Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [576,2,Mod(13,576)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(576, base_ring=CyclotomicField(48))
chi = DirichletCharacter(H, H._module([0, 45, 16]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("576.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 576 = 2^{6} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 576.bm (of order \(48\), degree \(16\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.59938315643\) |
Analytic rank: | \(0\) |
Dimension: | \(1504\) |
Relative dimension: | \(94\) over \(\Q(\zeta_{48})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{48}]$ |
Embedding invariants
Embedding label | 517.31 | ||
Character | \(\chi\) | \(=\) | 576.517 |
Dual form | 576.2.bm.a.205.31 |
$q$-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 \(\left(\mathbb{Z}/576\mathbb{Z}\right)^\times\).
\(n\) | \(65\) | \(127\) | \(325\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(1\) | \(e\left(\frac{1}{16}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.775373 | + | 1.18271i | −0.548272 | + | 0.836300i | ||||
\(3\) | 0.720990 | − | 1.57486i | 0.416263 | − | 0.909244i | ||||
\(4\) | −0.797593 | − | 1.83408i | −0.398797 | − | 0.917039i | ||||
\(5\) | −0.992718 | + | 1.13198i | −0.443957 | + | 0.506236i | −0.929929 | − | 0.367738i | \(-0.880132\pi\) |
0.485972 | + | 0.873974i | \(0.338466\pi\) | |||||||
\(6\) | 1.30356 | + | 2.07382i | 0.532176 | + | 0.846634i | ||||
\(7\) | −1.51707 | + | 0.199726i | −0.573397 | + | 0.0754892i | −0.411648 | − | 0.911343i | \(-0.635047\pi\) |
−0.161749 | + | 0.986832i | \(0.551713\pi\) | |||||||
\(8\) | 2.78761 | + | 0.478776i | 0.985569 | + | 0.169273i | ||||
\(9\) | −1.96035 | − | 2.27091i | −0.653449 | − | 0.756970i | ||||
\(10\) | −0.569072 | − | 2.05180i | −0.179956 | − | 0.648836i | ||||
\(11\) | −1.85338 | + | 3.75828i | −0.558815 | + | 1.13317i | 0.415837 | + | 0.909439i | \(0.363489\pi\) |
−0.974652 | + | 0.223726i | \(0.928178\pi\) | |||||||
\(12\) | −3.46347 | − | 0.0662563i | −0.999817 | − | 0.0191266i | ||||
\(13\) | 0.737900 | − | 2.17378i | 0.204657 | − | 0.602899i | −0.795338 | − | 0.606166i | \(-0.792707\pi\) |
0.999995 | + | 0.00326703i | \(0.00103993\pi\) | |||||||
\(14\) | 0.940075 | − | 1.94911i | 0.251246 | − | 0.520921i | ||||
\(15\) | 1.06696 | + | 2.37953i | 0.275489 | + | 0.614393i | ||||
\(16\) | −2.72769 | + | 2.92570i | −0.681922 | + | 0.731424i | ||||
\(17\) | −4.20334 | + | 4.20334i | −1.01946 | + | 1.01946i | −0.0196524 | + | 0.999807i | \(0.506256\pi\) |
−0.999807 | + | 0.0196524i | \(0.993744\pi\) | |||||||
\(18\) | 4.20582 | − | 0.557715i | 0.991322 | − | 0.131455i | ||||
\(19\) | 0.0676413 | + | 0.340056i | 0.0155180 | + | 0.0780141i | 0.987768 | − | 0.155929i | \(-0.0498371\pi\) |
−0.972250 | + | 0.233943i | \(0.924837\pi\) | |||||||
\(20\) | 2.86792 | + | 0.917865i | 0.641287 | + | 0.205241i | ||||
\(21\) | −0.779250 | + | 2.53316i | −0.170046 | + | 0.552781i | ||||
\(22\) | −3.00789 | − | 5.10608i | −0.641284 | − | 1.08862i | ||||
\(23\) | 0.115392 | − | 0.876493i | 0.0240610 | − | 0.182761i | −0.975194 | − | 0.221351i | \(-0.928953\pi\) |
0.999255 | + | 0.0385899i | \(0.0122866\pi\) | |||||||
\(24\) | 2.76384 | − | 4.04490i | 0.564167 | − | 0.825661i | ||||
\(25\) | 0.356746 | + | 2.70976i | 0.0713492 | + | 0.541951i | ||||
\(26\) | 1.99880 | + | 2.55821i | 0.391997 | + | 0.501707i | ||||
\(27\) | −4.98975 | + | 1.44997i | −0.960278 | + | 0.279046i | ||||
\(28\) | 1.57631 | + | 2.62312i | 0.297895 | + | 0.495723i | ||||
\(29\) | 1.53182 | + | 0.100401i | 0.284453 | + | 0.0186440i | 0.206962 | − | 0.978349i | \(-0.433642\pi\) |
0.0774909 | + | 0.996993i | \(0.475309\pi\) | |||||||
\(30\) | −3.64159 | − | 0.583120i | −0.664860 | − | 0.106463i | ||||
\(31\) | −3.11702 | − | 1.79961i | −0.559834 | − | 0.323220i | 0.193245 | − | 0.981151i | \(-0.438099\pi\) |
−0.753079 | + | 0.657930i | \(0.771432\pi\) | |||||||
\(32\) | −1.34527 | − | 5.49457i | −0.237812 | − | 0.971311i | ||||
\(33\) | 4.58249 | + | 5.62849i | 0.797709 | + | 0.979795i | ||||
\(34\) | −1.71216 | − | 8.23047i | −0.293634 | − | 1.41151i | ||||
\(35\) | 1.27993 | − | 1.91556i | 0.216348 | − | 0.323788i | ||||
\(36\) | −2.60147 | + | 5.40670i | −0.433578 | + | 0.901116i | ||||
\(37\) | −1.96962 | + | 9.90194i | −0.323803 | + | 1.62787i | 0.385318 | + | 0.922784i | \(0.374092\pi\) |
−0.709122 | + | 0.705086i | \(0.750908\pi\) | |||||||
\(38\) | −0.454633 | − | 0.183670i | −0.0737513 | − | 0.0297952i | ||||
\(39\) | −2.89138 | − | 2.72936i | −0.462991 | − | 0.437048i | ||||
\(40\) | −3.30927 | + | 2.68022i | −0.523242 | + | 0.423781i | ||||
\(41\) | −1.45873 | + | 11.0801i | −0.227815 | + | 1.73042i | 0.370211 | + | 0.928948i | \(0.379285\pi\) |
−0.598026 | + | 0.801477i | \(0.704048\pi\) | |||||||
\(42\) | −2.39178 | − | 2.88577i | −0.369060 | − | 0.445284i | ||||
\(43\) | −6.89969 | − | 3.40255i | −1.05219 | − | 0.518884i | −0.167894 | − | 0.985805i | \(-0.553697\pi\) |
−0.884299 | + | 0.466921i | \(0.845363\pi\) | |||||||
\(44\) | 8.37123 | + | 0.401664i | 1.26201 | + | 0.0605531i | ||||
\(45\) | 4.51669 | + | 0.0353028i | 0.673309 | + | 0.00526263i | ||||
\(46\) | 0.947162 | + | 0.816084i | 0.139651 | + | 0.120325i | ||||
\(47\) | 5.41876 | + | 1.45195i | 0.790408 | + | 0.211789i | 0.631368 | − | 0.775483i | \(-0.282494\pi\) |
0.159039 | + | 0.987272i | \(0.449160\pi\) | |||||||
\(48\) | 2.64092 | + | 6.40512i | 0.381184 | + | 0.924499i | ||||
\(49\) | −4.49988 | + | 1.20574i | −0.642840 | + | 0.172248i | ||||
\(50\) | −3.48146 | − | 1.67914i | −0.492353 | − | 0.237467i | ||||
\(51\) | 3.58909 | + | 9.65022i | 0.502574 | + | 1.35130i | ||||
\(52\) | −4.57544 | + | 0.380428i | −0.634499 | + | 0.0527559i | ||||
\(53\) | −1.12033 | − | 1.67669i | −0.153889 | − | 0.230311i | 0.746512 | − | 0.665372i | \(-0.231727\pi\) |
−0.900401 | + | 0.435061i | \(0.856727\pi\) | |||||||
\(54\) | 2.15403 | − | 7.02568i | 0.293127 | − | 0.956074i | ||||
\(55\) | −2.41441 | − | 5.82890i | −0.325559 | − | 0.785969i | ||||
\(56\) | −4.32461 | − | 0.169578i | −0.577901 | − | 0.0226608i | ||||
\(57\) | 0.584307 | + | 0.138651i | 0.0773934 | + | 0.0183648i | ||||
\(58\) | −1.30648 | + | 1.73385i | −0.171549 | + | 0.227666i | ||||
\(59\) | −2.94562 | + | 3.35883i | −0.383487 | + | 0.437283i | −0.911090 | − | 0.412208i | \(-0.864758\pi\) |
0.527603 | + | 0.849491i | \(0.323091\pi\) | |||||||
\(60\) | 3.51325 | − | 3.85479i | 0.453558 | − | 0.497652i | ||||
\(61\) | 0.340267 | − | 5.19146i | 0.0435667 | − | 0.664699i | −0.919103 | − | 0.394018i | \(-0.871085\pi\) |
0.962669 | − | 0.270681i | \(-0.0872487\pi\) | |||||||
\(62\) | 4.54527 | − | 2.29115i | 0.577250 | − | 0.290977i | ||||
\(63\) | 3.42754 | + | 3.05359i | 0.431829 | + | 0.384716i | ||||
\(64\) | 7.54155 | + | 2.66928i | 0.942693 | + | 0.333660i | ||||
\(65\) | 1.72815 | + | 2.99324i | 0.214350 | + | 0.371266i | ||||
\(66\) | −10.2100 | + | 1.05556i | −1.25676 | + | 0.129931i | ||||
\(67\) | −8.96469 | + | 4.42089i | −1.09521 | + | 0.540098i | −0.897881 | − | 0.440239i | \(-0.854894\pi\) |
−0.197330 | + | 0.980337i | \(0.563227\pi\) | |||||||
\(68\) | 11.0618 | + | 4.35670i | 1.34144 | + | 0.528327i | ||||
\(69\) | −1.29715 | − | 0.813668i | −0.156159 | − | 0.0979542i | ||||
\(70\) | 1.27312 | + | 2.99906i | 0.152167 | + | 0.358456i | ||||
\(71\) | 5.31435 | − | 12.8300i | 0.630697 | − | 1.52264i | −0.208051 | − | 0.978118i | \(-0.566712\pi\) |
0.838748 | − | 0.544520i | \(-0.183288\pi\) | |||||||
\(72\) | −4.37743 | − | 7.26898i | −0.515885 | − | 0.856658i | ||||
\(73\) | −2.93403 | − | 7.08337i | −0.343402 | − | 0.829046i | −0.997367 | − | 0.0725208i | \(-0.976896\pi\) |
0.653965 | − | 0.756525i | \(-0.273104\pi\) | |||||||
\(74\) | −10.1839 | − | 10.0072i | −1.18386 | − | 1.16331i | ||||
\(75\) | 4.52469 | + | 1.39188i | 0.522466 | + | 0.160721i | ||||
\(76\) | 0.569738 | − | 0.395285i | 0.0653535 | − | 0.0453423i | ||||
\(77\) | 2.06108 | − | 6.07173i | 0.234881 | − | 0.691938i | ||||
\(78\) | 5.46994 | − | 1.30338i | 0.619348 | − | 0.147579i | ||||
\(79\) | 3.55888 | − | 13.2819i | 0.400405 | − | 1.49433i | −0.411969 | − | 0.911198i | \(-0.635159\pi\) |
0.812375 | − | 0.583136i | \(-0.198174\pi\) | |||||||
\(80\) | −0.603998 | − | 5.99208i | −0.0675291 | − | 0.669935i | ||||
\(81\) | −1.31407 | + | 8.90355i | −0.146008 | + | 0.989283i | ||||
\(82\) | −11.9735 | − | 10.3165i | −1.32225 | − | 1.13926i | ||||
\(83\) | 1.19012 | − | 1.04371i | 0.130633 | − | 0.114562i | −0.591537 | − | 0.806278i | \(-0.701479\pi\) |
0.722169 | + | 0.691716i | \(0.243145\pi\) | |||||||
\(84\) | 5.26754 | − | 0.591228i | 0.574736 | − | 0.0645082i | ||||
\(85\) | −0.585357 | − | 8.93081i | −0.0634908 | − | 0.968683i | ||||
\(86\) | 9.37406 | − | 5.52207i | 1.01083 | − | 0.595460i | ||||
\(87\) | 1.26255 | − | 2.34002i | 0.135359 | − | 0.250876i | ||||
\(88\) | −6.96588 | + | 9.58928i | −0.742565 | + | 1.02222i | ||||
\(89\) | 2.83262 | + | 1.17331i | 0.300257 | + | 0.124370i | 0.527726 | − | 0.849415i | \(-0.323045\pi\) |
−0.227469 | + | 0.973785i | \(0.573045\pi\) | |||||||
\(90\) | −3.54387 | + | 5.31455i | −0.373557 | + | 0.560203i | ||||
\(91\) | −0.685283 | + | 3.44515i | −0.0718372 | + | 0.361150i | ||||
\(92\) | −1.69959 | + | 0.487446i | −0.177195 | + | 0.0508197i | ||||
\(93\) | −5.08147 | + | 3.61136i | −0.526924 | + | 0.374481i | ||||
\(94\) | −5.91880 | + | 5.28300i | −0.610477 | + | 0.544900i | ||||
\(95\) | −0.452084 | − | 0.261011i | −0.0463828 | − | 0.0267791i | ||||
\(96\) | −9.62308 | − | 1.84292i | −0.982151 | − | 0.188092i | ||||
\(97\) | 11.6430 | − | 6.72212i | 1.18217 | − | 0.682527i | 0.225656 | − | 0.974207i | \(-0.427547\pi\) |
0.956516 | + | 0.291680i | \(0.0942141\pi\) | |||||||
\(98\) | 2.06305 | − | 6.25694i | 0.208399 | − | 0.632046i | ||||
\(99\) | 12.1680 | − | 3.15868i | 1.22293 | − | 0.317460i | ||||
\(100\) | 4.68537 | − | 2.81558i | 0.468537 | − | 0.281558i | ||||
\(101\) | −11.2559 | + | 3.82086i | −1.12000 | + | 0.380190i | −0.819207 | − | 0.573498i | \(-0.805586\pi\) |
−0.300797 | + | 0.953688i | \(0.597253\pi\) | |||||||
\(102\) | −14.1963 | − | 3.23767i | −1.40564 | − | 0.320577i | ||||
\(103\) | 6.72923 | − | 5.16352i | 0.663050 | − | 0.508776i | −0.221536 | − | 0.975152i | \(-0.571107\pi\) |
0.884587 | + | 0.466376i | \(0.154441\pi\) | |||||||
\(104\) | 3.09773 | − | 5.70638i | 0.303758 | − | 0.559556i | ||||
\(105\) | −2.09391 | − | 3.39681i | −0.204345 | − | 0.331495i | ||||
\(106\) | 2.85170 | − | 0.0249604i | 0.276982 | − | 0.00242437i | ||||
\(107\) | 1.32751 | − | 0.887013i | 0.128335 | − | 0.0857508i | −0.489746 | − | 0.871865i | \(-0.662910\pi\) |
0.618081 | + | 0.786115i | \(0.287910\pi\) | |||||||
