Properties

Label 430.2.k.a.11.2
Level $430$
Weight $2$
Character 430.11
Analytic conductor $3.434$
Analytic rank $0$
Dimension $12$
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] = [430,2,Mod(11,430)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(430, base_ring=CyclotomicField(14))
 
chi = DirichletCharacter(H, H._module([0, 10]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("430.11");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 430 = 2 \cdot 5 \cdot 43 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 430.k (of order \(7\), degree \(6\), 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: \(3.43356728692\)
Analytic rank: \(0\)
Dimension: \(12\)
Relative dimension: \(2\) over \(\Q(\zeta_{7})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{12} - \cdots)\)
comment: defining polynomial
 
gp: f.mod \\ as an extension of the character field
 
Defining polynomial: \( x^{12} - 3 x^{11} + 6 x^{10} - 16 x^{9} + 44 x^{8} - 70 x^{7} + 141 x^{6} - 182 x^{5} + 270 x^{4} - 124 x^{3} + 115 x^{2} + 20 x + 1 \) Copy content Toggle raw display
Coefficient ring: \(\Z[a_1, a_2, a_3]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label 11.2
Root \(-0.380695 - 1.66794i\) of defining polynomial
Character \(\chi\) \(=\) 430.11
Dual form 430.2.k.a.391.2

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.623490 + 0.781831i) q^{2} +(-0.0568052 + 0.0712315i) q^{3} +(-0.222521 + 0.974928i) q^{4} +(-0.900969 + 0.433884i) q^{5} -0.0911085 q^{6} +0.481895 q^{7} +(-0.900969 + 0.433884i) q^{8} +(0.665716 + 2.91669i) q^{9} +O(q^{10})\) \(q+(0.623490 + 0.781831i) q^{2} +(-0.0568052 + 0.0712315i) q^{3} +(-0.222521 + 0.974928i) q^{4} +(-0.900969 + 0.433884i) q^{5} -0.0911085 q^{6} +0.481895 q^{7} +(-0.900969 + 0.433884i) q^{8} +(0.665716 + 2.91669i) q^{9} +(-0.900969 - 0.433884i) q^{10} +(0.483742 + 2.11941i) q^{11} +(-0.0568052 - 0.0712315i) q^{12} +(-1.12349 + 0.541044i) q^{13} +(0.300456 + 0.376761i) q^{14} +(0.0202736 - 0.0888242i) q^{15} +(-0.900969 - 0.433884i) q^{16} +(-0.238779 - 0.114990i) q^{17} +(-1.86529 + 2.33900i) q^{18} +(-0.805464 + 3.52897i) q^{19} +(-0.222521 - 0.974928i) q^{20} +(-0.0273741 + 0.0343261i) q^{21} +(-1.35541 + 1.69964i) q^{22} +(0.757865 + 3.32042i) q^{23} +(0.0202736 - 0.0888242i) q^{24} +(0.623490 - 0.781831i) q^{25} +(-1.12349 - 0.541044i) q^{26} +(-0.491834 - 0.236855i) q^{27} +(-0.107232 + 0.469813i) q^{28} +(2.06313 + 2.58708i) q^{29} +(0.0820859 - 0.0395305i) q^{30} +(-2.83249 - 3.55183i) q^{31} +(-0.222521 - 0.974928i) q^{32} +(-0.178448 - 0.0859360i) q^{33} +(-0.0589736 - 0.258380i) q^{34} +(-0.434172 + 0.209086i) q^{35} -2.99170 q^{36} +6.79199 q^{37} +(-3.26126 + 1.57054i) q^{38} +(0.0252807 - 0.110762i) q^{39} +(0.623490 - 0.781831i) q^{40} +(-0.298016 - 0.373701i) q^{41} -0.0439047 q^{42} +(-0.947167 - 6.48867i) q^{43} -2.17392 q^{44} +(-1.86529 - 2.33900i) q^{45} +(-2.12349 + 2.66277i) q^{46} +(2.07192 - 9.07769i) q^{47} +(0.0820859 - 0.0395305i) q^{48} -6.76778 q^{49} +1.00000 q^{50} +(0.0217548 - 0.0104766i) q^{51} +(-0.277479 - 1.21572i) q^{52} +(11.3781 + 5.47942i) q^{53} +(-0.121473 - 0.532208i) q^{54} +(-1.35541 - 1.69964i) q^{55} +(-0.434172 + 0.209086i) q^{56} +(-0.205619 - 0.257838i) q^{57} +(-0.736322 + 3.22604i) q^{58} +(6.47294 + 3.11720i) q^{59} +(0.0820859 + 0.0395305i) q^{60} +(3.28029 - 4.11336i) q^{61} +(1.01090 - 4.42906i) q^{62} +(0.320805 + 1.40554i) q^{63} +(0.623490 - 0.781831i) q^{64} +(0.777479 - 0.974928i) q^{65} +(-0.0440730 - 0.193096i) q^{66} +(1.47735 - 6.47268i) q^{67} +(0.165240 - 0.207205i) q^{68} +(-0.279569 - 0.134633i) q^{69} +(-0.434172 - 0.209086i) q^{70} +(1.16523 - 5.10519i) q^{71} +(-1.86529 - 2.33900i) q^{72} +(-0.919736 + 0.442921i) q^{73} +(4.23474 + 5.31019i) q^{74} +(0.0202736 + 0.0888242i) q^{75} +(-3.26126 - 1.57054i) q^{76} +(0.233113 + 1.02133i) q^{77} +(0.102359 - 0.0492937i) q^{78} +7.50816 q^{79} +1.00000 q^{80} +(-8.04147 + 3.87257i) q^{81} +(0.106361 - 0.465997i) q^{82} +(3.90063 - 4.89123i) q^{83} +(-0.0273741 - 0.0343261i) q^{84} +0.265025 q^{85} +(4.48250 - 4.78615i) q^{86} -0.301478 q^{87} +(-1.35541 - 1.69964i) q^{88} +(-9.36256 + 11.7403i) q^{89} +(0.665716 - 2.91669i) q^{90} +(-0.541404 + 0.260726i) q^{91} -3.40581 q^{92} +0.413903 q^{93} +(8.38904 - 4.03995i) q^{94} +(-0.805464 - 3.52897i) q^{95} +(0.0820859 + 0.0395305i) q^{96} +(-0.935545 - 4.09889i) q^{97} +(-4.21964 - 5.29126i) q^{98} +(-5.85963 + 2.82185i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 12 q - 2 q^{2} - q^{3} - 2 q^{4} - 2 q^{5} - 8 q^{6} + 4 q^{7} - 2 q^{8} + 7 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 12 q - 2 q^{2} - q^{3} - 2 q^{4} - 2 q^{5} - 8 q^{6} + 4 q^{7} - 2 q^{8} + 7 q^{9} - 2 q^{10} + 3 q^{11} - q^{12} - 4 q^{13} - 10 q^{14} - q^{15} - 2 q^{16} - 5 q^{17} - 2 q^{19} - 2 q^{20} + 22 q^{21} - 4 q^{22} - 16 q^{23} - q^{24} - 2 q^{25} - 4 q^{26} + 8 q^{27} + 11 q^{28} + 2 q^{29} + 6 q^{30} + 27 q^{31} - 2 q^{32} + 6 q^{33} + 2 q^{34} - 3 q^{35} - 18 q^{37} - 2 q^{38} + 5 q^{39} - 2 q^{40} + 14 q^{41} - 20 q^{42} + 14 q^{43} - 4 q^{44} - 16 q^{46} + 2 q^{47} + 6 q^{48} - 12 q^{49} + 12 q^{50} - 5 q^{51} - 4 q^{52} + 2 q^{53} - 6 q^{54} - 4 q^{55} - 3 q^{56} - 19 q^{57} + 2 q^{58} + 4 q^{59} + 6 q^{60} + 16 q^{61} - 22 q^{62} + 13 q^{63} - 2 q^{64} + 10 q^{65} - 8 q^{66} + 9 q^{67} + 9 q^{68} - 15 q^{69} - 3 q^{70} + 27 q^{71} + 28 q^{73} + 24 q^{74} - q^{75} - 2 q^{76} + 26 q^{77} + 5 q^{78} + 10 q^{79} + 12 q^{80} - 12 q^{81} + 7 q^{82} - 31 q^{83} + 22 q^{84} - 12 q^{85} - 28 q^{86} - 6 q^{87} - 4 q^{88} - 38 q^{89} + 7 q^{90} + 8 q^{91} + 12 q^{92} - 2 q^{93} - 12 q^{94} - 2 q^{95} + 6 q^{96} - 15 q^{97} - 19 q^{98} - 6 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/430\mathbb{Z}\right)^\times\).

\(n\) \(87\) \(261\)
\(\chi(n)\) \(1\) \(e\left(\frac{5}{7}\right)\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.623490 + 0.781831i 0.440874 + 0.552838i
\(3\) −0.0568052 + 0.0712315i −0.0327965 + 0.0411255i −0.797959 0.602711i \(-0.794087\pi\)
0.765163 + 0.643837i \(0.222658\pi\)
\(4\) −0.222521 + 0.974928i −0.111260 + 0.487464i
\(5\) −0.900969 + 0.433884i −0.402926 + 0.194039i
\(6\) −0.0911085 −0.0371949
\(7\) 0.481895 0.182139 0.0910696 0.995845i \(-0.470971\pi\)
0.0910696 + 0.995845i \(0.470971\pi\)
\(8\) −0.900969 + 0.433884i −0.318541 + 0.153401i
\(9\) 0.665716 + 2.91669i 0.221905 + 0.972230i
\(10\) −0.900969 0.433884i −0.284911 0.137206i
\(11\) 0.483742 + 2.11941i 0.145854 + 0.639027i 0.994011 + 0.109282i \(0.0348551\pi\)
−0.848157 + 0.529745i \(0.822288\pi\)
\(12\) −0.0568052 0.0712315i −0.0163983 0.0205628i
\(13\) −1.12349 + 0.541044i −0.311600 + 0.150059i −0.583147 0.812366i \(-0.698179\pi\)
0.271547 + 0.962425i \(0.412465\pi\)
\(14\) 0.300456 + 0.376761i 0.0803004 + 0.100693i
\(15\) 0.0202736 0.0888242i 0.00523461 0.0229343i
\(16\) −0.900969 0.433884i −0.225242 0.108471i
\(17\) −0.238779 0.114990i −0.0579124 0.0278892i 0.404703 0.914448i \(-0.367375\pi\)
−0.462616 + 0.886559i \(0.653089\pi\)
\(18\) −1.86529 + 2.33900i −0.439654 + 0.551309i
\(19\) −0.805464 + 3.52897i −0.184786 + 0.809601i 0.794524 + 0.607233i \(0.207721\pi\)
−0.979310 + 0.202367i \(0.935137\pi\)
\(20\) −0.222521 0.974928i −0.0497572 0.218001i
\(21\) −0.0273741 + 0.0343261i −0.00597353 + 0.00749057i
\(22\) −1.35541 + 1.69964i −0.288975 + 0.362364i
\(23\) 0.757865 + 3.32042i 0.158026 + 0.692356i 0.990410 + 0.138157i \(0.0441180\pi\)
−0.832385 + 0.554198i \(0.813025\pi\)
\(24\) 0.0202736 0.0888242i 0.00413832 0.0181312i
\(25\) 0.623490 0.781831i 0.124698 0.156366i
\(26\) −1.12349 0.541044i −0.220334 0.106107i
\(27\) −0.491834 0.236855i −0.0946535 0.0455827i
\(28\) −0.107232 + 0.469813i −0.0202649 + 0.0887862i
\(29\) 2.06313 + 2.58708i 0.383113 + 0.480409i 0.935574 0.353130i \(-0.114883\pi\)
−0.552461 + 0.833539i \(0.686311\pi\)
\(30\) 0.0820859 0.0395305i 0.0149868 0.00721725i
\(31\) −2.83249 3.55183i −0.508730 0.637928i 0.459443 0.888207i \(-0.348049\pi\)
−0.968174 + 0.250279i \(0.919478\pi\)
\(32\) −0.222521 0.974928i −0.0393365 0.172345i
\(33\) −0.178448 0.0859360i −0.0310638 0.0149595i
