Properties

Label 912.2.cq.a.709.49
Level $912$
Weight $2$
Character 912.709
Analytic conductor $7.282$
Analytic rank $0$
Dimension $960$
CM no
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [912,2,Mod(61,912)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(912, base_ring=CyclotomicField(36))
 
chi = DirichletCharacter(H, H._module([0, 27, 0, 4]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("912.61");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 912 = 2^{4} \cdot 3 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 912.cq (of order \(36\), degree \(12\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(7.28235666434\)
Analytic rank: \(0\)
Dimension: \(960\)
Relative dimension: \(80\) over \(\Q(\zeta_{36})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{36}]$

Embedding invariants

Embedding label 709.49
Character \(\chi\) \(=\) 912.709
Dual form 912.2.cq.a.301.49

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.504420 - 1.32120i) q^{2} +(0.906308 - 0.422618i) q^{3} +(-1.49112 - 1.33288i) q^{4} +(-1.38500 + 1.97799i) q^{5} +(-0.101202 - 1.41059i) q^{6} +(2.46284 + 1.42192i) q^{7} +(-2.51314 + 1.29773i) q^{8} +(0.642788 - 0.766044i) q^{9} +O(q^{10})\) \(q+(0.504420 - 1.32120i) q^{2} +(0.906308 - 0.422618i) q^{3} +(-1.49112 - 1.33288i) q^{4} +(-1.38500 + 1.97799i) q^{5} +(-0.101202 - 1.41059i) q^{6} +(2.46284 + 1.42192i) q^{7} +(-2.51314 + 1.29773i) q^{8} +(0.642788 - 0.766044i) q^{9} +(1.91469 + 2.82760i) q^{10} +(-1.43877 + 5.36956i) q^{11} +(-1.91471 - 0.577822i) q^{12} +(0.0505500 - 0.108405i) q^{13} +(3.12095 - 2.53665i) q^{14} +(-0.419305 + 2.37799i) q^{15} +(0.446877 + 3.97496i) q^{16} +(-3.07985 + 2.58430i) q^{17} +(-0.687860 - 1.23566i) q^{18} +(-1.54375 + 4.07638i) q^{19} +(4.70162 - 1.10338i) q^{20} +(2.83303 + 0.247858i) q^{21} +(6.36850 + 4.60941i) q^{22} +(-4.53272 - 0.799241i) q^{23} +(-1.72924 + 2.23824i) q^{24} +(-0.284107 - 0.780577i) q^{25} +(-0.117726 - 0.121468i) q^{26} +(0.258819 - 0.965926i) q^{27} +(-1.77715 - 5.40293i) q^{28} +(0.781847 - 0.0684028i) q^{29} +(2.93029 + 1.75349i) q^{30} +(-0.212869 + 0.368700i) q^{31} +(5.47712 + 1.41464i) q^{32} +(0.965306 + 5.47452i) q^{33} +(1.86083 + 5.37267i) q^{34} +(-6.22359 + 2.90211i) q^{35} +(-1.97952 + 0.285507i) q^{36} +(4.65984 + 4.65984i) q^{37} +(4.60700 + 4.09580i) q^{38} -0.119612i q^{39} +(0.913812 - 6.76833i) q^{40} +(3.33429 - 9.16090i) q^{41} +(1.75650 - 3.61796i) q^{42} +(6.18629 - 8.83494i) q^{43} +(9.30234 - 6.08895i) q^{44} +(0.624965 + 2.33240i) q^{45} +(-3.34235 + 5.58546i) q^{46} +(-0.984944 - 0.826466i) q^{47} +(2.08490 + 3.41368i) q^{48} +(0.543733 + 0.941773i) q^{49} +(-1.17460 - 0.0183782i) q^{50} +(-1.69912 + 3.64378i) q^{51} +(-0.219867 + 0.0942677i) q^{52} +(-8.92980 + 6.25271i) q^{53} +(-1.14562 - 0.829184i) q^{54} +(-8.62823 - 10.2827i) q^{55} +(-8.03476 - 0.377388i) q^{56} +(0.323643 + 4.34687i) q^{57} +(0.304006 - 1.06748i) q^{58} +(14.5859 + 1.27610i) q^{59} +(3.79481 - 2.98699i) q^{60} +(3.14445 + 4.49075i) q^{61} +(0.379750 + 0.467222i) q^{62} +(2.67234 - 0.972653i) q^{63} +(4.63178 - 6.52277i) q^{64} +(0.144412 + 0.250128i) q^{65} +(7.71984 + 1.48610i) q^{66} +(2.52312 - 0.220745i) q^{67} +(8.03699 + 0.251559i) q^{68} +(-4.44582 + 1.19125i) q^{69} +(0.694948 + 9.68647i) q^{70} +(2.40804 - 0.424603i) q^{71} +(-0.621298 + 2.75935i) q^{72} +(4.13490 - 11.3605i) q^{73} +(8.50709 - 3.80605i) q^{74} +(-0.587374 - 0.587374i) q^{75} +(7.73522 - 4.02074i) q^{76} +(-11.1786 + 11.1786i) q^{77} +(-0.158030 - 0.0603345i) q^{78} +(-10.8797 - 3.95989i) q^{79} +(-8.48135 - 4.62141i) q^{80} +(-0.173648 - 0.984808i) q^{81} +(-10.4215 - 9.02620i) q^{82} +(0.247875 + 0.925082i) q^{83} +(-3.89402 - 4.14566i) q^{84} +(-0.846119 - 9.67118i) q^{85} +(-8.55219 - 12.6298i) q^{86} +(0.679686 - 0.392417i) q^{87} +(-3.35241 - 15.3616i) q^{88} +(4.98243 + 13.6891i) q^{89} +(3.39680 + 0.350809i) q^{90} +(0.278640 - 0.195106i) q^{91} +(5.69354 + 7.23333i) q^{92} +(-0.0371055 + 0.424118i) q^{93} +(-1.58875 + 0.884418i) q^{94} +(-5.92494 - 8.69931i) q^{95} +(5.56180 - 1.03263i) q^{96} +(-4.16989 + 3.49895i) q^{97} +(1.51854 - 0.243328i) q^{98} +(3.18850 + 4.55365i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 960 q+O(q^{10}) \) Copy content Toggle raw display \( 960 q + 24 q^{10} + 12 q^{16} - 144 q^{31} + 60 q^{32} + 120 q^{34} + 12 q^{36} - 228 q^{38} - 60 q^{40} - 60 q^{46} + 480 q^{49} + 36 q^{50} - 24 q^{51} - 48 q^{52} - 12 q^{54} - 72 q^{68} + 48 q^{69} - 72 q^{70} + 48 q^{76} + 72 q^{78} - 120 q^{80} - 120 q^{82} - 96 q^{85} - 168 q^{94} - 84 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/912\mathbb{Z}\right)^\times\).

\(n\) \(97\) \(229\) \(305\) \(799\)
\(\chi(n)\) \(e\left(\frac{7}{9}\right)\) \(e\left(\frac{1}{4}\right)\) \(1\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.504420 1.32120i 0.356679 0.934227i
\(3\) 0.906308 0.422618i 0.523257 0.243999i
\(4\) −1.49112 1.33288i −0.745560 0.666439i
\(5\) −1.38500 + 1.97799i −0.619392 + 0.884584i −0.999180 0.0404901i \(-0.987108\pi\)
0.379788 + 0.925074i \(0.375997\pi\)
\(6\) −0.101202 1.41059i −0.0413153 0.575870i
\(7\) 2.46284 + 1.42192i 0.930867 + 0.537437i 0.887086 0.461605i \(-0.152726\pi\)
0.0437816 + 0.999041i \(0.486059\pi\)
\(8\) −2.51314 + 1.29773i −0.888531 + 0.458817i
\(9\) 0.642788 0.766044i 0.214263 0.255348i
\(10\) 1.91469 + 2.82760i 0.605478 + 0.894165i
\(11\) −1.43877 + 5.36956i −0.433805 + 1.61898i 0.310104 + 0.950703i \(0.399636\pi\)
−0.743909 + 0.668280i \(0.767031\pi\)
\(12\) −1.91471 0.577822i −0.552730 0.166803i
\(13\) 0.0505500 0.108405i 0.0140201 0.0300661i −0.899173 0.437593i \(-0.855831\pi\)
0.913193 + 0.407527i \(0.133609\pi\)
\(14\) 3.12095 2.53665i 0.834109 0.677949i
\(15\) −0.419305 + 2.37799i −0.108264 + 0.613995i
\(16\) 0.446877 + 3.97496i 0.111719 + 0.993740i
\(17\) −3.07985 + 2.58430i −0.746974 + 0.626786i −0.934701 0.355436i \(-0.884333\pi\)
0.187727 + 0.982221i \(0.439888\pi\)
\(18\) −0.687860 1.23566i −0.162130 0.291247i
\(19\) −1.54375 + 4.07638i −0.354160 + 0.935185i
\(20\) 4.70162 1.10338i 1.05131 0.246723i
\(21\) 2.83303 + 0.247858i 0.618217 + 0.0540870i
\(22\) 6.36850 + 4.60941i 1.35777 + 0.982730i
\(23\) −4.53272 0.799241i −0.945138 0.166653i −0.320219 0.947343i \(-0.603757\pi\)
−0.624918 + 0.780690i \(0.714868\pi\)
\(24\) −1.72924 + 2.23824i −0.352979 + 0.456880i
\(25\) −0.284107 0.780577i −0.0568213 0.156115i
\(26\) −0.117726 0.121468i −0.0230879 0.0238219i
\(27\) 0.258819 0.965926i 0.0498097 0.185893i
\(28\) −1.77715 5.40293i −0.335849 1.02106i
\(29\) 0.781847 0.0684028i 0.145185 0.0127021i −0.0143313 0.999897i \(-0.504562\pi\)
0.159517 + 0.987195i \(0.449006\pi\)
\(30\) 2.93029 + 1.75349i 0.534996 + 0.320142i
\(31\) −0.212869 + 0.368700i −0.0382324 + 0.0662205i −0.884508 0.466524i \(-0.845506\pi\)
0.846276 + 0.532745i \(0.178839\pi\)
\(32\) 5.47712 + 1.41464i 0.968226 + 0.250075i
\(33\) 0.965306 + 5.47452i 0.168038 + 0.952992i
\(34\) 1.86083 + 5.37267i 0.319130 + 0.921405i
\(35\) −6.22359 + 2.90211i −1.05198 + 0.490546i
\(36\) −1.97952 + 0.285507i −0.329919 + 0.0475845i
\(37\) 4.65984 + 4.65984i 0.766073 + 0.766073i 0.977413 0.211339i \(-0.0677825\pi\)
−0.211339 + 0.977413i \(0.567783\pi\)
\(38\) 4.60700 + 4.09580i 0.747354 + 0.664426i
\(39\) 0.119612i 0.0191532i
\(40\) 0.913812 6.76833i 0.144486 1.07017i
\(41\) 3.33429 9.16090i 0.520729 1.43069i −0.348982 0.937130i \(-0.613472\pi\)
0.869711 0.493562i \(-0.164305\pi\)
\(42\) 1.75650 3.61796i 0.271035 0.558263i
\(43\) 6.18629 8.83494i 0.943400 1.34732i 0.00565758 0.999984i \(-0.498199\pi\)
0.937743 0.347331i \(-0.112912\pi\)
\(44\) 9.30234 6.08895i 1.40238 0.917944i
\(45\) 0.624965 + 2.33240i 0.0931642 + 0.347694i
\(46\) −3.34235 + 5.58546i −0.492803 + 0.823532i
\(47\) −0.984944 0.826466i −0.143669 0.120552i 0.568121 0.822945i \(-0.307671\pi\)
−0.711790 + 0.702393i \(0.752115\pi\)
\(48\) 2.08490 + 3.41368i 0.300929 + 0.492722i
\(49\) 0.543733 + 0.941773i 0.0776761 + 0.134539i
\(50\) −1.17460 0.0183782i −0.166114 0.00259906i
\(51\) −1.69912 + 3.64378i −0.237925 + 0.510231i
\(52\) −0.219867 + 0.0942677i −0.0304900 + 0.0130726i
