Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [700,2,Mod(251,700)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(700, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 0, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("700.251");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 700 = 2^{2} \cdot 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 700.g (of order \(2\), degree \(1\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.58952814149\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 17x^{12} - 104x^{10} + 713x^{8} + 238x^{6} + 1004x^{4} - 152x^{2} + 64 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 2^{10} \) |
Twist minimal: | no (minimal twist has level 140) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 251.8 | ||
Root | \(0.645096 - 0.854135i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 700.251 |
Dual form | 700.2.g.l.251.6 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/700\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(351\) | \(477\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.927153 | + | 1.06789i | −0.655596 | + | 0.755112i | ||||
\(3\) | 0.662153 | 0.382294 | 0.191147 | − | 0.981561i | \(-0.438779\pi\) | ||||
0.191147 | + | 0.981561i | \(0.438779\pi\) | |||||||
\(4\) | −0.280776 | − | 1.98019i | −0.140388 | − | 0.990097i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | −0.613917 | + | 0.707107i | −0.250631 | + | 0.288675i | ||||
\(7\) | 2.35829 | − | 1.19935i | 0.891352 | − | 0.453313i | ||||
\(8\) | 2.37495 | + | 1.53610i | 0.839672 | + | 0.543094i | ||||
\(9\) | −2.56155 | −0.853851 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | − | 3.09218i | − | 0.932326i | −0.884699 | − | 0.466163i | \(-0.845636\pi\) | ||
0.884699 | − | 0.466163i | \(-0.154364\pi\) | |||||||
\(12\) | −0.185917 | − | 1.31119i | −0.0536696 | − | 0.378508i | ||||
\(13\) | − | 4.66988i | − | 1.29519i | −0.761984 | − | 0.647596i | \(-0.775775\pi\) | ||
0.761984 | − | 0.647596i | \(-0.224225\pi\) | |||||||
\(14\) | −0.905722 | + | 3.63038i | −0.242064 | + | 0.970260i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −3.84233 | + | 1.11198i | −0.960582 | + | 0.277996i | ||||
\(17\) | − | 2.04750i | − | 0.496590i | −0.968684 | − | 0.248295i | \(-0.920130\pi\) | ||
0.968684 | − | 0.248295i | \(-0.0798703\pi\) | |||||||
\(18\) | 2.37495 | − | 2.73546i | 0.559781 | − | 0.644753i | ||||
\(19\) | −5.60083 | −1.28492 | −0.642459 | − | 0.766320i | \(-0.722086\pi\) | ||||
−0.642459 | + | 0.766320i | \(0.722086\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 1.56155 | − | 0.794156i | 0.340759 | − | 0.173299i | ||||
\(22\) | 3.30210 | + | 2.86692i | 0.704011 | + | 0.611229i | ||||
\(23\) | 1.87285i | 0.390517i | 0.980752 | + | 0.195258i | \(0.0625545\pi\) | ||||
−0.980752 | + | 0.195258i | \(0.937445\pi\) | |||||||
\(24\) | 1.57258 | + | 1.01714i | 0.321002 | + | 0.207622i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | 4.98691 | + | 4.32969i | 0.978014 | + | 0.849122i | ||||
\(27\) | −3.68260 | −0.708717 | ||||||||
\(28\) | −3.03710 | − | 4.33313i | −0.573959 | − | 0.818884i | ||||
\(29\) | 3.56155 | 0.661364 | 0.330682 | − | 0.943742i | \(-0.392721\pi\) | ||||
0.330682 | + | 0.943742i | \(0.392721\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −8.74599 | −1.57083 | −0.785414 | − | 0.618971i | \(-0.787550\pi\) | ||||
−0.785414 | + | 0.618971i | \(0.787550\pi\) | |||||||
\(32\) | 2.37495 | − | 5.13416i | 0.419836 | − | 0.907600i | ||||
\(33\) | − | 2.04750i | − | 0.356423i | ||||||
\(34\) | 2.18650 | + | 1.89834i | 0.374981 | + | 0.325563i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 0.719224 | + | 5.07237i | 0.119871 | + | 0.845395i | ||||
\(37\) | 3.70861 | 0.609692 | 0.304846 | − | 0.952402i | \(-0.401395\pi\) | ||||
0.304846 | + | 0.952402i | \(0.401395\pi\) | |||||||
\(38\) | 5.19283 | − | 5.98107i | 0.842388 | − | 0.970258i | ||||
\(39\) | − | 3.09218i | − | 0.495144i | ||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | − | 8.48528i | − | 1.32518i | −0.748983 | − | 0.662589i | \(-0.769458\pi\) | ||
0.748983 | − | 0.662589i | \(-0.230542\pi\) | |||||||
\(42\) | −0.599727 | + | 2.40387i | −0.0925399 | + | 0.370925i | ||||
\(43\) | − | 4.27156i | − | 0.651407i | −0.945472 | − | 0.325703i | \(-0.894399\pi\) | ||
0.945472 | − | 0.325703i | \(-0.105601\pi\) | |||||||
\(44\) | −6.12311 | + | 0.868210i | −0.923093 | + | 0.130888i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −2.00000 | − | 1.73642i | −0.294884 | − | 0.256021i | ||||
\(47\) | 0.290319 | 0.0423474 | 0.0211737 | − | 0.999776i | \(-0.493260\pi\) | ||||
0.0211737 | + | 0.999776i | \(0.493260\pi\) | |||||||
\(48\) | −2.54421 | + | 0.736303i | −0.367225 | + | 0.106276i | ||||
\(49\) | 4.12311 | − | 5.65685i | 0.589015 | − | 0.808122i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | − | 1.35576i | − | 0.189844i | ||||||
\(52\) | −9.24726 | + | 1.31119i | −1.28236 | + | 0.181830i | ||||
\(53\) | 9.49980 | 1.30490 | 0.652449 | − | 0.757833i | \(-0.273742\pi\) | ||||
0.652449 | + | 0.757833i | \(0.273742\pi\) | |||||||
\(54\) | 3.41433 | − | 3.93261i | 0.464632 | − | 0.535161i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 7.44316 | + | 0.774180i | 0.994634 | + | 0.103454i | ||||
\(57\) | −3.70861 | −0.491217 | ||||||||
\(58\) | −3.30210 | + | 3.80335i | −0.433587 | + | 0.499404i | ||||
\(59\) | 8.05650 | 1.04887 | 0.524434 | − | 0.851451i | \(-0.324277\pi\) | ||||
0.524434 | + | 0.851451i | \(0.324277\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | − | 6.45101i | − | 0.825967i | −0.910738 | − | 0.412984i | \(-0.864487\pi\) | ||
0.910738 | − | 0.412984i | \(-0.135513\pi\) | |||||||
\(62\) | 8.10887 | − | 9.33976i | 1.02983 | − | 1.18615i | ||||
\(63\) | −6.04090 | + | 3.07221i | −0.761081 | + | 0.387062i | ||||
\(64\) | 3.28078 | + | 7.29634i | 0.410097 | + | 0.912042i | ||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 2.18650 | + | 1.89834i | 0.269139 | + | 0.233670i | ||||
\(67\) | 2.39871i | 0.293049i | 0.989207 | + | 0.146524i | \(0.0468086\pi\) | ||||
−0.989207 | + | 0.146524i | \(0.953191\pi\) | |||||||
\(68\) | −4.05444 | + | 0.574888i | −0.491673 | + | 0.0697154i | ||||
\(69\) | 1.24012i | 0.149292i | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 9.65719i | 1.14610i | 0.819521 | + | 0.573049i | \(0.194240\pi\) | ||||
−0.819521 | + | 0.573049i | \(0.805760\pi\) | |||||||
\(72\) | −6.08356 | − | 3.93481i | −0.716954 | − | 0.463722i | ||||
\(73\) | 4.09499i | 0.479282i | 0.970862 | + | 0.239641i | \(0.0770298\pi\) | ||||
−0.970862 | + | 0.239641i | \(0.922970\pi\) | |||||||
\(74\) | −3.43845 | + | 3.96039i | −0.399711 | + | 0.460386i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 1.57258 | + | 11.0907i | 0.180387 | + | 1.27219i | ||||
\(77\) | −3.70861 | − | 7.29226i | −0.422635 | − | 0.831030i | ||||
\(78\) | 3.30210 | + | 2.86692i | 0.373890 | + | 0.324615i | ||||
\(79\) | − | 1.35576i | − | 0.152534i | −0.997087 | − | 0.0762672i | \(-0.975700\pi\) | ||
0.997087 | − | 0.0762672i | \(-0.0243002\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 5.24621 | 0.582912 | ||||||||
\(82\) | 9.06134 | + | 7.86715i | 1.00066 | + | 0.868781i | ||||
\(83\) | 12.4536 | 1.36696 | 0.683482 | − | 0.729968i | \(-0.260465\pi\) | ||||
0.683482 | + | 0.729968i | \(0.260465\pi\) | |||||||
\(84\) | −2.01103 | − | 2.86920i | −0.219421 | − | 0.313055i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | 4.56155 | + | 3.96039i | 0.491885 | + | 0.427059i | ||||
\(87\) | 2.35829 | 0.252836 | ||||||||
\(88\) | 4.74990 | − | 7.34376i | 0.506341 | − | 0.782848i | ||||
\(89\) | − | 2.82843i | − | 0.299813i | −0.988700 | − | 0.149906i | \(-0.952103\pi\) | ||
0.988700 | − | 0.149906i | \(-0.0478972\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −5.60083 | − | 11.0129i | −0.587127 | − | 1.15447i | ||||
\(92\) | 3.70861 | − | 0.525853i | 0.386649 | − | 0.0548240i | ||||
\(93\) | −5.79119 | −0.600518 | ||||||||
\(94\) | −0.269170 | + | 0.310029i | −0.0277628 | + | 0.0319770i | ||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 1.57258 | − | 3.39960i | 0.160501 | − | 0.346970i | ||||
\(97\) | 6.14249i | 0.623675i | 0.950135 | + | 0.311837i | \(0.100944\pi\) | ||||
−0.950135 | + | 0.311837i | \(0.899056\pi\) | |||||||
\(98\) | 2.21815 | + | 9.64779i | 0.224067 | + | 0.974574i | ||||
\(99\) | 7.92077i | 0.796068i | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | − | 2.38247i | − | 0.237064i | −0.992950 | − | 0.118532i | \(-0.962181\pi\) | ||
0.992950 | − | 0.118532i | \(-0.0378189\pi\) | |||||||
\(102\) | 1.44780 | + | 1.25699i | 0.143353 | + | 0.124461i | ||||
\(103\) | −1.03399 | −0.101882 | −0.0509409 | − | 0.998702i | \(-0.516222\pi\) | ||||
