Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [135,2,Mod(2,135)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(135, base_ring=CyclotomicField(36))
chi = DirichletCharacter(H, H._module([2, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("135.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 135 = 3^{3} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 135.q (of order \(36\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.07798042729\) |
Analytic rank: | \(0\) |
Dimension: | \(192\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{36})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{36}]$ |
Embedding invariants
Embedding label | 32.6 | ||
Character | \(\chi\) | \(=\) | 135.32 |
Dual form | 135.2.q.a.38.6 |
$q$-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 \(\left(\mathbb{Z}/135\mathbb{Z}\right)^\times\).
\(n\) | \(56\) | \(82\) |
\(\chi(n)\) | \(e\left(\frac{5}{18}\right)\) | \(e\left(\frac{1}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.0909691 | + | 1.03978i | −0.0643248 | + | 0.735236i | 0.893721 | + | 0.448622i | \(0.148085\pi\) |
−0.958046 | + | 0.286614i | \(0.907470\pi\) | |||||||
\(3\) | 1.49497 | − | 0.874685i | 0.863119 | − | 0.505000i | ||||
\(4\) | 0.896746 | + | 0.158121i | 0.448373 | + | 0.0790603i | ||||
\(5\) | −1.77681 | + | 1.35756i | −0.794612 | + | 0.607118i | ||||
\(6\) | 0.773485 | + | 1.63401i | 0.315774 | + | 0.667081i | ||||
\(7\) | 0.397456 | − | 0.567627i | 0.150224 | − | 0.214543i | −0.736986 | − | 0.675908i | \(-0.763751\pi\) |
0.887210 | + | 0.461366i | \(0.152640\pi\) | |||||||
\(8\) | −0.786273 | + | 2.93441i | −0.277990 | + | 1.03747i | ||||
\(9\) | 1.46985 | − | 2.61525i | 0.489950 | − | 0.871750i | ||||
\(10\) | −1.24993 | − | 1.97098i | −0.395262 | − | 0.623280i | ||||
\(11\) | 0.597632 | − | 1.64198i | 0.180193 | − | 0.495076i | −0.816406 | − | 0.577478i | \(-0.804037\pi\) |
0.996599 | + | 0.0824022i | \(0.0262592\pi\) | |||||||
\(12\) | 1.47891 | − | 0.547986i | 0.426925 | − | 0.158190i | ||||
\(13\) | −0.720360 | + | 0.0630233i | −0.199792 | + | 0.0174795i | −0.186612 | − | 0.982434i | \(-0.559751\pi\) |
−0.0131795 | + | 0.999913i | \(0.504195\pi\) | |||||||
\(14\) | 0.554051 | + | 0.464904i | 0.148076 | + | 0.124251i | ||||
\(15\) | −1.46883 | + | 3.58365i | −0.379250 | + | 0.925294i | ||||
\(16\) | −1.26829 | − | 0.461619i | −0.317072 | − | 0.115405i | ||||
\(17\) | −0.792096 | − | 2.95614i | −0.192112 | − | 0.716970i | −0.992996 | − | 0.118151i | \(-0.962303\pi\) |
0.800884 | − | 0.598819i | \(-0.204363\pi\) | |||||||
\(18\) | 2.58558 | + | 1.76623i | 0.609426 | + | 0.416304i | ||||
\(19\) | −3.38781 | + | 1.95596i | −0.777218 | + | 0.448727i | −0.835443 | − | 0.549576i | \(-0.814789\pi\) |
0.0582254 | + | 0.998303i | \(0.481456\pi\) | |||||||
\(20\) | −1.80800 | + | 0.936435i | −0.404281 | + | 0.209393i | ||||
\(21\) | 0.0976895 | − | 1.19623i | 0.0213176 | − | 0.261039i | ||||
\(22\) | 1.65293 | + | 0.770776i | 0.352407 | + | 0.164330i | ||||
\(23\) | −6.61310 | + | 4.63055i | −1.37893 | + | 0.965535i | −0.379746 | + | 0.925091i | \(0.623989\pi\) |
−0.999182 | + | 0.0404446i | \(0.987123\pi\) | |||||||
\(24\) | 1.39123 | + | 5.07459i | 0.283985 | + | 1.03585i | ||||
\(25\) | 1.31408 | − | 4.82423i | 0.262816 | − | 0.964846i | ||||
\(26\) | − | 0.754750i | − | 0.148019i | ||||||
\(27\) | −0.0901428 | − | 5.19537i | −0.0173480 | − | 0.999850i | ||||
\(28\) | 0.446171 | − | 0.446171i | 0.0843184 | − | 0.0843184i | ||||
\(29\) | 5.68683 | − | 4.77181i | 1.05602 | − | 0.886103i | 0.0623035 | − | 0.998057i | \(-0.480155\pi\) |
0.993713 | + | 0.111954i | \(0.0357109\pi\) | |||||||
\(30\) | −3.59259 | − | 1.85326i | −0.655915 | − | 0.338358i | ||||
\(31\) | 0.764639 | − | 4.33648i | 0.137333 | − | 0.778855i | −0.835873 | − | 0.548922i | \(-0.815038\pi\) |
0.973207 | − | 0.229933i | \(-0.0738506\pi\) | |||||||
\(32\) | −1.97241 | + | 4.22984i | −0.348676 | + | 0.747738i | ||||
\(33\) | −0.542776 | − | 2.97745i | −0.0944852 | − | 0.518307i | ||||
\(34\) | 3.14580 | − | 0.554689i | 0.539500 | − | 0.0951284i | ||||
\(35\) | 0.0643826 | + | 1.54813i | 0.0108826 | + | 0.261682i | ||||
\(36\) | 1.73161 | − | 2.11280i | 0.288601 | − | 0.352134i | ||||
\(37\) | −10.6938 | + | 2.86540i | −1.75805 | + | 0.471069i | −0.986315 | − | 0.164870i | \(-0.947280\pi\) |
−0.771739 | + | 0.635939i | \(0.780613\pi\) | |||||||
\(38\) | −1.72558 | − | 3.70052i | −0.279926 | − | 0.600303i | ||||
\(39\) | −1.02179 | + | 0.724306i | −0.163617 | + | 0.115982i | ||||
\(40\) | −2.58658 | − | 6.28129i | −0.408974 | − | 0.993159i | ||||
\(41\) | 2.71443 | − | 3.23493i | 0.423923 | − | 0.505212i | −0.511236 | − | 0.859441i | \(-0.670812\pi\) |
0.935159 | + | 0.354229i | \(0.115257\pi\) | |||||||
\(42\) | 1.23493 | + | 0.210396i | 0.190554 | + | 0.0324648i | ||||
\(43\) | 5.87799 | − | 2.74095i | 0.896385 | − | 0.417991i | 0.0808685 | − | 0.996725i | \(-0.474231\pi\) |
0.815517 | + | 0.578733i | \(0.196453\pi\) | |||||||
\(44\) | 0.795555 | − | 1.37794i | 0.119934 | − | 0.207733i | ||||
\(45\) | 0.938712 | + | 6.64220i | 0.139935 | + | 0.990161i | ||||
\(46\) | −4.21317 | − | 7.29742i | −0.621197 | − | 1.07595i | ||||
\(47\) | −3.32527 | − | 2.32838i | −0.485040 | − | 0.339628i | 0.305342 | − | 0.952243i | \(-0.401229\pi\) |
−0.790382 | + | 0.612614i | \(0.790118\pi\) | |||||||
\(48\) | −2.29982 | + | 0.419248i | −0.331950 | + | 0.0605132i | ||||
\(49\) | 2.22991 | + | 6.12663i | 0.318559 | + | 0.875234i | ||||
\(50\) | 4.89660 | + | 1.80521i | 0.692484 | + | 0.255295i | ||||
\(51\) | −3.76985 | − | 3.72650i | −0.527885 | − | 0.521815i | ||||
\(52\) | −0.655945 | − | 0.0573878i | −0.0909632 | − | 0.00795825i | ||||
\(53\) | 5.90884 | + | 5.90884i | 0.811642 | + | 0.811642i | 0.984880 | − | 0.173238i | \(-0.0554230\pi\) |
−0.173238 | + | 0.984880i | \(0.555423\pi\) | |||||||
\(54\) | 5.41025 | + | 0.378889i | 0.736241 | + | 0.0515603i | ||||
\(55\) | 1.16721 | + | 3.72880i | 0.157386 | + | 0.502791i | ||||
\(56\) | 1.35314 | + | 1.61261i | 0.180821 | + | 0.215494i | ||||
\(57\) | −3.35382 | + | 5.88736i | −0.444225 | + | 0.779800i | ||||
\(58\) | 4.44432 | + | 6.34714i | 0.583567 | + | 0.833420i | ||||
\(59\) | −2.63750 | + | 0.959971i | −0.343373 | + | 0.124978i | −0.507950 | − | 0.861387i | \(-0.669596\pi\) |
0.164577 | + | 0.986364i | \(0.447374\pi\) | |||||||
\(60\) | −1.88382 | + | 2.98137i | −0.243200 | + | 0.384893i | ||||
\(61\) | 1.13591 | + | 6.44205i | 0.145438 | + | 0.824820i | 0.967014 | + | 0.254722i | \(0.0819838\pi\) |
−0.821576 | + | 0.570098i | \(0.806905\pi\) | |||||||
\(62\) | 4.43943 | + | 1.18954i | 0.563808 | + | 0.151072i | ||||
\(63\) | −0.900284 | − | 1.87378i | −0.113425 | − | 0.236073i | ||||
\(64\) | −6.55640 | − | 3.78534i | −0.819551 | − | 0.473168i | ||||
\(65\) | 1.19438 | − | 1.08991i | 0.148145 | − | 0.135187i | ||||
\(66\) | 3.14527 | − | 0.293513i | 0.387156 | − | 0.0361289i | ||||
\(67\) | 0.978397 | + | 11.1831i | 0.119530 | + | 1.36624i | 0.784853 | + | 0.619682i | \(0.212738\pi\) |
−0.665323 | + | 0.746556i | \(0.731706\pi\) | |||||||
\(68\) | −0.242882 | − | 2.77616i | −0.0294538 | − | 0.336659i | ||||
\(69\) | −5.83610 | + | 12.7069i | −0.702584 | + | 1.52973i | ||||
\(70\) | −1.61558 | − | 0.0738883i | −0.193098 | − | 0.00883134i | ||||
\(71\) | 5.58689 | + | 3.22559i | 0.663042 | + | 0.382807i | 0.793435 | − | 0.608655i | \(-0.208291\pi\) |
−0.130393 | + | 0.991462i | \(0.541624\pi\) | |||||||
\(72\) | 6.51852 | + | 6.36945i | 0.768215 | + | 0.750647i | ||||
\(73\) | 8.08612 | + | 2.16667i | 0.946409 | + | 0.253589i | 0.698838 | − | 0.715280i | \(-0.253701\pi\) |
0.247571 | + | 0.968870i | \(0.420368\pi\) | |||||||
\(74\) | −2.00658 | − | 11.3799i | −0.233261 | − | 1.32289i | ||||
\(75\) | −2.25518 | − | 8.36147i | −0.260406 | − | 0.965499i | ||||
\(76\) | −3.34729 | + | 1.21831i | −0.383960 | + | 0.139750i | ||||
\(77\) | −0.694499 | − | 0.991847i | −0.0791455 | − | 0.113032i | ||||
\(78\) | −0.660168 | − | 1.12833i | −0.0747494 | − | 0.127758i | ||||
\(79\) | 1.04738 | + | 1.24822i | 0.117840 | + | 0.140436i | 0.821739 | − | 0.569863i | \(-0.193004\pi\) |
−0.703899 | + | 0.710300i | \(0.748559\pi\) | |||||||
\(80\) | 2.88018 | − | 0.901566i | 0.322013 | − | 0.100798i | ||||
\(81\) | −4.67907 | − | 7.68806i | −0.519897 | − | 0.854229i | ||||
\(82\) | 3.11669 | + | 3.11669i | 0.344181 | + | 0.344181i | ||||
\(83\) | −1.78607 | − | 0.156261i | −0.196046 | − | 0.0171518i | −0.0112903 | − | 0.999936i | \(-0.503594\pi\) |
−0.184756 | + | 0.982784i | \(0.559149\pi\) | |||||||
\(84\) | 0.276752 | − | 1.05727i | 0.0301961 | − | 0.115358i | ||||
\(85\) | 5.42053 | + | 4.17718i | 0.587940 | + | 0.453078i | ||||
\(86\) | 2.31528 | + | 6.36117i | 0.249663 | + | 0.685942i | ||||
\(87\) | 4.32778 | − | 12.1079i | 0.463987 | − | 1.29810i | ||||
\(88\) | 4.34834 | + | 3.04474i | 0.463535 | + | 0.324571i | ||||
\(89\) | −2.78132 | − | 4.81739i | −0.294820 | − | 0.510643i | 0.680123 | − | 0.733098i | \(-0.261926\pi\) |
−0.974943 | + | 0.222455i | \(0.928593\pi\) | |||||||
\(90\) | −6.99183 | + | 0.371820i | −0.737003 | + | 0.0391933i | ||||
\(91\) | −0.250538 | + | 0.433944i | −0.0262635 | + | 0.0454897i | ||||
\(92\) | −6.66246 | + | 3.10676i | −0.694610 | + | 0.323902i | ||||
\(93\) | −2.64995 | − | 7.15171i | −0.274787 | − | 0.741598i | ||||
\(94\) | 2.72350 | − | 3.24574i | 0.280907 | − | 0.334772i | ||||
\(95\) | 3.36417 | − | 8.07451i | 0.345156 | − | 0.828427i | ||||
\(96\) | 0.751097 | + | 8.04871i | 0.0766585 | + | 0.821468i | ||||
\(97\) | −1.95866 | − | 4.20036i | −0.198872 | − | 0.426482i | 0.781429 | − | 0.623995i | \(-0.214491\pi\) |
−0.980300 | + | 0.197513i | \(0.936714\pi\) | |||||||
\(98\) | −6.57321 | + | 1.76129i | −0.663995 | + | 0.177917i | ||||
\(99\) | −3.41576 | − | 3.97642i | −0.343297 | − | 0.399646i | ||||
\(100\) | 1.94120 | − | 4.11833i | 0.194120 | − | 0.411833i | ||||
\(101\) | 11.1359 | − | 1.96356i | 1.10806 | − | 0.195381i | 0.410469 | − | 0.911875i | \(-0.365365\pi\) |
0.697594 | + | 0.716493i | \(0.254254\pi\) | |||||||
\(102\) | 4.21769 | − | 3.58083i | 0.417613 | − | 0.354555i | ||||
\(103\) | −2.08661 | + | 4.47475i | −0.205600 | + | 0.440911i | −0.981887 | − | 0.189470i | \(-0.939323\pi\) |
0.776287 | + | 0.630380i | \(0.217101\pi\) | |||||||
\(104\) | 0.381463 | − | 2.16339i | 0.0374055 | − | 0.212137i | ||||
\(105\) | 1.45038 | + | 2.25809i | 0.141542 | + | 0.220367i | ||||
\(106\) | −6.68142 | + | 5.60638i | −0.648957 | + | 0.544540i | ||||
\(107\) | 11.1511 | − | 11.1511i | 1.07801 | − | 1.07801i | 0.0813251 | − | 0.996688i | \(-0.474085\pi\) |
0.996688 | − | 0.0813251i | \(-0.0259152\pi\) | |||||||
\(108\) | 0.740660 | − | 4.67318i | 0.0712700 | − | 0.449677i | ||||
