Properties

Label 507.2.q.a.16.14
Level $507$
Weight $2$
Character 507.16
Analytic conductor $4.048$
Analytic rank $0$
Dimension $360$
CM no
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [507,2,Mod(16,507)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(507, base_ring=CyclotomicField(78))
 
chi = DirichletCharacter(H, H._module([0, 2]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("507.16");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 507 = 3 \cdot 13^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 507.q (of order \(39\), degree \(24\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(4.04841538248\)
Analytic rank: \(0\)
Dimension: \(360\)
Relative dimension: \(15\) over \(\Q(\zeta_{39})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{39}]$

Embedding invariants

Embedding label 16.14
Character \(\chi\) \(=\) 507.16
Dual form 507.2.q.a.412.14

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(2.40692 + 0.194306i) q^{2} +(0.845190 + 0.534466i) q^{3} +(3.78139 + 0.614535i) q^{4} +(-1.78205 - 1.57876i) q^{5} +(1.93045 + 1.45064i) q^{6} +(1.67721 - 1.74616i) q^{7} +(4.29291 + 1.05811i) q^{8} +(0.428693 + 0.903450i) q^{9} +O(q^{10})\) \(q+(2.40692 + 0.194306i) q^{2} +(0.845190 + 0.534466i) q^{3} +(3.78139 + 0.614535i) q^{4} +(-1.78205 - 1.57876i) q^{5} +(1.93045 + 1.45064i) q^{6} +(1.67721 - 1.74616i) q^{7} +(4.29291 + 1.05811i) q^{8} +(0.428693 + 0.903450i) q^{9} +(-3.98249 - 4.14621i) q^{10} +(-0.696010 + 1.46681i) q^{11} +(2.86754 + 2.54042i) q^{12} +(2.39109 + 2.69865i) q^{13} +(4.37619 - 3.87697i) q^{14} +(-0.662379 - 2.28680i) q^{15} +(2.85940 + 0.954608i) q^{16} +(0.629690 - 0.655577i) q^{17} +(0.856281 + 2.25783i) q^{18} +(-2.21123 + 3.82996i) q^{19} +(-5.76842 - 7.06504i) q^{20} +(2.35082 - 0.579426i) q^{21} +(-1.96025 + 3.39525i) q^{22} +(-2.23246 - 3.86674i) q^{23} +(3.06280 + 3.18872i) q^{24} +(0.0805421 + 0.663324i) q^{25} +(5.23078 + 6.96002i) q^{26} +(-0.120537 + 0.992709i) q^{27} +(7.41525 - 5.57220i) q^{28} +(-6.95644 - 0.561582i) q^{29} +(-1.14995 - 5.63284i) q^{30} +(-0.235173 + 1.93683i) q^{31} +(-1.43833 - 0.612814i) q^{32} +(-1.37222 + 0.867740i) q^{33} +(1.64299 - 1.45557i) q^{34} +(-5.74564 + 0.463836i) q^{35} +(1.06585 + 3.67974i) q^{36} +(-2.53590 + 1.08044i) q^{37} +(-6.06642 + 8.78873i) q^{38} +(0.578588 + 3.55883i) q^{39} +(-5.97970 - 8.66309i) q^{40} +(-2.33678 - 1.47769i) q^{41} +(5.77082 - 0.937849i) q^{42} +(1.49768 + 0.638101i) q^{43} +(-3.53329 + 5.11885i) q^{44} +(0.662379 - 2.28680i) q^{45} +(-4.62202 - 9.74070i) q^{46} +(0.0319343 - 0.0842038i) q^{47} +(1.90653 + 2.33508i) q^{48} +(0.0458184 + 1.13697i) q^{49} +(0.0649700 + 1.61221i) q^{50} +(0.882591 - 0.217539i) q^{51} +(7.38321 + 11.6740i) q^{52} +(8.03169 + 1.97963i) q^{53} +(-0.483011 + 2.36595i) q^{54} +(3.55607 - 1.51510i) q^{55} +(9.04774 - 5.72144i) q^{56} +(-3.91589 + 2.05522i) q^{57} +(-16.6344 - 2.70336i) q^{58} +(-6.35372 + 2.12118i) q^{59} +(-1.09939 - 9.05432i) q^{60} +(-1.45953 + 5.03887i) q^{61} +(-0.942379 + 4.61608i) q^{62} +(2.29658 + 0.766710i) q^{63} +(-8.68134 - 4.55632i) q^{64} +(-0.000522863 - 8.58409i) q^{65} +(-3.47143 + 1.82195i) q^{66} +(9.88905 - 1.60713i) q^{67} +(2.78398 - 2.09202i) q^{68} +(0.179784 - 4.46130i) q^{69} -13.9194 q^{70} +(0.458426 - 11.3757i) q^{71} +(0.884392 + 4.33204i) q^{72} +(-7.97686 - 11.5565i) q^{73} +(-6.31362 + 2.10780i) q^{74} +(-0.286451 + 0.603682i) q^{75} +(-10.7151 + 13.1237i) q^{76} +(1.39393 + 3.67549i) q^{77} +(0.701110 + 8.67821i) q^{78} +(-1.73199 + 4.56688i) q^{79} +(-3.58850 - 6.21547i) q^{80} +(-0.632445 + 0.774605i) q^{81} +(-5.33731 - 4.01073i) q^{82} +(5.30072 + 2.78203i) q^{83} +(9.24545 - 0.746370i) q^{84} +(-2.15714 + 0.174142i) q^{85} +(3.48080 + 1.82686i) q^{86} +(-5.57936 - 4.19262i) q^{87} +(-4.53995 + 5.56043i) q^{88} +(8.08312 + 14.0004i) q^{89} +(2.03863 - 5.37543i) q^{90} +(8.72263 + 0.350978i) q^{91} +(-6.06556 - 15.9936i) q^{92} +(-1.23393 + 1.51129i) q^{93} +(0.0932245 - 0.196466i) q^{94} +(9.98711 - 3.33419i) q^{95} +(-0.888131 - 1.28668i) q^{96} +(-0.118878 - 0.582303i) q^{97} +(-0.110640 + 2.74550i) q^{98} -1.62356 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 360 q + q^{2} - 15 q^{3} + 15 q^{4} + 2 q^{5} - q^{6} + 2 q^{7} + 6 q^{8} + 15 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 360 q + q^{2} - 15 q^{3} + 15 q^{4} + 2 q^{5} - q^{6} + 2 q^{7} + 6 q^{8} + 15 q^{9} - q^{10} - 2 q^{11} + 30 q^{12} - 19 q^{13} + q^{15} + 15 q^{16} - 7 q^{17} - 2 q^{18} - 6 q^{19} + q^{20} + 4 q^{21} + 22 q^{22} + 46 q^{23} + 3 q^{24} + 28 q^{25} + 34 q^{26} + 30 q^{27} - 2 q^{28} + 36 q^{29} + q^{30} - 34 q^{31} - 190 q^{32} + 15 q^{33} - 51 q^{34} - 80 q^{35} + 15 q^{36} + q^{37} - 53 q^{38} + 5 q^{39} - 45 q^{40} + 9 q^{41} + 130 q^{42} + 78 q^{43} + 35 q^{44} - q^{45} - 318 q^{46} - 12 q^{47} - 15 q^{48} - 71 q^{49} + 48 q^{50} - 14 q^{51} - 63 q^{52} - 26 q^{53} - q^{54} - 61 q^{55} - 4 q^{56} - 38 q^{57} - 27 q^{58} + 208 q^{59} - 180 q^{60} - 3 q^{61} - 61 q^{62} + 2 q^{63} + 140 q^{64} + 45 q^{65} - 60 q^{66} - 80 q^{67} - 140 q^{68} + 6 q^{69} - 100 q^{70} + 84 q^{71} - 3 q^{72} + 134 q^{73} - 151 q^{74} - 12 q^{75} + 32 q^{76} + 82 q^{77} - 63 q^{78} + 4 q^{79} - 155 q^{80} + 15 q^{81} - 56 q^{82} + 106 q^{83} + 2 q^{84} - 19 q^{85} + q^{86} - 49 q^{87} + 8 q^{88} - 14 q^{89} + 2 q^{90} - 368 q^{91} + 36 q^{92} - 4 q^{93} - 59 q^{94} + 104 q^{95} + 75 q^{96} - 28 q^{97} + 101 q^{98} + 30 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/507\mathbb{Z}\right)^\times\).

\(n\) \(170\) \(340\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{39}\right)\)

Coefficient data

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



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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 2.40692 + 0.194306i 1.70195 + 0.137395i 0.892872 0.450311i \(-0.148687\pi\)
0.809074 + 0.587706i \(0.199969\pi\)
\(3\) 0.845190 + 0.534466i 0.487971 + 0.308574i
\(4\) 3.78139 + 0.614535i 1.89069 + 0.307268i
\(5\) −1.78205 1.57876i −0.796958 0.706043i 0.162865 0.986648i \(-0.447926\pi\)
−0.959823 + 0.280605i \(0.909465\pi\)
\(6\) 1.93045 + 1.45064i 0.788103 + 0.592221i
\(7\) 1.67721 1.74616i 0.633926 0.659986i −0.324315 0.945949i \(-0.605134\pi\)
0.958241 + 0.285963i \(0.0923133\pi\)
\(8\) 4.29291 + 1.05811i 1.51777 + 0.374098i
\(9\) 0.428693 + 0.903450i 0.142898 + 0.301150i
\(10\) −3.98249 4.14621i −1.25937 1.31115i
\(11\) −0.696010 + 1.46681i −0.209855 + 0.442260i −0.980898 0.194523i \(-0.937684\pi\)
0.771043 + 0.636783i \(0.219735\pi\)
\(12\) 2.86754 + 2.54042i 0.827788 + 0.733356i
\(13\) 2.39109 + 2.69865i 0.663168 + 0.748470i
\(14\) 4.37619 3.87697i 1.16959 1.03616i
\(15\) −0.662379 2.28680i −0.171026 0.590449i
\(16\) 2.85940 + 0.954608i 0.714850 + 0.238652i
\(17\) 0.629690 0.655577i 0.152722 0.159001i −0.640446 0.768003i \(-0.721251\pi\)
0.793168 + 0.609002i \(0.208430\pi\)
\(18\) 0.856281 + 2.25783i 0.201827 + 0.532175i
\(19\) −2.21123 + 3.82996i −0.507290 + 0.878653i 0.492674 + 0.870214i \(0.336019\pi\)
−0.999964 + 0.00843867i \(0.997314\pi\)
\(20\) −5.76842 7.06504i −1.28986 1.57979i
\(21\) 2.35082 0.579426i 0.512992 0.126441i
\(22\) −1.96025 + 3.39525i −0.417926 + 0.723870i
\(23\) −2.23246 3.86674i −0.465501 0.806271i 0.533723 0.845659i \(-0.320792\pi\)
−0.999224 + 0.0393883i \(0.987459\pi\)
\(24\) 3.06280 + 3.18872i 0.625192 + 0.650894i
\(25\) 0.0805421 + 0.663324i 0.0161084 + 0.132665i
\(26\) 5.23078 + 6.96002i 1.02584 + 1.36497i
\(27\) −0.120537 + 0.992709i −0.0231973 + 0.191047i
\(28\) 7.41525 5.57220i 1.40135 1.05305i
\(29\) −6.95644 0.561582i −1.29178 0.104283i −0.584602 0.811321i \(-0.698749\pi\)
−0.707176 + 0.707037i \(0.750031\pi\)
\(30\) −1.14995 5.63284i −0.209951 1.02841i
\(31\) −0.235173 + 1.93683i −0.0422384 + 0.347864i 0.956234 + 0.292604i \(0.0945218\pi\)
−0.998472 + 0.0552600i \(0.982401\pi\)
\(32\) −1.43833 0.612814i −0.254263 0.108331i
\(33\) −1.37222 + 0.867740i −0.238873 + 0.151054i
\(34\) 1.64299 1.45557i 0.281771 0.249627i
\(35\) −5.74564 + 0.463836i −0.971191 + 0.0784026i
\(36\) 1.06585 + 3.67974i 0.177642 + 0.613290i
\(37\) −2.53590 + 1.08044i −0.416899 + 0.177624i −0.590222 0.807241i \(-0.700960\pi\)
