Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [144,2,Mod(11,144)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(144, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 3, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("144.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 144 = 2^{4} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 144.u (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: | \(1.14984578911\) |
Analytic rank: | \(0\) |
Dimension: | \(88\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 11.18 | ||
Character | \(\chi\) | \(=\) | 144.11 |
Dual form | 144.2.u.a.131.18 |
$q$-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 \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).
\(n\) | \(37\) | \(65\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{1}{6}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.21908 | − | 0.716836i | 0.862017 | − | 0.506880i | ||||
\(3\) | −1.58764 | − | 0.692394i | −0.916622 | − | 0.399754i | ||||
\(4\) | 0.972292 | − | 1.74776i | 0.486146 | − | 0.873878i | ||||
\(5\) | −2.83365 | − | 0.759273i | −1.26725 | − | 0.339557i | −0.438270 | − | 0.898843i | \(-0.644409\pi\) |
−0.828975 | + | 0.559286i | \(0.811075\pi\) | |||||||
\(6\) | −2.43178 | + | 0.293995i | −0.992771 | + | 0.120023i | ||||
\(7\) | 1.41719 | − | 2.45465i | 0.535648 | − | 0.927769i | −0.463484 | − | 0.886105i | \(-0.653401\pi\) |
0.999132 | − | 0.0416640i | \(-0.0132659\pi\) | |||||||
\(8\) | −0.0675573 | − | 2.82762i | −0.0238851 | − | 0.999715i | ||||
\(9\) | 2.04118 | + | 2.19854i | 0.680394 | + | 0.732847i | ||||
\(10\) | −3.99870 | + | 1.10565i | −1.26450 | + | 0.349637i | ||||
\(11\) | 0.794578 | − | 0.212907i | 0.239574 | − | 0.0641937i | −0.137034 | − | 0.990566i | \(-0.543757\pi\) |
0.376608 | + | 0.926373i | \(0.377090\pi\) | |||||||
\(12\) | −2.75378 | + | 2.10159i | −0.794948 | + | 0.606677i | ||||
\(13\) | 3.22468 | + | 0.864050i | 0.894365 | + | 0.239644i | 0.676595 | − | 0.736356i | \(-0.263455\pi\) |
0.217770 | + | 0.976000i | \(0.430122\pi\) | |||||||
\(14\) | −0.0319166 | − | 4.00829i | −0.00853006 | − | 1.07126i | ||||
\(15\) | 3.97308 | + | 3.16745i | 1.02585 | + | 0.817832i | ||||
\(16\) | −2.10930 | − | 3.39866i | −0.527325 | − | 0.849664i | ||||
\(17\) | 7.28589i | 1.76709i | 0.468348 | + | 0.883544i | \(0.344849\pi\) | ||||
−0.468348 | + | 0.883544i | \(0.655151\pi\) | |||||||
\(18\) | 4.06435 | + | 1.21700i | 0.957976 | + | 0.286849i | ||||
\(19\) | −0.951758 | − | 0.951758i | −0.218348 | − | 0.218348i | 0.589454 | − | 0.807802i | \(-0.299343\pi\) |
−0.807802 | + | 0.589454i | \(0.799343\pi\) | |||||||
\(20\) | −4.08215 | + | 4.21429i | −0.912797 | + | 0.942343i | ||||
\(21\) | −3.94957 | + | 2.91583i | −0.861866 | + | 0.636287i | ||||
\(22\) | 0.816032 | − | 0.829132i | 0.173979 | − | 0.176771i | ||||
\(23\) | 5.13217 | − | 2.96306i | 1.07013 | − | 0.617841i | 0.141915 | − | 0.989879i | \(-0.454674\pi\) |
0.928218 | + | 0.372038i | \(0.121341\pi\) | |||||||
\(24\) | −1.85057 | + | 4.53601i | −0.377746 | + | 0.925909i | ||||
\(25\) | 3.12293 | + | 1.80302i | 0.624585 | + | 0.360605i | ||||
\(26\) | 4.55051 | − | 1.25822i | 0.892428 | − | 0.246758i | ||||
\(27\) | −1.71840 | − | 4.90379i | −0.330706 | − | 0.943734i | ||||
\(28\) | −2.91220 | − | 4.86354i | −0.550354 | − | 0.919122i | ||||
\(29\) | −1.76813 | + | 0.473770i | −0.328334 | + | 0.0879768i | −0.419221 | − | 0.907884i | \(-0.637697\pi\) |
0.0908866 | + | 0.995861i | \(0.471030\pi\) | |||||||
\(30\) | 7.11403 | + | 1.01331i | 1.29884 | + | 0.185004i | ||||
\(31\) | 2.05610 | − | 1.18709i | 0.369286 | − | 0.213207i | −0.303860 | − | 0.952717i | \(-0.598276\pi\) |
0.673147 | + | 0.739509i | \(0.264942\pi\) | |||||||
\(32\) | −5.00767 | − | 2.63120i | −0.885240 | − | 0.465134i | ||||
\(33\) | −1.40892 | − | 0.212143i | −0.245261 | − | 0.0369293i | ||||
\(34\) | 5.22279 | + | 8.88205i | 0.895701 | + | 1.52326i | ||||
\(35\) | −5.87957 | + | 5.87957i | −0.993828 | + | 0.993828i | ||||
\(36\) | 5.82713 | − | 1.42986i | 0.971189 | − | 0.238310i | ||||
\(37\) | 6.03704 | + | 6.03704i | 0.992483 | + | 0.992483i | 0.999972 | − | 0.00748933i | \(-0.00238395\pi\) |
−0.00748933 | + | 0.999972i | \(0.502384\pi\) | |||||||
\(38\) | −1.84252 | − | 0.478011i | −0.298896 | − | 0.0775436i | ||||
\(39\) | −4.52135 | − | 3.60455i | −0.723996 | − | 0.577189i | ||||
\(40\) | −1.95550 | + | 8.06377i | −0.309192 | + | 1.27499i | ||||
\(41\) | −4.60866 | − | 7.98243i | −0.719751 | − | 1.24665i | −0.961098 | − | 0.276207i | \(-0.910923\pi\) |
0.241347 | − | 0.970439i | \(-0.422411\pi\) | |||||||
\(42\) | −2.72465 | + | 6.38581i | −0.420422 | + | 0.985353i | ||||
\(43\) | 0.402483 | + | 1.50209i | 0.0613780 | + | 0.229066i | 0.989801 | − | 0.142460i | \(-0.0455013\pi\) |
−0.928423 | + | 0.371526i | \(0.878835\pi\) | |||||||
\(44\) | 0.400453 | − | 1.59574i | 0.0603706 | − | 0.240566i | ||||
\(45\) | −4.11469 | − | 7.77970i | −0.613382 | − | 1.15973i | ||||
\(46\) | 4.13248 | − | 7.29113i | 0.609301 | − | 1.07502i | ||||
\(47\) | −2.85832 | + | 4.95075i | −0.416928 | + | 0.722141i | −0.995629 | − | 0.0933994i | \(-0.970227\pi\) |
0.578701 | + | 0.815540i | \(0.303560\pi\) | |||||||
\(48\) | 0.995590 | + | 6.85630i | 0.143701 | + | 0.989621i | ||||
\(49\) | −0.516861 | − | 0.895230i | −0.0738373 | − | 0.127890i | ||||
\(50\) | 5.09956 | − | 0.0406059i | 0.721186 | − | 0.00574254i | ||||
\(51\) | 5.04471 | − | 11.5674i | 0.706401 | − | 1.61975i | ||||
\(52\) | 4.64548 | − | 4.79584i | 0.644212 | − | 0.665063i | ||||
\(53\) | 4.50856 | − | 4.50856i | 0.619298 | − | 0.619298i | −0.326053 | − | 0.945351i | \(-0.605719\pi\) |
0.945351 | + | 0.326053i | \(0.105719\pi\) | |||||||
\(54\) | −5.61007 | − | 4.74628i | −0.763433 | − | 0.645886i | ||||
\(55\) | −2.41321 | −0.325397 | ||||||||
\(56\) | −7.03655 | − | 3.84145i | −0.940299 | − | 0.513335i | ||||
\(57\) | 0.852054 | + | 2.17004i | 0.112857 | + | 0.287429i | ||||
\(58\) | −1.81587 | + | 1.84502i | −0.238436 | + | 0.242263i | ||||
\(59\) | −2.85508 | + | 10.6553i | −0.371700 | + | 1.38720i | 0.486407 | + | 0.873732i | \(0.338307\pi\) |
−0.858107 | + | 0.513471i | \(0.828360\pi\) | |||||||
\(60\) | 9.39892 | − | 3.86429i | 1.21340 | − | 0.498878i | ||||
\(61\) | −2.16531 | − | 8.08106i | −0.277240 | − | 1.03467i | −0.954325 | − | 0.298769i | \(-0.903424\pi\) |
0.677086 | − | 0.735904i | \(-0.263243\pi\) | |||||||
\(62\) | 1.65559 | − | 2.92104i | 0.210260 | − | 0.370972i | ||||
\(63\) | 8.28938 | − | 1.89463i | 1.04436 | − | 0.238700i | ||||
\(64\) | −7.99087 | + | 0.382053i | −0.998859 | + | 0.0477566i | ||||
\(65\) | −8.48155 | − | 4.89682i | −1.05201 | − | 0.607376i | ||||
\(66\) | −1.86965 | + | 0.751344i | −0.230138 | + | 0.0924841i | ||||
\(67\) | −2.99423 | + | 11.1746i | −0.365804 | + | 1.36520i | 0.500524 | + | 0.865723i | \(0.333141\pi\) |
−0.866328 | + | 0.499476i | \(0.833526\pi\) | |||||||
\(68\) | 12.7340 | + | 7.08401i | 1.54422 | + | 0.859063i | ||||
\(69\) | −10.1996 | + | 1.15078i | −1.22789 | + | 0.138538i | ||||
\(70\) | −2.95295 | + | 11.3823i | −0.352945 | + | 1.36045i | ||||
\(71\) | − | 2.98978i | − | 0.354821i | −0.984137 | − | 0.177411i | \(-0.943228\pi\) | ||
0.984137 | − | 0.177411i | \(-0.0567721\pi\) | |||||||
\(72\) | 6.07874 | − | 5.92021i | 0.716387 | − | 0.697704i | ||||
\(73\) | 12.7280i | 1.48970i | 0.667229 | + | 0.744852i | \(0.267480\pi\) | ||||
−0.667229 | + | 0.744852i | \(0.732520\pi\) | |||||||
\(74\) | 11.6872 | + | 3.03204i | 1.35861 | + | 0.352467i | ||||
\(75\) | −3.70967 | − | 5.02484i | −0.428356 | − | 0.580219i | ||||
\(76\) | −2.58883 | + | 0.738054i | −0.296959 | + | 0.0846606i | ||||
\(77\) | 0.603459 | − | 2.25214i | 0.0687705 | − | 0.256655i | ||||
\(78\) | −8.09574 | − | 1.15314i | −0.916662 | − | 0.130568i | ||||
\(79\) | −8.94529 | − | 5.16457i | −1.00642 | − | 0.581059i | −0.0962815 | − | 0.995354i | \(-0.530695\pi\) |
−0.910143 | + | 0.414295i | \(0.864028\pi\) | |||||||
\(80\) | 3.39650 | + | 11.2321i | 0.379740 | + | 1.25579i | ||||
\(81\) | −0.667162 | + | 8.97524i | −0.0741291 | + | 0.997249i | ||||
\(82\) | −11.3404 | − | 6.42753i | −1.25234 | − | 0.709802i | ||||
\(83\) | −1.00404 | − | 3.74713i | −0.110208 | − | 0.411301i | 0.888676 | − | 0.458536i | \(-0.151626\pi\) |
−0.998884 | + | 0.0472343i | \(0.984959\pi\) | |||||||
\(84\) | 1.25603 | + | 9.73792i | 0.137044 | + | 1.06249i | ||||
\(85\) | 5.53198 | − | 20.6456i | 0.600028 | − | 2.23933i | ||||
\(86\) | 1.56741 | + | 1.54264i | 0.169018 | + | 0.166347i | ||||
\(87\) | 3.13519 | + | 0.472070i | 0.336127 | + | 0.0506113i | ||||
\(88\) | −0.655698 | − | 2.23238i | −0.0698977 | − | 0.237973i | ||||
\(89\) | 9.25017 | 0.980516 | 0.490258 | − | 0.871577i | \(-0.336903\pi\) | ||||
0.490258 | + | 0.871577i | \(0.336903\pi\) | |||||||
\(90\) | −10.5929 | − | 6.53448i | −1.11659 | − | 0.688795i | ||||
\(91\) | 6.69092 | − | 6.69092i | 0.701399 | − | 0.701399i | ||||
\(92\) | −0.188738 | − | 11.8507i | −0.0196773 | − | 1.23553i | ||||
\(93\) | −4.08627 | + | 0.461036i | −0.423727 | + | 0.0478072i | ||||
\(94\) | 0.0643721 | + | 8.08428i | 0.00663948 | + | 0.833830i | ||||
\(95\) | 1.97430 | + | 3.41959i | 0.202559 | + | 0.350843i | ||||
\(96\) | 6.12854 | + | 7.64467i | 0.625492 | + | 0.780231i | ||||
\(97\) | 0.148868 | − | 0.257847i | 0.0151153 | − | 0.0261804i | −0.858369 | − | 0.513033i | \(-0.828522\pi\) |
0.873484 | + | 0.486853i | \(0.161855\pi\) | |||||||
\(98\) | −1.27183 | − | 0.720848i | −0.128474 | − | 0.0728167i | ||||
\(99\) | 2.08996 | + | 1.31233i | 0.210049 | + | 0.131894i | ||||
\(100\) | 6.18764 | − | 3.70505i | 0.618764 | − | 0.370505i | ||||
\(101\) | 2.11843 | + | 7.90610i | 0.210792 | + | 0.786687i | 0.987606 | + | 0.156956i | \(0.0501681\pi\) |
−0.776814 | + | 0.629731i | \(0.783165\pi\) | |||||||
\(102\) | −2.14201 | − | 17.7177i | −0.212091 | − | 1.75431i | ||||
\(103\) | −5.72414 | − | 9.91450i | −0.564016 | − | 0.976905i | −0.997140 | − | 0.0755707i | \(-0.975922\pi\) |
0.433124 | − | 0.901334i | \(-0.357411\pi\) | |||||||
\(104\) | 2.22535 | − | 9.17654i | 0.218214 | − | 0.899834i | ||||
\(105\) | 13.4056 | − | 5.26364i | 1.30825 | − | 0.513678i | ||||
\(106\) | 2.26438 | − | 8.72817i | 0.219936 | − | 0.847755i | ||||
\(107\) | −0.174948 | − | 0.174948i | −0.0169128 | − | 0.0169128i | 0.698600 | − | 0.715513i | \(-0.253807\pi\) |
−0.715513 | + | 0.698600i | \(0.753807\pi\) | |||||||
\(108\) | −10.2414 | − | 1.76457i | −0.985479 | − | 0.169796i | ||||
\(109\) | 1.50900 | − | 1.50900i | 0.144536 | − | 0.144536i | −0.631136 | − | 0.775672i | \(-0.717411\pi\) |
0.775672 | + | 0.631136i | \(0.217411\pi\) | |||||||
