Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [315,2,Mod(52,315)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(315, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([8, 3, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("315.52");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 315 = 3^{2} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 315.bs (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.51528766367\) |
Analytic rank: | \(0\) |
Dimension: | \(160\) |
Relative dimension: | \(40\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 52.3 | ||
Character | \(\chi\) | \(=\) | 315.52 |
Dual form | 315.2.bs.e.103.3 |
$q$-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 \(\left(\mathbb{Z}/315\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(136\) | \(281\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.82176 | − | 1.82176i | −1.28818 | − | 1.28818i | −0.935894 | − | 0.352283i | \(-0.885406\pi\) |
−0.352283 | − | 0.935894i | \(-0.614594\pi\) | |||||||
\(3\) | −0.791575 | + | 1.54059i | −0.457016 | + | 0.889458i | ||||
\(4\) | 4.63759i | 2.31880i | ||||||||
\(5\) | 1.54912 | − | 1.61252i | 0.692788 | − | 0.721141i | ||||
\(6\) | 4.24863 | − | 1.36452i | 1.73450 | − | 0.557061i | ||||
\(7\) | −2.63707 | − | 0.214125i | −0.996720 | − | 0.0809316i | ||||
\(8\) | 4.80505 | − | 4.80505i | 1.69884 | − | 1.69884i | ||||
\(9\) | −1.74682 | − | 2.43898i | −0.582272 | − | 0.812994i | ||||
\(10\) | −5.75974 | + | 0.115499i | −1.82139 | + | 0.0365239i | ||||
\(11\) | 1.28126 | + | 2.21920i | 0.386313 | + | 0.669115i | 0.991950 | − | 0.126626i | \(-0.0404150\pi\) |
−0.605637 | + | 0.795741i | \(0.707082\pi\) | |||||||
\(12\) | −7.14461 | − | 3.67100i | −2.06247 | − | 1.05973i | ||||
\(13\) | −0.375762 | + | 1.40236i | −0.104218 | + | 0.388945i | −0.998255 | − | 0.0590465i | \(-0.981194\pi\) |
0.894038 | + | 0.447992i | \(0.147861\pi\) | |||||||
\(14\) | 4.41402 | + | 5.19419i | 1.17970 | + | 1.38820i | ||||
\(15\) | 1.25798 | + | 3.66299i | 0.324810 | + | 0.945779i | ||||
\(16\) | −8.23207 | −2.05802 | ||||||||
\(17\) | −0.0379711 | − | 0.141710i | −0.00920934 | − | 0.0343697i | 0.961168 | − | 0.275963i | \(-0.0889967\pi\) |
−0.970378 | + | 0.241593i | \(0.922330\pi\) | |||||||
\(18\) | −1.26096 | + | 7.62550i | −0.297210 | + | 1.79735i | ||||
\(19\) | 3.63389 | + | 6.29409i | 0.833672 | + | 1.44396i | 0.895107 | + | 0.445852i | \(0.147099\pi\) |
−0.0614345 | + | 0.998111i | \(0.519568\pi\) | |||||||
\(20\) | 7.47821 | + | 7.18419i | 1.67218 | + | 1.60643i | ||||
\(21\) | 2.41732 | − | 3.89314i | 0.527502 | − | 0.849554i | ||||
\(22\) | 1.70871 | − | 6.37698i | 0.364298 | − | 1.35958i | ||||
\(23\) | 1.35421 | + | 5.05398i | 0.282372 | + | 1.05383i | 0.950738 | + | 0.309995i | \(0.100327\pi\) |
−0.668366 | + | 0.743832i | \(0.733006\pi\) | |||||||
\(24\) | 3.59904 | + | 11.2062i | 0.734650 | + | 2.28745i | ||||
\(25\) | −0.200447 | − | 4.99598i | −0.0400893 | − | 0.999196i | ||||
\(26\) | 3.23931 | − | 1.87022i | 0.635281 | − | 0.366780i | ||||
\(27\) | 5.14020 | − | 0.760485i | 0.989232 | − | 0.146355i | ||||
\(28\) | 0.993023 | − | 12.2297i | 0.187664 | − | 2.31119i | ||||
\(29\) | 2.96958 | + | 1.71449i | 0.551438 | + | 0.318373i | 0.749702 | − | 0.661776i | \(-0.230197\pi\) |
−0.198264 | + | 0.980149i | \(0.563530\pi\) | |||||||
\(30\) | 4.38133 | − | 8.96481i | 0.799919 | − | 1.63674i | ||||
\(31\) | 3.22245i | 0.578769i | 0.957213 | + | 0.289385i | \(0.0934506\pi\) | ||||
−0.957213 | + | 0.289385i | \(0.906549\pi\) | |||||||
\(32\) | 5.38673 | + | 5.38673i | 0.952249 | + | 0.952249i | ||||
\(33\) | −4.43309 | + | 0.217222i | −0.771701 | + | 0.0378135i | ||||
\(34\) | −0.188987 | + | 0.327335i | −0.0324110 | + | 0.0561375i | ||||
\(35\) | −4.43043 | + | 3.92063i | −0.748879 | + | 0.662707i | ||||
\(36\) | 11.3110 | − | 8.10102i | 1.88517 | − | 1.35017i | ||||
\(37\) | −2.35984 | + | 8.80704i | −0.387955 | + | 1.44787i | 0.445501 | + | 0.895282i | \(0.353026\pi\) |
−0.833456 | + | 0.552586i | \(0.813641\pi\) | |||||||
\(38\) | 4.84623 | − | 18.0864i | 0.786162 | − | 2.93400i | ||||
\(39\) | −1.86302 | − | 1.68897i | −0.298322 | − | 0.270452i | ||||
\(40\) | −0.304638 | − | 15.1918i | −0.0481675 | − | 2.40204i | ||||
\(41\) | 0.289625 | − | 0.167215i | 0.0452319 | − | 0.0261146i | −0.477214 | − | 0.878787i | \(-0.658353\pi\) |
0.522445 | + | 0.852673i | \(0.325020\pi\) | |||||||
\(42\) | −11.4961 | + | 2.68859i | −1.77389 | + | 0.414859i | ||||
\(43\) | 0.771799 | + | 2.88039i | 0.117698 | + | 0.439256i | 0.999475 | − | 0.0324120i | \(-0.0103189\pi\) |
−0.881776 | + | 0.471668i | \(0.843652\pi\) | |||||||
\(44\) | −10.2918 | + | 5.94195i | −1.55154 | + | 0.895782i | ||||
\(45\) | −6.63894 | − | 0.961501i | −0.989675 | − | 0.143332i | ||||
\(46\) | 6.74007 | − | 11.6742i | 0.993770 | − | 1.72126i | ||||
\(47\) | 8.77965 | − | 8.77965i | 1.28064 | − | 1.28064i | 0.340341 | − | 0.940302i | \(-0.389457\pi\) |
0.940302 | − | 0.340341i | \(-0.110543\pi\) | |||||||
\(48\) | 6.51631 | − | 12.6822i | 0.940548 | − | 1.83052i | ||||
\(49\) | 6.90830 | + | 1.12933i | 0.986900 | + | 0.161332i | ||||
\(50\) | −8.73629 | + | 9.46662i | −1.23550 | + | 1.33878i | ||||
\(51\) | 0.248374 | + | 0.0536764i | 0.0347793 | + | 0.00751620i | ||||
\(52\) | −6.50359 | − | 1.74263i | −0.901885 | − | 0.241659i | ||||
\(53\) | 0.646434 | + | 2.41253i | 0.0887946 | + | 0.331386i | 0.996006 | − | 0.0892898i | \(-0.0284597\pi\) |
−0.907211 | + | 0.420676i | \(0.861793\pi\) | |||||||
\(54\) | −10.7496 | − | 7.97878i | −1.46284 | − | 1.08577i | ||||
\(55\) | 5.56333 | + | 1.37176i | 0.750159 | + | 0.184968i | ||||
\(56\) | −13.7001 | + | 11.6424i | −1.83076 | + | 1.55578i | ||||
\(57\) | −12.5731 | + | 0.616083i | −1.66535 | + | 0.0816022i | ||||
\(58\) | −2.28648 | − | 8.53324i | −0.300229 | − | 1.12047i | ||||
\(59\) | 1.82652 | 0.237793 | 0.118896 | − | 0.992907i | \(-0.462064\pi\) | ||||
0.118896 | + | 0.992907i | \(0.462064\pi\) | |||||||
\(60\) | −16.9874 | + | 5.83401i | −2.19307 | + | 0.753167i | ||||
\(61\) | 7.76783i | 0.994568i | 0.867588 | + | 0.497284i | \(0.165669\pi\) | ||||
−0.867588 | + | 0.497284i | \(0.834331\pi\) | |||||||
\(62\) | 5.87052 | − | 5.87052i | 0.745557 | − | 0.745557i | ||||
\(63\) | 4.08424 | + | 6.80581i | 0.514565 | + | 0.857451i | ||||
\(64\) | − | 3.16249i | − | 0.395311i | ||||||
\(65\) | 1.67924 | + | 2.77835i | 0.208284 | + | 0.344612i | ||||
\(66\) | 8.47173 | + | 7.68028i | 1.04280 | + | 0.945377i | ||||
\(67\) | 8.14325 | + | 8.14325i | 0.994856 | + | 0.994856i | 0.999987 | − | 0.00513097i | \(-0.00163325\pi\) |
−0.00513097 | + | 0.999987i | \(0.501633\pi\) | |||||||
\(68\) | 0.657193 | − | 0.176094i | 0.0796964 | − | 0.0213546i | ||||
\(69\) | −8.85805 | − | 1.91433i | −1.06638 | − | 0.230458i | ||||
\(70\) | 15.2136 | + | 0.928725i | 1.81837 | + | 0.111004i | ||||
\(71\) | −11.2475 | −1.33483 | −0.667414 | − | 0.744687i | \(-0.732599\pi\) | ||||
−0.667414 | + | 0.744687i | \(0.732599\pi\) | |||||||
\(72\) | −20.1130 | − | 3.32589i | −2.37034 | − | 0.391960i | ||||
\(73\) | −4.37146 | + | 1.17133i | −0.511640 | + | 0.137094i | −0.505397 | − | 0.862887i | \(-0.668654\pi\) |
−0.00624317 | + | 0.999981i | \(0.501987\pi\) | |||||||
\(74\) | 20.3433 | − | 11.7452i | 2.36486 | − | 1.36535i | ||||
\(75\) | 7.85541 | + | 3.64589i | 0.907065 | + | 0.420991i | ||||
\(76\) | −29.1894 | + | 16.8525i | −3.34826 | + | 1.93312i | ||||
\(77\) | −2.90358 | − | 6.12654i | −0.330894 | − | 0.698185i | ||||
\(78\) | 0.317073 | + | 6.47086i | 0.0359014 | + | 0.732680i | ||||
\(79\) | − | 6.92658i | − | 0.779301i | −0.920963 | − | 0.389651i | \(-0.872596\pi\) | ||
0.920963 | − | 0.389651i | \(-0.127404\pi\) | |||||||
\(80\) | −12.7525 | + | 13.2744i | −1.42577 | + | 1.48412i | ||||
\(81\) | −2.89726 | + | 8.52091i | −0.321918 | + | 0.946767i | ||||
\(82\) | −0.832252 | − | 0.223001i | −0.0919069 | − | 0.0246264i | ||||
\(83\) | −12.0976 | + | 3.24155i | −1.32789 | + | 0.355807i | −0.851928 | − | 0.523659i | \(-0.824566\pi\) |
−0.475961 | + | 0.879466i | \(0.657900\pi\) | |||||||
\(84\) | 18.0548 | + | 11.2105i | 1.96994 | + | 1.22317i | ||||
\(85\) | −0.287332 | − | 0.158297i | −0.0311655 | − | 0.0171697i | ||||
\(86\) | 3.84134 | − | 6.65340i | 0.414223 | − | 0.717455i | ||||
\(87\) | −4.99197 | + | 3.21775i | −0.535196 | + | 0.344979i | ||||
\(88\) | 16.8199 | + | 4.50687i | 1.79300 | + | 0.480434i | ||||
\(89\) | −7.14879 | − | 12.3821i | −0.757770 | − | 1.31250i | −0.943985 | − | 0.329988i | \(-0.892955\pi\) |
0.186215 | − | 0.982509i | \(-0.440378\pi\) | |||||||
\(90\) | 10.3429 | + | 13.8461i | 1.09024 | + | 1.45951i | ||||
\(91\) | 1.29119 | − | 3.61767i | 0.135354 | − | 0.379235i | ||||
\(92\) | −23.4383 | + | 6.28027i | −2.44361 | + | 0.654763i | ||||
\(93\) | −4.96446 | − | 2.55081i | −0.514791 | − | 0.264507i | ||||
\(94\) | −31.9888 | −3.29939 | ||||||||
\(95\) | 15.7787 | + | 3.89058i | 1.61886 | + | 0.399165i | ||||
\(96\) | −12.5627 | + | 4.03473i | −1.28218 | + | 0.411792i | ||||
\(97\) | −2.75946 | − | 10.2985i | −0.280181 | − | 1.04565i | −0.952289 | − | 0.305197i | \(-0.901278\pi\) |
0.672108 | − | 0.740453i | \(-0.265389\pi\) | |||||||
\(98\) | −10.5279 | − | 14.6426i | −1.06348 | − | 1.47913i | ||||
\(99\) | 3.17447 | − | 7.00150i | 0.319046 | − | 0.703677i | ||||
\(100\) | 23.1693 | − | 0.929590i | 2.31693 | − | 0.0929590i | ||||
\(101\) | 5.85110 | − | 3.37813i | 0.582206 | − | 0.336137i | −0.179803 | − | 0.983703i | \(-0.557546\pi\) |
0.762010 | + | 0.647566i | \(0.224213\pi\) | |||||||
\(102\) | −0.354691 | − | 0.550261i | −0.0351196 | − | 0.0544840i | ||||
\(103\) | −1.38447 | + | 0.370967i | −0.136416 | + | 0.0365525i | −0.326381 | − | 0.945238i | \(-0.605829\pi\) |
0.189965 | + | 0.981791i | \(0.439163\pi\) | |||||||
\(104\) | 4.93287 | + | 8.54398i | 0.483707 | + | 0.837806i | ||||
\(105\) | −2.53305 | − | 9.92893i | −0.247201 | − | 0.968964i | ||||
\(106\) | 3.21739 | − | 5.57268i | 0.312500 | − | 0.541266i | ||||
\(107\) | −2.05065 | + | 7.65311i | −0.198243 | + | 0.739854i | 0.793160 | + | 0.609013i | \(0.208434\pi\) |
−0.991403 | + | 0.130841i | \(0.958232\pi\) | |||||||
\(108\) | 3.52682 | + | 23.8382i | 0.339368 | + | 2.29383i | ||||
\(109\) | −8.38515 | − | 4.84117i | −0.803152 | − | 0.463700i | 0.0414203 | − | 0.999142i | \(-0.486812\pi\) |
−0.844572 | + | 0.535442i | \(0.820145\pi\) | |||||||
\(110\) | −7.63602 | − | 12.6340i | −0.728066 | − | 1.20461i | ||||
\(111\) | −11.7000 | − | 10.6070i | −1.11052 | − | 1.00677i | ||||
\(112\) | 21.7086 | + | 1.76269i | 2.05127 | + | 0.166559i | ||||
