Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1638,2,Mod(127,1638)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1638, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 0, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1638.127");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1638 = 2 \cdot 3^{2} \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1638.bj (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(13.0794958511\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{12} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - 6 x^{11} + 39 x^{10} - 140 x^{9} + 460 x^{8} - 1066 x^{7} + 2127 x^{6} - 3172 x^{5} + \cdots + 169 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{13}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 182) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 127.6 | ||
Root | \(0.500000 + 2.47866i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 1638.127 |
Dual form | 1638.2.bj.g.1135.4 |
$q$-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 \(\left(\mathbb{Z}/1638\mathbb{Z}\right)^\times\).
\(n\) | \(379\) | \(703\) | \(911\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(1\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.866025 | − | 0.500000i | 0.612372 | − | 0.353553i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.500000 | − | 0.866025i | 0.250000 | − | 0.433013i | ||||
\(5\) | 1.56356i | 0.699244i | 0.936891 | + | 0.349622i | \(0.113690\pi\) | ||||
−0.936891 | + | 0.349622i | \(0.886310\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.866025 | − | 0.500000i | −0.327327 | − | 0.188982i | ||||
\(8\) | − | 1.00000i | − | 0.353553i | ||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0.781779 | + | 1.35408i | 0.247220 | + | 0.428198i | ||||
\(11\) | 2.48215 | − | 1.43307i | 0.748396 | − | 0.432087i | −0.0767180 | − | 0.997053i | \(-0.524444\pi\) |
0.825114 | + | 0.564966i | \(0.191111\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 2.99598 | − | 2.00602i | 0.830935 | − | 0.556370i | ||||
\(14\) | −1.00000 | −0.267261 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.500000 | − | 0.866025i | −0.125000 | − | 0.216506i | ||||
\(17\) | 1.11481 | − | 1.93090i | 0.270380 | − | 0.468312i | −0.698579 | − | 0.715533i | \(-0.746184\pi\) |
0.968959 | + | 0.247221i | \(0.0795173\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −6.26657 | − | 3.61801i | −1.43765 | − | 0.830028i | −0.439964 | − | 0.898015i | \(-0.645009\pi\) |
−0.997686 | + | 0.0679872i | \(0.978342\pi\) | |||||||
\(20\) | 1.35408 | + | 0.781779i | 0.302782 | + | 0.174811i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 1.43307 | − | 2.48215i | 0.305531 | − | 0.529196i | ||||
\(23\) | 0.833676 | + | 1.44397i | 0.173833 | + | 0.301088i | 0.939757 | − | 0.341843i | \(-0.111051\pi\) |
−0.765924 | + | 0.642932i | \(0.777718\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 2.55529 | 0.511058 | ||||||||
\(26\) | 1.59158 | − | 3.23525i | 0.312135 | − | 0.634485i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −0.866025 | + | 0.500000i | −0.163663 | + | 0.0944911i | ||||
\(29\) | 2.41379 | + | 4.18080i | 0.448229 | + | 0.776356i | 0.998271 | − | 0.0587816i | \(-0.0187216\pi\) |
−0.550042 | + | 0.835137i | \(0.685388\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 0.597963i | 0.107397i | 0.998557 | + | 0.0536987i | \(0.0171010\pi\) | ||||
−0.998557 | + | 0.0536987i | \(0.982899\pi\) | |||||||
\(32\) | −0.866025 | − | 0.500000i | −0.153093 | − | 0.0883883i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | − | 2.22961i | − | 0.382375i | ||||||
\(35\) | 0.781779 | − | 1.35408i | 0.132145 | − | 0.228881i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 0.0333971 | − | 0.0192818i | 0.00549045 | − | 0.00316991i | −0.497252 | − | 0.867606i | \(-0.665658\pi\) |
0.502743 | + | 0.864436i | \(0.332324\pi\) | |||||||
\(38\) | −7.23602 | −1.17384 | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 1.56356 | 0.247220 | ||||||||
\(41\) | 6.88896 | − | 3.97734i | 1.07588 | − | 0.621157i | 0.146095 | − | 0.989271i | \(-0.453330\pi\) |
0.929781 | + | 0.368114i | \(0.119996\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 5.04571 | − | 8.73942i | 0.769463 | − | 1.33275i | −0.168391 | − | 0.985720i | \(-0.553857\pi\) |
0.937854 | − | 0.347029i | \(-0.112809\pi\) | |||||||
\(44\) | − | 2.86614i | − | 0.432087i | ||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 1.44397 | + | 0.833676i | 0.212902 | + | 0.122919i | ||||
\(47\) | 7.02636i | 1.02490i | 0.858717 | + | 0.512450i | \(0.171262\pi\) | ||||
−0.858717 | + | 0.512450i | \(0.828738\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 0.500000 | + | 0.866025i | 0.0714286 | + | 0.123718i | ||||
\(50\) | 2.21294 | − | 1.27764i | 0.312958 | − | 0.180686i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −0.239275 | − | 3.59760i | −0.0331814 | − | 0.498898i | ||||
\(53\) | 5.98404 | 0.821971 | 0.410985 | − | 0.911642i | \(-0.365185\pi\) | ||||
0.410985 | + | 0.911642i | \(0.365185\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 2.24069 | + | 3.88098i | 0.302134 | + | 0.523312i | ||||
\(56\) | −0.500000 | + | 0.866025i | −0.0668153 | + | 0.115728i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 4.18080 | + | 2.41379i | 0.548966 | + | 0.316946i | ||||
\(59\) | −0.776138 | − | 0.448103i | −0.101044 | − | 0.0583381i | 0.448626 | − | 0.893719i | \(-0.351913\pi\) |
−0.549671 | + | 0.835381i | \(0.685247\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 7.12846 | − | 12.3469i | 0.912706 | − | 1.58085i | 0.102481 | − | 0.994735i | \(-0.467322\pi\) |
0.810225 | − | 0.586119i | \(-0.199345\pi\) | |||||||
\(62\) | 0.298982 | + | 0.517851i | 0.0379707 | + | 0.0657672i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | 3.13653 | + | 4.68438i | 0.389038 | + | 0.581026i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −1.42103 | + | 0.820432i | −0.173606 | + | 0.100232i | −0.584285 | − | 0.811548i | \(-0.698625\pi\) |
0.410679 | + | 0.911780i | \(0.365292\pi\) | |||||||
\(68\) | −1.11481 | − | 1.93090i | −0.135190 | − | 0.234156i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | − | 1.56356i | − | 0.186881i | ||||||
\(71\) | 1.98724 | + | 1.14733i | 0.235841 | + | 0.136163i | 0.613264 | − | 0.789878i | \(-0.289856\pi\) |
−0.377422 | + | 0.926041i | \(0.623190\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | − | 11.2277i | − | 1.31411i | −0.753844 | − | 0.657054i | \(-0.771802\pi\) | ||
0.753844 | − | 0.657054i | \(-0.228198\pi\) | |||||||
\(74\) | 0.0192818 | − | 0.0333971i | 0.00224147 | − | 0.00388233i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −6.26657 | + | 3.61801i | −0.718825 | + | 0.415014i | ||||
\(77\) | −2.86614 | −0.326627 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 4.26098 | 0.479397 | 0.239699 | − | 0.970847i | \(-0.422951\pi\) | ||||
