Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [546,2,Mod(185,546)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(546, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 1, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("546.185");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 546.u (of order \(6\), 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: | \(4.35983195036\) |
Analytic rank: | \(0\) |
Dimension: | \(76\) |
Relative dimension: | \(38\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 185.11 | ||
Character | \(\chi\) | \(=\) | 546.185 |
Dual form | 546.2.u.a.425.11 |
$q$-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 \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).
\(n\) | \(157\) | \(365\) | \(379\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(-1\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.866025 | − | 0.500000i | −0.612372 | − | 0.353553i | ||||
\(3\) | 0.323515 | + | 1.70157i | 0.186782 | + | 0.982401i | ||||
\(4\) | 0.500000 | + | 0.866025i | 0.250000 | + | 0.433013i | ||||
\(5\) | 1.99252 | + | 3.45115i | 0.891083 | + | 1.54340i | 0.838579 | + | 0.544780i | \(0.183387\pi\) |
0.0525039 | + | 0.998621i | \(0.483280\pi\) | |||||||
\(6\) | 0.570612 | − | 1.63536i | 0.232951 | − | 0.667633i | ||||
\(7\) | −2.44529 | − | 1.01022i | −0.924234 | − | 0.381826i | ||||
\(8\) | − | 1.00000i | − | 0.353553i | ||||||
\(9\) | −2.79068 | + | 1.10097i | −0.930225 | + | 0.366989i | ||||
\(10\) | − | 3.98504i | − | 1.26018i | ||||||
\(11\) | 3.67738i | 1.10877i | 0.832259 | + | 0.554386i | \(0.187047\pi\) | ||||
−0.832259 | + | 0.554386i | \(0.812953\pi\) | |||||||
\(12\) | −1.31184 | + | 1.13096i | −0.378697 | + | 0.326479i | ||||
\(13\) | 3.60330 | + | 0.127442i | 0.999375 | + | 0.0353462i | ||||
\(14\) | 1.61258 | + | 2.09752i | 0.430980 | + | 0.560586i | ||||
\(15\) | −5.22776 | + | 4.50691i | −1.34980 | + | 1.16368i | ||||
\(16\) | −0.500000 | + | 0.866025i | −0.125000 | + | 0.216506i | ||||
\(17\) | 1.17224 | + | 2.03038i | 0.284311 | + | 0.492441i | 0.972442 | − | 0.233146i | \(-0.0749019\pi\) |
−0.688131 | + | 0.725586i | \(0.741569\pi\) | |||||||
\(18\) | 2.96728 | + | 0.441872i | 0.699395 | + | 0.104150i | ||||
\(19\) | − | 4.20594i | − | 0.964909i | −0.875921 | − | 0.482454i | \(-0.839745\pi\) | ||
0.875921 | − | 0.482454i | \(-0.160255\pi\) | |||||||
\(20\) | −1.99252 | + | 3.45115i | −0.445541 | + | 0.771700i | ||||
\(21\) | 0.927864 | − | 4.48766i | 0.202477 | − | 0.979287i | ||||
\(22\) | 1.83869 | − | 3.18471i | 0.392010 | − | 0.678982i | ||||
\(23\) | −1.85837 | − | 1.07293i | −0.387496 | − | 0.223721i | 0.293578 | − | 0.955935i | \(-0.405154\pi\) |
−0.681075 | + | 0.732214i | \(0.738487\pi\) | |||||||
\(24\) | 1.70157 | − | 0.323515i | 0.347331 | − | 0.0660373i | ||||
\(25\) | −5.44029 | + | 9.42285i | −1.08806 | + | 1.88457i | ||||
\(26\) | −3.05683 | − | 1.91202i | −0.599493 | − | 0.374977i | ||||
\(27\) | −2.77620 | − | 4.39235i | −0.534280 | − | 0.845308i | ||||
\(28\) | −0.347773 | − | 2.62280i | −0.0657230 | − | 0.495662i | ||||
\(29\) | 3.39215 | − | 1.95846i | 0.629906 | − | 0.363677i | −0.150809 | − | 0.988563i | \(-0.548188\pi\) |
0.780716 | + | 0.624886i | \(0.214855\pi\) | |||||||
\(30\) | 6.78083 | − | 1.28922i | 1.23800 | − | 0.235379i | ||||
\(31\) | −7.42132 | − | 4.28470i | −1.33291 | − | 0.769555i | −0.347163 | − | 0.937805i | \(-0.612855\pi\) |
−0.985744 | + | 0.168250i | \(0.946188\pi\) | |||||||
\(32\) | 0.866025 | − | 0.500000i | 0.153093 | − | 0.0883883i | ||||
\(33\) | −6.25732 | + | 1.18969i | −1.08926 | + | 0.207099i | ||||
\(34\) | − | 2.34449i | − | 0.402076i | ||||||
\(35\) | −1.38589 | − | 10.4520i | −0.234258 | − | 1.76670i | ||||
\(36\) | −2.34880 | − | 1.86631i | −0.391467 | − | 0.311052i | ||||
\(37\) | −3.44688 | + | 5.97017i | −0.566664 | + | 0.981490i | 0.430229 | + | 0.902720i | \(0.358433\pi\) |
−0.996893 | + | 0.0787705i | \(0.974901\pi\) | |||||||
\(38\) | −2.10297 | + | 3.64245i | −0.341147 | + | 0.590884i | ||||
\(39\) | 0.948870 | + | 6.17249i | 0.151941 | + | 0.988390i | ||||
\(40\) | 3.45115 | − | 1.99252i | 0.545675 | − | 0.315045i | ||||
\(41\) | −1.55096 | − | 2.68634i | −0.242219 | − | 0.419536i | 0.719127 | − | 0.694879i | \(-0.244542\pi\) |
−0.961346 | + | 0.275343i | \(0.911209\pi\) | |||||||
\(42\) | −3.04738 | + | 3.42249i | −0.470221 | + | 0.528102i | ||||
\(43\) | 2.70900 | − | 4.69212i | 0.413118 | − | 0.715541i | −0.582111 | − | 0.813109i | \(-0.697773\pi\) |
0.995229 | + | 0.0975681i | \(0.0311064\pi\) | |||||||
\(44\) | −3.18471 | + | 1.83869i | −0.480113 | + | 0.277193i | ||||
\(45\) | −9.36009 | − | 7.43734i | −1.39532 | − | 1.10869i | ||||
\(46\) | 1.07293 | + | 1.85837i | 0.158195 | + | 0.274001i | ||||
\(47\) | 5.81511 | + | 10.0721i | 0.848220 | + | 1.46916i | 0.882795 | + | 0.469759i | \(0.155659\pi\) |
−0.0345746 | + | 0.999402i | \(0.511008\pi\) | |||||||
\(48\) | −1.63536 | − | 0.570612i | −0.236044 | − | 0.0823608i | ||||
\(49\) | 4.95892 | + | 4.94055i | 0.708418 | + | 0.705794i | ||||
\(50\) | 9.42285 | − | 5.44029i | 1.33259 | − | 0.769373i | ||||
\(51\) | −3.07560 | + | 2.65151i | −0.430670 | + | 0.371286i | ||||
\(52\) | 1.69128 | + | 3.18427i | 0.234538 | + | 0.441579i | ||||
\(53\) | −1.81528 | − | 1.04805i | −0.249348 | − | 0.143961i | 0.370118 | − | 0.928985i | \(-0.379317\pi\) |
−0.619466 | + | 0.785024i | \(0.712651\pi\) | |||||||
\(54\) | 0.208085 | + | 5.19198i | 0.0283168 | + | 0.706540i | ||||
\(55\) | −12.6912 | + | 7.32727i | −1.71128 | + | 0.988009i | ||||
\(56\) | −1.01022 | + | 2.44529i | −0.134996 | + | 0.326766i | ||||
\(57\) | 7.15670 | − | 1.36069i | 0.947928 | − | 0.180227i | ||||
\(58\) | −3.91692 | −0.514316 | ||||||||
\(59\) | 4.85918 | + | 8.41635i | 0.632612 | + | 1.09572i | 0.987016 | + | 0.160623i | \(0.0513503\pi\) |
−0.354404 | + | 0.935092i | \(0.615316\pi\) | |||||||
\(60\) | −6.51698 | − | 2.27391i | −0.841339 | − | 0.293561i | ||||
\(61\) | 0.276774i | 0.0354373i | 0.999843 | + | 0.0177187i | \(0.00564032\pi\) | ||||
−0.999843 | + | 0.0177187i | \(0.994360\pi\) | |||||||
\(62\) | 4.28470 | + | 7.42132i | 0.544157 | + | 0.942508i | ||||
\(63\) | 7.93624 | + | 0.126999i | 0.999872 | + | 0.0160003i | ||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | 6.73983 | + | 12.6895i | 0.835973 | + | 1.57393i | ||||
\(66\) | 6.01385 | + | 2.09836i | 0.740253 | + | 0.258290i | ||||
\(67\) | 10.7088 | 1.30829 | 0.654145 | − | 0.756369i | \(-0.273029\pi\) | ||||
0.654145 | + | 0.756369i | \(0.273029\pi\) | |||||||
\(68\) | −1.17224 | + | 2.03038i | −0.142155 | + | 0.246220i | ||||
\(69\) | 1.22445 | − | 3.50925i | 0.147407 | − | 0.422464i | ||||
\(70\) | −4.02576 | + | 9.74460i | −0.481170 | + | 1.16470i | ||||
\(71\) | −3.24128 | − | 1.87136i | −0.384670 | − | 0.222089i | 0.295178 | − | 0.955442i | \(-0.404621\pi\) |
−0.679848 | + | 0.733353i | \(0.737954\pi\) | |||||||
\(72\) | 1.10097 | + | 2.79068i | 0.129750 | + | 0.328884i | ||||
\(73\) | −0.474423 | − | 0.273908i | −0.0555270 | − | 0.0320586i | 0.471979 | − | 0.881610i | \(-0.343540\pi\) |
−0.527507 | + | 0.849551i | \(0.676873\pi\) | |||||||
\(74\) | 5.97017 | − | 3.44688i | 0.694018 | − | 0.400692i | ||||
\(75\) | −17.7937 | − | 6.20859i | −2.05463 | − | 0.716906i | ||||
\(76\) | 3.64245 | − | 2.10297i | 0.417818 | − | 0.241227i | ||||
\(77\) | 3.71496 | − | 8.99228i | 0.423359 | − | 1.02477i | ||||
\(78\) | 2.26450 | − | 5.81997i | 0.256404 | − | 0.658982i | ||||
\(79\) | 1.56372 | + | 2.70844i | 0.175932 | + | 0.304723i | 0.940483 | − | 0.339840i | \(-0.110373\pi\) |
−0.764552 | + | 0.644563i | \(0.777039\pi\) | |||||||
\(80\) | −3.98504 | −0.445541 | ||||||||
\(81\) | 6.57574 | − | 6.14489i | 0.730638 | − | 0.682765i | ||||
\(82\) | 3.10192i | 0.342550i | ||||||||
\(83\) | −13.0428 | −1.43163 | −0.715817 | − | 0.698287i | \(-0.753946\pi\) | ||||
−0.715817 | + | 0.698287i | \(0.753946\pi\) | |||||||
\(84\) | 4.35036 | − | 1.44027i | 0.474663 | − | 0.157147i | ||||
\(85\) | −4.67144 | + | 8.09117i | −0.506689 | + | 0.877611i | ||||
\(86\) | −4.69212 | + | 2.70900i | −0.505964 | + | 0.292118i | ||||
\(87\) | 4.42987 | + | 5.13839i | 0.474931 | + | 0.550893i | ||||
\(88\) | 3.67738 | 0.392010 | ||||||||
\(89\) | 0.959464 | − | 1.66184i | 0.101703 | − | 0.176155i | −0.810683 | − | 0.585485i | \(-0.800904\pi\) |
0.912386 | + | 0.409330i | \(0.134238\pi\) | |||||||
\(90\) | 4.38740 | + | 11.1210i | 0.462473 | + | 1.17225i | ||||
\(91\) | −8.68238 | − | 3.95175i | −0.910161 | − | 0.414256i | ||||
\(92\) | − | 2.14586i | − | 0.223721i | ||||||
\(93\) | 4.88980 | − | 14.0140i | 0.507049 | − | 1.45319i | ||||
\(94\) | − | 11.6302i | − | 1.19956i | ||||||
\(95\) | 14.5153 | − | 8.38043i | 1.48924 | − | 0.859814i | ||||
\(96\) | 1.13096 | + | 1.31184i | 0.115428 | + | 0.133890i | ||||
\(97\) | −2.07811 | − | 1.19980i | −0.211000 | − | 0.121821i | 0.390776 | − | 0.920486i | \(-0.372207\pi\) |
−0.601776 | + | 0.798665i | \(0.705540\pi\) | |||||||
\(98\) | −1.82428 | − | 6.75811i | −0.184280 | − | 0.682672i | ||||
\(99\) | −4.04868 | − | 10.2624i | −0.406908 | − | 1.03141i | ||||
\(100\) | −10.8806 | −1.08806 | ||||||||
\(101\) | 7.53515 | 0.749776 | 0.374888 | − | 0.927070i | \(-0.377681\pi\) | ||||
0.374888 | + | 0.927070i | \(0.377681\pi\) | |||||||
\(102\) | 3.98931 | − | 0.758478i | 0.395000 | − | 0.0751005i | ||||
\(103\) | 7.80371 | − | 4.50547i | 0.768922 | − | 0.443938i | −0.0635677 | − | 0.997978i | \(-0.520248\pi\) |
0.832490 | + | 0.554040i | \(0.186915\pi\) | |||||||
\(104\) | 0.127442 | − | 3.60330i | 0.0124968 | − | 0.353332i | ||||
\(105\) | 17.3364 | − | 5.73956i | 1.69186 | − | 0.560124i | ||||
\(106\) | 1.04805 | + | 1.81528i | 0.101796 | + | 0.176315i | ||||
\(107\) | 11.4769 | + | 6.62621i | 1.10952 | + | 0.640580i | 0.938704 | − | 0.344724i | \(-0.112027\pi\) |
0.170813 | + | 0.985304i | \(0.445361\pi\) | |||||||
\(108\) | 2.41578 | − | 4.60043i | 0.232459 | − | 0.442677i | ||||
\(109\) | −4.23287 | + | 7.33155i | −0.405436 | + | 0.702235i | −0.994372 | − | 0.105944i | \(-0.966213\pi\) |
0.588936 | + | 0.808179i | \(0.299547\pi\) | |||||||
\(110\) | 14.6545 | 1.39726 | ||||||||
