Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [546,2,Mod(317,546)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(546, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 4, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("546.317");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 546.bv (of order \(12\), 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: | \(4.35983195036\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(36\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 473.18 | ||
Character | \(\chi\) | \(=\) | 546.473 |
Dual form | 546.2.bv.a.359.18 |
$q$-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 \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).
\(n\) | \(157\) | \(365\) | \(379\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(-1\) | \(e\left(\frac{3}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.258819 | + | 0.965926i | −0.183013 | + | 0.683013i | ||||
\(3\) | 1.72288 | + | 0.178019i | 0.994704 | + | 0.102779i | ||||
\(4\) | −0.866025 | − | 0.500000i | −0.433013 | − | 0.250000i | ||||
\(5\) | 0.250746 | − | 0.935798i | 0.112137 | − | 0.418501i | −0.886920 | − | 0.461924i | \(-0.847159\pi\) |
0.999057 | + | 0.0434222i | \(0.0138261\pi\) | |||||||
\(6\) | −0.617867 | + | 1.61810i | −0.252243 | + | 0.660586i | ||||
\(7\) | 0.932449 | + | 2.47599i | 0.352433 | + | 0.935837i | ||||
\(8\) | 0.707107 | − | 0.707107i | 0.250000 | − | 0.250000i | ||||
\(9\) | 2.93662 | + | 0.613411i | 0.978873 | + | 0.204470i | ||||
\(10\) | 0.839013 | + | 0.484404i | 0.265319 | + | 0.153182i | ||||
\(11\) | −0.265234 | − | 0.989868i | −0.0799712 | − | 0.298456i | 0.914343 | − | 0.404940i | \(-0.132708\pi\) |
−0.994314 | + | 0.106483i | \(0.966041\pi\) | |||||||
\(12\) | −1.40305 | − | 1.01561i | −0.405025 | − | 0.293181i | ||||
\(13\) | 1.28292 | + | 3.36959i | 0.355817 | + | 0.934555i | ||||
\(14\) | −2.63296 | + | 0.259843i | −0.703688 | + | 0.0694460i | ||||
\(15\) | 0.598595 | − | 1.56763i | 0.154557 | − | 0.404760i | ||||
\(16\) | 0.500000 | + | 0.866025i | 0.125000 | + | 0.216506i | ||||
\(17\) | 2.05787 | − | 3.56434i | 0.499107 | − | 0.864479i | −0.500892 | − | 0.865510i | \(-0.666995\pi\) |
0.999999 | + | 0.00103068i | \(0.000328075\pi\) | |||||||
\(18\) | −1.35256 | + | 2.67779i | −0.318802 | + | 0.631162i | ||||
\(19\) | −2.67167 | − | 0.715871i | −0.612922 | − | 0.164232i | −0.0610140 | − | 0.998137i | \(-0.519433\pi\) |
−0.551908 | + | 0.833905i | \(0.686100\pi\) | |||||||
\(20\) | −0.685051 | + | 0.685051i | −0.153182 | + | 0.153182i | ||||
\(21\) | 1.16572 | + | 4.43183i | 0.254381 | + | 0.967104i | ||||
\(22\) | 1.02479 | 0.218485 | ||||||||
\(23\) | −0.318592 | − | 0.551817i | −0.0664309 | − | 0.115062i | 0.830897 | − | 0.556426i | \(-0.187828\pi\) |
−0.897328 | + | 0.441365i | \(0.854495\pi\) | |||||||
\(24\) | 1.34414 | − | 1.09238i | 0.274371 | − | 0.222981i | ||||
\(25\) | 3.51728 | + | 2.03070i | 0.703457 | + | 0.406141i | ||||
\(26\) | −3.58682 | + | 0.367090i | −0.703432 | + | 0.0719923i | ||||
\(27\) | 4.95024 | + | 1.57961i | 0.952673 | + | 0.303996i | ||||
\(28\) | 0.430471 | − | 2.61050i | 0.0813514 | − | 0.493338i | ||||
\(29\) | 3.48270i | 0.646721i | 0.946276 | + | 0.323361i | \(0.104813\pi\) | ||||
−0.946276 | + | 0.323361i | \(0.895187\pi\) | |||||||
\(30\) | 1.35928 | + | 0.983930i | 0.248170 | + | 0.179640i | ||||
\(31\) | 0.646325 | + | 2.41212i | 0.116083 | + | 0.433229i | 0.999366 | − | 0.0356126i | \(-0.0113382\pi\) |
−0.883282 | + | 0.468841i | \(0.844672\pi\) | |||||||
\(32\) | −0.965926 | + | 0.258819i | −0.170753 | + | 0.0457532i | ||||
\(33\) | −0.280751 | − | 1.75264i | −0.0488724 | − | 0.305095i | ||||
\(34\) | 2.91027 | + | 2.91027i | 0.499107 | + | 0.499107i | ||||
\(35\) | 2.55084 | − | 0.251738i | 0.431170 | − | 0.0425515i | ||||
\(36\) | −2.23648 | − | 1.99954i | −0.372747 | − | 0.333256i | ||||
\(37\) | −0.748834 | + | 2.79469i | −0.123107 | + | 0.459443i | −0.999765 | − | 0.0216713i | \(-0.993101\pi\) |
0.876658 | + | 0.481115i | \(0.159768\pi\) | |||||||
\(38\) | 1.38296 | − | 2.39535i | 0.224345 | − | 0.388577i | ||||
\(39\) | 1.61046 | + | 6.03377i | 0.257880 | + | 0.966177i | ||||
\(40\) | −0.484404 | − | 0.839013i | −0.0765911 | − | 0.132660i | ||||
\(41\) | −0.0484181 | − | 0.0484181i | −0.00756163 | − | 0.00756163i | 0.703316 | − | 0.710877i | \(-0.251702\pi\) |
−0.710877 | + | 0.703316i | \(0.751702\pi\) | |||||||
\(42\) | −4.58253 | − | 0.0210399i | −0.707099 | − | 0.00324653i | ||||
\(43\) | − | 8.67865i | − | 1.32348i | −0.749733 | − | 0.661741i | \(-0.769818\pi\) | ||
0.749733 | − | 0.661741i | \(-0.230182\pi\) | |||||||
\(44\) | −0.265234 | + | 0.989868i | −0.0399856 | + | 0.149228i | ||||
\(45\) | 1.31037 | − | 2.59427i | 0.195339 | − | 0.386731i | ||||
\(46\) | 0.615472 | − | 0.164915i | 0.0907463 | − | 0.0243154i | ||||
\(47\) | 3.23906 | + | 0.867903i | 0.472465 | + | 0.126597i | 0.487192 | − | 0.873295i | \(-0.338021\pi\) |
−0.0147269 | + | 0.999892i | \(0.504688\pi\) | |||||||
\(48\) | 0.707270 | + | 1.58107i | 0.102086 | + | 0.228207i | ||||
\(49\) | −5.26108 | + | 4.61748i | −0.751582 | + | 0.659639i | ||||
\(50\) | −2.87185 | + | 2.87185i | −0.406141 | + | 0.406141i | ||||
\(51\) | 4.17998 | − | 5.77458i | 0.585315 | − | 0.808603i | ||||
\(52\) | 0.573754 | − | 3.55961i | 0.0795654 | − | 0.493629i | ||||
\(53\) | −6.87259 | − | 3.96789i | −0.944023 | − | 0.545032i | −0.0528037 | − | 0.998605i | \(-0.516816\pi\) |
−0.891219 | + | 0.453573i | \(0.850149\pi\) | |||||||
\(54\) | −2.80700 | + | 4.37273i | −0.381984 | + | 0.595053i | ||||
\(55\) | −0.992823 | −0.133872 | ||||||||
\(56\) | 2.41013 | + | 1.09145i | 0.322067 | + | 0.145851i | ||||
\(57\) | −4.47551 | − | 1.70897i | −0.592796 | − | 0.226358i | ||||
\(58\) | −3.36403 | − | 0.901389i | −0.441719 | − | 0.118358i | ||||
\(59\) | −1.50208 | − | 5.60584i | −0.195554 | − | 0.729818i | −0.992123 | − | 0.125270i | \(-0.960020\pi\) |
0.796568 | − | 0.604548i | \(-0.206646\pi\) | |||||||
\(60\) | −1.30221 | + | 1.05831i | −0.168115 | + | 0.136627i | ||||
\(61\) | 0.594016 | + | 1.02887i | 0.0760560 | + | 0.131733i | 0.901545 | − | 0.432685i | \(-0.142434\pi\) |
−0.825489 | + | 0.564418i | \(0.809101\pi\) | |||||||
\(62\) | −2.49721 | −0.317146 | ||||||||
\(63\) | 1.21945 | + | 7.84302i | 0.153636 | + | 0.988128i | ||||
\(64\) | − | 1.00000i | − | 0.125000i | ||||||
\(65\) | 3.47494 | − | 0.355640i | 0.431013 | − | 0.0441118i | ||||
\(66\) | 1.76558 | + | 0.182432i | 0.217328 | + | 0.0224558i | ||||
\(67\) | −0.436237 | − | 1.62806i | −0.0532948 | − | 0.198899i | 0.934145 | − | 0.356893i | \(-0.116164\pi\) |
−0.987440 | + | 0.157994i | \(0.949497\pi\) | |||||||
\(68\) | −3.56434 | + | 2.05787i | −0.432239 | + | 0.249554i | ||||
\(69\) | −0.450660 | − | 1.00743i | −0.0542531 | − | 0.121280i | ||||
\(70\) | −0.417044 | + | 2.52907i | −0.0498463 | + | 0.302282i | ||||
\(71\) | −8.55610 | − | 8.55610i | −1.01542 | − | 1.01542i | −0.999879 | − | 0.0155429i | \(-0.995052\pi\) |
−0.0155429 | − | 0.999879i | \(-0.504948\pi\) | |||||||
\(72\) | 2.51025 | − | 1.64276i | 0.295836 | − | 0.193601i | ||||
\(73\) | −12.7721 | + | 3.42226i | −1.49486 | + | 0.400545i | −0.911373 | − | 0.411581i | \(-0.864977\pi\) |
−0.583482 | + | 0.812126i | \(0.698310\pi\) | |||||||
\(74\) | −2.50565 | − | 1.44664i | −0.291275 | − | 0.168168i | ||||
\(75\) | 5.69835 | + | 4.12480i | 0.657988 | + | 0.476291i | ||||
\(76\) | 1.95579 | + | 1.95579i | 0.224345 | + | 0.224345i | ||||
\(77\) | 2.20359 | − | 1.57972i | 0.251122 | − | 0.180026i | ||||
\(78\) | −6.24500 | − | 0.00607038i | −0.707106 | − | 0.000687335i | ||||
\(79\) | −0.0157356 | − | 0.0272549i | −0.00177039 | − | 0.00306641i | 0.865139 | − | 0.501532i | \(-0.167230\pi\) |
−0.866909 | + | 0.498466i | \(0.833897\pi\) | |||||||
\(80\) | 0.935798 | − | 0.250746i | 0.104625 | − | 0.0280343i | ||||
\(81\) | 8.24745 | + | 3.60271i | 0.916384 | + | 0.400301i | ||||
\(82\) | 0.0592998 | − | 0.0342367i | 0.00654856 | − | 0.00378082i | ||||
\(83\) | −6.06316 | − | 6.06316i | −0.665518 | − | 0.665518i | 0.291157 | − | 0.956675i | \(-0.405960\pi\) |
−0.956675 | + | 0.291157i | \(0.905960\pi\) | |||||||
\(84\) | 1.20637 | − | 4.42094i | 0.131626 | − | 0.482364i | ||||
\(85\) | −2.81950 | − | 2.81950i | −0.305817 | − | 0.305817i | ||||
\(86\) | 8.38293 | + | 2.24620i | 0.903955 | + | 0.242214i | ||||
\(87\) | −0.619988 | + | 6.00027i | −0.0664697 | + | 0.643296i | ||||
\(88\) | −0.887491 | − | 0.512393i | −0.0946069 | − | 0.0546213i | ||||
\(89\) | 6.23472 | + | 1.67059i | 0.660879 | + | 0.177082i | 0.573643 | − | 0.819106i | \(-0.305530\pi\) |
0.0872363 | + | 0.996188i | \(0.472196\pi\) | |||||||
\(90\) | 2.16672 | + | 1.93717i | 0.228393 | + | 0.204196i | ||||
\(91\) | −7.14682 | + | 6.31847i | −0.749190 | + | 0.662355i | ||||
\(92\) | 0.637183i | 0.0664309i | ||||||||
\(93\) | 0.684135 | + | 4.27084i | 0.0709415 | + | 0.442866i | ||||
\(94\) | −1.67666 | + | 2.90406i | −0.172934 | + | 0.299531i | ||||
\(95\) | −1.33982 | + | 2.32064i | −0.137463 | + | 0.238092i | ||||
\(96\) | −1.71025 | + | 0.273960i | −0.174551 | + | 0.0279610i | ||||
\(97\) | −8.64212 | + | 8.64212i | −0.877475 | + | 0.877475i | −0.993273 | − | 0.115798i | \(-0.963057\pi\) |
0.115798 | + | 0.993273i | \(0.463057\pi\) | |||||||
\(98\) | −3.09847 | − | 6.27690i | −0.312993 | − | 0.634063i | ||||
\(99\) | −0.171696 | − | 3.06956i | −0.0172561 | − | 0.308503i | ||||
\(100\) | −2.03070 | − | 3.51728i | −0.203070 | − | 0.351728i | ||||
\(101\) | 5.68164 | − | 9.84089i | 0.565344 | − | 0.979205i | −0.431673 | − | 0.902030i | \(-0.642077\pi\) |
0.997018 | − | 0.0771748i | \(-0.0245900\pi\) | |||||||
\(102\) | 4.49596 | + | 5.53212i | 0.445166 | + | 0.547762i | ||||
\(103\) | 12.5991 | − | 7.27409i | 1.24143 | − | 0.716738i | 0.272042 | − | 0.962285i | \(-0.412301\pi\) |
0.969385 | + | 0.245548i | \(0.0789678\pi\) | |||||||
\(104\) | 3.28982 | + | 1.47550i | 0.322593 | + | 0.144685i | ||||
\(105\) | 4.43959 | + | 0.0203837i | 0.433260 | + | 0.00198924i | ||||
\(106\) | 5.61145 | − | 5.61145i | 0.545032 | − | 0.545032i | ||||
\(107\) | −7.41867 | + | 4.28317i | −0.717189 | + | 0.414070i | −0.813717 | − | 0.581261i | \(-0.802560\pi\) |
0.0965279 | + | 0.995330i | \(0.469226\pi\) | |||||||
\(108\) | −3.49723 | − | 3.84310i | −0.336521 | − | 0.369802i | ||||
\(109\) | −0.251389 | − | 0.938198i | −0.0240787 | − | 0.0898631i | 0.952841 | − | 0.303470i | \(-0.0981454\pi\) |
−0.976920 | + | 0.213607i | \(0.931479\pi\) | |||||||
\(110\) | 0.256961 | − | 0.958993i | 0.0245003 | − | 0.0914364i | ||||