0.239699 | + | 0.970847i | \(0.422951\pi\) | |||||||
\(80\) | 1.35408 | − | 0.781779i | 0.151391 | − | 0.0874055i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 3.97734 | − | 6.88896i | 0.439224 | − | 0.760759i | ||||
\(83\) | − | 4.94829i | − | 0.543145i | −0.962418 | − | 0.271572i | \(-0.912456\pi\) | ||
0.962418 | − | 0.271572i | \(-0.0875437\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 3.01907 | + | 1.74306i | 0.327465 | + | 0.189062i | ||||
\(86\) | − | 10.0914i | − | 1.08818i | ||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −1.43307 | − | 2.48215i | −0.152766 | − | 0.264598i | ||||
\(89\) | −2.09682 | + | 1.21060i | −0.222263 | + | 0.128323i | −0.606997 | − | 0.794704i | \(-0.707626\pi\) |
0.384735 | + | 0.923027i | \(0.374293\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −3.59760 | + | 0.239275i | −0.377131 | + | 0.0250828i | ||||
\(92\) | 1.66735 | 0.173833 | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 3.51318 | + | 6.08501i | 0.362357 | + | 0.627621i | ||||
\(95\) | 5.65696 | − | 9.79815i | 0.580392 | − | 1.00527i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −4.23338 | − | 2.44414i | −0.429835 | − | 0.248165i | 0.269442 | − | 0.963017i | \(-0.413161\pi\) |
−0.699276 | + | 0.714852i | \(0.746494\pi\) | |||||||
\(98\) | 0.866025 | + | 0.500000i | 0.0874818 | + | 0.0505076i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 1.27764 | − | 2.21294i | 0.127764 | − | 0.221294i | ||||
\(101\) | −3.68373 | − | 6.38042i | −0.366545 | − | 0.634875i | 0.622478 | − | 0.782638i | \(-0.286126\pi\) |
−0.989023 | + | 0.147763i | \(0.952793\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −5.78525 | −0.570038 | −0.285019 | − | 0.958522i | \(-0.592000\pi\) | ||||
−0.285019 | + | 0.958522i | \(0.592000\pi\) | |||||||
\(104\) | −2.00602 | − | 2.99598i | −0.196706 | − | 0.293780i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 5.18233 | − | 2.99202i | 0.503352 | − | 0.290611i | ||||
\(107\) | −0.514478 | − | 0.891102i | −0.0497365 | − | 0.0861461i | 0.840085 | − | 0.542454i | \(-0.182505\pi\) |
−0.889822 | + | 0.456308i | \(0.849171\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 14.1535i | 1.35566i | 0.735220 | + | 0.677829i | \(0.237079\pi\) | ||||
−0.735220 | + | 0.677829i | \(0.762921\pi\) | |||||||
\(110\) | 3.88098 | + | 2.24069i | 0.370037 | + | 0.213641i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 1.00000i | 0.0944911i | ||||||||
\(113\) | −6.77051 | + | 11.7269i | −0.636916 | + | 1.10317i | 0.349189 | + | 0.937052i | \(0.386457\pi\) |
−0.986106 | + | 0.166119i | \(0.946876\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −2.25773 | + | 1.30350i | −0.210534 | + | 0.121552i | ||||
\(116\) | 4.82757 | 0.448229 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −0.896206 | −0.0825025 | ||||||||
\(119\) | −1.93090 | + | 1.11481i | −0.177005 | + | 0.102194i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −1.39263 | + | 2.41210i | −0.126602 | + | 0.219282i | ||||
\(122\) | − | 14.2569i | − | 1.29076i | ||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 0.517851 | + | 0.298982i | 0.0465044 | + | 0.0268493i | ||||
\(125\) | 11.8131i | 1.05660i | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 4.92583 | + | 8.53178i | 0.437096 | + | 0.757073i | 0.997464 | − | 0.0711707i | \(-0.0226735\pi\) |
−0.560368 | + | 0.828244i | \(0.689340\pi\) | |||||||
\(128\) | −0.866025 | + | 0.500000i | −0.0765466 | + | 0.0441942i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 5.05850 | + | 2.48853i | 0.443660 | + | 0.218259i | ||||
\(131\) | −14.7923 | −1.29241 | −0.646204 | − | 0.763165i | \(-0.723645\pi\) | ||||
−0.646204 | + | 0.763165i | \(0.723645\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 3.61801 | + | 6.26657i | 0.313721 | + | 0.543381i | ||||
\(134\) | −0.820432 | + | 1.42103i | −0.0708746 | + | 0.122758i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −1.93090 | − | 1.11481i | −0.165573 | − | 0.0955938i | ||||
\(137\) | −0.397503 | − | 0.229499i | −0.0339610 | − | 0.0196074i | 0.482923 | − | 0.875663i | \(-0.339575\pi\) |
−0.516884 | + | 0.856055i | \(0.672908\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −7.65731 | + | 13.2628i | −0.649485 | + | 1.12494i | 0.333762 | + | 0.942658i | \(0.391682\pi\) |
−0.983246 | + | 0.182283i | \(0.941651\pi\) | |||||||
\(140\) | −0.781779 | − | 1.35408i | −0.0660724 | − | 0.114441i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 2.29466 | 0.192564 | ||||||||
\(143\) | 4.56170 | − | 9.27268i | 0.381468 | − | 0.775421i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −6.53693 | + | 3.77410i | −0.542862 | + | 0.313422i | ||||
\(146\) | −5.61387 | − | 9.72351i | −0.464607 | − | 0.804723i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | − | 0.0385636i | − | 0.00316991i | ||||||
\(149\) | −8.86563 | − | 5.11858i | −0.726301 | − | 0.419330i | 0.0907665 | − | 0.995872i | \(-0.471068\pi\) |
−0.817067 | + | 0.576542i | \(0.804402\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 15.2110i | 1.23785i | 0.785448 | + | 0.618927i | \(0.212432\pi\) | ||||
−0.785448 | + | 0.618927i | \(0.787568\pi\) | |||||||
\(152\) | −3.61801 | + | 6.26657i | −0.293459 | + | 0.508286i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −2.48215 | + | 1.43307i | −0.200017 | + | 0.115480i | ||||
\(155\) | −0.934950 | −0.0750970 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −2.27419 | −0.181500 | −0.0907500 | − | 0.995874i | \(-0.528926\pi\) | ||||
−0.0907500 | + | 0.995874i | \(0.528926\pi\) | |||||||
\(158\) | 3.69011 | − | 2.13049i | 0.293570 | − | 0.169493i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 0.781779 | − | 1.35408i | 0.0618050 | − | 0.107049i | ||||
\(161\) | − | 1.66735i | − | 0.131406i | ||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 0.00848066 | + | 0.00489631i | 0.000664256 | + | 0.000383509i | 0.500332 | − | 0.865834i | \(-0.333211\pi\) |
−0.499668 | + | 0.866217i | \(0.666545\pi\) | |||||||
\(164\) | − | 7.95469i | − | 0.621157i | ||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −2.47414 | − | 4.28534i | −0.192031 | − | 0.332607i | ||||
\(167\) | −21.6080 | + | 12.4754i | −1.67208 | + | 0.965376i | −0.705608 | + | 0.708603i | \(0.749326\pi\) |
−0.966472 | + | 0.256773i | \(0.917341\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 4.95177 | − | 12.0200i | 0.380906 | − | 0.924614i | ||||
\(170\) | 3.48613 | 0.267374 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −5.04571 | − | 8.73942i | −0.384731 | − | 0.666374i | ||||
\(173\) | 1.60275 | − | 2.77604i | 0.121855 | − | 0.211058i | −0.798644 | − | 0.601803i | \(-0.794449\pi\) |
0.920499 | + | 0.390745i | \(0.127782\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −2.21294 | − | 1.27764i | −0.167283 | − | 0.0965808i | ||||
