Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [507,2,Mod(16,507)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(507, base_ring=CyclotomicField(78))
chi = DirichletCharacter(H, H._module([0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("507.16");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 507 = 3 \cdot 13^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 507.q (of order \(39\), degree \(24\), 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: | \(4.04841538248\) |
Analytic rank: | \(0\) |
Dimension: | \(384\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{39})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{39}]$ |
Embedding invariants
Embedding label | 16.8 | ||
Character | \(\chi\) | \(=\) | 507.16 |
Dual form | 507.2.q.b.412.8 |
$q$-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 \(\left(\mathbb{Z}/507\mathbb{Z}\right)^\times\).
\(n\) | \(170\) | \(340\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{39}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.488381 | − | 0.0394262i | −0.345338 | − | 0.0278785i | −0.0934188 | − | 0.995627i | \(-0.529780\pi\) |
−0.251919 | + | 0.967748i | \(0.581062\pi\) | |||||||
\(3\) | −0.845190 | − | 0.534466i | −0.487971 | − | 0.308574i | ||||
\(4\) | −1.73714 | − | 0.282313i | −0.868569 | − | 0.141156i | ||||
\(5\) | −1.47540 | − | 1.30709i | −0.659817 | − | 0.584547i | 0.265329 | − | 0.964158i | \(-0.414519\pi\) |
−0.925146 | + | 0.379611i | \(0.876058\pi\) | |||||||
\(6\) | 0.391703 | + | 0.294346i | 0.159912 | + | 0.120166i | ||||
\(7\) | −2.51230 | + | 2.61558i | −0.949559 | + | 0.988596i | −0.999949 | − | 0.0101340i | \(-0.996774\pi\) |
0.0503897 | + | 0.998730i | \(0.483954\pi\) | |||||||
\(8\) | 1.78872 | + | 0.440880i | 0.632408 | + | 0.155875i | ||||
\(9\) | 0.428693 | + | 0.903450i | 0.142898 | + | 0.301150i | ||||
\(10\) | 0.669022 | + | 0.696526i | 0.211563 | + | 0.220261i | ||||
\(11\) | 1.12753 | − | 2.37622i | 0.339963 | − | 0.716456i | −0.659413 | − | 0.751781i | \(-0.729195\pi\) |
0.999376 | + | 0.0353246i | \(0.0112465\pi\) | |||||||
\(12\) | 1.31733 | + | 1.16705i | 0.380279 | + | 0.336898i | ||||
\(13\) | −2.54884 | + | 2.55018i | −0.706920 | + | 0.707294i | ||||
\(14\) | 1.33008 | − | 1.17835i | 0.355479 | − | 0.314927i | ||||
\(15\) | 0.548397 | + | 1.89329i | 0.141595 | + | 0.488844i | ||||
\(16\) | 2.48252 | + | 0.828787i | 0.620630 | + | 0.207197i | ||||
\(17\) | −0.712142 | + | 0.741418i | −0.172720 | + | 0.179820i | −0.801936 | − | 0.597410i | \(-0.796197\pi\) |
0.629216 | + | 0.777230i | \(0.283376\pi\) | |||||||
\(18\) | −0.173746 | − | 0.458130i | −0.0409523 | − | 0.107982i | ||||
\(19\) | 3.84634 | − | 6.66206i | 0.882411 | − | 1.52838i | 0.0337587 | − | 0.999430i | \(-0.489252\pi\) |
0.848652 | − | 0.528951i | \(-0.177414\pi\) | |||||||
\(20\) | 2.19396 | + | 2.68711i | 0.490584 | + | 0.600857i | ||||
\(21\) | 3.52131 | − | 0.867924i | 0.768412 | − | 0.189397i | ||||
\(22\) | −0.644349 | + | 1.11605i | −0.137376 | + | 0.237942i | ||||
\(23\) | 3.63512 | + | 6.29621i | 0.757975 | + | 1.31285i | 0.943882 | + | 0.330284i | \(0.107144\pi\) |
−0.185907 | + | 0.982567i | \(0.559522\pi\) | |||||||
\(24\) | −1.27617 | − | 1.32864i | −0.260498 | − | 0.271207i | ||||
\(25\) | −0.134366 | − | 1.10660i | −0.0268732 | − | 0.221321i | ||||
\(26\) | 1.34535 | − | 1.14497i | 0.263844 | − | 0.224547i | ||||
\(27\) | 0.120537 | − | 0.992709i | 0.0231973 | − | 0.191047i | ||||
\(28\) | 5.10262 | − | 3.83437i | 0.964304 | − | 0.724628i | ||||
\(29\) | 6.59247 | + | 0.532199i | 1.22419 | + | 0.0988269i | 0.675603 | − | 0.737266i | \(-0.263883\pi\) |
0.548588 | + | 0.836093i | \(0.315165\pi\) | |||||||
\(30\) | −0.193182 | − | 0.946266i | −0.0352700 | − | 0.172764i | ||||
\(31\) | −0.336720 | + | 2.77314i | −0.0604768 | + | 0.498071i | 0.930726 | + | 0.365718i | \(0.119176\pi\) |
−0.991203 | + | 0.132353i | \(0.957747\pi\) | |||||||
\(32\) | −4.56941 | − | 1.94684i | −0.807765 | − | 0.344157i | ||||
\(33\) | −2.22298 | + | 1.40573i | −0.386971 | + | 0.244706i | ||||
\(34\) | 0.377028 | − | 0.334018i | 0.0646598 | − | 0.0572836i | ||||
\(35\) | 7.12542 | − | 0.575223i | 1.20442 | − | 0.0972305i | ||||
\(36\) | −0.489643 | − | 1.69044i | −0.0816072 | − | 0.281741i | ||||
\(37\) | 7.28723 | − | 3.10480i | 1.19801 | − | 0.510426i | 0.301510 | − | 0.953463i | \(-0.402509\pi\) |
0.896503 | + | 0.443037i | \(0.146099\pi\) | |||||||
\(38\) | −2.14114 | + | 3.10198i | −0.347339 | + | 0.503207i | ||||
\(39\) | 3.51724 | − | 0.793125i | 0.563209 | − | 0.127002i | ||||
\(40\) | −2.06280 | − | 2.98848i | −0.326158 | − | 0.472521i | ||||
\(41\) | 7.57116 | + | 4.78771i | 1.18242 | + | 0.747715i | 0.973156 | − | 0.230145i | \(-0.0739200\pi\) |
0.209261 | + | 0.977860i | \(0.432894\pi\) | |||||||
\(42\) | −1.75396 | + | 0.285046i | −0.270642 | + | 0.0439836i | ||||
\(43\) | −5.85918 | − | 2.49636i | −0.893517 | − | 0.380692i | −0.104112 | − | 0.994566i | \(-0.533200\pi\) |
−0.789404 | + | 0.613874i | \(0.789610\pi\) | |||||||
\(44\) | −2.62951 | + | 3.80950i | −0.396413 | + | 0.574304i | ||||
\(45\) | 0.548397 | − | 1.89329i | 0.0817502 | − | 0.282234i | ||||
\(46\) | −1.52709 | − | 3.21827i | −0.225157 | − | 0.474508i | ||||
\(47\) | −4.17499 | + | 11.0086i | −0.608985 | + | 1.60576i | 0.174712 | + | 0.984620i | \(0.444100\pi\) |
−0.783698 | + | 0.621143i | \(0.786669\pi\) | |||||||
\(48\) | −1.65524 | − | 2.02730i | −0.238914 | − | 0.292616i | ||||
\(49\) | −0.247752 | − | 6.14790i | −0.0353931 | − | 0.878271i | ||||
\(50\) | 0.0219927 | + | 0.545742i | 0.00311023 | + | 0.0771796i | ||||
\(51\) | 0.998158 | − | 0.246024i | 0.139770 | − | 0.0344502i | ||||
\(52\) | 5.14763 | − | 3.71046i | 0.713848 | − | 0.514548i | ||||
\(53\) | −3.80665 | − | 0.938255i | −0.522884 | − | 0.128879i | −0.0309651 | − | 0.999520i | \(-0.509858\pi\) |
−0.491919 | + | 0.870641i | \(0.663704\pi\) | |||||||
\(54\) | −0.0980066 | + | 0.480068i | −0.0133370 | + | 0.0653290i | ||||
\(55\) | −4.76947 | + | 2.03208i | −0.643115 | + | 0.274006i | ||||
\(56\) | −5.64695 | + | 3.57092i | −0.754606 | + | 0.477184i | ||||
\(57\) | −6.81153 | + | 3.57497i | −0.902209 | + | 0.473516i | ||||
\(58\) | −3.19866 | − | 0.519832i | −0.420004 | − | 0.0682573i | ||||
\(59\) | 10.9870 | − | 3.66801i | 1.43039 | − | 0.477534i | 0.507183 | − | 0.861838i | \(-0.330687\pi\) |
0.923207 | + | 0.384304i | \(0.125559\pi\) | |||||||
\(60\) | −0.418143 | − | 3.44372i | −0.0539820 | − | 0.444582i | ||||
\(61\) | −3.85089 | + | 13.2948i | −0.493055 | + | 1.70222i | 0.198672 | + | 0.980066i | \(0.436337\pi\) |
−0.691728 | + | 0.722159i | \(0.743150\pi\) | |||||||
\(62\) | 0.273782 | − | 1.34107i | 0.0347704 | − | 0.170317i | ||||
\(63\) | −3.44005 | − | 1.14846i | −0.433405 | − | 0.144692i | ||||
\(64\) | −2.47999 | − | 1.30160i | −0.309999 | − | 0.162700i | ||||
\(65\) | 7.09385 | − | 0.430982i | 0.879884 | − | 0.0534568i | ||||
\(66\) | 1.14109 | − | 0.598888i | 0.140458 | − | 0.0737180i | ||||
\(67\) | −4.83779 | + | 0.786217i | −0.591030 | + | 0.0960517i | −0.448568 | − | 0.893749i | \(-0.648066\pi\) |
−0.142462 | + | 0.989800i | \(0.545502\pi\) | |||||||
\(68\) | 1.44640 | − | 1.08690i | 0.175402 | − | 0.131806i | ||||
\(69\) | 0.292743 | − | 7.26434i | 0.0352421 | − | 0.874524i | ||||
\(70\) | −3.50260 | −0.418641 | ||||||||
\(71\) | 0.197565 | − | 4.90252i | 0.0234466 | − | 0.581822i | −0.944179 | − | 0.329432i | \(-0.893143\pi\) |
0.967626 | − | 0.252389i | \(-0.0812163\pi\) | |||||||
\(72\) | 0.368498 | + | 1.80502i | 0.0434279 | + | 0.212724i | ||||
\(73\) | 4.61330 | + | 6.68351i | 0.539945 | + | 0.782246i | 0.994076 | − | 0.108689i | \(-0.0346653\pi\) |
−0.454130 | + | 0.890935i | \(0.650050\pi\) | |||||||
\(74\) | −3.68136 | + | 1.22902i | −0.427949 | + | 0.142870i | ||||
\(75\) | −0.477877 | + | 1.00710i | −0.0551805 | + | 0.116290i | ||||
\(76\) | −8.56241 | + | 10.4870i | −0.982176 | + | 1.20295i | ||||
\(77\) | 3.38249 | + | 8.91890i | 0.385471 | + | 1.01640i | ||||
\(78\) | −1.74902 | + | 0.248676i | −0.198038 | + | 0.0281570i | ||||
\(79\) | −0.149270 | + | 0.393593i | −0.0167942 | + | 0.0442826i | −0.943151 | − | 0.332364i | \(-0.892154\pi\) |
0.926357 | + | 0.376647i | \(0.122923\pi\) | |||||||
\(80\) | −2.57940 | − | 4.46766i | −0.288386 | − | 0.499499i | ||||
\(81\) | −0.632445 | + | 0.774605i | −0.0702717 | + | 0.0860672i | ||||
\(82\) | −3.50885 | − | 2.63673i | −0.387488 | − | 0.291178i | ||||
\(83\) | 5.21576 | + | 2.73744i | 0.572504 | + | 0.300473i | 0.726021 | − | 0.687673i | \(-0.241368\pi\) |
−0.153517 | + | 0.988146i | \(0.549060\pi\) | |||||||
\(84\) | −6.36202 | + | 0.513596i | −0.694154 | + | 0.0560379i | ||||
\(85\) | 2.01979 | − | 0.163054i | 0.219077 | − | 0.0176857i | ||||
\(86\) | 2.76309 | + | 1.45018i | 0.297952 | + | 0.156377i | ||||
\(87\) | −5.28745 | − | 3.97326i | −0.566874 | − | 0.425978i | ||||
\(88\) | 3.06446 | − | 3.75328i | 0.326672 | − | 0.400101i | ||||
\(89\) | 2.64964 | + | 4.58930i | 0.280861 | + | 0.486465i | 0.971597 | − | 0.236642i | \(-0.0760467\pi\) |
−0.690736 | + | 0.723107i | \(0.742713\pi\) | |||||||
\(90\) | −0.342472 | + | 0.903024i | −0.0360997 | + | 0.0951871i | ||||
\(91\) | −0.266775 | − | 13.0735i | −0.0279656 | − | 1.37047i | ||||
\(92\) | −4.53721 | − | 11.9636i | −0.473037 | − | 1.24729i | ||||
\(93\) | 1.76674 | − | 2.16387i | 0.183203 | − | 0.224382i | ||||
\(94\) | 2.47301 | − | 5.21177i | 0.255072 | − | 0.537553i | ||||
\(95\) | −14.3828 | + | 4.80167i | −1.47564 | + | 0.492641i | ||||
\(96\) | 2.82150 | + | 4.08765i | 0.287968 | + | 0.417194i | ||||
\(97\) | 0.729973 | + | 3.57564i | 0.0741175 | + | 0.363052i | 0.999887 | − | 0.0150369i | \(-0.00478659\pi\) |
−0.925769 | + | 0.378089i | \(0.876581\pi\) | |||||||
\(98\) | −0.121391 | + | 3.01228i | −0.0122623 | + | 0.304287i | ||||
\(99\) | 2.63016 | 0.264341 | ||||||||
\(100\) | −0.0789957 | + | 1.96026i | −0.00789957 | + | 0.196026i | ||||
\(101\) | −0.956123 | + | 0.718480i | −0.0951378 | + | 0.0714914i | −0.647247 | − | 0.762281i | \(-0.724080\pi\) |
0.552109 | + | 0.833772i | \(0.313823\pi\) | |||||||
\(102\) | −0.497181 | + | 0.0807998i | −0.0492283 | + | 0.00800038i | ||||
\(103\) | 7.56105 | − | 3.96835i | 0.745013 | − | 0.391013i | −0.0490917 | − | 0.998794i | \(-0.515633\pi\) |
0.794104 | + | 0.607781i | \(0.207940\pi\) | |||||||
\(104\) | −5.68348 | + | 3.43784i | −0.557311 | + | 0.337108i | ||||
\(105\) | −6.32977 | − | 3.32212i | −0.617722 | − | 0.324206i | ||||
\(106\) | 1.82211 | + | 0.608308i | 0.176978 | + | 0.0590841i | ||||
\(107\) | 2.49431 | − | 12.2180i | 0.241134 | − | 1.18115i | −0.661231 | − | 0.750182i | \(-0.729966\pi\) |