\(111\) | −11.2738 | − | 3.93366i | −1.07006 | − | 0.373367i | ||||
\(112\) | 2.09752 | − | 1.61258i | 0.198197 | − | 0.152374i | ||||
\(113\) | 10.1766 | + | 5.87547i | 0.957335 | + | 0.552717i | 0.895352 | − | 0.445360i | \(-0.146924\pi\) |
0.0619829 | + | 0.998077i | \(0.480258\pi\) | |||||||
\(114\) | −6.87822 | − | 2.39996i | −0.644205 | − | 0.224777i | ||||
\(115\) | − | 8.55134i | − | 0.797416i | ||||||
\(116\) | 3.39215 | + | 1.95846i | 0.314953 | + | 0.181838i | ||||
\(117\) | −10.1959 | + | 3.61146i | −0.942616 | + | 0.333880i | ||||
\(118\) | − | 9.71836i | − | 0.894648i | ||||||
\(119\) | −0.815350 | − | 6.14911i | −0.0747430 | − | 0.563688i | ||||
\(120\) | 4.50691 | + | 5.22776i | 0.411423 | + | 0.477227i | ||||
\(121\) | −2.52315 | −0.229377 | ||||||||
\(122\) | 0.138387 | − | 0.239694i | 0.0125290 | − | 0.0217009i | ||||
\(123\) | 4.06924 | − | 3.50814i | 0.366911 | − | 0.316318i | ||||
\(124\) | − | 8.56940i | − | 0.769555i | ||||||
\(125\) | −23.4343 | −2.09603 | ||||||||
\(126\) | −6.80948 | − | 4.07810i | −0.606637 | − | 0.363306i | ||||
\(127\) | 0.726767 | + | 1.25880i | 0.0644901 | + | 0.111700i | 0.896468 | − | 0.443109i | \(-0.146125\pi\) |
−0.831978 | + | 0.554809i | \(0.812791\pi\) | |||||||
\(128\) | 0.866025 | + | 0.500000i | 0.0765466 | + | 0.0441942i | ||||
\(129\) | 8.86036 | + | 3.09157i | 0.780112 | + | 0.272198i | ||||
\(130\) | 0.507863 | − | 14.3593i | 0.0445426 | − | 1.25939i | ||||
\(131\) | −8.82931 | − | 15.2928i | −0.771421 | − | 1.33614i | −0.936784 | − | 0.349907i | \(-0.886213\pi\) |
0.165364 | − | 0.986233i | \(-0.447120\pi\) | |||||||
\(132\) | −4.15896 | − | 4.82416i | −0.361991 | − | 0.419889i | ||||
\(133\) | −4.24891 | + | 10.2848i | −0.368427 | + | 0.891802i | ||||
\(134\) | −9.27410 | − | 5.35441i | −0.801161 | − | 0.462550i | ||||
\(135\) | 9.62701 | − | 18.3329i | 0.828561 | − | 1.57785i | ||||
\(136\) | 2.03038 | − | 1.17224i | 0.174104 | − | 0.100519i | ||||
\(137\) | −10.8746 | + | 6.27848i | −0.929084 | + | 0.536407i | −0.886522 | − | 0.462687i | \(-0.846885\pi\) |
−0.0425621 | + | 0.999094i | \(0.513552\pi\) | |||||||
\(138\) | −2.81503 | + | 2.42687i | −0.239631 | + | 0.206589i | ||||
\(139\) | 13.3742 | + | 7.72159i | 1.13438 | + | 0.654937i | 0.945034 | − | 0.326973i | \(-0.106029\pi\) |
0.189350 | + | 0.981910i | \(0.439362\pi\) | |||||||
\(140\) | 8.35871 | − | 6.42619i | 0.706440 | − | 0.543113i | ||||
\(141\) | −15.2570 | + | 13.1533i | −1.28487 | + | 1.10771i | ||||
\(142\) | 1.87136 | + | 3.24128i | 0.157041 | + | 0.272002i | ||||
\(143\) | −0.468655 | + | 13.2507i | −0.0391909 | + | 1.10808i | ||||
\(144\) | 0.441872 | − | 2.96728i | 0.0368226 | − | 0.247273i | ||||
\(145\) | 13.5179 | + | 7.80454i | 1.12260 | + | 0.648132i | ||||
\(146\) | 0.273908 | + | 0.474423i | 0.0226688 | + | 0.0392635i | ||||
\(147\) | −6.80241 | + | 10.0363i | −0.561053 | + | 0.827780i | ||||
\(148\) | −6.89376 | −0.566664 | ||||||||
\(149\) | − | 4.04297i | − | 0.331213i | −0.986192 | − | 0.165607i | \(-0.947042\pi\) | ||
0.986192 | − | 0.165607i | \(-0.0529582\pi\) | |||||||
\(150\) | 12.3055 | + | 14.2736i | 1.00474 | + | 1.16544i | ||||
\(151\) | 4.77604 | − | 8.27235i | 0.388669 | − | 0.673194i | −0.603602 | − | 0.797286i | \(-0.706268\pi\) |
0.992271 | + | 0.124092i | \(0.0396017\pi\) | |||||||
\(152\) | −4.20594 | −0.341147 | ||||||||
\(153\) | −5.50674 | − | 4.37554i | −0.445193 | − | 0.353742i | ||||
\(154\) | −7.71339 | + | 5.93007i | −0.621563 | + | 0.477859i | ||||
\(155\) | − | 34.1494i | − | 2.74295i | ||||||
\(156\) | −4.87110 | + | 3.90799i | −0.390000 | + | 0.312890i | ||||
\(157\) | 17.0665 | + | 9.85334i | 1.36205 | + | 0.786383i | 0.989897 | − | 0.141787i | \(-0.0452849\pi\) |
0.372157 | + | 0.928170i | \(0.378618\pi\) | |||||||
\(158\) | − | 3.12743i | − | 0.248805i | ||||||
\(159\) | 1.19606 | − | 3.42788i | 0.0948539 | − | 0.271849i | ||||
\(160\) | 3.45115 | + | 1.99252i | 0.272837 | + | 0.157523i | ||||
\(161\) | 3.46036 | + | 4.50098i | 0.272715 | + | 0.354727i | ||||
\(162\) | −8.76720 | + | 2.03376i | −0.688816 | + | 0.159787i | ||||
\(163\) | −0.359741 | −0.0281771 | −0.0140886 | − | 0.999901i | \(-0.504485\pi\) | ||||
−0.0140886 | + | 0.999901i | \(0.504485\pi\) | |||||||
\(164\) | 1.55096 | − | 2.68634i | 0.121110 | − | 0.209768i | ||||
\(165\) | −16.5737 | − | 19.2245i | −1.29026 | − | 1.49662i | ||||
\(166\) | 11.2954 | + | 6.52141i | 0.876694 | + | 0.506159i | ||||
\(167\) | 1.89219 | + | 3.27738i | 0.146422 | + | 0.253611i | 0.929903 | − | 0.367806i | \(-0.119891\pi\) |
−0.783480 | + | 0.621417i | \(0.786557\pi\) | |||||||
\(168\) | −4.48766 | − | 0.927864i | −0.346230 | − | 0.0715863i | ||||
\(169\) | 12.9675 | + | 0.918426i | 0.997501 | + | 0.0706481i | ||||
\(170\) | 8.09117 | − | 4.67144i | 0.620565 | − | 0.358283i | ||||
\(171\) | 4.63060 | + | 11.7374i | 0.354111 | + | 0.897582i | ||||
\(172\) | 5.41799 | 0.413118 | ||||||||
\(173\) | 21.4864 | 1.63358 | 0.816789 | − | 0.576937i | \(-0.195752\pi\) | ||||
0.816789 | + | 0.576937i | \(0.195752\pi\) | |||||||
\(174\) | −1.26718 | − | 6.66491i | −0.0960649 | − | 0.505265i | ||||
\(175\) | 22.8222 | − | 17.5458i | 1.72520 | − | 1.32634i | ||||
\(176\) | −3.18471 | − | 1.83869i | −0.240056 | − | 0.138597i | ||||
\(177\) | −12.7490 | + | 10.9911i | −0.958272 | + | 0.826138i | ||||
\(178\) | −1.66184 | + | 0.959464i | −0.124560 | + | 0.0719149i | ||||
\(179\) | 15.3946i | 1.15065i | 0.817926 | + | 0.575324i | \(0.195124\pi\) | ||||
−0.817926 | + | 0.575324i | \(0.804876\pi\) | |||||||
\(180\) | 1.76088 | − | 11.8247i | 0.131248 | − | 0.881364i | ||||
\(181\) | − | 23.9027i | − | 1.77668i | −0.459189 | − | 0.888339i | \(-0.651860\pi\) | ||
0.459189 | − | 0.888339i | \(-0.348140\pi\) | |||||||
\(182\) | 5.54329 | + | 7.76350i | 0.410896 | + | 0.575469i | ||||
\(183\) | −0.470951 | + | 0.0895408i | −0.0348137 | + | 0.00661905i | ||||
\(184\) | −1.07293 | + | 1.85837i | −0.0790974 | + | 0.137001i | ||||
\(185\) | −27.4719 | −2.01978 | ||||||||
\(186\) | −11.2417 | + | 9.69162i | −0.824283 | + | 0.710624i | ||||
\(187\) | −7.46650 | + | 4.31079i | −0.546005 | + | 0.315236i | ||||
\(188\) | −5.81511 | + | 10.0721i | −0.424110 | + | 0.734580i | ||||
\(189\) | 2.35140 | + | 13.5451i | 0.171039 | + | 0.985264i | ||||
\(190\) | −16.7609 | −1.21596 | ||||||||
\(191\) | − | 15.2675i | − | 1.10472i | −0.833607 | − | 0.552359i | \(-0.813728\pi\) | ||
0.833607 | − | 0.552359i | \(-0.186272\pi\) | |||||||
\(192\) | −0.323515 | − | 1.70157i | −0.0233477 | − | 0.122800i | ||||
\(193\) | 16.7108 | 1.20287 | 0.601436 | − | 0.798921i | \(-0.294596\pi\) | ||||
0.601436 | + | 0.798921i | \(0.294596\pi\) | |||||||
\(194\) | 1.19980 | + | 2.07811i | 0.0861405 | + | 0.149200i | ||||
\(195\) | −19.4115 | + | 15.5735i | −1.39009 | + | 1.11524i | ||||
\(196\) | −1.79918 | + | 6.76483i | −0.128513 | + | 0.483202i | ||||
\(197\) | 1.81961 | − | 1.05055i | 0.129642 | − | 0.0748488i | −0.433776 | − | 0.901021i | \(-0.642819\pi\) |
0.563418 | + | 0.826172i | \(0.309486\pi\) | |||||||
\(198\) | −1.62493 | + | 10.9118i | −0.115479 | + | 0.775470i | ||||
\(199\) | 13.1160 | − | 7.57254i | 0.929770 | − | 0.536803i | 0.0430311 | − | 0.999074i | \(-0.486299\pi\) |
0.886739 | + | 0.462271i | \(0.152965\pi\) | |||||||
\(200\) | 9.42285 | + | 5.44029i | 0.666296 | + | 0.384686i | ||||
\(201\) | 3.46447 | + | 18.2218i | 0.244365 | + | 1.28527i | ||||
\(202\) | −6.52563 | − | 3.76758i | −0.459142 | − | 0.265086i | ||||
\(203\) | −10.2733 | + | 1.36220i | −0.721042 | + | 0.0956076i | ||||
\(204\) | −3.83408 | − | 1.33779i | −0.268439 | − | 0.0936642i | ||||
\(205\) | 6.18065 | − | 10.7052i | 0.431675 | − | 0.747683i | ||||
\(206\) | −9.01095 | −0.627822 | ||||||||
\(207\) | 6.36736 | + | 0.948194i | 0.442562 | + | 0.0659040i | ||||
\(208\) | −1.91202 | + | 3.05683i | −0.132575 | + | 0.211953i | ||||
\(209\) | 15.4669 | 1.06986 | ||||||||
\(210\) | −17.8835 | − | 3.69758i | −1.23408 | − | 0.255157i | ||||
\(211\) | −7.97522 | − | 13.8135i | −0.549037 | − | 0.950960i | −0.998341 | − | 0.0575808i | \(-0.981661\pi\) |
0.449304 | − | 0.893379i | \(-0.351672\pi\) | |||||||
\(212\) | − | 2.09610i | − | 0.143961i | ||||||
\(213\) | 2.13564 | − | 6.12068i | 0.146331 | − | 0.419382i | ||||
\(214\) | −6.62621 | − | 11.4769i | −0.452958 | − | 0.784547i | ||||
\(215\) | 21.5909 | 1.47249 | ||||||||
\(216\) | −4.39235 | + | 2.77620i | −0.298861 | + | 0.188896i | ||||
\(217\) | 13.8188 | + | 17.9745i | 0.938083 | + | 1.22019i | ||||
\(218\) | 7.33155 | − | 4.23287i | 0.496555 | − | 0.286686i | ||||
\(219\) | 0.312591 | − | 0.895878i | 0.0211229 | − | 0.0605378i | ||||
\(220\) | −12.6912 | − | 7.32727i | −0.855641 | − | 0.494004i | ||||
\(221\) | 3.96519 | + | 7.46548i | 0.266727 | + | 0.502182i | ||||
\(222\) | 7.79655 | + | 9.04354i | 0.523270 | + | 0.606963i | ||||
\(223\) | −15.9530 | + | 9.21049i | −1.06829 | + | 0.616780i | −0.927715 | − | 0.373289i | \(-0.878230\pi\) |
−0.140580 | + | 0.990069i | \(0.544897\pi\) | |||||||
\(224\) | −2.62280 | + | 0.347773i | −0.175243 | + | 0.0232366i | ||||
\(225\) | 4.80782 | − | 32.2857i | 0.320521 | − | 2.15238i | ||||
\(226\) | −5.87547 | − | 10.1766i | −0.390830 | − | 0.676938i | ||||
\(227\) | −4.89426 | − | 8.47711i | −0.324843 | − | 0.562645i | 0.656637 | − | 0.754207i | \(-0.271978\pi\) |
−0.981481 | + | 0.191561i | \(0.938645\pi\) | |||||||
\(228\) | 4.75674 | + | 5.51754i | 0.315023 | + | 0.365408i | ||||
\(229\) | −3.72044 | + | 2.14800i | −0.245853 | + | 0.141944i | −0.617864 | − | 0.786285i | \(-0.712002\pi\) |
0.372011 | + | 0.928228i | \(0.378668\pi\) | |||||||
\(230\) | −4.27567 | + | 7.40567i | −0.281929 | + | 0.488316i | ||||
\(231\) | 16.5028 | + | 3.41211i | 1.08581 | + | 0.224501i | ||||
\(232\) | −1.95846 | − | 3.39215i | −0.128579 | − | 0.222706i | ||||
\(233\) | −8.68795 | + | 5.01599i | −0.569167 | + | 0.328609i | −0.756817 | − | 0.653627i | \(-0.773246\pi\) |
0.187650 | + | 0.982236i | \(0.439913\pi\) | |||||||
\(234\) | 10.6357 | + | 1.97035i | 0.695276 | + | 0.128806i | ||||
\(235\) | −23.1735 | + | 40.1376i | −1.51167 | + | 2.61829i | ||||
\(236\) | −4.85918 | + | 8.41635i | −0.316306 | + | 0.547858i | ||||