\(111\) | −1.78766 | + | 4.68160i | −0.169677 | + | 0.444357i | ||||
\(112\) | −1.67805 | + | 2.04552i | −0.158561 | + | 0.193284i | ||||
\(113\) | − | 8.13853i | − | 0.765608i | −0.923829 | − | 0.382804i | \(-0.874958\pi\) | ||
0.923829 | − | 0.382804i | \(-0.125042\pi\) | |||||||
\(114\) | 2.80908 | − | 3.88070i | 0.263095 | − | 0.363461i | ||||
\(115\) | −0.596274 | + | 0.159771i | −0.0556029 | + | 0.0148987i | ||||
\(116\) | 1.74135 | − | 3.01611i | 0.161680 | − | 0.280039i | ||||
\(117\) | 1.70050 | + | 10.6821i | 0.157211 | + | 0.987565i | ||||
\(118\) | 5.80359 | 0.534264 | ||||||||
\(119\) | 10.7441 | + | 1.77171i | 0.984913 | + | 0.162412i | ||||
\(120\) | −0.685209 | − | 1.53175i | −0.0625508 | − | 0.139829i | ||||
\(121\) | 8.61679 | − | 4.97491i | 0.783345 | − | 0.452264i | ||||
\(122\) | −1.14755 | + | 0.307485i | −0.103894 | + | 0.0278384i | ||||
\(123\) | −0.0747991 | − | 0.0920378i | −0.00674440 | − | 0.00829877i | ||||
\(124\) | 0.646325 | − | 2.41212i | 0.0580417 | − | 0.216614i | ||||
\(125\) | 6.20753 | − | 6.20753i | 0.555218 | − | 0.555218i | ||||
\(126\) | −7.89139 | − | 0.852027i | −0.703021 | − | 0.0759046i | ||||
\(127\) | − | 20.2101i | − | 1.79335i | −0.442687 | − | 0.896676i | \(-0.645975\pi\) | ||
0.442687 | − | 0.896676i | \(-0.354025\pi\) | |||||||
\(128\) | 0.965926 | + | 0.258819i | 0.0853766 | + | 0.0228766i | ||||
\(129\) | 1.54497 | − | 14.9523i | 0.136027 | − | 1.31647i | ||||
\(130\) | −0.555858 | + | 3.44858i | −0.0487520 | + | 0.302460i | ||||
\(131\) | −3.53443 | + | 2.04060i | −0.308805 | + | 0.178288i | −0.646391 | − | 0.763006i | \(-0.723723\pi\) |
0.337587 | + | 0.941294i | \(0.390389\pi\) | |||||||
\(132\) | −0.633182 | + | 1.65820i | −0.0551114 | + | 0.144328i | ||||
\(133\) | −0.718703 | − | 7.28254i | −0.0623194 | − | 0.631476i | ||||
\(134\) | 1.68549 | 0.145604 | ||||||||
\(135\) | 2.71945 | − | 4.23634i | 0.234053 | − | 0.364606i | ||||
\(136\) | −1.06523 | − | 3.97550i | −0.0913429 | − | 0.340897i | ||||
\(137\) | −4.66924 | − | 17.4258i | −0.398920 | − | 1.48879i | −0.814999 | − | 0.579462i | \(-0.803263\pi\) |
0.416079 | − | 0.909328i | \(-0.363404\pi\) | |||||||
\(138\) | 1.08974 | − | 0.174563i | 0.0927649 | − | 0.0148598i | ||||
\(139\) | −19.1544 | −1.62465 | −0.812326 | − | 0.583204i | \(-0.801799\pi\) | ||||
−0.812326 | + | 0.583204i | \(0.801799\pi\) | |||||||
\(140\) | −2.33496 | − | 1.05741i | −0.197340 | − | 0.0893671i | ||||
\(141\) | 5.42600 | + | 2.07190i | 0.456951 | + | 0.174486i | ||||
\(142\) | 10.4790 | − | 6.05008i | 0.879381 | − | 0.507711i | ||||
\(143\) | 2.99517 | − | 2.16365i | 0.250469 | − | 0.180933i | ||||
\(144\) | 0.937080 | + | 2.84989i | 0.0780900 | + | 0.237491i | ||||
\(145\) | 3.25910 | + | 0.873274i | 0.270654 | + | 0.0725215i | ||||
\(146\) | − | 13.2226i | − | 1.09431i | ||||||
\(147\) | −9.88619 | + | 7.01877i | −0.815399 | + | 0.578899i | ||||
\(148\) | 2.04585 | − | 2.04585i | 0.168168 | − | 0.168168i | ||||
\(149\) | −5.29060 | + | 19.7448i | −0.433423 | + | 1.61756i | 0.311389 | + | 0.950282i | \(0.399206\pi\) |
−0.744812 | + | 0.667274i | \(0.767461\pi\) | |||||||
\(150\) | −5.45909 | + | 4.43660i | −0.445733 | + | 0.362247i | ||||
\(151\) | −0.159445 | + | 0.0427232i | −0.0129755 | + | 0.00347676i | −0.265301 | − | 0.964166i | \(-0.585471\pi\) |
0.252325 | + | 0.967642i | \(0.418805\pi\) | |||||||
\(152\) | −2.39535 | + | 1.38296i | −0.194289 | + | 0.112173i | ||||
\(153\) | 8.22959 | − | 9.20478i | 0.665323 | − | 0.744162i | ||||
\(154\) | 0.955562 | + | 2.53736i | 0.0770014 | + | 0.204467i | ||||
\(155\) | 2.41932 | 0.194324 | ||||||||
\(156\) | 1.62219 | − | 6.03063i | 0.129879 | − | 0.482837i | ||||
\(157\) | 2.07855 | − | 3.60015i | 0.165886 | − | 0.287323i | −0.771083 | − | 0.636734i | \(-0.780285\pi\) |
0.936970 | + | 0.349411i | \(0.113618\pi\) | |||||||
\(158\) | 0.0303989 | − | 0.00814535i | 0.00241840 | − | 0.000648009i | ||||
\(159\) | −11.1343 | − | 8.05965i | −0.883005 | − | 0.639172i | ||||
\(160\) | 0.968809i | 0.0765911i | ||||||||
\(161\) | 1.06922 | − | 1.30337i | 0.0842666 | − | 0.102720i | ||||
\(162\) | −5.61455 | + | 7.03398i | −0.441120 | + | 0.552642i | ||||
\(163\) | 2.64096 | − | 9.85619i | 0.206856 | − | 0.771997i | −0.782020 | − | 0.623253i | \(-0.785811\pi\) |
0.988876 | − | 0.148743i | \(-0.0475228\pi\) | |||||||
\(164\) | 0.0177222 | + | 0.0661403i | 0.00138387 | + | 0.00516469i | ||||
\(165\) | −1.71051 | − | 0.176742i | −0.133163 | − | 0.0137593i | ||||
\(166\) | 7.42583 | − | 4.28730i | 0.576356 | − | 0.332759i | ||||
\(167\) | −18.0695 | + | 18.0695i | −1.39826 | + | 1.39826i | −0.593220 | + | 0.805040i | \(0.702144\pi\) |
−0.805040 | + | 0.593220i | \(0.797856\pi\) | |||||||
\(168\) | 3.95807 | + | 2.30948i | 0.305371 | + | 0.178181i | ||||
\(169\) | −9.70824 | + | 8.64581i | −0.746788 | + | 0.665062i | ||||
\(170\) | 3.45316 | − | 1.99368i | 0.264845 | − | 0.152909i | ||||
\(171\) | −7.40654 | − | 3.74107i | −0.566392 | − | 0.286087i | ||||
\(172\) | −4.33933 | + | 7.51593i | −0.330870 | + | 0.573084i | ||||
\(173\) | 2.51736 | + | 4.36020i | 0.191392 | + | 0.331500i | 0.945712 | − | 0.325007i | \(-0.105367\pi\) |
−0.754320 | + | 0.656507i | \(0.772033\pi\) | |||||||
\(174\) | −5.63535 | − | 2.15185i | −0.427215 | − | 0.163131i | ||||
\(175\) | −1.74832 | + | 10.6023i | −0.132161 | + | 0.801458i | ||||
\(176\) | 0.724634 | − | 0.724634i | 0.0546213 | − | 0.0546213i | ||||
\(177\) | −1.58995 | − | 9.92558i | −0.119508 | − | 0.746052i | ||||
\(178\) | −3.22733 | + | 5.58990i | −0.241898 | + | 0.418980i | ||||
\(179\) | −1.24867 | + | 2.16277i | −0.0933302 | + | 0.161653i | −0.908910 | − | 0.416991i | \(-0.863085\pi\) |
0.815580 | + | 0.578644i | \(0.196418\pi\) | |||||||
\(180\) | −2.43195 | + | 1.59152i | −0.181267 | + | 0.118625i | ||||
\(181\) | − | 0.778086i | − | 0.0578347i | −0.999582 | − | 0.0289173i | \(-0.990794\pi\) | ||
0.999582 | − | 0.0289173i | \(-0.00920596\pi\) | |||||||
\(182\) | −4.25344 | − | 8.53863i | −0.315286 | − | 0.632926i | ||||
\(183\) | 0.840259 | + | 1.87836i | 0.0621138 | + | 0.138852i | ||||
\(184\) | −0.615472 | − | 0.164915i | −0.0453732 | − | 0.0121577i | ||||
\(185\) | 2.42749 | + | 1.40151i | 0.178473 | + | 0.103041i | ||||
\(186\) | −4.30238 | − | 0.444551i | −0.315466 | − | 0.0325961i | ||||
\(187\) | −4.07404 | − | 1.09164i | −0.297923 | − | 0.0798283i | ||||
\(188\) | −2.37115 | − | 2.37115i | −0.172934 | − | 0.172934i | ||||
\(189\) | 0.704750 | + | 13.7297i | 0.0512630 | + | 0.998685i | ||||
\(190\) | −1.89479 | − | 1.89479i | −0.137463 | − | 0.137463i | ||||
\(191\) | 18.0065 | − | 10.3961i | 1.30291 | − | 0.752234i | 0.322006 | − | 0.946738i | \(-0.395643\pi\) |
0.980902 | + | 0.194503i | \(0.0623095\pi\) | |||||||
\(192\) | 0.178019 | − | 1.72288i | 0.0128474 | − | 0.124338i | ||||
\(193\) | 20.4978 | − | 5.49236i | 1.47546 | − | 0.395349i | 0.570662 | − | 0.821185i | \(-0.306687\pi\) |
0.904800 | + | 0.425837i | \(0.140020\pi\) | |||||||
\(194\) | −6.11090 | − | 10.5844i | −0.438737 | − | 0.759915i | ||||
\(195\) | 6.05021 | + | 0.00588104i | 0.433264 | + | 0.000421150i | ||||
\(196\) | 6.86496 | − | 1.36831i | 0.490355 | − | 0.0977366i | ||||
\(197\) | 2.00709 | + | 2.00709i | 0.142999 | + | 0.142999i | 0.774982 | − | 0.631983i | \(-0.217759\pi\) |
−0.631983 | + | 0.774982i | \(0.717759\pi\) | |||||||
\(198\) | 3.00941 | + | 0.628615i | 0.213869 | + | 0.0446738i | ||||
\(199\) | −11.4097 | − | 6.58738i | −0.808811 | − | 0.466967i | 0.0377317 | − | 0.999288i | \(-0.487987\pi\) |
−0.846543 | + | 0.532321i | \(0.821320\pi\) | |||||||
\(200\) | 3.92302 | − | 1.05117i | 0.277399 | − | 0.0743289i | ||||
\(201\) | −0.461757 | − | 2.88260i | −0.0325698 | − | 0.203323i | ||||
\(202\) | 8.03505 | + | 8.03505i | 0.565344 | + | 0.565344i | ||||
\(203\) | −8.62314 | + | 3.24744i | −0.605226 | + | 0.227926i | ||||
\(204\) | −6.50726 | + | 2.91094i | −0.455599 | + | 0.203807i | ||||
\(205\) | −0.0574501 | + | 0.0331689i | −0.00401249 | + | 0.00231661i | ||||
\(206\) | 3.76535 | + | 14.0525i | 0.262344 | + | 0.979082i | ||||
\(207\) | −0.597091 | − | 1.81590i | −0.0415007 | − | 0.126214i | ||||
\(208\) | −2.27669 | + | 2.79583i | −0.157860 | + | 0.193856i | ||||
\(209\) | 2.83447i | 0.196064i | ||||||||
\(210\) | −1.16874 | + | 4.28304i | −0.0806508 | + | 0.295558i | ||||
\(211\) | 14.0500 | 0.967244 | 0.483622 | − | 0.875277i | \(-0.339321\pi\) | ||||
0.483622 | + | 0.875277i | \(0.339321\pi\) | |||||||
\(212\) | 3.96789 | + | 6.87259i | 0.272516 | + | 0.472011i | ||||
\(213\) | −13.2180 | − | 16.2643i | −0.905680 | − | 1.11441i | ||||
\(214\) | −2.21713 | − | 8.27445i | −0.151560 | − | 0.565629i | ||||
\(215\) | −8.12146 | − | 2.17614i | −0.553879 | − | 0.148411i | ||||
\(216\) | 4.61730 | − | 2.38340i | 0.314167 | − | 0.162169i | ||||
\(217\) | −5.36972 | + | 3.84947i | −0.364520 | + | 0.261319i | ||||
\(218\) | 0.971294 | 0.0657843 | ||||||||
\(219\) | −22.6139 | + | 3.62247i | −1.52811 | + | 0.244784i | ||||
\(220\) | 0.859810 | + | 0.496411i | 0.0579683 | + | 0.0334680i | ||||
\(221\) | 14.6504 | + | 2.36142i | 0.985495 | + | 0.158847i | ||||
\(222\) | −4.05939 | − | 2.93843i | −0.272449 | − | 0.197215i | ||||
\(223\) | 3.20158 | − | 3.20158i | 0.214394 | − | 0.214394i | −0.591737 | − | 0.806131i | \(-0.701558\pi\) |
0.806131 | + | 0.591737i | \(0.201558\pi\) | |||||||
\(224\) | −1.54151 | − | 2.15029i | −0.102997 | − | 0.143672i | ||||
\(225\) | 9.08326 | + | 8.12094i | 0.605551 | + | 0.541396i | ||||
\(226\) | 7.86122 | + | 2.10641i | 0.522920 | + | 0.140116i | ||||
\(227\) | −21.4347 | + | 5.74340i | −1.42267 | + | 0.381203i | −0.886430 | − | 0.462863i | \(-0.846822\pi\) |
−0.536239 | + | 0.844066i | \(0.680155\pi\) | |||||||
\(228\) | 3.02143 | + | 3.71777i | 0.200099 | + | 0.246215i | ||||
\(229\) | −0.0552409 | + | 0.206162i | −0.00365042 | + | 0.0136236i | −0.967727 | − | 0.252001i | \(-0.918911\pi\) |
0.964077 | + | 0.265624i | \(0.0855781\pi\) | |||||||
\(230\) | − | 0.617309i | − | 0.0407041i | ||||||
\(231\) | 4.07773 | − | 2.32938i | 0.268295 | − | 0.153262i | ||||
\(232\) | 2.46264 | + | 2.46264i | 0.161680 | + | 0.161680i | ||||
\(233\) | 2.96602 | + | 5.13730i | 0.194310 | + | 0.336556i | 0.946674 | − | 0.322192i | \(-0.104420\pi\) |
−0.752364 | + | 0.658748i | \(0.771086\pi\) | |||||||
\(234\) | −10.7583 | − | 1.12219i | −0.703291 | − | 0.0733597i | ||||
\(235\) | 1.62436 | − | 2.81348i | 0.105962 | − | 0.183531i | ||||
\(236\) | −1.50208 | + | 5.60584i | −0.0977771 | + | 0.364909i | ||||
