | −0.182424 | − | 0.983220i | \(-0.558394\pi\) | ||||
−0.182424 | + | 0.983220i | \(0.558394\pi\) | |||||||
\(38\) | 4.16671i | 0.675929i | ||||||||
\(39\) | −4.27309 | + | 4.80262i | −0.684243 | + | 0.769035i | ||||
\(40\) | −2.22484 | + | 0.223804i | −0.351778 | + | 0.0353865i | ||||
\(41\) | − | 2.54295i | − | 0.397143i | −0.980086 | − | 0.198571i | \(-0.936370\pi\) | ||
0.980086 | − | 0.198571i | \(-0.0636302\pi\) | |||||||
\(42\) | −0.862914 | − | 0.767771i | −0.133151 | − | 0.118470i | ||||
\(43\) | 3.56526 | 0.543698 | 0.271849 | − | 0.962340i | \(-0.412365\pi\) | ||||
0.271849 | + | 0.962340i | \(0.412365\pi\) | |||||||
\(44\) | 4.92726 | 0.742812 | ||||||||
\(45\) | −1.44307 | − | 6.55115i | −0.215120 | − | 0.976588i | ||||
\(46\) | 1.14656 | + | 4.65676i | 0.169051 | + | 0.686602i | ||||
\(47\) | 10.0928 | 1.47218 | 0.736090 | − | 0.676883i | \(-0.236670\pi\) | ||||
0.736090 | + | 0.676883i | \(0.236670\pi\) | |||||||
\(48\) | 1.29400 | + | 1.15133i | 0.186773 | + | 0.166180i | ||||
\(49\) | −6.55530 | −0.936472 | ||||||||
\(50\) | 4.89982 | − | 0.995856i | 0.692940 | − | 0.140835i | ||||
\(51\) | 0.933283 | − | 1.04894i | 0.130686 | − | 0.146880i | ||||
\(52\) | 3.71145i | 0.514685i | ||||||||
\(53\) | − | 10.6281i | − | 1.45988i | −0.683511 | − | 0.729940i | \(-0.739548\pi\) | ||
0.683511 | − | 0.729940i | \(-0.260452\pi\) | |||||||
\(54\) | −2.97909 | + | 4.25735i | −0.405403 | + | 0.579352i | ||||
\(55\) | −10.9624 | + | 1.10274i | −1.47816 | + | 0.148694i | ||||
\(56\) | −0.666856 | −0.0891124 | ||||||||
\(57\) | −4.79725 | + | 5.39173i | −0.635411 | + | 0.714152i | ||||
\(58\) | − | 9.02232i | − | 1.18469i | ||||||
\(59\) | − | 6.81080i | − | 0.886690i | −0.896351 | − | 0.443345i | \(-0.853792\pi\) | ||
0.896351 | − | 0.443345i | \(-0.146208\pi\) | |||||||
\(60\) | −3.13662 | − | 2.27192i | −0.404936 | − | 0.293303i | ||||
\(61\) | − | 9.21371i | − | 1.17969i | −0.807515 | − | 0.589847i | \(-0.799188\pi\) | ||
0.807515 | − | 0.589847i | \(-0.200812\pi\) | |||||||
\(62\) | −6.13458 | −0.779092 | ||||||||
\(63\) | −0.232656 | − | 1.98699i | −0.0293119 | − | 0.250338i | ||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | −0.830637 | − | 8.25737i | −0.103028 | − | 1.02420i | ||||
\(66\) | 6.37589 | + | 5.67289i | 0.784817 | + | 0.698285i | ||||
\(67\) | −7.95053 | −0.971312 | −0.485656 | − | 0.874150i | \(-0.661419\pi\) | ||||
−0.485656 | + | 0.874150i | \(0.661419\pi\) | |||||||
\(68\) | − | 0.810614i | − | 0.0983013i | ||||||
\(69\) | −3.87781 | + | 7.34592i | −0.466834 | + | 0.884345i | ||||
\(70\) | 1.48365 | − | 0.149245i | 0.177330 | − | 0.0178382i | ||||
\(71\) | − | 14.5288i | − | 1.72425i | −0.506695 | − | 0.862126i | \(-0.669133\pi\) | ||
0.506695 | − | 0.862126i | \(-0.330867\pi\) | |||||||
\(72\) | 0.348885 | + | 2.97964i | 0.0411165 | + | 0.351154i | ||||
\(73\) | 4.84561i | 0.567136i | 0.958952 | + | 0.283568i | \(0.0915181\pi\) | ||||
−0.958952 | + | 0.283568i | \(0.908482\pi\) | |||||||
\(74\) | −2.21928 | −0.257986 | ||||||||
\(75\) | 7.48694 | + | 4.35267i | 0.864518 | + | 0.502603i | ||||
\(76\) | 4.16671i | 0.477954i | ||||||||
\(77\) | −3.28577 | −0.374449 | ||||||||
\(78\) | −4.27309 | + | 4.80262i | −0.483833 | + | 0.543790i | ||||
\(79\) | − | 11.5161i | − | 1.29566i | −0.761785 | − | 0.647830i | \(-0.775677\pi\) | ||
0.761785 | − | 0.647830i | \(-0.224323\pi\) | |||||||
\(80\) | −2.22484 | + | 0.223804i | −0.248745 | + | 0.0250221i | ||||
\(81\) | −8.75656 | + | 2.07911i | −0.972951 | + | 0.231012i | ||||
\(82\) | − | 2.54295i | − | 0.280822i | ||||||
\(83\) | 13.5358i | 1.48575i | 0.669433 | + | 0.742873i | \(0.266537\pi\) | ||||
−0.669433 | + | 0.742873i | \(0.733463\pi\) | |||||||
\(84\) | −0.862914 | − | 0.767771i | −0.0941516 | − | 0.0837707i | ||||
\(85\) | 0.181419 | + | 1.80349i | 0.0196776 | + | 0.195615i | ||||
\(86\) | 3.56526 | 0.384452 | ||||||||
\(87\) | 10.3877 | − | 11.6749i | 1.11367 | − | 1.25168i | ||||
\(88\) | 4.92726 | 0.525248 | ||||||||
\(89\) | 12.5342 | 1.32862 | 0.664312 | − | 0.747455i | \(-0.268725\pi\) | ||||
0.664312 | + | 0.747455i | \(0.268725\pi\) | |||||||
\(90\) | −1.44307 | − | 6.55115i | −0.152113 | − | 0.690552i | ||||
\(91\) | − | 2.47500i | − | 0.259451i | ||||||
\(92\) | 1.14656 | + | 4.65676i | 0.119537 | + | 0.485501i | ||||
\(93\) | −7.93816 | − | 7.06292i | −0.823149 | − | 0.732390i | ||||
\(94\) | 10.0928 | 1.04099 | ||||||||
\(95\) | −0.932526 | − | 9.27026i | −0.0956752 | − | 0.951108i | ||||
\(96\) | 1.29400 | + | 1.15133i | 0.132069 | + | 0.117507i | ||||
\(97\) | 1.04670 | 0.106277 | 0.0531383 | − | 0.998587i | \(-0.483078\pi\) | ||||
0.0531383 | + | 0.998587i | \(0.483078\pi\) | |||||||
\(98\) | −6.55530 | −0.662186 | ||||||||
\(99\) | 1.71905 | + | 14.6815i | 0.172771 | + | 1.47554i | ||||
\(100\) | 4.89982 | − | 0.995856i | 0.489982 | − | 0.0995856i | ||||
\(101\) | 11.5777i | 1.15203i | 0.817440 | + | 0.576013i | \(0.195392\pi\) | ||||
−0.817440 | + | 0.576013i | \(0.804608\pi\) | |||||||
\(102\) | 0.933283 | − | 1.04894i | 0.0924087 | − | 0.103860i | ||||
\(103\) | 14.2870 | 1.40774 | 0.703871 | − | 0.710327i | \(-0.251453\pi\) | ||||
0.703871 | + | 0.710327i | \(0.251453\pi\) | |||||||
\(104\) | 3.71145i | 0.363937i | ||||||||
\(105\) | 2.09168 | + | 1.51504i | 0.204127 | + | 0.147853i | ||||
\(106\) | − | 10.6281i | − | 1.03229i | ||||||
\(107\) | − | 10.4647i | − | 1.01166i | −0.862633 | − | 0.505830i | \(-0.831186\pi\) | ||
0.862633 | − | 0.505830i | \(-0.168814\pi\) | |||||||
\(108\) | −2.97909 | + | 4.25735i | −0.286663 | + | 0.409664i | ||||
\(109\) | 7.00879i | 0.671321i | 0.941983 | + | 0.335660i | \(0.108959\pi\) | ||||
−0.941983 | + | 0.335660i | \(0.891041\pi\) | |||||||
\(110\) | −10.9624 | + | 1.10274i | −1.04522 | + | 0.105142i | ||||
\(111\) | −2.87176 | − | 2.55512i | −0.272575 | − | 0.242522i | ||||
\(112\) | −0.666856 | −0.0630120 | ||||||||
\(113\) | 14.6901i | 1.38193i | 0.722888 | + | 0.690965i | \(0.242814\pi\) | ||||
−0.722888 | + | 0.690965i | \(0.757186\pi\) | |||||||
\(114\) | −4.79725 | + | 5.39173i | −0.449304 | + | 0.504982i | ||||
\(115\) | −3.59311 | − | 10.1039i | −0.335059 | − | 0.942197i | ||||
\(116\) | − | 9.02232i | − | 0.837701i | ||||||
\(117\) | −11.0588 | + | 1.29487i | −1.02239 | + | 0.119711i | ||||
\(118\) | − | 6.81080i | − | 0.626985i | ||||||
\(119\) | 0.540563i | 0.0495533i | ||||||||
\(120\) | −3.13662 | − | 2.27192i | −0.286333 | − | 0.207397i | ||||
\(121\) | 13.2779 | 1.20708 | ||||||||
\(122\) | − | 9.21371i | − | 0.834170i | ||||||
\(123\) | 2.92778 | − | 3.29059i | 0.263989 | − | 0.296702i | ||||
\(124\) | −6.13458 | −0.550902 | ||||||||
\(125\) | −10.6784 | + | 3.31222i | −0.955109 | + | 0.296254i | ||||
\(126\) | −0.232656 | − | 1.98699i | −0.0207267 | − | 0.177016i | ||||
\(127\) | 1.83972i | 0.163249i | 0.996663 | + | 0.0816245i | \(0.0260108\pi\) | ||||
−0.996663 | + | 0.0816245i | \(0.973989\pi\) | |||||||
\(128\) | 1.00000 | 0.0883883 | ||||||||
\(129\) | 4.61346 | + | 4.10479i | 0.406192 | + | 0.361407i | ||||
\(130\) | −0.830637 | − | 8.25737i | −0.0728517 | − | 0.724219i | ||||
\(131\) | − | 6.59703i | − | 0.576385i | −0.957573 | − | 0.288192i | \(-0.906946\pi\) | ||
0.957573 | − | 0.288192i | \(-0.0930543\pi\) | |||||||
\(132\) | 6.37589 | + | 5.67289i | 0.554950 | + | 0.493762i | ||||
\(133\) | − | 2.77860i | − | 0.240935i | ||||||
\(134\) | −7.95053 | −0.686821 | ||||||||
\(135\) | 5.67519 | − | 10.1387i | 0.488443 | − | 0.872596i | ||||
\(136\) | − | 0.810614i | − | 0.0695095i | ||||||
\(137\) | − | 16.5441i | − | 1.41346i | −0.707485 | − | 0.706728i | \(-0.750170\pi\) | ||
0.707485 | − | 0.706728i | \(-0.249830\pi\) | |||||||
\(138\) | −3.87781 | + | 7.34592i | −0.330101 | + | 0.625326i | ||||
\(139\) | 5.46913 | 0.463885 | 0.231943 | − | 0.972729i | \(-0.425492\pi\) | ||||
0.231943 | + | 0.972729i | \(0.425492\pi\) | |||||||
\(140\) | 1.48365 | − | 0.149245i | 0.125391 | − | 0.0126135i | ||||
\(141\) | 13.0601 | + | 11.6201i | 1.09986 | + | 0.978588i | ||||
\(142\) | − | 14.5288i | − | 1.21923i | ||||||
\(143\) | 18.2873i | 1.52926i | ||||||||
\(144\) | 0.348885 | + | 2.97964i | 0.0290737 | + | 0.248304i | ||||
\(145\) | 2.01923 | + | 20.0732i | 0.167688 | + | 1.66699i | ||||
\(146\) | 4.84561i | 0.401026i | ||||||||
\(147\) | −8.48258 | − | 7.54731i | −0.699631 | − | 0.622491i | ||||
\(148\) | −2.21928 | −0.182424 | ||||||||
\(149\) | 2.91067 | 0.238452 | 0.119226 | − | 0.992867i | \(-0.461959\pi\) | ||||
0.119226 | + | 0.992867i | \(0.461959\pi\) | |||||||
\(150\) | 7.48694 | + | 4.35267i | 0.611306 | + | 0.355394i | ||||
\(151\) | 5.50476 | 0.447971 | 0.223985 | − | 0.974592i | \(-0.428093\pi\) | ||||
0.223985 | + | 0.974592i | \(0.428093\pi\) | |||||||
