Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [22,4,Mod(3,22)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(22, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([8]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("22.3");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 22 = 2 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 22.c (of order \(5\), 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: | \(1.29804202013\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Coefficient field: | \(\Q(\zeta_{10})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{4} - x^{3} + x^{2} - x + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 9.1 | ||
Root | \(-0.309017 + 0.951057i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 22.9 |
Dual form | 22.4.c.a.5.1 |
$q$-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 \(\left(\mathbb{Z}/22\mathbb{Z}\right)^\times\).
\(n\) | \(13\) |
\(\chi(n)\) | \(e\left(\frac{3}{5}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.618034 | − | 1.90211i | 0.218508 | − | 0.672499i | ||||
\(3\) | 2.54508 | − | 1.84911i | 0.489802 | − | 0.355862i | −0.315306 | − | 0.948990i | \(-0.602107\pi\) |
0.805108 | + | 0.593128i | \(0.202107\pi\) | |||||||
\(4\) | −3.23607 | − | 2.35114i | −0.404508 | − | 0.293893i | ||||
\(5\) | 0.190983 | + | 0.587785i | 0.0170820 | + | 0.0525731i | 0.959234 | − | 0.282612i | \(-0.0912010\pi\) |
−0.942152 | + | 0.335185i | \(0.891201\pi\) | |||||||
\(6\) | −1.94427 | − | 5.98385i | −0.132291 | − | 0.407150i | ||||
\(7\) | 7.92705 | + | 5.75934i | 0.428021 | + | 0.310975i | 0.780857 | − | 0.624710i | \(-0.214783\pi\) |
−0.352836 | + | 0.935685i | \(0.614783\pi\) | |||||||
\(8\) | −6.47214 | + | 4.70228i | −0.286031 | + | 0.207813i | ||||
\(9\) | −5.28522 | + | 16.2662i | −0.195749 | + | 0.602453i | ||||
\(10\) | 1.23607 | 0.0390879 | ||||||||
\(11\) | −13.5967 | + | 33.8545i | −0.372689 | + | 0.927957i | ||||
\(12\) | −12.5836 | −0.302714 | ||||||||
\(13\) | 4.30244 | − | 13.2415i | 0.0917909 | − | 0.282503i | −0.894613 | − | 0.446841i | \(-0.852549\pi\) |
0.986404 | + | 0.164338i | \(0.0525488\pi\) | |||||||
\(14\) | 15.8541 | − | 11.5187i | 0.302656 | − | 0.219893i | ||||
\(15\) | 1.57295 | + | 1.14281i | 0.0270756 | + | 0.0196716i | ||||
\(16\) | 4.94427 | + | 15.2169i | 0.0772542 | + | 0.237764i | ||||
\(17\) | −37.2943 | − | 114.780i | −0.532070 | − | 1.63754i | −0.749895 | − | 0.661557i | \(-0.769896\pi\) |
0.217825 | − | 0.975988i | \(-0.430104\pi\) | |||||||
\(18\) | 27.6738 | + | 20.1062i | 0.362376 | + | 0.263282i | ||||
\(19\) | 37.6697 | − | 27.3686i | 0.454843 | − | 0.330463i | −0.336662 | − | 0.941626i | \(-0.609298\pi\) |
0.791505 | + | 0.611163i | \(0.209298\pi\) | |||||||
\(20\) | 0.763932 | − | 2.35114i | 0.00854102 | − | 0.0262866i | ||||
\(21\) | 30.8247 | 0.320309 | ||||||||
\(22\) | 55.9919 | + | 46.7858i | 0.542614 | + | 0.453398i | ||||
\(23\) | −82.8328 | −0.750949 | −0.375475 | − | 0.926833i | \(-0.622520\pi\) | ||||
−0.375475 | + | 0.926833i | \(0.622520\pi\) | |||||||
\(24\) | −7.77709 | + | 23.9354i | −0.0661455 | + | 0.203575i | ||||
\(25\) | 100.818 | − | 73.2486i | 0.806545 | − | 0.585989i | ||||
\(26\) | −22.5279 | − | 16.3675i | −0.169926 | − | 0.123459i | ||||
\(27\) | 42.8744 | + | 131.954i | 0.305600 | + | 0.940539i | ||||
\(28\) | −12.1115 | − | 37.2752i | −0.0817446 | − | 0.251584i | ||||
\(29\) | −166.065 | − | 120.653i | −1.06336 | − | 0.772577i | −0.0886536 | − | 0.996063i | \(-0.528256\pi\) |
−0.974707 | + | 0.223486i | \(0.928256\pi\) | |||||||
\(30\) | 3.14590 | − | 2.28563i | 0.0191453 | − | 0.0139099i | ||||
\(31\) | −89.7320 | + | 276.167i | −0.519882 | + | 1.60003i | 0.254338 | + | 0.967115i | \(0.418143\pi\) |
−0.774220 | + | 0.632917i | \(0.781857\pi\) | |||||||
\(32\) | 32.0000 | 0.176777 | ||||||||
\(33\) | 27.9959 | + | 111.305i | 0.147681 | + | 0.587140i | ||||
\(34\) | −241.374 | −1.21751 | ||||||||
\(35\) | −1.87132 | + | 5.75934i | −0.00903747 | + | 0.0278145i | ||||
\(36\) | 55.3475 | − | 40.2123i | 0.256239 | − | 0.186168i | ||||
\(37\) | 38.9746 | + | 28.3167i | 0.173173 | + | 0.125817i | 0.670995 | − | 0.741461i | \(-0.265867\pi\) |
−0.497823 | + | 0.867279i | \(0.665867\pi\) | |||||||
\(38\) | −28.7771 | − | 88.5668i | −0.122849 | − | 0.378090i | ||||
\(39\) | −13.5350 | − | 41.6566i | −0.0555728 | − | 0.171036i | ||||
\(40\) | −4.00000 | − | 2.90617i | −0.0158114 | − | 0.0114876i | ||||
\(41\) | 136.503 | − | 99.1749i | 0.519954 | − | 0.377769i | −0.296633 | − | 0.954992i | \(-0.595864\pi\) |
0.816587 | + | 0.577223i | \(0.195864\pi\) | |||||||
\(42\) | 19.0507 | − | 58.6320i | 0.0699902 | − | 0.215408i | ||||
\(43\) | 366.026 | 1.29810 | 0.649052 | − | 0.760744i | \(-0.275166\pi\) | ||||
0.649052 | + | 0.760744i | \(0.275166\pi\) | |||||||
\(44\) | 123.597 | − | 77.5877i | 0.423475 | − | 0.265836i | ||||
\(45\) | −10.5704 | −0.0350166 | ||||||||
\(46\) | −51.1935 | + | 157.557i | −0.164088 | + | 0.505012i | ||||
\(47\) | 179.585 | − | 130.476i | 0.557343 | − | 0.404933i | −0.273143 | − | 0.961973i | \(-0.588063\pi\) |
0.830485 | + | 0.557040i | \(0.188063\pi\) | |||||||
\(48\) | 40.7214 | + | 29.5858i | 0.122450 | + | 0.0889655i | ||||
\(49\) | −76.3247 | − | 234.903i | −0.222521 | − | 0.684849i | ||||
\(50\) | −77.0182 | − | 237.038i | −0.217840 | − | 0.670444i | ||||
\(51\) | −307.158 | − | 223.164i | −0.843349 | − | 0.612729i | ||||
\(52\) | −45.0557 | + | 32.7349i | −0.120156 | + | 0.0872984i | ||||
\(53\) | −173.612 | + | 534.324i | −0.449953 | + | 1.38481i | 0.427007 | + | 0.904248i | \(0.359568\pi\) |
−0.876960 | + | 0.480564i | \(0.840432\pi\) | |||||||
\(54\) | 277.489 | 0.699287 | ||||||||
\(55\) | −22.4959 | − | 1.52633i | −0.0551518 | − | 0.00374201i | ||||
\(56\) | −78.3870 | −0.187052 | ||||||||
\(57\) | 45.2649 | − | 139.311i | 0.105184 | − | 0.323723i | ||||
\(58\) | −332.130 | + | 241.306i | −0.751910 | + | 0.546294i | ||||
\(59\) | −332.529 | − | 241.596i | −0.733755 | − | 0.533104i | 0.156994 | − | 0.987600i | \(-0.449820\pi\) |
−0.890749 | + | 0.454495i | \(0.849820\pi\) | |||||||
\(60\) | −2.40325 | − | 7.39645i | −0.00517098 | − | 0.0159146i | ||||
\(61\) | 93.9317 | + | 289.092i | 0.197159 | + | 0.606794i | 0.999945 | + | 0.0105259i | \(0.00335056\pi\) |
−0.802785 | + | 0.596268i | \(0.796649\pi\) | |||||||
\(62\) | 469.843 | + | 341.361i | 0.962421 | + | 0.699240i | ||||
\(63\) | −135.579 | + | 98.5039i | −0.271132 | + | 0.196989i | ||||
\(64\) | 19.7771 | − | 60.8676i | 0.0386271 | − | 0.118882i | ||||
\(65\) | 8.60488 | 0.0164201 | ||||||||
\(66\) | 229.016 | + | 15.5386i | 0.427121 | + | 0.0289798i | ||||
\(67\) | 107.692 | 0.196368 | 0.0981841 | − | 0.995168i | \(-0.468697\pi\) | ||||
0.0981841 | + | 0.995168i | \(0.468697\pi\) | |||||||
\(68\) | −149.177 | + | 459.120i | −0.266035 | + | 0.818772i | ||||
\(69\) | −210.817 | + | 153.167i | −0.367816 | + | 0.267234i | ||||
\(70\) | 9.79837 | + | 7.11894i | 0.0167304 | + | 0.0121554i | ||||
\(71\) | 21.4603 | + | 66.0480i | 0.0358714 | + | 0.110401i | 0.967389 | − | 0.253296i | \(-0.0815145\pi\) |
−0.931518 | + | 0.363696i | \(0.881515\pi\) | |||||||
\(72\) | −42.2817 | − | 130.130i | −0.0692077 | − | 0.212999i | ||||
\(73\) | −66.7599 | − | 48.5039i | −0.107036 | − | 0.0777664i | 0.532980 | − | 0.846128i | \(-0.321072\pi\) |
−0.640016 | + | 0.768362i | \(0.721072\pi\) | |||||||
\(74\) | 77.9493 | − | 56.6335i | 0.122452 | − | 0.0889663i | ||||
\(75\) | 121.146 | − | 372.848i | 0.186516 | − | 0.574037i | ||||
\(76\) | −186.249 | −0.281109 | ||||||||
\(77\) | −302.762 | + | 190.058i | −0.448090 | + | 0.281288i | ||||
\(78\) | −87.6006 | −0.127164 | ||||||||
\(79\) | 391.180 | − | 1203.93i | 0.557103 | − | 1.71459i | −0.133220 | − | 0.991087i | \(-0.542532\pi\) |
0.690323 | − | 0.723501i | \(-0.257468\pi\) | |||||||
\(80\) | −8.00000 | + | 5.81234i | −0.0111803 | + | 0.00812299i | ||||
\(81\) | −20.4791 | − | 14.8789i | −0.0280920 | − | 0.0204100i | ||||
\(82\) | −104.279 | − | 320.937i | −0.140435 | − | 0.432214i | ||||
\(83\) | 256.968 | + | 790.866i | 0.339830 | + | 1.04589i | 0.964294 | + | 0.264836i | \(0.0853178\pi\) |
−0.624463 | + | 0.781054i | \(0.714682\pi\) | |||||||
\(84\) | −99.7508 | − | 72.4732i | −0.129568 | − | 0.0941366i | ||||
\(85\) | 60.3435 | − | 43.8421i | 0.0770020 | − | 0.0559452i | ||||
\(86\) | 226.217 | − | 696.223i | 0.283646 | − | 0.872973i | ||||
\(87\) | −645.750 | −0.795767 | ||||||||
\(88\) | −71.1935 | − | 283.047i | −0.0862415 | − | 0.342874i | ||||
\(89\) | 1482.95 | 1.76621 | 0.883104 | − | 0.469176i | \(-0.155449\pi\) | ||||
0.883104 | + | 0.469176i | \(0.155449\pi\) | |||||||
\(90\) | −6.53289 | + | 20.1062i | −0.00765141 | + | 0.0235486i | ||||
\(91\) | 110.368 | − | 80.1872i | 0.127140 | − | 0.0923726i | ||||
\(92\) | 268.053 | + | 194.752i | 0.303765 | + | 0.220698i | ||||
\(93\) | 282.288 | + | 868.792i | 0.314751 | + | 0.968705i | ||||
\(94\) | −137.190 | − | 422.229i | −0.150533 | − | 0.463293i | ||||
\(95\) | 23.2812 | + | 16.9147i | 0.0251431 | + | 0.0182675i | ||||
\(96\) | 81.4427 | − | 59.1716i | 0.0865855 | − | 0.0629081i | ||||
\(97\) | 119.587 | − | 368.052i | 0.125178 | − | 0.385258i | −0.868756 | − | 0.495241i | \(-0.835080\pi\) |
0.993933 | + | 0.109983i | \(0.0350797\pi\) | |||||||
\(98\) | −493.984 | −0.509183 | ||||||||
\(99\) | −478.824 | − | 400.096i | −0.486097 | − | 0.406174i | ||||
\(100\) | −498.472 | −0.498472 | ||||||||
\(101\) | −336.914 | + | 1036.91i | −0.331922 | + | 1.02155i | 0.636296 | + | 0.771445i | \(0.280466\pi\) |
−0.968218 | + | 0.250107i | \(0.919534\pi\) | |||||||
\(102\) | −614.317 | + | 446.327i | −0.596338 | + | 0.433265i | ||||
\(103\) | 707.305 | + | 513.887i | 0.676629 | + | 0.491600i | 0.872238 | − | 0.489082i | \(-0.162668\pi\) |
−0.195609 | + | 0.980682i | \(0.562668\pi\) | |||||||
\(104\) | 34.4195 | + | 105.932i | 0.0324530 | + | 0.0998800i | ||||
\(105\) | 5.88699 | + | 18.1183i | 0.00547154 | + | 0.0168397i | ||||
\(106\) | 909.046 | + | 660.461i | 0.832966 | + | 0.605185i | ||||
\(107\) | −699.953 | + | 508.546i | −0.632402 | + | 0.459467i | −0.857232 | − | 0.514931i | \(-0.827818\pi\) |
0.224829 | + | 0.974398i | \(0.427818\pi\) | |||||||
\(108\) | 171.498 | − | 527.816i | 0.152800 | − | 0.470269i | ||||