\(113\) | 16.8492 | + | 4.51472i | 1.58504 | + | 0.424709i | 0.940480 | − | 0.339848i | \(-0.110376\pi\) |
0.644556 | + | 0.764557i | \(0.277042\pi\) | |||||||
\(114\) | 24.0275 | + | 21.7828i | 2.25038 | + | 2.04014i | ||||
\(115\) | 10.2475 | + | 5.64553i | 0.955582 | + | 0.526449i | ||||
\(116\) | −7.95111 | + | 13.7717i | −0.738242 | + | 1.27867i | ||||
\(117\) | 4.07672 | − | 1.53319i | 0.376893 | − | 0.141744i | ||||
\(118\) | −3.32748 | − | 3.32748i | −0.306319 | − | 0.306319i | ||||
\(119\) | 0.0697889 | + | 0.381830i | 0.00639753 | + | 0.0350023i | ||||
\(120\) | 23.6455 | + | 11.5562i | 2.15853 | + | 1.05493i | ||||
\(121\) | 2.21676 | − | 3.83954i | 0.201524 | − | 0.349049i | ||||
\(122\) | 14.1511 | − | 14.1511i | 1.28118 | − | 1.28118i | ||||
\(123\) | 0.0283493 | + | 0.578557i | 0.00255617 | + | 0.0521667i | ||||
\(124\) | −14.9444 | −1.34205 | ||||||||
\(125\) | −8.36664 | − | 7.41615i | −0.748335 | − | 0.663321i | ||||
\(126\) | 4.95804 | − | 19.8390i | 0.441698 | − | 1.76740i | ||||
\(127\) | −1.13024 | − | 1.13024i | −0.100293 | − | 0.100293i | 0.655180 | − | 0.755473i | \(-0.272593\pi\) |
−0.755473 | + | 0.655180i | \(0.772593\pi\) | |||||||
\(128\) | 5.01219 | − | 5.01219i | 0.443019 | − | 0.443019i | ||||
\(129\) | −5.04843 | − | 1.09102i | −0.444490 | − | 0.0960594i | ||||
\(130\) | 2.00232 | − | 8.12065i | 0.175615 | − | 0.712228i | ||||
\(131\) | −14.5560 | − | 8.40393i | −1.27177 | − | 0.734255i | −0.296447 | − | 0.955049i | \(-0.595802\pi\) |
−0.975320 | + | 0.220794i | \(0.929135\pi\) | |||||||
\(132\) | −1.00739 | − | 20.5588i | −0.0876817 | − | 1.78942i | ||||
\(133\) | −8.23512 | − | 17.3761i | −0.714075 | − | 1.50670i | ||||
\(134\) | − | 29.6700i | − | 2.56310i | ||||||
\(135\) | 6.73650 | − | 9.46676i | 0.579785 | − | 0.814769i | ||||
\(136\) | −0.863376 | − | 0.498471i | −0.0740339 | − | 0.0427435i | ||||
\(137\) | −0.934906 | + | 3.48912i | −0.0798744 | + | 0.298096i | −0.994294 | − | 0.106671i | \(-0.965981\pi\) |
0.914420 | + | 0.404767i | \(0.132647\pi\) | |||||||
\(138\) | 12.6498 | + | 19.6246i | 1.07682 | + | 1.67056i | ||||
\(139\) | −2.86913 | − | 4.96948i | −0.243356 | − | 0.421505i | 0.718312 | − | 0.695721i | \(-0.244915\pi\) |
−0.961668 | + | 0.274216i | \(0.911582\pi\) | |||||||
\(140\) | −18.1823 | − | 20.5465i | −1.53668 | − | 1.73650i | ||||
\(141\) | 6.57606 | + | 20.4756i | 0.553804 | + | 1.72435i | ||||
\(142\) | 20.4901 | + | 20.4901i | 1.71949 | + | 1.71949i | ||||
\(143\) | −3.59357 | + | 0.962895i | −0.300510 | + | 0.0805213i | ||||
\(144\) | 14.3799 | + | 20.0779i | 1.19833 | + | 1.67316i | ||||
\(145\) | 7.36490 | − | 2.13256i | 0.611621 | − | 0.177100i | ||||
\(146\) | 10.0976 | + | 5.82985i | 0.835683 | + | 0.482482i | ||||
\(147\) | −7.20827 | + | 9.74889i | −0.594528 | + | 0.804075i | ||||
\(148\) | −40.8434 | − | 10.9440i | −3.35731 | − | 0.899589i | ||||
\(149\) | −7.36490 | − | 4.25213i | −0.603356 | − | 0.348348i | 0.167005 | − | 0.985956i | \(-0.446591\pi\) |
−0.770361 | + | 0.637608i | \(0.779924\pi\) | |||||||
\(150\) | −7.66872 | − | 20.9526i | −0.626149 | − | 1.71077i | ||||
\(151\) | 1.86665 | + | 3.23314i | 0.151906 | + | 0.263109i | 0.931928 | − | 0.362643i | \(-0.118126\pi\) |
−0.780022 | + | 0.625752i | \(0.784792\pi\) | |||||||
\(152\) | 47.7044 | + | 12.7824i | 3.86934 | + | 1.03679i | ||||
\(153\) | −0.279300 | + | 0.340152i | −0.0225800 | + | 0.0274997i | ||||
\(154\) | −5.87145 | + | 16.4507i | −0.473135 | + | 1.32563i | ||||
\(155\) | 5.19627 | + | 4.99197i | 0.417374 | + | 0.400964i | ||||
\(156\) | 7.83275 | − | 8.63992i | 0.627122 | − | 0.691747i | ||||
\(157\) | 6.86480 | − | 6.86480i | 0.547871 | − | 0.547871i | −0.377954 | − | 0.925825i | \(-0.623372\pi\) |
0.925825 | + | 0.377954i | \(0.123372\pi\) | |||||||
\(158\) | −12.6185 | + | 12.6185i | −1.00388 | + | 1.00388i | ||||
\(159\) | −4.22841 | − | 0.913808i | −0.335334 | − | 0.0724697i | ||||
\(160\) | 17.0309 | − | 0.341517i | 1.34641 | − | 0.0269993i | ||||
\(161\) | −2.48897 | − | 13.6177i | −0.196158 | − | 1.07322i | ||||
\(162\) | 20.8011 | − | 10.2449i | 1.63429 | − | 0.804916i | ||||
\(163\) | 22.3747 | + | 5.99528i | 1.75252 | + | 0.469586i | 0.985161 | − | 0.171631i | \(-0.0549037\pi\) |
0.767359 | + | 0.641217i | \(0.221570\pi\) | |||||||
\(164\) | 0.775476 | + | 1.34316i | 0.0605545 | + | 0.104883i | ||||
\(165\) | −6.51711 | + | 7.48494i | −0.507356 | + | 0.582702i | ||||
\(166\) | 27.9443 | + | 16.1336i | 2.16890 | + | 1.25221i | ||||
\(167\) | −10.8200 | − | 2.89921i | −0.837275 | − | 0.224347i | −0.185390 | − | 0.982665i | \(-0.559355\pi\) |
−0.651885 | + | 0.758318i | \(0.726022\pi\) | |||||||
\(168\) | −7.09141 | − | 30.3221i | −0.547114 | − | 2.33940i | ||||
\(169\) | 9.43291 | + | 5.44609i | 0.725608 | + | 0.418930i | ||||
\(170\) | 0.235071 | + | 0.811827i | 0.0180291 | + | 0.0622643i | ||||
\(171\) | 9.00342 | − | 19.8576i | 0.688509 | − | 1.51855i | ||||
\(172\) | −13.3581 | + | 3.57929i | −1.01854 | + | 0.272918i | ||||
\(173\) | 5.62148 | + | 5.62148i | 0.427394 | + | 0.427394i | 0.887740 | − | 0.460346i | \(-0.152275\pi\) |
−0.460346 | + | 0.887740i | \(0.652275\pi\) | |||||||
\(174\) | 14.9561 | + | 3.23219i | 1.13382 | + | 0.245032i | ||||
\(175\) | −0.541171 | + | 13.2177i | −0.0409087 | + | 0.999163i | ||||
\(176\) | −10.5474 | − | 18.2686i | −0.795040 | − | 1.37705i | ||||
\(177\) | −1.44583 | + | 2.81392i | −0.108675 | + | 0.211507i | ||||
\(178\) | −9.53376 | + | 35.5805i | −0.714585 | + | 2.66687i | ||||
\(179\) | 10.1238 | + | 5.84499i | 0.756690 | + | 0.436875i | 0.828106 | − | 0.560572i | \(-0.189419\pi\) |
−0.0714164 | + | 0.997447i | \(0.522752\pi\) | |||||||
\(180\) | 4.45905 | − | 30.7887i | 0.332358 | − | 2.29485i | ||||
\(181\) | 9.65538i | 0.717678i | 0.933399 | + | 0.358839i | \(0.116827\pi\) | ||||
−0.933399 | + | 0.358839i | \(0.883173\pi\) | |||||||
\(182\) | −8.94275 | + | 4.23828i | −0.662881 | + | 0.314162i | ||||
\(183\) | −11.9670 | − | 6.14882i | −0.884627 | − | 0.454534i | ||||
\(184\) | 30.7916 | + | 17.7776i | 2.26999 | + | 1.31058i | ||||
\(185\) | 10.5459 | + | 17.4485i | 0.775347 | + | 1.28284i | ||||
\(186\) | 4.39709 | + | 13.6910i | 0.322410 | + | 1.00387i | ||||
\(187\) | 0.265832 | − | 0.265832i | 0.0194396 | − | 0.0194396i | ||||
\(188\) | 40.7164 | + | 40.7164i | 2.96955 | + | 2.96955i | ||||
\(189\) | −13.7179 | + | 0.904809i | −0.997832 | + | 0.0658151i | ||||
\(190\) | −21.6572 | − | 35.8326i | −1.57118 | − | 2.59957i | ||||
\(191\) | −8.86643 | −0.641552 | −0.320776 | − | 0.947155i | \(-0.603944\pi\) | ||||
−0.320776 | + | 0.947155i | \(0.603944\pi\) | |||||||
\(192\) | 4.87208 | + | 2.50335i | 0.351612 | + | 0.180663i | ||||
\(193\) | −7.90064 | + | 7.90064i | −0.568701 | + | 0.568701i | −0.931764 | − | 0.363064i | \(-0.881731\pi\) |
0.363064 | + | 0.931764i | \(0.381731\pi\) | |||||||
\(194\) | −13.7342 | + | 23.7883i | −0.986059 | + | 1.70790i | ||||
\(195\) | −5.60954 | + | 0.387736i | −0.401707 | + | 0.0277663i | ||||
\(196\) | −5.23735 | + | 32.0379i | −0.374096 | + | 2.28842i | ||||
\(197\) | −3.70077 | − | 3.70077i | −0.263669 | − | 0.263669i | 0.562874 | − | 0.826543i | \(-0.309696\pi\) |
−0.826543 | + | 0.562874i | \(0.809696\pi\) | |||||||
\(198\) | −18.5381 | + | 6.97191i | −1.31745 | + | 0.495472i | ||||
\(199\) | 5.51521 | − | 9.55262i | 0.390963 | − | 0.677167i | −0.601614 | − | 0.798787i | \(-0.705475\pi\) |
0.992577 | + | 0.121620i | \(0.0388088\pi\) | |||||||
\(200\) | −24.9691 | − | 23.0428i | −1.76558 | − | 1.62937i | ||||
\(201\) | −18.9914 | + | 6.09939i | −1.33955 | + | 0.430217i | ||||
\(202\) | −16.8134 | − | 4.50514i | −1.18299 | − | 0.316981i | ||||
\(203\) | −7.46389 | − | 5.15710i | −0.523863 | − | 0.361957i | ||||
\(204\) | −0.248929 | + | 1.15186i | −0.0174285 | + | 0.0806460i | ||||
\(205\) | 0.179027 | − | 0.726064i | 0.0125038 | − | 0.0507105i | ||||
\(206\) | 3.19798 | + | 1.84635i | 0.222814 | + | 0.128641i | ||||
\(207\) | 9.96100 | − | 12.1313i | 0.692338 | − | 0.843181i | ||||
\(208\) | 3.09330 | − | 11.5444i | 0.214482 | − | 0.800457i | ||||
\(209\) | −9.31190 | + | 16.1287i | −0.644118 | + | 1.11564i | ||||
\(210\) | −13.4735 | + | 22.7027i | −0.929759 | + | 1.56663i | ||||
\(211\) | 7.97694 | + | 13.8165i | 0.549155 | + | 0.951165i | 0.998333 | + | 0.0577221i | \(0.0183837\pi\) |
−0.449178 | + | 0.893443i | \(0.648283\pi\) | |||||||
\(212\) | −11.1883 | + | 2.99790i | −0.768416 | + | 0.205896i | ||||
\(213\) | 8.90321 | − | 17.3277i | 0.610038 | − | 1.18727i | ||||
\(214\) | 17.6779 | − | 10.2063i | 1.20844 | − | 0.697690i | ||||
\(215\) | 5.84030 | + | 3.21754i | 0.398305 | + | 0.219434i | ||||
\(216\) | 21.0448 | − | 28.3531i | 1.43191 | − | 1.92918i | ||||
\(217\) | 0.690006 | − | 8.49783i | 0.0468407 | − | 0.576871i | ||||
\(218\) | 6.45627 | + | 24.0951i | 0.437274 | + | 1.63193i | ||||
\(219\) | 1.65580 | − | 7.66180i | 0.111889 | − | 0.517737i | ||||
\(220\) | −6.36166 | + | 25.8005i | −0.428903 | + | 1.73947i | ||||
\(221\) | 0.212997 | 0.0143277 | ||||||||
\(222\) | 1.99126 | + | 40.6379i | 0.133645 | + | 2.72744i | ||||
\(223\) | −5.88405 | + | 1.57663i | −0.394025 | + | 0.105579i | −0.450391 | − | 0.892832i | \(-0.648715\pi\) |
0.0563659 | + | 0.998410i | \(0.482049\pi\) | |||||||
\(224\) | −13.0518 | − | 15.3586i | −0.872058 | − | 1.02619i | ||||
\(225\) | −11.8350 | + | 9.21595i | −0.788997 | + | 0.614396i | ||||
\(226\) | −22.4704 | − | 38.9198i | −1.49471 | − | 2.58891i | ||||
\(227\) | 11.3619 | + | 3.04440i | 0.754114 | + | 0.202064i | 0.615342 | − | 0.788260i | \(-0.289018\pi\) |
0.138772 | + | 0.990324i | \(0.455685\pi\) | |||||||
\(228\) | −2.85714 | − | 58.3089i | −0.189219 | − | 3.86160i | ||||
\(229\) | 11.4844 | − | 19.8916i | 0.758911 | − | 1.31447i | −0.184496 | − | 0.982833i | \(-0.559065\pi\) |
0.943407 | − | 0.331638i | \(-0.107601\pi\) | |||||||
\(230\) | −8.38362 | − | 28.9532i | −0.552800 | − | 1.90912i | ||||
\(231\) | 11.7369 | + | 0.376404i | 0.772230 | + | 0.0247656i | ||||
\(232\) | 22.5072 | − | 6.03079i | 1.47767 | − | 0.395941i | ||||
\(233\) | 8.50050 | + | 2.27770i | 0.556886 | + | 0.149217i | 0.526275 | − | 0.850314i | \(-0.323588\pi\) |
0.0306107 | + | 0.999531i | \(0.490255\pi\) | |||||||
\(234\) | −10.2199 | − | 4.63369i | −0.668096 | − | 0.302914i | ||||
\(235\) | −0.556626 | − | 27.7581i | −0.0363103 | − | 1.81074i | ||||
\(236\) | 8.47066i | 0.551393i | ||||||||
\(237\) | 10.6710 | + | 5.48291i | 0.693156 | + | 0.356153i | ||||
\(238\) | 0.568463 | − | 0.822740i | 0.0368480 | − | 0.0533303i | ||||
