Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [414,2,Mod(13,414)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(414, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([22, 42]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("414.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 414 = 2 \cdot 3^{2} \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 414.m (of order \(33\), degree \(20\), 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: | \(3.30580664368\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{33})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{33}]$ |
Embedding invariants
Embedding label | 13.7 | ||
Character | \(\chi\) | \(=\) | 414.13 |
Dual form | 414.2.m.a.223.7 |
$q$-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 \(\left(\mathbb{Z}/414\mathbb{Z}\right)^\times\).
\(n\) | \(47\) | \(235\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{7}{11}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.327068 | − | 0.945001i | 0.231272 | − | 0.668216i | ||||
\(3\) | 0.240116 | − | 1.71533i | 0.138631 | − | 0.990344i | ||||
\(4\) | −0.786053 | − | 0.618159i | −0.393027 | − | 0.309079i | ||||
\(5\) | −2.36816 | − | 3.32562i | −1.05907 | − | 1.48726i | −0.862024 | − | 0.506868i | \(-0.830803\pi\) |
−0.197050 | − | 0.980393i | \(-0.563136\pi\) | |||||||
\(6\) | −1.54245 | − | 0.787938i | −0.629703 | − | 0.321674i | ||||
\(7\) | 0.386739 | + | 1.59416i | 0.146174 | + | 0.602536i | 0.997022 | + | 0.0771238i | \(0.0245737\pi\) |
−0.850848 | + | 0.525412i | \(0.823911\pi\) | |||||||
\(8\) | −0.841254 | + | 0.540641i | −0.297428 | + | 0.191145i | ||||
\(9\) | −2.88469 | − | 0.823754i | −0.961563 | − | 0.274585i | ||||
\(10\) | −3.91726 | + | 1.15021i | −1.23875 | + | 0.363729i | ||||
\(11\) | 2.77764 | + | 0.535347i | 0.837491 | + | 0.161413i | 0.589925 | − | 0.807458i | \(-0.299157\pi\) |
0.247566 | + | 0.968871i | \(0.420369\pi\) | |||||||
\(12\) | −1.24909 | + | 1.19991i | −0.360581 | + | 0.346384i | ||||
\(13\) | −0.250690 | + | 1.03336i | −0.0695288 | + | 0.286602i | −0.995953 | − | 0.0898810i | \(-0.971351\pi\) |
0.926424 | + | 0.376482i | \(0.122866\pi\) | |||||||
\(14\) | 1.63297 | + | 0.155930i | 0.436430 | + | 0.0416740i | ||||
\(15\) | −6.27315 | + | 3.26364i | −1.61972 | + | 0.842667i | ||||
\(16\) | 0.235759 | + | 0.971812i | 0.0589397 | + | 0.242953i | ||||
\(17\) | −0.904404 | − | 6.29027i | −0.219350 | − | 1.52561i | −0.740446 | − | 0.672116i | \(-0.765386\pi\) |
0.521096 | − | 0.853498i | \(-0.325523\pi\) | |||||||
\(18\) | −1.72194 | + | 2.45661i | −0.405865 | + | 0.579028i | ||||
\(19\) | −0.153662 | + | 1.06874i | −0.0352524 | + | 0.245186i | −0.999827 | − | 0.0186262i | \(-0.994071\pi\) |
0.964574 | + | 0.263812i | \(0.0849799\pi\) | |||||||
\(20\) | −0.194260 | + | 4.07801i | −0.0434378 | + | 0.911871i | ||||
\(21\) | 2.82737 | − | 0.280600i | 0.616982 | − | 0.0612320i | ||||
\(22\) | 1.41438 | − | 2.44978i | 0.301547 | − | 0.522295i | ||||
\(23\) | 1.20904 | + | 4.64093i | 0.252102 | + | 0.967701i | ||||
\(24\) | 0.725377 | + | 1.57284i | 0.148067 | + | 0.321055i | ||||
\(25\) | −3.81620 | + | 11.0262i | −0.763240 | + | 2.20524i | ||||
\(26\) | 0.894530 | + | 0.574880i | 0.175432 | + | 0.112743i | ||||
\(27\) | −2.10567 | + | 4.75039i | −0.405236 | + | 0.914212i | ||||
\(28\) | 0.681447 | − | 1.49216i | 0.128781 | − | 0.281992i | ||||
\(29\) | 2.29217 | − | 1.80258i | 0.425645 | − | 0.334731i | −0.382248 | − | 0.924060i | \(-0.624850\pi\) |
0.807893 | + | 0.589329i | \(0.200608\pi\) | |||||||
\(30\) | 1.03239 | + | 6.99556i | 0.188488 | + | 1.27721i | ||||
\(31\) | −0.476850 | − | 10.0103i | −0.0856448 | − | 1.79790i | −0.478277 | − | 0.878209i | \(-0.658738\pi\) |
0.392632 | − | 0.919696i | \(-0.371565\pi\) | |||||||
\(32\) | 0.995472 | + | 0.0950560i | 0.175976 | + | 0.0168037i | ||||
\(33\) | 1.58525 | − | 4.63602i | 0.275957 | − | 0.807027i | ||||
\(34\) | −6.24011 | − | 1.20268i | −1.07017 | − | 0.206258i | ||||
\(35\) | 4.38570 | − | 5.06137i | 0.741319 | − | 0.855528i | ||||
\(36\) | 1.75831 | + | 2.43071i | 0.293051 | + | 0.405118i | ||||
\(37\) | −1.72029 | − | 3.76692i | −0.282814 | − | 0.619277i | 0.713902 | − | 0.700245i | \(-0.246926\pi\) |
−0.996717 | + | 0.0809682i | \(0.974199\pi\) | |||||||
\(38\) | 0.959703 | + | 0.494761i | 0.155684 | + | 0.0802609i | ||||
\(39\) | 1.71235 | + | 0.678140i | 0.274195 | + | 0.108589i | ||||
\(40\) | 3.79019 | + | 1.51736i | 0.599281 | + | 0.239916i | ||||
\(41\) | −4.77712 | − | 6.70853i | −0.746061 | − | 1.04770i | −0.996823 | − | 0.0796470i | \(-0.974621\pi\) |
0.250762 | − | 0.968049i | \(-0.419319\pi\) | |||||||
\(42\) | 0.659573 | − | 2.76364i | 0.101774 | − | 0.426439i | ||||
\(43\) | −0.235846 | + | 4.95101i | −0.0359662 | + | 0.755023i | 0.906799 | + | 0.421564i | \(0.138519\pi\) |
−0.942765 | + | 0.333459i | \(0.891784\pi\) | |||||||
\(44\) | −1.85245 | − | 2.13784i | −0.279267 | − | 0.322291i | ||||
\(45\) | 4.09192 | + | 11.5442i | 0.609987 | + | 1.72090i | ||||
\(46\) | 4.78112 | + | 0.375355i | 0.704938 | + | 0.0553431i | ||||
\(47\) | −3.65989 | − | 6.33912i | −0.533850 | − | 0.924656i | −0.999218 | − | 0.0395383i | \(-0.987411\pi\) |
0.465368 | − | 0.885117i | \(-0.345922\pi\) | |||||||
\(48\) | 1.72358 | − | 0.171056i | 0.248778 | − | 0.0246898i | ||||
\(49\) | 3.83007 | − | 1.97454i | 0.547153 | − | 0.282077i | ||||
\(50\) | 9.17160 | + | 7.21263i | 1.29706 | + | 1.02002i | ||||
\(51\) | −11.0070 | + | 0.0409542i | −1.54129 | + | 0.00573473i | ||||
\(52\) | 0.835834 | − | 0.657307i | 0.115909 | − | 0.0911521i | ||||
\(53\) | 2.55140 | + | 0.749160i | 0.350462 | + | 0.102905i | 0.452225 | − | 0.891904i | \(-0.350630\pi\) |
−0.101763 | + | 0.994809i | \(0.532448\pi\) | |||||||
\(54\) | 3.80042 | + | 3.54356i | 0.517172 | + | 0.482217i | ||||
\(55\) | −4.79755 | − | 10.5052i | −0.646901 | − | 1.41652i | ||||
\(56\) | −1.18721 | − | 1.13201i | −0.158648 | − | 0.151271i | ||||
\(57\) | 1.79634 | + | 0.520202i | 0.237931 | + | 0.0689024i | ||||
\(58\) | −0.953746 | − | 2.75567i | −0.125233 | − | 0.361837i | ||||
\(59\) | −1.22263 | + | 5.03976i | −0.159173 | + | 0.656120i | 0.835178 | + | 0.549980i | \(0.185365\pi\) |
−0.994351 | + | 0.106141i | \(0.966151\pi\) | |||||||
\(60\) | 6.94848 | + | 1.31241i | 0.897044 | + | 0.169432i | ||||
\(61\) | −6.76530 | − | 3.48775i | −0.866207 | − | 0.446561i | −0.0329570 | − | 0.999457i | \(-0.510492\pi\) |
−0.833250 | + | 0.552896i | \(0.813523\pi\) | |||||||
\(62\) | −9.61571 | − | 2.82343i | −1.22120 | − | 0.358576i | ||||
\(63\) | 0.197575 | − | 4.91723i | 0.0248921 | − | 0.619513i | ||||
\(64\) | 0.415415 | − | 0.909632i | 0.0519269 | − | 0.113704i | ||||
\(65\) | 4.03022 | − | 1.61346i | 0.499887 | − | 0.200125i | ||||
\(66\) | −3.86256 | − | 3.01436i | −0.475448 | − | 0.371042i | ||||
\(67\) | 13.0791 | − | 2.52078i | 1.59786 | − | 0.307963i | 0.688905 | − | 0.724852i | \(-0.258092\pi\) |
0.908957 | + | 0.416889i | \(0.136880\pi\) | |||||||
\(68\) | −3.17747 | + | 5.50355i | −0.385325 | + | 0.667403i | ||||
\(69\) | 8.25102 | − | 0.959538i | 0.993306 | − | 0.115515i | ||||
\(70\) | −3.34858 | − | 5.79991i | −0.400232 | − | 0.693222i | ||||
\(71\) | −3.61339 | − | 4.17007i | −0.428830 | − | 0.494896i | 0.499677 | − | 0.866212i | \(-0.333452\pi\) |
−0.928507 | + | 0.371316i | \(0.878907\pi\) | |||||||
\(72\) | 2.87211 | − | 0.866594i | 0.338481 | − | 0.102129i | ||||
\(73\) | −0.639331 | + | 4.44665i | −0.0748281 | + | 0.520441i | 0.917590 | + | 0.397529i | \(0.130132\pi\) |
−0.992418 | + | 0.122912i | \(0.960777\pi\) | |||||||
\(74\) | −4.12239 | + | 0.393641i | −0.479218 | + | 0.0457598i | ||||
\(75\) | 17.9972 | + | 9.19359i | 2.07814 | + | 1.06158i | ||||
\(76\) | 0.781438 | − | 0.745099i | 0.0896370 | − | 0.0854688i | ||||
\(77\) | 0.220795 | + | 4.63505i | 0.0251619 | + | 0.528213i | ||||
\(78\) | 1.20090 | − | 1.39637i | 0.135975 | − | 0.158108i | ||||
\(79\) | −2.67592 | − | 2.55148i | −0.301064 | − | 0.287064i | 0.524455 | − | 0.851438i | \(-0.324269\pi\) |
−0.825519 | + | 0.564374i | \(0.809118\pi\) | |||||||
\(80\) | 2.67356 | − | 3.08545i | 0.298913 | − | 0.344964i | ||||
\(81\) | 7.64286 | + | 4.75255i | 0.849206 | + | 0.528061i | ||||
\(82\) | −7.90200 | + | 2.32024i | −0.872630 | + | 0.256227i | ||||
\(83\) | 7.89513 | − | 11.0872i | 0.866603 | − | 1.21697i | −0.108250 | − | 0.994124i | \(-0.534525\pi\) |
0.974853 | − | 0.222850i | \(-0.0715360\pi\) | |||||||
\(84\) | −2.39592 | − | 1.52720i | −0.261416 | − | 0.166631i | ||||
\(85\) | −18.7772 | + | 17.9041i | −2.03668 | + | 1.94197i | ||||
\(86\) | 4.60157 | + | 1.84219i | 0.496201 | + | 0.198649i | ||||
\(87\) | −2.54163 | − | 4.36464i | −0.272491 | − | 0.467939i | ||||
\(88\) | −2.62613 | + | 1.05135i | −0.279947 | + | 0.112074i | ||||
\(89\) | 10.2212 | + | 6.56878i | 1.08345 | + | 0.696290i | 0.955351 | − | 0.295472i | \(-0.0954769\pi\) |
0.128097 | + | 0.991762i | \(0.459113\pi\) | |||||||
\(90\) | 12.2476 | − | 0.0911412i | 1.29101 | − | 0.00960712i | ||||
\(91\) | −1.74429 | −0.182851 | ||||||||
\(92\) | 1.91846 | − | 4.39540i | 0.200013 | − | 0.458252i | ||||
\(93\) | −17.2854 | − | 1.58568i | −1.79242 | − | 0.164428i | ||||
\(94\) | −7.18751 | + | 1.38528i | −0.741335 | + | 0.142881i | ||||
\(95\) | 3.91812 | − | 2.01993i | 0.401990 | − | 0.207240i | ||||
\(96\) | 0.402081 | − | 1.68473i | 0.0410372 | − | 0.171948i | ||||
\(97\) | 0.740467 | − | 0.0707061i | 0.0751831 | − | 0.00717911i | −0.0573967 | − | 0.998351i | \(-0.518280\pi\) |
0.132580 | + | 0.991172i | \(0.457674\pi\) | |||||||
\(98\) | −0.613247 | − | 4.26523i | −0.0619473 | − | 0.430853i | ||||
\(99\) | −7.57164 | − | 3.83241i | −0.760979 | − | 0.385171i | ||||
\(100\) | 9.81567 | − | 6.30815i | 0.981567 | − | 0.630815i | ||||
\(101\) | −7.53231 | + | 10.5776i | −0.749492 | + | 1.05251i | 0.247015 | + | 0.969012i | \(0.420550\pi\) |
−0.996508 | + | 0.0835032i | \(0.973389\pi\) | |||||||
\(102\) | −3.56134 | + | 10.4150i | −0.352625 | + | 1.03124i | ||||
\(103\) | −0.265214 | − | 0.766287i | −0.0261324 | − | 0.0755045i | 0.931180 | − | 0.364559i | \(-0.118780\pi\) |
−0.957313 | + | 0.289055i | \(0.906659\pi\) | |||||||
\(104\) | −0.347781 | − | 1.00485i | −0.0341028 | − | 0.0985334i | ||||
\(105\) | −7.62883 | − | 8.73823i | −0.744497 | − | 0.852764i | ||||
\(106\) | 1.54244 | − | 2.16605i | 0.149815 | − | 0.210386i | ||||
\(107\) | 13.8427 | − | 8.89616i | 1.33822 | − | 0.860024i | 0.341420 | − | 0.939911i | \(-0.389092\pi\) |
0.996804 | + | 0.0798867i | \(0.0254559\pi\) | |||||||
\(108\) | 4.59166 | − | 2.43242i | 0.441833 | − | 0.234060i | ||||
\(109\) | 1.03435 | + | 7.19405i | 0.0990726 | + | 0.689065i | 0.977461 | + | 0.211117i | \(0.0677102\pi\) |