\(110\) | −2.94188 | + | 1.72987i | −0.280498 | + | 0.164937i | ||||
\(111\) | −5.40461 | − | 13.7646i | −0.512983 | − | 1.30648i | ||||
\(112\) | −11.3318 | + | 0.361037i | −1.07075 | + | 0.0341148i | ||||
\(113\) | −0.513633 | + | 0.296546i | −0.0483185 | + | 0.0278967i | −0.523965 | − | 0.851740i | \(-0.675548\pi\) |
0.475646 | + | 0.879637i | \(0.342214\pi\) | |||||||
\(114\) | 2.59428 | + | 2.03466i | 0.242977 | + | 0.190563i | ||||
\(115\) | −16.7925 | + | 4.49955i | −1.56591 | + | 0.419585i | ||||
\(116\) | −0.891107 | + | 3.55090i | −0.0827372 | + | 0.329693i | ||||
\(117\) | 4.68250 | + | 8.85327i | 0.432898 | + | 0.818485i | ||||
\(118\) | 4.15755 | + | 15.0363i | 0.382734 | + | 1.38420i | ||||
\(119\) | 17.8843 | + | 10.3255i | 1.63945 | + | 0.946537i | ||||
\(120\) | 8.68793 | − | 11.4484i | 0.793096 | − | 1.04509i | ||||
\(121\) | −8.94025 | + | 5.16166i | −0.812750 | + | 0.469242i | ||||
\(122\) | −8.43247 | − | 8.29925i | −0.763440 | − | 0.751378i | ||||
\(123\) | 1.78989 | + | 15.8642i | 0.161389 | + | 1.43043i | ||||
\(124\) | −0.0756140 | − | 4.74775i | −0.00679034 | − | 0.426361i | ||||
\(125\) | 2.89158 | + | 2.89158i | 0.258631 | + | 0.258631i | ||||
\(126\) | 8.74725 | − | 8.25182i | 0.779267 | − | 0.735131i | ||||
\(127\) | 14.1816i | 1.25841i | 0.777240 | + | 0.629205i | \(0.216619\pi\) | ||||
−0.777240 | + | 0.629205i | \(0.783381\pi\) | |||||||
\(128\) | −9.46761 | + | 6.19390i | −0.836826 | + | 0.547468i | ||||
\(129\) | 0.401039 | − | 2.66344i | 0.0353095 | − | 0.234503i | ||||
\(130\) | −13.8499 | + | 0.110281i | −1.21471 | + | 0.00967232i | ||||
\(131\) | 3.86197 | + | 1.03481i | 0.337422 | + | 0.0904119i | 0.423551 | − | 0.905872i | \(-0.360783\pi\) |
−0.0861298 | + | 0.996284i | \(0.527450\pi\) | |||||||
\(132\) | −1.74065 | + | 2.25618i | −0.151504 | + | 0.196375i | ||||
\(133\) | −3.68505 | + | 0.987407i | −0.319535 | + | 0.0856190i | ||||
\(134\) | 4.36018 | + | 15.7691i | 0.376662 | + | 1.36224i | ||||
\(135\) | 1.14602 | + | 15.2003i | 0.0986333 | + | 1.30824i | ||||
\(136\) | 20.6017 | − | 0.492215i | 1.76658 | − | 0.0422071i | ||||
\(137\) | 3.98207 | − | 6.89714i | 0.340211 | − | 0.589262i | −0.644261 | − | 0.764806i | \(-0.722835\pi\) |
0.984472 | + | 0.175543i | \(0.0561682\pi\) | |||||||
\(138\) | −11.6092 | + | 8.71436i | −0.988241 | + | 0.741815i | ||||
\(139\) | 10.3155 | + | 2.76404i | 0.874952 | + | 0.234443i | 0.668228 | − | 0.743957i | \(-0.267053\pi\) |
0.206724 | + | 0.978399i | \(0.433720\pi\) | |||||||
\(140\) | 4.55939 | + | 15.9927i | 0.385339 | + | 1.35163i | ||||
\(141\) | 7.96583 | − | 5.88091i | 0.670844 | − | 0.495262i | ||||
\(142\) | −2.14318 | − | 3.64476i | −0.179852 | − | 0.305862i | ||||
\(143\) | 2.74622 | 0.229651 | ||||||||
\(144\) | 3.16662 | − | 11.5746i | 0.263885 | − | 0.964554i | ||||
\(145\) | 5.36998 | 0.445953 | ||||||||
\(146\) | 9.12392 | + | 15.5164i | 0.755101 | + | 1.28415i | ||||
\(147\) | 0.200736 | + | 1.77917i | 0.0165564 | + | 0.146744i | ||||
\(148\) | 16.4210 | − | 4.68150i | 1.34980 | − | 0.384817i | ||||
\(149\) | 4.24117 | + | 1.13642i | 0.347450 | + | 0.0930990i | 0.428324 | − | 0.903625i | \(-0.359104\pi\) |
−0.0808734 | + | 0.996724i | \(0.525771\pi\) | |||||||
\(150\) | −8.12436 | − | 3.46644i | −0.663351 | − | 0.283033i | ||||
\(151\) | −6.93783 | + | 12.0167i | −0.564592 | + | 0.977903i | 0.432495 | + | 0.901636i | \(0.357633\pi\) |
−0.997087 | + | 0.0762664i | \(0.975700\pi\) | |||||||
\(152\) | −2.62691 | + | 2.75551i | −0.213071 | + | 0.223501i | ||||
\(153\) | −16.0183 | + | 14.8718i | −1.29501 | + | 1.20232i | ||||
\(154\) | −0.878752 | − | 3.17811i | −0.0708119 | − | 0.256099i | ||||
\(155\) | −6.72758 | + | 1.80265i | −0.540372 | + | 0.144792i | ||||
\(156\) | −10.6959 | + | 4.39755i | −0.856361 | + | 0.352086i | ||||
\(157\) | 6.01560 | + | 1.61187i | 0.480097 | + | 0.128642i | 0.490748 | − | 0.871302i | \(-0.336724\pi\) |
−0.0106509 | + | 0.999943i | \(0.503390\pi\) | |||||||
\(158\) | −14.6071 | + | 0.116311i | −1.16208 | + | 0.00925323i | ||||
\(159\) | −10.2797 | + | 4.03625i | −0.815229 | + | 0.320096i | ||||
\(160\) | 12.1922 | + | 11.2581i | 0.963876 | + | 0.890029i | ||||
\(161\) | − | 16.7969i | − | 1.32378i | ||||||
\(162\) | 5.62045 | + | 11.4197i | 0.441585 | + | 0.897220i | ||||
\(163\) | 3.39010 | + | 3.39010i | 0.265533 | + | 0.265533i | 0.827297 | − | 0.561764i | \(-0.189877\pi\) |
−0.561764 | + | 0.827297i | \(0.689877\pi\) | |||||||
\(164\) | −18.4323 | + | 0.293558i | −1.43932 | + | 0.0229230i | ||||
\(165\) | 3.83130 | + | 1.67089i | 0.298266 | + | 0.130079i | ||||
\(166\) | −3.91008 | − | 3.84831i | −0.303481 | − | 0.298687i | ||||
\(167\) | 8.58610 | − | 4.95718i | 0.664412 | − | 0.383598i | −0.129544 | − | 0.991574i | \(-0.541351\pi\) |
0.793956 | + | 0.607975i | \(0.208018\pi\) | |||||||
\(168\) | 8.51169 | + | 10.9709i | 0.656691 | + | 0.846423i | ||||
\(169\) | −1.60636 | − | 0.927433i | −0.123566 | − | 0.0713410i | ||||
\(170\) | −8.05564 | − | 29.1341i | −0.617839 | − | 2.23449i | ||||
\(171\) | 0.149769 | − | 4.03519i | 0.0114531 | − | 0.308579i | ||||
\(172\) | 3.01661 | + | 0.757024i | 0.230014 | + | 0.0577225i | ||||
\(173\) | −7.25249 | + | 1.94330i | −0.551396 | + | 0.147746i | −0.523751 | − | 0.851872i | \(-0.675468\pi\) |
−0.0276457 | + | 0.999618i | \(0.508801\pi\) | |||||||
\(174\) | 4.16043 | − | 1.67193i | 0.315401 | − | 0.126748i | ||||
\(175\) | 8.85157 | − | 5.11046i | 0.669116 | − | 0.386314i | ||||
\(176\) | −2.39960 | − | 2.25141i | −0.180877 | − | 0.169707i | ||||
\(177\) | 11.9105 | − | 14.9399i | 0.895248 | − | 1.12295i | ||||
\(178\) | 11.2767 | − | 6.63086i | 0.845221 | − | 0.497004i | ||||
\(179\) | −0.604756 | + | 0.604756i | −0.0452016 | + | 0.0452016i | −0.729346 | − | 0.684145i | \(-0.760176\pi\) |
0.684145 | + | 0.729346i | \(0.260176\pi\) | |||||||
\(180\) | −17.5977 | − | 0.372664i | −1.31165 | − | 0.0277767i | ||||
\(181\) | −10.1716 | − | 10.1716i | −0.756048 | − | 0.756048i | 0.219553 | − | 0.975601i | \(-0.429540\pi\) |
−0.975601 | + | 0.219553i | \(0.929540\pi\) | |||||||
\(182\) | 3.36045 | − | 12.9530i | 0.249093 | − | 0.960143i | ||||
\(183\) | −2.15755 | + | 14.3290i | −0.159490 | + | 1.05923i | ||||
\(184\) | −8.72513 | − | 14.3117i | −0.643225 | − | 1.05507i | ||||
\(185\) | −12.5231 | − | 21.6906i | −0.920714 | − | 1.59472i | ||||
\(186\) | −4.65099 | + | 3.49122i | −0.341027 | + | 0.255989i | ||||
\(187\) | 1.55121 | + | 5.78921i | 0.113436 | + | 0.423349i | ||||
\(188\) | 5.87358 | + | 9.80921i | 0.428375 | + | 0.715410i | ||||
\(189\) | −14.4724 | − | 2.73154i | −1.05271 | − | 0.198691i | ||||
\(190\) | 4.85811 | + | 2.75349i | 0.352444 | + | 0.199759i | ||||
\(191\) | 5.80282 | − | 10.0508i | 0.419877 | − | 0.727249i | −0.576049 | − | 0.817415i | \(-0.695406\pi\) |
0.995927 | + | 0.0901660i | \(0.0287398\pi\) | |||||||
\(192\) | 12.9511 | + | 4.92627i | 0.934668 | + | 0.355523i | ||||
\(193\) | 5.09572 | + | 8.82605i | 0.366798 | + | 0.635313i | 0.989063 | − | 0.147494i | \(-0.0471206\pi\) |
−0.622265 | + | 0.782807i | \(0.713787\pi\) | |||||||
\(194\) | −0.00335266 | − | 0.421049i | −0.000240707 | − | 0.0302296i | ||||
\(195\) | 10.0751 | + | 13.6470i | 0.721492 | + | 0.977278i | ||||
\(196\) | −2.06718 | + | 0.0329225i | −0.147656 | + | 0.00235161i | ||||
\(197\) | 4.32430 | − | 4.32430i | 0.308094 | − | 0.308094i | −0.536076 | − | 0.844170i | \(-0.680094\pi\) |
0.844170 | + | 0.536076i | \(0.180094\pi\) | |||||||
\(198\) | 3.48855 | + | 0.101672i | 0.247920 | + | 0.00722549i | ||||
\(199\) | −27.7260 | −1.96544 | −0.982720 | − | 0.185097i | \(-0.940740\pi\) | ||||
−0.982720 | + | 0.185097i | \(0.940740\pi\) | |||||||
\(200\) | 4.88729 | − | 8.95226i | 0.345583 | − | 0.633020i | ||||
\(201\) | 12.4910 | − | 15.6681i | 0.881047 | − | 1.10514i | ||||
\(202\) | 8.24991 | + | 8.11957i | 0.580462 | + | 0.571291i | ||||
\(203\) | −1.34284 | + | 5.01156i | −0.0942492 | + | 0.351743i | ||||
\(204\) | −15.3120 | − | 20.0638i | −1.07205 | − | 1.40474i | ||||
\(205\) | 6.99846 | + | 26.1186i | 0.488793 | + | 1.82420i | ||||
\(206\) | −14.0852 | − | 7.98326i | −0.981365 | − | 0.556220i | ||||
\(207\) | 16.9901 | + | 5.23515i | 1.18089 | + | 0.363868i | ||||
\(208\) | −3.86520 | − | 12.7821i | −0.268003 | − | 0.886280i | ||||
\(209\) | −0.958882 | − | 0.553611i | −0.0663272 | − | 0.0382940i | ||||
\(210\) | 12.5693 | − | 16.0264i | 0.867362 | − | 1.10593i | ||||
\(211\) | 5.10152 | − | 19.0391i | 0.351203 | − | 1.31071i | −0.533993 | − | 0.845489i | \(-0.679309\pi\) |
0.885196 | − | 0.465219i | \(-0.154024\pi\) | |||||||
\(212\) | −3.49622 | − | 12.2635i | −0.240122 | − | 0.842260i | ||||
\(213\) | −2.07010 | + | 4.74668i | −0.141841 | + | 0.325237i | ||||
\(214\) | −0.338683 | − | 0.0878656i | −0.0231519 | − | 0.00600637i | ||||
\(215\) | − | 4.56197i | − | 0.311124i | ||||||
\(216\) | −13.7500 | + | 5.19026i | −0.935566 | + | 0.353152i | ||||
\(217\) | − | 6.72933i | − | 0.456817i | ||||||
\(218\) | 0.757881 | − | 2.92130i | 0.0513302 | − | 0.197855i | ||||
\(219\) | 8.81282 | − | 20.2075i | 0.595515 | − | 1.36550i | ||||
\(220\) | −2.34634 | + | 4.21770i | −0.158190 | + | 0.284357i | ||||
\(221\) | −6.29538 | + | 23.4947i | −0.423473 | + | 1.58042i | ||||
\(222\) | −16.4556 | − | 12.9059i | −1.10443 | − | 0.866188i | ||||
\(223\) | −10.9074 | − | 6.29741i | −0.730416 | − | 0.421706i | 0.0881582 | − | 0.996106i | \(-0.471902\pi\) |
−0.818574 | + | 0.574401i | \(0.805235\pi\) | |||||||
\(224\) | −13.5555 | + | 8.56316i | −0.905714 | + | 0.572150i | ||||
\(225\) | 2.41044 | + | 10.5462i | 0.160696 | + | 0.703079i | ||||
\(226\) | −0.413582 | + | 0.729702i | −0.0275111 | + | 0.0485391i | ||||
\(227\) | −3.12014 | − | 11.6445i | −0.207091 | − | 0.772874i | −0.988802 | − | 0.149233i | \(-0.952320\pi\) |
0.781711 | − | 0.623641i | \(-0.214347\pi\) | |||||||
\(228\) | 4.62114 | + | 0.620727i | 0.306043 | + | 0.0411086i | ||||
\(229\) | 1.46608 | − | 5.47149i | 0.0968814 | − | 0.361566i | −0.900417 | − | 0.435029i | \(-0.856738\pi\) |
0.997298 | + | 0.0734624i | \(0.0234049\pi\) | |||||||
\(230\) | −17.2459 | + | 17.5228i | −1.13716 | + | 1.15542i | ||||
\(231\) | −2.51744 | + | 3.15775i | −0.165635 | + | 0.207764i | ||||
\(232\) | 1.45909 | + | 4.96760i | 0.0957940 | + | 0.326139i | ||||
\(233\) | −10.1291 | −0.663580 | −0.331790 | − | 0.943353i | \(-0.607653\pi\) | ||||
−0.331790 | + | 0.943353i | \(0.607653\pi\) | |||||||
\(234\) | 12.0547 | + | 7.43622i | 0.788038 | + | 0.486121i | ||||
\(235\) | 11.8584 | − | 11.8584i | 0.773558 | − | 0.773558i | ||||
\(236\) | 15.8469 | + | 15.3501i | 1.03155 | + | 0.999203i | ||||
\(237\) | 10.6260 | + | 14.3931i | 0.690230 | + | 0.934934i | ||||
