Properties

Label 288.2.bf.a.11.6
Level $288$
Weight $2$
Character 288.11
Analytic conductor $2.300$
Analytic rank $0$
Dimension $368$
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] = [288,2,Mod(11,288)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(288, base_ring=CyclotomicField(24))
 
chi = DirichletCharacter(H, H._module([12, 15, 4]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("288.11");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 288 = 2^{5} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 288.bf (of order \(24\), degree \(8\), 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: \(2.29969157821\)
Analytic rank: \(0\)
Dimension: \(368\)
Relative dimension: \(46\) over \(\Q(\zeta_{24})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{24}]$

Embedding invariants

Embedding label 11.6
Character \(\chi\) \(=\) 288.11
Dual form 288.2.bf.a.131.6

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-1.31237 - 0.526966i) q^{2} +(1.34553 - 1.09066i) q^{3} +(1.44461 + 1.38314i) q^{4} +(0.197197 + 1.49786i) q^{5} +(-2.34057 + 0.722304i) q^{6} +(-0.749169 - 2.79594i) q^{7} +(-1.16699 - 2.57646i) q^{8} +(0.620902 - 2.93504i) q^{9} +O(q^{10})\) \(q+(-1.31237 - 0.526966i) q^{2} +(1.34553 - 1.09066i) q^{3} +(1.44461 + 1.38314i) q^{4} +(0.197197 + 1.49786i) q^{5} +(-2.34057 + 0.722304i) q^{6} +(-0.749169 - 2.79594i) q^{7} +(-1.16699 - 2.57646i) q^{8} +(0.620902 - 2.93504i) q^{9} +(0.530525 - 2.06965i) q^{10} +(-2.13008 + 1.63447i) q^{11} +(3.45232 + 0.285474i) q^{12} +(3.66441 - 4.77555i) q^{13} +(-0.490179 + 4.06408i) q^{14} +(1.89899 + 1.80034i) q^{15} +(0.173820 + 3.99622i) q^{16} +6.71770 q^{17} +(-2.36152 + 3.52466i) q^{18} +(0.341097 - 0.141287i) q^{19} +(-1.78688 + 2.43658i) q^{20} +(-4.05746 - 2.94493i) q^{21} +(3.65676 - 1.02254i) q^{22} +(-1.19267 - 0.319575i) q^{23} +(-4.38027 - 2.19390i) q^{24} +(2.62494 - 0.703350i) q^{25} +(-7.32561 + 4.33626i) q^{26} +(-2.36571 - 4.62638i) q^{27} +(2.78493 - 5.07526i) q^{28} +(-4.33716 - 0.570998i) q^{29} +(-1.54346 - 3.36341i) q^{30} +(-2.61091 + 1.50741i) q^{31} +(1.87776 - 5.33611i) q^{32} +(-1.08343 + 4.52243i) q^{33} +(-8.81608 - 3.54000i) q^{34} +(4.04018 - 1.67350i) q^{35} +(4.95655 - 3.38121i) q^{36} +(-1.12563 + 2.71752i) q^{37} +(-0.522098 + 0.00567395i) q^{38} +(-0.277952 - 10.4223i) q^{39} +(3.62904 - 2.25606i) q^{40} +(-0.617779 + 2.30558i) q^{41} +(3.77300 + 6.00297i) q^{42} +(4.06261 + 5.29450i) q^{43} +(-5.33785 - 0.585034i) q^{44} +(4.51872 + 0.351242i) q^{45} +(1.39681 + 1.04790i) q^{46} +(-7.66225 - 4.42380i) q^{47} +(4.59242 + 5.18746i) q^{48} +(-1.19384 + 0.689264i) q^{49} +(-3.81552 - 0.460199i) q^{50} +(9.03886 - 7.32675i) q^{51} +(11.8989 - 1.83042i) q^{52} +(-4.18058 + 10.0928i) q^{53} +(0.666728 + 7.31816i) q^{54} +(-2.86824 - 2.86824i) q^{55} +(-6.32934 + 5.19305i) q^{56} +(0.304859 - 0.562128i) q^{57} +(5.39105 + 3.03489i) q^{58} +(11.3742 - 1.49744i) q^{59} +(0.253187 + 5.22738i) q^{60} +(-0.560911 + 4.26054i) q^{61} +(4.22082 - 0.602414i) q^{62} +(-8.67136 + 0.462842i) q^{63} +(-5.27625 + 6.01342i) q^{64} +(7.87571 + 4.54704i) q^{65} +(3.80502 - 5.36416i) q^{66} +(-9.36140 + 12.2000i) q^{67} +(9.70448 + 9.29155i) q^{68} +(-1.95332 + 0.870805i) q^{69} +(-6.18408 + 0.0672062i) q^{70} +(-0.817505 - 0.817505i) q^{71} +(-8.28660 + 1.82545i) q^{72} +(-5.70168 + 5.70168i) q^{73} +(2.90928 - 2.97321i) q^{74} +(2.76481 - 3.80931i) q^{75} +(0.688174 + 0.267681i) q^{76} +(6.16566 + 4.73108i) q^{77} +(-5.12742 + 13.8243i) q^{78} +(-1.89149 + 3.27615i) q^{79} +(-5.95149 + 1.04840i) q^{80} +(-8.22896 - 3.64475i) q^{81} +(2.02572 - 2.70022i) q^{82} +(-0.820020 - 0.107958i) q^{83} +(-1.78821 - 9.86634i) q^{84} +(1.32471 + 10.0622i) q^{85} +(-2.54162 - 9.08918i) q^{86} +(-6.45855 + 3.96209i) q^{87} +(6.69693 + 3.58064i) q^{88} +(-4.98702 + 4.98702i) q^{89} +(-5.74512 - 2.84217i) q^{90} +(-16.0974 - 6.66777i) q^{91} +(-1.28093 - 2.11130i) q^{92} +(-1.86898 + 4.87589i) q^{93} +(7.72449 + 9.84340i) q^{94} +(0.278891 + 0.483053i) q^{95} +(-3.29332 - 9.22789i) q^{96} +(9.22126 - 15.9717i) q^{97} +(1.92997 - 0.275454i) q^{98} +(3.47466 + 7.26672i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 368 q - 12 q^{2} - 8 q^{3} - 4 q^{4} - 12 q^{5} - 8 q^{6} - 4 q^{7} - 8 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 368 q - 12 q^{2} - 8 q^{3} - 4 q^{4} - 12 q^{5} - 8 q^{6} - 4 q^{7} - 8 q^{9} - 16 q^{10} - 12 q^{11} - 8 q^{12} - 4 q^{13} - 12 q^{14} - 16 q^{15} - 4 q^{16} - 8 q^{18} - 16 q^{19} - 12 q^{20} - 8 q^{21} - 4 q^{22} - 12 q^{23} + 32 q^{24} - 4 q^{25} + 16 q^{27} - 16 q^{28} - 12 q^{29} - 56 q^{30} - 12 q^{32} - 16 q^{33} - 12 q^{34} - 60 q^{36} - 16 q^{37} - 12 q^{38} + 16 q^{39} - 4 q^{40} - 12 q^{41} - 8 q^{42} - 4 q^{43} - 8 q^{45} - 16 q^{46} - 24 q^{47} - 60 q^{48} - 168 q^{50} - 32 q^{51} - 4 q^{52} - 52 q^{54} - 16 q^{55} - 12 q^{56} - 8 q^{57} + 32 q^{58} - 12 q^{59} - 20 q^{60} - 4 q^{61} - 16 q^{64} - 24 q^{65} - 80 q^{66} - 4 q^{67} - 60 q^{68} - 8 q^{69} - 4 q^{70} + 52 q^{72} - 16 q^{73} - 12 q^{74} - 28 q^{75} - 28 q^{76} - 12 q^{77} + 80 q^{78} - 8 q^{79} - 16 q^{82} - 132 q^{83} - 104 q^{84} - 24 q^{85} - 12 q^{86} - 64 q^{87} - 4 q^{88} + 124 q^{90} - 16 q^{91} + 216 q^{92} - 20 q^{93} - 20 q^{94} + 92 q^{96} - 8 q^{97} - 72 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/288\mathbb{Z}\right)^\times\).

\(n\) \(37\) \(65\) \(127\)
\(\chi(n)\) \(e\left(\frac{5}{8}\right)\) \(e\left(\frac{1}{6}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.31237 0.526966i −0.927984 0.372621i
\(3\) 1.34553 1.09066i 0.776842 0.629695i
\(4\) 1.44461 + 1.38314i 0.722307 + 0.691572i
\(5\) 0.197197 + 1.49786i 0.0881890 + 0.669862i 0.977253 + 0.212078i \(0.0680232\pi\)
−0.889064 + 0.457784i \(0.848643\pi\)
\(6\) −2.34057 + 0.722304i −0.955535 + 0.294879i
\(7\) −0.749169 2.79594i −0.283159 1.05677i −0.950174 0.311721i \(-0.899095\pi\)
0.667014 0.745045i \(-0.267572\pi\)
\(8\) −1.16699 2.57646i −0.412595 0.910915i
\(9\) 0.620902 2.93504i 0.206967 0.978348i
\(10\) 0.530525 2.06965i 0.167767 0.654482i
\(11\) −2.13008 + 1.63447i −0.642243 + 0.492811i −0.877786 0.479053i \(-0.840980\pi\)
0.235542 + 0.971864i \(0.424313\pi\)
\(12\) 3.45232 + 0.285474i 0.996599 + 0.0824091i
\(13\) 3.66441 4.77555i 1.01632 1.32450i 0.0713167 0.997454i \(-0.477280\pi\)
0.945008 0.327047i \(-0.106053\pi\)
\(14\) −0.490179 + 4.06408i −0.131006 + 1.08617i
\(15\) 1.89899 + 1.80034i 0.490318 + 0.464845i
\(16\) 0.173820 + 3.99622i 0.0434550 + 0.999055i
\(17\) 6.71770 1.62928 0.814641 0.579966i \(-0.196934\pi\)
0.814641 + 0.579966i \(0.196934\pi\)
\(18\) −2.36152 + 3.52466i −0.556615 + 0.830770i
\(19\) 0.341097 0.141287i 0.0782530 0.0324134i −0.343214 0.939257i \(-0.611515\pi\)
0.421467 + 0.906844i \(0.361515\pi\)
\(20\) −1.78688 + 2.43658i −0.399559 + 0.544835i
\(21\) −4.05746 2.94493i −0.885411 0.642636i
\(22\) 3.65676 1.02254i 0.779623 0.218007i
\(23\) −1.19267 0.319575i −0.248689 0.0666359i 0.132321 0.991207i \(-0.457757\pi\)
−0.381010 + 0.924571i \(0.624424\pi\)
\(24\) −4.38027 2.19390i −0.894120 0.447828i
\(25\) 2.62494 0.703350i 0.524988 0.140670i
\(26\) −7.32561 + 4.33626i −1.43667 + 0.850411i
\(27\) −2.36571 4.62638i −0.455280 0.890348i
\(28\) 2.78493 5.07526i 0.526302 0.959134i
\(29\) −4.33716 0.570998i −0.805391 0.106032i −0.283421 0.958996i \(-0.591469\pi\)
−0.521970 + 0.852964i \(0.674803\pi\)
\(30\) −1.54346 3.36341i −0.281796 0.614071i
\(31\) −2.61091 + 1.50741i −0.468933 + 0.270739i −0.715793 0.698312i \(-0.753935\pi\)
0.246860 + 0.969051i \(0.420601\pi\)
\(32\) 1.87776 5.33611i 0.331944 0.943299i
\(33\) −1.08343 + 4.52243i −0.188601 + 0.787254i
\(34\) −8.81608 3.54000i −1.51195 0.607104i
\(35\) 4.04018 1.67350i 0.682916 0.282873i
\(36\) 4.95655 3.38121i 0.826092 0.563535i
\(37\) −1.12563 + 2.71752i −0.185053 + 0.446757i −0.988995 0.147951i \(-0.952732\pi\)
0.803942 + 0.594708i \(0.202732\pi\)
\(38\) −0.522098 + 0.00567395i −0.0846954 + 0.000920437i
\(39\) −0.277952 10.4223i −0.0445079 1.66890i
\(40\) 3.62904 2.25606i 0.573801 0.356714i
\(41\) −0.617779 + 2.30558i −0.0964809 + 0.360071i −0.997240 0.0742479i \(-0.976344\pi\)
0.900759 + 0.434319i \(0.143011\pi\)
\(42\) 3.77300 + 6.00297i 0.582187 + 0.926278i