\(176\) | −2.48215 | − | 1.43307i | −0.187099 | − | 0.108022i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −1.21060 | + | 2.09682i | −0.0907383 | + | 0.157163i | ||||
\(179\) | 7.89998 | + | 13.6832i | 0.590472 | + | 1.02273i | 0.994169 | + | 0.107835i | \(0.0343917\pi\) |
−0.403697 | + | 0.914893i | \(0.632275\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 9.11907 | 0.677815 | 0.338908 | − | 0.940820i | \(-0.389943\pi\) | ||||
0.338908 | + | 0.940820i | \(0.389943\pi\) | |||||||
\(182\) | −2.99598 | + | 2.00602i | −0.222077 | + | 0.148696i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 1.44397 | − | 0.833676i | 0.106451 | − | 0.0614594i | ||||
\(185\) | 0.0301482 | + | 0.0522183i | 0.00221654 | + | 0.00383916i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | − | 6.39038i | − | 0.467311i | ||||||
\(188\) | 6.08501 | + | 3.51318i | 0.443795 | + | 0.256225i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | − | 11.3139i | − | 0.820799i | ||||||
\(191\) | −1.63068 | + | 2.82443i | −0.117992 | + | 0.204368i | −0.918972 | − | 0.394323i | \(-0.870979\pi\) |
0.800980 | + | 0.598691i | \(0.204312\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 19.1158 | − | 11.0365i | 1.37599 | − | 0.794426i | 0.384313 | − | 0.923203i | \(-0.374438\pi\) |
0.991674 | + | 0.128777i | \(0.0411051\pi\) | |||||||
\(194\) | −4.88829 | −0.350959 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 1.00000 | 0.0714286 | ||||||||
\(197\) | 4.56660 | − | 2.63653i | 0.325357 | − | 0.187845i | −0.328421 | − | 0.944531i | \(-0.606516\pi\) |
0.653778 | + | 0.756687i | \(0.273183\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 4.43381 | − | 7.67958i | 0.314304 | − | 0.544391i | −0.664985 | − | 0.746857i | \(-0.731562\pi\) |
0.979289 | + | 0.202466i | \(0.0648954\pi\) | |||||||
\(200\) | − | 2.55529i | − | 0.180686i | ||||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −6.38042 | − | 3.68373i | −0.448924 | − | 0.259187i | ||||
\(203\) | − | 4.82757i | − | 0.338829i | ||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 6.21881 | + | 10.7713i | 0.434340 | + | 0.752300i | ||||
\(206\) | −5.01017 | + | 2.89263i | −0.349075 | + | 0.201539i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −3.23525 | − | 1.59158i | −0.224324 | − | 0.110356i | ||||
\(209\) | −20.7394 | −1.43458 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −3.28453 | − | 5.68898i | −0.226117 | − | 0.391646i | 0.730537 | − | 0.682873i | \(-0.239270\pi\) |
−0.956654 | + | 0.291227i | \(0.905936\pi\) | |||||||
\(212\) | 2.99202 | − | 5.18233i | 0.205493 | − | 0.355924i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −0.891102 | − | 0.514478i | −0.0609145 | − | 0.0351690i | ||||
\(215\) | 13.6646 | + | 7.88925i | 0.931917 | + | 0.538043i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 0.298982 | − | 0.517851i | 0.0202962 | − | 0.0351540i | ||||
\(218\) | 7.07674 | + | 12.2573i | 0.479297 | + | 0.830167i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 4.48137 | 0.302134 | ||||||||
\(221\) | −0.533490 | − | 8.02126i | −0.0358864 | − | 0.539568i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −14.6463 | + | 8.45606i | −0.980790 | + | 0.566260i | −0.902509 | − | 0.430672i | \(-0.858277\pi\) |
−0.0782817 | + | 0.996931i | \(0.524943\pi\) | |||||||
\(224\) | 0.500000 | + | 0.866025i | 0.0334077 | + | 0.0578638i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 13.5410i | 0.900736i | ||||||||
\(227\) | 13.9709 | + | 8.06611i | 0.927282 | + | 0.535367i | 0.885951 | − | 0.463779i | \(-0.153507\pi\) |
0.0413312 | + | 0.999146i | \(0.486840\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 6.91184i | 0.456747i | 0.973574 | + | 0.228374i | \(0.0733408\pi\) | ||||
−0.973574 | + | 0.228374i | \(0.926659\pi\) | |||||||
\(230\) | −1.30350 | + | 2.25773i | −0.0859502 | + | 0.148870i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 4.18080 | − | 2.41379i | 0.274483 | − | 0.158473i | ||||
\(233\) | −7.47405 | −0.489641 | −0.244821 | − | 0.969568i | \(-0.578729\pi\) | ||||
−0.244821 | + | 0.969568i | \(0.578729\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −10.9861 | −0.716656 | ||||||||
\(236\) | −0.776138 | + | 0.448103i | −0.0505222 | + | 0.0291690i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −1.11481 | + | 1.93090i | −0.0722621 | + | 0.125162i | ||||
\(239\) | − | 19.8696i | − | 1.28526i | −0.766179 | − | 0.642628i | \(-0.777844\pi\) | ||
0.766179 | − | 0.642628i | \(-0.222156\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −9.21842 | − | 5.32226i | −0.593811 | − | 0.342837i | 0.172792 | − | 0.984958i | \(-0.444721\pi\) |
−0.766603 | + | 0.642121i | \(0.778054\pi\) | |||||||
\(242\) | 2.78525i | 0.179043i | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −7.12846 | − | 12.3469i | −0.456353 | − | 0.790427i | ||||
\(245\) | −1.35408 | + | 0.781779i | −0.0865090 | + | 0.0499460i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −26.0323 | + | 1.73140i | −1.65640 | + | 0.110166i | ||||
\(248\) | 0.597963 | 0.0379707 | ||||||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 5.90656 | + | 10.2305i | 0.373564 | + | 0.647032i | ||||
\(251\) | −7.95696 | + | 13.7819i | −0.502239 | + | 0.869904i | 0.497757 | + | 0.867316i | \(0.334157\pi\) |
−0.999997 | + | 0.00258749i | \(0.999176\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 4.13861 | + | 2.38943i | 0.260192 | + | 0.150222i | ||||
\(254\) | 8.53178 | + | 4.92583i | 0.535332 | + | 0.309074i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | 15.5509 | + | 26.9350i | 0.970039 | + | 1.68016i | 0.695420 | + | 0.718603i | \(0.255218\pi\) |
0.274619 | + | 0.961553i | \(0.411448\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −0.0385636 | −0.00239623 | ||||||||
\(260\) | 5.62506 | − | 0.374120i | 0.348851 | − | 0.0232019i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −12.8105 | + | 7.39614i | −0.791435 | + | 0.456935i | ||||
\(263\) | −14.1873 | − | 24.5732i | −0.874829 | − | 1.51525i | −0.856945 | − | 0.515408i | \(-0.827640\pi\) |
−0.0178837 | − | 0.999840i | \(-0.505693\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 9.35639i | 0.574758i | ||||||||
\(266\) | 6.26657 | + | 3.61801i | 0.384228 | + | 0.221834i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 1.64086i | 0.100232i | ||||||||
\(269\) | −10.7008 | + | 18.5344i | −0.652441 | + | 1.13006i | 0.330088 | + | 0.943950i | \(0.392922\pi\) |
−0.982529 | + | 0.186111i | \(0.940412\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 4.97667 | − | 2.87328i | 0.302311 | − | 0.174539i | −0.341170 | − | 0.940002i | \(-0.610823\pi\) |
0.643481 | + | 0.765462i | \(0.277490\pi\) | |||||||
\(272\) | −2.22961 | −0.135190 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −0.458997 | −0.0277290 | ||||||||