\(152\) | 4.16671i | 0.337965i | ||||||||
\(153\) | 2.41534 | − | 0.282811i | 0.195269 | − | 0.0228639i | ||||
\(154\) | −3.28577 | −0.264775 | ||||||||
\(155\) | 13.6485 | − | 1.37294i | 1.09627 | − | 0.110278i | ||||
\(156\) | −4.27309 | + | 4.80262i | −0.342121 | + | 0.384517i | ||||
\(157\) | −8.36290 | −0.667432 | −0.333716 | − | 0.942674i | \(-0.608303\pi\) | ||||
−0.333716 | + | 0.942674i | \(0.608303\pi\) | |||||||
\(158\) | − | 11.5161i | − | 0.916170i | ||||||
\(159\) | 12.2364 | − | 13.7528i | 0.970412 | − | 1.09067i | ||||
\(160\) | −2.22484 | + | 0.223804i | −0.175889 | + | 0.0176933i | ||||
\(161\) | −0.764590 | − | 3.10539i | −0.0602581 | − | 0.244739i | ||||
\(162\) | −8.75656 | + | 2.07911i | −0.687980 | + | 0.163350i | ||||
\(163\) | 12.1701i | 0.953233i | 0.879111 | + | 0.476617i | \(0.158137\pi\) | ||||
−0.879111 | + | 0.476617i | \(0.841863\pi\) | |||||||
\(164\) | − | 2.54295i | − | 0.198571i | ||||||
\(165\) | −15.4549 | − | 11.1943i | −1.20317 | − | 0.871478i | ||||
\(166\) | 13.5358i | 1.05058i | ||||||||
\(167\) | −14.3712 | −1.11208 | −0.556038 | − | 0.831157i | \(-0.687679\pi\) | ||||
−0.556038 | + | 0.831157i | \(0.687679\pi\) | |||||||
\(168\) | −0.862914 | − | 0.767771i | −0.0665753 | − | 0.0592348i | ||||
\(169\) | −0.774832 | −0.0596025 | ||||||||
\(170\) | 0.181419 | + | 1.80349i | 0.0139142 | + | 0.138321i | ||||
\(171\) | −12.4153 | + | 1.45370i | −0.949422 | + | 0.111167i | ||||
\(172\) | 3.56526 | 0.271849 | ||||||||
\(173\) | −18.2848 | −1.39017 | −0.695085 | − | 0.718927i | \(-0.744633\pi\) | ||||
−0.695085 | + | 0.718927i | \(0.744633\pi\) | |||||||
\(174\) | 10.3877 | − | 11.6749i | 0.787486 | − | 0.885072i | ||||
\(175\) | −3.26748 | + | 0.664093i | −0.246998 | + | 0.0502007i | ||||
\(176\) | 4.92726 | 0.371406 | ||||||||
\(177\) | 7.84146 | − | 8.81319i | 0.589401 | − | 0.662440i | ||||
\(178\) | 12.5342 | 0.939479 | ||||||||
\(179\) | 5.02306i | 0.375441i | 0.982222 | + | 0.187721i | \(0.0601099\pi\) | ||||
−0.982222 | + | 0.187721i | \(0.939890\pi\) | |||||||
\(180\) | −1.44307 | − | 6.55115i | −0.107560 | − | 0.488294i | ||||
\(181\) | − | 0.342921i | − | 0.0254891i | −0.999919 | − | 0.0127445i | \(-0.995943\pi\) | ||
0.999919 | − | 0.0127445i | \(-0.00405682\pi\) | |||||||
\(182\) | − | 2.47500i | − | 0.183459i | ||||||
\(183\) | 10.6080 | − | 11.9226i | 0.784166 | − | 0.881341i | ||||
\(184\) | 1.14656 | + | 4.65676i | 0.0845254 | + | 0.343301i | ||||
\(185\) | 4.93755 | − | 0.496684i | 0.363016 | − | 0.0365170i | ||||
\(186\) | −7.93816 | − | 7.06292i | −0.582054 | − | 0.517878i | ||||
\(187\) | − | 3.99410i | − | 0.292078i | ||||||
\(188\) | 10.0928 | 0.736090 | ||||||||
\(189\) | 1.98663 | − | 2.83904i | 0.144506 | − | 0.206510i | ||||
\(190\) | −0.932526 | − | 9.27026i | −0.0676525 | − | 0.672535i | ||||
\(191\) | −26.5716 | −1.92265 | −0.961325 | − | 0.275416i | \(-0.911184\pi\) | ||||
−0.961325 | + | 0.275416i | \(0.911184\pi\) | |||||||
\(192\) | 1.29400 | + | 1.15133i | 0.0933866 | + | 0.0830900i | ||||
\(193\) | 0.121042i | 0.00871281i | 0.999991 | + | 0.00435640i | \(0.00138669\pi\) | ||||
−0.999991 | + | 0.00435640i | \(0.998613\pi\) | |||||||
\(194\) | 1.04670 | 0.0751489 | ||||||||
\(195\) | 8.43210 | − | 11.6414i | 0.603835 | − | 0.833658i | ||||
\(196\) | −6.55530 | −0.468236 | ||||||||
\(197\) | 4.06795 | 0.289829 | 0.144915 | − | 0.989444i | \(-0.453709\pi\) | ||||
0.144915 | + | 0.989444i | \(0.453709\pi\) | |||||||
\(198\) | 1.71905 | + | 14.6815i | 0.122167 | + | 1.04337i | ||||
\(199\) | 3.82379i | 0.271061i | 0.990773 | + | 0.135531i | \(0.0432739\pi\) | ||||
−0.990773 | + | 0.135531i | \(0.956726\pi\) | |||||||
\(200\) | 4.89982 | − | 0.995856i | 0.346470 | − | 0.0704177i | ||||
\(201\) | −10.2880 | − | 9.15367i | −0.725660 | − | 0.645650i | ||||
\(202\) | 11.5777i | 0.814606i | ||||||||
\(203\) | 6.01659i | 0.422282i | ||||||||
\(204\) | 0.933283 | − | 1.04894i | 0.0653429 | − | 0.0734402i | ||||
\(205\) | 0.569123 | + | 5.65766i | 0.0397493 | + | 0.395148i | ||||
\(206\) | 14.2870 | 0.995425 | ||||||||
\(207\) | −13.4755 | + | 5.04101i | −0.936610 | + | 0.350374i | ||||
\(208\) | 3.71145i | 0.257342i | ||||||||
\(209\) | 20.5304i | 1.42012i | ||||||||
\(210\) | 2.09168 | + | 1.51504i | 0.144339 | + | 0.104548i | ||||
\(211\) | −10.9491 | −0.753765 | −0.376882 | − | 0.926261i | \(-0.623004\pi\) | ||||
−0.376882 | + | 0.926261i | \(0.623004\pi\) | |||||||
\(212\) | − | 10.6281i | − | 0.729940i | ||||||
\(213\) | 16.7274 | − | 18.8003i | 1.14614 | − | 1.28818i | ||||
\(214\) | − | 10.4647i | − | 0.715352i | ||||||
\(215\) | −7.93214 | + | 0.797920i | −0.540967 | + | 0.0544177i | ||||
\(216\) | −2.97909 | + | 4.25735i | −0.202702 | + | 0.289676i | ||||
\(217\) | 4.09088 | 0.277707 | ||||||||
\(218\) | 7.00879i | 0.474695i | ||||||||
\(219\) | −5.57889 | + | 6.27023i | −0.376986 | + | 0.423703i | ||||
\(220\) | −10.9624 | + | 1.10274i | −0.739082 | + | 0.0743468i | ||||
\(221\) | 3.00855 | 0.202377 | ||||||||
\(222\) | −2.87176 | − | 2.55512i | −0.192740 | − | 0.171489i | ||||
\(223\) | − | 3.05235i | − | 0.204401i | −0.994764 | − | 0.102200i | \(-0.967412\pi\) | ||
0.994764 | − | 0.102200i | \(-0.0325883\pi\) | |||||||
\(224\) | −0.666856 | −0.0445562 | ||||||||
\(225\) | 4.67677 | + | 14.2523i | 0.311785 | + | 0.950153i | ||||
\(226\) | 14.6901i | 0.977172i | ||||||||
\(227\) | − | 16.8065i | − | 1.11549i | −0.830014 | − | 0.557743i | \(-0.811668\pi\) | ||
0.830014 | − | 0.557743i | \(-0.188332\pi\) | |||||||
\(228\) | −4.79725 | + | 5.39173i | −0.317706 | + | 0.357076i | ||||
\(229\) | − | 10.0750i | − | 0.665775i | −0.942966 | − | 0.332888i | \(-0.891977\pi\) | ||
0.942966 | − | 0.332888i | \(-0.108023\pi\) | |||||||
\(230\) | −3.59311 | − | 10.1039i | −0.236923 | − | 0.666234i | ||||
\(231\) | −4.25180 | − | 3.78301i | −0.279748 | − | 0.248904i | ||||
\(232\) | − | 9.02232i | − | 0.592344i | ||||||
\(233\) | −13.0601 | −0.855593 | −0.427796 | − | 0.903875i | \(-0.640710\pi\) | ||||
−0.427796 | + | 0.903875i | \(0.640710\pi\) | |||||||
\(234\) | −11.0588 | + | 1.29487i | −0.722936 | + | 0.0846481i | ||||
\(235\) | −22.4548 | + | 2.25880i | −1.46479 | + | 0.147348i | ||||
\(236\) | − | 6.81080i | − | 0.443345i | ||||||
\(237\) | 13.2588 | − | 14.9018i | 0.861251 | − | 0.967978i | ||||
\(238\) | 0.540563i | 0.0350395i | ||||||||
\(239\) | − | 14.5163i | − | 0.938984i | −0.882937 | − | 0.469492i | \(-0.844437\pi\) | ||
0.882937 | − | 0.469492i | \(-0.155563\pi\) | |||||||
\(240\) | −3.13662 | − | 2.27192i | −0.202468 | − | 0.146652i | ||||
\(241\) | − | 7.90101i | − | 0.508949i | −0.967079 | − | 0.254475i | \(-0.918098\pi\) | ||
0.967079 | − | 0.254475i | \(-0.0819025\pi\) | |||||||
\(242\) | 13.2779 | 0.853535 | ||||||||
\(243\) | −13.7247 | − | 7.39131i | −0.880443 | − | 0.474153i | ||||
\(244\) | − | 9.21371i | − | 0.589847i | ||||||
\(245\) | 14.5845 | − | 1.46710i | 0.931769 | − | 0.0937298i | ||||
\(246\) | 2.92778 | − | 3.29059i | 0.186668 | − | 0.209800i | ||||
\(247\) | −15.4645 | −0.983983 | ||||||||
\(248\) | −6.13458 | −0.389546 | ||||||||
\(249\) | −15.5841 | + | 17.5153i | −0.987604 | + | 1.10999i | ||||
\(250\) | −10.6784 | + | 3.31222i | −0.675364 | + | 0.209483i | ||||
\(251\) | −6.40105 | −0.404031 | −0.202015 | − | 0.979382i | \(-0.564749\pi\) | ||||
−0.202015 | + | 0.979382i | \(0.564749\pi\) | |||||||
\(252\) | −0.232656 | − | 1.98699i | −0.0146560 | − | 0.125169i | ||||
\(253\) | 5.64939 | + | 22.9451i | 0.355174 | + | 1.44254i | ||||
\(254\) | 1.83972i | 0.115434i | ||||||||
\(255\) | −1.84165 | + | 2.54259i | −0.115328 | + | 0.159223i | ||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | 14.7993 | 0.923153 | 0.461576 | − | 0.887101i | \(-0.347284\pi\) | ||||
0.461576 | + | 0.887101i | \(0.347284\pi\) | |||||||
\(258\) | 4.61346 | + | 4.10479i | 0.287221 | + | 0.255553i | ||||
\(259\) | 1.47994 | 0.0919592 | ||||||||
\(260\) | −0.830637 | − | 8.25737i | −0.0515139 | − | 0.512101i | ||||
\(261\) | 26.8833 | − | 3.14775i | 1.66403 | − | 0.194841i | ||||
\(262\) | − | 6.59703i | − | 0.407566i | ||||||
\(263\) | 1.33588i | 0.0823737i | 0.999151 | + | 0.0411868i | \(0.0131139\pi\) | ||||
−0.999151 | + | 0.0411868i | \(0.986886\pi\) | |||||||
\(264\) | 6.37589 | + | 5.67289i | 0.392409 | + | 0.349143i | ||||
\(265\) | 2.37861 | + | 23.6458i | 0.146117 | + | 1.45255i | ||||
\(266\) | − | 2.77860i | − | 0.170367i | ||||||
\(267\) | 16.2193 | + | 14.4310i | 0.992605 | + | 0.883163i | ||||
\(268\) | −7.95053 | −0.485656 | ||||||||
\(269\) | 12.2843i | 0.748989i | 0.927229 | + | 0.374495i | \(0.122184\pi\) | ||||
−0.927229 | + | 0.374495i | \(0.877816\pi\) | |||||||
\(270\) | 5.67519 | − | 10.1387i | 0.345381 | − | 0.617019i | ||||