\(43\) 4.06261 + 5.29450i 0.619542 + 0.807403i 0.992731 0.120352i \(-0.0384024\pi\)
−0.373189 + 0.927755i \(0.621736\pi\)
\(44\) −5.33785 0.585034i −0.804711 0.0881972i
\(45\) 4.51872 + 0.351242i 0.673610 + 0.0523600i
\(46\) 1.39681 + 1.04790i 0.205949 + 0.154504i
\(47\) −7.66225 4.42380i −1.11765 0.645278i −0.176853 0.984237i \(-0.556592\pi\)
−0.940801 + 0.338959i \(0.889925\pi\)
\(48\) 4.59242 + 5.18746i 0.662858 + 0.748745i
\(49\) −1.19384 + 0.689264i −0.170549 + 0.0984662i
\(50\) −3.81552 0.460199i −0.539597 0.0650820i
\(51\) 9.03886 7.32675i 1.26569 1.02595i
\(52\) 11.8989 1.83042i 1.65009 0.253834i
\(53\) −4.18058 + 10.0928i −0.574247 + 1.38636i 0.323661 + 0.946173i \(0.395086\pi\)
−0.897909 + 0.440182i \(0.854914\pi\)
\(54\) 0.666728 + 7.31816i 0.0907302 + 0.995876i
\(55\) −2.86824 2.86824i −0.386754 0.386754i
\(56\) −6.32934 + 5.19305i −0.845793 + 0.693950i
\(57\) 0.304859 0.562128i 0.0403796 0.0744557i
\(58\) 5.39105 + 3.03489i 0.707880 + 0.398501i
\(59\) 11.3742 1.49744i 1.48079 0.194949i 0.653585 0.756853i \(-0.273264\pi\)
0.827203 + 0.561903i \(0.189931\pi\)
\(60\) 0.253187 + 5.22738i 0.0326863 + 0.674851i
\(61\) −0.560911 + 4.26054i −0.0718173 + 0.545506i 0.917280 + 0.398243i \(0.130380\pi\)
−0.989097 + 0.147264i \(0.952953\pi\)
\(62\) 4.22082 0.602414i 0.536045 0.0765067i
\(63\) −8.67136 + 0.462842i −1.09249 + 0.0583126i
\(64\) −5.27625 + 6.01342i −0.659531 + 0.751677i
\(65\) 7.87571 + 4.54704i 0.976861 + 0.563991i
\(66\) 3.80502 5.36416i 0.468366 0.660282i
\(67\) −9.36140 + 12.2000i −1.14368 + 1.49047i −0.299744 + 0.954020i \(0.596901\pi\)
−0.843933 + 0.536449i \(0.819765\pi\)
\(68\) 9.70448 + 9.29155i 1.17684 + 1.12677i
\(69\) −1.95332 + 0.870805i −0.235152 + 0.104833i
\(70\) −6.18408 + 0.0672062i −0.739139 + 0.00803267i
\(71\) −0.817505 0.817505i −0.0970199 0.0970199i 0.656931 0.753951i \(-0.271854\pi\)
−0.753951 + 0.656931i \(0.771854\pi\)
\(72\) −8.28660 + 1.82545i −0.976585 + 0.215132i
\(73\) −5.70168 + 5.70168i −0.667331 + 0.667331i −0.957097 0.289767i \(-0.906422\pi\)
0.289767 + 0.957097i \(0.406422\pi\)
\(74\) 2.90928 2.97321i 0.338197 0.345629i
\(75\) 2.76481 3.80931i 0.319253 0.439861i
\(76\) 0.688174 + 0.267681i 0.0789389 + 0.0307051i
\(77\) 6.16566 + 4.73108i 0.702643 + 0.539157i
\(78\) −5.12742 + 13.8243i −0.580566 + 1.56530i
\(79\) −1.89149 + 3.27615i −0.212809 + 0.368596i −0.952593 0.304249i \(-0.901595\pi\)
0.739784 + 0.672845i \(0.234928\pi\)
\(80\) −5.95149 + 1.04840i −0.665397 + 0.117215i
\(81\) −8.22896 3.64475i −0.914329 0.404972i
\(82\) 2.02572 2.70022i 0.223703 0.298190i
\(83\) −0.820020 0.107958i −0.0900089 0.0118499i 0.0853872 0.996348i \(-0.472787\pi\)
−0.175396 + 0.984498i \(0.556121\pi\)
\(84\) −1.78821 9.86634i −0.195109 1.07651i
\(85\) 1.32471 + 10.0622i 0.143685 + 1.09139i
\(86\) −2.54162 9.08918i −0.274070 0.980111i
\(87\) −6.45855 + 3.96209i −0.692429 + 0.424781i
\(88\) 6.69693 + 3.58064i 0.713895 + 0.381698i
\(89\) −4.98702 + 4.98702i −0.528623 + 0.528623i −0.920162 0.391539i \(-0.871943\pi\)
0.391539 + 0.920162i \(0.371943\pi\)
\(90\) −5.74512 2.84217i −0.605589 0.299591i
\(91\) −16.0974 6.66777i −1.68747 0.698972i
\(92\) −1.28093 2.11130i −0.133546 0.220118i
\(93\) −1.86898 + 4.87589i −0.193804 + 0.505606i
\(94\) 7.72449 + 9.84340i 0.796721 + 1.01527i
\(95\) 0.278891 + 0.483053i 0.0286136 + 0.0495602i
\(96\) −3.29332 9.22789i −0.336124 0.941818i
\(97\) 9.22126 15.9717i 0.936277 1.62168i 0.163937 0.986471i \(-0.447581\pi\)
0.772340 0.635209i \(-0.219086\pi\)
\(98\) 1.92997 0.275454i 0.194957 0.0278251i
\(99\) 3.47466 + 7.26672i 0.349217 + 0.730333i
\(100\) 4.76486 + 2.61460i 0.476486 + 0.261460i
\(101\) 13.6386 10.4653i 1.35710 1.04134i 0.363119 0.931743i \(-0.381712\pi\)
0.993977 0.109593i \(-0.0349548\pi\)
\(102\) −15.7233 + 4.85222i −1.55683 + 0.480441i
\(103\) 5.40564 + 1.44844i 0.532634 + 0.142719i 0.515104 0.857128i \(-0.327753\pi\)
0.0175296 + 0.999846i \(0.494420\pi\)
\(104\) −16.5804 3.86815i −1.62584 0.379304i
\(105\) 3.61096 6.65823i 0.352394 0.649776i
\(106\) 10.8050 11.0425i 1.04948 1.07254i
\(107\) 8.60194 + 3.56304i 0.831581 + 0.344452i 0.757528 0.652802i \(-0.226407\pi\)
0.0740527 + 0.997254i \(0.476407\pi\)
\(108\) 2.98143 9.95545i 0.286888 0.957964i
\(109\) 6.93523 + 16.7431i 0.664275 + 1.60370i 0.791037 + 0.611768i \(0.209541\pi\)
−0.126762 + 0.991933i \(0.540459\pi\)
\(110\) 2.25272 + 5.27566i 0.214789 + 0.503014i
\(111\) 1.44933 + 4.88419i 0.137564 + 0.463587i
\(112\) 11.0430 3.47984i 1.04346 0.328814i
\(113\) 2.16349 + 3.74728i 0.203524 + 0.352514i 0.949662 0.313278i \(-0.101427\pi\)
−0.746137 + 0.665792i \(0.768094\pi\)
\(114\) −0.696310 + 0.577068i −0.0652154 + 0.0540473i
\(115\) 0.243487 1.84947i 0.0227053 0.172464i
\(116\) −5.47575 6.82379i −0.508411 0.633573i
\(117\) −11.7412 13.7204i −1.08548 1.26845i
\(118\) −15.7162 4.02860i −1.44679 0.370863i
\(119\) −5.03269 18.7823i −0.461346 1.72177i
\(120\) 2.42237 6.99366i 0.221131 0.638431i
\(121\) −0.981254 + 3.66209i −0.0892049 + 0.332917i
\(122\) 2.98128 5.29581i 0.269912 0.479460i
\(123\) 1.68338 + 3.77602i 0.151785 + 0.340472i
\(124\) −5.85672 1.43364i −0.525949 0.128745i
\(125\) 4.46190 + 10.7720i 0.399085 + 0.963476i
\(126\) 11.6239 + 3.96209i 1.03554 + 0.352971i
\(127\) 8.32807i 0.738997i −0.929231 0.369498i \(-0.879529\pi\)
0.929231 0.369498i \(-0.120471\pi\)
\(128\) 10.0932 5.11141i 0.892125 0.451789i
\(129\) 11.2409 + 2.69296i 0.989704 + 0.237102i
\(130\) −7.93968 10.1176i −0.696356 0.887374i
\(131\) 1.19309 + 0.915491i 0.104241 + 0.0799868i 0.659567 0.751646i \(-0.270740\pi\)
−0.555326 + 0.831633i \(0.687406\pi\)
\(132\) −7.82031 + 5.03462i −0.680671 + 0.438208i
\(133\) −0.650569 0.847838i −0.0564115 0.0735169i
\(134\) 18.7146 11.0778i 1.61669 0.956972i
\(135\) 6.46316 4.45580i 0.556260 0.383494i
\(136\) −7.83951 17.3079i −0.672233 1.48414i
\(137\) −9.35926 + 2.50781i −0.799616 + 0.214256i −0.635415 0.772171i \(-0.719171\pi\)
−0.164201 + 0.986427i \(0.552504\pi\)
\(138\) 3.02236 0.113482i 0.257280 0.00966022i
\(139\) −10.9662 + 1.44372i −0.930139 + 0.122455i −0.580344 0.814371i \(-0.697082\pi\)
−0.349795 + 0.936826i \(0.613749\pi\)
\(140\) 8.15120 + 3.17060i 0.688902 + 0.267965i
\(141\) −15.1347 + 2.40459i −1.27457 + 0.202503i
\(142\) 0.642069 + 1.50366i 0.0538812 + 0.126185i
\(143\) 16.1617i 1.35151i
\(144\) 11.8370 + 1.97109i 0.986417 + 0.164258i
\(145\) 6.60905i 0.548852i
\(146\) 10.4873 4.47810i 0.867933 0.370610i
\(147\) −0.854592 + 2.22950i −0.0704855 + 0.183886i
\(148\) −5.38483 + 2.36885i −0.442630 + 0.194719i
\(149\) −10.2630 + 1.35115i −0.840780 + 0.110691i −0.538602 0.842561i \(-0.681047\pi\)
−0.302179 + 0.953251i \(0.597714\pi\)
\(150\) −5.63583 + 3.54225i −0.460163 + 0.289223i
\(151\) 1.45821 0.390726i 0.118668 0.0317969i −0.198997 0.980000i \(-0.563768\pi\)
0.317664 + 0.948203i \(0.397102\pi\)
\(152\) −0.762077 0.713940i −0.0618126 0.0579082i
\(153\) 4.17103 19.7167i 0.337208 1.59400i
\(154\) −5.59850 9.45801i −0.451140 0.762148i
\(155\) −2.77275 3.61351i −0.222712 0.290244i
\(156\) 14.0140 15.4406i 1.12202 1.23624i
\(157\) −5.10990 3.92096i −0.407814 0.312927i 0.384404 0.923165i \(-0.374407\pi\)
−0.792218 + 0.610238i \(0.791074\pi\)
\(158\) 4.20875 3.30276i 0.334830 0.262754i
\(159\) 5.38278 + 18.1398i 0.426882 + 1.43858i
\(160\) 8.36301 + 1.76035i 0.661154 + 0.139168i
\(161\) 3.57405i 0.281674i
\(162\) 8.87876 + 9.11963i 0.697581 + 0.716506i
\(163\) 5.12528 + 12.3735i 0.401443 + 0.969168i 0.987316 + 0.158766i \(0.0507515\pi\)
−0.585874 + 0.810403i \(0.699248\pi\)
\(164\) −4.08141 + 2.47620i −0.318704 + 0.193359i
\(165\) −6.98760 0.731017i −0.543984 0.0569096i
\(166\) 1.01928 + 0.573803i 0.0791113 + 0.0445357i
\(167\) 6.18025 23.0650i 0.478242 1.78482i −0.130493 0.991449i \(-0.541656\pi\)
0.608735 0.793374i \(-0.291677\pi\)
\(168\) −2.85244 + 13.8906i −0.220071 + 1.07168i
\(169\) −6.01336 22.4422i −0.462566 1.72632i
\(170\) 3.56391 13.9033i 0.273339 1.06634i
\(171\) −0.202896 1.08886i −0.0155158 0.0832671i
\(172\) −1.45415 + 13.2677i −0.110878 + 1.01165i
\(173\) −1.44523 + 10.9776i −0.109879 + 0.834615i 0.844403 + 0.535708i \(0.179955\pi\)
−0.954282 + 0.298907i \(0.903378\pi\)
\(174\) 10.5639 1.79629i 0.800845 0.136176i