\(237\) | −4.10271 | + | 3.53699i | −0.266499 | + | 0.229752i | ||||
\(238\) | −2.36844 | + | 5.73296i | −0.153523 | + | 0.371612i | ||||
\(239\) | − | 11.8430i | − | 0.766060i | −0.923736 | − | 0.383030i | \(-0.874881\pi\) | ||
0.923736 | − | 0.383030i | \(-0.125119\pi\) | |||||||
\(240\) | −1.28922 | − | 6.78083i | −0.0832190 | − | 0.437701i | ||||
\(241\) | 0.818728 | − | 0.472693i | 0.0527389 | − | 0.0304488i | −0.473399 | − | 0.880848i | \(-0.656973\pi\) |
0.526138 | + | 0.850399i | \(0.323640\pi\) | |||||||
\(242\) | 2.18511 | + | 1.26158i | 0.140464 | + | 0.0810972i | ||||
\(243\) | 12.5833 | + | 9.20111i | 0.807219 | + | 0.590252i | ||||
\(244\) | −0.239694 | + | 0.138387i | −0.0153448 | + | 0.00885934i | ||||
\(245\) | −7.16983 | + | 26.9581i | −0.458064 | + | 1.72229i | ||||
\(246\) | −5.27814 | + | 1.00352i | −0.336522 | + | 0.0639821i | ||||
\(247\) | 0.536015 | − | 15.1553i | 0.0341058 | − | 0.964306i | ||||
\(248\) | −4.28470 | + | 7.42132i | −0.272079 | + | 0.471254i | ||||
\(249\) | −4.21955 | − | 22.1933i | −0.267403 | − | 1.40644i | ||||
\(250\) | 20.2947 | + | 11.7172i | 1.28355 | + | 0.741059i | ||||
\(251\) | 7.94764 | − | 13.7657i | 0.501650 | − | 0.868884i | −0.498348 | − | 0.866977i | \(-0.666060\pi\) |
0.999998 | − | 0.00190672i | \(-0.000606929\pi\) | |||||||
\(252\) | 3.85813 | + | 6.93648i | 0.243040 | + | 0.436957i | ||||
\(253\) | 3.94557 | − | 6.83393i | 0.248056 | − | 0.429645i | ||||
\(254\) | − | 1.45353i | − | 0.0912028i | ||||||
\(255\) | −15.2790 | − | 5.33116i | −0.956806 | − | 0.333850i | ||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | −10.0986 | + | 17.4913i | −0.629933 | + | 1.09108i | 0.357632 | + | 0.933862i | \(0.383584\pi\) |
−0.987565 | + | 0.157213i | \(0.949749\pi\) | |||||||
\(258\) | −6.12752 | − | 7.10756i | −0.381482 | − | 0.442497i | ||||
\(259\) | 14.4598 | − | 11.1167i | 0.898489 | − | 0.690760i | ||||
\(260\) | −7.61947 | + | 12.1816i | −0.472540 | + | 0.755470i | ||||
\(261\) | −7.31019 | + | 9.20007i | −0.452489 | + | 0.569470i | ||||
\(262\) | 17.6586i | 1.09095i | ||||||||
\(263\) | 29.8887i | 1.84302i | 0.388357 | + | 0.921509i | \(0.373043\pi\) | ||||
−0.388357 | + | 0.921509i | \(0.626957\pi\) | |||||||
\(264\) | 1.18969 | + | 6.25732i | 0.0732204 | + | 0.385112i | ||||
\(265\) | − | 8.35306i | − | 0.513125i | ||||||
\(266\) | 8.82204 | − | 6.78241i | 0.540914 | − | 0.415856i | ||||
\(267\) | 3.13814 | + | 1.09496i | 0.192051 | + | 0.0670107i | ||||
\(268\) | 5.35441 | + | 9.27410i | 0.327072 | + | 0.566506i | ||||
\(269\) | −6.40279 | − | 11.0900i | −0.390385 | − | 0.676166i | 0.602115 | − | 0.798409i | \(-0.294325\pi\) |
−0.992500 | + | 0.122243i | \(0.960991\pi\) | |||||||
\(270\) | −17.5037 | + | 11.0633i | −1.06524 | + | 0.673290i | ||||
\(271\) | −27.3531 | − | 15.7923i | −1.66158 | − | 0.959313i | −0.971961 | − | 0.235140i | \(-0.924445\pi\) |
−0.689618 | − | 0.724173i | \(-0.742222\pi\) | |||||||
\(272\) | −2.34449 | −0.142155 | ||||||||
\(273\) | 3.91529 | − | 16.0521i | 0.236964 | − | 0.971518i | ||||
\(274\) | 12.5570 | 0.758594 | ||||||||
\(275\) | −34.6514 | − | 20.0060i | −2.08956 | − | 1.20641i | ||||
\(276\) | 3.65133 | − | 0.694218i | 0.219784 | − | 0.0417870i | ||||
\(277\) | −8.14386 | − | 14.1056i | −0.489317 | − | 0.847522i | 0.510608 | − | 0.859814i | \(-0.329420\pi\) |
−0.999924 | + | 0.0122922i | \(0.996087\pi\) | |||||||
\(278\) | −7.72159 | − | 13.3742i | −0.463110 | − | 0.802130i | ||||
\(279\) | 25.4278 | + | 3.78657i | 1.52232 | + | 0.226696i | ||||
\(280\) | −10.4520 | + | 1.38589i | −0.624624 | + | 0.0828229i | ||||
\(281\) | 13.4422i | 0.801897i | 0.916101 | + | 0.400948i | \(0.131319\pi\) | ||||
−0.916101 | + | 0.400948i | \(0.868681\pi\) | |||||||
\(282\) | 19.7896 | − | 3.76255i | 1.17845 | − | 0.224057i | ||||
\(283\) | 12.9575i | 0.770242i | 0.922866 | + | 0.385121i | \(0.125840\pi\) | ||||
−0.922866 | + | 0.385121i | \(0.874160\pi\) | |||||||
\(284\) | − | 3.74271i | − | 0.222089i | ||||||
\(285\) | 18.9558 | + | 21.9876i | 1.12285 | + | 1.30243i | ||||
\(286\) | 7.03122 | − | 11.2411i | 0.415765 | − | 0.664702i | ||||
\(287\) | 1.07877 | + | 8.13571i | 0.0636775 | + | 0.480236i | ||||
\(288\) | −1.86631 | + | 2.34880i | −0.109973 | + | 0.138405i | ||||
\(289\) | 5.75169 | − | 9.96222i | 0.338335 | − | 0.586013i | ||||
\(290\) | −7.80454 | − | 13.5179i | −0.458299 | − | 0.793796i | ||||
\(291\) | 1.36924 | − | 3.92420i | 0.0802662 | − | 0.230041i | ||||
\(292\) | − | 0.547817i | − | 0.0320586i | ||||||
\(293\) | −12.9609 | + | 22.4489i | −0.757182 | + | 1.31148i | 0.187101 | + | 0.982341i | \(0.440091\pi\) |
−0.944282 | + | 0.329136i | \(0.893242\pi\) | |||||||
\(294\) | 10.9092 | − | 5.29048i | 0.636238 | − | 0.308547i | ||||
\(295\) | −19.3641 | + | 33.5395i | −1.12742 | + | 1.95275i | ||||
\(296\) | 5.97017 | + | 3.44688i | 0.347009 | + | 0.200346i | ||||
\(297\) | 16.1523 | − | 10.2092i | 0.937254 | − | 0.592395i | ||||
\(298\) | −2.02149 | + | 3.50132i | −0.117102 | + | 0.202826i | ||||
\(299\) | −6.55951 | − | 4.10292i | −0.379347 | − | 0.237278i | ||||
\(300\) | −3.52003 | − | 18.5140i | −0.203229 | − | 1.06891i | ||||
\(301\) | −11.3643 | + | 8.73693i | −0.655030 | + | 0.503588i | ||||
\(302\) | −8.27235 | + | 4.77604i | −0.476020 | + | 0.274830i | ||||
\(303\) | 2.43774 | + | 12.8216i | 0.140044 | + | 0.736581i | ||||
\(304\) | 3.64245 | + | 2.10297i | 0.208909 | + | 0.120614i | ||||
\(305\) | −0.955190 | + | 0.551479i | −0.0546940 | + | 0.0315776i | ||||
\(306\) | 2.58120 | + | 6.54270i | 0.147558 | + | 0.374021i | ||||
\(307\) | 20.1696i | 1.15114i | 0.817753 | + | 0.575569i | \(0.195219\pi\) | ||||
−0.817753 | + | 0.575569i | \(0.804781\pi\) | |||||||
\(308\) | 9.64502 | − | 1.27890i | 0.549576 | − | 0.0728718i | ||||
\(309\) | 10.1910 | + | 11.8210i | 0.579746 | + | 0.672471i | ||||
\(310\) | −17.0747 | + | 29.5743i | −0.969778 | + | 1.67971i | ||||
\(311\) | −12.0287 | + | 20.8342i | −0.682082 | + | 1.18140i | 0.292262 | + | 0.956338i | \(0.405592\pi\) |
−0.974344 | + | 0.225063i | \(0.927741\pi\) | |||||||
\(312\) | 6.17249 | − | 0.948870i | 0.349448 | − | 0.0537192i | ||||
\(313\) | −6.85676 | + | 3.95875i | −0.387567 | + | 0.223762i | −0.681105 | − | 0.732185i | \(-0.738500\pi\) |
0.293539 | + | 0.955947i | \(0.405167\pi\) | |||||||
\(314\) | −9.85334 | − | 17.0665i | −0.556056 | − | 0.963118i | ||||
\(315\) | 15.3748 | + | 27.6422i | 0.866274 | + | 1.55746i | ||||
\(316\) | −1.56372 | + | 2.70844i | −0.0879659 | + | 0.152361i | ||||
\(317\) | 23.9291 | − | 13.8155i | 1.34399 | − | 0.775954i | 0.356601 | − | 0.934257i | \(-0.383935\pi\) |
0.987391 | + | 0.158302i | \(0.0506021\pi\) | |||||||
\(318\) | −2.74976 | + | 2.37060i | −0.154199 | + | 0.132937i | ||||
\(319\) | 7.20200 | + | 12.4742i | 0.403235 | + | 0.698423i | ||||
\(320\) | −1.99252 | − | 3.45115i | −0.111385 | − | 0.192925i | ||||
\(321\) | −7.56199 | + | 21.6725i | −0.422069 | + | 1.20964i | ||||
\(322\) | −0.746272 | − | 5.62814i | −0.0415881 | − | 0.313644i | ||||
\(323\) | 8.53968 | − | 4.93038i | 0.475160 | − | 0.274334i | ||||
\(324\) | 8.60950 | + | 2.62231i | 0.478305 | + | 0.145684i | ||||
\(325\) | −20.8038 | + | 33.2600i | −1.15399 | + | 1.84493i | ||||
\(326\) | 0.311545 | + | 0.179871i | 0.0172549 | + | 0.00996211i | ||||
\(327\) | −13.8445 | − | 4.83066i | −0.765605 | − | 0.267136i | ||||
\(328\) | −2.68634 | + | 1.55096i | −0.148329 | + | 0.0856375i | ||||
\(329\) | −4.04468 | − | 30.5037i | −0.222990 | − | 1.68172i | ||||
\(330\) | 4.74097 | + | 24.9357i | 0.260982 | + | 1.37267i | ||||
\(331\) | 13.3256 | 0.732442 | 0.366221 | − | 0.930528i | \(-0.380651\pi\) | ||||
0.366221 | + | 0.930528i | \(0.380651\pi\) | |||||||
\(332\) | −6.52141 | − | 11.2954i | −0.357909 | − | 0.619916i | ||||
\(333\) | 3.04616 | − | 20.4557i | 0.166928 | − | 1.12097i | ||||
\(334\) | − | 3.78439i | − | 0.207072i | ||||||
\(335\) | 21.3375 | + | 36.9577i | 1.16579 | + | 2.01922i | ||||
\(336\) | 3.42249 | + | 3.04738i | 0.186712 | + | 0.166248i | ||||
\(337\) | 6.30526 | 0.343469 | 0.171735 | − | 0.985143i | \(-0.445063\pi\) | ||||
0.171735 | + | 0.985143i | \(0.445063\pi\) | |||||||
\(338\) | −10.7710 | − | 7.27914i | −0.585864 | − | 0.395933i | ||||
\(339\) | −6.70522 | + | 19.2170i | −0.364178 | + | 1.04372i | ||||
\(340\) | −9.34288 | −0.506689 | ||||||||
\(341\) | 15.7565 | − | 27.2910i | 0.853261 | − | 1.47789i | ||||
\(342\) | 1.85849 | − | 12.4802i | 0.100495 | − | 0.674852i | ||||
\(343\) | −7.13499 | − | 17.0907i | −0.385253 | − | 0.922811i | ||||
\(344\) | −4.69212 | − | 2.70900i | −0.252982 | − | 0.146059i | ||||
\(345\) | 14.5507 | − | 2.76649i | 0.783383 | − | 0.148943i | ||||
\(346\) | −18.6077 | − | 10.7432i | −1.00036 | − | 0.577557i | ||||
\(347\) | −12.8413 | + | 7.41392i | −0.689357 | + | 0.398000i | −0.803371 | − | 0.595479i | \(-0.796962\pi\) |
0.114014 | + | 0.993479i | \(0.463629\pi\) | |||||||
\(348\) | −2.23504 | + | 6.40557i | −0.119811 | + | 0.343375i | ||||
\(349\) | −2.57029 | + | 1.48396i | −0.137584 | + | 0.0794343i | −0.567212 | − | 0.823572i | \(-0.691978\pi\) |
0.429628 | + | 0.903006i | \(0.358645\pi\) | |||||||
\(350\) | −28.5375 | + | 3.78397i | −1.52539 | + | 0.202262i | ||||
\(351\) | −9.44370 | − | 16.1807i | −0.504068 | − | 0.863664i | ||||
\(352\) | 1.83869 | + | 3.18471i | 0.0980026 | + | 0.169745i | ||||
\(353\) | −8.60692 | −0.458100 | −0.229050 | − | 0.973415i | \(-0.573562\pi\) | ||||
−0.229050 | + | 0.973415i | \(0.573562\pi\) | |||||||
\(354\) | 16.5365 | − | 3.14404i | 0.878903 | − | 0.167104i | ||||
\(355\) | − | 14.9149i | − | 0.791599i | ||||||
\(356\) | 1.91893 | 0.101703 | ||||||||
\(357\) | 10.1994 | − | 3.37671i | 0.539807 | − | 0.178714i | ||||
\(358\) | 7.69731 | − | 13.3321i | 0.406815 | − | 0.704625i | ||||
\(359\) | −6.89926 | + | 3.98329i | −0.364129 | + | 0.210230i | −0.670891 | − | 0.741556i | \(-0.734088\pi\) |
0.306761 | + | 0.951786i | \(0.400755\pi\) | |||||||
\(360\) | −7.43734 | + | 9.36009i | −0.391982 | + | 0.493320i | ||||
\(361\) | 1.31007 | 0.0689512 | ||||||||
\(362\) | −11.9514 | + | 20.7004i | −0.628150 | + | 1.08799i | ||||
\(363\) | −0.816278 | − | 4.29332i | −0.0428435 | − | 0.225341i | ||||