\(238\) | 29.2040 | − | 0.232541i | 1.89301 | − | 0.0150734i | ||||
\(239\) | −0.263562 | − | 0.456503i | −0.0170484 | − | 0.0295287i | 0.857375 | − | 0.514692i | \(-0.172094\pi\) |
−0.874424 | + | 0.485163i | \(0.838760\pi\) | |||||||
\(240\) | 2.38465 | − | 20.1842i | 0.153929 | − | 1.30289i | ||||
\(241\) | 9.74338 | − | 16.8760i | 0.627626 | − | 1.08708i | −0.360400 | − | 0.932798i | \(-0.617360\pi\) |
0.988027 | − | 0.154283i | \(-0.0493068\pi\) | |||||||
\(242\) | −7.19878 | + | 12.7012i | −0.462755 | + | 0.816461i | ||||
\(243\) | 7.27361 | − | 13.7875i | 0.466603 | − | 0.884467i | ||||
\(244\) | −16.2290 | − | 4.07271i | −1.03896 | − | 0.260728i | ||||
\(245\) | 0.784878 | + | 2.92920i | 0.0501440 | + | 0.187140i | ||||
\(246\) | 13.5540 | + | 18.0566i | 0.864174 | + | 1.15125i | ||||
\(247\) | −2.24675 | − | 3.89148i | −0.142957 | − | 0.247609i | ||||
\(248\) | −3.49554 | − | 5.73367i | −0.221967 | − | 0.364088i | ||||
\(249\) | −1.00044 | + | 6.64428i | −0.0634003 | + | 0.421064i | ||||
\(250\) | 5.59785 | + | 1.45227i | 0.354039 | + | 0.0918494i | ||||
\(251\) | −17.9199 | − | 17.9199i | −1.13110 | − | 1.13110i | −0.989995 | − | 0.141101i | \(-0.954936\pi\) |
−0.141101 | − | 0.989995i | \(-0.545064\pi\) | |||||||
\(252\) | 4.74836 | − | 16.3299i | 0.299118 | − | 1.02869i | ||||
\(253\) | 3.44706 | − | 3.44706i | 0.216715 | − | 0.216715i | ||||
\(254\) | 10.1659 | + | 17.2884i | 0.637862 | + | 1.08477i | ||||
\(255\) | −23.0777 | + | 28.9475i | −1.44518 | + | 1.81276i | ||||
\(256\) | −7.10172 | + | 14.3376i | −0.443858 | + | 0.896097i | ||||
\(257\) | 14.6152 | − | 8.43809i | 0.911671 | − | 0.526353i | 0.0307025 | − | 0.999529i | \(-0.490226\pi\) |
0.880968 | + | 0.473175i | \(0.156892\pi\) | |||||||
\(258\) | −1.42036 | − | 3.53442i | −0.0884275 | − | 0.220043i | ||||
\(259\) | 23.3744 | − | 6.26316i | 1.45242 | − | 0.389174i | ||||
\(260\) | −16.8050 | + | 10.0625i | −1.04220 | + | 0.624052i | ||||
\(261\) | −4.65068 | − | 2.92026i | −0.287870 | − | 0.180760i | ||||
\(262\) | 5.44982 | − | 1.50688i | 0.336691 | − | 0.0930957i | ||||
\(263\) | −18.8065 | − | 10.8579i | −1.15966 | − | 0.669528i | −0.208435 | − | 0.978036i | \(-0.566837\pi\) |
−0.951222 | + | 0.308508i | \(0.900170\pi\) | |||||||
\(264\) | −0.504677 | + | 3.99821i | −0.0310607 | + | 0.246073i | ||||
\(265\) | −16.1989 | + | 9.35243i | −0.995090 | + | 0.574515i | ||||
\(266\) | −3.78455 | + | 3.84530i | −0.232046 | + | 0.235771i | ||||
\(267\) | −14.6859 | − | 6.40476i | −0.898763 | − | 0.391965i | ||||
\(268\) | 16.6193 | + | 16.0982i | 1.01518 | + | 0.983353i | ||||
\(269\) | 3.50729 | + | 3.50729i | 0.213843 | + | 0.213843i | 0.805898 | − | 0.592055i | \(-0.201683\pi\) |
−0.592055 | + | 0.805898i | \(0.701683\pi\) | |||||||
\(270\) | 12.2932 | + | 17.7088i | 0.748142 | + | 1.07773i | ||||
\(271\) | − | 2.25749i | − | 0.137133i | −0.997647 | − | 0.0685665i | \(-0.978157\pi\) | ||
0.997647 | − | 0.0685665i | \(-0.0218425\pi\) | |||||||
\(272\) | 24.7622 | − | 15.3681i | 1.50143 | − | 0.931829i | ||||
\(273\) | −15.2555 | + | 5.99000i | −0.923306 | + | 0.362531i | ||||
\(274\) | −0.0896801 | − | 11.2626i | −0.00541777 | − | 0.680400i | ||||
\(275\) | 2.86529 | + | 0.767751i | 0.172783 | + | 0.0462971i | ||||
\(276\) | −7.90574 | + | 18.9454i | −0.475870 | + | 1.14038i | ||||
\(277\) | −17.7581 | + | 4.75826i | −1.06698 | + | 0.285896i | −0.749251 | − | 0.662286i | \(-0.769586\pi\) |
−0.317727 | + | 0.948182i | \(0.602920\pi\) | |||||||
\(278\) | 14.5568 | − | 4.02498i | 0.873058 | − | 0.241402i | ||||
\(279\) | 6.80673 | + | 2.09735i | 0.407508 | + | 0.125565i | ||||
\(280\) | 17.0224 | + | 16.2280i | 1.01728 | + | 0.969807i | ||||
\(281\) | −4.38270 | + | 7.59106i | −0.261450 | + | 0.452845i | −0.966627 | − | 0.256186i | \(-0.917534\pi\) |
0.705177 | + | 0.709031i | \(0.250867\pi\) | |||||||
\(282\) | 5.49531 | − | 12.8795i | 0.327241 | − | 0.766961i | ||||
\(283\) | −15.6177 | − | 4.18474i | −0.928375 | − | 0.248757i | −0.237213 | − | 0.971458i | \(-0.576234\pi\) |
−0.691161 | + | 0.722700i | \(0.742901\pi\) | |||||||
\(284\) | −5.22540 | − | 2.90693i | −0.310070 | − | 0.172495i | ||||
\(285\) | −0.766769 | − | 6.79606i | −0.0454195 | − | 0.402564i | ||||
\(286\) | 3.34785 | − | 1.96859i | 0.197963 | − | 0.116405i | ||||
\(287\) | −26.1254 | −1.54213 | ||||||||
\(288\) | −4.43677 | − | 16.3803i | −0.261439 | − | 0.965220i | ||||
\(289\) | −36.0842 | −2.12260 | ||||||||
\(290\) | 6.54641 | − | 3.84940i | 0.384419 | − | 0.226044i | ||||
\(291\) | −0.414880 | + | 0.306292i | −0.0243207 | + | 0.0179552i | ||||
\(292\) | 22.2455 | + | 12.3754i | 1.30182 | + | 0.724214i | ||||
\(293\) | 12.1120 | + | 3.24540i | 0.707589 | + | 0.189598i | 0.594628 | − | 0.804001i | \(-0.297300\pi\) |
0.112962 | + | 0.993599i | \(0.463966\pi\) | |||||||
\(294\) | 1.52009 | + | 2.02505i | 0.0886533 | + | 0.118103i | ||||
\(295\) | 16.1806 | − | 28.0256i | 0.942070 | − | 1.63171i | ||||
\(296\) | 16.6626 | − | 17.4783i | 0.968494 | − | 1.01591i | ||||
\(297\) | −2.40945 | − | 3.53058i | −0.139810 | − | 0.204865i | ||||
\(298\) | 5.98494 | − | 1.65485i | 0.346698 | − | 0.0958626i | ||||
\(299\) | 19.1098 | − | 5.12047i | 1.10515 | − | 0.296124i | ||||
\(300\) | −12.3891 | + | 1.59799i | −0.715284 | + | 0.0922598i | ||||
\(301\) | 4.25749 | + | 1.14079i | 0.245397 | + | 0.0657540i | ||||
\(302\) | 0.156247 | + | 19.6225i | 0.00899099 | + | 1.12915i | ||||
\(303\) | 2.11084 | − | 14.0188i | 0.121264 | − | 0.805360i | ||||
\(304\) | −1.22716 | + | 5.24224i | −0.0703823 | + | 0.300663i | ||||
\(305\) | 24.5429i | 1.40532i | ||||||||
\(306\) | −8.86690 | + | 29.6124i | −0.506887 | + | 1.69283i | ||||
\(307\) | 18.9168 | + | 18.9168i | 1.07964 | + | 1.07964i | 0.996542 | + | 0.0830950i | \(0.0264805\pi\) |
0.0830950 | + | 0.996542i | \(0.473519\pi\) | |||||||
\(308\) | −3.34945 | − | 3.24443i | −0.190853 | − | 0.184869i | ||||
\(309\) | 2.22311 | + | 19.7040i | 0.126468 | + | 1.12092i | ||||
\(310\) | −6.90923 | + | 7.02014i | −0.392418 | + | 0.398717i | ||||
\(311\) | −5.08666 | + | 2.93678i | −0.288438 | + | 0.166530i | −0.637237 | − | 0.770668i | \(-0.719923\pi\) |
0.348799 | + | 0.937197i | \(0.386589\pi\) | |||||||
\(312\) | −9.88684 | + | 13.0282i | −0.559732 | + | 0.737576i | ||||
\(313\) | −14.3490 | − | 8.28438i | −0.811051 | − | 0.468261i | 0.0362694 | − | 0.999342i | \(-0.488453\pi\) |
−0.847321 | + | 0.531081i | \(0.821786\pi\) | |||||||
\(314\) | 8.48892 | − | 2.34720i | 0.479057 | − | 0.132460i | ||||
\(315\) | −24.9277 | − | 0.925208i | −1.40452 | − | 0.0521296i | ||||
\(316\) | −17.7238 | + | 10.6127i | −0.997044 | + | 0.597012i | ||||
\(317\) | −6.73750 | + | 1.80531i | −0.378416 | + | 0.101396i | −0.443013 | − | 0.896515i | \(-0.646090\pi\) |
0.0645973 | + | 0.997911i | \(0.479424\pi\) | |||||||
\(318\) | −9.63834 | + | 12.2893i | −0.540491 | + | 0.689151i | ||||
\(319\) | −1.30405 | + | 0.752894i | −0.0730128 | + | 0.0421540i | ||||
\(320\) | 22.9334 | + | 4.98465i | 1.28202 | + | 0.278651i | ||||
\(321\) | 0.156621 | + | 0.398886i | 0.00874171 | + | 0.0222636i | ||||
\(322\) | −12.0406 | − | 20.4767i | −0.670998 | − | 1.14112i | ||||
\(323\) | 6.93441 | − | 6.93441i | 0.385841 | − | 0.385841i | ||||
\(324\) | 15.0378 | + | 9.89258i | 0.835436 | + | 0.549588i | ||||
\(325\) | 8.51253 | + | 8.51253i | 0.472190 | + | 0.472190i | ||||
\(326\) | 6.56293 | + | 1.70264i | 0.363487 | + | 0.0943006i | ||||
\(327\) | −3.44058 | + | 1.35092i | −0.190264 | + | 0.0747063i | ||||
\(328\) | −22.2599 | + | 13.5708i | −1.22910 | + | 0.749322i | ||||
\(329\) | 8.10156 | + | 14.0323i | 0.446653 | + | 0.773626i | ||||
\(330\) | 5.86840 | − | 0.709470i | 0.323045 | − | 0.0390550i | ||||
\(331\) | 5.83736 | + | 21.7853i | 0.320850 | + | 1.19743i | 0.918418 | + | 0.395612i | \(0.129467\pi\) |
−0.597567 | + | 0.801819i | \(0.703866\pi\) | |||||||
\(332\) | −7.52530 | − | 1.88849i | −0.413004 | − | 0.103644i | ||||
\(333\) | −0.949988 | + | 25.5954i | −0.0520590 | + | 1.40262i | ||||
\(334\) | 6.91361 | − | 12.1980i | 0.378296 | − | 0.667445i | ||||
\(335\) | 16.9692 | − | 29.3915i | 0.927126 | − | 1.60583i | ||||
\(336\) | 18.2407 | + | 7.27286i | 0.995113 | + | 0.396767i | ||||
\(337\) | 5.04210 | + | 8.73317i | 0.274661 | + | 0.475726i | 0.970049 | − | 0.242908i | \(-0.0781012\pi\) |
−0.695389 | + | 0.718634i | \(0.744768\pi\) | |||||||
\(338\) | −2.62309 | + | 0.0208867i | −0.142677 | + | 0.00113609i | ||||
\(339\) | 1.02079 | − | 0.115171i | 0.0554416 | − | 0.00625523i | ||||
\(340\) | −30.7048 | − | 29.7421i | −1.66520 | − | 1.61299i | ||||
\(341\) | 1.38099 | − | 1.38099i | 0.0747849 | − | 0.0747849i | ||||
\(342\) | −2.70999 | − | 5.02656i | −0.146540 | − | 0.271805i | ||||
\(343\) | 16.9107 | 0.913093 | ||||||||
\(344\) | 4.22014 | − | 1.23954i | 0.227535 | − | 0.0668318i | ||||
\(345\) | 29.7759 | + | 4.48341i | 1.60308 | + | 0.241379i | ||||
\(346\) | −7.44831 | + | 7.56787i | −0.400423 | + | 0.406851i | ||||
\(347\) | −7.70540 | + | 28.7569i | −0.413647 | + | 1.54375i | 0.373882 | + | 0.927476i | \(0.378026\pi\) |
−0.787530 | + | 0.616277i | \(0.788640\pi\) | |||||||
\(348\) | 3.87338 | − | 5.02055i | 0.207635 | − | 0.269130i | ||||
\(349\) | −2.31845 | − | 8.65259i | −0.124104 | − | 0.463163i | 0.875702 | − | 0.482852i | \(-0.160399\pi\) |
−0.999806 | + | 0.0196892i | \(0.993732\pi\) | |||||||
\(350\) | 7.12737 | − | 12.5752i | 0.380974 | − | 0.672171i | ||||
\(351\) | −1.30416 | − | 17.2979i | −0.0696110 | − | 0.923294i | ||||
\(352\) | −4.53919 | − | 1.02453i | −0.241939 | − | 0.0546074i | ||||
\(353\) | 28.1794 | + | 16.2694i | 1.49984 | + | 0.865933i | 1.00000 | 0.000184008i | \(-5.85715e-5\pi\) | |
0.499841 | + | 0.866117i | \(0.333392\pi\) | |||||||
\(354\) | 3.81033 | − | 26.7508i | 0.202517 | − | 1.42179i | ||||
\(355\) | −2.27006 | + | 8.47197i | −0.120482 | + | 0.449645i | ||||
\(356\) | 8.99386 | − | 16.1670i | 0.476674 | − | 0.856851i | ||||
\(357\) | −21.2444 | − | 28.7761i | −1.12438 | − | 1.52299i | ||||
\(358\) | −0.303732 | + | 1.17075i | −0.0160528 | + | 0.0618763i | ||||
\(359\) | − | 0.581843i | − | 0.0307085i | −0.999882 | − | 0.0153542i | \(-0.995112\pi\) | ||
0.999882 | − | 0.0153542i | \(-0.00488760\pi\) | |||||||
\(360\) | −21.7201 | + | 12.1604i | −1.14475 | + | 0.640907i | ||||
\(361\) | − | 17.1883i | − | 0.904648i | ||||||
\(362\) | −19.6913 | − | 5.10857i | −1.03495 | − | 0.268500i | ||||
\(363\) | 17.7678 | − | 2.00466i | 0.932566 | − | 0.105217i | ||||
\(364\) | −5.18857 | − | 18.1996i | −0.271955 | − | 0.953920i | ||||
\(365\) | 9.66406 | − | 36.0668i | 0.505840 | − | 1.88782i | ||||
\(366\) | 7.64136 | + | 19.0148i | 0.399420 | + | 0.993919i | ||||