\(109\) | −1852.09 | −1.62750 | −0.813751 | − | 0.581214i | \(-0.802578\pi\) | ||||
−0.813751 | + | 0.581214i | \(0.802578\pi\) | |||||||
\(110\) | −16.8065 | + | 41.8465i | −0.0145676 | + | 0.0362719i | ||||
\(111\) | 151.555 | 0.129594 | ||||||||
\(112\) | −48.4458 | + | 149.101i | −0.0408723 | + | 0.125792i | ||||
\(113\) | 255.807 | − | 185.855i | 0.212959 | − | 0.154724i | −0.476193 | − | 0.879341i | \(-0.657983\pi\) |
0.689151 | + | 0.724617i | \(0.257983\pi\) | |||||||
\(114\) | −237.010 | − | 172.198i | −0.194720 | − | 0.141472i | ||||
\(115\) | −15.8197 | − | 48.6879i | −0.0128277 | − | 0.0394797i | ||||
\(116\) | 253.724 | + | 780.884i | 0.203084 | + | 0.625028i | ||||
\(117\) | 192.651 | + | 139.969i | 0.152227 | + | 0.110599i | ||||
\(118\) | −665.058 | + | 483.193i | −0.518843 | + | 0.376962i | ||||
\(119\) | 365.424 | − | 1124.66i | 0.281499 | − | 0.866363i | ||||
\(120\) | −15.5542 | −0.0118325 | ||||||||
\(121\) | −961.257 | − | 920.623i | −0.722207 | − | 0.691677i | ||||
\(122\) | 607.939 | 0.451149 | ||||||||
\(123\) | 164.025 | − | 504.817i | 0.120241 | − | 0.370064i | ||||
\(124\) | 939.686 | − | 682.722i | 0.680534 | − | 0.494437i | ||||
\(125\) | 124.809 | + | 90.6791i | 0.0893061 | + | 0.0648847i | ||||
\(126\) | 103.573 | + | 318.765i | 0.0732304 | + | 0.225380i | ||||
\(127\) | 254.435 | + | 783.070i | 0.177775 | + | 0.547135i | 0.999749 | − | 0.0223893i | \(-0.00712732\pi\) |
−0.821974 | + | 0.569525i | \(0.807127\pi\) | |||||||
\(128\) | −103.554 | − | 75.2365i | −0.0715077 | − | 0.0519534i | ||||
\(129\) | 931.568 | − | 676.824i | 0.635814 | − | 0.461946i | ||||
\(130\) | 5.31811 | − | 16.3675i | 0.00358791 | − | 0.0110425i | ||||
\(131\) | −313.483 | −0.209077 | −0.104539 | − | 0.994521i | \(-0.533337\pi\) | ||||
−0.104539 | + | 0.994521i | \(0.533337\pi\) | |||||||
\(132\) | 171.096 | − | 426.011i | 0.112818 | − | 0.280906i | ||||
\(133\) | 456.235 | 0.297448 | ||||||||
\(134\) | 66.5573 | − | 204.842i | 0.0429080 | − | 0.132057i | ||||
\(135\) | −69.3723 | + | 50.4019i | −0.0442268 | + | 0.0321326i | ||||
\(136\) | 781.102 | + | 567.504i | 0.492492 | + | 0.357817i | ||||
\(137\) | −579.760 | − | 1784.32i | −0.361549 | − | 1.11273i | −0.952114 | − | 0.305744i | \(-0.901095\pi\) |
0.590564 | − | 0.806990i | \(-0.298905\pi\) | |||||||
\(138\) | 161.050 | + | 495.659i | 0.0993438 | + | 0.305749i | ||||
\(139\) | 688.754 | + | 500.409i | 0.420283 | + | 0.305353i | 0.777752 | − | 0.628572i | \(-0.216360\pi\) |
−0.357469 | + | 0.933925i | \(0.616360\pi\) | |||||||
\(140\) | 19.5967 | − | 14.2379i | 0.0118302 | − | 0.00859514i | ||||
\(141\) | 215.793 | − | 664.144i | 0.128887 | − | 0.396674i | ||||
\(142\) | 138.894 | 0.0820826 | ||||||||
\(143\) | 389.787 | + | 325.699i | 0.227941 | + | 0.190464i | ||||
\(144\) | −273.653 | −0.158364 | ||||||||
\(145\) | 39.2026 | − | 120.653i | 0.0224524 | − | 0.0691014i | ||||
\(146\) | −133.520 | + | 97.0078i | −0.0756861 | + | 0.0549892i | ||||
\(147\) | −628.615 | − | 456.716i | −0.352703 | − | 0.256254i | ||||
\(148\) | −59.5480 | − | 183.270i | −0.0330731 | − | 0.101788i | ||||
\(149\) | −267.551 | − | 823.438i | −0.147105 | − | 0.452743i | 0.850171 | − | 0.526507i | \(-0.176499\pi\) |
−0.997276 | + | 0.0737645i | \(0.976499\pi\) | |||||||
\(150\) | −634.327 | − | 460.866i | −0.345284 | − | 0.250863i | ||||
\(151\) | −1300.48 | + | 944.851i | −0.700869 | + | 0.509211i | −0.880215 | − | 0.474575i | \(-0.842602\pi\) |
0.179346 | + | 0.983786i | \(0.442602\pi\) | |||||||
\(152\) | −115.108 | + | 354.267i | −0.0614245 | + | 0.189045i | ||||
\(153\) | 2064.15 | 1.09070 | ||||||||
\(154\) | 174.395 | + | 693.350i | 0.0912543 | + | 0.362803i | ||||
\(155\) | −179.464 | −0.0929993 | ||||||||
\(156\) | −54.1401 | + | 166.626i | −0.0277864 | + | 0.0855178i | ||||
\(157\) | −2393.91 | + | 1739.28i | −1.21691 | + | 0.884138i | −0.995840 | − | 0.0911192i | \(-0.970956\pi\) |
−0.221072 | + | 0.975257i | \(0.570956\pi\) | |||||||
\(158\) | −2048.24 | − | 1488.14i | −1.03133 | − | 0.749302i | ||||
\(159\) | 546.167 | + | 1680.93i | 0.272414 | + | 0.838405i | ||||
\(160\) | 6.11146 | + | 18.8091i | 0.00301971 | + | 0.00929370i | ||||
\(161\) | −656.620 | − | 477.062i | −0.321422 | − | 0.233527i | ||||
\(162\) | −40.9582 | + | 29.7578i | −0.0198641 | + | 0.0144321i | ||||
\(163\) | −750.919 | + | 2311.09i | −0.360838 | + | 1.11054i | 0.591709 | + | 0.806152i | \(0.298453\pi\) |
−0.952547 | + | 0.304393i | \(0.901547\pi\) | |||||||
\(164\) | −674.906 | −0.321349 | ||||||||
\(165\) | −60.0764 | + | 37.7129i | −0.0283451 | + | 0.0177936i | ||||
\(166\) | 1663.13 | 0.777615 | ||||||||
\(167\) | −348.515 | + | 1072.62i | −0.161490 | + | 0.497016i | −0.998761 | − | 0.0497734i | \(-0.984150\pi\) |
0.837270 | + | 0.546789i | \(0.184150\pi\) | |||||||
\(168\) | −199.502 | + | 144.946i | −0.0916183 | + | 0.0665646i | ||||
\(169\) | 1620.58 | + | 1177.42i | 0.737634 | + | 0.535923i | ||||
\(170\) | −46.0983 | − | 141.876i | −0.0207975 | − | 0.0640082i | ||||
\(171\) | 246.092 | + | 757.393i | 0.110053 | + | 0.338709i | ||||
\(172\) | −1184.49 | − | 860.579i | −0.525094 | − | 0.381503i | ||||
\(173\) | 2157.38 | − | 1567.43i | 0.948105 | − | 0.688839i | −0.00225265 | − | 0.999997i | \(-0.500717\pi\) |
0.950358 | + | 0.311159i | \(0.100717\pi\) | |||||||
\(174\) | −399.096 | + | 1228.29i | −0.173881 | + | 0.535152i | ||||
\(175\) | 1221.05 | 0.527446 | ||||||||
\(176\) | −582.387 | − | 39.5145i | −0.249427 | − | 0.0169234i | ||||
\(177\) | −1293.05 | −0.549106 | ||||||||
\(178\) | 916.515 | − | 2820.74i | 0.385931 | − | 1.18777i | ||||
\(179\) | 237.941 | − | 172.875i | 0.0993552 | − | 0.0721858i | −0.536998 | − | 0.843583i | \(-0.680442\pi\) |
0.636354 | + | 0.771397i | \(0.280442\pi\) | |||||||
\(180\) | 34.2067 | + | 24.8526i | 0.0141645 | + | 0.0102911i | ||||
\(181\) | −382.326 | − | 1176.68i | −0.157006 | − | 0.483215i | 0.841353 | − | 0.540487i | \(-0.181760\pi\) |
−0.998359 | + | 0.0572719i | \(0.981760\pi\) | |||||||
\(182\) | −84.3138 | − | 259.491i | −0.0343393 | − | 0.105686i | ||||
\(183\) | 773.628 | + | 562.074i | 0.312504 | + | 0.227047i | ||||
\(184\) | 536.105 | − | 389.503i | 0.214795 | − | 0.156057i | ||||
\(185\) | −9.20067 | + | 28.3167i | −0.00365647 | + | 0.0112534i | ||||
\(186\) | 1827.00 | 0.720228 | ||||||||
\(187\) | 4392.91 | + | 298.055i | 1.71787 | + | 0.116556i | ||||
\(188\) | −887.915 | −0.344457 | ||||||||
\(189\) | −420.100 | + | 1292.93i | −0.161681 | + | 0.497604i | ||||
\(190\) | 46.5623 | − | 33.8295i | 0.0177789 | − | 0.0129171i | ||||
\(191\) | −3086.91 | − | 2242.77i | −1.16943 | − | 0.849639i | −0.178488 | − | 0.983942i | \(-0.557120\pi\) |
−0.990940 | + | 0.134303i | \(0.957120\pi\) | |||||||
\(192\) | −62.2167 | − | 191.483i | −0.0233860 | − | 0.0719746i | ||||
\(193\) | −1454.46 | − | 4476.38i | −0.542459 | − | 1.66952i | −0.726956 | − | 0.686684i | \(-0.759066\pi\) |
0.184497 | − | 0.982833i | \(-0.440934\pi\) | |||||||
\(194\) | −626.167 | − | 454.937i | −0.231733 | − | 0.168364i | ||||
\(195\) | 21.9001 | − | 15.9114i | 0.00804257 | − | 0.00584327i | ||||
\(196\) | −305.299 | + | 939.613i | −0.111260 | + | 0.342425i | ||||
\(197\) | 2794.25 | 1.01057 | 0.505284 | − | 0.862953i | \(-0.331388\pi\) | ||||
0.505284 | + | 0.862953i | \(0.331388\pi\) | |||||||
\(198\) | −1056.96 | + | 663.503i | −0.379367 | + | 0.238147i | ||||
\(199\) | −4188.70 | −1.49211 | −0.746053 | − | 0.665886i | \(-0.768054\pi\) | ||||
−0.746053 | + | 0.665886i | \(0.768054\pi\) | |||||||
\(200\) | −308.073 | + | 948.150i | −0.108920 | + | 0.335222i | ||||
\(201\) | 274.085 | − | 199.135i | 0.0961815 | − | 0.0698799i | ||||
\(202\) | 1764.10 | + | 1281.70i | 0.614464 | + | 0.446434i | ||||
\(203\) | −621.522 | − | 1912.85i | −0.214888 | − | 0.661357i | ||||
\(204\) | 469.296 | + | 1444.35i | 0.161065 | + | 0.495708i | ||||
\(205\) | 84.3632 | + | 61.2934i | 0.0287423 | + | 0.0208825i | ||||
\(206\) | 1414.61 | − | 1027.77i | 0.478449 | − | 0.347614i | ||||
\(207\) | 437.790 | − | 1347.38i | 0.146997 | − | 0.452412i | ||||
\(208\) | 222.768 | 0.0742604 | ||||||||
\(209\) | 414.367 | + | 1647.41i | 0.137140 | + | 0.545234i | ||||
\(210\) | 38.1014 | 0.0125202 | ||||||||
\(211\) | 259.707 | − | 799.296i | 0.0847344 | − | 0.260786i | −0.899708 | − | 0.436492i | \(-0.856221\pi\) |
0.984443 | + | 0.175706i | \(0.0562208\pi\) | |||||||
\(212\) | 1818.09 | − | 1320.92i | 0.588996 | − | 0.427931i | ||||
\(213\) | 176.749 | + | 128.415i | 0.0568573 | + | 0.0413093i | ||||
\(214\) | 534.717 | + | 1645.69i | 0.170806 | + | 0.525687i | ||||
\(215\) | 69.9048 | + | 215.145i | 0.0221743 | + | 0.0682454i | ||||
\(216\) | −897.974 | − | 652.416i | −0.282867 | − | 0.205515i | ||||
\(217\) | −2301.85 | + | 1672.39i | −0.720090 | + | 0.523176i | ||||
\(218\) | −1144.65 | + | 3522.88i | −0.355622 | + | 1.09449i | ||||
\(219\) | −259.599 | −0.0801007 | ||||||||
\(220\) | 69.2098 | + | 57.8304i | 0.0212096 | + | 0.0177224i | ||||
\(221\) | −1680.32 | −0.511451 | ||||||||
\(222\) | 93.6659 | − | 288.274i | 0.0283173 | − | 0.0871517i | ||||
\(223\) | 4212.12 | − | 3060.28i | 1.26486 | − | 0.918977i | 0.265877 | − | 0.964007i | \(-0.414338\pi\) |
0.998986 | + | 0.0450300i | \(0.0143383\pi\) | |||||||
\(224\) | 253.666 | + | 184.299i | 0.0756641 | + | 0.0549732i | ||||
\(225\) | 658.634 | + | 2027.07i | 0.195151 | + | 0.600612i | ||||
\(226\) | −195.420 | − | 601.439i | −0.0575182 | − | 0.177023i | ||||
\(227\) | −741.975 | − | 539.077i | −0.216946 | − | 0.157620i | 0.474005 | − | 0.880522i | \(-0.342808\pi\) |
−0.690951 | + | 0.722902i | \(0.742808\pi\) | |||||||
\(228\) | −474.020 | + | 344.396i | −0.137687 | + | 0.100036i | ||||
\(229\) | −1563.39 | + | 4811.63i | −0.451144 | + | 1.38848i | 0.424458 | + | 0.905447i | \(0.360464\pi\) |
−0.875603 | + | 0.483032i | \(0.839536\pi\) | |||||||
\(230\) | −102.387 | −0.0293530 | ||||||||
\(231\) | −419.115 | + | 1043.55i | −0.119376 | + | 0.297233i | ||||
\(232\) | 1642.14 | 0.464706 | ||||||||
\(233\) | −1528.11 | + | 4703.03i | −0.429655 | + | 1.32234i | 0.468811 | + | 0.883299i | \(0.344683\pi\) |
−0.898466 | + | 0.439044i | \(0.855317\pi\) | |||||||
\(234\) | 385.301 | − | 279.938i | 0.107641 | − | 0.0782056i | ||||
\(235\) | 110.989 | + | 80.6385i | 0.0308091 | + | 0.0223841i | ||||
\(236\) | 508.059 | + | 1563.64i | 0.140135 | + | 0.431291i | ||||
