Properties

Label 483.2.y.b.331.7
Level $483$
Weight $2$
Character 483.331
Analytic conductor $3.857$
Analytic rank $0$
Dimension $320$
CM no
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [483,2,Mod(4,483)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(483, base_ring=CyclotomicField(66))
 
chi = DirichletCharacter(H, H._module([0, 44, 12]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("483.4");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.y (of order \(33\), degree \(20\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(320\)
Relative dimension: \(16\) over \(\Q(\zeta_{33})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{33}]$

Embedding invariants

Embedding label 331.7
Character \(\chi\) \(=\) 483.331
Dual form 483.2.y.b.340.7

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.0723730 + 0.298326i) q^{2} +(-0.327068 + 0.945001i) q^{3} +(1.69391 + 0.873272i) q^{4} +(-2.45688 - 0.983585i) q^{5} +(-0.258247 - 0.165965i) q^{6} +(2.62235 - 0.351096i) q^{7} +(-0.785169 + 0.906134i) q^{8} +(-0.786053 - 0.618159i) q^{9} +O(q^{10})\) \(q+(-0.0723730 + 0.298326i) q^{2} +(-0.327068 + 0.945001i) q^{3} +(1.69391 + 0.873272i) q^{4} +(-2.45688 - 0.983585i) q^{5} +(-0.258247 - 0.165965i) q^{6} +(2.62235 - 0.351096i) q^{7} +(-0.785169 + 0.906134i) q^{8} +(-0.786053 - 0.618159i) q^{9} +(0.471240 - 0.661764i) q^{10} +(0.477956 + 1.97016i) q^{11} +(-1.37927 + 1.31513i) q^{12} +(1.94718 + 4.26374i) q^{13} +(-0.0850467 + 0.807725i) q^{14} +(1.73305 - 2.00005i) q^{15} +(1.99741 + 2.80496i) q^{16} +(0.115949 - 2.43407i) q^{17} +(0.241302 - 0.189762i) q^{18} +(0.130356 + 2.73652i) q^{19} +(-3.30279 - 3.81163i) q^{20} +(-0.525902 + 2.59296i) q^{21} -0.622340 q^{22} +(-0.778571 + 4.73221i) q^{23} +(-0.599493 - 1.03835i) q^{24} +(1.45013 + 1.38270i) q^{25} +(-1.41291 + 0.272315i) q^{26} +(0.841254 - 0.540641i) q^{27} +(4.74863 + 1.69530i) q^{28} +(6.42397 + 4.12844i) q^{29} +(0.471240 + 0.661764i) q^{30} +(-5.74055 - 1.10640i) q^{31} +(-3.20755 + 1.28411i) q^{32} +(-2.01813 - 0.192708i) q^{33} +(0.717754 + 0.210751i) q^{34} +(-6.78813 - 1.71671i) q^{35} +(-0.791683 - 1.73354i) q^{36} +(-6.70470 - 5.27263i) q^{37} +(-0.825808 - 0.159161i) q^{38} +(-4.66610 + 0.445558i) q^{39} +(2.82032 - 1.45398i) q^{40} +(-0.609770 - 4.24104i) q^{41} +(-0.735484 - 0.344550i) q^{42} +(2.70855 + 3.12583i) q^{43} +(-0.910871 + 3.75466i) q^{44} +(1.32322 + 2.29189i) q^{45} +(-1.35539 - 0.574752i) q^{46} +(-3.20703 + 5.55474i) q^{47} +(-3.30398 + 0.970136i) q^{48} +(6.75346 - 1.84139i) q^{49} +(-0.517445 + 0.332542i) q^{50} +(2.26227 + 0.905678i) q^{51} +(-0.425046 + 8.92282i) q^{52} +(13.3768 - 1.27733i) q^{53} +(0.100403 + 0.290095i) q^{54} +(0.763542 - 5.31055i) q^{55} +(-1.74085 + 2.65187i) q^{56} +(-2.62865 - 0.771841i) q^{57} +(-1.69654 + 1.61765i) q^{58} +(-0.152616 + 0.214319i) q^{59} +(4.68223 - 1.87448i) q^{60} +(-4.13750 - 11.9545i) q^{61} +(0.745528 - 1.63248i) q^{62} +(-2.27834 - 1.34505i) q^{63} +(0.829169 + 5.76700i) q^{64} +(-0.590242 - 12.3907i) q^{65} +(0.203548 - 0.588112i) q^{66} +(4.56350 + 4.35129i) q^{67} +(2.32201 - 4.02184i) q^{68} +(-4.21730 - 2.28351i) q^{69} +(1.00341 - 1.90083i) q^{70} +(8.92155 - 2.61960i) q^{71} +(1.17732 - 0.226910i) q^{72} +(-6.83329 - 3.52281i) q^{73} +(2.05820 - 1.61859i) q^{74} +(-1.78094 + 0.918140i) q^{75} +(-2.16891 + 4.74925i) q^{76} +(1.94508 + 4.99865i) q^{77} +(0.204778 - 1.42426i) q^{78} +(6.29604 + 0.601199i) q^{79} +(-2.14846 - 8.85607i) q^{80} +(0.235759 + 0.971812i) q^{81} +(1.30934 + 0.125027i) q^{82} +(0.656144 - 4.56358i) q^{83} +(-3.15519 + 3.93298i) q^{84} +(-2.67899 + 5.86616i) q^{85} +(-1.12854 + 0.581803i) q^{86} +(-6.00245 + 4.72038i) q^{87} +(-2.16051 - 1.11382i) q^{88} +(5.28148 - 1.01792i) q^{89} +(-0.779495 + 0.228880i) q^{90} +(6.60319 + 10.4974i) q^{91} +(-5.45134 + 7.33604i) q^{92} +(2.92310 - 5.06295i) q^{93} +(-1.42502 - 1.35875i) q^{94} +(2.37133 - 6.85151i) q^{95} +(-0.164398 - 3.45113i) q^{96} +(-0.122213 - 0.850010i) q^{97} +(0.0605664 + 2.14800i) q^{98} +(0.842174 - 1.84410i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 320 q + 2 q^{2} + 16 q^{3} + 18 q^{4} - 2 q^{5} + 18 q^{6} + 2 q^{7} - 12 q^{8} + 16 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 320 q + 2 q^{2} + 16 q^{3} + 18 q^{4} - 2 q^{5} + 18 q^{6} + 2 q^{7} - 12 q^{8} + 16 q^{9} + 2 q^{11} + 18 q^{12} + 18 q^{14} - 18 q^{15} - 8 q^{16} + 4 q^{17} + 2 q^{18} + 8 q^{19} - 162 q^{20} - 4 q^{21} + 144 q^{22} - 26 q^{23} + 6 q^{24} - 8 q^{25} - 14 q^{26} - 32 q^{27} + 86 q^{28} - 74 q^{29} - 56 q^{31} - 28 q^{32} + 13 q^{33} + 40 q^{34} - 32 q^{35} - 14 q^{36} + 2 q^{37} - 39 q^{38} - 52 q^{40} + 60 q^{41} - 61 q^{42} + 16 q^{43} - 75 q^{44} - 2 q^{45} - 4 q^{46} - 40 q^{47} - 28 q^{48} - 100 q^{49} + 146 q^{50} - 18 q^{51} - 18 q^{52} + 34 q^{53} + 2 q^{54} + 36 q^{55} - 102 q^{56} + 28 q^{57} - 17 q^{58} - 102 q^{59} - 18 q^{60} - 18 q^{61} - 88 q^{62} + 2 q^{63} - 252 q^{64} - 78 q^{65} + 16 q^{66} + 12 q^{67} + 34 q^{68} + 8 q^{69} + 264 q^{70} + 160 q^{71} + 6 q^{72} - 8 q^{73} + 70 q^{74} + 14 q^{75} - 40 q^{76} - 90 q^{77} - 16 q^{78} + 26 q^{79} - 103 q^{80} + 16 q^{81} - 30 q^{82} - 80 q^{83} - 52 q^{84} - 128 q^{85} + 90 q^{86} + 4 q^{87} - 293 q^{88} - 36 q^{89} + 16 q^{91} - 174 q^{92} + 32 q^{93} + 57 q^{94} - 85 q^{95} - 50 q^{96} - 8 q^{97} - 193 q^{98} - 26 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{5}{11}\right)\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.0723730 + 0.298326i −0.0511754 + 0.210948i −0.991659 0.128892i \(-0.958858\pi\)
0.940483 + 0.339840i \(0.110373\pi\)
\(3\) −0.327068 + 0.945001i −0.188833 + 0.545596i
\(4\) 1.69391 + 0.873272i 0.846955 + 0.436636i
\(5\) −2.45688 0.983585i −1.09875 0.439873i −0.249773 0.968304i \(-0.580356\pi\)
−0.848976 + 0.528432i \(0.822780\pi\)
\(6\) −0.258247 0.165965i −0.105429 0.0677550i
\(7\) 2.62235 0.351096i 0.991156 0.132702i
\(8\) −0.785169 + 0.906134i −0.277599 + 0.320367i
\(9\) −0.786053 0.618159i −0.262018 0.206053i
\(10\) 0.471240 0.661764i 0.149019 0.209268i
\(11\) 0.477956 + 1.97016i 0.144109 + 0.594026i 0.997366 + 0.0725348i \(0.0231088\pi\)
−0.853257 + 0.521491i \(0.825376\pi\)
\(12\) −1.37927 + 1.31513i −0.398160 + 0.379645i
\(13\) 1.94718 + 4.26374i 0.540052 + 1.18255i 0.961275 + 0.275592i \(0.0888737\pi\)
−0.421223 + 0.906957i \(0.638399\pi\)
\(14\) −0.0850467 + 0.807725i −0.0227297 + 0.215873i
\(15\) 1.73305 2.00005i 0.447473 0.516411i
\(16\) 1.99741 + 2.80496i 0.499351 + 0.701241i
\(17\) 0.115949 2.43407i 0.0281218 0.590349i −0.940197 0.340631i \(-0.889359\pi\)
0.968319 0.249717i \(-0.0803377\pi\)
\(18\) 0.241302 0.189762i 0.0568753 0.0447273i
\(19\) 0.130356 + 2.73652i 0.0299058 + 0.627800i 0.963216 + 0.268729i \(0.0866036\pi\)
−0.933310 + 0.359072i \(0.883093\pi\)
\(20\) −3.30279 3.81163i −0.738527 0.852305i
\(21\) −0.525902 + 2.59296i −0.114761 + 0.565830i
\(22\) −0.622340 −0.132683
\(23\) −0.778571 + 4.73221i −0.162343 + 0.986734i
\(24\) −0.599493 1.03835i −0.122371 0.211953i
\(25\) 1.45013 + 1.38270i 0.290027 + 0.276540i
\(26\) −1.41291 + 0.272315i −0.277094 + 0.0534054i
\(27\) 0.841254 0.540641i 0.161899 0.104046i
\(28\) 4.74863 + 1.69530i 0.897407 + 0.320382i
\(29\) 6.42397 + 4.12844i 1.19290 + 0.766632i 0.977714 0.209941i \(-0.0673272\pi\)
0.215188 + 0.976573i \(0.430964\pi\)
\(30\) 0.471240 + 0.661764i 0.0860363 + 0.120821i
\(31\) −5.74055 1.10640i −1.03103 0.198715i −0.354445 0.935077i \(-0.615330\pi\)
−0.676588 + 0.736362i \(0.736542\pi\)
\(32\) −3.20755 + 1.28411i −0.567021 + 0.227001i
\(33\) −2.01813 0.192708i −0.351311 0.0335461i
\(34\) 0.717754 + 0.210751i 0.123094 + 0.0361436i
\(35\) −6.78813 1.71671i −1.14740 0.290177i
\(36\) −0.791683 1.73354i −0.131947 0.288924i
\(37\) −6.70470 5.27263i −1.10225 0.866815i −0.110352 0.993893i \(-0.535198\pi\)
−0.991893 + 0.127077i \(0.959440\pi\)
\(38\) −0.825808 0.159161i −0.133964 0.0258194i
\(39\) −4.66610 + 0.445558i −0.747174 + 0.0713465i
\(40\) 2.82032 1.45398i 0.445932 0.229894i
\(41\) −0.609770 4.24104i −0.0952301 0.662340i −0.980392 0.197057i \(-0.936862\pi\)
0.885162 0.465283i \(-0.154047\pi\)
\(42\) −0.735484 0.344550i −0.113488 0.0531652i
\(43\) 2.70855 + 3.12583i 0.413050 + 0.476685i 0.923707 0.383099i \(-0.125143\pi\)
