Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [99,3,Mod(19,99)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(99, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 3]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("99.19");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 99 = 3^{2} \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 99.k (of order \(10\), degree \(4\), 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: | \(2.69755461717\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{10})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 2 x^{15} + 3 x^{14} - 4 x^{13} + 77 x^{12} + 88 x^{11} - 577 x^{10} + 578 x^{9} + 1520 x^{8} + 1868 x^{7} - 1619 x^{6} - 16804 x^{5} + 32427 x^{4} + 43316 x^{3} + \cdots + 83521 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{4}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 33) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 19.4 | ||
Root | \(2.24350 + 2.23726i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 99.19 |
Dual form | 99.3.k.c.73.4 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/99\mathbb{Z}\right)^\times\).
\(n\) | \(46\) | \(56\) |
\(\chi(n)\) | \(e\left(\frac{3}{10}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.577539 | + | 0.794915i | 0.288770 | + | 0.397457i | 0.928614 | − | 0.371047i | \(-0.121001\pi\) |
−0.639844 | + | 0.768505i | \(0.721001\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.937730 | − | 2.88604i | 0.234433 | − | 0.721509i | ||||
\(5\) | 0.321645 | + | 0.233689i | 0.0643291 | + | 0.0467378i | 0.619485 | − | 0.785008i | \(-0.287341\pi\) |
−0.555156 | + | 0.831746i | \(0.687341\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 6.87311 | + | 2.23321i | 0.981872 | + | 0.319030i | 0.755599 | − | 0.655034i | \(-0.227346\pi\) |
0.226273 | + | 0.974064i | \(0.427346\pi\) | |||||||
\(8\) | 6.57364 | − | 2.13591i | 0.821705 | − | 0.266988i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0.390645i | 0.0390645i | ||||||||
\(11\) | 0.495253 | − | 10.9888i | 0.0450230 | − | 0.998986i | ||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 7.14728 | + | 9.83739i | 0.549791 | + | 0.756722i | 0.989984 | − | 0.141181i | \(-0.0450899\pi\) |
−0.440193 | + | 0.897903i | \(0.645090\pi\) | |||||||
\(14\) | 2.19428 | + | 6.75330i | 0.156734 | + | 0.482379i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −4.32564 | − | 3.14276i | −0.270352 | − | 0.196422i | ||||
\(17\) | −12.2903 | + | 16.9162i | −0.722960 | + | 0.995069i | 0.276460 | + | 0.961025i | \(0.410839\pi\) |
−0.999420 | + | 0.0340440i | \(0.989161\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −10.5689 | + | 3.43403i | −0.556256 | + | 0.180739i | −0.573636 | − | 0.819110i | \(-0.694468\pi\) |
0.0173798 | + | 0.999849i | \(0.494468\pi\) | |||||||
\(20\) | 0.976052 | − | 0.709143i | 0.0488026 | − | 0.0354572i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 9.02122 | − | 5.95281i | 0.410056 | − | 0.270582i | ||||
\(23\) | 5.92990 | 0.257822 | 0.128911 | − | 0.991656i | \(-0.458852\pi\) | ||||
0.128911 | + | 0.991656i | \(0.458852\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −7.67658 | − | 23.6261i | −0.307063 | − | 0.945043i | ||||
\(26\) | −3.69205 | + | 11.3630i | −0.142002 | + | 0.437037i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 12.8902 | − | 17.7419i | 0.460366 | − | 0.633639i | ||||
\(29\) | −23.7332 | − | 7.71140i | −0.818388 | − | 0.265910i | −0.130242 | − | 0.991482i | \(-0.541575\pi\) |
−0.688146 | + | 0.725572i | \(0.741575\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −48.2383 | + | 35.0472i | −1.55607 | + | 1.13055i | −0.616937 | + | 0.787012i | \(0.711627\pi\) |
−0.939137 | + | 0.343542i | \(0.888373\pi\) | |||||||
\(32\) | − | 32.9013i | − | 1.02817i | ||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −20.5451 | −0.604267 | ||||||||
\(35\) | 1.68883 | + | 2.32447i | 0.0482522 | + | 0.0664135i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −1.84391 | + | 5.67498i | −0.0498355 | + | 0.153378i | −0.972877 | − | 0.231322i | \(-0.925695\pi\) |
0.923042 | + | 0.384700i | \(0.125695\pi\) | |||||||
\(38\) | −8.83370 | − | 6.41806i | −0.232466 | − | 0.168896i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 2.61352 | + | 0.849184i | 0.0653380 | + | 0.0212296i | ||||
\(41\) | 49.4926 | − | 16.0811i | 1.20714 | − | 0.392223i | 0.364755 | − | 0.931104i | \(-0.381153\pi\) |
0.842382 | + | 0.538881i | \(0.181153\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 17.6439i | 0.410323i | 0.978728 | + | 0.205161i | \(0.0657719\pi\) | ||||
−0.978728 | + | 0.205161i | \(0.934228\pi\) | |||||||
\(44\) | −31.2498 | − | 11.7339i | −0.710223 | − | 0.266679i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 3.42475 | + | 4.71376i | 0.0744511 | + | 0.102473i | ||||
\(47\) | 17.1074 | + | 52.6513i | 0.363988 | + | 1.12024i | 0.950612 | + | 0.310381i | \(0.100457\pi\) |
−0.586624 | + | 0.809860i | \(0.699543\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 2.61054 | + | 1.89667i | 0.0532763 | + | 0.0387075i | ||||
\(50\) | 14.3472 | − | 19.7472i | 0.286944 | − | 0.394944i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 35.0933 | − | 11.4025i | 0.674871 | − | 0.219279i | ||||
\(53\) | −76.5751 | + | 55.6350i | −1.44481 | + | 1.04972i | −0.457803 | + | 0.889054i | \(0.651364\pi\) |
−0.987009 | + | 0.160664i | \(0.948636\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 2.72727 | − | 3.41878i | 0.0495867 | − | 0.0621596i | ||||
\(56\) | 49.9513 | 0.891987 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −7.57698 | − | 23.3195i | −0.130638 | − | 0.402061i | ||||
\(59\) | 7.75795 | − | 23.8765i | 0.131491 | − | 0.404687i | −0.863537 | − | 0.504285i | \(-0.831756\pi\) |
0.995028 | + | 0.0995988i | \(0.0317559\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 19.6356 | − | 27.0261i | 0.321896 | − | 0.443052i | −0.617149 | − | 0.786846i | \(-0.711712\pi\) |
0.939045 | + | 0.343795i | \(0.111712\pi\) | |||||||
\(62\) | −55.7191 | − | 18.1042i | −0.898694 | − | 0.292004i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 8.85121 | − | 6.43078i | 0.138300 | − | 0.100481i | ||||
\(65\) | 4.83439i | 0.0743753i | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 94.6640 | 1.41290 | 0.706448 | − | 0.707765i | \(-0.250296\pi\) | ||||
0.706448 | + | 0.707765i | \(0.250296\pi\) | |||||||
\(68\) | 37.2957 | + | 51.3331i | 0.548466 | + | 0.754899i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −0.872392 | + | 2.68495i | −0.0124627 | + | 0.0383564i | ||||
\(71\) | 66.9252 | + | 48.6240i | 0.942609 | + | 0.684845i | 0.949047 | − | 0.315134i | \(-0.102049\pi\) |
−0.00643861 | + | 0.999979i | \(0.502049\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −44.2990 | − | 14.3936i | −0.606836 | − | 0.197173i | −0.0105491 | − | 0.999944i | \(-0.503358\pi\) |
−0.596287 | + | 0.802771i | \(0.703358\pi\) | |||||||
\(74\) | −5.57606 | + | 1.81177i | −0.0753522 | + | 0.0244834i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 33.7223i | 0.443715i | ||||||||
\(77\) | 27.9443 | − | 74.4215i | 0.362913 | − | 0.966513i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 35.4547 | + | 48.7992i | 0.448794 | + | 0.617712i | 0.972138 | − | 0.234410i | \(-0.0753158\pi\) |
−0.523344 | + | 0.852121i | \(0.675316\pi\) | |||||||
\(80\) | −0.656893 | − | 2.02171i | −0.00821116 | − | 0.0252713i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 41.3671 | + | 30.0549i | 0.504476 | + | 0.366524i | ||||
\(83\) | 88.5635 | − | 121.897i | 1.06703 | − | 1.46864i | 0.193982 | − | 0.981005i | \(-0.437860\pi\) |
0.873048 | − | 0.487635i | \(-0.162140\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −7.90625 | + | 2.56890i | −0.0930147 | + | 0.0302223i | ||||
\(86\) | −14.0254 | + | 10.1900i | −0.163086 | + | 0.118489i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −20.2155 | − | 73.2946i | −0.229722 | − | 0.832893i | ||||
\(89\) | −134.190 | −1.50775 | −0.753874 | − | 0.657019i | \(-0.771817\pi\) | ||||
−0.753874 | + | 0.657019i | \(0.771817\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 27.1551 | + | 83.5748i | 0.298408 | + | 0.918405i | ||||
\(92\) | 5.56064 | − | 17.1139i | 0.0604418 | − | 0.186021i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −31.9731 | + | 44.0072i | −0.340139 | + | 0.468161i | ||||
\(95\) | −4.20192 | − | 1.36529i | −0.0442308 | − | 0.0143715i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −30.4243 | + | 22.1046i | −0.313653 | + | 0.227882i | −0.733462 | − | 0.679730i | \(-0.762097\pi\) |
0.419809 | + | 0.907612i | \(0.362097\pi\) | |||||||
\(98\) | 3.17056i | 0.0323526i | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −75.3843 | −0.753843 | ||||||||
\(101\) | 47.4940 | + | 65.3699i | 0.470238 | + | 0.647227i | 0.976592 | − | 0.215098i | \(-0.0690072\pi\) |
−0.506354 | + | 0.862325i | \(0.669007\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 30.7976 | − | 94.7853i | 0.299006 | − | 0.920246i | −0.682840 | − | 0.730568i | \(-0.739256\pi\) |
0.981846 | − | 0.189678i | \(-0.0607444\pi\) | |||||||
