Properties

Label 483.2.y.b.163.13
Level $483$
Weight $2$
Character 483.163
Analytic conductor $3.857$
Analytic rank $0$
Dimension $320$
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] = [483,2,Mod(4,483)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(483, base_ring=CyclotomicField(66))
 
chi = DirichletCharacter(H, H._module([0, 44, 12]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("483.4");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.y (of order \(33\), degree \(20\), 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: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(320\)
Relative dimension: \(16\) over \(\Q(\zeta_{33})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{33}]$

Embedding invariants

Embedding label 163.13
Character \(\chi\) \(=\) 483.163
Dual form 483.2.y.b.403.13

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(1.42262 - 0.733414i) q^{2} +(-0.786053 + 0.618159i) q^{3} +(0.325851 - 0.457593i) q^{4} +(-0.994524 + 0.948277i) q^{5} +(-0.664892 + 1.45591i) q^{6} +(1.69272 - 2.03339i) q^{7} +(-0.327606 + 2.27855i) q^{8} +(0.235759 - 0.971812i) q^{9} +O(q^{10})\) \(q+(1.42262 - 0.733414i) q^{2} +(-0.786053 + 0.618159i) q^{3} +(0.325851 - 0.457593i) q^{4} +(-0.994524 + 0.948277i) q^{5} +(-0.664892 + 1.45591i) q^{6} +(1.69272 - 2.03339i) q^{7} +(-0.327606 + 2.27855i) q^{8} +(0.235759 - 0.971812i) q^{9} +(-0.719355 + 2.07844i) q^{10} +(3.16163 + 1.62994i) q^{11} +(0.0267294 + 0.561120i) q^{12} +(3.84166 + 4.43351i) q^{13} +(0.916790 - 4.13422i) q^{14} +(0.195563 - 1.36017i) q^{15} +(1.57252 + 4.54351i) q^{16} +(-4.09374 + 0.390905i) q^{17} +(-0.377344 - 1.55543i) q^{18} +(-0.804502 - 0.0768206i) q^{19} +(0.109859 + 0.764084i) q^{20} +(-0.0736094 + 2.64473i) q^{21} +5.69324 q^{22} +(4.78621 + 0.303599i) q^{23} +(-1.15099 - 1.99357i) q^{24} +(-0.148060 + 3.10817i) q^{25} +(8.71684 + 3.48970i) q^{26} +(0.415415 + 0.909632i) q^{27} +(-0.378892 - 1.43716i) q^{28} +(1.00343 - 2.19721i) q^{29} +(-0.719355 - 2.07844i) q^{30} +(2.88346 - 1.15436i) q^{31} +(2.23734 + 2.13330i) q^{32} +(-3.49277 + 0.673177i) q^{33} +(-5.53716 + 3.55851i) q^{34} +(0.244767 + 3.62743i) q^{35} +(-0.367872 - 0.424547i) q^{36} +(2.02503 - 8.34728i) q^{37} +(-1.20085 + 0.480746i) q^{38} +(-5.76037 - 1.11022i) q^{39} +(-1.83488 - 2.57673i) q^{40} +(-11.3216 - 3.32432i) q^{41} +(1.83496 + 3.81644i) q^{42} +(-0.484951 - 3.37291i) q^{43} +(1.77607 - 0.915627i) q^{44} +(0.687078 + 1.19005i) q^{45} +(7.03165 - 3.07837i) q^{46} +(-4.44139 + 7.69271i) q^{47} +(-4.04470 - 2.59937i) q^{48} +(-1.26938 - 6.88394i) q^{49} +(2.06894 + 4.53035i) q^{50} +(2.97625 - 2.83785i) q^{51} +(3.28055 - 0.313255i) q^{52} +(-1.11212 - 0.214343i) q^{53} +(1.25812 + 0.989394i) q^{54} +(-4.68995 + 1.37709i) q^{55} +(4.07864 + 4.52310i) q^{56} +(0.679869 - 0.436925i) q^{57} +(-0.183958 - 3.86174i) q^{58} +(1.91134 - 5.52247i) q^{59} +(-0.558680 - 0.532700i) q^{60} +(0.376117 + 0.295782i) q^{61} +(3.25545 - 3.75699i) q^{62} +(-1.57700 - 2.12440i) q^{63} +(-4.47888 - 1.31512i) q^{64} +(-8.02482 - 0.766278i) q^{65} +(-4.47519 + 3.51933i) q^{66} +(0.516717 - 10.8472i) q^{67} +(-1.15507 + 2.00064i) q^{68} +(-3.94989 + 2.72000i) q^{69} +(3.00862 + 4.98095i) q^{70} +(9.21104 + 5.91957i) q^{71} +(2.13708 + 0.855559i) q^{72} +(6.56177 - 9.21472i) q^{73} +(-3.24115 - 13.3602i) q^{74} +(-1.80496 - 2.53471i) q^{75} +(-0.297300 + 0.343103i) q^{76} +(8.66607 - 3.66982i) q^{77} +(-9.00909 + 2.64531i) q^{78} +(-14.1979 + 2.73641i) q^{79} +(-5.87242 - 3.02744i) q^{80} +(-0.888835 - 0.458227i) q^{81} +(-18.5445 + 3.57416i) q^{82} +(-8.83826 + 2.59515i) q^{83} +(1.18622 + 0.895469i) q^{84} +(3.70063 - 4.27076i) q^{85} +(-3.16364 - 4.44271i) q^{86} +(0.569475 + 2.34741i) q^{87} +(-4.74966 + 6.66996i) q^{88} +(1.19538 + 0.478559i) q^{89} +(1.85026 + 1.18909i) q^{90} +(15.5180 - 0.306901i) q^{91} +(1.69852 - 2.09121i) q^{92} +(-1.55297 + 2.68982i) q^{93} +(-0.676487 + 14.2012i) q^{94} +(0.872944 - 0.686491i) q^{95} +(-3.07739 - 0.293855i) q^{96} +(13.5102 + 3.96695i) q^{97} +(-6.85463 - 8.86229i) q^{98} +(2.32937 - 2.68824i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 320 q + 2 q^{2} + 16 q^{3} + 18 q^{4} - 2 q^{5} + 18 q^{6} + 2 q^{7} - 12 q^{8} + 16 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 320 q + 2 q^{2} + 16 q^{3} + 18 q^{4} - 2 q^{5} + 18 q^{6} + 2 q^{7} - 12 q^{8} + 16 q^{9} + 2 q^{11} + 18 q^{12} + 18 q^{14} - 18 q^{15} - 8 q^{16} + 4 q^{17} + 2 q^{18} + 8 q^{19} - 162 q^{20} - 4 q^{21} + 144 q^{22} - 26 q^{23} + 6 q^{24} - 8 q^{25} - 14 q^{26} - 32 q^{27} + 86 q^{28} - 74 q^{29} - 56 q^{31} - 28 q^{32} + 13 q^{33} + 40 q^{34} - 32 q^{35} - 14 q^{36} + 2 q^{37} - 39 q^{38} - 52 q^{40} + 60 q^{41} - 61 q^{42} + 16 q^{43} - 75 q^{44} - 2 q^{45} - 4 q^{46} - 40 q^{47} - 28 q^{48} - 100 q^{49} + 146 q^{50} - 18 q^{51} - 18 q^{52} + 34 q^{53} + 2 q^{54} + 36 q^{55} - 102 q^{56} + 28 q^{57} - 17 q^{58} - 102 q^{59} - 18 q^{60} - 18 q^{61} - 88 q^{62} + 2 q^{63} - 252 q^{64} - 78 q^{65} + 16 q^{66} + 12 q^{67} + 34 q^{68} + 8 q^{69} + 264 q^{70} + 160 q^{71} + 6 q^{72} - 8 q^{73} + 70 q^{74} + 14 q^{75} - 40 q^{76} - 90 q^{77} - 16 q^{78} + 26 q^{79} - 103 q^{80} + 16 q^{81} - 30 q^{82} - 80 q^{83} - 52 q^{84} - 128 q^{85} + 90 q^{86} + 4 q^{87} - 293 q^{88} - 36 q^{89} + 16 q^{91} - 174 q^{92} + 32 q^{93} + 57 q^{94} - 85 q^{95} - 50 q^{96} - 8 q^{97} - 193 q^{98} - 26 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{1}{11}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.42262 0.733414i 1.00595 0.518602i 0.125171 0.992135i \(-0.460052\pi\)
0.880776 + 0.473533i \(0.157022\pi\)
\(3\) −0.786053 + 0.618159i −0.453828 + 0.356894i
\(4\) 0.325851 0.457593i 0.162925 0.228797i
\(5\) −0.994524 + 0.948277i −0.444765 + 0.424082i −0.879077 0.476680i \(-0.841840\pi\)
0.434312 + 0.900762i \(0.356991\pi\)
\(6\) −0.664892 + 1.45591i −0.271441 + 0.594373i
\(7\) 1.69272 2.03339i 0.639789 0.768551i
\(8\) −0.327606 + 2.27855i −0.115826 + 0.805588i
\(9\) 0.235759 0.971812i 0.0785863 0.323937i
\(10\) −0.719355 + 2.07844i −0.227480 + 0.657260i
\(11\) 3.16163 + 1.62994i 0.953269 + 0.491444i 0.863406 0.504510i \(-0.168327\pi\)
0.0898629 + 0.995954i \(0.471357\pi\)
\(12\) 0.0267294 + 0.561120i 0.00771613 + 0.161981i
\(13\) 3.84166 + 4.43351i 1.06549 + 1.22964i 0.972238 + 0.233993i \(0.0751792\pi\)
0.0932472 + 0.995643i \(0.470275\pi\)
\(14\) 0.916790 4.13422i 0.245022 1.10492i
\(15\) 0.195563 1.36017i 0.0504941 0.351194i
\(16\) 1.57252 + 4.54351i 0.393131 + 1.13588i
\(17\) −4.09374 + 0.390905i −0.992877 + 0.0948083i −0.578831 0.815448i \(-0.696491\pi\)
−0.414046 + 0.910256i \(0.635885\pi\)
\(18\) −0.377344 1.55543i −0.0889408 0.366619i
\(19\) −0.804502 0.0768206i −0.184565 0.0176239i 0.00236400 0.999997i \(-0.499248\pi\)
−0.186929 + 0.982373i \(0.559854\pi\)
\(20\) 0.109859 + 0.764084i 0.0245652 + 0.170854i
\(21\) −0.0736094 + 2.64473i −0.0160629 + 0.577127i
\(22\) 5.69324 1.21380
\(23\) 4.78621 + 0.303599i 0.997994 + 0.0633048i
\(24\) −1.15099 1.99357i −0.234945 0.406936i
\(25\) −0.148060 + 3.10817i −0.0296121 + 0.621634i
\(26\) 8.71684 + 3.48970i 1.70951 + 0.684386i
\(27\) 0.415415 + 0.909632i 0.0799467 + 0.175059i
\(28\) −0.378892 1.43716i −0.0716039 0.271598i
\(29\) 1.00343 2.19721i 0.186333 0.408012i −0.793294 0.608839i \(-0.791636\pi\)
0.979627 + 0.200827i \(0.0643628\pi\)
\(30\) −0.719355 2.07844i −0.131336 0.379469i
\(31\) 2.88346 1.15436i 0.517884 0.207329i −0.0979706 0.995189i \(-0.531235\pi\)
0.615855 + 0.787860i \(0.288811\pi\)
\(32\) 2.23734 + 2.13330i 0.395510 + 0.377118i
\(33\) −3.49277 + 0.673177i −0.608014 + 0.117185i
\(34\) −5.53716 + 3.55851i −0.949615 + 0.610280i
\(35\) 0.244767 + 3.62743i 0.0413731 + 0.613147i
\(36\) −0.367872 0.424547i −0.0613120 0.0707579i
\(37\) 2.02503 8.34728i 0.332912 1.37228i −0.521749 0.853099i \(-0.674720\pi\)
0.854662 0.519185i \(-0.173764\pi\)
\(38\) −1.20085 + 0.480746i −0.194803 + 0.0779873i
\(39\) −5.76037 1.11022i −0.922397 0.177777i
\(40\) −1.83488 2.57673i −0.290120 0.407417i
\(41\) −11.3216 3.32432i −1.76814 0.519172i −0.774577 0.632479i \(-0.782037\pi\)
−0.993560 + 0.113307i \(0.963856\pi\)
\(42\) 1.83496 + 3.81644i 0.283141 + 0.588889i