\(34\) −0.0589736 0.258380i −0.0101139 0.0443118i
\(35\) −0.434172 + 0.209086i −0.0733885 + 0.0353420i
\(36\) −2.99170 −0.498617
\(37\) 6.79199 1.11660 0.558298 0.829640i \(-0.311454\pi\)
0.558298 + 0.829640i \(0.311454\pi\)
\(38\) −3.26126 + 1.57054i −0.529046 + 0.254775i
\(39\) 0.0252807 0.110762i 0.00404815 0.0177361i
\(40\) 0.623490 0.781831i 0.0985824 0.123618i
\(41\) −0.298016 0.373701i −0.0465424 0.0583623i 0.758016 0.652236i \(-0.226169\pi\)
−0.804558 + 0.593874i \(0.797598\pi\)
\(42\) −0.0439047 −0.00677464
\(43\) −0.947167 6.48867i −0.144442 0.989513i
\(44\) −2.17392 −0.327730
\(45\) −1.86529 2.33900i −0.278062 0.348678i
\(46\) −2.12349 + 2.66277i −0.313091 + 0.392604i
\(47\) 2.07192 9.07769i 0.302221 1.32412i −0.564545 0.825402i \(-0.690948\pi\)
0.866766 0.498715i \(-0.166194\pi\)
\(48\) 0.0820859 0.0395305i 0.0118481 0.00570574i
\(49\) −6.76778 −0.966825
\(50\) 1.00000 0.141421
\(51\) 0.0217548 0.0104766i 0.00304628 0.00146701i
\(52\) −0.277479 1.21572i −0.0384794 0.168589i
\(53\) 11.3781 + 5.47942i 1.56291 + 0.752656i 0.997398 0.0720867i \(-0.0229658\pi\)
0.565508 + 0.824743i \(0.308680\pi\)
\(54\) −0.121473 0.532208i −0.0165304 0.0724243i
\(55\) −1.35541 1.69964i −0.182764 0.229179i
\(56\) −0.434172 + 0.209086i −0.0580187 + 0.0279403i
\(57\) −0.205619 0.257838i −0.0272349 0.0341515i
\(58\) −0.736322 + 3.22604i −0.0966838 + 0.423599i
\(59\) 6.47294 + 3.11720i 0.842705 + 0.405825i 0.804865 0.593458i \(-0.202238\pi\)
0.0378405 + 0.999284i \(0.487952\pi\)
\(60\) 0.0820859 + 0.0395305i 0.0105972 + 0.00510337i
\(61\) 3.28029 4.11336i 0.419998 0.526661i −0.526151 0.850391i \(-0.676365\pi\)
0.946150 + 0.323730i \(0.104937\pi\)
\(62\) 1.01090 4.42906i 0.128385 0.562491i
\(63\) 0.320805 + 1.40554i 0.0404176 + 0.177081i
\(64\) 0.623490 0.781831i 0.0779362 0.0977289i
\(65\) 0.777479 0.974928i 0.0964344 0.120925i
\(66\) −0.0440730 0.193096i −0.00542501 0.0237685i
\(67\) 1.47735 6.47268i 0.180487 0.790764i −0.800912 0.598782i \(-0.795651\pi\)
0.981399 0.191982i \(-0.0614914\pi\)
\(68\) 0.165240 0.207205i 0.0200383 0.0251273i
\(69\) −0.279569 0.134633i −0.0336562 0.0162080i
\(70\) −0.434172 0.209086i −0.0518935 0.0249906i
\(71\) 1.16523 5.10519i 0.138287 0.605875i −0.857524 0.514443i \(-0.827999\pi\)
0.995811 0.0914314i \(-0.0291442\pi\)
\(72\) −1.86529 2.33900i −0.219827 0.275654i
\(73\) −0.919736 + 0.442921i −0.107647 + 0.0518400i −0.486932 0.873440i \(-0.661884\pi\)
0.379285 + 0.925280i \(0.376170\pi\)
\(74\) 4.23474 + 5.31019i 0.492278 + 0.617298i
\(75\) 0.0202736 + 0.0888242i 0.00234099 + 0.0102565i
\(76\) −3.26126 1.57054i −0.374092 0.180153i
\(77\) 0.233113 + 1.02133i 0.0265657 + 0.116392i
\(78\) 0.102359 0.0492937i 0.0115899 0.00558142i
\(79\) 7.50816 0.844734 0.422367 0.906425i \(-0.361199\pi\)
0.422367 + 0.906425i \(0.361199\pi\)
\(80\) 1.00000 0.111803
\(81\) −8.04147 + 3.87257i −0.893497 + 0.430285i
\(82\) 0.106361 0.465997i 0.0117456 0.0514608i
\(83\) 3.90063 4.89123i 0.428149 0.536882i −0.520228 0.854028i \(-0.674153\pi\)
0.948377 + 0.317145i \(0.102724\pi\)
\(84\) −0.0273741 0.0343261i −0.00298676 0.00374528i
\(85\) 0.265025 0.0287460
\(86\) 4.48250 4.78615i 0.483360 0.516103i
\(87\) −0.301478 −0.0323218
\(88\) −1.35541 1.69964i −0.144488 0.181182i
\(89\) −9.36256 + 11.7403i −0.992430 + 1.24447i −0.0228381 + 0.999739i \(0.507270\pi\)
−0.969592 + 0.244728i \(0.921301\pi\)
\(90\) 0.665716 2.91669i 0.0701726 0.307446i
\(91\) −0.541404 + 0.260726i −0.0567545 + 0.0273315i
\(92\) −3.40581 −0.355081
\(93\) 0.413903 0.0429197
\(94\) 8.38904 4.03995i 0.865264 0.416689i
\(95\) −0.805464 3.52897i −0.0826388 0.362064i
\(96\) 0.0820859 + 0.0395305i 0.00837786 + 0.00403456i
\(97\) −0.935545 4.09889i −0.0949902 0.416179i 0.904966 0.425483i \(-0.139896\pi\)
−0.999957 + 0.00930346i \(0.997039\pi\)
\(98\) −4.21964 5.29126i −0.426248 0.534498i
\(99\) −5.85963 + 2.82185i −0.588915 + 0.283607i
\(100\) 0.623490 + 0.781831i 0.0623490 + 0.0781831i
\(101\) 1.19758 5.24694i 0.119164 0.522090i −0.879748 0.475441i \(-0.842289\pi\)
0.998911 0.0466491i \(-0.0148543\pi\)
\(102\) 0.0217548 + 0.0104766i 0.00215405 + 0.00103733i
\(103\) 1.96220 + 0.944947i 0.193342 + 0.0931084i 0.528050 0.849213i \(-0.322923\pi\)
−0.334708 + 0.942322i \(0.608638\pi\)
\(104\) 0.777479 0.974928i 0.0762381 0.0955995i
\(105\) 0.00976972 0.0428039i 0.000953427 0.00417724i
\(106\) 2.81017 + 12.3121i 0.272947 + 1.19586i
\(107\) 6.65790 8.34874i 0.643644 0.807104i −0.347810 0.937565i \(-0.613074\pi\)
0.991453 + 0.130462i \(0.0416459\pi\)
\(108\) 0.340360 0.426798i 0.0327511 0.0410686i
\(109\) 0.768463 + 3.36686i 0.0736054 + 0.322487i 0.998304 0.0582132i \(-0.0185403\pi\)
−0.924699 + 0.380700i \(0.875683\pi\)
\(110\) 0.483742 2.11941i 0.0461230 0.202078i
\(111\) −0.385821 + 0.483804i −0.0366205 + 0.0459206i
\(112\) −0.434172 0.209086i −0.0410254 0.0197568i
\(113\) 4.40321 + 2.12047i 0.414219 + 0.199477i 0.629374 0.777103i \(-0.283311\pi\)
−0.215155 + 0.976580i \(0.569026\pi\)
\(114\) 0.0733846 0.321519i 0.00687310 0.0301130i
\(115\) −2.12349 2.66277i −0.198016 0.248305i
\(116\) −2.98131 + 1.43572i −0.276807 + 0.133303i
\(117\) −2.32598 2.91669i −0.215037 0.269648i
\(118\) 1.59868 + 7.00429i 0.147171 + 0.644798i
\(119\) −0.115066 0.0554130i −0.0105481 0.00507971i
\(120\) 0.0202736 + 0.0888242i 0.00185071 + 0.00810851i
\(121\) 5.65276 2.72222i 0.513887 0.247475i
\(122\) 5.26118 0.476325
\(123\) 0.0435482 0.00392661
\(124\) 4.09307 1.97112i 0.367568 0.177012i
\(125\) −0.222521 + 0.974928i −0.0199029 + 0.0872002i
\(126\) −0.898875 + 1.12715i −0.0800782 + 0.100415i
\(127\) −6.73468 8.44502i −0.597606 0.749374i 0.387397 0.921913i \(-0.373374\pi\)
−0.985003 + 0.172539i \(0.944803\pi\)
\(128\) 1.00000 0.0883883
\(129\) 0.516002 + 0.301122i 0.0454314 + 0.0265123i
\(130\) 1.24698 0.109367
\(131\) 5.13133 + 6.43448i 0.448326 + 0.562183i 0.953716 0.300708i \(-0.0972228\pi\)
−0.505390 + 0.862891i \(0.668651\pi\)
\(132\) 0.123490 0.154851i 0.0107484 0.0134781i
\(133\) −0.388149 + 1.70059i −0.0336568 + 0.147460i
\(134\) 5.98166 2.88061i 0.516737 0.248847i
\(135\) 0.545895 0.0469831
\(136\) 0.265025 0.0227257
\(137\) −3.24526 + 1.56283i −0.277261 + 0.133522i −0.567347 0.823479i \(-0.692030\pi\)
0.290086 + 0.957000i \(0.406316\pi\)
\(138\) −0.0690479 0.302519i −0.00587775 0.0257521i
\(139\) −7.15196 3.44420i −0.606621 0.292133i 0.105248 0.994446i \(-0.466437\pi\)
−0.711868 + 0.702313i \(0.752151\pi\)
\(140\) −0.107232 0.469813i −0.00906273 0.0397064i
\(141\) 0.528921 + 0.663246i 0.0445432 + 0.0558554i
\(142\) 4.71790 2.27202i 0.395918 0.190664i
\(143\) −1.69017 2.11941i −0.141339 0.177234i
\(144\) 0.665716 2.91669i 0.0554763 0.243058i
\(145\) −2.98131 1.43572i −0.247584 0.119230i
\(146\) −0.919736 0.442921i −0.0761179 0.0366564i
\(147\) 0.384445 0.482079i 0.0317085 0.0397612i
\(148\) −1.51136 + 6.62170i −0.124233 + 0.544301i
\(149\) 5.17083 + 22.6549i 0.423611 + 1.85596i 0.510700 + 0.859759i \(0.329386\pi\)
−0.0870897 + 0.996200i \(0.527757\pi\)
\(150\) −0.0568052 + 0.0712315i −0.00463813 + 0.00581603i
\(151\) 4.83483 6.06268i 0.393453 0.493374i −0.545167 0.838327i \(-0.683534\pi\)
0.938620 + 0.344953i \(0.112105\pi\)
\(152\) −0.805464 3.52897i −0.0653317 0.286237i
\(153\) 0.176431 0.772995i 0.0142636 0.0624930i
\(154\) −0.653167 + 0.819046i −0.0526337 + 0.0660006i
\(155\) 4.09307 + 1.97112i 0.328763 + 0.158324i
\(156\) 0.102359 + 0.0492937i 0.00819532 + 0.00394666i
\(157\) −0.627544 + 2.74945i −0.0500835 + 0.219430i −0.993777 0.111392i \(-0.964469\pi\)
0.943693 + 0.330822i \(0.107326\pi\)
\(158\) 4.68126 + 5.87012i 0.372421 + 0.467001i
\(159\) −1.03664 + 0.499222i −0.0822113 + 0.0395909i
\(160\) 0.623490 + 0.781831i 0.0492912 + 0.0618092i
\(161\) 0.365211 + 1.60009i 0.0287827 + 0.126105i
\(162\) −8.04147 3.87257i −0.631798 0.304258i
\(163\) −2.64686 11.5967i −0.207318 0.908321i −0.966343 0.257258i \(-0.917181\pi\)
0.759024 0.651062i \(-0.225676\pi\)
\(164\) 0.430646 0.207388i 0.0336278 0.0161943i
\(165\) 0.198062 0.0154191
\(166\) 6.25612 0.485569
\(167\) 3.84263 1.85051i 0.297352 0.143197i −0.279260 0.960216i \(-0.590089\pi\)
