Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [504,2,Mod(125,504)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(504, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([0, 1, 1, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("504.125");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 504 = 2^{3} \cdot 3^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 504.i (of order \(2\), degree \(1\), 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: | \(4.02446026187\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 125.1 | ||
Character | \(\chi\) | \(=\) | 504.125 |
Dual form | 504.2.i.b.125.4 |
$q$-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 \(\left(\mathbb{Z}/504\mathbb{Z}\right)^\times\).
\(n\) | \(73\) | \(127\) | \(253\) | \(281\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(-1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.39273 | − | 0.245576i | −0.984808 | − | 0.173648i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 1.87939 | + | 0.684040i | 0.939693 | + | 0.342020i | ||||
\(5\) | − | 2.37285i | − | 1.06117i | −0.847632 | − | 0.530585i | \(-0.821972\pi\) | ||
0.847632 | − | 0.530585i | \(-0.178028\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −1.53209 | + | 2.15701i | −0.579075 | + | 0.815274i | ||||
\(8\) | −2.44949 | − | 1.41421i | −0.866025 | − | 0.500000i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −0.582714 | + | 3.30474i | −0.184270 | + | 1.04505i | ||||
\(11\) | −0.335967 | −0.101298 | −0.0506490 | − | 0.998717i | \(-0.516129\pi\) | ||||
−0.0506490 | + | 0.998717i | \(0.516129\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −6.30668 | −1.74916 | −0.874580 | − | 0.484882i | \(-0.838863\pi\) | ||||
−0.874580 | + | 0.484882i | \(0.838863\pi\) | |||||||
\(14\) | 2.66349 | − | 2.62789i | 0.711849 | − | 0.702333i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 3.06418 | + | 2.57115i | 0.766044 | + | 0.642788i | ||||
\(17\) | −4.10990 | −0.996796 | −0.498398 | − | 0.866948i | \(-0.666078\pi\) | ||||
−0.498398 | + | 0.866948i | \(0.666078\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 2.19029 | 0.502487 | 0.251243 | − | 0.967924i | \(-0.419161\pi\) | ||||
0.251243 | + | 0.967924i | \(0.419161\pi\) | |||||||
\(20\) | 1.62312 | − | 4.45950i | 0.362942 | − | 0.997174i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0.467911 | + | 0.0825054i | 0.0997590 | + | 0.0175902i | ||||
\(23\) | 6.23877i | 1.30087i | 0.759561 | + | 0.650436i | \(0.225414\pi\) | ||||
−0.759561 | + | 0.650436i | \(0.774586\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.630415 | −0.126083 | ||||||||
\(26\) | 8.78350 | + | 1.54877i | 1.72259 | + | 0.303738i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −4.35487 | + | 3.00585i | −0.822993 | + | 0.568052i | ||||
\(29\) | −4.38425 | −0.814134 | −0.407067 | − | 0.913398i | \(-0.633449\pi\) | ||||
−0.407067 | + | 0.913398i | \(0.633449\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | − | 8.10772i | − | 1.45619i | −0.685477 | − | 0.728094i | \(-0.740406\pi\) | ||
0.685477 | − | 0.728094i | \(-0.259594\pi\) | |||||||
\(32\) | −3.63616 | − | 4.33340i | −0.642788 | − | 0.766044i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 5.72397 | + | 1.00929i | 0.981653 | + | 0.173092i | ||||
\(35\) | 5.11827 | + | 3.63542i | 0.865145 | + | 0.614498i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 9.97448i | 1.63979i | 0.572510 | + | 0.819897i | \(0.305970\pi\) | ||||
−0.572510 | + | 0.819897i | \(0.694030\pi\) | |||||||
\(38\) | −3.05048 | − | 0.537881i | −0.494853 | − | 0.0872559i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −3.35572 | + | 5.81227i | −0.530585 | + | 0.919001i | ||||
\(41\) | −7.35615 | −1.14884 | −0.574418 | − | 0.818562i | \(-0.694772\pi\) | ||||
−0.574418 | + | 0.818562i | \(0.694772\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 0.892951i | 0.136174i | 0.997679 | + | 0.0680869i | \(0.0216895\pi\) | ||||
−0.997679 | + | 0.0680869i | \(0.978310\pi\) | |||||||
\(44\) | −0.631412 | − | 0.229815i | −0.0951889 | − | 0.0346459i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 1.53209 | − | 8.68891i | 0.225894 | − | 1.28111i | ||||
\(47\) | −9.34720 | −1.36343 | −0.681715 | − | 0.731618i | \(-0.738765\pi\) | ||||
−0.681715 | + | 0.731618i | \(0.738765\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −2.30541 | − | 6.60947i | −0.329344 | − | 0.944210i | ||||
\(50\) | 0.877997 | + | 0.154815i | 0.124168 | + | 0.0218941i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −11.8527 | − | 4.31403i | −1.64367 | − | 0.598248i | ||||
\(53\) | 0.748092 | 0.102758 | 0.0513792 | − | 0.998679i | \(-0.483638\pi\) | ||||
0.0513792 | + | 0.998679i | \(0.483638\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0.797200i | 0.107494i | ||||||||
\(56\) | 6.80331 | − | 3.11688i | 0.909131 | − | 0.416511i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 6.10607 | + | 1.07666i | 0.801766 | + | 0.141373i | ||||
\(59\) | 8.91900i | 1.16115i | 0.814205 | + | 0.580577i | \(0.197173\pi\) | ||||
−0.814205 | + | 0.580577i | \(0.802827\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −7.33154 | −0.938708 | −0.469354 | − | 0.883010i | \(-0.655513\pi\) | ||||
−0.469354 | + | 0.883010i | \(0.655513\pi\) | |||||||
\(62\) | −1.99106 | + | 11.2918i | −0.252865 | + | 1.43407i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 4.00000 | + | 6.92820i | 0.500000 | + | 0.866025i | ||||
\(65\) | 14.9648i | 1.85616i | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | − | 5.56012i | − | 0.679277i | −0.940556 | − | 0.339639i | \(-0.889695\pi\) | ||
0.940556 | − | 0.339639i | \(-0.110305\pi\) | |||||||
\(68\) | −7.72408 | − | 2.81133i | −0.936682 | − | 0.340924i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −6.23559 | − | 6.32007i | −0.745295 | − | 0.755393i | ||||
\(71\) | − | 2.08689i | − | 0.247668i | −0.992303 | − | 0.123834i | \(-0.960481\pi\) | ||
0.992303 | − | 0.123834i | \(-0.0395190\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 5.81227i | 0.680275i | 0.940376 | + | 0.340137i | \(0.110474\pi\) | ||||
−0.940376 | + | 0.340137i | \(0.889526\pi\) | |||||||
\(74\) | 2.44949 | − | 13.8917i | 0.284747 | − | 1.61488i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 4.11640 | + | 1.49825i | 0.472183 | + | 0.171861i | ||||
\(77\) | 0.514732 | − | 0.724686i | 0.0586591 | − | 0.0825856i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −9.27631 | −1.04367 | −0.521833 | − | 0.853047i | \(-0.674752\pi\) | ||||
−0.521833 | + | 0.853047i | \(0.674752\pi\) | |||||||
\(80\) | 6.10095 | − | 7.27083i | 0.682107 | − | 0.812904i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 10.2451 | + | 1.80649i | 1.13138 | + | 0.199493i | ||||
\(83\) | − | 1.64816i | − | 0.180910i | −0.995901 | − | 0.0904548i | \(-0.971168\pi\) | ||
0.995901 | − | 0.0904548i | \(-0.0288321\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 9.75216i | 1.05777i | ||||||||
\(86\) | 0.219287 | − | 1.24364i | 0.0236463 | − | 0.134105i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 0.822948 | + | 0.475129i | 0.0877266 | + | 0.0506490i | ||||
\(89\) | 11.3383 | 1.20185 | 0.600927 | − | 0.799304i | \(-0.294798\pi\) | ||||
0.600927 | + | 0.799304i | \(0.294798\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 9.66240 | − | 13.6036i | 1.01289 | − | 1.42604i | ||||
\(92\) | −4.26757 | + | 11.7250i | −0.444925 | + | 1.22242i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 13.0181 | + | 2.29544i | 1.34272 | + | 0.236757i | ||||
\(95\) | − | 5.19722i | − | 0.533224i | ||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | − | 2.81578i | − | 0.285899i | −0.989730 | − | 0.142950i | \(-0.954341\pi\) | ||
0.989730 | − | 0.142950i | \(-0.0456587\pi\) | |||||||
\(98\) | 1.58768 | + | 9.77135i | 0.160380 | + | 0.987055i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −1.18479 | − | 0.431229i | −0.118479 | − | 0.0431229i | ||||
\(101\) | − | 2.37285i | − | 0.236107i | −0.993007 | − | 0.118054i | \(-0.962335\pi\) | ||
0.993007 | − | 0.118054i | \(-0.0376655\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | − | 8.10772i | − | 0.798877i | −0.916760 | − | 0.399438i | \(-0.869205\pi\) | ||
0.916760 | − | 0.399438i | \(-0.130795\pi\) | |||||||
\(104\) | 15.4482 | + | 8.91900i | 1.51482 | + | 0.874580i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −1.04189 | − | 0.183713i | −0.101197 | − | 0.0178438i | ||||
\(107\) | 18.3115 | 1.77024 | 0.885121 | − | 0.465360i | \(-0.154075\pi\) | ||||
