Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [143,4,Mod(2,143)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(143, base_ring=CyclotomicField(60))
chi = DirichletCharacter(H, H._module([6, 5]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("143.2");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 143 = 11 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 143.w (of order \(60\), degree \(16\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(8.43727313082\) |
Analytic rank: | \(0\) |
Dimension: | \(640\) |
Relative dimension: | \(40\) over \(\Q(\zeta_{60})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{60}]$ |
Embedding invariants
Embedding label | 2.14 | ||
Character | \(\chi\) | \(=\) | 143.2 |
Dual form | 143.4.w.a.72.14 |
$q$-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 \(\left(\mathbb{Z}/143\mathbb{Z}\right)^\times\).
\(n\) | \(67\) | \(79\) |
\(\chi(n)\) | \(e\left(\frac{1}{12}\right)\) | \(e\left(\frac{1}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.60685 | − | 1.04350i | −0.568108 | − | 0.368934i | 0.228395 | − | 0.973569i | \(-0.426652\pi\) |
−0.796503 | + | 0.604635i | \(0.793319\pi\) | |||||||
\(3\) | 8.46099 | + | 3.76707i | 1.62832 | + | 0.724974i | 0.998653 | − | 0.0518933i | \(-0.0165256\pi\) |
0.629665 | + | 0.776867i | \(0.283192\pi\) | |||||||
\(4\) | −1.76082 | − | 3.95486i | −0.220102 | − | 0.494357i | ||||
\(5\) | 14.7384 | + | 7.50959i | 1.31824 | + | 0.671679i | 0.964604 | − | 0.263703i | \(-0.0849439\pi\) |
0.353640 | + | 0.935382i | \(0.384944\pi\) | |||||||
\(6\) | −9.66460 | − | 14.8822i | −0.657593 | − | 1.01260i | ||||
\(7\) | 4.46294 | − | 11.6264i | 0.240976 | − | 0.627764i | −0.758745 | − | 0.651388i | \(-0.774187\pi\) |
0.999721 | + | 0.0236237i | \(0.00752036\pi\) | |||||||
\(8\) | −3.69530 | + | 23.3312i | −0.163311 | + | 1.03110i | ||||
\(9\) | 39.3309 | + | 43.6814i | 1.45670 | + | 1.61783i | ||||
\(10\) | −15.8462 | − | 27.4464i | −0.501100 | − | 0.867930i | ||||
\(11\) | 24.0379 | − | 27.4441i | 0.658882 | − | 0.752247i | ||||
\(12\) | − | 40.0951i | − | 0.964539i | ||||||
\(13\) | −46.2381 | − | 7.68365i | −0.986472 | − | 0.163928i | ||||
\(14\) | −19.3034 | + | 14.0247i | −0.368504 | + | 0.267734i | ||||
\(15\) | 96.4123 | + | 119.059i | 1.65957 | + | 2.04940i | ||||
\(16\) | 7.10989 | − | 7.89633i | 0.111092 | − | 0.123380i | ||||
\(17\) | −7.16607 | − | 1.52319i | −0.102237 | − | 0.0217311i | 0.156509 | − | 0.987677i | \(-0.449976\pi\) |
−0.258746 | + | 0.965945i | \(0.583309\pi\) | |||||||
\(18\) | −17.6173 | − | 111.231i | −0.230691 | − | 1.45653i | ||||
\(19\) | −81.5077 | + | 100.654i | −0.984165 | + | 1.21534i | −0.00763330 | + | 0.999971i | \(0.502430\pi\) |
−0.976532 | + | 0.215372i | \(0.930904\pi\) | |||||||
\(20\) | 3.74775 | − | 71.5113i | 0.0419011 | − | 0.799521i | ||||
\(21\) | 81.5582 | − | 81.5582i | 0.847498 | − | 0.847498i | ||||
\(22\) | −67.2633 | + | 19.0151i | −0.651845 | + | 0.184274i | ||||
\(23\) | 112.571 | − | 64.9931i | 1.02055 | − | 0.589217i | 0.106290 | − | 0.994335i | \(-0.466103\pi\) |
0.914264 | + | 0.405118i | \(0.132770\pi\) | |||||||
\(24\) | −119.156 | + | 183.484i | −1.01344 | + | 1.56057i | ||||
\(25\) | 87.3536 | + | 120.232i | 0.698828 | + | 0.961855i | ||||
\(26\) | 66.2799 | + | 60.5960i | 0.499944 | + | 0.457071i | ||||
\(27\) | 90.9526 | + | 279.923i | 0.648290 | + | 1.99523i | ||||
\(28\) | −53.8390 | + | 2.82158i | −0.363379 | + | 0.0190439i | ||||
\(29\) | −18.4363 | − | 1.93773i | −0.118053 | − | 0.0124079i | 0.0453177 | − | 0.998973i | \(-0.485570\pi\) |
−0.163371 | + | 0.986565i | \(0.552237\pi\) | |||||||
\(30\) | −30.6817 | − | 291.917i | −0.186723 | − | 1.77655i | ||||
\(31\) | −67.2636 | − | 132.012i | −0.389707 | − | 0.764842i | 0.609912 | − | 0.792469i | \(-0.291205\pi\) |
−0.999618 | + | 0.0276271i | \(0.991205\pi\) | |||||||
\(32\) | 162.873 | − | 43.6416i | 0.899752 | − | 0.241088i | ||||
\(33\) | 306.768 | − | 141.652i | 1.61823 | − | 0.747225i | ||||
\(34\) | 9.92535 | + | 9.92535i | 0.0500642 | + | 0.0500642i | ||||
\(35\) | 153.086 | − | 137.839i | 0.739321 | − | 0.665688i | ||||
\(36\) | 103.499 | − | 232.463i | 0.479163 | − | 1.07622i | ||||
\(37\) | 226.062 | − | 183.062i | 1.00444 | − | 0.813382i | 0.0219651 | − | 0.999759i | \(-0.493008\pi\) |
0.982478 | + | 0.186376i | \(0.0596744\pi\) | |||||||
\(38\) | 236.003 | − | 76.6820i | 1.00749 | − | 0.327354i | ||||
\(39\) | −362.275 | − | 239.194i | −1.48745 | − | 0.982093i | ||||
\(40\) | −229.671 | + | 316.114i | −0.907853 | + | 1.24955i | ||||
\(41\) | 69.5596 | + | 181.209i | 0.264960 | + | 0.690246i | 0.999926 | + | 0.0121415i | \(0.00386485\pi\) |
−0.734966 | + | 0.678104i | \(0.762802\pi\) | |||||||
\(42\) | −216.158 | + | 45.9458i | −0.794141 | + | 0.168800i | ||||
\(43\) | 28.3425 | − | 49.0906i | 0.100516 | − | 0.174099i | −0.811381 | − | 0.584517i | \(-0.801284\pi\) |
0.911897 | + | 0.410418i | \(0.134617\pi\) | |||||||
\(44\) | −150.864 | − | 46.7424i | −0.516900 | − | 0.160152i | ||||
\(45\) | 251.645 | + | 939.154i | 0.833624 | + | 3.11113i | ||||
\(46\) | −248.706 | − | 13.0341i | −0.797167 | − | 0.0417777i | ||||
\(47\) | −407.498 | − | 64.5414i | −1.26467 | − | 0.200305i | −0.512166 | − | 0.858887i | \(-0.671157\pi\) |
−0.752509 | + | 0.658582i | \(0.771157\pi\) | |||||||
\(48\) | 89.9027 | − | 40.0273i | 0.270340 | − | 0.120363i | ||||
\(49\) | 139.644 | + | 125.736i | 0.407126 | + | 0.366578i | ||||
\(50\) | −14.9021 | − | 284.348i | −0.0421494 | − | 0.804259i | ||||
\(51\) | −54.8940 | − | 39.8828i | −0.150720 | − | 0.109504i | ||||
\(52\) | 51.0291 | + | 196.395i | 0.136086 | + | 0.523751i | ||||
\(53\) | −149.333 | + | 459.599i | −0.387027 | + | 1.19115i | 0.547972 | + | 0.836497i | \(0.315400\pi\) |
−0.934999 | + | 0.354651i | \(0.884600\pi\) | |||||||
\(54\) | 145.953 | − | 544.704i | 0.367809 | − | 1.37268i | ||||
\(55\) | 560.375 | − | 223.968i | 1.37383 | − | 0.549088i | ||||
\(56\) | 254.765 | + | 147.089i | 0.607935 | + | 0.350992i | ||||
\(57\) | −1068.80 | + | 544.583i | −2.48363 | + | 1.26547i | ||||
\(58\) | 27.6024 | + | 22.3520i | 0.0624892 | + | 0.0506027i | ||||
\(59\) | −706.546 | − | 271.217i | −1.55906 | − | 0.598466i | −0.582331 | − | 0.812952i | \(-0.697859\pi\) |
−0.976727 | + | 0.214486i | \(0.931192\pi\) | |||||||
\(60\) | 301.098 | − | 590.938i | 0.647860 | − | 1.27150i | ||||
\(61\) | 92.9995 | − | 437.528i | 0.195203 | − | 0.918356i | −0.766070 | − | 0.642757i | \(-0.777790\pi\) |
0.961273 | − | 0.275599i | \(-0.0888762\pi\) | |||||||
\(62\) | −29.6724 | + | 282.314i | −0.0607806 | + | 0.578289i | ||||
\(63\) | 683.387 | − | 262.328i | 1.36665 | − | 0.524606i | ||||
\(64\) | −388.096 | − | 126.100i | −0.758000 | − | 0.246289i | ||||
\(65\) | −623.775 | − | 460.474i | −1.19030 | − | 0.878689i | ||||
\(66\) | −640.745 | − | 92.4997i | −1.19500 | − | 0.172514i | ||||
\(67\) | −453.144 | − | 121.420i | −0.826274 | − | 0.221400i | −0.179187 | − | 0.983815i | \(-0.557347\pi\) |
−0.647088 | + | 0.762416i | \(0.724013\pi\) | |||||||
\(68\) | 6.59411 | + | 31.0228i | 0.0117596 | + | 0.0553246i | ||||
\(69\) | 1197.30 | − | 125.841i | 2.08895 | − | 0.219558i | ||||
\(70\) | −389.822 | + | 61.7417i | −0.665609 | + | 0.105422i | ||||
\(71\) | −818.992 | + | 531.860i | −1.36897 | + | 0.889016i | −0.999195 | − | 0.0401071i | \(-0.987230\pi\) |
−0.369770 | + | 0.929123i | \(0.620563\pi\) | |||||||
\(72\) | −1164.48 | + | 756.221i | −1.90604 | + | 1.23780i | ||||
\(73\) | −920.747 | + | 145.832i | −1.47624 | + | 0.233813i | −0.842064 | − | 0.539378i | \(-0.818659\pi\) |
−0.634173 | + | 0.773191i | \(0.718659\pi\) | |||||||
\(74\) | −554.274 | + | 58.2565i | −0.870716 | + | 0.0915160i | ||||
\(75\) | 286.175 | + | 1346.35i | 0.440595 | + | 2.07284i | ||||
\(76\) | 541.591 | + | 145.119i | 0.817431 | + | 0.219030i | ||||
\(77\) | −211.795 | − | 401.955i | −0.313459 | − | 0.594896i | ||||
\(78\) | 332.523 | + | 762.383i | 0.482703 | + | 1.10670i | ||||
\(79\) | 209.610 | + | 68.1063i | 0.298518 | + | 0.0969944i | 0.454447 | − | 0.890774i | \(-0.349837\pi\) |
−0.155929 | + | 0.987768i | \(0.549837\pi\) | |||||||
\(80\) | 164.087 | − | 62.9870i | 0.229318 | − | 0.0880270i | ||||
\(81\) | −119.053 | + | 1132.71i | −0.163309 | + | 1.55379i | ||||
\(82\) | 77.3199 | − | 363.761i | 0.104129 | − | 0.489887i | ||||
\(83\) | 558.647 | − | 1096.41i | 0.738789 | − | 1.44996i | −0.148582 | − | 0.988900i | \(-0.547471\pi\) |
0.887371 | − | 0.461055i | \(-0.152529\pi\) | |||||||
\(84\) | −466.160 | − | 178.942i | −0.605503 | − | 0.232431i | ||||
\(85\) | −94.1778 | − | 76.2637i | −0.120177 | − | 0.0973172i | ||||
\(86\) | −96.7682 | + | 49.3059i | −0.121335 | + | 0.0618231i | ||||
\(87\) | −148.690 | − | 85.8461i | −0.183232 | − | 0.105789i | ||||
\(88\) | 551.477 | + | 662.247i | 0.668041 | + | 0.802224i | ||||
\(89\) | −80.5566 | + | 300.641i | −0.0959436 | + | 0.358067i | −0.997161 | − | 0.0753012i | \(-0.976008\pi\) |
0.901217 | + | 0.433368i | \(0.142675\pi\) | |||||||
\(90\) | 575.651 | − | 1771.67i | 0.674211 | − | 2.07501i | ||||
\(91\) | −295.691 | + | 503.289i | −0.340624 | + | 0.579769i | ||||
\(92\) | −455.256 | − | 330.763i | −0.515910 | − | 0.374830i | ||||
\(93\) | −71.8165 | − | 1370.34i | −0.0800756 | − | 1.52793i | ||||
\(94\) | 587.440 | + | 528.933i | 0.644572 | + | 0.580376i | ||||
\(95\) | −1957.16 | + | 871.384i | −2.11369 | + | 0.941075i | ||||
\(96\) | 1542.46 | + | 244.302i | 1.63986 | + | 0.259729i | ||||
\(97\) | −202.038 | − | 10.5884i | −0.211483 | − | 0.0110834i | −0.0536997 | − | 0.998557i | \(-0.517101\pi\) |
−0.157783 | + | 0.987474i | \(0.550435\pi\) | |||||||
\(98\) | −93.1817 | − | 347.759i | −0.0960487 | − | 0.358459i | ||||
\(99\) | 2144.23 | − | 29.3936i | 2.17680 | − | 0.0298400i | ||||
\(100\) | 321.686 | − | 557.177i | 0.321686 | − | 0.557177i | ||||
\(101\) | 681.091 | − | 144.770i | 0.671001 | − | 0.142626i | 0.140201 | − | 0.990123i | \(-0.455225\pi\) |
0.530799 | + | 0.847497i | \(0.321892\pi\) | |||||||
\(102\) | 46.5887 | + | 121.368i | 0.0452252 | + | 0.117816i | ||||
\(103\) | −231.625 | + | 318.805i | −0.221580 | + | 0.304978i | −0.905306 | − | 0.424760i | \(-0.860358\pi\) |
0.683726 | + | 0.729739i | \(0.260358\pi\) | |||||||
\(104\) | 350.132 | − | 1050.40i | 0.330128 | − | 0.990383i | ||||
\(105\) | 1814.51 | − | 589.569i | 1.68646 | − | 0.547963i | ||||
\(106\) | 719.548 | − | 582.679i | 0.659328 | − | 0.533913i | ||||
\(107\) | 301.945 | − | 678.180i | 0.272805 | − | 0.612730i | −0.724240 | − | 0.689548i | \(-0.757809\pi\) |
0.997045 | + | 0.0768178i | \(0.0244760\pi\) | |||||||
