Properties

Label 605.2.s.a.16.19
Level $605$
Weight $2$
Character 605.16
Analytic conductor $4.831$
Analytic rank $0$
Dimension $880$
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] = [605,2,Mod(16,605)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(605, base_ring=CyclotomicField(110))
 
chi = DirichletCharacter(H, H._module([0, 4]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("605.16");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 605 = 5 \cdot 11^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 605.s (of order \(55\), degree \(40\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(4.83094932229\)
Analytic rank: \(0\)
Dimension: \(880\)
Relative dimension: \(22\) over \(\Q(\zeta_{55})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{55}]$

Embedding invariants

Embedding label 16.19
Character \(\chi\) \(=\) 605.16
Dual form 605.2.s.a.416.19

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(1.92192 + 0.220520i) q^{2} +(-2.15448 - 1.56532i) q^{3} +(1.69713 + 0.394651i) q^{4} +(0.564443 - 0.825472i) q^{5} +(-3.79556 - 3.48353i) q^{6} +(-0.812019 - 0.835548i) q^{7} +(-0.469333 - 0.167458i) q^{8} +(1.26451 + 3.89175i) q^{9} +O(q^{10})\) \(q+(1.92192 + 0.220520i) q^{2} +(-2.15448 - 1.56532i) q^{3} +(1.69713 + 0.394651i) q^{4} +(0.564443 - 0.825472i) q^{5} +(-3.79556 - 3.48353i) q^{6} +(-0.812019 - 0.835548i) q^{7} +(-0.469333 - 0.167458i) q^{8} +(1.26451 + 3.89175i) q^{9} +(1.26685 - 1.46202i) q^{10} +(-0.754048 - 3.22977i) q^{11} +(-3.03868 - 3.50682i) q^{12} +(-1.81713 + 3.01337i) q^{13} +(-1.37638 - 1.78492i) q^{14} +(-2.50821 + 0.894929i) q^{15} +(-3.99237 - 1.96292i) q^{16} +(2.84888 - 2.32952i) q^{17} +(1.57207 + 7.75849i) q^{18} +(-7.59794 - 0.434466i) q^{19} +(1.28371 - 1.17818i) q^{20} +(0.441578 + 3.07125i) q^{21} +(-0.736993 - 6.37365i) q^{22} +(-0.195161 + 1.35738i) q^{23} +(0.749044 + 1.09544i) q^{24} +(-0.362808 - 0.931864i) q^{25} +(-4.15688 + 5.39074i) q^{26} +(0.898673 - 2.76583i) q^{27} +(-1.04835 - 1.73850i) q^{28} +(3.06922 - 7.88322i) q^{29} +(-5.01794 + 1.16687i) q^{30} +(1.39397 + 0.589095i) q^{31} +(-6.40174 - 4.11415i) q^{32} +(-3.43105 + 8.13881i) q^{33} +(5.98903 - 3.84892i) q^{34} +(-1.14806 + 0.198680i) q^{35} +(0.610150 + 7.10384i) q^{36} +(0.176829 - 2.05878i) q^{37} +(-14.5068 - 2.51051i) q^{38} +(8.63186 - 3.64786i) q^{39} +(-0.403143 + 0.292901i) q^{40} +(7.09695 - 4.00783i) q^{41} +(0.171408 + 6.00007i) q^{42} +(-9.34690 + 2.74450i) q^{43} +(-0.00508687 - 5.77892i) q^{44} +(3.92627 + 1.15286i) q^{45} +(-0.674414 + 2.56574i) q^{46} +(-0.288069 + 1.42168i) q^{47} +(5.52889 + 10.4784i) q^{48} +(0.161127 - 5.64018i) q^{49} +(-0.491793 - 1.87098i) q^{50} +(-9.78431 + 0.559487i) q^{51} +(-4.27313 + 4.39695i) q^{52} +(2.64464 - 1.30028i) q^{53} +(2.33710 - 5.11753i) q^{54} +(-3.09170 - 1.20058i) q^{55} +(0.241188 + 0.528129i) q^{56} +(15.6896 + 12.8293i) q^{57} +(7.63720 - 14.4741i) q^{58} +(10.6922 + 6.03815i) q^{59} +(-4.60995 + 0.528942i) q^{60} +(9.37015 - 1.07512i) q^{61} +(2.54918 + 1.43959i) q^{62} +(2.22494 - 4.21673i) q^{63} +(-4.50835 - 3.68646i) q^{64} +(1.46179 + 3.20086i) q^{65} +(-8.38898 + 14.8855i) q^{66} +(2.31585 - 5.07101i) q^{67} +(5.75426 - 2.82918i) q^{68} +(2.54521 - 2.61895i) q^{69} +(-2.25029 + 0.128676i) q^{70} +(-0.473434 - 1.80113i) q^{71} +(0.0582289 - 2.03828i) q^{72} +(3.24163 + 6.14357i) q^{73} +(0.793854 - 3.91782i) q^{74} +(-0.677005 + 2.57560i) q^{75} +(-12.7232 - 3.73588i) q^{76} +(-2.08633 + 3.25268i) q^{77} +(17.3942 - 5.10739i) q^{78} +(-0.322020 - 11.2722i) q^{79} +(-3.87380 + 2.18763i) q^{80} +(3.66597 - 2.66348i) q^{81} +(14.5236 - 6.13772i) q^{82} +(0.556931 + 0.0963808i) q^{83} +(-0.462653 + 5.38657i) q^{84} +(-0.314920 - 3.66655i) q^{85} +(-18.5692 + 3.21353i) q^{86} +(-18.9524 + 12.1799i) q^{87} +(-0.186950 + 1.64211i) q^{88} +(9.37182 + 6.02290i) q^{89} +(7.29176 + 3.08152i) q^{90} +(3.99336 - 0.928615i) q^{91} +(-0.866904 + 2.22663i) q^{92} +(-2.08115 - 3.45120i) q^{93} +(-0.867154 + 2.66883i) q^{94} +(-4.64725 + 6.02666i) q^{95} +(7.35247 + 18.8847i) q^{96} +(3.89746 + 5.69986i) q^{97} +(1.55345 - 10.8045i) q^{98} +(11.6160 - 7.01863i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 880 q + 2 q^{2} + 5 q^{3} + 24 q^{4} - 22 q^{5} + 7 q^{6} + q^{7} - 4 q^{8} - 217 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 880 q + 2 q^{2} + 5 q^{3} + 24 q^{4} - 22 q^{5} + 7 q^{6} + q^{7} - 4 q^{8} - 217 q^{9} - 2 q^{10} - 3 q^{11} - 49 q^{12} + 2 q^{13} + 60 q^{14} - 16 q^{15} + 18 q^{16} + 13 q^{17} - 15 q^{19} - 19 q^{20} + 42 q^{21} - 301 q^{22} + 31 q^{23} - 409 q^{24} + 22 q^{25} - 4 q^{26} - 4 q^{27} + 6 q^{28} + 9 q^{29} + 19 q^{30} - 10 q^{31} + 94 q^{32} - 5 q^{33} + 12 q^{34} + 4 q^{35} + 35 q^{36} + 73 q^{37} - 8 q^{38} - 21 q^{39} + 4 q^{40} - 8 q^{41} - 17 q^{42} + 93 q^{43} + q^{44} + 80 q^{45} + 129 q^{46} - 178 q^{47} + 153 q^{48} - 177 q^{49} + 2 q^{50} - 12 q^{51} - 126 q^{52} - 99 q^{53} - 93 q^{54} - 7 q^{55} - 25 q^{56} + 100 q^{57} - 26 q^{58} + 25 q^{59} - 4 q^{60} - 6 q^{61} + 63 q^{62} - 25 q^{63} + 8 q^{64} - 2 q^{65} + 64 q^{66} + 47 q^{67} - 11 q^{68} + 67 q^{69} - 60 q^{70} + 18 q^{71} - 641 q^{72} - 35 q^{73} - 108 q^{74} - 5 q^{75} - 132 q^{76} - 166 q^{77} + 115 q^{78} - 103 q^{79} - 23 q^{80} - 230 q^{81} - 72 q^{82} + 149 q^{83} - 28 q^{84} - 21 q^{85} + 49 q^{86} + 6 q^{87} - 85 q^{88} + 44 q^{89} - 34 q^{90} - 135 q^{92} - 172 q^{93} + 49 q^{94} - 106 q^{95} - 115 q^{96} - 421 q^{97} - 192 q^{98} - 156 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/605\mathbb{Z}\right)^\times\).

\(n\) \(122\) \(486\)
\(\chi(n)\) \(1\) \(e\left(\frac{2}{55}\right)\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.92192 + 0.220520i 1.35900 + 0.155931i 0.762661 0.646799i \(-0.223893\pi\)
0.596343 + 0.802730i \(0.296620\pi\)
\(3\) −2.15448 1.56532i −1.24389 0.903740i −0.246040 0.969260i \(-0.579129\pi\)
−0.997851 + 0.0655202i \(0.979129\pi\)
\(4\) 1.69713 + 0.394651i 0.848565 + 0.197325i
\(5\) 0.564443 0.825472i 0.252427 0.369162i
\(6\) −3.79556 3.48353i −1.54953 1.42215i
\(7\) −0.812019 0.835548i −0.306914 0.315807i 0.546074 0.837737i \(-0.316122\pi\)
−0.852989 + 0.521929i \(0.825212\pi\)
\(8\) −0.469333 0.167458i −0.165934 0.0592052i
\(9\) 1.26451 + 3.89175i 0.421502 + 1.29725i
\(10\) 1.26685 1.46202i 0.400613 0.462332i
\(11\) −0.754048 3.22977i −0.227354 0.973812i
\(12\) −3.03868 3.50682i −0.877191 1.01233i
\(13\) −1.81713 + 3.01337i −0.503981 + 0.835758i −0.999460 0.0328618i \(-0.989538\pi\)
0.495479 + 0.868620i \(0.334992\pi\)
\(14\) −1.37638 1.78492i −0.367854 0.477041i
\(15\) −2.50821 + 0.894929i −0.647618 + 0.231070i
\(16\) −3.99237 1.96292i −0.998092 0.490729i
\(17\) 2.84888 2.32952i 0.690955 0.564991i −0.221004 0.975273i \(-0.570933\pi\)
0.911959 + 0.410282i \(0.134570\pi\)
\(18\) 1.57207 + 7.75849i 0.370541 + 1.82869i
\(19\) −7.59794 0.434466i −1.74309 0.0996734i −0.843697 0.536819i \(-0.819626\pi\)
−0.899391 + 0.437146i \(0.855989\pi\)
\(20\) 1.28371 1.17818i 0.287045 0.263448i
\(21\) 0.441578 + 3.07125i 0.0963603 + 0.670201i
\(22\) −0.736993 6.37365i −0.157127 1.35887i
\(23\) −0.195161 + 1.35738i −0.0406940 + 0.283033i 0.959306 + 0.282369i \(0.0911203\pi\)
−1.00000 0.000663570i \(0.999789\pi\)
\(24\) 0.749044 + 1.09544i 0.152898 + 0.223606i
\(25\) −0.362808 0.931864i −0.0725615 0.186373i
\(26\) −4.15688 + 5.39074i −0.815232 + 1.05721i
\(27\) 0.898673 2.76583i 0.172950 0.532284i
\(28\) −1.04835 1.73850i −0.198120 0.328545i
\(29\) 3.06922 7.88322i 0.569939 1.46388i −0.291777 0.956486i \(-0.594246\pi\)
0.861716 0.507391i \(-0.169390\pi\)
\(30\) −5.01794 + 1.16687i −0.916146 + 0.213041i
\(31\) 1.39397 + 0.589095i 0.250364 + 0.105805i 0.510840 0.859676i \(-0.329334\pi\)
−0.260477 + 0.965480i \(0.583880\pi\)
\(32\) −6.40174 4.11415i −1.13168 0.727286i
\(33\) −3.43105 + 8.13881i −0.597269 + 1.41678i
\(34\) 5.98903 3.84892i 1.02711 0.660084i
\(35\) −1.14806 + 0.198680i −0.194058 + 0.0335830i
\(36\) 0.610150 + 7.10384i 0.101692 + 1.18397i
\(37\) 0.176829 2.05878i 0.0290705 0.338462i −0.967319 0.253562i \(-0.918398\pi\)
0.996390 0.0848993i \(-0.0270569\pi\)
\(38\) −14.5068 2.51051i −2.35332 0.407258i
\(39\) 8.63186 3.64786i 1.38220 0.584124i