0.902365 | − | 0.430972i | \(-0.141829\pi\) | |||||||
\(108\) | −0.489643 | + | 1.69044i | −0.0471159 | + | 0.162663i | ||||
\(109\) | −1.66164 | − | 13.6848i | −0.159156 | − | 1.31077i | −0.825193 | − | 0.564850i | \(-0.808934\pi\) |
0.666037 | − | 0.745919i | \(-0.267989\pi\) | |||||||
\(110\) | 2.40944 | − | 0.804388i | 0.229731 | − | 0.0766954i | ||||
\(111\) | −7.81850 | − | 1.27063i | −0.742100 | − | 0.120603i | ||||
\(112\) | −8.40458 | + | 4.41106i | −0.794158 | + | 0.416806i | ||||
\(113\) | 2.97058 | − | 1.87848i | 0.279449 | − | 0.176713i | −0.387388 | − | 0.921917i | \(-0.626622\pi\) |
0.666836 | + | 0.745204i | \(0.267648\pi\) | |||||||
\(114\) | 3.46757 | − | 1.47739i | 0.324768 | − | 0.138371i | ||||
\(115\) | 2.86645 | − | 14.0408i | 0.267298 | − | 1.30931i | ||||
\(116\) | −11.3018 | − | 2.78564i | −1.04934 | − | 0.258640i | ||||
\(117\) | −3.39663 | − | 1.20950i | −0.314019 | − | 0.111818i | ||||
\(118\) | −5.51048 | + | 1.35821i | −0.507280 | + | 0.125033i | ||||
\(119\) | −0.150125 | − | 3.72533i | −0.0137620 | − | 0.341500i | ||||
\(120\) | 0.146217 | + | 3.62834i | 0.0133477 | + | 0.331220i | ||||
\(121\) | 2.58182 | + | 3.16215i | 0.234711 | + | 0.287468i | ||||
\(122\) | 2.40486 | − | 6.34110i | 0.217726 | − | 0.574097i | ||||
\(123\) | −3.84020 | − | 8.09306i | −0.346259 | − | 0.729726i | ||||
\(124\) | 1.36782 | − | 4.72227i | 0.122834 | − | 0.424072i | ||||
\(125\) | −6.84677 | + | 9.91926i | −0.612394 | + | 0.887205i | ||||
\(126\) | 1.63478 | + | 0.696513i | 0.145637 | + | 0.0620503i | ||||
\(127\) | −13.9632 | + | 2.26924i | −1.23903 | + | 0.201362i | −0.744396 | − | 0.667738i | \(-0.767262\pi\) |
−0.494635 | + | 0.869101i | \(0.664698\pi\) | |||||||
\(128\) | 9.55575 | + | 6.04269i | 0.844617 | + | 0.534103i | ||||
\(129\) | 3.61790 | + | 5.24143i | 0.318538 | + | 0.461482i | ||||
\(130\) | −3.48150 | − | 0.0692000i | −0.305347 | − | 0.00606924i | ||||
\(131\) | −4.17925 | + | 6.05469i | −0.365143 | + | 0.529001i | −0.961893 | − | 0.273426i | \(-0.911843\pi\) |
0.596750 | + | 0.802427i | \(0.296458\pi\) | |||||||
\(132\) | 4.25848 | − | 1.81437i | 0.370653 | − | 0.157921i | ||||
\(133\) | 7.76198 | + | 26.7975i | 0.673049 | + | 2.32364i | ||||
\(134\) | 2.39368 | − | 0.193238i | 0.206783 | − | 0.0166932i | ||||
\(135\) | −1.47540 | + | 1.30709i | −0.126982 | + | 0.112496i | ||||
\(136\) | −1.60070 | + | 1.01222i | −0.137259 | + | 0.0867972i | ||||
\(137\) | 15.0539 | + | 6.41389i | 1.28615 | + | 0.547975i | 0.923374 | − | 0.383903i | \(-0.125420\pi\) |
0.362772 | + | 0.931878i | \(0.381830\pi\) | |||||||
\(138\) | −0.429376 | + | 3.53623i | −0.0365509 | + | 0.301024i | ||||
\(139\) | 0.233780 | + | 1.14513i | 0.0198290 | + | 0.0971287i | 0.988501 | − | 0.151216i | \(-0.0483187\pi\) |
−0.968672 | + | 0.248344i | \(0.920114\pi\) | |||||||
\(140\) | −12.5402 | − | 1.01235i | −1.05984 | − | 0.0855594i | ||||
\(141\) | 9.41236 | − | 7.07293i | 0.792663 | − | 0.595648i | ||||
\(142\) | −0.289774 | + | 2.38651i | −0.0243173 | + | 0.200271i | ||||
\(143\) | 3.18590 | + | 8.93199i | 0.266419 | + | 0.746930i | ||||
\(144\) | 0.315470 | + | 2.59813i | 0.0262892 | + | 0.216511i | ||||
\(145\) | −9.03087 | − | 9.40214i | −0.749973 | − | 0.780805i | ||||
\(146\) | −1.98954 | − | 3.44599i | −0.164656 | − | 0.285192i | ||||
\(147\) | −3.07644 | + | 5.32855i | −0.253741 | + | 0.439492i | ||||
\(148\) | −13.5355 | + | 3.33619i | −1.11261 | + | 0.274233i | ||||
\(149\) | 5.77308 | + | 7.07074i | 0.472949 | + | 0.579258i | 0.954895 | − | 0.296943i | \(-0.0959672\pi\) |
−0.481946 | + | 0.876201i | \(0.660070\pi\) | |||||||
\(150\) | 0.273093 | − | 0.473010i | 0.0222979 | − | 0.0386211i | ||||
\(151\) | 0.124706 | + | 0.328822i | 0.0101484 | + | 0.0267591i | 0.939995 | − | 0.341189i | \(-0.110830\pi\) |
−0.929846 | + | 0.367948i | \(0.880060\pi\) | |||||||
\(152\) | 9.81720 | − | 10.2208i | 0.796280 | − | 0.829015i | ||||
\(153\) | −0.975124 | − | 0.325544i | −0.0788341 | − | 0.0263187i | ||||
\(154\) | −1.30031 | − | 4.48918i | −0.104782 | − | 0.361749i | ||||
\(155\) | 4.12153 | − | 3.65136i | 0.331049 | − | 0.293284i | ||||
\(156\) | −6.33384 | + | 0.384808i | −0.507113 | + | 0.0308093i | ||||
\(157\) | −0.870628 | − | 0.771309i | −0.0694837 | − | 0.0615572i | 0.627666 | − | 0.778483i | \(-0.284010\pi\) |
−0.697150 | + | 0.716925i | \(0.745549\pi\) | |||||||
\(158\) | 0.0884185 | − | 0.186338i | 0.00703420 | − | 0.0148243i | ||||
\(159\) | 2.71588 | + | 2.82753i | 0.215383 | + | 0.224238i | ||||
\(160\) | 4.19699 | + | 8.84498i | 0.331802 | + | 0.699257i | ||||
\(161\) | −25.6007 | − | 6.31001i | −2.01762 | − | 0.497299i | ||||
\(162\) | 0.339414 | − | 0.353368i | 0.0266669 | − | 0.0277632i | ||||
\(163\) | −10.0318 | − | 7.53841i | −0.785751 | − | 0.590454i | 0.130319 | − | 0.991472i | \(-0.458400\pi\) |
−0.916070 | + | 0.401018i | \(0.868656\pi\) | |||||||
\(164\) | −11.8005 | − | 10.4544i | −0.921466 | − | 0.816348i | ||||
\(165\) | 5.11719 | + | 0.831624i | 0.398373 | + | 0.0647418i | ||||
\(166\) | −2.43935 | − | 1.54255i | −0.189330 | − | 0.119725i | ||||
\(167\) | 4.01824 | + | 0.324386i | 0.310940 | + | 0.0251017i | 0.234952 | − | 0.972007i | \(-0.424507\pi\) |
0.0759885 | + | 0.997109i | \(0.475789\pi\) | |||||||
\(168\) | 6.68128 | 0.515472 | ||||||||
\(169\) | −0.00687730 | − | 13.0000i | −0.000529023 | − | 1.00000i | ||||
\(170\) | −0.992856 | −0.0761485 | ||||||||
\(171\) | 7.66774 | + | 0.619004i | 0.586367 | + | 0.0473364i | ||||
\(172\) | 9.47345 | + | 5.99065i | 0.722344 | + | 0.456783i | ||||
\(173\) | 14.4549 | + | 2.34915i | 1.09899 | + | 0.178603i | 0.682748 | − | 0.730654i | \(-0.260784\pi\) |
0.416237 | + | 0.909256i | \(0.363349\pi\) | |||||||
\(174\) | 2.42564 | + | 2.14893i | 0.183887 | + | 0.162910i | ||||
\(175\) | 3.23198 | + | 2.42867i | 0.244314 | + | 0.183590i | ||||
\(176\) | 4.76849 | − | 4.96452i | 0.359438 | − | 0.374215i | ||||
\(177\) | −11.2466 | − | 2.77203i | −0.845343 | − | 0.208358i | ||||
\(178\) | −1.11309 | − | 2.34579i | −0.0834299 | − | 0.175825i | ||||
\(179\) | −8.41302 | − | 8.75888i | −0.628819 | − | 0.654670i | 0.328230 | − | 0.944598i | \(-0.393548\pi\) |
−0.957048 | + | 0.289928i | \(0.906369\pi\) | |||||||
\(180\) | −1.48714 | + | 3.13408i | −0.110845 | + | 0.233601i | ||||
\(181\) | 15.6802 | + | 13.8914i | 1.16550 | + | 1.03254i | 0.998918 | + | 0.0465154i | \(0.0148117\pi\) |
0.166582 | + | 0.986028i | \(0.446727\pi\) | |||||||
\(182\) | −0.385151 | + | 6.39537i | −0.0285493 | + | 0.474056i | ||||
\(183\) | 10.3603 | − | 9.17847i | 0.765859 | − | 0.678492i | ||||
\(184\) | 3.72634 | + | 12.8648i | 0.274709 | + | 0.948407i | ||||
\(185\) | −14.8098 | − | 4.94424i | −1.08884 | − | 0.363507i | ||||
\(186\) | −0.948157 | + | 0.987136i | −0.0695222 | + | 0.0723803i | ||||
\(187\) | 0.958809 | + | 2.52817i | 0.0701151 | + | 0.184878i | ||||
\(188\) | 10.3604 | − | 17.9447i | 0.755609 | − | 1.30875i | ||||
\(189\) | 2.29368 | + | 2.80925i | 0.166841 | + | 0.204343i | ||||
\(190\) | 7.21358 | − | 1.77799i | 0.523328 | − | 0.128989i | ||||
\(191\) | −10.3629 | + | 17.9490i | −0.749832 | + | 1.29875i | 0.198071 | + | 0.980188i | \(0.436532\pi\) |
−0.947903 | + | 0.318560i | \(0.896801\pi\) | |||||||
\(192\) | 1.40040 | + | 2.42557i | 0.101065 | + | 0.175050i | ||||
\(193\) | 13.3334 | + | 13.8815i | 0.959759 | + | 0.999215i | 1.00000 | 2.47590e-5i | \(7.88104e-6\pi\) | |
−0.0402412 | + | 0.999190i | \(0.512813\pi\) | |||||||
\(194\) | −0.215531 | − | 1.77506i | −0.0154742 | − | 0.127442i | ||||
\(195\) | −6.22600 | − | 3.42716i | −0.445853 | − | 0.245424i | ||||
\(196\) | −1.30525 | + | 10.7497i | −0.0932320 | + | 0.767835i | ||||
\(197\) | 17.7855 | − | 13.3649i | 1.26716 | − | 0.952210i | 0.267227 | − | 0.963634i | \(-0.413893\pi\) |
0.999935 | + | 0.0114231i | \(0.00363617\pi\) | |||||||
\(198\) | −1.28452 | − | 0.103697i | −0.0912868 | − | 0.00736943i | ||||
\(199\) | −2.90194 | − | 14.2146i | −0.205713 | − | 1.00765i | −0.943184 | − | 0.332270i | \(-0.892185\pi\) |
0.737471 | − | 0.675378i | \(-0.236020\pi\) | |||||||
\(200\) | 0.247536 | − | 2.03864i | 0.0175035 | − | 0.144154i | ||||
\(201\) | 4.50906 | + | 1.92113i | 0.318044 | + | 0.135506i | ||||
\(202\) | 0.495279 | − | 0.313196i | 0.0348477 | − | 0.0220364i | ||||
\(203\) | −17.9543 | + | 15.9061i | −1.26014 | + | 1.11639i | ||||
\(204\) | −1.80339 | + | 0.145585i | −0.126263 | + | 0.0101930i | ||||
\(205\) | −4.91251 | − | 16.9599i | −0.343104 | − | 1.18453i | ||||
\(206\) | −3.84913 | + | 1.63996i | −0.268182 | + | 0.114262i | ||||
\(207\) | −4.12997 | + | 5.98329i | −0.287053 | + | 0.415867i | ||||
\(208\) | −8.44109 | + | 4.21844i | −0.585284 | + | 0.292496i | ||||
\(209\) | −11.4936 | − | 16.6514i | −0.795031 | − | 1.15180i | ||||
\(210\) | 2.96036 | + | 1.87202i | 0.204284 | + | 0.129182i | ||||
\(211\) | −8.75199 | + | 1.42234i | −0.602512 | + | 0.0979177i | −0.454013 | − | 0.890995i | \(-0.650008\pi\) |
−0.148499 | + | 0.988913i | \(0.547444\pi\) | |||||||
\(212\) | 6.34780 | + | 2.70454i | 0.435969 | + | 0.185749i | ||||
\(213\) | −2.78721 | + | 4.03797i | −0.190976 | + | 0.276677i | ||||
\(214\) | −1.69988 | + | 5.86868i | −0.116202 | + | 0.401175i | ||||
\(215\) | 5.38165 | + | 11.3416i | 0.367025 | + | 0.773489i | ||||
\(216\) | 0.653272 | − | 1.72254i | 0.0444495 | − | 0.117204i | ||||
\(217\) | −6.40743 | − | 7.84767i | −0.434964 | − | 0.532735i | ||||
\(218\) | 0.271972 | + | 6.74893i | 0.0184203 | + | 0.457095i | ||||
\(219\) | −0.327003 | − | 8.11449i | −0.0220968 | − | 0.548326i | ||||
\(220\) | 8.85891 | − | 2.18353i | 0.597268 | − | 0.147213i | ||||
\(221\) | −0.0756206 | − | 3.70585i | −0.00508679 | − | 0.249282i | ||||
\(222\) | 3.76831 | + | 0.928806i | 0.252913 | + | 0.0623374i | ||||
\(223\) | 4.60842 | − | 22.5735i | 0.308602 | − | 1.51163i | −0.469181 | − | 0.883102i | \(-0.655451\pi\) |
0.777783 | − | 0.628533i | \(-0.216344\pi\) | |||||||
\(224\) | 16.5718 | − | 7.06060i | 1.10725 | − | 0.471756i | ||||
\(225\) | 0.942160 | − | 0.595786i | 0.0628107 | − | 0.0397191i | ||||
\(226\) | −1.52484 | + | 0.800296i | −0.101431 | + | 0.0532349i | ||||
\(227\) | 5.35877 | + | 0.870884i | 0.355674 | + | 0.0578026i | 0.335623 | − | 0.941996i | \(-0.391053\pi\) |
0.0200506 | + | 0.999799i | \(0.493617\pi\) | |||||||
\(228\) | 12.8418 | − | 4.28723i | 0.850471 | − | 0.283929i | ||||
\(229\) | 0.619453 | + | 5.10166i | 0.0409346 | + | 0.337127i | 0.998760 | + | 0.0497772i | \(0.0158511\pi\) |
−0.957826 | + | 0.287350i | \(0.907226\pi\) | |||||||
\(230\) | −1.95350 | + | 6.74426i | −0.128810 | + | 0.444703i | ||||
\(231\) | 1.90800 | − | 9.34599i | 0.125537 | − | 0.614921i | ||||