\(104\) | 67.9954 | + | 49.4016i | 0.653802 | + | 0.475015i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −88.4502 | − | 28.7392i | −0.834436 | − | 0.271125i | ||||
\(107\) | −102.955 | + | 33.4522i | −0.962199 | + | 0.312637i | −0.747663 | − | 0.664079i | \(-0.768824\pi\) |
−0.214536 | + | 0.976716i | \(0.568824\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | − | 175.446i | − | 1.60960i | −0.593546 | − | 0.804800i | \(-0.702273\pi\) | ||
0.593546 | − | 0.804800i | \(-0.297727\pi\) | |||||||
\(110\) | 4.29274 | + | 0.193468i | 0.0390249 | + | 0.00175880i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −22.7121 | − | 31.2606i | −0.202787 | − | 0.279112i | ||||
\(113\) | −30.4454 | − | 93.7013i | −0.269428 | − | 0.829215i | −0.990640 | − | 0.136500i | \(-0.956414\pi\) |
0.721212 | − | 0.692715i | \(-0.243586\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 1.90732 | + | 1.38575i | 0.0165854 | + | 0.0120500i | ||||
\(116\) | −44.5108 | + | 61.2638i | −0.383713 | + | 0.528136i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 23.4603 | − | 7.62272i | 0.198816 | − | 0.0645993i | ||||
\(119\) | −122.250 | + | 88.8199i | −1.02731 | + | 0.746385i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −120.509 | − | 10.8845i | −0.995946 | − | 0.0899546i | ||||
\(122\) | 32.8238 | 0.269048 | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 55.9129 | + | 172.082i | 0.450911 | + | 1.38776i | ||||
\(125\) | 6.12346 | − | 18.8461i | 0.0489877 | − | 0.150769i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −12.8526 | + | 17.6901i | −0.101202 | + | 0.139292i | −0.856614 | − | 0.515957i | \(-0.827436\pi\) |
0.755413 | + | 0.655249i | \(0.227436\pi\) | |||||||
\(128\) | −114.940 | − | 37.3464i | −0.897971 | − | 0.291768i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −3.84293 | + | 2.79205i | −0.0295610 | + | 0.0214773i | ||||
\(131\) | − | 16.3593i | − | 0.124880i | −0.998049 | − | 0.0624402i | \(-0.980112\pi\) | ||
0.998049 | − | 0.0624402i | \(-0.0198883\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −80.3099 | −0.603834 | ||||||||
\(134\) | 54.6722 | + | 75.2499i | 0.408002 | + | 0.561566i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −44.6608 | + | 137.452i | −0.328388 | + | 1.01068i | ||||
\(137\) | 24.7472 | + | 17.9799i | 0.180637 | + | 0.131240i | 0.674429 | − | 0.738340i | \(-0.264390\pi\) |
−0.493793 | + | 0.869580i | \(0.664390\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −26.3884 | − | 8.57411i | −0.189845 | − | 0.0616843i | 0.212552 | − | 0.977150i | \(-0.431823\pi\) |
−0.402396 | + | 0.915466i | \(0.631823\pi\) | |||||||
\(140\) | 8.29217 | − | 2.69429i | 0.0592298 | − | 0.0192449i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 81.2821i | 0.572409i | ||||||||
\(143\) | 111.641 | − | 73.6684i | 0.780708 | − | 0.515164i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −5.83162 | − | 8.02654i | −0.0402181 | − | 0.0553554i | ||||
\(146\) | −14.1427 | − | 43.5268i | −0.0968680 | − | 0.298129i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 14.6491 | + | 10.6432i | 0.0989805 | + | 0.0719135i | ||||
\(149\) | 116.856 | − | 160.838i | 0.784265 | − | 1.07945i | −0.210533 | − | 0.977587i | \(-0.567520\pi\) |
0.994799 | − | 0.101862i | \(-0.0324800\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 124.120 | − | 40.3290i | 0.821986 | − | 0.267079i | 0.132320 | − | 0.991207i | \(-0.457757\pi\) |
0.689666 | + | 0.724128i | \(0.257757\pi\) | |||||||
\(152\) | −62.1412 | + | 45.1482i | −0.408824 | + | 0.297028i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 75.2977 | − | 20.7680i | 0.488946 | − | 0.134857i | ||||
\(155\) | −23.7058 | −0.152940 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −21.8126 | − | 67.1324i | −0.138934 | − | 0.427595i | 0.857247 | − | 0.514905i | \(-0.172173\pi\) |
−0.996181 | + | 0.0873102i | \(0.972173\pi\) | |||||||
\(158\) | −18.3147 | + | 56.3669i | −0.115916 | + | 0.356753i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 7.68868 | − | 10.5826i | 0.0480543 | − | 0.0661410i | ||||
\(161\) | 40.7568 | + | 13.2427i | 0.253148 | + | 0.0822527i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 62.2214 | − | 45.2065i | 0.381726 | − | 0.277340i | −0.380330 | − | 0.924851i | \(-0.624190\pi\) |
0.762057 | + | 0.647510i | \(0.224190\pi\) | |||||||
\(164\) | − | 157.917i | − | 0.962910i | ||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 148.047 | 0.891848 | ||||||||
\(167\) | 59.8117 | + | 82.3237i | 0.358154 | + | 0.492956i | 0.949633 | − | 0.313364i | \(-0.101456\pi\) |
−0.591479 | + | 0.806320i | \(0.701456\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 6.53325 | − | 20.1073i | 0.0386583 | − | 0.118978i | ||||
\(170\) | −6.60823 | − | 4.80116i | −0.0388719 | − | 0.0282421i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 50.9209 | + | 16.5452i | 0.296052 | + | 0.0961930i | ||||
\(173\) | 118.789 | − | 38.5969i | 0.686643 | − | 0.223104i | 0.0551414 | − | 0.998479i | \(-0.482439\pi\) |
0.631501 | + | 0.775375i | \(0.282439\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | − | 179.528i | − | 1.02587i | ||||||
\(176\) | −36.6776 | + | 45.9773i | −0.208395 | + | 0.261235i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −77.4997 | − | 106.669i | −0.435392 | − | 0.599265i | ||||
\(179\) | 31.8999 | + | 98.1779i | 0.178212 | + | 0.548480i | 0.999766 | − | 0.0216514i | \(-0.00689238\pi\) |
−0.821554 | + | 0.570131i | \(0.806892\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 90.9834 | + | 66.1033i | 0.502671 | + | 0.365212i | 0.810036 | − | 0.586380i | \(-0.199447\pi\) |
−0.307365 | + | 0.951592i | \(0.599447\pi\) | |||||||
\(182\) | −50.7517 | + | 69.8537i | −0.278856 | + | 0.383812i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 38.9810 | − | 12.6657i | 0.211853 | − | 0.0688353i | ||||
\(185\) | −1.91927 | + | 1.39443i | −0.0103744 | + | 0.00753746i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 179.802 | + | 143.434i | 0.961511 | + | 0.767028i | ||||
\(188\) | 167.996 | 0.893595 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −1.34149 | − | 4.12868i | −0.00706047 | − | 0.0217299i | ||||
\(191\) | −59.0444 | + | 181.720i | −0.309133 | + | 0.951414i | 0.668969 | + | 0.743290i | \(0.266736\pi\) |
−0.978102 | + | 0.208124i | \(0.933264\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 32.0683 | − | 44.1382i | 0.166157 | − | 0.228695i | −0.717817 | − | 0.696232i | \(-0.754858\pi\) |
0.883974 | + | 0.467537i | \(0.154858\pi\) | |||||||
\(194\) | −35.1425 | − | 11.4185i | −0.181147 | − | 0.0588582i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 7.92184 | − | 5.75555i | 0.0404175 | − | 0.0293651i | ||||
\(197\) | − | 75.2950i | − | 0.382208i | −0.981570 | − | 0.191104i | \(-0.938793\pi\) | ||
0.981570 | − | 0.191104i | \(-0.0612068\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −60.7193 | −0.305122 | −0.152561 | − | 0.988294i | \(-0.548752\pi\) | ||||
−0.152561 | + | 0.988294i | \(0.548752\pi\) | |||||||
\(200\) | −100.926 | − | 138.913i | −0.504631 | − | 0.694565i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −24.5338 | + | 75.5074i | −0.121455 | + | 0.373799i | ||||
\(203\) | −145.900 | − | 106.003i | −0.718719 | − | 0.522180i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 19.6771 | + | 6.39346i | 0.0959856 | + | 0.0311876i | ||||
\(206\) | 93.1331 | − | 30.2608i | 0.452102 | − | 0.146897i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | − | 65.0152i | − | 0.312573i | ||||||
\(209\) | 32.5018 | + | 117.840i | 0.155511 | + | 0.563830i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 240.517 | + | 331.043i | 1.13989 | + | 1.56893i | 0.767751 | + | 0.640748i | \(0.221376\pi\) |
0.372140 | + | 0.928177i | \(0.378624\pi\) | |||||||
\(212\) | 88.7580 | + | 273.169i | 0.418670 | + | 1.28853i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −86.0524 | − | 62.5207i | −0.402114 | − | 0.292153i | ||||
\(215\) | −4.12318 | + | 5.67507i | −0.0191776 | + | 0.0263957i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −409.815 | + | 133.157i | −1.88855 | + | 0.613626i | ||||
\(218\) | 139.465 | − | 101.327i | 0.639747 | − | 0.464804i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −7.30927 | − | 11.0769i | −0.0332240 | − | 0.0503495i | ||||
\(221\) | −254.254 | −1.15047 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −45.5218 | − | 140.102i | −0.204133 | − | 0.628258i | −0.999748 | − | 0.0224549i | \(-0.992852\pi\) |
0.795614 | − | 0.605803i | \(-0.207148\pi\) | |||||||
\(224\) | 73.4755 | − | 226.134i | 0.328016 | − | 1.00953i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 56.9011 | − | 78.3177i | 0.251775 | − | 0.346539i | ||||
\(227\) | 130.316 | + | 42.3421i | 0.574078 | + | 0.186529i | 0.581646 | − | 0.813442i | \(-0.302409\pi\) |
−0.00756813 | + | 0.999971i | \(0.502409\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −69.3377 | + | 50.3768i | −0.302785 | + | 0.219986i | −0.728794 | − | 0.684733i | \(-0.759919\pi\) |
0.426010 | + | 0.904719i | \(0.359919\pi\) | |||||||