\(43\) −0.484951 3.37291i −0.0739543 0.514363i −0.992804 0.119755i \(-0.961789\pi\)
0.918849 0.394609i \(-0.129120\pi\)
\(44\) 1.77607 0.915627i 0.267752 0.138036i
\(45\) 0.687078 + 1.19005i 0.102424 + 0.177403i
\(46\) 7.03165 3.07837i 1.03676 0.453880i
\(47\) −4.44139 + 7.69271i −0.647843 + 1.12210i 0.335794 + 0.941935i \(0.390995\pi\)
−0.983637 + 0.180162i \(0.942338\pi\)
\(48\) −4.04470 2.59937i −0.583802 0.375187i
\(49\) −1.26938 6.88394i −0.181340 0.983420i
\(50\) 2.06894 + 4.53035i 0.292592 + 0.640688i
\(51\) 2.97625 2.83785i 0.416759 0.397379i
\(52\) 3.28055 0.313255i 0.454931 0.0434406i
\(53\) −1.11212 0.214343i −0.152761 0.0294423i 0.112297 0.993675i \(-0.464179\pi\)
−0.265058 + 0.964232i \(0.585391\pi\)
\(54\) 1.25812 + 0.989394i 0.171208 + 0.134639i
\(55\) −4.68995 + 1.37709i −0.632393 + 0.185687i
\(56\) 4.07864 + 4.52310i 0.545031 + 0.604425i
\(57\) 0.679869 0.436925i 0.0900508 0.0578721i
\(58\) −0.183958 3.86174i −0.0241548 0.507072i
\(59\) 1.91134 5.52247i 0.248836 0.718964i −0.749538 0.661961i \(-0.769724\pi\)
0.998374 0.0570029i \(-0.0181544\pi\)
\(60\) −0.558680 0.532700i −0.0721253 0.0687713i
\(61\) 0.376117 + 0.295782i 0.0481568 + 0.0378709i 0.641947 0.766749i \(-0.278127\pi\)
−0.593790 + 0.804620i \(0.702369\pi\)
\(62\) 3.25545 3.75699i 0.413443 0.477138i
\(63\) −1.57700 2.12440i −0.198683 0.267649i
\(64\) −4.47888 1.31512i −0.559860 0.164390i
\(65\) −8.02482 0.766278i −0.995357 0.0950451i
\(66\) −4.47519 + 3.51933i −0.550857 + 0.433199i
\(67\) 0.516717 10.8472i 0.0631270 1.32520i −0.715898 0.698205i \(-0.753982\pi\)
0.779025 0.626993i \(-0.215715\pi\)
\(68\) −1.15507 + 2.00064i −0.140073 + 0.242614i
\(69\) −3.94989 + 2.72000i −0.475511 + 0.327449i
\(70\) 3.00862 + 4.98095i 0.359599 + 0.595338i
\(71\) 9.21104 + 5.91957i 1.09315 + 0.702524i 0.957558 0.288241i \(-0.0930703\pi\)
0.135591 + 0.990765i \(0.456707\pi\)
\(72\) 2.13708 + 0.855559i 0.251858 + 0.100829i
\(73\) 6.56177 9.21472i 0.767997 1.07850i −0.226528 0.974005i \(-0.572738\pi\)
0.994525 0.104496i \(-0.0333231\pi\)
\(74\) −3.24115 13.3602i −0.376777 1.55309i
\(75\) −1.80496 2.53471i −0.208419 0.292683i
\(76\) −0.297300 + 0.343103i −0.0341027 + 0.0393566i
\(77\) 8.66607 3.66982i 0.987591 0.418215i
\(78\) −9.00909 + 2.64531i −1.02008 + 0.299522i
\(79\) −14.1979 + 2.73641i −1.59738 + 0.307870i −0.908783 0.417270i \(-0.862987\pi\)
−0.688601 + 0.725140i \(0.741775\pi\)
\(80\) −5.87242 3.02744i −0.656556 0.338478i
\(81\) −0.888835 0.458227i −0.0987595 0.0509141i
\(82\) −18.5445 + 3.57416i −2.04790 + 0.394700i
\(83\) −8.83826 + 2.59515i −0.970125 + 0.284854i −0.728142 0.685426i \(-0.759616\pi\)
−0.241983 + 0.970281i \(0.577798\pi\)
\(84\) 1.18622 + 0.895469i 0.129428 + 0.0977037i
\(85\) 3.70063 4.27076i 0.401390 0.463229i
\(86\) −3.16364 4.44271i −0.341144 0.479070i
\(87\) 0.569475 + 2.34741i 0.0610542 + 0.251669i
\(88\) −4.74966 + 6.66996i −0.506315 + 0.711020i
\(89\) 1.19538 + 0.478559i 0.126710 + 0.0507272i 0.434151 0.900840i \(-0.357048\pi\)
−0.307441 + 0.951567i \(0.599473\pi\)
\(90\) 1.85026 + 1.18909i 0.195034 + 0.125341i
\(91\) 15.5180 0.306901i 1.62672 0.0321720i
\(92\) 1.69852 2.09121i 0.177082 0.218024i
\(93\) −1.55297 + 2.68982i −0.161036 + 0.278922i
\(94\) −0.676487 + 14.2012i −0.0697743 + 1.46474i
\(95\) 0.872944 0.686491i 0.0895621 0.0704325i
\(96\) −3.07739 0.293855i −0.314085 0.0299915i
\(97\) 13.5102 + 3.96695i 1.37175 + 0.402782i 0.882890 0.469580i \(-0.155595\pi\)
0.488860 + 0.872362i \(0.337413\pi\)
\(98\) −6.85463 8.86229i −0.692422 0.895226i
\(99\) 2.32937 2.68824i 0.234111 0.270178i
\(100\) 1.37403 + 1.08055i 0.137403 + 0.108055i
\(101\) −3.64840 3.47875i −0.363030 0.346148i 0.486508 0.873676i \(-0.338270\pi\)
−0.849538 + 0.527528i \(0.823119\pi\)
\(102\) 2.15277 6.22002i 0.213156 0.615874i
\(103\) 0.245315 + 5.14980i 0.0241716 + 0.507424i 0.978195 + 0.207691i \(0.0665948\pi\)
−0.954023 + 0.299734i \(0.903102\pi\)
\(104\) −11.3605 + 7.30097i −1.11399 + 0.715919i
\(105\) −2.43473 2.70005i −0.237605 0.263498i
\(106\) −1.73933 + 0.510713i −0.168939 + 0.0496049i
\(107\) −9.18641 7.22427i −0.888084 0.698397i 0.0660377 0.997817i \(-0.478964\pi\)
−0.954121 + 0.299420i \(0.903207\pi\)
\(108\) 0.551605 + 0.106313i 0.0530782 + 0.0102300i
\(109\) 16.8859 1.61241i 1.61738 0.154441i 0.753258 0.657725i \(-0.228481\pi\)
0.864121 + 0.503284i \(0.167875\pi\)
\(110\) −5.66206 + 5.39876i −0.539856 + 0.514752i
\(111\) 3.56816 + 7.81319i 0.338675 + 0.741595i
\(112\) 11.9006 + 4.49334i 1.12450 + 0.424581i
\(113\) 10.2025 + 6.55676i 0.959773 + 0.616808i 0.923935 0.382549i \(-0.124954\pi\)
0.0358376 + 0.999358i \(0.488590\pi\)
\(114\) 0.646751 1.12021i 0.0605738 0.104917i
\(115\) −5.04790 + 4.23672i −0.470719 + 0.395076i
\(116\) −0.678461 1.17513i −0.0629935 0.109108i
\(117\) 5.21425 2.68813i 0.482057 0.248518i
\(118\) −1.33113 9.25821i −0.122540 0.852287i
\(119\) −6.13470 + 8.98587i −0.562367 + 0.823734i
\(120\) 3.03515 + 0.891199i 0.277070 + 0.0813550i
\(121\) 0.958617 + 1.34619i 0.0871470 + 0.122381i
\(122\) 0.752003 + 0.144937i 0.0680832 + 0.0131220i
\(123\) 10.9543 4.38546i 0.987720 0.395423i
\(124\) 0.411348 1.69560i 0.0369401 0.152269i
\(125\) −7.29956 8.42414i −0.652893 0.753478i
\(126\) −3.80154 1.86563i −0.338668 0.166203i
\(127\) −0.907863 + 0.583448i −0.0805598 + 0.0517727i −0.580301 0.814402i \(-0.697065\pi\)
0.499741 + 0.866175i \(0.333429\pi\)
\(128\) −13.4073 + 2.58405i −1.18505 + 0.228400i
\(129\) 2.46619 + 2.35151i 0.217136 + 0.207039i
\(130\) −11.9783 + 4.79539i −1.05057 + 0.420584i
\(131\) −0.411473 1.18887i −0.0359505 0.103872i 0.925597 0.378510i \(-0.123563\pi\)
−0.961548 + 0.274638i \(0.911442\pi\)
\(132\) −0.830081 + 1.81762i −0.0722493 + 0.158204i
\(133\) −1.51801 + 1.50583i −0.131628 + 0.130572i
\(134\) −7.22040 15.8105i −0.623748 1.36582i
\(135\) −1.27572 0.510722i −0.109797 0.0439560i
\(136\) 0.450437 9.45584i 0.0386247 0.810832i
\(137\) −1.78119 3.08511i −0.152177 0.263578i 0.779850 0.625966i \(-0.215295\pi\)
−0.932028 + 0.362387i \(0.881962\pi\)
\(138\) −3.62433 + 6.76644i −0.308523 + 0.575997i
\(139\) −0.179767 −0.0152476 −0.00762380 0.999971i \(-0.502427\pi\)
−0.00762380 + 0.999971i \(0.502427\pi\)
\(140\) 1.73964 + 1.07000i 0.147027 + 0.0904312i
\(141\) −1.26415 8.79236i −0.106461 0.740450i
\(142\) 17.4453 + 1.66583i 1.46398 + 0.139793i
\(143\) 4.91959 + 20.2788i 0.411397 + 1.69580i
\(144\) 4.78617 0.457024i 0.398848 0.0380853i
\(145\) 1.08563 + 3.13672i 0.0901565 + 0.260490i
\(146\) 2.57673 17.9216i 0.213252 1.48320i
\(147\) 5.25317 + 4.62647i 0.433274 + 0.381585i
\(148\) −3.15980 3.64660i −0.259734 0.299749i
\(149\) 0.623437 + 13.0876i 0.0510740 + 1.07217i 0.868357 + 0.495939i \(0.165176\pi\)
−0.817283 + 0.576236i \(0.804521\pi\)
\(150\) −4.42677 2.28216i −0.361444 0.186337i
\(151\) 1.63434 4.72210i 0.133000 0.384279i −0.858761 0.512376i \(-0.828766\pi\)
0.991762 + 0.128096i \(0.0408867\pi\)
\(152\) 0.438599 1.80793i 0.0355751 0.146642i
\(153\) −0.585250 + 4.07050i −0.0473146 + 0.329081i
\(154\) 9.63707 11.5766i 0.776577 0.932868i
\(155\) −1.77301 + 3.88235i −0.142412 + 0.311838i
\(156\) −2.38505 + 2.27414i −0.190957 + 0.182077i
\(157\) 5.15026 7.23253i 0.411036 0.577219i −0.556216 0.831038i \(-0.687747\pi\)
0.967252 + 0.253819i \(0.0816868\pi\)
\(158\) −18.1913 + 14.3058i −1.44722 + 1.13811i
\(159\) 1.00668 0.518981i 0.0798352 0.0411579i
\(160\) −4.24805 −0.335838
\(161\) 8.71907 9.21834i 0.687159 0.726507i
\(162\) −1.60055 −0.125751
\(163\) 3.71293 1.91415i 0.290819 0.149928i −0.306644 0.951824i \(-0.599206\pi\)
0.597462 + 0.801897i \(0.296176\pi\)
\(164\) −5.21034 + 4.09746i −0.406859 + 0.319958i
\(165\) 2.83529 3.98161i 0.220727 0.309968i
\(166\) −10.6702 + 10.1740i −0.828168 + 0.789657i
\(167\) −1.74641 + 3.82409i −0.135141 + 0.295917i −0.965088 0.261924i \(-0.915643\pi\)
0.829948 + 0.557841i \(0.188370\pi\)
\(168\) −6.00202 1.03415i −0.463066 0.0797864i
\(169\) −3.04759 + 21.1965i −0.234430 + 1.63050i
\(170\) 2.13238 8.78979i 0.163546 0.674146i
\(171\) −0.264324 + 0.763713i −0.0202133 + 0.0584026i
\(172\) −1.70144 0.877153i −0.129734 0.0668823i
\(173\) −0.221500 4.64986i −0.0168403 0.353522i −0.991523 0.129930i \(-0.958525\pi\)
0.974683 0.223592i \(-0.0717784\pi\)
\(174\) 2.53177 + 2.92182i 0.191933 + 0.221503i