\(109\) | 20.3152i | 1.94584i | 0.231133 | + | 0.972922i | \(0.425757\pi\) | ||||
−0.231133 | + | 0.972922i | \(0.574243\pi\) | |||||||
\(110\) | −3.98331 | + | 0.874433i | −0.379794 | + | 0.0833739i | ||||
\(111\) | −13.4806 | + | 13.6374i | −1.27952 | + | 1.29441i | ||||
\(112\) | −0.766117 | + | 0.536441i | −0.0723912 | + | 0.0506889i | ||||
\(113\) | −0.110679 | − | 0.0516106i | −0.0104118 | − | 0.00485512i | 0.417405 | − | 0.908720i | \(-0.362940\pi\) |
−0.427817 | + | 0.903865i | \(0.640717\pi\) | |||||||
\(114\) | −5.81647 | − | 4.02281i | −0.544763 | − | 0.376771i | ||||
\(115\) | 5.46397 | − | 17.2052i | 0.509518 | − | 1.60440i | ||||
\(116\) | 5.85416 | − | 3.37990i | 0.543545 | − | 0.313816i | ||||
\(117\) | −0.894000 | + | 1.97656i | −0.0826503 | + | 0.182733i | ||||
\(118\) | −0.758229 | − | 2.82975i | −0.0698006 | − | 0.260500i | ||||
\(119\) | −1.99281 | − | 0.725323i | −0.182681 | − | 0.0664903i | ||||
\(120\) | −9.36100 | − | 7.12788i | −0.854538 | − | 0.650683i | ||||
\(121\) | 6.08755 | + | 5.10806i | 0.553414 | + | 0.464369i | ||||
\(122\) | −6.80165 | + | 0.595068i | −0.615793 | + | 0.0538749i | ||||
\(123\) | 1.22844 | − | 7.21039i | 0.110764 | − | 0.650139i | ||||
\(124\) | 1.37137 | − | 3.76782i | 0.123153 | − | 0.338360i | ||||
\(125\) | 4.21431 | + | 10.3557i | 0.376939 | + | 0.926238i | ||||
\(126\) | 2.03021 | − | 0.765643i | 0.180866 | − | 0.0682089i | ||||
\(127\) | 4.29687 | − | 16.0361i | 0.381286 | − | 1.42298i | −0.462654 | − | 0.886539i | \(-0.653103\pi\) |
0.843939 | − | 0.536439i | \(-0.180231\pi\) | |||||||
\(128\) | −0.821539 | + | 1.17328i | −0.0726144 | + | 0.103704i | ||||
\(129\) | 6.38993 | − | 9.23903i | 0.562602 | − | 0.813451i | ||||
\(130\) | 1.02462 | + | 1.34104i | 0.0898647 | + | 0.117617i | ||||
\(131\) | −22.1825 | − | 3.91138i | −1.93810 | − | 0.341739i | −0.938109 | − | 0.346341i | \(-0.887424\pi\) |
−0.999989 | + | 0.00460251i | \(0.998535\pi\) | |||||||
\(132\) | −0.0159371 | − | 2.75584i | −0.00138714 | − | 0.239865i | ||||
\(133\) | −0.236256 | + | 2.70042i | −0.0204860 | + | 0.234156i | ||||
\(134\) | −11.7170 | −1.01220 | ||||||||
\(135\) | 7.21318 | + | 9.10879i | 0.620812 | + | 0.783960i | ||||
\(136\) | 9.29735 | 0.797241 | ||||||||
\(137\) | −0.454409 | + | 5.19392i | −0.0388228 | + | 0.443747i | 0.951761 | + | 0.306840i | \(0.0992716\pi\) |
−0.990584 | + | 0.136907i | \(0.956284\pi\) | |||||||
\(138\) | −12.6815 | − | 7.22420i | −1.07952 | − | 0.614965i | ||||
\(139\) | −12.7974 | − | 2.25653i | −1.08546 | − | 0.191396i | −0.397833 | − | 0.917458i | \(-0.630238\pi\) |
−0.687630 | + | 0.726061i | \(0.741349\pi\) | |||||||
\(140\) | −0.187057 | + | 1.39846i | −0.0158092 | + | 0.118192i | ||||
\(141\) | −7.00776 | − | 0.572284i | −0.590160 | − | 0.0481950i | ||||
\(142\) | −3.86214 | + | 5.51571i | −0.324104 | + | 0.462868i | ||||
\(143\) | −0.327027 | + | 1.22048i | −0.0273474 | + | 0.102062i | ||||
\(144\) | −3.07144 | + | 2.63838i | −0.255954 | + | 0.219865i | ||||
\(145\) | −3.62638 | + | 16.1988i | −0.301154 | + | 1.34523i | ||||
\(146\) | −2.98845 | + | 8.21069i | −0.247326 | + | 0.679522i | ||||
\(147\) | 8.69252 | + | 7.20864i | 0.716947 | + | 0.594559i | ||||
\(148\) | −10.0427 | + | 0.878625i | −0.825507 | + | 0.0722225i | ||||
\(149\) | 8.70742 | + | 7.30639i | 0.713340 | + | 0.598563i | 0.925534 | − | 0.378664i | \(-0.123617\pi\) |
−0.212194 | + | 0.977227i | \(0.568061\pi\) | |||||||
\(150\) | 8.89925 | − | 1.58426i | 0.726621 | − | 0.129354i | ||||
\(151\) | −8.54652 | − | 3.11068i | −0.695506 | − | 0.253143i | −0.0300149 | − | 0.999549i | \(-0.509555\pi\) |
−0.665491 | + | 0.746406i | \(0.731778\pi\) | |||||||
\(152\) | −3.07583 | − | 11.4792i | −0.249483 | − | 0.931083i | ||||
\(153\) | −8.89532 | − | 2.27356i | −0.719144 | − | 0.183806i | ||||
\(154\) | 1.09448 | − | 0.631900i | 0.0881959 | − | 0.0509199i | ||||
\(155\) | 4.52841 | + | 8.74312i | 0.363730 | + | 0.702265i | ||||
\(156\) | −1.03081 | + | 0.487953i | −0.0825311 | + | 0.0390675i | ||||
\(157\) | 3.03444 | + | 1.41498i | 0.242175 | + | 0.112928i | 0.539917 | − | 0.841718i | \(-0.318456\pi\) |
−0.297742 | + | 0.954646i | \(0.596233\pi\) | |||||||
\(158\) | −1.39316 | + | 0.975501i | −0.110834 | + | 0.0776067i | ||||
\(159\) | 14.0019 | + | 3.66515i | 1.11042 | + | 0.290665i | ||||
\(160\) | −2.23767 | − | 10.1933i | −0.176903 | − | 0.805849i | ||||
\(161\) | 5.59421i | 0.440886i | ||||||||
\(162\) | 8.41955 | − | 4.16584i | 0.661502 | − | 0.327299i | ||||
\(163\) | 9.97670 | − | 9.97670i | 0.781435 | − | 0.781435i | −0.198638 | − | 0.980073i | \(-0.563652\pi\) |
0.980073 | + | 0.198638i | \(0.0636517\pi\) | |||||||
\(164\) | 2.94567 | − | 2.47171i | 0.230018 | − | 0.193008i | ||||
\(165\) | 5.00646 | + | 4.55349i | 0.389752 | + | 0.354489i | ||||
\(166\) | 0.324953 | − | 1.84290i | 0.0252213 | − | 0.143037i | ||||
\(167\) | 5.88249 | − | 12.6150i | 0.455201 | − | 0.976182i | −0.536049 | − | 0.844187i | \(-0.680084\pi\) |
0.991250 | − | 0.131995i | \(-0.0421383\pi\) | |||||||
\(168\) | 3.43343 | + | 1.22723i | 0.264895 | + | 0.0946826i | ||||
\(169\) | −12.2876 | + | 2.16663i | −0.945196 | + | 0.166664i | ||||
\(170\) | −4.83645 | + | 5.25618i | −0.370939 | + | 0.403130i | ||||
\(171\) | 0.135731 | + | 11.7350i | 0.0103796 | + | 0.897394i | ||||
\(172\) | 5.70447 | − | 1.52851i | 0.434962 | − | 0.116548i | ||||
\(173\) | 1.31470 | + | 2.81939i | 0.0999551 | + | 0.214354i | 0.949926 | − | 0.312476i | \(-0.101158\pi\) |
−0.849971 | + | 0.526830i | \(0.823380\pi\) | |||||||
\(174\) | 12.1959 | + | 5.60139i | 0.924565 | + | 0.424640i | ||||
\(175\) | −2.21607 | − | 2.66333i | −0.167519 | − | 0.201329i | ||||
\(176\) | −1.51594 | + | 1.80663i | −0.114268 | + | 0.136180i | ||||
\(177\) | −3.10330 | + | 3.74211i | −0.233258 | + | 0.281274i | ||||
\(178\) | 5.26205 | − | 2.45373i | 0.394407 | − | 0.183915i | ||||
\(179\) | −2.53650 | + | 4.39334i | −0.189587 | + | 0.328374i | −0.945113 | − | 0.326745i | \(-0.894048\pi\) |
0.755526 | + | 0.655119i | \(0.227381\pi\) | |||||||
\(180\) | −0.208482 | + | 6.10480i | −0.0155393 | + | 0.455025i | ||||
\(181\) | −4.66805 | − | 8.08530i | −0.346974 | − | 0.600976i | 0.638737 | − | 0.769425i | \(-0.279457\pi\) |
−0.985710 | + | 0.168449i | \(0.946124\pi\) | |||||||
\(182\) | −0.428416 | − | 0.299980i | −0.0317563 | − | 0.0222360i | ||||
\(183\) | 7.33291 | + | 8.63709i | 0.542064 | + | 0.638472i | ||||
\(184\) | −8.38822 | − | 23.0464i | −0.618388 | − | 1.69901i | ||||
\(185\) | 15.1109 | − | 19.6087i | 1.11098 | − | 1.44166i | ||||
\(186\) | 7.67728 | − | 2.10478i | 0.562925 | − | 0.154330i | ||||
\(187\) | −5.32731 | − | 0.466079i | −0.389572 | − | 0.0340831i | ||||
\(188\) | −2.61375 | − | 2.61375i | −0.190628 | − | 0.190628i | ||||
\(189\) | −2.98486 | − | 2.01377i | −0.217117 | − | 0.146480i | ||||
\(190\) | 8.08968 | + | 4.23253i | 0.586887 | + | 0.307060i | ||||
\(191\) | 0.729528 | + | 0.869417i | 0.0527868 | + | 0.0629088i | 0.791792 | − | 0.610791i | \(-0.209148\pi\) |
−0.739005 | + | 0.673700i | \(0.764704\pi\) | |||||||
\(192\) | −13.1126 | + | 0.0758304i | −0.946320 | + | 0.00547259i | ||||
\(193\) | −7.90607 | − | 11.2910i | −0.569091 | − | 0.812746i | 0.426701 | − | 0.904393i | \(-0.359676\pi\) |
−0.995792 | + | 0.0916467i | \(0.970787\pi\) | |||||||
\(194\) | 4.54563 | − | 1.65447i | 0.326357 | − | 0.118784i | ||||
\(195\) | 0.832233 | − | 2.67409i | 0.0595974 | − | 0.191495i | ||||
\(196\) | 1.03092 | + | 5.84663i | 0.0736371 | + | 0.417617i | ||||
\(197\) | 1.93314 | + | 0.517983i | 0.137730 | + | 0.0369048i | 0.327026 | − | 0.945015i | \(-0.393954\pi\) |
−0.189295 | + | 0.981920i | \(0.560620\pi\) | |||||||
\(198\) | 4.44534 | − | 3.18991i | 0.315916 | − | 0.226697i | ||||
\(199\) | −16.0030 | − | 9.23931i | −1.13442 | − | 0.654957i | −0.189377 | − | 0.981905i | \(-0.560647\pi\) |
−0.945043 | + | 0.326947i | \(0.893980\pi\) | |||||||
\(200\) | 13.1231 | + | 7.64921i | 0.927940 | + | 0.540881i | ||||
\(201\) | 11.2444 | + | 15.8626i | 0.793118 | + | 1.11886i | ||||
\(202\) | 1.02865 | + | 11.7575i | 0.0723755 | + | 0.827256i | ||||
\(203\) | −0.448343 | − | 5.12458i | −0.0314675 | − | 0.359675i | ||||
\(204\) | −2.79136 | − | 3.93782i | −0.195435 | − | 0.275702i | ||||
\(205\) | −0.431411 | + | 9.43285i | −0.0301311 | + | 0.658819i | ||||
\(206\) | −4.46295 | − | 2.57668i | −0.310948 | − | 0.179526i | ||||
\(207\) | 2.38976 | + | 24.1011i | 0.166100 | + | 1.67515i | ||||
\(208\) | 0.942717 | + | 0.252600i | 0.0653656 | + | 0.0175147i | ||||
\(209\) | 1.18697 | + | 6.73167i | 0.0821047 | + | 0.465639i | ||||
\(210\) | −2.47986 | + | 1.30266i | −0.171127 | + | 0.0898920i | ||||
\(211\) | 15.7638 | − | 5.73754i | 1.08522 | − | 0.394989i | 0.263374 | − | 0.964694i | \(-0.415165\pi\) |
0.821849 | + | 0.569705i | \(0.192943\pi\) | |||||||
\(212\) | 4.36442 | + | 6.23304i | 0.299750 | + | 0.428087i | ||||
\(213\) | 11.1736 | − | 0.0646171i | 0.765602 | − | 0.00442749i | ||||
\(214\) | 10.5803 | + | 12.6091i | 0.723251 | + | 0.861937i | ||||
\(215\) | −6.72305 | + | 12.8498i | −0.458508 | + | 0.876352i | ||||
\(216\) | 15.3162 | + | 3.82046i | 1.04214 | + | 0.259950i | ||||
\(217\) | −2.15759 | − | 2.15759i | −0.146467 | − | 0.146467i | ||||
\(218\) | −21.1234 | − | 1.84806i | −1.43066 | − | 0.125166i | ||||
\(219\) | 13.9836 | − | 3.83371i | 0.944926 | − | 0.259058i | ||||
\(220\) | 0.457088 | + | 3.52835i | 0.0308168 | + | 0.237881i | ||||
\(221\) | 0.756900 | + | 2.07957i | 0.0509146 | + | 0.139887i | ||||
\(222\) | −12.9536 | − | 15.2574i | −0.869389 | − | 1.02401i | ||||
\(223\) | −16.4615 | − | 11.5264i | −1.10234 | − | 0.771868i | −0.126854 | − | 0.991921i | \(-0.540488\pi\) |
−0.975488 | + | 0.220054i | \(0.929377\pi\) | |||||||
\(224\) | 1.61703 | + | 2.80077i | 0.108042 | + | 0.187134i | ||||
\(225\) | −10.6851 | − | 10.5275i | −0.712338 | − | 0.701836i | ||||
\(226\) | 0.0637321 | − | 0.110387i | 0.00423940 | − | 0.00734285i | ||||
\(227\) | −4.22414 | + | 1.96975i | −0.280366 | + | 0.130737i | −0.557715 | − | 0.830032i | \(-0.688322\pi\) |
0.277349 | + | 0.960769i | \(0.410544\pi\) | |||||||
\(228\) | −3.93844 | + | 4.74916i | −0.260830 | + | 0.314521i | ||||
\(229\) | 15.6103 | − | 18.6036i | 1.03156 | − | 1.22936i | 0.0586205 | − | 0.998280i | \(-0.481330\pi\) |
0.972935 | − | 0.231080i | \(-0.0742258\pi\) | |||||||
\(230\) | 17.3926 | + | 7.24648i | 1.14684 | + | 0.477819i | ||||
\(231\) | −1.90581 | − | 0.875311i | −0.125393 | − | 0.0575912i | ||||
\(232\) | 9.53106 | + | 20.4394i | 0.625745 | + | 1.34191i | ||||
\(233\) | 6.84167 | − | 1.83322i | 0.448213 | − | 0.120098i | −0.0276501 | − | 0.999618i | \(-0.508802\pi\) |
0.475863 | + | 0.879519i | \(0.342136\pi\) | |||||||
\(234\) | −1.97386 | − | 1.10937i | −0.129035 | − | 0.0725218i | ||||