\(53\) −8.92980 + 6.25271i −1.22660 + 0.858876i −0.993528 0.113583i \(-0.963767\pi\)
−0.233073 + 0.972459i \(0.574878\pi\)
\(54\) −1.14562 0.829184i −0.155900 0.112838i
\(55\) −8.62823 10.2827i −1.16343 1.38652i
\(56\) −8.03476 0.377388i −1.07369 0.0504306i
\(57\) 0.323643 + 4.34687i 0.0428675 + 0.575757i
\(58\) 0.304006 1.06748i 0.0399180 0.140167i
\(59\) 14.5859 + 1.27610i 1.89892 + 0.166134i 0.975843 0.218471i \(-0.0701068\pi\)
0.923081 + 0.384605i \(0.125662\pi\)
\(60\) 3.79481 2.98699i 0.489908 0.385619i
\(61\) 3.14445 + 4.49075i 0.402606 + 0.574981i 0.968349 0.249601i \(-0.0802994\pi\)
−0.565743 + 0.824582i \(0.691410\pi\)
\(62\) 0.379750 + 0.467222i 0.0482283 + 0.0593372i
\(63\) 2.67234 0.972653i 0.336683 0.122543i
\(64\) 4.63178 6.52277i 0.578973 0.815347i
\(65\) 0.144412 + 0.250128i 0.0179121 + 0.0310246i
\(66\) 7.71984 + 1.48610i 0.950247 + 0.182927i
\(67\) 2.52312 0.220745i 0.308249 0.0269683i 0.0680180 0.997684i \(-0.478332\pi\)
0.240231 + 0.970716i \(0.422777\pi\)
\(68\) 8.03699 + 0.251559i 0.974628 + 0.0305060i
\(69\) −4.44582 + 1.19125i −0.535213 + 0.143410i
\(70\) 0.694948 + 9.68647i 0.0830622 + 1.15776i
\(71\) 2.40804 0.424603i 0.285782 0.0503911i −0.0289195 0.999582i \(-0.509207\pi\)
0.314702 + 0.949191i \(0.398096\pi\)
\(72\) −0.621298 + 2.75935i −0.0732206 + 0.325192i
\(73\) 4.13490 11.3605i 0.483954 1.32965i −0.422123 0.906538i \(-0.638715\pi\)
0.906077 0.423113i \(-0.139063\pi\)
\(74\) 8.50709 3.80605i 0.988929 0.442444i
\(75\) −0.587374 0.587374i −0.0678241 0.0678241i
\(76\) 7.73522 4.02074i 0.887291 0.461211i
\(77\) −11.1786 + 11.1786i −1.27392 + 1.27392i
\(78\) −0.158030 0.0603345i −0.0178934 0.00683154i
\(79\) −10.8797 3.95989i −1.22406 0.445523i −0.352503 0.935811i \(-0.614669\pi\)
−0.871560 + 0.490288i \(0.836892\pi\)
\(80\) −8.48135 4.62141i −0.948244 0.516689i
\(81\) −0.173648 0.984808i −0.0192942 0.109423i
\(82\) −10.4215 9.02620i −1.15086 0.996777i
\(83\) 0.247875 + 0.925082i 0.0272078 + 0.101541i 0.978195 0.207691i \(-0.0665948\pi\)
−0.950987 + 0.309232i \(0.899928\pi\)
\(84\) −3.89402 4.14566i −0.424872 0.452329i
\(85\) −0.846119 9.67118i −0.0917745 1.04899i
\(86\) −8.55219 12.6298i −0.922207 1.36191i
\(87\) 0.679686 0.392417i 0.0728700 0.0420715i
\(88\) −3.35241 15.3616i −0.357368 1.63755i
\(89\) 4.98243 + 13.6891i 0.528136 + 1.45104i 0.861262 + 0.508161i \(0.169674\pi\)
−0.333126 + 0.942882i \(0.608103\pi\)
\(90\) 3.39680 + 0.350809i 0.358055 + 0.0369785i
\(91\) 0.278640 0.195106i 0.0292094 0.0204527i
\(92\) 5.69354 + 7.23333i 0.593593 + 0.754126i
\(93\) −0.0371055 + 0.424118i −0.00384766 + 0.0439790i
\(94\) −1.58875 + 0.884418i −0.163867 + 0.0912207i
\(95\) −5.92494 8.69931i −0.607886 0.892530i
\(96\) 5.56180 1.03263i 0.567649 0.105393i
\(97\) −4.16989 + 3.49895i −0.423388 + 0.355265i −0.829450 0.558581i \(-0.811346\pi\)
0.406062 + 0.913845i \(0.366902\pi\)
\(98\) 1.51854 0.243328i 0.153395 0.0245799i
\(99\) 3.18850 + 4.55365i 0.320456 + 0.457659i
\(100\) −0.616776 + 1.54261i −0.0616776 + 0.154261i
\(101\) −3.44804 1.60785i −0.343092 0.159987i 0.243432 0.969918i \(-0.421727\pi\)
−0.586525 + 0.809931i \(0.699504\pi\)
\(102\) 3.95707 + 4.08287i 0.391809 + 0.404264i
\(103\) −11.5480 + 6.66725i −1.13786 + 0.656943i −0.945900 0.324459i \(-0.894818\pi\)
−0.191960 + 0.981403i \(0.561484\pi\)
\(104\) 0.0136410 + 0.338037i 0.00133761 + 0.0331473i
\(105\) −4.41401 + 5.26041i −0.430763 + 0.513363i
\(106\) 3.75669 + 14.9520i 0.364882 + 1.45227i
\(107\) 4.38858 1.17592i 0.424260 0.113680i −0.0403704 0.999185i \(-0.512854\pi\)
0.464631 + 0.885505i \(0.346187\pi\)
\(108\) −1.67339 + 1.09534i −0.161022 + 0.105399i
\(109\) −1.69053 1.18372i −0.161923 0.113380i 0.489806 0.871831i \(-0.337067\pi\)
−0.651730 + 0.758451i \(0.725956\pi\)
\(110\) −17.9378 + 6.21277i −1.71030 + 0.592364i
\(111\) 6.19259 + 2.25392i 0.587774 + 0.213932i
\(112\) −4.55150 + 10.4251i −0.430076 + 0.985082i
\(113\) −8.78131 −0.826077 −0.413038 0.910714i \(-0.635532\pi\)
−0.413038 + 0.910714i \(0.635532\pi\)
\(114\) 5.90632 + 1.76505i 0.553177 + 0.165312i
\(115\) 7.85872 7.85872i 0.732830 0.732830i
\(116\) −1.25700 0.940110i −0.116710 0.0872870i
\(117\) −0.0505500 0.108405i −0.00467335 0.0100220i
\(118\) 9.04342 18.6272i 0.832514 1.71477i
\(119\) −11.2599 + 1.98542i −1.03219 + 0.182003i
\(120\) −2.03223 6.52039i −0.185516 0.595227i
\(121\) −17.2358 9.95111i −1.56689 0.904646i
\(122\) 7.51928 1.88922i 0.680764 0.171042i
\(123\) −0.849666 9.71172i −0.0766118 0.875677i
\(124\) 0.808845 0.266048i 0.0726364 0.0238918i
\(125\) −9.72454 2.60568i −0.869789 0.233059i
\(126\) 0.0629185 4.02131i 0.00560523 0.358247i
\(127\) 13.2833 4.83473i 1.17870 0.429013i 0.322959 0.946413i \(-0.395322\pi\)
0.855744 + 0.517400i \(0.173100\pi\)
\(128\) −6.28150 9.40972i −0.555211 0.831709i
\(129\) 1.87288 10.6216i 0.164898 0.935181i
\(130\) 0.403313 0.0646263i 0.0353729 0.00566811i
\(131\) −0.216683 + 2.47669i −0.0189316 + 0.216390i 0.980836 + 0.194835i \(0.0624171\pi\)
−0.999768 + 0.0215547i \(0.993138\pi\)
\(132\) 5.85748 9.44980i 0.509828 0.822500i
\(133\) −9.59830 + 7.84439i −0.832278 + 0.680195i
\(134\) 0.981068 3.44489i 0.0847514 0.297593i
\(135\) 1.55213 + 1.84975i 0.133586 + 0.159201i
\(136\) 4.38638 10.4916i 0.376129 0.899643i
\(137\) 5.50174 + 0.970106i 0.470046 + 0.0828818i 0.403654 0.914912i \(-0.367740\pi\)
0.0663921 + 0.997794i \(0.478851\pi\)
\(138\) −0.668682 + 6.47469i −0.0569220 + 0.551162i
\(139\) 10.4873 + 4.89032i 0.889523 + 0.414791i 0.812991 0.582276i \(-0.197838\pi\)
0.0765317 + 0.997067i \(0.475615\pi\)
\(140\) 13.1483 + 3.96789i 1.11123 + 0.335348i
\(141\) −1.24194 0.332777i −0.104590 0.0280249i
\(142\) 0.653682 3.39568i 0.0548558 0.284959i
\(143\) 0.509357 + 0.427401i 0.0425945 + 0.0357411i
\(144\) 3.33224 + 2.21273i 0.277687 + 0.184394i
\(145\) −0.947561 + 1.64122i −0.0786906 + 0.136296i
\(146\) −12.9238 11.1935i −1.06958 0.926381i
\(147\) 0.890800 + 0.623745i 0.0734719 + 0.0514456i
\(148\) −0.737387 13.1594i −0.0606128 1.08169i
\(149\) 0.816251 + 1.75046i 0.0668699 + 0.143403i 0.936902 0.349592i \(-0.113680\pi\)
−0.870032 + 0.492995i \(0.835902\pi\)
\(150\) −1.07232 + 0.479753i −0.0875546 + 0.0391717i
\(151\) 15.2417i 1.24035i 0.784463 + 0.620176i \(0.212939\pi\)
−0.784463 + 0.620176i \(0.787061\pi\)
\(152\) −1.41039 12.2479i −0.114398 0.993435i
\(153\) 4.02046i 0.325035i
\(154\) 9.13038 + 20.4078i 0.735747 + 1.64451i
\(155\) −0.434460 0.931703i −0.0348967 0.0748362i
\(156\) −0.159428 + 0.178355i −0.0127644 + 0.0142798i
\(157\) 0.664175 + 0.465060i 0.0530069 + 0.0371158i 0.599780 0.800165i \(-0.295255\pi\)
−0.546773 + 0.837281i \(0.684144\pi\)
\(158\) −10.7197 + 12.3768i −0.852817 + 0.984644i
\(159\) −5.45063 + 9.44077i −0.432263 + 0.748702i
\(160\) −10.3840 + 8.87440i −0.820924 + 0.701583i
\(161\) −10.0269 8.41359i −0.790233 0.663084i
\(162\) −1.38872 0.267334i −0.109108 0.0210037i
\(163\) 21.8319 + 5.84983i 1.71000 + 0.458194i 0.975425 0.220330i \(-0.0707134\pi\)
0.734578 + 0.678524i \(0.237380\pi\)
\(164\) −17.1822 + 9.21579i −1.34170 + 0.719632i
\(165\) −12.1655 5.67286i −0.947083 0.441632i
\(166\) 1.34725 + 0.139139i 0.104567 + 0.0107993i
\(167\) 10.8854 + 1.91939i 0.842336 + 0.148527i 0.578135 0.815941i \(-0.303781\pi\)
0.264201 + 0.964468i \(0.414892\pi\)
\(168\) −7.44145 + 3.05361i −0.574121 + 0.235591i
\(169\) 8.34704 + 9.94762i 0.642080 + 0.765201i
\(170\) −13.2043 3.76045i −1.01273 0.288414i
\(171\) 2.13039 + 3.80282i 0.162915 + 0.290809i
\(172\) −21.0004 + 4.92839i −1.60126 + 0.375786i
\(173\) −1.35778 + 15.5195i −0.103230 + 1.17992i 0.751098 + 0.660191i \(0.229524\pi\)
−0.854328 + 0.519734i \(0.826031\pi\)
\(174\) −0.175612 1.09594i −0.0133131 0.0830831i
\(175\) 0.410210 2.32642i 0.0310090 0.175861i
\(176\) −21.9867 3.31951i −1.65731 0.250218i
\(177\) 13.7586 5.00773i 1.03416 0.376404i
\(178\) 20.5992 + 0.322301i 1.54398 + 0.0241575i
\(179\) 3.21549 + 0.861588i 0.240337 + 0.0643981i 0.376977 0.926223i \(-0.376964\pi\)
−0.136640 + 0.990621i \(0.543630\pi\)
\(180\) 2.17691 4.31089i 0.162257 0.321315i
\(181\) −1.67939 19.1955i −0.124828 1.42679i −0.757735 0.652562i \(-0.773694\pi\)
0.632907 0.774228i \(-0.281862\pi\)
\(182\) −0.117222 0.466554i −0.00868904 0.0345833i
