Properties

Label 300.2.n.a.71.42
Level $300$
Weight $2$
Character 300.71
Analytic conductor $2.396$
Analytic rank $0$
Dimension $224$
CM no
Inner twists $8$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [300,2,Mod(11,300)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(300, base_ring=CyclotomicField(10))
 
chi = DirichletCharacter(H, H._module([5, 5, 8]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("300.11");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 300.n (of order \(10\), 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: \(2.39551206064\)
Analytic rank: \(0\)
Dimension: \(224\)
Relative dimension: \(56\) over \(\Q(\zeta_{10})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label 71.42
Character \(\chi\) \(=\) 300.71
Dual form 300.2.n.a.131.42

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.936272 + 1.05990i) q^{2} +(1.02789 - 1.39408i) q^{3} +(-0.246789 + 1.98472i) q^{4} +(1.49656 - 1.66142i) q^{5} +(2.43997 - 0.215777i) q^{6} +4.44836i q^{7} +(-2.33467 + 1.59666i) q^{8} +(-0.886903 - 2.86590i) q^{9} +O(q^{10})\) \(q+(0.936272 + 1.05990i) q^{2} +(1.02789 - 1.39408i) q^{3} +(-0.246789 + 1.98472i) q^{4} +(1.49656 - 1.66142i) q^{5} +(2.43997 - 0.215777i) q^{6} +4.44836i q^{7} +(-2.33467 + 1.59666i) q^{8} +(-0.886903 - 2.86590i) q^{9} +(3.16213 + 0.0306693i) q^{10} +(1.38440 - 4.26075i) q^{11} +(2.51318 + 2.38410i) q^{12} +(1.09944 + 3.38374i) q^{13} +(-4.71483 + 4.16487i) q^{14} +(-0.777853 - 3.79407i) q^{15} +(-3.87819 - 0.979612i) q^{16} +(-0.229964 - 0.316518i) q^{17} +(2.20720 - 3.62330i) q^{18} +(-1.18868 - 1.63607i) q^{19} +(2.92811 + 3.38027i) q^{20} +(6.20135 + 4.57240i) q^{21} +(5.81216 - 2.52189i) q^{22} +(0.927671 - 2.85508i) q^{23} +(-0.173902 + 4.89589i) q^{24} +(-0.520618 - 4.97282i) q^{25} +(-2.55706 + 4.33340i) q^{26} +(-4.90693 - 1.70941i) q^{27} +(-8.82872 - 1.09781i) q^{28} +(-4.65476 + 6.40673i) q^{29} +(3.29306 - 4.37673i) q^{30} +(-0.713204 - 0.981641i) q^{31} +(-2.59275 - 5.02769i) q^{32} +(-4.51681 - 6.30953i) q^{33} +(0.120170 - 0.540087i) q^{34} +(7.39058 + 6.65723i) q^{35} +(5.90688 - 1.05298i) q^{36} +(-0.145467 - 0.447702i) q^{37} +(0.621154 - 2.79169i) q^{38} +(5.84730 + 1.94539i) q^{39} +(-0.841249 + 6.26836i) q^{40} +(-7.88511 + 2.56203i) q^{41} +(0.959852 + 10.8538i) q^{42} +5.44861i q^{43} +(8.11472 + 3.79915i) q^{44} +(-6.08877 - 2.81548i) q^{45} +(3.89466 - 1.68989i) q^{46} +(-5.11114 - 3.71346i) q^{47} +(-5.35199 + 4.39957i) q^{48} -12.7879 q^{49} +(4.78327 - 5.20772i) q^{50} +(-0.677627 - 0.00475698i) q^{51} +(-6.98709 + 1.34701i) q^{52} +(1.31817 - 1.81430i) q^{53} +(-2.78241 - 6.80134i) q^{54} +(-5.00705 - 8.67654i) q^{55} +(-7.10252 - 10.3854i) q^{56} +(-3.50263 - 0.0245887i) q^{57} +(-11.1486 + 1.06485i) q^{58} +(-0.692164 - 2.13026i) q^{59} +(7.72211 - 0.607481i) q^{60} +(-1.80354 + 5.55073i) q^{61} +(0.372691 - 1.67501i) q^{62} +(12.7486 - 3.94526i) q^{63} +(2.90135 - 7.45535i) q^{64} +(7.26719 + 3.23733i) q^{65} +(2.45852 - 10.6948i) q^{66} +(4.83312 + 6.65222i) q^{67} +(0.684951 - 0.378300i) q^{68} +(-3.02666 - 4.22794i) q^{69} +(-0.136428 + 14.0663i) q^{70} +(-1.00092 - 0.727211i) q^{71} +(6.64650 + 5.27485i) q^{72} +(4.53913 - 13.9700i) q^{73} +(0.338324 - 0.573351i) q^{74} +(-7.46763 - 4.38571i) q^{75} +(3.54049 - 1.95542i) q^{76} +(18.9533 + 6.15832i) q^{77} +(3.41274 + 8.01898i) q^{78} +(5.87041 - 8.07993i) q^{79} +(-7.43149 + 4.97725i) q^{80} +(-7.42681 + 5.08356i) q^{81} +(-10.0981 - 5.95870i) q^{82} +(4.74358 - 3.44641i) q^{83} +(-10.6053 + 11.1795i) q^{84} +(-0.870024 - 0.0916222i) q^{85} +(-5.77500 + 5.10138i) q^{86} +(4.14692 + 13.0745i) q^{87} +(3.57086 + 12.1579i) q^{88} +(13.5301 + 4.39618i) q^{89} +(-2.71661 - 9.08956i) q^{90} +(-15.0521 + 4.89072i) q^{91} +(5.43758 + 2.54577i) q^{92} +(-2.10158 - 0.0147532i) q^{93} +(-0.849510 - 8.89413i) q^{94} +(-4.49712 - 0.473592i) q^{95} +(-9.67403 - 1.55340i) q^{96} +(9.45285 + 6.86790i) q^{97} +(-11.9729 - 13.5539i) q^{98} +(-13.4387 - 0.188690i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 224 q - 6 q^{4} + q^{6} - 6 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 224 q - 6 q^{4} + q^{6} - 6 q^{9} - 8 q^{10} - 9 q^{12} - 12 q^{13} - 18 q^{16} - 26 q^{18} + 12 q^{21} - 6 q^{22} - 16 q^{24} - 12 q^{25} + 2 q^{28} - 13 q^{30} + 6 q^{33} - 30 q^{34} + 35 q^{36} + 12 q^{37} - 24 q^{40} - 13 q^{42} - 6 q^{45} - 18 q^{46} - 34 q^{48} - 168 q^{49} - 28 q^{52} - 38 q^{54} - 44 q^{57} - 34 q^{58} - 76 q^{60} + 4 q^{61} + 18 q^{64} - 46 q^{66} - 18 q^{69} + 72 q^{70} - 29 q^{72} - 20 q^{73} + 16 q^{76} + 5 q^{78} - 30 q^{81} - 20 q^{82} - 18 q^{84} - 76 q^{85} + 6 q^{88} + 2 q^{90} - 52 q^{93} + 96 q^{94} - 50 q^{96} - 72 q^{97}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(151\) \(277\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{3}{5}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.936272 + 1.05990i 0.662044 + 0.749465i
\(3\) 1.02789 1.39408i 0.593450 0.804871i
\(4\) −0.246789 + 1.98472i −0.123395 + 0.992358i
\(5\) 1.49656 1.66142i 0.669282 0.743009i
\(6\) 2.43997 0.215777i 0.996112 0.0880904i
\(7\) 4.44836i 1.68132i 0.541562 + 0.840661i \(0.317833\pi\)
−0.541562 + 0.840661i \(0.682167\pi\)
\(8\) −2.33467 + 1.59666i −0.825430 + 0.564505i
\(9\) −0.886903 2.86590i −0.295634 0.955301i
\(10\) 3.16213 + 0.0306693i 0.999953 + 0.00969848i
\(11\) 1.38440 4.26075i 0.417413 1.28466i −0.492662 0.870221i \(-0.663976\pi\)
0.910075 0.414444i \(-0.136024\pi\)
\(12\) 2.51318 + 2.38410i 0.725491 + 0.688231i
\(13\) 1.09944 + 3.38374i 0.304931 + 0.938481i 0.979703 + 0.200454i \(0.0642419\pi\)
−0.674772 + 0.738026i \(0.735758\pi\)
\(14\) −4.71483 + 4.16487i −1.26009 + 1.11311i
\(15\) −0.777853 3.79407i −0.200841 0.979624i
\(16\) −3.87819 0.979612i −0.969548 0.244903i
\(17\) −0.229964 0.316518i −0.0557744 0.0767669i 0.780219 0.625507i \(-0.215108\pi\)
−0.835993 + 0.548740i \(0.815108\pi\)
\(18\) 2.20720 3.62330i 0.520241 0.854019i
\(19\) −1.18868 1.63607i −0.272701 0.375341i 0.650598 0.759422i \(-0.274518\pi\)
−0.923299 + 0.384081i \(0.874518\pi\)
\(20\) 2.92811 + 3.38027i 0.654745 + 0.755850i
\(21\) 6.20135 + 4.57240i 1.35325 + 0.997780i
\(22\) 5.81216 2.52189i 1.23916 0.537669i
\(23\) 0.927671 2.85508i 0.193433 0.595325i −0.806559 0.591154i \(-0.798672\pi\)
0.999991 0.00417066i \(-0.00132757\pi\)
\(24\) −0.173902 + 4.89589i −0.0354976 + 0.999370i
\(25\) −0.520618 4.97282i −0.104124 0.994564i
\(26\) −2.55706 + 4.33340i −0.501480 + 0.849851i
\(27\) −4.90693 1.70941i −0.944338 0.328976i
\(28\) −8.82872 1.09781i −1.66847 0.207466i
\(29\) −4.65476 + 6.40673i −0.864368 + 1.18970i 0.116142 + 0.993233i \(0.462947\pi\)
−0.980510 + 0.196468i \(0.937053\pi\)
\(30\) 3.29306 4.37673i 0.601228 0.799077i
\(31\) −0.713204 0.981641i −0.128095 0.176308i 0.740152 0.672439i \(-0.234753\pi\)
−0.868247 + 0.496131i \(0.834753\pi\)
\(32\) −2.59275 5.02769i −0.458337 0.888778i
\(33\) −4.51681 6.30953i −0.786276 1.09835i
\(34\) 0.120170 0.540087i 0.0206090 0.0926241i
\(35\) 7.39058 + 6.65723i 1.24924 + 1.12528i
\(36\) 5.90688 1.05298i 0.984480 0.175496i
\(37\) −0.145467 0.447702i −0.0239146 0.0736017i 0.938387 0.345586i \(-0.112320\pi\)
−0.962302 + 0.271985i \(0.912320\pi\)
\(38\) 0.621154 2.79169i 0.100764 0.452872i
\(39\) 5.84730 + 1.94539i 0.936317 + 0.311511i
\(40\) −0.841249 + 6.26836i −0.133013 + 0.991114i
\(41\) −7.88511 + 2.56203i −1.23145 + 0.400121i −0.851238 0.524779i \(-0.824148\pi\)
−0.380209 + 0.924901i \(0.624148\pi\)
\(42\) 0.959852 + 10.8538i 0.148108 + 1.67479i
\(43\) 5.44861i 0.830905i 0.909615 + 0.415453i \(0.136377\pi\)
−0.909615 + 0.415453i \(0.863623\pi\)
\(44\) 8.11472 + 3.79915i 1.22334 + 0.572744i
\(45\) −6.08877 2.81548i −0.907660 0.419707i
\(46\) 3.89466 1.68989i 0.574236 0.249160i
\(47\) −5.11114 3.71346i −0.745537 0.541664i 0.148903 0.988852i \(-0.452426\pi\)
−0.894440 + 0.447187i \(0.852426\pi\)
\(48\) −5.35199 + 4.39957i −0.772493 + 0.635023i
\(49\) −12.7879 −1.82684
\(50\) 4.78327 5.20772i 0.676456 0.736483i
\(51\) −0.677627 0.00475698i −0.0948868 0.000666110i