\(235\) | 9.06925 | − | 0.377166i | 0.591613 | − | 0.0246036i | ||||
\(236\) | −2.51696 | + | 0.443808i | −0.163840 | + | 0.0288894i | ||||
\(237\) | 2.65761 | + | 0.949922i | 0.172630 | + | 0.0617041i | ||||
\(238\) | 0.935462 | − | 2.00610i | 0.0606370 | − | 0.130036i | ||||
\(239\) | −2.01666 | + | 11.4370i | −0.130447 | + | 0.739799i | 0.847476 | + | 0.530833i | \(0.178121\pi\) |
−0.977923 | + | 0.208966i | \(0.932990\pi\) | |||||||
\(240\) | 3.51718 | − | 3.86706i | 0.227033 | − | 0.249618i | ||||
\(241\) | 8.02324 | − | 6.73230i | 0.516822 | − | 0.433665i | −0.346700 | − | 0.937976i | \(-0.612698\pi\) |
0.863522 | + | 0.504311i | \(0.168253\pi\) | |||||||
\(242\) | −5.86505 | + | 5.86505i | −0.377020 | + | 0.377020i | ||||
\(243\) | −13.7197 | − | 7.40068i | −0.880119 | − | 0.474754i | ||||
\(244\) | 5.95649i | 0.381325i | ||||||||
\(245\) | −12.2794 | − | 7.85861i | −0.784501 | − | 0.502068i | ||||
\(246\) | 7.38548 | + | 1.93323i | 0.470881 | + | 0.123258i | ||||
\(247\) | 2.31717 | − | 1.62250i | 0.147438 | − | 0.103237i | ||||
\(248\) | 12.1238 | + | 5.65342i | 0.769862 | + | 0.358993i | ||||
\(249\) | −2.80679 | + | 1.32864i | −0.177873 | + | 0.0841992i | ||||
\(250\) | −11.1510 | + | 3.43991i | −0.705250 | + | 0.217559i | ||||
\(251\) | −9.75413 | + | 5.63155i | −0.615675 | + | 0.355460i | −0.775183 | − | 0.631736i | \(-0.782343\pi\) |
0.159508 | + | 0.987197i | \(0.449009\pi\) | |||||||
\(252\) | −0.511044 | − | 1.82265i | −0.0321928 | − | 0.114816i | ||||
\(253\) | 3.65106 | + | 13.6259i | 0.229540 | + | 0.856656i | ||||
\(254\) | 16.2832 | + | 5.92660i | 1.02170 | + | 0.371868i | ||||
\(255\) | 11.7572 | + | 1.50348i | 0.736267 | + | 0.0941515i | ||||
\(256\) | −12.7442 | − | 10.6936i | −0.796511 | − | 0.668352i | ||||
\(257\) | −19.7620 | + | 1.72895i | −1.23272 | + | 0.107849i | −0.684832 | − | 0.728701i | \(-0.740124\pi\) |
−0.547890 | + | 0.836551i | \(0.684569\pi\) | |||||||
\(258\) | 9.02528 | + | 7.48459i | 0.561889 | + | 0.465970i | ||||
\(259\) | −2.62385 | + | 7.20897i | −0.163038 | + | 0.447944i | ||||
\(260\) | 1.24339 | − | 0.788516i | 0.0771121 | − | 0.0489017i | ||||
\(261\) | −4.12070 | − | 21.8863i | −0.255065 | − | 1.35473i | ||||
\(262\) | 6.08491 | − | 22.7092i | 0.375927 | − | 1.40298i | ||||
\(263\) | −9.68085 | + | 13.8257i | −0.596947 | + | 0.852529i | −0.997980 | − | 0.0635351i | \(-0.979763\pi\) |
0.401033 | + | 0.916064i | \(0.368651\pi\) | |||||||
\(264\) | 9.16382 | + | 0.748357i | 0.563994 | + | 0.0460582i | ||||
\(265\) | −18.5205 | − | 2.47727i | −1.13770 | − | 0.152178i | ||||
\(266\) | −2.78635 | − | 0.491310i | −0.170842 | − | 0.0301241i | ||||
\(267\) | −8.37169 | − | 4.76906i | −0.512339 | − | 0.291862i | ||||
\(268\) | −0.890909 | + | 10.1831i | −0.0544209 | + | 0.622034i | ||||
\(269\) | −30.5994 | −1.86568 | −0.932838 | − | 0.360296i | \(-0.882676\pi\) | ||||
−0.932838 | + | 0.360296i | \(0.882676\pi\) | |||||||
\(270\) | −10.1273 | + | 6.67151i | −0.616329 | + | 0.406015i | ||||
\(271\) | −5.21670 | −0.316892 | −0.158446 | − | 0.987368i | \(-0.550648\pi\) | ||||
−0.158446 | + | 0.987368i | \(0.550648\pi\) | |||||||
\(272\) | −0.360006 | + | 4.11489i | −0.0218286 | + | 0.249502i | ||||
\(273\) | 0.00501894 | + | 0.867874i | 0.000303760 | + | 0.0525262i | ||||
\(274\) | −5.35921 | − | 0.944973i | −0.323761 | − | 0.0570879i | ||||
\(275\) | −7.13596 | − | 5.04080i | −0.430314 | − | 0.303972i | ||||
\(276\) | −7.24272 | + | 10.4721i | −0.435961 | + | 0.630344i | ||||
\(277\) | 6.69422 | − | 9.56033i | 0.402216 | − | 0.574425i | −0.566042 | − | 0.824377i | \(-0.691526\pi\) |
0.968258 | + | 0.249952i | \(0.0804148\pi\) | |||||||
\(278\) | 3.51047 | − | 13.1012i | 0.210544 | − | 0.785760i | ||||
\(279\) | −10.2171 | − | 8.37370i | −0.611681 | − | 0.501320i | ||||
\(280\) | −4.59348 | − | 1.02833i | −0.274513 | − | 0.0614545i | ||||
\(281\) | 4.68215 | − | 12.8641i | 0.279313 | − | 0.767407i | −0.718127 | − | 0.695912i | \(-0.755001\pi\) |
0.997441 | − | 0.0714958i | \(-0.0227772\pi\) | |||||||
\(282\) | 1.23254 | − | 7.23447i | 0.0733966 | − | 0.430807i | ||||
\(283\) | 8.84093 | − | 0.773481i | 0.525539 | − | 0.0459787i | 0.178700 | − | 0.983904i | \(-0.442811\pi\) |
0.346838 | + | 0.937925i | \(0.387255\pi\) | |||||||
\(284\) | 4.49999 | + | 3.77594i | 0.267025 | + | 0.224061i | ||||
\(285\) | −2.03333 | − | 15.0137i | −0.120444 | − | 0.889335i | ||||
\(286\) | −1.23928 | − | 0.451062i | −0.0732804 | − | 0.0266719i | ||||
\(287\) | −0.757366 | − | 2.82653i | −0.0447059 | − | 0.166845i | ||||
\(288\) | 8.16295 | + | 11.3756i | 0.481007 | + | 0.670313i | ||||
\(289\) | 6.61106 | − | 3.81690i | 0.388886 | − | 0.224524i | ||||
\(290\) | −16.5133 | − | 5.24422i | −0.969694 | − | 0.307951i | ||||
\(291\) | −6.60212 | − | 4.56619i | −0.387023 | − | 0.267675i | ||||
\(292\) | 6.90860 | + | 3.22153i | 0.404295 | + | 0.188526i | ||||
\(293\) | 9.25201 | − | 6.47833i | 0.540508 | − | 0.378468i | −0.271207 | − | 0.962521i | \(-0.587423\pi\) |
0.811716 | + | 0.584053i | \(0.198534\pi\) | |||||||
\(294\) | −8.28616 | + | 8.38256i | −0.483259 | + | 0.488881i | ||||
\(295\) | 3.38311 | − | 5.28624i | 0.196972 | − | 0.307777i | ||||
\(296\) | − | 33.6331i | − | 1.95488i | ||||||
\(297\) | −8.58457 | − | 2.95691i | −0.498127 | − | 0.171577i | ||||
\(298\) | −8.38915 | + | 8.38915i | −0.485971 | + | 0.485971i | ||||
\(299\) | 4.47198 | − | 3.75244i | 0.258621 | − | 0.217009i | ||||
\(300\) | −0.700205 | − | 7.85471i | −0.0404264 | − | 0.453492i | ||||
\(301\) | 0.780408 | − | 4.42591i | 0.0449820 | − | 0.255105i | ||||
\(302\) | 4.01189 | − | 8.60353i | 0.230858 | − | 0.495078i | ||||
\(303\) | 14.9303 | − | 12.6759i | 0.857723 | − | 0.728209i | ||||
\(304\) | 5.19963 | − | 0.916835i | 0.298219 | − | 0.0525841i | ||||
\(305\) | −10.7637 | − | 9.90421i | −0.616330 | − | 0.567114i | ||||
\(306\) | 3.17320 | − | 9.04236i | 0.181400 | − | 0.516917i | ||||
\(307\) | −8.24213 | + | 2.20847i | −0.470403 | + | 0.126044i | −0.486230 | − | 0.873831i | \(-0.661628\pi\) |
0.0158274 | + | 0.999875i | \(0.494962\pi\) | |||||||
\(308\) | −0.465958 | − | 0.999250i | −0.0265504 | − | 0.0569376i | ||||
\(309\) | 0.794586 | + | 8.51474i | 0.0452024 | + | 0.484386i | ||||
\(310\) | −9.50288 | + | 3.91320i | −0.539727 | + | 0.222255i | ||||
\(311\) | −9.40563 | + | 11.2092i | −0.533344 | + | 0.635615i | −0.963682 | − | 0.267053i | \(-0.913950\pi\) |
0.430338 | + | 0.902668i | \(0.358394\pi\) | |||||||
\(312\) | −1.32201 | − | 3.56785i | −0.0748439 | − | 0.201990i | ||||
\(313\) | −8.45186 | + | 3.94117i | −0.477727 | + | 0.222768i | −0.646540 | − | 0.762880i | \(-0.723785\pi\) |
0.168812 | + | 0.985648i | \(0.446007\pi\) | |||||||
\(314\) | −1.74731 | + | 3.02644i | −0.0986067 | + | 0.170792i | ||||
\(315\) | 4.14339 | + | 2.10715i | 0.233453 | + | 0.118724i | ||||
\(316\) | 0.741868 | + | 1.28495i | 0.0417333 | + | 0.0722843i | ||||
\(317\) | 19.3542 | + | 13.5519i | 1.08704 | + | 0.761152i | 0.972648 | − | 0.232283i | \(-0.0746197\pi\) |
0.114390 | + | 0.993436i | \(0.463509\pi\) | |||||||
\(318\) | −5.08469 | + | 14.2255i | −0.285135 | + | 0.797726i | ||||
\(319\) | −4.43659 | − | 12.1894i | −0.248402 | − | 0.682478i | ||||
\(320\) | 16.7883 | − | 2.17488i | 0.938493 | − | 0.121579i | ||||
\(321\) | 6.91679 | − | 26.4241i | 0.386058 | − | 1.47485i | ||||
\(322\) | −5.81676 | − | 0.508900i | −0.324155 | − | 0.0283599i | ||||
\(323\) | 8.46556 | + | 8.46556i | 0.471036 | + | 0.471036i | ||||
\(324\) | −2.98030 | − | 7.63410i | −0.165572 | − | 0.424116i | ||||
\(325\) | −0.642570 | + | 3.55800i | −0.0356434 | + | 0.197362i | ||||
\(326\) | 9.46601 | + | 11.2812i | 0.524274 | + | 0.624805i | ||||
\(327\) | 17.7694 | + | 30.3706i | 0.982651 | + | 1.67950i | ||||
\(328\) | 7.35834 | + | 10.5088i | 0.406297 | + | 0.580252i | ||||
\(329\) | −2.64330 | + | 0.962081i | −0.145730 | + | 0.0530413i | ||||
\(330\) | −5.19007 | + | 4.79140i | −0.285704 | + | 0.263758i | ||||
\(331\) | 4.01625 | + | 22.7773i | 0.220753 | + | 1.25195i | 0.870639 | + | 0.491922i | \(0.163705\pi\) |
−0.649886 | + | 0.760032i | \(0.725183\pi\) | |||||||
\(332\) | −1.57694 | − | 0.422540i | −0.0865458 | − | 0.0231899i | ||||
\(333\) | −8.22459 | + | 32.1788i | −0.450705 | + | 1.76338i | ||||
\(334\) | 12.5818 | + | 7.26408i | 0.688443 | + | 0.397473i | ||||
\(335\) | −16.9202 | − | 18.5420i | −0.924447 | − | 1.01306i | ||||
\(336\) | −0.676102 | + | 1.47207i | −0.0368844 | + | 0.0803081i | ||||
\(337\) | −1.08633 | − | 12.4168i | −0.0591760 | − | 0.676384i | −0.966621 | − | 0.256212i | \(-0.917525\pi\) |
0.907445 | − | 0.420172i | \(-0.138030\pi\) | |||||||
\(338\) | −1.13503 | − | 12.9735i | −0.0617375 | − | 0.705663i | ||||
\(339\) | −0.210605 | + | 0.0196534i | −0.0114385 | + | 0.00106743i | ||||
\(340\) | 4.20035 | + | 4.60297i | 0.227796 | + | 0.249631i | ||||
\(341\) | −6.66344 | − | 3.84714i | −0.360846 | − | 0.208334i | ||||
\(342\) | −12.2141 | − | 0.926386i | −0.660464 | − | 0.0500932i | ||||
\(343\) | 9.04926 | + | 2.42474i | 0.488614 | + | 0.130924i | ||||
\(344\) | 3.42137 | + | 19.4036i | 0.184468 | + | 1.04617i | ||||
\(345\) | −6.88072 | − | 30.5005i | −0.370445 | − | 1.64209i | ||||
\(346\) | −3.05115 | + | 1.11053i | −0.164031 | + | 0.0597023i | ||||
\(347\) | 6.55983 | + | 9.36840i | 0.352150 | + | 0.502922i | 0.955676 | − | 0.294421i | \(-0.0951269\pi\) |
−0.603526 | + | 0.797343i | \(0.706238\pi\) | |||||||
\(348\) | 5.79543 | − | 10.1734i | 0.310667 | − | 0.545351i | ||||
\(349\) | 15.6113 | + | 18.6048i | 0.835652 | + | 0.995891i | 0.999955 | + | 0.00948135i | \(0.00301805\pi\) |
−0.164303 | + | 0.986410i | \(0.552538\pi\) | |||||||
\(350\) | 2.97087 | − | 2.06195i | 0.158800 | − | 0.110216i | ||||
\(351\) | 0.392365 | + | 3.73686i | 0.0209429 | + | 0.199459i | ||||
\(352\) | 5.76654 | + | 5.76654i | 0.307358 | + | 0.307358i | ||||
\(353\) | 33.3825 | + | 2.92059i | 1.77677 | + | 0.155447i | 0.927822 | − | 0.373024i | \(-0.121679\pi\) |
0.848951 | + | 0.528472i | \(0.177235\pi\) | |||||||
\(354\) | −3.60867 | − | 3.56717i | −0.191799 | − | 0.189593i | ||||
\(355\) | −14.3057 | + | 1.85327i | −0.759270 | + | 0.0983614i | ||||
\(356\) | −1.73241 | − | 4.75976i | −0.0918177 | − | 0.252267i | ||||
\(357\) | −3.61361 | + | 0.658747i | −0.191253 | + | 0.0348646i | ||||
\(358\) | −4.33737 | − | 3.03706i | −0.229237 | − | 0.160514i | ||||
\(359\) | −9.34241 | − | 16.1815i | −0.493073 | − | 0.854028i | 0.506895 | − | 0.862008i | \(-0.330793\pi\) |
−0.999968 | + | 0.00797981i | \(0.997460\pi\) | |||||||
\(360\) | −20.2290 | − | 2.46802i | −1.06616 | − | 0.130076i | ||||
\(361\) | −1.84847 | + | 3.20165i | −0.0972881 | + | 0.168508i | ||||
\(362\) | 8.83159 | − | 4.11824i | 0.464178 | − | 0.216450i | ||||