\(232\) | 11.5575 | + | 3.85844i | 0.758784 | + | 0.253319i | ||||
\(233\) | −8.56662 | − | 4.49611i | −0.561218 | − | 0.294550i | 0.160160 | − | 0.987091i | \(-0.448799\pi\) |
−0.721379 | + | 0.692541i | \(0.756491\pi\) | |||||||
\(234\) | 1.61117 | + | 0.724614i | 0.105325 | + | 0.0473695i | ||||
\(235\) | 20.5489 | − | 10.7849i | 1.34046 | − | 0.703529i | ||||
\(236\) | −20.1215 | + | 3.27007i | −1.30980 | + | 0.212863i | ||||
\(237\) | 0.336523 | − | 0.252881i | 0.0218595 | − | 0.0164264i | ||||
\(238\) | −0.0735570 | + | 1.82530i | −0.00476799 | + | 0.118316i | ||||
\(239\) | 7.39887 | 0.478593 | 0.239297 | − | 0.970947i | \(-0.423083\pi\) | ||||
0.239297 | + | 0.970947i | \(0.423083\pi\) | |||||||
\(240\) | −0.207724 | + | 5.15462i | −0.0134085 | + | 0.332729i | ||||
\(241\) | 2.52891 | + | 12.3874i | 0.162902 | + | 0.797945i | 0.976331 | + | 0.216281i | \(0.0693928\pi\) |
−0.813430 | + | 0.581663i | \(0.802402\pi\) | |||||||
\(242\) | −1.13624 | − | 1.64613i | −0.0730403 | − | 0.105817i | ||||
\(243\) | 0.948536 | − | 0.316668i | 0.0608486 | − | 0.0203143i | ||||
\(244\) | 10.4428 | − | 22.0078i | 0.668532 | − | 1.40890i | ||||
\(245\) | −7.67030 | + | 9.39441i | −0.490037 | + | 0.600187i | ||||
\(246\) | 1.55640 | + | 4.10390i | 0.0992327 | + | 0.261655i | ||||
\(247\) | 7.18578 | + | 26.7894i | 0.457221 | + | 1.70457i | ||||
\(248\) | −1.82492 | + | 4.81192i | −0.115883 | + | 0.305557i | ||||
\(249\) | −2.94524 | − | 5.10130i | −0.186647 | − | 0.323282i | ||||
\(250\) | 3.73491 | − | 4.57444i | 0.236217 | − | 0.289313i | ||||
\(251\) | 22.7492 | + | 17.0949i | 1.43591 | + | 1.07902i | 0.982193 | + | 0.187876i | \(0.0601602\pi\) |
0.453721 | + | 0.891144i | \(0.350096\pi\) | |||||||
\(252\) | 5.65162 | + | 2.96620i | 0.356018 | + | 0.186853i | ||||
\(253\) | 19.0599 | − | 1.53867i | 1.19828 | − | 0.0967354i | ||||
\(254\) | 6.90882 | − | 0.557738i | 0.433498 | − | 0.0349956i | ||||
\(255\) | −1.79425 | − | 0.941696i | −0.112360 | − | 0.0589713i | ||||
\(256\) | 0.0495633 | + | 0.0372444i | 0.00309771 | + | 0.00232778i | ||||
\(257\) | 16.2978 | − | 19.9611i | 1.01663 | − | 1.24514i | 0.0474238 | − | 0.998875i | \(-0.484899\pi\) |
0.969202 | − | 0.246266i | \(-0.0792037\pi\) | |||||||
\(258\) | −1.56026 | − | 2.70246i | −0.0971378 | − | 0.168248i | ||||
\(259\) | −10.1868 | + | 26.8605i | −0.632980 | + | 1.66903i | ||||
\(260\) | −12.4447 | − | 1.25401i | −0.771786 | − | 0.0777702i | ||||
\(261\) | 2.34533 | + | 6.18412i | 0.145172 | + | 0.382788i | ||||
\(262\) | 2.27978 | − | 2.79222i | 0.140845 | − | 0.172504i | ||||
\(263\) | −1.22766 | + | 2.58725i | −0.0757010 | + | 0.159536i | −0.937773 | − | 0.347250i | \(-0.887116\pi\) |
0.862072 | + | 0.506787i | \(0.169167\pi\) | |||||||
\(264\) | −4.59605 | + | 1.53439i | −0.282867 | + | 0.0944350i | ||||
\(265\) | 4.38994 | + | 6.35992i | 0.269672 | + | 0.390687i | ||||
\(266\) | −2.73428 | − | 13.3934i | −0.167650 | − | 0.821203i | ||||
\(267\) | 0.213380 | − | 5.29497i | 0.0130587 | − | 0.324047i | ||||
\(268\) | 8.62587 | 0.526909 | ||||||||
\(269\) | −0.398287 | + | 9.88338i | −0.0242840 | + | 0.602600i | 0.940537 | + | 0.339692i | \(0.110323\pi\) |
−0.964821 | + | 0.262909i | \(0.915318\pi\) | |||||||
\(270\) | 0.772089 | − | 0.580187i | 0.0469878 | − | 0.0353091i | ||||
\(271\) | 22.9111 | − | 3.72342i | 1.39175 | − | 0.226182i | 0.582112 | − | 0.813109i | \(-0.302227\pi\) |
0.809640 | + | 0.586927i | \(0.199662\pi\) | |||||||
\(272\) | −2.38238 | + | 1.25037i | −0.144453 | + | 0.0758149i | ||||
\(273\) | −6.76186 | + | 11.1922i | −0.409247 | + | 0.677381i | ||||
\(274\) | −7.09919 | − | 3.72594i | −0.428878 | − | 0.225092i | ||||
\(275\) | −2.78103 | − | 0.928445i | −0.167702 | − | 0.0559873i | ||||
\(276\) | −2.55935 | + | 12.5365i | −0.154055 | + | 0.754610i | ||||
\(277\) | −4.99326 | + | 17.2387i | −0.300016 | + | 1.03577i | 0.658934 | + | 0.752200i | \(0.271007\pi\) |
−0.958950 | + | 0.283574i | \(0.908480\pi\) | |||||||
\(278\) | −0.0690256 | − | 0.568477i | −0.00413988 | − | 0.0340950i | ||||
\(279\) | −2.64975 | + | 0.884615i | −0.158636 | + | 0.0529605i | ||||
\(280\) | 12.9990 | + | 2.11254i | 0.776838 | + | 0.126248i | ||||
\(281\) | 20.2344 | − | 10.6198i | 1.20708 | − | 0.633526i | 0.263499 | − | 0.964660i | \(-0.415123\pi\) |
0.943584 | + | 0.331134i | \(0.107431\pi\) | |||||||
\(282\) | −4.87568 | + | 3.08319i | −0.290342 | + | 0.183601i | ||||
\(283\) | −12.7289 | + | 5.42327i | −0.756653 | + | 0.322380i | −0.735616 | − | 0.677399i | \(-0.763107\pi\) |
−0.0210374 | + | 0.999779i | \(0.506697\pi\) | |||||||
\(284\) | −1.72724 | + | 8.46057i | −0.102493 | + | 0.502043i | ||||
\(285\) | 14.7225 | + | 3.62877i | 0.872086 | + | 0.214950i | ||||
\(286\) | −1.20378 | − | 4.48782i | −0.0711811 | − | 0.265371i | ||||
\(287\) | −31.5436 | + | 7.77481i | −1.86196 | + | 0.458933i | ||||
\(288\) | −0.199995 | − | 4.96283i | −0.0117848 | − | 0.292438i | ||||
\(289\) | 0.641966 | + | 15.9302i | 0.0377627 | + | 0.937072i | ||||
\(290\) | 4.03982 | + | 4.94788i | 0.237226 | + | 0.290550i | ||||
\(291\) | 1.29409 | − | 3.41224i | 0.0758611 | − | 0.200029i | ||||
\(292\) | −6.12710 | − | 12.9126i | −0.358561 | − | 0.755652i | ||||
\(293\) | −0.685460 | + | 2.36648i | −0.0400450 | + | 0.138251i | −0.978050 | − | 0.208370i | \(-0.933184\pi\) |
0.938005 | + | 0.346622i | \(0.112671\pi\) | |||||||
\(294\) | 1.71256 | − | 2.48107i | 0.0998786 | − | 0.144699i | ||||
\(295\) | −21.0046 | − | 8.94923i | −1.22294 | − | 0.521045i | ||||
\(296\) | 14.4037 | − | 2.34082i | 0.837196 | − | 0.136058i | ||||
\(297\) | −2.22298 | − | 1.40573i | −0.128990 | − | 0.0815686i | ||||
\(298\) | −2.54069 | − | 3.68083i | −0.147178 | − | 0.213225i | ||||
\(299\) | −25.3218 | − | 6.77778i | −1.46440 | − | 0.391969i | ||||
\(300\) | 1.11446 | − | 1.61457i | 0.0643432 | − | 0.0932172i | ||||
\(301\) | 21.2494 | − | 9.05354i | 1.22480 | − | 0.521837i | ||||
\(302\) | −0.0479397 | − | 0.165507i | −0.00275862 | − | 0.00952386i | ||||
\(303\) | 1.19211 | − | 0.0962369i | 0.0684848 | − | 0.00552867i | ||||
\(304\) | 15.0700 | − | 13.3509i | 0.864326 | − | 0.765726i | ||||
\(305\) | 23.0590 | − | 14.5816i | 1.32036 | − | 0.834943i | ||||
\(306\) | 0.463398 | + | 0.197435i | 0.0264907 | + | 0.0112866i | ||||
\(307\) | −1.16380 | + | 9.58474i | −0.0664214 | + | 0.547030i | 0.921075 | + | 0.389386i | \(0.127313\pi\) |
−0.987496 | + | 0.157644i | \(0.949610\pi\) | |||||||
\(308\) | −3.35794 | − | 16.4483i | −0.191336 | − | 0.937228i | ||||
\(309\) | −8.51147 | − | 0.687117i | −0.484201 | − | 0.0390887i | ||||
\(310\) | −2.15684 | + | 1.62076i | −0.122500 | + | 0.0920529i | ||||
\(311\) | 0.0585148 | − | 0.481912i | 0.00331807 | − | 0.0273267i | −0.990956 | − | 0.134189i | \(-0.957157\pi\) |
0.994274 | + | 0.106862i | \(0.0340803\pi\) | |||||||
\(312\) | 6.64103 | + | 0.132000i | 0.375974 | + | 0.00747306i | ||||
\(313\) | 3.72142 | + | 30.6486i | 0.210347 | + | 1.73236i | 0.590149 | + | 0.807294i | \(0.299069\pi\) |
−0.379802 | + | 0.925068i | \(0.624008\pi\) | |||||||
\(314\) | 0.394789 | + | 0.411019i | 0.0222792 | + | 0.0231951i | ||||
\(315\) | 3.57430 | + | 6.19087i | 0.201389 | + | 0.348816i | ||||
\(316\) | 0.370419 | − | 0.641584i | 0.0208377 | − | 0.0360919i | ||||
\(317\) | 11.9977 | − | 2.95717i | 0.673858 | − | 0.166091i | 0.112484 | − | 0.993653i | \(-0.464119\pi\) |
0.561374 | + | 0.827562i | \(0.310273\pi\) | |||||||
\(318\) | −1.21491 | − | 1.48799i | −0.0681285 | − | 0.0834423i | ||||
\(319\) | 8.69782 | − | 15.0651i | 0.486984 | − | 0.843482i | ||||
\(320\) | 1.95767 | + | 5.16194i | 0.109437 | + | 0.288561i | ||||
\(321\) | −8.63825 | + | 8.99337i | −0.482140 | + | 0.501961i | ||||
\(322\) | 12.2541 | + | 4.09103i | 0.682896 | + | 0.227984i | ||||
\(323\) | 2.20023 | + | 7.59608i | 0.122424 | + | 0.422657i | ||||
\(324\) | 1.31733 | − | 1.16705i | 0.0731848 | − | 0.0648361i | ||||
\(325\) | 3.16452 | + | 2.47789i | 0.175536 | + | 0.137449i | ||||
\(326\) | 4.60213 | + | 4.07713i | 0.254889 | + | 0.225812i | ||||
\(327\) | −5.90967 | + | 12.4544i | −0.326806 | + | 0.688728i | ||||
\(328\) | 11.4319 | + | 11.9019i | 0.631220 | + | 0.657170i | ||||
\(329\) | −18.3049 | − | 38.5768i | −1.00918 | − | 2.12681i | ||||
\(330\) | −2.46635 | − | 0.607901i | −0.135768 | − | 0.0334638i | ||||
\(331\) | −14.0288 | + | 14.6056i | −0.771094 | + | 0.802794i | −0.984724 | − | 0.174121i | \(-0.944292\pi\) |
0.213630 | + | 0.976915i | \(0.431471\pi\) | |||||||
\(332\) | −8.28768 | − | 6.22779i | −0.454845 | − | 0.341794i | ||||
\(333\) | 5.92901 | + | 5.25265i | 0.324908 | + | 0.287843i | ||||
\(334\) | −1.94964 | − | 0.316848i | −0.106680 | − | 0.0173371i | ||||
\(335\) | 8.16531 | + | 5.16343i | 0.446118 | + | 0.282108i | ||||
\(336\) | 9.46103 | + | 0.763773i | 0.516142 | + | 0.0416673i | ||||
\(337\) | 12.0869 | 0.658414 | 0.329207 | − | 0.944258i | \(-0.393219\pi\) | ||||
0.329207 | + | 0.944258i | \(0.393219\pi\) | |||||||
\(338\) | −0.509182 | + | 6.34923i | −0.0276958 | + | 0.345352i | ||||
\(339\) | −3.51469 | −0.190892 | ||||||||
\(340\) | −3.55469 | − | 0.286964i | −0.192780 | − | 0.0155628i | ||||
\(341\) | 6.20992 | + | 3.92692i | 0.336286 | + | 0.212654i | ||||
\(342\) | −3.72037 | − | 0.604620i | −0.201175 | − | 0.0326941i | ||||
\(343\) | −2.29959 | − | 2.03726i | −0.124166 | − | 0.110002i | ||||
\(344\) | −9.37984 | − | 7.04849i | −0.505727 | − | 0.380029i | ||||
\(345\) | −9.92704 | + | 10.3351i | −0.534454 | + | 0.556425i | ||||
\(346\) | −6.96688 | − | 1.71718i | −0.374542 | − | 0.0923163i | ||||
\(347\) | −7.48521 | − | 15.7747i | −0.401827 | − | 0.846833i | −0.999000 | − | 0.0447197i | \(-0.985761\pi\) |
0.597173 | − | 0.802113i | \(-0.296291\pi\) | |||||||
\(348\) | 8.06333 | + | 8.39482i | 0.432240 | + | 0.450009i | ||||
\(349\) | 9.84297 | − | 20.7436i | 0.526882 | − | 1.11038i | −0.449290 | − | 0.893386i | \(-0.648323\pi\) |
0.976173 | − | 0.216995i | \(-0.0696256\pi\) | |||||||
\(350\) | −1.48268 | − | 1.31354i | −0.0792528 | − | 0.0702118i | ||||
\(351\) | 2.22436 | + | 2.83764i | 0.118728 | + | 0.151462i | ||||
\(352\) | −9.77826 | + | 8.66278i | −0.521183 | + | 0.461728i | ||||
\(353\) | −8.35915 | − | 28.8591i | −0.444913 | − | 1.53602i | −0.799308 | − | 0.600922i | \(-0.794800\pi\) |
0.354395 | − | 0.935096i | \(-0.384687\pi\) | |||||||
\(354\) | 5.38332 | + | 1.79721i | 0.286120 | + | 0.0955209i | ||||
\(355\) | −6.69950 | + | 6.97492i | −0.355572 | + | 0.370190i | ||||
\(356\) | −3.30717 | − | 8.72028i | −0.175279 | − | 0.462174i | ||||
\(357\) | −1.86417 | + | 3.22884i | −0.0986626 | + | 0.170889i | ||||
\(358\) | 3.76343 | + | 4.60937i | 0.198904 | + | 0.243613i | ||||