\(271\) | −19.5706 | −1.18883 | −0.594415 | − | 0.804158i | \(-0.702616\pi\) | ||||
−0.594415 | + | 0.804158i | \(0.702616\pi\) | |||||||
\(272\) | − | 0.810614i | − | 0.0491507i | ||||||
\(273\) | 2.84954 | − | 3.20266i | 0.172462 | − | 0.193834i | ||||
\(274\) | − | 16.5441i | − | 0.999464i | ||||||
\(275\) | 24.1427 | − | 4.90684i | 1.45586 | − | 0.295894i | ||||
\(276\) | −3.87781 | + | 7.34592i | −0.233417 | + | 0.442173i | ||||
\(277\) | 13.9776i | 0.839830i | 0.907563 | + | 0.419915i | \(0.137940\pi\) | ||||
−0.907563 | + | 0.419915i | \(0.862060\pi\) | |||||||
\(278\) | 5.46913 | 0.328016 | ||||||||
\(279\) | −2.14026 | − | 18.2789i | −0.128134 | − | 1.09433i | ||||
\(280\) | 1.48365 | − | 0.149245i | 0.0886650 | − | 0.00891911i | ||||
\(281\) | −9.12634 | −0.544432 | −0.272216 | − | 0.962236i | \(-0.587756\pi\) | ||||
−0.272216 | + | 0.962236i | \(0.587756\pi\) | |||||||
\(282\) | 13.0601 | + | 11.6201i | 0.777715 | + | 0.691966i | ||||
\(283\) | 30.4398 | 1.80946 | 0.904730 | − | 0.425984i | \(-0.140072\pi\) | ||||
0.904730 | + | 0.425984i | \(0.140072\pi\) | |||||||
\(284\) | − | 14.5288i | − | 0.862126i | ||||||
\(285\) | 9.46642 | − | 13.0694i | 0.560742 | − | 0.774163i | ||||
\(286\) | 18.2873i | 1.08135i | ||||||||
\(287\) | 1.69579i | 0.100099i | ||||||||
\(288\) | 0.348885 | + | 2.97964i | 0.0205582 | + | 0.175577i | ||||
\(289\) | 16.3429 | 0.961347 | ||||||||
\(290\) | 2.01923 | + | 20.0732i | 0.118573 | + | 1.17874i | ||||
\(291\) | 1.35444 | + | 1.20510i | 0.0793985 | + | 0.0706442i | ||||
\(292\) | 4.84561i | 0.283568i | ||||||||
\(293\) | 27.1711i | 1.58735i | 0.608341 | + | 0.793676i | \(0.291835\pi\) | ||||
−0.608341 | + | 0.793676i | \(0.708165\pi\) | |||||||
\(294\) | −8.48258 | − | 7.54731i | −0.494714 | − | 0.440168i | ||||
\(295\) | 1.52428 | + | 15.1529i | 0.0887472 | + | 0.882238i | ||||
\(296\) | −2.21928 | −0.128993 | ||||||||
\(297\) | −14.6788 | + | 20.9771i | −0.851748 | + | 1.21721i | ||||
\(298\) | 2.91067 | 0.168611 | ||||||||
\(299\) | −17.2833 | + | 4.25539i | −0.999520 | + | 0.246095i | ||||
\(300\) | 7.48694 | + | 4.35267i | 0.432259 | + | 0.251301i | ||||
\(301\) | −2.37752 | −0.137038 | ||||||||
\(302\) | 5.50476 | 0.316763 | ||||||||
\(303\) | −13.3298 | + | 14.9816i | −0.765775 | + | 0.860671i | ||||
\(304\) | 4.16671i | 0.238977i | ||||||||
\(305\) | 2.06207 | + | 20.4990i | 0.118074 | + | 1.17377i | ||||
\(306\) | 2.41534 | − | 0.282811i | 0.138076 | − | 0.0161672i | ||||
\(307\) | 8.27262i | 0.472144i | 0.971736 | + | 0.236072i | \(0.0758601\pi\) | ||||
−0.971736 | + | 0.236072i | \(0.924140\pi\) | |||||||
\(308\) | −3.28577 | −0.187224 | ||||||||
\(309\) | 18.4875 | + | 16.4491i | 1.05171 | + | 0.935755i | ||||
\(310\) | 13.6485 | − | 1.37294i | 0.775180 | − | 0.0779780i | ||||
\(311\) | − | 0.256130i | − | 0.0145238i | −0.999974 | − | 0.00726189i | \(-0.997688\pi\) | ||
0.999974 | − | 0.00726189i | \(-0.00231155\pi\) | |||||||
\(312\) | −4.27309 | + | 4.80262i | −0.241916 | + | 0.271895i | ||||
\(313\) | −7.18955 | −0.406377 | −0.203189 | − | 0.979140i | \(-0.565130\pi\) | ||||
−0.203189 | + | 0.979140i | \(0.565130\pi\) | |||||||
\(314\) | −8.36290 | −0.471946 | ||||||||
\(315\) | 0.962320 | + | 4.36868i | 0.0542206 | + | 0.246147i | ||||
\(316\) | − | 11.5161i | − | 0.647830i | ||||||
\(317\) | −16.3815 | −0.920075 | −0.460037 | − | 0.887900i | \(-0.652164\pi\) | ||||
−0.460037 | + | 0.887900i | \(0.652164\pi\) | |||||||
\(318\) | 12.2364 | − | 13.7528i | 0.686185 | − | 0.771218i | ||||
\(319\) | − | 44.4553i | − | 2.48902i | ||||||
\(320\) | −2.22484 | + | 0.223804i | −0.124372 | + | 0.0125110i | ||||
\(321\) | 12.0483 | − | 13.5413i | 0.672471 | − | 0.755804i | ||||
\(322\) | −0.764590 | − | 3.10539i | −0.0426089 | − | 0.173057i | ||||
\(323\) | 3.37759 | 0.187934 | ||||||||
\(324\) | −8.75656 | + | 2.07911i | −0.486475 | + | 0.115506i | ||||
\(325\) | 3.69607 | + | 18.1854i | 0.205021 | + | 1.00875i | ||||
\(326\) | 12.1701i | 0.674038i | ||||||||
\(327\) | −8.06943 | + | 9.06940i | −0.446240 | + | 0.501539i | ||||
\(328\) | − | 2.54295i | − | 0.140411i | ||||||
\(329\) | −6.73042 | −0.371060 | ||||||||
\(330\) | −15.4549 | − | 11.1943i | −0.850767 | − | 0.616228i | ||||
\(331\) | 22.0597 | 1.21251 | 0.606255 | − | 0.795271i | \(-0.292671\pi\) | ||||
0.606255 | + | 0.795271i | \(0.292671\pi\) | |||||||
\(332\) | 13.5358i | 0.742873i | ||||||||
\(333\) | −0.774274 | − | 6.61267i | −0.0424300 | − | 0.362372i | ||||
\(334\) | −14.3712 | −0.786357 | ||||||||
\(335\) | 17.6887 | − | 1.77936i | 0.966434 | − | 0.0972169i | ||||
\(336\) | −0.862914 | − | 0.767771i | −0.0470758 | − | 0.0418853i | ||||
\(337\) | −11.1835 | −0.609203 | −0.304601 | − | 0.952480i | \(-0.598523\pi\) | ||||
−0.304601 | + | 0.952480i | \(0.598523\pi\) | |||||||
\(338\) | −0.774832 | −0.0421453 | ||||||||
\(339\) | −16.9131 | + | 19.0090i | −0.918596 | + | 1.03243i | ||||
\(340\) | 0.181419 | + | 1.80349i | 0.00983881 | + | 0.0978077i | ||||
\(341\) | −30.2267 | −1.63687 | ||||||||
\(342\) | −12.4153 | + | 1.45370i | −0.671343 | + | 0.0786072i | ||||
\(343\) | 9.03944 | 0.488084 | ||||||||
\(344\) | 3.56526 | 0.192226 | ||||||||
\(345\) | 6.98346 | − | 17.2114i | 0.375977 | − | 0.926629i | ||||
\(346\) | −18.2848 | −0.982999 | ||||||||
\(347\) | 13.1611 | 0.706525 | 0.353262 | − | 0.935524i | \(-0.385072\pi\) | ||||
0.353262 | + | 0.935524i | \(0.385072\pi\) | |||||||
\(348\) | 10.3877 | − | 11.6749i | 0.556837 | − | 0.625840i | ||||
\(349\) | 7.16860 | 0.383726 | 0.191863 | − | 0.981422i | \(-0.438547\pi\) | ||||
0.191863 | + | 0.981422i | \(0.438547\pi\) | |||||||
\(350\) | −3.26748 | + | 0.664093i | −0.174654 | + | 0.0354973i | ||||
\(351\) | −15.8009 | − | 11.0567i | −0.843391 | − | 0.590165i | ||||
\(352\) | 4.92726 | 0.262624 | ||||||||
\(353\) | 29.9100 | 1.59195 | 0.795976 | − | 0.605329i | \(-0.206958\pi\) | ||||
0.795976 | + | 0.605329i | \(0.206958\pi\) | |||||||
\(354\) | 7.84146 | − | 8.81319i | 0.416769 | − | 0.468416i | ||||
\(355\) | 3.25160 | + | 32.3243i | 0.172577 | + | 1.71559i | ||||
\(356\) | 12.5342 | 0.664312 | ||||||||
\(357\) | −0.622366 | + | 0.699490i | −0.0329391 | + | 0.0370209i | ||||
\(358\) | 5.02306i | 0.265477i | ||||||||
\(359\) | 13.4801 | 0.711452 | 0.355726 | − | 0.934590i | \(-0.384234\pi\) | ||||
0.355726 | + | 0.934590i | \(0.384234\pi\) | |||||||
\(360\) | −1.44307 | − | 6.55115i | −0.0760564 | − | 0.345276i | ||||
\(361\) | 1.63855 | 0.0862395 | ||||||||
\(362\) | − | 0.342921i | − | 0.0180235i | ||||||
\(363\) | 17.1816 | + | 15.2872i | 0.901801 | + | 0.802370i | ||||
\(364\) | − | 2.47500i | − | 0.129725i | ||||||
\(365\) | −1.08447 | − | 10.7807i | −0.0567636 | − | 0.564288i | ||||
\(366\) | 10.6080 | − | 11.9226i | 0.554489 | − | 0.623202i | ||||
\(367\) | 11.3468 | 0.592297 | 0.296148 | − | 0.955142i | \(-0.404298\pi\) | ||||
0.296148 | + | 0.955142i | \(0.404298\pi\) | |||||||
\(368\) | 1.14656 | + | 4.65676i | 0.0597685 | + | 0.242750i | ||||
\(369\) | 7.57710 | − | 0.887198i | 0.394448 | − | 0.0461857i | ||||
\(370\) | 4.93755 | − | 0.496684i | 0.256691 | − | 0.0258214i | ||||
\(371\) | 7.08741i | 0.367960i | ||||||||
\(372\) | −7.93816 | − | 7.06292i | −0.411574 | − | 0.366195i | ||||
\(373\) | −25.0799 | −1.29859 | −0.649295 | − | 0.760537i | \(-0.724936\pi\) | ||||
−0.649295 | + | 0.760537i | \(0.724936\pi\) | |||||||
\(374\) | − | 3.99410i | − | 0.206530i | ||||||
\(375\) | −17.6314 | − | 8.00838i | −0.910481 | − | 0.413551i | ||||
\(376\) | 10.0928 | 0.520494 | ||||||||
\(377\) | 33.4858 | 1.72461 | ||||||||
\(378\) | 1.98663 | − | 2.83904i | 0.102181 | − | 0.146024i | ||||
\(379\) | − | 19.4678i | − | 0.999992i | −0.866028 | − | 0.499996i | \(-0.833335\pi\) | ||
0.866028 | − | 0.499996i | \(-0.166665\pi\) | |||||||
\(380\) | −0.932526 | − | 9.27026i | −0.0478376 | − | 0.475554i | ||||
\(381\) | −2.11812 | + | 2.38060i | −0.108515 | + | 0.121962i | ||||
\(382\) | −26.5716 | −1.35952 | ||||||||
\(383\) | − | 26.1779i | − | 1.33763i | −0.743429 | − | 0.668815i | \(-0.766802\pi\) | ||
0.743429 | − | 0.668815i | \(-0.233198\pi\) | |||||||
\(384\) | 1.29400 | + | 1.15133i | 0.0660343 | + | 0.0587535i | ||||
\(385\) | 7.31032 | − | 0.735370i | 0.372569 | − | 0.0374779i | ||||
\(386\) | 0.121042i | 0.00616089i | ||||||||
\(387\) | 1.24387 | + | 10.6232i | 0.0632293 | + | 0.540008i | ||||
\(388\) | 1.04670 | 0.0531383 | ||||||||
\(389\) | 22.4773 | 1.13965 | 0.569823 | − | 0.821768i | \(-0.307012\pi\) | ||||
0.569823 | + | 0.821768i | \(0.307012\pi\) | |||||||
\(390\) | 8.43210 | − | 11.6414i | 0.426976 | − | 0.589485i | ||||
\(391\) | 3.77483 | − | 0.929415i | 0.190901 | − | 0.0470026i | ||||
\(392\) | −6.55530 | −0.331093 | ||||||||