\(239\) | −10.7652 | + | 6.21531i | −0.696345 | + | 0.402035i | −0.805985 | − | 0.591936i | \(-0.798364\pi\) |
0.109639 | + | 0.993971i | \(0.465030\pi\) | |||||||
\(240\) | −10.3558 | − | 30.1540i | −0.668464 | − | 1.94643i | ||||
\(241\) | 2.27596 | − | 1.31402i | 0.146607 | − | 0.0846437i | −0.424902 | − | 0.905239i | \(-0.639691\pi\) |
0.571509 | + | 0.820596i | \(0.306358\pi\) | |||||||
\(242\) | −11.0331 | + | 2.95631i | −0.709235 | + | 0.190039i | ||||
\(243\) | −10.8338 | − | 11.2084i | −0.694988 | − | 0.719021i | ||||
\(244\) | −36.0240 | −2.30620 | ||||||||
\(245\) | 12.5229 | − | 9.39032i | 0.800056 | − | 0.599925i | ||||
\(246\) | 1.00234 | − | 1.10563i | 0.0639071 | − | 0.0704927i | ||||
\(247\) | −10.1921 | + | 2.73096i | −0.648506 | + | 0.173767i | ||||
\(248\) | 15.4840 | + | 15.4840i | 0.983237 | + | 0.983237i | ||||
\(249\) | 4.58230 | − | 21.2034i | 0.290392 | − | 1.34371i | ||||
\(250\) | 1.73155 | + | 28.7524i | 0.109513 | + | 1.81846i | ||||
\(251\) | 0.0700892i | 0.00442399i | 0.999998 | + | 0.00221200i | \(0.000704101\pi\) | ||||
−0.999998 | + | 0.00221200i | \(0.999296\pi\) | |||||||
\(252\) | −31.5626 | + | 18.9410i | −1.98825 | + | 1.19317i | ||||
\(253\) | −9.48071 | + | 9.48071i | −0.596047 | + | 0.596047i | ||||
\(254\) | 4.11806i | 0.258390i | ||||||||
\(255\) | 0.471315 | − | 0.317356i | 0.0295149 | − | 0.0198736i | ||||
\(256\) | −24.5870 | −1.53668 | ||||||||
\(257\) | 2.19571 | + | 8.19451i | 0.136965 | + | 0.511160i | 0.999982 | + | 0.00598518i | \(0.00190515\pi\) |
−0.863017 | + | 0.505174i | \(0.831428\pi\) | |||||||
\(258\) | 7.20943 | + | 11.1846i | 0.448840 | + | 0.696322i | ||||
\(259\) | 8.10887 | − | 22.7195i | 0.503861 | − | 1.41172i | ||||
\(260\) | −12.8849 | + | 7.78762i | −0.799086 | + | 0.482968i | ||||
\(261\) | −1.00571 | − | 10.2377i | −0.0622518 | − | 0.633695i | ||||
\(262\) | 11.2076 | + | 41.8275i | 0.692410 | + | 2.58411i | ||||
\(263\) | −4.14582 | − | 1.11087i | −0.255642 | − | 0.0684992i | 0.128722 | − | 0.991681i | \(-0.458913\pi\) |
−0.384364 | + | 0.923182i | \(0.625579\pi\) | |||||||
\(264\) | −20.2574 | + | 22.3450i | −1.24676 | + | 1.37524i | ||||
\(265\) | 4.89165 | + | 2.69491i | 0.300492 | + | 0.165547i | ||||
\(266\) | −16.6526 | + | 46.6574i | −1.02104 | + | 2.86075i | ||||
\(267\) | 24.7345 | − | 1.21199i | 1.51372 | − | 0.0741727i | ||||
\(268\) | −37.7651 | + | 37.7651i | −2.30687 | + | 2.30687i | ||||
\(269\) | 6.63219 | − | 11.4873i | 0.404372 | − | 0.700393i | −0.589876 | − | 0.807494i | \(-0.700823\pi\) |
0.994248 | + | 0.107101i | \(0.0341568\pi\) | |||||||
\(270\) | −29.5184 | + | 4.97388i | −1.79643 | + | 0.302701i | ||||
\(271\) | −6.59490 | + | 3.80757i | −0.400612 | + | 0.231293i | −0.686748 | − | 0.726896i | \(-0.740962\pi\) |
0.286136 | + | 0.958189i | \(0.407629\pi\) | |||||||
\(272\) | 0.312581 | + | 1.16657i | 0.0189530 | + | 0.0707335i | ||||
\(273\) | 4.55126 | + | 4.85285i | 0.275455 | + | 0.293708i | ||||
\(274\) | 8.05950 | − | 4.65315i | 0.486892 | − | 0.281107i | ||||
\(275\) | 10.8303 | − | 6.84597i | 0.653090 | − | 0.412827i | ||||
\(276\) | 8.87787 | − | 41.0800i | 0.534385 | − | 2.47273i | ||||
\(277\) | −5.01399 | + | 18.7124i | −0.301261 | + | 1.12432i | 0.634855 | + | 0.772631i | \(0.281060\pi\) |
−0.936116 | + | 0.351691i | \(0.885607\pi\) | |||||||
\(278\) | −3.82632 | + | 14.2800i | −0.229487 | + | 0.856459i | ||||
\(279\) | 7.85950 | − | 5.62903i | 0.470536 | − | 0.337001i | ||||
\(280\) | −2.44960 | + | 40.1272i | −0.146391 | + | 2.39806i | ||||
\(281\) | 5.61491 | − | 9.72530i | 0.334957 | − | 0.580163i | −0.648519 | − | 0.761198i | \(-0.724611\pi\) |
0.983477 | + | 0.181035i | \(0.0579448\pi\) | |||||||
\(282\) | 25.3215 | − | 49.2815i | 1.50787 | − | 2.93467i | ||||
\(283\) | 2.38258 | + | 2.38258i | 0.141630 | + | 0.141630i | 0.774367 | − | 0.632737i | \(-0.218069\pi\) |
−0.632737 | + | 0.774367i | \(0.718069\pi\) | |||||||
\(284\) | − | 52.1611i | − | 3.09519i | ||||||
\(285\) | −18.4838 | + | 21.2288i | −1.09489 | + | 1.25748i | ||||
\(286\) | 8.30077 | + | 4.79245i | 0.490835 | + | 0.283384i | ||||
\(287\) | −0.799568 | + | 0.378943i | −0.0471970 | + | 0.0223683i | ||||
\(288\) | 3.72851 | − | 22.5478i | 0.219705 | − | 1.32864i | ||||
\(289\) | 14.7038 | − | 8.48924i | 0.864929 | − | 0.499367i | ||||
\(290\) | −17.3021 | − | 9.53204i | −1.01601 | − | 0.559741i | ||||
\(291\) | 18.0500 | + | 3.90081i | 1.05811 | + | 0.228670i | ||||
\(292\) | −5.43214 | − | 20.2730i | −0.317892 | − | 1.18639i | ||||
\(293\) | 0.0594025 | − | 0.221693i | 0.00347033 | − | 0.0129515i | −0.964169 | − | 0.265289i | \(-0.914533\pi\) |
0.967639 | + | 0.252338i | \(0.0811993\pi\) | |||||||
\(294\) | 30.8918 | − | 4.62840i | 1.80165 | − | 0.269934i | ||||
\(295\) | 2.82950 | − | 2.94530i | 0.164740 | − | 0.171482i | ||||
\(296\) | 30.9791 | + | 53.6574i | 1.80062 | + | 3.11877i | ||||
\(297\) | 8.27359 | + | 10.4328i | 0.480082 | + | 0.605371i | ||||
\(298\) | 5.67072 | + | 21.1634i | 0.328496 | + | 1.22596i | ||||
\(299\) | −7.59637 | −0.439309 | ||||||||
\(300\) | −16.9081 | + | 36.4302i | −0.976192 | + | 2.10330i | ||||
\(301\) | −1.41853 | − | 7.76106i | −0.0817625 | − | 0.447340i | ||||
\(302\) | 2.48940 | − | 9.29058i | 0.143249 | − | 0.534613i | ||||
\(303\) | 0.572722 | + | 11.6882i | 0.0329020 | + | 0.671468i | ||||
\(304\) | −29.9145 | − | 51.8134i | −1.71571 | − | 2.97170i | ||||
\(305\) | 12.5258 | + | 12.0333i | 0.717224 | + | 0.689025i | ||||
\(306\) | 1.12849 | − | 0.110858i | 0.0645115 | − | 0.00633736i | ||||
\(307\) | 0.519902 | − | 0.519902i | 0.0296724 | − | 0.0296724i | −0.692115 | − | 0.721787i | \(-0.743321\pi\) |
0.721787 | + | 0.692115i | \(0.243321\pi\) | |||||||
\(308\) | 28.4124 | − | 13.4656i | 1.61895 | − | 0.767275i | ||||
\(309\) | 0.524404 | − | 2.42654i | 0.0298323 | − | 0.138041i | ||||
\(310\) | −0.372188 | − | 18.5605i | −0.0211389 | − | 1.05416i | ||||
\(311\) | 7.12364i | 0.403945i | 0.979391 | + | 0.201972i | \(0.0647351\pi\) | ||||
−0.979391 | + | 0.201972i | \(0.935265\pi\) | |||||||
\(312\) | −17.0675 | + | 0.836308i | −0.966255 | + | 0.0473466i | ||||
\(313\) | −6.17936 | − | 6.17936i | −0.349278 | − | 0.349278i | 0.510563 | − | 0.859841i | \(-0.329437\pi\) |
−0.859841 | + | 0.510563i | \(0.829437\pi\) | |||||||
\(314\) | −25.0120 | −1.41151 | ||||||||
\(315\) | 17.3015 | + | 3.95711i | 0.974828 | + | 0.222958i | ||||
\(316\) | 32.1227 | 1.80704 | ||||||||
\(317\) | −1.14070 | − | 1.14070i | −0.0640678 | − | 0.0640678i | 0.674347 | − | 0.738415i | \(-0.264425\pi\) |
−0.738415 | + | 0.674347i | \(0.764425\pi\) | |||||||
\(318\) | 6.03839 | + | 9.36786i | 0.338616 | + | 0.525324i | ||||
\(319\) | 8.78681i | 0.491967i | ||||||||
\(320\) | −5.09957 | − | 4.89907i | −0.285075 | − | 0.273866i | ||||
\(321\) | −10.1670 | − | 9.21722i | −0.567469 | − | 0.514455i | ||||
\(322\) | −20.2738 | + | 29.3424i | −1.12981 | + | 1.63519i | ||||
\(323\) | 0.753952 | − | 0.753952i | 0.0419510 | − | 0.0419510i | ||||
\(324\) | −39.5165 | − | 13.4363i | −2.19536 | − | 0.746463i | ||||
\(325\) | 7.08150 | + | 1.59620i | 0.392811 | + | 0.0885413i | ||||
\(326\) | −29.8393 | − | 51.6832i | −1.65265 | − | 2.86247i | ||||
\(327\) | 14.0957 | − | 9.08590i | 0.779495 | − | 0.502452i | ||||
\(328\) | 0.588186 | − | 2.19514i | 0.0324772 | − | 0.121206i | ||||
\(329\) | −25.0325 | + | 21.2726i | −1.38009 | + | 1.17280i | ||||
\(330\) | 25.5083 | − | 1.76316i | 1.40419 | − | 0.0970585i | ||||
\(331\) | −2.16937 | −0.119239 | −0.0596196 | − | 0.998221i | \(-0.518989\pi\) | ||||
−0.0596196 | + | 0.998221i | \(0.518989\pi\) | |||||||
\(332\) | −15.0330 | − | 56.1039i | −0.825043 | − | 3.07910i | ||||
\(333\) | 25.6024 | − | 9.62867i | 1.40300 | − | 0.527648i | ||||
\(334\) | 14.4297 | + | 24.9930i | 0.789559 | + | 1.36756i | ||||
\(335\) | 25.7460 | − | 0.516278i | 1.40666 | − | 0.0282073i | ||||
\(336\) | −19.8996 | + | 32.0486i | −1.08561 | + | 1.74840i | ||||
\(337\) | 3.93387 | − | 14.6814i | 0.214292 | − | 0.799747i | −0.772123 | − | 0.635473i | \(-0.780805\pi\) |
0.986415 | − | 0.164274i | \(-0.0525282\pi\) | |||||||
\(338\) | −7.26301 | − | 27.1059i | −0.395055 | − | 1.47437i | ||||
\(339\) | −20.2927 | + | 22.3839i | −1.10215 | + | 1.21572i | ||||
\(340\) | 0.734116 | − | 1.33253i | 0.0398130 | − | 0.0722665i | ||||
\(341\) | −7.15127 | + | 4.12879i | −0.387263 | + | 0.223586i | ||||
\(342\) | −52.5778 | + | 19.7737i | −2.84308 | + | 1.06924i | ||||
\(343\) | −17.9759 | − | 4.45735i | −0.970606 | − | 0.240674i | ||||
\(344\) | 17.5490 | + | 10.1319i | 0.946176 | + | 0.546275i | ||||
\(345\) | −16.8091 | + | 11.3183i | −0.904971 | + | 0.609355i | ||||
\(346\) | − | 20.4819i | − | 1.10112i | ||||||
\(347\) | 3.68535 | + | 3.68535i | 0.197840 | + | 0.197840i | 0.799073 | − | 0.601234i | \(-0.205324\pi\) |
−0.601234 | + | 0.799073i | \(0.705324\pi\) | |||||||
\(348\) | −14.9226 | − | 23.1507i | −0.799937 | − | 1.24101i | ||||
\(349\) | 4.37177 | − | 7.57212i | 0.234015 | − | 0.405326i | −0.724971 | − | 0.688780i | \(-0.758147\pi\) |
0.958986 | + | 0.283453i | \(0.0914801\pi\) | |||||||
\(350\) | 25.0653 | − | 23.0935i | 1.33980 | − | 1.23440i | ||||
\(351\) | −0.865017 | + | 7.49419i | −0.0461712 | + | 0.400010i | ||||
\(352\) | −5.05246 | + | 18.8560i | −0.269297 | + | 1.00503i | ||||
\(353\) | 2.46967 | − | 9.21694i | 0.131447 | − | 0.490568i | −0.868540 | − | 0.495619i | \(-0.834941\pi\) |
0.999987 | + | 0.00505096i | \(0.00160778\pi\) | |||||||
\(354\) | 7.76022 | − | 2.49232i | 0.412451 | − | 0.132465i | ||||
\(355\) | −17.4237 | + | 18.1368i | −0.924753 | + | 0.962599i | ||||
\(356\) | 57.4230 | − | 33.1532i | 3.04341 | − | 1.75711i | ||||
\(357\) | −0.643486 | − | 0.194732i | −0.0340569 | − | 0.0103063i | ||||
\(358\) | −7.79498 | − | 29.0913i | −0.411978 | − | 1.53752i | ||||
\(359\) | −3.85052 | + | 2.22310i | −0.203223 | + | 0.117331i | −0.598158 | − | 0.801378i | \(-0.704100\pi\) |
0.394935 | + | 0.918709i | \(0.370767\pi\) | |||||||
\(360\) | −36.5205 | + | 27.2804i | −1.92480 | + | 1.43780i | ||||
\(361\) | −16.9104 | + | 29.2896i | −0.890019 | + | 1.54156i | ||||
\(362\) | 17.5897 | − | 17.5897i | 0.924496 | − | 0.924496i | ||||
\(363\) | 4.16042 | + | 6.45440i | 0.218365 | + | 0.338768i | ||||
\(364\) | 16.7773 | + | 5.98802i | 0.879369 | + | 0.313858i | ||||
\(365\) | −4.88312 | + | 8.86359i | −0.255594 | + | 0.463942i | ||||
\(366\) | 10.5993 | + | 33.0026i | 0.554036 | + | 1.72508i | ||||
\(367\) | −18.9424 | − | 5.07560i | −0.988786 | − | 0.264944i | −0.272045 | − | 0.962284i | \(-0.587700\pi\) |
