Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [124,4,Mod(3,124)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(124, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([15, 1]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("124.3");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 124 = 2^{2} \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 124.p (of order \(30\), degree \(8\), 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: | \(7.31623684071\) |
Analytic rank: | \(0\) |
Dimension: | \(368\) |
Relative dimension: | \(46\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 3.6 | ||
Character | \(\chi\) | \(=\) | 124.3 |
Dual form | 124.4.p.a.83.6 |
$q$-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 \(\left(\mathbb{Z}/124\mathbb{Z}\right)^\times\).
\(n\) | \(63\) | \(65\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{30}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.62585 | + | 1.05116i | −0.928377 | + | 0.371640i | ||||
\(3\) | −0.804966 | + | 7.65874i | −0.154916 | + | 1.47393i | 0.590344 | + | 0.807152i | \(0.298992\pi\) |
−0.745260 | + | 0.666774i | \(0.767675\pi\) | |||||||
\(4\) | 5.79014 | − | 5.52035i | 0.723768 | − | 0.690044i | ||||
\(5\) | −9.96666 | + | 17.2628i | −0.891445 | + | 1.54403i | −0.0533018 | + | 0.998578i | \(0.516975\pi\) |
−0.838143 | + | 0.545450i | \(0.816359\pi\) | |||||||
\(6\) | −5.93681 | − | 20.9568i | −0.403949 | − | 1.42593i | ||||
\(7\) | 3.05831 | + | 14.3882i | 0.165133 | + | 0.776890i | 0.980277 | + | 0.197631i | \(0.0633247\pi\) |
−0.815144 | + | 0.579259i | \(0.803342\pi\) | |||||||
\(8\) | −9.40128 | + | 20.5819i | −0.415482 | + | 0.909602i | ||||
\(9\) | −31.5984 | − | 6.71644i | −1.17031 | − | 0.248757i | ||||
\(10\) | 8.02507 | − | 55.8059i | 0.253775 | − | 1.76474i | ||||
\(11\) | 7.09113 | + | 7.87550i | 0.194369 | + | 0.215868i | 0.832449 | − | 0.554101i | \(-0.186938\pi\) |
−0.638081 | + | 0.769970i | \(0.720271\pi\) | |||||||
\(12\) | 37.6181 | + | 48.7889i | 0.904950 | + | 1.17368i | ||||
\(13\) | 25.0832 | + | 56.3379i | 0.535141 | + | 1.20195i | 0.955609 | + | 0.294639i | \(0.0951995\pi\) |
−0.420467 | + | 0.907308i | \(0.638134\pi\) | |||||||
\(14\) | −23.1549 | − | 34.5664i | −0.442029 | − | 0.659876i | ||||
\(15\) | −124.188 | − | 90.2280i | −2.13768 | − | 1.55312i | ||||
\(16\) | 3.05150 | − | 63.9272i | 0.0476797 | − | 0.998863i | ||||
\(17\) | 58.5553 | + | 52.7234i | 0.835397 | + | 0.752195i | 0.971130 | − | 0.238551i | \(-0.0766723\pi\) |
−0.135733 | + | 0.990745i | \(0.543339\pi\) | |||||||
\(18\) | 90.0325 | − | 15.5785i | 1.17894 | − | 0.203993i | ||||
\(19\) | 48.3221 | − | 108.533i | 0.583466 | − | 1.31049i | −0.344838 | − | 0.938662i | \(-0.612066\pi\) |
0.928304 | − | 0.371823i | \(-0.121267\pi\) | |||||||
\(20\) | 37.5881 | + | 154.973i | 0.420248 | + | 1.73265i | ||||
\(21\) | −112.657 | + | 11.8408i | −1.17066 | + | 0.123041i | ||||
\(22\) | −26.8986 | − | 13.2260i | −0.260673 | − | 0.128172i | ||||
\(23\) | −33.8758 | − | 104.259i | −0.307113 | − | 0.945196i | −0.978880 | − | 0.204434i | \(-0.934465\pi\) |
0.671768 | − | 0.740762i | \(-0.265535\pi\) | |||||||
\(24\) | −150.064 | − | 88.5697i | −1.27632 | − | 0.753301i | ||||
\(25\) | −136.169 | − | 235.851i | −1.08935 | − | 1.88681i | ||||
\(26\) | −125.085 | − | 121.568i | −0.943504 | − | 0.916980i | ||||
\(27\) | 12.6227 | − | 38.8486i | 0.0899717 | − | 0.276904i | ||||
\(28\) | 97.1359 | + | 66.4268i | 0.655606 | + | 0.448339i | ||||
\(29\) | 45.8323 | + | 63.0828i | 0.293478 | + | 0.403937i | 0.930140 | − | 0.367206i | \(-0.119685\pi\) |
−0.636662 | + | 0.771143i | \(0.719685\pi\) | |||||||
\(30\) | 420.943 | + | 106.384i | 2.56178 | + | 0.647431i | ||||
\(31\) | 78.3887 | − | 153.773i | 0.454162 | − | 0.890919i | ||||
\(32\) | 59.1847 | + | 171.071i | 0.326952 | + | 0.945041i | ||||
\(33\) | −66.0245 | + | 47.9696i | −0.348285 | + | 0.253044i | ||||
\(34\) | −209.178 | − | 76.8929i | −1.05511 | − | 0.387854i | ||||
\(35\) | −278.861 | − | 90.6075i | −1.34675 | − | 0.437585i | ||||
\(36\) | −220.036 | + | 135.545i | −1.01869 | + | 0.627522i | ||||
\(37\) | −38.6658 | + | 22.3237i | −0.171800 | + | 0.0991890i | −0.583435 | − | 0.812160i | \(-0.698292\pi\) |
0.411634 | + | 0.911349i | \(0.364958\pi\) | |||||||
\(38\) | −12.8011 | + | 335.785i | −0.0546477 | + | 1.43346i | ||||
\(39\) | −451.668 | + | 146.756i | −1.85448 | + | 0.602558i | ||||
\(40\) | −261.602 | − | 367.425i | −1.03407 | − | 1.45238i | ||||
\(41\) | 16.9355 | + | 161.130i | 0.0645093 | + | 0.613765i | 0.978245 | + | 0.207455i | \(0.0665180\pi\) |
−0.913735 | + | 0.406310i | \(0.866815\pi\) | |||||||
\(42\) | 283.374 | − | 149.512i | 1.04109 | − | 0.549292i | ||||
\(43\) | 387.092 | + | 172.344i | 1.37281 | + | 0.611215i | 0.954806 | − | 0.297229i | \(-0.0960626\pi\) |
0.418006 | + | 0.908444i | \(0.362729\pi\) | |||||||
\(44\) | 84.5341 | + | 6.45474i | 0.289636 | + | 0.0221157i | ||||
\(45\) | 430.874 | − | 478.534i | 1.42735 | − | 1.58524i | ||||
\(46\) | 198.545 | + | 238.159i | 0.636389 | + | 0.763363i | ||||
\(47\) | −91.2944 | + | 125.656i | −0.283333 | + | 0.389974i | −0.926834 | − | 0.375471i | \(-0.877481\pi\) |
0.643501 | + | 0.765445i | \(0.277481\pi\) | |||||||
\(48\) | 487.146 | + | 74.8299i | 1.46486 | + | 0.225016i | ||||
\(49\) | 115.679 | − | 51.5037i | 0.337257 | − | 0.150156i | ||||
\(50\) | 605.474 | + | 476.174i | 1.71254 | + | 1.34682i | ||||
\(51\) | −450.930 | + | 406.019i | −1.23810 | + | 1.11479i | ||||
\(52\) | 456.240 | + | 187.736i | 1.21671 | + | 0.500660i | ||||
\(53\) | −39.7766 | + | 187.134i | −0.103089 | + | 0.484997i | 0.896067 | + | 0.443920i | \(0.146412\pi\) |
−0.999156 | + | 0.0410777i | \(0.986921\pi\) | |||||||
\(54\) | 7.69073 | + | 115.279i | 0.0193810 | + | 0.290509i | ||||
\(55\) | −206.628 | + | 43.9201i | −0.506576 | + | 0.107676i | ||||
\(56\) | −324.889 | − | 72.3216i | −0.775270 | − | 0.172578i | ||||
\(57\) | 792.330 | + | 457.452i | 1.84117 | + | 1.06300i | ||||
\(58\) | −186.659 | − | 117.469i | −0.422577 | − | 0.265938i | ||||
\(59\) | 644.630 | + | 67.7533i | 1.42243 | + | 0.149504i | 0.784281 | − | 0.620405i | \(-0.213032\pi\) |
0.638153 | + | 0.769909i | \(0.279699\pi\) | |||||||
\(60\) | −1217.16 | + | 163.129i | −2.61891 | + | 0.350998i | ||||
\(61\) | − | 179.911i | − | 0.377626i | −0.982013 | − | 0.188813i | \(-0.939536\pi\) | ||
0.982013 | − | 0.188813i | \(-0.0604640\pi\) | |||||||
\(62\) | −44.1971 | + | 486.184i | −0.0905329 | + | 0.995893i | ||||
\(63\) | − | 475.184i | − | 0.950279i | ||||||
\(64\) | −335.232 | − | 386.993i | −0.654750 | − | 0.755846i | ||||
\(65\) | −1222.54 | − | 128.494i | −2.33289 | − | 0.245197i | ||||
\(66\) | 122.947 | − | 195.363i | 0.229298 | − | 0.364356i | ||||
\(67\) | −218.051 | − | 125.892i | −0.397599 | − | 0.229554i | 0.287848 | − | 0.957676i | \(-0.407060\pi\) |
−0.685448 | + | 0.728122i | \(0.740393\pi\) | |||||||
\(68\) | 630.095 | − | 17.9695i | 1.12368 | − | 0.0320459i | ||||
\(69\) | 825.762 | − | 175.521i | 1.44073 | − | 0.306236i | ||||
\(70\) | 827.489 | − | 55.2052i | 1.41291 | − | 0.0942612i | ||||
\(71\) | −57.4551 | + | 270.305i | −0.0960375 | + | 0.451821i | 0.903683 | + | 0.428201i | \(0.140853\pi\) |
−0.999721 | + | 0.0236200i | \(0.992481\pi\) | |||||||
\(72\) | 435.302 | − | 587.212i | 0.712512 | − | 0.961161i | ||||
\(73\) | −749.332 | + | 674.702i | −1.20141 | + | 1.08175i | −0.206763 | + | 0.978391i | \(0.566293\pi\) |
−0.994644 | + | 0.103360i | \(0.967040\pi\) | |||||||
\(74\) | 78.0647 | − | 99.2624i | 0.122633 | − | 0.155933i | ||||
\(75\) | 1915.93 | − | 853.028i | 2.94977 | − | 1.31332i | ||||
\(76\) | −319.349 | − | 895.177i | −0.481998 | − | 1.35110i | ||||
\(77\) | −91.6274 | + | 126.114i | −0.135609 | + | 0.186650i | ||||
\(78\) | 1031.75 | − | 860.132i | 1.49772 | − | 1.24860i | ||||
\(79\) | −660.449 | + | 733.503i | −0.940587 | + | 1.04463i | 0.0583395 | + | 0.998297i | \(0.481419\pi\) |
−0.998926 | + | 0.0463305i | \(0.985247\pi\) | |||||||
\(80\) | 1073.15 | + | 689.818i | 1.49977 | + | 0.964050i | ||||
\(81\) | −509.438 | − | 226.816i | −0.698817 | − | 0.311134i | ||||
\(82\) | −213.843 | − | 405.302i | −0.287988 | − | 0.545831i | ||||
\(83\) | −126.143 | − | 1200.17i | −0.166819 | − | 1.58717i | −0.682821 | − | 0.730585i | \(-0.739247\pi\) |
0.516003 | − | 0.856587i | \(-0.327419\pi\) | |||||||
\(84\) | −586.937 | + | 690.467i | −0.762381 | + | 0.896859i | ||||
\(85\) | −1493.75 | + | 485.350i | −1.90612 | + | 0.619336i | ||||
\(86\) | −1197.60 | − | 45.6560i | −1.50164 | − | 0.0572467i | ||||
\(87\) | −520.028 | + | 300.238i | −0.640838 | + | 0.369988i | ||||
\(88\) | −228.759 | + | 71.9094i | −0.277111 | + | 0.0871087i | ||||
\(89\) | 200.884 | + | 65.2711i | 0.239254 | + | 0.0777384i | 0.426190 | − | 0.904634i | \(-0.359856\pi\) |
−0.186936 | + | 0.982372i | \(0.559856\pi\) | |||||||
\(90\) | −628.396 | + | 1709.47i | −0.735986 | + | 2.00216i | ||||
\(91\) | −733.888 | + | 533.201i | −0.845411 | + | 0.614227i | ||||
\(92\) | −771.692 | − | 416.668i | −0.874505 | − | 0.472181i | ||||
\(93\) | 1114.61 | + | 724.141i | 1.24279 | + | 0.807419i | ||||
\(94\) | 107.641 | − | 425.918i | 0.118110 | − | 0.467341i | ||||
\(95\) | 1391.97 | + | 1915.89i | 1.50330 | + | 2.06911i | ||||
\(96\) | −1357.83 | + | 315.574i | −1.44357 | + | 0.335502i | ||||
\(97\) | 166.189 | − | 511.478i | 0.173958 | − | 0.535388i | −0.825626 | − | 0.564218i | \(-0.809178\pi\) |
0.999584 | + | 0.0288292i | \(0.00917790\pi\) | |||||||
\(98\) | −249.617 | + | 256.837i | −0.257297 | + | 0.264740i | ||||
\(99\) | −171.173 | − | 296.480i | −0.173773 | − | 0.300983i | ||||
\(100\) | −2090.42 | − | 613.913i | −2.09042 | − | 0.613913i | ||||
\(101\) | 133.357 | + | 410.430i | 0.131381 | + | 0.404350i | 0.995010 | − | 0.0997790i | \(-0.0318136\pi\) |
−0.863628 | + | 0.504129i | \(0.831814\pi\) | |||||||
\(102\) | 757.284 | − | 1540.14i | 0.735120 | − | 1.49507i | ||||
\(103\) | 813.684 | − | 85.5216i | 0.778394 | − | 0.0818125i | 0.293005 | − | 0.956111i | \(-0.405345\pi\) |
0.485389 | + | 0.874298i | \(0.338678\pi\) | |||||||
\(104\) | −1395.36 | − | 13.3866i | −1.31563 | − | 0.0126218i | ||||
\(105\) | 918.413 | − | 2062.79i | 0.853599 | − | 1.91722i | ||||
\(106\) | −92.2600 | − | 533.197i | −0.0845385 | − | 0.488573i | ||||
\(107\) | −293.113 | − | 263.920i | −0.264825 | − | 0.238450i | 0.526011 | − | 0.850478i | \(-0.323687\pi\) |
−0.790836 | + | 0.612028i | \(0.790354\pi\) | |||||||
\(108\) | −141.371 | − | 294.621i | −0.125958 | − | 0.262499i | ||||
