Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [273,2,Mod(131,273)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(273, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 5, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("273.131");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 273 = 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 273.bh (of order \(6\), degree \(2\), 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: | \(2.17991597518\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 131.3 | ||
Character | \(\chi\) | \(=\) | 273.131 |
Dual form | 273.2.bh.a.248.3 |
$q$-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 \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).
\(n\) | \(92\) | \(106\) | \(157\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(e\left(\frac{5}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.13803 | − | 1.23439i | −1.51182 | − | 0.872848i | −0.999905 | − | 0.0138104i | \(-0.995604\pi\) |
−0.511913 | − | 0.859038i | \(-0.671063\pi\) | |||||||
\(3\) | 1.47880 | + | 0.901745i | 0.853787 | + | 0.520623i | ||||
\(4\) | 2.04745 | + | 3.54630i | 1.02373 | + | 1.77315i | ||||
\(5\) | 1.98059 | − | 3.43049i | 0.885748 | − | 1.53416i | 0.0408938 | − | 0.999163i | \(-0.486979\pi\) |
0.844854 | − | 0.534997i | \(-0.179687\pi\) | |||||||
\(6\) | −2.04862 | − | 3.75338i | −0.836345 | − | 1.53231i | ||||
\(7\) | 2.62523 | − | 0.328920i | 0.992242 | − | 0.124320i | ||||
\(8\) | − | 5.17189i | − | 1.82854i | ||||||
\(9\) | 1.37371 | + | 2.66701i | 0.457903 | + | 0.889002i | ||||
\(10\) | −8.46914 | + | 4.88966i | −2.67818 | + | 1.54625i | ||||
\(11\) | −2.50371 | + | 1.44552i | −0.754896 | + | 0.435840i | −0.827460 | − | 0.561524i | \(-0.810215\pi\) |
0.0725641 | + | 0.997364i | \(0.476882\pi\) | |||||||
\(12\) | −0.170076 | + | 7.09055i | −0.0490967 | + | 2.04687i | ||||
\(13\) | − | 1.00000i | − | 0.277350i | ||||||
\(14\) | −6.01884 | − | 2.53732i | −1.60860 | − | 0.678127i | ||||
\(15\) | 6.02233 | − | 3.28702i | 1.55496 | − | 0.848705i | ||||
\(16\) | −2.28923 | + | 3.96507i | −0.572308 | + | 0.991267i | ||||
\(17\) | 2.85559 | + | 4.94603i | 0.692582 | + | 1.19959i | 0.970989 | + | 0.239125i | \(0.0768604\pi\) |
−0.278406 | + | 0.960463i | \(0.589806\pi\) | |||||||
\(18\) | 0.355098 | − | 7.39784i | 0.0836974 | − | 1.74369i | ||||
\(19\) | −2.00211 | − | 1.15592i | −0.459315 | − | 0.265186i | 0.252441 | − | 0.967612i | \(-0.418767\pi\) |
−0.711756 | + | 0.702427i | \(0.752100\pi\) | |||||||
\(20\) | 16.2207 | 3.62706 | ||||||||
\(21\) | 4.17879 | + | 1.88088i | 0.911887 | + | 0.410441i | ||||
\(22\) | 7.13734 | 1.52169 | ||||||||
\(23\) | −0.664954 | − | 0.383911i | −0.138652 | − | 0.0800510i | 0.429069 | − | 0.903272i | \(-0.358842\pi\) |
−0.567722 | + | 0.823221i | \(0.692175\pi\) | |||||||
\(24\) | 4.66372 | − | 7.64819i | 0.951979 | − | 1.56118i | ||||
\(25\) | −5.34549 | − | 9.25867i | −1.06910 | − | 1.85173i | ||||
\(26\) | −1.23439 | + | 2.13803i | −0.242084 | + | 0.419303i | ||||
\(27\) | −0.373515 | + | 5.18271i | −0.0718830 | + | 0.997413i | ||||
\(28\) | 6.54148 | + | 8.63638i | 1.23622 | + | 1.63212i | ||||
\(29\) | − | 5.11554i | − | 0.949931i | −0.880004 | − | 0.474966i | \(-0.842460\pi\) | ||
0.880004 | − | 0.474966i | \(-0.157540\pi\) | |||||||
\(30\) | −16.9334 | − | 0.406170i | −3.09160 | − | 0.0741561i | ||||
\(31\) | 0.564978 | − | 0.326190i | 0.101473 | − | 0.0585855i | −0.448405 | − | 0.893831i | \(-0.648008\pi\) |
0.549878 | + | 0.835245i | \(0.314674\pi\) | |||||||
\(32\) | 0.830937 | − | 0.479742i | 0.146890 | − | 0.0848071i | ||||
\(33\) | −5.00598 | − | 0.120075i | −0.871428 | − | 0.0209023i | ||||
\(34\) | − | 14.0997i | − | 2.41808i | ||||||
\(35\) | 4.07115 | − | 9.65726i | 0.688149 | − | 1.63237i | ||||
\(36\) | −6.64538 | + | 10.3322i | −1.10756 | + | 1.72203i | ||||
\(37\) | 1.28443 | − | 2.22471i | 0.211160 | − | 0.365739i | −0.740918 | − | 0.671596i | \(-0.765609\pi\) |
0.952078 | + | 0.305856i | \(0.0989426\pi\) | |||||||
\(38\) | 2.85371 | + | 4.94278i | 0.462933 | + | 0.801824i | ||||
\(39\) | 0.901745 | − | 1.47880i | 0.144395 | − | 0.236798i | ||||
\(40\) | −17.7421 | − | 10.2434i | −2.80527 | − | 1.61962i | ||||
\(41\) | 2.44391 | 0.381674 | 0.190837 | − | 0.981622i | \(-0.438880\pi\) | ||||
0.190837 | + | 0.981622i | \(0.438880\pi\) | |||||||
\(42\) | −6.61265 | − | 9.17965i | −1.02035 | − | 1.41645i | ||||
\(43\) | −8.81304 | −1.34398 | −0.671988 | − | 0.740562i | \(-0.734559\pi\) | ||||
−0.671988 | + | 0.740562i | \(0.734559\pi\) | |||||||
\(44\) | −10.2525 | − | 5.91926i | −1.54562 | − | 0.892362i | ||||
\(45\) | 11.8699 | + | 0.569757i | 1.76946 | + | 0.0849343i | ||||
\(46\) | 0.947795 | + | 1.64163i | 0.139745 | + | 0.242045i | ||||
\(47\) | −1.84210 | + | 3.19061i | −0.268698 | + | 0.465398i | −0.968526 | − | 0.248913i | \(-0.919927\pi\) |
0.699828 | + | 0.714311i | \(0.253260\pi\) | |||||||
\(48\) | −6.96080 | + | 3.79924i | −1.00471 | + | 0.548374i | ||||
\(49\) | 6.78362 | − | 1.72698i | 0.969089 | − | 0.246712i | ||||
\(50\) | 26.3938i | 3.73264i | ||||||||
\(51\) | −0.237205 | + | 9.88921i | −0.0332154 | + | 1.38477i | ||||
\(52\) | 3.54630 | − | 2.04745i | 0.491783 | − | 0.283931i | ||||
\(53\) | 5.17790 | − | 2.98946i | 0.711239 | − | 0.410634i | −0.100281 | − | 0.994959i | \(-0.531974\pi\) |
0.811520 | + | 0.584325i | \(0.198641\pi\) | |||||||
\(54\) | 7.19609 | − | 10.6197i | 0.979264 | − | 1.44516i | ||||
\(55\) | 11.4519i | 1.54418i | ||||||||
\(56\) | −1.70114 | − | 13.5774i | −0.227324 | − | 1.81435i | ||||
\(57\) | −1.91838 | − | 3.51476i | −0.254095 | − | 0.465542i | ||||
\(58\) | −6.31459 | + | 10.9372i | −0.829146 | + | 1.43612i | ||||
\(59\) | −0.198362 | − | 0.343574i | −0.0258246 | − | 0.0447295i | 0.852824 | − | 0.522198i | \(-0.174888\pi\) |
−0.878649 | + | 0.477468i | \(0.841554\pi\) | |||||||
\(60\) | 23.9872 | + | 14.6269i | 3.09673 | + | 1.88833i | ||||
\(61\) | 3.42009 | + | 1.97459i | 0.437897 | + | 0.252820i | 0.702705 | − | 0.711481i | \(-0.251975\pi\) |
−0.264808 | + | 0.964301i | \(0.585309\pi\) | |||||||
\(62\) | −1.61059 | −0.204545 | ||||||||
\(63\) | 4.48353 | + | 6.54965i | 0.564872 | + | 0.825179i | ||||
\(64\) | 6.78817 | 0.848521 | ||||||||
\(65\) | −3.43049 | − | 1.98059i | −0.425500 | − | 0.245662i | ||||
\(66\) | 10.5547 | + | 6.43607i | 1.29920 | + | 0.792225i | ||||
\(67\) | 1.12645 | + | 1.95107i | 0.137618 | + | 0.238361i | 0.926594 | − | 0.376062i | \(-0.122722\pi\) |
−0.788977 | + | 0.614423i | \(0.789389\pi\) | |||||||
\(68\) | −11.6934 | + | 20.2535i | −1.41803 | + | 2.45610i | ||||
\(69\) | −0.637145 | − | 1.16735i | −0.0767032 | − | 0.140532i | ||||
\(70\) | −20.6251 | + | 15.6221i | −2.46517 | + | 1.86720i | ||||
\(71\) | 5.63534i | 0.668792i | 0.942433 | + | 0.334396i | \(0.108532\pi\) | ||||
−0.942433 | + | 0.334396i | \(0.891468\pi\) | |||||||
\(72\) | 13.7934 | − | 7.10467i | 1.62557 | − | 0.837294i | ||||
\(73\) | −13.0917 | + | 7.55849i | −1.53227 | + | 0.884654i | −0.533009 | + | 0.846109i | \(0.678939\pi\) |
−0.999257 | + | 0.0385447i | \(0.987728\pi\) | |||||||
\(74\) | −5.49233 | + | 3.17100i | −0.638470 | + | 0.368621i | ||||
\(75\) | 0.444034 | − | 18.5120i | 0.0512726 | − | 2.13758i | ||||
\(76\) | − | 9.46675i | − | 1.08591i | ||||||
\(77\) | −6.09734 | + | 4.61833i | −0.694856 | + | 0.526307i | ||||
\(78\) | −3.75338 | + | 2.04862i | −0.424987 | + | 0.231960i | ||||
\(79\) | −2.76357 | + | 4.78664i | −0.310926 | + | 0.538539i | −0.978563 | − | 0.205947i | \(-0.933972\pi\) |
0.667637 | + | 0.744487i | \(0.267306\pi\) | |||||||
\(80\) | 9.06807 | + | 15.7064i | 1.01384 | + | 1.75602i | ||||
\(81\) | −5.22584 | + | 7.32739i | −0.580649 | + | 0.814154i | ||||
\(82\) | −5.22515 | − | 3.01674i | −0.577021 | − | 0.333143i | ||||
\(83\) | −16.7641 | −1.84010 | −0.920048 | − | 0.391806i | \(-0.871850\pi\) | ||||
−0.920048 | + | 0.391806i | \(0.871850\pi\) | |||||||
\(84\) | 1.88574 | + | 18.6702i | 0.205751 | + | 2.03709i | ||||
\(85\) | 22.6230 | 2.45381 | ||||||||
\(86\) | 18.8426 | + | 10.8788i | 2.03184 | + | 1.17309i | ||||
\(87\) | 4.61291 | − | 7.56487i | 0.494556 | − | 0.811039i | ||||
\(88\) | 7.47604 | + | 12.9489i | 0.796949 | + | 1.38036i | ||||
\(89\) | 3.59294 | − | 6.22316i | 0.380851 | − | 0.659653i | −0.610333 | − | 0.792145i | \(-0.708964\pi\) |
0.991184 | + | 0.132491i | \(0.0422977\pi\) | |||||||
\(90\) | −24.6749 | − | 15.8703i | −2.60096 | − | 1.67287i | ||||
\(91\) | −0.328920 | − | 2.62523i | −0.0344802 | − | 0.275198i | ||||
\(92\) | − | 3.14416i | − | 0.327802i | ||||||
\(93\) | 1.12963 | + | 0.0270957i | 0.117137 | + | 0.00280969i | ||||
\(94\) | 7.87694 | − | 4.54775i | 0.812444 | − | 0.469065i | ||||
\(95\) | −7.93072 | + | 4.57880i | −0.813674 | + | 0.469775i | ||||
\(96\) | 1.66140 | + | 0.0398507i | 0.169566 | + | 0.00406725i | ||||
\(97\) | 2.08050i | 0.211242i | 0.994406 | + | 0.105621i | \(0.0336831\pi\) | ||||
−0.994406 | + | 0.105621i | \(0.966317\pi\) | |||||||
\(98\) | −16.6354 | − | 4.68132i | −1.68043 | − | 0.472885i | ||||
\(99\) | −7.29457 | − | 4.69168i | −0.733132 | − | 0.471532i | ||||
\(100\) | 21.8893 | − | 37.9134i | 2.18893 | − | 3.79134i | ||||
\(101\) | −7.53326 | − | 13.0480i | −0.749587 | − | 1.29832i | −0.948021 | − | 0.318209i | \(-0.896919\pi\) |
0.198433 | − | 0.980114i | \(-0.436415\pi\) | |||||||
\(102\) | 12.7143 | − | 20.8506i | 1.25891 | − | 2.06452i | ||||
\(103\) | 9.15683 | + | 5.28670i | 0.902249 | + | 0.520914i | 0.877929 | − | 0.478791i | \(-0.158925\pi\) |
0.0243198 | + | 0.999704i | \(0.492258\pi\) | |||||||
\(104\) | −5.17189 | −0.507145 | ||||||||
\(105\) | 14.7288 | − | 10.6100i | 1.43738 | − | 1.03543i | ||||
\(106\) | −14.7607 | −1.43368 | ||||||||
\(107\) | −1.24801 | − | 0.720540i | −0.120650 | − | 0.0696572i | 0.438461 | − | 0.898750i | \(-0.355524\pi\) |
−0.559110 | + | 0.829093i | \(0.688857\pi\) | |||||||
\(108\) | −19.1442 | + | 9.28677i | −1.84215 | + | 0.893620i | ||||
\(109\) | 0.00139677 | + | 0.00241928i | 0.000133787 | + | 0.000231725i | 0.866092 | − | 0.499884i | \(-0.166624\pi\) |
