Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [546,2,Mod(145,546)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(546, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 10, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("546.145");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 546.cg (of order \(12\), degree \(4\), 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: | \(40\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 145.5 | ||
Character | \(\chi\) | \(=\) | 546.145 |
Dual form | 546.2.cg.b.241.5 |
$q$-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 \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).
\(n\) | \(157\) | \(365\) | \(379\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(1\) | \(e\left(\frac{1}{12}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.707107 | + | 0.707107i | −0.500000 | + | 0.500000i | ||||
\(3\) | −0.866025 | − | 0.500000i | −0.500000 | − | 0.288675i | ||||
\(4\) | − | 1.00000i | − | 0.500000i | ||||||
\(5\) | 3.50534 | − | 0.939253i | 1.56764 | − | 0.420047i | 0.632565 | − | 0.774507i | \(-0.282002\pi\) |
0.935071 | + | 0.354460i | \(0.115335\pi\) | |||||||
\(6\) | 0.965926 | − | 0.258819i | 0.394338 | − | 0.105662i | ||||
\(7\) | −2.61012 | − | 0.432735i | −0.986534 | − | 0.163559i | ||||
\(8\) | 0.707107 | + | 0.707107i | 0.250000 | + | 0.250000i | ||||
\(9\) | 0.500000 | + | 0.866025i | 0.166667 | + | 0.288675i | ||||
\(10\) | −1.81450 | + | 3.14280i | −0.573795 | + | 0.993842i | ||||
\(11\) | 2.71110 | − | 0.726436i | 0.817426 | − | 0.219029i | 0.174205 | − | 0.984709i | \(-0.444264\pi\) |
0.643221 | + | 0.765681i | \(0.277598\pi\) | |||||||
\(12\) | −0.500000 | + | 0.866025i | −0.144338 | + | 0.250000i | ||||
\(13\) | 3.16979 | − | 1.71826i | 0.879142 | − | 0.476560i | ||||
\(14\) | 2.15163 | − | 1.53965i | 0.575046 | − | 0.411488i | ||||
\(15\) | −3.50534 | − | 0.939253i | −0.905075 | − | 0.242514i | ||||
\(16\) | −1.00000 | −0.250000 | ||||||||
\(17\) | −3.97221 | −0.963404 | −0.481702 | − | 0.876335i | \(-0.659981\pi\) | ||||
−0.481702 | + | 0.876335i | \(0.659981\pi\) | |||||||
\(18\) | −0.965926 | − | 0.258819i | −0.227671 | − | 0.0610042i | ||||
\(19\) | −0.453168 | + | 1.69124i | −0.103964 | + | 0.387998i | −0.998226 | − | 0.0595461i | \(-0.981035\pi\) |
0.894262 | + | 0.447544i | \(0.147701\pi\) | |||||||
\(20\) | −0.939253 | − | 3.50534i | −0.210023 | − | 0.783818i | ||||
\(21\) | 2.04406 | + | 1.67982i | 0.446052 | + | 0.366567i | ||||
\(22\) | −1.40337 | + | 2.43070i | −0.299199 | + | 0.518227i | ||||
\(23\) | − | 2.78426i | − | 0.580559i | −0.956942 | − | 0.290280i | \(-0.906252\pi\) | ||
0.956942 | − | 0.290280i | \(-0.0937483\pi\) | |||||||
\(24\) | −0.258819 | − | 0.965926i | −0.0528312 | − | 0.197169i | ||||
\(25\) | 7.07509 | − | 4.08481i | 1.41502 | − | 0.816961i | ||||
\(26\) | −1.02639 | + | 3.45638i | −0.201291 | + | 0.677851i | ||||
\(27\) | − | 1.00000i | − | 0.192450i | ||||||
\(28\) | −0.432735 | + | 2.61012i | −0.0817793 | + | 0.493267i | ||||
\(29\) | −2.41978 | − | 4.19119i | −0.449343 | − | 0.778284i | 0.549001 | − | 0.835822i | \(-0.315008\pi\) |
−0.998343 | + | 0.0575376i | \(0.981675\pi\) | |||||||
\(30\) | 3.14280 | − | 1.81450i | 0.573795 | − | 0.331281i | ||||
\(31\) | 2.48276 | − | 9.26580i | 0.445918 | − | 1.66419i | −0.267584 | − | 0.963534i | \(-0.586225\pi\) |
0.713502 | − | 0.700653i | \(-0.247108\pi\) | |||||||
\(32\) | 0.707107 | − | 0.707107i | 0.125000 | − | 0.125000i | ||||
\(33\) | −2.71110 | − | 0.726436i | −0.471941 | − | 0.126456i | ||||
\(34\) | 2.80878 | − | 2.80878i | 0.481702 | − | 0.481702i | ||||
\(35\) | −9.55582 | + | 0.934682i | −1.61523 | + | 0.157990i | ||||
\(36\) | 0.866025 | − | 0.500000i | 0.144338 | − | 0.0833333i | ||||
\(37\) | 8.22157 | + | 8.22157i | 1.35162 | + | 1.35162i | 0.883852 | + | 0.467767i | \(0.154941\pi\) |
0.467767 | + | 0.883852i | \(0.345059\pi\) | |||||||
\(38\) | −0.875453 | − | 1.51633i | −0.142017 | − | 0.245981i | ||||
\(39\) | −3.60425 | − | 0.0968376i | −0.577142 | − | 0.0155064i | ||||
\(40\) | 3.14280 | + | 1.81450i | 0.496921 | + | 0.286897i | ||||
\(41\) | 2.09174 | − | 7.80648i | 0.326675 | − | 1.21917i | −0.585943 | − | 0.810352i | \(-0.699276\pi\) |
0.912618 | − | 0.408814i | \(-0.134058\pi\) | |||||||
\(42\) | −2.63318 | + | 0.257559i | −0.406309 | + | 0.0397423i | ||||
\(43\) | −1.95431 | − | 1.12832i | −0.298029 | − | 0.172067i | 0.343528 | − | 0.939142i | \(-0.388378\pi\) |
−0.641557 | + | 0.767075i | \(0.721711\pi\) | |||||||
\(44\) | −0.726436 | − | 2.71110i | −0.109514 | − | 0.408713i | ||||
\(45\) | 2.56609 | + | 2.56609i | 0.382530 | + | 0.382530i | ||||
\(46\) | 1.96877 | + | 1.96877i | 0.290280 | + | 0.290280i | ||||
\(47\) | 0.538208 | + | 2.00862i | 0.0785056 | + | 0.292987i | 0.994005 | − | 0.109332i | \(-0.0348711\pi\) |
−0.915500 | + | 0.402319i | \(0.868204\pi\) | |||||||
\(48\) | 0.866025 | + | 0.500000i | 0.125000 | + | 0.0721688i | ||||
\(49\) | 6.62548 | + | 2.25898i | 0.946497 | + | 0.322712i | ||||
\(50\) | −2.11445 | + | 7.89124i | −0.299029 | + | 1.11599i | ||||
\(51\) | 3.44004 | + | 1.98611i | 0.481702 | + | 0.278111i | ||||
\(52\) | −1.71826 | − | 3.16979i | −0.238280 | − | 0.439571i | ||||
\(53\) | 2.21480 | + | 3.83615i | 0.304227 | + | 0.526936i | 0.977089 | − | 0.212832i | \(-0.0682687\pi\) |
−0.672862 | + | 0.739768i | \(0.734935\pi\) | |||||||
\(54\) | 0.707107 | + | 0.707107i | 0.0962250 | + | 0.0962250i | ||||
\(55\) | 8.82101 | − | 5.09281i | 1.18942 | − | 0.686715i | ||||
\(56\) | −1.53965 | − | 2.15163i | −0.205744 | − | 0.287523i | ||||
\(57\) | 1.23808 | − | 1.23808i | 0.163987 | − | 0.163987i | ||||
\(58\) | 4.67466 | + | 1.25257i | 0.613813 | + | 0.164471i | ||||
\(59\) | −3.86176 | + | 3.86176i | −0.502758 | + | 0.502758i | −0.912294 | − | 0.409536i | \(-0.865691\pi\) |
0.409536 | + | 0.912294i | \(0.365691\pi\) | |||||||
\(60\) | −0.939253 | + | 3.50534i | −0.121257 | + | 0.452538i | ||||
\(61\) | 11.8607 | − | 6.84779i | 1.51861 | − | 0.876769i | 0.518849 | − | 0.854866i | \(-0.326361\pi\) |
0.999760 | − | 0.0219037i | \(-0.00697272\pi\) | |||||||
\(62\) | 4.79633 | + | 8.30749i | 0.609135 | + | 1.05505i | ||||
\(63\) | −0.930302 | − | 2.47680i | −0.117207 | − | 0.312047i | ||||
\(64\) | 1.00000i | 0.125000i | ||||||||
\(65\) | 9.49732 | − | 9.00033i | 1.17800 | − | 1.11635i | ||||
\(66\) | 2.43070 | − | 1.40337i | 0.299199 | − | 0.172742i | ||||
\(67\) | 0.946174 | + | 3.53117i | 0.115594 | + | 0.431401i | 0.999331 | − | 0.0365826i | \(-0.0116472\pi\) |
−0.883737 | + | 0.467984i | \(0.844981\pi\) | |||||||
\(68\) | 3.97221i | 0.481702i | ||||||||
\(69\) | −1.39213 | + | 2.41124i | −0.167593 | + | 0.290280i | ||||
\(70\) | 6.09606 | − | 7.41790i | 0.728619 | − | 0.886609i | ||||
\(71\) | −1.90908 | − | 7.12477i | −0.226566 | − | 0.845554i | −0.981771 | − | 0.190066i | \(-0.939130\pi\) |
0.755206 | − | 0.655488i | \(-0.227537\pi\) | |||||||
\(72\) | −0.258819 | + | 0.965926i | −0.0305021 | + | 0.113835i | ||||
\(73\) | 5.26598 | + | 1.41102i | 0.616337 | + | 0.165147i | 0.553462 | − | 0.832874i | \(-0.313306\pi\) |
0.0628749 | + | 0.998021i | \(0.479973\pi\) | |||||||
\(74\) | −11.6271 | −1.35162 | ||||||||
\(75\) | −8.16961 | −0.943346 | ||||||||
\(76\) | 1.69124 | + | 0.453168i | 0.193999 | + | 0.0519819i | ||||
\(77\) | −7.39065 | + | 0.722900i | −0.842243 | + | 0.0823821i | ||||
\(78\) | 2.61706 | − | 2.48012i | 0.296324 | − | 0.280818i | ||||
\(79\) | −2.35907 | + | 4.08603i | −0.265416 | + | 0.459714i | −0.967673 | − | 0.252210i | \(-0.918843\pi\) |
0.702257 | + | 0.711924i | \(0.252176\pi\) | |||||||
\(80\) | −3.50534 | + | 0.939253i | −0.391909 | + | 0.105012i | ||||
\(81\) | −0.500000 | + | 0.866025i | −0.0555556 | + | 0.0962250i | ||||
\(82\) | 4.04093 | + | 6.99909i | 0.446246 | + | 0.772921i | ||||
\(83\) | −4.55850 | − | 4.55850i | −0.500361 | − | 0.500361i | 0.411189 | − | 0.911550i | \(-0.365114\pi\) |
−0.911550 | + | 0.411189i | \(0.865114\pi\) | |||||||
\(84\) | 1.67982 | − | 2.04406i | 0.183283 | − | 0.223026i | ||||
\(85\) | −13.9240 | + | 3.73092i | −1.51027 | + | 0.404675i | ||||
\(86\) | 2.17975 | − | 0.584061i | 0.235048 | − | 0.0629810i | ||||
\(87\) | 4.83957i | 0.518856i | ||||||||
\(88\) | 2.43070 | + | 1.40337i | 0.259114 | + | 0.149599i | ||||
\(89\) | 2.30159 | − | 2.30159i | 0.243968 | − | 0.243968i | −0.574521 | − | 0.818490i | \(-0.694812\pi\) |
0.818490 | + | 0.574521i | \(0.194812\pi\) | |||||||
\(90\) | −3.62900 | −0.382530 | ||||||||
\(91\) | −9.01710 | + | 3.11319i | −0.945249 | + | 0.326351i | ||||
\(92\) | −2.78426 | −0.290280 | ||||||||
\(93\) | −6.78304 | + | 6.78304i | −0.703368 | + | 0.703368i | ||||
\(94\) | −1.80088 | − | 1.03974i | −0.185746 | − | 0.107241i | ||||
\(95\) | 6.35403i | 0.651910i | ||||||||
\(96\) | −0.965926 | + | 0.258819i | −0.0985844 | + | 0.0264156i | ||||
\(97\) | −14.9544 | + | 4.00703i | −1.51839 | + | 0.406852i | −0.919213 | − | 0.393762i | \(-0.871174\pi\) |
−0.599181 | + | 0.800614i | \(0.704507\pi\) | |||||||
\(98\) | −6.28227 | + | 3.08758i | −0.634605 | + | 0.311893i | ||||
\(99\) | 1.98466 | + | 1.98466i | 0.199466 | + | 0.199466i | ||||
\(100\) | −4.08481 | − | 7.07509i | −0.408481 | − | 0.707509i | ||||
\(101\) | −5.16908 | + | 8.95311i | −0.514343 | + | 0.890867i | 0.485519 | + | 0.874226i | \(0.338631\pi\) |
−0.999862 | + | 0.0166412i | \(0.994703\pi\) | |||||||
\(102\) | −3.83686 | + | 1.02808i | −0.379906 | + | 0.101796i | ||||
\(103\) | −2.54798 | + | 4.41323i | −0.251060 | + | 0.434849i | −0.963818 | − | 0.266561i | \(-0.914112\pi\) |
0.712758 | + | 0.701410i | \(0.247446\pi\) | |||||||
\(104\) | 3.45638 | + | 1.02639i | 0.338925 | + | 0.100645i | ||||
\(105\) | 8.74292 | + | 3.96845i | 0.853222 | + | 0.387281i | ||||
\(106\) | −4.27867 | − | 1.14647i | −0.415581 | − | 0.111355i | ||||
\(107\) | −16.6319 | −1.60786 | −0.803932 | − | 0.594721i | \(-0.797262\pi\) | ||||
−0.803932 | + | 0.594721i | \(0.797262\pi\) | |||||||
\(108\) | −1.00000 | −0.0962250 | ||||||||
\(109\) | 0.625393 | + | 0.167574i | 0.0599018 | + | 0.0160506i | 0.288645 | − | 0.957436i | \(-0.406795\pi\) |
−0.228744 | + | 0.973487i | \(0.573462\pi\) | |||||||
\(110\) | −2.63623 | + | 9.83856i | −0.251355 | + | 0.938070i | ||||
