Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [380,2,Mod(267,380)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(380, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 1, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("380.267");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 380 = 2^{2} \cdot 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 380.k (of order \(4\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.03431527681\) |
Analytic rank: | \(0\) |
Dimension: | \(52\) |
Relative dimension: | \(26\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 267.12 | ||
Character | \(\chi\) | \(=\) | 380.267 |
Dual form | 380.2.k.d.343.12 |
$q$-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 \(\left(\mathbb{Z}/380\mathbb{Z}\right)^\times\).
\(n\) | \(21\) | \(77\) | \(191\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{4}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.282971 | − | 1.38561i | −0.200091 | − | 0.979777i | ||||
\(3\) | −0.321015 | − | 0.321015i | −0.185338 | − | 0.185338i | 0.608339 | − | 0.793677i | \(-0.291836\pi\) |
−0.793677 | + | 0.608339i | \(0.791836\pi\) | |||||||
\(4\) | −1.83985 | + | 0.784178i | −0.919927 | + | 0.392089i | ||||
\(5\) | 1.77712 | + | 1.35715i | 0.794751 | + | 0.606936i | ||||
\(6\) | −0.353965 | + | 0.535642i | −0.144506 | + | 0.218675i | ||||
\(7\) | −1.91243 | + | 1.91243i | −0.722832 | + | 0.722832i | −0.969181 | − | 0.246349i | \(-0.920769\pi\) |
0.246349 | + | 0.969181i | \(0.420769\pi\) | |||||||
\(8\) | 1.60719 | + | 2.32743i | 0.568229 | + | 0.822870i | ||||
\(9\) | − | 2.79390i | − | 0.931299i | ||||||
\(10\) | 1.37761 | − | 2.84643i | 0.435640 | − | 0.900121i | ||||
\(11\) | 5.65006i | 1.70356i | 0.523903 | + | 0.851778i | \(0.324475\pi\) | ||||
−0.523903 | + | 0.851778i | \(0.675525\pi\) | |||||||
\(12\) | 0.842355 | + | 0.338888i | 0.243167 | + | 0.0978287i | ||||
\(13\) | −2.00460 | + | 2.00460i | −0.555977 | + | 0.555977i | −0.928160 | − | 0.372182i | \(-0.878610\pi\) |
0.372182 | + | 0.928160i | \(0.378610\pi\) | |||||||
\(14\) | 3.19106 | + | 2.10873i | 0.852847 | + | 0.563583i | ||||
\(15\) | −0.134816 | − | 1.00615i | −0.0348092 | − | 0.259786i | ||||
\(16\) | 2.77013 | − | 2.88555i | 0.692532 | − | 0.721387i | ||||
\(17\) | 3.89197 | + | 3.89197i | 0.943942 | + | 0.943942i | 0.998510 | − | 0.0545685i | \(-0.0173783\pi\) |
−0.0545685 | + | 0.998510i | \(0.517378\pi\) | |||||||
\(18\) | −3.87127 | + | 0.790593i | −0.912466 | + | 0.186345i | ||||
\(19\) | −1.00000 | −0.229416 | ||||||||
\(20\) | −4.33388 | − | 1.10338i | −0.969086 | − | 0.246724i | ||||
\(21\) | 1.22784 | 0.267937 | ||||||||
\(22\) | 7.82880 | − | 1.59880i | 1.66911 | − | 0.340866i | ||||
\(23\) | 3.04830 | + | 3.04830i | 0.635614 | + | 0.635614i | 0.949470 | − | 0.313857i | \(-0.101621\pi\) |
−0.313857 | + | 0.949470i | \(0.601621\pi\) | |||||||
\(24\) | 0.231207 | − | 1.26307i | 0.0471948 | − | 0.257824i | ||||
\(25\) | 1.31629 | + | 4.82363i | 0.263257 | + | 0.964726i | ||||
\(26\) | 3.34485 | + | 2.21036i | 0.655980 | + | 0.433488i | ||||
\(27\) | −1.85993 | + | 1.85993i | −0.357944 | + | 0.357944i | ||||
\(28\) | 2.01891 | − | 5.01829i | 0.381539 | − | 0.948368i | ||||
\(29\) | − | 8.56783i | − | 1.59101i | −0.605950 | − | 0.795503i | \(-0.707207\pi\) | ||
0.605950 | − | 0.795503i | \(-0.292793\pi\) | |||||||
\(30\) | −1.35598 | + | 0.471513i | −0.247568 | + | 0.0860862i | ||||
\(31\) | − | 3.58721i | − | 0.644282i | −0.946692 | − | 0.322141i | \(-0.895597\pi\) | ||
0.946692 | − | 0.322141i | \(-0.104403\pi\) | |||||||
\(32\) | −4.78212 | − | 3.02180i | −0.845368 | − | 0.534185i | ||||
\(33\) | 1.81376 | − | 1.81376i | 0.315734 | − | 0.315734i | ||||
\(34\) | 4.29145 | − | 6.49409i | 0.735978 | − | 1.11373i | ||||
\(35\) | −5.99408 | + | 0.803157i | −1.01318 | + | 0.135758i | ||||
\(36\) | 2.19091 | + | 5.14037i | 0.365152 | + | 0.856728i | ||||
\(37\) | 3.87230 | + | 3.87230i | 0.636603 | + | 0.636603i | 0.949716 | − | 0.313113i | \(-0.101372\pi\) |
−0.313113 | + | 0.949716i | \(0.601372\pi\) | |||||||
\(38\) | 0.282971 | + | 1.38561i | 0.0459040 | + | 0.224776i | ||||
\(39\) | 1.28702 | 0.206088 | ||||||||
\(40\) | −0.302500 | + | 6.31732i | −0.0478295 | + | 0.998856i | ||||
\(41\) | −0.0555658 | −0.00867792 | −0.00433896 | − | 0.999991i | \(-0.501381\pi\) | ||||
−0.00433896 | + | 0.999991i | \(0.501381\pi\) | |||||||
\(42\) | −0.347444 | − | 1.70132i | −0.0536118 | − | 0.262519i | ||||
\(43\) | −1.97854 | − | 1.97854i | −0.301724 | − | 0.301724i | 0.539964 | − | 0.841688i | \(-0.318438\pi\) |
−0.841688 | + | 0.539964i | \(0.818438\pi\) | |||||||
\(44\) | −4.43065 | − | 10.3953i | −0.667946 | − | 1.56715i | ||||
\(45\) | 3.79174 | − | 4.96508i | 0.565239 | − | 0.740151i | ||||
\(46\) | 3.36118 | − | 5.08634i | 0.495579 | − | 0.749940i | ||||
\(47\) | 4.74358 | − | 4.74358i | 0.691922 | − | 0.691922i | −0.270733 | − | 0.962655i | \(-0.587266\pi\) |
0.962655 | + | 0.270733i | \(0.0872660\pi\) | |||||||
\(48\) | −1.81556 | + | 0.0370507i | −0.262053 | + | 0.00534781i | ||||
\(49\) | − | 0.314813i | − | 0.0449732i | ||||||
\(50\) | 6.31122 | − | 3.18881i | 0.892541 | − | 0.450966i | ||||
\(51\) | − | 2.49877i | − | 0.349897i | ||||||
\(52\) | 2.11621 | − | 5.26015i | 0.293466 | − | 0.729451i | ||||
\(53\) | −7.95199 | + | 7.95199i | −1.09229 | + | 1.09229i | −0.0970058 | + | 0.995284i | \(0.530927\pi\) |
−0.995284 | + | 0.0970058i | \(0.969073\pi\) | |||||||
\(54\) | 3.10345 | + | 2.05084i | 0.422327 | + | 0.279084i | ||||
\(55\) | −7.66798 | + | 10.0408i | −1.03395 | + | 1.35390i | ||||
\(56\) | −7.52471 | − | 1.37740i | −1.00553 | − | 0.184063i | ||||
\(57\) | 0.321015 | + | 0.321015i | 0.0425195 | + | 0.0425195i | ||||
\(58\) | −11.8717 | + | 2.42445i | −1.55883 | + | 0.318346i | ||||
\(59\) | −8.34740 | −1.08674 | −0.543369 | − | 0.839494i | \(-0.682852\pi\) | ||||
−0.543369 | + | 0.839494i | \(0.682852\pi\) | |||||||
\(60\) | 1.03704 | + | 1.74545i | 0.133881 | + | 0.225336i | ||||
\(61\) | 12.0737 | 1.54588 | 0.772939 | − | 0.634481i | \(-0.218786\pi\) | ||||
0.772939 | + | 0.634481i | \(0.218786\pi\) | |||||||
\(62\) | −4.97049 | + | 1.01508i | −0.631253 | + | 0.128915i | ||||
\(63\) | 5.34315 | + | 5.34315i | 0.673173 | + | 0.673173i | ||||
\(64\) | −2.83385 | + | 7.48126i | −0.354232 | + | 0.935158i | ||||
\(65\) | −6.28297 | + | 0.841866i | −0.779306 | + | 0.104421i | ||||
\(66\) | −3.02641 | − | 1.99992i | −0.372525 | − | 0.246174i | ||||
\(67\) | −6.55823 | + | 6.55823i | −0.801215 | + | 0.801215i | −0.983285 | − | 0.182071i | \(-0.941720\pi\) |
0.182071 | + | 0.983285i | \(0.441720\pi\) | |||||||
\(68\) | −10.2127 | − | 4.10866i | −1.23847 | − | 0.498248i | ||||
\(69\) | − | 1.95710i | − | 0.235607i | ||||||
\(70\) | 2.80902 | + | 8.07821i | 0.335742 | + | 0.965531i | ||||
\(71\) | − | 7.24112i | − | 0.859363i | −0.902980 | − | 0.429682i | \(-0.858626\pi\) | ||
0.902980 | − | 0.429682i | \(-0.141374\pi\) | |||||||
\(72\) | 6.50260 | − | 4.49034i | 0.766339 | − | 0.529191i | ||||
\(73\) | −3.34075 | + | 3.34075i | −0.391005 | + | 0.391005i | −0.875046 | − | 0.484040i | \(-0.839169\pi\) |
0.484040 | + | 0.875046i | \(0.339169\pi\) | |||||||
\(74\) | 4.26977 | − | 6.46127i | 0.496351 | − | 0.751107i | ||||
\(75\) | 1.12591 | − | 1.97101i | 0.130009 | − | 0.227592i | ||||
\(76\) | 1.83985 | − | 0.784178i | 0.211046 | − | 0.0899514i | ||||
\(77\) | −10.8054 | − | 10.8054i | −1.23139 | − | 1.23139i | ||||
\(78\) | −0.364189 | − | 1.78331i | −0.0412363 | − | 0.201920i | ||||
\(79\) | 13.0319 | 1.46620 | 0.733100 | − | 0.680121i | \(-0.238073\pi\) | ||||
0.733100 | + | 0.680121i | \(0.238073\pi\) | |||||||
\(80\) | 8.83896 | − | 1.36847i | 0.988226 | − | 0.153000i | ||||
\(81\) | −7.18756 | −0.798618 | ||||||||
\(82\) | 0.0157235 | + | 0.0769927i | 0.00173637 | + | 0.00850242i | ||||