−0.510657 + 0.859784i \(0.670598\pi\)
\(44\) −0.910871 + 3.75466i −0.137319 + 0.566037i
\(45\) 1.32322 + 2.29189i 0.197255 + 0.341655i
\(46\) −1.35539 0.574752i −0.199842 0.0847426i
\(47\) −3.20703 + 5.55474i −0.467793 + 0.810242i −0.999323 0.0367982i \(-0.988284\pi\)
0.531530 + 0.847040i \(0.321617\pi\)
\(48\) −3.30398 + 0.970136i −0.476888 + 0.140027i
\(49\) 6.75346 1.84139i 0.964780 0.263056i
\(50\) −0.517445 + 0.332542i −0.0731778 + 0.0470285i
\(51\) 2.26227 + 0.905678i 0.316782 + 0.126820i
\(52\) −0.425046 + 8.92282i −0.0589433 + 1.23737i
\(53\) 13.3768 1.27733i 1.83744 0.175455i 0.882121 0.471022i \(-0.156115\pi\)
0.955322 + 0.295568i \(0.0955089\pi\)
\(54\) 0.100403 + 0.290095i 0.0136631 + 0.0394770i
\(55\) 0.763542 5.31055i 0.102956 0.716075i
\(56\) −1.74085 + 2.65187i −0.232631 + 0.354371i
\(57\) −2.62865 0.771841i −0.348173 0.102233i
\(58\) −1.69654 + 1.61765i −0.222767 + 0.212408i
\(59\) −0.152616 + 0.214319i −0.0198689 + 0.0279020i −0.824391 0.566021i \(-0.808482\pi\)
0.804522 + 0.593923i \(0.202422\pi\)
\(60\) 4.68223 1.87448i 0.604473 0.241994i
\(61\) −4.13750 11.9545i −0.529753 1.53062i −0.819247 0.573441i \(-0.805608\pi\)
0.289494 0.957180i \(-0.406513\pi\)
\(62\) 0.745528 1.63248i 0.0946822 0.207325i
\(63\) −2.27834 1.34505i −0.287044 0.169460i
\(64\) 0.829169 + 5.76700i 0.103646 + 0.720875i
\(65\) −0.590242 12.3907i −0.0732105 1.53688i
\(66\) 0.203548 0.588112i 0.0250550 0.0723916i
\(67\) 4.56350 + 4.35129i 0.557520 + 0.531594i 0.915597 0.402098i \(-0.131719\pi\)
−0.358077 + 0.933692i \(0.616567\pi\)
\(68\) 2.32201 4.02184i 0.281585 0.487720i
\(69\) −4.21730 2.28351i −0.507703 0.274902i
\(70\) 1.00341 1.90083i 0.119931 0.227193i
\(71\) 8.92155 2.61960i 1.05879 0.310890i 0.294428 0.955674i \(-0.404871\pi\)
0.764365 + 0.644784i \(0.223053\pi\)
\(72\) 1.17732 0.226910i 0.138748 0.0267416i
\(73\) −6.83329 3.52281i −0.799776 0.412313i 0.00934393 0.999956i \(-0.497026\pi\)
−0.809120 + 0.587643i \(0.800056\pi\)
\(74\) 2.05820 1.61859i 0.239261 0.188157i
\(75\) −1.78094 + 0.918140i −0.205646 + 0.106018i
\(76\) −2.16891 + 4.74925i −0.248791 + 0.544777i
\(77\) 1.94508 + 4.99865i 0.221663 + 0.569649i
\(78\) 0.204778 1.42426i 0.0231866 0.161266i
\(79\) 6.29604 + 0.601199i 0.708360 + 0.0676402i 0.443016 0.896514i \(-0.353908\pi\)
0.265344 + 0.964154i \(0.414514\pi\)
\(80\) −2.14846 8.85607i −0.240205 0.990138i
\(81\) 0.235759 + 0.971812i 0.0261954 + 0.107979i
\(82\) 1.30934 + 0.125027i 0.144593 + 0.0138069i
\(83\) 0.656144 4.56358i 0.0720212 0.500918i −0.921599 0.388143i \(-0.873117\pi\)
0.993620 0.112776i \(-0.0359741\pi\)
\(84\) −3.15519 + 3.93298i −0.344259 + 0.429124i
\(85\) −2.67899 + 5.86616i −0.290577 + 0.636275i
\(86\) −1.12854 + 0.581803i −0.121694 + 0.0627375i
\(87\) −6.00245 + 4.72038i −0.643531 + 0.506078i
\(88\) −2.16051 1.11382i −0.230311 0.118733i
\(89\) 5.28148 1.01792i 0.559836 0.107900i 0.0985193 0.995135i \(-0.468589\pi\)
0.461317 + 0.887236i \(0.347377\pi\)
\(90\) −0.779495 + 0.228880i −0.0821660 + 0.0241261i
\(91\) 6.60319 + 10.4974i 0.692202 + 1.10042i
\(92\) −5.45134 + 7.33604i −0.568341 + 0.764835i
\(93\) 2.92310 5.06295i 0.303111 0.525004i
\(94\) −1.42502 1.35875i −0.146979 0.140145i
\(95\) 2.37133 6.85151i 0.243293 0.702950i
\(96\) −0.164398 3.45113i −0.0167788 0.352230i
\(97\) −0.122213 0.850010i −0.0124088 0.0863054i 0.982676 0.185332i \(-0.0593361\pi\)
−0.995085 + 0.0990268i \(0.968427\pi\)
\(98\) 0.0605664 + 2.14800i 0.00611813 + 0.216981i
\(99\) 0.842174 1.84410i 0.0846417 0.185339i
\(100\) 1.24892 + 3.60853i 0.124892 + 0.360853i
\(101\) −3.22085 + 1.28943i −0.320486 + 0.128303i −0.526327 0.850282i \(-0.676431\pi\)
0.205841 + 0.978585i \(0.434007\pi\)
\(102\) −0.433914 + 0.609348i −0.0429639 + 0.0603344i
\(103\) 11.0821 10.5668i 1.09195 1.04118i 0.0929903 0.995667i \(-0.470357\pi\)
0.998964 0.0455092i \(-0.0144910\pi\)
\(104\) −5.39239 1.58335i −0.528767 0.155260i
\(105\) 3.84247 5.85331i 0.374987 0.571224i
\(106\) −0.587059 + 4.08308i −0.0570202 + 0.396584i
\(107\) −5.85031 16.9034i −0.565571 1.63411i −0.757598 0.652721i \(-0.773627\pi\)
0.192027 0.981390i \(-0.438494\pi\)
\(108\) 1.89713 0.181154i 0.182552 0.0174316i
\(109\) 0.480883 10.0950i 0.0460603 0.966924i −0.851041 0.525099i \(-0.824028\pi\)
0.897101 0.441825i \(-0.145669\pi\)
\(110\) 1.52901 + 0.612125i 0.145786 + 0.0583638i
\(111\) 7.17553 4.61143i 0.681071 0.437698i
\(112\) 6.22271 + 6.65432i 0.587991 + 0.628774i
\(113\) −14.5398 + 4.26927i −1.36779 + 0.401619i −0.881502 0.472181i \(-0.843467\pi\)
−0.486286 + 0.873799i \(0.661649\pi\)
\(114\) 0.420503 0.728332i 0.0393837 0.0682146i
\(115\) 6.56739 10.8607i 0.612412 1.01276i
\(116\) 7.27639 + 12.6031i 0.675596 + 1.17017i
\(117\) 1.10508 4.55520i 0.102165 0.421128i
\(118\) −0.0528917 0.0610403i −0.00486907 0.00561921i
\(119\) −0.550532 6.42370i −0.0504672 0.588859i
\(120\) 0.451573 + 3.14076i 0.0412228 + 0.286711i
\(121\) 6.12410 3.15719i 0.556736 0.287017i
\(122\) 3.86579 0.369138i 0.349992 0.0334202i
\(123\) 4.20723 + 0.810877i 0.379353 + 0.0731143i
\(124\) −8.75779 6.88720i −0.786473 0.618489i
\(125\) 3.29407 + 7.21301i 0.294631 + 0.645152i
\(126\) 0.566153 0.582342i 0.0504370 0.0518792i
\(127\) −19.7270 5.79238i −1.75049 0.513991i −0.759804 0.650152i \(-0.774705\pi\)
−0.990687 + 0.136161i \(0.956524\pi\)
\(128\) −8.65925 0.826858i −0.765377 0.0730846i
\(129\) −3.83979 + 1.53722i −0.338075 + 0.135345i
\(130\) 3.73918 + 0.720668i 0.327948 + 0.0632068i
\(131\) −2.57099 3.61044i −0.224628 0.315446i 0.686846 0.726803i \(-0.258994\pi\)
−0.911474 + 0.411357i \(0.865055\pi\)
\(132\) −3.25024 2.08880i −0.282897 0.181807i
\(133\) 1.30262 + 7.13035i 0.112952 + 0.618280i
\(134\) −1.62837 + 1.04649i −0.140670 + 0.0904032i
\(135\) −2.59862 + 0.500843i −0.223654 + 0.0431057i
\(136\) 2.11455 + 2.01622i 0.181321 + 0.172890i
\(137\) −5.30754 9.19292i −0.453453 0.785404i 0.545144 0.838342i \(-0.316475\pi\)
−0.998598 + 0.0529378i \(0.983141\pi\)
\(138\) 0.986446 1.09286i 0.0839719 0.0930307i
\(139\) 19.8274 1.68174 0.840868 0.541240i \(-0.182045\pi\)
0.840868 + 0.541240i \(0.182045\pi\)
\(140\) −9.99933 8.83583i −0.845098 0.746764i
\(141\) −4.20031 4.84742i −0.353730 0.408227i
\(142\) 0.135815 + 2.85112i 0.0113974 + 0.239260i
\(143\) −7.46958 + 5.87415i −0.624638 + 0.491221i
\(144\) 0.163847 3.43956i 0.0136539 0.286630i
\(145\) −11.7222 16.4616i −0.973479 1.36706i
\(146\) 1.54549 1.78359i 0.127906 0.147611i
\(147\) −0.468723 + 6.98429i −0.0386596 + 0.576054i
\(148\) −6.75272 14.7864i −0.555070 1.21543i
\(149\) −1.41775 + 1.35182i −0.116146 + 0.110745i −0.745927 0.666028i \(-0.767993\pi\)
0.629781 + 0.776773i \(0.283145\pi\)
\(150\) −0.145012 0.597750i −0.0118402 0.0488061i
\(151\) 8.22916 11.5562i 0.669680 0.940434i −0.330314 0.943871i \(-0.607155\pi\)
0.999994 + 0.00343744i \(0.00109417\pi\)
\(152\) −2.58200 2.03051i −0.209428 0.164696i
\(153\) −1.59578 + 1.84163i −0.129011 + 0.148887i
\(154\) −1.63200 + 0.218501i −0.131510 + 0.0176073i
\(155\) 13.0156 + 8.36461i 1.04544 + 0.671861i
\(156\) −8.29305 3.32004i −0.663975 0.265816i
\(157\) 3.78535 + 1.95148i 0.302104 + 0.155745i 0.602613 0.798034i \(-0.294126\pi\)
−0.300509 + 0.953779i \(0.597157\pi\)
\(158\) −0.635017 + 1.83476i −0.0505192 + 0.145966i
\(159\) −3.16804 + 13.0588i −0.251242 + 1.03563i
\(160\) 9.14359 0.722864
\(161\) −0.380228 + 12.6829i −0.0299661 + 0.999551i
\(162\) −0.306979 −0.0241185
\(163\) −2.44657 + 10.0849i −0.191630 + 0.789911i 0.792119 + 0.610366i \(0.208978\pi\)
−0.983750 + 0.179545i \(0.942537\pi\)
\(164\) 2.67069 7.71645i 0.208546 0.602553i
\(165\) 4.76875 + 2.45846i 0.371246 + 0.191391i
\(166\) 1.31395 + 0.526025i 0.101982 + 0.0408274i
\(167\) −7.48917 4.81300i −0.579529 0.372441i 0.217793 0.975995i \(-0.430114\pi\)
−0.797322 + 0.603554i \(0.793751\pi\)
\(168\) −1.93664 2.51245i −0.149415 0.193840i
\(169\) −5.87476 + 6.77983i −0.451905 + 0.521526i
\(170\) −1.55614 1.22376i −0.119350 0.0938583i
\(171\) 1.58914 2.23163i 0.121524 0.170657i
\(172\) 1.85834 + 7.66018i 0.141697 + 0.584083i
\(173\) 2.42144 2.30883i 0.184098 0.175537i −0.592426 0.805625i \(-0.701830\pi\)
0.776524 + 0.630088i \(0.216981\pi\)
\(174\) −0.973795 2.13231i −0.0738232 0.161650i
\(175\) 4.28822 + 3.11679i 0.324159 + 0.235607i