\(175\) −3.93305 6.81224i −0.297311 0.514957i
\(176\) −6.90195 8.22817i −0.520254 0.620222i
\(177\) 13.6711 14.4202i 1.02758 1.08389i
\(178\) 9.17279 3.91681i 0.687530 0.293578i
\(179\) −5.35065 12.9176i −0.399927 0.965508i −0.987683 0.156470i \(-0.949988\pi\)
0.587756 0.809038i \(-0.300012\pi\)
\(180\) 6.04198 + 6.75745i 0.450343 + 0.503670i
\(181\) −12.7259 5.27125i −0.945910 0.391809i −0.144218 0.989546i \(-0.546067\pi\)
−0.801692 + 0.597737i \(0.796067\pi\)
\(182\) 17.6120 + 17.2334i 1.30549 + 1.27742i
\(183\) 3.89210 + 6.34445i 0.287712 + 0.468995i
\(184\) 0.568467 + 3.44580i 0.0419080 + 0.254028i
\(185\) −4.29243 1.15015i −0.315586 0.0845609i
\(186\) 5.02221 5.41407i 0.368247 0.396979i
\(187\) −14.3092 + 10.9799i −1.04639 + 0.802927i
\(188\) −4.95024 16.9887i −0.361033 1.23903i
\(189\) −11.1628 + 10.0803i −0.811972 + 0.733235i
\(190\) −0.111455 0.780909i −0.00808577 0.0566531i
\(191\) 0.945335 1.63737i 0.0684020 0.118476i −0.829796 0.558067i \(-0.811543\pi\)
0.898198 + 0.439591i \(0.144877\pi\)
\(192\) −0.540733 + 13.8459i −0.0390240 + 0.999238i
\(193\) −5.79542 10.0380i −0.417164 0.722549i 0.578489 0.815690i \(-0.303642\pi\)
−0.995653 + 0.0931413i \(0.970309\pi\)
\(194\) −20.5182 + 16.1014i −1.47312 + 1.15602i
\(195\) 15.5563 2.47157i 1.11401 0.176993i
\(196\) −2.67799 0.655533i −0.191285 0.0468238i
\(197\) −2.20122 0.911774i −0.156830 0.0649612i 0.302887 0.953026i \(-0.402049\pi\)
−0.459718 + 0.888065i \(0.652049\pi\)
\(198\) −0.730720 11.3676i −0.0519300 0.807863i
\(199\) −12.7954 + 12.7954i −0.907044 + 0.907044i −0.996033 0.0889888i \(-0.971636\pi\)
0.0889888 + 0.996033i \(0.471636\pi\)
\(200\) −4.87544 5.94223i −0.344746 0.420179i
\(201\) 0.710078 + 26.6256i 0.0500850 + 1.87803i
\(202\) −23.4138 + 6.54721i −1.64739 + 0.460660i
\(203\) 1.65279 + 12.5542i 0.116003 + 0.881133i
\(204\) 23.1916 + 1.91773i 1.62374 + 0.134268i
\(205\) −3.57526 0.470692i −0.249707 0.0328745i
\(206\) −6.33091 4.74947i −0.441095 0.330911i
\(207\) −1.67850 + 3.30211i −0.116664 + 0.229513i
\(208\) 19.7211 + 13.8137i 1.36741 + 0.957809i
\(209\) −0.495635 + 0.858464i −0.0342838 + 0.0593812i
\(210\) −8.24757 + 6.83518i −0.569136 + 0.471673i
\(211\) 14.1770 + 10.8784i 0.975985 + 0.748899i 0.967969 0.251069i \(-0.0807820\pi\)
0.00801522 + 0.999968i \(0.497449\pi\)
\(212\) −19.9992 + 8.79788i −1.37355 + 0.604241i
\(213\) −1.99160 0.208354i −0.136462 0.0142762i
\(214\) −9.41131 9.20895i −0.643344 0.629511i
\(215\) −7.12927 + 7.12927i −0.486212 + 0.486212i
\(216\) −9.15891 + 11.4941i −0.623185 + 0.782074i
\(217\) 6.17064 + 6.17064i 0.418890 + 0.418890i
\(218\) −0.278513 25.6278i −0.0188633 1.73573i
\(219\) −1.45316 + 13.8904i −0.0981955 + 0.938626i
\(220\) −0.176309 8.11070i −0.0118867 0.546824i
\(221\) 24.6164 32.0807i 1.65588 2.15798i
\(222\) 0.671751 7.17360i 0.0450850 0.481460i
\(223\) 8.05899 + 4.65286i 0.539670 + 0.311579i 0.744945 0.667126i \(-0.232476\pi\)
−0.205275 + 0.978704i \(0.565809\pi\)
\(224\) −16.3262 1.25244i −1.09084 0.0836823i
\(225\) −0.434534 8.14102i −0.0289689 0.542735i
\(226\) −0.864609 6.05789i −0.0575129 0.402965i
\(227\) −1.57212 + 11.9414i −0.104345 + 0.792579i 0.856627 + 0.515935i \(0.172556\pi\)
−0.960973 + 0.276644i \(0.910778\pi\)
\(228\) 1.21791 0.390393i 0.0806580 0.0258544i
\(229\) 18.3804 2.41983i 1.21461 0.159907i 0.504134 0.863625i \(-0.331812\pi\)
0.710479 + 0.703718i \(0.248478\pi\)
\(230\) −1.29415 + 2.29887i −0.0853337 + 0.151583i
\(231\) 13.4561 0.358860i 0.885347 0.0236113i
\(232\) 3.59029 + 11.8409i 0.235714 + 0.777390i
\(233\) 0.300490 + 0.300490i 0.0196857 + 0.0196857i 0.716881 0.697195i \(-0.245569\pi\)
−0.697195 + 0.716881i \(0.745569\pi\)
\(234\) 8.17863 + 24.1934i 0.534654 + 1.58157i
\(235\) 5.11526 12.3493i 0.333683 0.805581i
\(236\) 18.5024 + 13.5689i 1.20441 + 0.883259i
\(237\) 1.02813 + 6.47114i 0.0667842 + 0.420346i
\(238\) −3.29287 + 27.3013i −0.213445 + 1.76968i
\(239\) −4.28925 + 2.47640i −0.277448 + 0.160185i −0.632268 0.774750i \(-0.717876\pi\)
0.354819 + 0.934935i \(0.384542\pi\)
\(240\) −6.86446 + 7.90174i −0.443099 + 0.510055i
\(241\) −15.3413 8.85732i −0.988222 0.570550i −0.0834799 0.996509i \(-0.526603\pi\)
−0.904742 + 0.425959i \(0.859937\pi\)
\(242\) 3.21756 4.28892i 0.206833 0.275702i
\(243\) −15.0475 + 4.07092i −0.965298 + 0.261150i
\(244\) −6.70325 + 5.37902i −0.429131 + 0.344356i
\(245\) −1.26784 1.65228i −0.0809993 0.105560i
\(246\) −0.219375 5.84261i −0.0139868 0.372511i
\(247\) 0.575196 2.14666i 0.0365988 0.136589i
\(248\) 6.93069 + 4.96776i 0.440099 + 0.315453i
\(249\) −1.22111 + 0.749107i −0.0773845 + 0.0474727i
\(250\) −0.179186 16.4881i −0.0113327 1.04280i
\(251\) 8.48175 20.4768i 0.535363 1.29248i −0.392566 0.919724i \(-0.628412\pi\)
0.927929 0.372757i \(-0.121588\pi\)
\(252\) −13.1669 11.3251i −0.829440 0.713416i
\(253\) 3.06282 1.26866i 0.192558 0.0797600i
\(254\) −4.38861 + 10.9295i −0.275366 + 0.685777i
\(255\) 12.7569 + 12.0941i 0.798866 + 0.757363i
\(256\) −15.9396 + 1.38925i −0.996223 + 0.0868280i
\(257\) 5.85009 3.37755i 0.364919 0.210686i −0.306318 0.951929i \(-0.599097\pi\)
0.671236 + 0.741244i \(0.265764\pi\)
\(258\) −13.3331 9.45771i −0.830080 0.588811i
\(259\) 8.44131 + 1.11132i 0.524517 + 0.0690540i
\(260\) 5.08814 + 17.4620i 0.315553 + 1.08295i
\(261\) −4.36886 + 12.3752i −0.270425 + 0.766007i
\(262\) −1.08334 1.83018i −0.0669290 0.113069i
\(263\) −0.344402 + 0.0922822i −0.0212367 + 0.00569036i −0.269422 0.963022i \(-0.586833\pi\)
0.248185 + 0.968713i \(0.420166\pi\)
\(264\) 12.9162 2.48624i 0.794937 0.153017i
\(265\) −15.9420 4.27165i −0.979309 0.262405i
\(266\) 0.407004 + 1.45550i 0.0249550 + 0.0892425i
\(267\) −1.27102 + 12.1494i −0.0777851 + 0.743528i
\(268\) −30.3980 + 4.67614i −1.85685 + 0.285641i
\(269\) −1.23156 + 0.510127i −0.0750893 + 0.0311030i −0.419912 0.907565i \(-0.637939\pi\)
0.344823 + 0.938668i \(0.387939\pi\)
\(270\) −10.8301 + 2.44178i −0.659098 + 0.148602i
\(271\) 6.71395 0.407843 0.203922 0.978987i \(-0.434631\pi\)
0.203922 + 0.978987i \(0.434631\pi\)
\(272\) 1.16767 + 26.8454i 0.0708005 + 1.62774i
\(273\) −28.9319 + 8.58520i −1.75104 + 0.519600i
\(274\) 13.6043 + 1.64085i 0.821867 + 0.0991273i
\(275\) −4.44173 + 5.78857i −0.267846 + 0.349064i
\(276\) −4.02624 1.44375i −0.242351 0.0869035i
\(277\) 13.2460 10.1640i 0.795874 0.610696i −0.128706 0.991683i \(-0.541082\pi\)
0.924580 + 0.380987i \(0.124416\pi\)
\(278\) 15.1524 + 3.88410i 0.908783 + 0.232953i
\(279\) 2.80319 + 8.59909i 0.167823 + 0.514814i
\(280\) −9.02657 8.45639i −0.539440 0.505366i
\(281\) −0.259775 0.969494i −0.0154969 0.0578351i 0.957744 0.287621i \(-0.0928642\pi\)
−0.973241 + 0.229785i \(0.926198\pi\)
\(282\) 21.1294 + 4.81976i 1.25824 + 0.287012i
\(283\) 1.71165 + 13.0012i 0.101747 + 0.772844i 0.963913 + 0.266218i \(0.0857741\pi\)
−0.862166 + 0.506626i \(0.830893\pi\)
\(284\) −0.0502514 2.31171i −0.00298187 0.137175i
\(285\) 0.902105 + 0.345786i 0.0534361 + 0.0204826i
\(286\) 8.51665 21.2100i 0.503600 1.25418i
\(287\) 6.90909 0.407831
\(288\) −14.4958 8.82449i −0.854173 0.519988i
\(289\) 28.1275 1.65456
\(290\) −3.48274 + 8.67350i −0.204514 + 0.509325i
\(291\) −5.01228 31.5477i −0.293825 1.84936i
\(292\) −16.1230 + 0.350478i −0.943525 + 0.0205102i
\(293\) −3.29546 25.0315i −0.192523 1.46236i −0.765845 0.643025i \(-0.777679\pi\)
0.573322 0.819330i \(-0.305654\pi\)
\(294\) 2.29641 2.47559i 0.133929 0.144379i
\(295\) 4.48589 + 16.7416i 0.261179 + 0.974732i
\(296\) 8.31518 0.271184i 0.483310 0.0157622i
\(297\) 12.6008 + 5.98790i 0.731174 + 0.347453i
\(298\) 14.1809 + 3.63506i 0.821476 + 0.210573i
\(299\) −5.89658 + 4.52460i −0.341008 + 0.261665i
\(300\) 9.26291 1.67884i 0.534795 0.0969278i
\(301\) 11.7595 15.3253i 0.677806 0.883335i
\(302\) −2.11961 0.255651i −0.121970 0.0147110i
\(303\) 6.93707 28.9565i 0.398524 1.66351i
\(304\) 0.623903 + 1.33854i 0.0357833 + 0.0767705i
\(305\) −6.49229 −0.371748
\(306\) −15.8640 + 23.6776i −0.906883 + 1.35356i
\(307\) 18.4151 7.62778i 1.05101 0.435341i 0.210755 0.977539i \(-0.432408\pi\)
0.840251 + 0.542198i \(0.182408\pi\)
\(308\) 2.36324 + 15.3626i 0.134658 + 0.875365i
\(309\) 8.85322 3.94683i 0.503642 0.224527i
\(310\) 1.73466 + 6.20340i 0.0985222 + 0.352329i