\(230\) | 2.31649i | 0.0100717i | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −172.485 | −0.743469 | ||||||||
\(233\) | −127.215 | − | 175.096i | −0.545986 | − | 0.751486i | 0.443474 | − | 0.896287i | \(-0.353746\pi\) |
−0.989461 | + | 0.144801i | \(0.953746\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −6.80150 | + | 20.9329i | −0.0289426 | + | 0.0890761i | ||||
\(236\) | −61.6336 | − | 44.7794i | −0.261159 | − | 0.189743i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −141.208 | − | 45.8814i | −0.593313 | − | 0.192779i | ||||
\(239\) | −157.155 | + | 51.0629i | −0.657554 | + | 0.213652i | −0.618742 | − | 0.785594i | \(-0.712357\pi\) |
−0.0388122 | + | 0.999247i | \(0.512357\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 233.818i | 0.970199i | 0.874459 | + | 0.485100i | \(0.161217\pi\) | ||||
−0.874459 | + | 0.485100i | \(0.838783\pi\) | |||||||
\(242\) | −60.9467 | − | 102.081i | −0.251846 | − | 0.421822i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −59.5855 | − | 82.0124i | −0.244203 | − | 0.336116i | ||||
\(245\) | 0.396437 | + | 1.22011i | 0.00161811 | + | 0.00498004i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −109.321 | − | 79.4261i | −0.442594 | − | 0.321563i | ||||
\(248\) | −242.244 | + | 333.420i | −0.976790 | + | 1.34444i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 18.5176 | − | 6.01672i | 0.0740703 | − | 0.0240669i | ||||
\(251\) | 216.317 | − | 157.163i | 0.861819 | − | 0.626148i | −0.0665602 | − | 0.997782i | \(-0.521202\pi\) |
0.928379 | + | 0.371634i | \(0.121202\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 2.93680 | − | 65.1627i | 0.0116079 | − | 0.257560i | ||||
\(254\) | −21.4850 | −0.0845866 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −50.2188 | − | 154.558i | −0.196167 | − | 0.603741i | ||||
\(257\) | −15.3004 | + | 47.0899i | −0.0595348 | + | 0.183229i | −0.976401 | − | 0.215965i | \(-0.930710\pi\) |
0.916866 | + | 0.399195i | \(0.130710\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −25.3468 | + | 34.8869i | −0.0978642 | + | 0.134698i | ||||
\(260\) | 13.9522 | + | 4.53336i | 0.0536625 | + | 0.0174360i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 13.0043 | − | 9.44816i | 0.0496347 | − | 0.0360617i | ||||
\(263\) | 198.763i | 0.755752i | 0.925856 | + | 0.377876i | \(0.123345\pi\) | ||||
−0.925856 | + | 0.377876i | \(0.876655\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −37.6313 | −0.142005 | ||||||||
\(266\) | −46.3821 | − | 63.8395i | −0.174369 | − | 0.239998i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 88.7693 | − | 273.204i | 0.331229 | − | 1.01942i | ||||
\(269\) | 8.71548 | + | 6.33217i | 0.0323995 | + | 0.0235397i | 0.603867 | − | 0.797085i | \(-0.293626\pi\) |
−0.571468 | + | 0.820625i | \(0.693626\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 277.924 | + | 90.3028i | 1.02555 | + | 0.333221i | 0.773029 | − | 0.634371i | \(-0.218741\pi\) |
0.252520 | + | 0.967592i | \(0.418741\pi\) | |||||||
\(272\) | 106.327 | − | 34.5477i | 0.390908 | − | 0.127014i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 30.0560i | 0.109693i | ||||||||
\(275\) | −263.425 | + | 72.6559i | −0.957910 | + | 0.264203i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −103.077 | − | 141.874i | −0.372120 | − | 0.512179i | 0.581356 | − | 0.813650i | \(-0.302523\pi\) |
−0.953476 | + | 0.301470i | \(0.902523\pi\) | |||||||
\(278\) | −8.42466 | − | 25.9284i | −0.0303045 | − | 0.0932677i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 16.0666 | + | 11.6731i | 0.0573807 | + | 0.0416895i | ||||
\(281\) | −133.651 | + | 183.955i | −0.475626 | + | 0.654644i | −0.977657 | − | 0.210206i | \(-0.932586\pi\) |
0.502031 | + | 0.864850i | \(0.332586\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −225.825 | + | 73.3749i | −0.797967 | + | 0.259275i | −0.679493 | − | 0.733682i | \(-0.737800\pi\) |
−0.118474 | + | 0.992957i | \(0.537800\pi\) | |||||||
\(284\) | 203.088 | − | 147.552i | 0.715100 | − | 0.519551i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 123.037 | + | 46.1989i | 0.430201 | + | 0.161535i | ||||
\(287\) | 376.080 | 1.31038 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −45.7992 | − | 140.955i | −0.158475 | − | 0.487735i | ||||
\(290\) | 3.01242 | − | 9.27128i | 0.0103877 | − | 0.0319699i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −83.0811 | + | 114.351i | −0.284524 | + | 0.391614i | ||||
\(293\) | −27.8981 | − | 9.06463i | −0.0952152 | − | 0.0309373i | 0.261022 | − | 0.965333i | \(-0.415940\pi\) |
−0.356237 | + | 0.934396i | \(0.615940\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 8.07499 | − | 5.86682i | 0.0273728 | − | 0.0198875i | ||||
\(296\) | 41.2437i | 0.139337i | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 195.341 | 0.655507 | ||||||||
\(299\) | 42.3827 | + | 58.3347i | 0.141748 | + | 0.195099i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −39.4025 | + | 121.268i | −0.130905 | + | 0.402885i | ||||
\(302\) | 103.742 | + | 75.3731i | 0.343517 | + | 0.249580i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 56.5094 | + | 18.3610i | 0.185886 | + | 0.0603981i | ||||
\(305\) | 12.6314 | − | 4.10420i | 0.0414145 | − | 0.0134564i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 347.331i | 1.13137i | 0.824621 | + | 0.565686i | \(0.191389\pi\) | ||||
−0.824621 | + | 0.565686i | \(0.808611\pi\) | |||||||
\(308\) | −188.579 | − | 150.436i | −0.612269 | − | 0.488427i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −13.6910 | − | 18.8441i | −0.0441646 | − | 0.0607873i | ||||
\(311\) | −136.144 | − | 419.008i | −0.437762 | − | 1.34729i | −0.890230 | − | 0.455512i | \(-0.849456\pi\) |
0.452467 | − | 0.891781i | \(-0.350544\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 20.6012 | + | 14.9677i | 0.0658186 | + | 0.0478200i | 0.620208 | − | 0.784437i | \(-0.287048\pi\) |
−0.554389 | + | 0.832257i | \(0.687048\pi\) | |||||||
\(314\) | 40.7669 | − | 56.1108i | 0.129831 | − | 0.178697i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 174.083 | − | 56.5631i | 0.550896 | − | 0.178997i | ||||
\(317\) | 73.9310 | − | 53.7140i | 0.233221 | − | 0.169445i | −0.465037 | − | 0.885291i | \(-0.653959\pi\) |
0.698258 | + | 0.715846i | \(0.253959\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −96.4933 | + | 256.982i | −0.302487 | + | 0.805586i | ||||
\(320\) | 4.34975 | 0.0135930 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 13.0119 | + | 40.0464i | 0.0404095 | + | 0.124368i | ||||
\(323\) | 71.8041 | − | 220.990i | 0.222304 | − | 0.684180i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 177.552 | − | 244.380i | 0.546315 | − | 0.751938i | ||||
\(326\) | 71.8706 | + | 23.3522i | 0.220462 | + | 0.0716324i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 290.999 | − | 211.423i | 0.887192 | − | 0.644583i | ||||
\(329\) | 400.083i | 1.21606i | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −318.761 | −0.963024 | −0.481512 | − | 0.876439i | \(-0.659912\pi\) | ||||
−0.481512 | + | 0.876439i | \(0.659912\pi\) | |||||||
\(332\) | −268.751 | − | 369.904i | −0.809491 | − | 1.11417i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −30.8967 | + | 95.0904i | −0.0925052 | + | 0.284702i | ||||
\(335\) | 30.4483 | + | 22.1220i | 0.0908903 | + | 0.0660357i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 587.526 | + | 190.899i | 1.74340 | + | 0.566465i | 0.995275 | − | 0.0970929i | \(-0.0309544\pi\) |
0.748125 | + | 0.663558i | \(0.230954\pi\) | |||||||
\(338\) | 19.7568 | − | 6.41937i | 0.0584520 | − | 0.0189922i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 25.2267i | 0.0741961i | ||||||||
\(341\) | 361.238 | + | 547.441i | 1.05935 | + | 1.60540i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −194.436 | − | 267.618i | −0.566869 | − | 0.780228i | ||||
\(344\) | 37.6857 | + | 115.985i | 0.109551 | + | 0.337165i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 99.2867 | + | 72.1360i | 0.286956 | + | 0.208486i | ||||
\(347\) | 118.221 | − | 162.717i | 0.340694 | − | 0.468925i | −0.603950 | − | 0.797022i | \(-0.706407\pi\) |
0.944644 | + | 0.328097i | \(0.106407\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 461.013 | − | 149.792i | 1.32095 | − | 0.429204i | 0.438131 | − | 0.898911i | \(-0.355640\pi\) |
0.882822 | + | 0.469707i | \(0.155640\pi\) | |||||||
\(350\) | 142.709 | − | 103.684i | 0.407741 | − | 0.296241i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −361.548 | − | 16.2945i | −1.02712 | − | 0.0462911i | ||||
\(353\) | −108.957 | −0.308661 | −0.154330 | − | 0.988019i | \(-0.549322\pi\) | ||||
−0.154330 | + | 0.988019i | \(0.549322\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 10.1633 | + | 31.2794i | 0.0286290 | + | 0.0881109i | ||||
\(356\) | −125.834 | + | 387.276i | −0.353465 | + | 1.08785i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −59.6196 | + | 82.0593i | −0.166535 | + | 0.229216i | ||||
\(359\) | 407.539 | + | 132.418i | 1.13521 | + | 0.368851i | 0.815553 | − | 0.578683i | \(-0.196433\pi\) |