\(175\) 6.06951 + 5.56233i 0.458811 + 0.420473i
\(176\) −2.43388 + 16.9280i −0.183461 + 1.27600i
\(177\) 1.91134 + 5.52247i 0.143665 + 0.415094i
\(178\) 2.05156 0.195900i 0.153771 0.0146834i
\(179\) 4.48838 + 18.5014i 0.335478 + 1.38286i 0.850633 + 0.525761i \(0.176219\pi\)
−0.515155 + 0.857097i \(0.672266\pi\)
\(180\) 0.768446 + 0.0733777i 0.0572766 + 0.00546925i
\(181\) −1.08697 7.56007i −0.0807941 0.561935i −0.989504 0.144507i \(-0.953840\pi\)
0.908710 0.417429i \(-0.137069\pi\)
\(182\) 21.8511 11.8177i 1.61971 0.875985i
\(183\) −0.478488 −0.0353708
\(184\) −2.25976 + 10.8062i −0.166591 + 0.796640i
\(185\) 5.90159 + 10.2219i 0.433894 + 0.751526i
\(186\) −0.236540 + 4.96558i −0.0173439 + 0.364094i
\(187\) −13.5801 5.43663i −0.993072 0.397566i
\(188\) 2.07290 + 4.53902i 0.151182 + 0.331042i
\(189\) 2.55282 + 0.695052i 0.185691 + 0.0505576i
\(190\) 0.738390 1.61685i 0.0535684 0.117298i
\(191\) −4.10188 11.8516i −0.296801 0.857551i −0.990528 0.137312i \(-0.956154\pi\)
0.693727 0.720239i \(-0.255968\pi\)
\(192\) 4.33359 1.73491i 0.312750 0.125206i
\(193\) −13.3423 12.7218i −0.960397 0.915736i 0.0361016 0.999348i \(-0.488506\pi\)
−0.996498 + 0.0836116i \(0.973354\pi\)
\(194\) 22.1293 4.26508i 1.58879 0.306215i
\(195\) 6.78162 4.35828i 0.485642 0.312103i
\(196\) −3.56367 1.66228i −0.254548 0.118734i
\(197\) −12.8471 14.8264i −0.915321 1.05634i −0.998212 0.0597780i \(-0.980961\pi\)
0.0828908 0.996559i \(-0.473585\pi\)
\(198\) 1.34223 5.53275i 0.0953882 0.393196i
\(199\) 21.7116 8.69202i 1.53910 0.616161i 0.561656 0.827371i \(-0.310165\pi\)
0.977441 + 0.211210i \(0.0677403\pi\)
\(200\) −7.03361 1.35562i −0.497351 0.0958566i
\(201\) 6.29914 + 8.84590i 0.444307 + 0.623942i
\(202\) −7.74167 2.27316i −0.544702 0.159939i
\(203\) −2.76927 5.75965i −0.194364 0.404248i
\(204\) −0.328768 2.28663i −0.0230183 0.160096i
\(205\) 14.4120 7.42989i 1.00658 0.518926i
\(206\) 4.12592 + 7.14631i 0.287467 + 0.497907i
\(207\) 1.42343 4.57972i 0.0989355 0.318313i
\(208\) −14.1026 + 24.4264i −0.977840 + 1.69367i
\(209\) −2.41833 1.55417i −0.167279 0.107504i
\(210\) −5.44395 2.05549i −0.375669 0.141842i
\(211\) 8.41175 + 18.4192i 0.579089 + 1.26803i 0.941815 + 0.336132i \(0.109119\pi\)
−0.362726 + 0.931896i \(0.618154\pi\)
\(212\) −0.460467 + 0.439054i −0.0316250 + 0.0301544i
\(213\) −10.8996 + 1.04079i −0.746828 + 0.0713135i
\(214\) −18.3672 3.53999i −1.25556 0.241988i
\(215\) 3.68074 + 2.89457i 0.251025 + 0.197408i
\(216\) −2.20873 + 0.648542i −0.150285 + 0.0441277i
\(217\) 2.53362 7.81721i 0.171993 0.530667i
\(218\) 22.8398 14.6782i 1.54691 0.994136i
\(219\) 0.538260 + 11.2995i 0.0363723 + 0.763548i
\(220\) −0.898075 + 2.59482i −0.0605482 + 0.174943i
\(221\) −17.4598 16.6479i −1.17448 1.11986i
\(222\) 10.8065 + 8.49830i 0.725282 + 0.570368i
\(223\) −17.2349 + 19.8901i −1.15413 + 1.33194i −0.219800 + 0.975545i \(0.570541\pi\)
−0.934334 + 0.356398i \(0.884005\pi\)
\(224\) 8.12504 0.938310i 0.542877 0.0626935i
\(225\) 2.98565 + 0.876665i 0.199043 + 0.0584444i
\(226\) 19.3232 + 1.84514i 1.28536 + 0.122737i
\(227\) 9.97131 7.84153i 0.661819 0.520460i −0.229805 0.973237i \(-0.573809\pi\)
0.891624 + 0.452776i \(0.149566\pi\)
\(228\) 0.0216017 0.453476i 0.00143061 0.0300322i
\(229\) 10.1981 17.6636i 0.673910 1.16725i −0.302876 0.953030i \(-0.597947\pi\)
0.976786 0.214217i \(-0.0687199\pi\)
\(230\) −4.07400 + 9.72946i −0.268631 + 0.641541i
\(231\) −4.54346 + 8.24168i −0.298938 + 0.542263i
\(232\) 4.67773 + 3.00619i 0.307108 + 0.197366i
\(233\) −17.6789 7.07757i −1.15818 0.463667i −0.288599 0.957450i \(-0.593189\pi\)
−0.869585 + 0.493783i \(0.835614\pi\)
\(234\) 5.44640 7.64840i 0.356043 0.499992i
\(235\) −2.87775 11.8622i −0.187724 0.773808i
\(236\) −1.90423 2.67412i −0.123955 0.174070i
\(237\) 9.46873 10.9275i 0.615060 0.709817i
\(238\) −2.13701 + 17.2828i −0.138522 + 1.12028i
\(239\) −11.5863 + 3.40203i −0.749452 + 0.220059i −0.634084 0.773264i \(-0.718623\pi\)
−0.115368 + 0.993323i \(0.536805\pi\)
\(240\) 6.48747 1.25036i 0.418765 0.0807102i
\(241\) −18.3646 9.46760i −1.18297 0.609862i −0.249447 0.968388i \(-0.580249\pi\)
−0.933519 + 0.358527i \(0.883279\pi\)
\(242\) 2.35107 + 1.21206i 0.151132 + 0.0779141i
\(243\) 0.981929 0.189251i 0.0629908 0.0121405i
\(244\) 0.257906 0.0757279i 0.0165107 0.00484798i
\(245\) 7.79031 + 5.64252i 0.497705 + 0.360488i
\(246\) 12.3676 14.2729i 0.788527 0.910008i
\(247\) −2.75004 3.86189i −0.174981 0.245726i
\(248\) 1.68563 + 6.94827i 0.107038 + 0.441215i
\(249\) 5.34313 7.50337i 0.338607 0.475507i
\(250\) −16.5629 6.63079i −1.04753 0.419368i
\(251\) −3.66329 2.35425i −0.231225 0.148599i 0.419899 0.907571i \(-0.362066\pi\)
−0.651123 + 0.758972i \(0.725702\pi\)
\(252\) −1.48598 + 0.0293884i −0.0936077 + 0.00185129i
\(253\) 14.6374 + 8.76109i 0.920246 + 0.550805i
\(254\) −0.863639 + 1.49587i −0.0541895 + 0.0938590i
\(255\) −0.268887 + 5.64463i −0.0168383 + 0.353480i
\(256\) −9.83989 + 7.73817i −0.614993 + 0.483636i
\(257\) 29.3566 + 2.80322i 1.83122 + 0.174860i 0.952913 0.303245i \(-0.0980702\pi\)
0.878303 + 0.478105i \(0.158676\pi\)
\(258\) 5.23309 + 1.53657i 0.325798 + 0.0956629i
\(259\) −13.5455 18.2473i −0.841676 1.13383i
\(260\) −2.96554 + 3.42241i −0.183915 + 0.212249i
\(261\) −1.89871 1.49316i −0.117527 0.0924244i
\(262\) −1.45731 1.38954i −0.0900327 0.0858460i
\(263\) 4.97177 14.3650i 0.306572 0.885782i −0.681504 0.731815i \(-0.738674\pi\)
0.988076 0.153968i \(-0.0492051\pi\)
\(264\) −0.389613 8.17899i −0.0239790 0.503382i
\(265\) 1.30929 0.841427i 0.0804288 0.0516885i
\(266\) −1.05515 + 3.25556i −0.0646956 + 0.199611i
\(267\) −1.23546 + 0.362764i −0.0756089 + 0.0222008i
\(268\) −4.79524 3.77102i −0.292916 0.230352i
\(269\) −2.39455 0.461512i −0.145998 0.0281389i 0.115728 0.993281i \(-0.463080\pi\)
−0.261727 + 0.965142i \(0.584292\pi\)
\(270\) −2.18945 + 0.209067i −0.133245 + 0.0127234i
\(271\) 3.92472 3.74221i 0.238410 0.227323i −0.561449 0.827511i \(-0.689756\pi\)
0.799859 + 0.600188i \(0.204908\pi\)
\(272\) −8.21358 17.9852i −0.498021 1.09051i
\(273\) −12.0082 + 9.83380i −0.726771 + 0.595169i
\(274\) −4.79662 3.08260i −0.289774 0.186227i
\(275\) −5.53423 + 9.58557i −0.333727 + 0.578031i
\(276\) −0.0424228 + 2.69375i −0.00255355 + 0.162145i
\(277\) −9.48013 16.4201i −0.569606 0.986587i −0.996605 0.0823344i \(-0.973762\pi\)
0.426999 0.904252i \(-0.359571\pi\)
\(278\) −0.255740 + 0.131843i −0.0153383 + 0.00790743i
\(279\) −0.442021 3.07433i −0.0264631 0.184055i
\(280\) −8.34546 0.630654i −0.498737 0.0376888i
\(281\) 27.2278 + 7.99481i 1.62428 + 0.476930i 0.962163 0.272475i \(-0.0878421\pi\)
0.662112 + 0.749405i \(0.269660\pi\)
\(282\) −8.24685 11.5811i −0.491093 0.689643i
\(283\) 5.00887 + 0.965380i 0.297746 + 0.0573859i 0.335937 0.941885i \(-0.390947\pi\)
−0.0381904 + 0.999270i \(0.512159\pi\)
\(284\) 5.71018 2.28601i 0.338837 0.135650i
\(285\) −0.261820 + 1.07924i −0.0155089 + 0.0639284i
\(286\) 21.8715 + 25.2410i 1.29329 + 1.49253i
\(287\) −25.9240 + 17.3941i −1.53024 + 1.02674i
\(288\) 2.60064 1.67133i 0.153244 0.0984841i
\(289\) −0.0869048 + 0.0167495i −0.00511204 + 0.000985266i
\(290\) 3.84495 + 3.66615i 0.225783 + 0.215284i
\(291\) −13.0719 + 5.23321i −0.766289 + 0.306776i
\(292\) −2.07843 6.00524i −0.121631 0.351430i
\(293\) 13.5228 29.6108i 0.790011 1.72988i 0.113390 0.993551i \(-0.463829\pi\)
0.676620 0.736332i \(-0.263444\pi\)
\(294\) 10.8664 + 2.72898i 0.633742 + 0.159157i
\(295\) 3.33595 + 7.30471i 0.194227 + 0.425297i
\(296\) 18.3563 + 7.34874i 1.06694 + 0.427137i
\(297\) −0.169251 + 3.55302i −0.00982096 + 0.206167i
\(298\) 10.4855 + 18.1614i 0.607410 + 1.05206i
\(299\) 17.0410 + 22.3861i 0.985507 + 1.29462i
\(300\) −1.74801 −0.100922
\(301\) −7.67933 4.72330i −0.442629 0.272246i
\(302\) −1.13821 7.91642i −0.0654966 0.455539i
\(303\) 5.01826 + 0.479185i 0.288291 + 0.0275285i
\(304\) −0.916063 3.77607i −0.0525398 0.216572i
\(305\) −0.654540 + 0.0625010i −0.0374788 + 0.00357880i
\(306\) 2.15277 + 6.22002i 0.123066 + 0.355575i
\(307\) −0.364422 + 2.53461i −0.0207987 + 0.144658i −0.997575 0.0696054i \(-0.977826\pi\)
0.976776 + 0.214263i \(0.0687351\pi\)
\(308\) 1.14456 5.16135i 0.0652174 0.294095i
\(309\) −3.37622 3.89637i −0.192067 0.221657i
\(310\) 0.325043 + 6.82348i 0.0184612 + 0.387548i
