Properties

Label 690.2.q.b.191.3
Level $690$
Weight $2$
Character 690.191
Analytic conductor $5.510$
Analytic rank $0$
Dimension $160$
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] = [690,2,Mod(11,690)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(690, base_ring=CyclotomicField(22))
 
chi = DirichletCharacter(H, H._module([11, 0, 9]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("690.11");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 690.q (of order \(22\), 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: \(5.50967773947\)
Analytic rank: \(0\)
Dimension: \(160\)
Relative dimension: \(16\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 191.3
Character \(\chi\) \(=\) 690.191
Dual form 690.2.q.b.401.3

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.755750 - 0.654861i) q^{2} +(-0.982602 + 1.42636i) q^{3} +(0.142315 + 0.989821i) q^{4} +(-0.415415 - 0.909632i) q^{5} +(1.67667 - 0.434500i) q^{6} +(-0.819457 - 2.79081i) q^{7} +(0.540641 - 0.841254i) q^{8} +(-1.06898 - 2.80308i) q^{9} +O(q^{10})\) \(q+(-0.755750 - 0.654861i) q^{2} +(-0.982602 + 1.42636i) q^{3} +(0.142315 + 0.989821i) q^{4} +(-0.415415 - 0.909632i) q^{5} +(1.67667 - 0.434500i) q^{6} +(-0.819457 - 2.79081i) q^{7} +(0.540641 - 0.841254i) q^{8} +(-1.06898 - 2.80308i) q^{9} +(-0.281733 + 0.959493i) q^{10} +(3.30704 + 3.81653i) q^{11} +(-1.55168 - 0.769609i) q^{12} +(-2.20642 - 0.647864i) q^{13} +(-1.20829 + 2.64579i) q^{14} +(1.70565 + 0.301277i) q^{15} +(-0.959493 + 0.281733i) q^{16} +(-0.484647 + 3.37079i) q^{17} +(-1.02774 + 2.81846i) q^{18} +(-0.820688 + 0.117997i) q^{19} +(0.841254 - 0.540641i) q^{20} +(4.78590 + 1.57342i) q^{21} -5.04999i q^{22} +(-4.20596 + 2.30432i) q^{23} +(0.668692 + 1.59776i) q^{24} +(-0.654861 + 0.755750i) q^{25} +(1.24324 + 1.93452i) q^{26} +(5.04858 + 1.22956i) q^{27} +(2.64579 - 1.20829i) q^{28} +(-4.95479 - 0.712391i) q^{29} +(-1.09175 - 1.34465i) q^{30} +(-0.527625 - 0.339084i) q^{31} +(0.909632 + 0.415415i) q^{32} +(-8.69323 + 0.966888i) q^{33} +(2.57367 - 2.23010i) q^{34} +(-2.19820 + 1.90475i) q^{35} +(2.62242 - 1.45702i) q^{36} +(-7.07324 - 3.23024i) q^{37} +(0.697506 + 0.448260i) q^{38} +(3.09212 - 2.51055i) q^{39} +(-0.989821 - 0.142315i) q^{40} +(-8.45385 + 3.86074i) q^{41} +(-2.58657 - 4.32321i) q^{42} +(-6.89642 - 10.7310i) q^{43} +(-3.30704 + 3.81653i) q^{44} +(-2.10570 + 2.13683i) q^{45} +(4.68766 + 1.01283i) q^{46} -1.59898i q^{47} +(0.540949 - 1.64541i) q^{48} +(-1.22836 + 0.789418i) q^{49} +(0.989821 - 0.142315i) q^{50} +(-4.33174 - 4.00343i) q^{51} +(0.327263 - 2.27616i) q^{52} +(-2.70253 + 0.793536i) q^{53} +(-3.01027 - 4.23536i) q^{54} +(2.09784 - 4.59363i) q^{55} +(-2.79081 - 0.819457i) q^{56} +(0.638104 - 1.28654i) q^{57} +(3.27806 + 3.78308i) q^{58} +(-0.905212 + 3.08287i) q^{59} +(-0.0554713 + 1.73116i) q^{60} +(-0.506874 + 0.788711i) q^{61} +(0.176700 + 0.601783i) q^{62} +(-6.94689 + 5.28034i) q^{63} +(-0.415415 - 0.909632i) q^{64} +(0.327263 + 2.27616i) q^{65} +(7.20308 + 4.96213i) q^{66} +(-5.07699 - 4.39924i) q^{67} -3.40546 q^{68} +(0.846002 - 8.26343i) q^{69} +2.90863 q^{70} +(0.216816 + 0.187872i) q^{71} +(-2.93604 - 0.616174i) q^{72} +(1.73188 + 12.0455i) q^{73} +(3.23024 + 7.07324i) q^{74} +(-0.434500 - 1.67667i) q^{75} +(-0.233592 - 0.795542i) q^{76} +(7.94124 - 12.3568i) q^{77} +(-3.98093 - 0.127560i) q^{78} +(-3.95258 + 13.4612i) q^{79} +(0.654861 + 0.755750i) q^{80} +(-6.71454 + 5.99291i) q^{81} +(8.91724 + 2.61834i) q^{82} +(0.248823 - 0.544847i) q^{83} +(-0.876304 + 4.96110i) q^{84} +(3.26751 - 0.959428i) q^{85} +(-1.81537 + 12.6262i) q^{86} +(5.88471 - 6.36729i) q^{87} +(4.99859 - 0.718688i) q^{88} +(1.55964 - 1.00232i) q^{89} +(2.99071 - 0.235964i) q^{90} +6.68861i q^{91} +(-2.87944 - 3.83521i) q^{92} +(1.00210 - 0.419396i) q^{93} +(-1.04711 + 1.20843i) q^{94} +(0.448260 + 0.697506i) q^{95} +(-1.48634 + 0.889272i) q^{96} +(-17.1163 + 7.81673i) q^{97} +(1.44529 + 0.207801i) q^{98} +(7.16286 - 13.3497i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 160 q + 16 q^{4} + 16 q^{5} - 2 q^{6} - 46 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 160 q + 16 q^{4} + 16 q^{5} - 2 q^{6} - 46 q^{9} + 12 q^{11} + 12 q^{14} - 16 q^{16} - 8 q^{18} - 16 q^{20} + 70 q^{21} - 4 q^{23} + 2 q^{24} - 16 q^{25} + 42 q^{27} + 2 q^{30} - 4 q^{31} - 16 q^{33} + 2 q^{36} - 72 q^{38} + 140 q^{39} - 44 q^{41} + 44 q^{43} - 12 q^{44} + 2 q^{45} + 4 q^{46} + 70 q^{49} + 2 q^{51} + 52 q^{53} - 62 q^{54} + 10 q^{55} + 54 q^{56} - 94 q^{57} - 36 q^{58} - 44 q^{61} + 16 q^{64} - 54 q^{66} - 44 q^{67} - 30 q^{69} - 12 q^{70} - 36 q^{72} - 28 q^{73} + 24 q^{74} + 88 q^{77} - 54 q^{78} - 44 q^{79} + 16 q^{80} - 66 q^{81} - 28 q^{82} - 4 q^{83} - 4 q^{84} - 158 q^{86} + 156 q^{87} - 80 q^{89} + 8 q^{90} + 4 q^{92} + 4 q^{93} + 24 q^{94} - 2 q^{96} + 88 q^{98} - 58 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).

\(n\) \(277\) \(461\) \(511\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{19}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.755750 0.654861i −0.534396 0.463056i
\(3\) −0.982602 + 1.42636i −0.567306 + 0.823507i
\(4\) 0.142315 + 0.989821i 0.0711574 + 0.494911i
\(5\) −0.415415 0.909632i −0.185779 0.406800i
\(6\) 1.67667 0.434500i 0.684496 0.177384i
\(7\) −0.819457 2.79081i −0.309726 1.05483i −0.956399 0.292062i \(-0.905659\pi\)
0.646674 0.762767i \(-0.276160\pi\)
\(8\) 0.540641 0.841254i 0.191145 0.297428i
\(9\) −1.06898 2.80308i −0.356328 0.934361i
\(10\) −0.281733 + 0.959493i −0.0890917 + 0.303418i
\(11\) 3.30704 + 3.81653i 0.997110 + 1.15073i 0.988570 + 0.150763i \(0.0481729\pi\)
0.00853981 + 0.999964i \(0.497282\pi\)
\(12\) −1.55168 0.769609i −0.447931 0.222167i
\(13\) −2.20642 0.647864i −0.611951 0.179685i −0.0389520 0.999241i \(-0.512402\pi\)
−0.572999 + 0.819556i \(0.694220\pi\)
\(14\) −1.20829 + 2.64579i −0.322929 + 0.707116i
\(15\) 1.70565 + 0.301277i 0.440396 + 0.0777893i
\(16\) −0.959493 + 0.281733i −0.239873 + 0.0704331i
\(17\) −0.484647 + 3.37079i −0.117544 + 0.817538i 0.842701 + 0.538381i \(0.180964\pi\)
−0.960246 + 0.279157i \(0.909945\pi\)
\(18\) −1.02774 + 2.81846i −0.242242 + 0.664318i
\(19\) −0.820688 + 0.117997i −0.188279 + 0.0270704i −0.235809 0.971799i \(-0.575774\pi\)
0.0475304 + 0.998870i \(0.484865\pi\)
\(20\) 0.841254 0.540641i 0.188110 0.120891i
\(21\) 4.78590 + 1.57342i 1.04437 + 0.343349i
\(22\) 5.04999i 1.07666i
\(23\) −4.20596 + 2.30432i −0.877003 + 0.480484i
\(24\) 0.668692 + 1.59776i 0.136496 + 0.326142i
\(25\) −0.654861 + 0.755750i −0.130972 + 0.151150i
\(26\) 1.24324 + 1.93452i 0.243820 + 0.379391i
\(27\) 5.04858 + 1.22956i 0.971600 + 0.236629i
\(28\) 2.64579 1.20829i 0.500007 0.228345i
\(29\) −4.95479 0.712391i −0.920081 0.132288i −0.334030 0.942562i \(-0.608409\pi\)
−0.586050 + 0.810275i \(0.699318\pi\)
\(30\) −1.09175 1.34465i −0.199325 0.245499i
\(31\) −0.527625 0.339084i −0.0947642 0.0609013i 0.492400 0.870369i \(-0.336120\pi\)
−0.587165 + 0.809467i \(0.699756\pi\)
\(32\) 0.909632 + 0.415415i 0.160802 + 0.0734357i
\(33\) −8.69323 + 0.966888i −1.51330 + 0.168314i
\(34\) 2.57367 2.23010i 0.441381 0.382459i
\(35\) −2.19820 + 1.90475i −0.371563 + 0.321962i
\(36\) 2.62242 1.45702i 0.437070 0.242837i
\(37\) −7.07324 3.23024i −1.16283 0.531048i −0.261938 0.965085i \(-0.584361\pi\)
−0.900895 + 0.434037i \(0.857089\pi\)
\(38\) 0.697506 + 0.448260i 0.113150 + 0.0727174i
\(39\) 3.09212 2.51055i 0.495135 0.402010i
\(40\) −0.989821 0.142315i −0.156505 0.0225020i
\(41\) −8.45385 + 3.86074i −1.32027 + 0.602947i −0.945938 0.324348i \(-0.894855\pi\)
−0.374332 + 0.927295i \(0.622128\pi\)
\(42\) −2.58657 4.32321i −0.399116 0.667086i
\(43\) −6.89642 10.7310i −1.05169 1.63647i −0.721296 0.692627i \(-0.756453\pi\)
−0.330399 0.943841i \(-0.607183\pi\)
\(44\) −3.30704 + 3.81653i −0.498555 + 0.575363i
\(45\) −2.10570 + 2.13683i −0.313899 + 0.318539i
\(46\) 4.68766 + 1.01283i 0.691158 + 0.149333i
\(47\) 1.59898i 0.233236i −0.993177 0.116618i \(-0.962795\pi\)
0.993177 0.116618i \(-0.0372052\pi\)
\(48\) 0.540949 1.64541i 0.0780793 0.237494i
