Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [120,2,Mod(59,120)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(120, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1, 1, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("120.59");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 120 = 2^{3} \cdot 3 \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 120.m (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: | \(0.958204824255\) |
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: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 2^{13} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 59.4 | ||
Root | \(0.724535i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 120.59 |
Dual form | 120.2.m.b.59.1 |
$q$-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 \(\left(\mathbb{Z}/120\mathbb{Z}\right)^\times\).
\(n\) | \(31\) | \(41\) | \(61\) | \(97\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(-1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.30656 | + | 0.541196i | −0.923880 | + | 0.382683i | ||||
\(3\) | 0.541196 | + | 1.64533i | 0.312460 | + | 0.949931i | ||||
\(4\) | 1.41421 | − | 1.41421i | 0.707107 | − | 0.707107i | ||||
\(5\) | 1.25928 | − | 1.84776i | 0.563167 | − | 0.826343i | ||||
\(6\) | −1.59755 | − | 1.85683i | −0.652198 | − | 0.758049i | ||||
\(7\) | 3.29066 | 1.24375 | 0.621876 | − | 0.783116i | \(-0.286371\pi\) | ||||
0.621876 | + | 0.783116i | \(0.286371\pi\) | |||||||
\(8\) | −1.08239 | + | 2.61313i | −0.382683 | + | 0.923880i | ||||
\(9\) | −2.41421 | + | 1.78089i | −0.804738 | + | 0.593630i | ||||
\(10\) | −0.645329 | + | 3.09573i | −0.204071 | + | 0.978956i | ||||
\(11\) | 2.51856i | 0.759374i | 0.925115 | + | 0.379687i | \(0.123968\pi\) | ||||
−0.925115 | + | 0.379687i | \(0.876032\pi\) | |||||||
\(12\) | 3.09221 | + | 1.56148i | 0.892645 | + | 0.450760i | ||||
\(13\) | −4.65369 | −1.29070 | −0.645351 | − | 0.763886i | \(-0.723289\pi\) | ||||
−0.645351 | + | 0.763886i | \(0.723289\pi\) | |||||||
\(14\) | −4.29945 | + | 1.78089i | −1.14908 | + | 0.475963i | ||||
\(15\) | 3.72169 | + | 1.07193i | 0.960936 | + | 0.276771i | ||||
\(16\) | − | 4.00000i | − | 1.00000i | ||||||
\(17\) | 3.69552 | 0.896295 | 0.448147 | − | 0.893960i | \(-0.352084\pi\) | ||||
0.448147 | + | 0.893960i | \(0.352084\pi\) | |||||||
\(18\) | 2.19051 | − | 3.63341i | 0.516308 | − | 0.856403i | ||||
\(19\) | 0.828427 | 0.190054 | 0.0950271 | − | 0.995475i | \(-0.469706\pi\) | ||||
0.0950271 | + | 0.995475i | \(0.469706\pi\) | |||||||
\(20\) | −0.832235 | − | 4.39402i | −0.186093 | − | 0.982532i | ||||
\(21\) | 1.78089 | + | 5.41421i | 0.388622 | + | 1.18148i | ||||
\(22\) | −1.36303 | − | 3.29066i | −0.290600 | − | 0.701571i | ||||
\(23\) | − | 2.61313i | − | 0.544874i | −0.962174 | − | 0.272437i | \(-0.912170\pi\) | ||
0.962174 | − | 0.272437i | \(-0.0878297\pi\) | |||||||
\(24\) | −4.88524 | − | 0.366677i | −0.997195 | − | 0.0748477i | ||||
\(25\) | −1.82843 | − | 4.65369i | −0.365685 | − | 0.930739i | ||||
\(26\) | 6.08034 | − | 2.51856i | 1.19245 | − | 0.493930i | ||||
\(27\) | −4.23671 | − | 3.00836i | −0.815356 | − | 0.578960i | ||||
\(28\) | 4.65369 | − | 4.65369i | 0.879465 | − | 0.879465i | ||||
\(29\) | −6.08034 | −1.12909 | −0.564546 | − | 0.825402i | \(-0.690949\pi\) | ||||
−0.564546 | + | 0.825402i | \(0.690949\pi\) | |||||||
\(30\) | −5.44274 | + | 0.613620i | −0.993705 | + | 0.112031i | ||||
\(31\) | − | 1.17157i | − | 0.210421i | −0.994450 | − | 0.105210i | \(-0.966448\pi\) | ||
0.994450 | − | 0.105210i | \(-0.0335516\pi\) | |||||||
\(32\) | 2.16478 | + | 5.22625i | 0.382683 | + | 0.923880i | ||||
\(33\) | −4.14386 | + | 1.36303i | −0.721353 | + | 0.237274i | ||||
\(34\) | −4.82843 | + | 2.00000i | −0.828068 | + | 0.342997i | ||||
\(35\) | 4.14386 | − | 6.08034i | 0.700440 | − | 1.02777i | ||||
\(36\) | −0.895653 | + | 5.93277i | −0.149276 | + | 0.988796i | ||||
\(37\) | −1.92762 | −0.316899 | −0.158450 | − | 0.987367i | \(-0.550650\pi\) | ||||
−0.158450 | + | 0.987367i | \(0.550650\pi\) | |||||||
\(38\) | −1.08239 | + | 0.448342i | −0.175587 | + | 0.0727306i | ||||
\(39\) | −2.51856 | − | 7.65685i | −0.403292 | − | 1.22608i | ||||
\(40\) | 3.46539 | + | 5.29066i | 0.547927 | + | 0.836526i | ||||
\(41\) | − | 8.59890i | − | 1.34292i | −0.741039 | − | 0.671461i | \(-0.765667\pi\) | ||
0.741039 | − | 0.671461i | \(-0.234333\pi\) | |||||||
\(42\) | −5.25700 | − | 6.11020i | −0.811172 | − | 0.942824i | ||||
\(43\) | 6.01673i | 0.917542i | 0.888554 | + | 0.458771i | \(0.151710\pi\) | ||||
−0.888554 | + | 0.458771i | \(0.848290\pi\) | |||||||
\(44\) | 3.56178 | + | 3.56178i | 0.536959 | + | 0.536959i | ||||
\(45\) | 0.250486 | + | 6.70353i | 0.0373403 | + | 0.999303i | ||||
\(46\) | 1.41421 | + | 3.41421i | 0.208514 | + | 0.503398i | ||||
\(47\) | 2.61313i | 0.381164i | 0.981671 | + | 0.190582i | \(0.0610374\pi\) | ||||
−0.981671 | + | 0.190582i | \(0.938963\pi\) | |||||||
\(48\) | 6.58132 | − | 2.16478i | 0.949931 | − | 0.312460i | ||||
\(49\) | 3.82843 | 0.546918 | ||||||||
\(50\) | 4.90752 | + | 5.09080i | 0.694027 | + | 0.719949i | ||||
\(51\) | 2.00000 | + | 6.08034i | 0.280056 | + | 0.851418i | ||||
\(52\) | −6.58132 | + | 6.58132i | −0.912664 | + | 0.912664i | ||||
\(53\) | − | 4.59220i | − | 0.630787i | −0.948961 | − | 0.315394i | \(-0.897863\pi\) | ||
0.948961 | − | 0.315394i | \(-0.102137\pi\) | |||||||
\(54\) | 7.16365 | + | 1.63772i | 0.974849 | + | 0.222866i | ||||
\(55\) | 4.65369 | + | 3.17157i | 0.627504 | + | 0.427655i | ||||
\(56\) | −3.56178 | + | 8.59890i | −0.475963 | + | 1.14908i | ||||
\(57\) | 0.448342 | + | 1.36303i | 0.0593843 | + | 0.180538i | ||||
\(58\) | 7.94435 | − | 3.29066i | 1.04314 | − | 0.432085i | ||||
\(59\) | − | 2.51856i | − | 0.327889i | −0.986470 | − | 0.163944i | \(-0.947578\pi\) | ||
0.986470 | − | 0.163944i | \(-0.0524217\pi\) | |||||||
\(60\) | 6.77920 | − | 3.74732i | 0.875191 | − | 0.483778i | ||||
\(61\) | − | 8.48528i | − | 1.08643i | −0.839594 | − | 0.543214i | \(-0.817207\pi\) | ||
0.839594 | − | 0.543214i | \(-0.182793\pi\) | |||||||
\(62\) | 0.634051 | + | 1.53073i | 0.0805245 | + | 0.194403i | ||||
\(63\) | −7.94435 | + | 5.86030i | −1.00089 | + | 0.738329i | ||||
\(64\) | −5.65685 | − | 5.65685i | −0.707107 | − | 0.707107i | ||||
\(65\) | −5.86030 | + | 8.59890i | −0.726881 | + | 1.06656i | ||||
\(66\) | 4.67654 | − | 4.02353i | 0.575643 | − | 0.495263i | ||||
\(67\) | − | 3.29066i | − | 0.402018i | −0.979589 | − | 0.201009i | \(-0.935578\pi\) | ||
0.979589 | − | 0.201009i | \(-0.0644220\pi\) | |||||||
\(68\) | 5.22625 | − | 5.22625i | 0.633776 | − | 0.633776i | ||||
\(69\) | 4.29945 | − | 1.41421i | 0.517593 | − | 0.170251i | ||||
\(70\) | −2.12356 | + | 10.1870i | −0.253813 | + | 1.21758i | ||||
\(71\) | −7.12356 | −0.845412 | −0.422706 | − | 0.906267i | \(-0.638920\pi\) | ||||
−0.422706 | + | 0.906267i | \(0.638920\pi\) | |||||||
\(72\) | −2.04057 | − | 8.23627i | −0.240483 | − | 0.970653i | ||||
\(73\) | 6.58132i | 0.770285i | 0.922857 | + | 0.385142i | \(0.125848\pi\) | ||||
−0.922857 | + | 0.385142i | \(0.874152\pi\) | |||||||
\(74\) | 2.51856 | − | 1.04322i | 0.292777 | − | 0.121272i | ||||
\(75\) | 6.66732 | − | 5.52692i | 0.769875 | − | 0.638194i | ||||
\(76\) | 1.17157 | − | 1.17157i | 0.134389 | − | 0.134389i | ||||
\(77\) | 8.28772i | 0.944473i | ||||||||
\(78\) | 7.43452 | + | 8.64113i | 0.841793 | + | 0.978415i | ||||
\(79\) | 16.4853i | 1.85474i | 0.374147 | + | 0.927370i | \(0.377936\pi\) | ||||
−0.374147 | + | 0.927370i | \(0.622064\pi\) | |||||||
\(80\) | −7.39104 | − | 5.03712i | −0.826343 | − | 0.563167i | ||||
\(81\) | 2.65685 | − | 8.59890i | 0.295206 | − | 0.955434i | ||||
\(82\) | 4.65369 | + | 11.2350i | 0.513914 | + | 1.24070i | ||||
\(83\) | −9.37011 | −1.02850 | −0.514252 | − | 0.857639i | \(-0.671930\pi\) | ||||
−0.514252 | + | 0.857639i | \(0.671930\pi\) | |||||||
\(84\) | 10.1754 | + | 5.13829i | 1.11023 | + | 0.560634i | ||||
\(85\) | 4.65369 | − | 6.82843i | 0.504764 | − | 0.740647i | ||||
\(86\) | −3.25623 | − | 7.86123i | −0.351128 | − | 0.847699i | ||||
\(87\) | −3.29066 | − | 10.0042i | −0.352796 | − | 1.07256i | ||||
\(88\) | −6.58132 | − | 2.72607i | −0.701571 | − | 0.290600i | ||||
\(89\) | 5.03712i | 0.533934i | 0.963706 | + | 0.266967i | \(0.0860214\pi\) | ||||
−0.963706 | + | 0.266967i | \(0.913979\pi\) | |||||||
\(90\) | −3.95520 | − | 8.62302i | −0.416914 | − | 0.908946i | ||||
\(91\) | −15.3137 | −1.60531 | ||||||||
\(92\) | −3.69552 | − | 3.69552i | −0.385284 | − | 0.385284i | ||||
\(93\) | 1.92762 | − | 0.634051i | 0.199885 | − | 0.0657480i | ||||
\(94\) | −1.41421 | − | 3.41421i | −0.145865 | − | 0.352149i | ||||
\(95\) | 1.04322 | − | 1.53073i | 0.107032 | − | 0.157050i | ||||
\(96\) | −7.42733 | + | 6.39021i | −0.758049 | + | 0.652198i | ||||
\(97\) | − | 2.72607i | − | 0.276790i | −0.990377 | − | 0.138395i | \(-0.955806\pi\) | ||
0.990377 | − | 0.138395i | \(-0.0441944\pi\) | |||||||
\(98\) | −5.00208 | + | 2.07193i | −0.505286 | + | 0.209297i | ||||
\(99\) | −4.48528 | − | 6.08034i | −0.450788 | − | 0.611097i | ||||
\(100\) | −9.16710 | − | 3.99553i | −0.916710 | − | 0.399553i | ||||
\(101\) | 13.2039 | 1.31384 | 0.656919 | − | 0.753961i | \(-0.271859\pi\) | ||||
0.656919 | + | 0.753961i | \(0.271859\pi\) | |||||||
\(102\) | −5.90378 | − | 6.86196i | −0.584562 | − | 0.679435i | ||||
\(103\) | −6.01673 | −0.592846 | −0.296423 | − | 0.955057i | \(-0.595794\pi\) | ||||
−0.296423 | + | 0.955057i | \(0.595794\pi\) | |||||||
\(104\) | 5.03712 | − | 12.1607i | 0.493930 | − | 1.19245i | ||||
\(105\) | 12.2468 | + | 3.52735i | 1.19517 | + | 0.344235i | ||||