\(275\) | 6.34260 | − | 3.66190i | 0.382473 | − | 0.220821i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 13.3010 | − | 23.0380i | 0.799180 | − | 1.38422i | −0.120971 | − | 0.992656i | \(-0.538601\pi\) |
0.920151 | − | 0.391564i | \(-0.128066\pi\) | |||||||
\(278\) | 15.3146i | 0.918510i | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −1.35408 | − | 0.781779i | −0.0809218 | − | 0.0467202i | ||||
\(281\) | − | 6.69143i | − | 0.399177i | −0.979880 | − | 0.199589i | \(-0.936039\pi\) | ||
0.979880 | − | 0.199589i | \(-0.0639606\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 9.96692 | + | 17.2632i | 0.592472 | + | 1.02619i | 0.993898 | + | 0.110300i | \(0.0351812\pi\) |
−0.401426 | + | 0.915891i | \(0.631485\pi\) | |||||||
\(284\) | 1.98724 | − | 1.14733i | 0.117921 | − | 0.0680816i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −0.685794 | − | 10.3112i | −0.0405519 | − | 0.609716i | ||||
\(287\) | −7.95469 | −0.469550 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 6.01442 | + | 10.4173i | 0.353789 | + | 0.612781i | ||||
\(290\) | −3.77410 | + | 6.53693i | −0.221623 | + | 0.383861i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −9.72351 | − | 5.61387i | −0.569025 | − | 0.328527i | ||||
\(293\) | 7.67375 | + | 4.43044i | 0.448305 | + | 0.258829i | 0.707114 | − | 0.707099i | \(-0.249997\pi\) |
−0.258809 | + | 0.965929i | \(0.583330\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 0.700635 | − | 1.21354i | 0.0407926 | − | 0.0706548i | ||||
\(296\) | −0.0192818 | − | 0.0333971i | −0.00112073 | − | 0.00194117i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −10.2372 | −0.593022 | ||||||||
\(299\) | 5.39430 | + | 2.65373i | 0.311961 | + | 0.153469i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −8.73942 | + | 5.04571i | −0.503732 | + | 0.290830i | ||||
\(302\) | 7.60551 | + | 13.1731i | 0.437648 | + | 0.758028i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 7.23602i | 0.415014i | ||||||||
\(305\) | 19.3050 | + | 11.1458i | 1.10540 | + | 0.638205i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | − | 8.34636i | − | 0.476352i | −0.971222 | − | 0.238176i | \(-0.923450\pi\) | ||
0.971222 | − | 0.238176i | \(-0.0765495\pi\) | |||||||
\(308\) | −1.43307 | + | 2.48215i | −0.0816567 | + | 0.141434i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −0.809690 | + | 0.467475i | −0.0459873 | + | 0.0265508i | ||||
\(311\) | 6.68896 | 0.379296 | 0.189648 | − | 0.981852i | \(-0.439265\pi\) | ||||
0.189648 | + | 0.981852i | \(0.439265\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −21.3788 | −1.20840 | −0.604199 | − | 0.796833i | \(-0.706507\pi\) | ||||
−0.604199 | + | 0.796833i | \(0.706507\pi\) | |||||||
\(314\) | −1.96950 | + | 1.13709i | −0.111146 | + | 0.0641699i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 2.13049 | − | 3.69011i | 0.119849 | − | 0.207585i | ||||
\(317\) | 31.6776i | 1.77919i | 0.456748 | + | 0.889596i | \(0.349014\pi\) | ||||
−0.456748 | + | 0.889596i | \(0.650986\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 11.9828 | + | 6.91825i | 0.670906 | + | 0.387348i | ||||
\(320\) | − | 1.56356i | − | 0.0874055i | ||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −0.833676 | − | 1.44397i | −0.0464589 | − | 0.0804692i | ||||
\(323\) | −13.9720 | + | 8.06675i | −0.777424 | + | 0.448846i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 7.65559 | − | 5.12596i | 0.424656 | − | 0.284337i | ||||
\(326\) | 0.00979262 | 0.000542363 | ||||||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −3.97734 | − | 6.88896i | −0.219612 | − | 0.380379i | ||||
\(329\) | 3.51318 | − | 6.08501i | 0.193688 | − | 0.335477i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −21.3644 | − | 12.3347i | −1.17429 | − | 0.677979i | −0.219606 | − | 0.975589i | \(-0.570477\pi\) |
−0.954688 | + | 0.297609i | \(0.903811\pi\) | |||||||
\(332\) | −4.28534 | − | 2.47414i | −0.235189 | − | 0.135786i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −12.4754 | + | 21.6080i | −0.682624 | + | 1.18234i | ||||
\(335\) | −1.28279 | − | 2.22186i | −0.0700865 | − | 0.121393i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 28.0871 | 1.53000 | 0.765002 | − | 0.644028i | \(-0.222738\pi\) | ||||
0.765002 | + | 0.644028i | \(0.222738\pi\) | |||||||
\(338\) | −1.72163 | − | 12.8855i | −0.0936444 | − | 0.700879i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 3.01907 | − | 1.74306i | 0.163732 | − | 0.0945309i | ||||
\(341\) | 0.856923 | + | 1.48423i | 0.0464050 | + | 0.0803757i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | − | 1.00000i | − | 0.0539949i | ||||||
\(344\) | −8.73942 | − | 5.04571i | −0.471198 | − | 0.272046i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | − | 3.20550i | − | 0.172329i | ||||||
\(347\) | −5.05398 | + | 8.75374i | −0.271312 | + | 0.469926i | −0.969198 | − | 0.246283i | \(-0.920791\pi\) |
0.697886 | + | 0.716209i | \(0.254124\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −15.0596 | + | 8.69465i | −0.806121 | + | 0.465414i | −0.845607 | − | 0.533806i | \(-0.820761\pi\) |
0.0394863 | + | 0.999220i | \(0.487428\pi\) | |||||||
\(350\) | −2.55529 | −0.136586 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −2.86614 | −0.152766 | ||||||||
\(353\) | −2.88091 | + | 1.66329i | −0.153335 | + | 0.0885282i | −0.574704 | − | 0.818361i | \(-0.694883\pi\) |
0.421369 | + | 0.906889i | \(0.361550\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −1.79392 | + | 3.10716i | −0.0952113 | + | 0.164911i | ||||
\(356\) | 2.42120i | 0.128323i | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 13.6832 | + | 7.89998i | 0.723177 | + | 0.417527i | ||||
\(359\) | − | 8.02414i | − | 0.423498i | −0.977324 | − | 0.211749i | \(-0.932084\pi\) | ||
0.977324 | − | 0.211749i | \(-0.0679159\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 16.6800 | + | 28.8905i | 0.877893 | + | 1.52055i | ||||
\(362\) | 7.89735 | − | 4.55954i | 0.415075 | − | 0.239644i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −1.59158 | + | 3.23525i | −0.0834216 | + | 0.169573i | ||||
\(365\) | 17.5552 | 0.918882 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −0.519540 | − | 0.899869i | −0.0271198 | − | 0.0469728i | 0.852147 | − | 0.523302i | \(-0.175300\pi\) |
−0.879267 | + | 0.476330i | \(0.841967\pi\) | |||||||
\(368\) | 0.833676 | − | 1.44397i | 0.0434583 | − | 0.0752721i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 0.0522183 | + | 0.0301482i | 0.00271470 | + | 0.00156733i | ||||
\(371\) | −5.18233 | − | 2.99202i | −0.269053 | − | 0.155338i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −13.6562 | + | 23.6532i | −0.707092 | + | 1.22472i | 0.258840 | + | 0.965920i | \(0.416660\pi\) |
−0.965931 | + | 0.258798i | \(0.916673\pi\) | |||||||