\(176\) −4.57156 + 5.27586i −0.344594 + 0.397683i
\(177\) −0.152616 0.214319i −0.0114713 0.0161092i
\(178\) −0.0785644 + 1.64927i −0.00588865 + 0.123618i
\(179\) 7.35260 5.78215i 0.549559 0.432178i −0.304380 0.952551i \(-0.598449\pi\)
0.853939 + 0.520373i \(0.174207\pi\)
\(180\) 0.239980 + 5.03779i 0.0178870 + 0.375495i
\(181\) 0.234575 + 0.270714i 0.0174358 + 0.0201220i 0.764401 0.644742i \(-0.223035\pi\)
−0.746965 + 0.664864i \(0.768490\pi\)
\(182\) −3.60953 + 1.21017i −0.267556 + 0.0897039i
\(183\) 12.6503 0.935136
\(184\) −3.67671 4.42108i −0.271050 0.325926i
\(185\) 11.2865 + 19.5488i 0.829802 + 1.43726i
\(186\) 1.29886 + 1.23846i 0.0952367 + 0.0908080i
\(187\) 4.85093 0.934939i 0.354735 0.0683695i
\(188\) −10.2832 + 6.60862i −0.749980 + 0.481983i
\(189\) 2.01625 1.71311i 0.146660 0.124611i
\(190\) 1.87236 + 1.20329i 0.135835 + 0.0872960i
\(191\) −2.21107 3.10502i −0.159988 0.224671i 0.726799 0.686850i \(-0.241007\pi\)
−0.886787 + 0.462179i \(0.847068\pi\)
\(192\) −5.72101 1.10264i −0.412879 0.0795758i
\(193\) −9.40326 + 3.76450i −0.676862 + 0.270974i −0.684518 0.728996i \(-0.739987\pi\)
0.00765619 + 0.999971i \(0.497563\pi\)
\(194\) 0.262425 + 0.0250585i 0.0188410 + 0.00179910i
\(195\) 11.9023 + 3.49482i 0.852340 + 0.250270i
\(196\) 13.0478 + 2.77845i 0.931986 + 0.198461i
\(197\) 2.56755 + 5.62216i 0.182931 + 0.400562i 0.978775 0.204940i \(-0.0656998\pi\)
−0.795844 + 0.605502i \(0.792973\pi\)
\(198\) 0.489193 + 0.384705i 0.0347654 + 0.0273398i
\(199\) −5.27345 1.01637i −0.373825 0.0720489i −0.00112156 0.999999i \(-0.500357\pi\)
−0.372703 + 0.927951i \(0.621569\pi\)
\(200\) −2.39151 + 0.228362i −0.169105 + 0.0161476i
\(201\) −5.60454 + 2.88934i −0.395314 + 0.203799i
\(202\) −0.151568 1.05418i −0.0106643 0.0741719i
\(203\) 18.2954 + 8.57079i 1.28409 + 0.601551i
\(204\) 3.04119 + 3.50972i 0.212926 + 0.245729i
\(205\) −2.67330 + 11.0195i −0.186711 + 0.769634i
\(206\) 2.35030 + 4.07083i 0.163753 + 0.283628i
\(207\) 3.53726 3.23849i 0.245856 0.225091i
\(208\) −8.07032 + 13.9782i −0.559576 + 0.969214i
\(209\) −5.32908 + 1.56476i −0.368620 + 0.108237i
\(210\) 1.46810 + 1.56993i 0.101309 + 0.108335i
\(211\) −16.0153 + 10.2924i −1.10254 + 0.708556i −0.959654 0.281183i \(-0.909273\pi\)
−0.142881 + 0.989740i \(0.545637\pi\)
\(212\) 23.7745 + 9.51789i 1.63284 + 0.653691i
\(213\) −0.442426 + 9.28766i −0.0303145 + 0.636380i
\(214\) 5.46611 0.521951i 0.373656 0.0356798i
\(215\) −3.58005 10.3439i −0.244157 0.705446i
\(216\) −0.170634 + 1.18678i −0.0116101 + 0.0807503i
\(217\) −15.4422 0.885888i −1.04828 0.0601380i
\(218\) 2.97679 + 0.874064i 0.201614 + 0.0591991i
\(219\) 5.56401 5.30527i 0.375981 0.358497i
\(220\) 5.93093 8.32882i 0.399863 0.561529i
\(221\) 10.6040 4.24521i 0.713303 0.285563i
\(222\) 0.856394 + 2.47439i 0.0574774 + 0.166070i
\(223\) −0.946517 + 2.07258i −0.0633835 + 0.138790i −0.938673 0.344809i \(-0.887944\pi\)
0.875289 + 0.483600i \(0.160671\pi\)
\(224\) −7.96049 + 4.49355i −0.531882 + 0.300238i
\(225\) −0.285154 1.98329i −0.0190102 0.132219i
\(226\) −0.221343 4.64657i −0.0147235 0.309085i
\(227\) −6.85765 + 19.8139i −0.455158 + 1.31509i 0.451139 + 0.892453i \(0.351018\pi\)
−0.906298 + 0.422640i \(0.861103\pi\)
\(228\) −3.77867 3.60295i −0.250248 0.238611i
\(229\) −2.08379 + 3.60923i −0.137701 + 0.238505i −0.926626 0.375985i \(-0.877305\pi\)
0.788925 + 0.614489i \(0.210638\pi\)
\(230\) 2.76471 + 2.74524i 0.182300 + 0.181016i
\(231\) −5.35990 + 0.203208i −0.352656 + 0.0133701i
\(232\) −8.78482 + 2.57946i −0.576752 + 0.169350i
\(233\) −15.7175 + 3.02930i −1.02969 + 0.198456i −0.675995 0.736906i \(-0.736286\pi\)
−0.353692 + 0.935362i \(0.615074\pi\)
\(234\) 1.27895 + 0.659346i 0.0836078 + 0.0431028i
\(235\) 13.3428 10.4929i 0.870390 0.684482i
\(236\) −0.445677 + 0.229763i −0.0290111 + 0.0149563i
\(237\) −2.62737 + 5.75313i −0.170666 + 0.373706i
\(238\) 1.95620 + 0.300664i 0.126801 + 0.0194892i
\(239\) −1.08730 + 7.56236i −0.0703318 + 0.489168i 0.923961 + 0.382486i \(0.124932\pi\)
−0.994293 + 0.106683i \(0.965977\pi\)
\(240\) 9.07168 + 0.866241i 0.585575 + 0.0559156i
\(241\) 5.98319 + 24.6630i 0.385411 + 1.58869i 0.752560 + 0.658523i \(0.228819\pi\)
−0.367150 + 0.930162i \(0.619666\pi\)
\(242\) 0.498652 + 2.05547i 0.0320545 + 0.132131i
\(243\) −0.995472 0.0950560i −0.0638596 0.00609785i
\(244\) 3.43099 23.8631i 0.219647 1.52768i
\(245\) −18.4036 2.11853i −1.17576 0.135348i
\(246\) −0.546395 + 1.19644i −0.0348369 + 0.0762821i
\(247\) −11.4140 + 5.88431i −0.726254 + 0.374410i
\(248\) 5.50985 4.33299i 0.349876 0.275145i
\(249\) 4.09798 + 2.11266i 0.259699 + 0.133884i
\(250\) −2.39023 + 0.460679i −0.151171 + 0.0291359i
\(251\) 22.3858 6.57307i 1.41298 0.414888i 0.515859 0.856674i \(-0.327473\pi\)
0.897121 + 0.441785i \(0.145655\pi\)
\(252\) −2.68471 4.26801i −0.169121 0.268859i
\(253\) −9.69534 + 0.727878i −0.609541 + 0.0457613i
\(254\) 3.15572 5.46587i 0.198007 0.342959i
\(255\) −4.66732 4.45028i −0.292279 0.278687i
\(256\) −2.93783 + 8.48829i −0.183614 + 0.530518i
\(257\) 1.06015 + 22.2553i 0.0661302 + 1.38824i 0.751348 + 0.659906i \(0.229404\pi\)
−0.685218 + 0.728338i \(0.740293\pi\)
\(258\) −0.180695 1.25676i −0.0112496 0.0782426i
\(259\) −19.4333 11.4727i −1.20752 0.712879i
\(260\) 9.82063 21.5042i 0.609050 1.33363i
\(261\) −2.49755 7.21621i −0.154595 0.446672i
\(262\) 1.26316 0.505692i 0.0780381 0.0312418i
\(263\) 10.2697 14.4218i 0.633257 0.889286i −0.365886 0.930660i \(-0.619234\pi\)
0.999144 + 0.0413740i \(0.0131735\pi\)
\(264\) 1.75919 1.67739i 0.108271 0.103236i
\(265\) −34.1215 10.0190i −2.09607 0.615460i
\(266\) −2.22144 0.127440i −0.136205 0.00781383i
\(267\) −0.765466 + 5.32393i −0.0468458 + 0.325819i
\(268\) 3.93030 + 11.3559i 0.240081 + 0.693670i
\(269\) 0.618970 0.0591045i 0.0377393 0.00360366i −0.0761693 0.997095i \(-0.524269\pi\)
0.113909 + 0.993491i \(0.463663\pi\)
\(270\) 0.0386557 0.811483i 0.00235251 0.0493853i
\(271\) 5.61195 + 2.24668i 0.340901 + 0.136476i 0.535795 0.844348i \(-0.320012\pi\)
−0.194894 + 0.980824i \(0.562436\pi\)
\(272\) 7.05907 4.53659i 0.428019 0.275071i
\(273\) −12.0797 + 2.80666i −0.731098 + 0.169867i
\(274\) 3.12661 0.918054i 0.188885 0.0554617i
\(275\) −2.03104 + 3.51786i −0.122476 + 0.212135i
\(276\) −5.14961 7.55090i −0.309970 0.454511i
\(277\) −11.8550 20.5334i −0.712295 1.23373i −0.963994 0.265926i \(-0.914322\pi\)
0.251699 0.967806i \(-0.419011\pi\)
\(278\) −1.43497 + 5.91501i −0.0860636 + 0.354759i
\(279\) 3.82844 + 4.41826i 0.229203 + 0.264514i
\(280\) 6.88540 4.80305i 0.411481 0.287037i
\(281\) −2.61045 18.1561i −0.155726 1.08310i −0.906398 0.422425i \(-0.861179\pi\)
0.750671 0.660676i \(-0.229730\pi\)
\(282\) 1.75010 0.902239i 0.104217 0.0537275i
\(283\) 21.7538 2.07723i 1.29313 0.123479i 0.574287 0.818654i \(-0.305279\pi\)
0.718840 + 0.695176i \(0.244673\pi\)
\(284\) 17.3999 + 3.35356i 1.03250 + 0.198997i
\(285\) 5.69909 + 4.48182i 0.337585 + 0.265480i
\(286\) −1.21181 2.65350i −0.0716559 0.156905i
\(287\) −3.08805 10.9074i −0.182282 0.643845i
\(288\) 3.31509 + 0.973398i 0.195344 + 0.0573581i
\(289\) 11.0118 + 1.05150i 0.647751 + 0.0618528i
\(290\) 5.75929 2.30567i 0.338197 0.135394i
\(291\) 0.843232 + 0.162520i 0.0494311 + 0.00952707i
\(292\) −8.49862 11.9346i −0.497344 0.698422i
\(293\) 7.42190 + 4.76977i 0.433592 + 0.278653i 0.739176 0.673512i \(-0.235215\pi\)
−0.305584 + 0.952165i \(0.598852\pi\)
\(294\) −2.04967 0.645306i −0.119539 0.0376350i
\(295\) 0.585761 0.376445i 0.0341043 0.0219175i
\(296\) 10.0420 1.93544i 0.583681 0.112495i
\(297\) 1.46723 + 1.39900i 0.0851374 + 0.0811783i
\(298\) −0.300676 0.520786i −0.0174177 0.0301683i
\(299\) −21.6929 + 5.89487i −1.25454 + 0.340909i
\(300\) −3.81855 −0.220464
\(301\) 8.20023 + 7.24607i 0.472654 + 0.417657i
\(302\) 2.85195 + 3.29133i 0.164111 + 0.189395i
\(303\) −0.165079 3.46543i −0.00948354 0.199084i
\(304\) −7.41546 + 5.83158i −0.425306 + 0.334464i
\(305\) −1.59296 + 33.4404i −0.0912128 + 1.91479i
\(306\) −0.433914 0.609348i −0.0248052 0.0348341i
\(307\) −11.8968 + 13.7296i −0.678984 + 0.783590i −0.985754 0.168194i \(-0.946206\pi\)
0.306770 + 0.951784i \(0.400752\pi\)
\(308\) −1.07038 + 10.1658i −0.0609905 + 0.579253i
\(309\) 6.36101 + 13.9287i 0.361865 + 0.792375i
\(310\) −3.43735 + 3.27751i −0.195228 + 0.186150i