\(393\) | 7.59535 | − | 8.53657i | 0.383135 | − | 0.430613i | ||||
\(394\) | 4.06795 | 0.204940 | ||||||||
\(395\) | 2.57734 | + | 25.6214i | 0.129680 | + | 1.28915i | ||||
\(396\) | 1.71905 | + | 14.6815i | 0.0863853 | + | 0.737772i | ||||
\(397\) | 11.5042i | 0.577380i | 0.957423 | + | 0.288690i | \(0.0932197\pi\) | ||||
−0.957423 | + | 0.288690i | \(0.906780\pi\) | |||||||
\(398\) | 3.82379i | 0.191669i | ||||||||
\(399\) | 3.19908 | − | 3.59551i | 0.160154 | − | 0.180001i | ||||
\(400\) | 4.89982 | − | 0.995856i | 0.244991 | − | 0.0497928i | ||||
\(401\) | −9.84524 | −0.491648 | −0.245824 | − | 0.969315i | \(-0.579058\pi\) | ||||
−0.245824 | + | 0.969315i | \(0.579058\pi\) | |||||||
\(402\) | −10.2880 | − | 9.15367i | −0.513119 | − | 0.456544i | ||||
\(403\) | − | 22.7682i | − | 1.13416i | ||||||
\(404\) | 11.5777i | 0.576013i | ||||||||
\(405\) | 19.0166 | − | 6.58543i | 0.944944 | − | 0.327233i | ||||
\(406\) | 6.01659i | 0.298598i | ||||||||
\(407\) | −10.9350 | −0.542027 | ||||||||
\(408\) | 0.933283 | − | 1.04894i | 0.0462044 | − | 0.0519301i | ||||
\(409\) | 18.8120 | 0.930195 | 0.465098 | − | 0.885259i | \(-0.346019\pi\) | ||||
0.465098 | + | 0.885259i | \(0.346019\pi\) | |||||||
\(410\) | 0.569123 | + | 5.65766i | 0.0281070 | + | 0.279412i | ||||
\(411\) | 19.0477 | − | 21.4081i | 0.939552 | − | 1.05598i | ||||
\(412\) | 14.2870 | 0.703871 | ||||||||
\(413\) | 4.54182i | 0.223489i | ||||||||
\(414\) | −13.4755 | + | 5.04101i | −0.662283 | + | 0.247752i | ||||
\(415\) | −3.02936 | − | 30.1149i | −0.148706 | − | 1.47828i | ||||
\(416\) | 3.71145i | 0.181969i | ||||||||
\(417\) | 7.07706 | + | 6.29676i | 0.346565 | + | 0.308354i | ||||
\(418\) | 20.5304i | 1.00418i | ||||||||
\(419\) | −8.48762 | −0.414647 | −0.207324 | − | 0.978272i | \(-0.566475\pi\) | ||||
−0.207324 | + | 0.978272i | \(0.566475\pi\) | |||||||
\(420\) | 2.09168 | + | 1.51504i | 0.102063 | + | 0.0739266i | ||||
\(421\) | 30.8277i | 1.50245i | 0.660045 | + | 0.751226i | \(0.270537\pi\) | ||||
−0.660045 | + | 0.751226i | \(0.729463\pi\) | |||||||
\(422\) | −10.9491 | −0.532992 | ||||||||
\(423\) | 3.52121 | + | 30.0728i | 0.171207 | + | 1.46219i | ||||
\(424\) | − | 10.6281i | − | 0.516146i | ||||||
\(425\) | −0.807255 | − | 3.97186i | −0.0391576 | − | 0.192664i | ||||
\(426\) | 16.7274 | − | 18.8003i | 0.810446 | − | 0.910878i | ||||
\(427\) | 6.14422i | 0.297340i | ||||||||
\(428\) | − | 10.4647i | − | 0.505830i | ||||||
\(429\) | −21.0546 | + | 23.6638i | −1.01653 | + | 1.14250i | ||||
\(430\) | −7.93214 | + | 0.797920i | −0.382522 | + | 0.0384791i | ||||
\(431\) | 27.9563 | 1.34661 | 0.673303 | − | 0.739367i | \(-0.264875\pi\) | ||||
0.673303 | + | 0.739367i | \(0.264875\pi\) | |||||||
\(432\) | −2.97909 | + | 4.25735i | −0.143332 | + | 0.204832i | ||||
\(433\) | −37.3143 | −1.79321 | −0.896606 | − | 0.442829i | \(-0.853975\pi\) | ||||
−0.896606 | + | 0.442829i | \(0.853975\pi\) | |||||||
\(434\) | 4.09088 | 0.196369 | ||||||||
\(435\) | −20.4980 | + | 28.2996i | −0.982802 | + | 1.35686i | ||||
\(436\) | 7.00879i | 0.335660i | ||||||||
\(437\) | −19.4034 | + | 4.77737i | −0.928188 | + | 0.228533i | ||||
\(438\) | −5.57889 | + | 6.27023i | −0.266570 | + | 0.299603i | ||||
\(439\) | −24.1100 | −1.15071 | −0.575354 | − | 0.817904i | \(-0.695136\pi\) | ||||
−0.575354 | + | 0.817904i | \(0.695136\pi\) | |||||||
\(440\) | −10.9624 | + | 1.10274i | −0.522610 | + | 0.0525711i | ||||
\(441\) | −2.28705 | − | 19.5325i | −0.108907 | − | 0.930118i | ||||
\(442\) | 3.00855 | 0.143102 | ||||||||
\(443\) | −14.5534 | −0.691451 | −0.345726 | − | 0.938336i | \(-0.612367\pi\) | ||||
−0.345726 | + | 0.938336i | \(0.612367\pi\) | |||||||
\(444\) | −2.87176 | − | 2.55512i | −0.136288 | − | 0.121261i | ||||
\(445\) | −27.8866 | + | 2.80521i | −1.32195 | + | 0.132980i | ||||
\(446\) | − | 3.05235i | − | 0.144533i | ||||||
\(447\) | 3.76642 | + | 3.35114i | 0.178146 | + | 0.158504i | ||||
\(448\) | −0.666856 | −0.0315060 | ||||||||
\(449\) | 25.8545i | 1.22015i | 0.792344 | + | 0.610075i | \(0.208861\pi\) | ||||
−0.792344 | + | 0.610075i | \(0.791139\pi\) | |||||||
\(450\) | 4.67677 | + | 14.2523i | 0.220465 | + | 0.671859i | ||||
\(451\) | − | 12.5298i | − | 0.590005i | ||||||
\(452\) | 14.6901i | 0.690965i | ||||||||
\(453\) | 7.12317 | + | 6.33778i | 0.334676 | + | 0.297775i | ||||
\(454\) | − | 16.8065i | − | 0.788767i | ||||||
\(455\) | 0.553915 | + | 5.50648i | 0.0259680 | + | 0.258148i | ||||
\(456\) | −4.79725 | + | 5.39173i | −0.224652 | + | 0.252491i | ||||
\(457\) | 23.6100 | 1.10443 | 0.552214 | − | 0.833702i | \(-0.313783\pi\) | ||||
0.552214 | + | 0.833702i | \(0.313783\pi\) | |||||||
\(458\) | − | 10.0750i | − | 0.470774i | ||||||
\(459\) | 3.45106 | + | 2.41489i | 0.161082 | + | 0.112718i | ||||
\(460\) | −3.59311 | − | 10.1039i | −0.167530 | − | 0.471099i | ||||
\(461\) | 38.3275i | 1.78509i | 0.450959 | + | 0.892545i | \(0.351082\pi\) | ||||
−0.450959 | + | 0.892545i | \(0.648918\pi\) | |||||||
\(462\) | −4.25180 | − | 3.78301i | −0.197812 | − | 0.176001i | ||||
\(463\) | 1.86463i | 0.0866567i | 0.999061 | + | 0.0433284i | \(0.0137962\pi\) | ||||
−0.999061 | + | 0.0433284i | \(0.986204\pi\) | |||||||
\(464\) | − | 9.02232i | − | 0.418851i | ||||||
\(465\) | 19.2418 | + | 13.9373i | 0.892319 | + | 0.646325i | ||||
\(466\) | −13.0601 | −0.604996 | ||||||||
\(467\) | − | 22.7789i | − | 1.05408i | −0.849840 | − | 0.527040i | \(-0.823302\pi\) | ||
0.849840 | − | 0.527040i | \(-0.176698\pi\) | |||||||
\(468\) | −11.0588 | + | 1.29487i | −0.511193 | + | 0.0598553i | ||||
\(469\) | 5.30186 | 0.244817 | ||||||||
\(470\) | −22.4548 | + | 2.25880i | −1.03576 | + | 0.104191i | ||||
\(471\) | −10.8216 | − | 9.62845i | −0.498634 | − | 0.443655i | ||||
\(472\) | − | 6.81080i | − | 0.313492i | ||||||
\(473\) | 17.5670 | 0.807731 | ||||||||
\(474\) | 13.2588 | − | 14.9018i | 0.608996 | − | 0.684464i | ||||
\(475\) | 4.14944 | + | 20.4161i | 0.190389 | + | 0.936756i | ||||
\(476\) | 0.540563i | 0.0247767i | ||||||||
\(477\) | 31.6679 | − | 3.70798i | 1.44998 | − | 0.169777i | ||||
\(478\) | − | 14.5163i | − | 0.663962i | ||||||
\(479\) | −22.7286 | −1.03849 | −0.519247 | − | 0.854624i | \(-0.673788\pi\) | ||||
−0.519247 | + | 0.854624i | \(0.673788\pi\) | |||||||
\(480\) | −3.13662 | − | 2.27192i | −0.143166 | − | 0.103698i | ||||
\(481\) | − | 8.23675i | − | 0.375563i | ||||||
\(482\) | − | 7.90101i | − | 0.359881i | ||||||
\(483\) | 2.58594 | − | 4.89868i | 0.117664 | − | 0.222897i | ||||
\(484\) | 13.2779 | 0.603540 | ||||||||
\(485\) | −2.32875 | + | 0.234257i | −0.105743 | + | 0.0106370i | ||||
\(486\) | −13.7247 | − | 7.39131i | −0.622567 | − | 0.335277i | ||||
\(487\) | 9.28752i | 0.420858i | 0.977609 | + | 0.210429i | \(0.0674860\pi\) | ||||
−0.977609 | + | 0.210429i | \(0.932514\pi\) | |||||||
\(488\) | − | 9.21371i | − | 0.417085i | ||||||
\(489\) | −14.0117 | + | 15.7481i | −0.633633 | + | 0.712154i | ||||
\(490\) | 14.5845 | − | 1.46710i | 0.658860 | − | 0.0662770i | ||||
\(491\) | 16.4543i | 0.742571i | 0.928519 | + | 0.371286i | \(0.121083\pi\) | ||||
−0.928519 | + | 0.371286i | \(0.878917\pi\) | |||||||
\(492\) | 2.92778 | − | 3.29059i | 0.131994 | − | 0.148351i | ||||
\(493\) | −7.31361 | −0.329389 | ||||||||
\(494\) | −15.4645 | −0.695781 | ||||||||
\(495\) | −7.11038 | − | 32.2792i | −0.319588 | − | 1.45084i | ||||
\(496\) | −6.13458 | −0.275451 | ||||||||
\(497\) | 9.68862i | 0.434594i | ||||||||
\(498\) | −15.5841 | + | 17.5153i | −0.698342 | + | 0.784881i | ||||
\(499\) | 14.8139 | 0.663163 | 0.331582 | − | 0.943427i | \(-0.392418\pi\) | ||||
0.331582 | + | 0.943427i | \(0.392418\pi\) | |||||||
\(500\) | −10.6784 | + | 3.31222i | −0.477555 | + | 0.148127i | ||||
\(501\) | −18.5964 | − | 16.5460i | −0.830824 | − | 0.739219i | ||||
\(502\) | −6.40105 | −0.285693 | ||||||||
\(503\) | 6.33019i | 0.282249i | 0.989992 | + | 0.141125i | \(0.0450718\pi\) | ||||
−0.989992 | + | 0.141125i | \(0.954928\pi\) | |||||||
\(504\) | −0.232656 | − | 1.98699i | −0.0103633 | − | 0.0885078i | ||||
\(505\) | −2.59114 | − | 25.7586i | −0.115304 | − | 1.14624i | ||||
\(506\) | 5.64939 | + | 22.9451i | 0.251146 | + | 1.02003i | ||||
\(507\) | −1.00263 | − | 0.892086i | −0.0445286 | − | 0.0396190i | ||||
\(508\) | 1.83972i | 0.0816245i | ||||||||
\(509\) | 3.11552i | 0.138093i | 0.997613 | + | 0.0690465i | \(0.0219957\pi\) | ||||
−0.997613 | + | 0.0690465i | \(0.978004\pi\) | |||||||
\(510\) | −1.84165 | + | 2.54259i | −0.0815495 | + | 0.112588i | ||||
\(511\) | − | 3.23133i | − | 0.142945i | ||||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | −17.7391 | − | 12.4130i | −0.783201 | − | 0.548047i | ||||
\(514\) | 14.7993 | 0.652767 | ||||||||