\(108\) | 946.906 | − | 852.598i | 0.843667 | − | 0.759642i | ||||
\(109\) | −131.016 | − | 131.016i | −0.115129 | − | 0.115129i | 0.647196 | − | 0.762324i | \(-0.275942\pi\) |
−0.762324 | + | 0.647196i | \(0.775942\pi\) | |||||||
\(110\) | −1134.15 | − | 224.869i | −0.983063 | − | 0.194913i | ||||
\(111\) | 2602.32 | − | 697.289i | 2.22523 | − | 0.596250i | ||||
\(112\) | −60.0746 | − | 117.903i | −0.0506832 | − | 0.0994713i | ||||
\(113\) | 95.0138 | + | 903.996i | 0.0790987 | + | 0.752574i | 0.960137 | + | 0.279529i | \(0.0901783\pi\) |
−0.881039 | + | 0.473044i | \(0.843155\pi\) | |||||||
\(114\) | 2285.68 | + | 240.235i | 1.87784 | + | 0.197369i | ||||
\(115\) | 2147.19 | − | 112.530i | 1.74110 | − | 0.0912473i | ||||
\(116\) | 24.7995 | + | 76.3250i | 0.0198498 | + | 0.0610914i | ||||
\(117\) | −1482.95 | − | 2321.95i | −1.17179 | − | 1.83474i | ||||
\(118\) | 852.298 | + | 1173.09i | 0.664919 | + | 0.915182i | ||||
\(119\) | −49.6909 | + | 76.5173i | −0.0382787 | + | 0.0589440i | ||||
\(120\) | −3134.07 | + | 1809.45i | −2.38416 | + | 1.37650i | ||||
\(121\) | −175.360 | − | 1319.40i | −0.131750 | − | 0.991283i | ||||
\(122\) | −605.998 | + | 605.998i | −0.449709 | + | 0.449709i | ||||
\(123\) | −94.0846 | + | 1795.24i | −0.0689701 | + | 1.31603i | ||||
\(124\) | −403.651 | + | 498.468i | −0.292330 | + | 0.360998i | ||||
\(125\) | 61.1062 | + | 385.809i | 0.0437240 | + | 0.276063i | ||||
\(126\) | −1371.84 | − | 291.594i | −0.969947 | − | 0.206169i | ||||
\(127\) | −145.932 | + | 162.074i | −0.101964 | + | 0.113242i | −0.791967 | − | 0.610564i | \(-0.790943\pi\) |
0.690003 | + | 0.723807i | \(0.257609\pi\) | |||||||
\(128\) | −356.891 | − | 440.724i | −0.246445 | − | 0.304335i | ||||
\(129\) | 424.733 | − | 308.586i | 0.289889 | − | 0.210616i | ||||
\(130\) | 521.808 | + | 1390.82i | 0.352043 | + | 0.938333i | ||||
\(131\) | − | 365.736i | − | 0.243927i | −0.992535 | − | 0.121964i | \(-0.961081\pi\) | ||
0.992535 | − | 0.121964i | \(-0.0389191\pi\) | |||||||
\(132\) | −1100.38 | − | 963.802i | −0.725571 | − | 0.635517i | ||||
\(133\) | 806.471 | + | 1396.85i | 0.525789 | + | 0.910693i | ||||
\(134\) | 601.434 | + | 667.960i | 0.387731 | + | 0.430619i | ||||
\(135\) | −761.614 | + | 4808.64i | −0.485550 | + | 3.06564i | ||||
\(136\) | 62.0187 | − | 161.564i | 0.0391034 | − | 0.101868i | ||||
\(137\) | −275.945 | − | 424.918i | −0.172085 | − | 0.264987i | 0.742096 | − | 0.670293i | \(-0.233832\pi\) |
−0.914181 | + | 0.405306i | \(0.867165\pi\) | |||||||
\(138\) | −2055.20 | − | 1047.17i | −1.26775 | − | 0.645952i | ||||
\(139\) | 955.391 | + | 2145.84i | 0.582987 | + | 1.30941i | 0.928617 | + | 0.371040i | \(0.120999\pi\) |
−0.345630 | + | 0.938371i | \(0.612335\pi\) | |||||||
\(140\) | −814.690 | − | 362.724i | −0.491814 | − | 0.218970i | ||||
\(141\) | −3204.70 | − | 2081.16i | −1.91408 | − | 1.24302i | ||||
\(142\) | 1871.00 | 1.10571 | ||||||||
\(143\) | −1322.34 | + | 1084.27i | −0.773283 | + | 0.634062i | ||||
\(144\) | 624.561 | 0.361436 | ||||||||
\(145\) | −257.170 | − | 167.008i | −0.147288 | − | 0.0956503i | ||||
\(146\) | 1631.68 | + | 726.471i | 0.924923 | + | 0.411802i | ||||
\(147\) | 707.871 | + | 1589.90i | 0.397171 | + | 0.892061i | ||||
\(148\) | −1122.04 | − | 571.706i | −0.623182 | − | 0.317527i | ||||
\(149\) | −226.716 | − | 349.112i | −0.124653 | − | 0.191949i | 0.770834 | − | 0.637036i | \(-0.219840\pi\) |
−0.895488 | + | 0.445087i | \(0.853173\pi\) | |||||||
\(150\) | 945.075 | − | 2462.00i | 0.514434 | − | 1.34015i | ||||
\(151\) | 228.776 | − | 1444.44i | 0.123295 | − | 0.778454i | −0.846114 | − | 0.533002i | \(-0.821064\pi\) |
0.969409 | − | 0.245452i | \(-0.0789363\pi\) | |||||||
\(152\) | −2047.17 | − | 2273.62i | −1.09242 | − | 1.21325i | ||||
\(153\) | −215.313 | − | 372.932i | −0.113771 | − | 0.197057i | ||||
\(154\) | −79.1163 | + | 866.890i | −0.0413986 | + | 0.453611i | ||||
\(155\) | − | 2450.77i | − | 1.27001i | ||||||
\(156\) | −308.077 | + | 1853.92i | −0.158115 | + | 0.951491i | ||||
\(157\) | −705.841 | + | 512.823i | −0.358804 | + | 0.260686i | −0.752553 | − | 0.658532i | \(-0.771178\pi\) |
0.393749 | + | 0.919218i | \(0.371178\pi\) | |||||||
\(158\) | −265.743 | − | 328.165i | −0.133806 | − | 0.165237i | ||||
\(159\) | −2994.85 | + | 3326.11i | −1.49375 | + | 1.65898i | ||||
\(160\) | 2728.21 | + | 579.899i | 1.34803 | + | 0.286532i | ||||
\(161\) | −253.234 | − | 1598.85i | −0.123960 | − | 0.782655i | ||||
\(162\) | 1373.28 | − | 1695.86i | 0.666021 | − | 0.822467i | ||||
\(163\) | −68.9262 | + | 1315.19i | −0.0331209 | + | 0.631985i | 0.930757 | + | 0.365639i | \(0.119150\pi\) |
−0.963878 | + | 0.266346i | \(0.914184\pi\) | |||||||
\(164\) | 594.174 | − | 594.174i | 0.282910 | − | 0.282910i | ||||
\(165\) | 5585.02 | + | 215.983i | 2.63511 | + | 0.101905i | ||||
\(166\) | −2041.77 | + | 1178.81i | −0.954649 | + | 0.551167i | ||||
\(167\) | −426.316 | + | 656.468i | −0.197541 | + | 0.304186i | −0.923535 | − | 0.383515i | \(-0.874713\pi\) |
0.725994 | + | 0.687701i | \(0.241380\pi\) | |||||||
\(168\) | 1601.47 | + | 2204.23i | 0.735452 | + | 1.01226i | ||||
\(169\) | 2078.92 | + | 710.555i | 0.946255 | + | 0.323420i | ||||
\(170\) | 71.7485 | + | 220.819i | 0.0323698 | + | 0.0996239i | ||||
\(171\) | −7602.46 | + | 398.428i | −3.39985 | + | 0.178179i | ||||
\(172\) | −244.052 | − | 25.6509i | −0.108191 | − | 0.0113713i | ||||
\(173\) | −24.4439 | − | 232.568i | −0.0107424 | − | 0.102207i | 0.987837 | − | 0.155494i | \(-0.0496969\pi\) |
−0.998579 | + | 0.0532868i | \(0.983030\pi\) | |||||||
\(174\) | 149.342 | + | 293.100i | 0.0650665 | + | 0.127700i | ||||
\(175\) | 1787.71 | − | 479.016i | 0.772219 | − | 0.206915i | ||||
\(176\) | −45.8012 | − | 384.936i | −0.0196159 | − | 0.164862i | ||||
\(177\) | −4956.38 | − | 4956.38i | −2.10477 | − | 2.10477i | ||||
\(178\) | 443.162 | − | 399.025i | 0.186609 | − | 0.168024i | ||||
\(179\) | 1130.68 | − | 2539.55i | 0.472129 | − | 1.06042i | −0.507873 | − | 0.861432i | \(-0.669568\pi\) |
0.980002 | − | 0.198988i | \(-0.0637654\pi\) | |||||||
\(180\) | 3271.12 | − | 2648.90i | 1.35453 | − | 1.09687i | ||||
\(181\) | 173.314 | − | 56.3130i | 0.0711730 | − | 0.0231255i | −0.273214 | − | 0.961953i | \(-0.588087\pi\) |
0.344387 | + | 0.938828i | \(0.388087\pi\) | |||||||
\(182\) | 1000.31 | − | 500.157i | 0.407408 | − | 0.203704i | ||||
\(183\) | 2435.07 | − | 3351.58i | 0.983636 | − | 1.35386i | ||||
\(184\) | 1100.38 | + | 2866.59i | 0.440876 | + | 1.14852i | ||||
\(185\) | 4706.52 | − | 1000.40i | 1.87043 | − | 0.397573i | ||||
\(186\) | −1314.55 | + | 2276.88i | −0.518214 | + | 0.897573i | ||||
\(187\) | −214.060 | + | 160.052i | −0.0837091 | + | 0.0625891i | ||||
\(188\) | 462.277 | + | 1725.24i | 0.179335 | + | 0.669289i | ||||
\(189\) | 3660.40 | + | 191.834i | 1.40876 | + | 0.0738299i | ||||
\(190\) | 4054.16 | + | 642.116i | 1.54800 | + | 0.245179i | ||||
\(191\) | 1761.11 | − | 784.095i | 0.667169 | − | 0.297043i | −0.0450660 | − | 0.998984i | \(-0.514350\pi\) |
0.712235 | + | 0.701941i | \(0.247683\pi\) | |||||||
\(192\) | −2808.65 | − | 2528.92i | −1.05571 | − | 0.950567i | ||||
\(193\) | 86.0442 | + | 1641.82i | 0.0320912 | + | 0.612336i | 0.966583 | + | 0.256353i | \(0.0825208\pi\) |
−0.934492 | + | 0.355984i | \(0.884146\pi\) | |||||||
\(194\) | 313.596 | + | 227.841i | 0.116056 | + | 0.0843197i | ||||
\(195\) | −3543.11 | − | 6245.87i | −1.30117 | − | 2.29372i | ||||
\(196\) | 251.381 | − | 773.672i | 0.0916113 | − | 0.281950i | ||||
\(197\) | −1147.53 | + | 4282.64i | −0.415016 | + | 1.54886i | 0.369789 | + | 0.929116i | \(0.379430\pi\) |
−0.784804 | + | 0.619743i | \(0.787237\pi\) | |||||||
\(198\) | −3476.13 | − | 2190.28i | −1.24767 | − | 0.786142i | ||||
\(199\) | 1084.09 | + | 625.899i | 0.386176 | + | 0.222959i | 0.680502 | − | 0.732746i | \(-0.261762\pi\) |
−0.294326 | + | 0.955705i | \(0.595095\pi\) | |||||||
\(200\) | −3127.95 | + | 1593.77i | −1.10590 | + | 0.563483i | ||||
\(201\) | −3376.65 | − | 2734.36i | −1.18493 | − | 0.959536i | ||||
\(202\) | −1245.48 | − | 478.095i | −0.433820 | − | 0.166528i | ||||
\(203\) | −104.809 | + | 205.699i | −0.0362372 | + | 0.0711195i | ||||
\(204\) | −61.0727 | + | 287.324i | −0.0209605 | + | 0.0986114i | ||||
\(205\) | −335.608 | + | 3193.09i | −0.114341 | + | 1.08788i | ||||
\(206\) | 704.861 | − | 270.571i | 0.238398 | − | 0.0915124i | ||||
\(207\) | 7266.52 | + | 2361.04i | 2.43989 | + | 0.792770i | ||||
\(208\) | −389.420 | + | 310.482i | −0.129815 | + | 0.103500i | ||||
\(209\) | 803.077 | + | 4656.41i | 0.265789 | + | 1.54110i | ||||
\(210\) | −3530.86 | − | 946.091i | −1.16025 | − | 0.310888i | ||||
\(211\) | 294.982 | + | 1387.78i | 0.0962437 | + | 0.452791i | 0.999709 | + | 0.0241295i | \(0.00768140\pi\) |
−0.903465 | + | 0.428662i | \(0.858985\pi\) | |||||||
\(212\) | 2080.60 | − | 218.680i | 0.674038 | − | 0.0708442i | ||||
\(213\) | −8933.04 | + | 1414.85i | −2.87362 | + | 0.455137i | ||||
\(214\) | −1192.86 | + | 774.654i | −0.381039 | + | 0.247450i | ||||
\(215\) | 786.373 | − | 510.677i | 0.249443 | − | 0.161990i | ||||
\(216\) | −6867.04 | + | 1087.63i | −2.16316 | + | 0.342611i | ||||
\(217\) | −1835.02 | + | 192.868i | −0.574051 | + | 0.0603352i | ||||
\(218\) | 73.8076 | + | 347.237i | 0.0229306 | + | 0.107880i | ||||
\(219\) | −8339.79 | − | 2234.64i | −2.57329 | − | 0.689511i | ||||
\(220\) | −1872.48 | − | 1821.84i | −0.573829 | − | 0.558310i | ||||
\(221\) | 319.642 | + | 125.491i | 0.0972915 | + | 0.0381966i | ||||
\(222\) | −4909.16 | − | 1595.08i | −1.48415 | − | 0.482229i | ||||
\(223\) | 2005.01 | − | 769.653i | 0.602088 | − | 0.231120i | −0.0381808 | − | 0.999271i | \(-0.512156\pi\) |
0.640269 | + | 0.768151i | \(0.278823\pi\) | |||||||
\(224\) | 219.498 | − | 2088.38i | 0.0654724 | − | 0.622929i | ||||
\(225\) | −1816.20 | + | 8544.55i | −0.538134 | + | 2.53172i | ||||
\(226\) | 790.648 | − | 1551.73i | 0.232713 | − | 0.456725i | ||||
\(227\) | 148.806 | + | 57.1212i | 0.0435092 | + | 0.0167016i | 0.380025 | − | 0.924976i | \(-0.375915\pi\) |
−0.336516 | + | 0.941678i | \(0.609249\pi\) | |||||||
\(228\) | 4035.72 | + | 3268.06i | 1.17225 | + | 0.949266i | ||||
\(229\) | 5275.23 | − | 2687.86i | 1.52226 | − | 0.775629i | 0.525105 | − | 0.851037i | \(-0.324026\pi\) |
0.997153 | + | 0.0754083i | \(0.0240260\pi\) | |||||||
\(230\) | −3567.65 | − | 2059.78i | −1.02280 | − | 0.590513i | ||||
\(231\) | −277.806 | − | 4198.78i | −0.0791269 | − | 1.19593i | ||||
\(232\) | 113.337 | − | 422.980i | 0.0320731 | − | 0.119698i | ||||
\(233\) | −559.654 | + | 1722.44i | −0.157357 | + | 0.484294i | −0.998392 | − | 0.0566858i | \(-0.981947\pi\) |