−0.865959 | + | 0.500116i | \(0.833291\pi\) | |||||||
\(110\) | 14.1362 | − | 24.4846i | 1.34783 | − | 2.33451i | ||||
\(111\) | 3.90554 | − | 2.13167i | 0.370698 | − | 0.202329i | ||||
\(112\) | −4.70556 | + | 11.1622i | −0.444634 | + | 1.05473i | ||||
\(113\) | 15.2930i | 1.43864i | 0.694678 | + | 0.719321i | \(0.255547\pi\) | ||||
−0.694678 | + | 0.719321i | \(0.744453\pi\) | |||||||
\(114\) | −0.237049 | + | 9.88271i | −0.0222017 | + | 0.925600i | ||||
\(115\) | −2.63400 | + | 1.52074i | −0.245622 | + | 0.141810i | ||||
\(116\) | 18.1412 | − | 10.4738i | 1.68437 | − | 0.972471i | ||||
\(117\) | 2.66701 | − | 1.37371i | 0.246565 | − | 0.127000i | ||||
\(118\) | 0.979429i | 0.0901638i | ||||||||
\(119\) | 9.12342 | + | 12.0452i | 0.836343 | + | 1.10418i | ||||
\(120\) | −17.0001 | − | 31.1468i | −1.55189 | − | 2.84330i | ||||
\(121\) | −1.32097 | + | 2.28798i | −0.120088 | + | 0.207998i | ||||
\(122\) | −4.87484 | − | 8.44347i | −0.441347 | − | 0.764436i | ||||
\(123\) | 3.61405 | + | 2.20378i | 0.325868 | + | 0.198708i | ||||
\(124\) | 2.31353 | + | 1.33572i | 0.207762 | + | 0.119951i | ||||
\(125\) | −22.5430 | −2.01631 | ||||||||
\(126\) | −1.50109 | − | 19.5378i | −0.133728 | − | 1.74057i | ||||
\(127\) | −16.5236 | −1.46623 | −0.733115 | − | 0.680104i | \(-0.761934\pi\) | ||||
−0.733115 | + | 0.680104i | \(0.761934\pi\) | |||||||
\(128\) | −16.1752 | − | 9.33876i | −1.42970 | − | 0.825437i | ||||
\(129\) | −13.0327 | − | 7.94711i | −1.14747 | − | 0.699704i | ||||
\(130\) | 4.88966 | + | 8.46914i | 0.428852 | + | 0.742793i | ||||
\(131\) | −5.98646 | + | 10.3689i | −0.523040 | + | 0.905931i | 0.476601 | + | 0.879120i | \(0.341869\pi\) |
−0.999641 | + | 0.0268116i | \(0.991465\pi\) | |||||||
\(132\) | −9.82369 | − | 17.9985i | −0.855042 | − | 1.56657i | ||||
\(133\) | −5.63619 | − | 2.37601i | −0.488719 | − | 0.206026i | ||||
\(134\) | − | 5.56193i | − | 0.480478i | ||||||
\(135\) | 17.0394 | + | 11.5462i | 1.46652 | + | 0.993737i | ||||
\(136\) | 25.5803 | − | 14.7688i | 2.19349 | − | 1.26641i | ||||
\(137\) | 5.96118 | − | 3.44169i | 0.509298 | − | 0.294043i | −0.223247 | − | 0.974762i | \(-0.571666\pi\) |
0.732545 | + | 0.680719i | \(0.238332\pi\) | |||||||
\(138\) | −0.0787305 | + | 3.28231i | −0.00670199 | + | 0.279409i | ||||
\(139\) | 12.0004i | 1.01786i | 0.860808 | + | 0.508929i | \(0.169959\pi\) | ||||
−0.860808 | + | 0.508929i | \(0.830041\pi\) | |||||||
\(140\) | 42.5830 | − | 5.33532i | 3.59892 | − | 0.450917i | ||||
\(141\) | −5.60122 | + | 3.05718i | −0.471708 | + | 0.257461i | ||||
\(142\) | 6.95623 | − | 12.0485i | 0.583754 | − | 1.01109i | ||||
\(143\) | 1.44552 | + | 2.50371i | 0.120880 | + | 0.209371i | ||||
\(144\) | −13.7196 | − | 0.658543i | −1.14330 | − | 0.0548786i | ||||
\(145\) | −17.5488 | − | 10.1318i | −1.45735 | − | 0.841400i | ||||
\(146\) | 37.3206 | 3.08867 | ||||||||
\(147\) | 11.5889 | + | 3.56324i | 0.955839 | + | 0.293891i | ||||
\(148\) | 10.5193 | 0.864680 | ||||||||
\(149\) | −1.87342 | − | 1.08162i | −0.153477 | − | 0.0886098i | 0.421295 | − | 0.906924i | \(-0.361576\pi\) |
−0.574772 | + | 0.818314i | \(0.694909\pi\) | |||||||
\(150\) | −23.8005 | + | 39.0312i | −1.94330 | + | 3.18688i | ||||
\(151\) | −0.837446 | − | 1.45050i | −0.0681504 | − | 0.118040i | 0.829937 | − | 0.557858i | \(-0.188376\pi\) |
−0.898087 | + | 0.439818i | \(0.855043\pi\) | |||||||
\(152\) | −5.97827 | + | 10.3547i | −0.484902 | + | 0.839874i | ||||
\(153\) | −9.26833 | + | 14.4103i | −0.749300 | + | 1.16500i | ||||
\(154\) | 18.7371 | − | 2.34762i | 1.50988 | − | 0.189176i | ||||
\(155\) | − | 2.58420i | − | 0.207568i | ||||||
\(156\) | 7.09055 | + | 0.170076i | 0.567698 | + | 0.0136170i | ||||
\(157\) | −8.58266 | + | 4.95520i | −0.684971 | + | 0.395468i | −0.801725 | − | 0.597693i | \(-0.796084\pi\) |
0.116755 | + | 0.993161i | \(0.462751\pi\) | |||||||
\(158\) | 11.8172 | − | 6.82266i | 0.940126 | − | 0.542782i | ||||
\(159\) | 10.3528 | + | 0.248326i | 0.821032 | + | 0.0196935i | ||||
\(160\) | − | 3.80069i | − | 0.300471i | ||||||
\(161\) | −1.87193 | − | 0.789137i | −0.147529 | − | 0.0621927i | ||||
\(162\) | 20.2179 | − | 9.21545i | 1.58847 | − | 0.724034i | ||||
\(163\) | 3.53264 | − | 6.11871i | 0.276698 | − | 0.479255i | −0.693864 | − | 0.720106i | \(-0.744093\pi\) |
0.970562 | + | 0.240851i | \(0.0774266\pi\) | |||||||
\(164\) | 5.00379 | + | 8.66682i | 0.390730 | + | 0.676765i | ||||
\(165\) | −10.3267 | + | 16.9351i | −0.803933 | + | 1.31840i | ||||
\(166\) | 35.8421 | + | 20.6935i | 2.78189 | + | 1.60612i | ||||
\(167\) | 23.5834 | 1.82494 | 0.912469 | − | 0.409146i | \(-0.134173\pi\) | ||||
0.912469 | + | 0.409146i | \(0.134173\pi\) | |||||||
\(168\) | 9.72768 | − | 21.6122i | 0.750507 | − | 1.66742i | ||||
\(169\) | −1.00000 | −0.0769231 | ||||||||
\(170\) | −48.3688 | − | 27.9257i | −3.70972 | − | 2.14181i | ||||
\(171\) | 0.332522 | − | 6.92753i | 0.0254286 | − | 0.529761i | ||||
\(172\) | −18.0443 | − | 31.2536i | −1.37586 | − | 2.38307i | ||||
\(173\) | 1.75835 | − | 3.04555i | 0.133685 | − | 0.231549i | −0.791409 | − | 0.611287i | \(-0.790652\pi\) |
0.925094 | + | 0.379737i | \(0.123986\pi\) | |||||||
\(174\) | −19.2006 | + | 10.4798i | −1.45559 | + | 0.794470i | ||||
\(175\) | −17.0785 | − | 22.5478i | −1.29101 | − | 1.70446i | ||||
\(176\) | − | 13.2365i | − | 0.997738i | ||||||
\(177\) | 0.0164774 | − | 0.686950i | 0.00123852 | − | 0.0516343i | ||||
\(178\) | −15.3637 | + | 8.87021i | −1.15155 | + | 0.664850i | ||||
\(179\) | 19.8506 | − | 11.4607i | 1.48370 | − | 0.856615i | 0.483872 | − | 0.875139i | \(-0.339230\pi\) |
0.999828 | + | 0.0185234i | \(0.00589653\pi\) | |||||||
\(180\) | 22.2825 | + | 43.2607i | 1.66084 | + | 3.22446i | ||||
\(181\) | − | 8.12647i | − | 0.604036i | −0.953302 | − | 0.302018i | \(-0.902340\pi\) | ||
0.953302 | − | 0.302018i | \(-0.0976603\pi\) | |||||||
\(182\) | −2.53732 | + | 6.01884i | −0.188079 | + | 0.446146i | ||||
\(183\) | 3.27706 | + | 6.00407i | 0.242247 | + | 0.443834i | ||||
\(184\) | −1.98554 | + | 3.43906i | −0.146376 | + | 0.253531i | ||||
\(185\) | −5.08788 | − | 8.81247i | −0.374069 | − | 0.647906i | ||||
\(186\) | −2.38174 | − | 1.45234i | −0.174638 | − | 0.106491i | ||||
\(187\) | −14.2991 | − | 8.25561i | −1.04566 | − | 0.603710i | ||||
\(188\) | −15.0865 | −1.10029 | ||||||||
\(189\) | 0.724138 | + | 13.7286i | 0.0526733 | + | 0.998612i | ||||
\(190\) | 22.6082 | 1.64017 | ||||||||
\(191\) | −3.73362 | − | 2.15561i | −0.270155 | − | 0.155974i | 0.358803 | − | 0.933413i | \(-0.383185\pi\) |
−0.628958 | + | 0.777439i | \(0.716518\pi\) | |||||||
\(192\) | 10.0384 | + | 6.12120i | 0.724456 | + | 0.441760i | ||||
\(193\) | −3.59011 | − | 6.21826i | −0.258422 | − | 0.447600i | 0.707397 | − | 0.706816i | \(-0.249869\pi\) |
−0.965819 | + | 0.259216i | \(0.916536\pi\) | |||||||
\(194\) | 2.56815 | − | 4.44817i | 0.184383 | − | 0.319360i | ||||
\(195\) | −3.28702 | − | 6.02233i | −0.235388 | − | 0.431268i | ||||
\(196\) | 20.0135 | + | 20.5208i | 1.42954 | + | 1.46577i | ||||
\(197\) | 21.1265i | 1.50520i | 0.658479 | + | 0.752599i | \(0.271200\pi\) | ||||
−0.658479 | + | 0.752599i | \(0.728800\pi\) | |||||||
\(198\) | 9.80464 | + | 19.0353i | 0.696786 | + | 1.35278i | ||||
\(199\) | 12.2108 | − | 7.04990i | 0.865599 | − | 0.499754i | −0.000284059 | − | 1.00000i | \(-0.500090\pi\) |
0.865883 | + | 0.500246i | \(0.166757\pi\) | |||||||
\(200\) | −47.8848 | + | 27.6463i | −3.38596 | + | 1.95489i | ||||
\(201\) | −0.0935709 | + | 3.90102i | −0.00659998 | + | 0.275156i | ||||
\(202\) | 37.1960i | 2.61710i | ||||||||
\(203\) | −1.68260 | − | 13.4294i | −0.118096 | − | 0.942562i | ||||
\(204\) | −35.5557 | + | 19.4065i | −2.48940 | + | 1.35873i | ||||
\(205\) | 4.84038 | − | 8.38379i | 0.338067 | − | 0.585549i | ||||
\(206\) | −13.0517 | − | 22.6063i | −0.909357 | − | 1.57505i | ||||
\(207\) | 0.110440 | − | 2.30082i | 0.00767609 | − | 0.159918i | ||||
\(208\) | 3.96507 | + | 2.28923i | 0.274928 | + | 0.158730i | ||||
\(209\) | 6.68359 | 0.462313 | ||||||||
\(210\) | −44.5876 | + | 4.50346i | −3.07684 | + | 0.310768i | ||||
\(211\) | 10.9913 | 0.756674 | 0.378337 | − | 0.925668i | \(-0.376496\pi\) | ||||
0.378337 | + | 0.925668i | \(0.376496\pi\) | |||||||
\(212\) | 21.2030 | + | 12.2416i | 1.45623 | + | 0.840755i | ||||
\(213\) | −5.08164 | + | 8.33356i | −0.348189 | + | 0.571006i | ||||
\(214\) | 1.77886 | + | 3.08108i | 0.121600 | + | 0.210618i | ||||
\(215\) | −17.4550 | + | 30.2330i | −1.19042 | + | 2.06187i | ||||
\(216\) | 26.8044 | + | 1.93178i | 1.82381 | + | 0.131441i | ||||
\(217\) | 1.37590 | − | 1.04216i | 0.0934025 | − | 0.0707462i | ||||
\(218\) | − | 0.00689667i | − | 0.000467101i | ||||||
\(219\) | −26.1758 | − | 0.627861i | −1.76880 | − | 0.0424269i | ||||
\(220\) | −40.6119 | + | 23.4473i | −2.73805 | + | 1.58082i | ||||
\(221\) | 4.94603 | − | 2.85559i | 0.332706 | − | 0.192088i | ||||
\(222\) | −10.9815 | − | 0.263405i | −0.737030 | − | 0.0176786i | ||||
\(223\) | 2.91463i | 0.195178i | 0.995227 | + | 0.0975890i | \(0.0311130\pi\) | ||||
−0.995227 | + | 0.0975890i | \(0.968887\pi\) | |||||||
\(224\) | 2.02360 | − | 1.53274i | 0.135207 | − | 0.102411i | ||||
\(225\) | 17.3498 | − | 26.9752i | 1.15665 | − | 1.79835i | ||||
\(226\) | 18.8775 | − | 32.6969i | 1.25572 | − | 2.17496i | ||||
\(227\) | 2.36130 | + | 4.08989i | 0.156725 | + | 0.271455i | 0.933686 | − | 0.358093i | \(-0.116573\pi\) |
−0.776961 | + | 0.629549i | \(0.783240\pi\) | |||||||
\(228\) | 8.53660 | − | 13.9994i | 0.565350 | − | 0.927136i | ||||
\(229\) | −10.8649 | − | 6.27284i | −0.717971 | − | 0.414521i | 0.0960342 | − | 0.995378i | \(-0.469384\pi\) |
−0.814006 | + | 0.580857i | \(0.802718\pi\) | |||||||
\(230\) | 7.50878 | 0.495114 | ||||||||
\(231\) | −13.1813 | + | 1.33134i | −0.867267 | + | 0.0875960i | ||||
\(232\) | −26.4570 | −1.73699 | ||||||||
\(233\) | 9.77742 | + | 5.64500i | 0.640540 | + | 0.369816i | 0.784823 | − | 0.619720i | \(-0.212754\pi\) |
−0.144282 | + | 0.989537i | \(0.546087\pi\) | |||||||
\(234\) | −7.39784 | − | 0.355098i | −0.483612 | − | 0.0232135i | ||||