\(108\) | 6.63914 | + | 7.99511i | 0.638852 | + | 0.769330i | ||||
\(109\) | 1.92412 | + | 9.67320i | 0.184297 | + | 0.926525i | 0.956630 | + | 0.291306i | \(0.0940899\pi\) |
−0.772332 | + | 0.635218i | \(0.780910\pi\) | |||||||
\(110\) | 8.76595 | + | 1.66403i | 0.835801 | + | 0.158659i | ||||
\(111\) | 14.1741 | + | 10.2411i | 1.34534 | + | 0.972039i | ||||
\(112\) | 3.55375 | − | 4.98327i | 0.335798 | − | 0.470874i | ||||
\(113\) | −14.2335 | + | 3.81386i | −1.33898 | + | 0.358778i | −0.856055 | − | 0.516885i | \(-0.827091\pi\) |
−0.482922 | + | 0.875663i | \(0.660425\pi\) | |||||||
\(114\) | −0.617040 | + | 0.583558i | −0.0577911 | + | 0.0546552i | ||||
\(115\) | 0.877618 | + | 1.00073i | 0.0818383 | + | 0.0933187i | ||||
\(116\) | −1.03763 | − | 2.88957i | −0.0963414 | − | 0.268289i | ||||
\(117\) | −6.38301 | + | 2.58567i | −0.590110 | + | 0.239045i | ||||
\(118\) | −1.68856 | − | 6.08815i | −0.155445 | − | 0.560460i | ||||
\(119\) | 5.53723 | − | 7.21626i | 0.507597 | − | 0.661513i | ||||
\(120\) | 1.83502 | + | 7.14405i | 0.167513 | + | 0.652159i | ||||
\(121\) | −3.99330 | − | 5.20418i | −0.363028 | − | 0.473107i | ||||
\(122\) | 5.87615 | + | 4.42776i | 0.532002 | + | 0.400870i | ||||
\(123\) | 16.3979 | + | 10.2859i | 1.47855 | + | 0.927452i | ||||
\(124\) | −0.814517 | + | 7.15222i | −0.0731458 | + | 0.642289i | ||||
\(125\) | −9.68088 | − | 6.46856i | −0.865884 | − | 0.578565i | ||||
\(126\) | −6.26912 | + | 1.68610i | −0.558498 | + | 0.150210i | ||||
\(127\) | 5.11418 | 0.453810 | 0.226905 | − | 0.973917i | \(-0.427139\pi\) | ||||
0.226905 | + | 0.973917i | \(0.427139\pi\) | |||||||
\(128\) | −9.00449 | + | 6.84975i | −0.795892 | + | 0.605438i | ||||
\(129\) | −10.3331 | + | 8.41283i | −0.909782 | + | 0.740708i | ||||
\(130\) | −4.88009 | − | 0.276985i | −0.428012 | − | 0.0242931i | ||||
\(131\) | −5.50683 | + | 2.71567i | −0.481134 | + | 0.237269i | −0.666648 | − | 0.745372i | \(-0.732272\pi\) |
0.185514 | + | 0.982642i | \(0.440605\pi\) | |||||||
\(132\) | 6.66813 | − | 12.8939i | 0.580387 | − | 1.12227i | ||||
\(133\) | −0.170534 | − | 0.502377i | −0.0147872 | − | 0.0435616i | ||||
\(134\) | 1.72235 | − | 14.0304i | 0.148789 | − | 1.21205i | ||||
\(135\) | 3.31209 | − | 7.08769i | 0.285059 | − | 0.610011i | ||||
\(136\) | −13.7297 | + | 9.70481i | −1.17731 | + | 0.832181i | ||||
\(137\) | 9.45420 | − | 12.3210i | 0.807727 | − | 1.05265i | −0.189762 | − | 0.981830i | \(-0.560772\pi\) |
0.997489 | − | 0.0708199i | \(-0.0225616\pi\) | |||||||
\(138\) | 1.96811 | − | 0.903256i | 0.167537 | − | 0.0768903i | ||||
\(139\) | 10.5652 | − | 0.692477i | 0.896126 | − | 0.0587352i | 0.389624 | − | 0.920974i | \(-0.372605\pi\) |
0.506502 | + | 0.862239i | \(0.330938\pi\) | |||||||
\(140\) | −4.53415 | − | 0.819665i | −0.383205 | − | 0.0692743i | ||||
\(141\) | 6.19349 | − | 7.48693i | 0.521586 | − | 0.630513i | ||||
\(142\) | 11.0535 | + | 16.2333i | 0.927589 | + | 1.36227i | ||||
\(143\) | 6.80209 | + | 6.80209i | 0.568819 | + | 0.568819i | ||||
\(144\) | 11.9912 | + | 0.458953i | 0.999268 | + | 0.0382461i | ||||
\(145\) | −1.63432 | + | 1.63432i | −0.135723 | + | 0.135723i | ||||
\(146\) | 10.6525 | + | 2.02216i | 0.881609 | + | 0.167355i | ||||
\(147\) | −1.34550 | + | 7.95599i | −0.110975 | + | 0.656199i | ||||
\(148\) | 19.7319 | − | 4.28529i | 1.62195 | − | 0.352248i | ||||
\(149\) | 1.24227 | + | 18.9533i | 0.101770 | + | 1.55272i | 0.677774 | + | 0.735270i | \(0.262945\pi\) |
−0.576004 | + | 0.817447i | \(0.695389\pi\) | |||||||
\(150\) | −5.15451 | + | 4.27215i | −0.420864 | + | 0.348820i | ||||
\(151\) | −2.24596 | − | 1.72338i | −0.182773 | − | 0.140247i | 0.513323 | − | 0.858196i | \(-0.328414\pi\) |
−0.696096 | + | 0.717949i | \(0.745081\pi\) | |||||||
\(152\) | 0.0257471 | + | 0.980328i | 0.00208837 | + | 0.0795151i | ||||
\(153\) | 17.7854 | + | 1.30540i | 1.43787 | + | 0.105535i | ||||
\(154\) | 5.58298 | + | 7.14551i | 0.449889 | + | 0.575801i | ||||
\(155\) | 5.13145 | − | 1.74189i | 0.412168 | − | 0.139912i | ||||
\(156\) | −2.69972 | + | 7.47994i | −0.216151 | + | 0.598875i | ||||
\(157\) | 5.60038 | + | 11.3564i | 0.446959 | + | 0.906343i | 0.997441 | + | 0.0714960i | \(0.0227773\pi\) |
−0.550482 | + | 0.834847i | \(0.685556\pi\) | |||||||
\(158\) | 12.9492 | + | 14.5076i | 1.03018 | + | 1.15416i | ||||
\(159\) | −3.44829 | + | 0.555481i | −0.273467 | + | 0.0440525i | ||||
\(160\) | 7.55520 | + | 3.93174i | 0.597291 | + | 0.310831i | ||||
\(161\) | 1.35274i | 0.106611i | ||||||||
\(162\) | −9.51140 | − | 8.45773i | −0.747286 | − | 0.664502i | ||||
\(163\) | −2.67830 | + | 4.00836i | −0.209781 | + | 0.313959i | −0.921407 | − | 0.388599i | \(-0.872959\pi\) |
0.711626 | + | 0.702558i | \(0.247959\pi\) | |||||||
\(164\) | 21.4853 | − | 6.16201i | 1.67772 | − | 0.481172i | ||||
\(165\) | −10.9205 | − | 0.400227i | −0.850156 | − | 0.0311576i | ||||
\(166\) | 0.311613 | + | 2.21682i | 0.0241859 | + | 0.172059i | ||||
\(167\) | 3.42356 | − | 2.62699i | 0.264923 | − | 0.203283i | −0.467755 | − | 0.883858i | \(-0.654937\pi\) |
0.732678 | + | 0.680576i | \(0.238270\pi\) | |||||||
\(168\) | −3.38506 | + | 6.68838i | −0.261163 | + | 0.516020i | ||||
\(169\) | 6.13275 | + | 4.70583i | 0.471750 | + | 0.361987i | ||||
\(170\) | 11.0164 | + | 6.23241i | 0.844920 | + | 0.478004i | ||||
\(171\) | 0.639635 | − | 0.820235i | 0.0489141 | − | 0.0627249i | ||||
\(172\) | −0.737400 | + | 15.3684i | −0.0562262 | + | 1.17183i | ||||
\(173\) | −0.631019 | + | 0.553388i | −0.0479755 | + | 0.0420733i | −0.682998 | − | 0.730420i | \(-0.739324\pi\) |
0.635022 | + | 0.772494i | \(0.280991\pi\) | |||||||
\(174\) | 1.78861 | + | 3.30761i | 0.135594 | + | 0.250749i | ||||
\(175\) | −1.08241 | − | 4.03963i | −0.0818229 | − | 0.305367i | ||||
\(176\) | −5.94016 | − | 15.6739i | −0.447756 | − | 1.18146i | ||||
\(177\) | 3.16592 | + | 7.06061i | 0.237965 | + | 0.530708i | ||||
\(178\) | −3.58402 | + | 2.44041i | −0.268633 | + | 0.182916i | ||||
\(179\) | 5.01331 | − | 0.997209i | 0.374712 | − | 0.0745349i | −0.00414162 | − | 0.999991i | \(-0.501318\pi\) |
0.378854 | + | 0.925457i | \(0.376318\pi\) | |||||||
\(180\) | −3.53774 | − | 8.31213i | −0.263687 | − | 0.619549i | ||||
\(181\) | 3.25863 | + | 4.87689i | 0.242212 | + | 0.362496i | 0.932581 | − | 0.360962i | \(-0.117552\pi\) |
−0.690368 | + | 0.723458i | \(0.742552\pi\) | |||||||
\(182\) | −3.54326 | − | 3.48177i | −0.262644 | − | 0.258086i | ||||
\(183\) | −7.93048 | − | 4.27886i | −0.586238 | − | 0.316303i | ||||
\(184\) | 0.741313 | − | 2.38807i | 0.0546503 | − | 0.176051i | ||||
\(185\) | −9.25351 | − | 12.0594i | −0.680331 | − | 0.886625i | ||||
\(186\) | −0.331145 | − | 8.81005i | −0.0242808 | − | 0.645984i | ||||
\(187\) | −8.00695 | − | 23.5877i | −0.585526 | − | 1.72491i | ||||
\(188\) | −1.65897 | − | 11.0965i | −0.120993 | − | 0.809296i | ||||
\(189\) | 7.28019 | − | 3.19627i | 0.529556 | − | 0.232495i | ||||
\(190\) | 0.659233 | − | 0.332302i | 0.0478258 | − | 0.0241077i | ||||
\(191\) | −9.29052 | − | 16.0916i | −0.672238 | − | 1.16435i | −0.977268 | − | 0.212008i | \(-0.932000\pi\) |
0.305030 | − | 0.952343i | \(-0.401334\pi\) | |||||||
\(192\) | 9.64111 | − | 9.95233i | 0.695787 | − | 0.718248i | ||||
\(193\) | 13.0045 | − | 22.5245i | 0.936085 | − | 1.62135i | 0.163398 | − | 0.986560i | \(-0.447754\pi\) |
0.772687 | − | 0.634787i | \(-0.218912\pi\) | |||||||
\(194\) | −1.07741 | + | 18.9825i | −0.0773534 | + | 1.36286i | ||||
\(195\) | 5.95990 | − | 0.563491i | 0.426798 | − | 0.0403524i | ||||
\(196\) | 5.80050 | + | 7.29145i | 0.414321 | + | 0.520818i | ||||
\(197\) | −7.66519 | − | 1.52470i | −0.546122 | − | 0.108630i | −0.0856842 | − | 0.996322i | \(-0.527308\pi\) |
−0.460438 | + | 0.887692i | \(0.652308\pi\) | |||||||
\(198\) | −5.69894 | + | 16.8403i | −0.405006 | + | 1.19679i | ||||
\(199\) | −5.42690 | + | 13.1017i | −0.384703 | + | 0.928755i | 0.606339 | + | 0.795206i | \(0.292637\pi\) |
−0.991042 | + | 0.133549i | \(0.957363\pi\) | |||||||
\(200\) | −0.302896 | + | 7.72454i | −0.0214180 | + | 0.546208i | ||||
\(201\) | 0.498831 | + | 17.3055i | 0.0351848 | + | 1.22064i | ||||
\(202\) | 4.20856 | − | 16.2750i | 0.296113 | − | 1.14511i | ||||
\(203\) | −2.34393 | + | 0.153629i | −0.164512 | + | 0.0107827i | ||||
\(204\) | 14.8366 | − | 14.2796i | 1.03877 | − | 0.999774i | ||||
\(205\) | −11.0943 | − | 12.6507i | −0.774863 | − | 0.883562i | ||||
\(206\) | 0.889269 | + | 11.9624i | 0.0619583 | + | 0.833457i | ||||
\(207\) | −2.21665 | + | 1.45618i | −0.154068 | + | 0.101212i | ||||
\(208\) | 4.34707 | + | 8.08828i | 0.301415 | + | 0.560821i | ||||
\(209\) | −1.40339 | − | 0.376037i | −0.0970745 | − | 0.0260110i | ||||
\(210\) | 5.64099 | + | 0.157313i | 0.389265 | + | 0.0108556i | ||||
\(211\) | −18.1761 | − | 6.16996i | −1.25130 | − | 0.424758i | −0.384363 | − | 0.923182i | \(-0.625579\pi\) |
−0.866933 | + | 0.498425i | \(0.833912\pi\) | |||||||
\(212\) | −2.18161 | + | 3.39209i | −0.149834 | + | 0.232969i | ||||
\(213\) | −16.3738 | − | 17.6196i | −1.12191 | − | 1.20728i | ||||
\(214\) | 0.0197623 | + | 2.25782i | 0.00135092 | + | 0.154341i | ||||
\(215\) | 10.7011 | − | 4.43253i | 0.729807 | − | 0.302296i | ||||
\(216\) | −14.6037 | + | 1.65297i | −0.993655 | + | 0.112470i | ||||
\(217\) | 5.08816 | + | 2.10758i | 0.345407 | + | 0.143072i | ||||
\(218\) | −12.9325 | − | 5.22467i | −0.875898 | − | 0.353859i | ||||
\(219\) | −13.2707 | − | 0.486361i | −0.896751 | − | 0.0328653i | ||||
\(220\) | −8.76495 | + | 9.07731i | −0.590933 | + | 0.611992i | ||||
\(221\) | 6.03551 | + | 12.2388i | 0.405992 | + | 0.823270i | ||||
\(222\) | −23.1024 | + | 8.82313i | −1.55053 | + | 0.592170i | ||||
\(223\) | 11.5900 | − | 6.69148i | 0.776122 | − | 0.448094i | −0.0589319 | − | 0.998262i | \(-0.518769\pi\) |
0.835054 | + | 0.550168i | \(0.185436\pi\) | |||||||
\(224\) | 3.13826 | + | 8.06694i | 0.209684 | + | 0.538995i | ||||
\(225\) | 5.45426 | − | 6.12220i | 0.363618 | − | 0.408147i | ||||
\(226\) | 6.52561 | − | 19.7913i | 0.434077 | − | 1.31649i | ||||
\(227\) | −15.4246 | − | 1.01098i | −1.02377 | − | 0.0671013i | −0.455742 | − | 0.890112i | \(-0.650626\pi\) |
−0.568026 | + | 0.823011i | \(0.692293\pi\) | |||||||
\(228\) | −0.211742 | − | 1.18225i | −0.0140230 | − | 0.0782966i | ||||
\(229\) | −8.69227 | − | 7.62292i | −0.574402 | − | 0.503737i | 0.322142 | − | 0.946691i | \(-0.395597\pi\) |
−0.896544 | + | 0.442954i | \(0.853930\pi\) | |||||||
\(230\) | −1.86405 | + | 0.262025i | −0.122912 | + | 0.0172774i | ||||
\(231\) | −8.07610 | − | 7.62356i | −0.531368 | − | 0.501593i | ||||
\(232\) | 4.22206 | + | 1.01328i | 0.277192 | + | 0.0665250i | ||||