0.841035 | + | 0.540980i | \(0.181947\pi\) | |||||||
\(234\) | −40.0716 | + | 5278.49i | −0.0111947 | + | 1.47464i | ||||
\(235\) | −5521.19 | − | 4011.38i | −1.53261 | − | 1.11351i | ||||
\(236\) | 171.471 | + | 3271.85i | 0.0472957 | + | 0.902455i | ||||
\(237\) | 1516.94 | + | 1365.86i | 0.415764 | + | 0.374356i | ||||
\(238\) | 159.692 | − | 71.0994i | 0.0434928 | − | 0.0193642i | ||||
\(239\) | 5503.62 | + | 871.687i | 1.48954 | + | 0.235919i | 0.847517 | − | 0.530768i | \(-0.178097\pi\) |
0.642020 | + | 0.766688i | \(0.278097\pi\) | |||||||
\(240\) | 1625.61 | + | 85.1947i | 0.437220 | + | 0.0229137i | ||||
\(241\) | 85.7883 | + | 320.166i | 0.0229299 | + | 0.0855756i | 0.976443 | − | 0.215777i | \(-0.0692285\pi\) |
−0.953513 | + | 0.301353i | \(0.902562\pi\) | |||||||
\(242\) | −1095.02 | + | 2303.06i | −0.290869 | + | 0.611763i | ||||
\(243\) | −1300.86 | + | 2253.16i | −0.343417 | + | 0.594816i | ||||
\(244\) | −1894.12 | + | 402.607i | −0.496961 | + | 0.105632i | ||||
\(245\) | 1113.91 | + | 2901.83i | 0.290469 | + | 0.756697i | ||||
\(246\) | 2024.52 | − | 2786.51i | 0.524709 | − | 0.722201i | ||||
\(247\) | 4542.15 | − | 4027.75i | 1.17008 | − | 1.03757i | ||||
\(248\) | 3328.56 | − | 1081.52i | 0.852274 | − | 0.276921i | ||||
\(249\) | 8856.95 | − | 7172.22i | 2.25416 | − | 1.82538i | ||||
\(250\) | 304.404 | − | 683.703i | 0.0770088 | − | 0.172965i | ||||
\(251\) | −105.502 | + | 94.9943i | −0.0265307 | + | 0.0238884i | −0.682289 | − | 0.731082i | \(-0.739016\pi\) |
0.655759 | + | 0.754971i | \(0.272349\pi\) | |||||||
\(252\) | −2240.79 | − | 2240.79i | −0.560144 | − | 0.560144i | ||||
\(253\) | 922.299 | − | 4651.72i | 0.229187 | − | 1.15593i | ||||
\(254\) | 403.617 | − | 108.149i | 0.0997054 | − | 0.0267160i | ||||
\(255\) | −509.546 | − | 1000.04i | −0.125133 | − | 0.245588i | ||||
\(256\) | 454.813 | + | 4327.26i | 0.111038 | + | 1.05646i | ||||
\(257\) | −1002.94 | − | 105.414i | −0.243431 | − | 0.0255857i | −0.0179730 | − | 0.999838i | \(-0.505721\pi\) |
−0.225458 | + | 0.974253i | \(0.572388\pi\) | |||||||
\(258\) | −1004.49 | + | 52.6433i | −0.242392 | + | 0.0127032i | ||||
\(259\) | −1119.44 | − | 3445.27i | −0.268565 | − | 0.826559i | ||||
\(260\) | −722.757 | + | 3277.75i | −0.172398 | + | 0.781837i | ||||
\(261\) | −640.474 | − | 881.537i | −0.151894 | − | 0.209064i | ||||
\(262\) | −381.646 | + | 587.683i | −0.0899929 | + | 0.138577i | ||||
\(263\) | 6887.78 | − | 3976.66i | 1.61490 | − | 0.932363i | 0.626689 | − | 0.779270i | \(-0.284410\pi\) |
0.988212 | − | 0.153094i | \(-0.0489236\pi\) | |||||||
\(264\) | 2171.31 | + | 7680.71i | 0.506192 | + | 1.79059i | ||||
\(265\) | −5652.33 | + | 5652.33i | −1.31026 | + | 1.31026i | ||||
\(266\) | 161.735 | − | 3086.08i | 0.0372804 | − | 0.711353i | ||||
\(267\) | −1814.13 | + | 2240.26i | −0.415815 | + | 0.513489i | ||||
\(268\) | 317.706 | + | 2005.92i | 0.0724142 | + | 0.457205i | ||||
\(269\) | −4515.86 | − | 959.875i | −1.02356 | − | 0.217564i | −0.334595 | − | 0.942362i | \(-0.608600\pi\) |
−0.688961 | + | 0.724798i | \(0.741933\pi\) | |||||||
\(270\) | 6241.63 | − | 6932.03i | 1.40686 | − | 1.56248i | ||||
\(271\) | −1177.43 | − | 1454.00i | −0.263925 | − | 0.325920i | 0.627906 | − | 0.778289i | \(-0.283912\pi\) |
−0.891831 | + | 0.452369i | \(0.850579\pi\) | |||||||
\(272\) | −62.9776 | + | 45.7559i | −0.0140389 | + | 0.0101998i | ||||
\(273\) | −4397.76 | + | 3144.43i | −0.974962 | + | 0.697105i | ||||
\(274\) | 970.730i | 0.214029i | ||||||||
\(275\) | 5399.45 | + | 492.779i | 1.18400 | + | 0.108057i | ||||
\(276\) | −2605.91 | − | 4513.56i | −0.568323 | − | 0.984364i | ||||
\(277\) | 2538.95 | + | 2819.79i | 0.550726 | + | 0.611643i | 0.952664 | − | 0.304024i | \(-0.0983302\pi\) |
−0.401939 | + | 0.915666i | \(0.631664\pi\) | |||||||
\(278\) | 704.020 | − | 4445.01i | 0.151886 | − | 0.958970i | ||||
\(279\) | 3120.94 | − | 8130.33i | 0.669699 | − | 1.74462i | ||||
\(280\) | 2650.25 | + | 4081.03i | 0.565653 | + | 0.871030i | ||||
\(281\) | −6174.46 | − | 3146.04i | −1.31081 | − | 0.667890i | −0.347852 | − | 0.937549i | \(-0.613089\pi\) |
−0.962956 | + | 0.269659i | \(0.913089\pi\) | |||||||
\(282\) | 2977.79 | + | 6688.23i | 0.628812 | + | 1.41233i | ||||
\(283\) | 5428.18 | + | 2416.78i | 1.14018 | + | 0.507642i | 0.887912 | − | 0.460014i | \(-0.152156\pi\) |
0.252272 | + | 0.967656i | \(0.418822\pi\) | |||||||
\(284\) | 3545.53 | + | 2302.49i | 0.740804 | + | 0.481084i | ||||
\(285\) | −19842.1 | −4.12401 | ||||||||
\(286\) | 3256.23 | − | 362.392i | 0.673235 | − | 0.0749255i | ||||
\(287\) | 2417.24 | 0.497161 | ||||||||
\(288\) | 8312.25 | + | 5398.04i | 1.70071 | + | 1.10445i | ||||
\(289\) | −4439.22 | − | 1976.47i | −0.903565 | − | 0.402293i | ||||
\(290\) | 238.961 | + | 536.715i | 0.0483872 | + | 0.108679i | ||||
\(291\) | −1669.55 | − | 850.680i | −0.336326 | − | 0.171367i | ||||
\(292\) | 2198.01 | + | 3384.64i | 0.440510 | + | 0.678326i | ||||
\(293\) | −1207.02 | + | 3144.39i | −0.240665 | + | 0.626953i | −0.999710 | − | 0.0240851i | \(-0.992333\pi\) |
0.759045 | + | 0.651038i | \(0.225666\pi\) | |||||||
\(294\) | 521.624 | − | 3293.40i | 0.103475 | − | 0.653317i | ||||
\(295\) | −8376.63 | − | 9303.18i | −1.65324 | − | 1.83611i | ||||
\(296\) | 3435.68 | + | 5950.77i | 0.674644 | + | 1.16852i | ||||
\(297\) | 9868.56 | + | 4232.65i | 1.92805 | + | 0.826947i | ||||
\(298\) | 797.551i | 0.155036i | ||||||||
\(299\) | −5704.47 | + | 2140.20i | −1.10334 | + | 0.413949i | ||||
\(300\) | 4820.71 | − | 3502.45i | 0.927746 | − | 0.674047i | ||||
\(301\) | −444.254 | − | 548.608i | −0.0850710 | − | 0.105054i | ||||
\(302\) | −1874.88 | + | 2082.27i | −0.357243 | + | 0.396758i | ||||
\(303\) | 6308.06 | + | 1340.82i | 1.19600 | + | 0.254218i | ||||
\(304\) | 215.284 | + | 1359.25i | 0.0406163 | + | 0.256441i | ||||
\(305\) | 4656.32 | − | 5750.08i | 0.874165 | − | 1.07950i | ||||
\(306\) | −43.1801 | + | 823.926i | −0.00806681 | + | 0.153924i | ||||
\(307\) | −3434.65 | + | 3434.65i | −0.638521 | + | 0.638521i | −0.950191 | − | 0.311670i | \(-0.899112\pi\) |
0.311670 | + | 0.950191i | \(0.399112\pi\) | |||||||
\(308\) | −1216.74 | + | 1545.39i | −0.225098 | + | 0.285899i | ||||
\(309\) | −3160.74 | + | 1824.85i | −0.581903 | + | 0.335962i | ||||
\(310\) | −2557.39 | + | 3938.03i | −0.468548 | + | 0.721500i | ||||
\(311\) | −2555.38 | − | 3517.17i | −0.465923 | − | 0.641288i | 0.509801 | − | 0.860292i | \(-0.329719\pi\) |
−0.975724 | + | 0.219004i | \(0.929719\pi\) | |||||||
\(312\) | 6919.38 | − | 7568.41i | 1.25555 | − | 1.37332i | ||||
\(313\) | 2300.28 | + | 7079.54i | 0.415398 | + | 1.27846i | 0.911894 | + | 0.410425i | \(0.134620\pi\) |
−0.496496 | + | 0.868039i | \(0.665380\pi\) | |||||||
\(314\) | 1669.31 | − | 87.4850i | 0.300015 | − | 0.0157231i | ||||
\(315\) | 12042.0 | + | 1265.67i | 2.15394 | + | 0.226388i | ||||
\(316\) | −99.7334 | − | 948.900i | −0.0177546 | − | 0.168923i | ||||
\(317\) | −867.113 | − | 1701.81i | −0.153634 | − | 0.301523i | 0.801342 | − | 0.598206i | \(-0.204120\pi\) |
−0.954976 | + | 0.296683i | \(0.904120\pi\) | |||||||
\(318\) | 8283.08 | − | 2219.45i | 1.46067 | − | 0.391385i | ||||
\(319\) | −496.349 | + | 459.389i | −0.0871167 | + | 0.0806297i | ||||
\(320\) | −4772.96 | − | 4772.96i | −0.833802 | − | 0.833802i | ||||
\(321\) | 5109.51 | − | 4600.62i | 0.888426 | − | 0.799942i | ||||
\(322\) | −1261.50 | + | 2833.37i | −0.218325 | + | 0.490365i | ||||
\(323\) | 737.404 | − | 597.138i | 0.127029 | − | 0.102866i | ||||
\(324\) | 4689.34 | − | 1523.66i | 0.804070 | − | 0.261258i | ||||
\(325\) | −3115.24 | − | 6230.49i | −0.531700 | − | 1.06340i | ||||
\(326\) | 1483.16 | − | 2041.39i | 0.251977 | − | 0.346816i | ||||
\(327\) | −614.975 | − | 1602.07i | −0.104001 | − | 0.270931i | ||||
\(328\) | −4484.86 | + | 953.287i | −0.754985 | + | 0.160477i | ||||
\(329\) | −2569.02 | + | 4449.67i | −0.430501 | + | 0.745649i | ||||
\(330\) | −8748.93 | − | 6175.03i | −1.45943 | − | 1.03007i | ||||
\(331\) | 2988.97 | + | 11155.0i | 0.496341 | + | 1.85237i | 0.522388 | + | 0.852708i | \(0.325041\pi\) |
−0.0260479 | + | 0.999661i | \(0.508292\pi\) | |||||||
\(332\) | −5319.81 | − | 278.799i | −0.879405 | − | 0.0460877i | ||||
\(333\) | 16887.6 | + | 2674.74i | 2.77909 | + | 0.440164i | ||||
\(334\) | 1370.05 | − | 609.986i | 0.224449 | − | 0.0999310i | ||||
\(335\) | −5766.81 | − | 5192.46i | −0.940521 | − | 0.846849i | ||||
\(336\) | −64.1409 | − | 1223.88i | −0.0104142 | − | 0.198715i | ||||
\(337\) | −3298.19 | − | 2396.28i | −0.533127 | − | 0.387340i | 0.288399 | − | 0.957510i | \(-0.406877\pi\) |
−0.821526 | + | 0.570171i | \(0.806877\pi\) | |||||||
\(338\) | −2599.06 | − | 3311.12i | −0.418254 | − | 0.532843i | ||||
\(339\) | −2601.51 | + | 8006.62i | −0.416798 | + | 1.28277i | ||||
\(340\) | −135.782 | + | 506.746i | −0.0216583 | + | 0.0808300i | ||||
\(341\) | −5239.84 | − | 1327.31i | −0.832121 | − | 0.210785i | ||||
\(342\) | 12631.8 | + | 7292.97i | 1.99722 | + | 1.15309i | ||||
\(343\) | 5891.06 | − | 3001.65i | 0.927369 | − | 0.472518i | ||||
\(344\) | 1040.61 | + | 842.667i | 0.163098 | + | 0.132074i | ||||
\(345\) | 18591.3 | + | 7136.52i | 2.90122 | + | 1.11367i | ||||
\(346\) | −203.408 | + | 399.210i | −0.0316048 | + | 0.0620279i | ||||
\(347\) | 1022.00 | − | 4808.11i | 0.158108 | − | 0.743841i | −0.825627 | − | 0.564216i | \(-0.809178\pi\) |
0.983735 | − | 0.179625i | \(-0.0574883\pi\) | |||||||
\(348\) | −77.6937 | + | 739.206i | −0.0119679 | + | 0.113867i | ||||
\(349\) | −5425.34 | + | 2082.59i | −0.832125 | + | 0.319423i | −0.736874 | − | 0.676030i | \(-0.763699\pi\) |
−0.0952513 | + | 0.995453i | \(0.530365\pi\) | |||||||
\(350\) | −3372.44 | − | 1095.77i | −0.515042 | − | 0.167347i | ||||
\(351\) | −2054.64 | − | 13642.0i | −0.312446 | − | 2.07451i | ||||
\(352\) | 2717.41 | − | 5518.94i | 0.411472 | − | 0.835684i | ||||
\(353\) | −2694.46 | − | 721.978i | −0.406265 | − | 0.108858i | 0.0498987 | − | 0.998754i | \(-0.484110\pi\) |
−0.456164 | + | 0.889896i | \(0.650777\pi\) | |||||||
\(354\) | 2792.17 | + | 13136.1i | 0.419216 | + | 1.97226i | ||||
\(355\) | −16064.7 | + | 1688.47i | −2.40176 | + | 0.252435i | ||||
\(356\) | 1330.84 | − | 210.784i | 0.198130 | − | 0.0313807i | ||||
\(357\) | −708.681 | + | 460.223i | −0.105063 | + | 0.0682285i | ||||
\(358\) | −4466.87 | + | 2900.82i | −0.659445 | + | 0.428249i | ||||
\(359\) | 9410.82 | − | 1490.53i | 1.38352 | − | 0.219128i | 0.580103 | − | 0.814543i | \(-0.303012\pi\) |
0.803418 | + | 0.595415i | \(0.203012\pi\) | |||||||