\(106\) | 2.48528 | + | 6.00000i | 0.241392 | + | 0.582772i | ||||
\(107\) | 8.47343 | 0.819157 | 0.409579 | − | 0.912275i | \(-0.365676\pi\) | ||||
0.409579 | + | 0.912275i | \(0.365676\pi\) | |||||||
\(108\) | −10.2461 | + | 1.73715i | −0.985930 | + | 0.167157i | ||||
\(109\) | 0.485281i | 0.0464815i | 0.999730 | + | 0.0232408i | \(0.00739843\pi\) | ||||
−0.999730 | + | 0.0232408i | \(0.992602\pi\) | |||||||
\(110\) | −7.79679 | − | 1.62530i | −0.743394 | − | 0.154966i | ||||
\(111\) | −1.04322 | − | 3.17157i | −0.0990182 | − | 0.301032i | ||||
\(112\) | − | 13.1626i | − | 1.24375i | ||||||
\(113\) | 8.92177 | 0.839290 | 0.419645 | − | 0.907688i | \(-0.362155\pi\) | ||||
0.419645 | + | 0.907688i | \(0.362155\pi\) | |||||||
\(114\) | −1.32346 | − | 1.53825i | −0.123953 | − | 0.144070i | ||||
\(115\) | −4.82843 | − | 3.29066i | −0.450253 | − | 0.306855i | ||||
\(116\) | −8.59890 | + | 8.59890i | −0.798388 | + | 0.798388i | ||||
\(117\) | 11.2350 | − | 8.28772i | 1.03868 | − | 0.766200i | ||||
\(118\) | 1.36303 | + | 3.29066i | 0.125478 | + | 0.302930i | ||||
\(119\) | 12.1607 | 1.11477 | ||||||||
\(120\) | −6.82941 | + | 8.56499i | −0.623437 | + | 0.781873i | ||||
\(121\) | 4.65685 | 0.423350 | ||||||||
\(122\) | 4.59220 | + | 11.0866i | 0.415758 | + | 1.00373i | ||||
\(123\) | 14.1480 | − | 4.65369i | 1.27568 | − | 0.419609i | ||||
\(124\) | −1.65685 | − | 1.65685i | −0.148790 | − | 0.148790i | ||||
\(125\) | −10.9014 | − | 2.48181i | −0.975051 | − | 0.221980i | ||||
\(126\) | 7.20822 | − | 11.9563i | 0.642159 | − | 1.06515i | ||||
\(127\) | −3.29066 | −0.291999 | −0.145999 | − | 0.989285i | \(-0.546640\pi\) | ||||
−0.145999 | + | 0.989285i | \(0.546640\pi\) | |||||||
\(128\) | 10.4525 | + | 4.32957i | 0.923880 | + | 0.382683i | ||||
\(129\) | −9.89949 | + | 3.25623i | −0.871602 | + | 0.286695i | ||||
\(130\) | 3.00316 | − | 14.4066i | 0.263395 | − | 1.26354i | ||||
\(131\) | 21.8028i | 1.90492i | 0.304663 | + | 0.952460i | \(0.401456\pi\) | ||||
−0.304663 | + | 0.952460i | \(0.598544\pi\) | |||||||
\(132\) | −3.93268 | + | 7.78793i | −0.342296 | + | 0.677852i | ||||
\(133\) | 2.72607 | 0.236380 | ||||||||
\(134\) | 1.78089 | + | 4.29945i | 0.153846 | + | 0.371416i | ||||
\(135\) | −10.8939 | + | 4.04005i | −0.937601 | + | 0.347713i | ||||
\(136\) | −4.00000 | + | 9.65685i | −0.342997 | + | 0.828068i | ||||
\(137\) | −11.9832 | −1.02380 | −0.511899 | − | 0.859046i | \(-0.671058\pi\) | ||||
−0.511899 | + | 0.859046i | \(0.671058\pi\) | |||||||
\(138\) | −4.85214 | + | 4.17461i | −0.413041 | + | 0.355366i | ||||
\(139\) | 14.4853 | 1.22863 | 0.614313 | − | 0.789063i | \(-0.289433\pi\) | ||||
0.614313 | + | 0.789063i | \(0.289433\pi\) | |||||||
\(140\) | −2.73860 | − | 14.4592i | −0.231454 | − | 1.22203i | ||||
\(141\) | −4.29945 | + | 1.41421i | −0.362079 | + | 0.119098i | ||||
\(142\) | 9.30739 | − | 3.85525i | 0.781058 | − | 0.323525i | ||||
\(143\) | − | 11.7206i | − | 0.980126i | ||||||
\(144\) | 7.12356 | + | 9.65685i | 0.593630 | + | 0.804738i | ||||
\(145\) | −7.65685 | + | 11.2350i | −0.635867 | + | 0.933017i | ||||
\(146\) | −3.56178 | − | 8.59890i | −0.294775 | − | 0.711650i | ||||
\(147\) | 2.07193 | + | 6.29902i | 0.170890 | + | 0.519535i | ||||
\(148\) | −2.72607 | + | 2.72607i | −0.224082 | + | 0.224082i | ||||
\(149\) | 14.6792 | 1.20257 | 0.601285 | − | 0.799034i | \(-0.294656\pi\) | ||||
0.601285 | + | 0.799034i | \(0.294656\pi\) | |||||||
\(150\) | −5.72012 | + | 10.8296i | −0.467046 | + | 0.884233i | ||||
\(151\) | 2.82843i | 0.230174i | 0.993355 | + | 0.115087i | \(0.0367147\pi\) | ||||
−0.993355 | + | 0.115087i | \(0.963285\pi\) | |||||||
\(152\) | −0.896683 | + | 2.16478i | −0.0727306 | + | 0.175587i | ||||
\(153\) | −8.92177 | + | 6.58132i | −0.721282 | + | 0.532068i | ||||
\(154\) | −4.48528 | − | 10.8284i | −0.361434 | − | 0.872580i | ||||
\(155\) | −2.16478 | − | 1.47534i | −0.173880 | − | 0.118502i | ||||
\(156\) | −14.3902 | − | 7.26665i | −1.15214 | − | 0.581797i | ||||
\(157\) | 5.78287 | 0.461523 | 0.230762 | − | 0.973010i | \(-0.425878\pi\) | ||||
0.230762 | + | 0.973010i | \(0.425878\pi\) | |||||||
\(158\) | −8.92177 | − | 21.5391i | −0.709778 | − | 1.71356i | ||||
\(159\) | 7.55568 | − | 2.48528i | 0.599204 | − | 0.197096i | ||||
\(160\) | 12.3829 | + | 2.58132i | 0.978956 | + | 0.204071i | ||||
\(161\) | − | 8.59890i | − | 0.677688i | ||||||
\(162\) | 1.18235 | + | 12.6729i | 0.0928938 | + | 0.995676i | ||||
\(163\) | − | 6.01673i | − | 0.471266i | −0.971842 | − | 0.235633i | \(-0.924284\pi\) | ||
0.971842 | − | 0.235633i | \(-0.0757164\pi\) | |||||||
\(164\) | −12.1607 | − | 12.1607i | −0.949590 | − | 0.949590i | ||||
\(165\) | −2.69972 | + | 9.37330i | −0.210173 | + | 0.729710i | ||||
\(166\) | 12.2426 | − | 5.07107i | 0.950213 | − | 0.393591i | ||||
\(167\) | 17.3952i | 1.34608i | 0.739606 | + | 0.673040i | \(0.235012\pi\) | ||||
−0.739606 | + | 0.673040i | \(0.764988\pi\) | |||||||
\(168\) | −16.0756 | − | 1.20661i | −1.24026 | − | 0.0930920i | ||||
\(169\) | 8.65685 | 0.665912 | ||||||||
\(170\) | −2.38482 | + | 11.4403i | −0.182908 | + | 0.877433i | ||||
\(171\) | −2.00000 | + | 1.47534i | −0.152944 | + | 0.112822i | ||||
\(172\) | 8.50894 | + | 8.50894i | 0.648800 | + | 0.648800i | ||||
\(173\) | 21.5391i | 1.63758i | 0.574090 | + | 0.818792i | \(0.305356\pi\) | ||||
−0.574090 | + | 0.818792i | \(0.694644\pi\) | |||||||
\(174\) | 9.71366 | + | 11.2902i | 0.736391 | + | 0.855906i | ||||
\(175\) | −6.01673 | − | 15.3137i | −0.454822 | − | 1.15761i | ||||
\(176\) | 10.0742 | 0.759374 | ||||||||
\(177\) | 4.14386 | − | 1.36303i | 0.311472 | − | 0.102452i | ||||
\(178\) | −2.72607 | − | 6.58132i | −0.204328 | − | 0.493290i | ||||
\(179\) | − | 9.64212i | − | 0.720686i | −0.932820 | − | 0.360343i | \(-0.882660\pi\) | ||
0.932820 | − | 0.360343i | \(-0.117340\pi\) | |||||||
\(180\) | 9.83446 | + | 9.12598i | 0.733017 | + | 0.680210i | ||||
\(181\) | 10.3431i | 0.768800i | 0.923167 | + | 0.384400i | \(0.125592\pi\) | ||||
−0.923167 | + | 0.384400i | \(0.874408\pi\) | |||||||
\(182\) | 20.0083 | − | 8.28772i | 1.48312 | − | 0.614327i | ||||
\(183\) | 13.9611 | − | 4.59220i | 1.03203 | − | 0.339465i | ||||
\(184\) | 6.82843 | + | 2.82843i | 0.503398 | + | 0.208514i | ||||
\(185\) | −2.42742 | + | 3.56178i | −0.178467 | + | 0.261867i | ||||
\(186\) | −2.17541 | + | 1.87165i | −0.159509 | + | 0.137236i | ||||
\(187\) | 9.30739i | 0.680623i | ||||||||
\(188\) | 3.69552 | + | 3.69552i | 0.269523 | + | 0.269523i | ||||
\(189\) | −13.9416 | − | 9.89949i | −1.01410 | − | 0.720082i | ||||
\(190\) | −0.534608 | + | 2.56459i | −0.0387845 | + | 0.186055i | ||||
\(191\) | −5.03712 | −0.364473 | −0.182237 | − | 0.983255i | \(-0.558334\pi\) | ||||
−0.182237 | + | 0.983255i | \(0.558334\pi\) | |||||||
\(192\) | 6.24592 | − | 12.3689i | 0.450760 | − | 0.892645i | ||||
\(193\) | − | 19.7439i | − | 1.42120i | −0.703596 | − | 0.710600i | \(-0.748424\pi\) | ||
0.703596 | − | 0.710600i | \(-0.251576\pi\) | |||||||
\(194\) | 1.47534 | + | 3.56178i | 0.105923 | + | 0.255721i | ||||
\(195\) | −17.3196 | − | 4.98843i | −1.24028 | − | 0.357229i | ||||
\(196\) | 5.41421 | − | 5.41421i | 0.386730 | − | 0.386730i | ||||
\(197\) | − | 11.9832i | − | 0.853770i | −0.904306 | − | 0.426885i | \(-0.859611\pi\) | ||
0.904306 | − | 0.426885i | \(-0.140389\pi\) | |||||||
\(198\) | 9.15096 | + | 5.51693i | 0.650330 | + | 0.392071i | ||||
\(199\) | − | 9.17157i | − | 0.650156i | −0.945687 | − | 0.325078i | \(-0.894610\pi\) | ||
0.945687 | − | 0.325078i | \(-0.105390\pi\) | |||||||
\(200\) | 14.1398 | + | 0.259210i | 0.999832 | + | 0.0183289i | ||||
\(201\) | 5.41421 | − | 1.78089i | 0.381889 | − | 0.125614i | ||||
\(202\) | −17.2517 | + | 7.14590i | −1.21383 | + | 0.502784i | ||||
\(203\) | −20.0083 | −1.40431 | ||||||||
\(204\) | 11.4273 | + | 5.77048i | 0.800073 | + | 0.404014i | ||||
\(205\) | −15.8887 | − | 10.8284i | −1.10971 | − | 0.756290i | ||||
\(206\) | 7.86123 | − | 3.25623i | 0.547718 | − | 0.226872i | ||||
\(207\) | 4.65369 | + | 6.30864i | 0.323454 | + | 0.438481i | ||||
\(208\) | 18.6148i | 1.29070i | ||||||||
\(209\) | 2.08644i | 0.144322i | ||||||||
\(210\) | −17.9102 | + | 2.01921i | −1.23592 | + | 0.139339i | ||||
\(211\) | 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 | ||||
\(213\) | −3.85525 | − | 11.7206i | −0.264157 | − | 0.803083i | ||||
\(214\) | −11.0711 | + | 4.58579i | −0.756803 | + | 0.313478i | ||||
\(215\) | 11.1175 | + | 7.57675i | 0.758205 | + | 0.516730i | ||||
\(216\) | 12.4470 | − | 7.81484i | 0.846912 | − | 0.531732i | ||||
\(217\) | − | 3.85525i | − | 0.261711i | ||||||
\(218\) | −0.262632 | − | 0.634051i | −0.0177877 | − | 0.0429433i | ||||
\(219\) | −10.8284 | + | 3.56178i | −0.731717 | + | 0.240683i | ||||
\(220\) | 11.0666 | − | 2.09603i | 0.746110 | − | 0.141315i | ||||
\(221\) | −17.1978 | −1.15685 | ||||||||
\(222\) | 3.07948 | + | 3.57927i | 0.206681 | + | 0.240225i | ||||
\(223\) | 21.9054 | 1.46690 | 0.733448 | − | 0.679746i | \(-0.237910\pi\) | ||||
0.733448 | + | 0.679746i | \(0.237910\pi\) | |||||||
\(224\) | 7.12356 | + | 17.1978i | 0.475963 | + | 1.14908i | ||||
\(225\) | 12.7019 | + | 7.97878i | 0.846796 | + | 0.531919i | ||||
\(226\) | −11.6569 | + | 4.82843i | −0.775402 | + | 0.321182i | ||||
\(227\) | 4.14386 | 0.275038 | 0.137519 | − | 0.990499i | \(-0.456087\pi\) | ||||
0.137519 | + | 0.990499i | \(0.456087\pi\) | |||||||
\(228\) | 2.56167 | + | 1.29357i | 0.169651 | + | 0.0856689i | ||||
\(229\) | 19.3137i | 1.27629i | 0.769918 | + | 0.638143i | \(0.220297\pi\) | ||||
−0.769918 | + | 0.638143i | \(0.779703\pi\) | |||||||
\(230\) | 8.08954 | + | 1.68633i | 0.533408 | + | 0.111193i | ||||