\(364\) | −0.918875 | − | 9.49503i | −0.0481622 | − | 0.497675i | ||||
\(365\) | − | 2.18307i | − | 0.114267i | ||||||
\(366\) | 0.452626 | + | 0.157931i | 0.0236591 | + | 0.00825518i | ||||
\(367\) | − | 22.7843i | − | 1.18933i | −0.803974 | − | 0.594665i | \(-0.797285\pi\) | ||
0.803974 | − | 0.594665i | \(-0.202715\pi\) | |||||||
\(368\) | 1.85837 | − | 1.07293i | 0.0968741 | − | 0.0559303i | ||||
\(369\) | 7.28581 | + | 5.78916i | 0.379284 | + | 0.301371i | ||||
\(370\) | 23.7914 | + | 13.7360i | 1.23686 | + | 0.714099i | ||||
\(371\) | 3.38013 | + | 4.39662i | 0.175488 | + | 0.228261i | ||||
\(372\) | 14.5814 | − | 2.77233i | 0.756011 | − | 0.143739i | ||||
\(373\) | 20.9264 | 1.08353 | 0.541765 | − | 0.840530i | \(-0.317756\pi\) | ||||
0.541765 | + | 0.840530i | \(0.317756\pi\) | |||||||
\(374\) | 8.62158 | 0.445811 | ||||||||
\(375\) | −7.58137 | − | 39.8752i | −0.391500 | − | 2.05914i | ||||
\(376\) | 10.0721 | − | 5.81511i | 0.519427 | − | 0.299891i | ||||
\(377\) | 12.4725 | − | 6.62461i | 0.642367 | − | 0.341185i | ||||
\(378\) | 4.73620 | − | 12.9061i | 0.243604 | − | 0.663820i | ||||
\(379\) | 0.0758760 | + | 0.131421i | 0.00389749 | + | 0.00675064i | 0.867968 | − | 0.496621i | \(-0.165426\pi\) |
−0.864070 | + | 0.503372i | \(0.832093\pi\) | |||||||
\(380\) | 14.5153 | + | 8.38043i | 0.744620 | + | 0.429907i | ||||
\(381\) | −1.90681 | + | 1.64388i | −0.0976888 | + | 0.0842187i | ||||
\(382\) | −7.63375 | + | 13.2220i | −0.390576 | + | 0.676498i | ||||
\(383\) | −11.3500 | −0.579960 | −0.289980 | − | 0.957033i | \(-0.593649\pi\) | ||||
−0.289980 | + | 0.957033i | \(0.593649\pi\) | |||||||
\(384\) | −0.570612 | + | 1.63536i | −0.0291189 | + | 0.0834541i | ||||
\(385\) | 38.4358 | − | 5.09646i | 1.95887 | − | 0.259739i | ||||
\(386\) | −14.4720 | − | 8.35541i | −0.736605 | − | 0.425279i | ||||
\(387\) | −2.39406 | + | 16.0767i | −0.121697 | + | 0.817224i | ||||
\(388\) | − | 2.39960i | − | 0.121821i | ||||||
\(389\) | −18.4814 | − | 10.6702i | −0.937043 | − | 0.541002i | −0.0480112 | − | 0.998847i | \(-0.515288\pi\) |
−0.889032 | + | 0.457845i | \(0.848622\pi\) | |||||||
\(390\) | 24.5976 | − | 3.78129i | 1.24555 | − | 0.191473i | ||||
\(391\) | − | 5.03093i | − | 0.254425i | ||||||
\(392\) | 4.94055 | − | 4.95892i | 0.249536 | − | 0.250463i | ||||
\(393\) | 23.1654 | − | 19.9712i | 1.16854 | − | 1.00741i | ||||
\(394\) | −2.10111 | −0.105852 | ||||||||
\(395\) | −6.23148 | + | 10.7932i | −0.313540 | + | 0.543067i | ||||
\(396\) | 6.86315 | − | 8.63745i | 0.344886 | − | 0.434048i | ||||
\(397\) | − | 16.3409i | − | 0.820125i | −0.912057 | − | 0.410063i | \(-0.865507\pi\) | ||
0.912057 | − | 0.410063i | \(-0.134493\pi\) | |||||||
\(398\) | −15.1451 | −0.759154 | ||||||||
\(399\) | −18.8748 | − | 3.90254i | −0.944923 | − | 0.195371i | ||||
\(400\) | −5.44029 | − | 9.42285i | −0.272014 | − | 0.471143i | ||||
\(401\) | 24.2320 | + | 13.9903i | 1.21009 | + | 0.698644i | 0.962778 | − | 0.270293i | \(-0.0871207\pi\) |
0.247308 | + | 0.968937i | \(0.420454\pi\) | |||||||
\(402\) | 6.11058 | − | 17.5128i | 0.304768 | − | 0.873457i | ||||
\(403\) | −26.1952 | − | 16.3848i | −1.30487 | − | 0.816187i | ||||
\(404\) | 3.76758 | + | 6.52563i | 0.187444 | + | 0.324662i | ||||
\(405\) | 34.3092 | + | 10.4500i | 1.70484 | + | 0.519267i | ||||
\(406\) | 9.57801 | + | 3.95694i | 0.475349 | + | 0.196379i | ||||
\(407\) | −21.9546 | − | 12.6755i | −1.08825 | − | 0.628301i | ||||
\(408\) | 2.65151 | + | 3.07560i | 0.131269 | + | 0.152265i | ||||
\(409\) | −25.9794 | + | 14.9992i | −1.28460 | + | 0.741664i | −0.977686 | − | 0.210073i | \(-0.932630\pi\) |
−0.306915 | + | 0.951737i | \(0.599297\pi\) | |||||||
\(410\) | −10.7052 | + | 6.18065i | −0.528692 | + | 0.305240i | ||||
\(411\) | −14.2014 | − | 16.4728i | −0.700503 | − | 0.812542i | ||||
\(412\) | 7.80371 | + | 4.50547i | 0.384461 | + | 0.221969i | ||||
\(413\) | −3.37979 | − | 25.4893i | −0.166308 | − | 1.25425i | ||||
\(414\) | −5.04020 | − | 4.00484i | −0.247712 | − | 0.196827i | ||||
\(415\) | −25.9881 | − | 45.0127i | −1.27571 | − | 2.20959i | ||||
\(416\) | 3.18427 | − | 1.69128i | 0.156122 | − | 0.0829219i | ||||
\(417\) | −8.81206 | + | 25.2552i | −0.431529 | + | 1.23675i | ||||
\(418\) | −13.3947 | − | 7.73343i | −0.655156 | − | 0.378254i | ||||
\(419\) | −12.1211 | − | 20.9944i | −0.592155 | − | 1.02564i | −0.993942 | − | 0.109909i | \(-0.964944\pi\) |
0.401787 | − | 0.915733i | \(-0.368389\pi\) | |||||||
\(420\) | 13.6388 | + | 12.1440i | 0.665505 | + | 0.592564i | ||||
\(421\) | 6.28451 | 0.306288 | 0.153144 | − | 0.988204i | \(-0.451060\pi\) | ||||
0.153144 | + | 0.988204i | \(0.451060\pi\) | |||||||
\(422\) | 15.9504i | 0.776455i | ||||||||
\(423\) | −27.3171 | − | 21.7056i | −1.32820 | − | 1.05536i | ||||
\(424\) | −1.04805 | + | 1.81528i | −0.0508979 | + | 0.0881577i | ||||
\(425\) | −25.5094 | −1.23739 | ||||||||
\(426\) | −4.90986 | + | 4.23285i | −0.237883 | + | 0.205082i | ||||
\(427\) | 0.279602 | − | 0.676795i | 0.0135309 | − | 0.0327524i | ||||
\(428\) | 13.2524i | 0.640580i | ||||||||
\(429\) | −22.6986 | + | 3.48936i | −1.09590 | + | 0.168468i | ||||
\(430\) | −18.6983 | − | 10.7955i | −0.901712 | − | 0.520604i | ||||
\(431\) | − | 14.5358i | − | 0.700163i | −0.936719 | − | 0.350081i | \(-0.886154\pi\) | ||
0.936719 | − | 0.350081i | \(-0.113846\pi\) | |||||||
\(432\) | 5.19198 | − | 0.208085i | 0.249799 | − | 0.0100115i | ||||
\(433\) | −14.4330 | − | 8.33288i | −0.693604 | − | 0.400453i | 0.111357 | − | 0.993781i | \(-0.464480\pi\) |
−0.804961 | + | 0.593328i | \(0.797814\pi\) | |||||||
\(434\) | −2.98021 | − | 22.4758i | −0.143054 | − | 1.07887i | ||||
\(435\) | −8.90673 | + | 25.5265i | −0.427045 | + | 1.22390i | ||||
\(436\) | −8.46574 | −0.405436 | ||||||||
\(437\) | −4.51267 | + | 7.81618i | −0.215870 | + | 0.373899i | ||||
\(438\) | −0.718650 | + | 0.619557i | −0.0343384 | + | 0.0296036i | ||||
\(439\) | −2.16013 | − | 1.24715i | −0.103098 | − | 0.0595234i | 0.447565 | − | 0.894252i | \(-0.352291\pi\) |
−0.550662 | + | 0.834728i | \(0.685625\pi\) | |||||||
\(440\) | 7.32727 | + | 12.6912i | 0.349314 | + | 0.605029i | ||||
\(441\) | −19.2781 | − | 8.32787i | −0.918007 | − | 0.396565i | ||||
\(442\) | 0.298787 | − | 8.44788i | 0.0142118 | − | 0.401825i | ||||
\(443\) | −0.249840 | + | 0.144245i | −0.0118703 | + | 0.00685329i | −0.505923 | − | 0.862578i | \(-0.668848\pi\) |
0.494053 | + | 0.869432i | \(0.335515\pi\) | |||||||
\(444\) | −2.23024 | − | 11.7302i | −0.105842 | − | 0.556691i | ||||
\(445\) | 7.64701 | 0.362503 | ||||||||
\(446\) | 18.4210 | 0.872259 | ||||||||
\(447\) | 6.87940 | − | 1.30796i | 0.325385 | − | 0.0618646i | ||||
\(448\) | 2.44529 | + | 1.01022i | 0.115529 | + | 0.0477283i | ||||
\(449\) | −3.87035 | − | 2.23455i | −0.182653 | − | 0.105455i | 0.405886 | − | 0.913924i | \(-0.366963\pi\) |
−0.588539 | + | 0.808469i | \(0.700296\pi\) | |||||||
\(450\) | −20.3065 | + | 25.5563i | −0.957260 | + | 1.20474i | ||||
\(451\) | 9.87872 | − | 5.70348i | 0.465171 | − | 0.268566i | ||||
\(452\) | 11.7509i | 0.552717i | ||||||||
\(453\) | 15.6211 | + | 5.45054i | 0.733943 | + | 0.256089i | ||||
\(454\) | 9.78852i | 0.459398i | ||||||||
\(455\) | −3.66176 | − | 37.8381i | −0.171666 | − | 1.77388i | ||||
\(456\) | −1.36069 | − | 7.15670i | −0.0637200 | − | 0.335143i | ||||
\(457\) | 16.1415 | − | 27.9580i | 0.755069 | − | 1.30782i | −0.190271 | − | 0.981732i | \(-0.560937\pi\) |
0.945340 | − | 0.326086i | \(-0.105730\pi\) | |||||||
\(458\) | 4.29599 | 0.200738 | ||||||||
\(459\) | 5.66378 | − | 10.7857i | 0.264362 | − | 0.503431i | ||||
\(460\) | 7.40567 | − | 4.27567i | 0.345291 | − | 0.199354i | ||||
\(461\) | 19.3508 | − | 33.5166i | 0.901257 | − | 1.56102i | 0.0753926 | − | 0.997154i | \(-0.475979\pi\) |
0.825864 | − | 0.563869i | \(-0.190688\pi\) | |||||||
\(462\) | −12.5858 | − | 11.2064i | −0.585545 | − | 0.521369i | ||||
\(463\) | 3.56780 | 0.165810 | 0.0829048 | − | 0.996557i | \(-0.473580\pi\) | ||||
0.0829048 | + | 0.996557i | \(0.473580\pi\) | |||||||
\(464\) | 3.91692i | 0.181838i | ||||||||
\(465\) | 58.1076 | − | 11.0479i | 2.69468 | − | 0.512332i | ||||
\(466\) | 10.0320 | 0.464723 | ||||||||
\(467\) | 18.2961 | + | 31.6897i | 0.846641 | + | 1.46643i | 0.884188 | + | 0.467131i | \(0.154712\pi\) |
−0.0375470 | + | 0.999295i | \(0.511954\pi\) | |||||||
\(468\) | −8.22559 | − | 7.02422i | −0.380228 | − | 0.324695i | ||||
\(469\) | −26.1862 | − | 10.8182i | −1.20917 | − | 0.499539i | ||||
\(470\) | 40.1376 | − | 23.1735i | 1.85141 | − | 1.06891i | ||||
\(471\) | −11.2449 | + | 32.2275i | −0.518136 | + | 1.48497i | ||||
\(472\) | 8.41635 | − | 4.85918i | 0.387394 | − | 0.223662i | ||||
\(473\) | 17.2547 | + | 9.96202i | 0.793373 | + | 0.458054i | ||||
\(474\) | 5.32154 | − | 1.01177i | 0.244427 | − | 0.0464723i | ||||
\(475\) | 39.6320 | + | 22.8815i | 1.81844 | + | 1.04988i | ||||
\(476\) | 4.91761 | − | 3.78067i | 0.225398 | − | 0.173287i | ||||
\(477\) | 6.21973 | + | 0.926209i | 0.284782 | + | 0.0424082i | ||||
\(478\) | −5.92150 | + | 10.2563i | −0.270843 | + | 0.469114i | ||||
\(479\) | −2.07833 | −0.0949612 | −0.0474806 | − | 0.998872i | \(-0.515119\pi\) | ||||
−0.0474806 | + | 0.998872i | \(0.515119\pi\) | |||||||
\(480\) | −2.27391 | + | 6.51698i | −0.103789 | + | 0.297458i | ||||
\(481\) | −13.1810 | + | 21.0730i | −0.601001 | + | 0.960847i | ||||
\(482\) | −0.945386 | −0.0430611 | ||||||||
\(483\) | −6.53925 | + | 7.34418i | −0.297546 | + | 0.334172i | ||||
\(484\) | −1.26158 | − | 2.18511i | −0.0573444 | − | 0.0993233i | ||||
\(485\) | − | 9.56249i | − | 0.434210i | ||||||
\(486\) | −6.29691 | − | 14.2600i | −0.285633 | − | 0.646849i | ||||
\(487\) | −10.8701 | − | 18.8275i | −0.492569 | − | 0.853155i | 0.507394 | − | 0.861714i | \(-0.330609\pi\) |
−0.999963 | + | 0.00855898i | \(0.997276\pi\) | |||||||
\(488\) | 0.276774 | 0.0125290 | ||||||||
\(489\) | −0.116382 | − | 0.612125i | −0.00526297 | − | 0.0276812i | ||||
\(490\) | 19.6883 | − | 19.7615i | 0.889428 | − | 0.892735i | ||||
\(491\) | 1.43244 | − | 0.827022i | 0.0646453 | − | 0.0373230i | −0.467329 | − | 0.884083i | \(-0.654784\pi\) |
0.531974 | + | 0.846761i | \(0.321450\pi\) | |||||||
