Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [43,4,Mod(9,43)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(43, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("43.9");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 43 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 43.g (of order \(21\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.53708213025\) |
Analytic rank: | \(0\) |
Dimension: | \(120\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 13.6 | ||
Character | \(\chi\) | \(=\) | 43.13 |
Dual form | 43.4.g.a.10.6 |
$q$-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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{16}{21}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.113555 | − | 0.497516i | 0.0401477 | − | 0.175898i | −0.950879 | − | 0.309563i | \(-0.899817\pi\) |
0.991027 | + | 0.133664i | \(0.0426744\pi\) | |||||||
\(3\) | 4.85972 | − | 4.50917i | 0.935254 | − | 0.867789i | −0.0561765 | − | 0.998421i | \(-0.517891\pi\) |
0.991431 | + | 0.130632i | \(0.0417005\pi\) | |||||||
\(4\) | 6.97312 | + | 3.35808i | 0.871640 | + | 0.419760i | ||||
\(5\) | −8.91725 | − | 1.34406i | −0.797584 | − | 0.120216i | −0.262408 | − | 0.964957i | \(-0.584517\pi\) |
−0.535176 | + | 0.844741i | \(0.679755\pi\) | |||||||
\(6\) | −1.69154 | − | 2.92983i | −0.115094 | − | 0.199349i | ||||
\(7\) | 2.21697 | − | 3.83991i | 0.119705 | − | 0.207335i | −0.799946 | − | 0.600072i | \(-0.795138\pi\) |
0.919651 | + | 0.392737i | \(0.128472\pi\) | |||||||
\(8\) | 5.00791 | − | 6.27973i | 0.221321 | − | 0.277527i | ||||
\(9\) | 1.26664 | − | 16.9021i | 0.0469125 | − | 0.626004i | ||||
\(10\) | −1.68129 | + | 4.28385i | −0.0531670 | + | 0.135467i | ||||
\(11\) | 5.96279 | − | 2.87153i | 0.163441 | − | 0.0787089i | −0.350375 | − | 0.936610i | \(-0.613946\pi\) |
0.513816 | + | 0.857901i | \(0.328232\pi\) | |||||||
\(12\) | 49.0296 | − | 15.1236i | 1.17947 | − | 0.363818i | ||||
\(13\) | 4.94815 | + | 12.6077i | 0.105567 | + | 0.268980i | 0.973891 | − | 0.227018i | \(-0.0728975\pi\) |
−0.868324 | + | 0.495998i | \(0.834802\pi\) | |||||||
\(14\) | −1.65867 | − | 1.53902i | −0.0316641 | − | 0.0293800i | ||||
\(15\) | −49.3960 | + | 33.6776i | −0.850266 | + | 0.579702i | ||||
\(16\) | 36.0488 | + | 45.2038i | 0.563263 | + | 0.706309i | ||||
\(17\) | −125.638 | + | 18.9368i | −1.79245 | + | 0.270168i | −0.959199 | − | 0.282732i | \(-0.908759\pi\) |
−0.833248 | + | 0.552900i | \(0.813521\pi\) | |||||||
\(18\) | −8.26523 | − | 2.54949i | −0.108230 | − | 0.0333844i | ||||
\(19\) | 6.32317 | + | 84.3768i | 0.0763492 | + | 1.01881i | 0.895451 | + | 0.445161i | \(0.146853\pi\) |
−0.819102 | + | 0.573648i | \(0.805528\pi\) | |||||||
\(20\) | −57.6677 | − | 39.3171i | −0.644744 | − | 0.439579i | ||||
\(21\) | −6.54090 | − | 28.6576i | −0.0679687 | − | 0.297790i | ||||
\(22\) | −0.751528 | − | 3.29266i | −0.00728301 | − | 0.0319089i | ||||
\(23\) | 10.5279 | + | 7.17783i | 0.0954446 | + | 0.0650731i | 0.610102 | − | 0.792323i | \(-0.291128\pi\) |
−0.514657 | + | 0.857396i | \(0.672081\pi\) | |||||||
\(24\) | −3.97924 | − | 53.0993i | −0.0338441 | − | 0.451618i | ||||
\(25\) | −41.7357 | − | 12.8737i | −0.333885 | − | 0.102990i | ||||
\(26\) | 6.83441 | − | 1.03012i | 0.0515515 | − | 0.00777013i | ||||
\(27\) | 41.5426 | + | 52.0928i | 0.296107 | + | 0.371306i | ||||
\(28\) | 28.3539 | − | 19.3314i | 0.191371 | − | 0.130475i | ||||
\(29\) | 60.8880 | + | 56.4958i | 0.389884 | + | 0.361759i | 0.850623 | − | 0.525777i | \(-0.176225\pi\) |
−0.460739 | + | 0.887536i | \(0.652416\pi\) | |||||||
\(30\) | 11.1460 | + | 28.3995i | 0.0678324 | + | 0.172834i | ||||
\(31\) | 62.7379 | − | 19.3521i | 0.363486 | − | 0.112121i | −0.107632 | − | 0.994191i | \(-0.534327\pi\) |
0.471118 | + | 0.882070i | \(0.343851\pi\) | |||||||
\(32\) | 84.4763 | − | 40.6816i | 0.466670 | − | 0.224736i | ||||
\(33\) | 16.0293 | − | 40.8420i | 0.0845559 | − | 0.215445i | ||||
\(34\) | −4.84538 | + | 64.6571i | −0.0244404 | + | 0.326135i | ||||
\(35\) | −24.9304 | + | 31.2617i | −0.120400 | + | 0.150977i | ||||
\(36\) | 65.5910 | − | 113.607i | 0.303662 | − | 0.525958i | ||||
\(37\) | −130.912 | − | 226.746i | −0.581669 | − | 1.00748i | −0.995282 | − | 0.0970272i | \(-0.969067\pi\) |
0.413613 | − | 0.910453i | \(-0.364267\pi\) | |||||||
\(38\) | 42.6968 | + | 6.43551i | 0.182272 | + | 0.0274731i | ||||
\(39\) | 80.8968 | + | 38.9579i | 0.332150 | + | 0.159955i | ||||
\(40\) | −53.0972 | + | 49.2670i | −0.209885 | + | 0.194745i | ||||
\(41\) | 54.5075 | − | 238.813i | 0.207625 | − | 0.909666i | −0.758516 | − | 0.651654i | \(-0.774075\pi\) |
0.966142 | − | 0.258012i | \(-0.0830674\pi\) | |||||||
\(42\) | −15.0003 | −0.0551096 | ||||||||
\(43\) | 211.051 | − | 186.988i | 0.748486 | − | 0.663150i | ||||
\(44\) | 51.2221 | 0.175500 | ||||||||
\(45\) | −34.0124 | + | 149.018i | −0.112673 | + | 0.493651i | ||||
\(46\) | 4.76658 | − | 4.42274i | 0.0152781 | − | 0.0141760i | ||||
\(47\) | −513.729 | − | 247.399i | −1.59436 | − | 0.767805i | −0.595009 | − | 0.803719i | \(-0.702852\pi\) |
−0.999355 | + | 0.0359132i | \(0.988566\pi\) | |||||||
\(48\) | 379.019 | + | 57.1279i | 1.13972 | + | 0.171785i | ||||
\(49\) | 161.670 | + | 280.021i | 0.471341 | + | 0.816387i | ||||
\(50\) | −11.1442 | + | 19.3023i | −0.0315205 | + | 0.0545951i | ||||
\(51\) | −525.175 | + | 658.548i | −1.44194 | + | 1.80814i | ||||
\(52\) | −7.83354 | + | 104.531i | −0.0208907 | + | 0.278767i | ||||
\(53\) | 174.520 | − | 444.671i | 0.452306 | − | 1.15246i | −0.504933 | − | 0.863159i | \(-0.668483\pi\) |
0.957239 | − | 0.289299i | \(-0.0934221\pi\) | |||||||
\(54\) | 30.6344 | − | 14.7527i | 0.0772002 | − | 0.0371776i | ||||
\(55\) | −57.0312 | + | 17.5918i | −0.139820 | + | 0.0431287i | ||||
\(56\) | −13.0112 | − | 33.1519i | −0.0310480 | − | 0.0791091i | ||||
\(57\) | 411.198 | + | 381.536i | 0.955517 | + | 0.886591i | ||||
\(58\) | 35.0217 | − | 23.8774i | 0.0792857 | − | 0.0540561i | ||||
\(59\) | 55.0337 | + | 69.0101i | 0.121437 | + | 0.152277i | 0.838834 | − | 0.544388i | \(-0.183238\pi\) |
−0.717397 | + | 0.696665i | \(0.754666\pi\) | |||||||
\(60\) | −457.536 | + | 68.9625i | −0.984462 | + | 0.148384i | ||||
\(61\) | −272.242 | − | 83.9754i | −0.571426 | − | 0.176261i | −0.00444139 | − | 0.999990i | \(-0.501414\pi\) |
−0.566984 | + | 0.823729i | \(0.691890\pi\) | |||||||
\(62\) | −2.50378 | − | 33.4106i | −0.00512872 | − | 0.0684380i | ||||
\(63\) | −62.0944 | − | 42.3352i | −0.124177 | − | 0.0846625i | ||||
\(64\) | 92.2783 | + | 404.298i | 0.180231 | + | 0.789644i | ||||
\(65\) | −27.1785 | − | 119.077i | −0.0518627 | − | 0.227225i | ||||
\(66\) | −18.4994 | − | 12.6126i | −0.0345017 | − | 0.0235229i | ||||
\(67\) | −46.2809 | − | 617.575i | −0.0843897 | − | 1.12610i | −0.865231 | − | 0.501373i | \(-0.832828\pi\) |
0.780842 | − | 0.624729i | \(-0.214791\pi\) | |||||||
\(68\) | −939.678 | − | 289.852i | −1.67577 | − | 0.516908i | ||||
\(69\) | 83.5289 | − | 12.5900i | 0.145735 | − | 0.0219660i | ||||
\(70\) | 12.7222 | + | 15.9532i | 0.0217228 | + | 0.0272395i | ||||
\(71\) | −13.0136 | + | 8.87250i | −0.0217525 | + | 0.0148306i | −0.574147 | − | 0.818752i | \(-0.694666\pi\) |
0.552395 | + | 0.833582i | \(0.313714\pi\) | |||||||
\(72\) | −99.7974 | − | 92.5984i | −0.163350 | − | 0.151567i | ||||
\(73\) | 421.768 | + | 1074.65i | 0.676222 | + | 1.72299i | 0.690752 | + | 0.723092i | \(0.257280\pi\) |
−0.0145291 | + | 0.999894i | \(0.504625\pi\) | |||||||
\(74\) | −127.675 | + | 39.3826i | −0.200567 | + | 0.0618667i | ||||
\(75\) | −260.874 | + | 125.630i | −0.401641 | + | 0.193420i | ||||
\(76\) | −239.252 | + | 609.604i | −0.361106 | + | 0.920083i | ||||
\(77\) | 2.19293 | − | 29.2626i | 0.00324556 | − | 0.0433089i | ||||
\(78\) | 28.5684 | − | 35.8236i | 0.0414709 | − | 0.0520029i | ||||
\(79\) | 373.904 | − | 647.620i | 0.532499 | − | 0.922316i | −0.466781 | − | 0.884373i | \(-0.654586\pi\) |
0.999280 | − | 0.0379425i | \(-0.0120804\pi\) | |||||||
\(80\) | −260.700 | − | 451.545i | −0.364339 | − | 0.631054i | ||||
\(81\) | 889.306 | + | 134.041i | 1.21990 | + | 0.183870i | ||||
\(82\) | −112.624 | − | 54.2367i | −0.151673 | − | 0.0730419i | ||||
\(83\) | −196.368 | + | 182.202i | −0.259688 | + | 0.240956i | −0.799262 | − | 0.600983i | \(-0.794776\pi\) |
0.539573 | + | 0.841939i | \(0.318586\pi\) | |||||||
\(84\) | 50.6239 | − | 221.798i | 0.0657562 | − | 0.288097i | ||||
\(85\) | 1145.79 | 1.46210 | ||||||||
\(86\) | −69.0638 | − | 126.234i | −0.0865970 | − | 0.158281i | ||||
\(87\) | 550.648 | 0.678571 | ||||||||
\(88\) | 11.8287 | − | 51.8251i | 0.0143289 | − | 0.0627792i | ||||
\(89\) | 843.257 | − | 782.428i | 1.00433 | − | 0.931879i | 0.00664784 | − | 0.999978i | \(-0.497884\pi\) |
0.997679 | + | 0.0680992i | \(0.0216934\pi\) | |||||||
\(90\) | 70.2765 | + | 33.8434i | 0.0823088 | + | 0.0396378i | ||||
\(91\) | 59.3822 | + | 8.95043i | 0.0684061 | + | 0.0103106i | ||||
\(92\) | 49.3089 | + | 85.4055i | 0.0558784 | + | 0.0967841i | ||||
\(93\) | 217.627 | − | 376.942i | 0.242655 | − | 0.420291i | ||||
\(94\) | −181.421 | + | 227.495i | −0.199066 | + | 0.249621i | ||||
\(95\) | 57.0222 | − | 760.908i | 0.0615827 | − | 0.821764i | ||||
\(96\) | 227.091 | − | 578.619i | 0.241431 | − | 0.615157i | ||||
\(97\) | 570.736 | − | 274.852i | 0.597417 | − | 0.287701i | −0.110635 | − | 0.993861i | \(-0.535288\pi\) |
0.708052 | + | 0.706160i | \(0.249574\pi\) | |||||||
\(98\) | 157.673 | − | 48.6357i | 0.162524 | − | 0.0501321i | ||||
\(99\) | −40.9822 | − | 104.421i | −0.0416047 | − | 0.106007i | ||||
\(100\) | −247.797 | − | 229.922i | −0.247797 | − | 0.229922i | ||||
\(101\) | −1360.62 | + | 927.655i | −1.34046 | + | 0.913912i | −0.999656 | − | 0.0262209i | \(-0.991653\pi\) |
−0.340807 | + | 0.940133i | \(0.610700\pi\) | |||||||
\(102\) | 268.002 | + | 336.064i | 0.260159 | + | 0.326228i | ||||
\(103\) | −1713.41 | + | 258.256i | −1.63910 | + | 0.247055i | −0.902946 | − | 0.429754i | \(-0.858600\pi\) |
−0.736158 | + | 0.676809i | \(0.763362\pi\) | |||||||
\(104\) | 103.953 | + | 32.0652i | 0.0980135 | + | 0.0302332i | ||||
\(105\) | 19.8094 | + | 264.338i | 0.0184114 | + | 0.245684i | ||||
\(106\) | −201.413 | − | 137.321i | −0.184556 | − | 0.125828i | ||||
\(107\) | 26.9822 | + | 118.217i | 0.0243782 | + | 0.106808i | 0.985653 | − | 0.168783i | \(-0.0539837\pi\) |
−0.961275 | + | 0.275591i | \(0.911127\pi\) | |||||||
\(108\) | 114.750 | + | 502.753i | 0.102239 | + | 0.447939i | ||||
\(109\) | −273.337 | − | 186.358i | −0.240192 | − | 0.163760i | 0.437242 | − | 0.899344i | \(-0.355955\pi\) |