\(83\) | 4.60217 | + | 4.60217i | 0.505154 | + | 0.505154i | 0.913035 | − | 0.407881i | \(-0.133732\pi\) |
−0.407881 | + | 0.913035i | \(0.633732\pi\) | |||||||
\(84\) | −2.25905 | + | 0.962847i | −0.246483 | + | 0.105055i | ||||
\(85\) | 1.63450 | + | 12.1985i | 0.177286 | + | 1.32311i | ||||
\(86\) | −2.18162 | + | 3.30136i | −0.235250 | + | 0.355994i | ||||
\(87\) | −2.75040 | + | 2.75040i | −0.294874 | + | 0.294874i | ||||
\(88\) | −13.1501 | + | 9.08074i | −1.40181 | + | 0.968010i | ||||
\(89\) | 4.22554i | 0.447906i | 0.974600 | + | 0.223953i | \(0.0718962\pi\) | ||||
−0.974600 | + | 0.223953i | \(0.928104\pi\) | |||||||
\(90\) | −7.95264 | − | 3.84891i | −0.838282 | − | 0.405711i | ||||
\(91\) | − | 7.66735i | − | 0.803757i | ||||||
\(92\) | −7.99883 | − | 3.21801i | −0.833935 | − | 0.335501i | ||||
\(93\) | −1.15155 | + | 1.15155i | −0.119410 | + | 0.119410i | ||||
\(94\) | −7.91506 | − | 5.23047i | −0.816376 | − | 0.539482i | ||||
\(95\) | −1.77712 | − | 1.35715i | −0.182328 | − | 0.139241i | ||||
\(96\) | 0.565089 | + | 2.50518i | 0.0576742 | + | 0.255684i | ||||
\(97\) | −3.74804 | − | 3.74804i | −0.380556 | − | 0.380556i | 0.490747 | − | 0.871302i | \(-0.336724\pi\) |
−0.871302 | + | 0.490747i | \(0.836724\pi\) | |||||||
\(98\) | −0.436209 | + | 0.0890829i | −0.0440637 | + | 0.00899873i | ||||
\(99\) | 15.7857 | 1.58652 | ||||||||
\(100\) | −6.20436 | − | 7.84257i | −0.620436 | − | 0.784257i | ||||
\(101\) | −2.63822 | −0.262513 | −0.131256 | − | 0.991348i | \(-0.541901\pi\) | ||||
−0.131256 | + | 0.991348i | \(0.541901\pi\) | |||||||
\(102\) | −3.46232 | + | 0.707079i | −0.342821 | + | 0.0700112i | ||||
\(103\) | −6.61857 | − | 6.61857i | −0.652147 | − | 0.652147i | 0.301363 | − | 0.953510i | \(-0.402559\pi\) |
−0.953510 | + | 0.301363i | \(0.902559\pi\) | |||||||
\(104\) | −7.88736 | − | 1.44379i | −0.773420 | − | 0.141575i | ||||
\(105\) | 2.18202 | + | 1.66637i | 0.212943 | + | 0.162621i | ||||
\(106\) | 13.2686 | + | 8.76821i | 1.28876 | + | 0.851643i | ||||
\(107\) | 6.65655 | − | 6.65655i | 0.643513 | − | 0.643513i | −0.307904 | − | 0.951417i | \(-0.599628\pi\) |
0.951417 | + | 0.307904i | \(0.0996277\pi\) | |||||||
\(108\) | 1.96349 | − | 4.88052i | 0.188936 | − | 0.469628i | ||||
\(109\) | 0.604648i | 0.0579148i | 0.999581 | + | 0.0289574i | \(0.00921871\pi\) | ||||
−0.999581 | + | 0.0289574i | \(0.990781\pi\) | |||||||
\(110\) | 16.0825 | + | 7.78360i | 1.53341 | + | 0.742137i | ||||
\(111\) | − | 2.48614i | − | 0.235974i | ||||||
\(112\) | 0.220728 | + | 10.8161i | 0.0208568 | + | 1.02203i | ||||
\(113\) | 3.55461 | − | 3.55461i | 0.334389 | − | 0.334389i | −0.519861 | − | 0.854251i | \(-0.674016\pi\) |
0.854251 | + | 0.519861i | \(0.174016\pi\) | |||||||
\(114\) | 0.353965 | − | 0.535642i | 0.0331519 | − | 0.0501674i | ||||
\(115\) | 1.28018 | + | 9.55417i | 0.119377 | + | 0.890931i | ||||
\(116\) | 6.71870 | + | 15.7636i | 0.623816 | + | 1.46361i | ||||
\(117\) | 5.60066 | + | 5.60066i | 0.517781 | + | 0.517781i | ||||
\(118\) | 2.36207 | + | 11.5663i | 0.217447 | + | 1.06476i | ||||
\(119\) | −14.8863 | −1.36462 | ||||||||
\(120\) | 2.12506 | − | 1.93085i | 0.193991 | − | 0.176262i | ||||
\(121\) | −20.9231 | −1.90210 | ||||||||
\(122\) | −3.41651 | − | 16.7295i | −0.309316 | − | 1.51462i | ||||
\(123\) | 0.0178375 | + | 0.0178375i | 0.00160835 | + | 0.00160835i | ||||
\(124\) | 2.81301 | + | 6.59995i | 0.252616 | + | 0.592693i | ||||
\(125\) | −4.20720 | + | 10.3585i | −0.376303 | + | 0.926497i | ||||
\(126\) | 5.89159 | − | 8.91550i | 0.524864 | − | 0.794256i | ||||
\(127\) | 8.47034 | − | 8.47034i | 0.751621 | − | 0.751621i | −0.223161 | − | 0.974782i | \(-0.571637\pi\) |
0.974782 | + | 0.223161i | \(0.0716374\pi\) | |||||||
\(128\) | 11.1680 | + | 1.80965i | 0.987125 | + | 0.159952i | ||||
\(129\) | 1.27028i | 0.111842i | ||||||||
\(130\) | 2.94440 | + | 8.46754i | 0.258241 | + | 0.742653i | ||||
\(131\) | − | 0.0987163i | − | 0.00862489i | −0.999991 | − | 0.00431244i | \(-0.998627\pi\) | ||
0.999991 | − | 0.00431244i | \(-0.00137270\pi\) | |||||||
\(132\) | −1.91474 | + | 4.75935i | −0.166657 | + | 0.414248i | ||||
\(133\) | 1.91243 | − | 1.91243i | 0.165829 | − | 0.165829i | ||||
\(134\) | 10.9430 | + | 7.23138i | 0.945328 | + | 0.624696i | ||||
\(135\) | −5.82952 | + | 0.781108i | −0.501725 | + | 0.0672270i | ||||
\(136\) | −2.80313 | + | 15.3134i | −0.240367 | + | 1.31312i | ||||
\(137\) | −10.4246 | − | 10.4246i | −0.890634 | − | 0.890634i | 0.103949 | − | 0.994583i | \(-0.466852\pi\) |
−0.994583 | + | 0.103949i | \(0.966852\pi\) | |||||||
\(138\) | −2.71179 | + | 0.553803i | −0.230843 | + | 0.0471428i | ||||
\(139\) | 8.14601 | 0.690935 | 0.345468 | − | 0.938431i | \(-0.387720\pi\) | ||||
0.345468 | + | 0.938431i | \(0.387720\pi\) | |||||||
\(140\) | 10.3984 | − | 6.17812i | 0.878827 | − | 0.522146i | ||||
\(141\) | −3.04552 | −0.256479 | ||||||||
\(142\) | −10.0334 | + | 2.04903i | −0.841985 | + | 0.171951i | ||||
\(143\) | −11.3261 | − | 11.3261i | −0.947139 | − | 0.947139i | ||||
\(144\) | −8.06192 | − | 7.73946i | −0.671827 | − | 0.644955i | ||||
\(145\) | 11.6278 | − | 15.2260i | 0.965639 | − | 1.26445i | ||||
\(146\) | 5.57433 | + | 3.68366i | 0.461335 | + | 0.304862i | ||||
\(147\) | −0.101060 | + | 0.101060i | −0.00833526 | + | 0.00833526i | ||||
\(148\) | −10.1611 | − | 4.08790i | −0.835233 | − | 0.336023i | ||||
\(149\) | − | 20.1596i | − | 1.65154i | −0.564009 | − | 0.825769i | \(-0.690742\pi\) | ||
0.564009 | − | 0.825769i | \(-0.309258\pi\) | |||||||
\(150\) | −3.04966 | − | 1.00234i | −0.249003 | − | 0.0818408i | ||||
\(151\) | − | 4.29284i | − | 0.349346i | −0.984626 | − | 0.174673i | \(-0.944113\pi\) | ||
0.984626 | − | 0.174673i | \(-0.0558869\pi\) | |||||||
\(152\) | −1.60719 | − | 2.32743i | −0.130361 | − | 0.188779i | ||||
\(153\) | 10.8738 | − | 10.8738i | 0.879092 | − | 0.879092i | ||||
\(154\) | −11.9145 | + | 18.0297i | −0.960095 | + | 1.45287i | ||||
\(155\) | 4.86839 | − | 6.37489i | 0.391038 | − | 0.512044i | ||||
\(156\) | −2.36793 | + | 1.00925i | −0.189586 | + | 0.0808048i | ||||
\(157\) | −0.932967 | − | 0.932967i | −0.0744589 | − | 0.0744589i | 0.668897 | − | 0.743355i | \(-0.266767\pi\) |
−0.743355 | + | 0.668897i | \(0.766767\pi\) | |||||||
\(158\) | −3.68764 | − | 18.0571i | −0.293373 | − | 1.43655i | ||||
\(159\) | 5.10542 | 0.404886 | ||||||||
\(160\) | −4.39734 | − | 11.8602i | −0.347641 | − | 0.937628i | ||||
\(161\) | −11.6593 | −0.918884 | ||||||||
\(162\) | 2.03387 | + | 9.95919i | 0.159796 | + | 0.782468i | ||||
\(163\) | −1.46169 | − | 1.46169i | −0.114488 | − | 0.114488i | 0.647542 | − | 0.762030i | \(-0.275797\pi\) |
−0.762030 | + | 0.647542i | \(0.775797\pi\) | |||||||
\(164\) | 0.102233 | − | 0.0435735i | 0.00798305 | − | 0.00340252i | ||||
\(165\) | 5.68479 | − | 0.761715i | 0.442560 | − | 0.0592995i | ||||
\(166\) | 5.07455 | − | 7.67912i | 0.393862 | − | 0.596015i | ||||
\(167\) | 8.67695 | − | 8.67695i | 0.671442 | − | 0.671442i | −0.286606 | − | 0.958049i | \(-0.592527\pi\) |
0.958049 | + | 0.286606i | \(0.0925271\pi\) | |||||||
\(168\) | 1.97338 | + | 2.85772i | 0.152250 | + | 0.220478i | ||||
\(169\) | 4.96312i | 0.381778i | ||||||||
\(170\) | 16.4399 | − | 5.71660i | 1.26088 | − | 0.438443i | ||||
\(171\) | 2.79390i | 0.213655i | ||||||||
\(172\) | 5.19174 | + | 2.08869i | 0.395867 | + | 0.159261i | ||||
\(173\) | 6.45817 | − | 6.45817i | 0.491005 | − | 0.491005i | −0.417617 | − | 0.908623i | \(-0.637135\pi\) |
0.908623 | + | 0.417617i | \(0.137135\pi\) | |||||||
\(174\) | 4.58928 | + | 3.03271i | 0.347913 | + | 0.229909i | ||||
\(175\) | −11.7422 | − | 6.70756i | −0.887626 | − | 0.507044i | ||||
\(176\) | 16.3035 | + | 15.6514i | 1.22892 | + | 1.17977i | ||||
\(177\) | 2.67964 | + | 2.67964i | 0.201414 | + | 0.201414i | ||||