\(515\) | −31.7864 | + | 3.19750i | −1.40067 | + | 0.140898i | ||||
\(516\) | 4.61346 | + | 4.10479i | 0.203096 | + | 0.180703i | ||||
\(517\) | 49.7297 | 2.18711 | ||||||||
\(518\) | 1.47994 | 0.0650250 | ||||||||
\(519\) | −23.6606 | − | 21.0519i | −1.03859 | − | 0.924074i | ||||
\(520\) | −0.830637 | − | 8.25737i | −0.0364258 | − | 0.362110i | ||||
\(521\) | −4.59001 | −0.201092 | −0.100546 | − | 0.994932i | \(-0.532059\pi\) | ||||
−0.100546 | + | 0.994932i | \(0.532059\pi\) | |||||||
\(522\) | 26.8833 | − | 3.14775i | 1.17665 | − | 0.137773i | ||||
\(523\) | −25.4462 | −1.11269 | −0.556343 | − | 0.830953i | \(-0.687796\pi\) | ||||
−0.556343 | + | 0.830953i | \(0.687796\pi\) | |||||||
\(524\) | − | 6.59703i | − | 0.288192i | ||||||
\(525\) | −4.99272 | − | 2.90260i | −0.217900 | − | 0.126680i | ||||
\(526\) | 1.33588i | 0.0582470i | ||||||||
\(527\) | 4.97277i | 0.216617i | ||||||||
\(528\) | 6.37589 | + | 5.67289i | 0.277475 | + | 0.246881i | ||||
\(529\) | −20.3708 | + | 10.6785i | −0.885687 | + | 0.464282i | ||||
\(530\) | 2.37861 | + | 23.6458i | 0.103320 | + | 1.02711i | ||||
\(531\) | 20.2937 | − | 2.37618i | 0.880674 | − | 0.103118i | ||||
\(532\) | − | 2.77860i | − | 0.120467i | ||||||
\(533\) | 9.43804 | 0.408807 | ||||||||
\(534\) | 16.2193 | + | 14.4310i | 0.701878 | + | 0.624490i | ||||
\(535\) | 2.34204 | + | 23.2823i | 0.101255 | + | 1.00658i | ||||
\(536\) | −7.95053 | −0.343411 | ||||||||
\(537\) | −5.78319 | + | 6.49985i | −0.249563 | + | 0.280489i | ||||
\(538\) | 12.2843i | 0.529615i | ||||||||
\(539\) | −32.2997 | −1.39125 | ||||||||
\(540\) | 5.67519 | − | 10.1387i | 0.244221 | − | 0.436298i | ||||
\(541\) | 21.7426 | 0.934787 | 0.467394 | − | 0.884049i | \(-0.345193\pi\) | ||||
0.467394 | + | 0.884049i | \(0.345193\pi\) | |||||||
\(542\) | −19.5706 | −0.840630 | ||||||||
\(543\) | 0.394814 | − | 0.443740i | 0.0169431 | − | 0.0190427i | ||||
\(544\) | − | 0.810614i | − | 0.0347548i | ||||||
\(545\) | −1.56860 | − | 15.5934i | −0.0671913 | − | 0.667950i | ||||
\(546\) | 2.84954 | − | 3.20266i | 0.121949 | − | 0.137061i | ||||
\(547\) | − | 23.9240i | − | 1.02292i | −0.859308 | − | 0.511459i | \(-0.829105\pi\) | ||
0.859308 | − | 0.511459i | \(-0.170895\pi\) | |||||||
\(548\) | − | 16.5441i | − | 0.706728i | ||||||
\(549\) | 27.4536 | − | 3.21452i | 1.17169 | − | 0.137193i | ||||
\(550\) | 24.1427 | − | 4.90684i | 1.02945 | − | 0.209228i | ||||
\(551\) | 37.5934 | 1.60153 | ||||||||
\(552\) | −3.87781 | + | 7.34592i | −0.165051 | + | 0.312663i | ||||
\(553\) | 7.67957i | 0.326569i | ||||||||
\(554\) | 13.9776i | 0.593850i | ||||||||
\(555\) | 6.96105 | + | 5.04203i | 0.295480 | + | 0.214022i | ||||
\(556\) | 5.46913 | 0.231943 | ||||||||
\(557\) | 25.3753i | 1.07519i | 0.843204 | + | 0.537593i | \(0.180666\pi\) | ||||
−0.843204 | + | 0.537593i | \(0.819334\pi\) | |||||||
\(558\) | −2.14026 | − | 18.2789i | −0.0906045 | − | 0.773806i | ||||
\(559\) | 13.2323i | 0.559666i | ||||||||
\(560\) | 1.48365 | − | 0.149245i | 0.0626956 | − | 0.00630676i | ||||
\(561\) | 4.59853 | − | 5.16838i | 0.194150 | − | 0.218209i | ||||
\(562\) | −9.12634 | −0.384971 | ||||||||
\(563\) | − | 10.1241i | − | 0.426681i | −0.976978 | − | 0.213340i | \(-0.931566\pi\) | ||
0.976978 | − | 0.213340i | \(-0.0684343\pi\) | |||||||
\(564\) | 13.0601 | + | 11.6201i | 0.549928 | + | 0.489294i | ||||
\(565\) | −3.28771 | − | 32.6831i | −0.138315 | − | 1.37499i | ||||
\(566\) | 30.4398 | 1.27948 | ||||||||
\(567\) | 5.83937 | − | 1.38647i | 0.245230 | − | 0.0582261i | ||||
\(568\) | − | 14.5288i | − | 0.609615i | ||||||
\(569\) | −5.98029 | −0.250707 | −0.125353 | − | 0.992112i | \(-0.540006\pi\) | ||||
−0.125353 | + | 0.992112i | \(0.540006\pi\) | |||||||
\(570\) | 9.46642 | − | 13.0694i | 0.396505 | − | 0.547416i | ||||
\(571\) | 15.5442i | 0.650504i | 0.945627 | + | 0.325252i | \(0.105449\pi\) | ||||
−0.945627 | + | 0.325252i | \(0.894551\pi\) | |||||||
\(572\) | 18.2873i | 0.764629i | ||||||||
\(573\) | −34.3837 | − | 30.5926i | −1.43640 | − | 1.27802i | ||||
\(574\) | 1.69579i | 0.0707807i | ||||||||
\(575\) | 10.2554 | + | 21.6755i | 0.427679 | + | 0.903930i | ||||
\(576\) | 0.348885 | + | 2.97964i | 0.0145369 | + | 0.124152i | ||||
\(577\) | − | 2.43133i | − | 0.101218i | −0.998719 | − | 0.0506088i | \(-0.983884\pi\) | ||
0.998719 | − | 0.0506088i | \(-0.0161162\pi\) | |||||||
\(578\) | 16.3429 | 0.679775 | ||||||||
\(579\) | −0.139359 | + | 0.156629i | −0.00579158 | + | 0.00650928i | ||||
\(580\) | 2.01923 | + | 20.0732i | 0.0838440 | + | 0.833495i | ||||
\(581\) | − | 9.02642i | − | 0.374479i | ||||||
\(582\) | 1.35444 | + | 1.20510i | 0.0561432 | + | 0.0499530i | ||||
\(583\) | − | 52.3674i | − | 2.16884i | ||||||
\(584\) | 4.84561i | 0.200513i | ||||||||
\(585\) | 24.3142 | − | 5.35587i | 1.00527 | − | 0.221438i | ||||
\(586\) | 27.1711i | 1.12243i | ||||||||
\(587\) | 25.0136 | 1.03242 | 0.516211 | − | 0.856461i | \(-0.327342\pi\) | ||||
0.516211 | + | 0.856461i | \(0.327342\pi\) | |||||||
\(588\) | −8.48258 | − | 7.54731i | −0.349816 | − | 0.311246i | ||||
\(589\) | − | 25.5610i | − | 1.05322i | ||||||
\(590\) | 1.52428 | + | 15.1529i | 0.0627538 | + | 0.623836i | ||||
\(591\) | 5.26393 | + | 4.68354i | 0.216529 | + | 0.192655i | ||||
\(592\) | −2.21928 | −0.0912120 | ||||||||
\(593\) | −12.0918 | −0.496551 | −0.248276 | − | 0.968689i | \(-0.579864\pi\) | ||||
−0.248276 | + | 0.968689i | \(0.579864\pi\) | |||||||
\(594\) | −14.6788 | + | 20.9771i | −0.602277 | + | 0.860699i | ||||
\(595\) | −0.120980 | − | 1.20267i | −0.00495970 | − | 0.0493045i | ||||
\(596\) | 2.91067 | 0.119226 | ||||||||
\(597\) | −4.40244 | + | 4.94799i | −0.180180 | + | 0.202508i | ||||
\(598\) | −17.2833 | + | 4.25539i | −0.706767 | + | 0.174016i | ||||
\(599\) | − | 44.0064i | − | 1.79805i | −0.437892 | − | 0.899027i | \(-0.644275\pi\) | ||
0.437892 | − | 0.899027i | \(-0.355725\pi\) | |||||||
\(600\) | 7.48694 | + | 4.35267i | 0.305653 | + | 0.177697i | ||||
\(601\) | −17.6495 | −0.719937 | −0.359968 | − | 0.932964i | \(-0.617213\pi\) | ||||
−0.359968 | + | 0.932964i | \(0.617213\pi\) | |||||||
\(602\) | −2.37752 | −0.0969004 | ||||||||
\(603\) | −2.77382 | − | 23.6897i | −0.112959 | − | 0.964721i | ||||
\(604\) | 5.50476 | 0.223985 | ||||||||
\(605\) | −29.5412 | + | 2.97165i | −1.20102 | + | 0.120815i | ||||
\(606\) | −13.3298 | + | 14.9816i | −0.541485 | + | 0.608586i | ||||
\(607\) | − | 16.4500i | − | 0.667686i | −0.942629 | − | 0.333843i | \(-0.891654\pi\) | ||
0.942629 | − | 0.333843i | \(-0.108346\pi\) | |||||||
\(608\) | 4.16671i | 0.168982i | ||||||||
\(609\) | −6.92707 | + | 7.78548i | −0.280699 | + | 0.315484i | ||||
\(610\) | 2.06207 | + | 20.4990i | 0.0834906 | + | 0.829981i | ||||
\(611\) | 37.4587i | 1.51542i | ||||||||
\(612\) | 2.41534 | − | 0.282811i | 0.0976343 | − | 0.0114320i | ||||
\(613\) | 21.9260 | 0.885583 | 0.442792 | − | 0.896625i | \(-0.353988\pi\) | ||||
0.442792 | + | 0.896625i | \(0.353988\pi\) | |||||||
\(614\) | 8.27262i | 0.333856i | ||||||||
\(615\) | −5.77738 | + | 7.97628i | −0.232967 | + | 0.321635i | ||||
\(616\) | −3.28577 | −0.132388 | ||||||||
\(617\) | − | 3.85770i | − | 0.155305i | −0.996980 | − | 0.0776526i | \(-0.975257\pi\) | ||
0.996980 | − | 0.0776526i | \(-0.0247425\pi\) | |||||||
\(618\) | 18.4875 | + | 16.4491i | 0.743674 | + | 0.661678i | ||||
\(619\) | − | 35.4506i | − | 1.42488i | −0.701732 | − | 0.712441i | \(-0.747590\pi\) | ||
0.701732 | − | 0.712441i | \(-0.252410\pi\) | |||||||
\(620\) | 13.6485 | − | 1.37294i | 0.548135 | − | 0.0551388i | ||||
\(621\) | −23.2411 | − | 8.99162i | −0.932635 | − | 0.360821i | ||||
\(622\) | − | 0.256130i | − | 0.0102699i | ||||||
\(623\) | −8.35852 | −0.334877 | ||||||||
\(624\) | −4.27309 | + | 4.80262i | −0.171061 | + | 0.192259i | ||||
\(625\) | 23.0165 | − | 9.75904i | 0.920662 | − | 0.390362i | ||||
\(626\) | −7.18955 | −0.287352 | ||||||||
\(627\) | −23.6373 | + | 26.5665i | −0.943983 | + | 1.06096i | ||||
\(628\) | −8.36290 | −0.333716 | ||||||||
\(629\) | 1.79898i | 0.0717301i | ||||||||
\(630\) | 0.962320 | + | 4.36868i | 0.0383398 | + | 0.174052i | ||||
\(631\) | 28.1979i | 1.12254i | 0.827632 | + | 0.561271i | \(0.189688\pi\) | ||||
−0.827632 | + | 0.561271i | \(0.810312\pi\) | |||||||
\(632\) | − | 11.5161i | − | 0.458085i | ||||||
\(633\) | −14.1681 | − | 12.6060i | −0.563132 | − | 0.501043i | ||||
\(634\) | −16.3815 | −0.650591 | ||||||||
\(635\) | −0.411737 | − | 4.09309i | −0.0163393 | − | 0.162429i | ||||
\(636\) | 12.2364 | − | 13.7528i | 0.485206 | − | 0.545333i | ||||
\(637\) | − | 24.3297i | − | 0.963976i | ||||||
\(638\) | − | 44.4553i | − | 1.76000i | ||||||
\(639\) | 43.2907 | − | 5.06888i | 1.71255 | − | 0.200522i | ||||