\(49\) −1.22836 + 0.789418i −0.175480 + 0.112774i
\(50\) 0.989821 0.142315i 0.139982 0.0201264i
\(51\) −4.33174 4.00343i −0.606565 0.560592i
\(52\) 0.327263 2.27616i 0.0453832 0.315647i
\(53\) −2.70253 + 0.793536i −0.371222 + 0.109001i −0.462022 0.886869i \(-0.652876\pi\)
0.0908000 + 0.995869i \(0.471058\pi\)
\(54\) −3.01027 4.23536i −0.409646 0.576359i
\(55\) 2.09784 4.59363i 0.282873 0.619405i
\(56\) −2.79081 0.819457i −0.372938 0.109505i
\(57\) 0.638104 1.28654i 0.0845189 0.170406i
\(58\) 3.27806 + 3.78308i 0.430430 + 0.496743i
\(59\) −0.905212 + 3.08287i −0.117849 + 0.401355i −0.997197 0.0748239i \(-0.976161\pi\)
0.879348 + 0.476179i \(0.157979\pi\)
\(60\) −0.0554713 + 1.73116i −0.00716132 + 0.223492i
\(61\) −0.506874 + 0.788711i −0.0648985 + 0.100984i −0.872186 0.489174i \(-0.837298\pi\)
0.807288 + 0.590158i \(0.200935\pi\)
\(62\) 0.176700 + 0.601783i 0.0224409 + 0.0764266i
\(63\) −6.94689 + 5.28034i −0.875226 + 0.665261i
\(64\) −0.415415 0.909632i −0.0519269 0.113704i
\(65\) 0.327263 + 2.27616i 0.0405920 + 0.282323i
\(66\) 7.20308 + 4.96213i 0.886638 + 0.610796i
\(67\) −5.07699 4.39924i −0.620253 0.537452i 0.287058 0.957913i \(-0.407323\pi\)
−0.907311 + 0.420461i \(0.861868\pi\)
\(68\) −3.40546 −0.412972
\(69\) 0.846002 8.26343i 0.101847 0.994800i
\(70\) 2.90863 0.347648
\(71\) 0.216816 + 0.187872i 0.0257313 + 0.0222963i 0.667631 0.744492i \(-0.267308\pi\)
−0.641900 + 0.766788i \(0.721854\pi\)
\(72\) −2.93604 0.616174i −0.346016 0.0726167i
\(73\) 1.73188 + 12.0455i 0.202701 + 1.40982i 0.796224 + 0.605002i \(0.206828\pi\)
−0.593523 + 0.804817i \(0.702263\pi\)
\(74\) 3.23024 + 7.07324i 0.375508 + 0.822247i
\(75\) −0.434500 1.67667i −0.0501718 0.193605i
\(76\) −0.233592 0.795542i −0.0267949 0.0912549i
\(77\) 7.94124 12.3568i 0.904988 1.40819i
\(78\) −3.98093 0.127560i −0.450751 0.0144433i
\(79\) −3.95258 + 13.4612i −0.444700 + 1.51451i 0.366881 + 0.930268i \(0.380426\pi\)
−0.811581 + 0.584240i \(0.801393\pi\)
\(80\) 0.654861 + 0.755750i 0.0732157 + 0.0844954i
\(81\) −6.71454 + 5.99291i −0.746060 + 0.665878i
\(82\) 8.91724 + 2.61834i 0.984745 + 0.289147i
\(83\) 0.248823 0.544847i 0.0273119 0.0598047i −0.895484 0.445093i \(-0.853171\pi\)
0.922796 + 0.385288i \(0.125898\pi\)
\(84\) −0.876304 + 4.96110i −0.0956126 + 0.541301i
\(85\) 3.26751 0.959428i 0.354411 0.104065i
\(86\) −1.81537 + 12.6262i −0.195756 + 1.36152i
\(87\) 5.88471 6.36729i 0.630907 0.682646i
\(88\) 4.99859 0.718688i 0.532851 0.0766124i
\(89\) 1.55964 1.00232i 0.165322 0.106246i −0.455364 0.890305i \(-0.650491\pi\)
0.620685 + 0.784060i \(0.286854\pi\)
\(90\) 2.99071 0.235964i 0.315248 0.0248728i
\(91\) 6.68861i 0.701156i
\(92\) −2.87944 3.83521i −0.300202 0.399848i
\(93\) 1.00210 0.419396i 0.103913 0.0434894i
\(94\) −1.04711 + 1.20843i −0.108001 + 0.124640i
\(95\) 0.448260 + 0.697506i 0.0459905 + 0.0715626i
\(96\) −1.48634 + 0.889272i −0.151699 + 0.0907609i
\(97\) −17.1163 + 7.81673i −1.73789 + 0.793669i −0.746096 + 0.665838i \(0.768074\pi\)
−0.991796 + 0.127831i \(0.959199\pi\)
\(98\) 1.44529 + 0.207801i 0.145996 + 0.0209911i
\(99\) 7.16286 13.3497i 0.719895 1.34170i
\(100\) −0.841254 0.540641i −0.0841254 0.0540641i
\(101\) 10.5432 + 4.81492i 1.04909 + 0.479102i 0.863933 0.503607i \(-0.167994\pi\)
0.185155 + 0.982709i \(0.440721\pi\)
\(102\) 0.652020 + 5.86228i 0.0645596 + 0.580452i
\(103\) 9.35916 8.10976i 0.922186 0.799078i −0.0577627 0.998330i \(-0.518397\pi\)
0.979948 + 0.199252i \(0.0638512\pi\)
\(104\) −1.73790 + 1.50590i −0.170415 + 0.147665i
\(105\) −0.556897 5.00703i −0.0543476 0.488636i
\(106\) 2.56209 + 1.17007i 0.248853 + 0.113647i
\(107\) 10.3027 + 6.62117i 0.996004 + 0.640093i 0.933735 0.357966i \(-0.116530\pi\)
0.0622698 + 0.998059i \(0.480166\pi\)
\(108\) −0.498559 + 5.17218i −0.0479739 + 0.497693i
\(109\) −2.88292 0.414501i −0.276133 0.0397020i 0.00285690 0.999996i \(-0.499091\pi\)
−0.278990 + 0.960294i \(0.590000\pi\)
\(110\) −4.59363 + 2.09784i −0.437986 + 0.200021i
\(111\) 11.5577 6.91491i 1.09700 0.656335i
\(112\) 1.57253 + 2.44690i 0.148590 + 0.231210i
\(113\) −7.14989 + 8.25141i −0.672605 + 0.776227i −0.984782 0.173797i \(-0.944396\pi\)
0.312177 + 0.950024i \(0.398942\pi\)
\(114\) −1.32475 + 0.554431i −0.124074 + 0.0519272i
\(115\) 3.84330 + 2.86863i 0.358390 + 0.267501i
\(116\) 5.00574i 0.464771i
\(117\) 0.542615 + 6.87734i 0.0501648 + 0.635810i
\(118\) 2.70296 1.73709i 0.248828 0.159912i
\(119\) 9.80441 1.40966i 0.898769 0.129223i
\(120\) 1.17559 1.27200i 0.107316 0.116117i
\(121\) −2.06390 + 14.3548i −0.187628 + 1.30498i
\(122\) 0.899565 0.264136i 0.0814428 0.0239138i
\(123\) 2.79998 15.8518i 0.252465 1.42931i
\(124\) 0.260544 0.570511i 0.0233975 0.0512334i
\(125\) 0.959493 + 0.281733i 0.0858197 + 0.0251989i
\(126\) 8.70800 + 0.558631i 0.775771 + 0.0497668i
\(127\) −8.58085 9.90283i −0.761428 0.878734i 0.234196 0.972189i \(-0.424754\pi\)
−0.995623 + 0.0934551i \(0.970209\pi\)
\(128\) −0.281733 + 0.959493i −0.0249019 + 0.0848080i
\(129\) 22.0827 + 0.707593i 1.94428 + 0.0623001i
\(130\) 1.24324 1.93452i 0.109039 0.169669i
\(131\) −3.79117 12.9115i −0.331236 1.12809i −0.941815 0.336131i \(-0.890882\pi\)
0.610580 0.791955i \(-0.290937\pi\)
\(132\) −2.19422 8.46714i −0.190983 0.736970i
\(133\) 1.00183 + 2.19369i 0.0868694 + 0.190217i
\(134\) 0.956045 + 6.64944i 0.0825897 + 0.574424i
\(135\) −0.978807 5.10313i −0.0842423 0.439208i
\(136\) 2.57367 + 2.23010i 0.220691 + 0.191230i
\(137\) 3.20692 0.273985 0.136993 0.990572i \(-0.456256\pi\)
0.136993 + 0.990572i \(0.456256\pi\)
\(138\) −6.05076 + 5.69107i −0.515075 + 0.484456i
\(139\) 5.63281 0.477769 0.238884 0.971048i \(-0.423218\pi\)
0.238884 + 0.971048i \(0.423218\pi\)
\(140\) −2.19820 1.90475i −0.185782 0.160981i
\(141\) 2.28072 + 1.57116i 0.192071 + 0.132316i
\(142\) −0.0408284 0.283968i −0.00342625 0.0238301i
\(143\) −4.82413 10.5634i −0.403414 0.883354i
\(144\) 1.81540 + 2.38837i 0.151284 + 0.199031i
\(145\) 1.41028 + 4.80297i 0.117117 + 0.398865i
\(146\) 6.57926 10.2375i 0.544503 0.847263i
\(147\) 0.0809966 2.52776i 0.00668049 0.208486i
\(148\) 2.19073 7.46095i 0.180077 0.613286i
\(149\) −12.7665 14.7333i −1.04587 1.20700i −0.977848 0.209317i \(-0.932876\pi\)
−0.0680244 0.997684i \(-0.521670\pi\)
\(150\) −0.769609 + 1.55168i −0.0628383 + 0.126694i
\(151\) 15.7100 + 4.61288i 1.27846 + 0.375391i 0.849336 0.527853i \(-0.177003\pi\)
0.429128 + 0.903244i \(0.358821\pi\)
\(152\) −0.344432 + 0.754201i −0.0279371 + 0.0611738i
\(153\) 9.96670 2.24482i 0.805760 0.181483i
\(154\) −14.0936 + 4.13825i −1.13569 + 0.333470i
\(155\) −0.0892583 + 0.620805i −0.00716940 + 0.0498643i
\(156\) 2.92505 + 2.70336i 0.234191 + 0.216442i
\(157\) −5.16592 + 0.742747i −0.412285 + 0.0592777i −0.345337 0.938479i \(-0.612235\pi\)
−0.0669484 + 0.997756i \(0.521326\pi\)
\(158\) 11.8024 7.58494i 0.938948 0.603425i
\(159\) 1.52365 4.63451i 0.120833 0.367540i
\(160\) 1.00000i 0.0790569i
\(161\) 9.87754 + 9.84976i 0.778459 + 0.776270i
\(162\) 8.99903 0.132045i 0.707031 0.0103745i
\(163\) 8.45544 9.75810i 0.662281 0.764314i −0.320867 0.947124i \(-0.603974\pi\)
0.983148 + 0.182811i \(0.0585196\pi\)
\(164\) −5.02456 7.81836i −0.392352 0.610511i
\(165\) 4.49081 + 7.50598i 0.349609 + 0.584340i
\(166\) −0.544847 + 0.248823i −0.0422883 + 0.0193124i
\(167\) −15.5160 2.23087i −1.20067 0.172630i −0.487181 0.873301i \(-0.661975\pi\)
−0.713484 + 0.700671i \(0.752884\pi\)
\(168\) 3.91110 3.17549i 0.301748 0.244995i
\(169\) −6.48773 4.16941i −0.499056 0.320724i
\(170\) −3.09771 1.41468i −0.237584 0.108501i
\(171\) 1.20806 + 2.17432i 0.0923826 + 0.166274i
\(172\) 9.64035 8.35341i 0.735070 0.636942i
\(173\) 9.99643 8.66196i 0.760014 0.658556i −0.186048 0.982541i \(-0.559568\pi\)
0.946062 + 0.323984i \(0.105023\pi\)
\(174\) −8.61706 + 0.958415i −0.653257 + 0.0726573i
\(175\) 2.64579 + 1.20829i 0.200003 + 0.0913382i
\(176\) −4.24832 2.73023i −0.320229 0.205799i
\(177\) −3.50781 4.32039i −0.263663 0.324740i
\(178\) −1.83508 0.263844i −0.137545 0.0197760i
\(179\) −11.4024 + 5.20730i −0.852255 + 0.389212i −0.793140 0.609039i \(-0.791555\pi\)
−0.0591153 + 0.998251i \(0.518828\pi\)