−0.0509409 | + | 0.998702i | \(0.516222\pi\) | |||||||
\(104\) | 7.17341 | − | 11.0907i | 0.703411 | − | 1.08754i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −8.80776 | + | 10.1447i | −0.855486 | + | 0.985344i | ||||
\(107\) | 14.6875i | 1.41990i | 0.704254 | + | 0.709948i | \(0.251282\pi\) | ||||
−0.704254 | + | 0.709948i | \(0.748718\pi\) | |||||||
\(108\) | 1.03399 | + | 7.29226i | 0.0994955 | + | 0.701698i | ||||
\(109\) | −0.438447 | −0.0419956 | −0.0209978 | − | 0.999780i | \(-0.506684\pi\) | ||||
−0.0209978 | + | 0.999780i | \(0.506684\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 2.45567 | 0.233082 | ||||||||
\(112\) | −7.72768 | + | 7.23069i | −0.730197 | + | 0.683236i | ||||
\(113\) | −3.70861 | −0.348877 | −0.174438 | − | 0.984668i | \(-0.555811\pi\) | ||||
−0.174438 | + | 0.984668i | \(0.555811\pi\) | |||||||
\(114\) | 3.43845 | − | 3.96039i | 0.322040 | − | 0.370924i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | −1.00000 | − | 7.05256i | −0.0928477 | − | 0.654814i | ||||
\(117\) | 11.9621i | 1.10590i | ||||||||
\(118\) | −7.46960 | + | 8.60345i | −0.687633 | + | 0.792012i | ||||
\(119\) | −2.45567 | − | 4.82860i | −0.225111 | − | 0.442637i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 1.43845 | 0.130768 | ||||||||
\(122\) | 6.88897 | + | 5.98107i | 0.623698 | + | 0.541501i | ||||
\(123\) | − | 5.61856i | − | 0.506608i | ||||||
\(124\) | 2.45567 | + | 17.3188i | 0.220526 | + | 1.55527i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | 2.32006 | − | 9.29941i | 0.206687 | − | 0.828458i | ||||
\(127\) | − | 17.0862i | − | 1.51616i | −0.652163 | − | 0.758079i | \(-0.726138\pi\) | ||
0.652163 | − | 0.758079i | \(-0.273862\pi\) | |||||||
\(128\) | −10.8335 | − | 3.26131i | −0.957552 | − | 0.288262i | ||||
\(129\) | − | 2.82843i | − | 0.249029i | ||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −5.60083 | −0.489347 | −0.244673 | − | 0.969606i | \(-0.578681\pi\) | ||||
−0.244673 | + | 0.969606i | \(0.578681\pi\) | |||||||
\(132\) | −4.05444 | + | 0.574888i | −0.352893 | + | 0.0500376i | ||||
\(133\) | −13.2084 | + | 6.71737i | −1.14531 | + | 0.582470i | ||||
\(134\) | −2.56155 | − | 2.22397i | −0.221284 | − | 0.192121i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 3.14516 | − | 4.86270i | 0.269695 | − | 0.416973i | ||||
\(137\) | 13.2084 | 1.12847 | 0.564235 | − | 0.825614i | \(-0.309171\pi\) | ||||
0.564235 | + | 0.825614i | \(0.309171\pi\) | |||||||
\(138\) | −1.32431 | − | 1.14978i | −0.112732 | − | 0.0978755i | ||||
\(139\) | −14.3468 | −1.21688 | −0.608441 | − | 0.793599i | \(-0.708205\pi\) | ||||
−0.608441 | + | 0.793599i | \(0.708205\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0.192236 | 0.0161892 | ||||||||
\(142\) | −10.3128 | − | 8.95369i | −0.865432 | − | 0.751377i | ||||
\(143\) | −14.4401 | −1.20754 | ||||||||
\(144\) | 9.84233 | − | 2.84840i | 0.820194 | − | 0.237367i | ||||
\(145\) | 0 | 0 | ||||||||
\(146\) | −4.37300 | − | 3.79668i | −0.361912 | − | 0.314216i | ||||
\(147\) | 2.73013 | − | 3.74571i | 0.225177 | − | 0.308941i | ||||
\(148\) | −1.04129 | − | 7.34376i | −0.0855935 | − | 0.603654i | ||||
\(149\) | 2.00000 | 0.163846 | 0.0819232 | − | 0.996639i | \(-0.473894\pi\) | ||||
0.0819232 | + | 0.996639i | \(0.473894\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | − | 18.9337i | − | 1.54080i | −0.637558 | − | 0.770402i | \(-0.720055\pi\) | ||
0.637558 | − | 0.770402i | \(-0.279945\pi\) | |||||||
\(152\) | −13.3017 | − | 8.60345i | −1.07891 | − | 0.697832i | ||||
\(153\) | 5.24477i | 0.424014i | ||||||||
\(154\) | 11.2258 | + | 2.80065i | 0.904599 | + | 0.225683i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | −6.12311 | + | 0.868210i | −0.490241 | + | 0.0695124i | ||||
\(157\) | − | 2.62238i | − | 0.209289i | −0.994510 | − | 0.104644i | \(-0.966630\pi\) | ||
0.994510 | − | 0.104644i | \(-0.0333705\pi\) | |||||||
\(158\) | 1.44780 | + | 1.25699i | 0.115181 | + | 0.100001i | ||||
\(159\) | 6.29033 | 0.498855 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 2.24621 | + | 4.41674i | 0.177026 | + | 0.348088i | ||||
\(162\) | −4.86404 | + | 5.60237i | −0.382155 | + | 0.440164i | ||||
\(163\) | 15.7392i | 1.23279i | 0.787436 | + | 0.616396i | \(0.211408\pi\) | ||||
−0.787436 | + | 0.616396i | \(0.788592\pi\) | |||||||
\(164\) | −16.8025 | + | 2.38247i | −1.31205 | + | 0.186039i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −11.5464 | + | 13.2991i | −0.896175 | + | 1.03221i | ||||
\(167\) | −8.39919 | −0.649949 | −0.324974 | − | 0.945723i | \(-0.605356\pi\) | ||||
−0.324974 | + | 0.945723i | \(0.605356\pi\) | |||||||
\(168\) | 4.92851 | + | 0.512626i | 0.380243 | + | 0.0395499i | ||||
\(169\) | −8.80776 | −0.677520 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 14.3468 | 1.09713 | ||||||||
\(172\) | −8.45851 | + | 1.19935i | −0.644955 | + | 0.0914498i | ||||
\(173\) | 8.76487i | 0.666381i | 0.942860 | + | 0.333190i | \(0.108125\pi\) | ||||
−0.942860 | + | 0.333190i | \(0.891875\pi\) | |||||||
\(174\) | −2.18650 | + | 2.51840i | −0.165758 | + | 0.190919i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 3.43845 | + | 11.8812i | 0.259183 | + | 0.895576i | ||||
\(177\) | 5.33464 | 0.400976 | ||||||||
\(178\) | 3.02045 | + | 2.62238i | 0.226392 | + | 0.196556i | ||||
\(179\) | − | 1.73642i | − | 0.129786i | −0.997892 | − | 0.0648931i | \(-0.979329\pi\) | ||
0.997892 | − | 0.0648931i | \(-0.0206706\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 9.27944i | 0.689735i | 0.938651 | + | 0.344868i | \(0.112076\pi\) | ||||
−0.938651 | + | 0.344868i | \(0.887924\pi\) | |||||||
\(182\) | 16.9534 | + | 4.22961i | 1.25667 | + | 0.313520i | ||||
\(183\) | − | 4.27156i | − | 0.315763i | ||||||
\(184\) | −2.87689 | + | 4.44793i | −0.212087 | + | 0.327906i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | 5.36932 | − | 6.18435i | 0.393697 | − | 0.453459i | ||||
\(187\) | −6.33122 | −0.462984 | ||||||||
\(188\) | −0.0815148 | − | 0.574888i | −0.00594508 | − | 0.0419280i | ||||
\(189\) | −8.68466 | + | 4.41674i | −0.631716 | + | 0.321270i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 13.7245i | 0.993067i | 0.868018 | + | 0.496534i | \(0.165394\pi\) | ||||
−0.868018 | + | 0.496534i | \(0.834606\pi\) | |||||||
\(192\) | 2.17238 | + | 4.83129i | 0.156778 | + | 0.348669i | ||||
\(193\) | 3.70861 | 0.266952 | 0.133476 | − | 0.991052i | \(-0.457386\pi\) | ||||
0.133476 | + | 0.991052i | \(0.457386\pi\) | |||||||
\(194\) | −6.55950 | − | 5.69502i | −0.470944 | − | 0.408879i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −12.3593 | − | 6.57623i | −0.882810 | − | 0.469731i | ||||
\(197\) | −11.1258 | −0.792683 | −0.396341 | − | 0.918103i | \(-0.629720\pi\) | ||||
−0.396341 | + | 0.918103i | \(0.629720\pi\) | |||||||
\(198\) | −8.45851 | − | 7.34376i | −0.601120 | − | 0.521899i | ||||
\(199\) | −6.29033 | −0.445909 | −0.222955 | − | 0.974829i | \(-0.571570\pi\) | ||||
−0.222955 | + | 0.974829i | \(0.571570\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 1.58831i | 0.112031i | ||||||||
\(202\) | 2.54421 | + | 2.20891i | 0.179010 | + | 0.155418i | ||||
\(203\) | 8.39919 | − | 4.27156i | 0.589508 | − | 0.299805i | ||||
\(204\) | −2.68466 | + | 0.380664i | −0.187964 | + | 0.0266518i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | 0.958664 | − | 1.10418i | 0.0667933 | − | 0.0769322i | ||||
\(207\) | − | 4.79741i | − | 0.333443i | ||||||
\(208\) | 5.19283 | + | 17.9432i | 0.360058 | + | 1.24414i | ||||
\(209\) | 17.3188i | 1.19796i | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 25.1181i | 1.72920i | 0.502461 | + | 0.864600i | \(0.332428\pi\) | ||||
−0.502461 | + | 0.864600i | \(0.667572\pi\) | |||||||
\(212\) | −2.66732 | − | 18.8114i | −0.183192 | − | 1.29197i | ||||
\(213\) | 6.39454i | 0.438147i | ||||||||
\(214\) | −15.6847 | − | 13.6176i | −1.07218 | − | 0.930879i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | −8.74599 | − | 5.65685i | −0.595090 | − | 0.384900i | ||||
\(217\) | −20.6256 | + | 10.4895i | −1.40016 | + | 0.712076i | ||||
\(218\) | 0.406507 | − | 0.468213i | 0.0275322 | − | 0.0317114i | ||||
\(219\) | 2.71151i | 0.183227i | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −9.56155 | −0.643180 | ||||||||
\(222\) | −2.27678 | + | 2.62238i | −0.152807 | + | 0.176003i | ||||
\(223\) | −19.1567 | −1.28283 | −0.641413 | − | 0.767196i | \(-0.721651\pi\) | ||||
−0.641413 | + | 0.767196i | \(0.721651\pi\) | |||||||
\(224\) | −0.556839 | − | 14.9563i | −0.0372054 | − | 0.999308i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 3.43845 | − | 3.96039i | 0.228722 | − | 0.263441i | ||||
\(227\) | 14.0683 | 0.933743 | 0.466871 | − | 0.884325i | \(-0.345381\pi\) | ||||
0.466871 | + | 0.884325i | \(0.345381\pi\) | |||||||