\(311\) 4.42342 + 2.28043i 0.250829 + 0.129311i 0.579057 0.815287i \(-0.303421\pi\)
−0.328228 + 0.944599i \(0.606451\pi\)
\(312\) 4.41682 12.7616i 0.250053 0.722481i
\(313\) 0.895393 3.69086i 0.0506106 0.208620i −0.940892 0.338707i \(-0.890011\pi\)
0.991503 + 0.130087i \(0.0415257\pi\)
\(314\) 2.02245 14.0664i 0.114133 0.793815i
\(315\) 3.58288 + 0.617332i 0.201873 + 0.0347827i
\(316\) −3.37422 + 7.38850i −0.189815 + 0.415636i
\(317\) −5.60172 + 5.34123i −0.314624 + 0.299993i −0.830892 0.556434i \(-0.812169\pi\)
0.516268 + 0.856427i \(0.327321\pi\)
\(318\) 1.05150 1.47663i 0.0589654 0.0828053i
\(319\) 6.75381 5.31126i 0.378141 0.297373i
\(320\) 5.70145 2.93930i 0.318721 0.164312i
\(321\) 11.6868 0.652291
\(322\) 5.64310 19.5089i 0.314477 1.08719i
\(323\) 3.32345 0.184922
\(324\) −0.499309 + 0.257412i −0.0277394 + 0.0143006i
\(325\) −14.3489 + 11.2841i −0.795934 + 0.625930i
\(326\) 3.87824 5.44622i 0.214796 0.301638i
\(327\) −12.2765 + 11.7056i −0.678893 + 0.647323i
\(328\) 11.2837 24.7078i 0.623035 1.36426i
\(329\) 8.12427 + 22.0527i 0.447905 + 1.21581i
\(330\) 1.11339 7.74377i 0.0612899 0.426280i
\(331\) −6.73176 + 27.7487i −0.370011 + 1.52521i 0.417368 + 0.908738i \(0.362953\pi\)
−0.787379 + 0.616469i \(0.788563\pi\)
\(332\) −1.69243 + 4.88996i −0.0928842 + 0.268371i
\(333\) −7.63456 3.93589i −0.418371 0.215685i
\(334\) 0.320165 + 6.72109i 0.0175186 + 0.367762i
\(335\) 9.77227 + 11.2778i 0.533916 + 0.616172i
\(336\) −12.1321 + 3.82445i −0.661860 + 0.208641i
\(337\) −0.704772 + 4.90180i −0.0383914 + 0.267018i −0.999972 0.00750534i \(-0.997611\pi\)
0.961580 + 0.274523i \(0.0885200\pi\)
\(338\) 11.2102 + 32.3897i 0.609754 + 1.76177i
\(339\) −12.0728 + 1.15282i −0.655707 + 0.0626124i
\(340\) −0.748417 3.08502i −0.0405886 0.167308i
\(341\) 10.9980 + 1.05018i 0.595573 + 0.0568704i
\(342\) 0.184085 + 1.28034i 0.00995415 + 0.0692326i
\(343\) −16.1465 9.07146i −0.871828 0.489813i
\(344\) 7.84420 0.422931
\(345\) 1.34895 6.45069i 0.0726251 0.347293i
\(346\) −3.72538 6.45255i −0.200278 0.346891i
\(347\) −1.16364 + 24.4277i −0.0624673 + 1.31135i 0.722309 + 0.691570i \(0.243081\pi\)
−0.784776 + 0.619779i \(0.787222\pi\)
\(348\) 1.25972 + 0.504317i 0.0675282 + 0.0270342i
\(349\) 9.49760 + 20.7968i 0.508395 + 1.11323i 0.973649 + 0.228052i \(0.0732357\pi\)
−0.465254 + 0.885177i \(0.654037\pi\)
\(350\) 12.7141 + 3.46165i 0.679598 + 0.185033i
\(351\) −2.43698 + 5.33625i −0.130077 + 0.284828i
\(352\) 3.59651 + 10.3914i 0.191695 + 0.553866i
\(353\) −1.44009 + 0.576525i −0.0766483 + 0.0306853i −0.409670 0.912234i \(-0.634356\pi\)
0.333022 + 0.942919i \(0.391932\pi\)
\(354\) 6.76938 + 6.45459i 0.359789 + 0.343058i
\(355\) −14.7740 + 2.84745i −0.784122 + 0.151127i
\(356\) 0.608502 0.391060i 0.0322505 0.0207261i
\(357\) −0.732498 10.8556i −0.0387679 0.574539i
\(358\) 19.9545 + 23.0287i 1.05463 + 1.21710i
\(359\) −0.570014 + 2.34963i −0.0300842 + 0.124009i −0.984874 0.173274i \(-0.944565\pi\)
0.954789 + 0.297283i \(0.0960805\pi\)
\(360\) −2.93669 + 1.17567i −0.154777 + 0.0619634i
\(361\) −18.0153 3.47217i −0.948175 0.182746i
\(362\) −7.09101 9.95793i −0.372695 0.523377i
\(363\) −1.58568 0.465599i −0.0832268 0.0244376i
\(364\) 4.91610 7.20091i 0.257674 0.377430i
\(365\) 2.21226 + 15.3866i 0.115795 + 0.805373i
\(366\) −0.680708 + 0.350930i −0.0355812 + 0.0183434i
\(367\) 15.7231 + 27.2332i 0.820738 + 1.42156i 0.905134 + 0.425127i \(0.139771\pi\)
−0.0843956 + 0.996432i \(0.526896\pi\)
\(368\) 6.14703 + 22.2236i 0.320436 + 1.15849i
\(369\) −5.89978 + 10.2187i −0.307130 + 0.531966i
\(370\) 15.8926 + 10.2136i 0.826217 + 0.530977i
\(371\) −2.31835 + 1.89855i −0.120363 + 0.0985679i
\(372\) 0.724809 + 1.58711i 0.0375796 + 0.0822878i
\(373\) −19.6212 + 18.7088i −1.01595 + 0.968704i −0.999514 0.0311615i \(-0.990079\pi\)
−0.0164326 + 0.999865i \(0.505231\pi\)
\(374\) −23.3066 + 2.22551i −1.20516 + 0.115078i
\(375\) 10.9453 + 2.10953i 0.565213 + 0.108936i
\(376\) −16.0732 12.6401i −0.828911 0.651863i
\(377\) 13.5962 3.99222i 0.700242 0.205610i
\(378\) 4.14147 0.883477i 0.213014 0.0454411i
\(379\) −0.0290815 + 0.0186895i −0.00149381 + 0.000960017i −0.541388 0.840773i \(-0.682101\pi\)
0.539894 + 0.841733i \(0.318464\pi\)
\(380\) −0.0296841 0.623147i −0.00152276 0.0319667i
\(381\) 0.352965 1.01982i 0.0180829 0.0522472i
\(382\) −14.5275 13.8520i −0.743294 0.708729i
\(383\) −17.6083 13.8474i −0.899744 0.707567i 0.0570381 0.998372i \(-0.481834\pi\)
−0.956782 + 0.290805i \(0.906077\pi\)
\(384\) 8.94152 10.3191i 0.456295 0.526593i
\(385\) −5.13861 + 11.8676i −0.261888 + 0.604827i
\(386\) −28.3114 8.31297i −1.44101 0.423119i
\(387\) −3.39216 0.323912i −0.172433 0.0164654i
\(388\) 6.21755 4.88953i 0.315648 0.248228i
\(389\) −0.573756 + 12.0446i −0.0290906 + 0.610686i 0.936508 + 0.350647i \(0.114038\pi\)
−0.965598 + 0.260039i \(0.916265\pi\)
\(390\) 6.45127 11.1739i 0.326673 0.565814i
\(391\) −19.7122 + 0.628097i −0.996888 + 0.0317642i
\(392\) 16.1013 0.637123i 0.813236 0.0321796i
\(393\) 1.05835 + 0.680161i 0.0533868 + 0.0343096i
\(394\) −29.1505 11.6701i −1.46858 0.587932i
\(395\) 11.5252 16.1849i 0.579897 0.814352i
\(396\) −0.471093 1.94187i −0.0236733 0.0975827i
\(397\) −15.4110 21.6418i −0.773457 1.08617i −0.993848 0.110757i \(-0.964672\pi\)
0.220390 0.975412i \(-0.429267\pi\)
\(398\) 24.5126 28.2891i 1.22871 1.41800i
\(399\) 0.262388 2.12203i 0.0131359 0.106235i
\(400\) −14.3548 + 4.21496i −0.717741 + 0.210748i
\(401\) 3.08860 0.595280i 0.154238 0.0297268i −0.111548 0.993759i \(-0.535581\pi\)
0.265785 + 0.964032i \(0.414369\pi\)
\(402\) 15.4490 + 7.96452i 0.770527 + 0.397234i
\(403\) 16.1951 + 8.34918i 0.806738 + 0.415902i
\(404\) −2.78069 + 0.535933i −0.138344 + 0.0266637i
\(405\) 1.31849 0.387145i 0.0655165 0.0192374i
\(406\) −8.16383 6.16280i −0.405164 0.305855i
\(407\) 20.0079 23.0904i 0.991756 1.14455i
\(408\) 5.49115 + 7.71124i 0.271852 + 0.381763i
\(409\) −1.50258 6.19372i −0.0742978 0.306260i 0.922522 0.385944i \(-0.126124\pi\)
−0.996820 + 0.0796840i \(0.974609\pi\)
\(410\) 15.0537 21.1399i 0.743447 1.04403i
\(411\) 3.30719 + 1.32400i 0.163132 + 0.0653081i
\(412\) 2.43645 + 1.56581i 0.120035 + 0.0771419i
\(413\) −7.99397 13.2345i −0.393358 0.651228i
\(414\) −1.33382 7.55919i −0.0655536 0.371514i
\(415\) 6.32894 10.9620i 0.310676 0.538106i
\(416\) −0.862910 + 18.1147i −0.0423077 + 0.888147i
\(417\) 0.141306 0.111124i 0.00691979 0.00544178i
\(418\) −4.58022 0.437358i −0.224026 0.0213919i
\(419\) 1.85075 + 0.543428i 0.0904149 + 0.0265482i 0.326627 0.945153i \(-0.394088\pi\)
−0.236212 + 0.971701i \(0.575906\pi\)
\(420\) −2.02888 + 0.234303i −0.0989992 + 0.0114328i
\(421\) 2.33330 2.69278i 0.113718 0.131238i −0.696036 0.718007i \(-0.745055\pi\)
0.809755 + 0.586769i \(0.199600\pi\)
\(422\) 25.4756 + 20.0343i 1.24013 + 0.975253i
\(423\) 6.42877 + 6.12982i 0.312577 + 0.298042i
\(424\) 0.852728 2.46380i 0.0414122 0.119653i
\(425\) −0.608877 12.7819i −0.0295349 0.620013i
\(426\) −14.7427 + 9.47457i −0.714287 + 0.459044i
\(427\) 1.23810 0.264117i 0.0599159 0.0127815i
\(428\) −6.29917 + 1.84960i −0.304482 + 0.0894040i
\(429\) −16.4026 12.8991i −0.791925 0.622776i
\(430\) 7.35923 + 1.41838i 0.354894 + 0.0684001i
\(431\) −4.11612 + 0.393042i −0.198267 + 0.0189322i −0.193717 0.981057i \(-0.562054\pi\)
−0.00454978 + 0.999990i \(0.501448\pi\)
\(432\) −3.47967 + 3.31786i −0.167416 + 0.159631i
\(433\) −7.08196 15.5073i −0.340338 0.745235i 0.659642 0.751580i \(-0.270708\pi\)
−0.999980 + 0.00634443i \(0.997980\pi\)
\(434\) −2.12886 12.9792i −0.102189 0.623019i
\(435\) −2.79235 1.79453i −0.133883 0.0860413i
\(436\) 4.76447 8.25230i 0.228177 0.395213i
\(437\) −3.82719 0.611926i −0.183080 0.0292724i
\(438\) 9.05293 + 15.6801i 0.432566 + 0.749226i
\(439\) −11.1600 + 5.75336i −0.532636 + 0.274593i −0.703492 0.710703i \(-0.748377\pi\)
0.170856 + 0.985296i \(0.445347\pi\)
\(440\) −1.60132 11.1374i −0.0763399 0.530956i
\(441\) −6.98916 0.389353i −0.332817 0.0185406i
\(442\) −37.0486 10.8785i −1.76222 0.517435i
\(443\) −13.9429 19.5800i −0.662446 0.930276i 0.337493 0.941328i \(-0.390421\pi\)
−0.999939 + 0.0110526i \(0.996482\pi\)
\(444\) 4.73795 + 0.913165i 0.224853 + 0.0433369i
\(445\) −1.64264 + 0.657615i −0.0778688 + 0.0311739i
\(446\) −9.93109 + 40.9365i −0.470251 + 1.93840i