0.576611 + 0.817019i \(0.304375\pi\)
\(168\) 0.00976972 0.0428039i 0.000753750 0.00330239i
\(169\) −7.13587 + 8.94809i −0.548913 + 0.688315i
\(170\) 0.165240 + 0.207205i 0.0126733 + 0.0158919i
\(171\) −10.8291 −0.828123
\(172\) 6.53675 + 0.520446i 0.498423 + 0.0396836i
\(173\) 3.99124 0.303448 0.151724 0.988423i \(-0.451517\pi\)
0.151724 + 0.988423i \(0.451517\pi\)
\(174\) −0.187968 0.235705i −0.0142498 0.0178687i
\(175\) 0.300456 0.376761i 0.0227124 0.0284804i
\(176\) 0.483742 2.11941i 0.0364634 0.159757i
\(177\) −0.589740 + 0.284004i −0.0443276 + 0.0213470i
\(178\) −15.0164 −1.12553
\(179\) −8.68782 −0.649358 −0.324679 0.945824i \(-0.605256\pi\)
−0.324679 + 0.945824i \(0.605256\pi\)
\(180\) 2.69543 1.29805i 0.200905 0.0967509i
\(181\) 0.720953 + 3.15870i 0.0535880 + 0.234784i 0.994628 0.103510i \(-0.0330073\pi\)
−0.941040 + 0.338294i \(0.890150\pi\)
\(182\) −0.541404 0.260726i −0.0401315 0.0193263i
\(183\) 0.106663 + 0.467320i 0.00788474 + 0.0345453i
\(184\) −2.12349 2.66277i −0.156546 0.196302i
\(185\) −6.11937 + 2.94694i −0.449905 + 0.216663i
\(186\) 0.258064 + 0.323602i 0.0189222 + 0.0237277i
\(187\) 0.128204 0.561697i 0.00937517 0.0410753i
\(188\) 8.38904 + 4.03995i 0.611834 + 0.294644i
\(189\) −0.237012 0.114139i −0.0172401 0.00830240i
\(190\) 2.25686 2.83001i 0.163730 0.205311i
\(191\) −3.35967 + 14.7197i −0.243098 + 1.06508i 0.695082 + 0.718931i \(0.255368\pi\)
−0.938179 + 0.346149i \(0.887489\pi\)
\(192\) 0.0202736 + 0.0888242i 0.00146312 + 0.00641034i
\(193\) −4.40902 + 5.52874i −0.317368 + 0.397967i −0.914770 0.403975i \(-0.867628\pi\)
0.597402 + 0.801942i \(0.296200\pi\)
\(194\) 2.62134 3.28706i 0.188201 0.235997i
\(195\) 0.0252807 + 0.110762i 0.00181039 + 0.00793183i
\(196\) 1.50597 6.59810i 0.107569 0.471293i
\(197\) −5.83599 + 7.31810i −0.415797 + 0.521393i −0.944986 0.327111i \(-0.893925\pi\)
0.529189 + 0.848504i \(0.322496\pi\)
\(198\) −5.85963 2.82185i −0.416426 0.200540i
\(199\) −18.8210 9.06371i −1.33418 0.642509i −0.375458 0.926840i \(-0.622514\pi\)
−0.958726 + 0.284330i \(0.908229\pi\)
\(200\) −0.222521 + 0.974928i −0.0157346 + 0.0689378i
\(201\) 0.377138 + 0.472916i 0.0266013 + 0.0333569i
\(202\) 4.84890 2.33511i 0.341167 0.164298i
\(203\) 0.994210 + 1.24670i 0.0697799 + 0.0875012i
\(204\) 0.00537299 + 0.0235406i 0.000376185 + 0.00164817i
\(205\) 0.430646 + 0.207388i 0.0300776 + 0.0144846i
\(206\) 0.484624 + 2.12328i 0.0337654 + 0.147936i
\(207\) −9.18012 + 4.42091i −0.638063 + 0.307275i
\(208\) 1.24698 0.0864625
\(209\) −7.86897 −0.544308
\(210\) 0.0395568 0.0190495i 0.00272968 0.00131454i
\(211\) −0.641331 + 2.80986i −0.0441511 + 0.193439i −0.992194 0.124704i \(-0.960202\pi\)
0.948043 + 0.318142i \(0.103059\pi\)
\(212\) −7.87391 + 9.87357i −0.540782 + 0.678120i
\(213\) 0.297459 + 0.373002i 0.0203816 + 0.0255577i
\(214\) 10.6784 0.729964
\(215\) 3.66870 + 5.43513i 0.250203 + 0.370673i
\(216\) 0.545895 0.0371434
\(217\) −1.36496 1.71161i −0.0926597 0.116192i
\(218\) −2.15319 + 2.70001i −0.145832 + 0.182868i
\(219\) 0.0206958 0.0906744i 0.00139850 0.00612721i
\(220\) 1.95863 0.943227i 0.132051 0.0635923i
\(221\) 0.330480 0.0222305
\(222\) −0.618808 −0.0415317
\(223\) −7.68426 + 3.70055i −0.514576 + 0.247807i −0.673104 0.739548i \(-0.735039\pi\)
0.158528 + 0.987354i \(0.449325\pi\)
\(224\) −0.107232 0.469813i −0.00716472 0.0313907i
\(225\) 2.69543 + 1.29805i 0.179695 + 0.0865366i
\(226\) 1.08750 + 4.76466i 0.0723396 + 0.316940i
\(227\) −13.1596 16.5016i −0.873432 1.09525i −0.994719 0.102632i \(-0.967274\pi\)
0.121288 0.992617i \(-0.461298\pi\)
\(228\) 0.297128 0.143089i 0.0196778 0.00947632i
\(229\) −1.52595 1.91348i −0.100838 0.126447i 0.728852 0.684671i \(-0.240054\pi\)
−0.829690 + 0.558225i \(0.811483\pi\)
\(230\) 0.757865 3.32042i 0.0499721 0.218942i
\(231\) −0.0859931 0.0414121i −0.00565793 0.00272472i
\(232\) −2.98131 1.43572i −0.195732 0.0942597i
\(233\) −0.0582865 + 0.0730889i −0.00381847 + 0.00478822i −0.783737 0.621093i \(-0.786689\pi\)
0.779919 + 0.625881i \(0.215260\pi\)
\(234\) 0.830134 3.63705i 0.0542676 0.237762i
\(235\) 2.07192 + 9.07769i 0.135157 + 0.592163i
\(236\) −4.47941 + 5.61701i −0.291585 + 0.365636i
\(237\) −0.426503 + 0.534818i −0.0277043 + 0.0347401i
\(238\) −0.0284190 0.124512i −0.00184213 0.00807091i
\(239\) −1.66718 + 7.30441i −0.107841 + 0.472483i 0.891952 + 0.452131i \(0.149336\pi\)
−0.999793 + 0.0203522i \(0.993521\pi\)
\(240\) −0.0568052 + 0.0712315i −0.00366676 + 0.00459797i
\(241\) −3.19909 1.54060i −0.206072 0.0992389i 0.328001 0.944677i \(-0.393625\pi\)
−0.534073 + 0.845438i \(0.679339\pi\)
\(242\) 5.65276 + 2.72222i 0.363373 + 0.174991i
\(243\) 0.545368 2.38941i 0.0349854 0.153281i
\(244\) 3.28029 + 4.11336i 0.209999 + 0.263331i
\(245\) 6.09756 2.93643i 0.389559 0.187602i
\(246\) 0.0271518 + 0.0340473i 0.00173114 + 0.00217078i
\(247\) −1.00440 4.40055i −0.0639082 0.280000i
\(248\) 4.09307 + 1.97112i 0.259910 + 0.125166i
\(249\) 0.126834 + 0.555695i 0.00803776 + 0.0352157i
\(250\) −0.900969 + 0.433884i −0.0569823 + 0.0274412i
\(251\) 20.6185 1.30143 0.650714 0.759323i \(-0.274470\pi\)
0.650714 + 0.759323i \(0.274470\pi\)
\(252\) −1.44168 −0.0908176
\(253\) −6.67073 + 3.21245i −0.419385 + 0.201965i
\(254\) 2.40358 10.5308i 0.150814 0.660759i
\(255\) −0.0150548 + 0.0188781i −0.000942768 + 0.00118219i
\(256\) 0.623490 + 0.781831i 0.0389681 + 0.0488645i
\(257\) 0.513451 0.0320282 0.0160141 0.999872i \(-0.494902\pi\)
0.0160141 + 0.999872i \(0.494902\pi\)
\(258\) 0.0862950 + 0.591173i 0.00537249 + 0.0368048i
\(259\) 3.27303 0.203376
\(260\) 0.777479 + 0.974928i 0.0482172 + 0.0604625i
\(261\) −6.17226 + 7.73976i −0.382053 + 0.479079i
\(262\) −1.83135 + 8.02367i −0.113141 + 0.495704i
\(263\) 4.89128 2.35552i 0.301609 0.145247i −0.276958 0.960882i \(-0.589326\pi\)
0.578567 + 0.815635i \(0.303612\pi\)
\(264\) 0.198062 0.0121899
\(265\) −12.6288 −0.775779
\(266\) −1.57158 + 0.756834i −0.0963599 + 0.0464045i
\(267\) −0.304435 1.33382i −0.0186311 0.0816284i
\(268\) 5.98166 + 2.88061i 0.365388 + 0.175962i
\(269\) 3.47004 + 15.2032i 0.211572 + 0.926958i 0.963499 + 0.267712i \(0.0862674\pi\)
−0.751927 + 0.659246i \(0.770875\pi\)
\(270\) 0.340360 + 0.426798i 0.0207136 + 0.0259741i
\(271\) −5.07514 + 2.44406i −0.308293 + 0.148466i −0.581633 0.813452i \(-0.697586\pi\)
0.273340 + 0.961917i \(0.411872\pi\)
\(272\) 0.165240 + 0.207205i 0.0100192 + 0.0125636i
\(273\) 0.0121826 0.0533756i 0.000737327 0.00323044i
\(274\) −3.24526 1.56283i −0.196053 0.0944142i
\(275\) 1.95863 + 0.943227i 0.118110 + 0.0568787i
\(276\) 0.193468 0.242601i 0.0116454 0.0146029i
\(277\) −3.50972 + 15.3771i −0.210879 + 0.923920i 0.753093 + 0.657914i \(0.228561\pi\)
−0.963971 + 0.266006i \(0.914296\pi\)
\(278\) −1.76639 7.73905i −0.105941 0.464157i
\(279\) 8.47396 10.6260i 0.507323 0.636163i
\(280\) 0.300456 0.376761i 0.0179557 0.0225157i
\(281\) 0.518312 + 2.27087i 0.0309199 + 0.135469i 0.988032 0.154249i \(-0.0492957\pi\)
−0.957112 + 0.289718i \(0.906439\pi\)
\(282\) −0.188770 + 0.827054i −0.0112411 + 0.0492504i
\(283\) −2.78706 + 3.49486i −0.165673 + 0.207748i −0.857737 0.514089i \(-0.828130\pi\)
0.692064 + 0.721836i \(0.256702\pi\)
\(284\) 4.71790 + 2.27202i 0.279956 + 0.134820i
\(285\) 0.297128 + 0.143089i 0.0176004 + 0.00847588i
\(286\) 0.603216 2.64286i 0.0356689 0.156276i
\(287\) −0.143613 0.180084i −0.00847718 0.0106301i
\(288\) 2.69543 1.29805i 0.158830 0.0764883i
\(289\) −10.5555 13.2362i −0.620914 0.778601i
\(290\) −0.736322 3.22604i −0.0432383 0.189439i
\(291\) 0.345114 + 0.166198i 0.0202309 + 0.00974271i
\(292\) −0.227156 0.995235i −0.0132933 0.0582417i
\(293\) 16.9825 8.17832i 0.992126 0.477783i 0.133867 0.990999i \(-0.457261\pi\)
0.858259 + 0.513217i \(0.171546\pi\)
\(294\) 0.616602 0.0359610
\(295\) −7.18442 −0.418293
\(296\) −6.11937 + 2.94694i −0.355681 + 0.171287i
\(297\) 0.264072 1.15698i 0.0153230 0.0671345i
\(298\) −14.4883 + 18.1678i −0.839287 + 1.05243i
\(299\) −2.64795 3.32042i −0.153135 0.192025i
\(300\) −0.0911085 −0.00526015
\(301\) −0.456435 3.12686i −0.0263085 0.180229i
\(302\) 7.75446 0.446219
\(303\) 0.305719 + 0.383359i 0.0175631 + 0.0220234i