\(363\) | 13.5686 | + | 2.31169i | 0.712169 | + | 0.121332i | ||||
\(364\) | −0.293285 | + | 0.349523i | −0.0153723 | + | 0.0183200i | ||||
\(365\) | −17.3088 | + | 7.12762i | −0.905986 | + | 0.373077i | ||||
\(366\) | −9.64775 | + | 6.83891i | −0.504296 | + | 0.357476i | ||||
\(367\) | −3.00914 | − | 6.45312i | −0.157076 | − | 0.336850i | 0.811983 | − | 0.583682i | \(-0.198388\pi\) |
−0.969058 | + | 0.246831i | \(0.920611\pi\) | |||||||
\(368\) | 10.5249 | − | 2.82013i | 0.548647 | − | 0.147009i | ||||
\(369\) | −4.47035 | − | 11.8538i | −0.232717 | − | 0.617084i | ||||
\(370\) | 19.0142 | + | 17.4958i | 0.988500 | + | 0.909565i | ||||
\(371\) | 5.70252 | − | 1.00551i | 0.296060 | − | 0.0522034i | ||||
\(372\) | −1.24550 | − | 6.83228i | −0.0645760 | − | 0.354237i | ||||
\(373\) | −4.36650 | + | 9.36399i | −0.226089 | + | 0.484849i | −0.986328 | − | 0.164794i | \(-0.947304\pi\) |
0.760239 | + | 0.649643i | \(0.225082\pi\) | |||||||
\(374\) | 0.969241 | − | 5.49684i | 0.0501183 | − | 0.284235i | ||||
\(375\) | 15.3582 | + | 11.7952i | 0.793093 | + | 0.609100i | ||||
\(376\) | 9.44698 | − | 7.92696i | 0.487191 | − | 0.408802i | ||||
\(377\) | −3.79582 | + | 3.79582i | −0.195495 | + | 0.195495i | ||||
\(378\) | 2.36541 | − | 2.92041i | 0.121663 | − | 0.150210i | ||||
\(379\) | − | 5.45309i | − | 0.280106i | −0.990144 | − | 0.140053i | \(-0.955273\pi\) | ||
0.990144 | − | 0.140053i | \(-0.0447273\pi\) | |||||||
\(380\) | 4.29355 | − | 6.70884i | 0.220254 | − | 0.344156i | ||||
\(381\) | −7.60290 | − | 27.7319i | −0.389508 | − | 1.42075i | ||||
\(382\) | −0.970368 | + | 0.679459i | −0.0496483 | + | 0.0347641i | ||||
\(383\) | 4.05128 | + | 1.88914i | 0.207011 | + | 0.0965307i | 0.523359 | − | 0.852113i | \(-0.324679\pi\) |
−0.316348 | + | 0.948643i | \(0.602457\pi\) | |||||||
\(384\) | −0.201923 | + | 2.47260i | −0.0103044 | + | 0.126179i | ||||
\(385\) | 2.58048 | + | 0.819498i | 0.131513 | + | 0.0417655i | ||||
\(386\) | 12.4594 | − | 7.19344i | 0.634167 | − | 0.366137i | ||||
\(387\) | 1.47149 | − | 19.4012i | 0.0748003 | − | 0.986219i | ||||
\(388\) | −1.09226 | − | 4.07636i | −0.0554510 | − | 0.206946i | ||||
\(389\) | 9.10172 | + | 3.31276i | 0.461476 | + | 0.167963i | 0.562287 | − | 0.826942i | \(-0.309922\pi\) |
−0.100811 | + | 0.994906i | \(0.532144\pi\) | |||||||
\(390\) | 2.70476 | + | 1.10860i | 0.136961 | + | 0.0561361i | ||||
\(391\) | 18.9268 | + | 15.8814i | 0.957168 | + | 0.803159i | ||||
\(392\) | −19.7314 | + | 1.72627i | −0.996586 | + | 0.0871899i | ||||
\(393\) | −36.5834 | + | 13.5554i | −1.84539 | + | 0.683778i | ||||
\(394\) | −0.714445 | + | 1.96292i | −0.0359932 | + | 0.0988906i | ||||
\(395\) | −3.55553 | − | 0.795968i | −0.178898 | − | 0.0400495i | ||||
\(396\) | −2.43432 | − | 4.10595i | −0.122329 | − | 0.206332i | ||||
\(397\) | 0.263053 | − | 0.981728i | 0.0132023 | − | 0.0492715i | −0.959010 | − | 0.283371i | \(-0.908547\pi\) |
0.972213 | + | 0.234099i | \(0.0752140\pi\) | |||||||
\(398\) | 11.0626 | − | 15.7991i | 0.554520 | − | 0.791936i | ||||
\(399\) | 2.00882 | + | 4.24369i | 0.100567 | + | 0.212450i | ||||
\(400\) | −3.89359 | + | 5.51191i | −0.194679 | + | 0.275596i | ||||
\(401\) | 8.07342 | + | 1.42356i | 0.403168 | + | 0.0710893i | 0.371555 | − | 0.928411i | \(-0.378825\pi\) |
0.0316124 | + | 0.999500i | \(0.489936\pi\) | |||||||
\(402\) | −17.5165 | + | 10.2487i | −0.873646 | + | 0.511159i | ||||
\(403\) | −0.277515 | + | 3.17202i | −0.0138240 | + | 0.158009i | ||||
\(404\) | 10.2965 | 0.512272 | ||||||||
\(405\) | 18.7508 | + | 7.30808i | 0.931734 | + | 0.363141i | ||||
\(406\) | 5.36923 | 0.266470 | ||||||||
\(407\) | −1.68604 | + | 19.2715i | −0.0835738 | + | 0.955253i | ||||
\(408\) | 13.8992 | − | 8.13225i | 0.688114 | − | 0.402606i | ||||
\(409\) | 28.0740 | + | 4.95021i | 1.38817 | + | 0.244772i | 0.817274 | − | 0.576249i | \(-0.195484\pi\) |
0.570897 | + | 0.821021i | \(0.306595\pi\) | |||||||
\(410\) | −9.76885 | − | 1.30667i | −0.482449 | − | 0.0645318i | ||||
\(411\) | 3.86372 | + | 8.16221i | 0.190583 | + | 0.402612i | ||||
\(412\) | −2.57871 | + | 3.68278i | −0.127044 | + | 0.181438i | ||||
\(413\) | −0.503386 | + | 1.87866i | −0.0247700 | + | 0.0924429i | ||||
\(414\) | −25.2773 | + | 0.292368i | −1.24231 | + | 0.0143691i | ||||
\(415\) | 3.38562 | − | 2.14704i | 0.166194 | − | 0.105394i | ||||
\(416\) | 1.15426 | − | 3.17132i | 0.0565925 | − | 0.155487i | ||||
\(417\) | −21.1055 | + | 7.82028i | −1.03354 | + | 0.382961i | ||||
\(418\) | −7.10744 | + | 0.621820i | −0.347636 | + | 0.0304142i | ||||
\(419\) | 19.6956 | + | 16.5265i | 0.962192 | + | 0.807375i | 0.981308 | − | 0.192443i | \(-0.0616409\pi\) |
−0.0191165 | + | 0.999817i | \(0.506085\pi\) | |||||||
\(420\) | 0.943571 | + | 2.25427i | 0.0460415 | + | 0.109997i | ||||
\(421\) | −12.0396 | − | 4.38206i | −0.586775 | − | 0.213569i | 0.0315356 | − | 0.999503i | \(-0.489960\pi\) |
−0.618310 | + | 0.785934i | \(0.712182\pi\) | |||||||
\(422\) | 4.53177 | + | 16.9128i | 0.220603 | + | 0.823303i | ||||
\(423\) | −10.9769 | + | 5.27404i | −0.533717 | + | 0.256432i | ||||
\(424\) | −21.9849 | + | 12.6930i | −1.06768 | + | 0.616427i | ||||
\(425\) | −15.3020 | − | 0.0633475i | −0.742256 | − | 0.00307281i | ||||
\(426\) | −0.949263 | + | 11.6240i | −0.0459920 | + | 0.563183i | ||||
\(427\) | 4.10815 | + | 1.91566i | 0.198807 | + | 0.0927054i | ||||
\(428\) | 11.7629 | − | 8.23645i | 0.568580 | − | 0.398124i | ||||
\(429\) | 0.578643 | + | 2.11062i | 0.0279371 | + | 0.101902i | ||||
\(430\) | −12.7494 | − | 8.15944i | −0.614833 | − | 0.393483i | ||||
\(431\) | 5.16823i | 0.248945i | 0.992223 | + | 0.124473i | \(0.0397239\pi\) | ||||
−0.992223 | + | 0.124473i | \(0.960276\pi\) | |||||||
\(432\) | −2.28396 | + | 6.63084i | −0.109887 | + | 0.319026i | ||||
\(433\) | −2.74947 | + | 2.74947i | −0.132131 | + | 0.132131i | −0.770079 | − | 0.637948i | \(-0.779783\pi\) |
0.637948 | + | 0.770079i | \(0.279783\pi\) | |||||||
\(434\) | 2.43970 | − | 2.04715i | 0.117109 | − | 0.0982663i | ||||
\(435\) | 8.74752 | + | 27.3886i | 0.419411 | + | 1.31318i | ||||
\(436\) | −3.21225 | + | 18.2176i | −0.153839 | + | 0.872464i | ||||
\(437\) | 13.3468 | − | 28.6224i | 0.638465 | − | 1.36919i | ||||
\(438\) | 2.71414 | + | 14.8887i | 0.129687 | + | 0.711408i | ||||
\(439\) | 31.6512 | − | 5.58095i | 1.51063 | − | 0.266364i | 0.643886 | − | 0.765122i | \(-0.277321\pi\) |
0.866742 | + | 0.498757i | \(0.166210\pi\) | |||||||
\(440\) | −11.8596 | + | 0.493207i | −0.565383 | + | 0.0235127i | ||||
\(441\) | 19.3003 | + | 3.17346i | 0.919063 | + | 0.151117i | ||||
\(442\) | −2.23115 | + | 0.597834i | −0.106125 | + | 0.0284361i | ||||
\(443\) | −6.48333 | − | 13.9035i | −0.308032 | − | 0.660577i | 0.689965 | − | 0.723843i | \(-0.257626\pi\) |
−0.997997 | + | 0.0632661i | \(0.979848\pi\) | |||||||
\(444\) | −14.2450 | + | 10.0977i | −0.676039 | + | 0.479218i | ||||
\(445\) | 11.4818 | + | 4.78377i | 0.544288 | + | 0.226772i | ||||
\(446\) | 13.4825 | − | 16.0678i | 0.638413 | − | 0.760831i | ||||
\(447\) | 19.4081 | + | 3.30656i | 0.917972 | + | 0.156395i | ||||
\(448\) | −4.75455 | + | 2.21708i | −0.224631 | + | 0.104747i | ||||
\(449\) | 1.37821 | − | 2.38713i | 0.0650416 | − | 0.112655i | −0.831671 | − | 0.555269i | \(-0.812615\pi\) |
0.896712 | + | 0.442614i | \(0.145949\pi\) | |||||||
\(450\) | 11.9184 | − | 10.1525i | 0.561837 | − | 0.478591i | ||||
\(451\) | −3.68947 | − | 6.39034i | −0.173730 | − | 0.300910i | ||||
\(452\) | −0.0910905 | − | 0.0637823i | −0.00428454 | − | 0.00300007i | ||||
\(453\) | −15.4976 | + | 2.82515i | −0.728142 | + | 0.132737i | ||||
\(454\) | −1.66384 | − | 4.57137i | −0.0780879 | − | 0.214545i | ||||
\(455\) | −0.143947 | − | 1.11115i | −0.00674834 | − | 0.0520917i | ||||
\(456\) | −14.6389 | − | 14.4706i | −0.685530 | − | 0.677647i | ||||
\(457\) | −34.1536 | − | 2.98806i | −1.59764 | − | 0.139775i | −0.746745 | − | 0.665111i | \(-0.768384\pi\) |
−0.850895 | + | 0.525335i | \(0.823940\pi\) | |||||||
\(458\) | 17.9236 | + | 17.9236i | 0.837515 | + | 0.837515i | ||||
\(459\) | −15.2869 | + | 4.38171i | −0.713529 | + | 0.204521i | ||||
\(460\) | 7.62030 | − | 14.5648i | 0.355298 | − | 0.679086i | ||||
\(461\) | −1.95614 | − | 2.33124i | −0.0911067 | − | 0.108577i | 0.718565 | − | 0.695460i | \(-0.244799\pi\) |
−0.809672 | + | 0.586883i | \(0.800355\pi\) | |||||||
\(462\) | 1.08350 | − | 1.90200i | 0.0504090 | − | 0.0884889i | ||||
\(463\) | −15.4489 | − | 22.0633i | −0.717970 | − | 1.02537i | −0.997863 | − | 0.0653361i | \(-0.979188\pi\) |
0.279894 | − | 0.960031i | \(-0.409701\pi\) | |||||||
\(464\) | −9.41529 | + | 3.42689i | −0.437094 | + | 0.159089i | ||||
\(465\) | 14.4173 | + | 9.10975i | 0.668586 | + | 0.422455i | ||||
\(466\) | 1.28377 | + | 7.28061i | 0.0594694 | + | 0.337268i | ||||
\(467\) | 16.6209 | + | 4.45355i | 0.769122 | + | 0.206086i | 0.621983 | − | 0.783030i | \(-0.286327\pi\) |
0.147138 | + | 0.989116i | \(0.452994\pi\) | |||||||
\(468\) | −1.11423 | + | 1.63111i | −0.0515051 | + | 0.0753981i | ||||
\(469\) | 6.73671 | + | 3.88944i | 0.311073 | + | 0.179598i | ||||
\(470\) | −0.432852 | + | 9.46435i | −0.0199660 | + | 0.436558i | ||||
\(471\) | 5.77406 | − | 0.538829i | 0.266055 | − | 0.0248279i | ||||
\(472\) | −0.743156 | − | 8.49431i | −0.0342065 | − | 0.390982i | ||||
\(473\) | −0.987714 | − | 11.2896i | −0.0454152 | − | 0.519098i | ||||
\(474\) | −1.22947 | + | 2.67692i | −0.0564715 | + | 0.122955i | ||||
\(475\) | 4.98413 | + | 18.9139i | 0.228688 | + | 0.867828i | ||||
\(476\) | −1.67236 | − | 0.965535i | −0.0766523 | − | 0.0442552i | ||||
\(477\) | 24.1382 | − | 6.76799i | 1.10521 | − | 0.309885i | ||||
\(478\) | −11.7085 | − | 3.13729i | −0.535536 | − | 0.143497i | ||||
\(479\) | −6.03903 | − | 34.2490i | −0.275930 | − | 1.56488i | −0.735991 | − | 0.676991i | \(-0.763283\pi\) |
0.460061 | − | 0.887888i | \(-0.347828\pi\) | |||||||
\(480\) | −12.2611 | − | 13.2813i | −0.559642 | − | 0.606207i | ||||
\(481\) | 7.52282 | − | 2.73808i | 0.343011 | − | 0.124846i | ||||
\(482\) | 6.27025 | + | 8.95484i | 0.285602 | + | 0.407882i | ||||
\(483\) | 4.89318 | + | 8.36316i | 0.222647 | + | 0.380537i | ||||
\(484\) | 4.65130 | + | 5.54320i | 0.211423 | + | 0.251964i | ||||
\(485\) | 9.18238 | + | 4.80423i | 0.416951 | + | 0.218149i | ||||
\(486\) | 8.94315 | − | 13.5922i | 0.405670 | − | 0.616557i | ||||
\(487\) | −10.1713 | − | 10.1713i | −0.460908 | − | 0.460908i | 0.438045 | − | 0.898953i | \(-0.355671\pi\) |
−0.898953 | + | 0.438045i | \(0.855671\pi\) | |||||||
\(488\) | −19.7968 | − | 1.73199i | −0.896157 | − | 0.0784036i | ||||
\(489\) | 6.18836 | − | 23.6413i | 0.279847 | − | 1.06910i | ||||
\(490\) | 9.28827 | − | 12.0530i | 0.419601 | − | 0.544498i | ||||
\(491\) | 10.0702 | + | 27.6677i | 0.454462 | + | 1.24863i | 0.929553 | + | 0.368688i | \(0.120193\pi\) |