−0.677433 | + | 0.735584i | \(0.736908\pi\) | |||||||
\(110\) | 2.27603 | + | 30.3716i | 0.00197283 | + | 0.0263256i | ||||
\(111\) | −1658.63 | − | 511.619i | −1.41829 | − | 0.437484i | ||||
\(112\) | 253.497 | − | 38.2086i | 0.213868 | − | 0.0322355i | ||||
\(113\) | 718.440 | + | 900.895i | 0.598098 | + | 0.749992i | 0.985080 | − | 0.172096i | \(-0.0550538\pi\) |
−0.386982 | + | 0.922087i | \(0.626482\pi\) | |||||||
\(114\) | 236.514 | − | 161.252i | 0.194312 | − | 0.132479i | ||||
\(115\) | −84.2329 | − | 78.1567i | −0.0683022 | − | 0.0633752i | ||||
\(116\) | 234.862 | + | 598.419i | 0.187986 | + | 0.478981i | ||||
\(117\) | 219.364 | − | 67.6648i | 0.173335 | − | 0.0534668i | ||||
\(118\) | 40.5830 | − | 19.5437i | 0.0316607 | − | 0.0152470i | ||||
\(119\) | −205.819 | + | 524.419i | −0.158550 | + | 0.403978i | ||||
\(120\) | −35.8847 | + | 478.848i | −0.0272984 | + | 0.364272i | ||||
\(121\) | −802.556 | + | 1006.37i | −0.602972 | + | 0.756103i | ||||
\(122\) | −72.6934 | + | 125.909i | −0.0539455 | + | 0.0934363i | ||||
\(123\) | −811.955 | − | 1406.35i | −0.595216 | − | 1.03094i | ||||
\(124\) | 502.465 | + | 75.7344i | 0.363893 | + | 0.0548480i | ||||
\(125\) | 1370.48 | + | 659.988i | 0.980635 | + | 0.472249i | ||||
\(126\) | −28.1136 | + | 26.0856i | −0.0198774 | + | 0.0184436i | ||||
\(127\) | 122.365 | − | 536.115i | 0.0854969 | − | 0.374587i | −0.914020 | − | 0.405669i | \(-0.867038\pi\) |
0.999517 | + | 0.0310829i | \(0.00989558\pi\) | |||||||
\(128\) | 961.716 | 0.664098 | ||||||||
\(129\) | 182.487 | − | 1860.37i | 0.124551 | − | 1.26974i | ||||
\(130\) | −62.3287 | −0.0420507 | ||||||||
\(131\) | −347.398 | + | 1522.05i | −0.231697 | + | 1.01513i | 0.716534 | + | 0.697552i | \(0.245727\pi\) |
−0.948232 | + | 0.317580i | \(0.897130\pi\) | |||||||
\(132\) | 248.925 | − | 230.969i | 0.164138 | − | 0.152297i | ||||
\(133\) | 338.017 | + | 162.781i | 0.220375 | + | 0.106127i | ||||
\(134\) | −312.509 | − | 47.1031i | −0.201468 | − | 0.0303664i | ||||
\(135\) | −300.430 | − | 520.361i | −0.191533 | − | 0.331745i | ||||
\(136\) | −510.264 | + | 883.804i | −0.321727 | + | 0.557247i | ||||
\(137\) | 106.450 | − | 133.484i | 0.0663843 | − | 0.0832433i | −0.747531 | − | 0.664227i | \(-0.768761\pi\) |
0.813915 | + | 0.580984i | \(0.197332\pi\) | |||||||
\(138\) | 3.22140 | − | 42.9866i | 0.00198713 | − | 0.0265164i | ||||
\(139\) | −824.166 | + | 2099.94i | −0.502912 | + | 1.28140i | 0.423844 | + | 0.905735i | \(0.360681\pi\) |
−0.926756 | + | 0.375664i | \(0.877415\pi\) | |||||||
\(140\) | −278.822 | + | 134.273i | −0.168319 | + | 0.0810584i | ||||
\(141\) | −3612.15 | + | 1114.20i | −2.15743 | + | 0.665479i | ||||
\(142\) | 2.93646 | + | 7.48197i | 0.00173537 | + | 0.00442164i | ||||
\(143\) | 65.7081 | + | 60.9682i | 0.0384251 | + | 0.0356533i | ||||
\(144\) | 809.700 | − | 552.044i | 0.468576 | − | 0.319470i | ||||
\(145\) | −467.020 | − | 585.625i | −0.267475 | − | 0.335403i | ||||
\(146\) | 582.548 | − | 87.8050i | 0.330219 | − | 0.0497726i | ||||
\(147\) | 2048.33 | + | 631.827i | 1.14928 | + | 0.354505i | ||||
\(148\) | −151.433 | − | 2020.74i | −0.0841064 | − | 1.12232i | ||||
\(149\) | 4.41084 | + | 3.00726i | 0.00242517 | + | 0.00165345i | 0.564532 | − | 0.825411i | \(-0.309057\pi\) |
−0.562107 | + | 0.827065i | \(0.690009\pi\) | |||||||
\(150\) | 32.8795 | + | 144.055i | 0.0178974 | + | 0.0784134i | ||||
\(151\) | −616.074 | − | 2699.20i | −0.332023 | − | 1.45469i | −0.815208 | − | 0.579168i | \(-0.803378\pi\) |
0.483186 | − | 0.875518i | \(-0.339480\pi\) | |||||||
\(152\) | 561.529 | + | 382.844i | 0.299645 | + | 0.204294i | ||||
\(153\) | 160.935 | + | 2147.53i | 0.0850380 | + | 1.13475i | ||||
\(154\) | −14.3096 | − | 4.41393i | −0.00748767 | − | 0.00230964i | ||||
\(155\) | −585.461 | + | 88.2440i | −0.303389 | + | 0.0457286i | ||||
\(156\) | 433.280 | + | 543.316i | 0.222373 | + | 0.278847i | ||||
\(157\) | 1609.60 | − | 1097.40i | 0.818215 | − | 0.557850i | −0.0803108 | − | 0.996770i | \(-0.525591\pi\) |
0.898526 | + | 0.438920i | \(0.144639\pi\) | |||||||
\(158\) | −279.743 | − | 259.563i | −0.140855 | − | 0.130695i | ||||
\(159\) | −1156.97 | − | 2947.92i | −0.577069 | − | 1.47035i | ||||
\(160\) | −807.975 | + | 249.227i | −0.399225 | + | 0.123145i | ||||
\(161\) | 50.9023 | − | 24.5133i | 0.0249172 | − | 0.0119995i | ||||
\(162\) | 167.673 | − | 427.223i | 0.0813185 | − | 0.207196i | ||||
\(163\) | −70.8205 | + | 945.034i | −0.0340312 | + | 0.454115i | 0.953994 | + | 0.299825i | \(0.0969282\pi\) |
−0.988026 | + | 0.154290i | \(0.950691\pi\) | |||||||
\(164\) | 1182.04 | − | 1482.23i | 0.562816 | − | 0.705749i | ||||
\(165\) | −197.832 | + | 342.654i | −0.0933405 | + | 0.161670i | ||||
\(166\) | 68.3501 | + | 118.386i | 0.0319578 | + | 0.0553526i | ||||
\(167\) | 3367.06 | + | 507.503i | 1.56019 | + | 0.235160i | 0.871682 | − | 0.490072i | \(-0.163030\pi\) |
0.688504 | + | 0.725233i | \(0.258268\pi\) | |||||||
\(168\) | −212.718 | − | 102.440i | −0.0976878 | − | 0.0470440i | ||||
\(169\) | 1476.05 | − | 1369.57i | 0.671846 | − | 0.623382i | ||||
\(170\) | 130.110 | − | 570.051i | 0.0587001 | − | 0.257182i | ||||
\(171\) | 1434.16 | 0.641360 | ||||||||
\(172\) | 2099.60 | − | 595.168i | 0.930775 | − | 0.263844i | ||||
\(173\) | 283.633 | 0.124649 | 0.0623244 | − | 0.998056i | \(-0.480149\pi\) | ||||
0.0623244 | + | 0.998056i | \(0.480149\pi\) | |||||||
\(174\) | 62.5287 | − | 273.956i | 0.0272430 | − | 0.119360i | ||||
\(175\) | −141.961 | + | 131.720i | −0.0613213 | + | 0.0568978i | ||||
\(176\) | 344.755 | + | 166.025i | 0.147653 | + | 0.0711059i | ||||
\(177\) | 578.627 | + | 87.2140i | 0.245719 | + | 0.0370362i | ||||
\(178\) | −293.514 | − | 508.382i | −0.123595 | − | 0.214072i | ||||
\(179\) | −1525.18 | + | 2641.69i | −0.636855 | + | 1.10307i | 0.349263 | + | 0.937025i | \(0.386432\pi\) |
−0.986119 | + | 0.166041i | \(0.946901\pi\) | |||||||
\(180\) | −737.587 | + | 924.904i | −0.305425 | + | 0.382991i | ||||
\(181\) | 201.618 | − | 2690.41i | 0.0827966 | − | 1.10484i | −0.788810 | − | 0.614637i | \(-0.789302\pi\) |
0.871606 | − | 0.490206i | \(-0.163079\pi\) | |||||||
\(182\) | 11.1961 | − | 28.5272i | 0.00455995 | − | 0.0116186i | ||||
\(183\) | −1701.68 | + | 819.485i | −0.687386 | + | 0.331028i | ||||
\(184\) | 97.7978 | − | 30.1666i | 0.0391834 | − | 0.0120865i | ||||
\(185\) | 862.613 | + | 2197.90i | 0.342814 | + | 0.873476i | ||||
\(186\) | −162.822 | − | 151.077i | −0.0641864 | − | 0.0595563i | ||||
\(187\) | −694.773 | + | 473.688i | −0.271694 | + | 0.185238i | ||||
\(188\) | −2751.51 | − | 3450.29i | −1.06742 | − | 1.33850i | ||||
\(189\) | 292.130 | − | 44.0316i | 0.112430 | − | 0.0169462i | ||||
\(190\) | −372.089 | − | 114.774i | −0.142075 | − | 0.0438242i | ||||
\(191\) | 177.429 | + | 2367.62i | 0.0672162 | + | 0.896938i | 0.924277 | + | 0.381723i | \(0.124669\pi\) |
−0.857061 | + | 0.515215i | \(0.827712\pi\) | |||||||
\(192\) | 2271.49 | + | 1548.68i | 0.853807 | + | 0.582116i | ||||
\(193\) | −81.5723 | − | 357.391i | −0.0304233 | − | 0.133293i | 0.957436 | − | 0.288647i | \(-0.0932054\pi\) |
−0.987859 | + | 0.155354i | \(0.950348\pi\) | |||||||
\(194\) | −71.9335 | − | 315.161i | −0.0266212 | − | 0.116635i | ||||
\(195\) | −669.016 | − | 456.127i | −0.245688 | − | 0.167507i | ||||
\(196\) | 187.013 | + | 2495.52i | 0.0681536 | + | 0.909446i | ||||
\(197\) | −545.260 | − | 168.190i | −0.197199 | − | 0.0608278i | 0.194582 | − | 0.980886i | \(-0.437665\pi\) |
−0.391781 | + | 0.920058i | \(0.628141\pi\) | |||||||
\(198\) | −56.6047 | + | 8.53179i | −0.0203168 | + | 0.00306226i | ||||
\(199\) | −154.030 | − | 193.148i | −0.0548690 | − | 0.0688035i | 0.753640 | − | 0.657288i | \(-0.228296\pi\) |
−0.808509 | + | 0.588484i | \(0.799725\pi\) | |||||||
\(200\) | −289.852 | + | 197.618i | −0.102478 | + | 0.0698685i | ||||
\(201\) | −3009.66 | − | 2792.56i | −1.05615 | − | 0.979960i | ||||
\(202\) | 307.018 | + | 782.270i | 0.106939 | + | 0.272477i | ||||
\(203\) | 351.926 | − | 108.555i | 0.121677 | − | 0.0375322i | ||||
\(204\) | −5873.57 | + | 2828.56i | −2.01584 | + | 0.970779i | ||||
\(205\) | −807.036 | + | 2056.29i | −0.274955 | + | 0.700575i | ||||
\(206\) | −66.0800 | + | 881.777i | −0.0223496 | + | 0.298234i | ||||
\(207\) | 134.655 | − | 168.853i | 0.0452135 | − | 0.0566960i | ||||
\(208\) | −391.540 | + | 678.168i | −0.130521 | + | 0.226070i | ||||
\(209\) | 279.994 | + | 484.964i | 0.0926679 | + | 0.160506i | ||||
\(210\) | 133.762 | + | 20.1614i | 0.0439545 | + | 0.00662508i | ||||
\(211\) | −3569.47 | − | 1718.96i | −1.16461 | − | 0.560845i | −0.251217 | − | 0.967931i | \(-0.580831\pi\) |
−0.913390 | + | 0.407085i | \(0.866545\pi\) | |||||||
\(212\) | 2710.19 | − | 2514.69i | 0.878004 | − | 0.814668i | ||||
\(213\) | −23.2348 | + | 101.798i | −0.00747428 | + | 0.0327469i | ||||
\(214\) | 61.8787 | 0.0197661 | ||||||||
\(215\) | −2133.32 | + | 1383.76i | −0.676702 | + | 0.438937i | ||||
\(216\) | 535.171 | 0.168582 | ||||||||
\(217\) | 64.7780 | − | 283.811i | 0.0202646 | − | 0.0887849i | ||||
\(218\) | −123.755 | + | 114.827i | −0.0384482 | + | 0.0356747i | ||||
\(219\) | 6895.44 | + | 3320.67i | 2.12763 | + | 1.02461i | ||||
\(220\) | −456.760 | − | 68.8455i | −0.139976 | − | 0.0210980i | ||||
\(221\) | −860.424 | − | 1490.30i | −0.261893 | − | 0.453612i | ||||
\(222\) | −442.884 | + | 767.097i | −0.133894 | + | 0.231911i | ||||
\(223\) | 2452.88 | − | 3075.81i | 0.736578 | − | 0.923640i | −0.262570 | − | 0.964913i | \(-0.584570\pi\) |
0.999148 | + | 0.0412731i | \(0.0131414\pi\) | |||||||
\(224\) | 31.0678 | − | 414.571i | 0.00926698 | − | 0.123659i | ||||
\(225\) | −270.457 | + | 689.114i | −0.0801355 | + | 0.204182i | ||||
\(226\) | 529.792 | − | 255.134i | 0.155935 | − | 0.0750941i | ||||
\(227\) | −1116.08 | + | 344.266i | −0.326330 | + | 0.100660i | −0.453592 | − | 0.891210i | \(-0.649858\pi\) |
0.127261 | + | 0.991869i | \(0.459381\pi\) | |||||||
\(228\) | 1586.11 | + | 4041.33i | 0.460712 | + | 1.17388i | ||||
\(229\) | −3643.10 | − | 3380.30i | −1.05128 | − | 0.975444i | −0.0515487 | − | 0.998670i | \(-0.516416\pi\) |
−0.999730 | + | 0.0232262i | \(0.992606\pi\) | |||||||
\(230\) | −48.4492 | + | 33.0321i | −0.0138898 | + | 0.00946989i | ||||
\(231\) | −121.293 | − | 152.097i | −0.0345476 | − | 0.0433213i | ||||
\(232\) | 659.700 | − | 99.4338i | 0.186687 | − | 0.0281386i | ||||
\(233\) | 3395.67 | + | 1047.42i | 0.954753 | + | 0.294502i | 0.732715 | − | 0.680536i | \(-0.238253\pi\) |
0.222038 | + | 0.975038i | \(0.428729\pi\) | |||||||
\(234\) | −8.75450 | − | 116.821i | −0.00244573 | − | 0.0326359i | ||||