\(311\) −12.5177 3.35412i −0.709815 0.190194i −0.114192 0.993459i \(-0.536428\pi\)
−0.595623 + 0.803264i \(0.703095\pi\)
\(312\) −26.5282 + 12.8789i −1.50186 + 0.729123i
\(313\) −0.820365 + 0.219816i −0.0463698 + 0.0124247i −0.281929 0.959435i \(-0.590974\pi\)
0.235560 + 0.971860i \(0.424308\pi\)
\(314\) 4.63985 + 7.83849i 0.261842 + 0.442351i
\(315\) −2.40323 12.8972i −0.135407 0.726675i
\(316\) −7.26386 + 2.11657i −0.408624 + 0.119067i
\(317\) 2.77277 + 0.365042i 0.155734 + 0.0205028i 0.207990 0.978131i \(-0.433308\pi\)
−0.0522559 + 0.998634i \(0.516641\pi\)
\(318\) 2.49487 26.6426i 0.139905 1.49404i
\(319\) 10.1718 5.87268i 0.569510 0.328807i
\(320\) −10.0477 6.71724i −0.561683 0.375505i
\(321\) 15.4603 4.58765i 0.862907 0.256058i
\(322\) 1.88340 4.69046i 0.104958 0.261389i
\(323\) 2.29139 0.949123i 0.127496 0.0528106i
\(324\) −6.84646 16.6471i −0.380359 0.924839i
\(325\) 6.25997 15.1129i 0.347241 0.838313i
\(326\) −0.205826 18.9394i −0.0113997 1.04896i
\(327\) 27.5927 + 14.9644i 1.52588 + 0.827532i
\(328\) 6.66118 1.09892i 0.367802 0.0606777i
\(329\) −6.62836 + 24.7374i −0.365433 + 1.36382i
\(330\) 8.78508 + 4.64159i 0.483603 + 0.255511i
\(331\) −10.2094 13.3052i −0.561160 0.731318i 0.423482 0.905905i \(-0.360808\pi\)
−0.984642 + 0.174587i \(0.944141\pi\)
\(332\) −1.03529 1.29016i −0.0568190 0.0708069i
\(333\) 7.27713 + 4.99110i 0.398784 + 0.273510i
\(334\) −20.2652 + 27.0130i −1.10886 + 1.47808i
\(335\) −20.1199 11.6162i −1.09927 0.634663i
\(336\) 11.0633 16.7264i 0.603553 0.912500i
\(337\) 19.1018 11.0284i 1.04054 0.600755i 0.120553 0.992707i \(-0.461533\pi\)
0.919986 + 0.391952i \(0.128200\pi\)
\(338\) −3.93452 + 32.6212i −0.214009 + 1.77436i
\(339\) 6.99807 + 2.68243i 0.380083 + 0.145690i
\(340\) −12.0037 + 16.3682i −0.650993 + 0.887690i
\(341\) 3.09763 7.47835i 0.167746 0.404975i
\(342\) −0.307518 + 1.53590i −0.0166287 + 0.0830521i
\(343\) −11.5059 11.5059i −0.621258 0.621258i
\(344\) 8.89999 16.6458i 0.479856 0.897480i
\(345\) −1.68953 2.75408i −0.0909612 0.148274i
\(346\) 7.68152 13.6451i 0.412961 0.733566i
\(347\) −1.18577 + 0.156110i −0.0636556 + 0.00838042i −0.162287 0.986744i \(-0.551887\pi\)
0.0986311 + 0.995124i \(0.468554\pi\)
\(348\) −14.8103 3.20941i −0.793913 0.172043i
\(349\) −4.01337 + 30.4846i −0.214831 + 1.63180i 0.455850 + 0.890056i \(0.349335\pi\)
−0.670681 + 0.741746i \(0.733998\pi\)
\(350\) 1.57179 + 11.0127i 0.0840155 + 0.588656i
\(351\) −30.7625 5.65542i −1.64198 0.301864i
\(352\) 4.72192 + 14.4355i 0.251679 + 0.769413i
\(353\) −20.2790 11.7081i −1.07934 0.623159i −0.148624 0.988894i \(-0.547484\pi\)
−0.930719 + 0.365735i \(0.880818\pi\)
\(354\) −25.5404 + 11.7204i −1.35746 + 0.622935i
\(355\) 1.06330 1.38571i 0.0564339 0.0735461i
\(356\) −14.1021 + 0.306548i −0.747409 + 0.0162470i
\(357\) −27.2568 19.7831i −1.44258 1.04703i
\(358\) 0.214877 + 19.7723i 0.0113566 + 1.04500i
\(359\) −7.96377 7.96377i −0.420312 0.420312i 0.464999 0.885311i \(-0.346055\pi\)
−0.885311 + 0.464999i \(0.846055\pi\)
\(360\) −4.36836 12.0522i −0.230233 0.635205i
\(361\) −13.3386 + 13.3386i −0.702034 + 0.702034i
\(362\) 13.9233 + 13.6239i 0.731793 + 0.716058i
\(363\) 2.67380 + 5.99767i 0.140338 + 0.314796i
\(364\) −14.0321 31.8974i −0.735480 1.67188i
\(365\) −9.66465 7.41594i −0.505871 0.388168i
\(366\) −1.76455 10.3773i −0.0922347 0.542428i
\(367\) 6.43555 11.1467i 0.335933 0.581853i −0.647731 0.761870i \(-0.724282\pi\)
0.983664 + 0.180016i \(0.0576151\pi\)
\(368\) 1.06978 4.82172i 0.0557662 0.251349i
\(369\) 6.38340 + 3.24475i 0.332307 + 0.168915i
\(370\) 5.02715 + 3.77138i 0.261349 + 0.196065i
\(371\) 31.3509 + 4.12742i 1.62766 + 0.214285i
\(372\) −9.44402 + 4.45871i −0.489649 + 0.231173i
\(373\) 0.540152 + 4.10286i 0.0279680 + 0.212438i 0.999723 0.0235559i \(-0.00749878\pi\)
−0.971755 + 0.235994i \(0.924165\pi\)
\(374\) 24.5650 6.86913i 1.27022 0.355194i
\(375\) 17.7523 + 9.62759i 0.916722 + 0.497167i
\(376\) −2.45593 + 24.9040i −0.126655 + 1.28433i
\(377\) −18.6200 + 18.6200i −0.958978 + 0.958978i
\(378\) 19.9616 7.34667i 1.02672 0.377872i
\(379\) −33.8399 14.0169i −1.73824 0.720001i −0.998911 0.0466541i \(-0.985144\pi\)
−0.739326 0.673347i \(-0.764856\pi\)
\(380\) −0.265243 + 1.08357i −0.0136067 + 0.0555861i
\(381\) −9.08313 11.2057i −0.465343 0.574084i
\(382\) −2.10346 + 1.65067i −0.107623 + 0.0844556i
\(383\) 11.3036 + 19.5784i 0.577587 + 1.00041i 0.995755 + 0.0920401i \(0.0293388\pi\)
−0.418169 + 0.908369i \(0.637328\pi\)
\(384\) 8.00593 17.8859i 0.408551 0.912736i
\(385\) −5.87063 + 10.1682i −0.299195 + 0.518221i
\(386\) 2.31606 + 16.2275i 0.117884 + 0.825957i
\(387\) 18.0621 8.63657i 0.918146 0.439022i
\(388\) 35.4123 10.3186i 1.79779 0.523847i
\(389\) −24.3441 + 18.6799i −1.23429 + 0.947107i −0.999688 0.0249836i \(-0.992047\pi\)
−0.234606 + 0.972091i \(0.575380\pi\)
\(390\) −21.7180 4.95403i −1.09973 0.250857i
\(391\) −8.01199 2.14681i −0.405184 0.108569i
\(392\) 3.16906 + 2.27151i 0.160062 + 0.114729i
\(393\) 2.60383 0.0694415i 0.131346 0.00350286i
\(394\) 2.40833 + 2.35655i 0.121330 + 0.118721i
\(395\) −5.28020 2.18713i −0.265676 0.110047i
\(396\) −5.03138 + 15.3036i −0.252836 + 0.769034i
\(397\) 0.613871 + 1.48201i 0.0308093 + 0.0743802i 0.938535 0.345183i \(-0.112183\pi\)
−0.907726 + 0.419563i \(0.862183\pi\)
\(398\) 23.5351 10.0495i 1.17971 0.503738i
\(399\) −1.80007 0.431239i −0.0901160 0.0215889i
\(400\) 3.26701 + 10.3676i 0.163351 + 0.518379i
\(401\) 11.8405 + 20.5083i 0.591285 + 1.02413i 0.994060 + 0.108836i \(0.0347123\pi\)
−0.402775 + 0.915299i \(0.631954\pi\)
\(402\) 13.0989 35.3168i 0.653314 1.76144i
\(403\) −2.36873 + 17.9923i −0.117995 + 0.896261i
\(404\) 34.1776 + 3.74590i 1.70040 + 0.186365i
\(405\) 3.83659 13.0445i 0.190642 0.648189i
\(406\) 4.44657 17.3467i 0.220679 0.860902i
\(407\) −2.04401 7.62835i −0.101318 0.378123i
\(408\) −29.4254 14.7380i −1.45677 0.729638i
\(409\) 4.56941 17.0533i 0.225943 0.843230i −0.756082 0.654477i \(-0.772889\pi\)
0.982025 0.188753i \(-0.0604445\pi\)
\(410\) 4.44401 + 2.50176i 0.219474 + 0.123553i
\(411\) −9.85799 + 13.5821i −0.486259 + 0.669958i
\(412\) 5.80567 + 9.56922i 0.286025 + 0.471442i
\(413\) −12.7079 30.6796i −0.625315 1.50964i
\(414\) 3.94290 3.44907i 0.193783 0.169513i
\(415\) 1.24956i 0.0613386i
\(416\) −18.6020 28.5210i −0.912038 1.39836i
\(417\) −13.1807 + 13.9030i −0.645462 + 0.680833i
\(418\) 1.10284 0.865438i 0.0539415 0.0423299i
\(419\) 5.25357 + 4.03121i 0.256654 + 0.196937i 0.729072 0.684437i \(-0.239952\pi\)
−0.472418 + 0.881375i \(0.656619\pi\)
\(420\) 14.4257 4.62409i 0.703904 0.225632i
\(421\) 4.80144 + 6.25736i 0.234008 + 0.304965i 0.895566 0.444929i \(-0.146771\pi\)
−0.661558 + 0.749894i \(0.730104\pi\)
\(422\) −12.8729 21.7472i −0.626642 1.05864i
\(423\) −17.7416 + 19.7423i −0.862624 + 0.959903i
\(424\) 30.8824 1.00717i 1.49978 0.0489126i
\(425\) 17.6335 4.72489i 0.855353 0.229191i
\(426\) 2.50392 + 1.32294i 0.121315 + 0.0640967i
\(427\) 12.3324 1.62359i 0.596808 0.0785713i
\(428\) 7.49829 + 17.0450i 0.362443 + 0.823899i
\(429\) 17.6270 + 21.7460i 0.851038 + 1.04991i
\(430\) 13.1131 5.59933i 0.632370 0.270024i
\(431\) 10.7560i 0.518098i −0.965864 0.259049i \(-0.916591\pi\)
0.965864 0.259049i \(-0.0834091\pi\)
\(432\) 18.0769 10.2580i 0.869723 0.493540i
\(433\) 16.4622i 0.791122i −0.918440 0.395561i \(-0.870550\pi\)
0.918440 0.395561i \(-0.129450\pi\)
\(434\) −4.84643 11.3499i −0.232636 0.544810i
\(435\) −7.20825 8.89267i −0.345609 0.426371i
\(436\) −13.1394 + 33.7798i −0.629265 + 1.61776i
\(437\) −0.451967 + 0.0595026i −0.0216205 + 0.00284640i
\(438\) 9.22684 17.4635i 0.440875 0.834439i
\(439\) 38.2364 10.2454i 1.82492 0.488987i 0.827548 0.561395i \(-0.189735\pi\)
0.997375 + 0.0724081i \(0.0230684\pi\)
\(440\) −4.04268 + 10.7371i −0.192727 + 0.511873i
\(441\) 1.28176 + 3.93194i 0.0610363 + 0.187235i
\(442\) −49.2112 + 29.1297i −2.34074 + 1.38556i
\(443\) 4.24156 + 5.52771i 0.201523 + 0.262629i 0.883172 0.469050i \(-0.155404\pi\)
−0.681649 + 0.731679i \(0.738737\pi\)
\(444\) −4.66183 + 9.06040i −0.221240 + 0.429988i
\(445\) −8.45327 6.48642i −0.400723 0.307486i
\(446\) −8.12445 10.3531i −0.384704 0.490232i
\(447\) −12.3356 + 13.0115i −0.583452 + 0.615425i
\(448\) 20.7659 + 10.2470i 0.981099 + 0.484125i