\(231\) | −13.6360 | + | 4.48528i | −0.897184 | + | 0.295110i | ||||
\(232\) | 6.58132 | − | 15.8887i | 0.432085 | − | 1.04314i | ||||
\(233\) | 15.9414 | 1.04436 | 0.522178 | − | 0.852837i | \(-0.325120\pi\) | ||||
0.522178 | + | 0.852837i | \(0.325120\pi\) | |||||||
\(234\) | −10.1940 | + | 16.9088i | −0.666400 | + | 1.10536i | ||||
\(235\) | 4.82843 | + | 3.29066i | 0.314972 | + | 0.214659i | ||||
\(236\) | −3.56178 | − | 3.56178i | −0.231852 | − | 0.231852i | ||||
\(237\) | −27.1237 | + | 8.92177i | −1.76187 | + | 0.579531i | ||||
\(238\) | −15.8887 | + | 6.58132i | −1.02991 | + | 0.426603i | ||||
\(239\) | −22.2349 | −1.43826 | −0.719129 | − | 0.694877i | \(-0.755459\pi\) | ||||
−0.719129 | + | 0.694877i | \(0.755459\pi\) | |||||||
\(240\) | 4.28772 | − | 14.8868i | 0.276771 | − | 0.960936i | ||||
\(241\) | −6.48528 | −0.417754 | −0.208877 | − | 0.977942i | \(-0.566981\pi\) | ||||
−0.208877 | + | 0.977942i | \(0.566981\pi\) | |||||||
\(242\) | −6.08447 | + | 2.52027i | −0.391125 | + | 0.162009i | ||||
\(243\) | 15.5859 | − | 0.282294i | 0.999836 | − | 0.0181092i | ||||
\(244\) | −12.0000 | − | 12.0000i | −0.768221 | − | 0.768221i | ||||
\(245\) | 4.82106 | − | 7.07401i | 0.308006 | − | 0.451942i | ||||
\(246\) | −15.9667 | + | 13.7372i | −1.01800 | + | 0.875852i | ||||
\(247\) | −3.85525 | −0.245303 | ||||||||
\(248\) | 3.06147 | + | 1.26810i | 0.194403 | + | 0.0805245i | ||||
\(249\) | −5.07107 | − | 15.4169i | −0.321366 | − | 0.977007i | ||||
\(250\) | 15.5865 | − | 2.65716i | 0.985778 | − | 0.168053i | ||||
\(251\) | − | 11.7286i | − | 0.740301i | −0.928972 | − | 0.370150i | \(-0.879306\pi\) | ||
0.928972 | − | 0.370150i | \(-0.120694\pi\) | |||||||
\(252\) | −2.94729 | + | 19.5227i | −0.185662 | + | 1.22982i | ||||
\(253\) | 6.58132 | 0.413764 | ||||||||
\(254\) | 4.29945 | − | 1.78089i | 0.269772 | − | 0.111743i | ||||
\(255\) | 13.7536 | + | 3.96134i | 0.861282 | + | 0.248068i | ||||
\(256\) | −16.0000 | −1.00000 | ||||||||
\(257\) | −16.3128 | −1.01756 | −0.508782 | − | 0.860895i | \(-0.669904\pi\) | ||||
−0.508782 | + | 0.860895i | \(0.669904\pi\) | |||||||
\(258\) | 11.1721 | − | 9.61204i | 0.695542 | − | 0.598419i | ||||
\(259\) | −6.34315 | −0.394144 | ||||||||
\(260\) | 3.87297 | + | 20.4484i | 0.240191 | + | 1.26816i | ||||
\(261\) | 14.6792 | − | 10.8284i | 0.908622 | − | 0.670263i | ||||
\(262\) | −11.7996 | − | 28.4867i | −0.728981 | − | 1.75992i | ||||
\(263\) | 22.2500i | 1.37200i | 0.727604 | + | 0.685998i | \(0.240634\pi\) | ||||
−0.727604 | + | 0.685998i | \(0.759366\pi\) | |||||||
\(264\) | 0.923499 | − | 12.3038i | 0.0568375 | − | 0.757244i | ||||
\(265\) | −8.48528 | − | 5.78287i | −0.521247 | − | 0.355239i | ||||
\(266\) | −3.56178 | + | 1.47534i | −0.218387 | + | 0.0904588i | ||||
\(267\) | −8.28772 | + | 2.72607i | −0.507200 | + | 0.166833i | ||||
\(268\) | −4.65369 | − | 4.65369i | −0.284270 | − | 0.284270i | ||||
\(269\) | −9.64212 | −0.587891 | −0.293945 | − | 0.955822i | \(-0.594968\pi\) | ||||
−0.293945 | + | 0.955822i | \(0.594968\pi\) | |||||||
\(270\) | 12.0472 | − | 11.1743i | 0.733167 | − | 0.680049i | ||||
\(271\) | − | 14.1421i | − | 0.859074i | −0.903049 | − | 0.429537i | \(-0.858677\pi\) | ||
0.903049 | − | 0.429537i | \(-0.141323\pi\) | |||||||
\(272\) | − | 14.7821i | − | 0.896295i | ||||||
\(273\) | −8.28772 | − | 25.1961i | −0.501596 | − | 1.52494i | ||||
\(274\) | 15.6569 | − | 6.48528i | 0.945865 | − | 0.391790i | ||||
\(275\) | 11.7206 | − | 4.60500i | 0.706779 | − | 0.277692i | ||||
\(276\) | 4.08034 | − | 8.08034i | 0.245608 | − | 0.486379i | ||||
\(277\) | −15.0903 | −0.906685 | −0.453343 | − | 0.891336i | \(-0.649769\pi\) | ||||
−0.453343 | + | 0.891336i | \(0.649769\pi\) | |||||||
\(278\) | −18.9259 | + | 7.83938i | −1.13510 | + | 0.470175i | ||||
\(279\) | 2.08644 | + | 2.82843i | 0.124912 | + | 0.169334i | ||||
\(280\) | 11.4034 | + | 17.4097i | 0.681485 | + | 1.04043i | ||||
\(281\) | 3.56178i | 0.212478i | 0.994341 | + | 0.106239i | \(0.0338809\pi\) | ||||
−0.994341 | + | 0.106239i | \(0.966119\pi\) | |||||||
\(282\) | 4.85214 | − | 4.17461i | 0.288941 | − | 0.248594i | ||||
\(283\) | − | 18.0502i | − | 1.07297i | −0.843909 | − | 0.536486i | \(-0.819751\pi\) | ||
0.843909 | − | 0.536486i | \(-0.180249\pi\) | |||||||
\(284\) | −10.0742 | + | 10.0742i | −0.597796 | + | 0.597796i | ||||
\(285\) | 3.08315 | + | 0.888016i | 0.182630 | + | 0.0526015i | ||||
\(286\) | 6.34315 | + | 15.3137i | 0.375078 | + | 0.905519i | ||||
\(287\) | − | 28.2960i | − | 1.67026i | ||||||
\(288\) | −14.5336 | − | 8.76204i | −0.856403 | − | 0.516308i | ||||
\(289\) | −3.34315 | −0.196656 | ||||||||
\(290\) | 3.92382 | − | 18.8231i | 0.230415 | − | 1.10533i | ||||
\(291\) | 4.48528 | − | 1.47534i | 0.262932 | − | 0.0864859i | ||||
\(292\) | 9.30739 | + | 9.30739i | 0.544674 | + | 0.544674i | ||||
\(293\) | − | 2.42742i | − | 0.141811i | −0.997483 | − | 0.0709056i | \(-0.977411\pi\) | ||
0.997483 | − | 0.0709056i | \(-0.0225889\pi\) | |||||||
\(294\) | −6.11611 | − | 7.10875i | −0.356699 | − | 0.414591i | ||||
\(295\) | −4.65369 | − | 3.17157i | −0.270948 | − | 0.184656i | ||||
\(296\) | 2.08644 | − | 5.03712i | 0.121272 | − | 0.292777i | ||||
\(297\) | 7.57675 | − | 10.6704i | 0.439647 | − | 0.619161i | ||||
\(298\) | −19.1794 | + | 7.94435i | −1.11103 | + | 0.460204i | ||||
\(299\) | 12.1607i | 0.703271i | ||||||||
\(300\) | 1.61276 | − | 17.2453i | 0.0931127 | − | 0.995656i | ||||
\(301\) | 19.7990i | 1.14119i | ||||||||
\(302\) | −1.53073 | − | 3.69552i | −0.0880838 | − | 0.212653i | ||||
\(303\) | 7.14590 | + | 21.7248i | 0.410521 | + | 1.24806i | ||||
\(304\) | − | 3.31371i | − | 0.190054i | ||||||
\(305\) | −15.6788 | − | 10.6853i | −0.897763 | − | 0.611841i | ||||
\(306\) | 8.09507 | − | 13.4273i | 0.462764 | − | 0.767589i | ||||
\(307\) | 7.14590i | 0.407838i | 0.978988 | + | 0.203919i | \(0.0653680\pi\) | ||||
−0.978988 | + | 0.203919i | \(0.934632\pi\) | |||||||
\(308\) | 11.7206 | + | 11.7206i | 0.667843 | + | 0.667843i | ||||
\(309\) | −3.25623 | − | 9.89949i | −0.185240 | − | 0.563163i | ||||
\(310\) | 3.62687 | + | 0.756050i | 0.205993 | + | 0.0429407i | ||||
\(311\) | 34.3956 | 1.95040 | 0.975198 | − | 0.221334i | \(-0.0710411\pi\) | ||||
0.975198 | + | 0.221334i | \(0.0710411\pi\) | |||||||
\(312\) | 22.7344 | + | 1.70640i | 1.28708 | + | 0.0966061i | ||||
\(313\) | 17.0179i | 0.961907i | 0.876746 | + | 0.480954i | \(0.159709\pi\) | ||||
−0.876746 | + | 0.480954i | \(0.840291\pi\) | |||||||
\(314\) | −7.55568 | + | 3.12967i | −0.426392 | + | 0.176617i | ||||
\(315\) | 0.824265 | + | 22.0590i | 0.0464421 | + | 1.24288i | ||||
\(316\) | 23.3137 | + | 23.3137i | 1.31150 | + | 1.31150i | ||||
\(317\) | − | 13.2513i | − | 0.744269i | −0.928179 | − | 0.372135i | \(-0.878626\pi\) | ||
0.928179 | − | 0.372135i | \(-0.121374\pi\) | |||||||
\(318\) | −8.52695 | + | 7.33628i | −0.478168 | + | 0.411398i | ||||
\(319\) | − | 15.3137i | − | 0.857403i | ||||||
\(320\) | −17.5761 | + | 3.32894i | −0.982532 | + | 0.186093i | ||||
\(321\) | 4.58579 | + | 13.9416i | 0.255954 | + | 0.778143i | ||||
\(322\) | 4.65369 | + | 11.2350i | 0.259340 | + | 0.626102i | ||||
\(323\) | 3.06147 | 0.170345 | ||||||||
\(324\) | −8.40333 | − | 15.9180i | −0.466851 | − | 0.884336i | ||||
\(325\) | 8.50894 | + | 21.6569i | 0.471991 | + | 1.20131i | ||||
\(326\) | 3.25623 | + | 7.86123i | 0.180346 | + | 0.435393i | ||||
\(327\) | −0.798447 | + | 0.262632i | −0.0441542 | + | 0.0145236i | ||||
\(328\) | 22.4700 | + | 9.30739i | 1.24070 | + | 0.513914i | ||||
\(329\) | 8.59890i | 0.474073i | ||||||||
\(330\) | −1.54544 | − | 13.7079i | −0.0850736 | − | 0.754594i | ||||
\(331\) | −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 | ||||
\(333\) | 4.65369 | − | 3.43289i | 0.255021 | − | 0.188121i | ||||
\(334\) | −9.41421 | − | 22.7279i | −0.515123 | − | 1.24362i | ||||
\(335\) | −6.08034 | − | 4.14386i | −0.332205 | − | 0.226403i | ||||
\(336\) | 21.6569 | − | 7.12356i | 1.18148 | − | 0.388622i | ||||
\(337\) | 27.9222i | 1.52102i | 0.649328 | + | 0.760508i | \(0.275050\pi\) | ||||
−0.649328 | + | 0.760508i | \(0.724950\pi\) | |||||||
\(338\) | −11.3107 | + | 4.68506i | −0.615222 | + | 0.254833i | ||||
\(339\) | 4.82843 | + | 14.6792i | 0.262244 | + | 0.797267i | ||||
\(340\) | −3.07554 | − | 16.2382i | −0.166795 | − | 0.880638i | ||||
\(341\) | 2.95068 | 0.159788 | ||||||||
\(342\) | 1.81468 | − | 3.01001i | 0.0981266 | − | 0.162763i | ||||
\(343\) | −10.4366 | −0.563521 | ||||||||
\(344\) | −15.7225 | − | 6.51246i | −0.847699 | − | 0.351128i | ||||
\(345\) | 2.80109 | − | 9.72524i | 0.150805 | − | 0.523589i | ||||
\(346\) | −11.6569 | − | 28.1421i | −0.626676 | − | 1.51293i | ||||
\(347\) | −0.185709 | −0.00996939 | −0.00498469 | − | 0.999988i | \(-0.501587\pi\) | ||||
−0.00498469 | + | 0.999988i | \(0.501587\pi\) | |||||||
\(348\) | −18.8017 | − | 9.49433i | −1.00788 | − | 0.508949i | ||||
\(349\) | 2.34315i | 0.125426i | 0.998032 | + | 0.0627129i | \(0.0199752\pi\) | ||||
−0.998032 | + | 0.0627129i | \(0.980025\pi\) | |||||||
\(350\) | 16.1490 | + | 16.7521i | 0.863198 | + | 0.895437i | ||||
\(351\) | 19.7164 | + | 14.0000i | 1.05238 | + | 0.747265i | ||||
\(352\) | −13.1626 | + | 5.45214i | −0.701571 | + | 0.290600i | ||||
\(353\) | 32.3630 | 1.72251 | 0.861254 | − | 0.508175i | \(-0.169680\pi\) | ||||
0.861254 | + | 0.508175i | \(0.169680\pi\) | |||||||
\(354\) | −4.67654 | + | 4.02353i | −0.248556 | + | 0.213848i | ||||
\(355\) | −8.97056 | + | 13.1626i | −0.476108 | + | 0.698600i | ||||
\(356\) | 7.12356 | + | 7.12356i | 0.377548 | + | 0.377548i | ||||
\(357\) | 6.58132 | + | 20.0083i | 0.348320 | + | 1.05895i | ||||