\(235\) | 4248.54 | + | 2896.60i | 1.17934 | + | 0.804058i | ||||
\(236\) | 152.016 | + | 666.024i | 0.0419295 | + | 0.183705i | ||||
\(237\) | −1103.16 | − | 4833.25i | −0.302353 | − | 1.32470i | ||||
\(238\) | 237.535 | + | 161.949i | 0.0646937 | + | 0.0441074i | ||||
\(239\) | 182.823 | + | 2439.61i | 0.0494806 | + | 0.660272i | 0.965711 | + | 0.259620i | \(0.0835973\pi\) |
−0.916230 | + | 0.400652i | \(0.868784\pi\) | |||||||
\(240\) | −3303.02 | − | 1018.85i | −0.888372 | − | 0.274026i | ||||
\(241\) | −2169.13 | + | 326.943i | −0.579775 | + | 0.0873870i | −0.432381 | − | 0.901691i | \(-0.642326\pi\) |
−0.147394 | + | 0.989078i | \(0.547088\pi\) | |||||||
\(242\) | 409.552 | + | 513.563i | 0.108789 | + | 0.136418i | ||||
\(243\) | 3439.80 | − | 2345.22i | 0.908080 | − | 0.619118i | ||||
\(244\) | −1616.38 | − | 1499.78i | −0.424090 | − | 0.393498i | ||||
\(245\) | −1065.29 | − | 2714.31i | −0.277791 | − | 0.707800i | ||||
\(246\) | −791.882 | + | 244.263i | −0.205238 | + | 0.0633075i | ||||
\(247\) | −1032.51 | + | 497.230i | −0.265980 | + | 0.128089i | ||||
\(248\) | 192.660 | − | 490.891i | 0.0493304 | − | 0.125692i | ||||
\(249\) | −132.711 | + | 1770.91i | −0.0337760 | + | 0.450710i | ||||
\(250\) | 483.979 | − | 606.890i | 0.122438 | − | 0.153532i | ||||
\(251\) | −2297.20 | + | 3978.87i | −0.577681 | + | 1.00057i | 0.418063 | + | 0.908418i | \(0.362709\pi\) |
−0.995745 | + | 0.0921556i | \(0.970624\pi\) | |||||||
\(252\) | −290.827 | − | 503.727i | −0.0726999 | − | 0.125920i | ||||
\(253\) | 83.3872 | + | 12.5686i | 0.0207214 | + | 0.00312325i | ||||
\(254\) | −252.830 | − | 121.757i | −0.0624567 | − | 0.0300775i | ||||
\(255\) | 5568.25 | − | 5166.58i | 1.36744 | − | 1.26880i | ||||
\(256\) | −629.019 | + | 2755.91i | −0.153569 | + | 0.672830i | ||||
\(257\) | −1670.64 | −0.405494 | −0.202747 | − | 0.979231i | \(-0.564987\pi\) | ||||
−0.202747 | + | 0.979231i | \(0.564987\pi\) | |||||||
\(258\) | −904.843 | − | 302.044i | −0.218345 | − | 0.0728855i | ||||
\(259\) | −1160.91 | −0.278515 | ||||||||
\(260\) | 210.350 | − | 921.603i | 0.0501744 | − | 0.219828i | ||||
\(261\) | 1032.02 | − | 957.576i | 0.244753 | − | 0.227098i | ||||
\(262\) | 717.796 | + | 345.672i | 0.169258 | + | 0.0815103i | ||||
\(263\) | 7286.39 | + | 1098.25i | 1.70836 | + | 0.257494i | 0.929265 | − | 0.369414i | \(-0.120442\pi\) |
0.779093 | + | 0.626908i | \(0.215680\pi\) | |||||||
\(264\) | −176.203 | − | 305.193i | −0.0410779 | − | 0.0711490i | ||||
\(265\) | −2153.91 | + | 3730.68i | −0.499296 | + | 0.864806i | ||||
\(266\) | 119.369 | − | 149.684i | 0.0275151 | − | 0.0345028i | ||||
\(267\) | 569.899 | − | 7604.77i | 0.130626 | − | 1.74309i | ||||
\(268\) | 1751.14 | − | 4461.84i | 0.399135 | − | 1.01698i | ||||
\(269\) | 4353.36 | − | 2096.47i | 0.986726 | − | 0.475182i | 0.130313 | − | 0.991473i | \(-0.458402\pi\) |
0.856413 | + | 0.516291i | \(0.172688\pi\) | |||||||
\(270\) | −293.003 | + | 90.3794i | −0.0660429 | + | 0.0203715i | ||||
\(271\) | 716.617 | + | 1825.91i | 0.160632 | + | 0.409285i | 0.988417 | − | 0.151761i | \(-0.0484944\pi\) |
−0.827785 | + | 0.561046i | \(0.810399\pi\) | |||||||
\(272\) | −5385.10 | − | 4996.65i | −1.20044 | − | 1.11385i | ||||
\(273\) | 328.940 | − | 224.268i | 0.0729245 | − | 0.0497191i | ||||
\(274\) | −54.3226 | − | 68.1184i | −0.0119772 | − | 0.0150189i | ||||
\(275\) | −285.828 | + | 43.0817i | −0.0626767 | + | 0.00944699i | ||||
\(276\) | 624.735 | + | 192.705i | 0.136249 | + | 0.0420272i | ||||
\(277\) | 498.089 | + | 6646.53i | 0.108041 | + | 1.44170i | 0.743070 | + | 0.669214i | \(0.233369\pi\) |
−0.635029 | + | 0.772488i | \(0.719012\pi\) | |||||||
\(278\) | 951.165 | + | 648.493i | 0.205205 | + | 0.139907i | ||||
\(279\) | −247.625 | − | 1084.92i | −0.0531359 | − | 0.232803i | ||||
\(280\) | 71.4657 | + | 313.112i | 0.0152532 | + | 0.0668286i | ||||
\(281\) | 1924.31 | + | 1311.97i | 0.408521 | + | 0.278525i | 0.750095 | − | 0.661330i | \(-0.230008\pi\) |
−0.341574 | + | 0.939855i | \(0.610960\pi\) | |||||||
\(282\) | 144.156 | + | 1923.62i | 0.0304409 | + | 0.406206i | ||||
\(283\) | 2061.63 | + | 635.930i | 0.433044 | + | 0.133576i | 0.503611 | − | 0.863931i | \(-0.332005\pi\) |
−0.0705669 | + | 0.997507i | \(0.522481\pi\) | |||||||
\(284\) | −120.540 | + | 18.1684i | −0.0251856 | + | 0.00379612i | ||||
\(285\) | −3153.95 | − | 3954.93i | −0.655522 | − | 0.821999i | ||||
\(286\) | 37.7941 | − | 25.7676i | 0.00781403 | − | 0.00532752i | ||||
\(287\) | −796.177 | − | 738.745i | −0.163752 | − | 0.151940i | ||||
\(288\) | −580.604 | − | 1479.36i | −0.118793 | − | 0.302680i | ||||
\(289\) | 10731.5 | − | 3310.22i | 2.18430 | − | 0.673768i | ||||
\(290\) | −344.390 | + | 165.849i | −0.0697354 | + | 0.0335828i | ||||
\(291\) | 1534.27 | − | 3909.25i | 0.309073 | − | 0.787506i | ||||
\(292\) | −667.711 | + | 8909.98i | −0.133818 | + | 1.78568i | ||||
\(293\) | −4065.80 | + | 5098.35i | −0.810671 | + | 1.01655i | 0.188733 | + | 0.982028i | \(0.439562\pi\) |
−0.999404 | + | 0.0345208i | \(0.989009\pi\) | |||||||
\(294\) | 546.942 | − | 947.331i | 0.108498 | − | 0.187923i | ||||
\(295\) | −397.996 | − | 689.350i | −0.0785499 | − | 0.136052i | ||||
\(296\) | −2079.50 | − | 313.434i | −0.408339 | − | 0.0615471i | ||||
\(297\) | 397.296 | + | 191.328i | 0.0776210 | + | 0.0373803i | ||||
\(298\) | 1.99703 | − | 1.85297i | 0.000388204 | − | 0.000360201i | ||||
\(299\) | −38.4020 | + | 168.250i | −0.00742757 | + | 0.0325423i | ||||
\(300\) | −2240.98 | −0.431277 | ||||||||
\(301\) | −250.125 | − | 1224.96i | −0.0478968 | − | 0.234570i | ||||
\(302\) | −1412.85 | −0.269207 | ||||||||
\(303\) | −2429.29 | + | 10643.4i | −0.460591 | + | 2.01798i | ||||
\(304\) | −3586.21 | + | 3327.52i | −0.676590 | + | 0.627783i | ||||
\(305\) | 2314.78 | + | 1114.74i | 0.434570 | + | 0.209278i | ||||
\(306\) | 1086.70 | + | 163.794i | 0.203015 | + | 0.0305996i | ||||
\(307\) | −3516.33 | − | 6090.45i | −0.653704 | − | 1.13225i | −0.982217 | − | 0.187750i | \(-0.939881\pi\) |
0.328512 | − | 0.944500i | \(-0.393453\pi\) | |||||||
\(308\) | 113.558 | − | 196.688i | 0.0210083 | − | 0.0363875i | ||||
\(309\) | −7162.20 | + | 8981.12i | −1.31859 | + | 1.65346i | ||||
\(310\) | −22.5790 | + | 301.296i | −0.00413678 | + | 0.0552016i | ||||
\(311\) | −294.293 | + | 749.847i | −0.0536586 | + | 0.136720i | −0.955190 | − | 0.295995i | \(-0.904349\pi\) |
0.901531 | + | 0.432715i | \(0.142444\pi\) | |||||||
\(312\) | 649.769 | − | 312.912i | 0.117904 | − | 0.0567794i | ||||
\(313\) | −9426.47 | + | 2907.68i | −1.70229 | + | 0.525086i | −0.985128 | − | 0.171824i | \(-0.945034\pi\) |
−0.717159 | + | 0.696910i | \(0.754558\pi\) | |||||||
\(314\) | −363.199 | − | 925.415i | −0.0652754 | − | 0.166319i | ||||
\(315\) | 496.810 | + | 460.973i | 0.0888638 | + | 0.0824536i | ||||
\(316\) | 4782.03 | − | 3260.34i | 0.851299 | − | 0.580406i | ||||
\(317\) | −3708.47 | − | 4650.28i | −0.657061 | − | 0.823929i | 0.335958 | − | 0.941877i | \(-0.390940\pi\) |
−0.993020 | + | 0.117948i | \(0.962368\pi\) | |||||||
\(318\) | −1598.02 | + | 240.862i | −0.281800 | + | 0.0424745i | ||||
\(319\) | 525.292 | + | 162.031i | 0.0921965 | + | 0.0284389i | ||||
\(320\) | −279.469 | − | 3729.25i | −0.0488212 | − | 0.651474i | ||||
\(321\) | 664.185 | + | 452.834i | 0.115487 | + | 0.0787375i | ||||
\(322\) | −6.41554 | − | 28.1083i | −0.00111032 | − | 0.00486464i | ||||
\(323\) | −2392.26 | − | 10481.2i | −0.412101 | − | 1.80553i | ||||
\(324\) | 5751.12 | + | 3921.05i | 0.986132 | + | 0.672333i | ||||
\(325\) | −44.2063 | − | 589.892i | −0.00754499 | − | 0.100681i | ||||
\(326\) | 462.127 | + | 142.547i | 0.0785118 | + | 0.0242177i | ||||
\(327\) | −2168.66 | + | 326.873i | −0.366749 | + | 0.0552786i | ||||
\(328\) | −1226.71 | − | 1538.25i | −0.206505 | − | 0.258950i | ||||
\(329\) | −2088.91 | + | 1424.20i | −0.350047 | + | 0.238658i | ||||
\(330\) | 148.011 | + | 137.334i | 0.0246902 | + | 0.0229091i | ||||
\(331\) | −236.674 | − | 603.035i | −0.0393014 | − | 0.100138i | 0.909876 | − | 0.414881i | \(-0.136177\pi\) |
−0.949177 | + | 0.314743i | \(0.898082\pi\) | |||||||
\(332\) | −1981.15 | + | 611.102i | −0.327498 | + | 0.101020i | ||||
\(333\) | −3998.30 | + | 1925.48i | −0.657974 | + | 0.316864i | ||||
\(334\) | 634.836 | − | 1617.54i | 0.104002 | − | 0.264993i | ||||
\(335\) | −417.360 | + | 5569.28i | −0.0680681 | + | 0.908306i | ||||
\(336\) | 1059.64 | − | 1328.75i | 0.172048 | − | 0.215741i | ||||
\(337\) | −3524.99 | + | 6105.47i | −0.569788 | + | 0.986902i | 0.426798 | + | 0.904347i | \(0.359641\pi\) |
−0.996586 | + | 0.0825553i | \(0.973692\pi\) | |||||||
\(338\) | −513.771 | − | 889.877i | −0.0826788 | − | 0.143204i | ||||
\(339\) | 7553.70 | + | 1138.54i | 1.21021 | + | 0.182410i | ||||
\(340\) | 7989.77 | + | 3847.67i | 1.27443 | + | 0.613733i | ||||
\(341\) | 318.523 | − | 295.546i | 0.0505835 | − | 0.0469347i | ||||
\(342\) | 162.855 | − | 713.515i | 0.0257491 | − | 0.112814i | ||||
\(343\) | 2954.51 | 0.465098 | ||||||||
\(344\) | −117.312 | − | 2261.76i | −0.0183867 | − | 0.354494i | ||||
\(345\) | −761.770 | −0.118876 | ||||||||
\(346\) | 32.2079 | − | 141.112i | 0.00500436 | − | 0.0219255i | ||||
\(347\) | −4449.96 | + | 4128.96i | −0.688433 | + | 0.638773i | −0.944739 | − | 0.327823i | \(-0.893685\pi\) |
0.256306 | + | 0.966596i | \(0.417495\pi\) | |||||||
\(348\) | 3839.74 | + | 1849.12i | 0.591470 | + | 0.284837i | ||||
\(349\) | 4242.89 | + | 639.512i | 0.650763 | + | 0.0980868i | 0.466124 | − | 0.884719i | \(-0.345650\pi\) |
0.184640 | + | 0.982806i | \(0.440888\pi\) | |||||||
\(350\) | 49.4126 | + | 85.5852i | 0.00754633 | + | 0.0130706i | ||||
\(351\) | −451.211 | + | 781.520i | −0.0686149 | + | 0.118845i | ||||
\(352\) | 386.896 | − | 485.152i | 0.0585841 | − | 0.0734622i | ||||
\(353\) | 884.048 | − | 11796.8i | 0.133295 | − | 1.77870i | −0.384433 | − | 0.923153i | \(-0.625603\pi\) |
0.517728 | − | 0.855545i | \(-0.326778\pi\) | |||||||
\(354\) | 109.096 | − | 277.972i | 0.0163796 | − | 0.0417347i | ||||
\(355\) | 127.970 | − | 61.6273i | 0.0191323 | − | 0.00921363i | ||||
\(356\) | 8507.59 | − | 2624.24i | 1.26658 | − | 0.390687i | ||||
\(357\) | 1364.47 | + | 3476.60i | 0.202284 | + | 0.515410i | ||||
\(358\) | 1141.09 | + | 1058.78i | 0.168459 | + | 0.156307i | ||||
\(359\) | −2513.88 | + | 1713.94i | −0.369576 | + | 0.251973i | −0.733839 | − | 0.679324i | \(-0.762273\pi\) |
0.364263 | + | 0.931296i | \(0.381321\pi\) | |||||||
\(360\) | 765.461 | + | 959.858i | 0.112065 | + | 0.140525i | ||||
\(361\) | −297.075 | + | 44.7768i | −0.0433117 | + | 0.00652819i | ||||