\(449\) 16.3082i 0.769630i 0.922994 + 0.384815i \(0.125735\pi\)
−0.922994 + 0.384815i \(0.874265\pi\)
\(450\) −3.71977 + 10.9130i −0.175352 + 0.514443i
\(451\) −2.45248 5.92081i −0.115483 0.278800i
\(452\) −2.05762 + 8.40580i −0.0967822 + 0.395375i
\(453\) 1.53592 2.11615i 0.0721636 0.0994255i
\(454\) 8.35591 14.8431i 0.392162 0.696619i
\(455\) 6.81301 25.4265i 0.319399 1.19201i
\(456\) −1.80407 0.129457i −0.0844832 0.00606237i
\(457\) 8.15093 + 30.4197i 0.381284 + 1.42297i 0.843942 + 0.536435i \(0.180229\pi\)
−0.462657 + 0.886537i \(0.653104\pi\)
\(458\) −25.3970 6.51015i −1.18673 0.304199i
\(459\) −15.8921 31.0787i −0.741780 1.45063i
\(460\) 2.90983 2.33499i 0.135671 0.108869i
\(461\) 0.241886 1.83731i 0.0112657 0.0855718i −0.984888 0.173191i \(-0.944592\pi\)
0.996154 + 0.0876187i \(0.0279257\pi\)
\(462\) −17.8485 6.61995i −0.830385 0.307988i
\(463\) 8.53857 + 14.7892i 0.396821 + 0.687314i 0.993332 0.115291i \(-0.0367800\pi\)
−0.596511 + 0.802605i \(0.703447\pi\)
\(464\) 1.52795 17.4315i 0.0709332 0.809237i
\(465\) −7.67195 1.83795i −0.355778 0.0852331i
\(466\) −0.236005 0.552700i −0.0109327 0.0256033i
\(467\) 5.81612 + 14.0414i 0.269138 + 0.649757i 0.999443 0.0333642i \(-0.0106221\pi\)
−0.730305 + 0.683121i \(0.760622\pi\)
\(468\) 2.01571 36.0604i 0.0931763 1.66689i
\(469\) 41.1238 + 17.0340i 1.89892 + 0.786558i
\(470\) −13.2208 + 13.5113i −0.609828 + 0.623229i
\(471\) −11.1520 + 0.297412i −0.513856 + 0.0137040i
\(472\) −17.1316 27.5575i −0.788548 1.26844i
\(473\) −17.3074 4.63750i −0.795794 0.213232i
\(474\) 2.06078 9.03430i 0.0946550 0.414959i
\(475\) 0.795984 0.610780i 0.0365223 0.0280245i
\(476\) 18.7083 34.0941i 0.857494 1.56270i
\(477\) 27.0271 + 18.5368i 1.23749 + 0.848744i
\(478\) 6.93405 0.989657i 0.317156 0.0452659i
\(479\) −10.6471 + 18.4413i −0.486478 + 0.842605i −0.999879 0.0155436i \(-0.995052\pi\)
0.513401 + 0.858149i \(0.328385\pi\)
\(480\) 13.1726 6.75264i 0.601246 0.308214i
\(481\) 8.85288 + 15.3336i 0.403656 + 0.699153i
\(482\) 15.4660 + 19.7084i 0.704455 + 0.897694i
\(483\) 3.89808 + 4.80899i 0.177369 + 0.218816i
\(484\) −6.48273 + 3.93309i −0.294670 + 0.178777i
\(485\) 25.7417 + 10.6626i 1.16887 + 0.484162i
\(486\) 21.8931 + 2.58698i 0.993091 + 0.117348i
\(487\) 7.52400 7.52400i 0.340945 0.340945i −0.515778 0.856723i \(-0.672497\pi\)
0.856723 + 0.515778i \(0.172497\pi\)
\(488\) 11.6317 3.52686i 0.526541 0.159654i
\(489\) 20.3916 + 11.0590i 0.922139 + 0.500104i
\(490\) 0.793176 + 2.83651i 0.0358320 + 0.128140i
\(491\) −3.26915 24.8317i −0.147535 1.12064i −0.891695 0.452637i \(-0.850483\pi\)
0.744160 0.668001i \(-0.232850\pi\)
\(492\) −2.79095 + 7.78325i −0.125826 + 0.350896i
\(493\) −29.1357 3.83579i −1.31221 0.172755i
\(494\) −1.88608 + 2.51410i −0.0848589 + 0.113115i
\(495\) −10.1993 + 6.63752i −0.458425 + 0.298335i
\(496\) −6.47777 10.1718i −0.290860 0.456725i
\(497\) −1.67324 + 2.89814i −0.0750552 + 0.129999i
\(498\) 1.99729 0.339621i 0.0895009 0.0152188i
\(499\) −27.8158 21.3438i −1.24521 0.955479i −0.245303 0.969447i \(-0.578887\pi\)
−0.999902 + 0.0139671i \(0.995554\pi\)
\(500\) −8.45349 + 21.7328i −0.378052 + 0.971922i
\(501\) −16.8405 37.7752i −0.752377 1.68767i
\(502\) −21.9217 + 22.4034i −0.978414 + 0.999914i
\(503\) −25.7127 + 25.7127i −1.14647 + 1.14647i −0.159233 + 0.987241i \(0.550902\pi\)
−0.987241 + 0.159233i \(0.949098\pi\)
\(504\) 11.3119 + 21.8012i 0.503873 + 0.971105i
\(505\) 18.3650 + 18.3650i 0.817232 + 0.817232i
\(506\) −4.68808 + 0.0509482i −0.208410 + 0.00226492i
\(507\) −32.5680 23.6380i −1.44640 1.04980i
\(508\) 11.5189 12.0309i 0.511070 0.533783i
\(509\) 17.7383 23.1170i 0.786235 1.02464i −0.212635 0.977132i \(-0.568205\pi\)
0.998871 0.0475101i \(-0.0151286\pi\)
\(510\) −10.3685 22.5944i −0.459125 1.00049i
\(511\) 20.2131 + 11.6700i 0.894173 + 0.516251i
\(512\) 21.6507 + 6.57641i 0.956833 + 0.290639i
\(513\) −1.46058 1.24380i −0.0644863 0.0549152i
\(514\) −9.45732 + 1.34979i −0.417144 + 0.0595367i
\(515\) −1.10358 + 8.38251i −0.0486295 + 0.369378i
\(516\) 12.5140 + 19.4381i 0.550897 + 0.855713i
\(517\) 23.5518 3.10065i 1.03581 0.136366i
\(518\) −10.4925 5.90674i −0.461013 0.259527i
\(519\) 10.0283 + 16.3470i 0.440195 + 0.717554i
\(520\) 2.52435 25.5978i 0.110700 1.12254i
\(521\) −21.3132 21.3132i −0.933748 0.933748i 0.0641895 0.997938i \(-0.479554\pi\)
−0.997938 + 0.0641895i \(0.979554\pi\)
\(522\) 12.2549 13.9386i 0.536381 0.610076i
\(523\) 7.46445 18.0208i 0.326398 0.787994i −0.672456 0.740137i \(-0.734761\pi\)
0.998854 0.0478571i \(-0.0152392\pi\)
\(524\) 0.457300 + 2.97275i 0.0199772 + 0.129865i
\(525\) −12.7219 4.87644i −0.555229 0.212825i
\(526\) 0.500611 + 0.0603798i 0.0218277 + 0.00263269i
\(527\) −17.5393 + 10.1263i −0.764024 + 0.441109i
\(528\) −18.2609 3.54354i −0.794706 0.154213i
\(529\) −18.5983 10.7377i −0.808620 0.466857i
\(530\) 18.6707 + 14.0069i 0.811005 + 0.608419i
\(531\) 2.66719 34.3134i 0.115746 1.48907i
\(532\) 0.232862 2.12463i 0.0100958 0.0921144i
\(533\) 8.74664 + 11.3988i 0.378859 + 0.493738i
\(534\) 8.07034 15.2746i 0.349238 0.660998i
\(535\) −3.64065 + 13.5871i −0.157399 + 0.587422i
\(536\) 42.3575 + 9.88189i 1.82956 + 0.426833i
\(537\) −21.2883 11.5453i −0.918656 0.498216i
\(538\) 1.88507 0.0204862i 0.0812712 0.000883224i
\(539\) 1.41639 3.41948i 0.0610084 0.147287i
\(540\) 15.4998 + 2.50257i 0.667004 + 0.107694i
\(541\) −18.4185 + 7.62921i −0.791875 + 0.328005i −0.741697 0.670735i \(-0.765979\pi\)
−0.0501777 + 0.998740i \(0.515979\pi\)
\(542\) −8.81116 3.53802i −0.378472 0.151971i
\(543\) −22.8723 + 6.78708i −0.981543 + 0.291262i
\(544\) 12.6142 35.8464i 0.540829 1.53690i
\(545\) −23.7112 + 13.6897i −1.01568 + 0.586401i
\(546\) 42.4933 + 3.97917i 1.81855 + 0.170293i
\(547\) −27.2337 3.58538i −1.16443 0.153300i −0.476564 0.879140i \(-0.658118\pi\)
−0.687864 + 0.725840i \(0.741451\pi\)
\(548\) −16.9892 9.32240i −0.725742 0.398233i
\(549\) 12.1566 + 4.29168i 0.518831 + 0.183164i
\(550\) 8.87955 5.25609i 0.378625 0.224121i
\(551\) −1.56007 + 0.418019i −0.0664611 + 0.0178082i
\(552\) 4.52310 + 4.01642i 0.192516 + 0.170950i
\(553\) 10.5770 + 2.83409i 0.449778 + 0.120518i
\(554\) −22.7397 + 6.35872i −0.966116 + 0.270156i
\(555\) −7.03002 + 3.13403i −0.298408 + 0.133032i
\(556\) −17.8388 13.0822i −0.756533 0.554808i
\(557\) 14.5523 6.02776i 0.616600 0.255404i −0.0524474 0.998624i \(-0.516702\pi\)
0.669048 + 0.743219i \(0.266702\pi\)
\(558\) 0.852606 12.7623i 0.0360937 0.540273i
\(559\) 40.1712 1.69906
\(560\) 7.38994 + 15.8546i 0.312282 + 0.669978i
\(561\) −7.27816 + 30.3803i −0.307284 + 1.28266i
\(562\) −0.169970 + 1.40922i −0.00716974 + 0.0594445i
\(563\) −3.28829 + 4.28538i −0.138585 + 0.180607i −0.857490 0.514501i \(-0.827977\pi\)
0.718905 + 0.695109i \(0.244644\pi\)
\(564\) −25.1897 17.4598i −1.06068 0.735188i
\(565\) −5.18626 + 3.97956i −0.218187 + 0.167421i
\(566\) 4.60490 17.9644i 0.193558 0.755099i
\(567\) −4.02560 + 25.7382i −0.169060 + 1.08090i
\(568\) −1.15224 + 3.06029i −0.0483470 + 0.128407i
\(569\) −7.19831 26.8644i −0.301769 1.12622i −0.935691 0.352820i \(-0.885223\pi\)
0.633923 0.773396i \(-0.281444\pi\)
\(570\) −1.00168 0.929176i −0.0419556 0.0389189i
\(571\) 1.49888 + 11.3851i 0.0627262 + 0.476453i 0.993762 + 0.111524i \(0.0355732\pi\)
−0.931036 + 0.364928i \(0.881093\pi\)
\(572\) −22.3539 + 23.3474i −0.934665 + 0.976203i
\(573\) −0.513843 3.23417i −0.0214661 0.135109i
\(574\) −9.06726 3.64085i −0.378460 0.151966i
\(575\) −3.35546 −0.139932
\(576\) 14.3736 + 19.2198i 0.598900 + 0.800824i
\(577\) −46.3559 −1.92982 −0.964912 0.262575i \(-0.915428\pi\)
−0.964912 + 0.262575i \(0.915428\pi\)
\(578\) −36.9136 14.8222i −1.53540 0.616523i
\(579\) −18.7460 7.18552i −0.779056 0.298620i
\(580\) 9.14127 9.54752i 0.379571 0.396439i
\(581\) 0.312491 + 2.37360i 0.0129643 + 0.0984737i
\(582\) −10.0466 + 44.0435i −0.416445 + 1.82566i
\(583\) −7.59141 28.3315i −0.314404 1.17337i
\(584\) 21.3439 + 8.03629i 0.883218 + 0.332544i
\(585\) 18.2358 20.2923i 0.753958 0.838983i
\(586\) −8.86589 + 34.5871i −0.366246 + 1.42878i
\(587\) −14.5445 + 11.1604i −0.600315 + 0.460638i −0.863668 0.504062i \(-0.831838\pi\)
0.263352 + 0.964700i \(0.415172\pi\)
\(588\) −4.31828 + 2.03875i −0.178083 + 0.0840766i
\(589\) −0.677596 + 0.883060i −0.0279198 + 0.0363858i