−0.716740 | + | 0.697340i | \(0.754367\pi\) | |||||||
\(368\) | −11.1479 | − | 41.6047i | −0.581127 | − | 2.16880i | ||||
\(369\) | −0.913757 | − | 0.414297i | −0.0475683 | − | 0.0215674i | ||||
\(370\) | 12.5749 | − | 50.9988i | 0.653736 | − | 2.65130i | ||||
\(371\) | −1.18811 | − | 6.50042i | −0.0616837 | − | 0.337485i | ||||
\(372\) | 11.8296 | − | 23.0232i | 0.613338 | − | 1.19370i | ||||
\(373\) | −6.36129 | − | 23.7406i | −0.329375 | − | 1.22924i | −0.909840 | − | 0.414959i | \(-0.863796\pi\) |
0.580465 | − | 0.814285i | \(-0.302871\pi\) | |||||||
\(374\) | −0.968564 | −0.0500832 | ||||||||
\(375\) | 18.0481 | − | 7.01909i | 0.931998 | − | 0.362464i | ||||
\(376\) | − | 84.3733i | − | 4.35122i | ||||||
\(377\) | −3.52019 | + | 3.52019i | −0.181299 | + | 0.181299i | ||||
\(378\) | 26.6390 | + | 23.3424i | 1.37016 | + | 1.20060i | ||||
\(379\) | 14.4359i | 0.741521i | 0.928728 | + | 0.370761i | \(0.120903\pi\) | ||||
−0.928728 | + | 0.370761i | \(0.879097\pi\) | |||||||
\(380\) | −18.0429 | + | 73.1751i | −0.925582 | + | 3.75380i | ||||
\(381\) | 2.63591 | − | 0.846565i | 0.135042 | − | 0.0433709i | ||||
\(382\) | 16.1525 | + | 16.1525i | 0.826433 | + | 0.826433i | ||||
\(383\) | 35.0710 | − | 9.39725i | 1.79204 | − | 0.480177i | 0.799353 | − | 0.600861i | \(-0.205176\pi\) |
0.992691 | + | 0.120685i | \(0.0385090\pi\) | |||||||
\(384\) | 3.75419 | + | 11.6892i | 0.191580 | + | 0.596514i | ||||
\(385\) | −14.3772 | − | 4.80868i | −0.732729 | − | 0.245073i | ||||
\(386\) | 28.7861 | 1.46517 | ||||||||
\(387\) | 5.67703 | − | 6.91392i | 0.288580 | − | 0.351454i | ||||
\(388\) | 47.7600 | − | 12.7973i | 2.42465 | − | 0.649683i | ||||
\(389\) | −6.32887 | + | 3.65398i | −0.320886 | + | 0.185264i | −0.651788 | − | 0.758402i | \(-0.725981\pi\) |
0.330901 | + | 0.943665i | \(0.392647\pi\) | |||||||
\(390\) | 10.9256 | + | 9.51285i | 0.553238 | + | 0.481702i | ||||
\(391\) | 0.664778 | − | 0.383810i | 0.0336193 | − | 0.0194101i | ||||
\(392\) | 38.6212 | − | 27.7683i | 1.95066 | − | 1.40251i | ||||
\(393\) | 24.4692 | − | 15.7725i | 1.23431 | − | 0.795617i | ||||
\(394\) | 13.4838i | 0.679303i | ||||||||
\(395\) | −11.1693 | − | 10.7301i | −0.561986 | − | 0.539891i | ||||
\(396\) | 32.4701 | + | 14.7219i | 1.63168 | + | 0.739804i | ||||
\(397\) | −18.2549 | − | 4.89139i | −0.916187 | − | 0.245492i | −0.230232 | − | 0.973136i | \(-0.573949\pi\) |
−0.685955 | + | 0.727644i | \(0.740615\pi\) | |||||||
\(398\) | −27.4499 | + | 7.35518i | −1.37594 | + | 0.368682i | ||||
\(399\) | 33.2881 | + | 1.06755i | 1.66649 | + | 0.0534446i | ||||
\(400\) | 1.65009 | + | 41.1273i | 0.0825046 | + | 2.05636i | ||||
\(401\) | −4.51111 | + | 7.81347i | −0.225274 | + | 0.390186i | −0.956402 | − | 0.292055i | \(-0.905661\pi\) |
0.731128 | + | 0.682241i | \(0.238994\pi\) | |||||||
\(402\) | 45.7092 | + | 23.4861i | 2.27977 | + | 1.17138i | ||||
\(403\) | −4.51904 | − | 1.21087i | −0.225110 | − | 0.0603179i | ||||
\(404\) | 15.6664 | + | 27.1350i | 0.779433 | + | 1.35002i | ||||
\(405\) | 9.25193 | + | 17.8718i | 0.459732 | + | 0.888058i | ||||
\(406\) | 4.20242 | + | 22.9924i | 0.208563 | + | 1.14109i | ||||
\(407\) | −22.5682 | + | 6.04712i | −1.11866 | + | 0.299745i | ||||
\(408\) | 1.45137 | − | 0.935529i | 0.0718533 | − | 0.0463156i | ||||
\(409\) | 15.2329 | 0.753220 | 0.376610 | − | 0.926372i | \(-0.377090\pi\) | ||||
0.376610 | + | 0.926372i | \(0.377090\pi\) | |||||||
\(410\) | −1.64885 | + | 0.996568i | −0.0814311 | + | 0.0492170i | ||||
\(411\) | −4.63524 | − | 4.20221i | −0.228640 | − | 0.207280i | ||||
\(412\) | −1.72039 | − | 6.42060i | −0.0847577 | − | 0.316320i | ||||
\(413\) | −4.81667 | − | 0.391103i | −0.237013 | − | 0.0192449i | ||||
\(414\) | −40.2467 | + | 3.95368i | −1.97802 | + | 0.194313i | ||||
\(415\) | −13.5136 | + | 24.5293i | −0.663359 | + | 1.20409i | ||||
\(416\) | −9.57828 | + | 5.53002i | −0.469614 | + | 0.271132i | ||||
\(417\) | 9.92704 | − | 0.486426i | 0.486129 | − | 0.0238204i | ||||
\(418\) | 46.3466 | − | 12.4185i | 2.26688 | − | 0.607410i | ||||
\(419\) | 9.91670 | + | 17.1762i | 0.484462 | + | 0.839114i | 0.999841 | − | 0.0178493i | \(-0.00568190\pi\) |
−0.515378 | + | 0.856963i | \(0.672349\pi\) | |||||||
\(420\) | 46.0463 | − | 11.7473i | 2.24683 | − | 0.573208i | ||||
\(421\) | −4.27485 | + | 7.40426i | −0.208343 | + | 0.360861i | −0.951193 | − | 0.308597i | \(-0.900141\pi\) |
0.742849 | + | 0.669459i | \(0.233474\pi\) | |||||||
\(422\) | 10.6382 | − | 39.7023i | 0.517859 | − | 1.93268i | ||||
\(423\) | −36.7498 | − | 6.07697i | −1.78684 | − | 0.295472i | ||||
\(424\) | 14.6985 | + | 8.48616i | 0.713820 | + | 0.412124i | ||||
\(425\) | −0.700369 | + | 0.218108i | −0.0339729 | + | 0.0105798i | ||||
\(426\) | −47.7863 | + | 15.3473i | −2.31525 | + | 0.743581i | ||||
\(427\) | 1.66328 | − | 20.4843i | 0.0804920 | − | 0.991306i | ||||
\(428\) | −35.4920 | − | 9.51006i | −1.71557 | − | 0.459686i | ||||
\(429\) | 1.36116 | − | 6.29842i | 0.0657175 | − | 0.304090i | ||||
\(430\) | −4.77804 | − | 16.5012i | −0.230418 | − | 0.795757i | ||||
\(431\) | −8.37300 | + | 14.5025i | −0.403313 | + | 0.698559i | −0.994124 | − | 0.108252i | \(-0.965475\pi\) |
0.590810 | + | 0.806810i | \(0.298808\pi\) | |||||||
\(432\) | −42.3145 | + | 6.26037i | −2.03586 | + | 0.301202i | ||||
\(433\) | 9.79564 | + | 9.79564i | 0.470748 | + | 0.470748i | 0.902157 | − | 0.431408i | \(-0.141983\pi\) |
−0.431408 | + | 0.902157i | \(0.641983\pi\) | |||||||
\(434\) | −16.7380 | + | 14.2240i | −0.803450 | + | 0.682772i | ||||
\(435\) | −2.54447 | + | 13.0344i | −0.121998 | + | 0.624949i | ||||
\(436\) | 22.4514 | − | 38.8869i | 1.07523 | − | 1.86234i | ||||
\(437\) | −26.8891 | + | 26.8891i | −1.28628 | + | 1.28628i | ||||
\(438\) | −16.9744 | + | 10.9415i | −0.811069 | + | 0.522803i | ||||
\(439\) | 3.02630 | 0.144438 | 0.0722188 | − | 0.997389i | \(-0.476992\pi\) | ||||
0.0722188 | + | 0.997389i | \(0.476992\pi\) | |||||||
\(440\) | 33.3235 | − | 20.1407i | 1.58863 | − | 0.960171i | ||||
\(441\) | −9.31313 | − | 18.8219i | −0.443482 | − | 0.896283i | ||||
\(442\) | −0.388028 | − | 0.388028i | −0.0184566 | − | 0.0184566i | ||||
\(443\) | 7.23468 | − | 7.23468i | 0.343730 | − | 0.343730i | −0.514038 | − | 0.857768i | \(-0.671851\pi\) |
0.857768 | + | 0.514038i | \(0.171851\pi\) | |||||||
\(444\) | 49.1908 | − | 54.2599i | 2.33449 | − | 2.57506i | ||||
\(445\) | −31.0407 | − | 7.65375i | −1.47147 | − | 0.362823i | ||||
\(446\) | 13.5915 | + | 7.84707i | 0.643577 | + | 0.371570i | ||||
\(447\) | 12.3806 | − | 7.98039i | 0.585585 | − | 0.377460i | ||||
\(448\) | −0.677166 | + | 8.33970i | −0.0319931 | + | 0.394014i | ||||
\(449\) | 25.9662i | 1.22542i | 0.790307 | + | 0.612711i | \(0.209921\pi\) | ||||
−0.790307 | + | 0.612711i | \(0.790079\pi\) | |||||||
\(450\) | 38.3496 | + | 4.77121i | 1.80782 | + | 0.224917i | ||||
\(451\) | 0.742169 | + | 0.428491i | 0.0349474 | + | 0.0201769i | ||||
\(452\) | −20.9374 | + | 78.1396i | −0.984814 | + | 3.67538i | ||||
\(453\) | −6.45853 | + | 0.316469i | −0.303448 | + | 0.0148690i | ||||
\(454\) | −15.1524 | − | 26.2447i | −0.711137 | − | 1.23173i | ||||
\(455\) | −3.83336 | − | 7.68629i | −0.179711 | − | 0.360339i | ||||
\(456\) | −57.4540 | + | 63.3746i | −2.69053 | + | 2.96779i | ||||
\(457\) | −4.83255 | − | 4.83255i | −0.226057 | − | 0.226057i | 0.584986 | − | 0.811043i | \(-0.301100\pi\) |
−0.811043 | + | 0.584986i | \(0.801100\pi\) | |||||||
\(458\) | −57.1594 | + | 15.3158i | −2.67088 | + | 0.715661i | ||||
\(459\) | −0.302947 | − | 0.699541i | −0.0141404 | − | 0.0326518i | ||||
\(460\) | −26.1817 | + | 47.5236i | −1.22073 | + | 2.21580i | ||||
\(461\) | −4.56100 | − | 2.63329i | −0.212427 | − | 0.122645i | 0.390012 | − | 0.920810i | \(-0.372471\pi\) |
−0.602439 | + | 0.798165i | \(0.705804\pi\) | |||||||
\(462\) | −20.6960 | − | 22.0674i | −0.962866 | − | 1.02667i | ||||
\(463\) | 33.4299 | + | 8.95750i | 1.55362 | + | 0.416290i | 0.930636 | − | 0.365947i | \(-0.119255\pi\) |
0.622981 | + | 0.782237i | \(0.285921\pi\) | |||||||
\(464\) | −24.4458 | − | 14.1138i | −1.13487 | − | 0.655217i | ||||
\(465\) | −11.8038 | + | 4.05378i | −0.547388 | + | 0.187990i | ||||
\(466\) | −11.3364 | − | 19.6352i | −0.525149 | − | 0.909585i | ||||
\(467\) | −26.4295 | − | 7.08177i | −1.22301 | − | 0.327705i | −0.411158 | − | 0.911564i | \(-0.634875\pi\) |
−0.811855 | + | 0.583859i | \(0.801542\pi\) | |||||||
\(468\) | 7.11033 | + | 18.9062i | 0.328675 | + | 0.873939i | ||||
\(469\) | −19.7307 | − | 23.2180i | −0.911077 | − | 1.07211i | ||||
\(470\) | −49.5545 | + | 51.5825i | −2.28578 | + | 2.37933i | ||||
\(471\) | 5.14182 | + | 16.0098i | 0.236922 | + | 0.737694i | ||||
\(472\) | 8.77653 | − | 8.77653i | 0.403972 | − | 0.403972i | ||||
\(473\) | −5.40330 | + | 5.40330i | −0.248444 | + | 0.248444i | ||||
\(474\) | −9.45143 | − | 29.4285i | −0.434119 | − | 1.35170i | ||||
\(475\) | 30.7167 | − | 19.4165i | 1.40938 | − | 0.890890i | ||||
\(476\) | −1.77077 | + | 0.323652i | −0.0811632 | + | 0.0148346i | ||||
\(477\) | 4.75490 | − | 5.79088i | 0.217712 | − | 0.265146i | ||||
\(478\) | 30.9344 | + | 8.28886i | 1.41491 | + | 0.379123i | ||||
\(479\) | −7.24141 | − | 12.5425i | −0.330868 | − | 0.573081i | 0.651814 | − | 0.758379i | \(-0.274008\pi\) |
−0.982682 | + | 0.185298i | \(0.940675\pi\) | |||||||
\(480\) | −12.9551 | + | 26.5080i | −0.591318 | + | 1.20992i | ||||
\(481\) | −11.4639 | − | 6.61870i | −0.522710 | − | 0.301787i | ||||
\(482\) | −6.54007 | − | 1.75241i | −0.297892 | − | 0.0798199i | ||||
\(483\) | 22.9494 | + | 6.94495i | 1.04423 | + | 0.316006i | ||||
\(484\) | 17.8062 | + | 10.2804i | 0.809374 | + | 0.467293i | ||||
\(485\) | −20.8812 | − | 11.5039i | −0.948167 | − | 0.522364i | ||||
\(486\) | −0.682491 | + | 40.1556i | −0.0309584 | + | 1.82149i | ||||
\(487\) | −4.97684 | + | 1.33354i | −0.225522 | + | 0.0604285i | −0.369810 | − | 0.929107i | \(-0.620577\pi\) |
0.144288 | + | 0.989536i | \(0.453911\pi\) | |||||||
\(488\) | 37.3248 | + | 37.3248i | 1.68961 | + | 1.68961i | ||||
\(489\) | −26.9475 | + | 29.7244i | −1.21861 | + | 1.34419i | ||||
\(490\) | −39.9205 | − | 5.70672i | −1.80342 | − | 0.257803i | ||||
\(491\) | −14.3057 | − | 24.7782i | −0.645607 | − | 1.11822i | −0.984161 | − | 0.177277i | \(-0.943271\pi\) |
0.338554 | − | 0.940947i | \(-0.390062\pi\) | |||||||
\(492\) | −2.68311 | + | 0.131473i | −0.120964 | + | 0.00592725i | ||||
\(493\) | 0.130202 | − | 0.485921i | 0.00586401 | − | 0.0218848i | ||||
\(494\) | 23.5426 | + | 13.5923i | 1.05923 | + | 0.611548i | ||||
\(495\) | −6.37242 | − | 15.9651i | −0.286419 | − | 0.717577i | ||||
