Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [225,4,Mod(46,225)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(225, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 6]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("225.46");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 225 = 3^{2} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 225.h (of order \(5\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(13.2754297513\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{5})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 181.3 | ||
Character | \(\chi\) | \(=\) | 225.181 |
Dual form | 225.4.h.d.46.3 |
$q$-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 \(\left(\mathbb{Z}/225\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{5}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.31991 | − | 4.06225i | −0.466657 | − | 1.43622i | −0.856886 | − | 0.515506i | \(-0.827604\pi\) |
0.390229 | − | 0.920718i | \(-0.372396\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −8.28762 | + | 6.02131i | −1.03595 | + | 0.752663i | ||||
\(5\) | −4.79821 | − | 10.0984i | −0.429165 | − | 0.903226i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 33.6094 | 1.81474 | 0.907368 | − | 0.420336i | \(-0.138088\pi\) | ||||
0.907368 | + | 0.420336i | \(0.138088\pi\) | |||||||
\(8\) | 7.75447 | + | 5.63395i | 0.342702 | + | 0.248988i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −34.6890 | + | 32.8205i | −1.09696 | + | 1.03787i | ||||
\(11\) | −9.92549 | − | 30.5475i | −0.272059 | − | 0.837312i | −0.989983 | − | 0.141190i | \(-0.954907\pi\) |
0.717924 | − | 0.696122i | \(-0.245093\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 23.5572 | − | 72.5016i | 0.502584 | − | 1.54679i | −0.302211 | − | 0.953241i | \(-0.597725\pi\) |
0.804795 | − | 0.593553i | \(-0.202275\pi\) | |||||||
\(14\) | −44.3613 | − | 136.530i | −0.846860 | − | 2.60637i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −12.6733 | + | 39.0045i | −0.198021 | + | 0.609445i | ||||
\(17\) | −33.4899 | − | 24.3319i | −0.477794 | − | 0.347138i | 0.322677 | − | 0.946509i | \(-0.395417\pi\) |
−0.800471 | + | 0.599371i | \(0.795417\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −2.91326 | − | 2.11660i | −0.0351761 | − | 0.0255570i | 0.570058 | − | 0.821604i | \(-0.306921\pi\) |
−0.605234 | + | 0.796047i | \(0.706921\pi\) | |||||||
\(20\) | 100.571 | + | 54.8000i | 1.12442 | + | 0.612682i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −110.991 | + | 80.6398i | −1.07561 | + | 0.781475i | ||||
\(23\) | 38.2254 | + | 117.646i | 0.346545 | + | 1.06656i | 0.960751 | + | 0.277411i | \(0.0894764\pi\) |
−0.614206 | + | 0.789146i | \(0.710524\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −78.9543 | + | 96.9083i | −0.631635 | + | 0.775266i | ||||
\(26\) | −325.613 | −2.45608 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −278.542 | + | 202.372i | −1.87998 | + | 1.36589i | ||||
\(29\) | 153.999 | − | 111.887i | 0.986100 | − | 0.716444i | 0.0270367 | − | 0.999634i | \(-0.491393\pi\) |
0.959064 | + | 0.283191i | \(0.0913929\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −267.535 | − | 194.376i | −1.55002 | − | 1.12616i | −0.943634 | − | 0.330990i | \(-0.892617\pi\) |
−0.606390 | − | 0.795168i | \(-0.707383\pi\) | |||||||
\(32\) | 251.854 | 1.39131 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −54.6386 | + | 168.160i | −0.275601 | + | 0.848214i | ||||
\(35\) | −161.265 | − | 339.400i | −0.778822 | − | 1.63912i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −39.9391 | + | 122.920i | −0.177458 | + | 0.546160i | −0.999737 | − | 0.0229247i | \(-0.992702\pi\) |
0.822279 | + | 0.569084i | \(0.192702\pi\) | |||||||
\(38\) | −4.75296 | + | 14.6281i | −0.0202903 | + | 0.0624471i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 19.6862 | − | 105.340i | 0.0778165 | − | 0.416395i | ||||
\(41\) | −129.358 | + | 398.124i | −0.492741 | + | 1.51650i | 0.327708 | + | 0.944779i | \(0.393724\pi\) |
−0.820448 | + | 0.571721i | \(0.806276\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −41.9887 | −0.148912 | −0.0744559 | − | 0.997224i | \(-0.523722\pi\) | ||||
−0.0744559 | + | 0.997224i | \(0.523722\pi\) | |||||||
\(44\) | 266.195 | + | 193.402i | 0.912054 | + | 0.662646i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 427.452 | − | 310.562i | 1.37010 | − | 0.995433i | ||||
\(47\) | −375.583 | + | 272.877i | −1.16563 | + | 0.846877i | −0.990479 | − | 0.137666i | \(-0.956040\pi\) |
−0.175147 | + | 0.984542i | \(0.556040\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 786.592 | 2.29327 | ||||||||
\(50\) | 497.878 | + | 192.823i | 1.40821 | + | 0.545385i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 241.321 | + | 742.710i | 0.643562 | + | 1.98068i | ||||
\(53\) | 200.790 | − | 145.882i | 0.520388 | − | 0.378084i | −0.296362 | − | 0.955076i | \(-0.595774\pi\) |
0.816750 | + | 0.576992i | \(0.195774\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −260.856 | + | 246.805i | −0.639523 | + | 0.605076i | ||||
\(56\) | 260.623 | + | 189.354i | 0.621915 | + | 0.451848i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −657.777 | − | 477.903i | −1.48914 | − | 1.08193i | ||||
\(59\) | 66.6949 | − | 205.266i | 0.147169 | − | 0.452938i | −0.850115 | − | 0.526597i | \(-0.823468\pi\) |
0.997283 | + | 0.0736590i | \(0.0234676\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 57.9582 | + | 178.377i | 0.121652 | + | 0.374407i | 0.993276 | − | 0.115768i | \(-0.0369329\pi\) |
−0.871624 | + | 0.490175i | \(0.836933\pi\) | |||||||
\(62\) | −436.482 | + | 1343.35i | −0.894085 | + | 2.75171i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −231.037 | − | 711.060i | −0.451245 | − | 1.38879i | ||||
\(65\) | −845.181 | + | 109.989i | −1.61280 | + | 0.209883i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −223.332 | − | 162.260i | −0.407228 | − | 0.295869i | 0.365250 | − | 0.930909i | \(-0.380983\pi\) |
−0.772479 | + | 0.635041i | \(0.780983\pi\) | |||||||
\(68\) | 424.061 | 0.756250 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −1165.88 | + | 1103.08i | −1.99070 | + | 1.88347i | ||||
\(71\) | 328.894 | − | 238.955i | 0.549754 | − | 0.399419i | −0.277941 | − | 0.960598i | \(-0.589652\pi\) |
0.827695 | + | 0.561179i | \(0.189652\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −161.479 | − | 496.983i | −0.258901 | − | 0.796814i | −0.993036 | − | 0.117811i | \(-0.962412\pi\) |
0.734136 | − | 0.679003i | \(-0.237588\pi\) | |||||||
\(74\) | 552.048 | 0.867219 | ||||||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 36.8887 | 0.0556766 | ||||||||
\(77\) | −333.590 | − | 1026.68i | −0.493716 | − | 1.51950i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 295.531 | − | 214.716i | 0.420884 | − | 0.305790i | −0.357109 | − | 0.934063i | \(-0.616238\pi\) |
0.777993 | + | 0.628273i | \(0.216238\pi\) | |||||||
\(80\) | 454.691 | − | 59.1718i | 0.635450 | − | 0.0826951i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 1788.02 | 2.40797 | ||||||||
\(83\) | −550.242 | − | 399.774i | −0.727673 | − | 0.528686i | 0.161153 | − | 0.986929i | \(-0.448479\pi\) |
−0.888827 | + | 0.458244i | \(0.848479\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −85.0205 | + | 454.944i | −0.108491 | + | 0.580536i | ||||
\(86\) | 55.4211 | + | 170.569i | 0.0694908 | + | 0.213871i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 95.1364 | − | 292.800i | 0.115245 | − | 0.354688i | ||||
\(89\) | −91.6049 | − | 281.931i | −0.109102 | − | 0.335782i | 0.881569 | − | 0.472055i | \(-0.156488\pi\) |
−0.990671 | + | 0.136273i | \(0.956488\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 791.743 | − | 2436.73i | 0.912058 | − | 2.80702i | ||||
\(92\) | −1025.18 | − | 744.835i | −1.16176 | − | 0.844070i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 1604.23 | + | 1165.54i | 1.76025 | + | 1.27890i | ||||
\(95\) | −7.39584 | + | 39.5751i | −0.00798734 | + | 0.0427402i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −185.918 | + | 135.077i | −0.194609 | + | 0.141392i | −0.680823 | − | 0.732448i | \(-0.738378\pi\) |
0.486214 | + | 0.873840i | \(0.338378\pi\) | |||||||
\(98\) | −1038.23 | − | 3195.33i | −1.07017 | − | 3.29365i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 70.8289 | − | 1278.55i | 0.0708289 | − | 1.27855i | ||||
\(101\) | 514.024 | 0.506409 | 0.253205 | − | 0.967413i | \(-0.418515\pi\) | ||||
0.253205 | + | 0.967413i | \(0.418515\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 77.0965 | − | 56.0139i | 0.0737528 | − | 0.0535846i | −0.550298 | − | 0.834968i | \(-0.685486\pi\) |
0.624051 | + | 0.781384i | \(0.285486\pi\) | |||||||
\(104\) | 591.144 | − | 429.491i | 0.557370 | − | 0.404953i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −857.634 | − | 623.107i | −0.785856 | − | 0.570958i | ||||