\(52\) −6.98709 + 1.34701i −0.968935 + 0.186797i
\(53\) 1.31817 1.81430i 0.181064 0.249214i −0.708831 0.705378i \(-0.750777\pi\)
0.889895 + 0.456165i \(0.150777\pi\)
\(54\) −2.78241 6.80134i −0.378638 0.925545i
\(55\) −5.00705 8.67654i −0.675150 1.16994i
\(56\) −7.10252 10.3854i −0.949114 1.38781i
\(57\) −3.50263 0.0245887i −0.463935 0.00325685i
\(58\) −11.1486 + 1.06485i −1.46389 + 0.139821i
\(59\) −0.692164 2.13026i −0.0901121 0.277337i 0.895837 0.444383i \(-0.146577\pi\)
−0.985949 + 0.167046i \(0.946577\pi\)
\(60\) 7.72211 0.607481i 0.996920 0.0784255i
\(61\) −1.80354 + 5.55073i −0.230920 + 0.710698i 0.766717 + 0.641985i \(0.221889\pi\)
−0.997637 + 0.0687122i \(0.978111\pi\)
\(62\) 0.372691 1.67501i 0.0473319 0.212727i
\(63\) 12.7486 3.94526i 1.60617 0.497056i
\(64\) 2.90135 7.45535i 0.362668 0.931918i
\(65\) 7.26719 + 3.23733i 0.901384 + 0.401542i
\(66\) 2.45852 10.6948i 0.302623 1.31644i
\(67\) 4.83312 + 6.65222i 0.590459 + 0.812698i 0.994793 0.101914i \(-0.0324966\pi\)
−0.404334 + 0.914611i \(0.632497\pi\)
\(68\) 0.684951 0.378300i 0.0830625 0.0458756i
\(69\) −3.02666 4.22794i −0.364367 0.508984i
\(70\) −0.136428 + 14.0663i −0.0163063 + 1.68124i
\(71\) −1.00092 0.727211i −0.118787 0.0863040i 0.526805 0.849986i \(-0.323390\pi\)
−0.645593 + 0.763682i \(0.723390\pi\)
\(72\) 6.64650 + 5.27485i 0.783298 + 0.621647i
\(73\) 4.53913 13.9700i 0.531265 1.63507i −0.220318 0.975428i \(-0.570709\pi\)
0.751583 0.659638i \(-0.229291\pi\)
\(74\) 0.338324 0.573351i 0.0393293 0.0666507i
\(75\) −7.46763 4.38571i −0.862288 0.506418i
\(76\) 3.54049 1.95542i 0.406122 0.224302i
\(77\) 18.9533 + 6.15832i 2.15993 + 0.701805i
\(78\) 3.41274 + 8.01898i 0.386417 + 0.907971i
\(79\) 5.87041 8.07993i 0.660473 0.909063i −0.339024 0.940778i \(-0.610097\pi\)
0.999497 + 0.0317146i \(0.0100967\pi\)
\(80\) −7.43149 + 4.97725i −0.830866 + 0.556473i
\(81\) −7.42681 + 5.08356i −0.825201 + 0.564840i
\(82\) −10.0981 5.95870i −1.11515 0.658028i
\(83\) 4.74358 3.44641i 0.520675 0.378293i −0.296183 0.955131i \(-0.595714\pi\)
0.816858 + 0.576839i \(0.195714\pi\)
\(84\) −10.6053 + 11.1795i −1.15714 + 1.21978i
\(85\) −0.870024 0.0916222i −0.0943673 0.00993783i
\(86\) −5.77500 + 5.10138i −0.622734 + 0.550096i
\(87\) 4.14692 + 13.0745i 0.444596 + 1.40173i
\(88\) 3.57086 + 12.1579i 0.380655 + 1.29603i
\(89\) 13.5301 + 4.39618i 1.43418 + 0.465994i 0.920079 0.391734i \(-0.128125\pi\)
0.514104 + 0.857728i \(0.328125\pi\)
\(90\) −2.71661 9.08956i −0.286355 0.958123i
\(91\) −15.0521 + 4.89072i −1.57789 + 0.512687i
\(92\) 5.43758 + 2.54577i 0.566907 + 0.265414i
\(93\) −2.10158 0.0147532i −0.217923 0.00152983i
\(94\) −0.849510 8.89413i −0.0876203 0.917360i
\(95\) −4.49712 0.473592i −0.461395 0.0485896i
\(96\) −9.67403 1.55340i −0.987352 0.158543i
\(97\) 9.45285 + 6.86790i 0.959792 + 0.697329i 0.953102 0.302648i \(-0.0978707\pi\)
0.00668928 + 0.999978i \(0.497871\pi\)
\(98\) −11.9729 13.5539i −1.20945 1.36915i
\(99\) −13.4387 0.188690i −1.35064 0.0189641i
\(100\) 9.99812 + 0.193960i 0.999812 + 0.0193960i
\(101\) 6.69608i 0.666285i −0.942876 0.333143i \(-0.891891\pi\)
0.942876 0.333143i \(-0.108109\pi\)
\(102\) −0.629402 0.722673i −0.0623201 0.0715553i
\(103\) −3.72898 + 5.13250i −0.367427 + 0.505720i −0.952199 0.305477i \(-0.901184\pi\)
0.584772 + 0.811198i \(0.301184\pi\)
\(104\) −7.96952 6.14447i −0.781476 0.602515i
\(105\) 16.8774 3.46017i 1.64706 0.337678i
\(106\) 3.15715 0.301550i 0.306649 0.0292892i
\(107\) 6.38914 0.617661 0.308831 0.951117i \(-0.400062\pi\)
0.308831 + 0.951117i \(0.400062\pi\)
\(108\) 4.60367 9.31699i 0.442988 0.896527i
\(109\) 0.451526 + 1.38966i 0.0432484 + 0.133105i 0.970349 0.241707i \(-0.0777073\pi\)
−0.927101 + 0.374812i \(0.877707\pi\)
\(110\) 4.50833 13.4306i 0.429853 1.28056i
\(111\) −0.773654 0.257394i −0.0734320 0.0244307i
\(112\) 4.35767 17.2516i 0.411761 1.63012i
\(113\) −6.13733 + 1.99414i −0.577352 + 0.187593i −0.583114 0.812390i \(-0.698166\pi\)
0.00576212 + 0.999983i \(0.498166\pi\)
\(114\) −3.25336 3.73547i −0.304705 0.349859i
\(115\) −3.35516 5.81404i −0.312870 0.542162i
\(116\) −11.5668 10.8195i −1.07395 1.00456i
\(117\) 8.72237 6.15195i 0.806384 0.568748i
\(118\) 1.60982 2.72813i 0.148196 0.251145i
\(119\) 1.40799 1.02296i 0.129070 0.0937748i
\(120\) 7.87387 + 7.61592i 0.718782 + 0.695235i
\(121\) −7.33824 5.33155i −0.667113 0.484686i
\(122\) −7.57184 + 3.28541i −0.685522 + 0.297447i
\(123\) −4.53333 + 13.6259i −0.408756 + 1.22861i
\(124\) 2.12429 1.17325i 0.190767 0.105361i
\(125\) −9.04107 6.57716i −0.808658 0.588279i
\(126\) 16.1177 + 9.81841i 1.43588 + 0.874693i
\(127\) 7.42220 + 2.41162i 0.658614 + 0.213997i 0.619208 0.785227i \(-0.287454\pi\)
0.0394056 + 0.999223i \(0.487454\pi\)
\(128\) 10.6184 3.90509i 0.938542 0.345164i
\(129\) 7.59579 + 5.60055i 0.668772 + 0.493101i
\(130\) 3.37281 + 10.7335i 0.295815 + 0.941394i
\(131\) −9.44141 + 6.85959i −0.824900 + 0.599325i −0.918112 0.396322i \(-0.870287\pi\)
0.0932120 + 0.995646i \(0.470287\pi\)
\(132\) 13.6373 7.40746i 1.18698 0.644736i
\(133\) 7.27783 5.28766i 0.631068 0.458498i
\(134\) −2.52559 + 11.3509i −0.218178 + 0.980570i
\(135\) −10.1836 + 5.59422i −0.876461 + 0.481474i
\(136\) 1.04226 + 0.371790i 0.0893732 + 0.0318808i
\(137\) −18.6455 + 6.05827i −1.59299 + 0.517593i −0.965360 0.260920i \(-0.915974\pi\)
−0.627628 + 0.778513i \(0.715974\pi\)
\(138\) 1.64743 7.16647i 0.140238 0.610050i
\(139\) 10.8688 + 3.53149i 0.921880 + 0.299537i 0.731238 0.682123i \(-0.238943\pi\)
0.190642 + 0.981660i \(0.438943\pi\)
\(140\) −15.0366 + 13.0253i −1.27083 + 1.10084i
\(141\) −10.4305 + 3.30831i −0.878409 + 0.278610i
\(142\) −0.166360 1.74174i −0.0139606 0.146164i
\(143\) 15.9393 1.33291
\(144\) 0.632103 + 11.9833i 0.0526753 + 0.998612i
\(145\) 3.67813 + 17.3216i 0.305452 + 1.43848i
\(146\) 19.0567 8.26869i 1.57715 0.684322i
\(147\) −13.1445 + 17.8273i −1.08414 + 1.47037i
\(148\) 0.924460 0.178223i 0.0759901 0.0146498i
\(149\) 6.42585i 0.526426i 0.964738 + 0.263213i \(0.0847823\pi\)
−0.964738 + 0.263213i \(0.915218\pi\)
\(150\) −2.34331 12.0212i −0.191330 0.981526i
\(151\) 1.05274i 0.0856707i 0.999082 + 0.0428354i \(0.0136391\pi\)
−0.999082 + 0.0428354i \(0.986361\pi\)
\(152\) 5.38742 + 1.92177i 0.436977 + 0.155876i
\(153\) −0.703155 + 0.939775i −0.0568467 + 0.0759763i
\(154\) 11.2183 + 25.8546i 0.903994 + 2.08342i
\(155\) −2.69827 0.284155i −0.216730 0.0228239i
\(156\) −5.30409 + 11.1251i −0.424667 + 0.890722i
\(157\) 5.30828 0.423647 0.211823 0.977308i \(-0.432060\pi\)
0.211823 + 0.977308i \(0.432060\pi\)
\(158\) 14.0602 1.34294i 1.11857 0.106839i
\(159\) −1.17435 3.70252i −0.0931322 0.293629i
\(160\) −12.2333 3.21660i −0.967127 0.254295i
\(161\) 12.7004 + 4.12661i 1.00093 + 0.325223i
\(162\) −12.3416 3.11210i −0.969647 0.244510i
\(163\) 3.63364 1.18064i 0.284609 0.0924749i −0.163234 0.986587i \(-0.552193\pi\)
0.447842 + 0.894112i \(0.352193\pi\)
\(164\) −3.13894 16.2820i −0.245110 1.27141i
\(165\) −17.2424 1.93828i −1.34232 0.150895i
\(166\) 8.09414 + 1.80095i 0.628227 + 0.139781i
\(167\) −9.33350 + 6.78118i −0.722248 + 0.524744i −0.887102 0.461574i \(-0.847285\pi\)
0.164854 + 0.986318i \(0.447285\pi\)
\(168\) −21.7787 0.773579i −1.68026 0.0596829i
\(169\) 0.276303 0.200746i 0.0212541 0.0154420i
\(170\) −0.717468 1.00792i −0.0550273 0.0773043i
\(171\) −3.63458 + 4.85767i −0.277944 + 0.371475i
\(172\) −10.8139 1.34466i −0.824555 0.102529i
\(173\) 20.8699 + 6.78105i 1.58671 + 0.515553i 0.963774 0.266719i \(-0.0859396\pi\)
0.622936 + 0.782273i \(0.285940\pi\)
\(174\) −9.97505 + 16.6366i −0.756206 + 1.26122i
\(175\) 22.1209 2.31589i 1.67218 0.175065i
\(176\) −9.54286 + 15.1678i −0.719320 + 1.14332i
\(177\) −3.68122 1.22474i −0.276697 0.0920568i
\(178\) 8.00829 + 18.4566i 0.600246 + 1.38338i
\(179\) 16.8993 + 12.2781i 1.26312 + 0.917707i 0.998906 0.0467581i \(-0.0148890\pi\)
0.264209 + 0.964465i \(0.414889\pi\)
\(180\) 7.09057 11.3896i 0.528500 0.848933i
\(181\) 4.13556 3.00466i 0.307394 0.223335i −0.423384 0.905951i \(-0.639158\pi\)
0.730777 + 0.682616i \(0.239158\pi\)
\(182\) −19.2765 11.3747i −1.42887 0.843149i