\(358\) | 5.21828 | + | 12.5980i | 0.275795 | + | 0.665827i | ||||
\(359\) | −9.21001 | −0.486086 | −0.243043 | − | 0.970016i | \(-0.578146\pi\) | ||||
−0.243043 | + | 0.970016i | \(0.578146\pi\) | |||||||
\(360\) | −17.7883 | − | 6.60129i | −0.937525 | − | 0.347919i | ||||
\(361\) | −18.3137 | −0.963879 | ||||||||
\(362\) | −5.59767 | − | 13.5140i | −0.294207 | − | 0.710279i | ||||
\(363\) | 2.52027 | + | 7.66206i | 0.132280 | + | 0.402154i | ||||
\(364\) | −21.6569 | + | 21.6569i | −1.13513 | + | 1.13513i | ||||
\(365\) | 12.1607 | + | 8.28772i | 0.636519 | + | 0.433799i | ||||
\(366\) | −15.7557 | + | 13.5557i | −0.823566 | + | 0.708567i | ||||
\(367\) | −2.16148 | −0.112828 | −0.0564142 | − | 0.998407i | \(-0.517967\pi\) | ||||
−0.0564142 | + | 0.998407i | \(0.517967\pi\) | |||||||
\(368\) | −10.4525 | −0.544874 | ||||||||
\(369\) | 15.3137 | + | 20.7596i | 0.797200 | + | 1.08070i | ||||
\(370\) | 1.24395 | − | 5.96740i | 0.0646699 | − | 0.310230i | ||||
\(371\) | − | 15.1114i | − | 0.784543i | ||||||
\(372\) | 1.82939 | − | 3.62275i | 0.0948493 | − | 0.187831i | ||||
\(373\) | 24.3976 | 1.26326 | 0.631631 | − | 0.775269i | \(-0.282386\pi\) | ||||
0.631631 | + | 0.775269i | \(0.282386\pi\) | |||||||
\(374\) | −5.03712 | − | 12.1607i | −0.260463 | − | 0.628814i | ||||
\(375\) | −1.81640 | − | 19.2795i | −0.0937987 | − | 0.995591i | ||||
\(376\) | −6.82843 | − | 2.82843i | −0.352149 | − | 0.145865i | ||||
\(377\) | 28.2960 | 1.45732 | ||||||||
\(378\) | 23.5731 | + | 5.38919i | 1.21247 | + | 0.277190i | ||||
\(379\) | 20.8284 | 1.06988 | 0.534942 | − | 0.844889i | \(-0.320333\pi\) | ||||
0.534942 | + | 0.844889i | \(0.320333\pi\) | |||||||
\(380\) | −0.689446 | − | 3.64012i | −0.0353678 | − | 0.186734i | ||||
\(381\) | −1.78089 | − | 5.41421i | −0.0912378 | − | 0.277379i | ||||
\(382\) | 6.58132 | − | 2.72607i | 0.336729 | − | 0.139478i | ||||
\(383\) | − | 29.1158i | − | 1.48775i | −0.668320 | − | 0.743874i | \(-0.732986\pi\) | ||
0.668320 | − | 0.743874i | \(-0.267014\pi\) | |||||||
\(384\) | −1.46671 | + | 19.5410i | −0.0748477 | + | 0.997195i | ||||
\(385\) | 15.3137 | + | 10.4366i | 0.780459 | + | 0.531896i | ||||
\(386\) | 10.6853 | + | 25.7967i | 0.543870 | + | 1.31302i | ||||
\(387\) | −10.7151 | − | 14.5257i | −0.544681 | − | 0.738381i | ||||
\(388\) | −3.85525 | − | 3.85525i | −0.195720 | − | 0.195720i | ||||
\(389\) | −7.55568 | −0.383088 | −0.191544 | − | 0.981484i | \(-0.561350\pi\) | ||||
−0.191544 | + | 0.981484i | \(0.561350\pi\) | |||||||
\(390\) | 25.3289 | − | 2.85560i | 1.28258 | − | 0.144599i | ||||
\(391\) | − | 9.65685i | − | 0.488368i | ||||||
\(392\) | −4.14386 | + | 10.0042i | −0.209297 | + | 0.505286i | ||||
\(393\) | −35.8728 | + | 11.7996i | −1.80954 | + | 0.595211i | ||||
\(394\) | 6.48528 | + | 15.6569i | 0.326724 | + | 0.788781i | ||||
\(395\) | 30.4608 | + | 20.7596i | 1.53265 | + | 1.04453i | ||||
\(396\) | −14.9420 | − | 2.25576i | −0.750866 | − | 0.113356i | ||||
\(397\) | 27.1237 | 1.36130 | 0.680650 | − | 0.732609i | \(-0.261697\pi\) | ||||
0.680650 | + | 0.732609i | \(0.261697\pi\) | |||||||
\(398\) | 4.96362 | + | 11.9832i | 0.248804 | + | 0.600665i | ||||
\(399\) | 1.47534 | + | 4.48528i | 0.0738593 | + | 0.224545i | ||||
\(400\) | −18.6148 | + | 7.31371i | −0.930739 | + | 0.365685i | ||||
\(401\) | 15.1114i | 0.754625i | 0.926086 | + | 0.377313i | \(0.123152\pi\) | ||||
−0.926086 | + | 0.377313i | \(0.876848\pi\) | |||||||
\(402\) | −6.11020 | + | 5.25700i | −0.304749 | + | 0.262195i | ||||
\(403\) | 5.45214i | 0.271590i | ||||||||
\(404\) | 18.6731 | − | 18.6731i | 0.929024 | − | 0.929024i | ||||
\(405\) | −12.5430 | − | 15.7377i | −0.623266 | − | 0.782010i | ||||
\(406\) | 26.1421 | − | 10.8284i | 1.29741 | − | 0.537406i | ||||
\(407\) | − | 4.85483i | − | 0.240645i | ||||||
\(408\) | −18.0535 | − | 1.35506i | −0.893781 | − | 0.0670856i | ||||
\(409\) | −12.8284 | −0.634325 | −0.317162 | − | 0.948371i | \(-0.602730\pi\) | ||||
−0.317162 | + | 0.948371i | \(0.602730\pi\) | |||||||
\(410\) | 26.6199 | + | 5.54912i | 1.31466 | + | 0.274051i | ||||
\(411\) | −6.48528 | − | 19.7164i | −0.319895 | − | 0.972537i | ||||
\(412\) | −8.50894 | + | 8.50894i | −0.419205 | + | 0.419205i | ||||
\(413\) | − | 8.28772i | − | 0.407812i | ||||||
\(414\) | −9.49456 | − | 5.72408i | −0.466632 | − | 0.281323i | ||||
\(415\) | −11.7996 | + | 17.3137i | −0.579219 | + | 0.849897i | ||||
\(416\) | −10.0742 | − | 24.3214i | −0.493930 | − | 1.19245i | ||||
\(417\) | 7.83938 | + | 23.8331i | 0.383896 | + | 1.16711i | ||||
\(418\) | −1.12918 | − | 2.72607i | −0.0552298 | − | 0.133336i | ||||
\(419\) | 2.51856i | 0.123040i | 0.998106 | + | 0.0615199i | \(0.0195948\pi\) | ||||
−0.998106 | + | 0.0615199i | \(0.980405\pi\) | |||||||
\(420\) | 22.3080 | − | 12.3312i | 1.08852 | − | 0.601699i | ||||
\(421\) | − | 34.8284i | − | 1.69743i | −0.528848 | − | 0.848717i | \(-0.677376\pi\) | ||
0.528848 | − | 0.848717i | \(-0.322624\pi\) | |||||||
\(422\) | −24.1522 | + | 10.0042i | −1.17571 | + | 0.486995i | ||||
\(423\) | −4.65369 | − | 6.30864i | −0.226270 | − | 0.306737i | ||||
\(424\) | 12.0000 | + | 4.97056i | 0.582772 | + | 0.241392i | ||||
\(425\) | −6.75699 | − | 17.1978i | −0.327762 | − | 0.834216i | ||||
\(426\) | 11.3803 | + | 13.2273i | 0.551376 | + | 0.640863i | ||||
\(427\) | − | 27.9222i | − | 1.35125i | ||||||
\(428\) | 11.9832 | − | 11.9832i | 0.579232 | − | 0.579232i | ||||
\(429\) | 19.2842 | − | 6.34315i | 0.931052 | − | 0.306250i | ||||
\(430\) | −18.6262 | − | 3.88277i | −0.898234 | − | 0.187244i | ||||
\(431\) | −27.2720 | −1.31365 | −0.656824 | − | 0.754044i | \(-0.728101\pi\) | ||||
−0.656824 | + | 0.754044i | \(0.728101\pi\) | |||||||
\(432\) | −12.0335 | + | 16.9469i | −0.578960 | + | 0.815356i | ||||
\(433\) | − | 23.5992i | − | 1.13410i | −0.823682 | − | 0.567052i | \(-0.808084\pi\) | ||
0.823682 | − | 0.567052i | \(-0.191916\pi\) | |||||||
\(434\) | 2.08644 | + | 5.03712i | 0.100152 | + | 0.241790i | ||||
\(435\) | −22.6291 | − | 6.51770i | −1.08498 | − | 0.312500i | ||||
\(436\) | 0.686292 | + | 0.686292i | 0.0328674 | + | 0.0328674i | ||||
\(437\) | − | 2.16478i | − | 0.103556i | ||||||
\(438\) | 12.2204 | − | 10.5140i | 0.583913 | − | 0.502378i | ||||
\(439\) | 28.4853i | 1.35953i | 0.733431 | + | 0.679764i | \(0.237918\pi\) | ||||
−0.733431 | + | 0.679764i | \(0.762082\pi\) | |||||||
\(440\) | −13.3248 | + | 8.72780i | −0.635237 | + | 0.416081i | ||||
\(441\) | −9.24264 | + | 6.81801i | −0.440126 | + | 0.324667i | ||||
\(442\) | 22.4700 | − | 9.30739i | 1.06879 | − | 0.442707i | ||||
\(443\) | −1.60766 | −0.0763821 | −0.0381910 | − | 0.999270i | \(-0.512160\pi\) | ||||
−0.0381910 | + | 0.999270i | \(0.512160\pi\) | |||||||
\(444\) | −5.96062 | − | 3.00994i | −0.282878 | − | 0.142846i | ||||
\(445\) | 9.30739 | + | 6.34315i | 0.441212 | + | 0.300694i | ||||
\(446\) | −28.6208 | + | 11.8551i | −1.35524 | + | 0.561357i | ||||
\(447\) | 7.94435 | + | 24.1522i | 0.375755 | + | 1.14236i | ||||
\(448\) | −18.6148 | − | 18.6148i | −0.879465 | − | 0.879465i | ||||
\(449\) | − | 35.0067i | − | 1.65207i | −0.563620 | − | 0.826035i | \(-0.690592\pi\) | ||
0.563620 | − | 0.826035i | \(-0.309408\pi\) | |||||||
\(450\) | −20.9140 | − | 3.55054i | −0.985893 | − | 0.167374i | ||||
\(451\) | 21.6569 | 1.01978 | ||||||||
\(452\) | 12.6173 | − | 12.6173i | 0.593467 | − | 0.593467i | ||||
\(453\) | −4.65369 | + | 1.53073i | −0.218650 | + | 0.0719201i | ||||
\(454\) | −5.41421 | + | 2.24264i | −0.254102 | + | 0.105252i | ||||
\(455\) | −19.2842 | + | 28.2960i | −0.904060 | + | 1.32654i | ||||
\(456\) | −4.04706 | − | 0.303766i | −0.189521 | − | 0.0142251i | ||||
\(457\) | − | 18.6148i | − | 0.870762i | −0.900246 | − | 0.435381i | \(-0.856614\pi\) | ||
0.900246 | − | 0.435381i | \(-0.143386\pi\) | |||||||
\(458\) | −10.4525 | − | 25.2346i | −0.488413 | − | 1.17913i | ||||
\(459\) | −15.6569 | − | 11.1175i | −0.730799 | − | 0.518919i | ||||
\(460\) | −11.4821 | + | 2.17473i | −0.535357 | + | 0.101398i | ||||
\(461\) | 3.99390 | 0.186014 | 0.0930072 | − | 0.995665i | \(-0.470352\pi\) | ||||
0.0930072 | + | 0.995665i | \(0.470352\pi\) | |||||||
\(462\) | 15.3889 | − | 13.2401i | 0.715957 | − | 0.615984i | ||||
\(463\) | −25.7607 | −1.19720 | −0.598600 | − | 0.801048i | \(-0.704276\pi\) | ||||
−0.598600 | + | 0.801048i | \(0.704276\pi\) | |||||||
\(464\) | 24.3214i | 1.12909i | ||||||||
\(465\) | 1.25584 | − | 4.36023i | 0.0582384 | − | 0.202201i | ||||
\(466\) | −20.8284 | + | 8.62742i | −0.964858 | + | 0.399657i | ||||
\(467\) | −15.8645 | −0.734120 | −0.367060 | − | 0.930197i | \(-0.619636\pi\) | ||||
−0.367060 | + | 0.930197i | \(0.619636\pi\) | |||||||
\(468\) | 4.16810 | − | 27.6093i | 0.192670 | − | 1.27624i | ||||
\(469\) | − | 10.8284i | − | 0.500010i | ||||||
\(470\) | −8.08954 | − | 1.68633i | −0.373142 | − | 0.0777844i | ||||
\(471\) | 3.12967 | + | 9.51472i | 0.144207 | + | 0.438415i | ||||
\(472\) | 6.58132 | + | 2.72607i | 0.302930 | + | 0.125478i | ||||
\(473\) | −15.1535 | −0.696758 | ||||||||
\(474\) | 30.6104 | − | 26.3361i | 1.40598 | − | 1.20966i | ||||
\(475\) | −1.51472 | − | 3.85525i | −0.0695001 | − | 0.176891i | ||||
\(476\) | 17.1978 | − | 17.1978i | 0.788260 | − | 0.788260i | ||||
\(477\) | 8.17821 | + | 11.0866i | 0.374455 | + | 0.507618i | ||||
\(478\) | 29.0513 | − | 12.0335i | 1.32878 | − | 0.550397i | ||||
\(479\) | 19.2842 | 0.881120 | 0.440560 | − | 0.897723i | \(-0.354780\pi\) | ||||
0.440560 | + | 0.897723i | \(0.354780\pi\) | |||||||
\(480\) | 2.45448 | + | 21.7710i | 0.112031 | + | 0.993705i | ||||
\(481\) | 8.97056 | 0.409022 | ||||||||