\(496\) | − | 26.5275i | − | 1.19112i | ||||||
\(497\) | 29.6604 | + | 2.40836i | 1.33045 | + | 0.108030i | ||||
\(498\) | −46.9753 | + | 30.2796i | −2.10501 | + | 1.35686i | ||||
\(499\) | 20.4595 | + | 11.8123i | 0.915893 | + | 0.528791i | 0.882323 | − | 0.470645i | \(-0.155979\pi\) |
0.0335708 | + | 0.999436i | \(0.489312\pi\) | |||||||
\(500\) | 34.3931 | − | 38.8011i | 1.53811 | − | 1.73524i | ||||
\(501\) | 13.0313 | − | 14.3742i | 0.582196 | − | 0.642191i | ||||
\(502\) | 0.127685 | − | 0.127685i | 0.00569888 | − | 0.00569888i | ||||
\(503\) | −21.3125 | − | 21.3125i | −0.950277 | − | 0.950277i | 0.0485443 | − | 0.998821i | \(-0.484542\pi\) |
−0.998821 | + | 0.0485443i | \(0.984542\pi\) | |||||||
\(504\) | 52.3272 | + | 13.0773i | 2.33084 | + | 0.582509i | ||||
\(505\) | 3.61675 | − | 14.6682i | 0.160943 | − | 0.652724i | ||||
\(506\) | 34.5431 | 1.53563 | ||||||||
\(507\) | −15.8570 | + | 10.2212i | −0.704236 | + | 0.453940i | ||||
\(508\) | 5.24161 | − | 5.24161i | 0.232559 | − | 0.232559i | ||||
\(509\) | −10.2500 | + | 17.7536i | −0.454325 | + | 0.786913i | −0.998649 | − | 0.0519615i | \(-0.983453\pi\) |
0.544325 | + | 0.838875i | \(0.316786\pi\) | |||||||
\(510\) | −1.43677 | − | 0.280475i | −0.0636211 | − | 0.0124197i | ||||
\(511\) | 11.7787 | − | 2.15284i | 0.521057 | − | 0.0952360i | ||||
\(512\) | 34.7671 | + | 34.7671i | 1.53650 | + | 1.53650i | ||||
\(513\) | 23.4655 | + | 29.5894i | 1.03603 | + | 1.30640i | ||||
\(514\) | 10.9283 | − | 18.9285i | 0.482029 | − | 0.834898i | ||||
\(515\) | −1.54652 | + | 2.80716i | −0.0681477 | + | 0.123698i | ||||
\(516\) | 5.05973 | − | 23.4126i | 0.222742 | − | 1.03068i | ||||
\(517\) | 30.7328 | + | 8.23483i | 1.35163 | + | 0.362167i | ||||
\(518\) | −56.1618 | + | 26.6170i | −2.46761 | + | 1.16948i | ||||
\(519\) | −13.1102 | + | 4.21056i | −0.575475 | + | 0.184823i | ||||
\(520\) | 21.4189 | + | 5.28130i | 0.939283 | + | 0.231601i | ||||
\(521\) | 12.4844 | + | 7.20785i | 0.546950 | + | 0.315782i | 0.747891 | − | 0.663822i | \(-0.231067\pi\) |
−0.200941 | + | 0.979603i | \(0.564400\pi\) | |||||||
\(522\) | −16.8184 | + | 20.4827i | −0.736120 | + | 0.896503i | ||||
\(523\) | 7.92963 | − | 29.5938i | 0.346739 | − | 1.29405i | −0.543829 | − | 0.839196i | \(-0.683026\pi\) |
0.890568 | − | 0.454850i | \(-0.150307\pi\) | |||||||
\(524\) | 38.9740 | − | 67.5050i | 1.70259 | − | 2.94897i | ||||
\(525\) | −19.9346 | − | 11.2965i | −0.870018 | − | 0.493020i | ||||
\(526\) | 5.52894 | + | 9.57641i | 0.241073 | + | 0.417551i | ||||
\(527\) | 0.456653 | − | 0.122360i | 0.0198921 | − | 0.00533008i | ||||
\(528\) | 36.4935 | − | 1.78819i | 1.58818 | − | 0.0778208i | ||||
\(529\) | −3.79021 | + | 2.18828i | −0.164792 | + | 0.0951426i | ||||
\(530\) | −4.00194 | − | 13.8209i | −0.173833 | − | 0.600340i | ||||
\(531\) | −3.19060 | − | 4.45485i | −0.138460 | − | 0.193324i | ||||
\(532\) | 80.5831 | − | 38.1911i | 3.49372 | − | 1.65580i | ||||
\(533\) | 0.125666 | + | 0.468993i | 0.00544321 | + | 0.0203143i | ||||
\(534\) | −47.2681 | − | 42.8522i | −2.04549 | − | 1.85440i | ||||
\(535\) | 9.16411 | + | 15.1623i | 0.396199 | + | 0.655524i | ||||
\(536\) | 78.2574 | 3.38020 | ||||||||
\(537\) | −17.0185 | + | 10.9699i | −0.734401 | + | 0.473385i | ||||
\(538\) | −33.0093 | + | 8.84481i | −1.42313 | + | 0.381327i | ||||
\(539\) | 6.34511 | + | 16.7779i | 0.273303 | + | 0.722674i | ||||
\(540\) | 43.9030 | + | 31.2411i | 1.88928 | + | 1.34440i | ||||
\(541\) | −17.8489 | − | 30.9152i | −0.767384 | − | 1.32915i | −0.938977 | − | 0.343980i | \(-0.888225\pi\) |
0.171593 | − | 0.985168i | \(-0.445109\pi\) | |||||||
\(542\) | 18.9508 | + | 5.07784i | 0.814005 | + | 0.218112i | ||||
\(543\) | −14.8749 | − | 7.64296i | −0.638345 | − | 0.327991i | ||||
\(544\) | 0.558814 | − | 0.967894i | 0.0239590 | − | 0.0414981i | ||||
\(545\) | −20.7961 | + | 6.02167i | −0.890807 | + | 0.257940i | ||||
\(546\) | 0.549427 | − | 17.1320i | 0.0235133 | − | 0.733182i | ||||
\(547\) | −41.4749 | + | 11.1132i | −1.77334 | + | 0.475165i | −0.989343 | − | 0.145602i | \(-0.953488\pi\) |
−0.783996 | + | 0.620766i | \(0.786822\pi\) | |||||||
\(548\) | −16.1811 | − | 4.33571i | −0.691223 | − | 0.185213i | ||||
\(549\) | 18.9456 | − | 13.5690i | 0.808578 | − | 0.579110i | ||||
\(550\) | −32.2018 | − | 7.25842i | −1.37309 | − | 0.309500i | ||||
\(551\) | 24.9211i | 1.06167i | ||||||||
\(552\) | −51.7618 | + | 33.3649i | −2.20313 | + | 1.42011i | ||||
\(553\) | −1.48315 | + | 18.2659i | −0.0630701 | + | 0.776745i | ||||
\(554\) | 43.2238 | − | 24.9553i | 1.83640 | − | 1.06025i | ||||
\(555\) | −35.2287 | + | 2.43504i | −1.49538 | + | 0.103362i | ||||
\(556\) | 23.0464 | − | 13.3058i | 0.977385 | − | 0.564293i | ||||
\(557\) | 38.8850 | − | 10.4192i | 1.64761 | − | 0.441476i | 0.688669 | − | 0.725076i | \(-0.258196\pi\) |
0.958943 | + | 0.283600i | \(0.0915289\pi\) | |||||||
\(558\) | −24.5728 | − | 4.06337i | −1.04025 | − | 0.172016i | ||||
\(559\) | −4.32937 | −0.183113 | ||||||||
\(560\) | 36.4716 | − | 32.2749i | 1.54121 | − | 1.36386i | ||||
\(561\) | 0.199112 | + | 0.619964i | 0.00840649 | + | 0.0261749i | ||||
\(562\) | −27.9461 | + | 7.48814i | −1.17884 | + | 0.315868i | ||||
\(563\) | 23.8122 | + | 23.8122i | 1.00356 | + | 1.00356i | 0.999994 | + | 0.00357010i | \(0.00113640\pi\) |
0.00357010 | + | 0.999994i | \(0.498864\pi\) | |||||||
\(564\) | −94.9573 | + | 30.4971i | −3.99842 | + | 1.28416i | ||||
\(565\) | 33.3815 | − | 20.1758i | 1.40437 | − | 0.848801i | ||||
\(566\) | − | 8.68096i | − | 0.364888i | ||||||
\(567\) | 9.46483 | − | 21.8499i | 0.397486 | − | 0.917608i | ||||
\(568\) | −54.0446 | + | 54.0446i | −2.26766 | + | 2.26766i | ||||
\(569\) | − | 0.140891i | − | 0.00590644i | −0.999996 | − | 0.00295322i | \(-0.999060\pi\) | ||
0.999996 | − | 0.00295322i | \(-0.000940041\pi\) | |||||||
\(570\) | 72.3466 | − | 5.00065i | 3.03027 | − | 0.209454i | ||||
\(571\) | 45.6948 | 1.91227 | 0.956133 | − | 0.292932i | \(-0.0946309\pi\) | ||||
0.956133 | + | 0.292932i | \(0.0946309\pi\) | |||||||
\(572\) | −4.46551 | − | 16.6655i | −0.186713 | − | 0.696821i | ||||
\(573\) | 7.01845 | − | 13.6595i | 0.293200 | − | 0.570634i | ||||
\(574\) | 2.14696 | + | 0.766276i | 0.0896124 | + | 0.0319838i | ||||
\(575\) | 24.9781 | − | 7.77865i | 1.04166 | − | 0.324392i | ||||
\(576\) | −7.71324 | + | 5.52428i | −0.321385 | + | 0.230178i | ||||
\(577\) | 5.49665 | + | 20.5138i | 0.228829 | + | 0.854000i | 0.980834 | + | 0.194843i | \(0.0624199\pi\) |
−0.752006 | + | 0.659157i | \(0.770913\pi\) | |||||||
\(578\) | −42.2520 | − | 11.3214i | −1.75745 | − | 0.470908i | ||||
\(579\) | −5.91767 | − | 18.4256i | −0.245930 | − | 0.765741i | ||||
\(580\) | 9.88996 | + | 34.1554i | 0.410658 | + | 1.41823i | ||||
\(581\) | 32.5965 | − | 5.95781i | 1.35233 | − | 0.247172i | ||||
\(582\) | −25.7764 | − | 39.9890i | −1.06846 | − | 1.65760i | ||||
\(583\) | −4.52563 | + | 4.52563i | −0.187433 | + | 0.187433i | ||||
\(584\) | −15.3768 | + | 26.6333i | −0.636295 | + | 1.10210i | ||||
\(585\) | 3.84303 | − | 8.94890i | 0.158890 | − | 0.369992i | ||||
\(586\) | −0.512088 | + | 0.295654i | −0.0211542 | + | 0.0122134i | ||||
\(587\) | −6.20112 | − | 23.1429i | −0.255948 | − | 0.955210i | −0.967561 | − | 0.252638i | \(-0.918702\pi\) |
0.711613 | − | 0.702572i | \(-0.247965\pi\) | |||||||
\(588\) | −45.2114 | − | 33.4290i | −1.86449 | − | 1.37859i | ||||
\(589\) | −20.2824 | + | 11.7100i | −0.835721 | + | 0.482504i | ||||
\(590\) | −10.5203 | + | 0.210961i | −0.433114 | + | 0.00868511i | ||||
\(591\) | 8.63079 | − | 2.77192i | 0.355023 | − | 0.114021i | ||||
\(592\) | 19.4264 | − | 72.5002i | 0.798419 | − | 2.97974i | ||||
\(593\) | 7.03906 | − | 26.2701i | 0.289060 | − | 1.07878i | −0.656762 | − | 0.754098i | \(-0.728074\pi\) |
0.945822 | − | 0.324687i | \(-0.105259\pi\) | |||||||
\(594\) | 3.93350 | − | 34.0784i | 0.161394 | − | 1.39825i | ||||
\(595\) | 0.723820 | + | 0.478965i | 0.0296737 | + | 0.0196357i | ||||
\(596\) | 19.7196 | − | 34.1554i | 0.807748 | − | 1.39906i | ||||
\(597\) | 10.3509 | + | 16.0583i | 0.423636 | + | 0.657221i | ||||
\(598\) | 13.8387 | + | 13.8387i | 0.565908 | + | 0.565908i | ||||
\(599\) | 2.83886i | 0.115993i | 0.998317 | + | 0.0579964i | \(0.0184712\pi\) | ||||
−0.998317 | + | 0.0579964i | \(0.981529\pi\) | |||||||
\(600\) | 55.2643 | − | 20.2270i | 2.25616 | − | 0.825762i | ||||
\(601\) | 14.1190 | + | 8.15163i | 0.575928 | + | 0.332512i | 0.759513 | − | 0.650492i | \(-0.225437\pi\) |
−0.183586 | + | 0.983004i | \(0.558770\pi\) | |||||||
\(602\) | −11.5546 | + | 16.7230i | −0.470929 | + | 0.681578i | ||||
\(603\) | 5.63647 | − | 34.0860i | 0.229535 | − | 1.38809i | ||||
\(604\) | −14.9940 | + | 8.65678i | −0.610096 | + | 0.352239i | ||||
\(605\) | −2.75731 | − | 9.52249i | −0.112101 | − | 0.387144i | ||||
\(606\) | 20.2496 | − | 22.3364i | 0.822586 | − | 0.907353i | ||||
\(607\) | −3.61068 | − | 13.4753i | −0.146553 | − | 0.546944i | −0.999681 | − | 0.0252425i | \(-0.991964\pi\) |
0.853128 | − | 0.521701i | \(-0.174702\pi\) | |||||||
\(608\) | −14.3298 | + | 53.4794i | −0.581149 | + | 2.16888i | ||||
\(609\) | 13.8532 | − | 7.41655i | 0.561360 | − | 0.300534i | ||||
\(610\) | −0.897173 | − | 44.7407i | −0.0363255 | − | 1.81150i | ||||
\(611\) | 9.01319 | + | 15.6113i | 0.364635 | + | 0.631566i | ||||
\(612\) | −1.57749 | − | 1.29528i | −0.0637661 | − | 0.0523585i | ||||
\(613\) | −9.75082 | − | 36.3906i | −0.393832 | − | 1.46980i | −0.823760 | − | 0.566938i | \(-0.808128\pi\) |
0.429928 | − | 0.902863i | \(-0.358539\pi\) | |||||||
\(614\) | −1.89427 | −0.0764465 | ||||||||
\(615\) | 0.976851 | + | 0.850540i | 0.0393904 | + | 0.0342971i | ||||
\(616\) | −43.3902 | − | 15.4865i | −1.74824 | − | 0.623969i | ||||
\(617\) | 6.69418 | − | 24.9830i | 0.269497 | − | 1.00578i | −0.689942 | − | 0.723864i | \(-0.742364\pi\) |
0.959440 | − | 0.281914i | \(-0.0909692\pi\) | |||||||
\(618\) | −5.37591 | + | 3.46523i | −0.216251 | + | 0.139392i | ||||
\(619\) | 18.8531 | + | 32.6545i | 0.757770 | + | 1.31250i | 0.943985 | + | 0.329987i | \(0.107044\pi\) |
−0.186215 | + | 0.982509i | \(0.559622\pi\) | |||||||
\(620\) | −23.1507 | + | 24.0982i | −0.929755 | + | 0.967806i | ||||
\(621\) | 10.8044 | + | 24.9486i | 0.433565 | + | 1.00115i | ||||
\(622\) | 12.9775 | − | 12.9775i | 0.520352 | − | 0.520352i | ||||
\(623\) | 16.2006 | + | 34.1831i | 0.649062 | + | 1.36952i | ||||
\(624\) | 15.3365 | + | 13.9037i | 0.613951 | + | 0.556594i | ||||
\(625\) | −24.9196 | + | 2.00286i | −0.996786 | + | 0.0801142i | ||||