\(237\) | −1230.61 | − | 3787.43i | −0.337286 | − | 1.03806i | ||||
\(238\) | −1913.38 | − | 1390.15i | −0.521118 | − | 0.378615i | ||||
\(239\) | −237.104 | + | 172.266i | −0.0641716 | + | 0.0466234i | −0.619409 | − | 0.785069i | \(-0.712628\pi\) |
0.555237 | + | 0.831692i | \(0.312628\pi\) | |||||||
\(240\) | −9.61301 | + | 29.5858i | −0.00258549 | + | 0.00795731i | ||||
\(241\) | −1254.72 | −0.335369 | −0.167684 | − | 0.985841i | \(-0.553629\pi\) | ||||
−0.167684 | + | 0.985841i | \(0.553629\pi\) | |||||||
\(242\) | −2345.22 | + | 1259.44i | −0.622960 | + | 0.334546i | ||||
\(243\) | −3825.74 | −1.00996 | ||||||||
\(244\) | 375.727 | − | 1156.37i | 0.0985797 | − | 0.303397i | ||||
\(245\) | 123.496 | − | 89.7250i | 0.0322035 | − | 0.0233972i | ||||
\(246\) | −858.846 | − | 623.988i | −0.222594 | − | 0.161724i | ||||
\(247\) | −200.331 | − | 616.557i | −0.0516064 | − | 0.158828i | ||||
\(248\) | −717.856 | − | 2209.33i | −0.183806 | − | 0.565697i | ||||
\(249\) | 2116.41 | + | 1537.66i | 0.538642 | + | 0.391346i | ||||
\(250\) | 249.618 | − | 181.358i | 0.0631489 | − | 0.0458804i | ||||
\(251\) | 1559.79 | − | 4800.55i | 0.392244 | − | 1.20720i | −0.538842 | − | 0.842407i | \(-0.681138\pi\) |
0.931087 | − | 0.364798i | \(-0.118862\pi\) | |||||||
\(252\) | 670.339 | 0.167569 | ||||||||
\(253\) | 1126.26 | − | 2804.27i | 0.279870 | − | 0.696848i | ||||
\(254\) | 1646.74 | 0.406793 | ||||||||
\(255\) | 72.5103 | − | 223.164i | 0.0178069 | − | 0.0548041i | ||||
\(256\) | −207.108 | + | 150.473i | −0.0505636 | + | 0.0367366i | ||||
\(257\) | 4315.54 | + | 3135.43i | 1.04746 | + | 0.761021i | 0.971727 | − | 0.236107i | \(-0.0758716\pi\) |
0.0757290 | + | 0.997128i | \(0.475872\pi\) | |||||||
\(258\) | −711.655 | − | 2190.25i | −0.171727 | − | 0.528523i | ||||
\(259\) | 145.868 | + | 448.936i | 0.0349954 | + | 0.107705i | ||||
\(260\) | −27.8460 | − | 20.2313i | −0.00664205 | − | 0.00482573i | ||||
\(261\) | 2840.26 | − | 2063.57i | 0.673593 | − | 0.489394i | ||||
\(262\) | −193.743 | + | 596.280i | −0.0456851 | + | 0.140604i | ||||
\(263\) | 724.100 | 0.169772 | 0.0848858 | − | 0.996391i | \(-0.472947\pi\) | ||||
0.0848858 | + | 0.996391i | \(0.472947\pi\) | |||||||
\(264\) | −704.579 | − | 588.733i | −0.164257 | − | 0.137250i | ||||
\(265\) | −347.225 | −0.0804900 | ||||||||
\(266\) | 281.969 | − | 867.810i | 0.0649948 | − | 0.200033i | ||||
\(267\) | 3774.24 | − | 2742.14i | 0.865092 | − | 0.628526i | ||||
\(268\) | −348.498 | − | 253.199i | −0.0794326 | − | 0.0577111i | ||||
\(269\) | 1248.11 | + | 3841.28i | 0.282894 | + | 0.870658i | 0.987022 | + | 0.160585i | \(0.0513380\pi\) |
−0.704128 | + | 0.710073i | \(0.748662\pi\) | |||||||
\(270\) | 52.9957 | + | 163.104i | 0.0119452 | + | 0.0367637i | ||||
\(271\) | 1959.43 | + | 1423.61i | 0.439215 | + | 0.319108i | 0.785323 | − | 0.619087i | \(-0.212497\pi\) |
−0.346108 | + | 0.938195i | \(0.612497\pi\) | |||||||
\(272\) | 1562.20 | − | 1135.01i | 0.348245 | − | 0.253015i | ||||
\(273\) | 132.621 | − | 408.166i | 0.0294015 | − | 0.0904885i | ||||
\(274\) | −3752.29 | −0.827314 | ||||||||
\(275\) | 1109.00 | + | 4409.09i | 0.243182 | + | 0.966830i | ||||
\(276\) | 1042.33 | 0.227323 | ||||||||
\(277\) | 1355.90 | − | 4173.02i | 0.294108 | − | 0.905171i | −0.689412 | − | 0.724370i | \(-0.742131\pi\) |
0.983520 | − | 0.180801i | \(-0.0578692\pi\) | |||||||
\(278\) | 1377.51 | − | 1000.82i | 0.297185 | − | 0.215917i | ||||
\(279\) | −4017.94 | − | 2919.20i | −0.862178 | − | 0.626409i | ||||
\(280\) | −14.9706 | − | 46.0747i | −0.00319523 | − | 0.00983390i | ||||
\(281\) | 13.4137 | + | 41.2832i | 0.00284767 | + | 0.00876423i | 0.952470 | − | 0.304632i | \(-0.0985333\pi\) |
−0.949623 | + | 0.313396i | \(0.898533\pi\) | |||||||
\(282\) | −1129.91 | − | 820.927i | −0.238600 | − | 0.173353i | ||||
\(283\) | −1434.70 | + | 1042.37i | −0.301356 | + | 0.218948i | −0.728179 | − | 0.685387i | \(-0.759633\pi\) |
0.426822 | + | 0.904335i | \(0.359633\pi\) | |||||||
\(284\) | 85.8412 | − | 264.192i | 0.0179357 | − | 0.0552004i | ||||
\(285\) | 90.5298 | 0.0188159 | ||||||||
\(286\) | 860.418 | − | 540.126i | 0.177894 | − | 0.111672i | ||||
\(287\) | 1653.24 | 0.340028 | ||||||||
\(288\) | −169.127 | + | 520.519i | −0.0346038 | + | 0.106500i | ||||
\(289\) | −7808.90 | + | 5673.50i | −1.58944 | + | 1.15479i | ||||
\(290\) | −205.267 | − | 149.135i | −0.0415645 | − | 0.0301984i | ||||
\(291\) | −376.209 | − | 1157.85i | −0.0757862 | − | 0.233246i | ||||
\(292\) | 102.000 | + | 313.924i | 0.0204421 | + | 0.0629144i | ||||
\(293\) | 1702.90 | + | 1237.23i | 0.339537 | + | 0.246688i | 0.744467 | − | 0.667660i | \(-0.232704\pi\) |
−0.404929 | + | 0.914348i | \(0.632704\pi\) | |||||||
\(294\) | −1257.23 | + | 913.431i | −0.249399 | + | 0.181199i | ||||
\(295\) | 78.4994 | − | 241.596i | 0.0154929 | − | 0.0476823i | ||||
\(296\) | −385.403 | −0.0756793 | ||||||||
\(297\) | −5050.19 | − | 342.651i | −0.986672 | − | 0.0669449i | ||||
\(298\) | −1731.63 | −0.336612 | ||||||||
\(299\) | −356.383 | + | 1096.83i | −0.0689303 | + | 0.212146i | ||||
\(300\) | −1268.65 | + | 921.731i | −0.244153 | + | 0.177387i | ||||
\(301\) | 2901.51 | + | 2108.07i | 0.555615 | + | 0.403678i | ||||
\(302\) | 993.475 | + | 3057.60i | 0.189298 | + | 0.582600i | ||||
\(303\) | 1059.90 | + | 3262.02i | 0.200955 | + | 0.618476i | ||||
\(304\) | 602.715 | + | 437.898i | 0.113711 | + | 0.0826157i | ||||
\(305\) | −151.985 | + | 110.423i | −0.0285332 | + | 0.0207306i | ||||
\(306\) | 1275.71 | − | 3926.24i | 0.238326 | − | 0.733491i | ||||
\(307\) | −7670.26 | −1.42594 | −0.712972 | − | 0.701193i | \(-0.752651\pi\) | ||||
−0.712972 | + | 0.701193i | \(0.752651\pi\) | |||||||
\(308\) | 1426.61 | + | 96.7944i | 0.263924 | + | 0.0179070i | ||||
\(309\) | 2750.39 | 0.506356 | ||||||||
\(310\) | −110.915 | + | 341.361i | −0.0203211 | + | 0.0625419i | ||||
\(311\) | −3874.53 | + | 2815.01i | −0.706446 | + | 0.513263i | −0.882025 | − | 0.471203i | \(-0.843820\pi\) |
0.175579 | + | 0.984465i | \(0.443820\pi\) | |||||||
\(312\) | 283.481 | + | 205.961i | 0.0514390 | + | 0.0373726i | ||||
\(313\) | −1235.36 | − | 3802.04i | −0.223088 | − | 0.686593i | −0.998480 | − | 0.0551136i | \(-0.982448\pi\) |
0.775392 | − | 0.631480i | \(-0.217552\pi\) | |||||||
\(314\) | 1828.79 | + | 5628.43i | 0.328677 | + | 1.01156i | ||||
\(315\) | −83.7924 | − | 60.8787i | −0.0149878 | − | 0.0108893i | ||||
\(316\) | −4096.49 | + | 2976.27i | −0.729258 | + | 0.529837i | ||||
\(317\) | 2056.15 | − | 6328.19i | 0.364306 | − | 1.12122i | −0.586108 | − | 0.810233i | \(-0.699341\pi\) |
0.950414 | − | 0.310986i | \(-0.100659\pi\) | |||||||
\(318\) | 3534.87 | 0.623351 | ||||||||
\(319\) | 6342.60 | − | 3981.55i | 1.11322 | − | 0.698822i | ||||
\(320\) | 39.5542 | 0.00690983 | ||||||||
\(321\) | −841.082 | + | 2588.58i | −0.146245 | + | 0.450096i | ||||
\(322\) | −1313.24 | + | 954.125i | −0.227279 | + | 0.165128i | ||||
\(323\) | −4546.24 | − | 3303.04i | −0.783156 | − | 0.568996i | ||||
\(324\) | 31.2893 | + | 96.2984i | 0.00536510 | + | 0.0165121i | ||||
\(325\) | −536.162 | − | 1650.14i | −0.0915104 | − | 0.281640i | ||||
\(326\) | 3931.86 | + | 2856.67i | 0.667993 | + | 0.485326i | ||||
\(327\) | −4713.72 | + | 3424.72i | −0.797153 | + | 0.579166i | ||||
\(328\) | −417.115 | + | 1283.75i | −0.0702174 | + | 0.216107i | ||||
\(329\) | 2175.03 | 0.364478 | ||||||||
\(330\) | 34.6049 | + | 137.580i | 0.00577253 | + | 0.0229501i | ||||
\(331\) | 10258.7 | 1.70352 | 0.851762 | − | 0.523929i | \(-0.175534\pi\) | ||||
0.851762 | + | 0.523929i | \(0.175534\pi\) | |||||||
\(332\) | 1027.87 | − | 3163.47i | 0.169915 | − | 0.522945i | ||||
\(333\) | −666.596 | + | 484.310i | −0.109697 | + | 0.0796998i | ||||
\(334\) | 1824.85 | + | 1325.83i | 0.298955 | + | 0.217204i | ||||
\(335\) | 20.5673 | + | 63.2997i | 0.00335437 | + | 0.0103237i | ||||
\(336\) | 152.406 | + | 469.056i | 0.0247453 | + | 0.0761581i | ||||
\(337\) | −3067.44 | − | 2228.63i | −0.495829 | − | 0.360241i | 0.311593 | − | 0.950216i | \(-0.399138\pi\) |
−0.807421 | + | 0.589975i | \(0.799138\pi\) | |||||||
\(338\) | 3241.17 | − | 2354.84i | 0.521586 | − | 0.378955i | ||||
\(339\) | 307.385 | − | 946.034i | 0.0492474 | − | 0.151568i | ||||
\(340\) | −298.354 | −0.0475898 | ||||||||
\(341\) | −8129.43 | − | 6792.80i | −1.29101 | − | 1.07874i | ||||
\(342\) | 1592.74 | 0.251829 | ||||||||
\(343\) | 1786.42 | − | 5498.02i | 0.281217 | − | 0.865496i | ||||
\(344\) | −2368.97 | + | 1721.16i | −0.371298 | + | 0.269764i | ||||
\(345\) | −130.292 | − | 94.6625i | −0.0203324 | − | 0.0147723i | ||||
\(346\) | −1648.09 | − | 5072.29i | −0.256074 | − | 0.788116i | ||||
\(347\) | 2975.13 | + | 9156.50i | 0.460269 | + | 1.41656i | 0.864837 | + | 0.502053i | \(0.167422\pi\) |
−0.404568 | + | 0.914508i | \(0.632578\pi\) | |||||||
\(348\) | 2089.69 | + | 1518.25i | 0.321894 | + | 0.233870i | ||||
\(349\) | 8002.14 | − | 5813.90i | 1.22735 | − | 0.891721i | 0.230660 | − | 0.973034i | \(-0.425911\pi\) |
0.996689 | + | 0.0813131i | \(0.0259114\pi\) | |||||||
\(350\) | 754.653 | − | 2322.58i | 0.115251 | − | 0.354707i | ||||
\(351\) | 1931.74 | 0.293757 | ||||||||
\(352\) | −435.096 | + | 1083.34i | −0.0658826 | + | 0.164041i | ||||
\(353\) | 4714.45 | 0.710836 | 0.355418 | − | 0.934708i | \(-0.384339\pi\) | ||||
0.355418 | + | 0.934708i | \(0.384339\pi\) | |||||||
\(354\) | −799.151 | + | 2459.53i | −0.119984 | + | 0.369273i | ||||
\(355\) | −34.7235 | + | 25.2281i | −0.00519136 | + | 0.00377174i | ||||
\(356\) | −4798.93 | − | 3486.63i | −0.714447 | − | 0.519076i | ||||
\(357\) | −1149.59 | − | 3538.06i | −0.170427 | − | 0.524521i | ||||
\(358\) | −181.771 | − | 559.434i | −0.0268349 | − | 0.0825894i | ||||
\(359\) | −3481.89 | − | 2529.74i | −0.511887 | − | 0.371907i | 0.301652 | − | 0.953418i | \(-0.402462\pi\) |
−0.813539 | + | 0.581511i | \(0.802462\pi\) | |||||||
\(360\) | 68.4133 | − | 49.7052i | 0.0100158 | − | 0.00727692i | ||||
\(361\) | −1449.58 | + | 4461.36i | −0.211340 | + | 0.650439i | ||||
\(362\) | −2474.47 | −0.359268 | ||||||||
\(363\) | −4148.82 | − | 565.591i | −0.599880 | − | 0.0817791i | ||||
\(364\) | −545.690 | −0.0785768 | ||||||||
\(365\) | 15.7599 | − | 48.5039i | 0.00226003 | − | 0.00695564i | ||||