\(111\) | −3.00931 | − | 11.2309i | −0.285631 | − | 1.06599i | ||||
\(112\) | 2.61012 | + | 0.432735i | 0.246633 | + | 0.0408896i | ||||
\(113\) | 1.11284 | − | 1.92750i | 0.104687 | − | 0.181324i | −0.808923 | − | 0.587914i | \(-0.799949\pi\) |
0.913610 | + | 0.406591i | \(0.133283\pi\) | |||||||
\(114\) | 1.75091i | 0.163987i | ||||||||
\(115\) | −2.61513 | − | 9.75979i | −0.243862 | − | 0.910105i | ||||
\(116\) | −4.19119 | + | 2.41978i | −0.389142 | + | 0.224671i | ||||
\(117\) | 3.07295 | + | 1.88599i | 0.284095 | + | 0.174360i | ||||
\(118\) | − | 5.46135i | − | 0.502758i | ||||||
\(119\) | 10.3680 | + | 1.71892i | 0.950430 | + | 0.157573i | ||||
\(120\) | −1.81450 | − | 3.14280i | −0.165640 | − | 0.286897i | ||||
\(121\) | −2.70395 | + | 1.56112i | −0.245813 | + | 0.141920i | ||||
\(122\) | −3.54468 | + | 13.2289i | −0.320920 | + | 1.19769i | ||||
\(123\) | −5.71474 | + | 5.71474i | −0.515280 | + | 0.515280i | ||||
\(124\) | −9.26580 | − | 2.48276i | −0.832094 | − | 0.222959i | ||||
\(125\) | 8.13351 | − | 8.13351i | 0.727483 | − | 0.727483i | ||||
\(126\) | 2.40918 | + | 1.09354i | 0.214627 | + | 0.0974202i | ||||
\(127\) | −4.06795 | + | 2.34863i | −0.360972 | + | 0.208408i | −0.669507 | − | 0.742805i | \(-0.733495\pi\) |
0.308535 | + | 0.951213i | \(0.400161\pi\) | |||||||
\(128\) | −0.707107 | − | 0.707107i | −0.0625000 | − | 0.0625000i | ||||
\(129\) | 1.12832 | + | 1.95431i | 0.0993430 | + | 0.172067i | ||||
\(130\) | −0.351423 | + | 13.0798i | −0.0308219 | + | 1.14718i | ||||
\(131\) | 12.6996 | + | 7.33214i | 1.10957 | + | 0.640612i | 0.938719 | − | 0.344684i | \(-0.112014\pi\) |
0.170854 | + | 0.985296i | \(0.445347\pi\) | |||||||
\(132\) | −0.726436 | + | 2.71110i | −0.0632281 | + | 0.235971i | ||||
\(133\) | 1.91468 | − | 4.21825i | 0.166024 | − | 0.365769i | ||||
\(134\) | −3.16596 | − | 1.82787i | −0.273497 | − | 0.157904i | ||||
\(135\) | −0.939253 | − | 3.50534i | −0.0808381 | − | 0.301692i | ||||
\(136\) | −2.80878 | − | 2.80878i | −0.240851 | − | 0.240851i | ||||
\(137\) | −1.16921 | − | 1.16921i | −0.0998921 | − | 0.0998921i | 0.655395 | − | 0.755287i | \(-0.272502\pi\) |
−0.755287 | + | 0.655395i | \(0.772502\pi\) | |||||||
\(138\) | −0.720620 | − | 2.68939i | −0.0613433 | − | 0.228936i | ||||
\(139\) | 7.64204 | + | 4.41213i | 0.648189 | + | 0.374232i | 0.787762 | − | 0.615980i | \(-0.211240\pi\) |
−0.139573 | + | 0.990212i | \(0.544573\pi\) | |||||||
\(140\) | 0.934682 | + | 9.55582i | 0.0789950 | + | 0.807614i | ||||
\(141\) | 0.538208 | − | 2.00862i | 0.0453253 | − | 0.169156i | ||||
\(142\) | 6.38789 | + | 3.68805i | 0.536060 | + | 0.309494i | ||||
\(143\) | 7.34540 | − | 6.96102i | 0.614253 | − | 0.582110i | ||||
\(144\) | −0.500000 | − | 0.866025i | −0.0416667 | − | 0.0721688i | ||||
\(145\) | −12.4188 | − | 12.4188i | −1.03132 | − | 1.03132i | ||||
\(146\) | −4.72135 | + | 2.72587i | −0.390742 | + | 0.225595i | ||||
\(147\) | −4.60834 | − | 5.26908i | −0.380090 | − | 0.434586i | ||||
\(148\) | 8.22157 | − | 8.22157i | 0.675809 | − | 0.675809i | ||||
\(149\) | −16.0270 | − | 4.29442i | −1.31298 | − | 0.351813i | −0.466639 | − | 0.884448i | \(-0.654535\pi\) |
−0.846345 | + | 0.532635i | \(0.821202\pi\) | |||||||
\(150\) | 5.77679 | − | 5.77679i | 0.471673 | − | 0.471673i | ||||
\(151\) | −2.86129 | + | 10.6785i | −0.232848 | + | 0.869002i | 0.746258 | + | 0.665656i | \(0.231848\pi\) |
−0.979107 | + | 0.203346i | \(0.934818\pi\) | |||||||
\(152\) | −1.51633 | + | 0.875453i | −0.122990 | + | 0.0710086i | ||||
\(153\) | −1.98611 | − | 3.44004i | −0.160567 | − | 0.278111i | ||||
\(154\) | 4.71481 | − | 5.73715i | 0.379930 | − | 0.462312i | ||||
\(155\) | − | 34.8117i | − | 2.79615i | ||||||
\(156\) | −0.0968376 | + | 3.60425i | −0.00775321 | + | 0.288571i | ||||
\(157\) | −8.31074 | + | 4.79821i | −0.663270 | + | 0.382939i | −0.793522 | − | 0.608542i | \(-0.791755\pi\) |
0.130252 | + | 0.991481i | \(0.458421\pi\) | |||||||
\(158\) | −1.22114 | − | 4.55737i | −0.0971490 | − | 0.362565i | ||||
\(159\) | − | 4.42961i | − | 0.351291i | ||||||
\(160\) | 1.81450 | − | 3.14280i | 0.143449 | − | 0.248460i | ||||
\(161\) | −1.20485 | + | 7.26727i | −0.0949554 | + | 0.572741i | ||||
\(162\) | −0.258819 | − | 0.965926i | −0.0203347 | − | 0.0758903i | ||||
\(163\) | −5.12217 | + | 19.1162i | −0.401199 | + | 1.49730i | 0.409760 | + | 0.912193i | \(0.365612\pi\) |
−0.810959 | + | 0.585103i | \(0.801054\pi\) | |||||||
\(164\) | −7.80648 | − | 2.09174i | −0.609583 | − | 0.163337i | ||||
\(165\) | −10.1856 | −0.792950 | ||||||||
\(166\) | 6.44670 | 0.500361 | ||||||||
\(167\) | 9.79382 | + | 2.62425i | 0.757868 | + | 0.203070i | 0.617005 | − | 0.786959i | \(-0.288346\pi\) |
0.140863 | + | 0.990029i | \(0.455012\pi\) | |||||||
\(168\) | 0.257559 | + | 2.63318i | 0.0198711 | + | 0.203155i | ||||
\(169\) | 7.09515 | − | 10.8931i | 0.545781 | − | 0.837928i | ||||
\(170\) | 7.20758 | − | 12.4839i | 0.552796 | − | 0.957470i | ||||
\(171\) | −1.69124 | + | 0.453168i | −0.129333 | + | 0.0346546i | ||||
\(172\) | −1.12832 | + | 1.95431i | −0.0860336 | + | 0.149015i | ||||
\(173\) | 8.57930 | + | 14.8598i | 0.652272 | + | 1.12977i | 0.982570 | + | 0.185892i | \(0.0595175\pi\) |
−0.330298 | + | 0.943877i | \(0.607149\pi\) | |||||||
\(174\) | −3.42209 | − | 3.42209i | −0.259428 | − | 0.259428i | ||||
\(175\) | −20.2345 | + | 7.60020i | −1.52958 | + | 0.574521i | ||||
\(176\) | −2.71110 | + | 0.726436i | −0.204357 | + | 0.0547572i | ||||
\(177\) | 5.27526 | − | 1.41350i | 0.396513 | − | 0.106245i | ||||
\(178\) | 3.25494i | 0.243968i | ||||||||
\(179\) | 13.0413 | + | 7.52942i | 0.974755 | + | 0.562775i | 0.900683 | − | 0.434478i | \(-0.143067\pi\) |
0.0740725 | + | 0.997253i | \(0.476400\pi\) | |||||||
\(180\) | 2.56609 | − | 2.56609i | 0.191265 | − | 0.191265i | ||||
\(181\) | 24.4184 | 1.81501 | 0.907504 | − | 0.420043i | \(-0.137985\pi\) | ||||
0.907504 | + | 0.420043i | \(0.137985\pi\) | |||||||
\(182\) | 4.17469 | − | 8.57741i | 0.309449 | − | 0.635800i | ||||
\(183\) | −13.6956 | −1.01241 | ||||||||
\(184\) | 1.96877 | − | 1.96877i | 0.145140 | − | 0.145140i | ||||
\(185\) | 36.5416 | + | 21.0973i | 2.68659 | + | 1.55110i | ||||
\(186\) | − | 9.59267i | − | 0.703368i | ||||||
\(187\) | −10.7691 | + | 2.88556i | −0.787511 | + | 0.211013i | ||||
\(188\) | 2.00862 | − | 0.538208i | 0.146494 | − | 0.0392528i | ||||
\(189\) | −0.432735 | + | 2.61012i | −0.0314769 | + | 0.189858i | ||||
\(190\) | −4.49298 | − | 4.49298i | −0.325955 | − | 0.325955i | ||||
\(191\) | 1.95344 | + | 3.38346i | 0.141346 | + | 0.244819i | 0.928004 | − | 0.372571i | \(-0.121524\pi\) |
−0.786658 | + | 0.617389i | \(0.788190\pi\) | |||||||
\(192\) | 0.500000 | − | 0.866025i | 0.0360844 | − | 0.0625000i | ||||
\(193\) | −17.0092 | + | 4.55759i | −1.22435 | + | 0.328063i | −0.812376 | − | 0.583134i | \(-0.801826\pi\) |
−0.411971 | + | 0.911197i | \(0.635160\pi\) | |||||||
\(194\) | 7.74099 | − | 13.4078i | 0.555771 | − | 0.962623i | ||||
\(195\) | −12.7251 | + | 3.04586i | −0.911262 | + | 0.218118i | ||||
\(196\) | 2.25898 | − | 6.62548i | 0.161356 | − | 0.473249i | ||||
\(197\) | −15.6894 | − | 4.20397i | −1.11783 | − | 0.299521i | −0.347823 | − | 0.937560i | \(-0.613079\pi\) |
−0.770004 | + | 0.638040i | \(0.779746\pi\) | |||||||
\(198\) | −2.80673 | −0.199466 | ||||||||
\(199\) | 24.9179 | 1.76638 | 0.883191 | − | 0.469013i | \(-0.155390\pi\) | ||||
0.883191 | + | 0.469013i | \(0.155390\pi\) | |||||||
\(200\) | 7.89124 | + | 2.11445i | 0.557995 | + | 0.149514i | ||||
\(201\) | 0.946174 | − | 3.53117i | 0.0667380 | − | 0.249070i | ||||
\(202\) | −2.67571 | − | 9.98589i | −0.188262 | − | 0.702605i | ||||
\(203\) | 4.50226 | + | 11.9866i | 0.315997 | + | 0.841297i | ||||
\(204\) | 1.98611 | − | 3.44004i | 0.139055 | − | 0.240851i | ||||
\(205\) | − | 29.3290i | − | 2.04843i | ||||||
\(206\) | −1.31893 | − | 4.92232i | −0.0918943 | − | 0.342954i | ||||
\(207\) | 2.41124 | − | 1.39213i | 0.167593 | − | 0.0967598i | ||||
\(208\) | −3.16979 | + | 1.71826i | −0.219785 | + | 0.119140i | ||||
\(209\) | 4.91432i | 0.339931i | ||||||||
\(210\) | −8.98830 | + | 3.37606i | −0.620251 | + | 0.232970i | ||||
\(211\) | 12.5816 | + | 21.7919i | 0.866150 | + | 1.50022i | 0.865900 | + | 0.500217i | \(0.166746\pi\) |
0.000250090 | 1.00000i | \(0.499920\pi\) | ||||||||
\(212\) | 3.83615 | − | 2.21480i | 0.263468 | − | 0.152113i | ||||
\(213\) | −1.90908 | + | 7.12477i | −0.130808 | + | 0.488181i | ||||
\(214\) | 11.7605 | − | 11.7605i | 0.803932 | − | 0.803932i | ||||
\(215\) | −7.91029 | − | 2.11956i | −0.539477 | − | 0.144553i | ||||
\(216\) | 0.707107 | − | 0.707107i | 0.0481125 | − | 0.0481125i | ||||
\(217\) | −10.4900 | + | 23.1105i | −0.712105 | + | 1.56884i | ||||
\(218\) | −0.560712 | + | 0.323727i | −0.0379762 | + | 0.0219256i | ||||
\(219\) | −3.85497 | − | 3.85497i | −0.260495 | − | 0.260495i | ||||
\(220\) | −5.09281 | − | 8.82101i | −0.343357 | − | 0.594712i | ||||
\(221\) | −12.5911 | + | 6.82530i | −0.846969 | + | 0.459120i | ||||
\(222\) | 10.0693 | + | 5.81353i | 0.675809 | + | 0.390179i | ||||
\(223\) | 4.49900 | − | 16.7905i | 0.301275 | − | 1.12437i | −0.634829 | − | 0.772652i | \(-0.718930\pi\) |
0.936104 | − | 0.351722i | \(-0.114404\pi\) | |||||||
\(224\) | −2.15163 | + | 1.53965i | −0.143762 | + | 0.102872i | ||||
\(225\) | 7.07509 | + | 4.08481i | 0.471673 | + | 0.272320i | ||||
\(226\) | 0.576049 | + | 2.14984i | 0.0383182 | + | 0.143005i | ||||
\(227\) | 14.9238 | + | 14.9238i | 0.990527 | + | 0.990527i | 0.999956 | − | 0.00942861i | \(-0.00300127\pi\) |
−0.00942861 | + | 0.999956i | \(0.503001\pi\) | |||||||
\(228\) | −1.23808 | − | 1.23808i | −0.0819937 | − | 0.0819937i | ||||
\(229\) | 2.69746 | + | 10.0670i | 0.178253 | + | 0.665249i | 0.995975 | + | 0.0896351i | \(0.0285701\pi\) |
−0.817722 | + | 0.575614i | \(0.804763\pi\) | |||||||
\(230\) | 8.75039 | + | 5.05204i | 0.576984 | + | 0.333122i | ||||
\(231\) | 6.76194 | + | 3.06927i | 0.444903 | + | 0.201943i | ||||
\(232\) | 1.25257 | − | 4.67466i | 0.0822354 | − | 0.306907i | ||||
\(233\) | −18.3850 | − | 10.6146i | −1.20444 | − | 0.695386i | −0.242903 | − | 0.970051i | \(-0.578100\pi\) |
−0.961540 | + | 0.274665i | \(0.911433\pi\) | |||||||
\(234\) | −3.50650 | + | 0.839311i | −0.229227 | + | 0.0548675i | ||||