\(626\) | 22.5146i | 0.899863i | ||||||||
\(627\) | −17.4766 | − | 27.1129i | −0.697947 | − | 1.08278i | ||||
\(628\) | 31.8362 | + | 31.8362i | 1.27040 | + | 1.27040i | ||||
\(629\) | 1.33765 | 0.0533356 | ||||||||
\(630\) | −24.3102 | − | 38.7280i | −0.968541 | − | 1.54296i | ||||
\(631\) | −17.9963 | −0.716422 | −0.358211 | − | 0.933641i | \(-0.616613\pi\) | ||||
−0.358211 | + | 0.933641i | \(0.616613\pi\) | |||||||
\(632\) | −33.2826 | − | 33.2826i | −1.32391 | − | 1.32391i | ||||
\(633\) | −27.5998 | + | 1.35239i | −1.09699 | + | 0.0537529i | ||||
\(634\) | 4.15614i | 0.165061i | ||||||||
\(635\) | −3.57343 | + | 0.0716570i | −0.141807 | + | 0.00284362i | ||||
\(636\) | 4.23787 | − | 19.6096i | 0.168042 | − | 0.777572i | ||||
\(637\) | −4.17960 | + | 9.26359i | −0.165602 | + | 0.367037i | ||||
\(638\) | 16.0074 | − | 16.0074i | 0.633740 | − | 0.633740i | ||||
\(639\) | 19.6472 | + | 27.4323i | 0.777233 | + | 1.08521i | ||||
\(640\) | −0.317771 | − | 15.8468i | −0.0125610 | − | 0.626398i | ||||
\(641\) | 1.20017 | + | 2.07876i | 0.0474039 | + | 0.0821059i | 0.888754 | − | 0.458385i | \(-0.151572\pi\) |
−0.841350 | + | 0.540491i | \(0.818239\pi\) | |||||||
\(642\) | 1.73036 | + | 35.3134i | 0.0682919 | + | 1.39371i | ||||
\(643\) | 11.3399 | − | 42.3210i | 0.447201 | − | 1.66898i | −0.262859 | − | 0.964834i | \(-0.584665\pi\) |
0.710059 | − | 0.704142i | \(-0.248668\pi\) | |||||||
\(644\) | 63.1532 | − | 11.5428i | 2.48858 | − | 0.454850i | ||||
\(645\) | −9.57993 | + | 6.45057i | −0.377210 | + | 0.253991i | ||||
\(646\) | −2.74703 | −0.108081 | ||||||||
\(647\) | −8.07208 | − | 30.1254i | −0.317346 | − | 1.18435i | −0.921785 | − | 0.387701i | \(-0.873269\pi\) |
0.604439 | − | 0.796651i | \(-0.293397\pi\) | |||||||
\(648\) | 27.0219 | + | 54.8649i | 1.06152 | + | 2.15530i | ||||
\(649\) | 2.34024 | + | 4.05342i | 0.0918626 | + | 0.159111i | ||||
\(650\) | −9.99287 | − | 15.8086i | −0.391953 | − | 0.620066i | ||||
\(651\) | 12.5455 | + | 7.78969i | 0.491695 | + | 0.305302i | ||||
\(652\) | −27.8037 | + | 103.765i | −1.08888 | + | 4.06374i | ||||
\(653\) | −3.31208 | − | 12.3609i | −0.129612 | − | 0.483718i | 0.870350 | − | 0.492433i | \(-0.163892\pi\) |
−0.999962 | + | 0.00871531i | \(0.997226\pi\) | |||||||
\(654\) | −42.2313 | − | 9.12667i | −1.65137 | − | 0.356881i | ||||
\(655\) | −36.1006 | + | 10.4532i | −1.41057 | + | 0.408441i | ||||
\(656\) | −2.38422 | + | 1.37653i | −0.0930881 | + | 0.0537444i | ||||
\(657\) | 10.4930 | + | 8.61581i | 0.409370 | + | 0.336135i | ||||
\(658\) | 84.3567 | + | 6.84959i | 3.28857 | + | 0.267025i | ||||
\(659\) | −18.3805 | − | 10.6120i | −0.716002 | − | 0.413384i | 0.0972777 | − | 0.995257i | \(-0.468986\pi\) |
−0.813279 | + | 0.581874i | \(0.802320\pi\) | |||||||
\(660\) | −34.7121 | − | 30.2237i | −1.35117 | − | 1.17646i | ||||
\(661\) | − | 11.6112i | − | 0.451622i | −0.974171 | − | 0.225811i | \(-0.927497\pi\) | ||
0.974171 | − | 0.225811i | \(-0.0725032\pi\) | |||||||
\(662\) | 3.95206 | + | 3.95206i | 0.153601 | + | 0.153601i | ||||
\(663\) | −0.168603 | + | 0.328140i | −0.00654800 | + | 0.0127439i | ||||
\(664\) | −42.5540 | + | 73.7056i | −1.65141 | + | 2.86033i | ||||
\(665\) | −40.7765 | − | 13.6383i | −1.58124 | − | 0.528872i | ||||
\(666\) | −64.1824 | − | 29.1002i | −2.48702 | − | 1.12761i | ||||
\(667\) | −4.64356 | + | 17.3300i | −0.179799 | + | 0.671020i | ||||
\(668\) | 13.4453 | − | 50.1787i | 0.520216 | − | 1.94147i | ||||
\(669\) | 2.22874 | − | 10.3129i | 0.0861680 | − | 0.398720i | ||||
\(670\) | −47.8435 | − | 45.9625i | −1.84836 | − | 1.77568i | ||||
\(671\) | −17.2384 | + | 9.95258i | −0.665480 | + | 0.384215i | ||||
\(672\) | 33.9928 | − | 7.94987i | 1.31130 | − | 0.306673i | ||||
\(673\) | 8.37840 | + | 31.2686i | 0.322963 | + | 1.20532i | 0.916343 | + | 0.400393i | \(0.131127\pi\) |
−0.593380 | + | 0.804923i | \(0.702207\pi\) | |||||||
\(674\) | −33.9125 | + | 19.5794i | −1.30626 | + | 0.754170i | ||||
\(675\) | −4.82970 | − | 25.5279i | −0.185895 | − | 0.982570i | ||||
\(676\) | −25.2567 | + | 43.7460i | −0.971413 | + | 1.68254i | ||||
\(677\) | 10.1160 | − | 10.1160i | 0.388791 | − | 0.388791i | −0.485465 | − | 0.874256i | \(-0.661350\pi\) |
0.874256 | + | 0.485465i | \(0.161350\pi\) | |||||||
\(678\) | 77.7463 | − | 3.80958i | 2.98583 | − | 0.146306i | ||||
\(679\) | 5.07175 | + | 27.7486i | 0.194636 | + | 1.06490i | ||||
\(680\) | −2.14127 | + | 0.620021i | −0.0821139 | + | 0.0237767i | ||||
\(681\) | −13.6839 | + | 15.0941i | −0.524370 | + | 0.578406i | ||||
\(682\) | 20.5495 | + | 5.50622i | 0.786881 | + | 0.210844i | ||||
\(683\) | 0.455801 | + | 1.70107i | 0.0174407 | + | 0.0650897i | 0.974098 | − | 0.226127i | \(-0.0726065\pi\) |
−0.956657 | + | 0.291217i | \(0.905940\pi\) | |||||||
\(684\) | 92.0915 | + | 41.7542i | 3.52121 | + | 1.59651i | ||||
\(685\) | 4.17799 | + | 6.91262i | 0.159633 | + | 0.264118i | ||||
\(686\) | 24.6275 | + | 40.8679i | 0.940281 | + | 1.56034i | ||||
\(687\) | 21.5539 | + | 33.4384i | 0.822333 | + | 1.27575i | ||||
\(688\) | −6.35351 | − | 23.7116i | −0.242225 | − | 0.903996i | ||||
\(689\) | −3.62614 | −0.138145 | ||||||||
\(690\) | 51.2412 | + | 10.0029i | 1.95072 | + | 0.380805i | ||||
\(691\) | − | 34.4044i | − | 1.30880i | −0.756146 | − | 0.654402i | \(-0.772920\pi\) | ||
0.756146 | − | 0.654402i | \(-0.227080\pi\) | |||||||
\(692\) | −26.0701 | + | 26.0701i | −0.991038 | + | 0.991038i | ||||
\(693\) | −9.87051 | + | 17.7837i | −0.374950 | + | 0.675548i | ||||
\(694\) | − | 13.4276i | − | 0.509705i | ||||||
\(695\) | −12.4580 | − | 3.07179i | −0.472559 | − | 0.116520i | ||||
\(696\) | −8.52520 | + | 39.4481i | −0.323147 | + | 1.49528i | ||||
\(697\) | −0.0346935 | − | 0.0346935i | −0.00131411 | − | 0.00131411i | ||||
\(698\) | −21.7588 | + | 5.83027i | −0.823585 | + | 0.220679i | ||||
\(699\) | −10.2378 | + | 11.2928i | −0.387228 | + | 0.427132i | ||||
\(700\) | −61.2982 | − | 2.50973i | −2.31685 | − | 0.0948588i | ||||
\(701\) | 27.2945 | 1.03090 | 0.515449 | − | 0.856920i | \(-0.327625\pi\) | ||||
0.515449 | + | 0.856920i | \(0.327625\pi\) | |||||||
\(702\) | 15.2284 | − | 12.0767i | 0.574760 | − | 0.455807i | ||||
\(703\) | −64.0077 | + | 17.1508i | −2.41409 | + | 0.646855i | ||||
\(704\) | 7.01819 | − | 4.05196i | 0.264508 | − | 0.152714i | ||||
\(705\) | 43.2044 | + | 21.1151i | 1.62717 | + | 0.795241i | ||||
\(706\) | −21.2902 | + | 12.2919i | −0.801266 | + | 0.462611i | ||||
\(707\) | −16.1531 | + | 7.65552i | −0.607500 | + | 0.287915i | ||||
\(708\) | −13.0498 | − | 6.70517i | −0.490441 | − | 0.251996i | ||||
\(709\) | − | 38.1032i | − | 1.43099i | −0.698616 | − | 0.715497i | \(-0.746200\pi\) | ||
0.698616 | − | 0.715497i | \(-0.253800\pi\) | |||||||
\(710\) | 64.7825 | − | 1.29907i | 2.43124 | − | 0.0487531i | ||||
\(711\) | −16.8938 | + | 12.0995i | −0.633567 | + | 0.453765i | ||||
\(712\) | −93.8468 | − | 25.1462i | −3.51706 | − | 0.942392i | ||||
\(713\) | −16.2862 | + | 4.36387i | −0.609923 | + | 0.163428i | ||||
\(714\) | 0.817521 | + | 1.52703i | 0.0305949 | + | 0.0571476i | ||||
\(715\) | −4.01419 | + | 7.28635i | −0.150122 | + | 0.272494i | ||||
\(716\) | −27.1067 | + | 46.9501i | −1.01302 | + | 1.75461i | ||||
\(717\) | −1.05373 | − | 21.5047i | −0.0393523 | − | 0.803107i | ||||
\(718\) | 11.0646 | + | 2.96476i | 0.412929 | + | 0.110644i | ||||
\(719\) | −12.4379 | − | 21.5430i | −0.463854 | − | 0.803418i | 0.535295 | − | 0.844665i | \(-0.320200\pi\) |
−0.999149 | + | 0.0412469i | \(0.986867\pi\) | |||||||
\(720\) | 54.6522 | + | 7.91514i | 2.03677 | + | 0.294980i | ||||
\(721\) | 3.73038 | − | 0.681818i | 0.138926 | − | 0.0253922i | ||||
\(722\) | 84.1651 | − | 22.5520i | 3.13230 | − | 0.839297i | ||||
\(723\) | 0.222777 | + | 4.54646i | 0.00828517 | + | 0.169085i | ||||
\(724\) | −44.7777 | −1.66415 | ||||||||
\(725\) | 7.97032 | − | 15.1796i | 0.296010 | − | 0.563758i | ||||
\(726\) | 4.17908 | − | 19.3376i | 0.155100 | − | 0.717686i | ||||
\(727\) | 2.35088 | + | 8.77360i | 0.0871892 | + | 0.325395i | 0.995720 | − | 0.0924238i | \(-0.0294615\pi\) |
−0.908531 | + | 0.417818i | \(0.862795\pi\) | |||||||
\(728\) | −11.1788 | − | 23.5873i | −0.414316 | − | 0.874205i | ||||
\(729\) | 25.8433 | − | 7.81809i | 0.957160 | − | 0.289559i | ||||
\(730\) | 25.0432 | − | 7.25144i | 0.926889 | − | 0.268388i | ||||
\(731\) | 0.378874 | − | 0.218743i | 0.0140132 | − | 0.00809051i | ||||
\(732\) | 28.5157 | − | 55.4981i | 1.05397 | − | 2.05127i | ||||
\(733\) | −17.9843 | + | 4.81887i | −0.664265 | + | 0.177989i | −0.575170 | − | 0.818034i | \(-0.695064\pi\) |
−0.0890948 | + | 0.996023i | \(0.528397\pi\) | |||||||
\(734\) | 25.2619 | + | 43.7550i | 0.932435 | + | 1.61503i | ||||
\(735\) | 4.55382 | + | 26.7257i | 0.167970 | + | 0.985792i | ||||
\(736\) | −19.9297 | + | 34.5192i | −0.734617 | + | 1.27239i | ||||
\(737\) | −7.63792 | + | 28.5051i | −0.281346 | + | 1.05000i | ||||
\(738\) | 0.909896 | + | 2.41939i | 0.0334937 | + | 0.0890590i | ||||
\(739\) | 13.0461 | + | 7.53215i | 0.479907 | + | 0.277075i | 0.720378 | − | 0.693582i | \(-0.243968\pi\) |
−0.240471 | + | 0.970656i | \(0.577302\pi\) | |||||||
\(740\) | −80.9188 | + | 48.9074i | −2.97464 | + | 1.79787i | ||||
\(741\) | 3.86052 | − | 17.8635i | 0.141820 | − | 0.656233i | ||||
\(742\) | −9.67773 | + | 14.0066i | −0.355281 | + | 0.514200i | ||||
\(743\) | −28.4433 | − | 7.62136i | −1.04348 | − | 0.279601i | −0.303927 | − | 0.952695i | \(-0.598298\pi\) |
−0.739556 | + | 0.673095i | \(0.764965\pi\) | |||||||
\(744\) | −36.1113 | + | 11.5977i | −1.32390 | + | 0.425193i | ||||
\(745\) | −18.2658 | + | 5.28900i | −0.669206 | + | 0.193774i | ||||
\(746\) | −31.6609 | + | 54.8384i | −1.15919 | + | 2.00778i | ||||
\(747\) | 29.0385 | + | 23.8435i | 1.06246 | + | 0.872389i | ||||
\(748\) | 1.23282 | + | 1.23282i | 0.0450764 | + | 0.0450764i | ||||
\(749\) | 7.04642 | − | 19.7427i | 0.257471 | − | 0.721383i | ||||
\(750\) | −45.6662 | − | 20.0921i | −1.66749 | − | 0.733660i | ||||
\(751\) | −22.3214 | + | 38.6618i | −0.814519 | + | 1.41079i | 0.0951538 | + | 0.995463i | \(0.469666\pi\) |
−0.909673 | + | 0.415326i | \(0.863668\pi\) | |||||||
\(752\) | −72.2747 | + | 72.2747i | −2.63559 | + | 2.63559i | ||||
\(753\) | −0.107979 | − | 0.0554809i | −0.00393496 | − | 0.00202184i | ||||
\(754\) | 12.8259 | 0.467091 | ||||||||
\(755\) | 8.10517 | + | 1.99851i | 0.294978 | + | 0.0727331i | ||||
\(756\) | −4.19613 | − | 63.6181i | −0.152612 | − | 2.31377i | ||||
\(757\) | 18.5522 | + | 18.5522i | 0.674292 | + | 0.674292i | 0.958703 | − | 0.284410i | \(-0.0917978\pi\) |