\(367\) | 3.68240 | + | 2.12603i | 0.192220 | + | 0.110978i | 0.593021 | − | 0.805187i | \(-0.297935\pi\) |
−0.400802 | + | 0.916165i | \(0.631268\pi\) | |||||||
\(368\) | −20.8957 | − | 11.1925i | −1.08926 | − | 0.583450i | ||||
\(369\) | 8.14259 | − | 26.4259i | 0.423886 | − | 1.37568i | ||||
\(370\) | −30.8152 | − | 17.4655i | −1.60200 | − | 0.907987i | ||||
\(371\) | −4.67743 | − | 17.4564i | −0.242840 | − | 0.906291i | ||||
\(372\) | −3.16727 | + | 7.59006i | −0.164215 | + | 0.393526i | ||||
\(373\) | −1.61385 | + | 6.02298i | −0.0835621 | + | 0.311858i | −0.995038 | − | 0.0994955i | \(-0.968277\pi\) |
0.911476 | + | 0.411353i | \(0.134944\pi\) | |||||||
\(374\) | 6.04096 | + | 5.94552i | 0.312371 | + | 0.307436i | ||||
\(375\) | −2.58867 | − | 6.59289i | −0.133678 | − | 0.340456i | ||||
\(376\) | 14.1919 | + | 7.74777i | 0.731893 | + | 0.399561i | ||||
\(377\) | −6.11102 | −0.314733 | ||||||||
\(378\) | −19.6010 | + | 7.04435i | −1.00817 | + | 0.362322i | ||||
\(379\) | −8.99791 | + | 8.99791i | −0.462192 | + | 0.462192i | −0.899373 | − | 0.437182i | \(-0.855977\pi\) |
0.437182 | + | 0.899373i | \(0.355977\pi\) | |||||||
\(380\) | 7.89620 | − | 0.125757i | 0.405067 | − | 0.00645120i | ||||
\(381\) | 9.81923 | − | 22.5152i | 0.503054 | − | 1.15349i | ||||
\(382\) | −0.130685 | − | 16.4123i | −0.00668644 | − | 0.839728i | ||||
\(383\) | 4.35960 | + | 7.55105i | 0.222765 | + | 0.385840i | 0.955647 | − | 0.294516i | \(-0.0951584\pi\) |
−0.732882 | + | 0.680356i | \(0.761825\pi\) | |||||||
\(384\) | 19.3197 | − | 3.27834i | 0.985907 | − | 0.167297i | ||||
\(385\) | −3.41998 | + | 5.92357i | −0.174298 | + | 0.301893i | ||||
\(386\) | 12.5389 | + | 7.10683i | 0.638213 | + | 0.361728i | ||||
\(387\) | −2.48086 | + | 3.95090i | −0.126109 | + | 0.200836i | ||||
\(388\) | −0.305910 | − | 0.510887i | −0.0155302 | − | 0.0259364i | ||||
\(389\) | 7.20893 | + | 26.9041i | 0.365507 | + | 1.36409i | 0.866732 | + | 0.498774i | \(0.166216\pi\) |
−0.501225 | + | 0.865317i | \(0.667117\pi\) | |||||||
\(390\) | 22.0649 | + | 9.41448i | 1.11730 | + | 0.476721i | ||||
\(391\) | 21.5886 | + | 37.3925i | 1.09178 | + | 1.89102i | ||||
\(392\) | −2.49645 | + | 1.52197i | −0.126090 | + | 0.0768709i | ||||
\(393\) | −5.41490 | − | 4.31691i | −0.273146 | − | 0.217759i | ||||
\(394\) | 2.17183 | − | 8.37146i | 0.109415 | − | 0.421748i | ||||
\(395\) | 21.4265 | + | 21.4265i | 1.07808 | + | 1.07808i | ||||
\(396\) | 4.32569 | − | 2.37677i | 0.217374 | − | 0.119437i | ||||
\(397\) | 3.82319 | − | 3.82319i | 0.191880 | − | 0.191880i | −0.604628 | − | 0.796508i | \(-0.706678\pi\) |
0.796508 | + | 0.604628i | \(0.206678\pi\) | |||||||
\(398\) | −33.8000 | + | 19.8750i | −1.69424 | + | 0.996242i | ||||
\(399\) | 6.53420 | + | 0.983866i | 0.327119 | + | 0.0492549i | ||||
\(400\) | −0.459330 | − | 14.4169i | −0.0229665 | − | 0.720843i | ||||
\(401\) | −24.9442 | + | 14.4015i | −1.24565 | + | 0.719178i | −0.970239 | − | 0.242148i | \(-0.922148\pi\) |
−0.275414 | + | 0.961326i | \(0.588815\pi\) | |||||||
\(402\) | 3.99604 | − | 28.0546i | 0.199305 | − | 1.39923i | ||||
\(403\) | 7.65596 | − | 2.05141i | 0.381371 | − | 0.102188i | ||||
\(404\) | 15.8777 | + | 3.98453i | 0.789944 | + | 0.198238i | ||||
\(405\) | 8.70516 | − | 24.9261i | 0.432563 | − | 1.23859i | ||||
\(406\) | 1.95544 | + | 7.07207i | 0.0970469 | + | 0.350981i | ||||
\(407\) | 6.08222 | + | 3.51157i | 0.301485 | + | 0.174062i | ||||
\(408\) | −33.0489 | − | 13.4831i | −1.63616 | − | 0.667511i | ||||
\(409\) | 9.11179 | − | 5.26069i | 0.450549 | − | 0.260125i | −0.257513 | − | 0.966275i | \(-0.582903\pi\) |
0.708062 | + | 0.706150i | \(0.249570\pi\) | |||||||
\(410\) | 27.2544 | + | 26.8238i | 1.34600 | + | 1.32473i | ||||
\(411\) | −11.0976 | + | 8.19299i | −0.547405 | + | 0.404131i | ||||
\(412\) | −22.8937 | + | 0.364611i | −1.12789 | + | 0.0179631i | ||||
\(413\) | 22.1088 | + | 22.1088i | 1.08790 | + | 1.08790i | ||||
\(414\) | 24.4650 | − | 5.79708i | 1.20239 | − | 0.284911i | ||||
\(415\) | 11.3804i | 0.558642i | ||||||||
\(416\) | −13.8747 | − | 12.8116i | −0.680261 | − | 0.628143i | ||||
\(417\) | −14.4635 | − | 11.5307i | −0.708281 | − | 0.564661i | ||||
\(418\) | −1.56580 | + | 0.0124679i | −0.0765857 | + | 0.000609823i | ||||
\(419\) | −12.4024 | − | 3.32320i | −0.605895 | − | 0.162349i | −0.0571875 | − | 0.998363i | \(-0.518213\pi\) |
−0.548708 | + | 0.836014i | \(0.684880\pi\) | |||||||
\(420\) | 3.83459 | − | 28.5475i | 0.187109 | − | 1.39297i | ||||
\(421\) | −9.21476 | + | 2.46909i | −0.449100 | + | 0.120336i | −0.476278 | − | 0.879295i | \(-0.658015\pi\) |
0.0271782 | + | 0.999631i | \(0.491348\pi\) | |||||||
\(422\) | −7.42880 | − | 26.8671i | −0.361628 | − | 1.30787i | ||||
\(423\) | −16.7188 | + | 3.82125i | −0.812894 | + | 0.185795i | ||||
\(424\) | −13.0531 | − | 12.4439i | −0.633913 | − | 0.604329i | ||||
\(425\) | −13.1366 | + | 22.7533i | −0.637220 | + | 1.10370i | ||||
\(426\) | 0.878978 | + | 7.27049i | 0.0425866 | + | 0.352256i | ||||
\(427\) | −22.9048 | − | 6.13732i | −1.10844 | − | 0.297006i | ||||
\(428\) | −0.475866 | + | 0.135666i | −0.0230018 | + | 0.00655764i | ||||
\(429\) | −4.36000 | − | 1.90147i | −0.210503 | − | 0.0918037i | ||||
\(430\) | −3.27019 | − | 5.56139i | −0.157702 | − | 0.268194i | ||||
\(431\) | −16.4451 | −0.792131 | −0.396065 | − | 0.918222i | \(-0.629625\pi\) | ||||
−0.396065 | + | 0.918222i | \(0.629625\pi\) | |||||||
\(432\) | −13.0417 | + | 16.1838i | −0.627468 | + | 0.778643i | ||||
\(433\) | −3.51715 | −0.169023 | −0.0845116 | − | 0.996422i | \(-0.526933\pi\) | ||||
−0.0845116 | + | 0.996422i | \(0.526933\pi\) | |||||||
\(434\) | −4.82383 | − | 8.20356i | −0.231551 | − | 0.393784i | ||||
\(435\) | −8.52558 | − | 3.71814i | −0.408770 | − | 0.178271i | ||||
\(436\) | −1.17018 | − | 4.10456i | −0.0560414 | − | 0.196573i | ||||
\(437\) | −7.70471 | − | 2.06447i | −0.368566 | − | 0.0987570i | ||||
\(438\) | −3.74198 | − | 30.9518i | −0.178799 | − | 1.47894i | ||||
\(439\) | 10.4483 | − | 18.0969i | 0.498668 | − | 0.863719i | −0.501331 | − | 0.865256i | \(-0.667156\pi\) |
0.999999 | + | 0.00153725i | \(0.000489321\pi\) | |||||||
\(440\) | 0.163030 | + | 6.82363i | 0.00777214 | + | 0.325304i | ||||
\(441\) | 0.913192 | − | 2.96367i | 0.0434854 | − | 0.141127i | ||||
\(442\) | 9.16728 | + | 33.1545i | 0.436043 | + | 1.57700i | ||||
\(443\) | 10.6793 | − | 2.86151i | 0.507389 | − | 0.135954i | 0.00396162 | − | 0.999992i | \(-0.498739\pi\) |
0.503427 | + | 0.864038i | \(0.332072\pi\) | |||||||
\(444\) | −29.3121 | − | 3.93729i | −1.39109 | − | 0.186856i | ||||
\(445\) | −26.2117 | − | 7.02341i | −1.24255 | − | 0.332941i | ||||
\(446\) | −17.8112 | + | 0.141824i | −0.843385 | + | 0.00671556i | ||||
\(447\) | −5.94659 | − | 4.74078i | −0.281264 | − | 0.224231i | ||||
\(448\) | −10.3868 | + | 20.1562i | −0.490730 | + | 0.952292i | ||||
\(449\) | − | 17.5860i | − | 0.829933i | −0.909837 | − | 0.414966i | \(-0.863793\pi\) | ||
0.909837 | − | 0.414966i | \(-0.136207\pi\) | |||||||
\(450\) | 10.4984 | + | 11.1287i | 0.494899 | + | 0.524612i | ||||
\(451\) | −5.36145 | − | 5.36145i | −0.252461 | − | 0.252461i | ||||
\(452\) | 0.0188891 | + | 1.18603i | 0.000888468 | + | 0.0557863i | ||||
\(453\) | 19.3350 | − | 14.2744i | 0.908439 | − | 0.670670i | ||||
\(454\) | −12.1509 | − | 11.9589i | −0.570270 | − | 0.561260i | ||||
\(455\) | −24.0399 | + | 13.8795i | −1.12701 | + | 0.650680i | ||||
\(456\) | 6.07848 | − | 2.55589i | 0.284651 | − | 0.119690i | ||||
\(457\) | 18.6606 | + | 10.7737i | 0.872905 | + | 0.503972i | 0.868313 | − | 0.496017i | \(-0.165205\pi\) |
0.00459262 | + | 0.999989i | \(0.498538\pi\) | |||||||
\(458\) | −2.13490 | − | 7.72110i | −0.0997572 | − | 0.360783i | ||||
\(459\) | 35.7285 | − | 12.5201i | 1.66766 | − | 0.584386i | ||||
\(460\) | −8.46314 | + | 33.7241i | −0.394596 | + | 1.57240i | ||||
\(461\) | −16.9925 | + | 4.55312i | −0.791419 | + | 0.212060i | −0.631813 | − | 0.775121i | \(-0.717689\pi\) |
−0.159606 | + | 0.987181i | \(0.551022\pi\) | |||||||
\(462\) | −0.805364 | + | 5.65412i | −0.0374689 | + | 0.263054i | ||||
\(463\) | 18.4389 | − | 10.6457i | 0.856930 | − | 0.494749i | −0.00605328 | − | 0.999982i | \(-0.501927\pi\) |
0.862983 | + | 0.505233i | \(0.168593\pi\) | |||||||
\(464\) | 5.33970 | + | 5.00995i | 0.247889 | + | 0.232581i | ||||
\(465\) | 11.9291 | + | 1.79618i | 0.553199 | + | 0.0832960i | ||||
\(466\) | −12.3481 | + | 7.26091i | −0.572017 | + | 0.336355i | ||||
\(467\) | −2.62864 | + | 2.62864i | −0.121639 | + | 0.121639i | −0.765306 | − | 0.643667i | \(-0.777412\pi\) |
0.643667 | + | 0.765306i | \(0.277412\pi\) | |||||||
\(468\) | 20.0261 | + | 0.424090i | 0.925707 | + | 0.0196036i | ||||
\(469\) | 23.1864 | + | 23.1864i | 1.07065 | + | 1.07065i | ||||
\(470\) | 5.95577 | − | 22.9569i | 0.274719 | − | 1.05892i | ||||
\(471\) | −8.43453 | − | 6.72423i | −0.388643 | − | 0.309836i | ||||
\(472\) | 30.3220 | + | 7.35324i | 1.39569 | + | 0.338460i | ||||
\(473\) | 0.639608 | + | 1.10783i | 0.0294092 | + | 0.0509382i | ||||
\(474\) | 23.2714 | + | 9.92924i | 1.06889 | + | 0.456065i | ||||
\(475\) | −1.25623 | − | 4.68831i | −0.0576398 | − | 0.215115i | ||||
\(476\) | 35.4352 | − | 21.2180i | 1.62417 | − | 0.972524i | ||||
\(477\) | 19.1150 | + | 0.709466i | 0.875217 | + | 0.0324842i | ||||
\(478\) | −0.648540 | − | 0.367581i | −0.0296635 | − | 0.0168127i | ||||
\(479\) | −10.7530 | + | 18.6247i | −0.491317 | + | 0.850986i | −0.999950 | − | 0.00999740i | \(-0.996818\pi\) |
0.508633 | + | 0.860983i | \(0.330151\pi\) | |||||||
\(480\) | −11.5617 | − | 26.3155i | −0.527718 | − | 1.20113i | ||||
\(481\) | 14.2512 | + | 24.6838i | 0.649799 | + | 1.12548i | ||||
\(482\) | −0.219431 | − | 27.5576i | −0.00999480 | − | 1.25521i | ||||
\(483\) | −11.6301 | + | 26.6674i | −0.529187 | + | 1.21341i | ||||
\(484\) | 0.328782 | + | 20.6440i | 0.0149446 | + | 0.938364i | ||||
\(485\) | −0.617616 | + | 0.617616i | −0.0280445 | + | 0.0280445i | ||||
\(486\) | −1.01628 | − | 22.0220i | −0.0460993 | − | 0.998937i | ||||
\(487\) | −14.6445 | −0.663607 | −0.331804 | − | 0.943348i | \(-0.607657\pi\) | ||||
−0.331804 | + | 0.943348i | \(0.607657\pi\) | |||||||
\(488\) | −22.7039 | + | 6.66862i | −1.02776 | + | 0.301874i | ||||
\(489\) | −3.03496 | − | 7.72953i | −0.137246 | − | 0.349541i | ||||
\(490\) | 3.05659 | + | 3.00829i | 0.138082 | + | 0.135901i | ||||
\(491\) | 11.3160 | − | 42.2317i | 0.510682 | − | 1.90589i | 0.0975209 | − | 0.995233i | \(-0.468909\pi\) |
0.413161 | − | 0.910658i | \(-0.364425\pi\) | |||||||
\(492\) | 29.4670 | + | 12.2963i | 1.32848 | + | 0.554362i | ||||
\(493\) | −3.45183 | − | 12.8824i | −0.155463 | − | 0.580195i | ||||