\(311\) −6.02593 24.8392i −0.341699 1.40850i −0.840511 0.541794i \(-0.817745\pi\)
0.498812 0.866710i \(-0.333770\pi\)
\(312\) 3.25994 4.57795i 0.184558 0.259175i
\(313\) −11.4757 9.02459i −0.648645 0.510100i 0.238767 0.971077i \(-0.423257\pi\)
−0.887412 + 0.460977i \(0.847499\pi\)
\(314\) −0.856134 + 0.988032i −0.0483145 + 0.0557579i
\(315\) 4.27463 + 5.54557i 0.240848 + 0.312457i
\(316\) 10.1399 + 6.51654i 0.570415 + 0.366584i
\(317\) 2.38947 + 0.956601i 0.134206 + 0.0537281i 0.437793 0.899076i \(-0.355760\pi\)
−0.303587 + 0.952804i \(0.598184\pi\)
\(318\) −3.66651 1.89022i −0.205608 0.105998i
\(319\) −5.06331 + 14.6295i −0.283491 + 0.819093i
\(320\) 3.63517 14.9844i 0.203212 0.837652i
\(321\) 17.8872 0.998364
\(322\) −3.75611 1.03133i −0.209320 0.0574738i
\(323\) 6.67599 0.371462
\(324\) −0.449301 + 1.85204i −0.0249612 + 0.102891i
\(325\) −3.07179 + 8.87536i −0.170392 + 0.492316i
\(326\) −2.83152 1.45975i −0.156823 0.0808481i
\(327\) 9.38249 + 3.75618i 0.518853 + 0.207717i
\(328\) 4.32173 + 2.77741i 0.238627 + 0.153357i
\(329\) −6.45971 + 15.6925i −0.356136 + 0.865153i
\(330\) −1.07855 + 1.24471i −0.0593722 + 0.0685192i
\(331\) −21.3700 16.8056i −1.17460 0.923718i −0.176440 0.984311i \(-0.556458\pi\)
−0.998163 + 0.0605939i \(0.980701\pi\)
\(332\) 5.09670 7.15731i 0.279718 0.392808i
\(333\) 2.01092 + 8.28914i 0.110198 + 0.454242i
\(334\) 1.97785 1.88588i 0.108223 0.103191i
\(335\) −6.93209 15.1792i −0.378741 0.829326i
\(336\) −8.32359 + 3.70405i −0.454089 + 0.202073i
\(337\) −10.7666 + 12.4253i −0.586494 + 0.676851i −0.968988 0.247107i \(-0.920520\pi\)
0.382494 + 0.923958i \(0.375065\pi\)
\(338\) −1.59742 2.24327i −0.0868884 0.122018i
\(339\) 0.721038 15.1365i 0.0391614 0.822099i
\(340\) −9.66072 + 7.59727i −0.523926 + 0.412020i
\(341\) −0.563943 11.8386i −0.0305392 0.641097i
\(342\) 0.550742 + 0.635590i 0.0297807 + 0.0343688i
\(343\) 17.0635 7.19990i 0.921340 0.388758i
\(344\) −4.95909 −0.267376
\(345\) 8.11536 + 9.75836i 0.436916 + 0.525373i
\(346\) 0.513538 + 0.889473i 0.0276080 + 0.0478184i
\(347\) 20.6609 + 19.7002i 1.10914 + 1.05756i 0.997965 + 0.0637592i \(0.0203090\pi\)
0.111172 + 0.993801i \(0.464540\pi\)
\(348\) −14.2898 + 2.75413i −0.766013 + 0.147637i
\(349\) −5.26380 + 3.38284i −0.281765 + 0.181079i −0.673888 0.738834i \(-0.735377\pi\)
0.392123 + 0.919913i \(0.371741\pi\)
\(350\) −1.24017 + 1.05371i −0.0662898 + 0.0563234i
\(351\) 3.94323 + 2.53416i 0.210474 + 0.135263i
\(352\) −4.06297 5.70565i −0.216557 0.304112i
\(353\) −29.3962 5.66566i −1.56460 0.301553i −0.667923 0.744231i \(-0.732816\pi\)
−0.896681 + 0.442678i \(0.854029\pi\)
\(354\) 0.0749823 0.0300184i 0.00398526 0.00159546i
\(355\) −24.4958 2.33906i −1.30010 0.124144i
\(356\) 9.83528 + 2.88790i 0.521269 + 0.153058i
\(357\) 6.25046 + 1.58073i 0.330809 + 0.0836612i
\(358\) 1.19283 + 2.61194i 0.0630432 + 0.138045i
\(359\) 24.8118 + 19.5122i 1.30952 + 1.02981i 0.996797 + 0.0799686i \(0.0254820\pi\)
0.312718 + 0.949846i \(0.398760\pi\)
\(360\) −3.11571 0.600505i −0.164213 0.0316494i
\(361\) 11.4424 1.09262i 0.602233 0.0575063i
\(362\) −0.0977378 + 0.0503874i −0.00513699 + 0.00264830i
\(363\) 0.980553 + 6.81989i 0.0514657 + 0.357952i
\(364\) 2.01814 + 23.5480i 0.105779 + 1.23425i
\(365\) 13.3236 + 15.3762i 0.697388 + 0.804829i
\(366\) −0.915539 + 3.77390i −0.0478560 + 0.197265i
\(367\) −2.64492 4.58113i −0.138064 0.239133i 0.788700 0.614778i \(-0.210755\pi\)
−0.926764 + 0.375645i \(0.877421\pi\)
\(368\) −14.8288 + 7.26828i −0.773005 + 0.378885i
\(369\) −2.14233 + 3.71062i −0.111525 + 0.193167i
\(370\) −6.64876 + 1.95225i −0.345653 + 0.101493i
\(371\) 34.6302 8.04614i 1.79791 0.417735i
\(372\) 9.37280 6.02353i 0.485957 0.312306i
\(373\) −4.36512 1.74753i −0.226017 0.0904837i 0.255890 0.966706i \(-0.417632\pi\)
−0.481907 + 0.876222i \(0.660056\pi\)
\(374\) −0.0721598 + 1.51482i −0.00373129 + 0.0783295i
\(375\) −7.89369 + 0.753756i −0.407628 + 0.0389238i
\(376\) −2.51527 7.26741i −0.129715 0.374788i
\(377\) −5.09392 + 35.4290i −0.262350 + 1.82469i
\(378\) 0.365143 + 0.725481i 0.0187809 + 0.0373147i
\(379\) −6.64398 1.95085i −0.341278 0.100208i 0.106602 0.994302i \(-0.466003\pi\)
−0.447881 + 0.894093i \(0.647821\pi\)
\(380\) 10.0000 9.53502i 0.512991 0.489136i
\(381\) 11.9259 16.7476i 0.610982 0.858004i
\(382\) 1.08633 0.434900i 0.0555814 0.0222514i
\(383\) 8.14729 + 23.5401i 0.416307 + 1.20284i 0.937071 + 0.349140i \(0.113526\pi\)
−0.520764 + 0.853701i \(0.674353\pi\)
\(384\) 3.61355 7.91256i 0.184403 0.403786i
\(385\) 0.137764 14.1942i 0.00702110 0.723404i
\(386\) −0.442504 3.07768i −0.0225228 0.156650i
\(387\) −0.196802 4.13138i −0.0100040 0.210010i
\(388\) 0.535271 1.54657i 0.0271743 0.0785150i
\(389\) −14.3328 13.6663i −0.726704 0.692910i 0.233455 0.972368i \(-0.424997\pi\)
−0.960158 + 0.279457i \(0.909845\pi\)
\(390\) −1.90400 + 3.29782i −0.0964127 + 0.166992i
\(391\) 11.4283 + 2.44379i 0.577952 + 0.123588i
\(392\) −3.63406 + 7.56535i −0.183548 + 0.382108i
\(393\) 4.25276 1.24872i 0.214523 0.0629897i
\(394\) −1.86305 + 0.359074i −0.0938593 + 0.0180899i
\(395\) −14.8773 7.66977i −0.748557 0.385908i
\(396\) 3.03697 2.38830i 0.152614 0.120017i
\(397\) 9.48334 4.88900i 0.475955 0.245372i −0.203519 0.979071i \(-0.565238\pi\)
0.679475 + 0.733699i \(0.262208\pi\)
\(398\) 0.684866 1.49965i 0.0343292 0.0751705i
\(399\) −7.16423 1.10113i −0.358660 0.0551255i
\(400\) −0.981917 + 6.82938i −0.0490958 + 0.341469i
\(401\) −1.72311 0.164537i −0.0860479 0.00821658i 0.0519433 0.998650i \(-0.483459\pi\)
−0.137991 + 0.990433i \(0.544065\pi\)
\(402\) −0.456347 1.88109i −0.0227605 0.0938202i
\(403\) −6.46051 26.6306i −0.321821 1.32656i
\(404\) −6.58185 0.628491i −0.327459 0.0312686i
\(405\) 0.376629 2.61951i 0.0187148 0.130165i
\(406\) −3.88098 + 4.83769i −0.192610 + 0.240091i
\(407\) 7.18338 15.7294i 0.356067 0.779678i
\(408\) −2.59693 + 1.33881i −0.128567 + 0.0662811i
\(409\) 5.60628 4.40883i 0.277213 0.218003i −0.469867 0.882737i \(-0.655698\pi\)
0.747079 + 0.664735i \(0.231456\pi\)
\(410\) −3.09392 1.59503i −0.152798 0.0787727i
\(411\) 10.4232 2.00892i 0.514141 0.0990925i
\(412\) 27.9998 8.22148i 1.37945 0.405043i
\(413\) −0.324967 + 0.615604i −0.0159906 + 0.0302919i
\(414\) 0.710122 + 1.28963i 0.0349006 + 0.0633820i
\(415\) −6.10074 + 10.5668i −0.299473 + 0.518703i
\(416\) −11.7208 11.1758i −0.574660 0.547937i
\(417\) −6.48490 + 18.7369i −0.317567 + 0.917549i
\(418\) −0.0811261 1.70305i −0.00396801 0.0832987i
\(419\) −1.89816 13.2020i −0.0927311 0.644959i −0.982183 0.187929i \(-0.939822\pi\)
0.889451 0.457030i \(-0.151087\pi\)
\(420\) 11.6203 6.55946i 0.567014 0.320069i
\(421\) 9.72691 21.2990i 0.474060 1.03805i −0.509994 0.860178i \(-0.670352\pi\)
0.984054 0.177869i \(-0.0569205\pi\)
\(422\) −1.91141 5.52265i −0.0930459 0.268838i
\(423\) 5.95461 2.38386i 0.289523 0.115907i
\(424\) −9.34561 + 13.1241i −0.453863 + 0.637362i
\(425\) 3.53373 3.36940i 0.171411 0.163440i
\(426\) −2.73873 0.804163i −0.132692 0.0389618i
\(427\) −15.0472 29.8963i −0.728184 1.44678i
\(428\) 4.85133 33.7417i 0.234498 1.63097i
\(429\) −3.10801 8.98001i −0.150056 0.433559i
\(430\) 3.34494 0.319403i 0.161307 0.0154030i
\(431\) 1.19324 25.0493i 0.0574765 1.20658i −0.767363 0.641213i \(-0.778431\pi\)
0.824839 0.565368i \(-0.191266\pi\)
\(432\) 3.19680 + 1.27981i 0.153806 + 0.0615747i
\(433\) −34.2162 + 21.9894i −1.64432 + 1.05674i −0.707636 + 0.706577i \(0.750238\pi\)
−0.936688 + 0.350166i \(0.886125\pi\)
\(434\) 1.38188 4.54269i 0.0663324 0.218056i
\(435\) 19.3902 5.69347i 0.929688 0.272981i
\(436\) 9.63024 16.6801i 0.461205 0.798830i
\(437\) −13.0513 1.51370i −0.624327 0.0724101i
\(438\) 1.18001 + 2.04384i 0.0563832 + 0.0976586i
\(439\) 3.42555 14.1203i 0.163492 0.673925i −0.829777 0.558096i \(-0.811532\pi\)
0.993269 0.115829i \(-0.0369526\pi\)
\(440\) 4.21256 + 4.86155i 0.200826 + 0.231766i
\(441\) −6.44685 2.72728i −0.306993 0.129871i
\(442\) 0.499009 + 3.47069i 0.0237355 + 0.165084i
\(443\) 17.9523 9.25504i 0.852938 0.439720i 0.0244327 0.999701i \(-0.492222\pi\)
0.828505 + 0.559981i \(0.189192\pi\)
\(444\) 16.1817 1.54517i 0.767952 0.0733305i
\(445\) −13.9772 2.69388i −0.662581 0.127702i
\(446\) −0.549802 0.432369i −0.0260339 0.0204733i
\(447\) −0.813771 1.78191i −0.0384900 0.0842814i