\(233\) | −2.27512 | + | 0.942386i | −0.149048 | + | 0.0617377i | −0.455960 | − | 0.890000i | \(-0.650704\pi\) |
0.306912 | + | 0.951738i | \(0.400704\pi\) | |||||||
\(234\) | 1.89113 | − | 9.55409i | 0.123627 | − | 0.624570i | ||||
\(235\) | −7.02288 | + | 4.69254i | −0.458122 | + | 0.306107i | ||||
\(236\) | 8.50976 | + | 2.72351i | 0.553938 | + | 0.177285i | ||||
\(237\) | −18.3512 | − | 15.1809i | −1.19204 | − | 0.986103i | ||||
\(238\) | 4.24130 | + | 12.1442i | 0.274923 | + | 0.787192i | ||||
\(239\) | 3.87459 | + | 14.4602i | 0.250626 | + | 0.935350i | 0.970472 | + | 0.241215i | \(0.0775460\pi\) |
−0.719845 | + | 0.694134i | \(0.755787\pi\) | |||||||
\(240\) | −9.87214 | − | 3.36901i | −0.637244 | − | 0.217469i | ||||
\(241\) | −4.15791 | + | 15.5175i | −0.267834 | + | 0.999571i | 0.692658 | + | 0.721266i | \(0.256439\pi\) |
−0.960493 | + | 0.278305i | \(0.910227\pi\) | |||||||
\(242\) | 9.25132 | − | 0.687733i | 0.594697 | − | 0.0442091i | ||||
\(243\) | 13.0744 | + | 8.48884i | 0.838722 | + | 0.544559i | ||||
\(244\) | −9.79295 | + | 3.51660i | −0.626929 | + | 0.225127i | ||||
\(245\) | 3.10224 | − | 6.29072i | 0.198195 | − | 0.401900i | ||||
\(246\) | −24.8797 | + | 11.4185i | −1.58627 | + | 0.728014i | ||||
\(247\) | 0.789120 | + | 0.103890i | 0.0502105 | + | 0.00661034i | ||||
\(248\) | −7.82743 | − | 6.50898i | −0.497042 | − | 0.413320i | ||||
\(249\) | −0.785625 | − | 2.62677i | −0.0497870 | − | 0.166465i | ||||
\(250\) | 15.1567 | − | 6.43410i | 0.958594 | − | 0.406928i | ||||
\(251\) | 24.3678 | + | 4.84706i | 1.53808 | + | 0.305944i | 0.890119 | − | 0.455728i | \(-0.150621\pi\) |
0.647963 | + | 0.761672i | \(0.275621\pi\) | |||||||
\(252\) | 2.86674 | − | 8.72190i | 0.180588 | − | 0.549428i | ||||
\(253\) | 3.08024 | + | 2.05815i | 0.193653 | + | 0.129395i | ||||
\(254\) | −3.96539 | + | 6.04857i | −0.248811 | + | 0.379521i | ||||
\(255\) | −14.4868 | − | 5.51717i | −0.907198 | − | 0.345499i | ||||
\(256\) | −1.11942 | − | 15.9608i | −0.0699634 | − | 0.997550i | ||||
\(257\) | −3.51469 | + | 6.08763i | −0.219240 | + | 0.379736i | −0.954576 | − | 0.297968i | \(-0.903691\pi\) |
0.735336 | + | 0.677703i | \(0.237025\pi\) | |||||||
\(258\) | −1.93787 | − | 18.7442i | −0.120647 | − | 1.16696i | ||||
\(259\) | 1.01037 | − | 15.4153i | 0.0627814 | − | 0.957860i | ||||
\(260\) | 4.11148 | − | 5.55695i | 0.254983 | − | 0.344627i | ||||
\(261\) | −2.77491 | − | 3.67546i | −0.171762 | − | 0.227505i | ||||
\(262\) | 1.05801 | − | 8.61863i | 0.0653639 | − | 0.532461i | ||||
\(263\) | −22.7680 | + | 2.99747i | −1.40394 | + | 0.184832i | −0.794144 | − | 0.607729i | \(-0.792081\pi\) |
−0.609792 | + | 0.792561i | \(0.708747\pi\) | |||||||
\(264\) | 10.0794 | + | 17.8840i | 0.620345 | + | 1.10069i | ||||
\(265\) | 3.01014 | + | 0.396293i | 0.184912 | + | 0.0243441i | ||||
\(266\) | 0.726393 | + | 0.187838i | 0.0445380 | + | 0.0115171i | ||||
\(267\) | 3.89008 | − | 3.61502i | 0.238069 | − | 0.221236i | ||||
\(268\) | 15.2584 | + | 12.9159i | 0.932058 | + | 0.788962i | ||||
\(269\) | −28.8169 | + | 5.73203i | −1.75699 | + | 0.349488i | −0.965243 | − | 0.261355i | \(-0.915831\pi\) |
−0.791752 | + | 0.610843i | \(0.790831\pi\) | |||||||
\(270\) | 5.81456 | + | 9.41283i | 0.353863 | + | 0.572847i | ||||
\(271\) | 15.2833 | + | 15.2833i | 0.928393 | + | 0.928393i | 0.997602 | − | 0.0692094i | \(-0.0220476\pi\) |
−0.0692094 | + | 0.997602i | \(0.522048\pi\) | |||||||
\(272\) | −0.832294 | − | 23.7631i | −0.0504652 | − | 1.44085i | ||||
\(273\) | 4.93154 | + | 3.56314i | 0.298470 | + | 0.215651i | ||||
\(274\) | 7.24155 | + | 20.7349i | 0.437478 | + | 1.25264i | ||||
\(275\) | −10.8452 | − | 3.68145i | −0.653991 | − | 0.222000i | ||||
\(276\) | −0.457731 | + | 3.02806i | −0.0275522 | + | 0.182268i | ||||
\(277\) | −0.196789 | − | 0.0970457i | −0.0118239 | − | 0.00583091i | 0.436367 | − | 0.899769i | \(-0.356265\pi\) |
−0.448191 | + | 0.893938i | \(0.647932\pi\) | |||||||
\(278\) | −7.37295 | + | 13.0324i | −0.442200 | + | 0.781633i | ||||
\(279\) | 2.02369 | + | 10.6063i | 0.121155 | + | 0.634985i | ||||
\(280\) | 4.48508 | − | 4.72702i | 0.268035 | − | 0.282494i | ||||
\(281\) | 2.24904 | + | 17.0831i | 0.134166 | + | 1.01909i | 0.917568 | + | 0.397579i | \(0.130150\pi\) |
−0.783402 | + | 0.621516i | \(0.786517\pi\) | |||||||
\(282\) | 4.05258 | + | 13.1302i | 0.241328 | + | 0.781895i | ||||
\(283\) | −7.84206 | − | 6.87730i | −0.466162 | − | 0.408813i | 0.393780 | − | 0.919205i | \(-0.371167\pi\) |
−0.859942 | + | 0.510392i | \(0.829500\pi\) | |||||||
\(284\) | −27.7699 | + | 0.486166i | −1.64784 | + | 0.0288486i | ||||
\(285\) | −0.737003 | + | 0.523782i | −0.0436563 | + | 0.0310261i | ||||
\(286\) | −13.3190 | + | 2.77072i | −0.787571 | + | 0.163836i | ||||
\(287\) | − | 17.1006i | − | 1.00942i | ||||||
\(288\) | −9.84048 | + | 13.8262i | −0.579856 | + | 0.814719i | ||||
\(289\) | − | 18.3361i | − | 1.07859i | ||||||
\(290\) | −0.665715 | − | 3.20013i | −0.0390921 | − | 0.187918i | ||||
\(291\) | −2.19186 | − | 23.1827i | −0.128489 | − | 1.35899i | ||||
\(292\) | −10.6513 | + | 11.0309i | −0.623320 | + | 0.645534i | ||||
\(293\) | 3.33099 | + | 2.92120i | 0.194598 | + | 0.170658i | 0.751100 | − | 0.660188i | \(-0.229523\pi\) |
−0.556502 | + | 0.830846i | \(0.687857\pi\) | |||||||
\(294\) | −8.36635 | − | 7.76020i | −0.487935 | − | 0.452584i | ||||
\(295\) | −0.877957 | − | 6.66874i | −0.0511166 | − | 0.388269i | ||||
\(296\) | −10.2313 | + | 26.6598i | −0.594685 | + | 1.54957i | ||||
\(297\) | 3.79852 | − | 21.4402i | 0.220413 | − | 1.24409i | ||||
\(298\) | −23.3795 | − | 13.2267i | −1.35434 | − | 0.766200i | ||||
\(299\) | −1.82016 | − | 0.897602i | −0.105262 | − | 0.0519097i | ||||
\(300\) | −1.05604 | − | 9.40879i | −0.0609705 | − | 0.543217i | ||||
\(301\) | 11.1469 | + | 3.78385i | 0.642495 | + | 0.218098i | ||||
\(302\) | 3.77971 | − | 1.32004i | 0.217498 | − | 0.0759600i | ||||
\(303\) | −2.09807 | + | 20.4812i | −0.120531 | + | 1.17662i | ||||
\(304\) | −1.17940 | − | 0.729668i | −0.0676435 | − | 0.0418493i | ||||
\(305\) | 5.53883 | + | 5.53883i | 0.317153 | + | 0.317153i | ||||
\(306\) | −15.3342 | + | 20.0228i | −0.876600 | + | 1.14463i | ||||
\(307\) | −12.3614 | + | 2.45884i | −0.705504 | + | 0.140334i | −0.534787 | − | 0.844987i | \(-0.679608\pi\) |
−0.170717 | + | 0.985320i | \(0.554608\pi\) | |||||||
\(308\) | −12.7799 | + | 1.06260i | −0.728205 | + | 0.0605472i | ||||
\(309\) | −3.28010 | − | 14.3204i | −0.186598 | − | 0.814660i | ||||
\(310\) | −1.91864 | + | 7.41961i | −0.108971 | + | 0.421406i | ||||
\(311\) | −11.9659 | − | 1.57534i | −0.678522 | − | 0.0893292i | −0.216615 | − | 0.976257i | \(-0.569502\pi\) |
−0.461908 | + | 0.886928i | \(0.652835\pi\) | |||||||
\(312\) | −6.75329 | − | 8.99272i | −0.382330 | − | 0.509113i | ||||
\(313\) | 10.7113 | − | 1.41017i | 0.605441 | − | 0.0797078i | 0.178427 | − | 0.983953i | \(-0.442899\pi\) |
0.427013 | + | 0.904245i | \(0.359566\pi\) | |||||||
\(314\) | −17.7737 | − | 2.18187i | −1.00303 | − | 0.123130i | ||||
\(315\) | −6.85917 | + | 0.848542i | −0.386471 | + | 0.0478099i | ||||
\(316\) | −27.1986 | + | 4.06631i | −1.53004 | + | 0.228748i | ||||
\(317\) | 0.881190 | − | 13.4444i | 0.0494926 | − | 0.755110i | −0.898928 | − | 0.438096i | \(-0.855653\pi\) |
0.948421 | − | 0.317014i | \(-0.102680\pi\) | |||||||
\(318\) | 2.01674 | − | 4.50902i | 0.113093 | − | 0.252853i | ||||
\(319\) | −3.21639 | + | 5.57095i | −0.180083 | + | 0.311913i | ||||
\(320\) | −10.5082 | + | 5.88702i | −0.587426 | + | 0.329094i | ||||
\(321\) | −0.439799 | − | 2.73016i | −0.0245472 | − | 0.152383i | ||||
\(322\) | −1.59990 | − | 1.04888i | −0.0891590 | − | 0.0584519i | ||||
\(323\) | −1.71369 | − | 1.14505i | −0.0953521 | − | 0.0637123i | ||||
\(324\) | 17.3779 | − | 4.69131i | 0.965439 | − | 0.260628i | ||||
\(325\) | 6.15367 | + | 1.22404i | 0.341344 | + | 0.0678975i | ||||
\(326\) | −2.66403 | − | 6.27562i | −0.147547 | − | 0.347574i | ||||
\(327\) | 16.6212 | + | 3.94407i | 0.919154 | + | 0.218107i | ||||
\(328\) | −9.37125 | + | 30.1887i | −0.517441 | + | 1.66689i | ||||
\(329\) | −8.51061 | − | 1.12044i | −0.469205 | − | 0.0617720i | ||||
\(330\) | 8.94077 | − | 12.6054i | 0.492173 | − | 0.693903i | ||||
\(331\) | −0.486965 | + | 0.987467i | −0.0267660 | + | 0.0542761i | −0.909845 | − | 0.414948i | \(-0.863800\pi\) |
0.883079 | + | 0.469224i | \(0.155466\pi\) | |||||||
\(332\) | −2.86347 | − | 1.35032i | −0.157153 | − | 0.0741084i | ||||
\(333\) | 26.3476 | − | 14.9384i | 1.44384 | − | 0.818621i | ||||
\(334\) | 0.452424 | + | 6.08597i | 0.0247556 | + | 0.333010i | ||||
\(335\) | 3.89505 | − | 14.5365i | 0.212809 | − | 0.794215i | ||||
\(336\) | −5.28572 | − | 9.18953i | −0.288359 | − | 0.501330i | ||||
\(337\) | 5.06134 | + | 18.8892i | 0.275708 | + | 1.02896i | 0.955365 | + | 0.295428i | \(0.0954621\pi\) |
−0.679657 | + | 0.733530i | \(0.737871\pi\) | |||||||
\(338\) | −10.3208 | + | 3.60448i | −0.561377 | + | 0.196058i | ||||
\(339\) | −4.25594 | + | 25.1655i | −0.231151 | + | 1.36680i | ||||
\(340\) | −15.9129 | + | 8.19675i | −0.863000 | + | 0.444531i | ||||
\(341\) | 12.5405 | − | 8.37929i | 0.679105 | − | 0.453764i | ||||
\(342\) | 0.474141 | + | 1.39249i | 0.0256386 | + | 0.0752972i | ||||
\(343\) | 16.4816 | − | 6.82689i | 0.889921 | − | 0.368617i | ||||
\(344\) | −17.6046 | − | 12.7884i | −0.949177 | − | 0.689504i | ||||
\(345\) | 2.20876 | − | 0.660606i | 0.118916 | − | 0.0355658i | ||||
\(346\) | −0.165222 | − | 1.17539i | −0.00888238 | − | 0.0631895i | ||||
\(347\) | −13.6279 | − | 11.9514i | −0.731585 | − | 0.641583i | 0.210254 | − | 0.977647i | \(-0.432571\pi\) |
−0.941839 | + | 0.336064i | \(0.890904\pi\) | |||||||
\(348\) | −5.29877 | − | 0.449229i | −0.284044 | − | 0.0240812i | ||||
\(349\) | −0.0193567 | − | 0.00126871i | −0.00103614 | − | 6.79122e-5i | 0.0648851 | − | 0.997893i | \(-0.479332\pi\) |
−0.0659212 | + | 0.997825i | \(0.520999\pi\) | |||||||
\(350\) | 5.61697 | + | 1.85204i | 0.300240 | + | 0.0989956i | ||||
\(351\) | −0.530026 | + | 11.9166i | −0.0282907 | + | 0.636059i | ||||
\(352\) | 23.1434 | + | 5.12763i | 1.23355 | + | 0.273303i | ||||
\(353\) | −15.2025 | + | 8.77717i | −0.809147 | + | 0.467161i | −0.846660 | − | 0.532135i | \(-0.821390\pi\) |
0.0375124 | + | 0.999296i | \(0.488057\pi\) | |||||||
\(354\) | −10.8054 | − | 1.73025i | −0.574300 | − | 0.0919615i | ||||
\(355\) | 9.24760 | + | 18.7523i | 0.490811 | + | 0.995267i | ||||
\(356\) | −0.107336 | − | 6.13107i | −0.00568881 | − | 0.324946i | ||||
\(357\) | −7.37229 | − | 13.9232i | −0.390183 | − | 0.736893i | ||||
\(358\) | −2.70778 | + | 6.70248i | −0.143110 | + | 0.354237i | ||||
\(359\) | −5.87516 | − | 2.43357i | −0.310079 | − | 0.128439i | 0.222217 | − | 0.974997i | \(-0.428671\pi\) |