\(107\) | −780.381 | −0.705068 | −0.352534 | − | 0.935799i | \(-0.614680\pi\) | ||||
−0.352534 | + | 0.935799i | \(0.614680\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 190.124 | − | 585.140i | 0.167069 | − | 0.514186i | −0.832114 | − | 0.554605i | \(-0.812869\pi\) |
0.999183 | + | 0.0404192i | \(0.0128693\pi\) | |||||||
\(110\) | 1346.89 | + | 733.903i | 1.16746 | + | 0.636136i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −425.943 | + | 1310.92i | −0.359356 | + | 1.10598i | ||||
\(113\) | −130.179 | + | 400.650i | −0.108374 | + | 0.333539i | −0.990507 | − | 0.137459i | \(-0.956106\pi\) |
0.882134 | + | 0.470999i | \(0.156106\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 1004.62 | − | 950.503i | 0.814617 | − | 0.770738i | ||||
\(116\) | −602.580 | + | 1854.55i | −0.482312 | + | 1.48440i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −921.873 | −0.719198 | ||||||||
\(119\) | −1125.58 | − | 817.780i | −0.867071 | − | 0.629964i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 242.165 | − | 175.943i | 0.181942 | − | 0.132189i | ||||
\(122\) | 648.113 | − | 470.882i | 0.480962 | − | 0.349440i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 3387.62 | 2.45337 | ||||||||
\(125\) | 1357.46 | + | 332.324i | 0.971316 | + | 0.237792i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 354.912 | + | 1092.31i | 0.247979 | + | 0.763202i | 0.995132 | + | 0.0985497i | \(0.0314204\pi\) |
−0.747153 | + | 0.664652i | \(0.768580\pi\) | |||||||
\(128\) | −953.522 | + | 692.775i | −0.658440 | + | 0.478384i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 1562.36 | + | 3288.16i | 1.05406 | + | 2.21839i | ||||
\(131\) | −241.102 | − | 175.171i | −0.160803 | − | 0.116830i | 0.504474 | − | 0.863427i | \(-0.331686\pi\) |
−0.665277 | + | 0.746597i | \(0.731686\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −97.9127 | − | 71.1378i | −0.0638354 | − | 0.0463792i | ||||
\(134\) | −364.364 | + | 1121.40i | −0.234898 | + | 0.722940i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −122.612 | − | 377.362i | −0.0773082 | − | 0.237930i | ||||
\(137\) | 674.262 | − | 2075.17i | 0.420483 | − | 1.29411i | −0.486771 | − | 0.873529i | \(-0.661826\pi\) |
0.907254 | − | 0.420583i | \(-0.138174\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −656.504 | − | 2020.51i | −0.400604 | − | 1.23293i | −0.924511 | − | 0.381156i | \(-0.875526\pi\) |
0.523907 | − | 0.851775i | \(-0.324474\pi\) | |||||||
\(140\) | 3380.14 | + | 1841.79i | 2.04053 | + | 1.11186i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −1404.81 | − | 1020.65i | −0.830202 | − | 0.603177i | ||||
\(143\) | −2448.56 | −1.43188 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −1868.80 | − | 1018.28i | −1.07031 | − | 0.583199i | ||||
\(146\) | −1805.73 | + | 1311.94i | −1.02359 | + | 0.743678i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −409.138 | − | 1259.20i | −0.227236 | − | 0.699361i | ||||
\(149\) | 2893.87 | 1.59111 | 0.795554 | − | 0.605882i | \(-0.207180\pi\) | ||||
0.795554 | + | 0.605882i | \(0.207180\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 2519.50 | 1.35784 | 0.678921 | − | 0.734212i | \(-0.262448\pi\) | ||||
0.678921 | + | 0.734212i | \(0.262448\pi\) | |||||||
\(152\) | −10.6659 | − | 32.8263i | −0.00569157 | − | 0.0175169i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −3730.34 | + | 2710.25i | −1.95195 | + | 1.41817i | ||||
\(155\) | −679.188 | + | 3634.33i | −0.351959 | + | 1.88333i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 2190.79 | 1.11366 | 0.556828 | − | 0.830628i | \(-0.312018\pi\) | ||||
0.556828 | + | 0.830628i | \(0.312018\pi\) | |||||||
\(158\) | −1262.30 | − | 917.117i | −0.635591 | − | 0.461784i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −1208.45 | − | 2543.32i | −0.597102 | − | 1.25667i | ||||
\(161\) | 1284.73 | + | 3954.00i | 0.628889 | + | 1.93552i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −150.794 | + | 464.095i | −0.0724605 | + | 0.223010i | −0.980728 | − | 0.195381i | \(-0.937406\pi\) |
0.908267 | + | 0.418391i | \(0.137406\pi\) | |||||||
\(164\) | −1325.15 | − | 4078.40i | −0.630958 | − | 1.94189i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −897.716 | + | 2762.89i | −0.419737 | + | 1.29182i | ||||
\(167\) | 2984.57 | + | 2168.42i | 1.38295 | + | 1.00477i | 0.996597 | + | 0.0824226i | \(0.0262657\pi\) |
0.386354 | + | 0.922351i | \(0.373734\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −2924.13 | − | 2124.50i | −1.33096 | − | 0.967002i | ||||
\(170\) | 1960.32 | − | 255.108i | 0.884408 | − | 0.115093i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 347.986 | − | 252.827i | 0.154266 | − | 0.112080i | ||||
\(173\) | 969.377 | + | 2983.44i | 0.426014 | + | 1.31114i | 0.902020 | + | 0.431693i | \(0.142084\pi\) |
−0.476007 | + | 0.879442i | \(0.657916\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −2653.61 | + | 3257.03i | −1.14625 | + | 1.40690i | ||||
\(176\) | 1317.28 | 0.564169 | ||||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −1024.37 | + | 744.245i | −0.431345 | + | 0.313391i | ||||
\(179\) | 771.743 | − | 560.704i | 0.322250 | − | 0.234128i | −0.414885 | − | 0.909874i | \(-0.636178\pi\) |
0.737135 | + | 0.675745i | \(0.236178\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 125.543 | + | 91.2125i | 0.0515556 | + | 0.0374573i | 0.613265 | − | 0.789878i | \(-0.289856\pi\) |
−0.561709 | + | 0.827335i | \(0.689856\pi\) | |||||||
\(182\) | −10943.7 | −4.45713 | ||||||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −366.392 | + | 1127.64i | −0.146798 | + | 0.451797i | ||||
\(185\) | 1432.93 | − | 186.476i | 0.569464 | − | 0.0741079i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −410.874 | + | 1264.54i | −0.160674 | + | 0.494505i | ||||
\(188\) | 1469.61 | − | 4523.00i | 0.570119 | − | 1.75465i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 170.526 | − | 22.1916i | 0.0651118 | − | 0.00847340i | ||||
\(191\) | 424.396 | − | 1306.16i | 0.160776 | − | 0.494818i | −0.837924 | − | 0.545787i | \(-0.816231\pi\) |
0.998700 | + | 0.0509689i | \(0.0162309\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 2565.08 | 0.956676 | 0.478338 | − | 0.878176i | \(-0.341239\pi\) | ||||
0.478338 | + | 0.878176i | \(0.341239\pi\) | |||||||
\(194\) | 794.113 | + | 576.957i | 0.293887 | + | 0.213521i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −6518.97 | + | 4736.31i | −2.37572 | + | 1.72606i | ||||
\(197\) | −1114.76 | + | 809.922i | −0.403165 | + | 0.292917i | −0.770829 | − | 0.637042i | \(-0.780158\pi\) |
0.367664 | + | 0.929959i | \(0.380158\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −988.966 | −0.352291 | −0.176146 | − | 0.984364i | \(-0.556363\pi\) | ||||
−0.176146 | + | 0.984364i | \(0.556363\pi\) | |||||||
\(200\) | −1158.23 | + | 306.647i | −0.409495 | + | 0.108416i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −678.464 | − | 2088.10i | −0.236320 | − | 0.727317i | ||||
\(203\) | 5175.82 | − | 3760.45i | 1.78951 | − | 1.30016i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 4641.09 | − | 603.974i | 1.58121 | − | 0.205773i | ||||
\(206\) | −329.303 | − | 239.252i | −0.111377 | − | 0.0809199i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 2529.34 | + | 1837.67i | 0.843164 | + | 0.612595i | ||||
\(209\) | −35.7415 | + | 110.001i | −0.0118292 | + | 0.0364064i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 606.537 | + | 1866.73i | 0.197895 | + | 0.609057i | 0.999931 | + | 0.0117812i | \(0.00375017\pi\) |
−0.802036 | + | 0.597276i | \(0.796250\pi\) | |||||||
\(212\) | −785.666 | + | 2418.03i | −0.254527 | + | 0.783354i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 1030.03 | + | 3170.11i | 0.329025 | + | 1.01264i | ||||
\(215\) | 201.470 | + | 424.017i | 0.0639078 | + | 0.134501i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −8991.70 | − | 6532.85i | −2.81289 | − | 2.04368i | ||||
\(218\) | −2627.93 | −0.816450 | ||||||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 675.785 | − | 3616.12i | 0.207097 | − | 1.10818i | ||||
\(221\) | −2553.03 | + | 1854.88i | −0.777083 | + | 0.564584i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 1063.53 | + | 3273.20i | 0.319368 | + | 0.982913i | 0.973919 | + | 0.226895i | \(0.0728576\pi\) |
−0.654551 | + | 0.756018i | \(0.727142\pi\) | |||||||
\(224\) | 8464.67 | 2.52486 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 1799.36 | 0.529610 | ||||||||
\(227\) | 518.565 | + | 1595.98i | 0.151623 | + | 0.466647i | 0.997803 | − | 0.0662496i | \(-0.0211034\pi\) |
−0.846180 | + | 0.532897i | \(0.821103\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 436.125 | − | 316.863i | 0.125851 | − | 0.0914363i | −0.523079 | − | 0.852284i | \(-0.675217\pi\) |
0.648930 | + | 0.760848i | \(0.275217\pi\) | |||||||
\(230\) | −5187.18 | − | 2826.43i | −1.48710 | − | 0.810301i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 1824.55 | 0.516325 | ||||||||