\(492\) | 5.07276 | + | 1.76999i | 0.228698 | + | 0.0797975i | ||||
\(493\) | 7.95285 | + | 4.59158i | 0.358178 | + | 0.206794i | ||||
\(494\) | −8.04183 | + | 12.8568i | −0.361819 | + | 0.578456i | ||||
\(495\) | 27.3499 | − | 34.4206i | 1.22929 | − | 1.54709i | ||||
\(496\) | 7.42132 | − | 4.28470i | 0.333227 | − | 0.192389i | ||||
\(497\) | 6.03541 | + | 7.85042i | 0.270725 | + | 0.352139i | ||||
\(498\) | −7.44239 | + | 21.3297i | −0.333501 | + | 0.955807i | ||||
\(499\) | 20.1576 | + | 34.9140i | 0.902378 | + | 1.56296i | 0.824399 | + | 0.566009i | \(0.191513\pi\) |
0.0779790 | + | 0.996955i | \(0.475153\pi\) | |||||||
\(500\) | −11.7172 | − | 20.2947i | −0.524008 | − | 0.907608i | ||||
\(501\) | −4.96453 | + | 4.27998i | −0.221799 | + | 0.191215i | ||||
\(502\) | −13.7657 | + | 7.94764i | −0.614394 | + | 0.354720i | ||||
\(503\) | 6.12895 | − | 10.6156i | 0.273276 | − | 0.473328i | −0.696423 | − | 0.717632i | \(-0.745226\pi\) |
0.969699 | + | 0.244304i | \(0.0785594\pi\) | |||||||
\(504\) | 0.126999 | − | 7.93624i | 0.00565697 | − | 0.353508i | ||||
\(505\) | 15.0140 | + | 26.0049i | 0.668112 | + | 1.15720i | ||||
\(506\) | −6.83393 | + | 3.94557i | −0.303805 | + | 0.175402i | ||||
\(507\) | 2.63243 | + | 22.3623i | 0.116910 | + | 0.993142i | ||||
\(508\) | −0.726767 | + | 1.25880i | −0.0322451 | + | 0.0558501i | ||||
\(509\) | 10.2279 | − | 17.7153i | 0.453344 | − | 0.785216i | −0.545247 | − | 0.838276i | \(-0.683564\pi\) |
0.998591 | + | 0.0530599i | \(0.0168974\pi\) | |||||||
\(510\) | 10.5664 | + | 12.2564i | 0.467888 | + | 0.542723i | ||||
\(511\) | 0.883397 | + | 1.14906i | 0.0390792 | + | 0.0508313i | ||||
\(512\) | 1.00000i | 0.0441942i | ||||||||
\(513\) | −18.4739 | + | 11.6765i | −0.815645 | + | 0.515531i | ||||
\(514\) | 17.4913 | − | 10.0986i | 0.771507 | − | 0.445430i | ||||
\(515\) | 31.0981 | + | 17.9545i | 1.37035 | + | 0.791170i | ||||
\(516\) | 1.75280 | + | 9.21909i | 0.0771629 | + | 0.405848i | ||||
\(517\) | −37.0388 | + | 21.3844i | −1.62897 | + | 0.940484i | ||||
\(518\) | −18.0809 | + | 2.39747i | −0.794430 | + | 0.105339i | ||||
\(519\) | 6.95117 | + | 36.5605i | 0.305122 | + | 1.60483i | ||||
\(520\) | 12.6895 | − | 6.73983i | 0.556469 | − | 0.295561i | ||||
\(521\) | 1.32358 | − | 2.29252i | 0.0579873 | − | 0.100437i | −0.835575 | − | 0.549377i | \(-0.814865\pi\) |
0.893562 | + | 0.448940i | \(0.148198\pi\) | |||||||
\(522\) | 10.9308 | − | 4.31240i | 0.478430 | − | 0.188749i | ||||
\(523\) | −6.15589 | − | 3.55411i | −0.269178 | − | 0.155410i | 0.359336 | − | 0.933208i | \(-0.383003\pi\) |
−0.628514 | + | 0.777798i | \(0.716337\pi\) | |||||||
\(524\) | 8.82931 | − | 15.2928i | 0.385710 | − | 0.668070i | ||||
\(525\) | 37.2387 | + | 33.1573i | 1.62523 | + | 1.44710i | ||||
\(526\) | 14.9444 | − | 25.8844i | 0.651605 | − | 1.12861i | ||||
\(527\) | − | 20.0908i | − | 0.875171i | ||||||
\(528\) | 2.09836 | − | 6.01385i | 0.0913194 | − | 0.261719i | ||||
\(529\) | −9.19765 | − | 15.9308i | −0.399898 | − | 0.692643i | ||||
\(530\) | −4.17653 | + | 7.23397i | −0.181417 | + | 0.314223i | ||||
\(531\) | −22.8265 | − | 18.1375i | −0.990587 | − | 0.787100i | ||||
\(532\) | −11.0313 | + | 1.46271i | −0.478268 | + | 0.0634167i | ||||
\(533\) | −5.24622 | − | 9.87736i | −0.227239 | − | 0.427836i | ||||
\(534\) | −2.17023 | − | 2.51734i | −0.0939149 | − | 0.108936i | ||||
\(535\) | 52.8115i | 2.28324i | ||||||||
\(536\) | − | 10.7088i | − | 0.462550i | ||||||
\(537\) | −26.1950 | + | 4.98039i | −1.13040 | + | 0.214920i | ||||
\(538\) | 12.8056i | 0.552087i | ||||||||
\(539\) | −18.1683 | + | 18.2359i | −0.782565 | + | 0.785474i | ||||
\(540\) | 20.6903 | − | 0.829229i | 0.890368 | − | 0.0356844i | ||||
\(541\) | −11.5793 | − | 20.0559i | −0.497831 | − | 0.862269i | 0.502166 | − | 0.864771i | \(-0.332537\pi\) |
−0.999997 | + | 0.00250239i | \(0.999203\pi\) | |||||||
\(542\) | 15.7923 | + | 27.3531i | 0.678337 | + | 1.17491i | ||||
\(543\) | 40.6722 | − | 7.73291i | 1.74541 | − | 0.331851i | ||||
\(544\) | 2.03038 | + | 1.17224i | 0.0870520 | + | 0.0502595i | ||||
\(545\) | −33.7364 | −1.44511 | ||||||||
\(546\) | −11.4168 | + | 11.9439i | −0.488594 | + | 0.511152i | ||||
\(547\) | 22.8911 | 0.978751 | 0.489375 | − | 0.872073i | \(-0.337225\pi\) | ||||
0.489375 | + | 0.872073i | \(0.337225\pi\) | |||||||
\(548\) | −10.8746 | − | 6.27848i | −0.464542 | − | 0.268203i | ||||
\(549\) | −0.304720 | − | 0.772388i | −0.0130051 | − | 0.0329647i | ||||
\(550\) | 20.0060 | + | 34.6514i | 0.853060 | + | 1.47754i | ||||
\(551\) | −8.23716 | − | 14.2672i | −0.350915 | − | 0.607802i | ||||
\(552\) | −3.50925 | − | 1.22445i | −0.149364 | − | 0.0521161i | ||||
\(553\) | −1.08764 | − | 8.20262i | −0.0462511 | − | 0.348811i | ||||
\(554\) | 16.2877i | 0.691999i | ||||||||
\(555\) | −8.88760 | − | 46.7454i | −0.377257 | − | 1.98423i | ||||
\(556\) | 15.4432i | 0.654937i | ||||||||
\(557\) | 4.78799i | 0.202874i | 0.994842 | + | 0.101437i | \(0.0323440\pi\) | ||||
−0.994842 | + | 0.101437i | \(0.967656\pi\) | |||||||
\(558\) | −20.1278 | − | 15.9932i | −0.852079 | − | 0.677045i | ||||
\(559\) | 10.3593 | − | 16.5619i | 0.438151 | − | 0.700492i | ||||
\(560\) | 9.74460 | + | 4.02576i | 0.411785 | + | 0.170119i | ||||
\(561\) | −9.75063 | − | 11.3102i | −0.411672 | − | 0.477516i | ||||
\(562\) | 6.72112 | − | 11.6413i | 0.283513 | − | 0.491060i | ||||
\(563\) | −2.97517 | − | 5.15315i | −0.125388 | − | 0.217179i | 0.796496 | − | 0.604643i | \(-0.206684\pi\) |
−0.921885 | + | 0.387464i | \(0.873351\pi\) | |||||||
\(564\) | −19.0196 | − | 6.63634i | −0.800869 | − | 0.279440i | ||||
\(565\) | 46.8280i | 1.97007i | ||||||||
\(566\) | 6.47874 | − | 11.2215i | 0.272322 | − | 0.471675i | ||||
\(567\) | −22.2873 | + | 8.38313i | −0.935978 | + | 0.352058i | ||||
\(568\) | −1.87136 | + | 3.24128i | −0.0785204 | + | 0.136001i | ||||
\(569\) | 5.25796 | + | 3.03569i | 0.220425 | + | 0.127263i | 0.606147 | − | 0.795353i | \(-0.292714\pi\) |
−0.385722 | + | 0.922615i | \(0.626048\pi\) | |||||||
\(570\) | −5.42239 | − | 28.5198i | −0.227119 | − | 1.19456i | ||||
\(571\) | −14.4318 | + | 24.9966i | −0.603951 | + | 1.04607i | 0.388265 | + | 0.921548i | \(0.373075\pi\) |
−0.992216 | + | 0.124527i | \(0.960259\pi\) | |||||||
\(572\) | −11.7098 | + | 6.21949i | −0.489610 | + | 0.260050i | ||||
\(573\) | 25.9787 | − | 4.93927i | 1.08528 | − | 0.206341i | ||||
\(574\) | 3.13362 | − | 7.58511i | 0.130795 | − | 0.316596i | ||||
\(575\) | 20.2201 | − | 11.6741i | 0.843237 | − | 0.486843i | ||||
\(576\) | 2.79068 | − | 1.10097i | 0.116278 | − | 0.0458737i | ||||
\(577\) | 19.0046 | + | 10.9723i | 0.791170 | + | 0.456782i | 0.840374 | − | 0.542007i | \(-0.182335\pi\) |
−0.0492043 | + | 0.998789i | \(0.515669\pi\) | |||||||
\(578\) | −9.96222 | + | 5.75169i | −0.414374 | + | 0.239239i | ||||
\(579\) | 5.40621 | + | 28.4346i | 0.224674 | + | 1.18170i | ||||
\(580\) | 15.6091i | 0.648132i | ||||||||
\(581\) | 31.8935 | + | 13.1761i | 1.32317 | + | 0.546636i | ||||
\(582\) | −3.14790 | + | 2.71384i | −0.130484 | + | 0.112492i | ||||
\(583\) | 3.85409 | − | 6.67548i | 0.159620 | − | 0.276470i | ||||
\(584\) | −0.273908 | + | 0.474423i | −0.0113344 | + | 0.0196318i | ||||
\(585\) | −32.7793 | − | 27.9918i | −1.35526 | − | 1.15732i | ||||
\(586\) | 22.4489 | − | 12.9609i | 0.927354 | − | 0.535408i | ||||
\(587\) | 14.7245 | + | 25.5036i | 0.607746 | + | 1.05265i | 0.991611 | + | 0.129258i | \(0.0412595\pi\) |
−0.383865 | + | 0.923389i | \(0.625407\pi\) | |||||||
\(588\) | −12.0929 | − | 0.872910i | −0.498702 | − | 0.0359982i | ||||
\(589\) | −18.0212 | + | 31.2136i | −0.742550 | + | 1.28613i | ||||
\(590\) | 33.5395 | − | 19.3641i | 1.38080 | − | 0.797205i | ||||
\(591\) | 2.37626 | + | 2.75633i | 0.0977464 | + | 0.113380i | ||||
\(592\) | −3.44688 | − | 5.97017i | −0.141666 | − | 0.245373i | ||||
\(593\) | −14.9324 | − | 25.8636i | −0.613199 | − | 1.06209i | −0.990698 | − | 0.136082i | \(-0.956549\pi\) |
0.377499 | − | 0.926010i | \(-0.376784\pi\) | |||||||
\(594\) | −19.0929 | + | 0.765210i | −0.783392 | + | 0.0313969i | ||||
\(595\) | 19.5969 | − | 15.0661i | 0.803394 | − | 0.617651i | ||||
\(596\) | 3.50132 | − | 2.02149i | 0.143420 | − | 0.0828033i | ||||
\(597\) | 17.1284 | + | 19.8680i | 0.701020 | + | 0.813142i | ||||
\(598\) | 3.62925 | + | 6.83299i | 0.148411 | + | 0.279422i | ||||
\(599\) | −10.6949 | − | 6.17470i | −0.436981 | − | 0.252291i | 0.265335 | − | 0.964156i | \(-0.414517\pi\) |
−0.702316 | + | 0.711865i | \(0.747851\pi\) | |||||||
\(600\) | −6.20859 | + | 17.7937i | −0.253464 | + | 0.726423i | ||||
\(601\) | −37.8812 | + | 21.8707i | −1.54521 | + | 0.892126i | −0.546710 | + | 0.837322i | \(0.684120\pi\) |
−0.998497 | + | 0.0548042i | \(0.982547\pi\) | |||||||
\(602\) | 14.2103 | − | 1.88423i | 0.579168 | − | 0.0767956i | ||||
\(603\) | −29.8848 | + | 11.7901i | −1.21700 | + | 0.480128i | ||||
\(604\) | 9.55209 | 0.388669 | ||||||||
\(605\) | −5.02744 | − | 8.70777i | −0.204394 | − | 0.354021i | ||||
\(606\) | 4.29965 | − | 12.3227i | 0.174661 | − | 0.500575i | ||||
\(607\) | − | 31.2784i | − | 1.26955i | −0.772696 | − | 0.634776i | \(-0.781092\pi\) | ||
0.772696 | − | 0.634776i | \(-0.218908\pi\) | |||||||
\(608\) | −2.10297 | − | 3.64245i | −0.0852867 | − | 0.147721i | ||||
\(609\) | −5.64144 | − | 17.0400i | −0.228603 | − | 0.690495i | ||||
\(610\) | 1.10296 | 0.0446575 | ||||||||
\(611\) | 19.6700 | + | 37.0337i | 0.795761 | + | 1.49822i | ||||
\(612\) | 1.03596 | − | 6.95675i | 0.0418763 | − | 0.281210i | ||||
\(613\) | 1.46575 | 0.0592013 | 0.0296006 | − | 0.999562i | \(-0.490576\pi\) | ||||
0.0296006 | + | 0.999562i | \(0.490576\pi\) | |||||||
\(614\) | 10.0848 | − | 17.4673i | 0.406988 | − | 0.704925i | ||||
\(615\) | 20.2152 | + | 7.05351i | 0.815154 | + | 0.284425i | ||||
\(616\) | −8.99228 | − | 3.71496i | −0.362309 | − | 0.149680i | ||||
\(617\) | 8.81211 | + | 5.08767i | 0.354762 | + | 0.204822i | 0.666781 | − | 0.745254i | \(-0.267672\pi\) |
−0.312019 | + | 0.950076i | \(0.601005\pi\) | |||||||
\(618\) | −2.91518 | − | 15.3328i | −0.117266 | − | 0.616774i | ||||
\(619\) | −21.4340 | − | 12.3749i | −0.861507 | − | 0.497391i | 0.00300980 | − | 0.999995i | \(-0.499042\pi\) |