\(235\) | 7.29690 | + | 12.6386i | 0.475997 | + | 0.824451i | ||||
\(236\) | 0.812276 | − | 1.40690i | 0.0528747 | − | 0.0915817i | ||||
\(237\) | −8.40310 | + | 4.58646i | −0.545840 | + | 0.297923i | ||||
\(238\) | −4.63768 | − | 37.0149i | −0.300616 | − | 2.39932i | ||||
\(239\) | − | 3.85158i | − | 0.249138i | −0.992211 | − | 0.124569i | \(-0.960245\pi\) | ||
0.992211 | − | 0.124569i | \(-0.0397548\pi\) | |||||||
\(240\) | −0.753258 | + | 31.4037i | −0.0486226 | + | 2.02710i | ||||
\(241\) | 22.7827 | − | 13.1536i | 1.46756 | − | 0.847299i | 0.468224 | − | 0.883610i | \(-0.344894\pi\) |
0.999341 | + | 0.0363115i | \(0.0115608\pi\) | |||||||
\(242\) | 5.64853 | − | 3.26118i | 0.363101 | − | 0.209637i | ||||
\(243\) | −14.3354 | + | 6.12338i | −0.919618 | + | 0.392815i | ||||
\(244\) | 16.1715i | 1.03528i | ||||||||
\(245\) | 7.51121 | − | 26.6916i | 0.479873 | − | 1.70526i | ||||
\(246\) | −5.00663 | − | 9.17292i | −0.319211 | − | 0.584844i | ||||
\(247\) | −1.15592 | + | 2.00211i | −0.0735492 | + | 0.127391i | ||||
\(248\) | −1.68702 | − | 2.92200i | −0.107126 | − | 0.185547i | ||||
\(249\) | −24.7907 | − | 15.1169i | −1.57105 | − | 0.957996i | ||||
\(250\) | 48.1978 | + | 27.8270i | 3.04829 | + | 1.75993i | ||||
\(251\) | 8.08812 | 0.510518 | 0.255259 | − | 0.966873i | \(-0.417839\pi\) | ||||
0.255259 | + | 0.966873i | \(0.417839\pi\) | |||||||
\(252\) | −14.0472 | + | 29.3100i | −0.884889 | + | 1.84636i | ||||
\(253\) | 2.21980 | 0.139558 | ||||||||
\(254\) | 35.3279 | + | 20.3966i | 2.21667 | + | 1.27980i | ||||
\(255\) | 33.4550 | + | 20.4002i | 2.09503 | + | 1.27751i | ||||
\(256\) | 16.2672 | + | 28.1757i | 1.01670 | + | 1.76098i | ||||
\(257\) | −10.7917 | + | 18.6918i | −0.673167 | + | 1.16596i | 0.303834 | + | 0.952725i | \(0.401733\pi\) |
−0.977001 | + | 0.213235i | \(0.931600\pi\) | |||||||
\(258\) | 18.0545 | + | 33.0787i | 1.12403 | + | 2.05939i | ||||
\(259\) | 2.64018 | − | 6.26283i | 0.164053 | − | 0.389154i | ||||
\(260\) | − | 16.2207i | − | 1.00596i | ||||||
\(261\) | 13.6432 | − | 7.02727i | 0.844491 | − | 0.434977i | ||||
\(262\) | 25.5985 | − | 14.7793i | 1.58148 | − | 0.913068i | ||||
\(263\) | −4.50226 | + | 2.59938i | −0.277621 | + | 0.160285i | −0.632346 | − | 0.774686i | \(-0.717908\pi\) |
0.354725 | + | 0.934971i | \(0.384575\pi\) | |||||||
\(264\) | −0.621013 | + | 25.8903i | −0.0382207 | + | 1.59344i | ||||
\(265\) | − | 23.6836i | − | 1.45487i | ||||||
\(266\) | 9.11742 | + | 12.0373i | 0.559025 | + | 0.738052i | ||||
\(267\) | 10.9250 | − | 5.96290i | 0.668596 | − | 0.364924i | ||||
\(268\) | −4.61271 | + | 7.98945i | −0.281766 | + | 0.488033i | ||||
\(269\) | −5.85582 | − | 10.1426i | −0.357035 | − | 0.618403i | 0.630429 | − | 0.776247i | \(-0.282879\pi\) |
−0.987464 | + | 0.157844i | \(0.949546\pi\) | |||||||
\(270\) | −22.1783 | − | 45.7195i | −1.34973 | − | 2.78240i | ||||
\(271\) | −7.51443 | − | 4.33846i | −0.456469 | − | 0.263543i | 0.254089 | − | 0.967181i | \(-0.418224\pi\) |
−0.710559 | + | 0.703638i | \(0.751558\pi\) | |||||||
\(272\) | −26.1484 | −1.58548 | ||||||||
\(273\) | 1.88088 | − | 4.17879i | 0.113836 | − | 0.252912i | ||||
\(274\) | −16.9936 | −1.02662 | ||||||||
\(275\) | 26.7671 | + | 15.4540i | 1.61412 | + | 0.931911i | ||||
\(276\) | 2.83524 | − | 4.64959i | 0.170661 | − | 0.279873i | ||||
\(277\) | 10.6589 | + | 18.4617i | 0.640430 | + | 1.10926i | 0.985337 | + | 0.170621i | \(0.0545773\pi\) |
−0.344907 | + | 0.938637i | \(0.612089\pi\) | |||||||
\(278\) | 14.8132 | − | 25.6572i | 0.888436 | − | 1.53882i | ||||
\(279\) | 1.64607 | + | 1.05871i | 0.0985475 | + | 0.0633833i | ||||
\(280\) | −49.9462 | − | 21.0555i | −2.98486 | − | 1.25831i | ||||
\(281\) | − | 20.1238i | − | 1.20049i | −0.799817 | − | 0.600244i | \(-0.795070\pi\) | ||
0.799817 | − | 0.600244i | \(-0.204930\pi\) | |||||||
\(282\) | 15.7493 | + | 0.377768i | 0.937860 | + | 0.0224958i | ||||
\(283\) | −8.12982 | + | 4.69375i | −0.483268 | + | 0.279015i | −0.721777 | − | 0.692125i | \(-0.756674\pi\) |
0.238510 | + | 0.971140i | \(0.423341\pi\) | |||||||
\(284\) | −19.9846 | + | 11.5381i | −1.18587 | + | 0.684661i | ||||
\(285\) | −15.8569 | − | 0.380347i | −0.939280 | − | 0.0225298i | ||||
\(286\) | − | 7.13734i | − | 0.422040i | ||||||
\(287\) | 6.41581 | − | 0.803851i | 0.378713 | − | 0.0474498i | ||||
\(288\) | 2.42094 | + | 1.55709i | 0.142655 | + | 0.0917523i | ||||
\(289\) | −7.80879 | + | 13.5252i | −0.459341 | + | 0.795602i | ||||
\(290\) | 25.0132 | + | 43.3242i | 1.46883 | + | 2.54408i | ||||
\(291\) | −1.87608 | + | 3.07664i | −0.109978 | + | 0.180356i | ||||
\(292\) | −53.6093 | − | 30.9513i | −3.13725 | − | 1.81129i | ||||
\(293\) | −32.6839 | −1.90941 | −0.954706 | − | 0.297550i | \(-0.903831\pi\) | ||||
−0.954706 | + | 0.297550i | \(0.903831\pi\) | |||||||
\(294\) | −20.3791 | − | 21.9236i | −1.18853 | − | 1.27861i | ||||
\(295\) | −1.57150 | −0.0914963 | ||||||||
\(296\) | −11.5059 | − | 6.64295i | −0.668768 | − | 0.386114i | ||||
\(297\) | −6.55652 | − | 13.5159i | −0.380448 | − | 0.784273i | ||||
\(298\) | 2.67029 | + | 4.62508i | 0.154686 | + | 0.267924i | ||||
\(299\) | −0.383911 | + | 0.664954i | −0.0222022 | + | 0.0384553i | ||||
\(300\) | 66.5582 | − | 36.3278i | 3.84274 | − | 2.09739i | ||||
\(301\) | −23.1362 | + | 2.89879i | −1.33355 | + | 0.167083i | ||||
\(302\) | 4.13495i | 0.237940i | ||||||||
\(303\) | 0.625765 | − | 26.0885i | 0.0359493 | − | 1.49874i | ||||
\(304\) | 9.16658 | − | 5.29232i | 0.525739 | − | 0.303536i | ||||
\(305\) | 13.5476 | − | 7.82171i | 0.775733 | − | 0.447870i | ||||
\(306\) | 37.6040 | − | 19.3689i | 2.14968 | − | 1.10725i | ||||
\(307\) | 3.57025i | 0.203765i | 0.994796 | + | 0.101883i | \(0.0324866\pi\) | ||||
−0.994796 | + | 0.101883i | \(0.967513\pi\) | |||||||
\(308\) | −28.8620 | − | 12.1671i | −1.64456 | − | 0.693288i | ||||
\(309\) | 8.77388 | + | 16.0751i | 0.499129 | + | 0.914481i | ||||
\(310\) | −3.18992 | + | 5.52510i | −0.181175 | + | 0.313805i | ||||
\(311\) | −9.03519 | − | 15.6494i | −0.512338 | − | 0.887396i | −0.999898 | − | 0.0143063i | \(-0.995446\pi\) |
0.487559 | − | 0.873090i | \(-0.337887\pi\) | |||||||
\(312\) | −7.64819 | − | 4.66372i | −0.432994 | − | 0.264031i | ||||
\(313\) | −3.86945 | − | 2.23403i | −0.218714 | − | 0.126275i | 0.386641 | − | 0.922231i | \(-0.373635\pi\) |
−0.605355 | + | 0.795956i | \(0.706969\pi\) | |||||||
\(314\) | 24.4667 | 1.38073 | ||||||||
\(315\) | 31.3485 | − | 2.40851i | 1.76629 | − | 0.135704i | ||||
\(316\) | −22.6331 | −1.27321 | ||||||||
\(317\) | −7.58741 | − | 4.38059i | −0.426152 | − | 0.246039i | 0.271554 | − | 0.962423i | \(-0.412462\pi\) |
−0.697706 | + | 0.716384i | \(0.745796\pi\) | |||||||
\(318\) | −21.8281 | − | 13.3104i | −1.22406 | − | 0.746409i | ||||
\(319\) | 7.39459 | + | 12.8078i | 0.414018 | + | 0.717100i | ||||
\(320\) | 13.4446 | − | 23.2867i | 0.751576 | − | 1.30177i | ||||
\(321\) | −1.19582 | − | 2.19093i | −0.0667441 | − | 0.122286i | ||||
\(322\) | 3.02814 | + | 3.99790i | 0.168752 | + | 0.222794i | ||||
\(323\) | − | 13.2033i | − | 0.734651i | ||||||
\(324\) | −36.6848 | − | 3.52988i | −2.03804 | − | 0.196105i | ||||
\(325\) | −9.25867 | + | 5.34549i | −0.513578 | + | 0.296515i | ||||
\(326\) | −15.1058 | + | 8.72134i | −0.836633 | + | 0.483030i | ||||
\(327\) | −0.000116026 | 0.00483717i | −6.41624e−6 | 0.000267496i | ||||||
\(328\) | − | 12.6396i | − | 0.697905i | ||||||
\(329\) | −3.78647 | + | 8.98198i | −0.208755 | + | 0.495193i | ||||
\(330\) | 42.9834 | − | 23.4606i | 2.36616 | − | 1.29146i | ||||
\(331\) | −12.1862 | + | 21.1071i | −0.669813 | + | 1.16015i | 0.308143 | + | 0.951340i | \(0.400292\pi\) |
−0.977956 | + | 0.208810i | \(0.933041\pi\) | |||||||
\(332\) | −34.3237 | − | 59.4503i | −1.88376 | − | 3.26276i | ||||
\(333\) | 7.69775 | + | 0.369493i | 0.421834 | + | 0.0202481i | ||||
\(334\) | −50.4221 | − | 29.1112i | −2.75897 | − | 1.59289i | ||||
\(335\) | 8.92416 | 0.487579 | ||||||||
\(336\) | −17.0240 | + | 12.2634i | −0.928737 | + | 0.669025i | ||||
\(337\) | 32.9021 | 1.79229 | 0.896145 | − | 0.443761i | \(-0.146356\pi\) | ||||
0.896145 | + | 0.443761i | \(0.146356\pi\) | |||||||
\(338\) | 2.13803 | + | 1.23439i | 0.116294 | + | 0.0671422i | ||||
\(339\) | −13.7904 | + | 22.6153i | −0.748990 | + | 1.22829i | ||||
\(340\) | 46.3197 | + | 80.2280i | 2.51204 | + | 4.35097i | ||||
\(341\) | −0.943027 | + | 1.63337i | −0.0510678 | + | 0.0884520i | ||||
\(342\) | −9.26224 | + | 14.4008i | −0.500844 | + | 0.778707i | ||||
\(343\) | 17.2405 | − | 6.76499i | 0.930900 | − | 0.365275i | ||||
\(344\) | 45.5800i | 2.45751i | ||||||||
\(345\) | −5.26649 | − | 0.126324i | −0.283539 | − | 0.00680103i | ||||
\(346\) | −7.51882 | + | 4.34099i | −0.404214 | + | 0.233373i | ||||
\(347\) | −1.76492 | + | 1.01898i | −0.0947458 | + | 0.0547015i | −0.546624 | − | 0.837378i | \(-0.684087\pi\) |
0.451878 | + | 0.892079i | \(0.350754\pi\) | |||||||
\(348\) | 36.2720 | + | 0.870030i | 1.94438 | + | 0.0466385i | ||||
\(349\) | − | 21.0742i | − | 1.12808i | −0.825748 | − | 0.564039i | \(-0.809247\pi\) | ||
0.825748 | − | 0.564039i | \(-0.190753\pi\) | |||||||
\(350\) | 8.68145 | + | 69.2896i | 0.464043 | + | 3.70369i | ||||
\(351\) | 5.18271 | + | 0.373515i | 0.276633 | + | 0.0199368i | ||||
\(352\) | −1.38695 | + | 2.40227i | −0.0739246 | + | 0.128041i | ||||
\(353\) | −10.2954 | − | 17.8322i | −0.547969 | − | 0.949111i | −0.998414 | − | 0.0563063i | \(-0.982068\pi\) |
0.450444 | − | 0.892805i | \(-0.351266\pi\) | |||||||
\(354\) | −0.883196 | + | 1.44838i | −0.0469413 | + | 0.0769806i | ||||
\(355\) | 19.3320 | + | 11.1613i | 1.02603 | + | 0.592381i | ||||
\(356\) | 29.4255 | 1.55955 | ||||||||
\(357\) | 2.63005 | + | 26.0394i | 0.139197 | + | 1.37815i | ||||
\(358\) | −56.5882 | −2.99078 | ||||||||
\(359\) | 12.1181 | + | 6.99637i | 0.639567 | + | 0.369254i | 0.784448 | − | 0.620195i | \(-0.212947\pi\) |
−0.144881 | + | 0.989449i | \(0.546280\pi\) | |||||||
\(360\) | 2.94672 | − | 61.3897i | 0.155306 | − | 3.23552i | ||||