−0.878388 | + | 0.477948i | \(0.841381\pi\) | |||||||
\(110\) | −11.4965 | + | 1.09778i | −1.09615 | + | 0.104670i | ||||
\(111\) | −6.87456 | + | 2.04637i | −0.652504 | + | 0.194233i | ||||
\(112\) | −1.45805 | + | 0.751675i | −0.137772 | + | 0.0710266i | ||||
\(113\) | 13.8469 | − | 2.66877i | 1.30261 | − | 0.251057i | 0.509675 | − | 0.860367i | \(-0.329766\pi\) |
0.792932 | + | 0.609310i | \(0.208553\pi\) | |||||||
\(114\) | 1.07912 | − | 1.52740i | 0.101069 | − | 0.143054i | ||||
\(115\) | 12.5707 | − | 15.0113i | 1.17223 | − | 1.39981i | ||||
\(116\) | −2.91605 | −0.270748 | ||||||||
\(117\) | 1.57439 | − | 2.77441i | 0.145553 | − | 0.256494i | ||||
\(118\) | 4.36269 | + | 2.80373i | 0.401618 | + | 0.258104i | ||||
\(119\) | 9.67792 | − | 3.87445i | 0.887174 | − | 0.355171i | ||||
\(120\) | 3.51286 | − | 6.13707i | 0.320678 | − | 0.560235i | ||||
\(121\) | −2.78334 | − | 1.11428i | −0.253031 | − | 0.101298i | ||||
\(122\) | −5.50864 | + | 5.25248i | −0.498729 | + | 0.475537i | ||||
\(123\) | −12.6544 | + | 6.58349i | −1.14101 | + | 0.593614i | ||||
\(124\) | −5.81313 | + | 8.16340i | −0.522035 | + | 0.733095i | ||||
\(125\) | 26.1200 | − | 7.66951i | 2.33624 | − | 0.685982i | ||||
\(126\) | −4.58217 | − | 1.79498i | −0.408212 | − | 0.159909i | ||||
\(127\) | 7.87482 | − | 9.08803i | 0.698777 | − | 0.806432i | −0.289810 | − | 0.957084i | \(-0.593592\pi\) |
0.988587 | + | 0.150652i | \(0.0481374\pi\) | |||||||
\(128\) | −0.723734 | − | 0.690079i | −0.0639697 | − | 0.0609949i | ||||
\(129\) | 8.43597 | + | 1.59337i | 0.742746 | + | 0.140288i | ||||
\(130\) | −0.206562 | − | 4.33627i | −0.0181167 | − | 0.380316i | ||||
\(131\) | 2.96345 | − | 2.82564i | 0.258918 | − | 0.246878i | −0.549490 | − | 0.835500i | \(-0.685178\pi\) |
0.808408 | + | 0.588623i | \(0.200330\pi\) | |||||||
\(132\) | −4.11189 | + | 2.66422i | −0.357894 | + | 0.231891i | ||||
\(133\) | −1.76317 | + | 0.168362i | −0.152886 | + | 0.0145989i | ||||
\(134\) | 1.89560 | − | 13.1842i | 0.163755 | − | 1.13894i | ||||
\(135\) | 20.7845 | − | 4.24704i | 1.78885 | − | 0.365527i | ||||
\(136\) | 4.16161 | + | 4.80275i | 0.356855 | + | 0.411832i | ||||
\(137\) | −4.25818 | − | 7.37538i | −0.363801 | − | 0.630122i | 0.624782 | − | 0.780799i | \(-0.285188\pi\) |
−0.988583 | + | 0.150678i | \(0.951854\pi\) | |||||||
\(138\) | 1.79188 | − | 8.11105i | 0.152535 | − | 0.690459i | ||||
\(139\) | −5.14029 | + | 8.90325i | −0.435994 | + | 0.755164i | −0.997376 | − | 0.0723930i | \(-0.976936\pi\) |
0.561382 | + | 0.827557i | \(0.310270\pi\) | |||||||
\(140\) | −6.57613 | + | 1.26745i | −0.555784 | + | 0.107119i | ||||
\(141\) | −11.7525 | + | 4.75579i | −0.989736 | + | 0.400509i | ||||
\(142\) | −5.12254 | + | 2.05076i | −0.429874 | + | 0.172096i | ||||
\(143\) | −1.24953 | + | 2.73609i | −0.104491 | + | 0.228803i | ||||
\(144\) | 0.120443 | − | 2.99758i | 0.0100369 | − | 0.249798i | ||||
\(145\) | −11.4229 | − | 3.35407i | −0.948622 | − | 0.278540i | ||||
\(146\) | 3.99298 | + | 2.05852i | 0.330461 | + | 0.170365i | ||||
\(147\) | −2.46732 | − | 7.04394i | −0.203501 | − | 0.580974i | ||||
\(148\) | −0.976311 | + | 4.02441i | −0.0802523 | + | 0.330804i | ||||
\(149\) | 2.02862 | + | 5.86131i | 0.166191 | + | 0.480177i | 0.997089 | − | 0.0762475i | \(-0.0242939\pi\) |
−0.830898 | + | 0.556425i | \(0.812173\pi\) | |||||||
\(150\) | 14.5743 | − | 14.0004i | 1.18998 | − | 1.14313i | ||||
\(151\) | 9.17518 | + | 8.74851i | 0.746665 | + | 0.711944i | 0.964512 | − | 0.264039i | \(-0.0850548\pi\) |
−0.217847 | + | 0.975983i | \(0.569903\pi\) | |||||||
\(152\) | −0.448536 | − | 0.982157i | −0.0363811 | − | 0.0796635i | ||||
\(153\) | −2.57271 | + | 18.8905i | −0.207991 | + | 1.52720i | ||||
\(154\) | 4.45234 | + | 1.30732i | 0.358780 | + | 0.105347i | ||||
\(155\) | −32.1612 | + | 25.2918i | −2.58325 | + | 2.03149i | ||||
\(156\) | −0.926799 | − | 1.59156i | −0.0742033 | − | 0.127427i | ||||
\(157\) | 17.5505 | + | 13.8019i | 1.40069 | + | 1.10151i | 0.981036 | + | 0.193826i | \(0.0620897\pi\) |
0.419650 | + | 0.907686i | \(0.362153\pi\) | |||||||
\(158\) | −3.28636 | + | 1.69424i | −0.261449 | + | 0.134786i | ||||
\(159\) | 1.89769 | − | 4.19660i | 0.150496 | − | 0.332812i | ||||
\(160\) | −2.04132 | − | 3.53567i | −0.161380 | − | 0.279519i | ||||
\(161\) | −6.93080 | + | 3.72223i | −0.546224 | + | 0.293353i | ||||
\(162\) | 6.99090 | − | 5.66810i | 0.549257 | − | 0.445328i | ||||
\(163\) | −0.308513 | − | 0.356043i | −0.0241646 | − | 0.0278874i | 0.743539 | − | 0.668693i | \(-0.233146\pi\) |
−0.767703 | + | 0.640806i | \(0.778600\pi\) | |||||||
\(164\) | −0.391866 | + | 8.22628i | −0.0305996 | + | 0.642364i | ||||
\(165\) | −19.1718 | + | 5.70690i | −1.49252 | + | 0.444282i | ||||
\(166\) | −7.89513 | − | 11.0872i | −0.612781 | − | 0.860530i | ||||
\(167\) | −2.00748 | − | 0.803674i | −0.155344 | − | 0.0621902i | 0.292688 | − | 0.956208i | \(-0.405450\pi\) |
−0.448031 | + | 0.894018i | \(0.647875\pi\) | |||||||
\(168\) | −2.22683 | + | 1.76465i | −0.171804 | + | 0.136145i | ||||
\(169\) | 10.5499 | + | 5.43884i | 0.811529 | + | 0.418372i | ||||
\(170\) | 10.7779 | + | 23.6004i | 0.826629 | + | 1.81006i | ||||
\(171\) | 1.32365 | − | 2.95640i | 0.101222 | − | 0.226082i | ||||
\(172\) | 3.24590 | − | 3.74597i | 0.247498 | − | 0.285628i | ||||
\(173\) | −5.37729 | − | 1.03639i | −0.408828 | − | 0.0787951i | −0.0193090 | − | 0.999814i | \(-0.506147\pi\) |
−0.389519 | + | 0.921018i | \(0.627359\pi\) | |||||||
\(174\) | −4.95588 | + | 0.974305i | −0.375704 | + | 0.0738619i | ||||
\(175\) | −19.0534 | − | 1.81938i | −1.44030 | − | 0.137532i | ||||
\(176\) | 0.134598 | + | 2.82556i | 0.0101457 | + | 0.212985i | ||||
\(177\) | 8.35125 | + | 3.30734i | 0.627719 | + | 0.248595i | ||||
\(178\) | 9.55054 | − | 7.51063i | 0.715843 | − | 0.562945i | ||||
\(179\) | −7.06956 | + | 15.4802i | −0.528404 | + | 1.15704i | 0.437755 | + | 0.899095i | \(0.355774\pi\) |
−0.966159 | + | 0.257949i | \(0.916953\pi\) | |||||||
\(180\) | 3.91966 | − | 11.6038i | 0.292154 | − | 0.864894i | ||||
\(181\) | −4.10603 | − | 2.63878i | −0.305198 | − | 0.196139i | 0.379073 | − | 0.925367i | \(-0.376243\pi\) |
−0.684271 | + | 0.729228i | \(0.739879\pi\) | |||||||
\(182\) | −0.570500 | + | 1.64835i | −0.0422883 | + | 0.122184i | ||||
\(183\) | −7.60709 | + | 10.7672i | −0.562332 | + | 0.795936i | ||||
\(184\) | −3.52619 | − | 3.25054i | −0.259954 | − | 0.239633i | ||||
\(185\) | −8.45339 | + | 14.6417i | −0.621505 | + | 1.07648i | ||||
\(186\) | −7.15199 | + | 15.8161i | −0.524409 | + | 1.15970i | ||||
\(187\) | 0.855363 | − | 17.9563i | 0.0625504 | − | 1.31309i | ||||
\(188\) | −1.04171 | + | 7.24528i | −0.0759748 | + | 0.528416i | ||||
\(189\) | −8.38722 | − | 1.51961i | −0.610080 | − | 0.110535i | ||||
\(190\) | −0.627345 | − | 4.36328i | −0.0455124 | − | 0.316545i | ||||
\(191\) | −2.36428 | − | 9.74569i | −0.171073 | − | 0.705173i | −0.991131 | − | 0.132892i | \(-0.957574\pi\) |
0.820057 | − | 0.572281i | \(-0.193941\pi\) | |||||||
\(192\) | −1.46057 | − | 0.930989i | −0.105407 | − | 0.0671884i | ||||
\(193\) | 20.1492 | + | 1.92402i | 1.45037 | + | 0.138494i | 0.790306 | − | 0.612713i | \(-0.209922\pi\) |
0.660067 | + | 0.751206i | \(0.270528\pi\) | |||||||
\(194\) | 0.175366 | − | 0.722868i | 0.0125905 | − | 0.0518989i | ||||
\(195\) | −1.79988 | − | 7.30056i | −0.128892 | − | 0.522804i | ||||
\(196\) | −4.23122 | − | 0.815500i | −0.302230 | − | 0.0582500i | ||||
\(197\) | −19.3068 | + | 5.66899i | −1.37555 | + | 0.403899i | −0.884219 | − | 0.467073i | \(-0.845309\pi\) |
−0.491334 | + | 0.870971i | \(0.663490\pi\) | |||||||
\(198\) | −6.09807 | + | 5.90175i | −0.433371 | + | 0.419419i | ||||
\(199\) | −0.256471 | + | 0.164824i | −0.0181807 | + | 0.0116841i | −0.549700 | − | 0.835362i | \(-0.685258\pi\) |
0.531519 | + | 0.847046i | \(0.321621\pi\) | |||||||
\(200\) | −2.75081 | − | 11.3390i | −0.194512 | − | 0.801789i | ||||
\(201\) | −1.18347 | − | 23.0401i | −0.0834758 | − | 1.62513i | ||||
\(202\) | 7.53231 | + | 10.5776i | 0.529971 | + | 0.744240i | ||||
\(203\) | 3.76007 | + | 2.95695i | 0.263905 | + | 0.207537i | ||||
\(204\) | 8.67742 | + | 6.77190i | 0.607541 | + | 0.474128i | ||||
\(205\) | −10.9970 | + | 31.7737i | −0.768064 | + | 2.21917i | ||||
\(206\) | −0.810885 | −0.0564970 | ||||||||
\(207\) | 0.335281 | − | 14.3836i | 0.0233036 | − | 0.999728i | ||||
\(208\) | −1.06333 | −0.0737287 | ||||||||
\(209\) | −0.998964 | + | 2.88632i | −0.0690998 | + | 0.199651i | ||||
\(210\) | −10.7528 | + | 4.35125i | −0.742012 | + | 0.300265i | ||||
\(211\) | 2.99683 | + | 2.35673i | 0.206310 | + | 0.162244i | 0.715968 | − | 0.698133i | \(-0.245986\pi\) |
−0.509658 | + | 0.860377i | \(0.670228\pi\) | |||||||
\(212\) | −1.54244 | − | 2.16605i | −0.105935 | − | 0.148765i | ||||
\(213\) | −8.02066 | + | 5.19684i | −0.549567 | + | 0.356081i | ||||
\(214\) | −3.87938 | − | 15.9910i | −0.265189 | − | 1.09312i | ||||
\(215\) | 17.0237 | − | 10.9405i | 1.16101 | − | 0.746134i | ||||
\(216\) | −0.796852 | − | 5.13469i | −0.0542189 | − | 0.349371i | ||||
\(217\) | 15.7736 | − | 4.63155i | 1.07078 | − | 0.314410i | ||||
\(218\) | 7.13669 | + | 1.37548i | 0.483357 | + | 0.0931595i | ||||
\(219\) | 7.47394 | + | 2.16437i | 0.505042 | + | 0.146255i | ||||
\(220\) | −2.72273 | + | 11.2233i | −0.183567 | + | 0.756672i | ||||
\(221\) | 6.72681 | + | 0.642333i | 0.452494 | + | 0.0432080i | ||||
\(222\) | −0.314630 | + | 7.16577i | −0.0211166 | + | 0.480935i | ||||
\(223\) | 2.04180 | + | 8.41641i | 0.136729 | + | 0.563605i | 0.998421 | + | 0.0561731i | \(0.0178899\pi\) |
−0.861692 | + | 0.507432i | \(0.830595\pi\) | |||||||
\(224\) | 0.233453 | + | 1.62370i | 0.0155983 | + | 0.108488i | ||||
\(225\) | 20.0914 | − | 28.6635i | 1.33943 | − | 1.91090i | ||||
\(226\) | 2.00689 | − | 13.9582i | 0.133496 | − | 0.928486i | ||||
\(227\) | −1.00630 | + | 21.1247i | −0.0667901 | + | 1.40210i | 0.678129 | + | 0.734943i | \(0.262791\pi\) |
−0.744919 | + | 0.667155i | \(0.767512\pi\) | |||||||
\(228\) | −1.09045 | − | 1.51933i | −0.0722170 | − | 0.100620i | ||||
\(229\) | 6.96492 | − | 12.0636i | 0.460255 | − | 0.797185i | −0.538718 | − | 0.842486i | \(-0.681091\pi\) |
0.998973 | + | 0.0453010i | \(0.0144247\pi\) | |||||||
\(230\) | −10.0742 | − | 16.7891i | −0.664271 | − | 1.10704i | ||||
\(231\) | 8.00364 | + | 0.734214i | 0.526601 | + | 0.0483078i | ||||
\(232\) | −0.953746 | + | 2.75567i | −0.0626165 | + | 0.180918i | ||||
\(233\) | −15.8309 | − | 10.1739i | −1.03712 | − | 0.666515i | −0.0928449 | − | 0.995681i | \(-0.529596\pi\) |
−0.944272 | + | 0.329166i | \(0.893232\pi\) | |||||||
