Properties

Label 966.2.q.j.127.1
Level $966$
Weight $2$
Character 966.127
Analytic conductor $7.714$
Analytic rank $0$
Dimension $40$
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] = [966,2,Mod(85,966)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(966, base_ring=CyclotomicField(22))
 
chi = DirichletCharacter(H, H._module([0, 0, 8]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("966.85");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 966.q (of order \(11\), degree \(10\), 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: \(7.71354883526\)
Analytic rank: \(0\)
Dimension: \(40\)
Relative dimension: \(4\) over \(\Q(\zeta_{11})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label 127.1
Character \(\chi\) \(=\) 966.127
Dual form 966.2.q.j.715.1

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.841254 - 0.540641i) q^{2} +(0.142315 - 0.989821i) q^{3} +(0.415415 - 0.909632i) q^{4} +(-3.54832 + 1.04188i) q^{5} +(-0.415415 - 0.909632i) q^{6} +(0.654861 + 0.755750i) q^{7} +(-0.142315 - 0.989821i) q^{8} +(-0.959493 - 0.281733i) q^{9} +O(q^{10})\) \(q+(0.841254 - 0.540641i) q^{2} +(0.142315 - 0.989821i) q^{3} +(0.415415 - 0.909632i) q^{4} +(-3.54832 + 1.04188i) q^{5} +(-0.415415 - 0.909632i) q^{6} +(0.654861 + 0.755750i) q^{7} +(-0.142315 - 0.989821i) q^{8} +(-0.959493 - 0.281733i) q^{9} +(-2.42175 + 2.79485i) q^{10} +(0.316339 + 0.203298i) q^{11} +(-0.841254 - 0.540641i) q^{12} +(-3.08609 + 3.56154i) q^{13} +(0.959493 + 0.281733i) q^{14} +(0.526297 + 3.66047i) q^{15} +(-0.654861 - 0.755750i) q^{16} +(1.83439 + 4.01675i) q^{17} +(-0.959493 + 0.281733i) q^{18} +(-0.938589 + 2.05522i) q^{19} +(-0.526297 + 3.66047i) q^{20} +(0.841254 - 0.540641i) q^{21} +0.376032 q^{22} +(-3.55545 + 3.21850i) q^{23} -1.00000 q^{24} +(7.29877 - 4.69063i) q^{25} +(-0.670671 + 4.66462i) q^{26} +(-0.415415 + 0.909632i) q^{27} +(0.959493 - 0.281733i) q^{28} +(2.67303 + 5.85312i) q^{29} +(2.42175 + 2.79485i) q^{30} +(-1.03151 - 7.17433i) q^{31} +(-0.959493 - 0.281733i) q^{32} +(0.246249 - 0.284186i) q^{33} +(3.71480 + 2.38736i) q^{34} +(-3.11105 - 1.99935i) q^{35} +(-0.654861 + 0.755750i) q^{36} +(8.09327 + 2.37640i) q^{37} +(0.321546 + 2.23640i) q^{38} +(3.08609 + 3.56154i) q^{39} +(1.53625 + 3.36392i) q^{40} +(-2.40243 + 0.705417i) q^{41} +(0.415415 - 0.909632i) q^{42} +(-0.614294 + 4.27251i) q^{43} +(0.316339 - 0.203298i) q^{44} +3.69812 q^{45} +(-1.25098 + 4.62980i) q^{46} -6.70478 q^{47} +(-0.841254 + 0.540641i) q^{48} +(-0.142315 + 0.989821i) q^{49} +(3.60417 - 7.89202i) q^{50} +(4.23693 - 1.24407i) q^{51} +(1.95768 + 4.28672i) q^{52} +(-6.94596 - 8.01606i) q^{53} +(0.142315 + 0.989821i) q^{54} +(-1.33428 - 0.391780i) q^{55} +(0.654861 - 0.755750i) q^{56} +(1.90073 + 1.22152i) q^{57} +(5.41313 + 3.47881i) q^{58} +(-9.56272 + 11.0360i) q^{59} +(3.54832 + 1.04188i) q^{60} +(1.28448 + 8.93376i) q^{61} +(-4.74650 - 5.47775i) q^{62} +(-0.415415 - 0.909632i) q^{63} +(-0.959493 + 0.281733i) q^{64} +(7.23973 - 15.8528i) q^{65} +(0.0535150 - 0.372205i) q^{66} +(4.87876 - 3.13539i) q^{67} +4.41580 q^{68} +(2.67975 + 3.97730i) q^{69} -3.69812 q^{70} +(-13.5463 + 8.70571i) q^{71} +(-0.142315 + 0.989821i) q^{72} +(1.68672 - 3.69340i) q^{73} +(8.09327 - 2.37640i) q^{74} +(-3.60417 - 7.89202i) q^{75} +(1.47959 + 1.70754i) q^{76} +(0.0535150 + 0.372205i) q^{77} +(4.52170 + 1.32769i) q^{78} +(4.94366 - 5.70529i) q^{79} +(3.11105 + 1.99935i) q^{80} +(0.841254 + 0.540641i) q^{81} +(-1.63968 + 1.89229i) q^{82} +(5.71412 + 1.67782i) q^{83} +(-0.142315 - 0.989821i) q^{84} +(-10.6940 - 12.3415i) q^{85} +(1.79311 + 3.92637i) q^{86} +(6.17395 - 1.81284i) q^{87} +(0.156209 - 0.342051i) q^{88} +(-0.740414 + 5.14969i) q^{89} +(3.11105 - 1.99935i) q^{90} -4.71259 q^{91} +(1.45067 + 4.57117i) q^{92} -7.24811 q^{93} +(-5.64042 + 3.62488i) q^{94} +(1.18912 - 8.27048i) q^{95} +(-0.415415 + 0.909632i) q^{96} +(3.46442 - 1.01724i) q^{97} +(0.415415 + 0.909632i) q^{98} +(-0.246249 - 0.284186i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 40 q - 4 q^{2} + 4 q^{3} - 4 q^{4} - 4 q^{5} + 4 q^{6} + 4 q^{7} - 4 q^{8} - 4 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 40 q - 4 q^{2} + 4 q^{3} - 4 q^{4} - 4 q^{5} + 4 q^{6} + 4 q^{7} - 4 q^{8} - 4 q^{9} - 4 q^{10} - 11 q^{11} + 4 q^{12} - 20 q^{13} + 4 q^{14} - 7 q^{15} - 4 q^{16} + 5 q^{17} - 4 q^{18} + 44 q^{19} + 7 q^{20} - 4 q^{21} + 22 q^{22} - 6 q^{23} - 40 q^{24} + 2 q^{25} + 24 q^{26} + 4 q^{27} + 4 q^{28} + 35 q^{29} + 4 q^{30} - 2 q^{31} - 4 q^{32} - 11 q^{33} + 5 q^{34} - 7 q^{35} - 4 q^{36} + 20 q^{37} - 11 q^{38} + 20 q^{39} - 4 q^{40} + 11 q^{41} - 4 q^{42} - 42 q^{43} - 11 q^{44} - 4 q^{45} - 6 q^{46} + 40 q^{47} + 4 q^{48} - 4 q^{49} - 53 q^{50} + 17 q^{51} - 9 q^{52} - 32 q^{53} + 4 q^{54} + 29 q^{55} + 4 q^{56} - 11 q^{57} - 31 q^{58} - 25 q^{59} + 4 q^{60} - 30 q^{61} - 24 q^{62} + 4 q^{63} - 4 q^{64} + 80 q^{65} - 88 q^{67} - 28 q^{68} + 6 q^{69} + 4 q^{70} - 45 q^{71} - 4 q^{72} - 39 q^{73} + 20 q^{74} + 53 q^{75} - 22 q^{76} - 2 q^{78} + 26 q^{79} + 7 q^{80} - 4 q^{81} + 22 q^{83} - 4 q^{84} + 77 q^{85} - 31 q^{86} + 9 q^{87} - 11 q^{88} + 20 q^{89} + 7 q^{90} - 24 q^{91} - 17 q^{92} - 42 q^{93} - 26 q^{94} + 84 q^{95} + 4 q^{96} + 74 q^{97} - 4 q^{98} + 11 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/966\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(829\) \(925\)
\(\chi(n)\) \(1\) \(1\) \(e\left(\frac{10}{11}\right)\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.841254 0.540641i 0.594856 0.382291i
\(3\) 0.142315 0.989821i 0.0821655 0.571474i
\(4\) 0.415415 0.909632i 0.207708 0.454816i
\(5\) −3.54832 + 1.04188i −1.58686 + 0.465943i −0.951850 0.306565i \(-0.900820\pi\)
−0.635005 + 0.772508i \(0.719002\pi\)
\(6\) −0.415415 0.909632i −0.169592 0.371356i
\(7\) 0.654861 + 0.755750i 0.247514 + 0.285646i
\(8\) −0.142315 0.989821i −0.0503159 0.349955i
\(9\) −0.959493 0.281733i −0.319831 0.0939109i
\(10\) −2.42175 + 2.79485i −0.765825 + 0.883809i
\(11\) 0.316339 + 0.203298i 0.0953797 + 0.0612968i 0.587461 0.809252i \(-0.300127\pi\)
−0.492082 + 0.870549i \(0.663764\pi\)
\(12\) −0.841254 0.540641i −0.242849 0.156070i
\(13\) −3.08609 + 3.56154i −0.855927 + 0.987793i −0.999998 0.00177458i \(-0.999435\pi\)
0.144071 + 0.989567i \(0.453981\pi\)
\(14\) 0.959493 + 0.281733i 0.256435 + 0.0752962i
\(15\) 0.526297 + 3.66047i 0.135889 + 0.945130i
\(16\) −0.654861 0.755750i −0.163715 0.188937i
\(17\) 1.83439 + 4.01675i 0.444904 + 0.974205i 0.990672 + 0.136268i \(0.0435109\pi\)
−0.545768 + 0.837937i \(0.683762\pi\)
\(18\) −0.959493 + 0.281733i −0.226155 + 0.0664050i
\(19\) −0.938589 + 2.05522i −0.215327 + 0.471501i −0.986215 0.165471i \(-0.947086\pi\)
0.770888 + 0.636971i \(0.219813\pi\)
\(20\) −0.526297 + 3.66047i −0.117684 + 0.818507i
\(21\) 0.841254 0.540641i 0.183577 0.117977i
\(22\) 0.376032 0.0801704
\(23\) −3.55545 + 3.21850i −0.741363 + 0.671104i
\(24\) −1.00000 −0.204124
\(25\) 7.29877 4.69063i 1.45975 0.938126i
\(26\) −0.670671 + 4.66462i −0.131529 + 0.914808i
\(27\) −0.415415 + 0.909632i −0.0799467 + 0.175059i
\(28\) 0.959493 0.281733i 0.181327 0.0532424i
\(29\) 2.67303 + 5.85312i 0.496369 + 1.08690i 0.977633 + 0.210320i \(0.0674507\pi\)
−0.481264 + 0.876576i \(0.659822\pi\)
\(30\) 2.42175 + 2.79485i 0.442149 + 0.510267i
\(31\) −1.03151 7.17433i −0.185265 1.28855i −0.844070 0.536234i \(-0.819847\pi\)
0.658804 0.752314i \(-0.271062\pi\)
\(32\) −0.959493 0.281733i −0.169616 0.0498038i
\(33\) 0.246249 0.284186i 0.0428664 0.0494705i
\(34\) 3.71480 + 2.38736i 0.637084 + 0.409429i
\(35\) −3.11105 1.99935i −0.525864 0.337952i
\(36\) −0.654861 + 0.755750i −0.109143 + 0.125958i
\(37\) 8.09327 + 2.37640i 1.33053 + 0.390678i 0.868280 0.496074i \(-0.165226\pi\)
0.462246 + 0.886752i \(0.347044\pi\)
\(38\) 0.321546 + 2.23640i 0.0521617 + 0.362793i
\(39\) 3.08609 + 3.56154i 0.494170 + 0.570302i
\(40\) 1.53625 + 3.36392i 0.242903 + 0.531883i
\(41\) −2.40243 + 0.705417i −0.375197 + 0.110168i −0.463893 0.885891i \(-0.653548\pi\)
0.0886968 + 0.996059i \(0.471730\pi\)