\(233\) | −2488.89 | − | 1808.28i | −0.699796 | − | 0.508431i | 0.180070 | − | 0.983654i | \(-0.442368\pi\) |
−0.879866 | + | 0.475223i | \(0.842368\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 4557.74 | + | 2483.46i | 1.26517 | + | 0.689374i | ||||
\(236\) | 683.227 | + | 2102.76i | 0.188450 | + | 0.579990i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −1836.37 | + | 5651.77i | −0.500144 | + | 1.53929i | ||||
\(239\) | −134.744 | − | 414.700i | −0.0364681 | − | 0.112237i | 0.931165 | − | 0.364597i | \(-0.118793\pi\) |
−0.967633 | + | 0.252360i | \(0.918793\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 1239.98 | − | 3816.27i | 0.331429 | − | 1.02003i | −0.637026 | − | 0.770842i | \(-0.719836\pi\) |
0.968455 | − | 0.249190i | \(-0.0801644\pi\) | |||||||
\(242\) | −1034.36 | − | 751.508i | −0.274758 | − | 0.199623i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −1554.40 | − | 1129.34i | −0.407828 | − | 0.296305i | ||||
\(245\) | −3774.23 | − | 7943.30i | −0.984191 | − | 2.07134i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −222.085 | + | 161.354i | −0.0572103 | + | 0.0415657i | ||||
\(248\) | −979.490 | − | 3014.56i | −0.250797 | − | 0.771874i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −441.729 | − | 5952.97i | −0.111750 | − | 1.50599i | ||||
\(251\) | −4706.56 | −1.18357 | −0.591784 | − | 0.806097i | \(-0.701576\pi\) | ||||
−0.591784 | + | 0.806097i | \(0.701576\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 3214.38 | − | 2335.38i | 0.798760 | − | 0.580333i | ||||
\(254\) | 3968.78 | − | 2883.49i | 0.980407 | − | 0.712308i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −766.121 | − | 556.620i | −0.187041 | − | 0.135893i | ||||
\(257\) | 573.257 | 0.139139 | 0.0695696 | − | 0.997577i | \(-0.477837\pi\) | ||||
0.0695696 | + | 0.997577i | \(0.477837\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −1342.33 | + | 4131.26i | −0.322040 | + | 0.991136i | ||||
\(260\) | 6342.26 | − | 6000.63i | 1.51281 | − | 1.43132i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −393.357 | + | 1210.63i | −0.0927544 | + | 0.285469i | ||||
\(263\) | 1428.46 | − | 4396.36i | 0.334915 | − | 1.03076i | −0.631848 | − | 0.775092i | \(-0.717703\pi\) |
0.966764 | − | 0.255672i | \(-0.0822966\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −2436.60 | − | 1327.67i | −0.564828 | − | 0.307768i | ||||
\(266\) | −159.744 | + | 491.642i | −0.0368216 | + | 0.113325i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 2827.90 | 0.644559 | ||||||||
\(269\) | −5498.69 | − | 3995.03i | −1.24632 | − | 0.905507i | −0.248321 | − | 0.968678i | \(-0.579879\pi\) |
−0.998003 | + | 0.0631703i | \(0.979879\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −4062.81 | + | 2951.81i | −0.910695 | + | 0.661659i | −0.941190 | − | 0.337876i | \(-0.890291\pi\) |
0.0304957 | + | 0.999535i | \(0.490291\pi\) | |||||||
\(272\) | 1373.48 | − | 997.893i | 0.306175 | − | 0.222449i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −9319.81 | −2.05486 | ||||||||
\(275\) | 3743.97 | + | 1450.00i | 0.820981 | + | 0.317957i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −1967.28 | − | 6054.66i | −0.426723 | − | 1.31332i | −0.901335 | − | 0.433123i | \(-0.857411\pi\) |
0.474612 | − | 0.880195i | \(-0.342589\pi\) | |||||||
\(278\) | −7341.30 | + | 5333.77i | −1.58382 | + | 1.15071i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 661.641 | − | 3540.43i | 0.141216 | − | 0.755647i | ||||
\(281\) | 1793.59 | + | 1303.12i | 0.380771 | + | 0.276646i | 0.761663 | − | 0.647973i | \(-0.224383\pi\) |
−0.380892 | + | 0.924619i | \(0.624383\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 5646.82 | + | 4102.66i | 1.18611 | + | 0.861759i | 0.992848 | − | 0.119389i | \(-0.0380935\pi\) |
0.193261 | + | 0.981147i | \(0.438093\pi\) | |||||||
\(284\) | −1286.92 | + | 3960.74i | −0.268890 | + | 0.827559i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 3231.87 | + | 9946.68i | 0.668198 | + | 2.05650i | ||||
\(287\) | −4347.65 | + | 13380.7i | −0.894195 | + | 2.75205i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −988.664 | − | 3042.79i | −0.201234 | − | 0.619335i | ||||
\(290\) | −1669.89 | + | 8935.56i | −0.338136 | + | 1.80936i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 4330.76 | + | 3146.48i | 0.867941 | + | 0.630596i | ||||
\(293\) | 8443.08 | 1.68345 | 0.841724 | − | 0.539908i | \(-0.181541\pi\) | ||||
0.841724 | + | 0.539908i | \(0.181541\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −2392.87 | + | 311.399i | −0.472265 | + | 0.0614588i | ||||
\(296\) | −1002.23 | + | 728.164i | −0.196802 | + | 0.142985i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −3819.64 | − | 11755.6i | −0.742503 | − | 2.28519i | ||||
\(299\) | 9429.98 | 1.82391 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −1411.21 | −0.270236 | ||||||||
\(302\) | −3325.50 | − | 10234.8i | −0.633647 | − | 1.95016i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 119.478 | − | 86.8056i | 0.0225412 | − | 0.0163771i | ||||
\(305\) | 1523.22 | − | 1441.17i | 0.285965 | − | 0.270562i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −2853.33 | −0.530450 | −0.265225 | − | 0.964187i | \(-0.585446\pi\) | ||||
−0.265225 | + | 0.964187i | \(0.585446\pi\) | |||||||
\(308\) | 8946.64 | + | 6500.12i | 1.65514 | + | 1.20253i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 15660.0 | − | 2037.94i | 2.86913 | − | 0.373377i | ||||
\(311\) | −2085.97 | − | 6419.96i | −0.380336 | − | 1.17055i | −0.939807 | − | 0.341705i | \(-0.888996\pi\) |
0.559471 | − | 0.828850i | \(-0.311004\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 1021.84 | − | 3144.90i | 0.184530 | − | 0.567924i | −0.815410 | − | 0.578884i | \(-0.803489\pi\) |
0.999940 | + | 0.0109593i | \(0.00348854\pi\) | |||||||
\(314\) | −2891.64 | − | 8899.54i | −0.519696 | − | 1.59946i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −1156.38 | + | 3558.96i | −0.205859 | + | 0.633568i | ||||
\(317\) | 2682.89 | + | 1949.24i | 0.475351 | + | 0.345363i | 0.799523 | − | 0.600635i | \(-0.205086\pi\) |
−0.324172 | + | 0.945998i | \(0.605086\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −4946.39 | − | 3593.76i | −0.868164 | − | 0.630758i | ||||
\(320\) | −6071.98 | + | 5744.92i | −1.06073 | + | 1.00360i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 14366.4 | − | 10437.8i | 2.48636 | − | 1.80645i | ||||
\(323\) | 46.0638 | + | 141.770i | 0.00793517 | + | 0.0244219i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 5166.06 | + | 8007.20i | 0.881728 | + | 1.36665i | ||||
\(326\) | 2084.30 | 0.354107 | ||||||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −3246.12 | + | 2358.44i | −0.546454 | + | 0.397022i | ||||
\(329\) | −12623.1 | + | 9171.23i | −2.11530 | + | 1.53686i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 6061.25 | + | 4403.76i | 1.00651 | + | 0.731276i | 0.963475 | − | 0.267798i | \(-0.0862958\pi\) |
0.0430396 | + | 0.999073i | \(0.486296\pi\) | |||||||
\(332\) | 6967.36 | 1.15176 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 4869.31 | − | 14986.2i | 0.797714 | − | 2.45511i | ||||
\(335\) | −566.969 | + | 3033.84i | −0.0924682 | + | 0.494796i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −2497.93 | + | 7687.83i | −0.403771 | + | 1.24268i | 0.518146 | + | 0.855292i | \(0.326622\pi\) |
−0.921917 | + | 0.387387i | \(0.873378\pi\) | |||||||
\(338\) | −4770.70 | + | 14682.7i | −0.767727 | + | 2.36282i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −2034.74 | − | 4282.33i | −0.324556 | − | 0.683065i | ||||
\(341\) | −3282.28 | + | 10101.8i | −0.521247 | + | 1.60423i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 14908.8 | 2.34694 | ||||||||
\(344\) | −325.600 | − | 236.562i | −0.0510325 | − | 0.0370773i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 10840.0 | − | 7875.71i | 1.68428 | − | 1.22370i | ||||
\(347\) | 8214.67 | − | 5968.31i | 1.27086 | − | 0.923330i | 0.271619 | − | 0.962405i | \(-0.412441\pi\) |
0.999236 | + | 0.0390745i | \(0.0124410\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 915.035 | 0.140346 | 0.0701729 | − | 0.997535i | \(-0.477645\pi\) | ||||
0.0701729 | + | 0.997535i | \(0.477645\pi\) | |||||||
\(350\) | 16733.4 | + | 6480.65i | 2.55554 | + | 0.989730i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −2499.78 | − | 7693.52i | −0.378519 | − | 1.16496i | ||||
\(353\) | −64.3813 | + | 46.7758i | −0.00970728 | + | 0.00705275i | −0.592628 | − | 0.805476i | \(-0.701910\pi\) |
0.582921 | + | 0.812529i | \(0.301910\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −3991.16 | − | 2174.73i | −0.596701 | − | 0.325135i | ||||
\(356\) | 2456.78 | + | 1784.95i | 0.365756 | + | 0.265737i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −3296.35 | − | 2394.94i | −0.486641 | − | 0.353565i | ||||