\(234\) | −2.10688 | − | 2.39522i | −0.137731 | − | 0.156581i | ||||
\(235\) | −12.4143 | + | 27.1835i | −0.809818 | + | 1.77325i | ||||
\(236\) | 4.07642 | − | 3.20573i | 0.265353 | − | 0.208676i | ||||
\(237\) | −5.01915 | + | 3.97742i | −0.326029 | + | 0.258361i | ||||
\(238\) | −0.496025 | − | 10.4129i | −0.0321525 | − | 0.674965i | ||||
\(239\) | −24.0336 | − | 2.29493i | −1.55460 | − | 0.148446i | −0.717916 | − | 0.696130i | \(-0.754904\pi\) |
−0.836686 | + | 0.547683i | \(0.815510\pi\) | |||||||
\(240\) | −4.65059 | − | 5.32689i | −0.300194 | − | 0.343849i | ||||
\(241\) | −10.2973 | − | 1.98464i | −0.663307 | − | 0.127842i | −0.153524 | − | 0.988145i | \(-0.549062\pi\) |
−0.509783 | + | 0.860303i | \(0.670274\pi\) | |||||||
\(242\) | −1.96334 | + | 2.26581i | −0.126208 | + | 0.145652i | ||||
\(243\) | 9.98735 | − | 11.9688i | 0.640689 | − | 0.767801i | ||||
\(244\) | 3.16190 | + | 6.92359i | 0.202420 | + | 0.443237i | ||||
\(245\) | −15.6368 | − | 8.06132i | −0.998997 | − | 0.515019i | ||||
\(246\) | 2.08257 | + | 14.1116i | 0.132780 | + | 0.899725i | ||||
\(247\) | −1.06587 | − | 0.426709i | −0.0678196 | − | 0.0271509i | ||||
\(248\) | 5.81313 | + | 8.16340i | 0.369134 | + | 0.518377i | ||||
\(249\) | −17.1223 | − | 16.2049i | −1.08508 | − | 1.02695i | ||||
\(250\) | 1.29531 | − | 27.1918i | 0.0819224 | − | 1.71976i | ||||
\(251\) | 5.77503 | + | 6.66474i | 0.364517 | + | 0.420674i | 0.908148 | − | 0.418650i | \(-0.137496\pi\) |
−0.543631 | + | 0.839324i | \(0.682951\pi\) | |||||||
\(252\) | −3.19494 | + | 3.74307i | −0.201262 | + | 0.235791i | ||||
\(253\) | 0.873776 | + | 13.5381i | 0.0549338 | + | 0.851133i | ||||
\(254\) | −6.01259 | − | 10.4141i | −0.377263 | − | 0.653440i | ||||
\(255\) | 26.2026 | + | 36.5081i | 1.64087 | + | 2.28623i | ||||
\(256\) | −0.888835 | + | 0.458227i | −0.0555522 | + | 0.0286392i | ||||
\(257\) | −12.9374 | − | 10.1741i | −0.807014 | − | 0.634643i | 0.126991 | − | 0.991904i | \(-0.459468\pi\) |
−0.934004 | + | 0.357261i | \(0.883711\pi\) | |||||||
\(258\) | 4.26487 | − | 7.45086i | 0.265519 | − | 0.463870i | ||||
\(259\) | 5.33976 | − | 4.19924i | 0.331797 | − | 0.260928i | ||||
\(260\) | −4.16534 | − | 1.22305i | −0.258323 | − | 0.0758506i | ||||
\(261\) | −8.09707 | + | 3.31170i | −0.501196 | + | 0.204989i | ||||
\(262\) | −1.70099 | − | 3.72464i | −0.105087 | − | 0.230109i | ||||
\(263\) | −2.33481 | − | 2.22624i | −0.143971 | − | 0.137276i | 0.614672 | − | 0.788783i | \(-0.289289\pi\) |
−0.758642 | + | 0.651507i | \(0.774137\pi\) | |||||||
\(264\) | 1.17282 | + | 4.75712i | 0.0721823 | + | 0.292780i | ||||
\(265\) | −3.55072 | − | 10.2591i | −0.218119 | − | 0.630213i | ||||
\(266\) | −0.417574 | + | 1.72126i | −0.0256031 | + | 0.105537i | ||||
\(267\) | 13.7219 | − | 15.9555i | 0.839766 | − | 0.976459i | ||||
\(268\) | −11.8391 | − | 6.10347i | −0.723187 | − | 0.372829i | ||||
\(269\) | −25.1264 | − | 7.37779i | −1.53199 | − | 0.449832i | −0.596328 | − | 0.802741i | \(-0.703374\pi\) |
−0.935658 | + | 0.352909i | \(0.885193\pi\) | |||||||
\(270\) | 2.78450 | − | 21.0305i | 0.169459 | − | 1.27987i | ||||
\(271\) | 0.945413 | − | 2.07017i | 0.0574298 | − | 0.125754i | −0.878741 | − | 0.477298i | \(-0.841616\pi\) |
0.936171 | + | 0.351545i | \(0.114343\pi\) | |||||||
\(272\) | 5.89973 | − | 2.36190i | 0.357724 | − | 0.143211i | ||||
\(273\) | −0.418831 | + | 2.99202i | −0.0253488 | + | 0.181085i | ||||
\(274\) | −8.36246 | + | 1.61173i | −0.505195 | + | 0.0973683i | ||||
\(275\) | −16.5029 | + | 28.5838i | −0.995161 | + | 1.72367i | ||||
\(276\) | −7.07888 | − | 4.34619i | −0.426099 | − | 0.261610i | ||||
\(277\) | 13.9670 | + | 24.1915i | 0.839193 | + | 1.45352i | 0.890570 | + | 0.454845i | \(0.150306\pi\) |
−0.0513775 | + | 0.998679i | \(0.516361\pi\) | |||||||
\(278\) | 6.73235 | + | 7.76955i | 0.403780 | + | 0.465986i | ||||
\(279\) | −6.87047 | + | 29.2694i | −0.411325 | + | 1.75232i | ||||
\(280\) | −0.953105 | + | 6.62899i | −0.0569589 | + | 0.396158i | ||||
\(281\) | 13.8318 | − | 1.32077i | 0.825134 | − | 0.0787907i | 0.326059 | − | 0.945350i | \(-0.394279\pi\) |
0.499075 | + | 0.866559i | \(0.333673\pi\) | |||||||
\(282\) | 0.650369 | + | 12.6615i | 0.0387289 | + | 0.753984i | ||||
\(283\) | 13.1414 | − | 12.5303i | 0.781175 | − | 0.744849i | −0.190368 | − | 0.981713i | \(-0.560968\pi\) |
0.971543 | + | 0.236864i | \(0.0761196\pi\) | |||||||
\(284\) | 0.262547 | + | 5.51154i | 0.0155793 | + | 0.327050i | ||||
\(285\) | −2.52404 | − | 7.20587i | −0.149511 | − | 0.426839i | ||||
\(286\) | 2.17693 | + | 2.07569i | 0.128724 | + | 0.122738i | ||||
\(287\) | 8.84696 | − | 10.2099i | 0.522220 | − | 0.602674i | ||||
\(288\) | −2.79332 | − | 1.09423i | −0.164598 | − | 0.0644782i | ||||
\(289\) | −22.4381 | + | 6.58843i | −1.31989 | + | 0.387554i | ||||
\(290\) | −6.90567 | + | 9.69766i | −0.405515 | + | 0.569466i | ||||
\(291\) | 0.0565141 | − | 1.28712i | 0.00331291 | − | 0.0754524i | ||||
\(292\) | 3.25128 | − | 3.10009i | 0.190267 | − | 0.181419i | ||||
\(293\) | 30.7241 | + | 12.3001i | 1.79492 | + | 0.718578i | 0.992562 | + | 0.121738i | \(0.0388467\pi\) |
0.802360 | + | 0.596841i | \(0.203578\pi\) | |||||||
\(294\) | −7.46351 | + | 0.0277697i | −0.435281 | + | 0.00161956i | ||||
\(295\) | 19.6557 | − | 7.86895i | 1.14440 | − | 0.458148i | ||||
\(296\) | 3.48375 | + | 2.23887i | 0.202489 | + | 0.130132i | ||||
\(297\) | −8.39190 | + | 12.0676i | −0.486947 | + | 0.700234i | ||||
\(298\) | 6.20244 | 0.359298 | ||||||||
\(299\) | −5.09883 | + | 0.0859372i | −0.294873 | + | 0.00496988i | ||||
\(300\) | −8.46364 | − | 18.3518i | −0.488648 | − | 1.05954i | ||||
\(301\) | −7.98392 | + | 1.53877i | −0.460185 | + | 0.0886935i | ||||
\(302\) | 11.2683 | − | 5.80919i | 0.648415 | − | 0.334281i | ||||
\(303\) | 16.3355 | + | 15.4602i | 0.938449 | + | 0.888167i | ||||
\(304\) | −1.07484 | + | 0.102635i | −0.0616464 | + | 0.00588652i | ||||
\(305\) | 4.42238 | + | 30.7583i | 0.253225 | + | 1.76122i | ||||
\(306\) | 17.0101 | + | 8.60968i | 0.972400 | + | 0.492183i | ||||
\(307\) | 2.23976 | − | 1.43941i | 0.127830 | − | 0.0821513i | −0.475163 | − | 0.879898i | \(-0.657611\pi\) |
0.602993 | + | 0.797746i | \(0.293975\pi\) | |||||||
\(308\) | 2.69164 | − | 3.77988i | 0.153370 | − | 0.215379i | ||||
\(309\) | −1.37811 | + | 0.270932i | −0.0783982 | + | 0.0154128i | ||||
\(310\) | 13.3819 | + | 38.6645i | 0.760042 | + | 2.19600i | ||||
\(311\) | −4.52462 | − | 13.0730i | −0.256568 | − | 0.741304i | −0.997562 | − | 0.0697919i | \(-0.977766\pi\) |
0.740994 | − | 0.671512i | \(-0.234355\pi\) | |||||||
\(312\) | −1.80715 | + | 0.355278i | −0.102310 | + | 0.0201137i | ||||
\(313\) | 2.77502 | − | 3.89697i | 0.156853 | − | 0.220270i | −0.728670 | − | 0.684865i | \(-0.759861\pi\) |
0.885523 | + | 0.464596i | \(0.153800\pi\) | |||||||
\(314\) | 18.7830 | − | 12.0711i | 1.05999 | − | 0.681213i | ||||
\(315\) | −16.8207 | + | 10.9877i | −0.947740 | + | 0.619089i | ||||
\(316\) | 0.526191 | + | 3.65974i | 0.0296006 | + | 0.205877i | ||||
\(317\) | −24.0045 | + | 2.29215i | −1.34823 | + | 0.128740i | −0.744058 | − | 0.668115i | \(-0.767101\pi\) |
−0.604170 | + | 0.796855i | \(0.706495\pi\) | |||||||
\(318\) | −3.34512 | − | 3.16589i | −0.187585 | − | 0.177534i | ||||
\(319\) | 7.33183 | − | 3.77982i | 0.410504 | − | 0.211629i | ||||
\(320\) | −4.00886 | + | 0.772644i | −0.224102 | + | 0.0431921i | ||||
\(321\) | −11.9360 | − | 25.8808i | −0.666201 | − | 1.44453i | ||||
\(322\) | 1.25067 | + | 7.76703i | 0.0696971 | + | 0.432840i | ||||
\(323\) | 6.86163 | 0.381791 | ||||||||
\(324\) | −3.06986 | − | 8.46026i | −0.170548 | − | 0.470014i | ||||
\(325\) | −10.4373 | − | 6.70765i | −0.578957 | − | 0.372073i | ||||
\(326\) | −0.437365 | + | 0.175095i | −0.0242234 | + | 0.00969759i | ||||
\(327\) | 12.5885 | − | 0.0468385i | 0.696146 | − | 0.00259017i | ||||
\(328\) | 7.64567 | + | 3.06086i | 0.422162 | + | 0.169008i | ||||
\(329\) | 8.69015 | − | 8.28604i | 0.479103 | − | 0.456824i | ||||
\(330\) | −0.877439 | + | 19.9839i | −0.0483014 | + | 1.10008i | ||||
\(331\) | 18.3270 | − | 25.7367i | 1.00734 | − | 1.41462i | 0.0996312 | − | 0.995024i | \(-0.468234\pi\) |
0.907713 | − | 0.419592i | \(-0.137827\pi\) | |||||||
\(332\) | −13.0596 | + | 3.83465i | −0.716740 | + | 0.210454i | ||||
\(333\) | 1.85950 | + | 12.2835i | 0.101900 | + | 0.673130i | ||||
\(334\) | −1.41606 | + | 1.63422i | −0.0774831 | + | 0.0894203i | ||||
\(335\) | −39.3565 | − | 37.5263i | −2.15027 | − | 2.05028i | ||||
\(336\) | 0.939268 | + | 2.68151i | 0.0512412 | + | 0.146289i | ||||
\(337\) | −0.738138 | − | 15.4954i | −0.0402089 | − | 0.844090i | −0.925430 | − | 0.378919i | \(-0.876296\pi\) |
0.885221 | − | 0.465171i | \(-0.154007\pi\) | |||||||
\(338\) | 8.59024 | − | 8.19077i | 0.467247 | − | 0.445519i | ||||
\(339\) | −1.25295 | − | 24.3928i | −0.0680510 | − | 1.32483i | ||||
\(340\) | 25.8275 | − | 2.46622i | 1.40069 | − | 0.133750i | ||||
\(341\) | 4.03447 | − | 28.0604i | 0.218479 | − | 1.51955i | ||||
\(342\) | −2.36088 | − | 2.21779i | −0.127662 | − | 0.119924i | ||||
\(343\) | 12.1486 | + | 14.0202i | 0.655963 | + | 0.757021i | ||||
\(344\) | −2.47831 | − | 4.29257i | −0.133622 | − | 0.231440i | ||||
\(345\) | −22.7308 | − | 25.1674i | −1.22378 | − | 1.35497i | ||||
\(346\) | −2.73813 | + | 4.74258i | −0.147203 | + | 0.254962i | ||||
\(347\) | 27.3735 | − | 5.27580i | 1.46949 | − | 0.283220i | 0.609193 | − | 0.793022i | \(-0.291493\pi\) |
0.860292 | + | 0.509802i | \(0.170281\pi\) | |||||||
\(348\) | −0.700189 | + | 5.00197i | −0.0375341 | + | 0.268134i | ||||
\(349\) | −15.2593 | + | 6.10891i | −0.816812 | + | 0.327002i | −0.742173 | − | 0.670208i | \(-0.766205\pi\) |
−0.0746391 | + | 0.997211i | \(0.523780\pi\) | |||||||
\(350\) | −7.95106 | + | 17.4104i | −0.425002 | + | 0.930625i | ||||
\(351\) | −4.38097 | − | 3.36678i | −0.233839 | − | 0.179705i | ||||
\(352\) | 2.71418 | + | 0.796955i | 0.144666 | + | 0.0424778i | ||||
\(353\) | 25.0815 | + | 12.9304i | 1.33495 | + | 0.688215i | 0.970067 | − | 0.242837i | \(-0.0780781\pi\) |
0.364885 | + | 0.931053i | \(0.381108\pi\) | |||||||
\(354\) | 5.85686 | − | 6.81022i | 0.311289 | − | 0.361959i | ||||
\(355\) | −5.31097 | + | 21.8921i | −0.281877 | + | 1.16191i | ||||
\(356\) | −3.97387 | − | 11.4818i | −0.210615 | − | 0.608532i | ||||
\(357\) | −4.32213 | − | 17.5311i | −0.228751 | − | 0.927845i | ||||
\(358\) | 12.3166 | + | 11.7438i | 0.650950 | + | 0.620680i | ||||
\(359\) | −7.36590 | − | 16.1291i | −0.388757 | − | 0.851260i | −0.998288 | − | 0.0584969i | \(-0.981369\pi\) |
0.609530 | − | 0.792763i | \(-0.291358\pi\) | |||||||
\(360\) | −9.68358 | − | 7.49930i | −0.510369 | − | 0.395248i | ||||