\(366\) | 1547.26 | − | 1124.15i | 0.220974 | − | 0.160547i | ||||
\(367\) | 7592.84 | + | 5516.52i | 1.07995 | + | 0.784632i | 0.977675 | − | 0.210123i | \(-0.0673865\pi\) |
0.102279 | + | 0.994756i | \(0.467387\pi\) | |||||||
\(368\) | −409.548 | − | 1260.46i | −0.0580140 | − | 0.178549i | ||||
\(369\) | 891.756 | + | 2744.54i | 0.125807 | + | 0.387196i | ||||
\(370\) | 48.1753 | + | 35.0014i | 0.00676896 | + | 0.00491794i | ||||
\(371\) | −4453.59 | + | 3235.72i | −0.623231 | + | 0.452804i | ||||
\(372\) | 1129.15 | − | 3475.17i | 0.157376 | − | 0.484352i | ||||
\(373\) | −4540.37 | −0.630272 | −0.315136 | − | 0.949047i | \(-0.602050\pi\) | ||||
−0.315136 | + | 0.949047i | \(0.602050\pi\) | |||||||
\(374\) | 3281.90 | − | 8171.60i | 0.453751 | − | 1.12979i | ||||
\(375\) | 485.325 | 0.0668322 | ||||||||
\(376\) | −548.762 | + | 1688.91i | −0.0752665 | + | 0.231647i | ||||
\(377\) | −2312.12 | + | 1679.85i | −0.315862 | + | 0.229487i | ||||
\(378\) | 2199.67 | + | 1598.15i | 0.299309 | + | 0.217461i | ||||
\(379\) | 128.538 | + | 395.598i | 0.0174209 | + | 0.0536161i | 0.959389 | − | 0.282086i | \(-0.0910264\pi\) |
−0.941968 | + | 0.335702i | \(0.891026\pi\) | |||||||
\(380\) | −35.5704 | − | 109.475i | −0.00480191 | − | 0.0147788i | ||||
\(381\) | 2095.54 | + | 1522.50i | 0.281779 | + | 0.204725i | ||||
\(382\) | −6173.81 | + | 4485.54i | −0.826911 | + | 0.600786i | ||||
\(383\) | −201.720 | + | 620.829i | −0.0269122 | + | 0.0828274i | −0.963611 | − | 0.267310i | \(-0.913865\pi\) |
0.936698 | + | 0.350138i | \(0.113865\pi\) | |||||||
\(384\) | −402.675 | −0.0535128 | ||||||||
\(385\) | −169.536 | − | 141.661i | −0.0224424 | − | 0.0187525i | ||||
\(386\) | −9413.49 | −1.24128 | ||||||||
\(387\) | −1934.53 | + | 5953.87i | −0.254102 | + | 0.782047i | ||||
\(388\) | −1252.33 | + | 909.874i | −0.163860 | + | 0.119051i | ||||
\(389\) | 358.300 | + | 260.320i | 0.0467006 | + | 0.0339299i | 0.610891 | − | 0.791715i | \(-0.290811\pi\) |
−0.564190 | + | 0.825645i | \(0.690811\pi\) | |||||||
\(390\) | −16.7302 | − | 51.4903i | −0.00217223 | − | 0.00668542i | ||||
\(391\) | 3089.19 | + | 9507.56i | 0.399558 | + | 1.22971i | ||||
\(392\) | 1598.56 | + | 1161.43i | 0.205969 | + | 0.149645i | ||||
\(393\) | −797.841 | + | 579.665i | −0.102406 | + | 0.0744026i | ||||
\(394\) | 1726.94 | − | 5314.97i | 0.220817 | − | 0.679605i | ||||
\(395\) | 782.359 | 0.0996577 | ||||||||
\(396\) | 608.823 | + | 2420.52i | 0.0772588 | + | 0.307161i | ||||
\(397\) | 3516.62 | 0.444570 | 0.222285 | − | 0.974982i | \(-0.428649\pi\) | ||||
0.222285 | + | 0.974982i | \(0.428649\pi\) | |||||||
\(398\) | −2588.76 | + | 7967.38i | −0.326037 | + | 1.00344i | ||||
\(399\) | 1161.16 | − | 843.630i | 0.145691 | − | 0.105850i | ||||
\(400\) | 1613.09 | + | 1171.98i | 0.201636 | + | 0.146497i | ||||
\(401\) | 1379.82 | + | 4246.65i | 0.171833 | + | 0.528847i | 0.999475 | − | 0.0324095i | \(-0.0103181\pi\) |
−0.827642 | + | 0.561257i | \(0.810318\pi\) | |||||||
\(402\) | −209.382 | − | 644.413i | −0.0259777 | − | 0.0799512i | ||||
\(403\) | 3270.81 | + | 2376.38i | 0.404294 | + | 0.293737i | ||||
\(404\) | 3528.20 | − | 2563.39i | 0.434492 | − | 0.315677i | ||||
\(405\) | 4.83446 | − | 14.8789i | 0.000593151 | − | 0.00182553i | ||||
\(406\) | −4022.57 | −0.491717 | ||||||||
\(407\) | −1488.58 | + | 934.452i | −0.181293 | + | 0.113806i | ||||
\(408\) | 3037.35 | 0.368557 | ||||||||
\(409\) | 1695.47 | − | 5218.11i | 0.204976 | − | 0.630853i | −0.794738 | − | 0.606953i | \(-0.792392\pi\) |
0.999714 | − | 0.0239000i | \(-0.00760832\pi\) | |||||||
\(410\) | 168.726 | − | 122.587i | 0.0203239 | − | 0.0147662i | ||||
\(411\) | −4774.94 | − | 3469.20i | −0.573067 | − | 0.416358i | ||||
\(412\) | −1080.67 | − | 3325.95i | −0.129225 | − | 0.397713i | ||||
\(413\) | −1244.54 | − | 3830.29i | −0.148280 | − | 0.456359i | ||||
\(414\) | −2292.30 | − | 1665.45i | −0.272126 | − | 0.197711i | ||||
\(415\) | −415.783 | + | 302.084i | −0.0491807 | + | 0.0357319i | ||||
\(416\) | 137.678 | − | 423.729i | 0.0162265 | − | 0.0499400i | ||||
\(417\) | 2678.25 | 0.314519 | ||||||||
\(418\) | 3389.66 | + | 229.986i | 0.396636 | + | 0.0269114i | ||||
\(419\) | −5133.78 | −0.598571 | −0.299286 | − | 0.954164i | \(-0.596748\pi\) | ||||
−0.299286 | + | 0.954164i | \(0.596748\pi\) | |||||||
\(420\) | 23.5480 | − | 72.4732i | 0.00273577 | − | 0.00841983i | ||||
\(421\) | 4869.80 | − | 3538.12i | 0.563752 | − | 0.409590i | −0.269078 | − | 0.963118i | \(-0.586719\pi\) |
0.832830 | + | 0.553528i | \(0.186719\pi\) | |||||||
\(422\) | −1359.84 | − | 987.984i | −0.156863 | − | 0.113968i | ||||
\(423\) | 1173.21 | + | 3610.76i | 0.134854 | + | 0.415038i | ||||
\(424\) | −1388.90 | − | 4274.59i | −0.159082 | − | 0.489605i | ||||
\(425\) | −12167.4 | − | 8840.15i | −1.38872 | − | 1.00897i | ||||
\(426\) | 353.497 | − | 256.831i | 0.0402042 | − | 0.0292101i | ||||
\(427\) | −920.378 | + | 2832.63i | −0.104310 | + | 0.321032i | ||||
\(428\) | 3460.76 | 0.390846 | ||||||||
\(429\) | 1594.30 | + | 108.172i | 0.179425 | + | 0.0121738i | ||||
\(430\) | 452.433 | 0.0507402 | ||||||||
\(431\) | 4073.52 | − | 12537.0i | 0.455254 | − | 1.40113i | −0.415583 | − | 0.909555i | \(-0.636422\pi\) |
0.870837 | − | 0.491572i | \(-0.163578\pi\) | |||||||
\(432\) | −1795.95 | + | 1304.83i | −0.200017 | + | 0.145321i | ||||
\(433\) | 2983.11 | + | 2167.36i | 0.331084 | + | 0.240546i | 0.740890 | − | 0.671626i | \(-0.234404\pi\) |
−0.409807 | + | 0.912172i | \(0.634404\pi\) | |||||||
\(434\) | 1758.46 | + | 5411.97i | 0.194490 | + | 0.598578i | ||||
\(435\) | −123.327 | − | 379.563i | −0.0135933 | − | 0.0418359i | ||||
\(436\) | 5993.48 | + | 4354.52i | 0.658338 | + | 0.478311i | ||||
\(437\) | −3120.29 | + | 2267.02i | −0.341564 | + | 0.248161i | ||||
\(438\) | −160.441 | + | 493.786i | −0.0175026 | + | 0.0538676i | ||||
\(439\) | −10680.8 | −1.16120 | −0.580600 | − | 0.814189i | \(-0.697182\pi\) | ||||
−0.580600 | + | 0.814189i | \(0.697182\pi\) | |||||||
\(440\) | 152.774 | − | 95.9036i | 0.0165528 | − | 0.0103910i | ||||
\(441\) | 4224.38 | 0.456148 | ||||||||
\(442\) | −1038.50 | + | 3196.16i | −0.111756 | + | 0.343950i | ||||
\(443\) | 9746.78 | − | 7081.45i | 1.04534 | − | 0.759481i | 0.0740158 | − | 0.997257i | \(-0.476418\pi\) |
0.971320 | + | 0.237776i | \(0.0764185\pi\) | |||||||
\(444\) | −490.441 | − | 356.326i | −0.0524219 | − | 0.0380867i | ||||
\(445\) | 283.219 | + | 871.657i | 0.0301704 | + | 0.0928551i | ||||
\(446\) | −3217.77 | − | 9903.29i | −0.341628 | − | 1.05142i | ||||
\(447\) | −2203.57 | − | 1600.99i | −0.233166 | − | 0.169405i | ||||
\(448\) | 507.331 | − | 368.598i | 0.0535026 | − | 0.0388719i | ||||
\(449\) | 1940.68 | − | 5972.81i | 0.203979 | − | 0.627782i | −0.795775 | − | 0.605592i | \(-0.792936\pi\) |
0.999754 | − | 0.0221898i | \(-0.00706381\pi\) | |||||||
\(450\) | 4262.77 | 0.446553 | ||||||||
\(451\) | 1501.53 | + | 5969.68i | 0.156772 | + | 0.623285i | ||||
\(452\) | −1264.78 | −0.131616 | ||||||||
\(453\) | −1562.69 | + | 4809.45i | −0.162078 | + | 0.498825i | ||||
\(454\) | −1483.95 | + | 1078.15i | −0.153404 | + | 0.111454i | ||||
\(455\) | 68.2113 | + | 49.5584i | 0.00702812 | + | 0.00510623i | ||||
\(456\) | 362.119 | + | 1114.49i | 0.0371881 | + | 0.114453i | ||||
\(457\) | −2396.54 | − | 7375.81i | −0.245308 | − | 0.754980i | −0.995586 | − | 0.0938571i | \(-0.970080\pi\) |
0.750278 | − | 0.661123i | \(-0.229920\pi\) | |||||||
\(458\) | 8186.04 | + | 5947.51i | 0.835172 | + | 0.606788i | ||||
\(459\) | 13546.7 | − | 9842.26i | 1.37757 | − | 1.00087i | ||||
\(460\) | −63.2786 | + | 194.752i | −0.00641387 | + | 0.0197399i | ||||
\(461\) | 5774.66 | 0.583411 | 0.291706 | − | 0.956508i | \(-0.405777\pi\) | ||||
0.291706 | + | 0.956508i | \(0.405777\pi\) | |||||||
\(462\) | 1725.93 | + | 1442.16i | 0.173804 | + | 0.145228i | ||||
\(463\) | −10005.7 | −1.00433 | −0.502164 | − | 0.864773i | \(-0.667462\pi\) | ||||
−0.502164 | + | 0.864773i | \(0.667462\pi\) | |||||||
\(464\) | 1014.90 | − | 3123.53i | 0.101542 | − | 0.312514i | ||||
\(465\) | −456.751 | + | 331.849i | −0.0455512 | + | 0.0330949i | ||||
\(466\) | 8001.27 | + | 5813.26i | 0.795390 | + | 0.577885i | ||||
\(467\) | 375.196 | + | 1154.73i | 0.0371777 | + | 0.114421i | 0.967923 | − | 0.251247i | \(-0.0808406\pi\) |
−0.930745 | + | 0.365668i | \(0.880841\pi\) | |||||||
\(468\) | −294.344 | − | 905.898i | −0.0290728 | − | 0.0894768i | ||||
\(469\) | 853.680 | + | 620.234i | 0.0840496 | + | 0.0610656i | ||||
\(470\) | 221.979 | − | 161.277i | 0.0217854 | − | 0.0158280i | ||||
\(471\) | −2876.59 | + | 8853.23i | −0.281415 | + | 0.866105i | ||||
\(472\) | 3288.23 | 0.320663 | ||||||||
\(473\) | −4976.77 | + | 12391.6i | −0.483789 | + | 1.20458i | ||||
\(474\) | −7964.69 | −0.771794 | ||||||||
\(475\) | 1793.07 | − | 5518.51i | 0.173204 | − | 0.533066i | ||||
\(476\) | −3826.77 | + | 2780.31i | −0.368486 | + | 0.267721i | ||||
\(477\) | −7773.86 | − | 5648.04i | −0.746207 | − | 0.542151i | ||||
\(478\) | 181.132 | + | 557.466i | 0.0173321 | + | 0.0533429i | ||||
\(479\) | −2826.91 | − | 8700.32i | −0.269655 | − | 0.829912i | −0.990584 | − | 0.136904i | \(-0.956285\pi\) |
0.720929 | − | 0.693008i | \(-0.243715\pi\) | |||||||
\(480\) | 50.3344 | + | 36.5701i | 0.00478633 | + | 0.00347747i | ||||
\(481\) | 542.643 | − | 394.254i | 0.0514395 | − | 0.0373730i | ||||
\(482\) | −775.462 | + | 2386.63i | −0.0732808 | + | 0.225535i | ||||
\(483\) | −2553.30 | −0.240536 | ||||||||
\(484\) | 946.179 | + | 5239.25i | 0.0888598 | + | 0.492041i | ||||
\(485\) | 239.175 | 0.0223925 | ||||||||
\(486\) | −2364.44 | + | 7276.98i | −0.220685 | + | 0.679199i | ||||
\(487\) | 2671.20 | − | 1940.74i | 0.248550 | − | 0.180582i | −0.456534 | − | 0.889706i | \(-0.650909\pi\) |
0.705084 | + | 0.709124i | \(0.250909\pi\) | |||||||
\(488\) | −1967.33 | − | 1429.35i | −0.182494 | − | 0.132589i | ||||
\(489\) | 2362.32 | + | 7270.46i | 0.218461 | + | 0.672355i | ||||
\(490\) | −94.3425 | − | 290.356i | −0.00869788 | − | 0.0267693i | ||||
\(491\) | −3192.31 | − | 2319.35i | −0.293416 | − | 0.213179i | 0.431332 | − | 0.902193i | \(-0.358044\pi\) |
−0.724748 | + | 0.689014i | \(0.758044\pi\) | |||||||
\(492\) | −1717.69 | + | 1247.98i | −0.157397 | + | 0.114356i | ||||
\(493\) | −7655.31 | + | 23560.6i | −0.699346 | + | 2.15237i | ||||