\(482\) | 8.47343 | − | 3.50981i | 0.385954 | − | 0.159867i | ||||
\(483\) | 14.1480 | − | 4.65369i | 0.643757 | − | 0.211750i | ||||
\(484\) | 6.58579 | − | 6.58579i | 0.299354 | − | 0.299354i | ||||
\(485\) | −5.03712 | − | 3.43289i | −0.228724 | − | 0.155879i | ||||
\(486\) | −20.2112 | + | 8.80386i | −0.916798 | + | 0.399351i | ||||
\(487\) | −8.74280 | −0.396174 | −0.198087 | − | 0.980184i | \(-0.563473\pi\) | ||||
−0.198087 | + | 0.980184i | \(0.563473\pi\) | |||||||
\(488\) | 22.1731 | + | 9.18440i | 1.00373 | + | 0.415758i | ||||
\(489\) | 9.89949 | − | 3.25623i | 0.447671 | − | 0.147252i | ||||
\(490\) | −2.47059 | + | 11.8518i | −0.111610 | + | 0.535409i | ||||
\(491\) | − | 36.9142i | − | 1.66591i | −0.553338 | − | 0.832957i | \(-0.686646\pi\) | ||
0.553338 | − | 0.832957i | \(-0.313354\pi\) | |||||||
\(492\) | 13.4270 | − | 26.5896i | 0.605336 | − | 1.19875i | ||||
\(493\) | −22.4700 | −1.01200 | ||||||||
\(494\) | 5.03712 | − | 2.08644i | 0.226631 | − | 0.0938735i | ||||
\(495\) | −16.8832 | + | 0.630865i | −0.758845 | + | 0.0283553i | ||||
\(496\) | −4.68629 | −0.210421 | ||||||||
\(497\) | −23.4412 | −1.05148 | ||||||||
\(498\) | 14.9692 | + | 17.3987i | 0.670788 | + | 0.779656i | ||||
\(499\) | −37.1127 | −1.66139 | −0.830696 | − | 0.556726i | \(-0.812057\pi\) | ||||
−0.830696 | + | 0.556726i | \(0.812057\pi\) | |||||||
\(500\) | −18.9267 | + | 11.9071i | −0.846429 | + | 0.532502i | ||||
\(501\) | −28.6208 | + | 9.41421i | −1.27868 | + | 0.420596i | ||||
\(502\) | 6.34746 | + | 15.3241i | 0.283301 | + | 0.683949i | ||||
\(503\) | − | 9.63274i | − | 0.429503i | −0.976669 | − | 0.214751i | \(-0.931106\pi\) | ||
0.976669 | − | 0.214751i | \(-0.0688941\pi\) | |||||||
\(504\) | −6.71481 | − | 27.1027i | −0.299101 | − | 1.20725i | ||||
\(505\) | 16.6274 | − | 24.3976i | 0.739910 | − | 1.08568i | ||||
\(506\) | −8.59890 | + | 3.56178i | −0.382268 | + | 0.158341i | ||||
\(507\) | 4.68506 | + | 14.2434i | 0.208071 | + | 0.632570i | ||||
\(508\) | −4.65369 | + | 4.65369i | −0.206474 | + | 0.206474i | ||||
\(509\) | 13.2039 | 0.585253 | 0.292626 | − | 0.956227i | \(-0.405471\pi\) | ||||
0.292626 | + | 0.956227i | \(0.405471\pi\) | |||||||
\(510\) | −20.1138 | + | 2.26764i | −0.890652 | + | 0.100413i | ||||
\(511\) | 21.6569i | 0.958043i | ||||||||
\(512\) | 20.9050 | − | 8.65914i | 0.923880 | − | 0.382683i | ||||
\(513\) | −3.50981 | − | 2.49221i | −0.154962 | − | 0.110034i | ||||
\(514\) | 21.3137 | − | 8.82843i | 0.940107 | − | 0.389405i | ||||
\(515\) | −7.57675 | + | 11.1175i | −0.333871 | + | 0.489894i | ||||
\(516\) | −9.39500 | + | 18.6050i | −0.413592 | + | 0.819040i | ||||
\(517\) | −6.58132 | −0.289446 | ||||||||
\(518\) | 8.28772 | − | 3.43289i | 0.364141 | − | 0.150832i | ||||
\(519\) | −35.4388 | + | 11.6569i | −1.55559 | + | 0.511679i | ||||
\(520\) | −16.1269 | − | 24.6211i | −0.707210 | − | 1.07971i | ||||
\(521\) | 34.3956i | 1.50690i | 0.657506 | + | 0.753450i | \(0.271612\pi\) | ||||
−0.657506 | + | 0.753450i | \(0.728388\pi\) | |||||||
\(522\) | −13.3191 | + | 22.0924i | −0.582959 | + | 0.966957i | ||||
\(523\) | 12.5980i | 0.550874i | 0.961319 | + | 0.275437i | \(0.0888225\pi\) | ||||
−0.961319 | + | 0.275437i | \(0.911177\pi\) | |||||||
\(524\) | 30.8338 | + | 30.8338i | 1.34698 | + | 1.34698i | ||||
\(525\) | 21.9399 | − | 18.1872i | 0.957534 | − | 0.793755i | ||||
\(526\) | −12.0416 | − | 29.0711i | −0.525040 | − | 1.26756i | ||||
\(527\) | − | 4.32957i | − | 0.188599i | ||||||
\(528\) | 5.45214 | + | 16.5754i | 0.237274 | + | 0.721353i | ||||
\(529\) | 16.1716 | 0.703112 | ||||||||
\(530\) | 14.2162 | + | 2.96348i | 0.617513 | + | 0.128725i | ||||
\(531\) | 4.48528 | + | 6.08034i | 0.194645 | + | 0.263864i | ||||
\(532\) | 3.85525 | − | 3.85525i | 0.167146 | − | 0.167146i | ||||
\(533\) | 40.0166i | 1.73331i | ||||||||
\(534\) | 9.35309 | − | 8.04706i | 0.404748 | − | 0.348230i | ||||
\(535\) | 10.6704 | − | 15.6569i | 0.461322 | − | 0.676905i | ||||
\(536\) | 8.59890 | + | 3.56178i | 0.371416 | + | 0.153846i | ||||
\(537\) | 15.8645 | − | 5.21828i | 0.684602 | − | 0.225185i | ||||
\(538\) | 12.5980 | − | 5.21828i | 0.543140 | − | 0.224976i | ||||
\(539\) | 9.64212i | 0.415316i | ||||||||
\(540\) | −9.69286 | + | 21.1199i | −0.417114 | + | 0.908854i | ||||
\(541\) | − | 16.0000i | − | 0.687894i | −0.938989 | − | 0.343947i | \(-0.888236\pi\) | ||
0.938989 | − | 0.343947i | \(-0.111764\pi\) | |||||||
\(542\) | 7.65367 | + | 18.4776i | 0.328753 | + | 0.793680i | ||||
\(543\) | −17.0179 | + | 5.59767i | −0.730307 | + | 0.240219i | ||||
\(544\) | 8.00000 | + | 19.3137i | 0.342997 | + | 0.828068i | ||||
\(545\) | 0.896683 | + | 0.611105i | 0.0384097 | + | 0.0261769i | ||||
\(546\) | 24.4645 | + | 28.4350i | 1.04698 | + | 1.21691i | ||||
\(547\) | − | 11.0011i | − | 0.470375i | −0.971950 | − | 0.235188i | \(-0.924430\pi\) | ||
0.971950 | − | 0.235188i | \(-0.0755704\pi\) | |||||||
\(548\) | −16.9469 | + | 16.9469i | −0.723934 | + | 0.723934i | ||||
\(549\) | 15.1114 | + | 20.4853i | 0.644937 | + | 0.874291i | ||||
\(550\) | −12.8215 | + | 12.3599i | −0.546711 | + | 0.527027i | ||||
\(551\) | −5.03712 | −0.214589 | ||||||||
\(552\) | −0.958174 | + | 12.7657i | −0.0407826 | + | 0.543346i | ||||
\(553\) | 54.2474i | 2.30683i | ||||||||
\(554\) | 19.7164 | − | 8.16679i | 0.837668 | − | 0.346973i | ||||
\(555\) | −7.17401 | − | 2.06628i | −0.304520 | − | 0.0877085i | ||||
\(556\) | 20.4853 | − | 20.4853i | 0.868769 | − | 0.868769i | ||||
\(557\) | 4.96362i | 0.210315i | 0.994456 | + | 0.105158i | \(0.0335347\pi\) | ||||
−0.994456 | + | 0.105158i | \(0.966465\pi\) | |||||||
\(558\) | −4.25680 | − | 2.56634i | −0.180205 | − | 0.108642i | ||||
\(559\) | − | 28.0000i | − | 1.18427i | ||||||
\(560\) | −24.3214 | − | 16.5754i | −1.02777 | − | 0.700440i | ||||
\(561\) | −15.3137 | + | 5.03712i | −0.646545 | + | 0.212667i | ||||
\(562\) | −1.92762 | − | 4.65369i | −0.0813119 | − | 0.196304i | ||||
\(563\) | −21.9874 | −0.926658 | −0.463329 | − | 0.886186i | \(-0.653345\pi\) | ||||
−0.463329 | + | 0.886186i | \(0.653345\pi\) | |||||||
\(564\) | −4.08034 | + | 8.08034i | −0.171813 | + | 0.340244i | ||||
\(565\) | 11.2350 | − | 16.4853i | 0.472660 | − | 0.693541i | ||||
\(566\) | 9.76869 | + | 23.5837i | 0.410609 | + | 0.991297i | ||||
\(567\) | 8.74280 | − | 28.2960i | 0.367163 | − | 1.18832i | ||||
\(568\) | 7.71049 | − | 18.6148i | 0.323525 | − | 0.781058i | ||||
\(569\) | − | 15.7225i | − | 0.659120i | −0.944135 | − | 0.329560i | \(-0.893100\pi\) | ||
0.944135 | − | 0.329560i | \(-0.106900\pi\) | |||||||
\(570\) | −4.50892 | + | 0.508339i | −0.188858 | + | 0.0212920i | ||||
\(571\) | 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 | ||||
\(573\) | −2.72607 | − | 8.28772i | −0.113883 | − | 0.346224i | ||||
\(574\) | 15.3137 | + | 36.9706i | 0.639182 | + | 1.54312i | ||||
\(575\) | −12.1607 | + | 4.77791i | −0.507136 | + | 0.199253i | ||||
\(576\) | 23.7311 | + | 3.58261i | 0.988796 | + | 0.149276i | ||||
\(577\) | 3.85525i | 0.160496i | 0.996775 | + | 0.0802480i | \(0.0255712\pi\) | ||||
−0.996775 | + | 0.0802480i | \(0.974429\pi\) | |||||||
\(578\) | 4.36803 | − | 1.80930i | 0.181686 | − | 0.0752569i | ||||
\(579\) | 32.4853 | − | 10.6853i | 1.35004 | − | 0.444068i | ||||
\(580\) | 5.06027 | + | 26.7171i | 0.210116 | + | 1.10937i | ||||
\(581\) | −30.8338 | −1.27920 | ||||||||
\(582\) | −5.06186 | + | 4.35504i | −0.209821 | + | 0.180522i | ||||
\(583\) | 11.5657 | 0.479004 | ||||||||
\(584\) | −17.1978 | − | 7.12356i | −0.711650 | − | 0.294775i | ||||
\(585\) | −1.16569 | − | 31.1961i | −0.0481952 | − | 1.28980i | ||||
\(586\) | 1.31371 | + | 3.17157i | 0.0542688 | + | 0.131016i | ||||
\(587\) | 7.20533 | 0.297396 | 0.148698 | − | 0.988883i | \(-0.452492\pi\) | ||||
0.148698 | + | 0.988883i | \(0.452492\pi\) | |||||||
\(588\) | 11.8383 | + | 5.97801i | 0.488204 | + | 0.246529i | ||||
\(589\) | − | 0.970563i | − | 0.0399913i | ||||||
\(590\) | 7.79679 | + | 1.62530i | 0.320989 | + | 0.0669125i | ||||
\(591\) | 19.7164 | − | 6.48528i | 0.811023 | − | 0.266769i | ||||
\(592\) | 7.71049i | 0.316899i | ||||||||
\(593\) | 1.00547 | 0.0412897 | 0.0206448 | − | 0.999787i | \(-0.493428\pi\) | ||||
0.0206448 | + | 0.999787i | \(0.493428\pi\) | |||||||
\(594\) | −4.12471 | + | 18.0421i | −0.169239 | + | 0.740276i | ||||
\(595\) | 15.3137 | − | 22.4700i | 0.627801 | − | 0.921181i | ||||
\(596\) | 20.7596 | − | 20.7596i | 0.850346 | − | 0.850346i | ||||
\(597\) | 15.0903 | − | 4.96362i | 0.617603 | − | 0.203147i | ||||
\(598\) | −6.58132 | − | 15.8887i | −0.269130 | − | 0.649737i | ||||
\(599\) | 32.3092 | 1.32012 | 0.660058 | − | 0.751214i | \(-0.270532\pi\) | ||||
0.660058 | + | 0.751214i | \(0.270532\pi\) | |||||||
\(600\) | 7.22590 | + | 23.4048i | 0.294996 | + | 0.955498i | ||||
\(601\) | 13.5147 | 0.551277 | 0.275638 | − | 0.961261i | \(-0.411111\pi\) | ||||
0.275638 | + | 0.961261i | \(0.411111\pi\) | |||||||
\(602\) | −10.7151 | − | 25.8686i | −0.436716 | − | 1.05433i | ||||
\(603\) | 5.86030 | + | 7.94435i | 0.238650 | + | 0.323519i | ||||
\(604\) | 4.00000 | + | 4.00000i | 0.162758 | + | 0.162758i | ||||
\(605\) | 5.86428 | − | 8.60474i | 0.238417 | − | 0.349833i | ||||
\(606\) | −21.0939 | − | 24.5174i | −0.856882 | − | 0.995953i | ||||
\(607\) | 4.88755 | 0.198380 | 0.0991898 | − | 0.995069i | \(-0.468375\pi\) | ||||
0.0991898 | + | 0.995069i | \(0.468375\pi\) | |||||||
\(608\) | 1.79337 | + | 4.32957i | 0.0727306 | + | 0.175587i | ||||
\(609\) | −10.8284 | − | 32.9203i | −0.438790 | − | 1.33400i | ||||
\(610\) | 26.2681 | + | 5.47580i | 1.06357 | + | 0.221709i | ||||
\(611\) | − | 12.1607i | − | 0.491969i | ||||||