\(359\) | −14.5219 | + | 3.57933i | −0.766437 | + | 0.188910i | −0.603105 | − | 0.797661i | \(-0.706070\pi\) |
−0.163332 | + | 0.986571i | \(0.552224\pi\) | |||||||
\(360\) | 1.81564 | − | 3.14478i | 0.0956926 | − | 0.165744i | ||||
\(361\) | −20.0887 | − | 34.7946i | −1.05730 | − | 1.83130i | ||||
\(362\) | −7.11023 | − | 7.40253i | −0.373705 | − | 0.389068i | ||||
\(363\) | −0.492064 | − | 4.05251i | −0.0258267 | − | 0.212702i | ||||
\(364\) | −3.22739 | + | 22.7858i | −0.169161 | + | 1.19430i | ||||
\(365\) | 1.92949 | − | 15.8908i | 0.100994 | − | 0.831763i | ||||
\(366\) | −5.42167 | + | 4.07412i | −0.283395 | + | 0.212958i | ||||
\(367\) | −21.7026 | − | 1.75201i | −1.13286 | − | 0.0914543i | −0.500221 | − | 0.865897i | \(-0.666748\pi\) |
−0.632643 | + | 0.774443i | \(0.718030\pi\) | |||||||
\(368\) | 3.80604 | + | 18.6432i | 0.198403 | + | 0.971844i | ||||
\(369\) | −1.07976 | + | 8.89263i | −0.0562101 | + | 0.462932i | ||||
\(370\) | 7.03789 | + | 2.99857i | 0.365883 | + | 0.155888i | ||||
\(371\) | 12.0175 | − | 7.59942i | 0.623918 | − | 0.394542i | ||||
\(372\) | −3.67996 | + | 3.26016i | −0.190797 | + | 0.169032i | ||||
\(373\) | −16.5427 | + | 1.33547i | −0.856550 | + | 0.0691479i | −0.500935 | − | 0.865485i | \(-0.667011\pi\) |
−0.355615 | + | 0.934633i | \(0.615729\pi\) | |||||||
\(374\) | −0.368588 | − | 1.27251i | −0.0190592 | − | 0.0658001i | ||||
\(375\) | 11.0883 | − | 4.72429i | 0.572599 | − | 0.243962i | ||||
\(376\) | −12.3213 | + | 17.8505i | −0.635425 | + | 0.920572i | ||||
\(377\) | −18.1603 | + | 15.4555i | −0.935305 | + | 0.796000i | ||||
\(378\) | −1.00943 | − | 1.46242i | −0.0519197 | − | 0.0752186i | ||||
\(379\) | 13.6753 | + | 8.64771i | 0.702451 | + | 0.444203i | 0.837358 | − | 0.546655i | \(-0.184099\pi\) |
−0.134907 | + | 0.990858i | \(0.543074\pi\) | |||||||
\(380\) | 26.3404 | − | 4.28074i | 1.35124 | − | 0.219597i | ||||
\(381\) | 13.0144 | + | 5.54490i | 0.666746 | + | 0.284074i | ||||
\(382\) | 5.76870 | − | 8.35741i | 0.295152 | − | 0.427602i | ||||
\(383\) | −8.04130 | + | 27.7618i | −0.410891 | + | 1.41856i | 0.442255 | + | 0.896889i | \(0.354179\pi\) |
−0.853146 | + | 0.521672i | \(0.825309\pi\) | |||||||
\(384\) | −4.84681 | − | 10.2144i | −0.247338 | − | 0.521253i | ||||
\(385\) | 6.66726 | − | 17.5801i | 0.339795 | − | 0.895966i | ||||
\(386\) | −5.96448 | − | 7.30517i | −0.303584 | − | 0.371823i | ||||
\(387\) | −0.256446 | − | 6.36365i | −0.0130359 | − | 0.323483i | ||||
\(388\) | −0.258615 | − | 6.41747i | −0.0131292 | − | 0.325798i | ||||
\(389\) | −9.47735 | + | 2.33596i | −0.480521 | + | 0.118438i | −0.472133 | − | 0.881527i | \(-0.656516\pi\) |
−0.00838735 | + | 0.999965i | \(0.502670\pi\) | |||||||
\(390\) | 2.90554 | + | 1.91923i | 0.147128 | + | 0.0971839i | ||||
\(391\) | −7.25685 | − | 1.78865i | −0.366994 | − | 0.0904560i | ||||
\(392\) | 2.26733 | − | 11.1061i | 0.114517 | − | 0.560942i | ||||
\(393\) | 6.76829 | − | 2.88370i | 0.341415 | − | 0.145463i | ||||
\(394\) | −9.21302 | + | 5.82596i | −0.464145 | + | 0.293508i | ||||
\(395\) | 0.734692 | − | 0.385596i | 0.0369664 | − | 0.0194014i | ||||
\(396\) | −4.56895 | − | 0.742526i | −0.229598 | − | 0.0373133i | ||||
\(397\) | 6.25210 | − | 2.08726i | 0.313784 | − | 0.104756i | −0.155414 | − | 0.987849i | \(-0.549671\pi\) |
0.469198 | + | 0.883093i | \(0.344543\pi\) | |||||||
\(398\) | 0.856823 | + | 7.05657i | 0.0429486 | + | 0.353714i | ||||
\(399\) | 7.76198 | − | 26.7975i | 0.388585 | − | 1.34155i | ||||
\(400\) | 0.583572 | − | 2.85853i | 0.0291786 | − | 0.142926i | ||||
\(401\) | −17.2413 | − | 5.75598i | −0.860988 | − | 0.287440i | −0.148318 | − | 0.988940i | \(-0.547386\pi\) |
−0.712670 | + | 0.701500i | \(0.752514\pi\) | |||||||
\(402\) | −2.12640 | − | 1.11602i | −0.106055 | − | 0.0556620i | ||||
\(403\) | −6.21378 | − | 7.92698i | −0.309530 | − | 0.394871i | ||||
\(404\) | 1.86375 | − | 0.978173i | 0.0927252 | − | 0.0486659i | ||||
\(405\) | 1.94558 | − | 0.316188i | 0.0966768 | − | 0.0157115i | ||||
\(406\) | 9.39564 | − | 7.06036i | 0.466298 | − | 0.350400i | ||||
\(407\) | 0.838888 | − | 20.8168i | 0.0415821 | − | 1.03185i | ||||
\(408\) | 1.89389 | 0.0937616 | ||||||||
\(409\) | 0.925723 | − | 22.9716i | 0.0457741 | − | 1.13587i | −0.799200 | − | 0.601065i | \(-0.794743\pi\) |
0.844974 | − | 0.534807i | \(-0.179616\pi\) | |||||||
\(410\) | 1.73051 | + | 8.47660i | 0.0854638 | + | 0.418629i | ||||
\(411\) | −9.29544 | − | 13.4668i | −0.458510 | − | 0.664267i | ||||
\(412\) | −14.2549 | + | 4.75899i | −0.702289 | + | 0.234459i | ||||
\(413\) | −18.0087 | + | 37.9526i | −0.886151 | + | 1.86752i | ||||
\(414\) | 2.25290 | − | 2.75930i | 0.110724 | − | 0.135612i | ||||
\(415\) | −4.11723 | − | 10.8563i | −0.202107 | − | 0.532912i | ||||
\(416\) | 16.6115 | − | 6.69065i | 0.814445 | − | 0.328036i | ||||
\(417\) | 0.414444 | − | 1.09280i | 0.0202954 | − | 0.0535146i | ||||
\(418\) | 4.95677 | + | 8.58538i | 0.242444 | + | 0.419925i | ||||
\(419\) | −8.03229 | + | 9.83777i | −0.392403 | + | 0.480607i | −0.932590 | − | 0.360939i | \(-0.882456\pi\) |
0.540186 | + | 0.841545i | \(0.318354\pi\) | |||||||
\(420\) | 10.0578 | + | 7.55796i | 0.490771 | + | 0.368791i | ||||
\(421\) | −13.0864 | − | 6.86828i | −0.637793 | − | 0.334739i | 0.114641 | − | 0.993407i | \(-0.463428\pi\) |
−0.752434 | + | 0.658667i | \(0.771120\pi\) | |||||||
\(422\) | 4.33038 | − | 0.349585i | 0.210800 | − | 0.0170175i | ||||
\(423\) | −11.7355 | + | 0.947385i | −0.570598 | + | 0.0460634i | ||||
\(424\) | −6.39538 | − | 3.35655i | −0.310587 | − | 0.163009i | ||||
\(425\) | 0.916144 | + | 0.688437i | 0.0444395 | + | 0.0333941i | ||||
\(426\) | 1.52042 | − | 1.86218i | 0.0736646 | − | 0.0902228i | ||||
\(427\) | −25.0990 | − | 43.4728i | −1.21463 | − | 2.10379i | ||||
\(428\) | −7.78225 | + | 20.5201i | −0.376169 | + | 0.991877i | ||||
\(429\) | 2.08115 | − | 9.25198i | 0.100479 | − | 0.446690i | ||||
\(430\) | −2.18114 | − | 5.75119i | −0.105184 | − | 0.277347i | ||||
\(431\) | 7.51934 | − | 9.20952i | 0.362194 | − | 0.443607i | −0.561073 | − | 0.827766i | \(-0.689611\pi\) |
0.923267 | + | 0.384160i | \(0.125509\pi\) | |||||||
\(432\) | 1.12198 | − | 2.36452i | 0.0539812 | − | 0.113763i | ||||
\(433\) | −37.5803 | + | 12.5461i | −1.80599 | + | 0.602929i | −0.806054 | + | 0.591842i | \(0.798401\pi\) |
−0.999939 | + | 0.0110865i | \(0.996471\pi\) | |||||||
\(434\) | 2.81986 | + | 4.08528i | 0.135358 | + | 0.196100i | ||||
\(435\) | 2.60769 | + | 12.7733i | 0.125029 | + | 0.612432i | ||||
\(436\) | −0.976901 | + | 24.2415i | −0.0467851 | + | 1.16096i | ||||
\(437\) | 55.9276 | 2.67538 | ||||||||
\(438\) | −0.160222 | + | 3.97586i | −0.00765568 | + | 0.189974i | ||||
\(439\) | 1.22156 | − | 0.917945i | 0.0583020 | − | 0.0438111i | −0.571192 | − | 0.820817i | \(-0.693519\pi\) |
0.629494 | + | 0.777006i | \(0.283262\pi\) | |||||||
\(440\) | −9.42715 | + | 1.53206i | −0.449422 | + | 0.0730382i | ||||
\(441\) | 5.44811 | − | 2.85939i | 0.259434 | − | 0.136161i | ||||
\(442\) | −0.109176 | + | 1.81285i | −0.00519296 | + | 0.0862283i | ||||
\(443\) | −19.1042 | − | 10.0267i | −0.907670 | − | 0.476382i | −0.0547950 | − | 0.998498i | \(-0.517451\pi\) |
−0.852875 | + | 0.522116i | \(0.825143\pi\) | |||||||
\(444\) | 13.2231 | + | 4.41452i | 0.627541 | + | 0.209504i | ||||
\(445\) | 2.08936 | − | 10.2343i | 0.0990450 | − | 0.485154i | ||||
\(446\) | −3.14065 | + | 10.8428i | −0.148714 | + | 0.513421i | ||||
\(447\) | −1.10028 | − | 9.06164i | −0.0520416 | − | 0.428601i | ||||
\(448\) | 9.63491 | − | 3.21661i | 0.455207 | − | 0.151970i | ||||
\(449\) | 15.4764 | + | 2.51516i | 0.730376 | + | 0.118698i | 0.514216 | − | 0.857660i | \(-0.328083\pi\) |
0.216159 | + | 0.976358i | \(0.430647\pi\) | |||||||
\(450\) | −0.483623 | + | 0.253825i | −0.0227982 | + | 0.0119654i | ||||
\(451\) | 19.9133 | − | 12.5924i | 0.937683 | − | 0.592955i | ||||
\(452\) | −5.69063 | + | 2.42455i | −0.267665 | + | 0.114041i | ||||
\(453\) | 0.0703440 | − | 0.344568i | 0.00330505 | − | 0.0161892i | ||||
\(454\) | −2.58278 | − | 0.636599i | −0.121216 | − | 0.0298771i | ||||
\(455\) | −16.6946 | + | 19.6373i | −0.782655 | + | 0.920610i | ||||
\(456\) | −13.7601 | + | 3.39155i | −0.644374 | + | 0.158824i | ||||
\(457\) | 1.38387 | + | 34.3404i | 0.0647348 | + | 1.60638i | 0.626730 | + | 0.779236i | \(0.284393\pi\) |
−0.561995 | + | 0.827140i | \(0.689966\pi\) | |||||||
\(458\) | −0.101390 | − | 2.51598i | −0.00473766 | − | 0.117564i | ||||
\(459\) | 0.650173 | + | 0.796318i | 0.0303475 | + | 0.0371689i | ||||
\(460\) | −8.94333 | + | 23.5816i | −0.416985 | + | 1.09950i | ||||
\(461\) | −8.65170 | − | 18.2331i | −0.402950 | − | 0.849198i | −0.998932 | − | 0.0462010i | \(-0.985289\pi\) |
0.595982 | − | 0.802997i | \(-0.296763\pi\) | |||||||
\(462\) | −1.30031 | + | 4.48918i | −0.0604958 | + | 0.208856i | ||||
\(463\) | −6.13647 | + | 8.89021i | −0.285186 | + | 0.413163i | −0.939227 | − | 0.343296i | \(-0.888457\pi\) |
0.654042 | + | 0.756459i | \(0.273072\pi\) | |||||||
\(464\) | 15.9249 | + | 6.78495i | 0.739293 | + | 0.314983i | ||||
\(465\) | −5.43500 | + | 0.883274i | −0.252042 | + | 0.0409609i | ||||
\(466\) | 4.00651 | + | 2.53357i | 0.185598 | + | 0.117365i | ||||
\(467\) | 10.9327 | + | 15.8388i | 0.505905 | + | 0.732930i | 0.989842 | − | 0.142173i | \(-0.0454089\pi\) |
−0.483937 | + | 0.875103i | \(0.660794\pi\) | |||||||
\(468\) | 5.55896 | + | 3.05998i | 0.256963 | + | 0.141448i | ||||
\(469\) | 10.0975 | − | 14.6288i | 0.466261 | − | 0.675496i | ||||
\(470\) | −10.4609 | + | 4.45697i | −0.482525 | + | 0.205585i | ||||
\(471\) | 0.323608 | + | 1.11722i | 0.0149111 | + | 0.0514790i | ||||
\(472\) | 21.2699 | − | 1.71708i | 0.979025 | − | 0.0790351i | ||||
\(473\) | −12.5383 | + | 11.1080i | −0.576511 | + | 0.510744i | ||||
\(474\) | −0.174322 | + | 0.110234i | −0.00800687 | + | 0.00506324i | ||||
\(475\) | −7.88908 | − | 3.36122i | −0.361976 | − | 0.154223i | ||||
\(476\) | −0.790917 | + | 6.51379i | −0.0362516 | + | 0.298559i | ||||
\(477\) | −0.784216 | − | 3.84134i | −0.0359068 | − | 0.175883i | ||||
\(478\) | −3.61347 | − | 0.291709i | −0.165276 | − | 0.0133425i | ||||
\(479\) | 17.3475 | − | 13.0358i | 0.792626 | − | 0.595620i | −0.125415 | − | 0.992104i | \(-0.540026\pi\) |
0.918041 | + | 0.396484i | \(0.129770\pi\) | |||||||
\(480\) | 1.18008 | − | 9.71884i | 0.0538631 | − | 0.443602i | ||||
\(481\) | −10.6561 | + | 26.4974i | −0.485878 | + | 1.20818i | ||||
\(482\) | −0.746684 | − | 6.14950i | −0.0340105 | − | 0.280102i | ||||
\(483\) | 18.2650 | + | 19.0159i | 0.831086 | + | 0.865252i | ||||
\(484\) | −3.59226 | − | 6.22198i | −0.163285 | − | 0.282817i | ||||
\(485\) | 3.59668 | − | 6.22963i | 0.163317 | − | 0.282873i | ||||