\(109\) | 1081.35 | + | 785.650i | 0.950229 | + | 0.690382i | 0.950861 | − | 0.309618i | \(-0.100201\pi\) |
−0.000632236 | 1.00000i | \(0.500201\pi\) | ||||||||
\(110\) | 496.406 | − | 332.525i | 0.430277 | − | 0.288228i | ||||
\(111\) | −139.847 | − | 314.101i | −0.119583 | − | 0.268587i | ||||
\(112\) | 929.130 | − | 151.603i | 0.783880 | − | 0.127903i | ||||
\(113\) | −1402.06 | − | 1557.15i | −1.16721 | − | 1.29632i | −0.947135 | − | 0.320835i | \(-0.896037\pi\) |
−0.220074 | − | 0.975483i | \(-0.570630\pi\) | |||||||
\(114\) | −2561.39 | − | 368.336i | −2.10435 | − | 0.302613i | ||||
\(115\) | 2137.43 | + | 454.324i | 1.73318 | + | 0.368400i | ||||
\(116\) | 613.615 | + | 112.248i | 0.491144 | + | 0.0898444i | ||||
\(117\) | −414.199 | − | 1948.65i | −0.327288 | − | 1.53977i | ||||
\(118\) | −1763.92 | + | 499.696i | −1.37612 | + | 0.389837i | ||||
\(119\) | −579.515 | + | 1003.75i | −0.446421 | + | 0.773223i | ||||
\(120\) | 3024.59 | − | 1707.77i | 2.30089 | − | 1.29915i | ||||
\(121\) | 127.388 | − | 1212.02i | 0.0957085 | − | 0.910606i | ||||
\(122\) | 189.114 | + | 472.418i | 0.140341 | + | 0.350579i | ||||
\(123\) | −1247.69 | −0.914637 | ||||||||
\(124\) | −395.000 | − | 1323.10i | −0.286065 | − | 0.958210i | ||||
\(125\) | 2936.92 | 2.10149 | ||||||||
\(126\) | 499.493 | + | 1247.76i | 0.353161 | + | 0.882217i | ||||
\(127\) | 136.424 | − | 1297.99i | 0.0953204 | − | 0.906913i | −0.837467 | − | 0.546487i | \(-0.815965\pi\) |
0.932788 | − | 0.360426i | \(-0.117369\pi\) | |||||||
\(128\) | 1287.06 | + | 663.803i | 0.888757 | + | 0.458379i | ||||
\(129\) | −1631.54 | + | 2825.90i | −1.11356 | + | 1.92874i | ||||
\(130\) | 3345.28 | − | 947.677i | 2.25693 | − | 0.639360i | ||||
\(131\) | −599.927 | − | 2822.43i | −0.400121 | − | 1.88242i | −0.466323 | − | 0.884614i | \(-0.654422\pi\) |
0.0662024 | − | 0.997806i | \(-0.478912\pi\) | |||||||
\(132\) | −117.482 | + | 642.229i | −0.0774661 | + | 0.423476i | ||||
\(133\) | 1709.38 | + | 363.340i | 1.11445 | + | 0.236884i | ||||
\(134\) | 704.900 | + | 101.367i | 0.454433 | + | 0.0653490i | ||||
\(135\) | 544.829 | + | 605.093i | 0.347343 | + | 0.385764i | ||||
\(136\) | −1635.65 | + | 709.514i | −1.03129 | + | 0.447355i | ||||
\(137\) | 176.285 | + | 395.942i | 0.109935 | + | 0.246917i | 0.960132 | − | 0.279547i | \(-0.0901842\pi\) |
−0.850197 | + | 0.526464i | \(0.823518\pi\) | |||||||
\(138\) | −1983.82 | + | 1328.90i | −1.22373 | + | 0.819733i | ||||
\(139\) | 586.461 | + | 426.089i | 0.357863 | + | 0.260003i | 0.752160 | − | 0.658980i | \(-0.229012\pi\) |
−0.394297 | + | 0.918983i | \(0.629012\pi\) | |||||||
\(140\) | −2114.83 | + | 1014.78i | −1.27668 | + | 0.612604i | ||||
\(141\) | −888.877 | − | 800.349i | −0.530901 | − | 0.478025i | ||||
\(142\) | −133.264 | − | 770.174i | −0.0787556 | − | 0.455152i | ||||
\(143\) | −265.820 | + | 597.042i | −0.155448 | + | 0.349141i | ||||
\(144\) | −525.785 | + | 1999.50i | −0.304274 | + | 1.15712i | ||||
\(145\) | −1545.78 | + | 162.468i | −0.885310 | + | 0.0930498i | ||||
\(146\) | 1258.41 | − | 2559.33i | 0.713337 | − | 1.45076i | ||||
\(147\) | 301.335 | + | 927.415i | 0.169073 | + | 0.520353i | ||||
\(148\) | −100.646 | + | 342.706i | −0.0558989 | + | 0.190340i | ||||
\(149\) | 1594.04 | + | 2760.95i | 0.876434 | + | 1.51803i | 0.855227 | + | 0.518253i | \(0.173418\pi\) |
0.0212070 | + | 0.999775i | \(0.493249\pi\) | |||||||
\(150\) | −4134.28 | + | 4253.87i | −2.25042 | + | 2.31551i | ||||
\(151\) | 123.969 | − | 381.538i | 0.0668110 | − | 0.205623i | −0.912078 | − | 0.410018i | \(-0.865523\pi\) |
0.978889 | + | 0.204395i | \(0.0655225\pi\) | |||||||
\(152\) | 1779.53 | + | 2014.91i | 0.949600 | + | 1.07520i | ||||
\(153\) | −1496.14 | − | 2059.26i | −0.790559 | − | 1.08811i | ||||
\(154\) | 108.034 | − | 427.471i | 0.0565299 | − | 0.223679i | ||||
\(155\) | 1873.28 | + | 2885.81i | 0.970743 | + | 1.49544i | ||||
\(156\) | −1805.08 | + | 3343.10i | −0.926423 | + | 1.71579i | ||||
\(157\) | −1873.24 | + | 1360.99i | −0.952233 | + | 0.691838i | −0.951334 | − | 0.308162i | \(-0.900286\pi\) |
−0.000898962 | 1.00000i | \(0.500286\pi\) | ||||||||
\(158\) | 963.212 | − | 2620.30i | 0.484994 | − | 1.31937i | ||||
\(159\) | −1401.19 | − | 455.275i | −0.698880 | − | 0.227080i | ||||
\(160\) | −3543.03 | − | 683.312i | −1.75063 | − | 0.337628i | ||||
\(161\) | 1396.50 | − | 806.268i | 0.683599 | − | 0.394676i | ||||
\(162\) | 1576.13 | + | 60.0863i | 0.764396 | + | 0.0291409i | ||||
\(163\) | 94.4462 | − | 30.6874i | 0.0453840 | − | 0.0147462i | −0.286237 | − | 0.958159i | \(-0.592404\pi\) |
0.331621 | + | 0.943413i | \(0.392404\pi\) | |||||||
\(164\) | 987.555 | + | 839.478i | 0.470214 | + | 0.399709i | ||||
\(165\) | −170.044 | − | 1617.86i | −0.0802298 | − | 0.763336i | ||||
\(166\) | 1592.79 | + | 3018.86i | 0.744727 | + | 1.41150i | ||||
\(167\) | 969.037 | + | 431.443i | 0.449020 | + | 0.199916i | 0.618773 | − | 0.785570i | \(-0.287630\pi\) |
−0.169753 | + | 0.985487i | \(0.554297\pi\) | |||||||
\(168\) | 815.417 | − | 2430.02i | 0.374469 | − | 1.11595i | ||||
\(169\) | −1074.71 | + | 1193.58i | −0.489170 | + | 0.543278i | ||||
\(170\) | 3412.19 | − | 2844.62i | 1.53943 | − | 1.28337i | ||||
\(171\) | −2255.85 | + | 3104.92i | −1.00883 | + | 1.38853i | ||||
\(172\) | 3192.72 | − | 1138.98i | 1.41536 | − | 0.504922i | ||||
\(173\) | −164.405 | + | 73.1978i | −0.0722513 | + | 0.0321683i | −0.442544 | − | 0.896747i | \(-0.645924\pi\) |
0.370293 | + | 0.928915i | \(0.379257\pi\) | |||||||
\(174\) | 1049.92 | − | 1335.01i | 0.457437 | − | 0.581649i | ||||
\(175\) | 2977.03 | − | 2680.53i | 1.28595 | − | 1.15788i | ||||
\(176\) | 525.097 | − | 429.284i | 0.224890 | − | 0.183855i | ||||
\(177\) | −1037.81 | + | 4882.51i | −0.440715 | + | 2.07340i | ||||
\(178\) | −596.100 | + | 39.7683i | −0.251009 | + | 0.0167458i | ||||
\(179\) | −3100.13 | + | 658.954i | −1.29450 | + | 0.275154i | −0.803133 | − | 0.595800i | \(-0.796835\pi\) |
−0.491364 | + | 0.870954i | \(0.663502\pi\) | |||||||
\(180\) | −146.853 | − | 5149.36i | −0.0608099 | − | 2.13228i | ||||
\(181\) | −1048.05 | − | 605.093i | −0.430392 | − | 0.248487i | 0.269121 | − | 0.963106i | \(-0.413267\pi\) |
−0.699514 | + | 0.714619i | \(0.746600\pi\) | |||||||
\(182\) | 1366.60 | − | 2171.53i | 0.556589 | − | 0.884422i | ||||
\(183\) | 1377.89 | + | 144.822i | 0.556593 | + | 0.0585002i | ||||
\(184\) | 2464.33 | + | 282.939i | 0.987352 | + | 0.113361i | ||||
\(185\) | − | 889.971i | − | 0.353686i | ||||||
\(186\) | −3687.98 | − | 729.856i | −1.45385 | − | 0.287718i | ||||
\(187\) | 835.021i | 0.326539i | ||||||||
\(188\) | 165.057 | + | 1231.54i | 0.0640321 | + | 0.477763i | ||||
\(189\) | 597.566 | + | 62.8067i | 0.229982 | + | 0.0241720i | ||||
\(190\) | −5669.00 | − | 3567.64i | −2.16459 | − | 1.36223i | ||||
\(191\) | 859.829 | + | 496.423i | 0.325733 | + | 0.188062i | 0.653945 | − | 0.756542i | \(-0.273113\pi\) |
−0.328212 | + | 0.944604i | \(0.606446\pi\) | |||||||
\(192\) | 3233.73 | − | 2255.94i | 1.21549 | − | 0.847960i | ||||
\(193\) | 3868.47 | − | 822.270i | 1.44279 | − | 0.306675i | 0.580986 | − | 0.813913i | \(-0.302667\pi\) |
0.861806 | + | 0.507238i | \(0.169334\pi\) | |||||||
\(194\) | 101.255 | + | 1517.75i | 0.0374728 | + | 0.561692i | ||||
\(195\) | 1968.21 | − | 9259.71i | 0.722803 | − | 3.40052i | ||||
\(196\) | 385.480 | − | 936.803i | 0.140481 | − | 0.341400i | ||||
\(197\) | 718.558 | − | 646.993i | 0.259874 | − | 0.233991i | −0.528886 | − | 0.848693i | \(-0.677390\pi\) |
0.788760 | + | 0.614701i | \(0.210723\pi\) | |||||||
\(198\) | 761.120 | + | 598.581i | 0.273184 | + | 0.214845i | ||||
\(199\) | −1631.01 | + | 726.174i | −0.581003 | + | 0.258679i | −0.676125 | − | 0.736787i | \(-0.736342\pi\) |
0.0951229 | + | 0.995466i | \(0.469676\pi\) | |||||||
\(200\) | 6134.43 | − | 585.313i | 2.16885 | − | 0.206939i | ||||
\(201\) | 1139.70 | − | 1568.66i | 0.399940 | − | 0.550470i | ||||
\(202\) | −781.601 | − | 937.549i | −0.272244 | − | 0.326563i | ||||
\(203\) | −767.478 | + | 852.371i | −0.265352 | + | 0.294703i | ||||
\(204\) | −369.581 | + | 4840.20i | −0.126843 | + | 1.66119i | ||||
\(205\) | −2950.35 | − | 1313.58i | −1.00518 | − | 0.447533i | ||||
\(206\) | −2046.71 | + | 1079.87i | −0.692239 | + | 0.365235i | ||||
\(207\) | 370.171 | + | 3521.94i | 0.124293 | + | 1.18257i | ||||
\(208\) | 3678.06 | − | 1431.59i | 1.22610 | − | 0.477224i | ||||
\(209\) | 1197.41 | − | 389.062i | 0.396300 | − | 0.128766i | ||||
\(210\) | −243.298 | + | 6381.96i | −0.0799485 | + | 2.09713i | ||||
\(211\) | −1401.10 | + | 808.924i | −0.457135 | + | 0.263927i | −0.710839 | − | 0.703355i | \(-0.751685\pi\) |
0.253704 | + | 0.967282i | \(0.418351\pi\) | |||||||
\(212\) | 802.734 | + | 1303.11i | 0.260057 | + | 0.422162i | ||||
\(213\) | −2023.95 | − | 657.620i | −0.651073 | − | 0.211546i | ||||
\(214\) | 1047.09 | + | 384.907i | 0.334475 | + | 0.122952i | ||||
\(215\) | −6833.15 | + | 4964.57i | −2.16752 | + | 1.57480i | ||||
\(216\) | 680.910 | + | 625.026i | 0.214491 | + | 0.196887i | ||||
\(217\) | 2452.26 | + | 657.587i | 0.767143 | + | 0.205714i | ||||
\(218\) | −3665.31 | − | 926.324i | −1.13874 | − | 0.287792i | ||||
\(219\) | −4564.18 | − | 6282.05i | −1.40830 | − | 1.93836i | ||||
\(220\) | −953.950 | + | 1394.96i | −0.292342 | + | 0.427492i | ||||
\(221\) | −1501.57 | + | 4621.36i | −0.457043 | + | 1.40663i | ||||
\(222\) | 697.385 | + | 677.780i | 0.210835 | + | 0.204908i | ||||
\(223\) | 887.684 | + | 1537.51i | 0.266564 | + | 0.461702i | 0.967972 | − | 0.251058i | \(-0.0807784\pi\) |
−0.701408 | + | 0.712760i | \(0.747445\pi\) | |||||||
\(224\) | −2280.39 | + | 1374.75i | −0.680202 | + | 0.410063i | ||||
\(225\) | 2718.63 | + | 8367.07i | 0.805519 | + | 2.47913i | ||||
\(226\) | 5318.40 | + | 2615.04i | 1.56537 | + | 0.769690i | ||||
\(227\) | −2816.34 | + | 296.009i | −0.823467 | + | 0.0865499i | −0.506883 | − | 0.862015i | \(-0.669203\pi\) |
−0.316584 | + | 0.948565i | \(0.602536\pi\) | |||||||
\(228\) | 7113.00 | − | 1725.23i | 2.06609 | − | 0.501122i | ||||
\(229\) | 2290.85 | − | 5145.33i | 0.661063 | − | 1.48477i | −0.201848 | − | 0.979417i | \(-0.564695\pi\) |
0.862911 | − | 0.505355i | \(-0.168639\pi\) | |||||||
\(230\) | −6090.12 | + | 1053.78i | −1.74596 | + | 0.302106i | ||||
\(231\) | −892.119 | − | 803.268i | −0.254100 | − | 0.228793i | ||||
\(232\) | −1729.25 | + | 350.259i | −0.489357 | + | 0.0991191i | ||||
\(233\) | −4464.10 | − | 3243.36i | −1.25516 | − | 0.911929i | −0.256653 | − | 0.966504i | \(-0.582620\pi\) |