0.885121 | + | 0.465360i | \(0.154075\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | − | 16.4849i | − | 1.57896i | −0.613774 | − | 0.789482i | \(-0.710349\pi\) | ||
0.613774 | − | 0.789482i | \(-0.289651\pi\) | |||||||
\(110\) | 0.195773 | − | 1.11028i | 0.0186662 | − | 0.105861i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −10.2406 | + | 2.67024i | −0.967645 | + | 0.252314i | ||||
\(113\) | − | 4.88379i | − | 0.459429i | −0.973258 | − | 0.229714i | \(-0.926221\pi\) | ||
0.973258 | − | 0.229714i | \(-0.0737792\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 14.8037 | 1.38045 | ||||||||
\(116\) | −8.23969 | − | 2.99900i | −0.765036 | − | 0.278450i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 2.19029 | − | 12.4217i | 0.201632 | − | 1.14351i | ||||
\(119\) | 6.29673 | − | 8.86510i | 0.577220 | − | 0.812662i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −10.8871 | −0.989739 | ||||||||
\(122\) | 10.2108 | + | 1.80045i | 0.924447 | + | 0.163005i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 5.54600 | − | 15.2375i | 0.498046 | − | 1.36837i | ||||
\(125\) | − | 10.3684i | − | 0.927375i | ||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 15.1480 | 1.34416 | 0.672082 | − | 0.740477i | \(-0.265400\pi\) | ||||
0.672082 | + | 0.740477i | \(0.265400\pi\) | |||||||
\(128\) | −3.86952 | − | 10.6314i | −0.342020 | − | 0.939693i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 3.67499 | − | 20.8419i | 0.322318 | − | 1.82796i | ||||
\(131\) | 15.3129i | 1.33789i | 0.743312 | + | 0.668945i | \(0.233254\pi\) | ||||
−0.743312 | + | 0.668945i | \(0.766746\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −3.35572 | + | 4.72448i | −0.290977 | + | 0.409664i | ||||
\(134\) | −1.36543 | + | 7.74374i | −0.117955 | + | 0.668957i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 10.0671 | + | 5.81227i | 0.863251 | + | 0.498398i | ||||
\(137\) | − | 9.55834i | − | 0.816625i | −0.912842 | − | 0.408312i | \(-0.866117\pi\) | ||
0.912842 | − | 0.408312i | \(-0.133883\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 6.71143 | 0.569256 | 0.284628 | − | 0.958638i | \(-0.408130\pi\) | ||||
0.284628 | + | 0.958638i | \(0.408130\pi\) | |||||||
\(140\) | 7.13242 | + | 10.3334i | 0.602800 | + | 0.873336i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −0.512489 | + | 2.90647i | −0.0430071 | + | 0.243905i | ||||
\(143\) | 2.11884 | 0.177186 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 10.4032i | 0.863935i | ||||||||
\(146\) | 1.42735 | − | 8.09491i | 0.118128 | − | 0.669940i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −6.82295 | + | 18.7459i | −0.560843 | + | 1.54090i | ||||
\(149\) | −7.11511 | −0.582892 | −0.291446 | − | 0.956587i | \(-0.594136\pi\) | ||||
−0.291446 | + | 0.956587i | \(0.594136\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −4.28581 | −0.348774 | −0.174387 | − | 0.984677i | \(-0.555794\pi\) | ||||
−0.174387 | + | 0.984677i | \(0.555794\pi\) | |||||||
\(152\) | −5.36509 | − | 3.09754i | −0.435166 | − | 0.251243i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −0.894847 | + | 0.882885i | −0.0721088 | + | 0.0711449i | ||||
\(155\) | −19.2384 | −1.54526 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −7.33154 | −0.585121 | −0.292560 | − | 0.956247i | \(-0.594507\pi\) | ||||
−0.292560 | + | 0.956247i | \(0.594507\pi\) | |||||||
\(158\) | 12.9194 | + | 2.27804i | 1.02781 | + | 0.181231i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −10.2825 | + | 8.62805i | −0.812904 | + | 0.682107i | ||||
\(161\) | −13.4571 | − | 9.55834i | −1.06057 | − | 0.753303i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | − | 8.91652i | − | 0.698396i | −0.937049 | − | 0.349198i | \(-0.886454\pi\) | ||
0.937049 | − | 0.349198i | \(-0.113546\pi\) | |||||||
\(164\) | −13.8250 | − | 5.03190i | −1.07955 | − | 0.392925i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −0.404749 | + | 2.29544i | −0.0314146 | + | 0.178161i | ||||
\(167\) | 17.5670 | 1.35937 | 0.679687 | − | 0.733502i | \(-0.262115\pi\) | ||||
0.679687 | + | 0.733502i | \(0.262115\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 26.7743 | 2.05956 | ||||||||
\(170\) | 2.39489 | − | 13.5821i | 0.183680 | − | 1.04170i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −0.610815 | + | 1.67820i | −0.0465742 | + | 0.127961i | ||||
\(173\) | − | 5.09678i | − | 0.387501i | −0.981051 | − | 0.193750i | \(-0.937935\pi\) | ||
0.981051 | − | 0.193750i | \(-0.0620652\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0.965852 | − | 1.35981i | 0.0730115 | − | 0.102792i | ||||
\(176\) | −1.02946 | − | 0.863822i | −0.0775987 | − | 0.0651131i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −15.7911 | − | 2.78440i | −1.18359 | − | 0.208700i | ||||
\(179\) | −2.70930 | −0.202503 | −0.101251 | − | 0.994861i | \(-0.532285\pi\) | ||||
−0.101251 | + | 0.994861i | \(0.532285\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −0.404749 | −0.0300847 | −0.0150424 | − | 0.999887i | \(-0.504788\pi\) | ||||
−0.0150424 | + | 0.999887i | \(0.504788\pi\) | |||||||
\(182\) | −16.7978 | + | 16.5733i | −1.24514 | + | 1.22849i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 8.82295 | − | 15.2818i | 0.650436 | − | 1.12659i | ||||
\(185\) | 23.6679 | 1.74010 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 1.38079 | 0.100973 | ||||||||
\(188\) | −17.5670 | − | 6.39386i | −1.28120 | − | 0.466320i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −1.27631 | + | 7.23832i | −0.0925934 | + | 0.525123i | ||||
\(191\) | 15.8879i | 1.14961i | 0.818292 | + | 0.574803i | \(0.194921\pi\) | ||||
−0.818292 | + | 0.574803i | \(0.805079\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −10.5371 | −0.758480 | −0.379240 | − | 0.925298i | \(-0.623815\pi\) | ||||
−0.379240 | + | 0.925298i | \(0.623815\pi\) | |||||||
\(194\) | −0.691487 | + | 3.92162i | −0.0496459 | + | 0.281556i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0.188396 | − | 13.9987i | 0.0134568 | − | 0.999909i | ||||
\(197\) | −17.1464 | −1.22163 | −0.610816 | − | 0.791772i | \(-0.709159\pi\) | ||||
−0.610816 | + | 0.791772i | \(0.709159\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 20.5295i | 1.45529i | 0.685951 | + | 0.727647i | \(0.259386\pi\) | ||||
−0.685951 | + | 0.727647i | \(0.740614\pi\) | |||||||
\(200\) | 1.54419 | + | 0.891541i | 0.109191 | + | 0.0630415i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −0.582714 | + | 3.30474i | −0.0409996 | + | 0.232520i | ||||
\(203\) | 6.71706 | − | 9.45688i | 0.471445 | − | 0.663743i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 17.4550i | 1.21911i | ||||||||
\(206\) | −1.99106 | + | 11.2918i | −0.138724 | + | 0.786740i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −19.3248 | − | 16.2154i | −1.33993 | − | 1.12434i | ||||
\(209\) | −0.735865 | −0.0509008 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 15.3696i | 1.05809i | 0.848595 | + | 0.529043i | \(0.177449\pi\) | ||||
−0.848595 | + | 0.529043i | \(0.822551\pi\) | |||||||
\(212\) | 1.40595 | + | 0.511725i | 0.0965613 | + | 0.0351454i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −25.5030 | − | 4.49687i | −1.74335 | − | 0.307399i | ||||
\(215\) | 2.11884 | 0.144504 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 17.4884 | + | 12.4217i | 1.18719 | + | 0.843243i | ||||
\(218\) | −4.04828 | + | 22.9589i | −0.274184 | + | 1.55498i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −0.545317 | + | 1.49825i | −0.0367652 | + | 0.101012i | ||||
\(221\) | 25.9198 | 1.74356 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 15.9386i | 1.06733i | 0.845697 | + | 0.533663i | \(0.179185\pi\) | ||||
−0.845697 | + | 0.533663i | \(0.820815\pi\) | |||||||
\(224\) | 14.9181 | − | 1.20408i | 0.996759 | − | 0.0804508i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −1.19934 | + | 6.80180i | −0.0797789 | + | 0.452449i | ||||
\(227\) | − | 22.0113i | − | 1.46094i | −0.682944 | − | 0.730470i | \(-0.739301\pi\) | ||
0.682944 | − | 0.730470i | \(-0.260699\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 10.6873 | 0.706234 | 0.353117 | − | 0.935579i | \(-0.385122\pi\) | ||||
0.353117 | + | 0.935579i | \(0.385122\pi\) | |||||||
\(230\) | −20.6175 | − | 3.63542i | −1.35948 | − | 0.239712i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 10.7392 | + | 6.20026i | 0.705061 | + | 0.407067i | ||||
\(233\) | 3.49730i | 0.229116i | 0.993417 | + | 0.114558i | \(0.0365451\pi\) | ||||
−0.993417 | + | 0.114558i | \(0.963455\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 22.1795i | 1.44683i | ||||||||