\(237\) | −0.0222586 | − | 0.0497581i | −0.00144585 | − | 0.00323213i | ||||
\(238\) | −4.49213 | + | 9.91948i | −0.291181 | + | 0.642985i | ||||
\(239\) | 16.2577 | + | 16.2577i | 1.05162 | + | 1.05162i | 0.998593 | + | 0.0530291i | \(0.0168876\pi\) |
0.0530291 | + | 0.998593i | \(0.483112\pi\) | |||||||
\(240\) | 1.65690 | − | 0.265415i | 0.106953 | − | 0.0171325i | ||||
\(241\) | 3.82763 | − | 1.02561i | 0.246559 | − | 0.0660653i | −0.133423 | − | 0.991059i | \(-0.542597\pi\) |
0.379982 | + | 0.924994i | \(0.375930\pi\) | |||||||
\(242\) | 2.57520 | + | 9.61078i | 0.165540 | + | 0.617804i | ||||
\(243\) | 13.5680 | + | 7.67523i | 0.870388 | + | 0.492366i | ||||
\(244\) | − | 1.18803i | − | 0.0760560i | ||||||
\(245\) | 3.00183 | + | 6.08112i | 0.191780 | + | 0.388508i | ||||
\(246\) | 0.108261 | − | 0.0484292i | 0.00690247 | − | 0.00308773i | ||||
\(247\) | −1.01534 | − | 9.92081i | −0.0646045 | − | 0.631246i | ||||
\(248\) | 2.16264 | + | 1.24860i | 0.137328 | + | 0.0792864i | ||||
\(249\) | −9.36673 | − | 11.5254i | −0.593592 | − | 0.730395i | ||||
\(250\) | 4.38939 | + | 7.60264i | 0.277609 | + | 0.480833i | ||||
\(251\) | −25.5203 | −1.61082 | −0.805412 | − | 0.592715i | \(-0.798056\pi\) | ||||
−0.805412 | + | 0.592715i | \(0.798056\pi\) | |||||||
\(252\) | 2.86544 | − | 7.40198i | 0.180506 | − | 0.466281i | ||||
\(253\) | −0.461724 | + | 0.461724i | −0.0290284 | + | 0.0290284i | ||||
\(254\) | 19.5214 | + | 5.23075i | 1.22488 | + | 0.328206i | ||||
\(255\) | −4.35572 | − | 5.35957i | −0.272766 | − | 0.335629i | ||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | 5.41632 | + | 9.38134i | 0.337861 | + | 0.585192i | 0.984030 | − | 0.178002i | \(-0.0569634\pi\) |
−0.646169 | + | 0.763194i | \(0.723630\pi\) | |||||||
\(258\) | 14.0429 | + | 5.36225i | 0.874273 | + | 0.333839i | ||||
\(259\) | −7.61787 | + | 0.751796i | −0.473351 | + | 0.0467143i | ||||
\(260\) | −3.18721 | − | 1.42948i | −0.197662 | − | 0.0886523i | ||||
\(261\) | −2.13633 | + | 10.2274i | −0.132235 | + | 0.633058i | ||||
\(262\) | −1.05629 | − | 3.94215i | −0.0652581 | − | 0.243547i | ||||
\(263\) | 1.97029 | + | 1.13755i | 0.121493 | + | 0.0701440i | 0.559515 | − | 0.828820i | \(-0.310987\pi\) |
−0.438022 | + | 0.898964i | \(0.644321\pi\) | |||||||
\(264\) | −1.43782 | − | 1.04078i | −0.0884919 | − | 0.0640557i | ||||
\(265\) | −5.43642 | + | 5.43642i | −0.333957 | + | 0.333957i | ||||
\(266\) | 7.22040 | + | 1.19065i | 0.442711 | + | 0.0730032i | ||||
\(267\) | 10.4443 | + | 3.98812i | 0.639179 | + | 0.244069i | ||||
\(268\) | −0.436237 | + | 1.62806i | −0.0266474 | + | 0.0994494i | ||||
\(269\) | 14.0370 | + | 8.10427i | 0.855852 | + | 0.494126i | 0.862621 | − | 0.505851i | \(-0.168821\pi\) |
−0.00676921 | + | 0.999977i | \(0.502155\pi\) | |||||||
\(270\) | 3.38815 | + | 3.72323i | 0.206196 | + | 0.226588i | ||||
\(271\) | −8.39621 | + | 31.3351i | −0.510033 | + | 1.90347i | −0.0900530 | + | 0.995937i | \(0.528704\pi\) |
−0.419980 | + | 0.907533i | \(0.637963\pi\) | |||||||
\(272\) | 4.11574 | 0.249554 | ||||||||
\(273\) | −13.4379 | + | 9.61367i | −0.813299 | + | 0.581846i | ||||
\(274\) | 18.0406 | 1.08987 | ||||||||
\(275\) | 1.07723 | − | 4.02026i | 0.0649591 | − | 0.242431i | ||||
\(276\) | −0.113431 | + | 1.09779i | −0.00682774 | + | 0.0660791i | ||||
\(277\) | 24.4046 | + | 14.0900i | 1.46633 | + | 0.846585i | 0.999291 | − | 0.0376525i | \(-0.0119880\pi\) |
0.467037 | + | 0.884238i | \(0.345321\pi\) | |||||||
\(278\) | 4.95751 | − | 18.5017i | 0.297332 | − | 1.10966i | ||||
\(279\) | 0.418390 | + | 7.47993i | 0.0250484 | + | 0.447812i | ||||
\(280\) | 1.62571 | − | 1.98172i | 0.0971546 | − | 0.118430i | ||||
\(281\) | 13.0253 | − | 13.0253i | 0.777021 | − | 0.777021i | −0.202302 | − | 0.979323i | \(-0.564842\pi\) |
0.979323 | + | 0.202302i | \(0.0648422\pi\) | |||||||
\(282\) | −3.40566 | + | 4.70486i | −0.202804 | + | 0.280170i | ||||
\(283\) | −17.8732 | − | 10.3191i | −1.06245 | − | 0.613408i | −0.136344 | − | 0.990662i | \(-0.543535\pi\) |
−0.926110 | + | 0.377254i | \(0.876868\pi\) | |||||||
\(284\) | 3.13175 | + | 11.6878i | 0.185835 | + | 0.693546i | ||||
\(285\) | −2.72146 | + | 3.75966i | −0.161206 | + | 0.222703i | ||||
\(286\) | 1.31472 | + | 3.45311i | 0.0777409 | + | 0.204187i | ||||
\(287\) | 0.0747354 | − | 0.165030i | 0.00441149 | − | 0.00974142i | ||||
\(288\) | −2.99532 | + | 0.167543i | −0.176501 | + | 0.00987258i | ||||
\(289\) | 0.0303301 | + | 0.0525333i | 0.00178413 | + | 0.00309020i | ||||
\(290\) | −1.68704 | + | 2.92203i | −0.0990662 | + | 0.171588i | ||||
\(291\) | −16.4278 | + | 13.3509i | −0.963014 | + | 0.782641i | ||||
\(292\) | 12.7721 | + | 3.42226i | 0.747428 | + | 0.200273i | ||||
\(293\) | −21.8967 | + | 21.8967i | −1.27922 | + | 1.27922i | −0.338117 | + | 0.941104i | \(0.609790\pi\) |
−0.941104 | + | 0.338117i | \(0.890210\pi\) | |||||||
\(294\) | −4.22088 | − | 11.3659i | −0.246167 | − | 0.662874i | ||||
\(295\) | −5.62257 | −0.327359 | ||||||||
\(296\) | 1.44664 | + | 2.50565i | 0.0840840 | + | 0.145638i | ||||
\(297\) | 0.250630 | − | 5.31905i | 0.0145430 | − | 0.308642i | ||||
\(298\) | −17.7027 | − | 10.2207i | −1.02549 | − | 0.592067i | ||||
\(299\) | 1.45067 | − | 1.78146i | 0.0838943 | − | 0.103024i | ||||
\(300\) | −2.87251 | − | 6.42136i | −0.165845 | − | 0.370737i | ||||
\(301\) | 21.4883 | − | 8.09240i | 1.23856 | − | 0.466438i | ||||
\(302\) | − | 0.165070i | − | 0.00949869i | ||||||
\(303\) | 11.5406 | − | 15.9432i | 0.662992 | − | 0.915913i | ||||
\(304\) | −0.715871 | − | 2.67167i | −0.0410580 | − | 0.153231i | ||||
\(305\) | 1.11176 | − | 0.297895i | 0.0636591 | − | 0.0170574i | ||||
\(306\) | 6.76116 | + | 10.3315i | 0.386510 | + | 0.590615i | ||||
\(307\) | 11.4023 | + | 11.4023i | 0.650764 | + | 0.650764i | 0.953177 | − | 0.302413i | \(-0.0977921\pi\) |
−0.302413 | + | 0.953177i | \(0.597792\pi\) | |||||||
\(308\) | −2.69822 | + | 0.266284i | −0.153746 | + | 0.0151729i | ||||
\(309\) | 23.0016 | − | 10.2895i | 1.30852 | − | 0.585349i | ||||
\(310\) | −0.626165 | + | 2.33688i | −0.0355638 | + | 0.132726i | ||||
\(311\) | −8.76323 | + | 15.1784i | −0.496917 | + | 0.860686i | −0.999994 | − | 0.00355622i | \(-0.998868\pi\) |
0.503077 | + | 0.864242i | \(0.332201\pi\) | |||||||
\(312\) | 5.40529 | + | 3.12775i | 0.306014 | + | 0.177074i | ||||
\(313\) | 2.56506 | + | 4.44282i | 0.144986 | + | 0.251123i | 0.929368 | − | 0.369155i | \(-0.120353\pi\) |
−0.784382 | + | 0.620278i | \(0.787020\pi\) | |||||||
\(314\) | 2.93951 | + | 2.93951i | 0.165886 | + | 0.165886i | ||||
\(315\) | 7.64525 | + | 0.825452i | 0.430761 | + | 0.0465089i | ||||
\(316\) | 0.0314712i | 0.00177039i | ||||||||
\(317\) | −6.96668 | + | 26.0000i | −0.391288 | + | 1.46031i | 0.436724 | + | 0.899596i | \(0.356139\pi\) |
−0.828012 | + | 0.560711i | \(0.810528\pi\) | |||||||
\(318\) | 10.6668 | − | 8.66889i | 0.598163 | − | 0.486127i | ||||
\(319\) | 3.44741 | − | 0.923732i | 0.193018 | − | 0.0517191i | ||||
\(320\) | −0.935798 | − | 0.250746i | −0.0523127 | − | 0.0140171i | ||||
\(321\) | −13.5439 | + | 6.05871i | −0.755949 | + | 0.338164i | ||||
\(322\) | 0.982225 | + | 1.37013i | 0.0547372 | + | 0.0763542i | ||||
\(323\) | −8.04955 | + | 8.04955i | −0.447889 | + | 0.447889i | ||||
\(324\) | −5.34115 | − | 7.24376i | −0.296731 | − | 0.402431i | ||||
\(325\) | −2.33025 | + | 14.4570i | −0.129259 | + | 0.801931i | ||||
\(326\) | 8.83682 | + | 5.10194i | 0.489426 | + | 0.282570i | ||||
\(327\) | −0.266096 | − | 1.66115i | −0.0147151 | − | 0.0918620i | ||||
\(328\) | −0.0684735 | −0.00378082 | ||||||||
\(329\) | 0.871336 | + | 8.82915i | 0.0480383 | + | 0.486767i | ||||
\(330\) | 0.613432 | − | 1.60648i | 0.0337683 | − | 0.0884340i | ||||
\(331\) | −5.21409 | − | 1.39711i | −0.286592 | − | 0.0767922i | 0.112659 | − | 0.993634i | \(-0.464063\pi\) |
−0.399251 | + | 0.916841i | \(0.630730\pi\) | |||||||
\(332\) | 2.21927 | + | 8.28243i | 0.121798 | + | 0.454557i | ||||
\(333\) | −3.91333 | + | 7.74758i | −0.214449 | + | 0.424565i | ||||
\(334\) | −12.7771 | − | 22.1305i | −0.699130 | − | 1.21093i | ||||
\(335\) | −1.63292 | −0.0892158 | ||||||||
\(336\) | −3.25521 | + | 3.22546i | −0.177586 | + | 0.175963i | ||||
\(337\) | 24.6635i | 1.34350i | 0.740776 | + | 0.671752i | \(0.234458\pi\) | ||||
−0.740776 | + | 0.671752i | \(0.765542\pi\) | |||||||
\(338\) | −5.83853 | − | 11.6151i | −0.317574 | − | 0.631780i | ||||
\(339\) | 1.44881 | − | 14.0217i | 0.0786888 | − | 0.761554i | ||||
\(340\) | 1.03201 | + | 3.85150i | 0.0559684 | + | 0.208877i | ||||
\(341\) | 2.21625 | − | 1.27955i | 0.120017 | − | 0.0692916i | ||||
\(342\) | 5.53055 | − | 6.18591i | 0.299058 | − | 0.334496i | ||||
\(343\) | −16.3385 | − | 8.72082i | −0.882197 | − | 0.470880i | ||||
\(344\) | −6.13673 | − | 6.13673i | −0.330870 | − | 0.330870i | ||||
\(345\) | −1.05575 | + | 0.169118i | −0.0568397 | + | 0.00910501i | ||||
\(346\) | −4.86317 | + | 1.30308i | −0.261446 | + | 0.0700542i | ||||
\(347\) | −22.4958 | − | 12.9880i | −1.20764 | − | 0.697230i | −0.245395 | − | 0.969423i | \(-0.578918\pi\) |
−0.962243 | + | 0.272193i | \(0.912251\pi\) | |||||||
\(348\) | 3.53706 | − | 4.88639i | 0.189606 | − | 0.261938i | ||||
\(349\) | 20.0901 | + | 20.0901i | 1.07540 | + | 1.07540i | 0.996916 | + | 0.0784823i | \(0.0250074\pi\) |
0.0784823 | + | 0.996916i | \(0.474993\pi\) | |||||||
\(350\) | −9.78853 | − | 4.43282i | −0.523219 | − | 0.236944i | ||||
\(351\) | 1.02812 | + | 18.7068i | 0.0548772 | + | 0.998493i | ||||
\(352\) | 0.512393 | + | 0.887491i | 0.0273107 | + | 0.0473034i | ||||
\(353\) | −12.7338 | + | 3.41201i | −0.677752 | + | 0.181603i | −0.581244 | − | 0.813729i | \(-0.697434\pi\) |
−0.0965075 | + | 0.995332i | \(0.530767\pi\) | |||||||
\(354\) | 9.99889 | + | 1.03315i | 0.531435 | + | 0.0549114i | ||||
\(355\) | −10.1522 | + | 5.86137i | −0.538822 | + | 0.311089i | ||||
\(356\) | −4.56413 | − | 4.56413i | −0.241898 | − | 0.241898i | ||||
\(357\) | 18.1954 | + | 4.96510i | 0.963005 | + | 0.262781i | ||||
\(358\) | −1.76589 | − | 1.76589i | −0.0933302 | − | 0.0933302i | ||||
\(359\) | −8.86671 | − | 2.37583i | −0.467967 | − | 0.125391i | 0.0171272 | − | 0.999853i | \(-0.494548\pi\) |
−0.485094 | + | 0.874462i | \(0.661215\pi\) | |||||||
\(360\) | −0.907851 | − | 2.76100i | −0.0478480 | − | 0.145518i | ||||
\(361\) | −9.82916 | − | 5.67487i | −0.517324 | − | 0.298677i | ||||
\(362\) | 0.751574 | + | 0.201384i | 0.0395018 | + | 0.0105845i | ||||
\(363\) | 15.7313 | − | 7.03720i | 0.825680 | − | 0.369357i | ||||
\(364\) | 9.34856 | − | 1.89854i | 0.489998 | − | 0.0995107i | ||||
