Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [600,2,Mod(251,600)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(600, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1, 1, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("600.251");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 600 = 2^{3} \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 600.b (of order \(2\), degree \(1\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.79102412128\) |
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: | \( x^{16} + 24x^{14} + 192x^{12} + 672x^{10} + 1092x^{8} + 880x^{6} + 352x^{4} + 64x^{2} + 4 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 2^{15} \) |
Twist minimal: | no (minimal twist has level 120) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 251.11 | ||
Root | \(-0.357857i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 600.251 |
Dual form | 600.2.b.i.251.9 |
$q$-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 \(\left(\mathbb{Z}/600\mathbb{Z}\right)^\times\).
\(n\) | \(151\) | \(301\) | \(401\) | \(577\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(-1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.541196 | + | 1.30656i | 0.382683 | + | 0.923880i | ||||
\(3\) | −1.64533 | + | 0.541196i | −0.949931 | + | 0.312460i | ||||
\(4\) | −1.41421 | + | 1.41421i | −0.707107 | + | 0.707107i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | −1.59755 | − | 1.85683i | −0.652198 | − | 0.758049i | ||||
\(7\) | − | 3.29066i | − | 1.24375i | −0.783116 | − | 0.621876i | \(-0.786371\pi\) | ||
0.783116 | − | 0.621876i | \(-0.213629\pi\) | |||||||
\(8\) | −2.61313 | − | 1.08239i | −0.923880 | − | 0.382683i | ||||
\(9\) | 2.41421 | − | 1.78089i | 0.804738 | − | 0.593630i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 2.51856i | 0.759374i | 0.925115 | + | 0.379687i | \(0.123968\pi\) | ||||
−0.925115 | + | 0.379687i | \(0.876032\pi\) | |||||||
\(12\) | 1.56148 | − | 3.09221i | 0.450760 | − | 0.892645i | ||||
\(13\) | − | 4.65369i | − | 1.29070i | −0.763886 | − | 0.645351i | \(-0.776711\pi\) | ||
0.763886 | − | 0.645351i | \(-0.223289\pi\) | |||||||
\(14\) | 4.29945 | − | 1.78089i | 1.14908 | − | 0.475963i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | − | 4.00000i | − | 1.00000i | ||||||
\(17\) | − | 3.69552i | − | 0.896295i | −0.893960 | − | 0.448147i | \(-0.852084\pi\) | ||
0.893960 | − | 0.448147i | \(-0.147916\pi\) | |||||||
\(18\) | 3.63341 | + | 2.19051i | 0.856403 | + | 0.516308i | ||||
\(19\) | −0.828427 | −0.190054 | −0.0950271 | − | 0.995475i | \(-0.530294\pi\) | ||||
−0.0950271 | + | 0.995475i | \(0.530294\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 1.78089 | + | 5.41421i | 0.388622 | + | 1.18148i | ||||
\(22\) | −3.29066 | + | 1.36303i | −0.701571 | + | 0.290600i | ||||
\(23\) | 2.61313 | 0.544874 | 0.272437 | − | 0.962174i | \(-0.412170\pi\) | ||||
0.272437 | + | 0.962174i | \(0.412170\pi\) | |||||||
\(24\) | 4.88524 | + | 0.366677i | 0.997195 | + | 0.0748477i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | 6.08034 | − | 2.51856i | 1.19245 | − | 0.493930i | ||||
\(27\) | −3.00836 | + | 4.23671i | −0.578960 | + | 0.815356i | ||||
\(28\) | 4.65369 | + | 4.65369i | 0.879465 | + | 0.879465i | ||||
\(29\) | 6.08034 | 1.12909 | 0.564546 | − | 0.825402i | \(-0.309051\pi\) | ||||
0.564546 | + | 0.825402i | \(0.309051\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | − | 1.17157i | − | 0.210421i | −0.994450 | − | 0.105210i | \(-0.966448\pi\) | ||
0.994450 | − | 0.105210i | \(-0.0335516\pi\) | |||||||
\(32\) | 5.22625 | − | 2.16478i | 0.923880 | − | 0.382683i | ||||
\(33\) | −1.36303 | − | 4.14386i | −0.237274 | − | 0.721353i | ||||
\(34\) | 4.82843 | − | 2.00000i | 0.828068 | − | 0.342997i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −0.895653 | + | 5.93277i | −0.149276 | + | 0.988796i | ||||
\(37\) | 1.92762i | 0.316899i | 0.987367 | + | 0.158450i | \(0.0506495\pi\) | ||||
−0.987367 | + | 0.158450i | \(0.949350\pi\) | |||||||
\(38\) | −0.448342 | − | 1.08239i | −0.0727306 | − | 0.175587i | ||||
\(39\) | 2.51856 | + | 7.65685i | 0.403292 | + | 1.22608i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | − | 8.59890i | − | 1.34292i | −0.741039 | − | 0.671461i | \(-0.765667\pi\) | ||
0.741039 | − | 0.671461i | \(-0.234333\pi\) | |||||||
\(42\) | −6.11020 | + | 5.25700i | −0.942824 | + | 0.811172i | ||||
\(43\) | −6.01673 | −0.917542 | −0.458771 | − | 0.888554i | \(-0.651710\pi\) | ||||
−0.458771 | + | 0.888554i | \(0.651710\pi\) | |||||||
\(44\) | −3.56178 | − | 3.56178i | −0.536959 | − | 0.536959i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 1.41421 | + | 3.41421i | 0.208514 | + | 0.503398i | ||||
\(47\) | 2.61313 | 0.381164 | 0.190582 | − | 0.981671i | \(-0.438963\pi\) | ||||
0.190582 | + | 0.981671i | \(0.438963\pi\) | |||||||
\(48\) | 2.16478 | + | 6.58132i | 0.312460 | + | 0.949931i | ||||
\(49\) | −3.82843 | −0.546918 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 2.00000 | + | 6.08034i | 0.280056 | + | 0.851418i | ||||
\(52\) | 6.58132 | + | 6.58132i | 0.912664 | + | 0.912664i | ||||
\(53\) | 4.59220 | 0.630787 | 0.315394 | − | 0.948961i | \(-0.397863\pi\) | ||||
0.315394 | + | 0.948961i | \(0.397863\pi\) | |||||||
\(54\) | −7.16365 | − | 1.63772i | −0.974849 | − | 0.222866i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −3.56178 | + | 8.59890i | −0.475963 | + | 1.14908i | ||||
\(57\) | 1.36303 | − | 0.448342i | 0.180538 | − | 0.0593843i | ||||
\(58\) | 3.29066 | + | 7.94435i | 0.432085 | + | 1.04314i | ||||
\(59\) | 2.51856i | 0.327889i | 0.986470 | + | 0.163944i | \(0.0524217\pi\) | ||||
−0.986470 | + | 0.163944i | \(0.947578\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | − | 8.48528i | − | 1.08643i | −0.839594 | − | 0.543214i | \(-0.817207\pi\) | ||
0.839594 | − | 0.543214i | \(-0.182793\pi\) | |||||||
\(62\) | 1.53073 | − | 0.634051i | 0.194403 | − | 0.0805245i | ||||
\(63\) | −5.86030 | − | 7.94435i | −0.738329 | − | 1.00089i | ||||
\(64\) | 5.65685 | + | 5.65685i | 0.707107 | + | 0.707107i | ||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 4.67654 | − | 4.02353i | 0.575643 | − | 0.495263i | ||||
\(67\) | −3.29066 | −0.402018 | −0.201009 | − | 0.979589i | \(-0.564422\pi\) | ||||
−0.201009 | + | 0.979589i | \(0.564422\pi\) | |||||||
\(68\) | 5.22625 | + | 5.22625i | 0.633776 | + | 0.633776i | ||||
\(69\) | −4.29945 | + | 1.41421i | −0.517593 | + | 0.170251i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −7.12356 | −0.845412 | −0.422706 | − | 0.906267i | \(-0.638920\pi\) | ||||
−0.422706 | + | 0.906267i | \(0.638920\pi\) | |||||||
\(72\) | −8.23627 | + | 2.04057i | −0.970653 | + | 0.240483i | ||||
\(73\) | −6.58132 | −0.770285 | −0.385142 | − | 0.922857i | \(-0.625848\pi\) | ||||
−0.385142 | + | 0.922857i | \(0.625848\pi\) | |||||||
\(74\) | −2.51856 | + | 1.04322i | −0.292777 | + | 0.121272i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 1.17157 | − | 1.17157i | 0.134389 | − | 0.134389i | ||||
\(77\) | 8.28772 | 0.944473 | ||||||||
\(78\) | −8.64113 | + | 7.43452i | −0.978415 | + | 0.841793i | ||||
\(79\) | − | 16.4853i | − | 1.85474i | −0.374147 | − | 0.927370i | \(-0.622064\pi\) | ||
0.374147 | − | 0.927370i | \(-0.377936\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 2.65685 | − | 8.59890i | 0.295206 | − | 0.955434i | ||||
\(82\) | 11.2350 | − | 4.65369i | 1.24070 | − | 0.513914i | ||||
\(83\) | − | 9.37011i | − | 1.02850i | −0.857639 | − | 0.514252i | \(-0.828070\pi\) | ||
0.857639 | − | 0.514252i | \(-0.171930\pi\) | |||||||
\(84\) | −10.1754 | − | 5.13829i | −1.11023 | − | 0.560634i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | −3.25623 | − | 7.86123i | −0.351128 | − | 0.847699i | ||||
\(87\) | −10.0042 | + | 3.29066i | −1.07256 | + | 0.352796i | ||||
\(88\) | 2.72607 | − | 6.58132i | 0.290600 | − | 0.701571i | ||||
\(89\) | − | 5.03712i | − | 0.533934i | −0.963706 | − | 0.266967i | \(-0.913979\pi\) | ||
0.963706 | − | 0.266967i | \(-0.0860214\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −15.3137 | −1.60531 | ||||||||
\(92\) | −3.69552 | + | 3.69552i | −0.385284 | + | 0.385284i | ||||
\(93\) | 0.634051 | + | 1.92762i | 0.0657480 | + | 0.199885i | ||||
\(94\) | 1.41421 | + | 3.41421i | 0.145865 | + | 0.352149i | ||||
\(95\) | 0 | 0 | ||||||||
\(96\) | −7.42733 | + | 6.39021i | −0.758049 | + | 0.652198i | ||||
\(97\) | −2.72607 | −0.276790 | −0.138395 | − | 0.990377i | \(-0.544194\pi\) | ||||
−0.138395 | + | 0.990377i | \(0.544194\pi\) | |||||||
\(98\) | −2.07193 | − | 5.00208i | −0.209297 | − | 0.505286i | ||||
\(99\) | 4.48528 | + | 6.08034i | 0.450788 | + | 0.611097i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 13.2039 | 1.31384 | 0.656919 | − | 0.753961i | \(-0.271859\pi\) | ||||
0.656919 | + | 0.753961i | \(0.271859\pi\) | |||||||
\(102\) | −6.86196 | + | 5.90378i | −0.679435 | + | 0.584562i | ||||