\(42\) 0.415415 0.909632i 0.0640999 0.140359i
\(43\) −0.614294 + 4.27251i −0.0936789 + 0.651551i 0.887835 + 0.460162i \(0.152209\pi\)
−0.981514 + 0.191390i \(0.938701\pi\)
\(44\) 0.316339 0.203298i 0.0476898 0.0306484i
\(45\) 3.69812 0.551283
\(46\) −1.25098 + 4.62980i −0.184447 + 0.682627i
\(47\) −6.70478 −0.977992 −0.488996 0.872286i \(-0.662637\pi\)
−0.488996 + 0.872286i \(0.662637\pi\)
\(48\) −0.841254 + 0.540641i −0.121424 + 0.0780348i
\(49\) −0.142315 + 0.989821i −0.0203307 + 0.141403i
\(50\) 3.60417 7.89202i 0.509706 1.11610i
\(51\) 4.23693 1.24407i 0.593288 0.174205i
\(52\) 1.95768 + 4.28672i 0.271481 + 0.594461i
\(53\) −6.94596 8.01606i −0.954101 1.10109i −0.994793 0.101919i \(-0.967502\pi\)
0.0406920 0.999172i \(-0.487044\pi\)
\(54\) 0.142315 + 0.989821i 0.0193666 + 0.134698i
\(55\) −1.33428 0.391780i −0.179915 0.0528277i
\(56\) 0.654861 0.755750i 0.0875094 0.100991i
\(57\) 1.90073 + 1.22152i 0.251758 + 0.161795i
\(58\) 5.41313 + 3.47881i 0.710778 + 0.456790i
\(59\) −9.56272 + 11.0360i −1.24496 + 1.43676i −0.387775 + 0.921754i \(0.626756\pi\)
−0.857186 + 0.515007i \(0.827789\pi\)
\(60\) 3.54832 + 1.04188i 0.458086 + 0.134506i
\(61\) 1.28448 + 8.93376i 0.164461 + 1.14385i 0.890097 + 0.455772i \(0.150637\pi\)
−0.725636 + 0.688079i \(0.758454\pi\)
\(62\) −4.74650 5.47775i −0.602806 0.695675i
\(63\) −0.415415 0.909632i −0.0523374 0.114603i
\(64\) −0.959493 + 0.281733i −0.119937 + 0.0352166i
\(65\) 7.23973 15.8528i 0.897978 1.96630i
\(66\) 0.0535150 0.372205i 0.00658724 0.0458153i
\(67\) 4.87876 3.13539i 0.596036 0.383049i −0.207562 0.978222i \(-0.566553\pi\)
0.803598 + 0.595173i \(0.202916\pi\)
\(68\) 4.41580 0.535494
\(69\) 2.67975 + 3.97730i 0.322604 + 0.478811i
\(70\) −3.69812 −0.442009
\(71\) −13.5463 + 8.70571i −1.60766 + 1.03318i −0.644365 + 0.764718i \(0.722878\pi\)
−0.963291 + 0.268459i \(0.913486\pi\)
\(72\) −0.142315 + 0.989821i −0.0167720 + 0.116652i
\(73\) 1.68672 3.69340i 0.197416 0.432280i −0.784872 0.619658i \(-0.787271\pi\)
0.982288 + 0.187378i \(0.0599988\pi\)
\(74\) 8.09327 2.37640i 0.940824 0.276251i
\(75\) −3.60417 7.89202i −0.416173 0.911292i
\(76\) 1.47959 + 1.70754i 0.169721 + 0.195868i
\(77\) 0.0535150 + 0.372205i 0.00609860 + 0.0424167i
\(78\) 4.52170 + 1.32769i 0.511981 + 0.150331i
\(79\) 4.94366 5.70529i 0.556205 0.641895i −0.406112 0.913823i \(-0.633116\pi\)
0.962318 + 0.271928i \(0.0876612\pi\)
\(80\) 3.11105 + 1.99935i 0.347826 + 0.223534i
\(81\) 0.841254 + 0.540641i 0.0934726 + 0.0600712i
\(82\) −1.63968 + 1.89229i −0.181072 + 0.208968i
\(83\) 5.71412 + 1.67782i 0.627206 + 0.184164i 0.579862 0.814714i \(-0.303106\pi\)
0.0473435 + 0.998879i \(0.484924\pi\)
\(84\) −0.142315 0.989821i −0.0155278 0.107998i
\(85\) −10.6940 12.3415i −1.15992 1.33862i
\(86\) 1.79311 + 3.92637i 0.193357 + 0.423392i
\(87\) 6.17395 1.81284i 0.661917 0.194356i
\(88\) 0.156209 0.342051i 0.0166520 0.0364628i
\(89\) −0.740414 + 5.14969i −0.0784838 + 0.545867i 0.912206 + 0.409731i \(0.134377\pi\)
−0.990690 + 0.136136i \(0.956532\pi\)
\(90\) 3.11105 1.99935i 0.327934 0.210750i
\(91\) −4.71259 −0.494014
\(92\) 1.45067 + 4.57117i 0.151242 + 0.476577i
\(93\) −7.24811 −0.751594
\(94\) −5.64042 + 3.62488i −0.581765 + 0.373877i
\(95\) 1.18912 8.27048i 0.122001 0.848533i
\(96\) −0.415415 + 0.909632i −0.0423981 + 0.0928389i
\(97\) 3.46442 1.01724i 0.351758 0.103286i −0.101080 0.994878i \(-0.532230\pi\)
0.452838 + 0.891593i \(0.350412\pi\)
\(98\) 0.415415 + 0.909632i 0.0419633 + 0.0918867i
\(99\) −0.246249 0.284186i −0.0247489 0.0285618i
\(100\) −1.23473 8.58775i −0.123473 0.858775i
\(101\) 3.23140 + 0.948824i 0.321536 + 0.0944115i 0.438518 0.898723i \(-0.355504\pi\)
−0.116982 + 0.993134i \(0.537322\pi\)
\(102\) 2.89173 3.33724i 0.286324 0.330436i
\(103\) −9.39591 6.03838i −0.925806 0.594980i −0.0114694 0.999934i \(-0.503651\pi\)
−0.914337 + 0.404955i \(0.867287\pi\)
\(104\) 3.96448 + 2.54782i 0.388749 + 0.249834i
\(105\) −2.42175 + 2.79485i −0.236339 + 0.272749i
\(106\) −10.1771 2.98827i −0.988490 0.290247i
\(107\) −2.08184 14.4795i −0.201259 1.39978i −0.800556 0.599258i \(-0.795462\pi\)
0.599297 0.800526i \(-0.295447\pi\)
\(108\) 0.654861 + 0.755750i 0.0630140 + 0.0727220i
\(109\) 4.61536 + 10.1062i 0.442071 + 0.968001i 0.991213 + 0.132272i \(0.0422274\pi\)
−0.549142 + 0.835729i \(0.685045\pi\)
\(110\) −1.33428 + 0.391780i −0.127219 + 0.0373548i
\(111\) 3.50400 7.67270i 0.332585 0.728260i
\(112\) 0.142315 0.989821i 0.0134475 0.0935293i
\(113\) 6.00789 3.86103i 0.565174 0.363215i −0.226639 0.973979i \(-0.572774\pi\)
0.791813 + 0.610763i \(0.209137\pi\)
\(114\) 2.25940 0.211612
\(115\) 9.26257 15.1246i 0.863739 1.41038i
\(116\) 6.43460 0.597437
\(117\) 3.96448 2.54782i 0.366517 0.235546i
\(118\) −2.07818 + 14.4540i −0.191312 + 1.33060i
\(119\) −1.83439 + 4.01675i −0.168158 + 0.368215i
\(120\) 3.54832 1.04188i 0.323915 0.0951102i
\(121\) −4.51083 9.87733i −0.410075 0.897939i
\(122\) 5.91053 + 6.82111i 0.535114 + 0.617554i
\(123\) 0.356336 + 2.47837i 0.0321297 + 0.223467i
\(124\) −6.95451 2.04203i −0.624533 0.183379i
\(125\) −8.90250 + 10.2740i −0.796264 + 0.918938i
\(126\) −0.841254 0.540641i −0.0749448 0.0481641i
\(127\) −11.3585 7.29967i −1.00791 0.647741i −0.0710551 0.997472i \(-0.522637\pi\)
−0.936850 + 0.349731i \(0.886273\pi\)
\(128\) −0.654861 + 0.755750i −0.0578821 + 0.0667995i
\(129\) 4.14160 + 1.21608i 0.364647 + 0.107070i
\(130\) −2.48022 17.2503i −0.217530 1.51295i
\(131\) −6.25612 7.21995i −0.546600 0.630810i 0.413487 0.910510i \(-0.364311\pi\)
−0.960088 + 0.279700i \(0.909765\pi\)
\(132\) −0.156209 0.342051i −0.0135963 0.0297717i
\(133\) −2.16788 + 0.636547i −0.187979 + 0.0551956i
\(134\) 2.40916 5.27532i 0.208119 0.455718i
\(135\) 0.526297 3.66047i 0.0452964 0.315043i
\(136\) 3.71480 2.38736i 0.318542 0.204714i
\(137\) −7.88359 −0.673540 −0.336770 0.941587i \(-0.609335\pi\)
−0.336770 + 0.941587i \(0.609335\pi\)
\(138\) 4.40464 + 1.89714i 0.374948 + 0.161495i
\(139\) 7.92830 0.672470 0.336235 0.941778i \(-0.390846\pi\)
0.336235 + 0.941778i \(0.390846\pi\)
\(140\) −3.11105 + 1.99935i −0.262932 + 0.168976i
\(141\) −0.954189 + 6.63653i −0.0803572 + 0.558897i
\(142\) −6.68925 + 14.6474i −0.561349 + 1.22918i
\(143\) −1.70030 + 0.499254i −0.142187 + 0.0417497i
\(144\) 0.415415 + 0.909632i 0.0346179 + 0.0758027i
\(145\) −15.5830 17.9837i −1.29410 1.49347i
\(146\) −0.577845 4.01900i −0.0478228 0.332615i
\(147\) 0.959493 + 0.281733i 0.0791376 + 0.0232369i
\(148\) 5.52372 6.37471i 0.454047 0.523998i
\(149\) −9.27376 5.95988i −0.759736 0.488253i 0.102516 0.994731i \(-0.467311\pi\)
−0.862253 + 0.506479i \(0.830947\pi\)
\(150\) −7.29877 4.69063i −0.595942 0.382989i
\(151\) −0.160746 + 0.185511i −0.0130813 + 0.0150967i −0.762253 0.647280i \(-0.775907\pi\)
0.749171 + 0.662376i \(0.230452\pi\)
\(152\) 2.16788 + 0.636547i 0.175838 + 0.0516308i
\(153\) −0.628433 4.37085i −0.0508058 0.353362i
\(154\) 0.246249 + 0.284186i 0.0198433 + 0.0229004i
\(155\) 11.1349 + 24.3821i 0.894378 + 1.95842i
\(156\) 4.52170 1.32769i 0.362025 0.106300i
\(157\) −9.41332 + 20.6123i −0.751264 + 1.64504i 0.0128152 + 0.999918i \(0.495921\pi\)
−0.764080 + 0.645122i \(0.776807\pi\)
\(158\) 1.07436 7.47234i 0.0854715 0.594468i
\(159\) −8.92298 + 5.73445i −0.707639 + 0.454772i
\(160\) 3.69812 0.292362
\(161\) −4.76071 0.579359i −0.375196 0.0456599i
\(162\) 1.00000 0.0785674
\(163\) 8.64283 5.55441i 0.676959 0.435055i −0.156469 0.987683i \(-0.550011\pi\)
0.833428 + 0.552628i \(0.186375\pi\)
\(164\) −0.356336 + 2.47837i −0.0278251 + 0.193528i
\(165\) −0.577681 + 1.26494i −0.0449724 + 0.0984758i
\(166\) 5.71412 1.67782i 0.443502 0.130224i
\(167\) −2.72869 5.97500i −0.211152 0.462359i 0.774189 0.632955i \(-0.218158\pi\)
−0.985341 + 0.170596i \(0.945431\pi\)
\(168\) −0.654861 0.755750i −0.0505236 0.0583073i
\(169\) −1.31051 9.11477i −0.100808 0.701136i
\(170\) −15.6686 4.60073i −1.20173 0.352860i
\(171\) 1.47959 1.70754i 0.113147 0.130579i
\(172\) 3.63122 + 2.33364i 0.276878 + 0.177939i
\(173\) 4.51677 + 2.90275i 0.343403 + 0.220692i 0.700962 0.713199i \(-0.252754\pi\)