\(180\) −2.41475 1.78017i −0.179985 0.132686i
\(181\) −0.911784 1.41876i −0.0677724 0.105456i 0.805713 0.592306i \(-0.201782\pi\)
−0.873486 + 0.486850i \(0.838146\pi\)
\(182\) 4.38011 5.05491i 0.324675 0.374695i
\(183\) −0.626927 1.49797i −0.0463438 0.110733i
\(184\) −0.335395 + 4.78409i −0.0247256 + 0.352688i
\(185\) 7.77593i 0.571698i
\(186\) −1.03198 0.339277i −0.0756686 0.0248770i
\(187\) −14.4675 + 9.29768i −1.05797 + 0.679914i
\(188\) 1.58271 0.227559i 0.115431 0.0165964i
\(189\) −0.705615 15.0972i −0.0513260 1.09816i
\(190\) 0.117997 0.820688i 0.00856041 0.0595390i
\(191\) 16.6794 4.89752i 1.20688 0.354372i 0.384400 0.923166i \(-0.374408\pi\)
0.822480 + 0.568795i \(0.192590\pi\)
\(192\) 1.70565 + 0.301277i 0.123094 + 0.0217428i
\(193\) −7.60006 + 16.6418i −0.547064 + 1.19790i 0.411075 + 0.911601i \(0.365153\pi\)
−0.958139 + 0.286302i \(0.907574\pi\)
\(194\) 18.0545 + 5.30127i 1.29624 + 0.380609i
\(195\) −3.56819 1.76977i −0.255523 0.126736i
\(196\) −0.956197 1.10351i −0.0682998 0.0788221i
\(197\) −7.00601 + 23.8603i −0.499158 + 1.69997i 0.195560 + 0.980692i \(0.437348\pi\)
−0.694717 + 0.719283i \(0.744470\pi\)
\(198\) −14.1555 + 5.39836i −1.00599 + 0.383645i
\(199\) 1.32182 2.05679i 0.0937011 0.145802i −0.791238 0.611508i \(-0.790563\pi\)
0.884939 + 0.465706i \(0.154200\pi\)
\(200\) 0.281733 + 0.959493i 0.0199215 + 0.0678464i
\(201\) 11.2635 2.91890i 0.794469 0.205883i
\(202\) −4.81492 10.5432i −0.338777 0.741817i
\(203\) 2.07208 + 14.4117i 0.145432 + 1.01150i
\(204\) 3.34621 4.85740i 0.234282 0.340086i
\(205\) 7.02371 + 6.08608i 0.490557 + 0.425070i
\(206\) −12.3839 −0.862830
\(207\) 10.9553 + 9.32637i 0.761447 + 0.648227i
\(208\) 2.29957 0.159446
\(209\) −3.16439 2.74196i −0.218885 0.189665i
\(210\) −2.85803 + 4.14875i −0.197223 + 0.286291i
\(211\) −1.79182 12.4624i −0.123354 0.857946i −0.953713 0.300717i \(-0.902774\pi\)
0.830359 0.557228i \(-0.188135\pi\)
\(212\) −1.17007 2.56209i −0.0803607 0.175965i
\(213\) −0.481016 + 0.124653i −0.0329586 + 0.00854108i
\(214\) −3.45035 11.7508i −0.235861 0.803269i
\(215\) −6.89642 + 10.7310i −0.470332 + 0.731851i
\(216\) 3.76384 3.58239i 0.256097 0.243750i
\(217\) −0.513954 + 1.75037i −0.0348895 + 0.118823i
\(218\) 1.90732 + 2.20117i 0.129180 + 0.149082i
\(219\) −18.8829 9.36566i −1.27599 0.632872i
\(220\) 4.84543 + 1.42275i 0.326679 + 0.0959215i
\(221\) 3.25315 7.12341i 0.218831 0.479172i
\(222\) −13.2630 2.34271i −0.890154 0.157232i
\(223\) 20.5687 6.03950i 1.37738 0.404435i 0.492523 0.870299i \(-0.336075\pi\)
0.884856 + 0.465864i \(0.154257\pi\)
\(224\) 0.413942 2.87903i 0.0276576 0.192363i
\(225\) 2.81846 + 1.02774i 0.187898 + 0.0685163i
\(226\) 10.8070 1.55382i 0.718874 0.103358i
\(227\) 12.0186 7.72389i 0.797703 0.512653i −0.0771623 0.997019i \(-0.524586\pi\)
0.874866 + 0.484366i \(0.160950\pi\)
\(228\) 1.36425 + 0.448516i 0.0903499 + 0.0297037i
\(229\) 14.9609i 0.988647i −0.869278 0.494323i \(-0.835416\pi\)
0.869278 0.494323i \(-0.164584\pi\)
\(230\) −1.02602 4.68479i −0.0676541 0.308906i
\(231\) 9.82213 + 23.4689i 0.646249 + 1.54414i
\(232\) −3.27806 + 3.78308i −0.215215 + 0.248372i
\(233\) 0.905245 + 1.40859i 0.0593046 + 0.0922798i 0.869640 0.493687i \(-0.164351\pi\)
−0.810335 + 0.585967i \(0.800715\pi\)
\(234\) 4.09362 5.55288i 0.267608 0.363003i
\(235\) −1.45449 + 0.664241i −0.0948802 + 0.0433303i
\(236\) −3.18032 0.457260i −0.207021 0.0297651i
\(237\) −15.3167 18.8648i −0.994928 1.22540i
\(238\) −8.33281 5.35517i −0.540136 0.347124i
\(239\) 4.50033 + 2.05523i 0.291102 + 0.132942i 0.555614 0.831441i \(-0.312483\pi\)
−0.264511 + 0.964383i \(0.585211\pi\)
\(240\) −1.72144 + 0.191463i −0.111118 + 0.0123589i
\(241\) 19.4858 16.8845i 1.25519 1.08763i 0.262754 0.964863i \(-0.415369\pi\)
0.992436 0.122765i \(-0.0391761\pi\)
\(242\) 10.9602 9.49704i 0.704546 0.610493i
\(243\) −1.95029 15.4660i −0.125111 0.992143i
\(244\) −0.852818 0.389469i −0.0545961 0.0249332i
\(245\) 1.22836 + 0.789418i 0.0784769 + 0.0504341i
\(246\) −12.4968 + 10.1464i −0.796766 + 0.646910i
\(247\) 1.88723 + 0.271343i 0.120082 + 0.0172651i
\(248\) −0.570511 + 0.260544i −0.0362275 + 0.0165445i
\(249\) 0.532651 + 0.890278i 0.0337554 + 0.0564191i
\(250\) −0.540641 0.841254i −0.0341931 0.0532055i
\(251\) −10.2626 + 11.8437i −0.647769 + 0.747565i −0.980728 0.195376i \(-0.937407\pi\)
0.332959 + 0.942941i \(0.391953\pi\)
\(252\) −6.21524 6.12471i −0.391524 0.385821i
\(253\) −22.7038 8.43167i −1.42737 0.530095i
\(254\) 13.1033i 0.822176i
\(255\) −1.84218 + 5.60337i −0.115362 + 0.350897i
\(256\) 0.841254 0.540641i 0.0525783 0.0337901i
\(257\) −8.90910 + 1.28094i −0.555735 + 0.0799026i −0.414459 0.910068i \(-0.636029\pi\)
−0.141275 + 0.989970i \(0.545120\pi\)
\(258\) −16.2256 14.9959i −1.01016 0.933603i
\(259\) −3.21878 + 22.3871i −0.200005 + 1.39107i
\(260\) −2.20642 + 0.647864i −0.136836 + 0.0401788i
\(261\) 3.29970 + 14.6502i 0.204246 + 0.906825i
\(262\) −5.59008 + 12.2406i −0.345356 + 0.756225i
\(263\) 12.2930 + 3.60956i 0.758021 + 0.222575i 0.637832 0.770176i \(-0.279832\pi\)
0.120190 + 0.992751i \(0.461650\pi\)
\(264\) −3.88652 + 7.83595i −0.239199 + 0.482269i
\(265\) 1.84450 + 2.12866i 0.113307 + 0.130763i
\(266\) 0.679434 2.31394i 0.0416588 0.141877i
\(267\) −0.102841 + 3.20948i −0.00629376 + 0.196417i
\(268\) 3.63193 5.65139i 0.221855 0.345214i
\(269\) −4.29174 14.6163i −0.261672 0.891172i −0.980589 0.196076i \(-0.937180\pi\)
0.718917 0.695096i \(-0.244638\pi\)
\(270\) −2.60211 + 4.49767i −0.158359 + 0.273720i
\(271\) −1.85058 4.05220i −0.112415 0.246153i 0.845060 0.534672i \(-0.179565\pi\)
−0.957474 + 0.288518i \(0.906837\pi\)
\(272\) −0.484647 3.37079i −0.0293860 0.204384i
\(273\) −9.54034 6.57224i −0.577407 0.397770i
\(274\) −2.42363 2.10008i −0.146417 0.126871i
\(275\) −5.04999 −0.304526
\(276\) 8.29972 0.338618i 0.499584 0.0203824i
\(277\) 18.8994 1.13556 0.567778 0.823181i \(-0.307803\pi\)
0.567778 + 0.823181i \(0.307803\pi\)
\(278\) −4.25699 3.68871i −0.255318 0.221234i
\(279\) −0.386457 + 1.84145i −0.0231366 + 0.110245i
\(280\) 0.413942 + 2.87903i 0.0247378 + 0.172055i
\(281\) 2.64520 + 5.79218i 0.157799 + 0.345532i 0.971974 0.235087i \(-0.0755376\pi\)
−0.814175 + 0.580620i \(0.802810\pi\)
\(282\) −0.694758 2.68096i −0.0413723 0.159649i
\(283\) 7.92045 + 26.9746i 0.470822 + 1.60347i 0.762522 + 0.646963i \(0.223961\pi\)
−0.291700 + 0.956510i \(0.594221\pi\)
\(284\) −0.155103 + 0.241346i −0.00920369 + 0.0143212i
\(285\) −1.43535 0.0459928i −0.0850230 0.00272438i
\(286\) −3.27170 + 11.1424i −0.193460 + 0.658864i
\(287\) 17.7022 + 20.4294i 1.04493 + 1.20591i
\(288\) 0.192060 2.99385i 0.0113172 0.176414i
\(289\) 5.18401 + 1.52216i 0.304942 + 0.0895389i
\(290\) 2.07946 4.55338i 0.122110 0.267384i
\(291\) 5.66903 32.0946i 0.332324 1.88142i
\(292\) −11.6764 + 3.42851i −0.683311 + 0.200638i
\(293\) 3.78894 26.3527i 0.221353 1.53954i −0.511578 0.859237i \(-0.670939\pi\)
0.732930 0.680304i \(-0.238152\pi\)
\(294\) −1.71654 + 1.85731i −0.100111 + 0.108321i
\(295\) 3.18032 0.457260i 0.185165 0.0266227i
\(296\) −6.54153 + 4.20399i −0.380219 + 0.244352i
\(297\) 12.0032 + 23.3343i 0.696496 + 1.35399i
\(298\) 19.4950i 1.12931i
\(299\) 10.7730 2.35942i 0.623019 0.136449i
\(300\) 1.59776 0.668692i 0.0922470 0.0386070i
\(301\) −24.2970 + 28.0403i −1.40046 + 1.61621i
\(302\) −8.85206 13.7741i −0.509379 0.792609i
\(303\) −17.2276 + 10.3072i −0.989698 + 0.592134i
\(304\) 0.754201 0.344432i 0.0432564 0.0197545i
\(305\) 0.927999 + 0.133426i 0.0531371 + 0.00763996i
\(306\) −9.00237 4.83027i −0.514631 0.276128i
\(307\) 4.83850 + 3.10951i 0.276148 + 0.177469i 0.671383 0.741111i \(-0.265701\pi\)
−0.395235 + 0.918580i \(0.629337\pi\)
\(308\) 13.3612 + 6.10185i 0.761325 + 0.347685i
\(309\) 2.37107 + 21.3182i 0.134886 + 1.21275i
\(310\) 0.473998 0.410721i 0.0269213 0.0233274i
\(311\) −9.48536 + 8.21911i −0.537866 + 0.466063i −0.880929 0.473249i \(-0.843081\pi\)
0.343063 + 0.939312i \(0.388536\pi\)
\(312\) −0.440283 3.95856i −0.0249261 0.224109i
\(313\) 29.1653 + 13.3193i 1.64852 + 0.752854i 0.999965 0.00831486i \(-0.00264673\pi\)