\(360\) | −22841.5 | + | 2400.74i | −3.34403 | + | 0.351472i | ||||
\(361\) | −2061.58 | − | 9698.96i | −0.300565 | − | 1.41405i | ||||
\(362\) | −337.252 | − | 90.3665i | −0.0489657 | − | 0.0131203i | ||||
\(363\) | 3486.55 | − | 11824.0i | 0.504123 | − | 1.70964i | ||||
\(364\) | 2511.09 | + | 283.215i | 0.361585 | + | 0.0407817i | ||||
\(365\) | −14665.5 | − | 4765.11i | −2.10309 | − | 0.683334i | ||||
\(366\) | −7410.17 | + | 2844.50i | −1.05830 | + | 0.406241i | ||||
\(367\) | −1134.69 | + | 10795.8i | −0.161390 | + | 1.53553i | 0.551454 | + | 0.834205i | \(0.314073\pi\) |
−0.712845 | + | 0.701322i | \(0.752594\pi\) | |||||||
\(368\) | 287.163 | − | 1350.99i | 0.0406777 | − | 0.191373i | ||||
\(369\) | −5179.62 | + | 10165.6i | −0.730732 | + | 1.43414i | ||||
\(370\) | −8606.60 | − | 3303.76i | −1.20929 | − | 0.464201i | ||||
\(371\) | 4677.00 | + | 3787.36i | 0.654496 | + | 0.530000i | ||||
\(372\) | −5293.05 | + | 2696.94i | −0.737720 | + | 0.375887i | ||||
\(373\) | 10845.9 | + | 6261.89i | 1.50558 | + | 0.869245i | 0.999979 | + | 0.00647563i | \(0.00206127\pi\) |
0.505598 | + | 0.862769i | \(0.331272\pi\) | |||||||
\(374\) | 510.977 | − | 33.8080i | 0.0706470 | − | 0.00467426i | ||||
\(375\) | −936.354 | + | 3494.52i | −0.128942 | + | 0.481217i | ||||
\(376\) | 3011.65 | − | 9268.91i | 0.413070 | − | 1.27130i | ||||
\(377\) | 837.571 | + | 231.255i | 0.114422 | + | 0.0315922i | ||||
\(378\) | −5681.55 | − | 4127.89i | −0.773088 | − | 0.561681i | ||||
\(379\) | −317.832 | − | 6064.59i | −0.0430763 | − | 0.821945i | −0.931682 | − | 0.363274i | \(-0.881659\pi\) |
0.888606 | − | 0.458671i | \(-0.151674\pi\) | |||||||
\(380\) | 6892.40 | + | 6205.95i | 0.930455 | + | 0.837785i | ||||
\(381\) | −1845.28 | + | 821.571i | −0.248127 | + | 0.110473i | ||||
\(382\) | −3648.04 | − | 577.793i | −0.488613 | − | 0.0773887i | ||||
\(383\) | 10144.0 | + | 531.623i | 1.35335 | + | 0.0709260i | 0.715164 | − | 0.698957i | \(-0.246352\pi\) |
0.638185 | + | 0.769883i | \(0.279685\pi\) | |||||||
\(384\) | −1359.41 | − | 5073.39i | −0.180657 | − | 0.674220i | ||||
\(385\) | −103.013 | − | 7514.67i | −0.0136364 | − | 0.994761i | ||||
\(386\) | 1574.98 | − | 2727.95i | 0.207680 | − | 0.359713i | ||||
\(387\) | 3259.08 | − | 692.739i | 0.428083 | − | 0.0909919i | ||||
\(388\) | 313.876 | + | 817.676i | 0.0410687 | + | 0.106988i | ||||
\(389\) | −1399.68 | + | 1926.49i | −0.182433 | + | 0.251098i | −0.890432 | − | 0.455115i | \(-0.849598\pi\) |
0.707999 | + | 0.706213i | \(0.249598\pi\) | |||||||
\(390\) | −824.324 | + | 13733.4i | −0.107029 | + | 1.78313i | ||||
\(391\) | −905.690 | + | 294.277i | −0.117143 | + | 0.0380619i | ||||
\(392\) | −3449.60 | + | 2793.43i | −0.444468 | + | 0.359923i | ||||
\(393\) | 1377.75 | − | 3094.48i | 0.176841 | − | 0.397191i | ||||
\(394\) | 6312.85 | − | 5684.11i | 0.807200 | − | 0.726806i | ||||
\(395\) | 2577.86 | + | 2577.86i | 0.328371 | + | 0.328371i | ||||
\(396\) | −3891.84 | − | 8428.37i | −0.493870 | − | 1.06955i | ||||
\(397\) | 8753.05 | − | 2345.37i | 1.10656 | − | 0.296501i | 0.341125 | − | 0.940018i | \(-0.389192\pi\) |
0.765432 | + | 0.643517i | \(0.222526\pi\) | |||||||
\(398\) | −1088.84 | − | 2136.98i | −0.137133 | − | 0.269138i | ||||
\(399\) | 1561.51 | + | 14856.7i | 0.195923 | + | 1.86408i | ||||
\(400\) | 1570.46 | + | 165.063i | 0.196308 | + | 0.0206328i | ||||
\(401\) | −5802.68 | + | 304.105i | −0.722623 | + | 0.0378711i | −0.410102 | − | 0.912040i | \(-0.634507\pi\) |
−0.312521 | + | 0.949911i | \(0.601174\pi\) | |||||||
\(402\) | 2572.47 | + | 7917.25i | 0.319162 | + | 0.982280i | ||||
\(403\) | 2095.81 | + | 6620.83i | 0.259056 | + | 0.818379i | ||||
\(404\) | −1771.82 | − | 2438.70i | −0.218197 | − | 0.300322i | ||||
\(405\) | −10260.8 | + | 15800.3i | −1.25893 | + | 1.93858i | ||||
\(406\) | 383.060 | − | 221.160i | 0.0468250 | − | 0.0270344i | ||||
\(407\) | 410.095 | − | 10604.5i | 0.0499451 | − | 1.29151i | ||||
\(408\) | 1133.36 | − | 1133.36i | 0.137524 | − | 0.137524i | ||||
\(409\) | 142.858 | − | 2725.89i | 0.0172711 | − | 0.329552i | −0.976306 | − | 0.216395i | \(-0.930570\pi\) |
0.993577 | − | 0.113157i | \(-0.0360964\pi\) | |||||||
\(410\) | 3871.27 | − | 4780.62i | 0.466313 | − | 0.575849i | ||||
\(411\) | −734.069 | − | 4634.73i | −0.0880997 | − | 0.556240i | ||||
\(412\) | 1668.68 | + | 354.688i | 0.199538 | + | 0.0424132i | ||||
\(413\) | −6306.54 | + | 7004.12i | −0.751391 | + | 0.834505i | ||||
\(414\) | −9212.48 | − | 11376.5i | −1.09364 | − | 1.35054i | ||||
\(415\) | 16467.1 | − | 11964.1i | 1.94781 | − | 1.41517i | ||||
\(416\) | −7866.24 | + | 766.447i | −0.927102 | + | 0.0903321i | ||||
\(417\) | 21755.0i | 2.55479i | ||||||||
\(418\) | 3568.54 | − | 8320.17i | 0.417567 | − | 0.973571i | ||||
\(419\) | −7290.99 | − | 12628.4i | −0.850092 | − | 1.47240i | −0.881125 | − | 0.472884i | \(-0.843213\pi\) |
0.0310333 | − | 0.999518i | \(-0.490120\pi\) | |||||||
\(420\) | −5526.68 | − | 6138.00i | −0.642082 | − | 0.713104i | ||||
\(421\) | −1479.82 | + | 9343.24i | −0.171312 | + | 1.08162i | 0.740815 | + | 0.671709i | \(0.234440\pi\) |
−0.912126 | + | 0.409909i | \(0.865560\pi\) | |||||||
\(422\) | 974.161 | − | 2537.78i | 0.112373 | − | 0.292742i | ||||
\(423\) | −13208.0 | − | 20338.6i | −1.51819 | − | 2.33781i | ||||
\(424\) | −10171.2 | − | 5182.47i | −1.16499 | − | 0.593592i | ||||
\(425\) | −442.845 | − | 994.646i | −0.0505438 | − | 0.113523i | ||||
\(426\) | 15830.5 | + | 7048.18i | 1.80044 | + | 0.801609i | ||||
\(427\) | −4671.81 | − | 3033.91i | −0.529472 | − | 0.343843i | ||||
\(428\) | −3213.77 | −0.362952 | ||||||||
\(429\) | −15272.8 | + | 4192.61i | −1.71883 | + | 0.471844i | ||||
\(430\) | −1796.48 | −0.201474 | ||||||||
\(431\) | 12303.7 | + | 7990.12i | 1.37505 | + | 0.892971i | 0.999429 | − | 0.0338008i | \(-0.0107612\pi\) |
0.375626 | + | 0.926771i | \(0.377428\pi\) | |||||||
\(432\) | 2857.03 | + | 1272.03i | 0.318192 | + | 0.141668i | ||||
\(433\) | 3982.64 | + | 8945.16i | 0.442018 | + | 0.992788i | 0.987924 | + | 0.154941i | \(0.0495188\pi\) |
−0.545906 | + | 0.837846i | \(0.683814\pi\) | |||||||
\(434\) | 3149.86 | + | 1604.93i | 0.348382 | + | 0.177510i | ||||
\(435\) | −1546.78 | − | 2381.83i | −0.170488 | − | 0.262529i | ||||
\(436\) | −287.454 | + | 748.842i | −0.0315746 | + | 0.0822547i | ||||
\(437\) | −2633.64 | + | 16628.1i | −0.288293 | + | 1.82021i | ||||
\(438\) | 11069.0 | + | 12293.3i | 1.20752 | + | 1.34109i | ||||
\(439\) | −2626.96 | − | 4550.03i | −0.285599 | − | 0.494672i | 0.687155 | − | 0.726511i | \(-0.258859\pi\) |
−0.972754 | + | 0.231838i | \(0.925526\pi\) | |||||||
\(440\) | 3154.69 | + | 13901.8i | 0.341804 | + | 1.50624i | ||||
\(441\) | 11045.2i | 1.19266i | ||||||||
\(442\) | −382.666 | − | 535.192i | −0.0411801 | − | 0.0575939i | ||||
\(443\) | −4878.21 | + | 3544.22i | −0.523184 | + | 0.380115i | −0.817802 | − | 0.575500i | \(-0.804808\pi\) |
0.294618 | + | 0.955615i | \(0.404808\pi\) | |||||||
\(444\) | −7339.88 | − | 9064.00i | −0.784539 | − | 0.968825i | ||||
\(445\) | −3444.97 | + | 3826.03i | −0.366983 | + | 0.407576i | ||||
\(446\) | −4024.89 | − | 855.518i | −0.427319 | − | 0.0908294i | ||||
\(447\) | −603.111 | − | 3807.89i | −0.0638169 | − | 0.402924i | ||||
\(448\) | −3198.13 | + | 3949.37i | −0.337272 | + | 0.416496i | ||||
\(449\) | 276.721 | − | 5280.15i | 0.0290852 | − | 0.554979i | −0.944759 | − | 0.327764i | \(-0.893705\pi\) |
0.973845 | − | 0.227215i | \(-0.0729619\pi\) | |||||||
\(450\) | 11834.6 | − | 11834.6i | 1.23975 | − | 1.23975i | ||||
\(451\) | 6645.18 | + | 2446.88i | 0.693813 | + | 0.255474i | ||||
\(452\) | 3407.88 | − | 1967.54i | 0.354630 | − | 0.204746i | ||||
\(453\) | 7376.97 | − | 11359.5i | 0.765122 | − | 1.17818i | ||||
\(454\) | −179.503 | − | 247.064i | −0.0185561 | − | 0.0255403i | ||||
\(455\) | −8137.51 | + | 5197.16i | −0.838444 | + | 0.535487i | ||||
\(456\) | −8756.22 | − | 26948.9i | −0.899227 | − | 2.76754i | ||||
\(457\) | 10132.8 | − | 531.039i | 1.03718 | − | 0.0543565i | 0.473866 | − | 0.880597i | \(-0.342858\pi\) |
0.563318 | + | 0.826240i | \(0.309525\pi\) | |||||||
\(458\) | −11281.3 | − | 1185.71i | −1.15096 | − | 0.120971i | ||||
\(459\) | −225.395 | − | 2144.49i | −0.0229205 | − | 0.218074i | ||||
\(460\) | −4225.85 | − | 8293.70i | −0.428329 | − | 0.840643i | ||||
\(461\) | 5637.59 | − | 1510.59i | 0.569564 | − | 0.152614i | 0.0374672 | − | 0.999298i | \(-0.488071\pi\) |
0.532097 | + | 0.846684i | \(0.321404\pi\) | |||||||
\(462\) | −3935.04 | + | 7036.71i | −0.396266 | + | 0.708609i | ||||
\(463\) | 11431.0 | + | 11431.0i | 1.14739 | + | 1.14739i | 0.987064 | + | 0.160327i | \(0.0512550\pi\) |
0.160327 | + | 0.987064i | \(0.448745\pi\) | |||||||
\(464\) | −146.381 | + | 131.802i | −0.0146456 | + | 0.0131870i | ||||
\(465\) | 9232.25 | − | 20736.0i | 0.920721 | − | 2.06797i | ||||
\(466\) | 2696.65 | − | 2183.70i | 0.268068 | − | 0.217077i | ||||
\(467\) | 15271.0 | − | 4961.86i | 1.51319 | − | 0.491665i | 0.569357 | − | 0.822091i | \(-0.307192\pi\) |
0.943832 | + | 0.330426i | \(0.107192\pi\) | |||||||
\(468\) | −6571.77 | + | 9953.40i | −0.649103 | + | 0.983111i | ||||
\(469\) | −3434.02 | + | 4726.53i | −0.338099 | + | 0.465354i | ||||
\(470\) | 4685.86 | + | 12207.1i | 0.459878 | + | 1.19802i | ||||
\(471\) | −7903.95 | + | 1680.04i | −0.773237 | + | 0.164357i | ||||
\(472\) | 8938.72 | − | 15482.3i | 0.871691 | − | 1.50981i | ||||
\(473\) | −665.955 | − | 1957.87i | −0.0647371 | − | 0.190323i | ||||
\(474\) | −1012.22 | − | 3777.67i | −0.0980864 | − | 0.366064i | ||||
\(475\) | −19221.8 | − | 1007.37i | −1.85675 | − | 0.0973079i | ||||
\(476\) | 390.112 | + | 61.7876i | 0.0375646 | + | 0.00594965i | ||||
\(477\) | −25949.3 | + | 11553.4i | −2.49086 | + | 1.10900i | ||||
\(478\) | −7933.89 | − | 7143.70i | −0.759179 | − | 0.683568i | ||||
\(479\) | −379.241 | − | 7236.35i | −0.0361753 | − | 0.690266i | −0.955181 | − | 0.296022i | \(-0.904340\pi\) |
0.919006 | − | 0.394244i | \(-0.128993\pi\) | |||||||
\(480\) | 20898.8 | + | 15183.9i | 1.98729 | + | 1.44385i | ||||
\(481\) | −11859.3 | + | 6727.44i | −1.12419 | + | 0.637723i | ||||
\(482\) | 196.245 | − | 603.980i | 0.0185451 | − | 0.0570758i | ||||
\(483\) | 3880.40 | − | 14481.8i | 0.365557 | − | 1.36428i | ||||
\(484\) | −4909.25 | + | 3016.74i | −0.461049 | + | 0.283315i | ||||
\(485\) | −2898.20 | − | 1673.28i | −0.271342 | − | 0.156659i | ||||
\(486\) | 4441.47 | − | 2263.04i | 0.414546 | − | 0.211222i | ||||
\(487\) | −5504.31 | − | 4457.30i | −0.512164 | − | 0.414742i | 0.338091 | − | 0.941114i | \(-0.390219\pi\) |