\(640\) | −2.22484 | + | 0.223804i | −0.0879445 | + | 0.00884663i | ||||
\(641\) | −10.3529 | −0.408915 | −0.204457 | − | 0.978875i | \(-0.565543\pi\) | ||||
−0.204457 | + | 0.978875i | \(0.565543\pi\) | |||||||
\(642\) | 12.0483 | − | 13.5413i | 0.475509 | − | 0.534434i | ||||
\(643\) | −0.851752 | −0.0335898 | −0.0167949 | − | 0.999859i | \(-0.505346\pi\) | ||||
−0.0167949 | + | 0.999859i | \(0.505346\pi\) | |||||||
\(644\) | −0.764590 | − | 3.10539i | −0.0301290 | − | 0.122370i | ||||
\(645\) | −11.1829 | − | 8.09999i | −0.440325 | − | 0.318937i | ||||
\(646\) | 3.37759 | 0.132889 | ||||||||
\(647\) | −44.6917 | −1.75701 | −0.878505 | − | 0.477732i | \(-0.841459\pi\) | ||||
−0.878505 | + | 0.477732i | \(0.841459\pi\) | |||||||
\(648\) | −8.75656 | + | 2.07911i | −0.343990 | + | 0.0816750i | ||||
\(649\) | − | 33.5586i | − | 1.31729i | ||||||
\(650\) | 3.69607 | + | 18.1854i | 0.144972 | + | 0.713291i | ||||
\(651\) | 5.29361 | + | 4.70995i | 0.207473 | + | 0.184598i | ||||
\(652\) | 12.1701i | 0.476617i | ||||||||
\(653\) | −27.2860 | −1.06779 | −0.533893 | − | 0.845552i | \(-0.679271\pi\) | ||||
−0.533893 | + | 0.845552i | \(0.679271\pi\) | |||||||
\(654\) | −8.06943 | + | 9.06940i | −0.315539 | + | 0.354642i | ||||
\(655\) | 1.47644 | + | 14.6773i | 0.0576893 | + | 0.573491i | ||||
\(656\) | − | 2.54295i | − | 0.0992857i | ||||||
\(657\) | −14.4382 | + | 1.69056i | −0.563288 | + | 0.0659551i | ||||
\(658\) | −6.73042 | −0.262379 | ||||||||
\(659\) | 8.99528 | 0.350406 | 0.175203 | − | 0.984532i | \(-0.443942\pi\) | ||||
0.175203 | + | 0.984532i | \(0.443942\pi\) | |||||||
\(660\) | −15.4549 | − | 11.1943i | −0.601583 | − | 0.435739i | ||||
\(661\) | 19.4246i | 0.755530i | 0.925902 | + | 0.377765i | \(0.123307\pi\) | ||||
−0.925902 | + | 0.377765i | \(0.876693\pi\) | |||||||
\(662\) | 22.0597 | 0.857374 | ||||||||
\(663\) | 3.89307 | + | 3.46383i | 0.151194 | + | 0.134524i | ||||
\(664\) | 13.5358i | 0.525290i | ||||||||
\(665\) | 0.621861 | + | 6.18193i | 0.0241147 | + | 0.239725i | ||||
\(666\) | −0.774274 | − | 6.61267i | −0.0300025 | − | 0.256236i | ||||
\(667\) | 42.0148 | − | 10.3446i | 1.62682 | − | 0.400545i | ||||
\(668\) | −14.3712 | −0.556038 | ||||||||
\(669\) | 3.51426 | − | 3.94975i | 0.135869 | − | 0.152706i | ||||
\(670\) | 17.6887 | − | 1.77936i | 0.683372 | − | 0.0687427i | ||||
\(671\) | − | 45.3983i | − | 1.75258i | ||||||
\(672\) | −0.862914 | − | 0.767771i | −0.0332876 | − | 0.0296174i | ||||
\(673\) | − | 43.1690i | − | 1.66404i | −0.554744 | − | 0.832021i | \(-0.687184\pi\) | ||
0.554744 | − | 0.832021i | \(-0.312816\pi\) | |||||||
\(674\) | −11.1835 | −0.430771 | ||||||||
\(675\) | −10.3573 | + | 23.8270i | −0.398653 | + | 0.917102i | ||||
\(676\) | −0.774832 | −0.0298012 | ||||||||
\(677\) | − | 27.0862i | − | 1.04101i | −0.853859 | − | 0.520504i | \(-0.825744\pi\) | ||
0.853859 | − | 0.520504i | \(-0.174256\pi\) | |||||||
\(678\) | −16.9131 | + | 19.0090i | −0.649546 | + | 0.730038i | ||||
\(679\) | −0.698001 | −0.0267868 | ||||||||
\(680\) | 0.181419 | + | 1.80349i | 0.00695709 | + | 0.0691605i | ||||
\(681\) | 19.3498 | − | 21.7476i | 0.741485 | − | 0.833371i | ||||
\(682\) | −30.2267 | −1.15744 | ||||||||
\(683\) | −25.8177 | −0.987886 | −0.493943 | − | 0.869494i | \(-0.664445\pi\) | ||||
−0.493943 | + | 0.869494i | \(0.664445\pi\) | |||||||
\(684\) | −12.4153 | + | 1.45370i | −0.474711 | + | 0.0555837i | ||||
\(685\) | 3.70263 | + | 36.8079i | 0.141470 | + | 1.40636i | ||||
\(686\) | 9.03944 | 0.345127 | ||||||||
\(687\) | 11.5996 | − | 13.0371i | 0.442554 | − | 0.497396i | ||||
\(688\) | 3.56526 | 0.135924 | ||||||||
\(689\) | 39.4456 | 1.50276 | ||||||||
\(690\) | 6.98346 | − | 17.2114i | 0.265856 | − | 0.655226i | ||||
\(691\) | −7.66316 | −0.291520 | −0.145760 | − | 0.989320i | \(-0.546563\pi\) | ||||
−0.145760 | + | 0.989320i | \(0.546563\pi\) | |||||||
\(692\) | −18.2848 | −0.695085 | ||||||||
\(693\) | −1.14636 | − | 9.79044i | −0.0435465 | − | 0.371908i | ||||
\(694\) | 13.1611 | 0.499588 | ||||||||
\(695\) | −12.1679 | + | 1.22401i | −0.461556 | + | 0.0464294i | ||||
\(696\) | 10.3877 | − | 11.6749i | 0.393743 | − | 0.442536i | ||||
\(697\) | −2.06135 | −0.0780793 | ||||||||
\(698\) | 7.16860 | 0.271335 | ||||||||
\(699\) | −16.8998 | − | 15.0364i | −0.639207 | − | 0.568730i | ||||
\(700\) | −3.26748 | + | 0.664093i | −0.123499 | + | 0.0251004i | ||||
\(701\) | 19.8123 | 0.748301 | 0.374150 | − | 0.927368i | \(-0.377934\pi\) | ||||
0.374150 | + | 0.927368i | \(0.377934\pi\) | |||||||
\(702\) | −15.8009 | − | 11.0567i | −0.596367 | − | 0.417310i | ||||
\(703\) | − | 9.24710i | − | 0.348761i | ||||||
\(704\) | 4.92726 | 0.185703 | ||||||||
\(705\) | −31.6572 | − | 22.9299i | −1.19228 | − | 0.863591i | ||||
\(706\) | 29.9100 | 1.12568 | ||||||||
\(707\) | − | 7.72068i | − | 0.290366i | ||||||
\(708\) | 7.84146 | − | 8.81319i | 0.294700 | − | 0.331220i | ||||
\(709\) | 32.3675i | 1.21559i | 0.794096 | + | 0.607793i | \(0.207945\pi\) | ||||
−0.794096 | + | 0.607793i | \(0.792055\pi\) | |||||||
\(710\) | 3.25160 | + | 32.3243i | 0.122031 | + | 1.21311i | ||||
\(711\) | 34.3138 | − | 4.01779i | 1.28687 | − | 0.150679i | ||||
\(712\) | 12.5342 | 0.469739 | ||||||||
\(713\) | −7.03365 | − | 28.5673i | −0.263412 | − | 1.06985i | ||||
\(714\) | −0.622366 | + | 0.699490i | −0.0232914 | + | 0.0261777i | ||||
\(715\) | −4.09276 | − | 40.6862i | −0.153061 | − | 1.52158i | ||||
\(716\) | 5.02306i | 0.187721i | ||||||||
\(717\) | 16.7131 | − | 18.7842i | 0.624162 | − | 0.701508i | ||||
\(718\) | 13.4801 | 0.503073 | ||||||||
\(719\) | 3.18213i | 0.118673i | 0.998238 | + | 0.0593367i | \(0.0188986\pi\) | ||||
−0.998238 | + | 0.0593367i | \(0.981101\pi\) | |||||||
\(720\) | −1.44307 | − | 6.55115i | −0.0537800 | − | 0.244147i | ||||
\(721\) | −9.52740 | −0.354819 | ||||||||
\(722\) | 1.63855 | 0.0609805 | ||||||||
\(723\) | 9.09666 | − | 10.2239i | 0.338309 | − | 0.380232i | ||||
\(724\) | − | 0.342921i | − | 0.0127445i | ||||||
\(725\) | −8.98493 | − | 44.2078i | −0.333692 | − | 1.64184i | ||||
\(726\) | 17.1816 | + | 15.2872i | 0.637670 | + | 0.567362i | ||||
\(727\) | −11.1704 | −0.414288 | −0.207144 | − | 0.978310i | \(-0.566417\pi\) | ||||
−0.207144 | + | 0.978310i | \(0.566417\pi\) | |||||||
\(728\) | − | 2.47500i | − | 0.0917297i | ||||||
\(729\) | −9.25003 | − | 25.3661i | −0.342594 | − | 0.939484i | ||||
\(730\) | −1.08447 | − | 10.7807i | −0.0401379 | − | 0.399012i | ||||
\(731\) | − | 2.89005i | − | 0.106892i | ||||||
\(732\) | 10.6080 | − | 11.9226i | 0.392083 | − | 0.440671i | ||||
\(733\) | −50.0167 | −1.84741 | −0.923704 | − | 0.383107i | \(-0.874854\pi\) | ||||
−0.923704 | + | 0.383107i | \(0.874854\pi\) | |||||||
\(734\) | 11.3468 | 0.418817 | ||||||||
\(735\) | 20.5615 | + | 14.8931i | 0.758422 | + | 0.549341i | ||||
\(736\) | 1.14656 | + | 4.65676i | 0.0422627 | + | 0.171650i | ||||
\(737\) | −39.1743 | −1.44300 | ||||||||
\(738\) | 7.57710 | − | 0.887198i | 0.278917 | − | 0.0326582i | ||||
\(739\) | −15.4765 | −0.569314 | −0.284657 | − | 0.958629i | \(-0.591880\pi\) | ||||
−0.284657 | + | 0.958629i | \(0.591880\pi\) | |||||||
\(740\) | 4.93755 | − | 0.496684i | 0.181508 | − | 0.0182585i | ||||
\(741\) | −20.0111 | − | 17.8047i | −0.735127 | − | 0.654073i | ||||
\(742\) | 7.08741i | 0.260187i | ||||||||
\(743\) | − | 13.3519i | − | 0.489833i | −0.969544 | − | 0.244917i | \(-0.921239\pi\) | ||
0.969544 | − | 0.244917i | \(-0.0787606\pi\) | |||||||
\(744\) | −7.93816 | − | 7.06292i | −0.291027 | − | 0.258939i | ||||
\(745\) | −6.47578 | + | 0.651421i | −0.237254 | + | 0.0238662i | ||||
\(746\) | −25.0799 | −0.918242 | ||||||||
\(747\) | −40.3318 | + | 4.72243i | −1.47566 | + | 0.172785i | ||||
\(748\) | − | 3.99410i | − | 0.146039i | ||||||
\(749\) | 6.97845i | 0.254987i | ||||||||
\(750\) | −17.6314 | − | 8.00838i | −0.643807 | − | 0.292425i | ||||
\(751\) | 46.8490i | 1.70955i | 0.519002 | + | 0.854773i | \(0.326304\pi\) | ||||
−0.519002 | + | 0.854773i | \(0.673696\pi\) | |||||||
\(752\) | 10.0928 | 0.368045 | ||||||||
\(753\) | −8.28298 | − | 7.36972i | −0.301849 | − | 0.268567i | ||||
\(754\) | 33.4858 | 1.21948 | ||||||||
\(755\) | −12.2472 | + | 1.23199i | −0.445721 | + | 0.0448366i | ||||
\(756\) | 1.98663 | − | 2.83904i | 0.0722529 | − | 0.103255i | ||||
\(757\) | −23.6532 | −0.859692 | −0.429846 | − | 0.902902i | \(-0.641432\pi\) | ||||
−0.429846 | + | 0.902902i | \(0.641432\pi\) | |||||||
\(758\) | − | 19.4678i | − | 0.707101i | ||||||
\(759\) | −19.1070 | + | 36.1953i | −0.693540 | + | 1.31381i | ||||
\(760\) | −0.932526 | − | 9.27026i | −0.0338263 | − | 0.336268i | ||||
\(761\) | − | 42.4465i | − | 1.53869i | −0.638836 | − | 0.769343i | \(-0.720584\pi\) | ||