\(361\) | 17.1118 | + | 5.02447i | 0.900620 | + | 0.264446i | ||||
\(362\) | −3.83660 | + | 3.01714i | −0.201647 | + | 0.158577i | ||||
\(363\) | −2.57968 | + | 4.50678i | −0.135398 | + | 0.236544i | ||||
\(364\) | 1.37110 | + | 1.07825i | 0.0718653 | + | 0.0565155i | ||||
\(365\) | 16.3019 | − | 8.40420i | 0.853279 | − | 0.439896i | ||||
\(366\) | 7.68700 | + | 10.7103i | 0.401806 | + | 0.559837i | ||||
\(367\) | 6.83266 | + | 11.8345i | 0.356662 | + | 0.617756i | 0.987401 | − | 0.158239i | \(-0.0505815\pi\) |
−0.630739 | + | 0.775995i | \(0.717248\pi\) | |||||||
\(368\) | −4.22507 | + | 2.26910i | −0.220247 | + | 0.118285i | ||||
\(369\) | 8.25432 | + | 23.2872i | 0.429703 | + | 1.21228i | ||||
\(370\) | 11.0716 | + | 12.7773i | 0.575584 | + | 0.664260i | ||||
\(371\) | −0.207553 | + | 4.35707i | −0.0107756 | + | 0.226208i | ||||
\(372\) | 12.6071 | + | 11.9316i | 0.653646 | + | 0.618624i | ||||
\(373\) | 13.9028 | + | 19.5238i | 0.719861 | + | 1.01090i | 0.998720 | + | 0.0505714i | \(0.0161043\pi\) |
−0.278859 | + | 0.960332i | \(0.589956\pi\) | |||||||
\(374\) | −16.6889 | − | 6.68125i | −0.862965 | − | 0.345479i | ||||
\(375\) | −6.88389 | − | 46.6458i | −0.355483 | − | 2.40878i | ||||
\(376\) | 6.50608 | + | 3.35412i | 0.335526 | + | 0.172976i | ||||
\(377\) | 1.28809 | + | 2.82051i | 0.0663398 | + | 0.145264i | ||||
\(378\) | −4.17922 | + | 7.42891i | −0.214956 | + | 0.382102i | ||||
\(379\) | −1.88201 | + | 2.17196i | −0.0966726 | + | 0.111566i | −0.802024 | − | 0.597291i | \(-0.796244\pi\) |
0.705352 | + | 0.708857i | \(0.250789\pi\) | |||||||
\(380\) | −4.32848 | − | 0.834247i | −0.222047 | − | 0.0427960i | ||||
\(381\) | −13.6981 | − | 15.6901i | −0.701773 | − | 0.803826i | ||||
\(382\) | −9.98297 | − | 0.953258i | −0.510773 | − | 0.0487729i | ||||
\(383\) | 1.08185 | + | 22.7109i | 0.0552800 | + | 1.16047i | 0.840698 | + | 0.541505i | \(0.182145\pi\) |
−0.785418 | + | 0.618966i | \(0.787552\pi\) | |||||||
\(384\) | −1.35749 | + | 1.07574i | −0.0692742 | + | 0.0548962i | ||||
\(385\) | 14.8915 | − | 11.7108i | 0.758942 | − | 0.596838i | ||||
\(386\) | 8.40837 | − | 18.4118i | 0.427975 | − | 0.937134i | ||||
\(387\) | 4.75876 | − | 14.0879i | 0.241901 | − | 0.716126i | ||||
\(388\) | −0.625754 | − | 0.402148i | −0.0317679 | − | 0.0204160i | ||||
\(389\) | 5.63539 | − | 16.2824i | 0.285725 | − | 0.825550i | −0.707222 | − | 0.706992i | \(-0.750052\pi\) |
0.992947 | − | 0.118558i | \(-0.0378270\pi\) | |||||||
\(390\) | −7.48772 | − | 0.686887i | −0.379155 | − | 0.0347819i | ||||
\(391\) | 28.0992 | − | 11.8025i | 1.42104 | − | 0.596876i | ||||
\(392\) | −2.15454 | + | 3.73178i | −0.108821 | + | 0.188483i | ||||
\(393\) | −4.13533 | − | 5.76176i | −0.208600 | − | 0.290643i | ||||
\(394\) | −0.957438 | + | 20.0991i | −0.0482350 | + | 1.01258i | ||||
\(395\) | −2.14825 | + | 14.9414i | −0.108090 | + | 0.751783i | ||||
\(396\) | 3.58268 | + | 7.69295i | 0.180036 | + | 0.386585i | ||||
\(397\) | −3.16823 | − | 22.0355i | −0.159009 | − | 1.10593i | −0.900465 | − | 0.434929i | \(-0.856773\pi\) |
0.741456 | − | 0.671002i | \(-0.234136\pi\) | |||||||
\(398\) | 0.0718752 | + | 0.296274i | 0.00360278 | + | 0.0148509i | ||||
\(399\) | −0.134569 | + | 3.06484i | −0.00673687 | + | 0.153434i | ||||
\(400\) | −11.6151 | − | 1.10911i | −0.580754 | − | 0.0554553i | ||||
\(401\) | −0.368146 | + | 1.51752i | −0.0183843 | + | 0.0757813i | −0.980265 | − | 0.197689i | \(-0.936656\pi\) |
0.961880 | + | 0.273470i | \(0.0881715\pi\) | |||||||
\(402\) | −22.1600 | − | 6.41731i | −1.10524 | − | 0.320066i | ||||
\(403\) | 10.4638 | + | 2.01672i | 0.521237 | + | 0.100460i | ||||
\(404\) | 12.4595 | − | 3.65843i | 0.619881 | − | 0.182014i | ||||
\(405\) | −2.29436 | − | 36.6720i | −0.114007 | − | 1.82225i | ||||
\(406\) | 4.02412 | − | 2.58615i | 0.199714 | − | 0.128348i | ||||
\(407\) | −2.76175 | − | 11.3841i | −0.136895 | − | 0.564289i | ||||
\(408\) | 9.23755 | − | 5.98530i | 0.457327 | − | 0.296316i | ||||
\(409\) | 4.57155 | + | 6.41985i | 0.226049 | + | 0.317441i | 0.911987 | − | 0.410218i | \(-0.134548\pi\) |
−0.685939 | + | 0.727659i | \(0.740608\pi\) | |||||||
\(410\) | 26.4294 | + | 20.7843i | 1.30526 | + | 1.02647i | ||||
\(411\) | −13.6736 | + | 5.53322i | −0.674471 | + | 0.272934i | ||||
\(412\) | −0.265214 | + | 0.766287i | −0.0130662 | + | 0.0377522i | ||||
\(413\) | −8.50702 | −0.418603 | ||||||||
\(414\) | −13.4828 | − | 5.02125i | −0.662646 | − | 0.246781i | ||||
\(415\) | −55.5686 | −2.72775 | ||||||||
\(416\) | −0.347781 | + | 1.00485i | −0.0170514 | + | 0.0492667i | ||||
\(417\) | 14.0377 | + | 10.9551i | 0.687430 | + | 0.536473i | ||||
\(418\) | 2.40084 | + | 1.88804i | 0.117429 | + | 0.0923473i | ||||
\(419\) | −12.6437 | − | 17.7556i | −0.617684 | − | 0.867416i | 0.380674 | − | 0.924709i | \(-0.375692\pi\) |
−0.998357 | + | 0.0572940i | \(0.981753\pi\) | |||||||
\(420\) | 0.595048 | + | 11.5845i | 0.0290354 | + | 0.565268i | ||||
\(421\) | −4.21383 | − | 17.3697i | −0.205370 | − | 0.846545i | −0.977475 | − | 0.211051i | \(-0.932311\pi\) |
0.772105 | − | 0.635494i | \(-0.219204\pi\) | |||||||
\(422\) | 3.20728 | − | 2.06120i | 0.156128 | − | 0.100337i | ||||
\(423\) | 5.33577 | + | 21.3012i | 0.259434 | + | 1.03570i | ||||
\(424\) | −2.55140 | + | 0.749160i | −0.123907 | + | 0.0363824i | ||||
\(425\) | 72.8090 | + | 14.0328i | 3.53176 | + | 0.680690i | ||||
\(426\) | 2.28771 | + | 9.27925i | 0.110840 | + | 0.449581i | ||||
\(427\) | 2.94363 | − | 12.1338i | 0.142452 | − | 0.587196i | ||||
\(428\) | −16.3803 | − | 1.56413i | −0.791773 | − | 0.0756052i | ||||
\(429\) | 4.39326 | + | 2.80033i | 0.212108 | + | 0.135201i | ||||
\(430\) | −4.77084 | − | 19.6657i | −0.230070 | − | 0.948363i | ||||
\(431\) | 2.55409 | + | 17.7641i | 0.123026 | + | 0.855666i | 0.954097 | + | 0.299499i | \(0.0968194\pi\) |
−0.831071 | + | 0.556167i | \(0.812271\pi\) | |||||||
\(432\) | −5.11291 | − | 0.926366i | −0.245995 | − | 0.0445698i | ||||
\(433\) | 3.03847 | − | 21.1330i | 0.146020 | − | 1.01559i | −0.776632 | − | 0.629955i | \(-0.783073\pi\) |
0.922652 | − | 0.385635i | \(-0.126017\pi\) | |||||||
\(434\) | 0.782225 | − | 16.4209i | 0.0375480 | − | 0.788229i | ||||
\(435\) | −8.49615 | + | 18.7887i | −0.407359 | + | 0.900847i | ||||
\(436\) | 3.63401 | − | 6.29430i | 0.174038 | − | 0.301442i | ||||
\(437\) | −5.14573 | + | 0.579017i | −0.246154 | + | 0.0276982i | ||||
\(438\) | 4.48982 | − | 6.35498i | 0.214532 | − | 0.303653i | ||||
\(439\) | −3.83206 | + | 11.0720i | −0.182894 | + | 0.528439i | −0.998759 | − | 0.0498042i | \(-0.984140\pi\) |
0.815865 | + | 0.578243i | \(0.196261\pi\) | |||||||
\(440\) | 9.71548 | + | 6.24376i | 0.463167 | + | 0.297659i | ||||
\(441\) | −12.6751 | + | 2.54089i | −0.603576 | + | 0.120995i | ||||
\(442\) | 2.80713 | − | 6.14676i | 0.133522 | − | 0.292371i | ||||
\(443\) | −30.0504 | + | 23.6319i | −1.42774 | + | 1.12278i | −0.455102 | + | 0.890439i | \(0.650397\pi\) |
−0.972634 | + | 0.232345i | \(0.925360\pi\) | |||||||
\(444\) | 6.66875 | + | 2.64102i | 0.316485 | + | 0.125337i | ||||
\(445\) | −2.36025 | − | 49.5478i | −0.111887 | − | 2.34879i | ||||
\(446\) | 8.62133 | + | 0.823237i | 0.408232 | + | 0.0389814i | ||||
\(447\) | 10.5412 | − | 2.07235i | 0.498580 | − | 0.0980188i | ||||
\(448\) | 1.61076 | + | 0.310448i | 0.0761011 | + | 0.0146673i | ||||
\(449\) | 9.73702 | − | 11.2371i | 0.459518 | − | 0.530312i | −0.477948 | − | 0.878388i | \(-0.658619\pi\) |
0.937466 | + | 0.348076i | \(0.113165\pi\) | |||||||
\(450\) | −20.5158 | − | 28.3613i | −0.967123 | − | 1.33697i | ||||
\(451\) | −9.67775 | − | 21.1913i | −0.455707 | − | 0.997860i | ||||
\(452\) | −12.5341 | − | 6.46179i | −0.589556 | − | 0.303937i | ||||
\(453\) | 17.2097 | − | 13.6378i | 0.808581 | − | 0.640758i | ||||
\(454\) | 19.6338 | + | 7.86017i | 0.921458 | + | 0.368896i | ||||
\(455\) | 4.13075 | + | 5.80083i | 0.193653 | + | 0.271947i | ||||
\(456\) | −1.79242 | + | 0.533554i | −0.0839378 | + | 0.0249860i | ||||
\(457\) | −1.32114 | + | 27.7342i | −0.0618005 | + | 1.29735i | 0.728675 | + | 0.684859i | \(0.240136\pi\) |
−0.790476 | + | 0.612493i | \(0.790167\pi\) | |||||||
\(458\) | −9.12211 | − | 10.5275i | −0.426248 | − | 0.491916i | ||||
\(459\) | 31.7856 | + | 8.94894i | 1.48362 | + | 0.417701i | ||||
\(460\) | −19.1606 | + | 4.02894i | −0.893369 | + | 0.187850i | ||||
\(461\) | 8.47955 | + | 14.6870i | 0.394932 | + | 0.684042i | 0.993093 | − | 0.117334i | \(-0.0374348\pi\) |
−0.598161 | + | 0.801376i | \(0.704101\pi\) | |||||||
\(462\) | 3.31157 | − | 7.32330i | 0.154068 | − | 0.340711i | ||||
\(463\) | 2.99869 | − | 1.54593i | 0.139361 | − | 0.0718454i | −0.387136 | − | 0.922023i | \(-0.626536\pi\) |
0.526497 | + | 0.850177i | \(0.323505\pi\) | |||||||
\(464\) | 2.29217 | + | 1.80258i | 0.106411 | + | 0.0836827i | ||||
\(465\) | 35.6614 | + | 61.2399i | 1.65376 | + | 2.83993i | ||||
\(466\) | −14.7921 | + | 11.6327i | −0.685232 | + | 0.538872i | ||||
\(467\) | 27.7624 | + | 8.15177i | 1.28469 | + | 0.377219i | 0.851629 | − | 0.524145i | \(-0.175615\pi\) |
0.433061 | + | 0.901364i | \(0.357433\pi\) | |||||||
\(468\) | −2.95258 | + | 1.20760i | −0.136483 | + | 0.0558215i | ||||
\(469\) | 9.07671 | + | 19.8752i | 0.419124 | + | 0.917753i | ||||
\(470\) | 21.6281 | + | 20.6223i | 0.997629 | + | 0.951237i | ||||
\(471\) | 27.8889 | − | 26.7909i | 1.28505 | − | 1.23446i | ||||
\(472\) | −1.69615 | − | 4.90072i | −0.0780718 | − | 0.225574i | ||||
\(473\) | −3.30561 | + | 13.6259i | −0.151992 | + | 0.626519i | ||||
\(474\) | 2.11706 | + | 6.04399i | 0.0972398 | + | 0.277610i | ||||
\(475\) | −11.1977 | − | 5.77283i | −0.513787 | − | 0.264876i | ||||
\(476\) | −10.0024 | − | 2.93697i | −0.458459 | − | 0.134616i | ||||
\(477\) | −6.74288 | − | 4.26282i | −0.308735 | − | 0.195181i | ||||
\(478\) | −10.0293 | + | 21.9611i | −0.458730 | + | 1.00448i | ||||
\(479\) | −4.50642 | + | 1.80410i | −0.205904 | + | 0.0824314i | −0.472322 | − | 0.881426i | \(-0.656584\pi\) |
0.266418 | + | 0.963858i | \(0.414160\pi\) | |||||||
\(480\) | −6.55497 | + | 2.65256i | −0.299192 | + | 0.121072i | ||||
\(481\) | 4.32383 | − | 0.833349i | 0.197150 | − | 0.0379975i | ||||
\(482\) | −5.24340 | + | 9.08184i | −0.238831 | + | 0.413667i | ||||
\(483\) | 4.72065 | + | 12.7823i | 0.214797 | + | 0.581617i | ||||
\(484\) | 1.49905 | + | 2.59643i | 0.0681386 | + | 0.118020i | ||||
\(485\) | −1.98869 | − | 2.29507i | −0.0903016 | − | 0.104214i | ||||
\(486\) | −8.04401 | − | 13.3527i | −0.364884 | − | 0.605689i | ||||
\(487\) | −0.0985887 | + | 0.685699i | −0.00446748 | + | 0.0310720i | −0.991933 | − | 0.126761i | \(-0.959542\pi\) |
0.987466 | + | 0.157833i | \(0.0504509\pi\) | |||||||