\(612\) | −3.30990 | + | 21.9247i | −0.133795 | + | 0.886252i | ||||
\(613\) | −23.2685 | −0.939804 | −0.469902 | − | 0.882718i | \(-0.655711\pi\) | ||||
−0.469902 | + | 0.882718i | \(0.655711\pi\) | |||||||
\(614\) | −3.86733 | − | 9.33657i | −0.156073 | − | 0.376793i | ||||
\(615\) | 9.21742 | − | 32.0024i | 0.371682 | − | 1.29046i | ||||
\(616\) | −21.6569 | − | 8.97056i | −0.872580 | − | 0.361434i | ||||
\(617\) | −8.55035 | −0.344224 | −0.172112 | − | 0.985077i | \(-0.555059\pi\) | ||||
−0.172112 | + | 0.985077i | \(0.555059\pi\) | |||||||
\(618\) | 9.61204 | + | 11.1721i | 0.386653 | + | 0.449406i | ||||
\(619\) | −2.48528 | −0.0998919 | −0.0499459 | − | 0.998752i | \(-0.515905\pi\) | ||||
−0.0499459 | + | 0.998752i | \(0.515905\pi\) | |||||||
\(620\) | −5.14791 | + | 0.975024i | −0.206745 | + | 0.0391579i | ||||
\(621\) | −7.86123 | + | 11.0711i | −0.315460 | + | 0.444267i | ||||
\(622\) | −44.9400 | + | 18.6148i | −1.80193 | + | 0.746384i | ||||
\(623\) | 16.5754i | 0.664081i | ||||||||
\(624\) | −30.6274 | + | 10.0742i | −1.22608 | + | 0.403292i | ||||
\(625\) | −18.3137 | + | 17.0179i | −0.732548 | + | 0.680715i | ||||
\(626\) | −9.21001 | − | 22.2349i | −0.368106 | − | 0.888686i | ||||
\(627\) | −3.43289 | + | 1.12918i | −0.137096 | + | 0.0450949i | ||||
\(628\) | 8.17821 | − | 8.17821i | 0.326346 | − | 0.326346i | ||||
\(629\) | −7.12356 | −0.284035 | ||||||||
\(630\) | −13.0152 | − | 28.3754i | −0.518538 | − | 1.13050i | ||||
\(631\) | − | 2.14214i | − | 0.0852771i | −0.999091 | − | 0.0426385i | \(-0.986424\pi\) | ||
0.999091 | − | 0.0426385i | \(-0.0135764\pi\) | |||||||
\(632\) | −43.0781 | − | 17.8435i | −1.71356 | − | 0.709778i | ||||
\(633\) | 10.0042 | + | 30.4144i | 0.397630 | + | 1.20886i | ||||
\(634\) | 7.17157 | + | 17.3137i | 0.284820 | + | 0.687615i | ||||
\(635\) | −4.14386 | + | 6.08034i | −0.164444 | + | 0.241291i | ||||
\(636\) | 7.17063 | − | 14.2001i | 0.284334 | − | 0.563069i | ||||
\(637\) | −17.8163 | −0.705908 | ||||||||
\(638\) | 8.28772 | + | 20.0083i | 0.328114 | + | 0.792137i | ||||
\(639\) | 17.1978 | − | 12.6863i | 0.680335 | − | 0.501862i | ||||
\(640\) | 21.1626 | − | 13.8616i | 0.836526 | − | 0.547927i | ||||
\(641\) | 35.0067i | 1.38268i | 0.722529 | + | 0.691341i | \(0.242980\pi\) | ||||
−0.722529 | + | 0.691341i | \(0.757020\pi\) | |||||||
\(642\) | −13.5367 | − | 15.7337i | −0.534253 | − | 0.620961i | ||||
\(643\) | 35.0681i | 1.38295i | 0.722401 | + | 0.691475i | \(0.243039\pi\) | ||||
−0.722401 | + | 0.691475i | \(0.756961\pi\) | |||||||
\(644\) | −12.1607 | − | 12.1607i | −0.479198 | − | 0.479198i | ||||
\(645\) | −6.44951 | + | 22.3924i | −0.253949 | + | 0.881699i | ||||
\(646\) | −4.00000 | + | 1.65685i | −0.157378 | + | 0.0651881i | ||||
\(647\) | 28.3730i | 1.11546i | 0.830024 | + | 0.557728i | \(0.188327\pi\) | ||||
−0.830024 | + | 0.557728i | \(0.811673\pi\) | |||||||
\(648\) | 19.5943 | + | 16.2501i | 0.769735 | + | 0.638363i | ||||
\(649\) | 6.34315 | 0.248990 | ||||||||
\(650\) | −22.8381 | − | 23.6910i | −0.895783 | − | 0.929239i | ||||
\(651\) | 6.34315 | − | 2.08644i | 0.248607 | − | 0.0817742i | ||||
\(652\) | −8.50894 | − | 8.50894i | −0.333236 | − | 0.333236i | ||||
\(653\) | − | 24.2291i | − | 0.948158i | −0.880482 | − | 0.474079i | \(-0.842781\pi\) | ||
0.880482 | − | 0.474079i | \(-0.157219\pi\) | |||||||
\(654\) | 0.901086 | − | 0.775262i | 0.0352353 | − | 0.0303152i | ||||
\(655\) | 40.2863 | + | 27.4558i | 1.57412 | + | 1.07279i | ||||
\(656\) | −34.3956 | −1.34292 | ||||||||
\(657\) | −11.7206 | − | 15.8887i | −0.457264 | − | 0.619877i | ||||
\(658\) | −4.65369 | − | 11.2350i | −0.181420 | − | 0.437986i | ||||
\(659\) | 14.6792i | 0.571822i | 0.958256 | + | 0.285911i | \(0.0922962\pi\) | ||||
−0.958256 | + | 0.285911i | \(0.907704\pi\) | |||||||
\(660\) | 9.43786 | + | 17.0738i | 0.367368 | + | 0.664598i | ||||
\(661\) | 44.7696i | 1.74133i | 0.491873 | + | 0.870667i | \(0.336312\pi\) | ||||
−0.491873 | + | 0.870667i | \(0.663688\pi\) | |||||||
\(662\) | 24.1522 | − | 10.0042i | 0.938701 | − | 0.388823i | ||||
\(663\) | −9.30739 | − | 28.2960i | −0.361469 | − | 1.09893i | ||||
\(664\) | 10.1421 | − | 24.4853i | 0.393591 | − | 0.950213i | ||||
\(665\) | 3.43289 | − | 5.03712i | 0.133122 | − | 0.195331i | ||||
\(666\) | −4.22248 | + | 7.00384i | −0.163618 | + | 0.271393i | ||||
\(667\) | 15.8887i | 0.615213i | ||||||||
\(668\) | 24.6005 | + | 24.6005i | 0.951823 | + | 0.951823i | ||||
\(669\) | 11.8551 | + | 36.0416i | 0.458346 | + | 1.39345i | ||||
\(670\) | 10.1870 | + | 2.12356i | 0.393558 | + | 0.0820401i | ||||
\(671\) | 21.3707 | 0.825006 | ||||||||
\(672\) | −24.4408 | + | 21.0280i | −0.942824 | + | 0.811172i | ||||
\(673\) | − | 47.6661i | − | 1.83739i | −0.394964 | − | 0.918697i | \(-0.629243\pi\) | ||
0.394964 | − | 0.918697i | \(-0.370757\pi\) | |||||||
\(674\) | −15.1114 | − | 36.4821i | −0.582068 | − | 1.40524i | ||||
\(675\) | −6.25348 | + | 25.2169i | −0.240696 | + | 0.970600i | ||||
\(676\) | 12.2426 | − | 12.2426i | 0.470871 | − | 0.470871i | ||||
\(677\) | − | 1.00547i | − | 0.0386433i | −0.999813 | − | 0.0193217i | \(-0.993849\pi\) | ||
0.999813 | − | 0.0193217i | \(-0.00615066\pi\) | |||||||
\(678\) | −14.2530 | − | 16.5662i | −0.547383 | − | 0.636222i | ||||
\(679\) | − | 8.97056i | − | 0.344259i | ||||||
\(680\) | 12.8064 | + | 19.5517i | 0.491104 | + | 0.749774i | ||||
\(681\) | 2.24264 | + | 6.81801i | 0.0859382 | + | 0.261267i | ||||
\(682\) | −3.85525 | + | 1.59689i | −0.147625 | + | 0.0611483i | ||||
\(683\) | −14.9678 | −0.572726 | −0.286363 | − | 0.958121i | \(-0.592446\pi\) | ||||
−0.286363 | + | 0.958121i | \(0.592446\pi\) | |||||||
\(684\) | −0.741983 | + | 4.91487i | −0.0283704 | + | 0.187925i | ||||
\(685\) | −15.0903 | + | 22.1421i | −0.576569 | + | 0.846008i | ||||
\(686\) | 13.6360 | − | 5.64823i | 0.520626 | − | 0.215650i | ||||
\(687\) | −31.7774 | + | 10.4525i | −1.21238 | + | 0.398788i | ||||
\(688\) | 24.0669 | 0.917542 | ||||||||
\(689\) | 21.3707i | 0.814159i | ||||||||
\(690\) | 1.60347 | + | 14.2226i | 0.0610429 | + | 0.541444i | ||||
\(691\) | −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 | ||||
\(693\) | −14.7595 | − | 20.0083i | −0.560668 | − | 0.760053i | ||||
\(694\) | 0.242641 | − | 0.100505i | 0.00921051 | − | 0.00381512i | ||||
\(695\) | 18.2410 | − | 26.7653i | 0.691922 | − | 1.01527i | ||||
\(696\) | 29.7039 | + | 2.22952i | 1.12592 | + | 0.0845099i | ||||
\(697\) | − | 31.7774i | − | 1.20365i | ||||||
\(698\) | −1.26810 | − | 3.06147i | −0.0479983 | − | 0.115878i | ||||
\(699\) | 8.62742 | + | 26.2288i | 0.326319 | + | 0.992065i | ||||
\(700\) | −30.1658 | − | 13.1479i | −1.14016 | − | 0.496945i | ||||
\(701\) | 26.8399 | 1.01373 | 0.506865 | − | 0.862025i | \(-0.330804\pi\) | ||||
0.506865 | + | 0.862025i | \(0.330804\pi\) | |||||||
\(702\) | −33.3374 | − | 7.62146i | −1.25824 | − | 0.287654i | ||||
\(703\) | −1.59689 | −0.0602280 | ||||||||
\(704\) | 14.2471 | − | 14.2471i | 0.536959 | − | 0.536959i | ||||
\(705\) | −2.80109 | + | 9.72524i | −0.105495 | + | 0.366274i | ||||
\(706\) | −42.2843 | + | 17.5147i | −1.59139 | + | 0.659175i | ||||
\(707\) | 43.4495 | 1.63409 | ||||||||
\(708\) | 3.93268 | − | 7.78793i | 0.147799 | − | 0.292688i | ||||
\(709\) | − | 36.2843i | − | 1.36268i | −0.731965 | − | 0.681342i | \(-0.761397\pi\) | ||
0.731965 | − | 0.681342i | \(-0.238603\pi\) | |||||||
\(710\) | 4.59704 | − | 22.0526i | 0.172524 | − | 0.827621i | ||||
\(711\) | −29.3585 | − | 39.7990i | −1.10103 | − | 1.49258i | ||||
\(712\) | −13.1626 | − | 5.45214i | −0.493290 | − | 0.204328i | ||||
\(713\) | −3.06147 | −0.114653 | ||||||||
\(714\) | −19.4273 | − | 22.5804i | −0.727050 | − | 0.845048i | ||||
\(715\) | −21.6569 | − | 14.7595i | −0.809920 | − | 0.551975i | ||||
\(716\) | −13.6360 | − | 13.6360i | −0.509602 | − | 0.509602i | ||||
\(717\) | −12.0335 | − | 36.5838i | −0.449398 | − | 1.36625i | ||||
\(718\) | 12.0335 | − | 4.98442i | 0.449085 | − | 0.186017i | ||||
\(719\) | −2.95068 | −0.110042 | −0.0550208 | − | 0.998485i | \(-0.517523\pi\) | ||||
−0.0550208 | + | 0.998485i | \(0.517523\pi\) | |||||||
\(720\) | 26.8141 | − | 1.00195i | 0.999303 | − | 0.0373403i | ||||
\(721\) | −19.7990 | −0.737353 | ||||||||
\(722\) | 23.9280 | − | 9.91131i | 0.890508 | − | 0.368861i | ||||
\(723\) | −3.50981 | − | 10.6704i | −0.130531 | − | 0.396837i | ||||
\(724\) | 14.6274 | + | 14.6274i | 0.543624 | + | 0.543624i | ||||
\(725\) | 11.1175 | + | 28.2960i | 0.412892 | + | 1.05089i | ||||
\(726\) | −7.43957 | − | 8.64700i | −0.276108 | − | 0.320920i | ||||
\(727\) | 47.1015 | 1.74690 | 0.873449 | − | 0.486915i | \(-0.161878\pi\) | ||||
0.873449 | + | 0.486915i | \(0.161878\pi\) | |||||||
\(728\) | 16.5754 | − | 40.0166i | 0.614327 | − | 1.48312i | ||||
\(729\) | 8.89949 | + | 25.4912i | 0.329611 | + | 0.944117i | ||||
\(730\) | −20.3740 | − | 4.24711i | −0.754075 | − | 0.157193i | ||||
\(731\) | 22.2349i | 0.822388i | ||||||||
\(732\) | 13.2496 | − | 26.2383i | 0.489719 | − | 0.969795i | ||||
\(733\) | −9.63811 | −0.355992 | −0.177996 | − | 0.984031i | \(-0.556961\pi\) | ||||
−0.177996 | + | 0.984031i | \(0.556961\pi\) | |||||||
\(734\) | 2.82411 | − | 1.16979i | 0.104240 | − | 0.0431776i | ||||
\(735\) | 14.2482 | + | 4.10381i | 0.525553 | + | 0.151371i | ||||
\(736\) | 13.6569 | − | 5.65685i | 0.503398 | − | 0.208514i | ||||
\(737\) | 8.28772 | 0.305282 | ||||||||
\(738\) | −31.2433 | − | 18.8360i | −1.15008 | − | 0.693362i | ||||
\(739\) | −27.1716 | −0.999522 | −0.499761 | − | 0.866163i | \(-0.666579\pi\) | ||||
−0.499761 | + | 0.866163i | \(0.666579\pi\) | |||||||