\(590\) 2.93510 24.3350i 0.120836 1.00186i
\(591\) −3.95624 + 1.17397i −0.162738 + 0.0482907i
\(592\) −11.0555 4.02592i −0.454377 0.165464i
\(593\) 27.7849 1.14099 0.570494 0.821302i \(-0.306752\pi\)
0.570494 + 0.821302i \(0.306752\pi\)
\(594\) −13.3815 14.4985i −0.549049 0.594882i
\(595\) 27.1407 11.2421i 1.11266 0.460879i
\(596\) −16.6950 12.2434i −0.683852 0.501508i
\(597\) −3.26111 + 31.1722i −0.133468 + 1.27579i
\(598\) 10.1228 2.83064i 0.413951 0.115754i
\(599\) 42.3837 + 11.3567i 1.73175 + 0.464021i 0.980585 0.196093i \(-0.0628254\pi\)
0.751165 + 0.660114i \(0.229492\pi\)
\(600\) −13.0410 2.67799i −0.532398 0.109328i
\(601\) −5.48542 + 1.46981i −0.223755 + 0.0599549i −0.368955 0.929447i \(-0.620284\pi\)
0.145200 + 0.989402i \(0.453618\pi\)
\(602\) −23.5087 + 13.9155i −0.958142 + 0.567155i
\(603\) 29.9951 + 35.0511i 1.22149 + 1.42739i
\(604\) 2.64698 + 1.45247i 0.107704 + 0.0591001i
\(605\) −5.67879 0.747626i −0.230875 0.0303953i
\(606\) −24.3631 + 34.3460i −0.989683 + 1.39521i
\(607\) 27.8576 16.0836i 1.13070 0.652812i 0.186592 0.982438i \(-0.440256\pi\)
0.944112 + 0.329626i \(0.106923\pi\)
\(608\) −0.113425 2.08543i −0.00460001 0.0845754i
\(609\) 15.9163 + 15.0894i 0.644962 + 0.611454i
\(610\) 8.52027 + 3.42122i 0.344976 + 0.138521i
\(611\) −49.2038 + 20.3809i −1.99057 + 0.824522i
\(612\) 33.2966 22.7139i 1.34594 0.918156i
\(613\) 5.12670 12.3769i 0.207065 0.499900i −0.785893 0.618362i \(-0.787796\pi\)
0.992959 + 0.118462i \(0.0377964\pi\)
\(614\) −28.1869 + 0.306325i −1.13753 + 0.0123623i
\(615\) −5.32398 + 3.26608i −0.214684 + 0.131701i
\(616\) 4.99413 21.4067i 0.201219 0.862501i
\(617\) 3.09919 11.5664i 0.124769 0.465644i −0.875062 0.484010i \(-0.839180\pi\)
0.999831 + 0.0183662i \(0.00584648\pi\)
\(618\) −13.6985 + 0.514344i −0.551035 + 0.0206900i
\(619\) 6.66924 + 8.69152i 0.268059 + 0.349342i 0.907916 0.419153i \(-0.137673\pi\)
−0.639856 + 0.768494i \(0.721006\pi\)
\(620\) 0.992464 9.05524i 0.0398583 0.363667i
\(621\) 1.34303 + 6.27377i 0.0538939 + 0.251758i
\(622\) 14.6604 + 10.9982i 0.587827 + 0.440990i
\(623\) 17.6795 + 10.2073i 0.708315 + 0.408946i
\(624\) 41.6015 2.92236i 1.66539 0.116988i
\(625\) −3.48775 + 2.01365i −0.139510 + 0.0805462i
\(626\) 1.19246 + 0.143825i 0.0476601 + 0.00574840i
\(627\) 0.269405 + 1.69566i 0.0107590 + 0.0677182i
\(628\) −1.95857 12.7320i −0.0781556 0.508063i
\(629\) −7.56167 + 18.2555i −0.301503 + 0.727893i
\(630\) −3.64245 + 18.1923i −0.145119 + 0.724797i
\(631\) 1.47868 + 1.47868i 0.0588652 + 0.0588652i 0.735927 0.677061i \(-0.236747\pi\)
−0.677061 + 0.735927i \(0.736747\pi\)
\(632\) 10.6482 + 1.05008i 0.423563 + 0.0417701i
\(633\) 30.9402 0.825144i 1.22976 0.0327965i
\(634\) −3.44652 1.94022i −0.136879 0.0770561i
\(635\) 12.4743 1.64227i 0.495026 0.0651714i
\(636\) −17.3139 + 33.6502i −0.686542 + 1.33432i
\(637\) −1.08310 + 8.22699i −0.0429141 + 0.325965i
\(638\) −16.4438 + 2.34693i −0.651017 + 0.0929159i
\(639\) −2.90700 + 1.89182i −0.114999 + 0.0748393i
\(640\) 9.64651 + 14.1103i 0.381312 + 0.557758i
\(641\) −6.23393 3.59916i −0.246226 0.142158i 0.371809 0.928309i \(-0.378738\pi\)
−0.618035 + 0.786151i \(0.712071\pi\)
\(642\) −22.7071 2.12634i −0.896176 0.0839199i
\(643\) −19.9523 + 26.0024i −0.786842 + 1.02543i 0.211997 + 0.977270i \(0.432003\pi\)
−0.998840 + 0.0481624i \(0.984663\pi\)
\(644\) −4.94342 + 5.16312i −0.194798 + 0.203455i
\(645\) −1.81700 + 17.3683i −0.0715445 + 0.683875i
\(646\) −3.50729 + 0.0381159i −0.137993 + 0.00149965i
\(647\) −0.529459 0.529459i −0.0208152 0.0208152i 0.696623 0.717438i \(-0.254685\pi\)
−0.717438 + 0.696623i \(0.754685\pi\)
\(648\) 0.212615 + 25.4550i 0.00835231 + 0.999965i
\(649\) −21.7803 + 21.7803i −0.854953 + 0.854953i
\(650\) −16.1794 + 16.5349i −0.634607 + 0.648552i
\(651\) 15.0329 + 1.57268i 0.589185 + 0.0616383i
\(652\) −9.71032 + 24.9640i −0.380285 + 0.977664i
\(653\) 4.40157 + 3.37745i 0.172247 + 0.132170i 0.691287 0.722580i \(-0.257044\pi\)
−0.519040 + 0.854750i \(0.673711\pi\)
\(654\) −28.3260 34.1792i −1.10764 1.33651i
\(655\) −1.13600 + 1.96761i −0.0443873 + 0.0768810i
\(656\) −9.32100 2.06802i −0.363924 0.0807428i
\(657\) 13.1945 + 20.2748i 0.514766 + 0.790997i
\(658\) 21.7346 28.9716i 0.847302 1.12943i
\(659\) −22.0134 2.89813i −0.857522 0.112895i −0.311072 0.950386i \(-0.600688\pi\)
−0.546450 + 0.837492i \(0.684021\pi\)
\(660\) −9.08329 10.7209i −0.353566 0.417311i
\(661\) 2.51759 + 19.1230i 0.0979228 + 0.743798i 0.968012 + 0.250904i \(0.0807277\pi\)
−0.870089 + 0.492894i \(0.835939\pi\)
\(662\) 6.38713 + 22.8413i 0.248243 + 0.887751i
\(663\) −1.86720 70.0138i −0.0725159 2.71911i
\(664\) 0.678810 + 2.23873i 0.0263429 + 0.0868796i
\(665\) 1.14165 1.14165i 0.0442713 0.0442713i
\(666\) −6.92013 10.3849i −0.268150 0.402409i
\(667\) 4.99032 + 2.06706i 0.193226 + 0.0800368i
\(668\) 40.8303 24.7718i 1.57977 0.958451i
\(669\) 15.9183 2.52909i 0.615438 0.0977803i
\(670\) 20.2834 + 25.8473i 0.783614 + 0.998567i
\(671\) −5.76893 9.99208i −0.222707 0.385740i
\(672\) −23.3334 + 16.1212i −0.900104 + 0.621888i
\(673\) −9.38576 + 16.2566i −0.361794 + 0.626646i −0.988256 0.152806i \(-0.951169\pi\)
0.626462 + 0.779452i \(0.284502\pi\)
\(674\) −30.8801 + 4.40734i −1.18946 + 0.169764i
\(675\) −9.46380 10.4801i −0.364262 0.403378i
\(676\) 22.3538 40.7376i 0.859760 1.56683i
\(677\) −19.3164 + 14.8220i −0.742391 + 0.569656i −0.909213 0.416330i \(-0.863316\pi\)
0.166823 + 0.985987i \(0.446649\pi\)
\(678\) −7.77049 7.20808i −0.298424 0.276825i
\(679\) −51.5642 13.8166i −1.97885 0.530232i
\(680\) 24.3788 15.1555i 0.934883 0.581188i
\(681\) 10.9087 + 17.7822i 0.418024 + 0.681415i
\(682\) −8.00607 + 8.18199i −0.306568 + 0.313305i
\(683\) 22.4745 + 9.30925i 0.859963 + 0.356208i 0.768693 0.639618i \(-0.220907\pi\)
0.0912701 + 0.995826i \(0.470907\pi\)
\(684\) 1.21294 1.85362i 0.0463781 0.0708748i
\(685\) −5.60195 13.5243i −0.214040 0.516737i
\(686\) 9.03671 + 21.1631i 0.345023 + 0.808011i
\(687\) 22.0922 23.3028i 0.842870 0.889059i
\(688\) −20.4518 + 17.1554i −0.779718 + 0.654043i
\(689\) 32.8794 + 56.9488i 1.25261 + 2.16958i
\(690\) 0.765979 + 4.50468i 0.0291603 + 0.171490i
\(691\) −2.51606 + 19.1114i −0.0957156 + 0.727032i 0.874541 + 0.484952i \(0.161163\pi\)
−0.970256 + 0.242080i \(0.922170\pi\)
\(692\) −17.2715 + 13.8595i −0.656563 + 0.526859i
\(693\) 17.7142 15.1590i 0.672907 0.575841i
\(694\) 1.63843 + 0.419988i 0.0621941 + 0.0159425i
\(695\) −4.32499 16.1411i −0.164056 0.612266i
\(696\) 17.7452 + 12.0164i 0.672632 + 0.455481i
\(697\) −4.15005 + 15.4882i −0.157194 + 0.586658i
\(698\) 21.3313 37.8921i 0.807403 1.43424i
\(699\) 0.732051 + 0.0765844i 0.0276887 + 0.00289669i
\(700\) 3.74058 15.2810i 0.141381 0.577569i
\(701\) 5.75157 + 13.8855i 0.217234 + 0.524449i 0.994502 0.104721i \(-0.0333949\pi\)
−0.777268 + 0.629170i \(0.783395\pi\)
\(702\) 37.3914 + 23.6328i 1.41125 + 0.891961i
\(703\) 1.08597i 0.0409583i
\(704\) 1.41010 21.4329i 0.0531451 0.807784i
\(705\) −6.58624 22.1954i −0.248052 0.835928i
\(706\) 20.4438 + 26.0517i 0.769411 + 0.980468i
\(707\) −39.4780 30.2925i −1.48472 1.13927i
\(708\) 39.6947 1.92260i 1.49182 0.0722559i
\(709\) −17.5709 22.8988i −0.659887 0.859982i 0.336778 0.941584i \(-0.390663\pi\)
−0.996665 + 0.0816022i \(0.973996\pi\)
\(710\) −2.12566 + 1.25825i −0.0797746 + 0.0472211i
\(711\) 8.44122 + 7.58577i 0.316571 + 0.284488i
\(712\) 18.6687 + 7.02902i 0.699638 + 0.263424i
\(713\) 3.59568 0.963460i 0.134659 0.0360819i
\(714\) 25.3459 + 40.3261i 0.948546 + 1.50917i
\(715\) −24.2079 + 3.18703i −0.905324 + 0.119188i
\(716\) 10.1373 26.0617i 0.378849 0.973972i
\(717\) −3.07039 + 8.01020i −0.114666 + 0.299146i
\(718\) 6.25475 + 14.6480i 0.233425 + 0.546659i
\(719\) 49.7852i 1.85668i 0.371738 + 0.928338i \(0.378762\pi\)
−0.371738 + 0.928338i \(0.621238\pi\)
\(720\) −0.618195 + 18.1188i −0.0230388 + 0.675249i
\(721\) 16.1990i 0.603281i
\(722\) 24.5342 10.4762i 0.913069 0.389883i
\(723\) −30.3026 + 4.81445i −1.12697 + 0.179052i
\(724\) −11.0931 25.2167i −0.412273 0.937171i
\(725\) −11.7864 + 1.55171i −0.437736 + 0.0576290i
\(726\) −0.348446 9.28014i −0.0129320 0.344418i
\(727\) 33.6064 9.00482i 1.24639 0.333970i 0.425451 0.904981i \(-0.360115\pi\)
0.820942 + 0.571011i \(0.193449\pi\)