−0.357558 + 0.933891i \(0.616391\pi\)
\(174\) 4.21377 4.86294i 0.319445 0.368659i
\(175\) 8.32462 + 2.44433i 0.629282 + 0.184774i
\(176\) −0.0535150 0.372205i −0.00403384 0.0280560i
\(177\) 9.56272 + 11.0360i 0.718778 + 0.829514i
\(178\) 2.16126 + 4.73250i 0.161993 + 0.354716i
\(179\) 24.7354 7.26298i 1.84881 0.542861i 0.848917 0.528526i \(-0.177255\pi\)
0.999897 0.0143346i \(-0.00456301\pi\)
\(180\) 1.53625 3.36392i 0.114506 0.250732i
\(181\) −3.13725 + 21.8201i −0.233190 + 1.62187i 0.450969 + 0.892540i \(0.351079\pi\)
−0.684159 + 0.729333i \(0.739830\pi\)
\(182\) −3.96448 + 2.54782i −0.293867 + 0.188857i
\(183\) 9.02562 0.667193
\(184\) 3.69174 + 3.06122i 0.272158 + 0.225676i
\(185\) −31.1934 −2.29339
\(186\) −6.09749 + 3.91862i −0.447090 + 0.287327i
\(187\) −0.236311 + 1.64358i −0.0172808 + 0.120191i
\(188\) −2.78526 + 6.09888i −0.203136 + 0.444806i
\(189\) −0.959493 + 0.281733i −0.0697928 + 0.0204930i
\(190\) −3.47101 7.60046i −0.251814 0.551395i
\(191\) 15.1456 + 17.4790i 1.09590 + 1.26473i 0.961796 + 0.273767i \(0.0882698\pi\)
0.134103 + 0.990967i \(0.457185\pi\)
\(192\) 0.142315 + 0.989821i 0.0102707 + 0.0714342i
\(193\) −2.59189 0.761049i −0.186569 0.0547815i 0.187114 0.982338i \(-0.440087\pi\)
−0.373682 + 0.927557i \(0.621905\pi\)
\(194\) 2.36449 2.72877i 0.169760 0.195914i
\(195\) −14.6611 9.42213i −1.04990 0.674733i
\(196\) 0.841254 + 0.540641i 0.0600895 + 0.0386172i
\(197\) −15.8866 + 18.3341i −1.13187 + 1.30625i −0.185691 + 0.982608i \(0.559452\pi\)
−0.946180 + 0.323641i \(0.895093\pi\)
\(198\) −0.360800 0.105941i −0.0256410 0.00752887i
\(199\) −0.706802 4.91591i −0.0501039 0.348480i −0.999417 0.0341475i \(-0.989128\pi\)
0.949313 0.314332i \(-0.101781\pi\)
\(200\) −5.68161 6.55693i −0.401751 0.463645i
\(201\) −2.40916 5.27532i −0.169929 0.372092i
\(202\) 3.23140 0.948824i 0.227360 0.0667590i
\(203\) −2.67303 + 5.85312i −0.187610 + 0.410808i
\(204\) 0.628433 4.37085i 0.0439991 0.306021i
\(205\) 7.78962 5.00609i 0.544051 0.349640i
\(206\) −11.1689 −0.778177
\(207\) 4.31819 2.08644i 0.300135 0.145018i
\(208\) 4.71259 0.326759
\(209\) −0.714736 + 0.459333i −0.0494393 + 0.0317727i
\(210\) −0.526297 + 3.66047i −0.0363179 + 0.252597i
\(211\) −8.38374 + 18.3578i −0.577161 + 1.26381i 0.365736 + 0.930719i \(0.380817\pi\)
−0.942896 + 0.333087i \(0.891910\pi\)
\(212\) −10.1771 + 2.98827i −0.698968 + 0.205235i
\(213\) 6.68925 + 14.6474i 0.458340 + 1.00362i
\(214\) −9.57955 11.0554i −0.654845 0.755731i
\(215\) −2.27173 15.8002i −0.154931 1.07757i
\(216\) 0.959493 + 0.281733i 0.0652852 + 0.0191695i
\(217\) 4.74650 5.47775i 0.322213 0.371854i
\(218\) 9.34653 + 6.00665i 0.633027 + 0.406822i
\(219\) −3.41576 2.19518i −0.230816 0.148336i
\(220\) −0.910657 + 1.05095i −0.0613965 + 0.0708553i
\(221\) −19.9669 5.86281i −1.34312 0.394375i
\(222\) −1.20042 8.34909i −0.0805668 0.560354i
\(223\) −2.10040 2.42400i −0.140653 0.162323i 0.681052 0.732235i \(-0.261523\pi\)
−0.821706 + 0.569912i \(0.806977\pi\)
\(224\) −0.415415 0.909632i −0.0277561 0.0607773i
\(225\) −8.32462 + 2.44433i −0.554975 + 0.162955i
\(226\) 2.96672 6.49622i 0.197343 0.432122i
\(227\) −0.201375 + 1.40059i −0.0133657 + 0.0929606i −0.995412 0.0956775i \(-0.969498\pi\)
0.982047 + 0.188638i \(0.0604073\pi\)
\(228\) 1.90073 1.22152i 0.125879 0.0808974i
\(229\) 27.4559 1.81434 0.907170 0.420765i \(-0.138238\pi\)
0.907170 + 0.420765i \(0.138238\pi\)
\(230\) −0.384815 17.7314i −0.0253739 1.16917i
\(231\) 0.376032 0.0247411
\(232\) 5.41313 3.47881i 0.355389 0.228395i
\(233\) 0.188601 1.31175i 0.0123557 0.0859357i −0.982711 0.185149i \(-0.940723\pi\)
0.995066 + 0.0992128i \(0.0316325\pi\)
\(234\) 1.95768 4.28672i 0.127978 0.280232i
\(235\) 23.7907 6.98557i 1.55193 0.455688i
\(236\) 6.06617 + 13.2831i 0.394874 + 0.864654i
\(237\) −4.94366 5.70529i −0.321125 0.370598i
\(238\) 0.628433 + 4.37085i 0.0407353 + 0.283320i
\(239\) 3.48252 + 1.02256i 0.225266 + 0.0661439i 0.392417 0.919787i \(-0.371639\pi\)
−0.167152 + 0.985931i \(0.553457\pi\)
\(240\) 2.42175 2.79485i 0.156323 0.180407i
\(241\) −18.0341 11.5898i −1.16168 0.746567i −0.189750 0.981832i \(-0.560768\pi\)
−0.971931 + 0.235265i \(0.924404\pi\)
\(242\) −9.13484 5.87060i −0.587209 0.377377i
\(243\) 0.654861 0.755750i 0.0420093 0.0484814i
\(244\) 8.66002 + 2.54281i 0.554401 + 0.162787i
\(245\) −0.526297 3.66047i −0.0336239 0.233859i
\(246\) 1.63968 + 1.89229i 0.104542 + 0.120648i
\(247\) −4.42319 9.68543i −0.281441 0.616269i
\(248\) −6.95451 + 2.04203i −0.441612 + 0.129669i
\(249\) 2.47394 5.41718i 0.156780 0.343300i
\(250\) −1.93470 + 13.4561i −0.122361 + 0.851040i
\(251\) 15.8429 10.1816i 0.999993 0.642656i 0.0652083 0.997872i \(-0.479229\pi\)
0.934784 + 0.355215i \(0.115592\pi\)
\(252\) −1.00000 −0.0629941
\(253\) −1.77904 + 0.295319i −0.111847 + 0.0185665i
\(254\) −13.5019 −0.847184
\(255\) −13.7378 + 8.82873i −0.860293 + 0.552877i
\(256\) −0.142315 + 0.989821i −0.00889468 + 0.0618638i
\(257\) 8.01355 17.5472i 0.499872 1.09457i −0.476639 0.879099i \(-0.658145\pi\)
0.976511 0.215467i \(-0.0691275\pi\)
\(258\) 4.14160 1.21608i 0.257845 0.0757100i
\(259\) 3.50400 + 7.67270i 0.217728 + 0.476758i
\(260\) −11.4127 13.1710i −0.707787 0.816829i
\(261\) −0.915739 6.36910i −0.0566828 0.394238i
\(262\) −9.16639 2.69149i −0.566301 0.166281i
\(263\) −10.4162 + 12.0209i −0.642290 + 0.741243i −0.979778 0.200087i \(-0.935877\pi\)
0.337488 + 0.941330i \(0.390423\pi\)
\(264\) −0.316339 0.203298i −0.0194693 0.0125122i
\(265\) 32.9982 + 21.2067i 2.02706 + 1.30272i
\(266\) −1.47959 + 1.70754i −0.0907197 + 0.104696i
\(267\) 4.99191 + 1.46576i 0.305500 + 0.0897028i
\(268\) −0.825340 5.74037i −0.0504157 0.350649i
\(269\) −4.44715 5.13228i −0.271147 0.312921i 0.603803 0.797134i \(-0.293651\pi\)
−0.874950 + 0.484213i \(0.839106\pi\)
\(270\) −1.53625 3.36392i −0.0934934 0.204722i
\(271\) 10.8438 3.18403i 0.658715 0.193416i 0.0647431 0.997902i \(-0.479377\pi\)
0.593972 + 0.804486i \(0.297559\pi\)
\(272\) 1.83439 4.01675i 0.111226 0.243551i
\(273\) −0.670671 + 4.66462i −0.0405909 + 0.282316i
\(274\) −6.63209 + 4.26219i −0.400659 + 0.257488i
\(275\) 3.26248 0.196735
\(276\) 4.73109 0.785355i 0.284778 0.0472728i
\(277\) −6.68398 −0.401601 −0.200801 0.979632i \(-0.564354\pi\)
−0.200801 + 0.979632i \(0.564354\pi\)
\(278\) 6.66971 4.28636i 0.400023 0.257079i
\(279\) −1.03151 + 7.17433i −0.0617551 + 0.429516i
\(280\) −1.53625 + 3.36392i −0.0918087 + 0.201033i
\(281\) 25.5357 7.49795i 1.52333 0.447290i 0.590329 0.807162i \(-0.298998\pi\)
0.933002 + 0.359872i \(0.117180\pi\)
\(282\) 2.78526 + 6.09888i 0.165860 + 0.363183i
\(283\) −1.49769 1.72843i −0.0890286 0.102745i 0.709487 0.704718i \(-0.248927\pi\)
−0.798516 + 0.601974i \(0.794381\pi\)
\(284\) 2.29164 + 15.9387i 0.135984 + 0.945786i
\(285\) −8.01707 2.35402i −0.474890 0.139440i
\(286\) −1.16047 + 1.33925i −0.0686200 + 0.0791917i
\(287\) −2.10638 1.35369i −0.124335 0.0799056i
\(288\) 0.841254 + 0.540641i 0.0495713 + 0.0318576i
\(289\) −1.63667 + 1.88881i −0.0962745 + 0.111107i
\(290\) −22.8320 6.70408i −1.34074 0.393677i
\(291\) −0.513853 3.57392i −0.0301226 0.209507i
\(292\) −2.65895 3.06859i −0.155603 0.179576i
\(293\) −1.00397 2.19839i −0.0586527 0.128431i 0.878036 0.478594i \(-0.158854\pi\)
−0.936689 + 0.350163i \(0.886126\pi\)
\(294\) 0.959493 0.281733i 0.0559588 0.0164310i
\(295\) 22.4334 49.1223i 1.30612 2.86001i
\(296\) 1.20042 8.34909i 0.0697729 0.485281i
\(297\) −0.316339 + 0.203298i −0.0183558 + 0.0117966i
\(298\) −11.0237 −0.638588
\(299\) −0.490378 22.5955i −0.0283593 1.30673i
\(300\) −8.67606 −0.500913
\(301\) −3.63122 + 2.33364i −0.209300 + 0.134509i
\(302\) −0.0349335 + 0.242968i −0.00201020 + 0.0139812i
\(303\) 1.39904 3.06348i 0.0803729 0.175992i
\(304\) 2.16788 0.636547i 0.124336 0.0365085i
\(305\) −13.8656 30.3615i −0.793944 1.73850i
\(306\) −2.89173 3.33724i −0.165309 0.190777i
\(307\) −0.554936 3.85967i −0.0316719 0.220283i 0.967838 0.251572i \(-0.0809477\pi\)
−0.999510 + 0.0312896i \(0.990039\pi\)
\(308\) 0.360800 + 0.105941i 0.0205585 + 0.00603652i