\(178\) | 5.85497 | − | 1.19571i | 0.438848 | − | 0.0896219i | ||||
\(179\) | 23.2404 | 1.73707 | 0.868535 | − | 0.495627i | \(-0.165062\pi\) | ||||
0.868535 | + | 0.495627i | \(0.165062\pi\) | |||||||
\(180\) | −3.08274 | + | 12.1084i | −0.229774 | + | 0.902509i | ||||
\(181\) | 7.16494 | 0.532566 | 0.266283 | − | 0.963895i | \(-0.414204\pi\) | ||||
0.266283 | + | 0.963895i | \(0.414204\pi\) | |||||||
\(182\) | −10.6240 | + | 2.16964i | −0.787503 | + | 0.160824i | ||||
\(183\) | −3.87584 | − | 3.87584i | −0.286510 | − | 0.286510i | ||||
\(184\) | −2.19549 | + | 11.9939i | −0.161854 | + | 0.884202i | ||||
\(185\) | 1.62624 | + | 12.1368i | 0.119563 | + | 0.892318i | ||||
\(186\) | 1.92146 | + | 1.26975i | 0.140888 | + | 0.0931025i | ||||
\(187\) | −21.9899 | + | 21.9899i | −1.60806 | + | 1.60806i | ||||
\(188\) | −5.00768 | + | 12.4473i | −0.365223 | + | 0.907813i | ||||
\(189\) | − | 7.11399i | − | 0.517467i | ||||||
\(190\) | −1.37761 | + | 2.84643i | −0.0999427 | + | 0.206502i | ||||
\(191\) | − | 19.7928i | − | 1.43215i | −0.698022 | − | 0.716077i | \(-0.745936\pi\) | ||
0.698022 | − | 0.716077i | \(-0.254064\pi\) | |||||||
\(192\) | 3.31131 | − | 1.49189i | 0.238973 | − | 0.107668i | ||||
\(193\) | 4.77524 | − | 4.77524i | 0.343730 | − | 0.343730i | −0.514038 | − | 0.857767i | \(-0.671851\pi\) |
0.857767 | + | 0.514038i | \(0.171851\pi\) | |||||||
\(194\) | −4.13275 | + | 6.25392i | −0.296714 | + | 0.449005i | ||||
\(195\) | 2.28718 | + | 1.74668i | 0.163788 | + | 0.125082i | ||||
\(196\) | 0.246869 | + | 0.579209i | 0.0176335 | + | 0.0413721i | ||||
\(197\) | 12.5130 | + | 12.5130i | 0.891516 | + | 0.891516i | 0.994666 | − | 0.103150i | \(-0.0328923\pi\) |
−0.103150 | + | 0.994666i | \(0.532892\pi\) | |||||||
\(198\) | −4.46689 | − | 21.8729i | −0.317448 | − | 1.55444i | ||||
\(199\) | 15.8810 | 1.12577 | 0.562886 | − | 0.826534i | \(-0.309691\pi\) | ||||
0.562886 | + | 0.826534i | \(0.309691\pi\) | |||||||
\(200\) | −9.11113 | + | 10.8161i | −0.644254 | + | 0.764812i | ||||
\(201\) | 4.21058 | 0.296992 | ||||||||
\(202\) | 0.746541 | + | 3.65556i | 0.0525264 | + | 0.257204i | ||||
\(203\) | 16.3854 | + | 16.3854i | 1.15003 | + | 1.15003i | ||||
\(204\) | 1.95948 | + | 4.59736i | 0.137191 | + | 0.321880i | ||||
\(205\) | −0.0987468 | − | 0.0754111i | −0.00689678 | − | 0.00526694i | ||||
\(206\) | −7.29792 | + | 11.0436i | −0.508470 | + | 0.769447i | ||||
\(207\) | 8.51663 | − | 8.51663i | 0.591946 | − | 0.591946i | ||||
\(208\) | 0.231366 | + | 11.3374i | 0.0160424 | + | 0.786107i | ||||
\(209\) | − | 5.65006i | − | 0.390823i | ||||||
\(210\) | 1.69149 | − | 3.49497i | 0.116724 | − | 0.241176i | ||||
\(211\) | 10.7864i | 0.742568i | 0.928519 | + | 0.371284i | \(0.121082\pi\) | ||||
−0.928519 | + | 0.371284i | \(0.878918\pi\) | |||||||
\(212\) | 8.39473 | − | 20.8663i | 0.576552 | − | 1.43310i | ||||
\(213\) | −2.32451 | + | 2.32451i | −0.159273 | + | 0.159273i | ||||
\(214\) | −11.1070 | − | 7.33980i | −0.759260 | − | 0.501738i | ||||
\(215\) | −0.830917 | − | 6.20126i | −0.0566681 | − | 0.422922i | ||||
\(216\) | −7.31813 | − | 1.33959i | −0.497935 | − | 0.0911473i | ||||
\(217\) | 6.86031 | + | 6.86031i | 0.465708 | + | 0.465708i | ||||
\(218\) | 0.837809 | − | 0.171098i | 0.0567436 | − | 0.0115882i | ||||
\(219\) | 2.14486 | 0.144937 | ||||||||
\(220\) | 6.23418 | − | 24.4867i | 0.420308 | − | 1.65089i | ||||
\(221\) | −15.6037 | −1.04962 | ||||||||
\(222\) | −3.44483 | + | 0.703506i | −0.231202 | + | 0.0472162i | ||||
\(223\) | 14.8860 | + | 14.8860i | 0.996843 | + | 0.996843i | 0.999995 | − | 0.00315185i | \(-0.00100327\pi\) |
−0.00315185 | + | 0.999995i | \(0.501003\pi\) | |||||||
\(224\) | 14.9245 | − | 3.36649i | 0.997185 | − | 0.224933i | ||||
\(225\) | 13.4767 | − | 3.67757i | 0.898448 | − | 0.245171i | ||||
\(226\) | −5.93117 | − | 3.91946i | −0.394535 | − | 0.260719i | ||||
\(227\) | −16.9491 | + | 16.9491i | −1.12495 | + | 1.12495i | −0.133963 | + | 0.990986i | \(0.542770\pi\) |
−0.990986 | + | 0.133963i | \(0.957230\pi\) | |||||||
\(228\) | −0.842355 | − | 0.338888i | −0.0557863 | − | 0.0224434i | ||||
\(229\) | 12.2209i | 0.807580i | 0.914852 | + | 0.403790i | \(0.132307\pi\) | ||||
−0.914852 | + | 0.403790i | \(0.867693\pi\) | |||||||
\(230\) | 12.8761 | − | 4.47739i | 0.849028 | − | 0.295230i | ||||
\(231\) | 6.93738i | 0.456446i | ||||||||
\(232\) | 19.9410 | − | 13.7702i | 1.30919 | − | 0.904055i | ||||
\(233\) | 13.3876 | − | 13.3876i | 0.877051 | − | 0.877051i | −0.116178 | − | 0.993228i | \(-0.537064\pi\) |
0.993228 | + | 0.116178i | \(0.0370642\pi\) | |||||||
\(234\) | 6.17553 | − | 9.34518i | 0.403707 | − | 0.610914i | ||||
\(235\) | 14.8676 | − | 1.99214i | 0.969857 | − | 0.129953i | ||||
\(236\) | 15.3580 | − | 6.54585i | 0.999721 | − | 0.426098i | ||||
\(237\) | −4.18343 | − | 4.18343i | −0.271743 | − | 0.271743i | ||||
\(238\) | 4.21239 | + | 20.6266i | 0.273049 | + | 1.33703i | ||||
\(239\) | −25.0913 | −1.62302 | −0.811511 | − | 0.584338i | \(-0.801354\pi\) | ||||
−0.811511 | + | 0.584338i | \(0.801354\pi\) | |||||||
\(240\) | −3.27674 | − | 2.39814i | −0.211513 | − | 0.154800i | ||||
\(241\) | 20.2239 | 1.30274 | 0.651369 | − | 0.758761i | \(-0.274195\pi\) | ||||
0.651369 | + | 0.758761i | \(0.274195\pi\) | |||||||
\(242\) | 5.92064 | + | 28.9914i | 0.380593 | + | 1.86364i | ||||
\(243\) | 7.88711 | + | 7.88711i | 0.505958 | + | 0.505958i | ||||
\(244\) | −22.2138 | + | 9.46792i | −1.42209 | + | 0.606121i | ||||
\(245\) | 0.427248 | − | 0.559459i | 0.0272959 | − | 0.0357425i | ||||
\(246\) | 0.0196684 | − | 0.0297633i | 0.00125401 | − | 0.00189764i | ||||
\(247\) | 2.00460 | − | 2.00460i | 0.127550 | − | 0.127550i | ||||
\(248\) | 8.34898 | − | 5.76535i | 0.530161 | − | 0.366100i | ||||
\(249\) | − | 2.95474i | − | 0.187249i | ||||||
\(250\) | 15.5435 | + | 2.89838i | 0.983055 | + | 0.183310i | ||||
\(251\) | − | 14.1483i | − | 0.893034i | −0.894775 | − | 0.446517i | \(-0.852664\pi\) | ||
0.894775 | − | 0.446517i | \(-0.147336\pi\) | |||||||
\(252\) | −14.0206 | − | 5.64064i | −0.883214 | − | 0.355327i | ||||
\(253\) | −17.2230 | + | 17.2230i | −1.08280 | + | 1.08280i | ||||
\(254\) | −14.1335 | − | 9.33976i | −0.886814 | − | 0.586029i | ||||
\(255\) | 3.39120 | − | 4.44060i | 0.212365 | − | 0.278081i | ||||
\(256\) | −0.652763 | − | 15.9867i | −0.0407977 | − | 0.999167i | ||||
\(257\) | 1.76563 | + | 1.76563i | 0.110137 | + | 0.110137i | 0.760028 | − | 0.649891i | \(-0.225185\pi\) |
−0.649891 | + | 0.760028i | \(0.725185\pi\) | |||||||
\(258\) | 1.76012 | − | 0.359453i | 0.109580 | − | 0.0223786i | ||||
\(259\) | −14.8111 | −0.920314 | ||||||||
\(260\) | 10.8996 | − | 6.47587i | 0.675963 | − | 0.401617i | ||||
\(261\) | −23.9376 | −1.48170 | ||||||||
\(262\) | −0.136783 | + | 0.0279339i | −0.00845047 | + | 0.00172576i | ||||
\(263\) | −1.92483 | − | 1.92483i | −0.118690 | − | 0.118690i | 0.645267 | − | 0.763957i | \(-0.276746\pi\) |
−0.763957 | + | 0.645267i | \(0.776746\pi\) | |||||||
\(264\) | 7.13644 | + | 1.30633i | 0.439218 | + | 0.0803990i | ||||
\(265\) | −24.9237 | + | 3.33956i | −1.53105 | + | 0.205148i | ||||
\(266\) | −3.19106 | − | 2.10873i | −0.195657 | − | 0.129295i | ||||
\(267\) | 1.35646 | − | 1.35646i | 0.0830142 | − | 0.0830142i | ||||
\(268\) | 6.92336 | − | 17.2090i | 0.422912 | − | 1.05121i | ||||
\(269\) | − | 2.85728i | − | 0.174211i | −0.996199 | − | 0.0871056i | \(-0.972238\pi\) | ||
0.996199 | − | 0.0871056i | \(-0.0277618\pi\) | |||||||
\(270\) | 2.73190 | + | 7.85643i | 0.166258 | + | 0.478127i | ||||
\(271\) | − | 23.3292i | − | 1.41715i | −0.705637 | − | 0.708573i | \(-0.749339\pi\) | ||
0.705637 | − | 0.708573i | \(-0.250661\pi\) | |||||||
\(272\) | 22.0117 | − | 0.449201i | 1.33466 | − | 0.0272368i | ||||
\(273\) | −2.46134 | + | 2.46134i | −0.148967 | + | 0.148967i | ||||