\(235\) | 3.77320 | + | 6.53538i | 0.246137 | + | 0.426321i | ||||
\(236\) | 3.86176 | + | 3.86176i | 0.251379 | + | 0.251379i | ||||
\(237\) | 4.08603 | − | 2.35907i | 0.265416 | − | 0.153238i | ||||
\(238\) | −8.54672 | + | 6.11580i | −0.554001 | + | 0.396429i | ||||
\(239\) | −13.2336 | + | 13.2336i | −0.856011 | + | 0.856011i | −0.990865 | − | 0.134855i | \(-0.956943\pi\) |
0.134855 | + | 0.990865i | \(0.456943\pi\) | |||||||
\(240\) | 3.50534 | + | 0.939253i | 0.226269 | + | 0.0606285i | ||||
\(241\) | −12.6744 | + | 12.6744i | −0.816428 | + | 0.816428i | −0.985589 | − | 0.169160i | \(-0.945894\pi\) |
0.169160 | + | 0.985589i | \(0.445894\pi\) | |||||||
\(242\) | 0.808097 | − | 3.01586i | 0.0519465 | − | 0.193867i | ||||
\(243\) | 0.866025 | − | 0.500000i | 0.0555556 | − | 0.0320750i | ||||
\(244\) | −6.84779 | − | 11.8607i | −0.438385 | − | 0.759305i | ||||
\(245\) | 25.3463 | + | 1.69550i | 1.61932 | + | 0.108322i | ||||
\(246\) | − | 8.08186i | − | 0.515280i | ||||||
\(247\) | 1.46955 | + | 6.13955i | 0.0935055 | + | 0.390650i | ||||
\(248\) | 8.30749 | − | 4.79633i | 0.527526 | − | 0.304567i | ||||
\(249\) | 1.66853 | + | 6.22703i | 0.105739 | + | 0.394622i | ||||
\(250\) | 11.5025i | 0.727483i | ||||||||
\(251\) | 2.34493 | − | 4.06154i | 0.148011 | − | 0.256362i | −0.782481 | − | 0.622674i | \(-0.786046\pi\) |
0.930492 | + | 0.366312i | \(0.119380\pi\) | |||||||
\(252\) | −2.47680 | + | 0.930302i | −0.156024 | + | 0.0586035i | ||||
\(253\) | −2.02259 | − | 7.54841i | −0.127159 | − | 0.474564i | ||||
\(254\) | 1.21574 | − | 4.53721i | 0.0762825 | − | 0.284690i | ||||
\(255\) | 13.9240 | + | 3.73092i | 0.871953 | + | 0.233639i | ||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | −10.5145 | −0.655879 | −0.327939 | − | 0.944699i | \(-0.606354\pi\) | ||||
−0.327939 | + | 0.944699i | \(0.606354\pi\) | |||||||
\(258\) | −2.17975 | − | 0.584061i | −0.135705 | − | 0.0363621i | ||||
\(259\) | −17.9016 | − | 25.0171i | −1.11235 | − | 1.55449i | ||||
\(260\) | −9.00033 | − | 9.49732i | −0.558177 | − | 0.588999i | ||||
\(261\) | 2.41978 | − | 4.19119i | 0.149781 | − | 0.259428i | ||||
\(262\) | −14.1646 | + | 3.79540i | −0.875093 | + | 0.234480i | ||||
\(263\) | −2.50881 | + | 4.34538i | −0.154700 | + | 0.267947i | −0.932950 | − | 0.360007i | \(-0.882774\pi\) |
0.778250 | + | 0.627955i | \(0.216108\pi\) | |||||||
\(264\) | −1.40337 | − | 2.43070i | −0.0863712 | − | 0.149599i | ||||
\(265\) | 11.3668 | + | 11.3668i | 0.698254 | + | 0.698254i | ||||
\(266\) | 1.62887 | + | 4.33664i | 0.0998724 | + | 0.265897i | ||||
\(267\) | −3.14403 | + | 0.842441i | −0.192412 | + | 0.0515566i | ||||
\(268\) | 3.53117 | − | 0.946174i | 0.215701 | − | 0.0577968i | ||||
\(269\) | − | 8.02846i | − | 0.489504i | −0.969586 | − | 0.244752i | \(-0.921294\pi\) | ||
0.969586 | − | 0.244752i | \(-0.0787065\pi\) | |||||||
\(270\) | 3.14280 | + | 1.81450i | 0.191265 | + | 0.110427i | ||||
\(271\) | −13.6664 | + | 13.6664i | −0.830176 | + | 0.830176i | −0.987541 | − | 0.157364i | \(-0.949700\pi\) |
0.157364 | + | 0.987541i | \(0.449700\pi\) | |||||||
\(272\) | 3.97221 | 0.240851 | ||||||||
\(273\) | 9.36563 | + | 1.81244i | 0.566834 | + | 0.109694i | ||||
\(274\) | 1.65351 | 0.0998921 | ||||||||
\(275\) | 16.2139 | − | 16.2139i | 0.977735 | − | 0.977735i | ||||
\(276\) | 2.41124 | + | 1.39213i | 0.145140 | + | 0.0837965i | ||||
\(277\) | − | 19.0309i | − | 1.14346i | −0.820443 | − | 0.571728i | \(-0.806273\pi\) | ||
0.820443 | − | 0.571728i | \(-0.193727\pi\) | |||||||
\(278\) | −8.52358 | + | 2.28389i | −0.511211 | + | 0.136978i | ||||
\(279\) | 9.26580 | − | 2.48276i | 0.554729 | − | 0.148639i | ||||
\(280\) | −7.41790 | − | 6.09606i | −0.443305 | − | 0.364310i | ||||
\(281\) | 6.31850 | + | 6.31850i | 0.376930 | + | 0.376930i | 0.869993 | − | 0.493063i | \(-0.164123\pi\) |
−0.493063 | + | 0.869993i | \(0.664123\pi\) | |||||||
\(282\) | 1.03974 | + | 1.80088i | 0.0619154 | + | 0.107241i | ||||
\(283\) | 14.3592 | − | 24.8709i | 0.853566 | − | 1.47842i | −0.0244037 | − | 0.999702i | \(-0.507769\pi\) |
0.877969 | − | 0.478717i | \(-0.158898\pi\) | |||||||
\(284\) | −7.12477 | + | 1.90908i | −0.422777 | + | 0.113283i | ||||
\(285\) | 3.17701 | − | 5.50275i | 0.188190 | − | 0.325955i | ||||
\(286\) | −0.271797 | + | 10.1162i | −0.0160717 | + | 0.598182i | ||||
\(287\) | −8.83783 | + | 19.4707i | −0.521681 | + | 1.14932i | ||||
\(288\) | 0.965926 | + | 0.258819i | 0.0569177 | + | 0.0152511i | ||||
\(289\) | −1.22151 | −0.0718535 | ||||||||
\(290\) | 17.5628 | 1.03132 | ||||||||
\(291\) | 14.9544 | + | 4.00703i | 0.876645 | + | 0.234896i | ||||
\(292\) | 1.41102 | − | 5.26598i | 0.0825735 | − | 0.308168i | ||||
\(293\) | −5.51855 | − | 20.5955i | −0.322397 | − | 1.20320i | −0.916903 | − | 0.399111i | \(-0.869319\pi\) |
0.594505 | − | 0.804092i | \(-0.297348\pi\) | |||||||
\(294\) | 6.98439 | + | 0.467210i | 0.407338 | + | 0.0272483i | ||||
\(295\) | −9.90962 | + | 17.1640i | −0.576960 | + | 0.999324i | ||||
\(296\) | 11.6271i | 0.675809i | ||||||||
\(297\) | −0.726436 | − | 2.71110i | −0.0421521 | − | 0.157314i | ||||
\(298\) | 14.3694 | − | 8.29619i | 0.832398 | − | 0.480585i | ||||
\(299\) | −4.78409 | − | 8.82553i | −0.276671 | − | 0.510394i | ||||
\(300\) | 8.16961i | 0.471673i | ||||||||
\(301\) | 4.61272 | + | 3.79075i | 0.265873 | + | 0.218495i | ||||
\(302\) | −5.52759 | − | 9.57406i | −0.318077 | − | 0.550925i | ||||
\(303\) | 8.95311 | − | 5.16908i | 0.514343 | − | 0.296956i | ||||
\(304\) | 0.453168 | − | 1.69124i | 0.0259909 | − | 0.0969995i | ||||
\(305\) | 35.1441 | − | 35.1441i | 2.01234 | − | 2.01234i | ||||
\(306\) | 3.83686 | + | 1.02808i | 0.219339 | + | 0.0587717i | ||||
\(307\) | 15.0865 | − | 15.0865i | 0.861034 | − | 0.861034i | −0.130424 | − | 0.991458i | \(-0.541634\pi\) |
0.991458 | + | 0.130424i | \(0.0416339\pi\) | |||||||
\(308\) | 0.722900 | + | 7.39065i | 0.0411911 | + | 0.421121i | ||||
\(309\) | 4.41323 | − | 2.54798i | 0.251060 | − | 0.144950i | ||||
\(310\) | 24.6156 | + | 24.6156i | 1.39807 | + | 1.39807i | ||||
\(311\) | −14.6633 | − | 25.3976i | −0.831482 | − | 1.44017i | −0.896863 | − | 0.442308i | \(-0.854160\pi\) |
0.0653816 | − | 0.997860i | \(-0.479174\pi\) | |||||||
\(312\) | −2.48012 | − | 2.61706i | −0.140409 | − | 0.148162i | ||||
\(313\) | 20.0771 | + | 11.5915i | 1.13483 | + | 0.655192i | 0.945144 | − | 0.326654i | \(-0.105921\pi\) |
0.189682 | + | 0.981846i | \(0.439254\pi\) | |||||||
\(314\) | 2.48374 | − | 9.26943i | 0.140165 | − | 0.523104i | ||||
\(315\) | −5.58737 | − | 7.80824i | −0.314812 | − | 0.439945i | ||||
\(316\) | 4.08603 | + | 2.35907i | 0.229857 | + | 0.132708i | ||||
\(317\) | 8.06274 | + | 30.0906i | 0.452849 | + | 1.69005i | 0.694337 | + | 0.719650i | \(0.255698\pi\) |
−0.241488 | + | 0.970404i | \(0.577636\pi\) | |||||||
\(318\) | 3.13220 | + | 3.13220i | 0.175645 | + | 0.175645i | ||||
\(319\) | −9.60490 | − | 9.60490i | −0.537771 | − | 0.537771i | ||||
\(320\) | 0.939253 | + | 3.50534i | 0.0525059 | + | 0.195955i | ||||
\(321\) | 14.4036 | + | 8.31594i | 0.803932 | + | 0.464150i | ||||
\(322\) | −4.28678 | − | 5.99069i | −0.238893 | − | 0.333848i | ||||
\(323\) | 1.80008 | − | 6.71799i | 0.100159 | − | 0.373799i | ||||
\(324\) | 0.866025 | + | 0.500000i | 0.0481125 | + | 0.0277778i | ||||
\(325\) | 15.4078 | − | 25.1048i | 0.854671 | − | 1.39257i | ||||
\(326\) | −9.89527 | − | 17.1391i | −0.548048 | − | 0.949248i | ||||
\(327\) | −0.457819 | − | 0.457819i | −0.0253175 | − | 0.0253175i | ||||
\(328\) | 6.99909 | − | 4.04093i | 0.386460 | − | 0.223123i | ||||
\(329\) | −0.535588 | − | 5.47564i | −0.0295279 | − | 0.301882i | ||||
\(330\) | 7.20232 | − | 7.20232i | 0.396475 | − | 0.396475i | ||||
\(331\) | −0.810766 | − | 0.217244i | −0.0445638 | − | 0.0119408i | 0.236468 | − | 0.971639i | \(-0.424010\pi\) |
−0.281032 | + | 0.959698i | \(0.590677\pi\) | |||||||
\(332\) | −4.55850 | + | 4.55850i | −0.250180 | + | 0.250180i | ||||
\(333\) | −3.00931 | + | 11.2309i | −0.164909 | + | 0.615448i | ||||
\(334\) | −8.78090 | + | 5.06965i | −0.480469 | + | 0.277399i | ||||
\(335\) | 6.63333 | + | 11.4893i | 0.362417 | + | 0.627725i | ||||
\(336\) | −2.04406 | − | 1.67982i | −0.111513 | − | 0.0916417i | ||||
\(337\) | 21.7718i | 1.18598i | 0.805208 | + | 0.592992i | \(0.202053\pi\) | ||||
−0.805208 | + | 0.592992i | \(0.797947\pi\) | |||||||
\(338\) | 2.68553 | + | 12.7196i | 0.146073 | + | 0.691854i | ||||
\(339\) | −1.92750 | + | 1.11284i | −0.104687 | + | 0.0604412i | ||||
\(340\) | 3.73092 | + | 13.9240i | 0.202337 | + | 0.755133i | ||||
\(341\) | − | 26.9241i | − | 1.45802i | ||||||
\(342\) | 0.875453 | − | 1.51633i | 0.0473391 | − | 0.0819937i | ||||
\(343\) | −16.3158 | − | 8.76330i | −0.880969 | − | 0.473174i | ||||
\(344\) | −0.584061 | − | 2.17975i | −0.0314905 | − | 0.117524i | ||||
\(345\) | −2.61513 | + | 9.75979i | −0.140794 | + | 0.525450i | ||||
\(346\) | −16.5739 | − | 4.44097i | −0.891021 | − | 0.238748i | ||||
\(347\) | −6.64918 | −0.356947 | −0.178473 | − | 0.983945i | \(-0.557116\pi\) | ||||
−0.178473 | + | 0.983945i | \(0.557116\pi\) | |||||||
\(348\) | 4.83957 | 0.259428 | ||||||||
\(349\) | −6.21010 | − | 1.66399i | −0.332419 | − | 0.0890714i | 0.0887491 | − | 0.996054i | \(-0.471713\pi\) |
−0.421168 | + | 0.906983i | \(0.638380\pi\) | |||||||
\(350\) | 8.93380 | − | 19.6821i | 0.477531 | − | 1.05205i | ||||
\(351\) | −1.71826 | − | 3.16979i | −0.0917140 | − | 0.169191i | ||||
\(352\) | 1.40337 | − | 2.43070i | 0.0747997 | − | 0.129557i | ||||
\(353\) | −21.4601 | + | 5.75021i | −1.14220 | + | 0.306053i | −0.779837 | − | 0.625982i | \(-0.784698\pi\) |
−0.362368 | + | 0.932035i | \(0.618032\pi\) | |||||||
\(354\) | −2.73068 | + | 4.72967i | −0.145134 | + | 0.251379i | ||||
\(355\) | −13.3839 | − | 23.1816i | −0.710345 | − | 1.23035i | ||||
\(356\) | −2.30159 | − | 2.30159i | −0.121984 | − | 0.121984i | ||||
\(357\) | −8.11946 | − | 6.67261i | −0.429728 | − | 0.353152i | ||||
\(358\) | −14.5457 | + | 3.89751i | −0.768765 | + | 0.205990i | ||||
\(359\) | −1.88879 | + | 0.506100i | −0.0996865 | + | 0.0267109i | −0.308317 | − | 0.951284i | \(-0.599766\pi\) |
0.208631 | + | 0.977994i | \(0.433099\pi\) | |||||||
\(360\) | 3.62900i | 0.191265i | ||||||||
\(361\) | 13.7995 | + | 7.96717i | 0.726291 | + | 0.419324i | ||||