−0.475091 | + | 0.879937i | \(0.657585\pi\) | |||||||
\(492\) | 2.24171 | − | 6.27165i | 0.101064 | − | 0.282748i | ||||
\(493\) | −18.6107 | − | 13.0313i | −0.838183 | − | 0.586902i | ||||
\(494\) | 1.47626 | + | 2.55695i | 0.0664199 | + | 0.115043i | ||||
\(495\) | 11.4674 | + | 2.42824i | 0.515420 | + | 0.109141i | ||||
\(496\) | −2.97158 | + | 5.14694i | −0.133428 | + | 0.231104i | ||||
\(497\) | 4.05148 | − | 1.88923i | 0.181734 | − | 0.0847438i | ||||
\(498\) | −1.12617 | − | 3.03931i | −0.0504647 | − | 0.136195i | ||||
\(499\) | −11.3613 | + | 13.5399i | −0.508604 | + | 0.606130i | −0.957847 | − | 0.287279i | \(-0.907249\pi\) |
0.449243 | + | 0.893410i | \(0.351694\pi\) | |||||||
\(500\) | 2.14172 | + | 9.95276i | 0.0957807 | + | 0.445101i | ||||
\(501\) | −2.24006 | − | 24.0044i | −0.100079 | − | 1.07244i | ||||
\(502\) | −4.96826 | − | 10.6545i | −0.221744 | − | 0.475532i | ||||
\(503\) | −12.5537 | + | 3.36375i | −0.559742 | + | 0.149982i | −0.527588 | − | 0.849501i | \(-0.676903\pi\) |
−0.0321541 | + | 0.999483i | \(0.510237\pi\) | |||||||
\(504\) | 6.20630 | − | 1.16851i | 0.276450 | − | 0.0520494i | ||||
\(505\) | −17.1207 | + | 18.6065i | −0.761860 | + | 0.827977i | ||||
\(506\) | −14.5001 | + | 2.55677i | −0.644610 | + | 0.113662i | ||||
\(507\) | −16.4744 | + | 13.9868i | −0.731652 | + | 0.621175i | ||||
\(508\) | 6.38885 | − | 13.7009i | 0.283459 | − | 0.607880i | ||||
\(509\) | 0.0644329 | − | 0.365417i | 0.00285594 | − | 0.0161968i | −0.983346 | − | 0.181741i | \(-0.941827\pi\) |
0.986202 | + | 0.165544i | \(0.0529380\pi\) | |||||||
\(510\) | −2.63283 | + | 12.0882i | −0.116584 | + | 0.535274i | ||||
\(511\) | 4.44374 | − | 3.72874i | 0.196579 | − | 0.164950i | ||||
\(512\) | 10.2528 | − | 10.2528i | 0.453113 | − | 0.453113i | ||||
\(513\) | 10.4673 | + | 17.4246i | 0.462143 | + | 0.769317i | ||||
\(514\) | − | 20.7055i | − | 0.913279i | ||||||
\(515\) | −2.36723 | − | 10.7835i | −0.104313 | − | 0.475176i | ||||
\(516\) | 7.19103 | − | 7.27468i | 0.316567 | − | 0.320250i | ||||
\(517\) | −5.81043 | + | 4.06851i | −0.255542 | + | 0.178933i | ||||
\(518\) | −7.25707 | − | 3.38403i | −0.318857 | − | 0.148686i | ||||
\(519\) | 4.43152 | + | 3.06494i | 0.194522 | + | 0.134536i | ||||
\(520\) | 2.25913 | + | 4.36177i | 0.0990695 | + | 0.191276i | ||||
\(521\) | −2.40696 | + | 1.38966i | −0.105451 | + | 0.0608820i | −0.551798 | − | 0.833978i | \(-0.686058\pi\) |
0.446347 | + | 0.894860i | \(0.352725\pi\) | |||||||
\(522\) | 23.1318 | − | 2.29365i | 1.01245 | − | 0.100390i | ||||
\(523\) | −3.93462 | − | 14.6842i | −0.172049 | − | 0.642096i | −0.997035 | − | 0.0769434i | \(-0.975484\pi\) |
0.824986 | − | 0.565153i | \(-0.191183\pi\) | |||||||
\(524\) | −19.2736 | − | 7.01503i | −0.841973 | − | 0.306453i | ||||
\(525\) | −5.64253 | − | 2.04322i | −0.246260 | − | 0.0891734i | ||||
\(526\) | −13.4950 | − | 11.3237i | −0.588411 | − | 0.493736i | ||||
\(527\) | −13.4249 | + | 1.17453i | −0.584799 | + | 0.0511633i | ||||
\(528\) | −0.686049 | + | 4.02681i | −0.0298565 | + | 0.175245i | ||||
\(529\) | 14.4247 | − | 39.6316i | 0.627162 | − | 1.72311i | ||||
\(530\) | 4.26061 | − | 19.0319i | 0.185069 | − | 0.826691i | ||||
\(531\) | −1.36617 | + | 8.30874i | −0.0592866 | + | 0.360569i | ||||
\(532\) | −0.638854 | + | 2.38424i | −0.0276978 | + | 0.103370i | ||||
\(533\) | −1.75149 | + | 2.50139i | −0.0758655 | + | 0.108347i | ||||
\(534\) | 5.72034 | − | 8.27089i | 0.247544 | − | 0.357916i | ||||
\(535\) | −4.67506 | + | 34.9514i | −0.202121 | + | 1.51108i | ||||
\(536\) | −33.5852 | − | 5.92198i | −1.45066 | − | 0.255790i | ||||
\(537\) | 0.0508127 | + | 8.78654i | 0.00219273 | + | 0.379167i | ||||
\(538\) | 2.78359 | − | 31.8166i | 0.120009 | − | 1.37171i | ||||
\(539\) | 11.3925 | 0.490709 | ||||||||
\(540\) | 5.02810 | + | 9.30883i | 0.216375 | + | 0.400588i | ||||
\(541\) | −16.6575 | −0.716163 | −0.358081 | − | 0.933690i | \(-0.616569\pi\) | ||||
−0.358081 | + | 0.933690i | \(0.616569\pi\) | |||||||
\(542\) | 0.474558 | − | 5.42423i | 0.0203840 | − | 0.232990i | ||||
\(543\) | −14.0507 | − | 8.00418i | −0.602972 | − | 0.343492i | ||||
\(544\) | 14.0664 | + | 2.48028i | 0.603090 | + | 0.106341i | ||||
\(545\) | −27.5791 | − | 36.0962i | −1.18136 | − | 1.54619i | ||||
\(546\) | −0.902856 | − | 0.0737311i | −0.0386387 | − | 0.00315540i | ||||
\(547\) | −0.222344 | + | 0.317541i | −0.00950676 | + | 0.0135771i | −0.823877 | − | 0.566768i | \(-0.808194\pi\) |
0.814371 | + | 0.580345i | \(0.197082\pi\) | |||||||
\(548\) | −1.22876 | + | 4.58578i | −0.0524899 | + | 0.195895i | ||||
\(549\) | 18.5172 | + | 6.49817i | 0.790294 | + | 0.277335i | ||||
\(550\) | 5.89048 | − | 6.96127i | 0.251171 | − | 0.296830i | ||||
\(551\) | −9.93246 | + | 27.2892i | −0.423137 | + | 1.16256i | ||||
\(552\) | −32.6985 | − | 27.1166i | −1.39174 | − | 1.15416i | ||||
\(553\) | 1.12482 | − | 0.0984086i | 0.0478320 | − | 0.00418476i | ||||
\(554\) | 9.33168 | + | 7.83021i | 0.396465 | + | 0.332674i | ||||
\(555\) | 5.43882 | − | 42.5317i | 0.230865 | − | 1.80537i | ||||
\(556\) | −11.1192 | − | 4.04707i | −0.471561 | − | 0.171634i | ||||
\(557\) | 3.29185 | + | 12.2853i | 0.139480 | + | 0.520546i | 0.999939 | + | 0.0110271i | \(0.00351010\pi\) |
−0.860459 | + | 0.509519i | \(0.829823\pi\) | |||||||
\(558\) | 9.63626 | − | 9.86178i | 0.407935 | − | 0.417482i | ||||
\(559\) | −4.06152 | + | 2.34492i | −0.171784 | + | 0.0991797i | ||||
\(560\) | 0.632992 | − | 1.99320i | 0.0267488 | − | 0.0842280i | ||||
\(561\) | −8.37183 | + | 3.96295i | −0.353459 | + | 0.167316i | ||||
\(562\) | 12.9499 | + | 6.03864i | 0.546259 | + | 0.254725i | ||||
\(563\) | −23.9613 | + | 16.7779i | −1.00985 | + | 0.707102i | −0.956578 | − | 0.291478i | \(-0.905853\pi\) |
−0.0532691 | + | 0.998580i | \(0.516964\pi\) | |||||||
\(564\) | −6.19369 | − | 1.62126i | −0.260801 | − | 0.0682675i | ||||
\(565\) | 0.266720 | − | 0.0585514i | 0.0112210 | − | 0.00246328i | ||||
\(566\) | 9.26299i | 0.389353i | ||||||||
\(567\) | −6.22368 | − | 0.399701i | −0.261370 | − | 0.0167859i | ||||
\(568\) | −13.8580 | + | 13.8580i | −0.581470 | + | 0.581470i | ||||
\(569\) | 3.92124 | − | 3.29031i | 0.164387 | − | 0.137937i | −0.556884 | − | 0.830591i | \(-0.688003\pi\) |
0.721270 | + | 0.692654i | \(0.243559\pi\) | |||||||
\(570\) | 15.7959 | − | 0.748438i | 0.661619 | − | 0.0313486i | ||||
\(571\) | 1.16063 | − | 6.58228i | 0.0485710 | − | 0.275460i | −0.950844 | − | 0.309671i | \(-0.899781\pi\) |
0.999415 | + | 0.0342116i | \(0.0108920\pi\) | |||||||
\(572\) | −0.486243 | + | 1.04275i | −0.0203309 | + | 0.0435997i | ||||
\(573\) | 1.85109 | + | 0.661643i | 0.0773302 | + | 0.0276405i | ||||
\(574\) | 3.00787 | − | 0.530368i | 0.125546 | − | 0.0221372i | ||||
\(575\) | 13.6487 | + | 37.9880i | 0.569190 | + | 1.58421i | ||||
\(576\) | −19.5366 | + | 11.5828i | −0.814023 | + | 0.482615i | ||||
\(577\) | 44.6435 | − | 11.9622i | 1.85853 | − | 0.497992i | 0.858640 | − | 0.512580i | \(-0.171310\pi\) |
0.999894 | + | 0.0145873i | \(0.00464346\pi\) | |||||||
\(578\) | 3.36734 | + | 7.22128i | 0.140063 | + | 0.300366i | ||||
\(579\) | −21.6954 | − | 9.96440i | −0.901630 | − | 0.414106i | ||||
\(580\) | −5.81330 | + | 13.9528i | −0.241384 | + | 0.579358i | ||||
\(581\) | −0.798581 | + | 0.951712i | −0.0331307 | + | 0.0394837i | ||||
\(582\) | 5.34842 | − | 6.44938i | 0.221699 | − | 0.267335i | ||||
\(583\) | 13.2335 | − | 6.17089i | 0.548076 | − | 0.255572i | ||||
\(584\) | −12.7158 | + | 22.0244i | −0.526183 | + | 0.911376i | ||||
\(585\) | −1.09482 | − | 4.72561i | −0.0452654 | − | 0.195380i | ||||
\(586\) | 5.89440 | + | 10.2094i | 0.243495 | + | 0.421746i | ||||
\(587\) | 1.45431 | + | 1.01832i | 0.0600260 | + | 0.0420306i | 0.603204 | − | 0.797587i | \(-0.293890\pi\) |
−0.543178 | + | 0.839617i | \(0.682779\pi\) | |||||||
\(588\) | 6.65515 | + | 7.83879i | 0.274454 | + | 0.323266i | ||||
\(589\) | 5.89151 | + | 16.1868i | 0.242755 | + | 0.666965i | ||||
\(590\) | 5.18877 | + | 3.99858i | 0.213618 | + | 0.164619i | ||||
\(591\) | 3.34305 | − | 0.916521i | 0.137515 | − | 0.0377006i | ||||
\(592\) | 14.8856 | + | 1.30232i | 0.611794 | + | 0.0535250i | ||||
\(593\) | −27.8118 | − | 27.8118i | −1.14209 | − | 1.14209i | −0.988066 | − | 0.154028i | \(-0.950775\pi\) |
−0.154028 | − | 0.988066i | \(-0.549225\pi\) | |||||||
\(594\) | 3.85547 | − | 8.65708i | 0.158192 | − | 0.355204i | ||||
\(595\) | 4.52550 | − | 1.41659i | 0.185528 | − | 0.0580747i | ||||
\(596\) | 6.65306 | + | 7.92880i | 0.272520 | + | 0.324776i | ||||
\(597\) | −32.0054 | + | 0.185088i | −1.30989 | + | 0.00757514i | ||||
\(598\) | 3.49490 | + | 4.99124i | 0.142917 | + | 0.204107i | ||||
\(599\) | −37.7245 | + | 13.7306i | −1.54138 | + | 0.561017i | −0.966376 | − | 0.257133i | \(-0.917222\pi\) |
−0.575005 | + | 0.818150i | \(0.695000\pi\) | |||||||
\(600\) | 26.3092 | − | 0.0432302i | 1.07407 | − | 0.00176486i | ||||
\(601\) | 3.13840 | + | 17.7988i | 0.128018 | + | 0.726027i | 0.979469 | + | 0.201593i | \(0.0646119\pi\) |
−0.851451 | + | 0.524434i | \(0.824277\pi\) | |||||||
\(602\) | 4.53099 | + | 1.21407i | 0.184669 | + | 0.0494820i | ||||
\(603\) | 30.6848 | + | 13.8788i | 1.24958 | + | 0.565188i | ||||
\(604\) | −7.17219 | − | 4.14087i | −0.291832 | − | 0.168490i | ||||
\(605\) | −17.7509 | − | 0.811837i | −0.721676 | − | 0.0330058i | ||||
\(606\) | 11.8219 | + | 16.6773i | 0.480233 | + | 0.677471i | ||||
\(607\) | −1.24916 | − | 14.2779i | −0.0507016 | − | 0.579522i | −0.978473 | − | 0.206374i | \(-0.933834\pi\) |
0.927772 | − | 0.373149i | \(-0.121722\pi\) | |||||||
\(608\) | −1.59123 | − | 18.1879i | −0.0645330 | − | 0.737616i | ||||
\(609\) | −5.15265 | − | 7.26892i | −0.208796 | − | 0.294552i | ||||
\(610\) | 11.2774 | − | 10.2910i | 0.456608 | − | 0.416668i | ||||
\(611\) | 2.54213 | + | 1.46770i | 0.102844 | + | 0.0593767i | ||||
\(612\) | −7.61735 | − | 3.44534i | −0.307913 | − | 0.139270i | ||||
\(613\) | −27.3956 | − | 7.34062i | −1.10650 | − | 0.296485i | −0.341090 | − | 0.940031i | \(-0.610796\pi\) |
−0.765408 | + | 0.643546i | \(0.777463\pi\) | |||||||
\(614\) | −1.54655 | − | 8.77091i | −0.0624136 | − | 0.353965i | ||||
\(615\) | 7.60583 | + | 14.4791i | 0.306697 | + | 0.583855i | ||||
\(616\) | 3.45655 | − | 1.25808i | 0.139269 | − | 0.0506896i | ||||
\(617\) | 13.4838 | + | 19.2569i | 0.542839 | + | 0.775255i | 0.993053 | − | 0.117666i | \(-0.0375412\pi\) |
−0.450214 | + | 0.892921i | \(0.648652\pi\) | |||||||
\(618\) | −8.92574 | + | 0.0516178i | −0.359046 | + | 0.00207637i | ||||
\(619\) | −5.35313 | − | 6.37961i | −0.215160 | − | 0.256418i | 0.647659 | − | 0.761930i | \(-0.275748\pi\) |
−0.862820 | + | 0.505512i | \(0.831304\pi\) | |||||||