0.173323 + 0.984865i \(0.444549\pi\)
\(38\) −6.06642 + 8.78873i −0.984104 + 1.42572i
\(39\) 0.578588 + 3.55883i 0.0926482 + 0.569868i
\(40\) −5.97970 8.66309i −0.945473 1.36975i
\(41\) −2.33678 1.47769i −0.364944 0.230777i 0.339389 0.940646i \(-0.389780\pi\)
−0.704333 + 0.709869i \(0.748754\pi\)
\(42\) 5.77082 0.937849i 0.890457 0.144713i
\(43\) 1.49768 + 0.638101i 0.228394 + 0.0973095i 0.503132 0.864210i \(-0.332181\pi\)
−0.274738 + 0.961519i \(0.588591\pi\)
\(44\) −3.53329 + 5.11885i −0.532663 + 0.771696i
\(45\) 0.662379 2.28680i 0.0987417 0.340896i
\(46\) −4.62202 9.74070i −0.681479 1.43619i
\(47\) 0.0319343 0.0842038i 0.00465810 0.0122824i −0.932667 0.360738i \(-0.882525\pi\)
0.937325 + 0.348456i \(0.113294\pi\)
\(48\) 1.90653 + 2.33508i 0.275184 + 0.337039i
\(49\) 0.0458184 + 1.13697i 0.00654548 + 0.162424i
\(50\) 0.0649700 + 1.61221i 0.00918815 + 0.228002i
\(51\) 0.882591 0.217539i 0.123587 0.0304616i
\(52\) 7.38321 + 11.6740i 1.02387 + 1.61890i
\(53\) 8.03169 + 1.97963i 1.10324 + 0.271923i 0.748561 0.663066i \(-0.230745\pi\)
0.354676 + 0.934989i \(0.384591\pi\)
\(54\) −0.483011 + 2.36595i −0.0657295 + 0.321964i
\(55\) 3.55607 1.51510i 0.479500 0.204296i
\(56\) 9.04774 5.72144i 1.20906 0.764560i
\(57\) −3.91589 + 2.05522i −0.518672 + 0.272220i
\(58\) −16.6344 2.70336i −2.18421 0.354968i
\(59\) −6.35372 + 2.12118i −0.827184 + 0.276155i −0.698572 0.715540i \(-0.746181\pi\)
−0.128613 + 0.991695i \(0.541052\pi\)
\(60\) −1.09939 9.05432i −0.141931 1.16891i
\(61\) −1.45953 + 5.03887i −0.186873 + 0.645161i 0.811294 + 0.584639i \(0.198764\pi\)
−0.998167 + 0.0605222i \(0.980723\pi\)
\(62\) −0.942379 + 4.61608i −0.119682 + 0.586243i
\(63\) 2.29658 + 0.766710i 0.289341 + 0.0965964i
\(64\) −8.68134 4.55632i −1.08517 0.569540i
\(65\) −0.000522863 8.58409i −6.48532e−5 1.06472i
\(66\) −3.47143 + 1.82195i −0.427303 + 0.224266i
\(67\) 9.88905 1.60713i 1.20814 0.196342i 0.477207 0.878791i \(-0.341649\pi\)
0.730933 + 0.682449i \(0.239085\pi\)
\(68\) 2.78398 2.09202i 0.337607 0.253695i
\(69\) 0.179784 4.46130i 0.0216435 0.537078i
\(70\) −13.9194 −1.66369
\(71\) 0.458426 11.3757i 0.0544051 1.35005i −0.709493 0.704712i \(-0.751076\pi\)
0.763898 0.645336i \(-0.223283\pi\)
\(72\) 0.884392 + 4.33204i 0.104227 + 0.510535i
\(73\) −7.97686 11.5565i −0.933621 1.35258i −0.935780 0.352586i \(-0.885303\pi\)
0.00215885 0.999998i \(-0.499313\pi\)
\(74\) −6.31362 + 2.10780i −0.733944 + 0.245026i
\(75\) −0.286451 + 0.603682i −0.0330765 + 0.0697072i
\(76\) −10.7151 + 13.1237i −1.22911 + 1.50539i
\(77\) 1.39393 + 3.67549i 0.158853 + 0.418861i
\(78\) 0.701110 + 8.67821i 0.0793851 + 0.982614i
\(79\) −1.73199 + 4.56688i −0.194864 + 0.513814i −0.996462 0.0840499i \(-0.973214\pi\)
0.801598 + 0.597864i \(0.203984\pi\)
\(80\) −3.58850 6.21547i −0.401207 0.694911i
\(81\) −0.632445 + 0.774605i −0.0702717 + 0.0860672i
\(82\) −5.33731 4.01073i −0.589408 0.442911i
\(83\) 5.30072 + 2.78203i 0.581830 + 0.305368i 0.729840 0.683618i \(-0.239595\pi\)
−0.148010 + 0.988986i \(0.547287\pi\)
\(84\) 9.24545 0.746370i 1.00876 0.0814356i
\(85\) −2.15714 + 0.174142i −0.233975 + 0.0188884i
\(86\) 3.48080 + 1.82686i 0.375344 + 0.196996i
\(87\) −5.57936 4.19262i −0.598171 0.449496i
\(88\) −4.53995 + 5.56043i −0.483961 + 0.592744i
\(89\) 8.08312 + 14.0004i 0.856809 + 1.48404i 0.874956 + 0.484202i \(0.160890\pi\)
−0.0181469 + 0.999835i \(0.505777\pi\)
\(90\) 2.03863 5.37543i 0.214891 0.566620i
\(91\) 8.72263 + 0.350978i 0.914380 + 0.0367925i
\(92\) −6.06556 15.9936i −0.632378 1.66744i
\(93\) −1.23393 + 1.51129i −0.127953 + 0.156714i
\(94\) 0.0932245 0.196466i 0.00961537 0.0202640i
\(95\) 9.98711 3.33419i 1.02466 0.342080i
\(96\) −0.888131 1.28668i −0.0906445 0.131321i
\(97\) −0.118878 0.582303i −0.0120702 0.0591239i 0.973309 0.229497i \(-0.0737080\pi\)
−0.985380 + 0.170373i \(0.945503\pi\)
\(98\) −0.110640 + 2.74550i −0.0111763 + 0.277337i
\(99\) −1.62356 −0.163174
\(100\) −0.103075 + 2.55778i −0.0103075 + 0.255778i
\(101\) 13.8857 10.4345i 1.38168 1.03827i 0.388532 0.921435i \(-0.372982\pi\)
0.993152 0.116832i \(-0.0372740\pi\)
\(102\) 2.16659 0.352105i 0.214525 0.0348636i
\(103\) 12.8747 6.75715i 1.26858 0.665801i 0.310029 0.950727i \(-0.399661\pi\)
0.958550 + 0.284926i \(0.0919689\pi\)
\(104\) 7.40927 + 14.1151i 0.726538 + 1.38410i
\(105\) −5.10407 2.67882i −0.498106 0.261426i
\(106\) 18.9469 + 6.32542i 1.84029 + 0.614379i
\(107\) 1.72179 8.43388i 0.166452 0.815334i −0.807727 0.589556i \(-0.799303\pi\)
0.974179 0.225778i \(-0.0724923\pi\)
\(108\) −1.06585 + 3.67974i −0.102561 + 0.354083i
\(109\) −1.15665 9.52585i −0.110787 0.912411i −0.937066 0.349151i \(-0.886470\pi\)
0.826280 0.563260i \(-0.190453\pi\)
\(110\) 8.85355 2.95575i 0.844153 0.281820i
\(111\) −2.72077 0.442169i −0.258244 0.0419688i
\(112\) 6.46271 3.39189i 0.610669 0.320504i
\(113\) −2.01526 + 1.27437i −0.189579 + 0.119883i −0.625884 0.779916i \(-0.715262\pi\)
0.436304 + 0.899799i \(0.356287\pi\)
\(114\) −9.82455 + 4.18585i −0.920154 + 0.392041i
\(115\) −2.12629 + 10.4153i −0.198278 + 0.971228i
\(116\) −25.9599 6.39853i −2.41031 0.594089i
\(117\) −1.41305 + 3.31712i −0.130637 + 0.306668i
\(118\) −15.7050 + 3.87094i −1.44577 + 0.356349i
\(119\) −0.0886199 2.19908i −0.00812377 0.201589i
\(120\) −0.423857 10.5179i −0.0386927 0.960148i
\(121\) 5.28980 + 6.47882i 0.480891 + 0.588984i
\(122\) −4.49204 + 11.8445i −0.406690 + 1.07235i
\(123\) −1.18525 2.49786i −0.106870 0.225225i
\(124\) −2.07953 + 7.17936i −0.186747 + 0.644726i
\(125\) −5.85854 + 8.48755i −0.524003 + 0.759150i
\(126\) 5.37869 + 2.29164i 0.479172 + 0.204156i
\(127\) 16.6329 2.70310i 1.47593 0.239861i 0.631435 0.775429i \(-0.282466\pi\)
0.844492 + 0.535568i \(0.179902\pi\)
\(128\) −17.3671 10.9823i −1.53505 0.970708i
\(129\) 0.924779 + 1.33977i 0.0814223 + 0.117961i
\(130\) 1.66668 20.6613i 0.146178 1.81211i
\(131\) −8.24346 + 11.9427i −0.720235 + 1.04344i 0.276365 + 0.961053i \(0.410870\pi\)
−0.996600 + 0.0823877i \(0.973745\pi\)
\(132\) −5.72215 + 2.43798i −0.498050 + 0.212199i
\(133\) 2.97903 + 10.2848i 0.258314 + 0.891805i
\(134\) 24.1144 1.94672i 2.08317 0.168171i
\(135\) 1.78205 1.57876i 0.153375 0.135878i
\(136\) 3.39688 2.14805i 0.291280 0.184194i
\(137\) −17.0426 7.26119i −1.45605 0.620366i −0.488392 0.872624i \(-0.662416\pi\)
−0.967660 + 0.252259i \(0.918827\pi\)
\(138\) 1.29959 10.7030i 0.110628 0.911104i
\(139\) 3.81708 + 18.6973i 0.323761 + 1.58588i 0.737409 + 0.675447i \(0.236049\pi\)
−0.413648 + 0.910437i \(0.635746\pi\)
\(140\) −22.0115 1.77696i −1.86031 0.150180i
\(141\) 0.0719946 0.0541004i 0.00606304 0.00455608i
\(142\) 3.31376 27.2913i 0.278085 2.29024i
\(143\) −5.62263 + 1.62898i −0.470188 + 0.136223i
\(144\) 0.363363 + 2.99256i 0.0302802 + 0.249380i
\(145\) 11.5101 + 11.9833i 0.955864 + 0.995160i
\(146\) −16.9541 29.3654i −1.40313 2.43030i
\(147\) −0.568947 + 0.985445i −0.0469260 + 0.0812781i
\(148\) −10.2532 + 2.52718i −0.842805 + 0.207733i
\(149\) −2.10112 2.57340i −0.172130 0.210821i 0.681334 0.731973i \(-0.261400\pi\)
−0.853464 + 0.521151i \(0.825503\pi\)
\(150\) −0.806762 + 1.39735i −0.0658718 + 0.114093i
\(151\) −6.15529 16.2302i −0.500910 1.32079i −0.912371 0.409364i \(-0.865751\pi\)
0.411461 0.911427i \(-0.365019\pi\)
\(152\) −13.5451 + 14.1020i −1.09865 + 1.14382i
\(153\) 0.862225 + 0.287853i 0.0697067 + 0.0232715i
\(154\) 2.64090 + 9.11745i 0.212810 + 0.734705i
\(155\) 3.47688 3.08024i 0.279269 0.247411i
\(156\) 0.000841351 13.8129i 6.73620e−5 1.10591i
\(157\) 11.1260 + 9.85681i 0.887954 + 0.786659i 0.977853 0.209292i \(-0.0671160\pi\)
−0.0898990 + 0.995951i \(0.528654\pi\)
\(158\) −5.05612 + 10.6556i −0.402244 + 0.847711i
\(159\) 5.73026 + 5.96583i 0.454439 + 0.473121i
\(160\) 1.59569 + 3.36284i 0.126150 + 0.265856i
\(161\) −10.4963 2.58709i −0.827221 0.203892i
\(162\) −1.67275 + 1.74152i −0.131424 + 0.136827i
\(163\) 4.10868 + 3.08747i 0.321816 + 0.241829i 0.749356 0.662167i \(-0.230363\pi\)
−0.427540 + 0.903997i \(0.640620\pi\)
\(164\) −7.92818 7.02376i −0.619087 0.548463i
\(165\) 3.81532 + 0.620050i 0.297023 + 0.0482709i
\(166\) 12.2178 + 7.72608i 0.948286 + 0.599660i
\(167\) 6.87369 + 0.554901i 0.531902 + 0.0429396i 0.343500 0.939153i \(-0.388387\pi\)
0.188402 + 0.982092i \(0.439669\pi\)