\(447\) −8.58025 9.90213i −0.405832 0.468355i
\(448\) −10.2557 + 6.88120i −0.484534 + 0.325106i
\(449\) 0.666514 0.428343i 0.0314548 0.0202147i −0.524819 0.851214i \(-0.675867\pi\)
0.556274 + 0.830999i \(0.312231\pi\)
\(450\) 4.89041 0.942550i 0.230536 0.0444322i
\(451\) −30.3763 28.9638i −1.43037 1.36385i
\(452\) 6.32483 2.53208i 0.297495 0.119099i
\(453\) 1.63434 + 4.72210i 0.0767878 + 0.221864i
\(454\) 8.43435 18.4686i 0.395844 0.866777i
\(455\) −15.1419 + 15.0205i −0.709865 + 0.704173i
\(456\) 0.772826 + 1.69225i 0.0361909 + 0.0792470i
\(457\) 15.8820 + 6.35817i 0.742926 + 0.297423i 0.712077 0.702101i \(-0.247755\pi\)
0.0308492 + 0.999524i \(0.490179\pi\)
\(458\) 1.55332 32.6082i 0.0725818 1.52368i
\(459\) −2.05618 3.56141i −0.0959742 0.166232i
\(460\) 0.293832 + 3.69042i 0.0137000 + 0.172067i
\(461\) −15.5766 −0.725473 −0.362737 0.931892i \(-0.618158\pi\)
−0.362737 + 0.931892i \(0.618158\pi\)
\(462\) −0.419076 + 15.0571i −0.0194972 + 0.700518i
\(463\) −2.39961 16.6897i −0.111519 0.775635i −0.966443 0.256881i \(-0.917305\pi\)
0.854924 0.518754i \(-0.173604\pi\)
\(464\) 11.5610 + 1.10394i 0.536705 + 0.0512492i
\(465\) −1.00623 4.14774i −0.0466628 0.192347i
\(466\) −30.3412 + 2.89724i −1.40553 + 0.134212i
\(467\) −4.19564 12.1225i −0.194151 0.560963i 0.805342 0.592811i \(-0.201982\pi\)
−0.999493 + 0.0318481i \(0.989861\pi\)
\(468\) 0.468995 3.26193i 0.0216793 0.150783i
\(469\) −21.1820 19.4120i −0.978094 0.896364i
\(470\) −12.7939 14.7649i −0.590138 0.681056i
\(471\) 0.422475 + 8.86883i 0.0194666 + 0.408654i
\(472\) 11.9570 + 6.16428i 0.550368 + 0.283734i
\(473\) 3.96438 11.4543i 0.182283 0.526671i
\(474\) 5.45607 22.4902i 0.250606 1.03301i
\(475\) 0.357886 2.48915i 0.0164210 0.114210i
\(476\) 2.11288 + 5.73525i 0.0968436 + 0.262875i
\(477\) −0.470493 + 1.03024i −0.0215424 + 0.0471713i
\(478\) −13.9878 + 13.3373i −0.639787 + 0.610035i
\(479\) −15.3839 + 21.6037i −0.702910 + 0.987099i 0.296575 + 0.955010i \(0.404156\pi\)
−0.999485 + 0.0320897i \(0.989784\pi\)
\(480\) 3.33919 2.62597i 0.152413 0.119859i
\(481\) 44.7872 23.0894i 2.04212 1.05279i
\(482\) −33.0696 −1.50628
\(483\) −1.15525 + 12.6359i −0.0525656 + 0.574952i
\(484\) 0.928373 0.0421988
\(485\) −17.1980 + 8.86616i −0.780919 + 0.402592i
\(486\) 1.25812 0.989394i 0.0570693 0.0448798i
\(487\) −8.89204 + 12.4871i −0.402937 + 0.565846i −0.965333 0.261022i \(-0.915940\pi\)
0.562396 + 0.826868i \(0.309880\pi\)
\(488\) −0.797171 + 0.760101i −0.0360862 + 0.0344081i
\(489\) −1.73531 + 3.79980i −0.0784734 + 0.171833i
\(490\) 15.2210 + 2.31367i 0.687614 + 0.104521i
\(491\) −1.45883 + 10.1464i −0.0658361 + 0.457900i 0.930061 + 0.367405i \(0.119754\pi\)
−0.995897 + 0.0904945i \(0.971155\pi\)
\(492\) 1.56272 6.44164i 0.0704530 0.290411i
\(493\) −3.24890 + 9.38707i −0.146323 + 0.422772i
\(494\) −6.74464 3.47710i −0.303456 0.156442i
\(495\) 0.232578 + 4.88241i 0.0104536 + 0.219448i
\(496\) 9.77916 + 11.2857i 0.439097 + 0.506745i
\(497\) 27.6286 8.70947i 1.23931 0.390673i
\(498\) 2.09819 14.5932i 0.0940219 0.653937i
\(499\) −5.14618 14.8689i −0.230375 0.665624i −0.999644 0.0266985i \(-0.991501\pi\)
0.769269 0.638925i \(-0.220621\pi\)
\(500\) −6.23340 + 0.595217i −0.278766 + 0.0266189i
\(501\) −0.991131 4.08550i −0.0442805 0.182527i
\(502\) −6.93813 0.662511i −0.309664 0.0295693i
\(503\) 6.00350 + 41.7553i 0.267683 + 1.86178i 0.470286 + 0.882514i \(0.344151\pi\)
−0.202603 + 0.979261i \(0.564940\pi\)
\(504\) 5.35718 2.89731i 0.238628 0.129056i
\(505\) 6.92724 0.308258
\(506\) 27.2490 + 1.72846i 1.21137 + 0.0768395i
\(507\) −10.7072 18.5454i −0.475524 0.823632i
\(508\) −0.0288458 + 0.605549i −0.00127983 + 0.0268669i
\(509\) −3.73601 1.49567i −0.165596 0.0662945i 0.287384 0.957816i \(-0.407215\pi\)
−0.452979 + 0.891521i \(0.649639\pi\)
\(510\) 3.75732 + 8.22739i 0.166377 + 0.364315i
\(511\) −7.62989 28.9406i −0.337526 1.28026i
\(512\) 3.02104 6.61516i 0.133513 0.292352i
\(513\) −0.264324 0.763713i −0.0116702 0.0337188i
\(514\) 43.8194 17.5426i 1.93279 0.773772i
\(515\) −5.12740 4.88897i −0.225940 0.215434i
\(516\) 1.87964 0.362271i 0.0827466 0.0159481i
\(517\) −26.5807 + 17.0824i −1.16902 + 0.751281i
\(518\) −32.6530 16.0246i −1.43469 0.704081i
\(519\) 3.04846 + 3.51812i 0.133813 + 0.154428i
\(520\) 4.37498 18.0339i 0.191856 0.790839i
\(521\) −25.5095 + 10.2125i −1.11759 + 0.447417i −0.855592 0.517651i \(-0.826807\pi\)
−0.262001 + 0.965068i \(0.584382\pi\)
\(522\) −3.79626 0.731668i −0.166158 0.0320243i
\(523\) 2.66523 + 3.74279i 0.116542 + 0.163661i 0.868726 0.495292i \(-0.164939\pi\)
−0.752184 + 0.658953i \(0.771000\pi\)
\(524\) −0.678098 0.199108i −0.0296229 0.00869806i
\(525\) −8.20936 0.620369i −0.358286 0.0270751i
\(526\) −3.46252 24.0823i −0.150973 1.05004i
\(527\) −11.3529 + 5.85281i −0.494539 + 0.254952i
\(528\) −8.55105 14.8109i −0.372137 0.644560i
\(529\) 22.8157 + 2.90618i 0.991985 + 0.126356i
\(530\) 1.24551 2.15728i 0.0541014 0.0937064i
\(531\) −4.91618 3.15944i −0.213344 0.137108i
\(532\) 0.194416 + 1.18531i 0.00842900 + 0.0513895i
\(533\) −28.7553 62.9654i −1.24553 2.72734i
\(534\) −1.49154 + 1.42218i −0.0645452 + 0.0615437i
\(535\) 15.9867 1.52655i 0.691166 0.0659983i
\(536\) 24.5466 + 4.73097i 1.06025 + 0.204347i
\(537\) −14.9649 11.7685i −0.645783 0.507849i
\(538\) −3.74503 + 1.09964i −0.161460 + 0.0474088i
\(539\) 7.20707 23.8335i 0.310431 1.02658i
\(540\) −0.649398 + 0.417343i −0.0279457 + 0.0179596i
\(541\) 1.45276 + 30.4971i 0.0624589 + 1.31117i 0.784848 + 0.619688i \(0.212741\pi\)
−0.722389 + 0.691487i \(0.756956\pi\)
\(542\) 2.83881 8.20221i 0.121937 0.352315i
\(543\) 5.52774 + 5.27069i 0.237218 + 0.226187i
\(544\) −9.99301 7.85859i −0.428447 0.336934i
\(545\) −15.2645 + 17.6161i −0.653858 + 0.754592i
\(546\) −9.87094 + 22.7968i −0.422437 + 0.975613i
\(547\) 18.4109 + 5.40592i 0.787193 + 0.231141i 0.650534 0.759478i \(-0.274545\pi\)
0.136659 + 0.990618i \(0.456364\pi\)
\(548\) −1.99212 0.190225i −0.0850994 0.00812600i
\(549\) 0.376117 0.295782i 0.0160523 0.0126236i
\(550\) −0.842942 + 17.6955i −0.0359432 + 0.754540i
\(551\) −0.976056 + 1.69058i −0.0415814 + 0.0720211i
\(552\) −4.90363 9.89110i −0.208712 0.420993i
\(553\) −18.4688 + 33.5018i −0.785375 + 1.42464i
\(554\) −25.5294 16.4067i −1.08464 0.697055i
\(555\) −10.9577 4.38680i −0.465128 0.186209i
\(556\) −0.0585770 + 0.0822599i −0.00248422 + 0.00348860i
\(557\) 1.13632 + 4.68396i 0.0481473 + 0.198466i 0.990806 0.135294i \(-0.0431978\pi\)
−0.942658 + 0.333759i \(0.891683\pi\)
\(558\) −2.88358 4.04943i −0.122072 0.171426i
\(559\) 13.0908 15.1076i 0.553682 0.638983i
\(560\) −16.0964 + 6.81632i −0.680195 + 0.288042i
\(561\) 14.0353 4.12115i 0.592573 0.173995i
\(562\) 44.5985 8.59565i 1.88127 0.362585i
\(563\) −8.89095 4.58361i −0.374709 0.193176i 0.260577 0.965453i \(-0.416087\pi\)
−0.635286 + 0.772277i \(0.719118\pi\)
\(564\) −4.43525 2.28653i −0.186758 0.0962803i
\(565\) −16.3643 + 3.15396i −0.688451 + 0.132688i
\(566\) 7.83376 2.30020i 0.329277 0.0966846i
\(567\) −2.43631 + 1.03170i −0.102315 + 0.0433274i
\(568\) −16.5056 + 19.0485i −0.692561 + 0.799258i
\(569\) −8.36250 11.7435i −0.350574 0.492312i 0.601206 0.799094i \(-0.294687\pi\)
−0.951780 + 0.306782i \(0.900748\pi\)
\(570\) 0.419055 + 1.72737i 0.0175523 + 0.0723516i
\(571\) −14.4333 + 20.2687i −0.604014 + 0.848218i −0.997467 0.0711260i \(-0.977341\pi\)
0.393454 + 0.919344i \(0.371280\pi\)
\(572\) 10.8825 + 4.35670i 0.455020 + 0.182163i
\(573\) 10.5505 + 6.78037i 0.440752 + 0.283254i
\(574\) −24.1230 + 43.7583i −1.00688 + 1.82644i
\(575\) −1.65229 + 14.8314i −0.0689051 + 0.618512i
\(576\) −2.33398 + 4.04258i −0.0972493 + 0.168441i
\(577\) 0.385638 8.09554i 0.0160543 0.337022i −0.976524 0.215411i \(-0.930891\pi\)
0.992578 0.121611i \(-0.0388060\pi\)
\(578\) −0.111348 + 0.0875654i −0.00463149 + 0.00364224i
\(579\) 18.3518 + 1.75239i 0.762676 + 0.0728267i
\(580\) 1.78909 + 0.525325i 0.0742880 + 0.0218129i
\(581\) −9.68376 + 22.3645i −0.401750 + 0.927837i
\(582\) −14.7583 + 17.0320i −0.611752 + 0.706000i
\(583\) −3.16675 2.49036i −0.131153 0.103140i
\(584\) 18.8465 + 17.9701i 0.779874 + 0.743608i
\(585\) −2.63660 + 7.61796i −0.109010 + 0.314964i
\(586\) −2.47911 52.0429i −0.102411 2.14987i
