Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [300,2,Mod(67,300)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(300, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([10, 0, 13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("300.67");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 300.w (of order \(20\), degree \(8\), 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: | \(2.39551206064\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(30\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 67.6 | ||
Character | \(\chi\) | \(=\) | 300.67 |
Dual form | 300.2.w.a.103.6 |
$q$-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 \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(151\) | \(277\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{13}{20}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.28400 | + | 0.592739i | −0.907926 | + | 0.419130i | ||||
\(3\) | 0.987688 | + | 0.156434i | 0.570242 | + | 0.0903175i | ||||
\(4\) | 1.29732 | − | 1.52216i | 0.648660 | − | 0.761078i | ||||
\(5\) | −1.17964 | − | 1.89959i | −0.527550 | − | 0.849524i | ||||
\(6\) | −1.36092 | + | 0.384580i | −0.555593 | + | 0.157004i | ||||
\(7\) | 1.39751 | − | 1.39751i | 0.528209 | − | 0.528209i | −0.391829 | − | 0.920038i | \(-0.628158\pi\) |
0.920038 | + | 0.391829i | \(0.128158\pi\) | |||||||
\(8\) | −0.763519 | + | 2.72342i | −0.269945 | + | 0.962876i | ||||
\(9\) | 0.951057 | + | 0.309017i | 0.317019 | + | 0.103006i | ||||
\(10\) | 2.64062 | + | 1.73986i | 0.835037 | + | 0.550193i | ||||
\(11\) | −1.17837 | + | 0.382876i | −0.355293 | + | 0.115442i | −0.481225 | − | 0.876597i | \(-0.659808\pi\) |
0.125932 | + | 0.992039i | \(0.459808\pi\) | |||||||
\(12\) | 1.51947 | − | 1.30047i | 0.438632 | − | 0.375414i | ||||
\(13\) | −2.63087 | − | 5.16338i | −0.729673 | − | 1.43206i | −0.895111 | − | 0.445844i | \(-0.852904\pi\) |
0.165438 | − | 0.986220i | \(-0.447096\pi\) | |||||||
\(14\) | −0.966046 | + | 2.62276i | −0.258187 | + | 0.700963i | ||||
\(15\) | −0.867952 | − | 2.06074i | −0.224104 | − | 0.532081i | ||||
\(16\) | −0.633921 | − | 3.94945i | −0.158480 | − | 0.987362i | ||||
\(17\) | −0.916613 | − | 5.78726i | −0.222311 | − | 1.40362i | −0.806132 | − | 0.591735i | \(-0.798443\pi\) |
0.583821 | − | 0.811882i | \(-0.301557\pi\) | |||||||
\(18\) | −1.40432 | + | 0.166950i | −0.331002 | + | 0.0393506i | ||||
\(19\) | 3.68988 | + | 2.68086i | 0.846518 | + | 0.615031i | 0.924184 | − | 0.381948i | \(-0.124747\pi\) |
−0.0776661 | + | 0.996979i | \(0.524747\pi\) | |||||||
\(20\) | −4.42185 | − | 0.668790i | −0.988755 | − | 0.149546i | ||||
\(21\) | 1.59892 | − | 1.16169i | 0.348914 | − | 0.253501i | ||||
\(22\) | 1.28609 | − | 1.19008i | 0.274195 | − | 0.253726i | ||||
\(23\) | 0.0552946 | − | 0.108522i | 0.0115297 | − | 0.0226284i | −0.885170 | − | 0.465268i | \(-0.845958\pi\) |
0.896700 | + | 0.442640i | \(0.145958\pi\) | |||||||
\(24\) | −1.18016 | + | 2.57045i | −0.240898 | + | 0.524692i | ||||
\(25\) | −2.21691 | + | 4.48166i | −0.443383 | + | 0.896332i | ||||
\(26\) | 6.43858 | + | 5.07037i | 1.26271 | + | 0.994380i | ||||
\(27\) | 0.891007 | + | 0.453990i | 0.171474 | + | 0.0873705i | ||||
\(28\) | −0.314211 | − | 3.94025i | −0.0593803 | − | 0.744637i | ||||
\(29\) | 3.15410 | + | 4.34124i | 0.585701 | + | 0.806148i | 0.994306 | − | 0.106563i | \(-0.0339847\pi\) |
−0.408605 | + | 0.912711i | \(0.633985\pi\) | |||||||
\(30\) | 2.33593 | + | 2.13153i | 0.426481 | + | 0.389162i | ||||
\(31\) | 6.30517 | − | 8.67832i | 1.13244 | − | 1.55867i | 0.349093 | − | 0.937088i | \(-0.386490\pi\) |
0.783348 | − | 0.621583i | \(-0.213510\pi\) | |||||||
\(32\) | 3.15495 | + | 4.69535i | 0.557721 | + | 0.830028i | ||||
\(33\) | −1.22376 | + | 0.193825i | −0.213029 | + | 0.0337405i | ||||
\(34\) | 4.60727 | + | 6.88754i | 0.790140 | + | 1.18120i | ||||
\(35\) | −4.30325 | − | 1.00615i | −0.727383 | − | 0.170070i | ||||
\(36\) | 1.70420 | − | 1.04676i | 0.284033 | − | 0.174460i | ||||
\(37\) | −3.90325 | + | 1.98881i | −0.641691 | + | 0.326958i | −0.744381 | − | 0.667756i | \(-0.767255\pi\) |
0.102690 | + | 0.994713i | \(0.467255\pi\) | |||||||
\(38\) | −6.32687 | − | 1.25509i | −1.02635 | − | 0.203602i | ||||
\(39\) | −1.79075 | − | 5.51137i | −0.286750 | − | 0.882525i | ||||
\(40\) | 6.07408 | − | 1.76227i | 0.960396 | − | 0.278640i | ||||
\(41\) | 1.88978 | − | 5.81615i | 0.295134 | − | 0.908330i | −0.688042 | − | 0.725671i | \(-0.741530\pi\) |
0.983176 | − | 0.182659i | \(-0.0584704\pi\) | |||||||
\(42\) | −1.36444 | + | 2.43935i | −0.210538 | + | 0.376400i | ||||
\(43\) | 6.87625 | + | 6.87625i | 1.04862 | + | 1.04862i | 0.998756 | + | 0.0498626i | \(0.0158783\pi\) |
0.0498626 | + | 0.998756i | \(0.484122\pi\) | |||||||
\(44\) | −0.945929 | + | 2.29038i | −0.142604 | + | 0.345288i | ||||
\(45\) | −0.534894 | − | 2.17115i | −0.0797374 | − | 0.323656i | ||||
\(46\) | −0.00667324 | + | 0.172117i | −0.000983915 | + | 0.0253773i | ||||
\(47\) | 0.721759 | − | 4.55701i | 0.105279 | − | 0.664708i | −0.877451 | − | 0.479666i | \(-0.840758\pi\) |
0.982731 | − | 0.185042i | \(-0.0592421\pi\) | |||||||
\(48\) | −0.00828624 | − | 3.99999i | −0.00119602 | − | 0.577349i | ||||
\(49\) | 3.09393i | 0.441990i | ||||||||
\(50\) | 0.190064 | − | 7.06851i | 0.0268791 | − | 0.999639i | ||||
\(51\) | − | 5.85940i | − | 0.820481i | ||||||
\(52\) | −11.2726 | − | 2.69396i | −1.56322 | − | 0.373584i | ||||
\(53\) | 0.00324925 | − | 0.0205149i | 0.000446318 | − | 0.00281794i | −0.987464 | − | 0.157843i | \(-0.949546\pi\) |
0.987910 | + | 0.155025i | \(0.0495459\pi\) | |||||||
\(54\) | −1.41315 | − | 0.0547899i | −0.192306 | − | 0.00745596i | ||||
\(55\) | 2.11736 | + | 1.78677i | 0.285505 | + | 0.240929i | ||||
\(56\) | 2.73899 | + | 4.87304i | 0.366012 | + | 0.651187i | ||||
\(57\) | 3.22508 | + | 3.22508i | 0.427172 | + | 0.427172i | ||||
\(58\) | −6.62309 | − | 3.70460i | −0.869654 | − | 0.486438i | ||||
\(59\) | −2.84365 | + | 8.75185i | −0.370212 | + | 1.13939i | 0.576441 | + | 0.817139i | \(0.304441\pi\) |
−0.946653 | + | 0.322255i | \(0.895559\pi\) | |||||||
\(60\) | −4.26278 | − | 1.35228i | −0.550323 | − | 0.174579i | ||||
\(61\) | 0.217081 | + | 0.668108i | 0.0277944 | + | 0.0855424i | 0.963991 | − | 0.265933i | \(-0.0856800\pi\) |
−0.936197 | + | 0.351476i | \(0.885680\pi\) | |||||||
\(62\) | −2.95186 | + | 14.8803i | −0.374887 | + | 1.88980i | ||||
\(63\) | 1.76096 | − | 0.897256i | 0.221861 | − | 0.113044i | ||||
\(64\) | −6.83408 | − | 4.15877i | −0.854260 | − | 0.519847i | ||||
\(65\) | −6.70485 | + | 11.0885i | −0.831634 | + | 1.37536i | ||||
\(66\) | 1.45642 | − | 0.974242i | 0.179273 | − | 0.119921i | ||||
\(67\) | −7.05089 | + | 1.11675i | −0.861403 | + | 0.136433i | −0.571479 | − | 0.820617i | \(-0.693630\pi\) |
−0.289924 | + | 0.957050i | \(0.593630\pi\) | |||||||
\(68\) | −9.99826 | − | 6.11271i | −1.21247 | − | 0.741275i | ||||
\(69\) | 0.0715904 | − | 0.0985357i | 0.00861847 | − | 0.0118623i | ||||
\(70\) | 6.12177 | − | 1.25881i | 0.731691 | − | 0.150457i | ||||
\(71\) | 4.63594 | + | 6.38083i | 0.550185 | + | 0.757265i | 0.990037 | − | 0.140805i | \(-0.0449692\pi\) |
−0.439852 | + | 0.898070i | \(0.644969\pi\) | |||||||
\(72\) | −1.56773 | + | 2.35419i | −0.184759 | + | 0.277444i | ||||
\(73\) | −4.73873 | − | 2.41450i | −0.554626 | − | 0.282596i | 0.154129 | − | 0.988051i | \(-0.450743\pi\) |
−0.708755 | + | 0.705455i | \(0.750743\pi\) | |||||||
\(74\) | 3.83294 | − | 4.86724i | 0.445570 | − | 0.565805i | ||||
\(75\) | −2.89071 | + | 4.07968i | −0.333790 | + | 0.471081i | ||||
\(76\) | 8.86765 | − | 2.13865i | 1.01719 | − | 0.245320i | ||||
\(77\) | −1.11171 | + | 2.18186i | −0.126692 | + | 0.248646i | ||||
\(78\) | 5.56613 | + | 6.01516i | 0.630241 | + | 0.681082i | ||||
\(79\) | −10.1840 | + | 7.39910i | −1.14579 | + | 0.832463i | −0.987915 | − | 0.154996i | \(-0.950463\pi\) |
−0.157872 | + | 0.987460i | \(0.550463\pi\) | |||||||
\(80\) | −6.75455 | + | 5.86311i | −0.755182 | + | 0.655515i | ||||
\(81\) | 0.809017 | + | 0.587785i | 0.0898908 | + | 0.0653095i | ||||
\(82\) | 1.02098 | + | 8.58809i | 0.112748 | + | 0.948396i | ||||
\(83\) | 0.455567 | + | 2.87634i | 0.0500050 | + | 0.315719i | 0.999994 | + | 0.00343616i | \(0.00109377\pi\) |
−0.949989 | + | 0.312283i | \(0.898906\pi\) | |||||||
\(84\) | 0.306048 | − | 3.94089i | 0.0333926 | − | 0.429986i | ||||
\(85\) | −9.91218 | + | 8.56806i | −1.07513 | + | 0.929337i | ||||
\(86\) | −12.9049 | − | 4.75329i | −1.39158 | − | 0.512561i | ||||
\(87\) | 2.43614 | + | 4.78120i | 0.261182 | + | 0.512599i | ||||
\(88\) | −0.143025 | − | 3.50154i | −0.0152465 | − | 0.373266i | ||||
\(89\) | 9.16320 | − | 2.97730i | 0.971297 | − | 0.315594i | 0.219958 | − | 0.975509i | \(-0.429408\pi\) |
0.751340 | + | 0.659916i | \(0.229408\pi\) | |||||||
\(90\) | 1.97373 | + | 2.47071i | 0.208049 | + | 0.260435i | ||||
\(91\) | −10.8925 | − | 3.53920i | −1.14185 | − | 0.371009i | ||||
\(92\) | −0.0934523 | − | 0.224954i | −0.00974308 | − | 0.0234531i | ||||
\(93\) | 7.58513 | − | 7.58513i | 0.786541 | − | 0.786541i | ||||
\(94\) | 1.77438 | + | 6.27902i | 0.183013 | + | 0.647631i | ||||
\(95\) | 0.739818 | − | 10.1717i | 0.0759037 | − | 1.04360i | ||||
\(96\) | 2.38159 | + | 5.13108i | 0.243070 | + | 0.523689i | ||||
\(97\) | −7.28707 | − | 1.15416i | −0.739890 | − | 0.117187i | −0.224898 | − | 0.974382i | \(-0.572205\pi\) |
−0.514992 | + | 0.857195i | \(0.672205\pi\) | |||||||
\(98\) | −1.83390 | − | 3.97261i | −0.185251 | − | 0.401295i | ||||
\(99\) | −1.23901 | −0.124526 | ||||||||
\(100\) | 3.94574 | + | 9.18864i | 0.394574 | + | 0.918864i | ||||
\(101\) | −5.34748 | −0.532094 | −0.266047 | − | 0.963960i | \(-0.585718\pi\) | ||||
−0.266047 | + | 0.963960i | \(0.585718\pi\) | |||||||
\(102\) | 3.47310 | + | 7.52348i | 0.343888 | + | 0.744936i | ||||
\(103\) | 1.35980 | + | 0.215371i | 0.133985 | + | 0.0212212i | 0.223067 | − | 0.974803i | \(-0.428393\pi\) |
−0.0890816 | + | 0.996024i | \(0.528393\pi\) | |||||||
\(104\) | 16.0708 | − | 3.22264i | 1.57587 | − | 0.316006i | ||||
\(105\) | −4.09288 | − | 1.66694i | −0.399424 | − | 0.162676i | ||||
\(106\) | 0.00798797 | + | 0.0282672i | 0.000775860 | + | 0.00274555i | ||||
\(107\) | 4.98173 | − | 4.98173i | 0.481602 | − | 0.481602i | −0.424041 | − | 0.905643i | \(-0.639389\pi\) |
0.905643 | + | 0.424041i | \(0.139389\pi\) | |||||||
\(108\) | 1.84697 | − | 0.767280i | 0.177724 | − | 0.0738316i | ||||
\(109\) | 17.6116 | + | 5.72235i | 1.68688 | + | 0.548102i | 0.986227 | − | 0.165397i | \(-0.0528905\pi\) |
0.700657 | + | 0.713499i | \(0.252890\pi\) | |||||||
\(110\) | −3.77779 | − | 1.03918i | −0.360198 | − | 0.0990817i | ||||