\(740\) | 1.60423 | + | 8.47001i | 0.0589728 | + | 0.311364i | ||||
\(741\) | −2.08644 | − | 6.34315i | −0.0766474 | − | 0.233021i | ||||
\(742\) | 8.17821 | + | 19.7439i | 0.300232 | + | 0.724823i | ||||
\(743\) | 15.2304i | 0.558750i | 0.960182 | + | 0.279375i | \(0.0901272\pi\) | ||||
−0.960182 | + | 0.279375i | \(0.909873\pi\) | |||||||
\(744\) | −0.429589 | + | 5.72341i | −0.0157495 | + | 0.209830i | ||||
\(745\) | 18.4853 | − | 27.1237i | 0.677248 | − | 0.993736i | ||||
\(746\) | −31.8771 | + | 13.2039i | −1.16710 | + | 0.483429i | ||||
\(747\) | 22.6215 | − | 16.6871i | 0.827676 | − | 0.610551i | ||||
\(748\) | 13.1626 | + | 13.1626i | 0.481273 | + | 0.481273i | ||||
\(749\) | 27.8832 | 1.01883 | ||||||||
\(750\) | 12.8073 | + | 24.2069i | 0.467655 | + | 0.883911i | ||||
\(751\) | 35.1127i | 1.28128i | 0.767841 | + | 0.640640i | \(0.221331\pi\) | ||||
−0.767841 | + | 0.640640i | \(0.778669\pi\) | |||||||
\(752\) | 10.4525 | 0.381164 | ||||||||
\(753\) | 19.2974 | − | 6.34746i | 0.703235 | − | 0.231314i | ||||
\(754\) | −36.9706 | + | 15.3137i | −1.34639 | + | 0.557692i | ||||
\(755\) | 5.22625 | + | 3.56178i | 0.190203 | + | 0.129627i | ||||
\(756\) | −33.7164 | + | 5.71637i | −1.22625 | + | 0.207902i | ||||
\(757\) | −12.8319 | −0.466383 | −0.233192 | − | 0.972431i | \(-0.574917\pi\) | ||||
−0.233192 | + | 0.972431i | \(0.574917\pi\) | |||||||
\(758\) | −27.2137 | + | 11.2723i | −0.988444 | + | 0.409427i | ||||
\(759\) | 3.56178 | + | 10.8284i | 0.129284 | + | 0.393047i | ||||
\(760\) | 2.87082 | + | 4.38292i | 0.104136 | + | 0.158985i | ||||
\(761\) | − | 17.1978i | − | 0.623420i | −0.950177 | − | 0.311710i | \(-0.899098\pi\) | ||
0.950177 | − | 0.311710i | \(-0.100902\pi\) | |||||||
\(762\) | 5.25700 | + | 6.11020i | 0.190441 | + | 0.221349i | ||||
\(763\) | 1.59689i | 0.0578115i | ||||||||
\(764\) | −7.12356 | + | 7.12356i | −0.257722 | + | 0.257722i | ||||
\(765\) | 0.925677 | + | 24.7730i | 0.0334679 | + | 0.895670i | ||||
\(766\) | 15.7574 | + | 38.0416i | 0.569337 | + | 1.37450i | ||||
\(767\) | 11.7206i | 0.423207i | ||||||||
\(768\) | −8.65914 | − | 26.3253i | −0.312460 | − | 0.949931i | ||||
\(769\) | −49.5980 | −1.78855 | −0.894274 | − | 0.447519i | \(-0.852308\pi\) | ||||
−0.894274 | + | 0.447519i | \(0.852308\pi\) | |||||||
\(770\) | −25.6566 | − | 5.34830i | −0.924598 | − | 0.192739i | ||||
\(771\) | −8.82843 | − | 26.8399i | −0.317948 | − | 0.966616i | ||||
\(772\) | −27.9222 | − | 27.9222i | −1.00494 | − | 1.00494i | ||||
\(773\) | − | 18.8490i | − | 0.677952i | −0.940795 | − | 0.338976i | \(-0.889919\pi\) | ||
0.940795 | − | 0.338976i | \(-0.110081\pi\) | |||||||
\(774\) | 21.8612 | + | 13.1797i | 0.785786 | + | 0.473735i | ||||
\(775\) | −5.45214 | + | 2.14214i | −0.195847 | + | 0.0769478i | ||||
\(776\) | 7.12356 | + | 2.95068i | 0.255721 | + | 0.105923i | ||||
\(777\) | −3.43289 | − | 10.4366i | −0.123154 | − | 0.374410i | ||||
\(778\) | 9.87197 | − | 4.08910i | 0.353927 | − | 0.146602i | ||||
\(779\) | − | 7.12356i | − | 0.255228i | ||||||
\(780\) | −31.5483 | + | 17.4389i | −1.12961 | + | 0.624413i | ||||
\(781\) | − | 17.9411i | − | 0.641984i | ||||||
\(782\) | 5.22625 | + | 12.6173i | 0.186890 | + | 0.451193i | ||||
\(783\) | 25.7607 | + | 18.2919i | 0.920611 | + | 0.653699i | ||||
\(784\) | − | 15.3137i | − | 0.546918i | ||||||
\(785\) | 7.28225 | − | 10.6853i | 0.259915 | − | 0.381376i | ||||
\(786\) | 40.4842 | − | 34.8311i | 1.44402 | − | 1.24239i | ||||
\(787\) | 48.2307i | 1.71924i | 0.510935 | + | 0.859619i | \(0.329299\pi\) | ||||
−0.510935 | + | 0.859619i | \(0.670701\pi\) | |||||||
\(788\) | −16.9469 | − | 16.9469i | −0.603707 | − | 0.603707i | ||||
\(789\) | −36.6086 | + | 12.0416i | −1.30330 | + | 0.428693i | ||||
\(790\) | −51.0340 | − | 10.6384i | −1.81571 | − | 0.378498i | ||||
\(791\) | 29.3585 | 1.04387 | ||||||||
\(792\) | 20.7435 | − | 5.13929i | 0.737089 | − | 0.182617i | ||||
\(793\) | 39.4879i | 1.40226i | ||||||||
\(794\) | −35.4388 | + | 14.6792i | −1.25768 | + | 0.520947i | ||||
\(795\) | 4.92252 | − | 17.0907i | 0.174584 | − | 0.606146i | ||||
\(796\) | −12.9706 | − | 12.9706i | −0.459729 | − | 0.459729i | ||||
\(797\) | − | 8.92177i | − | 0.316025i | −0.987437 | − | 0.158013i | \(-0.949491\pi\) | ||
0.987437 | − | 0.158013i | \(-0.0505087\pi\) | |||||||
\(798\) | −4.35504 | − | 5.06186i | −0.154167 | − | 0.179188i | ||||
\(799\) | 9.65685i | 0.341635i | ||||||||
\(800\) | 20.3632 | − | 19.6301i | 0.719949 | − | 0.694027i | ||||
\(801\) | −8.97056 | − | 12.1607i | −0.316959 | − | 0.429677i | ||||
\(802\) | −8.17821 | − | 19.7439i | −0.288783 | − | 0.697183i | ||||
\(803\) | −16.5754 | −0.584935 | ||||||||
\(804\) | 5.13829 | − | 10.1754i | 0.181214 | − | 0.358859i | ||||
\(805\) | −15.8887 | − | 10.8284i | −0.560003 | − | 0.381652i | ||||
\(806\) | −2.95068 | − | 7.12356i | −0.103933 | − | 0.250917i | ||||
\(807\) | −5.21828 | − | 15.8645i | −0.183692 | − | 0.558456i | ||||
\(808\) | −14.2918 | + | 34.5035i | −0.502784 | + | 1.21383i | ||||
\(809\) | 4.17289i | 0.146711i | 0.997306 | + | 0.0733555i | \(0.0233708\pi\) | ||||
−0.997306 | + | 0.0733555i | \(0.976629\pi\) | |||||||
\(810\) | 24.9053 | + | 13.7740i | 0.875085 | + | 0.483970i | ||||
\(811\) | −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 | ||||
\(813\) | 23.2685 | − | 7.65367i | 0.816061 | − | 0.268426i | ||||
\(814\) | 2.62742 | + | 6.34315i | 0.0920909 | + | 0.222327i | ||||
\(815\) | −11.1175 | − | 7.57675i | −0.389428 | − | 0.265402i | ||||
\(816\) | 24.3214 | − | 8.00000i | 0.851418 | − | 0.280056i | ||||
\(817\) | 4.98442i | 0.174383i | ||||||||
\(818\) | 16.7611 | − | 6.94269i | 0.586040 | − | 0.242746i | ||||
\(819\) | 36.9706 | − | 27.2720i | 1.29186 | − | 0.952962i | ||||
\(820\) | −37.7837 | + | 7.15631i | −1.31946 | + | 0.249909i | ||||
\(821\) | −23.8893 | −0.833741 | −0.416870 | − | 0.908966i | \(-0.636873\pi\) | ||||
−0.416870 | + | 0.908966i | \(0.636873\pi\) | |||||||
\(822\) | 19.1438 | + | 22.2509i | 0.667718 | + | 0.776088i | ||||
\(823\) | 23.5023 | 0.819239 | 0.409620 | − | 0.912256i | \(-0.365661\pi\) | ||||
0.409620 | + | 0.912256i | \(0.365661\pi\) | |||||||
\(824\) | 6.51246 | − | 15.7225i | 0.226872 | − | 0.547718i | ||||
\(825\) | 13.9199 | + | 16.7920i | 0.484628 | + | 0.584624i | ||||
\(826\) | 4.48528 | + | 10.8284i | 0.156063 | + | 0.376769i | ||||
\(827\) | −35.5014 | −1.23450 | −0.617252 | − | 0.786766i | \(-0.711754\pi\) | ||||
−0.617252 | + | 0.786766i | \(0.711754\pi\) | |||||||
\(828\) | 15.5031 | + | 2.34045i | 0.538769 | + | 0.0813364i | ||||
\(829\) | − | 5.17157i | − | 0.179616i | −0.995959 | − | 0.0898081i | \(-0.971375\pi\) | ||
0.995959 | − | 0.0898081i | \(-0.0286254\pi\) | |||||||
\(830\) | 6.04680 | − | 29.0073i | 0.209888 | − | 1.00686i | ||||
\(831\) | −8.16679 | − | 24.8284i | −0.283303 | − | 0.861289i | ||||
\(832\) | 26.3253 | + | 26.3253i | 0.912664 | + | 0.912664i | ||||
\(833\) | 14.1480 | 0.490200 | ||||||||
\(834\) | −23.1410 | − | 26.8967i | −0.801307 | − | 0.931358i | ||||
\(835\) | 32.1421 | + | 21.9054i | 1.11232 | + | 0.758069i | ||||
\(836\) | 2.95068 | + | 2.95068i | 0.102051 | + | 0.102051i | ||||
\(837\) | −3.52452 | + | 4.96362i | −0.121825 | + | 0.171568i | ||||
\(838\) | −1.36303 | − | 3.29066i | −0.0470853 | − | 0.113674i | ||||
\(839\) | −53.6799 | −1.85323 | −0.926617 | − | 0.376006i | \(-0.877297\pi\) | ||||
−0.926617 | + | 0.376006i | \(0.877297\pi\) | |||||||
\(840\) | −22.4733 | + | 28.1845i | −0.775401 | + | 0.972456i | ||||
\(841\) | 7.97056 | 0.274847 | ||||||||
\(842\) | 18.8490 | + | 45.5055i | 0.649580 | + | 1.56822i | ||||
\(843\) | −5.86030 | + | 1.92762i | −0.201840 | + | 0.0663908i | ||||
\(844\) | 26.1421 | − | 26.1421i | 0.899849 | − | 0.899849i | ||||
\(845\) | 10.9014 | − | 15.9958i | 0.375020 | − | 0.550272i | ||||
\(846\) | 9.49456 | + | 5.72408i | 0.326430 | + | 0.196798i | ||||
\(847\) | 15.3241 | 0.526543 | ||||||||
\(848\) | −18.3688 | −0.630787 | ||||||||
\(849\) | 29.6985 | − | 9.76869i | 1.01925 | − | 0.335261i | ||||
\(850\) | 18.1358 | + | 18.8132i | 0.622053 | + | 0.645286i | ||||
\(851\) | 5.03712i | 0.172670i | ||||||||
\(852\) | −22.0276 | − | 11.1233i | −0.754652 | − | 0.381078i | ||||
\(853\) | −36.4311 | −1.24738 | −0.623688 | − | 0.781673i | \(-0.714367\pi\) | ||||
−0.623688 | + | 0.781673i | \(0.714367\pi\) | |||||||
\(854\) | 15.1114 | + | 36.4821i | 0.517100 | + | 1.24839i | ||||
\(855\) | 0.207510 | + | 5.55338i | 0.00709668 | + | 0.189922i | ||||
\(856\) | −9.17157 | + | 22.1421i | −0.313478 | + | 0.756803i | ||||
\(857\) | −28.5587 | −0.975546 | −0.487773 | − | 0.872971i | \(-0.662191\pi\) | ||||
−0.487773 | + | 0.872971i | \(0.662191\pi\) | |||||||
\(858\) | −21.7632 | + | 18.7243i | −0.742983 | + | 0.639236i | ||||
\(859\) | 3.85786 | 0.131629 | 0.0658143 | − | 0.997832i | \(-0.479035\pi\) | ||||
0.0658143 | + | 0.997832i | \(0.479035\pi\) | |||||||
\(860\) | 26.4376 | − | 5.00733i | 0.901515 | − | 0.170749i | ||||
\(861\) | 46.5563 | − | 15.3137i | 1.58663 | − | 0.521890i | ||||
\(862\) | 35.6326 | − | 14.7595i | 1.21365 | − | 0.502711i | ||||
\(863\) | − | 20.0852i | − | 0.683710i | −0.939753 | − | 0.341855i | \(-0.888945\pi\) | ||
0.939753 | − | 0.341855i | \(-0.111055\pi\) | |||||||
\(864\) | 6.55089 | − | 28.6546i | 0.222866 | − | 0.974849i | ||||
\(865\) | 39.7990 | + | 27.1237i | 1.35321 | + | 0.922234i | ||||
\(866\) | 12.7718 | + | 30.8338i | 0.434003 | + | 1.04778i | ||||
\(867\) | −1.80930 | − | 5.50057i | −0.0614470 | − | 0.186809i | ||||
\(868\) | −5.45214 | − | 5.45214i | −0.185058 | − | 0.185058i | ||||
\(869\) | −41.5192 | −1.40844 | ||||||||
\(870\) | 33.0938 | − | 3.73102i | 1.12198 | − | 0.126493i | ||||