\(362\) | −17.2664 | + | 17.2664i | −0.907504 | + | 0.907504i | ||||
\(363\) | 3.12225 | 0.163875 | ||||||||
\(364\) | 3.11319 | + | 9.01710i | 0.163176 | + | 0.472624i | ||||
\(365\) | 19.7844 | 1.03556 | ||||||||
\(366\) | 9.68424 | − | 9.68424i | 0.506203 | − | 0.506203i | ||||
\(367\) | 14.4427 | + | 8.33851i | 0.753904 | + | 0.435267i | 0.827103 | − | 0.562051i | \(-0.189987\pi\) |
−0.0731989 | + | 0.997317i | \(0.523321\pi\) | |||||||
\(368\) | 2.78426i | 0.145140i | ||||||||
\(369\) | 7.80648 | − | 2.09174i | 0.406389 | − | 0.108892i | ||||
\(370\) | −40.7568 | + | 10.9208i | −2.11885 | + | 0.567743i | ||||
\(371\) | −4.12087 | − | 10.9712i | −0.213945 | − | 0.569599i | ||||
\(372\) | 6.78304 | + | 6.78304i | 0.351684 | + | 0.351684i | ||||
\(373\) | 6.21369 | + | 10.7624i | 0.321733 | + | 0.557257i | 0.980846 | − | 0.194787i | \(-0.0624014\pi\) |
−0.659113 | + | 0.752044i | \(0.729068\pi\) | |||||||
\(374\) | 5.57447 | − | 9.65527i | 0.288249 | − | 0.499262i | ||||
\(375\) | −11.1106 | + | 2.97707i | −0.573748 | + | 0.153735i | ||||
\(376\) | −1.03974 | + | 1.80088i | −0.0536203 | + | 0.0928732i | ||||
\(377\) | −14.8718 | − | 9.12737i | −0.765935 | − | 0.470084i | ||||
\(378\) | −1.53965 | − | 2.15163i | −0.0791908 | − | 0.110668i | ||||
\(379\) | 7.07722 | + | 1.89633i | 0.363532 | + | 0.0974082i | 0.435961 | − | 0.899965i | \(-0.356408\pi\) |
−0.0724291 | + | 0.997374i | \(0.523075\pi\) | |||||||
\(380\) | 6.35403 | 0.325955 | ||||||||
\(381\) | 4.69727 | 0.240648 | ||||||||
\(382\) | −3.77376 | − | 1.01118i | −0.193082 | − | 0.0517362i | ||||
\(383\) | −3.52224 | + | 13.1452i | −0.179978 | + | 0.671687i | 0.815672 | + | 0.578515i | \(0.196367\pi\) |
−0.995650 | + | 0.0931724i | \(0.970299\pi\) | |||||||
\(384\) | 0.258819 | + | 0.965926i | 0.0132078 | + | 0.0492922i | ||||
\(385\) | −25.2278 | + | 9.47570i | −1.28573 | + | 0.482927i | ||||
\(386\) | 8.80460 | − | 15.2500i | 0.448142 | − | 0.776205i | ||||
\(387\) | − | 2.25664i | − | 0.114711i | ||||||
\(388\) | 4.00703 | + | 14.9544i | 0.203426 | + | 0.759197i | ||||
\(389\) | 4.45547 | − | 2.57237i | 0.225901 | − | 0.130424i | −0.382778 | − | 0.923840i | \(-0.625033\pi\) |
0.608680 | + | 0.793416i | \(0.291699\pi\) | |||||||
\(390\) | 6.84425 | − | 11.1517i | 0.346572 | − | 0.564690i | ||||
\(391\) | 11.0597i | 0.559313i | ||||||||
\(392\) | 3.08758 | + | 6.28227i | 0.155946 | + | 0.317302i | ||||
\(393\) | −7.33214 | − | 12.6996i | −0.369858 | − | 0.640612i | ||||
\(394\) | 14.0668 | − | 8.12145i | 0.708673 | − | 0.409153i | ||||
\(395\) | −4.43153 | + | 16.5387i | −0.222974 | + | 0.832151i | ||||
\(396\) | 1.98466 | − | 1.98466i | 0.0997329 | − | 0.0997329i | ||||
\(397\) | 13.0507 | + | 3.49693i | 0.654997 | + | 0.175506i | 0.570987 | − | 0.820959i | \(-0.306561\pi\) |
0.0840100 | + | 0.996465i | \(0.473227\pi\) | |||||||
\(398\) | −17.6196 | + | 17.6196i | −0.883191 | + | 0.883191i | ||||
\(399\) | −3.76729 | + | 2.69577i | −0.188601 | + | 0.134957i | ||||
\(400\) | −7.07509 | + | 4.08481i | −0.353755 | + | 0.204240i | ||||
\(401\) | −10.1754 | − | 10.1754i | −0.508137 | − | 0.508137i | 0.405817 | − | 0.913954i | \(-0.366987\pi\) |
−0.913954 | + | 0.405817i | \(0.866987\pi\) | |||||||
\(402\) | 1.82787 | + | 3.16596i | 0.0911658 | + | 0.157904i | ||||
\(403\) | −8.05123 | − | 33.6367i | −0.401060 | − | 1.67556i | ||||
\(404\) | 8.95311 | + | 5.16908i | 0.445434 | + | 0.257171i | ||||
\(405\) | −0.939253 | + | 3.50534i | −0.0466719 | + | 0.174182i | ||||
\(406\) | −11.6594 | − | 5.29226i | −0.578647 | − | 0.262650i | ||||
\(407\) | 28.2619 | + | 16.3170i | 1.40089 | + | 0.808805i | ||||
\(408\) | 1.02808 | + | 3.83686i | 0.0508978 | + | 0.189953i | ||||
\(409\) | −16.2496 | − | 16.2496i | −0.803491 | − | 0.803491i | 0.180149 | − | 0.983639i | \(-0.442342\pi\) |
−0.983639 | + | 0.180149i | \(0.942342\pi\) | |||||||
\(410\) | 20.7388 | + | 20.7388i | 1.02421 | + | 1.02421i | ||||
\(411\) | 0.427959 | + | 1.59717i | 0.0211097 | + | 0.0787824i | ||||
\(412\) | 4.41323 | + | 2.54798i | 0.217424 | + | 0.125530i | ||||
\(413\) | 11.7508 | − | 8.40855i | 0.578218 | − | 0.413758i | ||||
\(414\) | −0.720620 | + | 2.68939i | −0.0354166 | + | 0.132176i | ||||
\(415\) | −20.2607 | − | 11.6975i | −0.994559 | − | 0.574209i | ||||
\(416\) | 1.02639 | − | 3.45638i | 0.0503227 | − | 0.169463i | ||||
\(417\) | −4.41213 | − | 7.64204i | −0.216063 | − | 0.374232i | ||||
\(418\) | −3.47495 | − | 3.47495i | −0.169965 | − | 0.169965i | ||||
\(419\) | −28.1122 | + | 16.2306i | −1.37337 | + | 0.792917i | −0.991351 | − | 0.131236i | \(-0.958105\pi\) |
−0.382022 | + | 0.924153i | \(0.624772\pi\) | |||||||
\(420\) | 3.96845 | − | 8.74292i | 0.193641 | − | 0.426611i | ||||
\(421\) | −17.5164 | + | 17.5164i | −0.853695 | + | 0.853695i | −0.990586 | − | 0.136891i | \(-0.956289\pi\) |
0.136891 | + | 0.990586i | \(0.456289\pi\) | |||||||
\(422\) | −24.3057 | − | 6.51270i | −1.18318 | − | 0.317033i | ||||
\(423\) | −1.47041 | + | 1.47041i | −0.0714938 | + | 0.0714938i | ||||
\(424\) | −1.14647 | + | 4.27867i | −0.0556773 | + | 0.207791i | ||||
\(425\) | −28.1038 | + | 16.2257i | −1.36323 | + | 0.787063i | ||||
\(426\) | −3.68805 | − | 6.38789i | −0.178687 | − | 0.309494i | ||||
\(427\) | −33.9212 | + | 12.7410i | −1.64156 | + | 0.616581i | ||||
\(428\) | 16.6319i | 0.803932i | ||||||||
\(429\) | −9.84182 | + | 2.35572i | −0.475167 | + | 0.113735i | ||||
\(430\) | 7.09217 | − | 4.09467i | 0.342015 | − | 0.197462i | ||||
\(431\) | −0.476905 | − | 1.77983i | −0.0229717 | − | 0.0857316i | 0.953488 | − | 0.301430i | \(-0.0974639\pi\) |
−0.976460 | + | 0.215698i | \(0.930797\pi\) | |||||||
\(432\) | 1.00000i | 0.0481125i | ||||||||
\(433\) | −9.67519 | + | 16.7579i | −0.464960 | + | 0.805335i | −0.999200 | − | 0.0399985i | \(-0.987265\pi\) |
0.534240 | + | 0.845333i | \(0.320598\pi\) | |||||||
\(434\) | −8.92407 | − | 23.7591i | −0.428369 | − | 1.14047i | ||||
\(435\) | 4.54558 | + | 16.9643i | 0.217944 | + | 0.813378i | ||||
\(436\) | 0.167574 | − | 0.625393i | 0.00802532 | − | 0.0299509i | ||||
\(437\) | 4.70887 | + | 1.26174i | 0.225256 | + | 0.0603571i | ||||
\(438\) | 5.45175 | 0.260495 | ||||||||
\(439\) | −24.5854 | −1.17340 | −0.586698 | − | 0.809806i | \(-0.699572\pi\) | ||||
−0.586698 | + | 0.809806i | \(0.699572\pi\) | |||||||
\(440\) | 9.83856 | + | 2.63623i | 0.469035 | + | 0.125678i | ||||
\(441\) | 1.35640 | + | 6.86733i | 0.0645906 | + | 0.327016i | ||||
\(442\) | 4.07703 | − | 13.7295i | 0.193924 | − | 0.653044i | ||||
\(443\) | 12.3604 | − | 21.4088i | 0.587260 | − | 1.01716i | −0.407330 | − | 0.913281i | \(-0.633540\pi\) |
0.994590 | − | 0.103883i | \(-0.0331267\pi\) | |||||||
\(444\) | −11.2309 | + | 3.00931i | −0.532994 | + | 0.142815i | ||||
\(445\) | 5.90609 | − | 10.2296i | 0.279975 | − | 0.484932i | ||||
\(446\) | 8.69140 | + | 15.0539i | 0.411550 | + | 0.712825i | ||||
\(447\) | 11.7326 | + | 11.7326i | 0.554932 | + | 0.554932i | ||||
\(448\) | 0.432735 | − | 2.61012i | 0.0204448 | − | 0.123317i | ||||
\(449\) | 24.5873 | − | 6.58814i | 1.16034 | − | 0.310913i | 0.373241 | − | 0.927734i | \(-0.378246\pi\) |
0.787104 | + | 0.616821i | \(0.211580\pi\) | |||||||
\(450\) | −7.89124 | + | 2.11445i | −0.371997 | + | 0.0996762i | ||||
\(451\) | − | 22.6836i | − | 1.06813i | ||||||
\(452\) | −1.92750 | − | 1.11284i | −0.0906618 | − | 0.0523436i | ||||
\(453\) | 7.81719 | − | 7.81719i | 0.367284 | − | 0.367284i | ||||
\(454\) | −21.1054 | −0.990527 | ||||||||
\(455\) | −28.6839 | + | 19.3821i | −1.34472 | + | 0.908649i | ||||
\(456\) | 1.75091 | 0.0819937 | ||||||||
\(457\) | 3.71575 | − | 3.71575i | 0.173815 | − | 0.173815i | −0.614838 | − | 0.788653i | \(-0.710779\pi\) |
0.788653 | + | 0.614838i | \(0.210779\pi\) | |||||||
\(458\) | −9.02586 | − | 5.21108i | −0.421751 | − | 0.243498i | ||||
\(459\) | 3.97221i | 0.185407i | ||||||||
\(460\) | −9.75979 | + | 2.61513i | −0.455053 | + | 0.121931i | ||||
\(461\) | 0.174143 | − | 0.0466615i | 0.00811065 | − | 0.00217324i | −0.254761 | − | 0.967004i | \(-0.581997\pi\) |
0.262872 | + | 0.964831i | \(0.415330\pi\) | |||||||
\(462\) | −6.95172 | + | 2.61111i | −0.323423 | + | 0.121480i | ||||
\(463\) | 3.43433 | + | 3.43433i | 0.159607 | + | 0.159607i | 0.782393 | − | 0.622786i | \(-0.213999\pi\) |
−0.622786 | + | 0.782393i | \(0.713999\pi\) | |||||||
\(464\) | 2.41978 | + | 4.19119i | 0.112336 | + | 0.194571i | ||||
\(465\) | −17.4059 | + | 30.1479i | −0.807178 | + | 1.39807i | ||||
\(466\) | 20.5058 | − | 5.49452i | 0.949914 | − | 0.254529i | ||||
\(467\) | 14.7088 | − | 25.4765i | 0.680644 | − | 1.17891i | −0.294141 | − | 0.955762i | \(-0.595033\pi\) |
0.974785 | − | 0.223148i | \(-0.0716333\pi\) | |||||||
\(468\) | 1.88599 | − | 3.07295i | 0.0871799 | − | 0.142047i | ||||
\(469\) | −0.941569 | − | 9.62623i | −0.0434776 | − | 0.444498i | ||||
\(470\) | −7.28927 | − | 1.95315i | −0.336229 | − | 0.0900922i | ||||
\(471\) | 9.59642 | 0.442180 | ||||||||
\(472\) | −5.46135 | −0.251379 | ||||||||
\(473\) | −6.11797 | − | 1.63930i | −0.281304 | − | 0.0753753i | ||||
\(474\) | −1.22114 | + | 4.55737i | −0.0560890 | + | 0.209327i | ||||
\(475\) | 3.70220 | + | 13.8168i | 0.169869 | + | 0.633959i | ||||
\(476\) | 1.71892 | − | 10.3680i | 0.0787864 | − | 0.475215i | ||||
\(477\) | −2.21480 | + | 3.83615i | −0.101409 | + | 0.175645i | ||||
\(478\) | − | 18.7151i | − | 0.856011i | ||||||
\(479\) | −5.00320 | − | 18.6722i | −0.228602 | − | 0.853155i | −0.980929 | − | 0.194365i | \(-0.937735\pi\) |
0.752327 | − | 0.658790i | \(-0.228931\pi\) | |||||||
\(480\) | −3.14280 | + | 1.81450i | −0.143449 | + | 0.0828201i | ||||
\(481\) | 40.1875 | + | 11.9339i | 1.83239 | + | 0.544137i | ||||
\(482\) | − | 17.9243i | − | 0.816428i | ||||||
\(483\) | 4.67706 | − | 5.69122i | 0.212814 | − | 0.258959i | ||||
\(484\) | 1.56112 | + | 2.70395i | 0.0709602 | + | 0.122907i | ||||
\(485\) | −48.6568 | + | 28.0920i | −2.20939 | + | 1.27559i | ||||
\(486\) | −0.258819 | + | 0.965926i | −0.0117403 | + | 0.0438153i | ||||
\(487\) | 24.7041 | − | 24.7041i | 1.11945 | − | 1.11945i | 0.127629 | − | 0.991822i | \(-0.459263\pi\) |
0.991822 | − | 0.127629i | \(-0.0407368\pi\) | |||||||
\(488\) | 13.2289 | + | 3.54468i | 0.598845 | + | 0.160460i | ||||
\(489\) | 13.9940 | − | 13.9940i | 0.632832 | − | 0.632832i | ||||