\(111\) | −4.16632 | + | 1.35372i | −0.395449 | + | 0.128489i | ||||
\(112\) | −6.40530 | − | 4.63348i | −0.605244 | − | 0.437823i | ||||
\(113\) | 3.70475 | + | 7.27098i | 0.348514 | + | 0.683997i | 0.997014 | − | 0.0772176i | \(-0.0246036\pi\) |
−0.648501 | + | 0.761214i | \(0.724604\pi\) | |||||||
\(114\) | −6.05263 | − | 2.22937i | −0.566881 | − | 0.208800i | ||||
\(115\) | −0.271375 | + | 0.0229790i | −0.0253058 | + | 0.00214280i | ||||
\(116\) | 10.6999 | + | 0.830951i | 0.993462 | + | 0.0771519i | ||||
\(117\) | −0.906537 | − | 5.72365i | −0.0838094 | − | 0.529152i | ||||
\(118\) | −1.53632 | − | 12.9229i | −0.141429 | − | 1.18965i | ||||
\(119\) | −9.36873 | − | 6.80678i | −0.858830 | − | 0.623977i | ||||
\(120\) | 6.27497 | − | 0.790384i | 0.572824 | − | 0.0721518i | ||||
\(121\) | −7.65722 | + | 5.56330i | −0.696111 | + | 0.505754i | ||||
\(122\) | −0.674747 | − | 0.729179i | −0.0610887 | − | 0.0660167i | ||||
\(123\) | 2.77636 | − | 5.44892i | 0.250336 | − | 0.491312i | ||||
\(124\) | −5.02994 | − | 20.8560i | −0.451702 | − | 1.87292i | ||||
\(125\) | 11.1285 | − | 1.07550i | 0.995362 | − | 0.0961953i | ||||
\(126\) | −1.72924 | + | 2.19587i | −0.154053 | + | 0.195624i | ||||
\(127\) | 5.50456 | + | 2.80471i | 0.488450 | + | 0.248878i | 0.680828 | − | 0.732443i | \(-0.261620\pi\) |
−0.192378 | + | 0.981321i | \(0.561620\pi\) | |||||||
\(128\) | 11.2400 | + | 1.28904i | 0.993488 | + | 0.113937i | ||||
\(129\) | 5.71591 | + | 7.86728i | 0.503258 | + | 0.692675i | ||||
\(130\) | 2.03645 | − | 18.2119i | 0.178608 | − | 1.59729i | ||||
\(131\) | −1.66608 | + | 2.29316i | −0.145566 | + | 0.200354i | −0.875574 | − | 0.483085i | \(-0.839516\pi\) |
0.730008 | + | 0.683439i | \(0.239516\pi\) | |||||||
\(132\) | −1.29258 | + | 2.11421i | −0.112504 | + | 0.184018i | ||||
\(133\) | 8.90317 | − | 1.41012i | 0.772003 | − | 0.122273i | ||||
\(134\) | 8.39141 | − | 5.61325i | 0.724908 | − | 0.484911i | ||||
\(135\) | −0.188666 | − | 2.22809i | −0.0162378 | − | 0.191764i | ||||
\(136\) | 16.4610 | + | 1.92236i | 1.41152 | + | 0.164841i | ||||
\(137\) | 7.68229 | − | 3.91432i | 0.656342 | − | 0.334423i | −0.0939045 | − | 0.995581i | \(-0.529935\pi\) |
0.750246 | + | 0.661158i | \(0.229935\pi\) | |||||||
\(138\) | −0.0335162 | + | 0.168954i | −0.00285309 | + | 0.0143824i | ||||
\(139\) | 3.17990 | + | 9.78673i | 0.269716 | + | 0.830100i | 0.990569 | + | 0.137012i | \(0.0437500\pi\) |
−0.720854 | + | 0.693087i | \(0.756250\pi\) | |||||||
\(140\) | −7.11421 | + | 5.24493i | −0.601261 | + | 0.443278i | ||||
\(141\) | 1.42575 | − | 4.38799i | 0.120069 | − | 0.369536i | ||||
\(142\) | −9.73472 | − | 5.44509i | −0.816920 | − | 0.456942i | ||||
\(143\) | 5.07708 | + | 5.07708i | 0.424567 | + | 0.424567i | ||||
\(144\) | 0.617552 | − | 3.95204i | 0.0514627 | − | 0.329337i | ||||
\(145\) | 4.52591 | − | 11.1126i | 0.375856 | − | 0.922850i | ||||
\(146\) | 7.51570 | + | 0.291394i | 0.622004 | + | 0.0241160i | ||||
\(147\) | −0.483998 | + | 3.05584i | −0.0399195 | + | 0.252042i | ||||
\(148\) | −2.03649 | + | 8.52148i | −0.167399 | + | 0.700461i | ||||
\(149\) | − | 21.2963i | − | 1.74466i | −0.488914 | − | 0.872332i | \(-0.662607\pi\) | ||
0.488914 | − | 0.872332i | \(-0.337393\pi\) | |||||||
\(150\) | 1.29348 | − | 6.95176i | 0.105612 | − | 0.567608i | ||||
\(151\) | − | 3.72566i | − | 0.303190i | −0.988443 | − | 0.151595i | \(-0.951559\pi\) | ||
0.988443 | − | 0.151595i | \(-0.0484409\pi\) | |||||||
\(152\) | −10.1184 | + | 8.00223i | −0.820711 | + | 0.649067i | ||||
\(153\) | 0.916613 | − | 5.78726i | 0.0741037 | − | 0.467873i | ||||
\(154\) | 0.134167 | − | 3.46047i | 0.0108115 | − | 0.278853i | ||||
\(155\) | −23.9231 | − | 1.73999i | −1.92155 | − | 0.139760i | ||||
\(156\) | −10.7123 | − | 4.42420i | −0.857674 | − | 0.354220i | ||||
\(157\) | 9.67619 | + | 9.67619i | 0.772244 | + | 0.772244i | 0.978498 | − | 0.206254i | \(-0.0661274\pi\) |
−0.206254 | + | 0.978498i | \(0.566127\pi\) | |||||||
\(158\) | 8.69051 | − | 15.5369i | 0.691380 | − | 1.23605i | ||||
\(159\) | 0.00641848 | − | 0.0197541i | 0.000509019 | − | 0.00156660i | ||||
\(160\) | 5.19756 | − | 11.5319i | 0.410903 | − | 0.911679i | ||||
\(161\) | −0.0743855 | − | 0.228935i | −0.00586240 | − | 0.0180426i | ||||
\(162\) | −1.38718 | − | 0.275181i | −0.108987 | − | 0.0216203i | ||||
\(163\) | −20.6862 | + | 10.5402i | −1.62027 | + | 0.825569i | −0.621148 | + | 0.783693i | \(0.713334\pi\) |
−0.999123 | + | 0.0418764i | \(0.986666\pi\) | |||||||
\(164\) | −6.40144 | − | 10.4220i | −0.499868 | − | 0.813818i | ||||
\(165\) | 1.81178 | + | 2.09600i | 0.141047 | + | 0.163174i | ||||
\(166\) | −2.28987 | − | 3.42319i | −0.177728 | − | 0.265691i | ||||
\(167\) | 19.6135 | − | 3.10647i | 1.51773 | − | 0.240386i | 0.658740 | − | 0.752370i | \(-0.271090\pi\) |
0.858995 | + | 0.511985i | \(0.171090\pi\) | |||||||
\(168\) | 1.94295 | + | 5.24151i | 0.149902 | + | 0.404392i | ||||
\(169\) | −12.0978 | + | 16.6512i | −0.930599 | + | 1.28086i | ||||
\(170\) | 7.64863 | − | 16.8767i | 0.586623 | − | 1.29439i | ||||
\(171\) | 2.68086 | + | 3.68988i | 0.205010 | + | 0.282173i | ||||
\(172\) | 19.3874 | − | 1.54603i | 1.47828 | − | 0.117884i | ||||
\(173\) | −0.813910 | − | 0.414708i | −0.0618804 | − | 0.0315297i | 0.422776 | − | 0.906234i | \(-0.361056\pi\) |
−0.484657 | + | 0.874704i | \(0.661056\pi\) | |||||||
\(174\) | −5.96202 | − | 4.69507i | −0.451979 | − | 0.355932i | ||||
\(175\) | 3.16501 | + | 9.36132i | 0.239252 | + | 0.707650i | ||||
\(176\) | 2.25915 | + | 4.41121i | 0.170290 | + | 0.332507i | ||||
\(177\) | −4.17773 | + | 8.19926i | −0.314017 | + | 0.616294i | ||||
\(178\) | −10.0008 | + | 9.25425i | −0.749592 | + | 0.693636i | ||||
\(179\) | −4.51834 | + | 3.28277i | −0.337717 | + | 0.245366i | −0.743698 | − | 0.668516i | \(-0.766930\pi\) |
0.405981 | + | 0.913882i | \(0.366930\pi\) | |||||||
\(180\) | −3.99876 | − | 2.00248i | −0.298050 | − | 0.149256i | ||||
\(181\) | −4.12766 | − | 2.99892i | −0.306807 | − | 0.222908i | 0.423718 | − | 0.905794i | \(-0.360725\pi\) |
−0.730525 | + | 0.682886i | \(0.760725\pi\) | |||||||
\(182\) | 16.0839 | − | 1.91210i | 1.19222 | − | 0.141734i | ||||
\(183\) | 0.109894 | + | 0.693841i | 0.00812357 | + | 0.0512902i | ||||
\(184\) | 0.253332 | + | 0.233449i | 0.0186759 | + | 0.0172101i | ||||
\(185\) | 8.38235 | + | 5.06853i | 0.616282 | + | 0.372645i | ||||
\(186\) | −5.24331 | + | 14.2353i | −0.384458 | + | 1.04378i | ||||
\(187\) | 3.29592 | + | 6.46860i | 0.241021 | + | 0.473031i | ||||
\(188\) | −6.00012 | − | 7.01053i | −0.437604 | − | 0.511295i | ||||
\(189\) | 1.87965 | − | 0.610734i | 0.136724 | − | 0.0444244i | ||||
\(190\) | 5.07925 | + | 13.4990i | 0.368488 | + | 0.979322i | ||||
\(191\) | −2.86970 | − | 0.932423i | −0.207645 | − | 0.0674678i | 0.203348 | − | 0.979107i | \(-0.434818\pi\) |
−0.410992 | + | 0.911639i | \(0.634818\pi\) | |||||||
\(192\) | −6.09936 | − | 5.17666i | −0.440184 | − | 0.373593i | ||||
\(193\) | 10.1768 | − | 10.1768i | 0.732542 | − | 0.732542i | −0.238581 | − | 0.971123i | \(-0.576682\pi\) |
0.971123 | + | 0.238581i | \(0.0766822\pi\) | |||||||
\(194\) | 10.0407 | − | 2.83739i | 0.720882 | − | 0.203713i | ||||
\(195\) | −8.35693 | + | 9.90312i | −0.598452 | + | 0.709177i | ||||
\(196\) | 4.70945 | + | 4.01382i | 0.336389 | + | 0.286702i | ||||
\(197\) | 0.100082 | + | 0.0158515i | 0.00713057 | + | 0.00112937i | 0.159999 | − | 0.987117i | \(-0.448851\pi\) |
−0.152868 | + | 0.988247i | \(0.548851\pi\) | |||||||
\(198\) | 1.59090 | − | 0.734412i | 0.113060 | − | 0.0521924i | ||||
\(199\) | 13.0628 | 0.926000 | 0.463000 | − | 0.886358i | \(-0.346773\pi\) | ||||
0.463000 | + | 0.886358i | \(0.346773\pi\) | |||||||
\(200\) | −10.5128 | − | 9.45943i | −0.743368 | − | 0.668883i | ||||
\(201\) | −7.13878 | −0.503531 | ||||||||
\(202\) | 6.86617 | − | 3.16966i | 0.483102 | − | 0.223017i | ||||
\(203\) | 10.4748 | + | 1.65905i | 0.735187 | + | 0.116442i | ||||
\(204\) | −8.91893 | − | 7.60152i | −0.624450 | − | 0.532213i | ||||
\(205\) | −13.2776 | + | 3.27113i | −0.927346 | + | 0.228465i | ||||
\(206\) | −1.87364 | + | 0.529470i | −0.130543 | + | 0.0368899i | ||||
\(207\) | 0.0861234 | − | 0.0861234i | 0.00598599 | − | 0.00598599i | ||||
\(208\) | −18.7247 | + | 13.6637i | −1.29833 | + | 0.947405i | ||||
\(209\) | −5.37450 | − | 1.74628i | −0.371762 | − | 0.120793i | ||||
\(210\) | 6.24332 | − | 0.285660i | 0.430830 | − | 0.0197124i | ||||
\(211\) | 26.4223 | − | 8.58513i | 1.81899 | − | 0.591025i | 0.819140 | − | 0.573594i | \(-0.194451\pi\) |
0.999848 | − | 0.0174306i | \(-0.00554861\pi\) | |||||||
\(212\) | −0.0270116 | − | 0.0315603i | −0.00185517 | − | 0.00216757i | ||||
\(213\) | 3.58068 | + | 7.02749i | 0.245344 | + | 0.481516i | ||||
\(214\) | −3.44368 | + | 9.34941i | −0.235405 | + | 0.639113i | ||||
\(215\) | 4.95061 | − | 21.1736i | 0.337629 | − | 1.44403i | ||||
\(216\) | −1.91671 | + | 2.07996i | −0.130416 | + | 0.141523i | ||||
\(217\) | −3.31650 | − | 20.9396i | −0.225139 | − | 1.42147i | ||||
\(218\) | −26.0052 | + | 3.09157i | −1.76129 | + | 0.209388i | ||||
\(219\) | −4.30267 | − | 3.12607i | −0.290748 | − | 0.211241i | ||||
\(220\) | 5.46665 | − | 0.904937i | 0.368561 | − | 0.0610108i | ||||
\(221\) | −27.4703 | + | 19.9584i | −1.84786 | + | 1.34255i | ||||
\(222\) | 4.54715 | − | 4.20771i | 0.305185 | − | 0.282403i | ||||
\(223\) | −5.31608 | + | 10.4334i | −0.355991 | + | 0.698672i | −0.997664 | − | 0.0683061i | \(-0.978241\pi\) |
0.641673 | + | 0.766978i | \(0.278241\pi\) | |||||||
\(224\) | 10.9709 | + | 2.15272i | 0.733022 | + | 0.143835i | ||||
\(225\) | −3.49332 | + | 3.57725i | −0.232888 | + | 0.238483i | ||||
\(226\) | −9.06670 | − | 7.14000i | −0.603108 | − | 0.474946i | ||||
\(227\) | −7.65507 | − | 3.90045i | −0.508085 | − | 0.258882i | 0.181104 | − | 0.983464i | \(-0.442033\pi\) |
−0.689189 | + | 0.724582i | \(0.742033\pi\) | |||||||
\(228\) | 9.09303 | − | 0.725114i | 0.602201 | − | 0.0480219i | ||||
\(229\) | −4.14701 | − | 5.70787i | −0.274042 | − | 0.377187i | 0.649707 | − | 0.760185i | \(-0.274892\pi\) |
−0.923749 | + | 0.382998i | \(0.874892\pi\) | |||||||
\(230\) | 0.334825 | − | 0.190360i | 0.0220777 | − | 0.0125519i | ||||
\(231\) | −1.43934 | + | 1.98109i | −0.0947019 | + | 0.130346i | ||||
\(232\) | −14.2312 | + | 5.27532i | −0.934327 | + | 0.346342i | ||||
\(233\) | 17.7542 | − | 2.81199i | 1.16312 | − | 0.184220i | 0.455117 | − | 0.890432i | \(-0.349597\pi\) |
0.708000 | + | 0.706212i | \(0.249597\pi\) | |||||||
\(234\) | 4.55663 | + | 6.81184i | 0.297876 | + | 0.445304i | ||||
\(235\) | −9.50787 | + | 4.00456i | −0.620225 | + | 0.261229i | ||||
\(236\) | 9.63256 | + | 15.6824i | 0.627026 | + | 1.02084i | ||||