−0.850255 | + | 0.526371i | \(0.823552\pi\) | |||||||
\(488\) | 9864.39 | + | 3786.58i | 0.915041 | + | 0.351251i | ||||
\(489\) | −5537.60 | + | 10868.1i | −0.512104 | + | 1.00506i | ||||
\(490\) | 1238.18 | − | 5825.17i | 0.114153 | − | 0.537049i | ||||
\(491\) | −1047.97 | + | 9970.78i | −0.0963224 | + | 0.916446i | 0.834508 | + | 0.550995i | \(0.185752\pi\) |
−0.930831 | + | 0.365451i | \(0.880915\pi\) | |||||||
\(492\) | 7265.59 | − | 2789.00i | 0.665769 | − | 0.255565i | ||||
\(493\) | 129.164 | + | 41.9680i | 0.0117997 | + | 0.00383396i | ||||
\(494\) | −11501.5 | + | 1732.27i | −1.04753 | + | 0.157770i | ||||
\(495\) | 31823.3 | + | 15669.1i | 2.88960 | + | 1.42277i | ||||
\(496\) | −1520.65 | − | 407.457i | −0.137660 | − | 0.0368858i | ||||
\(497\) | 2528.48 | + | 11895.6i | 0.228205 | + | 1.07362i | ||||
\(498\) | −21716.0 | + | 2282.45i | −1.95405 | + | 0.205379i | ||||
\(499\) | −549.136 | + | 86.9745i | −0.0492639 | + | 0.00780264i | −0.181018 | − | 0.983480i | \(-0.557939\pi\) |
0.131754 | + | 0.991282i | \(0.457939\pi\) | |||||||
\(500\) | 1418.22 | − | 921.006i | 0.126850 | − | 0.0823773i | ||||
\(501\) | −6080.01 | + | 3948.41i | −0.542186 | + | 0.352100i | ||||
\(502\) | 268.652 | − | 42.5504i | 0.0238855 | − | 0.00378310i | ||||
\(503\) | −13632.6 | + | 1432.84i | −1.20844 | + | 0.127012i | −0.687246 | − | 0.726425i | \(-0.741181\pi\) |
−0.521196 | + | 0.853437i | \(0.674514\pi\) | |||||||
\(504\) | 3595.10 | + | 16913.6i | 0.317735 | + | 1.49483i | ||||
\(505\) | 11125.4 | + | 2981.03i | 0.980341 | + | 0.262681i | ||||
\(506\) | −6336.07 | + | 6512.20i | −0.556666 | + | 0.572139i | ||||
\(507\) | 14913.0 | + | 13843.4i | 1.30633 | + | 1.21264i | ||||
\(508\) | 897.942 | + | 291.759i | 0.0784246 | + | 0.0254817i | ||||
\(509\) | 14478.4 | − | 5557.74i | 1.26079 | − | 0.483973i | 0.366067 | − | 0.930588i | \(-0.380704\pi\) |
0.894726 | + | 0.446615i | \(0.147371\pi\) | |||||||
\(510\) | −224.779 | + | 2138.63i | −0.0195164 | + | 0.185687i | ||||
\(511\) | −2413.74 | + | 11355.8i | −0.208958 | + | 0.983072i | ||||
\(512\) | 1725.00 | − | 3385.50i | 0.148896 | − | 0.292226i | ||||
\(513\) | −35588.6 | − | 13661.2i | −3.06292 | − | 1.17574i | ||||
\(514\) | 1501.58 | + | 1215.96i | 0.128856 | + | 0.104345i | ||||
\(515\) | −5807.88 | + | 2959.26i | −0.496943 | + | 0.253205i | ||||
\(516\) | −1968.29 | − | 1136.39i | −0.167925 | − | 0.0969515i | ||||
\(517\) | −11566.7 | + | 9631.99i | −0.983949 | + | 0.819370i | ||||
\(518\) | −1796.38 | + | 6704.18i | −0.152371 | + | 0.568658i | ||||
\(519\) | 669.282 | − | 2059.84i | 0.0566054 | − | 0.174214i | ||||
\(520\) | 13048.4 | − | 12851.8i | 1.10041 | − | 1.08383i | ||||
\(521\) | 10220.8 | + | 7425.83i | 0.859464 | + | 0.624437i | 0.927739 | − | 0.373230i | \(-0.121750\pi\) |
−0.0682753 | + | 0.997667i | \(0.521750\pi\) | |||||||
\(522\) | 109.262 | + | 2084.83i | 0.00916139 | + | 0.174810i | ||||
\(523\) | −10782.3 | − | 9708.47i | −0.901490 | − | 0.811705i | 0.0812511 | − | 0.996694i | \(-0.474108\pi\) |
−0.982741 | + | 0.184989i | \(0.940775\pi\) | |||||||
\(524\) | −1446.43 | + | 643.993i | −0.120587 | + | 0.0536889i | ||||
\(525\) | 16930.3 | + | 2681.50i | 1.40743 | + | 0.222914i | ||||
\(526\) | −15217.3 | − | 797.505i | −1.26142 | − | 0.0661081i | ||||
\(527\) | 280.935 | + | 1048.46i | 0.0232215 | + | 0.0866638i | ||||
\(528\) | 1062.56 | − | 3429.47i | 0.0875794 | − | 0.282668i | ||||
\(529\) | 2364.70 | − | 4095.78i | 0.194353 | − | 0.336630i | ||||
\(530\) | 14980.7 | − | 3184.24i | 1.22777 | − | 0.260971i | ||||
\(531\) | −15941.9 | − | 41530.1i | −1.30286 | − | 3.39408i | ||||
\(532\) | 4104.29 | − | 5649.07i | 0.334480 | − | 0.460373i | ||||
\(533\) | −1823.96 | − | 8913.22i | −0.148226 | − | 0.724343i | ||||
\(534\) | 5252.75 | − | 1706.72i | 0.425672 | − | 0.138309i | ||||
\(535\) | 9543.04 | − | 7727.80i | 0.771181 | − | 0.624490i | ||||
\(536\) | 4507.37 | − | 10123.7i | 0.363225 | − | 0.815817i | ||||
\(537\) | 19133.4 | − | 17227.8i | 1.53755 | − | 1.38442i | ||||
\(538\) | 6254.68 | + | 6254.68i | 0.501224 | + | 0.501224i | ||||
\(539\) | 6807.48 | − | 809.980i | 0.544005 | − | 0.0647279i | ||||
\(540\) | 20358.6 | − | 5455.06i | 1.62239 | − | 0.434719i | ||||
\(541\) | −3462.96 | − | 6796.44i | −0.275202 | − | 0.540114i | 0.711494 | − | 0.702692i | \(-0.248019\pi\) |
−0.986696 | + | 0.162578i | \(0.948019\pi\) | |||||||
\(542\) | 374.698 | + | 3565.02i | 0.0296950 | + | 0.282529i | ||||
\(543\) | 1678.54 | + | 176.422i | 0.132658 | + | 0.0139429i | ||||
\(544\) | −1233.63 | + | 64.6518i | −0.0972269 | + | 0.00509545i | ||||
\(545\) | −947.087 | − | 2914.83i | −0.0744381 | − | 0.229097i | ||||
\(546\) | 10347.8 | − | 463.564i | 0.811069 | − | 0.0363347i | ||||
\(547\) | −3151.67 | − | 4337.90i | −0.246354 | − | 0.339077i | 0.667876 | − | 0.744272i | \(-0.267204\pi\) |
−0.914230 | + | 0.405195i | \(0.867204\pi\) | |||||||
\(548\) | −1194.60 | + | 1839.53i | −0.0931221 | + | 0.143395i | ||||
\(549\) | 22769.6 | − | 13146.0i | 1.77010 | − | 1.02197i | ||||
\(550\) | −8161.90 | − | 6426.16i | −0.632772 | − | 0.498204i | ||||
\(551\) | 1697.74 | − | 1697.74i | 0.131263 | − | 0.131263i | ||||
\(552\) | −1488.35 | + | 28399.4i | −0.114762 | + | 2.18978i | ||||
\(553\) | 1727.30 | − | 2133.04i | 0.132825 | − | 0.164026i | ||||
\(554\) | −1137.26 | − | 7180.39i | −0.0872160 | − | 0.550660i | ||||
\(555\) | 43590.4 | + | 9265.42i | 3.33389 | + | 0.708640i | ||||
\(556\) | 6804.24 | − | 7556.88i | 0.519000 | − | 0.576408i | ||||
\(557\) | 2264.90 | + | 2796.92i | 0.172293 | + | 0.212764i | 0.855977 | − | 0.517015i | \(-0.172957\pi\) |
−0.683684 | + | 0.729778i | \(0.739623\pi\) | |||||||
\(558\) | −13498.9 | + | 9807.53i | −1.02411 | + | 0.744061i | ||||
\(559\) | −1687.70 | + | 2052.08i | −0.127696 | + | 0.155266i | ||||
\(560\) | − | 2188.84i | − | 0.165170i | ||||||
\(561\) | −2414.08 | + | 547.819i | −0.181680 | + | 0.0412280i | ||||
\(562\) | 6638.53 | + | 11498.3i | 0.498273 | + | 0.863035i | ||||
\(563\) | −9779.49 | − | 10861.2i | −0.732072 | − | 0.813048i | 0.256059 | − | 0.966661i | \(-0.417576\pi\) |
−0.988131 | + | 0.153613i | \(0.950909\pi\) | |||||||
\(564\) | −2587.79 | + | 16338.7i | −0.193202 | + | 1.21983i | ||||
\(565\) | −5388.29 | + | 14037.0i | −0.401216 | + | 1.04520i | ||||
\(566\) | −6200.37 | − | 9547.73i | −0.460461 | − | 0.709048i | ||||
\(567\) | 12638.0 | + | 6439.36i | 0.936057 | + | 0.476945i | ||||
\(568\) | −9382.50 | − | 21073.4i | −0.693100 | − | 1.55673i | ||||
\(569\) | 15653.7 | + | 6969.48i | 1.15332 | + | 0.513490i | 0.892121 | − | 0.451796i | \(-0.149216\pi\) |
0.261196 | + | 0.965286i | \(0.415883\pi\) | |||||||
\(570\) | 31883.3 | + | 20705.2i | 2.34288 | + | 1.52149i | ||||
\(571\) | −2789.02 | −0.204408 | −0.102204 | − | 0.994763i | \(-0.532589\pi\) | ||||
−0.102204 | + | 0.994763i | \(0.532589\pi\) | |||||||
\(572\) | 6616.51 | + | 3320.46i | 0.483654 | + | 0.242720i | ||||
\(573\) | 17854.4 | 1.30171 | ||||||||
\(574\) | −3884.15 | − | 2522.39i | −0.282441 | − | 0.183419i | ||||
\(575\) | 17647.7 | + | 7857.28i | 1.27993 | + | 0.569863i | ||||
\(576\) | −9755.95 | − | 21912.2i | −0.705725 | − | 1.58508i | ||||
\(577\) | 67.4960 | + | 34.3909i | 0.00486983 | + | 0.00248130i | 0.456424 | − | 0.889763i | \(-0.349130\pi\) |
−0.451554 | + | 0.892244i | \(0.649130\pi\) | |||||||
\(578\) | 5070.72 | + | 7808.22i | 0.364903 | + | 0.561902i | ||||
\(579\) | −5456.84 | + | 14215.6i | −0.391673 | + | 1.02034i | ||||
\(580\) | −207.665 | + | 1311.14i | −0.0148669 | + | 0.0938660i | ||||
\(581\) | −10254.0 | − | 11388.2i | −0.732200 | − | 0.813190i | ||||
\(582\) | 1795.04 | + | 3109.10i | 0.127847 | + | 0.221437i | ||||
\(583\) | 9023.65 | + | 15146.1i | 0.641032 | + | 1.07597i | ||||
\(584\) | − | 22021.0i | − | 1.56034i | ||||||
\(585\) | −4419.48 | − | 45358.2i | −0.312347 | − | 3.20570i | ||||
\(586\) | 5220.67 | − | 3793.04i | 0.368027 | − | 0.267388i | ||||
\(587\) | 2394.99 | + | 2957.57i | 0.168402 | + | 0.207959i | 0.854359 | − | 0.519683i | \(-0.173950\pi\) |
−0.685958 | + | 0.727642i | \(0.740616\pi\) | |||||||
\(588\) | 5041.41 | − | 5599.06i | 0.353579 | − | 0.392689i | ||||
\(589\) | 18770.0 | + | 3989.69i | 1.31308 | + | 0.279104i | ||||
\(590\) | 3752.11 | + | 23689.9i | 0.261817 | + | 1.65304i | ||||
\(591\) | −25842.2 | + | 31912.5i | −1.79866 | + | 2.22116i | ||||
\(592\) | 161.762 | − | 3086.61i | 0.0112304 | − | 0.214289i | ||||
\(593\) | −12732.8 | + | 12732.8i | −0.881742 | + | 0.881742i | −0.993712 | − | 0.111970i | \(-0.964284\pi\) |
0.111970 | + | 0.993712i | \(0.464284\pi\) | |||||||
\(594\) | −11440.5 | − | 17099.1i | −0.790253 | − | 1.18112i | ||||
\(595\) | −1306.98 | + | 754.585i | −0.0900520 | + | 0.0519915i | ||||
\(596\) | −981.485 | + | 1511.35i | −0.0674550 | + | 0.103872i | ||||
\(597\) | 6814.65 | + | 9379.56i | 0.467178 | + | 0.643015i | ||||
\(598\) | 11399.5 | + | 2513.64i | 0.779534 | + | 0.171890i | ||||
\(599\) | 2572.95 | + | 7918.72i | 0.175506 | + | 0.540151i | 0.999656 | − | 0.0262200i | \(-0.00834703\pi\) |
−0.824151 | + | 0.566371i | \(0.808347\pi\) | |||||||
\(600\) | −32469.4 | + | 1701.65i | −2.20926 | + | 0.115782i | ||||
\(601\) | −9554.28 | − | 1004.20i | −0.648464 | − | 0.0681564i | −0.225415 | − | 0.974263i | \(-0.572374\pi\) |
−0.423050 | + | 0.906107i | \(0.639040\pi\) | |||||||
\(602\) | 141.377 | + | 1345.11i | 0.00957158 | + | 0.0910675i | ||||
\(603\) | −12518.8 | − | 24569.5i | −0.845447 | − | 1.65928i | ||||
\(604\) | −6115.37 | + | 1638.61i | −0.411972 | + | 0.110388i | ||||
\(605\) | 7323.62 | − | 20762.7i | 0.492145 | − | 1.39525i | ||||
\(606\) | −8736.97 | − | 8736.97i | −0.585668 | − | 0.585668i | ||||
\(607\) | 7242.42 | − | 6521.11i | 0.484285 | − | 0.436052i | −0.390472 | − | 0.920615i | \(-0.627688\pi\) |
0.874756 | + | 0.484563i | \(0.161021\pi\) | |||||||
\(608\) | −8882.68 | + | 19950.8i | −0.592500 | + | 1.33078i | ||||
\(609\) | −1661.67 | + | 1345.59i | −0.110565 | + | 0.0895340i | ||||
\(610\) | −13482.2 | + | 4380.64i | −0.894885 | + | 0.290766i | ||||
\(611\) | 18346.0 | + | 6115.34i | 1.21473 | + | 0.404910i | ||||
\(612\) | −1095.77 | + | 1508.20i | −0.0723755 | + | 0.0996164i | ||||
\(613\) | −3356.81 | − | 8744.79i | −0.221175 | − | 0.576181i | 0.777431 | − | 0.628969i | \(-0.216523\pi\) |
−0.998606 | + | 0.0527880i | \(0.983189\pi\) | |||||||
\(614\) | 9103.04 | − | 1934.91i | 0.598320 | − | 0.127177i | ||||
\(615\) | −14868.2 | + | 25752.5i | −0.974867 | + | 1.68852i | ||||
\(616\) | 10160.7 | − | 3456.10i | 0.664590 | − | 0.226055i | ||||