\(728\) 1.60638 + 49.2555i 0.0595363 + 1.82553i
\(729\) −15.8069 + 21.8893i −0.585440 + 0.810716i
\(730\) 8.77562 + 14.8254i 0.324800 + 0.548712i
\(731\) 27.2914 + 35.5668i 1.00941 + 1.31549i
\(732\) −3.15272 + 14.5486i −0.116528 + 0.537732i
\(733\) 3.73562 + 2.86644i 0.137978 + 0.105875i 0.675445 0.737411i \(-0.263952\pi\)
−0.537466 + 0.843285i \(0.680618\pi\)
\(734\) −14.3197 + 11.2372i −0.528551 + 0.414774i
\(735\) −3.50800 0.840406i −0.129395 0.0309988i
\(736\) −3.94483 + 5.76413i −0.145408 + 0.212469i
\(737\) 41.2879i 1.52086i
\(738\) −6.66750 7.62214i −0.245434 0.280575i
\(739\) 4.38631 + 10.5895i 0.161353 + 0.389541i 0.983792 0.179312i \(-0.0573873\pi\)
−0.822439 + 0.568853i \(0.807387\pi\)
\(740\) −4.61007 7.59858i −0.169470 0.279329i
\(741\) −1.56734 3.51574i −0.0575778 0.129154i
\(742\) −38.9688 21.9375i −1.43059 0.805352i
\(743\) −4.70334 + 17.5531i −0.172549 + 0.643961i 0.824407 + 0.565997i \(0.191509\pi\)
−0.996956 + 0.0779643i \(0.975158\pi\)
\(744\) 14.7436 0.874792i 0.540527 0.0320714i
\(745\) −4.04767 15.1061i −0.148295 0.553445i
\(746\) 1.45319 5.66910i 0.0532050 0.207560i
\(747\) −0.826013 + 2.33976i −0.0302222 + 0.0856075i
\(748\) −35.8581 3.93008i −1.31110 0.143698i
\(749\) 3.51773 26.7198i 0.128535 0.976321i
\(750\) −18.2241 21.9898i −0.665449 0.802953i
\(751\) −20.2013 34.9897i −0.737156 1.27679i −0.953771 0.300535i \(-0.902835\pi\)
0.216615 0.976257i \(-0.430498\pi\)
\(752\) 16.3466 31.3890i 0.596101 1.14464i
\(753\) −10.9208 36.8028i −0.397977 1.34117i
\(754\) 34.2483 14.6242i 1.24725 0.532580i
\(755\) 0.872807 + 2.10714i 0.0317647 + 0.0766867i
\(756\) −30.0684 0.877568i −1.09358 0.0319168i
\(757\) −3.73933 1.54888i −0.135908 0.0562950i 0.313693 0.949525i \(-0.398434\pi\)
−0.449601 + 0.893230i \(0.648434\pi\)
\(758\) 37.0239 + 36.2278i 1.34477 + 1.31585i
\(759\) 2.73743 5.04752i 0.0993623 0.183214i
\(760\) 0.919101 1.28227i 0.0333393 0.0465128i
\(761\) 31.8176 + 8.52550i 1.15339 + 0.309049i 0.784322 0.620354i \(-0.213011\pi\)
0.369065 + 0.929403i \(0.379678\pi\)
\(762\) 6.01540 + 19.4925i 0.217915 + 0.706137i
\(763\) 41.6171 31.9339i 1.50664 1.15609i
\(764\) 3.63036 1.05783i 0.131342 0.0382709i
\(765\) 30.3554 + 2.35954i 1.09750 + 0.0853092i
\(766\) −4.51732 31.6507i −0.163217 1.14358i
\(767\) 34.5285 59.8051i 1.24675 2.15944i
\(768\) −19.9320 + 19.2540i −0.719233 + 0.694769i
\(769\) −15.5674 26.9636i −0.561376 0.972331i −0.997377 0.0723849i \(-0.976939\pi\)
0.436001 0.899946i \(-0.356394\pi\)
\(770\) 13.0627 10.2508i 0.470748 0.369414i
\(771\) 4.18770 10.9251i 0.150816 0.393457i
\(772\) 5.51181 22.5169i 0.198375 0.810401i
\(773\) 3.37470 + 1.39785i 0.121380 + 0.0502771i 0.442547 0.896745i \(-0.354075\pi\)
−0.321167 + 0.947023i \(0.604075\pi\)
\(774\) −28.2552 + 1.81627i −1.01561 + 0.0652844i
\(775\) −5.79324 + 5.79324i −0.208099 + 0.208099i
\(776\) −51.9115 5.11931i −1.86352 0.183772i
\(777\) 12.5701 7.71132i 0.450950 0.276642i
\(778\) 41.7920 11.6863i 1.49832 0.418976i
\(779\) 0.115026 + 0.873711i 0.00412124 + 0.0313039i
\(780\) 25.8914 + 17.9461i 0.927061 + 0.642575i
\(781\) 3.07754 + 0.405165i 0.110123 + 0.0144980i
\(782\) 9.38338 + 7.03944i 0.335549 + 0.251730i
\(783\) 7.61879 + 21.4162i 0.272273 + 0.765352i
\(784\) −2.96196 4.65104i −0.105784 0.166109i
\(785\) 4.86539 8.42710i 0.173653 0.300776i
\(786\) −3.45378 1.28100i −0.123192 0.0456917i
\(787\) −29.9603 22.9894i −1.06797 0.819482i −0.0837594 0.996486i \(-0.526693\pi\)
−0.984210 + 0.177004i \(0.943359\pi\)
\(788\) −1.91879 4.36176i −0.0683542 0.155381i
\(789\) −0.362754 + 0.499795i −0.0129144 + 0.0177932i
\(790\) 5.77702 + 5.65281i 0.205537 + 0.201118i
\(791\) 8.85634 8.85634i 0.314895 0.314895i
\(792\) 14.6675 17.4325i 0.521186 0.619438i
\(793\) 18.2910 + 18.2910i 0.649534 + 0.649534i
\(794\) −0.0246525 2.26844i −0.000874884 0.0805038i
\(795\) −26.1094 + 11.6397i −0.926004 + 0.412819i
\(796\) −36.1824 + 0.786525i −1.28245 + 0.0278776i
\(797\) 3.65925 4.76883i 0.129617 0.168921i −0.724036 0.689762i \(-0.757715\pi\)
0.853653 + 0.520842i \(0.174382\pi\)
\(798\) 2.13510 + 1.51452i 0.0755817 + 0.0536133i
\(799\) −51.4727 29.7178i −1.82097 1.05134i
\(800\) 1.17584 15.3277i 0.0415723 0.541915i
\(801\) 11.5407 + 17.7336i 0.407770 + 0.626585i
\(802\) −4.73187 33.1539i −0.167088 1.17071i
\(803\) 2.82582 21.4642i 0.0997210 0.757456i
\(804\) −35.8013 + 39.4459i −1.26261 + 1.39115i
\(805\) −5.35341 + 0.704790i −0.188683 + 0.0248406i
\(806\) 12.5900 22.3643i 0.443463 0.787748i
\(807\) −1.10072 + 2.02960i −0.0387471 + 0.0714455i
\(808\) −42.8796 22.9264i −1.50850 0.806549i
\(809\) −18.3151 18.3151i −0.643923 0.643923i 0.307595 0.951518i \(-0.400476\pi\)
−0.951518 + 0.307595i \(0.900476\pi\)
\(810\) −11.9090 + 15.0975i −0.418441 + 0.530471i
\(811\) −15.6806 + 37.8562i −0.550619 + 1.32931i 0.366396 + 0.930459i \(0.380591\pi\)
−0.917015 + 0.398852i \(0.869409\pi\)
\(812\) −14.9766 + 20.4220i −0.525577 + 0.716673i
\(813\) 9.03382 7.32267i 0.316830 0.256817i
\(814\) −1.33739 + 11.0883i −0.0468754 + 0.388645i
\(815\) −17.5231 + 10.1170i −0.613806 + 0.354381i
\(816\) 30.8505 + 34.8478i 1.07998 + 1.21992i
\(817\) 2.13379 + 1.23194i 0.0746517 + 0.0431002i
\(818\) −14.9832 + 19.9722i −0.523876 + 0.698312i
\(819\) −29.5651 + 43.1066i −1.03309 + 1.50627i
\(820\) −4.51383 5.62507i −0.157630 0.196436i
\(821\) −16.5609 21.5826i −0.577980 0.753238i 0.409271 0.912413i \(-0.365783\pi\)
−0.987250 + 0.159175i \(0.949117\pi\)
\(822\) 20.0946 12.6299i 0.700881 0.440520i
\(823\) −6.05090 + 22.5823i −0.210921 + 0.787168i 0.776642 + 0.629943i \(0.216922\pi\)
−0.987563 + 0.157225i \(0.949745\pi\)
\(824\) −2.57652 15.6177i −0.0897572 0.544069i
\(825\) 0.336912 + 12.6331i 0.0117298 + 0.439829i
\(826\) 0.510338 + 46.9595i 0.0177569 + 1.63393i
\(827\) 20.6338 49.8145i 0.717508 1.73222i 0.0371828 0.999308i \(-0.488162\pi\)
0.680326 0.732910i \(-0.261838\pi\)
\(828\) −6.99208 + 2.44867i −0.242992 + 0.0850973i
\(829\) −30.6520 + 12.6965i −1.06459 + 0.440967i −0.845078 0.534644i \(-0.820446\pi\)
−0.219510 + 0.975610i \(0.570446\pi\)
\(830\) −0.658476 + 1.63988i −0.0228561 + 0.0569212i
\(831\) 6.73736 28.1229i 0.233716 0.975573i
\(832\) 9.38304 + 47.2327i 0.325299 + 1.63750i
\(833\) −8.01985 + 4.63027i −0.277872 + 0.160429i
\(834\) 24.6243 11.3001i 0.852671 0.391289i
\(835\) 35.7668 + 4.70879i 1.23776 + 0.162954i
\(836\) −1.90338 + 0.554615i −0.0658298 + 0.0191818i
\(837\) 13.1505 + 8.51298i 0.454548 + 0.294252i
\(838\) −4.77031 8.05888i −0.164788 0.278389i
\(839\) 0.215035 0.0576185i 0.00742384 0.00198921i −0.255105 0.966913i \(-0.582110\pi\)
0.262529 + 0.964924i \(0.415443\pi\)
\(840\) −21.3686 1.53337i −0.737287 0.0529064i
\(841\) −9.52692 2.55273i −0.328514 0.0880252i
\(842\) −3.00384 10.7421i −0.103519 0.370199i
\(843\) −1.40693 1.02116i −0.0484572 0.0351705i
\(844\) 5.43390 + 35.3239i 0.187042 + 1.21590i
\(845\) 32.4293 13.4327i 1.11560 0.462098i
\(846\) 33.6870 16.5599i 1.15818 0.569343i
\(847\) 10.9741 0.377075
\(848\) −41.0598 14.9522i −1.41000 0.513460i
\(849\) 16.4831 + 15.6267i 0.565697 + 0.536308i
\(850\) −25.6315 3.09148i −0.879155 0.106037i
\(851\) 2.21096 2.88138i 0.0757907 0.0987724i
\(852\) −2.58891 3.05566i −0.0886946 0.104685i
\(853\) −1.65665 + 1.27119i −0.0567227 + 0.0435248i −0.636734 0.771084i \(-0.719715\pi\)
0.580011 + 0.814609i \(0.303048\pi\)
\(854\) −17.0403 4.36802i −0.583105 0.149470i
\(855\) 1.59095 0.518628i 0.0544092 0.0177367i
\(856\) −0.858396 26.3206i −0.0293394 0.899619i
\(857\) −4.58621 17.1160i −0.156662 0.584671i −0.998957 0.0456543i \(-0.985463\pi\)
0.842295 0.539016i \(-0.181204\pi\)
\(858\) −11.6736 37.8276i −0.398532 1.29141i
\(859\) −2.94144 22.3425i −0.100361 0.762316i −0.965430 0.260663i \(-0.916059\pi\)
0.865069 0.501653i \(-0.167274\pi\)
\(860\) −20.1598 + 0.438231i −0.687445 + 0.0149435i
\(861\) 9.29638 7.53550i 0.316820 0.256809i
\(862\) −5.66804 + 14.1158i −0.193054 + 0.480787i
\(863\) 22.6224 0.770076 0.385038 0.922901i \(-0.374188\pi\)
0.385038 + 0.922901i \(0.374188\pi\)
\(864\) −29.1291 + 3.93644i −0.990992 + 0.133920i
\(865\) −16.7279 −0.568767
\(866\) −8.67501 + 21.6044i −0.294789 + 0.734148i
\(867\) 37.8463 30.6776i 1.28533 1.04187i
\(868\) 0.379304 + 17.4491i 0.0128744 + 0.592260i