\(620\) | 2.67836 | + | 8.55640i | 0.107566 | + | 0.343633i | ||||
\(621\) | 24.6535 | + | 33.9401i | 0.989312 | + | 1.36197i | ||||
\(622\) | −10.7995 | − | 10.7995i | −0.433020 | − | 0.433020i | ||||
\(623\) | −3.83994 | − | 0.335951i | −0.153844 | − | 0.0134596i | ||||
\(624\) | 1.63028 | − | 0.446952i | 0.0652633 | − | 0.0178924i | ||||
\(625\) | −21.5464 | − | 12.6788i | −0.861856 | − | 0.507153i | ||||
\(626\) | −3.32909 | − | 9.14661i | −0.133057 | − | 0.365572i | ||||
\(627\) | 7.66258 | + | 9.02539i | 0.306014 | + | 0.360439i | ||||
\(628\) | 2.49739 | + | 1.74869i | 0.0996566 | + | 0.0697803i | ||||
\(629\) | 16.9411 | + | 29.3428i | 0.675485 | + | 1.16997i | ||||
\(630\) | −2.56789 | + | 4.11653i | −0.102307 | + | 0.164006i | ||||
\(631\) | 10.7788 | − | 18.6694i | 0.429097 | − | 0.743218i | −0.567696 | − | 0.823238i | \(-0.692165\pi\) |
0.996793 | + | 0.0800204i | \(0.0254985\pi\) | |||||||
\(632\) | −4.48633 | + | 2.09201i | −0.178457 | + | 0.0832158i | ||||
\(633\) | 18.5478 | − | 22.3658i | 0.737208 | − | 0.888960i | ||||
\(634\) | −15.8517 | + | 18.8913i | −0.629550 | + | 0.750269i | ||||
\(635\) | 14.1353 | + | 34.3264i | 0.560941 | + | 1.36220i | ||||
\(636\) | 11.9766 | + | 5.50069i | 0.474904 | + | 0.218117i | ||||
\(637\) | −1.99246 | − | 4.27285i | −0.0789442 | − | 0.169296i | ||||
\(638\) | 13.0779 | − | 3.50422i | 0.517761 | − | 0.138734i | ||||
\(639\) | 16.6476 | − | 9.86998i | 0.658570 | − | 0.390450i | ||||
\(640\) | −0.133078 | − | 3.19997i | −0.00526038 | − | 0.126490i | ||||
\(641\) | −4.89330 | + | 0.862821i | −0.193274 | + | 0.0340794i | −0.269447 | − | 0.963015i | \(-0.586841\pi\) |
0.0761733 | + | 0.997095i | \(0.475730\pi\) | |||||||
\(642\) | 26.8461 | + | 9.59572i | 1.05953 | + | 0.378713i | ||||
\(643\) | −9.66776 | + | 20.7326i | −0.381259 | + | 0.817613i | 0.618241 | + | 0.785989i | \(0.287846\pi\) |
−0.999500 | + | 0.0316243i | \(0.989932\pi\) | |||||||
\(644\) | −0.884560 | + | 5.01659i | −0.0348566 | + | 0.197681i | ||||
\(645\) | 1.18884 | + | 25.0906i | 0.0468104 | + | 0.987943i | ||||
\(646\) | −9.57243 | + | 8.03223i | −0.376622 | + | 0.316024i | ||||
\(647\) | 8.15287 | − | 8.15287i | 0.320522 | − | 0.320522i | −0.528445 | − | 0.848967i | \(-0.677225\pi\) |
0.848967 | + | 0.528445i | \(0.177225\pi\) | |||||||
\(648\) | 26.2390 | − | 7.68542i | 1.03076 | − | 0.301912i | ||||
\(649\) | 4.90443i | 0.192516i | ||||||||
\(650\) | −3.64109 | − | 0.991800i | −0.142815 | − | 0.0389016i | ||||
\(651\) | −5.11274 | − | 1.33831i | −0.200384 | − | 0.0524527i | ||||
\(652\) | 10.5241 | − | 7.36905i | 0.412155 | − | 0.288594i | ||||
\(653\) | 33.6553 | + | 15.6937i | 1.31703 | + | 0.614142i | 0.948884 | − | 0.315625i | \(-0.102214\pi\) |
0.368148 | + | 0.929767i | \(0.379992\pi\) | |||||||
\(654\) | −33.1952 | + | 15.7135i | −1.29804 | + | 0.614447i | ||||
\(655\) | 44.7240 | − | 23.1643i | 1.74751 | − | 0.905104i | ||||
\(656\) | −4.93599 | + | 2.84980i | −0.192718 | + | 0.111266i | ||||
\(657\) | 17.5518 | − | 17.9626i | 0.684760 | − | 0.700786i | ||||
\(658\) | −0.759896 | − | 2.83597i | −0.0296238 | − | 0.110558i | ||||
\(659\) | −17.4051 | − | 6.33493i | −0.678005 | − | 0.246774i | −0.0200144 | − | 0.999800i | \(-0.506371\pi\) |
−0.657991 | + | 0.753026i | \(0.728593\pi\) | |||||||
\(660\) | 3.76952 | + | 4.87495i | 0.146728 | + | 0.189757i | ||||
\(661\) | 32.6452 | + | 27.3925i | 1.26975 | + | 1.06545i | 0.994572 | + | 0.104053i | \(0.0331813\pi\) |
0.275178 | + | 0.961393i | \(0.411263\pi\) | |||||||
\(662\) | −24.0488 | + | 2.10399i | −0.934682 | + | 0.0817740i | ||||
\(663\) | 2.95051 | + | 2.44683i | 0.114588 | + | 0.0950271i | ||||
\(664\) | 1.86287 | − | 5.11819i | 0.0722933 | − | 0.198624i | ||||
\(665\) | −3.24619 | − | 5.11886i | −0.125882 | − | 0.198501i | ||||
\(666\) | −32.7107 | − | 11.4790i | −1.26751 | − | 0.444804i | ||||
\(667\) | −15.5115 | + | 57.8896i | −0.600607 | + | 2.24149i | ||||
\(668\) | 7.26980 | − | 10.3824i | 0.281277 | − | 0.401705i | ||||
\(669\) | −34.6914 | − | 2.83305i | −1.34125 | − | 0.109532i | ||||
\(670\) | 20.8189 | − | 15.9065i | 0.804303 | − | 0.614522i | ||||
\(671\) | 11.2566 | + | 1.98484i | 0.434555 | + | 0.0766238i | ||||
\(672\) | 4.86719 | + | 2.77267i | 0.187756 | + | 0.106958i | ||||
\(673\) | 0.827111 | − | 9.45392i | 0.0318828 | − | 0.364422i | −0.963448 | − | 0.267896i | \(-0.913672\pi\) |
0.995331 | − | 0.0965254i | \(-0.0307729\pi\) | |||||||
\(674\) | 13.0095 | 0.501109 | ||||||||
\(675\) | −25.1821 | − | 6.39225i | −0.969260 | − | 0.246038i | ||||
\(676\) | −11.3614 | −0.436977 | ||||||||
\(677\) | 0.944208 | − | 10.7923i | 0.0362888 | − | 0.414783i | −0.956223 | − | 0.292638i | \(-0.905467\pi\) |
0.992512 | − | 0.122146i | \(-0.0389775\pi\) | |||||||
\(678\) | −0.00127672 | − | 0.220771i | −4.90322e−5 | − | 0.00847865i | ||||
\(679\) | −3.16272 | − | 0.557672i | −0.121374 | − | 0.0214015i | ||||
\(680\) | −16.5196 | + | 12.6217i | −0.633497 | + | 0.484019i | ||||
\(681\) | −4.59204 | + | 6.63950i | −0.175967 | + | 0.254426i | ||||
\(682\) | 4.60635 | − | 6.57855i | 0.176386 | − | 0.251906i | ||||
\(683\) | −0.586431 | + | 2.18859i | −0.0224392 | + | 0.0837441i | −0.976237 | − | 0.216704i | \(-0.930469\pi\) |
0.953798 | + | 0.300448i | \(0.0971361\pi\) | |||||||
\(684\) | −1.73382 | + | 10.5447i | −0.0662943 | + | 0.403188i | ||||
\(685\) | −6.24365 | − | 9.84548i | −0.238558 | − | 0.376176i | ||||
\(686\) | −3.34440 | + | 9.18868i | −0.127690 | + | 0.350825i | ||||
\(687\) | 7.06454 | − | 41.4658i | 0.269529 | − | 1.58202i | ||||
\(688\) | −8.72026 | + | 0.762924i | −0.332457 | + | 0.0290862i | ||||
\(689\) | −4.62889 | − | 3.88410i | −0.176347 | − | 0.147972i | ||||
\(690\) | 32.3398 | − | 4.37984i | 1.23116 | − | 0.166738i | ||||
\(691\) | 7.28698 | + | 2.65224i | 0.277210 | + | 0.100896i | 0.476884 | − | 0.878966i | \(-0.341766\pi\) |
−0.199674 | + | 0.979862i | \(0.563988\pi\) | |||||||
\(692\) | 0.733152 | + | 2.73616i | 0.0278703 | + | 0.104013i | ||||
\(693\) | −3.61474 | + | 0.358421i | −0.137313 | + | 0.0136153i | ||||
\(694\) | −10.3378 | + | 5.96855i | −0.392419 | + | 0.226563i | ||||
\(695\) | 25.8019 | − | 13.3638i | 0.978722 | − | 0.506918i | ||||
\(696\) | 32.1267 | + | 22.2196i | 1.21776 | + | 0.842231i | ||||
\(697\) | −11.7130 | − | 5.46187i | −0.443662 | − | 0.206883i | ||||
\(698\) | −20.7650 | + | 14.5398i | −0.785969 | + | 0.550341i | ||||
\(699\) | 8.62458 | − | 8.72492i | 0.326212 | − | 0.330007i | ||||
\(700\) | −1.56613 | − | 2.73874i | −0.0591941 | − | 0.103514i | ||||
\(701\) | − | 3.06270i | − | 0.115677i | −0.998326 | − | 0.0578383i | \(-0.981579\pi\) | ||
0.998326 | − | 0.0578383i | \(-0.0184208\pi\) | |||||||
\(702\) | −3.92120 | + | 0.0680353i | −0.147996 | + | 0.00256783i | ||||
\(703\) | 30.6241 | − | 30.6241i | 1.15501 | − | 1.15501i | ||||
\(704\) | −10.1338 | + | 8.50324i | −0.381931 | + | 0.320478i | ||||
\(705\) | 13.2283 | − | 8.49659i | 0.498208 | − | 0.320000i | ||||
\(706\) | −6.07355 | + | 34.4448i | −0.228581 | + | 1.29635i | ||||
\(707\) | 3.31146 | − | 7.10146i | 0.124540 | − | 0.267078i | ||||
\(708\) | −3.37458 | + | 2.86502i | −0.126824 | + | 0.107674i | ||||
\(709\) | −45.6222 | + | 8.04442i | −1.71338 | + | 0.302114i | −0.942335 | − | 0.334671i | \(-0.891375\pi\) |
−0.771041 | + | 0.636785i | \(0.780264\pi\) | |||||||
\(710\) | −0.625615 | − | 15.0434i | −0.0234789 | − | 0.564570i | ||||
\(711\) | 4.80392 | − | 0.904469i | 0.180161 | − | 0.0339203i | ||||
\(712\) | 16.3231 | − | 4.37376i | 0.611734 | − | 0.163914i | ||||
\(713\) | 15.0236 | + | 32.2183i | 0.562640 | + | 1.20658i | ||||
\(714\) | −0.356226 | − | 3.81729i | −0.0133314 | − | 0.142859i | ||||
\(715\) | −1.07581 | − | 2.61252i | −0.0402330 | − | 0.0977026i | ||||
\(716\) | −2.96927 | + | 3.53864i | −0.110967 | + | 0.132245i | ||||
\(717\) | 6.98896 | + | 18.8619i | 0.261008 | + | 0.704411i | ||||
\(718\) | 17.6751 | − | 8.24204i | 0.659629 | − | 0.307590i | ||||
\(719\) | 25.2485 | − | 43.7317i | 0.941610 | − | 1.63092i | 0.179211 | − | 0.983811i | \(-0.442646\pi\) |
0.762400 | − | 0.647106i | \(-0.224021\pi\) | |||||||
\(720\) | 1.87561 | − | 8.85755i | 0.0698998 | − | 0.330101i | ||||
\(721\) | 1.71065 | + | 2.96294i | 0.0637080 | + | 0.110346i | ||||
\(722\) | −3.16086 | − | 2.21326i | −0.117635 | − | 0.0823690i | ||||
\(723\) | 6.10583 | − | 17.0824i | 0.227078 | − | 0.635300i | ||||
\(724\) | −2.90761 | − | 7.98858i | −0.108060 | − | 0.296893i | ||||
\(725\) | −15.5474 | − | 33.7051i | −0.577416 | − | 1.25178i | ||||
\(726\) | −3.63798 | + | 13.8981i | −0.135018 | + | 0.515808i | ||||
\(727\) | −10.5499 | − | 0.922993i | −0.391273 | − | 0.0342319i | −0.110178 | − | 0.993912i | \(-0.535142\pi\) |
−0.281095 | + | 0.959680i | \(0.590698\pi\) | |||||||
\(728\) | −1.07638 | − | 1.07638i | −0.0398933 | − | 0.0398933i | ||||
\(729\) | −26.9837 | + | 0.936651i | −0.999398 | + | 0.0346908i | ||||
\(730\) | −5.83659 | − | 18.6458i | −0.216022 | − | 0.690112i | ||||
\(731\) | −12.7586 | − | 15.2051i | −0.471893 | − | 0.562380i | ||||
\(732\) | 5.21006 | + | 8.90476i | 0.192569 | + | 0.329129i | ||||
\(733\) | 16.7312 | + | 23.8946i | 0.617981 | + | 0.882569i | 0.999120 | − | 0.0419494i | \(-0.0133568\pi\) |
−0.381139 | + | 0.924518i | \(0.624468\pi\) | |||||||
\(734\) | 6.98357 | − | 2.54181i | 0.257768 | − | 0.0938200i | ||||
\(735\) | −25.2311 | − | 1.00776i | −0.930662 | − | 0.0371719i | ||||
\(736\) | −6.54274 | − | 37.1057i | −0.241169 | − | 1.36774i | ||||
\(737\) | 18.9472 | + | 5.07689i | 0.697929 | + | 0.187010i | ||||
\(738\) | 12.7320 | − | 3.56986i | 0.468672 | − | 0.131408i | ||||
\(739\) | −5.54415 | − | 3.20092i | −0.203945 | − | 0.117748i | 0.394549 | − | 0.918875i | \(-0.370901\pi\) |
−0.598494 | + | 0.801127i | \(0.704234\pi\) | |||||||
\(740\) | 16.6512 | − | 15.1947i | 0.612110 | − | 0.558569i | ||||
\(741\) | 2.04492 | − | 4.45239i | 0.0751220 | − | 0.163563i | ||||
\(742\) | 0.526756 | + | 6.02085i | 0.0193378 | + | 0.221032i | ||||
\(743\) | −2.60134 | − | 29.7334i | −0.0954338 | − | 1.09081i | −0.881345 | − | 0.472473i | \(-0.843361\pi\) |
0.785911 | − | 0.618339i | \(-0.212194\pi\) | |||||||
\(744\) | 23.0696 | − | 2.15283i | 0.845774 | − | 0.0789267i | ||||
\(745\) | −25.3902 | − | 1.16122i | −0.930226 | − | 0.0425439i | ||||
\(746\) | −9.33928 | − | 5.39204i | −0.341935 | − | 0.197416i | ||||
\(747\) | −3.03391 | + | 4.44133i | −0.111005 | + | 0.162500i | ||||
\(748\) | −4.70355 | − | 1.26031i | −0.171979 | − | 0.0460816i | ||||
\(749\) | −1.89758 | − | 10.7617i | −0.0693359 | − | 0.393224i | ||||
\(750\) | −13.6615 | + | 14.8962i | −0.498848 | + | 0.543931i | ||||
\(751\) | −9.53000 | + | 3.46864i | −0.347755 | + | 0.126572i | −0.509991 | − | 0.860180i | \(-0.670351\pi\) |
0.162237 | + | 0.986752i | \(0.448129\pi\) | |||||||