\(494\) | −5.52851 | − | 3.13346i | −0.248739 | − | 0.140981i | ||||
\(495\) | −4.92579 | − | 5.30553i | −0.221398 | − | 0.238466i | ||||
\(496\) | −8.37143 | − | 4.48405i | −0.375888 | − | 0.201340i | ||||
\(497\) | −7.33885 | − | 4.23708i | −0.329192 | − | 0.190059i | ||||
\(498\) | 3.54325 | + | 8.81703i | 0.158777 | + | 0.395101i | ||||
\(499\) | −2.12060 | + | 7.91419i | −0.0949311 | + | 0.354288i | −0.997009 | − | 0.0772856i | \(-0.975375\pi\) |
0.902078 | + | 0.431573i | \(0.142041\pi\) | |||||||
\(500\) | 7.86524 | − | 2.24232i | 0.351744 | − | 0.100279i | ||||
\(501\) | −17.0639 | + | 1.92525i | −0.762360 | + | 0.0860137i | ||||
\(502\) | −34.6914 | − | 9.00010i | −1.54835 | − | 0.401694i | ||||
\(503\) | 1.90408i | 0.0848988i | 0.999099 | + | 0.0424494i | \(0.0135161\pi\) | ||||
−0.999099 | + | 0.0424494i | \(0.986484\pi\) | |||||||
\(504\) | −5.91729 | − | 23.3112i | −0.263577 | − | 1.03836i | ||||
\(505\) | − | 24.0116i | − | 1.06850i | ||||||
\(506\) | 1.73125 | − | 6.67320i | 0.0769634 | − | 0.296660i | ||||
\(507\) | 1.90817 | + | 2.58466i | 0.0847447 | + | 0.114789i | ||||
\(508\) | 24.7859 | + | 13.7886i | 1.09970 | + | 0.611771i | ||||
\(509\) | −1.95009 | + | 7.27785i | −0.0864364 | + | 0.322585i | −0.995582 | − | 0.0938926i | \(-0.970069\pi\) |
0.909146 | + | 0.416478i | \(0.136736\pi\) | |||||||
\(510\) | −7.38287 | + | 51.8321i | −0.326919 | + | 2.29516i | ||||
\(511\) | 31.2428 | + | 18.0381i | 1.38210 | + | 0.797957i | ||||
\(512\) | 1.62014 | + | 22.5693i | 0.0716008 | + | 0.997433i | ||||
\(513\) | −3.03172 | + | 6.30272i | −0.133854 | + | 0.278272i | ||||
\(514\) | 11.7683 | − | 20.7634i | 0.519078 | − | 0.915833i | ||||
\(515\) | 8.69237 | + | 32.4404i | 0.383032 | + | 1.42949i | ||||
\(516\) | −4.26512 | − | 3.29056i | −0.187761 | − | 0.144859i | ||||
\(517\) | −1.21711 | + | 4.54231i | −0.0535284 | + | 0.199771i | ||||
\(518\) | 24.0055 | − | 24.3909i | 1.05474 | − | 1.07167i | ||||
\(519\) | 12.8598 | + | 1.93633i | 0.564484 | + | 0.0849954i | ||||
\(520\) | −13.2734 | + | 24.3134i | −0.582076 | + | 1.06621i | ||||
\(521\) | 29.5974 | 1.29669 | 0.648343 | − | 0.761349i | \(-0.275462\pi\) | ||||
0.648343 | + | 0.761349i | \(0.275462\pi\) | |||||||
\(522\) | −7.76288 | − | 0.226244i | −0.339772 | − | 0.00990245i | ||||
\(523\) | 29.1710 | − | 29.1710i | 1.27556 | − | 1.27556i | 0.332431 | − | 0.943128i | \(-0.392131\pi\) |
0.943128 | − | 0.332431i | \(-0.107869\pi\) | |||||||
\(524\) | 5.56355 | − | 5.74364i | 0.243045 | − | 0.250912i | ||||
\(525\) | −17.5915 | + | 1.98477i | −0.767757 | + | 0.0866226i | ||||
\(526\) | −30.7099 | + | 0.244531i | −1.33901 | + | 0.0106621i | ||||
\(527\) | 8.64900 | + | 14.9805i | 0.376756 | + | 0.652561i | ||||
\(528\) | 2.25082 | + | 5.23590i | 0.0979546 | + | 0.227863i | ||||
\(529\) | 6.05948 | − | 10.4953i | 0.263456 | − | 0.456318i | ||||
\(530\) | −13.0435 | + | 23.0133i | −0.566574 | + | 0.999632i | ||||
\(531\) | −29.2539 | + | 15.4724i | −1.26951 | + | 0.671445i | ||||
\(532\) | −1.85720 | + | 7.40062i | −0.0805198 | + | 0.320858i | ||||
\(533\) | −7.96422 | − | 29.7229i | −0.344969 | − | 1.28744i | ||||
\(534\) | −22.4944 | + | 2.71950i | −0.973428 | + | 0.117684i | ||||
\(535\) | 0.362907 | + | 0.628573i | 0.0156898 | + | 0.0271756i | ||||
\(536\) | 31.7999 | + | 7.71163i | 1.37355 | + | 0.333092i | ||||
\(537\) | 1.37886 | − | 0.541403i | 0.0595023 | − | 0.0233633i | ||||
\(538\) | 6.78980 | + | 1.76150i | 0.292729 | + | 0.0759436i | ||||
\(539\) | −0.601287 | − | 0.601287i | −0.0258993 | − | 0.0258993i | ||||
\(540\) | 27.6807 | + | 12.7762i | 1.19119 | + | 0.549800i | ||||
\(541\) | 7.87135 | − | 7.87135i | 0.338416 | − | 0.338416i | −0.517355 | − | 0.855771i | \(-0.673083\pi\) |
0.855771 | + | 0.517355i | \(0.173083\pi\) | |||||||
\(542\) | −1.61825 | − | 2.75206i | −0.0695099 | − | 0.118211i | ||||
\(543\) | 9.10603 | + | 23.1915i | 0.390777 | + | 0.995243i | ||||
\(544\) | 19.1706 | − | 36.4854i | 0.821934 | − | 1.56430i | ||||
\(545\) | −5.42173 | + | 3.13024i | −0.232241 | + | 0.134085i | ||||
\(546\) | −14.3038 | + | 18.2380i | −0.612145 | + | 0.780513i | ||||
\(547\) | 3.05052 | − | 0.817385i | 0.130431 | − | 0.0349488i | −0.193013 | − | 0.981196i | \(-0.561826\pi\) |
0.323444 | + | 0.946247i | \(0.395159\pi\) | |||||||
\(548\) | −8.18279 | − | 13.6657i | −0.349551 | − | 0.583770i | ||||
\(549\) | 13.3467 | − | 21.2554i | 0.569625 | − | 0.907159i | ||||
\(550\) | 4.04335 | − | 1.11799i | 0.172409 | − | 0.0476714i | ||||
\(551\) | 2.13375 | + | 1.23192i | 0.0909007 | + | 0.0524816i | ||||
\(552\) | 3.94303 | + | 28.7630i | 0.167826 | + | 1.22423i | ||||
\(553\) | −25.3544 | + | 14.6384i | −1.07818 | + | 0.622486i | ||||
\(554\) | −18.2375 | + | 18.5303i | −0.774838 | + | 0.787277i | ||||
\(555\) | 4.86364 | + | 43.1077i | 0.206450 | + | 1.82982i | ||||
\(556\) | 14.8606 | − | 15.3416i | 0.630229 | − | 0.650628i | ||||
\(557\) | −22.4110 | − | 22.4110i | −0.949583 | − | 0.949583i | 0.0492055 | − | 0.998789i | \(-0.484331\pi\) |
−0.998789 | + | 0.0492055i | \(0.984331\pi\) | |||||||
\(558\) | 9.80138 | − | 2.32248i | 0.414926 | − | 0.0983184i | ||||
\(559\) | 5.19151i | 0.219577i | ||||||||
\(560\) | 32.3844 | + | 7.58086i | 1.36849 | + | 0.320350i | ||||
\(561\) | 1.54565 | − | 10.2652i | 0.0652574 | − | 0.433398i | ||||
\(562\) | 0.0987029 | + | 12.3958i | 0.00416353 | + | 0.522884i | ||||
\(563\) | −30.2910 | − | 8.11646i | −1.27661 | − | 0.342068i | −0.444053 | − | 0.896000i | \(-0.646460\pi\) |
−0.832561 | + | 0.553933i | \(0.813127\pi\) | |||||||
\(564\) | −2.53327 | − | 19.6403i | −0.106670 | − | 0.827005i | ||||
\(565\) | 1.68061 | − | 0.450319i | 0.0707039 | − | 0.0189450i | ||||
\(566\) | −22.0389 | + | 6.09380i | −0.926365 | + | 0.256141i | ||||
\(567\) | 21.0855 | + | 14.3573i | 0.885510 | + | 0.602949i | ||||
\(568\) | −8.45395 | + | 0.201981i | −0.354720 | + | 0.00847494i | ||||
\(569\) | −2.78787 | + | 4.82873i | −0.116874 | + | 0.202431i | −0.918527 | − | 0.395358i | \(-0.870621\pi\) |
0.801654 | + | 0.597789i | \(0.203954\pi\) | |||||||
\(570\) | −5.80641 | − | 7.73527i | −0.243204 | − | 0.323995i | ||||
\(571\) | −20.1186 | − | 5.39076i | −0.841937 | − | 0.225596i | −0.188023 | − | 0.982165i | \(-0.560208\pi\) |
−0.653915 | + | 0.756568i | \(0.726874\pi\) | |||||||
\(572\) | 2.67013 | − | 4.79972i | 0.111644 | − | 0.200686i | ||||
\(573\) | −16.1719 | + | 11.9391i | −0.675590 | + | 0.498765i | ||||
\(574\) | −31.8488 | + | 18.7276i | −1.32934 | + | 0.781676i | ||||
\(575\) | 21.3699 | 0.891185 | ||||||||
\(576\) | −17.1508 | − | 16.7884i | −0.714616 | − | 0.699517i | ||||
\(577\) | 20.3551 | 0.847394 | 0.423697 | − | 0.905804i | \(-0.360732\pi\) | ||||
0.423697 | + | 0.905804i | \(0.360732\pi\) | |||||||
\(578\) | −43.9894 | + | 25.8665i | −1.82972 | + | 1.07590i | ||||
\(579\) | −1.97905 | − | 17.5408i | −0.0822465 | − | 0.728971i | ||||
\(580\) | 5.22119 | − | 9.38541i | 0.216798 | − | 0.389708i | ||||
\(581\) | −10.6208 | − | 2.84584i | −0.440626 | − | 0.118065i | ||||
\(582\) | −0.286209 | + | 0.670794i | −0.0118637 | + | 0.0278053i | ||||
\(583\) | 2.62250 | − | 4.54230i | 0.108613 | − | 0.188123i | ||||
\(584\) | 35.9901 | − | 0.859872i | 1.48928 | − | 0.0355818i | ||||
\(585\) | −6.54651 | − | 28.6423i | −0.270665 | − | 1.18421i | ||||
\(586\) | 17.0918 | − | 4.72592i | 0.706057 | − | 0.195226i | ||||
\(587\) | −30.5741 | + | 8.19230i | −1.26193 | + | 0.338132i | −0.826933 | − | 0.562301i | \(-0.809916\pi\) |
−0.434994 | + | 0.900433i | \(0.643250\pi\) | |||||||
\(588\) | 3.30473 | + | 1.37904i | 0.136285 | + | 0.0568705i | ||||
\(589\) | −3.08673 | − | 0.827087i | −0.127186 | − | 0.0340795i | ||||
\(590\) | −0.364403 | − | 45.7641i | −0.0150022 | − | 1.88408i | ||||
\(591\) | −9.85953 | + | 3.87130i | −0.405567 | + | 0.159244i | ||||
\(592\) | 7.78390 | − | 33.2517i | 0.319916 | − | 1.36664i | ||||
\(593\) | − | 18.8148i | − | 0.772633i | −0.922366 | − | 0.386317i | \(-0.873747\pi\) | ||
0.922366 | − | 0.386317i | \(-0.126253\pi\) | |||||||
\(594\) | −5.46815 | − | 2.57687i | −0.224361 | − | 0.105730i | ||||
\(595\) | −42.8379 | − | 42.8379i | −1.75618 | − | 1.75618i | ||||
\(596\) | 6.10984 | − | 6.30760i | 0.250269 | − | 0.258369i | ||||
\(597\) | 44.0187 | + | 19.1973i | 1.80157 | + | 0.785693i | ||||
\(598\) | 19.6258 | − | 19.9409i | 0.802559 | − | 0.815443i | ||||
\(599\) | 0.618276 | − | 0.356962i | 0.0252621 | − | 0.0145851i | −0.487316 | − | 0.873226i | \(-0.662024\pi\) |
0.512578 | + | 0.858641i | \(0.328691\pi\) | |||||||
\(600\) | −13.9577 | + | 10.8290i | −0.569822 | + | 0.442092i | ||||
\(601\) | 39.9427 | + | 23.0610i | 1.62930 | + | 0.940676i | 0.984302 | + | 0.176490i | \(0.0564742\pi\) |
0.644996 | + | 0.764186i | \(0.276859\pi\) | |||||||
\(602\) | 6.00796 | − | 1.66121i | 0.244866 | − | 0.0677059i | ||||
\(603\) | −30.6796 | + | 16.2265i | −1.24937 | + | 0.660794i | ||||
\(604\) | 14.2566 | + | 23.8093i | 0.580093 | + | 0.968788i | ||||
\(605\) | 29.2526 | − | 7.83822i | 1.18929 | − | 0.318669i | ||||
\(606\) | −7.47592 | − | 18.6031i | −0.303689 | − | 0.755700i | ||||
\(607\) | −25.9512 | + | 14.9830i | −1.05333 | + | 0.608139i | −0.923579 | − | 0.383408i | \(-0.874750\pi\) |
−0.129749 | + | 0.991547i | \(0.541417\pi\) | |||||||
\(608\) | 2.26183 | + | 7.27036i | 0.0917293 | + | 0.294852i | ||||
\(609\) | 5.60193 | − | 7.02676i | 0.227001 | − | 0.284739i | ||||
\(610\) | 17.5933 | + | 29.9197i | 0.712330 | + | 1.21141i | ||||
\(611\) | −13.4948 | + | 13.4948i | −0.545943 | + | 0.545943i | ||||
\(612\) | 10.4178 | + | 42.4559i | 0.421115 | + | 1.71618i | ||||
\(613\) | −4.31839 | − | 4.31839i | −0.174418 | − | 0.174418i | 0.614499 | − | 0.788917i | \(-0.289358\pi\) |
−0.788917 | + | 0.614499i | \(0.789358\pi\) | |||||||
\(614\) | 36.6212 | + | 9.50075i | 1.47791 | + | 0.383419i | ||||
\(615\) | 6.97336 | − | 46.3125i | 0.281193 | − | 1.86750i | ||||
\(616\) | −6.40896 | − | 1.55420i | −0.258224 | − | 0.0626206i | ||||
\(617\) | 14.3245 | + | 24.8108i | 0.576683 | + | 0.998844i | 0.995857 | + | 0.0909377i | \(0.0289864\pi\) |
−0.419174 | + | 0.907906i | \(0.637680\pi\) | |||||||
\(618\) | 16.8347 | + | 22.4271i | 0.677190 | + | 0.902148i | ||||
\(619\) | 8.44181 | + | 31.5053i | 0.339305 | + | 1.26630i | 0.899126 | + | 0.437690i | \(0.144203\pi\) |
−0.559821 | + | 0.828614i | \(0.689130\pi\) | |||||||
\(620\) | −3.39058 | + | 13.5109i | −0.136169 | + | 0.542609i | ||||
\(621\) | −23.3493 | − | 20.0754i | −0.936977 | − | 0.805597i | ||||
\(622\) | −4.09583 | + | 7.22646i | −0.164228 | + | 0.289755i | ||||
\(623\) | 13.1093 | − | 22.7059i | 0.525211 | − | 0.909693i | ||||
\(624\) | −2.71373 | + | 22.9696i | −0.108636 | + | 0.919520i | ||||