\(490\) | −19.1215 | + | 16.7237i | −0.863820 | + | 0.755498i | ||||
\(491\) | 8.91669 | − | 5.14805i | 0.402404 | − | 0.232328i | −0.285117 | − | 0.958493i | \(-0.592032\pi\) |
0.687521 | + | 0.726165i | \(0.258699\pi\) | |||||||
\(492\) | 5.71474 | + | 5.71474i | 0.257640 | + | 0.257640i | ||||
\(493\) | 9.61190 | + | 16.6483i | 0.432898 | + | 0.749802i | ||||
\(494\) | −5.38045 | − | 3.30219i | −0.242078 | − | 0.148572i | ||||
\(495\) | 8.82101 | + | 5.09281i | 0.396475 | + | 0.228905i | ||||
\(496\) | −2.48276 | + | 9.26580i | −0.111479 | + | 0.416047i | ||||
\(497\) | 1.89978 | + | 19.4226i | 0.0852169 | + | 0.871224i | ||||
\(498\) | −5.58300 | − | 3.22335i | −0.250180 | − | 0.144442i | ||||
\(499\) | −4.12442 | − | 15.3926i | −0.184634 | − | 0.689065i | −0.994708 | − | 0.102738i | \(-0.967240\pi\) |
0.810074 | − | 0.586328i | \(-0.199427\pi\) | |||||||
\(500\) | −8.13351 | − | 8.13351i | −0.363741 | − | 0.363741i | ||||
\(501\) | −7.16957 | − | 7.16957i | −0.320313 | − | 0.320313i | ||||
\(502\) | 1.21383 | + | 4.53006i | 0.0541757 | + | 0.202186i | ||||
\(503\) | 13.8649 | + | 8.00489i | 0.618205 | + | 0.356921i | 0.776170 | − | 0.630524i | \(-0.217160\pi\) |
−0.157965 | + | 0.987445i | \(0.550493\pi\) | |||||||
\(504\) | 1.09354 | − | 2.40918i | 0.0487101 | − | 0.107314i | ||||
\(505\) | −9.71015 | + | 36.2388i | −0.432096 | + | 1.61260i | ||||
\(506\) | 6.76772 | + | 3.90734i | 0.300862 | + | 0.173703i | ||||
\(507\) | −11.5911 | + | 5.88609i | −0.514779 | + | 0.261410i | ||||
\(508\) | 2.34863 | + | 4.06795i | 0.104204 | + | 0.180486i | ||||
\(509\) | 9.40170 | + | 9.40170i | 0.416723 | + | 0.416723i | 0.884073 | − | 0.467350i | \(-0.154791\pi\) |
−0.467350 | + | 0.884073i | \(0.654791\pi\) | |||||||
\(510\) | −12.4839 | + | 7.20758i | −0.552796 | + | 0.319157i | ||||
\(511\) | −13.1343 | − | 5.96170i | −0.581026 | − | 0.263730i | ||||
\(512\) | −0.707107 | + | 0.707107i | −0.0312500 | + | 0.0312500i | ||||
\(513\) | 1.69124 | + | 0.453168i | 0.0746703 | + | 0.0200078i | ||||
\(514\) | 7.43490 | − | 7.43490i | 0.327939 | − | 0.327939i | ||||
\(515\) | −4.78640 | + | 17.8631i | −0.210914 | + | 0.787141i | ||||
\(516\) | 1.95431 | − | 1.12832i | 0.0860336 | − | 0.0496715i | ||||
\(517\) | 2.91826 | + | 5.05458i | 0.128345 | + | 0.222300i | ||||
\(518\) | 30.3481 | + | 5.03144i | 1.33342 | + | 0.221069i | ||||
\(519\) | − | 17.1586i | − | 0.753179i | ||||||
\(520\) | 13.0798 | + | 0.351423i | 0.573588 | + | 0.0154109i | ||||
\(521\) | 16.2369 | − | 9.37438i | 0.711351 | − | 0.410699i | −0.100210 | − | 0.994966i | \(-0.531951\pi\) |
0.811561 | + | 0.584267i | \(0.198618\pi\) | |||||||
\(522\) | 1.25257 | + | 4.67466i | 0.0548236 | + | 0.204604i | ||||
\(523\) | 5.01454i | 0.219270i | 0.993972 | + | 0.109635i | \(0.0349682\pi\) | ||||
−0.993972 | + | 0.109635i | \(0.965032\pi\) | |||||||
\(524\) | 7.33214 | − | 12.6996i | 0.320306 | − | 0.554787i | ||||
\(525\) | 21.3237 | + | 3.53528i | 0.930642 | + | 0.154292i | ||||
\(526\) | −1.29865 | − | 4.84664i | −0.0566240 | − | 0.211324i | ||||
\(527\) | −9.86207 | + | 36.8058i | −0.429599 | + | 1.60328i | ||||
\(528\) | 2.71110 | + | 0.726436i | 0.117985 | + | 0.0316141i | ||||
\(529\) | 15.2479 | 0.662951 | ||||||||
\(530\) | −16.0750 | −0.698254 | ||||||||
\(531\) | −5.27526 | − | 1.41350i | −0.228927 | − | 0.0613408i | ||||
\(532\) | −4.21825 | − | 1.91468i | −0.182885 | − | 0.0830121i | ||||
\(533\) | −6.78319 | − | 28.3391i | −0.293813 | − | 1.22750i | ||||
\(534\) | 1.62747 | − | 2.81886i | 0.0704276 | − | 0.121984i | ||||
\(535\) | −58.3004 | + | 15.6215i | −2.52055 | + | 0.675378i | ||||
\(536\) | −1.82787 | + | 3.16596i | −0.0789519 | + | 0.136749i | ||||
\(537\) | −7.52942 | − | 13.0413i | −0.324918 | − | 0.562775i | ||||
\(538\) | 5.67698 | + | 5.67698i | 0.244752 | + | 0.244752i | ||||
\(539\) | 19.6033 | + | 1.31133i | 0.844375 | + | 0.0564832i | ||||
\(540\) | −3.50534 | + | 0.939253i | −0.150846 | + | 0.0404190i | ||||
\(541\) | −8.47577 | + | 2.27108i | −0.364402 | + | 0.0976412i | −0.436374 | − | 0.899765i | \(-0.643737\pi\) |
0.0719719 | + | 0.997407i | \(0.477071\pi\) | |||||||
\(542\) | − | 19.3272i | − | 0.830176i | ||||||
\(543\) | −21.1470 | − | 12.2092i | −0.907504 | − | 0.523948i | ||||
\(544\) | −2.80878 | + | 2.80878i | −0.120425 | + | 0.120425i | ||||
\(545\) | 2.34961 | 0.100646 | ||||||||
\(546\) | −7.90409 | + | 5.34091i | −0.338264 | + | 0.228570i | ||||
\(547\) | −27.2919 | −1.16692 | −0.583459 | − | 0.812143i | \(-0.698301\pi\) | ||||
−0.583459 | + | 0.812143i | \(0.698301\pi\) | |||||||
\(548\) | −1.16921 | + | 1.16921i | −0.0499460 | + | 0.0499460i | ||||
\(549\) | 11.8607 | + | 6.84779i | 0.506203 | + | 0.292256i | ||||
\(550\) | 22.9299i | 0.977735i | ||||||||
\(551\) | 8.18489 | − | 2.19314i | 0.348688 | − | 0.0934307i | ||||
\(552\) | −2.68939 | + | 0.720620i | −0.114468 | + | 0.0306716i | ||||
\(553\) | 7.92563 | − | 9.64418i | 0.337032 | − | 0.410112i | ||||
\(554\) | 13.4569 | + | 13.4569i | 0.571728 | + | 0.571728i | ||||
\(555\) | −21.0973 | − | 36.5416i | −0.895530 | − | 1.55110i | ||||
\(556\) | 4.41213 | − | 7.64204i | 0.187116 | − | 0.324095i | ||||
\(557\) | −41.5974 | + | 11.1460i | −1.76254 | + | 0.472271i | −0.987229 | − | 0.159308i | \(-0.949074\pi\) |
−0.775311 | + | 0.631579i | \(0.782407\pi\) | |||||||
\(558\) | −4.79633 | + | 8.30749i | −0.203045 | + | 0.351684i | ||||
\(559\) | −8.13350 | − | 0.218528i | −0.344010 | − | 0.00924273i | ||||
\(560\) | 9.55582 | − | 0.934682i | 0.403807 | − | 0.0394975i | ||||
\(561\) | 10.7691 | + | 2.88556i | 0.454670 | + | 0.121828i | ||||
\(562\) | −8.93571 | −0.376930 | ||||||||
\(563\) | 38.5816 | 1.62602 | 0.813009 | − | 0.582251i | \(-0.197828\pi\) | ||||
0.813009 | + | 0.582251i | \(0.197828\pi\) | |||||||
\(564\) | −2.00862 | − | 0.538208i | −0.0845781 | − | 0.0226626i | ||||
\(565\) | 2.09048 | − | 7.80177i | 0.0879471 | − | 0.328223i | ||||
\(566\) | 7.43287 | + | 27.7398i | 0.312427 | + | 1.16599i | ||||
\(567\) | 1.67982 | − | 2.04406i | 0.0705459 | − | 0.0858427i | ||||
\(568\) | 3.68805 | − | 6.38789i | 0.154747 | − | 0.268030i | ||||
\(569\) | 14.2378i | 0.596879i | 0.954429 | + | 0.298440i | \(0.0964662\pi\) | ||||
−0.954429 | + | 0.298440i | \(0.903534\pi\) | |||||||
\(570\) | 1.64454 | + | 6.13752i | 0.0688824 | + | 0.257072i | ||||
\(571\) | 0.320357 | − | 0.184958i | 0.0134065 | − | 0.00774025i | −0.493282 | − | 0.869870i | \(-0.664203\pi\) |
0.506688 | + | 0.862129i | \(0.330870\pi\) | |||||||
\(572\) | −6.96102 | − | 7.34540i | −0.291055 | − | 0.307127i | ||||
\(573\) | − | 3.90688i | − | 0.163212i | ||||||
\(574\) | −7.51857 | − | 20.0171i | −0.313819 | − | 0.835500i | ||||
\(575\) | −11.3732 | − | 19.6989i | −0.474294 | − | 0.821502i | ||||
\(576\) | −0.866025 | + | 0.500000i | −0.0360844 | + | 0.0208333i | ||||
\(577\) | 3.92680 | − | 14.6550i | 0.163475 | − | 0.610097i | −0.834755 | − | 0.550622i | \(-0.814391\pi\) |
0.998230 | − | 0.0594750i | \(-0.0189427\pi\) | |||||||
\(578\) | 0.863738 | − | 0.863738i | 0.0359268 | − | 0.0359268i | ||||
\(579\) | 17.0092 | + | 4.55759i | 0.706877 | + | 0.189407i | ||||
\(580\) | −12.4188 | + | 12.4188i | −0.515661 | + | 0.515661i | ||||
\(581\) | 9.92563 | + | 13.8709i | 0.411784 | + | 0.575461i | ||||
\(582\) | −13.4078 | + | 7.74099i | −0.555771 | + | 0.320874i | ||||
\(583\) | 8.79126 | + | 8.79126i | 0.364097 | + | 0.364097i | ||||
\(584\) | 2.72587 | + | 4.72135i | 0.112797 | + | 0.195371i | ||||
\(585\) | 12.5432 | + | 3.72475i | 0.518596 | + | 0.154000i | ||||
\(586\) | 18.4654 | + | 10.6610i | 0.762800 | + | 0.440403i | ||||
\(587\) | 0.548765 | − | 2.04802i | 0.0226499 | − | 0.0845307i | −0.953676 | − | 0.300837i | \(-0.902734\pi\) |
0.976326 | + | 0.216306i | \(0.0694008\pi\) | |||||||
\(588\) | −5.26908 | + | 4.60834i | −0.217293 | + | 0.190045i | ||||
\(589\) | 14.5456 | + | 8.39793i | 0.599342 | + | 0.346030i | ||||
\(590\) | −5.12959 | − | 19.1439i | −0.211182 | − | 0.788142i | ||||
\(591\) | 11.4855 | + | 11.4855i | 0.472449 | + | 0.472449i | ||||
\(592\) | −8.22157 | − | 8.22157i | −0.337905 | − | 0.337905i | ||||
\(593\) | −6.58130 | − | 24.5618i | −0.270262 | − | 1.00863i | −0.958951 | − | 0.283573i | \(-0.908480\pi\) |
0.688689 | − | 0.725057i | \(-0.258187\pi\) | |||||||
\(594\) | 2.43070 | + | 1.40337i | 0.0997329 | + | 0.0575808i | ||||
\(595\) | 37.9578 | − | 3.71276i | 1.55612 | − | 0.152208i | ||||
\(596\) | −4.29442 | + | 16.0270i | −0.175906 | + | 0.656492i | ||||
\(597\) | −21.5795 | − | 12.4589i | −0.883191 | − | 0.509911i | ||||
\(598\) | 9.62346 | + | 2.85773i | 0.393533 | + | 0.116861i | ||||
\(599\) | 8.48442 | + | 14.6954i | 0.346664 | + | 0.600440i | 0.985655 | − | 0.168775i | \(-0.0539811\pi\) |
−0.638991 | + | 0.769215i | \(0.720648\pi\) | |||||||
\(600\) | −5.77679 | − | 5.77679i | −0.235836 | − | 0.235836i | ||||
\(601\) | −30.9667 | + | 17.8786i | −1.26316 | + | 0.729284i | −0.973684 | − | 0.227903i | \(-0.926813\pi\) |
−0.289472 | + | 0.957186i | \(0.593480\pi\) | |||||||
\(602\) | −5.94215 | + | 0.581219i | −0.242184 | + | 0.0236887i | ||||
\(603\) | −2.58500 | + | 2.58500i | −0.105269 | + | 0.105269i | ||||
\(604\) | 10.6785 | + | 2.86129i | 0.434501 | + | 0.116424i | ||||
\(605\) | −8.01196 | + | 8.01196i | −0.325733 | + | 0.325733i | ||||
\(606\) | −2.67571 | + | 9.98589i | −0.108693 | + | 0.405649i | ||||
\(607\) | 21.9632 | − | 12.6805i | 0.891460 | − | 0.514685i | 0.0170401 | − | 0.999855i | \(-0.494576\pi\) |
0.874420 | + | 0.485170i | \(0.161242\pi\) | |||||||
\(608\) | 0.875453 | + | 1.51633i | 0.0355043 | + | 0.0614952i | ||||
\(609\) | 2.09425 | − | 12.6319i | 0.0848634 | − | 0.511869i | ||||
\(610\) | 49.7012i | 2.01234i | ||||||||
\(611\) | 5.15734 | + | 5.44212i | 0.208644 | + | 0.220165i | ||||
\(612\) | −3.44004 | + | 1.98611i | −0.139055 | + | 0.0802836i | ||||
\(613\) | −6.13674 | − | 22.9026i | −0.247861 | − | 0.925029i | −0.971924 | − | 0.235295i | \(-0.924394\pi\) |
0.724063 | − | 0.689733i | \(-0.242272\pi\) | |||||||
\(614\) | 21.3356i | 0.861034i | ||||||||
\(615\) | −14.6645 | + | 25.3997i | −0.591330 | + | 1.02421i | ||||
\(616\) | −5.73715 | − | 4.71481i | −0.231156 | − | 0.189965i | ||||