\(587\) 35.8435 23.0352i 1.47942 0.950766i 0.482216 0.876053i \(-0.339832\pi\)
0.997205 0.0747134i \(-0.0238042\pi\)
\(588\) 3.82879 0.896278i 0.157897 0.0369619i
\(589\) −2.40842 + 0.707177i −0.0992374 + 0.0291387i
\(590\) 10.1032 + 7.94523i 0.415941 + 0.327100i
\(591\) 19.2636 + 3.71276i 0.792399 + 0.152722i
\(592\) 41.1103 3.92556i 1.68962 0.161340i
\(593\) 17.1636 16.3654i 0.704824 0.672048i −0.250329 0.968161i \(-0.580539\pi\)
0.955153 + 0.296113i \(0.0956904\pi\)
\(594\) 2.36506 + 5.17875i 0.0970394 + 0.212487i
\(595\) −2.41999 14.7541i −0.0992098 0.604858i
\(596\) 6.19193 + 3.97931i 0.253631 + 0.162999i
\(597\) −11.6934 + 20.2536i −0.478581 + 0.828926i
\(598\) 40.6612 + 19.3489i 1.66276 + 0.791234i
\(599\) −5.09328 8.82182i −0.208106 0.360450i 0.743012 0.669278i \(-0.233397\pi\)
−0.951118 + 0.308828i \(0.900063\pi\)
\(600\) 6.36678 3.28230i 0.259923 0.133999i
\(601\) 6.67487 + 46.4248i 0.272274 + 1.89371i 0.424609 + 0.905377i \(0.360411\pi\)
−0.152336 + 0.988329i \(0.548679\pi\)
\(602\) −14.3889 1.08735i −0.586449 0.0443171i
\(603\) −10.4196 3.05948i −0.424320 0.124592i
\(604\) −1.62825 2.28656i −0.0662527 0.0930389i
\(605\) −2.22993 0.429783i −0.0906595 0.0174732i
\(606\) 7.49054 2.99876i 0.304282 0.121816i
\(607\) 1.99311 8.21573i 0.0808980 0.333466i −0.916953 0.398996i \(-0.869359\pi\)
0.997851 + 0.0655300i \(0.0208738\pi\)
\(608\) −1.63607 1.88812i −0.0663512 0.0765734i
\(609\) 5.73717 + 2.81554i 0.232482 + 0.114092i
\(610\) −0.885325 + 0.568964i −0.0358458 + 0.0230367i
\(611\) −51.1681 + 9.86183i −2.07004 + 0.398967i
\(612\) 1.67193 + 1.59418i 0.0675837 + 0.0644410i
\(613\) −3.66675 + 1.46795i −0.148099 + 0.0592898i −0.444528 0.895765i \(-0.646628\pi\)
0.296429 + 0.955055i \(0.404204\pi\)
\(614\) 1.34048 + 3.87307i 0.0540975 + 0.156305i
\(615\) −6.73573 + 14.7492i −0.271611 + 0.594745i
\(616\) 5.52280 + 20.9483i 0.222520 + 0.844032i
\(617\) 7.67586 + 16.8078i 0.309019 + 0.676656i 0.998882 0.0472836i \(-0.0150565\pi\)
−0.689863 + 0.723940i \(0.742329\pi\)
\(618\) −7.66075 3.06690i −0.308161 0.123369i
\(619\) 0.930589 19.5355i 0.0374035 0.785197i −0.899777 0.436351i \(-0.856271\pi\)
0.937180 0.348846i \(-0.113426\pi\)
\(620\) 1.19880 + 2.07639i 0.0481450 + 0.0833897i
\(621\) 1.71210 + 4.47981i 0.0687042 + 0.179769i
\(622\) 7.96536 0.319382
\(623\) 2.99655 1.62062i 0.120054 0.0649286i
\(624\) −4.01402 27.9181i −0.160689 1.11762i
\(625\) −0.240008 0.0229180i −0.00960033 0.000916720i
\(626\) −1.43312 5.90740i −0.0572790 0.236107i
\(627\) 2.86166 0.273255i 0.114284 0.0109128i
\(628\) −1.63134 4.71345i −0.0650976 0.188087i
\(629\) −5.02694 + 34.9632i −0.200437 + 1.39407i
\(630\) 5.54986 1.74950i 0.221112 0.0697019i
\(631\) 14.1758 + 16.3597i 0.564330 + 0.651271i 0.964161 0.265317i \(-0.0854768\pi\)
−0.399831 + 0.916589i \(0.630931\pi\)
\(632\) −1.58375 33.2470i −0.0629981 1.32249i
\(633\) −17.9981 9.27864i −0.715358 0.368793i
\(634\) −4.05181 + 11.7069i −0.160918 + 0.464942i
\(635\) 0.349621 1.44116i 0.0138743 0.0571906i
\(636\) 0.0905460 0.629762i 0.00359038 0.0249717i
\(637\) 25.6435 32.0736i 1.01603 1.27080i
\(638\) 5.71279 12.5093i 0.226171 0.495246i
\(639\) 7.92429 7.55580i 0.313480 0.298903i
\(640\) 10.8835 15.2838i 0.430209 0.604144i
\(641\) −17.4103 + 13.6916i −0.687667 + 0.540787i −0.899718 0.436471i \(-0.856228\pi\)
0.212051 + 0.977259i \(0.431986\pi\)
\(642\) 16.6259 8.57123i 0.656170 0.338279i
\(643\) 22.3803 0.882594 0.441297 0.897361i \(-0.354519\pi\)
0.441297 + 0.897361i \(0.354519\pi\)
\(644\) −1.37714 6.99359i −0.0542668 0.275586i
\(645\) −4.68256 −0.184376
\(646\) 4.72802 2.43746i 0.186022 0.0959008i
\(647\) 34.2707 26.9508i 1.34732 1.05954i 0.355129 0.934817i \(-0.384437\pi\)
0.992191 0.124727i \(-0.0398055\pi\)
\(648\) 1.33528 1.87514i 0.0524547 0.0736623i
\(649\) 15.0442 14.3447i 0.590538 0.563077i
\(650\) −12.1372 + 26.5767i −0.476060 + 1.04243i
\(651\) 2.84072 + 7.71093i 0.111337 + 0.302215i
\(652\) 0.333959 2.32274i 0.0130788 0.0909653i
\(653\) 6.72758 27.7314i 0.263270 1.08522i −0.674587 0.738195i \(-0.735678\pi\)
0.937858 0.347020i \(-0.112807\pi\)
\(654\) −8.87980 + 25.6565i −0.347228 + 1.00325i
\(655\) 1.53660 + 0.792172i 0.0600399 + 0.0309527i
\(656\) −2.69940 56.6674i −0.105394 2.21249i
\(657\) −7.40797 8.54926i −0.289013 0.333538i
\(658\) 27.7316 + 25.4143i 1.08109 + 0.990752i
\(659\) −5.54151 + 38.5420i −0.215866 + 1.50138i 0.537208 + 0.843450i \(0.319479\pi\)
−0.753075 + 0.657935i \(0.771430\pi\)
\(660\) −0.898075 2.59482i −0.0349575 0.101003i
\(661\) −21.9663 + 2.09752i −0.854389 + 0.0815843i −0.513053 0.858357i \(-0.671486\pi\)
−0.341336 + 0.939941i \(0.610879\pi\)
\(662\) 10.7745 + 44.4131i 0.418763 + 1.72617i
\(663\) 24.0154 + 2.29320i 0.932682 + 0.0890603i
\(664\) −3.01770 20.9886i −0.117110 0.814515i
\(665\) 0.0817462 2.93708i 0.00316998 0.113895i
\(666\) −13.7478 −0.532714
\(667\) 5.46972 10.2117i 0.211788 0.395398i
\(668\) 1.18081 + 2.04523i 0.0456870 + 0.0791322i
\(669\) 1.25228 26.2886i 0.0484160 1.01638i
\(670\) 22.1736 + 8.87696i 0.856640 + 0.342947i
\(671\) 0.707039 + 1.54820i 0.0272949 + 0.0597676i
\(672\) −5.80669 + 5.76013i −0.223998 + 0.222202i
\(673\) −18.3021 + 40.0761i −0.705495 + 1.54482i 0.127683 + 0.991815i \(0.459246\pi\)
−0.833178 + 0.553004i \(0.813481\pi\)
\(674\) 2.59242 + 7.49031i 0.0998563 + 0.288516i
\(675\) −2.88880 + 1.15650i −0.111190 + 0.0445137i
\(676\) 8.70630 + 8.30144i 0.334858 + 0.319286i
\(677\) −24.9230 + 4.80351i −0.957868 + 0.184614i −0.644147 0.764901i \(-0.722788\pi\)
−0.313721 + 0.949515i \(0.601576\pi\)
\(678\) −16.3296 + 10.4944i −0.627136 + 0.403036i
\(679\) 30.9353 20.7566i 1.18719 0.796564i
\(680\) 8.51878 + 9.83120i 0.326680 + 0.377009i
\(681\) −2.99067 + 12.3277i −0.114603 + 0.472399i
\(682\) 16.4162 6.57205i 0.628609 0.251657i
\(683\) 5.90559 + 1.13821i 0.225971 + 0.0435524i 0.300980 0.953630i \(-0.402686\pi\)
−0.0750086 + 0.997183i \(0.523898\pi\)
\(684\) 0.263340 + 0.369809i 0.0100691 + 0.0141400i
\(685\) 4.69697 + 1.37915i 0.179462 + 0.0526948i
\(686\) −29.6235 1.06323i −1.13103 0.0405943i
\(687\) 2.90269 + 20.1886i 0.110744 + 0.770244i
\(688\) 14.5622 7.50735i 0.555180 0.286215i
\(689\) −3.32209 5.75403i −0.126562 0.219211i
\(690\) −2.81197 10.1662i −0.107050 0.387022i
\(691\) −15.9666 + 27.6550i −0.607399 + 1.05205i 0.384269 + 0.923221i \(0.374454\pi\)
−0.991667 + 0.128824i \(0.958880\pi\)
\(692\) −2.19992 1.41380i −0.0836284 0.0537447i
\(693\) −1.52327 9.28698i −0.0578642 0.352783i
\(694\) 16.2602 + 35.6049i 0.617230 + 1.35154i
\(695\) 0.178782 0.170468i 0.00678159 0.00646624i
\(696\) −5.53525 + 0.528552i −0.209813 + 0.0200347i
\(697\) 47.6472 + 9.18324i 1.80477 + 0.347840i
\(698\) 28.7642 + 22.6204i 1.08874 + 0.856196i
\(699\) 18.2716 5.36503i 0.691097 0.202924i
\(700\) 4.52304 0.964875i 0.170955 0.0364688i
\(701\) 35.4841 22.8042i 1.34022 0.861304i 0.343257 0.939241i \(-0.388470\pi\)
0.996958 + 0.0779374i \(0.0248334\pi\)
\(702\) 0.446767 + 9.37879i 0.0168621 + 0.353980i
\(703\) −2.27038 + 6.55984i −0.0856291 + 0.247409i
\(704\) −12.0170 11.4582i −0.452909 0.431848i
\(705\) 9.59482 + 7.54545i 0.361362 + 0.284178i
\(706\) −1.62588 + 1.87636i −0.0611906 + 0.0706178i
\(707\) −13.2494 + 1.53009i −0.498295 + 0.0575449i
\(708\) 3.14986 + 0.924881i 0.118379 + 0.0347592i
\(709\) 26.3905 + 2.51998i 0.991115 + 0.0946400i 0.577998 0.816038i \(-0.303834\pi\)
0.413117 + 0.910678i \(0.364440\pi\)
\(710\) −18.9295 + 14.8863i −0.710411 + 0.558673i
\(711\) −0.687994 + 14.4428i −0.0258018 + 0.541646i
\(712\) −1.48203 + 2.56696i −0.0555416 + 0.0962008i
\(713\) 14.1513 4.64960i 0.529970 0.174129i
\(714\) −9.00371 14.9062i −0.336956 0.557851i
\(715\) −24.1226 15.5026i −0.902133 0.579766i
\(716\) 9.92865 + 3.97483i 0.371051 + 0.148546i
\(717\) 7.00441 9.83632i 0.261585 0.367344i
\(718\) 0.912336 + 3.76070i 0.0340481 + 0.140348i
\(719\) 23.9174 + 33.5873i 0.891970 + 1.25260i 0.966835 + 0.255403i \(0.0822080\pi\)
−0.0748650 + 0.997194i \(0.523853\pi\)
\(720\) −4.32658 + 4.99314i −0.161242 + 0.186083i
\(721\) 10.8868 + 8.21835i 0.405446 + 0.306068i
\(722\) −28.1756 + 8.27310i −1.04859 + 0.307893i
\(723\) 20.2880 3.91019i 0.754519 0.145422i
\(724\) −3.81363 1.96606i −0.141732 0.0730681i
\(725\) 6.68074 + 3.44416i 0.248117 + 0.127913i