\(237\) | −11.2161 | + | 5.71488i | −0.728562 | + | 0.371221i | ||||
\(238\) | 16.0641 | + | 3.18670i | 1.04128 | + | 0.206563i | ||||
\(239\) | 3.97832 | + | 12.2440i | 0.257336 | + | 0.792000i | 0.993360 | + | 0.115045i | \(0.0367011\pi\) |
−0.736024 | + | 0.676956i | \(0.763299\pi\) | |||||||
\(240\) | −7.58858 | + | 4.73428i | −0.489841 | + | 0.305596i | ||||
\(241\) | 3.86025 | − | 11.8806i | 0.248661 | − | 0.765298i | −0.746352 | − | 0.665551i | \(-0.768197\pi\) |
0.995013 | − | 0.0997473i | \(-0.0318034\pi\) | |||||||
\(242\) | 6.53430 | − | 11.6820i | 0.420041 | − | 0.750948i | ||||
\(243\) | 0.707107 | + | 0.707107i | 0.0453609 | + | 0.0453609i | ||||
\(244\) | 1.29859 | + | 0.536318i | 0.0831336 | + | 0.0343342i | ||||
\(245\) | 5.87722 | − | 3.64972i | 0.375482 | − | 0.233172i | ||||
\(246\) | −0.335066 | + | 8.64207i | −0.0213630 | + | 0.550999i | ||||
\(247\) | 4.13467 | − | 26.1053i | 0.263083 | − | 1.66104i | ||||
\(248\) | 18.8206 | + | 23.7977i | 1.19511 | + | 1.51116i | ||||
\(249\) | 2.91219i | 0.184553i | ||||||||
\(250\) | −13.6515 | + | 7.97723i | −0.863397 | + | 0.504525i | ||||
\(251\) | 7.61447i | 0.480621i | 0.970696 | + | 0.240310i | \(0.0772492\pi\) | ||||
−0.970696 | + | 0.240310i | \(0.922751\pi\) | |||||||
\(252\) | 0.918771 | − | 3.84449i | 0.0578771 | − | 0.242180i | ||||
\(253\) | −0.0236072 | + | 0.149050i | −0.00148417 | + | 0.00937070i | ||||
\(254\) | −8.73032 | − | 0.338487i | −0.547789 | − | 0.0212386i | ||||
\(255\) | −11.1305 | + | 6.91197i | −0.697018 | + | 0.432844i | ||||
\(256\) | −15.1963 | + | 5.00727i | −0.949768 | + | 0.312955i | ||||
\(257\) | 2.44416 | + | 2.44416i | 0.152462 | + | 0.152462i | 0.779217 | − | 0.626755i | \(-0.215617\pi\) |
−0.626755 | + | 0.779217i | \(0.715617\pi\) | |||||||
\(258\) | −12.0025 | − | 6.71355i | −0.747242 | − | 0.417967i | ||||
\(259\) | −2.67546 | + | 8.23421i | −0.166245 | + | 0.511649i | ||||
\(260\) | 8.18010 | + | 24.5912i | 0.507308 | + | 1.52508i | ||||
\(261\) | 1.65821 | + | 5.10343i | 0.102640 | + | 0.315895i | ||||
\(262\) | 0.780000 | − | 3.93197i | 0.0481886 | − | 0.242918i | ||||
\(263\) | 15.1052 | − | 7.69647i | 0.931424 | − | 0.474584i | 0.0786724 | − | 0.996901i | \(-0.474932\pi\) |
0.852752 | + | 0.522316i | \(0.174932\pi\) | |||||||
\(264\) | 0.406498 | − | 3.48081i | 0.0250182 | − | 0.214229i | ||||
\(265\) | −0.0428030 | + | 0.0180279i | −0.00262937 | + | 0.00110745i | ||||
\(266\) | −10.5959 | + | 7.08786i | −0.649673 | + | 0.434585i | ||||
\(267\) | 9.51614 | − | 1.50721i | 0.582378 | − | 0.0922397i | ||||
\(268\) | −7.44739 | + | 12.1813i | −0.454922 | + | 0.744094i | ||||
\(269\) | −8.95792 | + | 12.3295i | −0.546174 | + | 0.751744i | −0.989487 | − | 0.144623i | \(-0.953803\pi\) |
0.443313 | + | 0.896367i | \(0.353803\pi\) | |||||||
\(270\) | 1.56293 | + | 2.74905i | 0.0951167 | + | 0.167302i | ||||
\(271\) | −18.2940 | − | 25.1795i | −1.11128 | − | 1.52954i | −0.819519 | − | 0.573052i | \(-0.805759\pi\) |
−0.291759 | − | 0.956492i | \(-0.594241\pi\) | |||||||
\(272\) | −22.2754 | + | 7.28878i | −1.35065 | + | 0.441947i | ||||
\(273\) | −10.2048 | − | 5.19960i | −0.617622 | − | 0.314694i | ||||
\(274\) | −7.54389 | + | 9.57959i | −0.455743 | + | 0.578724i | ||||
\(275\) | 0.896428 | − | 6.12987i | 0.0540566 | − | 0.369645i | ||||
\(276\) | −0.0571111 | − | 0.236804i | −0.00343768 | − | 0.0142539i | ||||
\(277\) | −3.66725 | + | 7.19739i | −0.220344 | + | 0.432449i | −0.974544 | − | 0.224195i | \(-0.928025\pi\) |
0.754200 | + | 0.656644i | \(0.228025\pi\) | |||||||
\(278\) | −9.88398 | − | 10.6813i | −0.592802 | − | 0.640623i | ||||
\(279\) | 8.67832 | − | 6.30517i | 0.519557 | − | 0.377480i | ||||
\(280\) | 6.02578 | − | 10.9514i | 0.360109 | − | 0.654470i | ||||
\(281\) | −7.55906 | − | 5.49198i | −0.450936 | − | 0.327624i | 0.339029 | − | 0.940776i | \(-0.389901\pi\) |
−0.789965 | + | 0.613152i | \(0.789901\pi\) | |||||||
\(282\) | 0.770277 | + | 6.47929i | 0.0458693 | + | 0.385836i | ||||
\(283\) | −2.54702 | − | 16.0813i | −0.151405 | − | 0.955933i | −0.940038 | − | 0.341069i | \(-0.889211\pi\) |
0.788633 | − | 0.614864i | \(-0.210789\pi\) | |||||||
\(284\) | 15.7269 | + | 1.22135i | 0.933221 | + | 0.0724736i | ||||
\(285\) | 2.32192 | − | 9.93076i | 0.137539 | − | 0.588247i | ||||
\(286\) | −9.52837 | − | 3.50960i | −0.563424 | − | 0.207527i | ||||
\(287\) | −5.48714 | − | 10.7691i | −0.323895 | − | 0.635681i | ||||
\(288\) | 1.54959 | + | 5.44047i | 0.0913106 | + | 0.320583i | ||||
\(289\) | −16.4843 | + | 5.35607i | −0.969664 | + | 0.315063i | ||||
\(290\) | 0.775597 | + | 16.9513i | 0.0455446 | + | 0.995412i | ||||
\(291\) | −7.01680 | − | 2.27990i | −0.411332 | − | 0.133650i | ||||
\(292\) | −9.82289 | + | 4.08070i | −0.574841 | + | 0.238805i | ||||
\(293\) | −12.7759 | + | 12.7759i | −0.746377 | + | 0.746377i | −0.973797 | − | 0.227420i | \(-0.926971\pi\) |
0.227420 | + | 0.973797i | \(0.426971\pi\) | |||||||
\(294\) | −1.18986 | − | 4.21059i | −0.0693943 | − | 0.245567i | ||||
\(295\) | 19.9794 | − | 4.92223i | 1.16325 | − | 0.286583i | ||||
\(296\) | −2.43616 | − | 12.1487i | −0.141599 | − | 0.706129i | ||||
\(297\) | −1.22376 | − | 0.193825i | −0.0710097 | − | 0.0112468i | ||||
\(298\) | 12.6232 | + | 27.3445i | 0.731241 | + | 1.58403i | ||||
\(299\) | −0.705812 | −0.0408182 | ||||||||
\(300\) | 2.45974 | + | 9.69276i | 0.142013 | + | 0.559612i | ||||
\(301\) | 19.2193 | 1.10778 | ||||||||
\(302\) | 2.20834 | + | 4.78375i | 0.127076 | + | 0.275274i | ||||
\(303\) | −5.28164 | − | 0.836530i | −0.303423 | − | 0.0480574i | ||||
\(304\) | 8.24882 | − | 16.2725i | 0.473102 | − | 0.933290i | ||||
\(305\) | 1.01306 | − | 1.20049i | 0.0580074 | − | 0.0687399i | ||||
\(306\) | 2.25341 | + | 7.97417i | 0.128819 | + | 0.455853i | ||||
\(307\) | −0.652214 | + | 0.652214i | −0.0372238 | + | 0.0372238i | −0.725474 | − | 0.688250i | \(-0.758379\pi\) |
0.688250 | + | 0.725474i | \(0.258379\pi\) | |||||||
\(308\) | 1.87888 | + | 4.52277i | 0.107059 | + | 0.257709i | ||||
\(309\) | 1.30937 | + | 0.425439i | 0.0744873 | + | 0.0242024i | ||||
\(310\) | 31.7486 | − | 11.9460i | 1.80320 | − | 0.678487i | ||||
\(311\) | −12.8402 | + | 4.17202i | −0.728098 | + | 0.236573i | −0.649531 | − | 0.760335i | \(-0.725035\pi\) |
−0.0785675 | + | 0.996909i | \(0.525035\pi\) | |||||||
\(312\) | 16.3771 | − | 0.668942i | 0.927169 | − | 0.0378714i | ||||
\(313\) | 6.05363 | + | 11.8809i | 0.342171 | + | 0.671549i | 0.996403 | − | 0.0847455i | \(-0.0270077\pi\) |
−0.654231 | + | 0.756295i | \(0.727008\pi\) | |||||||
\(314\) | −18.1597 | − | 6.68879i | −1.02481 | − | 0.377470i | ||||
\(315\) | −3.78172 | − | 2.28668i | −0.213076 | − | 0.128840i | ||||
\(316\) | −1.94930 | + | 25.1006i | −0.109657 | + | 1.41202i | ||||
\(317\) | −4.07058 | − | 25.7006i | −0.228627 | − | 1.44349i | −0.788562 | − | 0.614956i | \(-0.789174\pi\) |
0.559935 | − | 0.828536i | \(-0.310826\pi\) | |||||||
\(318\) | 0.00346767 | + | 0.0291687i | 0.000194457 | + | 0.00163570i | ||||
\(319\) | −5.37886 | − | 3.90797i | −0.301158 | − | 0.218804i | ||||
\(320\) | 0.161749 | + | 17.8878i | 0.00904204 | + | 0.999959i | ||||
\(321\) | 5.69971 | − | 4.14108i | 0.318127 | − | 0.231133i | ||||
\(322\) | 0.231210 | + | 0.249862i | 0.0128848 | + | 0.0139242i | ||||
\(323\) | 12.1326 | − | 23.8116i | 0.675078 | − | 1.32492i | ||||
\(324\) | 1.94426 | − | 0.468905i | 0.108014 | − | 0.0260503i | ||||
\(325\) | 28.9729 | − | 0.343915i | 1.60713 | − | 0.0190770i | ||||
\(326\) | 20.3136 | − | 25.7951i | 1.12507 | − | 1.42866i | ||||
\(327\) | 16.4996 | + | 8.40696i | 0.912429 | + | 0.464906i | ||||
\(328\) | 14.3970 | + | 9.58742i | 0.794939 | + | 0.529377i | ||||
\(329\) | −5.35980 | − | 7.37713i | −0.295495 | − | 0.406714i | ||||
\(330\) | −3.56871 | − | 1.61736i | −0.196451 | − | 0.0890327i | ||||
\(331\) | 2.57253 | − | 3.54078i | 0.141399 | − | 0.194619i | −0.732444 | − | 0.680827i | \(-0.761620\pi\) |
0.873843 | + | 0.486208i | \(0.161620\pi\) | |||||||
\(332\) | 4.96926 | + | 3.03809i | 0.272723 | + | 0.166737i | ||||
\(333\) | −4.32679 | + | 0.685296i | −0.237107 | + | 0.0375540i | ||||
\(334\) | −23.3424 | + | 15.6144i | −1.27724 | + | 0.854381i | ||||
\(335\) | 10.4389 | + | 12.0765i | 0.570336 | + | 0.659808i | ||||
\(336\) | −5.60161 | − | 5.57845i | −0.305593 | − | 0.304329i | ||||
\(337\) | 18.8970 | − | 9.62852i | 1.02939 | − | 0.524499i | 0.144109 | − | 0.989562i | \(-0.453968\pi\) |
0.885278 | + | 0.465063i | \(0.153968\pi\) | |||||||
\(338\) | 5.66377 | − | 28.5510i | 0.308068 | − | 1.55297i | ||||
\(339\) | 2.52171 | + | 7.76102i | 0.136960 | + | 0.421521i | ||||
\(340\) | 0.182657 | + | 26.2034i | 0.00990594 | + | 1.42108i | ||||
\(341\) | −4.10711 | + | 12.6404i | −0.222413 | + | 0.684515i | ||||
\(342\) | −5.62937 | − | 3.14877i | −0.304401 | − | 0.170266i | ||||
\(343\) | 14.1064 | + | 14.1064i | 0.761672 | + | 0.761672i | ||||
\(344\) | −23.9771 | + | 13.4768i | −1.29276 | + | 0.726620i | ||||
\(345\) | −0.271628 | − | 0.0197563i | −0.0146240 | − | 0.00106364i | ||||
\(346\) | 1.29088 | + | 0.0500491i | 0.0693979 | + | 0.00269066i | ||||
\(347\) | −5.32267 | + | 33.6060i | −0.285736 | + | 1.80407i | 0.259457 | + | 0.965755i | \(0.416456\pi\) |
−0.545193 | + | 0.838311i | \(0.683544\pi\) | |||||||
\(348\) | 10.4382 | + | 2.49456i | 0.559546 | + | 0.133722i | ||||
\(349\) | − | 30.3857i | − | 1.62651i | −0.581907 | − | 0.813255i | \(-0.697693\pi\) | ||
0.581907 | − | 0.813255i | \(-0.302307\pi\) | |||||||
\(350\) | −9.61270 | − | 10.1439i | −0.513820 | − | 0.542216i | ||||
\(351\) | − | 5.79500i | − | 0.309314i | ||||||
\(352\) | −5.51544 | − | 4.32491i | −0.293974 | − | 0.230519i | ||||
\(353\) | −2.80838 | + | 17.7314i | −0.149475 | + | 0.943750i | 0.792939 | + | 0.609301i | \(0.208550\pi\) |
−0.942414 | + | 0.334448i | \(0.891450\pi\) | |||||||
\(354\) | 0.504190 | − | 13.0042i | 0.0267974 | − | 0.691163i | ||||
\(355\) | 6.65225 | − | 16.3335i | 0.353065 | − | 0.866890i | ||||
\(356\) | 7.35568 | − | 17.8103i | 0.389850 | − | 0.943946i | ||||
\(357\) | −8.18857 | − | 8.18857i | −0.433385 | − | 0.433385i | ||||
\(358\) | 3.85573 | − | 6.89328i | 0.203782 | − | 0.364321i | ||||
\(359\) | 8.29609 | − | 25.5327i | 0.437851 | − | 1.34757i | −0.452286 | − | 0.891873i | \(-0.649391\pi\) |
0.890137 | − | 0.455694i | \(-0.150609\pi\) | |||||||
\(360\) | 6.32136 | + | 0.200969i | 0.333165 | + | 0.0105920i | ||||
\(361\) | 0.556924 | + | 1.71404i | 0.0293118 | + | 0.0902124i | ||||
\(362\) | 7.07751 | + | 1.40399i | 0.371986 | + | 0.0737923i | ||||
\(363\) | −8.43324 | + | 4.29695i | −0.442630 | + | 0.225531i | ||||