\(494\) | −1296.57 | −0.118088 | ||||||||
\(495\) | 143.724 | − | 357.857i | 0.0130503 | − | 0.0324939i | ||||
\(496\) | −4646.06 | −0.420593 | ||||||||
\(497\) | −210.276 | + | 647.163i | −0.0189782 | + | 0.0584089i | ||||
\(498\) | 4232.81 | − | 3075.32i | 0.380877 | − | 0.276724i | ||||
\(499\) | −8426.88 | − | 6122.48i | −0.755990 | − | 0.549259i | 0.141688 | − | 0.989911i | \(-0.454747\pi\) |
−0.897678 | + | 0.440653i | \(0.854747\pi\) | |||||||
\(500\) | −190.691 | − | 586.887i | −0.0170559 | − | 0.0524928i | ||||
\(501\) | 1096.39 | + | 3374.35i | 0.0977708 | + | 0.300907i | ||||
\(502\) | −8167.19 | − | 5933.81i | −0.726134 | − | 0.527568i | ||||
\(503\) | −11332.3 | + | 8233.41i | −1.00454 | + | 0.729840i | −0.963057 | − | 0.269299i | \(-0.913208\pi\) |
−0.0414821 | + | 0.999139i | \(0.513208\pi\) | |||||||
\(504\) | 414.292 | − | 1275.06i | 0.0366152 | − | 0.112690i | ||||
\(505\) | −673.827 | −0.0593761 | ||||||||
\(506\) | −4637.96 | − | 3875.40i | −0.407476 | − | 0.340479i | ||||
\(507\) | 6301.71 | 0.552009 | ||||||||
\(508\) | 1017.74 | − | 3132.28i | 0.0888875 | − | 0.273568i | ||||
\(509\) | −472.527 | + | 343.311i | −0.0411481 | + | 0.0298959i | −0.608169 | − | 0.793807i | \(-0.708096\pi\) |
0.567021 | + | 0.823703i | \(0.308096\pi\) | |||||||
\(510\) | −379.669 | − | 275.845i | −0.0329647 | − | 0.0239503i | ||||
\(511\) | −249.859 | − | 768.985i | −0.0216303 | − | 0.0665713i | ||||
\(512\) | 158.217 | + | 486.941i | 0.0136568 | + | 0.0420312i | ||||
\(513\) | 5226.47 | + | 3797.25i | 0.449813 | + | 0.326808i | ||||
\(514\) | 8631.09 | − | 6270.85i | 0.740663 | − | 0.538123i | ||||
\(515\) | −166.972 | + | 513.887i | −0.0142867 | + | 0.0439700i | ||||
\(516\) | −4605.93 | −0.392955 | ||||||||
\(517\) | 1975.43 | + | 7853.80i | 0.168045 | + | 0.668104i | ||||
\(518\) | 944.079 | 0.0800781 | ||||||||
\(519\) | 2592.36 | − | 7978.46i | 0.219252 | − | 0.674789i | ||||
\(520\) | −55.6919 | + | 40.4626i | −0.00469664 | + | 0.00341231i | ||||
\(521\) | 8627.69 | + | 6268.38i | 0.725500 | + | 0.527107i | 0.888137 | − | 0.459579i | \(-0.152000\pi\) |
−0.162636 | + | 0.986686i | \(0.552000\pi\) | |||||||
\(522\) | −2169.77 | − | 6677.85i | −0.181931 | − | 0.559927i | ||||
\(523\) | −3403.11 | − | 10473.7i | −0.284527 | − | 0.875683i | −0.986540 | − | 0.163519i | \(-0.947715\pi\) |
0.702013 | − | 0.712164i | \(-0.252285\pi\) | |||||||
\(524\) | 1014.45 | + | 737.043i | 0.0845736 | + | 0.0614463i | ||||
\(525\) | 3107.69 | − | 2257.87i | 0.258344 | − | 0.187698i | ||||
\(526\) | 447.519 | − | 1377.32i | 0.0370965 | − | 0.114171i | ||||
\(527\) | 35044.9 | 2.89674 | ||||||||
\(528\) | −1555.29 | + | 976.331i | −0.128192 | + | 0.0804723i | ||||
\(529\) | −5305.72 | −0.436075 | ||||||||
\(530\) | −214.597 | + | 660.461i | −0.0175877 | + | 0.0541294i | ||||
\(531\) | 5687.35 | − | 4132.10i | 0.464802 | − | 0.337698i | ||||
\(532\) | −1476.41 | − | 1072.67i | −0.120320 | − | 0.0874178i | ||||
\(533\) | −725.935 | − | 2234.20i | −0.0589939 | − | 0.181564i | ||||
\(534\) | −2883.26 | − | 8873.77i | −0.233653 | − | 0.719111i | ||||
\(535\) | −432.595 | − | 314.299i | −0.0349583 | − | 0.0253987i | ||||
\(536\) | −696.997 | + | 506.398i | −0.0561673 | + | 0.0408079i | ||||
\(537\) | 285.917 | − | 879.961i | 0.0229762 | − | 0.0707134i | ||||
\(538\) | 8077.92 | 0.647331 | ||||||||
\(539\) | 8990.30 | + | 609.984i | 0.718441 | + | 0.0487456i | ||||
\(540\) | 342.995 | 0.0273337 | ||||||||
\(541\) | −2854.45 | + | 8785.09i | −0.226843 | + | 0.698152i | 0.771256 | + | 0.636525i | \(0.219629\pi\) |
−0.998099 | + | 0.0616270i | \(0.980371\pi\) | |||||||
\(542\) | 3918.87 | − | 2847.22i | 0.310572 | − | 0.225643i | ||||
\(543\) | −3148.86 | − | 2287.78i | −0.248859 | − | 0.180807i | ||||
\(544\) | −1193.42 | − | 3672.96i | −0.0940577 | − | 0.289480i | ||||
\(545\) | −353.717 | − | 1088.63i | −0.0278011 | − | 0.0855628i | ||||
\(546\) | −694.414 | − | 504.522i | −0.0544289 | − | 0.0395449i | ||||
\(547\) | −2628.40 | + | 1909.65i | −0.205452 | + | 0.149270i | −0.685754 | − | 0.727834i | \(-0.740527\pi\) |
0.480301 | + | 0.877104i | \(0.340527\pi\) | |||||||
\(548\) | −2319.04 | + | 7137.27i | −0.180775 | + | 0.556367i | ||||
\(549\) | −5198.89 | −0.404159 | ||||||||
\(550\) | 9071.99 | + | 615.527i | 0.703329 | + | 0.0477203i | ||||
\(551\) | −9557.72 | −0.738970 | ||||||||
\(552\) | 644.198 | − | 1982.64i | 0.0496719 | − | 0.152874i | ||||
\(553\) | 10034.7 | − | 7290.66i | 0.771646 | − | 0.560633i | ||||
\(554\) | −7099.56 | − | 5158.14i | −0.544461 | − | 0.395574i | ||||
\(555\) | 28.9444 | + | 89.0816i | 0.00221373 | + | 0.00681316i | ||||
\(556\) | −1052.32 | − | 3238.71i | −0.0802669 | − | 0.247036i | ||||
\(557\) | −673.700 | − | 489.472i | −0.0512488 | − | 0.0372345i | 0.561866 | − | 0.827228i | \(-0.310084\pi\) |
−0.613115 | + | 0.789994i | \(0.710084\pi\) | |||||||
\(558\) | −8035.88 | + | 5838.41i | −0.609652 | + | 0.442938i | ||||
\(559\) | 1574.81 | − | 4846.75i | 0.119154 | − | 0.366719i | ||||
\(560\) | −96.8916 | −0.00731146 | ||||||||
\(561\) | 11731.5 | − | 7364.40i | 0.882892 | − | 0.554234i | ||||
\(562\) | 86.8154 | 0.00651617 | ||||||||
\(563\) | −3629.80 | + | 11171.4i | −0.271719 | + | 0.836266i | 0.718350 | + | 0.695682i | \(0.244898\pi\) |
−0.990069 | + | 0.140583i | \(0.955102\pi\) | |||||||
\(564\) | −2259.82 | + | 1641.85i | −0.168715 | + | 0.122579i | ||||
\(565\) | 158.098 | + | 114.865i | 0.0117721 | + | 0.00855291i | ||||
\(566\) | 1096.01 | + | 3373.17i | 0.0813936 | + | 0.250504i | ||||
\(567\) | −76.6459 | − | 235.892i | −0.00567694 | − | 0.0174718i | ||||
\(568\) | −449.470 | − | 326.559i | −0.0332031 | − | 0.0241235i | ||||
\(569\) | 5406.32 | − | 3927.92i | 0.398321 | − | 0.289397i | −0.370536 | − | 0.928818i | \(-0.620826\pi\) |
0.768857 | + | 0.639421i | \(0.220826\pi\) | |||||||
\(570\) | 55.9505 | − | 172.198i | 0.00411142 | − | 0.0126536i | ||||
\(571\) | −2066.18 | −0.151431 | −0.0757153 | − | 0.997129i | \(-0.524124\pi\) | ||||
−0.0757153 | + | 0.997129i | \(0.524124\pi\) | |||||||
\(572\) | −495.613 | − | 1970.43i | −0.0362284 | − | 0.144035i | ||||
\(573\) | −12003.6 | −0.875142 | ||||||||
\(574\) | 1021.76 | − | 3144.66i | 0.0742988 | − | 0.228668i | ||||
\(575\) | −8351.05 | + | 6067.39i | −0.605674 | + | 0.440048i | ||||
\(576\) | 885.560 | + | 643.397i | 0.0640596 | + | 0.0465420i | ||||
\(577\) | −5411.80 | − | 16655.8i | −0.390461 | − | 1.20172i | −0.932440 | − | 0.361325i | \(-0.882325\pi\) |
0.541979 | − | 0.840392i | \(-0.317675\pi\) | |||||||
\(578\) | 5965.47 | + | 18359.8i | 0.429292 | + | 1.32123i | ||||
\(579\) | −11979.1 | − | 8703.30i | −0.859815 | − | 0.624692i | ||||
\(580\) | −410.535 | + | 298.271i | −0.0293906 | + | 0.0213535i | ||||
\(581\) | −2517.87 | + | 7749.20i | −0.179791 | + | 0.553341i | ||||
\(582\) | −2434.88 | −0.173417 | ||||||||
\(583\) | −15728.7 | − | 13142.6i | −1.11735 | − | 0.933640i | ||||
\(584\) | 660.158 | 0.0467766 | ||||||||
\(585\) | −45.4787 | + | 139.969i | −0.00321421 | + | 0.00989231i | ||||
\(586\) | 3405.80 | − | 2474.46i | 0.240089 | − | 0.174435i | ||||
\(587\) | 12737.4 | + | 9254.24i | 0.895618 | + | 0.650704i | 0.937337 | − | 0.348425i | \(-0.113283\pi\) |
−0.0417190 | + | 0.999129i | \(0.513283\pi\) | |||||||
\(588\) | 960.439 | + | 2955.93i | 0.0673602 | + | 0.207314i | ||||
\(589\) | 4178.13 | + | 12859.0i | 0.292287 | + | 0.899566i | ||||
\(590\) | −411.028 | − | 298.629i | −0.0286810 | − | 0.0208379i | ||||
\(591\) | 7111.59 | − | 5166.88i | 0.494978 | − | 0.359622i | ||||
\(592\) | −238.192 | + | 733.079i | −0.0165365 | + | 0.0508942i | ||||
\(593\) | −714.295 | −0.0494647 | −0.0247324 | − | 0.999694i | \(-0.507873\pi\) | ||||
−0.0247324 | + | 0.999694i | \(0.507873\pi\) | |||||||
\(594\) | −3772.95 | + | 9394.26i | −0.260616 | + | 0.648908i | ||||
\(595\) | 730.847 | 0.0503560 | ||||||||
\(596\) | −1070.20 | + | 3293.75i | −0.0735525 | + | 0.226371i | ||||
\(597\) | −10660.6 | + | 7745.38i | −0.730836 | + | 0.530984i | ||||
\(598\) | 1866.05 | + | 1355.76i | 0.127606 | + | 0.0927111i | ||||
\(599\) | 4457.78 | + | 13719.6i | 0.304073 | + | 0.935842i | 0.980021 | + | 0.198892i | \(0.0637344\pi\) |
−0.675948 | + | 0.736949i | \(0.736266\pi\) | |||||||
\(600\) | 969.165 | + | 2982.78i | 0.0659434 | + | 0.202953i | ||||
\(601\) | −2337.55 | − | 1698.33i | −0.158653 | − | 0.115268i | 0.505626 | − | 0.862753i | \(-0.331262\pi\) |
−0.664279 | + | 0.747484i | \(0.731262\pi\) | |||||||
\(602\) | 5803.02 | − | 4216.14i | 0.392879 | − | 0.285444i | ||||
\(603\) | −569.175 | + | 1751.74i | −0.0384388 | + | 0.118303i | ||||
\(604\) | 6429.91 | 0.433161 | ||||||||
\(605\) | 357.545 | − | 740.836i | 0.0240269 | − | 0.0497839i | ||||
\(606\) | 6859.79 | 0.459835 | ||||||||
\(607\) | −2828.28 | + | 8704.55i | −0.189121 | + | 0.582054i | −0.999995 | − | 0.00316656i | \(-0.998992\pi\) |
0.810874 | + | 0.585221i | \(0.198992\pi\) | |||||||
\(608\) | 1205.43 | − | 875.796i | 0.0804057 | − | 0.0584181i | ||||
\(609\) | −5118.90 | − | 3719.10i | −0.340604 | − | 0.247464i | ||||
\(610\) | 116.106 | + | 357.337i | 0.00770655 | + | 0.0237183i | ||||
\(611\) | −955.050 | − | 2939.34i | −0.0632360 | − | 0.194620i | ||||
\(612\) | −6679.72 | − | 4853.10i | −0.441196 | − | 0.320547i | ||||
\(613\) | −1026.19 | + | 745.573i | −0.0676143 | + | 0.0491247i | −0.621079 | − | 0.783748i | \(-0.713305\pi\) |
0.553465 | + | 0.832873i | \(0.313305\pi\) | |||||||
\(614\) | −4740.48 | + | 14589.7i | −0.311580 | + | 0.958945i | ||||
\(615\) | 328.050 | 0.0215094 | ||||||||
\(616\) | 1065.81 | − | 2653.75i | 0.0697121 | − | 0.173576i | ||||
\(617\) | 2961.74 | 0.193250 | 0.0966250 | − | 0.995321i | \(-0.469195\pi\) | ||||
0.0966250 | + | 0.995321i | \(0.469195\pi\) | |||||||
\(618\) | 1699.83 | − | 5231.54i | 0.110643 | − | 0.340524i | ||||
\(619\) | −19572.8 | + | 14220.5i | −1.27092 | + | 0.923374i | −0.999239 | − | 0.0390142i | \(-0.987578\pi\) |
−0.271677 | + | 0.962388i | \(0.587578\pi\) | |||||||
\(620\) | 580.758 | + | 421.945i | 0.0376190 | + | 0.0273318i | ||||
\(621\) | −3551.41 | − | 10930.1i | −0.229490 | − | 0.706297i | ||||
\(622\) | 2959.88 | + | 9109.57i | 0.190804 | + | 0.587236i | ||||
\(623\) | 11755.4 | + | 8540.82i | 0.755974 | + | 0.549247i | ||||