\(486\) | −0.475732 | + | 0.117258i | −0.0215797 | + | 0.00531891i | ||||
\(487\) | −14.6770 | − | 17.9761i | −0.665080 | − | 0.814576i | 0.326345 | − | 0.945251i | \(-0.394183\pi\) |
−0.991425 | + | 0.130675i | \(0.958285\pi\) | |||||||
\(488\) | −12.7496 | + | 22.0829i | −0.577146 | + | 0.999646i | ||||
\(489\) | 4.44976 | + | 11.7330i | 0.201225 | + | 0.530587i | ||||
\(490\) | 4.11642 | − | 4.28564i | 0.185961 | − | 0.193606i | ||||
\(491\) | 2.94313 | + | 0.982560i | 0.132821 | + | 0.0443423i | 0.382302 | − | 0.924038i | \(-0.375132\pi\) |
−0.249480 | + | 0.968380i | \(0.580260\pi\) | |||||||
\(492\) | 4.38619 | + | 15.1429i | 0.197745 | + | 0.682695i | ||||
\(493\) | −5.08936 | + | 4.50878i | −0.229213 | + | 0.203065i | ||||
\(494\) | −2.45320 | − | 13.3667i | −0.110375 | − | 0.601398i | ||||
\(495\) | −3.88052 | − | 3.43784i | −0.174416 | − | 0.154520i | ||||
\(496\) | −3.13426 | + | 6.60531i | −0.140732 | + | 0.296587i | ||||
\(497\) | 12.3266 | + | 12.8333i | 0.552922 | + | 0.575653i | ||||
\(498\) | 1.23727 | + | 2.60750i | 0.0554436 | + | 0.116845i | ||||
\(499\) | −27.6167 | − | 6.80690i | −1.23629 | − | 0.304719i | −0.433597 | − | 0.901107i | \(-0.642756\pi\) |
−0.802696 | + | 0.596388i | \(0.796602\pi\) | |||||||
\(500\) | 14.6941 | − | 15.2982i | 0.657141 | − | 0.684156i | ||||
\(501\) | −3.22280 | − | 2.42178i | −0.143984 | − | 0.108197i | ||||
\(502\) | −10.4363 | − | 9.24573i | −0.465794 | − | 0.412657i | ||||
\(503\) | −7.30956 | − | 1.18792i | −0.325917 | − | 0.0529667i | −0.00474863 | − | 0.999989i | \(-0.501512\pi\) |
−0.321169 | + | 0.947022i | \(0.604076\pi\) | |||||||
\(504\) | −5.64695 | − | 3.57092i | −0.251535 | − | 0.159061i | ||||
\(505\) | 2.34977 | + | 0.189693i | 0.104564 | + | 0.00844125i | ||||
\(506\) | −9.36914 | −0.416509 | ||||||||
\(507\) | −6.94224 | + | 10.9911i | −0.308316 | + | 0.488134i | ||||
\(508\) | 24.8966 | 1.10461 | ||||||||
\(509\) | −29.6806 | − | 2.39606i | −1.31557 | − | 0.106204i | −0.597327 | − | 0.801998i | \(-0.703771\pi\) |
−0.718241 | + | 0.695794i | \(0.755053\pi\) | |||||||
\(510\) | 0.839152 | + | 0.530647i | 0.0371583 | + | 0.0234975i | ||||
\(511\) | −29.0712 | − | 4.72453i | −1.28604 | − | 0.209001i | ||||
\(512\) | −16.9481 | − | 15.0147i | −0.749008 | − | 0.663563i | ||||
\(513\) | −6.14986 | − | 4.62132i | −0.271523 | − | 0.204036i | ||||
\(514\) | −8.74651 | + | 9.10608i | −0.385792 | + | 0.401652i | ||||
\(515\) | −16.3425 | − | 4.02807i | −0.720137 | − | 0.177498i | ||||
\(516\) | −4.80507 | − | 10.1265i | −0.211531 | − | 0.445793i | ||||
\(517\) | 21.4513 | + | 22.3331i | 0.943426 | + | 0.982210i | ||||
\(518\) | 6.03407 | − | 12.7165i | 0.265122 | − | 0.558733i | ||||
\(519\) | −10.9616 | − | 9.71113i | −0.481161 | − | 0.426271i | ||||
\(520\) | 12.8789 | + | 2.35663i | 0.564778 | + | 0.103345i | ||||
\(521\) | −7.93980 | + | 7.03405i | −0.347849 | + | 0.308167i | −0.818897 | − | 0.573940i | \(-0.805414\pi\) |
0.471048 | + | 0.882107i | \(0.343876\pi\) | |||||||
\(522\) | −0.901598 | − | 3.11268i | −0.0394619 | − | 0.136238i | ||||
\(523\) | 17.8274 | + | 5.95166i | 0.779538 | + | 0.260248i | 0.678467 | − | 0.734631i | \(-0.262645\pi\) |
0.101071 | + | 0.994879i | \(0.467773\pi\) | |||||||
\(524\) | 8.96925 | − | 9.33798i | 0.391824 | − | 0.407932i | ||||
\(525\) | −1.43359 | − | 3.78007i | −0.0625671 | − | 0.164976i | ||||
\(526\) | 0.701573 | − | 1.21516i | 0.0305901 | − | 0.0529835i | ||||
\(527\) | −1.81626 | − | 2.22452i | −0.0791177 | − | 0.0969016i | ||||
\(528\) | −6.68364 | + | 1.64737i | −0.290868 | + | 0.0716926i | ||||
\(529\) | −14.9282 | + | 25.8564i | −0.649052 | + | 1.12419i | ||||
\(530\) | −1.89321 | − | 3.27914i | −0.0822360 | − | 0.142437i | ||||
\(531\) | 8.02392 | + | 8.35379i | 0.348209 | + | 0.362524i | ||||
\(532\) | −5.91838 | − | 48.7422i | −0.256594 | − | 2.11324i | ||||
\(533\) | −31.5072 | + | 7.10477i | −1.36473 | + | 0.307742i | ||||
\(534\) | −0.312972 | + | 2.57755i | −0.0135436 | + | 0.111542i | ||||
\(535\) | −19.6500 | + | 14.7660i | −0.849545 | + | 0.638391i | ||||
\(536\) | −9.00008 | − | 0.726561i | −0.388744 | − | 0.0313827i | ||||
\(537\) | 2.42928 | + | 11.8994i | 0.104831 | + | 0.513497i | ||||
\(538\) | 0.584180 | − | 4.81115i | 0.0251858 | − | 0.207424i | ||||
\(539\) | −14.8881 | − | 6.34321i | −0.641275 | − | 0.273222i | ||||
\(540\) | 2.93197 | − | 1.85407i | 0.126172 | − | 0.0797864i | ||||
\(541\) | 16.3863 | − | 14.5170i | 0.704502 | − | 0.624135i | −0.232852 | − | 0.972512i | \(-0.574806\pi\) |
0.937354 | + | 0.348378i | \(0.113267\pi\) | |||||||
\(542\) | −11.3362 | + | 0.915150i | −0.486930 | + | 0.0393090i | ||||
\(543\) | −5.82825 | − | 20.1214i | −0.250114 | − | 0.863494i | ||||
\(544\) | 4.69749 | − | 2.00141i | 0.201403 | − | 0.0858099i | ||||
\(545\) | −15.4357 | + | 22.3624i | −0.661192 | + | 0.957902i | ||||
\(546\) | 3.74363 | − | 5.19945i | 0.160213 | − | 0.222516i | ||||
\(547\) | −16.4047 | − | 23.7663i | −0.701413 | − | 1.01617i | −0.998125 | − | 0.0612052i | \(-0.980506\pi\) |
0.296712 | − | 0.954967i | \(-0.404110\pi\) | |||||||
\(548\) | −24.3401 | − | 15.3917i | −1.03976 | − | 0.657502i | ||||
\(549\) | −13.6620 | + | 2.22030i | −0.583082 | + | 0.0947600i | ||||
\(550\) | 1.32160 | + | 0.563080i | 0.0563531 | + | 0.0240098i | ||||
\(551\) | 28.9024 | − | 41.8724i | 1.23129 | − | 1.78382i | ||||
\(552\) | 3.72634 | − | 12.8648i | 0.158603 | − | 0.547563i | ||||
\(553\) | −0.654462 | − | 1.37925i | −0.0278305 | − | 0.0586516i | ||||
\(554\) | 3.11827 | − | 8.22220i | 0.132483 | − | 0.349328i | ||||
\(555\) | 9.87457 | + | 12.0941i | 0.419152 | + | 0.513368i | ||||
\(556\) | −0.0828237 | − | 2.05525i | −0.00351251 | − | 0.0871620i | ||||
\(557\) | 1.05510 | + | 26.1821i | 0.0447062 | + | 1.10937i | 0.853438 | + | 0.521195i | \(0.174513\pi\) |
−0.808732 | + | 0.588178i | \(0.799846\pi\) | |||||||
\(558\) | 1.32896 | − | 0.327560i | 0.0562595 | − | 0.0138667i | ||||
\(559\) | 21.3003 | − | 8.57917i | 0.900905 | − | 0.362860i | ||||
\(560\) | 18.1657 | + | 4.47745i | 0.767642 | + | 0.189207i | ||||
\(561\) | 0.540846 | − | 2.64924i | 0.0228345 | − | 0.111851i | ||||
\(562\) | −10.3008 | + | 4.38876i | −0.434513 | + | 0.185129i | ||||
\(563\) | 19.2969 | − | 12.2026i | 0.813267 | − | 0.514279i | −0.0619098 | − | 0.998082i | \(-0.519719\pi\) |
0.875177 | + | 0.483803i | \(0.160745\pi\) | |||||||
\(564\) | −18.3473 | + | 9.62943i | −0.772563 | + | 0.405472i | ||||
\(565\) | −6.83812 | − | 1.11130i | −0.287682 | − | 0.0467528i | ||||
\(566\) | 6.43036 | − | 2.14677i | 0.270288 | − | 0.0902355i | ||||
\(567\) | −0.437149 | − | 3.60025i | −0.0183585 | − | 0.151196i | ||||
\(568\) | 2.51481 | − | 8.68213i | 0.105519 | − | 0.364294i | ||||
\(569\) | −2.48092 | + | 12.1523i | −0.104005 | + | 0.509452i | 0.894097 | + | 0.447874i | \(0.147819\pi\) |
−0.998102 | + | 0.0615784i | \(0.980387\pi\) | |||||||
\(570\) | −7.04712 | − | 2.35268i | −0.295172 | − | 0.0985427i | ||||
\(571\) | 12.0968 | + | 6.34889i | 0.506235 | + | 0.265693i | 0.698448 | − | 0.715660i | \(-0.253874\pi\) |
−0.192213 | + | 0.981353i | \(0.561566\pi\) | |||||||
\(572\) | −3.01274 | − | 16.4155i | −0.125969 | − | 0.686367i | ||||
\(573\) | 18.3518 | − | 9.63175i | 0.766656 | − | 0.402372i | ||||
\(574\) | 15.7119 | − | 2.55343i | 0.655800 | − | 0.106578i | ||||
\(575\) | 6.47898 | − | 4.86863i | 0.270192 | − | 0.203036i | ||||
\(576\) | 0.112777 | − | 2.79854i | 0.00469905 | − | 0.116606i | ||||
\(577\) | 13.5273 | 0.563150 | 0.281575 | − | 0.959539i | \(-0.409143\pi\) | ||||
0.281575 | + | 0.959539i | \(0.409143\pi\) | |||||||
\(578\) | 0.314544 | − | 7.80533i | 0.0130833 | − | 0.324659i | ||||
\(579\) | −3.85005 | − | 18.8588i | −0.160003 | − | 0.783744i | ||||
\(580\) | 13.0335 | + | 18.8823i | 0.541188 | + | 0.784047i | ||||
\(581\) | −20.2635 | + | 6.76495i | −0.840672 | + | 0.280658i | ||||
\(582\) | −0.766543 | + | 1.61546i | −0.0317742 | + | 0.0669628i | ||||
\(583\) | −6.52160 | + | 7.98751i | −0.270097 | + | 0.330809i | ||||
\(584\) | 5.30527 | + | 13.9888i | 0.219534 | + | 0.578863i | ||||
\(585\) | 3.43045 | + | 6.22419i | 0.141832 | + | 0.257338i | ||||
\(586\) | 0.428067 | − | 1.12872i | 0.0176833 | − | 0.0466270i | ||||
\(587\) | 16.6704 | + | 28.8740i | 0.688060 | + | 1.19176i | 0.972464 | + | 0.233051i | \(0.0748710\pi\) |
−0.284404 | + | 0.958705i | \(0.591796\pi\) | |||||||
\(588\) | 6.84853 | − | 8.38792i | 0.282428 | − | 0.345912i | ||||
\(589\) | 17.1797 | + | 12.9097i | 0.707877 | + | 0.531935i | ||||
\(590\) | 9.90543 | + | 5.19877i | 0.407800 | + | 0.214030i | ||||
\(591\) | −22.1752 | + | 1.79017i | −0.912165 | + | 0.0736376i | ||||
\(592\) | 20.6639 | − | 1.66816i | 0.849281 | − | 0.0685611i | ||||
\(593\) | 28.5431 | + | 14.9806i | 1.17212 | + | 0.615179i | 0.934425 | − | 0.356160i | \(-0.115914\pi\) |
0.237700 | + | 0.971339i | \(0.423607\pi\) | |||||||
\(594\) | 1.03024 | + | 0.774175i | 0.0422713 | + | 0.0317648i | ||||
\(595\) | −4.64783 | + | 5.69256i | −0.190542 | + | 0.233372i | ||||
\(596\) | −8.03249 | − | 13.9127i | −0.329023 | − | 0.569885i | ||||
\(597\) | −5.14454 | + | 13.5651i | −0.210552 | + | 0.555181i | ||||
\(598\) | 12.0995 | + | 4.30849i | 0.494784 | + | 0.176187i | ||||
\(599\) | −5.00934 | − | 13.2085i | −0.204676 | − | 0.539686i | 0.792894 | − | 0.609360i | \(-0.208574\pi\) |
−0.997570 | + | 0.0696734i | \(0.977804\pi\) | |||||||
\(600\) | −1.29880 | + | 1.59074i | −0.0530233 | + | 0.0649418i | ||||
\(601\) | 7.98130 | − | 16.8202i | 0.325564 | − | 0.686112i | −0.673002 | − | 0.739640i | \(-0.734996\pi\) |
0.998566 | + | 0.0535287i | \(0.0170469\pi\) | |||||||
\(602\) | −10.7348 | + | 3.58379i | −0.437517 | + | 0.146065i | ||||
\(603\) | −2.78423 | − | 4.03366i | −0.113383 | − | 0.164263i | ||||
\(604\) | −0.123800 | − | 0.606415i | −0.00503737 | − | 0.0246747i | ||||
\(605\) | 0.324004 | − | 8.04009i | 0.0131727 | − | 0.326876i | ||||
\(606\) | −0.585998 | −0.0238045 | ||||||||
\(607\) | −0.100174 | + | 2.48578i | −0.00406592 | + | 0.100895i | 0.995882 | + | 0.0906620i | \(0.0288983\pi\) |
−0.999948 | + | 0.0102328i | \(0.996743\pi\) | |||||||
\(608\) | −30.5455 | + | 22.9534i | −1.23878 | + | 0.930885i | ||||
\(609\) | 23.6760 | − | 3.84773i | 0.959401 | − | 0.155918i | ||||
\(610\) | −11.8365 | + | 6.21227i | −0.479246 | + | 0.251528i | ||||
\(611\) | −17.4325 | − | 38.7060i | −0.705242 | − | 1.56588i | ||||
\(612\) | 1.60202 | + | 0.840806i | 0.0647579 | + | 0.0339876i | ||||
\(613\) | −4.26569 | − | 1.42410i | −0.172290 | − | 0.0575188i | 0.229214 | − | 0.973376i | \(-0.426384\pi\) |
−0.401504 | + | 0.915857i | \(0.631512\pi\) | |||||||