−0.864517 | + | 0.502604i | \(0.832375\pi\) | |||||||
\(620\) | 29.5743 | − | 17.0747i | 1.18773 | − | 0.685737i | ||||
\(621\) | 0.446522 | + | 11.1413i | 0.0179183 | + | 0.447083i | ||||
\(622\) | 20.8342 | − | 12.0287i | 0.835377 | − | 0.482305i | ||||
\(623\) | −4.02499 | + | 3.09442i | −0.161258 | + | 0.123975i | ||||
\(624\) | −5.81997 | − | 2.26450i | −0.232985 | − | 0.0906525i | ||||
\(625\) | −19.4920 | − | 33.7612i | −0.779680 | − | 1.35045i | ||||
\(626\) | 7.91750 | 0.316447 | ||||||||
\(627\) | 5.00377 | + | 26.3179i | 0.199831 | + | 1.05104i | ||||
\(628\) | 19.7067i | 0.786383i | ||||||||
\(629\) | −16.1623 | −0.644434 | ||||||||
\(630\) | 0.506095 | − | 31.6263i | 0.0201633 | − | 1.26002i | ||||
\(631\) | −1.30186 | + | 2.25489i | −0.0518264 | + | 0.0897659i | −0.890775 | − | 0.454445i | \(-0.849838\pi\) |
0.838948 | + | 0.544211i | \(0.183171\pi\) | |||||||
\(632\) | 2.70844 | − | 1.56372i | 0.107736 | − | 0.0622013i | ||||
\(633\) | 20.9245 | − | 18.0393i | 0.831674 | − | 0.716996i | ||||
\(634\) | −27.6309 | −1.09736 | ||||||||
\(635\) | −2.89620 | + | 5.01636i | −0.114932 | + | 0.199068i | ||||
\(636\) | 3.56667 | − | 0.678122i | 0.141427 | − | 0.0268893i | ||||
\(637\) | 17.2388 | + | 18.4343i | 0.683028 | + | 0.730392i | ||||
\(638\) | − | 14.4040i | − | 0.570260i | ||||||
\(639\) | 11.1057 | + | 1.65380i | 0.439334 | + | 0.0654233i | ||||
\(640\) | 3.98504i | 0.157523i | ||||||||
\(641\) | 6.22771 | − | 3.59557i | 0.245980 | − | 0.142017i | −0.371942 | − | 0.928256i | \(-0.621308\pi\) |
0.617922 | + | 0.786239i | \(0.287975\pi\) | |||||||
\(642\) | 17.3851 | − | 14.9879i | 0.686136 | − | 0.591526i | ||||
\(643\) | 5.48347 | + | 3.16588i | 0.216247 | + | 0.124850i | 0.604211 | − | 0.796824i | \(-0.293488\pi\) |
−0.387964 | + | 0.921674i | \(0.626822\pi\) | |||||||
\(644\) | −2.16778 | + | 5.24725i | −0.0854226 | + | 0.206771i | ||||
\(645\) | 6.98500 | + | 36.7385i | 0.275034 | + | 1.44658i | ||||
\(646\) | −9.86077 | −0.387967 | ||||||||
\(647\) | 8.50212 | 0.334253 | 0.167126 | − | 0.985935i | \(-0.446551\pi\) | ||||
0.167126 | + | 0.985935i | \(0.446551\pi\) | |||||||
\(648\) | −6.14489 | − | 6.57574i | −0.241394 | − | 0.258319i | ||||
\(649\) | −30.9501 | + | 17.8691i | −1.21490 | + | 0.701423i | ||||
\(650\) | 34.6467 | − | 18.4021i | 1.35895 | − | 0.721790i | ||||
\(651\) | −26.1142 | + | 29.3287i | −1.02350 | + | 1.14948i | ||||
\(652\) | −0.179871 | − | 0.311545i | −0.00704428 | − | 0.0122010i | ||||
\(653\) | −23.8853 | − | 13.7902i | −0.934704 | − | 0.539651i | −0.0464076 | − | 0.998923i | \(-0.514777\pi\) |
−0.888296 | + | 0.459271i | \(0.848111\pi\) | |||||||
\(654\) | 9.57439 | + | 11.1057i | 0.374388 | + | 0.434269i | ||||
\(655\) | 35.1852 | − | 60.9426i | 1.37480 | − | 2.38122i | ||||
\(656\) | 3.10192 | 0.121110 | ||||||||
\(657\) | 1.62553 | + | 0.242065i | 0.0634178 | + | 0.00944385i | ||||
\(658\) | −11.7490 | + | 28.4393i | −0.458025 | + | 1.10868i | ||||
\(659\) | 21.6640 | + | 12.5077i | 0.843908 | + | 0.487230i | 0.858591 | − | 0.512662i | \(-0.171341\pi\) |
−0.0146829 | + | 0.999892i | \(0.504674\pi\) | |||||||
\(660\) | 8.36205 | − | 23.9654i | 0.325493 | − | 0.932853i | ||||
\(661\) | − | 15.0253i | − | 0.584418i | −0.956354 | − | 0.292209i | \(-0.905610\pi\) | ||
0.956354 | − | 0.292209i | \(-0.0943903\pi\) | |||||||
\(662\) | −11.5403 | − | 6.66281i | −0.448527 | − | 0.258957i | ||||
\(663\) | −11.4202 | + | 9.16223i | −0.443525 | + | 0.355832i | ||||
\(664\) | 13.0428i | 0.506159i | ||||||||
\(665\) | −43.9603 | + | 5.82898i | −1.70471 | + | 0.226038i | ||||
\(666\) | −12.8659 | + | 16.1921i | −0.498544 | + | 0.627431i | ||||
\(667\) | −8.40515 | −0.325449 | ||||||||
\(668\) | −1.89219 | + | 3.27738i | −0.0732112 | + | 0.126805i | ||||
\(669\) | −20.8333 | − | 24.1655i | −0.805464 | − | 0.934291i | ||||
\(670\) | − | 42.6751i | − | 1.64868i | ||||||
\(671\) | −1.01781 | −0.0392920 | ||||||||
\(672\) | −1.44027 | − | 4.35036i | −0.0555598 | − | 0.167819i | ||||
\(673\) | −2.09904 | − | 3.63565i | −0.0809121 | − | 0.140144i | 0.822730 | − | 0.568433i | \(-0.192450\pi\) |
−0.903642 | + | 0.428289i | \(0.859117\pi\) | |||||||
\(674\) | −5.46051 | − | 3.15263i | −0.210331 | − | 0.121435i | ||||
\(675\) | 56.4918 | − | 2.26409i | 2.17437 | − | 0.0871448i | ||||
\(676\) | 5.68838 | + | 11.6894i | 0.218784 | + | 0.449593i | ||||
\(677\) | −18.0619 | − | 31.2842i | −0.694177 | − | 1.20235i | −0.970457 | − | 0.241272i | \(-0.922435\pi\) |
0.276281 | − | 0.961077i | \(-0.410898\pi\) | |||||||
\(678\) | 15.4154 | − | 13.2898i | 0.592025 | − | 0.510392i | ||||
\(679\) | 3.86953 | + | 5.03320i | 0.148499 | + | 0.193157i | ||||
\(680\) | 8.09117 | + | 4.67144i | 0.310282 | + | 0.179142i | ||||
\(681\) | 12.8410 | − | 11.0704i | 0.492069 | − | 0.424219i | ||||
\(682\) | −27.2910 | + | 15.7565i | −1.04503 | + | 0.603347i | ||||
\(683\) | 8.79767 | − | 5.07934i | 0.336634 | − | 0.194355i | −0.322149 | − | 0.946689i | \(-0.604405\pi\) |
0.658782 | + | 0.752334i | \(0.271072\pi\) | |||||||
\(684\) | −7.84960 | + | 9.87893i | −0.300137 | + | 0.377730i | ||||
\(685\) | −43.3359 | − | 25.0200i | −1.65578 | − | 0.955966i | ||||
\(686\) | −2.36627 | + | 18.3685i | −0.0903444 | + | 0.701312i | ||||
\(687\) | −4.85858 | − | 5.63567i | −0.185366 | − | 0.215014i | ||||
\(688\) | 2.70900 | + | 4.69212i | 0.103279 | + | 0.178885i | ||||
\(689\) | −6.40742 | − | 4.00779i | −0.244103 | − | 0.152684i | ||||
\(690\) | −13.9845 | − | 4.87950i | −0.532381 | − | 0.185759i | ||||
\(691\) | −6.40627 | − | 3.69866i | −0.243706 | − | 0.140704i | 0.373173 | − | 0.927762i | \(-0.378270\pi\) |
−0.616879 | + | 0.787058i | \(0.711603\pi\) | |||||||
\(692\) | 10.7432 | + | 18.6077i | 0.408394 | + | 0.707360i | ||||
\(693\) | −0.467023 | + | 29.1846i | −0.0177407 | + | 1.10863i | ||||
\(694\) | 14.8278 | 0.562857 | ||||||||
\(695\) | 61.5417i | 2.33441i | ||||||||
\(696\) | 5.13839 | − | 4.42987i | 0.194770 | − | 0.167914i | ||||
\(697\) | 3.63621 | − | 6.29810i | 0.137731 | − | 0.238557i | ||||
\(698\) | 2.96791 | 0.112337 | ||||||||
\(699\) | −11.3457 | − | 13.1604i | −0.429136 | − | 0.497772i | ||||
\(700\) | 26.6062 | + | 10.9917i | 1.00562 | + | 0.415449i | ||||
\(701\) | − | 16.0990i | − | 0.608049i | −0.952664 | − | 0.304025i | \(-0.901669\pi\) | ||
0.952664 | − | 0.304025i | \(-0.0983306\pi\) | |||||||
\(702\) | 0.0881149 | + | 18.7348i | 0.00332568 | + | 0.707099i | ||||
\(703\) | 25.1102 | + | 14.4974i | 0.947048 | + | 0.546779i | ||||
\(704\) | − | 3.67738i | − | 0.138597i | ||||||
\(705\) | −75.7939 | − | 26.4461i | −2.85456 | − | 0.996018i | ||||
\(706\) | 7.45381 | + | 4.30346i | 0.280528 | + | 0.161963i | ||||
\(707\) | −18.4257 | − | 7.61214i | −0.692968 | − | 0.286284i | ||||
\(708\) | −15.8930 | − | 5.54541i | −0.597296 | − | 0.208409i | ||||
\(709\) | −47.7441 | −1.79307 | −0.896534 | − | 0.442976i | \(-0.853923\pi\) | ||||
−0.896534 | + | 0.442976i | \(0.853923\pi\) | |||||||
\(710\) | −7.45744 | + | 12.9167i | −0.279873 | + | 0.484753i | ||||
\(711\) | −7.34573 | − | 5.83677i | −0.275486 | − | 0.218896i | ||||
\(712\) | −1.66184 | − | 0.959464i | −0.0622801 | − | 0.0359574i | ||||
\(713\) | 9.19435 | + | 15.9251i | 0.344331 | + | 0.596399i | ||||
\(714\) | −10.5213 | − | 2.17536i | −0.393748 | − | 0.0814110i | ||||
\(715\) | −46.6640 | + | 24.7849i | −1.74513 | + | 0.926904i | ||||
\(716\) | −13.3321 | + | 7.69731i | −0.498245 | + | 0.287662i | ||||
\(717\) | 20.1517 | − | 3.83140i | 0.752579 | − | 0.143086i | ||||
\(718\) | 7.96658 | 0.297310 | ||||||||
\(719\) | −10.5889 | −0.394899 | −0.197449 | − | 0.980313i | \(-0.563266\pi\) | ||||
−0.197449 | + | 0.980313i | \(0.563266\pi\) | |||||||
\(720\) | 11.1210 | − | 4.38740i | 0.414454 | − | 0.163509i | ||||
\(721\) | −23.6339 | + | 3.13377i | −0.880171 | + | 0.116708i | ||||
\(722\) | −1.13456 | − | 0.655036i | −0.0422238 | − | 0.0243779i | ||||
\(723\) | 1.06919 | + | 1.24020i | 0.0397636 | + | 0.0461235i | ||||
\(724\) | 20.7004 | − | 11.9514i | 0.769324 | − | 0.444169i | ||||
\(725\) | 42.6183i | 1.58280i | ||||||||
\(726\) | −1.43974 | + | 4.12626i | −0.0534338 | + | 0.153140i | ||||
\(727\) | − | 6.29062i | − | 0.233306i | −0.993173 | − | 0.116653i | \(-0.962783\pi\) | ||
0.993173 | − | 0.116653i | \(-0.0372166\pi\) | |||||||
\(728\) | −3.95175 | + | 8.68238i | −0.146462 | + | 0.321790i | ||||
\(729\) | −11.5854 | + | 24.3881i | −0.429090 | + | 0.903262i | ||||
\(730\) | −1.09154 | + | 1.89060i | −0.0403996 | + | 0.0699742i | ||||
\(731\) | 12.7024 | 0.469815 | ||||||||
\(732\) | −0.313020 | − | 0.363085i | −0.0115696 | − | 0.0134200i | ||||
\(733\) | −24.4353 | + | 14.1077i | −0.902538 | + | 0.521080i | −0.878023 | − | 0.478619i | \(-0.841138\pi\) |
−0.0245151 | + | 0.999699i | \(0.507804\pi\) | |||||||
\(734\) | −11.3921 | + | 19.7318i | −0.420492 | + | 0.728313i | ||||
\(735\) | −48.1907 | − | 3.47859i | −1.77754 | − | 0.128310i | ||||
\(736\) | −2.14586 | −0.0790974 | ||||||||
\(737\) | 39.3804i | 1.45060i | ||||||||
\(738\) | −3.41512 | − | 8.65646i | −0.125712 | − | 0.318649i | ||||
\(739\) | 25.8468 | 0.950791 | 0.475396 | − | 0.879772i | \(-0.342305\pi\) | ||||
0.475396 | + | 0.879772i | \(0.342305\pi\) | |||||||
\(740\) | −13.7360 | − | 23.7914i | −0.504944 | − | 0.874589i | ||||
\(741\) | 25.9611 | − | 3.99089i | 0.953706 | − | 0.146609i | ||||
\(742\) | −0.728969 | − | 5.49765i | −0.0267613 | − | 0.201825i | ||||
\(743\) | 6.50706 | − | 3.75685i | 0.238721 | − | 0.137826i | −0.375868 | − | 0.926673i | \(-0.622655\pi\) |
0.614589 | + | 0.788848i | \(0.289322\pi\) | |||||||
\(744\) | −14.0140 | − | 4.88980i | −0.513780 | − | 0.179269i | ||||
\(745\) | 13.9529 | − | 8.05572i | 0.511195 | − | 0.295139i | ||||
\(746\) | −18.1228 | − | 10.4632i | −0.663524 | − | 0.383086i | ||||
\(747\) | 36.3983 | − | 14.3597i | 1.33174 | − | 0.525395i | ||||
\(748\) | −7.46650 | − | 4.31079i | −0.273002 | − | 0.157618i | ||||
\(749\) | −21.3706 | − | 27.7972i | −0.780863 | − | 1.01569i | ||||
\(750\) | −13.3719 | + | 38.3236i | −0.488273 | + | 1.39938i | ||||
\(751\) | 0.712950 | − | 1.23487i | 0.0260159 | − | 0.0450609i | −0.852724 | − | 0.522361i | \(-0.825051\pi\) |