\(274\) | −11.4946 | + | 17.3943i | −0.694415 | + | 1.05083i | ||||
\(275\) | −27.2538 | + | 7.43709i | −1.64346 | + | 0.448473i | ||||
\(276\) | 1.53471 | + | 3.60078i | 0.0923790 | + | 0.216741i | ||||
\(277\) | −10.1512 | − | 10.1512i | −0.609928 | − | 0.609928i | 0.332999 | − | 0.942927i | \(-0.391939\pi\) |
−0.942927 | + | 0.332999i | \(0.891939\pi\) | |||||||
\(278\) | −2.30509 | − | 11.2872i | −0.138250 | − | 0.676963i | ||||
\(279\) | −10.0223 | −0.600020 | ||||||||
\(280\) | −11.5029 | − | 12.6600i | −0.687432 | − | 0.756578i | ||||
\(281\) | −2.12728 | −0.126903 | −0.0634515 | − | 0.997985i | \(-0.520211\pi\) | ||||
−0.0634515 | + | 0.997985i | \(0.520211\pi\) | |||||||
\(282\) | 0.861795 | + | 4.21992i | 0.0513192 | + | 0.251293i | ||||
\(283\) | 15.7907 | + | 15.7907i | 0.938660 | + | 0.938660i | 0.998224 | − | 0.0595643i | \(-0.0189711\pi\) |
−0.0595643 | + | 0.998224i | \(0.518971\pi\) | |||||||
\(284\) | 5.67833 | + | 13.3226i | 0.336947 | + | 0.790552i | ||||
\(285\) | 0.134816 | + | 1.00615i | 0.00798578 | + | 0.0595991i | ||||
\(286\) | −12.4887 | + | 18.8986i | −0.738471 | + | 1.11750i | ||||
\(287\) | 0.106266 | − | 0.106266i | 0.00627268 | − | 0.00627268i | ||||
\(288\) | −8.44262 | + | 13.3608i | −0.497486 | + | 0.787291i | ||||
\(289\) | 13.2949i | 0.782051i | ||||||||
\(290\) | −24.3877 | − | 11.8032i | −1.43210 | − | 0.693105i | ||||
\(291\) | 2.40636i | 0.141063i | ||||||||
\(292\) | 3.52675 | − | 8.76624i | 0.206388 | − | 0.513005i | ||||
\(293\) | −5.98202 | + | 5.98202i | −0.349473 | + | 0.349473i | −0.859913 | − | 0.510440i | \(-0.829482\pi\) |
0.510440 | + | 0.859913i | \(0.329482\pi\) | |||||||
\(294\) | 0.168627 | + | 0.111433i | 0.00983451 | + | 0.00649889i | ||||
\(295\) | −14.8343 | − | 11.3287i | −0.863686 | − | 0.659581i | ||||
\(296\) | −2.78897 | + | 15.2361i | −0.162106 | + | 0.885578i | ||||
\(297\) | −10.5087 | − | 10.5087i | −0.609777 | − | 0.609777i | ||||
\(298\) | −27.9334 | + | 5.70458i | −1.61814 | + | 0.330458i | ||||
\(299\) | −12.2213 | −0.706773 | ||||||||
\(300\) | −0.525893 | + | 4.50928i | −0.0303624 | + | 0.260343i | ||||
\(301\) | 7.56764 | 0.436191 | ||||||||
\(302\) | −5.94822 | + | 1.21475i | −0.342282 | + | 0.0699010i | ||||
\(303\) | 0.846910 | + | 0.846910i | 0.0486537 | + | 0.0486537i | ||||
\(304\) | −2.77013 | + | 2.88555i | −0.158878 | + | 0.165497i | ||||
\(305\) | 21.4563 | + | 16.3858i | 1.22859 | + | 0.938249i | ||||
\(306\) | −18.1438 | − | 11.9899i | −1.03721 | − | 0.685416i | ||||
\(307\) | 12.9642 | − | 12.9642i | 0.739909 | − | 0.739909i | −0.232651 | − | 0.972560i | \(-0.574740\pi\) |
0.972560 | + | 0.232651i | \(0.0747401\pi\) | |||||||
\(308\) | 28.3536 | + | 11.4070i | 1.61560 | + | 0.649972i | ||||
\(309\) | 4.24932i | 0.241736i | ||||||||
\(310\) | −10.2108 | − | 4.94179i | −0.579932 | − | 0.280675i | ||||
\(311\) | − | 0.353348i | − | 0.0200365i | −0.999950 | − | 0.0100183i | \(-0.996811\pi\) | ||
0.999950 | − | 0.0100183i | \(-0.00318896\pi\) | |||||||
\(312\) | 2.06849 | + | 2.99544i | 0.117105 | + | 0.169584i | ||||
\(313\) | 8.56622 | − | 8.56622i | 0.484191 | − | 0.484191i | −0.422276 | − | 0.906467i | \(-0.638769\pi\) |
0.906467 | + | 0.422276i | \(0.138769\pi\) | |||||||
\(314\) | −1.02873 | + | 1.55674i | −0.0580546 | + | 0.0878517i | ||||
\(315\) | 2.24394 | + | 16.7469i | 0.126432 | + | 0.943578i | ||||
\(316\) | −23.9767 | + | 10.2193i | −1.34880 | + | 0.574881i | ||||
\(317\) | −3.15859 | − | 3.15859i | −0.177404 | − | 0.177404i | 0.612819 | − | 0.790223i | \(-0.290035\pi\) |
−0.790223 | + | 0.612819i | \(0.790035\pi\) | |||||||
\(318\) | −1.44469 | − | 7.07415i | −0.0810140 | − | 0.396698i | ||||
\(319\) | 48.4087 | 2.71037 | ||||||||
\(320\) | −15.1893 | + | 9.44911i | −0.849107 | + | 0.528221i | ||||
\(321\) | −4.27371 | −0.238535 | ||||||||
\(322\) | 3.29926 | + | 16.1553i | 0.183860 | + | 0.900302i | ||||
\(323\) | −3.89197 | − | 3.89197i | −0.216555 | − | 0.216555i | ||||
\(324\) | 13.2241 | − | 5.63633i | 0.734670 | − | 0.313129i | ||||
\(325\) | −12.3081 | − | 7.03084i | −0.682731 | − | 0.390001i | ||||
\(326\) | −1.61172 | + | 2.43895i | −0.0892650 | + | 0.135081i | ||||
\(327\) | 0.194101 | − | 0.194101i | 0.0107338 | − | 0.0107338i | ||||
\(328\) | −0.0893050 | − | 0.129325i | −0.00493104 | − | 0.00714080i | ||||
\(329\) | 18.1436i | 1.00029i | ||||||||
\(330\) | −2.66408 | − | 7.66139i | −0.146653 | − | 0.421745i | ||||
\(331\) | 21.2084i | 1.16572i | 0.812573 | + | 0.582859i | \(0.198066\pi\) | ||||
−0.812573 | + | 0.582859i | \(0.801934\pi\) | |||||||
\(332\) | −12.0762 | − | 4.85840i | −0.662770 | − | 0.266640i | ||||
\(333\) | 10.8188 | − | 10.8188i | 0.592868 | − | 0.592868i | ||||
\(334\) | −14.4782 | − | 9.56758i | −0.792214 | − | 0.523515i | ||||
\(335\) | −20.5552 | + | 2.75423i | −1.12305 | + | 0.150480i | ||||
\(336\) | 3.40128 | − | 3.54300i | 0.185555 | − | 0.193286i | ||||
\(337\) | 1.23960 | + | 1.23960i | 0.0675252 | + | 0.0675252i | 0.740063 | − | 0.672538i | \(-0.234796\pi\) |
−0.672538 | + | 0.740063i | \(0.734796\pi\) | |||||||
\(338\) | 6.87697 | − | 1.40442i | 0.374058 | − | 0.0763904i | ||||
\(339\) | −2.28217 | −0.123950 | ||||||||
\(340\) | −12.5730 | − | 21.1617i | −0.681867 | − | 1.14765i | ||||
\(341\) | 20.2679 | 1.09757 | ||||||||
\(342\) | 3.87127 | − | 0.790593i | 0.209334 | − | 0.0427504i | ||||
\(343\) | −12.7850 | − | 12.7850i | −0.690324 | − | 0.690324i | ||||
\(344\) | 1.42501 | − | 7.78479i | 0.0768314 | − | 0.419728i | ||||
\(345\) | 2.65608 | − | 3.47799i | 0.142998 | − | 0.187249i | ||||
\(346\) | −10.7760 | − | 7.12106i | −0.579322 | − | 0.382830i | ||||
\(347\) | −12.6644 | + | 12.6644i | −0.679859 | + | 0.679859i | −0.959968 | − | 0.280109i | \(-0.909629\pi\) |
0.280109 | + | 0.959968i | \(0.409629\pi\) | |||||||
\(348\) | 2.90354 | − | 7.21715i | 0.155646 | − | 0.386880i | ||||
\(349\) | 16.0318i | 0.858164i | 0.903266 | + | 0.429082i | \(0.141163\pi\) | ||||
−0.903266 | + | 0.429082i | \(0.858837\pi\) | |||||||
\(350\) | −5.97140 | + | 18.1682i | −0.319185 | + | 0.971130i | ||||
\(351\) | − | 7.45685i | − | 0.398017i | ||||||
\(352\) | 17.0734 | − | 27.0193i | 0.910013 | − | 1.44013i | ||||
\(353\) | −25.1710 | + | 25.1710i | −1.33972 | + | 1.33972i | −0.443387 | + | 0.896330i | \(0.646223\pi\) |
−0.896330 | + | 0.443387i | \(0.853777\pi\) | |||||||
\(354\) | 2.95469 | − | 4.47121i | 0.157040 | − | 0.237642i | ||||
\(355\) | 9.82730 | − | 12.8683i | 0.521579 | − | 0.682980i | ||||
\(356\) | −3.31357 | − | 7.77438i | −0.175619 | − | 0.412041i | ||||
\(357\) | 4.77872 | + | 4.77872i | 0.252917 | + | 0.252917i | ||||
\(358\) | −6.57637 | − | 32.2023i | −0.347572 | − | 1.70194i | ||||
\(359\) | 0.347833 | 0.0183579 | 0.00917897 | − | 0.999958i | \(-0.497078\pi\) | ||||
0.00917897 | + | 0.999958i | \(0.497078\pi\) | |||||||
\(360\) | 17.6499 | + | 0.845155i | 0.930234 | + | 0.0445436i | ||||
\(361\) | 1.00000 | 0.0526316 | ||||||||
\(362\) | −2.02747 | − | 9.92784i | −0.106562 | − | 0.521796i | ||||
\(363\) | 6.71665 | + | 6.71665i | 0.352533 | + | 0.352533i | ||||
\(364\) | 6.01257 | + | 14.1068i | 0.315144 | + | 0.739398i | ||||
\(365\) | −10.4708 | + | 1.40300i | −0.548067 | + | 0.0734365i | ||||
\(366\) | −4.27367 | + | 6.46717i | −0.223388 | + | 0.338044i | ||||
\(367\) | 4.99380 | − | 4.99380i | 0.260674 | − | 0.260674i | −0.564654 | − | 0.825328i | \(-0.690990\pi\) |
0.825328 | + | 0.564654i | \(0.190990\pi\) | |||||||
\(368\) | 17.2402 | − | 0.351826i | 0.898706 | − | 0.0183402i | ||||
\(369\) | 0.155245i | 0.00808174i | ||||||||
\(370\) | 16.3568 | − | 5.68771i | 0.850349 | − | 0.295690i | ||||
\(371\) | − | 30.4153i | − | 1.57908i | ||||||
\(372\) | 1.21566 | − | 3.02171i | 0.0630293 | − | 0.156668i | ||||
\(373\) | 14.4139 | − | 14.4139i | 0.746325 | − | 0.746325i | −0.227462 | − | 0.973787i | \(-0.573043\pi\) |