\(236\) | −6.10095 | + | 16.7622i | −0.397138 | + | 1.09113i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −10.9467 | + | 10.8004i | −0.709568 | + | 0.700083i | ||||
\(239\) | − | 14.8425i | − | 0.960083i | −0.877246 | − | 0.480042i | \(-0.840622\pi\) | ||
0.877246 | − | 0.480042i | \(-0.159378\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | − | 14.4403i | − | 0.930183i | −0.885263 | − | 0.465091i | \(-0.846021\pi\) | ||
0.885263 | − | 0.465091i | \(-0.153979\pi\) | |||||||
\(242\) | 15.1628 | + | 2.67361i | 0.974702 | + | 0.171866i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −13.7788 | − | 5.01507i | −0.882097 | − | 0.321057i | ||||
\(245\) | −15.6833 | + | 5.47038i | −1.00197 | + | 0.349490i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −13.8135 | −0.878929 | ||||||||
\(248\) | −11.4660 | + | 19.8598i | −0.728094 | + | 1.26110i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −2.54622 | + | 14.4403i | −0.161037 | + | 0.913286i | ||||
\(251\) | 16.7622i | 1.05802i | 0.848615 | + | 0.529011i | \(0.177437\pi\) | ||||
−0.848615 | + | 0.529011i | \(0.822563\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | − | 2.09602i | − | 0.131776i | ||||||
\(254\) | −21.0970 | − | 3.71997i | −1.32374 | − | 0.233412i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 2.77837 | + | 15.7569i | 0.173648 | + | 0.984808i | ||||
\(257\) | −4.84576 | −0.302270 | −0.151135 | − | 0.988513i | \(-0.548293\pi\) | ||||
−0.151135 | + | 0.988513i | \(0.548293\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −21.5151 | − | 15.2818i | −1.33688 | − | 0.949565i | ||||
\(260\) | −10.2365 | + | 28.1246i | −0.634843 | + | 1.74422i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 3.76046 | − | 21.3267i | 0.232322 | − | 1.31757i | ||||
\(263\) | 12.5368i | 0.773051i | 0.922279 | + | 0.386525i | \(0.126325\pi\) | ||||
−0.922279 | + | 0.386525i | \(0.873675\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | − | 1.77511i | − | 0.109044i | ||||||
\(266\) | 5.83382 | − | 5.75583i | 0.357694 | − | 0.352913i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 3.80335 | − | 10.4496i | 0.232326 | − | 0.638312i | ||||
\(269\) | − | 6.54615i | − | 0.399126i | −0.979885 | − | 0.199563i | \(-0.936048\pi\) | ||
0.979885 | − | 0.199563i | \(-0.0639522\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | − | 5.11122i | − | 0.310485i | −0.987876 | − | 0.155242i | \(-0.950384\pi\) | ||
0.987876 | − | 0.155242i | \(-0.0496159\pi\) | |||||||
\(272\) | −12.5935 | − | 10.5672i | −0.763590 | − | 0.640728i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −2.34730 | + | 13.3122i | −0.141805 | + | 0.804218i | ||||
\(275\) | 0.211799 | 0.0127719 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | − | 25.8391i | − | 1.55252i | −0.630412 | − | 0.776261i | \(-0.717114\pi\) | ||
0.630412 | − | 0.776261i | \(-0.282886\pi\) | |||||||
\(278\) | −9.34720 | − | 1.64816i | −0.560608 | − | 0.0988503i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −7.39589 | − | 16.1432i | −0.441989 | − | 0.964743i | ||||
\(281\) | − | 15.6967i | − | 0.936388i | −0.883626 | − | 0.468194i | \(-0.844905\pi\) | ||
0.883626 | − | 0.468194i | \(-0.155095\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −29.7479 | −1.76833 | −0.884164 | − | 0.467177i | \(-0.845271\pi\) | ||||
−0.884164 | + | 0.467177i | \(0.845271\pi\) | |||||||
\(284\) | 1.42751 | − | 3.92206i | 0.0847074 | − | 0.232732i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −2.95097 | − | 0.520335i | −0.174494 | − | 0.0307681i | ||||
\(287\) | 11.2703 | − | 15.8673i | 0.665263 | − | 0.936617i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −0.108755 | −0.00639736 | ||||||||
\(290\) | 2.55476 | − | 14.4888i | 0.150021 | − | 0.850810i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −3.97583 | + | 10.9235i | −0.232668 | + | 0.639249i | ||||
\(293\) | 17.4869i | 1.02160i | 0.859701 | + | 0.510798i | \(0.170650\pi\) | ||||
−0.859701 | + | 0.510798i | \(0.829350\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 21.1634 | 1.23218 | ||||||||
\(296\) | 14.1060 | − | 24.4324i | 0.819897 | − | 1.42010i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 9.90941 | + | 1.74730i | 0.574037 | + | 0.101218i | ||||
\(299\) | − | 39.3459i | − | 2.27543i | ||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −1.92611 | − | 1.36808i | −0.111019 | − | 0.0788549i | ||||
\(302\) | 5.96897 | + | 1.05249i | 0.343475 | + | 0.0605640i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 6.71143 | + | 5.63156i | 0.384927 | + | 0.322992i | ||||
\(305\) | 17.3966i | 0.996129i | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −2.99979 | −0.171207 | −0.0856034 | − | 0.996329i | \(-0.527282\pi\) | ||||
−0.0856034 | + | 0.996329i | \(0.527282\pi\) | |||||||
\(308\) | 1.46309 | − | 1.00987i | 0.0833675 | − | 0.0575425i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 26.7939 | + | 4.72448i | 1.52179 | + | 0.268332i | ||||
\(311\) | −19.6858 | −1.11628 | −0.558141 | − | 0.829746i | \(-0.688485\pi\) | ||||
−0.558141 | + | 0.829746i | \(0.688485\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 17.2561i | 0.975373i | 0.873019 | + | 0.487686i | \(0.162159\pi\) | ||||
−0.873019 | + | 0.487686i | \(0.837841\pi\) | |||||||
\(314\) | 10.2108 | + | 1.80045i | 0.576232 | + | 0.101605i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −17.4338 | − | 6.34537i | −0.980726 | − | 0.356955i | ||||
\(317\) | 0.309518 | 0.0173843 | 0.00869213 | − | 0.999962i | \(-0.497233\pi\) | ||||
0.00869213 | + | 0.999962i | \(0.497233\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 1.47296 | 0.0824701 | ||||||||
\(320\) | 16.4396 | − | 9.49140i | 0.919001 | − | 0.530585i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 16.3948 | + | 16.6169i | 0.913646 | + | 0.926024i | ||||
\(323\) | −9.00186 | −0.500877 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 3.97583 | 0.220539 | ||||||||
\(326\) | −2.18968 | + | 12.4183i | −0.121275 | + | 0.687786i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 18.0188 | + | 10.4032i | 0.994922 | + | 0.574418i | ||||
\(329\) | 14.3207 | − | 20.1620i | 0.789528 | − | 1.11157i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | − | 12.1278i | − | 0.666605i | −0.942820 | − | 0.333302i | \(-0.891837\pi\) | ||
0.942820 | − | 0.333302i | \(-0.108163\pi\) | |||||||
\(332\) | 1.12741 | − | 3.09754i | 0.0618747 | − | 0.169999i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −24.4661 | − | 4.31403i | −1.33872 | − | 0.236053i | ||||
\(335\) | −13.1933 | −0.720829 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −12.2567 | −0.667666 | −0.333833 | − | 0.942632i | \(-0.608342\pi\) | ||||
−0.333833 | + | 0.942632i | \(0.608342\pi\) | |||||||
\(338\) | −37.2893 | − | 6.57510i | −2.02827 | − | 0.357638i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −6.67087 | + | 18.3281i | −0.361779 | + | 0.993979i | ||||
\(341\) | 2.72393i | 0.147509i | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 17.7888 | + | 5.15350i | 0.960505 | + | 0.278263i | ||||
\(344\) | 1.26282 | − | 2.18727i | 0.0680869 | − | 0.117930i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −1.25164 | + | 7.09843i | −0.0672888 | + | 0.381614i | ||||
\(347\) | −21.2758 | −1.14214 | −0.571071 | − | 0.820901i | \(-0.693472\pi\) | ||||
−0.571071 | + | 0.820901i | \(0.693472\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 26.6563 | 1.42688 | 0.713441 | − | 0.700716i | \(-0.247136\pi\) | ||||
0.713441 | + | 0.700716i | \(0.247136\pi\) | |||||||
\(350\) | −1.67911 | + | 1.65666i | −0.0897520 | + | 0.0885522i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 1.22163 | + | 1.45588i | 0.0651131 | + | 0.0775987i | ||||
\(353\) | −23.5402 | −1.25292 | −0.626458 | − | 0.779455i | \(-0.715496\pi\) | ||||
−0.626458 | + | 0.779455i | \(0.715496\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −4.95187 | −0.262818 | ||||||||
\(356\) | 21.3090 | + | 7.75583i | 1.12937 | + | 0.411058i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 3.77332 | + | 0.665338i | 0.199426 | + | 0.0351642i | ||||
\(359\) | 0.240762i | 0.0127069i | 0.999980 | + | 0.00635347i | \(0.00202239\pi\) | ||||
−0.999980 | + | 0.00635347i | \(0.997978\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −14.2026 | −0.747507 | ||||||||
\(362\) | 0.563705 | + | 0.0993965i | 0.0296277 | + | 0.00522416i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 27.4648 | − | 18.9569i | 1.43955 | − | 0.993613i | ||||