−0.532296 | + | 0.846558i | \(0.678671\pi\) | |||||||
\(360\) | 12.5739 | + | 2.26089i | 0.662702 | + | 0.119160i | ||||
\(361\) | 17.4426 | − | 7.22498i | 0.918034 | − | 0.380262i | ||||
\(362\) | −8.29459 | + | 0.0726009i | −0.435954 | + | 0.00381582i | ||||
\(363\) | −11.0750 | + | 2.53673i | −0.581285 | + | 0.133144i | ||||
\(364\) | 6.86526 | − | 1.49097i | 0.359837 | − | 0.0781479i | ||||
\(365\) | 10.9309 | + | 3.71053i | 0.572148 | + | 0.194218i | ||||
\(366\) | 11.2097 | − | 6.06173i | 0.585942 | − | 0.316852i | ||||
\(367\) | 9.37211 | + | 2.51125i | 0.489220 | + | 0.131086i | 0.494992 | − | 0.868897i | \(-0.335171\pi\) |
−0.00577257 | + | 0.999983i | \(0.501837\pi\) | |||||||
\(368\) | 2.24960 | + | 2.72840i | 0.117268 | + | 0.142228i | ||||
\(369\) | 28.0216 | − | 18.4083i | 1.45875 | − | 0.958296i | ||||
\(370\) | 21.4377 | − | 1.59365i | 1.11449 | − | 0.0828501i | ||||
\(371\) | 2.03449 | + | 2.31989i | 0.105625 | + | 0.120443i | ||||
\(372\) | 10.6765 | + | 6.43943i | 0.553549 | + | 0.333869i | ||||
\(373\) | −32.9829 | + | 2.16181i | −1.70779 | + | 0.111934i | −0.887737 | − | 0.460352i | \(-0.847723\pi\) |
−0.820054 | + | 0.572286i | \(0.806057\pi\) | |||||||
\(374\) | 34.1058 | + | 8.81940i | 1.76357 | + | 0.456040i | ||||
\(375\) | −17.1669 | + | 10.5822i | −0.886493 | + | 0.546464i | ||||
\(376\) | 14.4102 | + | 6.64185i | 0.743151 | + | 0.342527i | ||||
\(377\) | 1.34858 | − | 3.25577i | 0.0694556 | − | 0.167681i | ||||
\(378\) | −1.86460 | + | 11.0886i | −0.0959048 | + | 0.570338i | ||||
\(379\) | 19.8997 | + | 3.95830i | 1.02218 | + | 0.203324i | 0.677599 | − | 0.735432i | \(-0.263021\pi\) |
0.344582 | + | 0.938756i | \(0.388021\pi\) | |||||||
\(380\) | −0.118135 | + | 1.03734i | −0.00606021 | + | 0.0532143i | ||||
\(381\) | 3.68727 | − | 8.05409i | 0.188904 | − | 0.412624i | ||||
\(382\) | 26.2353 | + | 1.48907i | 1.34232 | + | 0.0761873i | ||||
\(383\) | 13.9801 | − | 24.2143i | 0.714350 | − | 1.23729i | −0.248859 | − | 0.968540i | \(-0.580056\pi\) |
0.963210 | − | 0.268751i | \(-0.0866109\pi\) | |||||||
\(384\) | 4.29524 | + | 19.1194i | 0.219191 | + | 0.975682i | ||||
\(385\) | 4.82700 | + | 8.36061i | 0.246007 | + | 0.426096i | ||||
\(386\) | 16.5565 | + | 32.8454i | 0.842704 | + | 1.67179i | ||||
\(387\) | 5.79891 | + | 22.3388i | 0.294775 | + | 1.13554i | ||||
\(388\) | −21.6153 | − | 15.9927i | −1.09735 | − | 0.811909i | ||||
\(389\) | 9.14622 | + | 26.9439i | 0.463732 | + | 1.36611i | 0.887696 | + | 0.460430i | \(0.152305\pi\) |
−0.423964 | + | 0.905679i | \(0.639362\pi\) | |||||||
\(390\) | −3.95470 | + | 7.48574i | −0.200254 | + | 0.379055i | ||||
\(391\) | 3.19916 | + | 4.16923i | 0.161789 | + | 0.210847i | ||||
\(392\) | −13.1212 | + | 1.20670i | −0.662720 | + | 0.0609475i | ||||
\(393\) | 0.306422 | + | 10.6304i | 0.0154569 | + | 0.536235i | ||||
\(394\) | 7.74666 | − | 7.88346i | 0.390271 | − | 0.397163i | ||||
\(395\) | 11.5019 | + | 17.2138i | 0.578722 | + | 0.866119i | ||||
\(396\) | −15.4984 | − | 19.7977i | −0.778823 | − | 0.994873i | ||||
\(397\) | 32.5402 | − | 6.47265i | 1.63315 | − | 0.324853i | 0.708510 | − | 0.705701i | \(-0.249368\pi\) |
0.924638 | + | 0.380848i | \(0.124368\pi\) | |||||||
\(398\) | −11.2876 | − | 16.5771i | −0.565796 | − | 0.830937i | ||||
\(399\) | −0.914125 | − | 0.0936419i | −0.0457635 | − | 0.00468796i | ||||
\(400\) | −8.90102 | − | 6.34764i | −0.445051 | − | 0.317382i | ||||
\(401\) | 8.88399 | + | 33.1555i | 0.443645 | + | 1.65571i | 0.719488 | + | 0.694505i | \(0.244376\pi\) |
−0.275843 | + | 0.961203i | \(0.588957\pi\) | |||||||
\(402\) | −20.8541 | − | 12.8283i | −1.04011 | − | 0.639815i | ||||
\(403\) | −6.21202 | + | 5.44780i | −0.309443 | + | 0.271374i | ||||
\(404\) | 15.9854 | + | 17.5967i | 0.795303 | + | 0.875469i | ||||
\(405\) | −8.77412 | − | 10.3262i | −0.435990 | − | 0.513114i | ||||
\(406\) | 1.63572 | − | 2.89130i | 0.0811795 | − | 0.143493i | ||||
\(407\) | −33.5639 | − | 25.7545i | −1.66370 | − | 1.27660i | ||||
\(408\) | 5.38470 | + | 28.6194i | 0.266583 | + | 1.41687i | ||||
\(409\) | −4.45790 | + | 3.42066i | −0.220429 | + | 0.169141i | −0.713073 | − | 0.701090i | \(-0.752697\pi\) |
0.492644 | + | 0.870231i | \(0.336030\pi\) | |||||||
\(410\) | 23.5643 | − | 3.31237i | 1.16376 | − | 0.163586i | ||||
\(411\) | −12.5874 | − | 23.7723i | −0.620889 | − | 1.17260i | ||||
\(412\) | −14.8375 | − | 8.22354i | −0.730990 | − | 0.405145i | ||||
\(413\) | 3.79785 | − | 5.68388i | 0.186880 | − | 0.279686i | ||||
\(414\) | −0.00351319 | − | 3.75073i | −0.000172664 | − | 0.184338i | ||||
\(415\) | 2.38329i | 0.116991i | ||||||||
\(416\) | −12.9367 | − | 1.13012i | −0.634273 | − | 0.0554088i | ||||
\(417\) | 6.52682 | − | 17.1379i | 0.319620 | − | 0.839246i | ||||
\(418\) | 1.53289 | − | 1.36823i | 0.0749763 | − | 0.0669224i | ||||
\(419\) | 2.80243 | + | 5.68276i | 0.136908 | + | 0.277621i | 0.954519 | − | 0.298149i | \(-0.0963691\pi\) |
−0.817612 | + | 0.575770i | \(0.804702\pi\) | |||||||
\(420\) | −4.55993 | + | 6.54966i | −0.222502 | + | 0.319591i | ||||
\(421\) | −4.67361 | + | 1.58648i | −0.227778 | + | 0.0773202i | −0.432995 | − | 0.901396i | \(-0.642543\pi\) |
0.205217 | + | 0.978716i | \(0.434210\pi\) | |||||||
\(422\) | 21.3905 | − | 16.7130i | 1.04127 | − | 0.813577i | ||||
\(423\) | −7.32540 | − | 15.1519i | −0.356173 | − | 0.736708i | ||||
\(424\) | −2.32028 | − | 5.21034i | −0.112683 | − | 0.253037i | ||||
\(425\) | −12.8895 | − | 9.89049i | −0.625235 | − | 0.479759i | ||||
\(426\) | 33.5346 | − | 5.70362i | 1.62476 | − | 0.276341i | ||||
\(427\) | 0.520661 | + | 7.94376i | 0.0251966 | + | 0.384425i | ||||
\(428\) | −2.68566 | − | 1.72728i | −0.129816 | − | 0.0834912i | ||||
\(429\) | 15.6165 | − | 5.80808i | 0.753974 | − | 0.280417i | ||||
\(430\) | −3.05494 | + | 16.0931i | −0.147322 | + | 0.776078i | ||||
\(431\) | −28.8674 | + | 28.8674i | −1.39049 | + | 1.39049i | −0.566287 | + | 0.824208i | \(0.691620\pi\) |
−0.824208 | + | 0.566287i | \(0.808380\pi\) | |||||||
\(432\) | 9.36833 | − | 18.5536i | 0.450734 | − | 0.892658i | ||||
\(433\) | −3.15170 | − | 3.15170i | −0.151461 | − | 0.151461i | 0.627309 | − | 0.778770i | \(-0.284156\pi\) |
−0.778770 | + | 0.627309i | \(0.784156\pi\) | |||||||
\(434\) | −6.43788 | + | 4.38364i | −0.309028 | + | 0.210421i | ||||
\(435\) | 1.39549 | + | 3.75215i | 0.0669088 | + | 0.179902i | ||||
\(436\) | 16.2068 | − | 11.2443i | 0.776163 | − | 0.538503i | ||||
\(437\) | 0.305861 | − | 0.0200472i | 0.0146313 | − | 0.000958989i | ||||
\(438\) | 10.8650 | − | 15.3182i | 0.519148 | − | 0.731934i | ||||
\(439\) | −12.5996 | + | 16.4201i | −0.601347 | + | 0.783690i | −0.990504 | − | 0.137481i | \(-0.956099\pi\) |
0.389158 | + | 0.921171i | \(0.372766\pi\) | |||||||
\(440\) | −3.93970 | − | 17.4047i | −0.187818 | − | 0.829735i | ||||
\(441\) | 11.5595 | + | 7.85516i | 0.550450 | + | 0.374055i | ||||
\(442\) | −19.1547 | − | 2.35139i | −0.911095 | − | 0.111844i | ||||
\(443\) | 3.20254 | + | 9.43436i | 0.152157 | + | 0.448240i | 0.996104 | − | 0.0881865i | \(-0.0281071\pi\) |
−0.843947 | + | 0.536427i | \(0.819774\pi\) | |||||||
\(444\) | 7.47778 | − | 34.1646i | 0.354880 | − | 1.62138i | ||||
\(445\) | −4.14015 | + | 2.04170i | −0.196262 | + | 0.0967857i | ||||
\(446\) | −1.07250 | + | 18.8959i | −0.0507842 | + | 0.894749i | ||||
\(447\) | 30.7444 | + | 11.7088i | 1.45416 | + | 0.553805i | ||||
\(448\) | −11.9742 | − | 2.54324i | −0.565725 | − | 0.120157i | ||||
\(449\) | −19.7786 | −0.933409 | −0.466704 | − | 0.884413i | \(-0.654559\pi\) | ||||
−0.466704 | + | 0.884413i | \(0.654559\pi\) | |||||||
\(450\) | 3.01168 | + | 11.1978i | 0.141972 | + | 0.527869i | ||||
\(451\) | −38.9387 | − | 26.0180i | −1.83355 | − | 1.22514i | ||||
\(452\) | 18.3475 | + | 23.0635i | 0.862993 | + | 1.08482i | ||||
\(453\) | −4.33339 | + | 2.29452i | −0.203600 | + | 0.107806i | ||||
\(454\) | 13.1555 | − | 17.4589i | 0.617420 | − | 0.819388i | ||||
\(455\) | −3.21954 | − | 4.19579i | −0.150934 | − | 0.196702i | ||||
\(456\) | 1.56244 | + | 0.666258i | 0.0731679 | + | 0.0312004i | ||||
\(457\) | 13.8698 | − | 18.0754i | 0.648800 | − | 0.845532i | −0.346926 | − | 0.937893i | \(-0.612774\pi\) |
0.995726 | + | 0.0923602i | \(0.0294411\pi\) | |||||||
\(458\) | 15.7554 | − | 4.36981i | 0.736203 | − | 0.204188i | ||||
\(459\) | 14.8789 | − | 27.0683i | 0.694488 | − | 1.26344i | ||||
\(460\) | 1.13544 | − | 2.40780i | 0.0529401 | − | 0.112264i | ||||
\(461\) | 3.35532 | + | 3.82600i | 0.156273 | + | 0.178195i | 0.824678 | − | 0.565602i | \(-0.191356\pi\) |
−0.668406 | + | 0.743797i | \(0.733023\pi\) | |||||||
\(462\) | 15.2784 | − | 3.64056i | 0.710817 | − | 0.169374i | ||||
\(463\) | −12.2532 | + | 3.28324i | −0.569456 | + | 0.152585i | −0.532047 | − | 0.846715i | \(-0.678577\pi\) |
−0.0374088 | + | 0.999300i | \(0.511910\pi\) | |||||||
\(464\) | −4.47208 | + | 4.20779i | −0.207611 | + | 0.195342i | ||||
\(465\) | 0.956489 | − | 9.33718i | 0.0443561 | − | 0.433001i | ||||
\(466\) | 0.649500 | − | 3.42150i | 0.0300875 | − | 0.158498i | ||||
\(467\) | 5.25678 | + | 26.4276i | 0.243255 | + | 1.22292i | 0.888474 | + | 0.458927i | \(0.151766\pi\) |
−0.645219 | + | 0.763998i | \(0.723234\pi\) | |||||||
\(468\) | 9.83337 | + | 9.64463i | 0.454548 | + | 0.445823i | ||||
\(469\) | 12.7171 | − | 8.49727i | 0.587219 | − | 0.392367i | ||||
\(470\) | −0.104548 | − | 11.9445i | −0.00482242 | − | 0.550958i | ||||
\(471\) | 21.9226 | − | 0.631918i | 1.01014 | − | 0.0291172i | ||||
\(472\) | −9.81936 | + | 7.95282i | −0.451973 | + | 0.366058i | ||||
\(473\) | 25.5755 | − | 19.6248i | 1.17596 | − | 0.902349i | ||||
\(474\) | 32.1836 | − | 9.93329i | 1.47824 | − | 0.456251i | ||||
\(475\) | −0.897337 | + | 0.304605i | −0.0411726 | + | 0.0139762i | ||||
\(476\) | −17.6516 | − | 4.40008i | −0.809062 | − | 0.201677i | ||||
\(477\) | −1.61138 | + | 5.83106i | −0.0737799 | + | 0.266986i | ||||
\(478\) | −20.1064 | − | 6.62951i | −0.919644 | − | 0.303227i | ||||
\(479\) | 32.9045 | − | 18.9974i | 1.50345 | − | 0.868015i | 0.503454 | − | 0.864022i | \(-0.332062\pi\) |
0.999992 | − | 0.00399305i | \(-0.00127103\pi\) | |||||||
\(480\) | 11.6391 | − | 9.06361i | 0.531252 | − | 0.413695i | ||||
\(481\) | 20.0713 | + | 11.5882i | 0.915173 | + | 0.528375i | ||||
\(482\) | −15.1287 | − | 16.9494i | −0.689096 | − | 0.772026i | ||||
\(483\) | 2.13038 | + | 0.975314i | 0.0969356 | + | 0.0443783i | ||||
\(484\) | −6.35984 | + | 11.4748i | −0.289083 | + | 0.521584i | ||||
\(485\) | −3.94897 | + | 19.8528i | −0.179314 | + | 0.901471i | ||||
\(486\) | −20.1773 | + | 8.88116i | −0.915263 | + | 0.402858i | ||||
\(487\) | −35.2654 | − | 14.6074i | −1.59803 | − | 0.661925i | −0.606893 | − | 0.794783i | \(-0.707584\pi\) |