0.973787 | + | 0.227462i | \(0.0730428\pi\) | |||||||
\(374\) | 36.6920 | + | 24.2470i | 1.89730 | + | 1.25378i | ||||
\(375\) | 4.67583 | − | 1.97468i | 0.241459 | − | 0.101972i | ||||
\(376\) | 18.6642 | + | 3.41649i | 0.962532 | + | 0.176192i | ||||
\(377\) | 17.1751 | + | 17.1751i | 0.884563 | + | 0.884563i | ||||
\(378\) | −9.85725 | + | 2.01305i | −0.507002 | + | 0.103540i | ||||
\(379\) | −20.2693 | −1.04117 | −0.520583 | − | 0.853811i | \(-0.674285\pi\) | ||||
−0.520583 | + | 0.853811i | \(0.674285\pi\) | |||||||
\(380\) | 4.33388 | + | 1.10338i | 0.222324 | + | 0.0566024i | ||||
\(381\) | −5.43822 | −0.278608 | ||||||||
\(382\) | −27.4251 | + | 5.60078i | −1.40319 | + | 0.286561i | ||||
\(383\) | −21.4388 | − | 21.4388i | −1.09547 | − | 1.09547i | −0.994933 | − | 0.100539i | \(-0.967943\pi\) |
−0.100539 | − | 0.994933i | \(-0.532057\pi\) | |||||||
\(384\) | −3.00419 | − | 4.16604i | −0.153307 | − | 0.212597i | ||||
\(385\) | −4.53788 | − | 33.8669i | −0.231272 | − | 1.72602i | ||||
\(386\) | −7.96790 | − | 5.26539i | −0.405556 | − | 0.268001i | ||||
\(387\) | −5.52783 | + | 5.52783i | −0.280995 | + | 0.280995i | ||||
\(388\) | 9.83497 | + | 3.95672i | 0.499295 | + | 0.200872i | ||||
\(389\) | 0.701293i | 0.0355570i | 0.999842 | + | 0.0177785i | \(0.00565937\pi\) | ||||
−0.999842 | + | 0.0177785i | \(0.994341\pi\) | |||||||
\(390\) | 1.77301 | − | 3.66341i | 0.0897801 | − | 0.185504i | ||||
\(391\) | 23.7278i | 1.19996i | ||||||||
\(392\) | 0.732704 | − | 0.505965i | 0.0370071 | − | 0.0255551i | ||||
\(393\) | −0.0316895 | + | 0.0316895i | −0.00159852 | + | 0.00159852i | ||||
\(394\) | 13.7974 | − | 20.8790i | 0.695103 | − | 1.05187i | ||||
\(395\) | 23.1592 | + | 17.6862i | 1.16526 | + | 0.889890i | ||||
\(396\) | −29.0434 | + | 12.3788i | −1.45948 | + | 0.622057i | ||||
\(397\) | 5.76351 | + | 5.76351i | 0.289262 | + | 0.289262i | 0.836789 | − | 0.547526i | \(-0.184430\pi\) |
−0.547526 | + | 0.836789i | \(0.684430\pi\) | |||||||
\(398\) | −4.49386 | − | 22.0049i | −0.225257 | − | 1.10301i | ||||
\(399\) | −1.22784 | −0.0614690 | ||||||||
\(400\) | 17.5651 | + | 9.56387i | 0.878254 | + | 0.478194i | ||||
\(401\) | −9.38653 | −0.468741 | −0.234370 | − | 0.972147i | \(-0.575303\pi\) | ||||
−0.234370 | + | 0.972147i | \(0.575303\pi\) | |||||||
\(402\) | −1.19147 | − | 5.83424i | −0.0594253 | − | 0.290986i | ||||
\(403\) | 7.19094 | + | 7.19094i | 0.358206 | + | 0.358206i | ||||
\(404\) | 4.85394 | − | 2.06884i | 0.241493 | − | 0.102928i | ||||
\(405\) | −12.7731 | − | 9.75460i | −0.634702 | − | 0.484710i | ||||
\(406\) | 18.0673 | − | 27.3405i | 0.896663 | − | 1.35688i | ||||
\(407\) | −21.8787 | + | 21.8787i | −1.08449 | + | 1.08449i | ||||
\(408\) | 5.81570 | − | 4.01600i | 0.287920 | − | 0.198822i | ||||
\(409\) | − | 35.3014i | − | 1.74554i | −0.488128 | − | 0.872772i | \(-0.662320\pi\) | ||
0.488128 | − | 0.872772i | \(-0.337680\pi\) | |||||||
\(410\) | −0.0765482 | + | 0.158164i | −0.00378045 | + | 0.00781117i | ||||
\(411\) | 6.69292i | 0.330137i | ||||||||
\(412\) | 17.3673 | + | 6.98707i | 0.855627 | + | 0.344228i | ||||
\(413\) | 15.9639 | − | 15.9639i | 0.785530 | − | 0.785530i | ||||
\(414\) | −14.2107 | − | 9.39080i | −0.698419 | − | 0.461533i | ||||
\(415\) | 1.93275 | + | 14.4244i | 0.0948752 | + | 0.708067i | ||||
\(416\) | 15.6438 | − | 3.52874i | 0.767000 | − | 0.173011i | ||||
\(417\) | −2.61499 | − | 2.61499i | −0.128057 | − | 0.128057i | ||||
\(418\) | −7.82880 | + | 1.59880i | −0.382919 | + | 0.0782000i | ||||
\(419\) | −20.7626 | −1.01432 | −0.507160 | − | 0.861852i | \(-0.669305\pi\) | ||||
−0.507160 | + | 0.861852i | \(0.669305\pi\) | |||||||
\(420\) | −5.32132 | − | 1.35478i | −0.259654 | − | 0.0661065i | ||||
\(421\) | −7.87092 | −0.383605 | −0.191803 | − | 0.981434i | \(-0.561433\pi\) | ||||
−0.191803 | + | 0.981434i | \(0.561433\pi\) | |||||||
\(422\) | 14.9458 | − | 3.05225i | 0.727552 | − | 0.148581i | ||||
\(423\) | −13.2531 | − | 13.2531i | −0.644386 | − | 0.644386i | ||||
\(424\) | −31.2881 | − | 5.72730i | −1.51948 | − | 0.278142i | ||||
\(425\) | −13.6505 | + | 23.8964i | −0.662145 | + | 1.15914i | ||||
\(426\) | 3.87865 | + | 2.56311i | 0.187921 | + | 0.124183i | ||||
\(427\) | −23.0901 | + | 23.0901i | −1.11741 | + | 1.11741i | ||||
\(428\) | −7.02716 | + | 17.4670i | −0.339671 | + | 0.844299i | ||||
\(429\) | 7.27172i | 0.351082i | ||||||||
\(430\) | −8.35743 | + | 2.90611i | −0.403031 | + | 0.140145i | ||||
\(431\) | 22.8584i | 1.10105i | 0.834819 | + | 0.550525i | \(0.185572\pi\) | ||||
−0.834819 | + | 0.550525i | \(0.814428\pi\) | |||||||
\(432\) | 0.214668 | + | 10.5192i | 0.0103282 | + | 0.506104i | ||||
\(433\) | −0.545440 | + | 0.545440i | −0.0262122 | + | 0.0262122i | −0.720091 | − | 0.693879i | \(-0.755900\pi\) |
0.693879 | + | 0.720091i | \(0.255900\pi\) | |||||||
\(434\) | 7.56447 | − | 11.4470i | 0.363106 | − | 0.549474i | ||||
\(435\) | −8.62050 | + | 1.15508i | −0.413321 | + | 0.0553817i | ||||
\(436\) | −0.474152 | − | 1.11246i | −0.0227077 | − | 0.0532774i | ||||
\(437\) | −3.04830 | − | 3.04830i | −0.145820 | − | 0.145820i | ||||
\(438\) | −0.606935 | − | 2.97196i | −0.0290005 | − | 0.142006i | ||||
\(439\) | −3.55487 | −0.169665 | −0.0848324 | − | 0.996395i | \(-0.527035\pi\) | ||||
−0.0848324 | + | 0.996395i | \(0.527035\pi\) | |||||||
\(440\) | −35.6932 | − | 1.70914i | −1.70161 | − | 0.0814802i | ||||
\(441\) | −0.879554 | −0.0418835 | ||||||||
\(442\) | 4.41541 | + | 21.6207i | 0.210019 | + | 1.02839i | ||||
\(443\) | 12.5438 | + | 12.5438i | 0.595974 | + | 0.595974i | 0.939239 | − | 0.343264i | \(-0.111533\pi\) |
−0.343264 | + | 0.939239i | \(0.611533\pi\) | |||||||
\(444\) | 1.94958 | + | 4.57413i | 0.0925227 | + | 0.217079i | ||||
\(445\) | −5.73469 | + | 7.50927i | −0.271850 | + | 0.355974i | ||||
\(446\) | 16.4140 | − | 24.8386i | 0.777225 | − | 1.17614i | ||||
\(447\) | −6.47154 | + | 6.47154i | −0.306093 | + | 0.306093i | ||||
\(448\) | −8.88786 | − | 19.7270i | −0.419912 | − | 0.932012i | ||||
\(449\) | 32.9577i | 1.55537i | 0.628655 | + | 0.777685i | \(0.283606\pi\) | ||||
−0.628655 | + | 0.777685i | \(0.716394\pi\) | |||||||
\(450\) | −8.90922 | − | 17.6329i | −0.419984 | − | 0.831223i | ||||
\(451\) | − | 0.313950i | − | 0.0147833i | ||||||
\(452\) | −3.75252 | + | 9.32741i | −0.176504 | + | 0.438724i | ||||
\(453\) | −1.37807 | + | 1.37807i | −0.0647473 | + | 0.0647473i | ||||
\(454\) | 28.2810 | + | 18.6888i | 1.32729 | + | 0.877108i | ||||
\(455\) | 10.4057 | − | 13.6258i | 0.487829 | − | 0.638786i | ||||
\(456\) | −0.231207 | + | 1.26307i | −0.0108272 | + | 0.0591489i | ||||
\(457\) | 0.759073 | + | 0.759073i | 0.0355079 | + | 0.0355079i | 0.724638 | − | 0.689130i | \(-0.242007\pi\) |
−0.689130 | + | 0.724638i | \(0.742007\pi\) | |||||||
\(458\) | 16.9335 | − | 3.45816i | 0.791249 | − | 0.161589i | ||||
\(459\) | −14.4776 | −0.675756 | ||||||||
\(460\) | −9.84752 | − | 16.5744i | −0.459143 | − | 0.772785i | ||||
\(461\) | 34.3719 | 1.60086 | 0.800429 | − | 0.599427i | \(-0.204605\pi\) | ||||
0.800429 | + | 0.599427i | \(0.204605\pi\) | |||||||
\(462\) | 9.61253 | − | 1.96308i | 0.447215 | − | 0.0913306i | ||||
\(463\) | 7.60575 | + | 7.60575i | 0.353469 | + | 0.353469i | 0.861399 | − | 0.507930i | \(-0.169589\pi\) |
−0.507930 | + | 0.861399i | \(0.669589\pi\) | |||||||
\(464\) | −24.7229 | − | 23.7340i | −1.14773 | − | 1.10182i | ||||
\(465\) | −3.60927 | + | 0.483612i | −0.167376 | + | 0.0224270i | ||||
\(466\) | −22.3384 | − | 14.7617i | −1.03480 | − | 0.683825i | ||||
\(467\) | 18.0342 | − | 18.0342i | 0.834521 | − | 0.834521i | −0.153611 | − | 0.988131i | \(-0.549090\pi\) |
0.988131 | + | 0.153611i | \(0.0490901\pi\) | |||||||
\(468\) | −14.6963 | − | 5.91249i | −0.679338 | − | 0.273305i | ||||