\(365\) | 13.7916 | 0.721888 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 0.276865i | 0.0144522i | 0.999974 | + | 0.00722611i | \(0.00230016\pi\) | ||||
−0.999974 | + | 0.00722611i | \(0.997700\pi\) | |||||||
\(368\) | −16.0408 | + | 19.1167i | −0.836185 | + | 0.996526i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −32.9630 | − | 5.81227i | −1.71367 | − | 0.302166i | ||||
\(371\) | −1.14614 | + | 1.61364i | −0.0595048 | + | 0.0837762i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 16.0869i | 0.832950i | 0.909147 | + | 0.416475i | \(0.136735\pi\) | ||||
−0.909147 | + | 0.416475i | \(0.863265\pi\) | |||||||
\(374\) | −1.92307 | − | 0.339088i | −0.0994394 | − | 0.0175338i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 22.8959 | + | 13.2189i | 1.18076 | + | 0.681715i | ||||
\(377\) | 27.6501 | 1.42405 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 13.5837i | 0.697747i | 0.937170 | + | 0.348874i | \(0.113436\pi\) | ||||
−0.937170 | + | 0.348874i | \(0.886564\pi\) | |||||||
\(380\) | 3.55511 | − | 9.76759i | 0.182373 | − | 0.501067i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 3.90167 | − | 22.1275i | 0.199627 | − | 1.13214i | ||||
\(383\) | 16.5756 | 0.846972 | 0.423486 | − | 0.905903i | \(-0.360806\pi\) | ||||
0.423486 | + | 0.905903i | \(0.360806\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −1.71957 | − | 1.22138i | −0.0876374 | − | 0.0622473i | ||||
\(386\) | 14.6754 | + | 2.58766i | 0.746957 | + | 0.131709i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 1.92611 | − | 5.29194i | 0.0977833 | − | 0.268657i | ||||
\(389\) | 37.9339 | 1.92333 | 0.961663 | − | 0.274236i | \(-0.0884248\pi\) | ||||
0.961663 | + | 0.274236i | \(0.0884248\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | − | 25.6407i | − | 1.29670i | ||||||
\(392\) | −3.70013 | + | 19.4502i | −0.186885 | + | 0.982382i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 23.8803 | + | 4.21074i | 1.20307 | + | 0.212134i | ||||
\(395\) | 22.0113i | 1.10751i | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 15.5643 | 0.781152 | 0.390576 | − | 0.920571i | \(-0.372276\pi\) | ||||
0.390576 | + | 0.920571i | \(0.372276\pi\) | |||||||
\(398\) | 5.04153 | − | 28.5920i | 0.252709 | − | 1.43319i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −1.93170 | − | 1.62089i | −0.0965852 | − | 0.0810446i | ||||
\(401\) | 38.4426i | 1.91973i | 0.280458 | + | 0.959866i | \(0.409514\pi\) | ||||
−0.280458 | + | 0.959866i | \(0.590486\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 51.1328i | 2.54711i | ||||||||
\(404\) | 1.62312 | − | 4.45950i | 0.0807535 | − | 0.221868i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −11.6774 | + | 11.5213i | −0.579540 | + | 0.571793i | ||||
\(407\) | − | 3.35110i | − | 0.166108i | ||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 13.0382i | 0.644699i | 0.946621 | + | 0.322349i | \(0.104473\pi\) | ||||
−0.946621 | + | 0.322349i | \(0.895527\pi\) | |||||||
\(410\) | 4.28653 | − | 24.3101i | 0.211697 | − | 1.20059i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 5.54600 | − | 15.2375i | 0.273232 | − | 0.750699i | ||||
\(413\) | −19.2384 | − | 13.6647i | −0.946659 | − | 0.672396i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −3.91085 | −0.191976 | ||||||||
\(416\) | 22.9321 | + | 27.3294i | 1.12434 | + | 1.33993i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 1.02486 | + | 0.180710i | 0.0501275 | + | 0.00883884i | ||||
\(419\) | − | 34.9738i | − | 1.70858i | −0.519794 | − | 0.854292i | \(-0.673991\pi\) | ||
0.519794 | − | 0.854292i | \(-0.326009\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | − | 38.0242i | − | 1.85319i | −0.376064 | − | 0.926594i | \(-0.622723\pi\) | ||
0.376064 | − | 0.926594i | \(-0.377277\pi\) | |||||||
\(422\) | 3.77440 | − | 21.4057i | 0.183735 | − | 1.04201i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −1.83244 | − | 1.05796i | −0.0889913 | − | 0.0513792i | ||||
\(425\) | 2.59094 | 0.125679 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 11.2326 | − | 15.8142i | 0.543582 | − | 0.765304i | ||||
\(428\) | 34.4144 | + | 12.5258i | 1.66348 | + | 0.605459i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −2.95097 | − | 0.520335i | −0.142308 | − | 0.0250928i | ||||
\(431\) | 19.9986i | 0.963299i | 0.876364 | + | 0.481649i | \(0.159962\pi\) | ||||
−0.876364 | + | 0.481649i | \(0.840038\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | − | 11.6245i | − | 0.558640i | −0.960198 | − | 0.279320i | \(-0.909891\pi\) | ||
0.960198 | − | 0.279320i | \(-0.0901090\pi\) | |||||||
\(434\) | −21.3062 | − | 21.5948i | −1.02273 | − | 1.03659i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 11.2763 | − | 30.9814i | 0.540037 | − | 1.48374i | ||||
\(437\) | 13.6647i | 0.653671i | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 11.9014i | 0.568023i | 0.958821 | + | 0.284012i | \(0.0916654\pi\) | ||||
−0.958821 | + | 0.284012i | \(0.908335\pi\) | |||||||
\(440\) | 1.12741 | − | 1.95273i | 0.0537472 | − | 0.0930929i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −36.0993 | − | 6.36527i | −1.71707 | − | 0.302765i | ||||
\(443\) | 2.06551 | 0.0981354 | 0.0490677 | − | 0.998795i | \(-0.484375\pi\) | ||||
0.0490677 | + | 0.998795i | \(0.484375\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | − | 26.9040i | − | 1.27537i | ||||||
\(446\) | 3.91412 | − | 22.1981i | 0.185339 | − | 1.05111i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −21.0726 | − | 1.98657i | −0.995586 | − | 0.0938567i | ||||
\(449\) | 0.954583i | 0.0450496i | 0.999746 | + | 0.0225248i | \(0.00717047\pi\) | ||||
−0.999746 | + | 0.0225248i | \(0.992830\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 2.47142 | 0.116375 | ||||||||
\(452\) | 3.34071 | − | 9.17853i | 0.157134 | − | 0.431722i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −5.40544 | + | 30.6558i | −0.253690 | + | 1.43875i | ||||
\(455\) | −32.2793 | − | 22.9274i | −1.51328 | − | 1.07485i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −4.00000 | −0.187112 | −0.0935561 | − | 0.995614i | \(-0.529823\pi\) | ||||
−0.0935561 | + | 0.995614i | \(0.529823\pi\) | |||||||
\(458\) | −14.8845 | − | 2.62453i | −0.695505 | − | 0.122636i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 27.8218 | + | 10.1263i | 1.29720 | + | 0.472141i | ||||
\(461\) | 30.0068i | 1.39756i | 0.715338 | + | 0.698778i | \(0.246273\pi\) | ||||
−0.715338 | + | 0.698778i | \(0.753727\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −17.1088 | −0.795111 | −0.397556 | − | 0.917578i | \(-0.630141\pi\) | ||||
−0.397556 | + | 0.917578i | \(0.630141\pi\) | |||||||
\(464\) | −13.4341 | − | 11.2726i | −0.623663 | − | 0.523315i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 0.858851 | − | 4.87079i | 0.0397855 | − | 0.225635i | ||||
\(467\) | 40.7953i | 1.88778i | 0.330258 | + | 0.943891i | \(0.392864\pi\) | ||||
−0.330258 | + | 0.943891i | \(0.607136\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 11.9933 | + | 8.51860i | 0.553797 | + | 0.393352i | ||||
\(470\) | 5.44675 | − | 30.8900i | 0.251240 | − | 1.42485i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 12.6134 | − | 21.8470i | 0.580577 | − | 1.00559i | ||||
\(473\) | − | 0.300002i | − | 0.0137941i | ||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −1.38079 | −0.0633550 | ||||||||
\(476\) | 17.8981 | − | 12.3537i | 0.820356 | − | 0.566232i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −3.64496 | + | 20.6716i | −0.166717 | + | 0.945498i | ||||
\(479\) | 16.1840 | 0.739467 | 0.369733 | − | 0.929138i | \(-0.379449\pi\) | ||||
0.369733 | + | 0.929138i | \(0.379449\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | − | 62.9059i | − | 2.86826i | ||||||
\(482\) | −3.54619 | + | 20.1114i | −0.161525 | + | 0.916051i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −20.4611 | − | 7.44723i | −0.930050 | − | 0.338511i | ||||
\(485\) | −6.68142 | −0.303388 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −14.4142 | −0.653168 | −0.326584 | − | 0.945168i | \(-0.605898\pi\) | ||||
−0.326584 | + | 0.945168i | \(0.605898\pi\) | |||||||
\(488\) | 17.9585 | + | 10.3684i | 0.812945 | + | 0.469354i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 23.1859 | − | 3.76733i | 1.04743 | − | 0.170191i | ||||
\(491\) | 12.4262 | 0.560787 | 0.280394 | − | 0.959885i | \(-0.409535\pi\) | ||||
0.280394 | + | 0.959885i | \(0.409535\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 18.0188 | 0.811526 | ||||||||