0.878740 | + | 0.477300i | \(0.158385\pi\) | |||||||
\(752\) | −11.6302 | −0.424110 | ||||||||
\(753\) | 25.9945 | + | 9.07003i | 0.947292 | + | 0.330530i | ||||
\(754\) | −14.1138 | − | 0.499181i | −0.513995 | − | 0.0181791i | ||||
\(755\) | 38.0655 | 1.38534 | ||||||||
\(756\) | −10.5547 | + | 8.80894i | −0.383872 | + | 0.320378i | ||||
\(757\) | −11.4225 | − | 19.7843i | −0.415157 | − | 0.719074i | 0.580288 | − | 0.814412i | \(-0.302940\pi\) |
−0.995445 | + | 0.0953379i | \(0.969607\pi\) | |||||||
\(758\) | − | 0.151752i | − | 0.00551188i | ||||||
\(759\) | 12.9049 | + | 4.50278i | 0.468417 | + | 0.163441i | ||||
\(760\) | −8.38043 | − | 14.5153i | −0.303990 | − | 0.526526i | ||||
\(761\) | −25.9165 | −0.939474 | −0.469737 | − | 0.882806i | \(-0.655651\pi\) | ||||
−0.469737 | + | 0.882806i | \(0.655651\pi\) | |||||||
\(762\) | 2.47329 | − | 0.470240i | 0.0895977 | − | 0.0170350i | ||||
\(763\) | 17.7571 | − | 13.6517i | 0.642849 | − | 0.494224i | ||||
\(764\) | 13.2220 | − | 7.63375i | 0.478357 | − | 0.276179i | ||||
\(765\) | 4.12836 | − | 27.7229i | 0.149261 | − | 1.00233i | ||||
\(766\) | 9.82943 | + | 5.67502i | 0.355152 | + | 0.205047i | ||||
\(767\) | 16.4365 | + | 30.9459i | 0.593487 | + | 1.11739i | ||||
\(768\) | 1.31184 | − | 1.13096i | 0.0473371 | − | 0.0408099i | ||||
\(769\) | 34.4344 | − | 19.8807i | 1.24174 | − | 0.716918i | 0.272290 | − | 0.962215i | \(-0.412219\pi\) |
0.969448 | + | 0.245298i | \(0.0788857\pi\) | |||||||
\(770\) | −35.8346 | − | 14.8043i | −1.29139 | − | 0.533509i | ||||
\(771\) | −33.0296 | − | 11.5247i | −1.18953 | − | 0.415054i | ||||
\(772\) | 8.35541 | + | 14.4720i | 0.300718 | + | 0.520859i | ||||
\(773\) | −16.8043 | − | 29.1059i | −0.604409 | − | 1.04687i | −0.992145 | − | 0.125097i | \(-0.960076\pi\) |
0.387735 | − | 0.921771i | \(-0.373257\pi\) | |||||||
\(774\) | 10.1117 | − | 12.7258i | 0.363456 | − | 0.457419i | ||||
\(775\) | 80.7482 | − | 46.6200i | 2.90056 | − | 1.67464i | ||||
\(776\) | −1.19980 | + | 2.07811i | −0.0430702 | + | 0.0745998i | ||||
\(777\) | 23.5938 | + | 21.0079i | 0.846425 | + | 0.753655i | ||||
\(778\) | 10.6702 | + | 18.4814i | 0.382546 | + | 0.662590i | ||||
\(779\) | −11.2986 | + | 6.52325i | −0.404814 | + | 0.233720i | ||||
\(780\) | −23.1928 | − | 9.02413i | −0.830437 | − | 0.323116i | ||||
\(781\) | 6.88169 | − | 11.9194i | 0.246246 | − | 0.426511i | ||||
\(782\) | −2.51547 | + | 4.35692i | −0.0899529 | + | 0.155803i | ||||
\(783\) | −18.0195 | − | 9.46243i | −0.643965 | − | 0.338160i | ||||
\(784\) | −6.75811 | + | 1.82428i | −0.241361 | + | 0.0651527i | ||||
\(785\) | 78.5320i | 2.80293i | ||||||||
\(786\) | −30.0474 | + | 5.71284i | −1.07175 | + | 0.203770i | ||||
\(787\) | −7.60462 | + | 4.39053i | −0.271075 | + | 0.156505i | −0.629376 | − | 0.777101i | \(-0.716690\pi\) |
0.358301 | + | 0.933606i | \(0.383356\pi\) | |||||||
\(788\) | 1.81961 | + | 1.05055i | 0.0648210 | + | 0.0374244i | ||||
\(789\) | −50.8577 | + | 9.66946i | −1.81058 | + | 0.344242i | ||||
\(790\) | 10.7932 | − | 6.23148i | 0.384006 | − | 0.221706i | ||||
\(791\) | −18.9493 | − | 24.6478i | −0.673759 | − | 0.876376i | ||||
\(792\) | −10.2624 | + | 4.04868i | −0.364658 | + | 0.143864i | ||||
\(793\) | −0.0352728 | + | 0.997301i | −0.00125257 | + | 0.0354152i | ||||
\(794\) | −8.17044 | + | 14.1516i | −0.289958 | + | 0.502222i | ||||
\(795\) | 14.2133 | − | 2.70234i | 0.504094 | − | 0.0958423i | ||||
\(796\) | 13.1160 | + | 7.57254i | 0.464885 | + | 0.268401i | ||||
\(797\) | 20.1467 | − | 34.8951i | 0.713633 | − | 1.23605i | −0.249852 | − | 0.968284i | \(-0.580382\pi\) |
0.963484 | − | 0.267764i | \(-0.0862848\pi\) | |||||||
\(798\) | 14.3948 | + | 12.8171i | 0.509570 | + | 0.453721i | ||||
\(799\) | −13.6334 | + | 23.6138i | −0.482316 | + | 0.835396i | ||||
\(800\) | 10.8806i | 0.384686i | ||||||||
\(801\) | −0.847920 | + | 5.69400i | −0.0299598 | + | 0.201188i | ||||
\(802\) | −13.9903 | − | 24.2320i | −0.494016 | − | 0.855660i | ||||
\(803\) | 1.00727 | − | 1.74464i | 0.0355457 | − | 0.0615669i | ||||
\(804\) | −14.0483 | + | 12.1112i | −0.495445 | + | 0.427129i | ||||
\(805\) | −8.63871 | + | 20.9105i | −0.304474 | + | 0.736999i | ||||
\(806\) | 14.4933 | + | 27.2873i | 0.510503 | + | 0.961153i | ||||
\(807\) | 16.7989 | − | 14.4826i | 0.591350 | − | 0.509810i | ||||
\(808\) | − | 7.53515i | − | 0.265086i | ||||||
\(809\) | − | 39.3979i | − | 1.38516i | −0.721343 | − | 0.692578i | \(-0.756475\pi\) | ||
0.721343 | − | 0.692578i | \(-0.243525\pi\) | |||||||
\(810\) | −24.4876 | − | 26.2046i | −0.860408 | − | 0.920736i | ||||
\(811\) | − | 37.3886i | − | 1.31289i | −0.754374 | − | 0.656445i | \(-0.772059\pi\) | ||
0.754374 | − | 0.656445i | \(-0.227941\pi\) | |||||||
\(812\) | −6.31633 | − | 8.21581i | −0.221660 | − | 0.288319i | ||||
\(813\) | 18.0225 | − | 51.6522i | 0.632078 | − | 1.81152i | ||||
\(814\) | 12.6755 | + | 21.9546i | 0.444276 | + | 0.769509i | ||||
\(815\) | −0.716792 | − | 1.24152i | −0.0251081 | − | 0.0434886i | ||||
\(816\) | −0.758478 | − | 3.98931i | −0.0265520 | − | 0.139654i | ||||
\(817\) | −19.7348 | − | 11.3939i | −0.690432 | − | 0.398621i | ||||
\(818\) | 29.9985 | 1.04887 | ||||||||
\(819\) | 28.5804 | + | 1.46903i | 0.998682 | + | 0.0513320i | ||||
\(820\) | 12.3613 | 0.431675 | ||||||||
\(821\) | 14.4146 | + | 8.32230i | 0.503074 | + | 0.290450i | 0.729982 | − | 0.683466i | \(-0.239528\pi\) |
−0.226908 | + | 0.973916i | \(0.572862\pi\) | |||||||
\(822\) | 4.06237 | + | 21.3665i | 0.141691 | + | 0.745244i | ||||
\(823\) | −8.26676 | − | 14.3184i | −0.288161 | − | 0.499110i | 0.685210 | − | 0.728346i | \(-0.259711\pi\) |
−0.973371 | + | 0.229236i | \(0.926377\pi\) | |||||||
\(824\) | −4.50547 | − | 7.80371i | −0.156956 | − | 0.271855i | ||||
\(825\) | 22.8314 | − | 65.4341i | 0.794886 | − | 2.27812i | ||||
\(826\) | −9.81766 | + | 23.7643i | −0.341600 | + | 0.826864i | ||||
\(827\) | 14.7699i | 0.513598i | 0.966465 | + | 0.256799i | \(0.0826679\pi\) | ||||
−0.966465 | + | 0.256799i | \(0.917332\pi\) | |||||||
\(828\) | 2.36252 | + | 5.98839i | 0.0821032 | + | 0.208111i | ||||
\(829\) | − | 13.7457i | − | 0.477406i | −0.971093 | − | 0.238703i | \(-0.923278\pi\) | ||
0.971093 | − | 0.238703i | \(-0.0767223\pi\) | |||||||
\(830\) | 51.9762i | 1.80412i | ||||||||
\(831\) | 21.3669 | − | 18.4207i | 0.741211 | − | 0.639007i | ||||
\(832\) | −3.60330 | − | 0.127442i | −0.124922 | − | 0.00441827i | ||||
\(833\) | −4.21816 | + | 15.8601i | −0.146151 | + | 0.549518i | ||||
\(834\) | 20.2590 | − | 17.4656i | 0.701513 | − | 0.604783i | ||||
\(835\) | −7.54047 | + | 13.0605i | −0.260949 | + | 0.451977i | ||||
\(836\) | 7.73343 | + | 13.3947i | 0.267466 | + | 0.463265i | ||||
\(837\) | 1.78317 | + | 44.4922i | 0.0616352 | + | 1.53787i | ||||
\(838\) | 24.2422i | 0.837433i | ||||||||
\(839\) | 8.42008 | − | 14.5840i | 0.290693 | − | 0.503496i | −0.683280 | − | 0.730156i | \(-0.739447\pi\) |
0.973974 | + | 0.226660i | \(0.0727807\pi\) | |||||||
\(840\) | −5.73956 | − | 17.3364i | −0.198034 | − | 0.598161i | ||||
\(841\) | −6.82888 | + | 11.8280i | −0.235479 | + | 0.407861i | ||||
\(842\) | −5.44255 | − | 3.14226i | −0.187563 | − | 0.108289i | ||||
\(843\) | −22.8729 | + | 4.34877i | −0.787785 | + | 0.149780i | ||||
\(844\) | 7.97522 | − | 13.8135i | 0.274518 | − | 0.475480i | ||||
\(845\) | 22.6684 | + | 46.5828i | 0.779818 | + | 1.60250i | ||||
\(846\) | 12.8045 | + | 32.4561i | 0.440227 | + | 1.11587i | ||||
\(847\) | 6.16985 | + | 2.54893i | 0.211998 | + | 0.0875823i | ||||
\(848\) | 1.81528 | − | 1.04805i | 0.0623369 | − | 0.0359902i | ||||
\(849\) | −22.0481 | + | 4.19195i | −0.756687 | + | 0.143867i | ||||
\(850\) | 22.0918 | + | 12.7547i | 0.757741 | + | 0.437482i | ||||
\(851\) | 12.8111 | − | 7.39651i | 0.439160 | − | 0.253549i | ||||
\(852\) | 6.36848 | − | 1.21082i | 0.218181 | − | 0.0414822i | ||||
\(853\) | − | 1.83840i | − | 0.0629455i | −0.999505 | − | 0.0314728i | \(-0.989980\pi\) | ||
0.999505 | − | 0.0314728i | \(-0.0100197\pi\) | |||||||
\(854\) | −0.580540 | + | 0.446320i | −0.0198657 | + | 0.0152728i | ||||
\(855\) | −31.2810 | + | 39.3680i | −1.06979 | + | 1.34636i | ||||
\(856\) | 6.62621 | − | 11.4769i | 0.226479 | − | 0.392273i | ||||
\(857\) | −13.7264 | + | 23.7748i | −0.468884 | + | 0.812132i | −0.999367 | − | 0.0355640i | \(-0.988677\pi\) |
0.530483 | + | 0.847696i | \(0.322011\pi\) | |||||||
\(858\) | 21.4023 | + | 8.32743i | 0.730661 | + | 0.284294i | ||||
\(859\) | 4.55171 | − | 2.62793i | 0.155302 | − | 0.0896638i | −0.420335 | − | 0.907369i | \(-0.638087\pi\) |
0.575637 | + | 0.817705i | \(0.304754\pi\) | |||||||
\(860\) | 10.7955 | + | 18.6983i | 0.368122 | + | 0.637607i | ||||
\(861\) | −13.4945 | + | 4.46762i | −0.459890 | + | 0.152256i | ||||
\(862\) | −7.26788 | + | 12.5883i | −0.247545 | + | 0.428760i | ||||
\(863\) | 36.9075 | − | 21.3086i | 1.25635 | − | 0.725352i | 0.283984 | − | 0.958829i | \(-0.408344\pi\) |
0.972362 | + | 0.233477i | \(0.0750103\pi\) | |||||||
\(864\) | −4.60043 | − | 2.41578i | −0.156510 | − | 0.0821867i | ||||
\(865\) | 42.8120 | + | 74.1526i | 1.45565 | + | 2.52126i | ||||
\(866\) | 8.33288 | + | 14.4330i | 0.283163 | + | 0.490452i | ||||
\(867\) | 18.8122 | + | 6.56397i | 0.638895 | + | 0.222924i | ||||
\(868\) | −8.65695 | + | 20.9547i | −0.293836 | + | 0.711249i | ||||
\(869\) | −9.95996 | + | 5.75039i | −0.337869 | + | 0.195068i | ||||
\(870\) | 20.4767 | − | 17.6532i | 0.694225 | − | 0.598500i | ||||
\(871\) | 38.5870 | + | 1.36476i | 1.30747 | + | 0.0462430i | ||||
\(872\) | 7.33155 | + | 4.23287i | 0.248278 | + | 0.143343i | ||||
\(873\) | 7.12027 | + | 1.06031i | 0.240985 | + | 0.0358862i | ||||
\(874\) | 7.81618 | − | 4.51267i | 0.264386 | − | 0.152643i | ||||
\(875\) | 57.3039 | + | 23.6738i | 1.93722 | + | 0.800320i | ||||
\(876\) | 0.932148 | − | 0.177227i | 0.0314944 | − | 0.00598795i | ||||
\(877\) | 48.3446 | 1.63248 | 0.816240 | − | 0.577713i | \(-0.196055\pi\) | ||||
0.816240 | + | 0.577713i | \(0.196055\pi\) | |||||||
\(878\) | 1.24715 | + | 2.16013i | 0.0420894 | + | 0.0729010i | ||||
\(879\) | −42.3913 | − | 14.7912i | −1.42982 | − | 0.498896i | ||||