\(304\) 2.25686 2.83001i 0.129440 0.162312i
\(305\) −1.17072 + 5.12927i −0.0670354 + 0.293701i
\(306\) 0.714355 0.344015i 0.0408370 0.0196660i
\(307\) −21.7636 −1.24211 −0.621057 0.783765i \(-0.713296\pi\)
−0.621057 + 0.783765i \(0.713296\pi\)
\(308\) −1.04760 −0.0596925
\(309\) −0.178773 + 0.0860927i −0.0101701 + 0.00489764i
\(310\) 1.01090 + 4.42906i 0.0574155 + 0.251554i
\(311\) 26.3188 + 12.6745i 1.49240 + 0.718703i 0.989350 0.145554i \(-0.0464965\pi\)
0.503051 + 0.864257i \(0.332211\pi\)
\(312\) 0.0252807 + 0.110762i 0.00143124 + 0.00627066i
\(313\) −5.44325 6.82562i −0.307671 0.385807i 0.603825 0.797117i \(-0.293643\pi\)
−0.911495 + 0.411310i \(0.865071\pi\)
\(314\) −2.54088 + 1.22362i −0.143390 + 0.0690529i
\(315\) −0.898875 1.12715i −0.0506459 0.0635079i
\(316\) −1.67072 + 7.31992i −0.0939855 + 0.411777i
\(317\) 21.8420 + 10.5186i 1.22677 + 0.590781i 0.931189 0.364537i \(-0.118773\pi\)
0.295580 + 0.955318i \(0.404487\pi\)
\(318\) −1.03664 0.499222i −0.0581321 0.0279950i
\(319\) −4.48507 + 5.62409i −0.251115 + 0.314889i
\(320\) −0.222521 + 0.974928i −0.0124393 + 0.0545001i
\(321\) 0.216490 + 0.948505i 0.0120833 + 0.0529404i
\(322\) −1.02330 + 1.28318i −0.0570262 + 0.0715086i
\(323\) 0.598124 0.750023i 0.0332805 0.0417324i
\(324\) −1.98608 8.70158i −0.110338 0.483421i
\(325\) −0.277479 + 1.21572i −0.0153918 + 0.0674357i
\(326\) 7.41634 9.29980i 0.410753 0.515068i
\(327\) −0.283479 0.136516i −0.0156764 0.00754937i
\(328\) 0.430646 + 0.207388i 0.0237785 + 0.0114511i
\(329\) 0.998449 4.37449i 0.0550463 0.241173i
\(330\) 0.123490 + 0.154851i 0.00679789 + 0.00852428i
\(331\) 21.3416 10.2776i 1.17304 0.564907i 0.257165 0.966368i \(-0.417212\pi\)
0.915876 + 0.401461i \(0.131497\pi\)
\(332\) 3.90063 + 4.89123i 0.214075 + 0.268441i
\(333\) 4.52154 + 19.8101i 0.247779 + 1.08559i
\(334\) 3.84263 + 1.85051i 0.210259 + 0.101256i
\(335\) 1.47735 + 6.47268i 0.0807161 + 0.353640i
\(336\) 0.0395568 0.0190495i 0.00215800 0.00103924i
\(337\) 17.5782 0.957546 0.478773 0.877939i \(-0.341082\pi\)
0.478773 + 0.877939i \(0.341082\pi\)
\(338\) −11.4450 −0.622528
\(339\) −0.401170 + 0.193193i −0.0217885 + 0.0104928i
\(340\) −0.0589736 + 0.258380i −0.00319829 + 0.0140126i
\(341\) 6.15760 7.72138i 0.333453 0.418136i
\(342\) −6.75184 8.46654i −0.365098 0.457818i
\(343\) −6.63462 −0.358236
\(344\) 3.66870 + 5.43513i 0.197803 + 0.293043i
\(345\) 0.310299 0.0167059
\(346\) 2.48850 + 3.12048i 0.133782 + 0.167758i
\(347\) −8.97917 + 11.2595i −0.482027 + 0.604443i −0.962070 0.272802i \(-0.912050\pi\)
0.480043 + 0.877245i \(0.340621\pi\)
\(348\) 0.0670852 0.293919i 0.00359614 0.0157557i
\(349\) 19.2510 9.27078i 1.03048 0.496253i 0.159307 0.987229i \(-0.449074\pi\)
0.871173 + 0.490976i \(0.163360\pi\)
\(350\) 0.481895 0.0257584
\(351\) 0.680720 0.0363341
\(352\) 1.95863 0.943227i 0.104395 0.0502742i
\(353\) −4.59331 20.1246i −0.244477 1.07112i −0.936890 0.349623i \(-0.886310\pi\)
0.692413 0.721501i \(-0.256548\pi\)
\(354\) −0.589740 0.284004i −0.0313443 0.0150946i
\(355\) 1.16523 + 5.10519i 0.0618438 + 0.270955i
\(356\) −9.36256 11.7403i −0.496215 0.622234i
\(357\) 0.0104835 0.00504860i 0.000554847 0.000267200i
\(358\) −5.41677 6.79241i −0.286285 0.358990i
\(359\) 3.16761 13.8782i 0.167180 0.732463i −0.819936 0.572455i \(-0.805991\pi\)
0.987116 0.160007i \(-0.0511518\pi\)
\(360\) 2.69543 + 1.29805i 0.142062 + 0.0684132i
\(361\) 5.31357 + 2.55888i 0.279662 + 0.134678i
\(362\) −2.02007 + 2.53308i −0.106172 + 0.133136i
\(363\) −0.127198 + 0.557291i −0.00667617 + 0.0292502i
\(364\) −0.133716 0.585847i −0.00700861 0.0307067i
\(365\) 0.636477 0.798117i 0.0333147 0.0417753i
\(366\) −0.298863 + 0.374762i −0.0156218 + 0.0195891i
\(367\) 2.36795 + 10.3747i 0.123606 + 0.541553i 0.998374 + 0.0570102i \(0.0181568\pi\)
−0.874768 + 0.484542i \(0.838986\pi\)
\(368\) 0.757865 3.32042i 0.0395064 0.173089i
\(369\) 0.891576 1.11800i 0.0464136 0.0582008i
\(370\) −6.11937 2.94694i −0.318131 0.153204i
\(371\) 5.48306 + 2.64050i 0.284666 + 0.137088i
\(372\) −0.0921020 + 0.403525i −0.00477527 + 0.0209218i
\(373\) −12.8124 16.0662i −0.663399 0.831876i 0.330309 0.943873i \(-0.392847\pi\)
−0.993709 + 0.111996i \(0.964275\pi\)
\(374\) 0.519086 0.249978i 0.0268413 0.0129261i
\(375\) −0.0568052 0.0712315i −0.00293341 0.00367838i
\(376\) 2.07192 + 9.07769i 0.106851 + 0.468146i
\(377\) −3.71763 1.79031i −0.191468 0.0922059i
\(378\) −0.0585372 0.256468i −0.00301083 0.0131913i
\(379\) −3.61904 + 1.74284i −0.185897 + 0.0895235i −0.524517 0.851400i \(-0.675754\pi\)
0.338620 + 0.940923i \(0.390040\pi\)
\(380\) 3.61972 0.185688
\(381\) 0.984116 0.0504178
\(382\) −13.6030 + 6.55088i −0.695992 + 0.335172i
\(383\) 5.84586 25.6124i 0.298709 1.30873i −0.573341 0.819317i \(-0.694353\pi\)
0.872051 0.489415i \(-0.162790\pi\)
\(384\) −0.0568052 + 0.0712315i −0.00289883 + 0.00363502i
\(385\) −0.653167 0.819046i −0.0332885 0.0417424i
\(386\) −7.07152 −0.359931
\(387\) 18.2949 7.08220i 0.929983 0.360009i
\(388\) 4.20430 0.213441
\(389\) −8.55174 10.7235i −0.433591 0.543706i 0.516251 0.856437i \(-0.327327\pi\)
−0.949841 + 0.312732i \(0.898756\pi\)
\(390\) −0.0708350 + 0.0888242i −0.00358687 + 0.00449779i
\(391\) 0.200853 0.879994i 0.0101576 0.0445032i
\(392\) 6.09756 2.93643i 0.307973 0.148312i
\(393\) −0.749824 −0.0378236
\(394\) −9.36020 −0.471560
\(395\) −6.76462 + 3.25767i −0.340365 + 0.163911i
\(396\) −1.44721 6.34064i −0.0727250 0.318629i
\(397\) 35.0094 + 16.8596i 1.75707 + 0.846161i 0.974754 + 0.223280i \(0.0716764\pi\)
0.782317 + 0.622881i \(0.214038\pi\)
\(398\) −4.64840 20.3660i −0.233003 1.02085i
\(399\) −0.0990867 0.124251i −0.00496054 0.00622032i
\(400\) −0.900969 + 0.433884i −0.0450484 + 0.0216942i
\(401\) −11.4822 14.3983i −0.573395 0.719015i 0.407575 0.913172i \(-0.366374\pi\)
−0.980971 + 0.194157i \(0.937803\pi\)
\(402\) −0.134599 + 0.589716i −0.00671318 + 0.0294124i
\(403\) 5.10397 + 2.45794i 0.254247 + 0.122439i
\(404\) 4.84890 + 2.33511i 0.241242 + 0.116176i
\(405\) 5.56487 6.97813i 0.276521 0.346746i
\(406\) −0.354830 + 1.55461i −0.0176099 + 0.0771540i
\(407\) 3.28557 + 14.3950i 0.162860 + 0.713535i
\(408\) −0.0150548 + 0.0188781i −0.000745323 + 0.000934606i
\(409\) 17.5295 21.9813i 0.866779 1.08691i −0.128677 0.991687i \(-0.541073\pi\)
0.995456 0.0952201i \(-0.0303555\pi\)
\(410\) 0.106361 + 0.465997i 0.00525279 + 0.0230140i
\(411\) 0.0730245 0.319941i 0.00360204 0.0157815i
\(412\) −1.35789 + 1.70274i −0.0668983 + 0.0838878i
\(413\) 3.11928 + 1.50216i 0.153490 + 0.0739167i
\(414\) −9.18012 4.42091i −0.451178 0.217276i
\(415\) −1.39212 + 6.09926i −0.0683363 + 0.299401i
\(416\) 0.777479 + 0.974928i 0.0381190 + 0.0477998i
\(417\) 0.651604 0.313796i 0.0319092 0.0153667i
\(418\) −4.90622 6.15221i −0.239971 0.300914i
\(419\) −0.940425 4.12027i −0.0459427 0.201288i 0.946748 0.321976i \(-0.104347\pi\)
−0.992691 + 0.120688i \(0.961490\pi\)
\(420\) 0.0395568 + 0.0190495i 0.00193017 + 0.000929522i
\(421\) −5.35152 23.4465i −0.260817 1.14271i −0.920368 0.391054i \(-0.872111\pi\)
0.659551 0.751660i \(-0.270746\pi\)
\(422\) −2.59670 + 1.25050i −0.126405 + 0.0608736i
\(423\) 27.8561 1.35441
\(424\) −12.6288 −0.613307
\(425\) −0.238779 + 0.114990i −0.0115825 + 0.00557783i
\(426\) −0.106162 + 0.465126i −0.00514357 + 0.0225354i
\(427\) 1.58076 1.98221i 0.0764981 0.0959256i
\(428\) 6.65790 + 8.34874i 0.321822 + 0.403552i
\(429\) 0.246980 0.0119243
\(430\) −1.96196 + 6.25705i −0.0946142 + 0.301742i
\(431\) 0.750696 0.0361598 0.0180799 0.999837i \(-0.494245\pi\)
0.0180799 + 0.999837i \(0.494245\pi\)
\(432\) 0.340360 + 0.426798i 0.0163756 + 0.0205343i
\(433\) −8.41718 + 10.5548i −0.404504 + 0.507232i −0.941806 0.336158i \(-0.890872\pi\)
0.537301 + 0.843390i \(0.319444\pi\)
\(434\) 0.487150 2.13434i 0.0233839 0.102452i
\(435\) 0.271622 0.130806i 0.0130233 0.00627169i
\(436\) −3.45344 −0.165390
\(437\) −12.3281 −0.589733
\(438\) 0.0837958 0.0403539i 0.00400392 0.00192818i
\(439\) −6.16124 26.9942i −0.294060 1.28836i −0.878820 0.477154i \(-0.841668\pi\)
0.584760 0.811207i \(-0.301189\pi\)
\(440\) 1.95863 + 0.943227i 0.0933741 + 0.0449666i
\(441\) −4.50542 19.7395i −0.214544 0.939977i