\(625\) | −15.0133 | − | 26.0039i | −0.600533 | − | 1.04015i | ||||
\(626\) | −23.4310 | + | 0.186573i | −0.936492 | + | 0.00745694i | ||||
\(627\) | 1.13904 | + | 1.54286i | 0.0454888 | + | 0.0616158i | ||||
\(628\) | 8.66607 | − | 8.94658i | 0.345814 | − | 0.357007i | ||||
\(629\) | −43.9852 | + | 43.9852i | −1.75380 | + | 1.75380i | ||||
\(630\) | −31.0520 | + | 16.7412i | −1.23714 | + | 0.666985i | ||||
\(631\) | 19.5062 | 0.776529 | 0.388265 | − | 0.921548i | \(-0.373075\pi\) | ||||
0.388265 | + | 0.921548i | \(0.373075\pi\) | |||||||
\(632\) | −13.9991 | + | 25.6428i | −0.556855 | + | 1.02002i | ||||
\(633\) | −21.2819 | + | 26.6950i | −0.845881 | + | 1.06103i | ||||
\(634\) | −6.91941 | + | 7.03049i | −0.274805 | + | 0.279216i | ||||
\(635\) | 10.7677 | − | 40.1855i | 0.427302 | − | 1.59471i | ||||
\(636\) | −2.94043 | + | 21.8907i | −0.116596 | + | 0.868024i | ||||
\(637\) | −0.893188 | − | 3.33342i | −0.0353894 | − | 0.132075i | ||||
\(638\) | −1.05003 | + | 1.85263i | −0.0415713 | + | 0.0733461i | ||||
\(639\) | 6.57315 | − | 6.10267i | 0.260030 | − | 0.241418i | ||||
\(640\) | 31.5307 | − | 10.3628i | 1.24636 | − | 0.409626i | ||||
\(641\) | 0.569361 | + | 0.328721i | 0.0224884 | + | 0.0129837i | 0.511202 | − | 0.859461i | \(-0.329200\pi\) |
−0.488714 | + | 0.872444i | \(0.662534\pi\) | |||||||
\(642\) | 0.476868 | + | 0.374001i | 0.0188205 | + | 0.0147606i | ||||
\(643\) | −6.29265 | + | 23.4845i | −0.248158 | + | 0.926138i | 0.723612 | + | 0.690207i | \(0.242481\pi\) |
−0.971770 | + | 0.235931i | \(0.924186\pi\) | |||||||
\(644\) | −29.3569 | − | 16.3315i | −1.15682 | − | 0.643551i | ||||
\(645\) | −3.15868 | + | 7.24276i | −0.124373 | + | 0.285183i | ||||
\(646\) | 3.48273 | − | 13.4244i | 0.137026 | − | 0.528176i | ||||
\(647\) | 21.5984i | 0.849122i | 0.905399 | + | 0.424561i | \(0.139572\pi\) | ||||
−0.905399 | + | 0.424561i | \(0.860428\pi\) | |||||||
\(648\) | 25.4236 | + | 1.28014i | 0.998735 | + | 0.0502886i | ||||
\(649\) | 9.07434i | 0.356199i | ||||||||
\(650\) | 16.4795 | + | 4.27533i | 0.646380 | + | 0.167692i | ||||
\(651\) | −4.65935 | + | 10.6837i | −0.182614 | + | 0.418728i | ||||
\(652\) | 9.22123 | − | 2.62890i | 0.361131 | − | 0.102956i | ||||
\(653\) | 10.2092 | − | 38.1014i | 0.399519 | − | 1.49102i | −0.414427 | − | 0.910082i | \(-0.636018\pi\) |
0.813946 | − | 0.580941i | \(-0.197315\pi\) | |||||||
\(654\) | −3.22593 | + | 4.11321i | −0.126144 | + | 0.160839i | ||||
\(655\) | −10.1577 | − | 5.86458i | −0.396896 | − | 0.229148i | ||||
\(656\) | −17.4085 | + | 32.5005i | −0.679687 | + | 1.26893i | ||||
\(657\) | −27.9831 | + | 25.9802i | −1.09173 | + | 1.01359i | ||||
\(658\) | 19.9353 | + | 11.2990i | 0.777158 | + | 0.440479i | ||||
\(659\) | 3.62321 | + | 13.5220i | 0.141140 | + | 0.526742i | 0.999897 | + | 0.0143586i | \(0.00457065\pi\) |
−0.858757 | + | 0.512383i | \(0.828763\pi\) | |||||||
\(660\) | 6.64545 | − | 5.07158i | 0.258674 | − | 0.197411i | ||||
\(661\) | 10.7578 | − | 40.1488i | 0.418432 | − | 1.56161i | −0.359430 | − | 0.933172i | \(-0.617029\pi\) |
0.777861 | − | 0.628436i | \(-0.216305\pi\) | |||||||
\(662\) | 22.7327 | + | 22.3735i | 0.883532 | + | 0.869572i | ||||
\(663\) | 26.2623 | − | 32.9421i | 1.01994 | − | 1.27937i | ||||
\(664\) | −10.5276 | + | 3.09219i | −0.408552 | + | 0.120000i | ||||
\(665\) | 11.1918 | 0.434001 | ||||||||
\(666\) | 17.1896 | + | 31.8837i | 0.666082 | + | 1.23547i | ||||
\(667\) | −7.67055 | + | 7.67055i | −0.297005 | + | 0.297005i | ||||
\(668\) | −0.315758 | − | 19.8262i | −0.0122170 | − | 0.767100i | ||||
\(669\) | 12.9568 | + | 17.5503i | 0.500937 | + | 0.678532i | ||||
\(670\) | −0.382163 | − | 47.9946i | −0.0147643 | − | 1.85419i | ||||
\(671\) | −3.44102 | − | 5.96002i | −0.132839 | − | 0.230084i | ||||
\(672\) | 27.4503 | − | 4.20945i | 1.05892 | − | 0.162383i | ||||
\(673\) | 2.88063 | − | 4.98940i | 0.111040 | − | 0.192327i | −0.805150 | − | 0.593072i | \(-0.797915\pi\) |
0.916190 | + | 0.400744i | \(0.131248\pi\) | |||||||
\(674\) | 12.4070 | + | 7.03204i | 0.477898 | + | 0.270864i | ||||
\(675\) | 3.47521 | − | 18.4125i | 0.133761 | − | 0.708696i | ||||
\(676\) | −3.18278 | + | 1.90579i | −0.122414 | + | 0.0732996i | ||||
\(677\) | −7.27316 | − | 27.1438i | −0.279530 | − | 1.04322i | −0.952744 | − | 0.303773i | \(-0.901754\pi\) |
0.673214 | − | 0.739447i | \(-0.264913\pi\) | |||||||
\(678\) | 1.16186 | − | 0.872140i | 0.0446210 | − | 0.0334943i | ||||
\(679\) | −0.421949 | − | 0.730837i | −0.0161929 | − | 0.0280469i | ||||
\(680\) | −58.7518 | − | 14.2476i | −2.25303 | − | 0.546370i | ||||
\(681\) | −3.10895 | + | 20.6476i | −0.119135 | + | 0.791219i | ||||
\(682\) | 0.693589 | − | 2.67348i | 0.0265589 | − | 0.102373i | ||||
\(683\) | −4.50875 | − | 4.50875i | −0.172522 | − | 0.172522i | 0.615564 | − | 0.788087i | \(-0.288928\pi\) |
−0.788087 | + | 0.615564i | \(0.788928\pi\) | |||||||
\(684\) | −6.90691 | − | 4.18514i | −0.264092 | − | 0.160023i | ||||
\(685\) | −16.5206 | + | 16.5206i | −0.631219 | + | 0.631219i | ||||
\(686\) | 20.6154 | − | 12.1222i | 0.787101 | − | 0.462828i | ||||
\(687\) | −6.11603 | + | 7.67163i | −0.233341 | + | 0.292691i | ||||
\(688\) | 4.25612 | − | 4.53625i | 0.162263 | − | 0.172943i | ||||
\(689\) | 18.4343 | − | 10.6430i | 0.702290 | − | 0.405467i | ||||
\(690\) | 39.5130 | − | 15.8788i | 1.50423 | − | 0.604497i | ||||
\(691\) | 9.90941 | − | 2.65522i | 0.376972 | − | 0.101009i | −0.0653578 | − | 0.997862i | \(-0.520819\pi\) |
0.442329 | + | 0.896853i | \(0.354152\pi\) | |||||||
\(692\) | −3.65512 | + | 14.5650i | −0.138947 | + | 0.553679i | ||||
\(693\) | 6.18319 | − | 3.27029i | 0.234880 | − | 0.124228i | ||||
\(694\) | 11.2205 | + | 40.5804i | 0.425926 | + | 1.54041i | ||||
\(695\) | −27.1319 | − | 15.6646i | −1.02917 | − | 0.594193i | ||||
\(696\) | 1.12303 | − | 8.89701i | 0.0425684 | − | 0.337240i | ||||
\(697\) | 58.1591 | − | 33.5782i | 2.20293 | − | 1.27186i | ||||
\(698\) | −9.02886 | − | 8.88621i | −0.341748 | − | 0.336348i | ||||
\(699\) | 16.0813 | + | 7.01333i | 0.608252 | + | 0.265269i | ||||
\(700\) | −0.325521 | − | 20.4392i | −0.0123035 | − | 0.772530i | ||||
\(701\) | −16.5518 | − | 16.5518i | −0.625154 | − | 0.625154i | 0.321691 | − | 0.946845i | \(-0.395749\pi\) |
−0.946845 | + | 0.321691i | \(0.895749\pi\) | |||||||
\(702\) | −13.9896 | − | 20.1526i | −0.528005 | − | 0.760611i | ||||
\(703\) | − | 11.4916i | − | 0.433414i | ||||||
\(704\) | −6.26803 | + | 2.00488i | −0.236235 | + | 0.0755618i | ||||
\(705\) | −27.0376 | + | 10.6162i | −1.01829 | + | 0.399828i | ||||
\(706\) | 46.0154 | − | 0.366403i | 1.73181 | − | 0.0137898i | ||||
\(707\) | 22.4089 | + | 6.00445i | 0.842774 | + | 0.225821i | ||||
\(708\) | −14.5308 | − | 35.3426i | −0.546102 | − | 1.32826i | ||||
\(709\) | −40.2743 | + | 10.7915i | −1.51253 | + | 0.405282i | −0.917276 | − | 0.398253i | \(-0.869617\pi\) |
−0.595257 | + | 0.803535i | \(0.702950\pi\) | |||||||
\(710\) | 3.30564 | + | 11.9552i | 0.124059 | + | 0.448672i | ||||
\(711\) | −6.90445 | − | 30.2084i | −0.258937 | − | 1.13290i | ||||
\(712\) | −0.624916 | − | 26.1560i | −0.0234197 | − | 0.980236i | ||||
\(713\) | 7.03484 | − | 12.1847i | 0.263457 | − | 0.456320i | ||||
\(714\) | −46.5264 | − | 19.8515i | −1.74121 | − | 0.742923i | ||||
\(715\) | −7.78182 | − | 2.08513i | −0.291023 | − | 0.0779795i | ||||
\(716\) | 0.468966 | + | 1.64496i | 0.0175261 | + | 0.0614752i | ||||
\(717\) | 0.102361 | + | 0.907249i | 0.00382274 | + | 0.0338818i | ||||
\(718\) | −0.417086 | − | 0.709311i | −0.0155655 | − | 0.0264712i | ||||
\(719\) | 26.8494 | 1.00131 | 0.500656 | − | 0.865646i | \(-0.333092\pi\) | ||||
0.500656 | + | 0.865646i | \(0.333092\pi\) | |||||||
\(720\) | −17.7614 | + | 30.3941i | −0.661929 | + | 1.13272i | ||||
\(721\) | −32.4488 | −1.20846 | ||||||||
\(722\) | −12.3212 | − | 20.9539i | −0.458548 | − | 0.779822i | ||||
\(723\) | −27.1538 | + | 20.0467i | −1.00986 | + | 0.745547i | ||||
\(724\) | −27.6672 | + | 7.88769i | −1.02824 | + | 0.293144i | ||||
\(725\) | −6.37597 | − | 1.70843i | −0.236797 | − | 0.0634497i | ||||
\(726\) | 20.2233 | − | 15.1804i | 0.750555 | − | 0.563398i | ||||
\(727\) | −12.1681 | + | 21.0758i | −0.451290 | + | 0.781657i | −0.998466 | − | 0.0553600i | \(-0.982369\pi\) |
0.547176 | + | 0.837017i | \(0.315703\pi\) | |||||||
\(728\) | −19.3714 | − | 18.4674i | −0.717952 | − | 0.684446i | ||||
\(729\) | −21.0942 | + | 16.8533i | −0.781268 | + | 0.624196i | ||||
\(730\) | −14.0727 | − | 50.8957i | −0.520856 | − | 1.88373i | ||||
\(731\) | −10.9440 | + | 2.93245i | −0.404780 | + | 0.108460i | ||||
\(732\) | 22.9459 | + | 17.7029i | 0.848104 | + | 0.654317i | ||||
\(733\) | −21.8512 | − | 5.85501i | −0.807093 | − | 0.216260i | −0.168397 | − | 0.985719i | \(-0.553859\pi\) |
−0.638696 | + | 0.769459i | \(0.720526\pi\) | |||||||
\(734\) | 6.01314 | − | 0.0478804i | 0.221949 | − | 0.00176730i | ||||
\(735\) | 0.782063 | − | 5.19396i | 0.0288468 | − | 0.191582i | ||||
\(736\) | −33.4967 | + | 1.33428i | −1.23470 | + | 0.0491824i | ||||
\(737\) | 9.51661i | 0.350549i | ||||||||
\(738\) | −9.01660 | − | 38.0521i | −0.331906 | − | 1.40072i | ||||
\(739\) | −12.6742 | − | 12.6742i | −0.466230 | − | 0.466230i | 0.434461 | − | 0.900691i | \(-0.356939\pi\) |
−0.900691 | + | 0.434461i | \(0.856939\pi\) | |||||||
\(740\) | −50.0859 | + | 0.797682i | −1.84119 | + | 0.0293234i | ||||
\(741\) | 0.872580 | + | 7.73389i | 0.0320550 | + | 0.284112i | ||||
\(742\) | −18.2155 | − | 17.9277i | −0.668713 | − | 0.658148i | ||||
\(743\) | 25.2864 | − | 14.5991i | 0.927667 | − | 0.535589i | 0.0415943 | − | 0.999135i | \(-0.486756\pi\) |
0.886073 | + | 0.463546i | \(0.153423\pi\) | |||||||
\(744\) | 1.57969 | + | 11.5233i | 0.0579143 | + | 0.422464i | ||||
\(745\) | −11.1551 | − | 6.44042i | −0.408692 | − | 0.235959i | ||||
\(746\) | 2.35008 | + | 8.49933i | 0.0860426 | + | 0.311183i | ||||
\(747\) | 6.18880 | − | 9.85601i | 0.226436 | − | 0.360612i | ||||
\(748\) | 11.6264 | + | 2.91766i | 0.425102 | + | 0.106680i | ||||
\(749\) | −0.677369 | + | 0.181500i | −0.0247505 | + | 0.00663188i | ||||
\(750\) | −7.88181 | − | 6.18159i | −0.287803 | − | 0.225720i | ||||
\(751\) | 23.9864 | − | 13.8486i | 0.875277 | − | 0.505341i | 0.00617885 | − | 0.999981i | \(-0.498033\pi\) |
0.869098 | + | 0.494639i | \(0.164700\pi\) | |||||||
\(752\) | 22.8549 | − | 0.728172i | 0.833433 | − | 0.0265537i | ||||
\(753\) | 16.0427 | + | 40.8580i | 0.584628 | + | 1.48895i | ||||
\(754\) | −7.44980 | + | 4.38060i | −0.271306 | + | 0.159532i | ||||
\(755\) | 28.7833 | − | 28.7833i | 1.04753 | − | 1.04753i | ||||
\(756\) | −18.8454 | + | 22.6383i | −0.685401 | + | 0.823347i | ||||