0.648554 + 0.761169i \(0.275374\pi\)
\(314\) 4.39054 + 2.82163i 0.247772 + 0.159234i
\(315\) 7.68901 + 4.12558i 0.433227 + 0.232450i
\(316\) −13.8867 1.99661i −0.781190 0.112318i
\(317\) −24.8940 + 11.3687i −1.39819 + 0.638531i −0.964874 0.262713i \(-0.915383\pi\)
−0.433313 + 0.901244i \(0.642656\pi\)
\(318\) −4.18646 + 2.50475i −0.234765 + 0.140459i
\(319\) −13.6668 21.2660i −0.765195 1.19067i
\(320\) −0.654861 + 0.755750i −0.0366078 + 0.0422477i
\(321\) −19.5677 + 8.18941i −1.09216 + 0.457088i
\(322\) −1.01472 13.9124i −0.0565484 0.775306i
\(323\) 2.82356i 0.157107i
\(324\) −6.88749 5.79332i −0.382638 0.321851i
\(325\) 1.93452 1.24324i 0.107308 0.0689626i
\(326\) −12.7804 + 1.83754i −0.707841 + 0.101772i
\(327\) 3.42399 3.70478i 0.189347 0.204875i
\(328\) −1.32263 + 9.19911i −0.0730301 + 0.507936i
\(329\) −4.46246 + 1.31030i −0.246023 + 0.0722390i
\(330\) 1.52144 8.61350i 0.0837528 0.474157i
\(331\) −12.0307 + 26.3435i −0.661265 + 1.44797i 0.220073 + 0.975483i \(0.429370\pi\)
−0.881338 + 0.472486i \(0.843357\pi\)
\(332\) 0.574712 + 0.168751i 0.0315414 + 0.00926140i
\(333\) −1.49344 + 23.2799i −0.0818402 + 1.27573i
\(334\) 10.2653 + 11.8468i 0.561693 + 0.648228i
\(335\) −1.89263 + 6.44570i −0.103405 + 0.352166i
\(336\) −5.03532 0.161346i −0.274699 0.00880213i
\(337\) −0.477074 + 0.742341i −0.0259879 + 0.0404379i −0.854004 0.520266i \(-0.825833\pi\)
0.828017 + 0.560704i \(0.189469\pi\)
\(338\) 2.17272 + 7.39959i 0.118180 + 0.402485i
\(339\) −4.74395 18.3061i −0.257656 0.994253i
\(340\) 1.41468 + 3.09771i 0.0767217 + 0.167997i
\(341\) −0.450753 3.13506i −0.0244097 0.169773i
\(342\) 0.510886 2.43435i 0.0276256 0.131635i
\(343\) −12.1777 10.5520i −0.657533 0.569756i
\(344\) −12.7560 −0.687758
\(345\) −7.86812 + 2.66320i −0.423605 + 0.143382i
\(346\) −13.2272 −0.711097
\(347\) −10.9084 9.45219i −0.585594 0.507420i 0.310920 0.950436i \(-0.399363\pi\)
−0.896514 + 0.443016i \(0.853908\pi\)
\(348\) 7.13997 + 4.91865i 0.382742 + 0.263667i
\(349\) −2.43503 16.9360i −0.130344 0.906565i −0.945105 0.326767i \(-0.894041\pi\)
0.814761 0.579798i \(-0.196868\pi\)
\(350\) −1.20829 2.64579i −0.0645858 0.141423i
\(351\) −10.3427 5.98372i −0.552053 0.319388i
\(352\) 1.42275 + 4.84543i 0.0758326 + 0.258262i
\(353\) −2.71012 + 4.21702i −0.144245 + 0.224450i −0.905857 0.423584i \(-0.860772\pi\)
0.761612 + 0.648033i \(0.224408\pi\)
\(354\) −0.178230 + 5.56226i −0.00947284 + 0.295631i
\(355\) 0.0808257 0.275267i 0.00428978 0.0146097i
\(356\) 1.21408 + 1.40112i 0.0643460 + 0.0742592i
\(357\) −7.62316 + 15.3697i −0.403460 + 0.813452i
\(358\) 12.0274 + 3.53157i 0.635669 + 0.186649i
\(359\) 7.11904 15.5885i 0.375728 0.822730i −0.623437 0.781874i \(-0.714264\pi\)
0.999165 0.0408565i \(-0.0130087\pi\)
\(360\) 0.659184 + 2.92668i 0.0347420 + 0.154250i
\(361\) −17.5708 + 5.15924i −0.924777 + 0.271539i
\(362\) −0.240012 + 1.66932i −0.0126148 + 0.0877376i
\(363\) −18.4470 17.0489i −0.968217 0.894835i
\(364\) −6.62053 + 0.951888i −0.347010 + 0.0498925i
\(365\) 10.2375 6.57926i 0.535856 0.344374i
\(366\) −0.507163 + 1.54264i −0.0265098 + 0.0806352i
\(367\) 18.8645i 0.984719i 0.870392 + 0.492360i \(0.163866\pi\)
−0.870392 + 0.492360i \(0.836134\pi\)
\(368\) 3.38639 3.39594i 0.176528 0.177025i
\(369\) 19.8590 + 19.5698i 1.03382 + 1.01876i
\(370\) 5.09215 5.87666i 0.264728 0.305513i
\(371\) 4.42922 + 6.89200i 0.229954 + 0.357815i
\(372\) 0.557741 + 0.932214i 0.0289175 + 0.0483330i
\(373\) 14.5654 6.65180i 0.754168 0.344417i −0.000955204 1.00000i \(-0.500304\pi\)
0.755124 + 0.655582i \(0.227577\pi\)
\(374\) 17.0225 + 2.44746i 0.880211 + 0.126555i
\(375\) −1.34465 + 1.09175i −0.0694375 + 0.0563776i
\(376\) −1.34515 0.864475i −0.0693708 0.0445819i
\(377\) 10.4708 + 4.78186i 0.539274 + 0.246278i
\(378\) −9.35331 + 11.8718i −0.481082 + 0.610620i
\(379\) 18.7304 16.2300i 0.962118 0.833680i −0.0240021 0.999712i \(-0.507641\pi\)
0.986120 + 0.166032i \(0.0530954\pi\)
\(380\) −0.626613 + 0.542963i −0.0321445 + 0.0278534i
\(381\) 22.5565 2.50881i 1.15561 0.128530i
\(382\) −15.8127 7.22140i −0.809046 0.369479i
\(383\) −6.71524 4.31562i −0.343133 0.220518i 0.357712 0.933832i \(-0.383557\pi\)
−0.700845 + 0.713314i \(0.747193\pi\)
\(384\) −1.09175 1.34465i −0.0557130 0.0686189i
\(385\) −14.5391 2.09040i −0.740979 0.106537i
\(386\) 16.6418 7.60006i 0.847046 0.386833i
\(387\) −22.7078 + 30.8026i −1.15430 + 1.56578i
\(388\) −10.1731 15.8296i −0.516459 0.803626i
\(389\) −21.2603 + 24.5357i −1.07794 + 1.24401i −0.109708 + 0.993964i \(0.534991\pi\)
−0.968234 + 0.250047i \(0.919554\pi\)
\(390\) 1.53770 + 3.67417i 0.0778647 + 0.186049i
\(391\) −5.72899 15.2942i −0.289727 0.773461i
\(392\) 1.46015i 0.0737488i
\(393\) 22.1416 + 7.27934i 1.11690 + 0.367194i
\(394\) 20.9200 13.4444i 1.05393 0.677321i
\(395\) 13.8867 1.99661i 0.698717 0.100460i
\(396\) 14.2332 + 5.19009i 0.715246 + 0.260812i
\(397\) 1.84971 12.8650i 0.0928340 0.645675i −0.889277 0.457370i \(-0.848792\pi\)
0.982111 0.188305i \(-0.0602994\pi\)
\(398\) −2.34587 + 0.688810i −0.117588 + 0.0345269i
\(399\) −4.11339 0.726567i −0.205927 0.0363739i
\(400\) 0.415415 0.909632i 0.0207708 0.0454816i
\(401\) −14.8023 4.34636i −0.739193 0.217047i −0.109605 0.993975i \(-0.534958\pi\)
−0.629589 + 0.776928i \(0.716777\pi\)
\(402\) −10.4239 5.17010i −0.519896 0.257861i
\(403\) 0.944482 + 1.08999i 0.0470480 + 0.0542963i
\(404\) −3.26546 + 11.1211i −0.162463 + 0.553297i
\(405\) 8.24066 + 3.61822i 0.409482 + 0.179791i
\(406\) 7.87165 12.2485i 0.390664 0.607884i
\(407\) −11.0632 37.6777i −0.548381 1.86762i
\(408\) −5.70981 + 1.47967i −0.282678 + 0.0732547i
\(409\) −4.24040 9.28518i −0.209674 0.459122i 0.775352 0.631530i \(-0.217573\pi\)
−0.985026 + 0.172407i \(0.944845\pi\)
\(410\) −1.32263 9.19911i −0.0653201 0.454311i
\(411\) −3.15112 + 4.57421i −0.155433 + 0.225629i
\(412\) 9.35916 + 8.10976i 0.461093 + 0.399539i
\(413\) 9.34550 0.459862
\(414\) −2.17200 14.2226i −0.106748 0.699003i
\(415\) −0.598975 −0.0294025
\(416\) −1.73790 1.50590i −0.0852075 0.0738327i
\(417\) −5.53481 + 8.03440i −0.271041 + 0.393446i
\(418\) 0.595884 + 4.14446i 0.0291456 + 0.202712i
\(419\) −4.34843 9.52173i −0.212435 0.465167i 0.773178 0.634190i \(-0.218666\pi\)
−0.985612 + 0.169023i \(0.945939\pi\)
\(420\) 4.87681 1.26380i 0.237964 0.0616673i
\(421\) 2.95900 + 10.0774i 0.144213 + 0.491143i 0.999641 0.0267772i \(-0.00852446\pi\)
−0.855429 + 0.517921i \(0.826706\pi\)
\(422\) −6.80696 + 10.5918i −0.331357 + 0.515602i
\(423\) −4.48208 + 1.70929i −0.217926 + 0.0831084i
\(424\) −0.793536 + 2.70253i −0.0385375 + 0.131247i
\(425\) −2.23010 2.57367i −0.108176 0.124841i
\(426\) 0.445158 + 0.220792i 0.0215680 + 0.0106974i
\(427\) 2.61651 + 0.768276i 0.126622 + 0.0371795i
\(428\) −5.08755 + 11.1402i −0.245916 + 0.538481i
\(429\) 19.8073 + 3.49867i 0.956307 + 0.168917i
\(430\) 12.2393 3.59378i 0.590232 0.173308i
\(431\) 5.07581 35.3030i 0.244493 1.70049i −0.384539 0.923109i \(-0.625640\pi\)
0.629032 0.777379i \(-0.283451\pi\)
\(432\) −5.19049 + 0.242593i −0.249727 + 0.0116718i
\(433\) 21.8815 3.14608i 1.05156 0.151191i 0.405202 0.914227i \(-0.367201\pi\)
0.646356 + 0.763036i \(0.276292\pi\)
\(434\) 1.53467 0.986271i 0.0736664 0.0473425i
\(435\) −8.23649 2.70785i −0.394909 0.129831i
\(436\) 2.91256i 0.139486i
\(437\) 3.17988 2.38742i 0.152114 0.114206i
\(438\) 8.13756 + 19.4438i 0.388828 + 0.929060i
\(439\) 17.2050 19.8556i 0.821148 0.947656i −0.178191 0.983996i \(-0.557025\pi\)
0.999339 + 0.0363403i \(0.0115700\pi\)
\(440\) −2.73023 4.24832i −0.130159 0.202531i
\(441\) 3.52590 + 2.59931i 0.167900 + 0.123777i
\(442\) −7.12341 + 3.25315i −0.338826 + 0.154737i
\(443\) −16.9990 2.44408i −0.807645 0.116122i −0.273890 0.961761i \(-0.588310\pi\)
−0.533755 + 0.845639i \(0.679220\pi\)
\(444\) 8.48936 + 10.4559i 0.402887 + 0.496216i
\(445\) −1.55964 1.00232i −0.0739340 0.0475145i
\(446\) −19.4998 8.90525i −0.923342 0.421676i
\(447\) 33.5594 3.73257i 1.58730 0.176545i
\(448\) −2.19820 + 1.90475i −0.103855 + 0.0899910i
\(449\) −10.9190 + 9.46134i −0.515298 + 0.446508i −0.873279 0.487221i \(-0.838011\pi\)
0.357981 + 0.933729i \(0.383465\pi\)