\(168\) 10.7050 0.825907
\(169\) −1.56540 + 12.9054i −0.120416 + 0.992724i
\(170\) −5.22589 −0.400807
\(171\) −4.40811 0.355860i −0.337097 0.0272133i
\(172\) 5.27116 + 3.33328i 0.401922 + 0.254160i
\(173\) 18.1718 + 2.95320i 1.38157 + 0.224528i 0.805367 0.592776i \(-0.201968\pi\)
0.576207 + 0.817304i \(0.304532\pi\)
\(174\) −12.6144 11.1754i −0.956296 0.847204i
\(175\) 1.29336 + 0.971894i 0.0977685 + 0.0734683i
\(176\) −3.39040 + 3.52978i −0.255561 + 0.266067i
\(177\) −6.50380 1.60304i −0.488856 0.120492i
\(178\) 16.7350 + 35.2683i 1.25434 + 2.64347i
\(179\) −12.2992 12.8048i −0.919282 0.957074i 0.0799288 0.996801i \(-0.474531\pi\)
−0.999211 + 0.0397269i \(0.987351\pi\)
\(180\) 3.91003 8.24021i 0.291436 0.614189i
\(181\) 0.559017 + 0.495246i 0.0415514 + 0.0368114i 0.683643 0.729817i \(-0.260395\pi\)
−0.642091 + 0.766628i \(0.721933\pi\)
\(182\) 20.9264 + 2.53963i 1.55117 + 0.188250i
\(183\) −3.92668 + 3.47873i −0.290269 + 0.257155i
\(184\) −5.49234 18.9618i −0.404901 1.39788i
\(185\) 6.22486 + 2.07816i 0.457661 + 0.152790i
\(186\) −3.26363 + 3.39780i −0.239301 + 0.249138i
\(187\) 0.523336 + 1.37992i 0.0382701 + 0.100910i
\(188\) 0.172502 0.298782i 0.0125810 0.0217909i
\(189\) 1.53126 + 1.87546i 0.111383 + 0.136419i
\(190\) 24.6860 6.08455i 1.79091 0.441419i
\(191\) −0.433314 + 0.750523i −0.0313535 + 0.0543059i −0.881276 0.472601i \(-0.843315\pi\)
0.849923 + 0.526907i \(0.176648\pi\)
\(192\) −4.90219 8.49084i −0.353785 0.612773i
\(193\) −10.1673 10.5853i −0.731857 0.761944i 0.246438 0.969158i \(-0.420740\pi\)
−0.978296 + 0.207214i \(0.933560\pi\)
\(194\) −0.172984 1.42465i −0.0124195 0.102284i
\(195\) 4.58746 7.25546i 0.328515 0.519575i
\(196\) −0.525452 + 4.32748i −0.0375323 + 0.309106i
\(197\) −1.56704 + 1.17755i −0.111647 + 0.0838973i −0.655099 0.755543i \(-0.727373\pi\)
0.543452 + 0.839440i \(0.317117\pi\)
\(198\) −3.90778 0.315469i −0.277714 0.0224194i
\(199\) 1.49866 + 7.34090i 0.106237 + 0.520383i 0.997730 + 0.0673475i \(0.0214536\pi\)
−0.891493 + 0.453035i \(0.850341\pi\)
\(200\) −0.356108 + 2.93281i −0.0251806 + 0.207381i
\(201\) 9.21709 + 3.92703i 0.650123 + 0.276992i
\(202\) 35.4493 22.4168i 2.49420 1.57724i
\(203\) −12.6480 + 11.2052i −0.887716 + 0.786448i
\(204\) 3.47110 0.280216i 0.243026 0.0196191i
\(205\) 1.83135 + 6.32254i 0.127907 + 0.441586i
\(206\) 32.3012 13.7622i 2.25053 0.958861i
\(207\) 2.53637 3.67456i 0.176290 0.255400i
\(208\) 4.26092 + 9.99907i 0.295442 + 0.693311i
\(209\) −4.07879 5.90914i −0.282135 0.408744i
\(210\) −11.7645 7.43945i −0.811831 0.513371i
\(211\) 1.51308 0.245899i 0.104165 0.0169284i −0.108106 0.994139i \(-0.534478\pi\)
0.212270 + 0.977211i \(0.431914\pi\)
\(212\) 29.1544 + 12.4215i 2.00233 + 0.853113i
\(213\) 6.46739 9.36963i 0.443138 0.641996i
\(214\) 5.78296 19.9651i 0.395315 1.36479i
\(215\) −1.66153 3.50160i −0.113316 0.238807i
\(216\) −1.56785 + 4.13407i −0.106678 + 0.281288i
\(217\) 2.98757 + 3.65911i 0.202810 + 0.248397i
\(218\) −0.933020 23.1527i −0.0631921 1.56810i
\(219\) −0.565421 14.0308i −0.0382076 0.948112i
\(220\) 14.3780 3.54385i 0.969361 0.238926i
\(221\) 3.27481 + 0.131771i 0.220288 + 0.00886386i
\(222\) −6.46276 1.59293i −0.433752 0.106910i
\(223\) 3.45545 16.9259i 0.231394 1.13344i −0.683564 0.729891i \(-0.739571\pi\)
0.914957 0.403551i \(-0.132224\pi\)
\(224\) −3.48245 + 1.48373i −0.232681 + 0.0991360i
\(225\) −0.564753 + 0.357128i −0.0376502 + 0.0238085i
\(226\) −5.09817 + 2.67573i −0.339125 + 0.177987i
\(227\) −23.4199 3.80611i −1.55443 0.252620i −0.678336 0.734752i \(-0.737298\pi\)
−0.876099 + 0.482132i \(0.839863\pi\)
\(228\) −16.0705 + 5.36512i −1.06429 + 0.355314i
\(229\) 1.64957 + 13.5854i 0.109007 + 0.897751i 0.939931 + 0.341365i \(0.110889\pi\)
−0.830924 + 0.556386i \(0.812188\pi\)
\(230\) −7.14155 + 24.6555i −0.470900 + 1.62573i
\(231\) −0.786289 + 3.85150i −0.0517340 + 0.253410i
\(232\) −29.2692 9.77148i −1.92161 0.641529i
\(233\) 15.5076 + 8.13904i 1.01594 + 0.533206i 0.888614 0.458655i \(-0.151669\pi\)
0.127325 + 0.991861i \(0.459361\pi\)
\(234\) −4.04564 + 7.70946i −0.264472 + 0.503983i
\(235\) −0.189846 + 0.0996390i −0.0123842 + 0.00649973i
\(236\) −25.3294 + 4.11643i −1.64880 + 0.267957i
\(237\) −3.90470 + 2.93419i −0.253638 + 0.190596i
\(238\) 0.213994 5.31022i 0.0138712 0.344210i
\(239\) −16.9722 −1.09784 −0.548920 0.835875i \(-0.684961\pi\)
−0.548920 + 0.835875i \(0.684961\pi\)
\(240\) 0.288989 7.17119i 0.0186542 0.462898i
\(241\) 2.77223 + 13.5793i 0.178575 + 0.874719i 0.966047 + 0.258368i \(0.0831847\pi\)
−0.787471 + 0.616351i \(0.788610\pi\)
\(242\) 11.4732 + 16.6218i 0.737526 + 1.06849i
\(243\) −0.948536 + 0.316668i −0.0608486 + 0.0203143i
\(244\) −8.61559 + 18.1570i −0.551557 + 1.16238i
\(245\) 1.71335 2.09848i 0.109462 0.134067i
\(246\) −2.36745 6.24244i −0.150943 0.398004i
\(247\) −15.6229 + 3.19044i −0.994064 + 0.203003i
\(248\) −3.05895 + 8.06578i −0.194243 + 0.512178i
\(249\) 2.99321 + 5.18440i 0.189687 + 0.328548i
\(250\) −15.7502 + 19.2905i −0.996129 + 1.22004i
\(251\) −15.2476 11.4578i −0.962417 0.723210i −0.00148669 0.999999i \(-0.500473\pi\)
−0.960931 + 0.276789i \(0.910730\pi\)
\(252\) 8.21307 + 4.31055i 0.517375 + 0.271539i
\(253\) 7.22559 0.583310i 0.454269 0.0366724i
\(254\) 40.5591 3.27427i 2.54490 0.205446i
\(255\) −1.91627 1.00573i −0.120001 0.0629815i
\(256\) −23.9912 18.0282i −1.49945 1.12676i
\(257\) 6.90987 8.46306i 0.431026 0.527911i −0.512732 0.858549i \(-0.671366\pi\)
0.943758 + 0.330638i \(0.107264\pi\)
\(258\) 1.96554 + 3.40441i 0.122369 + 0.211949i
\(259\) −2.36660 + 6.24021i −0.147053 + 0.387748i
\(260\) 5.27324 32.4601i 0.327033 2.01309i
\(261\) −2.47481 6.52554i −0.153187 0.403921i
\(262\) −22.1619 + 27.1434i −1.36916 + 1.67692i
\(263\) −1.38727 + 2.92360i −0.0855424 + 0.180277i −0.941714 0.336415i \(-0.890785\pi\)
0.856171 + 0.516692i \(0.172837\pi\)
\(264\) −6.80899 + 2.27317i −0.419064 + 0.139904i
\(265\) −11.1875 16.2079i −0.687244 0.995645i
\(266\) 5.17187 + 25.3335i 0.317108 + 1.55330i
\(267\) −0.650949 + 16.1531i −0.0398374 + 0.988556i
\(268\) 38.3820 2.34455
\(269\) 0.335240 8.31890i 0.0204399 0.507212i −0.956249 0.292553i \(-0.905495\pi\)
0.976689 0.214659i \(-0.0688639\pi\)
\(270\) 4.59601 3.45368i 0.279704 0.210184i
\(271\) −22.0577 + 3.58472i −1.33991 + 0.217756i −0.787756 0.615987i \(-0.788757\pi\)
−0.552152 + 0.833743i \(0.686193\pi\)
\(272\) 2.42636 1.27345i 0.147119 0.0772142i
\(273\) 7.18469 + 4.95859i 0.434837 + 0.300107i
\(274\) −39.6093 20.7886i −2.39289 1.25588i
\(275\) −1.02903 0.343540i −0.0620528 0.0207163i
\(276\) 3.42146 16.7594i 0.205948 1.00880i
\(277\) 0.862729 2.97848i 0.0518363 0.178960i −0.930423 0.366487i \(-0.880560\pi\)
0.982259 + 0.187528i \(0.0600474\pi\)
\(278\) 5.55439 + 45.7445i 0.333130 + 2.74357i
\(279\) −1.85064 + 0.617835i −0.110795 + 0.0369888i
\(280\) −25.1563 4.08830i −1.50338 0.244323i
\(281\) 22.0618 11.5789i 1.31609 0.690740i 0.347102 0.937828i \(-0.387166\pi\)
0.968993 + 0.247088i \(0.0794736\pi\)
\(282\) 0.183797 0.116226i 0.0109450 0.00692117i
\(283\) 9.72819 4.14479i 0.578281 0.246382i −0.0829640 0.996553i \(-0.526439\pi\)
0.661245 + 0.750170i \(0.270028\pi\)
\(284\) 8.72426 42.7342i 0.517689 2.53581i
\(285\) 10.2230 + 2.51975i 0.605559 + 0.149257i
\(286\) −13.8497 + 2.82832i −0.818950 + 0.167242i
\(287\) −6.49956 + 1.60200i −0.383657 + 0.0945629i
\(288\) −0.0629531 1.56217i −0.00370955 0.0920515i
\(289\) 0.651250 + 16.1606i 0.0383088 + 0.950623i
\(290\) 25.3755 + 31.0793i 1.49010 + 1.82504i
\(291\) 0.210746 0.555693i 0.0123542 0.0325753i
\(292\) −23.0617 48.6016i −1.34959 2.84419i
\(293\) −8.50388 + 29.3588i −0.496802 + 1.71516i 0.184211 + 0.982887i \(0.441027\pi\)
−0.681012 + 0.732272i \(0.738460\pi\)
\(294\) −1.56089 + 2.26133i −0.0910327 + 0.131884i
\(295\) 14.6715 + 6.25095i 0.854208 + 0.363944i
\(296\) −12.0296 + 1.95500i −0.699207 + 0.113632i
\(297\) −1.37222 0.867740i −0.0796243 0.0503514i
\(298\) −4.55718 6.60222i −0.263991 0.382456i
\(299\) 5.09696 15.2703i 0.294765 0.883107i
\(300\) −1.45416 + 2.10672i −0.0839562 + 0.121632i
\(301\) 3.62615 1.54496i 0.209008 0.0890498i
\(302\) −11.6616 40.2606i −0.671051 2.31674i
\(303\) 17.3130 1.39765i 0.994603 0.0802927i
\(304\) −9.97889 + 8.84053i −0.572329 + 0.507039i