0.319655 | + | 0.947534i | \(0.396433\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −192.147 | + | 139.603i | −0.532262 | + | 0.386711i | ||||
\(362\) | 110.501i | 0.305252i | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 266.664 | 0.732594 | ||||||||
\(365\) | −10.8849 | − | 14.9818i | −0.0298218 | − | 0.0410462i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 132.239 | − | 406.991i | 0.360325 | − | 1.10897i | −0.592532 | − | 0.805547i | \(-0.701871\pi\) |
0.952857 | − | 0.303420i | \(-0.0981285\pi\) | |||||||
\(368\) | −25.6506 | − | 18.6362i | −0.0697027 | − | 0.0506419i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −2.21691 | − | 0.720316i | −0.00599164 | − | 0.00194680i | ||||
\(371\) | −650.553 | + | 211.377i | −1.75351 | + | 0.569751i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | − | 104.312i | − | 0.279656i | −0.990176 | − | 0.139828i | \(-0.955345\pi\) | ||
0.990176 | − | 0.139828i | \(-0.0446549\pi\) | |||||||
\(374\) | −10.1750 | + | 225.767i | −0.0272059 | + | 0.603654i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 224.917 | + | 309.571i | 0.598182 | + | 0.823327i | ||||
\(377\) | −93.7682 | − | 288.589i | −0.248722 | − | 0.765488i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −181.753 | − | 132.051i | −0.479558 | − | 0.348420i | 0.321596 | − | 0.946877i | \(-0.395781\pi\) |
−0.801155 | + | 0.598457i | \(0.795781\pi\) | |||||||
\(380\) | −7.88054 | + | 10.8466i | −0.0207383 | + | 0.0285438i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −178.552 | + | 58.0152i | −0.467415 | + | 0.151872i | ||||
\(383\) | 47.9484 | − | 34.8366i | 0.125192 | − | 0.0909571i | −0.523427 | − | 0.852070i | \(-0.675347\pi\) |
0.648619 | + | 0.761113i | \(0.275347\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 26.3796 | − | 17.4071i | 0.0685186 | − | 0.0452131i | ||||
\(386\) | 53.6068 | 0.138878 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 35.2648 | + | 108.534i | 0.0908886 | + | 0.279726i | ||||
\(389\) | 127.369 | − | 392.001i | 0.327426 | − | 1.00771i | −0.642908 | − | 0.765944i | \(-0.722272\pi\) |
0.970334 | − | 0.241770i | \(-0.0777279\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −72.8804 | + | 100.311i | −0.186395 | + | 0.256550i | ||||
\(392\) | 21.2119 | + | 6.89215i | 0.0541119 | + | 0.0175820i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 59.8531 | − | 43.4858i | 0.151911 | − | 0.110370i | ||||
\(395\) | 23.9814i | 0.0607125i | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 619.925 | 1.56152 | 0.780762 | − | 0.624829i | \(-0.214831\pi\) | ||||
0.780762 | + | 0.624829i | \(0.214831\pi\) | |||||||
\(398\) | −35.0678 | − | 48.2666i | −0.0881100 | − | 0.121273i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −41.0450 | + | 126.323i | −0.102612 | + | 0.315809i | ||||
\(401\) | −543.725 | − | 395.039i | −1.35592 | − | 0.985135i | −0.998693 | − | 0.0511186i | \(-0.983721\pi\) |
−0.357230 | − | 0.934017i | \(-0.616279\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −689.546 | − | 224.047i | −1.71103 | − | 0.555948i | ||||
\(404\) | 233.197 | − | 75.7702i | 0.577219 | − | 0.187550i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | − | 177.199i | − | 0.436450i | ||||||
\(407\) | 61.4483 | + | 23.0730i | 0.150979 | + | 0.0566905i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −361.103 | − | 497.016i | −0.882893 | − | 1.21520i | −0.975611 | − | 0.219505i | \(-0.929556\pi\) |
0.0927184 | − | 0.995692i | \(-0.470444\pi\) | |||||||
\(410\) | 6.28202 | + | 19.3341i | 0.0153220 | + | 0.0471562i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −244.674 | − | 177.766i | −0.593869 | − | 0.431471i | ||||
\(413\) | 106.642 | − | 146.781i | 0.258214 | − | 0.355401i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 56.9721 | − | 18.5113i | 0.137282 | − | 0.0446056i | ||||
\(416\) | 323.663 | − | 235.155i | 0.778037 | − | 0.565277i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −74.9020 | + | 93.8936i | −0.179191 | + | 0.224626i | ||||
\(419\) | 60.9488 | 0.145462 | 0.0727312 | − | 0.997352i | \(-0.476828\pi\) | ||||
0.0727312 | + | 0.997352i | \(0.476828\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 64.4635 | + | 198.398i | 0.153120 | + | 0.471255i | 0.997966 | − | 0.0637555i | \(-0.0203078\pi\) |
−0.844846 | + | 0.535010i | \(0.820308\pi\) | |||||||
\(422\) | −124.243 | + | 382.381i | −0.294415 | + | 0.906116i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −384.546 | + | 529.282i | −0.906948 | + | 1.24831i | ||||
\(425\) | 494.011 | + | 160.514i | 1.16238 | + | 0.377680i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 195.313 | − | 141.903i | 0.457407 | − | 0.332326i | ||||
\(428\) | 328.502i | 0.767528i | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −6.89250 | −0.0160291 | ||||||||
\(431\) | −159.126 | − | 219.018i | −0.369202 | − | 0.508163i | 0.583482 | − | 0.812126i | \(-0.301690\pi\) |
−0.952684 | + | 0.303963i | \(0.901690\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −193.847 | + | 596.600i | −0.447684 | + | 1.37783i | 0.431830 | + | 0.901955i | \(0.357868\pi\) |
−0.879514 | + | 0.475873i | \(0.842132\pi\) | |||||||
\(434\) | −342.532 | − | 248.864i | −0.789245 | − | 0.573420i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −506.345 | − | 164.521i | −1.16134 | − | 0.377343i | ||||
\(437\) | −62.6723 | + | 20.3635i | −0.143415 | + | 0.0465983i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 495.244i | 1.12812i | 0.825734 | + | 0.564060i | \(0.190761\pi\) | ||||
−0.825734 | + | 0.564060i | \(0.809239\pi\) | |||||||
\(440\) | 10.6259 | − | 28.2990i | 0.0241498 | − | 0.0643159i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −146.841 | − | 202.110i | −0.332220 | − | 0.457262i | ||||
\(443\) | −229.292 | − | 705.688i | −0.517589 | − | 1.59298i | −0.778521 | − | 0.627618i | \(-0.784030\pi\) |
0.260932 | − | 0.965357i | \(-0.415970\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −43.1614 | − | 31.3586i | −0.0969920 | − | 0.0704688i | ||||
\(446\) | 85.0782 | − | 117.100i | 0.190758 | − | 0.262556i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 75.1966 | − | 24.4329i | 0.167850 | − | 0.0545376i | ||||
\(449\) | −577.287 | + | 419.423i | −1.28572 | + | 0.934128i | −0.999710 | − | 0.0240995i | \(-0.992328\pi\) |
−0.286007 | + | 0.958227i | \(0.592328\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −152.202 | − | 551.831i | −0.337476 | − | 1.22357i | ||||
\(452\) | −298.975 | −0.661449 | ||||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 41.6040 | + | 128.044i | 0.0916388 | + | 0.282035i | ||||
\(455\) | −10.7962 | + | 33.2273i | −0.0237279 | + | 0.0730270i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −166.058 | + | 228.559i | −0.363364 | + | 0.500128i | −0.951082 | − | 0.308938i | \(-0.900027\pi\) |
0.587718 | + | 0.809066i | \(0.300027\pi\) | |||||||
\(458\) | −80.0905 | − | 26.0230i | −0.174870 | − | 0.0568187i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 5.78789 | − | 4.20515i | 0.0125824 | − | 0.00914162i | ||||
\(461\) | 198.186i | 0.429905i | 0.976624 | + | 0.214953i | \(0.0689597\pi\) | ||||
−0.976624 | + | 0.214953i | \(0.931040\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −226.915 | −0.490097 | −0.245049 | − | 0.969511i | \(-0.578804\pi\) | ||||
−0.245049 | + | 0.969511i | \(0.578804\pi\) | |||||||
\(464\) | 78.4263 | + | 107.945i | 0.169022 | + | 0.232639i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 65.7150 | − | 202.250i | 0.141019 | − | 0.434013i | ||||
\(467\) | 121.076 | + | 87.9672i | 0.259264 | + | 0.188367i | 0.709823 | − | 0.704380i | \(-0.248775\pi\) |
−0.450558 | + | 0.892747i | \(0.648775\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 650.636 | + | 211.404i | 1.38728 | + | 0.450756i | ||||
\(470\) | −20.5680 | + | 6.68295i | −0.0437617 | + | 0.0142190i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | − | 173.526i | − | 0.367640i | ||||||
\(473\) | 193.886 | + | 8.73818i | 0.409907 | + | 0.0184740i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 162.266 | + | 223.339i | 0.341612 | + | 0.470188i | ||||
\(476\) | 141.700 | + | 436.107i | 0.297689 | + | 0.916192i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −131.354 | − | 95.4344i | −0.274799 | − | 0.199653i | ||||
\(479\) | −191.483 | + | 263.554i | −0.399755 | + | 0.550216i | −0.960683 | − | 0.277649i | \(-0.910445\pi\) |
0.560927 | + | 0.827865i | \(0.310445\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −69.0060 | + | 22.4214i | −0.143464 | + | 0.0466142i | ||||
\(482\) | −185.865 | + | 135.039i | −0.385613 | + | 0.280164i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −144.418 | + | 337.588i | −0.298385 | + | 0.697496i | ||||
\(485\) | −14.9514 | −0.0308277 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −94.8447 | − | 291.902i | −0.194753 | − | 0.599388i | −0.999979 | − | 0.00642054i | \(-0.997956\pi\) |
0.805226 | − | 0.592967i | \(-0.202044\pi\) | |||||||
\(488\) | 71.3524 | − | 219.600i | 0.146214 | − | 0.450000i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −0.740925 | + | 1.01980i | −0.00151209 | + | 0.00208121i | ||||
