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 | 59.13 | ||
Root | \(-0.357857i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 120.59 |
Dual form | 120.2.m.b.59.16 |
$q$-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 | \(-0.713629\pi\) | ||||
−0.621876 | + | 0.783116i | \(0.713629\pi\) | |||||||
\(8\) | 1.08239 | − | 2.61313i | 0.382683 | − | 0.923880i | ||||
\(9\) | −2.41421 | + | 1.78089i | −0.804738 | + | 0.593630i | ||||
\(10\) | 2.64533 | + | 1.73270i | 0.836526 | + | 0.547927i | ||||
\(11\) | 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 | \(-0.276711\pi\) | ||||
0.645351 | + | 0.763886i | \(0.276711\pi\) | |||||||
\(14\) | −4.29945 | + | 1.78089i | −1.14908 | + | 0.475963i | ||||
\(15\) | 2.35865 | − | 3.07193i | 0.609002 | − | 0.793169i | ||||
\(16\) | − | 4.00000i | − | 1.00000i | ||||||
\(17\) | −3.69552 | −0.896295 | −0.448147 | − | 0.893960i | \(-0.647916\pi\) | ||||
−0.448147 | + | 0.893960i | \(0.647916\pi\) | |||||||
\(18\) | −2.19051 | + | 3.63341i | −0.516308 | + | 0.856403i | ||||
\(19\) | 0.828427 | 0.190054 | 0.0950271 | − | 0.995475i | \(-0.469706\pi\) | ||||
0.0950271 | + | 0.995475i | \(0.469706\pi\) | |||||||
\(20\) | 4.39402 | + | 0.832235i | 0.982532 | + | 0.186093i | ||||
\(21\) | 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 | \(0.0878297\pi\) | ||||
−0.962174 | + | 0.272437i | \(0.912170\pi\) | |||||||
\(24\) | −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 | \(0.690949\pi\) | |||||||
\(30\) | 1.41921 | − | 5.29016i | 0.259112 | − | 0.965847i | ||||
\(31\) | − | 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 | \(-0.449350\pi\) | ||||
0.158450 | + | 0.987367i | \(0.449350\pi\) | |||||||
\(38\) | 1.08239 | − | 0.448342i | 0.175587 | − | 0.0727306i | ||||
\(39\) | −2.51856 | − | 7.65685i | −0.403292 | − | 1.22608i | ||||
\(40\) | 6.19146 | − | 1.29066i | 0.978956 | − | 0.204071i | ||||
\(41\) | − | 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 | \(-0.848290\pi\) | ||
0.888554 | − | 0.458771i | \(-0.151710\pi\) | |||||||
\(44\) | 3.56178 | + | 3.56178i | 0.536959 | + | 0.536959i | ||||
\(45\) | −6.33083 | − | 2.21824i | −0.943744 | − | 0.330676i | ||||
\(46\) | 1.41421 | + | 3.41421i | 0.208514 | + | 0.503398i | ||||
\(47\) | − | 2.61313i | − | 0.381164i | −0.981671 | − | 0.190582i | \(-0.938963\pi\) | ||
0.981671 | − | 0.190582i | \(-0.0610374\pi\) | |||||||
\(48\) | −6.58132 | + | 2.16478i | −0.949931 | + | 0.312460i | ||||
\(49\) | 3.82843 | 0.546918 | ||||||||
\(50\) | 0.129605 | + | 7.06988i | 0.0183289 | + | 0.999832i | ||||
\(51\) | 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 | \(0.102137\pi\) | ||||
−0.948961 | + | 0.315394i | \(0.897863\pi\) | |||||||
\(54\) | 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 | \(-0.0524217\pi\) | |||||||
\(60\) | −1.00872 | − | 7.68000i | −0.130226 | − | 0.991484i | ||||
\(61\) | − | 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 | \(0.0644220\pi\) | ||||
−0.979589 | + | 0.201009i | \(0.935578\pi\) | |||||||
\(68\) | −5.22625 | + | 5.22625i | −0.633776 | + | 0.633776i | ||||
\(69\) | 4.29945 | − | 1.41421i | 0.517593 | − | 0.170251i | ||||
\(70\) | −8.70487 | − | 5.70171i | −1.04043 | − | 0.681485i | ||||
\(71\) | −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 | \(-0.874152\pi\) | ||
0.922857 | − | 0.385142i | \(-0.125848\pi\) | |||||||
\(74\) | 2.51856 | − | 1.04322i | 0.292777 | − | 0.121272i | ||||
\(75\) | 8.64639 | + | 0.489804i | 0.998399 | + | 0.0565576i | ||||
\(76\) | 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 | \(-0.328070\pi\) | ||||
0.514252 | + | 0.857639i | \(0.328070\pi\) | |||||||
\(84\) | 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 | \(0.913979\pi\) | |||||||
\(90\) | −9.47213 | + | 0.527944i | −0.998450 | + | 0.0556502i | ||||
\(91\) | −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 | \(0.0441944\pi\) | ||||
−0.990377 | + | 0.138395i | \(0.955806\pi\) | |||||||
\(98\) | 5.00208 | − | 2.07193i | 0.505286 | − | 0.209297i | ||||
\(99\) | −4.48528 | − | 6.08034i | −0.450788 | − | 0.611097i | ||||
\(100\) | 3.99553 | + | 9.16710i | 0.399553 | + | 0.916710i | ||||
\(101\) | 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 | \(-0.404206\pi\) | ||||
0.296423 | + | 0.955057i | \(0.404206\pi\) | |||||||
\(104\) | 5.03712 | − | 12.1607i | 0.493930 | − | 1.19245i | ||||
\(105\) | −7.76152 | + | 10.1087i | −0.757447 | + | 0.986505i | ||||
\(106\) | 2.48528 | + | 6.00000i | 0.241392 | + | 0.582772i | ||||
\(107\) | −8.47343 | −0.819157 | −0.409579 | − | 0.912275i | \(-0.634324\pi\) | ||||