\(305\) 10.5561 6.67529i 0.604442 0.382226i
\(306\) 2.01937 + 0.860373i 0.115440 + 0.0491843i
\(307\) 4.03924 33.2662i 0.230532 1.89860i −0.175080 0.984554i \(-0.556018\pi\)
0.405611 0.914046i \(-0.367059\pi\)
\(308\) 3.01227 + 14.7551i 0.171640 + 0.840749i
\(309\) 14.4930 + 1.17000i 0.824478 + 0.0665588i
\(310\) 8.96705 6.73830i 0.509294 0.382710i
\(311\) 1.89293 15.5897i 0.107338 0.884012i −0.835207 0.549935i \(-0.814652\pi\)
0.942546 0.334077i \(-0.108424\pi\)
\(312\) −1.28179 + 15.8899i −0.0725673 + 0.899590i
\(313\) −0.794168 6.54056i −0.0448890 0.369694i −0.997792 0.0664185i \(-0.978843\pi\)
0.952903 0.303276i \(-0.0980803\pi\)
\(314\) 24.8642 + 25.8864i 1.40317 + 1.46085i
\(315\) −2.88217 4.99206i −0.162392 0.281271i
\(316\) −9.35583 + 16.2048i −0.526306 + 0.911589i
\(317\) 19.9347 4.91347i 1.11965 0.275968i 0.364292 0.931285i \(-0.381311\pi\)
0.755354 + 0.655316i \(0.227465\pi\)
\(318\) 12.6330 + 15.4727i 0.708426 + 0.867664i
\(319\) 5.66548 9.81291i 0.317206 0.549417i
\(320\) 8.27727 + 21.8254i 0.462713 + 1.22007i
\(321\) 5.96286 6.20800i 0.332814 0.346497i
\(322\) −24.7609 8.26640i −1.37987 0.460669i
\(323\) 1.11844 + 3.86132i 0.0622319 + 0.214849i
\(324\) −2.86754 + 2.54042i −0.159308 + 0.141134i
\(325\) −1.59750 + 1.80342i −0.0886131 + 0.100036i
\(326\) 9.28932 + 8.22962i 0.514488 + 0.455797i
\(327\) 4.11365 8.66934i 0.227486 0.479416i
\(328\) −8.46805 8.81617i −0.467570 0.486792i
\(329\) −0.0934728 0.196990i −0.00515332 0.0108604i
\(330\) 9.06268 + 2.23375i 0.498884 + 0.122964i
\(331\) −2.15489 + 2.24348i −0.118443 + 0.123313i −0.777784 0.628532i \(-0.783656\pi\)
0.659340 + 0.751845i \(0.270836\pi\)
\(332\) 18.3344 + 13.7774i 1.00623 + 0.756134i
\(333\) −2.06325 1.82788i −0.113065 0.100167i
\(334\) 16.4366 + 2.67120i 0.899369 + 0.146162i
\(335\) −20.1601 12.7485i −1.10146 0.696523i
\(336\) 7.27507 + 0.587305i 0.396888 + 0.0320401i
\(337\) 2.33252 0.127060 0.0635302 0.997980i \(-0.479764\pi\)
0.0635302 + 0.997980i \(0.479764\pi\)
\(338\) −6.27540 + 30.7581i −0.341337 + 1.67302i
\(339\) −2.38438 −0.129502
\(340\) −8.26399 0.667139i −0.448178 0.0361807i
\(341\) −2.67727 1.69300i −0.144982 0.0916814i
\(342\) −10.5408 1.71305i −0.569982 0.0926311i
\(343\) 14.7481 + 13.0657i 0.796324 + 0.705482i
\(344\) 5.75422 + 4.32402i 0.310247 + 0.233135i
\(345\) −7.36372 + 7.66644i −0.396449 + 0.412747i
\(346\) 43.1641 + 10.6390i 2.32052 + 0.571956i
\(347\) 3.82777 + 8.06685i 0.205485 + 0.433051i 0.979863 0.199673i \(-0.0639880\pi\)
−0.774377 + 0.632724i \(0.781937\pi\)
\(348\) −18.5212 19.2826i −0.992842 1.03366i
\(349\) 12.6389 26.6360i 0.676546 1.42579i −0.216707 0.976237i \(-0.569532\pi\)
0.893253 0.449554i \(-0.148417\pi\)
\(350\) 2.92415 + 2.59057i 0.156303 + 0.138472i
\(351\) −2.96719 + 2.04837i −0.158377 + 0.109334i
\(352\) 1.89997 1.68323i 0.101269 0.0897163i
\(353\) 0.775948 + 2.67888i 0.0412996 + 0.142583i 0.978519 0.206159i \(-0.0660963\pi\)
−0.937219 + 0.348741i \(0.886609\pi\)
\(354\) −15.3426 5.12212i −0.815451 0.272238i
\(355\) −18.7765 + 19.5484i −0.996551 + 1.03752i
\(356\) 21.9617 + 57.9082i 1.16397 + 3.06913i
\(357\) 1.10043 1.90600i 0.0582410 0.100876i
\(358\) −27.1150 33.2098i −1.43307 1.75519i
\(359\) 11.4942 2.83307i 0.606642 0.149524i 0.0759829 0.997109i \(-0.475791\pi\)
0.530659 + 0.847585i \(0.321944\pi\)
\(360\) 5.26322 9.11616i 0.277396 0.480464i
\(361\) −0.279051 0.483331i −0.0146869 0.0254385i
\(362\) 1.24928 + 1.30064i 0.0656606 + 0.0683599i
\(363\) 1.00817 + 8.30305i 0.0529154 + 0.435797i
\(364\) 32.7679 + 6.68754i 1.71751 + 0.350522i
\(365\) −4.02973 + 33.1878i −0.210926 + 1.73713i
\(366\) −10.1271 + 7.61004i −0.529353 + 0.397783i
\(367\) −32.4015 2.61572i −1.69135 0.136540i −0.803081 0.595870i \(-0.796807\pi\)
−0.888266 + 0.459330i \(0.848090\pi\)
\(368\) −2.69229 13.1877i −0.140345 0.687456i
\(369\) 0.333260 2.74464i 0.0173488 0.142880i
\(370\) 14.5789 + 6.21149i 0.757922 + 0.322920i
\(371\) 16.9276 10.7044i 0.878836 0.555742i
\(372\) −5.59472 + 4.95649i −0.290073 + 0.256982i
\(373\) 11.0220 0.889787i 0.570697 0.0460714i 0.208250 0.978076i \(-0.433223\pi\)
0.362447 + 0.932004i \(0.381941\pi\)
\(374\) 0.991498 + 3.42305i 0.0512691 + 0.177002i
\(375\) −9.48788 + 4.04241i −0.489952 + 0.208749i
\(376\) 0.226188 0.327690i 0.0116647 0.0168993i
\(377\) −15.1179 20.1158i −0.778613 1.03601i
\(378\) 3.32121 + 4.81160i 0.170824 + 0.247482i
\(379\) −2.77041 1.75190i −0.142306 0.0899891i 0.461415 0.887184i \(-0.347342\pi\)
−0.603722 + 0.797195i \(0.706316\pi\)
\(380\) 39.8141 6.47042i 2.04242 0.331926i
\(381\) 15.5026 + 6.60506i 0.794224 + 0.338387i
\(382\) −1.18878 + 1.72225i −0.0608234 + 0.0881179i
\(383\) −9.17964 + 31.6918i −0.469058 + 1.61937i 0.282193 + 0.959358i \(0.408938\pi\)
−0.751251 + 0.660017i \(0.770549\pi\)
\(384\) −8.80886 18.5643i −0.449525 0.947355i
\(385\) 3.31867 8.75060i 0.169135 0.445972i
\(386\) −22.4150 27.4534i −1.14089 1.39734i
\(387\) 0.0655508 + 1.62663i 0.00333213 + 0.0826861i
\(388\) −0.0916780 2.27497i −0.00465425 0.115494i
\(389\) 23.0355 5.67774i 1.16795 0.287873i 0.392781 0.919632i \(-0.371513\pi\)
0.775165 + 0.631759i \(0.217667\pi\)
\(390\) 12.4514 16.5719i 0.630502 0.839152i
\(391\) −3.94070 0.971296i −0.199290 0.0491206i
\(392\) −1.00634 + 4.92940i −0.0508280 + 0.248972i
\(393\) −13.3503 + 5.68802i −0.673432 + 0.286923i
\(394\) −4.00054 + 2.52979i −0.201544 + 0.127449i
\(395\) 10.2965 5.40402i 0.518073 0.271906i
\(396\) −6.13933 0.997737i −0.308513 0.0501382i
\(397\) 16.8410 5.62236i 0.845227 0.282178i 0.139113 0.990276i \(-0.455575\pi\)
0.706114 + 0.708098i \(0.250447\pi\)
\(398\) 2.18075 + 17.9601i 0.109311 + 0.900260i
\(399\) −2.97903 + 10.2848i −0.149138 + 0.514884i
\(400\) −0.402912 + 1.97360i −0.0201456 + 0.0986798i
\(401\) −15.3924 5.13873i −0.768659 0.256616i −0.0948200 0.995494i \(-0.530228\pi\)
−0.673839 + 0.738878i \(0.735356\pi\)
\(402\) 21.4217 + 11.2430i 1.06842 + 0.560749i
\(403\) −5.78913 + 3.99647i −0.288377 + 0.199078i
\(404\) 58.9197 30.9234i 2.93136 1.53850i
\(405\) 2.34997 0.381907i 0.116771 0.0189771i
\(406\) −32.6199 + 24.5123i −1.61890 + 1.21652i
\(407\) 0.180202 4.47168i 0.00893230 0.221653i
\(408\) 4.01907 0.198973
\(409\) −0.730669 + 18.1314i −0.0361293 + 0.896539i 0.874927 + 0.484256i \(0.160910\pi\)
−0.911056 + 0.412283i \(0.864731\pi\)
\(410\) 3.17939 + 15.5737i 0.157019 + 0.769129i
\(411\) −10.5234 15.2458i −0.519082 0.752020i
\(412\) 52.8366 17.6394i 2.60307 0.869033i
\(413\) −6.95260 + 14.6523i −0.342115 + 0.720992i
\(414\) 6.81881 8.35153i 0.335126 0.410455i
\(415\) −5.05400 13.3263i −0.248091 0.654162i
\(416\) −1.78540 5.34683i −0.0875362 0.262150i
\(417\) −6.76691 + 17.8429i −0.331377 + 0.873769i
\(418\) −8.66911 15.0153i −0.424020 0.734424i
\(419\) −7.06065 + 8.64773i −0.344936 + 0.422469i −0.917715 0.397240i \(-0.869968\pi\)
0.572779 + 0.819710i \(0.305865\pi\)
\(420\) −17.6542 13.2663i −0.861437 0.647328i
\(421\) −9.49478 4.98324i −0.462747 0.242868i 0.217203 0.976126i \(-0.430306\pi\)
−0.679951 + 0.733258i \(0.737999\pi\)
\(422\) 3.68963 0.297858i 0.179608 0.0144995i
\(423\) 0.0897640 0.00724650i 0.00436447 0.000352337i
\(424\) 32.3847 + 16.9968i 1.57274 + 0.825437i
\(425\) 0.485576 + 0.364887i 0.0235539 + 0.0176996i
\(426\) 17.3870 21.2952i 0.842404 1.03176i
\(427\) 6.35074 + 10.9998i 0.307334 + 0.532318i
\(428\) 11.6937 30.8337i 0.565235 1.49040i
\(429\) −5.62282 1.62830i −0.271473 0.0786151i
\(430\) −3.31878 8.75091i −0.160046 0.422006i
\(431\) 15.1070 18.5027i 0.727678 0.891243i −0.269749 0.962931i \(-0.586941\pi\)
0.997427 + 0.0716871i \(0.0228383\pi\)
\(432\) −1.29231 + 2.72349i −0.0621763 + 0.131034i
\(433\) −22.4688 + 7.50120i −1.07978 + 0.360485i −0.800259 0.599654i \(-0.795305\pi\)
−0.279524 + 0.960139i \(0.590177\pi\)
\(434\) 6.47985 + 9.38768i 0.311043 + 0.450623i
\(435\) 3.32358 + 16.2800i 0.159353 + 0.780564i
\(436\) 1.48024 36.7317i 0.0708905 1.75913i
\(437\) 19.7459 0.944576
\(438\) 1.36535 33.8808i 0.0652388 1.61889i
\(439\) −15.5842 + 11.7108i −0.743793 + 0.558925i −0.903679 0.428211i \(-0.859144\pi\)
0.159885 + 0.987136i \(0.448888\pi\)
\(440\) 16.8690 2.74148i 0.804200 0.130695i
\(441\) −1.00756 + 0.528806i −0.0479788 + 0.0251812i
\(442\) 7.85660 + 0.953478i 0.373700 + 0.0453523i