\(614\) | 0.946267 | − | 4.63512i | 0.0381882 | − | 0.187058i | ||||
\(615\) | −4.91251 | + | 16.9599i | −0.198091 | + | 0.683891i | ||||
\(616\) | 2.11817 | + | 17.4447i | 0.0853434 | + | 0.702866i | ||||
\(617\) | 19.8298 | − | 6.62017i | 0.798319 | − | 0.266518i | 0.111895 | − | 0.993720i | \(-0.464308\pi\) |
0.686424 | + | 0.727202i | \(0.259180\pi\) | |||||||
\(618\) | 4.12975 | + | 0.671150i | 0.166123 | + | 0.0269976i | ||||
\(619\) | −12.4168 | + | 6.51684i | −0.499073 | + | 0.261934i | −0.695424 | − | 0.718600i | \(-0.744783\pi\) |
0.196350 | + | 0.980534i | \(0.437091\pi\) | |||||||
\(620\) | −8.19050 | + | 5.17936i | −0.328938 | + | 0.208008i | ||||
\(621\) | 6.68847 | − | 2.84969i | 0.268399 | − | 0.114354i | ||||
\(622\) | −0.0475775 | + | 0.233050i | −0.00190768 | + | 0.00934445i | ||||
\(623\) | −18.6604 | − | 4.59936i | −0.747611 | − | 0.184270i | ||||
\(624\) | 9.38894 | + | 0.946091i | 0.375858 | + | 0.0378739i | ||||
\(625\) | 17.6553 | − | 4.35165i | 0.706213 | − | 0.174066i | ||||
\(626\) | −0.609111 | − | 15.1149i | −0.0243450 | − | 0.604114i | ||||
\(627\) | 0.814699 | + | 20.2165i | 0.0325359 | + | 0.807371i | ||||
\(628\) | 1.29465 | + | 1.58566i | 0.0516622 | + | 0.0632748i | ||||
\(629\) | −2.88759 | + | 7.61394i | −0.115136 | + | 0.303588i | ||||
\(630\) | −1.50154 | − | 3.16443i | −0.0598227 | − | 0.126074i | ||||
\(631\) | −1.39234 | + | 4.80690i | −0.0554280 | + | 0.191360i | −0.983455 | − | 0.181154i | \(-0.942017\pi\) |
0.928027 | + | 0.372514i | \(0.121504\pi\) | |||||||
\(632\) | −0.440529 | + | 0.638217i | −0.0175233 | + | 0.0253869i | ||||
\(633\) | 8.15728 | + | 3.47549i | 0.324223 | + | 0.138138i | ||||
\(634\) | −5.97604 | + | 0.971202i | −0.237339 | + | 0.0385713i | ||||
\(635\) | 23.5673 | + | 14.9031i | 0.935240 | + | 0.591410i | ||||
\(636\) | −3.91961 | − | 5.67854i | −0.155423 | − | 0.225169i | ||||
\(637\) | 16.3097 | + | 15.0382i | 0.646216 | + | 0.595834i | ||||
\(638\) | −4.84181 | + | 7.01457i | −0.191689 | + | 0.277710i | ||||
\(639\) | 4.51387 | − | 1.92318i | 0.178566 | − | 0.0760799i | ||||
\(640\) | −6.20019 | − | 21.4055i | −0.245084 | − | 0.846128i | ||||
\(641\) | −27.2676 | + | 2.20127i | −1.07700 | + | 0.0869448i | −0.606215 | − | 0.795301i | \(-0.707313\pi\) |
−0.470789 | + | 0.882246i | \(0.656031\pi\) | |||||||
\(642\) | 4.57333 | − | 4.05162i | 0.180495 | − | 0.159905i | ||||
\(643\) | −13.2578 | + | 8.38373i | −0.522837 | + | 0.330622i | −0.769676 | − | 0.638434i | \(-0.779582\pi\) |
0.246839 | + | 0.969056i | \(0.420608\pi\) | |||||||
\(644\) | 42.6906 | + | 18.1888i | 1.68225 | + | 0.716738i | ||||
\(645\) | 1.51317 | − | 12.4621i | 0.0595811 | − | 0.490695i | ||||
\(646\) | −0.775067 | − | 3.79653i | −0.0304946 | − | 0.149372i | ||||
\(647\) | 34.1776 | + | 2.75910i | 1.34366 | + | 0.108472i | 0.731272 | − | 0.682085i | \(-0.238927\pi\) |
0.612388 | + | 0.790557i | \(0.290209\pi\) | |||||||
\(648\) | −1.47278 | + | 1.10672i | −0.0578561 | + | 0.0434760i | ||||
\(649\) | 3.67221 | − | 30.2433i | 0.144147 | − | 1.18715i | ||||
\(650\) | −1.44780 | − | 1.33492i | −0.0567873 | − | 0.0523599i | ||||
\(651\) | 1.22118 | + | 10.0573i | 0.0478618 | + | 0.394178i | ||||
\(652\) | 15.2984 | + | 15.9274i | 0.599133 | + | 0.623764i | ||||
\(653\) | −3.39141 | − | 5.87409i | −0.132716 | − | 0.229871i | 0.792007 | − | 0.610513i | \(-0.209036\pi\) |
−0.924723 | + | 0.380642i | \(0.875703\pi\) | |||||||
\(654\) | 3.37720 | − | 5.84949i | 0.132059 | − | 0.228733i | ||||
\(655\) | 14.0801 | − | 3.47042i | 0.550153 | − | 0.135601i | ||||
\(656\) | 14.8276 | + | 18.1605i | 0.578919 | + | 0.709047i | ||||
\(657\) | −4.06054 | + | 7.03306i | −0.158417 | + | 0.274386i | ||||
\(658\) | 7.41884 | + | 19.5619i | 0.289216 | + | 0.762601i | ||||
\(659\) | −7.51926 | + | 7.82837i | −0.292909 | + | 0.304950i | −0.851355 | − | 0.524591i | \(-0.824218\pi\) |
0.558446 | + | 0.829541i | \(0.311398\pi\) | |||||||
\(660\) | −8.65449 | − | 2.88929i | −0.336875 | − | 0.112466i | ||||
\(661\) | 1.80914 | + | 6.24586i | 0.0703672 | + | 0.242936i | 0.987990 | − | 0.154516i | \(-0.0493818\pi\) |
−0.917623 | + | 0.397452i | \(0.869895\pi\) | |||||||
\(662\) | 7.42725 | − | 6.57997i | 0.288668 | − | 0.255738i | ||||
\(663\) | −1.91673 | + | 3.17256i | −0.0744398 | + | 0.123212i | ||||
\(664\) | 8.12265 | + | 7.19604i | 0.315220 | + | 0.279260i | ||||
\(665\) | 23.5746 | − | 49.6825i | 0.914185 | − | 1.92660i | ||||
\(666\) | −2.68853 | − | 2.79905i | −0.104178 | − | 0.108461i | ||||
\(667\) | 20.6136 | + | 43.4422i | 0.798161 | + | 1.68209i | ||||
\(668\) | −6.88866 | − | 1.69790i | −0.266530 | − | 0.0656938i | ||||
\(669\) | −15.9598 | + | 16.6159i | −0.617040 | + | 0.642407i | ||||
\(670\) | −3.78421 | − | 2.84365i | −0.146197 | − | 0.109860i | ||||
\(671\) | 27.2493 | + | 24.1408i | 1.05195 | + | 0.931945i | ||||
\(672\) | −17.7800 | − | 2.88953i | −0.685878 | − | 0.111466i | ||||
\(673\) | 7.56710 | + | 4.78514i | 0.291690 | + | 0.184454i | 0.672293 | − | 0.740285i | \(-0.265309\pi\) |
−0.380603 | + | 0.924738i | \(0.624284\pi\) | |||||||
\(674\) | −5.90300 | − | 0.476539i | −0.227375 | − | 0.0183556i | ||||
\(675\) | −1.11473 | −0.0429060 | ||||||||
\(676\) | −3.65812 | + | 22.5847i | −0.140697 | + | 0.868644i | ||||
\(677\) | 23.4989 | 0.903136 | 0.451568 | − | 0.892237i | \(-0.350865\pi\) | ||||
0.451568 | + | 0.892237i | \(0.350865\pi\) | |||||||
\(678\) | 1.71651 | + | 0.138571i | 0.0659221 | + | 0.00532178i | ||||
\(679\) | −11.1863 | − | 7.07378i | −0.429290 | − | 0.271467i | ||||
\(680\) | 3.68472 | + | 0.598826i | 0.141303 | + | 0.0229639i | ||||
\(681\) | −4.06372 | − | 3.60014i | −0.155722 | − | 0.137958i | ||||
\(682\) | −2.87799 | − | 2.16267i | −0.110204 | − | 0.0828127i | ||||
\(683\) | 19.1761 | − | 19.9644i | 0.733753 | − | 0.763918i | −0.244875 | − | 0.969555i | \(-0.578747\pi\) |
0.978628 | + | 0.205637i | \(0.0659266\pi\) | |||||||
\(684\) | −13.1452 | − | 3.23999i | −0.502618 | − | 0.123884i | ||||
\(685\) | −13.8270 | − | 29.1398i | −0.528303 | − | 1.11338i | ||||
\(686\) | 1.04276 | + | 1.08562i | 0.0398126 | + | 0.0414493i | ||||
\(687\) | 2.20311 | − | 4.64295i | 0.0840537 | − | 0.177139i | ||||
\(688\) | −12.4766 | − | 11.0533i | −0.475665 | − | 0.421402i | ||||
\(689\) | 12.0952 | − | 7.31620i | 0.460792 | − | 0.278725i | ||||
\(690\) | 5.25565 | − | 4.65610i | 0.200079 | − | 0.177255i | ||||
\(691\) | 1.10422 | + | 3.81220i | 0.0420064 | + | 0.145023i | 0.978780 | − | 0.204912i | \(-0.0656909\pi\) |
−0.936774 | + | 0.349935i | \(0.886204\pi\) | |||||||
\(692\) | −24.4470 | − | 8.16160i | −0.929334 | − | 0.310257i | ||||
\(693\) | −6.60773 | + | 6.87938i | −0.251007 | + | 0.261326i | ||||
\(694\) | 3.03370 | + | 7.99920i | 0.115158 | + | 0.303646i | ||||
\(695\) | 1.15187 | − | 1.99509i | 0.0436928 | − | 0.0756781i | ||||
\(696\) | −7.70604 | − | 9.43818i | −0.292097 | − | 0.357753i | ||||
\(697\) | −8.94144 | + | 2.20387i | −0.338681 | + | 0.0834774i | ||||
\(698\) | −5.62497 | + | 9.74273i | −0.212908 | + | 0.368768i | ||||
\(699\) | 4.83741 | + | 8.37864i | 0.182968 | + | 0.316909i | ||||
\(700\) | −4.92875 | − | 5.13137i | −0.186289 | − | 0.193948i | ||||
\(701\) | 1.33175 | + | 10.9679i | 0.0502995 | + | 0.414254i | 0.996010 | + | 0.0892431i | \(0.0284448\pi\) |
−0.945710 | + | 0.325011i | \(0.894632\pi\) | |||||||
\(702\) | −0.974459 | − | 1.47355i | −0.0367786 | − | 0.0556155i | ||||
\(703\) | 7.34483 | − | 60.4901i | 0.277015 | − | 2.28143i | ||||
\(704\) | −5.88914 | + | 4.42540i | −0.221955 | + | 0.166789i | ||||
\(705\) | −23.1319 | − | 1.86740i | −0.871197 | − | 0.0703303i | ||||
\(706\) | 2.94465 | + | 14.4238i | 0.110823 | + | 0.542848i | ||||
\(707\) | 0.522825 | − | 4.30585i | 0.0196628 | − | 0.161938i | ||||
\(708\) | 18.7542 | + | 7.99044i | 0.704828 | + | 0.300299i | ||||
\(709\) | 14.5229 | − | 9.18371i | 0.545418 | − | 0.344901i | −0.233171 | − | 0.972436i | \(-0.574910\pi\) |
0.778589 | + | 0.627534i | \(0.215936\pi\) | |||||||
\(710\) | 3.54690 | − | 3.14228i | 0.133113 | − | 0.117928i | ||||
\(711\) | −0.419582 | + | 0.0338722i | −0.0157356 | + | 0.00127031i | ||||
\(712\) | 2.71612 | + | 9.37715i | 0.101791 | + | 0.351424i | ||||
\(713\) | −18.6843 | + | 7.96064i | −0.699733 | + | 0.298128i | ||||
\(714\) | 1.03773 | − | 1.50341i | 0.0388360 | − | 0.0562637i | ||||
\(715\) | 6.97441 | − | 17.3425i | 0.260828 | − | 0.648572i | ||||
\(716\) | 12.1418 | + | 17.5905i | 0.453762 | + | 0.657388i | ||||
\(717\) | −6.25345 | − | 3.95444i | −0.233539 | − | 0.147681i | ||||
\(718\) | 7.23335 | − | 1.17553i | 0.269946 | − | 0.0438705i | ||||
\(719\) | 6.96903 | + | 2.96923i | 0.259901 | + | 0.110733i | 0.517987 | − | 0.855389i | \(-0.326682\pi\) |
−0.258086 | + | 0.966122i | \(0.583092\pi\) | |||||||
\(720\) | 2.93054 | − | 4.24561i | 0.109215 | − | 0.158225i | ||||
\(721\) | −8.61609 | + | 29.7462i | −0.320880 | + | 1.10781i | ||||
\(722\) | 8.43911 | + | 17.7851i | 0.314071 | + | 0.661891i | ||||
\(723\) | 4.48325 | − | 11.8214i | 0.166734 | − | 0.439641i | ||||
\(724\) | −23.3170 | − | 28.5581i | −0.866568 | − | 1.06135i | ||||
\(725\) | −0.296870 | − | 7.36676i | −0.0110255 | − | 0.273595i | ||||
\(726\) | 0.0805397 | + | 1.99857i | 0.00298911 | + | 0.0741740i | ||||
\(727\) | 27.6081 | − | 6.80479i | 1.02393 | − | 0.252376i | 0.308620 | − | 0.951185i | \(-0.400133\pi\) |
0.715308 | + | 0.698810i | \(0.246287\pi\) | |||||||
\(728\) | 5.28666 | − | 23.5024i | 0.195937 | − | 0.871059i | ||||
\(729\) | −0.970942 | − | 0.239316i | −0.0359608 | − | 0.00886354i | ||||
\(730\) | −1.56884 | + | 7.68470i | −0.0580655 | + | 0.284423i | ||||
\(731\) | 6.02342 | − | 2.56634i | 0.222784 | − | 0.0949194i | ||||
\(732\) | −20.5886 | + | 13.0194i | −0.760975 | + | 0.481211i | ||||
\(733\) | 3.28648 | − | 1.72488i | 0.121389 | − | 0.0637099i | −0.402936 | − | 0.915228i | \(-0.632010\pi\) |
0.524325 | + | 0.851518i | \(0.324318\pi\) | |||||||
\(734\) | 10.5301 | + | 1.71130i | 0.388671 | + | 0.0631652i | ||||
\(735\) | 11.5039 | − | 3.84055i | 0.424326 | − | 0.141661i | ||||
\(736\) | −4.35261 | − | 35.8470i | −0.160439 | − | 1.32134i | ||||
\(737\) | −3.58652 | + | 12.3821i | −0.132111 | + | 0.456101i | ||||
\(738\) | 0.877937 | − | 4.30042i | 0.0323173 | − | 0.158301i | ||||
\(739\) | 7.56338 | + | 2.52503i | 0.278224 | + | 0.0928847i | 0.452356 | − | 0.891838i | \(-0.350584\pi\) |
−0.174132 | + | 0.984722i | \(0.555712\pi\) | |||||||
\(740\) | 24.3308 | + | 12.7698i | 0.894420 | + | 0.469428i | ||||
\(741\) | 8.24465 | − | 26.4827i | 0.302875 | − | 0.972865i | ||||
\(742\) | −6.16875 | + | 3.23761i | −0.226462 | + | 0.118856i | ||||
\(743\) | 23.8812 | − | 3.88107i | 0.876115 | − | 0.142383i | 0.294309 | − | 0.955710i | \(-0.404910\pi\) |