\(309\) −7.31410 + 8.44092i −0.416084 + 0.480187i
\(310\) 22.5492 + 14.4915i 1.28071 + 0.823063i
\(311\) 6.88675 + 4.42585i 0.390512 + 0.250967i 0.721133 0.692797i \(-0.243622\pi\)
−0.330621 + 0.943764i \(0.607258\pi\)
\(312\) 3.08609 3.56154i 0.174715 0.201632i
\(313\) 7.67276 + 2.25292i 0.433690 + 0.127343i 0.491288 0.870997i \(-0.336526\pi\)
−0.0575985 + 0.998340i \(0.518344\pi\)
\(314\) 3.22486 + 22.4294i 0.181989 + 1.26576i
\(315\) 2.42175 + 2.79485i 0.136450 + 0.157472i
\(316\) −3.13604 6.86698i −0.176416 0.386298i
\(317\) 10.3632 3.04290i 0.582053 0.170906i 0.0225658 0.999745i \(-0.492816\pi\)
0.559487 + 0.828839i \(0.310998\pi\)
\(318\) −4.40621 + 9.64826i −0.247088 + 0.541047i
\(319\) −0.344347 + 2.39499i −0.0192798 + 0.134094i
\(320\) 3.11105 1.99935i 0.173913 0.111767i
\(321\) −14.6284 −0.816476
\(322\) −4.31819 + 2.08644i −0.240643 + 0.116273i
\(323\) −9.97706 −0.555138
\(324\) 0.841254 0.540641i 0.0467363 0.0300356i
\(325\) −5.81879 + 40.4705i −0.322768 + 2.24490i
\(326\) 4.26787 9.34534i 0.236376 0.517590i
\(327\) 10.6602 3.13012i 0.589510 0.173096i
\(328\) 1.04014 + 2.27759i 0.0574321 + 0.125759i
\(329\) −4.39069 5.06713i −0.242067 0.279360i
\(330\) 0.197905 + 1.37646i 0.0108943 + 0.0757715i
\(331\) −1.87037 0.549190i −0.102805 0.0301862i 0.229926 0.973208i \(-0.426152\pi\)
−0.332730 + 0.943022i \(0.607970\pi\)
\(332\) 3.89993 4.50075i 0.214036 0.247011i
\(333\) −7.09593 4.56028i −0.388855 0.249902i
\(334\) −5.52585 3.55125i −0.302361 0.194316i
\(335\) −14.0447 + 16.2084i −0.767344 + 0.885562i
\(336\) −0.959493 0.281733i −0.0523446 0.0153698i
\(337\) 4.92676 + 34.2664i 0.268378 + 1.86661i 0.463869 + 0.885904i \(0.346461\pi\)
−0.195491 + 0.980706i \(0.562630\pi\)
\(338\) −6.03028 6.95932i −0.328004 0.378537i
\(339\) −2.96672 6.49622i −0.161130 0.352826i
\(340\) −15.6686 + 4.60073i −0.849751 + 0.249510i
\(341\) 1.13222 2.47922i 0.0613133 0.134257i
\(342\) 0.321546 2.23640i 0.0173872 0.120931i
\(343\) −0.841254 + 0.540641i −0.0454234 + 0.0291919i
\(344\) 4.31644 0.232727
\(345\) −13.6525 11.3208i −0.735024 0.609489i
\(346\) 5.36909 0.288644
\(347\) −9.26258 + 5.95270i −0.497242 + 0.319558i −0.765112 0.643897i \(-0.777316\pi\)
0.267870 + 0.963455i \(0.413680\pi\)
\(348\) 0.915739 6.36910i 0.0490887 0.341420i
\(349\) 0.588466 1.28856i 0.0314999 0.0689751i −0.893228 0.449604i \(-0.851565\pi\)
0.924728 + 0.380629i \(0.124292\pi\)
\(350\) 8.32462 2.44433i 0.444970 0.130655i
\(351\) −1.95768 4.28672i −0.104493 0.228808i
\(352\) −0.246249 0.284186i −0.0131251 0.0151472i
\(353\) 0.884216 + 6.14986i 0.0470621 + 0.327324i 0.999728 + 0.0233059i \(0.00741918\pi\)
−0.952666 + 0.304018i \(0.901672\pi\)
\(354\) 14.0112 + 4.11405i 0.744685 + 0.218659i
\(355\) 38.9964 45.0043i 2.06972 2.38858i
\(356\) 4.37675 + 2.81276i 0.231967 + 0.149076i
\(357\) 3.71480 + 2.38736i 0.196608 + 0.126352i
\(358\) 16.8821 19.4830i 0.892248 1.02971i
\(359\) 13.8179 + 4.05731i 0.729283 + 0.214137i 0.625236 0.780436i \(-0.285003\pi\)
0.104047 + 0.994572i \(0.466821\pi\)
\(360\) −0.526297 3.66047i −0.0277383 0.192924i
\(361\) 9.09936 + 10.5012i 0.478914 + 0.552696i
\(362\) 9.15760 + 20.0523i 0.481313 + 1.05393i
\(363\) −10.4188 + 3.05922i −0.546843 + 0.160567i
\(364\) −1.95768 + 4.28672i −0.102610 + 0.224685i
\(365\) −2.13694 + 14.8627i −0.111852 + 0.777950i
\(366\) 7.59284 4.87962i 0.396884 0.255062i
\(367\) 28.1412 1.46896 0.734480 0.678630i \(-0.237426\pi\)
0.734480 + 0.678630i \(0.237426\pi\)
\(368\) 4.76071 + 0.579359i 0.248169 + 0.0302012i
\(369\) 2.50385 0.130345
\(370\) −26.2416 + 16.8644i −1.36423 + 0.876740i
\(371\) 1.50950 10.4988i 0.0783694 0.545071i
\(372\) −3.01097 + 6.59311i −0.156112 + 0.341837i
\(373\) 0.0692942 0.0203466i 0.00358792 0.00105351i −0.279938 0.960018i \(-0.590314\pi\)
0.283526 + 0.958965i \(0.408496\pi\)
\(374\) 0.689789 + 1.51043i 0.0356682 + 0.0781024i
\(375\) 8.90250 + 10.2740i 0.459723 + 0.530549i
\(376\) 0.954189 + 6.63653i 0.0492085 + 0.342253i
\(377\) −29.0953 8.54315i −1.49848 0.439995i
\(378\) −0.654861 + 0.755750i −0.0336824 + 0.0388716i
\(379\) 0.283602 + 0.182260i 0.0145677 + 0.00936207i 0.547904 0.836541i \(-0.315426\pi\)
−0.533337 + 0.845903i \(0.679062\pi\)
\(380\) −7.02912 4.51734i −0.360586 0.231735i
\(381\) −8.84186 + 10.2041i −0.452982 + 0.522769i
\(382\) 22.1912 + 6.51591i 1.13540 + 0.333383i
\(383\) 3.02510 + 21.0400i 0.154575 + 1.07509i 0.908425 + 0.418048i \(0.137285\pi\)
−0.753850 + 0.657047i \(0.771805\pi\)
\(384\) 0.654861 + 0.755750i 0.0334182 + 0.0385667i
\(385\) −0.577681 1.26494i −0.0294413 0.0644675i
\(386\) −2.59189 + 0.761049i −0.131924 + 0.0387364i
\(387\) 1.79311 3.92637i 0.0911492 0.199589i
\(388\) 0.513853 3.57392i 0.0260869 0.181438i
\(389\) 18.1409 11.6584i 0.919780 0.591106i 0.00718595 0.999974i \(-0.497713\pi\)
0.912594 + 0.408868i \(0.134076\pi\)
\(390\) −17.4277 −0.882486
\(391\) −19.4500 8.37737i −0.983629 0.423662i
\(392\) 1.00000 0.0505076
\(393\) −8.03680 + 5.16494i −0.405403 + 0.260537i
\(394\) −3.45248 + 24.0125i −0.173933 + 1.20973i
\(395\) −11.5975 + 25.3949i −0.583531 + 1.27775i
\(396\) −0.360800 + 0.105941i −0.0181309 + 0.00532371i
\(397\) −3.45929 7.57479i −0.173617 0.380168i 0.802741 0.596328i \(-0.203374\pi\)
−0.976358 + 0.216160i \(0.930647\pi\)
\(398\) −3.25234 3.75340i −0.163025 0.188141i
\(399\) 0.321546 + 2.23640i 0.0160975 + 0.111960i
\(400\) −8.32462 2.44433i −0.416231 0.122216i
\(401\) −15.4205 + 17.7962i −0.770064 + 0.888701i −0.996350 0.0853597i \(-0.972796\pi\)
0.226286 + 0.974061i \(0.427342\pi\)
\(402\) −4.87876 3.13539i −0.243331 0.156379i
\(403\) 28.7350 + 18.4669i 1.43139 + 0.919900i
\(404\) 2.20545 2.54523i 0.109725 0.126630i
\(405\) −3.54832 1.04188i −0.176317 0.0517714i
\(406\) 0.915739 + 6.36910i 0.0454473 + 0.316093i
\(407\) 2.07710 + 2.39710i 0.102958 + 0.118820i
\(408\) −1.83439 4.01675i −0.0908157 0.198859i
\(409\) −11.6643 + 3.42495i −0.576763 + 0.169353i −0.557088 0.830453i \(-0.688081\pi\)
−0.0196753 + 0.999806i \(0.506263\pi\)
\(410\) 3.84655 8.42278i 0.189968 0.415971i
\(411\) −1.12195 + 7.80334i −0.0553418 + 0.384910i
\(412\) −9.39591 + 6.03838i −0.462903 + 0.297490i
\(413\) −14.6027 −0.718551
\(414\) 2.50467 4.08982i 0.123098 0.201004i
\(415\) −22.0236 −1.08109
\(416\) 3.96448 2.54782i 0.194375 0.124917i
\(417\) 1.12832 7.84761i 0.0552538 0.384299i
\(418\) −0.352940 + 0.772831i −0.0172629 + 0.0378004i
\(419\) 15.8816 4.66327i 0.775868 0.227815i 0.130255 0.991480i \(-0.458420\pi\)
0.645613 + 0.763665i \(0.276602\pi\)
\(420\) 1.53625 + 3.36392i 0.0749615 + 0.164143i
\(421\) 7.23502 + 8.34966i 0.352614 + 0.406938i 0.904151 0.427212i \(-0.140504\pi\)
−0.551538 + 0.834150i \(0.685959\pi\)
\(422\) 2.87214 + 19.9762i 0.139814 + 0.972425i
\(423\) 6.43319 + 1.88895i 0.312792 + 0.0918441i
\(424\) −6.94596 + 8.01606i −0.337326 + 0.389294i
\(425\) 32.2299 + 20.7129i 1.56338 + 1.00472i
\(426\) 13.5463 + 8.70571i 0.656323 + 0.421793i
\(427\) −5.91053 + 6.82111i −0.286030 + 0.330097i
\(428\) −14.0358 4.12129i −0.678447 0.199210i
\(429\) 0.252194 + 1.75405i 0.0121760 + 0.0846863i
\(430\) −10.4533 12.0638i −0.504105 0.581768i
\(431\) −4.05462 8.87839i −0.195304 0.427657i 0.786490 0.617603i \(-0.211896\pi\)
−0.981795 + 0.189946i \(0.939169\pi\)
\(432\) 0.959493 0.281733i 0.0461636 0.0135549i
\(433\) −7.30253 + 15.9903i −0.350937 + 0.768445i 0.649033 + 0.760760i \(0.275174\pi\)
−0.999970 + 0.00768529i \(0.997554\pi\)
\(434\) 1.03151 7.17433i 0.0495142 0.344379i
\(435\) −20.0184 + 12.8650i −0.959808 + 0.616831i
\(436\) 11.1102 0.532084
\(437\) −3.27764 10.3281i −0.156791 0.494060i
\(438\) −4.06033 −0.194010
\(439\) 10.9002 7.00512i 0.520237 0.334336i −0.254029 0.967197i \(-0.581756\pi\)
0.774266 + 0.632861i \(0.218119\pi\)
\(440\) −0.197905 + 1.37646i −0.00943473 + 0.0656200i
\(441\) 0.415415 0.909632i 0.0197817 0.0433158i
\(442\) −19.9669 + 5.86281i −0.949728 + 0.278865i
\(443\) 16.9148 + 37.0384i 0.803649 + 1.75975i 0.632594 + 0.774484i \(0.281990\pi\)
0.171055 + 0.985262i \(0.445282\pi\)
\(444\) −5.52372 6.37471i −0.262144 0.302530i