\(103\) | − | 6.01673i | − | 0.592846i | −0.955057 | − | 0.296423i | \(-0.904206\pi\) | ||
0.955057 | − | 0.296423i | \(-0.0957938\pi\) | |||||||
\(104\) | −5.03712 | + | 12.1607i | −0.493930 | + | 1.19245i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 2.48528 | + | 6.00000i | 0.241392 | + | 0.582772i | ||||
\(107\) | − | 8.47343i | − | 0.819157i | −0.912275 | − | 0.409579i | \(-0.865676\pi\) | ||
0.912275 | − | 0.409579i | \(-0.134324\pi\) | |||||||
\(108\) | −1.73715 | − | 10.2461i | −0.167157 | − | 0.985930i | ||||
\(109\) | − | 0.485281i | − | 0.0464815i | −0.999730 | − | 0.0232408i | \(-0.992602\pi\) | ||
0.999730 | − | 0.0232408i | \(-0.00739843\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −1.04322 | − | 3.17157i | −0.0990182 | − | 0.301032i | ||||
\(112\) | −13.1626 | −1.24375 | ||||||||
\(113\) | 8.92177i | 0.839290i | 0.907688 | + | 0.419645i | \(0.137845\pi\) | ||||
−0.907688 | + | 0.419645i | \(0.862155\pi\) | |||||||
\(114\) | 1.32346 | + | 1.53825i | 0.123953 | + | 0.144070i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | −8.59890 | + | 8.59890i | −0.798388 | + | 0.798388i | ||||
\(117\) | −8.28772 | − | 11.2350i | −0.766200 | − | 1.03868i | ||||
\(118\) | −3.29066 | + | 1.36303i | −0.302930 | + | 0.125478i | ||||
\(119\) | −12.1607 | −1.11477 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 4.65685 | 0.423350 | ||||||||
\(122\) | 11.0866 | − | 4.59220i | 1.00373 | − | 0.415758i | ||||
\(123\) | 4.65369 | + | 14.1480i | 0.419609 | + | 1.27568i | ||||
\(124\) | 1.65685 | + | 1.65685i | 0.148790 | + | 0.148790i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | 7.20822 | − | 11.9563i | 0.642159 | − | 1.06515i | ||||
\(127\) | 3.29066i | 0.291999i | 0.989285 | + | 0.145999i | \(0.0466397\pi\) | ||||
−0.989285 | + | 0.145999i | \(0.953360\pi\) | |||||||
\(128\) | −4.32957 | + | 10.4525i | −0.382683 | + | 0.923880i | ||||
\(129\) | 9.89949 | − | 3.25623i | 0.871602 | − | 0.286695i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 21.8028i | 1.90492i | 0.304663 | + | 0.952460i | \(0.401456\pi\) | ||||
−0.304663 | + | 0.952460i | \(0.598544\pi\) | |||||||
\(132\) | 7.78793 | + | 3.93268i | 0.677852 | + | 0.342296i | ||||
\(133\) | 2.72607i | 0.236380i | ||||||||
\(134\) | −1.78089 | − | 4.29945i | −0.153846 | − | 0.371416i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −4.00000 | + | 9.65685i | −0.342997 | + | 0.828068i | ||||
\(137\) | 11.9832i | 1.02380i | 0.859046 | + | 0.511899i | \(0.171058\pi\) | ||||
−0.859046 | + | 0.511899i | \(0.828942\pi\) | |||||||
\(138\) | −4.17461 | − | 4.85214i | −0.355366 | − | 0.413041i | ||||
\(139\) | −14.4853 | −1.22863 | −0.614313 | − | 0.789063i | \(-0.710567\pi\) | ||||
−0.614313 | + | 0.789063i | \(0.710567\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −4.29945 | + | 1.41421i | −0.362079 | + | 0.119098i | ||||
\(142\) | −3.85525 | − | 9.30739i | −0.323525 | − | 0.781058i | ||||
\(143\) | 11.7206 | 0.980126 | ||||||||
\(144\) | −7.12356 | − | 9.65685i | −0.593630 | − | 0.804738i | ||||
\(145\) | 0 | 0 | ||||||||
\(146\) | −3.56178 | − | 8.59890i | −0.294775 | − | 0.711650i | ||||
\(147\) | 6.29902 | − | 2.07193i | 0.519535 | − | 0.170890i | ||||
\(148\) | −2.72607 | − | 2.72607i | −0.224082 | − | 0.224082i | ||||
\(149\) | −14.6792 | −1.20257 | −0.601285 | − | 0.799034i | \(-0.705344\pi\) | ||||
−0.601285 | + | 0.799034i | \(0.705344\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 2.82843i | 0.230174i | 0.993355 | + | 0.115087i | \(0.0367147\pi\) | ||||
−0.993355 | + | 0.115087i | \(0.963285\pi\) | |||||||
\(152\) | 2.16478 | + | 0.896683i | 0.175587 | + | 0.0727306i | ||||
\(153\) | −6.58132 | − | 8.92177i | −0.532068 | − | 0.721282i | ||||
\(154\) | 4.48528 | + | 10.8284i | 0.361434 | + | 0.872580i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | −14.3902 | − | 7.26665i | −1.15214 | − | 0.581797i | ||||
\(157\) | − | 5.78287i | − | 0.461523i | −0.973010 | − | 0.230762i | \(-0.925878\pi\) | ||
0.973010 | − | 0.230762i | \(-0.0741217\pi\) | |||||||
\(158\) | 21.5391 | − | 8.92177i | 1.71356 | − | 0.709778i | ||||
\(159\) | −7.55568 | + | 2.48528i | −0.599204 | + | 0.197096i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | − | 8.59890i | − | 0.677688i | ||||||
\(162\) | 12.6729 | − | 1.18235i | 0.995676 | − | 0.0928938i | ||||
\(163\) | 6.01673 | 0.471266 | 0.235633 | − | 0.971842i | \(-0.424284\pi\) | ||||
0.235633 | + | 0.971842i | \(0.424284\pi\) | |||||||
\(164\) | 12.1607 | + | 12.1607i | 0.949590 | + | 0.949590i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 12.2426 | − | 5.07107i | 0.950213 | − | 0.393591i | ||||
\(167\) | 17.3952 | 1.34608 | 0.673040 | − | 0.739606i | \(-0.264988\pi\) | ||||
0.673040 | + | 0.739606i | \(0.264988\pi\) | |||||||
\(168\) | 1.20661 | − | 16.0756i | 0.0930920 | − | 1.24026i | ||||
\(169\) | −8.65685 | −0.665912 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −2.00000 | + | 1.47534i | −0.152944 | + | 0.112822i | ||||
\(172\) | 8.50894 | − | 8.50894i | 0.648800 | − | 0.648800i | ||||
\(173\) | −21.5391 | −1.63758 | −0.818792 | − | 0.574090i | \(-0.805356\pi\) | ||||
−0.818792 | + | 0.574090i | \(0.805356\pi\) | |||||||
\(174\) | −9.71366 | − | 11.2902i | −0.736391 | − | 0.855906i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 10.0742 | 0.759374 | ||||||||
\(177\) | −1.36303 | − | 4.14386i | −0.102452 | − | 0.311472i | ||||
\(178\) | 6.58132 | − | 2.72607i | 0.493290 | − | 0.204328i | ||||
\(179\) | 9.64212i | 0.720686i | 0.932820 | + | 0.360343i | \(0.117340\pi\) | ||||
−0.932820 | + | 0.360343i | \(0.882660\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 10.3431i | 0.768800i | 0.923167 | + | 0.384400i | \(0.125592\pi\) | ||||
−0.923167 | + | 0.384400i | \(0.874408\pi\) | |||||||
\(182\) | −8.28772 | − | 20.0083i | −0.614327 | − | 1.48312i | ||||
\(183\) | 4.59220 | + | 13.9611i | 0.339465 | + | 1.03203i | ||||
\(184\) | −6.82843 | − | 2.82843i | −0.503398 | − | 0.208514i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | −2.17541 | + | 1.87165i | −0.159509 | + | 0.137236i | ||||
\(187\) | 9.30739 | 0.680623 | ||||||||
\(188\) | −3.69552 | + | 3.69552i | −0.269523 | + | 0.269523i | ||||
\(189\) | 13.9416 | + | 9.89949i | 1.01410 | + | 0.720082i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −5.03712 | −0.364473 | −0.182237 | − | 0.983255i | \(-0.558334\pi\) | ||||
−0.182237 | + | 0.983255i | \(0.558334\pi\) | |||||||
\(192\) | −12.3689 | − | 6.24592i | −0.892645 | − | 0.450760i | ||||
\(193\) | 19.7439 | 1.42120 | 0.710600 | − | 0.703596i | \(-0.248424\pi\) | ||||
0.710600 | + | 0.703596i | \(0.248424\pi\) | |||||||
\(194\) | −1.47534 | − | 3.56178i | −0.105923 | − | 0.255721i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 5.41421 | − | 5.41421i | 0.386730 | − | 0.386730i | ||||
\(197\) | −11.9832 | −0.853770 | −0.426885 | − | 0.904306i | \(-0.640389\pi\) | ||||
−0.426885 | + | 0.904306i | \(0.640389\pi\) | |||||||
\(198\) | −5.51693 | + | 9.15096i | −0.392071 | + | 0.650330i | ||||
\(199\) | 9.17157i | 0.650156i | 0.945687 | + | 0.325078i | \(0.105390\pi\) | ||||
−0.945687 | + | 0.325078i | \(0.894610\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 5.41421 | − | 1.78089i | 0.381889 | − | 0.125614i | ||||
\(202\) | 7.14590 | + | 17.2517i | 0.502784 | + | 1.21383i | ||||
\(203\) | − | 20.0083i | − | 1.40431i | ||||||
\(204\) | −11.4273 | − | 5.77048i | −0.800073 | − | 0.404014i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | 7.86123 | − | 3.25623i | 0.547718 | − | 0.226872i | ||||
\(207\) | 6.30864 | − | 4.65369i | 0.438481 | − | 0.323454i | ||||
\(208\) | −18.6148 | −1.29070 | ||||||||
\(209\) | − | 2.08644i | − | 0.144322i | ||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 18.4853 | 1.27258 | 0.636290 | − | 0.771450i | \(-0.280468\pi\) | ||||
0.636290 | + | 0.771450i | \(0.280468\pi\) | |||||||
\(212\) | −6.49435 | + | 6.49435i | −0.446034 | + | 0.446034i | ||||
\(213\) | 11.7206 | − | 3.85525i | 0.803083 | − | 0.264157i | ||||
\(214\) | 11.0711 | − | 4.58579i | 0.756803 | − | 0.313478i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | 12.4470 | − | 7.81484i | 0.846912 | − | 0.531732i | ||||
\(217\) | −3.85525 | −0.261711 | ||||||||
\(218\) | 0.634051 | − | 0.262632i | 0.0429433 | − | 0.0177877i | ||||
\(219\) | 10.8284 | − | 3.56178i | 0.731717 | − | 0.240683i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −17.1978 | −1.15685 | ||||||||
\(222\) | 3.57927 | − | 3.07948i | 0.240225 | − | 0.206681i | ||||
\(223\) | 21.9054i | 1.46690i | 0.679746 | + | 0.733448i | \(0.262090\pi\) | ||||
−0.679746 | + | 0.733448i | \(0.737910\pi\) | |||||||
\(224\) | −7.12356 | − | 17.1978i | −0.475963 | − | 1.14908i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −11.6569 | + | 4.82843i | −0.775402 | + | 0.321182i | ||||
\(227\) | − | 4.14386i | − | 0.275038i | −0.990499 | − | 0.137519i | \(-0.956087\pi\) | ||