\(362\) | −1315.63 | − | 405.817i | −0.191016 | − | 0.0589207i | ||||
\(363\) | 637.703 | + | 8509.55i | 0.0922058 | + | 1.23040i | ||||
\(364\) | 384.023 | + | 261.823i | 0.0552975 | + | 0.0377012i | ||||
\(365\) | −2316.62 | − | 10149.8i | −0.332213 | − | 1.45552i | ||||
\(366\) | 214.473 | + | 939.668i | 0.0306303 | + | 0.134200i | ||||
\(367\) | −1372.67 | − | 935.868i | −0.195239 | − | 0.133112i | 0.461755 | − | 0.887007i | \(-0.347220\pi\) |
−0.656994 | + | 0.753896i | \(0.728172\pi\) | |||||||
\(368\) | 55.0548 | + | 734.655i | 0.00779872 | + | 0.104067i | ||||
\(369\) | −3967.40 | − | 1223.78i | −0.559714 | − | 0.172649i | ||||
\(370\) | 1191.44 | − | 179.581i | 0.167406 | − | 0.0252324i | ||||
\(371\) | −1320.59 | − | 1655.96i | −0.184802 | − | 0.231734i | ||||
\(372\) | 2783.34 | − | 1897.65i | 0.387929 | − | 0.264485i | ||||
\(373\) | −802.663 | − | 744.762i | −0.111422 | − | 0.103384i | 0.622495 | − | 0.782624i | \(-0.286119\pi\) |
−0.733916 | + | 0.679240i | \(0.762310\pi\) | |||||||
\(374\) | 156.773 | + | 399.450i | 0.0216752 | + | 0.0552275i | ||||
\(375\) | 9636.15 | − | 2972.36i | 1.32696 | − | 0.409312i | ||||
\(376\) | −4126.31 | + | 1987.13i | −0.565953 | + | 0.272548i | ||||
\(377\) | −410.999 | + | 1047.21i | −0.0561472 | + | 0.143061i | ||||
\(378\) | 11.2664 | − | 150.339i | 0.00153302 | − | 0.0204567i | ||||
\(379\) | 5392.80 | − | 6762.36i | 0.730896 | − | 0.916515i | −0.268003 | − | 0.963418i | \(-0.586364\pi\) |
0.998899 | + | 0.0469032i | \(0.0149352\pi\) | |||||||
\(380\) | 2952.81 | − | 5114.42i | 0.398621 | − | 0.690433i | ||||
\(381\) | −1822.77 | − | 3157.13i | −0.245101 | − | 0.424527i | ||||
\(382\) | 1198.08 | + | 180.581i | 0.160468 | + | 0.0241867i | ||||
\(383\) | −10296.9 | − | 4958.71i | −1.37375 | − | 0.661561i | −0.406090 | − | 0.913833i | \(-0.633108\pi\) |
−0.967656 | + | 0.252272i | \(0.918822\pi\) | |||||||
\(384\) | 4673.67 | − | 4336.54i | 0.621100 | − | 0.576297i | ||||
\(385\) | −58.8857 | + | 257.995i | −0.00779504 | + | 0.0341523i | ||||
\(386\) | −187.071 | −0.0246675 | ||||||||
\(387\) | −2893.17 | − | 3804.05i | −0.380021 | − | 0.499665i | ||||
\(388\) | 4902.79 | 0.641499 | ||||||||
\(389\) | 467.938 | − | 2050.17i | 0.0609908 | − | 0.267218i | −0.935234 | − | 0.354030i | \(-0.884811\pi\) |
0.996225 | + | 0.0868124i | \(0.0276681\pi\) | |||||||
\(390\) | −302.900 | + | 281.051i | −0.0393281 | + | 0.0364911i | ||||
\(391\) | −1458.63 | − | 702.439i | −0.188660 | − | 0.0908539i | ||||
\(392\) | 2568.08 | + | 387.076i | 0.330887 | + | 0.0498732i | ||||
\(393\) | 5174.92 | + | 8963.23i | 0.664224 | + | 1.15047i | ||||
\(394\) | −145.594 | + | 252.177i | −0.0186166 | + | 0.0322448i | ||||
\(395\) | −4204.63 | + | 5272.44i | −0.535590 | + | 0.671609i | ||||
\(396\) | 64.8798 | − | 865.761i | 0.00823317 | − | 0.109864i | ||||
\(397\) | 3278.90 | − | 8354.50i | 0.414517 | − | 1.05617i | −0.559325 | − | 0.828948i | \(-0.688940\pi\) |
0.973842 | − | 0.227224i | \(-0.0729650\pi\) | |||||||
\(398\) | −113.585 | + | 54.6997i | −0.0143053 | + | 0.00688907i | ||||
\(399\) | 2376.68 | − | 733.107i | 0.298202 | − | 0.0919831i | ||||
\(400\) | −922.579 | − | 2350.69i | −0.115322 | − | 0.293837i | ||||
\(401\) | 6081.44 | + | 5642.75i | 0.757338 | + | 0.702707i | 0.961065 | − | 0.276321i | \(-0.0891152\pi\) |
−0.203728 | + | 0.979028i | \(0.565306\pi\) | |||||||
\(402\) | −1731.10 | + | 1180.25i | −0.214775 | + | 0.146431i | ||||
\(403\) | 554.422 | + | 695.223i | 0.0685303 | + | 0.0859343i | ||||
\(404\) | −12602.9 | + | 1899.58i | −1.55203 | + | 0.233930i | ||||
\(405\) | −7750.01 | − | 2390.56i | −0.950867 | − | 0.293304i | ||||
\(406\) | −14.0448 | − | 187.415i | −0.00171683 | − | 0.0229095i | ||||
\(407\) | −1431.71 | − | 976.120i | −0.174366 | − | 0.118881i | ||||
\(408\) | 1505.47 | + | 6595.91i | 0.182677 | + | 0.800358i | ||||
\(409\) | −73.8726 | − | 323.657i | −0.00893097 | − | 0.0391291i | 0.970266 | − | 0.242041i | \(-0.0778167\pi\) |
−0.979197 | + | 0.202912i | \(0.934960\pi\) | |||||||
\(410\) | 931.396 | + | 635.015i | 0.112191 | + | 0.0764906i | ||||
\(411\) | −84.5842 | − | 1128.70i | −0.0101514 | − | 0.135461i | ||||
\(412\) | −12815.1 | − | 3952.93i | −1.53241 | − | 0.472687i | ||||
\(413\) | 387.001 | − | 58.3310i | 0.0461091 | − | 0.00694983i | ||||
\(414\) | −68.7161 | − | 86.1672i | −0.00815751 | − | 0.0102292i | ||||
\(415\) | 1995.95 | − | 1360.82i | 0.236090 | − | 0.160963i | ||||
\(416\) | 930.903 | + | 863.752i | 0.109715 | + | 0.101800i | ||||
\(417\) | 5463.76 | + | 13921.4i | 0.641634 | + | 1.63486i | ||||
\(418\) | 273.072 | − | 84.2315i | 0.0319531 | − | 0.00985622i | ||||
\(419\) | 1627.00 | − | 783.523i | 0.189700 | − | 0.0913546i | −0.336623 | − | 0.941640i | \(-0.609285\pi\) |
0.526323 | + | 0.850285i | \(0.323570\pi\) | |||||||
\(420\) | −749.535 | + | 1909.78i | −0.0870799 | + | 0.221876i | ||||
\(421\) | −546.507 | + | 7292.64i | −0.0632664 | + | 0.844231i | 0.871823 | + | 0.489820i | \(0.162938\pi\) |
−0.935090 | + | 0.354411i | \(0.884681\pi\) | |||||||
\(422\) | −1260.54 | + | 1580.67i | −0.145408 | + | 0.182336i | ||||
\(423\) | −4832.27 | + | 8369.74i | −0.555445 | + | 0.962059i | ||||
\(424\) | −1918.43 | − | 3322.81i | −0.219734 | − | 0.380590i | ||||
\(425\) | 5487.36 | + | 827.086i | 0.626296 | + | 0.0943990i | ||||
\(426\) | 48.0078 | + | 23.1193i | 0.00546006 | + | 0.00262943i | ||||
\(427\) | −926.009 | + | 859.211i | −0.104948 | + | 0.0973774i | ||||
\(428\) | −208.831 | + | 914.949i | −0.0235847 | + | 0.103331i | ||||
\(429\) | 594.239 | 0.0668768 | ||||||||
\(430\) | 446.193 | + | 1218.49i | 0.0500404 | + | 0.136653i | ||||
\(431\) | 15442.7 | 1.72587 | 0.862934 | − | 0.505317i | \(-0.168625\pi\) | ||||
0.862934 | + | 0.505317i | \(0.168625\pi\) | |||||||
\(432\) | −857.230 | + | 3755.77i | −0.0954710 | + | 0.418286i | ||||
\(433\) | 10885.1 | − | 10099.9i | 1.20809 | − | 1.12095i | 0.218682 | − | 0.975796i | \(-0.429824\pi\) |
0.989410 | − | 0.145150i | \(-0.0463663\pi\) | |||||||
\(434\) | −133.844 | − | 64.4561i | −0.0148036 | − | 0.00712901i | ||||
\(435\) | −4910.27 | − | 740.104i | −0.541217 | − | 0.0815753i | ||||
\(436\) | −1280.21 | − | 2217.38i | −0.140621 | − | 0.243563i | ||||
\(437\) | −539.072 | + | 933.701i | −0.0590099 | + | 0.102208i | ||||
\(438\) | 2435.10 | − | 3053.51i | 0.265647 | − | 0.333111i | ||||
\(439\) | −909.148 | + | 12131.7i | −0.0988412 | + | 1.31894i | 0.698585 | + | 0.715527i | \(0.253814\pi\) |
−0.797426 | + | 0.603417i | \(0.793806\pi\) | |||||||
\(440\) | −175.136 | + | 446.239i | −0.0189756 | + | 0.0483491i | ||||
\(441\) | 4937.72 | − | 2377.88i | 0.533173 | − | 0.256763i | ||||
\(442\) | −839.152 | + | 258.844i | −0.0903040 | + | 0.0278551i | ||||
\(443\) | 73.3075 | + | 186.785i | 0.00786218 | + | 0.0200325i | 0.934751 | − | 0.355304i | \(-0.115623\pi\) |
−0.926889 | + | 0.375336i | \(0.877527\pi\) | |||||||
\(444\) | −9847.77 | − | 9137.39i | −1.05260 | − | 0.976670i | ||||
\(445\) | −8571.17 | + | 5843.72i | −0.913061 | + | 0.622515i | ||||
\(446\) | −1251.73 | − | 1569.62i | −0.132895 | − | 0.166645i | ||||
\(447\) | 34.9957 | − | 5.27475i | 0.00370300 | − | 0.000558137i | ||||
\(448\) | 1757.04 | + | 541.976i | 0.185296 | + | 0.0571562i | ||||
\(449\) | −552.959 | − | 7378.72i | −0.0581197 | − | 0.775553i | −0.947779 | − | 0.318928i | \(-0.896677\pi\) |
0.889659 | − | 0.456625i | \(-0.150942\pi\) | |||||||
\(450\) | 312.133 | + | 212.809i | 0.0326980 | + | 0.0222931i | ||||
\(451\) | −360.741 | − | 1580.51i | −0.0376644 | − | 0.165018i | ||||
\(452\) | 1984.49 | + | 8694.63i | 0.206510 | + | 0.904781i | ||||
\(453\) | −15165.1 | − | 10339.4i | −1.57289 | − | 1.07238i | ||||
\(454\) | 44.5412 | + | 594.361i | 0.00460446 | + | 0.0614422i | ||||
\(455\) | −517.497 | − | 159.627i | −0.0533200 | − | 0.0164471i | ||||
\(456\) | 4455.19 | − | 671.511i | 0.457529 | − | 0.0689614i | ||||
\(457\) | 5378.03 | + | 6743.83i | 0.550489 | + | 0.690292i | 0.976768 | − | 0.214300i | \(-0.0687471\pi\) |
−0.426279 | + | 0.904592i | \(0.640176\pi\) | |||||||
\(458\) | −2095.45 | + | 1428.65i | −0.213785 | + | 0.145756i | ||||
\(459\) | −6205.79 | − | 5758.13i | −0.631071 | − | 0.585548i | ||||
\(460\) | −324.910 | − | 827.857i | −0.0329326 | − | 0.0839109i | ||||
\(461\) | −11153.2 | + | 3440.31i | −1.12680 | + | 0.347573i | −0.801475 | − | 0.598028i | \(-0.795951\pi\) |
−0.325328 | + | 0.945601i | \(0.605475\pi\) | |||||||
\(462\) | −89.4439 | + | 43.0739i | −0.00900716 | + | 0.00433762i | ||||
\(463\) | −4249.76 | + | 10828.2i | −0.426572 | + | 1.08689i | 0.542488 | + | 0.840064i | \(0.317482\pi\) |
−0.969060 | + | 0.246825i | \(0.920613\pi\) | |||||||
\(464\) | −358.884 | + | 4788.98i | −0.0359069 | + | 0.479144i | ||||
\(465\) | −2447.27 | + | 3068.78i | −0.244063 | + | 0.306046i | ||||
\(466\) | 906.704 | − | 1570.46i | 0.0901336 | − | 0.156116i | ||||
\(467\) | 870.207 | + | 1507.24i | 0.0862277 | + | 0.149351i | 0.905914 | − | 0.423462i | \(-0.139185\pi\) |
−0.819686 | + | 0.572813i | \(0.805852\pi\) | |||||||
\(468\) | 1756.88 | + | 264.806i | 0.173529 | + | 0.0261553i | ||||
\(469\) | −2474.03 | − | 1191.43i | −0.243583 | − | 0.117303i | ||||
\(470\) | 1923.55 | − | 1784.79i | 0.188780 | − | 0.175162i | ||||
\(471\) | 2873.82 | − | 12591.0i | 0.281143 | − | 1.23177i | ||||
\(472\) | 708.969 | 0.0691376 | ||||||||
\(473\) | 721.508 | − | 1721.01i | 0.0701374 | − | 0.167298i | ||||
\(474\) | −2529.89 | −0.245151 | ||||||||
\(475\) | 822.344 | − | 3602.93i | 0.0794352 | − | 0.348029i | ||||
\(476\) | −3196.24 | + | 2965.68i | −0.307772 | + | 0.285571i | ||||
\(477\) | −7294.82 | − | 3513.00i | −0.700224 | − | 0.337210i | ||||
\(478\) | 1234.50 | + | 186.071i | 0.118127 | + | 0.0178048i | ||||
\(479\) | 5528.15 | + | 9575.03i | 0.527322 | + | 0.913349i | 0.999493 | + | 0.0318419i | \(0.0101373\pi\) |
−0.472171 | + | 0.881507i | \(0.656529\pi\) | |||||||
\(480\) | −2802.73 | + | 4854.47i | −0.266514 | + | 0.461615i | ||||
\(481\) | 2210.97 | − | 2772.47i | 0.209587 | − | 0.262814i | ||||
\(482\) | −83.6552 | + | 1116.30i | −0.00790537 | + | 0.105490i | ||||
\(483\) | 136.837 | − | 348.655i | 0.0128909 | − | 0.0328454i | ||||
\(484\) | −8975.80 | + | 4322.52i | −0.842957 | + | 0.405946i | ||||
\(485\) | −5458.82 | + | 1683.82i | −0.511077 | + | 0.157646i | ||||
\(486\) | −776.177 | − | 1977.67i | −0.0724446 | − | 0.184586i | ||||
\(487\) | 6094.39 | + | 5654.77i | 0.567070 | + | 0.526164i | 0.910769 | − | 0.412916i | \(-0.135490\pi\) |
−0.343699 | + | 0.939080i | \(0.611680\pi\) | |||||||