−0.409579 | + | 0.912275i | \(0.634324\pi\) | |||||||
\(108\) | 10.2461 | − | 1.73715i | 0.985930 | − | 0.167157i | ||||
\(109\) | 0.485281i | 0.0464815i | 0.999730 | + | 0.0232408i | \(0.00739843\pi\) | ||||
−0.999730 | + | 0.0232408i | \(0.992602\pi\) | |||||||
\(110\) | −4.36390 | + | 6.66242i | −0.416081 | + | 0.635237i | ||||
\(111\) | −1.04322 | − | 3.17157i | −0.0990182 | − | 0.301032i | ||||
\(112\) | 13.1626i | 1.24375i | ||||||||
\(113\) | −8.92177 | −0.839290 | −0.419645 | − | 0.907688i | \(-0.637845\pi\) | ||||
−0.419645 | + | 0.907688i | \(0.637845\pi\) | |||||||
\(114\) | −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 | ||||||||
\(120\) | −5.47435 | − | 9.48849i | −0.499738 | − | 0.866177i | ||||
\(121\) | 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 | \(-0.453360\pi\) | ||||
0.145999 | + | 0.989285i | \(0.453360\pi\) | |||||||
\(128\) | −10.4525 | − | 4.32957i | −0.923880 | − | 0.382683i | ||||
\(129\) | −9.89949 | + | 3.25623i | −0.871602 | + | 0.286695i | ||||
\(130\) | 12.3105 | + | 8.06343i | 1.07971 | + | 0.707210i | ||||
\(131\) | 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 | ||||
\(135\) | −0.223521 | + | 11.6168i | −0.0192377 | + | 0.999815i | ||||
\(136\) | −4.00000 | + | 9.65685i | −0.342997 | + | 0.828068i | ||||
\(137\) | 11.9832 | 1.02380 | 0.511899 | − | 0.859046i | \(-0.328942\pi\) | ||||
0.511899 | + | 0.859046i | \(0.328942\pi\) | |||||||
\(138\) | 4.85214 | − | 4.17461i | 0.413041 | − | 0.355366i | ||||
\(139\) | 14.4853 | 1.22863 | 0.614313 | − | 0.789063i | \(-0.289433\pi\) | ||||
0.614313 | + | 0.789063i | \(0.289433\pi\) | |||||||
\(140\) | −14.4592 | − | 2.73860i | −1.22203 | − | 0.231454i | ||||
\(141\) | −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 | \(0.294656\pi\) | |||||||
\(150\) | 11.5621 | − | 4.03943i | 0.944044 | − | 0.329818i | ||||
\(151\) | 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 | \(-0.574122\pi\) | ||||
−0.230762 | + | 0.973010i | \(0.574122\pi\) | |||||||
\(158\) | 8.92177 | + | 21.5391i | 0.709778 | + | 1.71356i | ||||
\(159\) | 7.55568 | − | 2.48528i | 0.599204 | − | 0.197096i | ||||
\(160\) | 6.93078 | − | 10.5813i | 0.547927 | − | 0.836526i | ||||
\(161\) | − | 8.59890i | − | 0.677688i | ||||||
\(162\) | −1.18235 | − | 12.6729i | −0.0928938 | − | 0.995676i | ||||
\(163\) | 6.01673i | 0.471266i | 0.971842 | + | 0.235633i | \(0.0757164\pi\) | ||||
−0.971842 | + | 0.235633i | \(0.924284\pi\) | |||||||
\(164\) | −12.1607 | − | 12.1607i | −0.949590 | − | 0.949590i | ||||
\(165\) | 7.73684 | + | 5.94041i | 0.602312 | + | 0.462460i | ||||
\(166\) | 12.2426 | − | 5.07107i | 0.950213 | − | 0.393591i | ||||
\(167\) | − | 17.3952i | − | 1.34608i | −0.739606 | − | 0.673040i | \(-0.764988\pi\) | ||
0.739606 | − | 0.673040i | \(-0.235012\pi\) | |||||||
\(168\) | 16.0756 | + | 1.20661i | 1.24026 | + | 0.0930920i | ||||
\(169\) | 8.65685 | 0.665912 | ||||||||
\(170\) | −9.77586 | − | 6.40321i | −0.749774 | − | 0.491104i | ||||
\(171\) | −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 | \(-0.694644\pi\) | ||
0.574090 | − | 0.818792i | \(-0.305356\pi\) | |||||||
\(174\) | 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 | \(-0.117340\pi\) | |||||||
\(180\) | −12.0902 | + | 5.81607i | −0.901151 | + | 0.433504i | ||||
\(181\) | 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 | ||||
\(190\) | 2.19146 | + | 1.43541i | 0.158985 | + | 0.104136i | ||||
\(191\) | −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 | \(0.251576\pi\) | ||||
−0.703596 | + | 0.710600i | \(0.748424\pi\) | |||||||
\(194\) | 1.47534 | + | 3.56178i | 0.105923 | + | 0.255721i | ||||
\(195\) | 10.9764 | − | 14.2958i | 0.786040 | − | 1.02374i | ||||
\(196\) | 5.41421 | − | 5.41421i | 0.386730 | − | 0.386730i | ||||
\(197\) | 11.9832i | 0.853770i | 0.904306 | + | 0.426885i | \(0.140389\pi\) | ||||
−0.904306 | + | 0.426885i | \(0.859611\pi\) | |||||||
\(198\) | −9.15096 | − | 5.51693i | −0.650330 | − | 0.392071i | ||||
\(199\) | − | 9.17157i | − | 0.650156i | −0.945687 | − | 0.325078i | \(-0.894610\pi\) | ||
0.945687 | − | 0.325078i | \(-0.105390\pi\) | |||||||
\(200\) | 10.1816 | + | 9.81503i | 0.719949 | + | 0.694027i | ||||
\(201\) | 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 | ||||||||
\(210\) | −4.67014 | + | 17.4081i | −0.322271 | + | 1.20127i | ||||
\(211\) | 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 | ||||
\(220\) | −2.09603 | + | 11.0666i | −0.141315 | + | 0.746110i | ||||
\(221\) | −17.1978 | −1.15685 | ||||||||
\(222\) | −3.07948 | − | 3.57927i | −0.206681 | − | 0.240225i | ||||