\(726\) −2.59731 + 0.500590i −0.0963951 + 0.0185786i
\(727\) −6.69228 + 1.96503i −0.248203 + 0.0728790i −0.403468 0.914994i \(-0.632195\pi\)
0.155265 + 0.987873i \(0.450377\pi\)
\(728\) −4.38448 + 35.4589i −0.162500 + 1.31420i
\(729\) −0.654861 + 0.755750i −0.0242541 + 0.0279907i
\(730\) 14.4320 + 20.2669i 0.534152 + 0.750111i
\(731\) 3.30374 + 13.6182i 0.122193 + 0.503688i
\(732\) −0.155916 + 0.218953i −0.00576280 + 0.00809273i
\(733\) −5.73841 2.29731i −0.211953 0.0848532i 0.263256 0.964726i \(-0.415203\pi\)
−0.475210 + 0.879873i \(0.657628\pi\)
\(734\) 42.3412 + 27.2110i 1.56284 + 1.00438i
\(735\) −9.61158 + 0.380328i −0.354528 + 0.0140286i
\(736\) 10.0607 + 10.8897i 0.370843 + 0.401399i
\(737\) 19.3139 33.4527i 0.711438 1.23225i
\(738\) −0.898622 + 18.8644i −0.0330787 + 0.694408i
\(739\) −27.3481 + 21.5068i −1.00601 + 0.791139i −0.978029 0.208469i \(-0.933152\pi\)
−0.0279860 + 0.999608i \(0.508909\pi\)
\(740\) 6.60049 + 0.630270i 0.242639 + 0.0231692i
\(741\) 4.54894 + 1.33569i 0.167109 + 0.0490678i
\(742\) −1.90572 + 4.40124i −0.0699613 + 0.161575i
\(743\) −6.84587 + 7.90055i −0.251151 + 0.289843i −0.867300 0.497786i \(-0.834146\pi\)
0.616149 + 0.787629i \(0.288692\pi\)
\(744\) −5.62013 4.41972i −0.206044 0.162035i
\(745\) −13.0307 12.4247i −0.477406 0.455206i
\(746\) −14.1923 + 41.0060i −0.519618 + 1.50134i
\(747\) 0.438295 + 9.20095i 0.0160364 + 0.336645i
\(748\) −6.91284 + 4.44261i −0.252758 + 0.162438i
\(749\) −30.2398 + 6.45090i −1.10494 + 0.235711i
\(750\) 17.1182 5.02636i 0.625069 0.183537i
\(751\) −25.1590 19.7852i −0.918065 0.721974i 0.0427734 0.999085i \(-0.486381\pi\)
−0.960838 + 0.277111i \(0.910623\pi\)
\(752\) −41.9361 8.08252i −1.52925 0.294739i
\(753\) 4.33484 0.413927i 0.157971 0.0150844i
\(754\) 16.4144 15.6511i 0.597777 0.569979i
\(755\) 2.85247 + 6.24605i 0.103812 + 0.227317i
\(756\) 1.14989 0.941671i 0.0418211 0.0342482i
\(757\) −39.9959 25.7038i −1.45367 0.934220i −0.999052 0.0435356i \(-0.986138\pi\)
−0.454622 0.890684i \(-0.650226\pi\)
\(758\) −0.0276649 + 0.0479169i −0.00100483 + 0.00174042i
\(759\) −16.9215 + 2.16156i −0.614212 + 0.0784598i
\(760\) 1.27822 + 2.21394i 0.0463659 + 0.0803082i
\(761\) 6.23686 3.21533i 0.226086 0.116556i −0.341462 0.939895i \(-0.610922\pi\)
0.567549 + 0.823340i \(0.307892\pi\)
\(762\) −0.245817 1.70970i −0.00890502 0.0619358i
\(763\) 25.3045 37.0651i 0.916086 1.34185i
\(764\) −6.75981 1.98486i −0.244561 0.0718096i
\(765\) −3.27792 4.60319i −0.118513 0.166429i
\(766\) −35.2059 6.78538i −1.27204 0.245166i
\(767\) 31.8267 12.7415i 1.14920 0.460068i
\(768\) 2.95125 12.1652i 0.106494 0.438975i
\(769\) 1.66157 + 1.91755i 0.0599176 + 0.0691486i 0.784917 0.619601i \(-0.212705\pi\)
−0.724999 + 0.688749i \(0.758160\pi\)
\(770\) 1.39351 + 20.6518i 0.0502187 + 0.744240i
\(771\) −24.8087 + 15.9436i −0.893463 + 0.574194i
\(772\) −10.1690 + 1.95991i −0.365990 + 0.0705389i
\(773\) −11.8984 11.3451i −0.427954 0.408054i 0.445251 0.895406i \(-0.353114\pi\)
−0.873206 + 0.487352i \(0.837963\pi\)
\(774\) −5.06333 + 2.02705i −0.181998 + 0.0728609i
\(775\) 3.16102 + 9.13318i 0.113547 + 0.328074i
\(776\) −13.4649 + 29.4840i −0.483361 + 1.05841i
\(777\) 21.9272 + 5.97008i 0.786634 + 0.214176i
\(778\) 8.01745 + 17.5558i 0.287440 + 0.629405i
\(779\) 8.85288 + 3.54416i 0.317187 + 0.126983i
\(780\) 0.215475 4.52337i 0.00771523 0.161963i
\(781\) 19.4734 + 33.7289i 0.696813 + 1.20692i
\(782\) −27.5824 + 15.3507i −0.986344 + 0.548941i
\(783\) 2.41550 0.0863229
\(784\) 29.2811 16.5926i 1.04575 0.592593i
\(785\) 1.73638 + 12.0768i 0.0619741 + 0.431039i
\(786\) 2.00448 + 0.191404i 0.0714973 + 0.00682716i
\(787\) 7.13001 + 29.3903i 0.254158 + 1.04765i 0.945629 + 0.325248i \(0.105448\pi\)
−0.691471 + 0.722404i \(0.743037\pi\)
\(788\) −10.9707 + 1.04758i −0.390815 + 0.0373183i
\(789\) 4.97177 + 14.3650i 0.177000 + 0.511407i
\(790\) 4.52583 31.4778i 0.161022 1.11993i
\(791\) 30.6025 9.64696i 1.08810 0.343007i
\(792\) 5.36217 + 6.18828i 0.190536 + 0.219891i
\(793\) 0.133562 + 2.80381i 0.00474293 + 0.0995663i
\(794\) −37.7965 19.4854i −1.34135 0.691512i
\(795\) −0.509033 + 1.47075i −0.0180535 + 0.0521622i
\(796\) 3.09734 12.7674i 0.109782 0.452528i
\(797\) 3.76532 26.1884i 0.133375 0.927640i −0.807737 0.589543i \(-0.799308\pi\)
0.941111 0.338097i \(-0.109783\pi\)
\(798\) −1.18305 3.21130i −0.0418795 0.113679i
\(799\) 15.1748 33.2281i 0.536845 1.17553i
\(800\) −6.96192 + 6.63818i −0.246141 + 0.234695i
\(801\) 0.746891 1.04886i 0.0263901 0.0370597i
\(802\) 3.95734 3.11208i 0.139738 0.109892i
\(803\) 35.7653 18.4383i 1.26213 0.650674i
\(804\) 6.10040 0.215145
\(805\) 0.0702201 + 17.4360i 0.00247493 + 0.614537i
\(806\) 29.1630 1.02722
\(807\) 2.16753 1.11744i 0.0763008 0.0393358i
\(808\) 9.12173 7.17341i 0.320901 0.252360i
\(809\) 14.3678 20.1768i 0.505145 0.709377i −0.480728 0.876870i \(-0.659628\pi\)
0.985873 + 0.167493i \(0.0535670\pi\)
\(810\) 1.59178 1.51776i 0.0559296 0.0533288i
\(811\) 18.5303 40.5757i 0.650687 1.42481i −0.240264 0.970708i \(-0.577234\pi\)
0.890951 0.454099i \(-0.150039\pi\)
\(812\) −3.53794 0.609589i −0.124157 0.0213924i
\(813\) −0.771756 + 5.36768i −0.0270667 + 0.188253i
\(814\) 11.5290 47.5230i 0.404090 1.66568i
\(815\) −1.87745 + 5.42455i −0.0657643 + 0.190014i
\(816\) 17.5740 + 9.06005i 0.615214 + 0.317165i
\(817\) 0.131035 + 2.75076i 0.00458434 + 0.0962370i
\(818\) −6.68016 7.70932i −0.233566 0.269550i
\(819\) 3.36025 15.1529i 0.117416 0.529484i
\(820\) 1.29629 9.01586i 0.0452682 0.314848i
\(821\) −2.54780 7.36137i −0.0889187 0.256914i 0.891770 0.452489i \(-0.149464\pi\)
−0.980689 + 0.195575i \(0.937343\pi\)
\(822\) 5.67594 0.541986i 0.197971 0.0189039i
\(823\) 7.59584 + 31.3105i 0.264774 + 1.09142i 0.936515 + 0.350628i \(0.114032\pi\)
−0.671740 + 0.740787i \(0.734453\pi\)
\(824\) −11.8144 1.12814i −0.411575 0.0393006i
\(825\) −1.57521 10.9558i −0.0548416 0.381432i
\(826\) −21.0788 12.9649i −0.733426 0.451105i
\(827\) −9.73861 −0.338645 −0.169322 0.985561i \(-0.554158\pi\)
−0.169322 + 0.985561i \(0.554158\pi\)
\(828\) −1.63182 2.14366i −0.0567097 0.0744973i
\(829\) 21.2226 + 36.7587i 0.737093 + 1.27668i 0.953799 + 0.300445i \(0.0971353\pi\)
−0.216706 + 0.976237i \(0.569531\pi\)
\(830\) 0.963989 20.2366i 0.0334605 0.702423i
\(831\) 17.6021 + 7.04682i 0.610610 + 0.244451i
\(832\) −11.3758 24.9094i −0.394383 0.863579i
\(833\) 7.88747 + 27.6849i 0.273285 + 0.959223i
\(834\) 0.119525 0.261724i 0.00413882 0.00906276i
\(835\) −1.88946 5.45923i −0.0653874 0.188924i
\(836\) −1.49919 + 0.600185i −0.0518506 + 0.0207578i
\(837\) 2.24787 + 2.14334i 0.0776979 + 0.0740848i
\(838\) 3.03147 0.584269i 0.104721 0.0201832i
\(839\) 27.1709 17.4617i 0.938042 0.602843i 0.0202033 0.999796i \(-0.493569\pi\)
0.917839 + 0.396953i \(0.129932\pi\)
\(840\) 6.94982 4.66309i 0.239791 0.160892i
\(841\) 15.1701 + 17.5072i 0.523107 + 0.603697i
\(842\) 1.34450 5.54209i 0.0463344 0.190993i
\(843\) −26.3446 + 10.5468i −0.907355 + 0.363250i
\(844\) 11.1695 + 2.15274i 0.384469 + 0.0741003i
\(845\) −17.0692 23.9703i −0.587199 0.824605i
\(846\) 13.6414 + 4.00548i 0.469001 + 0.137711i
\(847\) 4.36001 + 0.329479i 0.149812 + 0.0113210i
\(848\) −0.774963 5.38998i −0.0266123 0.185093i
\(849\) −4.53399 + 2.33744i −0.155606 + 0.0802206i
\(850\) −10.2406 17.7373i −0.351251 0.608384i
\(851\) 12.2264 39.3370i 0.419117 1.34846i
\(852\) −3.07539 + 5.32672i −0.105361 + 0.182491i
\(853\) −24.9338 16.0240i −0.853717 0.548650i 0.0390153 0.999239i \(-0.487578\pi\)
−0.892732 + 0.450588i \(0.851214\pi\)
\(854\) 1.56765 1.28378i 0.0536438 0.0439301i
\(855\) −0.461335 1.01018i −0.0157773 0.0345475i
\(856\) 19.4704 18.5650i 0.665484 0.634537i
\(857\) −6.62830 + 0.632926i −0.226418 + 0.0216203i −0.207649 0.978203i \(-0.566581\pi\)
−0.0187698 + 0.999824i \(0.505975\pi\)
\(858\) −32.7951 6.32074i −1.11961 0.215787i
\(859\) 34.4496 + 27.0915i 1.17541 + 0.924349i 0.998209 0.0598268i \(-0.0190548\pi\)
0.177196 + 0.984176i \(0.443297\pi\)
\(860\) 2.52391 0.741086i 0.0860645 0.0252708i
\(861\) 9.62530 29.6978i 0.328029 1.01210i
\(862\) −5.56743 + 3.57797i −0.189628 + 0.121866i
\(863\) −2.09253 43.9275i −0.0712304 1.49531i −0.697995 0.716102i \(-0.745924\pi\)
0.626765 0.779208i \(-0.284379\pi\)
\(864\) −1.01109 + 2.92136i −0.0343981 + 0.0993868i