\(488\) | −1890.71 | + | 1289.06i | −0.175386 | + | 0.119576i | ||||
\(489\) | 3917.15 | + | 4911.95i | 0.362248 | + | 0.454245i | ||||
\(490\) | −1471.38 | + | 221.775i | −0.135654 | + | 0.0204465i | ||||
\(491\) | 10206.2 | + | 3148.20i | 0.938086 | + | 0.289361i | 0.725847 | − | 0.687857i | \(-0.241448\pi\) |
0.212239 | + | 0.977218i | \(0.431924\pi\) | |||||||
\(492\) | −939.237 | − | 12533.2i | −0.0860652 | − | 1.14846i | ||||
\(493\) | −8719.68 | − | 5944.97i | −0.796581 | − | 0.543100i | ||||
\(494\) | 130.134 | + | 570.152i | 0.0118522 | + | 0.0519279i | ||||
\(495\) | 225.101 | + | 986.230i | 0.0204394 | + | 0.0895510i | ||||
\(496\) | 3136.42 | + | 2138.37i | 0.283930 | + | 0.193580i | ||||
\(497\) | 5.21887 | + | 69.6409i | 0.000471022 | + | 0.00628536i | ||||
\(498\) | 865.984 | + | 267.121i | 0.0779231 | + | 0.0240361i | ||||
\(499\) | −9831.99 | + | 1481.93i | −0.882045 | + | 0.132947i | −0.574420 | − | 0.818561i | \(-0.694772\pi\) |
−0.307625 | + | 0.951508i | \(0.599534\pi\) | |||||||
\(500\) | 7340.23 | + | 9204.36i | 0.656530 | + | 0.823263i | ||||
\(501\) | 18651.4 | − | 12716.3i | 1.66324 | − | 1.13398i | ||||
\(502\) | 1718.69 | + | 1594.71i | 0.152807 | + | 0.141784i | ||||
\(503\) | 333.668 | + | 850.171i | 0.0295775 | + | 0.0753624i | 0.944900 | − | 0.327360i | \(-0.106159\pi\) |
−0.915322 | + | 0.402723i | \(0.868064\pi\) | |||||||
\(504\) | −576.817 | + | 177.925i | −0.0509791 | + | 0.0157250i | ||||
\(505\) | 13379.8 | − | 6443.38i | 1.17900 | − | 0.567776i | ||||
\(506\) | 15.7221 | − | 40.0592i | 0.00138129 | − | 0.00351947i | ||||
\(507\) | 997.556 | − | 13311.5i | 0.0873827 | − | 1.16604i | ||||
\(508\) | 2653.58 | − | 3327.48i | 0.231759 | − | 0.290617i | ||||
\(509\) | 9078.69 | − | 15724.8i | 0.790581 | − | 1.36933i | −0.135026 | − | 0.990842i | \(-0.543112\pi\) |
0.925607 | − | 0.378485i | \(-0.123555\pi\) | |||||||
\(510\) | −1938.15 | − | 3356.98i | −0.168280 | − | 0.291470i | ||||
\(511\) | 5061.59 | + | 762.913i | 0.438183 | + | 0.0660455i | ||||
\(512\) | 8231.49 | + | 3964.08i | 0.710516 | + | 0.342166i | ||||
\(513\) | −4132.75 | + | 3834.63i | −0.355683 | + | 0.330025i | ||||
\(514\) | −189.710 | + | 831.172i | −0.0162796 | + | 0.0713257i | ||||
\(515\) | 15626.1 | 1.33702 | ||||||||
\(516\) | 7519.79 | − | 12359.8i | 0.641551 | − | 1.05448i | ||||
\(517\) | −3773.67 | −0.321017 | ||||||||
\(518\) | −131.827 | + | 577.571i | −0.0111817 | + | 0.0489904i | ||||
\(519\) | 1378.38 | − | 1278.95i | 0.116578 | − | 0.108169i | ||||
\(520\) | −883.876 | − | 425.652i | −0.0745395 | − | 0.0358963i | ||||
\(521\) | 12743.5 | + | 1920.77i | 1.07160 | + | 0.161517i | 0.661064 | − | 0.750329i | \(-0.270105\pi\) |
0.410532 | + | 0.911846i | \(0.365343\pi\) | |||||||
\(522\) | −359.218 | − | 622.184i | −0.0301198 | − | 0.0521691i | ||||
\(523\) | 4132.07 | − | 7156.96i | 0.345474 | − | 0.598379i | −0.639966 | − | 0.768404i | \(-0.721051\pi\) |
0.985440 | + | 0.170025i | \(0.0543847\pi\) | |||||||
\(524\) | −7533.62 | + | 9446.86i | −0.628068 | + | 0.787572i | ||||
\(525\) | −95.9414 | + | 1280.25i | −0.00797567 | + | 0.106428i | ||||
\(526\) | 1373.80 | − | 3500.38i | 0.113879 | − | 0.290160i | ||||
\(527\) | −7515.78 | + | 3619.41i | −0.621238 | + | 0.299172i | ||||
\(528\) | 2424.05 | − | 747.721i | 0.199798 | − | 0.0616295i | ||||
\(529\) | −4385.79 | − | 11174.8i | −0.360466 | − | 0.918452i | ||||
\(530\) | 1611.48 | + | 1495.24i | 0.132072 | + | 0.122545i | ||||
\(531\) | 1236.12 | − | 842.775i | 0.101023 | − | 0.0688763i | ||||
\(532\) | 1810.41 | + | 2270.18i | 0.147540 | + | 0.185009i | ||||
\(533\) | 3280.59 | − | 494.469i | 0.266601 | − | 0.0401836i | ||||
\(534\) | −3718.78 | − | 1147.09i | −0.301362 | − | 0.0929578i | ||||
\(535\) | −81.7168 | − | 1090.44i | −0.00660360 | − | 0.0881189i | ||||
\(536\) | −4109.98 | − | 2802.13i | −0.331201 | − | 0.225809i | ||||
\(537\) | 4499.85 | + | 19715.1i | 0.361607 | + | 1.58430i | ||||
\(538\) | −548.682 | − | 2403.93i | −0.0439690 | − | 0.192641i | ||||
\(539\) | 1768.09 | + | 1205.46i | 0.141293 | + | 0.0963322i | ||||
\(540\) | −347.526 | − | 4637.41i | −0.0276947 | − | 0.369560i | ||||
\(541\) | −1924.46 | − | 593.619i | −0.152938 | − | 0.0471750i | 0.217341 | − | 0.976096i | \(-0.430262\pi\) |
−0.370279 | + | 0.928921i | \(0.620738\pi\) | |||||||
\(542\) | 989.794 | − | 149.187i | 0.0784415 | − | 0.0118232i | ||||
\(543\) | −11151.7 | − | 13983.8i | −0.881336 | − | 1.10516i | ||||
\(544\) | −9843.02 | + | 6710.86i | −0.775764 | + | 0.528907i | ||||
\(545\) | 2186.94 | + | 2029.18i | 0.171886 | + | 0.159487i | ||||
\(546\) | −74.2240 | − | 189.120i | −0.00581775 | − | 0.0148234i | ||||
\(547\) | −7746.40 | + | 2389.45i | −0.605507 | + | 0.186774i | −0.582324 | − | 0.812957i | \(-0.697856\pi\) |
−0.0231833 | + | 0.999731i | \(0.507380\pi\) | |||||||
\(548\) | 1190.54 | − | 573.334i | 0.0928054 | − | 0.0446927i | ||||
\(549\) | −1764.19 | + | 4495.09i | −0.137147 | + | 0.349446i | ||||
\(550\) | −11.0233 | + | 147.096i | −0.000854612 | + | 0.0114040i | ||||
\(551\) | −4381.93 | + | 5494.77i | −0.338796 | + | 0.424837i | ||||
\(552\) | 339.244 | − | 587.588i | 0.0261579 | − | 0.0453069i | ||||
\(553\) | −1657.87 | − | 2871.51i | −0.127486 | − | 0.220812i | ||||
\(554\) | 3363.32 | + | 506.938i | 0.257931 | + | 0.0388768i | ||||
\(555\) | 14102.8 | + | 6791.54i | 1.07861 | + | 0.519432i | ||||
\(556\) | −12798.8 | + | 11875.5i | −0.976239 | + | 0.905817i | ||||
\(557\) | 1033.33 | − | 4527.32i | 0.0786063 | − | 0.344397i | −0.920297 | − | 0.391221i | \(-0.872053\pi\) |
0.998903 | + | 0.0468242i | \(0.0149100\pi\) | |||||||
\(558\) | −567.881 | −0.0430830 | ||||||||
\(559\) | 3401.80 | + | 1735.61i | 0.257390 | + | 0.131321i | ||||
\(560\) | −2311.86 | −0.174453 | ||||||||
\(561\) | −1240.47 | + | 5434.84i | −0.0933557 | + | 0.409018i | ||||
\(562\) | 871.240 | − | 808.393i | 0.0653933 | − | 0.0606761i | ||||
\(563\) | −8396.26 | − | 4043.43i | −0.628526 | − | 0.302682i | 0.0923705 | − | 0.995725i | \(-0.470556\pi\) |
−0.720897 | + | 0.693042i | \(0.756270\pi\) | |||||||
\(564\) | −28929.5 | − | 4360.42i | −2.15984 | − | 0.325544i | ||||
\(565\) | −5195.65 | − | 8999.13i | −0.386872 | − | 0.670082i | ||||
\(566\) | 550.493 | − | 953.482i | 0.0408816 | − | 0.0708089i | ||||
\(567\) | 2486.27 | − | 3117.69i | 0.184151 | − | 0.230918i | ||||
\(568\) | −9.45396 | + | 126.154i | −0.000698379 | + | 0.00931922i | ||||
\(569\) | −7046.16 | + | 17953.3i | −0.519140 | + | 1.32275i | 0.395496 | + | 0.918468i | \(0.370573\pi\) |
−0.914636 | + | 0.404279i | \(0.867523\pi\) | |||||||
\(570\) | −2325.78 | + | 1120.04i | −0.170906 | + | 0.0823040i | ||||
\(571\) | −14406.0 | + | 4443.65i | −1.05582 | + | 0.325676i | −0.773599 | − | 0.633675i | \(-0.781546\pi\) |
−0.282216 | + | 0.959351i | \(0.591069\pi\) | |||||||
\(572\) | 253.455 | + | 645.792i | 0.0185271 | + | 0.0472062i | ||||
\(573\) | 11538.3 | + | 10705.9i | 0.841217 | + | 0.780536i | ||||
\(574\) | −457.947 | + | 312.223i | −0.0333002 | + | 0.0227037i | ||||
\(575\) | −346.985 | − | 435.105i | −0.0251657 | − | 0.0315568i | ||||
\(576\) | 6950.37 | − | 1047.60i | 0.502775 | − | 0.0757812i | ||||
\(577\) | 16026.8 | + | 4943.63i | 1.15634 | + | 0.356683i | 0.812849 | − | 0.582475i | \(-0.197915\pi\) |
0.343488 | + | 0.939157i | \(0.388392\pi\) | |||||||
\(578\) | −428.278 | − | 5714.97i | −0.0308201 | − | 0.411265i | ||||
\(579\) | −2007.96 | − | 1369.00i | −0.144124 | − | 0.0982621i | ||||
\(580\) | −1290.02 | − | 5651.93i | −0.0923534 | − | 0.404627i | ||||
\(581\) | 264.299 | + | 1157.97i | 0.0188726 | + | 0.0826862i | ||||
\(582\) | −1770.69 | − | 1207.24i | −0.126112 | − | 0.0859820i | ||||
\(583\) | −236.256 | − | 3152.62i | −0.0167834 | − | 0.223959i | ||||
\(584\) | 8860.67 | + | 2733.16i | 0.627838 | + | 0.193662i | ||||
\(585\) | −2047.07 | + | 308.546i | −0.144677 | + | 0.0218065i | ||||
\(586\) | 2074.82 | + | 2601.74i | 0.146263 | + | 0.183408i | ||||
\(587\) | −14926.9 | + | 10177.0i | −1.04957 | + | 0.715584i | −0.959887 | − | 0.280386i | \(-0.909538\pi\) |
−0.0896823 | + | 0.995970i | \(0.528585\pi\) | |||||||
\(588\) | 12161.5 | + | 11284.3i | 0.852949 | + | 0.791421i | ||||
\(589\) | 2029.57 | + | 5171.26i | 0.141981 | + | 0.361762i | ||||
\(590\) | −388.157 | + | 119.730i | −0.0270850 | + | 0.00835462i | ||||
\(591\) | −3408.21 | + | 1641.31i | −0.237217 | + | 0.114238i | ||||
\(592\) | 5530.55 | − | 14091.6i | 0.383960 | − | 0.978314i | ||||
\(593\) | 1272.32 | − | 16977.9i | 0.0881076 | − | 1.17571i | −0.761452 | − | 0.648221i | \(-0.775513\pi\) |
0.849560 | − | 0.527493i | \(-0.176868\pi\) | |||||||
\(594\) | 140.303 | − | 175.935i | 0.00969144 | − | 0.0121527i | ||||
\(595\) | 2540.19 | − | 4399.74i | 0.175021 | − | 0.303146i | ||||
\(596\) | 20.6587 | + | 35.7819i | 0.00141982 | + | 0.00245920i | ||||
\(597\) | −1619.48 | − | 244.098i | −0.111023 | − | 0.0167341i | ||||
\(598\) | 79.3463 | + | 38.2112i | 0.00542594 | + | 0.00261299i | ||||
\(599\) | −12444.5 | + | 11546.8i | −0.848861 | + | 0.787628i | −0.978998 | − | 0.203868i | \(-0.934649\pi\) |
0.130137 | + | 0.991496i | \(0.458458\pi\) | |||||||
\(600\) | −517.510 | + | 2267.36i | −0.0352121 | + | 0.154274i | ||||
\(601\) | 20672.7 | 1.40309 | 0.701545 | − | 0.712625i | \(-0.252494\pi\) | ||||
0.701545 | + | 0.712625i | \(0.252494\pi\) | |||||||
\(602\) | −637.841 | − | 14.6593i | −0.0431835 | − | 0.000992476i | ||||
\(603\) | −10496.9 | −0.708903 | ||||||||
\(604\) | 4768.16 | − | 20890.7i | 0.321215 | − | 1.40733i | ||||
\(605\) | 8509.22 | − | 7895.40i | 0.571816 | − | 0.530568i | ||||
\(606\) | 5019.41 | + | 2417.22i | 0.336468 | + | 0.162034i | ||||
\(607\) | −16265.4 | − | 2451.62i | −1.08763 | − | 0.163934i | −0.419338 | − | 0.907830i | \(-0.637738\pi\) |
−0.668296 | + | 0.743896i | \(0.732976\pi\) | |||||||
\(608\) | 3966.74 | + | 6870.60i | 0.264593 | + | 0.458289i | ||||
\(609\) | 1220.77 | − | 2114.44i | 0.0812284 | − | 0.140692i | ||||
\(610\) | 817.454 | − | 1025.06i | 0.0542586 | − | 0.0680382i | ||||
\(611\) | 577.118 | − | 7701.11i | 0.0382123 | − | 0.509907i | ||||
\(612\) | −6089.34 | + | 15515.4i | −0.402201 | + | 1.02479i | ||||
\(613\) | −13447.1 | + | 6475.76i | −0.886006 | + | 0.426678i | −0.820815 | − | 0.571195i | \(-0.806480\pi\) |
−0.0651914 | + | 0.997873i | \(0.520766\pi\) | |||||||
\(614\) | −3429.39 | + | 1057.83i | −0.225406 | + | 0.0695284i | ||||
\(615\) | 5350.20 | + | 13632.1i | 0.350798 | + | 0.893819i | ||||
\(616\) | −172.779 | − | 160.316i | −0.0113011 | − | 0.0104859i | ||||