\(183\) 4.74771 + 2.74109i 0.350961 + 0.202627i
\(184\) 12.4286 3.87365i 0.916247 0.285569i
\(185\) −15.6710 + 2.76322i −1.15216 + 0.203156i
\(186\) 0.541627 + 0.262958i 0.0397140 + 0.0192810i
\(187\) −9.44537 20.2557i −0.690714 1.48124i
\(188\) 0.367092 + 2.54517i 0.0267729 + 0.185625i
\(189\) 2.01090 2.01090i 0.146272 0.146272i
\(190\) −14.4821 + 3.43990i −1.05065 + 0.249556i
\(191\) 11.0289 0.798026 0.399013 0.916945i \(-0.369353\pi\)
0.399013 + 0.916945i \(0.369353\pi\)
\(192\) 1.44118 7.86912i 0.104008 0.567905i
\(193\) 10.6588 + 3.87949i 0.767237 + 0.279252i 0.695840 0.718196i \(-0.255032\pi\)
0.0713970 + 0.997448i \(0.477254\pi\)
\(194\) 2.51943 + 7.27419i 0.180884 + 0.522256i
\(195\) 0.236590 + 0.165662i 0.0169426 + 0.0118633i
\(196\) 0.444497 2.12903i 0.0317498 0.152073i
\(197\) −23.1323 + 6.19829i −1.64811 + 0.441610i −0.959083 0.283126i \(-0.908629\pi\)
−0.689027 + 0.724735i \(0.741962\pi\)
\(198\) 7.62461 1.91568i 0.541857 0.136141i
\(199\) 4.68548 5.58393i 0.332145 0.395834i −0.573963 0.818881i \(-0.694595\pi\)
0.906108 + 0.423046i \(0.139039\pi\)
\(200\) 1.72698 + 1.59301i 0.122116 + 0.112643i
\(201\) 2.19344 1.26638i 0.154713 0.0893236i
\(202\) −3.86354 + 3.74450i −0.271838 + 0.263462i
\(203\) 2.02283 + 0.943262i 0.141975 + 0.0662040i
\(204\) 7.39030 3.16859i 0.517424 0.221846i
\(205\) 13.5021 + 19.2831i 0.943031 + 1.34679i
\(206\) 2.98369 + 18.6203i 0.207884 + 1.29734i
\(207\) −3.52583 + 2.95852i −0.245062 + 0.205632i
\(208\) 0.453495 + 0.152491i 0.0314442 + 0.0105733i
\(209\) −19.6673 14.1542i −1.36041 0.979066i
\(210\) 4.72352 + 8.48523i 0.325954 + 0.585536i
\(211\) 1.39105 15.8998i 0.0957641 1.09459i −0.784508 0.620119i \(-0.787084\pi\)
0.880272 0.474470i \(-0.157360\pi\)
\(212\) 21.6495 + 2.57878i 1.48689 + 0.177111i
\(213\) 2.00298 1.40250i 0.137242 0.0960980i
\(214\) 0.660073 6.39133i 0.0451217 0.436903i
\(215\) 8.90738 + 24.4728i 0.607478 + 1.66903i
\(216\) 0.603063 + 2.76339i 0.0410332 + 0.188025i
\(217\) −1.04853 + 0.605367i −0.0711786 + 0.0410950i
\(218\) −2.41666 + 1.63643i −0.163677 + 0.110833i
\(219\) −1.05368 12.0436i −0.0712012 0.813834i
\(220\) −0.839882 + 26.8331i −0.0566248 + 1.80909i
\(221\) 0.124464 + 0.464508i 0.00837239 + 0.0312462i
\(222\) 6.10153 7.04470i 0.409508 0.472809i
\(223\) 3.14377 + 17.8292i 0.210522 + 1.19393i 0.888510 + 0.458857i \(0.151741\pi\)
−0.677988 + 0.735073i \(0.737148\pi\)
\(224\) 11.4778 + 11.2721i 0.766891 + 0.753147i
\(225\) −0.780577 0.284107i −0.0520384 0.0189404i
\(226\) −4.42948 + 11.6018i −0.294644 + 0.771743i
\(227\) −2.67753 + 2.67753i −0.177714 + 0.177714i −0.790358 0.612645i \(-0.790106\pi\)
0.612645 + 0.790358i \(0.290106\pi\)
\(228\) 5.31125 6.91308i 0.351746 0.457830i
\(229\) −0.930267 0.930267i −0.0614738 0.0614738i 0.675702 0.737175i \(-0.263841\pi\)
−0.737175 + 0.675702i \(0.763841\pi\)
\(230\) −6.41882 14.3470i −0.423244 0.946014i
\(231\) −5.40695 + 14.8555i −0.355752 + 0.977419i
\(232\) −1.87613 + 1.18653i −0.123174 + 0.0778998i
\(233\) 2.58098 0.455096i 0.169085 0.0298143i −0.0884644 0.996079i \(-0.528196\pi\)
0.257550 + 0.966265i \(0.417085\pi\)
\(234\) −0.168723 + 0.0121049i −0.0110297 + 0.000791320i
\(235\) 2.99889 0.803550i 0.195626 0.0524178i
\(236\) −20.0485 21.3441i −1.30504 1.38938i
\(237\) −11.5339 + 1.00908i −0.749207 + 0.0655471i
\(238\) −3.05658 + 15.8780i −0.198129 + 1.02922i
\(239\) −5.91220 10.2402i −0.382429 0.662386i 0.608980 0.793186i \(-0.291579\pi\)
−0.991409 + 0.130799i \(0.958246\pi\)
\(240\) −9.63981 0.604047i −0.622247 0.0389911i
\(241\) 0.0405347 0.0147534i 0.00261107 0.000950351i −0.340714 0.940167i \(-0.610669\pi\)
0.343325 + 0.939217i \(0.388447\pi\)
\(242\) −21.8415 + 17.7524i −1.40402 + 1.14117i
\(243\) −0.573576 0.819152i −0.0367949 0.0525486i
\(244\) 1.29685 10.8874i 0.0830226 0.696995i
\(245\) −2.61589 0.228861i −0.167123 0.0146214i
\(246\) −13.2597 3.77622i −0.845407 0.240763i
\(247\) 0.363863 + 0.373411i 0.0231520 + 0.0237595i
\(248\) 0.0564969 1.20284i 0.00358755 0.0763806i
\(249\) 0.615607 + 0.733652i 0.0390125 + 0.0464933i
\(250\) −8.34788 + 11.5337i −0.527966 + 0.729453i
\(251\) 19.5255 13.6719i 1.23244 0.862965i 0.238315 0.971188i \(-0.423405\pi\)
0.994127 + 0.108223i \(0.0345160\pi\)
\(252\) −5.28121 2.11156i −0.332685 0.133016i
\(253\) 10.8131 23.1888i 0.679815 1.45787i
\(254\) 0.312747 19.9886i 0.0196235 1.25420i
\(255\) −4.85406 8.40748i −0.303973 0.526497i
\(256\) −15.6006 + 3.55264i −0.975038 + 0.222040i
\(257\) −5.50487 4.61913i −0.343384 0.288134i 0.454743 0.890623i \(-0.349731\pi\)
−0.798127 + 0.602489i \(0.794176\pi\)
\(258\) −13.0885 7.83219i −0.814855 0.487611i
\(259\) 4.85052 + 18.1024i 0.301397 + 1.12483i
\(260\) 0.118055 0.565455i 0.00732148 0.0350680i
\(261\) 0.450162 0.642898i 0.0278643 0.0397944i
\(262\) 3.16290 + 1.53558i 0.195405 + 0.0948681i
\(263\) 9.64099 26.4884i 0.594489 1.63335i −0.167587 0.985857i \(-0.553597\pi\)
0.762076 0.647488i \(-0.224180\pi\)
\(264\) −9.53042 12.5056i −0.586557 0.769664i
\(265\) 26.3231i 1.61701i
\(266\) 5.52240 + 16.6381i 0.338600 + 1.02015i
\(267\) 10.3009 + 10.3009i 0.630404 + 0.630404i
\(268\) −4.05651 3.03386i −0.247790 0.185322i
\(269\) 18.2862 8.52701i 1.11493 0.519901i 0.224251 0.974531i \(-0.428006\pi\)
0.890680 + 0.454631i \(0.150229\pi\)
\(270\) 3.22681 1.11761i 0.196377 0.0680156i
\(271\) −4.07452 23.1078i −0.247510 1.40370i −0.814591 0.580036i \(-0.803039\pi\)
0.567081 0.823662i \(-0.308072\pi\)
\(272\) −11.6488 11.0874i −0.706313 0.672274i
\(273\) 0.170078 0.294585i 0.0102936 0.0178291i
\(274\) 4.05689 6.77954i 0.245086 0.409567i
\(275\) 4.60012 0.402458i 0.277397 0.0242691i
\(276\) 8.21704 + 4.14942i 0.494608 + 0.249766i
\(277\) −7.11564 + 26.5559i −0.427537 + 1.59559i 0.330782 + 0.943707i \(0.392688\pi\)
−0.758319 + 0.651883i \(0.773979\pi\)
\(278\) 11.7511 11.3890i 0.704784 0.683069i
\(279\) 0.145611 + 0.400063i 0.00871750 + 0.0239511i
\(280\) 11.8746 15.3700i 0.709645 0.918532i
\(281\) −7.45389 1.31432i −0.444662 0.0784059i −0.0531659 0.998586i \(-0.516931\pi\)
−0.391496 + 0.920180i \(0.628042\pi\)
\(282\) −1.06612 + 1.47299i −0.0634868 + 0.0877152i
\(283\) −24.1489 2.11275i −1.43550 0.125590i −0.657312 0.753619i \(-0.728307\pi\)
−0.778190 + 0.628029i \(0.783862\pi\)
\(284\) −4.15662 2.57649i −0.246650 0.152887i
\(285\) −9.04630 5.38026i −0.535857 0.318699i
\(286\) 0.821611 0.457370i 0.0485828 0.0270449i
\(287\) 21.2379 17.8207i 1.25364 1.05193i
\(288\) 4.60430 3.28640i 0.271311 0.193653i
\(289\) −0.145149 + 0.823179i −0.00853816 + 0.0484223i
\(290\) 1.69041 + 2.07978i 0.0992643 + 0.122129i
\(291\) −2.30048 + 4.93340i −0.134857 + 0.289201i
\(292\) −21.3078 + 11.4286i −1.24695 + 0.668810i
\(293\) −8.71226 + 32.5146i −0.508975 + 1.89952i −0.0785144 + 0.996913i \(0.525018\pi\)
−0.430461 + 0.902609i \(0.641649\pi\)
\(294\) 1.27343 0.862292i 0.0742678 0.0502899i
\(295\) −22.7257 + 27.0834i −1.32314 + 1.57686i
\(296\) −17.7581 5.66363i −1.03217 0.329192i
\(297\) 4.81421 + 2.77949i 0.279349 + 0.161282i
\(298\) 2.72443 0.195462i 0.157822 0.0113228i
\(299\) −0.315771 + 0.450968i −0.0182615 + 0.0260801i
\(300\) 0.0929477 + 1.65874i 0.00536634 + 0.0957675i
\(301\) 27.7985 12.9626i 1.60228 0.747154i
\(302\) 20.1373 + 7.68822i 1.15877 + 0.442407i
\(303\) −3.80449 −0.218562
\(304\) −16.8933 4.31469i −0.968897 0.247464i
\(305\) −13.2377 −0.757990
\(306\) 5.31182 + 2.02800i 0.303657 + 0.115933i
\(307\) −1.66024 + 0.774184i −0.0947550 + 0.0441850i −0.469418 0.882976i \(-0.655536\pi\)
0.374663 + 0.927161i \(0.377758\pi\)
\(308\) 31.5682 1.76893i 1.79877 0.100794i
\(309\) −7.64835 + 10.9230i −0.435100 + 0.621387i
\(310\) −1.45011 + 0.104037i −0.0823609 + 0.00590892i
\(311\) −23.7241 13.6971i −1.34527 0.776691i −0.357694 0.933839i \(-0.616437\pi\)
−0.987575 + 0.157148i \(0.949770\pi\)
\(312\) 0.155224 + 0.300601i 0.00878781 + 0.0170182i
\(313\) −5.50793 + 6.56409i −0.311326 + 0.371024i −0.898906 0.438142i \(-0.855637\pi\)
0.587579 + 0.809167i \(0.300081\pi\)
\(314\) 0.949459 0.642919i 0.0535811 0.0362820i
\(315\) −1.77730 + 6.63299i −0.100140 + 0.373727i
\(316\) 10.9449 + 20.4060i 0.615699 + 1.14793i