\(183\) 5.88431 + 8.21978i 0.434981 + 0.607624i
\(184\) 2.39279 + 8.14684i 0.176399 + 0.600593i
\(185\) −0.961519 0.428331i −0.0706923 0.0314915i
\(186\) −1.95201 2.24128i −0.143128 0.164339i
\(187\) −1.66697 + 0.541631i −0.121901 + 0.0396080i
\(188\) 8.63154 9.22773i 0.629520 0.673001i
\(189\) 7.60407 21.8278i 0.553114 1.58774i
\(190\) −3.70857 5.20993i −0.269048 0.377968i
\(191\) 4.84899 + 14.9237i 0.350861 + 1.07984i 0.958371 + 0.285526i \(0.0921684\pi\)
−0.607510 + 0.794312i \(0.707832\pi\)
\(192\) −7.41108 11.7079i −0.534848 0.844948i
\(193\) 4.49363 0.323458 0.161729 0.986835i \(-0.448293\pi\)
0.161729 + 0.986835i \(0.448293\pi\)
\(194\) 1.57113 + 16.4493i 0.112801 + 1.18099i
\(195\) 11.9829 6.80341i 0.858115 0.487203i
\(196\) 3.15591 25.3803i 0.225422 1.81288i
\(197\) 7.11400 9.79158i 0.506851 0.697621i −0.476533 0.879157i \(-0.658107\pi\)
0.983384 + 0.181536i \(0.0581068\pi\)
\(198\) −12.3823 14.4204i −0.879973 1.02481i
\(199\) 20.3372i 1.44166i −0.693111 0.720831i \(-0.743760\pi\)
0.693111 0.720831i \(-0.256240\pi\)
\(200\) 9.15538 + 10.7786i 0.647383 + 0.762165i
\(201\) 14.2416 + 0.0999767i 1.00452 + 0.00705181i
\(202\) 7.09720 6.26935i 0.499357 0.441110i
\(203\) −28.4994 20.7061i −2.00027 1.45328i
\(204\) 0.176672 1.34372i 0.0123695 0.0940795i
\(205\) −7.54394 + 16.9347i −0.526892 + 1.18277i
\(206\) −8.93129 + 0.853060i −0.622273 + 0.0594355i
\(207\) −9.00513 0.126439i −0.625900 0.00878813i
\(208\) −0.949099 14.1998i −0.0658081 0.984580i
\(209\) −8.61650 + 2.79967i −0.596016 + 0.193657i
\(210\) 19.4693 + 14.6487i 1.34351 + 1.01086i
\(211\) −19.5571 6.35448i −1.34637 0.437461i −0.454897 0.890544i \(-0.650324\pi\)
−0.891468 + 0.453083i \(0.850324\pi\)
\(212\) 3.27556 + 3.06394i 0.224967 + 0.210432i
\(213\) −2.04262 + 0.647870i −0.139958 + 0.0443913i
\(214\) 5.98197 + 6.77187i 0.408919 + 0.462915i
\(215\) 9.05242 + 8.15417i 0.617370 + 0.556110i
\(216\) 14.1854 3.84379i 0.965193 0.261537i
\(217\) 4.36669 3.17259i 0.296430 0.215369i
\(218\) −1.05015 + 1.77967i −0.0711250 + 0.120534i
\(219\) −14.8096 20.6875i −1.00074 1.39793i
\(220\) 18.4561 7.79629i 1.24431 0.525626i
\(221\) 0.818183 1.12613i 0.0550369 0.0757518i
\(222\) −0.451538 1.06099i −0.0303053 0.0712089i
\(223\) 15.7150 + 5.10611i 1.05235 + 0.341930i 0.783591 0.621277i \(-0.213386\pi\)
0.268761 + 0.963207i \(0.413386\pi\)
\(224\) 22.3650 11.5335i 1.49432 0.770612i
\(225\) −13.7899 + 5.90245i −0.919326 + 0.393497i
\(226\) −7.85981 4.63792i −0.522827 0.308510i
\(227\) 0.928387 2.85728i 0.0616192 0.189645i −0.915508 0.402300i \(-0.868211\pi\)
0.977127 + 0.212655i \(0.0682110\pi\)
\(228\) 0.913213 6.94566i 0.0604790 0.459988i
\(229\) 3.25202 + 2.36273i 0.214900 + 0.156134i 0.690028 0.723783i \(-0.257598\pi\)
−0.475128 + 0.879917i \(0.657598\pi\)
\(230\) 3.02098 8.99967i 0.199197 0.593421i
\(231\) 28.0670 20.0924i 1.84668 1.32198i
\(232\) 0.637946 22.3897i 0.0418832 1.46995i
\(233\) −5.51252 7.58733i −0.361137 0.497063i 0.589328 0.807894i \(-0.299393\pi\)
−0.950465 + 0.310831i \(0.899393\pi\)
\(234\) 14.6870 + 3.48497i 0.960118 + 0.227820i
\(235\) −13.8187 + 2.93433i −0.901436 + 0.191414i
\(236\) 4.39878 0.848023i 0.286336 0.0552016i
\(237\) −5.22993 16.4891i −0.339721 1.07108i
\(238\) 2.40250 + 0.534558i 0.155731 + 0.0346503i
\(239\) −0.479017 + 1.47426i −0.0309850 + 0.0953621i −0.965353 0.260947i \(-0.915965\pi\)
0.934368 + 0.356309i \(0.115965\pi\)
\(240\) −0.700055 + 15.4761i −0.0451883 + 0.998978i
\(241\) 0.380229 + 1.17023i 0.0244927 + 0.0753808i 0.962556 0.271084i \(-0.0873821\pi\)
−0.938063 + 0.346465i \(0.887382\pi\)
\(242\) −1.21967 12.7696i −0.0784034 0.820861i
\(243\) −0.547037 + 15.5789i −0.0350925 + 0.999384i
\(244\) −10.5715 4.94937i −0.676772 0.316851i
\(245\) −19.1378 + 21.2460i −1.22267 + 1.35736i
\(246\) −18.6866 + 7.95269i −1.19141 + 0.507045i
\(247\) 4.22916 5.82094i 0.269095 0.370378i
\(248\) 3.23244 + 1.15306i 0.205260 + 0.0732194i
\(249\) 0.0712916 10.1554i 0.00451792 0.643574i
\(250\) −1.49375 15.7407i −0.0944729 0.995527i
\(251\) −20.1812 −1.27382 −0.636912 0.770937i \(-0.719788\pi\)
−0.636912 + 0.770937i \(0.719788\pi\)
\(252\) 4.68401 + 26.2759i 0.295065 + 1.65523i
\(253\) −10.8805 7.90515i −0.684052 0.496993i
\(254\) 4.39312 + 10.1247i 0.275649 + 0.635283i
\(255\) −1.02201 + 1.11870i −0.0640010 + 0.0700559i
\(256\) 14.0807 + 7.59825i 0.880045 + 0.474890i
\(257\) 26.8707i 1.67615i −0.545558 0.838073i \(-0.683682\pi\)
0.545558 0.838073i \(-0.316318\pi\)
\(258\) 1.17568 + 13.2944i 0.0731948 + 0.827675i
\(259\) 1.99154 0.647089i 0.123748 0.0402082i
\(260\) −8.21865 + 13.6244i −0.509699 + 0.844947i
\(261\) 22.4894 + 7.65796i 1.39206 + 0.474016i
\(262\) −16.1102 3.58454i −0.995293 0.221454i
\(263\) 7.19187 + 22.1343i 0.443470 + 1.36486i 0.884153 + 0.467197i \(0.154736\pi\)
−0.440684 + 0.897662i \(0.645264\pi\)
\(264\) 20.6194 + 7.51884i 1.26904 + 0.462752i
\(265\) −1.04160 4.90524i −0.0639848 0.301326i
\(266\) 12.4184 + 2.76311i 0.761423 + 0.169417i
\(267\) 20.0360 14.3432i 1.22618 0.877788i
\(268\) −14.3955 + 7.95067i −0.879346 + 0.485664i
\(269\) −14.3549 19.7578i −0.875233 1.20465i −0.977719 0.209920i \(-0.932680\pi\)
0.102486 0.994734i \(-0.467320\pi\)
\(270\) −15.4639 5.55587i −0.941103 0.338119i
\(271\) −6.36896 + 8.76613i −0.386887 + 0.532504i −0.957393 0.288789i \(-0.906747\pi\)
0.570506 + 0.821294i \(0.306747\pi\)
\(272\) 0.581779 + 1.45279i 0.0352755 + 0.0880885i
\(273\) −8.65378 + 26.0109i −0.523751 + 1.57425i
\(274\) −23.8784 14.0902i −1.44255 0.851219i
\(275\) −21.9087 4.66616i −1.32114 0.281380i
\(276\) 9.13820 4.96365i 0.550055 0.298777i
\(277\) −8.74527 + 26.9152i −0.525452 + 1.61718i 0.237967 + 0.971273i \(0.423519\pi\)
−0.763420 + 0.645903i \(0.776481\pi\)
\(278\) 6.43312 + 14.8263i 0.385833 + 0.889223i
\(279\) −2.18075 + 2.91459i −0.130558 + 0.174492i
\(280\) −27.8839 3.74218i −1.66638 0.223638i
\(281\) −1.34596 1.85256i −0.0802933 0.110514i 0.766981 0.641670i \(-0.221758\pi\)
−0.847274 + 0.531155i \(0.821758\pi\)
\(282\) −13.2723 7.95787i −0.790354 0.473884i
\(283\) −4.87581 6.71097i −0.289837 0.398926i 0.639124 0.769103i \(-0.279297\pi\)
−0.928961 + 0.370177i \(0.879297\pi\)
\(284\) 1.69032 1.80707i 0.100302 0.107230i
\(285\) −5.28275 + 5.78254i −0.312923 + 0.342528i
\(286\) 14.9236 + 16.8942i 0.882449 + 0.998973i
\(287\) −11.3968 35.0758i −0.672733 2.07046i
\(288\) −12.1094 + 11.8896i −0.713551 + 0.700603i
\(289\) 5.20599 16.0224i 0.306235 0.942493i
\(290\) −14.9155 + 20.1162i −0.875866 + 1.18126i
\(291\) 19.2908 6.11859i 1.13085 0.358678i
\(292\) 26.6063 + 12.4565i 1.55702 + 0.728964i
\(293\) 0.643074i 0.0375688i 0.999824 + 0.0187844i \(0.00597961\pi\)
−0.999824 + 0.0187844i \(0.994020\pi\)
\(294\) −31.2020 + 2.75933i −1.81974 + 0.160927i
\(295\) −4.57512 2.03809i −0.266374 0.118662i
\(296\) 1.05444 + 0.812973i 0.0612884 + 0.0472531i
\(297\) −14.0765 + 18.5407i −0.816803 + 1.07584i
\(298\) −6.81078 + 6.01635i −0.394538 + 0.348518i
\(299\) 10.6808 0.617684
\(300\) 10.5473 13.7388i 0.608950 0.793209i
\(301\) −24.2374 −1.39702
\(302\) −1.11580 + 0.985651i −0.0642072 + 0.0567178i
\(303\) −9.33486 6.88281i −0.536273 0.395407i
\(304\) 3.00720 + 7.50944i 0.172474 + 0.430696i
\(305\) 6.52297 + 11.3034i 0.373504 + 0.647232i
\(306\) −1.65442 + 0.134609i −0.0945766 + 0.00769510i
\(307\) 13.7770i 0.786297i −0.919475 0.393149i \(-0.871386\pi\)
0.919475 0.393149i \(-0.128614\pi\)
\(308\) −16.9000 + 36.0972i −0.962966 + 2.05683i
\(309\) 3.32214 + 10.4741i 0.188990 + 0.595851i
\(310\) −2.22514 3.12595i −0.126379 0.177542i
\(311\) 5.38557 16.5751i 0.305387 0.939886i −0.674145 0.738599i \(-0.735488\pi\)
0.979532 0.201287i \(-0.0645123\pi\)
\(312\) −16.7576 + 4.79432i −0.948713 + 0.271425i
\(313\) −6.19251 19.0586i −0.350021 1.07726i −0.958840 0.283946i \(-0.908356\pi\)
0.608819 0.793309i \(-0.291644\pi\)
\(314\) 4.96999 + 5.62626i 0.280473 + 0.317508i
\(315\) 12.5243 27.0850i 0.705662 1.52607i
\(316\) 14.5876 + 13.6451i 0.820617 + 0.767599i
\(317\) 5.91187 + 8.13699i 0.332044 + 0.457019i 0.942097 0.335342i \(-0.108852\pi\)
−0.610053 + 0.792361i \(0.708852\pi\)