\(491\) | 583.829 | + | 189.698i | 1.18906 | + | 0.386349i | 0.835726 | − | 0.549147i | \(-0.185047\pi\) |
0.353335 | + | 0.935497i | \(0.385047\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 422.137 | − | 306.700i | 0.856261 | − | 0.622110i | ||||
\(494\) | − | 132.772i | − | 0.268770i | ||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 318.806 | 0.642754 | ||||||||
\(497\) | 351.397 | + | 483.656i | 0.707035 | + | 0.973151i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 126.532 | − | 389.425i | 0.253571 | − | 0.780412i | −0.740537 | − | 0.672016i | \(-0.765429\pi\) |
0.994108 | − | 0.108396i | \(-0.0345714\pi\) | |||||||
\(500\) | −48.6483 | − | 35.3451i | −0.0972966 | − | 0.0706901i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 249.863 | + | 81.1853i | 0.497734 | + | 0.161724i | ||||
\(503\) | −673.153 | + | 218.721i | −1.33828 | + | 0.434832i | −0.888732 | − | 0.458426i | \(-0.848413\pi\) |
−0.449543 | + | 0.893259i | \(0.648413\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 32.1248i | 0.0636134i | ||||||||
\(506\) | 53.4949 | − | 35.2995i | 0.105721 | − | 0.0697619i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 39.0019 | + | 53.6816i | 0.0767755 | + | 0.105672i | ||||
\(509\) | −63.6414 | − | 195.868i | −0.125032 | − | 0.384810i | 0.868875 | − | 0.495032i | \(-0.164844\pi\) |
−0.993907 | + | 0.110222i | \(0.964844\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −272.328 | − | 197.858i | −0.532932 | − | 0.387197i | ||||
\(512\) | −190.291 | + | 261.913i | −0.371662 | + | 0.511549i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −46.2691 | + | 15.0337i | −0.0900177 | + | 0.0292485i | ||||
\(515\) | 32.0562 | − | 23.2902i | 0.0622450 | − | 0.0452237i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 587.050 | − | 161.915i | 1.13549 | − | 0.313183i | ||||
\(518\) | −42.3709 | −0.0817971 | ||||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 10.3258 | + | 31.7796i | 0.0198573 | + | 0.0611146i | ||||
\(521\) | 102.734 | − | 316.183i | 0.197186 | − | 0.606877i | −0.802758 | − | 0.596305i | \(-0.796635\pi\) |
0.999944 | − | 0.0105716i | \(-0.00336511\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 183.858 | − | 253.058i | 0.351544 | − | 0.483859i | −0.596225 | − | 0.802818i | \(-0.703333\pi\) |
0.947769 | + | 0.318959i | \(0.103333\pi\) | |||||||
\(524\) | −47.2137 | − | 15.3406i | −0.0901024 | − | 0.0292760i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −157.999 | + | 114.793i | −0.300379 | + | 0.218238i | ||||
\(527\) | − | 1246.75i | − | 2.36575i | ||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −493.836 | −0.933528 | ||||||||
\(530\) | −21.7336 | − | 29.9137i | −0.0410067 | − | 0.0564409i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −75.3090 | + | 231.777i | −0.141558 | + | 0.435671i | ||||
\(533\) | 511.934 | + | 371.942i | 0.960477 | + | 0.697827i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −40.9325 | − | 13.2998i | −0.0765094 | − | 0.0248594i | ||||
\(536\) | 622.288 | − | 202.194i | 1.16098 | − | 0.377227i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 10.5851i | 0.0196750i | ||||||||
\(539\) | 22.1351 | − | 27.7475i | 0.0410669 | − | 0.0514796i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 35.8960 | + | 49.4065i | 0.0663511 | + | 0.0913245i | 0.840903 | − | 0.541186i | \(-0.182025\pi\) |
−0.774552 | + | 0.632510i | \(0.782025\pi\) | |||||||
\(542\) | 88.7288 | + | 273.079i | 0.163706 | + | 0.503836i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 556.565 | + | 404.368i | 1.02310 | + | 0.743324i | ||||
\(545\) | 40.9999 | − | 56.4315i | 0.0752292 | − | 0.103544i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 543.135 | − | 176.475i | 0.992933 | − | 0.322624i | 0.232895 | − | 0.972502i | \(-0.425180\pi\) |
0.760038 | + | 0.649878i | \(0.225180\pi\) | |||||||
\(548\) | 75.0968 | − | 54.5610i | 0.137038 | − | 0.0995639i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −209.894 | − | 167.439i | −0.381625 | − | 0.304435i | ||||
\(551\) | 277.315 | 0.503294 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 134.705 | + | 414.580i | 0.243590 | + | 0.749692i | ||||
\(554\) | 53.2463 | − | 163.875i | 0.0961125 | − | 0.295804i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −49.4904 | + | 68.1177i | −0.0890115 | + | 0.122514i | ||||
\(557\) | −669.660 | − | 217.586i | −1.20226 | − | 0.390638i | −0.361669 | − | 0.932307i | \(-0.617793\pi\) |
−0.840592 | + | 0.541668i | \(0.817793\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −173.570 | + | 126.106i | −0.310501 | + | 0.225592i | ||||
\(560\) | − | 15.3624i | − | 0.0274328i | ||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −223.417 | −0.397539 | ||||||||
\(563\) | 296.842 | + | 408.568i | 0.527251 | + | 0.725699i | 0.986708 | − | 0.162501i | \(-0.0519561\pi\) |
−0.459457 | + | 0.888200i | \(0.651956\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 12.1044 | − | 37.2534i | 0.0214236 | − | 0.0659351i | ||||
\(566\) | −188.749 | − | 137.135i | −0.333480 | − | 0.242287i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 543.799 | + | 176.691i | 0.957392 | + | 0.311076i | ||||
\(569\) | 640.526 | − | 208.120i | 1.12570 | − | 0.365764i | 0.313763 | − | 0.949501i | \(-0.398410\pi\) |
0.811942 | + | 0.583738i | \(0.198410\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | − | 446.598i | − | 0.782134i | −0.920362 | − | 0.391067i | \(-0.872106\pi\) | ||
0.920362 | − | 0.391067i | \(-0.127894\pi\) | |||||||
\(572\) | −107.920 | − | 391.282i | −0.188672 | − | 0.684059i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 217.201 | + | 298.952i | 0.378399 | + | 0.520822i | ||||
\(575\) | −45.5213 | − | 140.100i | −0.0791675 | − | 0.243653i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 466.552 | + | 338.970i | 0.808583 | + | 0.587470i | 0.913419 | − | 0.407020i | \(-0.133432\pi\) |
−0.104837 | + | 0.994489i | \(0.533432\pi\) | |||||||
\(578\) | 85.5967 | − | 117.814i | 0.148091 | − | 0.203830i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −28.6334 | + | 9.30354i | −0.0493679 | + | 0.0160406i | ||||
\(581\) | 880.928 | − | 640.031i | 1.51623 | − | 1.10160i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 573.441 | + | 869.025i | 0.983603 | + | 1.49061i | ||||
\(584\) | −321.949 | −0.551283 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −8.90662 | − | 27.4118i | −0.0151990 | − | 0.0467777i | ||||
\(587\) | −280.070 | + | 861.968i | −0.477122 | + | 1.46843i | 0.365953 | + | 0.930633i | \(0.380743\pi\) |
−0.843075 | + | 0.537796i | \(0.819257\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 389.471 | − | 536.061i | 0.661241 | − | 0.910121i | ||||
\(590\) | 9.32725 | + | 3.03061i | 0.0158089 | + | 0.00513662i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 25.8112 | − | 18.7529i | 0.0436000 | − | 0.0316772i | ||||
\(593\) | 724.877i | 1.22239i | 0.791480 | + | 0.611195i | \(0.209311\pi\) | ||||
−0.791480 | + | 0.611195i | \(0.790689\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −60.0774 | −0.100970 | ||||||||
\(596\) | −354.605 | − | 488.072i | −0.594975 | − | 0.818912i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −21.8935 | + | 67.3812i | −0.0366112 | + | 0.112678i | ||||
\(599\) | 322.233 | + | 234.116i | 0.537951 | + | 0.390844i | 0.823323 | − | 0.567572i | \(-0.192117\pi\) |
−0.285373 | + | 0.958417i | \(0.592117\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −937.236 | − | 304.526i | −1.55946 | − | 0.506700i | −0.602797 | − | 0.797894i | \(-0.705947\pi\) |
−0.956664 | + | 0.291195i | \(0.905947\pi\) | |||||||
\(602\) | −119.154 | + | 38.7156i | −0.197931 | + | 0.0643117i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | − | 396.032i | − | 0.655682i | ||||||
\(605\) | −36.2177 | − | 31.6627i | −0.0598640 | − | 0.0523350i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −105.195 | − | 144.789i | −0.173304 | − | 0.238532i | 0.713526 | − | 0.700629i | \(-0.247097\pi\) |
−0.886829 | + | 0.462097i | \(0.847097\pi\) | |||||||
\(608\) | 112.984 | + | 347.730i | 0.185829 | + | 0.571924i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 10.5576 | + | 7.67057i | 0.0173076 | + | 0.0125747i | ||||
\(611\) | −395.680 | + | 544.607i | −0.647594 | + | 0.891336i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −1008.97 | + | 327.833i | −1.64595 | + | 0.534800i | −0.977856 | − | 0.209280i | \(-0.932888\pi\) |
−0.668090 | + | 0.744080i | \(0.732888\pi\) | |||||||
\(614\) | −276.099 | + | 200.597i | −0.449672 | + | 0.326706i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 24.7385 | − | 548.907i | 0.0401599 | − | 0.891082i | ||||
\(617\) | −55.3570 | −0.0897196 | −0.0448598 | − | 0.998993i | \(-0.514284\pi\) | ||||
−0.0448598 | + | 0.998993i | \(0.514284\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −232.546 | − | 715.704i | −0.375681 | − | 1.15623i | −0.943018 | − | 0.332741i | \(-0.892027\pi\) |
0.567338 | − | 0.823485i | \(-0.307973\pi\) | |||||||