−0.991135 | + | 0.132858i | \(0.957584\pi\) | |||||||
\(488\) | 3.43408 | − | 14.3089i | 0.155453 | − | 0.647732i | ||||
\(489\) | 4.38157 | + | 7.10792i | 0.198141 | + | 0.321431i | ||||
\(490\) | 5.03469 | + | 8.54670i | 0.227444 | + | 0.386101i | ||||
\(491\) | 0.859747 | + | 13.1172i | 0.0387998 | + | 0.591971i | 0.972351 | + | 0.233526i | \(0.0750263\pi\) |
−0.933551 | + | 0.358445i | \(0.883307\pi\) | |||||||
\(492\) | 5.78638 | − | 38.2790i | 0.260870 | − | 1.72575i | ||||
\(493\) | −6.86079 | + | 6.01675i | −0.308995 | + | 0.270981i | ||||
\(494\) | −0.734733 | + | 0.852745i | −0.0330572 | + | 0.0383668i | ||||
\(495\) | −8.50383 | + | 16.9096i | −0.382219 | + | 0.760029i | ||||
\(496\) | 13.7674 | − | 4.21068i | 0.618174 | − | 0.189065i | ||||
\(497\) | −5.49975 | + | 20.5253i | −0.246697 | + | 0.920687i | ||||
\(498\) | 3.71585 | + | 1.10756i | 0.166511 | + | 0.0496310i | ||||
\(499\) | −10.0362 | + | 29.5658i | −0.449283 | + | 1.32355i | 0.452657 | + | 0.891685i | \(0.350476\pi\) |
−0.901940 | + | 0.431861i | \(0.857857\pi\) | |||||||
\(500\) | −4.14244 | + | 22.9148i | −0.185255 | + | 1.02478i | ||||
\(501\) | −1.66878 | − | 7.28565i | −0.0745557 | − | 0.325499i | ||||
\(502\) | −24.6268 | + | 25.0617i | −1.09915 | + | 1.11856i | ||||
\(503\) | 10.3803 | + | 25.0602i | 0.462833 | + | 1.11738i | 0.967229 | + | 0.253906i | \(0.0817152\pi\) |
−0.504396 | + | 0.863473i | \(0.668285\pi\) | |||||||
\(504\) | 8.09265 | + | 10.1532i | 0.360475 | + | 0.452261i | ||||
\(505\) | 6.84880 | − | 16.5345i | 0.304768 | − | 0.735774i | ||||
\(506\) | −4.82253 | + | 2.04719i | −0.214388 | + | 0.0910087i | ||||
\(507\) | 11.8327 | − | 6.26536i | 0.525507 | − | 0.278254i | ||||
\(508\) | −4.07903 | − | 9.37980i | −0.180978 | − | 0.416161i | ||||
\(509\) | 12.8838 | − | 6.35359i | 0.571065 | − | 0.281618i | −0.133743 | − | 0.991016i | \(-0.542700\pi\) |
0.704808 | + | 0.709398i | \(0.251033\pi\) | |||||||
\(510\) | 17.7579 | − | 12.8558i | 0.786331 | − | 0.569263i | ||||
\(511\) | 5.86584 | + | 10.1599i | 0.259490 | + | 0.449449i | ||||
\(512\) | 19.7449 | + | 11.0516i | 0.872610 | + | 0.488418i | ||||
\(513\) | −0.830582 | − | 1.59871i | −0.0366711 | − | 0.0705850i | ||||
\(514\) | −4.47468 | − | 8.87703i | −0.197370 | − | 0.391549i | ||||
\(515\) | −0.835237 | + | 12.7432i | −0.0368049 | + | 0.561535i | ||||
\(516\) | 23.6714 | + | 12.2418i | 1.04208 | + | 0.538914i | ||||
\(517\) | −15.4999 | + | 17.6742i | −0.681684 | + | 0.777311i | ||||
\(518\) | 17.4484 | + | 13.1476i | 0.766637 | + | 0.577671i | ||||
\(519\) | 0.416550 | + | 1.39275i | 0.0182845 | + | 0.0611350i | ||||
\(520\) | 3.38431 | + | 9.17139i | 0.148412 | + | 0.402192i | ||||
\(521\) | −7.13274 | − | 17.2200i | −0.312491 | − | 0.754420i | −0.999611 | − | 0.0278763i | \(-0.991126\pi\) |
0.687120 | − | 0.726544i | \(-0.258874\pi\) | |||||||
\(522\) | 6.49858 | − | 0.432053i | 0.284435 | − | 0.0189104i | ||||
\(523\) | −3.84346 | − | 5.75214i | −0.168063 | − | 0.251524i | 0.737872 | − | 0.674940i | \(-0.235831\pi\) |
−0.905935 | + | 0.423417i | \(0.860831\pi\) | |||||||
\(524\) | 9.37296 | + | 7.93397i | 0.409460 | + | 0.346597i | ||||
\(525\) | −7.14224 | − | 1.20788i | −0.311713 | − | 0.0527162i | ||||
\(526\) | 14.1086 | − | 29.2521i | 0.615164 | − | 1.27545i | ||||
\(527\) | 20.6663 | − | 5.53751i | 0.900237 | − | 0.241218i | ||||
\(528\) | −28.9669 | − | 1.94580i | −1.26062 | − | 0.0846800i | ||||
\(529\) | 21.4614 | + | 5.75056i | 0.933103 | + | 0.250024i | ||||
\(530\) | −2.80268 | + | 3.25285i | −0.121741 | + | 0.141295i | ||||
\(531\) | 13.4020 | + | 0.104751i | 0.581599 | + | 0.00454582i | ||||
\(532\) | −0.785382 | + | 0.713466i | −0.0340506 | + | 0.0309327i | ||||
\(533\) | 23.0094 | + | 11.3470i | 0.996648 | + | 0.491492i | ||||
\(534\) | 1.25925 | + | 7.40382i | 0.0544932 | + | 0.320395i | ||||
\(535\) | −0.313763 | + | 2.38326i | −0.0135651 | + | 0.103037i | ||||
\(536\) | −27.1067 | + | 8.03166i | −1.17083 | + | 0.346915i | ||||
\(537\) | 2.04408 | − | 8.61422i | 0.0882086 | − | 0.371731i | ||||
\(538\) | 15.5645 | − | 38.5264i | 0.671033 | − | 1.66099i | ||||
\(539\) | 3.80848 | − | 19.1465i | 0.164043 | − | 0.824699i | ||||
\(540\) | −15.6411 | − | 0.421530i | −0.673085 | − | 0.0181397i | ||||
\(541\) | −25.5854 | + | 38.2912i | −1.10000 | + | 1.64627i | −0.432566 | + | 0.901602i | \(0.642392\pi\) |
−0.667436 | + | 0.744667i | \(0.732608\pi\) | |||||||
\(542\) | −29.9259 | + | 6.22540i | −1.28543 | + | 0.267404i | ||||
\(543\) | 10.0298 | − | 1.61569i | 0.430422 | − | 0.0693361i | ||||
\(544\) | 28.7501 | + | 17.4409i | 1.23265 | + | 0.747773i | ||||
\(545\) | −12.8600 | − | 7.42470i | −0.550860 | − | 0.318039i | ||||
\(546\) | −8.03794 | + | 3.06980i | −0.343992 | + | 0.131375i | ||||
\(547\) | −13.1654 | − | 0.862905i | −0.562911 | − | 0.0368952i | −0.218708 | − | 0.975790i | \(-0.570184\pi\) |
−0.344203 | + | 0.938895i | \(0.611851\pi\) | |||||||
\(548\) | −30.1382 | − | 7.51264i | −1.28744 | − | 0.320924i | ||||
\(549\) | −12.4564 | + | 9.40436i | −0.531626 | + | 0.401368i | ||||
\(550\) | 12.7632 | − | 9.97222i | 0.544223 | − | 0.425217i | ||||
\(551\) | 0.0694726 | + | 0.527697i | 0.00295963 | + | 0.0224806i | ||||
\(552\) | −3.22639 | − | 2.88924i | −0.137324 | − | 0.122974i | ||||
\(553\) | −2.74632 | + | 20.8604i | −0.116785 | + | 0.887073i | ||||
\(554\) | 0.267362 | − | 0.157498i | 0.0113591 | − | 0.00669143i | ||||
\(555\) | −25.6635 | + | 5.87824i | −1.08936 | + | 0.249518i | ||||
\(556\) | −9.69676 | − | 18.8250i | −0.411234 | − | 0.798359i | ||||
\(557\) | 0.760760 | + | 3.82460i | 0.0322344 | + | 0.162053i | 0.993550 | − | 0.113397i | \(-0.0361731\pi\) |
−0.961315 | + | 0.275450i | \(0.911173\pi\) | |||||||
\(558\) | −14.1133 | − | 5.83045i | −0.597464 | − | 0.246822i | ||||
\(559\) | −12.4877 | + | 12.4877i | −0.528173 | + | 0.528173i | ||||
\(560\) | 2.11308 | + | 8.96974i | 0.0892938 | + | 0.379041i | ||||
\(561\) | −42.9202 | − | 4.39670i | −1.81209 | − | 0.185629i | ||||
\(562\) | −21.9482 | − | 10.5859i | −0.925829 | − | 0.446537i | ||||
\(563\) | −11.0616 | + | 32.5864i | −0.466190 | + | 1.37335i | 0.418942 | + | 0.908013i | \(0.362401\pi\) |
−0.885132 | + | 0.465340i | \(0.845932\pi\) | |||||||
\(564\) | −18.6715 | − | 5.38782i | −0.786212 | − | 0.226868i | ||||
\(565\) | 9.81267 | − | 19.8981i | 0.412822 | − | 0.837120i | ||||
\(566\) | 14.2144 | − | 3.94239i | 0.597474 | − | 0.165711i | ||||
\(567\) | 0.215264 | − | 13.7697i | 0.00904022 | − | 0.578274i | ||||
\(568\) | 20.9570 | − | 33.2206i | 0.879337 | − | 1.39390i | ||||
\(569\) | −33.8028 | + | 4.45023i | −1.41709 | + | 0.186563i | −0.799844 | − | 0.600208i | \(-0.795085\pi\) |
−0.617245 | + | 0.786771i | \(0.711751\pi\) | |||||||
\(570\) | −0.0480284 | − | 1.27778i | −0.00201169 | − | 0.0535205i | ||||
\(571\) | 17.4028 | − | 19.8440i | 0.728282 | − | 0.830447i | −0.262638 | − | 0.964894i | \(-0.584593\pi\) |
0.990921 | + | 0.134447i | \(0.0429259\pi\) | |||||||
\(572\) | 7.05027 | − | 17.9009i | 0.294786 | − | 0.748473i | ||||
\(573\) | −32.0404 | + | 3.02933i | −1.33851 | + | 0.126552i | ||||
\(574\) | 20.2250 | + | 13.2594i | 0.844177 | + | 0.553435i | ||||
\(575\) | 2.41625 | 0.100764 | ||||||||
\(576\) | −8.72236 | − | 22.3589i | −0.363432 | − | 0.931621i | ||||
\(577\) | 42.9016 | 1.78602 | 0.893009 | − | 0.450040i | \(-0.148590\pi\) | ||||
0.893009 | + | 0.450040i | \(0.148590\pi\) | |||||||
\(578\) | 21.6862 | + | 14.2173i | 0.902029 | + | 0.591363i | ||||
\(579\) | −26.0967 | − | 36.7202i | −1.08454 | − | 1.52604i | ||||
\(580\) | 4.30100 | + | 1.69395i | 0.178589 | + | 0.0703374i | ||||
\(581\) | −1.59703 | + | 1.82107i | −0.0662562 | + | 0.0755507i | ||||
\(582\) | 29.1179 | + | 15.3829i | 1.20697 | + | 0.637643i | ||||
\(583\) | 8.37787 | − | 1.10297i | 0.346976 | − | 0.0456802i | ||||
\(584\) | −4.78758 | − | 21.1504i | −0.198111 | − | 0.875211i | ||||
\(585\) | 3.40961 | − | 9.79227i | 0.140970 | − | 0.404860i | ||||
\(586\) | −6.03768 | + | 1.67457i | −0.249414 | + | 0.0691757i | ||||
\(587\) | 0.656596 | − | 1.33145i | 0.0271006 | − | 0.0549546i | −0.882901 | − | 0.469558i | \(-0.844413\pi\) |
0.910002 | + | 0.414604i | \(0.136080\pi\) | |||||||
\(588\) | 15.6651 | − | 3.87789i | 0.646017 | − | 0.159922i | ||||
\(589\) | 0.401129 | − | 1.18169i | 0.0165282 | − | 0.0486906i | ||||
\(590\) | 8.56792 | + | 4.13240i | 0.352736 | + | 0.170128i | ||||
\(591\) | −7.92771 | + | 10.9723i | −0.326102 | + | 0.451339i | ||||
\(592\) | −23.5976 | − | 32.7719i | −0.969855 | − | 1.34692i | ||||
\(593\) | −3.62289 | + | 3.62289i | −0.148774 | + | 0.148774i | −0.777570 | − | 0.628796i | \(-0.783548\pi\) |
0.628796 | + | 0.777570i | \(0.283548\pi\) | |||||||
\(594\) | 22.4122 | + | 21.1167i | 0.919586 | + | 0.866430i | ||||
\(595\) | 2.67174 | + | 13.4317i | 0.109531 | + | 0.550647i | ||||
\(596\) | 33.7711 | − | 17.3955i | 1.38332 | − | 0.712546i | ||||
\(597\) | 16.7206 | + | 17.9928i | 0.684327 | + | 0.736396i | ||||
\(598\) | 2.47290 | − | 1.45674i | 0.101124 | − | 0.0595704i | ||||
\(599\) | 1.31887 | − | 10.0178i | 0.0538877 | − | 0.409318i | −0.943148 | − | 0.332374i | \(-0.892150\pi\) |
0.997035 | − | 0.0769440i | \(-0.0245163\pi\) | |||||||
\(600\) | 11.9467 | + | 6.04633i | 0.487721 | + | 0.246841i | ||||
\(601\) | 2.12783 | + | 16.1625i | 0.0867962 | + | 0.659282i | 0.978438 | + | 0.206541i | \(0.0662206\pi\) |
−0.891642 | + | 0.452742i | \(0.850446\pi\) | |||||||
\(602\) | −13.1182 | + | 10.2496i | −0.534657 | + | 0.417742i | ||||
\(603\) | 27.6134 | + | 11.6915i | 1.12450 | + | 0.476115i | ||||
\(604\) | −1.36946 | + | 5.49382i | −0.0557225 | + | 0.223540i | ||||
\(605\) | 9.85524 | + | 0.645946i | 0.400672 | + | 0.0262615i | ||||
\(606\) | −22.5965 | − | 18.3620i | −0.917921 | − | 0.745905i | ||||
\(607\) | −4.11237 | − | 2.37428i | −0.166916 | − | 0.0963690i | 0.414215 | − | 0.910179i | \(-0.364056\pi\) |
−0.581131 | + | 0.813810i | \(0.697390\pi\) | |||||||
\(608\) | 1.77746 | − | 0.829125i | 0.0720856 | − | 0.0336255i | ||||
\(609\) | −1.44801 | + | 3.80212i | −0.0586761 | + | 0.154070i | ||||
\(610\) | −10.8455 | + | 2.25616i | −0.439121 | + | 0.0913491i | ||||
\(611\) | 7.15474 | − | 10.7078i | 0.289450 | − | 0.433192i | ||||
\(612\) | −11.7913 | − | 33.6610i | −0.476636 | − | 1.36067i | ||||
\(613\) | 5.06297 | − | 25.4533i | 0.204492 | − | 1.02805i | −0.733050 | − | 0.680175i | \(-0.761904\pi\) |
0.937541 | − | 0.347874i | \(-0.113096\pi\) | |||||||
\(614\) | 6.67663 | − | 16.5265i | 0.269447 | − | 0.666954i | ||||
\(615\) | −27.9219 | + | 8.35100i | −1.12592 | + | 0.336745i | ||||
\(616\) | 8.65248 | − | 15.9388i | 0.348618 | − | 0.642194i | ||||