\(445\) −2.73814 19.0442i −0.129800 0.902780i
\(446\) −3.07748 0.903631i −0.145723 0.0427882i
\(447\) −7.21902 + 8.33119i −0.341448 + 0.394052i
\(448\) −0.841254 0.540641i −0.0397455 0.0255429i
\(449\) 24.4458 + 15.7104i 1.15367 + 0.741419i 0.970367 0.241637i \(-0.0776843\pi\)
0.183304 + 0.983056i \(0.441321\pi\)
\(450\) −5.68161 + 6.55693i −0.267834 + 0.309097i
\(451\) −0.903392 0.265260i −0.0425391 0.0124906i
\(452\) −1.01635 7.06890i −0.0478053 0.332493i
\(453\) 0.160746 + 0.185511i 0.00755252 + 0.00871607i
\(454\) 0.587810 + 1.28712i 0.0275873 + 0.0604078i
\(455\) 16.7218 4.90995i 0.783928 0.230182i
\(456\) 0.938589 2.05522i 0.0439535 0.0962447i
\(457\) 3.39411 23.6065i 0.158770 1.10427i −0.742135 0.670250i \(-0.766187\pi\)
0.900905 0.434017i \(-0.142904\pi\)
\(458\) 23.0974 14.8438i 1.07927 0.693605i
\(459\) −4.41580 −0.206112
\(460\) −9.91003 14.7085i −0.462057 0.685789i
\(461\) 21.7176 1.01149 0.505746 0.862683i \(-0.331217\pi\)
0.505746 + 0.862683i \(0.331217\pi\)
\(462\) 0.316339 0.203298i 0.0147174 0.00945830i
\(463\) −0.355805 + 2.47468i −0.0165357 + 0.115008i −0.996417 0.0845705i \(-0.973048\pi\)
0.979882 + 0.199578i \(0.0639573\pi\)
\(464\) 2.67303 5.85312i 0.124092 0.271724i
\(465\) 25.7186 7.55165i 1.19267 0.350200i
\(466\) −0.550525 1.20548i −0.0255026 0.0558429i
\(467\) 27.8379 + 32.1266i 1.28818 + 1.48664i 0.780588 + 0.625046i \(0.214920\pi\)
0.507595 + 0.861596i \(0.330535\pi\)
\(468\) −0.670671 4.66462i −0.0310018 0.215622i
\(469\) 5.56448 + 1.63388i 0.256944 + 0.0754455i
\(470\) 16.2373 18.7388i 0.748971 0.864358i
\(471\) 19.0628 + 12.2509i 0.878369 + 0.564493i
\(472\) 12.2846 + 7.89481i 0.565443 + 0.363388i
\(473\) −1.06292 + 1.22667i −0.0488731 + 0.0564025i
\(474\) −7.24339 2.12685i −0.332700 0.0976895i
\(475\) 2.78976 + 19.4032i 0.128003 + 0.890279i
\(476\) 2.89173 + 3.33724i 0.132542 + 0.152962i
\(477\) 4.40621 + 9.64826i 0.201747 + 0.441763i
\(478\) 3.48252 1.02256i 0.159287 0.0467708i
\(479\) 5.80254 12.7058i 0.265125 0.580543i −0.729512 0.683968i \(-0.760253\pi\)
0.994637 + 0.103425i \(0.0329802\pi\)
\(480\) 0.526297 3.66047i 0.0240221 0.167077i
\(481\) −33.4402 + 21.4907i −1.52474 + 0.979892i
\(482\) −21.4372 −0.976439
\(483\) −1.25098 + 4.62980i −0.0569216 + 0.210663i
\(484\) −10.8586 −0.493573
\(485\) −11.2330 + 7.21901i −0.510064 + 0.327798i
\(486\) 0.142315 0.989821i 0.00645553 0.0448992i
\(487\) −4.02804 + 8.82019i −0.182528 + 0.399681i −0.978673 0.205426i \(-0.934142\pi\)
0.796145 + 0.605106i \(0.206869\pi\)
\(488\) 8.66002 2.54281i 0.392021 0.115108i
\(489\) −4.26787 9.34534i −0.193000 0.422611i
\(490\) −2.42175 2.79485i −0.109404 0.126258i
\(491\) −3.97349 27.6362i −0.179321 1.24721i −0.858339 0.513084i \(-0.828503\pi\)
0.679018 0.734122i \(-0.262406\pi\)
\(492\) 2.40243 + 0.705417i 0.108310 + 0.0318027i
\(493\) −18.6071 + 21.4738i −0.838023 + 0.967130i
\(494\) −8.95736 5.75654i −0.403011 0.258999i
\(495\) 1.16986 + 0.751821i 0.0525811 + 0.0337919i
\(496\) −4.74650 + 5.47775i −0.213124 + 0.245958i
\(497\) −15.4503 4.53662i −0.693041 0.203495i
\(498\) −0.847535 5.89473i −0.0379789 0.264149i
\(499\) 7.37718 + 8.51372i 0.330248 + 0.381127i 0.896454 0.443137i \(-0.146135\pi\)
−0.566206 + 0.824264i \(0.691589\pi\)
\(500\) 5.64736 + 12.3660i 0.252558 + 0.553024i
\(501\) −6.30251 + 1.85058i −0.281575 + 0.0826780i
\(502\) 7.82328 17.1306i 0.349170 0.764576i
\(503\) 3.00256 20.8833i 0.133878 0.931140i −0.806555 0.591159i \(-0.798670\pi\)
0.940433 0.339980i \(-0.110420\pi\)
\(504\) −0.841254 + 0.540641i −0.0374724 + 0.0240821i
\(505\) −12.4546 −0.554222
\(506\) −1.33696 + 1.21026i −0.0594353 + 0.0538027i
\(507\) −9.20850 −0.408964
\(508\) −11.3585 + 7.29967i −0.503953 + 0.323871i
\(509\) −2.38898 + 16.6157i −0.105890 + 0.736479i 0.865829 + 0.500339i \(0.166791\pi\)
−0.971719 + 0.236140i \(0.924118\pi\)
\(510\) −6.78378 + 14.8544i −0.300391 + 0.657764i
\(511\) 3.89585 1.14393i 0.172342 0.0506043i
\(512\) 0.415415 + 0.909632i 0.0183589 + 0.0402004i
\(513\) −1.47959 1.70754i −0.0653256 0.0753898i
\(514\) −2.74532 19.0941i −0.121091 0.842206i
\(515\) 39.6309 + 11.6367i 1.74635 + 0.512774i
\(516\) 2.82667 3.26215i 0.124437 0.143608i
\(517\) −2.12098 1.36307i −0.0932806 0.0599478i
\(518\) 7.09593 + 4.56028i 0.311777 + 0.200367i
\(519\) 3.51601 4.05769i 0.154336 0.178113i
\(520\) −16.7218 4.90995i −0.733298 0.215316i
\(521\) −3.73301 25.9636i −0.163546 1.13749i −0.891882 0.452268i \(-0.850615\pi\)
0.728336 0.685220i \(-0.240294\pi\)
\(522\) −4.21377 4.86294i −0.184431 0.212845i
\(523\) −10.2788 22.5073i −0.449459 0.984177i −0.989765 0.142709i \(-0.954419\pi\)
0.540306 0.841469i \(-0.318308\pi\)
\(524\) −9.16639 + 2.69149i −0.400436 + 0.117578i
\(525\) 3.60417 7.89202i 0.157299 0.344436i
\(526\) −2.26366 + 15.7441i −0.0987001 + 0.686474i
\(527\) 26.9253 17.3038i 1.17288 0.753767i
\(528\) −0.376032 −0.0163647
\(529\) 2.28247 22.8865i 0.0992379 0.995064i
\(530\) 39.2251 1.70383
\(531\) 12.2846 7.89481i 0.533104 0.342605i
\(532\) −0.321546 + 2.23640i −0.0139408 + 0.0969604i
\(533\) 4.90175 10.7333i 0.212318 0.464912i
\(534\) 4.99191 1.46576i 0.216021 0.0634295i
\(535\) 22.4729 + 49.2088i 0.971588 + 2.12748i
\(536\) −3.79780 4.38289i −0.164040 0.189312i
\(537\) −3.66883 25.5173i −0.158322 1.10115i
\(538\) −6.51590 1.91324i −0.280920 0.0824856i
\(539\) −0.246249 + 0.284186i −0.0106067 + 0.0122408i
\(540\) −3.11105 1.99935i −0.133878 0.0860384i
\(541\) −1.46514 0.941586i −0.0629911 0.0404820i 0.508766 0.860905i \(-0.330102\pi\)
−0.571757 + 0.820423i \(0.693738\pi\)
\(542\) 7.40098 8.54119i 0.317899 0.366875i
\(543\) 21.1515 + 6.21064i 0.907698 + 0.266524i
\(544\) −0.628433 4.37085i −0.0269439 0.187399i
\(545\) −26.9062 31.0515i −1.15254 1.33010i
\(546\) 1.95768 + 4.28672i 0.0837810 + 0.183455i
\(547\) −20.9109 + 6.13999i −0.894085 + 0.262527i −0.696328 0.717724i \(-0.745184\pi\)
−0.197757 + 0.980251i \(0.563366\pi\)
\(548\) −3.27496 + 7.17116i −0.139899 + 0.306337i
\(549\) 1.28448 8.93376i 0.0548203 0.381283i
\(550\) 2.74457 1.76383i 0.117029 0.0752100i
\(551\) −14.5383 −0.619354
\(552\) 3.55545 3.21850i 0.151330 0.136989i
\(553\) 7.54918 0.321024
\(554\) −5.62292 + 3.61363i −0.238895 + 0.153529i
\(555\) −4.43929 + 30.8759i −0.188437 + 1.31061i
\(556\) 3.29354 7.21184i 0.139677 0.305850i
\(557\) −39.3121 + 11.5431i −1.66571 + 0.489096i −0.972745 0.231878i \(-0.925513\pi\)
−0.692962 + 0.720974i \(0.743695\pi\)
\(558\) 3.01097 + 6.59311i 0.127465 + 0.279109i
\(559\) −13.3209 15.3732i −0.563415 0.650216i
\(560\) 0.526297 + 3.66047i 0.0222401 + 0.154683i
\(561\) 1.59322 + 0.467812i 0.0672659 + 0.0197510i
\(562\) 17.4283 20.1133i 0.735168 0.848429i
\(563\) −12.3508 7.93735i −0.520523 0.334520i 0.253856 0.967242i \(-0.418301\pi\)
−0.774379 + 0.632722i \(0.781937\pi\)
\(564\) 5.64042 + 3.62488i 0.237504 + 0.152635i
\(565\) −17.2951 + 19.9597i −0.727612 + 0.839709i
\(566\) −2.19440 0.644334i −0.0922375 0.0270834i
\(567\) 0.142315 + 0.989821i 0.00597666 + 0.0415686i
\(568\) 10.5449 + 12.1695i 0.442456 + 0.510621i
\(569\) 14.7532 + 32.3051i 0.618487 + 1.35430i 0.916614 + 0.399772i \(0.130911\pi\)
−0.298127 + 0.954526i \(0.596362\pi\)
\(570\) −8.01707 + 2.35402i −0.335798 + 0.0985992i
\(571\) 14.1894 31.0705i 0.593809 1.30026i −0.339303 0.940677i \(-0.610191\pi\)
0.933113 0.359584i \(-0.117081\pi\)
\(572\) −0.252194 + 1.75405i −0.0105448 + 0.0733405i
\(573\) 19.4565 12.5039i 0.812808 0.522360i
\(574\) −2.50385 −0.104509
\(575\) −10.8536 + 40.1684i −0.452626 + 1.67514i
\(576\) 1.00000 0.0416667
\(577\) −9.90152 + 6.36332i −0.412205 + 0.264908i −0.730267 0.683162i \(-0.760604\pi\)
0.318062 + 0.948070i \(0.396968\pi\)
\(578\) −0.355681 + 2.47382i −0.0147944 + 0.102897i
\(579\) −1.12217 + 2.45720i −0.0466357 + 0.102118i
\(580\) −22.8320 + 6.70408i −0.948047 + 0.278372i
\(581\) 2.47394 + 5.41718i 0.102636 + 0.224742i
\(582\) −2.36449 2.72877i −0.0980112 0.113111i
\(583\) −0.567621 3.94789i −0.0235085 0.163505i
\(584\) −3.89585 1.14393i −0.161212 0.0473360i
\(585\) −11.4127 + 13.1710i −0.471858 + 0.544553i