\(442\) 0.206051 + 0.258380i 0.00980086 + 0.0122899i
\(443\) 32.1795 15.4968i 1.52889 0.736276i 0.534817 0.844968i \(-0.320380\pi\)
0.994075 + 0.108692i \(0.0346662\pi\)
\(444\) −0.385821 0.483804i −0.0183102 0.0229603i
\(445\) 3.34146 14.6399i 0.158400 0.693998i
\(446\) −7.68426 3.70055i −0.363860 0.175226i
\(447\) −1.90747 0.918589i −0.0902202 0.0434478i
\(448\) 0.300456 0.376761i 0.0141952 0.0178003i
\(449\) −1.73499 + 7.60150i −0.0818794 + 0.358737i −0.999225 0.0393540i \(-0.987470\pi\)
0.917346 + 0.398091i \(0.130327\pi\)
\(450\) 0.665716 + 2.91669i 0.0313821 + 0.137494i
\(451\) 0.647863 0.812394i 0.0305067 0.0382542i
\(452\) −3.04711 + 3.82096i −0.143324 + 0.179723i
\(453\) 0.157210 + 0.688784i 0.00738639 + 0.0323619i
\(454\) 4.69660 20.5771i 0.220422 0.965733i
\(455\) 0.374663 0.469813i 0.0175645 0.0220252i
\(456\) 0.297128 + 0.143089i 0.0139143 + 0.00670077i
\(457\) −11.2906 5.43725i −0.528150 0.254344i 0.150753 0.988571i \(-0.451830\pi\)
−0.678903 + 0.734228i \(0.737544\pi\)
\(458\) 0.544606 2.38607i 0.0254478 0.111494i
\(459\) 0.0902038 + 0.113112i 0.00421035 + 0.00527961i
\(460\) 3.06853 1.47773i 0.143071 0.0688994i
\(461\) −26.0363 32.6485i −1.21263 1.52059i −0.788556 0.614962i \(-0.789171\pi\)
−0.424074 0.905628i \(-0.639400\pi\)
\(462\) −0.0212385 0.0930522i −0.000988107 0.00432918i
\(463\) −23.2189 11.1816i −1.07908 0.519655i −0.192054 0.981384i \(-0.561515\pi\)
−0.887021 + 0.461729i \(0.847229\pi\)
\(464\) −0.736322 3.22604i −0.0341829 0.149765i
\(465\) −0.372913 + 0.179586i −0.0172934 + 0.00832808i
\(466\) −0.0934843 −0.00433057
\(467\) 5.39533 0.249666 0.124833 0.992178i \(-0.460160\pi\)
0.124833 + 0.992178i \(0.460160\pi\)
\(468\) 3.36114 1.61864i 0.155369 0.0748217i
\(469\) 0.711926 3.11915i 0.0328737 0.144029i
\(470\) −5.80540 + 7.27974i −0.267783 + 0.335789i
\(471\) −0.160200 0.200884i −0.00738161 0.00925625i
\(472\) −7.18442 −0.330690
\(473\) 13.2940 5.14628i 0.611258 0.236626i
\(474\) −0.684057 −0.0314198
\(475\) 2.25686 + 2.83001i 0.103552 + 0.129850i
\(476\) 0.0796284 0.0998509i 0.00364976 0.00457666i
\(477\) −8.40717 + 36.8342i −0.384938 + 1.68652i
\(478\) −6.75029 + 3.25077i −0.308751 + 0.148687i
\(479\) −14.5475 −0.664693 −0.332346 0.943157i \(-0.607840\pi\)
−0.332346 + 0.943157i \(0.607840\pi\)
\(480\) −0.0911085 −0.00415852
\(481\) −7.63073 + 3.67477i −0.347932 + 0.167555i
\(482\) −0.790110 3.46170i −0.0359885 0.157676i
\(483\) −0.134723 0.0648792i −0.00613011 0.00295210i
\(484\) 1.39612 + 6.11678i 0.0634598 + 0.278036i
\(485\) 2.62134 + 3.28706i 0.119029 + 0.149258i
\(486\) 2.20815 1.06339i 0.100164 0.0482363i
\(487\) 9.34686 + 11.7206i 0.423547 + 0.531111i 0.947124 0.320867i \(-0.103974\pi\)
−0.523577 + 0.851978i \(0.675403\pi\)
\(488\) −1.17072 + 5.12927i −0.0529961 + 0.232191i
\(489\) 0.976403 + 0.470211i 0.0441545 + 0.0212637i
\(490\) 6.09756 + 2.93643i 0.275460 + 0.132654i
\(491\) −9.77164 + 12.2533i −0.440988 + 0.552981i −0.951803 0.306709i \(-0.900772\pi\)
0.510815 + 0.859690i \(0.329344\pi\)
\(492\) −0.00969038 + 0.0424563i −0.000436876 + 0.00191408i
\(493\) −0.195143 0.854979i −0.00878882 0.0385063i
\(494\) 2.81426 3.52897i 0.126619 0.158776i
\(495\) 4.05499 5.08480i 0.182258 0.228545i
\(496\) 1.01090 + 4.42906i 0.0453909 + 0.198871i
\(497\) 0.561516 2.46016i 0.0251875 0.110353i
\(498\) −0.355380 + 0.445633i −0.0159250 + 0.0199693i
\(499\) 5.12098 + 2.46613i 0.229247 + 0.110399i 0.544981 0.838448i \(-0.316537\pi\)
−0.315735 + 0.948847i \(0.602251\pi\)
\(500\) −0.900969 0.433884i −0.0402926 0.0194039i
\(501\) −0.0864667 + 0.378835i −0.00386305 + 0.0169251i
\(502\) 12.8554 + 16.1202i 0.573766 + 0.719479i
\(503\) 33.8750 16.3133i 1.51041 0.727375i 0.518590 0.855023i \(-0.326457\pi\)
0.991820 + 0.127648i \(0.0407427\pi\)
\(504\) −0.898875 1.12715i −0.0400391 0.0502074i
\(505\) 1.19758 + 5.24694i 0.0532916 + 0.233486i
\(506\) −6.67073 3.21245i −0.296550 0.142811i
\(507\) −0.232032 1.01660i −0.0103049 0.0451487i
\(508\) 9.73189 4.68663i 0.431783 0.207936i
\(509\) 29.4161 1.30385 0.651924 0.758284i \(-0.273962\pi\)
0.651924 + 0.758284i \(0.273962\pi\)
\(510\) −0.0241460 −0.00106920
\(511\) −0.443216 + 0.213442i −0.0196067 + 0.00944210i
\(512\) −0.222521 + 0.974928i −0.00983413 + 0.0430861i
\(513\) 1.23201 1.54489i 0.0543945 0.0682085i
\(514\) 0.320131 + 0.401432i 0.0141204 + 0.0177064i
\(515\) −2.17788 −0.0959689
\(516\) −0.408394 + 0.436059i −0.0179785 + 0.0191964i
\(517\) 20.2416 0.890226
\(518\) 2.04070 + 2.55895i 0.0896631 + 0.112434i
\(519\) −0.226723 + 0.284302i −0.00995205 + 0.0124795i
\(520\) −0.277479 + 1.21572i −0.0121683 + 0.0533126i
\(521\) −25.7971 + 12.4232i −1.13019 + 0.544272i −0.903027 0.429584i \(-0.858660\pi\)
−0.227166 + 0.973856i \(0.572946\pi\)
\(522\) −9.89953 −0.433291
\(523\) −23.8407 −1.04248 −0.521240 0.853410i \(-0.674530\pi\)
−0.521240 + 0.853410i \(0.674530\pi\)
\(524\) −7.41499 + 3.57087i −0.323925 + 0.155994i
\(525\) 0.00976972 + 0.0428039i 0.000426385 + 0.00186812i
\(526\) 4.89128 + 2.35552i 0.213270 + 0.102705i
\(527\) 0.267915 + 1.17381i 0.0116705 + 0.0511320i
\(528\) 0.123490 + 0.154851i 0.00537420 + 0.00673904i
\(529\) 10.2714 4.94646i 0.446584 0.215064i
\(530\) −7.87391 9.87357i −0.342021 0.428881i
\(531\) −4.78278 + 20.9547i −0.207555 + 0.909358i
\(532\) −1.57158 0.756834i −0.0681367 0.0328129i
\(533\) 0.537007 + 0.258609i 0.0232604 + 0.0112016i
\(534\) 0.853009 1.06964i 0.0369133 0.0462878i
\(535\) −2.37618 + 10.4107i −0.102731 + 0.450094i
\(536\) 1.47735 + 6.47268i 0.0638117 + 0.279577i
\(537\) 0.493513 0.618846i 0.0212967 0.0267052i
\(538\) −9.72284 + 12.1921i −0.419181 + 0.525637i
\(539\) −3.27386 14.3437i −0.141015 0.617827i
\(540\) −0.121473 + 0.532208i −0.00522737 + 0.0229026i
\(541\) 17.6309 22.1085i 0.758012 0.950517i −0.241791 0.970328i \(-0.577735\pi\)
0.999804 + 0.0198109i \(0.00630641\pi\)
\(542\) −5.07514 2.44406i −0.217996 0.104981i
\(543\) −0.265953 0.128076i −0.0114131 0.00549627i
\(544\) −0.0589736 + 0.258380i −0.00252847 + 0.0110780i
\(545\) −2.15319 2.70001i −0.0922324 0.115656i
\(546\) 0.0493265 0.0237544i 0.00211098 0.00101659i
\(547\) 12.4552 + 15.6183i 0.532545 + 0.667791i 0.973220 0.229876i \(-0.0738322\pi\)
−0.440675 + 0.897667i \(0.645261\pi\)
\(548\) −0.801512 3.51165i −0.0342389 0.150010i
\(549\) 14.1811 + 6.82927i 0.605236 + 0.291466i
\(550\) 0.483742 + 2.11941i 0.0206268 + 0.0903720i
\(551\) −10.7915 + 5.19691i −0.459733 + 0.221396i
\(552\) 0.310299 0.0132072
\(553\) 3.61814 0.153859
\(554\) −14.2106 + 6.84345i −0.603749 + 0.290750i
\(555\) 0.137698 0.603294i 0.00584495 0.0256084i
\(556\) 4.94931 6.20623i 0.209897 0.263203i
\(557\) 3.16847 + 3.97313i 0.134252 + 0.168347i 0.844413 0.535692i \(-0.179949\pi\)
−0.710161 + 0.704039i \(0.751378\pi\)
\(558\) 13.5912 0.575361
\(559\) 4.57479 + 6.77750i 0.193493 + 0.286658i
\(560\) 0.481895 0.0203638
\(561\) 0.0327279 + 0.0410394i 0.00138177 + 0.00173269i
\(562\) −1.45228 + 1.82110i −0.0612607 + 0.0768184i
\(563\) −7.90229 + 34.6222i −0.333042 + 1.45915i 0.480166 + 0.877178i \(0.340576\pi\)
−0.813208 + 0.581973i \(0.802281\pi\)
\(564\) −0.764313 + 0.368074i −0.0321834 + 0.0154987i
\(565\) −4.88719 −0.205606
\(566\) −4.47009 −0.187892
\(567\) −3.87514 + 1.86617i −0.162741 + 0.0783718i
\(568\) 1.16523 + 5.10519i 0.0488918 + 0.214209i
\(569\) −9.57265 4.60994i −0.401306 0.193259i 0.222334 0.974971i \(-0.428633\pi\)
−0.623640 + 0.781712i \(0.714347\pi\)
\(570\) 0.0733846 + 0.321519i 0.00307374 + 0.0134669i
\(571\) −24.2309 30.3846i −1.01403 1.27156i −0.962040 0.272910i \(-0.912014\pi\)
−0.0519938 0.998647i \(-0.516558\pi\)
\(572\) 2.44237 1.17618i 0.102121 0.0491788i
\(573\) −0.857659 1.07547i −0.0358292 0.0449284i
\(574\) 0.0512547 0.224562i 0.00213933 0.00937302i
\(575\) 3.06853 + 1.47773i 0.127967 + 0.0616255i
\(576\) 2.69543 + 1.29805i 0.112309 + 0.0540854i
\(577\) −21.0086 + 26.3439i −0.874598 + 1.09671i 0.119986 + 0.992776i \(0.461715\pi\)
−0.994584 + 0.103936i \(0.966856\pi\)
\(578\) 3.76723 16.5053i 0.156696 0.686530i
\(579\) −0.143365 0.628123i −0.00595804 0.0261039i
\(580\) 2.06313 2.58708i 0.0856667 0.107423i