\(40\) −0.403143 + 0.292901i −0.0637426 + 0.0463117i
\(41\) 7.09695 4.00783i 1.10836 0.625918i 0.174893 0.984587i \(-0.444042\pi\)
0.933465 + 0.358669i \(0.116769\pi\)
\(42\) 0.171408 + 6.00007i 0.0264489 + 0.925831i
\(43\) −9.34690 + 2.74450i −1.42539 + 0.418532i −0.901323 0.433147i \(-0.857403\pi\)
−0.524065 + 0.851678i \(0.675585\pi\)
\(44\) −0.00508687 5.77892i −0.000766875 0.871206i
\(45\) 3.92627 + 1.15286i 0.585294 + 0.171858i
\(46\) −0.674414 + 2.56574i −0.0994369 + 0.378297i
\(47\) −0.288069 + 1.42168i −0.0420192 + 0.207373i −0.995592 0.0937896i \(-0.970102\pi\)
0.953573 + 0.301162i \(0.0973746\pi\)
\(48\) 5.52889 + 10.4784i 0.798027 + 1.51243i
\(49\) 0.161127 5.64018i 0.0230182 0.805740i
\(50\) −0.491793 1.87098i −0.0695501 0.264596i
\(51\) −9.78431 + 0.559487i −1.37008 + 0.0783438i
\(52\) −4.27313 + 4.39695i −0.592576 + 0.609747i
\(53\) 2.64464 1.30028i 0.363269 0.178607i −0.250455 0.968128i \(-0.580580\pi\)
0.613723 + 0.789521i \(0.289671\pi\)
\(54\) 2.33710 5.11753i 0.318039 0.696408i
\(55\) −3.09170 1.20058i −0.416885 0.161886i
\(56\) 0.241188 + 0.528129i 0.0322302 + 0.0705742i
\(57\) 15.6896 + 12.8293i 2.07813 + 1.69928i
\(58\) 7.63720 14.4741i 1.00281 1.90054i
\(59\) 10.6922 + 6.03815i 1.39200 + 0.786100i 0.991489 0.130191i \(-0.0415592\pi\)
0.400513 + 0.916291i \(0.368832\pi\)
\(60\) −4.60995 + 0.528942i −0.595142 + 0.0682861i
\(61\) 9.37015 1.07512i 1.19972 0.137656i 0.508995 0.860769i \(-0.330017\pi\)
0.690729 + 0.723114i \(0.257290\pi\)
\(62\) 2.54918 + 1.43959i 0.323747 + 0.182828i
\(63\) 2.22494 4.21673i 0.280316 0.531258i
\(64\) −4.50835 3.68646i −0.563544 0.460808i
\(65\) 1.46179 + 3.20086i 0.181312 + 0.397018i
\(66\) −8.38898 + 14.8855i −1.03261 + 1.83228i
\(67\) 2.31585 5.07101i 0.282926 0.619522i −0.713802 0.700347i \(-0.753028\pi\)
0.996728 + 0.0808255i \(0.0257557\pi\)
\(68\) 5.75426 2.82918i 0.697807 0.343089i
\(69\) 2.54521 2.61895i 0.306407 0.315285i
\(70\) −2.25029 + 0.128676i −0.268962 + 0.0153798i
\(71\) −0.473434 1.80113i −0.0561862 0.213755i 0.933130 0.359539i \(-0.117066\pi\)
−0.989316 + 0.145784i \(0.953430\pi\)
\(72\) 0.0582289 2.03828i 0.00686234 0.240213i
\(73\) 3.24163 + 6.14357i 0.379404 + 0.719051i 0.997763 0.0668449i \(-0.0212933\pi\)
−0.618359 + 0.785896i \(0.712202\pi\)
\(74\) 0.793854 3.91782i 0.0922837 0.455438i
\(75\) −0.677005 + 2.57560i −0.0781738 + 0.297404i
\(76\) −12.7232 3.73588i −1.45946 0.428535i
\(77\) −2.08633 + 3.25268i −0.237759 + 0.370677i
\(78\) 17.3942 5.10739i 1.96950 0.578299i
\(79\) −0.322020 11.2722i −0.0362300 1.26822i −0.790832 0.612034i \(-0.790352\pi\)
0.754602 0.656183i \(-0.227830\pi\)
\(80\) −3.87380 + 2.18763i −0.433104 + 0.244585i
\(81\) 3.66597 2.66348i 0.407330 0.295943i
\(82\) 14.5236 6.13772i 1.60386 0.677798i
\(83\) 0.556931 + 0.0963808i 0.0611312 + 0.0105792i 0.201006 0.979590i \(-0.435579\pi\)
−0.139875 + 0.990169i \(0.544670\pi\)
\(84\) −0.462653 + 5.38657i −0.0504796 + 0.587723i
\(85\) −0.314920 3.66655i −0.0341579 0.397693i
\(86\) −18.5692 + 3.21353i −2.00237 + 0.346524i
\(87\) −18.9524 + 12.1799i −2.03191 + 1.30583i
\(88\) −0.186950 + 1.64211i −0.0199289 + 0.175049i
\(89\) 9.37182 + 6.02290i 0.993410 + 0.638426i 0.933049 0.359750i \(-0.117138\pi\)
0.0603619 + 0.998177i \(0.480775\pi\)
\(90\) 7.29176 + 3.08152i 0.768619 + 0.324821i
\(91\) 3.99336 0.928615i 0.418617 0.0973453i
\(92\) −0.866904 + 2.22663i −0.0903810 + 0.232142i
\(93\) −2.08115 3.45120i −0.215805 0.357873i
\(94\) −0.867154 + 2.66883i −0.0894401 + 0.275268i
\(95\) −4.64725 + 6.02666i −0.476798 + 0.618322i
\(96\) 7.35247 + 18.8847i 0.750408 + 1.92741i
\(97\) 3.89746 + 5.69986i 0.395728 + 0.578733i 0.970956 0.239260i \(-0.0769048\pi\)
−0.575228 + 0.817993i \(0.695087\pi\)
\(98\) 1.55345 10.8045i 0.156922 1.09142i
\(99\) 11.6160 7.01863i 1.16745 0.705399i
\(100\) −0.247971 1.72468i −0.0247971 0.172468i
\(101\) −9.77560 + 8.97197i −0.972709 + 0.892744i −0.994256 0.107024i \(-0.965868\pi\)
0.0215476 + 0.999768i \(0.493141\pi\)
\(102\) −18.9281 1.08235i −1.87416 0.107168i
\(103\) −2.12205 10.4727i −0.209092 1.03191i −0.937824 0.347110i \(-0.887163\pi\)
0.728733 0.684798i \(-0.240110\pi\)
\(104\) 1.35745 1.10998i 0.133109 0.108843i
\(105\) 2.78447 + 1.36903i 0.271737 + 0.133604i
\(106\) 5.36952 1.91584i 0.521534 0.186083i
\(107\) −3.77004 4.88908i −0.364464 0.472645i 0.573586 0.819145i \(-0.305552\pi\)
−0.938050 + 0.346500i \(0.887370\pi\)
\(108\) 2.61670 4.33931i 0.251792 0.417550i
\(109\) −3.08640 3.56189i −0.295623 0.341167i 0.588435 0.808545i \(-0.299744\pi\)
−0.884058 + 0.467377i \(0.845199\pi\)
\(110\) −5.67726 2.98919i −0.541305 0.285009i
\(111\) −3.60363 + 4.15882i −0.342042 + 0.394737i
\(112\) 1.60177 + 4.92974i 0.151353 + 0.465817i
\(113\) −4.73556 1.68964i −0.445484 0.158948i 0.103774 0.994601i \(-0.466908\pi\)
−0.549259 + 0.835652i \(0.685090\pi\)
\(114\) 27.3250 + 28.1167i 2.55922 + 2.63337i
\(115\) 1.01032 + 0.927263i 0.0942128 + 0.0864677i
\(116\) 8.31998 12.1676i 0.772490 1.12973i
\(117\) −14.0250 3.26138i −1.29662 0.301515i
\(118\) 19.2180 + 13.9627i 1.76916 + 1.28537i
\(119\) −4.25977 0.488763i −0.390492 0.0448048i
\(120\) 1.32705 0.121142
\(121\) −9.86282 + 4.87080i −0.896620 + 0.442800i
\(122\) 18.2458 1.65189
\(123\) −21.5638 2.47422i −1.94434 0.223093i
\(124\) 2.13325 + 1.54990i 0.191572 + 0.139185i
\(125\) −0.974012 0.226497i −0.0871183 0.0202585i
\(126\) 5.20604 7.61358i 0.463790 0.678272i
\(127\) 12.5210 + 11.4916i 1.11106 + 1.01972i 0.999663 + 0.0259424i \(0.00825866\pi\)
0.111393 + 0.993776i \(0.464469\pi\)
\(128\) 2.75530 + 2.83514i 0.243536 + 0.250593i
\(129\) 24.4337 + 8.71794i 2.15127 + 0.767572i
\(130\) 2.10358 + 6.47416i 0.184496 + 0.567821i
\(131\) 10.2064 11.7788i 0.891735 1.02912i −0.107654 0.994188i \(-0.534334\pi\)
0.999390 0.0349291i \(-0.0111205\pi\)
\(132\) −9.03492 + 12.4585i −0.786389 + 1.08438i
\(133\) 5.80666 + 6.70124i 0.503501 + 0.581071i
\(134\) 5.56914 9.23538i 0.481101 0.797816i
\(135\) −1.77587 2.30298i −0.152842 0.198209i
\(136\) −1.72717 + 0.616253i −0.148104 + 0.0528432i
\(137\) −10.9745 5.39579i −0.937614 0.460994i −0.0925792 0.995705i \(-0.529511\pi\)
−0.845035 + 0.534712i \(0.820420\pi\)
\(138\) 5.46922 4.47216i 0.465571 0.380695i
\(139\) −1.34192 6.62263i −0.113820 0.561724i −0.995887 0.0906004i \(-0.971121\pi\)
0.882067 0.471123i \(-0.156151\pi\)
\(140\) −2.02682 0.115898i −0.171297 0.00979513i
\(141\) 2.84602 2.61206i 0.239678 0.219975i
\(142\) −0.512718 3.56603i −0.0430263 0.299254i
\(143\) 11.1027 + 3.59668i 0.928453 + 0.300769i
\(144\) 2.59080 18.0194i 0.215900 1.50162i
\(145\) −4.77498 6.98318i −0.396540 0.579922i
\(146\) 4.87538 + 12.5223i 0.403489 + 1.03635i
\(147\) −9.17585 + 11.8995i −0.756812 + 0.981451i
\(148\) 1.11260 3.42424i 0.0914553 0.281470i
\(149\) −11.7691 19.5169i −0.964163 1.59888i −0.789044 0.614337i \(-0.789424\pi\)
−0.175118 0.984547i \(-0.556031\pi\)
\(150\) −1.86912 + 4.80080i −0.152613 + 0.391984i
\(151\) 18.5798 4.32055i 1.51201 0.351602i 0.613192 0.789934i \(-0.289885\pi\)
0.898813 + 0.438332i \(0.144431\pi\)
\(152\) 3.49321 + 1.47624i 0.283337 + 0.119739i
\(153\) 12.6683 + 8.14144i 1.02417 + 0.658196i
\(154\) −4.72704 + 5.79132i −0.380915 + 0.466678i
\(155\) 1.27310 0.818169i 0.102257 0.0657169i
\(156\) 16.0890 2.78431i 1.28815 0.222924i
\(157\) 0.902221 + 10.5044i 0.0720051 + 0.838340i 0.939868 + 0.341537i \(0.110947\pi\)
−0.867863 + 0.496803i \(0.834507\pi\)
\(158\) 1.86684 21.7352i 0.148518 1.72916i
\(159\) −7.73318 1.33828i −0.613281 0.106133i
\(160\) −7.00954 + 2.96225i −0.554152 + 0.234187i
\(161\) 1.29263 0.939150i 0.101873 0.0740154i
\(162\) 7.63306 4.31059i 0.599710 0.338672i
\(163\) 0.136748 + 4.78679i 0.0107109 + 0.374930i 0.987212 + 0.159416i \(0.0509611\pi\)
−0.976501 + 0.215515i \(0.930857\pi\)
\(164\) 13.6261 4.00100i 1.06402 0.312425i
\(165\) 4.78173 + 7.42613i 0.372257 + 0.578123i
\(166\) 1.04912 + 0.308051i 0.0814279 + 0.0239094i
\(167\) 2.12488 8.08386i 0.164428 0.625548i −0.832961 0.553331i \(-0.813356\pi\)
0.997389 0.0722168i \(-0.0230073\pi\)
\(168\) 0.307056 1.51538i 0.0236899 0.116914i
\(169\) 0.288242 + 0.546278i 0.0221724 + 0.0420214i
\(170\) 0.203295 7.11627i 0.0155920 0.545793i
\(171\) −7.91682 30.1187i −0.605414 2.30323i