\(364\) | −19.5183 | + | 11.9887i | −1.02304 | + | 0.628377i | ||||
\(365\) | 1.00340 | + | 11.8499i | 0.0525205 | + | 0.620251i | ||||
\(366\) | −0.552371 | − | 0.825755i | −0.0288729 | − | 0.0431629i | ||||
\(367\) | −13.8004 | + | 2.18576i | −0.720373 | + | 0.114096i | −0.505848 | − | 0.862623i | \(-0.668820\pi\) |
−0.214525 | + | 0.976719i | \(0.568820\pi\) | |||||||
\(368\) | −0.463653 | − | 0.149589i | −0.0241696 | − | 0.00779786i | ||||
\(369\) | 3.59458 | − | 4.94751i | 0.187126 | − | 0.257557i | ||||
\(370\) | −13.7673 | − | 1.53945i | −0.715726 | − | 0.0800322i | ||||
\(371\) | −0.0241290 | − | 0.0332107i | −0.00125271 | − | 0.00172421i | ||||
\(372\) | −1.70541 | − | 21.3861i | −0.0884215 | − | 1.10882i | ||||
\(373\) | −15.0990 | − | 7.69335i | −0.781799 | − | 0.398346i | 0.0170680 | − | 0.999854i | \(-0.494567\pi\) |
−0.798867 | + | 0.601508i | \(0.794567\pi\) | |||||||
\(374\) | −8.06616 | − | 6.35208i | −0.417091 | − | 0.328458i | ||||
\(375\) | 11.1597 | + | 0.678624i | 0.576286 | + | 0.0350440i | ||||
\(376\) | 11.8596 | + | 5.44502i | 0.611611 | + | 0.280805i | ||||
\(377\) | 14.1174 | − | 27.7070i | 0.727085 | − | 1.42699i | ||||
\(378\) | −2.05146 | + | 1.89832i | −0.105516 | + | 0.0976393i | ||||
\(379\) | 1.79232 | − | 1.30219i | 0.0920651 | − | 0.0668892i | −0.540800 | − | 0.841151i | \(-0.681879\pi\) |
0.632866 | + | 0.774262i | \(0.281879\pi\) | |||||||
\(380\) | −14.5232 | − | 14.3221i | −0.745023 | − | 0.734708i | ||||
\(381\) | 4.99803 | + | 3.63128i | 0.256057 | + | 0.186036i | ||||
\(382\) | 4.23739 | − | 0.503753i | 0.216804 | − | 0.0257743i | ||||
\(383\) | 3.80588 | + | 24.0294i | 0.194471 | + | 1.22784i | 0.870946 | + | 0.491378i | \(0.163507\pi\) |
−0.676475 | + | 0.736465i | \(0.736493\pi\) | |||||||
\(384\) | 10.9000 | + | 3.03150i | 0.556238 | + | 0.154701i | ||||
\(385\) | 5.45607 | − | 0.461999i | 0.278067 | − | 0.0235456i | ||||
\(386\) | −7.03484 | + | 19.0992i | −0.358064 | + | 0.972124i | ||||
\(387\) | 4.41483 | + | 8.66458i | 0.224418 | + | 0.440446i | ||||
\(388\) | −11.2105 | + | 9.59475i | −0.569126 | + | 0.487100i | ||||
\(389\) | −25.8405 | + | 8.39608i | −1.31016 | + | 0.425698i | −0.879106 | − | 0.476626i | \(-0.841860\pi\) |
−0.431058 | + | 0.902324i | \(0.641860\pi\) | |||||||
\(390\) | 4.86034 | − | 17.6691i | 0.246113 | − | 0.894709i | ||||
\(391\) | −0.678728 | − | 0.220532i | −0.0343247 | − | 0.0111528i | ||||
\(392\) | −8.42609 | − | 2.36228i | −0.425582 | − | 0.119313i | ||||
\(393\) | −2.00429 | + | 2.00429i | −0.101103 | + | 0.101103i | ||||
\(394\) | −0.137902 | + | 0.0389694i | −0.00694739 | + | 0.00196325i | ||||
\(395\) | 26.0687 | + | 10.6172i | 1.31166 | + | 0.534209i | ||||
\(396\) | −1.60740 | + | 1.88597i | −0.0807748 | + | 0.0947737i | ||||
\(397\) | −9.09792 | − | 1.44097i | −0.456611 | − | 0.0723201i | −0.0761078 | − | 0.997100i | \(-0.524249\pi\) |
−0.380504 | + | 0.924779i | \(0.624249\pi\) | |||||||
\(398\) | −16.7727 | + | 7.74285i | −0.840739 | + | 0.388114i | ||||
\(399\) | 9.01415 | 0.451272 | ||||||||
\(400\) | 19.1054 | + | 5.91457i | 0.955272 | + | 0.295729i | ||||
\(401\) | −29.1170 | −1.45404 | −0.727018 | − | 0.686619i | \(-0.759094\pi\) | ||||
−0.727018 | + | 0.686619i | \(0.759094\pi\) | |||||||
\(402\) | 9.16621 | − | 4.23144i | 0.457169 | − | 0.211045i | ||||
\(403\) | −61.3975 | − | 9.72441i | −3.05843 | − | 0.484408i | ||||
\(404\) | −6.93739 | + | 8.13970i | −0.345148 | + | 0.404965i | ||||
\(405\) | 0.162207 | − | 2.23018i | 0.00806014 | − | 0.110818i | ||||
\(406\) | −14.4330 | + | 4.07861i | −0.716300 | + | 0.202418i | ||||
\(407\) | 3.83802 | − | 3.83802i | 0.190244 | − | 0.190244i | ||||
\(408\) | 15.9576 | + | 4.47377i | 0.790021 | + | 0.221484i | ||||
\(409\) | 15.5052 | + | 5.03794i | 0.766682 | + | 0.249110i | 0.666144 | − | 0.745823i | \(-0.267944\pi\) |
0.100538 | + | 0.994933i | \(0.467944\pi\) | |||||||
\(410\) | 15.1095 | − | 12.0703i | 0.746205 | − | 0.596108i | ||||
\(411\) | 8.20004 | − | 2.66435i | 0.404478 | − | 0.131423i | ||||
\(412\) | 2.09193 | − | 1.79042i | 0.103062 | − | 0.0882078i | ||||
\(413\) | 8.25677 | + | 16.2048i | 0.406289 | + | 0.797387i | ||||
\(414\) | −0.0595338 | + | 0.161631i | −0.00292593 | + | 0.00794374i | ||||
\(415\) | 4.92647 | − | 4.25843i | 0.241831 | − | 0.209038i | ||||
\(416\) | 15.9436 | − | 28.6431i | 0.781699 | − | 1.40434i | ||||
\(417\) | 1.60977 | + | 10.1637i | 0.0788308 | + | 0.497718i | ||||
\(418\) | 7.93595 | − | 0.943449i | 0.388160 | − | 0.0461456i | ||||
\(419\) | −12.1001 | − | 8.79126i | −0.591130 | − | 0.429481i | 0.251589 | − | 0.967834i | \(-0.419047\pi\) |
−0.842720 | + | 0.538353i | \(0.819047\pi\) | |||||||
\(420\) | −7.84711 | + | 4.06745i | −0.382900 | + | 0.198471i | ||||
\(421\) | 8.70096 | − | 6.32162i | 0.424059 | − | 0.308097i | −0.355210 | − | 0.934787i | \(-0.615591\pi\) |
0.779269 | + | 0.626690i | \(0.215591\pi\) | |||||||
\(422\) | −28.8376 | + | 26.6849i | −1.40379 | + | 1.29900i | ||||
\(423\) | 2.09463 | − | 4.11093i | 0.101844 | − | 0.199880i | ||||
\(424\) | 0.0533900 | + | 0.0245126i | 0.00259285 | + | 0.00119044i | ||||
\(425\) | 27.9686 | + | 8.72192i | 1.35668 | + | 0.423075i | ||||
\(426\) | −8.76307 | − | 6.90089i | −0.424572 | − | 0.334349i | ||||
\(427\) | 1.23706 | + | 0.630314i | 0.0598656 | + | 0.0305030i | ||||
\(428\) | −1.12007 | − | 14.0459i | −0.0541408 | − | 0.678932i | ||||
\(429\) | 4.22035 | + | 5.80881i | 0.203760 | + | 0.280452i | ||||
\(430\) | 6.19382 | + | 30.1213i | 0.298692 | + | 1.45258i | ||||
\(431\) | −3.12873 | + | 4.30632i | −0.150705 | + | 0.207428i | −0.877694 | − | 0.479221i | \(-0.840919\pi\) |
0.726989 | + | 0.686649i | \(0.240919\pi\) | |||||||
\(432\) | 1.22818 | − | 3.80678i | 0.0590911 | − | 0.183154i | ||||
\(433\) | −10.9195 | + | 1.72947i | −0.524755 | + | 0.0831131i | −0.413191 | − | 0.910644i | \(-0.635586\pi\) |
−0.111564 | + | 0.993757i | \(0.535586\pi\) | |||||||
\(434\) | 16.6701 | + | 24.9206i | 0.800190 | + | 1.19623i | ||||
\(435\) | 6.20858 | − | 10.2678i | 0.297678 | − | 0.492302i | ||||
\(436\) | 31.5582 | − | 19.3839i | 1.51136 | − | 0.928319i | ||||
\(437\) | 0.494962 | − | 0.252196i | 0.0236772 | − | 0.0120642i | ||||
\(438\) | 7.37759 | + | 1.46352i | 0.352515 | + | 0.0699298i | ||||
\(439\) | −3.08468 | − | 9.49368i | −0.147224 | − | 0.453109i | 0.850066 | − | 0.526676i | \(-0.176562\pi\) |
−0.997290 | + | 0.0735669i | \(0.976562\pi\) | |||||||
\(440\) | −6.48279 | + | 4.40224i | −0.309055 | + | 0.209868i | ||||
\(441\) | −0.956078 | + | 2.94251i | −0.0455275 | + | 0.140119i | ||||
\(442\) | 23.4419 | − | 41.9093i | 1.11502 | − | 1.99342i | ||||
\(443\) | 18.8815 | + | 18.8815i | 0.897089 | + | 0.897089i | 0.995178 | − | 0.0980884i | \(-0.0312728\pi\) |
−0.0980884 | + | 0.995178i | \(0.531273\pi\) | |||||||
\(444\) | −3.34447 | + | 8.09799i | −0.158722 | + | 0.384314i | ||||
\(445\) | −16.4649 | − | 13.8942i | −0.780512 | − | 0.658649i | ||||
\(446\) | 0.641572 | − | 16.5475i | 0.0303793 | − | 0.783549i | ||||
\(447\) | 3.33148 | − | 21.0341i | 0.157574 | − | 0.994881i | ||||
\(448\) | −15.3626 | + | 3.73876i | −0.725815 | + | 0.176640i | ||||
\(449\) | − | 37.5326i | − | 1.77127i | −0.464381 | − | 0.885635i | \(-0.653723\pi\) | ||
0.464381 | − | 0.885635i | \(-0.346277\pi\) | |||||||
\(450\) | 2.36505 | − | 6.66382i | 0.111490 | − | 0.314136i | ||||
\(451\) | 7.57714i | 0.356794i | ||||||||
\(452\) | 15.8738 | + | 3.79358i | 0.746642 | + | 0.178435i | ||||
\(453\) | 0.582821 | − | 3.67979i | 0.0273833 | − | 0.172892i | ||||
\(454\) | 12.1411 | + | 0.470727i | 0.569809 | + | 0.0220923i | ||||
\(455\) | 6.12620 | + | 24.8664i | 0.287201 | + | 1.16575i | ||||
\(456\) | −11.2457 | + | 6.32084i | −0.526626 | + | 0.296001i | ||||
\(457\) | −5.19425 | − | 5.19425i | −0.242977 | − | 0.242977i | 0.575104 | − | 0.818081i | \(-0.304962\pi\) |
−0.818081 | + | 0.575104i | \(0.804962\pi\) | |||||||
\(458\) | 8.70805 | + | 4.87082i | 0.406900 | + | 0.227598i | ||||
\(459\) | 1.81066 | − | 5.57262i | 0.0845141 | − | 0.260108i | ||||
\(460\) | −0.317082 | + | 0.442886i | −0.0147840 | + | 0.0206497i | ||||
\(461\) | −0.978097 | − | 3.01027i | −0.0455545 | − | 0.140202i | 0.925692 | − | 0.378278i | \(-0.123484\pi\) |
−0.971247 | + | 0.238075i | \(0.923484\pi\) | |||||||
\(462\) | 0.673852 | − | 3.39688i | 0.0313504 | − | 0.158037i | ||||
\(463\) | 13.3799 | − | 6.81738i | 0.621815 | − | 0.316830i | −0.114548 | − | 0.993418i | \(-0.536542\pi\) |
0.736362 | + | 0.676587i | \(0.236542\pi\) | |||||||
\(464\) | 15.1461 | − | 15.2089i | 0.703138 | − | 0.706057i | ||||
\(465\) | −23.3564 | − | 5.46097i | −1.08312 | − | 0.253246i | ||||
\(466\) | −21.1297 | + | 14.1342i | −0.978813 | + | 0.654755i | ||||
\(467\) | −28.7602 | + | 4.55517i | −1.33086 | + | 0.210788i | −0.781034 | − | 0.624488i | \(-0.785308\pi\) |
−0.549830 | + | 0.835276i | \(0.685308\pi\) | |||||||
\(468\) | −9.88836 | − | 6.04552i | −0.457090 | − | 0.279454i | ||||
\(469\) | −8.29302 | + | 11.4144i | −0.382936 | + | 0.527066i | ||||
\(470\) | 9.83446 | − | 10.7776i | 0.453630 | − | 0.497132i | ||||
\(471\) | 8.04337 | + | 11.0708i | 0.370619 | + | 0.510113i | ||||
\(472\) | −21.6638 | − | 14.4267i | −0.997158 | − | 0.664041i | ||||
\(473\) | −10.7355 | − | 5.47003i | −0.493621 | − | 0.251512i | ||||
\(474\) | 11.0140 | − | 13.9861i | 0.505891 | − | 0.642404i | ||||
\(475\) | −20.1949 | + | 10.5936i | −0.926603 | + | 0.486067i | ||||
\(476\) | −22.5152 | + | 5.43010i | −1.03198 | + | 0.248888i | ||||
\(477\) | 0.00942968 | − | 0.0185068i | 0.000431755 | − | 0.000847368i | ||||
\(478\) | −12.3657 | − | 13.3632i | −0.565594 | − | 0.611220i | ||||
\(479\) | −28.4711 | + | 20.6854i | −1.30088 | + | 0.945142i | −0.999964 | − | 0.00850960i | \(-0.997291\pi\) |
−0.300913 | + | 0.953652i | \(0.597291\pi\) | |||||||
\(480\) | 6.93756 | − | 10.5769i | 0.316655 | − | 0.482766i | ||||
\(481\) | 20.5379 | + | 14.9217i | 0.936449 | + | 0.680370i | ||||
\(482\) | 2.08555 | + | 17.5429i | 0.0949941 | + | 0.799056i | ||||
\(483\) | −0.0376563 | − | 0.237753i | −0.00171342 | − | 0.0108181i | ||||
\(484\) | −1.46566 | + | 18.8729i | −0.0666209 | + | 0.857857i | ||||
\(485\) | 6.40366 | + | 15.2040i | 0.290775 | + | 0.690376i | ||||
\(486\) | −1.32706 | − | 0.488796i | −0.0601965 | − | 0.0221722i | ||||
\(487\) | −1.88944 | − | 3.70823i | −0.0856186 | − | 0.168036i | 0.844227 | − | 0.535986i | \(-0.180060\pi\) |
−0.929846 | + | 0.367950i | \(0.880060\pi\) | |||||||
\(488\) | −1.98529 | + | 0.0810916i | −0.0898697 | + | 0.00367084i | ||||
\(489\) | −22.0804 | + | 7.17436i | −0.998510 | + | 0.324436i | ||||
\(490\) | −5.38302 | + | 8.16990i | −0.243180 | + | 0.369078i | ||||