\(223\) | −21.9054 | −1.46690 | −0.733448 | − | 0.679746i | \(-0.762090\pi\) | ||||
−0.733448 | + | 0.679746i | \(0.762090\pi\) | |||||||
\(224\) | 7.12356 | + | 17.1978i | 0.475963 | + | 1.14908i | ||||
\(225\) | −3.87351 | − | 14.4912i | −0.258234 | − | 0.966082i | ||||
\(226\) | −11.6569 | + | 4.82843i | −0.775402 | + | 0.321182i | ||||
\(227\) | −4.14386 | −0.275038 | −0.137519 | − | 0.990499i | \(-0.543913\pi\) | ||||
−0.137519 | + | 0.990499i | \(0.543913\pi\) | |||||||
\(228\) | −2.56167 | − | 1.29357i | −0.169651 | − | 0.0856689i | ||||
\(229\) | 19.3137i | 1.27629i | 0.769918 | + | 0.638143i | \(0.220297\pi\) | ||||
−0.769918 | + | 0.638143i | \(0.779703\pi\) | |||||||
\(230\) | −4.52775 | + | 6.91258i | −0.298551 | + | 0.455802i | ||||
\(231\) | −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 | \(-0.674880\pi\) | ||||
−0.522178 | + | 0.852837i | \(0.674880\pi\) | |||||||
\(234\) | −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 | \(0.755459\pi\) | |||||||
\(240\) | −12.2877 | − | 9.43461i | −0.793169 | − | 0.609002i | ||||
\(241\) | −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 | ||||
\(250\) | −12.9002 | + | 9.14244i | −0.815882 | + | 0.578219i | ||||
\(251\) | − | 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 | ||||
\(255\) | −8.71645 | + | 11.3524i | −0.545845 | + | 0.710913i | ||||
\(256\) | −16.0000 | −1.00000 | ||||||||
\(257\) | 16.3128 | 1.01756 | 0.508782 | − | 0.860895i | \(-0.330096\pi\) | ||||
0.508782 | + | 0.860895i | \(0.330096\pi\) | |||||||
\(258\) | −11.1721 | + | 9.61204i | −0.695542 | + | 0.598419i | ||||
\(259\) | −6.34315 | −0.394144 | ||||||||
\(260\) | 20.4484 | + | 3.87297i | 1.26816 | + | 0.240191i | ||||
\(261\) | 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 | \(-0.759366\pi\) | ||
0.727604 | − | 0.685998i | \(-0.240634\pi\) | |||||||
\(264\) | 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 | \(0.594968\pi\) | |||||||
\(270\) | 5.99492 | + | 15.2990i | 0.364839 | + | 0.931070i | ||||
\(271\) | − | 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 | \(-0.350231\pi\) | ||||
0.453343 | + | 0.891336i | \(0.350231\pi\) | |||||||
\(278\) | 18.9259 | − | 7.83938i | 1.13510 | − | 0.470175i | ||||
\(279\) | 2.08644 | + | 2.82843i | 0.124912 | + | 0.169334i | ||||
\(280\) | −20.3740 | + | 4.24711i | −1.21758 | + | 0.253813i | ||||
\(281\) | 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 | \(0.180249\pi\) | ||||
−0.843909 | + | 0.536486i | \(0.819751\pi\) | |||||||
\(284\) | −10.0742 | + | 10.0742i | −0.597796 | + | 0.597796i | ||||
\(285\) | 1.95397 | − | 2.54487i | 0.115743 | − | 0.150745i | ||||
\(286\) | 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 | ||||||||
\(290\) | −16.0845 | − | 10.5354i | −0.944515 | − | 0.618659i | ||||
\(291\) | 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 | \(0.0225889\pi\) | ||||
−0.997483 | + | 0.0709056i | \(0.977411\pi\) | |||||||
\(294\) | −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 | ||||||||
\(300\) | 12.9205 | − | 11.5352i | 0.745967 | − | 0.665983i | ||||
\(301\) | 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 | \(-0.934632\pi\) | ||
0.978988 | − | 0.203919i | \(-0.0653680\pi\) | |||||||
\(308\) | −11.7206 | − | 11.7206i | −0.667843 | − | 0.667843i | ||||
\(309\) | −3.25623 | − | 9.89949i | −0.185240 | − | 0.563163i | ||||
\(310\) | 2.02998 | − | 3.09920i | 0.115295 | − | 0.176022i | ||||
\(311\) | 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 | \(-0.840291\pi\) | ||
0.876746 | − | 0.480954i | \(-0.159709\pi\) | |||||||
\(314\) | −7.55568 | + | 3.12967i | −0.426392 | + | 0.176617i | ||||
\(315\) | 20.8326 | + | 7.29948i | 1.17378 | + | 0.411279i | ||||
\(316\) | 23.3137 | + | 23.3137i | 1.31150 | + | 1.31150i | ||||
\(317\) | 13.2513i | 0.744269i | 0.928179 | + | 0.372135i | \(0.121374\pi\) | ||||
−0.928179 | + | 0.372135i | \(0.878626\pi\) | |||||||
\(318\) | 8.52695 | − | 7.33628i | 0.478168 | − | 0.411398i | ||||
\(319\) | − | 15.3137i | − | 0.857403i | ||||||
\(320\) | 3.32894 | − | 17.5761i | 0.186093 | − | 0.982532i | ||||
\(321\) | 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 | ||||||||
\(330\) | 13.3236 | + | 3.57437i | 0.733440 | + | 0.196763i | ||||
\(331\) | −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 | \(-0.724950\pi\) | ||
0.649328 | − | 0.760508i | \(-0.275050\pi\) | |||||||
\(338\) | 11.3107 | − | 4.68506i | 0.615222 | − | 0.254833i | ||||
\(339\) | 4.82843 | + | 14.6792i | 0.262244 | + | 0.797267i | ||||
\(340\) | −16.2382 | − | 3.07554i | −0.880638 | − | 0.166795i | ||||