0.990499 | − | 0.137519i | \(-0.0439128\pi\) | |||||||
\(228\) | −1.29357 | + | 2.56167i | −0.0856689 | + | 0.169651i | ||||
\(229\) | − | 19.3137i | − | 1.27629i | −0.769918 | − | 0.638143i | \(-0.779703\pi\) | ||
0.769918 | − | 0.638143i | \(-0.220297\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −13.6360 | + | 4.48528i | −0.897184 | + | 0.295110i | ||||
\(232\) | −15.8887 | − | 6.58132i | −1.04314 | − | 0.432085i | ||||
\(233\) | 15.9414i | 1.04436i | 0.852837 | + | 0.522178i | \(0.174880\pi\) | ||||
−0.852837 | + | 0.522178i | \(0.825120\pi\) | |||||||
\(234\) | 10.1940 | − | 16.9088i | 0.666400 | − | 1.10536i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | −3.56178 | − | 3.56178i | −0.231852 | − | 0.231852i | ||||
\(237\) | 8.92177 | + | 27.1237i | 0.579531 | + | 1.76187i | ||||
\(238\) | −6.58132 | − | 15.8887i | −0.426603 | − | 1.02991i | ||||
\(239\) | 22.2349 | 1.43826 | 0.719129 | − | 0.694877i | \(-0.244541\pi\) | ||||
0.719129 | + | 0.694877i | \(0.244541\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −6.48528 | −0.417754 | −0.208877 | − | 0.977942i | \(-0.566981\pi\) | ||||
−0.208877 | + | 0.977942i | \(0.566981\pi\) | |||||||
\(242\) | 2.52027 | + | 6.08447i | 0.162009 | + | 0.391125i | ||||
\(243\) | 0.282294 | + | 15.5859i | 0.0181092 | + | 0.999836i | ||||
\(244\) | 12.0000 | + | 12.0000i | 0.768221 | + | 0.768221i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −15.9667 | + | 13.7372i | −1.01800 | + | 0.875852i | ||||
\(247\) | 3.85525i | 0.245303i | ||||||||
\(248\) | −1.26810 | + | 3.06147i | −0.0805245 | + | 0.194403i | ||||
\(249\) | 5.07107 | + | 15.4169i | 0.321366 | + | 0.977007i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | − | 11.7286i | − | 0.740301i | −0.928972 | − | 0.370150i | \(-0.879306\pi\) | ||
0.928972 | − | 0.370150i | \(-0.120694\pi\) | |||||||
\(252\) | 19.5227 | + | 2.94729i | 1.22982 | + | 0.185662i | ||||
\(253\) | 6.58132i | 0.413764i | ||||||||
\(254\) | −4.29945 | + | 1.78089i | −0.269772 | + | 0.111743i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −16.0000 | −1.00000 | ||||||||
\(257\) | 16.3128i | 1.01756i | 0.860895 | + | 0.508782i | \(0.169904\pi\) | ||||
−0.860895 | + | 0.508782i | \(0.830096\pi\) | |||||||
\(258\) | 9.61204 | + | 11.1721i | 0.598419 | + | 0.695542i | ||||
\(259\) | 6.34315 | 0.394144 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 14.6792 | − | 10.8284i | 0.908622 | − | 0.670263i | ||||
\(262\) | −28.4867 | + | 11.7996i | −1.75992 | + | 0.728981i | ||||
\(263\) | −22.2500 | −1.37200 | −0.685998 | − | 0.727604i | \(-0.740634\pi\) | ||||
−0.685998 | + | 0.727604i | \(0.740634\pi\) | |||||||
\(264\) | −0.923499 | + | 12.3038i | −0.0568375 | + | 0.757244i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | −3.56178 | + | 1.47534i | −0.218387 | + | 0.0904588i | ||||
\(267\) | 2.72607 | + | 8.28772i | 0.166833 | + | 0.507200i | ||||
\(268\) | 4.65369 | − | 4.65369i | 0.284270 | − | 0.284270i | ||||
\(269\) | 9.64212 | 0.587891 | 0.293945 | − | 0.955822i | \(-0.405032\pi\) | ||||
0.293945 | + | 0.955822i | \(0.405032\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | − | 14.1421i | − | 0.859074i | −0.903049 | − | 0.429537i | \(-0.858677\pi\) | ||
0.903049 | − | 0.429537i | \(-0.141323\pi\) | |||||||
\(272\) | −14.7821 | −0.896295 | ||||||||
\(273\) | 25.1961 | − | 8.28772i | 1.52494 | − | 0.501596i | ||||
\(274\) | −15.6569 | + | 6.48528i | −0.945865 | + | 0.391790i | ||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 4.08034 | − | 8.08034i | 0.245608 | − | 0.486379i | ||||
\(277\) | 15.0903i | 0.906685i | 0.891336 | + | 0.453343i | \(0.149769\pi\) | ||||
−0.891336 | + | 0.453343i | \(0.850231\pi\) | |||||||
\(278\) | −7.83938 | − | 18.9259i | −0.470175 | − | 1.13510i | ||||
\(279\) | −2.08644 | − | 2.82843i | −0.124912 | − | 0.169334i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 3.56178i | 0.212478i | 0.994341 | + | 0.106239i | \(0.0338809\pi\) | ||||
−0.994341 | + | 0.106239i | \(0.966119\pi\) | |||||||
\(282\) | −4.17461 | − | 4.85214i | −0.248594 | − | 0.288941i | ||||
\(283\) | 18.0502 | 1.07297 | 0.536486 | − | 0.843909i | \(-0.319751\pi\) | ||||
0.536486 | + | 0.843909i | \(0.319751\pi\) | |||||||
\(284\) | 10.0742 | − | 10.0742i | 0.597796 | − | 0.597796i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 6.34315 | + | 15.3137i | 0.375078 | + | 0.905519i | ||||
\(287\) | −28.2960 | −1.67026 | ||||||||
\(288\) | 8.76204 | − | 14.5336i | 0.516308 | − | 0.856403i | ||||
\(289\) | 3.34315 | 0.196656 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 4.48528 | − | 1.47534i | 0.262932 | − | 0.0864859i | ||||
\(292\) | 9.30739 | − | 9.30739i | 0.544674 | − | 0.544674i | ||||
\(293\) | 2.42742 | 0.141811 | 0.0709056 | − | 0.997483i | \(-0.477411\pi\) | ||||
0.0709056 | + | 0.997483i | \(0.477411\pi\) | |||||||
\(294\) | 6.11611 | + | 7.10875i | 0.356699 | + | 0.414591i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | 2.08644 | − | 5.03712i | 0.121272 | − | 0.292777i | ||||
\(297\) | −10.6704 | − | 7.57675i | −0.619161 | − | 0.439647i | ||||
\(298\) | −7.94435 | − | 19.1794i | −0.460204 | − | 1.11103i | ||||
\(299\) | − | 12.1607i | − | 0.703271i | ||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 19.7990i | 1.14119i | ||||||||
\(302\) | −3.69552 | + | 1.53073i | −0.212653 | + | 0.0880838i | ||||
\(303\) | −21.7248 | + | 7.14590i | −1.24806 | + | 0.410521i | ||||
\(304\) | 3.31371i | 0.190054i | ||||||||
\(305\) | 0 | 0 | ||||||||
\(306\) | 8.09507 | − | 13.4273i | 0.462764 | − | 0.767589i | ||||
\(307\) | 7.14590 | 0.407838 | 0.203919 | − | 0.978988i | \(-0.434632\pi\) | ||||
0.203919 | + | 0.978988i | \(0.434632\pi\) | |||||||
\(308\) | −11.7206 | + | 11.7206i | −0.667843 | + | 0.667843i | ||||
\(309\) | 3.25623 | + | 9.89949i | 0.185240 | + | 0.563163i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 34.3956 | 1.95040 | 0.975198 | − | 0.221334i | \(-0.0710411\pi\) | ||||
0.975198 | + | 0.221334i | \(0.0710411\pi\) | |||||||
\(312\) | 1.70640 | − | 22.7344i | 0.0966061 | − | 1.28708i | ||||
\(313\) | −17.0179 | −0.961907 | −0.480954 | − | 0.876746i | \(-0.659709\pi\) | ||||
−0.480954 | + | 0.876746i | \(0.659709\pi\) | |||||||
\(314\) | 7.55568 | − | 3.12967i | 0.426392 | − | 0.176617i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 23.3137 | + | 23.3137i | 1.31150 | + | 1.31150i | ||||
\(317\) | −13.2513 | −0.744269 | −0.372135 | − | 0.928179i | \(-0.621374\pi\) | ||||
−0.372135 | + | 0.928179i | \(0.621374\pi\) | |||||||
\(318\) | −7.33628 | − | 8.52695i | −0.411398 | − | 0.478168i | ||||
\(319\) | 15.3137i | 0.857403i | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 4.58579 | + | 13.9416i | 0.255954 | + | 0.778143i | ||||
\(322\) | 11.2350 | − | 4.65369i | 0.626102 | − | 0.259340i | ||||
\(323\) | 3.06147i | 0.170345i | ||||||||
\(324\) | 8.40333 | + | 15.9180i | 0.466851 | + | 0.884336i | ||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 3.25623 | + | 7.86123i | 0.180346 | + | 0.435393i | ||||
\(327\) | 0.262632 | + | 0.798447i | 0.0145236 | + | 0.0441542i | ||||
\(328\) | −9.30739 | + | 22.4700i | −0.513914 | + | 1.24070i | ||||
\(329\) | − | 8.59890i | − | 0.474073i | ||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −18.4853 | −1.01604 | −0.508021 | − | 0.861344i | \(-0.669623\pi\) | ||||
−0.508021 | + | 0.861344i | \(0.669623\pi\) | |||||||
\(332\) | 13.2513 | + | 13.2513i | 0.727262 | + | 0.727262i | ||||
\(333\) | 3.43289 | + | 4.65369i | 0.188121 | + | 0.255021i | ||||
\(334\) | 9.41421 | + | 22.7279i | 0.515123 | + | 1.24362i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | 21.6569 | − | 7.12356i | 1.18148 | − | 0.388622i | ||||
\(337\) | 27.9222 | 1.52102 | 0.760508 | − | 0.649328i | \(-0.224950\pi\) | ||||
0.760508 | + | 0.649328i | \(0.224950\pi\) | |||||||
\(338\) | −4.68506 | − | 11.3107i | −0.254833 | − | 0.615222i | ||||
\(339\) | −4.82843 | − | 14.6792i | −0.262244 | − | 0.797267i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 2.95068 | 0.159788 | ||||||||
\(342\) | −3.01001 | − | 1.81468i | −0.162763 | − | 0.0981266i | ||||
\(343\) | − | 10.4366i | − | 0.563521i | ||||||
\(344\) | 15.7225 | + | 6.51246i | 0.847699 | + | 0.351128i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −11.6569 | − | 28.1421i | −0.626676 | − | 1.51293i | ||||
\(347\) | 0.185709i | 0.00996939i | 0.999988 | + | 0.00498469i | \(0.00158668\pi\) | ||||
−0.999988 | + | 0.00498469i | \(0.998413\pi\) | |||||||
\(348\) | 9.49433 | − | 18.8017i | 0.508949 | − | 1.00788i | ||||
\(349\) | − | 2.34315i | − | 0.125426i | −0.998032 | − | 0.0627129i | \(-0.980025\pi\) | ||
0.998032 | − | 0.0627129i | \(-0.0199752\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 19.7164 | + | 14.0000i | 1.05238 | + | 0.747265i | ||||
\(352\) | 5.45214 | + | 13.1626i | 0.290600 | + | 0.701571i | ||||
\(353\) | 32.3630i | 1.72251i | 0.508175 | + | 0.861254i | \(0.330320\pi\) | ||||