\(443\) −22.5019 11.8099i −1.06910 0.561107i −0.164067 0.986449i \(-0.552461\pi\)
−0.905032 + 0.425343i \(0.860154\pi\)
\(444\) −10.0166 3.34402i −0.475365 0.158700i
\(445\) 7.69870 37.7107i 0.364953 1.78766i
\(446\) 11.6058 40.0678i 0.549549 1.89726i
\(447\) −0.400448 3.29799i −0.0189406 0.155990i
\(448\) −22.5165 + 7.51711i −1.06380 + 0.355150i
\(449\) 9.56303 + 1.55414i 0.451307 + 0.0733446i 0.381817 0.924238i \(-0.375299\pi\)
0.0694905 + 0.997583i \(0.477863\pi\)
\(450\) −1.42870 + 0.749842i −0.0673497 + 0.0353479i
\(451\) 3.79392 2.39913i 0.178649 0.112971i
\(452\) −8.40361 + 3.58044i −0.395273 + 0.168410i
\(453\) 3.47208 17.0074i 0.163132 0.799075i
\(454\) −55.6302 13.7116i −2.61085 0.643518i
\(455\) −14.9901 14.3964i −0.702745 0.674914i
\(456\) −18.9852 + 4.67943i −0.889064 + 0.219135i
\(457\) −1.35475 33.6178i −0.0633726 1.57257i −0.648234 0.761441i \(-0.724492\pi\)
0.584861 0.811133i \(-0.301149\pi\)
\(458\) 1.33064 + 33.0195i 0.0621768 + 1.54290i
\(459\) 0.574896 + 0.704120i 0.0268339 + 0.0328655i
\(460\) −14.4409 + 38.0774i −0.673309 + 1.77537i
\(461\) 12.6536 + 26.6670i 0.589339 + 1.24201i 0.950854 + 0.309639i \(0.100208\pi\)
−0.361515 + 0.932366i \(0.617740\pi\)
\(462\) −2.64090 + 9.11745i −0.122866 + 0.424182i
\(463\) −21.5213 + 31.1790i −1.00018 + 1.44901i −0.109711 + 0.993964i \(0.534992\pi\)
−0.890468 + 0.455046i \(0.849623\pi\)
\(464\) −19.3551 8.24646i −0.898540 0.382832i
\(465\) 4.58490 0.745120i 0.212620 0.0345541i
\(466\) 35.7441 + 22.6032i 1.65581 + 1.04707i
\(467\) −12.6914 18.3867i −0.587289 0.850835i 0.410857 0.911700i \(-0.365230\pi\)
−0.998146 + 0.0608648i \(0.980614\pi\)
\(468\) −7.38179 + 11.6749i −0.341223 + 0.539674i
\(469\) 13.7797 19.9634i 0.636288 0.921822i
\(470\) −0.476304 + 0.202934i −0.0219703 + 0.00936066i
\(471\) 4.13549 + 14.2774i 0.190553 + 0.657866i
\(472\) −29.5204 + 2.38313i −1.35879 + 0.109693i
\(473\) −1.97837 + 1.75268i −0.0909656 + 0.0805885i
\(474\) −9.96842 + 6.30364i −0.457865 + 0.289536i
\(475\) −2.71860 1.15829i −0.124738 0.0531459i
\(476\) 1.01631 8.37003i 0.0465823 0.383640i
\(477\) 1.65462 + 8.10488i 0.0757600 + 0.371097i
\(478\) −40.8507 3.29781i −1.86847 0.150838i
\(479\) −24.7728 + 18.6156i −1.13190 + 0.850567i −0.990243 0.139350i \(-0.955499\pi\)
−0.141655 + 0.989916i \(0.545242\pi\)
\(480\) −0.448664 + 3.69508i −0.0204786 + 0.168657i
\(481\) −8.97929 4.26005i −0.409420 0.194242i
\(482\) 4.03399 + 33.2229i 0.183743 + 1.51326i
\(483\) −7.48862 7.79648i −0.340744 0.354752i
\(484\) 16.0213 + 27.7497i 0.728241 + 1.26135i
\(485\) −0.707470 + 1.22537i −0.0321246 + 0.0556414i
\(486\) −2.34458 + 0.577886i −0.106352 + 0.0262135i
\(487\) −11.2729 13.8068i −0.510822 0.625644i 0.453218 0.891400i \(-0.350276\pi\)
−0.964040 + 0.265756i \(0.914378\pi\)
\(488\) −11.5973 + 20.0871i −0.524984 + 0.909300i
\(489\) 1.82247 + 4.80545i 0.0824147 + 0.217310i
\(490\) 4.53165 4.71794i 0.204719 0.213135i
\(491\) 12.7558 + 4.25852i 0.575663 + 0.192185i 0.589568 0.807719i \(-0.299298\pi\)
−0.0139050 + 0.999903i \(0.504426\pi\)
\(492\) −2.94686 10.1738i −0.132855 0.458668i
\(493\) −4.74856 + 4.20686i −0.213864 + 0.189467i
\(494\) −38.2230 + 4.64348i −1.71974 + 0.208920i
\(495\) 2.89328 + 2.56322i 0.130043 + 0.115208i
\(496\) −2.52136 + 5.31366i −0.113213 + 0.238591i
\(497\) −19.0949 19.8799i −0.856525 0.891737i
\(498\) 6.19705 + 13.0600i 0.277697 + 0.585233i
\(499\) −18.4848 4.55610i −0.827494 0.203959i −0.197247 0.980354i \(-0.563200\pi\)
−0.630247 + 0.776395i \(0.717046\pi\)
\(500\) −27.3693 + 28.4944i −1.22399 + 1.27431i
\(501\) 5.51300 + 4.14275i 0.246303 + 0.185084i
\(502\) −34.4733 30.5406i −1.53862 1.36310i
\(503\) −15.7627 2.56169i −0.702824 0.114220i −0.201512 0.979486i \(-0.564585\pi\)
−0.501313 + 0.865266i \(0.667149\pi\)
\(504\) 9.04774 + 5.72144i 0.403018 + 0.254853i
\(505\) −41.2186 3.32751i −1.83421 0.148072i
\(506\) 17.5047 0.778180
\(507\) −8.22056 + 10.0709i −0.365088 + 0.447263i
\(508\) 64.5564 2.86423
\(509\) 3.81978 + 0.308364i 0.169309 + 0.0136680i 0.164830 0.986322i \(-0.447292\pi\)
0.00447854 + 0.999990i \(0.498574\pi\)
\(510\) −4.41687 2.79306i −0.195582 0.123679i
\(511\) −33.5583 5.45376i −1.48453 0.241260i
\(512\) −23.4807 20.8021i −1.03771 0.919333i
\(513\) −3.53550 2.65676i −0.156096 0.117299i
\(514\) 18.2759 19.0272i 0.806116 0.839255i
\(515\) −33.6112 8.28443i −1.48109 0.365056i
\(516\) 2.67361 + 5.63451i 0.117699 + 0.248046i
\(517\) 0.101284 + 0.105448i 0.00445448 + 0.00463761i
\(518\) −6.90872 + 14.5598i −0.303552 + 0.639721i
\(519\) 13.7802 + 12.2082i 0.604884 + 0.535881i
\(520\) 9.08065 36.8513i 0.398213 1.61604i
\(521\) −19.8284 + 17.5665i −0.868700 + 0.769601i −0.974406 0.224797i \(-0.927828\pi\)
0.105706 + 0.994397i \(0.466290\pi\)
\(522\) −4.68871 16.1873i −0.205219 0.708499i
\(523\) 35.8457 + 11.9671i 1.56742 + 0.523283i 0.962100 0.272697i \(-0.0879156\pi\)
0.605323 + 0.795980i \(0.293044\pi\)
\(524\) −38.5109 + 40.0941i −1.68236 + 1.75152i
\(525\) 0.573687 + 1.51269i 0.0250378 + 0.0660192i
\(526\) −3.90710 + 6.76730i −0.170358 + 0.295068i
\(527\) 1.12165 + 1.37377i 0.0488599 + 0.0598425i
\(528\) −4.75208 + 1.17128i −0.206808 + 0.0509735i
\(529\) 1.53222 2.65388i 0.0666182 0.115386i
\(530\) −23.7781 41.1849i −1.03286 1.78896i
\(531\) −4.64018 4.83094i −0.201367 0.209645i
\(532\) 4.94449 + 40.7215i 0.214371 + 1.76550i
\(533\) −1.59968 9.83944i −0.0692899 0.426194i
\(534\) −4.70544 + 38.7527i −0.203624 + 1.67700i
\(535\) −16.3834 + 12.3113i −0.708316 + 0.532265i
\(536\) 44.1534 + 3.56443i 1.90713 + 0.153960i
\(537\) −3.55141 17.3959i −0.153255 0.750690i
\(538\) 2.42331 19.9577i 0.104476 0.860439i
\(539\) −1.69961 0.724137i −0.0732074 0.0311908i
\(540\) 7.70883 4.87477i 0.331735 0.209777i
\(541\) −23.7324 + 21.0251i −1.02034 + 0.903940i −0.995406 0.0957489i \(-0.969475\pi\)
−0.0249321 + 0.999689i \(0.507937\pi\)
\(542\) −53.7875 + 4.34218i −2.31037 + 0.186512i
\(543\) 0.207784 + 0.717353i 0.00891686 + 0.0307846i
\(544\) −1.30745 + 0.557051i −0.0560563 + 0.0238834i
\(545\) −12.9778 + 18.8016i −0.555909 + 0.805373i
\(546\) 16.3295 + 13.3309i 0.698836 + 0.570511i
\(547\) −19.2051 27.8234i −0.821151 1.18964i −0.979337 0.202233i \(-0.935180\pi\)
0.158186 0.987409i \(-0.449435\pi\)
\(548\) −59.9826 37.9307i −2.56233 1.62032i
\(549\) −5.17806 + 0.841516i −0.220994 + 0.0359150i
\(550\) −2.41003 1.02682i −0.102764 0.0437837i
\(551\) 17.5331 25.4011i 0.746935 1.08212i
\(552\) 5.49234 18.9618i 0.233770 0.807066i
\(553\) 5.06959 + 10.6839i 0.215581 + 0.454327i
\(554\) 2.65525 7.00133i 0.112811 0.297458i
\(555\) 4.15048 + 5.08342i 0.176178 + 0.215779i
\(556\) 2.94371 + 73.0474i 0.124841 + 3.09790i
\(557\) 0.598290 + 14.8464i 0.0253504 + 0.629063i 0.961068 + 0.276313i \(0.0891125\pi\)
−0.935717 + 0.352750i \(0.885246\pi\)
\(558\) −4.57439 + 1.12749i −0.193649 + 0.0477303i
\(559\) 1.85907 + 5.56746i 0.0786302 + 0.235478i
\(560\) −16.8719 4.15855i −0.712967 0.175731i
\(561\) −0.295204 + 1.44600i −0.0124635 + 0.0610503i
\(562\) 55.3507 23.5827i 2.33483 0.994777i
\(563\) 0.931250 0.588887i 0.0392475 0.0248186i −0.514698 0.857372i \(-0.672096\pi\)
0.553946 + 0.832553i \(0.313122\pi\)
\(564\) 0.305486 0.160331i 0.0128633 0.00675117i
\(565\) 5.60322 + 0.910612i 0.235729 + 0.0383097i
\(566\) 24.2203 8.08592i 1.01805 0.339877i
\(567\) 0.291841 + 2.40353i 0.0122562 + 0.100939i
\(568\) 14.0047 48.3499i 0.587625 2.02872i
\(569\) −6.91217 + 33.8581i −0.289773 + 1.41940i 0.530623 + 0.847608i \(0.321958\pi\)
−0.820396 + 0.571795i \(0.806247\pi\)
\(570\) 24.1163 + 8.05121i 1.01012 + 0.337228i
\(571\) −29.3677 15.4133i −1.22900 0.645028i −0.279906 0.960027i \(-0.590303\pi\)
−0.949092 + 0.314999i \(0.897996\pi\)
\(572\) −22.2624 + 2.70452i −0.930837 + 0.113082i
\(573\) −0.767362 + 0.402743i −0.0320570 + 0.0168248i
\(574\) −15.9552 + 2.59297i −0.665956 + 0.108228i
\(575\) 2.38509 1.79228i 0.0994653 0.0747433i
\(576\) 0.394782 9.79642i 0.0164493 0.408184i
\(577\) −21.3997 −0.890880 −0.445440 0.895312i \(-0.646953\pi\)
−0.445440 + 0.895312i \(0.646953\pi\)
\(578\) −1.57260 + 39.0237i −0.0654116 + 1.62317i
\(579\) −2.93583 14.3806i −0.122009 0.597639i
\(580\) 36.1601 + 52.3869i 1.50147 + 2.17525i
\(581\) 13.7483 4.58985i 0.570375 0.190419i
\(582\) 0.615224 1.29656i 0.0255018 0.0537440i