\(491\) | 38.8459 | + | 12.6218i | 1.75309 | + | 0.569614i | 0.996448 | − | 0.0842114i | \(-0.0268371\pi\) |
0.756645 | + | 0.653826i | \(0.226837\pi\) | |||||||
\(492\) | −4.69227 | − | 11.2950i | −0.211544 | − | 0.509220i | ||||
\(493\) | 22.2328 | − | 22.2328i | 1.00132 | − | 1.00132i | ||||
\(494\) | 10.1647 | + | 35.9700i | 0.457331 | + | 1.61837i | ||||
\(495\) | 1.46159 | + | 2.35362i | 0.0656934 | + | 0.105788i | ||||
\(496\) | −38.2715 | − | 19.4006i | −1.71844 | − | 0.871111i | ||||
\(497\) | 15.3960 | + | 2.43849i | 0.690607 | + | 0.109381i | ||||
\(498\) | −1.72617 | − | 3.73926i | −0.0773516 | − | 0.167560i | ||||
\(499\) | 26.9181 | 1.20502 | 0.602510 | − | 0.798111i | \(-0.294167\pi\) | ||||
0.602510 | + | 0.798111i | \(0.294167\pi\) | |||||||
\(500\) | 12.8001 | − | 18.3346i | 0.572440 | − | 0.819947i | ||||
\(501\) | 19.8579 | 0.887187 | ||||||||
\(502\) | −4.51339 | − | 9.77699i | −0.201443 | − | 0.436368i | ||||
\(503\) | −15.6815 | − | 2.48371i | −0.699205 | − | 0.110743i | −0.203296 | − | 0.979117i | \(-0.565165\pi\) |
−0.495909 | + | 0.868374i | \(0.665165\pi\) | |||||||
\(504\) | 1.09908 | + | 5.48093i | 0.0489569 | + | 0.244140i | ||||
\(505\) | 6.30809 | + | 10.1580i | 0.280706 | + | 0.452027i | ||||
\(506\) | −0.0580361 | − | 0.205373i | −0.00258002 | − | 0.00912996i | ||||
\(507\) | −14.5537 | + | 14.5537i | −0.646351 | + | 0.646351i | ||||
\(508\) | 11.4104 | − | 4.74019i | 0.506254 | − | 0.210312i | ||||
\(509\) | −16.5749 | − | 5.38552i | −0.734670 | − | 0.238709i | −0.0822982 | − | 0.996608i | \(-0.526226\pi\) |
−0.652372 | + | 0.757899i | \(0.726226\pi\) | |||||||
\(510\) | 10.1946 | − | 15.4725i | 0.451423 | − | 0.685132i | ||||
\(511\) | −9.99670 | + | 3.24813i | −0.442228 | + | 0.143689i | ||||
\(512\) | 16.5441 | − | 15.4368i | 0.731151 | − | 0.682216i | ||||
\(513\) | 2.07063 | + | 4.06383i | 0.0914204 | + | 0.179423i | ||||
\(514\) | −4.58705 | − | 1.68955i | −0.202326 | − | 0.0745230i | ||||
\(515\) | −1.19495 | − | 2.83713i | −0.0526559 | − | 0.125019i | ||||
\(516\) | 19.3906 | + | 1.50587i | 0.853623 | + | 0.0662920i | ||||
\(517\) | 0.894269 | + | 5.64620i | 0.0393299 | + | 0.248319i | ||||
\(518\) | −1.44545 | − | 12.1586i | −0.0635094 | − | 0.534218i | ||||
\(519\) | −0.739015 | − | 0.536926i | −0.0324392 | − | 0.0235684i | ||||
\(520\) | −25.0794 | − | 26.7264i | −1.09981 | − | 1.17203i | ||||
\(521\) | 33.3910 | − | 24.2600i | 1.46289 | − | 1.06285i | 0.480286 | − | 0.877112i | \(-0.340533\pi\) |
0.982600 | − | 0.185737i | \(-0.0594672\pi\) | |||||||
\(522\) | −5.15414 | − | 5.56993i | −0.225591 | − | 0.243789i | ||||
\(523\) | 13.4688 | − | 26.4340i | 0.588950 | − | 1.15588i | −0.383668 | − | 0.923471i | \(-0.625339\pi\) |
0.972618 | − | 0.232409i | \(-0.0746607\pi\) | |||||||
\(524\) | 1.32911 | + | 5.51099i | 0.0580624 | + | 0.240749i | ||||
\(525\) | 1.66161 | + | 9.74119i | 0.0725184 | + | 0.425140i | ||||
\(526\) | −14.8331 | + | 18.8357i | −0.646752 | + | 0.821275i | ||||
\(527\) | −56.0031 | − | 28.5350i | −2.43953 | − | 1.24300i | ||||
\(528\) | 1.54127 | + | 4.71031i | 0.0670750 | + | 0.204990i | ||||
\(529\) | 13.5103 | + | 18.5954i | 0.587406 | + | 0.808495i | ||||
\(530\) | 0.0442732 | − | 0.0485189i | 0.00192311 | − | 0.00210753i | ||||
\(531\) | −5.40894 | + | 7.44477i | −0.234728 | + | 0.323075i | ||||
\(532\) | 9.40384 | − | 15.3814i | 0.407708 | − | 0.666869i | ||||
\(533\) | −35.0028 | + | 5.54389i | −1.51614 | + | 0.240133i | ||||
\(534\) | −11.3254 | + | 7.57585i | −0.490096 | + | 0.327839i | ||||
\(535\) | −15.3399 | − | 3.58663i | −0.663201 | − | 0.155064i | ||||
\(536\) | 2.34210 | − | 20.0552i | 0.101163 | − | 0.866254i | ||||
\(537\) | −4.97625 | + | 2.53553i | −0.214741 | + | 0.109416i | ||||
\(538\) | 4.19379 | − | 21.1408i | 0.180807 | − | 0.911446i | ||||
\(539\) | −1.18459 | − | 3.64581i | −0.0510241 | − | 0.157036i | ||||
\(540\) | −3.63627 | − | 2.60337i | −0.156480 | − | 0.112031i | ||||
\(541\) | −1.34195 | + | 4.13009i | −0.0576948 | + | 0.177566i | −0.975751 | − | 0.218884i | \(-0.929758\pi\) |
0.918056 | + | 0.396451i | \(0.129758\pi\) | |||||||
\(542\) | 38.4143 | + | 21.4869i | 1.65004 | + | 0.922943i | ||||
\(543\) | −3.60771 | − | 3.60771i | −0.154822 | − | 0.154822i | ||||
\(544\) | 24.2814 | − | 22.5623i | 1.04105 | − | 0.967352i | ||||
\(545\) | −9.90513 | − | 40.2052i | −0.424289 | − | 1.72220i | ||||
\(546\) | 16.1850 | + | 0.627514i | 0.692653 | + | 0.0268551i | ||||
\(547\) | −2.17145 | + | 13.7100i | −0.0928447 | + | 0.586198i | 0.896775 | + | 0.442487i | \(0.145904\pi\) |
−0.989620 | + | 0.143711i | \(0.954096\pi\) | |||||||
\(548\) | 4.00818 | − | 16.7718i | 0.171221 | − | 0.716454i | ||||
\(549\) | 0.702490i | 0.0299815i | ||||||||
\(550\) | 2.48240 | + | 8.40211i | 0.105850 | + | 0.358267i | ||||
\(551\) | 24.4744i | 1.04264i | ||||||||
\(552\) | 0.213694 | + | 0.270205i | 0.00909541 | + | 0.0115007i | ||||
\(553\) | −3.89191 | + | 24.5725i | −0.165501 | + | 1.04493i | ||||
\(554\) | 0.442583 | − | 11.4152i | 0.0188035 | − | 0.484985i | ||||
\(555\) | 7.48625 | + | 6.31741i | 0.317774 | + | 0.268159i | ||||
\(556\) | 19.0223 | + | 7.85622i | 0.806725 | + | 0.333178i | ||||
\(557\) | 16.1147 | + | 16.1147i | 0.682801 | + | 0.682801i | 0.960630 | − | 0.277830i | \(-0.0896150\pi\) |
−0.277830 | + | 0.960630i | \(0.589615\pi\) | |||||||
\(558\) | −7.40565 | + | 13.2398i | −0.313506 | + | 0.560486i | ||||
\(559\) | 17.4142 | − | 53.5952i | 0.736540 | − | 2.26684i | ||||
\(560\) | −1.24580 | + | 17.6333i | −0.0526448 | + | 0.745143i | ||||
\(561\) | 2.24343 | + | 6.90456i | 0.0947176 | + | 0.291511i | ||||
\(562\) | 12.9612 | + | 2.57116i | 0.546733 | + | 0.108458i | ||||
\(563\) | −19.6615 | + | 10.0181i | −0.828635 | + | 0.422211i | −0.816240 | − | 0.577712i | \(-0.803946\pi\) |
−0.0123950 | + | 0.999923i | \(0.503946\pi\) | |||||||
\(564\) | −4.82956 | − | 7.86284i | −0.203361 | − | 0.331085i | ||||
\(565\) | 9.44166 | − | 15.6146i | 0.397213 | − | 0.656913i | ||||
\(566\) | 12.8024 | + | 19.1387i | 0.538124 | + | 0.804458i | ||||
\(567\) | 1.95204 | − | 0.309174i | 0.0819782 | − | 0.0129841i | ||||
\(568\) | −20.9173 | + | 7.75375i | −0.877672 | + | 0.325340i | ||||
\(569\) | 1.69582 | − | 2.33410i | 0.0710926 | − | 0.0978505i | −0.771990 | − | 0.635635i | \(-0.780738\pi\) |
0.843083 | + | 0.537784i | \(0.180738\pi\) | |||||||
\(570\) | 2.90500 | + | 14.1274i | 0.121677 | + | 0.591732i | ||||
\(571\) | 9.81495 | + | 13.5091i | 0.410743 | + | 0.565339i | 0.963399 | − | 0.268070i | \(-0.0863859\pi\) |
−0.552657 | + | 0.833409i | \(0.686386\pi\) | |||||||
\(572\) | 14.3147 | − | 1.14151i | 0.598529 | − | 0.0477291i | ||||
\(573\) | −2.68851 | − | 1.36986i | −0.112314 | − | 0.0572269i | ||||
\(574\) | 13.4288 | + | 10.5751i | 0.560506 | + | 0.441397i | ||||
\(575\) | 0.363774 | + | 0.488395i | 0.0151704 | + | 0.0203675i | ||||
\(576\) | −5.21446 | − | 6.06707i | −0.217269 | − | 0.252795i | ||||
\(577\) | −18.6192 | + | 36.5421i | −0.775126 | + | 1.52127i | 0.0764710 | + | 0.997072i | \(0.475635\pi\) |
−0.851597 | + | 0.524198i | \(0.824365\pi\) | |||||||
\(578\) | 17.9911 | − | 16.6481i | 0.748331 | − | 0.692469i | ||||
\(579\) | 11.6435 | − | 8.45950i | 0.483888 | − | 0.351565i | ||||
\(580\) | −11.0435 | − | 21.3057i | −0.458558 | − | 0.884672i | ||||
\(581\) | 4.65637 | + | 3.38305i | 0.193179 | + | 0.140353i | ||||
\(582\) | 10.3610 | − | 1.23174i | 0.429476 | − | 0.0510574i | ||||
\(583\) | 0.00402586 | + | 0.0254183i | 0.000166734 | + | 0.00105272i | ||||
\(584\) | 10.1938 | − | 11.0620i | 0.421823 | − | 0.457750i | ||||
\(585\) | −9.80323 | + | 8.47388i | −0.405314 | + | 0.350352i | ||||
\(586\) | 8.83151 | − | 23.9771i | 0.364826 | − | 0.990484i | ||||
\(587\) | 11.6401 | + | 22.8450i | 0.480439 | + | 0.942915i | 0.996275 | + | 0.0862280i | \(0.0274814\pi\) |
−0.515836 | + | 0.856687i | \(0.672519\pi\) | |||||||
\(588\) | 4.02357 | + | 4.70113i | 0.165929 | + | 0.193871i | ||||
\(589\) | 46.5307 | − | 15.1187i | 1.91726 | − | 0.622956i | ||||
\(590\) | −22.7360 | + | 18.1627i | −0.936027 | + | 0.747748i | ||||
\(591\) | 0.0963705 | + | 0.0313127i | 0.00396415 | + | 0.00128803i | ||||
\(592\) | 10.3290 | + | 14.1550i | 0.424521 | + | 0.581765i | ||||
\(593\) | 5.99382 | − | 5.99382i | 0.246137 | − | 0.246137i | −0.573246 | − | 0.819383i | \(-0.694316\pi\) |
0.819383 | + | 0.573246i | \(0.194316\pi\) | |||||||
\(594\) | 1.68620 | − | 0.476500i | 0.0691855 | − | 0.0195510i | ||||
\(595\) | −1.87842 | + | 25.8263i | −0.0770078 | + | 1.05878i | ||||
\(596\) | −32.4163 | − | 27.6282i | −1.32783 | − | 1.13169i | ||||
\(597\) | 12.9020 | + | 2.04348i | 0.528044 | + | 0.0836339i | ||||
\(598\) | 0.906264 | − | 0.418363i | 0.0370599 | − | 0.0171081i | ||||
\(599\) | −0.175663 | −0.00717738 | −0.00358869 | − | 0.999994i | \(-0.501142\pi\) | ||||
−0.00358869 | + | 0.999994i | \(0.501142\pi\) | |||||||
\(600\) | −8.90360 | − | 10.9875i | −0.363488 | − | 0.448564i | ||||
\(601\) | 11.4170 | 0.465710 | 0.232855 | − | 0.972511i | \(-0.425193\pi\) | ||||
0.232855 | + | 0.972511i | \(0.425193\pi\) | |||||||
\(602\) | −24.6776 | + | 11.3920i | −1.00578 | + | 0.464304i | ||||
\(603\) | −7.05089 | − | 1.11675i | −0.287134 | − | 0.0454776i | ||||
\(604\) | −5.67103 | − | 4.83337i | −0.230751 | − | 0.196667i | ||||
\(605\) | 19.6007 | + | 7.98294i | 0.796883 | + | 0.324553i | ||||
\(606\) | 7.27748 | − | 2.05653i | 0.295628 | − | 0.0835409i | ||||
\(607\) | −10.6407 | + | 10.6407i | −0.431893 | + | 0.431893i | −0.889272 | − | 0.457379i | \(-0.848788\pi\) |
0.457379 | + | 0.889272i | \(0.348788\pi\) | |||||||
\(608\) | −0.946166 | + | 25.7833i | −0.0383721 | + | 1.04565i | ||||
\(609\) | 10.0863 | + | 3.27724i | 0.408718 | + | 0.132800i | ||||
\(610\) | −0.589188 | + | 2.14191i | −0.0238555 | + | 0.0867234i | ||||
\(611\) | −25.4284 | + | 8.26219i | −1.02872 | + | 0.334252i | ||||
\(612\) | −7.61998 | − | 8.90316i | −0.308019 | − | 0.359889i | ||||
\(613\) | 0.467306 | + | 0.917140i | 0.0188743 | + | 0.0370429i | 0.900251 | − | 0.435371i | \(-0.143383\pi\) |
−0.881377 | + | 0.472414i | \(0.843383\pi\) | |||||||
\(614\) | 0.450851 | − | 1.22404i | 0.0181949 | − | 0.0493981i | ||||
\(615\) | −13.6258 | + | 1.15378i | −0.549446 | + | 0.0465250i | ||||
\(616\) | −5.09332 | − | 4.69356i | −0.205216 | − | 0.189109i | ||||
\(617\) | 6.87162 | + | 43.3857i | 0.276641 | + | 1.74664i | 0.599665 | + | 0.800251i | \(0.295300\pi\) |
−0.323024 | + | 0.946391i | \(0.604700\pi\) | |||||||
\(618\) | −1.93340 | + | 0.229849i | −0.0777729 | + | 0.00924588i | ||||
\(619\) | 15.7867 | + | 11.4697i | 0.634520 | + | 0.461006i | 0.857963 | − | 0.513711i | \(-0.171730\pi\) |