\(617\) | 4.01735 | − | 30.5148i | 0.161733 | − | 1.22848i | −0.697383 | − | 0.716699i | \(-0.745652\pi\) |
0.859115 | − | 0.511782i | \(-0.171014\pi\) | |||||||
\(618\) | 19.4802 | + | 7.22426i | 0.783607 | + | 0.290602i | ||||
\(619\) | −3.08461 | − | 1.52116i | −0.123981 | − | 0.0611406i | 0.379240 | − | 0.925298i | \(-0.376185\pi\) |
−0.503221 | + | 0.864158i | \(0.667852\pi\) | |||||||
\(620\) | −7.28757 | − | 8.02216i | −0.292676 | − | 0.322178i | ||||
\(621\) | 0.695104 | + | 4.54079i | 0.0278936 | + | 0.182216i | ||||
\(622\) | 11.1412 | − | 12.9307i | 0.446721 | − | 0.518472i | ||||
\(623\) | −4.53161 | − | 1.21424i | −0.181555 | − | 0.0486475i | ||||
\(624\) | 15.8721 | − | 1.01445i | 0.635392 | − | 0.0406105i | ||||
\(625\) | 3.73260 | − | 1.00015i | 0.149304 | − | 0.0400059i | ||||
\(626\) | −6.63746 | + | 13.7618i | −0.265286 | + | 0.550032i | ||||
\(627\) | −1.60403 | + | 1.93902i | −0.0640590 | + | 0.0774370i | ||||
\(628\) | 16.3618 | − | 19.3294i | 0.652907 | − | 0.771325i | ||||
\(629\) | −33.3422 | − | 49.9002i | −1.32944 | − | 1.98965i | ||||
\(630\) | 4.31484 | − | 8.77033i | 0.171907 | − | 0.349418i | ||||
\(631\) | 15.5126 | + | 37.4508i | 0.617548 | + | 1.49089i | 0.854542 | + | 0.519382i | \(0.173838\pi\) |
−0.236994 | + | 0.971511i | \(0.576162\pi\) | |||||||
\(632\) | 16.2798 | − | 35.3209i | 0.647577 | − | 1.40499i | ||||
\(633\) | −22.8216 | + | 24.1763i | −0.907077 | + | 0.960922i | ||||
\(634\) | 15.2175 | + | 11.4666i | 0.604364 | + | 0.455396i | ||||
\(635\) | −5.07693 | + | 5.78913i | −0.201472 | + | 0.229735i | ||||
\(636\) | 3.76913 | + | 5.88139i | 0.149456 | + | 0.233212i | ||||
\(637\) | −0.699446 | + | 10.6715i | −0.0277131 | + | 0.422820i | ||||
\(638\) | −4.09490 | − | 8.12361i | −0.162119 | − | 0.321617i | ||||
\(639\) | −39.5537 | + | 13.0828i | −1.56472 | + | 0.517548i | ||||
\(640\) | 1.18515 | − | 16.9928i | 0.0468471 | − | 0.671698i | ||||
\(641\) | 22.3562 | + | 38.7221i | 0.883016 | + | 1.52943i | 0.847970 | + | 0.530044i | \(0.177824\pi\) |
0.0350460 | + | 0.999386i | \(0.488842\pi\) | |||||||
\(642\) | 3.56999 | + | 1.59674i | 0.140896 | + | 0.0630184i | ||||
\(643\) | −32.9235 | + | 16.2361i | −1.29838 | + | 0.640288i | −0.954355 | − | 0.298674i | \(-0.903456\pi\) |
−0.344021 | + | 0.938962i | \(0.611789\pi\) | |||||||
\(644\) | 2.48104 | − | 1.07894i | 0.0977666 | − | 0.0425162i | ||||
\(645\) | 0.734761 | − | 20.0484i | 0.0289312 | − | 0.789407i | ||||
\(646\) | 2.68301 | − | 1.13895i | 0.105561 | − | 0.0448114i | ||||
\(647\) | 6.41435 | − | 15.4856i | 0.252174 | − | 0.608802i | −0.746205 | − | 0.665716i | \(-0.768126\pi\) |
0.998379 | + | 0.0569142i | \(0.0181262\pi\) | |||||||
\(648\) | −7.92592 | + | 24.1905i | −0.311360 | + | 0.950292i | ||||
\(649\) | −7.16409 | − | 17.2957i | −0.281215 | − | 0.678914i | ||||
\(650\) | −6.21907 | + | 6.32890i | −0.243932 | + | 0.248240i | ||||
\(651\) | 6.98765 | − | 6.49357i | 0.273868 | − | 0.254503i | ||||
\(652\) | 9.48784 | + | 1.71517i | 0.371573 | + | 0.0671714i | ||||
\(653\) | 14.8210 | − | 43.6613i | 0.579991 | − | 1.70860i | −0.118477 | − | 0.992957i | \(-0.537801\pi\) |
0.698468 | − | 0.715642i | \(-0.253866\pi\) | |||||||
\(654\) | −17.5523 | + | 16.5999i | −0.686349 | + | 0.649106i | ||||
\(655\) | 2.39265 | − | 8.92951i | 0.0934887 | − | 0.348905i | ||||
\(656\) | −28.4381 | − | 34.4909i | −1.11032 | − | 1.34664i | ||||
\(657\) | −10.3340 | + | 20.5488i | −0.403167 | + | 0.801684i | ||||
\(658\) | 7.92406 | − | 9.19680i | 0.308912 | − | 0.358529i | ||||
\(659\) | −0.741644 | + | 0.650404i | −0.0288904 | + | 0.0253362i | −0.673669 | − | 0.739033i | \(-0.735283\pi\) |
0.644779 | + | 0.764369i | \(0.276949\pi\) | |||||||
\(660\) | 7.97603 | + | 20.3482i | 0.310467 | + | 0.792052i | ||||
\(661\) | −1.28748 | − | 19.6432i | −0.0500773 | − | 0.764032i | −0.946877 | − | 0.321596i | \(-0.895781\pi\) |
0.896800 | − | 0.442437i | \(-0.145886\pi\) | |||||||
\(662\) | −0.790305 | − | 1.34159i | −0.0307161 | − | 0.0521425i | ||||
\(663\) | 23.6259 | − | 0.681015i | 0.917553 | − | 0.0264484i | ||||
\(664\) | 3.81729 | − | 2.33965i | 0.148140 | − | 0.0907959i | ||||
\(665\) | 0.737972 | + | 0.305678i | 0.0286173 | + | 0.0118537i | ||||
\(666\) | −2.76140 | + | 42.7443i | −0.107002 | + | 1.65631i | ||||
\(667\) | 0.264762 | − | 1.33105i | 0.0102516 | − | 0.0515383i | ||||
\(668\) | −7.54872 | − | 4.18381i | −0.292069 | − | 0.161877i | ||||
\(669\) | −2.18187 | − | 23.0770i | −0.0843558 | − | 0.892210i | ||||
\(670\) | 14.1723 | + | 15.8779i | 0.547525 | + | 0.613418i | ||||
\(671\) | 18.8804 | + | 10.9006i | 0.728868 | + | 0.420812i | ||||
\(672\) | 14.9669 | + | 0.873859i | 0.577362 | + | 0.0337099i | ||||
\(673\) | 5.01449 | − | 2.89512i | 0.193294 | − | 0.111599i | −0.400230 | − | 0.916415i | \(-0.631070\pi\) |
0.593524 | + | 0.804816i | \(0.297736\pi\) | |||||||
\(674\) | −26.2648 | − | 8.66007i | −1.01168 | − | 0.333573i | ||||
\(675\) | −5.70912 | − | 13.0037i | −0.219744 | − | 0.500514i | ||||
\(676\) | 3.73941 | − | 15.0013i | 0.143824 | − | 0.576973i | ||||
\(677\) | 22.7374 | − | 7.71832i | 0.873870 | − | 0.296639i | 0.151760 | − | 0.988417i | \(-0.451506\pi\) |
0.722110 | + | 0.691778i | \(0.243172\pi\) | |||||||
\(678\) | −26.4635 | − | 24.5462i | −1.01632 | − | 0.942691i | ||||
\(679\) | −16.3207 | + | 12.5233i | −0.626331 | + | 0.480601i | ||||
\(680\) | 2.64411 | − | 25.1759i | 0.101397 | − | 0.965451i | ||||
\(681\) | −12.7131 | + | 23.5627i | −0.487169 | + | 0.902923i | ||||
\(682\) | 0.186687 | + | 21.3288i | 0.00714861 | + | 0.816722i | ||||
\(683\) | −10.4802 | + | 7.00264i | −0.401014 | + | 0.267949i | −0.739681 | − | 0.672957i | \(-0.765024\pi\) |
0.338668 | + | 0.940906i | \(0.390024\pi\) | |||||||
\(684\) | −2.01454 | − | 0.518928i | −0.0770280 | − | 0.0198417i | ||||
\(685\) | 4.56169 | + | 22.9332i | 0.174293 | + | 0.876231i | ||||
\(686\) | −4.70515 | + | 24.7863i | −0.179644 | + | 0.946344i | ||||
\(687\) | −18.2720 | + | 8.19304i | −0.697122 | + | 0.312584i | ||||
\(688\) | 28.7751 | − | 10.9053i | 1.09704 | − | 0.415761i | ||||
\(689\) | −4.47145 | + | 1.19812i | −0.170349 | + | 0.0456448i | ||||
\(690\) | −0.931311 | + | 3.12454i | −0.0354544 | + | 0.118949i | ||||
\(691\) | −17.9644 | − | 20.4845i | −0.683399 | − | 0.779267i | 0.301301 | − | 0.953529i | \(-0.402579\pi\) |
−0.984699 | + | 0.174262i | \(0.944246\pi\) | |||||||
\(692\) | 1.51825 | + | 0.715959i | 0.0577154 | + | 0.0272167i | ||||
\(693\) | −17.8288 | + | 7.22219i | −0.677260 | + | 0.274348i | ||||
\(694\) | 24.7017 | − | 6.85108i | 0.937664 | − | 0.260063i | ||||
\(695\) | −9.70436 | + | 12.6470i | −0.368107 | + | 0.479727i | ||||
\(696\) | 4.63983 | − | 5.91858i | 0.175872 | − | 0.224343i | ||||
\(697\) | −40.4420 | − | 52.7050i | −1.53185 | − | 1.99634i | ||||
\(698\) | 0.0165092 | − | 0.0219096i | 0.000624881 | − | 0.000829290i | ||||
\(699\) | −0.156215 | + | 4.26244i | −0.00590860 | + | 0.161220i | ||||
\(700\) | −6.54567 | + | 5.20721i | −0.247403 | + | 0.196814i | ||||
\(701\) | 25.6408 | + | 17.1327i | 0.968441 | + | 0.647092i | 0.935858 | − | 0.352377i | \(-0.114627\pi\) |
0.0325831 | + | 0.999469i | \(0.489627\pi\) | |||||||
\(702\) | −13.6828 | − | 9.86665i | −0.516426 | − | 0.372393i | ||||
\(703\) | −3.50044 | −0.132022 | ||||||||
\(704\) | −24.0093 | + | 23.3961i | −0.904884 | + | 0.881773i | ||||
\(705\) | 2.32665 | + | 14.4433i | 0.0876268 | + | 0.543966i | ||||
\(706\) | 1.40679 | − | 24.7857i | 0.0529452 | − | 0.932821i | ||||
\(707\) | 16.3128 | − | 8.04459i | 0.613507 | − | 0.302548i | ||||
\(708\) | 10.4246 | − | 11.4380i | 0.391780 | − | 0.429868i | ||||
\(709\) | −0.986247 | − | 2.90539i | −0.0370393 | − | 0.109114i | 0.926838 | − | 0.375463i | \(-0.122516\pi\) |
−0.963877 | + | 0.266348i | \(0.914183\pi\) | |||||||
\(710\) | −29.3488 | − | 3.60280i | −1.10144 | − | 0.135211i | ||||
\(711\) | −37.1387 | + | 17.9553i | −1.39281 | + | 0.673376i | ||||
\(712\) | 7.33448 | + | 4.62692i | 0.274871 | + | 0.173401i | ||||
\(713\) | −1.93703 | + | 2.52438i | −0.0725423 | + | 0.0945389i | ||||
\(714\) | 22.1833 | + | 2.07641i | 0.830190 | + | 0.0777075i | ||||
\(715\) | −14.4524 | + | 0.947258i | −0.540488 | + | 0.0354254i | ||||
\(716\) | −5.82754 | − | 8.39943i | −0.217785 | − | 0.313902i | ||||
\(717\) | 25.5662 | + | 4.32370i | 0.954788 | + | 0.161472i | ||||
\(718\) | 7.43364 | − | 5.06167i | 0.277421 | − | 0.188900i | ||||
\(719\) | 24.4903 | + | 24.4903i | 0.913336 | + | 0.913336i | 0.996533 | − | 0.0831975i | \(-0.0265132\pi\) |
−0.0831975 | + | 0.996533i | \(0.526513\pi\) | |||||||
\(720\) | −12.4234 | + | 13.1182i | −0.462994 | + | 0.488886i | ||||
\(721\) | −9.17739 | + | 9.17739i | −0.341784 | + | 0.341784i | ||||
\(722\) | −4.97952 | + | 26.2316i | −0.185319 | + | 0.976239i | ||||
\(723\) | 21.4401 | + | 17.7361i | 0.797364 | + | 0.659612i | ||||
\(724\) | 6.34553 | − | 9.86636i | 0.235830 | − | 0.366680i | ||||
\(725\) | 0.274410 | + | 4.18669i | 0.0101913 | + | 0.155490i | ||||
\(726\) | 5.58702 | − | 15.0653i | 0.207354 | − | 0.559128i | ||||
\(727\) | 28.5423 | + | 21.9013i | 1.05858 | + | 0.812275i | 0.982767 | − | 0.184848i | \(-0.0591792\pi\) |
0.0758098 | + | 0.997122i | \(0.475846\pi\) | |||||||
\(728\) | −3.55976 | + | 9.27565i | −0.131933 | + | 0.343778i | ||||
\(729\) | 22.7952 | − | 14.4699i | 0.844267 | − | 0.535923i | ||||
\(730\) | −12.8640 | + | 10.0510i | −0.476117 | + | 0.372004i | ||||
\(731\) | 43.3038 | − | 14.6997i | 1.60165 | − | 0.543687i | ||||
\(732\) | −1.52247 | + | 17.9579i | −0.0562721 | + | 0.663744i | ||||
\(733\) | 19.9149 | + | 40.3834i | 0.735573 | + | 1.49159i | 0.865951 | + | 0.500129i | \(0.166714\pi\) |
−0.130378 | + | 0.991464i | \(0.541619\pi\) | |||||||
\(734\) | −10.2369 | + | 9.13730i | −0.377853 | + | 0.337264i | ||||
\(735\) | −7.67031 | − | 9.42113i | −0.282924 | − | 0.347504i | ||||
\(736\) | −4.97118 | + | 0.545085i | −0.183240 | + | 0.0200921i | ||||
\(737\) | − | 41.8854i | − | 1.54287i | ||||||
\(738\) | 0.0444117 | + | 47.4146i | 0.00163482 | + | 1.74536i | ||||
\(739\) | −17.2184 | + | 25.7692i | −0.633390 | + | 0.947936i | 0.366456 | + | 0.930435i | \(0.380571\pi\) |
−0.999847 | + | 0.0175005i | \(0.994429\pi\) | |||||||
\(740\) | −14.7374 | + | 26.5902i | −0.541756 | + | 0.977474i | ||||
\(741\) | 0.732558 | − | 1.16785i | 0.0269112 | − | 0.0429020i | ||||
\(742\) | −4.32124 | + | 0.607425i | −0.158638 | + | 0.0222993i | ||||
\(743\) | 9.06275 | − | 6.95409i | 0.332480 | − | 0.255121i | −0.429007 | − | 0.903301i | \(-0.641136\pi\) |
0.761487 | + | 0.648180i | \(0.224470\pi\) | |||||||
\(744\) | −15.8942 | + | 7.63418i | −0.582710 | + | 0.279883i | ||||