−0.508175 | + | 0.861254i | \(0.669680\pi\) | |||||||
\(354\) | 4.67654 | − | 4.02353i | 0.248556 | − | 0.213848i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | 7.12356 | + | 7.12356i | 0.377548 | + | 0.377548i | ||||
\(357\) | 20.0083 | − | 6.58132i | 1.05895 | − | 0.348320i | ||||
\(358\) | −12.5980 | + | 5.21828i | −0.665827 | + | 0.275795i | ||||
\(359\) | 9.21001 | 0.486086 | 0.243043 | − | 0.970016i | \(-0.421854\pi\) | ||||
0.243043 | + | 0.970016i | \(0.421854\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −18.3137 | −0.963879 | ||||||||
\(362\) | −13.5140 | + | 5.59767i | −0.710279 | + | 0.294207i | ||||
\(363\) | −7.66206 | + | 2.52027i | −0.402154 | + | 0.132280i | ||||
\(364\) | 21.6569 | − | 21.6569i | 1.13513 | − | 1.13513i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | −15.7557 | + | 13.5557i | −0.823566 | + | 0.708567i | ||||
\(367\) | 2.16148i | 0.112828i | 0.998407 | + | 0.0564142i | \(0.0179667\pi\) | ||||
−0.998407 | + | 0.0564142i | \(0.982033\pi\) | |||||||
\(368\) | − | 10.4525i | − | 0.544874i | ||||||
\(369\) | −15.3137 | − | 20.7596i | −0.797200 | − | 1.08070i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | − | 15.1114i | − | 0.784543i | ||||||
\(372\) | −3.62275 | − | 1.82939i | −0.187831 | − | 0.0948493i | ||||
\(373\) | 24.3976i | 1.26326i | 0.775269 | + | 0.631631i | \(0.217614\pi\) | ||||
−0.775269 | + | 0.631631i | \(0.782386\pi\) | |||||||
\(374\) | 5.03712 | + | 12.1607i | 0.260463 | + | 0.628814i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −6.82843 | − | 2.82843i | −0.352149 | − | 0.145865i | ||||
\(377\) | − | 28.2960i | − | 1.45732i | ||||||
\(378\) | −5.38919 | + | 23.5731i | −0.277190 | + | 1.21247i | ||||
\(379\) | −20.8284 | −1.06988 | −0.534942 | − | 0.844889i | \(-0.679667\pi\) | ||||
−0.534942 | + | 0.844889i | \(0.679667\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −1.78089 | − | 5.41421i | −0.0912378 | − | 0.277379i | ||||
\(382\) | −2.72607 | − | 6.58132i | −0.139478 | − | 0.336729i | ||||
\(383\) | 29.1158 | 1.48775 | 0.743874 | − | 0.668320i | \(-0.232986\pi\) | ||||
0.743874 | + | 0.668320i | \(0.232986\pi\) | |||||||
\(384\) | 1.46671 | − | 19.5410i | 0.0748477 | − | 0.997195i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 10.6853 | + | 25.7967i | 0.543870 | + | 1.31302i | ||||
\(387\) | −14.5257 | + | 10.7151i | −0.738381 | + | 0.544681i | ||||
\(388\) | 3.85525 | − | 3.85525i | 0.195720 | − | 0.195720i | ||||
\(389\) | 7.55568 | 0.383088 | 0.191544 | − | 0.981484i | \(-0.438650\pi\) | ||||
0.191544 | + | 0.981484i | \(0.438650\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | − | 9.65685i | − | 0.488368i | ||||||
\(392\) | 10.0042 | + | 4.14386i | 0.505286 | + | 0.209297i | ||||
\(393\) | −11.7996 | − | 35.8728i | −0.595211 | − | 1.80954i | ||||
\(394\) | −6.48528 | − | 15.6569i | −0.326724 | − | 0.788781i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | −14.9420 | − | 2.25576i | −0.750866 | − | 0.113356i | ||||
\(397\) | − | 27.1237i | − | 1.36130i | −0.732609 | − | 0.680650i | \(-0.761697\pi\) | ||
0.732609 | − | 0.680650i | \(-0.238303\pi\) | |||||||
\(398\) | −11.9832 | + | 4.96362i | −0.600665 | + | 0.248804i | ||||
\(399\) | −1.47534 | − | 4.48528i | −0.0738593 | − | 0.224545i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 15.1114i | 0.754625i | 0.926086 | + | 0.377313i | \(0.123152\pi\) | ||||
−0.926086 | + | 0.377313i | \(0.876848\pi\) | |||||||
\(402\) | 5.25700 | + | 6.11020i | 0.262195 | + | 0.304749i | ||||
\(403\) | −5.45214 | −0.271590 | ||||||||
\(404\) | −18.6731 | + | 18.6731i | −0.929024 | + | 0.929024i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 26.1421 | − | 10.8284i | 1.29741 | − | 0.537406i | ||||
\(407\) | −4.85483 | −0.240645 | ||||||||
\(408\) | 1.35506 | − | 18.0535i | 0.0670856 | − | 0.893781i | ||||
\(409\) | 12.8284 | 0.634325 | 0.317162 | − | 0.948371i | \(-0.397270\pi\) | ||||
0.317162 | + | 0.948371i | \(0.397270\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −6.48528 | − | 19.7164i | −0.319895 | − | 0.972537i | ||||
\(412\) | 8.50894 | + | 8.50894i | 0.419205 | + | 0.419205i | ||||
\(413\) | 8.28772 | 0.407812 | ||||||||
\(414\) | 9.49456 | + | 5.72408i | 0.466632 | + | 0.281323i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | −10.0742 | − | 24.3214i | −0.493930 | − | 1.19245i | ||||
\(417\) | 23.8331 | − | 7.83938i | 1.16711 | − | 0.383896i | ||||
\(418\) | 2.72607 | − | 1.12918i | 0.133336 | − | 0.0552298i | ||||
\(419\) | − | 2.51856i | − | 0.123040i | −0.998106 | − | 0.0615199i | \(-0.980405\pi\) | ||
0.998106 | − | 0.0615199i | \(-0.0195948\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | − | 34.8284i | − | 1.69743i | −0.528848 | − | 0.848717i | \(-0.677376\pi\) | ||
0.528848 | − | 0.848717i | \(-0.322624\pi\) | |||||||
\(422\) | 10.0042 | + | 24.1522i | 0.486995 | + | 1.17571i | ||||
\(423\) | 6.30864 | − | 4.65369i | 0.306737 | − | 0.226270i | ||||
\(424\) | −12.0000 | − | 4.97056i | −0.582772 | − | 0.241392i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | 11.3803 | + | 13.2273i | 0.551376 | + | 0.640863i | ||||
\(427\) | −27.9222 | −1.35125 | ||||||||
\(428\) | 11.9832 | + | 11.9832i | 0.579232 | + | 0.579232i | ||||
\(429\) | −19.2842 | + | 6.34315i | −0.931052 | + | 0.306250i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −27.2720 | −1.31365 | −0.656824 | − | 0.754044i | \(-0.728101\pi\) | ||||
−0.656824 | + | 0.754044i | \(0.728101\pi\) | |||||||
\(432\) | 16.9469 | + | 12.0335i | 0.815356 | + | 0.578960i | ||||
\(433\) | 23.5992 | 1.13410 | 0.567052 | − | 0.823682i | \(-0.308084\pi\) | ||||
0.567052 | + | 0.823682i | \(0.308084\pi\) | |||||||
\(434\) | −2.08644 | − | 5.03712i | −0.100152 | − | 0.241790i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 0.686292 | + | 0.686292i | 0.0328674 | + | 0.0328674i | ||||
\(437\) | −2.16478 | −0.103556 | ||||||||
\(438\) | 10.5140 | + | 12.2204i | 0.502378 | + | 0.583913i | ||||
\(439\) | − | 28.4853i | − | 1.35953i | −0.733431 | − | 0.679764i | \(-0.762082\pi\) | ||
0.733431 | − | 0.679764i | \(-0.237918\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −9.24264 | + | 6.81801i | −0.440126 | + | 0.324667i | ||||
\(442\) | −9.30739 | − | 22.4700i | −0.442707 | − | 1.06879i | ||||
\(443\) | − | 1.60766i | − | 0.0763821i | −0.999270 | − | 0.0381910i | \(-0.987840\pi\) | ||
0.999270 | − | 0.0381910i | \(-0.0121595\pi\) | |||||||
\(444\) | 5.96062 | + | 3.00994i | 0.282878 | + | 0.142846i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | −28.6208 | + | 11.8551i | −1.35524 | + | 0.561357i | ||||
\(447\) | 24.1522 | − | 7.94435i | 1.14236 | − | 0.375755i | ||||
\(448\) | 18.6148 | − | 18.6148i | 0.879465 | − | 0.879465i | ||||
\(449\) | 35.0067i | 1.65207i | 0.563620 | + | 0.826035i | \(0.309408\pi\) | ||||
−0.563620 | + | 0.826035i | \(0.690592\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 21.6569 | 1.01978 | ||||||||
\(452\) | −12.6173 | − | 12.6173i | −0.593467 | − | 0.593467i | ||||
\(453\) | −1.53073 | − | 4.65369i | −0.0719201 | − | 0.218650i | ||||
\(454\) | 5.41421 | − | 2.24264i | 0.254102 | − | 0.105252i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −4.04706 | − | 0.303766i | −0.189521 | − | 0.0142251i | ||||
\(457\) | −18.6148 | −0.870762 | −0.435381 | − | 0.900246i | \(-0.643386\pi\) | ||||
−0.435381 | + | 0.900246i | \(0.643386\pi\) | |||||||
\(458\) | 25.2346 | − | 10.4525i | 1.17913 | − | 0.488413i | ||||
\(459\) | 15.6569 | + | 11.1175i | 0.730799 | + | 0.518919i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 3.99390 | 0.186014 | 0.0930072 | − | 0.995665i | \(-0.470352\pi\) | ||||
0.0930072 | + | 0.995665i | \(0.470352\pi\) | |||||||
\(462\) | −13.2401 | − | 15.3889i | −0.615984 | − | 0.715957i | ||||
\(463\) | − | 25.7607i | − | 1.19720i | −0.801048 | − | 0.598600i | \(-0.795724\pi\) | ||
0.801048 | − | 0.598600i | \(-0.204276\pi\) | |||||||
\(464\) | − | 24.3214i | − | 1.12909i | ||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −20.8284 | + | 8.62742i | −0.964858 | + | 0.399657i | ||||
\(467\) | 15.8645i | 0.734120i | 0.930197 | + | 0.367060i | \(0.119636\pi\) | ||||
−0.930197 | + | 0.367060i | \(0.880364\pi\) | |||||||
\(468\) | 27.6093 | + | 4.16810i | 1.27624 | + | 0.192670i | ||||
\(469\) | 10.8284i | 0.500010i | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 3.12967 | + | 9.51472i | 0.144207 | + | 0.438415i | ||||
\(472\) | 2.72607 | − | 6.58132i | 0.125478 | − | 0.302930i | ||||
\(473\) | − | 15.1535i | − | 0.696758i | ||||||
\(474\) | −30.6104 | + | 26.3361i | −1.40598 | + | 1.20966i | ||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 17.1978 | − | 17.1978i | 0.788260 | − | 0.788260i | ||||
\(477\) | 11.0866 | − | 8.17821i | 0.507618 | − | 0.374455i | ||||
\(478\) | 12.0335 | + | 29.0513i | 0.550397 | + | 1.32878i | ||||
\(479\) | −19.2842 | −0.881120 | −0.440560 | − | 0.897723i | \(-0.645220\pi\) | ||||