−0.223443 | + | 0.974717i | \(0.571730\pi\) | |||||||
\(620\) | −33.6844 | + | 34.1573i | −1.35280 | + | 1.37179i | ||||
\(621\) | 0.0985357 | − | 0.0715904i | 0.00395410 | − | 0.00287282i | ||||
\(622\) | 14.0139 | − | 12.9677i | 0.561905 | − | 0.519959i | ||||
\(623\) | 8.64485 | − | 16.9665i | 0.346349 | − | 0.679747i | ||||
\(624\) | −20.6317 | + | 10.5663i | −0.825928 | + | 0.422989i | ||||
\(625\) | −15.1706 | − | 19.8709i | −0.606823 | − | 0.794837i | ||||
\(626\) | −14.8152 | − | 11.6669i | −0.592133 | − | 0.466303i | ||||
\(627\) | −5.03515 | − | 2.56554i | −0.201084 | − | 0.102458i | ||||
\(628\) | 27.2818 | − | 2.17556i | 1.08866 | − | 0.0868143i | ||||
\(629\) | 15.0875 | + | 20.7662i | 0.601579 | + | 0.828002i | ||||
\(630\) | 6.21114 | + | 0.694528i | 0.247458 | + | 0.0276706i | ||||
\(631\) | −19.8296 | + | 27.2931i | −0.789403 | + | 1.08652i | 0.204779 | + | 0.978808i | \(0.434353\pi\) |
−0.994182 | + | 0.107712i | \(0.965647\pi\) | |||||||
\(632\) | −12.3752 | − | 33.3847i | −0.492259 | − | 1.32797i | ||||
\(633\) | 27.4400 | − | 4.34607i | 1.09064 | − | 0.172741i | ||||
\(634\) | 20.4604 | + | 30.5869i | 0.812587 | + | 1.21476i | ||||
\(635\) | −1.16556 | − | 13.7650i | −0.0462540 | − | 0.546246i | ||||
\(636\) | −0.0217419 | − | 0.0353973i | −0.000862124 | − | 0.00140359i | ||||
\(637\) | 15.9752 | − | 8.13975i | 0.632958 | − | 0.322508i | ||||
\(638\) | 9.22287 | + | 1.82958i | 0.365137 | + | 0.0724337i | ||||
\(639\) | 2.43726 | + | 7.50111i | 0.0964165 | + | 0.296739i | ||||
\(640\) | −10.8105 | − | 22.8721i | −0.427322 | − | 0.904099i | ||||
\(641\) | −6.34839 | + | 19.5383i | −0.250746 | + | 0.771718i | 0.743892 | + | 0.668300i | \(0.232978\pi\) |
−0.994638 | + | 0.103418i | \(0.967022\pi\) | |||||||
\(642\) | −4.86385 | + | 8.69559i | −0.191961 | + | 0.343188i | ||||
\(643\) | 7.64052 | + | 7.64052i | 0.301313 | + | 0.301313i | 0.841527 | − | 0.540215i | \(-0.181657\pi\) |
−0.540215 | + | 0.841527i | \(0.681657\pi\) | |||||||
\(644\) | −0.444977 | − | 0.183776i | −0.0175345 | − | 0.00724177i | ||||
\(645\) | 8.20193 | − | 20.1384i | 0.322951 | − | 0.792950i | ||||
\(646\) | −1.46423 | + | 37.7657i | −0.0576093 | + | 1.48587i | ||||
\(647\) | −0.562777 | + | 3.55324i | −0.0221251 | + | 0.139692i | −0.996278 | − | 0.0861968i | \(-0.972529\pi\) |
0.974153 | + | 0.225889i | \(0.0725286\pi\) | |||||||
\(648\) | −2.21849 | + | 1.75451i | −0.0871505 | + | 0.0689237i | ||||
\(649\) | − | 11.4017i | − | 0.447556i | ||||||
\(650\) | −36.9974 | + | 17.6150i | −1.45116 | + | 0.690917i | ||||
\(651\) | − | 21.2006i | − | 0.830916i | ||||||
\(652\) | −10.7929 | + | 45.1617i | −0.422682 | + | 1.76867i | ||||
\(653\) | −5.01226 | + | 31.6462i | −0.196145 | + | 1.23841i | 0.671417 | + | 0.741080i | \(0.265686\pi\) |
−0.867562 | + | 0.497330i | \(0.834314\pi\) | |||||||
\(654\) | −26.1686 | − | 1.01459i | −1.02327 | − | 0.0396738i | ||||
\(655\) | 6.32143 | + | 0.459776i | 0.246999 | + | 0.0179649i | ||||
\(656\) | −24.1686 | − | 3.77662i | −0.943623 | − | 0.147452i | ||||
\(657\) | −3.76067 | − | 3.76067i | −0.146718 | − | 0.146718i | ||||
\(658\) | 11.2547 | + | 6.29528i | 0.438754 | + | 0.245416i | ||||
\(659\) | −8.42444 | + | 25.9278i | −0.328170 | + | 1.01000i | 0.641820 | + | 0.766856i | \(0.278180\pi\) |
−0.969989 | + | 0.243147i | \(0.921820\pi\) | |||||||
\(660\) | 5.54091 | − | 0.0386241i | 0.215679 | − | 0.00150344i | ||||
\(661\) | 4.18817 | + | 12.8899i | 0.162901 | + | 0.501358i | 0.998875 | − | 0.0474105i | \(-0.0150969\pi\) |
−0.835974 | + | 0.548768i | \(0.815097\pi\) | |||||||
\(662\) | −1.20437 | + | 6.07121i | −0.0468092 | + | 0.235964i | ||||
\(663\) | −30.2543 | + | 15.4153i | −1.17498 | + | 0.598682i | ||||
\(664\) | −8.18133 | − | 0.955437i | −0.317497 | − | 0.0370782i | ||||
\(665\) | −13.1812 | − | 15.2490i | −0.511144 | − | 0.591330i | ||||
\(666\) | 5.14940 | − | 3.44458i | 0.199535 | − | 0.133475i | ||||
\(667\) | 0.645523 | − | 0.102241i | 0.0249948 | − | 0.00395878i | ||||
\(668\) | 20.7164 | − | 33.8848i | 0.801542 | − | 1.31104i | ||||
\(669\) | −6.88277 | + | 9.47333i | −0.266103 | + | 0.366260i | ||||
\(670\) | −20.5617 | − | 9.31868i | −0.794368 | − | 0.360012i | ||||
\(671\) | −0.511605 | − | 0.704165i | −0.0197503 | − | 0.0271840i | ||||
\(672\) | 10.4990 | + | 3.84244i | 0.405009 | + | 0.148225i | ||||
\(673\) | −10.6723 | − | 5.43780i | −0.411387 | − | 0.209612i | 0.236034 | − | 0.971745i | \(-0.424152\pi\) |
−0.647421 | + | 0.762133i | \(0.724152\pi\) | |||||||
\(674\) | −18.5566 | + | 23.5641i | −0.714774 | + | 0.907653i | ||||
\(675\) | −4.00992 | + | 2.98673i | −0.154342 | + | 0.114959i | ||||
\(676\) | 9.65099 | + | 40.0166i | 0.371192 | + | 1.53910i | ||||
\(677\) | −10.4290 | + | 20.4681i | −0.400819 | + | 0.786652i | −0.999902 | − | 0.0140353i | \(-0.995532\pi\) |
0.599082 | + | 0.800688i | \(0.295532\pi\) | |||||||
\(678\) | −7.83814 | − | 8.47044i | −0.301022 | − | 0.325305i | ||||
\(679\) | −11.7967 | + | 8.57080i | −0.452716 | + | 0.328917i | ||||
\(680\) | −15.7663 | − | 33.5370i | −0.604611 | − | 1.28608i | ||||
\(681\) | −6.95065 | − | 5.04995i | −0.266350 | − | 0.193514i | ||||
\(682\) | −2.21892 | − | 18.6647i | −0.0849668 | − | 0.714709i | ||||
\(683\) | −7.59793 | − | 47.9715i | −0.290727 | − | 1.83558i | −0.510319 | − | 0.859985i | \(-0.670473\pi\) |
0.219592 | − | 0.975592i | \(-0.429527\pi\) | |||||||
\(684\) | 9.09451 | + | 0.706276i | 0.347737 | + | 0.0270051i | ||||
\(685\) | −16.4979 | − | 9.97575i | −0.630353 | − | 0.381154i | ||||
\(686\) | −26.4740 | − | 9.75120i | −1.01078 | − | 0.372303i | ||||
\(687\) | −3.20305 | − | 6.28633i | −0.122204 | − | 0.239839i | ||||
\(688\) | 22.7984 | − | 31.5164i | 0.869181 | − | 1.20155i | ||||
\(689\) | −0.114475 | + | 0.0371951i | −0.00436114 | + | 0.00141702i | ||||
\(690\) | 0.360482 | − | 0.135638i | 0.0137233 | − | 0.00516364i | ||||
\(691\) | −15.8467 | − | 5.14891i | −0.602838 | − | 0.195874i | −0.00833210 | − | 0.999965i | \(-0.502652\pi\) |
−0.594506 | + | 0.804091i | \(0.702652\pi\) | |||||||
\(692\) | −1.68715 | + | 0.700890i | −0.0641359 | + | 0.0266438i | ||||
\(693\) | −1.73153 | + | 1.73153i | −0.0657756 | + | 0.0657756i | ||||
\(694\) | −13.0853 | − | 46.3051i | −0.496711 | − | 1.75772i | ||||
\(695\) | 14.8397 | − | 17.5853i | 0.562902 | − | 0.667049i | ||||
\(696\) | −14.8813 | + | 2.98411i | −0.564073 | + | 0.113113i | ||||
\(697\) | −35.3918 | − | 5.60551i | −1.34056 | − | 0.212324i | ||||
\(698\) | 18.0108 | + | 39.0153i | 0.681719 | + | 1.47675i | ||||
\(699\) | 17.9755 | 0.679897 | ||||||||
\(700\) | 18.3554 | + | 7.32700i | 0.693770 | + | 0.276935i | ||||
\(701\) | −11.4107 | −0.430977 | −0.215488 | − | 0.976506i | \(-0.569134\pi\) | ||||
−0.215488 | + | 0.976506i | \(0.569134\pi\) | |||||||
\(702\) | 3.43492 | + | 7.44078i | 0.129643 | + | 0.280834i | ||||
\(703\) | −19.7343 | − | 3.12560i | −0.744292 | − | 0.117884i | ||||
\(704\) | 9.64538 | + | 2.28398i | 0.363524 | + | 0.0860806i | ||||
\(705\) | −10.0173 | + | 2.46790i | −0.377272 | + | 0.0929465i | ||||
\(706\) | −6.90415 | − | 24.4318i | −0.259841 | − | 0.919505i | ||||
\(707\) | −7.47316 | + | 7.47316i | −0.281057 | + | 0.281057i | ||||
\(708\) | 7.06070 | + | 16.9962i | 0.265357 | + | 0.638757i | ||||
\(709\) | −22.2796 | − | 7.23907i | −0.836727 | − | 0.271869i | −0.140851 | − | 0.990031i | \(-0.544984\pi\) |
−0.695876 | + | 0.718162i | \(0.744984\pi\) | |||||||
\(710\) | 1.13998 | + | 24.9152i | 0.0427829 | + | 0.935053i | ||||
\(711\) | −11.9720 | + | 3.88994i | −0.448985 | + | 0.145884i | ||||
\(712\) | 1.11218 | + | 27.2285i | 0.0416808 | + | 1.02043i | ||||
\(713\) | −0.593144 | − | 1.16411i | −0.0222134 | − | 0.0435963i | ||||
\(714\) | 15.3678 | + | 5.66045i | 0.575127 | + | 0.211837i | ||||
\(715\) | 3.65528 | − | 15.6335i | 0.136700 | − | 0.584660i | ||||
\(716\) | −0.864851 | + | 11.1364i | −0.0323210 | + | 0.416188i | ||||
\(717\) | 2.01396 | + | 12.7156i | 0.0752126 | + | 0.474874i | ||||
\(718\) | 4.48207 | + | 37.7015i | 0.167269 | + | 1.40701i | ||||
\(719\) | −37.2385 | − | 27.0554i | −1.38876 | − | 1.00900i | −0.996000 | − | 0.0893562i | \(-0.971519\pi\) |
−0.392764 | − | 0.919639i | \(-0.628481\pi\) | |||||||
\(720\) | −8.23576 | + | 3.48887i | −0.306929 | + | 0.130023i | ||||
\(721\) | 2.20132 | − | 1.59935i | 0.0819814 | − | 0.0595629i | ||||
\(722\) | −1.73107 | − | 1.87071i | −0.0644237 | − | 0.0696208i | ||||
\(723\) | 5.67126 | − | 11.1305i | 0.210917 | − | 0.413947i | ||||
\(724\) | −9.91973 | + | 2.39239i | −0.368664 | + | 0.0889123i | ||||
\(725\) | −26.4483 | + | 4.51143i | −0.982266 | + | 0.167550i | ||||
\(726\) | 8.28132 | − | 10.5160i | 0.307349 | − | 0.390285i | ||||
\(727\) | 38.1000 | + | 19.4129i | 1.41305 | + | 0.719985i | 0.983135 | − | 0.182884i | \(-0.0585432\pi\) |
0.429916 | + | 0.902869i | \(0.358543\pi\) | |||||||
\(728\) | 17.9554 | − | 26.9628i | 0.665472 | − | 0.999307i | ||||
\(729\) | 0.587785 | + | 0.809017i | 0.0217698 | + | 0.0299636i | ||||
\(730\) | −8.31227 | − | 14.6205i | −0.307651 | − | 0.541130i | ||||
\(731\) | 33.4918 | − | 46.0975i | 1.23874 | − | 1.70498i | ||||
\(732\) | 1.19870 | + | 0.732859i | 0.0443053 | + | 0.0270872i | ||||
\(733\) | −18.1115 | + | 2.86857i | −0.668962 | + | 0.105953i | −0.481672 | − | 0.876352i | \(-0.659970\pi\) |
−0.187290 | + | 0.982305i | \(0.559970\pi\) | |||||||
\(734\) | 16.4241 | − | 10.9865i | 0.606224 | − | 0.405521i | ||||
\(735\) | 6.37580 | − | 2.68538i | 0.235175 | − | 0.0990519i | ||||
\(736\) | 0.683999 | − | 0.0827532i | 0.0252125 | − | 0.00305032i | ||||
\(737\) | 7.88100 | − | 4.01557i | 0.290300 | − | 0.147915i | ||||
\(738\) | −1.68286 | + | 8.48326i | −0.0619469 | + | 0.312273i | ||||
\(739\) | 1.37964 | + | 4.24609i | 0.0507508 | + | 0.156195i | 0.973220 | − | 0.229876i | \(-0.0738320\pi\) |
−0.922469 | + | 0.386071i | \(0.873832\pi\) | |||||||
\(740\) | 18.5897 | − | 6.18374i | 0.683370 | − | 0.227319i | ||||
\(741\) | 8.16753 | − | 25.1371i | 0.300042 | − | 0.923433i | ||||
\(742\) | 0.0506669 | + | 0.0283404i | 0.00186004 | + | 0.00104041i | ||||
\(743\) | 9.34530 | + | 9.34530i | 0.342846 | + | 0.342846i | 0.857436 | − | 0.514590i | \(-0.172056\pi\) |
−0.514590 | + | 0.857436i | \(0.672056\pi\) | |||||||
\(744\) | 14.8661 | + | 26.4489i | 0.545019 | + | 0.969664i | ||||
\(745\) | −40.4544 | + | 25.1219i | −1.48213 | + | 0.920397i | ||||
\(746\) | 23.9473 | + | 0.928473i | 0.876775 | + | 0.0339938i | ||||
\(747\) | −0.455567 | + | 2.87634i | −0.0166683 | + | 0.105240i | ||||
\(748\) | 14.1221 | + | 3.37495i | 0.516355 | + | 0.123400i | ||||
\(749\) | − | 13.9240i | − | 0.508773i | ||||||