\(488\) | 7.57695 | − | 0.723511i | 0.342992 | − | 0.0327518i | ||||
\(489\) | −0.684808 | + | 0.443708i | −0.0309681 | + | 0.0200652i | ||||
\(490\) | −12.7322 | + | 12.1402i | −0.575184 | + | 0.548437i | ||||
\(491\) | −0.480085 | − | 10.0782i | −0.0216659 | − | 0.454824i | −0.983468 | − | 0.181080i | \(-0.942041\pi\) |
0.961803 | − | 0.273744i | \(-0.0882622\pi\) | |||||||
\(492\) | 14.0167 | + | 2.64744i | 0.631920 | + | 0.119356i | ||||
\(493\) | −13.4118 | − | 12.7881i | −0.604035 | − | 0.575946i | ||||
\(494\) | −0.751852 | + | 0.867684i | −0.0338274 | + | 0.0390389i | ||||
\(495\) | 5.18576 | + | 34.2561i | 0.233082 | + | 1.53970i | ||||
\(496\) | 9.61571 | − | 2.82343i | 0.431758 | − | 0.126776i | ||||
\(497\) | 5.25032 | − | 7.37304i | 0.235509 | − | 0.330726i | ||||
\(498\) | −20.9138 | + | 10.8805i | −0.937172 | + | 0.487568i | ||||
\(499\) | −0.240853 | + | 0.229653i | −0.0107821 | + | 0.0102807i | −0.695451 | − | 0.718574i | \(-0.744795\pi\) |
0.684669 | + | 0.728854i | \(0.259947\pi\) | |||||||
\(500\) | −25.2726 | − | 10.1176i | −1.13023 | − | 0.452475i | ||||
\(501\) | −1.86059 | + | 3.25051i | −0.0831251 | + | 0.145222i | ||||
\(502\) | 8.18701 | − | 3.27758i | 0.365404 | − | 0.146286i | ||||
\(503\) | −20.9495 | − | 13.4635i | −0.934094 | − | 0.600306i | −0.0173796 | − | 0.999849i | \(-0.505532\pi\) |
−0.916714 | + | 0.399543i | \(0.869169\pi\) | |||||||
\(504\) | 2.49225 | + | 4.24346i | 0.111013 | + | 0.189019i | ||||
\(505\) | 53.0149 | 2.35913 | ||||||||
\(506\) | 13.0793 | + | 3.60216i | 0.581446 | + | 0.160136i | ||||
\(507\) | 11.8626 | − | 16.7905i | 0.526836 | − | 0.745694i | ||||
\(508\) | −11.8079 | + | 2.27578i | −0.523890 | + | 0.100971i | ||||
\(509\) | 28.1292 | − | 14.5016i | 1.24681 | − | 0.642773i | 0.296781 | − | 0.954946i | \(-0.404087\pi\) |
0.950025 | + | 0.312172i | \(0.101057\pi\) | |||||||
\(510\) | 43.0703 | − | 12.8208i | 1.90718 | − | 0.567716i | ||||
\(511\) | −7.33592 | + | 0.700495i | −0.324522 | + | 0.0309881i | ||||
\(512\) | 0.142315 | + | 0.989821i | 0.00628949 | + | 0.0437443i | ||||
\(513\) | −4.75337 | − | 2.98036i | −0.209866 | − | 0.131586i | ||||
\(514\) | −13.8459 | + | 8.89825i | −0.610718 | + | 0.392485i | ||||
\(515\) | −1.92031 | + | 2.69669i | −0.0846188 | + | 0.118830i | ||||
\(516\) | −5.64617 | − | 6.46725i | −0.248559 | − | 0.284705i | ||||
\(517\) | −6.77225 | − | 19.5671i | −0.297843 | − | 0.860561i | ||||
\(518\) | −2.22182 | − | 6.41951i | −0.0976210 | − | 0.282057i | ||||
\(519\) | −3.06892 | + | 8.97496i | −0.134711 | + | 0.393957i | ||||
\(520\) | −2.51814 | + | 3.53623i | −0.110428 | + | 0.155074i | ||||
\(521\) | −30.3962 | + | 19.5345i | −1.33168 | + | 0.855821i | −0.996273 | − | 0.0862517i | \(-0.972511\pi\) |
−0.335410 | + | 0.942072i | \(0.608875\pi\) | |||||||
\(522\) | 0.481266 | + | 8.73489i | 0.0210644 | + | 0.382316i | ||||
\(523\) | −0.0915362 | − | 0.636649i | −0.00400260 | − | 0.0278387i | 0.987722 | − | 0.156220i | \(-0.0499309\pi\) |
−0.991725 | + | 0.128381i | \(0.959022\pi\) | |||||||
\(524\) | −4.07612 | + | 0.389223i | −0.178066 | + | 0.0170033i | ||||
\(525\) | −7.69585 | + | 32.2459i | −0.335874 | + | 1.40733i | ||||
\(526\) | −2.86744 | + | 1.47827i | −0.125026 | + | 0.0644556i | ||||
\(527\) | −62.5362 | + | 12.0529i | −2.72412 | + | 0.525031i | ||||
\(528\) | 4.87908 | + | 0.447582i | 0.212334 | + | 0.0194785i | ||||
\(529\) | −20.0764 | + | 11.2221i | −0.872889 | + | 0.487919i | ||||
\(530\) | −10.8562 | −0.471563 | ||||||||
\(531\) | 7.67843 | − | 13.5310i | 0.333216 | − | 0.587194i | ||||
\(532\) | 1.49002 | + | 0.957578i | 0.0646006 | + | 0.0415163i | ||||
\(533\) | 8.12987 | − | 3.25471i | 0.352144 | − | 0.140977i | ||||
\(534\) | −10.5899 | − | 18.1857i | −0.458272 | − | 0.786973i | ||||
\(535\) | −62.3669 | − | 24.9680i | −2.69636 | − | 1.07946i | ||||
\(536\) | −9.63997 | + | 9.19169i | −0.416383 | + | 0.397021i | ||||
\(537\) | 24.8561 | + | 15.8436i | 1.07262 | + | 0.683704i | ||||
\(538\) | −15.1901 | + | 21.3315i | −0.654890 | + | 0.919665i | ||||
\(539\) | 11.6956 | − | 3.43415i | 0.503767 | − | 0.147919i | ||||
\(540\) | −18.9631 | − | 9.50974i | −0.816041 | − | 0.409234i | ||||
\(541\) | −0.673468 | + | 0.777224i | −0.0289547 | + | 0.0334155i | −0.770042 | − | 0.637993i | \(-0.779765\pi\) |
0.741088 | + | 0.671408i | \(0.234310\pi\) | |||||||
\(542\) | −1.64709 | − | 1.57050i | −0.0707488 | − | 0.0674588i | ||||
\(543\) | −5.51230 | + | 6.40956i | −0.236555 | + | 0.275061i | ||||
\(544\) | −0.302381 | − | 6.34775i | −0.0129645 | − | 0.272158i | ||||
\(545\) | 21.4752 | − | 20.4765i | 0.919894 | − | 0.877118i | ||||
\(546\) | 2.69048 | + | 1.37439i | 0.115142 | + | 0.0588185i | ||||
\(547\) | −0.725575 | + | 0.0692841i | −0.0310234 | + | 0.00296237i | −0.110556 | − | 0.993870i | \(-0.535263\pi\) |
0.0795328 | + | 0.996832i | \(0.474657\pi\) | |||||||
\(548\) | −1.21200 | + | 8.42967i | −0.0517743 | + | 0.360098i | ||||
\(549\) | 16.6427 | + | 15.6340i | 0.710294 | + | 0.667244i | ||||
\(550\) | 21.6142 | + | 24.9441i | 0.921632 | + | 1.06362i | ||||
\(551\) | 1.57427 | + | 2.72672i | 0.0670663 | + | 0.116162i | ||||
\(552\) | −6.42243 | + | 5.26805i | −0.273357 | + | 0.224223i | ||||
\(553\) | 3.03259 | − | 5.25260i | 0.128959 | − | 0.223363i | ||||
\(554\) | 27.4291 | − | 5.28653i | 1.16535 | − | 0.224603i | ||||
\(555\) | 23.0855 | + | 18.0160i | 0.979925 | + | 0.764738i | ||||
\(556\) | 9.54417 | − | 3.82091i | 0.404763 | − | 0.162043i | ||||
\(557\) | 1.75942 | − | 3.85260i | 0.0745492 | − | 0.163240i | −0.868688 | − | 0.495359i | \(-0.835036\pi\) |
0.943237 | + | 0.332119i | \(0.107764\pi\) | |||||||
\(558\) | 25.4125 | + | 16.0657i | 1.07580 | + | 0.680115i | ||||
\(559\) | −5.05704 | − | 1.48488i | −0.213890 | − | 0.0628038i | ||||
\(560\) | 5.95267 | + | 3.06881i | 0.251546 | + | 0.129681i | ||||
\(561\) | −30.5955 | − | 5.77882i | −1.29174 | − | 0.243982i | ||||
\(562\) | 3.27579 | − | 13.5030i | 0.138181 | − | 0.569590i | ||||
\(563\) | 12.8859 | + | 37.2312i | 0.543074 | + | 1.56911i | 0.798320 | + | 0.602233i | \(0.205722\pi\) |
−0.255246 | + | 0.966876i | \(0.582156\pi\) | |||||||
\(564\) | 12.1779 | + | 3.52659i | 0.512782 | + | 0.148496i | ||||
\(565\) | −41.6670 | − | 39.7294i | −1.75294 | − | 1.67143i | ||||
\(566\) | −7.54301 | − | 16.5169i | −0.317056 | − | 0.694257i | ||||
\(567\) | −4.62053 | + | 14.0219i | −0.194044 | + | 0.588866i | ||||
\(568\) | 5.29428 | + | 1.55454i | 0.222143 | + | 0.0652271i | ||||
\(569\) | −21.2921 | + | 16.7443i | −0.892613 | + | 0.701959i | −0.955162 | − | 0.296083i | \(-0.904319\pi\) |
0.0625490 | + | 0.998042i | \(0.480077\pi\) | |||||||
\(570\) | −7.63508 | + | 0.0284081i | −0.319798 | + | 0.00118988i | ||||
\(571\) | −17.4317 | − | 13.7085i | −0.729495 | − | 0.573681i | 0.182832 | − | 0.983144i | \(-0.441474\pi\) |
−0.912327 | + | 0.409463i | \(0.865716\pi\) | |||||||
\(572\) | 2.67354 | − | 1.37830i | 0.111786 | − | 0.0576298i | ||||
\(573\) | −17.2847 | + | 1.71541i | −0.722080 | + | 0.0716624i | ||||
\(574\) | −6.75484 | − | 11.6997i | −0.281942 | − | 0.488337i | ||||
\(575\) | −55.7857 | − | 4.37961i | −2.32642 | − | 0.182642i | ||||
\(576\) | −1.94766 | + | 2.28181i | −0.0811523 | + | 0.0950752i | ||||
\(577\) | −3.65817 | − | 4.22175i | −0.152291 | − | 0.175754i | 0.674477 | − | 0.738295i | \(-0.264369\pi\) |
−0.826769 | + | 0.562542i | \(0.809824\pi\) | |||||||
\(578\) | −1.11272 | + | 23.3589i | −0.0462831 | + | 0.971602i | ||||
\(579\) | 8.13847 | − | 34.1005i | 0.338223 | − | 1.41717i | ||||
\(580\) | 6.90567 | + | 9.69766i | 0.286742 | + | 0.402673i | ||||
\(581\) | 20.7281 | + | 8.29826i | 0.859945 | + | 0.344270i | ||||
\(582\) | −1.19785 | − | 0.474382i | −0.0496523 | − | 0.0196638i | ||||
\(583\) | 6.68583 | + | 3.44678i | 0.276899 | + | 0.142751i | ||||
\(584\) | −1.86620 | − | 4.08641i | −0.0772239 | − | 0.169097i | ||||
\(585\) | −12.9550 | + | 1.33441i | −0.535624 | + | 0.0551710i | ||||
\(586\) | 21.6725 | − | 25.0114i | 0.895281 | − | 1.03321i | ||||
\(587\) | 23.8140 | + | 4.58977i | 0.982908 | + | 0.189440i | 0.655296 | − | 0.755372i | \(-0.272544\pi\) |
0.327612 | + | 0.944812i | \(0.393756\pi\) | |||||||
\(588\) | −2.41483 | + | 7.06210i | −0.0995860 | + | 0.291236i | ||||
\(589\) | 10.7717 | + | 1.02857i | 0.443840 | + | 0.0423816i | ||||
\(590\) | −1.00742 | − | 21.1483i | −0.0414748 | − | 0.870662i | ||||
\(591\) | 5.08829 | + | 34.4787i | 0.209304 | + | 1.41826i | ||||
\(592\) | 3.25516 | − | 2.55988i | 0.133786 | − | 0.105211i | ||||
\(593\) | 1.88003 | − | 4.11669i | 0.0772035 | − | 0.169052i | −0.867095 | − | 0.498144i | \(-0.834015\pi\) |
0.944298 | + | 0.329092i | \(0.106742\pi\) | |||||||
\(594\) | 8.65919 | + | 11.8773i | 0.355291 | + | 0.487331i | ||||
\(595\) | −35.8038 | − | 23.0097i | −1.46781 | − | 0.943307i | ||||
\(596\) | 2.02862 | − | 5.86131i | 0.0830955 | − | 0.240089i | ||||
\(597\) | 0.221144 | + | 0.479508i | 0.00905082 | + | 0.0196250i | ||||
\(598\) | −1.58645 | + | 4.84650i | −0.0648749 | + | 0.198188i | ||||
\(599\) | 18.0048 | − | 31.1852i | 0.735656 | − | 1.27419i | −0.218779 | − | 0.975774i | \(-0.570207\pi\) |
0.954435 | − | 0.298419i | \(-0.0964592\pi\) | |||||||
\(600\) | −20.1106 | + | 1.99587i | −0.821013 | + | 0.0814809i | ||||
\(601\) | −0.918039 | + | 19.2720i | −0.0374476 | + | 0.786121i | 0.899557 | + | 0.436804i | \(0.143890\pi\) |
−0.937004 | + | 0.349318i | \(0.886413\pi\) | |||||||
\(602\) | −1.15714 | + | 8.04809i | −0.0471616 | + | 0.328016i | ||||
\(603\) | −39.8055 | − | 3.50226i | −1.62101 | − | 0.142623i | ||||
\(604\) | −1.80420 | − | 12.5485i | −0.0734120 | − | 0.510592i | ||||
\(605\) | 2.88572 | + | 11.8951i | 0.117321 | + | 0.483605i | ||||
\(606\) | 19.9527 | − | 10.3805i | 0.810524 | − | 0.421679i | ||||
\(607\) | −19.1428 | − | 1.82792i | −0.776984 | − | 0.0741930i | −0.300973 | − | 0.953633i | \(-0.597312\pi\) |
−0.476011 | + | 0.879440i | \(0.657918\pi\) | |||||||
\(608\) | −0.254556 | + | 1.04929i | −0.0103236 | + | 0.0425545i | ||||
\(609\) | 5.97499 | − | 5.73974i | 0.242119 | − | 0.232586i | ||||
\(610\) | 30.5131 | + | 5.88091i | 1.23544 | + | 0.238111i | ||||
\(611\) | 7.46807 | − | 2.19282i | 0.302126 | − | 0.0887121i | ||||
\(612\) | 13.6996 | − | 13.2586i | 0.553773 | − | 0.535946i | ||||
\(613\) | 5.95652 | − | 3.82802i | 0.240582 | − | 0.154612i | −0.414794 | − | 0.909915i | \(-0.636147\pi\) |
0.655376 | + | 0.755303i | \(0.272510\pi\) | |||||||
\(614\) | −0.627687 | − | 2.58736i | −0.0253314 | − | 0.104417i | ||||
\(615\) | 51.8618 | + | 26.4928i | 2.09127 | + | 1.06829i | ||||
\(616\) | −2.69164 | − | 3.77988i | −0.108449 | − | 0.152296i | ||||