\(745\) | −22.6880 | − | 17.4091i | −0.831223 | − | 0.637820i | ||||
\(746\) | 23.0173 | − | 40.6853i | 0.842722 | − | 1.48960i | ||||
\(747\) | −4.70321 | − | 0.656626i | −0.172082 | − | 0.0240247i | ||||
\(748\) | −36.8755 | + | 33.4988i | −1.34830 | + | 1.22484i | ||||
\(749\) | −1.83676 | + | 1.61079i | −0.0671137 | + | 0.0588572i | ||||
\(750\) | 0.795033 | − | 28.5086i | 0.0290305 | − | 1.04099i | ||||
\(751\) | −10.0938 | − | 37.6704i | −0.368326 | − | 1.37461i | −0.862855 | − | 0.505451i | \(-0.831326\pi\) |
0.494529 | − | 0.869161i | \(-0.335341\pi\) | |||||||
\(752\) | −19.0287 | + | 11.8932i | −0.693904 | + | 0.433700i | ||||
\(753\) | 25.2024 | − | 34.8811i | 0.918425 | − | 1.27114i | ||||
\(754\) | 2.80497 | + | 4.11941i | 0.102151 | + | 0.150020i | ||||
\(755\) | 4.18043 | − | 0.831539i | 0.152141 | − | 0.0302628i | ||||
\(756\) | −11.6688 | − | 10.8031i | −0.424392 | − | 0.392905i | ||||
\(757\) | 26.5565 | + | 39.7446i | 0.965212 | + | 1.44454i | 0.894512 | + | 0.447044i | \(0.147523\pi\) |
0.0706994 | + | 0.997498i | \(0.477477\pi\) | |||||||
\(758\) | −20.1112 | + | 20.4664i | −0.730473 | + | 0.743373i | ||||
\(759\) | 5.46212 | − | 3.36703i | 0.198262 | − | 0.122216i | ||||
\(760\) | −1.13527 | − | 0.944044i | −0.0411805 | − | 0.0342441i | ||||
\(761\) | 12.0848 | + | 15.7492i | 0.438073 | + | 0.570908i | 0.959257 | − | 0.282537i | \(-0.0911758\pi\) |
−0.521183 | + | 0.853445i | \(0.674509\pi\) | |||||||
\(762\) | 6.66663 | + | 10.6059i | 0.241506 | + | 0.384211i | ||||
\(763\) | −4.85100 | − | 14.2906i | −0.175618 | − | 0.517354i | ||||
\(764\) | −22.1033 | + | 29.8741i | −0.799669 | + | 1.08081i | ||||
\(765\) | −19.1336 | + | 18.8368i | −0.691776 | + | 0.681046i | ||||
\(766\) | 17.7986 | + | 35.3095i | 0.643089 | + | 1.27578i | ||||
\(767\) | 5.12780 | + | 8.88162i | 0.185154 | + | 0.320697i | ||||
\(768\) | −25.9431 | − | 9.74465i | −0.936139 | − | 0.351630i | ||||
\(769\) | −5.08123 | + | 8.80096i | −0.183234 | + | 0.317371i | −0.942980 | − | 0.332849i | \(-0.891990\pi\) |
0.759746 | + | 0.650220i | \(0.225323\pi\) | |||||||
\(770\) | −13.6309 | − | 0.773663i | −0.491223 | − | 0.0278809i | ||||
\(771\) | 7.05308 | + | 9.92425i | 0.254011 | + | 0.357413i | ||||
\(772\) | −51.6840 | − | 5.88593i | −1.86015 | − | 0.211839i | ||||
\(773\) | 32.7755 | + | 6.51944i | 1.17885 | + | 0.234488i | 0.745355 | − | 0.666668i | \(-0.232280\pi\) |
0.433496 | + | 0.901156i | \(0.357280\pi\) | |||||||
\(774\) | −30.9166 | − | 10.4625i | −1.11127 | − | 0.376066i | ||||
\(775\) | 3.76453 | − | 9.08837i | 0.135226 | − | 0.326464i | ||||
\(776\) | 35.6747 | − | 13.1642i | 1.28065 | − | 0.472568i | ||||
\(777\) | −23.5484 | − | 12.7055i | −0.844794 | − | 0.455806i | ||||
\(778\) | −38.9585 | − | 10.0743i | −1.39673 | − | 0.361180i | ||||
\(779\) | −3.86653 | + | 0.253426i | −0.138533 | + | 0.00907991i | ||||
\(780\) | −5.78707 | − | 10.4815i | −0.207210 | − | 0.375298i | ||||
\(781\) | 38.3692 | + | 43.7517i | 1.37296 | + | 1.56556i | ||||
\(782\) | −7.41152 | + | 0.550964i | −0.265035 | + | 0.0197024i | ||||
\(783\) | −7.78900 | + | 1.72012i | −0.278356 | + | 0.0614719i | ||||
\(784\) | 8.74665 | − | 16.4542i | 0.312380 | − | 0.587649i | ||||
\(785\) | −18.4148 | − | 4.93424i | −0.657254 | − | 0.176111i | ||||
\(786\) | −12.8103 | − | 7.88015i | −0.456928 | − | 0.281076i | ||||
\(787\) | 29.3306 | + | 9.95639i | 1.04552 | + | 0.354907i | 0.790779 | − | 0.612102i | \(-0.209676\pi\) |
0.254743 | + | 0.967009i | \(0.418009\pi\) | |||||||
\(788\) | 3.31728 | + | 15.2747i | 0.118173 | + | 0.544137i | ||||
\(789\) | −11.6949 | + | 38.0175i | −0.416350 | + | 1.35346i | ||||
\(790\) | −29.2771 | + | 0.256257i | −1.04163 | + | 0.00911721i | ||||
\(791\) | 20.8315 | − | 8.62868i | 0.740682 | − | 0.306800i | ||||
\(792\) | 35.4319 | − | 2.97944i | 1.25902 | − | 0.105870i | ||||
\(793\) | −11.0340 | − | 4.57045i | −0.391830 | − | 0.162301i | ||||
\(794\) | −17.5756 | + | 43.5043i | −0.623733 | + | 1.54391i | ||||
\(795\) | 2.79439 | − | 4.45482i | 0.0991067 | − | 0.157996i | ||||
\(796\) | 28.3580 | − | 0.496462i | 1.00512 | − | 0.0175966i | ||||
\(797\) | −13.8894 | − | 28.1650i | −0.491989 | − | 0.997655i | −0.991348 | − | 0.131260i | \(-0.958098\pi\) |
0.499359 | − | 0.866395i | \(-0.333569\pi\) | |||||||
\(798\) | 0.819539 | − | 1.00854i | 0.0290114 | − | 0.0357018i | ||||
\(799\) | −28.8799 | + | 16.6738i | −1.02170 | + | 0.589878i | ||||
\(800\) | 14.4090 | − | 5.60551i | 0.509435 | − | 0.198185i | ||||
\(801\) | −2.88844 | − | 8.73272i | −0.102058 | − | 0.308555i | ||||
\(802\) | −46.1017 | − | 15.2007i | −1.62791 | − | 0.536756i | ||||
\(803\) | 32.0592 | + | 2.10127i | 1.13134 | + | 0.0741522i | ||||
\(804\) | 31.3418 | − | 14.7177i | 1.10534 | − | 0.519052i | ||||
\(805\) | −1.53128 | − | 1.34289i | −0.0539704 | − | 0.0473308i | ||||
\(806\) | −1.62652 | − | 11.5711i | −0.0572916 | − | 0.407574i | ||||
\(807\) | −11.7495 | + | 49.5152i | −0.413603 | + | 1.74302i | ||||
\(808\) | −33.2064 | + | 5.26203i | −1.16820 | + | 0.185117i | ||||
\(809\) | −10.8870 | + | 4.50955i | −0.382767 | + | 0.158547i | −0.565766 | − | 0.824566i | \(-0.691419\pi\) |
0.182999 | + | 0.983113i | \(0.441419\pi\) | |||||||
\(810\) | 19.0161 | − | 2.37055i | 0.668158 | − | 0.0832927i | ||||
\(811\) | 8.24270 | − | 5.50759i | 0.289440 | − | 0.193398i | −0.402370 | − | 0.915477i | \(-0.631813\pi\) |
0.691810 | + | 0.722079i | \(0.256813\pi\) | |||||||
\(812\) | 2.15127 | + | 4.17642i | 0.0754949 | + | 0.146564i | ||||
\(813\) | 35.0880 | − | 13.0499i | 1.23059 | − | 0.457680i | ||||
\(814\) | 56.4845 | − | 19.7269i | 1.97978 | − | 0.691428i | ||||
\(815\) | −1.87858 | − | 7.01095i | −0.0658037 | − | 0.245583i | ||||
\(816\) | −38.0236 | − | 15.8222i | −1.33109 | − | 0.553888i | ||||
\(817\) | 0.690353 | − | 2.57643i | 0.0241524 | − | 0.0901380i | ||||
\(818\) | −0.589112 | − | 7.92468i | −0.0205978 | − | 0.277080i | ||||
\(819\) | 9.16703 | − | 5.19748i | 0.320322 | − | 0.181615i | ||||
\(820\) | −14.3536 | + | 30.4380i | −0.501248 | + | 1.06294i | ||||
\(821\) | 22.1791 | − | 44.9748i | 0.774057 | − | 1.56963i | −0.0470741 | − | 0.998891i | \(-0.514990\pi\) |
0.821131 | − | 0.570740i | \(-0.193344\pi\) | |||||||
\(822\) | 37.8756 | + | 3.54523i | 1.32106 | + | 0.123654i | ||||
\(823\) | 37.6483 | + | 4.95649i | 1.31234 | + | 0.172772i | 0.754018 | − | 0.656854i | \(-0.228113\pi\) |
0.558319 | + | 0.829626i | \(0.311446\pi\) | |||||||
\(824\) | 21.2306 | − | 11.1721i | 0.739604 | − | 0.389198i | ||||
\(825\) | −13.6171 | + | 14.4254i | −0.474085 | + | 0.502227i | ||||
\(826\) | 3.77762 | + | 8.89888i | 0.131440 | + | 0.309631i | ||||
\(827\) | −16.9474 | − | 3.37104i | −0.589318 | − | 0.117223i | −0.108581 | − | 0.994088i | \(-0.534631\pi\) |
−0.480737 | + | 0.876865i | \(0.659631\pi\) | |||||||
\(828\) | 4.43874 | + | 2.90406i | 0.154257 | + | 0.100923i | ||||
\(829\) | 2.14756 | + | 1.43496i | 0.0745880 | + | 0.0498381i | 0.592305 | − | 0.805714i | \(-0.298218\pi\) |
−0.517717 | + | 0.855552i | \(0.673218\pi\) | |||||||
\(830\) | −2.81874 | − | 1.84794i | −0.0978399 | − | 0.0641430i | ||||
\(831\) | −0.294716 | + | 0.239946i | −0.0102236 | + | 0.00832364i | ||||
\(832\) | 11.3674 | − | 14.4240i | 0.394092 | − | 0.500063i | ||||
\(833\) | 13.8464 | − | 23.9827i | 0.479749 | − | 0.830950i | ||||
\(834\) | 15.2084 | + | 21.0076i | 0.526623 | + | 0.727433i | ||||
\(835\) | −0.424935 | + | 6.48326i | −0.0147055 | + | 0.224362i | ||||
\(836\) | 0.429653 | + | 2.87385i | 0.0148598 | + | 0.0993943i | ||||
\(837\) | 18.1625 | + | 4.46005i | 0.627789 | + | 0.154162i | ||||
\(838\) | −8.89397 | − | 1.09181i | −0.307237 | − | 0.0377159i | ||||
\(839\) | −31.0145 | + | 4.08314i | −1.07074 | + | 0.140966i | −0.645231 | − | 0.763988i | \(-0.723239\pi\) |
−0.425510 | + | 0.904954i | \(0.639905\pi\) | |||||||
\(840\) | −4.21069 | − | 10.4715i | −0.145283 | − | 0.361301i | ||||
\(841\) | −26.4155 | − | 3.47767i | −0.910879 | − | 0.119920i | ||||
\(842\) | 1.74745 | − | 6.75763i | 0.0602212 | − | 0.232883i | ||||
\(843\) | 28.5250 | + | 8.77485i | 0.982454 | + | 0.302222i | ||||
\(844\) | 3.18096 | + | 38.2576i | 0.109493 | + | 1.31688i | ||||
\(845\) | −11.4150 | + | 2.27058i | −0.392687 | + | 0.0781104i | ||||
\(846\) | 23.6001 | + | 3.08453i | 0.811389 | + | 0.106048i | ||||
\(847\) | 7.09751 | + | 7.09751i | 0.243873 | + | 0.243873i | ||||
\(848\) | 7.96139 | + | 1.29575i | 0.273395 | + | 0.0444962i | ||||
\(849\) | −16.4848 | + | 7.39166i | −0.565757 | + | 0.253681i | ||||
\(850\) | 21.6918 | − | 7.57573i | 0.744021 | − | 0.259846i | ||||
\(851\) | 8.45170 | + | 2.86897i | 0.289721 | + | 0.0983469i | ||||
\(852\) | −19.2561 | + | 44.0841i | −0.659705 | + | 1.51030i | ||||
\(853\) | −12.0784 | − | 5.95640i | −0.413556 | − | 0.203943i | 0.223595 | − | 0.974682i | \(-0.428221\pi\) |
−0.637151 | + | 0.770739i | \(0.719887\pi\) | |||||||
\(854\) | −9.79884 | − | 5.54358i | −0.335310 | − | 0.189698i | ||||
\(855\) | 0.293510 | + | 1.53831i | 0.0100378 | + | 0.0526092i | ||||
\(856\) | 4.12526 | − | 1.83707i | 0.140998 | − | 0.0627897i | ||||
\(857\) | −3.87755 | − | 29.4529i | −0.132454 | − | 1.00609i | −0.920574 | − | 0.390569i | \(-0.872278\pi\) |
0.788119 | − | 0.615523i | \(-0.211055\pi\) | |||||||
\(858\) | −5.23939 | + | 22.9732i | −0.178870 | + | 0.784293i | ||||
\(859\) | 33.6179 | + | 29.4821i | 1.14703 | + | 1.00592i | 0.999859 | + | 0.0168037i | \(0.00534904\pi\) |
0.147168 | + | 0.989112i | \(0.452984\pi\) | |||||||
\(860\) | −16.6647 | − | 16.0912i | −0.568261 | − | 0.548707i | ||||
\(861\) | −26.9310 | − | 12.3294i | −0.917807 | − | 0.420184i | ||||
\(862\) | −11.7587 | − | 56.5247i | −0.400503 | − | 1.92524i | ||||
\(863\) | − | 55.4651i | − | 1.88805i | −0.329867 | − | 0.944027i | \(-0.607004\pi\) | ||
0.329867 | − | 0.944027i | \(-0.392996\pi\) | |||||||
\(864\) | 14.6795 | + | 25.4659i | 0.499406 | + | 0.866368i | ||||
\(865\) | − | 1.26366i | − | 0.0429657i | ||||||
\(866\) | 6.17129 | − | 1.28380i | 0.209709 | − | 0.0436252i | ||||
\(867\) | −28.8767 | − | 13.2201i | −0.980705 | − | 0.448979i | ||||
\(868\) | −0.192805 | − | 11.0131i | −0.00654424 | − | 0.373808i | ||||
\(869\) | 43.3213 | + | 37.9918i | 1.46957 | + | 1.28878i | ||||
\(870\) | −5.51972 | − | 1.25886i | −0.187136 | − | 0.0426792i | ||||
\(871\) | 2.99502 | + | 22.7495i | 0.101483 | + | 0.770836i | ||||
\(872\) | 0.732401 | + | 27.8864i | 0.0248022 | + | 0.944351i | ||||
\(873\) | −38.0897 | − | 13.2626i | −1.28914 | − | 0.448872i | ||||
\(874\) | −0.213447 | + | 0.377289i | −0.00721994 | + | 0.0127620i | ||||
\(875\) | 15.9785 | + | 7.87971i | 0.540171 | + | 0.266383i | ||||
\(876\) | 9.69259 | + | 24.7274i | 0.327482 | + | 0.835462i | ||||