\(341\) | 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 | ||||
\(345\) | 8.02734 | + | 6.16346i | 0.432177 | + | 0.331829i | ||||
\(346\) | −11.6569 | − | 28.1421i | −0.626676 | − | 1.51293i | ||||
\(347\) | 0.185709 | 0.00996939 | 0.00498469 | − | 0.999988i | \(-0.498413\pi\) | ||||
0.00498469 | + | 0.999988i | \(0.498413\pi\) | |||||||
\(348\) | 18.8017 | + | 9.49433i | 1.00788 | + | 0.508949i | ||||
\(349\) | 2.34315i | 0.125426i | 0.998032 | + | 0.0627129i | \(0.0199752\pi\) | ||||
−0.998032 | + | 0.0627129i | \(0.980025\pi\) | |||||||
\(350\) | −0.426486 | − | 23.2646i | −0.0227966 | − | 1.24354i | ||||
\(351\) | 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 | \(-0.830320\pi\) | ||||
−0.861254 | + | 0.508175i | \(0.830320\pi\) | |||||||
\(354\) | −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 | \(0.578146\pi\) | |||||||
\(360\) | −12.6490 | + | 14.1422i | −0.666660 | + | 0.745362i | ||||
\(361\) | −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 | \(-0.482033\pi\) | ||||
0.0564142 | + | 0.998407i | \(0.482033\pi\) | |||||||
\(368\) | 10.4525 | 0.544874 | ||||||||
\(369\) | 15.3137 | + | 20.7596i | 0.797200 | + | 1.08070i | ||||
\(370\) | 5.09920 | + | 3.33998i | 0.265095 | + | 0.173638i | ||||
\(371\) | − | 15.1114i | − | 0.784543i | ||||||
\(372\) | −1.82939 | + | 3.62275i | −0.0948493 | + | 0.187831i | ||||
\(373\) | −24.3976 | −1.26326 | −0.631631 | − | 0.775269i | \(-0.717614\pi\) | ||||
−0.631631 | + | 0.775269i | \(0.717614\pi\) | |||||||
\(374\) | −5.03712 | − | 12.1607i | −0.260463 | − | 0.628814i | ||||
\(375\) | 9.98319 | + | 16.5932i | 0.515530 | + | 0.856872i | ||||
\(376\) | −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 | \(0.320333\pi\) | |||||||
\(380\) | 3.64012 | + | 0.689446i | 0.186734 | + | 0.0353678i | ||||
\(381\) | −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 | \(0.267014\pi\) | ||||
−0.668320 | + | 0.743874i | \(0.732986\pi\) | |||||||
\(384\) | −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 | \(0.561350\pi\) | |||||||
\(390\) | 6.60458 | − | 24.6188i | 0.334436 | − | 1.24662i | ||||
\(391\) | − | 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 | \(-0.738303\pi\) | ||||
−0.680650 | + | 0.732609i | \(0.738303\pi\) | |||||||
\(398\) | −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 | ||||
\(405\) | 19.2344 | − | 5.91920i | 0.955766 | − | 0.294127i | ||||
\(406\) | 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 | \(0.602730\pi\) | |||||||
\(410\) | 14.8993 | − | 22.7469i | 0.735823 | − | 1.12339i | ||||
\(411\) | −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 | \(0.980405\pi\) | |||||||
\(420\) | 3.31937 | + | 25.2723i | 0.161969 | + | 1.23316i | ||||
\(421\) | − | 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 | ||||
\(430\) | 10.4252 | − | 15.9162i | 0.502746 | − | 0.767548i | ||||
\(431\) | −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 | \(0.191916\pi\) | ||||
−0.823682 | + | 0.567052i | \(0.808084\pi\) | |||||||
\(434\) | 2.08644 | + | 5.03712i | 0.100152 | + | 0.241790i | ||||
\(435\) | −14.3414 | + | 18.6784i | −0.687619 | + | 0.895560i | ||||
\(436\) | 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 | \(0.762082\pi\) | |||||||
\(440\) | 3.25060 | + | 15.5936i | 0.154966 | + | 0.743394i | ||||
\(441\) | −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 | \(-0.487840\pi\) | ||||
0.0381910 | + | 0.999270i | \(0.487840\pi\) | |||||||
\(444\) | −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 | \(-0.309408\pi\) | |||||||
\(450\) | −12.9036 | − | 16.8374i | −0.608281 | − | 0.793722i | ||||
\(451\) | 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 | \(0.143386\pi\) | ||||
−0.900246 | + | 0.435381i | \(0.856614\pi\) | |||||||
\(458\) | 10.4525 | + | 25.2346i | 0.488413 | + | 1.17913i | ||||
\(459\) | −15.6569 | − | 11.1175i | −0.730799 | − | 0.518919i | ||||
\(460\) | −2.17473 | + | 11.4821i | −0.101398 | + | 0.535357i | ||||
\(461\) | 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 | \(-0.295724\pi\) | ||||
0.598600 | + | 0.801048i | \(0.295724\pi\) | |||||||
\(464\) | 24.3214i | 1.12909i | ||||||||
\(465\) | −3.59899 | − | 2.76333i | −0.166899 | − | 0.128147i | ||||
\(466\) | −20.8284 | + | 8.62742i | −0.964858 | + | 0.399657i | ||||
\(467\) | 15.8645 | 0.734120 | 0.367060 | − | 0.930197i | \(-0.380364\pi\) | ||||
0.367060 | + | 0.930197i | \(0.380364\pi\) | |||||||
\(468\) | −4.16810 | + | 27.6093i | −0.192670 | + | 1.27624i | ||||
\(469\) | − | 10.8284i | − | 0.500010i | ||||||