\(757\) | −6.84906 | − | 6.84906i | −0.248933 | − | 0.248933i | 0.571599 | − | 0.820533i | \(-0.306323\pi\) |
−0.820533 | + | 0.571599i | \(0.806323\pi\) | |||||||
\(758\) | −4.51911 | + | 17.4192i | −0.164141 | + | 0.632693i | ||||
\(759\) | −7.85940 | + | 3.08595i | −0.285278 | + | 0.112013i | ||||
\(760\) | 9.53592 | − | 5.81359i | 0.345904 | − | 0.210881i | ||||
\(761\) | 6.92685 | + | 11.9977i | 0.251098 | + | 0.434915i | 0.963828 | − | 0.266523i | \(-0.0858750\pi\) |
−0.712730 | + | 0.701438i | \(0.752542\pi\) | |||||||
\(762\) | −4.16930 | − | 34.4865i | −0.151038 | − | 1.24931i | ||||
\(763\) | −1.56553 | − | 5.84262i | −0.0566758 | − | 0.211517i | ||||
\(764\) | −11.9243 | − | 19.9142i | −0.431405 | − | 0.720470i | ||||
\(765\) | 56.6821 | − | 29.9792i | 2.04934 | − | 1.08390i | ||||
\(766\) | 10.7275 | + | 6.08018i | 0.387602 | + | 0.219686i | ||||
\(767\) | −18.4134 | + | 31.8930i | −0.664871 | + | 1.15159i | ||||
\(768\) | 21.2022 | − | 17.8456i | 0.765068 | − | 0.643949i | ||||
\(769\) | 5.15368 | + | 8.92644i | 0.185846 | + | 0.321896i | 0.943861 | − | 0.330342i | \(-0.107164\pi\) |
−0.758015 | + | 0.652237i | \(0.773831\pi\) | |||||||
\(770\) | 0.0770213 | + | 9.67285i | 0.00277565 | + | 0.348585i | ||||
\(771\) | −29.0461 | + | 3.27714i | −1.04607 | + | 0.118023i | ||||
\(772\) | 20.3803 | − | 0.324582i | 0.733503 | − | 0.0116820i | ||||
\(773\) | 29.0684 | − | 29.0684i | 1.04552 | − | 1.04552i | 0.0466043 | − | 0.998913i | \(-0.485160\pi\) |
0.998913 | − | 0.0466043i | \(-0.0148400\pi\) | |||||||
\(774\) | −0.192202 | + | 6.59482i | −0.00690856 | + | 0.237046i | ||||
\(775\) | 8.56139 | 0.307534 | ||||||||
\(776\) | −0.739150 | − | 0.403523i | −0.0265340 | − | 0.0144856i | ||||
\(777\) | −41.4467 | − | 6.24069i | −1.48689 | − | 0.223884i | ||||
\(778\) | 28.0740 | + | 27.6305i | 1.00650 | + | 0.990601i | ||||
\(779\) | −3.21101 | + | 11.9837i | −0.115046 | + | 0.429359i | ||||
\(780\) | 33.6475 | − | 4.33997i | 1.20477 | − | 0.155396i | ||||
\(781\) | −0.636543 | − | 2.37561i | −0.0227773 | − | 0.0850060i | ||||
\(782\) | 53.1224 | + | 30.1088i | 1.89965 | + | 1.07669i | ||||
\(783\) | 5.36162 | + | 7.85642i | 0.191609 | + | 0.280765i | ||||
\(784\) | −1.95236 | + | 3.64494i | −0.0697273 | + | 0.130176i | ||||
\(785\) | −15.8222 | − | 9.13496i | −0.564719 | − | 0.326041i | ||||
\(786\) | −9.69569 | − | 1.38104i | −0.345834 | − | 0.0492600i | ||||
\(787\) | 9.63526 | − | 35.9593i | 0.343460 | − | 1.28181i | −0.550941 | − | 0.834544i | \(-0.685731\pi\) |
0.894401 | − | 0.447266i | \(-0.147602\pi\) | |||||||
\(788\) | −3.35334 | − | 11.7623i | −0.119458 | − | 0.419014i | ||||
\(789\) | 22.3399 | + | 30.2599i | 0.795321 | + | 1.07728i | ||||
\(790\) | 41.4798 | + | 10.7612i | 1.47578 | + | 0.382867i | ||||
\(791\) | 1.68105i | 0.0597712i | ||||||||
\(792\) | 3.56958 | − | 5.99827i | 0.126840 | − | 0.213139i | ||||
\(793\) | − | 27.9297i | − | 0.991814i | ||||||
\(794\) | 1.92016 | − | 7.40136i | 0.0681439 | − | 0.262665i | ||||
\(795\) | 32.1935 | − | 3.63225i | 1.14179 | − | 0.128823i | ||||
\(796\) | −26.9577 | + | 48.4582i | −0.955491 | + | 1.71755i | ||||
\(797\) | 2.51421 | − | 9.38318i | 0.0890580 | − | 0.332369i | −0.906994 | − | 0.421144i | \(-0.861629\pi\) |
0.996052 | + | 0.0887752i | \(0.0282953\pi\) | |||||||
\(798\) | 8.67096 | − | 3.48455i | 0.306949 | − | 0.123352i | ||||
\(799\) | −36.0706 | − | 20.8254i | −1.27609 | − | 0.736749i | ||||
\(800\) | −10.8945 | − | 17.2460i | −0.385178 | − | 0.609738i | ||||
\(801\) | 18.8813 | + | 20.3369i | 0.667137 | + | 0.718568i | ||||
\(802\) | −20.0853 | + | 35.4375i | −0.709237 | + | 1.25134i | ||||
\(803\) | 2.70988 | + | 10.1134i | 0.0956297 | + | 0.356895i | ||||
\(804\) | −15.2390 | − | 37.0651i | −0.537440 | − | 1.30719i | ||||
\(805\) | −12.7534 | + | 47.5965i | −0.449500 | + | 1.67756i | ||||
\(806\) | 7.86267 | − | 7.98889i | 0.276951 | − | 0.281397i | ||||
\(807\) | −3.13987 | − | 7.99673i | −0.110529 | − | 0.281498i | ||||
\(808\) | 22.2123 | − | 6.52424i | 0.781428 | − | 0.229522i | ||||
\(809\) | −13.1867 | −0.463620 | −0.231810 | − | 0.972761i | \(-0.574465\pi\) | ||||
−0.231810 | + | 0.972761i | \(0.574465\pi\) | |||||||
\(810\) | −7.25568 | − | 36.6270i | −0.254938 | − | 1.28694i | ||||
\(811\) | −11.0093 | + | 11.0093i | −0.386587 | + | 0.386587i | −0.873468 | − | 0.486881i | \(-0.838135\pi\) |
0.486881 | + | 0.873468i | \(0.338135\pi\) | |||||||
\(812\) | 7.45335 | + | 7.21966i | 0.261561 | + | 0.253361i | ||||
\(813\) | −1.56307 | + | 3.58408i | −0.0548194 | + | 0.125699i | ||||
\(814\) | 9.93191 | − | 0.0790841i | 0.348113 | − | 0.00277190i | ||||
\(815\) | −7.03233 | − | 12.1804i | −0.246332 | − | 0.426659i | ||||
\(816\) | −49.9542 | + | 7.25376i | −1.74875 | + | 0.253932i | ||||
\(817\) | 1.04656 | − | 1.81269i | 0.0366144 | − | 0.0634179i | ||||
\(818\) | 7.33690 | − | 12.9448i | 0.256529 | − | 0.452606i | ||||
\(819\) | 28.3677 | + | 1.05288i | 0.991246 | + | 0.0367907i | ||||
\(820\) | 52.4535 | + | 13.1633i | 1.83175 | + | 0.459682i | ||||
\(821\) | −1.11987 | − | 4.17943i | −0.0390839 | − | 0.145863i | 0.943627 | − | 0.331012i | \(-0.107390\pi\) |
−0.982711 | + | 0.185149i | \(0.940723\pi\) | |||||||
\(822\) | −7.65580 | + | 17.9431i | −0.267027 | + | 0.625836i | ||||
\(823\) | 23.8576 | + | 41.3225i | 0.831622 | + | 1.44041i | 0.896751 | + | 0.442535i | \(0.145921\pi\) |
−0.0651287 | + | 0.997877i | \(0.520746\pi\) | |||||||
\(824\) | −27.6477 | + | 16.8555i | −0.963155 | + | 0.587189i | ||||
\(825\) | −4.01745 | − | 3.20282i | −0.139870 | − | 0.111508i | ||||
\(826\) | 42.8007 | + | 11.1039i | 1.48923 | + | 0.386355i | ||||
\(827\) | 1.38625 | + | 1.38625i | 0.0482045 | + | 0.0482045i | 0.730798 | − | 0.682594i | \(-0.239148\pi\) |
−0.682594 | + | 0.730798i | \(0.739148\pi\) | |||||||
\(828\) | 25.6691 | − | 24.6045i | 0.892063 | − | 0.855064i | ||||
\(829\) | −21.8345 | + | 21.8345i | −0.758345 | + | 0.758345i | −0.976021 | − | 0.217676i | \(-0.930152\pi\) |
0.217676 | + | 0.976021i | \(0.430152\pi\) | |||||||
\(830\) | 8.15788 | + | 13.8736i | 0.283164 | + | 0.481558i | ||||
\(831\) | 31.4879 | + | 4.74119i | 1.09230 | + | 0.164470i | ||||
\(832\) | −26.0981 | − | 5.67252i | −0.904789 | − | 0.196659i | ||||
\(833\) | 6.52255 | − | 3.76580i | 0.225993 | − | 0.130477i | ||||
\(834\) | −25.8978 | − | 3.68883i | −0.896766 | − | 0.127734i | ||||
\(835\) | −28.0938 | + | 7.52771i | −0.972227 | + | 0.260507i | ||||
\(836\) | −1.89989 | + | 1.13762i | −0.0657090 | + | 0.0393454i | ||||
\(837\) | −9.35442 | − | 8.04278i | −0.323336 | − | 0.277999i | ||||
\(838\) | −17.5016 | + | 4.83923i | −0.604583 | + | 0.167168i | ||||
\(839\) | −27.8914 | − | 16.1031i | −0.962916 | − | 0.555940i | −0.0658470 | − | 0.997830i | \(-0.520975\pi\) |
−0.897069 | + | 0.441890i | \(0.854308\pi\) | |||||||
\(840\) | −15.7892 | − | 37.5503i | −0.544780 | − | 1.29561i | ||||
\(841\) | −22.2129 | + | 12.8246i | −0.765962 | + | 0.442228i | ||||
\(842\) | −9.46356 | + | 9.61548i | −0.326136 | + | 0.331371i | ||||
\(843\) | 12.2141 | − | 9.01729i | 0.420678 | − | 0.310572i | ||||
\(844\) | −28.3156 | − | 27.4278i | −0.974662 | − | 0.944103i | ||||
\(845\) | 3.84768 | + | 3.84768i | 0.132364 | + | 0.132364i | ||||
\(846\) | −17.6422 | + | 16.6430i | −0.606552 | + | 0.572198i | ||||
\(847\) | 29.2602i | 1.00539i | ||||||||
\(848\) | −24.8329 | − | 5.81314i | −0.852766 | − | 0.199624i | ||||
\(849\) | 21.8977 | + | 17.4574i | 0.751527 | + | 0.599138i | ||||
\(850\) | 0.295850 | + | 37.1548i | 0.0101476 | + | 1.27440i | ||||
\(851\) | 48.8712 | + | 13.0950i | 1.67528 | + | 0.448891i | ||||
\(852\) | 6.28329 | + | 8.23319i | 0.215262 | + | 0.282064i | ||||
\(853\) | 44.9166 | − | 12.0354i | 1.53791 | − | 0.412083i | 0.612323 | − | 0.790608i | \(-0.290235\pi\) |
0.925591 | + | 0.378525i | \(0.123569\pi\) | |||||||
\(854\) | −32.3221 | + | 8.93713i | −1.10604 | + | 0.305822i | ||||
\(855\) | −3.48820 | + | 11.3206i | −0.119294 | + | 0.387156i | ||||
\(856\) | −0.482866 | + | 0.506504i | −0.0165040 | + | 0.0173120i | ||||
\(857\) | 10.0139 | − | 17.3446i | 0.342068 | − | 0.592480i | −0.642748 | − | 0.766077i | \(-0.722206\pi\) |
0.984817 | + | 0.173598i | \(0.0555392\pi\) | |||||||
\(858\) | −6.67821 | + | 0.807374i | −0.227990 | + | 0.0275633i | ||||
\(859\) | 16.6956 | + | 4.47358i | 0.569648 | + | 0.152637i | 0.532135 | − | 0.846659i | \(-0.321390\pi\) |
0.0375129 | + | 0.999296i | \(0.488056\pi\) | |||||||
\(860\) | −7.97321 | − | 4.43557i | −0.271884 | − | 0.151252i | ||||
\(861\) | 41.4776 | + | 18.0891i | 1.41355 | + | 0.616474i | ||||
\(862\) | −20.0478 | + | 11.7884i | −0.682830 | + | 0.401515i | ||||
\(863\) | 24.4242 | 0.831410 | 0.415705 | − | 0.909499i | \(-0.363535\pi\) | ||||
0.415705 | + | 0.909499i | \(0.363535\pi\) | |||||||
\(864\) | −4.29766 | + | 29.0780i | −0.146209 | + | 0.989254i | ||||
\(865\) | 22.0265 | 0.748923 | ||||||||
\(866\) | −4.28767 | + | 2.52122i | −0.145701 | + | 0.0856745i | ||||
\(867\) | 57.2886 | + | 24.9845i | 1.94562 | + | 0.848518i | ||||
\(868\) | −11.7612 | − | 6.54287i | −0.399202 | − | 0.222079i | ||||
\(869\) | −8.20731 | − | 2.19914i | −0.278414 | − | 0.0746007i | ||||
\(870\) | −13.0586 | + | 1.57875i | −0.442729 | + | 0.0535245i | ||||
\(871\) | −19.3109 | + | 33.4474i | −0.654324 | + | 1.13332i | ||||
\(872\) | −4.36883 | − | 4.16495i | −0.147947 | − | 0.141043i | ||||
\(873\) | 0.870754 | − | 0.199020i | 0.0294705 | − | 0.00673580i | ||||
\(874\) | −10.8725 | + | 3.00627i | −0.367768 | + | 0.101689i | ||||
\(875\) | 11.1957 | − | 2.99989i | 0.378485 | − | 0.101415i | ||||
\(876\) | −26.7491 | − | 35.0502i | −0.903770 | − | 1.18424i | ||||
\(877\) | 34.5743 | + | 9.26415i | 1.16749 | + | 0.312828i | 0.789954 | − | 0.613167i | \(-0.210105\pi\) |
0.377537 | + | 0.925995i | \(0.376771\pi\) | |||||||
\(878\) | −0.235305 | − | 29.5512i | −0.00794117 | − | 0.997305i | ||||
\(879\) | −16.9823 | − | 13.5388i | −0.572800 | − | 0.456651i | ||||
\(880\) | 5.09017 | + | 8.20166i | 0.171590 | + | 0.276478i | ||||
\(881\) | 45.8264i | 1.54393i | 0.635664 | + | 0.771966i | \(0.280726\pi\) | ||||
−0.635664 | + | 0.771966i | \(0.719274\pi\) | |||||||
\(882\) | −1.01121 | − | 4.26754i | −0.0340493 | − | 0.143696i | ||||
\(883\) | 7.22790 | + | 7.22790i | 0.243238 | + | 0.243238i | 0.818188 | − | 0.574950i | \(-0.194979\pi\) |
−0.574950 | + | 0.818188i | \(0.694979\pi\) | |||||||
\(884\) | 34.9420 | + | 33.8464i | 1.17523 | + | 1.13838i | ||||
\(885\) | −45.0936 | + | 33.2911i | −1.51581 | + | 1.11907i | ||||
\(886\) | 10.9676 | − | 11.1437i | 0.368465 | − | 0.374380i | ||||