−0.998510 | + | 0.0545745i | \(0.982620\pi\) | |||||||
\(234\) | 3135.96 | + | 4681.48i | 0.876087 | + | 1.30785i | ||||
\(235\) | −1259.27 | − | 2828.36i | −0.349556 | − | 0.785115i | ||||
\(236\) | 4106.52 | − | 3166.28i | 1.13268 | − | 0.873336i | ||||
\(237\) | −5086.07 | − | 5648.65i | −1.39399 | − | 1.54818i | ||||
\(238\) | 466.621 | − | 3244.85i | 0.127086 | − | 0.883751i | ||||
\(239\) | 1139.39 | + | 242.184i | 0.308371 | + | 0.0655463i | 0.359498 | − | 0.933146i | \(-0.382948\pi\) |
−0.0511268 | + | 0.998692i | \(0.516281\pi\) | |||||||
\(240\) | −6146.98 | + | 7663.67i | −1.65328 | + | 2.06120i | ||||
\(241\) | 535.808 | + | 2520.78i | 0.143213 | + | 0.673766i | 0.989911 | + | 0.141691i | \(0.0452540\pi\) |
−0.846698 | + | 0.532074i | \(0.821413\pi\) | |||||||
\(242\) | 939.517 | + | 3316.47i | 0.249564 | + | 0.880955i | ||||
\(243\) | 2698.65 | − | 4674.21i | 0.712423 | − | 1.23395i | ||||
\(244\) | −993.169 | − | 1041.71i | −0.260578 | − | 0.273314i | ||||
\(245\) | −263.839 | + | 2510.26i | −0.0688002 | + | 0.654590i | ||||
\(246\) | 3276.24 | − | 1311.52i | 0.849128 | − | 0.339915i | ||||
\(247\) | 7326.60 | 1.88737 | ||||||||
\(248\) | 2428.00 | + | 3059.06i | 0.621685 | + | 0.783267i | ||||
\(249\) | 9293.30 | 2.36522 | ||||||||
\(250\) | −7711.91 | + | 3087.16i | −1.95097 | + | 0.780997i | ||||
\(251\) | 168.220 | − | 1600.51i | 0.0423026 | − | 0.402482i | −0.952797 | − | 0.303607i | \(-0.901809\pi\) |
0.995100 | − | 0.0988750i | \(-0.0315244\pi\) | |||||||
\(252\) | −2623.18 | − | 2751.38i | −0.655734 | − | 0.687781i | ||||
\(253\) | 580.874 | − | 1006.10i | 0.144345 | − | 0.250012i | ||||
\(254\) | 1006.16 | + | 3551.73i | 0.248552 | + | 0.877382i | ||||
\(255\) | −2514.75 | − | 11831.0i | −0.617567 | − | 2.90542i | ||||
\(256\) | −4077.38 | − | 390.148i | −0.995453 | − | 0.0952509i | ||||
\(257\) | −2755.97 | − | 585.798i | −0.668920 | − | 0.142183i | −0.139080 | − | 0.990281i | \(-0.544415\pi\) |
−0.529840 | + | 0.848098i | \(0.677748\pi\) | |||||||
\(258\) | 1313.70 | − | 9135.38i | 0.317005 | − | 2.20443i | ||||
\(259\) | −439.450 | − | 488.058i | −0.105429 | − | 0.117091i | ||||
\(260\) | −7788.03 | + | 6004.86i | −1.85767 | + | 1.43233i | ||||
\(261\) | −1024.53 | − | 2301.14i | −0.242977 | − | 0.545736i | ||||
\(262\) | 4542.13 | + | 6780.66i | 1.07105 | + | 1.59890i | ||||
\(263\) | −1927.86 | − | 1400.67i | −0.452003 | − | 0.328399i | 0.338383 | − | 0.941008i | \(-0.390120\pi\) |
−0.790386 | + | 0.612609i | \(0.790120\pi\) | |||||||
\(264\) | −366.592 | − | 1809.89i | −0.0854629 | − | 0.421935i | ||||
\(265\) | −2834.01 | − | 2551.76i | −0.656951 | − | 0.591522i | ||||
\(266\) | −4870.50 | + | 842.750i | −1.12267 | + | 0.194257i | ||||
\(267\) | −661.599 | + | 1485.97i | −0.151645 | + | 0.340600i | ||||
\(268\) | −1957.51 | + | 474.786i | −0.446172 | + | 0.108217i | ||||
\(269\) | 3974.76 | − | 417.764i | 0.900913 | − | 0.0946897i | 0.357265 | − | 0.934003i | \(-0.383709\pi\) |
0.543648 | + | 0.839313i | \(0.317043\pi\) | |||||||
\(270\) | −2066.68 | − | 1016.18i | −0.465831 | − | 0.229048i | ||||
\(271\) | 1373.30 | + | 4226.57i | 0.307830 | + | 0.947403i | 0.978606 | + | 0.205743i | \(0.0659610\pi\) |
−0.670776 | + | 0.741660i | \(0.734039\pi\) | |||||||
\(272\) | 3549.14 | − | 3582.39i | 0.791171 | − | 0.798582i | ||||
\(273\) | −3492.89 | − | 6049.87i | −0.774357 | − | 1.34123i | ||||
\(274\) | −879.094 | − | 854.381i | −0.193825 | − | 0.188376i | ||||
\(275\) | 891.854 | − | 2744.85i | 0.195567 | − | 0.601892i | ||||
\(276\) | 3812.34 | − | 5574.78i | 0.831435 | − | 1.21581i | ||||
\(277\) | 1611.05 | + | 2217.42i | 0.349454 | + | 0.480982i | 0.947173 | − | 0.320724i | \(-0.103926\pi\) |
−0.597719 | + | 0.801706i | \(0.703926\pi\) | |||||||
\(278\) | −1987.84 | − | 502.382i | −0.428860 | − | 0.108385i | ||||
\(279\) | −3509.76 | + | 4332.49i | −0.753133 | + | 0.929675i | ||||
\(280\) | 4486.53 | − | 4887.67i | 0.957576 | − | 1.04319i | ||||
\(281\) | 2712.45 | − | 1970.71i | 0.575840 | − | 0.418372i | −0.261382 | − | 0.965235i | \(-0.584178\pi\) |
0.837222 | + | 0.546863i | \(0.184178\pi\) | |||||||
\(282\) | 3175.35 | + | 1167.24i | 0.670529 | + | 0.246484i | ||||
\(283\) | 945.774 | + | 307.301i | 0.198659 | + | 0.0645482i | 0.406656 | − | 0.913581i | \(-0.366695\pi\) |
−0.207998 | + | 0.978129i | \(0.566695\pi\) | |||||||
\(284\) | 1159.50 | + | 1882.28i | 0.242267 | + | 0.393284i | ||||
\(285\) | −15793.8 | + | 9118.53i | −3.28260 | + | 1.89521i | ||||
\(286\) | 70.4189 | − | 1847.16i | 0.0145593 | − | 0.381905i | ||||
\(287\) | −2266.58 | + | 736.457i | −0.466175 | + | 0.151469i | ||||
\(288\) | −721.154 | − | 5803.06i | −0.147550 | − | 1.18732i | ||||
\(289\) | 135.415 | + | 1288.39i | 0.0275626 | + | 0.262241i | ||||
\(290\) | 3888.20 | − | 2051.47i | 0.787320 | − | 0.415402i | ||||
\(291\) | 3783.50 | + | 1684.52i | 0.762174 | + | 0.339342i | ||||
\(292\) | −614.151 | + | 8043.19i | −0.123084 | + | 1.61196i | ||||
\(293\) | 1187.21 | − | 1318.53i | 0.236715 | − | 0.262898i | −0.613070 | − | 0.790029i | \(-0.710065\pi\) |
0.849784 | + | 0.527131i | \(0.176732\pi\) | |||||||
\(294\) | −1766.12 | − | 2118.50i | −0.350347 | − | 0.420250i | ||||
\(295\) | −7594.41 | + | 10452.8i | −1.49886 | + | 2.06300i | ||||
\(296\) | −95.9571 | − | 1005.69i | −0.0188425 | − | 0.197481i | ||||
\(297\) | 395.461 | − | 176.071i | 0.0772626 | − | 0.0343995i | ||||
\(298\) | −7087.89 | − | 5574.26i | −1.37782 | − | 1.08359i | ||||
\(299\) | 5024.02 | − | 4523.64i | 0.971727 | − | 0.874947i | ||||
\(300\) | 6384.51 | − | 15515.8i | 1.22870 | − | 2.98601i | ||||
\(301\) | −1295.88 | + | 6096.63i | −0.248150 | + | 1.16746i | ||||
\(302\) | 75.5317 | + | 1132.17i | 0.0143919 | + | 0.215725i | ||||
\(303\) | −3250.73 | + | 690.964i | −0.616335 | + | 0.131006i | ||||
\(304\) | −6790.77 | − | 3420.28i | −1.28118 | − | 0.645285i | ||||
\(305\) | 3105.75 | + | 1793.11i | 0.583065 | + | 0.336633i | ||||
\(306\) | 6093.23 | + | 3834.62i | 1.13832 | + | 0.716374i | ||||
\(307\) | −1386.90 | − | 145.769i | −0.257833 | − | 0.0270993i | −0.0252698 | − | 0.999681i | \(-0.508044\pi\) |
−0.232563 | + | 0.972581i | \(0.574711\pi\) | |||||||
\(308\) | 165.659 | + | 1236.03i | 0.0306471 | + | 0.228668i | ||||
\(309\) | 6300.63i | 1.15997i | ||||||||
\(310\) | −7952.38 | − | 5608.59i | −1.45698 | − | 1.02757i | ||||
\(311\) | − | 2025.82i | − | 0.369368i | −0.982798 | − | 0.184684i | \(-0.940874\pi\) | ||
0.982798 | − | 0.184684i | \(-0.0591262\pi\) | |||||||
\(312\) | 1225.74 | − | 10675.9i | 0.222416 | − | 1.93719i | ||||
\(313\) | 6804.12 | + | 715.142i | 1.22873 | + | 0.129144i | 0.696562 | − | 0.717497i | \(-0.254712\pi\) |
0.532165 | + | 0.846641i | \(0.321379\pi\) | |||||||
\(314\) | 3488.22 | − | 5542.80i | 0.626917 | − | 0.996174i | ||||
\(315\) | 8202.99 | + | 4736.00i | 1.46726 | + | 0.847122i | ||||
\(316\) | 225.098 | + | 7893.00i | 0.0400721 | + | 1.40511i | ||||
\(317\) | −5314.85 | + | 1129.71i | −0.941677 | + | 0.200160i | −0.653078 | − | 0.757291i | \(-0.726523\pi\) |
−0.288599 | + | 0.957450i | \(0.593189\pi\) | |||||||
\(318\) | 4157.89 | − | 277.390i | 0.733216 | − | 0.0489158i | ||||
\(319\) | −171.805 | + | 808.281i | −0.0301544 | + | 0.141865i | ||||
\(320\) | 10021.7 | − | 1930.00i | 1.75072 | − | 0.337157i | ||||
\(321\) | 2257.24 | − | 2032.43i | 0.392483 | − | 0.353393i | ||||
\(322\) | −2819.47 | + | 3585.07i | −0.487960 | + | 0.620460i | ||||
\(323\) | 8551.76 | − | 3807.49i | 1.47317 | − | 0.655896i | ||||
\(324\) | −4201.82 | + | 1498.98i | −0.720477 | + | 0.257026i | ||||
\(325\) | 9871.79 | − | 13587.4i | 1.68489 | − | 2.31905i | ||||
\(326\) | −215.744 | + | 179.858i | −0.0366532 | + | 0.0305565i | ||||
\(327\) | −6887.54 | + | 7649.39i | −1.16478 | + | 1.29362i | ||||
\(328\) | −3475.59 | − | 1166.27i | −0.585084 | − | 0.196330i | ||||
\(329\) | −2087.17 | − | 929.267i | −0.349755 | − | 0.155721i | ||||
\(330\) | 2147.14 | + | 4069.52i | 0.358169 | + | 0.678847i | ||||
\(331\) | 515.674 | + | 4906.31i | 0.0856314 | + | 0.814728i | 0.950080 | + | 0.312007i | \(0.101001\pi\) |
−0.864448 | + | 0.502721i | \(0.832332\pi\) | |||||||
\(332\) | −7355.72 | − | 6252.78i | −1.21596 | − | 1.03363i | ||||
\(333\) | 1371.71 | − | 445.696i | 0.225734 | − | 0.0733453i | ||||
\(334\) | −2998.06 | − | 114.294i | −0.491157 | − | 0.0187243i | ||||
\(335\) | 4346.48 | − | 2509.44i | 0.708876 | − | 0.409270i | ||||
\(336\) | 413.173 | + | 7238.00i | 0.0670847 | + | 1.17519i | ||||
\(337\) | 1979.36 | + | 643.135i | 0.319949 | + | 0.103958i | 0.464589 | − | 0.885527i | \(-0.346202\pi\) |
−0.144639 | + | 0.989484i | \(0.546202\pi\) | |||||||
\(338\) | 1567.37 | − | 4263.85i | 0.252230 | − | 0.686162i | ||||
\(339\) | 13054.4 | − | 9484.56i | 2.09149 | − | 1.51956i | ||||
\(340\) | −5969.74 | + | 11056.3i | −0.952220 | + | 1.76356i | ||||
\(341\) | 1766.91 | − | 473.076i | 0.280596 | − | 0.0751275i | ||||
\(342\) | 2659.78 | − | 10524.3i | 0.420539 | − | 1.66400i | ||||
\(343\) | 4060.44 | + | 5588.72i | 0.639193 | + | 0.879774i | ||||
\(344\) | −7186.33 | + | 6346.84i | −1.12634 | + | 0.994763i | ||||
\(345\) | −5200.11 | + | 16004.3i | −0.811491 | + | 2.49751i | ||||
\(346\) | 354.760 | − | 365.021i | 0.0551214 | − | 0.0567158i | ||||
\(347\) | 4885.54 | + | 8462.00i | 0.755820 | + | 1.30912i | 0.944966 | + | 0.327169i | \(0.106095\pi\) |
−0.189146 | + | 0.981949i | \(0.560572\pi\) | |||||||
\(348\) | −1353.62 | + | 4609.16i | −0.208510 | + | 0.709991i | ||||
\(349\) | 1548.68 | + | 4766.36i | 0.237534 | + | 0.731053i | 0.996775 | + | 0.0802443i | \(0.0255700\pi\) |
−0.759242 | + | 0.650809i | \(0.774430\pi\) | |||||||
\(350\) | −4999.56 | + | 10168.0i | −0.763537 | + | 1.55286i | ||||
\(351\) | 2505.27 | − | 263.314i | 0.380972 | − | 0.0400418i | ||||
\(352\) | −927.580 | + | 1679.19i | −0.140455 | + | 0.254265i | ||||
\(353\) | −1962.57 | + | 4408.01i | −0.295913 | + | 0.664631i | −0.998916 | − | 0.0465561i | \(-0.985175\pi\) |
0.703003 | + | 0.711187i | \(0.251842\pi\) | |||||||
\(354\) | −2407.15 | − | 13911.6i | −0.361409 | − | 2.08869i | ||||
\(355\) | −4093.57 | − | 3685.87i | −0.612012 | − | 0.551058i | ||||
\(356\) | 1523.46 | − | 731.019i | 0.226807 | − | 0.108831i | ||||
\(357\) | −7220.97 | − | 5246.34i | −1.07052 | − | 0.777775i | ||||
\(358\) | 7447.82 | − | 4989.04i | 1.09952 | − | 0.736533i | ||||
\(359\) | −1584.61 | − | 3559.09i | −0.232960 | − | 0.523236i | 0.758804 | − | 0.651319i | \(-0.225784\pi\) |
−0.991763 | + | 0.128083i | \(0.959118\pi\) | |||||||
\(360\) | 5798.39 | + | 13367.1i | 0.848895 | + | 1.95696i | ||||