\(583\) −8.49388 + 10.4031i −0.351781 + 0.430853i
\(584\) −22.0160 58.0513i −0.911027 2.40218i
\(585\) 7.75507 3.68041i 0.320633 0.152166i
\(586\) −26.1727 + 69.0118i −1.08118 + 2.85085i
\(587\) −15.7504 27.2805i −0.650089 1.12599i −0.983101 0.183065i \(-0.941398\pi\)
0.333012 0.942923i \(-0.391935\pi\)
\(588\) −2.75700 + 3.37671i −0.113697 + 0.139253i
\(589\) −6.89794 5.18347i −0.284225 0.213581i
\(590\) 34.0985 + 17.8963i 1.40381 + 0.736777i
\(591\) −1.95381 + 0.157728i −0.0803690 + 0.00648805i
\(592\) −8.28254 + 0.668636i −0.340410 + 0.0274808i
\(593\) −35.9430 18.8643i −1.47600 0.774665i −0.481210 0.876606i \(-0.659802\pi\)
−0.994790 + 0.101941i \(0.967495\pi\)
\(594\) −3.13421 2.35521i −0.128598 0.0966353i
\(595\) −3.31389 + 4.05878i −0.135856 + 0.166394i
\(596\) −6.36369 11.0222i −0.260667 0.451488i
\(597\) −2.65681 + 7.00544i −0.108736 + 0.286713i
\(598\) 15.2351 35.7641i 0.623008 1.46250i
\(599\) 7.42194 + 19.5700i 0.303252 + 0.799611i 0.996855 + 0.0792524i \(0.0252533\pi\)
−0.693602 + 0.720358i \(0.743977\pi\)
\(600\) −1.86847 + 2.28846i −0.0762799 + 0.0934259i
\(601\) 5.88464 12.4016i 0.240040 0.505873i −0.747301 0.664485i \(-0.768651\pi\)
0.987341 + 0.158613i \(0.0507021\pi\)
\(602\) 9.02802 3.01400i 0.367955 0.122841i
\(603\) 5.69132 + 8.24531i 0.231769 + 0.335775i
\(604\) −13.3015 65.1551i −0.541231 2.65112i
\(605\) 0.801819 19.8969i 0.0325986 0.808925i
\(606\) 41.9424 1.70379
\(607\) 0.303048 7.52005i 0.0123003 0.305229i −0.981315 0.192408i \(-0.938370\pi\)
0.993615 0.112821i \(-0.0359887\pi\)
\(608\) 5.52752 4.15366i 0.224170 0.168453i
\(609\) −16.6787 + 2.71056i −0.675857 + 0.109837i
\(610\) 26.7047 14.0157i 1.08124 0.567480i
\(611\) 0.303594 0.115159i 0.0122821 0.00465884i
\(612\) 3.08351 + 1.61835i 0.124643 + 0.0654179i
\(613\) 15.3599 + 5.12789i 0.620381 + 0.207114i 0.609447 0.792827i \(-0.291391\pi\)
0.0109337 + 0.999940i \(0.496520\pi\)
\(614\) 16.1859 79.2840i 0.653211 3.19964i
\(615\) −1.83135 + 6.32254i −0.0738471 + 0.254950i
\(616\) 2.09495 + 17.2535i 0.0844081 + 0.695163i
\(617\) 12.9022 4.30740i 0.519424 0.173409i −0.0448547 0.998994i \(-0.514282\pi\)
0.564279 + 0.825584i \(0.309154\pi\)
\(618\) 34.6561 + 5.63216i 1.39407 + 0.226559i
\(619\) 29.4985 15.4820i 1.18565 0.622275i 0.247625 0.968856i \(-0.420350\pi\)
0.938020 + 0.346581i \(0.112657\pi\)
\(620\) 15.0403 9.51092i 0.604034 0.381968i
\(621\) 4.10764 1.75010i 0.164834 0.0702292i
\(622\) 7.58531 37.1553i 0.304143 1.48979i
\(623\) 38.0040 + 9.36714i 1.52260 + 0.375287i
\(624\) −1.74287 + 10.7284i −0.0697706 + 0.429481i
\(625\) 27.0839 6.67559i 1.08336 0.267024i
\(626\) −0.640623 15.8969i −0.0256044 0.635367i
\(627\) −0.289115 7.17432i −0.0115461 0.286515i
\(628\) 36.0145 + 44.1097i 1.43713 + 1.76017i
\(629\) −0.888514 + 2.34282i −0.0354274 + 0.0934143i
\(630\) −5.96714 12.5755i −0.237737 0.501020i
\(631\) 0.221061 0.763191i 0.00880030 0.0303822i −0.955998 0.293374i \(-0.905222\pi\)
0.964798 + 0.262992i \(0.0847091\pi\)
\(632\) −12.2675 + 17.7726i −0.487976 + 0.706955i
\(633\) 1.41026 + 0.600857i 0.0560529 + 0.0238819i
\(634\) 48.9360 7.95287i 1.94350 0.315849i
\(635\) −33.9082 21.4422i −1.34560 0.850909i
\(636\) 18.0021 + 26.0805i 0.713830 + 1.03416i
\(637\) −2.95873 + 2.84224i −0.117229 + 0.112614i
\(638\) 15.5430 22.5180i 0.615355 0.891496i
\(639\) 10.4739 4.46252i 0.414342 0.176534i
\(640\) 13.6107 + 46.9896i 0.538010 + 1.85743i
\(641\) −6.66122 + 0.537749i −0.263102 + 0.0212398i −0.211314 0.977418i \(-0.567774\pi\)
−0.0517885 + 0.998658i \(0.516492\pi\)
\(642\) 15.5584 13.7835i 0.614039 0.543991i
\(643\) −29.2094 + 18.4709i −1.15191 + 0.728422i −0.967111 0.254355i \(-0.918137\pi\)
−0.184796 + 0.982777i \(0.559162\pi\)
\(644\) −38.1005 16.2331i −1.50137 0.639674i
\(645\) 0.467177 3.84755i 0.0183951 0.151497i
\(646\) 1.94172 + 9.51118i 0.0763960 + 0.374212i
\(647\) 11.7835 + 0.951261i 0.463256 + 0.0373979i 0.309892 0.950772i \(-0.399707\pi\)
0.153364 + 0.988170i \(0.450989\pi\)
\(648\) −3.53465 + 2.65612i −0.138854 + 0.104342i
\(649\) 1.31088 10.7961i 0.0514566 0.423783i
\(650\) −4.19545 + 4.03028i −0.164559 + 0.158080i
\(651\) 0.569396 + 4.68940i 0.0223164 + 0.183792i
\(652\) 13.6391 + 14.1998i 0.534150 + 0.556109i
\(653\) 13.1548 + 22.7849i 0.514789 + 0.891640i 0.999853 + 0.0171616i \(0.00546297\pi\)
−0.485064 + 0.874479i \(0.661204\pi\)
\(654\) 11.5857 20.0671i 0.453038 0.784684i
\(655\) 33.5450 8.26810i 1.31071 0.323061i
\(656\) −5.27118 6.45603i −0.205805 0.252065i
\(657\) 7.02108 12.1609i 0.273919 0.474441i
\(658\) −0.186705 0.492300i −0.00727851 0.0191919i
\(659\) −14.1044 + 14.6843i −0.549431 + 0.572018i −0.936782 0.349914i \(-0.886211\pi\)
0.387351 + 0.921932i \(0.373390\pi\)
\(660\) 14.0462 + 4.68930i 0.546746 + 0.182531i
\(661\) 7.14500 + 24.6674i 0.277908 + 0.959450i 0.971095 + 0.238693i \(0.0767188\pi\)
−0.693187 + 0.720758i \(0.743794\pi\)
\(662\) −5.62256 + 4.98115i −0.218527 + 0.193598i
\(663\) 2.69741 + 1.86165i 0.104759 + 0.0723004i
\(664\) 19.8118 + 17.5518i 0.768848 + 0.681140i
\(665\) 10.9284 23.0312i 0.423787 0.893112i
\(666\) −4.61089 4.80045i −0.178668 0.186014i
\(667\) 13.3585 + 28.1524i 0.517243 + 1.09007i
\(668\) 25.6511 + 6.32242i 0.992469 + 0.244622i
\(669\) 11.9668 12.4588i 0.462664 0.481684i
\(670\) −46.0465 34.6017i −1.77893 1.33678i
\(671\) −6.37522 5.64795i −0.246113 0.218037i
\(672\) −3.73633 0.607213i −0.144132 0.0234238i
\(673\) −9.12789 5.77213i −0.351854 0.222499i 0.346832 0.937927i \(-0.387257\pi\)
−0.698686 + 0.715428i \(0.746232\pi\)
\(674\) 5.61418 + 0.453223i 0.216250 + 0.0174575i
\(675\) −0.668196 −0.0257189
\(676\) −13.8502 + 47.8383i −0.532701 + 1.83994i
\(677\) −25.9532 −0.997462 −0.498731 0.866757i \(-0.666200\pi\)
−0.498731 + 0.866757i \(0.666200\pi\)
\(678\) −5.73901 0.463301i −0.220405 0.0177930i
\(679\) −1.21618 0.769064i −0.0466726 0.0295140i
\(680\) −9.44467 1.53491i −0.362187 0.0588611i
\(681\) −17.7600 15.7340i −0.680566 0.602929i
\(682\) −6.11501 4.59513i −0.234156 0.175957i
\(683\) −21.0047 + 21.8682i −0.803722 + 0.836763i −0.989304 0.145866i \(-0.953403\pi\)
0.185583 + 0.982629i \(0.440583\pi\)
\(684\) −16.4501 4.05458i −0.628985 0.155031i
\(685\) 18.9072 + 39.8461i 0.722407 + 1.52244i
\(686\) 32.9587 + 34.3137i 1.25837 + 1.31010i
\(687\) −5.86675 + 12.3639i −0.223830 + 0.471713i
\(688\) 3.67332 + 3.25428i 0.140044 + 0.124068i
\(689\) 13.8621 + 26.4082i 0.528105 + 1.00607i
\(690\) −19.2135 + 17.0217i −0.731445 + 0.648004i
\(691\) 0.433786 + 1.49760i 0.0165020 + 0.0569715i 0.968347 0.249609i \(-0.0803022\pi\)
−0.951845 + 0.306581i \(0.900815\pi\)
\(692\) 66.8996 + 22.3344i 2.54314 + 0.849026i
\(693\) −2.72306 + 2.83500i −0.103440 + 0.107693i
\(694\) 7.64567 + 20.1600i 0.290226 + 0.765262i
\(695\) 22.7163 39.3458i 0.861679 1.49247i
\(696\) −19.5155 23.9021i −0.739732 0.906008i
\(697\) −2.44019 + 0.601453i −0.0924288 + 0.0227816i
\(698\) 35.5964 61.6547i 1.34734 2.33366i
\(699\) 8.75687 + 15.1673i 0.331215 + 0.573681i
\(700\) 4.29341 + 4.46992i 0.162276 + 0.168947i
\(701\) 3.00766 + 24.7703i 0.113598 + 0.935561i 0.932386 + 0.361465i \(0.117723\pi\)
−0.818788 + 0.574096i \(0.805354\pi\)
\(702\) −7.53978 + 4.35370i −0.284570 + 0.164320i
\(703\) 1.46939 12.1015i 0.0554189 0.456416i
\(704\) 12.7256 9.56264i 0.479613 0.360405i
\(705\) −0.213710 0.0172524i −0.00804878 0.000649764i
\(706\) 1.34712 + 6.59862i 0.0506994 + 0.248342i
\(707\) 5.06906 41.7475i 0.190642 1.57008i
\(708\) −23.6083 10.0585i −0.887253 0.378023i
\(709\) 38.4831 24.3353i 1.44526 0.913930i 0.445438 0.895313i \(-0.353048\pi\)
0.999827 0.0186175i \(-0.00592649\pi\)
\(710\) −48.9917 + 43.4029i −1.83863 + 1.62888i
\(711\) −4.86844 + 0.393021i −0.182581 + 0.0147394i
\(712\) 19.8862 + 68.6552i 0.745268 + 2.57296i
\(713\) 8.01422 3.41454i 0.300135 0.127875i
\(714\) 3.01900 4.37377i 0.112983 0.163684i
\(715\) 12.5916 + 5.97384i 0.470899 + 0.223409i
\(716\) −38.6389 55.9780i −1.44400 2.09200i
\(717\) −14.3447 9.07106i −0.535714 0.338765i
\(718\) 28.2161 4.58556i 1.05302 0.171132i
\(719\) −11.8153 5.03402i −0.440635 0.187737i 0.160243 0.987078i \(-0.448772\pi\)
−0.600878 + 0.799340i \(0.705182\pi\)
\(720\) 4.07701 5.90656i 0.151941 0.220125i
\(721\) 9.79445 33.8144i 0.364764 1.25931i