\(470\) | 4.52775 | − | 6.91258i | 0.208850 | − | 0.318853i | ||||
\(471\) | 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 | \(0.354780\pi\) | |||||||
\(480\) | −21.1607 | − | 5.67685i | −0.965847 | − | 0.259112i | ||||
\(481\) | 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 | \(-0.436527\pi\) | ||||
0.198087 | + | 0.980184i | \(0.436527\pi\) | |||||||
\(488\) | −22.1731 | − | 9.18440i | −1.00373 | − | 0.415758i | ||||
\(489\) | 9.89949 | − | 3.25623i | 0.447671 | − | 0.147252i | ||||
\(490\) | 10.1274 | + | 6.63350i | 0.457511 | + | 0.299671i | ||||
\(491\) | − | 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 | ||||
\(495\) | 5.58678 | − | 15.9446i | 0.251107 | − | 0.716655i | ||||
\(496\) | −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 | \(0.812057\pi\) | |||||||
\(500\) | −11.9071 | + | 18.9267i | −0.532502 | + | 0.846429i | ||||
\(501\) | −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 | \(0.0688941\pi\) | ||||
−0.976669 | + | 0.214751i | \(0.931106\pi\) | |||||||
\(504\) | −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 | \(0.405471\pi\) | |||||||
\(510\) | −5.24473 | + | 19.5499i | −0.232240 | + | 0.865684i | ||||
\(511\) | 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 | ||||
\(520\) | 28.8132 | − | 6.00632i | 1.26354 | − | 0.263395i | ||||
\(521\) | 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 | \(-0.911177\pi\) | ||
0.961319 | − | 0.275437i | \(-0.0888225\pi\) | |||||||
\(524\) | 30.8338 | + | 30.8338i | 1.34698 | + | 1.34698i | ||||
\(525\) | −28.4523 | − | 1.61178i | −1.24176 | − | 0.0703437i | ||||
\(526\) | −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 | ||||||||
\(530\) | −7.95689 | + | 12.1479i | −0.345625 | + | 0.527670i | ||||
\(531\) | 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 | ||||||||
\(540\) | 16.1125 | + | 16.7447i | 0.693373 | + | 0.720579i | ||||
\(541\) | − | 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 | \(0.0755704\pi\) | ||||
−0.971950 | + | 0.235188i | \(0.924430\pi\) | |||||||
\(548\) | 16.9469 | − | 16.9469i | 0.723934 | − | 0.723934i | ||||
\(549\) | 15.1114 | + | 20.4853i | 0.644937 | + | 0.874291i | ||||
\(550\) | −17.8059 | + | 0.326418i | −0.759247 | + | 0.0139185i | ||||
\(551\) | −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 | ||||
\(555\) | 4.54659 | − | 5.92152i | 0.192992 | − | 0.251355i | ||||
\(556\) | 20.4853 | − | 20.4853i | 0.868769 | − | 0.868769i | ||||
\(557\) | − | 4.96362i | − | 0.210315i | −0.994456 | − | 0.105158i | \(-0.966465\pi\) | ||
0.994456 | − | 0.105158i | \(-0.0335347\pi\) | |||||||
\(558\) | 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 | \(-0.346655\pi\) | ||||
0.463329 | + | 0.886186i | \(0.346655\pi\) | |||||||
\(564\) | −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 | \(-0.106900\pi\) | |||||||
\(570\) | 1.17571 | − | 4.38252i | 0.0492453 | − | 0.183563i | ||||
\(571\) | 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 | \(-0.974429\pi\) | ||
0.996775 | − | 0.0802480i | \(-0.0255712\pi\) | |||||||
\(578\) | −4.36803 | + | 1.80930i | −0.181686 | + | 0.0752569i | ||||
\(579\) | 32.4853 | − | 10.6853i | 1.35004 | − | 0.444068i | ||||
\(580\) | −26.7171 | − | 5.06027i | −1.10937 | − | 0.210116i | ||||
\(581\) | −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 | ||||
\(585\) | −29.4617 | − | 10.3230i | −1.21809 | − | 0.426805i | ||||
\(586\) | 1.31371 | + | 3.17157i | 0.0542688 | + | 0.131016i | ||||
\(587\) | −7.20533 | −0.297396 | −0.148698 | − | 0.988883i | \(-0.547508\pi\) | ||||
−0.148698 | + | 0.988883i | \(0.547508\pi\) | |||||||
\(588\) | −11.8383 | − | 5.97801i | −0.488204 | − | 0.246529i | ||||
\(589\) | − | 0.970563i | − | 0.0399913i | ||||||
\(590\) | 4.36390 | − | 6.66242i | 0.179659 | − | 0.274287i | ||||
\(591\) | 19.7164 | − | 6.48528i | 0.811023 | − | 0.266769i | ||||
\(592\) | − | 7.71049i | − | 0.316899i | ||||||
\(593\) | −1.00547 | −0.0412897 | −0.0206448 | − | 0.999787i | \(-0.506572\pi\) | ||||
−0.0206448 | + | 0.999787i | \(0.506572\pi\) | |||||||
\(594\) | −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 | \(0.270532\pi\) | |||||||
\(600\) | 10.6387 | − | 22.0640i | 0.434323 | − | 0.900757i | ||||
\(601\) | 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 | \(-0.531625\pi\) | ||||
−0.0991898 | + | 0.995069i | \(0.531625\pi\) | |||||||
\(608\) | −1.79337 | − | 4.32957i | −0.0727306 | − | 0.175587i | ||||
\(609\) | −10.8284 | − | 32.9203i | −0.438790 | − | 1.33400i | ||||
\(610\) | 14.7024 | − | 22.4464i | 0.595283 | − | 0.908827i | ||||
\(611\) | − | 12.1607i | − | 0.491969i | ||||||