\(172\) −16.9460 + 0.969008i −1.29212 + 0.0738862i
\(173\) −11.6145 + 11.9510i −0.883034 + 0.908621i −0.996387 0.0849341i \(-0.972932\pi\)
0.113352 + 0.993555i \(0.463841\pi\)
\(174\) −39.1109 + 19.2295i −2.96499 + 1.45779i
\(175\) −0.484010 + 1.05983i −0.0365877 + 0.0801160i
\(176\) −3.32933 + 14.3746i −0.250957 + 1.08352i
\(177\) −13.5844 29.7458i −1.02107 2.23583i
\(178\) 16.6837 + 13.6422i 1.25050 + 1.02253i
\(179\) −6.89411 + 13.0658i −0.515290 + 0.976583i 0.479779 + 0.877390i \(0.340717\pi\)
−0.995068 + 0.0991929i \(0.968374\pi\)
\(180\) 6.20842 + 3.50606i 0.462748 + 0.261326i
\(181\) −22.9470 + 2.63292i −1.70564 + 0.195704i −0.911292 0.411761i \(-0.864914\pi\)
−0.794346 + 0.607465i \(0.792186\pi\)
\(182\) 7.87970 0.904111i 0.584082 0.0670172i
\(183\) −21.8707 12.3510i −1.61673 0.913010i
\(184\) 0.318899 0.604381i 0.0235095 0.0445555i
\(185\) −1.59966 1.30803i −0.117609 0.0961685i
\(186\) −3.23875 7.09187i −0.237477 0.520001i
\(187\) −9.67200 7.44466i −0.707286 0.544407i
\(188\) −1.04996 + 2.29908i −0.0765759 + 0.167678i
\(189\) −3.04072 + 1.49502i −0.221180 + 0.108747i
\(190\) −10.2606 + 10.5580i −0.744385 + 0.765955i
\(191\) −3.50980 + 0.200698i −0.253960 + 0.0145220i −0.183605 0.983000i \(-0.558777\pi\)
−0.0703551 + 0.997522i \(0.522413\pi\)
\(192\) 3.94266 + 14.9994i 0.284537 + 1.08249i
\(193\) 0.288959 10.1149i 0.0207997 0.728085i −0.920545 0.390637i \(-0.872255\pi\)
0.941344 0.337447i \(-0.109564\pi\)
\(194\) 6.23369 + 11.8142i 0.447553 + 0.848207i
\(195\) 1.86099 9.18437i 0.133269 0.657706i
\(196\) 2.49936 9.50853i 0.178525 0.679181i
\(197\) −13.6554 4.00959i −0.972908 0.285671i −0.243614 0.969872i \(-0.578333\pi\)
−0.729294 + 0.684201i \(0.760151\pi\)
\(198\) 23.8727 10.9277i 1.69656 0.776598i
\(199\) −13.5244 + 3.97112i −0.958719 + 0.281505i −0.723413 0.690416i \(-0.757428\pi\)
−0.235307 + 0.971921i \(0.575609\pi\)
\(200\) 0.0142298 + 0.498109i 0.00100620 + 0.0352217i
\(201\) −12.9272 + 7.30034i −0.911816 + 0.514926i
\(202\) −20.7664 + 15.0877i −1.46112 + 1.06157i
\(203\) −9.07907 + 3.83685i −0.637226 + 0.269294i
\(204\) −16.8260 2.91186i −1.17806 0.203871i
\(205\) 0.697473 8.12053i 0.0487136 0.567162i
\(206\) −1.76897 20.5957i −0.123250 1.43497i
\(207\) −5.52936 + 0.956893i −0.384317 + 0.0665087i
\(208\) 13.1696 8.46361i 0.913150 0.586846i
\(209\) 4.32599 + 24.8672i 0.299235 + 1.72010i
\(210\) 5.04964 + 3.24521i 0.348458 + 0.223940i
\(211\) 1.67148 + 0.706372i 0.115069 + 0.0486286i 0.446045 0.895011i \(-0.352832\pi\)
−0.330975 + 0.943639i \(0.607378\pi\)
\(212\) 5.00145 1.16304i 0.343501 0.0798777i
\(213\) −1.79934 + 4.62158i −0.123289 + 0.316665i
\(214\) −6.16759 10.2278i −0.421608 0.699158i
\(215\) −3.01029 + 9.26471i −0.205300 + 0.631848i
\(216\) −0.884936 + 1.14761i −0.0602123 + 0.0780847i
\(217\) −0.639710 1.64308i −0.0434263 0.111540i
\(218\) −5.14634 7.52629i −0.348554 0.509745i
\(219\) 2.63264 18.3104i 0.177897 1.23730i
\(220\) −4.77321 3.25768i −0.321810 0.219632i
\(221\) 1.84291 + 12.8178i 0.123968 + 0.862216i
\(222\) −7.84300 + 7.19824i −0.526388 + 0.483114i
\(223\) −18.9973 1.08631i −1.27216 0.0727445i −0.592076 0.805882i \(-0.701691\pi\)
−0.680080 + 0.733138i \(0.738055\pi\)
\(224\) 1.76077 + 8.68973i 0.117646 + 0.580607i
\(225\) 3.16781 2.59031i 0.211187 0.172687i
\(226\) −8.72878 4.29165i −0.580630 0.285476i
\(227\) 5.83354 2.08140i 0.387186 0.138148i −0.135281 0.990807i \(-0.543194\pi\)
0.522467 + 0.852660i \(0.325012\pi\)
\(228\) 21.5641 + 27.9649i 1.42812 + 1.85202i
\(229\) 0.481287 0.798125i 0.0318043 0.0527416i −0.840041 0.542523i \(-0.817469\pi\)
0.871845 + 0.489782i \(0.162924\pi\)
\(230\) 1.73727 + 2.00492i 0.114553 + 0.132201i
\(231\) 9.58644 3.74206i 0.630742 0.246210i
\(232\) −2.76059 + 3.18589i −0.181242 + 0.209164i
\(233\) −4.49852 13.8450i −0.294708 0.907017i −0.983320 0.181887i \(-0.941780\pi\)
0.688612 0.725130i \(-0.258220\pi\)
\(234\) −26.2358 9.36093i −1.71509 0.611943i
\(235\) 1.01096 + 1.04025i 0.0659475 + 0.0678583i
\(236\) 15.7630 + 14.4672i 1.02609 + 0.941734i
\(237\) −16.9508 + 24.7897i −1.10107 + 1.61027i
\(238\) −8.07916 1.87873i −0.523694 0.121780i
\(239\) 14.0950 + 10.2406i 0.911732 + 0.662412i 0.941452 0.337146i \(-0.109462\pi\)
−0.0297203 + 0.999558i \(0.509462\pi\)
\(240\) 11.7704 + 1.35053i 0.759775 + 0.0871760i
\(241\) −1.12964 −0.0727665 −0.0363833 0.999338i \(-0.511584\pi\)
−0.0363833 + 0.999338i \(0.511584\pi\)
\(242\) −20.0297 + 7.18635i −1.28756 + 0.461956i
\(243\) −20.7920 −1.33381
\(244\) 16.3267 + 1.87331i 1.04521 + 0.119926i
\(245\) −4.56487 3.31657i −0.291639 0.211888i
\(246\) −40.8983 9.51050i −2.60758 0.606367i
\(247\) 15.1156 22.1059i 0.961785 1.40657i
\(248\) −0.555585 0.509912i −0.0352797 0.0323794i
\(249\) −1.04903 1.07943i −0.0664797 0.0684060i
\(250\) −1.82203 0.650098i −0.115235 0.0411158i
\(251\) −6.51746 20.0587i −0.411378 1.26609i −0.915450 0.402431i \(-0.868165\pi\)
0.504072 0.863662i \(-0.331835\pi\)
\(252\) 5.44015 6.27827i 0.342697 0.395494i
\(253\) 4.53118 0.393201i 0.284873 0.0247204i
\(254\) 21.5302 + 24.8472i 1.35092 + 1.55905i
\(255\) −5.06085 + 8.39247i −0.316922 + 0.525557i
\(256\) 11.7827 + 15.2801i 0.736419 + 0.955005i
\(257\) 18.2267 6.50327i 1.13695 0.405663i 0.300541 0.953769i \(-0.402833\pi\)
0.836409 + 0.548106i \(0.184651\pi\)
\(258\) 45.0373 + 22.1433i 2.80390 + 1.37858i
\(259\) −1.86380 + 1.52402i −0.115811 + 0.0946981i
\(260\) 1.21762 + 6.00917i 0.0755134 + 0.372673i
\(261\) 34.5606 + 1.97624i 2.13925 + 0.122326i
\(262\) 22.2133 20.3872i 1.37234 1.25953i
\(263\) −0.459700 3.19728i −0.0283463 0.197153i 0.970727 0.240184i \(-0.0772077\pi\)
−0.999074 + 0.0430309i \(0.986299\pi\)
\(264\) 2.97321 3.24526i 0.182988 0.199732i
\(265\) 0.419403 2.91701i 0.0257637 0.179190i
\(266\) 9.68219 + 14.1597i 0.593653 + 0.868190i
\(267\) −10.7636 27.6461i −0.658723 1.69192i
\(268\) 5.93157 7.69220i 0.362329 0.469876i
\(269\) −7.88340 + 24.2626i −0.480659 + 1.47932i 0.357511 + 0.933909i \(0.383625\pi\)
−0.838171 + 0.545408i \(0.816375\pi\)
\(270\) −2.90522 4.81777i −0.176806 0.293200i
\(271\) 6.08296 15.6240i 0.369514 0.949089i −0.617227 0.786785i \(-0.711744\pi\)
0.986741 0.162303i \(-0.0518923\pi\)
\(272\) −15.9464 + 3.70818i −0.966894 + 0.224842i
\(273\) −10.0572 4.25021i −0.608689 0.257234i
\(274\) −19.9022 12.7904i −1.20234 0.772695i
\(275\) −2.73613 + 1.87446i −0.164995 + 0.113034i
\(276\) 5.35312 3.44024i 0.322220 0.207078i
\(277\) 31.7255 5.49031i 1.90620 0.329881i 0.909828 0.414985i \(-0.136213\pi\)
0.996372 + 0.0851036i \(0.0271221\pi\)
\(278\) −1.11864 13.0241i −0.0670916 0.781133i
\(279\) −0.529931 + 6.16988i −0.0317262 + 0.369381i
\(280\) 0.572093 + 0.0990046i 0.0341891 + 0.00591665i
\(281\) 13.4390 5.67939i 0.801706 0.338804i 0.0503761 0.998730i \(-0.483958\pi\)
0.751330 + 0.659926i \(0.229413\pi\)
\(282\) 6.04584 4.39256i 0.360025 0.261573i
\(283\) 18.8599 10.6507i 1.12110 0.633117i 0.184265 0.982877i \(-0.441010\pi\)
0.936839 + 0.349760i \(0.113737\pi\)
\(284\) −0.0926619 3.24359i −0.00549847 0.192472i
\(285\) 19.4461 5.70988i 1.15189 0.338224i
\(286\) 20.5454 + 9.36090i 1.21487 + 0.553522i
\(287\) −9.11160 2.67541i −0.537841 0.157924i
\(288\) 7.91620 30.1164i 0.466467 1.77462i
\(289\) −0.686573 + 3.38837i −0.0403867 + 0.199316i
\(290\) −7.63720 14.4741i −0.448472 0.849949i
\(291\) 0.525104 18.3810i 0.0307821 1.07752i
\(292\) 3.07690 + 11.7057i 0.180062 + 0.685027i
\(293\) −17.2894 + 0.988645i −1.01006 + 0.0577573i −0.554276 0.832333i \(-0.687005\pi\)
−0.455784 + 0.890091i \(0.650641\pi\)
\(294\) −20.2593 + 20.8464i −1.18155 + 1.21578i
\(295\) 11.0194 5.41790i 0.641577 0.315442i
\(296\) −0.427751 + 0.936643i −0.0248625 + 0.0544413i
\(297\) −9.61064 0.816937i −0.557666 0.0474035i
\(298\) −18.3154 40.1052i −1.06098 2.32323i
\(299\) −3.73564 3.05462i −0.216038 0.176653i
\(300\) −2.16543 + 4.10394i −0.125021 + 0.236941i
\(301\) 9.88302 + 5.58120i 0.569648 + 0.321695i
\(302\) 36.6617 4.20654i 2.10965 0.242059i
\(303\) 35.1054 4.02797i 2.01675 0.231401i
\(304\) 29.4810 + 16.6487i 1.69085 + 0.954867i
\(305\) 4.40143 8.34164i 0.252025 0.477641i
\(306\) 22.5522 + 18.4408i 1.28922 + 1.05419i
\(307\) 8.76246 + 19.1871i 0.500100 + 1.09507i 0.976437 + 0.215803i \(0.0692369\pi\)