\(365\) | 12.8102i | 0.670515i | ||||||||
\(366\) | −2.03183 | + | 0.325474i | −0.106205 | + | 0.0170128i | ||||
\(367\) | −7.46508 | + | 12.9299i | −0.389674 | + | 0.674935i | −0.992406 | − | 0.123009i | \(-0.960746\pi\) |
0.602732 | + | 0.797944i | \(0.294079\pi\) | |||||||
\(368\) | 0.318592 | − | 0.551817i | 0.0166077 | − | 0.0287654i | ||||
\(369\) | −0.112485 | − | 0.171886i | −0.00585574 | − | 0.00894800i | ||||
\(370\) | −1.98204 | + | 1.98204i | −0.103041 | + | 0.103041i | ||||
\(371\) | 3.41613 | − | 20.7163i | 0.177356 | − | 1.07554i | ||||
\(372\) | 1.54294 | − | 4.04072i | 0.0799978 | − | 0.209502i | ||||
\(373\) | −10.8093 | − | 18.7223i | −0.559686 | − | 0.969404i | −0.997522 | − | 0.0703493i | \(-0.977589\pi\) |
0.437837 | − | 0.899054i | \(-0.355745\pi\) | |||||||
\(374\) | 2.10888 | − | 3.65269i | 0.109048 | − | 0.188876i | ||||
\(375\) | 11.7999 | − | 9.58976i | 0.609343 | − | 0.495213i | ||||
\(376\) | 2.90406 | − | 1.67666i | 0.149765 | − | 0.0864671i | ||||
\(377\) | −11.7353 | + | 4.46802i | −0.604397 | + | 0.230115i | ||||
\(378\) | −13.4442 | − | 2.87276i | −0.691496 | − | 0.147759i | ||||
\(379\) | 14.4640 | − | 14.4640i | 0.742967 | − | 0.742967i | −0.230181 | − | 0.973148i | \(-0.573932\pi\) |
0.973148 | + | 0.230181i | \(0.0739318\pi\) | |||||||
\(380\) | 2.32064 | − | 1.33982i | 0.119046 | − | 0.0687313i | ||||
\(381\) | 3.59778 | − | 34.8195i | 0.184320 | − | 1.78386i | ||||
\(382\) | 5.38141 | + | 20.0837i | 0.275337 | + | 1.02757i | ||||
\(383\) | 7.44941 | − | 27.8016i | 0.380647 | − | 1.42059i | −0.464268 | − | 0.885695i | \(-0.653683\pi\) |
0.844915 | − | 0.534900i | \(-0.179651\pi\) | |||||||
\(384\) | 1.61810 | + | 0.617867i | 0.0825732 | + | 0.0315304i | ||||
\(385\) | −0.925757 | − | 2.45822i | −0.0471809 | − | 0.125283i | ||||
\(386\) | 21.2209i | 1.08011i | ||||||||
\(387\) | 5.32358 | − | 25.4859i | 0.270613 | − | 1.29552i | ||||
\(388\) | 11.8054 | − | 3.16324i | 0.599326 | − | 0.160589i | ||||
\(389\) | 2.90415 | − | 5.03013i | 0.147246 | − | 0.255038i | −0.782963 | − | 0.622069i | \(-0.786292\pi\) |
0.930209 | + | 0.367031i | \(0.119626\pi\) | |||||||
\(390\) | −1.57159 | + | 5.84253i | −0.0795805 | + | 0.295848i | ||||
\(391\) | −2.62248 | −0.132625 | ||||||||
\(392\) | −0.455095 | + | 6.98519i | −0.0229858 | + | 0.352805i | ||||
\(393\) | −6.45266 | + | 2.88652i | −0.325494 | + | 0.145605i | ||||
\(394\) | −2.45817 | + | 1.41923i | −0.123841 | + | 0.0714997i | ||||
\(395\) | −0.0294507 | + | 0.00789129i | −0.00148183 | + | 0.000397054i | ||||
\(396\) | −1.38609 | + | 2.74417i | −0.0696535 | + | 0.137900i | ||||
\(397\) | 5.51587 | − | 20.5855i | 0.276834 | − | 1.03316i | −0.677769 | − | 0.735275i | \(-0.737053\pi\) |
0.954603 | − | 0.297882i | \(-0.0962803\pi\) | |||||||
\(398\) | 9.31597 | − | 9.31597i | 0.466967 | − | 0.466967i | ||||
\(399\) | 0.0581946 | − | 12.6749i | 0.00291337 | − | 0.634537i | ||||
\(400\) | 4.06141i | 0.203070i | ||||||||
\(401\) | −5.68116 | − | 1.52226i | −0.283703 | − | 0.0760181i | 0.114161 | − | 0.993462i | \(-0.463582\pi\) |
−0.397865 | + | 0.917444i | \(0.630249\pi\) | |||||||
\(402\) | 2.90389 | + | 0.300049i | 0.144833 | + | 0.0149651i | ||||
\(403\) | −7.29866 | + | 5.27240i | −0.363572 | + | 0.262637i | ||||
\(404\) | −9.84089 | + | 5.68164i | −0.489602 | + | 0.282672i | ||||
\(405\) | 5.43942 | − | 6.81458i | 0.270287 | − | 0.338619i | ||||
\(406\) | −0.904955 | − | 9.16981i | −0.0449122 | − | 0.455090i | ||||
\(407\) | 2.96499 | 0.146969 | ||||||||
\(408\) | −1.12755 | − | 7.03894i | −0.0558220 | − | 0.348479i | ||||
\(409\) | −0.0937626 | − | 0.349927i | −0.00463626 | − | 0.0173028i | 0.963569 | − | 0.267460i | \(-0.0861843\pi\) |
−0.968205 | + | 0.250157i | \(0.919518\pi\) | |||||||
\(410\) | −0.0171695 | − | 0.0640773i | −0.000847939 | − | 0.00316455i | ||||
\(411\) | −4.94240 | − | 30.8538i | −0.243790 | − | 1.52191i | ||||
\(412\) | −14.5482 | −0.716738 | ||||||||
\(413\) | 12.4794 | − | 8.94630i | 0.614071 | − | 0.440219i | ||||
\(414\) | 1.90857 | − | 0.106756i | 0.0938009 | − | 0.00524676i | ||||
\(415\) | −7.19421 | + | 4.15358i | −0.353150 | + | 0.203891i | ||||
\(416\) | −2.11132 | − | 2.92273i | −0.103516 | − | 0.143299i | ||||
\(417\) | −33.0006 | − | 3.40985i | −1.61605 | − | 0.166981i | ||||
\(418\) | −2.73789 | − | 0.733615i | −0.133914 | − | 0.0358823i | ||||
\(419\) | 4.19355i | 0.204869i | 0.994740 | + | 0.102434i | \(0.0326631\pi\) | ||||
−0.994740 | + | 0.102434i | \(0.967337\pi\) | |||||||
\(420\) | −3.83461 | − | 2.23745i | −0.187110 | − | 0.109176i | ||||
\(421\) | −1.34291 | + | 1.34291i | −0.0654495 | + | 0.0654495i | −0.739074 | − | 0.673624i | \(-0.764737\pi\) |
0.673624 | + | 0.739074i | \(0.264737\pi\) | |||||||
\(422\) | −3.63642 | + | 13.5713i | −0.177018 | + | 0.660640i | ||||
\(423\) | 8.97949 | + | 4.53557i | 0.436598 | + | 0.220527i | ||||
\(424\) | −7.66538 | + | 2.05393i | −0.372264 | + | 0.0997477i | ||||
\(425\) | 14.4762 | − | 8.35786i | 0.702201 | − | 0.405416i | ||||
\(426\) | 19.1311 | − | 8.55807i | 0.926907 | − | 0.414640i | ||||
\(427\) | −1.99357 | + | 2.43015i | −0.0964758 | + | 0.117603i | ||||
\(428\) | 8.56634 | 0.414070 | ||||||||
\(429\) | 5.54549 | − | 3.19451i | 0.267739 | − | 0.154232i | ||||
\(430\) | 4.20398 | − | 7.28150i | 0.202734 | − | 0.351145i | ||||
\(431\) | 31.4848 | − | 8.43634i | 1.51657 | − | 0.406364i | 0.597960 | − | 0.801526i | \(-0.295978\pi\) |
0.918611 | + | 0.395162i | \(0.129312\pi\) | |||||||
\(432\) | 1.10714 | + | 5.07683i | 0.0532672 | + | 0.244259i | ||||
\(433\) | − | 21.9098i | − | 1.05292i | −0.850201 | − | 0.526458i | \(-0.823520\pi\) | ||
0.850201 | − | 0.526458i | \(-0.176480\pi\) | |||||||
\(434\) | −2.32852 | − | 6.18306i | −0.111772 | − | 0.296797i | ||||
\(435\) | 5.45958 | + | 2.08473i | 0.261767 | + | 0.0999551i | ||||
\(436\) | −0.251389 | + | 0.938198i | −0.0120394 | + | 0.0449315i | ||||
\(437\) | 0.456141 | + | 1.70234i | 0.0218202 | + | 0.0814340i | ||||
\(438\) | 2.35388 | − | 22.7809i | 0.112473 | − | 1.08852i | ||||
\(439\) | 5.86906 | − | 3.38851i | 0.280115 | − | 0.161725i | −0.353360 | − | 0.935487i | \(-0.614961\pi\) |
0.633476 | + | 0.773763i | \(0.281628\pi\) | |||||||
\(440\) | −0.702032 | + | 0.702032i | −0.0334680 | + | 0.0334680i | ||||
\(441\) | −18.2822 | + | 10.3326i | −0.870580 | + | 0.492027i | ||||
\(442\) | −6.07277 | + | 13.5400i | −0.288852 | + | 0.644034i | ||||
\(443\) | 30.3397 | − | 17.5166i | 1.44148 | − | 0.832240i | 0.443533 | − | 0.896258i | \(-0.353725\pi\) |
0.997949 | + | 0.0640182i | \(0.0203916\pi\) | |||||||
\(444\) | 3.88895 | − | 3.16055i | 0.184562 | − | 0.149993i | ||||
\(445\) | 3.12666 | − | 5.41554i | 0.148218 | − | 0.256721i | ||||
\(446\) | 2.26386 | + | 3.92112i | 0.107197 | + | 0.185671i | ||||
\(447\) | −12.6300 | + | 33.0760i | −0.597379 | + | 1.56444i | ||||
\(448\) | 2.47599 | − | 0.932449i | 0.116980 | − | 0.0440541i | ||||
\(449\) | −2.14151 | + | 2.14151i | −0.101064 | + | 0.101064i | −0.755831 | − | 0.654767i | \(-0.772767\pi\) |
0.654767 | + | 0.755831i | \(0.272767\pi\) | |||||||
\(450\) | −10.1952 | + | 6.67190i | −0.480604 | + | 0.314517i | ||||
\(451\) | −0.0350854 | + | 0.0607696i | −0.00165210 | + | 0.00286153i | ||||
\(452\) | −4.06926 | + | 7.04817i | −0.191402 | + | 0.331518i | ||||
\(453\) | −0.282310 | + | 0.0452225i | −0.0132641 | + | 0.00212474i | ||||
\(454\) | − | 22.1908i | − | 1.04147i | ||||||
\(455\) | 4.12077 | + | 8.27231i | 0.193185 | + | 0.387812i | ||||
\(456\) | −4.37309 | + | 1.95625i | −0.204789 | + | 0.0916096i | ||||
\(457\) | 30.6514 | + | 8.21302i | 1.43381 | + | 0.384189i | 0.890363 | − | 0.455252i | \(-0.150451\pi\) |
0.543451 | + | 0.839441i | \(0.317118\pi\) | |||||||
\(458\) | −0.184840 | − | 0.106717i | −0.00863698 | − | 0.00498657i | ||||
\(459\) | 15.8172 | − | 14.3937i | 0.738284 | − | 0.671840i | ||||
\(460\) | 0.596274 | + | 0.159771i | 0.0278014 | + | 0.00744937i | ||||
\(461\) | −11.2027 | − | 11.2027i | −0.521764 | − | 0.521764i | 0.396340 | − | 0.918104i | \(-0.370280\pi\) |
−0.918104 | + | 0.396340i | \(0.870280\pi\) | |||||||
\(462\) | 1.19462 | + | 4.54168i | 0.0555786 | + | 0.211298i | ||||
\(463\) | −17.5213 | − | 17.5213i | −0.814284 | − | 0.814284i | 0.170989 | − | 0.985273i | \(-0.445304\pi\) |
−0.985273 | + | 0.170989i | \(0.945304\pi\) | |||||||
\(464\) | −3.01611 | + | 1.74135i | −0.140019 | + | 0.0808402i | ||||
\(465\) | 4.16819 | + | 0.430685i | 0.193295 | + | 0.0199725i | ||||
\(466\) | −5.72991 | + | 1.53533i | −0.265433 | + | 0.0711226i | ||||
\(467\) | 17.3288 | + | 30.0144i | 0.801882 | + | 1.38890i | 0.918376 | + | 0.395708i | \(0.129501\pi\) |
−0.116495 | + | 0.993191i | \(0.537166\pi\) | |||||||
\(468\) | 3.86840 | − | 10.1013i | 0.178817 | − | 0.466931i | ||||
\(469\) | 3.62429 | − | 2.59820i | 0.167354 | − | 0.119974i | ||||
\(470\) | 2.29720 | + | 2.29720i | 0.105962 | + | 0.105962i | ||||
\(471\) | 4.22198 | − | 5.83260i | 0.194539 | − | 0.268752i | ||||
\(472\) | −5.02606 | − | 2.90180i | −0.231343 | − | 0.133566i | ||||
\(473\) | −8.59072 | + | 2.30188i | −0.395002 | + | 0.105840i | ||||
\(474\) | 0.0538236 | − | 0.00862186i | 0.00247220 | − | 0.000396015i | ||||
\(475\) | −7.94328 | − | 7.94328i | −0.364463 | − | 0.364463i | ||||
\(476\) | −8.41884 | − | 6.90641i | −0.385877 | − | 0.316555i | ||||
\(477\) | −17.7482 | − | 15.8679i | −0.812635 | − | 0.726541i | ||||
\(478\) | −19.9115 | + | 11.4959i | −0.910731 | + | 0.525811i | ||||
\(479\) | −1.42097 | − | 5.30314i | −0.0649259 | − | 0.242307i | 0.925835 | − | 0.377929i | \(-0.123363\pi\) |
−0.990761 | + | 0.135622i | \(0.956697\pi\) | |||||||
\(480\) | −0.172467 | + | 1.66914i | −0.00787199 | + | 0.0761855i | ||||
\(481\) | −10.3776 | + | 1.06209i | −0.473179 | + | 0.0484272i | ||||
\(482\) | 3.96265i | 0.180494i | ||||||||
\(483\) | 2.07417 | − | 2.05521i | 0.0943779 | − | 0.0935152i | ||||
\(484\) | −9.94981 | −0.452264 | ||||||||
\(485\) | 5.92030 | + | 10.2543i | 0.268827 | + | 0.465622i | ||||
\(486\) | −10.9254 | + | 11.1192i | −0.495585 | + | 0.504377i | ||||
\(487\) | 6.42991 | + | 23.9967i | 0.291367 | + | 1.08740i | 0.944060 | + | 0.329774i | \(0.106972\pi\) |
−0.652693 | + | 0.757622i | \(0.726361\pi\) | |||||||
\(488\) | 1.14755 | + | 0.307485i | 0.0519472 | + | 0.0139192i | ||||
\(489\) | 6.30464 | − | 16.5109i | 0.285106 | − | 0.746648i | ||||
\(490\) | −6.65084 | + | 1.32563i | −0.300454 | + | 0.0598860i | ||||
\(491\) | −13.7326 | −0.619744 | −0.309872 | − | 0.950778i | \(-0.600286\pi\) | ||||