\(228\) | 1.04129 | + | 7.34376i | 0.0689611 | + | 0.486353i | ||||
\(229\) | − | 8.03932i | − | 0.531253i | −0.964076 | − | 0.265627i | \(-0.914421\pi\) | ||
0.964076 | − | 0.265627i | \(-0.0855788\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −2.45567 | − | 4.82860i | −0.161571 | − | 0.317698i | ||||
\(232\) | 8.45851 | + | 5.47091i | 0.555328 | + | 0.359183i | ||||
\(233\) | 7.41722 | 0.485918 | 0.242959 | − | 0.970037i | \(-0.421882\pi\) | ||||
0.242959 | + | 0.970037i | \(0.421882\pi\) | |||||||
\(234\) | −12.7742 | − | 11.0907i | −0.835079 | − | 0.725024i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | −2.26208 | − | 15.9534i | −0.147249 | − | 1.03848i | ||||
\(237\) | − | 0.897718i | − | 0.0583131i | ||||||
\(238\) | 7.43319 | + | 1.85446i | 0.481822 | + | 0.120207i | ||||
\(239\) | 3.09218i | 0.200016i | 0.994987 | + | 0.100008i | \(0.0318869\pi\) | ||||
−0.994987 | + | 0.100008i | \(0.968113\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 18.9071i | 1.21791i | 0.793204 | + | 0.608956i | \(0.208411\pi\) | ||||
−0.793204 | + | 0.608956i | \(0.791589\pi\) | |||||||
\(242\) | −1.33366 | + | 1.53610i | −0.0857309 | + | 0.0987444i | ||||
\(243\) | 14.5216 | 0.931561 | ||||||||
\(244\) | −12.7742 | + | 1.81129i | −0.817787 | + | 0.115956i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 6.00000 | + | 5.20926i | 0.382546 | + | 0.332130i | ||||
\(247\) | 26.1552i | 1.66422i | ||||||||
\(248\) | −20.7713 | − | 13.4347i | −1.31898 | − | 0.853107i | ||||
\(249\) | 8.24621 | 0.522582 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 3.14516 | 0.198521 | 0.0992605 | − | 0.995061i | \(-0.468352\pi\) | ||||
0.0992605 | + | 0.995061i | \(0.468352\pi\) | |||||||
\(252\) | 7.77970 | + | 11.0995i | 0.490075 | + | 0.699205i | ||||
\(253\) | 5.79119 | 0.364089 | ||||||||
\(254\) | 18.2462 | + | 15.8415i | 1.14487 | + | 0.993987i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 13.5270 | − | 8.54521i | 0.845437 | − | 0.534076i | ||||
\(257\) | − | 28.0193i | − | 1.74779i | −0.486111 | − | 0.873897i | \(-0.661585\pi\) | ||
0.486111 | − | 0.873897i | \(-0.338415\pi\) | |||||||
\(258\) | 3.02045 | + | 2.62238i | 0.188045 | + | 0.163262i | ||||
\(259\) | 8.74599 | − | 4.44793i | 0.543450 | − | 0.276381i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −9.12311 | −0.564706 | ||||||||
\(262\) | 5.19283 | − | 5.98107i | 0.320814 | − | 0.369512i | ||||
\(263\) | − | 11.9935i | − | 0.739553i | −0.929121 | − | 0.369776i | \(-0.879434\pi\) | ||
0.929121 | − | 0.369776i | \(-0.120566\pi\) | |||||||
\(264\) | 3.14516 | − | 4.86270i | 0.193571 | − | 0.299278i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | 5.07280 | − | 20.3332i | 0.311033 | − | 1.24671i | ||||
\(267\) | − | 1.87285i | − | 0.114617i | ||||||
\(268\) | 4.74990 | − | 0.673500i | 0.290146 | − | 0.0411406i | ||||
\(269\) | 16.5246i | 1.00752i | 0.863843 | + | 0.503761i | \(0.168051\pi\) | ||||
−0.863843 | + | 0.503761i | \(0.831949\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 8.74599 | 0.531281 | 0.265641 | − | 0.964072i | \(-0.414417\pi\) | ||||
0.265641 | + | 0.964072i | \(0.414417\pi\) | |||||||
\(272\) | 2.27678 | + | 7.86715i | 0.138050 | + | 0.477016i | ||||
\(273\) | −3.70861 | − | 7.29226i | −0.224455 | − | 0.441348i | ||||
\(274\) | −12.2462 | + | 14.1051i | −0.739821 | + | 0.852122i | ||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 2.45567 | − | 0.348195i | 0.147814 | − | 0.0209589i | ||||
\(277\) | −2.08258 | −0.125130 | −0.0625651 | − | 0.998041i | \(-0.519928\pi\) | ||||
−0.0625651 | + | 0.998041i | \(0.519928\pi\) | |||||||
\(278\) | 13.3017 | − | 15.3208i | 0.797783 | − | 0.918882i | ||||
\(279\) | 22.4033 | 1.34125 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −20.0540 | −1.19632 | −0.598160 | − | 0.801377i | \(-0.704101\pi\) | ||||
−0.598160 | + | 0.801377i | \(0.704101\pi\) | |||||||
\(282\) | −0.178232 | + | 0.205287i | −0.0106136 | + | 0.0122246i | ||||
\(283\) | 19.5285 | 1.16085 | 0.580425 | − | 0.814314i | \(-0.302887\pi\) | ||||
0.580425 | + | 0.814314i | \(0.302887\pi\) | |||||||
\(284\) | 19.1231 | − | 2.71151i | 1.13475 | − | 0.160899i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 13.3882 | − | 15.4204i | 0.791659 | − | 0.911828i | ||||
\(287\) | −10.1768 | − | 20.0108i | −0.600720 | − | 1.18120i | ||||
\(288\) | −6.08356 | + | 13.1514i | −0.358477 | + | 0.774955i | ||||
\(289\) | 12.8078 | 0.753398 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 4.06727i | 0.238427i | ||||||||
\(292\) | 8.10887 | − | 1.14978i | 0.474536 | − | 0.0672856i | ||||
\(293\) | − | 15.1594i | − | 0.885622i | −0.896615 | − | 0.442811i | \(-0.853981\pi\) | ||
0.896615 | − | 0.442811i | \(-0.146019\pi\) | |||||||
\(294\) | 1.46875 | + | 6.38832i | 0.0856595 | + | 0.372574i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | 8.80776 | + | 5.69681i | 0.511941 | + | 0.331120i | ||||
\(297\) | 11.3873i | 0.660755i | ||||||||
\(298\) | −1.85431 | + | 2.13578i | −0.107417 | + | 0.123722i | ||||
\(299\) | 8.74599 | 0.505794 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −5.12311 | − | 10.0736i | −0.295291 | − | 0.580632i | ||||
\(302\) | 20.2191 | + | 17.5544i | 1.16348 | + | 1.01014i | ||||
\(303\) | − | 1.57756i | − | 0.0906284i | ||||||
\(304\) | 21.5202 | − | 6.22803i | 1.23427 | − | 0.357202i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | −5.60083 | − | 4.86270i | −0.320178 | − | 0.277982i | ||||
\(307\) | 26.1500 | 1.49246 | 0.746231 | − | 0.665687i | \(-0.231861\pi\) | ||||
0.746231 | + | 0.665687i | \(0.231861\pi\) | |||||||
\(308\) | −13.3988 | + | 9.39126i | −0.763467 | + | 0.535117i | ||||
\(309\) | −0.684658 | −0.0389489 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 19.9477 | 1.13113 | 0.565564 | − | 0.824704i | \(-0.308659\pi\) | ||||
0.565564 | + | 0.824704i | \(0.308659\pi\) | |||||||
\(312\) | 4.74990 | − | 7.34376i | 0.268910 | − | 0.415759i | ||||
\(313\) | − | 11.3873i | − | 0.643646i | −0.946800 | − | 0.321823i | \(-0.895704\pi\) | ||
0.946800 | − | 0.321823i | \(-0.104296\pi\) | |||||||
\(314\) | 2.80042 | + | 2.43135i | 0.158037 | + | 0.137209i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −2.68466 | + | 0.380664i | −0.151024 | + | 0.0214140i | ||||
\(317\) | 31.7515 | 1.78334 | 0.891670 | − | 0.452686i | \(-0.149534\pi\) | ||||
0.891670 | + | 0.452686i | \(0.149534\pi\) | |||||||
\(318\) | −5.83209 | + | 6.71737i | −0.327047 | + | 0.376692i | ||||
\(319\) | − | 11.0129i | − | 0.616607i | ||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 9.72540i | 0.542819i | ||||||||
\(322\) | −6.79917 | − | 1.69628i | −0.378903 | − | 0.0945302i | ||||
\(323\) | 11.4677i | 0.638079i | ||||||||
\(324\) | −1.47301 | − | 10.3885i | −0.0818340 | − | 0.577140i | ||||
\(325\) | 0 | 0 | ||||||||
\(326\) | −16.8078 | − | 14.5927i | −0.930896 | − | 0.808213i | ||||
\(327\) | −0.290319 | −0.0160547 | ||||||||
\(328\) | 13.0343 | − | 20.1521i | 0.719697 | − | 1.11271i | ||||
\(329\) | 0.684658 | − | 0.348195i | 0.0377464 | − | 0.0191966i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 1.73642i | 0.0954423i | 0.998861 | + | 0.0477211i | \(0.0151959\pi\) | ||||
−0.998861 | + | 0.0477211i | \(0.984804\pi\) | |||||||
\(332\) | −3.49668 | − | 24.6606i | −0.191905 | − | 1.35343i | ||||
\(333\) | −9.49980 | −0.520586 | ||||||||
\(334\) | 7.78733 | − | 8.96941i | 0.426104 | − | 0.490784i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | −5.11691 | + | 4.78783i | −0.279150 | + | 0.261197i | ||||
\(337\) | −5.33464 | −0.290596 | −0.145298 | − | 0.989388i | \(-0.546414\pi\) | ||||
−0.145298 | + | 0.989388i | \(0.546414\pi\) | |||||||
\(338\) | 8.16614 | − | 9.40572i | 0.444179 | − | 0.511604i | ||||
\(339\) | −2.45567 | −0.133374 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 27.0442i | 1.46452i | ||||||||
\(342\) | −13.3017 | + | 15.3208i | −0.719273 | + | 0.828455i | ||||
\(343\) | 2.93893 | − | 18.2856i | 0.158687 | − | 0.987329i | ||||
\(344\) | 6.56155 | − | 10.1447i | 0.353775 | − | 0.546968i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −9.35991 | − | 8.12637i | −0.503192 | − | 0.436876i | ||||
\(347\) | 4.27156i | 0.229309i | 0.993405 | + | 0.114655i | \(0.0365761\pi\) | ||||
−0.993405 | + | 0.114655i | \(0.963424\pi\) | |||||||
\(348\) | −0.662153 | − | 4.66988i | −0.0354952 | − | 0.250332i | ||||
\(349\) | − | 36.3236i | − | 1.94436i | −0.234241 | − | 0.972179i | \(-0.575260\pi\) | ||
0.234241 | − | 0.972179i | \(-0.424740\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 17.1973i | 0.917924i | ||||||||
\(352\) | −15.8757 | − | 7.34376i | −0.846179 | − | 0.391424i | ||||
\(353\) | − | 27.1216i | − | 1.44353i | −0.692136 | − | 0.721767i | \(-0.743330\pi\) | ||