−0.476337 + 0.879263i \(0.658036\pi\)
\(308\) −4.82444 + 4.69685i −0.274898 + 0.267628i
\(309\) −11.8213 + 25.8850i −0.672489 + 1.47255i
\(310\) 2.62721 1.29171i 0.149216 0.0733644i
\(311\) 9.19030 9.45659i 0.521134 0.536234i −0.404558 0.914512i \(-0.632575\pi\)
0.925692 + 0.378278i \(0.123484\pi\)
\(312\) −4.66208 + 0.266587i −0.263938 + 0.0150925i
\(313\) 3.52025 + 13.3924i 0.198977 + 0.756985i 0.989497 + 0.144550i \(0.0461736\pi\)
−0.790521 + 0.612435i \(0.790190\pi\)
\(314\) −0.582425 + 20.3875i −0.0328681 + 1.15053i
\(315\) −2.22494 4.21673i −0.125361 0.237586i
\(316\) 3.90205 19.2574i 0.219508 1.08331i
\(317\) −3.17722 + 12.0874i −0.178450 + 0.678896i 0.816395 + 0.577494i \(0.195969\pi\)
−0.994846 + 0.101402i \(0.967667\pi\)
\(318\) −14.5675 4.27739i −0.816902 0.239864i
\(319\) −27.7753 3.96854i −1.55512 0.222195i
\(320\) −5.58778 + 1.64072i −0.312366 + 0.0917191i
\(321\) 0.469503 + 16.4348i 0.0262051 + 0.917299i
\(322\) 2.69143 1.51992i 0.149988 0.0847019i
\(323\) −22.6577 + 16.4618i −1.26071 + 0.915959i
\(324\) 7.27277 3.07350i 0.404043 0.170750i
\(325\) 3.46732 + 0.600043i 0.192332 + 0.0332844i
\(326\) −0.792765 + 9.22999i −0.0439072 + 0.511202i
\(327\) 1.07408 + 12.5052i 0.0593965 + 0.691541i
\(328\) −4.00198 + 0.692569i −0.220972 + 0.0382407i
\(329\) 1.42180 0.913733i 0.0783862 0.0503757i
\(330\) 7.55249 + 15.3269i 0.415751 + 0.843718i
\(331\) 0.106614 + 0.0685164i 0.00586001 + 0.00376600i 0.543568 0.839365i \(-0.317073\pi\)
−0.537708 + 0.843131i \(0.680710\pi\)
\(332\) 0.907148 + 0.383364i 0.0497862 + 0.0210398i
\(333\) 8.23587 1.91517i 0.451323 0.104951i
\(334\) 5.86650 15.0680i 0.321000 0.824483i
\(335\) −2.87881 4.77396i −0.157286 0.260830i
\(336\) 4.26565 13.1283i 0.232710 0.716209i
\(337\) −21.8660 + 28.3564i −1.19112 + 1.54467i −0.420607 + 0.907243i \(0.638183\pi\)
−0.770511 + 0.637426i \(0.779999\pi\)
\(338\) 0.433512 + 1.11347i 0.0235800 + 0.0605646i
\(339\) 7.55784 + 11.0530i 0.410486 + 0.600316i
\(340\) 0.912546 6.34690i 0.0494897 0.344209i
\(341\) 0.851523 4.94639i 0.0461126 0.267862i
\(342\) −8.57373 59.6316i −0.463614 3.22451i
\(343\) −10.8522 + 9.96010i −0.585966 + 0.537795i
\(344\) 4.84639 + 0.277127i 0.261300 + 0.0149417i
\(345\) −0.725249 3.57925i −0.0390461 0.192700i
\(346\) −24.9576 + 20.4077i −1.34173 + 1.09713i
\(347\) −0.409011 0.201097i −0.0219568 0.0107954i 0.430210 0.902729i \(-0.358440\pi\)
−0.452167 + 0.891934i \(0.649349\pi\)
\(348\) −36.9714 + 13.1914i −1.98188 + 0.707132i
\(349\) −7.34662 9.52726i −0.393255 0.509983i 0.553098 0.833116i \(-0.313445\pi\)
−0.946353 + 0.323134i \(0.895264\pi\)
\(350\) −1.16394 + 1.93019i −0.0622155 + 0.103173i
\(351\) 6.70146 + 7.73390i 0.357698 + 0.412805i
\(352\) −8.46054 + 23.7784i −0.450948 + 1.26739i
\(353\) −9.67440 + 11.1649i −0.514917 + 0.594245i −0.952351 0.305005i \(-0.901342\pi\)
0.437434 + 0.899250i \(0.355887\pi\)
\(354\) −19.5487 60.1647i −1.03900 3.19772i
\(355\) −1.75401 0.625829i −0.0930930 0.0332155i
\(356\) 13.5282 + 13.9202i 0.716996 + 0.737771i
\(357\) 8.41252 + 7.72094i 0.445238 + 0.408636i
\(358\) −16.1312 + 23.5911i −0.852560 + 1.24683i
\(359\) 12.3481 + 2.87143i 0.651709 + 0.151549i 0.539300 0.842113i \(-0.318689\pi\)
0.112409 + 0.993662i \(0.464143\pi\)
\(360\) −1.64967 1.19856i −0.0869455 0.0631696i
\(361\) 38.6639 + 4.43626i 2.03494 + 0.233488i
\(362\) −44.6830 −2.34849
\(363\) 28.8737 + 4.94444i 1.51547 + 0.259516i
\(364\) 7.14372 0.374433
\(365\) 6.90106 + 0.791823i 0.361218 + 0.0414459i
\(366\) −39.3102 28.5605i −2.05478 1.49288i
\(367\) 12.9904 + 3.02079i 0.678093 + 0.157684i 0.551378 0.834255i \(-0.314102\pi\)
0.126715 + 0.991939i \(0.459557\pi\)
\(368\) 3.44357 5.03607i 0.179509 0.262523i
\(369\) 24.5716 + 22.5516i 1.27915 + 1.17399i
\(370\) −2.78597 2.86669i −0.144836 0.149032i
\(371\) −3.23394 1.15387i −0.167898 0.0599059i
\(372\) −2.16996 6.67846i −0.112507 0.346262i
\(373\) 6.92490 7.99176i 0.358558 0.413797i −0.547598 0.836741i \(-0.684458\pi\)
0.906156 + 0.422944i \(0.139003\pi\)
\(374\) −16.9471 16.4409i −0.876315 0.850140i
\(375\) 1.74395 + 2.01263i 0.0900572 + 0.103932i
\(376\) 0.373271 0.619000i 0.0192500 0.0319225i
\(377\) 18.1779 + 23.5735i 0.936209 + 1.21410i
\(378\) −6.17371 + 2.20278i −0.317542 + 0.113299i
\(379\) −0.301698 0.148335i −0.0154972 0.00761945i 0.433456 0.901175i \(-0.357294\pi\)
−0.448953 + 0.893555i \(0.648203\pi\)
\(380\) −10.2654 + 8.39398i −0.526604 + 0.430602i
\(381\) −8.98808 44.3579i −0.460473 2.27252i
\(382\) −6.78982 0.388256i −0.347398 0.0198649i
\(383\) 1.59363 1.46262i 0.0814307 0.0747364i −0.634426 0.772983i \(-0.718764\pi\)
0.715857 + 0.698247i \(0.246036\pi\)
\(384\) −1.49834 10.4212i −0.0764618 0.531804i
\(385\) 1.50738 + 3.55816i 0.0768233 + 0.181340i
\(386\) 2.78589 19.3763i 0.141798 0.986227i
\(387\) −22.5001 32.9054i −1.14374 1.67267i
\(388\) 4.36505 + 11.2115i 0.221602 + 0.569180i
\(389\) 12.9836 16.8374i 0.658292 0.853689i −0.337872 0.941192i \(-0.609707\pi\)
0.996164 + 0.0875034i \(0.0278889\pi\)
\(390\) 5.60202 17.2412i 0.283669 0.873045i
\(391\) 2.60604 + 4.32164i 0.131793 + 0.218555i
\(392\) −1.02011 + 2.62014i −0.0515235 + 0.132337i
\(393\) −40.4271 + 9.40091i −2.03928 + 0.474213i
\(394\) −25.3604 10.7174i −1.27764 0.539935i
\(395\) −9.48661 6.09667i −0.477323 0.306757i
\(396\) 22.4837 7.32728i 1.12985 0.368210i
\(397\) 16.5249 10.6199i 0.829359 0.532997i −0.0557149 0.998447i \(-0.517744\pi\)
0.885074 + 0.465450i \(0.154107\pi\)
\(398\) −26.8685 + 4.64979i −1.34680 + 0.233073i
\(399\) −2.02074 23.5270i −0.101163 1.17782i
\(400\) −0.380708 + 4.43251i −0.0190354 + 0.221625i
\(401\) −13.5813 2.35034i −0.678219 0.117370i −0.179004 0.983848i \(-0.557287\pi\)
−0.499215 + 0.866478i \(0.666378\pi\)
\(402\) −26.4550 + 11.1800i −1.31945 + 0.557606i
\(403\) −4.30817 + 3.13007i −0.214605 + 0.155920i
\(404\) −20.1313 + 11.3686i −1.00157 + 0.565611i
\(405\) −0.129399 4.52954i −0.00642987 0.225075i
\(406\) −18.2954 + 5.37200i −0.907984 + 0.266608i
\(407\) −6.78273 + 0.981304i −0.336207 + 0.0486414i
\(408\) 4.68579 + 1.37587i 0.231981 + 0.0681158i
\(409\) 9.29794 35.3730i 0.459754 1.74908i −0.183100 0.983094i \(-0.558613\pi\)
0.642853 0.765989i \(-0.277751\pi\)
\(410\) 3.13123 15.4532i 0.154640 0.763180i
\(411\) 15.1982 + 28.8038i 0.749671 + 1.42078i
\(412\) 0.531675 18.6110i 0.0261937 0.916900i
\(413\) −3.63709 13.8369i −0.178969 0.680870i
\(414\) −10.8380 + 0.619740i −0.532659 + 0.0304585i
\(415\) 0.393916 0.405330i 0.0193366 0.0198969i
\(416\) 24.0302 11.8149i 1.17818 0.579272i
\(417\) −7.47541 + 16.3689i −0.366072 + 0.801587i
\(418\) 2.83050 + 48.7468i 0.138444 + 2.38428i
\(419\) 16.1709 + 35.4093i 0.789999 + 1.72986i 0.676653 + 0.736302i \(0.263430\pi\)
0.113346 + 0.993556i \(0.463843\pi\)
\(420\) 4.18532 + 3.42232i 0.204223 + 0.166992i
\(421\) 6.82249 12.9301i 0.332508 0.630173i −0.660149 0.751134i \(-0.729507\pi\)
0.992657 + 0.120962i \(0.0385979\pi\)
\(422\) 3.05668 + 1.72619i 0.148797 + 0.0840294i
\(423\) −5.89707 + 0.676626i −0.286726 + 0.0328987i
\(424\) −1.45896 + 0.167400i −0.0708532 + 0.00812965i
\(425\) −3.20439 1.80960i −0.155436 0.0877786i
\(426\) −4.47735 + 8.48551i −0.216928 + 0.411124i
\(427\) −8.50706 6.95619i −0.411685 0.336633i
\(428\) −4.46877 9.78525i −0.216006 0.472988i
\(429\) −18.2906 25.1283i −0.883077 1.21320i
\(430\) −7.82859 + 17.1422i −0.377528 + 0.826671i
\(431\) −21.3003 + 10.4727i −1.02600 + 0.504450i −0.875020 0.484086i \(-0.839152\pi\)
−0.150980 + 0.988537i \(0.548243\pi\)
\(432\) −9.01692 + 9.27820i −0.433827 + 0.446397i
\(433\) 0.153753 0.00879193i 0.00738891 0.000422513i −0.0533940 0.998574i \(-0.517004\pi\)
0.0607829 + 0.998151i \(0.480640\pi\)
\(434\) −0.867140 3.29894i −0.0416240 0.158354i
\(435\) −0.643331 + 22.5195i −0.0308454 + 1.07973i
\(436\) −3.83231 7.26304i −0.183534 0.347837i
\(437\) 2.07256 10.2285i 0.0991440 0.489295i
\(438\) 9.09754 34.6106i 0.434697 1.65376i
\(439\) 6.17951 + 1.81447i 0.294932 + 0.0865999i 0.425851 0.904793i \(-0.359975\pi\)
−0.130919 + 0.991393i \(0.541793\pi\)
\(440\) 1.24999 + 1.08120i 0.0595910 + 0.0515441i
\(441\) 22.1539 6.50498i 1.05495 0.309761i
\(442\) 0.715367 + 25.0411i 0.0340265 + 1.19108i
\(443\) 7.95182 4.49060i 0.377802 0.213355i −0.291121 0.956686i \(-0.594028\pi\)