\(318\) 2.82480 4.71127i 0.158407 0.264195i
\(319\) 20.8534 + 28.7023i 1.16757 + 1.60702i
\(320\) −8.04441 15.9777i −0.449696 0.893182i
\(321\) 6.56730 8.90695i 0.366551 0.497138i
\(322\) 7.51723 + 17.3248i 0.418919 + 0.965475i
\(323\) −0.244494 + 0.752475i −0.0136040 + 0.0418688i
\(324\) −8.25656 15.9947i −0.458698 0.888592i
\(325\) 16.2543 7.22897i 0.901629 0.400991i
\(326\) 4.65344 + 2.74590i 0.257730 + 0.152082i
\(327\) 2.40140 + 0.798944i 0.132798 + 0.0441817i
\(328\) 14.3184 18.5713i 0.790603 1.02543i
\(329\) 16.5188 22.7362i 0.910712 1.25349i
\(330\) −14.0892 20.0901i −0.775586 1.10592i
\(331\) −1.20470 1.65813i −0.0662164 0.0911390i 0.774624 0.632422i \(-0.217939\pi\)
−0.840841 + 0.541283i \(0.817939\pi\)
\(332\) 5.66948 + 10.2652i 0.311153 + 0.563375i
\(333\) −1.15405 + 0.813962i −0.0632418 + 0.0446049i
\(334\) −15.9261 3.54357i −0.871437 0.193896i
\(335\) 18.2852 + 1.92561i 0.999025 + 0.105207i
\(336\) −19.5709 23.8076i −1.06768 1.29881i
\(337\) 2.76950 + 8.52366i 0.150864 + 0.464313i 0.997718 0.0675124i \(-0.0215062\pi\)
−0.846854 + 0.531826i \(0.821506\pi\)
\(338\) 0.471466 + 0.104902i 0.0256444 + 0.00570590i
\(339\) −3.52849 + 10.6057i −0.191641 + 0.576021i
\(340\) 0.396556 1.70414i 0.0215063 0.0924199i
\(341\) −5.16989 + 1.67980i −0.279965 + 0.0909662i
\(342\) −8.55162 + 0.695791i −0.462419 + 0.0376241i
\(343\) 25.7466i 1.39019i
\(344\) −8.69959 12.7207i −0.469050 0.685854i
\(345\) −11.5539 1.29882i −0.622044 0.0699259i
\(346\) 12.3527 + 28.4690i 0.664084 + 1.53050i
\(347\) 18.8668 + 13.7075i 1.01282 + 0.735859i 0.964799 0.262987i \(-0.0847078\pi\)
0.0480234 + 0.998846i \(0.484708\pi\)
\(348\) −26.9726 + 5.00381i −1.44588 + 0.268232i
\(349\) −28.4564 −1.52324 −0.761619 0.648025i \(-0.775595\pi\)
−0.761619 + 0.648025i \(0.775595\pi\)
\(350\) 23.1658 + 21.2777i 1.23826 + 1.13734i
\(351\) 0.389309 18.4832i 0.0207798 0.986558i
\(352\) −25.0111 + 4.08671i −1.33310 + 0.217822i
\(353\) −13.9044 + 19.1378i −0.740058 + 1.01860i 0.258558 + 0.965996i \(0.416753\pi\)
−0.998615 + 0.0526061i \(0.983247\pi\)
\(354\) −2.14852 5.04842i −0.114192 0.268320i
\(355\) −2.70614 + 0.574631i −0.143627 + 0.0304983i
\(356\) −12.0642 + 25.7684i −0.639403 + 1.36572i
\(357\) 0.0211607 3.01433i 0.00111995 0.159535i
\(358\) 2.80880 + 29.4073i 0.148449 + 1.55422i
\(359\) −8.22215 25.3052i −0.433948 1.33556i −0.894161 0.447747i \(-0.852227\pi\)
0.460212 0.887809i \(-0.347773\pi\)
\(360\) 18.7106 3.14849i 0.986136 0.165940i
\(361\) 4.60754 14.1806i 0.242502 0.746345i
\(362\) 7.05666 + 1.57011i 0.370890 + 0.0825234i
\(363\) −14.9755 + 4.74986i −0.786008 + 0.249303i
\(364\) −5.99199 31.0811i −0.314066 1.62909i
\(365\) −16.4169 28.4484i −0.859302 1.48906i
\(366\) −3.20286 + 13.9328i −0.167416 + 0.728277i
\(367\) 8.78119 + 12.0863i 0.458374 + 0.630898i 0.974171 0.225813i \(-0.0725039\pi\)
−0.515796 + 0.856711i \(0.672504\pi\)
\(368\) −6.39455 + 10.1638i −0.333339 + 0.529824i
\(369\) 14.3359 + 20.3257i 0.746295 + 1.05811i
\(370\) −0.446255 1.42015i −0.0231997 0.0738302i
\(371\) 8.07067 + 5.86368i 0.419008 + 0.304427i
\(372\) 0.547927 4.16739i 0.0284087 0.216069i
\(373\) 0.0985837 0.303410i 0.00510447 0.0157100i −0.948472 0.316861i \(-0.897371\pi\)
0.953576 + 0.301151i \(0.0973710\pi\)
\(374\) −2.13481 1.25971i −0.110388 0.0651381i
\(375\) −18.4623 + 5.84338i −0.953387 + 0.301751i
\(376\) 17.8620 + 0.508939i 0.921161 + 0.0262465i
\(377\) −26.7964 8.70667i −1.38008 0.448416i
\(378\) 30.2548 12.3772i 1.55614 0.636612i
\(379\) −18.1154 + 24.9337i −0.930525 + 1.28076i 0.0291297 + 0.999576i \(0.490726\pi\)
−0.959654 + 0.281182i \(0.909274\pi\)
\(380\) 2.04979 8.80863i 0.105152 0.451873i
\(381\) 10.9912 7.86826i 0.563094 0.403103i
\(382\) −11.2777 + 19.1121i −0.577015 + 0.977859i
\(383\) 8.09394 5.88059i 0.413581 0.300484i −0.361469 0.932384i \(-0.617725\pi\)
0.775050 + 0.631900i \(0.217725\pi\)
\(384\) 5.47050 18.8168i 0.279165 0.960243i
\(385\) 38.5963 22.2731i 1.96705 1.13514i
\(386\) 4.20726 + 4.76281i 0.214144 + 0.242421i
\(387\) 15.6152 4.83239i 0.793765 0.245644i
\(388\) −15.9637 + 17.0663i −0.810433 + 0.866410i
\(389\) −23.4799 7.62910i −1.19048 0.386811i −0.354230 0.935158i \(-0.615257\pi\)
−0.836250 + 0.548348i \(0.815257\pi\)
\(390\) 18.4302 + 6.33090i 0.933252 + 0.320578i
\(391\) −1.11702 + 0.362940i −0.0564899 + 0.0183547i
\(392\) 29.8555 20.4179i 1.50793 1.03126i
\(393\) −0.141896 + 20.2129i −0.00715769 + 1.01961i
\(394\) 17.0388 1.62743i 0.858400 0.0819889i
\(395\) −4.63872 21.8453i −0.233399 1.09916i
\(396\) 3.69103 26.6255i 0.185481 1.33798i
\(397\) 18.6495 + 13.5496i 0.935989 + 0.680036i 0.947452 0.319898i \(-0.103649\pi\)
−0.0114626 + 0.999934i \(0.503649\pi\)
\(398\) 21.5554 19.0411i 1.08047 0.954444i
\(399\) 0.109379 15.5810i 0.00547581 0.780024i
\(400\) −2.85238 + 19.7956i −0.142619 + 0.989778i
\(401\) 24.8480i 1.24085i −0.784266 0.620425i \(-0.786960\pi\)
0.784266 0.620425i \(-0.213040\pi\)
\(402\) 13.2280 + 15.1883i 0.659755 + 0.757524i
\(403\) 2.53749 3.49256i 0.126401 0.173977i
\(404\) 13.2898 + 1.65252i 0.661193 + 0.0822160i
\(405\) −2.66875 + 19.9469i −0.132611 + 0.991168i
\(406\) −4.73682 49.5931i −0.235084 2.46127i
\(407\) −2.10893 −0.104536
\(408\) 1.58963 1.07084i 0.0786984 0.0530142i
\(409\) 4.31358 + 13.2758i 0.213293 + 0.656448i 0.999270 + 0.0381931i \(0.0121602\pi\)
−0.785977 + 0.618255i \(0.787840\pi\)
\(410\) −25.0123 + 7.85963i −1.23527 + 0.388159i
\(411\) −10.7197 + 32.2204i −0.528763 + 1.58932i
\(412\) −9.26628 8.66761i −0.456517 0.427022i
\(413\) 9.47617 3.07899i 0.466292 0.151507i
\(414\) −8.29724 9.66295i −0.407787 0.474908i
\(415\) 1.37312 13.0388i 0.0674038 0.640051i
\(416\) 14.1618 14.3008i 0.694340 0.701157i
\(417\) 16.0950 11.5220i 0.788178 0.564234i
\(418\) −11.0348 6.51140i −0.539728 0.318483i
\(419\) 15.6018 11.3354i 0.762197 0.553768i −0.137387 0.990517i \(-0.543870\pi\)
0.899583 + 0.436749i \(0.143870\pi\)
\(420\) 2.70229 + 34.3507i 0.131858 + 1.67614i
\(421\) 6.56550 + 4.77011i 0.319983 + 0.232481i 0.736168 0.676799i \(-0.236633\pi\)
−0.416185 + 0.909280i \(0.636633\pi\)
\(422\) −11.5756 26.6781i −0.563492 1.29867i
\(423\) −6.10934 + 17.9415i −0.297046 + 0.872347i
\(424\) −0.180658 + 6.34046i −0.00877353 + 0.307920i
\(425\) −1.45427 + 1.30835i −0.0705422 + 0.0634645i
\(426\) −2.59913 1.55840i −0.125928 0.0755045i
\(427\) −24.6916 8.02279i −1.19491 0.388250i
\(428\) −1.57677 + 12.6806i −0.0762161 + 0.612941i
\(429\) 16.3838 22.2207i 0.791018 1.07282i
\(430\) −0.167105 + 17.2292i −0.00805852 + 0.830866i
\(431\) −17.7471 + 12.8940i −0.854848 + 0.621084i −0.926479 0.376348i \(-0.877180\pi\)
0.0716303 + 0.997431i \(0.477180\pi\)
\(432\) 17.3554 + 11.4363i 0.835014 + 0.550229i
\(433\) −4.11462 + 2.98945i −0.197736 + 0.143664i −0.682248 0.731121i \(-0.738997\pi\)
0.484511 + 0.874785i \(0.338997\pi\)
\(434\) 7.45105 + 1.65787i 0.357662 + 0.0795801i
\(435\) 27.9283 + 12.6770i 1.33906 + 0.607815i
\(436\) −2.86950 + 0.553200i −0.137424 + 0.0264935i
\(437\) −5.77381 + 1.87603i −0.276199 + 0.0897425i
\(438\) 8.06093 35.0658i 0.385166 1.67551i
\(439\) −0.610863 0.198481i −0.0291549 0.00947300i 0.294403 0.955681i \(-0.404879\pi\)
−0.323558 + 0.946208i \(0.604879\pi\)
\(440\) 25.5433 + 12.2623i 1.21773 + 0.584581i
\(441\) 11.3416 + 36.6489i 0.540077 + 1.74518i
\(442\) 1.95963 0.187171i 0.0932102 0.00890284i
\(443\) 8.12281 0.385926 0.192963 0.981206i \(-0.438190\pi\)
0.192963 + 0.981206i \(0.438190\pi\)
\(444\) 0.701782 1.47196i 0.0333051 0.0698562i
\(445\) 27.5524 15.8999i 1.30611 0.753729i
\(446\) 9.30152 + 21.4371i 0.440440 + 1.01507i
\(447\) 8.95814 + 6.60504i 0.423705 + 0.312408i
\(448\) 33.1640 + 12.9062i 1.56685 + 0.609762i
\(449\) 29.2373i 1.37980i 0.723907 + 0.689898i \(0.242344\pi\)
−0.723907 + 0.689898i \(0.757656\pi\)
\(450\) −19.1671 9.08965i −0.903546 0.428490i
\(451\) 37.1434i 1.74901i
\(452\) −2.44317 12.6730i −0.114917 0.596087i
\(453\) 1.46760 + 1.08210i 0.0689539 + 0.0508413i
\(454\) 3.89767 1.69119i 0.182927 0.0793716i
\(455\) −14.4008 + 32.3271i −0.675121 + 1.51552i
\(456\) 8.21675 5.53511i 0.384784 0.259205i