0.692136 | − | 0.721767i | \(-0.256670\pi\) | |||||||
\(354\) | −4.94602 | + | 5.69681i | −0.262878 | + | 0.302782i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | −5.60083 | + | 0.794156i | −0.296843 | + | 0.0420902i | ||||
\(357\) | −1.62603 | − | 3.19727i | −0.0860586 | − | 0.169218i | ||||
\(358\) | 1.85431 | + | 1.60993i | 0.0980031 | + | 0.0850873i | ||||
\(359\) | 26.4738i | 1.39724i | 0.715495 | + | 0.698618i | \(0.246201\pi\) | ||||
−0.715495 | + | 0.698618i | \(0.753799\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 12.3693 | 0.651017 | ||||||||
\(362\) | −9.90941 | − | 8.60345i | −0.520827 | − | 0.452187i | ||||
\(363\) | 0.952473 | 0.0499919 | ||||||||
\(364\) | −20.2352 | + | 14.1829i | −1.06061 | + | 0.743386i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | 4.56155 | + | 3.96039i | 0.238436 | + | 0.207013i | ||||
\(367\) | −31.8191 | −1.66094 | −0.830472 | − | 0.557061i | \(-0.811929\pi\) | ||||
−0.830472 | + | 0.557061i | \(0.811929\pi\) | |||||||
\(368\) | −2.08258 | − | 7.19612i | −0.108562 | − | 0.375124i | ||||
\(369\) | 21.7355i | 1.13150i | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 22.4033 | − | 11.3936i | 1.16312 | − | 0.591527i | ||||
\(372\) | 1.62603 | + | 11.4677i | 0.0843057 | + | 0.594571i | ||||
\(373\) | 22.7082 | 1.17579 | 0.587893 | − | 0.808938i | \(-0.299957\pi\) | ||||
0.587893 | + | 0.808938i | \(0.299957\pi\) | |||||||
\(374\) | 5.87000 | − | 6.76104i | 0.303531 | − | 0.349605i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 0.689494 | + | 0.445960i | 0.0355579 | + | 0.0229986i | ||||
\(377\) | − | 16.6320i | − | 0.856593i | ||||||
\(378\) | 3.33541 | − | 13.3692i | 0.171555 | − | 0.687640i | ||||
\(379\) | 5.20926i | 0.267582i | 0.991010 | + | 0.133791i | \(0.0427150\pi\) | ||||
−0.991010 | + | 0.133791i | \(0.957285\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | − | 11.3137i | − | 0.579619i | ||||||
\(382\) | −14.6562 | − | 12.7247i | −0.749877 | − | 0.651051i | ||||
\(383\) | −26.9752 | −1.37837 | −0.689185 | − | 0.724586i | \(-0.742031\pi\) | ||||
−0.689185 | + | 0.724586i | \(0.742031\pi\) | |||||||
\(384\) | −7.17341 | − | 2.15949i | −0.366067 | − | 0.110201i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −3.43845 | + | 3.96039i | −0.175012 | + | 0.201578i | ||||
\(387\) | 10.9418i | 0.556204i | ||||||||
\(388\) | 12.1633 | − | 1.72466i | 0.617498 | − | 0.0875566i | ||||
\(389\) | −16.9309 | −0.858429 | −0.429215 | − | 0.903203i | \(-0.641210\pi\) | ||||
−0.429215 | + | 0.903203i | \(0.641210\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 3.83466 | 0.193927 | ||||||||
\(392\) | 18.4817 | − | 7.10123i | 0.933466 | − | 0.358666i | ||||
\(393\) | −3.70861 | −0.187075 | ||||||||
\(394\) | 10.3153 | − | 11.8812i | 0.519679 | − | 0.598564i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | 15.6847 | − | 2.22397i | 0.788184 | − | 0.111758i | ||||
\(397\) | 12.8599i | 0.645418i | 0.946498 | + | 0.322709i | \(0.104593\pi\) | ||||
−0.946498 | + | 0.322709i | \(0.895407\pi\) | |||||||
\(398\) | 5.83209 | − | 6.71737i | 0.292336 | − | 0.336712i | ||||
\(399\) | −8.74599 | + | 4.44793i | −0.437847 | + | 0.222675i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 17.5616 | 0.876982 | 0.438491 | − | 0.898736i | \(-0.355513\pi\) | ||||
0.438491 | + | 0.898736i | \(0.355513\pi\) | |||||||
\(402\) | −1.69614 | − | 1.47261i | −0.0845958 | − | 0.0734469i | ||||
\(403\) | 40.8427i | 2.03452i | ||||||||
\(404\) | −4.71774 | + | 0.668940i | −0.234717 | + | 0.0332810i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −3.22578 | + | 12.9298i | −0.160093 | + | 0.641695i | ||||
\(407\) | − | 11.4677i | − | 0.568432i | ||||||
\(408\) | 2.08258 | − | 3.21985i | 0.103103 | − | 0.159406i | ||||
\(409\) | − | 4.76493i | − | 0.235611i | −0.993037 | − | 0.117805i | \(-0.962414\pi\) | ||
0.993037 | − | 0.117805i | \(-0.0375859\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 8.74599 | 0.431408 | ||||||||
\(412\) | 0.290319 | + | 2.04750i | 0.0143030 | + | 0.100873i | ||||
\(413\) | 18.9996 | − | 9.66259i | 0.934909 | − | 0.475465i | ||||
\(414\) | 5.12311 | + | 4.44793i | 0.251787 | + | 0.218604i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | −23.9759 | − | 11.0907i | −1.17552 | − | 0.543768i | ||||
\(417\) | −9.49980 | −0.465207 | ||||||||
\(418\) | −18.4945 | − | 16.0571i | −0.904597 | − | 0.785380i | ||||
\(419\) | 20.6372 | 1.00819 | 0.504095 | − | 0.863648i | \(-0.331826\pi\) | ||||
0.504095 | + | 0.863648i | \(0.331826\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 8.43845 | 0.411265 | 0.205632 | − | 0.978629i | \(-0.434075\pi\) | ||||
0.205632 | + | 0.978629i | \(0.434075\pi\) | |||||||
\(422\) | −26.8233 | − | 23.2883i | −1.30574 | − | 1.13366i | ||||
\(423\) | −0.743668 | −0.0361584 | ||||||||
\(424\) | 22.5616 | + | 14.5927i | 1.09569 | + | 0.708683i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | −6.82867 | − | 5.92872i | −0.330850 | − | 0.287247i | ||||
\(427\) | −7.73704 | − | 15.2134i | −0.374421 | − | 0.736227i | ||||
\(428\) | 29.0841 | − | 4.12391i | 1.40584 | − | 0.199337i | ||||
\(429\) | −9.56155 | −0.461636 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | − | 15.4609i | − | 0.744724i | −0.928087 | − | 0.372362i | \(-0.878548\pi\) | ||
0.928087 | − | 0.372362i | \(-0.121452\pi\) | |||||||
\(432\) | 14.1498 | − | 4.09499i | 0.680781 | − | 0.197020i | ||||
\(433\) | 38.5088i | 1.85062i | 0.379218 | + | 0.925308i | \(0.376193\pi\) | ||||
−0.379218 | + | 0.925308i | \(0.623807\pi\) | |||||||
\(434\) | 7.92144 | − | 31.7513i | 0.380241 | − | 1.52411i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 0.123106 | + | 0.868210i | 0.00589569 | + | 0.0415797i | ||||
\(437\) | − | 10.4895i | − | 0.501782i | ||||||
\(438\) | −2.89560 | − | 2.51398i | −0.138357 | − | 0.120123i | ||||
\(439\) | −23.7823 | −1.13507 | −0.567534 | − | 0.823350i | \(-0.692102\pi\) | ||||
−0.567534 | + | 0.823350i | \(0.692102\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −10.5616 | + | 14.4903i | −0.502931 | + | 0.690016i | ||||
\(442\) | 8.86502 | − | 10.2107i | 0.421666 | − | 0.485673i | ||||
\(443\) | 13.8664i | 0.658812i | 0.944188 | + | 0.329406i | \(0.106848\pi\) | ||||
−0.944188 | + | 0.329406i | \(0.893152\pi\) | |||||||
\(444\) | −0.689494 | − | 4.86270i | −0.0327219 | − | 0.230773i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | 17.7612 | − | 20.4572i | 0.841015 | − | 0.968677i | ||||
\(447\) | 1.32431 | 0.0626376 | ||||||||
\(448\) | 16.4879 | + | 13.2721i | 0.778981 | + | 0.627048i | ||||
\(449\) | −18.6847 | −0.881784 | −0.440892 | − | 0.897560i | \(-0.645338\pi\) | ||||
−0.440892 | + | 0.897560i | \(0.645338\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −26.2380 | −1.23550 | ||||||||
\(452\) | 1.04129 | + | 7.34376i | 0.0489782 | + | 0.345422i | ||||
\(453\) | − | 12.5370i | − | 0.589041i | ||||||
\(454\) | −13.0434 | + | 15.0233i | −0.612158 | + | 0.705080i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −8.80776 | − | 5.69681i | −0.412461 | − | 0.266777i | ||||
\(457\) | 37.5427 | 1.75617 | 0.878086 | − | 0.478504i | \(-0.158821\pi\) | ||||
0.878086 | + | 0.478504i | \(0.158821\pi\) | |||||||
\(458\) | 8.58511 | + | 7.45368i | 0.401156 | + | 0.348287i | ||||
\(459\) | 7.54011i | 0.351942i | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 19.7012i | 0.917578i | 0.888545 | + | 0.458789i | \(0.151717\pi\) | ||||
−0.888545 | + | 0.458789i | \(0.848283\pi\) | |||||||
\(462\) | 7.43319 | + | 1.85446i | 0.345823 | + | 0.0862774i | ||||
\(463\) | − | 27.2069i | − | 1.26441i | −0.774800 | − | 0.632206i | \(-0.782150\pi\) | ||
0.774800 | − | 0.632206i | \(-0.217850\pi\) | |||||||
\(464\) | −13.6847 | + | 3.96039i | −0.635294 | + | 0.183856i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −6.87689 | + | 7.92077i | −0.318566 | + | 0.366923i | ||||
\(467\) | 31.0297 | 1.43588 | 0.717941 | − | 0.696104i | \(-0.245085\pi\) | ||||
0.717941 | + | 0.696104i | \(0.245085\pi\) | |||||||
\(468\) | 23.6873 | − | 3.35869i | 1.09495 | − | 0.155255i | ||||
\(469\) | 2.87689 | + | 5.65685i | 0.132843 | + | 0.261209i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | − | 1.73642i | − | 0.0800100i | ||||||
\(472\) | 19.1338 | + | 12.3756i | 0.880704 | + | 0.569634i | ||||
\(473\) | −13.2084 | −0.607323 | ||||||||
\(474\) | 0.958664 | + | 0.832322i | 0.0440329 | + | 0.0382298i | ||||
\(475\) | 0 | 0 | ||||||||
\(476\) | −8.87206 | + | 6.21845i | −0.406650 | + | 0.285022i | ||||
\(477\) | −24.3342 | −1.11419 | ||||||||
\(478\) | −3.30210 | − | 2.86692i | −0.151035 | − | 0.131130i | ||||
\(479\) | 3.83466 | 0.175210 | 0.0876050 | − | 0.996155i | \(-0.472079\pi\) | ||||