\(617\) | −2.21727 | − | 8.27497i | −0.0892639 | − | 0.333138i | 0.906824 | − | 0.421511i | \(-0.138500\pi\) |
−0.996087 | + | 0.0883729i | \(0.971833\pi\) | |||||||
\(618\) | −1.31893 | + | 4.92232i | −0.0530552 | + | 0.198005i | ||||
\(619\) | 24.5826 | + | 6.58689i | 0.988058 | + | 0.264749i | 0.716435 | − | 0.697654i | \(-0.245773\pi\) |
0.271624 | + | 0.962404i | \(0.412439\pi\) | |||||||
\(620\) | −34.8117 | −1.39807 | ||||||||
\(621\) | −2.78426 | −0.111729 | ||||||||
\(622\) | 28.3274 | + | 7.59030i | 1.13582 | + | 0.304343i | ||||
\(623\) | −7.00342 | + | 5.01146i | −0.280586 | + | 0.200780i | ||||
\(624\) | 3.60425 | + | 0.0968376i | 0.144285 | + | 0.00387661i | ||||
\(625\) | 0.447257 | − | 0.774672i | 0.0178903 | − | 0.0309869i | ||||
\(626\) | −22.3931 | + | 6.00022i | −0.895009 | + | 0.239817i | ||||
\(627\) | 2.45716 | − | 4.25593i | 0.0981296 | − | 0.169965i | ||||
\(628\) | 4.79821 | + | 8.31074i | 0.191469 | + | 0.331635i | ||||
\(629\) | −32.6579 | − | 32.6579i | −1.30215 | − | 1.30215i | ||||
\(630\) | 9.47213 | + | 1.57039i | 0.377378 | + | 0.0625660i | ||||
\(631\) | −16.9334 | + | 4.53729i | −0.674108 | + | 0.180627i | −0.579605 | − | 0.814898i | \(-0.696793\pi\) |
−0.0945035 | + | 0.995525i | \(0.530126\pi\) | |||||||
\(632\) | −4.55737 | + | 1.22114i | −0.181282 | + | 0.0485745i | ||||
\(633\) | − | 25.1631i | − | 1.00014i | ||||||
\(634\) | −26.9785 | − | 15.5760i | −1.07145 | − | 0.618603i | ||||
\(635\) | −12.0536 | + | 12.0536i | −0.478333 | + | 0.478333i | ||||
\(636\) | −4.42961 | −0.175645 | ||||||||
\(637\) | 24.8829 | − | 4.22380i | 0.985897 | − | 0.167353i | ||||
\(638\) | 13.5834 | 0.537771 | ||||||||
\(639\) | 5.21569 | − | 5.21569i | 0.206330 | − | 0.206330i | ||||
\(640\) | −3.14280 | − | 1.81450i | −0.124230 | − | 0.0717243i | ||||
\(641\) | − | 39.7868i | − | 1.57149i | −0.618554 | − | 0.785743i | \(-0.712281\pi\) | ||
0.618554 | − | 0.785743i | \(-0.287719\pi\) | |||||||
\(642\) | −16.0652 | + | 4.30465i | −0.634041 | + | 0.169891i | ||||
\(643\) | −19.5278 | + | 5.23247i | −0.770103 | + | 0.206348i | −0.622417 | − | 0.782686i | \(-0.713849\pi\) |
−0.147686 | + | 0.989034i | \(0.547182\pi\) | |||||||
\(644\) | 7.26727 | + | 1.20485i | 0.286371 | + | 0.0474777i | ||||
\(645\) | 5.79074 | + | 5.79074i | 0.228010 | + | 0.228010i | ||||
\(646\) | 3.47749 | + | 6.02318i | 0.136820 | + | 0.236979i | ||||
\(647\) | −22.5507 | + | 39.0590i | −0.886560 | + | 1.53557i | −0.0426444 | + | 0.999090i | \(0.513578\pi\) |
−0.843915 | + | 0.536476i | \(0.819755\pi\) | |||||||
\(648\) | −0.965926 | + | 0.258819i | −0.0379452 | + | 0.0101674i | ||||
\(649\) | −7.66428 | + | 13.2749i | −0.300849 | + | 0.521086i | ||||
\(650\) | 6.85684 | + | 28.6468i | 0.268948 | + | 1.12362i | ||||
\(651\) | 20.6398 | − | 14.7693i | 0.808938 | − | 0.578855i | ||||
\(652\) | 19.1162 | + | 5.12217i | 0.748648 | + | 0.200600i | ||||
\(653\) | 0.495719 | 0.0193990 | 0.00969950 | − | 0.999953i | \(-0.496913\pi\) | ||||
0.00969950 | + | 0.999953i | \(0.496913\pi\) | |||||||
\(654\) | 0.647454 | 0.0253175 | ||||||||
\(655\) | 51.4033 | + | 13.7735i | 2.00849 | + | 0.538175i | ||||
\(656\) | −2.09174 | + | 7.80648i | −0.0816687 | + | 0.304792i | ||||
\(657\) | 1.41102 | + | 5.26598i | 0.0550490 | + | 0.205446i | ||||
\(658\) | 4.25058 | + | 3.49314i | 0.165705 | + | 0.136177i | ||||
\(659\) | 12.2364 | − | 21.1940i | 0.476661 | − | 0.825600i | −0.522982 | − | 0.852344i | \(-0.675180\pi\) |
0.999642 | + | 0.0267435i | \(0.00851374\pi\) | |||||||
\(660\) | 10.1856i | 0.396475i | ||||||||
\(661\) | −4.86322 | − | 18.1498i | −0.189157 | − | 0.705945i | −0.993702 | − | 0.112053i | \(-0.964257\pi\) |
0.804545 | − | 0.593892i | \(-0.202409\pi\) | |||||||
\(662\) | 0.726913 | − | 0.419684i | 0.0282523 | − | 0.0163115i | ||||
\(663\) | 14.3169 | + | 0.384660i | 0.556021 | + | 0.0149389i | ||||
\(664\) | − | 6.44670i | − | 0.250180i | ||||||
\(665\) | 2.74961 | − | 16.5848i | 0.106625 | − | 0.643131i | ||||
\(666\) | −5.81353 | − | 10.0693i | −0.225270 | − | 0.390179i | ||||
\(667\) | −11.6694 | + | 6.73732i | −0.451840 | + | 0.260870i | ||||
\(668\) | 2.62425 | − | 9.79382i | 0.101535 | − | 0.378934i | ||||
\(669\) | −12.2915 | + | 12.2915i | −0.475217 | + | 0.475217i | ||||
\(670\) | −12.8146 | − | 3.43366i | −0.495071 | − | 0.132654i | ||||
\(671\) | 27.1811 | − | 27.1811i | 1.04931 | − | 1.04931i | ||||
\(672\) | 2.63318 | − | 0.257559i | 0.101577 | − | 0.00993557i | ||||
\(673\) | 11.8135 | − | 6.82054i | 0.455378 | − | 0.262912i | −0.254721 | − | 0.967015i | \(-0.581984\pi\) |
0.710099 | + | 0.704102i | \(0.248650\pi\) | |||||||
\(674\) | −15.3950 | − | 15.3950i | −0.592992 | − | 0.592992i | ||||
\(675\) | −4.08481 | − | 7.07509i | −0.157224 | − | 0.272320i | ||||
\(676\) | −10.8931 | − | 7.09515i | −0.418964 | − | 0.272891i | ||||
\(677\) | −40.7614 | − | 23.5336i | −1.56659 | − | 0.904471i | −0.996562 | − | 0.0828450i | \(-0.973599\pi\) |
−0.570027 | − | 0.821626i | \(-0.693067\pi\) | |||||||
\(678\) | 0.576049 | − | 2.14984i | 0.0221230 | − | 0.0825643i | ||||
\(679\) | 40.7669 | − | 3.98753i | 1.56449 | − | 0.153027i | ||||
\(680\) | −12.4839 | − | 7.20758i | −0.478735 | − | 0.276398i | ||||
\(681\) | −5.46249 | − | 20.3863i | −0.209323 | − | 0.781204i | ||||
\(682\) | 19.0382 | + | 19.0382i | 0.729010 | + | 0.729010i | ||||
\(683\) | −6.50572 | − | 6.50572i | −0.248935 | − | 0.248935i | 0.571599 | − | 0.820533i | \(-0.306323\pi\) |
−0.820533 | + | 0.571599i | \(0.806323\pi\) | |||||||
\(684\) | 0.453168 | + | 1.69124i | 0.0173273 | + | 0.0646664i | ||||
\(685\) | −5.19665 | − | 3.00029i | −0.198554 | − | 0.114635i | ||||
\(686\) | 17.7336 | − | 5.34040i | 0.677071 | − | 0.203898i | ||||
\(687\) | 2.69746 | − | 10.0670i | 0.102914 | − | 0.384082i | ||||
\(688\) | 1.95431 | + | 1.12832i | 0.0745073 | + | 0.0430168i | ||||
\(689\) | 13.6120 | + | 8.35419i | 0.518575 | + | 0.318269i | ||||
\(690\) | −5.05204 | − | 8.75039i | −0.192328 | − | 0.333122i | ||||
\(691\) | −1.87801 | − | 1.87801i | −0.0714430 | − | 0.0714430i | 0.670482 | − | 0.741925i | \(-0.266087\pi\) |
−0.741925 | + | 0.670482i | \(0.766087\pi\) | |||||||
\(692\) | 14.8598 | − | 8.57930i | 0.564884 | − | 0.326136i | ||||
\(693\) | −4.32137 | − | 6.03904i | −0.164155 | − | 0.229404i | ||||
\(694\) | 4.70168 | − | 4.70168i | 0.178473 | − | 0.178473i | ||||
\(695\) | 30.9321 | + | 8.28822i | 1.17332 | + | 0.314390i | ||||
\(696\) | −3.42209 | + | 3.42209i | −0.129714 | + | 0.129714i | ||||
\(697\) | −8.30884 | + | 31.0090i | −0.314720 | + | 1.17455i | ||||
\(698\) | 5.56782 | − | 3.21458i | 0.210745 | − | 0.121674i | ||||
\(699\) | 10.6146 | + | 18.3850i | 0.401481 | + | 0.695386i | ||||
\(700\) | 7.60020 | + | 20.2345i | 0.287261 | + | 0.764792i | ||||
\(701\) | 27.9693i | 1.05638i | 0.849125 | + | 0.528192i | \(0.177130\pi\) | ||||
−0.849125 | + | 0.528192i | \(0.822870\pi\) | |||||||
\(702\) | 3.45638 | + | 1.02639i | 0.130452 | + | 0.0387385i | ||||
\(703\) | −17.6304 | + | 10.1789i | −0.664945 | + | 0.383906i | ||||
\(704\) | 0.726436 | + | 2.71110i | 0.0273786 | + | 0.102178i | ||||
\(705\) | − | 7.54640i | − | 0.284214i | ||||||
\(706\) | 11.1086 | − | 19.2406i | 0.418076 | − | 0.724129i | ||||
\(707\) | 17.3663 | − | 21.1319i | 0.653125 | − | 0.794745i | ||||
\(708\) | −1.41350 | − | 5.27526i | −0.0531227 | − | 0.198257i | ||||
\(709\) | −5.25204 | + | 19.6009i | −0.197245 | + | 0.736127i | 0.794430 | + | 0.607356i | \(0.207770\pi\) |
−0.991674 | + | 0.128771i | \(0.958897\pi\) | |||||||
\(710\) | 25.8558 | + | 6.92803i | 0.970349 | + | 0.260004i | ||||
\(711\) | −4.71814 | −0.176944 | ||||||||
\(712\) | 3.25494 | 0.121984 | ||||||||
\(713\) | −25.7984 | − | 6.91267i | −0.966159 | − | 0.258882i | ||||
\(714\) | 10.4596 | − | 1.02308i | 0.391440 | − | 0.0382878i | ||||
\(715\) | 19.2100 | − | 31.3000i | 0.718412 | − | 1.17055i | ||||
\(716\) | 7.52942 | − | 13.0413i | 0.281388 | − | 0.487378i | ||||
\(717\) | 18.0774 | − | 4.84384i | 0.675114 | − | 0.180896i | ||||
\(718\) | 0.977709 | − | 1.69344i | 0.0364878 | − | 0.0631987i | ||||
\(719\) | 7.44832 | + | 12.9009i | 0.277775 | + | 0.481121i | 0.970832 | − | 0.239763i | \(-0.0770696\pi\) |
−0.693056 | + | 0.720883i | \(0.743736\pi\) | |||||||
\(720\) | −2.56609 | − | 2.56609i | −0.0956324 | − | 0.0956324i | ||||
\(721\) | 8.56030 | − | 10.4165i | 0.318802 | − | 0.387930i | ||||
\(722\) | −15.3914 | + | 4.12411i | −0.572808 | + | 0.153483i | ||||
\(723\) | 17.3135 | − | 4.63914i | 0.643897 | − | 0.172532i | ||||
\(724\) | − | 24.4184i | − | 0.907504i | ||||||
\(725\) | −34.2404 | − | 19.7687i | −1.27166 | − | 0.734191i | ||||
\(726\) | −2.20776 | + | 2.20776i | −0.0819377 | + | 0.0819377i | ||||
\(727\) | 19.1877 | 0.711634 | 0.355817 | − | 0.934556i | \(-0.384203\pi\) | ||||
0.355817 | + | 0.934556i | \(0.384203\pi\) | |||||||
\(728\) | −8.57741 | − | 4.17469i | −0.317900 | − | 0.154724i | ||||
\(729\) | −1.00000 | −0.0370370 | ||||||||
\(730\) | −13.9897 | + | 13.9897i | −0.517781 | + | 0.517781i | ||||
\(731\) | 7.76293 | + | 4.48193i | 0.287122 | + | 0.165770i | ||||
\(732\) | 13.6956i | 0.506203i | ||||||||
\(733\) | 39.0143 | − | 10.4539i | 1.44103 | − | 0.386122i | 0.548134 | − | 0.836390i | \(-0.315338\pi\) |
0.892893 | + | 0.450268i | \(0.148672\pi\) | |||||||
\(734\) | −16.1088 | + | 4.31633i | −0.594585 | + | 0.159319i | ||||
\(735\) | −21.1028 | − | 14.1415i | −0.778389 | − | 0.521618i | ||||
\(736\) | −1.96877 | − | 1.96877i | −0.0725699 | − | 0.0725699i | ||||
\(737\) | 5.13034 | + | 8.88601i | 0.188979 | + | 0.327320i | ||||
\(738\) | −4.04093 | + | 6.99909i | −0.148749 | + | 0.257640i | ||||
\(739\) | 12.6696 | − | 3.39481i | 0.466059 | − | 0.124880i | −0.0181446 | − | 0.999835i | \(-0.505776\pi\) |
0.484204 | + | 0.874955i | \(0.339109\pi\) | |||||||
\(740\) | 21.0973 | − | 36.5416i | 0.775552 | − | 1.34329i | ||||
\(741\) | 1.79711 | − | 6.05179i | 0.0660183 | − | 0.222318i | ||||
\(742\) | 10.6717 | + | 4.84395i | 0.391772 | + | 0.177827i | ||||
\(743\) | 16.2452 | + | 4.35289i | 0.595979 | + | 0.159692i | 0.544184 | − | 0.838966i | \(-0.316839\pi\) |
0.0517945 | + | 0.998658i | \(0.483506\pi\) | |||||||
\(744\) | −9.59267 | −0.351684 | ||||||||
\(745\) | −60.2137 | −2.20606 | ||||||||
\(746\) | −12.0039 | − | 3.21644i | −0.439495 | − | 0.117762i | ||||