\(865\) 4.62964 + 4.41435i 0.157413 + 0.150093i
\(866\) −21.4483 16.8671i −0.728842 0.573168i
\(867\) 0.0579579 0.0668870i 0.00196835 0.00227160i
\(868\) −2.75152 3.70661i −0.0933928 0.125811i
\(869\) −49.3486 14.4901i −1.67404 0.491542i
\(870\) −5.28860 0.505000i −0.179300 0.0171211i
\(871\) 50.0763 39.3805i 1.69677 1.33436i
\(872\) −1.85797 + 39.0037i −0.0629189 + 1.32083i
\(873\) 7.04027 12.1941i 0.238277 0.412708i
\(874\) −5.89346 + 1.93638i −0.199349 + 0.0654989i
\(875\) −29.4857 + 0.583144i −0.996800 + 0.0197139i
\(876\) 5.34596 + 3.43564i 0.180623 + 0.116079i
\(877\) 43.1435 + 17.2720i 1.45685 + 0.583235i 0.958843 0.283937i \(-0.0916406\pi\)
0.498008 + 0.867172i \(0.334065\pi\)
\(878\) −11.6568 + 16.3697i −0.393399 + 0.552452i
\(879\) 7.67455 + 31.6349i 0.258856 + 1.06702i
\(880\) −13.6319 19.1433i −0.459531 0.645321i
\(881\) −17.5503 + 20.2541i −0.591283 + 0.682377i −0.969991 0.243139i \(-0.921823\pi\)
0.378708 + 0.925516i \(0.376368\pi\)
\(882\) −10.2285 + 4.57205i −0.344412 + 0.153949i
\(883\) 12.3707 3.63237i 0.416308 0.122239i −0.0668691 0.997762i \(-0.521301\pi\)
0.483177 + 0.875523i \(0.339483\pi\)
\(884\) −13.3073 + 2.56477i −0.447572 + 0.0862625i
\(885\) −7.13771 3.67974i −0.239931 0.123693i
\(886\) −34.1958 17.6291i −1.14883 0.592262i
\(887\) 5.75016 1.10825i 0.193071 0.0372115i −0.0917987 0.995778i \(-0.529262\pi\)
0.284870 + 0.958566i \(0.408050\pi\)
\(888\) −18.9717 + 5.57059i −0.636648 + 0.186937i
\(889\) −0.350381 + 2.83366i −0.0117514 + 0.0950379i
\(890\) −1.85456 + 2.14028i −0.0621650 + 0.0717422i
\(891\) −2.06329 2.89749i −0.0691229 0.0970696i
\(892\) 3.48559 + 14.3678i 0.116706 + 0.481069i
\(893\) 4.16406 5.84761i 0.139345 0.195683i
\(894\) −19.4688 7.79414i −0.651135 0.260675i
\(895\) −22.0082 14.1438i −0.735654 0.472776i
\(896\) −17.4405 + 31.6365i −0.582647 + 1.05690i
\(897\) −27.2333 7.06259i −0.909293 0.235813i
\(898\) 0.634047 1.09820i 0.0211584 0.0366475i
\(899\) 0.356978 7.49390i 0.0119059 0.249935i
\(900\) 1.37403 1.08055i 0.0458010 0.0360183i
\(901\) 4.63651 + 0.442733i 0.154465 + 0.0147496i
\(902\) −64.4566 18.9262i −2.14617 0.630172i
\(903\) 8.95611 1.03428i 0.298041 0.0344188i
\(904\) −18.2823 + 21.0989i −0.608061 + 0.701739i
\(905\) 8.25006 + 6.48792i 0.274241 + 0.215666i
\(906\) 5.78830 + 5.51914i 0.192303 + 0.183361i
\(907\) −5.91200 + 17.0816i −0.196305 + 0.567185i −0.999597 0.0284001i \(-0.990959\pi\)
0.803292 + 0.595586i \(0.203080\pi\)
\(908\) −0.339071 7.11797i −0.0112525 0.236218i
\(909\) −4.24083 + 2.72542i −0.140659 + 0.0903963i
\(910\) −10.5250 + 32.4739i −0.348902 + 1.07650i
\(911\) 3.37735 0.991680i 0.111897 0.0328558i −0.225305 0.974288i \(-0.572338\pi\)
0.337202 + 0.941432i \(0.390520\pi\)
\(912\) 3.05428 + 2.40191i 0.101137 + 0.0795353i
\(913\) −32.1733 6.20089i −1.06478 0.205219i
\(914\) 27.2572 2.60275i 0.901589 0.0860913i
\(915\) 0.475868 0.453739i 0.0157317 0.0150001i
\(916\) −4.75970 10.4223i −0.157265 0.344362i
\(917\) −3.11395 1.17574i −0.102832 0.0388265i
\(918\) −5.53716 3.55851i −0.182753 0.117448i
\(919\) −14.8518 + 25.7240i −0.489915 + 0.848557i −0.999933 0.0116066i \(-0.996305\pi\)
0.510018 + 0.860164i \(0.329639\pi\)
\(920\) −7.99984 12.8899i −0.263747 0.424966i
\(921\) −1.28034 2.21761i −0.0421886 0.0730728i
\(922\) −22.1596 + 11.4241i −0.729788 + 0.376232i
\(923\) 9.14118 + 63.5783i 0.300885 + 2.09270i
\(924\) 2.29085 + 4.76461i 0.0753634 + 0.156744i
\(925\) 25.6449 + 7.53003i 0.843200 + 0.247586i
\(926\) −15.6542 21.9832i −0.514428 0.722414i
\(927\) 5.06247 + 0.975710i 0.166273 + 0.0320465i
\(928\) 6.93235 2.77529i 0.227565 0.0911035i
\(929\) −4.73173 + 19.5045i −0.155243 + 0.639920i 0.840008 + 0.542575i \(0.182550\pi\)
−0.995251 + 0.0973458i \(0.968965\pi\)
\(930\) −4.47350 5.16269i −0.146692 0.169291i
\(931\) 0.492390 + 5.63566i 0.0161374 + 0.184701i
\(932\) −8.99933 + 5.78352i −0.294783 + 0.189446i
\(933\) −4.88671 + 0.941836i −0.159984 + 0.0308343i
\(934\) −14.8596 14.1686i −0.486222 0.463612i
\(935\) 18.6611 7.47079i 0.610284 0.244321i
\(936\) 4.41682 + 12.7616i 0.144368 + 0.417125i
\(937\) −11.5442 + 25.2782i −0.377131 + 0.825802i 0.621955 + 0.783053i \(0.286339\pi\)
−0.999086 + 0.0427489i \(0.986388\pi\)
\(938\) −44.3711 12.0808i −1.44877 0.394453i
\(939\) 1.57771 + 3.45471i 0.0514867 + 0.112740i
\(940\) −6.36580 2.54848i −0.207630 0.0831223i
\(941\) 0.410042 8.60784i 0.0133670 0.280608i −0.982281 0.187414i \(-0.939989\pi\)
0.995648 0.0931937i \(-0.0297076\pi\)
\(942\) 7.10555 + 12.3072i 0.231511 + 0.400989i
\(943\) −53.1783 19.3481i −1.73172 0.630062i
\(944\) 28.0970 0.914480
\(945\) −3.19795 + 1.72954i −0.104029 + 0.0562618i
\(946\) −2.76094 19.2027i −0.0897659 0.624335i
\(947\) 28.0667 + 2.68004i 0.912044 + 0.0870896i 0.540517 0.841333i \(-0.318228\pi\)
0.371526 + 0.928422i \(0.378835\pi\)
\(948\) −1.91496 7.89356i −0.0621949 0.256371i
\(949\) 66.0617 6.30813i 2.14445 0.204770i
\(950\) −1.31644 3.80361i −0.0427110 0.123405i
\(951\) 1.10152 7.66124i 0.0357192 0.248433i
\(952\) −18.4650 16.9220i −0.598454 0.548446i
\(953\) −27.8121 32.0969i −0.900922 1.03972i −0.999008 0.0445412i \(-0.985817\pi\)
0.0980858 0.995178i \(-0.468728\pi\)
\(954\) 0.0862546 + 1.81071i 0.00279260 + 0.0586238i
\(955\) 15.3180 + 7.89698i 0.495679 + 0.255540i
\(956\) −2.21864 + 6.41034i −0.0717560 + 0.207325i
\(957\) −2.02565 + 8.34986i −0.0654801 + 0.269913i
\(958\) −6.04110 + 42.0168i −0.195179 + 1.35750i
\(959\) −9.28829 1.60038i −0.299935 0.0516788i
\(960\) −2.66469 + 5.83485i −0.0860024 + 0.188319i
\(961\) −15.4540 + 14.7353i −0.498516 + 0.475334i
\(962\) 46.7813 65.6952i 1.50829 2.11810i
\(963\) −9.18641 + 7.22427i −0.296028 + 0.232799i
\(964\) −10.3164 + 5.31848i −0.332269 + 0.171297i
\(965\) 25.3330 0.815498
\(966\) 7.62385 + 18.8234i 0.245293 + 0.605632i
\(967\) −48.8298 −1.57026 −0.785130 0.619331i \(-0.787404\pi\)
−0.785130 + 0.619331i \(0.787404\pi\)
\(968\) −3.38141 + 1.74324i −0.108682 + 0.0560297i
\(969\) −2.61241 + 2.05442i −0.0839226 + 0.0659975i
\(970\) −17.9637 + 25.2264i −0.576779 + 0.809972i
\(971\) −3.95236 + 3.76857i −0.126837 + 0.120939i −0.750843 0.660481i \(-0.770353\pi\)
0.624006 + 0.781420i \(0.285504\pi\)
\(972\) 0.233362 0.510992i 0.00748509 0.0163901i
\(973\) −0.304295 + 0.365536i −0.00975525 + 0.0117186i
\(974\) −3.49180 + 24.2860i −0.111885 + 0.778175i
\(975\) 4.30363 17.7398i 0.137827 0.568129i
\(976\) −0.752433 + 2.17401i −0.0240848 + 0.0695885i
\(977\) 18.2504 + 9.40875i 0.583883 + 0.301013i 0.724746 0.689016i \(-0.241957\pi\)
−0.140863 + 0.990029i \(0.544988\pi\)
\(978\) 0.318131 + 6.67839i 0.0101727 + 0.213551i
\(979\) 2.99934 + 3.46143i 0.0958594 + 0.110628i
\(980\) 5.12046 1.72617i 0.163567 0.0551406i
\(981\) 2.41405 16.7901i 0.0770747 0.536066i
\(982\) 5.36613 + 15.5044i 0.171240 + 0.494766i
\(983\) 33.3718 3.18662i 1.06440 0.101638i 0.451867 0.892085i \(-0.350758\pi\)
0.612529 + 0.790448i \(0.290152\pi\)
\(984\) 6.40377 + 26.3967i 0.204145 + 0.841496i
\(985\) 26.8363 + 2.56256i 0.855076 + 0.0816499i
\(986\) 2.26265 + 15.7371i 0.0720574 + 0.501170i
\(987\) −20.0182 12.3125i −0.637186 0.391912i
\(988\) −2.66328 −0.0847301
\(989\) −1.29707 16.2907i −0.0412443 0.518013i
\(990\) 3.91170 + 6.77526i 0.124322 + 0.215332i
\(991\) 0.514556 10.8018i 0.0163454 0.343132i −0.975850 0.218441i \(-0.929903\pi\)
0.992196 0.124691i \(-0.0397940\pi\)
\(992\) 8.91388 + 3.56858i 0.283016 + 0.113303i
\(993\) −11.8616 25.9733i −0.376416 0.824236i
\(994\) 32.9174 32.6535i 1.04408 1.03571i
\(995\) −13.3503 + 29.2331i −0.423233 + 0.926750i
\(996\) −1.69243 4.88996i −0.0536267 0.154944i
\(997\) −28.0446 + 11.2273i −0.888180 + 0.355574i −0.770472 0.637474i \(-0.779979\pi\)
−0.117709 + 0.993048i \(0.537555\pi\)
\(998\) −18.2261 17.3786i −0.576938 0.550110i
\(999\) 8.43418 1.62555i 0.266846 0.0514303i
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 483.2.y.b.163.13 yes 320
7.4 even 3 inner 483.2.y.b.25.4 320
23.12 even 11 inner 483.2.y.b.58.4 yes 320
161.81 even 33 inner 483.2.y.b.403.13 yes 320
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
483.2.y.b.25.4 320 7.4 even 3 inner
483.2.y.b.58.4 yes 320 23.12 even 11 inner
483.2.y.b.163.13 yes 320 1.1 even 1 trivial
483.2.y.b.403.13 yes 320 161.81 even 33 inner