0.0876050 | + | 0.996155i | \(0.472079\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | − | 17.3188i | − | 0.789667i | ||||||
\(482\) | −20.1907 | − | 17.5297i | −0.919659 | − | 0.798458i | ||||
\(483\) | 1.48734 | + | 2.92456i | 0.0676762 | + | 0.133072i | ||||
\(484\) | −0.403882 | − | 2.84840i | −0.0183583 | − | 0.129473i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | −13.4637 | + | 15.5075i | −0.610728 | + | 0.703433i | ||||
\(487\) | 38.9699i | 1.76589i | 0.469473 | + | 0.882947i | \(0.344444\pi\) | ||||
−0.469473 | + | 0.882947i | \(0.655556\pi\) | |||||||
\(488\) | 9.90941 | − | 15.3208i | 0.448578 | − | 0.693541i | ||||
\(489\) | 10.4218i | 0.471290i | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | − | 6.56502i | − | 0.296275i | −0.988967 | − | 0.148138i | \(-0.952672\pi\) | ||
0.988967 | − | 0.148138i | \(-0.0473278\pi\) | |||||||
\(492\) | −11.1258 | + | 1.57756i | −0.501591 | + | 0.0711218i | ||||
\(493\) | − | 7.29226i | − | 0.328427i | ||||||
\(494\) | −27.9309 | − | 24.2499i | −1.25667 | − | 1.09105i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 33.6050 | − | 9.72540i | 1.50891 | − | 0.436683i | ||||
\(497\) | 11.5824 | + | 22.7745i | 0.519541 | + | 1.02158i | ||||
\(498\) | −7.64550 | + | 8.80604i | −0.342603 | + | 0.394608i | ||||
\(499\) | − | 34.0139i | − | 1.52267i | −0.648357 | − | 0.761336i | \(-0.724544\pi\) | ||
0.648357 | − | 0.761336i | \(-0.275456\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −5.56155 | −0.248472 | ||||||||
\(502\) | −2.91605 | + | 3.35869i | −0.130149 | + | 0.149906i | ||||
\(503\) | −7.81855 | −0.348612 | −0.174306 | − | 0.984692i | \(-0.555768\pi\) | ||||
−0.174306 | + | 0.984692i | \(0.555768\pi\) | |||||||
\(504\) | −19.0661 | − | 1.98310i | −0.849269 | − | 0.0883344i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | −5.36932 | + | 6.18435i | −0.238695 | + | 0.274928i | ||||
\(507\) | −5.83209 | −0.259012 | ||||||||
\(508\) | −33.8340 | + | 4.79741i | −1.50114 | + | 0.212851i | ||||
\(509\) | 1.14235i | 0.0506338i | 0.999679 | + | 0.0253169i | \(0.00805948\pi\) | ||||
−0.999679 | + | 0.0253169i | \(0.991941\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 4.91134 | + | 9.65719i | 0.217265 | + | 0.427209i | ||||
\(512\) | −3.41624 | + | 22.3680i | −0.150978 | + | 0.988537i | ||||
\(513\) | 20.6256 | 0.910644 | ||||||||
\(514\) | 29.9215 | + | 25.9781i | 1.31978 | + | 1.14585i | ||||
\(515\) | 0 | 0 | ||||||||
\(516\) | −5.60083 | + | 0.794156i | −0.246563 | + | 0.0349608i | ||||
\(517\) | − | 0.897718i | − | 0.0394816i | ||||||
\(518\) | −3.35897 | + | 13.4637i | −0.147585 | + | 0.591560i | ||||
\(519\) | 5.80369i | 0.254754i | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | − | 2.82843i | − | 0.123916i | −0.998079 | − | 0.0619578i | \(-0.980266\pi\) | ||
0.998079 | − | 0.0619578i | \(-0.0197344\pi\) | |||||||
\(522\) | 8.45851 | − | 9.74247i | 0.370219 | − | 0.426416i | ||||
\(523\) | 7.15640 | 0.312927 | 0.156464 | − | 0.987684i | \(-0.449991\pi\) | ||||
0.156464 | + | 0.987684i | \(0.449991\pi\) | |||||||
\(524\) | 1.57258 | + | 11.0907i | 0.0686985 | + | 0.484501i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 12.8078 | + | 11.1198i | 0.558445 | + | 0.484848i | ||||
\(527\) | 17.9074i | 0.780058i | ||||||||
\(528\) | 2.27678 | + | 7.86715i | 0.0990841 | + | 0.342374i | ||||
\(529\) | 19.4924 | 0.847497 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −20.6372 | −0.895576 | ||||||||
\(532\) | 17.0103 | + | 24.2691i | 0.737490 | + | 1.05220i | ||||
\(533\) | −39.6252 | −1.71636 | ||||||||
\(534\) | 2.00000 | + | 1.73642i | 0.0865485 | + | 0.0751422i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | −3.68466 | + | 5.69681i | −0.159153 | + | 0.246065i | ||||
\(537\) | − | 1.14978i | − | 0.0496165i | ||||||
\(538\) | −17.6465 | − | 15.3208i | −0.760793 | − | 0.660528i | ||||
\(539\) | −17.4920 | − | 12.7494i | −0.753433 | − | 0.549154i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −23.5616 | −1.01299 | −0.506495 | − | 0.862243i | \(-0.669059\pi\) | ||||
−0.506495 | + | 0.862243i | \(0.669059\pi\) | |||||||
\(542\) | −8.10887 | + | 9.33976i | −0.348306 | + | 0.401177i | ||||
\(543\) | 6.14441i | 0.263682i | ||||||||
\(544\) | −10.5122 | − | 4.86270i | −0.450706 | − | 0.208486i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | 11.2258 | + | 2.80065i | 0.480419 | + | 0.119857i | ||||
\(547\) | − | 37.3923i | − | 1.59878i | −0.600812 | − | 0.799390i | \(-0.705156\pi\) | ||
0.600812 | − | 0.799390i | \(-0.294844\pi\) | |||||||
\(548\) | −3.70861 | − | 26.1552i | −0.158424 | − | 1.11729i | ||||
\(549\) | 16.5246i | 0.705253i | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −19.9477 | −0.849799 | ||||||||
\(552\) | −1.90495 | + | 2.94521i | −0.0810799 | + | 0.125357i | ||||
\(553\) | −1.62603 | − | 3.19727i | −0.0691458 | − | 0.135962i | ||||
\(554\) | 1.93087 | − | 2.22397i | 0.0820348 | − | 0.0944873i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 4.02825 | + | 28.4095i | 0.170836 | + | 1.20483i | ||||
\(557\) | 9.49980 | 0.402519 | 0.201260 | − | 0.979538i | \(-0.435496\pi\) | ||||
0.201260 | + | 0.979538i | \(0.435496\pi\) | |||||||
\(558\) | −20.7713 | + | 23.9243i | −0.879319 | + | 1.01280i | ||||
\(559\) | −19.9477 | −0.843696 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −4.19224 | −0.176996 | ||||||||
\(562\) | 18.5931 | − | 21.4154i | 0.784302 | − | 0.903355i | ||||
\(563\) | 27.9277 | 1.17701 | 0.588506 | − | 0.808493i | \(-0.299716\pi\) | ||||
0.588506 | + | 0.808493i | \(0.299716\pi\) | |||||||
\(564\) | −0.0539753 | − | 0.380664i | −0.00227277 | − | 0.0160289i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | −18.1059 | + | 20.8543i | −0.761048 | + | 0.876571i | ||||
\(567\) | 12.3721 | − | 6.29206i | 0.519580 | − | 0.264242i | ||||
\(568\) | −14.8344 | + | 22.9354i | −0.622439 | + | 0.962346i | ||||
\(569\) | −13.8617 | −0.581114 | −0.290557 | − | 0.956858i | \(-0.593841\pi\) | ||||
−0.290557 | + | 0.956858i | \(0.593841\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 17.5780i | 0.735615i | 0.929902 | + | 0.367807i | \(0.119891\pi\) | ||||
−0.929902 | + | 0.367807i | \(0.880109\pi\) | |||||||
\(572\) | 4.05444 | + | 28.5942i | 0.169524 | + | 1.19558i | ||||
\(573\) | 9.08770i | 0.379644i | ||||||||
\(574\) | 30.8048 | + | 7.68531i | 1.28577 | + | 0.320779i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | −8.40388 | − | 18.6899i | −0.350162 | − | 0.778748i | ||||
\(577\) | 18.9316i | 0.788132i | 0.919082 | + | 0.394066i | \(0.128932\pi\) | ||||
−0.919082 | + | 0.394066i | \(0.871068\pi\) | |||||||
\(578\) | −11.8748 | + | 13.6773i | −0.493925 | + | 0.568900i | ||||
\(579\) | 2.45567 | 0.102054 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 29.3693 | − | 14.9363i | 1.21844 | − | 0.619662i | ||||
\(582\) | −4.34339 | − | 3.77098i | −0.180039 | − | 0.156312i | ||||
\(583\) | − | 29.3751i | − | 1.21659i | ||||||
\(584\) | −6.29033 | + | 9.72540i | −0.260296 | + | 0.402440i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 16.1886 | + | 14.0551i | 0.668744 | + | 0.580610i | ||||
\(587\) | −9.06134 | −0.374002 | −0.187001 | − | 0.982360i | \(-0.559877\pi\) | ||||
−0.187001 | + | 0.982360i | \(0.559877\pi\) | |||||||
\(588\) | −8.18378 | − | 4.35448i | −0.337493 | − | 0.179576i | ||||
\(589\) | 48.9848 | 2.01839 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −7.36701 | −0.303038 | ||||||||
\(592\) | −14.2497 | + | 4.12391i | −0.585659 | + | 0.169492i | ||||
\(593\) | 31.2165i | 1.28191i | 0.767579 | + | 0.640955i | \(0.221461\pi\) | ||||
−0.767579 | + | 0.640955i | \(0.778539\pi\) | |||||||
\(594\) | −12.1603 | − | 10.5577i | −0.498944 | − | 0.433188i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −0.561553 | − | 3.96039i | −0.0230021 | − | 0.162224i | ||||
\(597\) | −4.16516 | −0.170469 | ||||||||
\(598\) | −8.10887 | + | 9.33976i | −0.331596 | + | 0.381931i | ||||
\(599\) | 14.4858i | 0.591873i | 0.955208 | + | 0.295937i | \(0.0956317\pi\) | ||||
−0.955208 | + | 0.295937i | \(0.904368\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | − | 39.4024i | − | 1.60726i | −0.595130 | − | 0.803630i | \(-0.702899\pi\) | ||
0.595130 | − | 0.803630i | \(-0.297101\pi\) | |||||||
\(602\) | 15.5074 | + | 3.86885i | 0.632034 | + | 0.157682i | ||||
\(603\) | − | 6.14441i | − | 0.250220i | ||||||
\(604\) | −37.4924 | + | 5.31614i | −1.52555 | + | 0.216311i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 1.68466 | + | 1.46264i | 0.0684346 | + | 0.0594156i | ||||
\(607\) | −10.6302 | −0.431466 | −0.215733 | − | 0.976452i | \(-0.569214\pi\) | ||||
−0.215733 | + | 0.976452i | \(0.569214\pi\) | |||||||
\(608\) | −13.3017 | + | 28.7556i | −0.539455 | + | 1.16619i | ||||