0.668923 + 0.743331i \(0.266755\pi\)
\(444\) −7.75711 + 5.63587i −0.368136 + 0.267467i
\(445\) 10.2616 4.33659i 0.486446 0.205574i
\(446\) −36.2718 6.27709i −1.71752 0.297229i
\(447\) −5.19387 + 60.4712i −0.245662 + 2.86019i
\(448\) 0.580653 + 6.76042i 0.0274333 + 0.319400i
\(449\) 24.0286 4.15831i 1.13398 0.196243i 0.427527 0.904003i \(-0.359385\pi\)
0.706453 + 0.707760i \(0.250294\pi\)
\(450\) 6.65950 4.27980i 0.313932 0.201752i
\(451\) −18.2958 19.8994i −0.861517 0.937027i
\(452\) −7.37004 4.73644i −0.346658 0.222783i
\(453\) −46.7930 19.7749i −2.19853 0.929105i
\(454\) 11.6706 2.71388i 0.547728 0.127369i
\(455\) 1.48748 3.82055i 0.0697340 0.179110i
\(456\) −5.21526 8.64854i −0.244227 0.405005i
\(457\) 6.57046 20.2218i 0.307353 0.945936i −0.671435 0.741063i \(-0.734322\pi\)
0.978789 0.204873i \(-0.0656781\pi\)
\(458\) 1.10100 1.42780i 0.0514463 0.0667167i
\(459\) −3.88284 9.97299i −0.181235 0.465499i
\(460\) 1.34870 + 1.97241i 0.0628834 + 0.0919640i
\(461\) −1.99749 + 13.8928i −0.0930322 + 0.647053i 0.888939 + 0.458025i \(0.151443\pi\)
−0.981972 + 0.189028i \(0.939466\pi\)
\(462\) 19.2496 5.07795i 0.895572 0.236248i
\(463\) 0.223632 + 1.55540i 0.0103931 + 0.0722854i 0.994358 0.106077i \(-0.0338291\pi\)
−0.983965 + 0.178363i \(0.942920\pi\)
\(464\) −27.7275 + 25.4481i −1.28722 + 1.18140i
\(465\) −4.02356 0.230075i −0.186588 0.0106695i
\(466\) −5.59269 27.6010i −0.259077 1.27859i
\(467\) −24.3902 + 19.9438i −1.12864 + 0.922888i −0.997651 0.0684953i \(-0.978180\pi\)
−0.130993 + 0.991383i \(0.541817\pi\)
\(468\) −22.5152 11.0700i −1.04077 0.511710i
\(469\) −6.11758 + 2.18275i −0.282484 + 0.100790i
\(470\) 1.71358 + 2.22221i 0.0790416 + 0.102503i
\(471\) 14.4989 24.0437i 0.668074 1.10788i
\(472\) −4.00705 4.62439i −0.184440 0.212855i
\(473\) 15.9121 + 28.1188i 0.731639 + 1.29291i
\(474\) −38.0447 + 43.9059i −1.74745 + 2.01667i
\(475\) 2.35173 + 7.23788i 0.107905 + 0.332097i
\(476\) −7.03649 2.51061i −0.322517 0.115074i
\(477\) 8.40453 + 8.64806i 0.384817 + 0.395967i
\(478\) 24.8313 + 22.7899i 1.13576 + 1.04239i
\(479\) −1.16888 + 1.70944i −0.0534076 + 0.0781062i −0.851251 0.524758i \(-0.824156\pi\)
0.797844 + 0.602864i \(0.205974\pi\)
\(480\) 19.7388 + 4.59006i 0.900949 + 0.209507i
\(481\) 5.88255 + 4.27392i 0.268221 + 0.194874i
\(482\) −2.17108 0.249108i −0.0988900 0.0113466i
\(483\) −4.25502 −0.193610
\(484\) −18.6608 + 4.37402i −0.848216 + 0.198819i
\(485\) 6.90497 0.313539
\(486\) −39.9605 4.58505i −1.81265 0.207982i
\(487\) −8.33196 6.05352i −0.377557 0.274311i 0.382781 0.923839i \(-0.374966\pi\)
−0.760338 + 0.649528i \(0.774966\pi\)
\(488\) −4.57776 1.06451i −0.207225 0.0481882i
\(489\) 7.19825 10.5271i 0.325516 0.476052i
\(490\) −8.04194 7.38083i −0.363298 0.333432i
\(491\) 23.8628 + 24.5542i 1.07691 + 1.10812i 0.993755 + 0.111580i \(0.0355910\pi\)
0.0831565 + 0.996537i \(0.473500\pi\)
\(492\) −35.6201 12.7092i −1.60588 0.572977i
\(493\) −9.62027 29.6081i −0.433275 1.33348i
\(494\) 33.9259 39.1526i 1.52640 1.76156i
\(495\) 0.762866 13.5503i 0.0342883 0.609039i
\(496\) −4.40888 5.08812i −0.197965 0.228463i
\(497\) −1.12049 + 1.85813i −0.0502609 + 0.0833484i
\(498\) −1.77812 2.30591i −0.0796795 0.103330i
\(499\) −21.9106 + 7.81770i −0.980855 + 0.349968i −0.777324 0.629100i \(-0.783424\pi\)
−0.203531 + 0.979069i \(0.565242\pi\)
\(500\) −1.56364 0.768789i −0.0699280 0.0343813i
\(501\) −17.2319 + 14.0904i −0.769863 + 0.629514i
\(502\) −8.10271 39.9884i −0.361642 1.78477i
\(503\) 10.7011 + 0.611911i 0.477139 + 0.0272838i 0.294004 0.955804i \(-0.405012\pi\)
0.183134 + 0.983088i \(0.441376\pi\)
\(504\) −1.75036 + 1.60647i −0.0779673 + 0.0715578i
\(505\) 1.88833 + 13.1337i 0.0840298 + 0.584440i
\(506\) 8.79528 + 0.243513i 0.390998 + 0.0108255i
\(507\) 0.234091 1.62814i 0.0103963 0.0723081i
\(508\) 16.7145 + 24.4442i 0.741588 + 1.08454i
\(509\) −6.74152 17.3155i −0.298813 0.767494i −0.998588 0.0531309i \(-0.983080\pi\)
0.699775 0.714364i \(-0.253284\pi\)
\(510\) −11.5773 + 15.0137i −0.512649 + 0.664816i
\(511\) 2.50098 7.69723i 0.110637 0.340506i
\(512\) 15.1928 + 25.1944i 0.671432 + 1.11345i
\(513\) −8.02973 + 20.6242i −0.354521 + 0.910580i
\(514\) 36.4644 8.47943i 1.60838 0.374012i
\(515\) −9.84272 4.15957i −0.433722 0.183292i
\(516\) 38.0267 + 24.4383i 1.67403 + 1.07583i
\(517\) 4.80891 0.141616i 0.211495 0.00622826i
\(518\) −3.91815 + 2.51805i −0.172154 + 0.110637i
\(519\) 43.7305 7.56786i 1.91955 0.332192i
\(520\) −0.150055 1.74706i −0.00658034 0.0766135i
\(521\) −2.85843 + 33.2800i −0.125230 + 1.45803i 0.616515 + 0.787343i \(0.288544\pi\)
−0.741745 + 0.670682i \(0.766001\pi\)
\(522\) 65.9869 + 11.4195i 2.88817 + 0.499817i
\(523\) 18.7086 7.90631i 0.818069 0.345719i 0.0602496 0.998183i \(-0.480810\pi\)
0.757819 + 0.652465i \(0.226265\pi\)
\(524\) 21.9701 15.9622i 0.959766 0.697311i
\(525\) 2.70177 1.52576i 0.117915 0.0665897i
\(526\) −0.178442 6.24630i −0.00778045 0.272351i
\(527\) 5.34355 1.56901i 0.232769 0.0683470i
\(528\) 29.6738 25.7583i 1.29139 1.12098i
\(529\) 20.2640 + 5.95003i 0.881041 + 0.258697i
\(530\) 1.44932 5.51378i 0.0629543 0.239503i
\(531\) −9.97864 + 49.2465i −0.433036 + 2.13712i
\(532\) 7.21001 + 13.6645i 0.312593 + 0.592430i
\(533\) −0.818992 + 28.6685i −0.0354745 + 1.24177i
\(534\) −14.5903 55.5073i −0.631385 2.40204i
\(535\) −6.16377 + 0.352457i −0.266483 + 0.0152381i
\(536\) −1.93608 + 1.99218i −0.0836261 + 0.0860492i
\(537\) 35.3054 17.3585i 1.52354 0.749074i
\(538\) −20.5017 + 44.8924i −0.883889 + 1.93545i
\(539\) −18.3380 + 3.73257i −0.789873 + 0.160773i
\(540\) −2.10500 4.60931i −0.0905848 0.198353i
\(541\) 7.24601 + 5.92503i 0.311530 + 0.254737i 0.775831 0.630940i \(-0.217331\pi\)
−0.464301 + 0.885677i \(0.653694\pi\)
\(542\) 15.1364 28.6866i 0.650163 1.23220i
\(543\) 53.5603 + 30.2469i 2.29849 + 1.29802i
\(544\) −27.8218 + 3.19225i −1.19285 + 0.136867i
\(545\) −4.68234 + 0.537248i −0.200569 + 0.0230132i
\(546\) −18.3919 10.3864i −0.787100 0.444496i
\(547\) 11.4206 21.6444i 0.488308 0.925447i −0.509575 0.860426i \(-0.670198\pi\)
0.997884 0.0650214i \(-0.0207116\pi\)
\(548\) −16.4957 13.4884i −0.704660 0.576198i
\(549\) 16.0327 + 35.1068i 0.684260 + 1.49832i
\(550\) −5.67199 + 2.99919i −0.241854 + 0.127886i
\(551\) −26.7447 + 58.5628i −1.13936 + 2.49486i
\(552\) −1.63311 + 0.802948i −0.0695099 + 0.0341757i
\(553\) −9.15694 + 9.42227i −0.389393 + 0.400676i
\(554\) 62.1846 3.55585i 2.64197 0.151073i
\(555\) 1.39894 + 5.32211i 0.0593816 + 0.225911i
\(556\) 0.336215 11.7690i 0.0142587 0.499119i
\(557\) 10.6629 + 20.2084i 0.451800 + 0.856257i 0.999804 + 0.0197809i \(0.00629687\pi\)
−0.548004 + 0.836476i \(0.684612\pi\)
\(558\) −2.37907 + 11.7412i −0.100714 + 0.497043i
\(559\) 8.71433 33.1527i 0.368577 1.40221i
\(560\) 4.97347 + 1.46034i 0.210167 + 0.0617107i
\(561\) 9.18485 + 31.1792i 0.387785 + 1.31639i
\(562\) 27.0812 7.95176i 1.14235 0.335425i
\(563\) −0.690671 24.1767i −0.0291083 1.01892i −0.874573 0.484893i \(-0.838858\pi\)
0.845465 0.534031i \(-0.179323\pi\)
\(564\) 5.86092 3.30981i 0.246789 0.139368i
\(565\) −4.06771 + 2.95536i −0.171130 + 0.124333i
\(566\) 38.5959 16.3108i 1.62231 0.685593i
\(567\) −5.20231 0.900294i −0.218476 0.0378088i
\(568\) −0.0794147 + 0.924609i −0.00333217 + 0.0387957i
\(569\) −3.02226 35.1875i −0.126700 1.47514i −0.733178 0.680037i \(-0.761964\pi\)
0.606478 0.795100i \(-0.292582\pi\)
\(570\) 38.6330 6.68570i 1.61816 0.280033i
\(571\) −4.70360 + 3.02282i −0.196840 + 0.126501i −0.635348 0.772226i \(-0.719143\pi\)
0.438508 + 0.898727i \(0.355507\pi\)
\(572\) 17.4233 + 10.4857i 0.728503 + 0.438430i
\(573\) 7.87597 + 5.06158i 0.329023 + 0.211450i
\(574\) −16.9218 7.15121i −0.706302 0.298486i
\(575\) 1.33570 0.310603i 0.0557024 0.0129530i
\(576\) 8.64595 22.2069i 0.360248 0.925289i
\(577\) −0.174793 0.289862i −0.00727673 0.0120671i 0.852689 0.522418i \(-0.174970\pi\)
−0.859966 + 0.510351i \(0.829515\pi\)
\(578\) −2.06674 + 6.36078i −0.0859652 + 0.264574i
\(579\) −16.4556 + 21.3400i −0.683872 + 0.886860i
\(580\) −5.34784 13.7358i −0.222057 0.570349i
\(581\) −0.371708 0.543606i −0.0154211 0.0225526i
\(582\) 5.06259 35.2111i 0.209851 1.45955i
\(583\) −6.19379 7.56110i −0.256521 0.313149i