\(750\) | −14.7314 | + | 5.74345i | −0.537913 | + | 0.209721i | ||||
\(751\) | 34.9526i | 1.27544i | 0.770269 | + | 0.637719i | \(0.220122\pi\) | ||||
−0.770269 | + | 0.637719i | \(0.779878\pi\) | |||||||
\(752\) | −18.4552 | + | 0.0382311i | −0.672992 | + | 0.00139415i | ||||
\(753\) | −1.19117 | + | 7.52072i | −0.0434085 | + | 0.274070i | ||||
\(754\) | −1.70377 | + | 43.9438i | −0.0620475 | + | 1.60034i | ||||
\(755\) | −7.07724 | + | 4.39492i | −0.257567 | + | 0.159948i | ||||
\(756\) | 1.50887 | − | 3.65343i | 0.0548771 | − | 0.132874i | ||||
\(757\) | 21.7005 | + | 21.7005i | 0.788717 | + | 0.788717i | 0.981284 | − | 0.192567i | \(-0.0616812\pi\) |
−0.192567 | + | 0.981284i | \(0.561681\pi\) | |||||||
\(758\) | −1.52947 | + | 2.73439i | −0.0555530 | + | 0.0993177i | ||||
\(759\) | −0.0466331 | + | 0.143522i | −0.00169268 | + | 0.00520952i | ||||
\(760\) | 27.1370 | + | 9.78114i | 0.984364 | + | 0.354799i | ||||
\(761\) | 0.680896 | + | 2.09558i | 0.0246825 | + | 0.0759648i | 0.962639 | − | 0.270788i | \(-0.0872843\pi\) |
−0.937957 | + | 0.346753i | \(0.887284\pi\) | |||||||
\(762\) | −8.56989 | − | 1.70004i | −0.310454 | − | 0.0615861i | ||||
\(763\) | 32.6094 | − | 16.6153i | 1.18054 | − | 0.601515i | ||||
\(764\) | −5.14222 | + | 3.15849i | −0.186039 | + | 0.114270i | ||||
\(765\) | −12.0747 | + | 5.08568i | −0.436562 | + | 0.183873i | ||||
\(766\) | −19.1299 | − | 28.5979i | −0.691192 | − | 1.03328i | ||||
\(767\) | 52.6704 | − | 8.34217i | 1.90182 | − | 0.301218i | ||||
\(768\) | −15.7925 | + | 2.56840i | −0.569863 | + | 0.0926793i | ||||
\(769\) | −14.1415 | + | 19.4641i | −0.509955 | + | 0.701893i | −0.983912 | − | 0.178655i | \(-0.942825\pi\) |
0.473956 | + | 0.880548i | \(0.342825\pi\) | |||||||
\(770\) | −6.73175 | + | 3.82723i | −0.242596 | + | 0.137924i | ||||
\(771\) | 2.03171 | + | 2.79641i | 0.0731704 | + | 0.100710i | ||||
\(772\) | −2.28811 | − | 28.6932i | −0.0823510 | − | 1.03269i | ||||
\(773\) | −16.2534 | − | 8.28151i | −0.584594 | − | 0.297865i | 0.136570 | − | 0.990630i | \(-0.456392\pi\) |
−0.721163 | + | 0.692765i | \(0.756392\pi\) | |||||||
\(774\) | −10.8045 | − | 8.50850i | −0.388359 | − | 0.305832i | ||||
\(775\) | 24.9153 | + | 47.4967i | 0.894983 | + | 1.70613i | ||||
\(776\) | 8.70708 | − | 18.9646i | 0.312566 | − | 0.680788i | ||||
\(777\) | −3.93063 | + | 7.71430i | −0.141011 | + | 0.276749i | ||||
\(778\) | 28.2025 | − | 26.0972i | 1.01111 | − | 0.935631i | ||||
\(779\) | 22.5653 | − | 16.3947i | 0.808487 | − | 0.587400i | ||||
\(780\) | 4.23248 | + | 25.5681i | 0.151547 | + | 0.915483i | ||||
\(781\) | −7.90593 | − | 5.74400i | −0.282897 | − | 0.205536i | ||||
\(782\) | 1.00221 | − | 0.119145i | 0.0358388 | − | 0.00426062i | ||||
\(783\) | 0.839438 | + | 5.30000i | 0.0299991 | + | 0.189407i | ||||
\(784\) | 12.2193 | − | 1.96131i | 0.436405 | − | 0.0700467i | ||||
\(785\) | 6.96644 | − | 29.7952i | 0.248643 | − | 1.06344i | ||||
\(786\) | 1.38549 | − | 3.76154i | 0.0494189 | − | 0.134170i | ||||
\(787\) | −12.5600 | − | 24.6504i | −0.447716 | − | 0.878692i | −0.999015 | − | 0.0443837i | \(-0.985868\pi\) |
0.551299 | − | 0.834308i | \(-0.314132\pi\) | |||||||
\(788\) | 0.153967 | − | 0.131777i | 0.00548486 | − | 0.00469435i | ||||
\(789\) | 16.1232 | − | 5.23874i | 0.574001 | − | 0.186504i | ||||
\(790\) | −39.7654 | + | 1.81945i | −1.41479 | + | 0.0647331i | ||||
\(791\) | 15.3387 | + | 4.98384i | 0.545381 | + | 0.177205i | ||||
\(792\) | 0.946011 | − | 3.37436i | 0.0336150 | − | 0.119903i | ||||
\(793\) | 2.87858 | − | 2.87858i | 0.102221 | − | 0.102221i | ||||
\(794\) | 12.5359 | − | 3.54249i | 0.444881 | − | 0.125718i | ||||
\(795\) | −0.0450962 | + | 0.0111101i | −0.00159940 | + | 0.000394035i | ||||
\(796\) | 16.9467 | − | 19.8837i | 0.600659 | − | 0.704758i | ||||
\(797\) | −28.7658 | − | 4.55606i | −1.01894 | − | 0.161384i | −0.375452 | − | 0.926842i | \(-0.622513\pi\) |
−0.643486 | + | 0.765458i | \(0.722513\pi\) | |||||||
\(798\) | −11.5742 | + | 5.34304i | −0.409722 | + | 0.189142i | ||||
\(799\) | −27.0342 | −0.956400 | ||||||||
\(800\) | −28.0372 | + | 3.73023i | −0.991265 | + | 0.131883i | ||||
\(801\) | 9.63476 | 0.340428 | ||||||||
\(802\) | 37.3863 | − | 17.2588i | 1.32016 | − | 0.609430i | ||||
\(803\) | 6.50844 | + | 1.03084i | 0.229678 | + | 0.0363774i | ||||
\(804\) | −9.26128 | + | 10.8663i | −0.326620 | + | 0.383226i | ||||
\(805\) | −0.347136 | + | 0.411362i | −0.0122349 | + | 0.0144986i | ||||
\(806\) | 84.5986 | − | 23.9066i | 2.97986 | − | 0.842073i | ||||
\(807\) | −10.7764 | + | 10.7764i | −0.379347 | + | 0.379347i | ||||
\(808\) | 4.08290 | − | 14.5635i | 0.143636 | − | 0.512341i | ||||
\(809\) | 14.4231 | + | 4.68634i | 0.507088 | + | 0.164763i | 0.551377 | − | 0.834256i | \(-0.314102\pi\) |
−0.0442896 | + | 0.999019i | \(0.514102\pi\) | |||||||
\(810\) | 1.11364 | + | 2.95970i | 0.0391293 | + | 0.103993i | ||||
\(811\) | 20.0242 | − | 6.50627i | 0.703146 | − | 0.228466i | 0.0644451 | − | 0.997921i | \(-0.479472\pi\) |
0.638701 | + | 0.769455i | \(0.279472\pi\) | |||||||
\(812\) | 16.1145 | − | 13.7920i | 0.565508 | − | 0.484003i | ||||
\(813\) | −14.1298 | − | 27.7313i | −0.495553 | − | 0.972578i | ||||
\(814\) | −2.65308 | + | 7.20297i | −0.0929903 | + | 0.252464i | ||||
\(815\) | 44.4243 | + | 26.8619i | 1.55611 | + | 0.940931i | ||||
\(816\) | −23.1414 | + | 3.71440i | −0.810111 | + | 0.130030i | ||||
\(817\) | 6.93832 | + | 43.8068i | 0.242741 | + | 1.53261i | ||||
\(818\) | −22.8949 | + | 2.72181i | −0.800500 | + | 0.0951658i | ||||
\(819\) | −9.26575 | − | 6.73196i | −0.323772 | − | 0.235234i | ||||
\(820\) | −12.2461 | + | 24.4542i | −0.427652 | + | 0.853979i | ||||
\(821\) | 36.0784 | − | 26.2125i | 1.25915 | − | 0.914823i | 0.260430 | − | 0.965493i | \(-0.416136\pi\) |
0.998715 | + | 0.0506698i | \(0.0161356\pi\) | |||||||
\(822\) | −8.94959 | + | 8.28152i | −0.312153 | + | 0.288851i | ||||
\(823\) | 4.13086 | − | 8.10727i | 0.143993 | − | 0.282602i | −0.807735 | − | 0.589546i | \(-0.799307\pi\) |
0.951727 | + | 0.306945i | \(0.0993066\pi\) | |||||||
\(824\) | −1.62478 | + | 3.53887i | −0.0566019 | + | 0.123282i | ||||
\(825\) | 1.84431 | − | 5.91417i | 0.0642108 | − | 0.205905i | ||||
\(826\) | −20.2069 | − | 15.9129i | −0.703089 | − | 0.553681i | ||||
\(827\) | −39.4863 | − | 20.1193i | −1.37307 | − | 0.699615i | −0.397154 | − | 0.917752i | \(-0.630002\pi\) |
−0.975918 | + | 0.218137i | \(0.930002\pi\) | |||||||
\(828\) | −0.0193637 | − | 0.242823i | −0.000672934 | − | 0.00843867i | ||||
\(829\) | −24.4195 | − | 33.6105i | −0.848123 | − | 1.16734i | −0.984273 | − | 0.176653i | \(-0.943473\pi\) |
0.136150 | − | 0.990688i | \(-0.456527\pi\) | |||||||
\(830\) | −3.80146 | + | 8.38794i | −0.131951 | + | 0.291150i | ||||
\(831\) | −4.74802 | + | 6.53509i | −0.164707 | + | 0.226700i | ||||
\(832\) | −3.49373 | + | 46.2281i | −0.121123 | + | 1.60267i | ||||
\(833\) | 17.9054 | − | 2.83594i | 0.620386 | − | 0.0982594i | ||||
\(834\) | −8.09137 | − | 12.0960i | −0.280181 | − | 0.418851i | ||||
\(835\) | −29.0378 | − | 33.5931i | −1.00489 | − | 1.16254i | ||||
\(836\) | −9.63055 | + | 5.91534i | −0.333080 | + | 0.204586i | ||||
\(837\) | 9.55782 | − | 4.86995i | 0.330366 | − | 0.168330i | ||||
\(838\) | 20.7475 | + | 4.11577i | 0.716711 | + | 0.142177i | ||||
\(839\) | 7.90159 | + | 24.3186i | 0.272793 | + | 0.839571i | 0.989795 | + | 0.142500i | \(0.0455140\pi\) |
−0.717002 | + | 0.697071i | \(0.754486\pi\) | |||||||
\(840\) | 7.66477 | − | 9.87391i | 0.264460 | − | 0.340682i | ||||
\(841\) | 0.0634479 | − | 0.195272i | 0.00218786 | − | 0.00673353i | ||||
\(842\) | −7.42498 | + | 13.2744i | −0.255882 | + | 0.457465i | ||||
\(843\) | −6.60686 | − | 6.60686i | −0.227552 | − | 0.227552i | ||||
\(844\) | 21.2103 | − | 51.3566i | 0.730088 | − | 1.76777i | ||||
\(845\) | 45.9015 | + | 3.33854i | 1.57906 | + | 0.114849i | ||||
\(846\) | −0.252790 | + | 6.52001i | −0.00869111 | + | 0.224163i | ||||
\(847\) | −2.92628 | + | 18.4758i | −0.100548 | + | 0.634836i | ||||
\(848\) | −0.0830824 | 0.000172111i | −0.00285306 | 5.91030e-6i | ||||||
\(849\) | − | 16.2817i | − | 0.558788i | ||||||
\(850\) | −41.0816 | + | 5.37914i | −1.40909 | + | 0.184503i | ||||
\(851\) | 0.533558i | 0.0182901i | ||||||||
\(852\) | 15.3422 | + | 3.66654i | 0.525616 | + | 0.125614i | ||||
\(853\) | 5.86386 | − | 37.0230i | 0.200775 | − | 1.26764i | −0.657108 | − | 0.753797i | \(-0.728220\pi\) |
0.857883 | − | 0.513846i | \(-0.171780\pi\) | |||||||
\(854\) | −1.96200 | − | 0.0760695i | −0.0671382 | − | 0.00260305i | ||||
\(855\) | 3.84684 | − | 9.44526i | 0.131559 | − | 0.323021i | ||||
\(856\) | 9.76371 | + | 17.3710i | 0.333717 | + | 0.593728i | ||||
\(857\) | −1.38959 | − | 1.38959i | −0.0474676 | − | 0.0474676i | 0.682975 | − | 0.730442i | \(-0.260686\pi\) |
−0.730442 | + | 0.682975i | \(0.760686\pi\) | |||||||
\(858\) | −8.86204 | − | 4.95695i | −0.302545 | − | 0.169228i | ||||
\(859\) | 6.44537 | − | 19.8368i | 0.219913 | − | 0.676824i | −0.778855 | − | 0.627204i | \(-0.784199\pi\) |
0.998768 | − | 0.0496195i | \(-0.0158009\pi\) | |||||||
\(860\) | −25.8070 | − | 35.0045i | −0.880010 | − | 1.19364i | ||||
\(861\) | −3.73492 | − | 11.4949i | −0.127286 | − | 0.391745i | ||||
\(862\) | 1.46476 | − | 7.38384i | 0.0498900 | − | 0.251495i | ||||
\(863\) | −21.9733 | + | 11.1960i | −0.747980 | + | 0.381115i | −0.786052 | − | 0.618160i | \(-0.787878\pi\) |
0.0380720 | + | 0.999275i | \(0.487878\pi\) | |||||||
\(864\) | 0.679436 | + | 5.61590i | 0.0231149 | + | 0.191057i | ||||
\(865\) | 0.172342 | + | 2.03530i | 0.00585979 | + | 0.0692024i | ||||
\(866\) | 12.9955 | − | 8.69303i | 0.441604 | − | 0.295401i | ||||
\(867\) | −17.1192 | + | 2.71142i | −0.581399 | + | 0.0920845i | ||||
\(868\) | −36.1759 | − | 22.1171i | −1.22789 | − | 0.750703i | ||||
\(869\) | 9.16758 | − | 12.6181i | 0.310989 | − | 0.428040i | ||||
\(870\) | −1.88571 | + | 16.8639i | −0.0639317 | + | 0.571739i | ||||
\(871\) | 24.3162 | + | 33.4684i | 0.823923 | + | 1.13403i | ||||
\(872\) | −29.0312 | + | 43.5947i | −0.983119 | + | 1.47630i | ||||
\(873\) | −6.57376 | − | 3.34950i | −0.222488 | − | 0.113363i | ||||
\(874\) | −0.486046 | + | 0.617203i | −0.0164407 | + | 0.0208772i | ||||
\(875\) | 14.0492 | − | 17.0552i | 0.474948 | − | 0.576571i | ||||
\(876\) | −10.3403 | + | 2.49382i | −0.349367 | + | 0.0842584i | ||||
\(877\) | −8.82783 | + | 17.3256i | −0.298095 | + | 0.585044i | −0.990667 | − | 0.136305i | \(-0.956477\pi\) |
0.692572 | + | 0.721349i | \(0.256477\pi\) | |||||||
\(878\) | 9.58802 | + | 10.3615i | 0.323580 | + | 0.349683i | ||||
\(879\) | −14.6172 | + | 10.6200i | −0.493027 | + | 0.358205i | ||||