\(752\) | 3.14257 | + | 4.48806i | 0.114598 | + | 0.163663i | ||||
\(753\) | −9.65627 | + | 16.9508i | −0.351894 | + | 0.617721i | ||||
\(754\) | −3.60152 | − | 4.29213i | −0.131160 | − | 0.156310i | ||||
\(755\) | 19.4084 | − | 6.07531i | 0.706345 | − | 0.221103i | ||||
\(756\) | −2.35824 | − | 2.27780i | −0.0857685 | − | 0.0828430i | ||||
\(757\) | 6.39851 | + | 6.39851i | 0.232558 | + | 0.232558i | 0.813760 | − | 0.581202i | \(-0.197417\pi\) |
−0.581202 | + | 0.813760i | \(0.697417\pi\) | |||||||
\(758\) | 5.67002 | + | 0.496062i | 0.205944 | + | 0.0180178i | ||||
\(759\) | 17.3766 | + | 17.1768i | 0.630732 | + | 0.623479i | ||||
\(760\) | 21.0488 | + | 16.2206i | 0.763519 | + | 0.588384i | ||||
\(761\) | 9.16585 | + | 25.1830i | 0.332262 | + | 0.912882i | 0.987522 | + | 0.157479i | \(0.0503367\pi\) |
−0.655260 | + | 0.755403i | \(0.727441\pi\) | |||||||
\(762\) | 29.5267 | − | 5.38260i | 1.06964 | − | 0.194991i | ||||
\(763\) | 11.5315 | + | 8.07441i | 0.417467 | + | 0.292313i | ||||
\(764\) | 0.516728 | + | 0.895000i | 0.0186946 | + | 0.0323800i | ||||
\(765\) | 18.8917 | − | 8.03623i | 0.683033 | − | 0.290550i | ||||
\(766\) | −2.33284 | + | 4.04059i | −0.0842888 | + | 0.145993i | ||||
\(767\) | 1.83945 | − | 0.857749i | 0.0664186 | − | 0.0309715i | ||||
\(768\) | −28.4057 | − | 4.83948i | −1.02500 | − | 0.174630i | ||||
\(769\) | 8.41448 | − | 10.0280i | 0.303434 | − | 0.361619i | −0.592684 | − | 0.805435i | \(-0.701932\pi\) |
0.896117 | + | 0.443817i | \(0.146376\pi\) | |||||||
\(770\) | −1.08684 | + | 2.60858i | −0.0391671 | + | 0.0940069i | ||||
\(771\) | −28.0313 | + | 19.8703i | −1.00952 | + | 0.715611i | ||||
\(772\) | −5.30439 | − | 11.3753i | −0.190909 | − | 0.409406i | ||||
\(773\) | −12.5218 | + | 3.35520i | −0.450377 | + | 0.120678i | −0.476876 | − | 0.878971i | \(-0.658231\pi\) |
0.0264987 | + | 0.999649i | \(0.491564\pi\) | |||||||
\(774\) | 20.0392 | + | 3.29494i | 0.720293 | + | 0.118434i | ||||
\(775\) | −19.9154 | − | 9.38727i | −0.715382 | − | 0.337201i | ||||
\(776\) | 13.8656 | − | 2.44488i | 0.497747 | − | 0.0877662i | ||||
\(777\) | 2.38301 | + | 13.0722i | 0.0854901 | + | 0.468963i | ||||
\(778\) | −4.27252 | + | 9.16244i | −0.153177 | + | 0.328489i | ||||
\(779\) | −2.86861 | + | 16.2687i | −0.102778 | + | 0.582886i | ||||
\(780\) | 1.16913 | − | 2.26638i | 0.0418616 | − | 0.0811496i | ||||
\(781\) | 8.63526 | − | 7.24584i | 0.308994 | − | 0.259277i | ||||
\(782\) | −18.2350 | + | 18.2350i | −0.652082 | + | 0.652082i | ||||
\(783\) | −25.3040 | − | 29.1150i | −0.904290 | − | 1.04049i | ||||
\(784\) | − | 8.79971i | − | 0.314275i | ||||||
\(785\) | −7.31254 | + | 1.60528i | −0.260996 | + | 0.0572948i | ||||
\(786\) | −10.7667 | − | 39.2718i | −0.384034 | − | 1.40078i | ||||
\(787\) | 10.2457 | − | 7.17412i | 0.365220 | − | 0.255730i | −0.376533 | − | 0.926403i | \(-0.622884\pi\) |
0.741753 | + | 0.670673i | \(0.233995\pi\) | |||||||
\(788\) | 1.65163 | + | 0.770169i | 0.0588370 | + | 0.0274361i | ||||
\(789\) | −2.37942 | + | 29.1367i | −0.0847098 | + | 1.03729i | ||||
\(790\) | 1.15108 | − | 3.62457i | 0.0409534 | − | 0.128956i | ||||
\(791\) | −0.0732857 | + | 0.0423115i | −0.00260574 | + | 0.00150443i | ||||
\(792\) | 14.3542 | − | 6.89669i | 0.510054 | − | 0.245063i | ||||
\(793\) | −1.22426 | − | 4.56900i | −0.0434748 | − | 0.162250i | ||||
\(794\) | 0.996853 | + | 0.362825i | 0.0353770 | + | 0.0128762i | ||||
\(795\) | −29.8543 | + | 12.4961i | −1.05882 | + | 0.443192i | ||||
\(796\) | −12.8897 | − | 10.8157i | −0.456862 | − | 0.383353i | ||||
\(797\) | −6.53273 | + | 0.571540i | −0.231401 | + | 0.0202450i | −0.202267 | − | 0.979331i | \(-0.564831\pi\) |
−0.0291347 | + | 0.999575i | \(0.509275\pi\) | |||||||
\(798\) | −4.59525 | + | 1.70269i | −0.162670 | + | 0.0602747i | ||||
\(799\) | −4.24908 | + | 11.6743i | −0.150322 | + | 0.413006i | ||||
\(800\) | 17.8138 | + | 15.0737i | 0.629814 | + | 0.532936i | ||||
\(801\) | −16.6868 | + | 0.193007i | −0.589600 | + | 0.00681957i | ||||
\(802\) | −2.21462 | + | 8.26509i | −0.0782011 | + | 0.291851i | ||||
\(803\) | 8.39015 | − | 11.9824i | 0.296082 | − | 0.422849i | ||||
\(804\) | 7.57516 | + | 16.0027i | 0.267155 | + | 0.564372i | ||||
\(805\) | −7.59447 | − | 9.93983i | −0.267670 | − | 0.350333i | ||||
\(806\) | −3.27296 | − | 0.577111i | −0.115285 | − | 0.0203279i | ||||
\(807\) | −45.7450 | + | 26.7648i | −1.61030 | + | 0.942166i | ||||
\(808\) | −2.99397 | + | 34.2212i | −0.105327 | + | 1.20390i | ||||
\(809\) | 21.1375 | 0.743156 | 0.371578 | − | 0.928402i | \(-0.378817\pi\) | ||||
0.371578 | + | 0.928402i | \(0.378817\pi\) | |||||||
\(810\) | −9.30454 | + | 18.8319i | −0.326928 | + | 0.661686i | ||||
\(811\) | −48.6371 | −1.70788 | −0.853940 | − | 0.520371i | \(-0.825794\pi\) | ||||
−0.853940 | + | 0.520371i | \(0.825794\pi\) | |||||||
\(812\) | 0.408252 | − | 4.66634i | 0.0143268 | − | 0.163756i | ||||
\(813\) | −7.79879 | + | 4.56297i | −0.273516 | + | 0.160030i | ||||
\(814\) | −19.8848 | − | 3.50622i | −0.696961 | − | 0.122893i | ||||
\(815\) | −4.18272 | + | 31.2706i | −0.146514 | + | 1.09536i | ||||
\(816\) | 3.06104 | + | 6.46651i | 0.107158 | + | 0.226373i | ||||
\(817\) | −14.5524 | + | 20.7829i | −0.509123 | + | 0.727103i | ||||
\(818\) | −7.70100 | + | 28.7405i | −0.269259 | + | 1.00489i | ||||
\(819\) | 0.766620 | + | 1.29305i | 0.0267879 | + | 0.0451829i | ||||
\(820\) | −1.87839 | + | 8.39066i | −0.0655963 | + | 0.293014i | ||||
\(821\) | 8.00089 | − | 21.9823i | 0.279233 | − | 0.767186i | −0.718217 | − | 0.695819i | \(-0.755042\pi\) |
0.997450 | − | 0.0713672i | \(-0.0227362\pi\) | |||||||
\(822\) | −8.83839 | + | 3.27492i | −0.308274 | + | 0.114226i | ||||
\(823\) | −3.34570 | + | 0.292711i | −0.116624 | + | 0.0102033i | −0.145318 | − | 0.989385i | \(-0.546421\pi\) |
0.0286943 | + | 0.999588i | \(0.490865\pi\) | |||||||
\(824\) | −11.4901 | − | 9.64136i | −0.400277 | − | 0.335873i | ||||
\(825\) | −15.0771 | − | 1.29412i | −0.524918 | − | 0.0450554i | ||||
\(826\) | −1.90760 | − | 0.694311i | −0.0663740 | − | 0.0241582i | ||||
\(827\) | −5.60974 | − | 20.9358i | −0.195070 | − | 0.728010i | −0.992249 | − | 0.124267i | \(-0.960342\pi\) |
0.797179 | − | 0.603743i | \(-0.206325\pi\) | |||||||
\(828\) | −1.66788 | + | 21.9905i | −0.0579628 | + | 0.764222i | ||||
\(829\) | 4.62453 | − | 2.66997i | 0.160617 | − | 0.0927320i | −0.417537 | − | 0.908660i | \(-0.637107\pi\) |
0.578154 | + | 0.815928i | \(0.303773\pi\) | |||||||
\(830\) | 1.92447 | + | 3.71562i | 0.0667992 | + | 0.128971i | ||||
\(831\) | 1.64535 | − | 20.1477i | 0.0570765 | − | 0.698916i | ||||
\(832\) | 4.96154 | + | 2.31360i | 0.172010 | + | 0.0802097i | ||||
\(833\) | 16.3449 | − | 11.4448i | 0.566317 | − | 0.396540i | ||||
\(834\) | −6.21143 | − | 22.6565i | −0.215084 | − | 0.784529i | ||||
\(835\) | 6.67360 | + | 30.4003i | 0.230949 | + | 1.05205i | ||||
\(836\) | 6.22428i | 0.215271i | ||||||||
\(837\) | −22.5986 | − | 3.58168i | −0.781120 | − | 0.123801i | ||||
\(838\) | −18.9757 | + | 18.9757i | −0.655504 | + | 0.655504i | ||||
\(839\) | −0.256169 | + | 0.214952i | −0.00884395 | + | 0.00742095i | −0.647199 | − | 0.762321i | \(-0.724060\pi\) |
0.638355 | + | 0.769742i | \(0.279615\pi\) | |||||||
\(840\) | −7.76656 | + | 2.48053i | −0.267972 | + | 0.0855864i | ||||
\(841\) | 4.53398 | − | 25.7135i | 0.156344 | − | 0.886673i | ||||
\(842\) | 5.65161 | − | 12.1199i | 0.194767 | − | 0.417680i | ||||
\(843\) | −4.25238 | − | 23.3268i | −0.146460 | − | 0.803417i | ||||
\(844\) | 15.0433 | − | 2.65254i | 0.517813 | − | 0.0913043i | ||||
\(845\) | 18.8913 | − | 20.5307i | 0.649880 | − | 0.706279i | ||||
\(846\) | −4.48528 | − | 11.8934i | −0.154207 | − | 0.408903i | ||||
\(847\) | 5.31901 | − | 1.42522i | 0.182763 | − | 0.0489713i | ||||
\(848\) | −4.76648 | − | 10.2217i | −0.163682 | − | 0.351016i | ||||
\(849\) | 12.5403 | − | 8.88936i | 0.430383 | − | 0.305082i | ||||
\(850\) | 1.45788 | − | 15.9050i | 0.0500047 | − | 0.545536i | ||||
\(851\) | 57.4510 | − | 68.4675i | 1.96940 | − | 2.34703i | ||||
\(852\) | 10.0301 | + | 1.70883i | 0.343625 | + | 0.0585435i | ||||
\(853\) | 15.6720 | − | 7.30797i | 0.536598 | − | 0.250220i | −0.135376 | − | 0.990794i | \(-0.543224\pi\) |
0.671974 | + | 0.740574i | \(0.265446\pi\) | |||||||
\(854\) | −2.36558 | + | 4.09731i | −0.0809486 | + | 0.140207i | ||||
\(855\) | −16.1720 | − | 20.6665i | −0.553072 | − | 0.706778i | ||||
\(856\) | 23.9540 | + | 41.4895i | 0.818731 | + | 1.41808i | ||||
\(857\) | −8.96957 | − | 6.28056i | −0.306395 | − | 0.214540i | 0.410259 | − | 0.911969i | \(-0.365438\pi\) |
−0.716654 | + | 0.697429i | \(0.754327\pi\) | |||||||
\(858\) | −2.24723 | + | 0.409660i | −0.0767190 | + | 0.0139856i | ||||
\(859\) | 9.19021 | + | 25.2499i | 0.313566 | + | 0.861515i | 0.991930 | + | 0.126789i | \(0.0404671\pi\) |
−0.678364 | + | 0.734726i | \(0.737311\pi\) | |||||||
\(860\) | −8.06069 | + | 10.4600i | −0.274867 | + | 0.356683i | ||||
\(861\) | −3.60456 | − | 3.56311i | −0.122843 | − | 0.121430i | ||||
\(862\) | −5.37383 | − | 0.470149i | −0.183033 | − | 0.0160133i | ||||
\(863\) | −14.0569 | − | 14.0569i | −0.478502 | − | 0.478502i | 0.426150 | − | 0.904652i | \(-0.359869\pi\) |
−0.904652 | + | 0.426150i | \(0.859869\pi\) | |||||||
\(864\) | 22.1534 | + | 9.86610i | 0.753674 | + | 0.335652i | ||||
\(865\) | −6.16346 | − | 3.22473i | −0.209564 | − | 0.109644i | ||||
\(866\) | −2.60873 | − | 3.10897i | −0.0886484 | − | 0.105647i | ||||
\(867\) | 6.54473 | − | 11.4887i | 0.222271 | − | 0.390178i | ||||
\(868\) | −1.59365 | − | 2.27597i | −0.0540921 | − | 0.0772515i | ||||
\(869\) | 2.67551 | − | 0.973806i | 0.0907605 | − | 0.0330341i | ||||
\(870\) | −29.2739 | + | 6.60399i | −0.992477 | + | 0.223896i | ||||
\(871\) | −1.40960 | − | 7.99422i | −0.0477623 | − | 0.270874i | ||||
\(872\) | −59.6132 | − | 15.9733i | −2.01876 | − | 0.540924i | ||||
\(873\) | −13.8639 | − | 1.05152i | −0.469223 | − | 0.0355884i | ||||
\(874\) | 28.5469 | + | 16.4815i | 0.965612 | + | 0.557496i | ||||
\(875\) | 7.55315 | + | 1.72377i | 0.255343 | + | 0.0582740i | ||||
\(876\) | 13.1460 | − | 1.22677i | 0.444161 | − | 0.0414486i | ||||
\(877\) | −2.71444 | − | 31.0262i | −0.0916602 | − | 1.04768i | −0.893176 | − | 0.449708i | \(-0.851528\pi\) |
0.801516 | − | 0.597974i | \(-0.204027\pi\) | |||||||
\(878\) | 2.92369 | + | 33.4180i | 0.0986699 | + | 1.12780i | ||||
\(879\) | 8.16495 | − | 17.7775i | 0.275397 | − | 0.599620i | ||||
\(880\) | 0.240932 | − | 5.26800i | 0.00812181 | − | 0.177584i | ||||
\(881\) | −10.7039 | − | 6.17988i | −0.360623 | − | 0.208206i | 0.308731 | − | 0.951149i | \(-0.400096\pi\) |
−0.669354 | + | 0.742944i | \(0.733429\pi\) | |||||||
\(882\) | −5.05544 | + | 19.7794i | −0.170225 | + | 0.666008i | ||||