\(586\) −2.03313 1.30662i −0.0839880 0.0539758i
\(587\) 11.2844 + 7.25207i 0.465759 + 0.299325i 0.752392 0.658715i \(-0.228900\pi\)
−0.286633 + 0.958040i \(0.592536\pi\)
\(588\) 0.654861 0.755750i 0.0270060 0.0311666i
\(589\) 15.7130 + 4.61376i 0.647444 + 0.190107i
\(590\) −7.68534 53.4527i −0.316401 2.20061i
\(591\) 15.8866 + 18.3341i 0.653486 + 0.754163i
\(592\) −3.50400 7.67270i −0.144014 0.315346i
\(593\) 17.7288 5.20563i 0.728033 0.213770i 0.103346 0.994645i \(-0.467045\pi\)
0.624687 + 0.780876i \(0.285227\pi\)
\(594\) −0.156209 + 0.342051i −0.00640935 + 0.0140345i
\(595\) 2.32402 16.1639i 0.0952755 0.662656i
\(596\) −9.27376 + 5.95988i −0.379868 + 0.244126i
\(597\) −4.96647 −0.203264
\(598\) −12.6286 18.7434i −0.516420 0.766474i
\(599\) 6.23252 0.254654 0.127327 0.991861i \(-0.459360\pi\)
0.127327 + 0.991861i \(0.459360\pi\)
\(600\) −7.29877 + 4.69063i −0.297971 + 0.191494i
\(601\) 3.42697 23.8351i 0.139789 0.972254i −0.792328 0.610096i \(-0.791131\pi\)
0.932117 0.362158i \(-0.117960\pi\)
\(602\) −1.79311 + 3.92637i −0.0730819 + 0.160027i
\(603\) −5.56448 + 1.63388i −0.226603 + 0.0665367i
\(604\) 0.101970 + 0.223284i 0.00414912 + 0.00908530i
\(605\) 26.2968 + 30.3482i 1.06912 + 1.23383i
\(606\) −0.479291 3.33354i −0.0194699 0.135416i
\(607\) −29.3237 8.61022i −1.19021 0.349478i −0.374110 0.927384i \(-0.622052\pi\)
−0.816103 + 0.577906i \(0.803870\pi\)
\(608\) 1.47959 1.70754i 0.0600054 0.0692500i
\(609\) 5.41313 + 3.47881i 0.219351 + 0.140968i
\(610\) −28.0792 18.0454i −1.13689 0.730637i
\(611\) 20.6915 23.8793i 0.837090 0.966054i
\(612\) −4.23693 1.24407i −0.171268 0.0502887i
\(613\) 1.04239 + 7.24996i 0.0421016 + 0.292823i 0.999984 + 0.00566223i \(0.00180235\pi\)
−0.957882 + 0.287161i \(0.907289\pi\)
\(614\) −2.55354 2.94694i −0.103052 0.118929i
\(615\) −3.84655 8.42278i −0.155108 0.339639i
\(616\) 0.360800 0.105941i 0.0145371 0.00426847i
\(617\) −2.66583 + 5.83734i −0.107322 + 0.235003i −0.955672 0.294433i \(-0.904869\pi\)
0.848350 + 0.529436i \(0.177596\pi\)
\(618\) −1.58951 + 11.0553i −0.0639393 + 0.444707i
\(619\) −9.78474 + 6.28827i −0.393282 + 0.252747i −0.722305 0.691575i \(-0.756917\pi\)
0.329023 + 0.944322i \(0.393281\pi\)
\(620\) 26.8043 1.07649
\(621\) −1.45067 4.57117i −0.0582132 0.183435i
\(622\) 8.18630 0.328241
\(623\) −4.37675 + 2.81276i −0.175351 + 0.112691i
\(624\) 0.670671 4.66462i 0.0268483 0.186734i
\(625\) 2.86376 6.27075i 0.114550 0.250830i
\(626\) 7.67276 2.25292i 0.306665 0.0900450i
\(627\) 0.352940 + 0.772831i 0.0140951 + 0.0308639i
\(628\) 14.8392 + 17.1253i 0.592147 + 0.683374i
\(629\) 5.30080 + 36.8679i 0.211357 + 1.47002i
\(630\) 3.54832 + 1.04188i 0.141368 + 0.0415095i
\(631\) −15.5274 + 17.9196i −0.618138 + 0.713369i −0.975352 0.220653i \(-0.929181\pi\)
0.357214 + 0.934022i \(0.383727\pi\)
\(632\) −6.35078 4.08140i −0.252620 0.162349i
\(633\) 16.9778 + 10.9110i 0.674809 + 0.433673i
\(634\) 7.07292 8.16259i 0.280902 0.324178i
\(635\) 47.9090 + 14.0673i 1.90121 + 0.558246i
\(636\) 1.50950 + 10.4988i 0.0598556 + 0.416305i
\(637\) −3.08609 3.56154i −0.122275 0.141113i
\(638\) 1.00515 + 2.20096i 0.0397941 + 0.0871369i
\(639\) 15.4503 4.53662i 0.611205 0.179466i
\(640\) 1.53625 3.36392i 0.0607257 0.132971i
\(641\) 7.12692 49.5688i 0.281497 1.95785i −0.00571383 0.999984i \(-0.501819\pi\)
0.287210 0.957868i \(-0.407272\pi\)
\(642\) −12.3062 + 7.90870i −0.485686 + 0.312131i
\(643\) 11.6913 0.461059 0.230530 0.973065i \(-0.425954\pi\)
0.230530 + 0.973065i \(0.425954\pi\)
\(644\) −2.50467 + 4.08982i −0.0986980 + 0.161161i
\(645\) −15.9627 −0.628531
\(646\) −8.39323 + 5.39400i −0.330227 + 0.212224i
\(647\) −1.64410 + 11.4350i −0.0646363 + 0.449556i 0.931643 + 0.363375i \(0.118375\pi\)
−0.996279 + 0.0861811i \(0.972534\pi\)
\(648\) 0.415415 0.909632i 0.0163190 0.0357337i
\(649\) −5.26865 + 1.54702i −0.206813 + 0.0607257i
\(650\) 16.9850 + 37.1919i 0.666205 + 1.45878i
\(651\) −4.74650 5.47775i −0.186030 0.214690i
\(652\) −1.46211 10.1692i −0.0572606 0.398256i
\(653\) −45.1683 13.2626i −1.76757 0.519006i −0.774099 0.633065i \(-0.781797\pi\)
−0.993474 + 0.114059i \(0.963615\pi\)
\(654\) 7.27566 8.39656i 0.284501 0.328332i
\(655\) 29.7210 + 19.1005i 1.16130 + 0.746320i
\(656\) 2.10638 + 1.35369i 0.0822402 + 0.0528526i
\(657\) −2.65895 + 3.06859i −0.103735 + 0.119717i
\(658\) −6.43319 1.88895i −0.250792 0.0736391i
\(659\) 5.36739 + 37.3310i 0.209084 + 1.45421i 0.776155 + 0.630542i \(0.217167\pi\)
−0.567072 + 0.823668i \(0.691924\pi\)
\(660\) 0.910657 + 1.05095i 0.0354473 + 0.0409083i
\(661\) −2.72724 5.97183i −0.106077 0.232277i 0.849149 0.528154i \(-0.177116\pi\)
−0.955226 + 0.295877i \(0.904388\pi\)
\(662\) −1.87037 + 0.549190i −0.0726940 + 0.0213449i
\(663\) −8.64472 + 18.9293i −0.335733 + 0.735153i
\(664\) 0.847535 5.89473i 0.0328907 0.228760i
\(665\) 7.02912 4.51734i 0.272577 0.175175i
\(666\) −8.43495 −0.326848
\(667\) −28.3421 12.2073i −1.09741 0.472669i
\(668\) −6.56859 −0.254146
\(669\) −2.69824 + 1.73405i −0.104320 + 0.0670424i
\(670\) −3.05220 + 21.2285i −0.117917 + 0.820130i
\(671\) −1.40989 + 3.08722i −0.0544281 + 0.119181i
\(672\) −0.959493 + 0.281733i −0.0370132 + 0.0108681i
\(673\) 19.5291 + 42.7627i 0.752790 + 1.64838i 0.761285 + 0.648417i \(0.224569\pi\)
−0.00849474 + 0.999964i \(0.502704\pi\)
\(674\) 22.6705 + 26.1631i 0.873234 + 1.00777i
\(675\) 1.23473 + 8.58775i 0.0475249 + 0.330543i
\(676\) −8.83549 2.59433i −0.339827 0.0997821i
\(677\) −14.9097 + 17.2067i −0.573026 + 0.661307i −0.966090 0.258204i \(-0.916869\pi\)
0.393065 + 0.919511i \(0.371415\pi\)
\(678\) −6.00789 3.86103i −0.230731 0.148282i
\(679\) 3.03749 + 1.95208i 0.116568 + 0.0749139i
\(680\) −10.6940 + 12.3415i −0.410095 + 0.473274i
\(681\) 1.35768 + 0.398650i 0.0520263 + 0.0152763i
\(682\) −0.387882 2.69778i −0.0148528 0.103303i
\(683\) −20.1741 23.2821i −0.771939 0.890865i 0.224561 0.974460i \(-0.427905\pi\)
−0.996500 + 0.0835949i \(0.973360\pi\)
\(684\) −0.938589 2.05522i −0.0358879 0.0785834i
\(685\) 27.9735 8.21375i 1.06881 0.313831i
\(686\) −0.415415 + 0.909632i −0.0158606 + 0.0347299i
\(687\) 3.90739 27.1765i 0.149076 1.03685i
\(688\) 3.63122 2.33364i 0.138439 0.0889694i
\(689\) 49.9854 1.90429
\(690\) −17.6057 2.14254i −0.670236 0.0815650i
\(691\) −45.5989 −1.73466 −0.867332 0.497730i \(-0.834167\pi\)
−0.867332 + 0.497730i \(0.834167\pi\)
\(692\) 4.51677 2.90275i 0.171702 0.110346i
\(693\) 0.0535150 0.372205i 0.00203287 0.0141389i
\(694\) −4.57391 + 10.0155i −0.173623 + 0.380182i
\(695\) −28.1321 + 8.26034i −1.06711 + 0.313332i
\(696\) −2.67303 5.85312i −0.101321 0.221862i
\(697\) −7.24048 8.35595i −0.274253 0.316504i
\(698\) −0.201600 1.40216i −0.00763066 0.0530724i
\(699\) −1.27156 0.373363i −0.0480948 0.0141219i
\(700\) 5.68161 6.55693i 0.214745 0.247829i
\(701\) 30.7142 + 19.7388i 1.16006 + 0.745524i 0.971617 0.236560i \(-0.0760200\pi\)
0.188442 + 0.982084i \(0.439656\pi\)
\(702\) −3.96448 2.54782i −0.149630 0.0961612i
\(703\) −12.4803 + 14.4030i −0.470703 + 0.543220i
\(704\) −0.360800 0.105941i −0.0135982 0.00399279i
\(705\) −3.52870 24.5427i −0.132899 0.924330i
\(706\) 4.06871 + 4.69555i 0.153128 + 0.176719i
\(707\) 1.39904 + 3.06348i 0.0526164 + 0.115214i
\(708\) 14.0112 4.11405i 0.526572 0.154616i
\(709\) −6.99667 + 15.3206i −0.262765 + 0.575376i −0.994323 0.106404i \(-0.966066\pi\)
0.731558 + 0.681780i \(0.238794\pi\)
\(710\) 8.47473 58.9431i 0.318051 2.21209i
\(711\) −6.35078 + 4.08140i −0.238173 + 0.153064i
\(712\) 5.20265 0.194978
\(713\) 26.7581 + 22.1881i 1.00210 + 0.830949i
\(714\) 4.41580 0.165257
\(715\) 5.51305 3.54302i 0.206177 0.132502i
\(716\) 3.66883 25.5173i 0.137111 0.953627i
\(717\) 1.50777 3.30155i 0.0563086 0.123299i
\(718\) 13.8179 4.05731i 0.515681 0.151418i
\(719\) 4.46996 + 9.78785i 0.166701 + 0.365025i 0.974485 0.224455i \(-0.0720600\pi\)
−0.807783 + 0.589480i \(0.799333\pi\)
\(720\) −2.42175 2.79485i −0.0902533 0.104158i
\(721\) −1.58951 11.0553i −0.0591963 0.411719i
\(722\) 13.3323 + 3.91470i 0.496175 + 0.145690i
\(723\) −14.0384 + 16.2012i −0.522094 + 0.602528i