\(609\) | 5.56155 | − | 2.82843i | 0.225365 | − | 0.114614i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | − | 1.35576i | − | 0.0548480i | ||||||
\(612\) | 10.3857 | − | 1.47261i | 0.419815 | − | 0.0595266i | ||||
\(613\) | −13.6650 | −0.551923 | −0.275961 | − | 0.961169i | \(-0.588996\pi\) | ||||
−0.275961 | + | 0.961169i | \(0.588996\pi\) | |||||||
\(614\) | −24.2451 | + | 27.9254i | −0.978452 | + | 1.12698i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 2.39390 | − | 23.0156i | 0.0964530 | − | 0.927324i | ||||
\(617\) | −35.9166 | −1.44595 | −0.722974 | − | 0.690875i | \(-0.757226\pi\) | ||||
−0.722974 | + | 0.690875i | \(0.757226\pi\) | |||||||
\(618\) | 0.634783 | − | 0.731140i | 0.0255347 | − | 0.0294107i | ||||
\(619\) | −10.5122 | −0.422520 | −0.211260 | − | 0.977430i | \(-0.567757\pi\) | ||||
−0.211260 | + | 0.977430i | \(0.567757\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | − | 6.89697i | − | 0.276766i | ||||||
\(622\) | −18.4945 | + | 21.3019i | −0.741563 | + | 0.854128i | ||||
\(623\) | −3.39228 | − | 6.67026i | −0.135909 | − | 0.267238i | ||||
\(624\) | 3.43845 | + | 11.8812i | 0.137648 | + | 0.475627i | ||||
\(625\) | 0 | 0 | ||||||||
\(626\) | 12.1603 | + | 10.5577i | 0.486024 | + | 0.421971i | ||||
\(627\) | 11.4677i | 0.457975i | ||||||||
\(628\) | −5.19283 | + | 0.736303i | −0.207216 | + | 0.0293817i | ||||
\(629\) | − | 7.59336i | − | 0.302767i | ||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | − | 32.2775i | − | 1.28495i | −0.766308 | − | 0.642474i | \(-0.777908\pi\) | ||
0.766308 | − | 0.642474i | \(-0.222092\pi\) | |||||||
\(632\) | 2.08258 | − | 3.21985i | 0.0828406 | − | 0.128079i | ||||
\(633\) | 16.6320i | 0.661063i | ||||||||
\(634\) | −29.4384 | + | 33.9071i | −1.16915 | + | 1.34662i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | −1.76618 | − | 12.4561i | −0.0700334 | − | 0.493915i | ||||
\(637\) | −26.4168 | − | 19.2544i | −1.04667 | − | 0.762887i | ||||
\(638\) | 11.7606 | + | 10.2107i | 0.465607 | + | 0.404245i | ||||
\(639\) | − | 24.7374i | − | 0.978597i | ||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −17.8617 | −0.705496 | −0.352748 | − | 0.935718i | \(-0.614753\pi\) | ||||
−0.352748 | + | 0.935718i | \(0.614753\pi\) | |||||||
\(642\) | −10.3857 | − | 9.01693i | −0.409889 | − | 0.355870i | ||||
\(643\) | −0.499124 | −0.0196835 | −0.00984176 | − | 0.999952i | \(-0.503133\pi\) | ||||
−0.00984176 | + | 0.999952i | \(0.503133\pi\) | |||||||
\(644\) | 8.11531 | − | 5.68805i | 0.319788 | − | 0.224140i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −12.2462 | − | 10.6323i | −0.481821 | − | 0.418322i | ||||
\(647\) | −5.87787 | −0.231083 | −0.115541 | − | 0.993303i | \(-0.536860\pi\) | ||||
−0.115541 | + | 0.993303i | \(0.536860\pi\) | |||||||
\(648\) | 12.4595 | + | 8.05872i | 0.489455 | + | 0.316576i | ||||
\(649\) | − | 24.9121i | − | 0.977886i | ||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −13.6573 | + | 6.94568i | −0.535273 | + | 0.272223i | ||||
\(652\) | 31.1667 | − | 4.41921i | 1.22058 | − | 0.173069i | ||||
\(653\) | 11.1258 | 0.435387 | 0.217694 | − | 0.976017i | \(-0.430147\pi\) | ||||
0.217694 | + | 0.976017i | \(0.430147\pi\) | |||||||
\(654\) | 0.269170 | − | 0.310029i | 0.0105254 | − | 0.0121231i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | 9.43549 | + | 32.6032i | 0.368394 | + | 1.27294i | ||||
\(657\) | − | 10.4895i | − | 0.409236i | ||||||
\(658\) | −0.262949 | + | 1.05397i | −0.0102508 | + | 0.0410880i | ||||
\(659\) | − | 19.6950i | − | 0.767210i | −0.923497 | − | 0.383605i | \(-0.874682\pi\) | ||
0.923497 | − | 0.383605i | \(-0.125318\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | − | 42.3286i | − | 1.64639i | −0.567756 | − | 0.823197i | \(-0.692188\pi\) | ||
0.567756 | − | 0.823197i | \(-0.307812\pi\) | |||||||
\(662\) | −1.85431 | − | 1.60993i | −0.0720696 | − | 0.0625716i | ||||
\(663\) | −6.33122 | −0.245884 | ||||||||
\(664\) | 29.5767 | + | 19.1300i | 1.14780 | + | 0.742390i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 8.80776 | − | 10.1447i | 0.341294 | − | 0.393101i | ||||
\(667\) | 6.67026i | 0.258274i | ||||||||
\(668\) | 2.35829 | + | 16.6320i | 0.0912452 | + | 0.643512i | ||||
\(669\) | −12.6847 | −0.490417 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −19.9477 | −0.770071 | ||||||||
\(672\) | −0.368713 | − | 9.90334i | −0.0142234 | − | 0.382030i | ||||
\(673\) | −5.79119 | −0.223234 | −0.111617 | − | 0.993751i | \(-0.535603\pi\) | ||||
−0.111617 | + | 0.993751i | \(0.535603\pi\) | |||||||
\(674\) | 4.94602 | − | 5.69681i | 0.190514 | − | 0.219433i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 2.47301 | + | 17.4411i | 0.0951159 | + | 0.670811i | ||||
\(677\) | − | 6.46532i | − | 0.248482i | −0.992252 | − | 0.124241i | \(-0.960350\pi\) | ||
0.992252 | − | 0.124241i | \(-0.0396496\pi\) | |||||||
\(678\) | 2.27678 | − | 2.62238i | 0.0874392 | − | 0.100712i | ||||
\(679\) | 7.36701 | + | 14.4858i | 0.282720 | + | 0.555914i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 9.31534 | 0.356965 | ||||||||
\(682\) | −28.8802 | − | 25.0741i | −1.10588 | − | 0.960135i | ||||
\(683\) | 5.32326i | 0.203689i | 0.994800 | + | 0.101845i | \(0.0324744\pi\) | ||||
−0.994800 | + | 0.101845i | \(0.967526\pi\) | |||||||
\(684\) | −4.02825 | − | 28.4095i | −0.154024 | − | 1.08626i | ||||
\(685\) | 0 | 0 | ||||||||
\(686\) | 16.8021 | + | 20.0920i | 0.641509 | + | 0.767116i | ||||
\(687\) | − | 5.32326i | − | 0.203095i | ||||||
\(688\) | 4.74990 | + | 16.4127i | 0.181088 | + | 0.625730i | ||||
\(689\) | − | 44.3629i | − | 1.69009i | ||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 12.9678 | 0.493320 | 0.246660 | − | 0.969102i | \(-0.420667\pi\) | ||||
0.246660 | + | 0.969102i | \(0.420667\pi\) | |||||||
\(692\) | 17.3561 | − | 2.46097i | 0.659781 | − | 0.0935520i | ||||
\(693\) | 9.49980 | + | 18.6795i | 0.360868 | + | 0.709576i | ||||
\(694\) | −4.56155 | − | 3.96039i | −0.173154 | − | 0.150334i | ||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 5.60083 | + | 3.62258i | 0.212299 | + | 0.137314i | ||||
\(697\) | −17.3736 | −0.658071 | ||||||||
\(698\) | 38.7896 | + | 33.6775i | 1.46821 | + | 1.27471i | ||||
\(699\) | 4.91134 | 0.185764 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 47.6695 | 1.80045 | 0.900226 | − | 0.435423i | \(-0.143401\pi\) | ||||
0.900226 | + | 0.435423i | \(0.143401\pi\) | |||||||
\(702\) | −18.3648 | − | 15.9445i | −0.693135 | − | 0.601787i | ||||
\(703\) | −20.7713 | −0.783404 | ||||||||
\(704\) | 22.5616 | − | 10.1447i | 0.850321 | − | 0.382344i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 28.9628 | + | 25.1458i | 1.09003 | + | 0.946375i | ||||
\(707\) | −2.85742 | − | 5.61856i | −0.107464 | − | 0.211308i | ||||
\(708\) | −1.49784 | − | 10.5636i | −0.0562923 | − | 0.397005i | ||||
\(709\) | −10.1922 | −0.382777 | −0.191389 | − | 0.981514i | \(-0.561299\pi\) | ||||
−0.191389 | + | 0.981514i | \(0.561299\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 3.47284i | 0.130242i | ||||||||
\(712\) | 4.34475 | − | 6.71737i | 0.162827 | − | 0.251744i | ||||
\(713\) | − | 16.3800i | − | 0.613434i | ||||||
\(714\) | 4.92191 | + | 1.22794i | 0.184198 | + | 0.0459544i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −3.43845 | + | 0.487546i | −0.128501 | + | 0.0182204i | ||||
\(717\) | 2.04750i | 0.0764651i | ||||||||
\(718\) | −28.2711 | − | 24.5453i | −1.05507 | − | 0.916022i | ||||
\(719\) | 36.0607 | 1.34484 | 0.672418 | − | 0.740172i | \(-0.265256\pi\) | ||||
0.672418 | + | 0.740172i | \(0.265256\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −2.43845 | + | 1.24012i | −0.0908125 | + | 0.0461843i | ||||
\(722\) | −11.4682 | + | 13.2091i | −0.426804 | + | 0.491590i | ||||
\(723\) | 12.5194i | 0.465601i | ||||||||
\(724\) | 18.3751 | − | 2.60545i | 0.682904 | − | 0.0968307i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | −0.883088 | + | 1.01714i | −0.0327745 | + | 0.0377494i | ||||
\(727\) | 6.20393 | 0.230091 | 0.115045 | − | 0.993360i | \(-0.463299\pi\) | ||||
0.115045 | + | 0.993360i | \(0.463299\pi\) | |||||||
\(728\) | 3.61532 | − | 34.7587i | 0.133993 | − | 1.28824i | ||||
\(729\) | −6.12311 | −0.226782 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −8.74599 | −0.323482 | ||||||||
\(732\) | −8.45851 | + | 1.19935i | −0.312636 | + | 0.0443294i | ||||
\(733\) | 11.0644i | 0.408674i | 0.978901 | + | 0.204337i | \(0.0655038\pi\) | ||||
−0.978901 | + | 0.204337i | \(0.934496\pi\) | |||||||
\(734\) | 29.5012 | − | 33.9793i | 1.08891 | − | 1.25420i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 9.61553 | + | 4.44793i | 0.354433 | + | 0.163953i | ||||
\(737\) | 7.41722 | 0.273217 | ||||||||
\(738\) | −23.2111 | − | 20.1521i | −0.854413 | − | 0.741810i | ||||