\(581\) 1.87969 2.35706i 0.0779827 0.0977872i
\(582\) 0.0852361 + 0.373444i 0.00353315 + 0.0154797i
\(583\) −6.10907 + 26.7656i −0.253012 + 1.10852i
\(584\) 0.636477 0.798117i 0.0263376 0.0330263i
\(585\) 3.36114 + 1.61864i 0.138966 + 0.0669226i
\(586\) 16.9825 + 8.17832i 0.701539 + 0.337843i
\(587\) −1.73991 + 7.62303i −0.0718137 + 0.314636i −0.998058 0.0622867i \(-0.980161\pi\)
0.926245 + 0.376923i \(0.123018\pi\)
\(588\) 0.384445 + 0.482079i 0.0158542 + 0.0198806i
\(589\) 14.8158 7.13490i 0.610473 0.293988i
\(590\) −4.47941 5.61701i −0.184415 0.231249i
\(591\) −0.189764 0.831412i −0.00780587 0.0341997i
\(592\) −6.11937 2.94694i −0.251505 0.121118i
\(593\) −6.28979 27.5573i −0.258291 1.13164i −0.923078 0.384612i \(-0.874335\pi\)
0.664788 0.747032i \(-0.268522\pi\)
\(594\) 1.06921 0.514903i 0.0438701 0.0211267i
\(595\) 0.127714 0.00523577
\(596\) −23.2375 −0.951844
\(597\) 1.71475 0.825781i 0.0701801 0.0337970i
\(598\) 0.945042 4.14050i 0.0386456 0.169318i
\(599\) −10.4455 + 13.0983i −0.426793 + 0.535181i −0.948009 0.318243i \(-0.896907\pi\)
0.521216 + 0.853425i \(0.325478\pi\)
\(600\) −0.0568052 0.0712315i −0.00231906 0.00290801i
\(601\) −10.1209 −0.412840 −0.206420 0.978463i \(-0.566181\pi\)
−0.206420 + 0.978463i \(0.566181\pi\)
\(602\) 2.16009 2.30642i 0.0880388 0.0940026i
\(603\) 19.8623 0.808856
\(604\) 4.83483 + 6.06268i 0.196726 + 0.246687i
\(605\) −3.91183 + 4.90528i −0.159039 + 0.199428i
\(606\) −0.109110 + 0.478041i −0.00443228 + 0.0194191i
\(607\) −9.32241 + 4.48944i −0.378385 + 0.182221i −0.613402 0.789771i \(-0.710200\pi\)
0.235017 + 0.971991i \(0.424485\pi\)
\(608\) 3.61972 0.146799
\(609\) −0.145281 −0.00588707
\(610\) −4.74016 + 2.28274i −0.191923 + 0.0924255i
\(611\) 2.58365 + 11.3197i 0.104523 + 0.457946i
\(612\) 0.714355 + 0.344015i 0.0288761 + 0.0139060i
\(613\) 5.33581 + 23.3777i 0.215511 + 0.944217i 0.960749 + 0.277418i \(0.0894788\pi\)
−0.745238 + 0.666799i \(0.767664\pi\)
\(614\) −13.5694 17.0155i −0.547616 0.686688i
\(615\) −0.0392355 + 0.0188948i −0.00158213 + 0.000761914i
\(616\) −0.653167 0.819046i −0.0263169 0.0330003i
\(617\) −6.91617 + 30.3017i −0.278434 + 1.21990i 0.621338 + 0.783542i \(0.286589\pi\)
−0.899773 + 0.436359i \(0.856268\pi\)
\(618\) −0.178773 0.0860927i −0.00719132 0.00346316i
\(619\) 0.422918 + 0.203666i 0.0169985 + 0.00818604i 0.442364 0.896836i \(-0.354140\pi\)
−0.425365 + 0.905022i \(0.639854\pi\)
\(620\) −2.83249 + 3.55183i −0.113756 + 0.142645i
\(621\) 0.413714 1.81260i 0.0166018 0.0727372i
\(622\) 6.50020 + 28.4792i 0.260634 + 1.14191i
\(623\) −4.51177 + 5.65758i −0.180760 + 0.226666i
\(624\) −0.0708350 + 0.0888242i −0.00283567 + 0.00355581i
\(625\) −0.222521 0.974928i −0.00890084 0.0389971i
\(626\) 1.94267 8.51141i 0.0776448 0.340184i
\(627\) 0.446999 0.560519i 0.0178514 0.0223850i
\(628\) −2.54088 1.22362i −0.101392 0.0488278i
\(629\) −1.62179 0.781011i −0.0646648 0.0311409i
\(630\) 0.320805 1.40554i 0.0127812 0.0559980i
\(631\) 15.4722 + 19.4015i 0.615938 + 0.772362i 0.987767 0.155939i \(-0.0498404\pi\)
−0.371828 + 0.928302i \(0.621269\pi\)
\(632\) −6.76462 + 3.25767i −0.269082 + 0.129583i
\(633\) −0.163719 0.205298i −0.00650726 0.00815984i
\(634\) 5.39453 + 23.6350i 0.214244 + 0.938665i
\(635\) 9.73189 + 4.68663i 0.386198 + 0.185983i
\(636\) −0.256030 1.12174i −0.0101523 0.0444799i
\(637\) 7.60353 3.66167i 0.301263 0.145081i
\(638\) −7.19349 −0.284793
\(639\) 15.6660 0.619736
\(640\) −0.900969 + 0.433884i −0.0356139 + 0.0171508i
\(641\) 1.04083 4.56017i 0.0411102 0.180116i −0.950204 0.311627i \(-0.899126\pi\)
0.991315 + 0.131512i \(0.0419831\pi\)
\(642\) −0.606592 + 0.760642i −0.0239403 + 0.0300201i
\(643\) −7.70645 9.66359i −0.303913 0.381095i 0.606300 0.795236i \(-0.292653\pi\)
−0.910212 + 0.414142i \(0.864082\pi\)
\(644\) −1.64124 −0.0646741
\(645\) −0.595554 0.0474171i −0.0234499 0.00186705i
\(646\) 0.959316 0.0377438
\(647\) −16.3307 20.4781i −0.642026 0.805076i 0.349228 0.937038i \(-0.386444\pi\)
−0.991255 + 0.131962i \(0.957872\pi\)
\(648\) 5.56487 6.97813i 0.218609 0.274127i
\(649\) −3.47541 + 15.2268i −0.136422 + 0.597702i
\(650\) −1.12349 + 0.541044i −0.0440669 + 0.0212215i
\(651\) 0.199458 0.00781736
\(652\) 11.8949 0.465840
\(653\) −15.8981 + 7.65611i −0.622140 + 0.299607i −0.718273 0.695762i \(-0.755067\pi\)
0.0961328 + 0.995369i \(0.469353\pi\)
\(654\) −0.0700136 0.306749i −0.00273775 0.0119949i
\(655\) −7.41499 3.57087i −0.289727 0.139525i
\(656\) 0.106361 + 0.465997i 0.00415269 + 0.0181941i
\(657\) −1.90415 2.38773i −0.0742879 0.0931540i
\(658\) 4.04264 1.94683i 0.157598 0.0758954i
\(659\) −1.77314 2.22345i −0.0690718 0.0866133i 0.746095 0.665839i \(-0.231926\pi\)
−0.815167 + 0.579226i \(0.803355\pi\)
\(660\) −0.0440730 + 0.193096i −0.00171554 + 0.00751627i
\(661\) 28.1220 + 13.5428i 1.09382 + 0.526755i 0.891709 0.452608i \(-0.149506\pi\)
0.202108 + 0.979363i \(0.435221\pi\)
\(662\) 21.3416 + 10.2776i 0.829465 + 0.399449i
\(663\) −0.0187730 + 0.0235406i −0.000729084 + 0.000914242i
\(664\) −1.39212 + 6.09926i −0.0540246 + 0.236697i
\(665\) −0.388149 1.70059i −0.0150518 0.0659461i
\(666\) −12.6691 + 15.8865i −0.490916 + 0.615589i
\(667\) −7.02663 + 8.81111i −0.272072 + 0.341168i
\(668\) 0.949052 + 4.15807i 0.0367199 + 0.160880i
\(669\) 0.172911 0.757572i 0.00668512 0.0292894i
\(670\) −4.13944 + 5.19069i −0.159920 + 0.200534i
\(671\) 10.3047 + 4.96249i 0.397809 + 0.191575i
\(672\) 0.0395568 + 0.0190495i 0.00152594 + 0.000734852i
\(673\) −3.47034 + 15.2045i −0.133772 + 0.586092i 0.862957 + 0.505277i \(0.168610\pi\)
−0.996729 + 0.0808152i \(0.974248\pi\)
\(674\) 10.9598 + 13.7432i 0.422157 + 0.529368i
\(675\) −0.491834 + 0.236855i −0.0189307 + 0.00911655i
\(676\) −7.13587 8.94809i −0.274456 0.344157i
\(677\) 4.85148 + 21.2557i 0.186458 + 0.816924i 0.978465 + 0.206413i \(0.0661789\pi\)
−0.792008 + 0.610511i \(0.790964\pi\)
\(678\) −0.401170 0.193193i −0.0154068 0.00741954i
\(679\) −0.450834 1.97523i −0.0173014 0.0758025i
\(680\) −0.238779 + 0.114990i −0.00915676 + 0.00440966i
\(681\) 1.92297 0.0736882
\(682\) 9.87602 0.378172
\(683\) −42.4204 + 20.4286i −1.62317 + 0.781677i −1.00000 0.000409135i \(-0.999870\pi\)
−0.623170 + 0.782087i \(0.714155\pi\)
\(684\) 2.40970 10.5576i 0.0921374 0.403680i
\(685\) 2.24579 2.81613i 0.0858071 0.107599i
\(686\) −4.13662 5.18715i −0.157937 0.198046i
\(687\) 0.222982 0.00850730
\(688\) −1.96196 + 6.25705i −0.0747991 + 0.238548i
\(689\) −15.7478 −0.599944
\(690\) 0.193468 + 0.242601i 0.00736520 + 0.00923567i
\(691\) −25.5139 + 31.9934i −0.970594 + 1.21709i 0.00555468 + 0.999985i \(0.498232\pi\)
−0.976149 + 0.217102i \(0.930340\pi\)
\(692\) −0.888134 + 3.89117i −0.0337618 + 0.147920i
\(693\) −2.82373 + 1.35984i −0.107265 + 0.0516559i
\(694\) −14.4015 −0.546672
\(695\) 7.93807 0.301108
\(696\) 0.271622 0.130806i 0.0102958 0.00495820i
\(697\) 0.0281883 + 0.123501i 0.00106771 + 0.00467793i
\(698\) 19.2510 + 9.27078i 0.728660 + 0.350904i
\(699\) −0.00189526 0.00830367i −7.16852e−5 0.000314074i
\(700\) 0.300456 + 0.376761i 0.0113562 + 0.0142402i
\(701\) −35.9168 + 17.2966i −1.35656 + 0.653285i −0.963867 0.266385i \(-0.914171\pi\)
−0.392693 + 0.919670i \(0.628456\pi\)
\(702\) 0.424422 + 0.532208i 0.0160188 + 0.0200869i
\(703\) −5.47070 + 23.9687i −0.206331 + 0.903997i
\(704\) 1.95863 + 0.943227i 0.0738187 + 0.0355492i
\(705\) −0.764313 0.368074i −0.0287857 0.0138625i
\(706\) 12.8702 16.1387i 0.484375 0.607387i
\(707\) 0.577107 2.52847i 0.0217044 0.0950930i
\(708\) −0.145654 0.638151i −0.00547400 0.0239832i
\(709\) 26.1016 32.7304i 0.980268 1.22922i 0.00689801 0.999976i \(-0.497804\pi\)
0.973370 0.229241i \(-0.0736243\pi\)
\(710\) −3.26489 + 4.09404i −0.122529 + 0.153647i
\(711\) 4.99830 + 21.8990i 0.187451 + 0.821276i
\(712\) 3.34146 14.6399i 0.125227 0.548653i
\(713\) 9.64694 12.0969i 0.361281 0.453032i
\(714\) 0.0104835 + 0.00504860i 0.000392336 + 0.000188939i
\(715\) 2.44237 + 1.17618i 0.0913396 + 0.0439868i
\(716\) 1.93322 8.47000i 0.0722479 0.316539i
\(717\) −0.425599 0.533684i −0.0158943 0.0199308i
\(718\) 12.8254 6.17637i 0.478639 0.230500i
\(719\) 10.7520 + 13.4825i 0.400981 + 0.502814i 0.940798 0.338969i \(-0.110078\pi\)