0.638836 | − | 0.769343i | \(-0.279416\pi\) | |||||||
\(762\) | −2.11812 | + | 2.38060i | −0.0767316 | + | 0.0862402i | ||||
\(763\) | − | 4.67386i | − | 0.169205i | ||||||
\(764\) | −26.5716 | −0.961325 | ||||||||
\(765\) | −5.31045 | + | 1.16977i | −0.192000 | + | 0.0422932i | ||||
\(766\) | − | 26.1779i | − | 0.945848i | ||||||
\(767\) | 25.2779 | 0.912732 | ||||||||
\(768\) | 1.29400 | + | 1.15133i | 0.0466933 | + | 0.0415450i | ||||
\(769\) | 30.3882i | 1.09582i | 0.836536 | + | 0.547912i | \(0.184577\pi\) | ||||
−0.836536 | + | 0.547912i | \(0.815423\pi\) | |||||||
\(770\) | 7.31032 | − | 0.735370i | 0.263446 | − | 0.0265009i | ||||
\(771\) | 19.1503 | + | 17.0388i | 0.689680 | + | 0.613638i | ||||
\(772\) | 0.121042i | 0.00435640i | ||||||||
\(773\) | − | 35.3747i | − | 1.27234i | −0.771550 | − | 0.636169i | \(-0.780518\pi\) | ||
0.771550 | − | 0.636169i | \(-0.219482\pi\) | |||||||
\(774\) | 1.24387 | + | 10.6232i | 0.0447099 | + | 0.381844i | ||||
\(775\) | −30.0584 | + | 6.10916i | −1.07973 | + | 0.219448i | ||||
\(776\) | 1.04670 | 0.0375745 | ||||||||
\(777\) | 1.91505 | + | 1.70390i | 0.0687020 | + | 0.0611271i | ||||
\(778\) | 22.4773 | 0.805851 | ||||||||
\(779\) | 10.5957 | 0.379632 | ||||||||
\(780\) | 8.43210 | − | 11.6414i | 0.301918 | − | 0.416829i | ||||
\(781\) | − | 71.5872i | − | 2.56159i | ||||||
\(782\) | 3.77483 | − | 0.929415i | 0.134988 | − | 0.0332358i | ||||
\(783\) | 38.4111 | + | 26.8783i | 1.37270 | + | 0.960552i | ||||
\(784\) | −6.55530 | −0.234118 | ||||||||
\(785\) | 18.6061 | − | 1.87165i | 0.664081 | − | 0.0668021i | ||||
\(786\) | 7.59535 | − | 8.53657i | 0.270917 | − | 0.304489i | ||||
\(787\) | 2.58816 | 0.0922578 | 0.0461289 | − | 0.998935i | \(-0.485312\pi\) | ||||
0.0461289 | + | 0.998935i | \(0.485312\pi\) | |||||||
\(788\) | 4.06795 | 0.144915 | ||||||||
\(789\) | −1.53803 | + | 1.72863i | −0.0547554 | + | 0.0615408i | ||||
\(790\) | 2.57734 | + | 25.6214i | 0.0916978 | + | 0.911569i | ||||
\(791\) | − | 9.79620i | − | 0.348313i | ||||||
\(792\) | 1.71905 | + | 14.6815i | 0.0610837 | + | 0.521684i | ||||
\(793\) | 34.1962 | 1.21434 | ||||||||
\(794\) | 11.5042i | 0.408269i | ||||||||
\(795\) | −24.1462 | + | 33.3363i | −0.856376 | + | 1.18232i | ||||
\(796\) | 3.82379i | 0.135531i | ||||||||
\(797\) | 41.0402i | 1.45372i | 0.686786 | + | 0.726859i | \(0.259021\pi\) | ||||
−0.686786 | + | 0.726859i | \(0.740979\pi\) | |||||||
\(798\) | 3.19908 | − | 3.59551i | 0.113246 | − | 0.127280i | ||||
\(799\) | − | 8.18133i | − | 0.289435i | ||||||
\(800\) | 4.89982 | − | 0.995856i | 0.173235 | − | 0.0352088i | ||||
\(801\) | 4.37300 | + | 37.3475i | 0.154512 | + | 1.31961i | ||||
\(802\) | −9.84524 | −0.347647 | ||||||||
\(803\) | 23.8756i | 0.842551i | ||||||||
\(804\) | −10.2880 | − | 9.15367i | −0.362830 | − | 0.322825i | ||||
\(805\) | 2.39609 | + | 6.73788i | 0.0844510 | + | 0.237479i | ||||
\(806\) | − | 22.7682i | − | 0.801974i | ||||||
\(807\) | −14.1433 | + | 15.8960i | −0.497868 | + | 0.559564i | ||||
\(808\) | 11.5777i | 0.407303i | ||||||||
\(809\) | − | 6.18091i | − | 0.217309i | −0.994080 | − | 0.108655i | \(-0.965346\pi\) | ||
0.994080 | − | 0.108655i | \(-0.0346542\pi\) | |||||||
\(810\) | 19.0166 | − | 6.58543i | 0.668176 | − | 0.231388i | ||||
\(811\) | −2.55486 | −0.0897134 | −0.0448567 | − | 0.998993i | \(-0.514283\pi\) | ||||
−0.0448567 | + | 0.998993i | \(0.514283\pi\) | |||||||
\(812\) | 6.01659i | 0.211141i | ||||||||
\(813\) | −25.3244 | − | 22.5322i | −0.888166 | − | 0.790239i | ||||
\(814\) | −10.9350 | −0.383271 | ||||||||
\(815\) | −2.72371 | − | 27.0765i | −0.0954074 | − | 0.948447i | ||||
\(816\) | 0.933283 | − | 1.04894i | 0.0326714 | − | 0.0367201i | ||||
\(817\) | 14.8554i | 0.519725i | ||||||||
\(818\) | 18.8120 | 0.657747 | ||||||||
\(819\) | 7.37462 | − | 0.863491i | 0.257690 | − | 0.0301728i | ||||
\(820\) | 0.569123 | + | 5.65766i | 0.0198747 | + | 0.197574i | ||||
\(821\) | − | 8.36428i | − | 0.291915i | −0.989291 | − | 0.145958i | \(-0.953374\pi\) | ||
0.989291 | − | 0.145958i | \(-0.0466263\pi\) | |||||||
\(822\) | 19.0477 | − | 21.4081i | 0.664364 | − | 0.746692i | ||||
\(823\) | − | 22.8495i | − | 0.796484i | −0.917280 | − | 0.398242i | \(-0.869620\pi\) | ||
0.917280 | − | 0.398242i | \(-0.130380\pi\) | |||||||
\(824\) | 14.2870 | 0.497712 | ||||||||
\(825\) | 36.8901 | + | 21.4467i | 1.28435 | + | 0.746679i | ||||
\(826\) | 4.54182i | 0.158030i | ||||||||
\(827\) | 49.9487i | 1.73689i | 0.495789 | + | 0.868443i | \(0.334879\pi\) | ||||
−0.495789 | + | 0.868443i | \(0.665121\pi\) | |||||||
\(828\) | −13.4755 | + | 5.04101i | −0.468305 | + | 0.175187i | ||||
\(829\) | −5.29100 | −0.183764 | −0.0918820 | − | 0.995770i | \(-0.529288\pi\) | ||||
−0.0918820 | + | 0.995770i | \(0.529288\pi\) | |||||||
\(830\) | −3.02936 | − | 30.1149i | −0.105151 | − | 1.04530i | ||||
\(831\) | −16.0928 | + | 18.0870i | −0.558252 | + | 0.627431i | ||||
\(832\) | 3.71145i | 0.128671i | ||||||||
\(833\) | 5.31382i | 0.184113i | ||||||||
\(834\) | 7.07706 | + | 6.29676i | 0.245059 | + | 0.218039i | ||||
\(835\) | 31.9736 | − | 3.21633i | 1.10649 | − | 0.111306i | ||||
\(836\) | 20.5304i | 0.710060i | ||||||||
\(837\) | 18.2755 | − | 26.1170i | 0.631693 | − | 0.902737i | ||||
\(838\) | −8.48762 | −0.293200 | ||||||||
\(839\) | 32.3193 | 1.11579 | 0.557893 | − | 0.829913i | \(-0.311610\pi\) | ||||
0.557893 | + | 0.829913i | \(0.311610\pi\) | |||||||
\(840\) | 2.09168 | + | 1.51504i | 0.0721697 | + | 0.0522740i | ||||
\(841\) | −52.4022 | −1.80697 | ||||||||
\(842\) | 30.8277i | 1.06239i | ||||||||
\(843\) | −11.8095 | − | 10.5074i | −0.406741 | − | 0.361894i | ||||
\(844\) | −10.9491 | −0.376882 | ||||||||
\(845\) | 1.72388 | − | 0.173411i | 0.0593032 | − | 0.00596551i | ||||
\(846\) | 3.52121 | + | 30.0728i | 0.121062 | + | 1.03393i | ||||
\(847\) | −8.85444 | −0.304242 | ||||||||
\(848\) | − | 10.6281i | − | 0.364970i | ||||||
\(849\) | 39.3892 | + | 35.0463i | 1.35184 | + | 1.20278i | ||||
\(850\) | −0.807255 | − | 3.97186i | −0.0276886 | − | 0.136234i | ||||
\(851\) | −2.54454 | − | 10.3347i | −0.0872256 | − | 0.354268i | ||||
\(852\) | 16.7274 | − | 18.8003i | 0.573072 | − | 0.644088i | ||||
\(853\) | 26.1818i | 0.896448i | 0.893921 | + | 0.448224i | \(0.147943\pi\) | ||||
−0.893921 | + | 0.448224i | \(0.852057\pi\) | |||||||
\(854\) | 6.14422i | 0.210251i | ||||||||
\(855\) | 27.2967 | − | 6.01285i | 0.933528 | − | 0.205635i | ||||
\(856\) | − | 10.4647i | − | 0.357676i | ||||||
\(857\) | 4.33206 | 0.147980 | 0.0739902 | − | 0.997259i | \(-0.476427\pi\) | ||||
0.0739902 | + | 0.997259i | \(0.476427\pi\) | |||||||
\(858\) | −21.0546 | + | 23.6638i | −0.718794 | + | 0.807867i | ||||
\(859\) | 16.2823 | 0.555545 | 0.277772 | − | 0.960647i | \(-0.410404\pi\) | ||||
0.277772 | + | 0.960647i | \(0.410404\pi\) | |||||||
\(860\) | −7.93214 | + | 0.797920i | −0.270484 | + | 0.0272089i | ||||
\(861\) | −1.95241 | + | 2.19435i | −0.0665378 | + | 0.0747833i | ||||
\(862\) | 27.9563 | 0.952194 | ||||||||
\(863\) | 47.3991 | 1.61348 | 0.806742 | − | 0.590903i | \(-0.201229\pi\) | ||||
0.806742 | + | 0.590903i | \(0.201229\pi\) | |||||||
\(864\) | −2.97909 | + | 4.25735i | −0.101351 | + | 0.144838i | ||||
\(865\) | 40.6808 | − | 4.09222i | 1.38319 | − | 0.139140i | ||||
\(866\) | −37.3143 | −1.26799 | ||||||||
\(867\) | 21.1478 | + | 18.8161i | 0.718216 | + | 0.639027i | ||||
\(868\) | 4.09088 | 0.138854 | ||||||||
\(869\) | − | 56.7427i | − | 1.92486i | ||||||
\(870\) | −20.4980 | + | 28.2996i | −0.694946 | + | 0.959446i | ||||
\(871\) | − | 29.5080i | − | 0.999839i | ||||||
\(872\) | 7.00879i | 0.237348i | ||||||||
\(873\) | 0.365179 | + | 3.11880i | 0.0123594 | + | 0.105556i | ||||
\(874\) | −19.4034 | + | 4.77737i | −0.656328 | + | 0.161597i | ||||
\(875\) | 7.12099 | − | 2.20878i | 0.240733 | − | 0.0746703i | ||||
\(876\) | −5.57889 | + | 6.27023i | −0.188493 | + | 0.211852i | ||||
\(877\) | − | 6.13247i | − | 0.207079i | −0.994625 | − | 0.103539i | \(-0.966983\pi\) | ||
0.994625 | − | 0.103539i | \(-0.0330168\pi\) | |||||||
\(878\) | −24.1100 | −0.813674 | ||||||||
\(879\) | −31.2829 | + | 35.1595i | −1.05514 | + | 1.18590i | ||||
\(880\) | −10.9624 | + | 1.10274i | −0.369541 | + | 0.0371734i | ||||
\(881\) | −16.6943 | −0.562445 | −0.281222 | − | 0.959643i | \(-0.590740\pi\) | ||||
−0.281222 | + | 0.959643i | \(0.590740\pi\) | |||||||
\(882\) | −2.28705 | − | 19.5325i | −0.0770089 | − | 0.657692i | ||||
\(883\) | 43.1929i | 1.45356i | 0.686873 | + | 0.726778i | \(0.258983\pi\) | ||||
−0.686873 | + | 0.726778i | \(0.741017\pi\) | |||||||
\(884\) | 3.00855 | 0.101188 | ||||||||
\(885\) | −15.4736 | + | 21.3629i | −0.520138 | + | 0.718105i | ||||
\(886\) | −14.5534 | −0.488930 | ||||||||