\(317\) 4.03378 8.65046i 0.226560 0.485858i −0.759864 0.650083i \(-0.774734\pi\)
0.986423 + 0.164224i \(0.0525120\pi\)
\(318\) 9.72371 + 11.9635i 0.545278 + 0.670879i
\(319\) −0.757605 + 4.29659i −0.0424177 + 0.240563i
\(320\) 6.48694 + 18.1957i 0.362631 + 1.01717i
\(321\) 3.48044 2.92044i 0.194259 0.163003i
\(322\) −16.1738 + 9.00355i −0.901330 + 0.501748i
\(323\) −5.78009 16.5442i −0.321613 0.920541i
\(324\) −1.05370 + 1.69992i −0.0585387 + 0.0944399i
\(325\) −0.0989799 0.00865962i −0.00549042 0.000480349i
\(326\) 18.7412 25.8934i 1.03798 1.43410i
\(327\) −2.03240 0.358367i −0.112392 0.0198177i
\(328\) 3.50883 + 27.3497i 0.193743 + 1.51013i
\(329\) −1.25059 3.43597i −0.0689473 0.189431i
\(330\) −13.6315 + 13.2115i −0.750389 + 0.727269i
\(331\) 4.40521 16.4405i 0.242132 0.903649i −0.732671 0.680583i \(-0.761727\pi\)
0.974803 0.223066i \(-0.0716067\pi\)
\(332\) 0.863409 1.70979i 0.0473857 0.0938372i
\(333\) 6.56494 0.574357i 0.359756 0.0314746i
\(334\) 8.02669 13.4135i 0.439201 0.733956i
\(335\) −3.05790 + 5.29644i −0.167071 + 0.289376i
\(336\) 0.280791 + 11.3719i 0.0153184 + 0.620389i
\(337\) 4.66368 + 26.4491i 0.254047 + 1.44077i 0.798507 + 0.601986i \(0.205624\pi\)
−0.544460 + 0.838787i \(0.683265\pi\)
\(338\) 17.3532 6.01030i 0.943888 0.326917i
\(339\) −7.95857 + 3.71114i −0.432250 + 0.201562i
\(340\) −11.6288 + 15.5487i −0.630662 + 0.843245i
\(341\) −1.67349 1.67349i −0.0906244 0.0906244i
\(342\) 6.09889 0.896436i 0.329790 0.0484737i
\(343\) 16.8143i 0.907889i
\(344\) −4.08166 + 30.2316i −0.220068 + 1.62998i
\(345\) 3.80118 10.4437i 0.204649 0.562268i
\(346\) 19.8194 + 9.62224i 1.06550 + 0.517295i
\(347\) 9.06896 12.9518i 0.486847 0.695290i −0.498299 0.867005i \(-0.666042\pi\)
0.985147 + 0.171715i \(0.0549308\pi\)
\(348\) −1.53654 0.320797i −0.0823670 0.0171965i
\(349\) −1.08849 4.06229i −0.0582653 0.217449i 0.930655 0.365899i \(-0.119238\pi\)
−0.988920 + 0.148450i \(0.952572\pi\)
\(350\) −2.86673 1.71546i −0.153233 0.0916952i
\(351\) −0.0916278 0.0768848i −0.00489073 0.00410381i
\(352\) −15.4763 + 27.3744i −0.824889 + 1.45906i
\(353\) −0.586997 1.01671i −0.0312427 0.0541139i 0.849981 0.526813i \(-0.176613\pi\)
−0.881224 + 0.472699i \(0.843280\pi\)
\(354\) 0.323938 20.7039i 0.0172171 1.10040i
\(355\) −2.49529 + 5.35116i −0.132436 + 0.284010i
\(356\) 10.8165 27.0531i 0.573274 1.43381i
\(357\) −9.36584 + 6.55803i −0.495693 + 0.347088i
\(358\) 2.76029 3.81369i 0.145886 0.201560i
\(359\) 0.251080 + 0.299226i 0.0132515 + 0.0157925i 0.772629 0.634857i \(-0.218941\pi\)
−0.759378 + 0.650650i \(0.774497\pi\)
\(360\) −4.59746 5.05062i −0.242307 0.266191i
\(361\) −14.2337 12.5858i −0.749142 0.662409i
\(362\) −26.2081 7.46380i −1.37747 0.392289i
\(363\) −19.8265 1.73459i −1.04062 0.0910425i
\(364\) −0.675538 0.0804668i −0.0354078 0.00421760i
\(365\) 16.7442 + 23.9132i 0.876431 + 1.25167i
\(366\) 6.01637 4.89000i 0.314481 0.255604i
\(367\) −8.23760 + 2.99824i −0.429999 + 0.156507i −0.547947 0.836513i \(-0.684591\pi\)
0.117948 + 0.993020i \(0.462368\pi\)
\(368\) 1.15138 18.3745i 0.0600199 0.957840i
\(369\) −4.87441 8.44273i −0.253752 0.439511i
\(370\) −4.25402 + 22.0983i −0.221156 + 1.14884i
\(371\) −30.8836 + 2.70196i −1.60339 + 0.140279i
\(372\) 0.620626 0.582954i 0.0321780 0.0302248i
\(373\) 14.4599 3.87451i 0.748704 0.200615i 0.135761 0.990742i \(-0.456652\pi\)
0.612943 + 0.790127i \(0.289985\pi\)
\(374\) −31.5262 + 2.26182i −1.63018 + 0.116956i
\(375\) −9.91464 + 1.74822i −0.511990 + 0.0902776i
\(376\) 3.54784 + 0.798835i 0.182966 + 0.0411968i
\(377\) 0.0321072 0.0882138i 0.00165361 0.00454324i
\(378\) −1.64246 3.67114i −0.0844789 0.188823i
\(379\) 4.72675 + 4.72675i 0.242797 + 0.242797i 0.818006 0.575209i \(-0.195079\pi\)
−0.575209 + 0.818006i \(0.695079\pi\)
\(380\) −2.76031 + 20.8689i −0.141601 + 1.07055i
\(381\) 9.99552 9.99552i 0.512086 0.512086i
\(382\) 5.56322 14.5714i 0.284639 0.745538i
\(383\) 27.0875 + 9.85903i 1.38411 + 0.503773i 0.923420 0.383791i \(-0.125382\pi\)
0.460685 + 0.887564i \(0.347604\pi\)
\(384\) −9.66969 5.87342i −0.493454 0.299727i
\(385\) −6.62873 37.5934i −0.337832 1.91594i
\(386\) 10.5021 12.1255i 0.534542 0.617171i
\(387\) −2.79148 10.4180i −0.141899 0.529575i
\(388\) 10.8815 + 0.340592i 0.552423 + 0.0172909i
\(389\) 2.31489 + 26.4594i 0.117370 + 1.34154i 0.795210 + 0.606334i \(0.207361\pi\)
−0.677840 + 0.735209i \(0.737084\pi\)
\(390\) 0.338213 0.229019i 0.0171261 0.0115968i
\(391\) 16.0256 9.25239i 0.810449 0.467913i
\(392\) −2.58865 1.66119i −0.130746 0.0839029i
\(393\) 0.850315 + 2.33622i 0.0428927 + 0.117847i
\(394\) −3.47926 + 33.6889i −0.175283 + 1.69722i
\(395\) 22.9011 16.0355i 1.15228 0.806833i
\(396\) 1.31502 11.0399i 0.0660822 0.554776i
\(397\) 0.198757 2.27181i 0.00997534 0.114019i −0.989574 0.144022i \(-0.953996\pi\)
0.999550 + 0.0300036i \(0.00955187\pi\)
\(398\) −5.01402 9.00708i −0.251330 0.451484i
\(399\) −5.38383 + 11.1659i −0.269529 + 0.558992i
\(400\) 2.97580 1.47813i 0.148790 0.0739067i
\(401\) 25.6940 21.5598i 1.28310 1.07665i 0.290289 0.956939i \(-0.406249\pi\)
0.992809 0.119708i \(-0.0381958\pi\)
\(402\) −0.566724 3.53675i −0.0282656 0.176397i
\(403\) 0.0292084 + 0.0417139i 0.00145497 + 0.00207791i
\(404\) 2.99837 + 6.99330i 0.149175 + 0.347930i
\(405\) 2.18844 + 1.02049i 0.108745 + 0.0507084i
\(406\) 2.26659 2.19676i 0.112489 0.109023i
\(407\) −31.7257 + 18.3169i −1.57259 + 0.907933i
\(408\) −0.458509 11.3623i −0.0226996 0.562520i
\(409\) −6.67483 + 7.95475i −0.330049 + 0.393337i −0.905393 0.424574i \(-0.860424\pi\)
0.575344 + 0.817911i \(0.304868\pi\)
\(410\) 32.2875 8.11221i 1.59456 0.400634i
\(411\) 5.39626 1.44592i 0.266178 0.0713221i
\(412\) 26.1061 + 5.45042i 1.28615 + 0.268523i
\(413\) 34.1083 + 23.8829i 1.67836 + 1.17520i
\(414\) 2.13029 + 6.15066i 0.104698 + 0.302288i
\(415\) −2.17311 0.790947i −0.106674 0.0388261i
\(416\) 0.430222 0.522236i 0.0210934 0.0256047i
\(417\) 11.5715 0.566658
\(418\) −28.6210 + 18.8446i −1.39990 + 0.921721i
\(419\) 11.5406 11.5406i 0.563797 0.563797i −0.366587 0.930384i \(-0.619474\pi\)
0.930384 + 0.366587i \(0.119474\pi\)
\(420\) 13.5933 1.96057i 0.663285 0.0956661i
\(421\) 6.10504 + 13.0923i 0.297541 + 0.638080i 0.997067 0.0765275i \(-0.0243833\pi\)
−0.699526 + 0.714607i \(0.746606\pi\)
\(422\) −20.3051 9.85805i −0.988437 0.479882i
\(423\) −1.26622 + 0.223269i −0.0615657 + 0.0108557i
\(424\) 14.3275 27.3024i 0.695806 1.32592i
\(425\) 2.89225 + 1.66984i 0.140295 + 0.0809993i
\(426\) −0.842637 3.35379i −0.0408259 0.162491i
\(427\) 1.35880 + 15.5312i 0.0657570 + 0.751606i
\(428\) −8.11125 4.09601i −0.392072 0.197988i
\(429\) 0.642261 + 0.172093i 0.0310087 + 0.00830875i
\(430\) 36.8265 + 0.576196i 1.77593 + 0.0277866i
\(431\) 36.0433 13.1187i 1.73614 0.631905i 0.737107 0.675776i \(-0.236191\pi\)
0.999037 + 0.0438713i \(0.0139691\pi\)
\(432\) 3.95518 + 0.597145i 0.190293 + 0.0287301i
\(433\) 4.81165 27.2882i 0.231233 1.31139i −0.619169 0.785257i \(-0.712531\pi\)
0.850403 0.526132i \(-0.176358\pi\)
\(434\) 0.270911 + 1.69067i 0.0130041 + 0.0811547i
\(435\) −0.165171 + 1.88791i −0.00791933 + 0.0905184i
\(436\) 0.943026 + 4.01834i 0.0451628 + 0.192443i
\(437\) 10.2554 17.2433i 0.490581 0.824857i
\(438\) −16.4435 4.68294i −0.785701 0.223759i
\(439\) −20.1851 24.0556i −0.963380 1.14811i −0.988922 0.148438i \(-0.952575\pi\)
0.0255415 0.999674i \(-0.491869\pi\)
\(440\) 35.0282 + 14.6448i 1.66990 + 0.698165i
\(441\) 1.07094 + 0.188836i 0.0509974 + 0.00899221i
\(442\) 0.676488 + 0.0698652i 0.0321773 + 0.00332315i
\(443\) −6.25086 2.91482i −0.296987 0.138487i 0.268413 0.963304i \(-0.413501\pi\)
−0.565401 + 0.824816i \(0.691278\pi\)
\(444\) −6.22969 11.6148i −0.295648 0.551215i
\(445\) −33.9776 9.10427i −1.61069 0.431584i
\(446\) 25.1416 + 4.83987i 1.19049 + 0.229175i
\(447\) 1.47955 + 1.24149i 0.0699802 + 0.0587204i
\(448\) 20.6822 9.47853i 0.977144 0.447818i
\(449\) −10.8042 + 18.7134i −0.509880 + 0.883139i 0.490054 + 0.871692i \(0.336977\pi\)
−0.999934 + 0.0114466i \(0.996356\pi\)
\(450\) −0.769100 + 0.887986i −0.0362557 + 0.0418601i
\(451\) 44.3927 + 31.0841i 2.09037 + 1.46369i
\(452\) 13.0940 + 11.7044i 0.615890 + 0.550529i
\(453\) 6.44142 + 13.8137i 0.302644 + 0.649022i