\(359\) | −1932.90 | + | 5948.86i | −0.284163 | + | 0.874565i | 0.702485 | + | 0.711699i | \(0.252074\pi\) |
−0.986648 | + | 0.162866i | \(0.947926\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −2115.54 | − | 6510.96i | −0.308433 | − | 0.949259i | ||||
\(362\) | 204.823 | − | 630.380i | 0.0297383 | − | 0.0915250i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 8110.66 | + | 24962.1i | 1.16790 | + | 3.59441i | ||||
\(365\) | −4243.90 | + | 4015.31i | −0.608592 | + | 0.575810i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 2077.48 | + | 1509.38i | 0.295487 | + | 0.214684i | 0.725644 | − | 0.688070i | \(-0.241542\pi\) |
−0.430157 | + | 0.902754i | \(0.641542\pi\) | |||||||
\(368\) | −5073.15 | −0.718631 | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −2648.84 | − | 5574.78i | −0.372180 | − | 0.783295i | ||||
\(371\) | 6748.41 | − | 4903.01i | 0.944367 | − | 0.686123i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 2876.24 | + | 8852.16i | 0.399266 | + | 1.22881i | 0.925589 | + | 0.378530i | \(0.123570\pi\) |
−0.526323 | + | 0.850285i | \(0.676430\pi\) | |||||||
\(374\) | 5679.20 | 0.785199 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −4449.82 | −0.610325 | ||||||||
\(377\) | −4484.19 | − | 13800.9i | −0.612593 | − | 1.88537i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 1786.14 | − | 1297.71i | 0.242079 | − | 0.175880i | −0.460130 | − | 0.887851i | \(-0.652197\pi\) |
0.702209 | + | 0.711971i | \(0.252197\pi\) | |||||||
\(380\) | −177.000 | − | 372.515i | −0.0238944 | − | 0.0502885i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −5866.10 | −0.785696 | ||||||||
\(383\) | −10414.5 | − | 7566.60i | −1.38945 | − | 1.00949i | −0.995926 | − | 0.0901754i | \(-0.971257\pi\) |
−0.393520 | − | 0.919316i | \(-0.628743\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −8767.21 | + | 8294.96i | −1.16057 | + | 1.09805i | ||||
\(386\) | −3385.66 | − | 10420.0i | −0.446440 | − | 1.37400i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 727.475 | − | 2238.94i | 0.0951855 | − | 0.292951i | ||||
\(389\) | −3872.47 | − | 11918.2i | −0.504735 | − | 1.55341i | −0.801216 | − | 0.598376i | \(-0.795813\pi\) |
0.296481 | − | 0.955039i | \(-0.404187\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 1582.37 | − | 4870.04i | 0.204665 | − | 0.629894i | ||||
\(392\) | 6099.60 | + | 4431.62i | 0.785909 | + | 0.570996i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 4761.49 | + | 3459.43i | 0.608834 | + | 0.442344i | ||||
\(395\) | −3586.30 | − | 1954.13i | −0.456826 | − | 0.248919i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −10322.4 | + | 7499.67i | −1.30496 | + | 0.948105i | −0.999991 | − | 0.00425835i | \(-0.998645\pi\) |
−0.304964 | + | 0.952364i | \(0.598645\pi\) | |||||||
\(398\) | 1305.34 | + | 4017.43i | 0.164399 | + | 0.505969i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −2779.24 | − | 4307.72i | −0.347405 | − | 0.538466i | ||||
\(401\) | −4960.15 | −0.617700 | −0.308850 | − | 0.951111i | \(-0.599944\pi\) | ||||
−0.308850 | + | 0.951111i | \(0.599944\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −20394.9 | + | 14817.8i | −2.52095 | + | 1.83158i | ||||
\(404\) | −4260.04 | + | 3095.10i | −0.524616 | + | 0.381156i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −22107.5 | − | 16062.0i | −2.70241 | − | 1.96341i | ||||
\(407\) | 4151.31 | 0.505585 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 3499.05 | − | 10769.0i | 0.423025 | − | 1.30194i | −0.481848 | − | 0.876255i | \(-0.660034\pi\) |
0.904873 | − | 0.425682i | \(-0.139966\pi\) | |||||||
\(410\) | −8579.30 | − | 18056.1i | −1.03342 | − | 2.17494i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −301.669 | + | 928.443i | −0.0360733 | + | 0.111022i | ||||
\(413\) | 2241.58 | − | 6898.86i | 0.267072 | − | 0.821963i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −1396.89 | + | 7474.75i | −0.165231 | + | 0.884147i | ||||
\(416\) | 5932.98 | − | 18259.8i | 0.699251 | − | 2.15207i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 494.028 | 0.0578079 | ||||||||
\(419\) | −9318.52 | − | 6770.30i | −1.08649 | − | 0.789382i | −0.107688 | − | 0.994185i | \(-0.534345\pi\) |
−0.978803 | + | 0.204803i | \(0.934345\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 1968.58 | − | 1430.26i | 0.227892 | − | 0.165574i | −0.467980 | − | 0.883739i | \(-0.655018\pi\) |
0.695872 | + | 0.718166i | \(0.255018\pi\) | |||||||
\(422\) | 6782.56 | − | 4927.82i | 0.782393 | − | 0.568442i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 2378.91 | 0.272477 | ||||||||
\(425\) | 5002.14 | − | 1324.35i | 0.570916 | − | 0.151153i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 1947.94 | + | 5995.14i | 0.220767 | + | 0.679450i | ||||
\(428\) | 6467.50 | − | 4698.91i | 0.730417 | − | 0.530679i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 1456.54 | − | 1378.09i | 0.163351 | − | 0.154552i | ||||
\(431\) | 7111.10 | + | 5166.51i | 0.794732 | + | 0.577407i | 0.909364 | − | 0.416001i | \(-0.136569\pi\) |
−0.114632 | + | 0.993408i | \(0.536569\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −6196.51 | − | 4502.03i | −0.687726 | − | 0.499662i | 0.188186 | − | 0.982133i | \(-0.439739\pi\) |
−0.875912 | + | 0.482471i | \(0.839739\pi\) | |||||||
\(434\) | −14669.9 | + | 45149.3i | −1.62253 | + | 4.99363i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 1947.64 | + | 5994.21i | 0.213933 | + | 0.658419i | ||||
\(437\) | 137.649 | − | 423.640i | 0.0150678 | − | 0.0463740i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 1589.15 | + | 4890.90i | 0.172770 | + | 0.531731i | 0.999525 | − | 0.0308313i | \(-0.00981546\pi\) |
−0.826755 | + | 0.562563i | \(0.809815\pi\) | |||||||
\(440\) | −3413.29 | + | 444.192i | −0.369823 | + | 0.0481273i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 10904.8 | + | 7922.78i | 1.17350 | + | 0.852598i | ||||
\(443\) | −3847.00 | −0.412588 | −0.206294 | − | 0.978490i | \(-0.566140\pi\) | ||||
−0.206294 | + | 0.978490i | \(0.566140\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −2407.50 | + | 2277.83i | −0.256464 | + | 0.242650i | ||||
\(446\) | 11892.8 | − | 8640.63i | 1.26265 | − | 0.917367i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −7765.02 | − | 23898.3i | −0.818890 | − | 2.52029i | ||||
\(449\) | 1690.99 | 0.177735 | 0.0888674 | − | 0.996043i | \(-0.471675\pi\) | ||||
0.0888674 | + | 0.996043i | \(0.471675\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 13445.6 | 1.40384 | ||||||||
\(452\) | −1333.56 | − | 4104.28i | −0.138773 | − | 0.427100i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 5798.82 | − | 4213.09i | 0.599454 | − | 0.435529i | ||||
\(455\) | −28406.0 | + | 3696.65i | −2.92680 | + | 0.380883i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −369.186 | −0.0377895 | −0.0188947 | − | 0.999821i | \(-0.506015\pi\) | ||||
−0.0188947 | + | 0.999821i | \(0.506015\pi\) | |||||||
\(458\) | −1862.82 | − | 1353.42i | −0.190052 | − | 0.138081i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −2602.60 | + | 13926.5i | −0.263798 | + | 1.41158i | ||||
\(461\) | 812.481 | + | 2500.56i | 0.0820846 | + | 0.252630i | 0.983673 | − | 0.179964i | \(-0.0575982\pi\) |
−0.901589 | + | 0.432595i | \(0.857598\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 587.970 | − | 1809.58i | 0.0590178 | − | 0.181638i | −0.917201 | − | 0.398424i | \(-0.869557\pi\) |
0.976219 | + | 0.216786i | \(0.0695573\pi\) | |||||||
\(464\) | 2412.41 | + | 7424.64i | 0.241365 | + | 0.742845i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −4060.60 | + | 12497.2i | −0.403656 | + | 1.24233i | ||||
\(467\) | 8903.30 | + | 6468.62i | 0.882217 | + | 0.640968i | 0.933837 | − | 0.357698i | \(-0.116438\pi\) |
−0.0516199 | + | 0.998667i | \(0.516438\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −7506.04 | − | 5453.46i | −0.739012 | − | 0.536924i | ||||
\(470\) | 4072.64 | − | 21792.6i | 0.399695 | − | 2.13876i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 1673.64 | − | 1215.97i | 0.163211 | − | 0.118580i | ||||
\(473\) | 416.758 | + | 1282.65i | 0.0405128 | + | 0.124686i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 435.131 | − | 115.203i | 0.0420319 | − | 0.0111282i | ||||
\(476\) | 14252.5 | 1.37239 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −1506.77 | + | 1094.73i | −0.144180 | + | 0.104753i | ||||
\(479\) | 11054.3 | − | 8031.41i | 1.05445 | − | 0.766106i | 0.0813995 | − | 0.996682i | \(-0.474061\pi\) |
0.973054 | + | 0.230576i | \(0.0740610\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 7971.03 | + | 5791.30i | 0.755609 | + | 0.548982i | ||||
\(482\) | −17139.3 | −1.61966 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −947.564 | + | 2916.30i | −0.0889899 | + | 0.273883i | ||||