\(374\) | −3.19519 | − | 5.53423i | −0.165219 | − | 0.286168i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 7.02636 | 0.362357 | ||||||||
\(377\) | 15.6184 | + | 7.68349i | 0.804390 | + | 0.395720i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −1.91535 | + | 1.10583i | −0.0983850 | + | 0.0568026i | −0.548385 | − | 0.836226i | \(-0.684757\pi\) |
0.450000 | + | 0.893028i | \(0.351424\pi\) | |||||||
\(380\) | −5.65696 | − | 9.79815i | −0.290196 | − | 0.502634i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 3.26137i | 0.166866i | ||||||||
\(383\) | −19.3458 | − | 11.1693i | −0.988522 | − | 0.570724i | −0.0836900 | − | 0.996492i | \(-0.526671\pi\) |
−0.904832 | + | 0.425768i | \(0.860004\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | − | 4.48137i | − | 0.228392i | ||||||
\(386\) | 11.0365 | − | 19.1158i | 0.561744 | − | 0.972969i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −4.23338 | + | 2.44414i | −0.214917 | + | 0.124083i | ||||
\(389\) | 12.2604 | 0.621629 | 0.310814 | − | 0.950471i | \(-0.399398\pi\) | ||||
0.310814 | + | 0.950471i | \(0.399398\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 3.71755 | 0.188004 | ||||||||
\(392\) | 0.866025 | − | 0.500000i | 0.0437409 | − | 0.0252538i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 2.63653 | − | 4.56660i | 0.132826 | − | 0.230062i | ||||
\(395\) | 6.66228i | 0.335216i | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 2.54193 | + | 1.46759i | 0.127576 | + | 0.0736561i | 0.562430 | − | 0.826845i | \(-0.309867\pi\) |
−0.434854 | + | 0.900501i | \(0.643200\pi\) | |||||||
\(398\) | − | 8.86762i | − | 0.444493i | ||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −1.27764 | − | 2.21294i | −0.0638822 | − | 0.110647i | ||||
\(401\) | −18.9229 | + | 10.9251i | −0.944963 | + | 0.545575i | −0.891513 | − | 0.452996i | \(-0.850355\pi\) |
−0.0534502 | + | 0.998571i | \(0.517022\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 1.19953 | + | 1.79148i | 0.0597526 | + | 0.0892402i | ||||
\(404\) | −7.36747 | −0.366545 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −2.41379 | − | 4.18080i | −0.119794 | − | 0.207490i | ||||
\(407\) | 0.0552644 | − | 0.0957207i | 0.00273935 | − | 0.00474470i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −6.39292 | − | 3.69095i | −0.316109 | − | 0.182506i | 0.333548 | − | 0.942733i | \(-0.391754\pi\) |
−0.649657 | + | 0.760227i | \(0.725088\pi\) | |||||||
\(410\) | 10.7713 | + | 6.21881i | 0.531956 | + | 0.307125i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −2.89263 | + | 5.01017i | −0.142509 | + | 0.246834i | ||||
\(413\) | 0.448103 | + | 0.776138i | 0.0220497 | + | 0.0381912i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 7.73693 | 0.379791 | ||||||||
\(416\) | −3.59760 | + | 0.239275i | −0.176387 | + | 0.0117314i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −17.9609 | + | 10.3697i | −0.878495 | + | 0.507199i | ||||
\(419\) | −4.29137 | − | 7.43287i | −0.209647 | − | 0.363119i | 0.741956 | − | 0.670448i | \(-0.233898\pi\) |
−0.951603 | + | 0.307329i | \(0.900565\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | − | 7.49525i | − | 0.365296i | −0.983178 | − | 0.182648i | \(-0.941533\pi\) | ||
0.983178 | − | 0.182648i | \(-0.0584669\pi\) | |||||||
\(422\) | −5.68898 | − | 3.28453i | −0.276935 | − | 0.159889i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | − | 5.98404i | − | 0.290611i | ||||||
\(425\) | 2.84865 | − | 4.93401i | 0.138180 | − | 0.239334i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −12.3469 | + | 7.12846i | −0.597507 | + | 0.344971i | ||||
\(428\) | −1.02896 | −0.0497365 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 15.7785 | 0.760907 | ||||||||
\(431\) | 14.2713 | − | 8.23956i | 0.687426 | − | 0.396886i | −0.115221 | − | 0.993340i | \(-0.536758\pi\) |
0.802647 | + | 0.596454i | \(0.203424\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −12.7805 | + | 22.1365i | −0.614192 | + | 1.06381i | 0.376333 | + | 0.926484i | \(0.377185\pi\) |
−0.990526 | + | 0.137328i | \(0.956149\pi\) | |||||||
\(434\) | − | 0.597963i | − | 0.0287031i | ||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 12.2573 | + | 7.07674i | 0.587017 | + | 0.338914i | ||||
\(437\) | − | 12.0650i | − | 0.577146i | ||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 4.60420 | + | 7.97470i | 0.219746 | + | 0.380612i | 0.954730 | − | 0.297473i | \(-0.0961437\pi\) |
−0.734984 | + | 0.678084i | \(0.762810\pi\) | |||||||
\(440\) | 3.88098 | − | 2.24069i | 0.185019 | − | 0.106821i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −4.47264 | − | 6.67987i | −0.212742 | − | 0.317729i | ||||
\(443\) | 6.20759 | 0.294931 | 0.147466 | − | 0.989067i | \(-0.452888\pi\) | ||||
0.147466 | + | 0.989067i | \(0.452888\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −1.89284 | − | 3.27850i | −0.0897294 | − | 0.155416i | ||||
\(446\) | −8.45606 | + | 14.6463i | −0.400406 | + | 0.693523i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 0.866025 | + | 0.500000i | 0.0409159 | + | 0.0236228i | ||||
\(449\) | −4.51968 | − | 2.60944i | −0.213297 | − | 0.123147i | 0.389546 | − | 0.921007i | \(-0.372632\pi\) |
−0.602843 | + | 0.797860i | \(0.705965\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 11.3996 | − | 19.7447i | 0.536787 | − | 0.929743i | ||||
\(452\) | 6.77051 | + | 11.7269i | 0.318458 | + | 0.551586i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 16.1322 | 0.757123 | ||||||||
\(455\) | −0.374120 | − | 5.62506i | −0.0175390 | − | 0.263707i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −29.3870 | + | 16.9666i | −1.37467 | + | 0.793664i | −0.991511 | − | 0.130021i | \(-0.958496\pi\) |
−0.383155 | + | 0.923684i | \(0.625162\pi\) | |||||||
\(458\) | 3.45592 | + | 5.98583i | 0.161484 | + | 0.279699i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 2.60700i | 0.121552i | ||||||||
\(461\) | −0.731583 | − | 0.422380i | −0.0340732 | − | 0.0196722i | 0.482867 | − | 0.875694i | \(-0.339596\pi\) |
−0.516940 | + | 0.856022i | \(0.672929\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 6.50221i | 0.302183i | 0.988520 | + | 0.151092i | \(0.0482789\pi\) | ||||
−0.988520 | + | 0.151092i | \(0.951721\pi\) | |||||||
\(464\) | 2.41379 | − | 4.18080i | 0.112057 | − | 0.194089i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −6.47272 | + | 3.73702i | −0.299843 | + | 0.173114i | ||||
\(467\) | −9.52759 | −0.440884 | −0.220442 | − | 0.975400i | \(-0.570750\pi\) | ||||
−0.220442 | + | 0.975400i | \(0.570750\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 1.64086 | 0.0757681 | ||||||||
\(470\) | −9.51426 | + | 5.49306i | −0.438860 | + | 0.253376i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −0.448103 | + | 0.776138i | −0.0206256 | + | 0.0357246i | ||||
\(473\) | − | 28.9234i | − | 1.32990i | ||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −16.0129 | − | 9.24505i | −0.734722 | − | 0.424192i | ||||