\(361\) | −4854.86 | − | 5391.87i | −0.707808 | − | 0.786101i | ||||
\(362\) | 3388.07 | + | 487.215i | 0.491914 | + | 0.0707389i | ||||
\(363\) | 9179.98 | + | 1951.26i | 1.32734 | + | 0.282134i | ||||
\(364\) | −1305.86 | + | 7138.63i | −0.188038 | + | 1.02793i | ||||
\(365\) | −4178.88 | − | 19660.1i | −0.599267 | − | 2.81933i | ||||
\(366\) | −3770.35 | + | 1068.10i | −0.538469 | + | 0.152542i | ||||
\(367\) | −3449.96 | + | 5975.50i | −0.490698 | + | 0.849914i | −0.999943 | − | 0.0107075i | \(-0.996592\pi\) |
0.509244 | + | 0.860622i | \(0.329925\pi\) | |||||||
\(368\) | −6768.36 | + | 1847.44i | −0.958764 | + | 0.261697i | ||||
\(369\) | 547.089 | − | 5205.20i | 0.0771824 | − | 0.734342i | ||||
\(370\) | 935.498 | + | 2336.93i | 0.131444 | + | 0.328354i | ||||
\(371\) | −2814.17 | −0.393813 | ||||||||
\(372\) | 10451.3 | − | 1960.15i | 1.45665 | − | 0.273196i | ||||
\(373\) | −2631.15 | −0.365244 | −0.182622 | − | 0.983183i | \(-0.558458\pi\) | ||||
−0.182622 | + | 0.983183i | \(0.558458\pi\) | |||||||
\(374\) | −877.737 | − | 2192.64i | −0.121355 | − | 0.303151i | ||||
\(375\) | −2364.12 | + | 22493.1i | −0.325554 | + | 3.09744i | ||||
\(376\) | −1727.96 | − | 3060.34i | −0.237002 | − | 0.419747i | ||||
\(377\) | −2404.33 | + | 4164.42i | −0.328459 | + | 0.568908i | ||||
\(378\) | −1635.14 | + | 463.214i | −0.222493 | + | 0.0630295i | ||||
\(379\) | 2618.67 | + | 12319.9i | 0.354913 | + | 1.66973i | 0.687132 | + | 0.726532i | \(0.258869\pi\) |
−0.332219 | + | 0.943202i | \(0.607797\pi\) | |||||||
\(380\) | 18636.1 | + | 3409.08i | 2.51582 | + | 0.460216i | ||||
\(381\) | 9831.15 | + | 2089.68i | 1.32196 | + | 0.280990i | ||||
\(382\) | −2779.60 | − | 399.715i | −0.372295 | − | 0.0535372i | ||||
\(383\) | −8572.05 | − | 9520.22i | −1.14363 | − | 1.27013i | −0.957763 | − | 0.287558i | \(-0.907157\pi\) |
−0.185869 | − | 0.982575i | \(-0.559510\pi\) | |||||||
\(384\) | −6119.93 | + | 9322.90i | −0.813299 | + | 1.23895i | ||||
\(385\) | −1263.86 | − | 2838.68i | −0.167305 | − | 0.375773i | ||||
\(386\) | −9293.69 | + | 6225.52i | −1.22548 | + | 0.820909i | ||||
\(387\) | −11073.9 | − | 8045.67i | −1.45457 | − | 1.05681i | ||||
\(388\) | −1861.28 | − | 3878.95i | −0.243536 | − | 0.507536i | ||||
\(389\) | −397.038 | − | 357.494i | −0.0517496 | − | 0.0465956i | 0.642850 | − | 0.765992i | \(-0.277752\pi\) |
−0.694600 | + | 0.719396i | \(0.744418\pi\) | |||||||
\(390\) | 4565.17 | + | 26383.5i | 0.592735 | + | 3.42559i | ||||
\(391\) | 3513.29 | − | 7890.97i | 0.454410 | − | 1.02062i | ||||
\(392\) | −27.4868 | + | 2865.10i | −0.00354157 | + | 0.369157i | ||||
\(393\) | 22099.2 | − | 2322.72i | 2.83653 | − | 0.298132i | ||||
\(394\) | −1206.73 | + | 2454.22i | −0.154300 | + | 0.313812i | ||||
\(395\) | −6079.82 | − | 18711.8i | −0.774453 | − | 2.38352i | ||||
\(396\) | −2627.79 | − | 771.727i | −0.333463 | − | 0.0979312i | ||||
\(397\) | 3340.15 | + | 5785.32i | 0.422261 | + | 0.731377i | 0.996160 | − | 0.0875485i | \(-0.0279033\pi\) |
−0.573899 | + | 0.818926i | \(0.694570\pi\) | |||||||
\(398\) | 3519.47 | − | 3621.27i | 0.443254 | − | 0.456075i | ||||
\(399\) | −4158.72 | + | 12799.2i | −0.521795 | + | 1.60592i | ||||
\(400\) | −15492.8 | + | 7985.18i | −1.93660 | + | 0.998148i | ||||
\(401\) | 3761.62 | + | 5177.43i | 0.468445 | + | 0.644759i | 0.976233 | − | 0.216723i | \(-0.0695368\pi\) |
−0.507788 | + | 0.861482i | \(0.669537\pi\) | |||||||
\(402\) | −1343.76 | + | 5317.05i | −0.166718 | + | 0.659677i | ||||
\(403\) | 10629.5 | + | 559.124i | 1.31388 | + | 0.0691115i | ||||
\(404\) | 3037.88 | + | 1640.27i | 0.374109 | + | 0.201997i | ||||
\(405\) | 8992.87 | − | 6533.70i | 1.10336 | − | 0.801635i | ||||
\(406\) | 1119.31 | − | 3044.94i | 0.136823 | − | 0.372211i | ||||
\(407\) | −449.994 | − | 146.212i | −0.0548044 | − | 0.0178070i | ||||
\(408\) | −4117.34 | − | 13098.1i | −0.499605 | − | 1.58935i | ||||
\(409\) | 10845.9 | − | 6261.89i | 1.31124 | − | 0.757042i | 0.328935 | − | 0.944353i | \(-0.393310\pi\) |
0.982301 | + | 0.187310i | \(0.0599770\pi\) | |||||||
\(410\) | 9127.94 | + | 347.983i | 1.09950 | + | 0.0419162i | ||||
\(411\) | −3174.32 | + | 1031.40i | −0.380968 | + | 0.123784i | ||||
\(412\) | 4239.23 | − | 4987.00i | 0.506923 | − | 0.596339i | ||||
\(413\) | 996.627 | + | 9482.27i | 0.118743 | + | 1.12976i | ||||
\(414\) | −4674.12 | − | 8858.96i | −0.554880 | − | 1.05168i | ||||
\(415\) | 21975.4 | + | 9784.08i | 2.59935 | + | 1.15730i | ||||
\(416\) | −8153.21 | + | 7625.34i | −0.960923 | + | 0.898710i | ||||
\(417\) | −3735.39 | + | 4148.57i | −0.438664 | + | 0.487185i | ||||
\(418\) | −2735.25 | + | 2280.28i | −0.320061 | + | 0.266824i | ||||
\(419\) | −6474.16 | + | 8910.91i | −0.754853 | + | 1.03897i | 0.242772 | + | 0.970083i | \(0.421943\pi\) |
−0.997625 | + | 0.0688822i | \(0.978057\pi\) | |||||||
\(420\) | −6069.57 | − | 17013.8i | −0.705154 | − | 1.97664i | ||||
\(421\) | −4483.23 | + | 1996.06i | −0.519001 | + | 0.231074i | −0.649482 | − | 0.760377i | \(-0.725014\pi\) |
0.130482 | + | 0.991451i | \(0.458348\pi\) | |||||||
\(422\) | 2828.76 | − | 3596.88i | 0.326308 | − | 0.414914i | ||||
\(423\) | 3728.71 | − | 3357.35i | 0.428596 | − | 0.385910i | ||||
\(424\) | −3477.63 | − | 2577.98i | −0.398323 | − | 0.295278i | ||||
\(425\) | 4461.48 | − | 20989.6i | 0.509208 | − | 2.39564i | ||||
\(426\) | 6005.83 | − | 400.674i | 0.683060 | − | 0.0455697i | ||||
\(427\) | 2588.59 | − | 550.222i | 0.293374 | − | 0.0623585i | ||||
\(428\) | −3154.10 | + | 89.9509i | −0.356213 | + | 0.0101587i | ||||
\(429\) | −4358.61 | − | 2516.45i | −0.490526 | − | 0.283206i | ||||
\(430\) | 12724.3 | − | 20218.9i | 1.42702 | − | 2.26754i | ||||
\(431\) | −118.268 | − | 12.4305i | −0.0132176 | − | 0.00138922i | 0.0979174 | − | 0.995195i | \(-0.468782\pi\) |
−0.111135 | + | 0.993805i | \(0.535449\pi\) | |||||||
\(432\) | −2444.97 | − | 925.479i | −0.272300 | − | 0.103072i | ||||
\(433\) | − | 3654.22i | − | 0.405567i | −0.979224 | − | 0.202783i | \(-0.935001\pi\) | ||
0.979224 | − | 0.202783i | \(-0.0649988\pi\) | |||||||
\(434\) | −7130.48 | + | 850.981i | −0.788649 | + | 0.0941208i | ||||
\(435\) | − | 11969.5i | − | 1.31930i | ||||||
\(436\) | 10598.3 | − | 1420.43i | 1.16414 | − | 0.156023i | ||||
\(437\) | −12952.5 | − | 1361.36i | −1.41786 | − | 0.149023i | ||||
\(438\) | 18588.2 | + | 11698.0i | 2.02781 | + | 1.27615i | ||||
\(439\) | 1786.33 | + | 1031.34i | 0.194207 | + | 0.112125i | 0.593950 | − | 0.804502i | \(-0.297567\pi\) |
−0.399744 | + | 0.916627i | \(0.630901\pi\) | |||||||
\(440\) | 1038.60 | − | 4665.70i | 0.112531 | − | 0.505520i | ||||
\(441\) | −4001.19 | + | 850.479i | −0.432047 | + | 0.0918345i | ||||
\(442\) | −914.874 | − | 13713.4i | −0.0984528 | − | 1.47574i | ||||
\(443\) | 1559.93 | − | 7338.88i | 0.167301 | − | 0.787090i | −0.811836 | − | 0.583886i | \(-0.801531\pi\) |
0.979137 | − | 0.203203i | \(-0.0651352\pi\) | |||||||
\(444\) | −2543.68 | − | 1046.69i | −0.271887 | − | 0.111877i | ||||
\(445\) | −3128.90 | + | 2817.27i | −0.333312 | + | 0.300116i | ||||
\(446\) | −3947.09 | − | 3104.18i | −0.419058 | − | 0.329568i | ||||
\(447\) | −22428.6 | + | 9985.85i | −2.37323 | + | 1.05663i | ||||
\(448\) | 4542.89 | − | 6006.93i | 0.479088 | − | 0.633483i | ||||
\(449\) | −1212.75 | + | 1669.21i | −0.127468 | + | 0.175445i | −0.867981 | − | 0.496597i | \(-0.834583\pi\) |
0.740513 | + | 0.672042i | \(0.234583\pi\) | |||||||
\(450\) | −15933.8 | − | 19112.9i | −1.66917 | − | 2.00221i | ||||
\(451\) | −1148.89 | + | 1275.97i | −0.119954 | + | 0.133222i | ||||
\(452\) | −16714.1 | − | 1276.23i | −1.73930 | − | 0.132807i | ||||
\(453\) | 2822.31 | + | 1256.57i | 0.292723 | + | 0.130329i | ||||
\(454\) | 7084.13 | − | 3737.69i | 0.732323 | − | 0.386384i | ||||
\(455\) | −1890.11 | − | 17983.2i | −0.194746 | − | 1.85289i | ||||
\(456\) | −16864.2 | + | 12007.0i | −1.73188 | + | 1.23307i | ||||
\(457\) | −16265.8 | + | 5285.09i | −1.66495 | + | 0.540976i | −0.981901 | − | 0.189394i | \(-0.939348\pi\) |
−0.683052 | + | 0.730370i | \(0.739348\pi\) | |||||||
\(458\) | −606.873 | + | 15918.9i | −0.0619155 | + | 1.62411i | ||||
\(459\) | 2787.36 | − | 1609.28i | 0.283448 | − | 0.163649i | ||||
\(460\) | 14884.0 | − | 9168.74i | 1.50863 | − | 0.929337i | ||||
\(461\) | 7388.36 | + | 2400.62i | 0.746443 | + | 0.242534i | 0.657450 | − | 0.753498i | \(-0.271635\pi\) |
0.0889932 | + | 0.996032i | \(0.471635\pi\) | |||||||
\(462\) | 3186.93 | + | 1171.50i | 0.320929 | + | 0.117972i | ||||
\(463\) | 7849.49 | − | 5702.99i | 0.787898 | − | 0.572442i | −0.119441 | − | 0.992841i | \(-0.538110\pi\) |
0.907339 | + | 0.420400i | \(0.138110\pi\) | |||||||
\(464\) | 4172.56 | − | 2737.44i | 0.417471 | − | 0.273884i | ||||
\(465\) | −23609.6 | + | 12024.0i | −2.35456 | + | 1.19914i | ||||
\(466\) | 15131.3 | + | 3824.10i | 1.50417 | + | 0.380146i | ||||
\(467\) | 8412.75 | + | 11579.2i | 0.833610 | + | 1.14737i | 0.987240 | + | 0.159237i | \(0.0509034\pi\) |
−0.153631 | + | 0.988128i | \(0.549097\pi\) | |||||||
\(468\) | −13155.5 | − | 8996.46i | −1.29939 | − | 0.888593i | ||||
\(469\) | 1144.49 | − | 3522.37i | 0.112681 | − | 0.346798i | ||||
\(470\) | 6279.70 | + | 6103.16i | 0.616300 | + | 0.598974i | ||||
\(471\) | −8915.55 | − | 15442.2i | −0.872201 | − | 1.51070i | ||||
\(472\) | −7454.84 | + | 12630.8i | −0.726985 | + | 1.23173i | ||||
\(473\) | 1387.62 | + | 4270.65i | 0.134890 | + | 0.415148i | ||||
\(474\) | 19292.9 | + | 9486.25i | 1.86952 | + | 0.919236i | ||||
\(475\) | −32177.6 | + | 3382.00i | −3.10823 | + | 0.326688i | ||||
\(476\) | 2185.57 | + | 9010.98i | 0.210453 | + | 0.867684i | ||||
\(477\) | 2513.75 | − | 5645.98i | 0.241293 | − | 0.541953i | ||||
\(478\) | −3246.43 | + | 561.734i | −0.310644 | + | 0.0537513i | ||||
\(479\) | −8173.81 | − | 7359.73i | −0.779689 | − | 0.702035i | 0.179824 | − | 0.983699i | \(-0.442447\pi\) |
−0.959513 | + | 0.281664i | \(0.909114\pi\) | |||||||
\(480\) | 8085.32 | − | 26585.1i | 0.768839 | − | 2.52799i | ||||
\(481\) | −2227.53 | − | 1618.40i | −0.211157 | − | 0.153415i | ||||
\(482\) | −4056.68 | − | 6055.96i | −0.383354 | − | 0.572285i | ||||
\(483\) | 5050.86 | + | 11344.4i | 0.475822 | + | 1.06871i | ||||
\(484\) | −5953.16 | − | 7720.97i | −0.559087 | − | 0.725110i | ||||
\(485\) | 7173.16 | + | 7966.61i | 0.671581 | + | 0.745866i | ||||
\(486\) | −2172.93 | + | 15110.5i | −0.202811 | + | 1.41034i | ||||
\(487\) | 12422.3 | + | 2640.44i | 1.15587 | + | 0.245688i | 0.745675 | − | 0.666310i | \(-0.232127\pi\) |