\(624\) | 566.963 | − | 411.923i | 0.0363729 | − | 0.0264264i | ||||
\(625\) | 4784.17 | − | 14724.2i | 0.306187 | − | 0.942347i | ||||
\(626\) | −7995.39 | −0.510479 | ||||||||
\(627\) | 4100.85 | + | 3426.60i | 0.261200 | + | 0.218254i | ||||
\(628\) | 11836.2 | 0.752093 | ||||||||
\(629\) | 1796.67 | − | 5529.57i | 0.113891 | − | 0.350522i | ||||
\(630\) | −167.585 | + | 121.757i | −0.0105980 | + | 0.00769989i | ||||
\(631\) | 2127.22 | + | 1545.51i | 0.134205 | + | 0.0975055i | 0.652862 | − | 0.757477i | \(-0.273568\pi\) |
−0.518658 | + | 0.854982i | \(0.673568\pi\) | |||||||
\(632\) | 3129.44 | + | 9631.42i | 0.196966 | + | 0.606198i | ||||
\(633\) | −817.011 | − | 2514.50i | −0.0513006 | − | 0.157887i | ||||
\(634\) | −10766.2 | − | 7822.07i | −0.674414 | − | 0.489991i | ||||
\(635\) | −411.684 | + | 299.106i | −0.0257278 | + | 0.0186924i | ||||
\(636\) | 2184.67 | − | 6723.72i | 0.136207 | − | 0.419202i | ||||
\(637\) | −3438.86 | −0.213898 | ||||||||
\(638\) | −3653.43 | − | 14525.1i | −0.226709 | − | 0.901337i | ||||
\(639\) | −1187.77 | −0.0735331 | ||||||||
\(640\) | 24.4458 | − | 75.2365i | 0.00150985 | − | 0.00464685i | ||||
\(641\) | 6812.72 | − | 4949.73i | 0.419791 | − | 0.304996i | −0.357763 | − | 0.933813i | \(-0.616460\pi\) |
0.777554 | + | 0.628816i | \(0.216460\pi\) | |||||||
\(642\) | 4403.96 | + | 3199.67i | 0.270733 | + | 0.196699i | ||||
\(643\) | −4706.41 | − | 14484.8i | −0.288651 | − | 0.888377i | −0.985280 | − | 0.170946i | \(-0.945318\pi\) |
0.696629 | − | 0.717431i | \(-0.254682\pi\) | |||||||
\(644\) | 1003.23 | + | 3087.61i | 0.0613861 | + | 0.188927i | ||||
\(645\) | 575.741 | + | 418.300i | 0.0351469 | + | 0.0255357i | ||||
\(646\) | −9092.48 | + | 6606.07i | −0.553775 | + | 0.402341i | ||||
\(647\) | 6370.80 | − | 19607.3i | 0.387113 | − | 1.19141i | −0.547823 | − | 0.836594i | \(-0.684543\pi\) |
0.934936 | − | 0.354816i | \(-0.115457\pi\) | |||||||
\(648\) | 202.508 | 0.0122767 | ||||||||
\(649\) | 12700.4 | − | 7972.68i | 0.768160 | − | 0.482211i | ||||
\(650\) | −3470.11 | −0.209398 | ||||||||
\(651\) | −2765.96 | + | 8512.75i | −0.166523 | + | 0.512505i | ||||
\(652\) | 7863.73 | − | 5713.33i | 0.472343 | − | 0.343177i | ||||
\(653\) | −4692.68 | − | 3409.43i | −0.281223 | − | 0.204321i | 0.438227 | − | 0.898864i | \(-0.355606\pi\) |
−0.719451 | + | 0.694543i | \(0.755606\pi\) | |||||||
\(654\) | 3600.96 | + | 11082.6i | 0.215304 | + | 0.662637i | ||||
\(655\) | −59.8699 | − | 184.261i | −0.00357147 | − | 0.0109918i | ||||
\(656\) | 2184.04 | + | 1586.80i | 0.129988 | + | 0.0944422i | ||||
\(657\) | 1141.82 | − | 829.578i | 0.0678029 | − | 0.0492617i | ||||
\(658\) | 1344.24 | − | 4137.15i | 0.0796414 | − | 0.245111i | ||||
\(659\) | −14795.0 | −0.874552 | −0.437276 | − | 0.899327i | \(-0.644057\pi\) | ||||
−0.437276 | + | 0.899327i | \(0.644057\pi\) | |||||||
\(660\) | 283.080 | + | 19.2067i | 0.0166952 | + | 0.00113276i | ||||
\(661\) | 12343.7 | 0.726344 | 0.363172 | − | 0.931722i | \(-0.381694\pi\) | ||||
0.363172 | + | 0.931722i | \(0.381694\pi\) | |||||||
\(662\) | 6340.20 | − | 19513.1i | 0.372234 | − | 1.14562i | ||||
\(663\) | −4276.56 | + | 3107.10i | −0.250510 | + | 0.182006i | ||||
\(664\) | −5382.01 | − | 3910.26i | −0.314552 | − | 0.228535i | ||||
\(665\) | 87.1331 | + | 268.168i | 0.00508102 | + | 0.0156378i | ||||
\(666\) | 509.234 | + | 1567.26i | 0.0296283 | + | 0.0911864i | ||||
\(667\) | 13755.6 | + | 9994.04i | 0.798530 | + | 0.580166i | ||||
\(668\) | 3649.69 | − | 2651.66i | 0.211393 | − | 0.153586i | ||||
\(669\) | 5061.39 | − | 15577.4i | 0.292503 | − | 0.900233i | ||||
\(670\) | 133.115 | 0.00767562 | ||||||||
\(671\) | −11064.2 | − | 750.699i | −0.636558 | − | 0.0431899i | ||||
\(672\) | 986.390 | 0.0566232 | ||||||||
\(673\) | −295.599 | + | 909.760i | −0.0169309 | + | 0.0521080i | −0.959165 | − | 0.282847i | \(-0.908721\pi\) |
0.942234 | + | 0.334955i | \(0.108721\pi\) | |||||||
\(674\) | −6134.88 | + | 4457.25i | −0.350604 | + | 0.254729i | ||||
\(675\) | 13988.0 | + | 10162.9i | 0.797625 | + | 0.579509i | ||||
\(676\) | −2476.03 | − | 7620.44i | −0.140876 | − | 0.433571i | ||||
\(677\) | −1280.10 | − | 3939.73i | −0.0726707 | − | 0.223657i | 0.908124 | − | 0.418702i | \(-0.137515\pi\) |
−0.980794 | + | 0.195045i | \(0.937515\pi\) | |||||||
\(678\) | −1609.49 | − | 1169.36i | −0.0911682 | − | 0.0662376i | ||||
\(679\) | 3067.71 | − | 2228.82i | 0.173384 | − | 0.125971i | ||||
\(680\) | −184.393 | + | 567.504i | −0.0103988 | + | 0.0320041i | ||||
\(681\) | −2885.20 | −0.162351 | ||||||||
\(682\) | −17944.9 | + | 11264.9i | −1.00755 | + | 0.632486i | ||||
\(683\) | 18776.7 | 1.05193 | 0.525967 | − | 0.850505i | \(-0.323704\pi\) | ||||
0.525967 | + | 0.850505i | \(0.323704\pi\) | |||||||
\(684\) | 984.368 | − | 3029.57i | 0.0550267 | − | 0.169355i | ||||
\(685\) | 938.072 | − | 681.549i | 0.0523239 | − | 0.0380155i | ||||
\(686\) | −9353.79 | − | 6795.93i | −0.520597 | − | 0.378236i | ||||
\(687\) | 4918.28 | + | 15136.9i | 0.273136 | + | 0.840625i | ||||
\(688\) | 1809.73 | + | 5569.79i | 0.100284 | + | 0.308643i | ||||
\(689\) | 6328.32 | + | 4597.79i | 0.349913 | + | 0.254226i | ||||
\(690\) | −260.584 | + | 189.325i | −0.0143772 | + | 0.0104456i | ||||
\(691\) | −1074.88 | + | 3308.14i | −0.0591757 | + | 0.182124i | −0.976275 | − | 0.216535i | \(-0.930524\pi\) |
0.917099 | + | 0.398659i | \(0.130524\pi\) | |||||||
\(692\) | −10666.7 | −0.585961 | ||||||||
\(693\) | −1491.37 | − | 5929.29i | −0.0817495 | − | 0.325015i | ||||
\(694\) | 19255.4 | 1.05321 | ||||||||
\(695\) | −162.593 | + | 500.409i | −0.00887409 | + | 0.0273116i | ||||
\(696\) | 4179.38 | − | 3036.50i | 0.227614 | − | 0.165371i | ||||
\(697\) | −16474.1 | − | 11969.1i | −0.895265 | − | 0.650448i | ||||
\(698\) | −6113.09 | − | 18814.2i | −0.331496 | − | 1.02024i | ||||
\(699\) | 4807.27 | + | 14795.3i | 0.260125 | + | 0.800583i | ||||
\(700\) | −3951.41 | − | 2870.87i | −0.213356 | − | 0.155012i | ||||
\(701\) | −29002.2 | + | 21071.3i | −1.56262 | + | 1.13531i | −0.628802 | + | 0.777566i | \(0.716454\pi\) |
−0.933819 | + | 0.357745i | \(0.883546\pi\) | |||||||
\(702\) | 1193.88 | − | 3674.39i | 0.0641882 | − | 0.197551i | ||||
\(703\) | 2243.15 | 0.120344 | ||||||||
\(704\) | 1791.74 | + | 1497.15i | 0.0959215 | + | 0.0801503i | ||||
\(705\) | 431.587 | 0.0230560 | ||||||||
\(706\) | 2913.69 | − | 8967.42i | 0.155323 | − | 0.478036i | ||||
\(707\) | −8642.67 | + | 6279.26i | −0.459747 | + | 0.334026i | ||||
\(708\) | 4184.41 | + | 3040.15i | 0.222118 | + | 0.161378i | ||||
\(709\) | 10717.5 | + | 32985.1i | 0.567707 | + | 1.74722i | 0.659769 | + | 0.751468i | \(0.270654\pi\) |
−0.0920627 | + | 0.995753i | \(0.529346\pi\) | |||||||
\(710\) | 26.5264 | + | 81.6399i | 0.00140214 | + | 0.00431534i | ||||
\(711\) | 17515.9 | + | 12726.0i | 0.923906 | + | 0.671257i | ||||
\(712\) | −9597.87 | + | 6973.26i | −0.505190 | + | 0.367042i | ||||
\(713\) | 7432.75 | − | 22875.7i | 0.390405 | − | 1.20154i | ||||
\(714\) | −7440.27 | −0.389979 | ||||||||
\(715\) | −116.998 | + | 291.314i | −0.00611957 | + | 0.0152371i | ||||
\(716\) | −1176.45 | −0.0614049 | ||||||||
\(717\) | −284.911 | + | 876.865i | −0.0148399 | + | 0.0456724i | ||||
\(718\) | −6963.79 | + | 5059.49i | −0.361959 | + | 0.262978i | ||||
\(719\) | 18179.4 | + | 13208.1i | 0.942946 | + | 0.685091i | 0.949128 | − | 0.314890i | \(-0.101968\pi\) |
−0.00618169 | + | 0.999981i | \(0.501968\pi\) | |||||||
\(720\) | −52.2631 | − | 160.849i | −0.00270518 | − | 0.00832569i | ||||
\(721\) | 2647.19 | + | 8147.22i | 0.136736 | + | 0.420830i | ||||
\(722\) | 7590.12 | + | 5514.54i | 0.391240 | + | 0.284252i | ||||
\(723\) | −3193.38 | + | 2320.13i | −0.164264 | + | 0.119345i | ||||
\(724\) | −1529.30 | + | 4706.71i | −0.0785030 | + | 0.241607i | ||||
\(725\) | −25580.0 | −1.31037 | ||||||||
\(726\) | −3639.93 | + | 7541.96i | −0.186075 | + | 0.385549i | ||||
\(727\) | −16477.2 | −0.840585 | −0.420293 | − | 0.907389i | \(-0.638073\pi\) | ||||
−0.420293 | + | 0.907389i | \(0.638073\pi\) | |||||||
\(728\) | −337.255 | + | 1037.96i | −0.0171697 | + | 0.0528428i | ||||
\(729\) | −9183.89 | + | 6672.49i | −0.466590 | + | 0.338997i | ||||
\(730\) | −82.5197 | − | 59.9541i | −0.00418383 | − | 0.00303973i | ||||
\(731\) | −13650.7 | − | 42012.5i | −0.690683 | − | 2.12570i | ||||
\(732\) | −1182.00 | − | 3637.82i | −0.0596829 | − | 0.183685i | ||||
\(733\) | 30799.8 | + | 22377.4i | 1.55200 | + | 1.12759i | 0.942206 | + | 0.335034i | \(0.108748\pi\) |
0.609794 | + | 0.792560i | \(0.291252\pi\) | |||||||
\(734\) | 15185.7 | − | 11033.0i | 0.763643 | − | 0.554819i | ||||
\(735\) | 148.396 | − | 456.716i | 0.00744717 | − | 0.0229200i | ||||
\(736\) | −2650.65 | −0.132750 | ||||||||
\(737\) | −1464.26 | + | 3645.86i | −0.0731841 | + | 0.182221i | ||||
\(738\) | 5771.56 | 0.287878 | ||||||||
\(739\) | −6023.10 | + | 18537.2i | −0.299815 | + | 0.922735i | 0.681747 | + | 0.731588i | \(0.261221\pi\) |
−0.981561 | + | 0.191147i | \(0.938779\pi\) | |||||||
\(740\) | 96.3506 | − | 70.0028i | 0.00478638 | − | 0.00347751i | ||||
\(741\) | −1649.94 | − | 1198.75i | −0.0817978 | − | 0.0594296i | ||||
\(742\) | 3402.24 | + | 10471.0i | 0.168329 | + | 0.518063i | ||||
\(743\) | −5296.66 | − | 16301.5i | −0.261529 | − | 0.804902i | −0.992473 | − | 0.122465i | \(-0.960920\pi\) |
0.730944 | − | 0.682437i | \(-0.239080\pi\) | |||||||
\(744\) | −5912.31 | − | 4295.55i | −0.291338 | − | 0.211670i | ||||
\(745\) | 432.907 | − | 314.525i | 0.0212892 | − | 0.0154675i | ||||
\(746\) | −2806.10 | + | 8636.30i | −0.137719 | + | 0.423857i | ||||
\(747\) | −14222.5 | −0.696621 | ||||||||
\(748\) | −13515.0 | − | 11292.9i | −0.660637 | − | 0.552016i | ||||
\(749\) | −8477.45 | −0.413564 | ||||||||
\(750\) | 299.948 | − | 923.144i | 0.0146034 | − | 0.0449446i | ||||
\(751\) | −980.769 | + | 712.570i | −0.0476548 | + | 0.0346233i | −0.611358 | − | 0.791354i | \(-0.709376\pi\) |
0.563703 | + | 0.825978i | \(0.309376\pi\) | |||||||
\(752\) | 2873.35 | + | 2087.61i | 0.139336 | + | 0.101233i | ||||
\(753\) | −4906.95 | − | 15102.1i | −0.237476 | − | 0.730876i | ||||
\(754\) | 1766.30 | + | 5436.12i | 0.0853115 | + | 0.262562i | ||||
\(755\) | −803.738 | − | 583.950i | −0.0387431 | − | 0.0281485i | ||||
\(756\) | 4399.34 | − | 3196.31i | 0.211643 | − | 0.153768i | ||||