\(361\) | −6.82771 | − | 11.8259i | −0.359353 | − | 0.622418i | ||||
\(362\) | −10.0313 | + | 17.3747i | −0.527232 | + | 0.913192i | ||||
\(363\) | −4.01662 | + | 2.19229i | −0.210818 | + | 0.115066i | ||||
\(364\) | 8.63638 | − | 6.54148i | 0.452669 | − | 0.342867i | ||||
\(365\) | 59.8811i | 3.13432i | ||||||||
\(366\) | 0.404938 | − | 16.8821i | 0.0211665 | − | 0.882441i | ||||
\(367\) | 12.4471 | − | 7.18632i | 0.649732 | − | 0.375123i | −0.138621 | − | 0.990345i | \(-0.544267\pi\) |
0.788354 | + | 0.615222i | \(0.210934\pi\) | |||||||
\(368\) | 3.04447 | − | 1.75772i | 0.158704 | − | 0.0916277i | ||||
\(369\) | 3.35722 | + | 6.51791i | 0.174770 | + | 0.339309i | ||||
\(370\) | 25.1218i | 1.30602i | ||||||||
\(371\) | 12.6099 | − | 9.55113i | 0.654671 | − | 0.495870i | ||||
\(372\) | 2.21678 | + | 4.06148i | 0.114935 | + | 0.210578i | ||||
\(373\) | 10.6122 | − | 18.3808i | 0.549477 | − | 0.951722i | −0.448833 | − | 0.893615i | \(-0.648160\pi\) |
0.998310 | − | 0.0581067i | \(-0.0185063\pi\) | |||||||
\(374\) | 20.3813 | + | 35.3015i | 1.05389 | + | 1.82540i | ||||
\(375\) | −33.3367 | − | 20.3281i | −1.72150 | − | 1.04974i | ||||
\(376\) | 16.5015 | + | 9.52713i | 0.850999 | + | 0.491324i | ||||
\(377\) | −5.11554 | −0.263464 | ||||||||
\(378\) | 15.3983 | − | 30.2462i | 0.792004 | − | 1.55569i | ||||
\(379\) | 25.3738 | 1.30336 | 0.651681 | − | 0.758493i | \(-0.274064\pi\) | ||||
0.651681 | + | 0.758493i | \(0.274064\pi\) | |||||||
\(380\) | −32.4756 | − | 18.7498i | −1.66596 | − | 0.961843i | ||||
\(381\) | −24.4351 | − | 14.9001i | −1.25185 | − | 0.763353i | ||||
\(382\) | 5.32173 | + | 9.21751i | 0.272284 | + | 0.471609i | ||||
\(383\) | −6.89465 | + | 11.9419i | −0.352300 | + | 0.610202i | −0.986652 | − | 0.162842i | \(-0.947934\pi\) |
0.634352 | + | 0.773045i | \(0.281267\pi\) | |||||||
\(384\) | −15.4987 | − | 28.3961i | −0.790916 | − | 1.44908i | ||||
\(385\) | 3.76677 | + | 30.0639i | 0.191972 | + | 1.53220i | ||||
\(386\) | 17.7265i | 0.902253i | ||||||||
\(387\) | −12.1066 | − | 23.5044i | −0.615411 | − | 1.19480i | ||||
\(388\) | −7.37806 | + | 4.25972i | −0.374564 | + | 0.216255i | ||||
\(389\) | −7.72535 | + | 4.46023i | −0.391691 | + | 0.226143i | −0.682892 | − | 0.730519i | \(-0.739278\pi\) |
0.291202 | + | 0.956662i | \(0.405945\pi\) | |||||||
\(390\) | −0.406170 | + | 16.9334i | −0.0205672 | + | 0.857457i | ||||
\(391\) | − | 4.38517i | − | 0.221768i | ||||||
\(392\) | −8.93175 | − | 35.0841i | −0.451121 | − | 1.77202i | ||||
\(393\) | −18.2029 | + | 9.93522i | −0.918213 | + | 0.501166i | ||||
\(394\) | 26.0784 | − | 45.1691i | 1.31381 | − | 2.27558i | ||||
\(395\) | 10.9470 | + | 18.9608i | 0.550804 | + | 0.954020i | ||||
\(396\) | 1.70279 | − | 35.4747i | 0.0855685 | − | 1.78267i | ||||
\(397\) | −7.55602 | − | 4.36247i | −0.379226 | − | 0.218946i | 0.298256 | − | 0.954486i | \(-0.403595\pi\) |
−0.677481 | + | 0.735540i | \(0.736929\pi\) | |||||||
\(398\) | −34.8094 | −1.74484 | ||||||||
\(399\) | −6.19225 | − | 8.59605i | −0.310000 | − | 0.430341i | ||||
\(400\) | 48.9483 | 2.44741 | ||||||||
\(401\) | 8.55479 | + | 4.93911i | 0.427206 | + | 0.246647i | 0.698156 | − | 0.715946i | \(-0.254004\pi\) |
−0.270950 | + | 0.962593i | \(0.587338\pi\) | |||||||
\(402\) | 5.01545 | − | 8.22500i | 0.250148 | − | 0.410225i | ||||
\(403\) | −0.326190 | − | 0.564978i | −0.0162487 | − | 0.0281436i | ||||
\(404\) | 30.8480 | − | 53.4303i | 1.53475 | − | 2.65826i | ||||
\(405\) | 14.7862 | + | 32.4397i | 0.734734 | + | 1.61194i | ||||
\(406\) | −12.9798 | + | 30.7896i | −0.644174 | + | 1.52806i | ||||
\(407\) | 7.42669i | 0.368127i | ||||||||
\(408\) | 51.1459 | + | 1.22680i | 2.53210 | + | 0.0607356i | ||||
\(409\) | −8.05447 | + | 4.65025i | −0.398268 | + | 0.229940i | −0.685736 | − | 0.727850i | \(-0.740520\pi\) |
0.287469 | + | 0.957790i | \(0.407186\pi\) | |||||||
\(410\) | −20.6978 | + | 11.9499i | −1.02219 | + | 0.590162i | ||||
\(411\) | 11.9189 | + | 0.285891i | 0.587918 | + | 0.0141020i | ||||
\(412\) | 43.2971i | 2.13309i | ||||||||
\(413\) | −0.633755 | − | 0.836714i | −0.0311850 | − | 0.0411720i | ||||
\(414\) | −3.07624 | + | 4.78290i | −0.151189 | + | 0.235067i | ||||
\(415\) | −33.2028 | + | 57.5089i | −1.62986 | + | 2.82300i | ||||
\(416\) | −0.479742 | − | 0.830937i | −0.0235213 | − | 0.0407400i | ||||
\(417\) | −10.8213 | + | 17.7462i | −0.529921 | + | 0.869034i | ||||
\(418\) | −14.2897 | − | 8.25018i | −0.698933 | − | 0.403529i | ||||
\(419\) | 9.12822 | 0.445943 | 0.222971 | − | 0.974825i | \(-0.428424\pi\) | ||||
0.222971 | + | 0.974825i | \(0.428424\pi\) | |||||||
\(420\) | 67.7829 | + | 30.5091i | 3.30747 | + | 1.48869i | ||||
\(421\) | 13.9350 | 0.679150 | 0.339575 | − | 0.940579i | \(-0.389717\pi\) | ||||
0.339575 | + | 0.940579i | \(0.389717\pi\) | |||||||
\(422\) | −23.4998 | − | 13.5676i | −1.14395 | − | 0.660462i | ||||
\(423\) | −11.0399 | − | 0.529917i | −0.536778 | − | 0.0257654i | ||||
\(424\) | −15.4612 | − | 26.7795i | −0.750860 | − | 1.30053i | ||||
\(425\) | 30.5291 | − | 52.8779i | 1.48088 | − | 2.56496i | ||||
\(426\) | 21.1516 | − | 11.5447i | 1.02480 | − | 0.559341i | ||||
\(427\) | 9.62799 | + | 4.05881i | 0.465931 | + | 0.196419i | ||||
\(428\) | − | 5.90109i | − | 0.285240i | ||||||
\(429\) | −0.120075 | + | 5.00598i | −0.00579726 | + | 0.241691i | ||||
\(430\) | 74.6388 | − | 43.0928i | 3.59940 | − | 2.07812i | ||||
\(431\) | −15.2353 | + | 8.79613i | −0.733860 | + | 0.423694i | −0.819833 | − | 0.572603i | \(-0.805934\pi\) |
0.0859724 | + | 0.996298i | \(0.472600\pi\) | |||||||
\(432\) | −19.6947 | − | 13.3454i | −0.947563 | − | 0.642083i | ||||
\(433\) | − | 25.9290i | − | 1.24607i | −0.782194 | − | 0.623035i | \(-0.785899\pi\) | ||
0.782194 | − | 0.623035i | \(-0.214101\pi\) | |||||||
\(434\) | −4.22816 | + | 0.529756i | −0.202958 | + | 0.0254291i | ||||
\(435\) | −16.8149 | − | 30.8074i | −0.806211 | − | 1.47710i | ||||
\(436\) | −0.00571966 | + | 0.00990674i | −0.000273922 | + | 0.000474447i | ||||
\(437\) | 0.887539 | + | 1.53726i | 0.0424567 | + | 0.0735372i | ||||
\(438\) | 55.1898 | + | 33.6537i | 2.63707 | + | 1.60804i | ||||
\(439\) | −32.7224 | − | 18.8923i | −1.56175 | − | 0.901678i | −0.997080 | − | 0.0763632i | \(-0.975669\pi\) |
−0.564673 | − | 0.825315i | \(-0.690998\pi\) | |||||||
\(440\) | 59.2280 | 2.82358 | ||||||||
\(441\) | 13.9246 | + | 15.7196i | 0.663076 | + | 0.748552i | ||||
\(442\) | −14.0997 | −0.670654 | ||||||||
\(443\) | −8.90553 | − | 5.14161i | −0.423114 | − | 0.244285i | 0.273295 | − | 0.961930i | \(-0.411887\pi\) |
−0.696409 | + | 0.717645i | \(0.745220\pi\) | |||||||
\(444\) | 15.5559 | + | 9.48572i | 0.738252 | + | 0.450172i | ||||
\(445\) | −14.2323 | − | 24.6511i | −0.674676 | − | 1.16857i | ||||
\(446\) | 3.59780 | − | 6.23157i | 0.170361 | − | 0.295073i | ||||
\(447\) | −1.79507 | − | 3.28885i | −0.0849041 | − | 0.155557i | ||||
\(448\) | 17.8205 | − | 2.23277i | 0.841938 | − | 0.105488i | ||||
\(449\) | − | 2.29400i | − | 0.108260i | −0.998534 | − | 0.0541302i | \(-0.982761\pi\) | ||
0.998534 | − | 0.0541302i | \(-0.0172386\pi\) | |||||||
\(450\) | −70.3923 | + | 36.2574i | −3.31833 | + | 1.70919i | ||||
\(451\) | −6.11883 | + | 3.53271i | −0.288124 | + | 0.166349i | ||||
\(452\) | −54.2334 | + | 31.3117i | −2.55092 | + | 1.47278i | ||||
\(453\) | 0.0695642 | − | 2.90017i | 0.00326841 | − | 0.136262i | ||||
\(454\) | − | 11.6591i | − | 0.547188i | ||||||
\(455\) | −9.65726 | − | 4.07115i | −0.452739 | − | 0.190858i | ||||
\(456\) | −18.1780 | + | 9.92162i | −0.851261 | + | 0.464623i | ||||
\(457\) | 5.01249 | − | 8.68188i | 0.234474 | − | 0.406121i | −0.724646 | − | 0.689122i | \(-0.757997\pi\) |
0.959120 | + | 0.283001i | \(0.0913298\pi\) | |||||||
\(458\) | 15.4863 | + | 26.8231i | 0.723628 | + | 1.25336i | ||||
\(459\) | −26.7004 | + | 12.9523i | −1.24627 | + | 0.604561i | ||||
\(460\) | −10.7860 | − | 6.22731i | −0.502900 | − | 0.290350i | ||||
\(461\) | −18.3280 | −0.853622 | −0.426811 | − | 0.904341i | \(-0.640363\pi\) | ||||
−0.426811 | + | 0.904341i | \(0.640363\pi\) | |||||||
\(462\) | 29.8255 | + | 13.4245i | 1.38761 | + | 0.624563i | ||||
\(463\) | 8.00291 | 0.371927 | 0.185963 | − | 0.982557i | \(-0.440459\pi\) | ||||
0.185963 | + | 0.982557i | \(0.440459\pi\) | |||||||
\(464\) | 20.2834 | + | 11.7107i | 0.941635 | + | 0.543653i | ||||
\(465\) | 2.33029 | − | 3.82152i | 0.108065 | − | 0.177219i | ||||
\(466\) | −13.9363 | − | 24.1384i | −0.645586 | − | 1.11819i | ||||
\(467\) | 4.62673 | − | 8.01373i | 0.214099 | − | 0.370831i | −0.738894 | − | 0.673821i | \(-0.764652\pi\) |
0.952994 | + | 0.302990i | \(0.0979850\pi\) | |||||||
\(468\) | 10.3322 | + | 6.64538i | 0.477604 | + | 0.307183i | ||||
\(469\) | 3.59893 | + | 4.75148i | 0.166183 | + | 0.219403i | ||||
\(470\) | − | 36.0290i | − | 1.66189i | ||||||
\(471\) | −17.1604 | − | 0.411614i | −0.790709 | − | 0.0189662i | ||||
\(472\) | −1.77692 | + | 1.02591i | −0.0817896 | + | 0.0472212i | ||||
\(473\) | 22.0653 | − | 12.7394i | 1.01456 | − | 0.585758i | ||||
\(474\) | 23.6276 | + | 0.566738i | 1.08525 | + | 0.0260312i | ||||
\(475\) | 24.7158i | 1.13404i | ||||||||
\(476\) | −24.0360 | + | 57.0163i | −1.10169 | + | 2.61334i | ||||
\(477\) | 15.0858 | + | 9.70283i | 0.690733 | + | 0.444262i | ||||
\(478\) | −4.75437 | + | 8.23481i | −0.217460 | + | 0.376651i | ||||
\(479\) | 5.21763 | + | 9.03721i | 0.238400 | + | 0.412921i | 0.960255 | − | 0.279123i | \(-0.0900438\pi\) |
−0.721855 | + | 0.692044i | \(0.756710\pi\) | |||||||
\(480\) | 3.42726 | − | 5.62047i | 0.156432 | − | 0.256538i | ||||
\(481\) | −2.22471 | − | 1.28443i | −0.101438 | − | 0.0585652i | ||||
\(482\) | −64.9469 | −2.95825 | ||||||||
\(483\) | −2.05661 | − | 2.85498i | −0.0935791 | − | 0.129906i | ||||
\(484\) | −10.8185 | −0.491748 | ||||||||
\(485\) | 7.13712 | + | 4.12062i | 0.324080 | + | 0.187108i | ||||
\(486\) | 38.2082 | + | 4.60357i | 1.73316 | + | 0.208822i | ||||
\(487\) | 2.22014 | + | 3.84539i | 0.100604 | + | 0.174251i | 0.911934 | − | 0.410338i | \(-0.134589\pi\) |
−0.811330 | + | 0.584589i | \(0.801256\pi\) | |||||||