\(476\) | 2.22961i | 0.102194i | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −9.93478 | − | 17.2075i | −0.454406 | − | 0.787055i | ||||
\(479\) | 2.46123 | − | 1.42099i | 0.112457 | − | 0.0649268i | −0.442717 | − | 0.896662i | \(-0.645985\pi\) |
0.555173 | + | 0.831735i | \(0.312652\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 0.0613773 | − | 0.124763i | 0.00279856 | − | 0.00568871i | ||||
\(482\) | −10.6445 | −0.484844 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 1.39263 | + | 2.41210i | 0.0633011 | + | 0.109641i | ||||
\(485\) | 3.82156 | − | 6.61913i | 0.173528 | − | 0.300559i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −4.55853 | − | 2.63187i | −0.206567 | − | 0.119261i | 0.393148 | − | 0.919475i | \(-0.371386\pi\) |
−0.599715 | + | 0.800214i | \(0.704719\pi\) | |||||||
\(488\) | −12.3469 | − | 7.12846i | −0.558916 | − | 0.322690i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −0.781779 | + | 1.35408i | −0.0353172 | + | 0.0611711i | ||||
\(491\) | −11.4457 | − | 19.8245i | −0.516536 | − | 0.894666i | −0.999816 | − | 0.0192004i | \(-0.993888\pi\) |
0.483280 | − | 0.875466i | \(-0.339445\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 10.7636 | 0.484769 | ||||||||
\(494\) | −21.6789 | + | 14.5156i | −0.975382 | + | 0.653087i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 0.517851 | − | 0.298982i | 0.0232522 | − | 0.0134247i | ||||
\(497\) | −1.14733 | − | 1.98724i | −0.0514648 | − | 0.0891397i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | − | 6.79877i | − | 0.304355i | −0.988353 | − | 0.152177i | \(-0.951372\pi\) | ||
0.988353 | − | 0.152177i | \(-0.0486285\pi\) | |||||||
\(500\) | 10.2305 | + | 5.90656i | 0.457520 | + | 0.264150i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 15.9139i | 0.710273i | ||||||||
\(503\) | 5.40300 | − | 9.35827i | 0.240908 | − | 0.417265i | −0.720065 | − | 0.693906i | \(-0.755888\pi\) |
0.960973 | + | 0.276642i | \(0.0892215\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 9.97615 | − | 5.75973i | 0.443933 | − | 0.256305i | ||||
\(506\) | 4.77886 | 0.212446 | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 9.85165 | 0.437096 | ||||||||
\(509\) | 23.6593 | − | 13.6597i | 1.04868 | − | 0.605455i | 0.126400 | − | 0.991979i | \(-0.459658\pi\) |
0.922279 | + | 0.386524i | \(0.126324\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −5.61387 | + | 9.72351i | −0.248343 | + | 0.430143i | ||||
\(512\) | 1.00000i | 0.0441942i | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 26.9350 | + | 15.5509i | 1.18805 | + | 0.685921i | ||||
\(515\) | − | 9.04557i | − | 0.398595i | ||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 10.0693 | + | 17.4405i | 0.442846 | + | 0.767031i | ||||
\(518\) | −0.0333971 | + | 0.0192818i | −0.00146738 | + | 0.000847194i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 4.68438 | − | 3.13653i | 0.205424 | − | 0.137546i | ||||
\(521\) | 3.63580 | 0.159287 | 0.0796437 | − | 0.996823i | \(-0.474622\pi\) | ||||
0.0796437 | + | 0.996823i | \(0.474622\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 3.59223 | + | 6.22193i | 0.157077 | + | 0.272066i | 0.933813 | − | 0.357760i | \(-0.116459\pi\) |
−0.776736 | + | 0.629826i | \(0.783126\pi\) | |||||||
\(524\) | −7.39614 | + | 12.8105i | −0.323102 | + | 0.559629i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −24.5732 | − | 14.1873i | −1.07144 | − | 0.618597i | ||||
\(527\) | 1.15461 | + | 0.666613i | 0.0502955 | + | 0.0290381i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 10.1100 | − | 17.5110i | 0.439564 | − | 0.761347i | ||||
\(530\) | 4.67819 | + | 8.10287i | 0.203208 | + | 0.351966i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 7.23602 | 0.313721 | ||||||||
\(533\) | 12.6606 | − | 25.7354i | 0.548389 | − | 1.11473i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 1.39329 | − | 0.804416i | 0.0602371 | − | 0.0347779i | ||||
\(536\) | 0.820432 | + | 1.42103i | 0.0354373 | + | 0.0613792i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 21.4017i | 0.922691i | ||||||||
\(539\) | 2.48215 | + | 1.43307i | 0.106914 | + | 0.0617267i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | − | 0.445063i | − | 0.0191347i | −0.999954 | − | 0.00956737i | \(-0.996955\pi\) | ||
0.999954 | − | 0.00956737i | \(-0.00304543\pi\) | |||||||
\(542\) | 2.87328 | − | 4.97667i | 0.123418 | − | 0.213766i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −1.93090 | + | 1.11481i | −0.0827867 | + | 0.0477969i | ||||
\(545\) | −22.1298 | −0.947935 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −5.67129 | −0.242487 | −0.121243 | − | 0.992623i | \(-0.538688\pi\) | ||||
−0.121243 | + | 0.992623i | \(0.538688\pi\) | |||||||
\(548\) | −0.397503 | + | 0.229499i | −0.0169805 | + | 0.00980370i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 3.66190 | − | 6.34260i | 0.156144 | − | 0.270450i | ||||
\(551\) | − | 34.9324i | − | 1.48817i | ||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −3.69011 | − | 2.13049i | −0.156920 | − | 0.0905976i | ||||
\(554\) | − | 26.6020i | − | 1.13021i | ||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 7.65731 | + | 13.2628i | 0.324742 | + | 0.562470i | ||||
\(557\) | −22.9561 | + | 13.2537i | −0.972683 | + | 0.561579i | −0.900053 | − | 0.435780i | \(-0.856472\pi\) |
−0.0726298 | + | 0.997359i | \(0.523139\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −2.41462 | − | 36.3049i | −0.102128 | − | 1.53553i | ||||
\(560\) | −1.56356 | −0.0660724 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −3.34571 | − | 5.79495i | −0.141130 | − | 0.244445i | ||||
\(563\) | 5.76880 | − | 9.99186i | 0.243126 | − | 0.421107i | −0.718477 | − | 0.695551i | \(-0.755160\pi\) |
0.961603 | + | 0.274444i | \(0.0884938\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −18.3356 | − | 10.5861i | −0.771386 | − | 0.445360i | ||||
\(566\) | 17.2632 | + | 9.96692i | 0.725627 | + | 0.418941i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 1.14733 | − | 1.98724i | 0.0481409 | − | 0.0833826i | ||||
\(569\) | 16.0791 | + | 27.8497i | 0.674069 | + | 1.16752i | 0.976740 | + | 0.214427i | \(0.0687883\pi\) |
−0.302671 | + | 0.953095i | \(0.597878\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −11.5540 | −0.483521 | −0.241761 | − | 0.970336i | \(-0.577725\pi\) | ||||
−0.241761 | + | 0.970336i | \(0.577725\pi\) | |||||||
\(572\) | −5.74953 | − | 8.58689i | −0.240400 | − | 0.359036i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −6.88896 | + | 3.97734i | −0.287540 | + | 0.166011i | ||||
\(575\) | 2.13028 | + | 3.68976i | 0.0888389 | + | 0.153873i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 9.14050i | 0.380524i | 0.981733 | + | 0.190262i | \(0.0609337\pi\) | ||||