−0.440560 | + | 0.897723i | \(0.645220\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 8.97056 | 0.409022 | ||||||||
\(482\) | −3.50981 | − | 8.47343i | −0.159867 | − | 0.385954i | ||||
\(483\) | 4.65369 | + | 14.1480i | 0.211750 | + | 0.643757i | ||||
\(484\) | −6.58579 | + | 6.58579i | −0.299354 | + | 0.299354i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | −20.2112 | + | 8.80386i | −0.916798 | + | 0.399351i | ||||
\(487\) | 8.74280i | 0.396174i | 0.980184 | + | 0.198087i | \(0.0634729\pi\) | ||||
−0.980184 | + | 0.198087i | \(0.936527\pi\) | |||||||
\(488\) | −9.18440 | + | 22.1731i | −0.415758 | + | 1.00373i | ||||
\(489\) | −9.89949 | + | 3.25623i | −0.447671 | + | 0.147252i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | − | 36.9142i | − | 1.66591i | −0.553338 | − | 0.832957i | \(-0.686646\pi\) | ||
0.553338 | − | 0.832957i | \(-0.313354\pi\) | |||||||
\(492\) | −26.5896 | − | 13.4270i | −1.19875 | − | 0.605336i | ||||
\(493\) | − | 22.4700i | − | 1.01200i | ||||||
\(494\) | −5.03712 | + | 2.08644i | −0.226631 | + | 0.0938735i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −4.68629 | −0.210421 | ||||||||
\(497\) | 23.4412i | 1.05148i | ||||||||
\(498\) | −17.3987 | + | 14.9692i | −0.779656 | + | 0.670788i | ||||
\(499\) | 37.1127 | 1.66139 | 0.830696 | − | 0.556726i | \(-0.187943\pi\) | ||||
0.830696 | + | 0.556726i | \(0.187943\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −28.6208 | + | 9.41421i | −1.27868 | + | 0.420596i | ||||
\(502\) | 15.3241 | − | 6.34746i | 0.683949 | − | 0.283301i | ||||
\(503\) | 9.63274 | 0.429503 | 0.214751 | − | 0.976669i | \(-0.431106\pi\) | ||||
0.214751 | + | 0.976669i | \(0.431106\pi\) | |||||||
\(504\) | 6.71481 | + | 27.1027i | 0.299101 | + | 1.20725i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | −8.59890 | + | 3.56178i | −0.382268 | + | 0.158341i | ||||
\(507\) | 14.2434 | − | 4.68506i | 0.632570 | − | 0.208071i | ||||
\(508\) | −4.65369 | − | 4.65369i | −0.206474 | − | 0.206474i | ||||
\(509\) | −13.2039 | −0.585253 | −0.292626 | − | 0.956227i | \(-0.594529\pi\) | ||||
−0.292626 | + | 0.956227i | \(0.594529\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 21.6569i | 0.958043i | ||||||||
\(512\) | −8.65914 | − | 20.9050i | −0.382683 | − | 0.923880i | ||||
\(513\) | 2.49221 | − | 3.50981i | 0.110034 | − | 0.154962i | ||||
\(514\) | −21.3137 | + | 8.82843i | −0.940107 | + | 0.389405i | ||||
\(515\) | 0 | 0 | ||||||||
\(516\) | −9.39500 | + | 18.6050i | −0.413592 | + | 0.819040i | ||||
\(517\) | 6.58132i | 0.289446i | ||||||||
\(518\) | 3.43289 | + | 8.28772i | 0.150832 | + | 0.364141i | ||||
\(519\) | 35.4388 | − | 11.6569i | 1.55559 | − | 0.511679i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 34.3956i | 1.50690i | 0.657506 | + | 0.753450i | \(0.271612\pi\) | ||||
−0.657506 | + | 0.753450i | \(0.728388\pi\) | |||||||
\(522\) | 22.0924 | + | 13.3191i | 0.966957 | + | 0.582959i | ||||
\(523\) | −12.5980 | −0.550874 | −0.275437 | − | 0.961319i | \(-0.588823\pi\) | ||||
−0.275437 | + | 0.961319i | \(0.588823\pi\) | |||||||
\(524\) | −30.8338 | − | 30.8338i | −1.34698 | − | 1.34698i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −12.0416 | − | 29.0711i | −0.525040 | − | 1.26756i | ||||
\(527\) | −4.32957 | −0.188599 | ||||||||
\(528\) | −16.5754 | + | 5.45214i | −0.721353 | + | 0.237274i | ||||
\(529\) | −16.1716 | −0.703112 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 4.48528 | + | 6.08034i | 0.194645 | + | 0.263864i | ||||
\(532\) | −3.85525 | − | 3.85525i | −0.167146 | − | 0.167146i | ||||
\(533\) | −40.0166 | −1.73331 | ||||||||
\(534\) | −9.35309 | + | 8.04706i | −0.404748 | + | 0.348230i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | 8.59890 | + | 3.56178i | 0.371416 | + | 0.153846i | ||||
\(537\) | −5.21828 | − | 15.8645i | −0.225185 | − | 0.684602i | ||||
\(538\) | 5.21828 | + | 12.5980i | 0.224976 | + | 0.543140i | ||||
\(539\) | − | 9.64212i | − | 0.415316i | ||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | − | 16.0000i | − | 0.687894i | −0.938989 | − | 0.343947i | \(-0.888236\pi\) | ||
0.938989 | − | 0.343947i | \(-0.111764\pi\) | |||||||
\(542\) | 18.4776 | − | 7.65367i | 0.793680 | − | 0.328753i | ||||
\(543\) | −5.59767 | − | 17.0179i | −0.240219 | − | 0.730307i | ||||
\(544\) | −8.00000 | − | 19.3137i | −0.342997 | − | 0.828068i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | 24.4645 | + | 28.4350i | 1.04698 | + | 1.21691i | ||||
\(547\) | −11.0011 | −0.470375 | −0.235188 | − | 0.971950i | \(-0.575570\pi\) | ||||
−0.235188 | + | 0.971950i | \(0.575570\pi\) | |||||||
\(548\) | −16.9469 | − | 16.9469i | −0.723934 | − | 0.723934i | ||||
\(549\) | −15.1114 | − | 20.4853i | −0.644937 | − | 0.874291i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −5.03712 | −0.214589 | ||||||||
\(552\) | 12.7657 | + | 0.958174i | 0.543346 | + | 0.0407826i | ||||
\(553\) | −54.2474 | −2.30683 | ||||||||
\(554\) | −19.7164 | + | 8.16679i | −0.837668 | + | 0.346973i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 20.4853 | − | 20.4853i | 0.868769 | − | 0.868769i | ||||
\(557\) | 4.96362 | 0.210315 | 0.105158 | − | 0.994456i | \(-0.466465\pi\) | ||||
0.105158 | + | 0.994456i | \(0.466465\pi\) | |||||||
\(558\) | 2.56634 | − | 4.25680i | 0.108642 | − | 0.180205i | ||||
\(559\) | 28.0000i | 1.18427i | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −15.3137 | + | 5.03712i | −0.646545 | + | 0.212667i | ||||
\(562\) | −4.65369 | + | 1.92762i | −0.196304 | + | 0.0813119i | ||||
\(563\) | − | 21.9874i | − | 0.926658i | −0.886186 | − | 0.463329i | \(-0.846655\pi\) | ||
0.886186 | − | 0.463329i | \(-0.153345\pi\) | |||||||
\(564\) | 4.08034 | − | 8.08034i | 0.171813 | − | 0.340244i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | 9.76869 | + | 23.5837i | 0.410609 | + | 0.991297i | ||||
\(567\) | −28.2960 | − | 8.74280i | −1.18832 | − | 0.367163i | ||||
\(568\) | 18.6148 | + | 7.71049i | 0.781058 | + | 0.323525i | ||||
\(569\) | 15.7225i | 0.659120i | 0.944135 | + | 0.329560i | \(0.106900\pi\) | ||||
−0.944135 | + | 0.329560i | \(0.893100\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 21.1127 | 0.883539 | 0.441769 | − | 0.897129i | \(-0.354351\pi\) | ||||
0.441769 | + | 0.897129i | \(0.354351\pi\) | |||||||
\(572\) | −16.5754 | + | 16.5754i | −0.693054 | + | 0.693054i | ||||
\(573\) | 8.28772 | − | 2.72607i | 0.346224 | − | 0.113883i | ||||
\(574\) | −15.3137 | − | 36.9706i | −0.639182 | − | 1.54312i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | 23.7311 | + | 3.58261i | 0.988796 | + | 0.149276i | ||||
\(577\) | 3.85525 | 0.160496 | 0.0802480 | − | 0.996775i | \(-0.474429\pi\) | ||||
0.0802480 | + | 0.996775i | \(0.474429\pi\) | |||||||
\(578\) | 1.80930 | + | 4.36803i | 0.0752569 | + | 0.181686i | ||||
\(579\) | −32.4853 | + | 10.6853i | −1.35004 | + | 0.444068i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −30.8338 | −1.27920 | ||||||||
\(582\) | 4.35504 | + | 5.06186i | 0.180522 | + | 0.209821i | ||||
\(583\) | 11.5657i | 0.479004i | ||||||||
\(584\) | 17.1978 | + | 7.12356i | 0.711650 | + | 0.294775i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 1.31371 | + | 3.17157i | 0.0542688 | + | 0.131016i | ||||
\(587\) | − | 7.20533i | − | 0.297396i | −0.988883 | − | 0.148698i | \(-0.952492\pi\) | ||
0.988883 | − | 0.148698i | \(-0.0475082\pi\) | |||||||
\(588\) | −5.97801 | + | 11.8383i | −0.246529 | + | 0.488204i | ||||
\(589\) | 0.970563i | 0.0399913i | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 19.7164 | − | 6.48528i | 0.811023 | − | 0.266769i | ||||
\(592\) | 7.71049 | 0.316899 | ||||||||
\(593\) | 1.00547i | 0.0412897i | 0.999787 | + | 0.0206448i | \(0.00657192\pi\) | ||||
−0.999787 | + | 0.0206448i | \(0.993428\pi\) | |||||||
\(594\) | 4.12471 | − | 18.0421i | 0.169239 | − | 0.740276i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 20.7596 | − | 20.7596i | 0.850346 | − | 0.850346i | ||||
\(597\) | −4.96362 | − | 15.0903i | −0.203147 | − | 0.617603i | ||||
\(598\) | 15.8887 | − | 6.58132i | 0.649737 | − | 0.269130i | ||||
\(599\) | −32.3092 | −1.32012 | −0.660058 | − | 0.751214i | \(-0.729468\pi\) | ||||
−0.660058 | + | 0.751214i | \(0.729468\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 13.5147 | 0.551277 | 0.275638 | − | 0.961261i | \(-0.411111\pi\) | ||||
0.275638 | + | 0.961261i | \(0.411111\pi\) | |||||||
\(602\) | −25.8686 | + | 10.7151i | −1.05433 | + | 0.436716i | ||||
\(603\) | −7.94435 | + | 5.86030i | −0.323519 | + | 0.238650i | ||||
\(604\) | −4.00000 | − | 4.00000i | −0.162758 | − | 0.162758i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | −21.0939 | − | 24.5174i | −0.856882 | − | 0.995953i | ||||
\(607\) | − | 4.88755i | − | 0.198380i | −0.995069 | − | 0.0991898i | \(-0.968375\pi\) | ||
0.995069 | − | 0.0991898i | \(-0.0316251\pi\) | |||||||
\(608\) | −4.32957 | + | 1.79337i | −0.175587 | + | 0.0727306i | ||||