\(457\) −33.5880 −1.57118 −0.785591 0.618746i \(-0.787641\pi\)
−0.785591 + 0.618746i \(0.787641\pi\)
\(458\) 0.540510 + 5.65899i 0.0252564 + 0.264427i
\(459\) 0.587357 + 1.94623i 0.0274155 + 0.0908424i
\(460\) 12.3672 5.22420i 0.576626 0.243580i
\(461\) −9.16328 2.97733i −0.426777 0.138668i 0.0877500 0.996143i \(-0.472032\pi\)
−0.514527 + 0.857474i \(0.672032\pi\)
\(462\) 47.5744 + 10.9364i 2.21336 + 0.508807i
\(463\) −27.0938 + 8.80331i −1.25916 + 0.409125i −0.861194 0.508277i \(-0.830283\pi\)
−0.397963 + 0.917402i \(0.630283\pi\)
\(464\) 24.3282 20.2867i 1.12941 0.941785i
\(465\) −3.16965 + 3.46952i −0.146989 + 0.160895i
\(466\) 2.88062 12.9465i 0.133442 0.599737i
\(467\) −18.0050 + 13.0814i −0.833171 + 0.605334i −0.920455 0.390849i \(-0.872181\pi\)
0.0872836 + 0.996184i \(0.472181\pi\)
\(468\) 10.0573 + 18.8297i 0.464898 + 0.870401i
\(469\) −29.5914 + 21.4994i −1.36641 + 0.992752i
\(470\) −16.0482 11.8992i −0.740249 0.548870i
\(471\) 5.45630 7.40015i 0.251413 0.340981i
\(472\) 5.01728 + 3.86830i 0.230939 + 0.178053i
\(473\) 23.2152 + 7.54307i 1.06743 + 0.346831i
\(474\) 12.5802 20.9815i 0.577826 0.963711i
\(475\) −7.51705 + 6.76284i −0.344906 + 0.310300i
\(476\) 1.68281 + 3.04691i 0.0771316 + 0.139655i
\(477\) −6.36870 2.16863i −0.291603 0.0992948i
\(478\) −2.01107 + 0.872599i −0.0919840 + 0.0399118i
\(479\) −2.02892 1.47410i −0.0927037 0.0673532i 0.540468 0.841365i \(-0.318247\pi\)
−0.633172 + 0.774011i \(0.718247\pi\)
\(480\) −17.0586 + 13.7479i −0.778616 + 0.627501i
\(481\) 1.35497 0.984445i 0.0617814 0.0448868i
\(482\) −0.884327 + 1.49866i −0.0402800 + 0.0682619i
\(483\) 18.8074 13.4637i 0.855766 0.612618i
\(484\) 12.3926 13.2486i 0.563300 0.602207i
\(485\) 25.5572 5.42691i 1.16049 0.246423i
\(486\) −17.0243 + 14.0062i −0.772236 + 0.635336i
\(487\) −2.51860 + 0.818343i −0.114129 + 0.0370827i −0.365525 0.930802i \(-0.619110\pi\)
0.251396 + 0.967884i \(0.419110\pi\)
\(488\) −4.65196 15.8387i −0.210584 0.716986i
\(489\) 2.08906 6.27914i 0.0944705 0.283952i
\(490\) −40.4370 0.392195i −1.82676 0.0177176i
\(491\) 0.490301 + 1.50899i 0.0221270 + 0.0680998i 0.961510 0.274769i \(-0.0886014\pi\)
−0.939383 + 0.342869i \(0.888601\pi\)
\(492\) −25.9248 12.3601i −1.16878 0.557236i
\(493\) 3.09828 0.139539
\(494\) 10.1293 0.967483i 0.455738 0.0435291i
\(495\) −20.4254 + 22.0450i −0.918052 + 0.990847i
\(496\) 1.80431 + 4.50565i 0.0810161 + 0.202310i
\(497\) 3.23489 4.45245i 0.145105 0.199720i
\(498\) 10.8305 9.43268i 0.485327 0.422689i
\(499\) 23.7639i 1.06382i 0.846802 + 0.531908i \(0.178525\pi\)
−0.846802 + 0.531908i \(0.821475\pi\)
\(500\) 15.2850 16.3208i 0.683567 0.729887i
\(501\) −0.140274 + 19.9819i −0.00626698 + 0.892726i
\(502\) −18.8951 21.3901i −0.843328 0.954686i
\(503\) −11.4099 8.28975i −0.508741 0.369622i 0.303605 0.952798i \(-0.401810\pi\)
−0.812346 + 0.583176i \(0.801810\pi\)
\(504\) −23.4644 + 29.5660i −1.04519 + 1.31697i
\(505\) −11.1250 10.0211i −0.495056 0.445933i
\(506\) −1.80842 18.9337i −0.0803941 0.841704i
\(507\) 0.00415258 0.591532i 0.000184423 0.0262708i
\(508\) −6.61810 + 14.1358i −0.293631 + 0.627175i
\(509\) 22.0085 7.15099i 0.975509 0.316962i 0.222471 0.974939i \(-0.428588\pi\)
0.753038 + 0.657977i \(0.228588\pi\)
\(510\) −2.14260 0.0358245i −0.0948759 0.00158634i
\(511\) 62.1436 + 20.1917i 2.74907 + 0.893228i
\(512\) 5.12998 + 22.0382i 0.226715 + 0.973961i
\(513\) 3.03603 + 10.0600i 0.134044 + 0.444161i
\(514\) 28.4803 25.1583i 1.25621 1.10968i
\(515\) 2.94659 + 13.8765i 0.129842 + 0.611471i
\(516\) −12.9901 + 13.6933i −0.571855 + 0.602815i
\(517\) −22.8980 + 16.6364i −1.00705 + 0.731668i
\(518\) 2.55047 + 1.50498i 0.112061 + 0.0661252i
\(519\) 30.9052 22.1241i 1.35659 0.971142i
\(520\) −22.1354 + 4.04514i −0.970701 + 0.177391i
\(521\) 0.115346 0.158761i 0.00505342 0.00695543i −0.806483 0.591258i \(-0.798632\pi\)
0.811536 + 0.584302i \(0.198632\pi\)
\(522\) 12.9395 + 31.0065i 0.566347 + 1.35712i
\(523\) −22.5692 7.33316i −0.986880 0.320657i −0.229269 0.973363i \(-0.573634\pi\)
−0.757611 + 0.652706i \(0.773634\pi\)
\(524\) −11.2843 20.4314i −0.492956 0.892549i
\(525\) 19.5092 33.2187i 0.851452 1.44978i
\(526\) −16.7267 + 28.3464i −0.729317 + 1.23596i
\(527\) −0.146696 + 0.451484i −0.00639018 + 0.0196670i
\(528\) 11.3362 + 28.8943i 0.493343 + 1.25746i
\(529\) 11.3165 + 8.22191i 0.492021 + 0.357475i
\(530\) 4.22386 5.69663i 0.183473 0.247446i
\(531\) −5.49124 + 3.87301i −0.238300 + 0.168074i
\(532\) 8.69840 + 15.7494i 0.377124 + 0.682822i
\(533\) −17.3385 23.8644i −0.751012 1.03368i
\(534\) 33.9615 + 7.80707i 1.46966 + 0.337845i
\(535\) 9.56173 10.6150i 0.413390 0.458928i
\(536\) −21.9051 7.81386i −0.946155 0.337508i
\(537\) 34.4872 10.9385i 1.48823 0.472032i
\(538\) 7.50128 33.7135i 0.323403 1.45349i
\(539\) −17.7036 + 54.4860i −0.762547 + 2.34688i
\(540\) −8.58974 21.5920i −0.369644 0.929174i
\(541\) −10.8345 33.3452i −0.465813 1.43362i −0.857958 0.513720i \(-0.828267\pi\)
0.392145 0.919903i \(-0.371733\pi\)
\(542\) −15.2543 + 1.45700i −0.655229 + 0.0625833i
\(543\) 0.0621537 8.85374i 0.00266727 0.379950i
\(544\) −0.995117 + 1.97684i −0.0426653 + 0.0847563i
\(545\) 2.98453 + 1.32953i 0.127843 + 0.0569507i
\(546\) −35.6713 + 15.1811i −1.52659 + 0.649690i
\(547\) 9.43075 12.9803i 0.403230 0.554998i −0.558321 0.829625i \(-0.688554\pi\)
0.961551 + 0.274627i \(0.0885543\pi\)
\(548\) −7.42246 38.5010i −0.317072 1.64468i
\(549\) 17.5074 + 0.245818i 0.747198 + 0.0104913i
\(550\) −15.5668 27.5899i −0.663772 1.17644i
\(551\) 16.0149 0.682257
\(552\) 13.8168 + 5.03828i 0.588083 + 0.214444i
\(553\) 35.9424 + 26.1137i 1.52843 + 1.11047i
\(554\) −36.7154 + 15.9308i −1.55989 + 0.676834i
\(555\) −1.58546 + 0.900158i −0.0672989 + 0.0382096i
\(556\) −9.69130 + 20.6999i −0.411003 + 0.877873i
\(557\) 28.3024i 1.19921i 0.800296 + 0.599606i \(0.204676\pi\)
−0.800296 + 0.599606i \(0.795324\pi\)
\(558\) −5.13096 + 0.417474i −0.217211 + 0.0176731i
\(559\) −18.4367 + 5.99044i −0.779789 + 0.253369i
\(560\) −22.1406 33.0579i −0.935610 1.39695i
\(561\) −0.958377 + 2.88062i −0.0404627 + 0.121620i
\(562\) 0.703344 3.16108i 0.0296688 0.133342i
\(563\) −6.54274 20.1365i −0.275744 0.848652i −0.989022 0.147771i \(-0.952790\pi\)
0.713278 0.700881i \(-0.247210\pi\)
\(564\) −3.99192 21.5181i −0.168090 0.906075i
\(565\) −5.87179 + 13.1810i −0.247028 + 0.554530i
\(566\) 2.54790 11.4512i 0.107096 0.481329i
\(567\) −22.6135 33.0371i −0.949677 1.38743i
\(568\) 3.49792 + 0.0996659i 0.146770 + 0.00418189i
\(569\) 5.41276 + 7.45002i 0.226915 + 0.312321i 0.907260 0.420571i \(-0.138170\pi\)
−0.680345 + 0.732892i \(0.738170\pi\)
\(570\) −11.0750 0.185176i −0.463882 0.00775616i
\(571\) 23.1140 31.8137i 0.967292 1.33136i 0.0238892 0.999715i \(-0.492395\pi\)
0.943403 0.331649i \(-0.107605\pi\)
\(572\) −3.93366 + 31.6351i −0.164474 + 1.32273i
\(573\) 25.7889 + 8.57995i 1.07735 + 0.358432i
\(574\) 26.5064 44.9200i 1.10636 1.87492i
\(575\) −14.6808 3.12674i −0.612230 0.130394i
\(576\) −23.9395 1.70281i −0.997480 0.0709505i
\(577\) 8.56528 26.3612i 0.356577 1.09743i −0.598512 0.801114i \(-0.704241\pi\)
0.955089 0.296318i \(-0.0957588\pi\)
\(578\) 21.8564 9.48347i 0.909106 0.394460i
\(579\) 4.61893 6.26446i 0.191956 0.260342i
\(580\) −35.2861 + 3.02526i −1.46518 + 0.125617i
\(581\) 15.3309 + 21.1011i 0.636032 + 0.875422i
\(582\) 24.5466 + 14.7177i 1.01749 + 0.610070i
\(583\) −5.90542 8.12811i −0.244577 0.336632i
\(584\) 11.7080 + 39.8628i 0.484481 + 1.64953i
\(585\) 2.83260 23.6983i 0.117113 0.979803i
\(586\) −0.681596 + 0.602092i −0.0281565 + 0.0248722i
\(587\) 8.48790 + 26.1231i 0.350333 + 1.07821i 0.958666 + 0.284533i \(0.0918385\pi\)
−0.608333 + 0.793682i \(0.708162\pi\)
\(588\) −32.1382 30.4876i −1.32536 1.25729i
\(589\) −0.758267 + 2.33371i −0.0312439 + 0.0961587i
\(590\) −2.12338 6.75739i −0.0874181 0.278197i
\(591\) −6.33784 19.9821i −0.260704 0.821953i
\(592\) 0.125575 + 1.87877i 0.00516110 + 0.0772171i
\(593\) 14.4874i 0.594925i −0.954734 0.297462i \(-0.903860\pi\)
0.954734 0.297462i \(-0.0961403\pi\)
\(594\) −32.8308 + 2.43937i −1.34706 + 0.100088i