−0.981733 | + | 0.190262i | \(0.939066\pi\) | |||||||
\(578\) | 10.4173 | + | 6.01442i | 0.433301 | + | 0.250167i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 7.54819i | 0.313422i | ||||||||
\(581\) | −2.47414 | + | 4.28534i | −0.102645 | + | 0.177786i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 14.8533 | − | 8.57554i | 0.615160 | − | 0.355163i | ||||
\(584\) | −11.2277 | −0.464607 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 8.86088 | 0.366040 | ||||||||
\(587\) | −37.0629 | + | 21.3983i | −1.52975 | + | 0.883201i | −0.530378 | + | 0.847761i | \(0.677950\pi\) |
−0.999372 | + | 0.0354398i | \(0.988717\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 2.16344 | − | 3.74718i | 0.0891428 | − | 0.154400i | ||||
\(590\) | − | 1.40127i | − | 0.0576894i | ||||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −0.0333971 | − | 0.0192818i | −0.00137261 | − | 0.000792478i | ||||
\(593\) | 14.2439i | 0.584927i | 0.956277 | + | 0.292463i | \(0.0944750\pi\) | ||||
−0.956277 | + | 0.292463i | \(0.905525\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −1.74306 | − | 3.01907i | −0.0714586 | − | 0.123770i | ||||
\(596\) | −8.86563 | + | 5.11858i | −0.363150 | + | 0.209665i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 5.99847 | − | 0.398955i | 0.245296 | − | 0.0163145i | ||||
\(599\) | −3.74735 | −0.153113 | −0.0765563 | − | 0.997065i | \(-0.524392\pi\) | ||||
−0.0765563 | + | 0.997065i | \(0.524392\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −5.33462 | − | 9.23984i | −0.217604 | − | 0.376901i | 0.736471 | − | 0.676469i | \(-0.236491\pi\) |
−0.954075 | + | 0.299568i | \(0.903157\pi\) | |||||||
\(602\) | −5.04571 | + | 8.73942i | −0.205648 | + | 0.356192i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 13.1731 | + | 7.60551i | 0.536007 | + | 0.309464i | ||||
\(605\) | −3.77145 | − | 2.17745i | −0.153331 | − | 0.0885259i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −4.82628 | + | 8.35936i | −0.195893 | + | 0.339296i | −0.947193 | − | 0.320665i | \(-0.896094\pi\) |
0.751300 | + | 0.659961i | \(0.229427\pi\) | |||||||
\(608\) | 3.61801 | + | 6.26657i | 0.146730 | + | 0.254143i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 22.2915 | 0.902558 | ||||||||
\(611\) | 14.0950 | + | 21.0508i | 0.570223 | + | 0.851625i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −3.45968 | + | 1.99745i | −0.139735 | + | 0.0806761i | −0.568238 | − | 0.822864i | \(-0.692375\pi\) |
0.428503 | + | 0.903541i | \(0.359041\pi\) | |||||||
\(614\) | −4.17318 | − | 7.22816i | −0.168416 | − | 0.291705i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 2.86614i | 0.115480i | ||||||||
\(617\) | −2.80199 | − | 1.61773i | −0.112804 | − | 0.0651273i | 0.442537 | − | 0.896750i | \(-0.354079\pi\) |
−0.555340 | + | 0.831623i | \(0.687412\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | − | 39.2679i | − | 1.57831i | −0.614193 | − | 0.789156i | \(-0.710518\pi\) | ||
0.614193 | − | 0.789156i | \(-0.289482\pi\) | |||||||
\(620\) | −0.467475 | + | 0.809690i | −0.0187742 | + | 0.0325179i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 5.79281 | − | 3.34448i | 0.232270 | − | 0.134101i | ||||
\(623\) | 2.42120 | 0.0970033 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −5.69406 | −0.227763 | ||||||||
\(626\) | −18.5145 | + | 10.6894i | −0.739990 | + | 0.427233i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −1.13709 | + | 1.96950i | −0.0453750 | + | 0.0785918i | ||||
\(629\) | − | 0.0859819i | − | 0.00342832i | ||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 25.4983 | + | 14.7215i | 1.01507 | + | 0.586052i | 0.912673 | − | 0.408691i | \(-0.134015\pi\) |
0.102400 | + | 0.994743i | \(0.467348\pi\) | |||||||
\(632\) | − | 4.26098i | − | 0.169493i | ||||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 15.8388 | + | 27.4336i | 0.629040 | + | 1.08953i | ||||
\(635\) | −13.3399 | + | 7.70181i | −0.529379 | + | 0.305637i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 3.23525 | + | 1.59158i | 0.128185 | + | 0.0630608i | ||||
\(638\) | 13.8365 | 0.547792 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −0.781779 | − | 1.35408i | −0.0309025 | − | 0.0535247i | ||||
\(641\) | −2.04559 | + | 3.54307i | −0.0807961 | + | 0.139943i | −0.903592 | − | 0.428394i | \(-0.859080\pi\) |
0.822796 | + | 0.568337i | \(0.192413\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 19.2672 | + | 11.1239i | 0.759825 | + | 0.438685i | 0.829233 | − | 0.558903i | \(-0.188778\pi\) |
−0.0694080 | + | 0.997588i | \(0.522111\pi\) | |||||||
\(644\) | −1.44397 | − | 0.833676i | −0.0569003 | − | 0.0328514i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −8.06675 | + | 13.9720i | −0.317382 | + | 0.549722i | ||||
\(647\) | 24.9292 | + | 43.1786i | 0.980066 | + | 1.69752i | 0.662086 | + | 0.749427i | \(0.269671\pi\) |
0.317980 | + | 0.948097i | \(0.396996\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −2.56865 | −0.100828 | ||||||||
\(650\) | 4.06695 | − | 8.26700i | 0.159519 | − | 0.324259i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 0.00848066 | − | 0.00489631i | 0.000332128 | − | 0.000191754i | ||||
\(653\) | 3.70177 | + | 6.41165i | 0.144861 | + | 0.250907i | 0.929321 | − | 0.369272i | \(-0.120393\pi\) |
−0.784460 | + | 0.620180i | \(0.787060\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | − | 23.1286i | − | 0.903709i | ||||||
\(656\) | −6.88896 | − | 3.97734i | −0.268969 | − | 0.155289i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | − | 7.02636i | − | 0.273916i | ||||||
\(659\) | 15.0410 | − | 26.0518i | 0.585914 | − | 1.01483i | −0.408847 | − | 0.912603i | \(-0.634069\pi\) |
0.994761 | − | 0.102230i | \(-0.0325977\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 23.0639 | − | 13.3160i | 0.897082 | − | 0.517931i | 0.0208300 | − | 0.999783i | \(-0.493369\pi\) |
0.876252 | + | 0.481852i | \(0.160036\pi\) | |||||||
\(662\) | −24.6695 | −0.958807 | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −4.94829 | −0.192031 | ||||||||
\(665\) | −9.79815 | + | 5.65696i | −0.379956 | + | 0.219368i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −4.02463 | + | 6.97087i | −0.155834 | + | 0.269913i | ||||
\(668\) | 24.9508i | 0.965376i | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −2.22186 | − | 1.28279i | −0.0858380 | − | 0.0495586i | ||||
\(671\) | − | 40.8623i | − | 1.57747i | ||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −1.84652 | − | 3.19827i | −0.0711783 | − | 0.123284i | 0.828240 | − | 0.560374i | \(-0.189343\pi\) |
−0.899418 | + | 0.437090i | \(0.856009\pi\) | |||||||
\(674\) | 24.3242 | − | 14.0436i | 0.936932 | − | 0.540938i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −7.93372 | − | 10.2984i | −0.305143 | − | 0.396090i | ||||
\(677\) | 35.6533 | 1.37027 | 0.685134 | − | 0.728417i | \(-0.259744\pi\) | ||||