\(609\) | 10.8284 | + | 32.9203i | 0.438790 | + | 1.33400i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | − | 12.1607i | − | 0.491969i | ||||||
\(612\) | 21.9247 | + | 3.30990i | 0.886252 | + | 0.133795i | ||||
\(613\) | − | 23.2685i | − | 0.939804i | −0.882718 | − | 0.469902i | \(-0.844289\pi\) | ||
0.882718 | − | 0.469902i | \(-0.155711\pi\) | |||||||
\(614\) | 3.86733 | + | 9.33657i | 0.156073 | + | 0.376793i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −21.6569 | − | 8.97056i | −0.872580 | − | 0.361434i | ||||
\(617\) | 8.55035i | 0.344224i | 0.985077 | + | 0.172112i | \(0.0550591\pi\) | ||||
−0.985077 | + | 0.172112i | \(0.944941\pi\) | |||||||
\(618\) | −11.1721 | + | 9.61204i | −0.449406 | + | 0.386653i | ||||
\(619\) | 2.48528 | 0.0998919 | 0.0499459 | − | 0.998752i | \(-0.484095\pi\) | ||||
0.0499459 | + | 0.998752i | \(0.484095\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −7.86123 | + | 11.0711i | −0.315460 | + | 0.444267i | ||||
\(622\) | 18.6148 | + | 44.9400i | 0.746384 | + | 1.80193i | ||||
\(623\) | −16.5754 | −0.664081 | ||||||||
\(624\) | 30.6274 | − | 10.0742i | 1.22608 | − | 0.403292i | ||||
\(625\) | 0 | 0 | ||||||||
\(626\) | −9.21001 | − | 22.2349i | −0.368106 | − | 0.888686i | ||||
\(627\) | 1.12918 | + | 3.43289i | 0.0450949 | + | 0.137096i | ||||
\(628\) | 8.17821 | + | 8.17821i | 0.326346 | + | 0.326346i | ||||
\(629\) | 7.12356 | 0.284035 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | − | 2.14214i | − | 0.0852771i | −0.999091 | − | 0.0426385i | \(-0.986424\pi\) | ||
0.999091 | − | 0.0426385i | \(-0.0135764\pi\) | |||||||
\(632\) | −17.8435 | + | 43.0781i | −0.709778 | + | 1.71356i | ||||
\(633\) | −30.4144 | + | 10.0042i | −1.20886 | + | 0.397630i | ||||
\(634\) | −7.17157 | − | 17.3137i | −0.284820 | − | 0.687615i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | 7.17063 | − | 14.2001i | 0.284334 | − | 0.563069i | ||||
\(637\) | 17.8163i | 0.705908i | ||||||||
\(638\) | −20.0083 | + | 8.28772i | −0.792137 | + | 0.328114i | ||||
\(639\) | −17.1978 | + | 12.6863i | −0.680335 | + | 0.501862i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 35.0067i | 1.38268i | 0.722529 | + | 0.691341i | \(0.242980\pi\) | ||||
−0.722529 | + | 0.691341i | \(0.757020\pi\) | |||||||
\(642\) | −15.7337 | + | 13.5367i | −0.620961 | + | 0.534253i | ||||
\(643\) | −35.0681 | −1.38295 | −0.691475 | − | 0.722401i | \(-0.743039\pi\) | ||||
−0.691475 | + | 0.722401i | \(0.743039\pi\) | |||||||
\(644\) | 12.1607 | + | 12.1607i | 0.479198 | + | 0.479198i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −4.00000 | + | 1.65685i | −0.157378 | + | 0.0651881i | ||||
\(647\) | 28.3730 | 1.11546 | 0.557728 | − | 0.830024i | \(-0.311673\pi\) | ||||
0.557728 | + | 0.830024i | \(0.311673\pi\) | |||||||
\(648\) | −16.2501 | + | 19.5943i | −0.638363 | + | 0.769735i | ||||
\(649\) | −6.34315 | −0.248990 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 6.34315 | − | 2.08644i | 0.248607 | − | 0.0817742i | ||||
\(652\) | −8.50894 | + | 8.50894i | −0.333236 | + | 0.333236i | ||||
\(653\) | 24.2291 | 0.948158 | 0.474079 | − | 0.880482i | \(-0.342781\pi\) | ||||
0.474079 | + | 0.880482i | \(0.342781\pi\) | |||||||
\(654\) | −0.901086 | + | 0.775262i | −0.0352353 | + | 0.0303152i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | −34.3956 | −1.34292 | ||||||||
\(657\) | −15.8887 | + | 11.7206i | −0.619877 | + | 0.457264i | ||||
\(658\) | 11.2350 | − | 4.65369i | 0.437986 | − | 0.181420i | ||||
\(659\) | − | 14.6792i | − | 0.571822i | −0.958256 | − | 0.285911i | \(-0.907704\pi\) | ||
0.958256 | − | 0.285911i | \(-0.0922962\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 44.7696i | 1.74133i | 0.491873 | + | 0.870667i | \(0.336312\pi\) | ||||
−0.491873 | + | 0.870667i | \(0.663688\pi\) | |||||||
\(662\) | −10.0042 | − | 24.1522i | −0.388823 | − | 0.938701i | ||||
\(663\) | 28.2960 | − | 9.30739i | 1.09893 | − | 0.361469i | ||||
\(664\) | −10.1421 | + | 24.4853i | −0.393591 | + | 0.950213i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −4.22248 | + | 7.00384i | −0.163618 | + | 0.271393i | ||||
\(667\) | 15.8887 | 0.615213 | ||||||||
\(668\) | −24.6005 | + | 24.6005i | −0.951823 | + | 0.951823i | ||||
\(669\) | −11.8551 | − | 36.0416i | −0.458346 | − | 1.39345i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 21.3707 | 0.825006 | ||||||||
\(672\) | 21.0280 | + | 24.4408i | 0.811172 | + | 0.942824i | ||||
\(673\) | 47.6661 | 1.83739 | 0.918697 | − | 0.394964i | \(-0.129243\pi\) | ||||
0.918697 | + | 0.394964i | \(0.129243\pi\) | |||||||
\(674\) | 15.1114 | + | 36.4821i | 0.582068 | + | 1.40524i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 12.2426 | − | 12.2426i | 0.470871 | − | 0.470871i | ||||
\(677\) | −1.00547 | −0.0386433 | −0.0193217 | − | 0.999813i | \(-0.506151\pi\) | ||||
−0.0193217 | + | 0.999813i | \(0.506151\pi\) | |||||||
\(678\) | 16.5662 | − | 14.2530i | 0.636222 | − | 0.547383i | ||||
\(679\) | 8.97056i | 0.344259i | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 2.24264 | + | 6.81801i | 0.0859382 | + | 0.261267i | ||||
\(682\) | 1.59689 | + | 3.85525i | 0.0611483 | + | 0.147625i | ||||
\(683\) | − | 14.9678i | − | 0.572726i | −0.958121 | − | 0.286363i | \(-0.907554\pi\) | ||
0.958121 | − | 0.286363i | \(-0.0924464\pi\) | |||||||
\(684\) | 0.741983 | − | 4.91487i | 0.0283704 | − | 0.187925i | ||||
\(685\) | 0 | 0 | ||||||||
\(686\) | 13.6360 | − | 5.64823i | 0.520626 | − | 0.215650i | ||||
\(687\) | 10.4525 | + | 31.7774i | 0.398788 | + | 1.21238i | ||||
\(688\) | 24.0669i | 0.917542i | ||||||||
\(689\) | − | 21.3707i | − | 0.814159i | ||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −7.17157 | −0.272819 | −0.136410 | − | 0.990653i | \(-0.543556\pi\) | ||||
−0.136410 | + | 0.990653i | \(0.543556\pi\) | |||||||
\(692\) | 30.4608 | − | 30.4608i | 1.15795 | − | 1.15795i | ||||
\(693\) | 20.0083 | − | 14.7595i | 0.760053 | − | 0.560668i | ||||
\(694\) | −0.242641 | + | 0.100505i | −0.00921051 | + | 0.00381512i | ||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 29.7039 | + | 2.22952i | 1.12592 | + | 0.0845099i | ||||
\(697\) | −31.7774 | −1.20365 | ||||||||
\(698\) | 3.06147 | − | 1.26810i | 0.115878 | − | 0.0479983i | ||||
\(699\) | −8.62742 | − | 26.2288i | −0.326319 | − | 0.992065i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 26.8399 | 1.01373 | 0.506865 | − | 0.862025i | \(-0.330804\pi\) | ||||
0.506865 | + | 0.862025i | \(0.330804\pi\) | |||||||
\(702\) | −7.62146 | + | 33.3374i | −0.287654 | + | 1.25824i | ||||
\(703\) | − | 1.59689i | − | 0.0602280i | ||||||
\(704\) | −14.2471 | + | 14.2471i | −0.536959 | + | 0.536959i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −42.2843 | + | 17.5147i | −1.59139 | + | 0.659175i | ||||
\(707\) | − | 43.4495i | − | 1.63409i | ||||||
\(708\) | 7.78793 | + | 3.93268i | 0.292688 | + | 0.147799i | ||||
\(709\) | 36.2843i | 1.36268i | 0.731965 | + | 0.681342i | \(0.238603\pi\) | ||||
−0.731965 | + | 0.681342i | \(0.761397\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −29.3585 | − | 39.7990i | −1.10103 | − | 1.49258i | ||||
\(712\) | −5.45214 | + | 13.1626i | −0.204328 | + | 0.493290i | ||||
\(713\) | − | 3.06147i | − | 0.114653i | ||||||
\(714\) | 19.4273 | + | 22.5804i | 0.727050 | + | 0.845048i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −13.6360 | − | 13.6360i | −0.509602 | − | 0.509602i | ||||
\(717\) | −36.5838 | + | 12.0335i | −1.36625 | + | 0.449398i | ||||
\(718\) | 4.98442 | + | 12.0335i | 0.186017 | + | 0.449085i | ||||
\(719\) | 2.95068 | 0.110042 | 0.0550208 | − | 0.998485i | \(-0.482477\pi\) | ||||
0.0550208 | + | 0.998485i | \(0.482477\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −19.7990 | −0.737353 | ||||||||
\(722\) | −9.91131 | − | 23.9280i | −0.368861 | − | 0.890508i | ||||
\(723\) | 10.6704 | − | 3.50981i | 0.396837 | − | 0.130531i | ||||
\(724\) | −14.6274 | − | 14.6274i | −0.543624 | − | 0.543624i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | −7.43957 | − | 8.64700i | −0.276108 | − | 0.320920i | ||||
\(727\) | − | 47.1015i | − | 1.74690i | −0.486915 | − | 0.873449i | \(-0.661878\pi\) | ||
0.486915 | − | 0.873449i | \(-0.338122\pi\) | |||||||
\(728\) | 40.0166 | + | 16.5754i | 1.48312 | + | 0.614327i | ||||
\(729\) | −8.89949 | − | 25.4912i | −0.329611 | − | 0.944117i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 22.2349i | 0.822388i | ||||||||
\(732\) | −26.2383 | − | 13.2496i | −0.969795 | − | 0.489719i | ||||
\(733\) | − | 9.63811i | − | 0.355992i | −0.984031 | − | 0.177996i | \(-0.943039\pi\) | ||
0.984031 | − | 0.177996i | \(-0.0569614\pi\) | |||||||
\(734\) | −2.82411 | + | 1.16979i | −0.104240 | + | 0.0431776i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 13.6569 | − | 5.65685i | 0.503398 | − | 0.208514i | ||||
\(737\) | − | 8.28772i | − | 0.305282i | ||||||
\(738\) | 18.8360 | − | 31.2433i | 0.693362 | − | 1.15008i | ||||