\(469\) | − | 25.0844i | − | 1.15829i | ||||||
\(470\) | −6.96745 | − | 20.0371i | −0.321385 | − | 0.924242i | ||||
\(471\) | 0.598994i | 0.0276002i | ||||||||
\(472\) | −13.4159 | − | 19.4280i | −0.617516 | − | 0.894245i | ||||
\(473\) | 11.1788 | − | 11.1788i | 0.514003 | − | 0.514003i | ||||
\(474\) | −4.61283 | + | 6.98041i | −0.211874 | + | 0.320621i | ||||
\(475\) | −1.31629 | − | 4.82363i | −0.0603953 | − | 0.221323i | ||||
\(476\) | 27.3886 | − | 11.6735i | 1.25535 | − | 0.535054i | ||||
\(477\) | 22.2170 | + | 22.2170i | 1.01725 | + | 1.01725i | ||||
\(478\) | 7.10012 | + | 34.7669i | 0.324752 | + | 1.59020i | ||||
\(479\) | 12.8104 | 0.585323 | 0.292662 | − | 0.956216i | \(-0.405459\pi\) | ||||
0.292662 | + | 0.956216i | \(0.405459\pi\) | |||||||
\(480\) | −2.39568 | + | 5.21891i | −0.109347 | + | 0.238210i | ||||
\(481\) | −15.5249 | −0.707873 | ||||||||
\(482\) | −5.72279 | − | 28.0226i | −0.260666 | − | 1.27639i | ||||
\(483\) | 3.74283 | + | 3.74283i | 0.170304 | + | 0.170304i | ||||
\(484\) | 38.4955 | − | 16.4075i | 1.74980 | − | 0.745794i | ||||
\(485\) | −1.57405 | − | 11.7473i | −0.0714738 | − | 0.533420i | ||||
\(486\) | 8.69667 | − | 13.1603i | 0.394489 | − | 0.596964i | ||||
\(487\) | −11.2221 | + | 11.2221i | −0.508520 | + | 0.508520i | −0.914072 | − | 0.405552i | \(-0.867079\pi\) |
0.405552 | + | 0.914072i | \(0.367079\pi\) | |||||||
\(488\) | 19.4048 | + | 28.1006i | 0.878412 | + | 1.27206i | ||||
\(489\) | 0.938449i | 0.0424382i | ||||||||
\(490\) | −0.896093 | − | 0.433690i | −0.0404813 | − | 0.0195921i | ||||
\(491\) | − | 30.6682i | − | 1.38403i | −0.721881 | − | 0.692017i | \(-0.756722\pi\) | ||
0.721881 | − | 0.692017i | \(-0.243278\pi\) | |||||||
\(492\) | −0.0468061 | − | 0.0188306i | −0.00211018 | − | 0.000848949i | ||||
\(493\) | 33.3457 | − | 33.3457i | 1.50182 | − | 1.50182i | ||||
\(494\) | −3.34485 | − | 2.21036i | −0.150492 | − | 0.0994490i | ||||
\(495\) | 28.0530 | + | 21.4235i | 1.26089 | + | 0.962917i | ||||
\(496\) | −10.3511 | − | 9.93704i | −0.464777 | − | 0.446186i | ||||
\(497\) | 13.8482 | + | 13.8482i | 0.621176 | + | 0.621176i | ||||
\(498\) | −4.09412 | + | 0.836105i | −0.183462 | + | 0.0374668i | ||||
\(499\) | −23.9769 | −1.07335 | −0.536676 | − | 0.843788i | \(-0.680320\pi\) | ||||
−0.536676 | + | 0.843788i | \(0.680320\pi\) | |||||||
\(500\) | −0.382313 | − | 22.3574i | −0.0170976 | − | 0.999854i | ||||
\(501\) | −5.57087 | −0.248888 | ||||||||
\(502\) | −19.6041 | + | 4.00357i | −0.874974 | + | 0.178688i | ||||
\(503\) | 0.229488 | + | 0.229488i | 0.0102324 | + | 0.0102324i | 0.712204 | − | 0.701972i | \(-0.247697\pi\) |
−0.701972 | + | 0.712204i | \(0.747697\pi\) | |||||||
\(504\) | −3.84832 | + | 21.0233i | −0.171418 | + | 0.936451i | ||||
\(505\) | −4.68843 | − | 3.58046i | −0.208632 | − | 0.159329i | ||||
\(506\) | 28.7381 | + | 18.9909i | 1.27757 | + | 0.844247i | ||||
\(507\) | 1.59324 | − | 1.59324i | 0.0707582 | − | 0.0707582i | ||||
\(508\) | −8.94194 | + | 22.2264i | −0.396734 | + | 0.986139i | ||||
\(509\) | 40.6326i | 1.80101i | 0.434846 | + | 0.900505i | \(0.356803\pi\) | ||||
−0.434846 | + | 0.900505i | \(0.643197\pi\) | |||||||
\(510\) | −7.11257 | − | 3.44233i | −0.314950 | − | 0.152429i | ||||
\(511\) | − | 12.7779i | − | 0.565263i | ||||||
\(512\) | −21.9667 | + | 5.42825i | −0.970798 | + | 0.239897i | ||||
\(513\) | 1.85993 | − | 1.85993i | 0.0821179 | − | 0.0821179i | ||||
\(514\) | 1.94685 | − | 2.94610i | 0.0858721 | − | 0.129947i | ||||
\(515\) | −2.77957 | − | 20.7444i | −0.122483 | − | 0.914106i | ||||
\(516\) | −0.996126 | − | 2.33713i | −0.0438520 | − | 0.102886i | ||||
\(517\) | 26.8015 | + | 26.8015i | 1.17873 | + | 1.17873i | ||||
\(518\) | 4.19110 | + | 20.5224i | 0.184146 | + | 0.901703i | ||||
\(519\) | −4.14634 | −0.182004 | ||||||||
\(520\) | −12.0573 | − | 13.2701i | −0.528749 | − | 0.581933i | ||||
\(521\) | 0.640624 | 0.0280662 | 0.0140331 | − | 0.999902i | \(-0.495533\pi\) | ||||
0.0140331 | + | 0.999902i | \(0.495533\pi\) | |||||||
\(522\) | 6.77366 | + | 33.1683i | 0.296475 | + | 1.45174i | ||||
\(523\) | 12.4974 | + | 12.4974i | 0.546474 | + | 0.546474i | 0.925419 | − | 0.378945i | \(-0.123713\pi\) |
−0.378945 | + | 0.925419i | \(0.623713\pi\) | |||||||
\(524\) | 0.0774112 | + | 0.181624i | 0.00338172 | + | 0.00793427i | ||||
\(525\) | 1.61619 | + | 5.92265i | 0.0705363 | + | 0.258486i | ||||
\(526\) | −2.12240 | + | 3.21175i | −0.0925412 | + | 0.140039i | ||||
\(527\) | 13.9613 | − | 13.9613i | 0.608165 | − | 0.608165i | ||||
\(528\) | −0.209339 | − | 10.2580i | −0.00911030 | − | 0.446423i | ||||
\(529\) | − | 4.41579i | − | 0.191991i | ||||||
\(530\) | 11.6800 | + | 33.5896i | 0.507348 | + | 1.45904i | ||||
\(531\) | 23.3218i | 1.01208i | ||||||||
\(532\) | −2.01891 | + | 5.01829i | −0.0875310 | + | 0.217571i | ||||
\(533\) | 0.111387 | − | 0.111387i | 0.00482472 | − | 0.00482472i | ||||
\(534\) | −2.26337 | − | 1.49569i | −0.0979458 | − | 0.0647250i | ||||
\(535\) | 20.8634 | − | 2.79552i | 0.902003 | − | 0.120861i | ||||
\(536\) | −25.8041 | − | 4.72346i | −1.11457 | − | 0.204023i | ||||
\(537\) | −7.46053 | − | 7.46053i | −0.321946 | − | 0.321946i | ||||
\(538\) | −3.95908 | + | 0.808527i | −0.170688 | + | 0.0348581i | ||||
\(539\) | 1.77871 | 0.0766144 | ||||||||
\(540\) | 10.1129 | − | 6.00850i | 0.435192 | − | 0.258565i | ||||
\(541\) | 17.4549 | 0.750445 | 0.375223 | − | 0.926935i | \(-0.377566\pi\) | ||||
0.375223 | + | 0.926935i | \(0.377566\pi\) | |||||||
\(542\) | −32.3253 | + | 6.60149i | −1.38849 | + | 0.283558i | ||||
\(543\) | −2.30006 | − | 2.30006i | −0.0987048 | − | 0.0987048i | ||||
\(544\) | −6.85110 | − | 30.3727i | −0.293739 | − | 1.30222i | ||||
\(545\) | −0.820598 | + | 1.07453i | −0.0351506 | + | 0.0460278i | ||||
\(546\) | 4.10695 | + | 2.71398i | 0.175761 | + | 0.116148i | ||||
\(547\) | −14.4169 | + | 14.4169i | −0.616423 | + | 0.616423i | −0.944612 | − | 0.328189i | \(-0.893562\pi\) |
0.328189 | + | 0.944612i | \(0.393562\pi\) | |||||||
\(548\) | 27.3545 | + | 11.0050i | 1.16853 | + | 0.470111i | ||||
\(549\) | − | 33.7327i | − | 1.43967i | ||||||
\(550\) | 18.0170 | + | 35.6587i | 0.768246 | + | 1.52049i | ||||
\(551\) | 8.56783i | 0.365002i | ||||||||
\(552\) | 4.55501 | − | 3.14544i | 0.193874 | − | 0.133879i | ||||
\(553\) | −24.9226 | + | 24.9226i | −1.05982 | + | 1.05982i | ||||
\(554\) | −11.1932 | + | 16.9382i | −0.475552 | + | 0.719634i | ||||
\(555\) | 3.37406 | − | 4.41816i | 0.143221 | − | 0.187540i | ||||
\(556\) | −14.9875 | + | 6.38792i | −0.635610 | + | 0.270908i | ||||
\(557\) | −12.4086 | − | 12.4086i | −0.525768 | − | 0.525768i | 0.393539 | − | 0.919308i | \(-0.371250\pi\) |
−0.919308 | + | 0.393539i | \(0.871250\pi\) | |||||||
\(558\) | 2.83602 | + | 13.8870i | 0.120058 | + | 0.587886i | ||||
\(559\) | 7.93236 | 0.335503 | ||||||||
\(560\) | −14.2868 | + | 19.5211i | −0.603729 | + | 0.824915i | ||||
\(561\) | 14.1182 | 0.596069 | ||||||||
\(562\) | 0.601959 | + | 2.94759i | 0.0253921 | + | 0.124337i | ||||
\(563\) | 11.6114 | + | 11.6114i | 0.489364 | + | 0.489364i | 0.908105 | − | 0.418742i | \(-0.137529\pi\) |
−0.418742 | + | 0.908105i | \(0.637529\pi\) | |||||||
\(564\) | 5.60332 | − | 2.38823i | 0.235942 | − | 0.100563i | ||||
\(565\) | 11.1411 | − | 1.49281i | 0.468709 | − | 0.0628032i | ||||
\(566\) | 17.4115 | − | 26.3481i | 0.731861 | − | 1.10750i | ||||
\(567\) | 13.7457 | − | 13.7457i | 0.577267 | − | 0.577267i | ||||
\(568\) | 16.8532 | − | 11.6379i | 0.707145 | − | 0.488315i | ||||
\(569\) | 14.6399i | 0.613737i | 0.951752 | + | 0.306869i | \(0.0992813\pi\) | ||||
−0.951752 | + | 0.306869i | \(0.900719\pi\) | |||||||
\(570\) | 1.35598 | − | 0.471513i | 0.0567959 | − | 0.0197495i | ||||
\(571\) | 23.5114i | 0.983922i | 0.870617 | + | 0.491961i | \(0.163720\pi\) | ||||