\(595\) 0.407569 3.87018i 0.0167087 0.158662i
\(596\) −12.7535 1.58583i −0.522403 0.0649582i
\(597\) −28.3516 20.9043i −1.16035 0.855554i
\(598\) 10.0001 + 11.3206i 0.408935 + 0.462933i
\(599\) −48.7931 −1.99363 −0.996817 0.0797289i \(-0.974595\pi\)
−0.996817 + 0.0797289i \(0.974595\pi\)
\(600\) 24.4369 1.68410i 0.997634 0.0687532i
\(601\) 1.97030 0.0803701 0.0401850 0.999192i \(-0.487205\pi\)
0.0401850 + 0.999192i \(0.487205\pi\)
\(602\) −22.6928 25.6893i −0.924889 1.04702i
\(603\) 14.7781 19.7511i 0.601811 0.804328i
\(604\) −2.08939 0.259805i −0.0850160 0.0105713i
\(605\) −19.8400 + 4.21291i −0.806612 + 0.171279i
\(606\) −1.44486 16.3382i −0.0586933 0.663695i
\(607\) 6.81935i 0.276789i −0.990377 0.138394i \(-0.955806\pi\)
0.990377 0.138394i \(-0.0441941\pi\)
\(608\) −5.14373 + 10.2182i −0.208606 + 0.414403i
\(609\) −58.1600 + 18.4470i −2.35676 + 0.747509i
\(610\) −5.87326 + 17.4968i −0.237801 + 0.708425i
\(611\) 6.94598 21.3775i 0.281004 0.864842i
\(612\) −1.69166 1.62749i −0.0683811 0.0657873i
\(613\) 2.82937 + 8.70791i 0.114277 + 0.351709i 0.991796 0.127834i \(-0.0408024\pi\)
−0.877518 + 0.479543i \(0.840802\pi\)
\(614\) 14.6023 12.8991i 0.589302 0.520564i
\(615\) 15.8540 + 27.9238i 0.639293 + 1.12599i
\(616\) −54.0825 + 15.8844i −2.17905 + 0.640003i
\(617\) 2.71868 + 3.74194i 0.109450 + 0.150645i 0.860228 0.509910i \(-0.170321\pi\)
−0.750778 + 0.660555i \(0.770321\pi\)
\(618\) −7.99112 + 13.3278i −0.321450 + 0.536121i
\(619\) −8.75815 12.0546i −0.352020 0.484514i 0.595884 0.803071i \(-0.296802\pi\)
−0.947904 + 0.318557i \(0.896802\pi\)
\(620\) 1.22987 5.28517i 0.0493928 0.212257i
\(621\) −9.43251 + 12.4239i −0.378514 + 0.498553i
\(622\) 22.6103 9.81059i 0.906591 0.393369i
\(623\) −19.5558 + 60.1865i −0.783486 + 2.41132i
\(624\) −20.7712 13.2727i −0.831514 0.531332i
\(625\) −24.4579 + 5.17788i −0.978317 + 0.207115i
\(626\) 14.4024 24.4075i 0.575635 0.975520i
\(627\) −4.95382 + 14.8898i −0.197836 + 0.594642i
\(628\) −1.31002 + 10.5354i −0.0522757 + 0.420409i
\(629\) −0.108254 + 0.148998i −0.00431635 + 0.00594095i
\(630\) 40.4336 12.0844i 1.61091 0.481455i
\(631\) −11.4029 15.6948i −0.453944 0.624800i 0.519295 0.854595i \(-0.326194\pi\)
−0.973239 + 0.229795i \(0.926194\pi\)
\(632\) −0.804554 + 28.2370i −0.0320034 + 1.12321i
\(633\) −28.9611 + 20.7324i −1.15110 + 0.824039i
\(634\) −3.08930 + 13.8844i −0.122692 + 0.551422i
\(635\) 15.1145 8.72225i 0.599800 0.346132i
\(636\) 7.63827 1.41701i 0.302877 0.0561882i
\(637\) −14.0596 43.2709i −0.557060 1.71445i
\(638\) −10.8972 + 48.9758i −0.431422 + 1.93897i
\(639\) −1.19640 + 3.51350i −0.0473287 + 0.138992i
\(640\) 9.40308 23.4858i 0.371689 0.928357i
\(641\) 18.3043 5.94743i 0.722977 0.234910i 0.0756637 0.997133i \(-0.475892\pi\)
0.647314 + 0.762224i \(0.275892\pi\)
\(642\) 15.5893 1.37863i 0.615260 0.0544101i
\(643\) 11.3786i 0.448730i −0.974505 0.224365i \(-0.927969\pi\)
0.974505 0.224365i \(-0.0720307\pi\)
\(644\) −11.3245 + 24.1883i −0.446247 + 0.953152i
\(645\) 20.6724 4.23822i 0.813975 0.166880i
\(646\) −1.02646 + 0.445382i −0.0403857 + 0.0175233i
\(647\) −28.1074 20.4213i −1.10502 0.802842i −0.123146 0.992389i \(-0.539298\pi\)
−0.981872 + 0.189546i \(0.939298\pi\)
\(648\) 9.22241 23.7265i 0.362291 0.932065i
\(649\) −10.0348 −0.393898
\(650\) 22.8805 + 10.4597i 0.897447 + 0.410265i
\(651\) 0.0656274 9.34856i 0.00257214 0.366399i
\(652\) 1.44649 + 7.50311i 0.0566490 + 0.293844i
\(653\) −4.77390 + 6.57071i −0.186817 + 0.257132i −0.892145 0.451750i \(-0.850800\pi\)
0.705328 + 0.708882i \(0.250800\pi\)
\(654\) 1.40157 + 3.29329i 0.0548055 + 0.128778i
\(655\) −2.73300 + 25.9519i −0.106787 + 1.01402i
\(656\) 33.0898 2.21168i 1.29194 0.0863516i
\(657\) −44.0625 0.618672i −1.71904 0.0241367i
\(658\) 39.5643 3.77893i 1.54238 0.147318i
\(659\) 2.70565 + 8.32715i 0.105397 + 0.324380i 0.989824 0.142300i \(-0.0454499\pi\)
−0.884426 + 0.466680i \(0.845450\pi\)
\(660\) 8.10218 33.7430i 0.315377 1.31344i
\(661\) −3.36376 + 10.3526i −0.130835 + 0.402669i −0.994919 0.100679i \(-0.967899\pi\)
0.864084 + 0.503348i \(0.167899\pi\)
\(662\) 0.629528 2.82933i 0.0244673 0.109965i
\(663\) −0.728917 2.29814i −0.0283088 0.0892525i
\(664\) −5.57193 + 15.6201i −0.216233 + 0.606178i
\(665\) 2.10671 20.0048i 0.0816947 0.775754i
\(666\) −1.94323 0.461096i −0.0752986 0.0178671i
\(667\) 13.9736 + 19.2331i 0.541061 + 0.744707i
\(668\) −11.1553 20.1979i −0.431612 0.781479i
\(669\) 23.2715 16.6594i 0.899728 0.644090i
\(670\) 15.0789 + 21.1834i 0.582550 + 0.818386i
\(671\) 21.1534 + 15.3689i 0.816619 + 0.593309i
\(672\) 6.91008 43.0336i 0.266562 1.66006i
\(673\) 3.30034 10.1574i 0.127219 0.391540i −0.867080 0.498169i \(-0.834006\pi\)
0.994299 + 0.106630i \(0.0340059\pi\)
\(674\) −6.44124 + 10.9159i −0.248107 + 0.420464i
\(675\) −5.94596 + 25.2912i −0.228860 + 0.973459i
\(676\) 0.330235 + 0.597925i 0.0127013 + 0.0229971i
\(677\) 6.74302 + 2.19094i 0.259155 + 0.0842047i 0.435713 0.900086i \(-0.356496\pi\)
−0.176558 + 0.984290i \(0.556496\pi\)
\(678\) −14.5446 + 6.18993i −0.558582 + 0.237723i
\(679\) −30.5509 + 42.0497i −1.17243 + 1.61372i
\(680\) 2.17751 1.17523i 0.0835035 0.0450678i
\(681\) −3.02900 4.23120i −0.116071 0.162140i
\(682\) −6.62085 3.90683i −0.253525 0.149600i
\(683\) 1.54821 1.12484i 0.0592406 0.0430408i −0.557771 0.829995i \(-0.688343\pi\)
0.617011 + 0.786954i \(0.288343\pi\)
\(684\) −8.74411 8.41244i −0.334339 0.321658i
\(685\) −17.8387 + 40.0445i −0.681582 + 1.53002i
\(686\) 27.2889 24.1058i 1.04189 0.920365i
\(687\) 6.63654 2.10495i 0.253200 0.0803089i
\(688\) 5.33753 21.1308i 0.203491 0.805602i
\(689\) 7.58838 + 2.46561i 0.289094 + 0.0939324i
\(690\) −9.44102 13.4621i −0.359414 0.512494i
\(691\) 33.0697 10.7450i 1.25803 0.408759i 0.397239 0.917715i \(-0.369968\pi\)
0.860793 + 0.508956i \(0.169968\pi\)
\(692\) −18.6089 + 39.7474i −0.707405 + 1.51097i
\(693\) 0.839362 59.7803i 0.0318847 2.27087i
\(694\) 3.13580 + 32.8310i 0.119033 + 1.24625i
\(695\) 22.1331 12.7725i 0.839556 0.484490i
\(696\) −30.5572 23.9034i −1.15827 0.906055i
\(697\) 2.62422 + 1.90661i 0.0993994 + 0.0722179i
\(698\) −26.6430 30.1610i −1.00845 1.14161i
\(699\) −16.2436 0.114031i −0.614388 0.00431303i
\(700\) −0.862806 + 44.4752i −0.0326110 + 1.68100i
\(701\) 13.3975i 0.506016i 0.967464 + 0.253008i \(0.0814198\pi\)
−0.967464 + 0.253008i \(0.918580\pi\)
\(702\) 19.9549 16.8926i 0.753148 0.637571i
\(703\) −0.559559 + 0.770167i −0.0211042 + 0.0290474i
\(704\) −27.7487 22.6831i −1.04582 0.854902i
\(705\) −10.1134 + 22.2806i −0.380893 + 0.839134i
\(706\) −33.3025 + 3.18084i −1.25336 + 0.119713i
\(707\) 29.7866 1.12024
\(708\) 3.33924 7.00391i 0.125496 0.263223i
\(709\) 7.03277 + 21.6446i 0.264121 + 0.812881i 0.991895 + 0.127064i \(0.0405552\pi\)
−0.727773 + 0.685818i \(0.759445\pi\)
\(710\) −3.14273 2.33023i −0.117945 0.0874520i
\(711\) −28.3628 9.65793i −1.06369 0.362200i
\(712\) −38.6074 + 11.3393i −1.44687 + 0.424958i
\(713\) −3.46428 + 1.12561i −0.129738 + 0.0421545i
\(714\) 3.21471 2.79980i 0.120307 0.104780i
\(715\) 23.8542 26.4819i 0.892096 0.990367i
\(716\) −28.5391 + 30.5103i −1.06656 + 1.14022i
\(717\) 1.56286 + 2.18316i 0.0583661 + 0.0815316i
\(718\) 19.1229 32.4072i 0.713659 1.20943i
\(719\) 12.4553 9.04931i 0.464505 0.337482i −0.330791 0.943704i \(-0.607316\pi\)
0.795296 + 0.606222i \(0.207316\pi\)
\(720\) 20.8553 + 16.8836i 0.777232 + 0.629215i
\(721\) −22.8312 16.5878i −0.850278 0.617763i
\(722\) 19.3439 8.39331i 0.719906 0.312367i
\(723\) 2.02222 + 0.672789i 0.0752070 + 0.0250213i
\(724\) 4.94279 + 8.94943i 0.183697 + 0.332603i
\(725\) 34.2829 + 19.8119i 1.27323 + 0.735794i
\(726\) −19.0555 11.4254i −0.707216 0.424035i
\(727\) −14.5937 4.74177i −0.541249 0.175862i 0.0256182 0.999672i \(-0.491845\pi\)
−0.566867 + 0.823809i \(0.691845\pi\)
\(728\) 27.3328 35.4513i 1.01302 1.31391i
\(729\) 21.1558 + 16.7759i 0.783550 + 0.621329i
\(730\) 14.7818 44.0358i 0.547098 1.62984i
\(731\) 1.72458 1.25298i 0.0637861 0.0463433i
\(732\) −17.7661 + 9.65012i −0.656655 + 0.356679i
\(733\) 16.5587 12.0306i 0.611609 0.444360i −0.238372 0.971174i \(-0.576614\pi\)