\(448\) 4.19914 + 14.8320i 0.198391 + 0.700746i
\(449\) −6.87150 2.01765i −0.324286 0.0952190i 0.115538 0.993303i \(-0.463141\pi\)
−0.439824 + 0.898084i \(0.644959\pi\)
\(450\) 0.612303 + 0.0584678i 0.0288642 + 0.00275620i
\(451\) 8.06410 3.22838i 0.379723 0.152018i
\(452\) −28.3573 5.46543i −1.33382 0.257072i
\(453\) 8.22916 + 11.5562i 0.386640 + 0.542960i
\(454\) −5.41468 3.47980i −0.254123 0.163315i
\(455\) −5.89815 32.2856i −0.276509 1.51357i
\(456\) 2.76332 1.77588i 0.129405 0.0831632i
\(457\) −27.1651 + 5.23565i −1.27073 + 0.244913i −0.779658 0.626205i \(-0.784607\pi\)
−0.491073 + 0.871119i \(0.663395\pi\)
\(458\) −0.925916 0.882859i −0.0432652 0.0412533i
\(459\) −1.21841 2.11036i −0.0568707 0.0985030i
\(460\) 20.6089 12.6619i 0.960894 0.590364i
\(461\) 25.4517 1.18540 0.592701 0.805423i \(-0.298062\pi\)
0.592701 + 0.805423i \(0.298062\pi\)
\(462\) 0.327290 1.61370i 0.0152269 0.0750762i
\(463\) −9.29228 10.7239i −0.431849 0.498380i 0.497561 0.867429i \(-0.334229\pi\)
−0.929410 + 0.369049i \(0.879684\pi\)
\(464\) 1.25116 + 26.2652i 0.0580839 + 1.21933i
\(465\) −12.1615 + 9.56394i −0.563978 + 0.443517i
\(466\) 0.233805 4.90817i 0.0108308 0.227367i
\(467\) 1.82194 + 2.55856i 0.0843095 + 0.118396i 0.854577 0.519325i \(-0.173817\pi\)
−0.770267 + 0.637721i \(0.779877\pi\)
\(468\) 5.84983 6.75106i 0.270408 0.312068i
\(469\) 13.4948 + 9.80838i 0.623133 + 0.452909i
\(470\) 2.16464 + 4.73991i 0.0998476 + 0.218636i
\(471\) −3.08222 + 2.93889i −0.142021 + 0.135417i
\(472\) −0.0743725 0.306568i −0.00342327 0.0141109i
\(473\) −4.86382 + 6.83029i −0.223639 + 0.314057i
\(474\) −1.52616 1.20018i −0.0700987 0.0551262i
\(475\) −3.59475 + 4.14856i −0.164938 + 0.190349i
\(476\) 4.67708 11.3619i 0.214374 0.520773i
\(477\) −11.3045 7.26493i −0.517596 0.332638i
\(478\) −2.17735 0.871681i −0.0995899 0.0398698i
\(479\) −18.9932 9.79166i −0.867821 0.447393i −0.0339959 0.999422i \(-0.510823\pi\)
−0.833825 + 0.552029i \(0.813854\pi\)
\(480\) −2.99058 + 8.64070i −0.136500 + 0.394392i
\(481\) 9.42585 38.8539i 0.429782 1.77158i
\(482\) −7.79063 −0.354854
\(483\) −11.8610 4.50748i −0.539693 0.205097i
\(484\) 13.1308 0.596853
\(485\) −0.535795 + 2.20858i −0.0243292 + 0.100286i
\(486\) 0.100403 0.290095i 0.00455437 0.0131590i
\(487\) 25.9863 + 13.3969i 1.17755 + 0.607070i 0.932051 0.362327i \(-0.118018\pi\)
0.245500 + 0.969397i \(0.421048\pi\)
\(488\) 14.0810 + 5.63720i 0.637419 + 0.255184i
\(489\) −8.73006 5.61047i −0.394787 0.253714i
\(490\) 1.96393 5.33694i 0.0887215 0.241098i
\(491\) 1.33646 1.54236i 0.0603138 0.0696059i −0.724791 0.688969i \(-0.758064\pi\)
0.785105 + 0.619363i \(0.212609\pi\)
\(492\) 6.41855 + 5.04760i 0.289371 + 0.227564i
\(493\) 10.7938 15.1577i 0.486126 0.682669i
\(494\) −0.929377 3.83095i −0.0418147 0.172362i
\(495\) −3.88295 + 3.70239i −0.174526 + 0.166410i
\(496\) −8.36279 18.3120i −0.375500 0.822231i
\(497\) 22.4757 10.0018i 1.00817 0.448644i
\(498\) −0.926843 + 1.06963i −0.0415328 + 0.0479315i
\(499\) 15.0222 + 21.0957i 0.672484 + 0.944372i 1.00000 0.000473698i \(-0.000150783\pi\)
−0.327516 + 0.944846i \(0.606211\pi\)
\(500\) −0.719055 + 15.0948i −0.0321571 + 0.675061i
\(501\) 6.99775 5.50309i 0.312637 0.245860i
\(502\) 0.340786 + 7.15397i 0.0152100 + 0.319297i
\(503\) −3.90255 4.50378i −0.174006 0.200814i 0.662047 0.749462i \(-0.269688\pi\)
−0.836053 + 0.548649i \(0.815142\pi\)
\(504\) 3.00768 1.00839i 0.133973 0.0449172i
\(505\) 9.18149 0.408571
\(506\) 0.484536 2.94505i 0.0215403 0.130923i
\(507\) −4.48550 7.76912i −0.199208 0.345039i
\(508\) −28.3575 27.0388i −1.25816 1.19965i
\(509\) −15.6709 + 3.02031i −0.694599 + 0.133873i −0.524318 0.851523i \(-0.675680\pi\)
−0.170281 + 0.985396i \(0.554468\pi\)
\(510\) 1.66542 1.07030i 0.0737460 0.0473937i
\(511\) −19.1561 6.83890i −0.847418 0.302535i
\(512\) −16.9552 10.8964i −0.749320 0.481559i
\(513\) 1.58914 + 2.23163i 0.0701621 + 0.0985289i
\(514\) −6.71604 1.29441i −0.296232 0.0570940i
\(515\) −37.6207 + 15.0611i −1.65777 + 0.663670i
\(516\) −7.84668 0.749267i −0.345431 0.0329846i
\(517\) −12.4765 3.66344i −0.548718 0.161118i
\(518\) 4.82905 4.96713i 0.212176 0.218243i
\(519\) 1.38988 + 3.04340i 0.0610088 + 0.133591i
\(520\) 11.6911 + 9.19396i 0.512688 + 0.403182i
\(521\) 10.6530 + 2.05319i 0.466715 + 0.0899519i 0.417187 0.908821i \(-0.363016\pi\)
0.0495281 + 0.998773i \(0.484228\pi\)
\(522\) 2.33353 0.222826i 0.102136 0.00975281i
\(523\) 17.0360 8.78266i 0.744932 0.384039i −0.0435870 0.999050i \(-0.513879\pi\)
0.788519 + 0.615011i \(0.210848\pi\)
\(524\) −1.20212 8.36094i −0.0525149 0.365249i
\(525\) −4.34791 + 3.03297i −0.189758 + 0.132370i
\(526\) 3.55914 + 4.10746i 0.155186 + 0.179094i
\(527\) −3.35866 + 13.8446i −0.146306 + 0.603080i
\(528\) −3.49048 6.04569i −0.151904 0.263105i
\(529\) −21.7877 7.36872i −0.947289 0.320379i
\(530\) 5.45839 9.45421i 0.237097 0.410664i
\(531\) 0.252448 0.0741254i 0.0109553 0.00321677i
\(532\) −4.02021 + 13.2157i −0.174298 + 0.572974i
\(533\) 16.8954 10.8580i 0.731820 0.470312i
\(534\) −1.53287 0.613667i −0.0663336 0.0265560i
\(535\) −2.25240 + 47.2838i −0.0973799 + 2.04426i
\(536\) −7.52597 + 0.718643i −0.325072 + 0.0310406i
\(537\) 3.05934 + 8.83937i 0.132020 + 0.381447i
\(538\) −0.0271644 + 0.188932i −0.00117114 + 0.00814545i
\(539\) 6.85570 + 12.4253i 0.295296 + 0.535196i
\(540\) −4.83921 1.42092i −0.208246 0.0611466i
\(541\) 26.8658 25.6164i 1.15505 1.10134i 0.161624 0.986852i \(-0.448327\pi\)
0.993425 0.114485i \(-0.0365217\pi\)
\(542\) −1.07640 + 1.51159i −0.0462352 + 0.0649282i
\(543\) −0.332547 + 0.133132i −0.0142710 + 0.00571323i
\(544\) 2.75370 + 7.95630i 0.118064 + 0.341123i
\(545\) −11.1107 + 24.3291i −0.475932 + 1.04215i
\(546\) 0.0369476 3.80682i 0.00158121 0.162917i
\(547\) 1.94901 + 13.5557i 0.0833337 + 0.579599i 0.988114 + 0.153721i \(0.0491256\pi\)
−0.904781 + 0.425878i \(0.859965\pi\)
\(548\) −0.962574 20.2069i −0.0411191 0.863196i
\(549\) −4.13750 + 11.9545i −0.176584 + 0.510207i
\(550\) −0.902476 0.860510i −0.0384817 0.0366922i
\(551\) −10.4601 + 18.1175i −0.445617 + 0.771831i
\(552\) 5.38045 2.02850i 0.229007 0.0863386i
\(553\) 16.7215 0.633958i 0.711072 0.0269586i
\(554\) 6.98361 2.05057i 0.296705 0.0871205i
\(555\) −22.1651 + 4.27198i −0.940858 + 0.181335i
\(556\) 33.5858 + 17.3147i 1.42436 + 0.734306i
\(557\) 20.2231 15.9036i 0.856879 0.673857i −0.0898265 0.995957i \(-0.528631\pi\)
0.946706 + 0.322100i \(0.104389\pi\)
\(558\) −1.59516 + 0.822360i −0.0675283 + 0.0348133i
\(559\) −8.05369 + 17.6351i −0.340635 + 0.745886i
\(560\) −8.74334 22.4694i −0.369474 0.949506i
\(561\) −0.703064 + 4.88992i −0.0296834 + 0.206453i
\(562\) 5.60535 + 0.535246i 0.236447 + 0.0225780i
\(563\) 8.10697 + 33.4174i 0.341668 + 1.40838i 0.840563 + 0.541713i \(0.182224\pi\)
−0.498895 + 0.866662i \(0.666261\pi\)
\(564\) −2.88184 11.8791i −0.121347 0.500201i
\(565\) 39.9217 + 3.81206i 1.67952 + 0.160374i
\(566\) −0.954693 + 6.64004i −0.0401287 + 0.279102i
\(567\) 0.959442 + 2.46566i 0.0402928 + 0.103548i
\(568\) −4.63122 + 10.1410i −0.194322 + 0.425505i
\(569\) −19.9185 + 10.2687i −0.835027 + 0.430486i −0.822040 0.569430i \(-0.807164\pi\)
−0.0129865 + 0.999916i \(0.504134\pi\)
\(570\) −1.74950 + 1.37582i −0.0732785 + 0.0576269i
\(571\) 7.68873 + 3.96381i 0.321763 + 0.165880i 0.611539 0.791214i \(-0.290551\pi\)
−0.289776 + 0.957094i \(0.593581\pi\)
\(572\) −17.7825 + 3.42730i −0.743525 + 0.143303i
\(573\) 3.65742 1.07391i 0.152791 0.0448634i
\(574\) 3.47746 0.131840i 0.145146 0.00550288i
\(575\) −7.67226 + 5.78581i −0.319955 + 0.241285i
\(576\) 2.91315 5.04573i 0.121381 0.210239i
\(577\) −13.7202 13.0822i −0.571179 0.544618i 0.348490 0.937312i \(-0.386695\pi\)
−0.919669 + 0.392694i \(0.871543\pi\)
\(578\) −1.11064 + 3.20899i −0.0461967 + 0.133477i
\(579\) −0.481948 10.1173i −0.0200291 0.420462i
\(580\) −5.48100 38.1212i −0.227586 1.58289i
\(581\) 0.118386 12.1977i 0.00491149 0.506045i
\(582\) −0.109511 + 0.239796i −0.00453938 + 0.00993985i
\(583\) 8.91006 + 25.7439i 0.369017 + 1.06620i
\(584\) 8.55743 3.42588i 0.354109 0.141764i
\(585\) −7.19546 + 10.1046i −0.297496 + 0.417774i
\(586\) −1.96009 + 1.86894i −0.0809705 + 0.0772052i
\(587\) −9.99366 2.93440i −0.412482 0.121116i 0.0689060 0.997623i \(-0.478049\pi\)
−0.481388 + 0.876507i \(0.659867\pi\)