\(454\) 2.18694 + 4.88814i 0.102638 + 0.229412i
\(455\) 0.821370i 0.0385064i
\(456\) −6.45443 10.5043i −0.302256 0.491909i
\(457\) 11.9271i 0.557924i −0.960302 0.278962i \(-0.910010\pi\)
0.960302 0.278962i \(-0.0899904\pi\)
\(458\) −1.69831 + 0.759819i −0.0793568 + 0.0355040i
\(459\) 1.69912 + 3.64378i 0.0793082 + 0.170077i
\(460\) −22.1930 + 1.24359i −1.03475 + 0.0579825i
\(461\) −5.55985 3.89305i −0.258948 0.181317i 0.436892 0.899514i \(-0.356079\pi\)
−0.695840 + 0.718196i \(0.744968\pi\)
\(462\) 16.8996 + 14.6371i 0.786242 + 0.680978i
\(463\) 12.4744 21.6063i 0.579735 1.00413i −0.415774 0.909468i \(-0.636489\pi\)
0.995509 0.0946627i \(-0.0301773\pi\)
\(464\) 0.621288 + 3.07724i 0.0288426 + 0.142857i
\(465\) −0.787510 0.660799i −0.0365199 0.0306438i
\(466\) 0.700627 3.63954i 0.0324559 0.168598i
\(467\) 26.6248 + 7.13411i 1.23205 + 0.330127i 0.815378 0.578929i \(-0.196529\pi\)
0.416673 + 0.909056i \(0.363196\pi\)
\(468\) −0.0691142 + 0.229022i −0.00319481 + 0.0105865i
\(469\) 6.52794 + 3.04403i 0.301432 + 0.140560i
\(470\) 0.451054 4.36745i 0.0208056 0.201455i
\(471\) 0.798489 + 0.140795i 0.0367924 + 0.00648750i
\(472\) −38.3125 + 15.7216i −1.76348 + 0.723644i
\(473\) 38.5391 + 45.9291i 1.77203 + 2.11182i
\(474\) −4.48473 + 15.7475i −0.205991 + 0.723308i
\(475\) 3.62051 + 0.0468861i 0.166121 + 0.00215128i
\(476\) 19.4362 + 12.0475i 0.890855 + 0.552198i
\(477\) −0.950108 + 10.8598i −0.0435025 + 0.497235i
\(478\) −16.5116 + 2.64580i −0.755223 + 0.121016i
\(479\) −2.98677 + 16.9388i −0.136469 + 0.773954i 0.837357 + 0.546657i \(0.184100\pi\)
−0.973826 + 0.227297i \(0.927011\pi\)
\(480\) −5.66058 + 12.4314i −0.258369 + 0.567413i
\(481\) 0.740705 0.269595i 0.0337732 0.0122925i
\(482\) 0.000954362 0.0609962i 4.34700e−5 0.00277830i
\(483\) −12.6432 3.38774i −0.575286 0.154148i
\(484\) 12.4371 + 37.8115i 0.565322 + 1.71871i
\(485\) −1.14558 13.0941i −0.0520182 0.594570i
\(486\) −1.37158 + 0.344610i −0.0622163 + 0.0156318i
\(487\) 3.72495 + 2.15060i 0.168794 + 0.0974531i 0.582017 0.813177i \(-0.302264\pi\)
−0.413223 + 0.910630i \(0.635597\pi\)
\(488\) −13.7302 7.20523i −0.621539 0.326165i
\(489\) 22.2586 3.92480i 1.00657 0.177485i
\(490\) −1.62188 + 3.34066i −0.0732690 + 0.150916i
\(491\) 5.34730 + 11.4673i 0.241320 + 0.517513i 0.989245 0.146271i \(-0.0467272\pi\)
−0.747924 + 0.663784i \(0.768949\pi\)
\(492\) −11.6776 + 15.6138i −0.526466 + 0.703926i
\(493\) −2.23120 + 2.23120i −0.100488 + 0.100488i
\(494\) 0.676889 0.292378i 0.0304547 0.0131547i
\(495\) −13.4231 −0.603325
\(496\) −1.56069 0.681382i −0.0700772 0.0305950i
\(497\) 6.53439 + 2.37832i 0.293107 + 0.106682i
\(498\) 1.27982 0.443269i 0.0573503 0.0198634i
\(499\) 29.8044 + 20.8693i 1.33423 + 0.934237i 0.999966 0.00824294i \(-0.00262384\pi\)
0.334263 + 0.942480i \(0.391513\pi\)
\(500\) 11.0274 + 16.8470i 0.493160 + 0.753421i
\(501\) 10.6767 2.86080i 0.476998 0.127811i
\(502\) −8.21423 32.6935i −0.366619 1.45918i
\(503\) 20.0420 23.8852i 0.893630 1.06499i −0.103889 0.994589i \(-0.533129\pi\)
0.997519 0.0703979i \(-0.0224269\pi\)
\(504\) −5.45374 + 5.91240i −0.242929 + 0.263359i
\(505\) 7.95584 4.59331i 0.354030 0.204399i
\(506\) −25.1826 25.9831i −1.11950 1.15509i
\(507\) 11.7690 + 5.48799i 0.522681 + 0.243730i
\(508\) −26.2511 10.4959i −1.16470 0.465678i
\(509\) −7.94711 11.3497i −0.352249 0.503064i 0.603453 0.797398i \(-0.293791\pi\)
−0.955703 + 0.294334i \(0.904902\pi\)
\(510\) −13.5564 + 2.17226i −0.600289 + 0.0961894i
\(511\) 26.3374 22.0997i 1.16510 0.977635i
\(512\) −3.17553 + 22.4035i −0.140340 + 0.990103i
\(513\) 3.53793 + 2.54619i 0.156203 + 0.112417i
\(514\) −8.87955 + 4.94303i −0.391660 + 0.218028i
\(515\) 2.80629 32.0760i 0.123660 1.41344i
\(516\) −16.9500 + 13.3418i −0.746181 + 0.587339i
\(517\) 5.85486 4.09962i 0.257497 0.180301i
\(518\) 26.3635 + 2.72273i 1.15835 + 0.119630i
\(519\) 5.32825 + 14.6393i 0.233884 + 0.642592i
\(520\) −0.687527 0.441201i −0.0301501 0.0193479i
\(521\) −19.7236 + 11.3874i −0.864106 + 0.498892i −0.865385 0.501107i \(-0.832926\pi\)
0.00127881 + 0.999999i \(0.499593\pi\)
\(522\) −0.622324 0.919044i −0.0272384 0.0402255i
\(523\) 1.54971 + 17.7133i 0.0677643 + 0.774549i 0.951718 + 0.306974i \(0.0993166\pi\)
−0.883953 + 0.467575i \(0.845128\pi\)
\(524\) 3.62423 3.40424i 0.158325 0.148715i
\(525\) −0.611410 2.28181i −0.0266841 0.0995864i
\(526\) −30.1333 26.0989i −1.31387 1.13797i
\(527\) −0.297227 1.68566i −0.0129474 0.0734285i
\(528\) −21.3296 + 6.28349i −0.928253 + 0.273454i
\(529\) −1.70615 0.620986i −0.0741803 0.0269994i
\(530\) −34.7779 13.2779i −1.51066 0.576755i
\(531\) 10.3532 10.3532i 0.449291 0.449291i
\(532\) 24.7678 + 1.09643i 1.07382 + 0.0475362i
\(533\) −0.824537 0.824537i −0.0357147 0.0357147i
\(534\) 18.8055 8.41351i 0.813792 0.364088i
\(535\) −3.75225 + 10.3092i −0.162224 + 0.445706i
\(536\) −6.05450 + 3.82910i −0.261515 + 0.165392i
\(537\) 3.27835 0.578061i 0.141471 0.0249452i
\(538\) −2.04190 28.4609i −0.0880328 1.22704i
\(539\) −5.83921 + 1.56461i −0.251513 + 0.0673926i
\(540\) 0.151086 4.82699i 0.00650169 0.207721i
\(541\) 13.0131 1.13850i 0.559479 0.0489480i 0.196090 0.980586i \(-0.437175\pi\)
0.363388 + 0.931638i \(0.381620\pi\)
\(542\) −32.5852 6.27279i −1.39965 0.269439i
\(543\) −9.63441 16.6873i −0.413452 0.716120i
\(544\) −20.5246 + 9.79765i −0.879984 + 0.420071i
\(545\) 4.68277 1.70439i 0.200588 0.0730080i
\(546\) −0.303413 0.373302i −0.0129849 0.0159758i
\(547\) 15.7402 + 22.4793i 0.673001 + 0.961145i 0.999871 + 0.0160757i \(0.00511727\pi\)
−0.326870 + 0.945069i \(0.605994\pi\)
\(548\) −6.91073 8.77969i −0.295212 0.375050i
\(549\) 5.46133 + 0.477804i 0.233084 + 0.0203922i
\(550\) 1.78867 6.28067i 0.0762690 0.267808i
\(551\) −0.928138 + 3.29270i −0.0395400 + 0.140274i
\(552\) 9.62705 8.76327i 0.409754 0.372989i
\(553\) −21.1644 25.2227i −0.900001 1.07258i
\(554\) 31.4963 + 22.7965i 1.33815 + 0.968531i
\(555\) −13.0350 + 9.12719i −0.553304 + 0.387427i
\(556\) −9.11966 21.2704i −0.386760 0.902064i
\(557\) −3.60265 + 7.72591i −0.152649 + 0.327357i −0.967730 0.251990i \(-0.918915\pi\)
0.815081 + 0.579348i \(0.196693\pi\)
\(558\) 0.602011 + 0.00941922i 0.0254852 + 0.000398747i
\(559\) −0.645033 1.11723i −0.0272820 0.0472538i
\(560\) −14.3169 23.4416i −0.605002 0.990590i
\(561\) −17.1208 14.3661i −0.722842 0.606537i
\(562\) −5.49637 + 9.18508i −0.231851 + 0.387449i
\(563\) −0.895528 3.34216i −0.0377420 0.140855i 0.944484 0.328558i \(-0.106563\pi\)
−0.982226 + 0.187703i \(0.939896\pi\)
\(564\) 1.40833 + 2.15157i 0.0593015 + 0.0905973i
\(565\) 12.1621 17.3693i 0.511665 0.730734i
\(566\) −14.9726 + 30.8397i −0.629343 + 1.29629i
\(567\) 0.972653 2.67234i 0.0408476 0.112228i
\(568\) −5.50074 + 4.19208i −0.230806 + 0.175896i
\(569\) 15.0490i 0.630886i 0.948944 + 0.315443i \(0.102153\pi\)
−0.948944 + 0.315443i \(0.897847\pi\)
\(570\) −11.6715 + 9.23803i −0.488866 + 0.386938i
\(571\) −0.151460 0.151460i −0.00633842 0.00633842i 0.703930 0.710269i \(-0.251427\pi\)
−0.710269 + 0.703930i \(0.751427\pi\)
\(572\) −0.189839 1.31622i −0.00793756 0.0550337i
\(573\) 9.99561 4.66103i 0.417573 0.194717i
\(574\) −12.8319 37.0486i −0.535591 1.54638i
\(575\) 0.663908 + 3.76521i 0.0276869 + 0.157020i
\(576\) −2.01948 7.74091i −0.0841450 0.322538i
\(577\) 13.2549 22.9582i 0.551810 0.955763i −0.446334 0.894867i \(-0.647271\pi\)
0.998144 0.0608968i \(-0.0193960\pi\)
\(578\) 1.01437 + 0.606998i 0.0421920 + 0.0252478i
\(579\) 11.2997 0.988595i 0.469599 0.0410846i
\(580\) 3.60048 1.18428i 0.149502 0.0491745i
\(581\) −0.704918 + 2.63079i −0.0292449 + 0.109144i
\(582\) 5.35758 + 5.52790i 0.222079 + 0.229139i
\(583\) −20.7264 56.9453i −0.858399 2.35843i
\(584\) 4.35134 + 33.9167i 0.180060 + 1.40348i
\(585\) 0.284436 + 0.0501537i 0.0117600 + 0.00207360i
\(586\) 38.5635 + 27.9116i 1.59304 + 1.15302i
\(587\) −40.3175 3.52733i −1.66408 0.145588i −0.784113 0.620618i \(-0.786882\pi\)
−0.879970 + 0.475030i \(0.842437\pi\)
\(588\) −0.496914 2.11741i −0.0204924 0.0873203i
\(589\) −1.17434 1.43691i −0.0483880 0.0592070i
\(590\) 24.3192 + 43.6865i 1.00120 + 1.79854i
\(591\) −18.3455 + 15.3937i −0.754633 + 0.633212i
\(592\) −16.4403 + 20.6051i −0.675692 + 0.846863i