\(887\) | −36.9502 | + | 21.3332i | −1.24067 | + | 0.716300i | −0.969230 | − | 0.246156i | \(-0.920832\pi\) |
−0.271438 | + | 0.962456i | \(0.587499\pi\) | |||||||
\(888\) | −38.5560 | + | 16.2121i | −1.29386 | + | 0.544042i | ||||
\(889\) | 34.8107 | + | 20.0980i | 1.16751 | + | 0.674065i | ||||
\(890\) | −36.9887 | + | 10.2274i | −1.23986 | + | 0.342824i | ||||
\(891\) | 1.38077 | + | 7.27357i | 0.0462577 | + | 0.243674i | ||||
\(892\) | −21.6115 | + | 12.9406i | −0.723608 | + | 0.433284i | ||||
\(893\) | 7.43234 | − | 1.99149i | 0.248714 | − | 0.0666426i | ||||
\(894\) | −10.6477 | − | 1.51664i | −0.356113 | − | 0.0507241i | ||||
\(895\) | 2.17284 | − | 1.25449i | 0.0726300 | − | 0.0419330i | ||||
\(896\) | 1.78642 | + | 32.0176i | 0.0596801 | + | 1.06963i | ||||
\(897\) | −33.8849 | − | 5.10210i | −1.13138 | − | 0.170354i | ||||
\(898\) | −12.6063 | − | 21.4386i | −0.420676 | − | 0.715416i | ||||
\(899\) | −3.07305 | + | 3.07305i | −0.102492 | + | 0.102492i | ||||
\(900\) | 20.7758 | + | 6.04110i | 0.692526 | + | 0.201370i | ||||
\(901\) | 32.8489 | + | 32.8489i | 1.09435 | + | 1.09435i | ||||
\(902\) | −10.3793 | − | 2.69273i | −0.345593 | − | 0.0896581i | ||||
\(903\) | −5.96946 | − | 4.75902i | −0.198651 | − | 0.158370i | ||||
\(904\) | 0.873219 | + | 1.43232i | 0.0290428 | + | 0.0476384i | ||||
\(905\) | 21.0997 | + | 36.5457i | 0.701376 | + | 1.21482i | ||||
\(906\) | 13.3385 | − | 31.2616i | 0.443140 | − | 1.03860i | ||||
\(907\) | −10.4458 | − | 38.9844i | −0.346848 | − | 1.29445i | −0.890438 | − | 0.455104i | \(-0.849602\pi\) |
0.543590 | − | 0.839351i | \(-0.317065\pi\) | |||||||
\(908\) | −23.3855 | − | 5.86863i | −0.776074 | − | 0.194757i | ||||
\(909\) | −13.0578 | + | 20.7953i | −0.433099 | + | 0.689735i | ||||
\(910\) | −19.3572 | + | 34.1528i | −0.641685 | + | 1.13216i | ||||
\(911\) | −22.6553 | + | 39.2402i | −0.750605 | + | 1.30009i | 0.196925 | + | 0.980419i | \(0.436905\pi\) |
−0.947530 | + | 0.319667i | \(0.896429\pi\) | |||||||
\(912\) | 5.57797 | − | 7.47310i | 0.184705 | − | 0.247459i | ||||
\(913\) | −1.59558 | − | 2.76362i | −0.0528060 | − | 0.0914626i | ||||
\(914\) | 30.4716 | − | 0.242634i | 1.00791 | − | 0.00802563i | ||||
\(915\) | 16.9934 | − | 38.9652i | 0.561784 | − | 1.28815i | ||||
\(916\) | −8.13737 | − | 7.88224i | −0.268866 | − | 0.260436i | ||||
\(917\) | 8.01324 | − | 8.01324i | 0.264621 | − | 0.264621i | ||||
\(918\) | 34.5809 | − | 40.8743i | 1.14134 | − | 1.34905i | ||||
\(919\) | −3.91688 | −0.129206 | −0.0646030 | − | 0.997911i | \(-0.520578\pi\) | ||||
−0.0646030 | + | 0.997911i | \(0.520578\pi\) | |||||||
\(920\) | 13.8575 | + | 47.1789i | 0.456867 | + | 1.55544i | ||||
\(921\) | −16.9351 | − | 43.1308i | −0.558030 | − | 1.42121i | ||||
\(922\) | −17.4513 | + | 17.7314i | −0.574727 | + | 0.583954i | ||||
\(923\) | 2.58332 | − | 9.64107i | 0.0850309 | − | 0.317340i | ||||
\(924\) | 3.07128 | + | 7.47012i | 0.101038 | + | 0.245749i | ||||
\(925\) | 7.96831 | + | 29.7381i | 0.261996 | + | 0.977784i | ||||
\(926\) | 14.8472 | − | 26.1956i | 0.487910 | − | 0.860842i | ||||
\(927\) | 10.1134 | − | 32.8221i | 0.332169 | − | 1.07802i | ||||
\(928\) | 10.1008 | + | 2.27982i | 0.331575 | + | 0.0748388i | ||||
\(929\) | −13.7214 | − | 7.92207i | −0.450185 | − | 0.259915i | 0.257723 | − | 0.966219i | \(-0.417028\pi\) |
−0.707908 | + | 0.706304i | \(0.750361\pi\) | |||||||
\(930\) | 15.8300 | − | 6.36152i | 0.519088 | − | 0.208603i | ||||
\(931\) | −0.360116 | + | 1.34397i | −0.0118023 | + | 0.0440468i | ||||
\(932\) | −9.84844 | + | 17.7032i | −0.322597 | + | 0.579888i | ||||
\(933\) | 10.1092 | − | 1.14057i | 0.330960 | − | 0.0373407i | ||||
\(934\) | −1.32021 | + | 5.08882i | −0.0431985 | + | 0.166511i | ||||
\(935\) | − | 17.5824i | − | 0.575005i | ||||||
\(936\) | 24.7173 | − | 13.8384i | 0.807912 | − | 0.452324i | ||||
\(937\) | − | 38.0380i | − | 1.24265i | −0.783554 | − | 0.621324i | \(-0.786595\pi\) | ||
0.783554 | − | 0.621324i | \(-0.213405\pi\) | |||||||
\(938\) | 44.8868 | + | 11.6451i | 1.46561 | + | 0.380226i | ||||
\(939\) | 17.0449 | + | 23.0877i | 0.556239 | + | 0.753439i | ||||
\(940\) | −9.19578 | − | 32.2555i | −0.299933 | − | 1.05206i | ||||
\(941\) | −13.2570 | + | 49.4756i | −0.432164 | + | 1.61286i | 0.315598 | + | 0.948893i | \(0.397795\pi\) |
−0.747762 | + | 0.663966i | \(0.768872\pi\) | |||||||
\(942\) | −15.1025 | − | 2.15117i | −0.492066 | − | 0.0700891i | ||||
\(943\) | −47.3048 | − | 27.3115i | −1.54046 | − | 0.889384i | ||||
\(944\) | 42.2359 | − | 12.7718i | 1.37466 | − | 0.415686i | ||||
\(945\) | 38.9356 | + | 18.7287i | 1.26657 | + | 0.609245i | ||||
\(946\) | 1.57387 | + | 0.892039i | 0.0511708 | + | 0.0290027i | ||||
\(947\) | 4.24080 | + | 15.8269i | 0.137808 | + | 0.514305i | 0.999971 | + | 0.00767376i | \(0.00244266\pi\) |
−0.862163 | + | 0.506631i | \(0.830891\pi\) | |||||||
\(948\) | 35.4872 | − | 4.57726i | 1.15257 | − | 0.148663i | ||||
\(949\) | −10.9977 | + | 41.0438i | −0.356999 | + | 1.33234i | ||||
\(950\) | −4.89219 | − | 4.81490i | −0.158724 | − | 0.156216i | ||||
\(951\) | 11.9467 | + | 1.79883i | 0.387398 | + | 0.0583311i | ||||
\(952\) | 27.9884 | − | 51.2676i | 0.907109 | − | 1.66159i | ||||
\(953\) | −19.2107 | −0.622295 | −0.311147 | − | 0.950362i | \(-0.600713\pi\) | ||||
−0.311147 | + | 0.950362i | \(0.600713\pi\) | |||||||
\(954\) | 23.8112 | − | 12.8375i | 0.770917 | − | 0.415628i | ||||
\(955\) | −24.0744 | + | 24.0744i | −0.779030 | + | 0.779030i | ||||
\(956\) | −1.05411 | + | 0.0167881i | −0.0340925 | + | 0.000542966i | ||||
\(957\) | 2.59166 | − | 0.292405i | 0.0837764 | − | 0.00945211i | ||||
\(958\) | 0.242168 | + | 30.4131i | 0.00782410 | + | 0.982603i | ||||
\(959\) | −11.2867 | − | 19.5491i | −0.364466 | − | 0.631274i | ||||
\(960\) | −32.9585 | − | 23.7928i | −1.06373 | − | 0.767908i | ||||
\(961\) | −12.6816 | + | 21.9652i | −0.409085 | + | 0.708556i | ||||
\(962\) | 35.0675 | + | 19.8756i | 1.13062 | + | 0.640817i | ||||
\(963\) | 0.0275297 | − | 0.741729i | 0.000887134 | − | 0.0239019i | ||||
\(964\) | −20.0218 | − | 33.4375i | −0.644858 | − | 1.07695i | ||||
\(965\) | −7.73809 | − | 28.8789i | −0.249098 | − | 0.929646i | ||||
\(966\) | 4.93820 | + | 40.8464i | 0.158884 | + | 1.31421i | ||||
\(967\) | −17.0779 | − | 29.5798i | −0.549188 | − | 0.951222i | −0.998330 | − | 0.0577615i | \(-0.981604\pi\) |
0.449142 | − | 0.893460i | \(-0.351730\pi\) | |||||||
\(968\) | 15.1992 | + | 24.9309i | 0.488520 | + | 0.801311i | ||||
\(969\) | −15.8107 | + | 6.20798i | −0.507912 | + | 0.199429i | ||||
\(970\) | −0.310191 | + | 1.19565i | −0.00995963 | + | 0.0383900i | ||||
\(971\) | −20.2022 | − | 20.2022i | −0.648318 | − | 0.648318i | 0.304268 | − | 0.952586i | \(-0.401588\pi\) |
−0.952586 | + | 0.304268i | \(0.901588\pi\) | |||||||
\(972\) | −17.0251 | − | 26.1179i | −0.546079 | − | 0.837734i | ||||
\(973\) | 21.4038 | − | 21.4038i | 0.686175 | − | 0.686175i | ||||
\(974\) | −17.8528 | + | 10.4977i | −0.572041 | + | 0.336369i | ||||
\(975\) | −7.62078 | − | 19.4088i | −0.244060 | − | 0.621580i | ||||
\(976\) | −22.8974 | + | 24.4045i | −0.732929 | + | 0.781169i | ||||
\(977\) | −7.37615 | + | 4.25862i | −0.235984 | + | 0.136245i | −0.613329 | − | 0.789827i | \(-0.710170\pi\) |
0.377346 | + | 0.926072i | \(0.376837\pi\) | |||||||
\(978\) | −9.24066 | − | 7.24731i | −0.295484 | − | 0.231744i | ||||
\(979\) | 7.34998 | − | 1.96942i | 0.234906 | − | 0.0629430i | ||||
\(980\) | 5.88266 | + | 1.47627i | 0.187915 | + | 0.0471576i | ||||
\(981\) | 6.39776 | + | 0.237457i | 0.204265 | + | 0.00758141i | ||||
\(982\) | −16.4782 | − | 59.5954i | −0.525841 | − | 1.90176i | ||||
\(983\) | 47.6844 | + | 27.5306i | 1.52090 | + | 0.878090i | 0.999696 | + | 0.0246553i | \(0.00784881\pi\) |
0.521200 | + | 0.853435i | \(0.325485\pi\) | |||||||
\(984\) | 44.7370 | − | 6.13286i | 1.42616 | − | 0.195508i | ||||
\(985\) | −15.5369 | + | 8.97021i | −0.495045 | + | 0.285815i | ||||
\(986\) | −13.4426 | − | 13.2302i | −0.428101 | − | 0.421337i | ||||
\(987\) | −3.14644 | − | 27.8877i | −0.100152 | − | 0.887675i | ||||
\(988\) | −8.98585 | + | 0.143111i | −0.285878 | + | 0.00455297i | ||||
\(989\) | 6.51638 | + | 6.51638i | 0.207209 | + | 0.207209i | ||||
\(990\) | −9.80811 | − | 2.93686i | −0.311722 | − | 0.0933396i | ||||
\(991\) | − | 61.9180i | − | 1.96689i | −0.181210 | − | 0.983444i | \(-0.558001\pi\) | ||
0.181210 | − | 0.983444i | \(-0.441999\pi\) | |||||||
\(992\) | −13.4197 | + | 0.534553i | −0.426077 | + | 0.0169721i | ||||
\(993\) | 5.81643 | − | 38.6290i | 0.184579 | − | 1.22585i | ||||
\(994\) | −11.9839 | + | 0.0954234i | −0.380106 | + | 0.00302665i | ||||
\(995\) | 78.5655 | + | 21.0516i | 2.49069 | + | 0.667380i | ||||
\(996\) | 10.6399 | + | 8.20870i | 0.337137 | + | 0.260103i | ||||
\(997\) | 17.3680 | − | 4.65375i | 0.550051 | − | 0.147386i | 0.0269194 | − | 0.999638i | \(-0.491430\pi\) |
0.523132 | + | 0.852252i | \(0.324764\pi\) | |||||||
\(998\) | 3.08800 | + | 11.1681i | 0.0977490 | + | 0.353520i | ||||
\(999\) | 19.2303 | − | 39.9784i | 0.608420 | − | 1.26486i |
(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 | 144.2.u.a.11.18 | ✓ | 88 | |
3.2 | odd | 2 | 432.2.v.a.251.5 | 88 | |||
4.3 | odd | 2 | 576.2.y.a.335.19 | 88 | |||
9.4 | even | 3 | 432.2.v.a.395.12 | 88 | |||
9.5 | odd | 6 | inner | 144.2.u.a.59.11 | yes | 88 | |
12.11 | even | 2 | 1728.2.z.a.143.20 | 88 | |||
16.3 | odd | 4 | inner | 144.2.u.a.83.11 | yes | 88 | |
16.13 | even | 4 | 576.2.y.a.47.15 | 88 | |||
36.23 | even | 6 | 576.2.y.a.527.15 | 88 | |||
36.31 | odd | 6 | 1728.2.z.a.719.20 | 88 | |||
48.29 | odd | 4 | 1728.2.z.a.1007.20 | 88 | |||
48.35 | even | 4 | 432.2.v.a.35.12 | 88 | |||
144.13 | even | 12 | 1728.2.z.a.1583.20 | 88 | |||
144.67 | odd | 12 | 432.2.v.a.179.5 | 88 | |||
144.77 | odd | 12 | 576.2.y.a.239.19 | 88 | |||
144.131 | even | 12 | inner | 144.2.u.a.131.18 | yes | 88 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
144.2.u.a.11.18 | ✓ | 88 | 1.1 | even | 1 | trivial | |
144.2.u.a.59.11 | yes | 88 | 9.5 | odd | 6 | inner | |
144.2.u.a.83.11 | yes | 88 | 16.3 | odd | 4 | inner | |
144.2.u.a.131.18 | yes | 88 | 144.131 | even | 12 | inner | |
432.2.v.a.35.12 | 88 | 48.35 | even | 4 | |||
432.2.v.a.179.5 | 88 | 144.67 | odd | 12 | |||
432.2.v.a.251.5 | 88 | 3.2 | odd | 2 | |||
432.2.v.a.395.12 | 88 | 9.4 | even | 3 | |||
576.2.y.a.47.15 | 88 | 16.13 | even | 4 | |||
576.2.y.a.239.19 | 88 | 144.77 | odd | 12 | |||
576.2.y.a.335.19 | 88 | 4.3 | odd | 2 | |||
576.2.y.a.527.15 | 88 | 36.23 | even | 6 | |||
1728.2.z.a.143.20 | 88 | 12.11 | even | 2 | |||
1728.2.z.a.719.20 | 88 | 36.31 | odd | 6 | |||
1728.2.z.a.1007.20 | 88 | 48.29 | odd | 4 | |||
1728.2.z.a.1583.20 | 88 | 144.13 | even | 12 |