\(877\) | −26.5810 | − | 9.02302i | −0.897575 | − | 0.304686i | −0.165742 | − | 0.986169i | \(-0.553002\pi\) |
−0.731833 | + | 0.681484i | \(0.761335\pi\) | |||||||
\(878\) | −9.65081 | − | 27.6334i | −0.325699 | − | 0.932582i | ||||
\(879\) | 7.00208 | − | 3.13968i | 0.236174 | − | 0.105899i | ||||
\(880\) | 23.6394 | + | 8.83560i | 0.796883 | + | 0.297848i | ||||
\(881\) | 21.3039 | + | 21.3039i | 0.717748 | + | 0.717748i | 0.968144 | − | 0.250396i | \(-0.0805607\pi\) |
−0.250396 | + | 0.968144i | \(0.580561\pi\) | |||||||
\(882\) | −18.2532 | + | 7.58078i | −0.614619 | + | 0.255258i | ||||
\(883\) | 29.2769 | − | 5.82353i | 0.985245 | − | 0.195977i | 0.323926 | − | 0.946082i | \(-0.394997\pi\) |
0.661319 | + | 0.750105i | \(0.269997\pi\) | |||||||
\(884\) | 17.6330 | − | 20.8312i | 0.593063 | − | 0.700628i | ||||
\(885\) | −11.1353 | − | 3.42544i | −0.374309 | − | 0.115145i | ||||
\(886\) | −13.6413 | − | 3.52749i | −0.458287 | − | 0.118508i | ||||
\(887\) | −40.4571 | − | 5.32628i | −1.35842 | − | 0.178839i | −0.584123 | − | 0.811665i | \(-0.698561\pi\) |
−0.774294 | + | 0.632826i | \(0.781895\pi\) | |||||||
\(888\) | 34.6086 | + | 35.3343i | 1.16139 | + | 1.18574i | ||||
\(889\) | −7.75854 | + | 1.02143i | −0.260213 | + | 0.0342577i | ||||
\(890\) | 0.795432 | − | 6.47966i | 0.0266629 | − | 0.217199i | ||||
\(891\) | −31.0266 | − | 21.4403i | −1.03943 | − | 0.718278i | ||||
\(892\) | −21.5168 | − | 15.9199i | −0.720435 | − | 0.533036i | ||||
\(893\) | −0.127213 | + | 1.94089i | −0.00425701 | + | 0.0649495i | ||||
\(894\) | −37.6865 | + | 27.2830i | −1.26042 | + | 0.912481i | ||||
\(895\) | −3.84798 | + | 6.66490i | −0.128624 | + | 0.222783i | ||||
\(896\) | 12.2923 | − | 12.1900i | 0.410658 | − | 0.407238i | ||||
\(897\) | −2.72591 | + | 2.21933i | −0.0910155 | + | 0.0741011i | ||||
\(898\) | 15.3358 | − | 23.3923i | 0.511761 | − | 0.780610i | ||||
\(899\) | −4.59405 | − | 3.06964i | −0.153220 | − | 0.102378i | ||||
\(900\) | −15.5789 | − | 5.12052i | −0.519296 | − | 0.170684i | ||||
\(901\) | 11.7568 | + | 2.33857i | 0.391676 | + | 0.0779092i | ||||
\(902\) | 60.9637 | − | 25.8794i | 2.02987 | − | 0.861690i | ||||
\(903\) | 13.9958 | − | 14.8266i | 0.465751 | − | 0.493399i | ||||
\(904\) | −41.5035 | + | 3.81689i | −1.38039 | + | 0.126948i | ||||
\(905\) | −8.75543 | − | 1.15267i | −0.291040 | − | 0.0383162i | ||||
\(906\) | 0.646251 | − | 6.90424i | 0.0214703 | − | 0.229378i | ||||
\(907\) | 6.06498 | − | 12.2986i | 0.201384 | − | 0.408367i | −0.772629 | − | 0.634858i | \(-0.781059\pi\) |
0.974013 | + | 0.226491i | \(0.0727253\pi\) | |||||||
\(908\) | 10.4483 | + | 29.0963i | 0.346741 | + | 0.965595i | ||||
\(909\) | 30.7423 | + | 18.0709i | 1.01966 | + | 0.599375i | ||||
\(910\) | 7.45874 | − | 0.554474i | 0.247255 | − | 0.0183806i | ||||
\(911\) | 7.86746 | − | 29.3618i | 0.260661 | − | 0.972799i | −0.704192 | − | 0.710009i | \(-0.748691\pi\) |
0.964853 | − | 0.262790i | \(-0.0846426\pi\) | |||||||
\(912\) | −1.99946 | + | 1.33131i | −0.0662088 | + | 0.0440841i | ||||
\(913\) | 1.71680 | + | 6.40719i | 0.0568178 | + | 0.212047i | ||||
\(914\) | 10.6237 | + | 30.4191i | 0.351401 | + | 1.00617i | ||||
\(915\) | 12.7163 | − | 4.72943i | 0.420388 | − | 0.156350i | ||||
\(916\) | −7.04814 | + | 22.0223i | −0.232877 | + | 0.727637i | ||||
\(917\) | 7.81184 | − | 5.21971i | 0.257970 | − | 0.172370i | ||||
\(918\) | 20.4772 | + | 38.5854i | 0.675847 | + | 1.27351i | ||||
\(919\) | 18.2838 | − | 7.57339i | 0.603126 | − | 0.249823i | −0.0601601 | − | 0.998189i | \(-0.519161\pi\) |
0.663286 | + | 0.748366i | \(0.269161\pi\) | |||||||
\(920\) | 1.96733 | + | 3.20983i | 0.0648610 | + | 0.105825i | ||||
\(921\) | −5.04014 | + | 21.2403i | −0.166078 | + | 0.699891i | ||||
\(922\) | −7.12666 | + | 1.00178i | −0.234704 | + | 0.0329917i | ||||
\(923\) | −23.9681 | − | 21.0195i | −0.788921 | − | 0.691865i | ||||
\(924\) | −7.54076 | + | 20.8927i | −0.248073 | + | 0.687319i | ||||
\(925\) | −27.5345 | − | 1.80471i | −0.905329 | − | 0.0593384i | ||||
\(926\) | 5.61771 | − | 17.0377i | 0.184609 | − | 0.559894i | ||||
\(927\) | −24.9175 | − | 5.15918i | −0.818398 | − | 0.169450i | ||||
\(928\) | −1.50905 | − | 8.55177i | −0.0495371 | − | 0.280726i | ||||
\(929\) | −35.0672 | + | 20.2461i | −1.15052 | + | 0.664251i | −0.949013 | − | 0.315236i | \(-0.897916\pi\) |
−0.201504 | + | 0.979488i | \(0.564583\pi\) | |||||||
\(930\) | 10.3015 | + | 8.37104i | 0.337800 | + | 0.274497i | ||||
\(931\) | −0.714396 | − | 1.44865i | −0.0234134 | − | 0.0474776i | ||||
\(932\) | 3.54303 | + | 3.42111i | 0.116056 | + | 0.112062i | ||||
\(933\) | −11.1082 | + | 17.7087i | −0.363666 | + | 0.579758i | ||||
\(934\) | −35.3321 | − | 14.2740i | −1.15610 | − | 0.467061i | ||||
\(935\) | 34.6494 | + | 14.3523i | 1.13316 | + | 0.469369i | ||||
\(936\) | −19.0313 | + | 4.15181i | −0.622058 | + | 0.135706i | ||||
\(937\) | −47.3062 | + | 19.5949i | −1.54543 | + | 0.640137i | −0.982482 | − | 0.186358i | \(-0.940332\pi\) |
−0.562945 | + | 0.826494i | \(0.690332\pi\) | |||||||
\(938\) | 0.189315 | + | 21.6291i | 0.00618136 | + | 0.706215i | ||||
\(939\) | 5.50194 | − | 17.8855i | 0.179549 | − | 0.583673i | ||||
\(940\) | 14.2079 | + | 9.13778i | 0.463410 | + | 0.298041i | ||||
\(941\) | 31.2852 | + | 10.6199i | 1.01987 | + | 0.346199i | 0.780785 | − | 0.624800i | \(-0.214819\pi\) |
0.239085 | + | 0.970999i | \(0.423153\pi\) | |||||||
\(942\) | −16.2508 | + | 26.4180i | −0.529480 | + | 0.860744i | ||||
\(943\) | 9.54332 | + | 2.55712i | 0.310773 | + | 0.0832714i | ||||
\(944\) | −1.79220 | − | 17.7798i | −0.0583311 | − | 0.578684i | ||||
\(945\) | −3.60906 | + | 11.4140i | −0.117403 | + | 0.371298i | ||||
\(946\) | 3.37981 | + | 45.4649i | 0.109887 | + | 1.47819i | ||||
\(947\) | −36.4900 | − | 41.6088i | −1.18576 | − | 1.35211i | −0.921844 | − | 0.387561i | \(-0.873318\pi\) |
−0.263921 | − | 0.964544i | \(-0.585016\pi\) | |||||||
\(948\) | −13.2061 | + | 45.7657i | −0.428914 | + | 1.48640i | ||||
\(949\) | −17.5627 | + | 1.15112i | −0.570111 | + | 0.0373670i | ||||
\(950\) | 0.335512 | − | 1.29747i | 0.0108855 | − | 0.0420954i | ||||
\(951\) | −20.5376 | − | 11.0810i | −0.665978 | − | 0.359326i | ||||
\(952\) | 18.8906 | − | 17.4650i | 0.612248 | − | 0.566045i | ||||
\(953\) | −8.18362 | + | 19.7570i | −0.265094 | + | 0.639992i | −0.999239 | − | 0.0389996i | \(-0.987583\pi\) |
0.734146 | + | 0.678992i | \(0.237583\pi\) | |||||||
\(954\) | −5.64702 | − | 6.42704i | −0.182829 | − | 0.208083i | ||||
\(955\) | 27.4383 | + | 5.45781i | 0.887881 | + | 0.176611i | ||||
\(956\) | 23.4307 | − | 18.6396i | 0.757804 | − | 0.602848i | ||||
\(957\) | 6.45446 | + | 9.08195i | 0.208643 | + | 0.293578i | ||||
\(958\) | −3.04487 | + | 53.6465i | −0.0983754 | + | 1.73324i | ||||
\(959\) | −11.8818 | + | 20.5799i | −0.383685 | + | 0.664561i | ||||
\(960\) | 1.69492 | + | 20.7934i | 0.0547032 | + | 0.671104i | ||||
\(961\) | −9.02278 | − | 15.6279i | −0.291057 | − | 0.504126i | ||||
\(962\) | −29.2682 | + | 14.7533i | −0.943644 | + | 0.475666i | ||||
\(963\) | −4.61671 | − | 1.27580i | −0.148771 | − | 0.0411120i | ||||
\(964\) | 31.7767 | − | 4.75074i | 1.02346 | − | 0.153011i | ||||
\(965\) | 12.5874 | + | 37.0813i | 0.405203 | + | 1.19369i | ||||
\(966\) | −2.80535 | + | 1.76338i | −0.0902606 | + | 0.0567359i | ||||
\(967\) | −6.65273 | − | 8.67001i | −0.213938 | − | 0.278809i | 0.674041 | − | 0.738694i | \(-0.264557\pi\) |
−0.887978 | + | 0.459885i | \(0.847891\pi\) | |||||||
\(968\) | −8.64014 | − | 16.4191i | −0.277705 | − | 0.527730i | ||||
\(969\) | −3.03884 | + | 1.87324i | −0.0976216 | + | 0.0601773i | ||||
\(970\) | −20.4182 | − | 20.0638i | −0.655588 | − | 0.644211i | ||||
\(971\) | 20.0412 | + | 29.9937i | 0.643152 | + | 0.962544i | 0.999601 | + | 0.0282298i | \(0.00898703\pi\) |
−0.356450 | + | 0.934314i | \(0.616013\pi\) | |||||||
\(972\) | 5.14115 | − | 30.7501i | 0.164903 | − | 0.986310i | ||||
\(973\) | −15.8898 | + | 3.16067i | −0.509402 | + | 0.101326i | ||||
\(974\) | 44.6201 | − | 30.3825i | 1.42972 | − | 0.973517i | ||||
\(975\) | 6.36442 | − | 8.80862i | 0.203824 | − | 0.282102i | ||||
\(976\) | 14.2605 | + | 15.1562i | 0.456468 | + | 0.485139i | ||||
\(977\) | −15.9109 | − | 59.3802i | −0.509034 | − | 1.89974i | −0.429899 | − | 0.902877i | \(-0.641451\pi\) |
−0.0791351 | − | 0.996864i | \(-0.525216\pi\) | |||||||
\(978\) | −11.8039 | − | 0.329183i | −0.377448 | − | 0.0105261i | ||||
\(979\) | −9.65955 | + | 8.47120i | −0.308720 | + | 0.270741i | ||||
\(980\) | −14.0120 | − | 0.672317i | −0.447597 | − | 0.0214764i | ||||
\(981\) | 18.1950 | − | 23.3324i | 0.580923 | − | 0.744945i | ||||
\(982\) | −16.1804 | − | 9.15390i | −0.516338 | − | 0.292113i | ||||
\(983\) | −18.2428 | − | 13.9982i | −0.581855 | − | 0.446473i | 0.275426 | − | 0.961322i | \(-0.411181\pi\) |
−0.857281 | + | 0.514849i | \(0.827848\pi\) | |||||||
\(984\) | 40.7863 | + | 36.5241i | 1.30022 | + | 1.16435i | ||||
\(985\) | 9.33530 | − | 7.16323i | 0.297447 | − | 0.228239i | ||||
\(986\) | −1.79639 | − | 12.7795i | −0.0572086 | − | 0.406983i | ||||
\(987\) | −7.90060 | + | 12.5952i | −0.251479 | + | 0.400909i | ||||
\(988\) | −0.438855 | − | 1.53017i | −0.0139618 | − | 0.0486812i | ||||
\(989\) | −3.77848 | + | 5.65490i | −0.120149 | + | 0.179815i | ||||
\(990\) | −13.4055 | − | 23.1688i | −0.426053 | − | 0.736352i | ||||
\(991\) | − | 25.9161i | − | 0.823251i | −0.911353 | − | 0.411626i | \(-0.864961\pi\) | ||
0.911353 | − | 0.411626i | \(-0.135039\pi\) | |||||||
\(992\) | −5.69487 | + | 19.5476i | −0.180812 | + | 0.620638i | ||||
\(993\) | 1.20402 | + | 1.47885i | 0.0382085 | + | 0.0469300i | ||||
\(994\) | −20.0111 | − | 22.4194i | −0.634714 | − | 0.711099i | ||||
\(995\) | −9.44345 | − | 19.1494i | −0.299378 | − | 0.607078i | ||||
\(996\) | −4.19109 | + | 3.53599i | −0.132800 | + | 0.112042i | ||||
\(997\) | −36.8900 | + | 12.5225i | −1.16832 | + | 0.396591i | −0.837146 | − | 0.546979i | \(-0.815778\pi\) |
−0.331173 | + | 0.943570i | \(0.607444\pi\) | |||||||
\(998\) | −27.1858 | − | 34.7944i | −0.860552 | − | 1.10140i | ||||
\(999\) | −4.52957 | − | 52.2641i | −0.143309 | − | 1.65356i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 576.2.bm.a.517.31 | yes | 1504 | |
9.7 | even | 3 | inner | 576.2.bm.a.133.94 | yes | 1504 | |
64.13 | even | 16 | inner | 576.2.bm.a.13.94 | ✓ | 1504 | |
576.205 | even | 48 | inner | 576.2.bm.a.205.31 | yes | 1504 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
576.2.bm.a.13.94 | ✓ | 1504 | 64.13 | even | 16 | inner | |
576.2.bm.a.133.94 | yes | 1504 | 9.7 | even | 3 | inner | |
576.2.bm.a.205.31 | yes | 1504 | 576.205 | even | 48 | inner | |
576.2.bm.a.517.31 | yes | 1504 | 1.1 | even | 1 | trivial |