\(494\) | 19.2384 | + | 3.39225i | 0.865576 | + | 0.152624i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 20.8462 | − | 24.8435i | 0.936020 | − | 1.11551i | ||||
\(497\) | 4.50144 | + | 3.19730i | 0.201917 | + | 0.143418i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 2.34883i | 0.105148i | 0.998617 | + | 0.0525741i | \(0.0167426\pi\) | ||||
−0.998617 | + | 0.0525741i | \(0.983257\pi\) | |||||||
\(500\) | 7.09238 | − | 19.4862i | 0.317181 | − | 0.871447i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 4.11640 | − | 23.3452i | 0.183724 | − | 1.04195i | ||||
\(503\) | −28.0416 | −1.25031 | −0.625157 | − | 0.780499i | \(-0.714965\pi\) | ||||
−0.625157 | + | 0.780499i | \(0.714965\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −5.63041 | −0.250550 | ||||||||
\(506\) | −0.514732 | + | 2.91919i | −0.0228826 | + | 0.129774i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 28.4688 | + | 10.3618i | 1.26310 | + | 0.459731i | ||||
\(509\) | 42.7945i | 1.89683i | 0.317025 | + | 0.948417i | \(0.397316\pi\) | ||||
−0.317025 | + | 0.948417i | \(0.602684\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −12.5371 | − | 8.90492i | −0.554610 | − | 0.393930i | ||||
\(512\) | − | 22.6274i | − | 1.00000i | ||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 6.74883 | + | 1.19000i | 0.297678 | + | 0.0524887i | ||||
\(515\) | −19.2384 | −0.847745 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 3.14035 | 0.138113 | ||||||||
\(518\) | 26.2118 | + | 26.5670i | 1.15168 | + | 1.16729i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 21.1634 | − | 36.6561i | 0.928078 | − | 1.60748i | ||||
\(521\) | −14.8401 | −0.650155 | −0.325078 | − | 0.945687i | \(-0.605390\pi\) | ||||
−0.325078 | + | 0.945687i | \(0.605390\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −24.5149 | −1.07196 | −0.535980 | − | 0.844231i | \(-0.680058\pi\) | ||||
−0.535980 | + | 0.844231i | \(0.680058\pi\) | |||||||
\(524\) | −10.4746 | + | 28.7788i | −0.457586 | + | 1.25721i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 3.07873 | − | 17.4603i | 0.134239 | − | 0.761306i | ||||
\(527\) | 33.3219i | 1.45152i | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −15.9222 | −0.692270 | ||||||||
\(530\) | −0.435924 | + | 2.47225i | −0.0189353 | + | 0.107388i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −9.53842 | + | 6.58367i | −0.413543 | + | 0.285438i | ||||
\(533\) | 46.3929 | 2.00950 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | − | 43.4505i | − | 1.87853i | ||||||
\(536\) | −7.86320 | + | 13.6195i | −0.339639 | + | 0.588271i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −1.60757 | + | 9.11701i | −0.0693074 | + | 0.393062i | ||||
\(539\) | 0.774541 | + | 2.22057i | 0.0333619 | + | 0.0956465i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 8.08088i | 0.347424i | 0.984796 | + | 0.173712i | \(0.0555762\pi\) | ||||
−0.984796 | + | 0.173712i | \(0.944424\pi\) | |||||||
\(542\) | −1.25519 | + | 7.11855i | −0.0539151 | + | 0.305768i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 14.9442 | + | 17.8098i | 0.640728 | + | 0.763590i | ||||
\(545\) | −39.1161 | −1.67555 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | − | 20.0368i | − | 0.856710i | −0.903610 | − | 0.428355i | \(-0.859093\pi\) | ||
0.903610 | − | 0.428355i | \(-0.140907\pi\) | |||||||
\(548\) | 6.53829 | − | 17.9638i | 0.279302 | − | 0.767376i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −0.294978 | − | 0.0520126i | −0.0125779 | − | 0.00221783i | ||||
\(551\) | −9.60277 | −0.409092 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 14.2121 | − | 20.0091i | 0.604361 | − | 0.850874i | ||||
\(554\) | −6.34546 | + | 35.9869i | −0.269593 | + | 1.52894i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 12.6134 | + | 4.59089i | 0.534926 | + | 0.194697i | ||||
\(557\) | 10.2696 | 0.435136 | 0.217568 | − | 0.976045i | \(-0.430188\pi\) | ||||
0.217568 | + | 0.976045i | \(0.430188\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | − | 5.63156i | − | 0.238190i | ||||||
\(560\) | 6.33608 | + | 24.2994i | 0.267748 | + | 1.02684i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −3.85473 | + | 21.8613i | −0.162602 | + | 0.922162i | ||||
\(563\) | − | 25.6812i | − | 1.08233i | −0.840915 | − | 0.541167i | \(-0.817983\pi\) | ||
0.840915 | − | 0.541167i | \(-0.182017\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −11.5885 | −0.487532 | ||||||||
\(566\) | 41.4307 | + | 7.30535i | 1.74146 | + | 0.307067i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −2.95130 | + | 5.11181i | −0.123834 | + | 0.214487i | ||||
\(569\) | − | 9.96254i | − | 0.417651i | −0.977953 | − | 0.208826i | \(-0.933036\pi\) | ||
0.977953 | − | 0.208826i | \(-0.0669641\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 44.5078i | 1.86259i | 0.364262 | + | 0.931297i | \(0.381321\pi\) | ||||
−0.364262 | + | 0.931297i | \(0.618679\pi\) | |||||||
\(572\) | 3.98211 | + | 1.44937i | 0.166501 | + | 0.0606012i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −19.5930 | + | 19.3311i | −0.817798 | + | 0.806866i | ||||
\(575\) | − | 3.93301i | − | 0.164018i | ||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | − | 10.2224i | − | 0.425566i | −0.977099 | − | 0.212783i | \(-0.931747\pi\) | ||
0.977099 | − | 0.212783i | \(-0.0682528\pi\) | |||||||
\(578\) | 0.151466 | + | 0.0267076i | 0.00630017 | + | 0.00111089i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −7.11618 | + | 19.5515i | −0.295483 | + | 0.811834i | ||||
\(581\) | 3.55511 | + | 2.52513i | 0.147491 | + | 0.104760i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −0.251334 | −0.0104092 | ||||||||
\(584\) | 8.21979 | − | 14.2371i | 0.340137 | − | 0.589135i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 4.29436 | − | 24.3545i | 0.177398 | − | 1.00608i | ||||
\(587\) | 9.69019i | 0.399957i | 0.979800 | + | 0.199978i | \(0.0640872\pi\) | ||||
−0.979800 | + | 0.199978i | \(0.935913\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | − | 17.7582i | − | 0.731715i | ||||||
\(590\) | −29.4749 | − | 5.19722i | −1.21346 | − | 0.213966i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −25.6459 | + | 30.5636i | −1.05404 | + | 1.25616i | ||||
\(593\) | −43.2260 | −1.77508 | −0.887540 | − | 0.460732i | \(-0.847587\pi\) | ||||
−0.887540 | + | 0.460732i | \(0.847587\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −21.0355 | − | 14.9412i | −0.862373 | − | 0.612529i | ||||
\(596\) | −13.3720 | − | 4.86702i | −0.547740 | − | 0.199361i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −9.66240 | + | 54.7982i | −0.395125 | + | 2.24086i | ||||
\(599\) | 36.2650i | 1.48175i | 0.671645 | + | 0.740873i | \(0.265588\pi\) | ||||
−0.671645 | + | 0.740873i | \(0.734412\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 35.0659i | 1.43037i | 0.698936 | + | 0.715185i | \(0.253657\pi\) | ||||
−0.698936 | + | 0.715185i | \(0.746343\pi\) | |||||||
\(602\) | 2.34658 | + | 2.37837i | 0.0956393 | + | 0.0969351i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −8.05468 | − | 2.93166i | −0.327740 | − | 0.119288i | ||||
\(605\) | 25.8335i | 1.05028i | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 39.3800i | 1.59838i | 0.601076 | + | 0.799192i | \(0.294739\pi\) | ||||
−0.601076 | + | 0.799192i | \(0.705261\pi\) | |||||||
\(608\) | −7.96423 | − | 9.49140i | −0.322992 | − | 0.384927i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 4.27219 | − | 24.2288i | 0.172976 | − | 0.980996i | ||||
\(611\) | 58.9498 | 2.38486 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | − | 17.8330i | − | 0.720270i | −0.932900 | − | 0.360135i | \(-0.882731\pi\) | ||
0.932900 | − | 0.360135i | \(-0.117269\pi\) | |||||||
\(614\) | 4.17789 | + | 0.736674i | 0.168606 | + | 0.0297298i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −2.28569 | + | 1.04717i | −0.0920931 | + | 0.0421917i | ||||
\(617\) | − | 33.2311i | − | 1.33783i | −0.743337 | − | 0.668917i | \(-0.766758\pi\) | ||
0.743337 | − | 0.668917i | \(-0.233242\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −21.3745 | −0.859114 | −0.429557 | − | 0.903040i | \(-0.641330\pi\) | ||||
−0.429557 | + | 0.903040i | \(0.641330\pi\) | |||||||
\(620\) | −36.1563 | − | 13.1598i | −1.45207 | − | 0.528512i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 27.4170 | + | 4.83436i | 1.09932 | + | 0.193840i | ||||
\(623\) | −17.3712 | + | 24.4568i | −0.695963 | + | 0.979840i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −27.7547 | −1.11019 | ||||||||