0.410195 | + | 0.911998i | \(0.365461\pi\) | |||||||
\(488\) | 3702.91 | + | 1691.39i | 0.343489 | + | 0.156897i | ||||
\(489\) | 159.001 | + | 748.042i | 0.0147040 | + | 0.0691771i | ||||
\(490\) | −1945.87 | − | 6868.90i | −0.179399 | − | 0.633276i | ||||
\(491\) | 6759.58 | − | 11707.9i | 0.621295 | − | 1.07611i | −0.367950 | − | 0.929846i | \(-0.619940\pi\) |
0.989245 | − | 0.146269i | \(-0.0467264\pi\) | |||||||
\(492\) | −7224.30 | + | 6887.68i | −0.661985 | + | 0.631139i | ||||
\(493\) | −642.215 | + | 6110.27i | −0.0586692 | + | 0.558200i | ||||
\(494\) | −19238.5 | + | 7701.40i | −1.75219 | + | 0.701422i | ||||
\(495\) | 6824.08 | 0.619636 | ||||||||
\(496\) | −9591.09 | − | 5480.41i | −0.868251 | − | 0.496124i | ||||
\(497\) | −4064.92 | −0.366874 | ||||||||
\(498\) | −24402.8 | + | 9768.71i | −2.19581 | + | 0.879008i | ||||
\(499\) | 1916.43 | − | 18233.6i | 0.171926 | − | 1.63577i | −0.479846 | − | 0.877353i | \(-0.659307\pi\) |
0.651772 | − | 0.758415i | \(-0.274026\pi\) | |||||||
\(500\) | 17005.2 | − | 16212.8i | 1.52099 | − | 1.45012i | ||||
\(501\) | −4084.35 | + | 7074.30i | −0.364222 | + | 0.630851i | ||||
\(502\) | 1240.66 | + | 4379.51i | 0.110306 | + | 0.389377i | ||||
\(503\) | −1175.64 | − | 5530.97i | −0.104213 | − | 0.490286i | −0.999037 | − | 0.0438666i | \(-0.986032\pi\) |
0.894824 | − | 0.446419i | \(-0.147301\pi\) | |||||||
\(504\) | 9780.21 | + | 4467.34i | 0.864375 | + | 0.394824i | ||||
\(505\) | −8414.29 | − | 1788.51i | −0.741447 | − | 0.157599i | ||||
\(506\) | −467.715 | + | 3252.46i | −0.0410918 | + | 0.285750i | ||||
\(507\) | −8276.24 | − | 9191.69i | −0.724971 | − | 0.805162i | ||||
\(508\) | −6375.44 | − | 8268.66i | −0.556820 | − | 0.722170i | ||||
\(509\) | 0.162464 | + | 0.364901i | 1.41476e−5 | + | 3.17759e-5i | 0.913553 | − | 0.406721i | \(-0.133328\pi\) |
−0.913538 | + | 0.406753i | \(0.866661\pi\) | |||||||
\(510\) | 19039.5 | + | 28422.9i | 1.65311 | + | 2.46782i | ||||
\(511\) | −11999.4 | − | 8718.09i | −1.03879 | − | 0.754728i | ||||
\(512\) | 11116.7 | − | 3261.49i | 0.959555 | − | 0.281521i | ||||
\(513\) | −3606.41 | − | 3247.23i | −0.310384 | − | 0.279471i | ||||
\(514\) | 7852.51 | − | 1358.73i | 0.673851 | − | 0.116597i | ||||
\(515\) | −6633.37 | + | 14898.8i | −0.567575 | + | 1.27479i | ||||
\(516\) | 6153.14 | + | 25369.0i | 0.524956 | + | 2.16436i | ||||
\(517\) | −1636.98 | + | 172.054i | −0.139254 | + | 0.0146362i | ||||
\(518\) | 1666.95 | + | 819.636i | 0.141393 | + | 0.0695227i | ||||
\(519\) | −428.262 | − | 1318.06i | −0.0362209 | − | 0.111476i | ||||
\(520\) | 14138.1 | − | 23954.3i | 1.19230 | − | 2.02013i | ||||
\(521\) | 3126.44 | + | 5415.15i | 0.262901 | + | 0.455359i | 0.967012 | − | 0.254732i | \(-0.0819872\pi\) |
−0.704110 | + | 0.710091i | \(0.748654\pi\) | |||||||
\(522\) | 5109.13 | + | 4965.50i | 0.428392 | + | 0.416349i | ||||
\(523\) | 905.111 | − | 2785.65i | 0.0756745 | − | 0.232902i | −0.906063 | − | 0.423143i | \(-0.860927\pi\) |
0.981737 | + | 0.190241i | \(0.0609269\pi\) | |||||||
\(524\) | −19054.5 | − | 13030.5i | −1.58855 | − | 1.08633i | ||||
\(525\) | 18133.0 | + | 24958.0i | 1.50741 | + | 2.07477i | ||||
\(526\) | 6534.58 | + | 1651.47i | 0.541675 | + | 0.136896i | ||||
\(527\) | 12697.5 | − | 4871.32i | 1.04955 | − | 0.402653i | ||||
\(528\) | 2865.09 | + | 4367.14i | 0.236150 | + | 0.359953i | ||||
\(529\) | 120.936 | − | 87.8649i | 0.00993965 | − | 0.00722158i | ||||
\(530\) | 10124.0 | + | 3721.53i | 0.829731 | + | 0.305006i | ||||
\(531\) | −19914.2 | − | 6470.51i | −1.62750 | − | 0.528806i | ||||
\(532\) | 11903.3 | − | 7332.58i | 0.970065 | − | 0.597571i | ||||
\(533\) | −8652.95 | + | 4995.78i | −0.703191 | + | 0.405987i | ||||
\(534\) | 175.265 | − | 4597.39i | 0.0142031 | − | 0.372562i | ||||
\(535\) | 7477.35 | − | 2429.54i | 0.604251 | − | 0.196333i | ||||
\(536\) | 4641.05 | − | 3304.37i | 0.373998 | − | 0.266281i | ||||
\(537\) | −2551.25 | − | 24273.6i | −0.205018 | − | 1.95062i | ||||
\(538\) | −9997.98 | + | 5275.08i | −0.801196 | + | 0.422723i | ||||
\(539\) | 1225.91 | + | 545.811i | 0.0979662 | + | 0.0436174i | ||||
\(540\) | 6494.96 | + | 495.933i | 0.517590 | + | 0.0395214i | ||||
\(541\) | −1444.24 | + | 1604.00i | −0.114774 | + | 0.127470i | −0.797794 | − | 0.602930i | \(-0.794000\pi\) |
0.683020 | + | 0.730400i | \(0.260666\pi\) | |||||||
\(542\) | −8048.86 | − | 9654.79i | −0.637875 | − | 0.765145i | ||||
\(543\) | 5477.89 | − | 7539.67i | 0.432926 | − | 0.595872i | ||||
\(544\) | −5553.85 | + | 13137.5i | −0.437720 | + | 1.03542i | ||||
\(545\) | −24340.0 | + | 10836.9i | −1.91305 | + | 0.851743i | ||||
\(546\) | 15531.2 | + | 12214.4i | 1.21735 | + | 0.957381i | ||||
\(547\) | −14962.0 | + | 13471.8i | −1.16952 | + | 1.05304i | −0.171828 | + | 0.985127i | \(0.554967\pi\) |
−0.997691 | + | 0.0679129i | \(0.978366\pi\) | |||||||
\(548\) | 3206.45 | + | 1319.41i | 0.249951 | + | 0.102851i | ||||
\(549\) | −1208.36 | + | 5684.88i | −0.0939371 | + | 0.441939i | ||||
\(550\) | 543.388 | + | 8145.02i | 0.0421275 | + | 0.631463i | ||||
\(551\) | 9061.29 | − | 1926.04i | 0.700588 | − | 0.148915i | ||||
\(552\) | −4150.65 | + | 18645.9i | −0.320043 | + | 1.43772i | ||||
\(553\) | −12573.6 | − | 7259.40i | −0.966882 | − | 0.558230i | ||||
\(554\) | −6561.23 | − | 4129.14i | −0.503177 | − | 0.316662i | ||||
\(555\) | 6816.06 | + | 716.396i | 0.521307 | + | 0.0547916i | ||||
\(556\) | 5747.86 | − | 770.355i | 0.438423 | − | 0.0587596i | ||||
\(557\) | − | 6806.95i | − | 0.517809i | −0.965903 | − | 0.258905i | \(-0.916638\pi\) | ||
0.965903 | − | 0.258905i | \(-0.0833615\pi\) | |||||||
\(558\) | 4661.98 | − | 15065.8i | 0.353687 | − | 1.14298i | ||||
\(559\) | 26130.9i | 1.97713i | ||||||||
\(560\) | −6643.23 | + | 17550.3i | −0.501299 | + | 1.32435i | ||||
\(561\) | −6395.21 | − | 672.163i | −0.481294 | − | 0.0505860i | ||||
\(562\) | −5050.95 | + | 8025.98i | −0.379113 | + | 0.602412i | ||||
\(563\) | −11207.6 | − | 6470.71i | −0.838977 | − | 0.484383i | 0.0179395 | − | 0.999839i | \(-0.494289\pi\) |
−0.856916 | + | 0.515456i | \(0.827623\pi\) | |||||||
\(564\) | −9564.93 | + | 272.780i | −0.714107 | + | 0.0203654i | ||||
\(565\) | 40854.5 | − | 8683.89i | 3.04205 | − | 0.646609i | ||||
\(566\) | −2806.48 | + | 187.232i | −0.208419 | + | 0.0139045i | ||||
\(567\) | 1705.46 | − | 8023.57i | 0.126319 | − | 0.594282i | ||||
\(568\) | −5023.25 | − | 3723.75i | −0.371075 | − | 0.275079i | ||||
\(569\) | 2357.38 | − | 2122.59i | 0.173684 | − | 0.156386i | −0.577704 | − | 0.816246i | \(-0.696051\pi\) |
0.751388 | + | 0.659860i | \(0.229385\pi\) | |||||||
\(570\) | 31887.0 | − | 40545.6i | 2.34316 | − | 2.97942i | ||||
\(571\) | 14336.4 | − | 6382.98i | 1.05072 | − | 0.467809i | 0.192608 | − | 0.981276i | \(-0.438306\pi\) |
0.858110 | + | 0.513466i | \(0.171639\pi\) | |||||||
\(572\) | 1756.74 | + | 4924.38i | 0.128415 | + | 0.359963i | ||||
\(573\) | −4494.11 | + | 6185.61i | −0.327651 | + | 0.450973i | ||||
\(574\) | 5177.57 | − | 4316.36i | 0.376494 | − | 0.313870i | ||||
\(575\) | −19976.8 | + | 22186.5i | −1.44885 | + | 1.60911i | ||||
\(576\) | 7993.56 | + | 14479.9i | 0.578238 | + | 1.04745i | ||||
\(577\) | 23054.0 | + | 10264.3i | 1.66335 | + | 0.740570i | 0.999970 | − | 0.00771611i | \(-0.00245614\pi\) |
0.663377 | + | 0.748286i | \(0.269123\pi\) | |||||||
\(578\) | −1709.88 | − | 3240.77i | −0.123048 | − | 0.233215i | ||||
\(579\) | 3183.56 | + | 30289.5i | 0.228505 | + | 2.17408i | ||||
\(580\) | −8053.40 | + | 9473.95i | −0.576550 | + | 0.678249i | ||||
\(581\) | 16882.4 | − | 5485.44i | 1.20551 | − | 0.391694i | ||||
\(582\) | −11705.6 | − | 446.250i | −0.833697 | − | 0.0317829i | ||||
\(583\) | −1755.84 | + | 1013.73i | −0.124733 | + | 0.0720146i | ||||
\(584\) | −6841.98 | − | 21765.8i | −0.484800 | − | 1.54225i | ||||
\(585\) | 37767.3 | + | 12271.3i | 2.66921 | + | 0.867278i | ||||
\(586\) | −1731.45 | + | 4710.19i | −0.122057 | + | 0.332041i | ||||
\(587\) | −5351.72 | + | 3888.25i | −0.376302 | + | 0.273399i | −0.759819 | − | 0.650134i | \(-0.774713\pi\) |
0.383517 | + | 0.923534i | \(0.374713\pi\) | |||||||
\(588\) | 6864.43 | + | 3706.39i | 0.481436 | + | 0.259947i | ||||
\(589\) | −12901.6 | − | 15938.4i | −0.902548 | − | 1.11499i | ||||
\(590\) | 8954.23 | − | 35430.4i | 0.624813 | − | 2.47228i | ||||
\(591\) | 4376.73 | + | 6024.06i | 0.304627 | + | 0.419284i | ||||
\(592\) | 1309.10 | + | 2539.92i | 0.0908848 | + | 0.176334i | ||||
\(593\) | 5591.72 | − | 17209.5i | 0.387225 | − | 1.19176i | −0.547629 | − | 0.836722i | \(-0.684469\pi\) |
0.934853 | − | 0.355034i | \(-0.115531\pi\) | |||||||
\(594\) | −853.343 | + | 878.026i | −0.0589446 | + | 0.0606496i | ||||
\(595\) | −11551.7 | − | 20008.1i | −0.795919 | − | 1.37857i | ||||
\(596\) | 24471.1 | + | 7186.68i | 1.68184 | + | 0.493922i | ||||
\(597\) | −4248.67 | − | 13076.1i | −0.291267 | − | 0.896428i | ||||
\(598\) | −8437.24 | + | 17159.4i | −0.576964 | + | 1.17341i | ||||
\(599\) | −15857.1 | + | 1666.65i | −1.08164 | + | 0.113685i | −0.628542 | − | 0.777775i | \(-0.716348\pi\) |
−0.453099 | + | 0.891460i | \(0.649682\pi\) | |||||||
\(600\) | −455.250 | + | 47453.2i | −0.0309758 | + | 3.22878i | ||||
\(601\) | 2627.25 | − | 5900.91i | 0.178316 | − | 0.400504i | −0.802169 | − | 0.597097i | \(-0.796321\pi\) |
0.980485 | + | 0.196592i | \(0.0629876\pi\) | |||||||
\(602\) | −3005.73 | − | 17371.0i | −0.203496 | − | 1.17606i | ||||
\(603\) | 6044.50 | + | 5442.50i | 0.408211 | + | 0.367555i | ||||
\(604\) | −1388.42 | − | 2893.51i | −0.0935333 | − | 0.194926i | ||||
\(605\) | 19653.1 | + | 14278.8i | 1.32068 | + | 0.959532i | ||||
\(606\) | 7809.60 | − | 5231.39i | 0.523504 | − | 0.350678i | ||||
\(607\) | 757.390 | + | 1701.13i | 0.0506450 | + | 0.113750i | 0.937096 | − | 0.349072i | \(-0.113503\pi\) |
−0.886451 | + | 0.462823i | \(0.846837\pi\) | |||||||
\(608\) | 21426.8 | + | 1842.99i | 1.42923 | + | 0.122933i | ||||
\(609\) | −5910.30 | − | 6564.05i | −0.393263 | − | 0.436763i | ||||
\(610\) | −10040.1 | − | 1443.79i | −0.666411 | − | 0.0958320i | ||||
\(611\) | −9369.14 | − | 1991.47i | −0.620352 | − | 0.131860i | ||||
\(612\) | −20030.7 | − | 3664.19i | −1.32303 | − | 0.242020i | ||||
\(613\) | −4606.56 | − | 21672.1i | −0.303519 | − | 1.42794i | −0.820352 | − | 0.571858i | \(-0.806223\pi\) |
0.516834 | − | 0.856086i | \(-0.327111\pi\) | |||||||
\(614\) | 3795.02 | − | 1075.08i | 0.249437 | − | 0.0706625i | ||||
\(615\) | 12435.3 | − | 21538.6i | 0.815348 | − | 1.41222i | ||||
\(616\) | −1734.26 | − | 3071.50i | −0.113434 | − | 0.200900i | ||||