\(722\) −0.577738 1.21756i −0.0215012 0.0453128i
\(723\) −4.91460 + 12.9587i −0.182776 + 0.481941i
\(724\) 1.80951 + 2.21625i 0.0672501 + 0.0823664i
\(725\) −0.187776 4.65960i −0.00697381 0.173053i
\(726\) 0.813252 + 20.1806i 0.0301826 + 0.748974i
\(727\) 15.1960 3.74548i 0.563589 0.138912i 0.0527796 0.998606i \(-0.483192\pi\)
0.510809 + 0.859694i \(0.329346\pi\)
\(728\) 37.0741 + 10.7362i 1.37406 + 0.397910i
\(729\) −0.970942 0.239316i −0.0359608 0.00886354i
\(730\) −16.1478 + 79.0972i −0.597657 + 2.92752i
\(731\) 1.36140 0.580037i 0.0503531 0.0214534i
\(732\) −16.9861 + 10.7414i −0.627824 + 0.397012i
\(733\) −14.5087 + 7.61474i −0.535890 + 0.281257i −0.710880 0.703314i \(-0.751703\pi\)
0.174990 + 0.984570i \(0.444011\pi\)
\(734\) −77.4795 12.5916i −2.85982 0.464766i
\(735\) 2.56968 0.857884i 0.0947839 0.0316435i
\(736\) 0.841420 + 6.92972i 0.0310152 + 0.255433i
\(737\) −4.52553 + 15.6239i −0.166700 + 0.575515i
\(738\) 1.33543 6.54137i 0.0491579 0.240791i
\(739\) −21.9284 7.32078i −0.806649 0.269299i −0.116710 0.993166i \(-0.537235\pi\)
−0.689940 + 0.723867i \(0.742363\pi\)
\(740\) 22.2615 + 11.6837i 0.818349 + 0.429503i
\(741\) −14.9095 5.65340i −0.547716 0.207683i
\(742\) 42.8232 22.4753i 1.57209 0.825095i
\(743\) 12.1803 1.97949i 0.446851 0.0726204i 0.0671780 0.997741i \(-0.478600\pi\)
0.379673 + 0.925121i \(0.376036\pi\)
\(744\) −6.89628 + 5.18222i −0.252830 + 0.189989i
\(745\) −0.318484 + 7.90310i −0.0116684 + 0.289547i
\(746\) 26.7019 0.977626
\(747\) −0.241049 + 5.98157i −0.00881953 + 0.218854i
\(748\) 1.13092 + 5.53963i 0.0413507 + 0.202549i
\(749\) −11.8391 17.1519i −0.432591 0.626717i
\(750\) −23.6220 + 7.88618i −0.862553 + 0.287963i
\(751\) −16.0700 + 33.8669i −0.586404 + 1.23582i 0.365896 + 0.930656i \(0.380762\pi\)
−0.952300 + 0.305164i \(0.901289\pi\)
\(752\) 0.171695 0.210288i 0.00626106 0.00766840i
\(753\) −6.76328 17.8333i −0.246468 0.649882i
\(754\) −32.4790 51.3545i −1.18281 1.87022i
\(755\) −14.6545 + 38.6407i −0.533331 + 1.40628i
\(756\) 4.63776 + 8.03284i 0.168674 + 0.292152i
\(757\) 4.77741 5.85126i 0.173638 0.212668i −0.680453 0.732792i \(-0.738217\pi\)
0.854091 + 0.520124i \(0.174114\pi\)
\(758\) −6.32773 4.75498i −0.229834 0.172709i
\(759\) 6.41876 + 3.36882i 0.232986 + 0.122281i
\(760\) 46.4017 3.74593i 1.68317 0.135879i
\(761\) 10.5249 0.849654i 0.381526 0.0307999i 0.111784 0.993733i \(-0.464344\pi\)
0.269742 + 0.962933i \(0.413062\pi\)
\(762\) 36.0301 + 18.9101i 1.30523 + 0.685040i
\(763\) −18.5736 13.9572i −0.672409 0.505283i
\(764\) −2.09975 + 2.57173i −0.0759663 + 0.0930419i
\(765\) −1.08208 1.87422i −0.0391226 0.0677624i
\(766\) −28.2525 + 74.4958i −1.02081 + 2.69164i
\(767\) −20.9166 12.0745i −0.755256 0.435986i
\(768\) −10.6417 28.0598i −0.383998 1.01252i
\(769\) 12.8058 15.6843i 0.461790 0.565590i −0.490243 0.871586i \(-0.663092\pi\)
0.952033 + 0.305996i \(0.0989893\pi\)
\(770\) 9.68805 20.4171i 0.349133 0.735782i
\(771\) 10.3634 3.45980i 0.373228 0.124602i
\(772\) −31.9414 46.2751i −1.14960 1.66548i
\(773\) 5.02121 + 24.5955i 0.180600 + 0.884639i 0.964567 + 0.263837i \(0.0849880\pi\)
−0.783967 + 0.620803i \(0.786807\pi\)
\(774\) −0.158289 + 3.92789i −0.00568956 + 0.141185i
\(775\) −1.30368 −0.0468297
\(776\) 0.105806 2.62556i 0.00379823 0.0942521i
\(777\) −5.33541 + 4.00930i −0.191407 + 0.143833i
\(778\) 56.5477 9.18990i 2.02733 0.329474i
\(779\) 10.8267 5.68227i 0.387905 0.203588i
\(780\) 21.8057 24.6166i 0.780769 0.881414i
\(781\) 16.3669 + 8.59003i 0.585655 + 0.307376i
\(782\) −9.29621 3.10353i −0.332432 0.110982i
\(783\) 1.39599 6.83802i 0.0498887 0.244371i
\(784\) −0.954349 + 3.29480i −0.0340839 + 0.117671i
\(785\) −4.26564 35.1307i −0.152247 1.25387i
\(786\) −33.2382 + 11.0965i −1.18557 + 0.395800i
\(787\) 37.8297 + 6.14792i 1.34848 + 0.219150i 0.791396 0.611304i \(-0.209355\pi\)
0.557087 + 0.830454i \(0.311919\pi\)
\(788\) −6.64923 + 3.48979i −0.236869 + 0.124318i
\(789\) −2.73507 + 1.72955i −0.0973710 + 0.0615737i
\(790\) 25.8329 11.0063i 0.919092 0.391588i
\(791\) −1.15475 + 5.65635i −0.0410582 + 0.201117i
\(792\) −6.96982 1.71791i −0.247662 0.0610432i
\(793\) −17.0880 + 8.10963i −0.606812 + 0.287981i
\(794\) 41.6274 10.2602i 1.47730 0.364122i
\(795\) −0.793001 19.6781i −0.0281249 0.697911i
\(796\) 1.15575 + 28.6798i 0.0409646 + 1.01653i
\(797\) 21.9010 + 26.8239i 0.775774 + 0.950151i 0.999701 0.0244548i \(-0.00778499\pi\)
−0.223926 + 0.974606i \(0.571888\pi\)
\(798\) −9.16867 + 24.1758i −0.324567 + 0.855814i
\(799\) −0.0350934 0.0739577i −0.00124151 0.00261643i
\(800\) 0.290648 1.00343i 0.0102760 0.0354767i
\(801\) −9.18347 + 13.3046i −0.324482 + 0.470094i
\(802\) −36.0497 15.3593i −1.27296 0.542357i
\(803\) 22.5031 3.65712i 0.794118 0.129057i
\(804\) 32.4401 + 20.5139i 1.14407 + 0.723468i
\(805\) 14.6205 + 21.1814i 0.515304 + 0.746547i
\(806\) −14.7105 + 8.49430i −0.518155 + 0.299199i
\(807\) 4.72951 6.85187i 0.166487 0.241197i
\(808\) 70.6511 30.1016i 2.48550 1.05897i
\(809\) 5.63958 + 19.4701i 0.198277 + 0.684532i 0.996607 + 0.0823110i \(0.0262301\pi\)
−0.798330 + 0.602221i \(0.794283\pi\)
\(810\) 5.73038 0.462604i 0.201345 0.0162542i
\(811\) 15.3984 13.6418i 0.540711 0.479028i −0.348001 0.937494i \(-0.613139\pi\)
0.888712 + 0.458466i \(0.151601\pi\)
\(812\) −54.7130 + 34.5984i −1.92005 + 1.21417i
\(813\) −20.5588 8.75931i −0.721030 0.307202i
\(814\) 1.30261 10.7279i 0.0456564 0.376014i
\(815\) −2.44750 11.9887i −0.0857322 0.419944i
\(816\) 2.73135 + 0.220497i 0.0956163 + 0.00771894i
\(817\) −5.75560 + 4.32506i −0.201363 + 0.151315i
\(818\) −5.28170 + 43.4987i −0.184670 + 1.52090i
\(819\) 3.42223 + 8.03092i 0.119583 + 0.280623i
\(820\) 3.03961 + 25.0334i 0.106148 + 0.874205i
\(821\) 26.9869 + 28.0964i 0.941851 + 0.980570i 0.999843 0.0177466i \(-0.00564921\pi\)
−0.0579918 + 0.998317i \(0.518470\pi\)
\(822\) −22.3666 38.7401i −0.780125 1.35122i
\(823\) 20.0902 34.7972i 0.700300 1.21295i −0.268061 0.963402i \(-0.586383\pi\)
0.968361 0.249553i \(-0.0802837\pi\)
\(824\) 62.4196 15.3851i 2.17449 0.535964i
\(825\) −0.686114 0.840337i −0.0238874 0.0292568i
\(826\) −19.5813 + 33.9159i −0.681322 + 1.18008i
\(827\) 16.5908 + 43.7465i 0.576920 + 1.52121i 0.832273 + 0.554366i \(0.187039\pi\)
−0.255353 + 0.966848i \(0.582192\pi\)
\(828\) 11.8491 12.3363i 0.411786 0.428714i
\(829\) −34.4553 11.5029i −1.19668 0.399511i −0.352625 0.935765i \(-0.614711\pi\)
−0.844057 + 0.536254i \(0.819839\pi\)
\(830\) −9.57516 33.0573i −0.332359 1.14744i
\(831\) 2.32107 2.05629i 0.0805169 0.0713318i
\(832\) −8.46194 34.3224i −0.293365 1.18992i
\(833\) 0.774223 + 0.685902i 0.0268252 + 0.0237651i
\(834\) −19.7544 + 41.6314i −0.684037 + 1.44158i
\(835\) −11.3732 11.8408i −0.393586 0.409767i
\(836\) −11.7921 24.8513i −0.407838 0.859500i
\(837\) −1.89436 0.466917i −0.0654786 0.0161390i
\(838\) −18.6747 + 19.4424i −0.645107 + 0.671628i
\(839\) −1.41192 1.06099i −0.0487448 0.0366293i 0.576091 0.817386i \(-0.304578\pi\)
−0.624835 + 0.780757i \(0.714834\pi\)
\(840\) −19.0768 16.9006i −0.658213 0.583126i
\(841\) 19.4522 + 3.16129i 0.670765 + 0.109010i
\(842\) −21.8848 13.8391i −0.754202 0.476928i
\(843\) 24.8349 + 2.00488i 0.855360 + 0.0690518i
\(844\) 5.87264 0.202145
\(845\) 23.1642 20.5267i 0.796872 0.706140i
\(846\) 0.217462 0.00747651
\(847\) 20.1852 + 1.62951i 0.693570 + 0.0559908i
\(848\) 21.0760 + 13.3277i 0.723754 + 0.457674i
\(849\) 10.4374 + 1.69625i 0.358211 + 0.0582150i
\(850\) 1.09784 + 0.972603i 0.0376557 + 0.0333600i
\(851\) 9.83909 + 7.39360i 0.337280 + 0.253449i
\(852\) 30.2136 31.4557i 1.03510 1.07766i
\(853\) −35.6796 8.79423i −1.22165 0.301109i −0.424798 0.905288i \(-0.639655\pi\)
−0.796848 + 0.604179i \(0.793501\pi\)
\(854\) 13.1484 + 27.7096i 0.449928 + 0.948202i
\(855\) 7.29367 + 7.59352i 0.249438 + 0.259693i
\(856\) 16.3154 34.3841i 0.557651 1.17522i
\(857\) 39.0154 + 34.5646i 1.33274 + 1.18071i 0.968389 + 0.249444i \(0.0802479\pi\)
0.364352 + 0.931261i \(0.381291\pi\)
\(858\) −13.2173 5.01173i −0.451230 0.171098i
\(859\) 11.0380 9.77880i 0.376611 0.333648i −0.453490 0.891261i \(-0.649821\pi\)
0.830101 + 0.557613i \(0.188283\pi\)
\(860\) −4.13103 14.2620i −0.140867 0.486330i
\(861\) −6.34958 2.11980i −0.216393 0.0722426i
\(862\) 39.9564 41.5990i 1.36092 1.41687i