0.849981 + 0.526814i \(0.176614\pi\)
\(734\) −4.58869 + 20.6232i −0.169372 + 0.761218i
\(735\) 9.94709 + 48.5181i 0.366904 + 1.78962i
\(736\) −16.7597 + 2.73845i −0.617769 + 0.100941i
\(737\) 35.0344 11.3834i 1.29051 0.419312i
\(738\) −8.12101 + 34.2250i −0.298939 + 1.25984i
\(739\) −3.34126 1.08564i −0.122910 0.0399359i 0.246916 0.969037i \(-0.420583\pi\)
−0.369826 + 0.929101i \(0.620583\pi\)
\(740\) 1.08741 1.80264i 0.0399739 0.0662662i
\(741\) −3.76775 11.8790i −0.138412 0.436387i
\(742\) 1.34140 + 14.0441i 0.0492445 + 0.515576i
\(743\) 42.7731 1.56919 0.784597 0.620007i \(-0.212870\pi\)
0.784597 + 0.620007i \(0.212870\pi\)
\(744\) 4.93004 3.32106i 0.180744 0.121756i
\(745\) 10.6760 + 9.61667i 0.391139 + 0.352328i
\(746\) 0.413886 0.179585i 0.0151534 0.00657506i
\(747\) −14.0842 10.5380i −0.515313 0.385565i
\(748\) −0.663593 3.44212i −0.0242634 0.125857i
\(749\) 28.4212i 1.03849i
\(750\) −23.4791 14.0972i −0.857336 0.514757i
\(751\) 20.9257i 0.763589i −0.924247 0.381795i \(-0.875306\pi\)
0.924247 0.381795i \(-0.124694\pi\)
\(752\) 16.1842 + 19.4085i 0.590178 + 0.707754i
\(753\) −20.7439 + 28.1341i −0.755951 + 1.02526i
\(754\) −15.8605 36.5534i −0.577604 1.33119i
\(755\) 1.74904 + 1.57549i 0.0636541 + 0.0573379i
\(756\) 41.4453 + 20.4788i 1.50735 + 0.744805i
\(757\) 28.2009 1.02498 0.512490 0.858693i \(-0.328723\pi\)
0.512490 + 0.858693i \(0.328723\pi\)
\(758\) −43.3882 + 4.14416i −1.57593 + 0.150523i
\(759\) −22.2043 + 7.04268i −0.805965 + 0.255633i
\(760\) 11.2555 6.07470i 0.408278 0.220353i
\(761\) −45.3338 14.7298i −1.64335 0.533956i −0.666065 0.745893i \(-0.732023\pi\)
−0.977283 + 0.211937i \(0.932023\pi\)
\(762\) 18.6303 + 4.28274i 0.674905 + 0.155147i
\(763\) −6.18169 + 2.00855i −0.223792 + 0.0727144i
\(764\) −30.8159 + 5.94087i −1.11488 + 0.214933i
\(765\) 0.509046 + 2.57466i 0.0184046 + 0.0930872i
\(766\) 13.8110 + 3.07296i 0.499011 + 0.111031i
\(767\) 6.44726 4.68421i 0.232797 0.169137i
\(768\) 25.0659 11.8195i 0.904488 0.426499i
\(769\) 18.7076 13.5919i 0.674615 0.490136i −0.196952 0.980413i \(-0.563104\pi\)
0.871567 + 0.490277i \(0.163104\pi\)
\(770\) 59.7440 + 20.0547i 2.15303 + 0.722720i
\(771\) −37.4598 27.6200i −1.34908 0.994709i
\(772\) −1.10898 + 8.91857i −0.0399130 + 0.320986i
\(773\) −44.2869 14.3897i −1.59289 0.517561i −0.627554 0.778573i \(-0.715944\pi\)
−0.965336 + 0.261011i \(0.915944\pi\)
\(774\) 19.7419 + 12.0262i 0.709609 + 0.432272i
\(775\) −4.51022 + 4.05770i −0.162012 + 0.145757i
\(776\) −33.0350 0.941261i −1.18589 0.0337893i
\(777\) 1.14498 3.44149i 0.0410759 0.123463i
\(778\) −13.8975 32.0294i −0.498250 1.14831i
\(779\) 13.5645 + 9.85519i 0.485999 + 0.353099i
\(780\) 10.5456 + 25.4617i 0.377592 + 0.911676i
\(781\) −4.48414 + 3.25792i −0.160455 + 0.116577i
\(782\) −1.43051 0.844117i −0.0511550 0.0301856i
\(783\) 33.7923 23.4805i 1.20764 0.839123i
\(784\) 49.5939 + 12.5272i 1.77121 + 0.447399i
\(785\) 7.94415 8.81926i 0.283539 0.314773i
\(786\) −21.5566 + 18.7744i −0.768898 + 0.669661i
\(787\) 18.9216 6.14801i 0.674484 0.219153i 0.0483050 0.998833i \(-0.484618\pi\)
0.626179 + 0.779680i \(0.284618\pi\)
\(788\) 17.6778 + 16.5357i 0.629747 + 0.589060i
\(789\) 38.2493 + 12.7255i 1.36171 + 0.453040i
\(790\) 18.8108 25.3697i 0.669259 0.902615i
\(791\) −8.87065 27.3011i −0.315404 0.970714i
\(792\) 31.6762 21.0166i 1.12557 0.746791i
\(793\) −20.7651 −0.737390
\(794\) 3.09968 + 32.4527i 0.110003 + 1.15170i
\(795\) −7.90892 3.58996i −0.280501 0.127323i
\(796\) 40.3635 + 5.01899i 1.43064 + 0.177893i
\(797\) −3.72236 + 5.12339i −0.131853 + 0.181480i −0.869839 0.493336i \(-0.835777\pi\)
0.737986 + 0.674816i \(0.235777\pi\)
\(798\) 16.6167 14.4721i 0.588226 0.512307i
\(799\) 2.47173i 0.0874436i
\(800\) −23.6520 + 15.5108i −0.836224 + 0.548389i
\(801\) 0.599188 42.6748i 0.0211713 1.50784i
\(802\) 26.3365 23.2645i 0.929973 0.821497i
\(803\) −53.2388 38.6802i −1.87876 1.36500i
\(804\) −3.71310 + 28.2408i −0.130951 + 0.995978i
\(805\) 25.8629 14.9250i 0.911549 0.526036i
\(806\) 6.07755 0.580489i 0.214073 0.0204468i
\(807\) −42.2991 0.296942i −1.48900 0.0104528i
\(808\) 10.6914 + 15.6331i 0.376121 + 0.549971i
\(809\) 12.7241 4.13430i 0.447355 0.145354i −0.0766716 0.997056i \(-0.524429\pi\)
0.524026 + 0.851702i \(0.324429\pi\)
\(810\) −23.6404 + 15.8471i −0.830640 + 0.556810i
\(811\) −3.37493 1.09658i −0.118510 0.0385062i 0.249162 0.968462i \(-0.419845\pi\)
−0.367672 + 0.929956i \(0.619845\pi\)
\(812\) 48.1290 51.4532i 1.68900 1.80566i
\(813\) 5.67409 + 17.8894i 0.198999 + 0.627409i
\(814\) −1.97453 2.23526i −0.0692073 0.0783459i
\(815\) 3.47642 7.80389i 0.121774 0.273358i
\(816\) 2.62331 + 0.682261i 0.0918341 + 0.0238839i
\(817\) 8.91432 6.47663i 0.311873 0.226589i
\(818\) −10.0324 + 17.0018i −0.350775 + 0.594453i
\(819\) 27.3661 + 38.8002i 0.956248 + 1.35579i
\(820\) −31.7488 19.1519i −1.10872 0.668812i
\(821\) −18.9682 + 26.1075i −0.661994 + 0.911157i −0.999545 0.0301504i \(-0.990401\pi\)
0.337551 + 0.941307i \(0.390401\pi\)
\(822\) −44.1871 + 18.8052i −1.54120 + 0.655908i
\(823\) −43.4983 14.1335i −1.51626 0.492662i −0.571547 0.820569i \(-0.693657\pi\)
−0.944710 + 0.327908i \(0.893657\pi\)
\(824\) 0.511065 17.9366i 0.0178038 0.624851i
\(825\) −29.0246 + 25.7461i −1.01051 + 0.896366i
\(826\) 12.1357 + 7.16104i 0.422255 + 0.249165i
\(827\) 5.52115 16.9923i 0.191989 0.590882i −0.808009 0.589170i \(-0.799455\pi\)
0.999999 0.00171223i \(-0.000545019\pi\)
\(828\) 2.47331 17.8414i 0.0859536 0.620032i
\(829\) 19.3375 + 14.0495i 0.671619 + 0.487960i 0.870567 0.492050i \(-0.163752\pi\)
−0.198948 + 0.980010i \(0.563752\pi\)
\(830\) 15.1055 10.7525i 0.524320 0.373225i
\(831\) 28.5327 + 39.8573i 0.989788 + 1.38263i
\(832\) 28.4168 + 1.62067i 0.985176 + 0.0561866i
\(833\) 2.94075 + 4.04760i 0.101891 + 0.140241i
\(834\) 27.2815 + 6.27148i 0.944682 + 0.217164i
\(835\) −2.70176 + 25.6553i −0.0934983 + 0.887838i
\(836\) −3.43009 17.7922i −0.118632 0.615357i
\(837\) 1.82161 + 6.03600i 0.0629641 + 0.208635i
\(838\) 26.6219 + 5.92339i 0.919638 + 0.204620i
\(839\) 8.46068 26.0393i 0.292095 0.898976i −0.692087 0.721814i \(-0.743308\pi\)
0.984182 0.177162i \(-0.0566916\pi\)
\(840\) −33.8783 + 35.0258i −1.16891 + 1.20850i
\(841\) −10.4179 32.0630i −0.359238 1.10562i
\(842\) 1.09123 + 11.4249i 0.0376064 + 0.393729i
\(843\) −3.96610 0.0278422i −0.136600 0.000958937i
\(844\) 17.4383 37.2470i 0.600251 1.28210i
\(845\) 0.0799812 0.759483i 0.00275144 0.0261270i
\(846\) −24.7363 + 10.3228i −0.850451 + 0.354907i
\(847\) 23.7166 32.6431i 0.814913 1.12163i
\(848\) −6.88942 + 5.74492i −0.236584 + 0.197281i
\(849\) −14.3674 0.100860i −0.493088 0.00346150i
\(850\) −2.74832 0.316404i −0.0942665 0.0108526i
\(851\) −1.41317 −0.0484428
\(852\) −0.781741 4.21390i −0.0267820 0.144366i
\(853\) −13.5494 9.84421i −0.463922 0.337059i 0.331146 0.943580i \(-0.392565\pi\)
−0.795068 + 0.606520i \(0.792565\pi\)
\(854\) −14.6147 33.6822i −0.500104 1.15258i
\(855\) 2.63124 + 13.3084i 0.0899866 + 0.455136i
\(856\) −14.9165 + 10.2013i −0.509836 + 0.348673i
\(857\) 51.1643i 1.74774i 0.486159 + 0.873870i \(0.338398\pi\)
−0.486159 + 0.873870i \(0.661602\pi\)
\(858\) 38.8915 3.43934i 1.32773 0.117417i
\(859\) 12.2968 3.99546i 0.419560 0.136323i −0.0916259 0.995794i \(-0.529206\pi\)
0.511186 + 0.859470i \(0.329206\pi\)
\(860\) −18.4178 + 15.9541i −0.628040 + 0.544031i
\(861\) −60.6130 20.1659i −2.06568 0.687251i
\(862\) −30.2825 6.73790i −1.03143 0.229494i
\(863\) 11.8186 + 36.3739i 0.402309 + 1.23818i 0.923121 + 0.384510i \(0.125629\pi\)
−0.520812 + 0.853672i \(0.674371\pi\)
\(864\) 4.12804 + 29.1026i 0.140439 + 0.990089i
\(865\) 42.4992 24.5254i 1.44502 0.833889i
\(866\) −7.02093 1.56216i −0.238581 0.0530845i
\(867\) −16.9853 23.7267i −0.576850 0.805802i
\(868\) 5.21903 + 9.44960i 0.177145 + 0.320740i
\(869\) −26.2996 36.1982i −0.892151 1.22794i
\(870\) 12.7121 + 41.4704i 0.430981 + 1.40598i
\(871\) −17.1956 + 23.6678i −0.582652 + 0.801951i
\(872\) −3.27297 2.52345i −0.110837 0.0854548i
\(873\) 11.2990 33.1821i 0.382412 1.12304i
\(874\) −7.39427 4.36321i −0.250115 0.147588i