\(880\) | 5.71453 | − | 9.49508i | 0.192637 | − | 0.320079i | ||||
\(881\) | 2.94832 | + | 2.14208i | 0.0993315 | + | 0.0721686i | 0.636342 | − | 0.771407i | \(-0.280447\pi\) |
−0.537011 | + | 0.843575i | \(0.680447\pi\) | |||||||
\(882\) | −0.516533 | − | 4.34489i | −0.0173926 | − | 0.146300i | ||||
\(883\) | −1.16799 | − | 7.37438i | −0.0393059 | − | 0.248168i | 0.960210 | − | 0.279279i | \(-0.0900954\pi\) |
−0.999516 | + | 0.0311112i | \(0.990095\pi\) | |||||||
\(884\) | −5.25807 | + | 67.7066i | −0.176848 | + | 2.27722i | ||||
\(885\) | 20.5035 | − | 1.73615i | 0.689216 | − | 0.0583602i | ||||
\(886\) | −35.4358 | − | 13.0521i | −1.19049 | − | 0.438494i | ||||
\(887\) | −12.7429 | − | 25.0093i | −0.427864 | − | 0.839729i | −0.999811 | − | 0.0194392i | \(-0.993812\pi\) |
0.571948 | − | 0.820290i | \(-0.306188\pi\) | |||||||
\(888\) | −0.505686 | − | 12.3802i | −0.0169697 | − | 0.415453i | ||||
\(889\) | 11.6123 | − | 3.77306i | 0.389463 | − | 0.126544i | ||||
\(890\) | 29.3766 | + | 8.08080i | 0.984707 | + | 0.270869i | ||||
\(891\) | −1.17837 | − | 0.382876i | −0.0394770 | − | 0.0128268i | ||||
\(892\) | 8.98460 | + | 21.6274i | 0.300827 | + | 0.724138i | ||||
\(893\) | 14.8799 | − | 14.8799i | 0.497937 | − | 0.497937i | ||||
\(894\) | 8.19014 | + | 28.9826i | 0.273919 | + | 0.969322i | ||||
\(895\) | 11.5659 | + | 4.71054i | 0.386607 | + | 0.157456i | ||||
\(896\) | 17.5095 | − | 13.9066i | 0.584952 | − | 0.464587i | ||||
\(897\) | −0.697122 | − | 0.110413i | −0.0232762 | − | 0.00368659i | ||||
\(898\) | 22.2470 | + | 48.1919i | 0.742393 | + | 1.60818i | ||||
\(899\) | 57.5617 | 1.91979 | ||||||||
\(900\) | 0.913178 | + | 9.95822i | 0.0304393 | + | 0.331941i | ||||
\(901\) | −0.121704 | −0.00405454 | ||||||||
\(902\) | −4.49127 | − | 9.72906i | −0.149543 | − | 0.323942i | ||||
\(903\) | 18.9826 | + | 3.00655i | 0.631703 | + | 0.100052i | ||||
\(904\) | −22.6306 | + | 4.53807i | −0.752683 | + | 0.150934i | ||||
\(905\) | −0.827593 | + | 11.3785i | −0.0275101 | + | 0.378235i | ||||
\(906\) | 1.43281 | + | 5.07032i | 0.0476020 | + | 0.168450i | ||||
\(907\) | −4.22368 | + | 4.22368i | −0.140245 | + | 0.140245i | −0.773744 | − | 0.633499i | \(-0.781618\pi\) |
0.633499 | + | 0.773744i | \(0.281618\pi\) | |||||||
\(908\) | −15.8682 | + | 6.59207i | −0.526604 | + | 0.218766i | ||||
\(909\) | −5.08576 | − | 1.65246i | −0.168684 | − | 0.0548087i | ||||
\(910\) | −22.6053 | − | 28.2972i | −0.749359 | − | 0.938044i | ||||
\(911\) | −17.2161 | + | 5.59384i | −0.570394 | + | 0.185332i | −0.579993 | − | 0.814622i | \(-0.696945\pi\) |
0.00959850 | + | 0.999954i | \(0.496945\pi\) | |||||||
\(912\) | 10.6928 | − | 14.7817i | 0.354075 | − | 0.489472i | ||||
\(913\) | −1.63811 | − | 3.21497i | −0.0542136 | − | 0.106400i | ||||
\(914\) | 9.74827 | + | 3.59059i | 0.322444 | + | 0.118766i | ||||
\(915\) | 1.18838 | − | 1.02723i | 0.0392867 | − | 0.0339593i | ||||
\(916\) | −14.0683 | − | 1.09254i | −0.464829 | − | 0.0360984i | ||||
\(917\) | 0.876352 | + | 5.53307i | 0.0289397 | + | 0.182718i | ||||
\(918\) | 0.978229 | + | 8.22850i | 0.0322864 | + | 0.271581i | ||||
\(919\) | −2.80257 | − | 2.03619i | −0.0924483 | − | 0.0671676i | 0.540601 | − | 0.841279i | \(-0.318197\pi\) |
−0.633049 | + | 0.774112i | \(0.718197\pi\) | |||||||
\(920\) | 0.144618 | − | 0.756614i | 0.00476793 | − | 0.0249448i | ||||
\(921\) | −0.746213 | + | 0.542155i | −0.0245885 | + | 0.0178646i | ||||
\(922\) | 3.04018 | + | 3.28544i | 0.100123 | + | 0.108200i | ||||
\(923\) | 20.7501 | − | 40.7243i | 0.682996 | − | 1.34046i | ||||
\(924\) | 1.14824 | + | 4.76101i | 0.0377742 | + | 0.156626i | ||||
\(925\) | −0.259982 | − | 21.9021i | −0.00854816 | − | 0.720136i | ||||
\(926\) | −13.1388 | + | 16.6843i | −0.431769 | + | 0.548280i | ||||
\(927\) | 1.22669 | + | 0.625032i | 0.0402899 | + | 0.0205287i | ||||
\(928\) | −10.4326 | + | 28.5060i | −0.342468 | + | 0.935754i | ||||
\(929\) | −11.6360 | − | 16.0155i | −0.381764 | − | 0.525453i | 0.574287 | − | 0.818654i | \(-0.305279\pi\) |
−0.956051 | + | 0.293201i | \(0.905279\pi\) | |||||||
\(930\) | 33.2265 | − | 6.83234i | 1.08954 | − | 0.224041i | ||||
\(931\) | −8.29439 | + | 11.4163i | −0.271838 | + | 0.374153i | ||||
\(932\) | 18.7526 | − | 30.6727i | 0.614262 | − | 1.00472i | ||||
\(933\) | −13.3347 | + | 2.11201i | −0.436559 | + | 0.0691442i | ||||
\(934\) | 34.2281 | − | 22.8962i | 1.11998 | − | 0.749185i | ||||
\(935\) | 8.39973 | − | 13.8915i | 0.274701 | − | 0.454301i | ||||
\(936\) | 16.2801 | + | 1.90123i | 0.532131 | + | 0.0621437i | ||||
\(937\) | 0.205689 | − | 0.104804i | 0.00671957 | − | 0.00342379i | −0.450627 | − | 0.892712i | \(-0.648800\pi\) |
0.457347 | + | 0.889288i | \(0.348800\pi\) | |||||||
\(938\) | 3.88251 | − | 19.5717i | 0.126768 | − | 0.639037i | ||||
\(939\) | 4.12051 | + | 12.6816i | 0.134468 | + | 0.413850i | ||||
\(940\) | −6.23919 | + | 19.6677i | −0.203500 | + | 0.641489i | ||||
\(941\) | 8.65557 | − | 26.6391i | 0.282163 | − | 0.868410i | −0.705071 | − | 0.709137i | \(-0.749085\pi\) |
0.987235 | − | 0.159273i | \(-0.0509150\pi\) | |||||||
\(942\) | −16.8898 | − | 9.44724i | −0.550299 | − | 0.307808i | ||||
\(943\) | −0.526684 | − | 0.526684i | −0.0171512 | − | 0.0171512i | ||||
\(944\) | 36.3676 | + | 5.68286i | 1.18367 | + | 0.184961i | ||||
\(945\) | −3.37745 | − | 2.85012i | −0.109868 | − | 0.0927144i | ||||
\(946\) | 17.0268 | + | 0.660152i | 0.553588 | + | 0.0214634i | ||||
\(947\) | 4.02669 | − | 25.4235i | 0.130850 | − | 0.826152i | −0.831735 | − | 0.555172i | \(-0.812652\pi\) |
0.962585 | − | 0.270980i | \(-0.0873477\pi\) | |||||||
\(948\) | −5.85190 | + | 24.4866i | −0.190061 | + | 0.795289i | ||||
\(949\) | 30.8201i | 1.00046i | ||||||||
\(950\) | 19.6510 | − | 25.5725i | 0.637562 | − | 0.829680i | ||||
\(951\) | − | 26.0210i | − | 0.843789i | ||||||
\(952\) | 25.6910 | − | 20.3179i | 0.832649 | − | 0.658508i | ||||
\(953\) | 1.46424 | − | 9.24486i | 0.0474314 | − | 0.299470i | −0.952557 | − | 0.304361i | \(-0.901557\pi\) |
0.999988 | + | 0.00489121i | \(0.00155693\pi\) | |||||||
\(954\) | −0.00113802 | + | 0.0293521i | −3.68448e−5 | + | 0.000950309i | ||||
\(955\) | 1.61398 | + | 6.55119i | 0.0522273 | + | 0.211992i | ||||
\(956\) | 23.7985 | + | 9.82879i | 0.769698 | + | 0.317886i | ||||
\(957\) | −4.70129 | − | 4.70129i | −0.151971 | − | 0.151971i | ||||
\(958\) | 24.2958 | − | 43.4361i | 0.784962 | − | 1.40336i | ||||
\(959\) | 5.26577 | − | 16.2064i | 0.170041 | − | 0.523331i | ||||
\(960\) | −2.63851 | + | 17.6929i | −0.0851576 | + | 0.571035i | ||||
\(961\) | −25.9785 | − | 79.9537i | −0.838017 | − | 2.57915i | ||||
\(962\) | −35.2154 | − | 6.98582i | −1.13539 | − | 0.225232i | ||||
\(963\) | 6.27734 | − | 3.19847i | 0.202285 | − | 0.103069i | ||||
\(964\) | −13.0762 | − | 21.2889i | −0.421156 | − | 0.685669i | ||||
\(965\) | −31.3367 | − | 7.32686i | −1.00876 | − | 0.235860i | ||||
\(966\) | 0.189276 | + | 0.282955i | 0.00608986 | + | 0.00910392i | ||||
\(967\) | −18.9790 | + | 3.00598i | −0.610325 | + | 0.0966659i | −0.453943 | − | 0.891031i | \(-0.649983\pi\) |
−0.156382 | + | 0.987697i | \(0.549983\pi\) | |||||||
\(968\) | −9.30478 | − | 25.1015i | −0.299067 | − | 0.806794i | ||||
\(969\) | 15.7082 | − | 21.6205i | 0.504621 | − | 0.694551i | ||||
\(970\) | −17.2343 | − | 15.7262i | −0.553360 | − | 0.504938i | ||||
\(971\) | −6.41370 | − | 8.82770i | −0.205825 | − | 0.283294i | 0.693608 | − | 0.720353i | \(-0.256020\pi\) |
−0.899433 | + | 0.437059i | \(0.856020\pi\) | |||||||
\(972\) | 1.99367 | − | 0.158983i | 0.0639470 | − | 0.00509939i | ||||
\(973\) | 18.1210 | + | 9.23311i | 0.580933 | + | 0.296000i | ||||
\(974\) | 4.62406 | + | 3.64143i | 0.148164 | + | 0.116679i | ||||
\(975\) | 28.6700 | + | 4.19269i | 0.918176 | + | 0.134273i | ||||
\(976\) | 2.50105 | − | 1.28088i | 0.0800565 | − | 0.0409999i | ||||
\(977\) | 21.8301 | − | 42.8440i | 0.698408 | − | 1.37070i | −0.220170 | − | 0.975461i | \(-0.570661\pi\) |
0.918578 | − | 0.395241i | \(-0.129339\pi\) | |||||||
\(978\) | 24.0987 | − | 22.2998i | 0.770593 | − | 0.713069i | ||||
\(979\) | −9.65772 | + | 7.01675i | −0.308662 | + | 0.224256i | ||||
\(980\) | 2.06919 | − | 13.6809i | 0.0660979 | − | 0.437020i | ||||
\(981\) | 14.9813 | + | 10.8846i | 0.478316 | + | 0.347517i | ||||
\(982\) | −57.3597 | + | 6.81909i | −1.83042 | + | 0.217606i | ||||
\(983\) | 6.21015 | + | 39.2093i | 0.198073 | + | 1.25058i | 0.863588 | + | 0.504199i | \(0.168212\pi\) |
−0.665515 | + | 0.746385i | \(0.731788\pi\) | |||||||
\(984\) | 12.7199 | + | 11.7216i | 0.405496 | + | 0.373670i | ||||
\(985\) | −0.0879494 | − | 0.208815i | −0.00280230 | − | 0.00665339i | ||||
\(986\) | −15.3687 | + | 41.7252i | −0.489439 | + | 1.32880i | ||||
\(987\) | −4.13977 | − | 8.12476i | −0.131770 | − | 0.258614i | ||||
\(988\) | −34.3723 | − | 40.1605i | −1.09353 | − | 1.27768i | ||||
\(989\) | 1.12644 | − | 0.366003i | 0.0358188 | − | 0.0116382i | ||||
\(990\) | −3.27176 | − | 2.15572i | −0.103984 | − | 0.0685132i | ||||
\(991\) | −14.6891 | − | 4.77277i | −0.466614 | − | 0.151612i | 0.0662677 | − | 0.997802i | \(-0.478891\pi\) |
−0.532881 | + | 0.846190i | \(0.678891\pi\) | |||||||
\(992\) | 60.6402 | + | 2.22531i | 1.92533 | + | 0.0706536i | ||||
\(993\) | 3.09476 | − | 3.09476i | 0.0982092 | − | 0.0982092i | ||||
\(994\) | −21.2139 | + | 5.99481i | −0.672865 | + | 0.190144i | ||||
\(995\) | −15.4094 | − | 24.8141i | −0.488511 | − | 0.786659i | ||||
\(996\) | 4.43281 | + | 3.77805i | 0.140459 | + | 0.119712i | ||||
\(997\) | 4.13055 | + | 0.654215i | 0.130816 | + | 0.0207192i | 0.221499 | − | 0.975161i | \(-0.428905\pi\) |
−0.0906832 | + | 0.995880i | \(0.528905\pi\) | |||||||
\(998\) | −34.5629 | + | 15.9554i | −1.09407 | + | 0.505060i | ||||
\(999\) | −4.38072 | −0.138600 |
(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 | 300.2.w.a.67.6 | ✓ | 240 | |
3.2 | odd | 2 | 900.2.bj.f.667.25 | 240 | |||
4.3 | odd | 2 | inner | 300.2.w.a.67.17 | yes | 240 | |
12.11 | even | 2 | 900.2.bj.f.667.14 | 240 | |||
25.3 | odd | 20 | inner | 300.2.w.a.103.17 | yes | 240 | |
75.53 | even | 20 | 900.2.bj.f.703.14 | 240 | |||
100.3 | even | 20 | inner | 300.2.w.a.103.6 | yes | 240 | |
300.203 | odd | 20 | 900.2.bj.f.703.25 | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
300.2.w.a.67.6 | ✓ | 240 | 1.1 | even | 1 | trivial | |
300.2.w.a.67.17 | yes | 240 | 4.3 | odd | 2 | inner | |
300.2.w.a.103.6 | yes | 240 | 100.3 | even | 20 | inner | |
300.2.w.a.103.17 | yes | 240 | 25.3 | odd | 20 | inner | |
900.2.bj.f.667.14 | 240 | 12.11 | even | 2 | |||
900.2.bj.f.667.25 | 240 | 3.2 | odd | 2 | |||
900.2.bj.f.703.14 | 240 | 75.53 | even | 20 | |||
900.2.bj.f.703.25 | 240 | 300.203 | odd | 20 |