\(617\) | −13.3010 | − | 10.4600i | −0.535479 | − | 0.421105i | 0.313456 | − | 0.949603i | \(-0.398513\pi\) |
−0.848935 | + | 0.528498i | \(0.822756\pi\) | |||||||
\(618\) | −0.194706 | + | 1.39093i | −0.00783224 | + | 0.0559515i | ||||
\(619\) | 4.66797 | − | 13.4872i | 0.187622 | − | 0.542097i | −0.811484 | − | 0.584374i | \(-0.801340\pi\) |
0.999106 | + | 0.0422770i | \(0.0134612\pi\) | |||||||
\(620\) | 40.9148 | 1.64318 | ||||||||
\(621\) | −24.5920 | − | 4.02884i | −0.986845 | − | 0.161672i | ||||
\(622\) | −13.8339 | −0.554688 | ||||||||
\(623\) | −6.51874 | + | 18.8347i | −0.261168 | + | 0.754595i | ||||
\(624\) | −0.255323 | + | 1.82396i | −0.0102211 | + | 0.0730168i | ||||
\(625\) | −41.5041 | − | 32.6392i | −1.66016 | − | 1.30557i | ||||
\(626\) | −2.77502 | − | 3.89697i | −0.110912 | − | 0.155754i | ||||
\(627\) | 4.71111 | + | 2.40660i | 0.188144 | + | 0.0961104i | ||||
\(628\) | −5.26389 | − | 21.6981i | −0.210052 | − | 0.865847i | ||||
\(629\) | −22.1391 | + | 14.2279i | −0.882742 | + | 0.567304i | ||||
\(630\) | 4.88191 | + | 19.4893i | 0.194500 | + | 0.776474i | ||||
\(631\) | −11.3282 | + | 3.32625i | −0.450967 | + | 0.132416i | −0.499326 | − | 0.866414i | \(-0.666419\pi\) |
0.0483592 | + | 0.998830i | \(0.484601\pi\) | |||||||
\(632\) | 3.63056 | + | 0.699733i | 0.144416 | + | 0.0278339i | ||||
\(633\) | 4.76215 | − | 4.57465i | 0.189279 | − | 0.181826i | ||||
\(634\) | −5.68502 | + | 23.4340i | −0.225781 | + | 0.930682i | ||||
\(635\) | −48.8721 | − | 4.66672i | −1.93943 | − | 0.185193i | ||||
\(636\) | −4.08585 | + | 2.12568i | −0.162014 | + | 0.0842888i | ||||
\(637\) | 1.08024 | + | 4.45282i | 0.0428008 | + | 0.176427i | ||||
\(638\) | −1.17393 | − | 8.16485i | −0.0464762 | − | 0.323249i | ||||
\(639\) | 6.98838 | + | 15.0059i | 0.276456 | + | 0.593624i | ||||
\(640\) | −0.581020 | + | 4.04108i | −0.0229668 | + | 0.159738i | ||||
\(641\) | 0.296694 | − | 6.22837i | 0.0117187 | − | 0.246006i | −0.985406 | − | 0.170223i | \(-0.945551\pi\) |
0.997124 | − | 0.0757832i | \(-0.0241457\pi\) | |||||||
\(642\) | −28.3613 | + | 2.81470i | −1.11933 | + | 0.111087i | ||||
\(643\) | −8.63788 | + | 14.9613i | −0.340645 | + | 0.590014i | −0.984553 | − | 0.175089i | \(-0.943979\pi\) |
0.643908 | + | 0.765103i | \(0.277312\pi\) | |||||||
\(644\) | 7.74891 | + | 1.35846i | 0.305350 | + | 0.0535310i | ||||
\(645\) | −14.6788 | − | 31.8282i | −0.577977 | − | 1.25323i | ||||
\(646\) | 2.24422 | − | 6.48425i | 0.0882977 | − | 0.255119i | ||||
\(647\) | 2.26705 | + | 1.45694i | 0.0891269 | + | 0.0572784i | 0.584445 | − | 0.811433i | \(-0.301312\pi\) |
−0.495318 | + | 0.868712i | \(0.664949\pi\) | |||||||
\(648\) | −8.99900 | + | 0.133941i | −0.353514 | + | 0.00526169i | ||||
\(649\) | −6.09405 | + | 13.3441i | −0.239212 | + | 0.523802i | ||||
\(650\) | −9.75244 | + | 7.66940i | −0.382522 | + | 0.300819i | ||||
\(651\) | −4.15713 | − | 28.1690i | −0.162931 | − | 1.10403i | ||||
\(652\) | 0.0224164 | + | 0.470578i | 0.000877894 | + | 0.0184293i | ||||
\(653\) | −1.27855 | − | 0.122087i | −0.0500335 | − | 0.00477762i | 0.0700092 | − | 0.997546i | \(-0.477697\pi\) |
−0.120043 | + | 0.992769i | \(0.538303\pi\) | |||||||
\(654\) | 4.07304 | − | 11.9115i | 0.159268 | − | 0.465775i | ||||
\(655\) | −16.4149 | − | 3.16372i | −0.641384 | − | 0.123617i | ||||
\(656\) | 5.39317 | − | 6.22405i | 0.210568 | − | 0.243009i | ||||
\(657\) | 5.50722 | − | 12.3005i | 0.214857 | − | 0.479890i | ||||
\(658\) | −4.98804 | − | 10.9223i | −0.194454 | − | 0.425795i | ||||
\(659\) | −9.86025 | − | 5.08331i | −0.384101 | − | 0.198018i | 0.255352 | − | 0.966848i | \(-0.417809\pi\) |
−0.639453 | + | 0.768830i | \(0.720839\pi\) | |||||||
\(660\) | 18.5978 | + | 7.36526i | 0.723918 | + | 0.286693i | ||||
\(661\) | 18.8259 | + | 7.53675i | 0.732243 | + | 0.293146i | 0.707661 | − | 0.706552i | \(-0.249750\pi\) |
0.0245815 | + | 0.999698i | \(0.492175\pi\) | |||||||
\(662\) | −18.3270 | − | 25.7367i | −0.712300 | − | 1.00029i | ||||
\(663\) | 2.71702 | − | 11.3844i | 0.105520 | − | 0.442135i | ||||
\(664\) | −0.647635 | + | 13.5955i | −0.0251331 | + | 0.527609i | ||||
\(665\) | 4.73538 | + | 5.46492i | 0.183630 | + | 0.211920i | ||||
\(666\) | 12.2161 | + | 2.26031i | 0.473363 | + | 0.0875851i | ||||
\(667\) | 11.1370 | + | 8.45840i | 0.431225 | + | 0.327510i | ||||
\(668\) | 1.08119 | + | 1.87267i | 0.0418324 | + | 0.0724559i | ||||
\(669\) | 14.9272 | − | 1.48144i | 0.577118 | − | 0.0572757i | ||||
\(670\) | −48.3347 | + | 24.9183i | −1.86733 | + | 0.962676i | ||||
\(671\) | −16.9244 | − | 13.3095i | −0.653360 | − | 0.513808i | ||||
\(672\) | 2.84124 | − | 0.0105715i | 0.109603 | − | 0.000407804i | ||||
\(673\) | −1.51038 | + | 1.18777i | −0.0582207 | + | 0.0457853i | −0.646845 | − | 0.762621i | \(-0.723912\pi\) |
0.588625 | + | 0.808407i | \(0.299670\pi\) | |||||||
\(674\) | −14.8846 | − | 4.37052i | −0.573334 | − | 0.168346i | ||||
\(675\) | −44.3430 | − | 41.3459i | −1.70676 | − | 1.59140i | ||||
\(676\) | −4.93070 | − | 10.7967i | −0.189642 | − | 0.415259i | ||||
\(677\) | −16.2353 | − | 15.4803i | −0.623973 | − | 0.594957i | 0.310682 | − | 0.950514i | \(-0.399443\pi\) |
−0.934655 | + | 0.355557i | \(0.884291\pi\) | |||||||
\(678\) | −23.4610 | − | 6.79406i | −0.901014 | − | 0.260924i | ||||
\(679\) | 0.399084 | + | 1.15308i | 0.0153155 | + | 0.0442511i | ||||
\(680\) | 6.11675 | − | 25.2136i | 0.234567 | − | 0.966897i | ||||
\(681\) | 35.9942 | + | 6.79851i | 1.37930 | + | 0.260519i | ||||
\(682\) | −25.1975 | − | 12.9902i | −0.964863 | − | 0.497421i | ||||
\(683\) | −18.5315 | − | 5.44133i | −0.709087 | − | 0.208207i | −0.0927500 | − | 0.995689i | \(-0.529566\pi\) |
−0.616337 | + | 0.787483i | \(0.711384\pi\) | |||||||
\(684\) | −2.86798 | + | 1.50567i | −0.109660 | + | 0.0575706i | ||||
\(685\) | −14.4436 | + | 31.6272i | −0.551863 | + | 1.20841i | ||||
\(686\) | 17.2226 | − | 6.89487i | 0.657560 | − | 0.263247i | ||||
\(687\) | −19.0206 | − | 14.8438i | −0.725682 | − | 0.566325i | ||||
\(688\) | −4.86706 | + | 0.938048i | −0.185555 | + | 0.0357627i | ||||
\(689\) | −1.41376 | + | 2.44870i | −0.0538599 | + | 0.0932881i | ||||
\(690\) | −31.2177 | + | 13.2492i | −1.18844 | + | 0.504387i | ||||
\(691\) | 7.34130 | + | 12.7155i | 0.279276 | + | 0.483721i | 0.971205 | − | 0.238245i | \(-0.0765722\pi\) |
−0.691929 | + | 0.721966i | \(0.743239\pi\) | |||||||
\(692\) | 3.58618 | + | 4.13868i | 0.136326 | + | 0.157329i | ||||
\(693\) | 3.18122 | − | 13.5525i | 0.120844 | − | 0.514819i | ||||
\(694\) | 3.96735 | − | 27.5935i | 0.150598 | − | 1.04744i | ||||
\(695\) | 41.7818 | − | 3.98968i | 1.58488 | − | 0.151337i | ||||
\(696\) | 4.49786 | + | 2.29766i | 0.170491 | + | 0.0870928i | ||||
\(697\) | −37.8780 | + | 36.1166i | −1.43473 | + | 1.36801i | ||||
\(698\) | 0.782090 | + | 16.4181i | 0.0296025 | + | 0.621434i | ||||
\(699\) | −21.2528 | + | 24.7122i | −0.803855 | + | 0.934703i | ||||
\(700\) | 13.8523 | + | 13.2081i | 0.523568 | + | 0.499221i | ||||
\(701\) | −10.0006 | + | 11.5414i | −0.377719 | + | 0.435911i | −0.912498 | − | 0.409081i | \(-0.865849\pi\) |
0.534779 | + | 0.844992i | \(0.320395\pi\) | |||||||
\(702\) | −4.61448 | + | 3.03886i | −0.174162 | + | 0.114694i | ||||
\(703\) | 4.29020 | − | 1.25972i | 0.161808 | − | 0.0475111i | ||||
\(704\) | 1.64084 | − | 2.30424i | 0.0618416 | − | 0.0868444i | ||||
\(705\) | 43.6476 | + | 27.8217i | 1.64387 | + | 1.04783i | ||||
\(706\) | 20.4226 | − | 19.4729i | 0.768614 | − | 0.732872i | ||||
\(707\) | −19.7755 | − | 7.91691i | −0.743734 | − | 0.297746i | ||||
\(708\) | −4.52007 | − | 7.76214i | −0.169875 | − | 0.291719i | ||||
\(709\) | −22.9263 | + | 9.17832i | −0.861017 | + | 0.344699i | −0.759793 | − | 0.650165i | \(-0.774700\pi\) |
−0.101223 | + | 0.994864i | \(0.532276\pi\) | |||||||
\(710\) | 18.9510 | + | 12.1791i | 0.711220 | + | 0.457073i | ||||
\(711\) | 5.61739 | + | 9.56453i | 0.210669 | + | 0.358698i | ||||
\(712\) | −12.1500 | −0.455340 | ||||||||
\(713\) | 45.8806 | − | 14.3159i | 1.71824 | − | 0.536134i | ||||
\(714\) | −17.9805 | − | 1.64945i | −0.672905 | − | 0.0617290i | ||||
\(715\) | 12.0583 | − | 2.32404i | 0.450954 | − | 0.0869143i | ||||
\(716\) | 15.1263 | − | 7.79813i | 0.565295 | − | 0.291430i | ||||
\(717\) | −9.70739 | + | 40.6744i | −0.362529 | + | 1.51901i | ||||
\(718\) | −17.6511 | + | 1.68548i | −0.658734 | + | 0.0629015i | ||||
\(719\) | 1.69715 | + | 11.8039i | 0.0632930 | + | 0.440213i | 0.996685 | + | 0.0813548i | \(0.0259247\pi\) |
−0.933392 | + | 0.358858i | \(0.883166\pi\) | |||||||
\(720\) | −10.2540 | + | 6.69821i | −0.382145 | + | 0.249627i | ||||
\(721\) | 1.11901 | − | 0.719147i | 0.0416743 | − | 0.0267824i | ||||
\(722\) | 10.3448 | − | 14.5273i | 0.384995 | − | 0.540650i | ||||
\(723\) | −5.87685 | + | 17.1867i | −0.218563 | + | 0.639180i | ||||
\(724\) | 1.59637 | + | 4.61240i | 0.0593285 | + | 0.171418i | ||||
\(725\) | 11.1282 | + | 32.1529i | 0.413292 | + | 1.19413i | ||||
\(726\) | 3.41518 | + | 3.91182i | 0.126749 | + | 0.145181i | ||||
\(727\) | 12.7364 | − | 17.8858i | 0.472369 | − | 0.663349i | −0.507809 | − | 0.861470i | \(-0.669544\pi\) |
0.980178 | + | 0.198121i | \(0.0634838\pi\) | |||||||
\(728\) | 1.46739 | − | 0.943033i | 0.0543850 | − | 0.0349511i | ||||
\(729\) | −18.1323 | − | 20.0055i | −0.671568 | − | 0.740943i | ||||
\(730\) | −2.61016 | − | 18.1540i | −0.0966062 | − | 0.671911i | ||||
\(731\) | 31.3565 | − | 2.99418i | 1.15976 | − | 0.110744i | ||||
\(732\) | 12.6354 | − | 3.76122i | 0.467019 | − | 0.139019i | ||||
\(733\) | −4.57787 | + | 2.36006i | −0.169087 | + | 0.0871706i | −0.540693 | − | 0.841220i | \(-0.681838\pi\) |
0.371605 | + | 0.928391i | \(0.378807\pi\) | |||||||
\(734\) | 13.4184 | − | 2.58618i | 0.495281 | − | 0.0954575i | ||||
\(735\) | −17.5824 | + | 24.8865i | −0.648538 | + | 0.917953i | ||||
\(736\) | 0.762417 | + | 4.73484i | 0.0281031 | + | 0.174529i | ||||
\(737\) | 37.6785 | 1.38790 | ||||||||
\(738\) | 24.7061 | − | 0.183852i | 0.909445 | − | 0.00676770i | ||||
\(739\) | −0.360891 | − | 0.231931i | −0.0132756 | − | 0.00853170i | 0.533986 | − | 0.845493i | \(-0.320693\pi\) |
−0.547262 | + | 0.836961i | \(0.684330\pi\) | |||||||
\(740\) | 15.6957 | − | 6.28361i | 0.576986 | − | 0.230990i | ||||
\(741\) | −0.987878 | + | 1.72585i | −0.0362906 | + | 0.0634008i | ||||
\(742\) | 4.04955 | + | 1.62120i | 0.148664 | + | 0.0595160i | ||||
\(743\) | 14.8902 | − | 14.1978i | 0.546268 | − | 0.520866i | −0.365915 | − | 0.930648i | \(-0.619244\pi\) |
0.912183 | + | 0.409783i | \(0.134395\pi\) | |||||||
\(744\) | 15.3987 | − | 8.01126i | 0.564545 | − | 0.293707i | ||||
\(745\) | 14.6884 | − | 20.6269i | 0.538141 | − | 0.755713i | ||||