\(588\) −6.89316 + 11.4214i −0.284269 + 0.471012i
\(589\) 2.27937 15.8533i 0.0939197 0.653226i
\(590\) 0.0699101 + 0.201992i 0.00287815 + 0.00831587i
\(591\) −6.15271 + 0.587512i −0.253089 + 0.0241670i
\(592\) 1.39754 29.3380i 0.0574386 1.20578i
\(593\) 3.29475 + 1.31902i 0.135299 + 0.0541656i 0.438324 0.898817i \(-0.355572\pi\)
−0.303025 + 0.952983i \(0.597997\pi\)
\(594\) −0.523546 + 0.336463i −0.0214814 + 0.0138052i
\(595\) −4.96566 + 16.3237i −0.203572 + 0.669207i
\(596\) −3.58204 + 1.05178i −0.146726 + 0.0430827i
\(597\) 2.68525 4.65099i 0.109900 0.190352i
\(598\) −0.188606 6.89819i −0.00771268 0.282088i
\(599\) 17.2003 + 29.7918i 0.702786 + 1.21726i 0.967485 + 0.252930i \(0.0813943\pi\)
−0.264698 + 0.964331i \(0.585272\pi\)
\(600\) 0.566385 2.33467i 0.0231226 0.0953125i
\(601\) 21.7251 + 25.0721i 0.886186 + 1.02271i 0.999575 + 0.0291629i \(0.00928415\pi\)
−0.113388 + 0.993551i \(0.536170\pi\)
\(602\) −2.75516 + 1.92192i −0.112292 + 0.0783316i
\(603\) −0.897365 6.24131i −0.0365435 0.254166i
\(604\) 24.0312 12.3889i 0.977816 0.504099i
\(605\) −18.1515 + 1.73326i −0.737964 + 0.0704670i
\(606\) 1.04577 + 0.201557i 0.0424817 + 0.00818768i
\(607\) 22.2737 + 17.5162i 0.904062 + 0.710962i 0.957752 0.287595i \(-0.0928558\pi\)
−0.0536898 + 0.998558i \(0.517098\pi\)
\(608\) −3.93212 8.61013i −0.159468 0.349187i
\(609\) −14.0832 + 14.4859i −0.570682 + 0.587000i
\(610\) −9.86084 2.89540i −0.399254 0.117231i
\(611\) −29.9286 2.85784i −1.21078 0.115616i
\(612\) −4.31136 + 1.72601i −0.174276 + 0.0697698i
\(613\) −32.3631 6.23749i −1.30714 0.251930i −0.512327 0.858790i \(-0.671216\pi\)
−0.794808 + 0.606861i \(0.792429\pi\)
\(614\) −3.23489 4.54276i −0.130549 0.183331i
\(615\) −9.53907 6.13039i −0.384652 0.247201i
\(616\) −6.05666 2.16228i −0.244030 0.0871207i
\(617\) 10.2497 6.58711i 0.412639 0.265187i −0.317810 0.948155i \(-0.602947\pi\)
0.730449 + 0.682968i \(0.239311\pi\)
\(618\) −4.61565 + 0.889593i −0.185668 + 0.0357847i
\(619\) 15.2585 + 14.5490i 0.613291 + 0.584772i 0.931721 0.363174i \(-0.118307\pi\)
−0.318430 + 0.947946i \(0.603156\pi\)
\(620\) 14.7427 + 25.5350i 0.592079 + 1.02551i
\(621\) 1.90345 + 4.40192i 0.0763829 + 0.176643i
\(622\) 7.84629 0.314608
\(623\) 13.4925 4.52366i 0.540566 0.181236i
\(624\) −10.5699 12.1983i −0.423133 0.488322i
\(625\) −1.47521 30.9686i −0.0590086 1.23874i
\(626\) 3.52280 2.77036i 0.140799 0.110726i
\(627\) 0.264273 5.54776i 0.0105540 0.221556i
\(628\) 4.70787 + 6.61128i 0.187864 + 0.263819i
\(629\) −13.6114 + 15.7083i −0.542720 + 0.626332i
\(630\) −1.96375 + 0.873883i −0.0782378 + 0.0348163i
\(631\) 8.88594 + 19.4575i 0.353744 + 0.774590i 0.999935 + 0.0114149i \(0.00363354\pi\)
−0.646191 + 0.763175i \(0.723639\pi\)
\(632\) −5.48823 + 5.23302i −0.218310 + 0.208158i
\(633\) −4.48823 18.5007i −0.178391 0.735338i
\(634\) −0.458312 + 0.643609i −0.0182019 + 0.0255610i
\(635\) 42.7696 + 33.6344i 1.69726 + 1.33474i
\(636\) −16.7703 + 19.3540i −0.664986 + 0.767434i
\(637\) 21.0015 + 25.2095i 0.832108 + 0.998836i
\(638\) −3.99790 2.56929i −0.158278 0.101719i
\(639\) −8.63215 3.45579i −0.341482 0.136709i
\(640\) 20.4614 + 10.5486i 0.808809 + 0.416970i
\(641\) −2.01525 + 5.82268i −0.0795976 + 0.229982i −0.977777 0.209646i \(-0.932769\pi\)
0.898180 + 0.439629i \(0.144890\pi\)
\(642\) −1.29455 + 5.33620i −0.0510917 + 0.210603i
\(643\) −28.8960 −1.13955 −0.569774 0.821802i \(-0.692969\pi\)
−0.569774 + 0.821802i \(0.692969\pi\)
\(644\) −11.7197 + 21.1516i −0.461820 + 0.833491i
\(645\) 10.9459 0.430994
\(646\) −0.483161 + 1.99162i −0.0190097 + 0.0783592i
\(647\) 13.6848 39.5396i 0.538004 1.55446i −0.268529 0.963272i \(-0.586538\pi\)
0.806533 0.591189i \(-0.201341\pi\)
\(648\) −1.06570 0.549408i −0.0418647 0.0215828i
\(649\) −0.495188 0.198243i −0.0194378 0.00778173i
\(650\) −2.42543 1.55873i −0.0951333 0.0611384i
\(651\) 5.88781 14.3031i 0.230762 0.560584i
\(652\) −12.9511 + 14.9464i −0.507206 + 0.585347i
\(653\) 28.1090 + 22.1052i 1.09999 + 0.865042i 0.991635 0.129070i \(-0.0411992\pi\)
0.108355 + 0.994112i \(0.465442\pi\)
\(654\) −1.79960 + 2.52719i −0.0703701 + 0.0988210i
\(655\) 2.76542 + 11.3992i 0.108054 + 0.445403i
\(656\) 10.6780 10.1815i 0.416907 0.397520i
\(657\) 3.19368 + 6.99318i 0.124597 + 0.272830i
\(658\) −4.21395 3.06281i −0.164277 0.119401i
\(659\) 13.7473 15.8652i 0.535518 0.618020i −0.421929 0.906629i \(-0.638647\pi\)
0.957447 + 0.288608i \(0.0931925\pi\)
\(660\) 5.93093 + 8.32882i 0.230861 + 0.324199i
\(661\) −2.23454 + 46.9089i −0.0869137 + 1.82454i 0.363356 + 0.931651i \(0.381631\pi\)
−0.450269 + 0.892893i \(0.648672\pi\)
\(662\) 6.56014 5.15895i 0.254967 0.200508i
\(663\) 0.543491 + 11.4093i 0.0211074 + 0.443099i
\(664\) 3.62003 + 4.17774i 0.140484 + 0.162128i
\(665\) 3.81293 18.7996i 0.147859 0.729018i
\(666\) −2.61840 −0.101461
\(667\) −24.5382 + 27.1853i −0.950121 + 1.05262i
\(668\) −8.48293 14.6929i −0.328214 0.568484i
\(669\) −1.64902 1.57233i −0.0637547 0.0607900i
\(670\) 5.03003 0.969459i 0.194327 0.0374535i
\(671\) 21.5748 13.8653i 0.832886 0.535263i
\(672\) −1.64279 8.99236i −0.0633718 0.346888i
\(673\) −30.8487 19.8252i −1.18913 0.764206i −0.212086 0.977251i \(-0.568026\pi\)
−0.977042 + 0.213045i \(0.931662\pi\)
\(674\) −2.92758 4.11121i −0.112766 0.158358i
\(675\) 1.96747 + 0.379199i 0.0757281 + 0.0145954i
\(676\) −15.8720 + 6.35417i −0.610460 + 0.244391i
\(677\) 24.9118 + 2.37879i 0.957438 + 0.0914242i 0.562062 0.827095i \(-0.310008\pi\)
0.395376 + 0.918519i \(0.370614\pi\)
\(678\) 4.46341 + 1.31057i 0.171416 + 0.0503323i
\(679\) −0.618920 2.18612i −0.0237520 0.0838954i
\(680\) −3.21207 7.03345i −0.123177 0.269721i
\(681\) −16.4812 12.9610i −0.631562 0.496665i
\(682\) 3.57258 + 0.688557i 0.136801 + 0.0263662i
\(683\) −34.6346 + 3.30720i −1.32525 + 0.126546i −0.733565 0.679619i \(-0.762145\pi\)
−0.591690 + 0.806166i \(0.701539\pi\)
\(684\) 4.64067 2.39243i 0.177441 0.0914770i
\(685\) 3.99794 + 27.8063i 0.152753 + 1.06242i
\(686\) 0.912980 + 5.61154i 0.0348577 + 0.214250i
\(687\) −2.72918 3.14965i −0.104125 0.120167i
\(688\) −3.35777 + 13.8409i −0.128014 + 0.527681i
\(689\) 31.4933 + 54.5479i 1.19980 + 2.07811i
\(690\) −3.49850 + 1.71478i −0.133186 + 0.0652805i
\(691\) 6.67030 11.5533i 0.253750 0.439508i −0.710805 0.703389i \(-0.751669\pi\)
0.964555 + 0.263881i \(0.0850025\pi\)
\(692\) 6.11793 1.79639i 0.232569 0.0682884i
\(693\) 1.56102 5.13157i 0.0592982 0.194932i
\(694\) −7.37236 + 4.73793i −0.279851 + 0.179849i
\(695\) −48.7134 19.5019i −1.84781 0.739750i
\(696\) 0.435645 9.14532i 0.0165131 0.346653i
\(697\) −10.3937 + 0.992478i −0.393689 + 0.0375928i
\(698\) −0.628230 1.81515i −0.0237789 0.0687045i
\(699\) 2.27800 15.8438i 0.0861618 0.599269i
\(700\) 4.54206 + 9.02434i 0.171674 + 0.341088i
\(701\) −16.2948 4.78458i −0.615446 0.180711i −0.0408725 0.999164i \(-0.513014\pi\)
−0.574573 + 0.818453i \(0.694832\pi\)
\(702\) −1.04139 + 0.992961i −0.0393046 + 0.0374769i
\(703\) 13.5547 19.0348i 0.511223 0.717913i
\(704\) −10.9656 + 4.38997i −0.413282 + 0.165453i
\(705\) 5.55180 + 16.0409i 0.209093 + 0.604135i
\(706\) 3.81770 8.35961i 0.143681 0.314618i
\(707\) −7.99348 + 4.51217i −0.300626 + 0.169698i
\(708\) −0.0713591 0.496313i −0.00268184 0.0186526i
\(709\) 0.237908 + 4.99430i 0.00893482 + 0.187565i 0.998922 + 0.0464108i \(0.0147783\pi\)
−0.989988 + 0.141154i \(0.954919\pi\)
\(710\) 2.47063 7.13843i 0.0927212 0.267900i
\(711\) −4.57739 4.36453i −0.171665 0.163683i
\(712\) −3.22448 + 5.58497i −0.120843 + 0.209306i
\(713\) 9.70514 26.3041i 0.363460 0.985095i
\(714\) −0.923937 + 1.75027i −0.0345775 + 0.0655022i
\(715\) 24.1296 7.08508i 0.902395 0.264967i
\(716\) 17.5040 3.37363i 0.654156 0.126078i
\(717\) −6.79081 3.50091i −0.253608 0.130744i
\(718\) −7.61669 + 5.98983i −0.284252 + 0.223539i
\(719\) −9.77427 + 5.03899i −0.364519 + 0.187922i −0.630749 0.775987i \(-0.717252\pi\)
0.266230 + 0.963909i \(0.414222\pi\)
\(720\) −3.78565 + 8.28943i −0.141083 + 0.308929i
\(721\) 25.3513 31.6007i 0.944131 1.17687i
\(722\) −0.502166 + 3.49264i −0.0186887 + 0.129983i
\(723\) −25.2635 2.41237i −0.939559 0.0897170i
\(724\) 0.160942 + 0.663413i 0.00598137 + 0.0246556i
\(725\) 3.60723 + 14.8692i 0.133969 + 0.552228i
\(726\) −2.10551 0.201052i −0.0781430 0.00746175i