\(593\) −1.39161 + 7.89221i −0.0571465 + 0.324094i −0.999957 0.00923419i \(-0.997061\pi\)
0.942811 + 0.333328i \(0.108172\pi\)
\(594\) 6.10064 4.95849i 0.250312 0.203449i
\(595\) 11.6678 25.0217i 0.478334 1.02579i
\(596\) 1.11601 3.69810i 0.0457137 0.151480i
\(597\) 1.88661 7.04093i 0.0772139 0.288166i
\(598\) 0.436535 + 0.644673i 0.0178513 + 0.0263626i
\(599\) 11.3790 13.5609i 0.464932 0.554084i −0.481727 0.876321i \(-0.659990\pi\)
0.946659 + 0.322237i \(0.104435\pi\)
\(600\) 2.23841 + 0.713902i 0.0913827 + 0.0291449i
\(601\) −4.31919 2.49368i −0.176183 0.101720i 0.409315 0.912393i \(-0.365768\pi\)
−0.585498 + 0.810674i \(0.699101\pi\)
\(602\) −3.10407 43.2659i −0.126513 1.76338i
\(603\) 1.45273 2.07472i 0.0591598 0.0844890i
\(604\) 20.3153 22.7272i 0.826618 0.924756i
\(605\) 43.5549 20.3100i 1.77076 0.825717i
\(606\) −1.91906 + 5.02647i −0.0779565 + 0.204187i
\(607\) −11.5688 −0.469563 −0.234781 0.972048i \(-0.575437\pi\)
−0.234781 + 0.972048i \(0.575437\pi\)
\(608\) −14.2219 + 20.1429i −0.576773 + 0.816904i
\(609\) 2.23195 0.0904431
\(610\) −6.67738 + 17.4896i −0.270359 + 0.708134i
\(611\) −0.139382 + 0.0649948i −0.00563879 + 0.00262941i
\(612\) 5.35878 5.99499i 0.216616 0.242333i
\(613\) 19.2981 27.5605i 0.779441 1.11316i −0.211304 0.977420i \(-0.567771\pi\)
0.990745 0.135737i \(-0.0433403\pi\)
\(614\) 0.185388 + 2.58402i 0.00748167 + 0.104283i
\(615\) 20.3865 + 11.7701i 0.822062 + 0.474618i
\(616\) 13.5866 42.6001i 0.547418 1.71641i
\(617\) 21.9481 26.1568i 0.883598 1.05303i −0.114623 0.993409i \(-0.536566\pi\)
0.998221 0.0596225i \(-0.0189897\pi\)
\(618\) 10.5734 + 15.6148i 0.425325 + 0.628117i
\(619\) −1.65039 + 6.15932i −0.0663346 + 0.247564i −0.991129 0.132903i \(-0.957570\pi\)
0.924794 + 0.380467i \(0.124237\pi\)
\(620\) −0.594013 + 1.96836i −0.0238562 + 0.0790514i
\(621\) −1.94516 + 4.17141i −0.0780567 + 0.167393i
\(622\) −30.0635 + 24.4351i −1.20544 + 0.979757i
\(623\) −7.19392 + 40.7988i −0.288219 + 1.63457i
\(624\) 0.475451 0.0534517i 0.0190333 0.00213978i
\(625\) 21.8042 18.2959i 0.872167 0.731835i
\(626\) 5.89414 + 10.5881i 0.235577 + 0.423186i
\(627\) −23.8064 4.51632i −0.950736 0.180364i
\(628\) −0.370496 1.57872i −0.0147844 0.0629979i
\(629\) −26.3941 2.30918i −1.05240 0.0920732i
\(630\) 7.86697 + 5.69398i 0.313428 + 0.226854i
\(631\) −9.45873 1.66783i −0.376546 0.0663952i −0.0178277 0.999841i \(-0.505675\pi\)
−0.358718 + 0.933446i \(0.616786\pi\)
\(632\) 32.4812 4.16717i 1.29203 0.165761i
\(633\) −5.45883 14.9980i −0.216969 0.596117i
\(634\) −9.39424 9.69288i −0.373093 0.384954i
\(635\) −8.83438 + 32.9703i −0.350582 + 1.30839i
\(636\) 20.7109 6.81230i 0.821242 0.270125i
\(637\) 0.129579 0.0113367i 0.00513409 0.000449175i
\(638\) 5.29449 + 3.16823i 0.209611 + 0.125432i
\(639\) 1.22260 2.11760i 0.0483651 0.0837709i
\(640\) 27.3122 + 0.607752i 1.07961 + 0.0240235i
\(641\) 2.31098 + 13.1062i 0.0912781 + 0.517664i 0.995824 + 0.0912887i \(0.0290986\pi\)
−0.904546 + 0.426375i \(0.859790\pi\)
\(642\) −2.10287 6.07148i −0.0829935 0.239622i
\(643\) −44.1371 + 20.5815i −1.74060 + 0.811653i −0.752353 + 0.658760i \(0.771081\pi\)
−0.988243 + 0.152893i \(0.951141\pi\)
\(644\) 3.73707 + 25.9103i 0.147261 + 1.02101i
\(645\) 18.4155 + 18.4155i 0.725109 + 0.725109i
\(646\) −24.7737 0.708580i −0.974707 0.0278787i
\(647\) 10.2982i 0.404865i 0.979296 + 0.202433i \(0.0648847\pi\)
−0.979296 + 0.202433i \(0.935115\pi\)
\(648\) 1.71442 + 2.24961i 0.0673487 + 0.0883732i
\(649\) −27.8379 + 76.4839i −1.09273 + 3.00226i
\(650\) −0.0613686 + 0.126404i −0.00240707 + 0.00495797i
\(651\) −0.694449 + 0.991775i −0.0272176 + 0.0388707i
\(652\) −24.7568 37.8220i −0.969552 1.48122i
\(653\) −3.61084 13.4758i −0.141303 0.527350i −0.999892 0.0146857i \(-0.995325\pi\)
0.858589 0.512664i \(-0.171341\pi\)
\(654\) −1.49866 + 2.50443i −0.0586022 + 0.0979311i
\(655\) −4.59877 3.85882i −0.179689 0.150777i
\(656\) 37.9042 + 9.15988i 1.47991 + 0.357633i
\(657\) −6.04482 10.4699i −0.235831 0.408471i
\(658\) −5.17042 0.0808976i −0.201564 0.00315372i
\(659\) 16.7812 35.9873i 0.653702 1.40187i −0.247680 0.968842i \(-0.579668\pi\)
0.901381 0.433026i \(-0.142554\pi\)
\(660\) 10.5790 + 24.6740i 0.411786 + 0.960435i
\(661\) 9.07129 6.35178i 0.352832 0.247056i −0.383701 0.923458i \(-0.625351\pi\)
0.736533 + 0.676402i \(0.236462\pi\)
\(662\) −19.4990 14.1130i −0.757850 0.548519i
\(663\) 0.309113 + 0.368386i 0.0120049 + 0.0143069i
\(664\) −1.82345 2.00319i −0.0707637 0.0777388i
\(665\) −2.22245 29.8498i −0.0861827 1.15753i
\(666\) 2.55265 8.96329i 0.0989131 0.347320i
\(667\) −3.59857 0.314834i −0.139337 0.0121904i
\(668\) −13.6731 17.3709i −0.529028 0.672100i
\(669\) 10.3842 + 14.8301i 0.401475 + 0.573365i
\(670\) 5.45517 + 6.71172i 0.210752 + 0.259296i
\(671\) −28.6375 + 10.4232i −1.10554 + 0.402383i
\(672\) 15.1662 + 5.36525i 0.585048 + 0.206969i
\(673\) −0.717654 1.24301i −0.0276635 0.0479147i 0.851862 0.523766i \(-0.175473\pi\)
−0.879526 + 0.475851i \(0.842140\pi\)
\(674\) 37.2969 + 7.17981i 1.43662 + 0.276556i
\(675\) −0.827511 + 0.0723979i −0.0318509 + 0.00278660i
\(676\) 0.812511 25.9587i 0.0312504 0.998411i
\(677\) 9.07523 2.43170i 0.348789 0.0934578i −0.0801711 0.996781i \(-0.525547\pi\)
0.428960 + 0.903323i \(0.358880\pi\)
\(678\) 0.888682 + 12.3868i 0.0341296 + 0.475713i
\(679\) −15.2450 + 2.68811i −0.585050 + 0.103160i
\(680\) 14.6770 + 23.2070i 0.562838 + 0.889949i
\(681\) −1.29509 + 3.55823i −0.0496280 + 0.136352i
\(682\) −3.05515 + 1.36686i −0.116988 + 0.0523399i
\(683\) −0.149598 0.149598i −0.00572422 0.00572422i 0.704239 0.709963i \(-0.251288\pi\)
−0.709963 + 0.704239i \(0.751288\pi\)
\(684\) 1.89204 8.51001i 0.0723438 0.325388i
\(685\) −9.53879 + 9.53879i −0.364458 + 0.364458i
\(686\) −22.2150 8.48150i −0.848175 0.323825i
\(687\) −1.23626 0.449960i −0.0471661 0.0171671i
\(688\) 37.8830 + 20.6421i 1.44428 + 0.786973i
\(689\) 0.226423 + 1.28411i 0.00862603 + 0.0489206i
\(690\) −11.8807 10.2901i −0.452292 0.391738i
\(691\) 11.9792 + 44.7069i 0.455709 + 1.70073i 0.685994 + 0.727607i \(0.259367\pi\)
−0.230285 + 0.973123i \(0.573966\pi\)
\(692\) 22.7102 21.3317i 0.863311 0.810908i
\(693\) 1.37783 + 15.7487i 0.0523396 + 0.598244i
\(694\) −12.5373 18.5150i −0.475910 0.702821i
\(695\) −24.1980 + 13.9707i −0.917881 + 0.529939i
\(696\) −1.19890 + 1.86825i −0.0454441 + 0.0708159i
\(697\) 13.4054 + 36.8310i 0.507766 + 1.39508i
\(698\) −5.91613 0.610996i −0.223929 0.0231266i
\(699\) 2.14683 1.50323i 0.0812005 0.0568572i
\(700\) −3.71250 + 2.92221i −0.140319 + 0.110449i
\(701\) −3.54721 + 40.5448i −0.133976 + 1.53136i 0.570304 + 0.821434i \(0.306825\pi\)
−0.704280 + 0.709922i \(0.748730\pi\)
\(702\) −0.147799 + 0.0822760i −0.00557831 + 0.00310531i
\(703\) −26.1889 + 11.8017i −0.987733 + 0.445108i
\(704\) 28.3603 + 34.2554i 1.06887 + 1.29105i
\(705\) 2.37832 1.99565i 0.0895728 0.0751605i
\(706\) −1.63936 + 0.262690i −0.0616983 + 0.00988645i
\(707\) −6.20574 8.86272i −0.233391 0.333317i
\(708\) −27.1905 10.8714i −1.02188 0.408574i
\(709\) 7.77462 + 3.62537i 0.291982 + 0.136153i 0.563090 0.826395i \(-0.309612\pi\)
−0.271108 + 0.962549i \(0.587390\pi\)
\(710\) 5.81126 + 5.99600i 0.218093 + 0.225026i
\(711\) −10.0268 + 5.78897i −0.376034 + 0.217103i
\(712\) −30.2864 27.9369i −1.13503 1.04698i
\(713\) 1.25956 1.50108i 0.0471708 0.0562159i
\(714\) 3.94013 + 15.6821i 0.147456 + 0.586889i
\(715\) −1.55085 + 0.415550i −0.0579987 + 0.0155407i
\(716\) −3.64629 5.57059i −0.136268 0.208183i
\(717\) −9.68599 6.78220i −0.361730 0.253286i
\(718\) 0.521986 0.180791i 0.0194803 0.00674705i
\(719\) −21.5079 7.82822i −0.802108 0.291943i −0.0917480 0.995782i \(-0.529245\pi\)
−0.710360 + 0.703839i \(0.751468\pi\)
\(720\) −8.99191 + 3.52651i −0.335109 + 0.131425i
\(721\) −37.9213 −1.41226
\(722\) −23.8081 + 12.4570i −0.886044 + 0.463601i
\(723\) 0.0305018 0.0305018i 0.00113438 0.00113438i
\(724\) −23.0811 + 30.8612i −0.857801 + 1.14695i
\(725\) −0.275522 0.590858i −0.0102326 0.0219439i
\(726\) −12.2926 + 25.3197i −0.456222 + 0.939703i
\(727\) −31.1297 + 5.48900i −1.15453 + 0.203576i −0.717955 0.696090i \(-0.754922\pi\)
−0.436580 + 0.899665i \(0.643810\pi\)
\(728\) −0.447068 + 0.851930i −0.0165694 + 0.0315746i