\(883\) | 34.5714 | + | 9.26338i | 1.16342 | + | 0.311738i | 0.788331 | − | 0.615251i | \(-0.210945\pi\) |
0.375089 | + | 0.926989i | \(0.377612\pi\) | |||||||
\(884\) | 0.349925 | + | 1.98452i | 0.0117693 | + | 0.0667468i | ||||
\(885\) | 0.433840 | − | 10.8619i | 0.0145834 | − | 0.365119i | ||||
\(886\) | 15.0464 | − | 5.47645i | 0.505494 | − | 0.183985i | ||||
\(887\) | 1.34433 | + | 1.91991i | 0.0451383 | + | 0.0644642i | 0.841087 | − | 0.540900i | \(-0.181916\pi\) |
−0.795949 | + | 0.605364i | \(0.793027\pi\) | |||||||
\(888\) | −29.4184 | − | 50.2803i | −0.987215 | − | 1.68730i | ||||
\(889\) | −7.39472 | − | 8.81269i | −0.248011 | − | 0.295568i | ||||
\(890\) | −6.01856 | + | 11.5033i | −0.201742 | + | 0.385593i | ||||
\(891\) | −15.4200 | + | 3.08832i | −0.516590 | + | 0.103463i | ||||
\(892\) | −12.9392 | − | 12.9392i | −0.433236 | − | 0.433236i | ||||
\(893\) | 15.8196 | + | 1.38403i | 0.529382 | + | 0.0463149i | ||||
\(894\) | −5.20364 | + | 19.8794i | −0.174036 | + | 0.664866i | ||||
\(895\) | −1.45735 | − | 11.2496i | −0.0487138 | − | 0.376031i | ||||
\(896\) | 0.339458 | + | 0.932655i | 0.0113405 | + | 0.0311578i | ||||
\(897\) | 3.40326 | − | 9.52135i | 0.113632 | − | 0.317909i | ||||
\(898\) | 2.35671 | + | 1.65019i | 0.0786446 | + | 0.0550675i | ||||
\(899\) | −16.3445 | − | 28.3095i | −0.545120 | − | 0.944175i | ||||
\(900\) | −7.91718 | − | 11.1301i | −0.263906 | − | 0.371002i | ||||
\(901\) | 12.7870 | − | 22.1478i | 0.425997 | − | 0.737849i | ||||
\(902\) | 6.98019 | − | 3.25491i | 0.232415 | − | 0.108377i | ||||
\(903\) | −2.70460 | − | 7.29921i | −0.0900034 | − | 0.242902i | ||||
\(904\) | 0.238471 | − | 0.284198i | 0.00793142 | − | 0.00945230i | ||||
\(905\) | 19.2705 | + | 8.02887i | 0.640573 | + | 0.266889i | ||||
\(906\) | −1.52774 | − | 16.3711i | −0.0507556 | − | 0.543895i | ||||
\(907\) | 23.6471 | + | 50.7113i | 0.785188 | + | 1.68384i | 0.728099 | + | 0.685472i | \(0.240404\pi\) |
0.0570890 | + | 0.998369i | \(0.481818\pi\) | |||||||
\(908\) | −4.09944 | + | 1.09844i | −0.136045 | + | 0.0364530i | ||||
\(909\) | 11.2329 | − | 32.0093i | 0.372572 | − | 1.06168i | ||||
\(910\) | 1.16845 | − | 0.0485928i | 0.0387338 | − | 0.00161083i | ||||
\(911\) | −26.4465 | + | 4.66323i | −0.876211 | + | 0.154500i | −0.593625 | − | 0.804742i | \(-0.702304\pi\) |
−0.282587 | + | 0.959242i | \(0.591192\pi\) | |||||||
\(912\) | 6.97133 | − | 5.91868i | 0.230844 | − | 0.195987i | ||||
\(913\) | −1.32399 | + | 2.83930i | −0.0438176 | + | 0.0939671i | ||||
\(914\) | 6.21385 | − | 35.2405i | 0.205536 | − | 1.16565i | ||||
\(915\) | −24.7545 | − | 5.39159i | −0.818358 | − | 0.178240i | ||||
\(916\) | 16.9401 | − | 14.2144i | 0.559715 | − | 0.469657i | ||||
\(917\) | −11.0368 | + | 11.0368i | −0.364467 | + | 0.364467i | ||||
\(918\) | −3.16539 | − | 16.2936i | −0.104473 | − | 0.537768i | ||||
\(919\) | − | 30.8687i | − | 1.01826i | −0.860688 | − | 0.509132i | \(-0.829967\pi\) | ||
0.860688 | − | 0.509132i | \(-0.170033\pi\) | |||||||
\(920\) | 46.1911 | + | 29.5616i | 1.52288 | + | 0.974616i | ||||
\(921\) | −10.3900 | + | 10.5109i | −0.342362 | + | 0.346345i | ||||
\(922\) | 2.60193 | − | 1.82189i | 0.0856900 | − | 0.0600008i | ||||
\(923\) | −4.22786 | − | 1.97148i | −0.139162 | − | 0.0648921i | ||||
\(924\) | −1.57062 | − | 1.08628i | −0.0516696 | − | 0.0357360i | ||||
\(925\) | −0.229159 | + | 55.3548i | −0.00753471 | + | 1.82006i | ||||
\(926\) | 24.3463 | − | 14.0564i | 0.800070 | − | 0.461921i | ||||
\(927\) | 8.63559 | + | 12.0342i | 0.283630 | + | 0.395256i | ||||
\(928\) | 8.96728 | + | 33.4663i | 0.294365 | + | 1.09859i | ||||
\(929\) | 14.1178 | + | 5.13847i | 0.463191 | + | 0.168588i | 0.563065 | − | 0.826412i | \(-0.309622\pi\) |
−0.0998747 | + | 0.995000i | \(0.531844\pi\) | |||||||
\(930\) | −10.7837 | + | 14.1621i | −0.353611 | + | 0.464394i | ||||
\(931\) | −19.5380 | − | 16.3943i | −0.640331 | − | 0.537301i | ||||
\(932\) | 6.42512 | − | 0.562125i | 0.210462 | − | 0.0184130i | ||||
\(933\) | −4.25659 | + | 24.9843i | −0.139354 | + | 0.817950i | ||||
\(934\) | −6.14270 | + | 16.8769i | −0.200995 | + | 0.552230i | ||||
\(935\) | 10.0983 | − | 6.40400i | 0.330251 | − | 0.209433i | ||||
\(936\) | −5.09710 | − | 4.17748i | −0.166604 | − | 0.136545i | ||||
\(937\) | −12.0470 | + | 44.9601i | −0.393559 | + | 1.46878i | 0.430660 | + | 0.902514i | \(0.358281\pi\) |
−0.824220 | + | 0.566270i | \(0.808386\pi\) | |||||||
\(938\) | −4.65700 | + | 6.65089i | −0.152057 | + | 0.217159i | ||||
\(939\) | −9.18797 | + | 13.2846i | −0.299838 | + | 0.433528i | ||||
\(940\) | 8.19246 | + | 1.09581i | 0.267208 | + | 0.0357415i | ||||
\(941\) | −13.0261 | − | 2.29686i | −0.424640 | − | 0.0748755i | −0.0427555 | − | 0.999086i | \(-0.513614\pi\) |
−0.381884 | + | 0.924210i | \(0.624725\pi\) | |||||||
\(942\) | 0.0350033 | + | 6.05277i | 0.00114047 | + | 0.197210i | ||||
\(943\) | −2.97131 | + | 33.9623i | −0.0967593 | + | 1.10596i | ||||
\(944\) | 3.78825 | 0.123297 | ||||||||
\(945\) | 8.03732 | − | 0.474045i | 0.261454 | − | 0.0154207i | ||||
\(946\) | 11.8286 | 0.384581 | ||||||||
\(947\) | 2.93767 | − | 33.5777i | 0.0954614 | − | 1.09113i | −0.785794 | − | 0.618488i | \(-0.787745\pi\) |
0.881255 | − | 0.472640i | \(-0.156699\pi\) | |||||||
\(948\) | 2.23300 | + | 1.27206i | 0.0725244 | + | 0.0413146i | ||||
\(949\) | −5.96147 | − | 1.05117i | −0.193517 | − | 0.0341223i | ||||
\(950\) | −20.1197 | + | 3.46183i | −0.652769 | + | 0.112316i | ||||
\(951\) | 40.7875 | + | 3.33089i | 1.32263 | + | 0.108011i | ||||
\(952\) | 3.69529 | − | 5.27742i | 0.119765 | − | 0.171042i | ||||
\(953\) | 10.1544 | − | 37.8969i | 0.328935 | − | 1.22760i | −0.581362 | − | 0.813645i | \(-0.697480\pi\) |
0.910297 | − | 0.413956i | \(-0.135853\pi\) | |||||||
\(954\) | 4.84139 | + | 25.7141i | 0.156746 | + | 0.832526i | ||||
\(955\) | −2.47651 | − | 0.554410i | −0.0801381 | − | 0.0179403i | ||||
\(956\) | −3.61686 | + | 9.93723i | −0.116977 | + | 0.321393i | ||||
\(957\) | −17.2945 | − | 14.3422i | −0.559051 | − | 0.463617i | ||||
\(958\) | 36.1609 | − | 3.16367i | 1.16830 | − | 0.102213i | ||||
\(959\) | 2.76760 | + | 2.32229i | 0.0893705 | + | 0.0749908i | ||||
\(960\) | 23.1956 | − | 17.9358i | 0.748634 | − | 0.578876i | ||||
\(961\) | 10.9101 | + | 3.97094i | 0.351938 | + | 0.128095i | ||||
\(962\) | 2.16266 | + | 8.07116i | 0.0697270 | + | 0.260225i | ||||
\(963\) | −12.7724 | − | 45.5532i | −0.411585 | − | 1.46793i | ||||
\(964\) | 8.25932 | − | 4.76852i | 0.266015 | − | 0.153584i | ||||
\(965\) | 29.3758 | + | 9.32904i | 0.945639 | + | 0.300312i | ||||
\(966\) | −9.14099 | + | 4.32704i | −0.294106 | + | 0.139220i | ||||
\(967\) | −23.1190 | − | 10.7806i | −0.743457 | − | 0.346680i | 0.0137056 | − | 0.999906i | \(-0.495637\pi\) |
−0.757163 | + | 0.653226i | \(0.773415\pi\) | |||||||
\(968\) | −19.7756 | + | 13.8471i | −0.635613 | + | 0.445061i | ||||
\(969\) | 20.0604 | + | 5.25103i | 0.644434 | + | 0.168687i | ||||
\(970\) | −5.83066 | + | 9.11063i | −0.187211 | + | 0.292525i | ||||
\(971\) | 23.0327i | 0.739156i | 0.929200 | + | 0.369578i | \(0.120498\pi\) | ||||
−0.929200 | + | 0.369578i | \(0.879502\pi\) | |||||||
\(972\) | −11.1329 | − | 8.80589i | −0.357087 | − | 0.282449i | ||||
\(973\) | −6.36728 | + | 6.36728i | −0.204126 | + | 0.204126i | ||||
\(974\) | 11.5013 | − | 9.65070i | 0.368524 | − | 0.309228i | ||||
\(975\) | 2.15151 | + | 5.88114i | 0.0689034 | + | 0.188347i | ||||
\(976\) | 1.53312 | − | 8.69473i | 0.0490738 | − | 0.278312i | ||||
\(977\) | 0.117212 | − | 0.251362i | 0.00374994 | − | 0.00804177i | −0.904424 | − | 0.426635i | \(-0.859699\pi\) |
0.908174 | + | 0.418593i | \(0.137477\pi\) | |||||||
\(978\) | 24.0188 | + | 8.58517i | 0.768038 | + | 0.274523i | ||||
\(979\) | −9.57227 | + | 1.68785i | −0.305931 | + | 0.0539439i | ||||
\(980\) | −9.76888 | − | 8.98880i | −0.312055 | − | 0.287137i | ||||
\(981\) | 53.1294 | + | 29.8603i | 1.69629 | + | 0.953367i | ||||
\(982\) | −29.6844 | + | 7.95391i | −0.947268 | + | 0.253820i | ||||
\(983\) | −3.52521 | − | 7.55984i | −0.112437 | − | 0.241122i | 0.842035 | − | 0.539423i | \(-0.181358\pi\) |
−0.954472 | + | 0.298302i | \(0.903580\pi\) | |||||||
\(984\) | 20.1924 | + | 9.27408i | 0.643709 | + | 0.295647i | ||||
\(985\) | −4.13801 | + | 1.70399i | −0.131848 | + | 0.0542937i | ||||
\(986\) | 15.2427 | − | 18.1656i | 0.485427 | − | 0.578510i | ||||
\(987\) | −3.11012 | + | 3.75033i | −0.0989963 | + | 0.119374i | ||||
\(988\) | 2.33447 | − | 1.08858i | 0.0742694 | − | 0.0346324i | ||||
\(989\) | −26.1797 | + | 45.3445i | −0.832465 | + | 1.44187i | ||||
\(990\) | −3.56802 | + | 11.7027i | −0.113399 | + | 0.371935i | ||||
\(991\) | −3.48806 | − | 6.04150i | −0.110802 | − | 0.191914i | 0.805292 | − | 0.592878i | \(-0.202009\pi\) |
−0.916094 | + | 0.400964i | \(0.868675\pi\) | |||||||
\(992\) | 16.8345 | + | 11.7876i | 0.534494 | + | 0.374257i | ||||
\(993\) | 25.9271 | + | 30.5383i | 0.822773 | + | 0.969105i | ||||
\(994\) | 1.59583 | + | 4.38451i | 0.0506167 | + | 0.139068i | ||||
\(995\) | 40.9770 | − | 5.30846i | 1.29906 | − | 0.168290i | ||||
\(996\) | −2.72706 | + | 0.747643i | −0.0864103 | + | 0.0236900i | ||||
\(997\) | 54.9810 | + | 4.81022i | 1.74127 | + | 0.152341i | 0.912991 | − | 0.407980i | \(-0.133767\pi\) |
0.828276 | + | 0.560321i | \(0.189322\pi\) | |||||||
\(998\) | −13.0450 | − | 13.0450i | −0.412933 | − | 0.412933i | ||||
\(999\) | 15.8508 | + | 55.3001i | 0.501497 | + | 1.74962i |
(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 | 135.2.q.a.32.6 | ✓ | 192 | |
3.2 | odd | 2 | 405.2.r.a.287.11 | 192 | |||
5.2 | odd | 4 | 675.2.ba.b.518.6 | 192 | |||
5.3 | odd | 4 | inner | 135.2.q.a.113.11 | yes | 192 | |
5.4 | even | 2 | 675.2.ba.b.32.11 | 192 | |||
15.8 | even | 4 | 405.2.r.a.368.6 | 192 | |||
27.11 | odd | 18 | inner | 135.2.q.a.92.11 | yes | 192 | |
27.16 | even | 9 | 405.2.r.a.197.6 | 192 | |||
135.38 | even | 36 | inner | 135.2.q.a.38.6 | yes | 192 | |
135.43 | odd | 36 | 405.2.r.a.278.11 | 192 | |||
135.92 | even | 36 | 675.2.ba.b.443.11 | 192 | |||
135.119 | odd | 18 | 675.2.ba.b.632.6 | 192 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
135.2.q.a.32.6 | ✓ | 192 | 1.1 | even | 1 | trivial | |
135.2.q.a.38.6 | yes | 192 | 135.38 | even | 36 | inner | |
135.2.q.a.92.11 | yes | 192 | 27.11 | odd | 18 | inner | |
135.2.q.a.113.11 | yes | 192 | 5.3 | odd | 4 | inner | |
405.2.r.a.197.6 | 192 | 27.16 | even | 9 | |||
405.2.r.a.278.11 | 192 | 135.43 | odd | 36 | |||
405.2.r.a.287.11 | 192 | 3.2 | odd | 2 | |||
405.2.r.a.368.6 | 192 | 15.8 | even | 4 | |||
675.2.ba.b.32.11 | 192 | 5.4 | even | 2 | |||
675.2.ba.b.443.11 | 192 | 135.92 | even | 36 | |||
675.2.ba.b.518.6 | 192 | 5.2 | odd | 4 | |||
675.2.ba.b.632.6 | 192 | 135.119 | odd | 18 |