−0.309872 | + | 0.950778i | \(0.600286\pi\) | |||||||
\(492\) | 0.0187590 | + | 0.117107i | 0.000845722 | + | 0.00527957i | ||||
\(493\) | 12.4135 | + | 7.16695i | 0.559077 | + | 0.322783i | ||||
\(494\) | 9.84556 | + | 1.58695i | 0.442973 | + | 0.0714004i | ||||
\(495\) | −2.91554 | − | 0.609008i | −0.131044 | − | 0.0273729i | ||||
\(496\) | −1.76579 | + | 1.76579i | −0.0792864 | + | 0.0792864i | ||||
\(497\) | 13.2067 | − | 29.1630i | 0.592402 | − | 1.30814i | ||||
\(498\) | 13.5570 | − | 6.06456i | 0.607504 | − | 0.271759i | ||||
\(499\) | −24.9838 | − | 6.69439i | −1.11843 | − | 0.299682i | −0.348181 | − | 0.937427i | \(-0.613201\pi\) |
−0.770247 | + | 0.637745i | \(0.779867\pi\) | |||||||
\(500\) | −8.47965 | + | 2.27211i | −0.379221 | + | 0.101612i | ||||
\(501\) | −34.3483 | + | 27.9148i | −1.53457 | + | 1.24714i | ||||
\(502\) | 6.60513 | − | 24.6507i | 0.294801 | − | 1.10021i | ||||
\(503\) | 23.5158i | 1.04852i | 0.851559 | + | 0.524260i | \(0.175658\pi\) | ||||
−0.851559 | + | 0.524260i | \(0.824342\pi\) | |||||||
\(504\) | 6.40813 | + | 4.68357i | 0.285441 | + | 0.208623i | ||||
\(505\) | −7.78443 | − | 7.78443i | −0.346403 | − | 0.346403i | ||||
\(506\) | −0.326488 | − | 0.565494i | −0.0145142 | − | 0.0251393i | ||||
\(507\) | −18.2652 | + | 13.1674i | −0.811188 | + | 0.584786i | ||||
\(508\) | −10.1050 | + | 17.5024i | −0.448338 | + | 0.776544i | ||||
\(509\) | 9.72802 | − | 36.3055i | 0.431187 | − | 1.60921i | −0.318843 | − | 0.947808i | \(-0.603294\pi\) |
0.750030 | − | 0.661404i | \(-0.230039\pi\) | |||||||
\(510\) | 6.30429 | − | 2.82015i | 0.279159 | − | 0.124878i | ||||
\(511\) | −20.3828 | − | 28.4324i | −0.901681 | − | 1.25778i | ||||
\(512\) | −0.707107 | − | 0.707107i | −0.0312500 | − | 0.0312500i | ||||
\(513\) | −12.0946 | − | 7.76391i | −0.533989 | − | 0.342785i | ||||
\(514\) | −10.4635 | + | 2.80369i | −0.461526 | + | 0.123666i | ||||
\(515\) | −3.64790 | − | 13.6142i | −0.160746 | − | 0.599912i | ||||
\(516\) | −8.81411 | + | 12.1766i | −0.388020 | + | 0.536043i | ||||
\(517\) | − | 3.43644i | − | 0.151134i | ||||||
\(518\) | 1.24547 | − | 7.55288i | 0.0547228 | − | 0.331854i | ||||
\(519\) | 3.56091 | + | 7.96024i | 0.156307 | + | 0.349416i | ||||
\(520\) | 2.20568 | − | 2.70863i | 0.0967253 | − | 0.118781i | ||||
\(521\) | 35.6395 | + | 20.5765i | 1.56139 | + | 0.901472i | 0.997116 | + | 0.0758870i | \(0.0241788\pi\) |
0.564278 | + | 0.825585i | \(0.309155\pi\) | |||||||
\(522\) | −9.32595 | − | 4.71057i | −0.408186 | − | 0.206176i | ||||
\(523\) | 14.4894 | + | 25.0964i | 0.633578 | + | 1.09739i | 0.986814 | + | 0.161855i | \(0.0517478\pi\) |
−0.353236 | + | 0.935534i | \(0.614919\pi\) | |||||||
\(524\) | 4.08121 | 0.178288 | ||||||||
\(525\) | −4.89956 | + | 17.9552i | −0.213834 | + | 0.783630i | ||||
\(526\) | −1.60873 | + | 1.60873i | −0.0701440 | + | 0.0701440i | ||||
\(527\) | 9.92765 | + | 2.66011i | 0.432455 | + | 0.115876i | ||||
\(528\) | 1.37745 | − | 1.11946i | 0.0599460 | − | 0.0487181i | ||||
\(529\) | 11.2970 | − | 19.5670i | 0.491174 | − | 0.850738i | ||||
\(530\) | −3.84413 | − | 6.65823i | −0.166978 | − | 0.289215i | ||||
\(531\) | −0.972353 | − | 17.3836i | −0.0421965 | − | 0.754384i | ||||
\(532\) | −3.01885 | + | 6.66621i | −0.130884 | + | 0.289017i | ||||
\(533\) | 0.101032 | − | 0.225265i | 0.00437620 | − | 0.00975732i | ||||
\(534\) | −6.55540 | + | 9.05618i | −0.283680 | + | 0.391899i | ||||
\(535\) | 2.14798 | + | 8.01636i | 0.0928651 | + | 0.346577i | ||||
\(536\) | −1.45968 | − | 0.842744i | −0.0630484 | − | 0.0364010i | ||||
\(537\) | −2.53633 | + | 3.50389i | −0.109451 | + | 0.151204i | ||||
\(538\) | −11.4612 | + | 11.4612i | −0.494126 | + | 0.494126i | ||||
\(539\) | 5.96611 | + | 3.98306i | 0.256978 | + | 0.171562i | ||||
\(540\) | −4.47328 | + | 2.30905i | −0.192499 | + | 0.0993659i | ||||
\(541\) | −1.85695 | + | 6.93022i | −0.0798364 | + | 0.297953i | −0.994286 | − | 0.106745i | \(-0.965957\pi\) |
0.914450 | + | 0.404699i | \(0.132624\pi\) | |||||||
\(542\) | −28.0943 | − | 16.2202i | −1.20675 | − | 0.696718i | ||||
\(543\) | 0.138514 | − | 1.34055i | 0.00594422 | − | 0.0575284i | ||||
\(544\) | −1.06523 | + | 3.97550i | −0.0456715 | + | 0.170448i | ||||
\(545\) | −0.940998 | −0.0403079 | ||||||||
\(546\) | −5.80811 | − | 15.4682i | −0.248564 | − | 0.661979i | ||||
\(547\) | 3.41524 | 0.146025 | 0.0730126 | − | 0.997331i | \(-0.476739\pi\) | ||||
0.0730126 | + | 0.997331i | \(0.476739\pi\) | |||||||
\(548\) | −4.66924 | + | 17.4258i | −0.199460 | + | 0.744395i | ||||
\(549\) | 1.11328 | + | 3.38576i | 0.0475137 | + | 0.144501i | ||||
\(550\) | 3.60447 | + | 2.08104i | 0.153695 | + | 0.0887358i | ||||
\(551\) | 2.49316 | − | 9.30461i | 0.106212 | − | 0.396390i | ||||
\(552\) | −1.03102 | − | 0.393694i | −0.0438833 | − | 0.0167567i | ||||
\(553\) | 0.0528102 | − | 0.0643750i | 0.00224572 | − | 0.00273751i | ||||
\(554\) | −19.9262 | + | 19.9262i | −0.846585 | + | 0.846585i | ||||
\(555\) | 3.93278 | + | 2.84678i | 0.166937 | + | 0.120839i | ||||
\(556\) | 16.5882 | + | 9.57718i | 0.703495 | + | 0.406163i | ||||
\(557\) | −1.14902 | − | 4.28820i | −0.0486855 | − | 0.181697i | 0.937301 | − | 0.348520i | \(-0.113316\pi\) |
−0.985987 | + | 0.166823i | \(0.946649\pi\) | |||||||
\(558\) | −7.33334 | − | 1.53181i | −0.310445 | − | 0.0648469i | ||||
\(559\) | 29.2435 | − | 11.1340i | 1.23687 | − | 0.470918i | ||||
\(560\) | 1.49343 | + | 2.08322i | 0.0631089 | + | 0.0880321i | ||||
\(561\) | −6.82475 | − | 2.60601i | −0.288141 | − | 0.110026i | ||||
\(562\) | 9.21024 | + | 15.9526i | 0.388511 | + | 0.672920i | ||||
\(563\) | −11.0361 | + | 19.1151i | −0.465116 | + | 0.805605i | −0.999207 | − | 0.0398220i | \(-0.987321\pi\) |
0.534090 | + | 0.845427i | \(0.320654\pi\) | |||||||
\(564\) | −3.66310 | − | 4.50732i | −0.154244 | − | 0.189792i | ||||
\(565\) | −7.61602 | − | 2.04071i | −0.320408 | − | 0.0858531i | ||||
\(566\) | 14.5934 | − | 14.5934i | 0.613408 | − | 0.613408i | ||||
\(567\) | −1.22994 | + | 23.7800i | −0.0516528 | + | 0.998665i | ||||
\(568\) | −12.1002 | −0.507711 | ||||||||
\(569\) | 21.7766 | + | 37.7183i | 0.912925 | + | 1.58123i | 0.809912 | + | 0.586552i | \(0.199515\pi\) |
0.103013 | + | 0.994680i | \(0.467152\pi\) | |||||||
\(570\) | −2.92719 | − | 3.60180i | −0.122606 | − | 0.150863i | ||||
\(571\) | −29.0000 | − | 16.7431i | −1.21361 | − | 0.700678i | −0.250067 | − | 0.968229i | \(-0.580452\pi\) |
−0.963544 | + | 0.267550i | \(0.913786\pi\) | |||||||
\(572\) | −3.67572 | + | 0.376189i | −0.153690 | + | 0.0157293i | ||||
\(573\) | 32.8738 | − | 14.7057i | 1.37332 | − | 0.614338i | ||||
\(574\) | 0.140064 | + | 0.114902i | 0.00584616 | + | 0.00479591i | ||||
\(575\) | − | 2.58786i | − | 0.107921i | ||||||
\(576\) | 0.613411 | − | 2.93662i | 0.0255588 | − | 0.122359i | ||||
\(577\) | 3.61803 | + | 13.5027i | 0.150621 | + | 0.562124i | 0.999441 | + | 0.0334420i | \(0.0106469\pi\) |
−0.848820 | + | 0.528682i | \(0.822686\pi\) | |||||||
\(578\) | −0.0585933 | + | 0.0157000i | −0.00243716 | + | 0.000653035i | ||||
\(579\) | 36.2929 | − | 5.81367i | 1.50828 | − | 0.241608i | ||||
\(580\) | −2.38583 | − | 2.38583i | −0.0990662 | − | 0.0990662i | ||||
\(581\) | 9.35875 | − | 20.6659i | 0.388266 | − | 0.857367i | ||||
\(582\) | −8.64412 | − | 19.3235i | −0.358310 | − | 0.800984i | ||||
\(583\) | −2.10484 | + | 7.85538i | −0.0871736 | + | 0.325336i | ||||
\(584\) | −6.61130 | + | 11.4511i | −0.273578 | + | 0.473850i | ||||
\(585\) | 10.4227 | + | 1.08719i | 0.430927 | + | 0.0449496i | ||||
\(586\) | −15.4833 | − | 26.8179i | −0.639610 | − | 1.10784i | ||||
\(587\) | 16.7060 | + | 16.7060i | 0.689531 | + | 0.689531i | 0.962128 | − | 0.272597i | \(-0.0878826\pi\) |
−0.272597 | + | 0.962128i | \(0.587883\pi\) | |||||||
\(588\) | 12.0711 | − | 1.13534i | 0.497803 | − | 0.0468206i | ||||
\(589\) | − | 6.90705i | − | 0.284600i | ||||||
\(590\) | 1.45523 | − | 5.43099i | 0.0599108 | − | 0.223590i | ||||
\(591\) | 3.10067 | + | 3.81527i | 0.127545 | + | 0.156939i | ||||
\(592\) | −2.79469 | + | 0.748834i | −0.114861 | + | 0.0307769i | ||||
\(593\) | −25.6377 | − | 6.86959i | −1.05281 | − | 0.282100i | −0.309399 | − | 0.950932i | \(-0.600128\pi\) |
−0.743413 | + | 0.668832i | \(0.766795\pi\) | |||||||
\(594\) | 5.07294 | + | 1.61876i | 0.208145 | + | 0.0664185i | ||||
\(595\) | 4.35201 | − | 9.61009i | 0.178415 | − | 0.393975i | ||||
\(596\) | 14.4542 | − | 14.4542i | 0.592067 | − | 0.592067i | ||||
\(597\) | −18.4848 | − | 13.3804i | −0.756533 | − | 0.547623i | ||||
\(598\) | 1.34530 | + | 1.86231i | 0.0550132 | + | 0.0761556i | ||||
\(599\) | 32.0100 | + | 18.4810i | 1.30789 | + | 0.755112i | 0.981744 | − | 0.190206i | \(-0.0609157\pi\) |
0.326148 | + | 0.945319i | \(0.394249\pi\) | |||||||
\(600\) | 6.94601 | − | 1.11266i | 0.283570 | − | 0.0454244i | ||||
\(601\) | 10.4935 | 0.428041 | 0.214020 | − | 0.976829i | \(-0.431344\pi\) | ||||
0.214020 | + | 0.976829i | \(0.431344\pi\) | |||||||
\(602\) | 2.25509 | + | 22.8505i | 0.0919105 | + | 0.931319i | ||||
\(603\) | −0.282392 | − | 5.04857i | −0.0114999 | − | 0.205594i | ||||
\(604\) | 0.159445 | + | 0.0427232i | 0.00648773 | + | 0.00173838i | ||||
\(605\) | −2.49488 | − | 9.31101i | −0.101431 | − | 0.378546i | ||||
\(606\) | 12.4130 | + | 15.2738i | 0.504244 | + | 0.620456i | ||||
\(607\) | 13.3739 | + | 23.1642i | 0.542829 | + | 0.940207i | 0.998740 | + | 0.0501821i | \(0.0159802\pi\) |
−0.455911 | + | 0.890025i | \(0.650686\pi\) | |||||||
\(608\) | 2.76591 | 0.112173 | ||||||||
\(609\) | −15.4347 | + | 4.05986i | −0.625447 | + | 0.164514i | ||||
\(610\) | 1.15098i | 0.0466017i | ||||||||
\(611\) | 1.23097 | + | 12.0277i | 0.0497997 | + | 0.486590i | ||||
\(612\) | −11.7294 | + | 3.85678i | −0.474134 | + | 0.155901i | ||||
\(613\) | −1.55387 | − | 5.79912i | −0.0627602 | − | 0.234224i | 0.927420 | − | 0.374022i | \(-0.122021\pi\) |
−0.990180 | + | 0.139798i | \(0.955355\pi\) | |||||||
\(614\) | −13.9649 | + | 8.06265i | −0.563578 | + | 0.325382i | ||||
\(615\) | −0.104884 | + | 0.0469187i | −0.00422934 | + | 0.00189194i | ||||
\(616\) | 0.441141 | − | 2.67520i | 0.0177741 | − | 0.107787i | ||||
\(617\) | −18.6670 | − | 18.6670i | −0.751503 | − | 0.751503i | 0.223257 | − | 0.974760i | \(-0.428331\pi\) |
−0.974760 | + | 0.223257i | \(0.928331\pi\) | |||||||
\(618\) | 3.98563 | + | 24.8810i | 0.160325 | + | 1.00086i | ||||
\(619\) | 22.2321 | − | 5.95707i | 0.893583 | − | 0.239435i | 0.217324 | − | 0.976099i | \(-0.430267\pi\) |
0.676258 | + | 0.736665i | \(0.263600\pi\) | |||||||
\(620\) | −2.09519 | − | 1.20966i | −0.0841448 | − | 0.0485810i | ||||