\(626\) | 4.23768 | − | 24.0331i | 0.169372 | − | 0.960554i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −13.7788 | − | 5.01507i | −0.549834 | − | 0.200123i | ||||
\(629\) | − | 40.9941i | − | 1.63454i | ||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −22.4979 | −0.895629 | −0.447814 | − | 0.894127i | \(-0.647797\pi\) | ||||
−0.447814 | + | 0.894127i | \(0.647797\pi\) | |||||||
\(632\) | 22.7222 | + | 13.1187i | 0.903842 | + | 0.521833i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −0.431074 | − | 0.0760101i | −0.0171202 | − | 0.00301875i | ||||
\(635\) | − | 35.9438i | − | 1.42639i | ||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 14.5395 | + | 41.6838i | 0.576075 | + | 1.65157i | ||||
\(638\) | −2.05144 | − | 0.361724i | −0.0812172 | − | 0.0143208i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −25.2267 | + | 9.18178i | −0.997174 | + | 0.362942i | ||||
\(641\) | 18.3848i | 0.726155i | 0.931759 | + | 0.363078i | \(0.118274\pi\) | ||||
−0.931759 | + | 0.363078i | \(0.881726\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −38.7902 | −1.52973 | −0.764867 | − | 0.644188i | \(-0.777196\pi\) | ||||
−0.764867 | + | 0.644188i | \(0.777196\pi\) | |||||||
\(644\) | −18.7528 | − | 27.1690i | −0.738963 | − | 1.07061i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 12.5371 | + | 2.21064i | 0.493267 | + | 0.0869763i | ||||
\(647\) | 34.3981 | 1.35233 | 0.676165 | − | 0.736750i | \(-0.263641\pi\) | ||||
0.676165 | + | 0.736750i | \(0.263641\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | − | 2.99649i | − | 0.117623i | ||||||
\(650\) | −5.53725 | − | 0.976366i | −0.217189 | − | 0.0382962i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 6.09926 | − | 16.7576i | 0.238865 | − | 0.656277i | ||||
\(653\) | −32.8297 | −1.28473 | −0.642363 | − | 0.766401i | \(-0.722046\pi\) | ||||
−0.642363 | + | 0.766401i | \(0.722046\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 36.3351 | 1.41973 | ||||||||
\(656\) | −22.5405 | − | 18.9138i | −0.880060 | − | 0.738458i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −24.8962 | + | 24.5634i | −0.970555 | + | 0.957582i | ||||
\(659\) | −29.6586 | −1.15533 | −0.577667 | − | 0.816273i | \(-0.696037\pi\) | ||||
−0.577667 | + | 0.816273i | \(0.696037\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 12.8028 | 0.497969 | 0.248985 | − | 0.968507i | \(-0.419903\pi\) | ||||
0.248985 | + | 0.968507i | \(0.419903\pi\) | |||||||
\(662\) | −2.97829 | + | 16.8907i | −0.115755 | + | 0.656478i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −2.33086 | + | 4.03716i | −0.0904548 | + | 0.156672i | ||||
\(665\) | 11.2105 | + | 7.96261i | 0.434724 | + | 0.308777i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | − | 27.3523i | − | 1.05909i | ||||||
\(668\) | 33.0152 | + | 12.0165i | 1.27739 | + | 0.464934i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 18.3747 | + | 3.23996i | 0.709878 | + | 0.125171i | ||||
\(671\) | 2.46316 | 0.0950892 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −1.63041 | −0.0628479 | −0.0314239 | − | 0.999506i | \(-0.510004\pi\) | ||||
−0.0314239 | + | 0.999506i | \(0.510004\pi\) | |||||||
\(674\) | 17.0703 | + | 3.00995i | 0.657522 | + | 0.115939i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 50.3191 | + | 18.3147i | 1.93535 | + | 0.704410i | ||||
\(677\) | − | 16.3421i | − | 0.628078i | −0.949410 | − | 0.314039i | \(-0.898318\pi\) | ||
0.949410 | − | 0.314039i | \(-0.101682\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 6.07367 | + | 4.31403i | 0.233086 | + | 0.165557i | ||||
\(680\) | 13.7916 | − | 23.8878i | 0.528885 | − | 0.916056i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 0.668930 | − | 3.79369i | 0.0256147 | − | 0.145268i | ||||
\(683\) | −25.2263 | −0.965258 | −0.482629 | − | 0.875825i | \(-0.660318\pi\) | ||||
−0.482629 | + | 0.875825i | \(0.660318\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −22.6805 | −0.866578 | ||||||||
\(686\) | −23.5094 | − | 11.5459i | −0.897593 | − | 0.440826i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −2.29591 | + | 2.73616i | −0.0875308 | + | 0.104315i | ||||
\(689\) | −4.71798 | −0.179741 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 26.8457 | 1.02126 | 0.510630 | − | 0.859801i | \(-0.329412\pi\) | ||||
0.510630 | + | 0.859801i | \(0.329412\pi\) | |||||||
\(692\) | 3.48640 | − | 9.57881i | 0.132533 | − | 0.364132i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 29.6313 | + | 5.22481i | 1.12479 | + | 0.198331i | ||||
\(695\) | − | 15.9252i | − | 0.604078i | ||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 30.2330 | 1.14516 | ||||||||
\(698\) | −37.1250 | − | 6.54615i | −1.40520 | − | 0.247775i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 2.74537 | − | 1.89493i | 0.103765 | − | 0.0716217i | ||||
\(701\) | −23.4703 | −0.886462 | −0.443231 | − | 0.896407i | \(-0.646168\pi\) | ||||
−0.443231 | + | 0.896407i | \(0.646168\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 21.8470i | 0.823975i | ||||||||
\(704\) | −1.34387 | − | 2.32765i | −0.0506490 | − | 0.0877266i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 32.7851 | + | 5.78089i | 1.23388 | + | 0.217567i | ||||
\(707\) | 5.11827 | + | 3.63542i | 0.192492 | + | 0.136724i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 7.48054i | 0.280938i | 0.990085 | + | 0.140469i | \(0.0448610\pi\) | ||||
−0.990085 | + | 0.140469i | \(0.955139\pi\) | |||||||
\(710\) | 6.89661 | + | 1.21606i | 0.258825 | + | 0.0456378i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −27.7730 | − | 16.0347i | −1.04084 | − | 0.600927i | ||||
\(713\) | 50.5821 | 1.89432 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | − | 5.02769i | − | 0.188025i | ||||||
\(716\) | −5.09182 | − | 1.85327i | −0.190290 | − | 0.0692599i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 0.0591253 | − | 0.335316i | 0.00220654 | − | 0.0125139i | ||||
\(719\) | 2.51038 | 0.0936215 | 0.0468108 | − | 0.998904i | \(-0.485094\pi\) | ||||
0.0468108 | + | 0.998904i | \(0.485094\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 17.4884 | + | 12.4217i | 0.651304 | + | 0.462610i | ||||
\(722\) | 19.7804 | + | 3.48782i | 0.736151 | + | 0.129803i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −0.760679 | − | 0.276865i | −0.0282704 | − | 0.0102896i | ||||
\(725\) | 2.76390 | 0.102648 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | − | 3.51683i | − | 0.130432i | −0.997871 | − | 0.0652159i | \(-0.979226\pi\) | ||
0.997871 | − | 0.0652159i | \(-0.0207736\pi\) | |||||||
\(728\) | −42.9063 | + | 19.6572i | −1.59021 | + | 0.728543i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −19.2080 | − | 3.38689i | −0.710921 | − | 0.125354i | ||||
\(731\) | − | 3.66994i | − | 0.135738i | ||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −19.2012 | −0.709212 | −0.354606 | − | 0.935016i | \(-0.615385\pi\) | ||||
−0.354606 | + | 0.935016i | \(0.615385\pi\) | |||||||
\(734\) | 0.0679912 | − | 0.385597i | 0.00250960 | − | 0.0142326i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 27.0351 | − | 22.6851i | 0.996526 | − | 0.836185i | ||||
\(737\) | 1.86802i | 0.0688094i | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 34.3776i | 1.26460i | 0.774723 | + | 0.632301i | \(0.217889\pi\) | ||||
−0.774723 | + | 0.632301i | \(0.782111\pi\) | |||||||
\(740\) | 44.4812 | + | 16.1898i | 1.63516 | + | 0.595150i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 1.99254 | − | 1.96590i | 0.0731484 | − | 0.0721706i | ||||
\(743\) | − | 9.86797i | − | 0.362021i | −0.983481 | − | 0.181010i | \(-0.942063\pi\) | ||
0.983481 | − | 0.181010i | \(-0.0579368\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 16.8831i | 0.618548i | ||||||||
\(746\) | 3.95056 | − | 22.4047i | 0.144640 | − | 0.820296i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 2.59504 | + | 0.944516i | 0.0948839 | + | 0.0345349i | ||||
\(749\) | −28.0549 | + | 39.4982i | −1.02510 | + | 1.44323i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −47.7452 | −1.74225 | −0.871123 | − | 0.491065i | \(-0.836608\pi\) | ||||
−0.871123 | + | 0.491065i | \(0.836608\pi\) | |||||||
\(752\) | −28.6415 | − | 24.0331i | −1.04445 | − | 0.876396i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −38.5090 | − | 6.79018i | −1.40242 | − | 0.247284i | ||||
\(755\) | 10.1696i | 0.370109i | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | − | 12.7984i | − | 0.465167i | −0.972576 | − | 0.232584i | \(-0.925282\pi\) | ||
0.972576 | − | 0.232584i | \(-0.0747180\pi\) | |||||||