\(724\) 18.5450 + 11.9181i 0.689218 + 0.442934i
\(725\) 46.9646 + 30.1823i 1.74422 + 1.12094i
\(726\) −7.11087 + 8.20638i −0.263909 + 0.304567i
\(727\) −19.9403 5.85499i −0.739543 0.217149i −0.109801 0.993954i \(-0.535021\pi\)
−0.629742 + 0.776804i \(0.716839\pi\)
\(728\) 0.670671 + 4.66462i 0.0248567 + 0.172882i
\(729\) −0.654861 0.755750i −0.0242541 0.0279907i
\(730\) 6.23769 + 13.6586i 0.230867 + 0.505529i
\(731\) −18.2884 + 5.36997i −0.676423 + 0.198616i
\(732\) 3.74938 8.21000i 0.138581 0.303450i
\(733\) 2.04338 14.2120i 0.0754738 0.524932i −0.916652 0.399686i \(-0.869119\pi\)
0.992126 0.125246i \(-0.0399719\pi\)
\(734\) 23.6739 15.2143i 0.873820 0.561570i
\(735\) −3.69812 −0.136407
\(736\) 4.31819 2.08644i 0.159171 0.0769074i
\(737\) 2.18076 0.0803294
\(738\) 2.10638 1.35369i 0.0775368 0.0498299i
\(739\) 0.160585 1.11689i 0.00590721 0.0410855i −0.986655 0.162827i \(-0.947939\pi\)
0.992562 + 0.121741i \(0.0388479\pi\)
\(740\) −12.9582 + 28.3745i −0.476353 + 1.04307i
\(741\) −10.2163 + 2.99978i −0.375306 + 0.110200i
\(742\) −4.40621 9.64826i −0.161757 0.354199i
\(743\) 3.49855 + 4.03754i 0.128349 + 0.148123i 0.816287 0.577647i \(-0.196029\pi\)
−0.687937 + 0.725770i \(0.741484\pi\)
\(744\) 1.03151 + 7.17433i 0.0378171 + 0.263024i
\(745\) 39.1157 + 11.4854i 1.43309 + 0.420793i
\(746\) 0.0472938 0.0545799i 0.00173155 0.00199831i
\(747\) −5.00996 3.21971i −0.183305 0.117803i
\(748\) 1.39689 + 0.897725i 0.0510752 + 0.0328241i
\(749\) 9.57955 11.0554i 0.350029 0.403955i
\(750\) 13.0438 + 3.83001i 0.476293 + 0.139852i
\(751\) 1.80109 + 12.5268i 0.0657226 + 0.457110i 0.995934 + 0.0900863i \(0.0287143\pi\)
−0.930211 + 0.367024i \(0.880377\pi\)
\(752\) 4.39069 + 5.06713i 0.160112 + 0.184779i
\(753\) −7.82328 17.1306i −0.285096 0.624274i
\(754\) −29.0953 + 8.54315i −1.05959 + 0.311123i
\(755\) 0.377098 0.825730i 0.0137240 0.0300514i
\(756\) −0.142315 + 0.989821i −0.00517594 + 0.0359995i
\(757\) −35.9838 + 23.1254i −1.30785 + 0.840506i −0.994044 0.108980i \(-0.965241\pi\)
−0.313809 + 0.949486i \(0.601605\pi\)
\(758\) 0.337118 0.0122447
\(759\) 0.0391288 + 1.80296i 0.00142029 + 0.0654434i
\(760\) −8.35553 −0.303087
\(761\) −10.2519 + 6.58850i −0.371632 + 0.238833i −0.713103 0.701059i \(-0.752711\pi\)
0.341472 + 0.939892i \(0.389075\pi\)
\(762\) −1.92152 + 13.3645i −0.0696093 + 0.484143i
\(763\) −4.61536 + 10.1062i −0.167087 + 0.365870i
\(764\) 22.1912 6.51591i 0.802848 0.235737i
\(765\) 6.78378 + 14.8544i 0.245268 + 0.537062i
\(766\) 13.9200 + 16.0645i 0.502949 + 0.580434i
\(767\) −9.79360 68.1160i −0.353626 2.45953i
\(768\) 0.959493 + 0.281733i 0.0346227 + 0.0101661i
\(769\) −18.7795 + 21.6727i −0.677205 + 0.781536i −0.985486 0.169760i \(-0.945701\pi\)
0.308281 + 0.951295i \(0.400246\pi\)
\(770\) −1.16986 0.751821i −0.0421587 0.0270938i
\(771\) −16.2282 10.4292i −0.584444 0.375599i
\(772\) −1.76899 + 2.04152i −0.0636672 + 0.0734759i
\(773\) −18.9601 5.56717i −0.681946 0.200237i −0.0776299 0.996982i \(-0.524735\pi\)
−0.604316 + 0.796745i \(0.706553\pi\)
\(774\) −0.614294 4.27251i −0.0220803 0.153572i
\(775\) −41.1809 47.5253i −1.47926 1.70716i
\(776\) −1.49993 3.28438i −0.0538443 0.117903i
\(777\) 8.09327 2.37640i 0.290345 0.0852529i
\(778\) 8.95806 19.6154i 0.321162 0.703247i
\(779\) 0.805105 5.59963i 0.0288459 0.200628i
\(780\) −14.6611 + 9.42213i −0.524952 + 0.337366i
\(781\) −6.05509 −0.216668
\(782\) −20.8915 + 3.46797i −0.747080 + 0.124014i
\(783\) −6.43460 −0.229954
\(784\) 0.841254 0.540641i 0.0300448 0.0193086i
\(785\) 11.9259 82.9465i 0.425654 2.96049i
\(786\) −3.96861 + 8.69005i −0.141556 + 0.309964i
\(787\) 18.8646 5.53916i 0.672452 0.197450i 0.0723572 0.997379i \(-0.476948\pi\)
0.600094 + 0.799929i \(0.295130\pi\)
\(788\) 10.0777 + 22.0672i 0.359005 + 0.786111i
\(789\) 10.4162 + 12.0209i 0.370827 + 0.427957i
\(790\) 3.97311 + 27.6336i 0.141357 + 0.983159i
\(791\) 6.85230 + 2.01202i 0.243640 + 0.0715391i
\(792\) −0.246249 + 0.284186i −0.00875007 + 0.0100981i
\(793\) −35.7819 22.9957i −1.27065 0.816599i
\(794\) −7.00538 4.50208i −0.248612 0.159773i
\(795\) 25.6870 29.6443i 0.911022 1.05138i
\(796\) −4.76529 1.39922i −0.168901 0.0495939i
\(797\) 3.32881 + 23.1524i 0.117913 + 0.820100i 0.959848 + 0.280522i \(0.0905074\pi\)
−0.841935 + 0.539579i \(0.818583\pi\)
\(798\) 1.47959 + 1.70754i 0.0523770 + 0.0604463i
\(799\) −12.2992 26.9314i −0.435113 0.952765i
\(800\) −8.32462 + 2.44433i −0.294320 + 0.0864201i
\(801\) 2.16126 4.73250i 0.0763643 0.167215i
\(802\) −3.35120 + 23.3081i −0.118335 + 0.823038i
\(803\) 1.28444 0.825458i 0.0453268 0.0291298i
\(804\) −5.79940 −0.204529
\(805\) 17.4961 2.90433i 0.616657 0.102364i
\(806\) 34.1573 1.20314
\(807\) −5.71294 + 3.67148i −0.201105 + 0.129242i
\(808\) 0.479291 3.33354i 0.0168614 0.117274i
\(809\) −15.9489 + 34.9233i −0.560735 + 1.22784i 0.390851 + 0.920454i \(0.372181\pi\)
−0.951586 + 0.307384i \(0.900547\pi\)
\(810\) −3.54832 + 1.04188i −0.124675 + 0.0366079i
\(811\) −22.2231 48.6619i −0.780360 1.70875i −0.702388 0.711794i \(-0.747883\pi\)
−0.0779720 0.996956i \(-0.524844\pi\)
\(812\) 4.21377 + 4.86294i 0.147874 + 0.170656i
\(813\) −1.60839 11.1866i −0.0564086 0.392330i
\(814\) 3.04333 + 0.893603i 0.106669 + 0.0313208i
\(815\) −24.8805 + 28.7136i −0.871525 + 1.00579i
\(816\) −3.71480 2.38736i −0.130044 0.0835743i
\(817\) −8.20439 5.27264i −0.287035 0.184466i
\(818\) −7.96098 + 9.18746i −0.278349 + 0.321232i
\(819\) 4.52170 + 1.32769i 0.158001 + 0.0463932i
\(820\) −1.31777 9.16530i −0.0460185 0.320066i
\(821\) −16.8229 19.4146i −0.587123 0.677576i 0.381998 0.924163i \(-0.375236\pi\)
−0.969121 + 0.246587i \(0.920691\pi\)
\(822\) 3.27496 + 7.17116i 0.114227 + 0.250123i
\(823\) 49.1551 14.4333i 1.71344 0.503112i 0.729862 0.683594i \(-0.239584\pi\)
0.983578 + 0.180483i \(0.0577660\pi\)
\(824\) −4.63974 + 10.1596i −0.161633 + 0.353927i
\(825\) 0.464299 3.22927i 0.0161648 0.112429i
\(826\) −12.2846 + 7.89481i −0.427434 + 0.274695i
\(827\) −21.0792 −0.732996 −0.366498 0.930419i \(-0.619443\pi\)
−0.366498 + 0.930419i \(0.619443\pi\)
\(828\) −0.104057 4.79470i −0.00361623 0.166627i
\(829\) 0.286204 0.00994026 0.00497013 0.999988i \(-0.498418\pi\)
0.00497013 + 0.999988i \(0.498418\pi\)
\(830\) −18.5274 + 11.9068i −0.643096 + 0.413293i
\(831\) −0.951229 + 6.61595i −0.0329978 + 0.229505i
\(832\) 1.95768 4.28672i 0.0678704 0.148615i
\(833\) −4.23693 + 1.24407i −0.146801 + 0.0431046i
\(834\) −3.29354 7.21184i −0.114046 0.249726i
\(835\) 15.9075 + 18.3582i 0.550501 + 0.635312i
\(836\) 0.120912 + 0.840960i 0.00418182 + 0.0290852i
\(837\) 6.95451 + 2.04203i 0.240383 + 0.0705828i
\(838\) 10.8393 12.5092i 0.374438 0.432125i
\(839\) −20.9968 13.4938i −0.724890 0.465858i 0.125445 0.992101i \(-0.459964\pi\)
−0.850335 + 0.526242i \(0.823600\pi\)
\(840\) 3.11105 + 1.99935i 0.107342 + 0.0689842i
\(841\) −8.12292 + 9.37435i −0.280101 + 0.323253i
\(842\) 10.6007 + 3.11263i 0.365323 + 0.107268i
\(843\) −3.78753 26.3428i −0.130449 0.907295i
\(844\) 13.2161 + 15.2522i 0.454918 + 0.525004i
\(845\) 14.1466 + 30.9767i 0.486657 + 1.06563i
\(846\) 6.43319 1.88895i 0.221177 0.0649436i
\(847\) 4.51083 9.87733i 0.154994 0.339389i
\(848\) −1.50950 + 10.4988i −0.0518365 + 0.360531i
\(849\) −1.92398 + 1.23647i −0.0660309 + 0.0424355i
\(850\) 38.3117 1.31408
\(851\) −36.4237 + 17.5991i −1.24859 + 0.603288i
\(852\) 16.1026 0.551665
\(853\) −14.5166 + 9.32927i −0.497040 + 0.319428i −0.765031 0.643993i \(-0.777277\pi\)
0.267991 + 0.963421i \(0.413640\pi\)
\(854\) −1.28448 + 8.93376i −0.0439540 + 0.305707i
\(855\) −3.47101 + 7.60046i −0.118706 + 0.259930i
\(856\) −14.0358 + 4.12129i −0.479735 + 0.140863i
\(857\) −22.4809 49.2262i −0.767932 1.68154i −0.731154 0.682213i \(-0.761018\pi\)
−0.0367778 0.999323i \(-0.511709\pi\)
\(858\) 1.16047 + 1.33925i 0.0396178 + 0.0457214i
\(859\) 0.615755 + 4.28267i 0.0210093 + 0.146123i 0.997626 0.0688652i \(-0.0219378\pi\)
−0.976617 + 0.214988i \(0.931029\pi\)
\(860\) −15.3161 4.49721i −0.522275 0.153354i
\(861\) −1.63968 + 1.89229i −0.0558800 + 0.0644890i