\(863\) 5.97337 + 15.7505i 0.203336 + 0.536152i 0.997430 0.0716418i \(-0.0228238\pi\)
−0.794095 + 0.607794i \(0.792055\pi\)
\(864\) 0.781717 1.35397i 0.0265945 0.0460631i
\(865\) −27.7207 33.9516i −0.942530 1.15439i
\(866\) −55.5381 + 13.6889i −1.88726 + 0.465168i
\(867\) −8.08685 + 14.0068i −0.274644 + 0.475697i
\(868\) 9.04851 + 15.6725i 0.307127 + 0.531959i
\(869\) −5.49326 5.71909i −0.186346 0.194007i
\(870\) 4.83627 + 39.8303i 0.163965 + 1.35037i
\(871\) 27.9827 + 22.8443i 0.948156 + 0.774050i
\(872\) 5.11399 42.1175i 0.173182 1.42628i
\(873\) 0.475120 0.357029i 0.0160804 0.0120836i
\(874\) 47.5268 + 3.83676i 1.60762 + 0.129780i
\(875\) 4.99464 + 24.4653i 0.168850 + 0.827080i
\(876\) 6.48433 53.4033i 0.219085 1.80433i
\(877\) −47.0543 20.0479i −1.58891 0.676971i −0.596805 0.802386i \(-0.703563\pi\)
−0.992104 + 0.125415i \(0.959974\pi\)
\(878\) −39.7853 + 25.1587i −1.34269 + 0.849066i
\(879\) −22.8787 + 20.2687i −0.771678 + 0.683647i
\(880\) 11.6146 0.937624i 0.391527 0.0316073i
\(881\) 4.21813 + 14.5627i 0.142112 + 0.490628i 0.999720 0.0236764i \(-0.00753715\pi\)
−0.857607 + 0.514305i \(0.828050\pi\)
\(882\) −2.52785 + 1.07702i −0.0851171 + 0.0362650i
\(883\) −2.62215 + 3.79884i −0.0882424 + 0.127841i −0.864619 0.502428i \(-0.832440\pi\)
0.776377 + 0.630269i \(0.217056\pi\)
\(884\) 12.3024 + 2.51076i 0.413773 + 0.0844461i
\(885\) 9.05930 + 13.1247i 0.304525 + 0.441181i
\(886\) −51.8655 32.7978i −1.74246 1.10186i
\(887\) 48.6647 7.90879i 1.63400 0.265551i 0.726987 0.686651i \(-0.240920\pi\)
0.907014 + 0.421100i \(0.138356\pi\)
\(888\) −11.2122 4.77707i −0.376256 0.160308i
\(889\) 23.1767 33.5773i 0.777322 1.12615i
\(890\) 25.8576 89.2706i 0.866747 2.99236i
\(891\) −0.696010 1.46681i −0.0233172 0.0491400i
\(892\) 23.4679 61.8798i 0.785764 2.07189i
\(893\) 0.251883 + 0.308501i 0.00842895 + 0.0103236i
\(894\) −0.323025 8.01579i −0.0108036 0.268088i
\(895\) 1.70206 + 42.2362i 0.0568936 + 1.41180i
\(896\) −48.3052 + 11.9062i −1.61376 + 0.397757i
\(897\) 12.4694 10.1822i 0.416340 0.339974i
\(898\) 22.7154 + 5.59885i 0.758023 + 0.186836i
\(899\) 2.72365 13.3413i 0.0908389 0.444958i
\(900\) −2.35502 + 1.00338i −0.0785005 + 0.0334459i
\(901\) 6.35527 4.01883i 0.211725 0.133887i
\(902\) 9.59781 5.03732i 0.319572 0.167724i
\(903\) 3.89051 + 0.632269i 0.129468 + 0.0210406i
\(904\) −9.99974 + 3.33841i −0.332587 + 0.111034i
\(905\) −0.214323 1.76511i −0.00712434 0.0586742i
\(906\) 11.6616 40.2606i 0.387432 1.33757i
\(907\) 2.01965 9.89289i 0.0670613 0.328488i −0.932396 0.361439i \(-0.882285\pi\)
0.999457 + 0.0329513i \(0.0104906\pi\)
\(908\) −86.2207 28.7847i −2.86134 0.955254i
\(909\) 15.3797 + 8.07191i 0.510114 + 0.267728i
\(910\) −33.2825 37.5636i −1.10330 1.24522i
\(911\) 36.9460 19.3908i 1.22408 0.642445i 0.276205 0.961099i \(-0.410923\pi\)
0.947871 + 0.318654i \(0.103231\pi\)
\(912\) −13.1590 + 2.13855i −0.435739 + 0.0708144i
\(913\) −7.77007 + 5.83883i −0.257152 + 0.193237i
\(914\) 3.27138 81.1785i 0.108208 2.68514i
\(915\) 12.4896 0.412895
\(916\) −2.11106 + 52.3855i −0.0697515 + 1.73087i
\(917\) 7.02788 + 34.4249i 0.232081 + 1.13681i
\(918\) 1.24691 + 1.80646i 0.0411542 + 0.0596222i
\(919\) −2.20553 + 0.736316i −0.0727539 + 0.0242888i −0.352812 0.935694i \(-0.614774\pi\)
0.280058 + 0.959983i \(0.409646\pi\)
\(920\) −20.1484 + 42.4619i −0.664274 + 1.39993i
\(921\) 21.1936 25.9574i 0.698351 0.855325i
\(922\) 25.2747 + 66.6439i 0.832377 + 2.19480i
\(923\) 31.7952 25.9632i 1.04655 0.854589i
\(924\) −5.34014 + 14.0808i −0.175678 + 0.463224i
\(925\) −0.920931 1.59510i −0.0302800 0.0524465i
\(926\) −57.8582 + 70.8634i −1.90134 + 2.32872i
\(927\) 11.6240 + 8.73488i 0.381783 + 0.286891i
\(928\) 9.66148 + 5.07074i 0.317154 + 0.166455i
\(929\) 5.65726 0.456701i 0.185609 0.0149839i 0.0126872 0.999920i \(-0.495961\pi\)
0.172921 + 0.984936i \(0.444679\pi\)
\(930\) 11.1803 0.902564i 0.366615 0.0295962i
\(931\) −4.45587 2.33862i −0.146035 0.0766451i
\(932\) 53.6386 + 40.3068i 1.75699 + 1.32029i
\(933\) 9.93206 12.1646i 0.325161 0.398250i
\(934\) −26.9745 46.7212i −0.882633 1.52877i
\(935\) 1.24596 3.28532i 0.0407472 0.107441i
\(936\) −9.57599 + 12.7449i −0.313001 + 0.416581i
\(937\) 16.7394 + 44.1383i 0.546853 + 1.44193i 0.868794 + 0.495174i \(0.164896\pi\)
−0.321940 + 0.946760i \(0.604335\pi\)
\(938\) 37.0456 45.3726i 1.20958 1.48147i
\(939\) 2.82448 5.95247i 0.0921735 0.194252i
\(940\) −0.779114 + 0.260106i −0.0254119 + 0.00848373i
\(941\) −20.0868 29.1007i −0.654810 0.948657i −0.999949 0.0101048i \(-0.996783\pi\)
0.345139 0.938552i \(-0.387832\pi\)
\(942\) 7.17959 + 35.1679i 0.233924 + 1.14583i
\(943\) −0.497068 + 12.3346i −0.0161868 + 0.401671i
\(944\) −20.1927 −0.657218
\(945\) 0.232106 5.75966i 0.00755042 0.187362i
\(946\) −5.10233 + 3.83415i −0.165891 + 0.124659i
\(947\) −11.6256 + 1.88934i −0.377781 + 0.0613953i −0.346337 0.938110i \(-0.612575\pi\)
−0.0314437 + 0.999506i \(0.510010\pi\)
\(948\) −16.5683 + 8.69574i −0.538115 + 0.282424i
\(949\) 12.1135 49.1593i 0.393221 1.59578i
\(950\) −6.31838 3.31614i −0.204995 0.107590i
\(951\) 19.4747 + 6.50162i 0.631511 + 0.210829i
\(952\) 1.94643 9.53422i 0.0630840 0.309006i
\(953\) −13.1924 + 45.5453i −0.427343 + 1.47536i 0.401491 + 0.915863i \(0.368492\pi\)
−0.828834 + 0.559495i \(0.810995\pi\)
\(954\) 2.40771 + 19.8293i 0.0779525 + 0.641996i
\(955\) 1.95708 0.653371i 0.0633298 0.0211426i
\(956\) −64.1785 10.4300i −2.07568 0.337331i
\(957\) 10.0331 5.26576i 0.324323 0.170218i
\(958\) −63.2432 + 39.9926i −2.04329 + 1.29210i
\(959\) −41.2633 + 17.5806i −1.33246 + 0.567709i
\(960\) −4.66905 + 22.8705i −0.150693 + 0.738142i
\(961\) 26.4032 + 6.50781i 0.851716 + 0.209929i
\(962\) −20.7846 11.9983i −0.670123 0.386841i
\(963\) 8.35771 2.05999i 0.269324 0.0663823i
\(964\) 2.13793 + 53.0522i 0.0688581 + 1.70870i
\(965\) 1.40703 + 34.9152i 0.0452941 + 1.12396i
\(966\) −16.5096 20.2205i −0.531186 0.650585i
\(967\) −8.03325 + 21.1819i −0.258332 + 0.681165i 0.741615 + 0.670826i \(0.234060\pi\)
−0.999947 + 0.0103390i \(0.996709\pi\)
\(968\) 15.8533 + 33.4102i 0.509546 + 1.07384i
\(969\) −1.11844 + 3.86132i −0.0359296 + 0.124043i
\(970\) −1.94092 + 2.81191i −0.0623191 + 0.0902849i
\(971\) 31.0640 + 13.2351i 0.996892 + 0.424736i 0.827896 0.560881i \(-0.189538\pi\)
0.168995 + 0.985617i \(0.445948\pi\)
\(972\) −3.78139 + 0.614535i −0.121288 + 0.0197112i
\(973\) 39.0505 + 24.6940i 1.25190 + 0.791655i
\(974\) −24.4501 35.4221i −0.783431 1.13500i
\(975\) −2.31405 + 0.670427i −0.0741090 + 0.0214708i
\(976\) −8.98352 + 13.0149i −0.287555 + 0.416596i
\(977\) −3.28534 + 1.39975i −0.105107 + 0.0447821i −0.443880 0.896086i \(-0.646398\pi\)
0.338773 + 0.940868i \(0.389988\pi\)
\(978\) 3.45279 + 11.9204i 0.110408 + 0.381173i
\(979\) −26.1618 + 2.11200i −0.836136 + 0.0674999i
\(980\) 7.76844 6.88224i 0.248154 0.219845i
\(981\) 8.11029 5.12863i 0.258942 0.163745i
\(982\) 29.8748 + 12.7284i 0.953342 + 0.406181i
\(983\) 0.673757 5.54888i 0.0214895 0.176982i −0.978012 0.208548i \(-0.933126\pi\)
0.999502 + 0.0315659i \(0.0100494\pi\)
\(984\) −2.44517 11.9772i −0.0779491 0.381820i
\(985\) 4.65162 + 0.375518i 0.148213 + 0.0119650i
\(986\) −12.2468 + 9.20287i −0.390017 + 0.293079i
\(987\) 0.0262820 0.216452i 0.000836566 0.00688974i
\(988\) −61.0370 + 2.46343i −1.94185 + 0.0783722i
\(989\) −0.876140 7.21567i −0.0278596 0.229445i
\(990\) 6.46582 + 6.73164i 0.205497 + 0.213945i
\(991\) −9.69412 16.7907i −0.307944 0.533374i 0.669969 0.742389i \(-0.266308\pi\)
−0.977912 + 0.209015i \(0.932974\pi\)
\(992\) 1.52517 2.64167i 0.0484242 0.0838731i
\(993\) −3.02035 + 0.744450i −0.0958480 + 0.0236244i
\(994\) −42.0971 51.5596i −1.33524 1.63537i
\(995\) 8.91884 15.4479i 0.282746 0.489731i
\(996\) 8.13250 + 21.4436i 0.257688 + 0.679468i
\(997\) 24.4165 25.4202i 0.773277 0.805067i −0.211776 0.977318i \(-0.567925\pi\)
0.985053 + 0.172251i \(0.0551041\pi\)
\(998\) −43.6061 14.5579i −1.38033 0.460821i
\(999\) −0.766898 2.64764i −0.0242636 0.0837676i
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 507.2.q.a.16.14 360
169.74 even 39 inner 507.2.q.a.412.14 yes 360
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
507.2.q.a.16.14 360 1.1 even 1 trivial
507.2.q.a.412.14 yes 360 169.74 even 39 inner