\(584\) −0.492616 3.42622i −0.0203846 0.141778i
\(585\) −10.6085 + 9.73641i −0.438608 + 0.402551i
\(586\) −33.4469 1.91257i −1.38168 0.0790074i
\(587\) −4.28498 21.1472i −0.176860 0.872839i −0.965983 0.258604i \(-0.916737\pi\)
0.789123 0.614235i \(-0.210535\pi\)
\(588\) −20.2687 + 16.5737i −0.835869 + 0.683487i
\(589\) −10.3353 5.08154i −0.425860 0.209381i
\(590\) 22.3733 7.98276i 0.921092 0.328645i
\(591\) 23.1440 + 30.0137i 0.952018 + 1.23460i
\(592\) −4.74718 + 7.87232i −0.195108 + 0.323550i
\(593\) −7.76404 8.96018i −0.318831 0.367951i 0.573599 0.819136i \(-0.305547\pi\)
−0.892430 + 0.451186i \(0.851001\pi\)
\(594\) −18.2907 3.68943i −0.750478 0.151379i
\(595\) −2.80786 + 3.24044i −0.115111 + 0.132845i
\(596\) −12.2714 37.7673i −0.502654 1.54701i
\(597\) 35.3542 + 12.6143i 1.44695 + 0.516271i
\(598\) −6.50601 6.69453i −0.266051 0.273760i
\(599\) 0.607330 + 0.557403i 0.0248148 + 0.0227749i 0.688486 0.725249i \(-0.258275\pi\)
−0.663672 + 0.748024i \(0.731003\pi\)
\(600\) 0.749044 1.09544i 0.0305796 0.0447212i
\(601\) −32.3021 7.51153i −1.31763 0.306402i −0.491990 0.870601i \(-0.663731\pi\)
−0.825639 + 0.564199i \(0.809185\pi\)
\(602\) 17.7636 + 12.9060i 0.723991 + 0.526010i
\(603\) 22.6635 + 2.60039i 0.922929 + 0.105896i
\(604\) 33.2375 1.35241
\(605\) −1.54629 + 10.8908i −0.0628657 + 0.442773i
\(606\) 68.3580 2.77686
\(607\) −1.74051 0.199705i −0.0706450 0.00810576i 0.0785968 0.996906i \(-0.474956\pi\)
−0.149242 + 0.988801i \(0.547683\pi\)
\(608\) 46.8526 + 34.0404i 1.90012 + 1.38052i
\(609\) 25.5666 + 5.94526i 1.03601 + 0.240914i
\(610\) 10.2987 15.0614i 0.416982 0.609817i
\(611\) −3.76058 3.45143i −0.152137 0.139630i
\(612\) 18.2868 + 18.8166i 0.739199 + 0.760618i
\(613\) −34.3885 12.2698i −1.38894 0.495572i −0.467465 0.884012i \(-0.654832\pi\)
−0.921474 + 0.388439i \(0.873014\pi\)
\(614\) 12.6096 + 38.8084i 0.508883 + 1.56618i
\(615\) −14.2139 + 16.4038i −0.573162 + 0.661464i
\(616\) 1.52387 1.17722i 0.0613984 0.0474315i
\(617\) 24.8857 + 28.7196i 1.00186 + 1.15621i 0.987708 + 0.156308i \(0.0499592\pi\)
0.0141513 + 0.999900i \(0.495495\pi\)
\(618\) −28.4277 + 47.1421i −1.14353 + 1.89633i
\(619\) −11.8947 15.4254i −0.478090 0.619998i 0.489659 0.871914i \(-0.337121\pi\)
−0.967749 + 0.251916i \(0.918939\pi\)
\(620\) 2.48350 0.886111i 0.0997397 0.0355871i
\(621\) 3.57889 + 1.75962i 0.143616 + 0.0706112i
\(622\) 19.7484 16.1482i 0.791839 0.647483i
\(623\) −2.57767 12.7213i −0.103272 0.509669i
\(624\) −41.6220 2.38003i −1.66621 0.0952776i
\(625\) −0.736741 + 0.676175i −0.0294696 + 0.0270470i
\(626\) 3.81235 + 26.5155i 0.152372 + 1.05977i
\(627\) 29.6050 60.3475i 1.18231 2.41005i
\(628\) −2.61437 + 18.1833i −0.104325 + 0.725594i
\(629\) −4.29221 6.27715i −0.171141 0.250286i
\(630\) −3.34629 8.59487i −0.133319 0.342428i
\(631\) 8.24772 10.6958i 0.328337 0.425795i −0.598579 0.801064i \(-0.704268\pi\)
0.926916 + 0.375269i \(0.122450\pi\)
\(632\) −1.73647 + 5.34432i −0.0690732 + 0.212586i
\(633\) −2.49547 4.13827i −0.0991859 0.164481i
\(634\) −8.77188 + 22.5304i −0.348376 + 0.894796i
\(635\) 16.5534 3.84933i 0.656902 0.152756i
\(636\) −12.5961 5.32314i −0.499466 0.211076i
\(637\) 16.7032 + 10.7345i 0.661803 + 0.425315i
\(638\) −52.5068 13.7522i −2.07877 0.544456i
\(639\) 6.41088 4.12002i 0.253611 0.162986i
\(640\) 3.89553 0.674149i 0.153985 0.0266481i
\(641\) −0.560307 6.52354i −0.0221308 0.257664i −0.999033 0.0439756i \(-0.985998\pi\)
0.976902 0.213689i \(-0.0685478\pi\)
\(642\) −2.72184 + 31.6899i −0.107423 + 1.25070i
\(643\) 34.1813 + 5.91531i 1.34798 + 0.233277i 0.798382 0.602152i \(-0.205690\pi\)
0.549599 + 0.835429i \(0.314781\pi\)
\(644\) 2.56439 1.08372i 0.101051 0.0427046i
\(645\) 20.9879 15.2486i 0.826397 0.600412i
\(646\) −47.1765 + 26.6418i −1.85614 + 1.04821i
\(647\) 0.641372 + 22.4510i 0.0252149 + 0.882638i 0.909503 + 0.415697i \(0.136462\pi\)
−0.884288 + 0.466941i \(0.845356\pi\)
\(648\) −2.16658 + 0.636166i −0.0851113 + 0.0249909i
\(649\) 11.4394 39.0863i 0.449036 1.53427i
\(650\) 6.53159 + 1.91785i 0.256190 + 0.0752242i
\(651\) −1.19371 + 4.54134i −0.0467851 + 0.177989i
\(652\) −1.65703 + 8.17777i −0.0648944 + 0.320266i
\(653\) −15.0632 28.5478i −0.589467 1.11716i −0.980450 0.196766i \(-0.936956\pi\)
0.390984 0.920398i \(-0.372135\pi\)
\(654\) −0.693365 + 24.2709i −0.0271127 + 0.949069i
\(655\) −3.96214 15.0735i −0.154814 0.588972i
\(656\) −36.2007 + 2.07003i −1.41340 + 0.0808211i
\(657\) −19.8102 + 20.3842i −0.772869 + 0.795263i
\(658\) 2.93408 1.44259i 0.114382 0.0562380i
\(659\) −13.3316 + 29.1922i −0.519326 + 1.13717i 0.450368 + 0.892843i \(0.351293\pi\)
−0.969694 + 0.244323i \(0.921434\pi\)
\(660\) 5.18448 + 14.4902i 0.201806 + 0.564031i
\(661\) 8.32285 + 18.2245i 0.323721 + 0.708851i 0.999603 0.0281589i \(-0.00896445\pi\)
−0.675882 + 0.737010i \(0.736237\pi\)
\(662\) 0.189794 + 0.155194i 0.00737654 + 0.00603177i
\(663\) 16.0934 30.5004i 0.625016 1.18454i
\(664\) −0.245247 0.138497i −0.00951741 0.00537473i
\(665\) 8.80922 1.01076i 0.341607 0.0391957i
\(666\) 16.2510 1.86463i 0.629715 0.0722530i
\(667\) 10.1015 + 5.70459i 0.391132 + 0.220882i
\(668\) 6.79649 12.8808i 0.262964 0.498373i
\(669\) 39.2290 + 32.0774i 1.51668 + 1.24018i
\(670\) −4.48009 9.81002i −0.173081 0.378994i
\(671\) −10.5379 29.4527i −0.406813 1.13701i
\(672\) 9.80869 21.4780i 0.378379 0.828533i
\(673\) 39.9281 19.6313i 1.53912 0.756732i 0.542588 0.839999i \(-0.317444\pi\)
0.996527 + 0.0832665i \(0.0265353\pi\)
\(674\) −48.2779 + 49.6768i −1.85960 + 1.91348i
\(675\) −2.90342 + 0.166024i −0.111753 + 0.00639026i
\(676\) 0.273594 + 1.04086i 0.0105229 + 0.0400331i
\(677\) −0.530953 + 18.5858i −0.0204062 + 0.714309i 0.923406 + 0.383826i \(0.125394\pi\)
−0.943812 + 0.330484i \(0.892788\pi\)
\(678\) 12.0882 + 22.9096i 0.464244 + 0.879839i
\(679\) 1.59769 7.88491i 0.0613137 0.302595i
\(680\) −0.466190 + 1.77357i −0.0178776 + 0.0680133i
\(681\) −15.8263 4.64703i −0.606466 0.178075i
\(682\) 2.72734 9.31880i 0.104435 0.356835i
\(683\) −0.655873 + 0.192582i −0.0250963 + 0.00736894i −0.294257 0.955726i \(-0.595072\pi\)
0.269160 + 0.963095i \(0.413254\pi\)
\(684\) −1.54950 54.2397i −0.0592468 2.07391i
\(685\) −10.6486 + 6.01351i −0.406860 + 0.229765i
\(686\) −23.0536 + 16.7494i −0.880190 + 0.639495i
\(687\) −2.28625 + 0.966176i −0.0872258 + 0.0368619i
\(688\) 42.7035 + 7.39013i 1.62805 + 0.281746i
\(689\) −0.887420 + 10.3320i −0.0338080 + 0.393619i
\(690\) −0.604577 7.03896i −0.0230159 0.267969i
\(691\) 29.3677 5.08227i 1.11720 0.193339i 0.418126 0.908389i \(-0.362687\pi\)
0.699073 + 0.715050i \(0.253596\pi\)
\(692\) −24.4278 + 15.6988i −0.928606 + 0.596779i
\(693\) −15.2968 4.00643i −0.581077 0.152192i
\(694\) −0.741740 0.476688i −0.0281561 0.0180948i
\(695\) −6.22423 2.63038i −0.236098 0.0997760i
\(696\) 10.9346 2.54273i 0.414475 0.0963819i
\(697\) 10.8820 27.9503i 0.412187 1.05869i
\(698\) −12.0187 19.9307i −0.454913 0.754389i
\(699\) −11.9799 + 36.8704i −0.453123 + 1.39457i
\(700\) −1.23969 + 1.60766i −0.0468560 + 0.0607639i
\(701\) 0.127420 + 0.327276i 0.00481259 + 0.0123610i 0.934250 0.356619i \(-0.116071\pi\)
−0.929437 + 0.368980i \(0.879707\pi\)
\(702\) 11.1742 + 16.3418i 0.421743 + 0.616780i
\(703\) −2.23801 + 15.5657i −0.0844081 + 0.587071i
\(704\) −8.50691 + 17.3407i −0.320616 + 0.653553i
\(705\) −0.549760 3.82367i −0.0207052 0.144008i
\(706\) −21.0555 + 19.3246i −0.792435 + 0.727290i
\(707\) 15.4345 + 0.882576i 0.580474 + 0.0331927i
\(708\) −11.3154 55.8435i −0.425258 2.09873i
\(709\) 16.0305 13.1081i 0.602039 0.492285i −0.282177 0.959362i \(-0.591057\pi\)
0.884216 + 0.467077i \(0.154693\pi\)
\(710\) −3.23306 1.58959i −0.121334 0.0596561i
\(711\) 43.4612 15.5069i 1.62992 0.581555i
\(712\) −3.38992 4.39613i −0.127043 0.164752i
\(713\) −1.07167 + 1.77717i −0.0401344 + 0.0665555i
\(714\) 14.4656 + 16.6942i 0.541361 + 0.624764i
\(715\) 9.23579 7.13483i 0.345399 0.266828i
\(716\) −16.8566 + 19.4536i −0.629961 + 0.727014i
\(717\) −14.3376 44.1266i −0.535447 1.64794i
\(718\) 23.0989 + 8.24168i 0.862044 + 0.307577i
\(719\) 17.4023 + 17.9065i 0.648996 + 0.667801i 0.959154 0.282884i \(-0.0912911\pi\)
−0.310158 + 0.950685i \(0.600382\pi\)
\(720\) −13.4122 12.3096i −0.499842 0.458751i
\(721\) −7.02732 + 10.2771i −0.261711 + 0.382740i