\(729\) −0.866025 0.500000i −0.0320750 0.0185185i
\(730\) 40.0401 10.0601i 1.48195 0.372340i
\(731\) 3.77930 + 43.1976i 0.139782 + 1.59772i
\(732\) −3.42587 10.4154i −0.126624 0.384965i
\(733\) −21.2272 5.68782i −0.784045 0.210084i −0.155478 0.987839i \(-0.549692\pi\)
−0.628568 + 0.777755i \(0.716358\pi\)
\(734\) −0.193949 + 12.3959i −0.00715878 + 0.457540i
\(735\) −2.46752 + 0.898104i −0.0910159 + 0.0331271i
\(736\) −23.6956 10.7897i −0.873432 0.397714i
\(737\) −2.44489 + 13.8657i −0.0900587 + 0.510748i
\(738\) −13.6133 + 2.18137i −0.501111 + 0.0802973i
\(739\) −2.52089 + 28.8139i −0.0927325 + 1.05994i 0.797160 + 0.603768i \(0.206335\pi\)
−0.889893 + 0.456170i \(0.849221\pi\)
\(740\) 27.0504 + 16.7672i 0.994392 + 0.616376i
\(741\) 0.487582 + 0.184650i 0.0179118 + 0.00678328i
\(742\) −12.0085 + 42.1662i −0.440845 + 1.54797i
\(743\) 1.26762 + 1.51069i 0.0465045 + 0.0554219i 0.788795 0.614656i \(-0.210705\pi\)
−0.742291 + 0.670078i \(0.766261\pi\)
\(744\) −0.457140 1.11402i −0.0167596 0.0408421i
\(745\) −4.59289 0.809850i −0.168270 0.0296706i
\(746\) 2.17487 21.0587i 0.0796275 0.771015i
\(747\) 0.867985 + 0.404748i 0.0317579 + 0.0148089i
\(748\) −12.9141 + 42.7932i −0.472187 + 1.56467i
\(749\) 12.4805 + 3.34413i 0.456026 + 0.122192i
\(750\) −2.69141 + 13.9810i −0.0982763 + 0.510515i
\(751\) 21.3737 + 17.9347i 0.779937 + 0.654445i 0.943233 0.332132i \(-0.107768\pi\)
−0.163296 + 0.986577i \(0.552213\pi\)
\(752\) 2.84502 4.28444i 0.103747 0.156237i
\(753\) 11.9181 20.6428i 0.434321 0.752267i
\(754\) −0.100352 0.0869168i −0.00365461 0.00316532i
\(755\) −30.1479 21.1098i −1.09719 0.768264i
\(756\) −5.67879 + 0.318211i −0.206535 + 0.0115732i
\(757\) 4.96781 + 10.6535i 0.180558 + 0.387208i 0.975667 0.219259i \(-0.0703640\pi\)
−0.795109 + 0.606467i \(0.792586\pi\)
\(758\) 8.62924 3.86070i 0.313428 0.140227i
\(759\) 25.5860i 0.928713i
\(760\) 26.1796 + 14.1736i 0.949633 + 0.514132i
\(761\) 40.2886i 1.46046i −0.683202 0.730230i \(-0.739413\pi\)
0.683202 0.730230i \(-0.260587\pi\)
\(762\) −8.16410 18.2480i −0.295754 0.661055i
\(763\) −2.48035 5.31912i −0.0897946 0.192565i
\(764\) −16.4455 14.7002i −0.594976 0.531835i
\(765\) −7.95243 5.56835i −0.287521 0.201324i
\(766\) 26.6892 30.8148i 0.964320 1.11338i
\(767\) 0.875654 1.51668i 0.0316180 0.0547641i
\(768\) −12.6375 + 9.81288i −0.456018 + 0.354092i
\(769\) 11.8057 + 9.90617i 0.425725 + 0.357226i 0.830336 0.557263i \(-0.188149\pi\)
−0.404611 + 0.914489i \(0.632593\pi\)
\(770\) −53.0120 10.2050i −1.91042 0.367764i
\(771\) −6.94124 1.85990i −0.249982 0.0669826i
\(772\) −10.7227 19.9917i −0.385917 0.719515i
\(773\) −41.6231 19.4092i −1.49708 0.698099i −0.510273 0.860012i \(-0.670456\pi\)
−0.986805 + 0.161914i \(0.948233\pi\)
\(774\) −15.1723 1.56693i −0.545355 0.0563223i
\(775\) 0.348276 + 0.0614105i 0.0125105 + 0.00220593i
\(776\) 5.93883 14.2048i 0.213192 0.509921i
\(777\) 12.0465 + 14.3564i 0.432165 + 0.515034i
\(778\) 36.1257 + 10.2882i 1.29517 + 0.368850i
\(779\) 32.1960 + 27.7339i 1.15354 + 0.993671i
\(780\) −0.131977 0.562368i −0.00472554 0.0201360i
\(781\) −1.18469 + 13.5410i −0.0423914 + 0.484536i
\(782\) −4.14058 25.8401i −0.148067 0.924039i
\(783\) 0.136285 0.772910i 0.00487043 0.0276216i
\(784\) −3.50053 + 2.58217i −0.125019 + 0.0922205i
\(785\) −1.83977 + 0.669620i −0.0656641 + 0.0238998i
\(786\) 3.51552 + 0.0550047i 0.125395 + 0.00196195i
\(787\) −22.8992 6.13583i −0.816270 0.218719i −0.173555 0.984824i \(-0.555525\pi\)
−0.642715 + 0.766105i \(0.722192\pi\)
\(788\) 42.7546 + 21.5902i 1.52307 + 0.769118i
\(789\) −2.45678 28.0811i −0.0874636 0.999714i
\(790\) −9.63427 38.3454i −0.342772 1.36427i
\(791\) −21.6270 12.4864i −0.768968 0.443964i
\(792\) −13.9226 7.30616i −0.494717 0.259613i
\(793\) 0.645771 0.113867i 0.0229320 0.00404353i
\(794\) −2.90124 1.40854i −0.102961 0.0499873i
\(795\) −11.1246 23.8568i −0.394549 0.846113i
\(796\) −14.4293 + 2.08115i −0.511433 + 0.0737644i
\(797\) −29.2443 + 29.2443i −1.03589 + 1.03589i −0.0365556 + 0.999332i \(0.511639\pi\)
−0.999332 + 0.0365556i \(0.988361\pi\)
\(798\) 12.0366 + 12.7454i 0.426090 + 0.451182i
\(799\) 5.16932 0.182877
\(800\) −0.451852 4.67722i −0.0159754 0.165365i
\(801\) 13.6891 + 4.98243i 0.483681 + 0.176045i
\(802\) −15.5242 44.8221i −0.548178 1.58272i
\(803\) 55.0520 + 38.5478i 1.94274 + 1.36032i
\(804\) −4.95861 1.03525i −0.174877 0.0365106i
\(805\) 30.5293 8.18030i 1.07602 0.288318i
\(806\) 0.0698455 0.0175486i 0.00246020 0.000618125i
\(807\) 12.9693 15.4562i 0.456540 0.544084i
\(808\) 10.7520 0.433878i 0.378253 0.0152638i
\(809\) −3.15621 + 1.82224i −0.110967 + 0.0640666i −0.554456 0.832213i \(-0.687074\pi\)
0.443490 + 0.896280i \(0.353740\pi\)
\(810\) 2.45216 2.37661i 0.0861601 0.0835055i
\(811\) −1.47033 0.685628i −0.0516304 0.0240757i 0.396632 0.917978i \(-0.370179\pi\)
−0.448262 + 0.893902i \(0.647957\pi\)
\(812\) −1.75903 4.10270i −0.0617299 0.143977i
\(813\) −13.4585 19.2208i −0.472012 0.674102i
\(814\) 8.19706 + 51.1553i 0.287307 + 1.79299i
\(815\) −41.8081 + 35.0812i −1.46447 + 1.22884i
\(816\) −15.2432 5.12562i −0.533617 0.179432i
\(817\) 26.4645 + 38.8565i 0.925875 + 1.35942i
\(818\) 7.14287 + 12.8313i 0.249744 + 0.448636i
\(819\) 0.0296466 0.338863i 0.00103594 0.0118408i
\(820\) 5.56863 46.7501i 0.194465 1.63258i
\(821\) −11.9532 + 8.36973i −0.417170 + 0.292106i −0.763255 0.646098i \(-0.776400\pi\)
0.346085 + 0.938203i \(0.387511\pi\)
\(822\) 0.811635 7.85887i 0.0283090 0.274110i
\(823\) −0.0929106 0.255270i −0.00323866 0.00889814i 0.938063 0.346465i \(-0.112618\pi\)
−0.941301 + 0.337567i \(0.890396\pi\)
\(824\) 20.3695 31.7420i 0.709606 1.10578i
\(825\) 3.99904 2.30884i 0.139229 0.0803836i
\(826\) 48.7589 33.0168i 1.69654 1.14880i
\(827\) −3.52972 40.3448i −0.122740 1.40293i −0.768726 0.639578i \(-0.779109\pi\)
0.645986 0.763349i \(-0.276446\pi\)
\(828\) 9.20079 + 0.287986i 0.319749 + 0.0100082i
\(829\) 2.75495 + 10.2816i 0.0956833 + 0.357095i 0.997122 0.0758115i \(-0.0241547\pi\)
−0.901439 + 0.432906i \(0.857488\pi\)
\(830\) −2.14116 + 2.47213i −0.0743206 + 0.0858090i
\(831\) 4.77406 + 27.0750i 0.165610 + 0.939223i
\(832\) −0.472964 0.831834i −0.0163971 0.0288387i
\(833\) −4.10845 1.49535i −0.142349 0.0518109i
\(834\) 5.83689 15.2882i 0.202115 0.529387i
\(835\) −18.8728 + 18.8728i −0.653120 + 0.653120i
\(836\) 10.4604 + 47.3196i 0.361781 + 1.63658i
\(837\) 0.301042 + 0.301042i 0.0104055 + 0.0104055i
\(838\) −9.42611 21.0688i −0.325620 0.727809i
\(839\) −12.9598 + 35.6067i −0.447421 + 1.22928i 0.487092 + 0.873351i \(0.338058\pi\)
−0.934513 + 0.355929i \(0.884165\pi\)
\(840\) 4.26644 18.9484i 0.147206 0.653781i
\(841\) −27.9528 + 4.92884i −0.963890 + 0.169960i
\(842\) 20.3770 1.46193i 0.702238 0.0503815i
\(843\) −7.31098 + 1.95897i −0.251803 + 0.0674705i
\(844\) −23.2667 + 21.8544i −0.800874 + 0.752260i
\(845\) −31.2370 + 2.73288i −1.07458 + 0.0940139i
\(846\) −0.343725 + 1.78555i −0.0118175 + 0.0613883i
\(847\) −28.2994 49.0161i −0.972380 1.68421i
\(848\) −28.8448 32.7014i −0.990534 1.12297i
\(849\) −22.7792 + 8.29095i −0.781780 + 0.284545i
\(850\) 3.66510 2.97893i 0.125712 0.102177i
\(851\) −17.3974 24.8461i −0.596376 0.851714i
\(852\) −4.85605 0.578429i −0.166366 0.0198166i
\(853\) −28.0433 2.45347i −0.960183 0.0840051i −0.403724 0.914881i \(-0.632285\pi\)
−0.556458 + 0.830876i \(0.687840\pi\)
\(854\) 21.2051 + 6.03900i 0.725625 + 0.206650i
\(855\) −10.4725 1.05304i −0.358153 0.0360132i
\(856\) −9.50311 + 8.65045i −0.324810 + 0.295666i
\(857\) 11.1053 + 13.2348i 0.379350 + 0.452092i 0.921609 0.388120i \(-0.126875\pi\)
−0.542259 + 0.840211i \(0.682431\pi\)
\(858\) 0.551339 0.761746i 0.0188224 0.0260056i
\(859\) −25.1190 + 17.5885i −0.857049 + 0.600112i −0.917356 0.398068i \(-0.869681\pi\)
0.0603073 + 0.998180i \(0.480792\pi\)
\(860\) 19.3373 48.3643i 0.659396 1.64921i
\(861\) 11.7167 25.1266i 0.399305 0.856313i
\(862\) 0.848615 54.2376i 0.0289039 1.84734i
\(863\) −22.8370 39.5548i −0.777380 1.34646i −0.933447 0.358715i \(-0.883215\pi\)
0.156067 0.987746i \(-0.450118\pi\)
\(864\) 2.78402 4.92435i 0.0947142 0.167530i
\(865\) −28.8168 24.1802i −0.979802 0.822151i
\(866\) −33.6260 20.1219i −1.14266 0.683770i