\(617\) | −407.440 | + | 3876.54i | −0.0265850 | + | 0.252939i | 0.973155 | + | 0.230149i | \(0.0739215\pi\) |
−0.999740 | + | 0.0227898i | \(0.992745\pi\) | |||||||
\(618\) | −6622.95 | − | 16544.5i | −0.431091 | − | 1.07689i | ||||
\(619\) | −202.378 | −0.0131410 | −0.00657049 | − | 0.999978i | \(-0.502091\pi\) | ||||
−0.00657049 | + | 0.999978i | \(0.502091\pi\) | |||||||
\(620\) | 26777.2 | + | 6368.12i | 1.73452 | + | 0.412500i | ||||
\(621\) | −4477.92 | −0.289360 | ||||||||
\(622\) | 2129.45 | + | 5319.49i | 0.137272 | + | 0.342913i | ||||
\(623\) | −324.769 | + | 3089.97i | −0.0208854 | + | 0.198711i | ||||
\(624\) | 8003.43 | + | 29321.7i | 0.513451 | + | 1.88110i | ||||
\(625\) | −12250.2 | + | 21218.0i | −0.784014 | + | 1.35795i | ||||
\(626\) | −18618.3 | + | 5274.34i | −1.18872 | + | 0.336749i | ||||
\(627\) | 2015.85 | + | 9483.84i | 0.128398 | + | 0.604064i | ||||
\(628\) | −3333.19 | + | 18221.2i | −0.211797 | + | 1.15781i | ||||
\(629\) | −3441.07 | − | 731.422i | −0.218131 | − | 0.0463652i | ||||
\(630\) | −26518.1 | − | 3813.39i | −1.67699 | − | 0.241157i | ||||
\(631\) | −4459.33 | − | 4952.59i | −0.281336 | − | 0.312455i | 0.585870 | − | 0.810405i | \(-0.300753\pi\) |
−0.867206 | + | 0.497950i | \(0.834086\pi\) | |||||||
\(632\) | −8887.85 | − | 20489.2i | −0.559398 | − | 1.28958i | ||||
\(633\) | −5067.50 | − | 11381.8i | −0.318191 | − | 0.714670i | ||||
\(634\) | 12768.5 | − | 8553.17i | 0.799844 | − | 0.535788i | ||||
\(635\) | 21047.2 | + | 15291.7i | 1.31533 | + | 0.955641i | ||||
\(636\) | −10626.4 | + | 5098.97i | −0.662522 | + | 0.317905i | ||||
\(637\) | 5803.21 | + | 5225.24i | 0.360960 | + | 0.325010i | ||||
\(638\) | −398.494 | − | 2303.02i | −0.0247281 | − | 0.142911i | ||||
\(639\) | 3630.97 | − | 8155.30i | 0.224787 | − | 0.504880i | ||||
\(640\) | −24286.7 | + | 15602.3i | −1.50003 | + | 0.963646i | ||||
\(641\) | 3213.54 | − | 337.757i | 0.198015 | − | 0.0208122i | −0.00500195 | − | 0.999987i | \(-0.501592\pi\) |
0.203016 | + | 0.979175i | \(0.434926\pi\) | |||||||
\(642\) | −3790.77 | + | 7709.57i | −0.233037 | + | 0.473945i | ||||
\(643\) | −796.276 | − | 2450.69i | −0.0488368 | − | 0.150304i | 0.923664 | − | 0.383203i | \(-0.125179\pi\) |
−0.972501 | + | 0.232899i | \(0.925179\pi\) | |||||||
\(644\) | 3635.04 | − | 12377.6i | 0.222423 | − | 0.757366i | ||||
\(645\) | −32521.9 | − | 56329.6i | −1.98535 | − | 3.43872i | ||||
\(646\) | −18453.3 | + | 18987.1i | −1.12390 | + | 1.15641i | ||||
\(647\) | −457.474 | + | 1407.96i | −0.0277978 | + | 0.0855527i | −0.963993 | − | 0.265928i | \(-0.914322\pi\) |
0.936195 | + | 0.351481i | \(0.114322\pi\) | |||||||
\(648\) | 9457.69 | − | 8352.85i | 0.573353 | − | 0.506375i | ||||
\(649\) | 4037.56 | + | 5557.23i | 0.244204 | + | 0.336117i | ||||
\(650\) | −11639.4 | + | 46055.1i | −0.702360 | + | 2.77912i | ||||
\(651\) | −7010.27 | + | 18251.9i | −0.422049 | + | 1.09884i | ||||
\(652\) | 377.452 | − | 699.061i | 0.0226720 | − | 0.0419898i | ||||
\(653\) | −21226.4 | + | 15421.9i | −1.27206 | + | 0.924204i | −0.999283 | − | 0.0378735i | \(-0.987942\pi\) |
−0.272775 | + | 0.962078i | \(0.587942\pi\) | |||||||
\(654\) | 10044.9 | − | 27326.0i | 0.600593 | − | 1.63384i | ||||
\(655\) | 54702.3 | + | 17773.8i | 3.26320 | + | 1.06028i | ||||
\(656\) | 10352.3 | − | 590.949i | 0.616142 | − | 0.0351718i | ||||
\(657\) | 28209.3 | − | 16286.6i | 1.67511 | − | 0.967126i | ||||
\(658\) | 6457.39 | + | 246.174i | 0.382576 | + | 0.0145849i | ||||
\(659\) | 8757.40 | − | 2845.45i | 0.517663 | − | 0.168199i | −0.0385217 | − | 0.999258i | \(-0.512265\pi\) |
0.556184 | + | 0.831059i | \(0.312265\pi\) | |||||||
\(660\) | −9915.74 | − | 8428.95i | −0.584803 | − | 0.497116i | ||||
\(661\) | 545.085 | + | 5186.14i | 0.0320747 | + | 0.305170i | 0.998784 | + | 0.0492941i | \(0.0156972\pi\) |
−0.966710 | + | 0.255876i | \(0.917636\pi\) | |||||||
\(662\) | −6511.37 | − | 12341.2i | −0.382284 | − | 0.724551i | ||||
\(663\) | −34185.1 | − | 15220.2i | −2.00247 | − | 0.891557i | ||||
\(664\) | 25887.6 | + | 8686.84i | 1.51300 | + | 0.507703i | ||||
\(665\) | −23309.1 | + | 25887.3i | −1.35923 | + | 1.50958i | ||||
\(666\) | −3133.41 | + | 2612.21i | −0.182308 | + | 0.151984i | ||||
\(667\) | 5024.34 | − | 6915.42i | 0.291669 | − | 0.401448i | ||||
\(668\) | 7992.58 | − | 2851.30i | 0.462937 | − | 0.165150i | ||||
\(669\) | −12490.0 | + | 5560.89i | −0.721809 | + | 0.321370i | ||||
\(670\) | −8775.37 | + | 11158.2i | −0.506003 | + | 0.643403i | ||||
\(671\) | 1416.89 | − | 1275.77i | 0.0815175 | − | 0.0733987i | ||||
\(672\) | −8693.20 | − | 18571.6i | −0.499029 | − | 1.06609i | ||||
\(673\) | −4633.32 | + | 21798.1i | −0.265381 | + | 1.24852i | 0.620351 | + | 0.784324i | \(0.286990\pi\) |
−0.885732 | + | 0.464196i | \(0.846343\pi\) | |||||||
\(674\) | −5873.54 | + | 391.848i | −0.335668 | + | 0.0223938i | ||||
\(675\) | −10881.3 | + | 2312.89i | −0.620476 | + | 0.131886i | ||||
\(676\) | 366.288 | + | 12843.8i | 0.0208402 | + | 0.730756i | ||||
\(677\) | 27043.3 | + | 15613.4i | 1.53524 | + | 0.886371i | 0.999108 | + | 0.0422376i | \(0.0134486\pi\) |
0.536133 | + | 0.844134i | \(0.319885\pi\) | |||||||
\(678\) | −24309.1 | + | 38627.2i | −1.37697 | + | 2.18801i | ||||
\(679\) | 7867.50 | + | 826.907i | 0.444664 | + | 0.0467361i | ||||
\(680\) | 4053.75 | − | 35307.2i | 0.228609 | − | 1.99113i | ||||
\(681\) | − | 21807.9i | − | 1.22714i | ||||||
\(682\) | −4142.35 | + | 3099.52i | −0.232579 | + | 0.174027i | ||||
\(683\) | − | 15274.0i | − | 0.855700i | −0.903850 | − | 0.427850i | \(-0.859271\pi\) | ||
0.903850 | − | 0.427850i | \(-0.140729\pi\) | |||||||
\(684\) | 4078.51 | + | 30431.0i | 0.227991 | + | 1.70111i | ||||
\(685\) | −8592.03 | − | 903.059i | −0.479248 | − | 0.0503710i | ||||
\(686\) | −16536.7 | − | 10407.0i | −0.920371 | − | 0.579212i | ||||
\(687\) | 37562.7 | + | 21686.8i | 2.08603 | + | 1.20437i | ||||
\(688\) | 12198.7 | − | 24219.8i | 0.675975 | − | 1.34211i | ||||
\(689\) | −11540.5 | + | 2453.00i | −0.638109 | + | 0.135634i | ||||
\(690\) | −3168.31 | − | 47490.9i | −0.174805 | − | 2.62022i | ||||
\(691\) | −859.668 | + | 4044.42i | −0.0473275 | + | 0.222658i | −0.995455 | − | 0.0952315i | \(-0.969641\pi\) |
0.948128 | + | 0.317890i | \(0.102974\pi\) | |||||||
\(692\) | −547.850 | + | 1331.40i | −0.0300956 | + | 0.0731389i | ||||
\(693\) | 3742.31 | − | 3369.59i | 0.205135 | − | 0.184705i | ||||
\(694\) | −21723.6 | − | 17084.5i | −1.18821 | − | 0.934463i | ||||
\(695\) | −13200.5 | + | 5877.26i | −0.720468 | + | 0.320773i | ||||
\(696\) | −1290.56 | − | 13525.8i | −0.0702851 | − | 0.736630i | ||||
\(697\) | −7503.69 | + | 10327.9i | −0.407780 | + | 0.561261i | ||||
\(698\) | −9076.80 | − | 10887.8i | −0.492209 | − | 0.590416i | ||||
\(699\) | 28433.5 | − | 31578.6i | 1.53856 | − | 1.70874i | ||||
\(700\) | 2439.96 | − | 31954.8i | 0.131746 | − | 1.72540i | ||||
\(701\) | −3618.14 | − | 1610.90i | −0.194944 | − | 0.0867945i | 0.306943 | − | 0.951728i | \(-0.400694\pi\) |
−0.501887 | + | 0.864933i | \(0.667361\pi\) | |||||||
\(702\) | −6301.66 | + | 3324.85i | −0.338805 | + | 0.178758i | ||||
\(703\) | 554.451 | + | 5275.25i | 0.0297461 | + | 0.283015i | ||||
\(704\) | 670.589 | − | 5384.33i | 0.0359003 | − | 0.288252i | ||||
\(705\) | 22675.4 | − | 7367.67i | 1.21135 | − | 0.393592i | ||||
\(706\) | 519.909 | − | 13637.7i | 0.0277153 | − | 0.727001i | ||||
\(707\) | −5497.51 | + | 3173.99i | −0.292440 | + | 0.168840i | ||||
\(708\) | 20944.1 | + | 33999.5i | 1.11176 | + | 1.80477i | ||||
\(709\) | 27111.4 | + | 8809.04i | 1.43610 | + | 0.466616i | 0.920678 | − | 0.390324i | \(-0.127637\pi\) |
0.515417 | + | 0.856939i | \(0.327637\pi\) | |||||||
\(710\) | 14623.5 | + | 5375.55i | 0.772973 | + | 0.284142i | ||||
\(711\) | 25795.6 | − | 18741.6i | 1.36064 | − | 0.988560i | ||||
\(712\) | −3231.97 | + | 3520.94i | −0.170117 | + | 0.185327i | ||||
\(713\) | −18687.7 | − | 2963.54i | −0.981572 | − | 0.155660i | ||||
\(714\) | 24475.9 | + | 6185.72i | 1.28289 | + | 0.324223i | ||||
\(715\) | −7657.25 | − | 10539.3i | −0.400511 | − | 0.551256i | ||||
\(716\) | −14312.6 | + | 20929.3i | −0.747047 | + | 1.09241i | ||||
\(717\) | −2771.99 | + | 8531.31i | −0.144382 | + | 0.444362i | ||||
\(718\) | 7902.11 | + | 7679.96i | 0.410730 | + | 0.399183i | ||||
\(719\) | −4096.52 | − | 7095.38i | −0.212482 | − | 0.368029i | 0.740009 | − | 0.672597i | \(-0.234821\pi\) |
−0.952491 | + | 0.304568i | \(0.901488\pi\) | |||||||
\(720\) | −29276.6 | − | 29004.8i | −1.51538 | − | 1.50131i | ||||
\(721\) | 3718.99 | + | 11445.9i | 0.192098 | + | 0.591217i | ||||
\(722\) | 18415.8 | + | 9055.00i | 0.949259 | + | 0.466748i | ||||
\(723\) | −19737.3 | + | 2074.47i | −1.01527 | + | 0.106709i | ||||
\(724\) | −9408.69 | + | 2282.04i | −0.482971 | + | 0.117143i | ||||
\(725\) | 8637.21 | − | 19399.5i | 0.442453 | − | 0.993765i | ||||
\(726\) | −26156.3 | + | 4525.87i | −1.33712 | + | 0.231364i | ||||
\(727\) | −18884.0 | − | 17003.2i | −0.963366 | − | 0.867419i | 0.0278575 | − | 0.999612i | \(-0.491132\pi\) |
−0.991224 | + | 0.132193i | \(0.957798\pi\) | |||||||
\(728\) | −4074.82 | − | 20117.6i | −0.207449 | − | 1.02419i | ||||
\(729\) | 21445.2 | + | 15580.9i | 1.08953 | + | 0.791590i | ||||
\(730\) | 31638.9 | + | 47231.7i | 1.60412 | + | 2.39469i | ||||
\(731\) | 13579.7 | + | 30500.5i | 0.687090 | + | 1.54323i | ||||
\(732\) | 8777.64 | − | 6767.88i | 0.443211 | − | 0.341733i | ||||
\(733\) | −18796.2 | − | 20875.3i | −0.947142 | − | 1.05191i | −0.998582 | − | 0.0532316i | \(-0.983048\pi\) |
0.0514403 | − | 0.998676i | \(-0.483619\pi\) | |||||||
\(734\) | 2777.88 | − | 19317.2i | 0.139691 | − | 0.971404i | ||||
\(735\) | −19013.1 | − | 4041.35i | −0.954159 | − | 0.202813i | ||||
\(736\) | 15830.7 | − | 11965.7i | 0.792838 | − | 0.599268i | ||||
\(737\) | −554.767 | − | 2609.97i | −0.0277274 | − | 0.130447i | ||||
\(738\) | 4034.91 | + | 14243.1i | 0.201256 | + | 0.710430i | ||||
\(739\) | −10145.5 | + | 17572.6i | −0.505019 | + | 0.874718i | 0.494964 | + | 0.868913i | \(0.335181\pi\) |
−0.999983 | + | 0.00580491i | \(0.998152\pi\) | |||||||
\(740\) | −4912.95 | − | 5153.06i | −0.244059 | − | 0.255987i | ||||
\(741\) | −5897.66 | + | 56112.5i | −0.292383 | + | 2.78184i | ||||
\(742\) | 7389.59 | − | 2958.14i | 0.365607 | − | 0.146357i | ||||
\(743\) | 26862.4 | 1.32636 | 0.663180 | − | 0.748460i | \(-0.269206\pi\) | ||||
0.663180 | + | 0.748460i | \(0.269206\pi\) | |||||||
\(744\) | −25383.0 | + | 16133.0i | −1.25079 | + | 0.794977i | ||||