\(450\) −1.45702 2.62242i −0.0686848 0.123622i
\(451\) −42.6918 19.4967i −2.01028 0.918064i
\(452\) −9.18496 5.90281i −0.432024 0.277645i
\(453\) −22.0163 + 17.8755i −1.03442 + 0.839863i
\(454\) −14.1411 2.03319i −0.663676 0.0954223i
\(455\) 6.08417 2.77855i 0.285230 0.130260i
\(456\) −0.737319 1.23236i −0.0345281 0.0577106i
\(457\) −17.2324 26.8142i −0.806098 1.25431i −0.963747 0.266818i \(-0.914028\pi\)
0.157649 0.987495i \(-0.449609\pi\)
\(458\) −9.79733 + 11.3067i −0.457799 + 0.528328i
\(459\) −6.59138 + 16.4218i −0.307659 + 0.766505i
\(460\) −2.29247 + 4.21243i −0.106887 + 0.196406i
\(461\) 18.7357i 0.872606i 0.899800 + 0.436303i \(0.143712\pi\)
−0.899800 + 0.436303i \(0.856288\pi\)
\(462\) 7.94577 24.1687i 0.369671 1.12443i
\(463\) −17.2909 + 11.1122i −0.803576 + 0.516427i −0.876781 0.480890i \(-0.840314\pi\)
0.0732047 + 0.997317i \(0.476677\pi\)
\(464\) 4.95479 0.712391i 0.230020 0.0330719i
\(465\) −0.797784 0.737319i −0.0369963 0.0341923i
\(466\) 0.238291 1.65735i 0.0110386 0.0767753i
\(467\) −0.522219 + 0.153337i −0.0241654 + 0.00709560i −0.293793 0.955869i \(-0.594918\pi\)
0.269628 + 0.962965i \(0.413099\pi\)
\(468\) −6.73011 + 1.51584i −0.311100 + 0.0700697i
\(469\) −8.11708 + 17.7739i −0.374812 + 0.820723i
\(470\) 1.53421 + 0.450485i 0.0707679 + 0.0207793i
\(471\) 4.01662 8.09827i 0.185076 0.373149i
\(472\) 2.10408 + 2.42824i 0.0968481 + 0.111769i
\(473\) 18.1486 61.8084i 0.834472 2.84195i
\(474\) −0.778237 + 24.2874i −0.0357456 + 1.11556i
\(475\) 0.448260 0.697506i 0.0205676 0.0320038i
\(476\) 2.79063 + 9.50400i 0.127908 + 0.435615i
\(477\) 5.11331 + 6.72715i 0.234123 + 0.308015i
\(478\) −2.05523 4.50033i −0.0940041 0.205840i
\(479\) 1.27685 + 8.88069i 0.0583408 + 0.405769i 0.997976 + 0.0635913i \(0.0202554\pi\)
−0.939635 + 0.342178i \(0.888835\pi\)
\(480\) 1.42636 + 0.982602i 0.0651040 + 0.0448495i
\(481\) 13.5138 + 11.7098i 0.616175 + 0.533919i
\(482\) −25.7834 −1.17440
\(483\) −23.7550 + 4.41049i −1.08089 + 0.200684i
\(484\) −14.5024 −0.659199
\(485\) 14.2207 + 12.3223i 0.645729 + 0.559527i
\(486\) −8.65413 + 12.9656i −0.392559 + 0.588130i
\(487\) 2.40765 + 16.7456i 0.109101 + 0.758815i 0.968770 + 0.247963i \(0.0797610\pi\)
−0.859669 + 0.510852i \(0.829330\pi\)
\(488\) 0.389469 + 0.852818i 0.0176304 + 0.0386053i
\(489\) 5.61019 + 21.6488i 0.253702 + 0.978993i
\(490\) −0.411373 1.40101i −0.0185839 0.0632910i
\(491\) 2.16943 3.37569i 0.0979049 0.152343i −0.788846 0.614592i \(-0.789321\pi\)
0.886750 + 0.462249i \(0.152957\pi\)
\(492\) 16.0889 + 0.515534i 0.725344 + 0.0232421i
\(493\) 4.80265 16.3563i 0.216300 0.736651i
\(494\) −1.24858 1.44094i −0.0561763 0.0648309i
\(495\) −15.1189 0.969899i −0.679543 0.0435937i
\(496\) 0.601783 + 0.176700i 0.0270209 + 0.00793404i
\(497\) 0.346644 0.759045i 0.0155491 0.0340478i
\(498\) 0.180457 1.02164i 0.00808648 0.0457808i
\(499\) −26.9318 + 7.90790i −1.20563 + 0.354006i −0.822005 0.569481i \(-0.807144\pi\)
−0.383630 + 0.923487i \(0.625326\pi\)
\(500\) −0.142315 + 0.989821i −0.00636451 + 0.0442662i
\(501\) 18.4281 19.9393i 0.823306 0.890823i
\(502\) 15.5119 2.23027i 0.692330 0.0995420i
\(503\) 0.215158 0.138274i 0.00959344 0.00616533i −0.535835 0.844323i \(-0.680003\pi\)
0.545429 + 0.838157i \(0.316367\pi\)
\(504\) 0.686333 + 8.69887i 0.0305717 + 0.387478i
\(505\) 11.5906i 0.515776i
\(506\) 11.6368 + 21.2400i 0.517319 + 0.944235i
\(507\) 12.3219 5.15694i 0.547236 0.229028i
\(508\) 8.58085 9.90283i 0.380714 0.439367i
\(509\) −14.9887 23.3228i −0.664361 1.03377i −0.995912 0.0903291i \(-0.971208\pi\)
0.331551 0.943437i \(-0.392428\pi\)
\(510\) 5.06166 3.02838i 0.224134 0.134099i
\(511\) 32.1975 14.7041i 1.42434 0.650472i
\(512\) −0.989821 0.142315i −0.0437443 0.00628949i
\(513\) −4.28839 0.413369i −0.189337 0.0182507i
\(514\) 7.57189 + 4.86616i 0.333982 + 0.214637i
\(515\) −11.2648 5.14448i −0.496388 0.226693i
\(516\) 2.44231 + 21.9587i 0.107517 + 0.966676i
\(517\) 6.10256 5.28790i 0.268390 0.232561i
\(518\) 17.0930 14.8112i 0.751025 0.650767i
\(519\) 2.53252 + 22.7697i 0.111165 + 0.999480i
\(520\) 2.09176 + 0.955276i 0.0917298 + 0.0418916i
\(521\) −16.3116 10.4828i −0.714624 0.459261i 0.132139 0.991231i \(-0.457815\pi\)
−0.846763 + 0.531970i \(0.821452\pi\)
\(522\) 7.10010 13.2327i 0.310763 0.579181i
\(523\) 33.3291 + 4.79201i 1.45738 + 0.209540i 0.825007 0.565123i \(-0.191171\pi\)
0.632374 + 0.774663i \(0.282080\pi\)
\(524\) 12.2406 5.59008i 0.534732 0.244204i
\(525\) −4.32321 + 2.58657i −0.188680 + 0.112887i
\(526\) −6.92670 10.7782i −0.302018 0.469950i
\(527\) 1.39869 1.61418i 0.0609281 0.0703147i
\(528\) 8.06869 3.37689i 0.351145 0.146960i
\(529\) 12.3802 19.3838i 0.538270 0.842773i
\(530\) 2.81663i 0.122346i
\(531\) 9.60920 0.758156i 0.417004 0.0329012i
\(532\) −2.02879 + 1.30382i −0.0879592 + 0.0565280i
\(533\) 21.1540 3.04148i 0.916281 0.131741i
\(534\) 2.17949 2.35822i 0.0943156 0.102050i
\(535\) 1.74292 12.1222i 0.0753528 0.524090i
\(536\) −6.44570 + 1.89263i −0.278412 + 0.0817491i
\(537\) 3.77656 21.3806i 0.162971 0.922641i
\(538\) −6.32817 + 13.8568i −0.272827 + 0.597407i
\(539\) −7.07506 2.07743i −0.304745 0.0894811i
\(540\) 4.91189 1.69510i 0.211374 0.0729453i
\(541\) −28.0981 32.4270i −1.20803 1.39414i −0.895988 0.444077i \(-0.853532\pi\)
−0.312045 0.950067i \(-0.601014\pi\)
\(542\) −1.25505 + 4.27432i −0.0539091 + 0.183598i
\(543\) 2.91958 + 0.0935517i 0.125291 + 0.00401469i
\(544\) −1.84113 + 2.86485i −0.0789378 + 0.122830i
\(545\) 0.820564 + 2.79458i 0.0351491 + 0.119707i
\(546\) 2.90620 + 11.2146i 0.124374 + 0.479939i
\(547\) −5.61803 12.3018i −0.240210 0.525985i 0.750679 0.660667i \(-0.229726\pi\)
−0.990889 + 0.134681i \(0.956999\pi\)
\(548\) 0.456392 + 3.17427i 0.0194961 + 0.135598i
\(549\) 2.75266 + 0.577689i 0.117481 + 0.0246552i
\(550\) 3.81653 + 3.30704i 0.162737 + 0.141013i
\(551\) 4.15039 0.176813
\(552\) −6.49426 5.17925i −0.276414 0.220444i
\(553\) 40.8068 1.73528
\(554\) −14.2832 12.3765i −0.606837 0.525827i
\(555\) −11.0912 7.64065i −0.470797 0.324327i
\(556\) 0.801633 + 5.57548i 0.0339968 + 0.236453i
\(557\) 5.09167 + 11.1492i 0.215741 + 0.472407i 0.986300 0.164962i \(-0.0527502\pi\)
−0.770559 + 0.637369i \(0.780023\pi\)
\(558\) 1.49796 1.13860i 0.0634137 0.0482008i
\(559\) 8.26416 + 28.1451i 0.349537 + 1.19041i
\(560\) 1.57253 2.44690i 0.0664514 0.103400i
\(561\) 0.953969 29.7717i 0.0402766 1.25696i
\(562\) 1.79396 6.10967i 0.0756737 0.257721i
\(563\) 12.3600 + 14.2642i 0.520913 + 0.601166i 0.953859 0.300254i \(-0.0970714\pi\)
−0.432946 + 0.901420i \(0.642526\pi\)
\(564\) −1.23059 + 2.48110i −0.0518173 + 0.104473i
\(565\) 10.4759 + 3.07601i 0.440725 + 0.129409i
\(566\) 11.6787 25.5728i 0.490893 1.07491i
\(567\) 22.2274 + 13.8281i 0.933462 + 0.580726i
\(568\) 0.275267 0.0808257i 0.0115500 0.00339137i
\(569\) −6.58264 + 45.7833i −0.275959 + 1.91933i 0.104478 + 0.994527i \(0.466683\pi\)
−0.380436 + 0.924807i \(0.624226\pi\)
\(570\) 1.05465 + 0.974716i 0.0441744 + 0.0408264i
\(571\) −27.6717 + 3.97859i −1.15803 + 0.166499i −0.694438 0.719552i \(-0.744347\pi\)
−0.463587 + 0.886051i \(0.653438\pi\)
\(572\) 9.76931 6.27835i 0.408475 0.262511i
\(573\) −9.40363 + 28.6031i −0.392842 + 1.19491i
\(574\) 27.0320i 1.12829i
\(575\) 1.01283 4.68766i 0.0422378 0.195489i
\(576\) −2.10570 + 2.13683i −0.0877375 + 0.0890344i
\(577\) −14.9959 + 17.3062i −0.624289 + 0.720468i −0.976516 0.215447i \(-0.930879\pi\)
0.352226 + 0.935915i \(0.385425\pi\)
\(578\) −2.92101 4.54518i −0.121498 0.189054i
\(579\) −16.2693 27.1927i −0.676130 1.13009i
\(580\) −4.55338 + 2.07946i −0.189069 + 0.0863448i
\(581\) −1.72447 0.247941i −0.0715429 0.0102863i
\(582\) −25.3019 + 20.5431i −1.04880 + 0.851538i
\(583\) −11.9659 7.69004i −0.495578 0.318489i
\(584\) 11.0696 + 5.05534i 0.458065 + 0.209191i
\(585\) 6.03043 3.35053i 0.249328 0.138527i
\(586\) −20.1208 + 17.4348i −0.831184 + 0.720225i
\(587\) 16.9777 14.7113i 0.700746 0.607200i −0.229860 0.973224i \(-0.573827\pi\)
0.930605 + 0.366024i \(0.119281\pi\)
\(588\) 2.51356 0.279566i 0.103657 0.0115291i
\(589\) 0.473026 + 0.216024i 0.0194907 + 0.00890111i