\(485\) | 2256.14 | + | 1229.34i | 0.211229 | + | 0.115096i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −1524.98 | + | 4693.40i | −0.141896 | + | 0.436711i | −0.996599 | − | 0.0824064i | \(-0.973739\pi\) |
0.854703 | + | 0.519118i | \(0.173739\pi\) | |||||||
\(488\) | −555.532 | + | 1709.75i | −0.0515323 | + | 0.158600i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −27286.0 | + | 25816.3i | −2.51563 | + | 2.38013i | ||||
\(491\) | 134.582 | − | 414.201i | 0.0123699 | − | 0.0380705i | −0.944681 | − | 0.327990i | \(-0.893629\pi\) |
0.957051 | + | 0.289920i | \(0.0936287\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −7879.84 | −0.719858 | ||||||||
\(494\) | 948.594 | + | 689.194i | 0.0863953 | + | 0.0627698i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 10972.1 | − | 7971.69i | 0.993269 | − | 0.721652i | ||||
\(497\) | 11053.9 | − | 8031.14i | 0.997658 | − | 0.724841i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 3428.76 | 0.307600 | 0.153800 | − | 0.988102i | \(-0.450849\pi\) | ||||
0.153800 | + | 0.988102i | \(0.450849\pi\) | |||||||
\(500\) | −13251.1 | + | 5419.48i | −1.18521 | + | 0.484733i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 6212.22 | + | 19119.2i | 0.552320 | + | 1.69987i | ||||
\(503\) | −3567.05 | + | 2591.62i | −0.316197 | + | 0.229731i | −0.734551 | − | 0.678553i | \(-0.762607\pi\) |
0.418354 | + | 0.908284i | \(0.362607\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −2466.40 | − | 5190.81i | −0.217333 | − | 0.457402i | ||||
\(506\) | −13729.6 | − | 9975.13i | −1.20623 | − | 0.876381i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −9518.50 | − | 6915.59i | −0.831329 | − | 0.603996i | ||||
\(509\) | −1764.24 | + | 5429.77i | −0.153632 | + | 0.472830i | −0.998020 | − | 0.0629024i | \(-0.979964\pi\) |
0.844388 | + | 0.535732i | \(0.179964\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −5427.23 | − | 16703.3i | −0.469836 | − | 1.44601i | ||||
\(512\) | −4163.63 | + | 12814.3i | −0.359391 | + | 1.10609i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −756.645 | − | 2328.72i | −0.0649303 | − | 0.199835i | ||||
\(515\) | −935.574 | − | 509.783i | −0.0800511 | − | 0.0436189i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 12063.6 | + | 8764.69i | 1.02622 | + | 0.745592i | ||||
\(518\) | 18554.0 | 1.57377 | ||||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −7173.60 | − | 3908.81i | −0.604968 | − | 0.329639i | ||||
\(521\) | −1640.89 | + | 1192.18i | −0.137982 | + | 0.100250i | −0.654635 | − | 0.755945i | \(-0.727178\pi\) |
0.516653 | + | 0.856195i | \(0.327178\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −1067.09 | − | 3284.16i | −0.0892171 | − | 0.274582i | 0.896486 | − | 0.443071i | \(-0.146111\pi\) |
−0.985703 | + | 0.168489i | \(0.946111\pi\) | |||||||
\(524\) | 3052.92 | 0.254518 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −19744.5 | −1.63670 | ||||||||
\(527\) | 4230.21 | + | 13019.3i | 0.349660 | + | 1.07614i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −2536.00 | + | 1842.51i | −0.208433 | + | 0.151435i | ||||
\(530\) | −2177.26 | + | 11650.5i | −0.178442 | + | 0.954841i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 1239.81 | 0.101038 | ||||||||
\(533\) | 25817.3 | + | 18757.4i | 2.09807 | + | 1.52434i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 3744.43 | + | 7880.58i | 0.302591 | + | 0.636836i | ||||
\(536\) | −817.654 | − | 2516.48i | −0.0658904 | − | 0.202790i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −8971.08 | + | 27610.2i | −0.718905 | + | 2.21256i | ||||
\(539\) | −7807.31 | − | 24028.4i | −0.623905 | − | 1.92018i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 6762.35 | − | 20812.4i | 0.537405 | − | 1.65396i | −0.200988 | − | 0.979594i | \(-0.564415\pi\) |
0.738394 | − | 0.674370i | \(-0.235585\pi\) | |||||||
\(542\) | 17353.5 | + | 12608.1i | 1.37527 | + | 0.999194i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −8434.58 | − | 6128.08i | −0.664761 | − | 0.482977i | ||||
\(545\) | −6821.22 | + | 887.687i | −0.536126 | + | 0.0697694i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −6842.63 | + | 4971.46i | −0.534862 | + | 0.388600i | −0.822173 | − | 0.569237i | \(-0.807239\pi\) |
0.287311 | + | 0.957837i | \(0.407239\pi\) | |||||||
\(548\) | 6907.18 | + | 21258.1i | 0.538431 | + | 1.65712i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 948.569 | − | 17122.8i | 0.0735402 | − | 1.32749i | ||||
\(551\) | −685.459 | −0.0529973 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 9932.62 | − | 7216.47i | 0.763793 | − | 0.554928i | ||||
\(554\) | −21998.9 | + | 15983.2i | −1.68709 | + | 1.22574i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 17607.0 | + | 12792.2i | 1.34299 | + | 0.975738i | ||||
\(557\) | −16513.1 | −1.25616 | −0.628080 | − | 0.778149i | \(-0.716159\pi\) | ||||
−0.628080 | + | 0.778149i | \(0.716159\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −989.135 | + | 3044.24i | −0.0748407 | + | 0.230336i | ||||
\(560\) | 15281.9 | − | 1988.73i | 1.15318 | − | 0.150070i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 2926.23 | − | 9006.01i | 0.219636 | − | 0.675971i | ||||
\(563\) | −5502.05 | + | 16933.6i | −0.411872 | + | 1.26761i | 0.503147 | + | 0.864201i | \(0.332175\pi\) |
−0.915019 | + | 0.403410i | \(0.867825\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 4670.54 | − | 607.806i | 0.347772 | − | 0.0452577i | ||||
\(566\) | 9212.76 | − | 28354.0i | 0.684172 | − | 2.10566i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 3896.66 | 0.287853 | ||||||||
\(569\) | 3984.70 | + | 2895.05i | 0.293580 | + | 0.213299i | 0.724819 | − | 0.688939i | \(-0.241923\pi\) |
−0.431239 | + | 0.902238i | \(0.641923\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −10205.8 | + | 7414.97i | −0.747987 | + | 0.543444i | −0.895202 | − | 0.445660i | \(-0.852969\pi\) |
0.147215 | + | 0.989104i | \(0.452969\pi\) | |||||||
\(572\) | 20292.7 | − | 14743.5i | 1.48336 | − | 1.07772i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 60094.3 | 4.36984 | ||||||||
\(575\) | −14418.9 | − | 5584.28i | −1.04576 | − | 0.405009i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 3968.83 | + | 12214.8i | 0.286351 | + | 0.881297i | 0.985991 | + | 0.166801i | \(0.0533439\pi\) |
−0.699640 | + | 0.714496i | \(0.746656\pi\) | |||||||
\(578\) | −11055.7 | + | 8032.41i | −0.795597 | + | 0.578035i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 21619.3 | − | 2813.45i | 1.54774 | − | 0.201417i | ||||
\(581\) | −18493.3 | − | 13436.2i | −1.32054 | − | 0.959425i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −6449.27 | − | 4685.67i | −0.458150 | − | 0.332866i | ||||
\(584\) | 1547.79 | − | 4763.61i | 0.109671 | − | 0.337533i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −11144.1 | − | 34297.9i | −0.785593 | − | 2.41781i | ||||
\(587\) | 2104.99 | − | 6478.50i | 0.148011 | − | 0.455530i | −0.849375 | − | 0.527790i | \(-0.823021\pi\) |
0.997386 | + | 0.0722593i | \(0.0230209\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 367.982 | + | 1132.53i | 0.0257427 | + | 0.0792278i | ||||
\(590\) | 4423.34 | + | 9309.42i | 0.308655 | + | 0.649598i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −4288.27 | − | 3115.61i | −0.297714 | − | 0.216302i | ||||
\(593\) | 20641.3 | 1.42941 | 0.714703 | − | 0.699428i | \(-0.246562\pi\) | ||||
0.714703 | + | 0.699428i | \(0.246562\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −2857.49 | + | 15290.4i | −0.196883 | + | 1.05352i | ||||
\(596\) | −23983.3 | + | 17424.9i | −1.64831 | + | 1.19757i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −12446.7 | − | 38307.0i | −0.851142 | − | 2.61955i | ||||
\(599\) | 15650.0 | 1.06751 | 0.533757 | − | 0.845638i | \(-0.320780\pi\) | ||||
0.533757 | + | 0.845638i | \(0.320780\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −17812.8 | −1.20898 | −0.604491 | − | 0.796612i | \(-0.706623\pi\) | ||||
−0.604491 | + | 0.796612i | \(0.706623\pi\) | |||||||
\(602\) | 1862.67 | + | 5732.71i | 0.126108 | + | 0.388119i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −20880.6 | + | 15170.7i | −1.40666 | + | 1.02200i | ||||
\(605\) | −2938.70 | − | 1601.26i | −0.197480 | − | 0.107604i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −22919.5 | −1.53258 | −0.766290 | − | 0.642495i | \(-0.777899\pi\) | ||||
−0.766290 | + | 0.642495i | \(0.777899\pi\) | |||||||
\(608\) | −733.716 | − | 533.076i | −0.0489409 | − | 0.0355577i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −7864.93 | − | 4285.50i | −0.522035 | − | 0.284450i | ||||
\(611\) | 10936.3 | + | 33658.6i | 0.724119 | + | 2.22861i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −2407.59 | + | 7409.79i | −0.158632 | + | 0.488220i | −0.998511 | − | 0.0545546i | \(-0.982626\pi\) |
0.839879 | + | 0.542774i | \(0.182626\pi\) | |||||||