−0.284410 | + | 0.958703i | \(0.591798\pi\) | |||||||
\(758\) | 26.2987 | − | 26.2987i | 0.955210 | − | 0.955210i | ||||
\(759\) | −7.10116 | − | 22.1105i | −0.257756 | − | 0.802562i | ||||
\(760\) | 94.5118 | − | 57.1230i | 3.42830 | − | 2.07207i | ||||
\(761\) | 8.97948 | + | 5.18431i | 0.325506 | + | 0.187931i | 0.653844 | − | 0.756629i | \(-0.273155\pi\) |
−0.328338 | + | 0.944560i | \(0.606489\pi\) | |||||||
\(762\) | −6.34422 | − | 3.25975i | −0.229827 | − | 0.118088i | ||||
\(763\) | 21.0756 | + | 14.5620i | 0.762989 | + | 0.527179i | ||||
\(764\) | − | 41.1189i | − | 1.48763i | ||||||
\(765\) | 0.115833 | + | 0.977313i | 0.00418797 | + | 0.0353348i | ||||
\(766\) | −81.0103 | − | 46.7713i | −2.92702 | − | 1.68992i | ||||
\(767\) | −0.686337 | + | 2.56145i | −0.0247822 | + | 0.0924884i | ||||
\(768\) | 19.4624 | − | 37.8783i | 0.702290 | − | 1.36682i | ||||
\(769\) | −9.43313 | − | 16.3387i | −0.340167 | − | 0.589187i | 0.644296 | − | 0.764776i | \(-0.277150\pi\) |
−0.984464 | + | 0.175589i | \(0.943817\pi\) | |||||||
\(770\) | 17.4315 | + | 34.9520i | 0.628187 | + | 1.25958i | ||||
\(771\) | −14.3624 | − | 3.10389i | −0.517250 | − | 0.111784i | ||||
\(772\) | −36.6400 | − | 36.6400i | −1.31870 | − | 1.31870i | ||||
\(773\) | 38.8472 | − | 10.4091i | 1.39724 | − | 0.374388i | 0.519885 | − | 0.854236i | \(-0.325975\pi\) |
0.877352 | + | 0.479848i | \(0.159308\pi\) | |||||||
\(774\) | −22.9376 | + | 2.25331i | −0.824477 | + | 0.0809934i | ||||
\(775\) | 16.0993 | − | 0.645930i | 0.578304 | − | 0.0232025i | ||||
\(776\) | −62.7439 | − | 36.2252i | −2.25238 | − | 1.30041i | ||||
\(777\) | 28.5826 | + | 30.4766i | 1.02539 | + | 1.09334i | ||||
\(778\) | 18.1863 | + | 4.87301i | 0.652011 | + | 0.174706i | ||||
\(779\) | 2.10494 | + | 1.21528i | 0.0754171 | + | 0.0435421i | ||||
\(780\) | −1.79816 | − | 26.0148i | −0.0643845 | − | 0.931478i | ||||
\(781\) | −14.4109 | − | 24.9604i | −0.515662 | − | 0.893153i | ||||
\(782\) | −1.91027 | − | 0.511856i | −0.0683112 | − | 0.0183039i | ||||
\(783\) | 16.5681 | + | 6.55450i | 0.592096 | + | 0.234239i | ||||
\(784\) | −56.8696 | − | 9.29669i | −2.03106 | − | 0.332025i | ||||
\(785\) | −0.435226 | − | 21.7041i | −0.0155339 | − | 0.774651i | ||||
\(786\) | −73.3106 | − | 15.8433i | −2.61490 | − | 0.565110i | ||||
\(787\) | 8.57004 | − | 8.57004i | 0.305489 | − | 0.305489i | −0.537668 | − | 0.843157i | \(-0.680695\pi\) |
0.843157 | + | 0.537668i | \(0.180695\pi\) | |||||||
\(788\) | 17.1626 | − | 17.1626i | 0.611394 | − | 0.611394i | ||||
\(789\) | 4.99312 | − | 5.50766i | 0.177760 | − | 0.196078i | ||||
\(790\) | 0.800010 | + | 39.8953i | 0.0284631 | + | 1.41941i | ||||
\(791\) | −43.4658 | − | 15.5135i | −1.54546 | − | 0.551595i | ||||
\(792\) | −18.3891 | − | 48.8961i | −0.653427 | − | 1.73745i | ||||
\(793\) | −10.8933 | − | 2.91885i | −0.386833 | − | 0.103652i | ||||
\(794\) | 24.3451 | + | 42.1669i | 0.863974 | + | 1.49645i | ||||
\(795\) | −8.02385 | + | 5.40279i | −0.284577 | + | 0.191617i | ||||
\(796\) | 44.3011 | + | 25.5773i | 1.57021 | + | 0.906563i | ||||
\(797\) | 23.8754 | + | 6.39740i | 0.845711 | + | 0.226608i | 0.655556 | − | 0.755146i | \(-0.272434\pi\) |
0.190155 | + | 0.981754i | \(0.439101\pi\) | |||||||
\(798\) | −58.6979 | − | 62.5876i | −2.07788 | − | 2.21558i | ||||
\(799\) | −1.57754 | − | 0.910791i | −0.0558092 | − | 0.0322215i | ||||
\(800\) | 25.8323 | − | 27.9918i | 0.913309 | − | 0.989659i | ||||
\(801\) | −17.7120 | + | 39.0650i | −0.625823 | + | 1.38029i | ||||
\(802\) | 22.4524 | − | 6.01609i | 0.792821 | − | 0.212436i | ||||
\(803\) | −8.20037 | − | 8.20037i | −0.289385 | − | 0.289385i | ||||
\(804\) | −28.2865 | − | 88.0742i | −0.997586 | − | 3.10614i | ||||
\(805\) | −25.8145 | − | 17.0819i | −0.909841 | − | 0.602058i | ||||
\(806\) | 6.02668 | + | 10.4385i | 0.212281 | + | 0.367681i | ||||
\(807\) | 12.4473 | + | 19.3105i | 0.438166 | + | 0.679763i | ||||
\(808\) | 11.8827 | − | 44.3469i | 0.418033 | − | 1.56012i | ||||
\(809\) | 40.4340 | + | 23.3446i | 1.42158 | + | 0.820752i | 0.996434 | − | 0.0843718i | \(-0.0268883\pi\) |
0.425149 | + | 0.905123i | \(0.360222\pi\) | |||||||
\(810\) | 15.7033 | − | 49.4129i | 0.551759 | − | 1.73619i | ||||
\(811\) | 41.6690i | 1.46320i | 0.681737 | + | 0.731598i | \(0.261225\pi\) | ||||
−0.681737 | + | 0.731598i | \(0.738775\pi\) | |||||||
\(812\) | 23.9165 | − | 34.6145i | 0.839305 | − | 1.21473i | ||||
\(813\) | −0.645528 | − | 13.1740i | −0.0226396 | − | 0.462032i | ||||
\(814\) | 52.1300 | + | 30.0973i | 1.82716 | + | 1.05491i | ||||
\(815\) | 44.3286 | − | 26.7922i | 1.55276 | − | 0.938491i | ||||
\(816\) | −2.04463 | − | 0.441868i | −0.0715764 | − | 0.0154685i | ||||
\(817\) | −15.3248 | + | 15.3248i | −0.536147 | + | 0.536147i | ||||
\(818\) | −27.7507 | − | 27.7507i | −0.970280 | − | 0.970280i | ||||
\(819\) | −11.0789 | + | 3.17021i | −0.387128 | + | 0.110776i | ||||
\(820\) | 3.36719 | + | 0.830253i | 0.117587 | + | 0.0289937i | ||||
\(821\) | −32.1226 | −1.12109 | −0.560543 | − | 0.828125i | \(-0.689407\pi\) | ||||
−0.560543 | + | 0.828125i | \(0.689407\pi\) | |||||||
\(822\) | 0.788886 | + | 16.0997i | 0.0275156 | + | 0.561541i | ||||
\(823\) | −3.36631 | + | 3.36631i | −0.117342 | + | 0.117342i | −0.763340 | − | 0.645997i | \(-0.776442\pi\) |
0.645997 | + | 0.763340i | \(0.276442\pi\) | |||||||
\(824\) | −4.86992 | + | 8.43495i | −0.169652 | + | 0.293846i | ||||
\(825\) | 1.97383 | + | 22.1041i | 0.0687200 | + | 0.769565i | ||||
\(826\) | 8.06230 | + | 9.48729i | 0.280523 | + | 0.330105i | ||||
\(827\) | −22.9245 | − | 22.9245i | −0.797164 | − | 0.797164i | 0.185484 | − | 0.982647i | \(-0.440615\pi\) |
−0.982647 | + | 0.185484i | \(0.940615\pi\) | |||||||
\(828\) | 56.2598 | + | 46.1951i | 1.95516 | + | 1.60539i | ||||
\(829\) | −19.2394 | + | 33.3237i | −0.668213 | + | 1.15738i | 0.310191 | + | 0.950674i | \(0.399607\pi\) |
−0.978403 | + | 0.206704i | \(0.933726\pi\) | |||||||
\(830\) | 69.3049 | − | 20.0678i | 2.40561 | − | 0.696563i | ||||
\(831\) | −24.8592 | − | 22.5368i | −0.862356 | − | 0.781793i | ||||
\(832\) | 4.43495 | + | 1.18834i | 0.153754 | + | 0.0411983i | ||||
\(833\) | −0.102279 | − | 1.02186i | −0.00354376 | − | 0.0354052i | ||||
\(834\) | −18.9708 | − | 17.1985i | −0.656905 | − | 0.595535i | ||||
\(835\) | −21.4365 | + | 12.9562i | −0.741841 | + | 0.448369i | ||||
\(836\) | −74.7983 | − | 43.1848i | −2.58695 | − | 1.49358i | ||||
\(837\) | 2.45062 | + | 16.5640i | 0.0847059 | + | 0.572537i | ||||
\(838\) | 13.2251 | − | 49.3567i | 0.456853 | − | 1.70500i | ||||
\(839\) | −0.352940 | + | 0.611311i | −0.0121849 | + | 0.0211048i | −0.872054 | − | 0.489410i | \(-0.837212\pi\) |
0.859869 | + | 0.510515i | \(0.170545\pi\) | |||||||
\(840\) | −59.8804 | − | 35.5375i | −2.06607 | − | 1.22616i | ||||
\(841\) | −8.62105 | − | 14.9321i | −0.297277 | − | 0.514900i | ||||
\(842\) | 21.2765 | − | 5.70102i | 0.733236 | − | 0.196470i | ||||
\(843\) | 10.5381 | + | 16.3486i | 0.362950 | + | 0.563074i | ||||
\(844\) | −64.0751 | + | 36.9938i | −2.20556 | + | 1.27338i | ||||
\(845\) | 23.3947 | − | 6.77410i | 0.804800 | − | 0.233036i | ||||
\(846\) | 55.8785 | + | 78.0200i | 1.92114 | + | 2.68238i | ||||
\(847\) | −6.66790 | + | 9.65049i | −0.229112 | + | 0.331595i | ||||
\(848\) | −5.32149 | − | 19.8601i | −0.182741 | − | 0.681998i | ||||
\(849\) | −5.55656 | + | 1.78458i | −0.190701 | + | 0.0612466i | ||||
\(850\) | 1.67324 | + | 0.878562i | 0.0573917 | + | 0.0301344i | ||||
\(851\) | −47.7063 | −1.63535 | ||||||||
\(852\) | 80.3587 | + | 41.2895i | 2.75305 | + | 1.41455i | ||||
\(853\) | 8.22685 | − | 2.20438i | 0.281682 | − | 0.0754765i | −0.115212 | − | 0.993341i | \(-0.536755\pi\) |
0.396894 | + | 0.917864i | \(0.370088\pi\) | |||||||
\(854\) | −40.3475 | + | 34.2873i | −1.38066 | + | 1.17329i | ||||
\(855\) | −18.0734 | − | 45.2801i | −0.618098 | − | 1.54855i | ||||
\(856\) | 26.9201 | + | 46.6270i | 0.920111 | + | 1.59368i | ||||
\(857\) | −40.0859 | − | 10.7410i | −1.36931 | − | 0.366905i | −0.502083 | − | 0.864820i | \(-0.667433\pi\) |
−0.867226 | + | 0.497914i | \(0.834099\pi\) | |||||||
\(858\) | −13.9539 | + | 8.99448i | −0.476378 | + | 0.307066i | ||||
\(859\) | −12.6915 | + | 21.9824i | −0.433029 | + | 0.750029i | −0.997132 | − | 0.0756757i | \(-0.975889\pi\) |
0.564103 | + | 0.825704i | \(0.309222\pi\) | |||||||
\(860\) | −14.9216 | + | 27.0849i | −0.508823 | + | 0.923589i | ||||
\(861\) | 0.0491240 | − | 1.53177i | 0.00167414 | − | 0.0522024i | ||||
\(862\) | 41.6735 | − | 11.1664i | 1.41941 | − | 0.380329i | ||||
\(863\) | 20.6991 | + | 5.54630i | 0.704604 | + | 0.188798i | 0.593292 | − | 0.804987i | \(-0.297828\pi\) |
0.111312 | + | 0.993785i | \(0.464495\pi\) | |||||||
\(864\) | 31.7854 | + | 23.5924i | 1.08136 | + | 0.802629i | ||||
\(865\) | 17.7731 | − | 0.356400i | 0.604304 | − | 0.0121180i | ||||
\(866\) | − | 35.6905i | − | 1.21281i | ||||||
\(867\) | 1.43925 | + | 29.3723i | 0.0488794 | + | 0.997537i | ||||
\(868\) | 39.4095 | + | 3.19997i | 1.33765 | + | 0.108614i | ||||
\(869\) | 15.3715 | − | 8.87473i | 0.521442 | − | 0.301055i | ||||
\(870\) | 28.3808 | − | 19.1100i | 0.962200 | − | 0.647890i | ||||
\(871\) | −14.4797 | + | 8.35986i | −0.490626 | + | 0.283263i | ||||
\(872\) | −63.5531 | + | 17.0290i | −2.15218 | + | 0.576675i | ||||
\(873\) | −20.2975 | + | 24.7198i | −0.686965 | + | 0.836638i | ||||
\(874\) | 97.9709 | 3.31391 | ||||||||
\(875\) | 20.4754 | + | 21.3484i | 0.692197 | + | 0.721709i | ||||
\(876\) | 35.5323 | + | 7.67894i | 1.20053 | + | 0.259448i | ||||
\(877\) | 37.0556 | − | 9.92902i | 1.25128 | − | 0.335279i | 0.428449 | − | 0.903566i | \(-0.359060\pi\) |
0.822830 | + | 0.568287i | \(0.192394\pi\) | |||||||
\(878\) | −5.51319 | − | 5.51319i | −0.186061 | − | 0.186061i | ||||
\(879\) | 0.294516 | + | 0.267002i | 0.00993378 | + | 0.00900574i | ||||
\(880\) | −45.7978 | − | 11.2924i | −1.54384 | − | 0.380668i | ||||
\(881\) | 10.3665i | 0.349256i | 0.984634 | + | 0.174628i | \(0.0558724\pi\) | ||||
−0.984634 | + | 0.174628i | \(0.944128\pi\) | |||||||
\(882\) | −17.3227 | + | 51.2553i | −0.583287 | + | 1.72585i | ||||
\(883\) | −19.9825 | + | 19.9825i | −0.672465 | + | 0.672465i | −0.958284 | − | 0.285818i | \(-0.907735\pi\) |
0.285818 | + | 0.958284i | \(0.407735\pi\) | |||||||
\(884\) | 0.987793i | 0.0332231i | ||||||||
\(885\) | 2.29773 | + | 6.69053i | 0.0772374 | + | 0.224900i | ||||
\(886\) | −26.3597 | −0.885570 | ||||||||
\(887\) | −0.393512 | − | 1.46861i | −0.0132128 | − | 0.0493110i | 0.959005 | − | 0.283390i | \(-0.0914592\pi\) |