\(758\) | 3.33582 | − | 18.9184i | 0.121163 | − | 0.687147i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −7.34998 | + | 12.7305i | −0.266612 | + | 0.461785i | ||||
\(761\) | 8.09201 | 0.293335 | 0.146668 | − | 0.989186i | \(-0.453145\pi\) | ||||
0.146668 | + | 0.989186i | \(0.453145\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 35.5581 | + | 25.2563i | 1.28729 | + | 0.914339i | ||||
\(764\) | −10.8679 | + | 29.8594i | −0.393188 | + | 1.08028i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −23.0853 | − | 4.07055i | −0.834104 | − | 0.147075i | ||||
\(767\) | − | 56.2493i | − | 2.03104i | ||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 0.553729i | 0.0199680i | 0.999950 | + | 0.00998399i | \(0.00317806\pi\) | ||||
−0.999950 | + | 0.00998399i | \(0.996822\pi\) | |||||||
\(770\) | 2.09495 | + | 2.12334i | 0.0754968 | + | 0.0765197i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −19.8033 | − | 7.20783i | −0.712738 | − | 0.259415i | ||||
\(773\) | − | 26.4059i | − | 0.949755i | −0.880052 | − | 0.474877i | \(-0.842492\pi\) | ||
0.880052 | − | 0.474877i | \(-0.157508\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 5.11122i | 0.183601i | ||||||||
\(776\) | −3.98211 | + | 6.89722i | −0.142950 | + | 0.247596i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −52.8316 | − | 9.31564i | −1.89411 | − | 0.333982i | ||||
\(779\) | −16.1121 | −0.577275 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 0.701126i | 0.0250882i | ||||||||
\(782\) | −6.29673 | + | 35.7105i | −0.225170 | + | 1.27701i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 9.92976 | − | 26.1801i | 0.354634 | − | 0.935005i | ||||
\(785\) | 17.3966i | 0.620913i | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 48.6510 | 1.73422 | 0.867110 | − | 0.498117i | \(-0.165975\pi\) | ||||
0.867110 | + | 0.498117i | \(0.165975\pi\) | |||||||
\(788\) | −32.2247 | − | 11.7288i | −1.14796 | − | 0.417823i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 5.40544 | − | 30.6558i | 0.192317 | − | 1.09068i | ||||
\(791\) | 10.5344 | + | 7.48241i | 0.374560 | + | 0.266044i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 46.2377 | 1.64195 | ||||||||
\(794\) | −21.6769 | − | 3.82222i | −0.769284 | − | 0.135646i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −14.0430 | + | 38.5828i | −0.497740 | + | 1.36753i | ||||
\(797\) | − | 36.0271i | − | 1.27614i | −0.769977 | − | 0.638072i | \(-0.779732\pi\) | ||
0.769977 | − | 0.638072i | \(-0.220268\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 38.4160 | 1.35906 | ||||||||
\(800\) | 2.29229 | + | 2.73184i | 0.0810446 | + | 0.0965852i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 9.44057 | − | 53.5401i | 0.333358 | − | 1.89057i | ||||
\(803\) | − | 1.95273i | − | 0.0689104i | ||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −22.6805 | + | 31.9317i | −0.799383 | + | 1.12544i | ||||
\(806\) | 12.5570 | − | 71.2141i | 0.442300 | − | 2.50841i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −3.35572 | + | 5.81227i | −0.118054 | + | 0.204475i | ||||
\(809\) | − | 29.3162i | − | 1.03070i | −0.856979 | − | 0.515351i | \(-0.827662\pi\) | ||
0.856979 | − | 0.515351i | \(-0.172338\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 11.9015 | 0.417918 | 0.208959 | − | 0.977924i | \(-0.432992\pi\) | ||||
0.208959 | + | 0.977924i | \(0.432992\pi\) | |||||||
\(812\) | 19.0928 | − | 13.1784i | 0.670027 | − | 0.462470i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −0.822948 | + | 4.66717i | −0.0288443 | + | 0.163584i | ||||
\(815\) | −21.1576 | −0.741117 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 1.95582i | 0.0684255i | ||||||||
\(818\) | 3.20187 | − | 18.1587i | 0.111951 | − | 0.634905i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −11.9399 | + | 32.8047i | −0.416961 | + | 1.14559i | ||||
\(821\) | 29.5229 | 1.03036 | 0.515179 | − | 0.857083i | \(-0.327726\pi\) | ||||
0.515179 | + | 0.857083i | \(0.327726\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 20.3114 | 0.708011 | 0.354005 | − | 0.935243i | \(-0.384819\pi\) | ||||
0.354005 | + | 0.935243i | \(0.384819\pi\) | |||||||
\(824\) | −11.4660 | + | 19.8598i | −0.399438 | + | 0.691848i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 23.4381 | + | 23.7557i | 0.815517 | + | 0.826566i | ||||
\(827\) | 33.9138 | 1.17930 | 0.589649 | − | 0.807660i | \(-0.299266\pi\) | ||||
0.589649 | + | 0.807660i | \(0.299266\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −9.44704 | −0.328109 | −0.164055 | − | 0.986451i | \(-0.552457\pi\) | ||||
−0.164055 | + | 0.986451i | \(0.552457\pi\) | |||||||
\(830\) | 5.44675 | + | 0.960408i | 0.189059 | + | 0.0333363i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −25.2267 | − | 43.6940i | −0.874580 | − | 1.51482i | ||||
\(833\) | 9.47498 | + | 27.1642i | 0.328289 | + | 0.941185i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | − | 41.6838i | − | 1.44253i | ||||||
\(836\) | −1.38297 | − | 0.503361i | −0.0478311 | − | 0.0174091i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −8.58872 | + | 48.7091i | −0.296692 | + | 1.68263i | ||||
\(839\) | 6.10095 | 0.210628 | 0.105314 | − | 0.994439i | \(-0.466415\pi\) | ||||
0.105314 | + | 0.994439i | \(0.466415\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −9.77837 | −0.337185 | ||||||||
\(842\) | −9.33782 | + | 52.9574i | −0.321803 | + | 1.82503i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −10.5134 | + | 28.8854i | −0.361887 | + | 0.994276i | ||||
\(845\) | − | 63.5313i | − | 2.18554i | ||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 16.6800 | − | 23.4837i | 0.573133 | − | 0.806908i | ||||
\(848\) | 2.29229 | + | 1.92346i | 0.0787175 | + | 0.0660518i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −3.60848 | − | 0.636272i | −0.123770 | − | 0.0218239i | ||||
\(851\) | −62.2285 | −2.13316 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −27.4658 | −0.940412 | −0.470206 | − | 0.882557i | \(-0.655820\pi\) | ||||
−0.470206 | + | 0.882557i | \(0.655820\pi\) | |||||||
\(854\) | −19.5275 | + | 19.2665i | −0.668218 | + | 0.659286i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −44.8539 | − | 25.8964i | −1.53308 | − | 0.885121i | ||||
\(857\) | 36.7335 | 1.25479 | 0.627396 | − | 0.778700i | \(-0.284121\pi\) | ||||
0.627396 | + | 0.778700i | \(0.284121\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −14.0918 | −0.480806 | −0.240403 | − | 0.970673i | \(-0.577280\pi\) | ||||
−0.240403 | + | 0.970673i | \(0.577280\pi\) | |||||||
\(860\) | 3.98211 | + | 1.44937i | 0.135789 | + | 0.0494231i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 4.91117 | − | 27.8526i | 0.167275 | − | 0.948664i | ||||
\(863\) | − | 28.8469i | − | 0.981961i | −0.871171 | − | 0.490980i | \(-0.836639\pi\) | ||
0.871171 | − | 0.490980i | \(-0.163361\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −12.0939 | −0.411204 | ||||||||
\(866\) | −2.85470 | + | 16.1898i | −0.0970068 | + | 0.550153i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 24.3706 | + | 35.3080i | 0.827191 | + | 1.19843i | ||||
\(869\) | 3.11654 | 0.105721 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 35.0659i | 1.18816i | ||||||||
\(872\) | −23.3131 | + | 40.3795i | −0.789482 | + | 1.36742i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 3.35572 | − | 19.0312i | 0.113509 | − | 0.643740i | ||||
\(875\) | 22.3647 | + | 15.8853i | 0.756065 | + | 0.537020i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 47.7764i | 1.61329i | 0.591033 | + | 0.806647i | \(0.298720\pi\) | ||||
−0.591033 | + | 0.806647i | \(0.701280\pi\) | |||||||
\(878\) | 2.92269 | − | 16.5754i | 0.0986362 | − | 0.559394i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −2.04972 | + | 2.44276i | −0.0690961 | + | 0.0823455i | ||||
\(881\) | −20.5495 | −0.692330 | −0.346165 | − | 0.938174i | \(-0.612516\pi\) | ||||
−0.346165 | + | 0.938174i | \(0.612516\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | − | 5.92064i | − | 0.199245i | −0.995025 | − | 0.0996226i | \(-0.968236\pi\) | ||
0.995025 | − | 0.0996226i | \(-0.0317636\pi\) | |||||||
\(884\) | 48.7133 | + | 17.7302i | 1.63841 | + | 0.596331i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −2.87670 | − | 0.507239i | −0.0966445 | − | 0.0170410i | ||||
\(887\) | 28.2972 | 0.950126 | 0.475063 | − | 0.879952i | \(-0.342425\pi\) | ||||
0.475063 | + | 0.879952i | \(0.342425\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −23.2080 | + | 32.6743i | −0.778372 | + | 1.09586i | ||||