\(739\) | 27.1716 | 0.999522 | 0.499761 | − | 0.866163i | \(-0.333421\pi\) | ||||
0.499761 | + | 0.866163i | \(0.333421\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −2.08644 | − | 6.34315i | −0.0766474 | − | 0.233021i | ||||
\(742\) | 19.7439 | − | 8.17821i | 0.724823 | − | 0.300232i | ||||
\(743\) | −15.2304 | −0.558750 | −0.279375 | − | 0.960182i | \(-0.590127\pi\) | ||||
−0.279375 | + | 0.960182i | \(0.590127\pi\) | |||||||
\(744\) | 0.429589 | − | 5.72341i | 0.0157495 | − | 0.209830i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | −31.8771 | + | 13.2039i | −1.16710 | + | 0.483429i | ||||
\(747\) | −16.6871 | − | 22.6215i | −0.610551 | − | 0.827676i | ||||
\(748\) | −13.1626 | + | 13.1626i | −0.481273 | + | 0.481273i | ||||
\(749\) | −27.8832 | −1.01883 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 35.1127i | 1.28128i | 0.767841 | + | 0.640640i | \(0.221331\pi\) | ||||
−0.767841 | + | 0.640640i | \(0.778669\pi\) | |||||||
\(752\) | − | 10.4525i | − | 0.381164i | ||||||
\(753\) | 6.34746 | + | 19.2974i | 0.231314 | + | 0.703235i | ||||
\(754\) | 36.9706 | − | 15.3137i | 1.34639 | − | 0.557692i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | −33.7164 | + | 5.71637i | −1.22625 | + | 0.207902i | ||||
\(757\) | 12.8319i | 0.466383i | 0.972431 | + | 0.233192i | \(0.0749170\pi\) | ||||
−0.972431 | + | 0.233192i | \(0.925083\pi\) | |||||||
\(758\) | −11.2723 | − | 27.2137i | −0.409427 | − | 0.988444i | ||||
\(759\) | −3.56178 | − | 10.8284i | −0.129284 | − | 0.393047i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | − | 17.1978i | − | 0.623420i | −0.950177 | − | 0.311710i | \(-0.899098\pi\) | ||
0.950177 | − | 0.311710i | \(-0.100902\pi\) | |||||||
\(762\) | 6.11020 | − | 5.25700i | 0.221349 | − | 0.190441i | ||||
\(763\) | −1.59689 | −0.0578115 | ||||||||
\(764\) | 7.12356 | − | 7.12356i | 0.257722 | − | 0.257722i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 15.7574 | + | 38.0416i | 0.569337 | + | 1.37450i | ||||
\(767\) | 11.7206 | 0.423207 | ||||||||
\(768\) | 26.3253 | − | 8.65914i | 0.949931 | − | 0.312460i | ||||
\(769\) | 49.5980 | 1.78855 | 0.894274 | − | 0.447519i | \(-0.147692\pi\) | ||||
0.894274 | + | 0.447519i | \(0.147692\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −8.82843 | − | 26.8399i | −0.317948 | − | 0.966616i | ||||
\(772\) | −27.9222 | + | 27.9222i | −1.00494 | + | 1.00494i | ||||
\(773\) | 18.8490 | 0.677952 | 0.338976 | − | 0.940795i | \(-0.389919\pi\) | ||||
0.338976 | + | 0.940795i | \(0.389919\pi\) | |||||||
\(774\) | −21.8612 | − | 13.1797i | −0.785786 | − | 0.473735i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) | 7.12356 | + | 2.95068i | 0.255721 | + | 0.105923i | ||||
\(777\) | −10.4366 | + | 3.43289i | −0.374410 | + | 0.123154i | ||||
\(778\) | 4.08910 | + | 9.87197i | 0.146602 | + | 0.353927i | ||||
\(779\) | 7.12356i | 0.255228i | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | − | 17.9411i | − | 0.641984i | ||||||
\(782\) | 12.6173 | − | 5.22625i | 0.451193 | − | 0.186890i | ||||
\(783\) | −18.2919 | + | 25.7607i | −0.653699 | + | 0.920611i | ||||
\(784\) | 15.3137i | 0.546918i | ||||||||
\(785\) | 0 | 0 | ||||||||
\(786\) | 40.4842 | − | 34.8311i | 1.44402 | − | 1.24239i | ||||
\(787\) | 48.2307 | 1.71924 | 0.859619 | − | 0.510935i | \(-0.170701\pi\) | ||||
0.859619 | + | 0.510935i | \(0.170701\pi\) | |||||||
\(788\) | 16.9469 | − | 16.9469i | 0.603707 | − | 0.603707i | ||||
\(789\) | 36.6086 | − | 12.0416i | 1.30330 | − | 0.428693i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 29.3585 | 1.04387 | ||||||||
\(792\) | −5.13929 | − | 20.7435i | −0.182617 | − | 0.737089i | ||||
\(793\) | −39.4879 | −1.40226 | ||||||||
\(794\) | 35.4388 | − | 14.6792i | 1.25768 | − | 0.520947i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −12.9706 | − | 12.9706i | −0.459729 | − | 0.459729i | ||||
\(797\) | −8.92177 | −0.316025 | −0.158013 | − | 0.987437i | \(-0.550509\pi\) | ||||
−0.158013 | + | 0.987437i | \(0.550509\pi\) | |||||||
\(798\) | 5.06186 | − | 4.35504i | 0.179188 | − | 0.154167i | ||||
\(799\) | − | 9.65685i | − | 0.341635i | ||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −8.97056 | − | 12.1607i | −0.316959 | − | 0.429677i | ||||
\(802\) | −19.7439 | + | 8.17821i | −0.697183 | + | 0.288783i | ||||
\(803\) | − | 16.5754i | − | 0.584935i | ||||||
\(804\) | −5.13829 | + | 10.1754i | −0.181214 | + | 0.358859i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −2.95068 | − | 7.12356i | −0.103933 | − | 0.250917i | ||||
\(807\) | −15.8645 | + | 5.21828i | −0.558456 | + | 0.183692i | ||||
\(808\) | −34.5035 | − | 14.2918i | −1.21383 | − | 0.502784i | ||||
\(809\) | − | 4.17289i | − | 0.146711i | −0.997306 | − | 0.0733555i | \(-0.976629\pi\) | ||
0.997306 | − | 0.0733555i | \(-0.0233708\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −14.4853 | −0.508647 | −0.254324 | − | 0.967119i | \(-0.581853\pi\) | ||||
−0.254324 | + | 0.967119i | \(0.581853\pi\) | |||||||
\(812\) | 28.2960 | + | 28.2960i | 0.992996 | + | 0.992996i | ||||
\(813\) | 7.65367 | + | 23.2685i | 0.268426 | + | 0.816061i | ||||
\(814\) | −2.62742 | − | 6.34315i | −0.0920909 | − | 0.222327i | ||||
\(815\) | 0 | 0 | ||||||||
\(816\) | 24.3214 | − | 8.00000i | 0.851418 | − | 0.280056i | ||||
\(817\) | 4.98442 | 0.174383 | ||||||||
\(818\) | 6.94269 | + | 16.7611i | 0.242746 | + | 0.586040i | ||||
\(819\) | −36.9706 | + | 27.2720i | −1.29186 | + | 0.952962i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −23.8893 | −0.833741 | −0.416870 | − | 0.908966i | \(-0.636873\pi\) | ||||
−0.416870 | + | 0.908966i | \(0.636873\pi\) | |||||||
\(822\) | 22.2509 | − | 19.1438i | 0.776088 | − | 0.667718i | ||||
\(823\) | 23.5023i | 0.819239i | 0.912256 | + | 0.409620i | \(0.134339\pi\) | ||||
−0.912256 | + | 0.409620i | \(0.865661\pi\) | |||||||
\(824\) | −6.51246 | + | 15.7225i | −0.226872 | + | 0.547718i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 4.48528 | + | 10.8284i | 0.156063 | + | 0.376769i | ||||
\(827\) | 35.5014i | 1.23450i | 0.786766 | + | 0.617252i | \(0.211754\pi\) | ||||
−0.786766 | + | 0.617252i | \(0.788246\pi\) | |||||||
\(828\) | −2.34045 | + | 15.5031i | −0.0813364 | + | 0.538769i | ||||
\(829\) | 5.17157i | 0.179616i | 0.995959 | + | 0.0898081i | \(0.0286254\pi\) | ||||
−0.995959 | + | 0.0898081i | \(0.971375\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −8.16679 | − | 24.8284i | −0.283303 | − | 0.861289i | ||||
\(832\) | 26.3253 | − | 26.3253i | 0.912664 | − | 0.912664i | ||||
\(833\) | 14.1480i | 0.490200i | ||||||||
\(834\) | 23.1410 | + | 26.8967i | 0.801307 | + | 0.931358i | ||||
\(835\) | 0 | 0 | ||||||||
\(836\) | 2.95068 | + | 2.95068i | 0.102051 | + | 0.102051i | ||||
\(837\) | 4.96362 | + | 3.52452i | 0.171568 | + | 0.121825i | ||||
\(838\) | 3.29066 | − | 1.36303i | 0.113674 | − | 0.0470853i | ||||
\(839\) | 53.6799 | 1.85323 | 0.926617 | − | 0.376006i | \(-0.122703\pi\) | ||||
0.926617 | + | 0.376006i | \(0.122703\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 7.97056 | 0.274847 | ||||||||
\(842\) | 45.5055 | − | 18.8490i | 1.56822 | − | 0.649580i | ||||
\(843\) | −1.92762 | − | 5.86030i | −0.0663908 | − | 0.201840i | ||||
\(844\) | −26.1421 | + | 26.1421i | −0.899849 | + | 0.899849i | ||||
\(845\) | 0 | 0 | ||||||||
\(846\) | 9.49456 | + | 5.72408i | 0.326430 | + | 0.196798i | ||||
\(847\) | − | 15.3241i | − | 0.526543i | ||||||
\(848\) | − | 18.3688i | − | 0.630787i | ||||||
\(849\) | −29.6985 | + | 9.76869i | −1.01925 | + | 0.335261i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 5.03712i | 0.172670i | ||||||||
\(852\) | −11.1233 | + | 22.0276i | −0.381078 | + | 0.754652i | ||||
\(853\) | − | 36.4311i | − | 1.24738i | −0.781673 | − | 0.623688i | \(-0.785633\pi\) | ||
0.781673 | − | 0.623688i | \(-0.214367\pi\) | |||||||
\(854\) | −15.1114 | − | 36.4821i | −0.517100 | − | 1.24839i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −9.17157 | + | 22.1421i | −0.313478 | + | 0.756803i | ||||
\(857\) | 28.5587i | 0.975546i | 0.872971 | + | 0.487773i | \(0.162191\pi\) | ||||
−0.872971 | + | 0.487773i | \(0.837809\pi\) | |||||||
\(858\) | −18.7243 | − | 21.7632i | −0.639236 | − | 0.742983i | ||||
\(859\) | −3.85786 | −0.131629 | −0.0658143 | − | 0.997832i | \(-0.520965\pi\) | ||||
−0.0658143 | + | 0.997832i | \(0.520965\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 46.5563 | − | 15.3137i | 1.58663 | − | 0.521890i | ||||
\(862\) | −14.7595 | − | 35.6326i | −0.502711 | − | 1.21365i | ||||
\(863\) | 20.0852 | 0.683710 | 0.341855 | − | 0.939753i | \(-0.388945\pi\) | ||||
0.341855 | + | 0.939753i | \(0.388945\pi\) | |||||||
\(864\) | −6.55089 | + | 28.6546i | −0.222866 | + | 0.974849i | ||||
\(865\) | 0 | 0 | ||||||||
\(866\) | 12.7718 | + | 30.8338i | 0.434003 | + | 1.04778i | ||||
\(867\) | −5.50057 | + | 1.80930i | −0.186809 | + | 0.0614470i | ||||
\(868\) | 5.45214 | − | 5.45214i | 0.185058 | − | 0.185058i | ||||