−0.972218 | + | 0.234079i | \(0.924792\pi\) | |||||||
\(888\) | −107.186 | + | 5.25214i | −3.59693 | + | 0.176250i | ||||
\(889\) | 2.73852 | + | 3.22255i | 0.0918470 | + | 0.108081i | ||||
\(890\) | 42.6053 | + | 70.4918i | 1.42813 | + | 2.36289i | ||||
\(891\) | −22.6218 | + | 4.48786i | −0.757857 | + | 0.150349i | ||||
\(892\) | −7.31175 | − | 27.2878i | −0.244815 | − | 0.913663i | ||||
\(893\) | 87.1642 | + | 23.3556i | 2.91684 | + | 0.781565i | ||||
\(894\) | −37.0929 | − | 8.01620i | −1.24057 | − | 0.268102i | ||||
\(895\) | 25.1082 | − | 7.27027i | 0.839274 | − | 0.243018i | ||||
\(896\) | −14.2907 | + | 12.1443i | −0.477420 | + | 0.405712i | ||||
\(897\) | 6.01310 | − | 11.7029i | 0.200772 | − | 0.390747i | ||||
\(898\) | 47.3041 | − | 47.3041i | 1.57856 | − | 1.57856i | ||||
\(899\) | −5.52486 | + | 9.56934i | −0.184264 | + | 0.319155i | ||||
\(900\) | −42.7398 | − | 54.8857i | −1.42466 | − | 1.82952i | ||||
\(901\) | 0.317333 | − | 0.183212i | 0.0105719 | − | 0.00610369i | ||||
\(902\) | −0.571444 | − | 2.13266i | −0.0190270 | − | 0.0710097i | ||||
\(903\) | 13.0795 | + | 3.95811i | 0.435257 | + | 0.131718i | ||||
\(904\) | 102.655 | − | 59.2676i | 3.41424 | − | 1.97121i | ||||
\(905\) | 15.5695 | + | 14.9573i | 0.517548 | + | 0.497199i | ||||
\(906\) | 12.3424 | + | 11.1893i | 0.410049 | + | 0.371741i | ||||
\(907\) | 7.94764 | − | 29.6610i | 0.263897 | − | 0.984877i | −0.699025 | − | 0.715097i | \(-0.746382\pi\) |
0.962922 | − | 0.269780i | \(-0.0869510\pi\) | |||||||
\(908\) | −14.1187 | + | 52.6917i | −0.468545 | + | 1.74864i | ||||
\(909\) | −18.4600 | − | 8.36975i | −0.612280 | − | 0.277607i | ||||
\(910\) | −7.01910 | + | 20.9860i | −0.232681 | + | 0.695679i | ||||
\(911\) | 22.0555 | − | 38.2012i | 0.730731 | − | 1.26566i | −0.225841 | − | 0.974164i | \(-0.572513\pi\) |
0.956571 | − | 0.291498i | \(-0.0941538\pi\) | |||||||
\(912\) | 103.503 | − | 5.07164i | 3.42731 | − | 0.167939i | ||||
\(913\) | −22.6939 | − | 22.6939i | −0.751057 | − | 0.751057i | ||||
\(914\) | 17.6074i | 0.582402i | ||||||||
\(915\) | −28.4535 | + | 9.77179i | −0.940642 | + | 0.323045i | ||||
\(916\) | 92.2490 | + | 53.2600i | 3.04799 | + | 1.75976i | ||||
\(917\) | 36.5858 | + | 25.2786i | 1.20817 | + | 0.834773i | ||||
\(918\) | −0.722498 | + | 1.82629i | −0.0238460 | + | 0.0602766i | ||||
\(919\) | 14.0265 | − | 8.09821i | 0.462692 | − | 0.267135i | −0.250484 | − | 0.968121i | \(-0.580590\pi\) |
0.713175 | + | 0.700986i | \(0.247256\pi\) | |||||||
\(920\) | 76.3667 | − | 22.1126i | 2.51774 | − | 0.729030i | ||||
\(921\) | 0.389413 | + | 1.21250i | 0.0128316 | + | 0.0399531i | ||||
\(922\) | 3.51181 | + | 13.1062i | 0.115655 | + | 0.431631i | ||||
\(923\) | 4.22637 | − | 15.7730i | 0.139113 | − | 0.519175i | ||||
\(924\) | −1.74561 | + | 54.4309i | −0.0574263 | + | 1.79064i | ||||
\(925\) | 44.4728 | + | 10.0244i | 1.46226 | + | 0.329599i | ||||
\(926\) | −44.5827 | − | 77.2194i | −1.46508 | − | 2.53759i | ||||
\(927\) | 3.32319 | + | 2.72868i | 0.109148 | + | 0.0896217i | ||||
\(928\) | 6.76086 | + | 25.2319i | 0.221936 | + | 0.828277i | ||||
\(929\) | 16.5150 | 0.541840 | 0.270920 | − | 0.962602i | \(-0.412672\pi\) | ||||
0.270920 | + | 0.962602i | \(0.412672\pi\) | |||||||
\(930\) | 28.8886 | + | 14.1186i | 0.947296 | + | 0.462968i | ||||
\(931\) | 17.9960 | + | 47.5853i | 0.589794 | + | 1.55955i | ||||
\(932\) | −10.5630 | + | 39.4218i | −0.346004 | + | 1.29130i | ||||
\(933\) | −10.9746 | − | 5.63890i | −0.359292 | − | 0.184609i | ||||
\(934\) | 35.2469 | + | 61.0494i | 1.15331 | + | 1.99760i | ||||
\(935\) | −0.0168537 | − | 0.840467i | −0.000551174 | − | 0.0274862i | ||||
\(936\) | 12.2218 | − | 26.9559i | 0.399482 | − | 0.881082i | ||||
\(937\) | 7.86161 | − | 7.86161i | 0.256828 | − | 0.256828i | −0.566935 | − | 0.823763i | \(-0.691871\pi\) |
0.823763 | + | 0.566935i | \(0.191871\pi\) | |||||||
\(938\) | −6.35309 | + | 78.2420i | −0.207436 | + | 2.55469i | ||||
\(939\) | 14.4113 | − | 4.62841i | 0.470294 | − | 0.151042i | ||||
\(940\) | 128.731 | − | 2.58140i | 4.19873 | − | 0.0841961i | ||||
\(941\) | − | 37.2563i | − | 1.21452i | −0.794503 | − | 0.607260i | \(-0.792268\pi\) | ||
0.794503 | − | 0.607260i | \(-0.207732\pi\) | |||||||
\(942\) | 19.7989 | − | 38.5332i | 0.645083 | − | 1.25548i | ||||
\(943\) | 1.23732 | + | 1.23732i | 0.0402925 | + | 0.0402925i | ||||
\(944\) | −15.0361 | −0.489382 | ||||||||
\(945\) | −19.7917 | + | 23.5221i | −0.643824 | + | 0.765174i | ||||
\(946\) | 19.6870 | 0.640079 | ||||||||
\(947\) | −29.4636 | − | 29.4636i | −0.957440 | − | 0.957440i | 0.0416907 | − | 0.999131i | \(-0.486726\pi\) |
−0.999131 | + | 0.0416907i | \(0.986726\pi\) | |||||||
\(948\) | −25.4275 | + | 49.4877i | −0.825847 | + | 1.60729i | ||||
\(949\) | − | 6.57051i | − | 0.213288i | ||||||
\(950\) | −91.3305 | − | 20.5863i | −2.96315 | − | 0.667908i | ||||
\(951\) | 2.66029 | − | 0.854394i | 0.0862657 | − | 0.0277056i | ||||
\(952\) | 2.17005 | + | 1.49937i | 0.0703318 | + | 0.0485950i | ||||
\(953\) | −19.4779 | + | 19.4779i | −0.630953 | + | 0.630953i | −0.948307 | − | 0.317354i | \(-0.897206\pi\) |
0.317354 | + | 0.948307i | \(0.397206\pi\) | |||||||
\(954\) | −19.2118 | + | 1.88730i | −0.622007 | + | 0.0611035i | ||||
\(955\) | −13.7352 | + | 14.2973i | −0.444460 | + | 0.462650i | ||||
\(956\) | −28.8241 | − | 49.9248i | −0.932238 | − | 1.61468i | ||||
\(957\) | −13.5368 | − | 6.95542i | −0.437584 | − | 0.224837i | ||||
\(958\) | −9.65727 | + | 36.0414i | −0.312012 | + | 1.16445i | ||||
\(959\) | 3.21252 | − | 9.00087i | 0.103738 | − | 0.290653i | ||||
\(960\) | 11.5841 | − | 3.97835i | 0.373877 | − | 0.128401i | ||||
\(961\) | 20.6158 | 0.665026 | ||||||||
\(962\) | 8.82682 | + | 32.9421i | 0.284588 | + | 1.06210i | ||||
\(963\) | 22.2479 | − | 8.36710i | 0.716929 | − | 0.269626i | ||||
\(964\) | 6.09391 | + | 10.5550i | 0.196272 | + | 0.339952i | ||||
\(965\) | 0.500897 | + | 24.9790i | 0.0161245 | + | 0.804103i | ||||
\(966\) | −29.1562 | − | 54.4602i | −0.938086 | − | 1.75223i | ||||
\(967\) | −2.97813 | + | 11.1145i | −0.0957702 | + | 0.357419i | −0.997135 | − | 0.0756411i | \(-0.975900\pi\) |
0.901365 | + | 0.433060i | \(0.142566\pi\) | |||||||
\(968\) | −7.79755 | − | 29.1008i | −0.250623 | − | 0.935337i | ||||
\(969\) | 0.564719 | + | 1.75834i | 0.0181414 | + | 0.0564860i | ||||
\(970\) | 17.0832 | + | 58.9977i | 0.548510 | + | 1.89430i | ||||
\(971\) | −13.3091 | + | 7.68402i | −0.427110 | + | 0.246592i | −0.698115 | − | 0.715986i | \(-0.745977\pi\) |
0.271005 | + | 0.962578i | \(0.412644\pi\) | |||||||
\(972\) | 51.9801 | − | 50.2427i | 1.66726 | − | 1.61154i | ||||
\(973\) | 6.50201 | + | 13.7192i | 0.208445 | + | 0.439818i | ||||
\(974\) | 11.4960 | + | 6.63720i | 0.368355 | + | 0.212670i | ||||
\(975\) | −8.06462 | + | 9.64615i | −0.258275 | + | 0.308924i | ||||
\(976\) | − | 63.9453i | − | 2.04684i | ||||||
\(977\) | −11.4610 | − | 11.4610i | −0.366670 | − | 0.366670i | 0.499591 | − | 0.866261i | \(-0.333484\pi\) |
−0.866261 | + | 0.499591i | \(0.833484\pi\) | |||||||
\(978\) | 103.242 | − | 5.05889i | 3.30133 | − | 0.161766i | ||||
\(979\) | 18.3189 | − | 31.7292i | 0.585474 | − | 1.01407i | ||||
\(980\) | 43.5485 | + | 58.0759i | 1.39110 | + | 1.85517i | ||||
\(981\) | 2.83980 | + | 28.9079i | 0.0906677 | + | 0.922957i | ||||
\(982\) | −19.0783 | + | 71.2013i | −0.608814 | + | 2.27212i | ||||
\(983\) | 3.44729 | − | 12.8654i | 0.109951 | − | 0.410344i | −0.888908 | − | 0.458085i | \(-0.848536\pi\) |
0.998860 | + | 0.0477410i | \(0.0152022\pi\) | |||||||
\(984\) | 2.91621 | + | 2.64377i | 0.0929655 | + | 0.0842804i | ||||
\(985\) | −11.7005 | + | 0.234627i | −0.372809 | + | 0.00747584i | ||||
\(986\) | −1.12243 | + | 0.648033i | −0.0357453 | + | 0.0206376i | ||||
\(987\) | −12.9572 | − | 55.4036i | −0.412433 | − | 1.76352i | ||||
\(988\) | −12.6651 | − | 47.2667i | −0.402929 | − | 1.50375i | ||||
\(989\) | −13.5123 | + | 7.80131i | −0.429665 | + | 0.248067i | ||||
\(990\) | −17.4755 | + | 40.6935i | −0.555407 | + | 1.29332i | ||||
\(991\) | 4.77055 | − | 8.26284i | 0.151542 | − | 0.262478i | −0.780253 | − | 0.625464i | \(-0.784910\pi\) |
0.931794 | + | 0.362987i | \(0.118243\pi\) | |||||||
\(992\) | −17.3585 | + | 17.3585i | −0.551132 | + | 0.551132i | ||||
\(993\) | 1.71722 | − | 3.34210i | 0.0544943 | − | 0.106058i | ||||
\(994\) | −49.6465 | − | 58.4214i | −1.57469 | − | 1.85301i | ||||
\(995\) | −6.86007 | − | 23.6916i | −0.217479 | − | 0.751073i | ||||
\(996\) | 98.3328 | + | 21.2509i | 3.11579 | + | 0.673359i | ||||
\(997\) | −5.77829 | − | 1.54829i | −0.183000 | − | 0.0490348i | 0.166155 | − | 0.986100i | \(-0.446865\pi\) |
−0.349155 | + | 0.937065i | \(0.613531\pi\) | |||||||
\(998\) | −15.7531 | − | 58.7914i | −0.498656 | − | 1.86101i | ||||
\(999\) | −5.43243 | + | 47.0646i | −0.171874 | + | 1.48906i |
(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 | 315.2.bs.e.52.3 | ✓ | 160 | |
3.2 | odd | 2 | 945.2.bv.e.262.38 | 160 | |||
5.3 | odd | 4 | inner | 315.2.bs.e.178.3 | yes | 160 | |
7.5 | odd | 6 | 315.2.cg.e.187.3 | yes | 160 | ||
9.4 | even | 3 | 315.2.cg.e.157.38 | yes | 160 | ||
9.5 | odd | 6 | 945.2.cj.e.577.3 | 160 | |||
15.8 | even | 4 | 945.2.bv.e.73.38 | 160 | |||
21.5 | even | 6 | 945.2.cj.e.397.38 | 160 | |||
35.33 | even | 12 | 315.2.cg.e.313.38 | yes | 160 | ||
45.13 | odd | 12 | 315.2.cg.e.283.3 | yes | 160 | ||
45.23 | even | 12 | 945.2.cj.e.388.38 | 160 | |||
63.5 | even | 6 | 945.2.bv.e.712.38 | 160 | |||
63.40 | odd | 6 | inner | 315.2.bs.e.292.3 | yes | 160 | |
105.68 | odd | 12 | 945.2.cj.e.208.3 | 160 | |||
315.68 | odd | 12 | 945.2.bv.e.523.38 | 160 | |||
315.103 | even | 12 | inner | 315.2.bs.e.103.3 | yes | 160 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
315.2.bs.e.52.3 | ✓ | 160 | 1.1 | even | 1 | trivial | |
315.2.bs.e.103.3 | yes | 160 | 315.103 | even | 12 | inner | |
315.2.bs.e.178.3 | yes | 160 | 5.3 | odd | 4 | inner | |
315.2.bs.e.292.3 | yes | 160 | 63.40 | odd | 6 | inner | |
315.2.cg.e.157.38 | yes | 160 | 9.4 | even | 3 | ||
315.2.cg.e.187.3 | yes | 160 | 7.5 | odd | 6 | ||
315.2.cg.e.283.3 | yes | 160 | 45.13 | odd | 12 | ||
315.2.cg.e.313.38 | yes | 160 | 35.33 | even | 12 | ||
945.2.bv.e.73.38 | 160 | 15.8 | even | 4 | |||
945.2.bv.e.262.38 | 160 | 3.2 | odd | 2 | |||
945.2.bv.e.523.38 | 160 | 315.68 | odd | 12 | |||
945.2.bv.e.712.38 | 160 | 63.5 | even | 6 | |||
945.2.cj.e.208.3 | 160 | 105.68 | odd | 12 | |||
945.2.cj.e.388.38 | 160 | 45.23 | even | 12 | |||
945.2.cj.e.397.38 | 160 | 21.5 | even | 6 | |||
945.2.cj.e.577.3 | 160 | 9.5 | odd | 6 |