\(488\) | 10.2123 | − | 17.6883i | 0.462291 | − | 0.800712i | ||||
\(489\) | 10.7416 | − | 5.86282i | 0.485752 | − | 0.265126i | ||||
\(490\) | −49.0071 | + | 47.7957i | −2.21392 | + | 2.15919i | ||||
\(491\) | − | 39.9336i | − | 1.80218i | −0.433635 | − | 0.901089i | \(-0.642769\pi\) | ||
0.433635 | − | 0.901089i | \(-0.357231\pi\) | |||||||
\(492\) | −0.415650 | + | 17.3286i | −0.0187389 | + | 0.781236i | ||||
\(493\) | 25.3016 | − | 14.6079i | 1.13953 | − | 0.657906i | ||||
\(494\) | 4.94278 | − | 2.85371i | 0.222386 | − | 0.128395i | ||||
\(495\) | −30.5423 | + | 15.7316i | −1.37278 | + | 0.707083i | ||||
\(496\) | 2.98690i | 0.134116i | ||||||||
\(497\) | 1.85358 | + | 14.7940i | 0.0831444 | + | 0.663604i | ||||
\(498\) | 34.3432 | + | 62.9220i | 1.53895 | + | 2.81960i | ||||
\(499\) | −14.8449 | + | 25.7122i | −0.664551 | + | 1.15104i | 0.314856 | + | 0.949139i | \(0.398044\pi\) |
−0.979407 | + | 0.201896i | \(0.935290\pi\) | |||||||
\(500\) | −46.1559 | − | 79.9443i | −2.06415 | − | 3.57522i | ||||
\(501\) | 34.8752 | + | 21.2662i | 1.55811 | + | 0.950105i | ||||
\(502\) | −17.2927 | − | 9.98392i | −0.771809 | − | 0.445604i | ||||
\(503\) | 26.1034 | 1.16389 | 0.581947 | − | 0.813227i | \(-0.302291\pi\) | ||||
0.581947 | + | 0.813227i | \(0.302291\pi\) | |||||||
\(504\) | 33.8740 | − | 23.1883i | 1.50887 | − | 1.03289i | ||||
\(505\) | −59.6813 | −2.65578 | ||||||||
\(506\) | −4.74600 | − | 2.74011i | −0.210986 | − | 0.121813i | ||||
\(507\) | −1.47880 | − | 0.901745i | −0.0656759 | − | 0.0400479i | ||||
\(508\) | −33.8313 | − | 58.5975i | −1.50102 | − | 2.59984i | ||||
\(509\) | 14.1788 | − | 24.5584i | 0.628464 | − | 1.08853i | −0.359397 | − | 0.933185i | \(-0.617017\pi\) |
0.987860 | − | 0.155346i | \(-0.0496492\pi\) | |||||||
\(510\) | −46.3460 | − | 84.9130i | −2.05223 | − | 3.76001i | ||||
\(511\) | −31.8825 | + | 24.1489i | −1.41040 | + | 1.06828i | ||||
\(512\) | − | 42.9656i | − | 1.89883i | ||||||
\(513\) | 6.73860 | − | 9.94459i | 0.297516 | − | 0.439064i | ||||
\(514\) | 46.1460 | − | 26.6424i | 2.03541 | − | 1.17515i | ||||
\(515\) | 36.2719 | − | 20.9416i | 1.59833 | − | 0.922796i | ||||
\(516\) | 1.49889 | − | 62.4893i | 0.0659848 | − | 2.75094i | ||||
\(517\) | − | 10.6511i | − | 0.468437i | ||||||
\(518\) | −13.3756 | + | 10.1311i | −0.587690 | + | 0.445136i | ||||
\(519\) | 5.34657 | − | 2.91819i | 0.234688 | − | 0.128094i | ||||
\(520\) | −10.2434 | + | 17.7421i | −0.449203 | + | 0.778042i | ||||
\(521\) | 0.418091 | + | 0.724155i | 0.0183169 | + | 0.0317258i | 0.875039 | − | 0.484053i | \(-0.160836\pi\) |
−0.856722 | + | 0.515779i | \(0.827503\pi\) | |||||||
\(522\) | −37.8439 | − | 1.81652i | −1.65638 | − | 0.0795067i | ||||
\(523\) | 23.3076 | + | 13.4567i | 1.01917 | + | 0.588419i | 0.913864 | − | 0.406020i | \(-0.133084\pi\) |
0.105308 | + | 0.994440i | \(0.466417\pi\) | |||||||
\(524\) | −49.0281 | −2.14180 | ||||||||
\(525\) | −4.92329 | − | 48.7443i | −0.214870 | − | 2.12737i | ||||
\(526\) | 12.8346 | 0.559617 | ||||||||
\(527\) | 3.22669 | + | 1.86293i | 0.140557 | + | 0.0811506i | ||||
\(528\) | 11.9359 | − | 19.5741i | 0.519445 | − | 0.851855i | ||||
\(529\) | −11.2052 | − | 19.4080i | −0.487184 | − | 0.843827i | ||||
\(530\) | −29.2349 | + | 50.6363i | −1.26988 | + | 2.19950i | ||||
\(531\) | 0.643821 | − | 1.00100i | 0.0279395 | − | 0.0434399i | ||||
\(532\) | −3.11381 | − | 24.8524i | −0.135001 | − | 1.07749i | ||||
\(533\) | − | 2.44391i | − | 0.105857i | ||||||
\(534\) | −30.7185 | − | 0.736822i | −1.32932 | − | 0.0318854i | ||||
\(535\) | −4.94361 | + | 2.85419i | −0.213731 | + | 0.123397i | ||||
\(536\) | 10.0907 | − | 5.82587i | 0.435852 | − | 0.251639i | ||||
\(537\) | 39.6897 | + | 0.952009i | 1.71274 | + | 0.0410822i | ||||
\(538\) | 28.9135i | 1.24655i | ||||||||
\(539\) | −14.4878 | + | 14.1297i | −0.624035 | + | 0.608609i | ||||
\(540\) | −6.05867 | + | 84.0672i | −0.260724 | + | 3.61767i | ||||
\(541\) | 20.6285 | − | 35.7296i | 0.886888 | − | 1.53614i | 0.0433537 | − | 0.999060i | \(-0.486196\pi\) |
0.843534 | − | 0.537075i | \(-0.180471\pi\) | |||||||
\(542\) | 10.7107 | + | 18.5515i | 0.460065 | + | 0.796857i | ||||
\(543\) | 7.32801 | − | 12.0174i | 0.314475 | − | 0.515718i | ||||
\(544\) | 4.74563 | + | 2.73989i | 0.203467 | + | 0.117472i | ||||
\(545\) | 0.0110658 | 0.000474005 | ||||||||
\(546\) | −9.17965 | + | 6.61265i | −0.392853 | + | 0.282995i | ||||
\(547\) | 31.7099 | 1.35582 | 0.677909 | − | 0.735146i | \(-0.262887\pi\) | ||||
0.677909 | + | 0.735146i | \(0.262887\pi\) | |||||||
\(548\) | 24.4105 | + | 14.0934i | 1.04276 | + | 0.602040i | ||||
\(549\) | −0.568030 | + | 11.8339i | −0.0242429 | + | 0.505059i | ||||
\(550\) | −38.1526 | − | 66.0823i | −1.62683 | − | 2.81776i | ||||
\(551\) | −5.91314 | + | 10.2419i | −0.251908 | + | 0.436318i | ||||
\(552\) | −6.03739 | + | 3.29524i | −0.256968 | + | 0.140255i | ||||
\(553\) | −5.68057 | + | 13.4750i | −0.241562 | + | 0.573016i | ||||
\(554\) | − | 52.6290i | − | 2.23599i | ||||||
\(555\) | 0.422635 | − | 17.6199i | 0.0179399 | − | 0.747922i | ||||
\(556\) | −42.5569 | + | 24.5702i | −1.80481 | + | 1.04201i | ||||
\(557\) | −3.74179 | + | 2.16032i | −0.158545 | + | 0.0915357i | −0.577173 | − | 0.816622i | \(-0.695844\pi\) |
0.418629 | + | 0.908158i | \(0.362511\pi\) | |||||||
\(558\) | −2.21248 | − | 4.29545i | −0.0936619 | − | 0.181841i | ||||
\(559\) | 8.81304i | 0.372752i | ||||||||
\(560\) | 28.9719 | + | 38.2501i | 1.22429 | + | 1.61636i | ||||
\(561\) | −13.7011 | − | 25.1026i | −0.578462 | − | 1.05983i | ||||
\(562\) | −24.8407 | + | 43.0254i | −1.04784 | + | 1.81492i | ||||
\(563\) | −12.2235 | − | 21.1717i | −0.515159 | − | 0.892281i | −0.999845 | − | 0.0175930i | \(-0.994400\pi\) |
0.484687 | − | 0.874688i | \(-0.338934\pi\) | |||||||
\(564\) | −22.3099 | − | 13.6042i | −0.939416 | − | 0.572838i | ||||
\(565\) | 52.4623 | + | 30.2891i | 2.20711 | + | 1.27427i | ||||
\(566\) | 23.1758 | 0.974149 | ||||||||
\(567\) | −11.3089 | + | 20.9549i | −0.474929 | + | 0.880024i | ||||
\(568\) | 29.1453 | 1.22291 | ||||||||
\(569\) | 30.6755 | + | 17.7105i | 1.28599 | + | 0.742464i | 0.977936 | − | 0.208906i | \(-0.0669903\pi\) |
0.308050 | + | 0.951370i | \(0.400324\pi\) | |||||||
\(570\) | 33.4330 | + | 20.3868i | 1.40035 | + | 0.853910i | ||||
\(571\) | −16.1979 | − | 28.0555i | −0.677860 | − | 1.17409i | −0.975624 | − | 0.219448i | \(-0.929574\pi\) |
0.297764 | − | 0.954639i | \(-0.403759\pi\) | |||||||
\(572\) | −5.91926 | + | 10.2525i | −0.247497 | + | 0.428677i | ||||
\(573\) | −3.57748 | − | 6.55449i | −0.149451 | − | 0.273818i | ||||
\(574\) | −14.7095 | − | 6.20097i | −0.613961 | − | 0.258824i | ||||
\(575\) | 8.20878i | 0.342330i | ||||||||
\(576\) | 9.32498 | + | 18.1041i | 0.388541 | + | 0.754337i | ||||
\(577\) | 3.93070 | − | 2.26939i | 0.163637 | − | 0.0944761i | −0.415945 | − | 0.909390i | \(-0.636549\pi\) |
0.579582 | + | 0.814914i | \(0.303216\pi\) | |||||||
\(578\) | 33.3909 | − | 19.2783i | 1.38888 | − | 0.801870i | ||||
\(579\) | 0.298220 | − | 12.4329i | 0.0123936 | − | 0.516695i | ||||
\(580\) | − | 82.9775i | − | 3.44546i | ||||||
\(581\) | −44.0095 | + | 5.51404i | −1.82582 | + | 0.228761i | ||||
\(582\) | 7.80891 | − | 4.26214i | 0.323690 | − | 0.176672i | ||||
\(583\) | −8.64263 | + | 14.9695i | −0.357941 | + | 0.619972i | ||||
\(584\) | 39.0916 | + | 67.7087i | 1.61762 | + | 2.80181i | ||||
\(585\) | 0.569757 | − | 11.8699i | 0.0235565 | − | 0.490759i | ||||
\(586\) | 69.8792 | + | 40.3448i | 2.88668 | + | 1.66663i | ||||
\(587\) | 0.263237 | 0.0108649 | 0.00543247 | − | 0.999985i | \(-0.498271\pi\) | ||||
0.00543247 | + | 0.999985i | \(0.498271\pi\) | |||||||
\(588\) | 11.0915 | + | 48.3933i | 0.457406 | + | 1.99571i | ||||
\(589\) | −1.50820 | −0.0621441 | ||||||||
\(590\) | 3.35992 | + | 1.93985i | 0.138326 | + | 0.0798624i | ||||
\(591\) | −19.0507 | + | 31.2419i | −0.783641 | + | 1.28512i | ||||
\(592\) | 5.88074 | + | 10.1857i | 0.241697 | + | 0.418631i | ||||
\(593\) | −11.2238 | + | 19.4402i | −0.460906 | + | 0.798312i | −0.999006 | − | 0.0445685i | \(-0.985809\pi\) |
0.538101 | + | 0.842881i | \(0.319142\pi\) | |||||||
\(594\) | −2.66591 | + | 36.9908i | −0.109383 | + | 1.51775i | ||||
\(595\) | 59.3906 | − | 7.44118i | 2.43478 | − | 0.305059i | ||||
\(596\) | − | 8.85828i | − | 0.362849i | ||||||
\(597\) | 24.4145 | + | 0.585614i | 0.999221 | + | 0.0239676i | ||||
\(598\) | 1.64163 | − | 0.947795i | 0.0671312 | − | 0.0387582i | ||||
\(599\) | 33.9415 | − | 19.5961i | 1.38681 | − | 0.800677i | 0.393858 | − | 0.919171i | \(-0.371140\pi\) |
0.992955 | + | 0.118495i | \(0.0378069\pi\) | |||||||
\(600\) | −95.7420 | − | 2.29649i | −3.90865 | − | 0.0937540i | ||||
\(601\) | 14.6645i | 0.598179i | 0.954225 | + | 0.299090i | \(0.0966830\pi\) | ||||
−0.954225 | + | 0.299090i | \(0.903317\pi\) | |||||||
\(602\) | 53.0442 | + | 22.3615i | 2.16192 | + | 0.911386i | ||||
\(603\) | −3.65610 | + | 5.68445i | −0.148888 | + | 0.231489i | ||||
\(604\) | 3.42927 | − | 5.93966i | 0.139535 | − | 0.241682i | ||||
\(605\) | 5.23259 | + | 9.06311i | 0.212735 | + | 0.368468i | ||||
\(606\) | −33.5413 | + | 55.0055i | −1.36252 | + | 2.23445i | ||||
\(607\) | 6.39458 | + | 3.69191i | 0.259548 | + | 0.149850i | 0.624128 | − | 0.781322i | \(-0.285454\pi\) |
−0.364580 | + | 0.931172i | \(0.618788\pi\) | |||||||
\(608\) | −2.21817 | −0.0899585 | ||||||||
\(609\) | 9.62170 | − | 21.3768i | 0.389891 | − | 0.866230i | ||||
\(610\) | −38.6203 | −1.56369 | ||||||||
\(611\) | 3.19061 | + | 1.84210i | 0.129078 | + | 0.0745234i | ||||
\(612\) | −70.0796 | − | 3.36383i | −2.83280 | − | 0.135975i | ||||
\(613\) | 13.3046 | + | 23.0442i | 0.537367 | + | 0.930747i | 0.999045 | + | 0.0436992i | \(0.0139143\pi\) |
−0.461678 | + | 0.887048i | \(0.652752\pi\) | |||||||
\(614\) | 4.40710 | − | 7.63332i | 0.177856 | − | 0.308056i | ||||
\(615\) | 14.7180 | − | 8.03317i | 0.593488 | − | 0.323929i | ||||
\(616\) | 23.8855 | + | 31.5347i | 0.962373 | + | 1.27057i | ||||
\(617\) | 27.0313i | 1.08824i | 0.839008 | + | 0.544119i | \(0.183136\pi\) | ||||