\(621\) | −0.705450 | − | 3.23487i | −0.0283087 | − | 0.129811i | ||||
\(622\) | −12.3931 | − | 12.3931i | −0.496917 | − | 0.496917i | ||||
\(623\) | 1.67720 | + | 16.9949i | 0.0671955 | + | 0.680885i | ||||
\(624\) | −4.42017 | + | 4.41159i | −0.176948 | + | 0.176605i | ||||
\(625\) | 5.90105 | + | 10.2209i | 0.236042 | + | 0.408836i | ||||
\(626\) | −4.95532 | + | 1.32777i | −0.198055 | + | 0.0530686i | ||||
\(627\) | −0.504590 | + | 4.88344i | −0.0201514 | + | 0.195026i | ||||
\(628\) | −3.60015 | + | 2.07855i | −0.143662 | + | 0.0829431i | ||||
\(629\) | 8.42020 | + | 8.42020i | 0.335735 | + | 0.335735i | ||||
\(630\) | −2.77606 | + | 7.17110i | −0.110601 | + | 0.285704i | ||||
\(631\) | 1.85070 | + | 1.85070i | 0.0736750 | + | 0.0736750i | 0.742984 | − | 0.669309i | \(-0.233410\pi\) |
−0.669309 | + | 0.742984i | \(0.733410\pi\) | |||||||
\(632\) | −0.0303989 | − | 0.00814535i | −0.00120920 | − | 0.000324005i | ||||
\(633\) | 24.2065 | + | 2.50118i | 0.962122 | + | 0.0994128i | ||||
\(634\) | −23.3110 | − | 13.4586i | −0.925797 | − | 0.534509i | ||||
\(635\) | −18.9125 | − | 5.06760i | −0.750521 | − | 0.201101i | ||||
\(636\) | 5.61274 | + | 12.5470i | 0.222560 | + | 0.497521i | ||||
\(637\) | −22.3085 | − | 11.8038i | −0.883896 | − | 0.467684i | ||||
\(638\) | 3.56903i | 0.141299i | ||||||||
\(639\) | −19.8776 | − | 30.3744i | −0.786345 | − | 1.20159i | ||||
\(640\) | 0.484404 | − | 0.839013i | 0.0191478 | − | 0.0331649i | ||||
\(641\) | 16.8365 | − | 29.1616i | 0.665001 | − | 1.15181i | −0.314285 | − | 0.949329i | \(-0.601765\pi\) |
0.979285 | − | 0.202486i | \(-0.0649021\pi\) | |||||||
\(642\) | −2.34684 | − | 14.6506i | −0.0926222 | − | 0.578211i | ||||
\(643\) | −2.15687 | + | 2.15687i | −0.0850587 | + | 0.0850587i | −0.748356 | − | 0.663297i | \(-0.769157\pi\) |
0.663297 | + | 0.748356i | \(0.269157\pi\) | |||||||
\(644\) | −1.57766 | + | 0.594141i | −0.0621685 | + | 0.0234124i | ||||
\(645\) | −13.6049 | − | 5.19500i | −0.535692 | − | 0.204553i | ||||
\(646\) | −5.69189 | − | 9.85864i | −0.223944 | − | 0.387883i | ||||
\(647\) | −20.9209 | + | 36.2361i | −0.822487 | + | 1.42459i | 0.0813383 | + | 0.996687i | \(0.474081\pi\) |
−0.903825 | + | 0.427902i | \(0.859253\pi\) | |||||||
\(648\) | 8.37933 | − | 3.28433i | 0.329171 | − | 0.129021i | ||||
\(649\) | −5.15064 | + | 2.97372i | −0.202180 | + | 0.116729i | ||||
\(650\) | −13.3613 | − | 5.99260i | −0.524073 | − | 0.235049i | ||||
\(651\) | −9.93665 | + | 5.67626i | −0.389448 | + | 0.222470i | ||||
\(652\) | −7.21523 | + | 7.21523i | −0.282570 | + | 0.282570i | ||||
\(653\) | −11.1683 | + | 6.44801i | −0.437049 | + | 0.252330i | −0.702345 | − | 0.711837i | \(-0.747864\pi\) |
0.265296 | + | 0.964167i | \(0.414530\pi\) | |||||||
\(654\) | 1.67342 | + | 0.172909i | 0.0654359 | + | 0.00676128i | ||||
\(655\) | 1.02335 | + | 3.81919i | 0.0399855 | + | 0.149228i | ||||
\(656\) | 0.0177222 | − | 0.0661403i | 0.000691937 | − | 0.00258234i | ||||
\(657\) | −39.6059 | + | 2.21536i | −1.54517 | + | 0.0864293i | ||||
\(658\) | −8.75383 | − | 1.44351i | −0.341260 | − | 0.0562738i | ||||
\(659\) | − | 39.5546i | − | 1.54083i | −0.637543 | − | 0.770415i | \(-0.720049\pi\) | ||
0.637543 | − | 0.770415i | \(-0.279951\pi\) | |||||||
\(660\) | 1.39298 | + | 1.00832i | 0.0542215 | + | 0.0392488i | ||||
\(661\) | 41.4429 | − | 11.1046i | 1.61194 | − | 0.431919i | 0.663323 | − | 0.748333i | \(-0.269146\pi\) |
0.948621 | + | 0.316414i | \(0.102479\pi\) | |||||||
\(662\) | 2.69901 | − | 4.67483i | 0.104900 | − | 0.181692i | ||||
\(663\) | 24.8205 | + | 6.67651i | 0.963949 | + | 0.259294i | ||||
\(664\) | −8.57460 | −0.332759 | ||||||||
\(665\) | −6.99519 | − | 1.15351i | −0.271262 | − | 0.0447311i | ||||
\(666\) | −6.47074 | − | 5.78521i | −0.250736 | − | 0.224172i | ||||
\(667\) | 1.92181 | − | 1.10956i | 0.0744129 | − | 0.0429623i | ||||
\(668\) | 24.6834 | − | 6.61390i | 0.955030 | − | 0.255899i | ||||
\(669\) | 6.08588 | − | 4.94599i | 0.235294 | − | 0.191223i | ||||
\(670\) | 0.422630 | − | 1.57728i | 0.0163276 | − | 0.0609355i | ||||
\(671\) | 0.860888 | − | 0.860888i | 0.0332342 | − | 0.0332342i | ||||
\(672\) | −2.27304 | − | 3.97911i | −0.0876845 | − | 0.153497i | ||||
\(673\) | 17.9661i | 0.692541i | 0.938135 | + | 0.346271i | \(0.112552\pi\) | ||||
−0.938135 | + | 0.346271i | \(0.887448\pi\) | |||||||
\(674\) | −23.8231 | − | 6.38338i | −0.917631 | − | 0.245878i | ||||
\(675\) | 14.2037 | + | 15.6084i | 0.546700 | + | 0.600767i | ||||
\(676\) | 12.7305 | − | 2.63337i | 0.489634 | − | 0.101283i | ||||
\(677\) | −4.04856 | + | 2.33744i | −0.155599 | + | 0.0898350i | −0.575778 | − | 0.817606i | \(-0.695301\pi\) |
0.420179 | + | 0.907441i | \(0.361967\pi\) | |||||||
\(678\) | 13.1689 | + | 5.02853i | 0.505750 | + | 0.193119i | ||||
\(679\) | −29.4562 | − | 13.3395i | −1.13042 | − | 0.511923i | ||||
\(680\) | −3.98737 | −0.152909 | ||||||||
\(681\) | −37.9518 | + | 6.07940i | −1.45431 | + | 0.232963i | ||||
\(682\) | 0.662345 | + | 2.47190i | 0.0253625 | + | 0.0946541i | ||||
\(683\) | −13.2214 | − | 49.3429i | −0.505902 | − | 1.88805i | −0.457466 | − | 0.889227i | \(-0.651243\pi\) |
−0.0484369 | − | 0.998826i | \(-0.515424\pi\) | |||||||
\(684\) | 4.54372 | + | 6.94313i | 0.173733 | + | 0.265477i | ||||
\(685\) | −17.4779 | −0.667795 | ||||||||
\(686\) | 12.6524 | − | 13.5247i | 0.483070 | − | 0.516375i | ||||
\(687\) | −0.131874 | + | 0.345358i | −0.00503131 | + | 0.0131762i | ||||
\(688\) | 7.51593 | − | 4.33933i | 0.286542 | − | 0.165435i | ||||
\(689\) | 4.55319 | − | 28.2483i | 0.173463 | − | 1.07617i | ||||
\(690\) | 0.109893 | − | 1.06355i | 0.00418355 | − | 0.0404886i | ||||
\(691\) | 12.5372 | + | 3.35934i | 0.476938 | + | 0.127795i | 0.489277 | − | 0.872129i | \(-0.337261\pi\) |
−0.0123385 | + | 0.999924i | \(0.503928\pi\) | |||||||
\(692\) | − | 5.03473i | − | 0.191392i | ||||||
\(693\) | 7.44011 | − | 3.28733i | 0.282627 | − | 0.124875i | ||||
\(694\) | 18.3677 | − | 18.3677i | 0.697230 | − | 0.697230i | ||||
\(695\) | −4.80288 | + | 17.9246i | −0.182184 | + | 0.679919i | ||||
\(696\) | 3.80443 | + | 4.68123i | 0.144207 | + | 0.177442i | ||||
\(697\) | −0.272216 | + | 0.0729402i | −0.0103109 | + | 0.00276281i | ||||
\(698\) | −24.6052 | + | 14.2058i | −0.931322 | + | 0.537699i | ||||
\(699\) | 4.19555 | + | 9.37895i | 0.158690 | + | 0.354744i | ||||
\(700\) | 6.81524 | − | 8.30770i | 0.257592 | − | 0.314001i | ||||
\(701\) | −34.1302 | −1.28908 | −0.644541 | − | 0.764570i | \(-0.722951\pi\) | ||||
−0.644541 | + | 0.764570i | \(0.722951\pi\) | |||||||
\(702\) | −18.3354 | − | 3.84857i | −0.692027 | − | 0.145255i | ||||
\(703\) | 4.00127 | − | 6.93040i | 0.150911 | − | 0.261385i | ||||
\(704\) | −0.989868 | + | 0.265234i | −0.0373071 | + | 0.00999639i | ||||
\(705\) | 3.29943 | − | 4.55811i | 0.124264 | − | 0.171668i | ||||
\(706\) | − | 13.1830i | − | 0.496149i | ||||||
\(707\) | 29.6638 | + | 4.89156i | 1.11562 | + | 0.183966i | ||||
\(708\) | −3.58585 | + | 9.39078i | −0.134764 | + | 0.352927i | ||||
\(709\) | −6.98166 | + | 26.0559i | −0.262202 | + | 0.978550i | 0.701739 | + | 0.712434i | \(0.252407\pi\) |
−0.963941 | + | 0.266116i | \(0.914259\pi\) | |||||||
\(710\) | −3.03407 | − | 11.3233i | −0.113867 | − | 0.424956i | ||||
\(711\) | −0.0294910 | − | 0.0896896i | −0.00110600 | − | 0.00336362i | ||||
\(712\) | 5.58990 | − | 3.22733i | 0.209490 | − | 0.120949i | ||||
\(713\) | 1.12513 | − | 1.12513i | 0.0421365 | − | 0.0421365i | ||||
\(714\) | −9.50525 | + | 16.2904i | −0.355725 | + | 0.609652i | ||||
\(715\) | −1.27371 | − | 3.34540i | −0.0476341 | − | 0.125111i | ||||
\(716\) | 2.16277 | − | 1.24867i | 0.0808263 | − | 0.0466651i | ||||
\(717\) | 25.1158 | + | 30.9042i | 0.937968 | + | 1.15414i | ||||
\(718\) | 4.58974 | − | 7.94967i | 0.171288 | − | 0.296679i | ||||
\(719\) | 0.115201 | + | 0.199534i | 0.00429627 | + | 0.00744135i | 0.868166 | − | 0.496275i | \(-0.165299\pi\) |
−0.863869 | + | 0.503716i | \(0.831966\pi\) | |||||||
\(720\) | 2.90189 | − | 0.162317i | 0.108147 | − | 0.00604921i | ||||
\(721\) | 29.7586 | + | 24.4126i | 1.10827 | + | 0.909171i | ||||
\(722\) | 8.02547 | − | 8.02547i | 0.298677 | − | 0.298677i | ||||
\(723\) | 6.77712 | − | 1.08561i | 0.252044 | − | 0.0403743i | ||||
\(724\) | −0.389043 | + | 0.673842i | −0.0144587 | + | 0.0250432i | ||||
\(725\) | −7.07234 | + | 12.2496i | −0.262660 | + | 0.454940i | ||||
\(726\) | 2.72585 | + | 17.0166i | 0.101166 | + | 0.631547i | ||||
\(727\) | − | 19.6490i | − | 0.728740i | −0.931254 | − | 0.364370i | \(-0.881284\pi\) | ||
0.931254 | − | 0.364370i | \(-0.118716\pi\) | |||||||
\(728\) | −0.585733 | + | 9.52139i | −0.0217087 | + | 0.352886i | ||||
\(729\) | 22.0097 | + | 15.6389i | 0.815173 | + | 0.579217i | ||||
\(730\) | −12.3737 | − | 3.31552i | −0.457970 | − | 0.122713i | ||||
\(731\) | −30.9336 | − | 17.8595i | −1.14412 | − | 0.660559i | ||||
\(732\) | 0.211493 | − | 2.04683i | 0.00781699 | − | 0.0756532i | ||||
\(733\) | 9.84548 | + | 2.63809i | 0.363651 | + | 0.0974401i | 0.436018 | − | 0.899938i | \(-0.356388\pi\) |
−0.0723665 | + | 0.997378i | \(0.523055\pi\) | |||||||
\(734\) | −10.5572 | − | 10.5572i | −0.389674 | − | 0.389674i | ||||
\(735\) | 4.08923 | + | 11.0114i | 0.150833 | + | 0.406162i | ||||
\(736\) | 0.450556 | + | 0.450556i | 0.0166077 | + | 0.0166077i | ||||
\(737\) | −1.49586 | + | 0.863633i | −0.0551006 | + | 0.0318123i | ||||
\(738\) | 0.195142 | − | 0.0641651i | 0.00718328 | − | 0.00236195i | ||||
\(739\) | 26.1139 | − | 6.99720i | 0.960616 | − | 0.257396i | 0.255755 | − | 0.966742i | \(-0.417676\pi\) |
0.704861 | + | 0.709345i | \(0.251009\pi\) | |||||||
\(740\) | −1.40151 | − | 2.42749i | −0.0515207 | − | 0.0892364i | ||||
\(741\) | 0.0167901 | − | 17.2731i | 0.000616801 | − | 0.634543i | ||||
\(742\) | 19.1263 | + | 8.66151i | 0.702148 | + | 0.317974i | ||||
\(743\) | 19.6477 | + | 19.6477i | 0.720804 | + | 0.720804i | 0.968769 | − | 0.247965i | \(-0.0797618\pi\) |
−0.247965 | + | 0.968769i | \(0.579762\pi\) | |||||||
\(744\) | 3.50370 | + | 2.53618i | 0.128452 | + | 0.0929810i | ||||
\(745\) | 17.1505 | + | 9.90187i | 0.628347 | + | 0.362776i | ||||
\(746\) | 20.8820 | − | 5.59532i | 0.764545 | − | 0.204859i | ||||
\(747\) | −14.0860 | − | 21.5244i | −0.515379 | − | 0.787537i | ||||
\(748\) | 2.98241 | + | 2.98241i | 0.109048 | + | 0.109048i | ||||
\(749\) | −17.5226 | − | 14.3747i | −0.640263 | − | 0.525241i | ||||
\(750\) | 6.20896 | + | 13.8798i | 0.226719 | + | 0.506819i | ||||