\(739\) | − | 14.6996i | − | 0.540732i | −0.962758 | − | 0.270366i | \(-0.912855\pi\) | ||
0.962758 | − | 0.270366i | \(-0.0871447\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 17.3188i | 0.636220i | ||||||||
\(742\) | −8.60418 | + | 34.4879i | −0.315869 | + | 1.26609i | ||||
\(743\) | − | 4.79741i | − | 0.176000i | −0.996120 | − | 0.0880000i | \(-0.971952\pi\) | ||
0.996120 | − | 0.0880000i | \(-0.0280475\pi\) | |||||||
\(744\) | −13.7538 | − | 8.89586i | −0.504238 | − | 0.326138i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | −21.0540 | + | 24.2499i | −0.770841 | + | 0.887851i | ||||
\(747\) | −31.9006 | −1.16718 | ||||||||
\(748\) | 1.77766 | + | 12.5370i | 0.0649975 | + | 0.458399i | ||||
\(749\) | 17.6155 | + | 34.6375i | 0.643657 | + | 1.26563i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | − | 24.3567i | − | 0.888790i | −0.895831 | − | 0.444395i | \(-0.853419\pi\) | ||
0.895831 | − | 0.444395i | \(-0.146581\pi\) | |||||||
\(752\) | −1.11550 | + | 0.322830i | −0.0406782 | + | 0.0117724i | ||||
\(753\) | 2.08258 | 0.0758934 | ||||||||
\(754\) | 17.7612 | + | 15.4204i | 0.646823 | + | 0.561578i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | 11.1844 | + | 15.9572i | 0.406774 | + | 0.580357i | ||||
\(757\) | 28.4994 | 1.03583 | 0.517914 | − | 0.855433i | \(-0.326709\pi\) | ||||
0.517914 | + | 0.855433i | \(0.326709\pi\) | |||||||
\(758\) | −5.56292 | − | 4.82978i | −0.202054 | − | 0.175425i | ||||
\(759\) | 3.83466 | 0.139189 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | − | 3.52482i | − | 0.127775i | −0.997957 | − | 0.0638873i | \(-0.979650\pi\) | ||
0.997957 | − | 0.0638873i | \(-0.0203498\pi\) | |||||||
\(762\) | 12.0818 | + | 10.4895i | 0.437677 | + | 0.379996i | ||||
\(763\) | −1.03399 | + | 0.525853i | −0.0374329 | + | 0.0190372i | ||||
\(764\) | 27.1771 | − | 3.85350i | 0.983232 | − | 0.139415i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 25.0101 | − | 28.8066i | 0.903653 | − | 1.04082i | ||||
\(767\) | − | 37.6229i | − | 1.35848i | ||||||
\(768\) | 8.95694 | − | 5.65824i | 0.323206 | − | 0.204174i | ||||
\(769\) | 8.83348i | 0.318543i | 0.987235 | + | 0.159272i | \(0.0509146\pi\) | ||||
−0.987235 | + | 0.159272i | \(0.949085\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | − | 18.5531i | − | 0.668172i | ||||||
\(772\) | −1.04129 | − | 7.34376i | −0.0374769 | − | 0.264308i | ||||
\(773\) | 48.4234i | 1.74167i | 0.491575 | + | 0.870835i | \(0.336421\pi\) | ||||
−0.491575 | + | 0.870835i | \(0.663579\pi\) | |||||||
\(774\) | −11.6847 | − | 10.1447i | −0.419996 | − | 0.364645i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) | −9.43549 | + | 14.5881i | −0.338714 | + | 0.523682i | ||||
\(777\) | 5.79119 | − | 2.94521i | 0.207758 | − | 0.105659i | ||||
\(778\) | 15.6975 | − | 18.0803i | 0.562783 | − | 0.648210i | ||||
\(779\) | 47.5246i | 1.70275i | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 29.8617 | 1.06854 | ||||||||
\(782\) | −3.55531 | + | 4.09499i | −0.127138 | + | 0.146437i | ||||
\(783\) | −13.1158 | −0.468720 | ||||||||
\(784\) | −9.55200 | + | 26.3203i | −0.341143 | + | 0.940011i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | 3.43845 | − | 3.96039i | 0.122645 | − | 0.141262i | ||||
\(787\) | 37.4882 | 1.33631 | 0.668154 | − | 0.744023i | \(-0.267085\pi\) | ||||
0.668154 | + | 0.744023i | \(0.267085\pi\) | |||||||
\(788\) | 3.12387 | + | 22.0313i | 0.111283 | + | 0.784832i | ||||
\(789\) | − | 7.94156i | − | 0.282727i | ||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −8.74599 | + | 4.44793i | −0.310972 | + | 0.158150i | ||||
\(792\) | −12.1671 | + | 18.8114i | −0.432340 | + | 0.668435i | ||||
\(793\) | −30.1254 | −1.06979 | ||||||||
\(794\) | −13.7329 | − | 11.9231i | −0.487363 | − | 0.423133i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 1.76618 | + | 12.4561i | 0.0626004 | + | 0.441493i | ||||
\(797\) | 47.2737i | 1.67452i | 0.546805 | + | 0.837260i | \(0.315844\pi\) | ||||
−0.546805 | + | 0.837260i | \(0.684156\pi\) | |||||||
\(798\) | 3.35897 | − | 13.4637i | 0.118906 | − | 0.476609i | ||||
\(799\) | − | 0.594427i | − | 0.0210293i | ||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 7.24517i | 0.255995i | ||||||||
\(802\) | −16.2822 | + | 18.7538i | −0.574946 | + | 0.662220i | ||||
\(803\) | 12.6624 | 0.446847 | ||||||||
\(804\) | 3.14516 | − | 0.445960i | 0.110921 | − | 0.0157278i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −43.6155 | − | 37.8674i | −1.53629 | − | 1.33382i | ||||
\(807\) | 10.9418i | 0.385170i | ||||||||
\(808\) | 3.65971 | − | 5.65824i | 0.128748 | − | 0.199056i | ||||
\(809\) | −10.0540 | −0.353479 | −0.176739 | − | 0.984258i | \(-0.556555\pi\) | ||||
−0.176739 | + | 0.984258i | \(0.556555\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −3.14516 | −0.110442 | −0.0552208 | − | 0.998474i | \(-0.517586\pi\) | ||||
−0.0552208 | + | 0.998474i | \(0.517586\pi\) | |||||||
\(812\) | −10.8168 | − | 15.4327i | −0.379595 | − | 0.541580i | ||||
\(813\) | 5.79119 | 0.203106 | ||||||||
\(814\) | 12.2462 | + | 10.6323i | 0.429229 | + | 0.372661i | ||||
\(815\) | 0 | 0 | ||||||||
\(816\) | 1.50758 | + | 5.20926i | 0.0527758 | + | 0.182361i | ||||
\(817\) | 23.9243i | 0.837005i | ||||||||
\(818\) | 5.08842 | + | 4.41782i | 0.177913 | + | 0.154465i | ||||
\(819\) | 14.3468 | + | 28.2102i | 0.501319 | + | 0.985746i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −7.06913 | −0.246714 | −0.123357 | − | 0.992362i | \(-0.539366\pi\) | ||||
−0.123357 | + | 0.992362i | \(0.539366\pi\) | |||||||
\(822\) | −8.10887 | + | 9.33976i | −0.282829 | + | 0.325761i | ||||
\(823\) | 3.21985i | 0.112237i | 0.998424 | + | 0.0561185i | \(0.0178725\pi\) | ||||
−0.998424 | + | 0.0561185i | \(0.982128\pi\) | |||||||
\(824\) | −2.45567 | − | 1.58831i | −0.0855473 | − | 0.0553314i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −7.29695 | + | 29.2482i | −0.253893 | + | 1.01767i | ||||
\(827\) | 2.39871i | 0.0834112i | 0.999130 | + | 0.0417056i | \(0.0132792\pi\) | ||||
−0.999130 | + | 0.0417056i | \(0.986721\pi\) | |||||||
\(828\) | −9.49980 | + | 1.34700i | −0.330141 | + | 0.0468115i | ||||
\(829\) | − | 25.9018i | − | 0.899607i | −0.893128 | − | 0.449803i | \(-0.851494\pi\) | ||
0.893128 | − | 0.449803i | \(-0.148506\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −1.37899 | −0.0478366 | ||||||||
\(832\) | 34.0730 | − | 15.3208i | 1.18127 | − | 0.531154i | ||||
\(833\) | −11.5824 | − | 8.44204i | −0.401306 | − | 0.292499i | ||||
\(834\) | 8.80776 | − | 10.1447i | 0.304988 | − | 0.351284i | ||||
\(835\) | 0 | 0 | ||||||||
\(836\) | 34.2945 | − | 4.86270i | 1.18610 | − | 0.168180i | ||||
\(837\) | 32.2080 | 1.11327 | ||||||||
\(838\) | −19.1338 | + | 22.0382i | −0.660966 | + | 0.761297i | ||||
\(839\) | −47.2623 | −1.63168 | −0.815838 | − | 0.578280i | \(-0.803724\pi\) | ||||
−0.815838 | + | 0.578280i | \(0.803724\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −16.3153 | −0.562598 | ||||||||
\(842\) | −7.82373 | + | 9.01133i | −0.269623 | + | 0.310551i | ||||
\(843\) | −13.2788 | −0.457346 | ||||||||
\(844\) | 49.7386 | − | 7.05256i | 1.71207 | − | 0.242759i | ||||
\(845\) | 0 | 0 | ||||||||
\(846\) | 0.689494 | − | 0.794156i | 0.0237053 | − | 0.0273036i | ||||
\(847\) | 3.39228 | − | 1.72521i | 0.116560 | − | 0.0592788i | ||||
\(848\) | −36.5014 | + | 10.5636i | −1.25346 | + | 0.362756i | ||||
\(849\) | 12.9309 | 0.443786 | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 6.94568i | 0.238095i | ||||||||
\(852\) | 12.6624 | − | 1.79544i | 0.433808 | − | 0.0615107i | ||||
\(853\) | − | 45.2262i | − | 1.54851i | −0.632871 | − | 0.774257i | \(-0.718124\pi\) | ||
0.632871 | − | 0.774257i | \(-0.281876\pi\) | |||||||
\(854\) | 23.4196 | + | 5.84282i | 0.801403 | + | 0.199937i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −22.5616 | + | 34.8821i | −0.771138 | + | 1.19225i | ||||
\(857\) | − | 14.5845i | − | 0.498198i | −0.968478 | − | 0.249099i | \(-0.919866\pi\) | ||
0.968478 | − | 0.249099i | \(-0.0801344\pi\) | |||||||
\(858\) | 8.86502 | − | 10.2107i | 0.302647 | − | 0.348587i | ||||
\(859\) | −3.14516 | −0.107312 | −0.0536558 | − | 0.998559i | \(-0.517087\pi\) | ||||
−0.0536558 | + | 0.998559i | \(0.517087\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −6.73863 | − | 13.2502i | −0.229652 | − | 0.451566i | ||||
\(862\) | 16.5105 | + | 14.3346i | 0.562350 | + | 0.488238i | ||||
\(863\) | 28.8492i | 0.982038i | 0.871149 | + | 0.491019i | \(0.163375\pi\) | ||||
−0.871149 | + | 0.491019i | \(0.836625\pi\) | |||||||
\(864\) | −8.74599 | + | 18.9071i | −0.297545 | + | 0.643232i | ||||
\(865\) | 0 | 0 | ||||||||
\(866\) | −41.1232 | − | 35.7035i | −1.39742 | − | 1.21326i | ||||
\(867\) | 8.48071 | 0.288020 | ||||||||