−0.839008 | + | 0.544119i | \(0.816864\pi\) | |||||||
\(618\) | 1.08417 | − | 45.1995i | 0.0436116 | − | 1.81819i | ||||
\(619\) | −1.55648 | + | 0.898634i | −0.0625602 | + | 0.0361191i | −0.530954 | − | 0.847401i | \(-0.678166\pi\) |
0.468394 | + | 0.883520i | \(0.344833\pi\) | |||||||
\(620\) | 9.16434 | − | 5.29103i | 0.368049 | − | 0.212493i | ||||
\(621\) | 2.23807 | − | 3.30287i | 0.0898107 | − | 0.132539i | ||||
\(622\) | 44.6119i | 1.78877i | ||||||||
\(623\) | 7.38536 | − | 17.5190i | 0.295888 | − | 0.701883i | ||||
\(624\) | 3.79924 | + | 6.96080i | 0.152091 | + | 0.278655i | ||||
\(625\) | −17.9211 | + | 31.0403i | −0.716845 | + | 1.24161i | ||||
\(626\) | 5.51534 | + | 9.55285i | 0.220437 | + | 0.381809i | ||||
\(627\) | 9.88370 | + | 6.02689i | 0.394717 | + | 0.240691i | ||||
\(628\) | −35.1452 | − | 20.2911i | −1.40245 | − | 0.809703i | ||||
\(629\) | 14.6713 | 0.584982 | ||||||||
\(630\) | −69.9972 | − | 33.5470i | −2.78876 | − | 1.33654i | ||||
\(631\) | −27.9714 | −1.11352 | −0.556761 | − | 0.830673i | \(-0.687956\pi\) | ||||
−0.556761 | + | 0.830673i | \(0.687956\pi\) | |||||||
\(632\) | 24.7560 | + | 14.2929i | 0.984739 | + | 0.568540i | ||||
\(633\) | 16.2540 | + | 9.91138i | 0.646039 | + | 0.393942i | ||||
\(634\) | 10.8148 | + | 18.7317i | 0.429509 | + | 0.743931i | ||||
\(635\) | −32.7265 | + | 56.6839i | −1.29871 | + | 2.24943i | ||||
\(636\) | 20.3163 | + | 37.2226i | 0.805594 | + | 1.47597i | ||||
\(637\) | −1.72698 | − | 6.78362i | −0.0684255 | − | 0.268777i | ||||
\(638\) | − | 36.5113i | − | 1.44550i | ||||||
\(639\) | −15.0295 | + | 7.74133i | −0.594557 | + | 0.306242i | ||||
\(640\) | −64.0730 | + | 36.9925i | −2.53271 | + | 1.46226i | ||||
\(641\) | 2.17160 | − | 1.25377i | 0.0857728 | − | 0.0495210i | −0.456500 | − | 0.889723i | \(-0.650897\pi\) |
0.542273 | + | 0.840202i | \(0.317564\pi\) | |||||||
\(642\) | −0.147765 | + | 6.16038i | −0.00583180 | + | 0.243131i | ||||
\(643\) | − | 32.6695i | − | 1.28836i | −0.764873 | − | 0.644181i | \(-0.777199\pi\) | ||
0.764873 | − | 0.644181i | \(-0.222801\pi\) | |||||||
\(644\) | −1.03418 | − | 8.25414i | −0.0407524 | − | 0.325259i | ||||
\(645\) | −53.0750 | + | 28.9686i | −2.08983 | + | 1.14064i | ||||
\(646\) | −16.2981 | + | 28.2291i | −0.641239 | + | 1.11066i | ||||
\(647\) | −21.1463 | − | 36.6264i | −0.831345 | − | 1.43993i | −0.896972 | − | 0.442088i | \(-0.854238\pi\) |
0.0656262 | − | 0.997844i | \(-0.479096\pi\) | |||||||
\(648\) | 37.8964 | + | 27.0274i | 1.48871 | + | 1.06174i | ||||
\(649\) | 0.993283 | + | 0.573472i | 0.0389898 | + | 0.0225108i | ||||
\(650\) | 26.3938 | 1.03525 | ||||||||
\(651\) | 2.97445 | − | 0.300427i | 0.116578 | − | 0.0117746i | ||||
\(652\) | 28.9317 | 1.13305 | ||||||||
\(653\) | −8.24690 | − | 4.76135i | −0.322726 | − | 0.186326i | 0.329881 | − | 0.944023i | \(-0.392991\pi\) |
−0.652607 | + | 0.757696i | \(0.726325\pi\) | |||||||
\(654\) | 0.00621904 | − | 0.0101988i | 0.000243184 | − | 0.000398805i | ||||
\(655\) | 23.7135 | + | 41.0730i | 0.926563 | + | 1.60485i | ||||
\(656\) | −5.59467 | + | 9.69025i | −0.218435 | + | 0.378341i | ||||
\(657\) | −38.1427 | − | 24.5324i | −1.48809 | − | 0.957101i | ||||
\(658\) | 19.1829 | − | 14.5298i | 0.747827 | − | 0.566429i | ||||
\(659\) | − | 19.1756i | − | 0.746975i | −0.927635 | − | 0.373487i | \(-0.878162\pi\) | ||
0.927635 | − | 0.373487i | \(-0.121838\pi\) | |||||||
\(660\) | −81.2004 | − | 1.94770i | −3.16072 | − | 0.0758139i | ||||
\(661\) | 11.5986 | − | 6.69643i | 0.451132 | − | 0.260461i | −0.257176 | − | 0.966365i | \(-0.582792\pi\) |
0.708308 | + | 0.705903i | \(0.249459\pi\) | |||||||
\(662\) | 52.1089 | − | 30.0851i | 2.02527 | − | 1.16929i | ||||
\(663\) | 9.88921 | + | 0.237205i | 0.384065 | + | 0.00921229i | ||||
\(664\) | 86.7018i | 3.36468i | ||||||||
\(665\) | −19.3139 | + | 14.6290i | −0.748959 | + | 0.567287i | ||||
\(666\) | −16.0019 | − | 10.2920i | −0.620062 | − | 0.398808i | ||||
\(667\) | −1.96391 | + | 3.40160i | −0.0760430 | + | 0.131710i | ||||
\(668\) | 48.2859 | + | 83.6337i | 1.86824 | + | 3.23588i | ||||
\(669\) | −2.62825 | + | 4.31016i | −0.101614 | + | 0.166640i | ||||
\(670\) | −19.0801 | − | 11.0159i | −0.737130 | − | 0.425582i | ||||
\(671\) | −11.4172 | −0.440756 | ||||||||
\(672\) | 4.37465 | − | 0.441850i | 0.168756 | − | 0.0170447i | ||||
\(673\) | 11.3133 | 0.436097 | 0.218049 | − | 0.975938i | \(-0.430031\pi\) | ||||
0.218049 | + | 0.975938i | \(0.430031\pi\) | |||||||
\(674\) | −70.3457 | − | 40.6141i | −2.70962 | − | 1.56440i | ||||
\(675\) | 49.9816 | − | 24.2459i | 1.92379 | − | 0.933225i | ||||
\(676\) | −2.04745 | − | 3.54630i | −0.0787483 | − | 0.136396i | ||||
\(677\) | 8.59060 | − | 14.8794i | 0.330164 | − | 0.571860i | −0.652380 | − | 0.757892i | \(-0.726229\pi\) |
0.982544 | + | 0.186032i | \(0.0595627\pi\) | |||||||
\(678\) | 57.4004 | − | 31.3294i | 2.20445 | − | 1.20320i | ||||
\(679\) | 0.684318 | + | 5.46178i | 0.0262617 | + | 0.209604i | ||||
\(680\) | − | 117.004i | − | 4.48689i | ||||||
\(681\) | −0.196146 | + | 8.17742i | −0.00751633 | + | 0.313359i | ||||
\(682\) | 4.03244 | − | 2.32813i | 0.154410 | − | 0.0891488i | ||||
\(683\) | −4.25102 | + | 2.45433i | −0.162661 | + | 0.0939122i | −0.579121 | − | 0.815242i | \(-0.696604\pi\) |
0.416460 | + | 0.909154i | \(0.363271\pi\) | |||||||
\(684\) | 25.2479 | − | 13.0046i | 0.965377 | − | 0.497242i | ||||
\(685\) | − | 27.2663i | − | 1.04179i | ||||||
\(686\) | −45.2114 | − | 6.81781i | −1.72618 | − | 0.260305i | ||||
\(687\) | −10.4105 | − | 19.0736i | −0.397185 | − | 0.727705i | ||||
\(688\) | 20.1751 | − | 34.9443i | 0.769168 | − | 1.33224i | ||||
\(689\) | −2.98946 | − | 5.17790i | −0.113889 | − | 0.197262i | ||||
\(690\) | 11.1040 | + | 6.77101i | 0.422722 | + | 0.257768i | ||||
\(691\) | −18.3852 | − | 10.6147i | −0.699407 | − | 0.403803i | 0.107720 | − | 0.994181i | \(-0.465645\pi\) |
−0.807126 | + | 0.590379i | \(0.798978\pi\) | |||||||
\(692\) | 14.4006 | 0.547428 | ||||||||
\(693\) | −20.6931 | − | 9.91739i | −0.786065 | − | 0.376731i | ||||
\(694\) | 5.03127 | 0.190984 | ||||||||
\(695\) | 41.1671 | + | 23.7679i | 1.56156 | + | 0.901566i | ||||
\(696\) | −39.1246 | − | 23.8575i | −1.48301 | − | 0.904314i | ||||
\(697\) | 6.97880 | + | 12.0876i | 0.264341 | + | 0.457852i | ||||
\(698\) | −26.0139 | + | 45.0574i | −0.984640 | + | 1.70545i | ||||
\(699\) | 9.36852 | + | 17.1646i | 0.354350 | + | 0.649224i | ||||
\(700\) | 44.9939 | − | 106.731i | 1.70061 | − | 4.03406i | ||||
\(701\) | − | 26.2863i | − | 0.992821i | −0.868088 | − | 0.496410i | \(-0.834651\pi\) | ||
0.868088 | − | 0.496410i | \(-0.165349\pi\) | |||||||
\(702\) | −10.6197 | − | 7.19609i | −0.400816 | − | 0.271599i | ||||
\(703\) | −5.14315 | + | 2.96940i | −0.193978 | + | 0.111993i | ||||
\(704\) | −16.9956 | + | 9.81241i | −0.640545 | + | 0.369819i | ||||
\(705\) | −0.606132 | + | 25.2699i | −0.0228282 | + | 0.951721i | ||||
\(706\) | 50.8344i | 1.91318i | ||||||||
\(707\) | −24.0683 | − | 31.7761i | −0.905180 | − | 1.19506i | ||||
\(708\) | 2.46987 | − | 1.34807i | 0.0928232 | − | 0.0506634i | ||||
\(709\) | −7.96396 | + | 13.7940i | −0.299093 | + | 0.518044i | −0.975929 | − | 0.218090i | \(-0.930017\pi\) |
0.676836 | + | 0.736134i | \(0.263351\pi\) | |||||||
\(710\) | −27.5549 | − | 47.7265i | −1.03412 | − | 1.79114i | ||||
\(711\) | −16.5623 | − | 0.794995i | −0.621136 | − | 0.0298147i | ||||
\(712\) | −32.1855 | − | 18.5823i | −1.20620 | − | 0.696401i | ||||
\(713\) | −0.500913 | −0.0187593 | ||||||||
\(714\) | 26.5198 | − | 58.9197i | 0.992478 | − | 2.20501i | ||||
\(715\) | 11.4519 | 0.428277 | ||||||||
\(716\) | 81.2863 | + | 46.9306i | 3.03781 | + | 1.75388i | ||||
\(717\) | 3.47315 | − | 5.69573i | 0.129707 | − | 0.212711i | ||||
\(718\) | −17.2725 | − | 29.9169i | −0.644606 | − | 1.11649i | ||||
\(719\) | −20.6500 | + | 35.7669i | −0.770116 | + | 1.33388i | 0.167383 | + | 0.985892i | \(0.446468\pi\) |
−0.937499 | + | 0.347988i | \(0.886865\pi\) | |||||||
\(720\) | −29.4321 | + | 45.7606i | −1.09687 | + | 1.70540i | ||||
\(721\) | 25.7776 | + | 10.8669i | 0.960010 | + | 0.404705i | ||||
\(722\) | 33.7123i | 1.25464i | ||||||||
\(723\) | 45.5523 | + | 1.09263i | 1.69411 | + | 0.0406354i | ||||
\(724\) | 28.8189 | − | 16.6386i | 1.07105 | − | 0.618368i | ||||
\(725\) | −47.3630 | + | 27.3451i | −1.75902 | + | 1.01557i | ||||
\(726\) | 11.2938 | + | 0.270897i | 0.419153 | + | 0.0100539i | ||||
\(727\) | 2.07599i | 0.0769941i | 0.999259 | + | 0.0384970i | \(0.0122570\pi\) | ||||
−0.999259 | + | 0.0384970i | \(0.987743\pi\) | |||||||
\(728\) | −13.5774 | + | 1.70114i | −0.503211 | + | 0.0630484i | ||||
\(729\) | −26.7210 | − | 3.87164i | −0.989666 | − | 0.143394i | ||||
\(730\) | 73.9169 | − | 128.028i | 2.73579 | − | 4.73852i | ||||
\(731\) | −25.1664 | − | 43.5895i | −0.930814 | − | 1.61222i | ||||
\(732\) | −14.5826 | + | 23.9145i | −0.538988 | + | 0.883905i | ||||
\(733\) | −25.8237 | − | 14.9093i | −0.953821 | − | 0.550689i | −0.0595552 | − | 0.998225i | \(-0.518968\pi\) |
−0.894266 | + | 0.447536i | \(0.852302\pi\) | |||||||
\(734\) | −35.4830 | −1.30970 | ||||||||
\(735\) | 35.1766 | − | 32.6984i | 1.29751 | − | 1.20610i | ||||
\(736\) | −0.736713 | −0.0271556 | ||||||||
\(737\) | −5.64060 | − | 3.25660i | −0.207774 | − | 0.119959i | ||||
\(738\) | 0.867826 | − | 18.0796i | 0.0319451 | − | 0.665521i | ||||
\(739\) | 22.0127 | + | 38.1271i | 0.809750 | + | 1.40253i | 0.913037 | + | 0.407876i | \(0.133731\pi\) |
−0.103287 | + | 0.994652i | \(0.532936\pi\) | |||||||
\(740\) | 20.8344 | − | 36.0863i | 0.765889 | − | 1.32656i | ||||
\(741\) | −3.51476 | + | 1.91838i | −0.129118 | + | 0.0704733i | ||||
\(742\) | −38.7501 | + | 4.85509i | −1.42256 | + | 0.178236i | ||||
\(743\) | 11.3441i | 0.416174i | 0.978110 | + | 0.208087i | \(0.0667238\pi\) | ||||
−0.978110 | + | 0.208087i | \(0.933276\pi\) | |||||||
\(744\) | 0.140136 | − | 5.84232i | 0.00513762 | − | 0.214190i | ||||
\(745\) | −7.42097 | + | 4.28450i | −0.271883 | + | 0.156972i | ||||