\(747\) | 1.66853 | − | 6.22703i | 0.0610483 | − | 0.227835i | ||||
\(748\) | 2.88556 | + | 10.7691i | 0.105507 | + | 0.393756i | ||||
\(749\) | 43.4112 | + | 7.19720i | 1.58621 | + | 0.262980i | ||||
\(750\) | 5.75126 | − | 9.96147i | 0.210006 | − | 0.363741i | ||||
\(751\) | 7.68549i | 0.280447i | 0.990120 | + | 0.140224i | \(0.0447822\pi\) | ||||
−0.990120 | + | 0.140224i | \(0.955218\pi\) | |||||||
\(752\) | −0.538208 | − | 2.00862i | −0.0196264 | − | 0.0732468i | ||||
\(753\) | −4.06154 | + | 2.34493i | −0.148011 | + | 0.0854540i | ||||
\(754\) | 16.9700 | − | 4.06190i | 0.618009 | − | 0.147926i | ||||
\(755\) | 40.1192i | 1.46009i | ||||||||
\(756\) | 2.61012 | + | 0.432735i | 0.0949292 | + | 0.0157384i | ||||
\(757\) | −0.600662 | − | 1.04038i | −0.0218314 | − | 0.0378131i | 0.854903 | − | 0.518787i | \(-0.173616\pi\) |
−0.876735 | + | 0.480974i | \(0.840283\pi\) | |||||||
\(758\) | −6.34526 | + | 3.66344i | −0.230470 | + | 0.133062i | ||||
\(759\) | −2.02259 | + | 7.54841i | −0.0734153 | + | 0.273990i | ||||
\(760\) | −4.49298 | + | 4.49298i | −0.162977 | + | 0.162977i | ||||
\(761\) | −32.5042 | − | 8.70948i | −1.17828 | − | 0.315718i | −0.384034 | − | 0.923319i | \(-0.625465\pi\) |
−0.794243 | + | 0.607601i | \(0.792132\pi\) | |||||||
\(762\) | −3.32147 | + | 3.32147i | −0.120324 | + | 0.120324i | ||||
\(763\) | −1.55984 | − | 0.708017i | −0.0564699 | − | 0.0256319i | ||||
\(764\) | 3.38346 | − | 1.95344i | 0.122409 | − | 0.0706730i | ||||
\(765\) | −10.1931 | − | 10.1931i | −0.368531 | − | 0.368531i | ||||
\(766\) | −6.80444 | − | 11.7856i | −0.245855 | − | 0.425833i | ||||
\(767\) | −5.60546 | + | 18.8765i | −0.202401 | + | 0.681591i | ||||
\(768\) | −0.866025 | − | 0.500000i | −0.0312500 | − | 0.0180422i | ||||
\(769\) | 9.90694 | − | 36.9732i | 0.357253 | − | 1.33329i | −0.520371 | − | 0.853940i | \(-0.674207\pi\) |
0.877625 | − | 0.479348i | \(-0.159127\pi\) | |||||||
\(770\) | 11.1384 | − | 24.5391i | 0.401399 | − | 0.884326i | ||||
\(771\) | 9.10586 | + | 5.25727i | 0.327939 | + | 0.189336i | ||||
\(772\) | 4.55759 | + | 17.0092i | 0.164031 | + | 0.612174i | ||||
\(773\) | −10.6503 | − | 10.6503i | −0.383066 | − | 0.383066i | 0.489140 | − | 0.872205i | \(-0.337311\pi\) |
−0.872205 | + | 0.489140i | \(0.837311\pi\) | |||||||
\(774\) | 1.59569 | + | 1.59569i | 0.0573557 | + | 0.0573557i | ||||
\(775\) | −20.2832 | − | 75.6980i | −0.728595 | − | 2.71915i | ||||
\(776\) | −13.4078 | − | 7.74099i | −0.481311 | − | 0.277885i | ||||
\(777\) | 2.99466 | + | 30.6162i | 0.107433 | + | 1.09835i | ||||
\(778\) | −1.33156 | + | 4.96943i | −0.0477386 | + | 0.178163i | ||||
\(779\) | 12.2548 | + | 7.07528i | 0.439072 | + | 0.253498i | ||||
\(780\) | 3.04586 | + | 12.7251i | 0.109059 | + | 0.455631i | ||||
\(781\) | −10.3514 | − | 17.9291i | −0.370401 | − | 0.641554i | ||||
\(782\) | −7.82038 | − | 7.82038i | −0.279656 | − | 0.279656i | ||||
\(783\) | −4.19119 | + | 2.41978i | −0.149781 | + | 0.0864760i | ||||
\(784\) | −6.62548 | − | 2.25898i | −0.236624 | − | 0.0806780i | ||||
\(785\) | −24.6253 | + | 24.6253i | −0.878913 | + | 0.878913i | ||||
\(786\) | 14.1646 | + | 3.79540i | 0.505235 | + | 0.135377i | ||||
\(787\) | 15.0565 | − | 15.0565i | 0.536707 | − | 0.536707i | −0.385853 | − | 0.922560i | \(-0.626093\pi\) |
0.922560 | + | 0.385853i | \(0.126093\pi\) | |||||||
\(788\) | −4.20397 | + | 15.6894i | −0.149760 | + | 0.558913i | ||||
\(789\) | 4.34538 | − | 2.50881i | 0.154700 | − | 0.0893158i | ||||
\(790\) | −8.56105 | − | 14.8282i | −0.304588 | − | 0.527563i | ||||
\(791\) | −3.73875 | + | 4.54944i | −0.132935 | + | 0.161759i | ||||
\(792\) | 2.80673i | 0.0997329i | ||||||||
\(793\) | 25.8297 | − | 42.0859i | 0.917240 | − | 1.49451i | ||||
\(794\) | −11.7010 | + | 6.75555i | −0.415252 | + | 0.239746i | ||||
\(795\) | −4.16052 | − | 15.5273i | −0.147559 | − | 0.550696i | ||||
\(796\) | − | 24.9179i | − | 0.883191i | ||||||
\(797\) | −17.2380 | + | 29.8571i | −0.610601 | + | 1.05759i | 0.380538 | + | 0.924765i | \(0.375739\pi\) |
−0.991139 | + | 0.132827i | \(0.957595\pi\) | |||||||
\(798\) | 0.757678 | − | 4.57008i | 0.0268215 | − | 0.161779i | ||||
\(799\) | −2.13788 | − | 7.97866i | −0.0756326 | − | 0.282265i | ||||
\(800\) | 2.11445 | − | 7.89124i | 0.0747571 | − | 0.278997i | ||||
\(801\) | 3.14403 | + | 0.842441i | 0.111089 | + | 0.0297662i | ||||
\(802\) | 14.3902 | 0.508137 | ||||||||
\(803\) | 15.3016 | 0.539982 | ||||||||
\(804\) | −3.53117 | − | 0.946174i | −0.124535 | − | 0.0333690i | ||||
\(805\) | 2.60240 | + | 26.6059i | 0.0917226 | + | 0.937735i | ||||
\(806\) | 29.4778 | + | 18.0917i | 1.03831 | + | 0.637252i | ||||
\(807\) | −4.01423 | + | 6.95285i | −0.141308 | + | 0.244752i | ||||
\(808\) | −9.98589 | + | 2.67571i | −0.351302 | + | 0.0941312i | ||||
\(809\) | 12.8582 | − | 22.2711i | 0.452070 | − | 0.783009i | −0.546444 | − | 0.837496i | \(-0.684019\pi\) |
0.998515 | + | 0.0544866i | \(0.0173522\pi\) | |||||||
\(810\) | −1.81450 | − | 3.14280i | −0.0637550 | − | 0.110427i | ||||
\(811\) | −23.6082 | − | 23.6082i | −0.828996 | − | 0.828996i | 0.158382 | − | 0.987378i | \(-0.449372\pi\) |
−0.987378 | + | 0.158382i | \(0.949372\pi\) | |||||||
\(812\) | 11.9866 | − | 4.50226i | 0.420649 | − | 0.157998i | ||||
\(813\) | 18.6687 | − | 5.00226i | 0.654740 | − | 0.175437i | ||||
\(814\) | −31.5221 | + | 8.44632i | −1.10485 | + | 0.296043i | ||||
\(815\) | 71.8198i | 2.51574i | ||||||||
\(816\) | −3.44004 | − | 1.98611i | −0.120425 | − | 0.0695277i | ||||
\(817\) | 2.79389 | − | 2.79389i | 0.0977460 | − | 0.0977460i | ||||
\(818\) | 22.9804 | 0.803491 | ||||||||
\(819\) | −7.20465 | − | 6.25244i | −0.251751 | − | 0.218478i | ||||
\(820\) | −29.3290 | −1.02421 | ||||||||
\(821\) | −30.7995 | + | 30.7995i | −1.07491 | + | 1.07491i | −0.0779521 | + | 0.996957i | \(0.524838\pi\) |
−0.996957 | + | 0.0779521i | \(0.975162\pi\) | |||||||
\(822\) | −1.43198 | − | 0.826754i | −0.0499460 | − | 0.0288364i | ||||
\(823\) | 14.9004i | 0.519395i | 0.965690 | + | 0.259697i | \(0.0836228\pi\) | ||||
−0.965690 | + | 0.259697i | \(0.916377\pi\) | |||||||
\(824\) | −4.92232 | + | 1.31893i | −0.171477 | + | 0.0459472i | ||||
\(825\) | −22.1486 | + | 5.93470i | −0.771116 | + | 0.206620i | ||||
\(826\) | −2.36332 | + | 14.2548i | −0.0822304 | + | 0.495988i | ||||
\(827\) | −8.29951 | − | 8.29951i | −0.288602 | − | 0.288602i | 0.547925 | − | 0.836527i | \(-0.315418\pi\) |
−0.836527 | + | 0.547925i | \(0.815418\pi\) | |||||||
\(828\) | −1.39213 | − | 2.41124i | −0.0483799 | − | 0.0837965i | ||||
\(829\) | 1.76888 | − | 3.06379i | 0.0614357 | − | 0.106410i | −0.833672 | − | 0.552260i | \(-0.813765\pi\) |
0.895107 | + | 0.445851i | \(0.147099\pi\) | |||||||
\(830\) | 22.5979 | − | 6.05508i | 0.784384 | − | 0.210175i | ||||
\(831\) | −9.51546 | + | 16.4813i | −0.330088 | + | 0.571728i | ||||
\(832\) | 1.71826 | + | 3.16979i | 0.0595700 | + | 0.109893i | ||||
\(833\) | −26.3178 | − | 8.97317i | −0.911859 | − | 0.310902i | ||||
\(834\) | 8.52358 | + | 2.28389i | 0.295148 | + | 0.0790846i | ||||
\(835\) | 36.7955 | 1.27336 | ||||||||
\(836\) | 4.91432 | 0.169965 | ||||||||
\(837\) | −9.26580 | − | 2.48276i | −0.320273 | − | 0.0858169i | ||||
\(838\) | 8.40158 | − | 31.3551i | 0.290228 | − | 1.08315i | ||||
\(839\) | −1.46266 | − | 5.45871i | −0.0504966 | − | 0.188456i | 0.936071 | − | 0.351812i | \(-0.114435\pi\) |
−0.986567 | + | 0.163357i | \(0.947768\pi\) | |||||||
\(840\) | 3.37606 | + | 8.98830i | 0.116485 | + | 0.310126i | ||||
\(841\) | 2.78929 | − | 4.83119i | 0.0961824 | − | 0.166593i | ||||
\(842\) | − | 24.7719i | − | 0.853695i | ||||||
\(843\) | −2.31273 | − | 8.63123i | −0.0796547 | − | 0.297275i | ||||
\(844\) | 21.7919 | − | 12.5816i | 0.750108 | − | 0.433075i | ||||
\(845\) | 14.6396 | − | 44.8480i | 0.503617 | − | 1.54282i | ||||
\(846\) | − | 2.07947i | − | 0.0714938i | ||||||
\(847\) | 7.73318 | − | 2.90463i | 0.265715 | − | 0.0998043i | ||||
\(848\) | −2.21480 | − | 3.83615i | −0.0760566 | − | 0.131734i | ||||
\(849\) | −24.8709 | + | 14.3592i | −0.853566 | + | 0.492806i | ||||
\(850\) | 8.39906 | − | 31.3457i | 0.288085 | − | 1.07515i | ||||
\(851\) | 22.8910 | − | 22.8910i | 0.784694 | − | 0.784694i | ||||
\(852\) | 7.12477 | + | 1.90908i | 0.244090 | + | 0.0654038i | ||||
\(853\) | −17.9250 | + | 17.9250i | −0.613739 | + | 0.613739i | −0.943918 | − | 0.330179i | \(-0.892891\pi\) |
0.330179 | + | 0.943918i | \(0.392891\pi\) | |||||||
\(854\) | 14.9767 | − | 32.9952i | 0.512491 | − | 1.12907i | ||||
\(855\) | −5.50275 | + | 3.17701i | −0.188190 | + | 0.108652i | ||||
\(856\) | −11.7605 | − | 11.7605i | −0.401966 | − | 0.401966i | ||||
\(857\) | 16.2816 | + | 28.2006i | 0.556170 | + | 0.963315i | 0.997811 | + | 0.0661232i | \(0.0210630\pi\) |
−0.441641 | + | 0.897192i | \(0.645604\pi\) | |||||||
\(858\) | 5.29347 | − | 8.62496i | 0.180716 | − | 0.294451i | ||||
\(859\) | −15.7330 | − | 9.08344i | −0.536802 | − | 0.309923i | 0.206980 | − | 0.978345i | \(-0.433637\pi\) |
−0.743782 | + | 0.668422i | \(0.766970\pi\) | |||||||
\(860\) | −2.11956 | + | 7.91029i | −0.0722763 | + | 0.269739i | ||||
\(861\) | 17.3891 | − | 12.4432i | 0.592620 | − | 0.424063i | ||||
\(862\) | 1.59575 | + | 0.921309i | 0.0543516 | + | 0.0313799i | ||||
\(863\) | 11.3279 | + | 42.2764i | 0.385607 | + | 1.43911i | 0.837207 | + | 0.546886i | \(0.184187\pi\) |
−0.451600 | + | 0.892221i | \(0.649147\pi\) | |||||||
\(864\) | −0.707107 | − | 0.707107i | −0.0240563 | − | 0.0240563i | ||||
\(865\) | 44.0305 | + | 44.0305i | 1.49708 | + | 1.49708i | ||||
\(866\) | −5.00825 | − | 18.6910i | −0.170187 | − | 0.635147i | ||||
\(867\) | 1.05786 | + | 0.610755i | 0.0359268 | + | 0.0207423i | ||||
\(868\) | 23.1105 | + | 10.4900i | 0.784422 | + | 0.356052i | ||||
\(869\) | −3.42742 | + | 12.7913i | −0.116267 | + | 0.433916i | ||||
\(870\) | −15.2098 | − | 8.78139i | −0.515661 | − | 0.297717i | ||||
\(871\) | 9.06665 | + | 9.56730i | 0.307212 | + | 0.324176i | ||||
\(872\) | 0.323727 | + | 0.560712i | 0.0109628 | + | 0.0189881i | ||||
\(873\) | −10.9474 | − | 10.9474i | −0.370514 | − | 0.370514i | ||||
\(874\) | −4.22186 | + | 2.43749i | −0.142806 | + | 0.0824494i | ||||
\(875\) | −24.7491 | + | 17.7098i | −0.836672 | + | 0.598700i | ||||
\(876\) | −3.85497 | + | 3.85497i | −0.130247 | + | 0.130247i | ||||