−0.539817 + 0.841782i \(0.681507\pi\)
\(720\) 0.665716 + 2.91669i 0.0248098 + 0.108699i
\(721\) 0.945575 + 0.455365i 0.0352151 + 0.0169587i
\(722\) 1.31234 + 5.74976i 0.0488404 + 0.213984i
\(723\) 0.291464 0.140362i 0.0108397 0.00522012i
\(724\) −3.23993 −0.120411
\(725\) 3.30900 0.122893
\(726\) −0.515014 + 0.248018i −0.0191140 + 0.00920481i
\(727\) 9.65675 42.3090i 0.358149 1.56915i −0.399652 0.916667i \(-0.630869\pi\)
0.757801 0.652486i \(-0.226274\pi\)
\(728\) 0.374663 0.469813i 0.0138859 0.0174124i
\(729\) −16.5554 20.7598i −0.613163 0.768882i
\(730\) 1.02083 0.0377826
\(731\) −0.519968 + 1.65827i −0.0192317 + 0.0613335i
\(732\) −0.479338 −0.0177169
\(733\) −26.2875 32.9635i −0.970952 1.21754i −0.976049 0.217549i \(-0.930194\pi\)
0.00509721 0.999987i \(-0.498378\pi\)
\(734\) −6.63484 + 8.31983i −0.244896 + 0.307090i
\(735\) −0.137207 + 0.601143i −0.00506095 + 0.0221735i
\(736\) 3.06853 1.47773i 0.113108 0.0544697i
\(737\) 14.4329 0.531644
\(738\) 1.42998 0.0526382
\(739\) −10.4015 + 5.00908i −0.382624 + 0.184262i −0.615301 0.788292i \(-0.710966\pi\)
0.232678 + 0.972554i \(0.425251\pi\)
\(740\) −1.51136 6.62170i −0.0555587 0.243419i
\(741\) 0.370513 + 0.178430i 0.0136111 + 0.00655477i
\(742\) 1.35420 + 5.93316i 0.0497144 + 0.217813i
\(743\) −3.60902 4.52557i −0.132402 0.166027i 0.711211 0.702979i \(-0.248147\pi\)
−0.843613 + 0.536952i \(0.819576\pi\)
\(744\) −0.372913 + 0.179586i −0.0136717 + 0.00658393i
\(745\) −14.4883 18.1678i −0.530811 0.665617i
\(746\) 4.57268 20.0342i 0.167418 0.733505i
\(747\) 16.8629 + 8.12075i 0.616982 + 0.297123i
\(748\) 0.519086 + 0.249978i 0.0189797 + 0.00914012i
\(749\) 3.20841 4.02322i 0.117233 0.147005i
\(750\) 0.0202736 0.0888242i 0.000740285 0.00324340i
\(751\) 5.28996 + 23.1768i 0.193034 + 0.845735i 0.974963 + 0.222368i \(0.0713786\pi\)
−0.781929 + 0.623367i \(0.785764\pi\)
\(752\) −5.80540 + 7.27974i −0.211701 + 0.265465i
\(753\) −1.17124 + 1.46869i −0.0426823 + 0.0535219i
\(754\) −0.918178 4.02280i −0.0334381 0.146502i
\(755\) −1.72553 + 7.56004i −0.0627984 + 0.275138i
\(756\) 0.164018 0.205672i 0.00596526 0.00748020i
\(757\) 3.89495 + 1.87571i 0.141564 + 0.0681737i 0.503325 0.864097i \(-0.332110\pi\)
−0.361761 + 0.932271i \(0.617824\pi\)
\(758\) −3.61904 1.74284i −0.131449 0.0633027i
\(759\) 0.150104 0.657650i 0.00544844 0.0238712i
\(760\) 2.25686 + 2.83001i 0.0818649 + 0.102655i
\(761\) 13.9525 6.71918i 0.505779 0.243570i −0.163552 0.986535i \(-0.552295\pi\)
0.669331 + 0.742964i \(0.266581\pi\)
\(762\) 0.613586 + 0.769413i 0.0222279 + 0.0278729i
\(763\) 0.370318 + 1.62247i 0.0134064 + 0.0587374i
\(764\) −13.6030 6.55088i −0.492141 0.237003i
\(765\) 0.176431 + 0.772995i 0.00637888 + 0.0279477i
\(766\) 23.6694 11.3986i 0.855210 0.411848i
\(767\) −8.95883 −0.323485
\(768\) −0.0911085 −0.00328760
\(769\) −3.58809 + 1.72793i −0.129390 + 0.0623109i −0.497459 0.867488i \(-0.665733\pi\)
0.368069 + 0.929799i \(0.380019\pi\)
\(770\) 0.233113 1.02133i 0.00840080 0.0368063i
\(771\) −0.0291667 + 0.0365739i −0.00105041 + 0.00131718i
\(772\) −4.40902 5.52874i −0.158684 0.198984i
\(773\) −39.8174 −1.43213 −0.716066 0.698032i \(-0.754059\pi\)
−0.716066 + 0.698032i \(0.754059\pi\)
\(774\) 16.9438 + 9.88785i 0.609032 + 0.355412i
\(775\) −4.54296 −0.163188
\(776\) 2.62134 + 3.28706i 0.0941006 + 0.117998i
\(777\) −0.185925 + 0.233143i −0.00667002 + 0.00836394i
\(778\) 3.05208 13.3720i 0.109422 0.479411i
\(779\) 1.55882 0.750688i 0.0558505 0.0268962i
\(780\) −0.113610 −0.00406791
\(781\) 11.3837 0.407340
\(782\) 0.813237 0.391634i 0.0290813 0.0140048i
\(783\) −0.401954 1.76108i −0.0143647 0.0629357i
\(784\) 6.09756 + 2.93643i 0.217770 + 0.104872i
\(785\) −0.627544 2.74945i −0.0223980 0.0981321i
\(786\) −0.467508 0.586236i −0.0166755 0.0209104i
\(787\) −4.91824 + 2.36850i −0.175316 + 0.0844279i −0.519483 0.854481i \(-0.673876\pi\)
0.344167 + 0.938908i \(0.388161\pi\)
\(788\) −5.83599 7.31810i −0.207898 0.260696i
\(789\) −0.110063 + 0.482219i −0.00391836 + 0.0171674i
\(790\) −6.76462 3.25767i −0.240674 0.115903i
\(791\) 2.12188 + 1.02184i 0.0754455 + 0.0363326i
\(792\) 4.05499 5.08480i 0.144088 0.180681i
\(793\) −1.45987 + 6.39610i −0.0518414 + 0.227132i
\(794\) 8.64661 + 37.8833i 0.306857 + 1.34443i
\(795\) 0.717380 0.899566i 0.0254429 0.0319043i
\(796\) 13.0245 16.3322i 0.461642 0.578881i
\(797\) −11.6075 50.8556i −0.411157 1.80140i −0.578710 0.815533i \(-0.696444\pi\)
0.167553 0.985863i \(-0.446414\pi\)
\(798\) 0.0353637 0.154938i 0.00125186 0.00548476i
\(799\) −1.53857 + 1.92931i −0.0544308 + 0.0682541i
\(800\) −0.900969 0.433884i −0.0318541 0.0153401i
\(801\) −40.4756 19.4920i −1.43013 0.688717i
\(802\) 4.09796 17.9543i 0.144704 0.633990i
\(803\) −1.38365 1.73504i −0.0488279 0.0612282i
\(804\) −0.544980 + 0.262449i −0.0192200 + 0.00925585i
\(805\) −1.02330 1.28318i −0.0360665 0.0452260i
\(806\) 1.26058 + 5.52295i 0.0444019 + 0.194538i
\(807\) −1.28007 0.616447i −0.0450605 0.0217000i
\(808\) 1.19758 + 5.24694i 0.0421307 + 0.184587i
\(809\) −45.1324 + 21.7346i −1.58677 + 0.764148i −0.998993 0.0448749i \(-0.985711\pi\)
−0.587777 + 0.809023i \(0.699997\pi\)
\(810\) 8.92536 0.313605
\(811\) 31.3229 1.09989 0.549947 0.835199i \(-0.314648\pi\)
0.549947 + 0.835199i \(0.314648\pi\)
\(812\) −1.43668 + 0.691866i −0.0504174 + 0.0242798i
\(813\) 0.114200 0.500345i 0.00400518 0.0175479i
\(814\) −9.20597 + 11.5439i −0.322669 + 0.404614i
\(815\) 7.41634 + 9.29980i 0.259783 + 0.325758i
\(816\) −0.0241460 −0.000845279
\(817\) 23.6612 + 1.88387i 0.827801 + 0.0659083i
\(818\) 28.1152 0.983024
\(819\) −1.12088 1.40554i −0.0391667 0.0491135i
\(820\) −0.298016 + 0.373701i −0.0104072 + 0.0130502i
\(821\) 11.4321 50.0875i 0.398985 1.74807i −0.232423 0.972615i \(-0.574665\pi\)
0.631408 0.775451i \(-0.282477\pi\)
\(822\) 0.295670 0.142387i 0.0103127 0.00496633i
\(823\) −43.7459 −1.52488 −0.762442 0.647056i \(-0.776000\pi\)
−0.762442 + 0.647056i \(0.776000\pi\)
\(824\) −2.17788 −0.0758701
\(825\) −0.178448 + 0.0859360i −0.00621276 + 0.00299191i
\(826\) 0.770398 + 3.37533i 0.0268056 + 0.117443i
\(827\) −20.1035 9.68131i −0.699066 0.336652i 0.0503690 0.998731i \(-0.483960\pi\)
−0.749435 + 0.662078i \(0.769675\pi\)
\(828\) −2.26730 9.93371i −0.0787942 0.345220i
\(829\) 4.67410 + 5.86113i 0.162338 + 0.203565i 0.856347 0.516401i \(-0.172729\pi\)
−0.694009 + 0.719966i \(0.744157\pi\)
\(830\) −5.63657 + 2.71443i −0.195648 + 0.0942192i
\(831\) −0.895963 1.12350i −0.0310806 0.0389739i
\(832\) −0.277479 + 1.21572i −0.00961986 + 0.0421473i
\(833\) 1.61600 + 0.778226i 0.0559912 + 0.0269639i
\(834\) 0.651604 + 0.313796i 0.0225632 + 0.0108659i
\(835\) −2.65918 + 3.33451i −0.0920249 + 0.115396i
\(836\) 1.75101 7.67168i 0.0605600 0.265331i
\(837\) 0.551847 + 2.41780i 0.0190746 + 0.0835714i
\(838\) 2.63501 3.30420i 0.0910250 0.114142i
\(839\) 18.1205 22.7224i 0.625590 0.784464i −0.363529 0.931583i \(-0.618428\pi\)
0.989119 + 0.147118i \(0.0469998\pi\)
\(840\) 0.00976972 + 0.0428039i 0.000337087 + 0.00147688i
\(841\) 4.01662 17.5980i 0.138504 0.606826i
\(842\) 14.9946 18.8026i 0.516748 0.647982i
\(843\) −0.191201 0.0920773i −0.00658530 0.00317131i
\(844\) −2.59670 1.25050i −0.0893820 0.0430441i
\(845\) 2.54676 11.1581i 0.0876113 0.383850i
\(846\) 17.3680 + 21.7788i 0.597124 + 0.748770i
\(847\) 2.72403 1.31183i 0.0935989 0.0450749i
\(848\) −7.87391 9.87357i −0.270391 0.339060i
\(849\) −0.0906246 0.397052i −0.00311023 0.0136268i
\(850\) −0.238779 0.114990i −0.00819005 0.00394412i
\(851\) 5.14741 + 22.5523i 0.176451 + 0.773082i
\(852\) −0.429841 + 0.207001i −0.0147261 + 0.00709172i
\(853\) 33.6887 1.15348 0.576739 0.816929i \(-0.304325\pi\)
0.576739 + 0.816929i \(0.304325\pi\)
\(854\) 2.53534 0.0867574
\(855\) 9.75670 4.69858i 0.333672 0.160688i
\(856\) −2.37618 + 10.4107i −0.0812161 + 0.355831i
\(857\) −18.3983 + 23.0708i −0.628475 + 0.788082i −0.989509 0.144470i \(-0.953852\pi\)
0.361035 + 0.932552i \(0.382424\pi\)
\(858\) 0.153989 + 0.193096i 0.00525711 + 0.00659220i
\(859\) 42.3402 1.44463 0.722315 0.691565i \(-0.243078\pi\)
0.722315 + 0.691565i \(0.243078\pi\)