\(746\) | −45.3783 | + | 26.1992i | −1.66142 | + | 0.959220i | ||||
\(747\) | −23.0290 | − | 44.7099i | −0.842586 | − | 1.63585i | ||||
\(748\) | − | 67.6119i | − | 2.47214i | ||||||
\(749\) | −3.51331 | − | 1.48108i | −0.128374 | − | 0.0541176i | ||||
\(750\) | 46.1821 | + | 84.6127i | 1.68633 | + | 3.08962i | ||||
\(751\) | −12.2744 | + | 21.2598i | −0.447897 | + | 0.775781i | −0.998249 | − | 0.0591518i | \(-0.981160\pi\) |
0.550351 | + | 0.834933i | \(0.314494\pi\) | |||||||
\(752\) | −8.43399 | − | 14.6081i | −0.307556 | − | 0.532703i | ||||
\(753\) | 11.9607 | + | 7.29343i | 0.435873 | + | 0.265787i | ||||
\(754\) | 10.9372 | + | 6.31459i | 0.398309 | + | 0.229964i | ||||
\(755\) | −6.63456 | −0.241456 | ||||||||
\(756\) | −47.2032 | + | 30.6768i | −1.71676 | + | 1.11570i | ||||
\(757\) | 29.9074 | 1.08700 | 0.543501 | − | 0.839408i | \(-0.317098\pi\) | ||||
0.543501 | + | 0.839408i | \(0.317098\pi\) | |||||||
\(758\) | −54.2499 | − | 31.3212i | −1.97045 | − | 1.13764i | ||||
\(759\) | 3.28264 | + | 2.00169i | 0.119152 | + | 0.0726569i | ||||
\(760\) | 23.6810 | + | 41.0168i | 0.859001 | + | 1.48783i | ||||
\(761\) | 1.63587 | − | 2.83341i | 0.0593003 | − | 0.102711i | −0.834851 | − | 0.550476i | \(-0.814446\pi\) |
0.894152 | + | 0.447764i | \(0.147780\pi\) | |||||||
\(762\) | 33.8505 | + | 62.0193i | 1.22627 | + | 2.24672i | ||||
\(763\) | 0.00446260 | + | 0.00589173i | 0.000161557 | + | 0.000213295i | ||||
\(764\) | − | 17.6540i | − | 0.638700i | ||||||
\(765\) | 31.0775 | + | 60.3358i | 1.12361 | + | 2.18145i | ||||
\(766\) | 29.4820 | − | 17.0214i | 1.06523 | − | 0.615009i | ||||
\(767\) | −0.343574 | + | 0.198362i | −0.0124057 | + | 0.00716245i | ||||
\(768\) | −1.35127 | + | 56.3351i | −0.0487598 | + | 2.03282i | ||||
\(769\) | 27.3989i | 0.988029i | 0.869454 | + | 0.494014i | \(0.164471\pi\) | ||||
−0.869454 | + | 0.494014i | \(0.835529\pi\) | |||||||
\(770\) | 29.0572 | − | 68.9272i | 1.04715 | − | 2.48396i | ||||
\(771\) | −32.8140 | + | 17.9100i | −1.18177 | + | 0.645015i | ||||
\(772\) | 14.7012 | − | 25.4632i | 0.529107 | − | 0.916441i | ||||
\(773\) | 18.4624 | + | 31.9778i | 0.664047 | + | 1.15016i | 0.979543 | + | 0.201236i | \(0.0644958\pi\) |
−0.315496 | + | 0.948927i | \(0.602171\pi\) | |||||||
\(774\) | −3.12949 | + | 65.1975i | −0.112487 | + | 2.34347i | ||||
\(775\) | −6.04017 | − | 3.48730i | −0.216969 | − | 0.125267i | ||||
\(776\) | 10.7601 | 0.386265 | ||||||||
\(777\) | 9.55179 | − | 6.88072i | 0.342668 | − | 0.246844i | ||||
\(778\) | 22.0227 | 0.789553 | ||||||||
\(779\) | −4.89296 | − | 2.82495i | −0.175309 | − | 0.101214i | ||||
\(780\) | 14.6269 | − | 23.9872i | 0.523728 | − | 0.858879i | ||||
\(781\) | −8.14598 | − | 14.1093i | −0.291486 | − | 0.504869i | ||||
\(782\) | −5.41303 | + | 9.37564i | −0.193570 | + | 0.335272i | ||||
\(783\) | 26.5123 | + | 1.91073i | 0.947474 | + | 0.0682839i | ||||
\(784\) | −8.68169 | + | 30.8510i | −0.310061 | + | 1.10182i | ||||
\(785\) | 39.2569i | 1.40114i | ||||||||
\(786\) | 51.1823 | + | 1.22767i | 1.82561 | + | 0.0437896i | ||||
\(787\) | 22.9389 | − | 13.2438i | 0.817682 | − | 0.472089i | −0.0319344 | − | 0.999490i | \(-0.510167\pi\) |
0.849617 | + | 0.527401i | \(0.176833\pi\) | |||||||
\(788\) | −74.9207 | + | 43.2555i | −2.66894 | + | 1.54091i | ||||
\(789\) | −9.00193 | − | 0.215923i | −0.320477 | − | 0.00768706i | ||||
\(790\) | − | 54.0517i | − | 1.92307i | ||||||
\(791\) | 5.03017 | + | 40.1475i | 0.178852 | + | 1.42748i | ||||
\(792\) | −24.2648 | + | 37.7267i | −0.862214 | + | 1.34056i | ||||
\(793\) | 1.97459 | − | 3.42009i | 0.0701197 | − | 0.121451i | ||||
\(794\) | 10.7700 | + | 18.6542i | 0.382213 | + | 0.662013i | ||||
\(795\) | 21.3566 | − | 35.0234i | 0.757440 | − | 1.24215i | ||||
\(796\) | 50.0020 | + | 28.8687i | 1.77228 | + | 1.02322i | ||||
\(797\) | 52.8352 | 1.87152 | 0.935759 | − | 0.352640i | \(-0.114716\pi\) | ||||
0.935759 | + | 0.352640i | \(0.114716\pi\) | |||||||
\(798\) | 2.62832 | + | 26.0223i | 0.0930414 | + | 0.921180i | ||||
\(799\) | −21.0411 | −0.744382 | ||||||||
\(800\) | −8.88353 | − | 5.12891i | −0.314080 | − | 0.181334i | ||||
\(801\) | 21.5329 | + | 1.03358i | 0.760826 | + | 0.0365198i | ||||
\(802\) | −12.1936 | − | 21.1199i | −0.430571 | − | 0.745771i | ||||
\(803\) | 21.8518 | − | 37.8485i | 0.771135 | − | 1.33564i | ||||
\(804\) | −14.0257 | + | 7.65532i | −0.494650 | + | 0.269982i | ||||
\(805\) | −6.41465 | + | 4.85867i | −0.226087 | + | 0.171246i | ||||
\(806\) | 1.61059i | 0.0567306i | ||||||||
\(807\) | 0.486425 | − | 20.2793i | 0.0171230 | − | 0.713865i | ||||
\(808\) | −67.4827 | + | 38.9611i | −2.37403 | + | 1.37065i | ||||
\(809\) | 44.5772 | − | 25.7367i | 1.56725 | − | 0.904853i | 0.570764 | − | 0.821114i | \(-0.306647\pi\) |
0.996488 | − | 0.0837395i | \(-0.0266864\pi\) | |||||||
\(810\) | 8.42994 | − | 87.6093i | 0.296198 | − | 3.07828i | ||||
\(811\) | − | 48.4922i | − | 1.70279i | −0.524524 | − | 0.851396i | \(-0.675757\pi\) | ||
0.524524 | − | 0.851396i | \(-0.324243\pi\) | |||||||
\(812\) | 44.1797 | − | 33.4632i | 1.55040 | − | 1.17433i | ||||
\(813\) | −7.20017 | − | 13.1918i | −0.252521 | − | 0.462658i | ||||
\(814\) | 9.16745 | − | 15.8785i | 0.321319 | − | 0.556541i | ||||
\(815\) | −13.9934 | − | 24.2374i | −0.490169 | − | 0.848998i | ||||
\(816\) | −38.6684 | − | 23.5792i | −1.35366 | − | 0.825438i | ||||
\(817\) | 17.6446 | + | 10.1871i | 0.617308 | + | 0.356403i | ||||
\(818\) | 22.9609 | 0.802811 | ||||||||
\(819\) | 6.54965 | − | 4.48353i | 0.228863 | − | 0.156667i | ||||
\(820\) | 39.6419 | 1.38435 | ||||||||
\(821\) | 27.8211 | + | 16.0625i | 0.970965 | + | 0.560587i | 0.899530 | − | 0.436859i | \(-0.143909\pi\) |
0.0714345 | + | 0.997445i | \(0.477242\pi\) | |||||||
\(822\) | −25.1302 | − | 15.3239i | −0.876515 | − | 0.534482i | ||||
\(823\) | −19.9576 | − | 34.5675i | −0.695677 | − | 1.20495i | −0.969952 | − | 0.243297i | \(-0.921771\pi\) |
0.274274 | − | 0.961651i | \(-0.411562\pi\) | |||||||
\(824\) | 27.3422 | − | 47.3581i | 0.952510 | − | 1.64980i | ||||
\(825\) | 25.6477 | + | 46.9905i | 0.892937 | + | 1.63600i | ||||
\(826\) | 0.322154 | + | 2.57122i | 0.0112092 | + | 0.0894643i | ||||
\(827\) | − | 16.5512i | − | 0.575542i | −0.957699 | − | 0.287771i | \(-0.907086\pi\) | ||
0.957699 | − | 0.287771i | \(-0.0929141\pi\) | |||||||
\(828\) | 8.38550 | − | 4.31917i | 0.291416 | − | 0.150102i | ||||
\(829\) | −33.0222 | + | 19.0654i | −1.14691 | + | 0.662169i | −0.948132 | − | 0.317876i | \(-0.897031\pi\) |
−0.198778 | + | 0.980045i | \(0.563697\pi\) | |||||||
\(830\) | 141.977 | − | 81.9706i | 4.92810 | − | 2.84524i | ||||
\(831\) | −0.885402 | + | 36.9128i | −0.0307142 | + | 1.28049i | ||||
\(832\) | − | 6.78817i | − | 0.235337i | ||||||
\(833\) | 27.9129 | + | 28.6204i | 0.967126 | + | 0.991639i | ||||
\(834\) | 45.0420 | − | 24.5842i | 1.55968 | − | 0.851281i | ||||
\(835\) | 46.7091 | − | 80.9025i | 1.61643 | − | 2.79975i | ||||
\(836\) | 13.6843 | + | 23.7020i | 0.473283 | + | 0.819750i | ||||
\(837\) | 1.47952 | + | 3.04996i | 0.0511398 | + | 0.105422i | ||||
\(838\) | −19.5164 | − | 11.2678i | −0.674184 | − | 0.389240i | ||||
\(839\) | −7.35166 | −0.253807 | −0.126904 | − | 0.991915i | \(-0.540504\pi\) | ||||
−0.126904 | + | 0.991915i | \(0.540504\pi\) | |||||||
\(840\) | −54.8739 | − | 76.1757i | −1.89333 | − | 2.62831i | ||||
\(841\) | 2.83129 | 0.0976306 | ||||||||
\(842\) | −29.7935 | − | 17.2013i | −1.02675 | − | 0.592795i | ||||
\(843\) | 18.1466 | − | 29.7592i | 0.625002 | − | 1.02496i | ||||
\(844\) | 22.5043 | + | 38.9785i | 0.774628 | + | 1.34170i | ||||
\(845\) | −1.98059 | + | 3.43049i | −0.0681345 | + | 0.118012i | ||||
\(846\) | 22.9495 | + | 14.7605i | 0.789021 | + | 0.507478i | ||||
\(847\) | −2.71527 | + | 6.44095i | −0.0932978 | + | 0.221314i | ||||
\(848\) | 27.3743i | 0.940037i | ||||||||
\(849\) | −16.2550 | − | 0.389896i | −0.557869 | − | 0.0133812i | ||||
\(850\) | −130.544 | + | 75.3698i | −4.47763 | + | 2.58516i | ||||
\(851\) | −1.70818 | + | 0.986218i | −0.0585556 | + | 0.0338071i | ||||
\(852\) | −39.9577 | − | 0.958436i | −1.36893 | − | 0.0328355i | ||||
\(853\) | 40.6846i | 1.39302i | 0.717549 | + | 0.696508i | \(0.245264\pi\) | ||||
−0.717549 | + | 0.696508i | \(0.754736\pi\) | |||||||
\(854\) | −15.5748 | − | 20.5626i | −0.532958 | − | 0.703637i | ||||
\(855\) | −23.1062 | − | 14.8613i | −0.790215 | − | 0.508246i | ||||
\(856\) | −3.72655 | + | 6.45457i | −0.127371 | + | 0.220613i | ||||
\(857\) | 1.09877 | + | 1.90312i | 0.0375331 | + | 0.0650093i | 0.884182 | − | 0.467143i | \(-0.154717\pi\) |
−0.846649 | + | 0.532152i | \(0.821383\pi\) | |||||||
\(858\) | 6.43607 | − | 10.5547i | 0.219724 | − | 0.360332i | ||||
\(859\) | 30.9057 | + | 17.8434i | 1.05449 | + | 0.608810i | 0.923903 | − | 0.382627i | \(-0.124981\pi\) |
0.130587 | + | 0.991437i | \(0.458314\pi\) | |||||||
\(860\) | −142.954 | −4.87468 | ||||||||
\(861\) | 10.2126 | + | 4.59669i | 0.348044 | + | 0.156655i | ||||
\(862\) | 43.4315 | 1.47928 | ||||||||
\(863\) | −36.1842 | − | 20.8909i | −1.23172 | − | 0.711136i | −0.264335 | − | 0.964431i | \(-0.585152\pi\) |
−0.967389 | + | 0.253295i | \(0.918486\pi\) | |||||||
\(864\) | 2.17599 | + | 4.48570i | 0.0740288 | + | 0.152606i | ||||
\(865\) | −6.96515 | − | 12.0640i | −0.236822 | − | 0.410188i | ||||
\(866\) | −32.0066 | + | 55.4371i | −1.08763 | + | 1.88383i | ||||
\(867\) | −23.7440 | + | 12.9596i | −0.806388 | + | 0.440131i | ||||
\(868\) | 6.51290 | + | 2.74560i | 0.221062 | + | 0.0931917i | ||||
\(869\) | − | 15.9791i | − | 0.542055i | ||||||
\(870\) | −2.07778 | + | 86.6235i | −0.0704432 | + | 2.93681i | ||||
\(871\) | 1.95107 | − | 1.12645i | 0.0661095 | − | 0.0381683i | ||||
\(872\) | 0.0125122 | − | 0.00722395i | 0.000423718 | − | 0.000244634i | ||||
\(873\) | −5.54870 | + | 2.85800i | −0.187795 | + | 0.0967287i | ||||
\(874\) | − | 4.38229i | − | 0.148233i | ||||||
\(875\) | −59.1806 | + | 7.41487i | −2.00067 | + | 0.250668i | ||||
\(876\) | −51.3673 | − | 94.1128i | −1.73554 | − | 3.17978i | ||||