\(617\) | −4614.05 | + | 3145.81i | −0.301061 | + | 0.205260i | −0.704423 | − | 0.709781i | \(-0.748794\pi\) |
0.403362 | + | 0.915041i | \(0.367842\pi\) | |||||||
\(618\) | 3654.95 | + | 4583.16i | 0.237902 | + | 0.298320i | ||||
\(619\) | −202.700 | + | 30.5521i | −0.0131619 | + | 0.00198383i | −0.155620 | − | 0.987817i | \(-0.549738\pi\) |
0.142458 | + | 0.989801i | \(0.454499\pi\) | |||||||
\(620\) | −4378.82 | − | 1350.69i | −0.283641 | − | 0.0874917i | ||||
\(621\) | 63.4451 | + | 846.616i | 0.00409978 | + | 0.0547078i | ||||
\(622\) | 339.642 | + | 231.564i | 0.0218946 | + | 0.0149275i | ||||
\(623\) | −1134.97 | − | 4972.65i | −0.0729884 | − | 0.319783i | ||||
\(624\) | 1155.19 | + | 5061.23i | 0.0741101 | + | 0.324698i | ||||
\(625\) | −6822.99 | − | 4651.84i | −0.436671 | − | 0.297718i | ||||
\(626\) | 376.197 | + | 5020.00i | 0.0240189 | + | 0.320510i | ||||
\(627\) | 3547.48 | + | 1094.25i | 0.225953 | + | 0.0696973i | ||||
\(628\) | 14909.1 | − | 2247.18i | 0.947352 | − | 0.142790i | ||||
\(629\) | 20741.3 | + | 26008.7i | 1.31480 | + | 1.64871i | ||||
\(630\) | 285.756 | − | 194.825i | 0.0180711 | − | 0.0123207i | ||||
\(631\) | −4778.13 | − | 4433.46i | −0.301449 | − | 0.279704i | 0.514915 | − | 0.857241i | \(-0.327823\pi\) |
−0.816364 | + | 0.577537i | \(0.804014\pi\) | |||||||
\(632\) | −2194.40 | − | 5591.24i | −0.138115 | − | 0.351911i | ||||
\(633\) | −25097.7 | + | 7741.62i | −1.57590 | + | 0.486101i | ||||
\(634\) | −2734.70 | + | 1316.96i | −0.171307 | + | 0.0824972i | ||||
\(635\) | −1811.73 | + | 4616.21i | −0.113222 | + | 0.288486i | ||||
\(636\) | 1831.63 | − | 24441.4i | 0.114196 | − | 1.52384i | ||||
\(637\) | −2730.45 | + | 3423.87i | −0.169834 | + | 0.212965i | ||||
\(638\) | 140.262 | − | 242.942i | 0.00870382 | − | 0.0150755i | ||||
\(639\) | 133.480 | + | 231.195i | 0.00826354 | + | 0.0143129i | ||||
\(640\) | −8575.87 | − | 1292.60i | −0.529673 | − | 0.0798354i | ||||
\(641\) | −8775.59 | − | 4226.10i | −0.540741 | − | 0.260407i | 0.143516 | − | 0.989648i | \(-0.454159\pi\) |
−0.684257 | + | 0.729241i | \(0.739873\pi\) | |||||||
\(642\) | 300.713 | − | 279.021i | 0.0184863 | − | 0.0171528i | ||||
\(643\) | −3367.07 | + | 14752.1i | −0.206507 | + | 0.904767i | 0.760363 | + | 0.649498i | \(0.225021\pi\) |
−0.966870 | + | 0.255269i | \(0.917836\pi\) | |||||||
\(644\) | 437.266 | 0.0267557 | ||||||||
\(645\) | −4127.73 | + | 16344.2i | −0.251983 | + | 0.997753i | ||||
\(646\) | −5486.19 | −0.334135 | ||||||||
\(647\) | 5014.08 | − | 21968.1i | 0.304674 | − | 1.33486i | −0.558310 | − | 0.829632i | \(-0.688550\pi\) |
0.862984 | − | 0.505231i | \(-0.168593\pi\) | |||||||
\(648\) | 5295.31 | − | 4913.33i | 0.321018 | − | 0.297861i | ||||
\(649\) | 526.319 | + | 253.462i | 0.0318333 | + | 0.0153301i | ||||
\(650\) | −298.500 | − | 44.9917i | −0.0180125 | − | 0.00271495i | ||||
\(651\) | −964.947 | − | 1671.34i | −0.0580941 | − | 0.100622i | ||||
\(652\) | −3667.34 | + | 6352.02i | −0.220282 | + | 0.381540i | ||||
\(653\) | 9869.86 | − | 12376.4i | 0.591481 | − | 0.741694i | −0.392542 | − | 0.919734i | \(-0.628404\pi\) |
0.984023 | + | 0.178040i | \(0.0569756\pi\) | |||||||
\(654\) | −83.6371 | + | 1116.06i | −0.00500072 | + | 0.0667299i | ||||
\(655\) | 5143.57 | − | 13105.6i | 0.306833 | − | 0.781798i | ||||
\(656\) | 12760.2 | − | 6144.98i | 0.759453 | − | 0.365733i | ||||
\(657\) | 18698.0 | − | 5767.58i | 1.11032 | − | 0.342488i | ||||
\(658\) | 471.354 | + | 1200.99i | 0.0279260 | + | 0.0711542i | ||||
\(659\) | −9479.66 | − | 8795.84i | −0.560357 | − | 0.519935i | 0.348353 | − | 0.937363i | \(-0.386741\pi\) |
−0.908710 | + | 0.417428i | \(0.862932\pi\) | |||||||
\(660\) | −2530.17 | + | 1725.04i | −0.149222 | + | 0.101738i | ||||
\(661\) | 6237.74 | + | 7821.88i | 0.367050 | + | 0.460266i | 0.930719 | − | 0.365735i | \(-0.119182\pi\) |
−0.563669 | + | 0.826000i | \(0.690611\pi\) | |||||||
\(662\) | −326.895 | + | 49.2714i | −0.0191920 | + | 0.00289273i | ||||
\(663\) | −10901.4 | − | 3362.64i | −0.638576 | − | 0.196975i | ||||
\(664\) | 160.790 | + | 2145.59i | 0.00939736 | + | 0.125399i | ||||
\(665\) | −2795.40 | − | 1905.87i | −0.163009 | − | 0.111138i | ||||
\(666\) | 503.930 | + | 2207.86i | 0.0293197 | + | 0.128458i | ||||
\(667\) | 235.508 | + | 1031.83i | 0.0136715 | + | 0.0598989i | ||||
\(668\) | 21774.7 | + | 14845.7i | 1.26121 | + | 0.859879i | ||||
\(669\) | −1949.03 | − | 26008.0i | −0.112637 | − | 1.50303i | ||||
\(670\) | 2723.41 | + | 840.061i | 0.157037 | + | 0.0484394i | ||||
\(671\) | −1864.46 | + | 281.022i | −0.107268 | + | 0.0161680i | ||||
\(672\) | −1718.39 | − | 2154.79i | −0.0986432 | − | 0.123695i | ||||
\(673\) | 8850.02 | − | 6033.84i | 0.506899 | − | 0.345598i | −0.282713 | − | 0.959205i | \(-0.591234\pi\) |
0.789612 | + | 0.613607i | \(0.210282\pi\) | |||||||
\(674\) | 2637.29 | + | 2447.04i | 0.150719 | + | 0.139847i | ||||
\(675\) | −1063.18 | − | 2708.94i | −0.0606249 | − | 0.154470i | ||||
\(676\) | 14891.8 | − | 4593.50i | 0.847279 | − | 0.261351i | ||||
\(677\) | 17111.1 | − | 8240.27i | 0.971392 | − | 0.467798i | 0.120256 | − | 0.992743i | \(-0.461628\pi\) |
0.851136 | + | 0.524945i | \(0.175914\pi\) | |||||||
\(678\) | 1424.20 | − | 3628.80i | 0.0806726 | − | 0.205550i | ||||
\(679\) | 209.899 | − | 2800.91i | 0.0118633 | − | 0.158305i | ||||
\(680\) | 5738.04 | − | 7195.28i | 0.323594 | − | 0.405774i | ||||
\(681\) | −3871.50 | + | 6705.64i | −0.217851 | + | 0.377328i | ||||
\(682\) | −110.869 | − | 192.031i | −0.00622492 | − | 0.0107819i | ||||
\(683\) | −27952.3 | − | 4213.14i | −1.56598 | − | 0.236034i | −0.691967 | − | 0.721930i | \(-0.743255\pi\) |
−0.874017 | + | 0.485896i | \(0.838494\pi\) | |||||||
\(684\) | 10000.5 | + | 4816.01i | 0.559035 | + | 0.269217i | ||||
\(685\) | −1128.65 | + | 1047.24i | −0.0629542 | + | 0.0584130i | ||||
\(686\) | 335.499 | − | 1469.92i | 0.0186726 | − | 0.0818100i | ||||
\(687\) | −32946.8 | −1.82969 | ||||||||
\(688\) | 16060.7 | + | 2799.58i | 0.889984 | + | 0.155135i | ||||
\(689\) | 6469.83 | 0.357737 | ||||||||
\(690\) | −86.5026 | + | 378.993i | −0.00477260 | + | 0.0209101i | ||||
\(691\) | 3299.17 | − | 3061.19i | 0.181630 | − | 0.168528i | −0.584118 | − | 0.811669i | \(-0.698559\pi\) |
0.765748 | + | 0.643141i | \(0.222369\pi\) | |||||||
\(692\) | 1977.81 | + | 952.463i | 0.108649 | + | 0.0523226i | ||||
\(693\) | −491.823 | − | 74.1303i | −0.0269593 | − | 0.00406346i | ||||
\(694\) | 1548.91 | + | 2682.79i | 0.0847201 | + | 0.146740i | ||||
\(695\) | 10171.7 | − | 17618.0i | 0.555160 | − | 0.961565i | ||||
\(696\) | 2757.60 | − | 3457.92i | 0.150182 | − | 0.188322i | ||||
\(697\) | −2325.83 | + | 31036.1i | −0.126395 | + | 1.68662i | ||||
\(698\) | 799.967 | − | 2038.28i | 0.0433799 | − | 0.110530i | ||||
\(699\) | 21225.0 | − | 10221.4i | 1.14850 | − | 0.553090i | ||||
\(700\) | −1432.24 | + | 441.787i | −0.0773335 | + | 0.0238542i | ||||
\(701\) | −4006.50 | − | 10208.4i | −0.215868 | − | 0.550023i | 0.781389 | − | 0.624045i | \(-0.214512\pi\) |
−0.997257 | + | 0.0740219i | \(0.976417\pi\) | |||||||
\(702\) | 337.581 | + | 313.230i | 0.0181498 | + | 0.0168406i | ||||
\(703\) | 18304.3 | − | 12479.7i | 0.982020 | − | 0.669530i | ||||
\(704\) | 1711.19 | + | 2145.76i | 0.0916091 | + | 0.114874i | ||||
\(705\) | 33708.0 | − | 5080.66i | 1.80073 | − | 0.271417i | ||||
\(706\) | −5768.71 | − | 1779.41i | −0.307519 | − | 0.0948570i | ||||
\(707\) | 545.653 | + | 7281.24i | 0.0290260 | + | 0.387326i | ||||
\(708\) | 3741.97 | + | 2551.23i | 0.198632 | + | 0.135425i | ||||
\(709\) | 3323.04 | + | 14559.2i | 0.176022 | + | 0.771201i | 0.983442 | + | 0.181224i | \(0.0580060\pi\) |
−0.807420 | + | 0.589977i | \(0.799137\pi\) | |||||||
\(710\) | −16.1289 | − | 70.6654i | −0.000852545 | − | 0.00373525i | ||||
\(711\) | −10472.5 | − | 7140.06i | −0.552392 | − | 0.376615i | ||||
\(712\) | −690.476 | − | 9213.76i | −0.0363436 | − | 0.484972i | ||||
\(713\) | 799.407 | + | 246.584i | 0.0419888 | + | 0.0129518i | ||||
\(714\) | 1884.61 | − | 284.059i | 0.0987810 | − | 0.0148888i | ||||
\(715\) | −503.991 | − | 631.985i | −0.0263611 | − | 0.0330558i | ||||
\(716\) | −19506.2 | + | 13299.1i | −1.01813 | + | 0.694151i | ||||
\(717\) | 11889.1 | + | 11031.4i | 0.619254 | + | 0.574584i | ||||
\(718\) | 567.248 | + | 1445.32i | 0.0294840 | + | 0.0751239i | ||||
\(719\) | −14905.5 | + | 4597.75i | −0.773134 | + | 0.238480i | −0.656126 | − | 0.754651i | \(-0.727806\pi\) |
−0.117007 | + | 0.993131i | \(0.537330\pi\) | |||||||
\(720\) | −7962.28 | + | 3834.43i | −0.412134 | + | 0.198473i | ||||
\(721\) | −2806.91 | + | 7151.89i | −0.144986 | + | 0.369418i | ||||
\(722\) | −11.4571 | + | 152.884i | −0.000590565 | + | 0.00788055i | ||||
\(723\) | −9067.12 | + | 11369.8i | −0.466403 | + | 0.584851i | ||||
\(724\) | 10440.5 | − | 18083.5i | 0.535938 | − | 0.928272i | ||||
\(725\) | −1813.89 | − | 3141.75i | −0.0929188 | − | 0.160940i | ||||
\(726\) | 4306.05 | + | 649.033i | 0.220127 | + | 0.0331789i | ||||
\(727\) | −34080.4 | − | 16412.2i | −1.73861 | − | 0.837272i | −0.983320 | − | 0.181884i | \(-0.941780\pi\) |
−0.755293 | − | 0.655388i | \(-0.772505\pi\) | |||||||
\(728\) | 353.588 | − | 328.081i | 0.0180011 | − | 0.0167026i | ||||
\(729\) | 738.159 | − | 3234.09i | 0.0375024 | − | 0.164309i | ||||
\(730\) | −5312.74 | −0.269361 | ||||||||
\(731\) | −22974.9 | + | 27489.4i | −1.16246 | + | 1.39088i | ||||
\(732\) | −14617.9 | −0.738106 | ||||||||
\(733\) | −4967.98 | + | 21766.1i | −0.250336 | + | 1.09679i | 0.680899 | + | 0.732377i | \(0.261589\pi\) |
−0.931236 | + | 0.364418i | \(0.881268\pi\) | |||||||
\(734\) | −621.482 | + | 576.651i | −0.0312525 | + | 0.0289981i | ||||
\(735\) | −17416.3 | − | 8387.24i | −0.874026 | − | 0.420909i | ||||
\(736\) | 1181.37 | + | 178.062i | 0.0591654 | + | 0.00891775i | ||||
\(737\) | −2049.35 | − | 3549.57i | −0.102427 | − | 0.177409i | ||||
\(738\) | −1059.37 | + | 1834.88i | −0.0528399 | + | 0.0915214i | ||||
\(739\) | 12906.9 | − | 16184.7i | 0.642473 | − | 0.805636i | −0.348837 | − | 0.937183i | \(-0.613423\pi\) |
0.991310 | + | 0.131548i | \(0.0419947\pi\) | |||||||
\(740\) | −1365.62 | + | 18223.0i | −0.0678396 | + | 0.905256i | ||||
\(741\) | −2775.62 | + | 7072.15i | −0.137604 | + | 0.350610i | ||||
\(742\) | −973.827 | + | 468.971i | −0.0481810 | + | 0.0232028i | ||||
\(743\) | 23498.6 | − | 7248.37i | 1.16027 | − | 0.357896i | 0.345917 | − | 0.938265i | \(-0.387568\pi\) |
0.814354 | + | 0.580369i | \(0.197092\pi\) | |||||||
\(744\) | −1277.23 | − | 3254.33i | −0.0629376 | − | 0.160362i | ||||
\(745\) | −35.2906 | − | 32.7449i | −0.00173550 | − | 0.00161031i | ||||