\(890\) | −6.60696 | + | 37.4699i | −0.221466 | + | 1.25600i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −10.9026 | + | 29.9547i | −0.365047 | + | 1.00296i | ||||
\(893\) | −20.4731 | −0.685105 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 6.42876i | 0.214890i | ||||||||
\(896\) | 28.8605 | + | 7.94167i | 0.964162 | + | 0.265312i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 0.234422 | − | 1.32948i | 0.00782278 | − | 0.0443652i | ||||
\(899\) | 35.5462i | 1.18553i | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −3.07458 | −0.102429 | ||||||||
\(902\) | −3.44202 | − | 0.606921i | −0.114607 | − | 0.0202083i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −6.90673 | + | 11.9628i | −0.229714 | + | 0.397877i | ||||
\(905\) | 0.960408i | 0.0319250i | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | − | 18.3212i | − | 0.608344i | −0.952617 | − | 0.304172i | \(-0.901620\pi\) | ||
0.952617 | − | 0.304172i | \(-0.0983798\pi\) | |||||||
\(908\) | 15.0566 | − | 41.3677i | 0.499671 | − | 1.37284i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 39.3259 | + | 39.8587i | 1.30364 | + | 1.32130i | ||||
\(911\) | 0.296200i | 0.00981356i | 0.999988 | + | 0.00490678i | \(0.00156188\pi\) | ||||
−0.999988 | + | 0.00490678i | \(0.998438\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 0.553729i | 0.0183258i | ||||||||
\(914\) | 5.57091 | + | 0.982302i | 0.184269 | + | 0.0324917i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 20.0855 | + | 7.31052i | 0.663643 | + | 0.241546i | ||||
\(917\) | −33.0300 | − | 23.4607i | −1.09075 | − | 0.774739i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 32.1385 | 1.06015 | 0.530075 | − | 0.847951i | \(-0.322164\pi\) | ||||
0.530075 | + | 0.847951i | \(0.322164\pi\) | |||||||
\(920\) | −36.2614 | − | 20.9355i | −1.19550 | − | 0.690224i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 7.36894 | − | 41.7913i | 0.242683 | − | 1.37632i | ||||
\(923\) | 13.1613i | 0.433211i | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | − | 6.28806i | − | 0.206750i | ||||||
\(926\) | 23.8279 | + | 4.20149i | 0.783032 | + | 0.138070i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 15.9418 | + | 18.9987i | 0.523315 | + | 0.623663i | ||||
\(929\) | −15.3204 | −0.502645 | −0.251323 | − | 0.967903i | \(-0.580865\pi\) | ||||
−0.251323 | + | 0.967903i | \(0.580865\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −5.04951 | − | 14.4766i | −0.165491 | − | 0.474453i | ||||
\(932\) | −2.39229 | + | 6.57277i | −0.0783622 | + | 0.215298i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 10.0183 | − | 56.8168i | 0.327810 | − | 1.85910i | ||||
\(935\) | − | 3.27641i | − | 0.107150i | ||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 30.8365i | 1.00738i | 0.863884 | + | 0.503692i | \(0.168025\pi\) | ||||
−0.863884 | + | 0.503692i | \(0.831975\pi\) | |||||||
\(938\) | −14.6114 | − | 14.8094i | −0.477079 | − | 0.483542i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −15.1717 | + | 41.6838i | −0.494845 | + | 1.35958i | ||||
\(941\) | − | 7.99552i | − | 0.260646i | −0.991472 | − | 0.130323i | \(-0.958398\pi\) | ||
0.991472 | − | 0.130323i | \(-0.0416015\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | − | 45.8933i | − | 1.49449i | ||||||
\(944\) | −22.9321 | + | 27.3294i | −0.746376 | + | 0.889496i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −0.0736733 | + | 0.417822i | −0.00239532 | + | 0.0135846i | ||||
\(947\) | 19.7796 | 0.642750 | 0.321375 | − | 0.946952i | \(-0.395855\pi\) | ||||
0.321375 | + | 0.946952i | \(0.395855\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | − | 36.6561i | − | 1.18991i | ||||||
\(950\) | 1.92307 | + | 0.339088i | 0.0623925 | + | 0.0110015i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −27.9609 | + | 12.8101i | −0.906218 | + | 0.415176i | ||||
\(953\) | − | 1.93689i | − | 0.0627419i | −0.999508 | − | 0.0313709i | \(-0.990013\pi\) | ||
0.999508 | − | 0.0313709i | \(-0.00998732\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 37.6995 | 1.21993 | ||||||||
\(956\) | 10.1529 | − | 27.8948i | 0.328368 | − | 0.902183i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −22.5399 | − | 3.97440i | −0.728233 | − | 0.128407i | ||||
\(959\) | 20.6175 | + | 14.6442i | 0.665773 | + | 0.472887i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −34.7351 | −1.12049 | ||||||||
\(962\) | −15.4482 | + | 87.6108i | −0.498069 | + | 2.82469i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 9.87776 | − | 27.1389i | 0.318141 | − | 0.874086i | ||||
\(965\) | 25.0031i | 0.804877i | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −18.7547 | −0.603109 | −0.301554 | − | 0.953449i | \(-0.597506\pi\) | ||||
−0.301554 | + | 0.953449i | \(0.597506\pi\) | |||||||
\(968\) | 26.6679 | + | 15.3967i | 0.857139 | + | 0.494869i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 9.30541 | + | 1.64079i | 0.298779 | + | 0.0526827i | ||||
\(971\) | 18.7150i | 0.600592i | 0.953846 | + | 0.300296i | \(0.0970854\pi\) | ||||
−0.953846 | + | 0.300296i | \(0.902915\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −10.2825 | + | 14.4766i | −0.329642 | + | 0.464100i | ||||
\(974\) | 20.0750 | + | 3.53977i | 0.643245 | + | 0.113421i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −22.4652 | − | 18.8505i | −0.719092 | − | 0.603390i | ||||
\(977\) | − | 26.8843i | − | 0.860106i | −0.902804 | − | 0.430053i | \(-0.858495\pi\) | ||
0.902804 | − | 0.430053i | \(-0.141505\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −3.80928 | −0.121745 | ||||||||
\(980\) | −33.2169 | − | 0.447034i | −1.06107 | − | 0.0142800i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −17.3063 | − | 3.05157i | −0.552268 | − | 0.0973797i | ||||
\(983\) | −17.5670 | −0.560300 | −0.280150 | − | 0.959956i | \(-0.590384\pi\) | ||||
−0.280150 | + | 0.959956i | \(0.590384\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 40.6859i | 1.29636i | ||||||||
\(986\) | −25.0953 | − | 4.42498i | −0.799197 | − | 0.140920i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −25.9608 | − | 9.44896i | −0.825923 | − | 0.300611i | ||||
\(989\) | −5.57091 | −0.177145 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 13.9007 | 0.441572 | 0.220786 | − | 0.975322i | \(-0.429138\pi\) | ||||
0.220786 | + | 0.975322i | \(0.429138\pi\) | |||||||
\(992\) | −35.1340 | + | 29.4809i | −1.11551 | + | 0.936020i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −5.48411 | − | 5.55841i | −0.173945 | − | 0.176302i | ||||
\(995\) | 48.7133 | 1.54432 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −55.5518 | −1.75934 | −0.879671 | − | 0.475582i | \(-0.842238\pi\) | ||||
−0.879671 | + | 0.475582i | \(0.842238\pi\) | |||||||
\(998\) | 0.576816 | − | 3.27129i | 0.0182588 | − | 0.103551i | ||||
\(999\) | 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 | 504.2.i.b.125.1 | ✓ | 24 | |
3.2 | odd | 2 | inner | 504.2.i.b.125.24 | yes | 24 | |
4.3 | odd | 2 | 2016.2.i.b.881.3 | 24 | |||
7.6 | odd | 2 | inner | 504.2.i.b.125.2 | yes | 24 | |
8.3 | odd | 2 | 2016.2.i.b.881.22 | 24 | |||
8.5 | even | 2 | inner | 504.2.i.b.125.22 | yes | 24 | |
12.11 | even | 2 | 2016.2.i.b.881.8 | 24 | |||
21.20 | even | 2 | inner | 504.2.i.b.125.23 | yes | 24 | |
24.5 | odd | 2 | inner | 504.2.i.b.125.3 | yes | 24 | |
24.11 | even | 2 | 2016.2.i.b.881.17 | 24 | |||
28.27 | even | 2 | 2016.2.i.b.881.18 | 24 | |||
56.13 | odd | 2 | inner | 504.2.i.b.125.21 | yes | 24 | |
56.27 | even | 2 | 2016.2.i.b.881.7 | 24 | |||
84.83 | odd | 2 | 2016.2.i.b.881.21 | 24 | |||
168.83 | odd | 2 | 2016.2.i.b.881.4 | 24 | |||
168.125 | even | 2 | inner | 504.2.i.b.125.4 | yes | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
504.2.i.b.125.1 | ✓ | 24 | 1.1 | even | 1 | trivial | |
504.2.i.b.125.2 | yes | 24 | 7.6 | odd | 2 | inner | |
504.2.i.b.125.3 | yes | 24 | 24.5 | odd | 2 | inner | |
504.2.i.b.125.4 | yes | 24 | 168.125 | even | 2 | inner | |
504.2.i.b.125.21 | yes | 24 | 56.13 | odd | 2 | inner | |
504.2.i.b.125.22 | yes | 24 | 8.5 | even | 2 | inner | |
504.2.i.b.125.23 | yes | 24 | 21.20 | even | 2 | inner | |
504.2.i.b.125.24 | yes | 24 | 3.2 | odd | 2 | inner | |
2016.2.i.b.881.3 | 24 | 4.3 | odd | 2 | |||
2016.2.i.b.881.4 | 24 | 168.83 | odd | 2 | |||
2016.2.i.b.881.7 | 24 | 56.27 | even | 2 | |||
2016.2.i.b.881.8 | 24 | 12.11 | even | 2 | |||
2016.2.i.b.881.17 | 24 | 24.11 | even | 2 | |||
2016.2.i.b.881.18 | 24 | 28.27 | even | 2 | |||
2016.2.i.b.881.21 | 24 | 84.83 | odd | 2 | |||
2016.2.i.b.881.22 | 24 | 8.3 | odd | 2 |