\(867\) 0.216341 + 0.807396i 0.00734733 + 0.0274206i
\(868\) 2.37036 + 0.494882i 0.0804552 + 0.0167974i
\(869\) 36.9163 52.7219i 1.25230 1.78847i
\(870\) 2.41098 + 1.17052i 0.0817400 + 0.0396845i
\(871\) 0.103614 0.284678i 0.00351083 0.00964593i
\(872\) 5.78469 + 0.781008i 0.195894 + 0.0264483i
\(873\) 5.44340i 0.184231i
\(874\) −17.6087 22.2472i −0.595623 0.752524i
\(875\) −20.2449 20.2449i −0.684404 0.684404i
\(876\) −14.4815 + 19.3629i −0.489285 + 0.654213i
\(877\) −7.12361 + 3.32180i −0.240547 + 0.112169i −0.539154 0.842207i \(-0.681256\pi\)
0.298607 + 0.954376i \(0.403478\pi\)
\(878\) −41.9639 + 14.5343i −1.41621 + 0.490508i
\(879\) 5.84527 + 33.1502i 0.197156 + 1.11813i
\(880\) 37.0176 38.8920i 1.24786 1.31105i
\(881\) 22.1905 38.4350i 0.747616 1.29491i −0.201346 0.979520i \(-0.564532\pi\)
0.948962 0.315389i \(-0.102135\pi\)
\(882\) 0.789697 1.31968i 0.0265905 0.0444358i
\(883\) −39.4333 + 3.44996i −1.32703 + 0.116101i −0.728527 0.685017i \(-0.759795\pi\)
−0.598507 + 0.801117i \(0.704239\pi\)
\(884\) 0.433540 0.858533i 0.0145815 0.0288756i
\(885\) −9.15051 + 34.1502i −0.307591 + 1.14794i
\(886\) −7.00411 + 6.78831i −0.235308 + 0.228058i
\(887\) 3.59291 + 9.87144i 0.120638 + 0.331450i 0.985282 0.170934i \(-0.0546785\pi\)
−0.864644 + 0.502384i \(0.832456\pi\)
\(888\) −18.4878 + 2.37190i −0.620411 + 0.0795957i
\(889\) 39.5893 + 6.98067i 1.32778 + 0.234124i
\(890\) −29.1675 + 40.2987i −0.977697 + 1.35082i
\(891\) 5.53782 + 0.484497i 0.185524 + 0.0162313i
\(892\) 19.0764 30.7757i 0.638724 1.03045i
\(893\) 4.88949 2.73915i 0.163621 0.0916621i
\(894\) 2.38657 1.32854i 0.0798187 0.0444331i
\(895\) −6.15768 + 5.16690i −0.205828 + 0.172711i
\(896\) −2.09045 32.1065i −0.0698370 1.07260i
\(897\) −0.0955985 + 0.542166i −0.00319194 + 0.0181024i
\(898\) 19.2742 + 23.7138i 0.643188 + 0.791341i
\(899\) −0.141211 + 0.302828i −0.00470965 + 0.0100999i
\(900\) 0.785254 + 1.46405i 0.0261751 + 0.0488017i
\(901\) 11.3436 42.3347i 0.377909 1.41037i
\(902\) 63.4608 42.9720i 2.11301 1.43081i
\(903\) 19.7157 23.4963i 0.656098 0.781907i
\(904\) 22.0687 11.3958i 0.733994 0.379018i
\(905\) 40.2944 + 23.2640i 1.33943 + 0.773322i
\(906\) 21.4997 1.54248i 0.714281 0.0512455i
\(907\) 25.4914 36.4055i 0.846428 1.20882i −0.129683 0.991555i \(-0.541396\pi\)
0.976112 0.217269i \(-0.0697150\pi\)
\(908\) 7.56133 0.423699i 0.250931 0.0140610i
\(909\) −3.44804 + 1.60785i −0.114364 + 0.0533289i
\(910\) 1.08519 + 0.414316i 0.0359737 + 0.0137344i
\(911\) 28.8499 0.955841 0.477920 0.878403i \(-0.341391\pi\)
0.477920 + 0.878403i \(0.341391\pi\)
\(912\) −17.1340 + 3.22898i −0.567363 + 0.106922i
\(913\) −5.32391 −0.176196
\(914\) −15.7580 6.01625i −0.521228 0.199000i
\(915\) −11.9974 + 5.59450i −0.396623 + 0.184949i
\(916\) 0.147208 + 2.62707i 0.00486389 + 0.0868008i
\(917\) −4.05532 + 5.79160i −0.133919 + 0.191256i
\(918\) 5.67122 0.406877i 0.187178 0.0134289i
\(919\) 20.5149 + 11.8443i 0.676724 + 0.390707i 0.798620 0.601836i \(-0.205564\pi\)
−0.121896 + 0.992543i \(0.538897\pi\)
\(920\) −9.55159 + 29.9486i −0.314907 + 0.987377i
\(921\) −1.17751 + 1.40330i −0.0388002 + 0.0462402i
\(922\) −7.94799 + 5.38192i −0.261753 + 0.177244i
\(923\) 0.0756976 0.282507i 0.00249162 0.00929884i
\(924\) 27.8630 14.9445i 0.916624 0.491638i
\(925\) 2.31347 4.96126i 0.0760665 0.163125i
\(926\) −22.2538 27.3798i −0.731306 0.899756i
\(927\) −2.31551 + 13.1319i −0.0760514 + 0.431309i
\(928\) 4.37903 + 0.731381i 0.143749 + 0.0240088i
\(929\) 32.5237 27.2906i 1.06707 0.895376i 0.0722842 0.997384i \(-0.476971\pi\)
0.994784 + 0.102008i \(0.0325267\pi\)
\(930\) −1.27028 + 0.707134i −0.0416542 + 0.0231878i
\(931\) −4.67841 + 0.762602i −0.153329 + 0.0249933i
\(932\) −4.45513 2.76152i −0.145933 0.0904567i
\(933\) −27.2900 2.38756i −0.893433 0.0781653i
\(934\) 22.8557 31.5781i 0.747861 1.03327i
\(935\) 53.1474 + 9.37131i 1.73810 + 0.306475i
\(936\) 0.267720 + 0.206837i 0.00875070 + 0.00676067i
\(937\) 0.985089 + 2.70651i 0.0321815 + 0.0884178i 0.954743 0.297433i \(-0.0961303\pi\)
−0.922561 + 0.385850i \(0.873908\pi\)
\(938\) 7.31459 7.08922i 0.238830 0.231471i
\(939\) −2.21777 + 8.27684i −0.0723743 + 0.270104i
\(940\) −5.54274 2.79896i −0.180784 0.0912921i
\(941\) −43.5536 + 3.81045i −1.41981 + 0.124217i −0.771048 0.636777i \(-0.780267\pi\)
−0.648759 + 0.760994i \(0.724712\pi\)
\(942\) 0.588793 0.983941i 0.0191839 0.0320585i
\(943\) −22.4352 + 38.8589i −0.730590 + 1.26542i
\(944\) 1.44566 + 58.5487i 0.0470522 + 1.90560i
\(945\) 1.19244 + 6.76265i 0.0387900 + 0.219989i
\(946\) 80.1212 27.7501i 2.60497 0.902234i
\(947\) 35.8361 16.7107i 1.16452 0.543024i 0.258395 0.966039i \(-0.416806\pi\)
0.906122 + 0.423016i \(0.139029\pi\)
\(948\) 18.5434 + 13.8686i 0.602262 + 0.450431i
\(949\) −1.02252 1.02252i −0.0331924 0.0331924i
\(950\) 1.88821 4.75976i 0.0612615 0.154427i
\(951\) 9.54473i 0.309509i
\(952\) 25.7212 19.6020i 0.833627 0.635303i
\(953\) 18.9178 51.9762i 0.612808 1.68368i −0.111127 0.993806i \(-0.535446\pi\)
0.723934 0.689869i \(-0.242332\pi\)
\(954\) 13.8687 + 6.73318i 0.449014 + 0.217995i
\(955\) −15.2751 + 21.8151i −0.494291 + 0.705921i
\(956\) −4.83317 + 23.1497i −0.156316 + 0.748714i
\(957\) 1.12919 + 4.21421i 0.0365017 + 0.136226i
\(958\) 20.8729 + 12.4904i 0.674373 + 0.403546i
\(959\) 12.1705 + 10.2123i 0.393007 + 0.329772i
\(960\) 13.5690 + 13.7494i 0.437937 + 0.443759i
\(961\) 15.4094 + 26.6898i 0.497077 + 0.860962i
\(962\) 0.0174394 1.11461i 0.000562269 0.0359363i
\(963\) 1.92012 4.11771i 0.0618750 0.132691i
\(964\) −0.0801066 0.0320286i −0.00258006 0.00103157i
\(965\) −22.4361 + 15.7099i −0.722242 + 0.505719i
\(966\) −10.8534 + 14.9953i −0.349201 + 0.482467i
\(967\) 3.44400 + 4.10440i 0.110752 + 0.131989i 0.818572 0.574404i \(-0.194766\pi\)
−0.707821 + 0.706392i \(0.750322\pi\)
\(968\) 56.2300 + 2.64109i 1.80730 + 0.0848878i
\(969\) −12.2304 12.5513i −0.392897 0.403207i
\(970\) −17.8777 5.09137i −0.574017 0.163474i
\(971\) −18.3846 1.60844i −0.589990 0.0516174i −0.211748 0.977324i \(-0.567916\pi\)
−0.378242 + 0.925707i \(0.623471\pi\)
\(972\) −0.236558 + 1.98596i −0.00758759 + 0.0636997i
\(973\) 18.8750 + 26.9563i 0.605104 + 0.864178i
\(974\) 4.72031 3.83658i 0.151248 0.122932i
\(975\) −0.0933660 + 0.0339824i −0.00299010 + 0.00108831i
\(976\) −16.4453 + 14.5059i −0.526403 + 0.464322i
\(977\) −21.5100 37.2564i −0.688166 1.19194i −0.972431 0.233192i \(-0.925083\pi\)
0.284265 0.958746i \(-0.408250\pi\)
\(978\) 6.04228 31.3878i 0.193211 1.00367i
\(979\) −80.6731 + 7.05798i −2.57832 + 0.225574i
\(980\) 3.59556 + 3.82792i 0.114856 + 0.122278i
\(981\) −1.99343 + 0.534139i −0.0636454 + 0.0170537i
\(982\) 17.8479 1.28048i 0.569548 0.0408618i
\(983\) −3.01097 + 0.530916i −0.0960351 + 0.0169336i −0.221459 0.975170i \(-0.571082\pi\)
0.125424 + 0.992103i \(0.459971\pi\)
\(984\) 14.7385 + 23.3043i 0.469848 + 0.742915i
\(985\) 19.7782 54.3401i 0.630186 1.73142i
\(986\) 1.82239 + 4.07332i 0.0580368 + 0.129721i
\(987\) −2.58552 2.58552i −0.0822982 0.0822982i
\(988\) −0.0448527 1.04178i −0.00142695 0.0331436i
\(989\) −35.1020 + 35.1020i −1.11618 + 1.11618i
\(990\) −6.77091 + 17.7346i −0.215194 + 0.563643i
\(991\) −37.3486 13.5938i −1.18642 0.431820i −0.327953 0.944694i \(-0.606359\pi\)
−0.858464 + 0.512874i \(0.828581\pi\)
\(992\) −1.68749 + 1.71828i −0.0535777 + 0.0545555i
\(993\) −2.95556 16.7618i −0.0937920 0.531921i
\(994\) 6.43831 7.43353i 0.204211 0.235777i
\(995\) 4.55556 + 17.0016i 0.144421 + 0.538986i
\(996\) 0.0599239 1.91449i 0.00189876 0.0606630i
\(997\) 3.16681 + 36.1968i 0.100294 + 1.14636i 0.864927 + 0.501898i \(0.167365\pi\)
−0.764633 + 0.644466i \(0.777080\pi\)
\(998\) 42.6064 28.8506i 1.34868 0.913250i
\(999\) 5.70712 3.29501i 0.180565 0.104249i
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 912.2.cq.a.709.49 yes 960
16.13 even 4 inner 912.2.cq.a.253.76 960
19.16 even 9 inner 912.2.cq.a.757.76 yes 960
304.301 even 36 inner 912.2.cq.a.301.49 yes 960
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
912.2.cq.a.253.76 960 16.13 even 4 inner
912.2.cq.a.301.49 yes 960 304.301 even 36 inner
912.2.cq.a.709.49 yes 960 1.1 even 1 trivial
912.2.cq.a.757.76 yes 960 19.16 even 9 inner