\(877\) | 21.6945 | − | 37.5759i | 0.732570 | − | 1.26885i | −0.223211 | − | 0.974770i | \(-0.571654\pi\) |
0.955781 | − | 0.294078i | \(-0.0950126\pi\) | |||||||
\(878\) | 46.6410 | + | 80.7845i | 1.57406 | + | 2.72635i | ||||
\(879\) | −48.3330 | − | 29.4725i | −1.63023 | − | 0.994084i | ||||
\(880\) | −45.4076 | − | 26.2161i | −1.53069 | − | 0.883744i | ||||
\(881\) | −31.4021 | −1.05796 | −0.528981 | − | 0.848634i | \(-0.677426\pi\) | ||||
−0.528981 | + | 0.848634i | \(0.677426\pi\) | |||||||
\(882\) | −10.3671 | − | 50.7974i | −0.349078 | − | 1.71044i | ||||
\(883\) | −30.1316 | −1.01401 | −0.507004 | − | 0.861944i | \(-0.669247\pi\) | ||||
−0.507004 | + | 0.861944i | \(0.669247\pi\) | |||||||
\(884\) | 20.2535 | + | 11.6934i | 0.681200 | + | 0.393291i | ||||
\(885\) | −2.32394 | − | 1.41709i | −0.0781183 | − | 0.0476351i | ||||
\(886\) | 12.6935 | + | 21.9859i | 0.426448 | + | 0.738629i | ||||
\(887\) | −1.06996 | + | 1.85322i | −0.0359256 | + | 0.0622250i | −0.883429 | − | 0.468565i | \(-0.844771\pi\) |
0.847504 | + | 0.530790i | \(0.178105\pi\) | |||||||
\(888\) | −11.0247 | − | 20.1990i | −0.369966 | − | 0.677835i | ||||
\(889\) | −43.3781 | + | 5.43494i | −1.45486 | + | 0.182282i | ||||
\(890\) | 70.2731i | 2.35556i | ||||||||
\(891\) | 2.49212 | − | 25.8997i | 0.0834891 | − | 0.867672i | ||||
\(892\) | −10.3361 | + | 5.96757i | −0.346079 | + | 0.199809i | ||||
\(893\) | 7.37616 | − | 4.25863i | 0.246834 | − | 0.142510i | ||||
\(894\) | −0.221813 | + | 9.24750i | −0.00741854 | + | 0.309283i | ||||
\(895\) | − | 90.7961i | − | 3.03498i | ||||||
\(896\) | −45.5353 | − | 19.1960i | −1.52123 | − | 0.641293i | ||||
\(897\) | −1.16735 | + | 0.637145i | −0.0389766 | + | 0.0212736i | ||||
\(898\) | −2.83170 | + | 4.90464i | −0.0944949 | + | 0.163670i | ||||
\(899\) | −1.66864 | − | 2.89017i | −0.0556522 | − | 0.0963925i | ||||
\(900\) | 131.185 | + | 6.29689i | 4.37283 | + | 0.209896i | ||||
\(901\) | 29.5719 | + | 17.0734i | 0.985183 | + | 0.568796i | ||||
\(902\) | 17.4430 | 0.580788 | ||||||||
\(903\) | −36.8278 | − | 16.5762i | −1.22555 | − | 0.551623i | ||||
\(904\) | 79.0935 | 2.63061 | ||||||||
\(905\) | −27.8778 | − | 16.0952i | −0.926688 | − | 0.535024i | ||||
\(906\) | −3.72868 | + | 6.11478i | −0.123877 | + | 0.203150i | ||||
\(907\) | −18.1879 | − | 31.5024i | −0.603919 | − | 1.04602i | −0.992221 | − | 0.124487i | \(-0.960272\pi\) |
0.388302 | − | 0.921532i | \(-0.373062\pi\) | |||||||
\(908\) | −9.66930 | + | 16.7477i | −0.320887 | + | 0.555792i | ||||
\(909\) | 24.4505 | − | 38.0154i | 0.810973 | − | 1.26089i | ||||
\(910\) | 15.6221 | + | 20.6251i | 0.517869 | + | 0.683715i | ||||
\(911\) | − | 25.2406i | − | 0.836258i | −0.908388 | − | 0.418129i | \(-0.862686\pi\) | ||
0.908388 | − | 0.418129i | \(-0.137314\pi\) | |||||||
\(912\) | 18.3279 | + | 0.439618i | 0.606897 | + | 0.0145572i | ||||
\(913\) | 41.9723 | − | 24.2327i | 1.38908 | − | 0.801987i | ||||
\(914\) | −21.4337 | + | 12.3748i | −0.708964 | + | 0.409321i | ||||
\(915\) | 27.0874 | + | 0.649726i | 0.895482 | + | 0.0214793i | ||||
\(916\) | − | 51.3734i | − | 1.69743i | ||||||
\(917\) | −12.3053 | + | 29.1897i | −0.406357 | + | 0.963928i | ||||
\(918\) | 73.0746 | + | 5.26645i | 2.41182 | + | 0.173819i | ||||
\(919\) | 27.9350 | − | 48.3849i | 0.921492 | − | 1.59607i | 0.124385 | − | 0.992234i | \(-0.460304\pi\) |
0.797108 | − | 0.603837i | \(-0.206362\pi\) | |||||||
\(920\) | 7.86511 | + | 13.6228i | 0.259305 | + | 0.449129i | ||||
\(921\) | −3.21946 | + | 5.27970i | −0.106085 | + | 0.173972i | ||||
\(922\) | 39.1859 | + | 22.6240i | 1.29052 | + | 0.745082i | ||||
\(923\) | 5.63534 | 0.185490 | ||||||||
\(924\) | −31.7095 | − | 44.0190i | −1.04317 | − | 1.44812i | ||||
\(925\) | −27.4637 | −0.903002 | ||||||||
\(926\) | −17.1105 | − | 9.87875i | −0.562286 | − | 0.324636i | ||||
\(927\) | −1.52082 | + | 31.6837i | −0.0499504 | + | 1.04063i | ||||
\(928\) | −2.45414 | − | 4.25069i | −0.0805610 | − | 0.139536i | ||||
\(929\) | −2.34155 | + | 4.05568i | −0.0768237 | + | 0.133063i | −0.901878 | − | 0.431991i | \(-0.857811\pi\) |
0.825054 | + | 0.565054i | \(0.191145\pi\) | |||||||
\(930\) | −9.69950 | + | 5.29404i | −0.318059 | + | 0.173598i | ||||
\(931\) | −15.5778 | − | 4.38370i | −0.510541 | − | 0.143670i | ||||
\(932\) | 46.2315i | 1.51436i | ||||||||
\(933\) | 0.750526 | − | 31.2898i | 0.0245711 | − | 1.02438i | ||||
\(934\) | −19.7842 | + | 11.4224i | −0.647358 | + | 0.373753i | ||||
\(935\) | −56.6415 | + | 32.7020i | −1.85237 | + | 1.06947i | ||||
\(936\) | −7.10467 | − | 13.7934i | −0.232223 | − | 0.450853i | ||||
\(937\) | − | 22.3239i | − | 0.729289i | −0.931147 | − | 0.364644i | \(-0.881191\pi\) | ||
0.931147 | − | 0.364644i | \(-0.118809\pi\) | |||||||
\(938\) | −1.82943 | − | 14.6013i | −0.0597331 | − | 0.476750i | ||||
\(939\) | −3.70763 | − | 6.79294i | −0.120994 | − | 0.221679i | ||||
\(940\) | −29.8801 | + | 51.7539i | −0.974583 | + | 1.68803i | ||||
\(941\) | 3.55894 | + | 6.16427i | 0.116018 | + | 0.200949i | 0.918186 | − | 0.396149i | \(-0.129654\pi\) |
−0.802168 | + | 0.597098i | \(0.796320\pi\) | |||||||
\(942\) | 36.1814 | + | 22.0627i | 1.17885 | + | 0.718842i | ||||
\(943\) | −1.62508 | − | 0.938243i | −0.0529200 | − | 0.0305534i | ||||
\(944\) | 1.81639 | 0.0591185 | ||||||||
\(945\) | 48.5301 | + | 24.7067i | 1.57869 | + | 0.803709i | ||||
\(946\) | −62.9017 | −2.04511 | ||||||||
\(947\) | 37.2355 | + | 21.4979i | 1.20999 | + | 0.698589i | 0.962757 | − | 0.270367i | \(-0.0871450\pi\) |
0.247234 | + | 0.968956i | \(0.420478\pi\) | |||||||
\(948\) | −33.4699 | − | 20.4093i | −1.08705 | − | 0.662864i | ||||
\(949\) | 7.55849 | + | 13.0917i | 0.245359 | + | 0.424974i | ||||
\(950\) | 30.5090 | − | 52.8431i | 0.989843 | − | 1.71446i | ||||
\(951\) | −7.27010 | − | 13.3199i | −0.235749 | − | 0.431929i | ||||
\(952\) | 62.2963 | − | 47.1853i | 2.01903 | − | 1.52928i | ||||
\(953\) | 1.14675i | 0.0371470i | 0.999827 | + | 0.0185735i | \(0.00591247\pi\) | ||||
−0.999827 | + | 0.0185735i | \(0.994088\pi\) | |||||||
\(954\) | −20.2769 | − | 39.3668i | −0.656489 | − | 1.27455i | ||||
\(955\) | −14.7896 | + | 8.53875i | −0.478579 | + | 0.276308i | ||||
\(956\) | 13.6589 | − | 7.88594i | 0.441759 | − | 0.255050i | ||||
\(957\) | −0.614247 | + | 25.6083i | −0.0198558 | + | 0.827797i | ||||
\(958\) | − | 25.7625i | − | 0.832347i | ||||||
\(959\) | 14.5174 | − | 10.9960i | 0.468791 | − | 0.355078i | ||||
\(960\) | 40.8806 | − | 22.3128i | 1.31942 | − | 0.720144i | ||||
\(961\) | −15.2872 | + | 26.4782i | −0.493135 | + | 0.854136i | ||||
\(962\) | 3.17100 | + | 5.49233i | 0.102237 | + | 0.177080i | ||||
\(963\) | 0.207278 | − | 4.31827i | 0.00667943 | − | 0.139154i | ||||
\(964\) | 93.2932 | + | 53.8628i | 3.00477 | + | 1.73481i | ||||
\(965\) | −28.4422 | −0.915587 | ||||||||
\(966\) | 0.872935 | + | 8.64271i | 0.0280862 | + | 0.278075i | ||||
\(967\) | 30.0072 | 0.964966 | 0.482483 | − | 0.875905i | \(-0.339735\pi\) | ||||
0.482483 | + | 0.875905i | \(0.339735\pi\) | |||||||
\(968\) | 11.8332 | + | 6.83188i | 0.380332 | + | 0.219585i | ||||
\(969\) | 11.9060 | − | 19.5251i | 0.382476 | − | 0.627236i | ||||
\(970\) | −10.1729 | − | 17.6200i | −0.326633 | − | 0.565745i | ||||
\(971\) | −16.4966 | + | 28.5730i | −0.529401 | + | 0.916950i | 0.470011 | + | 0.882661i | \(0.344250\pi\) |
−0.999412 | + | 0.0342891i | \(0.989083\pi\) | |||||||
\(972\) | −51.0664 | − | 38.3003i | −1.63796 | − | 1.22848i | ||||
\(973\) | 3.94717 | + | 31.5037i | 0.126540 | + | 1.00996i | ||||
\(974\) | − | 10.9621i | − | 0.351248i | ||||||
\(975\) | −18.5120 | − | 0.444034i | −0.592859 | − | 0.0142205i | ||||
\(976\) | −15.6588 | + | 9.04058i | −0.501224 | + | 0.289382i | ||||
\(977\) | −47.0991 | + | 27.1927i | −1.50683 | + | 0.869971i | −0.506866 | + | 0.862025i | \(0.669196\pi\) |
−0.999968 | + | 0.00794635i | \(0.997471\pi\) | |||||||
\(978\) | −30.2029 | − | 0.724456i | −0.965783 | − | 0.0231655i | ||||
\(979\) | 20.7746i | 0.663960i | ||||||||
\(980\) | 110.035 | − | 28.0128i | 3.51494 | − | 0.894837i | ||||
\(981\) | −0.00453348 | + | 0.00704859i | −0.000144743 | + | 0.000225044i | ||||
\(982\) | −49.2938 | + | 85.3793i | −1.57303 | + | 2.72456i | ||||
\(983\) | −1.50509 | − | 2.60690i | −0.0480050 | − | 0.0831471i | 0.841024 | − | 0.540997i | \(-0.181953\pi\) |
−0.889029 | + | 0.457850i | \(0.848620\pi\) | |||||||
\(984\) | 11.3977 | − | 18.6915i | 0.363346 | − | 0.595862i | ||||
\(985\) | 72.4740 | + | 41.8429i | 2.30922 | + | 1.33323i | ||||
\(986\) | −72.1275 | −2.29701 | ||||||||
\(987\) | −13.6989 | + | 9.86813i | −0.436041 | + | 0.314106i | ||||
\(988\) | −9.46675 | −0.301177 | ||||||||
\(989\) | 5.86026 | + | 3.38342i | 0.186345 | + | 0.107587i | ||||
\(990\) | 84.7195 | + | 4.06655i | 2.69256 | + | 0.129243i | ||||
\(991\) | 21.2125 | + | 36.7411i | 0.673836 | + | 1.16712i | 0.976808 | + | 0.214119i | \(0.0686881\pi\) |
−0.302971 | + | 0.953000i | \(0.597979\pi\) | |||||||
\(992\) | 0.312974 | − | 0.542087i | 0.00993694 | − | 0.0172113i | ||||
\(993\) | −37.0542 | + | 20.2244i | −1.17588 | + | 0.641801i | ||||
\(994\) | 14.2987 | − | 33.9182i | 0.453526 | − | 1.07582i | ||||
\(995\) | − | 55.8519i | − | 1.77062i | ||||||
\(996\) | 2.85117 | − | 118.867i | 0.0903426 | − | 3.76643i | ||||
\(997\) | −25.9633 | + | 14.9899i | −0.822267 | + | 0.474736i | −0.851197 | − | 0.524846i | \(-0.824123\pi\) |
0.0289308 | + | 0.999581i | \(0.490790\pi\) | |||||||
\(998\) | 63.4779 | − | 36.6490i | 2.00936 | − | 1.16010i | ||||
\(999\) | 11.0503 | + | 7.48781i | 0.349615 | + | 0.236904i |
(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 | 273.2.bh.a.131.3 | ✓ | 64 | |
3.2 | odd | 2 | inner | 273.2.bh.a.131.30 | yes | 64 | |
7.3 | odd | 6 | inner | 273.2.bh.a.248.30 | yes | 64 | |
21.17 | even | 6 | inner | 273.2.bh.a.248.3 | yes | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
273.2.bh.a.131.3 | ✓ | 64 | 1.1 | even | 1 | trivial | |
273.2.bh.a.131.30 | yes | 64 | 3.2 | odd | 2 | inner | |
273.2.bh.a.248.3 | yes | 64 | 21.17 | even | 6 | inner | |
273.2.bh.a.248.30 | yes | 64 | 7.3 | odd | 6 | inner |