\(757\) | 8417.09 | − | 25905.1i | 0.404127 | − | 1.24378i | −0.517495 | − | 0.855686i | \(-0.673135\pi\) |
0.921622 | − | 0.388089i | \(-0.126865\pi\) | |||||||
\(758\) | 831.913 | 0.0398634 | ||||||||
\(759\) | −2318.98 | − | 9219.67i | −0.110901 | − | 0.440913i | ||||
\(760\) | −230.217 | −0.0109879 | ||||||||
\(761\) | 4973.21 | − | 15306.0i | 0.236897 | − | 0.729095i | −0.759967 | − | 0.649962i | \(-0.774785\pi\) |
0.996864 | − | 0.0791328i | \(-0.0252151\pi\) | |||||||
\(762\) | 4191.08 | − | 3045.00i | 0.199248 | − | 0.144762i | ||||
\(763\) | −14681.6 | − | 10666.8i | −0.696604 | − | 0.506113i | ||||
\(764\) | 4716.37 | + | 14515.5i | 0.223341 | + | 0.687373i | ||||
\(765\) | 394.217 | + | 1213.28i | 0.0186313 | + | 0.0573413i | ||||
\(766\) | 1056.22 | + | 767.387i | 0.0498207 | + | 0.0361969i | ||||
\(767\) | −4629.79 | + | 3363.74i | −0.217956 | + | 0.158354i | ||||
\(768\) | −248.867 | + | 765.933i | −0.0116930 | + | 0.0359873i | ||||
\(769\) | 4026.65 | 0.188823 | 0.0944113 | − | 0.995533i | \(-0.469903\pi\) | ||||
0.0944113 | + | 0.995533i | \(0.469903\pi\) | |||||||
\(770\) | −374.234 | + | 234.925i | −0.0175149 | + | 0.0109949i | ||||
\(771\) | 16781.2 | 0.783864 | ||||||||
\(772\) | −5817.86 | + | 17905.5i | −0.271230 | + | 0.834759i | ||||
\(773\) | 16588.2 | − | 12052.0i | 0.771845 | − | 0.560778i | −0.130675 | − | 0.991425i | \(-0.541715\pi\) |
0.902520 | + | 0.430647i | \(0.141715\pi\) | |||||||
\(774\) | 10129.3 | + | 7359.39i | 0.470402 | + | 0.341767i | ||||
\(775\) | 11182.2 | + | 34415.4i | 0.518293 | + | 1.59514i | ||||
\(776\) | 956.698 | + | 2944.41i | 0.0442570 | + | 0.136209i | ||||
\(777\) | 1201.38 | + | 872.855i | 0.0554689 | + | 0.0403005i | ||||
\(778\) | 716.599 | − | 520.640i | 0.0330223 | − | 0.0239921i | ||||
\(779\) | 2427.73 | − | 7471.78i | 0.111659 | − | 0.343651i | ||||
\(780\) | −108.280 | −0.00497058 | ||||||||
\(781\) | −2527.81 | − | 171.510i | −0.115816 | − | 0.00785802i | ||||
\(782\) | 19993.7 | 0.914287 | ||||||||
\(783\) | 8800.72 | − | 27085.8i | 0.401676 | − | 1.23623i | ||||
\(784\) | 3197.13 | − | 2322.85i | 0.145642 | − | 0.105815i | ||||
\(785\) | −1479.52 | − | 1074.93i | −0.0672692 | − | 0.0488740i | ||||
\(786\) | 609.496 | + | 1875.84i | 0.0276590 | + | 0.0851258i | ||||
\(787\) | −7419.80 | − | 22835.8i | −0.336070 | − | 1.03432i | −0.966192 | − | 0.257822i | \(-0.916995\pi\) |
0.630122 | − | 0.776496i | \(-0.283005\pi\) | |||||||
\(788\) | −9042.37 | − | 6569.67i | −0.408783 | − | 0.296998i | ||||
\(789\) | 1842.90 | − | 1338.94i | 0.0831545 | − | 0.0604153i | ||||
\(790\) | 483.525 | − | 1488.14i | 0.0217760 | − | 0.0670196i | ||||
\(791\) | 3098.20 | 0.139266 | ||||||||
\(792\) | 4980.38 | + | 337.914i | 0.223447 | + | 0.0151607i | ||||
\(793\) | 4232.16 | 0.189519 | ||||||||
\(794\) | 2173.39 | − | 6689.01i | 0.0971420 | − | 0.298972i | ||||
\(795\) | −883.717 | + | 642.058i | −0.0394242 | + | 0.0286433i | ||||
\(796\) | 13554.9 | + | 9848.23i | 0.603570 | + | 0.438519i | ||||
\(797\) | −4679.60 | − | 14402.3i | −0.207980 | − | 0.640097i | −0.999578 | − | 0.0290543i | \(-0.990750\pi\) |
0.791598 | − | 0.611043i | \(-0.209250\pi\) | |||||||
\(798\) | −887.045 | − | 2730.04i | −0.0393497 | − | 0.121106i | ||||
\(799\) | −21673.5 | − | 15746.7i | −0.959641 | − | 0.697220i | ||||
\(800\) | 3226.18 | − | 2343.96i | 0.142578 | − | 0.103589i | ||||
\(801\) | −7837.72 | + | 24122.0i | −0.345733 | + | 1.06406i | ||||
\(802\) | 8930.39 | 0.393196 | ||||||||
\(803\) | 2549.79 | − | 1600.63i | 0.112055 | − | 0.0703424i | ||||
\(804\) | −1355.15 | −0.0594434 | ||||||||
\(805\) | 155.007 | − | 477.062i | 0.00678668 | − | 0.0208873i | ||||
\(806\) | 6541.62 | − | 4752.76i | 0.285879 | − | 0.207703i | ||||
\(807\) | 10279.5 | + | 7468.49i | 0.448396 | + | 0.325779i | ||||
\(808\) | −2695.31 | − | 8295.31i | −0.117352 | − | 0.361173i | ||||
\(809\) | 8952.81 | + | 27553.9i | 0.389078 | + | 1.19746i | 0.933478 | + | 0.358634i | \(0.116757\pi\) |
−0.544400 | + | 0.838825i | \(0.683243\pi\) | |||||||
\(810\) | −25.3135 | − | 18.3914i | −0.00109806 | − | 0.000797786i | ||||
\(811\) | 27000.7 | − | 19617.2i | 1.16908 | − | 0.849385i | 0.178180 | − | 0.983998i | \(-0.442979\pi\) |
0.990898 | + | 0.134612i | \(0.0429789\pi\) | |||||||
\(812\) | −2486.09 | + | 7651.39i | −0.107444 | + | 0.330679i | ||||
\(813\) | 7619.34 | 0.328686 | ||||||||
\(814\) | 857.442 | + | 3408.97i | 0.0369206 | + | 0.146787i | ||||
\(815\) | −1501.84 | −0.0645486 | ||||||||
\(816\) | 1877.19 | − | 5777.38i | 0.0805326 | − | 0.247854i | ||||
\(817\) | 13788.1 | − | 10017.6i | 0.590434 | − | 0.428975i | ||||
\(818\) | −8877.57 | − | 6449.94i | −0.379459 | − | 0.275693i | ||||
\(819\) | 721.023 | + | 2219.08i | 0.0307626 | + | 0.0946776i | ||||
\(820\) | −128.895 | − | 396.700i | −0.00548930 | − | 0.0168943i | ||||
\(821\) | −25870.7 | − | 18796.1i | −1.09975 | − | 0.799014i | −0.118729 | − | 0.992927i | \(-0.537882\pi\) |
−0.981019 | + | 0.193913i | \(0.937882\pi\) | |||||||
\(822\) | −9549.89 | + | 6938.40i | −0.405220 | + | 0.294409i | ||||
\(823\) | 821.815 | − | 2529.29i | 0.0348076 | − | 0.107127i | −0.932143 | − | 0.362090i | \(-0.882063\pi\) |
0.966951 | + | 0.254963i | \(0.0820633\pi\) | |||||||
\(824\) | −6994.21 | −0.295698 | ||||||||
\(825\) | 10975.4 | + | 9170.85i | 0.463169 | + | 0.387016i | ||||
\(826\) | −8054.82 | −0.339301 | ||||||||
\(827\) | −12358.8 | + | 38036.6i | −0.519660 | + | 1.59935i | 0.254981 | + | 0.966946i | \(0.417931\pi\) |
−0.774641 | + | 0.632402i | \(0.782069\pi\) | |||||||
\(828\) | −4584.59 | + | 3330.90i | −0.192422 | + | 0.139803i | ||||
\(829\) | −749.222 | − | 544.342i | −0.0313891 | − | 0.0228055i | 0.571980 | − | 0.820268i | \(-0.306175\pi\) |
−0.603369 | + | 0.797462i | \(0.706175\pi\) | |||||||
\(830\) | 317.630 | + | 977.565i | 0.0132833 | + | 0.0408816i | ||||
\(831\) | −4265.51 | − | 13127.9i | −0.178061 | − | 0.548016i | ||||
\(832\) | −720.892 | − | 523.758i | −0.0300390 | − | 0.0218246i | ||||
\(833\) | −24115.7 | + | 17521.1i | −1.00307 | + | 0.728776i | ||||
\(834\) | 1655.25 | − | 5094.33i | 0.0687249 | − | 0.211514i | ||||
\(835\) | −697.029 | −0.0288882 | ||||||||
\(836\) | 2532.38 | − | 6305.38i | 0.104766 | − | 0.260857i | ||||
\(837\) | −40288.5 | −1.66377 | ||||||||
\(838\) | −3172.85 | + | 9765.02i | −0.130793 | + | 0.402538i | ||||
\(839\) | −16532.6 | + | 12011.6i | −0.680295 | + | 0.494263i | −0.873455 | − | 0.486904i | \(-0.838126\pi\) |
0.193161 | + | 0.981167i | \(0.438126\pi\) | |||||||
\(840\) | −123.299 | − | 89.5818i | −0.00506454 | − | 0.00367960i | ||||
\(841\) | 5483.73 | + | 16877.2i | 0.224844 | + | 0.691999i | ||||
\(842\) | −3720.20 | − | 11449.6i | −0.152264 | − | 0.468621i | ||||
\(843\) | 110.476 | + | 80.2658i | 0.00451365 | + | 0.00327936i | ||||
\(844\) | −2719.69 | + | 1975.97i | −0.110919 | + | 0.0805872i | ||||
\(845\) | −382.568 | + | 1177.42i | −0.0155748 | + | 0.0479344i | ||||
\(846\) | 7593.15 | 0.308579 | ||||||||
\(847\) | −2317.75 | − | 12834.0i | −0.0940247 | − | 0.520640i | ||||
\(848\) | −8989.15 | −0.364019 | ||||||||
\(849\) | −1723.97 | + | 5305.83i | −0.0696896 | + | 0.214482i | ||||
\(850\) | −24334.9 | + | 17680.3i | −0.981975 | + | 0.713446i | ||||
\(851\) | −3228.38 | − | 2345.56i | −0.130044 | − | 0.0944825i | ||||
\(852\) | −270.048 | − | 831.121i | −0.0108588 | − | 0.0334199i | ||||
\(853\) | 12290.0 | + | 37824.8i | 0.493320 | + | 1.51828i | 0.819558 | + | 0.572996i | \(0.194219\pi\) |
−0.326238 | + | 0.945288i | \(0.605781\pi\) | |||||||
\(854\) | 4819.16 | + | 3501.33i | 0.193101 | + | 0.140296i | ||||
\(855\) | −398.185 | + | 289.298i | −0.0159271 | + | 0.0115717i | ||||
\(856\) | 2138.87 | − | 6582.76i | 0.0854030 | − | 0.262843i | ||||
\(857\) | 3490.30 | 0.139121 | 0.0695604 | − | 0.997578i | \(-0.477840\pi\) | ||||
0.0695604 | + | 0.997578i | \(0.477840\pi\) | |||||||
\(858\) | 1191.08 | − | 2965.68i | 0.0473927 | − | 0.118003i | ||||
\(859\) | 2730.16 | 0.108442 | 0.0542210 | − | 0.998529i | \(-0.482732\pi\) | ||||
0.0542210 | + | 0.998529i | \(0.482732\pi\) | |||||||
\(860\) | 279.619 | − | 860.579i | 0.0110871 | − | 0.0341227i | ||||
\(861\) | 4207.65 | − | 3057.03i | 0.166546 | − | 0.121003i | ||||
\(862\) | −21329.2 | − | 15496.6i | −0.842780 | − | 0.612315i | ||||
\(863\) | −6176.75 | − | 19010.1i | −0.243637 | − | 0.749838i | −0.995858 | − | 0.0909265i | \(-0.971017\pi\) |
0.752220 | − | 0.658912i | \(-0.228983\pi\) | |||||||
\(864\) | 1371.98 | + | 4222.53i | 0.0540229 | + | 0.166265i | ||||
\(865\) | 1333.33 | + | 968.722i | 0.0524100 | + | 0.0380781i | ||||
\(866\) | 5966.23 | − | 4334.72i | 0.234112 | − | 0.170092i | ||||
\(867\) | −9383.38 | + | 28879.1i | −0.367562 | + | 1.13124i | ||||
\(868\) | 11381.0 | 0.445040 | ||||||||
\(869\) | 35439.6 | + | 29612.7i | 1.38344 | + | 1.15597i | ||||
\(870\) | −798.191 | −0.0311048 | ||||||||
\(871\) | 463.338 | − | 1426.01i | 0.0180248 | − | 0.0554747i | ||||
\(872\) | 11987.0 | − | 8709.03i | 0.465516 | − | 0.338217i | ||||
\(873\) | 5354.77 | + | 3890.47i | 0.207596 | + | 0.150828i | ||||
\(874\) | 2383.69 | + | 7336.23i | 0.0922533 | + | 0.283927i | ||||
\(875\) | 467.116 | + | 1437.64i | 0.0180473 | + | 0.0555439i | ||||
\(876\) | 840.079 | + | 610.353i | 0.0324014 | + | 0.0235410i | ||||
\(877\) | 5058.17 | − | 3674.97i | 0.194757 | − | 0.141499i | −0.486133 | − | 0.873885i | \(-0.661593\pi\) |
0.680890 | + | 0.732385i | \(0.261593\pi\) | |||||||
\(878\) | −6601.10 | + | 20316.1i | −0.253732 | + | 0.780906i | ||||
\(879\) | 6621.80 | 0.254093 | ||||||||
\(880\) | −88.0000 | − | 349.865i | −0.00337100 | − | 0.0134022i | ||||
\(881\) | −22948.7 | −0.877595 | −0.438797 | − | 0.898586i | \(-0.644595\pi\) | ||||
−0.438797 | + | 0.898586i | \(0.644595\pi\) | |||||||
\(882\) | 2610.81 | − | 8035.25i | 0.0996719 | − | 0.306759i | ||||
\(883\) | 23437.3 | − | 17028.2i | 0.893238 | − | 0.648975i | −0.0434821 | − | 0.999054i | \(-0.513845\pi\) |
0.936720 | + | 0.350079i | \(0.113845\pi\) | |||||||
\(884\) | 5437.64 | + | 3950.67i | 0.206886 | + | 0.150312i | ||||
\(885\) | −246.951 | − | 760.037i | −0.00937985 | − | 0.0288682i | ||||
\(886\) | −7445.88 | − | 22916.1i | −0.282336 | − | 0.868939i | ||||