\(751\) | −29.8497 | + | 17.2337i | −1.08923 | + | 0.628867i | −0.933371 | − | 0.358912i | \(-0.883148\pi\) |
−0.155859 | + | 0.987779i | \(0.549815\pi\) | |||||||
\(752\) | 0.867903 | + | 3.23906i | 0.0316492 | + | 0.118116i | ||||
\(753\) | −43.9683 | − | 4.54310i | −1.60229 | − | 0.165560i | ||||
\(754\) | −1.27847 | − | 12.4918i | −0.0465590 | − | 0.454925i | ||||
\(755\) | 0.159921i | 0.00582012i | ||||||||
\(756\) | 6.25449 | − | 12.2426i | 0.227474 | − | 0.445259i | ||||
\(757\) | 17.4476 | 0.634144 | 0.317072 | − | 0.948401i | \(-0.397300\pi\) | ||||
0.317072 | + | 0.948401i | \(0.397300\pi\) | |||||||
\(758\) | 10.2276 | + | 17.7147i | 0.371483 | + | 0.643428i | ||||
\(759\) | −0.877690 | + | 0.713299i | −0.0318581 | + | 0.0258911i | ||||
\(760\) | 0.693542 | + | 2.58833i | 0.0251574 | + | 0.0938887i | ||||
\(761\) | −47.8027 | − | 12.8087i | −1.73284 | − | 0.464314i | −0.752009 | − | 0.659152i | \(-0.770915\pi\) |
−0.980835 | + | 0.194838i | \(0.937582\pi\) | |||||||
\(762\) | 32.7018 | + | 12.4871i | 1.18466 | + | 0.452361i | ||||
\(763\) | 2.08856 | − | 1.49726i | 0.0756111 | − | 0.0542045i | ||||
\(764\) | −20.7922 | −0.752234 | ||||||||
\(765\) | −6.55027 | − | 10.0093i | −0.236826 | − | 0.361887i | ||||
\(766\) | 24.9262 | + | 14.3912i | 0.900621 | + | 0.519974i | ||||
\(767\) | 16.9623 | − | 12.2532i | 0.612474 | − | 0.442438i | ||||
\(768\) | −1.01561 | + | 1.40305i | −0.0366476 | + | 0.0506281i | ||||
\(769\) | 16.7245 | − | 16.7245i | 0.603100 | − | 0.603100i | −0.338034 | − | 0.941134i | \(-0.609762\pi\) |
0.941134 | + | 0.338034i | \(0.109762\pi\) | |||||||
\(770\) | 2.61406 | − | 0.257978i | 0.0942043 | − | 0.00929688i | ||||
\(771\) | 7.66160 | + | 17.1271i | 0.275926 | + | 0.616818i | ||||
\(772\) | −20.4978 | − | 5.49236i | −0.737731 | − | 0.197674i | ||||
\(773\) | 9.89355 | − | 2.65097i | 0.355846 | − | 0.0953487i | −0.0764673 | − | 0.997072i | \(-0.524364\pi\) |
0.432313 | + | 0.901723i | \(0.357697\pi\) | |||||||
\(774\) | 23.2396 | + | 11.7384i | 0.835331 | + | 0.421929i | ||||
\(775\) | −2.62499 | + | 9.79659i | −0.0942924 | + | 0.351904i | ||||
\(776\) | 12.2218i | 0.438737i | ||||||||
\(777\) | −13.2585 | − | 0.0608742i | −0.475646 | − | 0.00218385i | ||||
\(778\) | 4.10709 | + | 4.10709i | 0.147246 | + | 0.147246i | ||||
\(779\) | 0.0946958 | + | 0.164018i | 0.00339283 | + | 0.00587655i | ||||
\(780\) | −5.23669 | − | 3.03020i | −0.187504 | − | 0.108498i | ||||
\(781\) | −6.20004 | + | 10.7388i | −0.221855 | + | 0.384264i | ||||
\(782\) | 0.678748 | − | 2.53312i | 0.0242720 | − | 0.0905843i | ||||
\(783\) | −5.50130 | + | 17.2402i | −0.196600 | + | 0.616114i | ||||
\(784\) | −6.62939 | − | 2.24749i | −0.236764 | − | 0.0802674i | ||||
\(785\) | −2.84783 | − | 2.84783i | −0.101643 | − | 0.101643i | ||||
\(786\) | −1.11809 | − | 6.97988i | −0.0398809 | − | 0.248964i | ||||
\(787\) | 30.7983 | − | 8.25238i | 1.09784 | − | 0.294166i | 0.335956 | − | 0.941878i | \(-0.390941\pi\) |
0.761885 | + | 0.647712i | \(0.224274\pi\) | |||||||
\(788\) | −0.734646 | − | 2.74174i | −0.0261707 | − | 0.0976704i | ||||
\(789\) | 3.19206 | + | 2.31060i | 0.113640 | + | 0.0822596i | ||||
\(790\) | − | 0.0304896i | − | 0.00108477i | ||||||
\(791\) | 20.1509 | − | 7.58877i | 0.716485 | − | 0.269825i | ||||
\(792\) | −2.29192 | − | 2.04910i | −0.0814397 | − | 0.0728116i | ||||
\(793\) | −2.70478 | + | 3.32154i | −0.0960496 | + | 0.117951i | ||||
\(794\) | 18.4565 | + | 10.6558i | 0.654995 | + | 0.378162i | ||||
\(795\) | −10.3341 | + | 8.39850i | −0.366512 | + | 0.297864i | ||||
\(796\) | 6.58738 | + | 11.4097i | 0.233484 | + | 0.404406i | ||||
\(797\) | −49.1361 | −1.74049 | −0.870245 | − | 0.492620i | \(-0.836039\pi\) | ||||
−0.870245 | + | 0.492620i | \(0.836039\pi\) | |||||||
\(798\) | 12.2279 | + | 3.33671i | 0.432864 | + | 0.118118i | ||||
\(799\) | 9.75906 | − | 9.75906i | 0.345251 | − | 0.345251i | ||||
\(800\) | −3.92302 | − | 1.05117i | −0.138700 | − | 0.0371645i | ||||
\(801\) | 17.2842 | + | 8.73033i | 0.610708 | + | 0.308471i | ||||
\(802\) | 2.94078 | − | 5.09359i | 0.103843 | − | 0.179861i | ||||
\(803\) | 6.77517 | + | 11.7349i | 0.239091 | + | 0.414117i | ||||
\(804\) | −1.04141 | + | 2.72729i | −0.0367276 | + | 0.0961839i | ||||
\(805\) | −0.951588 | − | 1.32739i | −0.0335391 | − | 0.0467844i | ||||
\(806\) | −3.20371 | − | 8.41456i | −0.112846 | − | 0.296390i | ||||
\(807\) | 22.7413 | + | 16.4615i | 0.800533 | + | 0.579473i | ||||
\(808\) | −2.94103 | − | 10.9761i | −0.103465 | − | 0.386137i | ||||
\(809\) | −18.2677 | − | 10.5468i | −0.642257 | − | 0.370807i | 0.143226 | − | 0.989690i | \(-0.454252\pi\) |
−0.785483 | + | 0.618883i | \(0.787586\pi\) | |||||||
\(810\) | 5.17455 | + | 7.01782i | 0.181815 | + | 0.246581i | ||||
\(811\) | 1.50378 | − | 1.50378i | 0.0528049 | − | 0.0528049i | −0.680211 | − | 0.733016i | \(-0.738112\pi\) |
0.733016 | + | 0.680211i | \(0.238112\pi\) | |||||||
\(812\) | 9.09158 | + | 1.49920i | 0.319052 | + | 0.0526117i | ||||
\(813\) | −20.0439 | + | 52.4918i | −0.702970 | + | 1.84097i | ||||
\(814\) | −0.767395 | + | 2.86396i | −0.0268972 | + | 0.100382i | ||||
\(815\) | −8.56119 | − | 4.94281i | −0.299885 | − | 0.173139i | ||||
\(816\) | 7.09092 | + | 0.732681i | 0.248232 | + | 0.0256490i | ||||
\(817\) | −6.21279 | + | 23.1865i | −0.217358 | + | 0.811191i | ||||
\(818\) | 0.362271 | 0.0126665 | ||||||||
\(819\) | −24.8633 | + | 14.1710i | −0.868794 | + | 0.495174i | ||||
\(820\) | 0.0663377 | 0.00231661 | ||||||||
\(821\) | 9.50486 | − | 35.4726i | 0.331722 | − | 1.23800i | −0.575658 | − | 0.817691i | \(-0.695254\pi\) |
0.907380 | − | 0.420312i | \(-0.138079\pi\) | |||||||
\(822\) | 31.0817 | + | 3.21157i | 1.08410 | + | 0.112016i | ||||
\(823\) | 35.4546 | + | 20.4697i | 1.23587 | + | 0.713530i | 0.968248 | − | 0.249993i | \(-0.0804284\pi\) |
0.267623 | + | 0.963524i | \(0.413762\pi\) | |||||||
\(824\) | 3.76535 | − | 14.0525i | 0.131172 | − | 0.489541i | ||||
\(825\) | 2.57161 | − | 6.73465i | 0.0895320 | − | 0.234470i | ||||
\(826\) | 5.41156 | + | 14.3697i | 0.188292 | + | 0.499984i | ||||
\(827\) | −4.37880 | + | 4.37880i | −0.152266 | + | 0.152266i | −0.779129 | − | 0.626863i | \(-0.784338\pi\) |
0.626863 | + | 0.779129i | \(0.284338\pi\) | |||||||
\(828\) | −0.390855 | + | 1.87116i | −0.0135832 | + | 0.0650274i | ||||
\(829\) | 1.09178 | + | 0.630338i | 0.0379190 | + | 0.0218925i | 0.518840 | − | 0.854872i | \(-0.326364\pi\) |
−0.480921 | + | 0.876764i | \(0.659697\pi\) | |||||||
\(830\) | −2.15005 | − | 8.02409i | −0.0746293 | − | 0.278520i | ||||
\(831\) | 39.5378 | + | 28.6198i | 1.37155 | + | 0.992810i | ||||
\(832\) | 3.36959 | − | 1.28292i | 0.116819 | − | 0.0444772i | ||||
\(833\) | 5.63162 | + | 28.2544i | 0.195124 | + | 0.978958i | ||||
\(834\) | 11.8349 | − | 30.9936i | 0.409807 | − | 1.07322i | ||||
\(835\) | 12.3785 | + | 21.4403i | 0.428377 | + | 0.741971i | ||||
\(836\) | 1.41723 | − | 2.45472i | 0.0490161 | − | 0.0848983i | ||||
\(837\) | −0.610736 | + | 12.9615i | −0.0211101 | + | 0.448015i | ||||
\(838\) | −4.05066 | − | 1.08537i | −0.139928 | − | 0.0374935i | ||||
\(839\) | 30.2143 | − | 30.2143i | 1.04311 | − | 1.04311i | 0.0440850 | − | 0.999028i | \(-0.485963\pi\) |
0.999028 | − | 0.0440850i | \(-0.0140372\pi\) | |||||||
\(840\) | 3.15368 | − | 3.12485i | 0.108812 | − | 0.107818i | ||||
\(841\) | 16.8708 | 0.581751 | ||||||||
\(842\) | −0.949582 | − | 1.64472i | −0.0327248 | − | 0.0566810i | ||||
\(843\) | 24.7597 | − | 20.1222i | 0.852768 | − | 0.693045i | ||||
\(844\) | −12.1677 | − | 7.02502i | −0.418829 | − | 0.241811i | ||||
\(845\) | 5.65642 | + | 11.2529i | 0.194587 | + | 0.387110i | ||||
\(846\) | −6.70509 | + | 7.49963i | −0.230526 | + | 0.257843i | ||||
\(847\) | 20.3526 | + | 16.6963i | 0.699322 | + | 0.573690i | ||||
\(848\) | − | 7.93578i | − | 0.272516i | ||||||
\(849\) | −28.9564 | − | 20.9604i | −0.993781 | − | 0.719358i | ||||
\(850\) | 4.32635 | + | 16.1461i | 0.148392 | + | 0.553808i | ||||
\(851\) | 1.78073 | − | 0.477144i | 0.0610425 | − | 0.0163563i | ||||
\(852\) | 3.31496 | + | 20.6943i | 0.113569 | + | 0.708973i | ||||
\(853\) | 12.0364 | + | 12.0364i | 0.412120 | + | 0.412120i | 0.882476 | − | 0.470356i | \(-0.155875\pi\) |
−0.470356 | + | 0.882476i | \(0.655875\pi\) | |||||||
\(854\) | −1.83136 | − | 2.55461i | −0.0626680 | − | 0.0874171i | ||||
\(855\) | −5.35804 | + | 5.99296i | −0.183241 | + | 0.204955i | ||||
\(856\) | −2.21713 | + | 8.27445i | −0.0757800 | + | 0.282815i | ||||
\(857\) | 3.54715 | − | 6.14385i | 0.121168 | − | 0.209870i | −0.799060 | − | 0.601251i | \(-0.794669\pi\) |
0.920229 | + | 0.391381i | \(0.128003\pi\) | |||||||
\(858\) | 1.65038 | + | 6.18333i | 0.0563430 | + | 0.211095i | ||||
\(859\) | −19.5791 | − | 33.9120i | −0.668030 | − | 1.15706i | −0.978454 | − | 0.206464i | \(-0.933804\pi\) |
0.310424 | − | 0.950598i | \(-0.399529\pi\) | |||||||
\(860\) | 5.94532 | + | 5.94532i | 0.202734 | + | 0.202734i | ||||
\(861\) | 0.158138 | − | 0.271022i | 0.00538934 | − | 0.00923642i | ||||
\(862\) | 32.5955i | 1.11021i | ||||||||
\(863\) | 3.31443 | − | 12.3696i | 0.112824 | − | 0.421067i | −0.886290 | − | 0.463130i | \(-0.846726\pi\) |
0.999115 | + | 0.0420631i | \(0.0133931\pi\) | |||||||
\(864\) | −5.19039 | − | 0.244568i | −0.176581 | − | 0.00832036i | ||||
\(865\) | 4.71149 | − | 1.26244i | 0.160195 | − | 0.0429242i | ||||
\(866\) | 21.1632 | + | 5.67067i | 0.719155 | + | 0.192697i | ||||
\(867\) | 0.0429032 | + | 0.0959079i | 0.00145707 | + | 0.00325720i | ||||
\(868\) | 6.57505 | − | 0.648882i | 0.223172 | − | 0.0220245i | ||||
\(869\) | −0.0228051 | + | 0.0228051i | −0.000773610 | + | 0.000773610i | ||||
\(870\) | −3.42674 | + | 4.73398i | −0.116177 | + | 0.160497i | ||||
\(871\) | 4.92623 | − | 3.55860i | 0.166919 | − | 0.120579i | ||||
\(872\) | −0.841165 | − | 0.485647i | −0.0284855 | − | 0.0164461i | ||||
\(873\) | −30.6798 | + | 20.0774i | −1.03835 | + | 0.679519i | ||||
\(874\) | −1.76239 | −0.0596138 | ||||||||
\(875\) | 21.1580 | + | 9.58159i | 0.715271 | + | 0.323917i | ||||
\(876\) | 21.3955 | + | 8.16981i | 0.722886 | + | 0.276032i | ||||
\(877\) | −16.4221 | − | 4.40030i | −0.554536 | − | 0.148588i | −0.0293413 | − | 0.999569i | \(-0.509341\pi\) |
−0.525195 | + | 0.850982i | \(0.676008\pi\) | |||||||
\(878\) | 1.75402 | + | 6.54609i | 0.0591953 | + | 0.220920i | ||||
\(879\) | −41.6234 | + | 33.8274i | −1.40392 | + | 1.14097i | ||||
\(880\) | −0.496411 | − | 0.859810i | −0.0167340 | − | 0.0289842i | ||||
\(881\) | −31.1168 | −1.04835 | −0.524175 | − | 0.851610i | \(-0.675626\pi\) | ||||