\(869\) −1.32575 10.0700i −0.0449729 0.341603i
\(870\) 4.77374 + 15.4690i 0.161845 + 0.524447i
\(871\) 23.9578 + 89.4117i 0.811779 + 3.02960i
\(872\) 35.0446 37.4075i 1.18676 1.26678i
\(873\) −41.1521 36.9817i −1.39279 1.25164i
\(874\) 0.624503 + 0.160082i 0.0211241 + 0.00541486i
\(875\) 26.7751 20.5453i 0.905164 0.694556i
\(876\) −21.3117 + 18.0563i −0.720055 + 0.610067i
\(877\) 15.7128 20.4773i 0.530583 0.691469i −0.448765 0.893650i \(-0.648136\pi\)
0.979348 + 0.202180i \(0.0648027\pi\)
\(878\) −55.5792 6.70353i −1.87571 0.226233i
\(879\) −31.7351 30.0864i −1.07040 1.01479i
\(880\) 10.9636 11.9607i 0.369582 0.403195i
\(881\) 18.9952 0.639965 0.319983 0.947423i \(-0.396323\pi\)
0.319983 + 0.947423i \(0.396323\pi\)
\(882\) 0.389854 5.83559i 0.0131271 0.196494i
\(883\) 14.4411 5.98171i 0.485983 0.201301i −0.126219 0.992002i \(-0.540284\pi\)
0.612202 + 0.790702i \(0.290284\pi\)
\(884\) 79.9335 12.2962i 2.68845 0.413566i
\(885\) 24.2953 + 17.6337i 0.816679 + 0.592750i
\(886\) −2.65357 9.48954i −0.0891485 0.318807i
\(887\) 14.6087 + 3.91440i 0.490513 + 0.131433i 0.495594 0.868554i \(-0.334951\pi\)
−0.00508051 + 0.999987i \(0.501617\pi\)
\(888\) 10.8925 9.43395i 0.365530 0.316583i
\(889\) −23.2848 + 6.23914i −0.780946 + 0.209254i
\(890\) 7.67567 + 12.9672i 0.257289 + 0.434660i
\(891\) 23.4856 5.68637i 0.786796 0.190501i
\(892\) 5.20655 + 17.8683i 0.174328 + 0.598276i
\(893\) −3.23860 0.426369i −0.108375 0.0142679i
\(894\) 23.0454 10.5755i 0.770754 0.353698i
\(895\) 18.2936 10.5618i 0.611488 0.353043i
\(896\) −21.8527 24.3908i −0.730048 0.814839i
\(897\) −2.99920 + 12.5192i −0.100140 + 0.418003i
\(898\) 8.59385 21.4023i 0.286780 0.714204i
\(899\) 12.1847 5.04705i 0.406381 0.168329i
\(900\) 10.6325 12.3617i 0.354416 0.412055i
\(901\) −28.0839 + 67.8005i −0.935610 + 2.25876i
\(902\) 0.0984894 + 9.06266i 0.00327934 + 0.301753i
\(903\) −0.891978 33.4463i −0.0296832 1.11302i
\(904\) 7.12992 9.94720i 0.237138 0.330839i
\(905\) 5.38607 20.1011i 0.179039 0.668183i
\(906\) −3.13082 + 1.96779i −0.104015 + 0.0653756i
\(907\) −23.0574 30.0490i −0.765608 0.997759i −0.999674 0.0255388i \(-0.991870\pi\)
0.234066 0.972221i \(-0.424797\pi\)
\(908\) −18.7878 + 15.0763i −0.623495 + 0.500323i
\(909\) −22.2478 46.5279i −0.737914 1.54323i
\(910\) −22.3401 + 29.7787i −0.740566 + 0.987154i
\(911\) 43.3076 + 25.0037i 1.43484 + 0.828408i 0.997485 0.0708784i \(-0.0225802\pi\)
0.437360 + 0.899287i \(0.355914\pi\)
\(912\) 2.29938 + 1.12058i 0.0761400 + 0.0371060i
\(913\) 1.92316 1.11034i 0.0636474 0.0367468i
\(914\) 5.33312 44.2170i 0.176404 1.46257i
\(915\) −8.73557 + 7.08091i −0.288789 + 0.234088i
\(916\) 29.8996 + 21.9271i 0.987911 + 0.724491i
\(917\) 1.66583 4.02167i 0.0550105 0.132807i
\(918\) 4.47888 + 49.1612i 0.147825 + 1.62256i
\(919\) −15.4201 15.4201i −0.508662 0.508662i 0.405454 0.914116i \(-0.367114\pi\)
−0.914116 + 0.405454i \(0.867114\pi\)
\(920\) −5.04922 + 1.53098i −0.166468 + 0.0504750i
\(921\) 16.4587 30.3481i 0.542333 1.00000i
\(922\) −1.28564 + 2.28375i −0.0423403 + 0.0752114i
\(923\) −6.89971 + 0.908364i −0.227107 + 0.0298992i
\(924\) 19.9352 + 18.0933i 0.655821 + 0.595227i
\(925\) −1.04335 + 7.92504i −0.0343052 + 0.260574i
\(926\) −3.41232 23.9084i −0.112136 0.785680i
\(927\) 7.60760 14.9665i 0.249866 0.491563i
\(928\) −11.1910 + 22.0714i −0.367364 + 0.724528i
\(929\) 40.7702 + 23.5387i 1.33763 + 0.772279i 0.986455 0.164033i \(-0.0524503\pi\)
0.351171 + 0.936311i \(0.385784\pi\)
\(930\) 9.09987 + 6.45492i 0.298396 + 0.211665i
\(931\) −0.309831 + 0.403780i −0.0101543 + 0.0132333i
\(932\) 0.0184709 + 0.849712i 0.000605033 + 0.0278332i
\(933\) −20.5012 + 9.13958i −0.671179 + 0.299216i
\(934\) −0.233570 21.4923i −0.00764265 0.703250i
\(935\) −19.2680 19.2680i −0.630131 0.630131i
\(936\) −21.6480 + 46.2623i −0.707586 + 1.51213i
\(937\) 12.8628 12.8628i 0.420211 0.420211i −0.465066 0.885276i \(-0.653969\pi\)
0.885276 + 0.465066i \(0.153969\pi\)
\(938\) −44.9931 44.0257i −1.46908 1.43749i
\(939\) −0.864080 + 1.19051i −0.0281982 + 0.0388509i
\(940\) 24.4705 10.7649i 0.798139 0.351111i
\(941\) −8.62323 6.61683i −0.281109 0.215703i 0.458577 0.888655i \(-0.348359\pi\)
−0.739686 + 0.672952i \(0.765026\pi\)
\(942\) 14.7922 + 5.48640i 0.481957 + 0.178757i
\(943\) 1.47361 2.55237i 0.0479874 0.0831166i
\(944\) 7.96114 + 45.1933i 0.259113 + 1.47092i
\(945\) −17.3001 14.7324i −0.562773 0.479246i
\(946\) 20.2698 + 15.2065i 0.659029 + 0.494406i
\(947\) 5.41366 + 0.712722i 0.175920 + 0.0231603i 0.217972 0.975955i \(-0.430056\pi\)
−0.0420513 + 0.999115i \(0.513389\pi\)
\(948\) −7.46527 + 10.7704i −0.242461 + 0.349805i
\(949\) 6.33537 + 48.1219i 0.205655 + 1.56210i
\(950\) −1.36648 + 0.382111i −0.0443346 + 0.0123973i
\(951\) 4.12898 2.53298i 0.133891 0.0821377i
\(952\) −42.5186 + 34.8853i −1.37803 + 1.13064i
\(953\) 18.9942 18.9942i 0.615284 0.615284i −0.329034 0.944318i \(-0.606723\pi\)
0.944318 + 0.329034i \(0.106723\pi\)
\(954\) −25.7012 38.5695i −0.832108 1.24873i
\(955\) 2.63896 + 1.09309i 0.0853948 + 0.0353717i
\(956\) −9.62153 2.35521i −0.311182 0.0761730i
\(957\) 7.28131 18.9959i 0.235371 0.614049i
\(958\) 23.6908 18.5911i 0.765417 0.600652i
\(959\) 14.0234 + 24.2892i 0.452838 + 0.784338i
\(960\) −20.8457 + 1.92041i −0.672793 + 0.0619811i
\(961\) −10.9554 + 18.9754i −0.353401 + 0.612109i
\(962\) −3.53792 24.7885i −0.114067 0.799214i
\(963\) 15.7986 23.0348i 0.509104 0.742285i
\(964\) −9.91135 34.0147i −0.319223 1.09554i
\(965\) 13.8926 10.6602i 0.447219 0.343163i
\(966\) −2.58155 8.36531i −0.0830599 0.269149i
\(967\) −32.3658 8.67240i −1.04081 0.278885i −0.302364 0.953193i \(-0.597776\pi\)
−0.738451 + 0.674307i \(0.764442\pi\)
\(968\) 10.5803 1.74548i 0.340065 0.0561018i
\(969\) 2.04795 3.77621i 0.0657897 0.121309i
\(970\) −28.1638 27.5582i −0.904284 0.884841i
\(971\) 23.0011 + 9.52735i 0.738139 + 0.305747i 0.719892 0.694086i \(-0.244191\pi\)
0.0182473 + 0.999834i \(0.494191\pi\)
\(972\) −27.3685 14.9320i −0.877846 0.478944i
\(973\) 12.2521 + 29.5792i 0.392784 + 0.948265i
\(974\) −13.8391 + 5.90936i −0.443435 + 0.189348i
\(975\) −8.06013 27.1624i −0.258131 0.869893i
\(976\) −17.1236 1.50096i −0.548112 0.0480444i
\(977\) −18.0375 31.2419i −0.577071 0.999517i −0.995813 0.0914117i \(-0.970862\pi\)
0.418742 0.908105i \(-0.362471\pi\)
\(978\) −20.9335 25.2591i −0.669380 0.807697i
\(979\) 2.47163 18.7739i 0.0789936 0.600016i
\(980\) 0.453805 4.14052i 0.0144963 0.132264i
\(981\) 53.4479 9.95937i 1.70646 0.317978i
\(982\) −8.79512 + 34.3110i −0.280663 + 1.09491i
\(983\) 11.0916 + 41.3945i 0.353768 + 1.32028i 0.882028 + 0.471197i \(0.156178\pi\)
−0.528260 + 0.849083i \(0.677155\pi\)
\(984\) 7.76426 8.74374i 0.247515 0.278740i
\(985\) 0.931634 3.47691i 0.0296843 0.110783i
\(986\) 36.2155 + 20.3875i 1.15333 + 0.649270i
\(987\) 18.0615 + 40.5142i 0.574904 + 1.28958i
\(988\) 3.80008 2.30552i 0.120897 0.0733482i
\(989\) −3.15336 7.61289i −0.100271 0.242076i
\(990\) 16.8830 3.33617i 0.536577 0.106031i
\(991\) 9.65591i 0.306730i −0.988170 0.153365i \(-0.950989\pi\)
0.988170 0.153365i \(-0.0490110\pi\)
\(992\) 3.14105 + 16.7626i 0.0997283 + 0.532214i
\(993\) −28.2485 6.76745i −0.896440 0.214759i
\(994\) 3.72313 2.92168i 0.118091 0.0926702i
\(995\) −21.6889 16.6425i −0.687586 0.527603i
\(996\) −2.80015 0.606798i −0.0887262 0.0192271i
\(997\) −8.88320 11.5768i −0.281334 0.366641i 0.631216 0.775607i \(-0.282556\pi\)
−0.912550 + 0.408966i \(0.865890\pi\)
\(998\) 25.2571 + 42.6689i 0.799498 + 1.35066i
\(999\) 15.2352 1.22124i 0.482021 0.0386383i
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 288.2.bf.a.11.6 368
3.2 odd 2 864.2.bn.a.683.41 368
9.4 even 3 864.2.bn.a.395.37 368
9.5 odd 6 inner 288.2.bf.a.203.10 yes 368
32.3 odd 8 inner 288.2.bf.a.227.10 yes 368
96.35 even 8 864.2.bn.a.35.37 368
288.67 odd 24 864.2.bn.a.611.41 368
288.131 even 24 inner 288.2.bf.a.131.6 yes 368
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
288.2.bf.a.11.6 368 1.1 even 1 trivial
288.2.bf.a.131.6 yes 368 288.131 even 24 inner
288.2.bf.a.203.10 yes 368 9.5 odd 6 inner
288.2.bf.a.227.10 yes 368 32.3 odd 8 inner
864.2.bn.a.35.37 368 96.35 even 8
864.2.bn.a.395.37 368 9.4 even 3
864.2.bn.a.611.41 368 288.67 odd 24
864.2.bn.a.683.41 368 3.2 odd 2