\(590\) −2.70296 1.73709i −0.111279 0.0715148i
\(591\) −27.1491 33.4382i −1.11677 1.37547i
\(592\) 7.69678 + 1.10663i 0.316336 + 0.0454822i
\(593\) 39.3189 17.9563i 1.61463 0.737378i 0.615905 0.787821i \(-0.288791\pi\)
0.998727 + 0.0504429i \(0.0160633\pi\)
\(594\) 6.20928 25.4953i 0.254770 1.04608i
\(595\) −5.35517 8.33281i −0.219541 0.341612i
\(596\) 12.7665 14.7333i 0.522936 0.603500i
\(597\) 1.63489 + 3.90638i 0.0669116 + 0.159878i
\(598\) −9.68678 5.27169i −0.396122 0.215575i
\(599\) 12.4176i 0.507370i −0.967287 0.253685i \(-0.918357\pi\)
0.967287 0.253685i \(-0.0816427\pi\)
\(600\) −1.64541 0.540949i −0.0671736 0.0220842i
\(601\) −18.2771 + 11.7459i −0.745536 + 0.479127i −0.857435 0.514592i \(-0.827943\pi\)
0.111898 + 0.993720i \(0.464307\pi\)
\(602\) 36.7249 5.28025i 1.49680 0.215207i
\(603\) −6.90420 + 18.9339i −0.281161 + 0.771049i
\(604\) −2.33016 + 16.2066i −0.0948128 + 0.659438i
\(605\) 13.9149 4.08579i 0.565723 0.166111i
\(606\) 19.7695 + 3.49199i 0.803082 + 0.141852i
\(607\) −20.1649 + 44.1550i −0.818468 + 1.79220i −0.252905 + 0.967491i \(0.581386\pi\)
−0.565563 + 0.824705i \(0.691341\pi\)
\(608\) −0.795542 0.233592i −0.0322635 0.00947341i
\(609\) −22.5922 11.2054i −0.915482 0.454066i
\(610\) −0.613960 0.708547i −0.0248585 0.0286882i
\(611\) −1.03592 + 3.52803i −0.0419089 + 0.142729i
\(612\) 3.64038 + 9.54578i 0.147154 + 0.385865i
\(613\) 7.74437 12.0505i 0.312792 0.486714i −0.648890 0.760883i \(-0.724766\pi\)
0.961682 + 0.274169i \(0.0884027\pi\)
\(614\) −1.62039 5.51855i −0.0653938 0.222711i
\(615\) −15.5824 + 4.03812i −0.628345 + 0.162833i
\(616\) −6.10185 13.3612i −0.245851 0.538338i
\(617\) 3.43825 + 23.9136i 0.138419 + 0.962724i 0.934101 + 0.357010i \(0.116204\pi\)
−0.795682 + 0.605715i \(0.792887\pi\)
\(618\) 12.1685 17.6639i 0.489489 0.710547i
\(619\) 27.4338 + 23.7715i 1.10266 + 0.955458i 0.999232 0.0391796i \(-0.0124745\pi\)
0.103425 + 0.994637i \(0.467020\pi\)
\(620\) −0.627189 −0.0251885
\(621\) −24.0674 + 6.46207i −0.965793 + 0.259314i
\(622\) 12.5509 0.503247
\(623\) −4.07535 3.53131i −0.163275 0.141479i
\(624\) −2.25956 + 3.28001i −0.0904549 + 0.131305i
\(625\) −0.142315 0.989821i −0.00569259 0.0395929i
\(626\) −13.3193 29.1653i −0.532348 1.16568i
\(627\) 7.02034 1.81929i 0.280365 0.0726554i
\(628\) −1.47037 5.00764i −0.0586743 0.199826i
\(629\) 14.3165 22.2769i 0.570836 0.888238i
\(630\) −3.10929 8.15314i −0.123877 0.324829i
\(631\) 4.70949 16.0391i 0.187482 0.638505i −0.811082 0.584932i \(-0.801121\pi\)
0.998564 0.0535723i \(-0.0170607\pi\)
\(632\) 9.18739 + 10.6028i 0.365455 + 0.421757i
\(633\) 19.5364 + 9.68979i 0.776504 + 0.385135i
\(634\) 26.2586 + 7.71021i 1.04286 + 0.306212i
\(635\) −5.44332 + 11.9192i −0.216012 + 0.472999i
\(636\) 4.80417 + 0.848584i 0.190498 + 0.0336486i
\(637\) 3.22171 0.945980i 0.127649 0.0374811i
\(638\) −3.59756 + 25.0216i −0.142429 + 0.990615i
\(639\) 0.294847 0.808584i 0.0116640 0.0319871i
\(640\) 0.989821 0.142315i 0.0391261 0.00562549i
\(641\) −5.47468 + 3.51836i −0.216237 + 0.138967i −0.644276 0.764793i \(-0.722841\pi\)
0.428039 + 0.903760i \(0.359205\pi\)
\(642\) 20.1512 + 6.62495i 0.795303 + 0.261466i
\(643\) 16.1619i 0.637364i 0.947862 + 0.318682i \(0.103240\pi\)
−0.947862 + 0.318682i \(0.896760\pi\)
\(644\) −8.34378 + 11.1788i −0.328791 + 0.440505i
\(645\) −8.52985 20.3811i −0.335862 0.802505i
\(646\) −1.84904 + 2.13390i −0.0727494 + 0.0839573i
\(647\) 23.9170 + 37.2156i 0.940275 + 1.46310i 0.885522 + 0.464597i \(0.153801\pi\)
0.0547526 + 0.998500i \(0.482563\pi\)
\(648\) 1.41140 + 8.88864i 0.0554449 + 0.349179i
\(649\) −14.7594 + 6.74040i −0.579358 + 0.264584i
\(650\) −2.27616 0.327263i −0.0892785 0.0128363i
\(651\) −1.99163 2.45300i −0.0780583 0.0961405i
\(652\) 10.8621 + 6.98066i 0.425393 + 0.273384i
\(653\) −20.2212 9.23471i −0.791316 0.361382i −0.0215989 0.999767i \(-0.506876\pi\)
−0.769718 + 0.638385i \(0.779603\pi\)
\(654\) −5.01379 + 0.557649i −0.196055 + 0.0218058i
\(655\) −10.1698 + 8.81221i −0.397368 + 0.344321i
\(656\) 7.02371 6.08608i 0.274230 0.237622i
\(657\) 31.9132 17.7311i 1.24505 0.691755i
\(658\) 4.23057 + 1.93203i 0.164925 + 0.0753186i
\(659\) 12.8865 + 8.28163i 0.501986 + 0.322607i 0.767010 0.641635i \(-0.221744\pi\)
−0.265024 + 0.964242i \(0.585380\pi\)
\(660\) −6.79047 + 5.51331i −0.264319 + 0.214605i
\(661\) −15.0779 2.16788i −0.586463 0.0843207i −0.157305 0.987550i \(-0.550281\pi\)
−0.429158 + 0.903229i \(0.641190\pi\)
\(662\) 26.3435 12.0307i 1.02387 0.467585i
\(663\) 6.96396 + 11.6396i 0.270458 + 0.452046i
\(664\) −0.323830 0.503890i −0.0125671 0.0195547i
\(665\) 1.57928 1.82259i 0.0612419 0.0706769i
\(666\) 16.3738 16.6158i 0.634471 0.643849i
\(667\) 22.4812 8.42114i 0.870476 0.326068i
\(668\) 15.6756i 0.606506i
\(669\) −11.5963 + 35.2727i −0.448340 + 1.36372i
\(670\) 5.65139 3.63193i 0.218332 0.140314i
\(671\) −4.68639 + 0.673801i −0.180916 + 0.0260118i
\(672\) 3.69978 + 3.41937i 0.142722 + 0.131905i
\(673\) 4.68728 32.6007i 0.180681 1.25667i −0.674476 0.738297i \(-0.735630\pi\)
0.855157 0.518369i \(-0.173460\pi\)
\(674\) 0.846678 0.248607i 0.0326128 0.00957599i
\(675\) −4.23536 + 3.01027i −0.163019 + 0.115865i
\(676\) 3.20367 7.01506i 0.123218 0.269810i
\(677\) −20.4813 6.01384i −0.787159 0.231131i −0.136640 0.990621i \(-0.543630\pi\)
−0.650519 + 0.759490i \(0.725449\pi\)
\(678\) −8.40273 + 16.9415i −0.322705 + 0.650634i
\(679\) 35.8411 + 41.3628i 1.37545 + 1.58736i
\(680\) 0.959428 3.26751i 0.0367924 0.125303i
\(681\) −0.792494 + 24.7323i −0.0303684 + 0.947745i
\(682\) −1.71237 + 2.66450i −0.0655700 + 0.102029i
\(683\) −5.03679 17.1537i −0.192728 0.656370i −0.997985 0.0634449i \(-0.979791\pi\)
0.805258 0.592925i \(-0.202027\pi\)
\(684\) −1.98026 + 1.50520i −0.0757172 + 0.0575528i
\(685\) −1.33220 2.91711i −0.0509008 0.111457i
\(686\) 2.29317 + 15.9494i 0.0875538 + 0.608950i
\(687\) 21.3396 + 14.7007i 0.814158 + 0.560865i
\(688\) 9.64035 + 8.35341i 0.367535 + 0.318471i
\(689\) 6.47703 0.246755
\(690\) 7.69036 + 3.13981i 0.292767 + 0.119531i
\(691\) −13.3942 −0.509541 −0.254770 0.967002i \(-0.582000\pi\)
−0.254770 + 0.967002i \(0.582000\pi\)
\(692\) 9.99643 + 8.66196i 0.380007 + 0.329278i
\(693\) −43.1262 9.05071i −1.63823 0.343808i
\(694\) 2.05416 + 14.2870i 0.0779747 + 0.542326i
\(695\) −2.33995 5.12379i −0.0887595 0.194356i
\(696\) −2.17500 8.39295i −0.0824430 0.318134i
\(697\) −8.91664 30.3673i −0.337742 1.15024i
\(698\) −9.25046 + 14.3940i −0.350135 + 0.544821i
\(699\) −2.89865 0.0928808i −0.109637 0.00351307i
\(700\) −0.819457 + 2.79081i −0.0309726 + 0.105483i
\(701\) 12.5528 + 14.4867i 0.474114 + 0.547157i 0.941551 0.336869i \(-0.109368\pi\)
−0.467437 + 0.884026i \(0.654823\pi\)
\(702\) 3.89799 + 11.2952i 0.147120 + 0.426311i
\(703\) 6.18608 + 1.81640i 0.233312 + 0.0685067i
\(704\) 2.09784 4.59363i 0.0790654 0.173129i
\(705\) 0.481736 2.72730i 0.0181432 0.102716i
\(706\) 4.80973 1.41227i 0.181017 0.0531513i
\(707\) 4.79784 33.3697i 0.180442 1.25500i
\(708\) 3.77720 4.08696i 0.141956 0.153597i
\(709\) −8.46439 + 1.21699i −0.317887 + 0.0457052i −0.299411 0.954124i \(-0.596790\pi\)
−0.0184753 + 0.999829i \(0.505881\pi\)
\(710\) −0.241346 + 0.155103i −0.00905754 + 0.00582093i
\(711\) 41.9582 3.31046i 1.57356 0.124152i
\(712\) 1.85395i 0.0694796i
\(713\) 3.00053 + 0.210356i 0.112371 + 0.00787788i
\(714\) 15.8262 6.62355i 0.592281 0.247880i
\(715\) −7.60477 + 8.77637i −0.284402 + 0.328218i
\(716\) −6.77703 10.5453i −0.253269 0.394095i
\(717\) −7.35353 + 4.39960i −0.274623 + 0.164306i
\(718\) −15.5885 + 7.11904i −0.581758 + 0.265680i
\(719\) 3.33514 + 0.479520i 0.124380 + 0.0178831i 0.204223 0.978924i \(-0.434533\pi\)
−0.0798439 + 0.996807i \(0.525442\pi\)
\(720\) 1.41839 2.64351i 0.0528604 0.0985179i
\(721\) −30.3023 19.4741i −1.12852 0.725253i
\(722\) 16.6577 + 7.60731i 0.619935 + 0.283115i
\(723\) 4.93657 + 44.3844i 0.183593 + 1.65068i
\(724\) 1.27456 1.10441i 0.0473687 0.0410452i
\(725\) 3.78308 3.27806i 0.140500 0.121744i
\(726\) 2.77668 + 24.9649i 0.103052 + 0.926535i
\(727\) 14.7572 + 6.73940i 0.547315 + 0.249950i 0.669828 0.742517i \(-0.266368\pi\)