\(887\) | −6849.58 | − | 4976.51i | −0.259286 | − | 0.188382i | 0.450546 | − | 0.892753i | \(-0.351229\pi\) |
−0.709832 | + | 0.704371i | \(0.751229\pi\) | |||||||
\(888\) | −980.882 | + | 712.653i | −0.0370678 | + | 0.0269314i | ||||
\(889\) | −2493.05 | + | 7672.81i | −0.0940541 | + | 0.289469i | ||||
\(890\) | 1833.03 | 0.0690374 | ||||||||
\(891\) | 782.168 | − | 491.004i | 0.0294092 | − | 0.0184616i | ||||
\(892\) | −20825.9 | −0.781728 | ||||||||
\(893\) | 3193.95 | − | 9829.97i | 0.119688 | − | 0.368362i | ||||
\(894\) | −4407.14 | + | 3201.97i | −0.164873 | + | 0.119788i | ||||
\(895\) | 147.056 | + | 106.842i | 0.00549222 | + | 0.00399033i | ||||
\(896\) | −387.567 | − | 1192.81i | −0.0144505 | − | 0.0444742i | ||||
\(897\) | 1121.15 | + | 3450.53i | 0.0417324 | + | 0.128439i | ||||
\(898\) | −10161.5 | − | 7382.80i | −0.377612 | − | 0.274351i | ||||
\(899\) | 48221.7 | − | 35035.1i | 1.78897 | − | 1.29976i | ||||
\(900\) | 2634.53 | − | 8108.26i | 0.0975753 | − | 0.300306i | ||||
\(901\) | 67804.5 | 2.50710 | ||||||||
\(902\) | 12283.0 | + | 833.392i | 0.453414 | + | 0.0307638i | ||||
\(903\) | 11282.6 | 0.415795 | ||||||||
\(904\) | −781.678 | + | 2405.76i | −0.0287591 | + | 0.0885114i | ||||
\(905\) | 618.617 | − | 449.451i | 0.0227221 | − | 0.0165086i | ||||
\(906\) | 8182.33 | + | 5944.81i | 0.300044 | + | 0.217995i | ||||
\(907\) | −5947.88 | − | 18305.7i | −0.217746 | − | 0.670155i | −0.998947 | − | 0.0458748i | \(-0.985392\pi\) |
0.781201 | − | 0.624280i | \(-0.214608\pi\) | |||||||
\(908\) | 1133.64 | + | 3488.98i | 0.0414329 | + | 0.127517i | ||||
\(909\) | −15086.0 | − | 10960.6i | −0.550463 | − | 0.399935i | ||||
\(910\) | 136.423 | − | 99.1168i | 0.00496963 | − | 0.00361065i | ||||
\(911\) | −14273.8 | + | 43930.1i | −0.519112 | + | 1.59766i | 0.256562 | + | 0.966528i | \(0.417410\pi\) |
−0.775674 | + | 0.631134i | \(0.782590\pi\) | |||||||
\(912\) | 2343.68 | 0.0850955 | ||||||||
\(913\) | −30268.3 | − | 2053.68i | −1.09719 | − | 0.0744435i | ||||
\(914\) | −15510.8 | −0.561324 | ||||||||
\(915\) | −182.629 | + | 562.074i | −0.00659838 | + | 0.0203077i | ||||
\(916\) | 16372.1 | − | 11895.0i | 0.590556 | − | 0.429064i | ||||
\(917\) | −2485.00 | − | 1805.45i | −0.0894894 | − | 0.0650178i | ||||
\(918\) | −10348.8 | − | 31850.2i | −0.372070 | − | 1.14511i | ||||
\(919\) | −15399.0 | − | 47393.1i | −0.552736 | − | 1.70115i | −0.701848 | − | 0.712327i | \(-0.747641\pi\) |
0.149111 | − | 0.988820i | \(-0.452359\pi\) | |||||||
\(920\) | 331.331 | + | 240.726i | 0.0118736 | + | 0.00862664i | ||||
\(921\) | −19521.5 | + | 14183.2i | −0.698430 | + | 0.507439i | ||||
\(922\) | 3568.93 | − | 10984.1i | 0.127480 | − | 0.392343i | ||||
\(923\) | 966.910 | 0.0344813 | ||||||||
\(924\) | 3809.83 | − | 2391.61i | 0.135643 | − | 0.0851497i | ||||
\(925\) | 6003.51 | 0.213399 | ||||||||
\(926\) | −6183.85 | + | 19031.9i | −0.219454 | + | 0.675409i | ||||
\(927\) | −12097.3 | + | 8789.18i | −0.428615 | + | 0.311407i | ||||
\(928\) | −5314.07 | − | 3860.90i | −0.187977 | − | 0.136574i | ||||
\(929\) | 9988.82 | + | 30742.4i | 0.352769 | + | 1.08571i | 0.957292 | + | 0.289124i | \(0.0933638\pi\) |
−0.604523 | + | 0.796588i | \(0.706636\pi\) | |||||||
\(930\) | 348.927 | + | 1073.89i | 0.0123030 | + | 0.0378646i | ||||
\(931\) | −9304.11 | − | 6759.83i | −0.327529 | − | 0.237964i | ||||
\(932\) | 16002.5 | − | 11626.5i | 0.562426 | − | 0.408626i | ||||
\(933\) | −4655.74 | + | 14328.9i | −0.163368 | + | 0.502794i | ||||
\(934\) | 2428.32 | 0.0850717 | ||||||||
\(935\) | 663.778 | + | 2639.01i | 0.0232170 | + | 0.0923046i | ||||
\(936\) | −1905.03 | −0.0665257 | ||||||||
\(937\) | 3858.70 | − | 11875.9i | 0.134534 | − | 0.414053i | −0.860983 | − | 0.508633i | \(-0.830151\pi\) |
0.995517 | + | 0.0945803i | \(0.0301509\pi\) | |||||||
\(938\) | 1707.36 | − | 1240.47i | 0.0594320 | − | 0.0431799i | ||||
\(939\) | −10174.5 | − | 7392.19i | −0.353601 | − | 0.256906i | ||||
\(940\) | −169.577 | − | 521.903i | −0.00588402 | − | 0.0181092i | ||||
\(941\) | −9013.72 | − | 27741.4i | −0.312263 | − | 0.961045i | −0.976867 | − | 0.213850i | \(-0.931400\pi\) |
0.664604 | − | 0.747196i | \(-0.268600\pi\) | |||||||
\(942\) | 15062.0 | + | 10943.2i | 0.520963 | + | 0.378502i | ||||
\(943\) | −11306.9 | + | 8214.93i | −0.390459 | + | 0.283685i | ||||
\(944\) | 2032.24 | − | 6254.58i | 0.0700674 | − | 0.215645i | ||||
\(945\) | −840.199 | −0.0289224 | ||||||||
\(946\) | 20494.5 | + | 17124.8i | 0.704370 | + | 0.588558i | ||||
\(947\) | 41085.7 | 1.40983 | 0.704913 | − | 0.709294i | \(-0.250986\pi\) | ||||
0.704913 | + | 0.709294i | \(0.250986\pi\) | |||||||
\(948\) | −4922.45 | + | 15149.7i | −0.168643 | + | 0.519030i | ||||
\(949\) | −929.497 | + | 675.319i | −0.0317942 | + | 0.0230999i | ||||
\(950\) | −9388.65 | − | 6821.25i | −0.320640 | − | 0.232959i | ||||
\(951\) | −6468.45 | − | 19907.8i | −0.220561 | − | 0.678818i | ||||
\(952\) | 2923.39 | + | 8997.27i | 0.0995248 | + | 0.306306i | ||||
\(953\) | 14095.2 | + | 10240.7i | 0.479105 | + | 0.348090i | 0.800979 | − | 0.598692i | \(-0.204313\pi\) |
−0.321874 | + | 0.946782i | \(0.604313\pi\) | |||||||
\(954\) | −15547.7 | + | 11296.1i | −0.527648 | + | 0.383359i | ||||
\(955\) | 728.720 | − | 2242.77i | 0.0246920 | − | 0.0759940i | ||||
\(956\) | 1172.31 | 0.0396602 | ||||||||
\(957\) | 8780.10 | − | 21861.6i | 0.296573 | − | 0.738437i | ||||
\(958\) | −18296.1 | −0.617037 | ||||||||
\(959\) | 5680.71 | − | 17483.4i | 0.191282 | − | 0.588706i | ||||
\(960\) | 100.669 | − | 73.1401i | 0.00338445 | − | 0.00245894i | ||||
\(961\) | −44114.8 | − | 32051.3i | −1.48081 | − | 1.07587i | ||||
\(962\) | −414.543 | − | 1275.83i | −0.0138933 | − | 0.0427593i | ||||
\(963\) | −4572.72 | − | 14073.4i | −0.153015 | − | 0.470933i | ||||
\(964\) | 4060.37 | + | 2950.03i | 0.135660 | + | 0.0985624i | ||||
\(965\) | 2353.37 | − | 1709.82i | 0.0785054 | − | 0.0570375i | ||||
\(966\) | −1578.02 | + | 4856.66i | −0.0525591 | + | 0.161760i | ||||
\(967\) | 39352.0 | 1.30866 | 0.654330 | − | 0.756209i | \(-0.272951\pi\) | ||||
0.654330 | + | 0.756209i | \(0.272951\pi\) | |||||||
\(968\) | 10550.4 | + | 1438.29i | 0.350313 | + | 0.0477567i | ||||
\(969\) | −17678.3 | −0.586076 | ||||||||
\(970\) | 147.818 | − | 454.937i | 0.00489294 | − | 0.0150589i | ||||
\(971\) | −12674.3 | + | 9208.40i | −0.418885 | + | 0.304338i | −0.777189 | − | 0.629267i | \(-0.783355\pi\) |
0.358304 | + | 0.933605i | \(0.383355\pi\) | |||||||
\(972\) | 12380.3 | + | 8994.85i | 0.408539 | + | 0.296821i | ||||
\(973\) | 2577.76 | + | 7933.53i | 0.0849324 | + | 0.261395i | ||||
\(974\) | −2040.62 | − | 6280.37i | −0.0671310 | − | 0.206608i | ||||
\(975\) | −4415.86 | − | 3208.31i | −0.145047 | − | 0.105383i | ||||
\(976\) | −3934.66 | + | 2858.70i | −0.129042 | + | 0.0937549i | ||||
\(977\) | −15281.8 | + | 47032.4i | −0.500417 | + | 1.54012i | 0.307925 | + | 0.951411i | \(0.400365\pi\) |
−0.808342 | + | 0.588714i | \(0.799635\pi\) | |||||||
\(978\) | 15289.2 | 0.499893 | ||||||||
\(979\) | −20163.3 | + | 50204.6i | −0.658246 | + | 1.63897i | ||||
\(980\) | −610.597 | −0.0199029 | ||||||||
\(981\) | 9788.68 | − | 30126.5i | 0.318582 | − | 0.980493i | ||||
\(982\) | −6384.63 | + | 4638.70i | −0.207476 | + | 0.150740i | ||||
\(983\) | 40813.4 | + | 29652.7i | 1.32426 | + | 0.962130i | 0.999869 | + | 0.0162067i | \(0.00515899\pi\) |
0.324390 | + | 0.945923i | \(0.394841\pi\) | |||||||
\(984\) | 1312.20 | + | 4038.54i | 0.0425116 | + | 0.130837i | ||||
\(985\) | 533.653 | + | 1642.42i | 0.0172626 | + | 0.0531287i | ||||
\(986\) | 40083.7 | + | 29122.5i | 1.29465 | + | 0.940618i | ||||
\(987\) | 5535.64 | − | 4021.88i | 0.178522 | − | 0.129704i | ||||
\(988\) | −801.326 | + | 2466.23i | −0.0258032 | + | 0.0794141i | ||||
\(989\) | −30319.0 | −0.974811 | ||||||||
\(990\) | −591.859 | − | 494.546i | −0.0190005 | − | 0.0158765i | ||||
\(991\) | −37174.1 | −1.19160 | −0.595799 | − | 0.803134i | \(-0.703164\pi\) | ||||
−0.595799 | + | 0.803134i | \(0.703164\pi\) | |||||||
\(992\) | −2871.42 | + | 8837.33i | −0.0919030 | + | 0.282848i | ||||
\(993\) | 26109.1 | − | 18969.4i | 0.834389 | − | 0.606219i | ||||
\(994\) | 1101.02 | + | 799.938i | 0.0351330 | + | 0.0255256i | ||||
\(995\) | −799.971 | − | 2462.06i | −0.0254882 | − | 0.0784447i | ||||
\(996\) | −3233.58 | − | 9951.94i | −0.102871 | − | 0.316606i | ||||
\(997\) | −31032.6 | − | 22546.5i | −0.985770 | − | 0.716204i | −0.0267790 | − | 0.999641i | \(-0.508525\pi\) |
−0.958991 | + | 0.283438i | \(0.908525\pi\) | |||||||
\(998\) | −16853.8 | + | 12245.0i | −0.534565 | + | 0.388385i | ||||
\(999\) | −2065.49 | + | 6356.92i | −0.0654146 | + | 0.201325i |
(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 | 22.4.c.a.9.1 | yes | 4 | |
3.2 | odd | 2 | 198.4.f.b.163.1 | 4 | |||
4.3 | odd | 2 | 176.4.m.a.97.1 | 4 | |||
11.2 | odd | 10 | 242.4.c.m.3.1 | 4 | |||
11.3 | even | 5 | 242.4.c.f.81.1 | 4 | |||
11.4 | even | 5 | 242.4.a.k.1.2 | 2 | |||
11.5 | even | 5 | inner | 22.4.c.a.5.1 | ✓ | 4 | |
11.6 | odd | 10 | 242.4.c.j.27.1 | 4 | |||
11.7 | odd | 10 | 242.4.a.h.1.2 | 2 | |||
11.8 | odd | 10 | 242.4.c.m.81.1 | 4 | |||
11.9 | even | 5 | 242.4.c.f.3.1 | 4 | |||
11.10 | odd | 2 | 242.4.c.j.9.1 | 4 | |||
33.5 | odd | 10 | 198.4.f.b.181.1 | 4 | |||
33.26 | odd | 10 | 2178.4.a.z.1.1 | 2 | |||
33.29 | even | 10 | 2178.4.a.bi.1.1 | 2 | |||
44.7 | even | 10 | 1936.4.a.bc.1.1 | 2 | |||
44.15 | odd | 10 | 1936.4.a.bb.1.1 | 2 | |||
44.27 | odd | 10 | 176.4.m.a.49.1 | 4 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
22.4.c.a.5.1 | ✓ | 4 | 11.5 | even | 5 | inner | |
22.4.c.a.9.1 | yes | 4 | 1.1 | even | 1 | trivial | |
176.4.m.a.49.1 | 4 | 44.27 | odd | 10 | |||
176.4.m.a.97.1 | 4 | 4.3 | odd | 2 | |||
198.4.f.b.163.1 | 4 | 3.2 | odd | 2 | |||
198.4.f.b.181.1 | 4 | 33.5 | odd | 10 | |||
242.4.a.h.1.2 | 2 | 11.7 | odd | 10 | |||
242.4.a.k.1.2 | 2 | 11.4 | even | 5 | |||
242.4.c.f.3.1 | 4 | 11.9 | even | 5 | |||
242.4.c.f.81.1 | 4 | 11.3 | even | 5 | |||
242.4.c.j.9.1 | 4 | 11.10 | odd | 2 | |||
242.4.c.j.27.1 | 4 | 11.6 | odd | 10 | |||
242.4.c.m.3.1 | 4 | 11.2 | odd | 10 | |||
242.4.c.m.81.1 | 4 | 11.8 | odd | 10 | |||
1936.4.a.bb.1.1 | 2 | 44.15 | odd | 10 | |||
1936.4.a.bc.1.1 | 2 | 44.7 | even | 10 | |||
2178.4.a.z.1.1 | 2 | 33.26 | odd | 10 | |||
2178.4.a.bi.1.1 | 2 | 33.29 | even | 10 |