\(745\) | −63548.9 | −3.12517 | ||||||||
\(746\) | 6909.00 | − | 2765.75i | 0.339084 | − | 0.135739i | ||||
\(747\) | −4074.94 | + | 38770.5i | −0.199591 | + | 1.89898i | ||||
\(748\) | 4609.61 | + | 4834.89i | 0.225326 | + | 0.236338i | ||||
\(749\) | 2900.91 | − | 5024.52i | 0.141518 | − | 0.245116i | ||||
\(750\) | −17436.0 | − | 61548.5i | −0.848895 | − | 2.99658i | ||||
\(751\) | −6360.39 | − | 29923.3i | −0.309047 | − | 1.45395i | −0.808954 | − | 0.587872i | \(-0.799966\pi\) |
0.499908 | − | 0.866079i | \(-0.333367\pi\) | |||||||
\(752\) | 7754.25 | + | 6219.63i | 0.376022 | + | 0.301605i | ||||
\(753\) | 12122.4 | + | 2576.71i | 0.586675 | + | 0.124702i | ||||
\(754\) | 1935.94 | − | 13462.4i | 0.0935052 | − | 0.650230i | ||||
\(755\) | 5350.84 | + | 5942.70i | 0.257930 | + | 0.286460i | ||||
\(756\) | 3806.70 | − | 2935.11i | 0.183133 | − | 0.141202i | ||||
\(757\) | 13718.1 | + | 30811.3i | 0.658642 | + | 1.47933i | 0.865472 | + | 0.500958i | \(0.167019\pi\) |
−0.206829 | + | 0.978377i | \(0.566314\pi\) | |||||||
\(758\) | −19826.3 | − | 29597.5i | −0.950033 | − | 1.41824i | ||||
\(759\) | 7237.90 | + | 5258.64i | 0.346138 | + | 0.251484i | ||||
\(760\) | −52519.0 | + | 10637.7i | −2.50666 | + | 0.507724i | ||||
\(761\) | −13946.9 | − | 12557.8i | −0.664355 | − | 0.598188i | 0.266386 | − | 0.963866i | \(-0.414170\pi\) |
−0.930741 | + | 0.365678i | \(0.880837\pi\) | |||||||
\(762\) | −28011.7 | + | 4846.90i | −1.33170 | + | 0.230426i | ||||
\(763\) | −7996.97 | + | 17961.5i | −0.379436 | + | 0.852228i | ||||
\(764\) | 7718.96 | − | 1872.20i | 0.365527 | − | 0.0886568i | ||||
\(765\) | 50460.0 | − | 5303.56i | 2.38482 | − | 0.250654i | ||||
\(766\) | 32516.1 | + | 15988.1i | 1.53375 | + | 0.754142i | ||||
\(767\) | 12352.3 | + | 38016.5i | 0.581508 | + | 1.78970i | ||||
\(768\) | 6270.19 | − | 30913.5i | 0.294604 | − | 1.45247i | ||||
\(769\) | −6777.35 | − | 11738.7i | −0.317812 | − | 0.550467i | 0.662219 | − | 0.749310i | \(-0.269615\pi\) |
−0.980031 | + | 0.198844i | \(0.936281\pi\) | |||||||
\(770\) | 6302.60 | + | 6125.42i | 0.294974 | + | 0.286682i | ||||
\(771\) | 6704.94 | − | 20635.7i | 0.313194 | − | 0.963911i | ||||
\(772\) | 17859.8 | − | 26116.4i | 0.832627 | − | 1.21755i | ||||
\(773\) | 10344.3 | + | 14237.7i | 0.481318 | + | 0.662478i | 0.978758 | − | 0.205021i | \(-0.0657263\pi\) |
−0.497439 | + | 0.867499i | \(0.665726\pi\) | |||||||
\(774\) | 37535.7 | + | 9486.29i | 1.74314 | + | 0.440539i | ||||
\(775\) | −46941.7 | + | 2451.03i | −2.17573 | + | 0.113605i | ||||
\(776\) | 8964.81 | + | 8229.04i | 0.414714 | + | 0.380677i | ||||
\(777\) | 4091.65 | − | 2972.76i | 0.188915 | − | 0.137255i | ||||
\(778\) | 1418.34 | + | 521.377i | 0.0653599 | + | 0.0240260i | ||||
\(779\) | 18306.4 | + | 5948.10i | 0.841968 | + | 0.273572i | ||||
\(780\) | −39720.6 | − | 64480.2i | −1.82337 | − | 2.95995i | ||||
\(781\) | −2536.21 | + | 1464.28i | −0.116201 | + | 0.0670884i | ||||
\(782\) | −930.711 | + | 24413.5i | −0.0425603 | + | 1.11640i | ||||
\(783\) | 3029.21 | − | 984.249i | 0.138257 | − | 0.0449223i | ||||
\(784\) | −2939.49 | − | 7552.21i | −0.133905 | − | 0.344033i | ||||
\(785\) | −4824.47 | − | 45901.7i | −0.219354 | − | 2.08701i | ||||
\(786\) | −55587.6 | + | 29328.8i | −2.52257 | + | 1.33095i | ||||
\(787\) | 10062.3 | + | 4480.04i | 0.455760 | + | 0.202918i | 0.621759 | − | 0.783208i | \(-0.286418\pi\) |
−0.165999 | + | 0.986126i | \(0.553085\pi\) | |||||||
\(788\) | 588.929 | − | 7712.87i | 0.0266240 | − | 0.348680i | ||||
\(789\) | 12279.2 | − | 13637.5i | 0.554058 | − | 0.615344i | ||||
\(790\) | 35633.6 | + | 42743.4i | 1.60480 | + | 1.92499i | ||||
\(791\) | 18116.6 | − | 24935.3i | 0.814351 | − | 1.12086i | ||||
\(792\) | 7711.37 | − | 735.775i | 0.345974 | − | 0.0330109i | ||||
\(793\) | 10135.8 | − | 4512.74i | 0.453887 | − | 0.202083i | ||||
\(794\) | −14852.0 | − | 11680.3i | −0.663826 | − | 0.522065i | ||||
\(795\) | 21824.5 | − | 19650.9i | 0.973631 | − | 0.876661i | ||||
\(796\) | −5435.07 | + | 13208.4i | −0.242011 | + | 0.588141i | ||||
\(797\) | 5114.23 | − | 24060.5i | 0.227296 | − | 1.06935i | −0.705435 | − | 0.708774i | \(-0.749248\pi\) |
0.932732 | − | 0.360571i | \(-0.117418\pi\) | |||||||
\(798\) | −2533.82 | − | 37980.3i | −0.112401 | − | 1.68482i | ||||
\(799\) | −11970.8 | + | 2544.47i | −0.530032 | + | 0.112662i | ||||
\(800\) | 32288.1 | − | 37253.2i | 1.42695 | − | 1.64638i | ||||
\(801\) | −5909.20 | − | 3411.68i | −0.260663 | − | 0.150494i | ||||
\(802\) | −15319.7 | − | 9641.08i | −0.674512 | − | 0.424487i | ||||
\(803\) | −10627.2 | − | 1116.97i | −0.467032 | − | 0.0490870i | ||||
\(804\) | −2060.53 | − | 15374.3i | −0.0903847 | − | 0.674389i | ||||
\(805\) | 32143.2i | 1.40733i | ||||||||
\(806\) | −28499.2 | + | 9705.09i | −1.24546 | + | 0.424128i | ||||
\(807\) | 30778.0i | 1.34255i | ||||||||
\(808\) | −9701.18 | − | 1113.83i | −0.422384 | − | 0.0484955i | ||||
\(809\) | −38835.4 | − | 4081.76i | −1.68774 | − | 0.177388i | −0.788555 | − | 0.614964i | \(-0.789170\pi\) |
−0.899181 | + | 0.437576i | \(0.855837\pi\) | |||||||
\(810\) | −16746.0 | + | 26609.4i | −0.726411 | + | 1.15427i | ||||
\(811\) | −9188.51 | − | 5304.99i | −0.397845 | − | 0.229696i | 0.287709 | − | 0.957718i | \(-0.407107\pi\) |
−0.685554 | + | 0.728022i | \(0.740440\pi\) | |||||||
\(812\) | 261.577 | + | 9172.10i | 0.0113049 | + | 0.396401i | ||||
\(813\) | −33475.7 | + | 7115.48i | −1.44409 | + | 0.306950i | ||||
\(814\) | 1335.31 | − | 89.0838i | 0.0574969 | − | 0.00383586i | ||||
\(815\) | −411.564 | + | 1936.25i | −0.0176889 | + | 0.0832197i | ||||
\(816\) | 24579.7 | + | 30065.7i | 1.05449 | + | 1.28984i | ||||
\(817\) | 37410.1 | − | 33684.2i | 1.60198 | − | 1.44243i | ||||
\(818\) | −21897.5 | + | 27843.5i | −0.935974 | + | 1.19013i | ||||
\(819\) | 26770.9 | − | 11919.2i | 1.14219 | − | 0.508534i | ||||
\(820\) | −24334.3 | + | 8681.13i | −1.03633 | + | 0.369705i | ||||
\(821\) | −16159.0 | + | 22241.0i | −0.686912 | + | 0.945453i | −0.999991 | − | 0.00427417i | \(-0.998639\pi\) |
0.313079 | + | 0.949727i | \(0.398639\pi\) | |||||||
\(822\) | 7251.12 | − | 6045.01i | 0.307679 | − | 0.256501i | ||||
\(823\) | −670.166 | + | 744.295i | −0.0283846 | + | 0.0315243i | −0.757170 | − | 0.653218i | \(-0.773419\pi\) |
0.728785 | + | 0.684742i | \(0.240085\pi\) | |||||||
\(824\) | −5889.47 | + | 17551.2i | −0.248992 | + | 0.742020i | ||||
\(825\) | 20304.1 | + | 9039.99i | 0.856848 | + | 0.381493i | ||||
\(826\) | −12584.3 | − | 23851.4i | −0.530103 | − | 1.00472i | ||||
\(827\) | −1363.29 | − | 12970.8i | −0.0573231 | − | 0.545393i | −0.985067 | − | 0.172174i | \(-0.944921\pi\) |
0.927743 | − | 0.373219i | \(-0.121746\pi\) | |||||||
\(828\) | 21585.7 | + | 18349.1i | 0.905983 | + | 0.770137i | ||||
\(829\) | −19994.1 | + | 6496.49i | −0.837666 | + | 0.272174i | −0.696271 | − | 0.717779i | \(-0.745159\pi\) |
−0.141395 | + | 0.989953i | \(0.545159\pi\) | |||||||
\(830\) | −67988.6 | − | 2591.92i | −2.84328 | − | 0.108394i | ||||
\(831\) | −18279.5 | + | 10553.7i | −0.763067 | + | 0.440557i | ||||
\(832\) | 13393.7 | − | 28593.3i | 0.558103 | − | 1.19146i | ||||
\(833\) | 9489.08 | + | 3083.19i | 0.394690 | + | 0.128243i | ||||
\(834\) | 5447.76 | − | 14820.0i | 0.226188 | − | 0.615317i | ||||
\(835\) | −17106.0 | + | 12428.2i | −0.708953 | + | 0.515085i | ||||
\(836\) | 4785.42 | − | 8862.85i | 0.197975 | − | 0.366660i | ||||
\(837\) | −4984.40 | − | 4986.32i | −0.205838 | − | 0.205917i | ||||
\(838\) | 7633.39 | − | 30204.0i | 0.314667 | − | 1.24508i | ||||
\(839\) | −1186.51 | − | 1633.09i | −0.0488235 | − | 0.0671998i | 0.783907 | − | 0.620878i | \(-0.213224\pi\) |
−0.832731 | + | 0.553678i | \(0.813224\pi\) | |||||||
\(840\) | 33821.9 | + | 38295.6i | 1.38925 | + | 1.57300i | ||||
\(841\) | 5657.78 | − | 17412.9i | 0.231981 | − | 0.713963i | ||||
\(842\) | 9674.10 | − | 9953.93i | 0.395952 | − | 0.407405i | ||||
\(843\) | 12909.7 | + | 22360.3i | 0.527443 | + | 0.913557i | ||||
\(844\) | −3647.01 | + | 12418.3i | −0.148739 | + | 0.506465i | ||||
\(845\) | −9893.30 | − | 30448.4i | −0.402769 | − | 1.23960i | ||||
\(846\) | −6261.93 | + | 12735.3i | −0.254479 | + | 0.517553i | ||||
\(847\) | 17828.3 | − | 1873.83i | 0.723245 | − | 0.0760161i | ||||
\(848\) | 11841.6 | + | 3113.85i | 0.479531 | + | 0.126097i | ||||
\(849\) | −3114.85 | + | 6996.07i | −0.125915 | + | 0.282809i | ||||
\(850\) | 10348.2 | + | 59805.2i | 0.417576 | + | 2.41330i | ||||
\(851\) | 3637.28 | + | 3275.02i | 0.146515 | + | 0.131923i | ||||
\(852\) | −15349.2 | + | 7365.18i | −0.617202 | + | 0.296158i | ||||
\(853\) | 3319.68 | + | 2411.89i | 0.133252 | + | 0.0968129i | 0.652414 | − | 0.757862i | \(-0.273756\pi\) |
−0.519163 | + | 0.854675i | \(0.673756\pi\) | |||||||
\(854\) | −6218.87 | + | 4165.81i | −0.249187 | + | 0.166922i | ||||
\(855\) | −31116.1 | − | 69887.9i | −1.24462 | − | 2.79546i | ||||
\(856\) | 8187.63 | − | 3551.65i | 0.326925 | − | 0.141814i | ||||
\(857\) | 20066.1 | + | 22285.7i | 0.799820 | + | 0.888290i | 0.995728 | − | 0.0923318i | \(-0.0294320\pi\) |
−0.195908 | + | 0.980622i | \(0.562765\pi\) | |||||||
\(858\) | 14090.2 | + | 2026.22i | 0.560644 | + | 0.0806224i | ||||
\(859\) | −17143.7 | − | 3644.00i | −0.680948 | − | 0.144740i | −0.145564 | − | 0.989349i | \(-0.546500\pi\) |
−0.535384 | + | 0.844609i | \(0.679833\pi\) | |||||||
\(860\) | −12158.7 | + | 66466.9i | −0.482104 | + | 2.63547i | ||||
\(861\) | −3815.81 | − | 17952.0i | −0.151037 | − | 0.710572i | ||||
\(862\) | 323.621 | − | 91.6777i | 0.0127872 | − | 0.00362246i | ||||
\(863\) | 2418.05 | − | 4188.18i | 0.0953780 | − | 0.165200i | −0.814388 | − | 0.580320i | \(-0.802927\pi\) |
0.909766 | + | 0.415121i | \(0.136261\pi\) | |||||||
\(864\) | 7392.93 | − | 139.873i | 0.291102 | − | 0.00550763i | ||||
\(865\) | 374.972 | − | 3567.62i | 0.0147392 | − | 0.140234i | ||||
\(866\) | 3841.15 | + | 9595.42i | 0.150725 | + | 0.376519i | ||||
\(867\) | −9976.44 | −0.390793 | ||||||||
\(868\) | 17829.0 | − | 9729.79i | 0.697185 | − | 0.380473i | ||||
\(869\) | −10460.0 | −0.408323 | ||||||||
\(870\) | 12581.8 | + | 31430.1i | 0.490303 | + | 1.22480i | ||||
\(871\) | 1623.05 | − | 15442.3i | 0.0631400 | − | 0.600737i | ||||
\(872\) | −26336.3 | + | 14870.2i | −1.02277 | + | 0.577489i | ||||
\(873\) | −8686.61 | + | 15045.6i | −0.336767 | + | 0.583297i | ||||
\(874\) | 35442.3 | − | 10040.4i | 1.37169 | − | 0.388582i | ||||
\(875\) | 8982.00 | + | 42257.0i | 0.347025 | + | 1.63263i | ||||
\(876\) | −61106.4 | − | 11178.1i | −2.35684 | − | 0.431134i | ||||