−0.122513 + 0.992467i \(0.539095\pi\)
\(728\) 5.62681 + 3.61613i 0.208544 + 0.134023i
\(729\) 23.9764 + 12.4151i 0.888013 + 0.459818i
\(730\) −12.0455 1.73188i −0.445824 0.0640998i
\(731\) 39.5145 18.0457i 1.46150 0.667443i
\(732\) 1.39350 0.833730i 0.0515054 0.0308155i
\(733\) 12.5784 + 19.5723i 0.464592 + 0.722920i 0.991937 0.126732i \(-0.0404487\pi\)
−0.527345 + 0.849651i \(0.676812\pi\)
\(734\) 12.3536 14.2568i 0.455981 0.526230i
\(735\) −2.33298 + 0.976393i −0.0860532 + 0.0360148i
\(736\) −4.78313 + 0.348866i −0.176308 + 0.0128594i
\(737\) 33.9249i 1.24964i
\(738\) −2.19298 27.7947i −0.0807246 1.02314i
\(739\) −13.0422 + 8.38168i −0.479763 + 0.308325i −0.758077 0.652165i \(-0.773861\pi\)
0.278314 + 0.960490i \(0.410225\pi\)
\(740\) −7.69678 + 1.10663i −0.282939 + 0.0406805i
\(741\) −2.24143 + 2.42524i −0.0823409 + 0.0890934i
\(742\) 1.16592 8.10915i 0.0428023 0.297696i
\(743\) −10.6278 + 3.12061i −0.389897 + 0.114484i −0.470805 0.882238i \(-0.656036\pi\)
0.0809076 + 0.996722i \(0.474218\pi\)
\(744\) 0.188957 1.06976i 0.00692752 0.0392194i
\(745\) −8.09851 + 17.7333i −0.296706 + 0.649696i
\(746\) −15.3638 4.51122i −0.562509 0.165168i
\(747\) −1.79324 0.115039i −0.0656112 0.00420906i
\(748\) −11.2620 12.9970i −0.411779 0.475218i
\(749\) 10.0358 34.1788i 0.366700 1.24887i
\(750\) 1.73116 + 0.0554713i 0.0632131 + 0.00202553i
\(751\) 22.4095 34.8699i 0.817734 1.27242i −0.141537 0.989933i \(-0.545204\pi\)
0.959271 0.282487i \(-0.0911593\pi\)
\(752\) 0.450485 + 1.53421i 0.0164275 + 0.0559470i
\(753\) −6.80923 26.2757i −0.248142 0.957540i
\(754\) −4.78186 10.4708i −0.174145 0.381324i
\(755\) −2.33016 16.2066i −0.0848032 0.589819i
\(756\) 14.8431 2.84699i 0.539840 0.103544i
\(757\) 9.01821 + 7.81432i 0.327772 + 0.284016i 0.803164 0.595758i \(-0.203148\pi\)
−0.475392 + 0.879774i \(0.657694\pi\)
\(758\) −24.7839 −0.900193
\(759\) 34.3354 24.0987i 1.24629 0.874727i
\(760\) 0.829127 0.0300756
\(761\) 23.1990 + 20.1020i 0.840962 + 0.728698i 0.964625 0.263626i \(-0.0849185\pi\)
−0.123662 + 0.992324i \(0.539464\pi\)
\(762\) −18.6900 12.8754i −0.677068 0.466425i
\(763\) 1.20563 + 8.38535i 0.0436468 + 0.303570i
\(764\) 7.22140 + 15.8127i 0.261261 + 0.572082i
\(765\) −6.18228 8.13349i −0.223521 0.294067i
\(766\) 2.24891 + 7.65908i 0.0812564 + 0.276734i
\(767\) 3.99456 6.21565i 0.144235 0.224434i
\(768\) −0.0554713 + 1.73116i −0.00200165 + 0.0624679i
\(769\) −1.71133 + 5.82825i −0.0617121 + 0.210172i −0.984577 0.174952i \(-0.944023\pi\)
0.922865 + 0.385124i \(0.125841\pi\)
\(770\) 9.61897 + 11.1009i 0.346644 + 0.400048i
\(771\) 6.92704 13.9662i 0.249471 0.502981i
\(772\) −17.5540 5.15433i −0.631783 0.185508i
\(773\) −15.8915 + 34.7975i −0.571577 + 1.25158i 0.374376 + 0.927277i \(0.377857\pi\)
−0.945953 + 0.324303i \(0.894870\pi\)
\(774\) 37.3328 8.40856i 1.34190 0.302239i
\(775\) 0.601783 0.176700i 0.0216167 0.00634723i
\(776\) −2.67789 + 18.6252i −0.0961307 + 0.668604i
\(777\) −28.7692 26.5888i −1.03209 0.953867i
\(778\) 32.1350 4.62031i 1.15209 0.165646i
\(779\) 6.48242 4.16600i 0.232257 0.149262i
\(780\) 1.24395 3.78373i 0.0445406 0.135479i
\(781\) 1.44878i 0.0518415i
\(782\) −5.68590 + 15.3103i −0.203327 + 0.547495i
\(783\) −24.1387 9.68878i −0.862647 0.346249i
\(784\) 0.956197 1.10351i 0.0341499 0.0394111i
\(785\) 2.82163 + 4.39054i 0.100708 + 0.156705i
\(786\) −11.9666 20.0011i −0.426834 0.713414i
\(787\) −8.45767 + 3.86249i −0.301483 + 0.137683i −0.560413 0.828213i \(-0.689358\pi\)
0.258929 + 0.965896i \(0.416630\pi\)
\(788\) −24.6145 3.53903i −0.876854 0.126073i
\(789\) −17.2277 + 13.9875i −0.613322 + 0.497968i
\(790\) −11.8024 7.58494i −0.419910 0.269860i
\(791\) 28.8872 + 13.1923i 1.02711 + 0.469065i
\(792\) −7.35796 13.2432i −0.261454 0.470576i
\(793\) 1.62935 1.41184i 0.0578600 0.0501360i
\(794\) −9.82269 + 8.51141i −0.348594 + 0.302058i
\(795\) −4.84864 + 0.539281i −0.171964 + 0.0191263i
\(796\) 2.22397 + 1.01565i 0.0788264 + 0.0359988i
\(797\) −15.1712 9.74997i −0.537393 0.345362i 0.243625 0.969869i \(-0.421663\pi\)
−0.781019 + 0.624508i \(0.785300\pi\)
\(798\) 2.63289 + 3.24280i 0.0932033 + 0.114794i
\(799\) 5.38984 + 0.774942i 0.190679 + 0.0274155i
\(800\) −0.909632 + 0.415415i −0.0321603 + 0.0146871i
\(801\) −4.47682 3.30034i −0.158181 0.116612i
\(802\) 8.34060 + 12.9782i 0.294517 + 0.458277i
\(803\) −40.2446 + 46.4447i −1.42020 + 1.63900i
\(804\) 4.49215 + 10.7335i 0.158426 + 0.378541i
\(805\) 4.85638 13.0767i 0.171165 0.460892i
\(806\) 1.44226i 0.0508016i
\(807\) 25.0651 + 8.24048i 0.882335 + 0.290079i
\(808\) 9.75065 6.26637i 0.343027 0.220450i
\(809\) 20.1044 2.89058i 0.706834 0.101627i 0.220483 0.975391i \(-0.429237\pi\)
0.486351 + 0.873763i \(0.338328\pi\)
\(810\) −3.85845 8.13095i −0.135572 0.285693i
\(811\) −4.39202 + 30.5471i −0.154225 + 1.07266i 0.754813 + 0.655940i \(0.227728\pi\)
−0.909037 + 0.416715i \(0.863181\pi\)
\(812\) −13.9701 + 4.10199i −0.490254 + 0.143951i
\(813\) 7.59826 + 1.34212i 0.266483 + 0.0470701i
\(814\) −16.3127 + 35.7198i −0.571759 + 1.25198i
\(815\) −12.3888 3.63768i −0.433961 0.127422i
\(816\) 5.28417 + 2.62087i 0.184983 + 0.0917489i
\(817\) 6.92604 + 7.99308i 0.242312 + 0.279642i
\(818\) −2.87582 + 9.79414i −0.100551 + 0.342444i
\(819\) 18.7487 7.15002i 0.655133 0.249842i
\(820\) −5.02456 + 7.81836i −0.175465 + 0.273029i
\(821\) −7.60315 25.8940i −0.265352 0.903706i −0.979113 0.203316i \(-0.934828\pi\)
0.713761 0.700389i \(-0.246990\pi\)
\(822\) 5.37693 1.39341i 0.187542 0.0486006i
\(823\) −18.8561 41.2891i −0.657283 1.43925i −0.885033 0.465529i \(-0.845864\pi\)
0.227750 0.973720i \(-0.426863\pi\)
\(824\) −1.76242 12.2579i −0.0613968 0.427024i
\(825\) 4.96213 7.20308i 0.172759 0.250779i
\(826\) −7.06286 6.12000i −0.245748 0.212942i
\(827\) −7.45127 −0.259106 −0.129553 0.991572i \(-0.541354\pi\)
−0.129553 + 0.991572i \(0.541354\pi\)
\(828\) −7.67233 + 12.1711i −0.266632 + 0.422974i
\(829\) 5.79019 0.201101 0.100551 0.994932i \(-0.467940\pi\)
0.100551 + 0.994932i \(0.467940\pi\)
\(830\) 0.452675 + 0.392245i 0.0157126 + 0.0136150i
\(831\) −18.5706 + 26.9573i −0.644208 + 0.935139i
\(832\) 0.327263 + 2.27616i 0.0113458 + 0.0789118i
\(833\) −2.06565 4.52313i −0.0715704 0.156717i
\(834\) 9.44434 2.44746i 0.327031 0.0847486i
\(835\) 4.41632 + 15.0406i 0.152833 + 0.520502i
\(836\) 2.26371 3.52240i 0.0782920 0.121825i
\(837\) −2.24683 2.36064i −0.0776619 0.0815957i
\(838\) −2.94908 + 10.0437i −0.101874 + 0.346952i
\(839\) −21.2413 24.5138i −0.733331 0.846309i 0.259512 0.965740i \(-0.416438\pi\)
−0.992842 + 0.119431i \(0.961893\pi\)
\(840\) −4.51326 2.23851i −0.155722 0.0772360i
\(841\) −3.78289 1.11076i −0.130445 0.0383020i
\(842\) 4.36305 9.55374i 0.150360 0.329244i
\(843\) −10.8609 1.91841i −0.374069 0.0660736i
\(844\) 12.0805 3.54716i 0.415829 0.122098i
\(845\) −1.09753 + 7.63348i −0.0377562 + 0.262600i
\(846\) 4.50667 + 1.64334i 0.154943 + 0.0564993i
\(847\) 41.7528 6.00314i 1.43464 0.206270i
\(848\) 2.36950 1.52278i 0.0813689 0.0522926i
\(849\) −46.2580 15.2079i −1.58757 0.521934i
\(850\) 3.40546i 0.116806i
\(851\) 37.1933 2.71276i 1.27497 0.0929922i
\(852\) −0.191840 0.458379i −0.00657232 0.0157038i
\(853\) −16.8812 + 19.4819i −0.578001 + 0.667049i −0.967174 0.254116i \(-0.918215\pi\)
0.389173 + 0.921165i \(0.372761\pi\)
\(854\) −1.47431 2.29407i −0.0504498 0.0785015i
\(855\) 1.47598 2.00213i 0.0504776 0.0684715i
\(856\) 11.1402 5.08755i 0.380763 0.173889i
\(857\) −16.1574 2.32308i −0.551926 0.0793550i −0.139291 0.990251i \(-0.544482\pi\)
−0.412635 + 0.910897i \(0.635391\pi\)
\(858\) −12.6782 15.6152i −0.432828 0.533093i
\(859\) −23.4056 15.0419i −0.798590 0.513223i 0.0765651 0.997065i \(-0.475605\pi\)
−0.875156 + 0.483842i \(0.839241\pi\)
\(860\) −11.6033 5.29904i −0.395669 0.180696i
\(861\) −46.5338 + 5.17563i −1.58587 + 0.176385i
\(862\) −26.9546 + 23.3563i −0.918078 + 0.795519i
\(863\) −34.5532 + 29.9405i −1.17620 + 1.01919i −0.176815 + 0.984244i \(0.556579\pi\)
−0.999389 + 0.0349424i \(0.988875\pi\)
\(864\) 4.08157 + 3.21571i 0.138858 + 0.109401i
\(865\) −12.0319 5.49477i −0.409095 0.186828i