\(612\) | 3.30990 | − | 21.9247i | 0.133795 | − | 0.886252i | ||||
\(613\) | 23.2685 | 0.939804 | 0.469902 | − | 0.882718i | \(-0.344289\pi\) | ||||
0.469902 | + | 0.882718i | \(0.344289\pi\) | |||||||
\(614\) | −3.86733 | − | 9.33657i | −0.156073 | − | 0.376793i | ||||
\(615\) | −26.4152 | − | 20.2818i | −1.06516 | − | 0.817842i | ||||
\(616\) | −21.6569 | − | 8.97056i | −0.872580 | − | 0.361434i | ||||
\(617\) | 8.55035 | 0.344224 | 0.172112 | − | 0.985077i | \(-0.444941\pi\) | ||||
0.172112 | + | 0.985077i | \(0.444941\pi\) | |||||||
\(618\) | −9.61204 | − | 11.1721i | −0.386653 | − | 0.449406i | ||||
\(619\) | −2.48528 | −0.0998919 | −0.0499459 | − | 0.998752i | \(-0.515905\pi\) | ||||
−0.0499459 | + | 0.998752i | \(0.515905\pi\) | |||||||
\(620\) | 0.975024 | − | 5.14791i | 0.0391579 | − | 0.206745i | ||||
\(621\) | −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 | ||||||||
\(630\) | 31.1695 | − | 1.73728i | 1.24182 | − | 0.0692150i | ||||
\(631\) | − | 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 | ||||
\(640\) | −5.16263 | − | 24.7658i | −0.204071 | − | 0.978956i | ||||
\(641\) | 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 | \(-0.756961\pi\) | ||
0.722401 | − | 0.691475i | \(-0.243039\pi\) | |||||||
\(644\) | −12.1607 | − | 12.1607i | −0.479198 | − | 0.479198i | ||||
\(645\) | −18.4830 | − | 14.1914i | −0.727766 | − | 0.558785i | ||||
\(646\) | −4.00000 | + | 1.65685i | −0.157378 | + | 0.0651881i | ||||
\(647\) | − | 28.3730i | − | 1.11546i | −0.830024 | − | 0.557728i | \(-0.811673\pi\) | ||
0.830024 | − | 0.557728i | \(-0.188327\pi\) | |||||||
\(648\) | −19.5943 | − | 16.2501i | −0.769735 | − | 0.638363i | ||||
\(649\) | 6.34315 | 0.248990 | ||||||||
\(650\) | 0.603142 | + | 32.9010i | 0.0236572 | + | 1.29049i | ||||
\(651\) | 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 | \(0.157219\pi\) | ||||
−0.880482 | + | 0.474079i | \(0.842781\pi\) | |||||||
\(654\) | 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 | \(0.907704\pi\) | |||||||
\(660\) | 19.3426 | − | 2.54053i | 0.752908 | − | 0.0988902i | ||||
\(661\) | 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 | ||||
\(670\) | −5.70171 | + | 8.70487i | −0.220276 | + | 0.336299i | ||||
\(671\) | 21.3707 | 0.825006 | ||||||||
\(672\) | 24.4408 | − | 21.0280i | 0.942824 | − | 0.811172i | ||||
\(673\) | 47.6661i | 1.83739i | 0.394964 | + | 0.918697i | \(0.370757\pi\) | ||||
−0.394964 | + | 0.918697i | \(0.629243\pi\) | |||||||
\(674\) | −15.1114 | − | 36.4821i | −0.582068 | − | 1.40524i | ||||
\(675\) | −21.7465 | + | 14.2158i | −0.837024 | + | 0.547166i | ||||
\(676\) | 12.2426 | − | 12.2426i | 0.470871 | − | 0.470871i | ||||
\(677\) | 1.00547i | 0.0386433i | 0.999813 | + | 0.0193217i | \(0.00615066\pi\) | ||||
−0.999813 | + | 0.0193217i | \(0.993849\pi\) | |||||||
\(678\) | 14.2530 | + | 16.5662i | 0.547383 | + | 0.636222i | ||||
\(679\) | − | 8.97056i | − | 0.344259i | ||||||
\(680\) | −22.8807 | + | 4.76965i | −0.877433 | + | 0.182908i | ||||
\(681\) | 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 | \(-0.407554\pi\) | ||||
0.286363 | + | 0.958121i | \(0.407554\pi\) | |||||||
\(684\) | −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 | ||||||||
\(690\) | 13.8239 | + | 3.70858i | 0.526266 | + | 0.141183i | ||||
\(691\) | −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 | ||||
\(700\) | −13.1479 | − | 30.1658i | −0.496945 | − | 1.14016i | ||||
\(701\) | 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 | ||||
\(705\) | −8.02734 | − | 6.16346i | −0.302327 | − | 0.232129i | ||||
\(706\) | −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 | \(-0.238603\pi\) | |||||||
\(710\) | −18.8442 | − | 12.3430i | −0.707209 | − | 0.463223i | ||||
\(711\) | −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 | \(0.517523\pi\) | |||||||
\(720\) | −8.87298 | + | 25.3233i | −0.330676 | + | 0.943744i | ||||
\(721\) | −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 | \(-0.838122\pi\) | ||||
−0.873449 | + | 0.486915i | \(0.838122\pi\) | |||||||
\(728\) | −16.5754 | + | 40.0166i | −0.614327 | + | 1.48312i | ||||
\(729\) | 8.89949 | + | 25.4912i | 0.329611 | + | 0.944117i | ||||
\(730\) | 11.4034 | − | 17.4097i | 0.422059 | − | 0.644363i | ||||
\(731\) | 22.2349i | 0.822388i | ||||||||
\(732\) | −13.2496 | + | 26.2383i | −0.489719 | + | 0.969795i | ||||
\(733\) | 9.63811 | 0.355992 | 0.177996 | − | 0.984031i | \(-0.443039\pi\) | ||||
0.177996 | + | 0.984031i | \(0.443039\pi\) | |||||||
\(734\) | 2.82411 | − | 1.16979i | 0.104240 | − | 0.0431776i | ||||