\(862\) −8.21099 5.27688i −0.279667 0.179731i
\(863\) −21.6103 13.8881i −0.735623 0.472756i 0.118417 0.992964i \(-0.462218\pi\)
−0.854040 + 0.520208i \(0.825854\pi\)
\(864\) 0.654861 0.755750i 0.0222788 0.0257111i
\(865\) −19.0512 5.59395i −0.647761 0.190200i
\(866\) 2.50174 + 17.4000i 0.0850124 + 0.591274i
\(867\) 1.63667 + 1.88881i 0.0555841 + 0.0641475i
\(868\) −3.01097 6.59311i −0.102199 0.223785i
\(869\) 2.72375 0.799765i 0.0923968 0.0271302i
\(870\) −9.88517 + 21.6455i −0.335139 + 0.733851i
\(871\) −3.88949 + 27.0520i −0.131790 + 0.916622i
\(872\) 9.34653 6.00665i 0.316513 0.203411i
\(873\) −3.61067 −0.122203
\(874\) −8.34112 6.91653i −0.282142 0.233955i
\(875\) −13.5945 −0.459578
\(876\) −3.41576 + 2.19518i −0.115408 + 0.0741682i
\(877\) 0.0445081 0.309560i 0.00150293 0.0104531i −0.989056 0.147539i \(-0.952865\pi\)
0.990559 + 0.137086i \(0.0437738\pi\)
\(878\) 5.38256 11.7862i 0.181653 0.397764i
\(879\) −2.31890 + 0.680889i −0.0782144 + 0.0229658i
\(880\) 0.577681 + 1.26494i 0.0194736 + 0.0426413i
\(881\) 12.7962 + 14.7676i 0.431116 + 0.497534i 0.929191 0.369600i \(-0.120505\pi\)
−0.498075 + 0.867134i \(0.665960\pi\)
\(882\) −0.142315 0.989821i −0.00479199 0.0333290i
\(883\) 38.6710 + 11.3548i 1.30138 + 0.382120i 0.857740 0.514084i \(-0.171868\pi\)
0.443642 + 0.896204i \(0.353686\pi\)
\(884\) −13.6275 + 15.7270i −0.458344 + 0.528957i
\(885\) −45.4297 29.1959i −1.52710 0.981410i
\(886\) 34.2541 + 22.0138i 1.15079 + 0.739568i
\(887\) −1.62755 + 1.87829i −0.0546478 + 0.0630669i −0.782415 0.622757i \(-0.786013\pi\)
0.727768 + 0.685824i \(0.240558\pi\)
\(888\) −8.09327 2.37640i −0.271593 0.0797468i
\(889\) −1.92152 13.3645i −0.0644457 0.448230i
\(890\) −12.5995 14.5406i −0.422337 0.487403i
\(891\) 0.156209 + 0.342051i 0.00523322 + 0.0114591i
\(892\) −3.07748 + 0.903631i −0.103042 + 0.0302558i
\(893\) 6.29303 13.7798i 0.210588 0.461124i
\(894\) −1.56884 + 10.9115i −0.0524699 + 0.364936i
\(895\) −80.2020 + 51.5427i −2.68086 + 1.72288i
\(896\) −1.00000 −0.0334077
\(897\) −22.4353 2.73028i −0.749092 0.0911615i
\(898\) 29.0588 0.969706
\(899\) 39.2349 25.2148i 1.30856 0.840959i
\(900\) −1.23473 + 8.58775i −0.0411577 + 0.286258i
\(901\) 19.4569 42.6047i 0.648204 1.41937i
\(902\) −0.903392 + 0.265260i −0.0300797 + 0.00883219i
\(903\) 1.79311 + 3.92637i 0.0596711 + 0.130662i
\(904\) −4.67675 5.39725i −0.155546 0.179510i
\(905\) −11.6019 80.6931i −0.385661 2.68233i
\(906\) 0.235523 + 0.0691558i 0.00782473 + 0.00229755i
\(907\) −23.0118 + 26.5570i −0.764095 + 0.881812i −0.995854 0.0909607i \(-0.971006\pi\)
0.231760 + 0.972773i \(0.425552\pi\)
\(908\) 1.19037 + 0.765004i 0.0395038 + 0.0253876i
\(909\) −2.83319 1.82078i −0.0939710 0.0603915i
\(910\) 11.4127 13.1710i 0.378328 0.436614i
\(911\) −2.46034 0.722422i −0.0815149 0.0239349i 0.240721 0.970594i \(-0.422616\pi\)
−0.322236 + 0.946659i \(0.604434\pi\)
\(912\) −0.321546 2.23640i −0.0106475 0.0740547i
\(913\) 1.46650 + 1.69243i 0.0485340 + 0.0560112i
\(914\) −9.90735 21.6941i −0.327706 0.717576i
\(915\) −32.0258 + 9.40361i −1.05874 + 0.310874i
\(916\) 11.4056 24.9748i 0.376852 0.825191i
\(917\) 1.35959 9.45613i 0.0448975 0.312269i
\(918\) −3.71480 + 2.38736i −0.122607 + 0.0787946i
\(919\) −13.7563 −0.453779 −0.226890 0.973920i \(-0.572856\pi\)
−0.226890 + 0.973920i \(0.572856\pi\)
\(920\) −16.2889 7.01584i −0.537028 0.231305i
\(921\) −3.89936 −0.128488
\(922\) 18.2700 11.7414i 0.601692 0.386684i
\(923\) 10.7995 75.1124i 0.355471 2.47236i
\(924\) 0.156209 0.342051i 0.00513892 0.0112527i
\(925\) 70.2177 20.6178i 2.30875 0.677909i
\(926\) 1.03859 + 2.27419i 0.0341302 + 0.0747346i
\(927\) 7.31410 + 8.44092i 0.240226 + 0.277236i
\(928\) −0.915739 6.36910i −0.0300606 0.209076i
\(929\) −23.8889 7.01441i −0.783769 0.230135i −0.134722 0.990883i \(-0.543014\pi\)
−0.649047 + 0.760748i \(0.724832\pi\)
\(930\) 17.5531 20.2574i 0.575589 0.664265i
\(931\) −1.90073 1.22152i −0.0622939 0.0400338i
\(932\) −1.11486 0.716479i −0.0365186 0.0234691i
\(933\) 5.36089 6.18679i 0.175508 0.202547i
\(934\) 40.7877 + 11.9763i 1.33461 + 0.391878i
\(935\) −0.873907 6.07815i −0.0285798 0.198777i
\(936\) −3.08609 3.56154i −0.100872 0.116412i
\(937\) −9.76081 21.3732i −0.318872 0.698232i 0.680533 0.732717i \(-0.261748\pi\)
−0.999405 + 0.0344852i \(0.989021\pi\)
\(938\) 5.56448 1.63388i 0.181687 0.0533481i
\(939\) 3.32194 7.27403i 0.108407 0.237379i
\(940\) 3.52870 24.5427i 0.115094 0.800493i
\(941\) 40.5854 26.0827i 1.32305 0.850271i 0.327529 0.944841i \(-0.393784\pi\)
0.995518 + 0.0945707i \(0.0301479\pi\)
\(942\) 22.6600 0.738304
\(943\) 6.27134 10.2403i 0.204223 0.333470i
\(944\) 14.6027 0.475277
\(945\) 3.11105 1.99935i 0.101203 0.0650389i
\(946\) −0.230994 + 1.60660i −0.00751027 + 0.0522351i
\(947\) 9.79080 21.4389i 0.318158 0.696669i −0.681215 0.732084i \(-0.738548\pi\)
0.999373 + 0.0354146i \(0.0112752\pi\)
\(948\) −7.24339 + 2.12685i −0.235254 + 0.0690769i
\(949\) 7.94882 + 17.4055i 0.258030 + 0.565006i
\(950\) 12.8370 + 14.8147i 0.416489 + 0.480653i
\(951\) −1.53709 10.6907i −0.0498437 0.346670i
\(952\) 4.23693 + 1.24407i 0.137320 + 0.0403207i
\(953\) 7.26613 8.38556i 0.235373 0.271635i −0.625759 0.780017i \(-0.715211\pi\)
0.861132 + 0.508382i \(0.169756\pi\)
\(954\) 8.92298 + 5.73445i 0.288892 + 0.185660i
\(955\) −71.9525 46.2410i −2.32833 1.49632i
\(956\) 2.37684 2.74303i 0.0768727 0.0887158i
\(957\) 2.32161 + 0.681685i 0.0750468 + 0.0220357i
\(958\) −1.98786 13.8259i −0.0642249 0.446694i
\(959\) −5.16265 5.95802i −0.166711 0.192394i
\(960\) −1.53625 3.36392i −0.0495823 0.108570i
\(961\) −20.6627 + 6.06712i −0.666539 + 0.195714i
\(962\) −16.5129 + 36.1583i −0.532398 + 1.16579i
\(963\) −2.08184 + 14.4795i −0.0670862 + 0.466595i
\(964\) −18.0341 + 11.5898i −0.580841 + 0.373284i
\(965\) 9.98978 0.321582
\(966\) 1.45067 + 4.57117i 0.0466744 + 0.147075i
\(967\) 47.3782 1.52358 0.761790 0.647825i \(-0.224321\pi\)
0.761790 + 0.647825i \(0.224321\pi\)
\(968\) −9.13484 + 5.87060i −0.293605 + 0.188688i
\(969\) −1.41988 + 9.87550i −0.0456132 + 0.317247i
\(970\) −5.54691 + 12.1460i −0.178100 + 0.389986i
\(971\) 27.8800 8.18631i 0.894713 0.262711i 0.198120 0.980178i \(-0.436517\pi\)
0.696593 + 0.717467i \(0.254698\pi\)
\(972\) −0.415415 0.909632i −0.0133244 0.0291765i
\(973\) 5.19193 + 5.99181i 0.166446 + 0.192089i
\(974\) 1.37995 + 9.59774i 0.0442163 + 0.307531i
\(975\) 39.2305 + 11.5191i 1.25638 + 0.368907i
\(976\) 5.91053 6.82111i 0.189191 0.218338i
\(977\) −19.6346 12.6184i −0.628167 0.403699i 0.187463 0.982272i \(-0.439973\pi\)
−0.815631 + 0.578573i \(0.803610\pi\)
\(978\) −8.64283 5.55441i −0.276367 0.177610i
\(979\) −1.28115 + 1.47852i −0.0409456 + 0.0472538i
\(980\) −3.54832 1.04188i −0.113347 0.0332816i
\(981\) −1.58115 10.9972i −0.0504823 0.351112i
\(982\) −18.2840 21.1008i −0.583465 0.673355i
\(983\) −15.5484 34.0462i −0.495916 1.08590i −0.977775 0.209656i \(-0.932766\pi\)
0.481859 0.876249i \(-0.339962\pi\)
\(984\) 2.40243 0.705417i 0.0765867 0.0224879i
\(985\) 37.2687 81.6070i 1.18748 2.60021i
\(986\) −4.04372 + 28.1247i −0.128778 + 0.895672i
\(987\) −5.64042 + 3.62488i −0.179536 + 0.115381i
\(988\) −10.6476 −0.338746
\(989\) −11.5670 17.1678i −0.367809 0.545904i
\(990\) 1.39061 0.0441965
\(991\) −6.89995 + 4.43433i −0.219184 + 0.140861i −0.645626 0.763654i \(-0.723403\pi\)
0.426442 + 0.904515i \(0.359767\pi\)
\(992\) −1.03151 + 7.17433i −0.0327506 + 0.227785i
\(993\) −0.809782 + 1.77317i −0.0256976 + 0.0562700i
\(994\) −15.4503 + 4.53662i −0.490054 + 0.143893i
\(995\) 7.62975 + 16.7068i 0.241879 + 0.529642i
\(996\) −3.89993 4.50075i −0.123574 0.142612i
\(997\) −7.73588 53.8042i −0.244998 1.70400i −0.626329 0.779559i \(-0.715443\pi\)
0.381331 0.924438i \(-0.375466\pi\)
\(998\) 10.8089 + 3.17379i 0.342151 + 0.100465i
\(999\) −5.52372 + 6.37471i −0.174763 + 0.201687i
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 966.2.q.j.127.1 40
23.2 even 11 inner 966.2.q.j.715.1 yes 40
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
966.2.q.j.127.1 40 1.1 even 1 trivial
966.2.q.j.715.1 yes 40 23.2 even 11 inner