0.685134 | + | 0.728417i | \(0.259744\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 2.44414 | + | 4.23338i | 0.0937976 | + | 0.162462i | ||||
\(680\) | 1.74306 | − | 3.01907i | 0.0668434 | − | 0.115776i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 1.48423 | + | 0.856923i | 0.0568342 | + | 0.0328133i | ||||
\(683\) | 26.2105 | + | 15.1326i | 1.00292 | + | 0.579034i | 0.909110 | − | 0.416557i | \(-0.136763\pi\) |
0.0938062 | + | 0.995590i | \(0.470097\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 0.358834 | − | 0.621519i | 0.0137104 | − | 0.0237470i | ||||
\(686\) | −0.500000 | − | 0.866025i | −0.0190901 | − | 0.0330650i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −10.0914 | −0.384731 | ||||||||
\(689\) | 17.9280 | − | 12.0041i | 0.683004 | − | 0.457320i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 3.03377 | − | 1.75155i | 0.115410 | − | 0.0666320i | −0.441184 | − | 0.897417i | \(-0.645441\pi\) |
0.556594 | + | 0.830785i | \(0.312108\pi\) | |||||||
\(692\) | −1.60275 | − | 2.77604i | −0.0609273 | − | 0.105529i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 10.1080i | 0.383693i | ||||||||
\(695\) | −20.7372 | − | 11.9726i | −0.786608 | − | 0.454148i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | − | 17.7359i | − | 0.671794i | ||||||
\(698\) | −8.69465 | + | 15.0596i | −0.329097 | + | 0.570013i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −2.21294 | + | 1.27764i | −0.0836414 | + | 0.0482904i | ||||
\(701\) | 45.2243 | 1.70810 | 0.854048 | − | 0.520194i | \(-0.174140\pi\) | ||||
0.854048 | + | 0.520194i | \(0.174140\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −0.279047 | −0.0105245 | ||||||||
\(704\) | −2.48215 | + | 1.43307i | −0.0935495 | + | 0.0540108i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −1.66329 | + | 2.88091i | −0.0625989 | + | 0.108424i | ||||
\(707\) | 7.36747i | 0.277082i | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 2.59657 | + | 1.49913i | 0.0975161 | + | 0.0563009i | 0.547965 | − | 0.836501i | \(-0.315403\pi\) |
−0.450449 | + | 0.892802i | \(0.648736\pi\) | |||||||
\(710\) | 3.58784i | 0.134649i | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 1.21060 | + | 2.09682i | 0.0453692 | + | 0.0785817i | ||||
\(713\) | −0.863440 | + | 0.498507i | −0.0323361 | + | 0.0186692i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 14.4984 | + | 7.13248i | 0.542208 | + | 0.266740i | ||||
\(716\) | 15.8000 | 0.590472 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −4.01207 | − | 6.94911i | −0.149729 | − | 0.259339i | ||||
\(719\) | 10.0397 | − | 17.3892i | 0.374417 | − | 0.648509i | −0.615823 | − | 0.787885i | \(-0.711176\pi\) |
0.990240 | + | 0.139376i | \(0.0445096\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 5.01017 | + | 2.89263i | 0.186589 | + | 0.107727i | ||||
\(722\) | 28.8905 | + | 16.6800i | 1.07519 | + | 0.620764i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 4.55954 | − | 7.89735i | 0.169454 | − | 0.293503i | ||||
\(725\) | 6.16792 | + | 10.6832i | 0.229071 | + | 0.396762i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −32.5895 | −1.20868 | −0.604338 | − | 0.796728i | \(-0.706562\pi\) | ||||
−0.604338 | + | 0.796728i | \(0.706562\pi\) | |||||||
\(728\) | 0.239275 | + | 3.59760i | 0.00886811 | + | 0.133336i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 15.2033 | − | 8.77761i | 0.562698 | − | 0.324874i | ||||
\(731\) | −11.2500 | − | 19.4855i | −0.416095 | − | 0.720698i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 18.5190i | 0.684017i | 0.939697 | + | 0.342008i | \(0.111107\pi\) | ||||
−0.939697 | + | 0.342008i | \(0.888893\pi\) | |||||||
\(734\) | −0.899869 | − | 0.519540i | −0.0332148 | − | 0.0191766i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | − | 1.66735i | − | 0.0614594i | ||||||
\(737\) | −2.35147 | + | 4.07287i | −0.0866176 | + | 0.150026i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 13.7968 | − | 7.96559i | 0.507524 | − | 0.293019i | −0.224291 | − | 0.974522i | \(-0.572007\pi\) |
0.731815 | + | 0.681503i | \(0.238673\pi\) | |||||||
\(740\) | 0.0602965 | 0.00221654 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −5.98404 | −0.219681 | ||||||||
\(743\) | −10.5962 | + | 6.11773i | −0.388738 | + | 0.224438i | −0.681613 | − | 0.731713i | \(-0.738721\pi\) |
0.292875 | + | 0.956151i | \(0.405388\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 8.00319 | − | 13.8619i | 0.293214 | − | 0.507862i | ||||
\(746\) | 27.3124i | 0.999979i | ||||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −5.53423 | − | 3.19519i | −0.202351 | − | 0.116828i | ||||
\(749\) | 1.02896i | 0.0375972i | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −10.4107 | − | 18.0318i | −0.379891 | − | 0.657990i | 0.611155 | − | 0.791511i | \(-0.290705\pi\) |
−0.991046 | + | 0.133521i | \(0.957372\pi\) | |||||||
\(752\) | 6.08501 | − | 3.51318i | 0.221897 | − | 0.128113i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 17.3677 | − | 1.15512i | 0.632494 | − | 0.0420669i | ||||
\(755\) | −23.7833 | −0.865563 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −13.5575 | − | 23.4823i | −0.492757 | − | 0.853480i | 0.507208 | − | 0.861824i | \(-0.330678\pi\) |
−0.999965 | + | 0.00834344i | \(0.997344\pi\) | |||||||
\(758\) | −1.10583 | + | 1.91535i | −0.0401655 | + | 0.0695687i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −9.79815 | − | 5.65696i | −0.355416 | − | 0.205200i | ||||
\(761\) | −41.8920 | − | 24.1864i | −1.51858 | − | 0.876755i | −0.999761 | − | 0.0218739i | \(-0.993037\pi\) |
−0.518824 | − | 0.854881i | \(-0.673630\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 7.07674 | − | 12.2573i | 0.256195 | − | 0.443743i | ||||
\(764\) | 1.63068 | + | 2.82443i | 0.0589961 | + | 0.102184i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −22.3386 | −0.807125 | ||||||||
\(767\) | −3.22419 | + | 0.214439i | −0.116419 | + | 0.00774296i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −15.0214 | + | 8.67264i | −0.541687 | + | 0.312743i | −0.745762 | − | 0.666212i | \(-0.767915\pi\) |
0.204075 | + | 0.978955i | \(0.434581\pi\) | |||||||
\(770\) | −2.24069 | − | 3.88098i | −0.0807487 | − | 0.139861i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | − | 22.0730i | − | 0.794426i | ||||||
\(773\) | 12.1659 | + | 7.02398i | 0.437576 | + | 0.252635i | 0.702569 | − | 0.711616i | \(-0.252036\pi\) |
−0.264993 | + | 0.964250i | \(0.585370\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 1.52797i | 0.0548862i | ||||||||
\(776\) | −2.44414 | + | 4.23338i | −0.0877396 | + | 0.151970i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 10.6178 | − | 6.13022i | 0.380668 | − | 0.219779i | ||||
\(779\) | −57.5603 | −2.06231 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 6.57682 | 0.235337 | ||||||||
\(782\) |