0.581806 | + | 0.813328i | \(0.302346\pi\) | |||||||
\(744\) | 4.11421 | − | 3.09163i | 0.150834 | − | 0.113345i | ||||
\(745\) | 0.724491 | − | 17.9781i | 0.0265433 | − | 0.658665i | ||||
\(746\) | 8.13181 | 0.297727 | ||||||||
\(747\) | −0.237185 | + | 5.88570i | −0.00867816 | + | 0.215346i | ||||
\(748\) | −0.951850 | − | 4.66247i | −0.0348031 | − | 0.170477i | ||||
\(749\) | 25.6906 | + | 37.2192i | 0.938713 | + | 1.35996i | ||||
\(750\) | −5.60159 | + | 1.87009i | −0.204541 | + | 0.0682859i | ||||
\(751\) | −16.5770 | + | 34.9354i | −0.604905 | + | 1.27481i | 0.337811 | + | 0.941214i | \(0.390313\pi\) |
−0.942716 | + | 0.333596i | \(0.891738\pi\) | |||||||
\(752\) | −19.4882 | + | 23.8688i | −0.710663 | + | 0.870404i | ||||
\(753\) | −10.0907 | − | 26.6071i | −0.367727 | − | 0.969616i | ||||
\(754\) | 9.47852 | − | 6.83220i | 0.345187 | − | 0.248814i | ||||
\(755\) | 0.245808 | − | 0.648143i | 0.00894588 | − | 0.0235883i | ||||
\(756\) | −3.19136 | − | 5.52760i | −0.116069 | − | 0.201037i | ||||
\(757\) | −27.1243 | + | 33.2212i | −0.985850 | + | 1.20745i | −0.00760970 | + | 0.999971i | \(0.502422\pi\) |
−0.978240 | + | 0.207476i | \(0.933475\pi\) | |||||||
\(758\) | −6.33779 | − | 4.76254i | −0.230199 | − | 0.172983i | ||||
\(759\) | −16.9316 | − | 8.88637i | −0.614577 | − | 0.322555i | ||||
\(760\) | −27.8437 | + | 2.24778i | −1.01000 | + | 0.0815354i | ||||
\(761\) | −35.2427 | + | 2.84509i | −1.27755 | + | 0.103134i | −0.700545 | − | 0.713608i | \(-0.747060\pi\) |
−0.577002 | + | 0.816742i | \(0.695778\pi\) | |||||||
\(762\) | −6.13736 | − | 3.22113i | −0.222333 | − | 0.116689i | ||||
\(763\) | 39.9683 | + | 30.0342i | 1.44695 | + | 1.08731i | ||||
\(764\) | 23.0690 | − | 28.2544i | 0.834608 | − | 1.02221i | ||||
\(765\) | 1.01318 | + | 1.75488i | 0.0366316 | + | 0.0634478i | ||||
\(766\) | 5.02176 | − | 13.2413i | 0.181444 | − | 0.478428i | ||||
\(767\) | −18.6500 | + | 37.3681i | −0.673414 | + | 1.34928i | ||||
\(768\) | −0.0219846 | − | 0.0579685i | −0.000793299 | − | 0.00209176i | ||||
\(769\) | 11.0888 | − | 13.5813i | 0.399873 | − | 0.489755i | −0.534943 | − | 0.844888i | \(-0.679667\pi\) |
0.934816 | + | 0.355133i | \(0.115564\pi\) | |||||||
\(770\) | −3.94928 | + | 8.32293i | −0.142322 | + | 0.299938i | ||||
\(771\) | −24.4432 | + | 8.16035i | −0.880302 | + | 0.293888i | ||||
\(772\) | −19.2430 | − | 27.8783i | −0.692572 | − | 1.00336i | ||||
\(773\) | 5.23911 | + | 25.6628i | 0.188438 | + | 0.923028i | 0.958507 | + | 0.285068i | \(0.0920163\pi\) |
−0.770070 | + | 0.637960i | \(0.779779\pi\) | |||||||
\(774\) | −0.125651 | + | 3.11800i | −0.00451643 | + | 0.112074i | ||||
\(775\) | 3.11401 | 0.111859 | ||||||||
\(776\) | −0.270712 | + | 6.71766i | −0.00971801 | + | 0.241150i | ||||
\(777\) | 22.9658 | − | 17.2577i | 0.823895 | − | 0.619117i | ||||
\(778\) | 4.72066 | − | 0.767182i | 0.169244 | − | 0.0275048i | ||||
\(779\) | 61.0173 | − | 32.0243i | 2.18617 | − | 1.14739i | ||||
\(780\) | 9.84789 | + | 7.71113i | 0.352611 | + | 0.276103i | ||||
\(781\) | −11.4267 | − | 5.99718i | −0.408879 | − | 0.214596i | ||||
\(782\) | 3.47359 | + | 1.15965i | 0.124215 | + | 0.0414691i | ||||
\(783\) | 1.32295 | − | 6.48026i | 0.0472785 | − | 0.231585i | ||||
\(784\) | 4.48024 | − | 15.4676i | 0.160009 | − | 0.552414i | ||||
\(785\) | 0.276353 | + | 2.27597i | 0.00986347 | + | 0.0812330i | ||||
\(786\) | −3.41920 | + | 1.14150i | −0.121959 | + | 0.0407158i | ||||
\(787\) | −18.8683 | − | 3.06639i | −0.672581 | − | 0.109305i | −0.185477 | − | 0.982649i | \(-0.559383\pi\) |
−0.487105 | + | 0.873344i | \(0.661947\pi\) | |||||||
\(788\) | −34.6689 | + | 18.1956i | −1.23503 | + | 0.648193i | ||||
\(789\) | 2.42040 | − | 1.53057i | 0.0861687 | − | 0.0544898i | ||||
\(790\) | −0.374012 | + | 0.159352i | −0.0133068 | + | 0.00566948i | ||||
\(791\) | −2.54967 | + | 12.4891i | −0.0906557 | + | 0.444061i | ||||
\(792\) | 4.70461 | + | 1.15958i | 0.167171 | + | 0.0412040i | ||||
\(793\) | −24.0889 | − | 43.7067i | −0.855422 | − | 1.55207i | ||||
\(794\) | −3.13570 | + | 0.772881i | −0.111282 | + | 0.0274285i | ||||
\(795\) | −0.311170 | − | 7.72161i | −0.0110361 | − | 0.273857i | ||||
\(796\) | 1.02810 | + | 25.5120i | 0.0364400 | + | 0.904250i | ||||
\(797\) | −11.6345 | − | 14.2497i | −0.412116 | − | 0.504750i | 0.526280 | − | 0.850311i | \(-0.323586\pi\) |
−0.938396 | + | 0.345561i | \(0.887689\pi\) | |||||||
\(798\) | −4.84733 | + | 12.7814i | −0.171594 | + | 0.452455i | ||||
\(799\) | −5.18875 | − | 10.9351i | −0.183565 | − | 0.386855i | ||||
\(800\) | −1.54041 | + | 5.31812i | −0.0544618 | + | 0.188024i | ||||
\(801\) | −3.01033 | + | 4.36121i | −0.106365 | + | 0.154096i | ||||
\(802\) | 8.19338 | + | 3.49087i | 0.289318 | + | 0.123267i | ||||
\(803\) | 21.0831 | − | 3.42634i | 0.744006 | − | 0.120913i | ||||
\(804\) | −7.29050 | − | 4.61023i | −0.257116 | − | 0.162590i | ||||
\(805\) | 29.5235 | + | 42.7721i | 1.04057 | + | 1.50752i | ||||
\(806\) | 2.72216 | + | 4.11637i | 0.0958840 | + | 0.144993i | ||||
\(807\) | 5.61896 | − | 8.14046i | 0.197797 | − | 0.286558i | ||||
\(808\) | −2.02700 | + | 0.863624i | −0.0713096 | + | 0.0303822i | ||||
\(809\) | 12.4436 | + | 42.9604i | 0.437495 | + | 1.51041i | 0.812264 | + | 0.583290i | \(0.198235\pi\) |
−0.374769 | + | 0.927118i | \(0.622278\pi\) | |||||||
\(810\) | −0.962652 | + | 0.0777133i | −0.0338242 | + | 0.00273057i | ||||
\(811\) | −20.8682 | + | 18.4876i | −0.732781 | + | 0.649187i | −0.944638 | − | 0.328113i | \(-0.893587\pi\) |
0.211857 | + | 0.977301i | \(0.432049\pi\) | |||||||
\(812\) | 35.6795 | − | 22.5624i | 1.25211 | − | 0.791784i | ||||
\(813\) | −21.3543 | − | 9.09822i | −0.748928 | − | 0.319088i | ||||
\(814\) | −1.23042 | + | 10.1335i | −0.0431263 | + | 0.355177i | ||||
\(815\) | 4.94752 | + | 24.2346i | 0.173304 | + | 0.848900i | ||||
\(816\) | 2.68185 | + | 0.216501i | 0.0938834 | + | 0.00757905i | ||||
\(817\) | −39.1673 | + | 29.4323i | −1.37029 | + | 1.02971i | ||||
\(818\) | −1.35779 | + | 11.1824i | −0.0474740 | + | 0.390983i | ||||
\(819\) | 11.6969 | − | 5.84553i | 0.408723 | − | 0.204259i | ||||
\(820\) | 3.74570 | + | 30.8486i | 0.130806 | + | 1.07728i | ||||
\(821\) | −1.93328 | − | 2.01275i | −0.0674718 | − | 0.0702456i | 0.686611 | − | 0.727025i | \(-0.259098\pi\) |
−0.754083 | + | 0.656780i | \(0.771918\pi\) | |||||||
\(822\) | 4.00878 | + | 6.94340i | 0.139822 | + | 0.242179i | ||||
\(823\) | 20.7243 | − | 35.8956i | 0.722405 | − | 1.25124i | −0.237629 | − | 0.971356i | \(-0.576370\pi\) |
0.960033 | − | 0.279885i | \(-0.0902965\pi\) | |||||||
\(824\) | 15.2742 | − | 3.76475i | 0.532101 | − | 0.131151i | ||||
\(825\) | 1.85428 | + | 2.27108i | 0.0645577 | + | 0.0790688i | ||||
\(826\) | 10.2914 | − | 17.8253i | 0.358085 | − | 0.620222i | ||||
\(827\) | 0.547731 | + | 1.44425i | 0.0190465 | + | 0.0502214i | 0.944202 | − | 0.329366i | \(-0.106835\pi\) |
−0.925156 | + | 0.379588i | \(0.876066\pi\) | |||||||
\(828\) | 8.86348 | − | 9.22786i | 0.308027 | − | 0.320690i | ||||
\(829\) | 6.20679 | + | 2.07213i | 0.215571 | + | 0.0719681i | 0.422402 | − | 0.906408i | \(-0.361187\pi\) |
−0.206831 | + | 0.978377i | \(0.566315\pi\) | |||||||
\(830\) | 1.58276 | + | 5.46432i | 0.0549384 | + | 0.189669i | ||||
\(831\) | 13.4338 | − | 11.9013i | 0.466012 | − | 0.412851i | ||||
\(832\) | 9.64041 | − | 3.00687i | 0.334221 | − | 0.104244i | ||||
\(833\) | 4.73460 | + | 4.19449i | 0.164044 | + | 0.145330i | ||||
\(834\) | −0.245492 | + | 0.517363i | −0.00850069 | + | 0.0179148i | ||||
\(835\) | −5.50449 | − | 5.73078i | −0.190491 | − | 0.198322i | ||||
\(836\) | 15.2651 | + | 32.1706i | 0.527956 | + | 1.11264i | ||||
\(837\) | 2.71233 | + | 0.668530i | 0.0937520 | + | 0.0231078i | ||||
\(838\) | 4.31069 | − | 4.48790i | 0.148910 | − | 0.155032i | ||||
\(839\) | −32.8405 | − | 24.6780i | −1.13378 | − | 0.851979i | −0.143304 | − | 0.989679i | \(-0.545773\pi\) |
−0.990474 | + | 0.137699i | \(0.956029\pi\) | |||||||
\(840\) | −9.85753 | − | 8.73301i | −0.340117 | − | 0.301318i | ||||
\(841\) | 14.5530 | + | 2.36509i | 0.501827 | + | 0.0815549i | ||||
\(842\) | 6.12037 | + | 3.87029i | 0.210922 | + | 0.133379i | ||||
\(843\) | −22.7778 | − | 1.83882i | −0.784511 | − | 0.0633322i | ||||
\(844\) | 15.6050 | 0.537145 | ||||||||
\(845\) | −16.9820 | + | 19.1891i | −0.584198 | + | 0.660126i | ||||
\(846\) | 5.76873 | 0.198333 | ||||||||
\(847\) | −14.7572 | − | 1.19132i | −0.507062 | − | 0.0409343i | ||||
\(848\) | −8.67247 | − | 5.48414i | −0.297814 | − | 0.188326i | ||||
\(849\) | 13.6569 | + | 2.21946i | 0.468703 | + | 0.0761716i | ||||
\(850\) | −0.420285 | − | 0.372340i | −0.0144157 | − | 0.0127712i | ||||
\(851\) | 46.0384 | + | 34.5956i | 1.57818 | + | 1.18592i | ||||
\(852\) | 5.98173 | − | 6.22764i | 0.204931 | − | 0.213356i | ||||
\(853\) | −19.2251 | − | 4.73857i | −0.658256 | − | 0.162246i | −0.103981 | − | 0.994579i | \(-0.533158\pi\) |
−0.554275 | + | 0.832334i | \(0.687004\pi\) | |||||||
\(854\) | 10.5439 | + | 22.2208i | 0.360806 | + | 0.760382i | ||||
\(855\) | −10.5039 | − | 10.9357i | −0.359224 | − | 0.373992i | ||||
\(856\) | 9.84828 | − | 20.7548i | 0.336607 | − | 0.709385i | ||||
\(857\) | −25.4943 | − | 22.5859i | −0.870868 | − | 0.771521i | 0.103937 | − | 0.994584i | \(-0.466856\pi\) |
−0.974804 | + | 0.223063i | \(0.928395\pi\) | |||||||
\(858\) | −1.38116 | + | 4.43644i | −0.0471522 | + | 0.151458i | ||||
\(859\) | −9.33061 | + | 8.26620i | −0.318356 | + | 0.282039i | −0.807133 | − | 0.590370i | \(-0.798982\pi\) |
0.488776 | + | 0.872409i | \(0.337443\pi\) | |||||||
\(860\) | −6.14680 | − | 21.2212i | −0.209604 | − | 0.723637i | ||||
\(861\) | 30.8157 | + | 10.2878i | 1.05020 | + | 0.350608i | ||||
\(862\) | −4.03540 | + | 4.20130i | −0.137446 | + | 0.143097i | ||||
\(863\) | 9.66966 | + | 25.4968i | 0.329159 | + | 0.867921i | 0.992791 | + | 0.119861i | \(0.0382450\pi\) |
−0.663632 | + | 0.748059i | \(0.730986\pi\) | |||||||
\(864\) | −2.48343 | + | 4.30143i | −0.0844880 | + | 0.146338i | ||||
\(865\) | −18.2562 | − | 22.3597i | −0.620728 | − | 0.760254i | ||||
\(866\) | 18.8481 | − | 4.64565i | 0.640486 | − | 0.157866i | ||||
\(867\) | 7.97158 | − | 13.8072i | 0.270729 | − | 0.468916i | ||||
\(868\) | 8.91509 | + | 15.4414i | 0.302598 | + | 0.524115i | ||||
\(869\) | 0.766955 | + | 0.798485i | 0.0260172 | + | 0.0270867i | ||||
\(870\) | −0.769942 | − | 6.34104i | −0.0261035 | − | 0.214982i | ||||
\(871\) | 10.3257 | − | 14.3412i | 0.349874 | − | 0.485933i | ||||
\(872\) | 3.06116 | − | 25.2109i | 0.103664 | − | 0.853749i | ||||
\(873\) | −2.91748 | + | 2.19235i | −0.0987419 | + | 0.0741997i | ||||