\(746\) | −461.677 | + | 314.766i | −0.0226584 | + | 0.0154483i | ||||
\(747\) | 2830.88 | + | 3549.81i | 0.138657 | + | 0.173870i | ||||
\(748\) | −6435.42 | + | 969.983i | −0.314575 | + | 0.0474146i | ||||
\(749\) | 513.760 | + | 158.474i | 0.0250633 | + | 0.00773100i | ||||
\(750\) | −384.565 | − | 5131.66i | −0.0187231 | − | 0.249842i | ||||
\(751\) | 9346.13 | + | 6372.08i | 0.454121 | + | 0.309615i | 0.768692 | − | 0.639620i | \(-0.220908\pi\) |
−0.314570 | + | 0.949234i | \(0.601860\pi\) | |||||||
\(752\) | −7335.96 | − | 32141.0i | −0.355738 | − | 1.55859i | ||||
\(753\) | 6777.61 | + | 29694.7i | 0.328008 | + | 1.43710i | ||||
\(754\) | 474.331 | + | 323.394i | 0.0229100 | + | 0.0156198i | ||||
\(755\) | 1865.81 | + | 24897.5i | 0.0899387 | + | 1.20015i | ||||
\(756\) | 2184.92 | + | 673.959i | 0.105112 | + | 0.0324228i | ||||
\(757\) | −12374.8 | + | 1865.20i | −0.594146 | + | 0.0895531i | −0.439230 | − | 0.898375i | \(-0.644749\pi\) |
−0.154916 | + | 0.987928i | \(0.549511\pi\) | |||||||
\(758\) | −2752.00 | − | 3450.90i | −0.131870 | − | 0.165359i | ||||
\(759\) | 461.913 | − | 314.927i | 0.0220901 | − | 0.0150608i | ||||
\(760\) | −4492.73 | − | 4168.65i | −0.214432 | − | 0.198964i | ||||
\(761\) | −5515.43 | − | 14053.1i | −0.262725 | − | 0.669413i | 0.737255 | − | 0.675614i | \(-0.236121\pi\) |
−0.999981 | + | 0.00620080i | \(0.998026\pi\) | |||||||
\(762\) | −1777.71 | + | 548.350i | −0.0845139 | + | 0.0260691i | ||||
\(763\) | −1321.58 | + | 636.437i | −0.0627054 | + | 0.0301973i | ||||
\(764\) | −6713.43 | + | 17105.5i | −0.317910 | + | 0.810022i | ||||
\(765\) | 1451.31 | − | 19366.3i | 0.0685910 | − | 0.915283i | ||||
\(766\) | −3636.29 | + | 4559.77i | −0.171520 | + | 0.215080i | ||||
\(767\) | −597.743 | + | 1035.32i | −0.0281398 | + | 0.0487396i | ||||
\(768\) | 9370.01 | + | 16229.3i | 0.440249 | + | 0.762533i | ||||
\(769\) | −35252.2 | − | 5313.42i | −1.65309 | − | 0.249164i | −0.744736 | − | 0.667359i | \(-0.767425\pi\) |
−0.908357 | + | 0.418195i | \(0.862663\pi\) | |||||||
\(770\) | 121.670 | + | 58.5931i | 0.00569438 | + | 0.00274227i | ||||
\(771\) | −8118.87 | + | 7533.21i | −0.379240 | + | 0.351883i | ||||
\(772\) | 631.335 | − | 2766.06i | 0.0294330 | − | 0.128954i | ||||
\(773\) | −20814.0 | −0.968471 | −0.484236 | − | 0.874938i | \(-0.660902\pi\) | ||||
−0.484236 | + | 0.874938i | \(0.660902\pi\) | |||||||
\(774\) | −2221.11 | + | 1007.43i | −0.103147 | + | 0.0467847i | ||||
\(775\) | −2867.54 | −0.132910 | ||||||||
\(776\) | 1132.20 | − | 4960.50i | 0.0523759 | − | 0.229474i | ||||
\(777\) | −5641.70 | + | 5234.73i | −0.260482 | + | 0.241692i | ||||
\(778\) | −966.856 | − | 465.613i | −0.0445546 | − | 0.0214564i | ||||
\(779\) | 20494.9 | + | 3089.11i | 0.942628 | + | 0.142078i | ||||
\(780\) | −3133.42 | − | 5427.24i | −0.143839 | − | 0.249136i | ||||
\(781\) | −52.1195 | + | 90.2736i | −0.00238794 | + | 0.00413604i | ||||
\(782\) | −515.109 | + | 645.926i | −0.0235553 | + | 0.0295374i | ||||
\(783\) | −413.578 | + | 5518.81i | −0.0188762 | + | 0.251885i | ||||
\(784\) | −6829.99 | + | 17402.5i | −0.311133 | + | 0.792753i | ||||
\(785\) | −15828.2 | + | 7622.44i | −0.719658 | + | 0.346569i | ||||
\(786\) | 5046.98 | − | 1556.79i | 0.229033 | − | 0.0706473i | ||||
\(787\) | 1765.85 | + | 4499.30i | 0.0799818 | + | 0.203790i | 0.965271 | − | 0.261251i | \(-0.0841349\pi\) |
−0.885289 | + | 0.465041i | \(0.846040\pi\) | |||||||
\(788\) | −3237.37 | − | 3003.84i | −0.146353 | − | 0.135796i | ||||
\(789\) | 40362.0 | − | 27518.4i | 1.82120 | − | 1.24167i | ||||
\(790\) | 2145.67 | + | 2690.58i | 0.0966322 | + | 0.121173i | ||||
\(791\) | 5052.11 | − | 761.483i | 0.227095 | − | 0.0342291i | ||||
\(792\) | −860.970 | − | 265.574i | −0.0386278 | − | 0.0119151i | ||||
\(793\) | −288.357 | − | 3847.86i | −0.0129128 | − | 0.172310i | ||||
\(794\) | −3784.16 | − | 2580.00i | −0.169137 | − | 0.115316i | ||||
\(795\) | 6354.84 | + | 27842.4i | 0.283501 | + | 1.24210i | ||||
\(796\) | −425.467 | − | 1864.09i | −0.0189451 | − | 0.0830037i | ||||
\(797\) | 2879.55 | + | 1963.24i | 0.127978 | + | 0.0872542i | 0.625617 | − | 0.780130i | \(-0.284847\pi\) |
−0.497639 | + | 0.867384i | \(0.665800\pi\) | |||||||
\(798\) | −94.8497 | − | 1265.68i | −0.00420757 | − | 0.0561462i | ||||
\(799\) | 69228.7 | + | 21354.2i | 3.06525 | + | 0.945504i | ||||
\(800\) | −4049.40 | + | 610.349i | −0.178960 | + | 0.0269739i | ||||
\(801\) | −12156.6 | − | 15243.9i | −0.536244 | − | 0.672429i | ||||
\(802\) | 3497.93 | − | 2384.85i | 0.154010 | − | 0.105002i | ||||
\(803\) | 5600.80 | + | 5196.78i | 0.246137 | + | 0.228382i | ||||
\(804\) | −11609.1 | − | 29579.5i | −0.509231 | − | 1.29750i | ||||
\(805\) | −486.856 | + | 150.175i | −0.0213161 | + | 0.00657513i | ||||
\(806\) | 408.842 | − | 196.888i | 0.0178670 | − | 0.00860431i | ||||
\(807\) | 11702.8 | − | 29818.3i | 0.510482 | − | 1.30069i | ||||
\(808\) | −988.450 | + | 13189.9i | −0.0430366 | + | 0.574283i | ||||
\(809\) | 12112.9 | − | 15189.1i | 0.526413 | − | 0.660101i | −0.445544 | − | 0.895260i | \(-0.646990\pi\) |
0.971957 | + | 0.235159i | \(0.0755611\pi\) | |||||||
\(810\) | −2069.39 | + | 3584.29i | −0.0897667 | + | 0.155480i | ||||
\(811\) | 21789.7 | + | 37740.8i | 0.943452 | + | 1.63411i | 0.758822 | + | 0.651298i | \(0.225775\pi\) |
0.184630 | + | 0.982808i | \(0.440891\pi\) | |||||||
\(812\) | 2818.56 | + | 424.829i | 0.121813 | + | 0.0183603i | ||||
\(813\) | 11715.9 | + | 5642.08i | 0.505405 | + | 0.243390i | ||||
\(814\) | −648.212 | + | 601.453i | −0.0279113 | + | 0.0258979i | ||||
\(815\) | 1901.71 | − | 8331.92i | 0.0817348 | − | 0.358104i | ||||
\(816\) | −48700.8 | −2.08930 | ||||||||
\(817\) | 17112.0 | + | 16625.4i | 0.732770 | + | 0.711934i | ||||
\(818\) | −169.413 | −0.00724131 | ||||||||
\(819\) | 226.497 | − | 992.348i | 0.00966355 | − | 0.0423388i | ||||
\(820\) | −12532.8 | + | 11628.7i | −0.533735 | + | 0.495234i | ||||
\(821\) | −36563.6 | − | 17608.1i | −1.55430 | − | 0.748510i | −0.557629 | − | 0.830090i | \(-0.688289\pi\) |
−0.996667 | + | 0.0815806i | \(0.974003\pi\) | |||||||
\(822\) | −571.150 | − | 86.0870i | −0.0242350 | − | 0.00365283i | ||||
\(823\) | −4755.72 | − | 8237.14i | −0.201426 | − | 0.348881i | 0.747562 | − | 0.664192i | \(-0.231224\pi\) |
−0.948988 | + | 0.315312i | \(0.897891\pi\) | |||||||
\(824\) | −6958.86 | + | 12053.1i | −0.294203 | + | 0.509575i | ||||
\(825\) | −1194.78 | + | 1498.21i | −0.0504207 | + | 0.0632255i | ||||
\(826\) | 14.9252 | − | 199.163i | 0.000628709 | − | 0.00838953i | ||||
\(827\) | 12216.5 | − | 31127.1i | 0.513674 | − | 1.30882i | −0.405186 | − | 0.914234i | \(-0.632793\pi\) |
0.918859 | − | 0.394585i | \(-0.129112\pi\) | |||||||
\(828\) | 1505.99 | − | 725.246i | 0.0632086 | − | 0.0304397i | ||||
\(829\) | 20455.9 | − | 6309.81i | 0.857011 | − | 0.264353i | 0.165048 | − | 0.986286i | \(-0.447222\pi\) |
0.691963 | + | 0.721933i | \(0.256746\pi\) | |||||||
\(830\) | −450.378 | − | 1147.54i | −0.0188347 | − | 0.0479902i | ||||
\(831\) | 32390.9 | + | 30054.4i | 1.35214 | + | 1.25460i | ||||
\(832\) | −4640.65 | + | 3163.94i | −0.193372 | + | 0.131839i | ||||
\(833\) | −25614.5 | − | 32119.6i | −1.06542 | − | 1.33599i | ||||
\(834\) | 7546.56 | − | 1137.46i | 0.313329 | − | 0.0472267i | ||||
\(835\) | −29342.8 | − | 9051.06i | −1.21611 | − | 0.375120i | ||||
\(836\) | 323.886 | + | 4321.96i | 0.0133993 | + | 0.178801i | ||||
\(837\) | 3614.40 | + | 2464.26i | 0.149262 | + | 0.101765i | ||||
\(838\) | −205.061 | − | 898.432i | −0.00845313 | − | 0.0370356i | ||||
\(839\) | 1602.21 | + | 7019.73i | 0.0659289 | + | 0.288853i | 0.997135 | − | 0.0756391i | \(-0.0240997\pi\) |
−0.931206 | + | 0.364492i | \(0.881243\pi\) | |||||||
\(840\) | 1759.18 | + | 1199.39i | 0.0722587 | + | 0.0492652i | ||||
\(841\) | −1307.02 | − | 17441.0i | −0.0535905 | − | 0.715116i | ||||
\(842\) | 3566.14 | + | 1100.01i | 0.145959 | + | 0.0450224i | ||||
\(843\) | 15267.5 | − | 2301.20i | 0.623773 | − | 0.0940186i | ||||
\(844\) | −19117.9 | − | 23973.1i | −0.779699 | − | 0.977711i | ||||
\(845\) | −15003.1 | + | 10228.9i | −0.610794 | + | 0.416432i | ||||
\(846\) | 3615.35 | + | 3354.56i | 0.146925 | + | 0.136326i | ||||
\(847\) | 2085.14 | + | 5312.84i | 0.0845881 | + | 0.215527i | ||||
\(848\) | 26392.1 | − | 8140.87i | 1.06876 | − | 0.329668i | ||||
\(849\) | 12886.5 | − | 6205.80i | 0.520922 | − | 0.250863i | ||||
\(850\) | 1034.60 | − | 2636.13i | 0.0417490 | − | 0.106375i | ||||
\(851\) | 249.311 | − | 3326.83i | 0.0100426 | − | 0.134010i | ||||
\(852\) | −503.865 | + | 631.827i | −0.0202607 | + | 0.0254062i | ||||
\(853\) | 344.343 | − | 596.420i | 0.0138219 | − | 0.0239402i | −0.859032 | − | 0.511922i | \(-0.828934\pi\) |
0.872854 | + | 0.487982i | \(0.162267\pi\) | |||||||
\(854\) | 322.318 | + | 558.272i | 0.0129151 | + | 0.0223696i | ||||
\(855\) | −12788.7 | − | 1927.59i | −0.511538 | − | 0.0771020i | ||||
\(856\) | 877.494 | + | 422.579i | 0.0350375 | + | 0.0168732i | ||||
\(857\) | −679.424 | + | 630.413i | −0.0270813 | + | 0.0251278i | −0.693597 | − | 0.720363i | \(-0.743975\pi\) |
0.666516 | + | 0.745491i | \(0.267785\pi\) | |||||||
\(858\) | 67.4787 | − | 295.643i | 0.00268495 | − | 0.0117635i | ||||
\(859\) | 5906.02 | 0.234588 | 0.117294 | − | 0.993097i | \(-0.462578\pi\) | ||||
0.117294 | + | 0.993097i | \(0.462578\pi\) | |||||||
\(860\) | −19522.6 | + | 2485.27i | −0.774089 | + | 0.0985431i | ||||
\(861\) | −7200.32 | −0.285002 | ||||||||
\(862\) | 1753.59 | − | 7682.99i | 0.0692895 | − | 0.303577i | ||||
\(863\) | −31010.0 | + | 28773.0i | −1.22316 | + | 1.13493i | −0.236592 | + | 0.971609i | \(0.576030\pi\) |
−0.986573 | + | 0.163322i | \(0.947779\pi\) | |||||||
\(864\) | 5628.59 | + | 2710.59i | 0.221630 | + | 0.106731i | ||||
\(865\) | −2529.23 | − | 381.220i | −0.0994178 | − | 0.0149848i | ||||
\(866\) | −3788.80 | − | 6562.39i | −0.148670 | − | 0.257505i | ||||
\(867\) | 37225.7 | − | 64476.8i | 1.45819 | − | 2.52566i | ||||
\(868\) | 1404.76 | − | 1761.52i | 0.0549318 | − | 0.0688823i | ||||
\(869\) | 369.849 | − | 4935.30i | 0.0144376 | − | 0.192656i | ||||
\(870\) | −925.798 | + | 2358.89i | −0.0360776 | + | 0.0919241i | ||||
\(871\) | 7557.19 | − | 3639.35i | 0.293991 | − | 0.141578i | ||||
\(872\) | −2539.12 | + | 783.215i | −0.0986072 | + | 0.0304163i | ||||
\(873\) | −3922.66 | − | 9994.78i | −0.152076 | − | 0.387482i | ||||
\(874\) | 403.317 | + | 374.223i | 0.0156091 | + | 0.0144832i | ||||
\(875\) | 5572.60 | − | 3799.34i | 0.215301 | − | 0.146790i | ||||