\(868\) | 26.5625 | + | 37.8975i | 0.901590 | + | 1.28633i | ||||
\(869\) | −4.19224 | −0.142212 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 11.2017 | 0.379554 | ||||||||
\(872\) | −1.04129 | − | 0.673500i | −0.0352625 | − | 0.0228076i | ||||
\(873\) | − | 15.7343i | − | 0.532525i | ||||||
\(874\) | 11.2017 | + | 9.72540i | 0.378902 | + | 0.328966i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 5.36932 | − | 0.761329i | 0.181412 | − | 0.0257229i | ||||
\(877\) | −3.70861 | −0.125231 | −0.0626154 | − | 0.998038i | \(-0.519944\pi\) | ||||
−0.0626154 | + | 0.998038i | \(0.519944\pi\) | |||||||
\(878\) | 22.0498 | − | 25.3969i | 0.744146 | − | 0.857103i | ||||
\(879\) | − | 10.0379i | − | 0.338569i | ||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | − | 54.0883i | − | 1.82228i | −0.412095 | − | 0.911141i | \(-0.635203\pi\) | ||
0.412095 | − | 0.911141i | \(-0.364797\pi\) | |||||||
\(882\) | −5.68190 | − | 24.7133i | −0.191320 | − | 0.832141i | ||||
\(883\) | 19.7155i | 0.663479i | 0.943371 | + | 0.331740i | \(0.107636\pi\) | ||||
−0.943371 | + | 0.331740i | \(0.892364\pi\) | |||||||
\(884\) | 2.68466 | + | 18.9337i | 0.0902948 | + | 0.636810i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −14.8078 | − | 12.8563i | −0.497477 | − | 0.431914i | ||||
\(887\) | 15.3110 | 0.514095 | 0.257047 | − | 0.966399i | \(-0.417250\pi\) | ||||
0.257047 | + | 0.966399i | \(0.417250\pi\) | |||||||
\(888\) | 5.83209 | + | 3.77216i | 0.195712 | + | 0.126585i | ||||
\(889\) | −20.4924 | − | 40.2944i | −0.687294 | − | 1.35143i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | − | 16.2222i | − | 0.543464i | ||||||
\(892\) | 5.37874 | + | 37.9339i | 0.180094 | + | 1.27012i | ||||
\(893\) | −1.62603 | −0.0544130 | ||||||||
\(894\) | −1.22783 | + | 1.41421i | −0.0410649 | + | 0.0472984i | ||||
\(895\) | 0 | 0 | ||||||||
\(896\) | −29.4599 | + | 5.30202i | −0.984188 | + | 0.177128i | ||||
\(897\) | 5.79119 | 0.193362 | ||||||||
\(898\) | 17.3235 | − | 19.9532i | 0.578094 | − | 0.665845i | ||||
\(899\) | −31.1493 | −1.03889 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | − | 19.4508i | − | 0.648000i | ||||||
\(902\) | 24.3266 | − | 28.0193i | 0.809988 | − | 0.932940i | ||||
\(903\) | −3.39228 | − | 6.67026i | −0.112888 | − | 0.221972i | ||||
\(904\) | −8.80776 | − | 5.69681i | −0.292942 | − | 0.189473i | ||||
\(905\) | 0 | 0 | ||||||||
\(906\) | 13.3882 | + | 11.6237i | 0.444792 | + | 0.386173i | ||||
\(907\) | − | 2.62926i | − | 0.0873033i | −0.999047 | − | 0.0436516i | \(-0.986101\pi\) | ||
0.999047 | − | 0.0436516i | \(-0.0138992\pi\) | |||||||
\(908\) | −3.95003 | − | 27.8579i | −0.131086 | − | 0.924495i | ||||
\(909\) | 6.10281i | 0.202418i | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | − | 40.3652i | − | 1.33736i | −0.743551 | − | 0.668679i | \(-0.766860\pi\) | ||
0.743551 | − | 0.668679i | \(-0.233140\pi\) | |||||||
\(912\) | 14.2497 | − | 4.12391i | 0.471855 | − | 0.136556i | ||||
\(913\) | − | 38.5088i | − | 1.27446i | ||||||
\(914\) | −34.8078 | + | 40.0914i | −1.15134 | + | 1.32611i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −15.9194 | + | 2.25725i | −0.525992 | + | 0.0745817i | ||||
\(917\) | −13.2084 | + | 6.71737i | −0.436180 | + | 0.221827i | ||||
\(918\) | −8.05200 | − | 6.99083i | −0.265756 | − | 0.230732i | ||||
\(919\) | − | 11.7743i | − | 0.388398i | −0.980962 | − | 0.194199i | \(-0.937789\pi\) | ||
0.980962 | − | 0.194199i | \(-0.0622107\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 17.3153 | 0.570560 | ||||||||
\(922\) | −21.0387 | − | 18.2660i | −0.692874 | − | 0.601560i | ||||
\(923\) | 45.0979 | 1.48442 | ||||||||
\(924\) | −8.87206 | + | 6.21845i | −0.291869 | + | 0.204572i | ||||
\(925\) | 0 | 0 | ||||||||
\(926\) | 29.0540 | + | 25.2250i | 0.954773 | + | 0.828943i | ||||
\(927\) | 2.64861 | 0.0869919 | ||||||||
\(928\) | 8.45851 | − | 18.2856i | 0.277664 | − | 0.600254i | ||||
\(929\) | 17.6670i | 0.579634i | 0.957082 | + | 0.289817i | \(0.0935944\pi\) | ||||
−0.957082 | + | 0.289817i | \(0.906406\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −23.0928 | + | 31.6831i | −0.756837 | + | 1.03837i | ||||
\(932\) | −2.08258 | − | 14.6875i | −0.0682172 | − | 0.481106i | ||||
\(933\) | 13.2084 | 0.432424 | ||||||||
\(934\) | −28.7692 | + | 33.1363i | −0.941358 | + | 1.08425i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | −18.3751 | + | 28.4095i | −0.600608 | + | 0.928593i | ||||
\(937\) | − | 38.7609i | − | 1.26626i | −0.774045 | − | 0.633131i | \(-0.781769\pi\) | ||
0.774045 | − | 0.633131i | \(-0.218231\pi\) | |||||||
\(938\) | −8.70822 | − | 2.17256i | −0.284333 | − | 0.0709366i | ||||
\(939\) | − | 7.54011i | − | 0.246062i | ||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 37.9119i | 1.23589i | 0.786220 | + | 0.617946i | \(0.212035\pi\) | ||||
−0.786220 | + | 0.617946i | \(0.787965\pi\) | |||||||
\(942\) | 1.85431 | + | 1.60993i | 0.0604165 | + | 0.0524542i | ||||
\(943\) | 15.8917 | 0.517504 | ||||||||
\(944\) | −30.9557 | + | 8.95869i | −1.00752 | + | 0.291581i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 12.2462 | − | 14.1051i | 0.398159 | − | 0.458597i | ||||
\(947\) | 41.5991i | 1.35179i | 0.736998 | + | 0.675895i | \(0.236243\pi\) | ||||
−0.736998 | + | 0.675895i | \(0.763757\pi\) | |||||||
\(948\) | −1.77766 | + | 0.252058i | −0.0577356 | + | 0.00818647i | ||||
\(949\) | 19.1231 | 0.620762 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 21.0243 | 0.681761 | ||||||||
\(952\) | 1.58513 | − | 15.2398i | 0.0513743 | − | 0.493926i | ||||
\(953\) | 24.7908 | 0.803053 | 0.401526 | − | 0.915848i | \(-0.368480\pi\) | ||||
0.401526 | + | 0.915848i | \(0.368480\pi\) | |||||||
\(954\) | 22.5616 | − | 25.9863i | 0.730457 | − | 0.841337i | ||||
\(955\) | 0 | 0 | ||||||||
\(956\) | 6.12311 | − | 0.868210i | 0.198035 | − | 0.0280799i | ||||
\(957\) | − | 7.29226i | − | 0.235725i | ||||||
\(958\) | −3.55531 | + | 4.09499i | −0.114867 | + | 0.132303i | ||||
\(959\) | 31.1493 | − | 15.8415i | 1.00586 | − | 0.511550i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 45.4924 | 1.46750 | ||||||||
\(962\) | 18.4945 | + | 16.0571i | 0.596287 | + | 0.517703i | ||||
\(963\) | − | 37.6229i | − | 1.21238i | ||||||
\(964\) | 37.4396 | − | 5.30866i | 1.20585 | − | 0.170980i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | −4.50209 | − | 1.12320i | −0.144852 | − | 0.0361384i | ||||
\(967\) | 18.1379i | 0.583277i | 0.956529 | + | 0.291638i | \(0.0942004\pi\) | ||||
−0.956529 | + | 0.291638i | \(0.905800\pi\) | |||||||
\(968\) | 3.41624 | + | 2.20960i | 0.109802 | + | 0.0710193i | ||||
\(969\) | 7.59336i | 0.243934i | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −32.9155 | −1.05631 | −0.528154 | − | 0.849148i | \(-0.677116\pi\) | ||||
−0.528154 | + | 0.849148i | \(0.677116\pi\) | |||||||
\(972\) | −4.07732 | − | 28.7556i | −0.130780 | − | 0.922335i | ||||
\(973\) | −33.8340 | + | 17.2069i | −1.08467 | + | 0.551628i | ||||
\(974\) | −41.6155 | − | 36.1310i | −1.33345 | − | 1.15771i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 7.17341 | + | 24.7869i | 0.229615 | + | 0.793409i | ||||
\(977\) | 5.79119 | 0.185277 | 0.0926383 | − | 0.995700i | \(-0.470470\pi\) | ||||
0.0926383 | + | 0.995700i | \(0.470470\pi\) | |||||||
\(978\) | −11.1293 | − | 9.66259i | −0.355876 | − | 0.308975i | ||||
\(979\) | −8.74599 | −0.279523 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 1.12311 | 0.0358580 | ||||||||
\(982\) | 7.01071 | + | 6.08677i | 0.223721 | + | 0.194237i | ||||
\(983\) | −38.4406 | −1.22607 | −0.613033 | − | 0.790057i | \(-0.710051\pi\) | ||||
−0.613033 | + | 0.790057i | \(0.710051\pi\) | |||||||
\(984\) | 8.63068 | − | 13.3438i | 0.275136 | − | 0.425385i | ||||
\(985\) | 0 | 0 | ||||||||
\(986\) | 7.78733 | + | 6.76104i | 0.247999 | + | 0.215315i | ||||
\(987\) | 0.453349 | − | 0.230559i | 0.0144303 | − | 0.00733876i | ||||
\(988\) | 51.7924 | − | 7.34376i | 1.64773 | − | 0.233636i | ||||
\(989\) | 8.00000 | 0.254385 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 50.2361i | 1.59580i | 0.602787 | + | 0.797902i | \(0.294057\pi\) | ||||
−0.602787 | + | 0.797902i | \(0.705943\pi\) | |||||||
\(992\) | −20.7713 | + | 44.9033i | −0.659489 | + | 1.42568i | ||||
\(993\) | 1.14978i | 0.0364871i | ||||||||
\(994\) | −35.0593 | − | 8.74673i | −1.11201 | − | 0.277430i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | −2.31534 | − | 16.3291i | −0.0733644 | − | 0.517407i | ||||
\(997\) | − | 26.7987i | − | 0.848724i | −0.905493 | − | 0.424362i | \(-0.860498\pi\) | ||
0.905493 | − | 0.424362i | \(-0.139502\pi\) | |||||||
\(998\) | 36.3231 | + | 31.5361i | 1.14979 | + | 0.998258i | ||||
\(999\) | −13.6573 | −0.432099 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))