\(887\) | 18.4339 | 0.618951 | 0.309475 | − | 0.950907i | \(-0.399847\pi\) | ||||
0.309475 | + | 0.950907i | \(0.399847\pi\) | |||||||
\(888\) | −2.87176 | − | 2.55512i | −0.0963699 | − | 0.0857443i | ||||
\(889\) | − | 1.22683i | − | 0.0411466i | ||||||
\(890\) | −27.8866 | + | 2.80521i | −0.934761 | + | 0.0940308i | ||||
\(891\) | −43.1458 | + | 10.2443i | −1.44544 | + | 0.343197i | ||||
\(892\) | − | 3.05235i | − | 0.102200i | ||||||
\(893\) | 42.0536i | 1.40727i | ||||||||
\(894\) | 3.76642 | + | 3.35114i | 0.125968 | + | 0.112079i | ||||
\(895\) | −1.12418 | − | 11.1755i | −0.0375772 | − | 0.373556i | ||||
\(896\) | −0.666856 | −0.0222781 | ||||||||
\(897\) | −27.2640 | − | 14.3923i | −0.910318 | − | 0.480544i | ||||
\(898\) | 25.8545i | 0.862776i | ||||||||
\(899\) | 55.3481i | 1.84596i | ||||||||
\(900\) | 4.67677 | + | 14.2523i | 0.155892 | + | 0.475076i | ||||
\(901\) | −8.61528 | −0.287017 | ||||||||
\(902\) | − | 12.5298i | − | 0.417197i | ||||||
\(903\) | −3.07652 | − | 2.73731i | −0.102380 | − | 0.0910918i | ||||
\(904\) | 14.6901i | 0.488586i | ||||||||
\(905\) | 0.0767470 | + | 0.762943i | 0.00255116 | + | 0.0253611i | ||||
\(906\) | 7.12317 | + | 6.33778i | 0.236651 | + | 0.210559i | ||||
\(907\) | −33.2776 | −1.10496 | −0.552482 | − | 0.833525i | \(-0.686319\pi\) | ||||
−0.552482 | + | 0.833525i | \(0.686319\pi\) | |||||||
\(908\) | − | 16.8065i | − | 0.557743i | ||||||
\(909\) | −34.4975 | + | 4.03929i | −1.14421 | + | 0.133975i | ||||
\(910\) | 0.553915 | + | 5.50648i | 0.0183621 | + | 0.182538i | ||||
\(911\) | 38.3776 | 1.27151 | 0.635753 | − | 0.771892i | \(-0.280690\pi\) | ||||
0.635753 | + | 0.771892i | \(0.280690\pi\) | |||||||
\(912\) | −4.79725 | + | 5.39173i | −0.158853 | + | 0.178538i | ||||
\(913\) | 66.6943i | 2.20726i | ||||||||
\(914\) | 23.6100 | 0.780949 | ||||||||
\(915\) | −20.9328 | + | 28.8999i | −0.692017 | + | 0.955401i | ||||
\(916\) | − | 10.0750i | − | 0.332888i | ||||||
\(917\) | 4.39927i | 0.145277i | ||||||||
\(918\) | 3.45106 | + | 2.41489i | 0.113902 | + | 0.0797033i | ||||
\(919\) | − | 42.5549i | − | 1.40376i | −0.712297 | − | 0.701878i | \(-0.752345\pi\) | ||
0.712297 | − | 0.701878i | \(-0.247655\pi\) | |||||||
\(920\) | −3.59311 | − | 10.1039i | −0.118461 | − | 0.333117i | ||||
\(921\) | −9.52451 | + | 10.7048i | −0.313843 | + | 0.352735i | ||||
\(922\) | 38.3275i | 1.26225i | ||||||||
\(923\) | 53.9229 | 1.77489 | ||||||||
\(924\) | −4.25180 | − | 3.78301i | −0.139874 | − | 0.124452i | ||||
\(925\) | −10.8741 | + | 2.21009i | −0.357538 | + | 0.0726672i | ||||
\(926\) | 1.86463i | 0.0612756i | ||||||||
\(927\) | 4.98453 | + | 42.5703i | 0.163713 | + | 1.39819i | ||||
\(928\) | − | 9.02232i | − | 0.296172i | ||||||
\(929\) | − | 14.6150i | − | 0.479501i | −0.970834 | − | 0.239751i | \(-0.922934\pi\) | ||
0.970834 | − | 0.239751i | \(-0.0770657\pi\) | |||||||
\(930\) | 19.2418 | + | 13.9373i | 0.630965 | + | 0.457021i | ||||
\(931\) | − | 27.3140i | − | 0.895181i | ||||||
\(932\) | −13.0601 | −0.427796 | ||||||||
\(933\) | 0.294889 | − | 0.331432i | 0.00965424 | − | 0.0108506i | ||||
\(934\) | − | 22.7789i | − | 0.745348i | ||||||
\(935\) | 0.893897 | + | 8.88624i | 0.0292335 | + | 0.290611i | ||||
\(936\) | −11.0588 | + | 1.29487i | −0.361468 | + | 0.0423241i | ||||
\(937\) | −43.2537 | −1.41304 | −0.706519 | − | 0.707694i | \(-0.749735\pi\) | ||||
−0.706519 | + | 0.707694i | \(0.749735\pi\) | |||||||
\(938\) | 5.30186 | 0.173112 | ||||||||
\(939\) | −9.30329 | − | 8.27753i | −0.303601 | − | 0.270127i | ||||
\(940\) | −22.4548 | + | 2.25880i | −0.732394 | + | 0.0736740i | ||||
\(941\) | 9.65494 | 0.314742 | 0.157371 | − | 0.987540i | \(-0.449698\pi\) | ||||
0.157371 | + | 0.987540i | \(0.449698\pi\) | |||||||
\(942\) | −10.8216 | − | 9.62845i | −0.352587 | − | 0.313712i | ||||
\(943\) | 11.8419 | − | 2.91564i | 0.385626 | − | 0.0949464i | ||||
\(944\) | − | 6.81080i | − | 0.221673i | ||||||
\(945\) | −3.78454 | + | 6.76102i | −0.123111 | + | 0.219936i | ||||
\(946\) | 17.5670 | 0.571152 | ||||||||
\(947\) | −1.54817 | −0.0503088 | −0.0251544 | − | 0.999684i | \(-0.508008\pi\) | ||||
−0.0251544 | + | 0.999684i | \(0.508008\pi\) | |||||||
\(948\) | 13.2588 | − | 14.9018i | 0.430625 | − | 0.483989i | ||||
\(949\) | −17.9842 | −0.583793 | ||||||||
\(950\) | 4.14944 | + | 20.4161i | 0.134626 | + | 0.662387i | ||||
\(951\) | −21.1977 | − | 18.8605i | −0.687381 | − | 0.611592i | ||||
\(952\) | 0.540563i | 0.0175197i | ||||||||
\(953\) | − | 50.4280i | − | 1.63352i | −0.576976 | − | 0.816761i | \(-0.695767\pi\) | ||
0.576976 | − | 0.816761i | \(-0.304233\pi\) | |||||||
\(954\) | 31.6679 | − | 3.70798i | 1.02529 | − | 0.120050i | ||||
\(955\) | 59.1175 | − | 5.94682i | 1.91300 | − | 0.192435i | ||||
\(956\) | − | 14.5163i | − | 0.469492i | ||||||
\(957\) | 51.1827 | − | 57.5253i | 1.65450 | − | 1.85953i | ||||
\(958\) | −22.7286 | −0.734326 | ||||||||
\(959\) | 11.0325i | 0.356259i | ||||||||
\(960\) | −3.13662 | − | 2.27192i | −0.101234 | − | 0.0733259i | ||||
\(961\) | 6.63307 | 0.213970 | ||||||||
\(962\) | − | 8.23675i | − | 0.265563i | ||||||
\(963\) | 31.1811 | − | 3.65098i | 1.00480 | − | 0.117651i | ||||
\(964\) | − | 7.90101i | − | 0.254475i | ||||||
\(965\) | −0.0270897 | − | 0.269299i | −0.000872049 | − | 0.00866906i | ||||
\(966\) | 2.58594 | − | 4.89868i | 0.0832014 | − | 0.157612i | ||||
\(967\) | − | 39.1313i | − | 1.25838i | −0.777252 | − | 0.629189i | \(-0.783387\pi\) | ||
0.777252 | − | 0.629189i | \(-0.216613\pi\) | |||||||
\(968\) | 13.2779 | 0.426767 | ||||||||
\(969\) | 4.37061 | + | 3.88872i | 0.140404 | + | 0.124924i | ||||
\(970\) | −2.32875 | + | 0.234257i | −0.0747716 | + | 0.00752152i | ||||
\(971\) | −31.3611 | −1.00643 | −0.503214 | − | 0.864162i | \(-0.667849\pi\) | ||||
−0.503214 | + | 0.864162i | \(0.667849\pi\) | |||||||
\(972\) | −13.7247 | − | 7.39131i | −0.440221 | − | 0.237076i | ||||
\(973\) | −3.64712 | −0.116921 | ||||||||
\(974\) | 9.28752i | 0.297591i | ||||||||
\(975\) | −16.1547 | + | 27.7874i | −0.517364 | + | 0.889908i | ||||
\(976\) | − | 9.21371i | − | 0.294924i | ||||||
\(977\) | − | 10.1353i | − | 0.324256i | −0.986770 | − | 0.162128i | \(-0.948164\pi\) | ||
0.986770 | − | 0.162128i | \(-0.0518357\pi\) | |||||||
\(978\) | −14.0117 | + | 15.7481i | −0.448046 | + | 0.503569i | ||||
\(979\) | 61.7593 | 1.97384 | ||||||||
\(980\) | 14.5845 | − | 1.46710i | 0.465885 | − | 0.0468649i | ||||
\(981\) | −20.8837 | + | 2.44526i | −0.666766 | + | 0.0780712i | ||||
\(982\) | 16.4543i | 0.525077i | ||||||||
\(983\) | 8.84663i | 0.282164i | 0.989998 | + | 0.141082i | \(0.0450581\pi\) | ||||
−0.989998 | + | 0.141082i | \(0.954942\pi\) | |||||||
\(984\) | 2.92778 | − | 3.29059i | 0.0933341 | − | 0.104900i | ||||
\(985\) | −9.05053 | + | 0.910423i | −0.288374 | + | 0.0290085i | ||||
\(986\) | −7.31361 | −0.232913 | ||||||||
\(987\) | −8.70919 | − | 7.74893i | −0.277216 | − | 0.246651i | ||||
\(988\) | −15.4645 | −0.491992 | ||||||||
\(989\) | 4.08778 | + | 16.6026i | 0.129984 | + | 0.527931i | ||||
\(990\) | −7.11038 | − | 32.2792i | −0.225983 | − | 1.02590i | ||||
\(991\) | 12.7133 | 0.403850 | 0.201925 | − | 0.979401i | \(-0.435280\pi\) | ||||
0.201925 | + | 0.979401i | \(0.435280\pi\) | |||||||
\(992\) | −6.13458 | −0.194773 | ||||||||
\(993\) | 28.5453 | + | 25.3979i | 0.905857 | + | 0.805979i | ||||
\(994\) | 9.68862i | 0.307304i | ||||||||
\(995\) | −0.855779 | − | 8.50731i | −0.0271300 | − | 0.269700i | ||||
\(996\) | −15.5841 | + | 17.5153i | −0.493802 | + | 0.554995i | ||||
\(997\) | 36.9919i | 1.17154i | 0.810476 | + | 0.585772i | \(0.199209\pi\) | ||||
−0.810476 | + | 0.585772i | \(0.800791\pi\) | |||||||
\(998\) | 14.8139 | 0.468927 | ||||||||
\(999\) | 6.61145 | − | 9.44826i | 0.209177 | − | 0.298930i |
(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 | 690.2.h.b.689.19 | yes | 24 | |
3.2 | odd | 2 | 690.2.h.a.689.8 | yes | 24 | ||
5.4 | even | 2 | 690.2.h.a.689.5 | ✓ | 24 | ||
15.14 | odd | 2 | inner | 690.2.h.b.689.18 | yes | 24 | |
23.22 | odd | 2 | inner | 690.2.h.b.689.20 | yes | 24 | |
69.68 | even | 2 | 690.2.h.a.689.7 | yes | 24 | ||
115.114 | odd | 2 | 690.2.h.a.689.6 | yes | 24 | ||
345.344 | even | 2 | inner | 690.2.h.b.689.17 | yes | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
690.2.h.a.689.5 | ✓ | 24 | 5.4 | even | 2 | ||
690.2.h.a.689.6 | yes | 24 | 115.114 | odd | 2 | ||
690.2.h.a.689.7 | yes | 24 | 69.68 | even | 2 | ||
690.2.h.a.689.8 | yes | 24 | 3.2 | odd | 2 | ||
690.2.h.b.689.17 | yes | 24 | 345.344 | even | 2 | inner | |
690.2.h.b.689.18 | yes | 24 | 15.14 | odd | 2 | inner | |
690.2.h.b.689.19 | yes | 24 | 1.1 | even | 1 | trivial | |
690.2.h.b.689.20 | yes | 24 | 23.22 | odd | 2 | inner |