\(722\) 73.3306 + 17.0523i 2.72908 + 0.634621i
\(723\) 2.43379 + 1.76825i 0.0905136 + 0.0657620i
\(724\) −39.9831 4.58764i −1.48596 0.170498i
\(725\) −8.45962 −0.314183
\(726\) 54.4026 + 15.8701i 2.01907 + 0.588993i
\(727\) −7.49684 −0.278042 −0.139021 0.990289i \(-0.544396\pi\)
−0.139021 + 0.990289i \(0.544396\pi\)
\(728\) −2.02972 0.232888i −0.0752263 0.00863142i
\(729\) 33.7980 + 24.5557i 1.25178 + 0.909471i
\(730\) 13.0887 + 3.04364i 0.484434 + 0.112650i
\(731\) −20.2348 + 29.5925i −0.748412 + 1.09452i
\(732\) −32.2431 29.5925i −1.19174 1.09377i
\(733\) −10.5770 10.8835i −0.390670 0.401989i 0.493054 0.869999i \(-0.335880\pi\)
−0.883724 + 0.468009i \(0.844971\pi\)
\(734\) 24.3004 + 8.67036i 0.896943 + 0.320029i
\(735\) 4.64342 + 14.2910i 0.171275 + 0.527131i
\(736\) 6.83383 7.88666i 0.251898 0.290706i
\(737\) −18.1244 3.65588i −0.667622 0.134666i
\(738\) 42.2517 + 48.7610i 1.55531 + 1.79492i
\(739\) 10.5472 17.4906i 0.387985 0.643400i −0.599634 0.800274i \(-0.704687\pi\)
0.987619 + 0.156874i \(0.0501417\pi\)
\(740\) −2.19861 2.85121i −0.0808225 0.104812i
\(741\) −67.1693 + 23.9660i −2.46753 + 0.880411i
\(742\) −5.96093 2.93079i −0.218833 0.107593i
\(743\) −20.9683 + 17.1457i −0.769251 + 0.629013i −0.933980 0.357326i \(-0.883689\pi\)
0.164729 + 0.986339i \(0.447325\pi\)
\(744\) 0.398822 + 1.96827i 0.0146215 + 0.0721601i
\(745\) −22.7536 1.30110i −0.833628 0.0476686i
\(746\) 15.0714 13.8325i 0.551805 0.506442i
\(747\) 0.329153 + 2.28931i 0.0120431 + 0.0837615i
\(748\) −13.4766 16.4516i −0.492753 0.601530i
\(749\) −1.02371 + 7.12008i −0.0374056 + 0.260162i
\(750\) 2.90791 + 4.25269i 0.106182 + 0.155286i
\(751\) 1.66822 + 4.28478i 0.0608741 + 0.156354i 0.959016 0.283352i \(-0.0914464\pi\)
−0.898142 + 0.439706i \(0.855083\pi\)
\(752\) 3.94071 5.11040i 0.143703 0.186357i
\(753\) −17.3566 + 53.4180i −0.632508 + 1.94666i
\(754\) 29.7380 + 49.3150i 1.08300 + 1.79595i
\(755\) 6.92076 17.7758i 0.251872 0.646929i
\(756\) −5.75051 + 1.33722i −0.209144 + 0.0486344i
\(757\) −7.49567 3.16770i −0.272435 0.115132i 0.248773 0.968562i \(-0.419973\pi\)
−0.521208 + 0.853430i \(0.674518\pi\)
\(758\) −0.547129 0.351618i −0.0198726 0.0127714i
\(759\) −10.3778 6.24561i −0.376691 0.226701i
\(760\) 3.19032 2.05029i 0.115725 0.0743719i
\(761\) 19.8690 3.43846i 0.720250 0.124644i 0.201400 0.979509i \(-0.435451\pi\)
0.518850 + 0.854865i \(0.326360\pi\)
\(762\) −7.49258 87.2345i −0.271427 3.16017i
\(763\) −0.469918 + 5.47116i −0.0170122 + 0.198069i
\(764\) −6.03580 1.04454i −0.218367 0.0377900i
\(765\) 13.8711 5.86197i 0.501510 0.211940i
\(766\) 3.38537 2.45962i 0.122318 0.0888695i
\(767\) −37.6242 + 21.2474i −1.35853 + 0.767198i
\(768\) −1.46736 51.3644i −0.0529489 1.85345i
\(769\) −51.6479 + 15.1652i −1.86247 + 0.546871i −0.863366 + 0.504579i \(0.831648\pi\)
−0.999105 + 0.0422922i \(0.986534\pi\)
\(770\) 2.11243 + 7.17090i 0.0761265 + 0.258421i
\(771\) −49.4488 14.5195i −1.78086 0.522906i
\(772\) 4.48224 17.0522i 0.161319 0.613723i
\(773\) 3.62306 17.8805i 0.130312 0.643117i −0.860674 0.509156i \(-0.829958\pi\)
0.990987 0.133961i \(-0.0427697\pi\)
\(774\) −35.9871 68.2032i −1.29353 2.45151i
\(775\) 0.0432148 1.51271i 0.00155232 0.0543383i
\(776\) −0.874723 3.32779i −0.0314007 0.119461i
\(777\) 6.40111 0.366029i 0.229639 0.0131312i
\(778\) 28.6664 29.4970i 1.02774 1.05752i
\(779\) −55.6635 + 27.3679i −1.99435 + 0.980557i
\(780\) 6.78297 14.8526i 0.242869 0.531809i
\(781\) −5.46024 + 2.88722i −0.195383 + 0.103313i
\(782\) 4.05560 + 8.88053i 0.145028 + 0.317567i
\(783\) −19.0454 15.5734i −0.680628 0.556547i
\(784\) −11.7145 + 22.2014i −0.418374 + 0.792908i
\(785\) 9.18031 + 5.18436i 0.327659 + 0.185038i
\(786\) −79.7707 + 9.15284i −2.84533 + 0.326471i
\(787\) −25.6202 + 2.93965i −0.913263 + 0.104787i −0.557868 0.829929i \(-0.688381\pi\)
−0.355394 + 0.934716i \(0.615653\pi\)
\(788\) −21.5926 12.1939i −0.769205 0.434390i
\(789\) −4.01436 + 7.60806i −0.142915 + 0.270854i
\(790\) −16.8881 13.8093i −0.600851 0.491313i
\(791\) 2.43359 + 5.32881i 0.0865284 + 0.189471i
\(792\) −6.62708 + 1.34889i −0.235483 + 0.0479308i
\(793\) −13.7870 + 30.1893i −0.489591 + 1.07205i
\(794\) 34.1014 16.7665i 1.21021 0.595022i
\(795\) −5.46966 + 5.62814i −0.193989 + 0.199610i
\(796\) −24.5199 + 1.40210i −0.869084 + 0.0496960i
\(797\) −4.66075 17.7313i −0.165092 0.628076i −0.997288 0.0735947i \(-0.976553\pi\)
0.832196 0.554482i \(-0.187083\pi\)
\(798\) 1.30448 45.6627i 0.0461780 1.61644i
\(799\) 2.49115 + 4.72125i 0.0881304 + 0.167026i
\(800\) −1.51123 + 7.45820i −0.0534299 + 0.263687i
\(801\) −11.5889 + 44.0888i −0.409474 + 1.55780i
\(802\) −25.5840 7.51213i −0.903401 0.265262i
\(803\) 17.3980 15.1023i 0.613961 0.532947i
\(804\) −24.8203 + 7.28788i −0.875343 + 0.257024i
\(805\) −0.0456262 1.59713i −0.00160811 0.0562913i
\(806\) −8.97021 + 5.06571i −0.315962 + 0.178432i
\(807\) 54.9634 39.9333i 1.93481 1.40572i
\(808\) 6.09044 2.57384i 0.214261 0.0905474i
\(809\) −5.67534 0.982157i −0.199535 0.0345308i 0.0698786 0.997556i \(-0.477739\pi\)
−0.269413 + 0.963025i \(0.586830\pi\)
\(810\) 0.750160 8.73396i 0.0263579 0.306880i
\(811\) −1.96458 22.8732i −0.0689858 0.803187i −0.946304 0.323278i \(-0.895215\pi\)
0.877318 0.479909i \(-0.159330\pi\)
\(812\) −16.9226 + 2.92857i −0.593866 + 0.102773i
\(813\) −37.5622 + 24.1398i −1.31736 + 0.846618i
\(814\) −13.2523 + 0.390262i −0.464492 + 0.0136787i
\(815\) 4.02855 + 2.58899i 0.141114 + 0.0906884i
\(816\) 40.1608 + 16.9721i 1.40591 + 0.594142i
\(817\) 72.2096 16.7916i 2.52629 0.587464i
\(818\) 25.6704 65.9338i 0.897543 2.30532i
\(819\) 8.66356 + 14.3669i 0.302729 + 0.502020i
\(820\) 4.38847 13.5063i 0.153252 0.471662i
\(821\) 17.9315 23.2540i 0.625815 0.811571i −0.367127 0.930171i \(-0.619659\pi\)
0.992942 + 0.118599i \(0.0378404\pi\)
\(822\) 22.8579 + 58.7101i 0.797261 + 2.04775i
\(823\) −24.6788 36.0916i −0.860249 1.25807i −0.964649 0.263539i \(-0.915110\pi\)
0.104400 0.994535i \(-0.466708\pi\)
\(824\) −0.757790 + 5.27055i −0.0263989 + 0.183608i
\(825\) 8.82907 + 0.244448i 0.307389 + 0.00851060i
\(826\) −3.93888 27.3955i −0.137051 0.953212i
\(827\) 35.5544 32.6316i 1.23635 1.13471i 0.250315 0.968164i \(-0.419466\pi\)
0.986034 0.166546i \(-0.0532615\pi\)
\(828\) −9.76167 0.558193i −0.339242 0.0193985i
\(829\) −3.28090 16.1919i −0.113950 0.562366i −0.995856 0.0909413i \(-0.971012\pi\)
0.881906 0.471425i \(-0.156260\pi\)
\(830\) 0.846459 0.692146i 0.0293810 0.0240247i
\(831\) −76.9461 37.8319i −2.66923 1.31237i
\(832\) 19.3009 6.88656i 0.669139 0.238748i
\(833\) −12.6799 16.4436i −0.439332 0.569735i
\(834\) −17.9768 + 29.8112i −0.622486 + 1.03228i
\(835\) −5.47363 6.31691i −0.189423 0.218606i
\(836\) −2.47210 + 43.9102i −0.0854993 + 1.51866i
\(837\) 2.88205 3.32607i 0.0996184 0.114966i
\(838\) 23.2707 + 71.6199i 0.803874 + 2.47407i
\(839\) −0.975898 0.348200i −0.0336917 0.0120212i 0.319150 0.947704i \(-0.396603\pi\)
−0.352842 + 0.935683i \(0.614785\pi\)
\(840\) −1.07759 1.10881i −0.0371804 0.0382577i
\(841\) −31.3596 28.7815i −1.08136 0.992467i
\(842\) 15.9636 23.3461i 0.550143 0.804559i
\(843\) −37.8443 8.80031i −1.30343 0.303099i
\(844\) 2.55794 + 1.85845i 0.0880480 + 0.0639706i
\(845\) 0.613633 + 0.0704079i 0.0211096 + 0.00242210i
\(846\) −11.4829 −0.394791
\(847\) 12.0786 + 4.28568i 0.415025 + 0.147258i
\(848\) −13.1107 −0.450224
\(849\) −57.3050 6.57514i −1.96670 0.225658i
\(850\) −5.75953 4.18454i −0.197550 0.143529i
\(851\) 2.76003 + 0.641819i 0.0946128 + 0.0220013i
\(852\) −4.87763 + 7.13330i −0.167105 + 0.244383i
\(853\) 41.3136 + 37.9173i 1.41455 + 1.29826i 0.896593 + 0.442855i \(0.146034\pi\)
0.517956 + 0.855407i \(0.326693\pi\)
\(854\) −14.8159 15.2452i −0.506990 0.521681i
\(855\) −29.3307 10.4652i −1.00309 0.357902i
\(856\) 0.950692 + 2.92593i 0.0324940 + 0.100006i
\(857\) 21.5275 24.8441i 0.735366 0.848658i −0.257699 0.966225i \(-0.582964\pi\)
0.993065 + 0.117568i \(0.0375097\pi\)
\(858\) −29.6118 52.3280i −1.01093 1.78645i
\(859\) −16.6037 19.1617i −0.566510 0.653787i 0.398139 0.917325i \(-0.369656\pi\)
−0.964649 + 0.263538i \(0.915111\pi\)
\(860\) −8.76517 + 14.5354i −0.298890 + 0.495653i
\(861\) 15.4429 + 20.0267i 0.526293 + 0.682508i