\(727\) 1.00020 6.95654i 0.0370953 0.258004i −0.962831 0.270103i \(-0.912942\pi\)
0.999927 + 0.0120991i \(0.00385137\pi\)
\(728\) −14.6967 2.25885i −0.544694 0.0837186i
\(729\) 0.415415 0.909632i 0.0153857 0.0336901i
\(730\) −5.55139 + 2.86194i −0.205466 + 0.105925i
\(731\) 7.92254 6.23036i 0.293026 0.230438i
\(732\) 21.4285 + 11.0471i 0.792018 + 0.408314i
\(733\) 3.74821 0.722408i 0.138443 0.0266828i −0.119559 0.992827i \(-0.538148\pi\)
0.258002 + 0.966144i \(0.416936\pi\)
\(734\) 1.55809 0.457496i 0.0575101 0.0168865i
\(735\) 8.02124 16.6985i 0.295868 0.615934i
\(736\) −3.57937 16.1786i −0.131937 0.596351i
\(737\) −6.39158 + 11.0705i −0.235437 + 0.407789i
\(738\) −0.951926 0.907660i −0.0350409 0.0334114i
\(739\) −6.47544 + 18.7096i −0.238203 + 0.688242i 0.761016 + 0.648733i \(0.224701\pi\)
−0.999219 + 0.0395093i \(0.987421\pi\)
\(740\) 2.04692 + 42.9702i 0.0752464 + 1.57962i
\(741\) −1.82754 12.7108i −0.0671362 0.466942i
\(742\) −0.105921 + 10.9134i −0.00388850 + 0.400643i
\(743\) 0.899957 1.97063i 0.0330162 0.0722954i −0.892405 0.451235i \(-0.850984\pi\)
0.925422 + 0.378939i \(0.123711\pi\)
\(744\) 2.29259 + 6.62399i 0.0840503 + 0.242847i
\(745\) 4.81286 1.92678i 0.176330 0.0705917i
\(746\) 0.837250 1.17575i 0.0306539 0.0430474i
\(747\) −3.33678 + 3.18162i −0.122087 + 0.116409i
\(748\) 9.03349 + 2.65247i 0.330297 + 0.0969840i
\(749\) −21.2763 42.2726i −0.777419 1.54461i
\(750\) 0.346425 2.40944i 0.0126497 0.0879804i
\(751\) −0.944812 2.72985i −0.0344767 0.0996138i 0.926449 0.376420i \(-0.122845\pi\)
−0.960926 + 0.276806i \(0.910724\pi\)
\(752\) −21.9866 + 2.09946i −0.801768 + 0.0765595i
\(753\) −1.11013 + 23.3044i −0.0404553 + 0.849261i
\(754\) −10.2007 4.08375i −0.371488 0.148721i
\(755\) −31.5846 + 20.2982i −1.14948 + 0.738726i
\(756\) 4.91135 1.14113i 0.178624 0.0415024i
\(757\) −24.1513 + 7.09145i −0.877793 + 0.257743i −0.689427 0.724356i \(-0.742137\pi\)
−0.188366 + 0.982099i \(0.560319\pi\)
\(758\) 1.06283 1.84088i 0.0386038 0.0668638i
\(759\) 2.48319 9.40017i 0.0901341 0.341205i
\(760\) 4.34649 + 7.52833i 0.157664 + 0.273081i
\(761\) −11.1021 + 45.7635i −0.402451 + 1.65893i 0.305143 + 0.952306i \(0.401296\pi\)
−0.707594 + 0.706619i \(0.750220\pi\)
\(762\) 4.13311 + 4.76987i 0.149727 + 0.172794i
\(763\) −2.28326 26.6414i −0.0826596 0.964485i
\(764\) −1.03384 7.19049i −0.0374029 0.260143i
\(765\) 5.73205 2.95508i 0.207243 0.106841i
\(766\) −7.61224 + 0.726881i −0.275042 + 0.0262633i
\(767\) −1.21097 0.233396i −0.0437258 0.00842745i
\(768\) −7.06057 5.55249i −0.254776 0.200358i
\(769\) 6.86003 + 15.0214i 0.247379 + 0.541684i 0.992064 0.125731i \(-0.0401278\pi\)
−0.744685 + 0.667416i \(0.767400\pi\)
\(770\) 4.22453 + 1.06838i 0.152241 + 0.0385016i
\(771\) −21.3780 6.27714i −0.769909 0.226066i
\(772\) −19.2157 1.83488i −0.691589 0.0660387i
\(773\) 44.7841 17.9289i 1.61077 0.644856i 0.620527 0.784185i \(-0.286919\pi\)
0.990246 + 0.139329i \(0.0444946\pi\)
\(774\) 1.24674 + 0.240290i 0.0448132 + 0.00863703i
\(775\) −6.79474 9.54188i −0.244074 0.342754i
\(776\) 0.866180 + 0.556660i 0.0310941 + 0.0199829i
\(777\) 17.1977 14.6121i 0.616965 0.524206i
\(778\) 5.11433 3.28678i 0.183357 0.117837i
\(779\) 11.5262 2.22149i 0.412969 0.0795933i
\(780\) 17.1095 + 16.3138i 0.612617 + 0.584129i
\(781\) 9.42515 + 16.3248i 0.337258 + 0.584149i
\(782\) −1.55614 + 3.23248i −0.0556475 + 0.115593i
\(783\) 7.63619 0.272895
\(784\) 18.6544 + 15.2652i 0.666230 + 0.545186i
\(785\) −7.38069 8.51777i −0.263428 0.304012i
\(786\) 0.0647410 + 1.35908i 0.00230923 + 0.0484768i
\(787\) 13.4812 10.6018i 0.480554 0.377912i −0.348294 0.937385i \(-0.613239\pi\)
0.828848 + 0.559473i \(0.188996\pi\)
\(788\) −0.560465 + 11.7656i −0.0199657 + 0.419132i
\(789\) 10.2697 + 14.4218i 0.365611 + 0.513429i
\(790\) 3.36480 3.88319i 0.119714 0.138158i
\(791\) −36.6295 + 16.3004i −1.30240 + 0.579575i
\(792\) 1.00976 + 2.21106i 0.0358801 + 0.0785665i
\(793\) 42.9145 40.9189i 1.52394 1.45307i
\(794\) 0.772177 + 3.18296i 0.0274035 + 0.112959i
\(795\) 20.6280 28.9679i 0.731599 1.02739i
\(796\) −8.04518 6.32680i −0.285154 0.224248i
\(797\) −14.0552 + 16.2206i −0.497862 + 0.574563i −0.947949 0.318421i \(-0.896847\pi\)
0.450087 + 0.892984i \(0.351393\pi\)
\(798\) 0.846992 2.05758i 0.0299832 0.0728376i
\(799\) 13.1488 + 8.45020i 0.465170 + 0.298946i
\(800\) −6.42692 2.57295i −0.227226 0.0909675i
\(801\) −4.78076 2.46465i −0.168920 0.0870843i
\(802\) 0.173792 0.502139i 0.00613681 0.0177312i
\(803\) 3.67448 15.1464i 0.129670 0.534506i
\(804\) −12.0168 −0.423799
\(805\) 13.4089 30.7863i 0.472600 1.08507i
\(806\) 8.41215 0.296305
\(807\) −0.146592 + 0.604259i −0.00516027 + 0.0212709i
\(808\) 1.36051 3.93094i 0.0478626 0.138290i
\(809\) −20.8589 10.7535i −0.733360 0.378073i 0.0507369 0.998712i \(-0.483843\pi\)
−0.784097 + 0.620639i \(0.786873\pi\)
\(810\) 0.754209 + 0.301940i 0.0265002 + 0.0106091i
\(811\) 1.50320 + 0.966045i 0.0527843 + 0.0339224i 0.566767 0.823878i \(-0.308194\pi\)
−0.513983 + 0.857801i \(0.671830\pi\)
\(812\) 23.5061 + 30.4950i 0.824904 + 1.07016i
\(813\) −3.95861 + 4.56847i −0.138834 + 0.160223i
\(814\) 4.17260 + 3.28137i 0.146250 + 0.115012i
\(815\) 15.9303 22.3710i 0.558014 0.783621i
\(816\) 1.97829 + 8.15460i 0.0692538 + 0.285468i
\(817\) −8.20082 + 7.81947i −0.286910 + 0.273568i
\(818\) 0.909523 + 1.99158i 0.0318007 + 0.0696339i
\(819\) 1.29860 12.3333i 0.0453766 0.430961i
\(820\) −14.1513 + 16.3315i −0.494186 + 0.570321i
\(821\) −10.4631 14.6934i −0.365165 0.512803i 0.590588 0.806973i \(-0.298896\pi\)
−0.955753 + 0.294171i \(0.904957\pi\)
\(822\) −0.155051 + 3.25491i −0.00540801 + 0.113528i
\(823\) 25.4911 20.0464i 0.888565 0.698775i −0.0656673 0.997842i \(-0.520918\pi\)
0.954232 + 0.299066i \(0.0966752\pi\)
\(824\) 0.873575 + 18.3386i 0.0304324 + 0.638856i
\(825\) −2.66010 3.06992i −0.0926127 0.106881i
\(826\) −0.160132 0.141499i −0.00557169 0.00492338i
\(827\) −17.1212 −0.595364 −0.297682 0.954665i \(-0.596213\pi\)
−0.297682 + 0.954665i \(0.596213\pi\)
\(828\) 8.81988 2.39672i 0.306512 0.0832919i
\(829\) 14.7626 + 25.5696i 0.512726 + 0.888067i 0.999891 + 0.0147576i \(0.00469765\pi\)
−0.487165 + 0.873310i \(0.661969\pi\)
\(830\) −2.71081 2.58476i −0.0940937 0.0897182i
\(831\) 23.2814 4.48713i 0.807624 0.155657i
\(832\) −22.9744 + 14.7648i −0.796495 + 0.511877i
\(833\) −3.69902 16.6519i −0.128164 0.576954i
\(834\) −5.12036 3.29066i −0.177304 0.113946i
\(835\) 13.6660 + 19.1912i 0.472931 + 0.664138i
\(836\) −10.3934 2.00317i −0.359465 0.0692811i
\(837\) −5.42742 + 2.17281i −0.187599 + 0.0751034i
\(838\) 4.07586 + 0.389198i 0.140798 + 0.0134446i
\(839\) −9.48476 2.78498i −0.327450 0.0961481i 0.113875 0.993495i \(-0.463674\pi\)
−0.441326 + 0.897347i \(0.645492\pi\)
\(840\) 2.28689 + 8.07763i 0.0789052 + 0.278705i
\(841\) 12.1764 + 26.6626i 0.419876 + 0.919401i
\(842\) 5.65006 + 4.44325i 0.194714 + 0.153125i
\(843\) 18.0113 + 3.47140i 0.620342 + 0.119561i
\(844\) −36.1164 + 3.44870i −1.24318 + 0.118709i
\(845\) 21.1021 10.8789i 0.725934 0.374245i
\(846\) 0.280215 + 1.94894i 0.00963399 + 0.0670059i
\(847\) 14.9511 10.4294i 0.513725 0.358359i
\(848\) 30.3017 + 34.9701i 1.04057 + 1.20088i
\(849\) −5.15197 + 21.2367i −0.176815 + 0.728842i
\(850\) 0.749432 + 1.29805i 0.0257053 + 0.0445229i
\(851\) 30.1713 27.6229i 1.03426 0.946902i
\(852\) −8.86008 + 15.3461i −0.303541 + 0.525749i
\(853\) 33.8947 9.95238i 1.16053 0.340763i 0.355893 0.934527i \(-0.384177\pi\)
0.804639 + 0.593764i \(0.202359\pi\)
\(854\) 10.0078 2.32527i 0.342462 0.0795691i
\(855\) −6.09931 + 3.91979i −0.208592 + 0.134054i
\(856\) 19.9102 + 7.97084i 0.680517 + 0.272438i
\(857\) −1.85375 + 38.9149i −0.0633228 + 1.32931i 0.713973 + 0.700174i \(0.246894\pi\)
−0.777295 + 0.629136i \(0.783409\pi\)
\(858\) 2.90390 0.277289i 0.0991376 0.00946649i
\(859\) 7.93514 + 22.9271i 0.270743 + 0.782262i 0.995629 + 0.0933929i \(0.0297713\pi\)
−0.724886 + 0.688869i \(0.758108\pi\)
\(860\) 2.96873 20.6479i 0.101233 0.704089i
\(861\) 11.3175 + 0.649264i 0.385700 + 0.0221269i
\(862\) 7.38648 + 2.16887i 0.251585 + 0.0738719i
\(863\) −8.29736 + 7.91152i −0.282445 + 0.269311i −0.818037 0.575166i \(-0.804937\pi\)
0.535591 + 0.844477i \(0.320089\pi\)
\(864\) −2.00412 + 2.81440i −0.0681816 + 0.0957477i
\(865\) −8.22010 + 3.29083i −0.279492 + 0.111892i