\(871\) | 15.3137i | 0.518885i | ||||||||
\(872\) | −1.26810 | − | 0.525265i | −0.0429433 | − | 0.0177877i | ||||
\(873\) | 4.85483 | + | 6.58132i | 0.164311 | + | 0.222744i | ||||
\(874\) | 1.17157 | + | 2.82843i | 0.0396290 | + | 0.0956730i | ||||
\(875\) | −35.8728 | − | 8.16679i | −1.21272 | − | 0.276088i | ||||
\(876\) | −10.2766 | + | 20.3508i | −0.347214 | + | 0.687591i | ||||
\(877\) | 35.3019 | 1.19206 | 0.596031 | − | 0.802962i | \(-0.296744\pi\) | ||||
0.596031 | + | 0.802962i | \(0.296744\pi\) | |||||||
\(878\) | −15.4161 | − | 37.2178i | −0.520269 | − | 1.25604i | ||||
\(879\) | 3.99390 | − | 1.31371i | 0.134711 | − | 0.0443103i | ||||
\(880\) | 12.6863 | − | 18.6148i | 0.427655 | − | 0.627504i | ||||
\(881\) | − | 42.9945i | − | 1.44852i | −0.689526 | − | 0.724261i | \(-0.742181\pi\) | ||
0.689526 | − | 0.724261i | \(-0.257819\pi\) | |||||||
\(882\) | 8.38621 | − | 13.9102i | 0.282378 | − | 0.468382i | ||||
\(883\) | − | 37.7941i | − | 1.27187i | −0.771741 | − | 0.635937i | \(-0.780614\pi\) | ||
0.771741 | − | 0.635937i | \(-0.219386\pi\) | |||||||
\(884\) | −24.3214 | + | 24.3214i | −0.818016 | + | 0.818016i | ||||
\(885\) | 2.69972 | − | 9.37330i | 0.0907501 | − | 0.315080i | ||||
\(886\) | 2.10051 | − | 0.870058i | 0.0705678 | − | 0.0292302i | ||||
\(887\) | 12.5404i | 0.421064i | 0.977587 | + | 0.210532i | \(0.0675197\pi\) | ||||
−0.977587 | + | 0.210532i | \(0.932480\pi\) | |||||||
\(888\) | 9.41689 | + | 0.706816i | 0.316010 | + | 0.0237192i | ||||
\(889\) | −10.8284 | −0.363174 | ||||||||
\(890\) | −15.5936 | − | 3.25060i | −0.522698 | − | 0.108960i | ||||
\(891\) | 21.6569 | + | 6.69145i | 0.725532 | + | 0.224172i | ||||
\(892\) | 30.9790 | − | 30.9790i | 1.03725 | − | 1.03725i | ||||
\(893\) | 2.16478i | 0.0724417i | ||||||||
\(894\) | −23.4509 | − | 27.2569i | −0.784314 | − | 0.911607i | ||||
\(895\) | −17.8163 | − | 12.1421i | −0.595534 | − | 0.405867i | ||||
\(896\) | 34.3956 | + | 14.2471i | 1.14908 | + | 0.475963i | ||||
\(897\) | −20.0083 | + | 6.58132i | −0.668059 | + | 0.219744i | ||||
\(898\) | 18.9455 | + | 45.7385i | 0.632219 | + | 1.52631i | ||||
\(899\) | 7.12356i | 0.237584i | ||||||||
\(900\) | 29.2469 | − | 6.67955i | 0.974898 | − | 0.222652i | ||||
\(901\) | − | 16.9706i | − | 0.565371i | ||||||
\(902\) | −28.2960 | + | 11.7206i | −0.942155 | + | 0.390253i | ||||
\(903\) | −32.5758 | + | 10.7151i | −1.08406 | + | 0.356577i | ||||
\(904\) | −9.65685 | + | 23.3137i | −0.321182 | + | 0.775402i | ||||
\(905\) | 19.1116 | + | 13.0249i | 0.635292 | + | 0.432963i | ||||
\(906\) | 5.25192 | − | 4.51856i | 0.174483 | − | 0.150119i | ||||
\(907\) | 7.61362i | 0.252806i | 0.991979 | + | 0.126403i | \(0.0403433\pi\) | ||||
−0.991979 | + | 0.126403i | \(0.959657\pi\) | |||||||
\(908\) | 5.86030 | − | 5.86030i | 0.194481 | − | 0.194481i | ||||
\(909\) | −31.8771 | + | 23.5147i | −1.05730 | + | 0.779934i | ||||
\(910\) | 9.88238 | − | 47.4071i | 0.327598 | − | 1.57153i | ||||
\(911\) | 2.95068 | 0.0977603 | 0.0488801 | − | 0.998805i | \(-0.484435\pi\) | ||||
0.0488801 | + | 0.998805i | \(0.484435\pi\) | |||||||
\(912\) | 5.45214 | − | 1.79337i | 0.180538 | − | 0.0593843i | ||||
\(913\) | − | 23.5992i | − | 0.781019i | ||||||
\(914\) | 10.0742 | + | 24.3214i | 0.333226 | + | 0.804479i | ||||
\(915\) | 9.09563 | − | 31.5796i | 0.300692 | − | 1.04399i | ||||
\(916\) | 27.3137 | + | 27.3137i | 0.902470 | + | 0.902470i | ||||
\(917\) | 71.7456i | 2.36925i | ||||||||
\(918\) | 26.4734 | + | 6.05224i | 0.873752 | + | 0.199754i | ||||
\(919\) | − | 6.14214i | − | 0.202610i | −0.994855 | − | 0.101305i | \(-0.967698\pi\) | ||
0.994855 | − | 0.101305i | \(-0.0323019\pi\) | |||||||
\(920\) | 13.8252 | − | 9.05551i | 0.455802 | − | 0.298551i | ||||
\(921\) | −11.7574 | + | 3.86733i | −0.387418 | + | 0.127433i | ||||
\(922\) | −5.21828 | + | 2.16148i | −0.171855 | + | 0.0711846i | ||||
\(923\) | 33.1509 | 1.09117 | ||||||||
\(924\) | −12.9411 | + | 25.6274i | −0.425731 | + | 0.843079i | ||||
\(925\) | 3.52452 | + | 8.97056i | 0.115885 | + | 0.294950i | ||||
\(926\) | 33.6579 | − | 13.9416i | 1.10607 | − | 0.458149i | ||||
\(927\) | 14.5257 | − | 10.7151i | 0.477085 | − | 0.351931i | ||||
\(928\) | −13.1626 | − | 31.7774i | −0.432085 | − | 1.04314i | ||||
\(929\) | 26.6609i | 0.874717i | 0.899287 | + | 0.437359i | \(0.144086\pi\) | ||||
−0.899287 | + | 0.437359i | \(0.855914\pi\) | |||||||
\(930\) | 0.718900 | + | 6.37657i | 0.0235737 | + | 0.209096i | ||||
\(931\) | 3.17157 | 0.103944 | ||||||||
\(932\) | 22.5445 | − | 22.5445i | 0.738471 | − | 0.738471i | ||||
\(933\) | 18.6148 | + | 56.5921i | 0.609420 | + | 1.85274i | ||||
\(934\) | 20.7279 | − | 8.58579i | 0.678238 | − | 0.280936i | ||||
\(935\) | 17.1978 | + | 11.7206i | 0.562428 | + | 0.383305i | ||||
\(936\) | 9.49617 | + | 38.3291i | 0.310392 | + | 1.25282i | ||||
\(937\) | 8.17821i | 0.267170i | 0.991037 | + | 0.133585i | \(0.0426490\pi\) | ||||
−0.991037 | + | 0.133585i | \(0.957351\pi\) | |||||||
\(938\) | 5.86030 | + | 14.1480i | 0.191346 | + | 0.461949i | ||||
\(939\) | −28.0000 | + | 9.21001i | −0.913745 | + | 0.300557i | ||||
\(940\) | 11.4821 | − | 2.17473i | 0.374505 | − | 0.0709320i | ||||
\(941\) | 23.2781 | 0.758846 | 0.379423 | − | 0.925223i | \(-0.376123\pi\) | ||||
0.379423 | + | 0.925223i | \(0.376123\pi\) | |||||||
\(942\) | −9.23843 | − | 10.7378i | −0.301004 | − | 0.349857i | ||||
\(943\) | −22.4700 | −0.731724 | ||||||||
\(944\) | −10.0742 | −0.327889 | ||||||||
\(945\) | −35.8482 | + | 13.2944i | −1.16614 | + | 0.432468i | ||||
\(946\) | 19.7990 | − | 8.20101i | 0.643721 | − | 0.266638i | ||||
\(947\) | 21.6160 | 0.702425 | 0.351213 | − | 0.936296i | \(-0.385769\pi\) | ||||
0.351213 | + | 0.936296i | \(0.385769\pi\) | |||||||
\(948\) | −25.7414 | + | 50.9760i | −0.836043 | + | 1.65562i | ||||
\(949\) | − | 30.6274i | − | 0.994208i | ||||||
\(950\) | 4.06552 | + | 4.21736i | 0.131903 | + | 0.136829i | ||||
\(951\) | 21.8028 | − | 7.17157i | 0.707005 | − | 0.232554i | ||||
\(952\) | −13.1626 | + | 31.7774i | −0.426603 | + | 1.02991i | ||||
\(953\) | −44.0836 | −1.42801 | −0.714004 | − | 0.700142i | \(-0.753120\pi\) | ||||
−0.714004 | + | 0.700142i | \(0.753120\pi\) | |||||||
\(954\) | −16.6853 | − | 10.0593i | −0.540208 | − | 0.325681i | ||||
\(955\) | −6.34315 | + | 9.30739i | −0.205259 | + | 0.301180i | ||||
\(956\) | −31.4449 | + | 31.4449i | −1.01700 | + | 1.01700i | ||||
\(957\) | 25.1961 | − | 8.28772i | 0.814474 | − | 0.267904i | ||||
\(958\) | −25.1961 | + | 10.4366i | −0.814049 | + | 0.337190i | ||||
\(959\) | −39.4327 | −1.27335 | ||||||||
\(960\) | −14.9893 | − | 27.1168i | −0.483778 | − | 0.875191i | ||||
\(961\) | 29.6274 | 0.955723 | ||||||||
\(962\) | −11.7206 | + | 4.85483i | −0.377887 | + | 0.156526i | ||||
\(963\) | −20.4567 | + | 15.0903i | −0.659207 | + | 0.486277i | ||||
\(964\) | −9.17157 | + | 9.17157i | −0.295396 | + | 0.295396i | ||||
\(965\) | −36.4821 | − | 24.8632i | −1.17440 | − | 0.800373i | ||||
\(966\) | −15.9667 | + | 13.7372i | −0.513721 | + | 0.441987i | ||||
\(967\) | −55.2797 | −1.77768 | −0.888838 | − | 0.458222i | \(-0.848487\pi\) | ||||
−0.888838 | + | 0.458222i | \(0.848487\pi\) | |||||||
\(968\) | −5.04054 | + | 12.1689i | −0.162009 | + | 0.391125i | ||||
\(969\) | 1.65685 | + | 5.03712i | 0.0532258 | + | 0.161816i | ||||
\(970\) | 8.43918 | + | 1.75921i | 0.270966 | + | 0.0564849i | ||||
\(971\) | 13.8150i | 0.443345i | 0.975121 | + | 0.221672i | \(0.0711516\pi\) | ||||
−0.975121 | + | 0.221672i | \(0.928848\pi\) | |||||||
\(972\) | 21.6426 | − | 22.4410i | 0.694186 | − | 0.719796i | ||||
\(973\) | 47.6661 | 1.52811 | ||||||||
\(974\) | 11.4230 | − | 4.73157i | 0.366017 | − | 0.151609i | ||||
\(975\) | −31.0276 | + | 25.7206i | −0.993680 | + | 0.823719i | ||||
\(976\) | −33.9411 | −1.08643 | ||||||||
\(977\) | 33.2597 | 1.06407 | 0.532035 | − | 0.846722i | \(-0.321427\pi\) | ||||
0.532035 | + | 0.846722i | \(0.321427\pi\) | |||||||
\(978\) | −11.1721 | + | 9.61204i | −0.357243 | + | 0.307359i | ||||
\(979\) | −12.6863 | −0.405456 | ||||||||
\(980\) | −3.18615 | − | 16.8222i | −0.101778 | − | 0.537365i | ||||
\(981\) | −0.864233 | − | 1.17157i | −0.0275928 | − | 0.0374054i | ||||
\(982\) | 19.9778 | + | 48.2307i | 0.637517 | + | 1.53910i | ||||
\(983\) | − | 10.0042i | − | 0.319083i | −0.987191 | − | 0.159542i | \(-0.948998\pi\) | ||
0.987191 | − | 0.159542i | \(-0.0510016\pi\) | |||||||
\(984\) | −3.15302 | + | 42.0077i | −0.100515 | + | 1.33916i | ||||
\(985\) | −22.1421 | − | 15.0903i | −0.705507 | − | 0.480815i | ||||
\(986\) | 29.3585 | − | 12.1607i | 0.934965 | − | 0.387275i | ||||
\(987\) | −14.1480 | + | 4.65369i | −0.450336 | + | 0.148129i | ||||
\(988\) | −5.45214 | + | 5.45214i | −0.173456 | + | 0.173456i | ||||
\(989\) | 15.7225 | 0.499945 | ||||||||
\(990\) | 21.7176 | − | 9.96140i | 0.690230 | − | 0.316594i | ||||
\(991\) | − | 19.7990i | − | 0.628936i | −0.949268 | − | 0.314468i | \(-0.898174\pi\) | ||
0.949268 | − | 0.314468i | \(-0.101826\pi\) | |||||||
\(992\) | 6.12293 | − | 2.53620i | 0.194403 | − | 0.0805245i | ||||
\(993\) | −10.0042 | − | 30.4144i | −0.317472 | − | 0.965171i | ||||
\(994\) | 30.6274 | − | 12.6863i | 0.971443 | − | 0.402385i | ||||
\(995\) | −16.9469 | − | 11.5496i | −0.537251 | − | 0.366146i | ||||
\(996\) | −28.9744 | − | 14.6312i | −0.918088 | − | 0.463608i | ||||
\(997\) | 8.50894 | 0.269481 | 0.134740 | − | 0.990881i | \(-0.456980\pi\) | ||||
0.134740 | + | 0.990881i | \(0.456980\pi\) | |||||||
\(998\) | 48.4901 | − | 20.0852i | 1.53493 | − | 0.635787i | ||||
\(999\) | 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 \(a_p\))