\(875\) 29.2576 40.2179i 0.989086 1.35961i
\(876\) 44.7136 24.2873i 1.51073 0.820593i
\(877\) −14.7436 + 45.3762i −0.497857 + 1.53225i 0.314600 + 0.949224i \(0.398129\pi\)
−0.812457 + 0.583021i \(0.801871\pi\)
\(878\) −0.361563 0.833288i −0.0122022 0.0281221i
\(879\) 0.896495 + 0.661006i 0.0302380 + 0.0222952i
\(880\) 10.9186 + 38.5542i 0.368067 + 1.29966i
\(881\) −5.73525 7.89390i −0.193226 0.265952i 0.701401 0.712767i \(-0.252558\pi\)
−0.894626 + 0.446815i \(0.852558\pi\)
\(882\) −28.2254 + 46.3343i −0.950399 + 1.56016i
\(883\) 8.74515 + 12.0367i 0.294298 + 0.405066i 0.930404 0.366535i \(-0.119456\pi\)
−0.636106 + 0.771601i \(0.719456\pi\)
\(884\) 2.03313 + 1.90178i 0.0683817 + 0.0639637i
\(885\) −7.54396 + 4.28315i −0.253587 + 0.143976i
\(886\) 7.60516 + 8.60939i 0.255500 + 0.289238i
\(887\) 11.8541 + 36.4832i 0.398022 + 1.22499i 0.926583 + 0.376091i \(0.122732\pi\)
−0.528561 + 0.848896i \(0.677268\pi\)
\(888\) 2.21720 0.634335i 0.0744042 0.0212869i
\(889\) −10.7277 + 33.0166i −0.359797 + 1.10734i
\(890\) 42.6489 + 14.3162i 1.42960 + 0.479882i
\(891\) 11.3781 + 38.6815i 0.381180 + 1.29588i
\(892\) −14.0125 + 29.9296i −0.469172 + 1.00212i
\(893\) 12.7763i 0.427543i
\(894\) 1.38655 + 15.6789i 0.0463731 + 0.524380i
\(895\) 45.6899 9.70197i 1.52724 0.324301i
\(896\) 17.3712 + 47.2344i 0.580332 + 1.57799i
\(897\) 10.9786 14.8898i 0.366565 0.497156i
\(898\) −30.9887 + 27.3741i −1.03411 + 0.913486i
\(899\) 9.60891 0.320475
\(900\) −8.31149 28.8257i −0.277050 0.960856i
\(901\) −0.877391 −0.0292301
\(902\) −39.3684 + 34.7763i −1.31082 + 1.15792i
\(903\) −24.9132 + 33.7888i −0.829061 + 1.12442i
\(904\) 11.1447 14.4549i 0.370666 0.480763i
\(905\) 1.19712 11.3676i 0.0397935 0.377870i
\(906\) 0.227157 + 2.56865i 0.00754677 + 0.0853377i
\(907\) 35.1157i 1.16600i −0.812473 0.582999i \(-0.801879\pi\)
0.812473 0.582999i \(-0.198121\pi\)
\(908\) 5.44178 + 2.54773i 0.180592 + 0.0845494i
\(909\) −19.1903 + 5.93877i −0.636503 + 0.196977i
\(910\) −47.7466 + 15.0034i −1.58279 + 0.497359i
\(911\) 5.07853 15.6301i 0.168259 0.517849i −0.831002 0.556269i \(-0.812233\pi\)
0.999262 + 0.0384202i \(0.0122325\pi\)
\(912\) 13.5598 + 3.52658i 0.449010 + 0.116777i
\(913\) −8.11728 24.9824i −0.268643 0.826797i
\(914\) −31.4475 35.6001i −1.04019 1.17755i
\(915\) 22.4627 + 2.52511i 0.742594 + 0.0834774i
\(916\) −5.49192 + 5.87124i −0.181458 + 0.193991i
\(917\) −30.5139 41.9988i −1.00766 1.38692i
\(918\) −1.51289 + 2.44475i −0.0499329 + 0.0806886i
\(919\) −27.9733 38.5019i −0.922752 1.27006i −0.962620 0.270855i \(-0.912694\pi\)
0.0398677 0.999205i \(-0.487306\pi\)
\(920\) 17.1162 + 8.21680i 0.564306 + 0.270900i
\(921\) −19.2063 14.1612i −0.632868 0.466628i
\(922\) −5.42364 12.4998i −0.178618 0.411658i
\(923\) 1.36024 4.18638i 0.0447727 0.137796i
\(924\) 32.9510 + 60.6637i 1.08401 + 1.99569i
\(925\) −2.15061 + 0.956463i −0.0707115 + 0.0314483i
\(926\) −34.6978 20.4745i −1.14024 0.672834i
\(927\) 18.0165 + 6.13487i 0.591739 + 0.201495i
\(928\) 44.2797 + 6.79167i 1.45355 + 0.222947i
\(929\) −26.4514 + 36.4072i −0.867841 + 1.19448i 0.111801 + 0.993731i \(0.464338\pi\)
−0.979642 + 0.200750i \(0.935662\pi\)
\(930\) −6.64500 0.111105i −0.217898 0.00364328i
\(931\) 15.2007 + 20.9219i 0.498181 + 0.685688i
\(932\) 16.4191 9.06831i 0.537826 0.297042i
\(933\) −17.5712 24.5452i −0.575255 0.803573i
\(934\) −30.7226 6.83580i −1.00527 0.223674i
\(935\) −1.59484 + 3.58011i −0.0521569 + 0.117082i
\(936\) −10.5413 + 28.2894i −0.344552 + 0.924669i
\(937\) 12.4640 + 38.3601i 0.407180 + 1.25317i 0.919062 + 0.394114i \(0.128949\pi\)
−0.511882 + 0.859056i \(0.671051\pi\)
\(938\) −50.4930 11.2347i −1.64865 0.366827i
\(939\) −32.9343 10.9572i −1.07477 0.357575i
\(940\) −2.41348 28.1504i −0.0787192 0.918166i
\(941\) 30.5127 9.91416i 0.994684 0.323192i 0.233945 0.972250i \(-0.424837\pi\)
0.760739 + 0.649058i \(0.224837\pi\)
\(942\) 12.9520 1.14540i 0.422000 0.0373192i
\(943\) 24.8893i 0.810508i
\(944\) 0.597513 + 8.93962i 0.0194474 + 0.290960i
\(945\) −24.8851 45.3001i −0.809512 1.47361i
\(946\) 13.7408 + 31.6682i 0.446752 + 1.02962i
\(947\) 16.2122 + 11.7788i 0.526825 + 0.382761i 0.819169 0.573552i \(-0.194435\pi\)
−0.292344 + 0.956313i \(0.594435\pi\)
\(948\) 34.0168 6.31061i 1.10481 0.204959i
\(949\) 52.2614 1.69648
\(950\) −14.2060 1.63548i −0.460902 0.0530621i
\(951\) 17.4203 + 0.122292i 0.564893 + 0.00396557i
\(952\) −1.65386 + 4.63635i −0.0536018 + 0.150265i
\(953\) 3.27873 4.51278i 0.106208 0.146183i −0.752604 0.658473i \(-0.771203\pi\)
0.858813 + 0.512290i \(0.171203\pi\)
\(954\) −3.66430 8.78064i −0.118636 0.284284i
\(955\) 32.0512 + 14.2780i 1.03715 + 0.462024i
\(956\) −2.80778 1.31454i −0.0908099 0.0425154i
\(957\) 61.4481 + 0.431369i 1.98634 + 0.0139442i
\(958\) −0.337222 3.53061i −0.0108951 0.114069i
\(959\) −26.9494 82.9416i −0.870241 2.67833i
\(960\) −30.5429 5.20874i −0.985768 0.168112i
\(961\) 9.12457 28.0825i 0.294341 0.905888i
\(962\) 2.31204 + 0.514431i 0.0745431 + 0.0165859i
\(963\) −5.66655 18.3107i −0.182602 0.590053i
\(964\) −2.41640 + 0.465848i −0.0778270 + 0.0150040i
\(965\) 6.72498 7.46579i 0.216485 0.240332i
\(966\) 31.8790 + 7.32835i 1.02569 + 0.235786i
\(967\) 4.24985 + 5.84941i 0.136666 + 0.188104i 0.871864 0.489747i \(-0.162911\pi\)
−0.735198 + 0.677852i \(0.762911\pi\)
\(968\) 25.6450 + 0.730701i 0.824262 + 0.0234856i
\(969\) 0.797697 + 1.11430i 0.0256257 + 0.0357965i
\(970\) 29.6805 + 22.0071i 0.952983 + 0.706605i
\(971\) −9.88213 7.17978i −0.317132 0.230410i 0.417818 0.908531i \(-0.362795\pi\)
−0.734951 + 0.678120i \(0.762795\pi\)
\(972\) −30.7846 4.93041i −0.987416 0.158143i
\(973\) −15.7093 + 48.3483i −0.503618 + 1.54998i
\(974\) −3.22546 1.90328i −0.103350 0.0609851i
\(975\) 6.62986 30.0904i 0.212325 0.963663i
\(976\) 12.4320 19.7600i 0.397940 0.632502i
\(977\) 25.4316 + 8.26323i 0.813629 + 0.264364i 0.686134 0.727475i \(-0.259306\pi\)
0.127495 + 0.991839i \(0.459306\pi\)
\(978\) 8.61120 3.66478i 0.275356 0.117187i
\(979\) 37.4621 51.5621i 1.19729 1.64793i
\(980\) −37.4443 43.2265i −1.19611 1.38082i
\(981\) 3.58216 2.52652i 0.114370 0.0806656i
\(982\) −1.14033 + 1.93250i −0.0363894 + 0.0616685i
\(983\) 45.1902 32.8326i 1.44134 1.04720i 0.453584 0.891213i \(-0.350145\pi\)
0.987760 0.155984i \(-0.0498549\pi\)
\(984\) −11.1722 39.0502i −0.356156 1.24487i
\(985\) −5.62138 26.4730i −0.179112 0.843500i
\(986\) 2.90083 + 3.28387i 0.0923812 + 0.104580i
\(987\) −14.7166 46.3987i −0.468434 1.47689i
\(988\) 10.5092 + 9.83022i 0.334342 + 0.312741i
\(989\) 15.5562 + 5.05452i 0.494659 + 0.160724i
\(990\) −42.4892 1.00882i −1.35040 0.0320624i
\(991\) −44.5837 + 14.4861i −1.41625 + 0.460167i −0.914408 0.404793i \(-0.867344\pi\)
−0.501840 + 0.864960i \(0.667344\pi\)
\(992\) −3.08623 + 6.13092i −0.0979879 + 0.194657i
\(993\) −3.54985 0.0249202i −0.112651 0.000790817i
\(994\) 7.74790 0.740030i 0.245749 0.0234723i
\(995\) −33.7885 30.4358i −1.07117 0.964878i
\(996\) 20.1380 + 2.64774i 0.638098 + 0.0838969i
\(997\) 15.0793 + 10.9558i 0.477566 + 0.346972i 0.800383 0.599489i \(-0.204630\pi\)
−0.322816 + 0.946462i \(0.604630\pi\)
\(998\) −25.1874 + 22.2494i −0.797293 + 0.704294i
\(999\) −0.0515094 + 2.44550i −0.00162968 + 0.0773722i
Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))

Twists

       By twisting character
Char Parity Ord Type Twist Min Dim
1.1 even 1 trivial 300.2.n.a.71.42 yes 224
3.2 odd 2 inner 300.2.n.a.71.15 yes 224
4.3 odd 2 inner 300.2.n.a.71.53 yes 224
12.11 even 2 inner 300.2.n.a.71.4 224
25.6 even 5 inner 300.2.n.a.131.4 yes 224
75.56 odd 10 inner 300.2.n.a.131.53 yes 224
100.31 odd 10 inner 300.2.n.a.131.15 yes 224
300.131 even 10 inner 300.2.n.a.131.42 yes 224
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
300.2.n.a.71.4 224 12.11 even 2 inner
300.2.n.a.71.15 yes 224 3.2 odd 2 inner
300.2.n.a.71.42 yes 224 1.1 even 1 trivial
300.2.n.a.71.53 yes 224 4.3 odd 2 inner
300.2.n.a.131.4 yes 224 25.6 even 5 inner
300.2.n.a.131.15 yes 224 100.31 odd 10 inner
300.2.n.a.131.42 yes 224 300.131 even 10 inner
300.2.n.a.131.53 yes 224 75.56 odd 10 inner