\(617\) | −1719.16 | − | 6416.01i | −0.112173 | − | 0.418637i | 0.886887 | − | 0.461987i | \(-0.152863\pi\) |
−0.999060 | + | 0.0433506i | \(0.986197\pi\) | |||||||
\(618\) | 6983.07 | + | 365.967i | 0.454531 | + | 0.0238210i | ||||
\(619\) | −21850.0 | − | 3460.70i | −1.41878 | − | 0.224713i | −0.600544 | − | 0.799592i | \(-0.705049\pi\) |
−0.818238 | + | 0.574879i | \(0.805049\pi\) | |||||||
\(620\) | −9692.47 | + | 4315.36i | −0.627837 | + | 0.279531i | ||||
\(621\) | 28431.7 | + | 25600.0i | 1.83724 | + | 1.65426i | ||||
\(622\) | 435.934 | + | 8318.11i | 0.0281019 | + | 0.536215i | ||||
\(623\) | 3135.84 | + | 2278.32i | 0.201661 | + | 0.146515i | ||||
\(624\) | −4464.49 | + | 1160.00i | −0.286414 | + | 0.0744188i | ||||
\(625\) | 3743.90 | − | 11522.5i | 0.239609 | − | 0.737442i | ||||
\(626\) | 3691.30 | − | 13776.1i | 0.235677 | − | 0.879560i | ||||
\(627\) | −10746.2 | + | 42423.0i | −0.684469 | + | 2.70209i | ||||
\(628\) | 3271.00 | + | 1888.51i | 0.207846 | + | 0.120000i | ||||
\(629\) | −1898.82 | + | 967.495i | −0.120367 | + | 0.0613300i | ||||
\(630\) | −18029.0 | − | 14599.6i | −1.14015 | − | 0.923273i | ||||
\(631\) | −3719.26 | − | 1427.69i | −0.234646 | − | 0.0900720i | 0.238204 | − | 0.971215i | \(-0.423441\pi\) |
−0.472850 | + | 0.881143i | \(0.656775\pi\) | |||||||
\(632\) | −2363.57 | + | 4638.77i | −0.148762 | + | 0.291963i | ||||
\(633\) | −2732.04 | + | 12853.2i | −0.171546 | + | 0.807062i | ||||
\(634\) | −382.515 | + | 3639.38i | −0.0239615 | + | 0.227979i | ||||
\(635\) | −3367.92 | + | 1292.83i | −0.210476 | + | 0.0807940i | ||||
\(636\) | 18427.7 | + | 5987.52i | 1.14891 | + | 0.373303i | ||||
\(637\) | −5490.77 | − | 6886.79i | −0.341527 | − | 0.428359i | ||||
\(638\) | 1276.93 | − | 220.229i | 0.0792387 | − | 0.0136661i | ||||
\(639\) | −55444.1 | − | 14856.2i | −3.43245 | − | 0.919722i | ||||
\(640\) | −1950.35 | − | 9175.67i | −0.120460 | − | 0.566719i | ||||
\(641\) | 8944.40 | − | 940.094i | 0.551143 | − | 0.0579274i | 0.175136 | − | 0.984544i | \(-0.443964\pi\) |
0.376007 | + | 0.926617i | \(0.377297\pi\) | |||||||
\(642\) | −13011.0 | + | 2060.74i | −0.799847 | + | 0.126683i | ||||
\(643\) | 16583.0 | − | 10769.2i | 1.01706 | − | 0.660488i | 0.0754373 | − | 0.997151i | \(-0.475965\pi\) |
0.941625 | + | 0.336662i | \(0.109298\pi\) | |||||||
\(644\) | −5877.35 | + | 3816.79i | −0.359627 | + | 0.233545i | ||||
\(645\) | 8577.25 | − | 1358.50i | 0.523610 | − | 0.0829317i | ||||
\(646\) | −1808.01 | + | 190.030i | −0.110117 | + | 0.0115737i | ||||
\(647\) | 489.770 | + | 2304.18i | 0.0297602 | + | 0.140011i | 0.990519 | − | 0.137373i | \(-0.0438660\pi\) |
−0.960759 | + | 0.277384i | \(0.910533\pi\) | |||||||
\(648\) | −25987.5 | − | 6963.33i | −1.57544 | − | 0.422138i | ||||
\(649\) | −24427.2 | + | 12871.0i | −1.47743 | + | 0.778478i | ||||
\(650\) | −1495.79 | + | 13262.2i | −0.0902611 | + | 0.800288i | ||||
\(651\) | −16252.6 | − | 5280.79i | −0.978478 | − | 0.317927i | ||||
\(652\) | 5322.75 | − | 2043.21i | 0.319716 | − | 0.122728i | ||||
\(653\) | 2225.55 | − | 21174.7i | 0.133373 | − | 1.26896i | −0.699154 | − | 0.714971i | \(-0.746440\pi\) |
0.832526 | − | 0.553985i | \(-0.186894\pi\) | |||||||
\(654\) | −683.584 | + | 3216.01i | −0.0408719 | + | 0.192287i | ||||
\(655\) | 2746.53 | − | 5390.36i | 0.163841 | − | 0.321555i | ||||
\(656\) | 1925.45 | + | 739.110i | 0.114598 | + | 0.0439899i | ||||
\(657\) | −42584.0 | − | 34483.8i | −2.52870 | − | 2.04770i | ||||
\(658\) | 8771.28 | − | 4469.19i | 0.519666 | − | 0.264783i | ||||
\(659\) | 12090.0 | + | 6980.17i | 0.714658 | + | 0.412608i | 0.812783 | − | 0.582566i | \(-0.197951\pi\) |
−0.0981253 | + | 0.995174i | \(0.531285\pi\) | |||||||
\(660\) | −8980.02 | − | 22468.3i | −0.529616 | − | 1.32512i | ||||
\(661\) | −1643.74 | + | 6134.54i | −0.0967235 | + | 0.360977i | −0.997275 | − | 0.0737720i | \(-0.976496\pi\) |
0.900552 | + | 0.434749i | \(0.143163\pi\) | |||||||
\(662\) | 6837.42 | − | 21043.4i | 0.401426 | − | 1.23546i | ||||
\(663\) | 2231.75 | + | 2265.89i | 0.130730 | + | 0.132730i | ||||
\(664\) | 23516.1 | + | 17085.5i | 1.37440 | + | 0.998560i | ||||
\(665\) | 1396.33 | + | 26643.6i | 0.0814247 | + | 1.55368i | ||||
\(666\) | −24344.8 | − | 21920.2i | −1.41643 | − | 1.27536i | ||||
\(667\) | −2201.34 | + | 980.099i | −0.127790 | + | 0.0568959i | ||||
\(668\) | 3346.90 | + | 530.097i | 0.193856 | + | 0.0307037i | ||||
\(669\) | 19863.7 | + | 1041.01i | 1.14795 | + | 0.0601613i | ||||
\(670\) | 3848.07 | + | 14361.2i | 0.221886 | + | 0.828092i | ||||
\(671\) | −9772.06 | − | 13069.5i | −0.562215 | − | 0.751928i | ||||
\(672\) | 9724.26 | − | 16842.9i | 0.558217 | − | 0.966860i | ||||
\(673\) | −20818.8 | + | 4425.18i | −1.19243 | + | 0.253459i | −0.761040 | − | 0.648705i | \(-0.775311\pi\) |
−0.431393 | + | 0.902164i | \(0.641978\pi\) | |||||||
\(674\) | 2799.19 | + | 7292.13i | 0.159971 | + | 0.416739i | ||||
\(675\) | −25710.7 | + | 35387.7i | −1.46608 | + | 2.01789i | ||||
\(676\) | −850.459 | − | 9473.00i | −0.0483875 | − | 0.538974i | ||||
\(677\) | 2306.74 | − | 749.505i | 0.130953 | − | 0.0425492i | −0.242807 | − | 0.970075i | \(-0.578068\pi\) |
0.373760 | + | 0.927525i | \(0.378068\pi\) | |||||||
\(678\) | 12535.2 | − | 10150.8i | 0.710044 | − | 0.574983i | ||||
\(679\) | −1024.79 | + | 2301.71i | −0.0579201 | + | 0.130091i | ||||
\(680\) | 2127.34 | − | 1915.46i | 0.119970 | − | 0.108022i | ||||
\(681\) | 1043.86 | + | 1043.86i | 0.0587386 | + | 0.0587386i | ||||
\(682\) | 7034.60 | + | 7600.56i | 0.394969 | + | 0.426746i | ||||
\(683\) | −29029.7 | + | 7778.49i | −1.62634 | + | 0.435777i | −0.952856 | − | 0.303423i | \(-0.901870\pi\) |
−0.673486 | + | 0.739200i | \(0.735204\pi\) | |||||||
\(684\) | 14962.3 | + | 29365.1i | 0.836398 | + | 1.64152i | ||||
\(685\) | −876.028 | − | 8334.85i | −0.0488632 | − | 0.464903i | ||||
\(686\) | −12598.3 | − | 1324.13i | −0.701173 | − | 0.0736963i | ||||
\(687\) | 54759.0 | − | 2869.80i | 3.04103 | − | 0.159374i | ||||
\(688\) | −186.124 | − | 572.830i | −0.0103138 | − | 0.0317426i | ||||
\(689\) | 10436.3 | − | 20103.6i | 0.577054 | − | 1.11159i | ||||
\(690\) | −22426.5 | − | 30867.4i | −1.23733 | − | 1.70304i | ||||
\(691\) | 6070.70 | − | 9348.05i | 0.334211 | − | 0.514641i | −0.631114 | − | 0.775690i | \(-0.717402\pi\) |
0.965325 | + | 0.261050i | \(0.0840686\pi\) | |||||||
\(692\) | −876.733 | + | 506.182i | −0.0481624 | + | 0.0278066i | ||||
\(693\) | 9227.83 | − | 25060.8i | 0.505824 | − | 1.37371i | ||||
\(694\) | −6659.47 | + | 6659.47i | −0.364250 | + | 0.364250i | ||||
\(695\) | −2033.47 | + | 38800.9i | −0.110984 | + | 2.11770i | ||||
\(696\) | 2552.34 | − | 3151.88i | 0.139003 | − | 0.171655i | ||||
\(697\) | −222.452 | − | 1404.51i | −0.0120889 | − | 0.0763264i | ||||
\(698\) | 10890.9 | + | 2314.93i | 0.590583 | + | 0.125532i | ||||
\(699\) | −11223.8 | + | 12465.3i | −0.607328 | + | 0.674506i | ||||
\(700\) | −5042.27 | − | 6226.69i | −0.272257 | − | 0.336210i | ||||
\(701\) | 4275.01 | − | 3105.97i | 0.230335 | − | 0.167348i | −0.466632 | − | 0.884452i | \(-0.654533\pi\) |
0.696967 | + | 0.717104i | \(0.254533\pi\) | |||||||
\(702\) | −10933.9 | + | 24064.6i | −0.587854 | + | 1.29382i | ||||
\(703\) | 37674.9i | 2.02125i | ||||||||
\(704\) | −12789.7 | + | 7619.78i | −0.684703 | + | 0.407928i | ||||
\(705\) | −31603.6 | − | 54739.0i | −1.68831 | − | 2.92424i | ||||
\(706\) | 3576.21 | + | 3971.78i | 0.190641 | + | 0.211728i | ||||
\(707\) | 1356.52 | − | 8564.71i | 0.0721599 | − | 0.455600i | ||||
\(708\) | −10874.5 | + | 28329.0i | −0.577244 | + | 1.50377i | ||||
\(709\) | −5592.20 | − | 8611.23i | −0.296219 | − | 0.456138i | 0.658955 | − | 0.752183i | \(-0.270999\pi\) |
−0.955174 | + | 0.296045i | \(0.904332\pi\) | |||||||
\(710\) | 27575.5 | + | 14050.4i | 1.45759 | + | 0.742680i | ||||
\(711\) | 5269.16 | + | 11834.7i | 0.277931 | + | 0.624243i | ||||
\(712\) | −6716.64 | − | 2990.44i | −0.353535 | − | 0.157404i | ||||
\(713\) | −16151.8 | − | 10489.1i | −0.848375 | − | 0.550941i | ||||
\(714\) | 1618.99 | 0.0848587 | ||||||||
\(715\) | −27631.5 | + | 6050.13i | −1.44526 | + | 0.316450i | ||||
\(716\) | −12034.5 | −0.628143 | ||||||||
\(717\) | 43282.3 | + | 28107.9i | 2.25440 | + | 1.46403i | ||||
\(718\) | −16677.2 | − | 7425.15i | −0.866833 | − | 0.385939i | ||||
\(719\) | −7556.04 | − | 16971.2i | −0.391923 | − | 0.880274i | −0.996489 | − | 0.0837192i | \(-0.973320\pi\) |
0.604566 | − | 0.796555i | \(-0.293347\pi\) | |||||||
\(720\) | 9205.04 | + | 4690.20i | 0.476461 | + | 0.242769i | ||||
\(721\) | 2672.81 | + | 4115.76i | 0.138059 | + | 0.212592i | ||||
\(722\) | −6808.23 | + | 17736.1i | −0.350937 | + | 0.914221i | ||||
\(723\) | −480.237 | + | 3032.09i | −0.0247029 | + | 0.155968i | ||||
\(724\) | −527.884 | − | 586.274i | −0.0270976 | − | 0.0300949i | ||||
\(725\) | −1377.50 | − | 2385.90i | −0.0705642 | − | 0.122221i | ||||
\(726\) | −17940.7 | + | 15361.2i | −0.917139 | + | 0.785271i | ||||
\(727\) | 10598.5i | 0.540682i | 0.962765 | + | 0.270341i | \(0.0871364\pi\) | ||||
−0.962765 | + | 0.270341i | \(0.912864\pi\) | |||||||
\(728\) | −10649.7 | − | 8758.62i | −0.542174 | − | 0.445901i | ||||
\(729\) | 5384.17 | − | 3911.83i | 0.273544 | − | 0.198741i | ||||
\(730\) | 18592.9 | + | 22960.3i | 0.942675 | + | 1.16411i | ||||
\(731\) | −277.878 | + | 308.615i | −0.0140598 | + | 0.0156150i | ||||
\(732\) | −17542.7 | − | 3728.83i | −0.885790 | − | 0.188281i | ||||
\(733\) | 1645.94 | + | 10392.0i | 0.0829388 | + | 0.523655i | 0.993822 | + | 0.110990i | \(0.0354021\pi\) |
−0.910883 | + | 0.412665i | \(0.864598\pi\) | |||||||
\(734\) | 13088.8 | − | 16163.3i | 0.658195 | − | 0.812803i | ||||
\(735\) | −1506.64 | + | 28748.5i | −0.0756100 | + | 1.44273i | ||||
\(736\) | 15498.4 | − | 15498.4i | 0.776192 | − | 0.776192i | ||||
\(737\) | −14224.9 | + | 9517.47i | −0.710964 | + | 0.475686i | ||||
\(738\) | 18930.7 | − | 10929.6i | 0.944238 | − | 0.545156i | ||||
\(739\) | −19643.6 | + | 30248.5i | −0.977812 | + | 1.50570i | −0.119329 | + | 0.992855i | \(0.538074\pi\) |
−0.858482 | + | 0.512843i | \(0.828592\pi\) | |||||||
\(740\) | −12243.8 | − | 16852.1i | −0.608229 | − | 0.837155i | ||||
\(741\) | 53603.9 | − | 16968.2i | 2.65747 | − | 0.841216i | ||||
\(742\) | −3563.13 | − | 10966.2i | −0.176289 | − | 0.542563i | ||||
\(743\) | 21553.6 | − | 1129.58i | 1.06423 | − | 0.0557741i | 0.487829 | − | 0.872939i | \(-0.337789\pi\) |
0.576404 | + | 0.817165i | \(0.304455\pi\) | |||||||
\(744\) | 32237.1 | + | 3388.25i | 1.58853 | + | 0.166962i | ||||
\(745\) | −719.744 | − | 6847.91i | −0.0353952 | − | 0.336762i | ||||