−0.870617 | + | 0.491961i | \(0.836280\pi\) | |||||||
\(572\) | 29.7201 | + | 11.9567i | 1.24266 | + | 0.499936i | ||||
\(573\) | −6.35378 | + | 6.35378i | −0.265433 | + | 0.265433i | ||||
\(574\) | −0.177314 | − | 0.117173i | −0.00740093 | − | 0.00489072i | ||||
\(575\) | −10.6914 | + | 18.7163i | −0.445863 | + | 0.780522i | ||||
\(576\) | 20.9019 | + | 7.91750i | 0.870912 | + | 0.329896i | ||||
\(577\) | 7.05916 | + | 7.05916i | 0.293877 | + | 0.293877i | 0.838610 | − | 0.544733i | \(-0.183369\pi\) |
−0.544733 | + | 0.838610i | \(0.683369\pi\) | |||||||
\(578\) | 18.4216 | − | 3.76207i | 0.766236 | − | 0.156481i | ||||
\(579\) | −3.06585 | −0.127413 | ||||||||
\(580\) | −9.45360 | + | 37.1320i | −0.392539 | + | 1.54182i | ||||
\(581\) | −17.6027 | −0.730283 | ||||||||
\(582\) | 3.33428 | − | 0.680929i | 0.138210 | − | 0.0282254i | ||||
\(583\) | −44.9292 | − | 44.9292i | −1.86078 | − | 1.86078i | ||||
\(584\) | −13.1446 | − | 2.40613i | −0.543927 | − | 0.0995662i | ||||
\(585\) | 2.35209 | + | 17.5540i | 0.0972468 | + | 0.725767i | ||||
\(586\) | 9.98151 | + | 6.59603i | 0.412332 | + | 0.272479i | ||||
\(587\) | 33.5755 | − | 33.5755i | 1.38581 | − | 1.38581i | 0.551899 | − | 0.833911i | \(-0.313903\pi\) |
0.833911 | − | 0.551899i | \(-0.186097\pi\) | |||||||
\(588\) | 0.106686 | − | 0.265184i | 0.00439967 | − | 0.0109360i | ||||
\(589\) | 3.58721i | 0.147808i | ||||||||
\(590\) | −11.4995 | + | 23.7603i | −0.473427 | + | 0.978196i | ||||
\(591\) | − | 8.03374i | − | 0.330464i | ||||||
\(592\) | 21.9005 | − | 0.446931i | 0.900105 | − | 0.0183688i | ||||
\(593\) | 7.65769 | − | 7.65769i | 0.314464 | − | 0.314464i | −0.532172 | − | 0.846636i | \(-0.678624\pi\) |
0.846636 | + | 0.532172i | \(0.178624\pi\) | |||||||
\(594\) | −11.5874 | + | 17.5347i | −0.475435 | + | 0.719457i | ||||
\(595\) | −26.4546 | − | 20.2029i | −1.08453 | − | 0.828239i | ||||
\(596\) | 15.8087 | + | 37.0907i | 0.647550 | + | 1.51929i | ||||
\(597\) | −5.09804 | − | 5.09804i | −0.208649 | − | 0.208649i | ||||
\(598\) | 3.45826 | + | 16.9339i | 0.141419 | + | 0.692481i | ||||
\(599\) | −11.2535 | −0.459804 | −0.229902 | − | 0.973214i | \(-0.573841\pi\) | ||||
−0.229902 | + | 0.973214i | \(0.573841\pi\) | |||||||
\(600\) | 6.39694 | − | 0.547312i | 0.261154 | − | 0.0223439i | ||||
\(601\) | 28.4675 | 1.16121 | 0.580606 | − | 0.814185i | \(-0.302816\pi\) | ||||
0.580606 | + | 0.814185i | \(0.302816\pi\) | |||||||
\(602\) | −2.14142 | − | 10.4858i | −0.0872779 | − | 0.427371i | ||||
\(603\) | 18.3230 | + | 18.3230i | 0.746171 | + | 0.746171i | ||||
\(604\) | 3.36635 | + | 7.89820i | 0.136975 | + | 0.321373i | ||||
\(605\) | −37.1828 | − | 28.3958i | −1.51170 | − | 1.15446i | ||||
\(606\) | 0.933839 | − | 1.41314i | 0.0379346 | − | 0.0574049i | ||||
\(607\) | 21.9473 | − | 21.9473i | 0.890812 | − | 0.890812i | −0.103788 | − | 0.994599i | \(-0.533096\pi\) |
0.994599 | + | 0.103788i | \(0.0330963\pi\) | |||||||
\(608\) | 4.78212 | + | 3.02180i | 0.193941 | + | 0.122550i | ||||
\(609\) | − | 10.5199i | − | 0.426289i | ||||||
\(610\) | 16.6329 | − | 34.3669i | 0.673446 | − | 1.39148i | ||||
\(611\) | 19.0180i | 0.769386i | ||||||||
\(612\) | −11.4792 | + | 28.5331i | −0.464018 | + | 1.15338i | ||||
\(613\) | 9.00839 | − | 9.00839i | 0.363845 | − | 0.363845i | −0.501381 | − | 0.865226i | \(-0.667175\pi\) |
0.865226 | + | 0.501381i | \(0.167175\pi\) | |||||||
\(614\) | −21.6320 | − | 14.2949i | −0.872995 | − | 0.576897i | ||||
\(615\) | 0.00749113 | + | 0.0559074i | 0.000302071 | + | 0.00225440i | ||||
\(616\) | 7.78240 | − | 42.5150i | 0.313562 | − | 1.71298i | ||||
\(617\) | −3.55609 | − | 3.55609i | −0.143163 | − | 0.143163i | 0.631893 | − | 0.775056i | \(-0.282278\pi\) |
−0.775056 | + | 0.631893i | \(0.782278\pi\) | |||||||
\(618\) | 5.88793 | − | 1.20244i | 0.236847 | − | 0.0483691i | ||||
\(619\) | 39.9486 | 1.60567 | 0.802834 | − | 0.596202i | \(-0.203324\pi\) | ||||
0.802834 | + | 0.596202i | \(0.203324\pi\) | |||||||
\(620\) | −3.95807 | + | 15.5466i | −0.158960 | + | 0.624365i | ||||
\(621\) | −11.3392 | −0.455028 | ||||||||
\(622\) | −0.489604 | + | 0.0999872i | −0.0196313 | + | 0.00400912i | ||||
\(623\) | −8.08107 | − | 8.08107i | −0.323761 | − | 0.323761i | ||||
\(624\) | 3.56521 | − | 3.71375i | 0.142722 | − | 0.148669i | ||||
\(625\) | −21.5348 | + | 12.6985i | −0.861391 | + | 0.507942i | ||||
\(626\) | −14.2935 | − | 9.44548i | −0.571282 | − | 0.377517i | ||||
\(627\) | −1.81376 | + | 1.81376i | −0.0724344 | + | 0.0724344i | ||||
\(628\) | 2.44814 | + | 0.984912i | 0.0976913 | + | 0.0393023i | ||||
\(629\) | 30.1418i | 1.20183i | ||||||||
\(630\) | 22.5697 | − | 7.84811i | 0.899199 | − | 0.312676i | ||||
\(631\) | 10.1547i | 0.404254i | 0.979359 | + | 0.202127i | \(0.0647854\pi\) | ||||
−0.979359 | + | 0.202127i | \(0.935215\pi\) | |||||||
\(632\) | 20.9447 | + | 30.3308i | 0.833137 | + | 1.20649i | ||||
\(633\) | 3.46261 | − | 3.46261i | 0.137626 | − | 0.137626i | ||||
\(634\) | −3.48280 | + | 5.27038i | −0.138320 | + | 0.209314i | ||||
\(635\) | 26.5483 | − | 3.55725i | 1.05354 | − | 0.141165i | ||||
\(636\) | −9.39323 | + | 4.00356i | −0.372466 | + | 0.158751i | ||||
\(637\) | 0.631075 | + | 0.631075i | 0.0250041 | + | 0.0250041i | ||||
\(638\) | −13.6983 | − | 67.0758i | −0.542320 | − | 2.65556i | ||||
\(639\) | −20.2310 | −0.800325 | ||||||||
\(640\) | 17.3910 | + | 18.3727i | 0.687438 | + | 0.726243i | ||||
\(641\) | −20.4445 | −0.807510 | −0.403755 | − | 0.914867i | \(-0.632295\pi\) | ||||
−0.403755 | + | 0.914867i | \(0.632295\pi\) | |||||||
\(642\) | 1.20934 | + | 5.92171i | 0.0477287 | + | 0.233711i | ||||
\(643\) | −17.7673 | − | 17.7673i | −0.700672 | − | 0.700672i | 0.263883 | − | 0.964555i | \(-0.414997\pi\) |
−0.964555 | + | 0.263883i | \(0.914997\pi\) | |||||||
\(644\) | 21.4515 | − | 9.14299i | 0.845307 | − | 0.360284i | ||||
\(645\) | −1.72396 | + | 2.25744i | −0.0678809 | + | 0.0888865i | ||||
\(646\) | −4.29145 | + | 6.49409i | −0.168845 | + | 0.255506i | ||||
\(647\) | −3.58437 | + | 3.58437i | −0.140916 | + | 0.140916i | −0.774046 | − | 0.633130i | \(-0.781770\pi\) |
0.633130 | + | 0.774046i | \(0.281770\pi\) | |||||||
\(648\) | −11.5518 | − | 16.7285i | −0.453798 | − | 0.657159i | ||||
\(649\) | − | 47.1633i | − | 1.85132i | ||||||
\(650\) | −6.25919 | + | 19.0438i | −0.245506 | + | 0.746960i | ||||
\(651\) | − | 4.40453i | − | 0.172627i | ||||||
\(652\) | 3.83552 | + | 1.54307i | 0.150211 | + | 0.0604313i | ||||
\(653\) | −17.1613 | + | 17.1613i | −0.671572 | + | 0.671572i | −0.958078 | − | 0.286506i | \(-0.907506\pi\) |
0.286506 | + | 0.958078i | \(0.407506\pi\) | |||||||
\(654\) | −0.323875 | − | 0.214025i | −0.0126645 | − | 0.00836902i | ||||
\(655\) | 0.133973 | − | 0.175430i | 0.00523475 | − | 0.00685463i | ||||
\(656\) | −0.153924 | + | 0.160338i | −0.00600974 | + | 0.00626013i | ||||
\(657\) | 9.33372 | + | 9.33372i | 0.364143 | + | 0.364143i | ||||
\(658\) | 25.1400 | − | 5.13410i | 0.980058 | − | 0.200148i | ||||
\(659\) | 3.92382 | 0.152851 | 0.0764253 | − | 0.997075i | \(-0.475649\pi\) | ||||
0.0764253 | + | 0.997075i | \(0.475649\pi\) | |||||||
\(660\) | −9.86187 | + | 5.85933i | −0.383873 | + | 0.228074i | ||||
\(661\) | −7.98789 | −0.310693 | −0.155347 | − | 0.987860i | \(-0.549649\pi\) | ||||
−0.155347 | + | 0.987860i | \(0.549649\pi\) | |||||||
\(662\) | 29.3866 | − | 6.00136i | 1.14214 | − | 0.233249i | ||||
\(663\) | 5.00904 | + | 5.00904i | 0.194535 | + | 0.194535i | ||||
\(664\) | −3.31464 | + | 18.1078i | −0.128633 | + | 0.702719i | ||||
\(665\) | 5.99408 | − | 0.803157i | 0.232440 | − | 0.0311451i | ||||
\(666\) | −18.0521 | − | 11.9293i | −0.699506 | − | 0.462251i | ||||
\(667\) | 26.1173 | − | 26.1173i | 1.01126 | − | 1.01126i | ||||
\(668\) | −9.16005 | + | 22.7686i | −0.354413 | + | 0.880943i | ||||
\(669\) | − | 9.55730i | − | 0.369507i | ||||||