\(866\) −4.08367 11.7990i −0.138769 0.400946i
\(867\) −4.59526 + 10.0622i −0.156063 + 0.341731i
\(868\) −25.3841 14.9858i −0.861592 0.508653i
\(869\) 1.82477 + 12.6916i 0.0619011 + 0.430532i
\(870\) 0.295182 + 6.19664i 0.0100076 + 0.210086i
\(871\) −9.66678 + 27.9303i −0.327546 + 0.946383i
\(872\) 8.76983 + 8.36202i 0.296984 + 0.283174i
\(873\) −0.429375 + 0.743700i −0.0145322 + 0.0251704i
\(874\) 1.39614 3.78398i 0.0472250 0.127995i
\(875\) 11.1707 + 17.7585i 0.377638 + 0.600348i
\(876\) 14.0579 4.12776i 0.474971 0.139464i
\(877\) −20.6511 + 3.98017i −0.697337 + 0.134401i −0.525587 0.850740i \(-0.676154\pi\)
−0.171750 + 0.985141i \(0.554942\pi\)
\(878\) 3.96453 + 2.04386i 0.133796 + 0.0689768i
\(879\) −6.93490 + 5.45367i −0.233908 + 0.183948i
\(880\) 16.4210 8.46562i 0.553552 0.285376i
\(881\) 11.1323 24.3763i 0.375057 0.821259i −0.624145 0.781308i \(-0.714553\pi\)
0.999202 0.0399509i \(-0.0127201\pi\)
\(882\) 1.28020 1.72588i 0.0431064 0.0581134i
\(883\) 2.68729 18.6905i 0.0904345 0.628986i −0.893314 0.449433i \(-0.851626\pi\)
0.983748 0.179553i \(-0.0574650\pi\)
\(884\) 21.6695 + 2.06918i 0.728823 + 0.0695942i
\(885\) 0.164158 + 0.676667i 0.00551810 + 0.0227459i
\(886\) 1.46175 + 6.02543i 0.0491086 + 0.202428i
\(887\) 0.779227 + 0.0744071i 0.0261639 + 0.00249835i 0.108130 0.994137i \(-0.465514\pi\)
−0.0819659 + 0.996635i \(0.526120\pi\)
\(888\) −1.45543 + 10.1227i −0.0488411 + 0.339697i
\(889\) −53.7649 8.26358i −1.80322 0.277152i
\(890\) 1.81522 3.97478i 0.0608463 0.133235i
\(891\) −1.80194 + 0.928966i −0.0603674 + 0.0311215i
\(892\) −3.41324 + 2.68420i −0.114284 + 0.0898738i
\(893\) −15.6187 8.05200i −0.522660 0.269450i
\(894\) 0.590484 0.113807i 0.0197487 0.00380626i
\(895\) −23.7517 + 6.97412i −0.793931 + 0.233119i
\(896\) −22.9979 + 0.871913i −0.768306 + 0.0291286i
\(897\) 1.52441 22.4279i 0.0508986 0.748845i
\(898\) 1.09923 1.90392i 0.0366817 0.0635346i
\(899\) −32.3094 30.8070i −1.07758 1.02747i
\(900\) 1.24892 3.60853i 0.0416308 0.120284i
\(901\) −1.55808 32.7081i −0.0519072 1.08967i
\(902\) 0.379485 + 2.63937i 0.0126355 + 0.0878815i
\(903\) −9.52958 + 5.37927i −0.317124 + 0.179011i
\(904\) 7.54767 16.5271i 0.251032 0.549683i
\(905\) −0.310052 0.895836i −0.0103065 0.0297786i
\(906\) −4.04309 + 1.61861i −0.134323 + 0.0537747i
\(907\) −25.2635 + 35.4776i −0.838860 + 1.17801i 0.143247 + 0.989687i \(0.454246\pi\)
−0.982106 + 0.188327i \(0.939694\pi\)
\(908\) −28.9191 + 27.5744i −0.959716 + 0.915087i
\(909\) 3.32883 + 0.977433i 0.110410 + 0.0324194i
\(910\) 10.0585 + 0.577035i 0.333435 + 0.0191285i
\(911\) −2.54349 + 17.6903i −0.0842695 + 0.586107i 0.903310 + 0.428988i \(0.141130\pi\)
−0.987580 + 0.157119i \(0.949779\pi\)
\(912\) −3.08549 8.91494i −0.102171 0.295203i
\(913\) 9.30460 0.888481i 0.307937 0.0294044i
\(914\) 0.404094 8.48297i 0.0133662 0.280592i
\(915\) −31.0802 12.4426i −1.02748 0.411341i
\(916\) −6.68159 + 4.29400i −0.220766 + 0.141878i
\(917\) −8.00964 8.56519i −0.264502 0.282848i
\(918\) 0.717754 0.210751i 0.0236894 0.00695583i
\(919\) 5.12792 8.88182i 0.169155 0.292984i −0.768968 0.639287i \(-0.779230\pi\)
0.938123 + 0.346303i \(0.112563\pi\)
\(920\) 4.68471 + 14.4784i 0.154450 + 0.477339i
\(921\) −9.08343 15.7330i −0.299309 0.518419i
\(922\) −1.84201 + 7.59288i −0.0606635 + 0.250058i
\(923\) 28.5412 + 32.9383i 0.939446 + 1.08418i
\(924\) −9.25665 4.33643i −0.304521 0.142658i
\(925\) −2.43224 16.9166i −0.0799715 0.556214i
\(926\) 3.87171 1.99601i 0.127232 0.0655928i
\(927\) −15.2431 + 1.45554i −0.500649 + 0.0478062i
\(928\) −25.9066 4.99309i −0.850426 0.163906i
\(929\) −24.8386 19.5333i −0.814929 0.640867i 0.121159 0.992633i \(-0.461339\pi\)
−0.936088 + 0.351766i \(0.885581\pi\)
\(930\) −1.97300 4.32027i −0.0646972 0.141667i
\(931\) 5.91937 + 18.2409i 0.193999 + 0.597823i
\(932\) −29.2694 8.59428i −0.958752 0.281515i
\(933\) 25.4440 + 2.42961i 0.832999 + 0.0795417i
\(934\) −0.895144 + 0.358361i −0.0292900 + 0.0117259i
\(935\) −12.8377 2.47427i −0.419838 0.0809172i
\(936\) 3.25994 + 4.57795i 0.106555 + 0.149635i
\(937\) 20.2745 + 13.0296i 0.662339 + 0.425659i 0.828156 0.560497i \(-0.189390\pi\)
−0.165817 + 0.986156i \(0.553026\pi\)
\(938\) −3.90275 + 3.31599i −0.127429 + 0.108271i
\(939\) 12.2816 7.89289i 0.400794 0.257575i
\(940\) 31.7647 6.12215i 1.03605 0.199682i
\(941\) −29.7199 28.3379i −0.968842 0.923789i 0.0282806 0.999600i \(-0.490997\pi\)
−0.997122 + 0.0758114i \(0.975845\pi\)
\(942\) −0.653677 1.13220i −0.0212979 0.0368891i
\(943\) 20.5443 + 0.416393i 0.669014 + 0.0135596i
\(944\) −0.905995 −0.0294876
\(945\) −6.63866 + 2.22575i −0.215956 + 0.0724038i
\(946\) −1.68564 1.94533i −0.0548049 0.0632482i
\(947\) −1.71279 35.9559i −0.0556582 1.16841i −0.838040 0.545609i \(-0.816298\pi\)
0.782381 0.622800i \(-0.214005\pi\)
\(948\) −9.47458 + 7.45089i −0.307720 + 0.241994i
\(949\) 1.71465 35.9949i 0.0556599 1.16845i
\(950\) −0.977459 1.37265i −0.0317130 0.0445346i
\(951\) −1.68551 + 1.94518i −0.0546564 + 0.0630768i
\(952\) 6.25299 + 4.54483i 0.202661 + 0.147299i
\(953\) 6.16713 + 13.5041i 0.199773 + 0.437442i 0.982831 0.184507i \(-0.0590687\pi\)
−0.783058 + 0.621948i \(0.786341\pi\)
\(954\) 2.98545 2.84662i 0.0966576 0.0921628i
\(955\) 2.37829 + 9.80343i 0.0769595 + 0.317232i
\(956\) −8.44579 + 11.8605i −0.273156 + 0.383594i
\(957\) −12.1688 9.56966i −0.393362 0.309343i
\(958\) 4.29570 4.95750i 0.138788 0.160170i
\(959\) −17.1458 22.2436i −0.553668 0.718284i
\(960\) 12.9713 + 8.33614i 0.418647 + 0.269048i
\(961\) 2.95036 + 1.18115i 0.0951730 + 0.0381015i
\(962\) 10.9089 + 5.62394i 0.351718 + 0.181323i
\(963\) −5.85031 + 16.9034i −0.188524 + 0.544704i
\(964\) −11.4025 + 47.0019i −0.367251 + 1.51383i
\(965\) 26.8054 0.862895
\(966\) 2.20311 3.21221i 0.0708839 0.103351i
\(967\) 44.4167 1.42834 0.714172 0.699970i \(-0.246803\pi\)
0.714172 + 0.699970i \(0.246803\pi\)
\(968\) −1.94762 + 8.02818i −0.0625988 + 0.258036i
\(969\) −2.18350 + 6.30882i −0.0701442 + 0.202668i
\(970\) −0.620098 0.319682i −0.0199101 0.0102644i
\(971\) −37.3140 14.9383i −1.19746 0.479392i −0.314692 0.949194i \(-0.601901\pi\)
−0.882772 + 0.469801i \(0.844325\pi\)
\(972\) −1.60323 1.03033i −0.0514236 0.0330480i
\(973\) 51.9944 6.96131i 1.66686 0.223169i
\(974\) −5.87733 + 6.78280i −0.188322 + 0.217335i
\(975\) −7.38254 5.80569i −0.236430 0.185931i
\(976\) 25.2677 35.4836i 0.808801 1.13580i
\(977\) −9.54594 39.3489i −0.305402 1.25888i −0.893121 0.449817i \(-0.851489\pi\)
0.587719 0.809065i \(-0.300026\pi\)
\(978\) 2.30557 2.19835i 0.0737239 0.0702956i
\(979\) 4.52978 + 9.91884i 0.144773 + 0.317008i
\(980\) −29.3240 19.6599i −0.936721 0.628014i
\(981\) −6.61831 + 7.63793i −0.211306 + 0.243860i
\(982\) 0.363402 + 0.510327i 0.0115966 + 0.0162852i
\(983\) 2.65724 55.7823i 0.0847528 1.77918i −0.411898 0.911230i \(-0.635134\pi\)
0.496651 0.867950i \(-0.334563\pi\)
\(984\) −4.03815 + 3.17564i −0.128731 + 0.101236i
\(985\) −0.778292 16.3384i −0.0247984 0.520583i
\(986\) 3.74076 + 4.31706i 0.119130 + 0.137483i
\(987\) −12.7166 11.2369i −0.404774 0.357676i
\(988\) −24.4729 −0.778585
\(989\) −16.9009 + 10.3837i −0.537417 + 0.330184i
\(990\) −0.823496 1.42634i −0.0261724 0.0453319i
\(991\) 40.7423 + 38.8477i 1.29422 + 1.23404i 0.956136 + 0.292924i \(0.0946283\pi\)
0.338087 + 0.941115i \(0.390220\pi\)
\(992\) 19.8338 3.82266i 0.629725 0.121370i
\(993\) 22.8707 14.6981i 0.725780 0.466431i
\(994\) 1.35717 + 7.42895i 0.0430468 + 0.235632i
\(995\) 11.9565 + 7.68399i 0.379047 + 0.243599i
\(996\) 5.09670 + 7.15731i 0.161495 + 0.226788i
\(997\) −3.01123 0.580367i −0.0953667 0.0183804i 0.141345 0.989960i \(-0.454857\pi\)
−0.236711 + 0.971580i \(0.576070\pi\)
\(998\) −7.38058 + 2.95474i −0.233628 + 0.0935306i
\(999\) −8.49095 0.810787i −0.268642 0.0256522i
Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))

Twists

       By twisting character
Char Parity Ord Type Twist Min Dim
1.1 even 1 trivial 483.2.y.b.331.7 yes 320
7.4 even 3 inner 483.2.y.b.193.7 320
23.18 even 11 inner 483.2.y.b.478.7 yes 320
161.18 even 33 inner 483.2.y.b.340.7 yes 320
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
483.2.y.b.193.7 320 7.4 even 3 inner
483.2.y.b.331.7 yes 320 1.1 even 1 trivial
483.2.y.b.340.7 yes 320 161.18 even 33 inner
483.2.y.b.478.7 yes 320 23.18 even 11 inner