\(746\) | 22.9972 | − | 6.75258i | 0.841986 | − | 0.247229i | ||||
\(747\) | −31.9081 | + | 25.4794i | −1.16746 | + | 0.932241i | ||||
\(748\) | −11.7722 | + | 13.5858i | −0.430434 | + | 0.496748i | ||||
\(749\) | 19.5354 | + | 18.6270i | 0.713808 | + | 0.680615i | ||||
\(750\) | −46.3318 | − | 8.75106i | −1.69180 | − | 0.319544i | ||||
\(751\) | 0.809107 | + | 16.9852i | 0.0295247 | + | 0.619800i | 0.964340 | + | 0.264666i | \(0.0852618\pi\) |
−0.934815 | + | 0.355134i | \(0.884435\pi\) | |||||||
\(752\) | 5.29758 | − | 5.05123i | 0.193183 | − | 0.184199i | ||||
\(753\) | 12.8189 | − | 8.30575i | 0.467146 | − | 0.302678i | ||||
\(754\) | 3.08668 | − | 0.294742i | 0.112410 | − | 0.0107339i | ||||
\(755\) | 7.36591 | − | 51.2310i | 0.268073 | − | 1.86449i | ||||
\(756\) | 5.65344 | + | 6.37913i | 0.205614 | + | 0.232007i | ||||
\(757\) | 10.7427 | + | 12.3977i | 0.390450 | + | 0.450603i | 0.916610 | − | 0.399782i | \(-0.130914\pi\) |
−0.526160 | + | 0.850386i | \(0.676369\pi\) | |||||||
\(758\) | 1.43696 | + | 2.48888i | 0.0521927 | + | 0.0904003i | ||||
\(759\) | 23.4321 | + | 1.75190i | 0.850530 | + | 0.0635901i | ||||
\(760\) | −2.20407 | + | 3.81757i | −0.0799501 | + | 0.138478i | ||||
\(761\) | −29.7850 | + | 5.74059i | −1.07971 | + | 0.208096i | −0.697935 | − | 0.716161i | \(-0.745898\pi\) |
−0.381770 | + | 0.924257i | \(0.624685\pi\) | |||||||
\(762\) | −19.3073 | + | 7.81296i | −0.699430 | + | 0.283034i | ||||
\(763\) | −11.0684 | + | 4.43114i | −0.400705 | + | 0.160418i | ||||
\(764\) | −4.16594 | + | 9.12213i | −0.150718 | + | 0.330027i | ||||
\(765\) | 68.9150 | − | 36.1798i | 2.49163 | − | 1.30808i | ||||
\(766\) | 21.8156 | + | 6.40564i | 0.788230 | + | 0.231445i | ||||
\(767\) | −4.90136 | − | 2.52683i | −0.176978 | − | 0.0912385i | ||||
\(768\) | 0.572584 | + | 1.63467i | 0.0206614 | + | 0.0589861i | ||||
\(769\) | −10.7079 | + | 44.1384i | −0.386135 | + | 1.59167i | 0.364664 | + | 0.931139i | \(0.381184\pi\) |
−0.750799 | + | 0.660531i | \(0.770331\pi\) | |||||||
\(770\) | −6.19619 | − | 17.9027i | −0.223295 | − | 0.645169i | ||||
\(771\) | −20.5584 | + | 19.7489i | −0.740392 | + | 0.711240i | ||||
\(772\) | −14.6490 | − | 13.9678i | −0.527230 | − | 0.502712i | ||||
\(773\) | 20.1913 | + | 44.2128i | 0.726231 | + | 1.59022i | 0.804960 | + | 0.593329i | \(0.202187\pi\) |
−0.0787289 | + | 0.996896i | \(0.525086\pi\) | |||||||
\(774\) | −11.7566 | − | 9.10472i | −0.422582 | − | 0.327262i | ||||
\(775\) | 112.195 | + | 32.9435i | 4.03017 | + | 1.18337i | ||||
\(776\) | −0.584694 | + | 0.459809i | −0.0209893 | + | 0.0165062i | ||||
\(777\) | −5.92090 | − | 10.1677i | −0.212411 | − | 0.364766i | ||||
\(778\) | −13.5437 | − | 10.6509i | −0.485565 | − | 0.381853i | ||||
\(779\) | 7.90373 | − | 4.07466i | 0.283181 | − | 0.145990i | ||||
\(780\) | −3.09810 | + | 6.85124i | −0.110930 | + | 0.245314i | ||||
\(781\) | −7.80427 | − | 13.5174i | −0.279259 | − | 0.483690i | ||||
\(782\) | −1.96298 | − | 30.4140i | −0.0701960 | − | 1.08760i | ||||
\(783\) | 3.73641 | + | 14.6843i | 0.133528 | + | 0.524775i | ||||
\(784\) | 2.82185 | + | 3.25659i | 0.100780 | + | 0.116307i | ||||
\(785\) | 4.33732 | − | 91.0515i | 0.154806 | − | 3.24977i | ||||
\(786\) | −6.79740 | + | 2.02340i | −0.242455 | + | 0.0721723i | ||||
\(787\) | 4.67990 | + | 6.57200i | 0.166820 | + | 0.234266i | 0.889520 | − | 0.456895i | \(-0.151039\pi\) |
−0.722700 | + | 0.691162i | \(0.757099\pi\) | |||||||
\(788\) | 18.6805 | + | 7.47855i | 0.665466 | + | 0.266412i | ||||
\(789\) | −4.37935 | + | 3.47041i | −0.155909 | + | 0.123550i | ||||
\(790\) | 13.4170 | + | 6.91695i | 0.477356 | + | 0.246094i | ||||
\(791\) | 9.60959 | + | 21.0421i | 0.341678 | + | 0.748170i | ||||
\(792\) | 8.44163 | − | 0.869514i | 0.299960 | − | 0.0308968i | ||||
\(793\) | 5.30008 | − | 6.11662i | 0.188211 | − | 0.217208i | ||||
\(794\) | −21.8598 | − | 4.21313i | −0.775776 | − | 0.149519i | ||||
\(795\) | −18.4503 | + | 3.62726i | −0.654365 | + | 0.128646i | ||||
\(796\) | 0.303487 | + | 0.0289795i | 0.0107568 | + | 0.00102715i | ||||
\(797\) | −0.136435 | − | 2.86413i | −0.00483279 | − | 0.101453i | −0.999995 | − | 0.00320585i | \(-0.998980\pi\) |
0.995162 | − | 0.0982469i | \(-0.0313235\pi\) | |||||||
\(798\) | 2.85226 | + | 1.12958i | 0.100969 | + | 0.0399866i | ||||
\(799\) | −36.5647 | + | 28.7548i | −1.29357 | + | 1.01727i | ||||
\(800\) | −4.84703 | + | 10.6135i | −0.171368 | + | 0.375244i | ||||
\(801\) | −24.0740 | − | 27.3687i | −0.850613 | − | 0.967025i | ||||
\(802\) | 1.31365 | + | 0.844230i | 0.0463865 | + | 0.0298108i | ||||
\(803\) | −4.15633 | + | 12.0089i | −0.146674 | + | 0.423786i | ||||
\(804\) | −13.3122 | + | 18.8424i | −0.469485 | + | 0.664518i | ||||
\(805\) | 28.7920 | + | 14.2343i | 1.01478 | + | 0.501695i | ||||
\(806\) | 5.32817 | − | 9.22866i | 0.187677 | − | 0.325066i | ||||
\(807\) | −18.6886 | + | 41.3285i | −0.657869 | + | 1.45483i | ||||
\(808\) | 0.617873 | − | 12.9708i | 0.0217367 | − | 0.456309i | ||||
\(809\) | −5.63727 | + | 39.2081i | −0.198196 | + | 1.37848i | 0.611319 | + | 0.791384i | \(0.290639\pi\) |
−0.809515 | + | 0.587099i | \(0.800270\pi\) | |||||||
\(810\) | −35.4055 | − | 9.82607i | −1.24402 | − | 0.345253i | ||||
\(811\) | −5.84930 | − | 40.6827i | −0.205397 | − | 1.42856i | −0.787934 | − | 0.615760i | \(-0.788849\pi\) |
0.582537 | − | 0.812804i | \(-0.302060\pi\) | |||||||
\(812\) | −1.12775 | − | 4.64865i | −0.0395762 | − | 0.163135i | ||||
\(813\) | −3.32400 | − | 2.11877i | −0.116578 | − | 0.0743086i | ||||
\(814\) | −11.6613 | − | 1.11352i | −0.408727 | − | 0.0390287i | ||||
\(815\) | −0.453454 | + | 1.86916i | −0.0158838 | + | 0.0654739i | ||||
\(816\) | −2.63480 | − | 10.6871i | −0.0922366 | − | 0.374123i | ||||
\(817\) | −5.25511 | − | 1.01284i | −0.183853 | − | 0.0354348i | ||||
\(818\) | 7.56197 | − | 2.22040i | 0.264398 | − | 0.0776343i | ||||
\(819\) | 5.03172 | + | 1.43686i | 0.175823 | + | 0.0502081i | ||||
\(820\) | 28.2854 | − | 18.1780i | 0.987771 | − | 0.634802i | ||||
\(821\) | 1.66886 | + | 6.87914i | 0.0582436 | + | 0.240084i | 0.993491 | − | 0.113912i | \(-0.0363381\pi\) |
−0.935247 | + | 0.353995i | \(0.884823\pi\) | |||||||
\(822\) | 0.756686 | + | 14.7313i | 0.0263925 | + | 0.513815i | ||||
\(823\) | −30.8114 | − | 43.2686i | −1.07402 | − | 1.50825i | −0.844955 | − | 0.534837i | \(-0.820373\pi\) |
−0.229064 | − | 0.973411i | \(-0.573566\pi\) | |||||||
\(824\) | 0.637398 | + | 0.501256i | 0.0222048 | + | 0.0174621i | ||||
\(825\) | 45.0680 | + | 35.1713i | 1.56907 | + | 1.22451i | ||||
\(826\) | −2.78237 | + | 8.03914i | −0.0968111 | + | 0.279717i | ||||
\(827\) | 26.6043 | 0.925123 | 0.462562 | − | 0.886587i | \(-0.346930\pi\) | ||||
0.462562 | + | 0.886587i | \(0.346930\pi\) | |||||||
\(828\) | −9.15489 | + | 11.0990i | −0.318155 | + | 0.385717i | ||||
\(829\) | −23.3926 | −0.812460 | −0.406230 | − | 0.913771i | \(-0.633157\pi\) | ||||
−0.406230 | + | 0.913771i | \(0.633157\pi\) | |||||||
\(830\) | −18.1747 | + | 52.5124i | −0.630853 | + | 1.82273i | ||||
\(831\) | 44.8500 | − | 18.1491i | 1.55583 | − | 0.629586i | ||||
\(832\) | 0.835834 | + | 0.657307i | 0.0289773 | + | 0.0227880i | ||||
\(833\) | −15.8843 | − | 22.3064i | −0.550358 | − | 0.772870i | ||||
\(834\) | 14.9439 | − | 9.68259i | 0.517463 | − | 0.335281i | ||||
\(835\) | 2.08133 | + | 8.57934i | 0.0720273 | + | 0.296900i | ||||
\(836\) | 2.56944 | − | 1.65128i | 0.0888660 | − | 0.0571107i | ||||
\(837\) | 48.5569 | + | 18.8132i | 1.67837 | + | 0.650278i | ||||
\(838\) | −20.9144 | + | 6.14101i | −0.722474 | + | 0.212138i | ||||
\(839\) | 33.0921 | + | 6.37798i | 1.14247 | + | 0.220192i | 0.725165 | − | 0.688575i | \(-0.241764\pi\) |
0.417302 | + | 0.908768i | \(0.362976\pi\) | |||||||
\(840\) | 11.1420 | + | 3.22661i | 0.384436 | + | 0.111329i | ||||
\(841\) | −4.83227 | + | 19.9189i | −0.166630 | + | 0.686859i | ||||
\(842\) | −17.7925 | − | 1.69898i | −0.613172 | − | 0.0585508i | ||||
\(843\) | 1.05567 | − | 24.0431i | 0.0363592 | − | 0.828089i | ||||
\(844\) | −0.898832 | − | 3.70504i | −0.0309391 | − | 0.127533i | ||||
\(845\) | −6.89631 | − | 47.9649i | −0.237240 | − | 1.65004i | ||||
\(846\) | 21.8749 | + | 1.92464i | 0.752073 | + | 0.0661706i | ||||
\(847\) | 0.699916 | − | 4.86802i | 0.0240494 | − | 0.167267i | ||||
\(848\) | −0.126526 | + | 2.65610i | −0.00434492 | + | 0.0912110i | ||||
\(849\) | −18.3381 | − | 25.5505i | −0.629362 | − | 0.876891i | ||||
\(850\) | 37.0745 | − | 64.2149i | 1.27164 | − | 2.20255i | ||||
\(851\) | 15.4021 | − | 12.5381i | 0.527977 | − | 0.429801i | ||||
\(852\) | 9.51714 | + | 0.873055i | 0.326052 | + | 0.0299104i | ||||
\(853\) | −5.27140 | + | 15.2307i | −0.180489 | + | 0.521490i | −0.998561 | − | 0.0536266i | \(-0.982922\pi\) |
0.818072 | + | 0.575116i | \(0.195043\pi\) | |||||||
\(854\) | −10.5037 | − | 6.75032i | −0.359429 | − | 0.230991i | ||||
\(855\) | −12.9665 | + | 2.59930i | −0.443444 | + | 0.0888942i | ||||
\(856\) | −6.83559 | + | 14.9679i | −0.233636 | + | 0.511591i | ||||
\(857\) | 0.194981 | − | 0.153335i | 0.00666042 | − | 0.00523782i | −0.614823 | − | 0.788665i | \(-0.710773\pi\) |
0.621484 | + | 0.783427i | \(0.286530\pi\) | |||||||
\(858\) | 4.08321 | − | 3.23573i | 0.139398 | − | 0.110466i | ||||
\(859\) | 1.42014 | + | 29.8123i | 0.0484544 | + | 1.01718i | 0.883919 | + | 0.467639i | \(0.154895\pi\) |
−0.835465 | + | 0.549544i | \(0.814802\pi\) | |||||||
\(860\) | −20.1445 | − | 1.92356i | −0.686921 | − | 0.0655930i | ||||
\(861\) | −15.3891 | − | 17.6270i | −0.524458 | − | 0.600726i | ||||
\(862\) | 17.6224 | + | 3.39645i | 0.600223 | + | 0.115683i | ||||
\(863\) | −20.6330 | + | 23.8117i | −0.702354 | + | 0.810560i | −0.989069 | − | 0.147456i | \(-0.952891\pi\) |
0.286715 | + | 0.958016i | \(0.407437\pi\) | |||||||
\(864\) | −2.54769 | + | 4.52872i | −0.0866740 | + | 0.154070i | ||||
\(865\) | 9.28766 | + | 20.3371i | 0.315790 | + | 0.691484i | ||||
\(866\) | −18.9770 | − | 9.78330i | −0.644863 | − | 0.332450i | ||||
\(867\) | 5.91355 | + | 40.0707i | 0.200835 | + | 1.36087i | ||||
\(868\) | −15.2619 | − | 6.10996i | −0.518024 | − | 0.207385i | ||||
\(869\) | −6.06682 | − | 8.51965i | −0.205803 | − | 0.289009i | ||||
\(870\) | 14.9765 | + | 14.1740i | 0.507750 | + | 0.480545i | ||||
\(871\) | −0.673918 | + | 14.1473i | −0.0228348 | + | 0.479362i | ||||
\(872\) | −4.75955 | − | 5.49281i | −0.161179 | − | 0.186010i | ||||
\(873\) | −2.19426 | − | 0.405998i | −0.0742645 | − | 0.0137410i | ||||
\(874\) | −1.13583 | + | 5.05210i | −0.0384201 | + | 0.170890i | ||||
\(875\) | 22.3280 | + | 38.6733i | 0.754825 | + | 1.30740i | ||||
\(876\) | −4.53698 | − | 6.32139i | −0.153290 | − | 0.213580i | ||||