\(670\) | 9.63284 | + | 27.7023i | 0.372149 | + | 1.07023i | ||||
\(671\) | 68.2170i | 2.63349i | ||||||||
\(672\) | −5.87169 | − | 3.71030i | −0.226505 | − | 0.143128i | ||||
\(673\) | −17.1641 | + | 17.1641i | −0.661626 | + | 0.661626i | −0.955763 | − | 0.294137i | \(-0.904968\pi\) |
0.294137 | + | 0.955763i | \(0.404968\pi\) | |||||||
\(674\) | 1.36683 | − | 2.06838i | 0.0526485 | − | 0.0796709i | ||||
\(675\) | −11.4198 | − | 6.52342i | −0.439549 | − | 0.251086i | ||||
\(676\) | −3.89197 | − | 9.13142i | −0.149691 | − | 0.351208i | ||||
\(677\) | −17.0473 | − | 17.0473i | −0.655180 | − | 0.655180i | 0.299055 | − | 0.954236i | \(-0.403328\pi\) |
−0.954236 | + | 0.299055i | \(0.903328\pi\) | |||||||
\(678\) | 0.645788 | + | 3.16221i | 0.0248013 | + | 0.121444i | ||||
\(679\) | 14.3358 | 0.550156 | ||||||||
\(680\) | −25.7641 | + | 23.4095i | −0.988009 | + | 0.897713i | ||||
\(681\) | 10.8818 | 0.416993 | ||||||||
\(682\) | −5.73525 | − | 28.0836i | −0.219614 | − | 1.07537i | ||||
\(683\) | −19.4927 | − | 19.4927i | −0.745869 | − | 0.745869i | 0.227832 | − | 0.973701i | \(-0.426836\pi\) |
−0.973701 | + | 0.227832i | \(0.926836\pi\) | |||||||
\(684\) | −2.19091 | − | 5.14037i | −0.0837717 | − | 0.196547i | ||||
\(685\) | −4.37798 | − | 32.6735i | −0.167274 | − | 1.24839i | ||||
\(686\) | −14.0973 | + | 21.3328i | −0.538236 | + | 0.814492i | ||||
\(687\) | 3.92310 | − | 3.92310i | 0.149676 | − | 0.149676i | ||||
\(688\) | −11.1900 | + | 0.228357i | −0.426613 | + | 0.00870604i | ||||
\(689\) | − | 31.8812i | − | 1.21458i | ||||||
\(690\) | −5.57075 | − | 2.69613i | −0.212075 | − | 0.102640i | ||||
\(691\) | 10.0408i | 0.381969i | 0.981593 | + | 0.190985i | \(0.0611681\pi\) | ||||
−0.981593 | + | 0.190985i | \(0.938832\pi\) | |||||||
\(692\) | −6.81774 | + | 16.9464i | −0.259171 | + | 0.644207i | ||||
\(693\) | −30.1891 | + | 30.1891i | −1.14679 | + | 1.14679i | ||||
\(694\) | 21.1316 | + | 13.9643i | 0.802144 | + | 0.530077i | ||||
\(695\) | 14.4764 | + | 11.0554i | 0.549121 | + | 0.419354i | ||||
\(696\) | −10.8218 | − | 1.98094i | −0.410199 | − | 0.0750872i | ||||
\(697\) | −0.216260 | − | 0.216260i | −0.00819144 | − | 0.00819144i | ||||
\(698\) | 22.2139 | − | 4.53655i | 0.840810 | − | 0.171711i | ||||
\(699\) | −8.59525 | −0.325102 | ||||||||
\(700\) | 26.8638 | + | 3.13298i | 1.01536 | + | 0.118416i | ||||
\(701\) | 5.87705 | 0.221973 | 0.110987 | − | 0.993822i | \(-0.464599\pi\) | ||||
0.110987 | + | 0.993822i | \(0.464599\pi\) | |||||||
\(702\) | −10.3323 | + | 2.11007i | −0.389968 | + | 0.0796396i | ||||
\(703\) | −3.87230 | − | 3.87230i | −0.146047 | − | 0.146047i | ||||
\(704\) | −42.2695 | − | 16.0114i | −1.59309 | − | 0.603453i | ||||
\(705\) | −5.41225 | − | 4.13323i | −0.203837 | − | 0.155667i | ||||
\(706\) | 42.0000 | + | 27.7546i | 1.58069 | + | 1.04456i | ||||
\(707\) | 5.04543 | − | 5.04543i | 0.189753 | − | 0.189753i | ||||
\(708\) | −7.03147 | − | 2.82884i | −0.264259 | − | 0.106314i | ||||
\(709\) | 3.43572i | 0.129031i | 0.997917 | + | 0.0645156i | \(0.0205502\pi\) | ||||
−0.997917 | + | 0.0645156i | \(0.979450\pi\) | |||||||
\(710\) | −20.6114 | − | 9.97548i | −0.773531 | − | 0.374373i | ||||
\(711\) | − | 36.4097i | − | 1.36547i | ||||||
\(712\) | −9.83464 | + | 6.79126i | −0.368569 | + | 0.254513i | ||||
\(713\) | 10.9349 | − | 10.9349i | 0.409514 | − | 0.409514i | ||||
\(714\) | 5.26923 | − | 7.97371i | 0.197196 | − | 0.298409i | ||||
\(715\) | −4.75659 | − | 35.4991i | −0.177886 | − | 1.32759i | ||||
\(716\) | −42.7590 | + | 18.2246i | −1.59798 | + | 0.681086i | ||||
\(717\) | 8.05469 | + | 8.05469i | 0.300808 | + | 0.300808i | ||||
\(718\) | −0.0984269 | − | 0.481963i | −0.00367326 | − | 0.0179867i | ||||
\(719\) | 0.800777 | 0.0298640 | 0.0149320 | − | 0.999889i | \(-0.495247\pi\) | ||||
0.0149320 | + | 0.999889i | \(0.495247\pi\) | |||||||
\(720\) | −3.82337 | − | 24.6952i | −0.142488 | − | 0.920335i | ||||
\(721\) | 25.3152 | 0.942786 | ||||||||
\(722\) | −0.282971 | − | 1.38561i | −0.0105311 | − | 0.0515672i | ||||
\(723\) | −6.49220 | − | 6.49220i | −0.241447 | − | 0.241447i | ||||
\(724\) | −13.1824 | + | 5.61859i | −0.489922 | + | 0.208813i | ||||
\(725\) | 41.3280 | − | 11.2777i | 1.53488 | − | 0.418843i | ||||
\(726\) | 7.40607 | − | 11.2073i | 0.274865 | − | 0.415942i | ||||
\(727\) | −15.8191 | + | 15.8191i | −0.586696 | + | 0.586696i | −0.936735 | − | 0.350039i | \(-0.886168\pi\) |
0.350039 | + | 0.936735i | \(0.386168\pi\) | |||||||
\(728\) | 17.8452 | − | 12.3229i | 0.661388 | − | 0.456718i | ||||
\(729\) | 16.4989i | 0.611071i | ||||||||
\(730\) | 4.90696 | + | 14.1115i | 0.181615 | + | 0.522290i | ||||
\(731\) | − | 15.4008i | − | 0.569619i | ||||||
\(732\) | 10.1703 | + | 4.09163i | 0.375906 | + | 0.151231i | ||||
\(733\) | −29.5915 | + | 29.5915i | −1.09299 | + | 1.09299i | −0.0977792 | + | 0.995208i | \(0.531174\pi\) |
−0.995208 | + | 0.0977792i | \(0.968826\pi\) | |||||||
\(734\) | −8.33258 | − | 5.50638i | −0.307561 | − | 0.203244i | ||||
\(735\) | −0.316748 | + | 0.0424416i | −0.0116834 | + | 0.00156548i | ||||
\(736\) | −5.36597 | − | 23.7887i | −0.197792 | − | 0.876862i | ||||
\(737\) | −37.0543 | − | 37.0543i | −1.36491 | − | 1.36491i | ||||
\(738\) | 0.215110 | − | 0.0439299i | 0.00791830 | − | 0.00161708i | ||||
\(739\) | −15.3771 | −0.565656 | −0.282828 | − | 0.959171i | \(-0.591273\pi\) | ||||
−0.282828 | + | 0.959171i | \(0.591273\pi\) | |||||||
\(740\) | −12.5095 | − | 21.0548i | −0.459857 | − | 0.773988i | ||||
\(741\) | −1.28702 | −0.0472798 | ||||||||
\(742\) | −42.1439 | + | 8.60666i | −1.54715 | + | 0.315960i | ||||
\(743\) | 0.642631 | + | 0.642631i | 0.0235758 | + | 0.0235758i | 0.718796 | − | 0.695221i | \(-0.244693\pi\) |
−0.695221 | + | 0.718796i | \(0.744693\pi\) | |||||||
\(744\) | −4.53092 | − | 0.829387i | −0.166111 | − | 0.0304068i | ||||
\(745\) | 27.3596 | − | 35.8259i | 1.00238 | − | 1.31256i | ||||
\(746\) | −24.0509 | − | 15.8934i | −0.880565 | − | 0.581899i | ||||
\(747\) | 12.8580 | − | 12.8580i | 0.470449 | − | 0.470449i | ||||
\(748\) | 23.2142 | − | 57.7021i | 0.848794 | − | 2.10980i | ||||
\(749\) | 25.4604i | 0.930304i | ||||||||
\(750\) | −4.05927 | − | 5.92012i | −0.148223 | − | 0.216172i | ||||
\(751\) | 8.45843i | 0.308652i | 0.988020 | + | 0.154326i | \(0.0493207\pi\) | ||||
−0.988020 | + | 0.154326i | \(0.950679\pi\) | |||||||
\(752\) | −0.547491 | − | 26.8281i | −0.0199649 | − | 0.978321i | ||||
\(753\) | −4.54183 | + | 4.54183i | −0.165513 | + | 0.165513i | ||||
\(754\) | 18.9380 | − | 28.6581i | 0.689682 | − | 1.04367i | ||||
\(755\) | 5.82603 | − | 7.62888i | 0.212031 | − | 0.277643i | ||||
\(756\) | 5.57864 | + | 13.0887i | 0.202893 | + | 0.476032i | ||||
\(757\) | −20.6260 | − | 20.6260i | −0.749665 | − | 0.749665i | 0.224752 | − | 0.974416i | \(-0.427843\pi\) |
−0.974416 | + | 0.224752i | \(0.927843\pi\) | |||||||
\(758\) | 5.73564 | + | 28.0855i | 0.208328 | + | 1.02011i | ||||
\(759\) | 11.0577 | 0.401370 | ||||||||
\(760\) | 0.302500 | − | 6.31732i | 0.0109728 | − | 0.229153i | ||||
\(761\) | 19.3261 | 0.700571 | 0.350286 | − | 0.936643i | \(-0.386085\pi\) | ||||
0.350286 | + | 0.936643i | \(0.386085\pi\) | |||||||
\(762\) | 1.53886 | + | 7.53527i | 0.0557470 | + | 0.272974i | ||||
\(763\) | −1.15635 | − | 1.15635i | −0.0418627 | − | 0.0418627i | ||||
\(764\) | 15.5210 | + | 36.4158i | 0.561532 | + | 1.31748i | ||||
\(765\) | 34.0813 | − | 4.56661i | 1.23221 | − | 0.165106i | ||||
\(766\) | −23.6394 | + | 35.7725i | −0.854125 | + | 1.29251i | ||||
\(767\) | 16.7332 | − | 16.7332i | 0.604202 | − | 0.604202i | ||||
\(768\) | −4.92242 | + | 5.34152i | −0.177623 | + | 0.192745i | ||||
\(769\) | − | 16.9936i | − | 0.612803i | −0.951902 | − | 0.306402i | \(-0.900875\pi\) | ||
0.951902 | − | 0.306402i | \(-0.0991251\pi\) | |||||||