\(869\) | 41.5192 | 1.40844 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 15.3137i | 0.518885i | ||||||||
\(872\) | −0.525265 | + | 1.26810i | −0.0177877 | + | 0.0429433i | ||||
\(873\) | −6.58132 | + | 4.85483i | −0.222744 | + | 0.164311i | ||||
\(874\) | −1.17157 | − | 2.82843i | −0.0396290 | − | 0.0956730i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −10.2766 | + | 20.3508i | −0.347214 | + | 0.687591i | ||||
\(877\) | − | 35.3019i | − | 1.19206i | −0.802962 | − | 0.596031i | \(-0.796744\pi\) | ||
0.802962 | − | 0.596031i | \(-0.203256\pi\) | |||||||
\(878\) | 37.2178 | − | 15.4161i | 1.25604 | − | 0.520269i | ||||
\(879\) | −3.99390 | + | 1.31371i | −0.134711 | + | 0.0443103i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | − | 42.9945i | − | 1.44852i | −0.689526 | − | 0.724261i | \(-0.742181\pi\) | ||
0.689526 | − | 0.724261i | \(-0.257819\pi\) | |||||||
\(882\) | −13.9102 | − | 8.38621i | −0.468382 | − | 0.282378i | ||||
\(883\) | 37.7941 | 1.27187 | 0.635937 | − | 0.771741i | \(-0.280614\pi\) | ||||
0.635937 | + | 0.771741i | \(0.280614\pi\) | |||||||
\(884\) | 24.3214 | − | 24.3214i | 0.818016 | − | 0.818016i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 2.10051 | − | 0.870058i | 0.0705678 | − | 0.0292302i | ||||
\(887\) | 12.5404 | 0.421064 | 0.210532 | − | 0.977587i | \(-0.432480\pi\) | ||||
0.210532 | + | 0.977587i | \(0.432480\pi\) | |||||||
\(888\) | −0.706816 | + | 9.41689i | −0.0237192 | + | 0.316010i | ||||
\(889\) | 10.8284 | 0.363174 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 21.6569 | + | 6.69145i | 0.725532 | + | 0.224172i | ||||
\(892\) | −30.9790 | − | 30.9790i | −1.03725 | − | 1.03725i | ||||
\(893\) | −2.16478 | −0.0724417 | ||||||||
\(894\) | 23.4509 | + | 27.2569i | 0.784314 | + | 0.911607i | ||||
\(895\) | 0 | 0 | ||||||||
\(896\) | 34.3956 | + | 14.2471i | 1.14908 | + | 0.475963i | ||||
\(897\) | 6.58132 | + | 20.0083i | 0.219744 | + | 0.668059i | ||||
\(898\) | −45.7385 | + | 18.9455i | −1.52631 | + | 0.632219i | ||||
\(899\) | − | 7.12356i | − | 0.237584i | ||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | − | 16.9706i | − | 0.565371i | ||||||
\(902\) | 11.7206 | + | 28.2960i | 0.390253 | + | 0.942155i | ||||
\(903\) | −10.7151 | − | 32.5758i | −0.356577 | − | 1.08406i | ||||
\(904\) | 9.65685 | − | 23.3137i | 0.321182 | − | 0.775402i | ||||
\(905\) | 0 | 0 | ||||||||
\(906\) | 5.25192 | − | 4.51856i | 0.174483 | − | 0.150119i | ||||
\(907\) | 7.61362 | 0.252806 | 0.126403 | − | 0.991979i | \(-0.459657\pi\) | ||||
0.126403 | + | 0.991979i | \(0.459657\pi\) | |||||||
\(908\) | 5.86030 | + | 5.86030i | 0.194481 | + | 0.194481i | ||||
\(909\) | 31.8771 | − | 23.5147i | 1.05730 | − | 0.779934i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 2.95068 | 0.0977603 | 0.0488801 | − | 0.998805i | \(-0.484435\pi\) | ||||
0.0488801 | + | 0.998805i | \(0.484435\pi\) | |||||||
\(912\) | −1.79337 | − | 5.45214i | −0.0593843 | − | 0.180538i | ||||
\(913\) | 23.5992 | 0.781019 | ||||||||
\(914\) | −10.0742 | − | 24.3214i | −0.333226 | − | 0.804479i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 27.3137 | + | 27.3137i | 0.902470 | + | 0.902470i | ||||
\(917\) | 71.7456 | 2.36925 | ||||||||
\(918\) | −6.05224 | + | 26.4734i | −0.199754 | + | 0.873752i | ||||
\(919\) | 6.14214i | 0.202610i | 0.994855 | + | 0.101305i | \(0.0323019\pi\) | ||||
−0.994855 | + | 0.101305i | \(0.967698\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −11.7574 | + | 3.86733i | −0.387418 | + | 0.127433i | ||||
\(922\) | 2.16148 | + | 5.21828i | 0.0711846 | + | 0.171855i | ||||
\(923\) | 33.1509i | 1.09117i | ||||||||
\(924\) | 12.9411 | − | 25.6274i | 0.425731 | − | 0.843079i | ||||
\(925\) | 0 | 0 | ||||||||
\(926\) | 33.6579 | − | 13.9416i | 1.10607 | − | 0.458149i | ||||
\(927\) | −10.7151 | − | 14.5257i | −0.351931 | − | 0.477085i | ||||
\(928\) | 31.7774 | − | 13.1626i | 1.04314 | − | 0.432085i | ||||
\(929\) | − | 26.6609i | − | 0.874717i | −0.899287 | − | 0.437359i | \(-0.855914\pi\) | ||
0.899287 | − | 0.437359i | \(-0.144086\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 3.17157 | 0.103944 | ||||||||
\(932\) | −22.5445 | − | 22.5445i | −0.738471 | − | 0.738471i | ||||
\(933\) | −56.5921 | + | 18.6148i | −1.85274 | + | 0.609420i | ||||
\(934\) | −20.7279 | + | 8.58579i | −0.678238 | + | 0.280936i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 9.49617 | + | 38.3291i | 0.310392 | + | 1.25282i | ||||
\(937\) | 8.17821 | 0.267170 | 0.133585 | − | 0.991037i | \(-0.457351\pi\) | ||||
0.133585 | + | 0.991037i | \(0.457351\pi\) | |||||||
\(938\) | −14.1480 | + | 5.86030i | −0.461949 | + | 0.191346i | ||||
\(939\) | 28.0000 | − | 9.21001i | 0.913745 | − | 0.300557i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 23.2781 | 0.758846 | 0.379423 | − | 0.925223i | \(-0.376123\pi\) | ||||
0.379423 | + | 0.925223i | \(0.376123\pi\) | |||||||
\(942\) | −10.7378 | + | 9.23843i | −0.349857 | + | 0.301004i | ||||
\(943\) | − | 22.4700i | − | 0.731724i | ||||||
\(944\) | 10.0742 | 0.327889 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 19.7990 | − | 8.20101i | 0.643721 | − | 0.266638i | ||||
\(947\) | − | 21.6160i | − | 0.702425i | −0.936296 | − | 0.351213i | \(-0.885769\pi\) | ||
0.936296 | − | 0.351213i | \(-0.114231\pi\) | |||||||
\(948\) | −50.9760 | − | 25.7414i | −1.65562 | − | 0.836043i | ||||
\(949\) | 30.6274i | 0.994208i | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 21.8028 | − | 7.17157i | 0.707005 | − | 0.232554i | ||||
\(952\) | 31.7774 | + | 13.1626i | 1.02991 | + | 0.426603i | ||||
\(953\) | − | 44.0836i | − | 1.42801i | −0.700142 | − | 0.714004i | \(-0.746880\pi\) | ||
0.700142 | − | 0.714004i | \(-0.253120\pi\) | |||||||
\(954\) | 16.6853 | + | 10.0593i | 0.540208 | + | 0.325681i | ||||
\(955\) | 0 | 0 | ||||||||
\(956\) | −31.4449 | + | 31.4449i | −1.01700 | + | 1.01700i | ||||
\(957\) | −8.28772 | − | 25.1961i | −0.267904 | − | 0.814474i | ||||
\(958\) | −10.4366 | − | 25.1961i | −0.337190 | − | 0.814049i | ||||
\(959\) | 39.4327 | 1.27335 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 29.6274 | 0.955723 | ||||||||
\(962\) | 4.85483 | + | 11.7206i | 0.156526 | + | 0.377887i | ||||
\(963\) | −15.0903 | − | 20.4567i | −0.486277 | − | 0.659207i | ||||
\(964\) | 9.17157 | − | 9.17157i | 0.295396 | − | 0.295396i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | −15.9667 | + | 13.7372i | −0.513721 | + | 0.441987i | ||||
\(967\) | 55.2797i | 1.77768i | 0.458222 | + | 0.888838i | \(0.348487\pi\) | ||||
−0.458222 | + | 0.888838i | \(0.651513\pi\) | |||||||
\(968\) | −12.1689 | − | 5.04054i | −0.391125 | − | 0.162009i | ||||
\(969\) | −1.65685 | − | 5.03712i | −0.0532258 | − | 0.161816i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 13.8150i | 0.443345i | 0.975121 | + | 0.221672i | \(0.0711516\pi\) | ||||
−0.975121 | + | 0.221672i | \(0.928848\pi\) | |||||||
\(972\) | −22.4410 | − | 21.6426i | −0.719796 | − | 0.694186i | ||||
\(973\) | 47.6661i | 1.52811i | ||||||||
\(974\) | −11.4230 | + | 4.73157i | −0.366017 | + | 0.151609i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −33.9411 | −1.08643 | ||||||||
\(977\) | − | 33.2597i | − | 1.06407i | −0.846722 | − | 0.532035i | \(-0.821427\pi\) | ||
0.846722 | − | 0.532035i | \(-0.178573\pi\) | |||||||
\(978\) | −9.61204 | − | 11.1721i | −0.307359 | − | 0.357243i | ||||
\(979\) | 12.6863 | 0.405456 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −0.864233 | − | 1.17157i | −0.0275928 | − | 0.0374054i | ||||
\(982\) | 48.2307 | − | 19.9778i | 1.53910 | − | 0.637517i | ||||
\(983\) | 10.0042 | 0.319083 | 0.159542 | − | 0.987191i | \(-0.448998\pi\) | ||||
0.159542 | + | 0.987191i | \(0.448998\pi\) | |||||||
\(984\) | 3.15302 | − | 42.0077i | 0.100515 | − | 1.33916i | ||||
\(985\) | 0 | 0 | ||||||||
\(986\) | 29.3585 | − | 12.1607i | 0.934965 | − | 0.387275i | ||||
\(987\) | 4.65369 | + | 14.1480i | 0.148129 | + | 0.450336i | ||||
\(988\) | −5.45214 | − | 5.45214i | −0.173456 | − | 0.173456i | ||||
\(989\) | −15.7225 | −0.499945 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | − | 19.7990i | − | 0.628936i | −0.949268 | − | 0.314468i | \(-0.898174\pi\) | ||
0.949268 | − | 0.314468i | \(-0.101826\pi\) | |||||||
\(992\) | −2.53620 | − | 6.12293i | −0.0805245 | − | 0.194403i | ||||
\(993\) | 30.4144 | − | 10.0042i | 0.965171 | − | 0.317472i | ||||
\(994\) | −30.6274 | + | 12.6863i | −0.971443 | + | 0.402385i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | −28.9744 | − | 14.6312i | −0.918088 | − | 0.463608i | ||||
\(997\) | − | 8.50894i | − | 0.269481i | −0.990881 | − | 0.134740i | \(-0.956980\pi\) | ||
0.990881 | − | 0.134740i | \(-0.0430200\pi\) | |||||||
\(998\) | 20.0852 | + | 48.4901i | 0.635787 | + | 1.53493i | ||||
\(999\) | −8.16679 | − | 5.79899i | −0.258386 | − | 0.183472i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))