\(614\) | 3766.13 | + | 11591.0i | 0.247538 | + | 0.761845i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 3197.48 | − | 9840.82i | 0.209140 | − | 0.643666i | ||||
\(617\) | 24594.0 | + | 17868.6i | 1.60473 | + | 1.16590i | 0.877593 | + | 0.479406i | \(0.159148\pi\) |
0.727134 | + | 0.686496i | \(0.240852\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 16760.8 | + | 12177.5i | 1.08833 | + | 0.790716i | 0.979116 | − | 0.203302i | \(-0.0651674\pi\) |
0.109212 | + | 0.994019i | \(0.465167\pi\) | |||||||
\(620\) | −16254.5 | − | 34209.5i | −1.05290 | − | 2.21595i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −23326.2 | + | 16947.5i | −1.50369 | + | 1.09250i | ||||
\(623\) | −3078.79 | − | 9475.53i | −0.197992 | − | 0.609356i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −3157.43 | − | 15302.7i | −0.202075 | − | 0.979370i | ||||
\(626\) | −14124.1 | −0.901778 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −18156.4 | + | 13191.4i | −1.15369 | + | 0.838208i | ||||
\(629\) | 4328.43 | − | 3144.79i | 0.274381 | − | 0.199350i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 18557.5 | + | 13482.8i | 1.17078 | + | 0.850624i | 0.991102 | − | 0.133101i | \(-0.0424935\pi\) |
0.179681 | + | 0.983725i | \(0.442493\pi\) | |||||||
\(632\) | 3501.38 | 0.220376 | ||||||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 4377.12 | − | 13471.4i | 0.274192 | − | 0.843876i | ||||
\(635\) | 9327.59 | − | 8825.16i | 0.582920 | − | 0.551521i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 18529.9 | − | 57029.1i | 1.15256 | − | 3.54722i | ||||
\(638\) | −8070.00 | + | 24836.9i | −0.500775 | + | 1.54123i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 11571.1 | + | 6304.95i | 0.714669 | + | 0.389414i | ||||
\(641\) | −5387.35 | + | 16580.5i | −0.331962 | + | 1.02167i | 0.636238 | + | 0.771493i | \(0.280490\pi\) |
−0.968199 | + | 0.250180i | \(0.919510\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 29188.0 | 1.79014 | 0.895072 | − | 0.445921i | \(-0.147124\pi\) | ||||
0.895072 | + | 0.445921i | \(0.147124\pi\) | |||||||
\(644\) | −34455.6 | − | 25033.5i | −2.10829 | − | 1.53176i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 515.105 | − | 374.246i | 0.0313724 | − | 0.0227934i | ||||
\(647\) | −1185.75 | + | 861.499i | −0.0720506 | + | 0.0523478i | −0.623227 | − | 0.782041i | \(-0.714179\pi\) |
0.551177 | + | 0.834388i | \(0.314179\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −6932.35 | −0.419289 | ||||||||
\(650\) | 25708.6 | − | 31554.6i | 1.55134 | − | 1.90411i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −1544.74 | − | 4754.21i | −0.0927862 | − | 0.285567i | ||||
\(653\) | 5424.96 | − | 3941.46i | 0.325107 | − | 0.236204i | −0.413244 | − | 0.910620i | \(-0.635605\pi\) |
0.738352 | + | 0.674416i | \(0.235605\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −612.083 | + | 3275.25i | −0.0365131 | + | 0.195381i | ||||
\(656\) | −13889.2 | − | 10091.1i | −0.826651 | − | 0.600597i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 53917.2 | + | 39173.1i | 3.19439 | + | 2.32086i | ||||
\(659\) | 360.964 | − | 1110.93i | 0.0213371 | − | 0.0656689i | −0.939821 | − | 0.341667i | \(-0.889008\pi\) |
0.961158 | + | 0.275998i | \(0.0890084\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 811.577 | + | 2497.78i | 0.0477559 | + | 0.146978i | 0.972091 | − | 0.234604i | \(-0.0753794\pi\) |
−0.924335 | + | 0.381582i | \(0.875379\pi\) | |||||||
\(662\) | 9888.89 | − | 30434.9i | 0.580578 | − | 1.78684i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −2014.53 | − | 6200.07i | −0.117739 | − | 0.362364i | ||||
\(665\) | −248.570 | + | 1330.09i | −0.0144949 | + | 0.0775621i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 19049.7 | + | 13840.4i | 1.10586 | + | 0.803452i | ||||
\(668\) | −37791.7 | −2.18893 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 13072.6 | − | 1701.22i | 0.753788 | − | 0.0980951i | ||||
\(671\) | 4873.71 | − | 3540.96i | 0.280399 | − | 0.203722i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −6129.43 | − | 18864.4i | −0.351073 | − | 1.08049i | −0.958252 | − | 0.285926i | \(-0.907699\pi\) |
0.607179 | − | 0.794565i | \(-0.292301\pi\) | |||||||
\(674\) | 34527.0 | 1.97319 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 37026.4 | 2.10664 | ||||||||
\(677\) | 1227.06 | + | 3776.51i | 0.0696600 | + | 0.214392i | 0.979826 | − | 0.199852i | \(-0.0640462\pi\) |
−0.910166 | + | 0.414244i | \(0.864046\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −6248.59 | + | 4539.87i | −0.353165 | + | 0.256589i | ||||
\(680\) | −3222.42 | + | 3048.85i | −0.181727 | + | 0.171938i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 45368.4 | 2.54728 | ||||||||
\(683\) | 9447.69 | + | 6864.15i | 0.529291 | + | 0.384552i | 0.820092 | − | 0.572231i | \(-0.193922\pi\) |
−0.290802 | + | 0.956783i | \(0.593922\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −24191.1 | + | 3148.13i | −1.34933 | + | 0.175597i | ||||
\(686\) | −19678.3 | − | 60563.5i | −1.09522 | − | 3.37074i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 532.136 | − | 1637.75i | 0.0294876 | − | 0.0907536i | ||||
\(689\) | −5846.65 | − | 17994.1i | −0.323279 | − | 0.994952i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −10114.6 | + | 31129.6i | −0.556844 | + | 1.71379i | 0.134181 | + | 0.990957i | \(0.457160\pi\) |
−0.691024 | + | 0.722831i | \(0.742840\pi\) | |||||||
\(692\) | −25998.0 | − | 18888.7i | −1.42817 | − | 1.03763i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −35087.4 | − | 25492.5i | −1.91916 | − | 1.39435i | ||||
\(695\) | −17253.8 | + | 16324.5i | −0.941691 | + | 0.890967i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 14019.3 | − | 10185.6i | 0.761863 | − | 0.553526i | ||||
\(698\) | −1207.76 | − | 3717.10i | −0.0654934 | − | 0.201568i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 2380.52 | − | 42971.2i | 0.128536 | − | 2.32023i | ||||
\(701\) | 25681.6 | 1.38371 | 0.691855 | − | 0.722036i | \(-0.256794\pi\) | ||||
0.691855 | + | 0.722036i | \(0.256794\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 376.525 | − | 273.562i | 0.0202005 | − | 0.0146765i | ||||
\(704\) | −19428.0 | + | 14115.2i | −1.04008 | + | 0.755665i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 274.992 | + | 199.794i | 0.0146593 | + | 0.0106506i | ||||
\(707\) | 17276.0 | 0.918999 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 8535.60 | − | 26269.9i | 0.452132 | − | 1.39152i | −0.422338 | − | 0.906438i | \(-0.638791\pi\) |
0.874470 | − | 0.485080i | \(-0.161209\pi\) | |||||||
\(710\) | −3566.36 | + | 19083.6i | −0.188512 | + | 1.00872i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 878.038 | − | 2702.32i | 0.0462161 | − | 0.142239i | ||||
\(713\) | 12640.8 | − | 38904.4i | 0.663958 | − | 2.04345i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 11748.7 | + | 24726.5i | 0.614513 | + | 1.29331i | ||||
\(716\) | −3019.74 | + | 9293.80i | −0.157616 | + | 0.485092i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 26717.0 | 1.38868 | ||||||||
\(719\) | 4433.43 | + | 3221.08i | 0.229957 | + | 0.167074i | 0.696797 | − | 0.717268i | \(-0.254608\pi\) |
−0.466840 | + | 0.884342i | \(0.654608\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 2591.17 | − | 1882.59i | 0.133842 | − | 0.0972419i | ||||
\(722\) | −23656.9 | + | 17187.7i | −1.21942 | + | 0.885957i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −1589.67 | −0.0816018 | ||||||||
\(725\) | −1316.13 | + | 23757.7i | −0.0674205 | + | 1.21702i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −7275.89 | − | 22392.9i | −0.371180 | − | 1.14237i | −0.946020 | − | 0.324109i | \(-0.894936\pi\) |
0.574840 | − | 0.818266i | \(-0.305064\pi\) | |||||||
\(728\) | 19868.0 | − | 14434.9i | 1.01148 | − | 0.734883i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 21912.8 | + | 11940.0i | 1.11100 | + | 0.605368i | ||||
\(731\) | 1406.20 | + | 1021.66i | 0.0711493 | + | 0.0516930i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −6158.96 | − | 4474.74i | −0.310350 | − | 0.225482i | 0.421697 | − | 0.906737i | \(-0.361435\pi\) |
−0.732046 | + | 0.681255i | \(0.761435\pi\) | |||||||
\(734\) | 3389.40 | − | 10431.5i | 0.170443 | − | 0.524570i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 9627.22 | + | 29629.5i | 0.482152 | + | 1.48391i | ||||
\(737\) | −2739.96 | + | 8432.74i | −0.136944 | + | 0.421471i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −3949.52 | − | 12155.4i | −0.196597 | − | 0.605064i | −0.999954 | − | 0.00956656i | \(-0.996955\pi\) |
0.803357 | − | 0.595498i | \(-0.203045\pi\) | |||||||
\(740\) | −10752.7 | + | 10173.5i | −0.534159 | + | 0.505387i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −28824.5 | − | 20942.3i | −1.42612 | − | 1.03614i | ||||
\(743\) | 8636.53 | 0.426438 | 0.213219 | − | 0.977004i | \(-0.431605\pi\) | ||||