\(877\) | 45.0735 | − | 23.2370i | 1.52202 | − | 0.784658i | 0.524264 | − | 0.851556i | \(-0.324341\pi\) |
0.997760 | + | 0.0668985i | \(0.0213104\pi\) | |||||||
\(878\) | 9.20973 | + | 7.24261i | 0.310813 | + | 0.244426i | ||||
\(879\) | 28.4760 | − | 49.7484i | 0.960472 | − | 1.67797i | ||||
\(880\) | 9.07798 | − | 7.13900i | 0.306019 | − | 0.240656i | ||||
\(881\) | 1.70157 | + | 0.499626i | 0.0573273 | + | 0.0168328i | 0.310270 | − | 0.950648i | \(-0.399580\pi\) |
−0.252943 | + | 0.967481i | \(0.581399\pi\) | |||||||
\(882\) | −1.74447 | + | 12.8090i | −0.0587395 | + | 0.431302i | ||||
\(883\) | 13.7682 | + | 30.1482i | 0.463338 | + | 1.01457i | 0.986714 | + | 0.162467i | \(0.0519452\pi\) |
−0.523376 | + | 0.852102i | \(0.675328\pi\) | |||||||
\(884\) | −4.89057 | − | 4.66315i | −0.164488 | − | 0.156839i | ||||
\(885\) | −8.77817 | − | 35.6054i | −0.295075 | − | 1.19686i | ||||
\(886\) | 12.5036 | + | 36.1268i | 0.420067 | + | 1.21370i | ||||
\(887\) | −10.9244 | + | 45.0310i | −0.366806 | + | 1.51199i | 0.427242 | + | 0.904137i | \(0.359485\pi\) |
−0.794047 | + | 0.607856i | \(0.792030\pi\) | |||||||
\(888\) | 4.67690 | − | 5.43818i | 0.156946 | − | 0.182493i | ||||
\(889\) | 17.5333 | + | 9.03903i | 0.588047 | + | 0.303159i | ||||
\(890\) | −47.5947 | − | 13.9751i | −1.59538 | − | 0.468445i | ||||
\(891\) | 18.6849 | + | 17.2925i | 0.625967 | + | 0.579320i | ||||
\(892\) | 3.59772 | − | 7.87791i | 0.120461 | − | 0.263772i | ||||
\(893\) | 7.33726 | − | 2.93740i | 0.245532 | − | 0.0982962i | ||||
\(894\) | 1.48931 | − | 10.6392i | 0.0498098 | − | 0.355828i | ||||
\(895\) | 68.2230 | − | 13.1489i | 2.28044 | − | 0.439520i | ||||
\(896\) | 0.820200 | − | 1.42063i | 0.0274010 | − | 0.0474599i | ||||
\(897\) | −1.07690 | + | 8.76679i | −0.0359566 | + | 0.292715i | ||||
\(898\) | −7.43442 | − | 12.8768i | −0.248090 | − | 0.429704i | ||||
\(899\) | −19.1374 | − | 22.0858i | −0.638268 | − | 0.736601i | ||||
\(900\) | −33.5115 | + | 10.1113i | −1.11705 | + | 0.337045i | ||||
\(901\) | 2.40491 | − | 16.7265i | 0.0801193 | − | 0.557242i | ||||
\(902\) | −23.1911 | + | 2.21448i | −0.772179 | + | 0.0737341i | ||||
\(903\) | 0.722434 | + | 14.0645i | 0.0240411 | + | 0.468038i | ||||
\(904\) | −10.2059 | + | 9.73132i | −0.339444 | + | 0.323659i | ||||
\(905\) | 0.948151 | + | 19.9041i | 0.0315176 | + | 0.661636i | ||||
\(906\) | −7.25897 | − | 20.7236i | −0.241163 | − | 0.688496i | ||||
\(907\) | −5.29092 | − | 5.04488i | −0.175682 | − | 0.167513i | 0.597136 | − | 0.802140i | \(-0.296305\pi\) |
−0.772818 | + | 0.634627i | \(0.781154\pi\) | |||||||
\(908\) | 13.8494 | − | 15.9831i | 0.459610 | − | 0.530418i | ||||
\(909\) | 30.4417 | − | 24.3084i | 1.00969 | − | 0.806260i | ||||
\(910\) | 6.83283 | − | 2.00630i | 0.226506 | − | 0.0665081i | ||||
\(911\) | 12.1491 | − | 17.0611i | 0.402519 | − | 0.565259i | −0.562713 | − | 0.826652i | \(-0.690242\pi\) |
0.965232 | + | 0.261393i | \(0.0841819\pi\) | |||||||
\(912\) | −0.0820342 | + | 1.86835i | −0.00271642 | + | 0.0618672i | ||||
\(913\) | 27.8653 | − | 26.5695i | 0.922208 | − | 0.879324i | ||||
\(914\) | 25.7768 | + | 10.3195i | 0.852619 | + | 0.341337i | ||||
\(915\) | 53.8225 | − | 0.200259i | 1.77932 | − | 0.00662036i | ||||
\(916\) | −12.9320 | + | 5.17720i | −0.427286 | + | 0.171059i | ||||
\(917\) | 5.65061 | + | 3.63142i | 0.186599 | + | 0.119920i | ||||
\(918\) | 18.8528 | − | 27.1105i | 0.622235 | − | 0.894779i | ||||
\(919\) | −34.0030 | −1.12166 | −0.560828 | − | 0.827932i | \(-0.689517\pi\) | ||||
−0.560828 | + | 0.827932i | \(0.689517\pi\) | |||||||
\(920\) | −2.45948 | + | 19.4245i | −0.0810867 | + | 0.640408i | ||||
\(921\) | −1.93125 | − | 4.18755i | −0.0636369 | − | 0.137984i | ||||
\(922\) | 16.6526 | − | 3.20953i | 0.548425 | − | 0.105700i | ||||
\(923\) | 5.21501 | − | 2.68852i | 0.171654 | − | 0.0884938i | ||||
\(924\) | −5.83742 | − | 5.52465i | −0.192037 | − | 0.181748i | ||||
\(925\) | 48.0997 | − | 4.59296i | 1.58151 | − | 0.151016i | ||||
\(926\) | −0.480131 | − | 3.33938i | −0.0157781 | − | 0.109739i | ||||
\(927\) | 0.133829 | + | 2.42897i | 0.00439552 | + | 0.0797779i | ||||
\(928\) | 2.45314 | − | 1.57653i | 0.0805281 | − | 0.0517523i | ||||
\(929\) | 18.2721 | − | 25.6595i | 0.599487 | − | 0.841861i | −0.397645 | − | 0.917539i | \(-0.630173\pi\) |
0.997132 | + | 0.0756776i | \(0.0241120\pi\) | |||||||
\(930\) | 69.5355 | − | 13.6704i | 2.28016 | − | 0.448270i | ||||
\(931\) | 1.52173 | + | 4.39676i | 0.0498728 | + | 0.144098i | ||||
\(932\) | 6.15484 | + | 17.7832i | 0.201608 | + | 0.582510i | ||||
\(933\) | −23.5110 | + | 4.62216i | −0.769714 | + | 0.151323i | ||||
\(934\) | 16.7836 | − | 23.5693i | 0.549177 | − | 0.771211i | ||||
\(935\) | −61.7414 | + | 39.6788i | −2.01916 | + | 1.29763i | ||||
\(936\) | 0.175493 | + | 3.18516i | 0.00573616 | + | 0.104110i | ||||
\(937\) | −8.11563 | − | 56.4454i | −0.265126 | − | 1.84399i | −0.492660 | − | 0.870222i | \(-0.663975\pi\) |
0.227533 | − | 0.973770i | \(-0.426934\pi\) | |||||||
\(938\) | 21.7508 | − | 2.07695i | 0.710189 | − | 0.0678149i | ||||
\(939\) | −6.01825 | − | 5.69579i | −0.196398 | − | 0.185875i | ||||
\(940\) | 26.5620 | − | 13.6936i | 0.866356 | − | 0.446638i | ||||
\(941\) | 1.08484 | − | 0.209086i | 0.0353648 | − | 0.00681600i | −0.171538 | − | 0.985177i | \(-0.554874\pi\) |
0.206903 | + | 0.978361i | \(0.433662\pi\) | |||||||
\(942\) | −16.1958 | − | 35.1175i | −0.527688 | − | 1.14419i | ||||
\(943\) | 25.3581 | − | 30.2811i | 0.825772 | − | 0.986090i | ||||
\(944\) | −5.18594 | −0.168788 | ||||||||
\(945\) | 14.8086 | + | 31.4914i | 0.481725 | + | 1.02441i | ||||
\(946\) | 11.7953 | + | 7.58039i | 0.383499 | + | 0.246460i | ||||
\(947\) | −6.61062 | + | 2.64649i | −0.214816 | + | 0.0859994i | −0.476575 | − | 0.879134i | \(-0.658122\pi\) |
0.261759 | + | 0.965133i | \(0.415698\pi\) | |||||||
\(948\) | 6.40400 | − | 0.0238276i | 0.207992 | − | 0.000773884i | ||||
\(949\) | −4.43470 | − | 1.77538i | −0.143956 | − | 0.0576314i | ||||
\(950\) | −9.11775 | + | 8.69375i | −0.295819 | + | 0.282063i | ||||
\(951\) | −1.83208 | + | 41.7260i | −0.0594092 | + | 1.35306i | ||||
\(952\) | −6.04690 | + | 8.49168i | −0.195981 | + | 0.275217i | ||||
\(953\) | −51.4985 | + | 15.1213i | −1.66820 | + | 0.489828i | −0.973349 | − | 0.229327i | \(-0.926347\pi\) |
−0.694850 | + | 0.719155i | \(0.744529\pi\) | |||||||
\(954\) | −6.23375 | + | 4.97779i | −0.201825 | + | 0.161162i | ||||
\(955\) | −26.8114 | + | 30.9421i | −0.867598 | + | 1.00126i | ||||
\(956\) | 17.4730 | + | 16.6605i | 0.565118 | + | 0.538839i | ||||
\(957\) | −4.72314 | − | 13.4841i | −0.152677 | − | 0.435878i | ||||
\(958\) | 0.230969 | + | 4.84864i | 0.00746227 | + | 0.156652i | ||||
\(959\) | 10.1107 | − | 9.64057i | 0.326493 | − | 0.311310i | ||||
\(960\) | 0.362746 | + | 7.06202i | 0.0117076 | + | 0.227926i | ||||
\(961\) | −69.1193 | + | 6.60009i | −2.22965 | + | 0.212906i | ||||
\(962\) | 0.626669 | − | 4.35858i | 0.0202046 | − | 0.140526i | ||||
\(963\) | −47.2601 | + | 14.2597i | −1.52294 | + | 0.459511i | ||||
\(964\) | 6.86740 | + | 7.92540i | 0.221184 | + | 0.255260i | ||||
\(965\) | −41.3181 | − | 71.5650i | −1.33008 | − | 2.30376i | ||||
\(966\) | 13.6233 | − | 0.280318i | 0.438323 | − | 0.00901907i | ||||
\(967\) | 23.8865 | − | 41.3726i | 0.768137 | − | 1.33045i | −0.170435 | − | 0.985369i | \(-0.554517\pi\) |
0.938572 | − | 0.345083i | \(-0.112149\pi\) | |||||||
\(968\) | 2.94392 | − | 0.567394i | 0.0946212 | − | 0.0182367i | ||||
\(969\) | 1.64759 | − | 11.7699i | 0.0529281 | − | 0.378105i | ||||
\(970\) | −2.81928 | + | 1.12867i | −0.0905215 | + | 0.0362393i | ||||
\(971\) | −16.8923 | + | 36.9889i | −0.542098 | + | 1.18703i | 0.418277 | + | 0.908320i | \(0.362634\pi\) |
−0.960375 | + | 0.278710i | \(0.910093\pi\) | |||||||
\(972\) | −15.2492 | + | 3.23437i | −0.489119 | + | 0.103742i | ||||
\(973\) | −16.1812 | − | 4.75121i | −0.518744 | − | 0.152317i | ||||
\(974\) | 0.615741 | + | 0.317437i | 0.0197296 | + | 0.0101713i | ||||
\(975\) | −14.0120 | + | 16.2928i | −0.448742 | + | 0.521786i | ||||
\(976\) | 1.79446 | − | 7.39686i | 0.0574392 | − | 0.236768i | ||||
\(977\) | −14.0197 | − | 40.5072i | −0.448529 | − | 1.29594i | −0.912132 | − | 0.409897i | \(-0.865565\pi\) |
0.463602 | − | 0.886043i | \(-0.346557\pi\) | |||||||
\(978\) | 0.195326 | + | 0.792267i | 0.00624584 | + | 0.0253339i | ||||
\(979\) | 24.8743 | + | 23.7176i | 0.794988 | + | 0.758019i | ||||
\(980\) | 7.30816 | + | 16.0026i | 0.233451 | + | 0.511186i | ||||
\(981\) | 2.94236 | − | 21.6046i | 0.0939423 | − | 0.689783i | ||||
\(982\) | −9.68095 | − | 2.84258i | −0.308932 | − | 0.0907105i | ||||
\(983\) | −11.0189 | + | 8.66534i | −0.351448 | + | 0.276382i | −0.778238 | − | 0.627969i | \(-0.783887\pi\) |
0.426791 | + | 0.904350i | \(0.359644\pi\) | |||||||
\(984\) | 7.08623 | − | 12.3799i | 0.225901 | − | 0.394655i | ||||
\(985\) | 64.5745 | + | 50.7819i | 2.05751 | + | 1.61805i | ||||
\(986\) | −16.4713 | + | 8.49155i | −0.524553 | + | 0.270426i | ||||
\(987\) | −12.1266 | − | 16.8960i | −0.385994 | − | 0.537807i | ||||
\(988\) | 0.574055 | + | 0.994292i | 0.0182631 | + | 0.0316327i | ||||
\(989\) | −23.2625 | + | 4.89143i | −0.739703 | + | 0.155538i | ||||
\(990\) | 34.0682 | + | 6.30354i | 1.08276 | + | 0.200340i | ||||
\(991\) | −7.28780 | − | 8.41057i | −0.231505 | − | 0.267170i | 0.628097 | − | 0.778135i | \(-0.283834\pi\) |
−0.859602 | + | 0.510964i | \(0.829288\pi\) | |||||||
\(992\) | 0.476850 | − | 10.0103i | 0.0151400 | − | 0.317828i | ||||
\(993\) | −39.7462 | − | 37.6166i | −1.26131 | − | 1.19373i | ||||
\(994\) | −5.25032 | − | 7.37304i | −0.166530 | − | 0.233859i | ||||
\(995\) | 1.15551 | + | 0.462595i | 0.0366320 | + | 0.0146652i | ||||
\(996\) | 3.44185 | + | 23.3223i | 0.109059 | + | 0.738994i | ||||
\(997\) | 25.2017 | + | 12.9924i | 0.798146 | + | 0.411473i | 0.808517 | − | 0.588473i | \(-0.200271\pi\) |
−0.0103706 | + | 0.999946i | \(0.503301\pi\) | |||||||
\(998\) | 0.138247 | + | 0.302719i | 0.00437614 | + | 0.00958240i | ||||
\(999\) | 21.5167 | − | 0.240182i | 0.680757 | − | 0.00759903i |
(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 | 414.2.m.a.13.7 | ✓ | 240 | |
9.7 | even | 3 | inner | 414.2.m.a.151.2 | yes | 240 | |
23.16 | even | 11 | inner | 414.2.m.a.85.2 | yes | 240 | |
207.16 | even | 33 | inner | 414.2.m.a.223.7 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
414.2.m.a.13.7 | ✓ | 240 | 1.1 | even | 1 | trivial | |
414.2.m.a.85.2 | yes | 240 | 23.16 | even | 11 | inner | |
414.2.m.a.151.2 | yes | 240 | 9.7 | even | 3 | inner | |
414.2.m.a.223.7 | yes | 240 | 207.16 | even | 33 | inner |