\(620\) | −22.2296 | + | 68.4157i | −0.0358542 | + | 0.110348i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 254.447 | − | 350.217i | 0.409079 | − | 0.563049i | ||||
\(623\) | −922.299 | − | 299.673i | −1.48042 | − | 0.481016i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −496.065 | + | 360.412i | −0.793704 | + | 0.576660i | ||||
\(626\) | 25.0206i | 0.0399690i | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −214.201 | −0.341084 | ||||||||
\(629\) | −73.3367 | − | 100.939i | −0.116593 | − | 0.160476i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −103.743 | + | 319.289i | −0.164411 | + | 0.506005i | −0.998992 | − | 0.0448799i | \(-0.985709\pi\) |
0.834582 | + | 0.550884i | \(0.185709\pi\) | |||||||
\(632\) | 337.297 | + | 245.061i | 0.533698 | + | 0.387754i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 85.3961 | + | 27.7469i | 0.134694 | + | 0.0437648i | ||||
\(635\) | −8.26796 | + | 2.68642i | −0.0130204 | + | 0.00423059i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 39.2369i | 0.0615964i | ||||||||
\(638\) | −260.007 | + | 71.7132i | −0.407535 | + | 0.112403i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −28.2426 | − | 38.8726i | −0.0441290 | − | 0.0607384i | ||||
\(641\) | 170.606 | + | 525.071i | 0.266156 | + | 0.819144i | 0.991425 | + | 0.130678i | \(0.0417154\pi\) |
−0.725269 | + | 0.688466i | \(0.758285\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 111.934 | + | 81.3249i | 0.174081 | + | 0.126477i | 0.671414 | − | 0.741082i | \(-0.265687\pi\) |
−0.497333 | + | 0.867560i | \(0.665687\pi\) | |||||||
\(644\) | 76.4378 | − | 105.208i | 0.118692 | − | 0.163366i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 217.138 | − | 70.5525i | 0.336127 | − | 0.109214i | ||||
\(647\) | −819.415 | + | 595.340i | −1.26648 | + | 0.920154i | −0.999057 | − | 0.0434241i | \(-0.986173\pi\) |
−0.267427 | + | 0.963578i | \(0.586173\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −258.533 | − | 97.0758i | −0.398356 | − | 0.149578i | ||||
\(650\) | 296.805 | 0.456623 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −72.1207 | − | 221.965i | −0.110615 | − | 0.340437i | ||||
\(653\) | 2.38169 | − | 7.33010i | 0.00364731 | − | 0.0112253i | −0.949216 | − | 0.314624i | \(-0.898121\pi\) |
0.952864 | + | 0.303399i | \(0.0981215\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 3.82300 | − | 5.26191i | 0.00583664 | − | 0.00803345i | ||||
\(656\) | −264.626 | − | 85.9822i | −0.403393 | − | 0.131070i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −318.032 | + | 231.063i | −0.483331 | + | 0.351160i | ||||
\(659\) | − | 736.073i | − | 1.11695i | −0.829520 | − | 0.558477i | \(-0.811386\pi\) | ||
0.829520 | − | 0.558477i | \(-0.188614\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −471.170 | −0.712813 | −0.356407 | − | 0.934331i | \(-0.615998\pi\) | ||||
−0.356407 | + | 0.934331i | \(0.615998\pi\) | |||||||
\(662\) | −184.097 | − | 253.388i | −0.278092 | − | 0.382761i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 321.824 | − | 990.472i | 0.484674 | − | 1.49167i | ||||
\(665\) | −25.8313 | − | 18.7675i | −0.0388441 | − | 0.0282219i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −140.736 | − | 45.7278i | −0.210998 | − | 0.0685574i | ||||
\(668\) | 293.677 | − | 95.4213i | 0.439635 | − | 0.142846i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 36.9801i | 0.0551941i | ||||||||
\(671\) | −287.262 | − | 229.158i | −0.428110 | − | 0.341517i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 676.225 | + | 930.745i | 1.00479 | + | 1.38298i | 0.922338 | + | 0.386384i | \(0.126276\pi\) |
0.0824545 | + | 0.996595i | \(0.473724\pi\) | |||||||
\(674\) | 187.571 | + | 577.285i | 0.278295 | + | 0.856505i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −51.9039 | − | 37.7104i | −0.0767809 | − | 0.0557846i | ||||
\(677\) | 689.120 | − | 948.493i | 1.01790 | − | 1.40102i | 0.104239 | − | 0.994552i | \(-0.466759\pi\) |
0.913664 | − | 0.406471i | \(-0.133241\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −258.474 | + | 83.9832i | −0.380668 | + | 0.123687i | ||||
\(680\) | −46.4860 | + | 33.7740i | −0.0683617 | + | 0.0496677i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −226.539 | + | 603.322i | −0.332169 | + | 0.884636i | ||||
\(683\) | 329.083 | 0.481820 | 0.240910 | − | 0.970547i | \(-0.422554\pi\) | ||||
0.240910 | + | 0.970547i | \(0.422554\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 3.75812 | + | 11.5663i | 0.00548631 | + | 0.0168851i | ||||
\(686\) | 100.439 | − | 309.120i | 0.146413 | − | 0.450612i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 55.4505 | − | 76.3210i | 0.0805966 | − | 0.110932i | ||||
\(689\) | −1094.61 | − | 355.659i | −1.58869 | − | 0.516197i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −581.750 | + | 422.666i | −0.841896 | + | 0.611674i | −0.922900 | − | 0.385040i | \(-0.874188\pi\) |
0.0810034 | + | 0.996714i | \(0.474188\pi\) | |||||||
\(692\) | − | 379.023i | − | 0.547722i | ||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 197.623 | 0.284760 | ||||||||
\(695\) | −6.48403 | − | 8.92451i | −0.00932955 | − | 0.0128410i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −336.249 | + | 1034.87i | −0.482423 | + | 1.48475i | ||||
\(698\) | 385.325 | + | 279.955i | 0.552042 | + | 0.401082i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −518.124 | − | 168.349i | −0.740178 | − | 0.240498i | ||||
\(701\) | −95.7601 | + | 31.1144i | −0.136605 | + | 0.0443857i | −0.376522 | − | 0.926408i | \(-0.622880\pi\) |
0.239917 | + | 0.970794i | \(0.422880\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | − | 66.3102i | − | 0.0943246i | ||||||
\(704\) | −66.2833 | − | 100.449i | −0.0941524 | − | 0.142684i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −62.9271 | − | 86.6118i | −0.0891319 | − | 0.122680i | ||||
\(707\) | 180.447 | + | 555.358i | 0.255229 | + | 0.785514i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −222.948 | − | 161.981i | −0.314454 | − | 0.228464i | 0.419351 | − | 0.907824i | \(-0.362258\pi\) |
−0.733805 | + | 0.679360i | \(0.762258\pi\) | |||||||
\(710\) | −18.9947 | + | 26.1440i | −0.0267532 | + | 0.0368226i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −882.114 | + | 286.616i | −1.23892 | + | 0.402551i | ||||
\(713\) | −286.048 | + | 207.826i | −0.401190 | + | 0.291481i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 53.1244 | + | 2.39425i | 0.0742999 | + | 0.00334860i | ||||
\(716\) | 313.258 | 0.437512 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 130.109 | + | 400.435i | 0.181211 | + | 0.557710i | ||||
\(719\) | −28.6486 | + | 88.1712i | −0.0398450 | + | 0.122630i | −0.969000 | − | 0.247059i | \(-0.920536\pi\) |
0.929155 | + | 0.369689i | \(0.120536\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 423.350 | − | 582.692i | 0.587171 | − | 0.808172i | ||||
\(722\) | −221.945 | − | 72.1142i | −0.307403 | − | 0.0998811i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 276.095 | − | 200.594i | 0.381346 | − | 0.277064i | ||||
\(725\) | 619.921i | 0.855063i | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 40.4150 | 0.0555915 | 0.0277958 | − | 0.999614i | \(-0.491151\pi\) | ||||
0.0277958 | + | 0.999614i | \(0.491151\pi\) | |||||||
\(728\) | 357.016 | + | 491.390i | 0.490406 | + | 0.674987i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 5.62280 | − | 17.3052i | 0.00770247 | − | 0.0237058i | ||||
\(731\) | −298.467 | − | 216.849i | −0.408300 | − | 0.296647i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 679.400 | + | 220.751i | 0.926876 | + | 0.301160i | 0.733285 | − | 0.679922i | \(-0.237986\pi\) |
0.193592 | + | 0.981082i | \(0.437986\pi\) | |||||||
\(734\) | 399.897 | − | 129.934i | 0.544818 | − | 0.177022i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | − | 195.102i | − | 0.265084i | ||||||
\(737\) | 46.8826 | − | 1040.25i | 0.0636128 | − | 1.41146i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −30.3170 | − | 41.7277i | −0.0410243 | − | 0.0564651i | 0.788012 | − | 0.615660i | \(-0.211110\pi\) |
−0.829036 | + | 0.559195i | \(0.811110\pi\) | |||||||
\(740\) | 2.22462 | + | 6.84667i | 0.00300624 | + | 0.00925226i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −543.747 | − | 395.055i | −0.732813 | − | 0.532420i | ||||
\(743\) | 528.170 | − | 726.964i | 0.710862 | − | 0.978418i | −0.288916 | − | 0.957354i | \(-0.593295\pi\) |
0.999778 | − | 0.0210631i | \(-0.00670509\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 75.1721 | − | 24.4249i | 0.100902 | − | 0.0327851i | ||||
\(746\) | 82.9189 | − | 60.2441i | 0.111151 | − | 0.0807562i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 582.563 | − | 384.414i | 0.778827 | − | 0.513922i | ||||
\(749\) | −782.328 | −1.04450 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 105.701 | + | 325.316i | 0.140748 | + | 0.433177i | 0.996440 | − | 0.0843087i | \(-0.0268682\pi\) |
−0.855692 | + | 0.517485i | \(0.826868\pi\) | |||||||
\(752\) | 91.4698 | − | 281.515i | 0.121635 | − | 0.374355i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 175.249 | − | 241.209i | 0.232425 | − | 0.319906i | ||||