\(860\) −6.11522 + 2.36728i −0.208527 + 0.0807237i
\(861\) 0.0209856 0.000715188
\(862\) 0.468051 + 0.586918i 0.0159419 + 0.0199905i
\(863\) −17.0708 + 21.4061i −0.581097 + 0.728673i −0.982300 0.187317i \(-0.940021\pi\)
0.401202 + 0.915989i \(0.368592\pi\)
\(864\) −0.121473 + 0.532208i −0.00413260 + 0.0181061i
\(865\) −3.59598 + 1.73173i −0.122267 + 0.0588807i
\(866\) −13.5001 −0.458753
\(867\) 1.54245 0.0523842
\(868\) 1.97243 0.949871i 0.0669486 0.0322407i
\(869\) 3.63201 + 15.9129i 0.123208 + 0.539808i
\(870\) 0.271622 + 0.130806i 0.00920886 + 0.00443475i
\(871\) 1.84222 + 8.07130i 0.0624213 + 0.273486i
\(872\) −2.15319 2.70001i −0.0729161 0.0914339i
\(873\) 11.3324 5.45739i 0.383543 0.184705i
\(874\) −7.68644 9.63849i −0.259998 0.326027i
\(875\) −0.107232 + 0.469813i −0.00362509 + 0.0158826i
\(876\) 0.0837958 + 0.0403539i 0.00283120 + 0.00136343i
\(877\) −24.0295 11.5720i −0.811417 0.390758i −0.0183044 0.999832i \(-0.505827\pi\)
−0.793113 + 0.609074i \(0.791541\pi\)
\(878\) 17.2634 21.6476i 0.582612 0.730572i
\(879\) −0.382138 + 1.67426i −0.0128892 + 0.0564713i
\(880\) 0.483742 + 2.11941i 0.0163069 + 0.0714454i
\(881\) 8.77894 11.0084i 0.295770 0.370884i −0.611636 0.791139i \(-0.709488\pi\)
0.907406 + 0.420256i \(0.138060\pi\)
\(882\) 12.6239 15.8299i 0.425069 0.533019i
\(883\) 0.468839 + 2.05412i 0.0157777 + 0.0691266i 0.982204 0.187818i \(-0.0601414\pi\)
−0.966426 + 0.256944i \(0.917284\pi\)
\(884\) −0.0735388 + 0.322195i −0.00247338 + 0.0108366i
\(885\) 0.408113 0.511757i 0.0137186 0.0172025i
\(886\) 32.1795 + 15.4968i 1.08109 + 0.520626i
\(887\) −42.1858 20.3156i −1.41646 0.682132i −0.440034 0.897981i \(-0.645034\pi\)
−0.976427 + 0.215849i \(0.930748\pi\)
\(888\) 0.137698 0.603294i 0.00462084 0.0202452i
\(889\) −3.24541 4.06961i −0.108847 0.136490i
\(890\) 13.5293 6.51537i 0.453503 0.218396i
\(891\) −12.0976 15.1699i −0.405284 0.508210i
\(892\) −1.89786 8.31505i −0.0635449 0.278409i
\(893\) 30.3660 + 14.6235i 1.01616 + 0.489357i
\(894\) −0.471106 2.06405i −0.0157562 0.0690322i
\(895\) 7.82745 3.76950i 0.261643 0.126001i
\(896\) 0.481895 0.0160990
\(897\) 0.386936 0.0129194
\(898\) −7.02484 + 3.38299i −0.234422 + 0.112892i
\(899\) 3.34508 14.6558i 0.111565 0.488797i
\(900\) −1.86529 + 2.33900i −0.0621765 + 0.0779668i
\(901\) −2.08678 2.61674i −0.0695208 0.0871763i
\(902\) 1.03909 0.0345980
\(903\) 0.248659 + 0.145109i 0.00827484 + 0.00482894i
\(904\) −4.88719 −0.162546
\(905\) −2.02007 2.53308i −0.0671492 0.0842025i
\(906\) −0.440494 + 0.552362i −0.0146344 + 0.0183510i
\(907\) 7.54583 33.0604i 0.250555 1.09775i −0.680463 0.732782i \(-0.738222\pi\)
0.931019 0.364972i \(-0.118921\pi\)
\(908\) 19.0161 9.15769i 0.631073 0.303909i
\(909\) 16.1009 0.534035
\(910\) 0.600913 0.0199201
\(911\) −27.2297 + 13.1131i −0.902159 + 0.434457i −0.826668 0.562690i \(-0.809767\pi\)
−0.0754906 + 0.997147i \(0.524052\pi\)
\(912\) 0.0733846 + 0.321519i 0.00243001 + 0.0106466i
\(913\) 12.2534 + 5.90094i 0.405529 + 0.195293i
\(914\) −2.78854 12.2174i −0.0922367 0.404115i
\(915\) −0.298863 0.374762i −0.00988009 0.0123892i
\(916\) 2.20506 1.06190i 0.0728574 0.0350863i
\(917\) 2.47276 + 3.10074i 0.0816578 + 0.102396i
\(918\) −0.0321934 + 0.141048i −0.00106254 + 0.00465529i
\(919\) 23.3432 + 11.2415i 0.770022 + 0.370823i 0.777284 0.629150i \(-0.216597\pi\)
−0.00726126 + 0.999974i \(0.502311\pi\)
\(920\) 3.06853 + 1.47773i 0.101166 + 0.0487192i
\(921\) 1.23629 1.55025i 0.0407370 0.0510826i
\(922\) 9.29224 40.7120i 0.306024 1.34078i
\(923\) 1.45301 + 6.36607i 0.0478265 + 0.209542i
\(924\) 0.0595091 0.0746220i 0.00195771 0.00245488i
\(925\) 4.23474 5.31019i 0.139237 0.174598i
\(926\) −5.73460 25.1249i −0.188451 0.825657i
\(927\) −1.44985 + 6.35220i −0.0476193 + 0.208634i
\(928\) 2.06313 2.58708i 0.0677255 0.0849250i
\(929\) −48.0741 23.1513i −1.57726 0.759569i −0.578824 0.815453i \(-0.696488\pi\)
−0.998437 + 0.0558838i \(0.982202\pi\)
\(930\) −0.372913 0.179586i −0.0122283 0.00588884i
\(931\) 5.45120 23.8833i 0.178656 0.782742i
\(932\) −0.0582865 0.0730889i −0.00190924 0.00239411i
\(933\) −2.39787 + 1.15475i −0.0785026 + 0.0378048i
\(934\) 3.36393 + 4.21824i 0.110071 + 0.138025i
\(935\) 0.128204 + 0.561697i 0.00419271 + 0.0183694i
\(936\) 3.36114 + 1.61864i 0.109862 + 0.0529070i
\(937\) −8.73613 38.2755i −0.285397 1.25041i −0.890767 0.454461i \(-0.849832\pi\)
0.605370 0.795944i \(-0.293025\pi\)
\(938\) 2.88253 1.38815i 0.0941179 0.0453248i
\(939\) 0.795404 0.0259570
\(940\) −9.31114 −0.303696
\(941\) −15.5291 + 7.47843i −0.506235 + 0.243790i −0.669527 0.742788i \(-0.733503\pi\)
0.163292 + 0.986578i \(0.447789\pi\)
\(942\) 0.0571746 0.250498i 0.00186285 0.00816168i
\(943\) 1.01499 1.27276i 0.0330526 0.0414466i
\(944\) −4.47941 5.61701i −0.145793 0.182818i
\(945\) 0.263064 0.00855747
\(946\) 12.3122 + 7.18500i 0.400304 + 0.233605i
\(947\) 0.729329 0.0237000 0.0118500 0.999930i \(-0.496228\pi\)
0.0118500 + 0.999930i \(0.496228\pi\)
\(948\) −0.426503 0.534818i −0.0138522 0.0173701i
\(949\) 0.793674 0.995235i 0.0257637 0.0323067i
\(950\) −0.805464 + 3.52897i −0.0261327 + 0.114495i
\(951\) −1.98999 + 0.958330i −0.0645299 + 0.0310760i
\(952\) 0.127714 0.00413924
\(953\) −26.3729 −0.854302 −0.427151 0.904180i \(-0.640483\pi\)
−0.427151 + 0.904180i \(0.640483\pi\)
\(954\) −34.0399 + 16.3928i −1.10208 + 0.530736i
\(955\) −3.35967 14.7197i −0.108717 0.476318i
\(956\) −6.75029 3.25077i −0.218320 0.105137i
\(957\) −0.145838 0.638956i −0.00471426 0.0206545i
\(958\) −9.07023 11.3737i −0.293046 0.367468i
\(959\) −1.56387 + 0.753121i −0.0505000 + 0.0243195i
\(960\) −0.0568052 0.0712315i −0.00183338 0.00229899i
\(961\) 2.30565 10.1017i 0.0743757 0.325861i
\(962\) −7.63073 3.67477i −0.246025 0.118479i
\(963\) 28.7830 + 13.8612i 0.927519 + 0.446669i
\(964\) 2.21384 2.77607i 0.0713030 0.0894111i
\(965\) 1.57356 6.89423i 0.0506548 0.221933i
\(966\) −0.0332738 0.145782i −0.00107057 0.00469047i
\(967\) 36.2998 45.5185i 1.16732 1.46378i 0.308708 0.951157i \(-0.400103\pi\)
0.858615 0.512621i \(-0.171325\pi\)
\(968\) −3.91183 + 4.90528i −0.125731 + 0.157662i
\(969\) 0.0194487 + 0.0852105i 0.000624783 + 0.00273735i
\(970\) −0.935545 + 4.09889i −0.0300385 + 0.131607i
\(971\) −6.91628 + 8.67274i −0.221954 + 0.278321i −0.880324 0.474373i \(-0.842675\pi\)
0.658370 + 0.752694i \(0.271246\pi\)
\(972\) 2.20815 + 1.06339i 0.0708264 + 0.0341082i
\(973\) −3.44649 1.65974i −0.110489 0.0532089i
\(974\) −3.33586 + 14.6153i −0.106888 + 0.468306i
\(975\) −0.0708350 0.0888242i −0.00226853 0.00284465i
\(976\) −4.74016 + 2.28274i −0.151729 + 0.0730688i
\(977\) −29.2784 36.7140i −0.936700 1.17458i −0.984439 0.175725i \(-0.943773\pi\)
0.0477390 0.998860i \(-0.484798\pi\)
\(978\) 0.241152 + 1.05655i 0.00771118 + 0.0337849i
\(979\) −29.4116 14.1639i −0.939997 0.452679i
\(980\) 1.50597 + 6.59810i 0.0481065 + 0.210768i
\(981\) −9.30851 + 4.48274i −0.297198 + 0.143123i
\(982\) −15.6725 −0.500129
\(983\) 1.88161 0.0600139 0.0300070 0.999550i \(-0.490447\pi\)
0.0300070 + 0.999550i \(0.490447\pi\)
\(984\) −0.0392355 + 0.0188948i −0.00125078 + 0.000602346i
\(985\) 2.08284 9.12552i 0.0663648 0.290763i
\(986\) 0.546780 0.685640i 0.0174130 0.0218352i
\(987\) 0.254884 + 0.319615i 0.00811306 + 0.0101735i
\(988\) 4.51372 0.143600
\(989\) 20.8273 8.06253i 0.662270 0.256374i
\(990\) 6.50370 0.206701
\(991\) 26.1599 + 32.8034i 0.830996 + 1.04204i 0.998422 + 0.0561512i \(0.0178829\pi\)
−0.167426 + 0.985885i \(0.553546\pi\)
\(992\) −2.83249 + 3.55183i −0.0899317 + 0.112771i
\(993\) −0.480228 + 2.10402i −0.0152396 + 0.0667689i
\(994\) 2.27353 1.09488i 0.0721121 0.0347274i
\(995\) 20.8897 0.662248
\(996\) −0.569986 −0.0180607
\(997\) 19.4134 9.34900i 0.614829 0.296086i −0.100432 0.994944i \(-0.532022\pi\)
0.715260 + 0.698858i \(0.246308\pi\)
\(998\) 1.26478 + 5.54135i 0.0400358 + 0.175408i
\(999\) −3.34053 1.60872i −0.105690 0.0508975i
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 430.2.k.a.11.2 12
43.4 even 7 inner 430.2.k.a.391.2 yes 12
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
430.2.k.a.11.2 12 1.1 even 1 trivial
430.2.k.a.391.2 yes 12 43.4 even 7 inner