\(862\) −43.2470 + 15.4305i −1.47300 + 0.525565i
\(863\) 43.2007 + 21.2404i 1.47057 + 0.723030i 0.988233 0.152956i \(-0.0488793\pi\)
0.482336 + 0.875986i \(0.339788\pi\)
\(864\) −17.1321 + 14.0089i −0.582846 + 0.476591i
\(865\) 3.30952 + 16.3331i 0.112527 + 0.555343i
\(866\) 0.297441 + 0.0170083i 0.0101074 + 0.000577965i
\(867\) 6.78311 6.22548i 0.230366 0.211428i
\(868\) −0.437227 3.04098i −0.0148405 0.103218i
\(869\) −36.1636 + 9.53980i −1.22677 + 0.323615i
\(870\) −6.20244 + 43.1389i −0.210282 + 1.46255i
\(871\) 11.0726 + 16.1932i 0.375181 + 0.548685i
\(872\) 0.852082 + 2.18855i 0.0288551 + 0.0741138i
\(873\) −17.2541 + 22.3755i −0.583962 + 0.757295i
\(874\) 6.23888 19.2013i 0.211033 0.649494i
\(875\) 0.601667 + 0.997753i 0.0203401 + 0.0337302i
\(876\) 11.6941 30.0362i 0.395109 1.01483i
\(877\) −51.6412 + 12.0086i −1.74380 + 0.405503i −0.972858 0.231404i \(-0.925668\pi\)
−0.770941 + 0.636907i \(0.780214\pi\)
\(878\) 11.4764 + 4.84997i 0.387310 + 0.163679i
\(879\) 38.7973 + 24.9335i 1.30860 + 0.840987i
\(880\) 9.98658 + 10.8619i 0.336648 + 0.366154i
\(881\) −47.0400 + 30.2308i −1.58482 + 1.01850i −0.610870 + 0.791731i \(0.709180\pi\)
−0.973948 + 0.226770i \(0.927184\pi\)
\(882\) 44.0126 7.61668i 1.48198 0.256467i
\(883\) 0.451433 + 5.25594i 0.0151919 + 0.176876i 0.999995 + 0.00320098i \(0.00101891\pi\)
−0.984803 + 0.173675i \(0.944436\pi\)
\(884\) −1.93087 + 22.4807i −0.0649422 + 0.756108i
\(885\) −32.2219 5.57623i −1.08313 0.187443i
\(886\) 16.2730 6.87705i 0.546704 0.231039i
\(887\) −0.771157 + 0.560278i −0.0258929 + 0.0188123i −0.600656 0.799507i \(-0.705094\pi\)
0.574764 + 0.818320i \(0.305094\pi\)
\(888\) 2.38773 1.34841i 0.0801270 0.0452498i
\(889\) −0.565449 19.7933i −0.0189646 0.663846i
\(890\) 20.6783 6.07169i 0.693138 0.203524i
\(891\) −11.3668 9.83184i −0.380801 0.329379i
\(892\) −31.8122 9.34091i −1.06515 0.312757i
\(893\) 2.80640 10.6767i 0.0939127 0.357281i
\(894\) −23.3173 + 115.076i −0.779848 + 3.84870i
\(895\) 6.89411 + 13.0658i 0.230445 + 0.436741i
\(896\) 0.131536 4.60437i 0.00439432 0.153821i
\(897\) 3.26691 + 12.4286i 0.109079 + 0.414979i
\(898\) 47.0981 2.69317i 1.57168 0.0898721i
\(899\) 8.92234 9.18087i 0.297577 0.306199i
\(900\) 6.39845 3.14591i 0.213282 0.104864i
\(901\) 4.50523 9.86507i 0.150091 0.328653i
\(902\) −30.7749 42.2797i −1.02469 1.40776i
\(903\) −12.5564 27.4947i −0.417851 0.914966i
\(904\) 1.93961 + 1.58601i 0.0645105 + 0.0527500i
\(905\) −10.7789 + 20.4283i −0.358302 + 0.679058i
\(906\) −85.5717 48.3245i −2.84293 1.60548i
\(907\) 57.3084 6.57553i 1.90289 0.218337i 0.918640 0.395095i \(-0.129288\pi\)
0.984254 + 0.176758i \(0.0565611\pi\)
\(908\) 10.7217 1.23020i 0.355812 0.0408256i
\(909\) −47.2780 26.6991i −1.56811 0.885553i
\(910\) 3.70132 7.01479i 0.122698 0.232538i
\(911\) 10.2646 + 8.39336i 0.340083 + 0.278084i 0.787595 0.616194i \(-0.211326\pi\)
−0.447512 + 0.894278i \(0.647690\pi\)
\(912\) −37.4557 82.0165i −1.24028 2.71584i
\(913\) −0.108665 1.87144i −0.00359630 0.0619355i
\(914\) 17.0872 37.4158i 0.565195 1.23760i
\(915\) −22.5402 + 11.0823i −0.745155 + 0.366368i
\(916\) 1.13179 1.16458i 0.0373953 0.0384789i
\(917\) −18.1295 + 1.03668i −0.598689 + 0.0342343i
\(918\) −5.26327 20.0236i −0.173714 0.660876i
\(919\) −0.693875 + 24.2888i −0.0228888 + 0.801214i 0.904361 + 0.426769i \(0.140348\pi\)
−0.927249 + 0.374444i \(0.877833\pi\)
\(920\) −0.318899 0.604381i −0.0105138 0.0199258i
\(921\) 11.1555 55.0543i 0.367585 1.81410i
\(922\) −6.90266 + 26.2604i −0.227327 + 0.864841i
\(923\) 6.28775 + 1.84625i 0.206964 + 0.0607701i
\(924\) 17.7462 2.56747i 0.583809 0.0844636i
\(925\) −1.98266 + 0.582162i −0.0651895 + 0.0191414i
\(926\) 0.0868077 + 3.03867i 0.00285268 + 0.0998568i
\(927\) 38.0739 21.5013i 1.25051 0.706196i
\(928\) −52.0811 + 37.8391i −1.70965 + 1.24213i
\(929\) 24.5131 10.3593i 0.804247 0.339878i 0.0519066 0.998652i \(-0.483470\pi\)
0.752341 + 0.658774i \(0.228925\pi\)
\(930\) −7.68223 1.32946i −0.251910 0.0435948i
\(931\) −3.67470 + 42.7838i −0.120434 + 1.40218i
\(932\) −2.17062 25.2721i −0.0711011 0.827816i
\(933\) −34.6030 + 5.98828i −1.13285 + 0.196047i
\(934\) −51.2741 + 32.9519i −1.67774 + 1.07822i
\(935\) −11.6046 + 3.78188i −0.379513 + 0.123681i
\(936\) 6.03627 + 3.87928i 0.197302 + 0.126798i
\(937\) −9.74211 4.11705i −0.318261 0.134498i 0.224287 0.974523i \(-0.427995\pi\)
−0.542548 + 0.840025i \(0.682540\pi\)
\(938\) −12.2389 + 2.84602i −0.399613 + 0.0929260i
\(939\) 13.3792 34.3641i 0.436613 1.12143i
\(940\) 1.30519 + 2.16441i 0.0425705 + 0.0705953i
\(941\) 7.27314 22.3844i 0.237098 0.729711i −0.759739 0.650228i \(-0.774673\pi\)
0.996836 0.0794826i \(-0.0253268\pi\)
\(942\) 33.1679 43.0129i 1.08067 1.40144i
\(943\) 4.05509 + 10.4154i 0.132052 + 0.339173i
\(944\) −30.8347 45.0943i −1.00358 1.46770i
\(945\) −0.482216 + 3.35389i −0.0156865 + 0.109102i
\(946\) 24.3810 + 57.5511i 0.792696 + 1.87115i
\(947\) −4.82184 33.5366i −0.156689 1.08979i −0.904682 0.426087i \(-0.859892\pi\)
0.747994 0.663706i \(-0.231017\pi\)
\(948\) −38.5510 + 35.3817i −1.25208 + 1.14915i
\(949\) −24.4033 1.39543i −0.792165 0.0452976i
\(950\) 2.92374 + 14.4292i 0.0948587 + 0.468146i
\(951\) 25.7659 21.0687i 0.835518 0.683200i
\(952\) 1.91740 + 0.942723i 0.0621434 + 0.0305538i
\(953\) 9.92779 3.54223i 0.321593 0.114744i −0.170319 0.985389i \(-0.554480\pi\)
0.491912 + 0.870645i \(0.336298\pi\)
\(954\) 14.2458 + 18.4743i 0.461224 + 0.598126i
\(955\) −1.81541 + 3.01053i −0.0587454 + 0.0974184i
\(956\) 19.8796 + 22.9423i 0.642953 + 0.742007i
\(957\) 53.6294 + 52.0275i 1.73359 + 1.68181i
\(958\) −2.62347 + 3.02764i −0.0847604 + 0.0978187i
\(959\) 4.40305 + 13.5512i 0.142182 + 0.437591i
\(960\) 14.6070 + 5.21178i 0.471440 + 0.168209i
\(961\) −20.0090 20.5887i −0.645450 0.664153i
\(962\) 10.3633 + 9.51136i 0.334127 + 0.306659i
\(963\) 14.2598 20.8543i 0.459517 0.672022i
\(964\) −1.91715 0.445813i −0.0617471 0.0143587i
\(965\) −8.18644 5.94780i −0.263531 0.191466i
\(966\) −8.17781 0.938316i −0.263117 0.0301898i
\(967\) −48.9630 −1.57454 −0.787272 0.616606i \(-0.788507\pi\)
−0.787272 + 0.616606i \(0.788507\pi\)
\(968\) 5.44460 0.634423i 0.174996 0.0203911i
\(969\) 74.5837 2.39597
\(970\) 13.2708 + 1.52268i 0.426100 + 0.0488904i
\(971\) 21.4927 + 15.6154i 0.689733 + 0.501120i 0.876572 0.481270i \(-0.159824\pi\)
−0.186839 + 0.982391i \(0.559824\pi\)
\(972\) −35.2867 8.20557i −1.13182 0.263194i
\(973\) −4.44386 + 6.49894i −0.142464 + 0.208346i
\(974\) −14.6784 13.4718i −0.470328 0.431663i
\(975\) −6.53101 6.72025i −0.209160 0.215220i
\(976\) −39.5195 14.1005i −1.26499 0.451346i
\(977\) 11.2087 + 34.4967i 0.358597 + 1.10365i 0.953894 + 0.300143i \(0.0970344\pi\)
−0.595297 + 0.803506i \(0.702966\pi\)
\(978\) 16.1559 18.6449i 0.516609 0.596199i
\(979\) 12.3858 34.8104i 0.395851 1.11254i
\(980\) −6.43828 7.43018i −0.205663 0.237348i
\(981\) 9.95922 16.5155i 0.317974 0.527300i
\(982\) 40.4477 + 52.4535i 1.29074 + 1.67386i
\(983\) 2.45921 0.877443i 0.0784365 0.0279861i −0.296540 0.955021i \(-0.595833\pi\)
0.374976 + 0.927034i \(0.377651\pi\)
\(984\) 9.70628 + 4.77226i 0.309425 + 0.152134i
\(985\) −11.0175 + 9.00897i −0.351047 + 0.287050i
\(986\) −11.9602 59.0260i −0.380891 1.87977i
\(987\) −4.49352 0.256949i −0.143030 0.00817877i
\(988\) 34.3773 31.5512i 1.09369 1.00378i
\(989\) −1.90116 13.2229i −0.0604535 0.420463i
\(990\) 4.45427 25.8743i 0.141566 0.822340i
\(991\) −2.48887 + 17.3105i −0.0790616 + 0.549885i 0.911339 + 0.411657i \(0.135050\pi\)
−0.990400 + 0.138228i \(0.955859\pi\)
\(992\) −6.50018 9.50621i −0.206381 0.301823i
\(993\) −0.122447 0.314502i −0.00388573 0.00998042i
\(994\) −2.56325 + 3.32408i −0.0813014 + 0.105434i
\(995\) −4.35571 + 13.4055i −0.138085 + 0.424982i
\(996\) −1.35435 2.24593i −0.0429141 0.0711650i
\(997\) 16.4886 42.3507i 0.522200 1.34126i −0.385913 0.922535i \(-0.626114\pi\)
0.908113 0.418725i \(-0.137523\pi\)
\(998\) −43.8345 + 10.1933i −1.38756 + 0.322663i
\(999\) −5.53533 2.33925i −0.175130 0.0740106i
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 605.2.s.a.16.19 880
121.53 even 55 inner 605.2.s.a.416.19 yes 880
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
605.2.s.a.16.19 880 1.1 even 1 trivial
605.2.s.a.416.19 yes 880 121.53 even 55 inner