\(735\) | 9.02993 | − | 11.7607i | 0.333074 | − | 0.433798i | ||||
\(736\) | 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 | \(0.666579\pi\) | |||||||
\(740\) | 8.47001 | + | 1.60423i | 0.311364 | + | 0.0589728i | ||||
\(741\) | −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 | \(-0.909873\pi\) | ||
0.960182 | − | 0.279375i | \(-0.0901272\pi\) | |||||||
\(744\) | −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 | ||||||||
\(750\) | 22.0239 | + | 16.2773i | 0.804198 | + | 0.594362i | ||||
\(751\) | 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 | \(-0.425083\pi\) | ||||
0.233192 | + | 0.972431i | \(0.425083\pi\) | |||||||
\(758\) | 27.2137 | − | 11.2723i | 0.988444 | − | 0.409427i | ||||
\(759\) | 3.56178 | + | 10.8284i | 0.129284 | + | 0.393047i | ||||
\(760\) | 5.12918 | − | 1.06922i | 0.186055 | − | 0.0387845i | ||||
\(761\) | − | 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 | ||||
\(765\) | 23.3957 | + | 8.19756i | 0.845873 | + | 0.296383i | ||||
\(766\) | 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 | \(0.852308\pi\) | |||||||
\(770\) | 14.3601 | − | 21.9237i | 0.517502 | − | 0.790077i | ||||
\(771\) | −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 | \(0.110081\pi\) | ||||
−0.940795 | + | 0.338976i | \(0.889919\pi\) | |||||||
\(774\) | 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 | ||||||
\(780\) | −4.69430 | − | 35.7404i | −0.168083 | − | 1.27971i | ||||
\(781\) | − | 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 | \(-0.670701\pi\) | ||
0.510935 | − | 0.859619i | \(-0.329299\pi\) | |||||||
\(788\) | 16.9469 | + | 16.9469i | 0.603707 | + | 0.603707i | ||||
\(789\) | −36.6086 | + | 12.0416i | −1.30330 | + | 0.428693i | ||||
\(790\) | −28.5640 | + | 43.6090i | −1.01626 | + | 1.55154i | ||||
\(791\) | 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 | ||||
\(795\) | 14.1069 | + | 10.8314i | 0.500321 | + | 0.384151i | ||||
\(796\) | −12.9706 | − | 12.9706i | −0.459729 | − | 0.459729i | ||||
\(797\) | 8.92177i | 0.316025i | 0.987437 | + | 0.158013i | \(0.0505087\pi\) | ||||
−0.987437 | + | 0.158013i | \(0.949491\pi\) | |||||||
\(798\) | 4.35504 | + | 5.06186i | 0.154167 | + | 0.179188i | ||||
\(799\) | 9.65685i | 0.341635i | ||||||||
\(800\) | 28.2795 | − | 0.518420i | 0.999832 | − | 0.0183289i | ||||
\(801\) | −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 | \(0.976629\pi\) | |||||||
\(810\) | 21.9275 | − | 18.1434i | 0.770455 | − | 0.637494i | ||||
\(811\) | −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 | ||||
\(820\) | 7.15631 | − | 37.7837i | 0.249909 | − | 1.31946i | ||||
\(821\) | −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 | \(-0.634339\pi\) | ||||
−0.409620 | + | 0.912256i | \(0.634339\pi\) | |||||||
\(824\) | 6.51246 | − | 15.7225i | 0.226872 | − | 0.547718i | ||||
\(825\) | −1.23360 | + | 21.7765i | −0.0429484 | + | 0.758159i | ||||
\(826\) | 4.48528 | + | 10.8284i | 0.156063 | + | 0.376769i | ||||
\(827\) | 35.5014 | 1.23450 | 0.617252 | − | 0.786766i | \(-0.288246\pi\) | ||||
0.617252 | + | 0.786766i | \(0.288246\pi\) | |||||||
\(828\) | −15.5031 | − | 2.34045i | −0.538769 | − | 0.0813364i | ||||
\(829\) | − | 5.17157i | − | 0.179616i | −0.995959 | − | 0.0898081i | \(-0.971375\pi\) | ||
0.995959 | − | 0.0898081i | \(-0.0286254\pi\) | |||||||
\(830\) | 24.7870 | + | 16.2356i | 0.860370 | + | 0.563544i | ||||
\(831\) | −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 | \(0.877297\pi\) | |||||||
\(840\) | 18.0142 | + | 31.2234i | 0.621549 | + | 1.07731i | ||||
\(841\) | 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 | ||||
\(850\) | −0.478958 | − | 26.1269i | −0.0164281 | − | 0.896144i | ||||
\(851\) | 5.03712i | 0.172670i | ||||||||
\(852\) | 22.0276 | + | 11.1233i | 0.754652 | + | 0.381078i | ||||
\(853\) | 36.4311 | 1.24738 | 0.623688 | − | 0.781673i | \(-0.285633\pi\) | ||||
0.623688 | + | 0.781673i | \(0.285633\pi\) | |||||||
\(854\) | 15.1114 | + | 36.4821i | 0.517100 | + | 1.24839i | ||||
\(855\) | −5.24463 | − | 1.83765i | −0.179363 | − | 0.0628464i | ||||
\(856\) | −9.17157 | + | 22.1421i | −0.313478 | + | 0.756803i | ||||
\(857\) | 28.5587 | 0.975546 | 0.487773 | − | 0.872971i | \(-0.337809\pi\) | ||||
0.487773 | + | 0.872971i | \(0.337809\pi\) | |||||||
\(858\) | 21.7632 | − | 18.7243i | 0.742983 | − | 0.639236i | ||||
\(859\) | 3.85786 | 0.131629 | 0.0658143 | − | 0.997832i | \(-0.479035\pi\) | ||||
0.0658143 | + | 0.997832i | \(0.479035\pi\) | |||||||
\(860\) | 5.00733 | − | 26.4376i | 0.170749 | − | 0.901515i | ||||