0.213219 | + | 0.977004i | \(0.431605\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −13885.4 | − | 29223.4i | −0.682848 | − | 1.43713i | ||||
\(746\) | 32163.4 | − | 23368.1i | 1.57853 | − | 1.14687i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −4209.02 | − | 12954.0i | −0.205745 | − | 0.633217i | ||||
\(749\) | −26228.1 | −1.27951 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −13862.3 | −0.673558 | −0.336779 | − | 0.941584i | \(-0.609338\pi\) | ||||
−0.336779 | + | 0.941584i | \(0.609338\pi\) | |||||||
\(752\) | −5883.54 | − | 18107.7i | −0.285307 | − | 0.878084i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −50144.1 | + | 36431.8i | −2.42194 | + | 1.75964i | ||||
\(755\) | −12089.1 | − | 25442.9i | −0.582738 | − | 1.22644i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −34297.7 | −1.64673 | −0.823364 | − | 0.567514i | \(-0.807905\pi\) | ||||
−0.823364 | + | 0.567514i | \(0.807905\pi\) | |||||||
\(758\) | −7629.15 | − | 5542.90i | −0.365571 | − | 0.265603i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −280.315 | + | 265.216i | −0.0133791 | + | 0.0126584i | ||||
\(761\) | 9289.71 | + | 28590.8i | 0.442512 | + | 1.36191i | 0.885189 | + | 0.465231i | \(0.154029\pi\) |
−0.442678 | + | 0.896681i | \(0.645971\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 6389.94 | − | 19666.2i | 0.303186 | − | 0.933112i | ||||
\(764\) | 4347.54 | + | 13380.3i | 0.205875 | + | 0.633618i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −16991.2 | + | 52293.7i | −0.801460 | + | 2.46664i | ||||
\(767\) | −13311.0 | − | 9670.98i | −0.626638 | − | 0.455279i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 6704.47 | + | 4871.08i | 0.314395 | + | 0.228421i | 0.733780 | − | 0.679387i | \(-0.237754\pi\) |
−0.419385 | + | 0.907808i | \(0.637754\pi\) | |||||||
\(770\) | 45268.1 | + | 24666.0i | 2.11864 | + | 1.15442i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −21258.4 | + | 15445.1i | −0.991070 | + | 0.720055i | ||||
\(773\) | −1109.96 | − | 3416.11i | −0.0516463 | − | 0.158951i | 0.921907 | − | 0.387412i | \(-0.126631\pi\) |
−0.973553 | + | 0.228461i | \(0.926631\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 39959.7 | − | 10579.6i | 1.85212 | − | 0.490360i | ||||
\(776\) | −2202.72 | −0.101898 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −43303.6 | + | 31461.9i | −1.99551 | + | 1.44982i | ||||
\(779\) | 1219.52 | − | 886.036i | 0.0560898 | − | 0.0407516i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −10563.9 | − | 7675.14i | −0.484004 | − | 0.351649i | ||||
\(782\) | −21871.9 | −1.00018 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −9968.73 | + | 30680.6i | −0.454115 | + | 1.39762i | ||||
\(785\) | −10511.9 | − | 22123.4i | −0.477942 | − | 1.00588i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 692.596 | − | 2131.59i | 0.0313702 | − | 0.0965477i | −0.934145 | − | 0.356893i | \(-0.883836\pi\) |
0.965516 | + | 0.260345i | \(0.0838362\pi\) | |||||||
\(788\) | 4361.93 | − | 13424.7i | 0.197192 | − | 0.606895i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −3204.59 | + | 17147.7i | −0.144322 | + | 0.772264i | ||||
\(791\) | −4375.24 | + | 13465.6i | −0.196669 | + | 0.605286i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 14297.9 | 0.640271 | ||||||||
\(794\) | 44090.2 | + | 32033.4i | 1.97066 | + | 1.43177i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 8196.17 | − | 5954.87i | 0.364957 | − | 0.265157i | ||||
\(797\) | −994.815 | + | 722.775i | −0.0442135 | + | 0.0321230i | −0.609673 | − | 0.792653i | \(-0.708699\pi\) |
0.565459 | + | 0.824776i | \(0.308699\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 19217.9 | 0.850913 | ||||||||
\(800\) | −19885.0 | + | 24406.8i | −0.878800 | + | 1.07864i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 6546.93 | + | 20149.4i | 0.288254 | + | 0.887156i | ||||
\(803\) | −13578.8 | + | 9865.60i | −0.596745 | + | 0.433561i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 33764.5 | − | 31945.8i | 1.47832 | − | 1.39869i | ||||
\(806\) | 87113.0 | + | 63291.3i | 3.80698 | + | 2.76593i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 3985.99 | + | 2895.99i | 0.173548 | + | 0.126090i | ||||
\(809\) | −11526.7 | + | 35475.6i | −0.500938 | + | 1.54173i | 0.306557 | + | 0.951852i | \(0.400823\pi\) |
−0.807495 | + | 0.589875i | \(0.799177\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −2563.92 | − | 7890.95i | −0.111013 | − | 0.341663i | 0.880082 | − | 0.474823i | \(-0.157488\pi\) |
−0.991095 | + | 0.133159i | \(0.957488\pi\) | |||||||
\(812\) | −20252.4 | + | 62330.3i | −0.875269 | + | 2.69380i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −5479.35 | − | 16863.7i | −0.235935 | − | 0.726133i | ||||
\(815\) | 5410.14 | − | 704.055i | 0.232526 | − | 0.0302601i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 122.324 | + | 88.8733i | 0.00523814 | + | 0.00380573i | ||||
\(818\) | −48364.8 | −2.06728 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −34826.9 | + | 32950.9i | −1.48318 | + | 1.40329i | ||||
\(821\) | 19554.3 | − | 14207.1i | 0.831243 | − | 0.603934i | −0.0886674 | − | 0.996061i | \(-0.528261\pi\) |
0.919911 | + | 0.392128i | \(0.128261\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 8334.88 | + | 25652.1i | 0.353020 | + | 1.08648i | 0.957149 | + | 0.289598i | \(0.0935215\pi\) |
−0.604128 | + | 0.796887i | \(0.706479\pi\) | |||||||
\(824\) | 913.422 | 0.0386172 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −30983.6 | −1.30515 | ||||||||
\(827\) | −3670.53 | − | 11296.7i | −0.154337 | − | 0.475001i | 0.843756 | − | 0.536727i | \(-0.180340\pi\) |
−0.998093 | + | 0.0617260i | \(0.980340\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −21788.3 | + | 15830.1i | −0.912833 | + | 0.663212i | −0.941730 | − | 0.336370i | \(-0.890801\pi\) |
0.0288964 | + | 0.999582i | \(0.490801\pi\) | |||||||
\(830\) | 32208.1 | − | 4191.44i | 1.34694 | − | 0.175285i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −56995.5 | −2.37496 | ||||||||
\(833\) | −26342.9 | − | 19139.2i | −1.09571 | − | 0.796081i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 7576.89 | − | 40543.8i | 0.314023 | − | 1.68033i | ||||
\(836\) | −366.138 | − | 1126.86i | −0.0151473 | − | 0.0466186i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −15203.1 | + | 46790.4i | −0.626710 | + | 1.92881i | ||||
\(839\) | 6699.29 | + | 20618.3i | 0.275668 | + | 0.848418i | 0.989042 | + | 0.147635i | \(0.0471659\pi\) |
−0.713374 | + | 0.700783i | \(0.752834\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 3660.43 | − | 11265.6i | 0.150085 | − | 0.461915i | ||||
\(842\) | −8408.41 | − | 6109.07i | −0.344148 | − | 0.250038i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −16266.9 | − | 11818.6i | −0.663424 | − | 0.482006i | ||||
\(845\) | −7423.45 | + | 39722.8i | −0.302218 | + | 1.61717i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 8139.03 | − | 5913.35i | 0.330178 | − | 0.239888i | ||||
\(848\) | 3145.39 | + | 9680.51i | 0.127374 | + | 0.392016i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −11982.2 | − | 18571.9i | −0.483512 | − | 0.749426i | ||||
\(851\) | −15987.7 | −0.644007 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −22494.3 | + | 16343.1i | −0.902919 | + | 0.656009i | −0.939214 | − | 0.343332i | \(-0.888444\pi\) |
0.0362948 | + | 0.999341i | \(0.488444\pi\) | |||||||
\(854\) | 21782.7 | − | 15826.1i | 0.872820 | − | 0.634141i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −6051.45 | − | 4396.63i | −0.241629 | − | 0.175553i | ||||
\(857\) | 34445.3 | 1.37296 | 0.686482 | − | 0.727147i | \(-0.259154\pi\) | ||||
0.686482 | + | 0.727147i | \(0.259154\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −7164.69 | + | 22050.7i | −0.284582 | + | 0.875854i | 0.701941 | + | 0.712235i | \(0.252317\pi\) |
−0.986524 | + | 0.163619i | \(0.947683\pi\) | |||||||
\(860\) | −4222.85 | − | 2300.98i | −0.167439 | − | 0.0912356i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 11601.7 | − | 35706.4i | 0.458417 | − | 1.41086i | ||||
\(863\) | 10355.6 | − | 31871.3i | 0.408470 | − | 1.25714i | −0.509494 | − | 0.860474i | \(-0.670167\pi\) |
0.917963 | − | 0.396666i | \(-0.129833\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 25476.6 | − | 24104.3i | 1.00142 | − | 0.947480i | ||||
\(866\) | −10109.6 | + | 31114.0i | −0.396694 | + | 1.22090i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 113856. | 4.45222 | ||||||||
\(869\) | −9492.33 | − | 6896.58i | −0.370547 | − | 0.269218i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −17025.2 | + | 12369.5i | −0.662314 | + | 0.481200i | ||||
\(872\) | 4770.96 | − | 3466.31i | 0.185281 | − | 0.134615i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −1902.62 | −0.0736349 | ||||||||
\(875\) | 45623.3 | + | 11169.2i | 1.76268 | + | 0.431529i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −1943.07 | − | 5980.14i | −0.0748149 | − | 0.230257i | 0.906655 | − | 0.421873i | \(-0.138627\pi\) |