\(876\) | 36931.7 | + | 46310.9i | 1.42444 | + | 1.78619i | ||||
\(877\) | −6230.19 | + | 939.050i | −0.239884 | + | 0.0361567i | −0.267884 | − | 0.963451i | \(-0.586324\pi\) |
0.0279997 | + | 0.999608i | \(0.491086\pi\) | |||||||
\(878\) | 5932.50 | + | 1829.93i | 0.228032 | + | 0.0703385i | ||||
\(879\) | 3230.64 | + | 43110.0i | 0.123967 | + | 1.65422i | ||||
\(880\) | −2851.12 | − | 1943.86i | −0.109217 | − | 0.0744632i | ||||
\(881\) | −8795.24 | − | 38534.5i | −0.336344 | − | 1.47362i | −0.806604 | − | 0.591092i | \(-0.798697\pi\) |
0.470260 | − | 0.882528i | \(-0.344160\pi\) | |||||||
\(882\) | −622.331 | − | 2726.61i | −0.0237585 | − | 0.104093i | ||||
\(883\) | 13714.0 | + | 9350.07i | 0.522666 | + | 0.356348i | 0.795733 | − | 0.605647i | \(-0.207086\pi\) |
−0.273067 | + | 0.961995i | \(0.588038\pi\) | |||||||
\(884\) | −995.303 | − | 13281.4i | −0.0378684 | − | 0.505319i | ||||
\(885\) | −5042.54 | − | 1555.42i | −0.191529 | − | 0.0590789i | ||||
\(886\) | 101.253 | − | 15.2614i | 0.00383933 | − | 0.000578686i | ||||
\(887\) | −9073.51 | − | 11377.8i | −0.343471 | − | 0.430699i | 0.579853 | − | 0.814721i | \(-0.303110\pi\) |
−0.923324 | + | 0.384022i | \(0.874539\pi\) | |||||||
\(888\) | −11519.1 | + | 7853.59i | −0.435310 | + | 0.296790i | ||||
\(889\) | −1787.35 | − | 1658.42i | −0.0674306 | − | 0.0625665i | ||||
\(890\) | 1934.05 | + | 4927.87i | 0.0728420 | + | 0.185599i | ||||
\(891\) | 5687.65 | − | 1754.41i | 0.213853 | − | 0.0659650i | ||||
\(892\) | 27433.1 | − | 13211.1i | 1.02974 | − | 0.495896i | ||||
\(893\) | 17626.3 | − | 44911.2i | 0.660519 | − | 1.68297i | ||||
\(894\) | 1.34965 | − | 18.0099i | 5.04913e−5 | − | 0.000673759i | ||||
\(895\) | 17151.0 | − | 21506.7i | 0.640552 | − | 0.803227i | ||||
\(896\) | 2132.10 | − | 3692.90i | 0.0794959 | − | 0.137691i | ||||
\(897\) | 572.044 | + | 990.809i | 0.0212932 | + | 0.0368809i | ||||
\(898\) | −3733.82 | − | 562.783i | −0.138752 | − | 0.0209135i | ||||
\(899\) | 4913.30 | + | 2366.12i | 0.182278 | + | 0.0877804i | ||||
\(900\) | −4200.03 | + | 3897.06i | −0.155557 | + | 0.144336i | ||||
\(901\) | −13505.7 | + | 59172.2i | −0.499378 | + | 2.18792i | ||||
\(902\) | −827.293 | −0.0305386 | ||||||||
\(903\) | −6739.09 | − | 4825.13i | −0.248353 | − | 0.177819i | ||||
\(904\) | 9255.26 | 0.340515 | ||||||||
\(905\) | −5413.96 | + | 23720.1i | −0.198858 | + | 0.871252i | ||||
\(906\) | −6866.07 | + | 6370.78i | −0.251777 | + | 0.233615i | ||||
\(907\) | 29975.5 | + | 14435.5i | 1.09738 | + | 0.528469i | 0.892833 | − | 0.450388i | \(-0.148714\pi\) |
0.204545 | + | 0.978857i | \(0.434429\pi\) | |||||||
\(908\) | −8938.65 | − | 1347.28i | −0.326696 | − | 0.0492414i | ||||
\(909\) | 13955.9 | + | 24172.4i | 0.509228 | + | 0.882009i | ||||
\(910\) | −138.181 | + | 239.336i | −0.00503369 | + | 0.00871860i | ||||
\(911\) | 19159.7 | − | 24025.6i | 0.696806 | − | 0.873768i | −0.299974 | − | 0.953947i | \(-0.596978\pi\) |
0.996780 | + | 0.0801798i | \(0.0255494\pi\) | |||||||
\(912\) | −2423.67 | + | 32341.6i | −0.0879997 | + | 1.17427i | ||||
\(913\) | −647.699 | + | 1650.31i | −0.0234783 | + | 0.0598218i | ||||
\(914\) | 3965.86 | − | 1909.86i | 0.143522 | − | 0.0691166i | ||||
\(915\) | 16275.7 | − | 5020.40i | 0.588043 | − | 0.181387i | ||||
\(916\) | −14052.5 | − | 35805.1i | −0.506885 | − | 1.29152i | ||||
\(917\) | 5074.36 | + | 4708.32i | 0.182737 | + | 0.169555i | ||||
\(918\) | −3569.46 | + | 2433.61i | −0.128333 | + | 0.0874959i | ||||
\(919\) | −24952.2 | − | 31289.1i | −0.895644 | − | 1.12310i | −0.991808 | − | 0.127736i | \(-0.959229\pi\) |
0.0961643 | − | 0.995365i | \(-0.469343\pi\) | |||||||
\(920\) | −912.634 | + | 137.557i | −0.0327050 | + | 0.00492949i | ||||
\(921\) | −44551.2 | − | 13742.2i | −1.59393 | − | 0.491664i | ||||
\(922\) | 445.108 | + | 5939.56i | 0.0158990 | + | 0.212157i | ||||
\(923\) | −176.255 | − | 120.168i | −0.00628548 | − | 0.00428537i | ||||
\(924\) | −335.039 | − | 1467.90i | −0.0119285 | − | 0.0522623i | ||||
\(925\) | 2544.62 | + | 11148.7i | 0.0904503 | + | 0.396289i | ||||
\(926\) | 4904.62 | + | 3343.92i | 0.174056 | + | 0.118669i | ||||
\(927\) | 2194.79 | + | 29287.4i | 0.0777630 | + | 1.03768i | ||||
\(928\) | 7441.94 | + | 2295.53i | 0.263247 | + | 0.0812011i | ||||
\(929\) | 20821.3 | − | 3138.30i | 0.735333 | − | 0.110834i | 0.229310 | − | 0.973353i | \(-0.426353\pi\) |
0.506023 | + | 0.862520i | \(0.331115\pi\) | |||||||
\(930\) | 1248.87 | + | 1566.03i | 0.0440344 | + | 0.0552174i | ||||
\(931\) | −22605.0 | + | 15411.8i | −0.795756 | + | 0.542537i | ||||
\(932\) | 20161.1 | + | 18706.7i | 0.708581 | + | 0.657467i | ||||
\(933\) | 1951.00 | + | 4971.07i | 0.0684597 | + | 0.174432i | ||||
\(934\) | 848.693 | − | 261.787i | 0.0297324 | − | 0.00917123i | ||||
\(935\) | 6832.13 | − | 3290.18i | 0.238967 | − | 0.115081i | ||||
\(936\) | 673.640 | − | 1716.41i | 0.0235241 | − | 0.0599385i | ||||
\(937\) | 62.9385 | − | 839.856i | 0.00219436 | − | 0.0292816i | −0.995999 | − | 0.0893629i | \(-0.971517\pi\) |
0.998193 | + | 0.0600812i | \(0.0191360\pi\) | |||||||
\(938\) | −873.695 | + | 1095.58i | −0.0304127 | + | 0.0381364i | ||||
\(939\) | −32698.8 | + | 56636.1i | −1.13641 | + | 1.96831i | ||||
\(940\) | 19898.5 | + | 34465.3i | 0.690446 | + | 1.19589i | ||||
\(941\) | −45984.5 | − | 6931.05i | −1.59304 | − | 0.240113i | −0.708203 | − | 0.706009i | \(-0.750494\pi\) |
−0.884839 | + | 0.465896i | \(0.845732\pi\) | |||||||
\(942\) | −5937.90 | − | 2859.54i | −0.205379 | − | 0.0989054i | ||||
\(943\) | 2288.01 | − | 2122.96i | 0.0790115 | − | 0.0733119i | ||||
\(944\) | −1135.62 | + | 4975.47i | −0.0391538 | + | 0.171544i | ||||
\(945\) | −2664.18 | −0.0917099 | ||||||||
\(946\) | −774.299 | − | 554.390i | −0.0266117 | − | 0.0190537i | ||||
\(947\) | −25613.0 | −0.878891 | −0.439446 | − | 0.898269i | \(-0.644825\pi\) | ||||
−0.439446 | + | 0.898269i | \(0.644825\pi\) | |||||||
\(948\) | 8537.98 | − | 37407.3i | 0.292511 | − | 1.28158i | ||||
\(949\) | −11461.9 | + | 10635.0i | −0.392063 | + | 0.363781i | ||||
\(950\) | −1699.13 | − | 818.258i | −0.0580285 | − | 0.0279451i | ||||
\(951\) | −38991.0 | − | 5876.95i | −1.32952 | − | 0.200392i | ||||
\(952\) | 2262.48 | + | 3918.73i | 0.0770246 | + | 0.133411i | ||||
\(953\) | 164.941 | − | 285.686i | 0.00560647 | − | 0.00971069i | −0.863209 | − | 0.504847i | \(-0.831549\pi\) |
0.868815 | + | 0.495137i | \(0.164882\pi\) | |||||||
\(954\) | −2576.13 | + | 3230.37i | −0.0874271 | + | 0.109630i | ||||
\(955\) | 1600.05 | − | 21351.2i | 0.0542161 | − | 0.723463i | ||||
\(956\) | −6917.54 | + | 17625.6i | −0.234027 | + | 0.596290i | ||||
\(957\) | 3283.40 | − | 1581.20i | 0.110906 | − | 0.0534096i | ||||
\(958\) | 5391.47 | − | 1663.05i | 0.181827 | − | 0.0560863i | ||||
\(959\) | −276.570 | − | 704.689i | −0.00931274 | − | 0.0237285i | ||||
\(960\) | −18174.0 | − | 16863.0i | −0.611002 | − | 0.566927i | ||||
\(961\) | −21052.9 | + | 14353.6i | −0.706688 | + | 0.481812i | ||||
\(962\) | −1128.28 | − | 1414.82i | −0.0378141 | − | 0.0474174i | ||||
\(963\) | 2032.29 | − | 306.318i | 0.0680058 | − | 0.0102502i | ||||
\(964\) | −16223.5 | − | 5004.28i | −0.542037 | − | 0.167196i | ||||
\(965\) | 247.045 | + | 3296.59i | 0.00824110 | + | 0.109970i | ||||
\(966\) | −157.923 | − | 107.670i | −0.00525992 | − | 0.00358615i | ||||
\(967\) | −1809.32 | − | 7927.14i | −0.0601694 | − | 0.263619i | 0.935892 | − | 0.352287i | \(-0.114596\pi\) |
−0.996061 | + | 0.0886682i | \(0.971739\pi\) | |||||||
\(968\) | 2300.62 | + | 10079.7i | 0.0763891 | + | 0.334682i | ||||
\(969\) | −58887.0 | − | 40148.5i | −1.95224 | − | 1.33102i | ||||
\(970\) | 217.854 | + | 2907.05i | 0.00721119 | + | 0.0962267i | ||||
\(971\) | 27422.1 | + | 8458.59i | 0.906299 | + | 0.279556i | 0.712654 | − | 0.701515i | \(-0.247493\pi\) |
0.193645 | + | 0.981072i | \(0.437969\pi\) | |||||||
\(972\) | 31861.6 | − | 4802.36i | 1.05140 | − | 0.158473i | ||||
\(973\) | 6236.42 | + | 7820.22i | 0.205478 | + | 0.257662i | ||||
\(974\) | 3505.38 | − | 2389.93i | 0.115318 | − | 0.0786225i | ||||
\(975\) | −2874.75 | − | 2667.38i | −0.0944263 | − | 0.0876148i | ||||
\(976\) | −6017.98 | − | 15333.6i | −0.197368 | − | 0.502885i | ||||
\(977\) | −6829.34 | + | 2106.57i | −0.223634 | + | 0.0689818i | −0.404547 | − | 0.914517i | \(-0.632571\pi\) |
0.180913 | + | 0.983499i | \(0.442095\pi\) | |||||||
\(978\) | 2888.58 | − | 1391.07i | 0.0944444 | − | 0.0454820i | ||||
\(979\) | 2781.40 | − | 7086.89i | 0.0908007 | − | 0.231356i | ||||
\(980\) | 1686.48 | − | 22504.6i | 0.0549722 | − | 0.733553i | ||||
\(981\) | −3496.06 | + | 4383.92i | −0.113782 | + | 0.142679i | ||||
\(982\) | 2725.24 | − | 4720.26i | 0.0885601 | − | 0.153391i | ||||
\(983\) | 13367.3 | + | 23152.8i | 0.433722 | + | 0.751229i | 0.997190 | − | 0.0749087i | \(-0.0238665\pi\) |
−0.563468 | + | 0.826138i | \(0.690533\pi\) | |||||||
\(984\) | −12897.7 | − | 1944.01i | −0.417849 | − | 0.0629806i | ||||
\(985\) | 4636.16 | + | 2232.66i | 0.149970 | + | 0.0722217i | ||||
\(986\) | −3947.88 | + | 3663.10i | −0.127511 | + | 0.118313i | ||||
\(987\) | −3729.60 | + | 16340.4i | −0.120278 | + | 0.526973i | ||||
\(988\) | −8869.55 | −0.285605 | ||||||||
\(989\) | 3564.10 | − | 453.717i | 0.114592 | − | 0.0145878i | ||||
\(990\) | 516.226 | 0.0165725 | ||||||||
\(991\) | −2765.97 | + | 12118.5i | −0.0886620 | + | 0.388454i | −0.999716 | − | 0.0238336i | \(-0.992413\pi\) |
0.911054 | + | 0.412287i | \(0.135270\pi\) | |||||||
\(992\) | 4512.59 | − | 4187.07i | 0.144430 | − | 0.134012i | ||||
\(993\) | −3869.35 | − | 1863.38i | −0.123656 | − | 0.0595495i | ||||
\(994\) | 35.2401 | + | 5.31159i | 0.00112449 | + | 0.000169490i | ||||
\(995\) | 1113.93 | + | 1929.38i | 0.0354913 | + | 0.0614727i | ||||
\(996\) | −6872.26 | + | 11903.1i | −0.218630 | + | 0.378679i | ||||
\(997\) | 945.032 | − | 1185.03i | 0.0300195 | − | 0.0376433i | −0.766595 | − | 0.642131i | \(-0.778051\pi\) |
0.796615 | + | 0.604487i | \(0.206622\pi\) | |||||||
\(998\) | −379.183 | + | 5059.85i | −0.0120269 | + | 0.160488i | ||||
\(999\) | 6373.41 | − | 16239.2i | 0.201847 | − | 0.514299i |
(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 | 43.4.g.a.13.6 | yes | 120 | |
43.10 | even | 21 | inner | 43.4.g.a.10.6 | ✓ | 120 | |
43.15 | even | 21 | 1849.4.a.l.1.27 | 60 | |||
43.28 | odd | 42 | 1849.4.a.k.1.34 | 60 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.4.g.a.10.6 | ✓ | 120 | 43.10 | even | 21 | inner | |
43.4.g.a.13.6 | yes | 120 | 1.1 | even | 1 | trivial | |
1849.4.a.k.1.34 | 60 | 43.28 | odd | 42 | |||
1849.4.a.l.1.27 | 60 | 43.15 | even | 21 |