\(755\) | 49.3470 | + | 16.0338i | 0.0653603 | + | 0.0212369i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 653.654 | − | 474.907i | 0.863479 | − | 0.627354i | −0.0653503 | − | 0.997862i | \(-0.520816\pi\) |
0.928829 | + | 0.370508i | \(0.120816\pi\) | |||||||
\(758\) | − | 220.743i | − | 0.291217i | ||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −30.5381 | −0.0401817 | ||||||||
\(761\) | 459.858 | + | 632.941i | 0.604282 | + | 0.831722i | 0.996092 | − | 0.0883239i | \(-0.0281510\pi\) |
−0.391810 | + | 0.920046i | \(0.628151\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 391.808 | − | 1205.86i | 0.513510 | − | 1.58042i | ||||
\(764\) | 469.083 | + | 340.809i | 0.613983 | + | 0.446085i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 55.3842 | + | 17.9954i | 0.0723032 | + | 0.0234927i | ||||
\(767\) | 290.331 | − | 94.3342i | 0.378528 | − | 0.122991i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 652.678i | 0.848736i | 0.905490 | + | 0.424368i | \(0.139504\pi\) | ||||
−0.905490 | + | 0.424368i | \(0.860496\pi\) | |||||||
\(770\) | 29.0724 | + | 10.9163i | 0.0377564 | + | 0.0141770i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −97.3130 | − | 133.940i | −0.126053 | − | 0.173497i | ||||
\(773\) | 267.215 | + | 822.403i | 0.345686 | + | 1.06391i | 0.961216 | + | 0.275797i | \(0.0889419\pi\) |
−0.615530 | + | 0.788113i | \(0.711058\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 1198.33 | + | 870.640i | 1.54624 | + | 1.12341i | ||||
\(776\) | −152.785 | + | 210.291i | −0.196888 | + | 0.270994i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 385.167 | − | 125.148i | 0.495074 | − | 0.160859i | ||||
\(779\) | −467.858 | + | 339.919i | −0.600588 | + | 0.436352i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 567.467 | − | 711.350i | 0.726590 | − | 0.910819i | ||||
\(782\) | −121.830 | −0.155793 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −5.33147 | − | 16.4086i | −0.00680035 | − | 0.0209293i | ||||
\(785\) | 8.67218 | − | 26.6902i | 0.0110474 | − | 0.0340003i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −256.642 | + | 353.238i | −0.326102 | + | 0.448841i | −0.940318 | − | 0.340297i | \(-0.889472\pi\) |
0.614216 | + | 0.789138i | \(0.289472\pi\) | |||||||
\(788\) | −217.304 | − | 70.6063i | −0.275766 | − | 0.0896020i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −19.0632 | + | 13.8502i | −0.0241306 | + | 0.0175319i | ||||
\(791\) | − | 712.010i | − | 0.900139i | ||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 406.208 | 0.512243 | ||||||||
\(794\) | 358.031 | + | 492.787i | 0.450921 | + | 0.620639i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −56.9383 | + | 175.238i | −0.0715305 | + | 0.220148i | ||||
\(797\) | 366.573 | + | 266.331i | 0.459941 | + | 0.334167i | 0.793508 | − | 0.608560i | \(-0.208252\pi\) |
−0.333567 | + | 0.942726i | \(0.608252\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −1100.92 | − | 357.709i | −1.37787 | − | 0.447696i | ||||
\(800\) | −777.330 | + | 252.570i | −0.971662 | + | 0.315712i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | − | 660.366i | − | 0.823399i | ||||||
\(803\) | −180.109 | + | 479.667i | −0.224295 | + | 0.597343i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 10.0146 | + | 13.7839i | 0.0124405 | + | 0.0171228i | ||||
\(806\) | −220.142 | − | 677.526i | −0.273129 | − | 0.840603i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 451.833 | + | 328.276i | 0.559199 | + | 0.406282i | ||||
\(809\) | −67.7382 | + | 93.2336i | −0.0837307 | + | 0.115245i | −0.848828 | − | 0.528670i | \(-0.822691\pi\) |
0.765097 | + | 0.643915i | \(0.222691\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 31.6398 | − | 10.2804i | 0.0390134 | − | 0.0126762i | −0.289445 | − | 0.957195i | \(-0.593471\pi\) |
0.328459 | + | 0.944518i | \(0.393471\pi\) | |||||||
\(812\) | −442.742 | + | 321.671i | −0.545249 | + | 0.396146i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 17.1477 | + | 62.1717i | 0.0210660 | + | 0.0763781i | ||||
\(815\) | 30.5775 | 0.0375184 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −60.5897 | − | 186.476i | −0.0741612 | − | 0.228245i | ||||
\(818\) | 186.534 | − | 574.093i | 0.228037 | − | 0.701825i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 36.9035 | − | 50.7934i | 0.0450043 | − | 0.0619431i | ||||
\(821\) | 680.061 | + | 220.965i | 0.828332 | + | 0.269141i | 0.692343 | − | 0.721569i | \(-0.256579\pi\) |
0.135990 | + | 0.990710i | \(0.456579\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 127.047 | − | 92.3053i | 0.154371 | − | 0.112157i | −0.507918 | − | 0.861405i | \(-0.669585\pi\) |
0.662290 | + | 0.749248i | \(0.269585\pi\) | |||||||
\(824\) | − | 688.866i | − | 0.836002i | ||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 178.268 | 0.215821 | ||||||||
\(827\) | 502.151 | + | 691.151i | 0.607195 | + | 0.835733i | 0.996343 | − | 0.0854425i | \(-0.0272304\pi\) |
−0.389148 | + | 0.921175i | \(0.627230\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −424.643 | + | 1306.92i | −0.512235 | + | 1.57650i | 0.276023 | + | 0.961151i | \(0.410983\pi\) |
−0.788258 | + | 0.615345i | \(0.789017\pi\) | |||||||
\(830\) | 47.6186 | + | 34.5969i | 0.0573718 | + | 0.0416830i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 126.524 | + | 41.1102i | 0.152072 | + | 0.0494113i | ||||
\(833\) | −64.1688 | + | 20.8497i | −0.0770333 | + | 0.0250296i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 40.4564i | 0.0484508i | ||||||||
\(836\) | 370.570 | + | 16.7011i | 0.443265 | + | 0.0199774i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 35.2003 | + | 48.4491i | 0.0420052 | + | 0.0578151i | ||||
\(839\) | −201.645 | − | 620.599i | −0.240339 | − | 0.739689i | −0.996368 | − | 0.0851502i | \(-0.972863\pi\) |
0.756029 | − | 0.654538i | \(-0.227137\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −176.582 | − | 128.294i | −0.209967 | − | 0.152550i | ||||
\(842\) | −120.479 | + | 165.826i | −0.143087 | + | 0.196943i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 1180.94 | − | 383.712i | 1.39922 | − | 0.454635i | ||||
\(845\) | 6.80024 | − | 4.94066i | 0.00804762 | − | 0.00584694i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −803.967 | − | 343.933i | −0.949193 | − | 0.406060i | ||||
\(848\) | 506.083 | 0.596796 | ||||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 157.716 | + | 485.400i | 0.185548 | + | 0.571058i | ||||
\(851\) | −10.9342 | + | 33.6521i | −0.0128487 | + | 0.0395441i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −778.060 | + | 1070.91i | −0.912145 | + | 1.25546i | 0.0542838 | + | 0.998526i | \(0.482712\pi\) |
−0.966429 | + | 0.256934i | \(0.917288\pi\) | |||||||
\(854\) | 225.602 | + | 73.3025i | 0.264171 | + | 0.0858343i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −605.340 | + | 439.806i | −0.707173 | + | 0.513792i | ||||
\(857\) | − | 38.8452i | − | 0.0453269i | −0.999743 | − | 0.0226634i | \(-0.992785\pi\) | ||
0.999743 | − | 0.0226634i | \(-0.00721462\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 227.261 | 0.264564 | 0.132282 | − | 0.991212i | \(-0.457770\pi\) | ||||
0.132282 | + | 0.991212i | \(0.457770\pi\) | |||||||
\(860\) | 12.5120 | + | 17.2213i | 0.0145489 | + | 0.0200248i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 82.1993 | − | 252.983i | 0.0953588 | − | 0.293484i | ||||
\(863\) | 774.412 | + | 562.643i | 0.897348 | + | 0.651962i | 0.937784 | − | 0.347220i | \(-0.112874\pi\) |
−0.0404352 | + | 0.999182i | \(0.512874\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 47.2277 | + | 15.3452i | 0.0545985 | + | 0.0177401i | ||||
\(866\) | −586.200 | + | 190.468i | −0.676906 | + | 0.219940i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 1307.61i | 1.50646i | ||||||||
\(869\) | 553.806 | − | 365.438i | 0.637291 | − | 0.420527i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 676.591 | + | 931.247i | 0.776798 | + | 1.06917i | ||||
\(872\) | −374.737 | − | 1153.32i | −0.429744 | − | 1.32262i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −52.3829 | − | 38.0584i | −0.0599347 | − | 0.0435451i | ||||
\(875\) | 84.1744 | − | 115.856i | 0.0961993 | − | 0.132407i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 1145.02 | − | 372.039i | 1.30561 | − | 0.424218i | 0.428079 | − | 0.903741i | \(-0.359190\pi\) |
0.877529 | + | 0.479523i | \(0.159190\pi\) | |||||||
\(878\) | −393.677 | + | 286.023i | −0.448379 | + | 0.325767i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −22.5416 | + | 6.21724i | −0.0256154 | + | 0.00706504i | ||||
\(881\) | −1170.77 | −1.32892 | −0.664458 | − | 0.747326i | \(-0.731337\pi\) | ||||
−0.664458 | + | 0.747326i | \(0.731337\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 112.550 | + | 346.392i | 0.127463 | + | 0.392290i | 0.994342 | − | 0.106229i | \(-0.0338775\pi\) |
−0.866879 | + | 0.498519i | \(0.833878\pi\) | |||||||
\(884\) | −238.421 | + | 733.785i | −0.269707 | + | 0.830074i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 428.537 | − | 589.830i | 0.483676 | − | 0.665723i | ||||