−0.981470 | + | 0.191616i | \(0.938627\pi\) | |||||||
\(878\) | 17770.6 | − | 12911.1i | 0.683061 | − | 0.496273i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −6320.59 | − | 13302.4i | −0.242122 | − | 0.509572i | ||||
\(881\) | −37499.2 | − | 27244.8i | −1.43403 | − | 1.04188i | −0.989248 | − | 0.146246i | \(-0.953281\pi\) |
−0.444783 | − | 0.895638i | \(-0.646719\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 5645.20 | + | 4101.48i | 0.215149 | + | 0.156315i | 0.690140 | − | 0.723676i | \(-0.257549\pi\) |
−0.474992 | + | 0.879990i | \(0.657549\pi\) | |||||||
\(884\) | 9989.70 | − | 30745.1i | 0.380079 | − | 1.16976i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 5077.69 | + | 15627.5i | 0.192537 | + | 0.592569i | ||||
\(887\) | −2086.86 | + | 6422.69i | −0.0789965 | + | 0.243126i | −0.982754 | − | 0.184919i | \(-0.940798\pi\) |
0.903757 | + | 0.428045i | \(0.140798\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 11928.4 | + | 36711.8i | 0.450017 | + | 1.38501i | ||||
\(890\) | 12430.8 | + | 6773.38i | 0.468181 | + | 0.255106i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −28523.0 | − | 20723.2i | −1.07065 | − | 0.777874i | ||||
\(893\) | 1671.74 | 0.0626458 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −9365.18 | − | 5102.97i | −0.349769 | − | 0.190585i | ||||
\(896\) | −32047.3 | + | 23283.7i | −1.19489 | + | 0.868142i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −2231.95 | − | 6869.25i | −0.0829413 | − | 0.255267i | ||||
\(899\) | −62948.3 | −2.33531 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −10274.0 | −0.379886 | ||||||||
\(902\) | −17747.0 | − | 54619.6i | −0.655111 | − | 2.01622i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −3266.71 | + | 2373.40i | −0.120187 | + | 0.0873211i | ||||
\(905\) | 318.715 | − | 1705.44i | 0.0117066 | − | 0.0626417i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 50129.5 | 1.83519 | 0.917597 | − | 0.397511i | \(-0.130126\pi\) | ||||
0.917597 | + | 0.397511i | \(0.130126\pi\) | |||||||
\(908\) | −13907.6 | − | 10104.4i | −0.508302 | − | 0.369303i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 52510.0 | + | 110513.i | 1.91285 | + | 4.02580i | ||||
\(911\) | 3220.77 | + | 9912.52i | 0.117134 | + | 0.360501i | 0.992386 | − | 0.123166i | \(-0.0393047\pi\) |
−0.875252 | + | 0.483667i | \(0.839305\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −6750.69 | + | 20776.5i | −0.244705 | + | 0.753123i | ||||
\(914\) | 487.291 | + | 1499.73i | 0.0176347 | + | 0.0542741i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −1706.50 | + | 5252.08i | −0.0615551 | + | 0.189447i | ||||
\(917\) | −8103.30 | − | 5887.39i | −0.291815 | − | 0.212016i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −19295.9 | − | 14019.3i | −0.692616 | − | 0.503215i | 0.184903 | − | 0.982757i | \(-0.440803\pi\) |
−0.877519 | + | 0.479542i | \(0.840803\pi\) | |||||||
\(920\) | 13145.4 | − | 1710.69i | 0.471076 | − | 0.0613040i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 9085.50 | − | 6601.00i | 0.324528 | − | 0.235784i | ||||
\(923\) | −9576.83 | − | 29474.4i | −0.341522 | − | 1.05110i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −8758.59 | − | 13575.5i | −0.311330 | − | 0.482550i | ||||
\(926\) | −8127.05 | −0.288414 | ||||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 38785.3 | − | 28179.2i | 1.37197 | − | 0.996796i | ||||
\(929\) | 38494.5 | − | 27967.9i | 1.35949 | − | 0.987726i | 0.361010 | − | 0.932562i | \(-0.382432\pi\) |
0.998477 | − | 0.0551637i | \(-0.0175681\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −2291.54 | − | 1664.90i | −0.0806684 | − | 0.0586090i | ||||
\(932\) | 31515.1 | 1.10763 | ||||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 14525.7 | − | 44705.4i | 0.508881 | − | 1.56617i | ||||
\(935\) | 14741.3 | − | 1918.37i | 0.515606 | − | 0.0670989i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −7306.25 | + | 22486.3i | −0.254733 | + | 0.783987i | 0.739149 | + | 0.673542i | \(0.235228\pi\) |
−0.993882 | + | 0.110446i | \(0.964772\pi\) | |||||||
\(938\) | −12246.1 | + | 37689.5i | −0.426277 | + | 1.31195i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −52726.5 | + | 6861.62i | −1.82952 | + | 0.238087i | ||||
\(941\) | 6843.90 | − | 21063.4i | 0.237093 | − | 0.729698i | −0.759744 | − | 0.650223i | \(-0.774676\pi\) |
0.996837 | − | 0.0794751i | \(-0.0253244\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −51782.3 | −1.78819 | ||||||||
\(944\) | 7161.05 | + | 5202.81i | 0.246899 | + | 0.179382i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 4660.37 | − | 3385.95i | 0.160171 | − | 0.116371i | ||||
\(947\) | −21088.8 | + | 15321.9i | −0.723648 | + | 0.525761i | −0.887548 | − | 0.460716i | \(-0.847593\pi\) |
0.163900 | + | 0.986477i | \(0.447593\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −39836.0 | −1.36263 | ||||||||
\(950\) | −1042.32 | − | 1615.55i | −0.0355971 | − | 0.0551742i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −4120.92 | − | 12682.9i | −0.140294 | − | 0.431781i | ||||
\(953\) | −27443.4 | + | 19938.8i | −0.932823 | + | 0.677736i | −0.946682 | − | 0.322168i | \(-0.895588\pi\) |
0.0138594 | + | 0.999904i | \(0.495588\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −15226.4 | + | 1981.51i | −0.515932 | + | 0.0671414i | ||||
\(956\) | 3613.74 | + | 2625.54i | 0.122256 | + | 0.0888242i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −47216.3 | − | 34304.6i | −1.59237 | − | 1.15692i | ||||
\(959\) | 22661.6 | − | 69745.1i | 0.763065 | − | 2.34847i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 24587.2 | + | 75671.7i | 0.825324 | + | 2.54009i | ||||
\(962\) | 13004.7 | − | 40024.3i | 0.435850 | − | 1.34141i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 12702.5 | + | 39094.1i | 0.424397 | + | 1.30616i | ||||
\(965\) | −12307.8 | − | 25903.1i | −0.410572 | − | 0.864094i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 17639.8 | + | 12816.1i | 0.586617 | + | 0.426202i | 0.841103 | − | 0.540874i | \(-0.181907\pi\) |
−0.254487 | + | 0.967076i | \(0.581907\pi\) | |||||||
\(968\) | 2869.12 | 0.0952656 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 2016.00 | − | 10787.6i | 0.0667320 | − | 0.357082i | ||||
\(971\) | −42269.2 | + | 30710.4i | −1.39700 | + | 1.01498i | −0.401939 | + | 0.915667i | \(0.631664\pi\) |
−0.995057 | + | 0.0993099i | \(0.968336\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −22064.7 | − | 67908.1i | −0.726990 | − | 2.23745i | ||||
\(974\) | 21078.6 | 0.693432 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −7692.03 | −0.252270 | ||||||||
\(977\) | 12234.1 | + | 37652.6i | 0.400617 | + | 1.23297i | 0.924500 | + | 0.381183i | \(0.124483\pi\) |
−0.523882 | + | 0.851791i | \(0.675517\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −7703.07 | + | 5596.61i | −0.251472 | + | 0.182705i | ||||
\(980\) | 79108.4 | + | 43105.2i | 2.57860 | + | 1.40505i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −1860.22 | −0.0604502 | ||||||||
\(983\) | −20906.9 | − | 15189.8i | −0.678359 | − | 0.492857i | 0.194454 | − | 0.980912i | \(-0.437707\pi\) |
−0.872813 | + | 0.488055i | \(0.837707\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 13527.8 | + | 7371.11i | 0.437594 | + | 0.238440i | ||||
\(986\) | 10400.6 | + | 32009.9i | 0.335927 | + | 1.03388i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 868.993 | − | 2674.49i | 0.0279821 | − | 0.0861202i | ||||
\(989\) | −1605.03 | − | 4939.78i | −0.0516047 | − | 0.158823i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −2506.63 | + | 7714.61i | −0.0803488 | + | 0.247288i | −0.983159 | − | 0.182750i | \(-0.941500\pi\) |
0.902811 | + | 0.430038i | \(0.141500\pi\) | |||||||
\(992\) | −67379.9 | − | 48954.3i | −2.15656 | − | 1.56684i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −47214.7 | − | 34303.5i | −1.50660 | − | 1.09461i | ||||
\(995\) | 4745.27 | + | 9986.95i | 0.151191 | + | 0.318199i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −10032.6 | + | 7289.10i | −0.318691 | + | 0.231543i | −0.735617 | − | 0.677398i | \(-0.763108\pi\) |
0.416926 | + | 0.908941i | \(0.363108\pi\) | |||||||
\(998\) | −4525.64 | − | 13928.5i | −0.143544 | − | 0.441782i | ||||
\(999\) | 0 | 0 |
(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 | 225.4.h.d.181.3 | yes | 64 | |
3.2 | odd | 2 | inner | 225.4.h.d.181.14 | yes | 64 | |
25.21 | even | 5 | inner | 225.4.h.d.46.3 | ✓ | 64 | |
75.71 | odd | 10 | inner | 225.4.h.d.46.14 | yes | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
225.4.h.d.46.3 | ✓ | 64 | 25.21 | even | 5 | inner | |
225.4.h.d.46.14 | yes | 64 | 75.71 | odd | 10 | inner | |
225.4.h.d.181.3 | yes | 64 | 1.1 | even | 1 | trivial | |
225.4.h.d.181.14 | yes | 64 | 3.2 | odd | 2 | inner |