\(866\) −18.5972 11.9517i −0.631958 0.406135i
\(867\) −7.26496 + 5.89856i −0.246731 + 0.200326i
\(868\) −1.80569 0.259620i −0.0612893 0.00881207i
\(869\) −64.4465 + 29.4317i −2.18620 + 0.998403i
\(870\) 4.45146 + 7.44021i 0.150919 + 0.252247i
\(871\) 8.35187 + 12.9958i 0.282992 + 0.440345i
\(872\) −1.90732 + 2.20117i −0.0645901 + 0.0745409i
\(873\) 40.2080 + 39.6223i 1.36083 + 1.34101i
\(874\) −3.96662 0.278085i −0.134173 0.00940636i
\(875\) 2.90863i 0.0983298i
\(876\) 6.58301 20.0236i 0.222419 0.676535i
\(877\) 0.249324 0.160231i 0.00841906 0.00541060i −0.536425 0.843948i \(-0.680225\pi\)
0.544844 + 0.838538i \(0.316589\pi\)
\(878\) −26.0053 + 3.73900i −0.877636 + 0.126185i
\(879\) 33.8653 + 31.2986i 1.14225 + 1.05568i
\(880\) −0.718688 + 4.99859i −0.0242270 + 0.168502i
\(881\) 28.3440 8.32255i 0.954933 0.280394i 0.233094 0.972454i \(-0.425115\pi\)
0.721840 + 0.692060i \(0.243297\pi\)
\(882\) −0.962509 4.27340i −0.0324094 0.143893i
\(883\) −5.65795 + 12.3892i −0.190405 + 0.416929i −0.980625 0.195894i \(-0.937239\pi\)
0.790220 + 0.612824i \(0.209966\pi\)
\(884\) 7.51387 + 2.20627i 0.252719 + 0.0742050i
\(885\) −2.47277 + 4.98557i −0.0831212 + 0.167588i
\(886\) 11.2464 + 12.9791i 0.377831 + 0.436040i
\(887\) −15.0909 + 51.3950i −0.506704 + 1.72568i 0.166335 + 0.986069i \(0.446807\pi\)
−0.673039 + 0.739607i \(0.735011\pi\)
\(888\) 0.431341 13.4614i 0.0144749 0.451735i
\(889\) −20.6053 + 32.0625i −0.691080 + 1.07534i
\(890\) 0.522317 + 1.77885i 0.0175081 + 0.0596272i
\(891\) −45.0773 5.80746i −1.51015 0.194557i
\(892\) 8.90525 + 19.4998i 0.298170 + 0.652901i
\(893\) 0.188675 + 1.31227i 0.00631378 + 0.0439133i
\(894\) −27.8068 19.1558i −0.929998 0.640666i
\(895\) 9.47346 + 8.20880i 0.316663 + 0.274390i
\(896\) 2.90863 0.0971706
\(897\) −7.22021 + 17.6845i −0.241076 + 0.590469i
\(898\) 14.4479 0.482131
\(899\) 2.37271 + 2.05596i 0.0791342 + 0.0685702i
\(900\) −0.616174 + 2.93604i −0.0205391 + 0.0978680i
\(901\) −1.36507 9.49427i −0.0454771 0.316300i
\(902\) 19.4967 + 42.6918i 0.649169 + 1.42148i
\(903\) −16.1211 62.2086i −0.536476 2.07017i
\(904\) 3.07601 + 10.4759i 0.102306 + 0.348424i
\(905\) −0.911784 + 1.41876i −0.0303087 + 0.0471613i
\(906\) 28.3448 + 0.908247i 0.941692 + 0.0301745i
\(907\) −10.8438 + 36.9304i −0.360061 + 1.22625i 0.558008 + 0.829835i \(0.311566\pi\)
−0.918069 + 0.396420i \(0.870253\pi\)
\(908\) 9.35570 + 10.7971i 0.310480 + 0.358313i
\(909\) 2.22609 34.7005i 0.0738348 1.15094i
\(910\) −6.41767 1.88440i −0.212744 0.0624672i
\(911\) −21.0876 + 46.1754i −0.698664 + 1.52986i 0.142920 + 0.989734i \(0.454351\pi\)
−0.841584 + 0.540126i \(0.818377\pi\)
\(912\) −0.249797 + 1.41420i −0.00827160 + 0.0468288i
\(913\) 2.90229 0.852189i 0.0960518 0.0282033i
\(914\) −4.53615 + 31.5496i −0.150042 + 1.04357i
\(915\) −1.10217 + 1.19255i −0.0364365 + 0.0394246i
\(916\) 14.8087 2.12916i 0.489292 0.0703495i
\(917\) −32.9270 + 21.1609i −1.08734 + 0.698794i
\(918\) 15.7354 8.09435i 0.519347 0.267153i
\(919\) 47.7070i 1.57371i −0.617140 0.786854i \(-0.711709\pi\)
0.617140 0.786854i \(-0.288291\pi\)
\(920\) 4.49109 1.68230i 0.148067 0.0554637i
\(921\) −9.18959 + 3.84601i −0.302807 + 0.126730i
\(922\) 12.2692 14.1595i 0.404066 0.466317i
\(923\) −0.356671 0.554991i −0.0117400 0.0182678i
\(924\) −21.8322 + 13.0621i −0.718225 + 0.429712i
\(925\) 7.07324 3.23024i 0.232567 0.106210i
\(926\) 20.3445 + 2.92510i 0.668563 + 0.0961248i
\(927\) −32.7371 17.5653i −1.07523 0.576920i
\(928\) −4.21109 2.70631i −0.138236 0.0888388i
\(929\) −7.08313 3.23476i −0.232390 0.106129i 0.295817 0.955245i \(-0.404408\pi\)
−0.528207 + 0.849116i \(0.677135\pi\)
\(930\) 0.120084 + 1.07967i 0.00393770 + 0.0354036i
\(931\) 0.914950 0.792809i 0.0299863 0.0259833i
\(932\) −1.26542 + 1.09649i −0.0414503 + 0.0359169i
\(933\) −2.40304 21.6056i −0.0786721 0.707337i
\(934\) 0.495081 + 0.226096i 0.0161996 + 0.00739809i
\(935\) 14.4675 + 9.29768i 0.473137 + 0.304067i
\(936\) 6.07894 + 3.26169i 0.198696 + 0.106612i
\(937\) 12.8002 + 1.84039i 0.418164 + 0.0601229i 0.348186 0.937426i \(-0.386798\pi\)
0.0699783 + 0.997549i \(0.477707\pi\)
\(938\) 17.7739 8.11708i 0.580339 0.265032i
\(939\) −47.6560 + 28.5125i −1.55520 + 0.930470i
\(940\) −0.864475 1.34515i −0.0281961 0.0438739i
\(941\) 32.6922 37.7288i 1.06573 1.22992i 0.0935733 0.995612i \(-0.470171\pi\)
0.972162 0.234311i \(-0.0752835\pi\)
\(942\) −8.33880 + 3.48993i −0.271693 + 0.113708i
\(943\) 26.6602 35.7185i 0.868174 1.16316i
\(944\) 3.21302i 0.104575i
\(945\) −13.4398 + 6.91346i −0.437197 + 0.224895i
\(946\) −54.1916 + 34.8269i −1.76192 + 1.13232i
\(947\) −30.4098 + 4.37228i −0.988187 + 0.142080i −0.617410 0.786642i \(-0.711818\pi\)
−0.370778 + 0.928722i \(0.620909\pi\)
\(948\) 16.4930 17.8456i 0.535668 0.579597i
\(949\) 3.98258 27.6995i 0.129280 0.899163i
\(950\) −0.795542 + 0.233592i −0.0258108 + 0.00757873i
\(951\) 8.24508 46.6787i 0.267365 1.51366i
\(952\) 4.11478 9.01011i 0.133361 0.292019i
\(953\) −40.1749 11.7964i −1.30139 0.382123i −0.443648 0.896201i \(-0.646316\pi\)
−0.857743 + 0.514078i \(0.828134\pi\)
\(954\) 0.540961 8.43255i 0.0175142 0.273014i
\(955\) −11.3838 13.1376i −0.368372 0.425124i
\(956\) −1.39385 + 4.74701i −0.0450803 + 0.153529i
\(957\) 43.7619 + 1.40225i 1.41462 + 0.0453285i
\(958\) 4.85064 7.54774i 0.156717 0.243856i
\(959\) −2.62793 8.94991i −0.0848603 0.289008i
\(960\) −0.434500 1.67667i −0.0140234 0.0541142i
\(961\) −12.7145 27.8408i −0.410144 0.898089i
\(962\) −2.54477 17.6993i −0.0820468 0.570648i
\(963\) 7.54622 35.9574i 0.243173 1.15871i
\(964\) 19.4858 + 16.8845i 0.627595 + 0.543814i
\(965\) 18.2951 0.588940
\(966\) 20.8411 + 12.2230i 0.670550 + 0.393267i
\(967\) 28.8900 0.929038 0.464519 0.885563i \(-0.346227\pi\)
0.464519 + 0.885563i \(0.346227\pi\)
\(968\) 10.9602 + 9.49704i 0.352273 + 0.305246i
\(969\) 4.02740 + 2.77443i 0.129379 + 0.0891277i
\(970\) −2.67789 18.6252i −0.0859820 0.598018i
\(971\) −16.4114 35.9360i −0.526667 1.15324i −0.966853 0.255334i \(-0.917815\pi\)
0.440186 0.897907i \(-0.354913\pi\)
\(972\) 15.0310 4.13148i 0.482119 0.132517i
\(973\) −4.61585 15.7201i −0.147977 0.503964i
\(974\) 9.14644 14.2321i 0.293071 0.456027i
\(975\) −0.127560 + 3.98093i −0.00408519 + 0.127492i
\(976\) 0.264136 0.899565i 0.00845479 0.0287944i
\(977\) −11.1790 12.9013i −0.357648 0.412748i 0.548202 0.836346i \(-0.315312\pi\)
−0.905850 + 0.423598i \(0.860767\pi\)
\(978\) 9.93706 20.0350i 0.317752 0.640648i
\(979\) 8.98317 + 2.63770i 0.287103 + 0.0843012i
\(980\) −0.606569 + 1.32820i −0.0193761 + 0.0424278i
\(981\) 1.91991 + 8.52415i 0.0612981 + 0.272155i
\(982\) −3.85015 + 1.13051i −0.122863 + 0.0360759i
\(983\) −8.07737 + 56.1794i −0.257628 + 1.79184i 0.291984 + 0.956423i \(0.405685\pi\)
−0.549612 + 0.835420i \(0.685225\pi\)
\(984\) −11.8216 10.9256i −0.376858 0.348296i
\(985\) 24.6145 3.53903i 0.784283 0.112763i
\(986\) −14.3407 + 9.21621i −0.456701 + 0.293504i
\(987\) 2.51588 7.65256i 0.0800812 0.243584i
\(988\) 1.90664i 0.0606582i
\(989\) 53.7339 + 29.2428i 1.70864 + 0.929866i
\(990\) 10.7909 + 10.6338i 0.342959 + 0.337963i
\(991\) −7.62142 + 8.79559i −0.242102 + 0.279401i −0.863777 0.503875i \(-0.831907\pi\)
0.621674 + 0.783276i \(0.286453\pi\)
\(992\) −0.339084 0.527625i −0.0107659 0.0167521i
\(993\) −25.7538 43.0452i −0.817273 1.36600i
\(994\) −0.759045 + 0.346644i −0.0240754 + 0.0109949i
\(995\) −2.42002 0.347946i −0.0767198 0.0110306i
\(996\) −0.805412 + 0.653930i −0.0255205 + 0.0207206i
\(997\) 11.7901 + 7.57707i 0.373398 + 0.239968i 0.713858 0.700291i \(-0.246946\pi\)
−0.340460 + 0.940259i \(0.610583\pi\)
\(998\) 25.5323 + 11.6602i 0.808211 + 0.369098i
\(999\) −31.7380 25.0051i −1.00415 0.791127i
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 690.2.q.b.191.3 yes 160
3.2 odd 2 690.2.q.a.191.9 160
23.10 odd 22 690.2.q.a.401.9 yes 160
69.56 even 22 inner 690.2.q.b.401.3 yes 160
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
690.2.q.a.191.9 160 3.2 odd 2
690.2.q.a.401.9 yes 160 23.10 odd 22
690.2.q.b.191.3 yes 160 1.1 even 1 trivial
690.2.q.b.401.3 yes 160 69.56 even 22 inner