\(861\) | 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 | \(0.111055\pi\) | ||||
−0.939753 | + | 0.341855i | \(0.888945\pi\) | |||||||
\(864\) | 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 | ||||||||
\(870\) | −8.62930 | + | 32.1660i | −0.292561 | + | 1.09053i | ||||
\(871\) | 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 | \(-0.703256\pi\) | ||||
−0.596031 | + | 0.802962i | \(0.703256\pi\) | |||||||
\(878\) | 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 | \(0.219386\pi\) | ||||
−0.771741 | + | 0.635937i | \(0.780614\pi\) | |||||||
\(884\) | −24.3214 | + | 24.3214i | −0.818016 | + | 0.818016i | ||||
\(885\) | −7.73684 | − | 5.94041i | −0.260071 | − | 0.199685i | ||||
\(886\) | 2.10051 | − | 0.870058i | 0.0705678 | − | 0.0292302i | ||||
\(887\) | − | 12.5404i | − | 0.421064i | −0.977587 | − | 0.210532i | \(-0.932480\pi\) | ||
0.977587 | − | 0.210532i | \(-0.0675197\pi\) | |||||||
\(888\) | −9.41689 | − | 0.706816i | −0.316010 | − | 0.0237192i | ||||
\(889\) | −10.8284 | −0.363174 | ||||||||
\(890\) | −8.72780 | + | 13.3248i | −0.292556 | + | 0.446650i | ||||
\(891\) | 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 | ||||||||
\(900\) | −25.9717 | − | 15.0157i | −0.865722 | − | 0.500525i | ||||
\(901\) | − | 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 | \(-0.959657\pi\) | ||
0.991979 | − | 0.126403i | \(-0.0403433\pi\) | |||||||
\(908\) | −5.86030 | + | 5.86030i | −0.194481 | + | 0.194481i | ||||
\(909\) | −31.8771 | + | 23.5147i | −1.05730 | + | 0.779934i | ||||
\(910\) | −40.5098 | − | 26.5340i | −1.34289 | − | 0.879594i | ||||
\(911\) | 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 | ||||
\(915\) | −26.0662 | − | 20.0138i | −0.861722 | − | 0.661637i | ||||
\(916\) | 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 | \(-0.0323019\pi\) | |||||||
\(920\) | 3.37265 | + | 16.1791i | 0.111193 | + | 0.533408i | ||||
\(921\) | −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 | \(0.855914\pi\) | |||||||
\(930\) | −6.19781 | − | 1.66271i | −0.203234 | − | 0.0545225i | ||||
\(931\) | 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 | \(-0.957351\pi\) | ||
0.991037 | − | 0.133585i | \(-0.0426490\pi\) | |||||||
\(938\) | −5.86030 | − | 14.1480i | −0.191346 | − | 0.461949i | ||||
\(939\) | −28.0000 | + | 9.21001i | −0.913745 | + | 0.300557i | ||||
\(940\) | 2.17473 | − | 11.4821i | 0.0709320 | − | 0.374505i | ||||
\(941\) | 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 | ||||||||
\(945\) | 0.735532 | − | 38.2269i | 0.0239269 | − | 1.24352i | ||||
\(946\) | 19.7990 | − | 8.20101i | 0.643721 | − | 0.266638i | ||||
\(947\) | −21.6160 | −0.702425 | −0.351213 | − | 0.936296i | \(-0.614231\pi\) | ||||
−0.351213 | + | 0.936296i | \(0.614231\pi\) | |||||||
\(948\) | 25.7414 | − | 50.9760i | 0.836043 | − | 1.65562i | ||||
\(949\) | − | 30.6274i | − | 0.994208i | ||||||
\(950\) | 0.107368 | + | 5.85688i | 0.00348349 | + | 0.190022i | ||||
\(951\) | 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 | \(-0.246880\pi\) | ||||
0.714004 | + | 0.700142i | \(0.246880\pi\) | |||||||
\(954\) | −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 | ||||||||
\(960\) | −30.7200 | + | 4.03490i | −0.991484 | + | 0.130226i | ||||
\(961\) | 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 | \(-0.151513\pi\) | ||||
0.888838 | + | 0.458222i | \(0.151513\pi\) | |||||||
\(968\) | 5.04054 | − | 12.1689i | 0.162009 | − | 0.391125i | ||||
\(969\) | 1.65685 | + | 5.03712i | 0.0532258 | + | 0.161816i | ||||
\(970\) | −4.72345 | + | 7.21135i | −0.151661 | + | 0.231543i | ||||
\(971\) | 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 | ||||
\(975\) | 40.2376 | + | 2.27939i | 1.28864 | + | 0.0729991i | ||||
\(976\) | −33.9411 | −1.08643 | ||||||||
\(977\) | −33.2597 | −1.06407 | −0.532035 | − | 0.846722i | \(-0.678573\pi\) | ||||
−0.532035 | + | 0.846722i | \(0.678573\pi\) | |||||||
\(978\) | 11.1721 | − | 9.61204i | 0.357243 | − | 0.307359i | ||||
\(979\) | −12.6863 | −0.405456 | ||||||||
\(980\) | 16.8222 | + | 3.18615i | 0.537365 | + | 0.101778i | ||||
\(981\) | −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 | \(0.0510016\pi\) | ||||
−0.987191 | + | 0.159542i | \(0.948998\pi\) | |||||||
\(984\) | −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 | ||||||||
\(990\) | −1.32966 | − | 23.8561i | −0.0422593 | − | 0.758198i | ||||
\(991\) | − | 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 | \(-0.543020\pi\) | ||||
−0.134740 | + | 0.990881i | \(0.543020\pi\) | |||||||
\(998\) | −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 \(a_p\))