\(887\) | 270.792 | + | 87.9858i | 0.305290 | + | 0.0991948i | 0.457656 | − | 0.889129i | \(-0.348689\pi\) |
−0.152366 | + | 0.988324i | \(0.548689\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −127.843 | + | 92.8833i | −0.143805 | + | 0.104481i | ||||
\(890\) | − | 52.4205i | − | 0.0588995i | ||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −447.025 | −0.501150 | ||||||||
\(893\) | −361.613 | − | 497.717i | −0.404941 | − | 0.557354i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −12.6826 | + | 39.0331i | −0.0141705 | + | 0.0436124i | ||||
\(896\) | −706.594 | − | 513.371i | −0.788610 | − | 0.572959i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −666.812 | − | 216.660i | −0.742552 | − | 0.241270i | ||||
\(899\) | 1415.11 | − | 459.799i | 1.57410 | − | 0.511456i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | − | 1979.13i | − | 2.19659i | ||||||
\(902\) | 350.756 | − | 439.691i | 0.388865 | − | 0.487463i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −400.274 | − | 550.931i | −0.442781 | − | 0.609436i | ||||
\(905\) | 13.8168 | + | 42.5237i | 0.0152672 | + | 0.0469875i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −612.207 | − | 444.795i | −0.674981 | − | 0.490402i | 0.196708 | − | 0.980462i | \(-0.436975\pi\) |
−0.871689 | + | 0.490060i | \(0.836975\pi\) | |||||||
\(908\) | 244.402 | − | 336.390i | 0.269165 | − | 0.370474i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −32.6481 | + | 10.6080i | −0.0358770 | + | 0.0116572i | ||||
\(911\) | −533.420 | + | 387.552i | −0.585532 | + | 0.425414i | −0.840714 | − | 0.541479i | \(-0.817865\pi\) |
0.255182 | + | 0.966893i | \(0.417865\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −1295.65 | − | 1033.58i | −1.41911 | − | 1.13207i | ||||
\(914\) | −277.589 | −0.303708 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 80.3692 | + | 247.351i | 0.0877393 | + | 0.270034i | ||||
\(917\) | 36.5338 | − | 112.439i | 0.0398406 | − | 0.122617i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −439.038 | + | 604.284i | −0.477735 | + | 0.657545i | −0.978068 | − | 0.208288i | \(-0.933211\pi\) |
0.500333 | + | 0.865833i | \(0.333211\pi\) | |||||||
\(920\) | 15.4979 | + | 5.03557i | 0.0168456 | + | 0.00547345i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −157.541 | + | 114.460i | −0.170869 | + | 0.124144i | ||||
\(923\) | 1005.90i | 1.08981i | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 148.233 | 0.160251 | ||||||||
\(926\) | −131.052 | − | 180.378i | −0.141525 | − | 0.194793i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −253.715 | + | 780.855i | −0.273400 | + | 0.841439i | ||||
\(929\) | −981.029 | − | 712.759i | −1.05601 | − | 0.767233i | −0.0826603 | − | 0.996578i | \(-0.526342\pi\) |
−0.973345 | + | 0.229345i | \(0.926342\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −34.1037 | − | 11.0810i | −0.0366312 | − | 0.0119022i | ||||
\(932\) | −624.627 | + | 202.954i | −0.670201 | + | 0.217761i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 147.050i | 0.157441i | ||||||||
\(935\) | 24.3136 | + | 88.1528i | 0.0260039 | + | 0.0942811i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −935.658 | − | 1287.82i | −0.998568 | − | 1.37441i | −0.926200 | − | 0.377033i | \(-0.876944\pi\) |
−0.0723682 | − | 0.997378i | \(-0.523056\pi\) | |||||||
\(938\) | 207.719 | + | 639.295i | 0.221449 | + | 0.681551i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 54.0351 | + | 39.2588i | 0.0574841 | + | 0.0417647i | ||||
\(941\) | −350.794 | + | 482.827i | −0.372789 | + | 0.513100i | −0.953656 | − | 0.300898i | \(-0.902713\pi\) |
0.580867 | + | 0.813998i | \(0.302713\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 293.486 | − | 95.3594i | 0.311226 | − | 0.101123i | ||||
\(944\) | −108.596 | + | 78.8997i | −0.115038 | + | 0.0835802i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 105.031 | + | 159.169i | 0.111026 | + | 0.168255i | ||||
\(947\) | 883.411 | 0.932852 | 0.466426 | − | 0.884560i | \(-0.345541\pi\) | ||||
0.466426 | + | 0.884560i | \(0.345541\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −175.022 | − | 538.662i | −0.184428 | − | 0.567610i | ||||
\(950\) | −83.8210 | + | 257.975i | −0.0882326 | + | 0.271552i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −613.917 | + | 844.985i | −0.644871 | + | 0.887589i | ||||
\(953\) | 269.023 | + | 87.4107i | 0.282290 | + | 0.0917216i | 0.446740 | − | 0.894664i | \(-0.352585\pi\) |
−0.164450 | + | 0.986385i | \(0.552585\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −61.4573 | + | 44.6514i | −0.0643532 | + | 0.0467554i | ||||
\(956\) | 501.440i | 0.524518i | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −320.091 | −0.334125 | ||||||||
\(959\) | 129.937 | + | 178.843i | 0.135493 | + | 0.186489i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 801.664 | − | 2467.27i | 0.834198 | − | 2.56740i | ||||
\(962\) | −57.6768 | − | 41.9046i | −0.0599551 | − | 0.0435599i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 674.808 | + | 219.258i | 0.700008 | + | 0.227446i | ||||
\(965\) | 20.6292 | − | 6.70284i | 0.0213774 | − | 0.00694595i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | − | 335.731i | − | 0.347188i | −0.984817 | − | 0.173594i | \(-0.944462\pi\) | ||
0.984817 | − | 0.173594i | \(-0.0555381\pi\) | |||||||
\(968\) | −815.434 | + | 185.846i | −0.842391 | + | 0.191990i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −8.63505 | − | 11.8851i | −0.00890211 | − | 0.0122527i | ||||
\(971\) | −431.183 | − | 1327.04i | −0.444061 | − | 1.36668i | −0.883511 | − | 0.468411i | \(-0.844827\pi\) |
0.439450 | − | 0.898267i | \(-0.355173\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −162.223 | − | 117.862i | −0.166724 | − | 0.121132i | ||||
\(974\) | 177.261 | − | 243.978i | 0.181992 | − | 0.250491i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −169.873 | + | 55.1952i | −0.174051 | + | 0.0565524i | ||||
\(977\) | −941.558 | + | 684.082i | −0.963724 | + | 0.700187i | −0.954013 | − | 0.299766i | \(-0.903091\pi\) |
−0.00971140 | + | 0.999953i | \(0.503091\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −66.4577 | + | 1474.59i | −0.0678833 | + | 1.50622i | ||||
\(980\) | 3.89303 | 0.00397248 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 186.391 | + | 573.652i | 0.189807 | + | 0.584167i | ||||
\(983\) | 126.632 | − | 389.732i | 0.128821 | − | 0.396472i | −0.865756 | − | 0.500466i | \(-0.833162\pi\) |
0.994578 | + | 0.103994i | \(0.0331622\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 17.5956 | − | 24.2183i | 0.0178636 | − | 0.0245871i | ||||
\(986\) | 487.601 | + | 158.431i | 0.494525 | + | 0.160681i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −331.740 | + | 241.023i | −0.335769 | + | 0.243951i | ||||
\(989\) | 104.626i | 0.105790i | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 1604.17 | 1.61874 | 0.809372 | − | 0.587297i | \(-0.199808\pi\) | ||||
0.809372 | + | 0.587297i | \(0.199808\pi\) | |||||||
\(992\) | 1153.10 | + | 1587.10i | 1.16240 | + | 1.59990i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −181.520 | + | 558.661i | −0.182616 | + | 0.562033i | ||||
\(995\) | −19.5301 | − | 14.1894i | −0.0196282 | − | 0.0142607i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 68.8415 | + | 22.3680i | 0.0690487 | + | 0.0224353i | 0.343338 | − | 0.939212i | \(-0.388442\pi\) |
−0.274289 | + | 0.961647i | \(0.588442\pi\) | |||||||
\(998\) | 382.637 | − | 124.326i | 0.383404 | − | 0.124576i | ||||
\(999\) | 0 | 0 |
(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 | 99.3.k.c.19.4 | 16 | ||
3.2 | odd | 2 | 33.3.g.a.19.1 | yes | 16 | ||
11.2 | odd | 10 | 1089.3.c.m.604.10 | 16 | |||
11.7 | odd | 10 | inner | 99.3.k.c.73.4 | 16 | ||
11.9 | even | 5 | 1089.3.c.m.604.7 | 16 | |||
12.11 | even | 2 | 528.3.bf.b.481.3 | 16 | |||
33.2 | even | 10 | 363.3.c.e.241.7 | 16 | |||
33.5 | odd | 10 | 363.3.g.a.112.4 | 16 | |||
33.8 | even | 10 | 363.3.g.a.94.4 | 16 | |||
33.14 | odd | 10 | 363.3.g.g.94.1 | 16 | |||
33.17 | even | 10 | 363.3.g.g.112.1 | 16 | |||
33.20 | odd | 10 | 363.3.c.e.241.10 | 16 | |||
33.26 | odd | 10 | 363.3.g.f.40.4 | 16 | |||
33.29 | even | 10 | 33.3.g.a.7.1 | ✓ | 16 | ||
33.32 | even | 2 | 363.3.g.f.118.4 | 16 | |||
132.95 | odd | 10 | 528.3.bf.b.337.3 | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
33.3.g.a.7.1 | ✓ | 16 | 33.29 | even | 10 | ||
33.3.g.a.19.1 | yes | 16 | 3.2 | odd | 2 | ||
99.3.k.c.19.4 | 16 | 1.1 | even | 1 | trivial | ||
99.3.k.c.73.4 | 16 | 11.7 | odd | 10 | inner | ||
363.3.c.e.241.7 | 16 | 33.2 | even | 10 | |||
363.3.c.e.241.10 | 16 | 33.20 | odd | 10 | |||
363.3.g.a.94.4 | 16 | 33.8 | even | 10 | |||
363.3.g.a.112.4 | 16 | 33.5 | odd | 10 | |||
363.3.g.f.40.4 | 16 | 33.26 | odd | 10 | |||
363.3.g.f.118.4 | 16 | 33.32 | even | 2 | |||
363.3.g.g.94.1 | 16 | 33.14 | odd | 10 | |||
363.3.g.g.112.1 | 16 | 33.17 | even | 10 | |||
528.3.bf.b.337.3 | 16 | 132.95 | odd | 10 | |||
528.3.bf.b.481.3 | 16 | 12.11 | even | 2 | |||
1089.3.c.m.604.7 | 16 | 11.9 | even | 5 | |||
1089.3.c.m.604.10 | 16 | 11.2 | odd | 10 |