\(880\) | − | 14.6545i | − | 0.494004i | ||||||
\(881\) | −18.3105 | − | 31.7147i | −0.616896 | − | 1.06849i | −0.990049 | − | 0.140725i | \(-0.955057\pi\) |
0.373153 | − | 0.927770i | \(-0.378277\pi\) | |||||||
\(882\) | 12.5314 | + | 16.8512i | 0.421955 | + | 0.567410i | ||||
\(883\) | −13.8342 | −0.465558 | −0.232779 | − | 0.972530i | \(-0.574782\pi\) | ||||
−0.232779 | + | 0.972530i | \(0.574782\pi\) | |||||||
\(884\) | −4.48270 | + | 7.16669i | −0.150769 | + | 0.241042i | ||||
\(885\) | −63.3344 | − | 22.0987i | −2.12896 | − | 0.742840i | ||||
\(886\) | 0.288490 | 0.00969202 | ||||||||
\(887\) | −17.6505 | + | 30.5716i | −0.592646 | + | 1.02649i | 0.401229 | + | 0.915978i | \(0.368583\pi\) |
−0.993874 | + | 0.110515i | \(0.964750\pi\) | |||||||
\(888\) | −3.93366 | + | 11.2738i | −0.132005 | + | 0.378323i | ||||
\(889\) | −0.505500 | − | 3.81232i | −0.0169539 | − | 0.127861i | ||||
\(890\) | −6.62251 | − | 3.82351i | −0.221987 | − | 0.128164i | ||||
\(891\) | 22.5971 | + | 24.1815i | 0.757032 | + | 0.810111i | ||||
\(892\) | −15.9530 | − | 9.21049i | −0.534147 | − | 0.308390i | ||||
\(893\) | 42.3625 | − | 24.4580i | 1.41761 | − | 0.818455i | ||||
\(894\) | −6.61172 | − | 2.30697i | −0.221129 | − | 0.0771566i | ||||
\(895\) | −53.1291 | + | 30.6741i | −1.77591 | + | 1.02532i | ||||
\(896\) | −1.61258 | − | 2.09752i | −0.0538724 | − | 0.0700732i | ||||
\(897\) | 4.85929 | − | 12.4888i | 0.162247 | − | 0.416990i | ||||
\(898\) | 2.23455 | + | 3.87035i | 0.0745677 | + | 0.129155i | ||||
\(899\) | −33.5656 | −1.11948 | ||||||||
\(900\) | 30.3642 | − | 11.9792i | 1.01214 | − | 0.399305i | ||||
\(901\) | − | 4.91429i | − | 0.163719i | ||||||
\(902\) | −11.4070 | −0.379810 | ||||||||
\(903\) | −18.5430 | − | 16.5107i | −0.617074 | − | 0.549441i | ||||
\(904\) | 5.87547 | − | 10.1766i | 0.195415 | − | 0.338469i | ||||
\(905\) | 82.4919 | − | 47.6267i | 2.74212 | − | 1.58317i | ||||
\(906\) | −10.8030 | − | 12.5309i | −0.358906 | − | 0.416310i | ||||
\(907\) | −5.89575 | −0.195765 | −0.0978825 | − | 0.995198i | \(-0.531207\pi\) | ||||
−0.0978825 | + | 0.995198i | \(0.531207\pi\) | |||||||
\(908\) | 4.89426 | − | 8.47711i | 0.162422 | − | 0.281323i | ||||
\(909\) | −21.0282 | + | 8.29596i | −0.697460 | + | 0.275160i | ||||
\(910\) | −15.7479 | + | 34.5997i | −0.522037 | + | 1.14697i | ||||
\(911\) | 31.6741i | 1.04941i | 0.851284 | + | 0.524705i | \(0.175824\pi\) | ||||
−0.851284 | + | 0.524705i | \(0.824176\pi\) | |||||||
\(912\) | −2.39996 | + | 6.87822i | −0.0794706 | + | 0.227761i | ||||
\(913\) | − | 47.9634i | − | 1.58736i | ||||||
\(914\) | −27.9580 | + | 16.1415i | −0.924767 | + | 0.533914i | ||||
\(915\) | −1.24740 | − | 1.44691i | −0.0412377 | − | 0.0478334i | ||||
\(916\) | −3.72044 | − | 2.14800i | −0.122927 | − | 0.0709718i | ||||
\(917\) | 6.14120 | + | 46.3150i | 0.202800 | + | 1.52945i | ||||
\(918\) | −10.2978 | + | 6.50876i | −0.339878 | + | 0.214821i | ||||
\(919\) | −1.52527 | −0.0503142 | −0.0251571 | − | 0.999684i | \(-0.508009\pi\) | ||||
−0.0251571 | + | 0.999684i | \(0.508009\pi\) | |||||||
\(920\) | −8.55134 | −0.281929 | ||||||||
\(921\) | −34.3199 | + | 6.52516i | −1.13088 | + | 0.215011i | ||||
\(922\) | −33.5166 | + | 19.3508i | −1.10381 | + | 0.637285i | ||||
\(923\) | −11.4408 | − | 7.15613i | −0.376579 | − | 0.235547i | ||||
\(924\) | 5.29644 | + | 15.9979i | 0.174240 | + | 0.526293i | ||||
\(925\) | −37.5040 | − | 64.9589i | −1.23313 | − | 2.13584i | ||||
\(926\) | −3.08980 | − | 1.78390i | −0.101537 | − | 0.0586226i | ||||
\(927\) | −16.8172 | + | 21.1649i | −0.552351 | + | 0.695148i | ||||
\(928\) | 1.95846 | − | 3.39215i | 0.0642895 | − | 0.111353i | ||||
\(929\) | −4.59732 | −0.150833 | −0.0754166 | − | 0.997152i | \(-0.524029\pi\) | ||||
−0.0754166 | + | 0.997152i | \(0.524029\pi\) | |||||||
\(930\) | −55.8466 | − | 19.4861i | −1.83128 | − | 0.638973i | ||||
\(931\) | 20.7797 | − | 20.8569i | 0.681026 | − | 0.683558i | ||||
\(932\) | −8.68795 | − | 5.01599i | −0.284583 | − | 0.164304i | ||||
\(933\) | −39.3424 | − | 13.7274i | −1.28801 | − | 0.449415i | ||||
\(934\) | − | 36.5921i | − | 1.19733i | ||||||
\(935\) | −29.7543 | − | 17.1787i | −0.973071 | − | 0.561803i | ||||
\(936\) | 3.61146 | + | 10.1959i | 0.118044 | + | 0.333265i | ||||
\(937\) | − | 39.4304i | − | 1.28814i | −0.764969 | − | 0.644068i | \(-0.777246\pi\) | ||
0.764969 | − | 0.644068i | \(-0.222754\pi\) | |||||||
\(938\) | 17.2688 | + | 22.4620i | 0.563846 | + | 0.733409i | ||||
\(939\) | −8.95436 | − | 10.3865i | −0.292214 | − | 0.338952i | ||||
\(940\) | −46.3469 | −1.51167 | ||||||||
\(941\) | −13.7435 | + | 23.8044i | −0.448024 | + | 0.776001i | −0.998257 | − | 0.0590103i | \(-0.981206\pi\) |
0.550233 | + | 0.835011i | \(0.314539\pi\) | |||||||
\(942\) | 25.8521 | − | 22.2874i | 0.842307 | − | 0.726163i | ||||
\(943\) | 6.65628i | 0.216758i | ||||||||
\(944\) | −9.71836 | −0.316306 | ||||||||
\(945\) | −42.0611 | + | 35.1040i | −1.36825 | + | 1.14193i | ||||
\(946\) | −9.96202 | − | 17.2547i | −0.323893 | − | 0.560999i | ||||
\(947\) | 21.6549 | + | 12.5024i | 0.703688 | + | 0.406275i | 0.808720 | − | 0.588194i | \(-0.200161\pi\) |
−0.105031 | + | 0.994469i | \(0.533494\pi\) | |||||||
\(948\) | −5.11448 | − | 1.78455i | −0.166111 | − | 0.0579595i | ||||
\(949\) | −1.67458 | − | 1.04744i | −0.0543592 | − | 0.0340012i | ||||
\(950\) | −22.8815 | − | 39.6320i | −0.742374 | − | 1.28583i | ||||
\(951\) | 31.2494 | + | 36.2475i | 1.01333 | + | 1.17541i | ||||
\(952\) | −6.14911 | + | 0.815350i | −0.199294 | + | 0.0264256i | ||||
\(953\) | 0.606011 | + | 0.349881i | 0.0196306 | + | 0.0113337i | 0.509783 | − | 0.860303i | \(-0.329726\pi\) |
−0.490153 | + | 0.871637i | \(0.663059\pi\) | |||||||
\(954\) | −4.92334 | − | 3.91198i | −0.159399 | − | 0.126655i | ||||
\(955\) | 52.6904 | − | 30.4208i | 1.70502 | − | 0.984395i | ||||
\(956\) | 10.2563 | − | 5.92150i | 0.331714 | − | 0.191515i | ||||
\(957\) | −18.8958 | + | 16.2903i | −0.610815 | + | 0.526591i | ||||
\(958\) | 1.79988 | + | 1.03916i | 0.0581516 | + | 0.0335738i | ||||
\(959\) | 32.9343 | − | 4.36697i | 1.06351 | − | 0.141017i | ||||
\(960\) | 5.22776 | − | 4.50691i | 0.168725 | − | 0.145460i | ||||
\(961\) | 21.2173 | + | 36.7494i | 0.684428 | + | 1.18546i | ||||
\(962\) | 21.9516 | − | 11.6593i | 0.707748 | − | 0.375910i | ||||
\(963\) | −39.3236 | − | 5.85587i | −1.26719 | − | 0.188703i | ||||
\(964\) | 0.818728 | + | 0.472693i | 0.0263695 | + | 0.0152244i | ||||
\(965\) | 33.2967 | + | 57.6716i | 1.07186 | + | 1.85651i | ||||
\(966\) | 9.33525 | − | 3.09062i | 0.300357 | − | 0.0994392i | ||||
\(967\) | −0.670100 | −0.0215490 | −0.0107745 | − | 0.999942i | \(-0.503430\pi\) | ||||
−0.0107745 | + | 0.999942i | \(0.503430\pi\) | |||||||
\(968\) | 2.52315i | 0.0810972i | ||||||||
\(969\) | 11.1521 | + | 12.9358i | 0.358257 | + | 0.415558i | ||||
\(970\) | −4.78125 | + | 8.28136i | −0.153517 | + | 0.265898i | ||||
\(971\) | −16.7957 | −0.539001 | −0.269500 | − | 0.963000i | \(-0.586859\pi\) | ||||
−0.269500 | + | 0.963000i | \(0.586859\pi\) | |||||||
\(972\) | −1.67674 | + | 15.4980i | −0.0537816 | + | 0.497099i | ||||
\(973\) | −24.9033 | − | 32.3924i | −0.798364 | − | 1.03845i | ||||
\(974\) | 21.7401i | 0.696598i | ||||||||
\(975\) | −63.3246 | − | 24.6391i | −2.02801 | − | 0.789081i | ||||
\(976\) | −0.239694 | − | 0.138387i | −0.00767241 | − | 0.00442967i | ||||
\(977\) | 29.8550i | 0.955147i | 0.878592 | + | 0.477574i | \(0.158484\pi\) | ||||
−0.878592 | + | 0.477574i | \(0.841516\pi\) | |||||||
\(978\) | −0.205273 | + | 0.588306i | −0.00656390 | + | 0.0188120i | ||||
\(979\) | 6.11123 | + | 3.52832i | 0.195316 | + | 0.112766i | ||||
\(980\) | −26.9314 | + | 7.26982i | −0.860291 | + | 0.232226i | ||||
\(981\) | 3.74077 | − | 25.1202i | 0.119434 | − | 0.802027i | ||||
\(982\) | −1.65404 | −0.0527826 | ||||||||
\(983\) | 18.1058 | − | 31.3601i | 0.577484 | − | 1.00023i | −0.418283 | − | 0.908317i | \(-0.637368\pi\) |
0.995767 | − | 0.0919149i | \(-0.0292988\pi\) | |||||||
\(984\) | −3.50814 | − | 4.06924i | −0.111835 | − | 0.129723i | ||||
\(985\) | 7.25123 | + | 4.18650i | 0.231044 | + | 0.133393i | ||||
\(986\) | −4.59158 | − | 7.95285i | −0.146226 | − | 0.253270i | ||||
\(987\) | 50.5956 | − | 16.7507i | 1.61047 | − | 0.533181i | ||||
\(988\) | 13.3928 | − | 7.11342i | 0.426083 | − | 0.226308i | ||||
\(989\) | −10.0686 | + | 5.81312i | −0.320163 | + | 0.184846i | ||||
\(990\) | −40.8961 | + | 16.1342i | −1.29976 | + | 0.512778i | ||||
\(991\) | 6.28525 | 0.199658 | 0.0998288 | − | 0.995005i | \(-0.468170\pi\) | ||||
0.0998288 | + | 0.995005i | \(0.468170\pi\) | |||||||
\(992\) | −8.56940 | −0.272079 | ||||||||
\(993\) | 4.31104 | + | 22.6745i | 0.136807 | + | 0.719552i | ||||
\(994\) | −1.30161 | − | 9.81637i | −0.0412847 | − | 0.311356i | ||||
\(995\) | 52.2679 | + | 30.1769i | 1.65700 | + | 0.956672i | ||||
\(996\) | 17.1101 | − | 14.7509i | 0.542156 | − | 0.467399i | ||||
\(997\) | −20.4662 | + | 11.8161i | −0.648170 | + | 0.374221i | −0.787755 | − | 0.615989i | \(-0.788756\pi\) |
0.139585 | + | 0.990210i | \(0.455423\pi\) | |||||||
\(998\) | − | 40.3152i | − | 1.27616i | ||||||
\(999\) | 35.7923 | − | 1.43449i | 1.13242 | − | 0.0453853i |
(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 | 546.2.u.a.185.11 | ✓ | 76 | |
3.2 | odd | 2 | inner | 546.2.u.a.185.28 | yes | 76 | |
7.5 | odd | 6 | 546.2.bb.a.341.36 | yes | 76 | ||
13.9 | even | 3 | 546.2.bb.a.269.34 | yes | 76 | ||
21.5 | even | 6 | 546.2.bb.a.341.15 | yes | 76 | ||
39.35 | odd | 6 | 546.2.bb.a.269.17 | yes | 76 | ||
91.61 | odd | 6 | inner | 546.2.u.a.425.28 | yes | 76 | |
273.152 | even | 6 | inner | 546.2.u.a.425.11 | yes | 76 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
546.2.u.a.185.11 | ✓ | 76 | 1.1 | even | 1 | trivial | |
546.2.u.a.185.28 | yes | 76 | 3.2 | odd | 2 | inner | |
546.2.u.a.425.11 | yes | 76 | 273.152 | even | 6 | inner | |
546.2.u.a.425.28 | yes | 76 | 91.61 | odd | 6 | inner | |
546.2.bb.a.269.17 | yes | 76 | 39.35 | odd | 6 | ||
546.2.bb.a.269.34 | yes | 76 | 13.9 | even | 3 | ||
546.2.bb.a.341.15 | yes | 76 | 21.5 | even | 6 | ||
546.2.bb.a.341.36 | yes | 76 | 7.5 | odd | 6 |