\(877\) | 17984.6 | + | 3822.75i | 0.692472 | + | 0.147189i | 0.540687 | − | 0.841224i | \(-0.318164\pi\) |
0.151785 | + | 0.988414i | \(0.451498\pi\) | |||||||
\(878\) | −5774.72 | − | 830.424i | −0.221967 | − | 0.0319196i | ||||
\(879\) | 9142.60 | + | 10153.9i | 0.350822 | + | 0.389627i | ||||
\(880\) | 2177.16 | + | 13343.2i | 0.0834002 | + | 0.511134i | ||||
\(881\) | 11979.7 | + | 26906.7i | 0.458121 | + | 1.02896i | 0.983963 | + | 0.178375i | \(0.0570839\pi\) |
−0.525841 | + | 0.850583i | \(0.676249\pi\) | |||||||
\(882\) | 9612.53 | − | 6439.10i | 0.366973 | − | 0.245823i | ||||
\(883\) | 6242.35 | + | 4535.33i | 0.237907 | + | 0.172849i | 0.700350 | − | 0.713799i | \(-0.253027\pi\) |
−0.462443 | + | 0.886649i | \(0.653027\pi\) | |||||||
\(884\) | 16817.2 | + | 35047.5i | 0.639845 | + | 1.33346i | ||||
\(885\) | −73942.1 | − | 66577.8i | −2.80852 | − | 2.52880i | ||||
\(886\) | 3618.18 | + | 20910.5i | 0.137195 | + | 0.792892i | ||||
\(887\) | 17668.9 | − | 39685.0i | 0.668843 | − | 1.50225i | −0.185558 | − | 0.982633i | \(-0.559409\pi\) |
0.854402 | − | 0.519613i | \(-0.173924\pi\) | |||||||
\(888\) | 7779.54 | + | 74.6343i | 0.293991 | + | 0.00282046i | ||||
\(889\) | 19093.0 | − | 2006.75i | 0.720312 | − | 0.0757078i | ||||
\(890\) | 5254.61 | − | 10686.7i | 0.197905 | − | 0.402493i | ||||
\(891\) | −1826.20 | − | 5620.46i | −0.0686644 | − | 0.211327i | ||||
\(892\) | 13627.4 | + | 4002.10i | 0.511525 | + | 0.150224i | ||||
\(893\) | 9226.30 | + | 15980.4i | 0.345741 | + | 0.598840i | ||||
\(894\) | 48397.3 | − | 49797.2i | 1.81057 | − | 1.86294i | ||||
\(895\) | 19522.6 | − | 60084.5i | 0.729128 | − | 2.24402i | ||||
\(896\) | −5614.72 | + | 20548.6i | −0.209347 | + | 0.766160i | ||||
\(897\) | 30601.3 | + | 42119.0i | 1.13907 | + | 1.56780i | ||||
\(898\) | 1429.90 | − | 5657.88i | 0.0531363 | − | 0.210251i | ||||
\(899\) | 13293.2 | − | 2102.81i | 0.493162 | − | 0.0780117i | ||||
\(900\) | 61930.4 | + | 33438.8i | 2.29372 | + | 1.23847i | ||||
\(901\) | −12195.5 | + | 8860.54i | −0.450933 | + | 0.327622i | ||||
\(902\) | 1675.56 | − | 4558.17i | 0.0618517 | − | 0.168260i | ||||
\(903\) | −45649.4 | − | 14832.4i | −1.68230 | − | 0.546612i | ||||
\(904\) | 45230.2 | − | 14217.9i | 1.66409 | − | 0.523099i | ||||
\(905\) | 20891.1 | − | 12061.5i | 0.767342 | − | 0.443025i | ||||
\(906\) | −8731.80 | − | 332.881i | −0.320193 | − | 0.0122067i | ||||
\(907\) | 21300.4 | − | 6920.93i | 0.779790 | − | 0.253369i | 0.108039 | − | 0.994147i | \(-0.465543\pi\) |
0.671750 | + | 0.740778i | \(0.265543\pi\) | |||||||
\(908\) | −14672.9 | + | 17261.1i | −0.536276 | + | 0.630870i | ||||
\(909\) | −1457.23 | − | 13864.6i | −0.0531719 | − | 0.505897i | ||||
\(910\) | 23866.2 | + | 45234.2i | 0.869405 | + | 1.64780i | ||||
\(911\) | −27629.8 | − | 12301.6i | −1.00485 | − | 0.447387i | −0.162723 | − | 0.986672i | \(-0.552028\pi\) |
−0.842123 | + | 0.539285i | \(0.818695\pi\) | |||||||
\(912\) | 31661.4 | − | 49255.5i | 1.14958 | − | 1.78839i | ||||
\(913\) | 8557.41 | − | 9503.97i | 0.310196 | − | 0.344508i | ||||
\(914\) | 37156.1 | − | 30975.8i | 1.34466 | − | 1.12099i | ||||
\(915\) | −16233.0 | + | 22342.8i | −0.586498 | + | 0.807245i | ||||
\(916\) | −15139.7 | − | 42438.5i | −0.546101 | − | 1.53079i | ||||
\(917\) | 38775.0 | − | 17263.7i | 1.39636 | − | 0.621699i | ||||
\(918\) | −5627.57 | + | 7155.68i | −0.202328 | + | 0.257268i | ||||
\(919\) | −37081.1 | + | 33388.0i | −1.33100 | + | 1.19844i | −0.367726 | + | 0.929934i | \(0.619864\pi\) |
−0.963278 | + | 0.268507i | \(0.913470\pi\) | |||||||
\(920\) | −29445.4 | + | 39721.2i | −1.05520 | + | 1.42344i | ||||
\(921\) | 2232.82 | − | 10504.6i | 0.0798847 | − | 0.375828i | ||||
\(922\) | −21924.1 | + | 1462.65i | −0.783116 | + | 0.0522449i | ||||
\(923\) | −16669.6 | + | 3543.22i | −0.594459 | + | 0.126356i | ||||
\(924\) | −9599.82 | + | 273.775i | −0.341787 | + | 0.00974732i | ||||
\(925\) | 10530.1 | + | 6079.58i | 0.374301 | + | 0.216103i | ||||
\(926\) | −14616.8 | + | 23226.2i | −0.518725 | + | 0.824256i | ||||
\(927\) | −26285.5 | − | 2762.71i | −0.931314 | − | 0.0978850i | ||||
\(928\) | −8079.04 | + | 11574.1i | −0.285784 | + | 0.409417i | ||||
\(929\) | 2354.45i | 0.0831505i | 0.999135 | + | 0.0415753i | \(0.0132376\pi\) | ||||
−0.999135 | + | 0.0415753i | \(0.986762\pi\) | |||||||
\(930\) | 49356.1 | − | 56390.5i | 1.74027 | − | 1.98830i | ||||
\(931\) | − | 15043.8i | − | 0.529581i | ||||||
\(932\) | −43752.2 | + | 5863.88i | −1.53772 | + | 0.206092i | ||||
\(933\) | 15515.2 | + | 1630.71i | 0.544422 | + | 0.0572210i | ||||
\(934\) | −34262.1 | − | 21562.0i | −1.20031 | − | 0.755385i | ||||
\(935\) | −14414.8 | − | 8322.37i | −0.504185 | − | 0.291092i | ||||
\(936\) | 44001.1 | + | 9794.82i | 1.53656 | + | 0.342045i | ||||
\(937\) | 678.722 | − | 144.267i | 0.0236637 | − | 0.00502988i | −0.196065 | − | 0.980591i | \(-0.562816\pi\) |
0.219728 | + | 0.975561i | \(0.429483\pi\) | |||||||
\(938\) | 697.312 | + | 10452.3i | 0.0242730 | + | 0.363836i | ||||
\(939\) | −10954.2 | + | 51535.3i | −0.380698 | + | 1.79104i | ||||
\(940\) | −22904.9 | − | 9425.02i | −0.794761 | − | 0.327032i | ||||
\(941\) | 20188.3 | − | 18177.7i | 0.699384 | − | 0.629728i | −0.240728 | − | 0.970593i | \(-0.577386\pi\) |
0.940113 | + | 0.340864i | \(0.110720\pi\) | |||||||
\(942\) | 39643.0 | + | 31177.2i | 1.37117 | + | 1.07835i | ||||
\(943\) | 16225.6 | − | 7224.10i | 0.560316 | − | 0.249469i | ||||
\(944\) | 6298.37 | − | 41002.6i | 0.217155 | − | 1.41369i | ||||
\(945\) | −7039.95 | + | 9689.66i | −0.242338 | + | 0.333550i | ||||
\(946\) | −8132.80 | − | 9755.48i | −0.279514 | − | 0.335283i | ||||
\(947\) | −25660.6 | + | 28499.0i | −0.880526 | + | 0.977924i | −0.999889 | − | 0.0149272i | \(-0.995248\pi\) |
0.119362 | + | 0.992851i | \(0.461915\pi\) | |||||||
\(948\) | −60631.6 | − | 4629.63i | −2.07724 | − | 0.158611i | ||||
\(949\) | −56806.9 | − | 25292.1i | −1.94313 | − | 0.865137i | ||||
\(950\) | 80938.5 | − | 42704.3i | 2.76420 | − | 1.45843i | ||||
\(951\) | −4373.85 | − | 41614.4i | −0.149140 | − | 1.41897i | ||||
\(952\) | −15210.9 | − | 21364.1i | −0.517846 | − | 0.727325i | ||||
\(953\) | 26459.3 | − | 8597.16i | 0.899373 | − | 0.292224i | 0.177395 | − | 0.984140i | \(-0.443233\pi\) |
0.721978 | + | 0.691916i | \(0.243233\pi\) | |||||||
\(954\) | −665.922 | + | 17467.8i | −0.0225996 | + | 0.592811i | ||||
\(955\) | −17139.3 | + | 9895.35i | −0.580747 | + | 0.335294i | ||||
\(956\) | 7934.15 | − | 4887.53i | 0.268419 | − | 0.165349i | ||||
\(957\) | −6052.11 | − | 1966.45i | −0.204427 | − | 0.0664225i | ||||
\(958\) | 29199.4 | + | 10733.6i | 0.984749 | + | 0.361990i | ||||
\(959\) | −5157.76 | + | 3747.33i | −0.173674 | + | 0.126181i | ||||
\(960\) | 6714.24 | + | 78307.3i | 0.225730 | + | 2.63266i | ||||
\(961\) | −17501.4 | − | 24108.2i | −0.587473 | − | 0.809244i | ||||
\(962\) | 7550.35 | + | 1908.18i | 0.253049 | + | 0.0639523i | ||||
\(963\) | 7489.29 | + | 10308.1i | 0.250612 | + | 0.344937i | ||||
\(964\) | 17018.0 | + | 11637.8i | 0.568581 | + | 0.388826i | ||||
\(965\) | −24361.1 | + | 74975.8i | −0.812655 | + | 2.50110i | ||||
\(966\) | −25187.6 | − | 24479.5i | −0.838920 | − | 0.815336i | ||||
\(967\) | −13267.7 | − | 22980.4i | −0.441221 | − | 0.764218i | 0.556559 | − | 0.830808i | \(-0.312121\pi\) |
−0.997780 | + | 0.0665903i | \(0.978788\pi\) | |||||||
\(968\) | 23748.0 | + | 14016.4i | 0.788523 | + | 0.465397i | ||||
\(969\) | 22276.7 | + | 68560.6i | 0.738524 | + | 2.27294i | ||||
\(970\) | −27209.8 | − | 13379.0i | −0.900673 | − | 0.442859i | ||||
\(971\) | 35031.4 | − | 3681.95i | 1.15779 | − | 0.121688i | 0.493899 | − | 0.869519i | \(-0.335571\pi\) |
0.663889 | + | 0.747831i | \(0.268905\pi\) | |||||||
\(972\) | −10177.7 | − | 41961.8i | −0.335852 | − | 1.38470i | ||||
\(973\) | −4337.08 | + | 9741.23i | −0.142899 | + | 0.320955i | ||||
\(974\) | −35394.6 | + | 6124.39i | −1.16439 | + | 0.201476i | ||||
\(975\) | 96115.6 | + | 86542.9i | 3.15709 | + | 2.84266i | ||||
\(976\) | −11501.2 | − | 548.997i | −0.377197 | − | 0.0180051i | ||||
\(977\) | 14051.7 | + | 10209.1i | 0.460135 | + | 0.334308i | 0.793584 | − | 0.608460i | \(-0.208212\pi\) |
−0.333449 | + | 0.942768i | \(0.608212\pi\) | |||||||
\(978\) | −1203.82 | − | 1797.11i | −0.0393599 | − | 0.0587578i | ||||
\(979\) | 910.450 | + | 2044.90i | 0.0297223 | + | 0.0667573i | ||||
\(980\) | 12329.8 | + | 15991.2i | 0.401901 | + | 0.521247i | ||||
\(981\) | −28892.2 | − | 32088.1i | −0.940324 | − | 1.04434i | ||||
\(982\) | −5442.76 | + | 37848.6i | −0.176869 | + | 1.22994i | ||||
\(983\) | 12464.1 | + | 2649.32i | 0.404417 | + | 0.0859616i | 0.405629 | − | 0.914038i | \(-0.367052\pi\) |
−0.00121185 | + | 0.999999i | \(0.500386\pi\) | |||||||
\(984\) | 11729.9 | − | 25679.8i | 0.380015 | − | 0.831955i | ||||
\(985\) | 4007.26 | + | 18852.7i | 0.129626 | + | 0.609843i | ||||
\(986\) | −4736.49 | − | 16719.7i | −0.152982 | − | 0.540024i | ||||
\(987\) | 8797.12 | − | 15237.1i | 0.283703 | − | 0.491389i | ||||
\(988\) | 42422.1 | − | 40445.4i | 1.36602 | − | 1.30237i | ||||
\(989\) | 4855.40 | − | 46196.1i | 0.156110 | − | 1.48529i | ||||
\(990\) | −17919.0 | + | 7173.17i | −0.575255 | + | 0.230281i | ||||
\(991\) | −14529.5 | −0.465736 | −0.232868 | − | 0.972508i | \(-0.574811\pi\) | ||||
−0.232868 | + | 0.972508i | \(0.574811\pi\) | |||||||
\(992\) | 30945.5 | + | 4308.99i | 0.990444 | + | 0.137914i | ||||
\(993\) | −37991.2 | −1.21411 | ||||||||
\(994\) | 10673.8 | − | 4272.86i | 0.340597 | − | 0.136345i | ||||
\(995\) | 3719.99 | − | 35393.3i | 0.118524 | − | 1.12768i | ||||
\(996\) | 53809.5 | − | 51302.3i | 1.71187 | − | 1.63210i | ||||
\(997\) | −19780.6 | + | 34260.9i | −0.628341 | + | 1.08832i | 0.359543 | + | 0.933128i | \(0.382933\pi\) |
−0.987885 | + | 0.155191i | \(0.950401\pi\) | |||||||
\(998\) | 14134.1 | + | 49893.1i | 0.448304 | + | 1.58250i | ||||
\(999\) | 379.179 | + | 1783.90i | 0.0120087 | + | 0.0564965i |
(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 | 124.4.p.a.3.6 | ✓ | 368 | |
4.3 | odd | 2 | inner | 124.4.p.a.3.13 | yes | 368 | |
31.21 | odd | 30 | inner | 124.4.p.a.83.13 | yes | 368 | |
124.83 | even | 30 | inner | 124.4.p.a.83.6 | yes | 368 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
124.4.p.a.3.6 | ✓ | 368 | 1.1 | even | 1 | trivial | |
124.4.p.a.3.13 | yes | 368 | 4.3 | odd | 2 | inner | |
124.4.p.a.83.6 | yes | 368 | 124.83 | even | 30 | inner | |
124.4.p.a.83.13 | yes | 368 | 31.21 | odd | 30 | inner |