\(746\) | −10893.5 | − | 21379.7i | −0.534636 | − | 1.04928i | ||||
\(747\) | 69864.7 | − | 18720.2i | 3.42197 | − | 0.916915i | ||||
\(748\) | 1009.90 | + | 564.754i | 0.0493659 | + | 0.0276062i | ||||
\(749\) | −6537.20 | − | 6537.20i | −0.318910 | − | 0.318910i | ||||
\(750\) | 5151.12 | − | 4638.09i | 0.250790 | − | 0.225812i | ||||
\(751\) | 10869.3 | − | 24412.8i | 0.528130 | − | 1.18620i | −0.430772 | − | 0.902461i | \(-0.641759\pi\) |
0.958902 | − | 0.283738i | \(-0.0915746\pi\) | |||||||
\(752\) | −3406.91 | + | 2758.86i | −0.165209 | + | 0.133784i | ||||
\(753\) | −1250.50 | + | 406.312i | −0.0605189 | + | 0.0196638i | ||||
\(754\) | −1104.54 | − | 1245.60i | −0.0533486 | − | 0.0601619i | ||||
\(755\) | 14218.9 | − | 19570.7i | 0.685404 | − | 0.943377i | ||||
\(756\) | −5686.62 | − | 14814.2i | −0.273572 | − | 0.712680i | ||||
\(757\) | 9198.90 | − | 1955.29i | 0.441664 | − | 0.0938786i | 0.0182883 | − | 0.999833i | \(-0.494178\pi\) |
0.423376 | + | 0.905954i | \(0.360845\pi\) | |||||||
\(758\) | −5817.70 | + | 10076.6i | −0.278771 | + | 0.482846i | ||||
\(759\) | 25326.9 | − | 35883.7i | 1.21121 | − | 1.71607i | ||||
\(760\) | −13098.1 | − | 48882.9i | −0.625157 | − | 2.33312i | ||||
\(761\) | −11199.6 | − | 586.946i | −0.533489 | − | 0.0279590i | −0.216310 | − | 0.976325i | \(-0.569402\pi\) |
−0.317179 | + | 0.948366i | \(0.602736\pi\) | |||||||
\(762\) | 3822.40 | + | 605.409i | 0.181720 | + | 0.0287817i | ||||
\(763\) | −2107.95 | + | 938.519i | −0.100017 | + | 0.0445304i | ||||
\(764\) | −6201.97 | − | 5584.28i | −0.293690 | − | 0.264440i | ||||
\(765\) | −372.794 | − | 7113.34i | −0.0176188 | − | 0.336187i | ||||
\(766\) | −15745.1 | − | 11439.5i | −0.742681 | − | 0.539589i | ||||
\(767\) | 30585.4 | + | 17969.4i | 1.43986 | + | 0.845943i | ||||
\(768\) | −12452.9 | + | 38326.2i | −0.585099 | + | 1.80075i | ||||
\(769\) | 7169.58 | − | 26757.3i | 0.336205 | − | 1.25474i | −0.566351 | − | 0.824164i | \(-0.691645\pi\) |
0.902557 | − | 0.430571i | \(-0.141688\pi\) | |||||||
\(770\) | −7676.04 | + | 12182.5i | −0.359254 | + | 0.570163i | ||||
\(771\) | −8088.78 | − | 4670.06i | −0.377834 | − | 0.218143i | ||||
\(772\) | 6341.66 | − | 3231.24i | 0.295650 | − | 0.150641i | ||||
\(773\) | −14000.7 | − | 11337.5i | −0.651448 | − | 0.527532i | 0.245653 | − | 0.969358i | \(-0.420998\pi\) |
−0.897101 | + | 0.441826i | \(0.854331\pi\) | |||||||
\(774\) | −5959.73 | − | 2287.73i | −0.276768 | − | 0.106241i | ||||
\(775\) | 9996.37 | − | 19619.0i | 0.463329 | − | 0.909335i | ||||
\(776\) | 993.629 | − | 4674.66i | 0.0459655 | − | 0.216251i | ||||
\(777\) | 3507.06 | − | 33367.4i | 0.161924 | − | 1.54060i | ||||
\(778\) | 4259.38 | − | 1635.02i | 0.196280 | − | 0.0753449i | ||||
\(779\) | −23909.0 | − | 7768.49i | −1.09965 | − | 0.357298i | ||||
\(780\) | −18462.8 | + | 25010.3i | −0.847530 | + | 1.14809i | ||||
\(781\) | −5090.42 | + | 35261.3i | −0.233226 | + | 1.61556i | ||||
\(782\) | 1762.39 | + | 472.231i | 0.0805919 | + | 0.0215945i | ||||
\(783\) | −1134.41 | − | 5336.99i | −0.0517760 | − | 0.243587i | ||||
\(784\) | 1985.71 | − | 208.707i | 0.0904570 | − | 0.00950741i | ||||
\(785\) | −14254.1 | + | 2257.62i | −0.648088 | + | 0.102647i | ||||
\(786\) | −5442.94 | + | 3534.69i | −0.247002 | + | 0.160405i | ||||
\(787\) | 8837.58 | − | 5739.19i | 0.400287 | − | 0.259949i | −0.328759 | − | 0.944414i | \(-0.606631\pi\) |
0.729046 | + | 0.684464i | \(0.239964\pi\) | |||||||
\(788\) | 18957.8 | − | 3002.62i | 0.857036 | − | 0.135741i | ||||
\(789\) | 73257.8 | − | 7699.71i | 3.30551 | − | 0.347423i | ||||
\(790\) | −1452.24 | − | 6832.25i | −0.0654030 | − | 0.307697i | ||||
\(791\) | 10934.2 | + | 2929.82i | 0.491500 | + | 0.131697i | ||||
\(792\) | −7237.78 | + | 50136.0i | −0.324726 | + | 2.24938i | ||||
\(793\) | −7661.93 | + | 19515.9i | −0.343106 | + | 0.873934i | ||||
\(794\) | −16512.2 | − | 5365.15i | −0.738032 | − | 0.239801i | ||||
\(795\) | −69117.1 | + | 26531.6i | −3.08343 | + | 1.18362i | ||||
\(796\) | 566.460 | − | 5389.51i | 0.0252232 | − | 0.239983i | ||||
\(797\) | 518.578 | − | 2439.72i | 0.0230477 | − | 0.108431i | −0.965120 | − | 0.261807i | \(-0.915681\pi\) |
0.988168 | + | 0.153377i | \(0.0490148\pi\) | |||||||
\(798\) | 12993.9 | − | 25502.0i | 0.576416 | − | 1.13128i | ||||
\(799\) | 2821.85 | + | 1083.21i | 0.124943 | + | 0.0479613i | ||||
\(800\) | 19474.6 | + | 15770.2i | 0.860664 | + | 0.696952i | ||||
\(801\) | −16300.8 | + | 8305.67i | −0.719052 | + | 0.366375i | ||||
\(802\) | 9641.37 | + | 5566.45i | 0.424500 | + | 0.245085i | ||||
\(803\) | −18130.6 | + | 28774.6i | −0.796780 | + | 1.26455i | ||||
\(804\) | −4868.34 | + | 18168.9i | −0.213548 | + | 0.796974i | ||||
\(805\) | 8274.49 | − | 25466.3i | 0.362282 | − | 1.11499i | ||||
\(806\) | 3541.20 | − | 12825.7i | 0.154756 | − | 0.560502i | ||||
\(807\) | −34592.7 | − | 25133.1i | −1.50895 | − | 1.09631i | ||||
\(808\) | 860.830 | + | 16425.6i | 0.0374801 | + | 0.715163i | ||||
\(809\) | 18191.4 | + | 16379.6i | 0.790575 | + | 0.711837i | 0.961907 | − | 0.273377i | \(-0.0881405\pi\) |
−0.171332 | + | 0.985213i | \(0.554807\pi\) | |||||||
\(810\) | 32975.3 | − | 14681.5i | 1.43041 | − | 0.636860i | ||||
\(811\) | 7936.53 | + | 1257.02i | 0.343636 | + | 0.0544267i | 0.325867 | − | 0.945415i | \(-0.394344\pi\) |
0.0177689 | + | 0.999842i | \(0.494344\pi\) | |||||||
\(812\) | 998.060 | + | 52.3061i | 0.0431343 | + | 0.00226057i | ||||
\(813\) | −4484.87 | − | 16737.8i | −0.193470 | − | 0.722040i | ||||
\(814\) | −11724.8 | + | 16611.9i | −0.504856 | + | 0.715292i | ||||
\(815\) | −10892.4 | + | 18866.2i | −0.468152 | + | 0.810864i | ||||
\(816\) | −705.218 | + | 149.899i | −0.0302544 | + | 0.00643077i | ||||
\(817\) | 2631.01 | + | 6854.03i | 0.112665 | + | 0.293503i | ||||
\(818\) | −3074.03 | + | 4231.03i | −0.131395 | + | 0.180849i | ||||
\(819\) | −33614.2 | + | 6878.63i | −1.43416 | + | 0.293478i | ||||
\(820\) | 13219.2 | − | 4295.17i | 0.562968 | − | 0.182919i | ||||
\(821\) | −33219.5 | + | 26900.6i | −1.41214 | + | 1.14353i | −0.443144 | + | 0.896450i | \(0.646137\pi\) |
−0.968996 | + | 0.247078i | \(0.920530\pi\) | |||||||
\(822\) | −3656.81 | + | 8213.33i | −0.155165 | + | 0.348507i | ||||
\(823\) | −6283.60 | + | 5657.78i | −0.266139 | + | 0.239633i | −0.791386 | − | 0.611317i | \(-0.790640\pi\) |
0.525246 | + | 0.850950i | \(0.323973\pi\) | |||||||
\(824\) | −6582.17 | − | 6582.17i | −0.278278 | − | 0.278278i | ||||
\(825\) | 43828.4 | + | 24509.5i | 1.84958 | + | 1.03432i | ||||
\(826\) | 17442.5 | − | 4673.70i | 0.734748 | − | 0.196875i | ||||
\(827\) | 3918.18 | + | 7689.85i | 0.164750 | + | 0.323340i | 0.958592 | − | 0.284784i | \(-0.0919220\pi\) |
−0.793841 | + | 0.608125i | \(0.791922\pi\) | |||||||
\(828\) | −3457.45 | − | 32895.4i | −0.145114 | − | 1.38067i | ||||
\(829\) | −41634.9 | − | 4376.01i | −1.74432 | − | 0.183335i | −0.821928 | − | 0.569592i | \(-0.807101\pi\) |
−0.922391 | + | 0.386256i | \(0.873768\pi\) | |||||||
\(830\) | −38944.8 | + | 2041.01i | −1.62867 | + | 0.0853548i | ||||
\(831\) | 10859.7 | + | 33422.7i | 0.453331 | + | 1.39521i | ||||
\(832\) | 16975.9 | + | 8812.62i | 0.707373 | + | 0.367215i | ||||
\(833\) | −809.180 | − | 1113.74i | −0.0336572 | − | 0.0463251i | ||||
\(834\) | 22701.4 | − | 34957.0i | 0.942547 | − | 1.45139i | ||||
\(835\) | −11213.0 | + | 6473.84i | −0.464722 | + | 0.268307i | ||||
\(836\) | 17001.4 | − | 11375.1i | 0.703354 | − | 0.470595i | ||||
\(837\) | 30835.5 | − | 30835.5i | 1.27339 | − | 1.27339i | ||||
\(838\) | −1462.18 | + | 27900.1i | −0.0602747 | + | 1.15011i | ||||
\(839\) | 17181.5 | − | 21217.4i | 0.706997 | − | 0.873069i | −0.289458 | − | 0.957191i | \(-0.593475\pi\) |
0.996455 | + | 0.0841217i | \(0.0268084\pi\) | |||||||
\(840\) | 7050.21 | + | 44513.2i | 0.289590 | + | 1.82840i | ||||
\(841\) | −23519.9 | − | 4999.31i | −0.964365 | − | 0.204982i | ||||
\(842\) | 12127.5 | − | 13469.0i | 0.496369 | − | 0.551273i | ||||
\(843\) | −40390.6 | − | 49878.2i | −1.65021 | − | 2.03784i | ||||
\(844\) | 4969.08 | − | 3610.24i | 0.202657 | − | 0.147239i | ||||
\(845\) | 25304.0 | + | 26084.3i | 1.03016 | + | 1.06193i | ||||
\(846\) | 46463.6i | 1.88824i | ||||||||
\(847\) | −16122.4 | − | 3849.60i | −0.654041 | − | 0.156167i | ||||
\(848\) | 2567.41 | + | 4446.88i | 0.103968 | + | 0.180078i | ||||
\(849\) | 36823.6 | + | 40896.7i | 1.48855 | + | 1.65321i | ||||
\(850\) | −326.329 | + | 2060.36i | −0.0131682 | + | 0.0831408i | ||||
\(851\) | 13550.4 | − | 35300.0i | 0.545830 | − | 1.42194i | ||||
\(852\) | 21325.0 | + | 32837.6i | 0.857491 | + | 1.32042i | ||||
\(853\) | −10969.7 | − | 5589.35i | −0.440324 | − | 0.224356i | 0.219751 | − | 0.975556i | \(-0.429475\pi\) |
−0.660075 | + | 0.751200i | \(0.729475\pi\) | |||||||
\(854\) | 4341.01 | + | 9750.08i | 0.173942 | + | 0.390680i | ||||
\(855\) | −115040. | − | 51219.2i | −4.60151 | − | 2.04872i | ||||
\(856\) | 14707.0 | + | 9550.81i | 0.587235 | + | 0.381355i | ||||
\(857\) | −17144.5 | −0.683368 | −0.341684 | − | 0.939815i | \(-0.610997\pi\) | ||||
−0.341684 | + | 0.939815i | \(0.610997\pi\) | |||||||
\(858\) | 28916.1 | + | 9200.27i | 1.15056 | + | 0.366075i | ||||
\(859\) | −11005.7 | −0.437147 | −0.218573 | − | 0.975821i | \(-0.570140\pi\) | ||||
−0.218573 | + | 0.975821i | \(0.570140\pi\) | |||||||
\(860\) | −3404.31 | − | 2210.79i | −0.134984 | − | 0.0876595i | ||||
\(861\) | 20452.2 | + | 9105.92i | 0.809535 | + | 0.360428i | ||||
\(862\) | −11432.5 | − | 25677.9i | −0.451732 | − | 1.01461i | ||||
\(863\) | 21429.1 | + | 10918.7i | 0.845256 | + | 0.430680i | 0.822298 | − | 0.569057i | \(-0.192692\pi\) |
0.0229582 | + | 0.999736i | \(0.492692\pi\) | |||||||
\(864\) | 27030.0 | + | 41622.5i | 1.06433 | + | 1.63892i | ||||
\(865\) | 1386.23 | − | 3611.25i | 0.0544892 | − | 0.141949i | ||||
\(866\) | 2934.78 | − | 18529.4i | 0.115159 | − | 0.727086i | ||||
\(867\) | −30114.7 | − | 33445.7i | −1.17964 | − | 1.31012i | ||||
\(868\) | 3993.89 | + | 6917.62i | 0.156177 | + | 0.270506i | ||||
\(869\) | 6907.69 | − | 4115.42i | 0.269652 | − | 0.160651i | ||||
\(870\) | 5441.32i | 0.212044i | ||||||||
\(871\) | 20019.6 | + | 9096.01i | 0.778803 | + | 0.353854i | ||||
\(872\) | 3540.89 | − | 2572.61i | 0.137511 | − | 0.0999076i | ||||
\(873\) | −7483.82 | − | 9241.75i | −0.290136 | − | 0.358288i | ||||
\(874\) | 21583.4 | − | 23970.7i | 0.835318 | − | 0.927715i | ||||
\(875\) | 4758.27 | + | 1011.40i | 0.183839 | + | 0.0390761i | ||||
\(876\) | 5847.15 | + | 36917.5i | 0.225522 | + | 1.42389i | ||||
\(877\) | −25984.8 | + | 32088.5i | −1.00050 | + | 1.23552i | −0.0287356 | + | 0.999587i | \(0.509148\pi\) |