\(874\) | −27.3140 | − | 2.20501i | −0.923910 | − | 0.0745857i | ||||
\(875\) | −8.74348 | − | 42.8284i | −0.295583 | − | 1.44786i | ||||
\(876\) | −1.72277 | + | 14.1883i | −0.0582071 | + | 0.479379i | ||||
\(877\) | −3.40837 | − | 1.45217i | −0.115093 | − | 0.0490364i | 0.333653 | − | 0.942696i | \(-0.391719\pi\) |
−0.448745 | + | 0.893660i | \(0.648129\pi\) | |||||||
\(878\) | −0.632780 | + | 0.400146i | −0.0213553 | + | 0.0135043i | ||||
\(879\) | 1.84415 | − | 1.63377i | 0.0622015 | − | 0.0551057i | ||||
\(880\) | −13.5245 | + | 1.09181i | −0.455910 | + | 0.0368048i | ||||
\(881\) | 16.0354 | + | 55.3607i | 0.540247 | + | 1.86515i | 0.500123 | + | 0.865954i | \(0.333288\pi\) |
0.0401235 | + | 0.999195i | \(0.487225\pi\) | |||||||
\(882\) | −2.77349 | + | 1.18167i | −0.0933882 | + | 0.0397890i | ||||
\(883\) | 22.3679 | − | 32.4055i | 0.752740 | − | 1.09053i | −0.240061 | − | 0.970758i | \(-0.577167\pi\) |
0.992801 | − | 0.119775i | \(-0.0382172\pi\) | |||||||
\(884\) | −0.914843 | + | 6.45892i | −0.0307695 | + | 0.217237i | ||||
\(885\) | 12.9698 | + | 18.7901i | 0.435976 | + | 0.631621i | ||||
\(886\) | 8.93484 | + | 5.65005i | 0.300172 | + | 0.189817i | ||||
\(887\) | 4.73945 | − | 0.770236i | 0.159135 | − | 0.0258620i | −0.0803216 | − | 0.996769i | \(-0.525595\pi\) |
0.239457 | + | 0.970907i | \(0.423031\pi\) | |||||||
\(888\) | −13.4249 | − | 5.71983i | −0.450511 | − | 0.191945i | ||||
\(889\) | 29.1443 | − | 42.2228i | 0.977467 | − | 1.41611i | ||||
\(890\) | −1.42390 | + | 4.91589i | −0.0477294 | + | 0.164781i | ||||
\(891\) | 1.12753 | + | 2.37622i | 0.0377736 | + | 0.0796062i | ||||
\(892\) | −14.3782 | + | 37.9123i | −0.481419 | + | 1.26940i | ||||
\(893\) | 57.2812 | + | 70.1567i | 1.91684 | + | 2.34770i | ||||
\(894\) | 0.180091 | + | 4.46891i | 0.00602315 | + | 0.149463i | ||||
\(895\) | 0.963918 | + | 23.9194i | 0.0322202 | + | 0.799536i | ||||
\(896\) | −39.8120 | + | 9.81278i | −1.33003 | + | 0.327822i | ||||
\(897\) | 17.7793 | + | 19.2622i | 0.593632 | + | 0.643145i | ||||
\(898\) | −7.45921 | − | 1.83853i | −0.248917 | − | 0.0613526i | ||||
\(899\) | −3.69568 | + | 18.1027i | −0.123258 | + | 0.603757i | ||||
\(900\) | −1.80486 | + | 0.768979i | −0.0601620 | + | 0.0256326i | ||||
\(901\) | 3.40651 | − | 2.15415i | 0.113487 | − | 0.0717651i | ||||
\(902\) | −10.2218 | + | 5.36480i | −0.340348 | + | 0.178628i | ||||
\(903\) | −22.7986 | − | 3.70514i | −0.758690 | − | 0.123299i | ||||
\(904\) | 6.14172 | − | 2.05041i | 0.204271 | − | 0.0681955i | ||||
\(905\) | −4.97718 | − | 40.9908i | −0.165447 | − | 1.36258i | ||||
\(906\) | −0.0479397 | + | 0.165507i | −0.00159269 | + | 0.00549860i | ||||
\(907\) | 8.04917 | − | 39.4274i | 0.267268 | − | 1.30917i | −0.595414 | − | 0.803419i | \(-0.703012\pi\) |
0.862682 | − | 0.505747i | \(-0.168783\pi\) | |||||||
\(908\) | −9.06306 | − | 3.02569i | −0.300768 | − | 0.100411i | ||||
\(909\) | −1.05899 | − | 0.555803i | −0.0351246 | − | 0.0184348i | ||||
\(910\) | 8.92755 | − | 8.93228i | 0.295945 | − | 0.296102i | ||||
\(911\) | 1.43207 | − | 0.751608i | 0.0474466 | − | 0.0249019i | −0.440833 | − | 0.897589i | \(-0.645317\pi\) |
0.488280 | + | 0.872687i | \(0.337625\pi\) | |||||||
\(912\) | −19.8726 | + | 3.22962i | −0.658049 | + | 0.106943i | ||||
\(913\) | 12.3857 | − | 9.30722i | 0.409906 | − | 0.308024i | ||||
\(914\) | 0.678055 | − | 16.8258i | 0.0224281 | − | 0.556547i | ||||
\(915\) | −27.2827 | −0.901937 | ||||||||
\(916\) | 0.364185 | − | 9.03717i | 0.0120330 | − | 0.298596i | ||||
\(917\) | −5.33700 | − | 26.1423i | −0.176243 | − | 0.863296i | ||||
\(918\) | −0.286137 | − | 0.414540i | −0.00944391 | − | 0.0136819i | ||||
\(919\) | 34.1737 | − | 11.4089i | 1.12729 | − | 0.376344i | 0.308948 | − | 0.951079i | \(-0.400023\pi\) |
0.818339 | + | 0.574735i | \(0.194895\pi\) | |||||||
\(920\) | 11.3176 | − | 23.8513i | 0.373130 | − | 0.786355i | ||||
\(921\) | 6.10634 | − | 7.47891i | 0.201211 | − | 0.246439i | ||||
\(922\) | 3.50647 | + | 9.24579i | 0.115479 | + | 0.304494i | ||||
\(923\) | 11.9988 | + | 12.9995i | 0.394944 | + | 0.427885i | ||||
\(924\) | −5.95295 | + | 15.6966i | −0.195838 | + | 0.516381i | ||||
\(925\) | −4.41494 | − | 7.64690i | −0.145162 | − | 0.251428i | ||||
\(926\) | 3.34744 | − | 4.09987i | 0.110004 | − | 0.134730i | ||||
\(927\) | 6.82657 | + | 5.12984i | 0.224214 | + | 0.168486i | ||||
\(928\) | −29.0876 | − | 15.2663i | −0.954847 | − | 0.501142i | ||||
\(929\) | −17.3028 | + | 1.39683i | −0.567686 | + | 0.0458284i | −0.360978 | − | 0.932574i | \(-0.617557\pi\) |
−0.206708 | + | 0.978403i | \(0.566275\pi\) | |||||||
\(930\) | 2.68918 | − | 0.217093i | 0.0881816 | − | 0.00711876i | ||||
\(931\) | −41.9106 | − | 21.9964i | −1.37356 | − | 0.720902i | ||||
\(932\) | 13.6121 | + | 10.2288i | 0.445879 | + | 0.335057i | ||||
\(933\) | −0.307022 | + | 0.376033i | −0.0100514 | + | 0.0123108i | ||||
\(934\) | −4.71486 | − | 8.16638i | −0.154275 | − | 0.267212i | ||||
\(935\) | 1.88992 | − | 4.98330i | 0.0618069 | − | 0.162971i | ||||
\(936\) | −5.54238 | − | 3.66097i | −0.181158 | − | 0.119662i | ||||
\(937\) | 7.11946 | + | 18.7725i | 0.232583 | + | 0.613270i | 0.999598 | − | 0.0283589i | \(-0.00902814\pi\) |
−0.767015 | + | 0.641629i | \(0.778259\pi\) | |||||||
\(938\) | −5.50821 | + | 6.74634i | −0.179849 | + | 0.220276i | ||||
\(939\) | 13.2353 | − | 27.8929i | 0.431919 | − | 0.910249i | ||||
\(940\) | −38.7410 | + | 12.9336i | −1.26359 | + | 0.421849i | ||||
\(941\) | 6.52087 | + | 9.44712i | 0.212574 | + | 0.307967i | 0.914737 | − | 0.404049i | \(-0.132398\pi\) |
−0.702163 | + | 0.712016i | \(0.747782\pi\) | |||||||
\(942\) | −0.113996 | − | 0.558390i | −0.00371419 | − | 0.0181933i | ||||
\(943\) | −2.62237 | + | 65.0735i | −0.0853963 | + | 2.11909i | ||||
\(944\) | 30.3155 | 0.986686 | ||||||||
\(945\) | 0.287845 | − | 7.14280i | 0.00936360 | − | 0.232355i | ||||
\(946\) | 6.56141 | − | 4.93058i | 0.213330 | − | 0.160307i | ||||
\(947\) | −7.73135 | + | 1.25647i | −0.251235 | + | 0.0408297i | −0.284724 | − | 0.958609i | \(-0.591902\pi\) |
0.0334894 | + | 0.999439i | \(0.489338\pi\) | |||||||
\(948\) | −0.655979 | + | 0.344284i | −0.0213052 | + | 0.0111818i | ||||
\(949\) | −28.8027 | − | 5.27042i | −0.934976 | − | 0.171085i | ||||
\(950\) | 3.72036 | + | 1.95259i | 0.120704 | + | 0.0633505i | ||||
\(951\) | −11.7208 | − | 3.91299i | −0.380075 | − | 0.126888i | ||||
\(952\) | 1.37389 | − | 6.72975i | 0.0445280 | − | 0.218113i | ||||
\(953\) | 11.8847 | − | 41.0308i | 0.384984 | − | 1.32912i | −0.501018 | − | 0.865437i | \(-0.667041\pi\) |
0.886002 | − | 0.463682i | \(-0.153472\pi\) | |||||||
\(954\) | 0.231547 | + | 1.90696i | 0.00749660 | + | 0.0617401i | ||||
\(955\) | 38.7503 | − | 12.9368i | 1.25393 | − | 0.418624i | ||||
\(956\) | −12.8529 | − | 2.08879i | −0.415691 | − | 0.0675564i | ||||
\(957\) | −15.4031 | + | 8.08416i | −0.497911 | + | 0.261324i | ||||
\(958\) | −8.98613 | + | 5.68249i | −0.290329 | + | 0.183593i | ||||
\(959\) | −54.5960 | + | 23.2612i | −1.76300 | + | 0.751143i | ||||
\(960\) | 1.10428 | − | 5.40913i | 0.0356405 | − | 0.174579i | ||||
\(961\) | 22.5223 | + | 5.55124i | 0.726525 | + | 0.179072i | ||||
\(962\) | 6.24895 | − | 12.5207i | 0.201474 | − | 0.403684i | ||||
\(963\) | 12.1076 | − | 2.98426i | 0.390162 | − | 0.0961664i | ||||
\(964\) | −0.895944 | − | 22.2326i | −0.0288564 | − | 0.716065i | ||||
\(965\) | −1.52767 | − | 37.9087i | −0.0491773 | − | 1.22032i | ||||
\(966\) | −8.17056 | − | 10.0071i | −0.262883 | − | 0.321974i | ||||
\(967\) | −19.4219 | + | 51.2113i | −0.624565 | + | 1.64684i | 0.130699 | + | 0.991422i | \(0.458278\pi\) |
−0.755264 | + | 0.655421i | \(0.772491\pi\) | |||||||
\(968\) | 3.22402 | + | 6.79448i | 0.103624 | + | 0.218383i | ||||
\(969\) | 2.20023 | − | 7.59608i | 0.0706816 | − | 0.244021i | ||||
\(970\) | −2.00216 | + | 2.90063i | −0.0642855 | + | 0.0931336i | ||||
\(971\) | 41.5829 | + | 17.7168i | 1.33446 | + | 0.568560i | 0.937086 | − | 0.349098i | \(-0.113512\pi\) |
0.397372 | + | 0.917657i | \(0.369922\pi\) | |||||||
\(972\) | −1.73714 | + | 0.282313i | −0.0557188 | + | 0.00905518i | ||||
\(973\) | −3.58250 | − | 2.26544i | −0.114850 | − | 0.0726266i | ||||
\(974\) | 6.45926 | + | 9.35786i | 0.206968 | + | 0.299845i | ||||
\(975\) | −1.35027 | − | 3.78562i | −0.0432433 | − | 0.121237i | ||||
\(976\) | −20.5784 | + | 29.8130i | −0.658700 | + | 0.954292i | ||||
\(977\) | −0.429292 | + | 0.182904i | −0.0137343 | + | 0.00585162i | −0.398823 | − | 0.917028i | \(-0.630581\pi\) |
0.385089 | + | 0.922880i | \(0.374171\pi\) | |||||||
\(978\) | −1.71059 | − | 5.90564i | −0.0546986 | − | 0.188841i | ||||
\(979\) | 13.8927 | − | 1.12154i | 0.444013 | − | 0.0358444i | ||||
\(980\) | 15.9765 | − | 14.1540i | 0.510352 | − | 0.452132i | ||||
\(981\) | 11.6512 | − | 7.36779i | 0.371995 | − | 0.235236i | ||||
\(982\) | −1.39863 | − | 0.595900i | −0.0446320 | − | 0.0190159i | ||||
\(983\) | 1.62114 | − | 13.3513i | 0.0517063 | − | 0.425839i | −0.943753 | − | 0.330651i | \(-0.892732\pi\) |
0.995459 | − | 0.0951882i | \(-0.0303453\pi\) | |||||||
\(984\) | −3.30098 | − | 16.1693i | −0.105231 | − | 0.515458i | ||||
\(985\) | −43.7097 | − | 3.52861i | −1.39271 | − | 0.112431i | ||||
\(986\) | 2.66331 | − | 2.00135i | 0.0848171 | − | 0.0637359i | ||||
\(987\) | −5.14684 | + | 42.3880i | −0.163826 | + | 1.34923i | ||||
\(988\) | −4.91973 | − | 48.5655i | −0.156517 | − | 1.54507i | ||||
\(989\) | −5.58119 | − | 45.9652i | −0.177471 | − | 1.46161i | ||||
\(990\) | 1.75963 | + | 1.83197i | 0.0559248 | + | 0.0582239i | ||||
\(991\) | 8.32741 | + | 14.4235i | 0.264529 | + | 0.458177i | 0.967440 | − | 0.253100i | \(-0.0814503\pi\) |
−0.702911 | + | 0.711278i | \(0.748117\pi\) | |||||||
\(992\) | 6.93748 | − | 12.0161i | 0.220265 | − | 0.381511i | ||||
\(993\) | 19.6632 | − | 4.84654i | 0.623992 | − | 0.153800i | ||||
\(994\) | −5.51410 | − | 6.75354i | −0.174897 | − | 0.214209i | ||||
\(995\) | −14.2982 | + | 24.7653i | −0.453285 | + | 0.785112i | ||||
\(996\) | 3.67612 | + | 9.69314i | 0.116482 | + | 0.307139i | ||||
\(997\) | −0.362524 | + | 0.377428i | −0.0114813 | + | 0.0119532i | −0.726918 | − | 0.686724i | \(-0.759048\pi\) |
0.715437 | + | 0.698677i | \(0.246228\pi\) | |||||||
\(998\) | 13.2191 | + | 4.41319i | 0.418443 | + | 0.139697i | ||||
\(999\) | −2.20378 | − | 7.60834i | −0.0697246 | − | 0.240717i |
(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 | 507.2.q.b.16.8 | ✓ | 384 | |
169.74 | even | 39 | inner | 507.2.q.b.412.8 | yes | 384 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
507.2.q.b.16.8 | ✓ | 384 | 1.1 | even | 1 | trivial | |
507.2.q.b.412.8 | yes | 384 | 169.74 | even | 39 | inner |