\(877\) | 42.4266 | + | 11.3682i | 1.43264 | + | 0.383876i | 0.889951 | − | 0.456055i | \(-0.150738\pi\) |
0.542693 | + | 0.839931i | \(0.317405\pi\) | |||||||
\(878\) | 17.3845 | − | 17.3845i | 0.586698 | − | 0.586698i | ||||
\(879\) | −5.51855 | + | 20.5955i | −0.186136 | + | 0.694669i | ||||
\(880\) | −8.82101 | + | 5.09281i | −0.297356 | + | 0.171679i | ||||
\(881\) | −17.6961 | − | 30.6506i | −0.596198 | − | 1.03265i | −0.993377 | − | 0.114904i | \(-0.963344\pi\) |
0.397179 | − | 0.917741i | \(-0.369989\pi\) | |||||||
\(882\) | −5.81505 | − | 3.89681i | −0.195803 | − | 0.131212i | ||||
\(883\) | − | 35.4907i | − | 1.19436i | −0.802108 | − | 0.597179i | \(-0.796288\pi\) | ||
0.802108 | − | 0.597179i | \(-0.203712\pi\) | |||||||
\(884\) | 6.82530 | + | 12.5911i | 0.229560 | + | 0.423484i | ||||
\(885\) | 17.1640 | − | 9.90962i | 0.576960 | − | 0.333108i | ||||
\(886\) | 6.39821 | + | 23.8784i | 0.214952 | + | 0.802212i | ||||
\(887\) | 16.4273i | 0.551576i | 0.961219 | + | 0.275788i | \(0.0889387\pi\) | ||||
−0.961219 | + | 0.275788i | \(0.911061\pi\) | |||||||
\(888\) | 5.81353 | − | 10.0693i | 0.195089 | − | 0.337905i | ||||
\(889\) | 11.6342 | − | 4.36988i | 0.390198 | − | 0.146561i | ||||
\(890\) | 3.05722 | + | 11.4097i | 0.102478 | + | 0.382454i | ||||
\(891\) | −0.726436 | + | 2.71110i | −0.0243365 | + | 0.0908251i | ||||
\(892\) | −16.7905 | − | 4.49900i | −0.562187 | − | 0.150638i | ||||
\(893\) | −3.64096 | −0.121840 | ||||||||
\(894\) | −16.5924 | −0.554932 | ||||||||
\(895\) | 52.7864 | + | 14.1441i | 1.76445 | + | 0.472784i | ||||
\(896\) | 1.53965 | + | 2.15163i | 0.0514359 | + | 0.0718808i | ||||
\(897\) | −0.269621 | + | 10.0352i | −0.00900239 | + | 0.335065i | ||||
\(898\) | −12.7273 | + | 22.0443i | −0.424716 | + | 0.735629i | ||||
\(899\) | −44.8425 | + | 12.0155i | −1.49558 | + | 0.400740i | ||||
\(900\) | 4.08481 | − | 7.07509i | 0.136160 | − | 0.235836i | ||||
\(901\) | −8.79767 | − | 15.2380i | −0.293093 | − | 0.507652i | ||||
\(902\) | 16.0397 | + | 16.0397i | 0.534065 | + | 0.534065i | ||||
\(903\) | −2.09936 | − | 5.58925i | −0.0698622 | − | 0.185998i | ||||
\(904\) | 2.14984 | − | 0.576049i | 0.0715027 | − | 0.0191591i | ||||
\(905\) | 85.5950 | − | 22.9351i | 2.84527 | − | 0.762388i | ||||
\(906\) | 11.0552i | 0.367284i | ||||||||
\(907\) | 4.99758 | + | 2.88535i | 0.165942 | + | 0.0958065i | 0.580671 | − | 0.814138i | \(-0.302790\pi\) |
−0.414729 | + | 0.909945i | \(0.636124\pi\) | |||||||
\(908\) | 14.9238 | − | 14.9238i | 0.495263 | − | 0.495263i | ||||
\(909\) | −10.3382 | −0.342895 | ||||||||
\(910\) | 6.57735 | − | 33.9878i | 0.218037 | − | 1.12669i | ||||
\(911\) | 3.08708 | 0.102280 | 0.0511398 | − | 0.998692i | \(-0.483715\pi\) | ||||
0.0511398 | + | 0.998692i | \(0.483715\pi\) | |||||||
\(912\) | −1.23808 | + | 1.23808i | −0.0409968 | + | 0.0409968i | ||||
\(913\) | −15.6700 | − | 9.04708i | −0.518601 | − | 0.299415i | ||||
\(914\) | 5.25486i | 0.173815i | ||||||||
\(915\) | −48.0077 | + | 12.8636i | −1.58708 | + | 0.425258i | ||||
\(916\) | 10.0670 | − | 2.69746i | 0.332624 | − | 0.0891264i | ||||
\(917\) | −29.9748 | − | 24.6334i | −0.989854 | − | 0.813466i | ||||
\(918\) | −2.80878 | − | 2.80878i | −0.0927036 | − | 0.0927036i | ||||
\(919\) | 13.1100 | + | 22.7072i | 0.432459 | + | 0.749042i | 0.997084 | − | 0.0763059i | \(-0.0243126\pi\) |
−0.564625 | + | 0.825347i | \(0.690979\pi\) | |||||||
\(920\) | 5.05204 | − | 8.75039i | 0.166561 | − | 0.288492i | ||||
\(921\) | −20.6086 | + | 5.52206i | −0.679076 | + | 0.181958i | ||||
\(922\) | −0.0901431 | + | 0.156132i | −0.00296870 | + | 0.00514195i | ||||
\(923\) | −18.2936 | − | 19.3037i | −0.602141 | − | 0.635390i | ||||
\(924\) | 3.06927 | − | 6.76194i | 0.100972 | − | 0.222451i | ||||
\(925\) | 91.7519 | + | 24.5849i | 3.01679 | + | 0.808345i | ||||
\(926\) | −4.85688 | −0.159607 | ||||||||
\(927\) | −5.09596 | −0.167373 | ||||||||
\(928\) | −4.67466 | − | 1.25257i | −0.153453 | − | 0.0411177i | ||||
\(929\) | 2.46366 | − | 9.19449i | 0.0808299 | − | 0.301661i | −0.913662 | − | 0.406475i | \(-0.866758\pi\) |
0.994492 | + | 0.104813i | \(0.0334245\pi\) | |||||||
\(930\) | −9.00994 | − | 33.6256i | −0.295448 | − | 1.10263i | ||||
\(931\) | −6.82295 | + | 10.1816i | −0.223613 | + | 0.333689i | ||||
\(932\) | −10.6146 | + | 18.3850i | −0.347693 | + | 0.602222i | ||||
\(933\) | 29.3267i | 0.960112i | ||||||||
\(934\) | 7.61386 | + | 28.4153i | 0.249133 | + | 0.929777i | ||||
\(935\) | −35.0389 | + | 20.2297i | −1.14590 | + | 0.661583i | ||||
\(936\) | 0.839311 | + | 3.50650i | 0.0274337 | + | 0.114614i | ||||
\(937\) | − | 0.688061i | − | 0.0224780i | −0.999937 | − | 0.0112390i | \(-0.996422\pi\) | ||
0.999937 | − | 0.0112390i | \(-0.00357755\pi\) | |||||||
\(938\) | 7.47256 | + | 6.14098i | 0.243988 | + | 0.200510i | ||||
\(939\) | −11.5915 | − | 20.0771i | −0.378275 | − | 0.655192i | ||||
\(940\) | 6.53538 | − | 3.77320i | 0.213161 | − | 0.123068i | ||||
\(941\) | 7.66651 | − | 28.6118i | 0.249921 | − | 0.932718i | −0.720925 | − | 0.693013i | \(-0.756283\pi\) |
0.970846 | − | 0.239705i | \(-0.0770507\pi\) | |||||||
\(942\) | −6.78569 | + | 6.78569i | −0.221090 | + | 0.221090i | ||||
\(943\) | −21.7353 | − | 5.82395i | −0.707798 | − | 0.189654i | ||||
\(944\) | 3.86176 | − | 3.86176i | 0.125690 | − | 0.125690i | ||||
\(945\) | 0.934682 | + | 9.55582i | 0.0304052 | + | 0.310851i | ||||
\(946\) | 5.48522 | − | 3.16689i | 0.178340 | − | 0.102965i | ||||
\(947\) | −30.6468 | − | 30.6468i | −0.995887 | − | 0.995887i | 0.00410427 | − | 0.999992i | \(-0.498694\pi\) |
−0.999992 | + | 0.00410427i | \(0.998694\pi\) | |||||||
\(948\) | −2.35907 | − | 4.08603i | −0.0766190 | − | 0.132708i | ||||
\(949\) | 19.1166 | − | 4.57571i | 0.620550 | − | 0.148534i | ||||
\(950\) | −12.3878 | − | 7.15211i | −0.401914 | − | 0.232045i | ||||
\(951\) | 8.06274 | − | 30.0906i | 0.261452 | − | 0.975753i | ||||
\(952\) | 6.11580 | + | 8.54672i | 0.198214 | + | 0.277001i | ||||
\(953\) | 41.6155 | + | 24.0267i | 1.34806 | + | 0.778302i | 0.987974 | − | 0.154618i | \(-0.0494146\pi\) |
0.360084 | + | 0.932920i | \(0.382748\pi\) | |||||||
\(954\) | −1.14647 | − | 4.27867i | −0.0371182 | − | 0.138527i | ||||
\(955\) | 10.0254 | + | 10.0254i | 0.324414 | + | 0.324414i | ||||
\(956\) | 13.2336 | + | 13.2336i | 0.428005 | + | 0.428005i | ||||
\(957\) | 3.51564 | + | 13.1205i | 0.113644 | + | 0.424127i | ||||
\(958\) | 16.7410 | + | 9.66544i | 0.540878 | + | 0.312276i | ||||
\(959\) | 2.54582 | + | 3.55773i | 0.0822087 | + | 0.114885i | ||||
\(960\) | 0.939253 | − | 3.50534i | 0.0303143 | − | 0.113134i | ||||
\(961\) | −52.8442 | − | 30.5096i | −1.70465 | − | 0.984181i | ||||
\(962\) | −36.8554 | + | 19.9783i | −1.18826 | + | 0.644127i | ||||
\(963\) | −8.31594 | − | 14.4036i | −0.267977 | − | 0.464150i | ||||
\(964\) | 12.6744 | + | 12.6744i | 0.408214 | + | 0.408214i | ||||
\(965\) | −55.3422 | + | 31.9518i | −1.78153 | + | 1.02857i | ||||
\(966\) | 0.717113 | + | 7.33148i | 0.0230727 | + | 0.235887i | ||||
\(967\) | −2.01565 | + | 2.01565i | −0.0648191 | + | 0.0648191i | −0.738773 | − | 0.673954i | \(-0.764595\pi\) |
0.673954 | + | 0.738773i | \(0.264595\pi\) | |||||||
\(968\) | −3.01586 | − | 0.808097i | −0.0969334 | − | 0.0259732i | ||||
\(969\) | −4.91791 | + | 4.91791i | −0.157986 | + | 0.157986i | ||||
\(970\) | 14.5415 | − | 54.2696i | 0.466899 | − | 1.74249i | ||||
\(971\) | 35.3873 | − | 20.4309i | 1.13563 | − | 0.655658i | 0.190287 | − | 0.981728i | \(-0.439058\pi\) |
0.945345 | + | 0.326071i | \(0.105725\pi\) | |||||||
\(972\) | −0.500000 | − | 0.866025i | −0.0160375 | − | 0.0277778i | ||||
\(973\) | −18.0374 | − | 14.8232i | −0.578251 | − | 0.475209i | ||||
\(974\) | 34.9369i | 1.11945i | ||||||||
\(975\) | −25.8960 | + | 14.0375i | −0.829335 | + | 0.449561i | ||||
\(976\) | −11.8607 | + | 6.84779i | −0.379652 | + | 0.219192i | ||||
\(977\) | 9.94177 | + | 37.1032i | 0.318066 | + | 1.18704i | 0.921101 | + | 0.389323i | \(0.127291\pi\) |
−0.603036 | + | 0.797714i | \(0.706042\pi\) | |||||||
\(978\) | 19.7905i | 0.632832i | ||||||||
\(979\) | 4.56788 | − | 7.91180i | 0.145990 | − | 0.252862i | ||||
\(980\) | 1.69550 | − | 25.3463i | 0.0541609 | − | 0.809659i | ||||
\(981\) | 0.167574 | + | 0.625393i | 0.00535021 | + | 0.0199673i | ||||
\(982\) | −2.66483 | + | 9.94527i | −0.0850380 | + | 0.317366i | ||||
\(983\) | 1.86477 | + | 0.499665i | 0.0594770 | + | 0.0159368i | 0.288435 | − | 0.957500i | \(-0.406865\pi\) |
−0.228958 | + | 0.973436i | \(0.573532\pi\) | |||||||
\(984\) | −8.08186 | −0.257640 | ||||||||
\(985\) | −58.9454 | −1.87816 | ||||||||
\(986\) | −18.5688 | − | 4.97549i | −0.591350 | − | 0.158452i | ||||
\(987\) | −2.27399 | + | 5.00984i | −0.0723818 | + | 0.159465i | ||||
\(988\) | 6.13955 | − | 1.46955i | 0.195325 | − | 0.0467527i | ||||
\(989\) | −3.14154 | + | 5.44131i | −0.0998952 | + | 0.173024i | ||||
\(990\) | −9.83856 | + | 2.63623i | −0.312690 | + | 0.0837850i | ||||
\(991\) | −15.3885 | + | 26.6536i | −0.488831 | + | 0.846680i | −0.999917 | − | 0.0128495i | \(-0.995910\pi\) |
0.511087 | + | 0.859529i | \(0.329243\pi\) | |||||||
\(992\) | −4.79633 | − | 8.30749i | −0.152284 | − | 0.263763i | ||||
\(993\) | 0.593522 | + | 0.593522i | 0.0188349 | + | 0.0188349i | ||||
\(994\) | −15.0772 | − | 12.3905i | −0.478221 | − | 0.393004i | ||||
\(995\) | 87.3457 | − | 23.4042i | 2.76905 | − | 0.741963i | ||||
\(996\) | 6.22703 | − | 1.66853i | 0.197311 | − | 0.0528693i | ||||
\(997\) | − | 3.56965i | − | 0.113052i | −0.998401 | − | 0.0565259i | \(-0.981998\pi\) | ||
0.998401 | − | 0.0565259i | \(-0.0180024\pi\) | |||||||
\(998\) | 13.8006 | + | 7.96777i | 0.436850 | + | 0.252215i | ||||
\(999\) | 8.22157 | − | 8.22157i | 0.260119 | − | 0.260119i |
(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.cg.b.145.5 | yes | 40 | |
7.3 | odd | 6 | 546.2.by.b.535.5 | yes | 40 | ||
13.7 | odd | 12 | 546.2.by.b.397.5 | ✓ | 40 | ||
91.59 | even | 12 | inner | 546.2.cg.b.241.5 | yes | 40 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
546.2.by.b.397.5 | ✓ | 40 | 13.7 | odd | 12 | ||
546.2.by.b.535.5 | yes | 40 | 7.3 | odd | 6 | ||
546.2.cg.b.145.5 | yes | 40 | 1.1 | even | 1 | trivial | |
546.2.cg.b.241.5 | yes | 40 | 91.59 | even | 12 | inner |