−0.971769 | + | 0.235934i | \(0.924185\pi\) | |||||||
\(878\) | −526.828 | + | 10052.5i | −0.0202501 | + | 0.386394i | ||||
\(879\) | −22057.7 | + | 22057.7i | −0.846403 | + | 0.846403i | ||||
\(880\) | 2215.68 | − | 6017.29i | 0.0848755 | − | 0.230503i | ||||
\(881\) | −13012.6 | + | 7512.81i | −0.497621 | + | 0.287302i | −0.727731 | − | 0.685863i | \(-0.759425\pi\) |
0.230109 | + | 0.973165i | \(0.426092\pi\) | |||||||
\(882\) | 11525.7 | − | 17748.0i | 0.440011 | − | 0.677557i | ||||
\(883\) | 15315.5 | + | 21079.9i | 0.583700 | + | 0.803394i | 0.994095 | − | 0.108514i | \(-0.0346092\pi\) |
−0.410395 | + | 0.911908i | \(0.634609\pi\) | |||||||
\(884\) | −66.5304 | − | 1485.10i | −0.00253129 | − | 0.0565039i | ||||
\(885\) | −35828.7 | − | 110269.i | −1.36087 | − | 4.18833i | ||||
\(886\) | 11537.0 | − | 604.626i | 0.437462 | − | 0.0229264i | ||||
\(887\) | 142.512 | + | 14.9786i | 0.00539469 | + | 0.000567004i | 0.107225 | − | 0.994235i | \(-0.465803\pi\) |
−0.101831 | + | 0.994802i | \(0.532470\pi\) | |||||||
\(888\) | 6652.24 | + | 63291.8i | 0.251390 | + | 2.39182i | ||||
\(889\) | 1233.05 | + | 2419.99i | 0.0465186 | + | 0.0912980i | ||||
\(890\) | 9528.02 | − | 2553.03i | 0.358854 | − | 0.0961547i | ||||
\(891\) | 28224.4 | + | 30495.2i | 1.06123 | + | 1.14661i | ||||
\(892\) | −6574.33 | − | 6574.33i | −0.246777 | − | 0.246777i | ||||
\(893\) | 39710.5 | − | 35755.5i | 1.48809 | − | 1.33988i | ||||
\(894\) | −3004.43 | + | 6748.06i | −0.112397 | + | 0.252449i | ||||
\(895\) | 35735.5 | − | 28938.0i | 1.33464 | − | 1.08077i | ||||
\(896\) | −6716.79 | + | 2182.42i | −0.250438 | + | 0.0813722i | ||||
\(897\) | −56327.7 | − | 3380.96i | −2.09669 | − | 0.125850i | ||||
\(898\) | −5954.49 | + | 8195.66i | −0.221274 | + | 0.304558i | ||||
\(899\) | 984.288 | + | 2564.16i | 0.0365160 | + | 0.0951273i | ||||
\(900\) | 36990.5 | − | 7862.57i | 1.37002 | − | 0.291206i | ||||
\(901\) | 1770.19 | − | 3066.06i | 0.0654534 | − | 0.113369i | ||||
\(902\) | −8124.50 | − | 10866.0i | −0.299907 | − | 0.401108i | ||||
\(903\) | −1692.18 | − | 6315.30i | −0.0623612 | − | 0.232735i | ||||
\(904\) | −21442.4 | − | 1123.75i | −0.788898 | − | 0.0413444i | ||||
\(905\) | 2977.26 | + | 471.551i | 0.109356 | + | 0.0173203i | ||||
\(906\) | −23707.4 | + | 10555.2i | −0.869344 | + | 0.387057i | ||||
\(907\) | 18049.4 | + | 16251.8i | 0.660774 | + | 0.594963i | 0.929754 | − | 0.368182i | \(-0.120020\pi\) |
−0.268980 | + | 0.963146i | \(0.586686\pi\) | |||||||
\(908\) | −36.1135 | − | 689.086i | −0.00131990 | − | 0.0251852i | ||||
\(909\) | 33111.7 | + | 24057.0i | 1.20819 | + | 0.877802i | ||||
\(910\) | 18499.0 | + | 140.435i | 0.673886 | + | 0.00511579i | ||||
\(911\) | 3676.20 | − | 11314.2i | 0.133697 | − | 0.411477i | −0.861688 | − | 0.507438i | \(-0.830593\pi\) |
0.995385 | + | 0.0959614i | \(0.0305926\pi\) | |||||||
\(912\) | −3298.87 | + | 12311.6i | −0.119777 | + | 0.447014i | ||||
\(913\) | −16661.2 | − | 41686.9i | −0.603950 | − | 1.51110i | ||||
\(914\) | −16836.1 | − | 9720.31i | −0.609287 | − | 0.351772i | ||||
\(915\) | 61058.0 | − | 31110.6i | 2.20603 | − | 1.12403i | ||||
\(916\) | −19918.8 | − | 16130.0i | −0.718490 | − | 0.581822i | ||||
\(917\) | −4252.17 | − | 1632.26i | −0.153129 | − | 0.0587806i | ||||
\(918\) | −1875.60 | + | 3681.07i | −0.0674336 | + | 0.132346i | ||||
\(919\) | 8767.26 | − | 41246.7i | 0.314695 | − | 1.48053i | −0.482014 | − | 0.876163i | \(-0.660095\pi\) |
0.796710 | − | 0.604362i | \(-0.206572\pi\) | |||||||
\(920\) | −5309.07 | + | 50512.4i | −0.190255 | + | 1.81016i | ||||
\(921\) | −41999.1 | + | 16121.9i | −1.50263 | + | 0.576804i | ||||
\(922\) | −10635.1 | − | 3455.55i | −0.379878 | − | 0.123430i | ||||
\(923\) | 41955.3 | − | 18299.3i | 1.49618 | − | 0.652579i | ||||
\(924\) | −16116.4 | + | 8491.97i | −0.573800 | + | 0.302343i | ||||
\(925\) | 41757.2 | + | 11188.8i | 1.48429 | + | 0.397714i | ||||
\(926\) | −6439.64 | − | 30296.1i | −0.228531 | − | 1.07515i | ||||
\(927\) | −23035.9 | + | 2421.17i | −0.816178 | + | 0.0857838i | ||||
\(928\) | −3087.33 | + | 488.986i | −0.109210 | + | 0.0172971i | ||||
\(929\) | −16818.4 | + | 10922.0i | −0.593966 | + | 0.385726i | −0.806331 | − | 0.591465i | \(-0.798550\pi\) |
0.212365 | + | 0.977190i | \(0.431883\pi\) | |||||||
\(930\) | −36472.9 | + | 23685.8i | −1.28601 | + | 0.835147i | ||||
\(931\) | −24037.9 | + | 3807.23i | −0.846198 | + | 0.134025i | ||||
\(932\) | 7797.44 | − | 819.544i | 0.274049 | − | 0.0288037i | ||||
\(933\) | −8371.55 | − | 39385.0i | −0.293754 | − | 1.38200i | ||||
\(934\) | −29716.0 | − | 7962.38i | −1.04105 | − | 0.278947i | ||||
\(935\) | −4356.83 | + | 751.409i | −0.152389 | + | 0.0262820i | ||||
\(936\) | 59653.8 | − | 26018.8i | 2.08317 | − | 0.908601i | ||||
\(937\) | −23644.1 | − | 7682.44i | −0.824354 | − | 0.267849i | −0.133689 | − | 0.991023i | \(-0.542682\pi\) |
−0.690665 | + | 0.723174i | \(0.742682\pi\) | |||||||
\(938\) | 10450.1 | − | 4011.42i | 0.363761 | − | 0.139635i | ||||
\(939\) | −7206.49 | + | 68565.2i | −0.250453 | + | 2.38290i | ||||
\(940\) | −6142.64 | + | 28898.9i | −0.213139 | + | 1.00274i | ||||
\(941\) | −10065.4 | + | 19754.4i | −0.348695 | + | 0.684353i | −0.997031 | − | 0.0770019i | \(-0.975465\pi\) |
0.648336 | + | 0.761354i | \(0.275465\pi\) | |||||||
\(942\) | 14453.6 | + | 5548.22i | 0.499919 | + | 0.191901i | ||||
\(943\) | 19607.7 | + | 15878.0i | 0.677111 | + | 0.548314i | ||||
\(944\) | −7165.08 | + | 3650.79i | −0.247038 | + | 0.125872i | ||||
\(945\) | 52507.9 | + | 30315.5i | 1.80750 | + | 1.04356i | ||||
\(946\) | −972.947 | + | 3840.93i | −0.0334390 | + | 0.132008i | ||||
\(947\) | 6132.37 | − | 22886.3i | 0.210428 | − | 0.785327i | −0.777298 | − | 0.629132i | \(-0.783410\pi\) |
0.987726 | − | 0.156195i | \(-0.0499229\pi\) | |||||||
\(948\) | 2730.73 | − | 8404.33i | 0.0935549 | − | 0.287932i | ||||
\(949\) | 43694.1 | + | 331.703i | 1.49460 | + | 0.0113462i | ||||
\(950\) | 29835.3 | + | 21676.6i | 1.01893 | + | 0.740297i | ||||
\(951\) | −925.806 | − | 17665.4i | −0.0315682 | − | 0.602356i | ||||
\(952\) | −1601.62 | − | 1442.10i | −0.0545260 | − | 0.0490954i | ||||
\(953\) | −28117.5 | + | 12518.7i | −0.955734 | + | 0.425520i | −0.824519 | − | 0.565834i | \(-0.808554\pi\) |
−0.131215 | + | 0.991354i | \(0.541888\pi\) | |||||||
\(954\) | 53752.7 | + | 8513.59i | 1.82422 | + | 0.288928i | ||||
\(955\) | 31844.2 | + | 1668.88i | 1.07901 | + | 0.0565484i | ||||
\(956\) | −6243.46 | − | 23300.9i | −0.211222 | − | 0.788290i | ||||
\(957\) | −5930.16 | + | 2017.10i | −0.200308 | + | 0.0681334i | ||||
\(958\) | −6941.76 | + | 12023.5i | −0.234111 | + | 0.405492i | ||||
\(959\) | −6171.78 | + | 1311.85i | −0.207818 | + | 0.0441730i | ||||
\(960\) | −22403.9 | − | 58364.0i | −0.753210 | − | 1.96218i | ||||
\(961\) | 4607.86 | − | 6342.17i | 0.154673 | − | 0.212889i | ||||
\(962\) | 26076.2 | + | 1565.17i | 0.873940 | + | 0.0524566i | ||||
\(963\) | 41499.6 | − | 13484.0i | 1.38869 | − | 0.451212i | ||||
\(964\) | 1115.16 | − | 903.035i | 0.0372580 | − | 0.0301710i | ||||
\(965\) | −11061.3 | + | 24844.0i | −0.368989 | + | 0.828763i | ||||
\(966\) | −21347.0 | + | 19221.0i | −0.711004 | + | 0.640191i | ||||
\(967\) | −29907.1 | − | 29907.1i | −0.994567 | − | 0.994567i | 0.00541813 | − | 0.999985i | \(-0.498275\pi\) |
−0.999985 | + | 0.00541813i | \(0.998275\pi\) | |||||||
\(968\) | 31431.1 | + | 784.217i | 1.04363 | + | 0.0260389i | ||||
\(969\) | 8488.63 | − | 2274.52i | 0.281418 | − | 0.0754057i | ||||
\(970\) | 2910.91 | + | 5712.99i | 0.0963545 | + | 0.189106i | ||||
\(971\) | −2964.15 | − | 28202.0i | −0.0979652 | − | 0.932077i | −0.927551 | − | 0.373697i | \(-0.878090\pi\) |
0.829586 | − | 0.558380i | \(-0.188577\pi\) | |||||||
\(972\) | 11201.5 | + | 1177.33i | 0.369639 | + | 0.0388506i | ||||
\(973\) | 29212.2 | − | 1530.95i | 0.962487 | − | 0.0504418i | ||||
\(974\) | 4193.41 | + | 12906.0i | 0.137952 | + | 0.424573i | ||||
\(975\) | −2887.32 | − | 64451.4i | −0.0948394 | − | 2.11702i | ||||
\(976\) | −2793.65 | − | 3845.13i | −0.0916215 | − | 0.126106i | ||||
\(977\) | 3216.65 | − | 4953.21i | 0.105332 | − | 0.162198i | −0.782074 | − | 0.623186i | \(-0.785838\pi\) |
0.887406 | + | 0.460988i | \(0.152505\pi\) | |||||||
\(978\) | 20239.0 | − | 11685.0i | 0.661731 | − | 0.382051i | ||||
\(979\) | 6314.43 | + | 9437.59i | 0.206139 | + | 0.308097i | ||||
\(980\) | 9514.93 | − | 9514.93i | 0.310146 | − | 0.310146i | ||||
\(981\) | 569.982 | − | 10875.9i | 0.0185506 | − | 0.353966i | ||||
\(982\) | 12088.5 | − | 14928.0i | 0.392829 | − | 0.485104i | ||||
\(983\) | 2506.17 | + | 15823.3i | 0.0813167 | + | 0.513414i | 0.994404 | + | 0.105648i | \(0.0336918\pi\) |
−0.913087 | + | 0.407765i | \(0.866308\pi\) | |||||||
\(984\) | −41537.4 | − | 8829.06i | −1.34570 | − | 0.286037i | ||||
\(985\) | −49073.6 | + | 54501.8i | −1.58743 | + | 1.76302i | ||||
\(986\) | −163.754 | − | 202.219i | −0.00528904 | − | 0.00653142i | ||||
\(987\) | −38498.7 | + | 27970.9i | −1.24157 | + | 0.902052i | ||||
\(988\) | −23927.1 | − | 10871.4i | −0.770468 | − | 0.350066i | ||||
\(989\) | − | 7368.25i | − | 0.236903i | ||||||
\(990\) | −34784.6 | − | 58385.5i | −1.11669 | − | 1.87436i | ||||
\(991\) | 6090.32 | + | 10548.7i | 0.195222 | + | 0.338135i | 0.946973 | − | 0.321312i | \(-0.104124\pi\) |
−0.751751 | + | 0.659447i | \(0.770790\pi\) | |||||||
\(992\) | −16716.6 | − | 18565.7i | −0.535033 | − | 0.594215i | ||||
\(993\) | −16732.0 | + | 105642.i | −0.534718 | + | 3.37608i | ||||
\(994\) | 8350.14 | − | 21752.9i | 0.266449 | − | 0.694124i | ||||
\(995\) | 11277.5 | + | 17365.8i | 0.359317 | + | 0.553300i | ||||
\(996\) | −43960.6 | − | 22399.0i | −1.39854 | − | 0.712591i | ||||
\(997\) | 8903.00 | + | 19996.5i | 0.282809 | + | 0.635200i | 0.997965 | − | 0.0637653i | \(-0.0203109\pi\) |
−0.715156 | + | 0.698965i | \(0.753644\pi\) | |||||||
\(998\) | 973.138 | + | 433.269i | 0.0308659 | + | 0.0137424i | ||||
\(999\) | 71804.1 | + | 46630.2i | 2.27406 | + | 1.47679i |
(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 | 143.4.w.a.2.14 | ✓ | 640 | |
11.6 | odd | 10 | inner | 143.4.w.a.28.14 | yes | 640 | |
13.7 | odd | 12 | inner | 143.4.w.a.46.14 | yes | 640 | |
143.72 | even | 60 | inner | 143.4.w.a.72.14 | yes | 640 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
143.4.w.a.2.14 | ✓ | 640 | 1.1 | even | 1 | trivial | |
143.4.w.a.28.14 | yes | 640 | 11.6 | odd | 10 | inner | |
143.4.w.a.46.14 | yes | 640 | 13.7 | odd | 12 | inner | |
143.4.w.a.72.14 | yes | 640 | 143.72 | even | 60 | inner |