−0.524175 | + | 0.851610i | \(0.675626\pi\) | |||||||
\(882\) | −5.24871 | − | 20.3335i | −0.176733 | − | 0.684664i | ||||
\(883\) | 36.5043i | 1.22847i | 0.789124 | + | 0.614234i | \(0.210535\pi\) | ||||
−0.789124 | + | 0.614234i | \(0.789465\pi\) | |||||||
\(884\) | −11.5069 | − | 9.37027i | −0.387020 | − | 0.315156i | ||||
\(885\) | −9.68701 | − | 1.00093i | −0.325625 | − | 0.0336458i | ||||
\(886\) | 9.06727 | + | 33.8395i | 0.304621 | + | 1.13686i | ||||
\(887\) | −29.2300 | + | 16.8760i | −0.981449 | + | 0.566640i | −0.902707 | − | 0.430255i | \(-0.858424\pi\) |
−0.0787416 | + | 0.996895i | \(0.525090\pi\) | |||||||
\(888\) | 2.04632 | + | 4.57445i | 0.0686701 | + | 0.153509i | ||||
\(889\) | 50.0400 | − | 18.8449i | 1.67829 | − | 0.632036i | ||||
\(890\) | 4.42177 | + | 4.42177i | 0.148218 | + | 0.148218i | ||||
\(891\) | 1.37870 | − | 9.11945i | 0.0461881 | − | 0.305513i | ||||
\(892\) | −4.37344 | + | 1.17186i | −0.146434 | + | 0.0392368i | ||||
\(893\) | −8.03237 | − | 4.63749i | −0.268793 | − | 0.155188i | ||||
\(894\) | −28.6801 | − | 20.7604i | −0.959207 | − | 0.694331i | ||||
\(895\) | 1.71081 | + | 1.71081i | 0.0571861 | + | 0.0571861i | ||||
\(896\) | 0.259843 | + | 2.63296i | 0.00868074 | + | 0.0879610i | ||||
\(897\) | 2.81646 | − | 2.81099i | 0.0940388 | − | 0.0938562i | ||||
\(898\) | −1.51427 | − | 2.62280i | −0.0505320 | − | 0.0875240i | ||||
\(899\) | −8.40068 | + | 2.25096i | −0.280178 | + | 0.0750736i | ||||
\(900\) | −3.80586 | − | 11.5746i | −0.126862 | − | 0.385819i | ||||
\(901\) | −28.2858 | + | 16.3308i | −0.942337 | + | 0.544059i | ||||
\(902\) | −0.0496182 | − | 0.0496182i | −0.00165210 | − | 0.00165210i | ||||
\(903\) | 38.4623 | − | 10.1169i | 1.27994 | − | 0.336669i | ||||
\(904\) | −5.75481 | − | 5.75481i | −0.191402 | − | 0.191402i | ||||
\(905\) | −0.728131 | − | 0.195102i | −0.0242039 | − | 0.00648542i | ||||
\(906\) | 0.0293856 | − | 0.284395i | 0.000976270 | − | 0.00944839i | ||||
\(907\) | −7.54896 | − | 4.35840i | −0.250659 | − | 0.144718i | 0.369407 | − | 0.929268i | \(-0.379561\pi\) |
−0.620066 | + | 0.784550i | \(0.712894\pi\) | |||||||
\(908\) | 21.4347 | + | 5.74340i | 0.711334 | + | 0.190601i | ||||
\(909\) | 22.7213 | − | 25.4137i | 0.753618 | − | 0.842921i | ||||
\(910\) | −9.05697 | + | 1.83933i | −0.300236 | + | 0.0609730i | ||||
\(911\) | 1.75437i | 0.0581250i | 0.999578 | + | 0.0290625i | \(0.00925219\pi\) | ||||
−0.999578 | + | 0.0290625i | \(0.990748\pi\) | |||||||
\(912\) | −0.757750 | − | 4.73039i | −0.0250916 | − | 0.156639i | ||||
\(913\) | −4.39357 | + | 7.60989i | −0.145406 | + | 0.251850i | ||||
\(914\) | −15.8663 | + | 27.4813i | −0.524812 | + | 0.909001i | ||||
\(915\) | 1.96845 | − | 0.315322i | 0.0650751 | − | 0.0104242i | ||||
\(916\) | 0.150921 | − | 0.150921i | 0.00498657 | − | 0.00498657i | ||||
\(917\) | −8.34820 | − | 6.84846i | −0.275682 | − | 0.226156i | ||||
\(918\) | 9.80944 | + | 19.0036i | 0.323760 | + | 0.627212i | ||||
\(919\) | 18.9448 | + | 32.8134i | 0.624932 | + | 1.08241i | 0.988554 | + | 0.150868i | \(0.0482068\pi\) |
−0.363621 | + | 0.931547i | \(0.618460\pi\) | |||||||
\(920\) | −0.308654 | + | 0.534605i | −0.0101760 | + | 0.0176254i | ||||
\(921\) | 17.6150 | + | 21.6746i | 0.580433 | + | 0.714203i | ||||
\(922\) | 13.7205 | − | 7.92154i | 0.451861 | − | 0.260882i | ||||
\(923\) | 17.8538 | − | 39.8073i | 0.587663 | − | 1.31027i | ||||
\(924\) | −4.69611 | − | 0.0215614i | −0.154491 | − | 0.000709319i | ||||
\(925\) | −8.30904 | + | 8.30904i | −0.273200 | + | 0.273200i | ||||
\(926\) | 21.4591 | − | 12.3894i | 0.705191 | − | 0.407142i | ||||
\(927\) | 41.4608 | − | 13.6328i | 1.36175 | − | 0.447760i | ||||
\(928\) | −0.901389 | − | 3.36403i | −0.0295896 | − | 0.110430i | ||||
\(929\) | −2.90941 | + | 10.8581i | −0.0954547 | + | 0.356242i | −0.997088 | − | 0.0762595i | \(-0.975702\pi\) |
0.901633 | + | 0.432501i | \(0.142369\pi\) | |||||||
\(930\) | −1.49482 | + | 3.91469i | −0.0490169 | + | 0.128368i | ||||
\(931\) | 17.3613 | − | 8.57010i | 0.568995 | − | 0.280874i | ||||
\(932\) | − | 5.93204i | − | 0.194310i | ||||||
\(933\) | −17.8000 | + | 24.5904i | −0.582746 | + | 0.805055i | ||||
\(934\) | −33.4767 | + | 8.97005i | −1.09539 | + | 0.293509i | ||||
\(935\) | −2.04310 | + | 3.53875i | −0.0668166 | + | 0.115730i | ||||
\(936\) | 8.75585 | + | 6.35099i | 0.286194 | + | 0.207588i | ||||
\(937\) | −12.1574 | −0.397164 | −0.198582 | − | 0.980084i | \(-0.563634\pi\) | ||||
−0.198582 | + | 0.980084i | \(0.563634\pi\) | |||||||
\(938\) | 1.57163 | + | 4.17326i | 0.0513156 | + | 0.136262i | ||||
\(939\) | 3.62839 | + | 8.11107i | 0.118408 | + | 0.264695i | ||||
\(940\) | −2.81348 | + | 1.62436i | −0.0917655 | + | 0.0529809i | ||||
\(941\) | 17.4796 | − | 4.68365i | 0.569819 | − | 0.152683i | 0.0376056 | − | 0.999293i | \(-0.488027\pi\) |
0.532214 | + | 0.846610i | \(0.321360\pi\) | |||||||
\(942\) | 4.54113 | + | 5.58771i | 0.147958 | + | 0.182057i | ||||
\(943\) | −0.0112923 | + | 0.0421435i | −0.000367728 | + | 0.00137238i | ||||
\(944\) | 4.10376 | − | 4.10376i | 0.133566 | − | 0.133566i | ||||
\(945\) | 13.0249 | + | 2.78315i | 0.423700 | + | 0.0905360i | ||||
\(946\) | − | 8.89377i | − | 0.289161i | ||||||
\(947\) | −10.3457 | − | 2.77214i | −0.336192 | − | 0.0900823i | 0.0867739 | − | 0.996228i | \(-0.472344\pi\) |
−0.422966 | + | 0.906146i | \(0.639011\pi\) | |||||||
\(948\) | −0.00560248 | + | 0.0542211i | −0.000181960 | + | 0.00176102i | ||||
\(949\) | −27.9171 | − | 38.6461i | −0.906228 | − | 1.25450i | ||||
\(950\) | 9.72849 | − | 5.61675i | 0.315634 | − | 0.182231i | ||||
\(951\) | −16.6313 | + | 43.5547i | −0.539305 | + | 1.41236i | ||||
\(952\) | 8.85004 | − | 6.34446i | 0.286831 | − | 0.205625i | ||||
\(953\) | −4.17491 | −0.135238 | −0.0676192 | − | 0.997711i | \(-0.521540\pi\) | ||||
−0.0676192 | + | 0.997711i | \(0.521540\pi\) | |||||||
\(954\) | 19.9208 | − | 13.0366i | 0.644960 | − | 0.422074i | ||||
\(955\) | −5.21356 | − | 19.4573i | −0.168707 | − | 0.629622i | ||||
\(956\) | −5.95072 | − | 22.2084i | −0.192460 | − | 0.718271i | ||||
\(957\) | 6.10392 | − | 0.977771i | 0.197312 | − | 0.0316069i | ||||
\(958\) | 5.49022 | 0.177381 | ||||||||
\(959\) | 38.7924 | − | 27.8097i | 1.25267 | − | 0.898023i | ||||
\(960\) | −1.56763 | − | 0.598595i | −0.0505950 | − | 0.0193196i | ||||
\(961\) | 21.4462 | − | 12.3820i | 0.691813 | − | 0.399419i | ||||
\(962\) | 1.66003 | − | 10.2989i | 0.0535214 | − | 0.332050i | ||||
\(963\) | −24.4131 | + | 8.02734i | −0.786702 | + | 0.258677i | ||||
\(964\) | −3.82763 | − | 1.02561i | −0.123280 | − | 0.0330327i | ||||
\(965\) | − | 20.5590i | − | 0.661816i | ||||||
\(966\) | 1.44834 | + | 2.53542i | 0.0465997 | + | 0.0815758i | ||||
\(967\) | 1.37016 | − | 1.37016i | 0.0440615 | − | 0.0440615i | −0.684733 | − | 0.728794i | \(-0.740081\pi\) |
0.728794 | + | 0.684733i | \(0.240081\pi\) | |||||||
\(968\) | 2.57520 | − | 9.61078i | 0.0827701 | − | 0.308902i | ||||
\(969\) | −15.3014 | + | 12.4354i | −0.491551 | + | 0.399483i | ||||
\(970\) | −11.4371 | + | 3.06457i | −0.367224 | + | 0.0983975i | ||||
\(971\) | −17.8130 | + | 10.2843i | −0.571645 | + | 0.330039i | −0.757806 | − | 0.652480i | \(-0.773729\pi\) |
0.186161 | + | 0.982519i | \(0.440395\pi\) | |||||||
\(972\) | −7.91262 | − | 13.4309i | −0.253797 | − | 0.430798i | ||||
\(973\) | −17.8605 | − | 47.4261i | −0.572581 | − | 1.52041i | ||||
\(974\) | −24.8432 | −0.796029 | ||||||||
\(975\) | −6.58837 | + | 24.4929i | −0.210997 | + | 0.784399i | ||||
\(976\) | −0.594016 | + | 1.02887i | −0.0190140 | + | 0.0329332i | ||||
\(977\) | −33.7718 | + | 9.04912i | −1.08045 | + | 0.289507i | −0.754782 | − | 0.655976i | \(-0.772257\pi\) |
−0.325673 | + | 0.945483i | \(0.605591\pi\) | |||||||
\(978\) | 14.3165 | + | 10.3631i | 0.457792 | + | 0.331377i | ||||
\(979\) | − | 6.61465i | − | 0.211405i | ||||||
\(980\) | 0.440900 | − | 6.76732i | 0.0140840 | − | 0.216174i | ||||
\(981\) | −0.162734 | − | 2.90933i | −0.00519569 | − | 0.0928879i | ||||
\(982\) | 3.55426 | − | 13.2647i | 0.113421 | − | 0.423293i | ||||
\(983\) | 4.81096 | + | 17.9548i | 0.153446 | + | 0.572668i | 0.999233 | + | 0.0391479i | \(0.0124644\pi\) |
−0.845788 | + | 0.533520i | \(0.820869\pi\) | |||||||
\(984\) | −0.117971 | − | 0.0121896i | −0.00376079 | − | 0.000388590i | ||||
\(985\) | 2.38150 | − | 1.37496i | 0.0758809 | − | 0.0438099i | ||||
\(986\) | −10.1356 | + | 10.1356i | −0.322783 | + | 0.322783i | ||||
\(987\) | −0.0705535 | + | 15.3667i | −0.00224574 | + | 0.489127i | ||||
\(988\) | −4.08110 | + | 9.09935i | −0.129837 | + | 0.289489i | ||||
\(989\) | −4.78903 | + | 2.76494i | −0.152282 | + | 0.0879201i | ||||
\(990\) | 1.34285 | − | 2.65857i | 0.0426787 | − | 0.0844950i | ||||
\(991\) | 12.7044 | − | 22.0047i | 0.403569 | − | 0.699001i | −0.590585 | − | 0.806975i | \(-0.701103\pi\) |
0.994154 | + | 0.107974i | \(0.0344364\pi\) | |||||||
\(992\) | −1.24860 | − | 2.16264i | −0.0396432 | − | 0.0686640i | ||||
\(993\) | −8.73453 | − | 3.33526i | −0.277182 | − | 0.105841i | ||||
\(994\) | 24.7511 | + | 20.3046i | 0.785058 | + | 0.644024i | ||||
\(995\) | −9.02539 | + | 9.02539i | −0.286124 | + | 0.286124i | ||||
\(996\) | 2.34910 | + | 14.6647i | 0.0744341 | + | 0.464669i | ||||
\(997\) | −13.2786 | + | 22.9991i | −0.420536 | + | 0.728390i | −0.995992 | − | 0.0894429i | \(-0.971491\pi\) |
0.575456 | + | 0.817833i | \(0.304825\pi\) | |||||||
\(998\) | 12.9326 | − | 22.3999i | 0.409373 | − | 0.709055i | ||||
\(999\) | −8.12141 | + | 12.6515i | −0.256950 | + | 0.400275i |
(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 | 546.2.bv.a.473.18 | yes | 144 | |
3.2 | odd | 2 | inner | 546.2.bv.a.473.25 | yes | 144 | |
7.2 | even | 3 | inner | 546.2.bv.a.317.25 | yes | 144 | |
13.8 | odd | 4 | inner | 546.2.bv.a.515.18 | yes | 144 | |
21.2 | odd | 6 | inner | 546.2.bv.a.317.18 | ✓ | 144 | |
39.8 | even | 4 | inner | 546.2.bv.a.515.25 | yes | 144 | |
91.86 | odd | 12 | inner | 546.2.bv.a.359.25 | yes | 144 | |
273.86 | even | 12 | inner | 546.2.bv.a.359.18 | yes | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
546.2.bv.a.317.18 | ✓ | 144 | 21.2 | odd | 6 | inner | |
546.2.bv.a.317.25 | yes | 144 | 7.2 | even | 3 | inner | |
546.2.bv.a.359.18 | yes | 144 | 273.86 | even | 12 | inner | |
546.2.bv.a.359.25 | yes | 144 | 91.86 | odd | 12 | inner | |
546.2.bv.a.473.18 | yes | 144 | 1.1 | even | 1 | trivial | |
546.2.bv.a.473.25 | yes | 144 | 3.2 | odd | 2 | inner | |
546.2.bv.a.515.18 | yes | 144 | 13.8 | odd | 4 | inner | |
546.2.bv.a.515.25 | yes | 144 | 39.8 | even | 4 | inner |