Properties

Label 525.2.bo.a.319.29
Level $525$
Weight $2$
Character 525.319
Analytic conductor $4.192$
Analytic rank $0$
Dimension $320$
CM no
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [525,2,Mod(4,525)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(525, base_ring=CyclotomicField(30))
 
chi = DirichletCharacter(H, H._module([0, 3, 20]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("525.4");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 525 = 3 \cdot 5^{2} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 525.bo (of order \(30\), degree \(8\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(4.19214610612\)
Analytic rank: \(0\)
Dimension: \(320\)
Relative dimension: \(40\) over \(\Q(\zeta_{30})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label 319.29
Character \(\chi\) \(=\) 525.319
Dual form 525.2.bo.a.79.29

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(1.06343 + 0.957521i) q^{2} +(-0.994522 + 0.104528i) q^{3} +(0.00498998 + 0.0474765i) q^{4} +(-1.89948 + 1.17983i) q^{5} +(-1.15770 - 0.841116i) q^{6} +(1.17585 - 2.37010i) q^{7} +(1.64208 - 2.26013i) q^{8} +(0.978148 - 0.207912i) q^{9} +O(q^{10})\) \(q+(1.06343 + 0.957521i) q^{2} +(-0.994522 + 0.104528i) q^{3} +(0.00498998 + 0.0474765i) q^{4} +(-1.89948 + 1.17983i) q^{5} +(-1.15770 - 0.841116i) q^{6} +(1.17585 - 2.37010i) q^{7} +(1.64208 - 2.26013i) q^{8} +(0.978148 - 0.207912i) q^{9} +(-3.14968 - 0.564117i) q^{10} +(2.22071 + 0.472025i) q^{11} +(-0.00992529 - 0.0466948i) q^{12} +(3.31372 + 1.07669i) q^{13} +(3.51986 - 1.39455i) q^{14} +(1.76574 - 1.37191i) q^{15} +(4.00375 - 0.851024i) q^{16} +(-0.282535 - 0.634585i) q^{17} +(1.23928 + 0.715496i) q^{18} +(0.246793 - 2.34808i) q^{19} +(-0.0654925 - 0.0842931i) q^{20} +(-0.921663 + 2.48003i) q^{21} +(1.90960 + 2.62834i) q^{22} +(5.40150 + 4.86353i) q^{23} +(-1.39684 + 2.41939i) q^{24} +(2.21601 - 4.48211i) q^{25} +(2.49297 + 4.31794i) q^{26} +(-0.951057 + 0.309017i) q^{27} +(0.118392 + 0.0439984i) q^{28} +(1.49065 - 1.08302i) q^{29} +(3.19139 + 0.231796i) q^{30} +(-1.13100 + 0.503554i) q^{31} +(0.233818 + 0.134995i) q^{32} +(-2.25788 - 0.237313i) q^{33} +(0.307170 - 0.945372i) q^{34} +(0.562820 + 5.88925i) q^{35} +(0.0147519 + 0.0454016i) q^{36} +(-2.07085 - 9.74258i) q^{37} +(2.51079 - 2.26072i) q^{38} +(-3.40811 - 0.724416i) q^{39} +(-0.452526 + 6.23043i) q^{40} +(-0.639768 + 1.96900i) q^{41} +(-3.35481 + 1.75484i) q^{42} +6.14154i q^{43} +(-0.0113288 + 0.107787i) q^{44} +(-1.61267 + 1.54897i) q^{45} +(1.08721 + 10.3441i) q^{46} +(-1.15264 + 2.58886i) q^{47} +(-3.89286 + 1.26487i) q^{48} +(-4.23477 - 5.57376i) q^{49} +(6.64829 - 2.64455i) q^{50} +(0.347320 + 0.601575i) q^{51} +(-0.0345822 + 0.162696i) q^{52} +(5.07639 - 0.533550i) q^{53} +(-1.30728 - 0.582037i) q^{54} +(-4.77508 + 1.72345i) q^{55} +(-3.42590 - 6.54946i) q^{56} +2.36102i q^{57} +(2.62223 + 0.275607i) q^{58} +(-4.07665 - 4.52757i) q^{59} +(0.0739447 + 0.0769855i) q^{60} +(7.14017 - 7.92996i) q^{61} +(-1.68491 - 0.547460i) q^{62} +(0.657380 - 2.56278i) q^{63} +(-2.41035 - 7.41828i) q^{64} +(-7.56464 + 1.86447i) q^{65} +(-2.17388 - 2.41433i) q^{66} +(1.82245 + 4.09328i) q^{67} +(0.0287180 - 0.0165804i) q^{68} +(-5.88028 - 4.27228i) q^{69} +(-5.04055 + 6.80174i) q^{70} +(-6.14939 + 4.46780i) q^{71} +(1.13629 - 2.55215i) q^{72} +(-0.403903 + 1.90022i) q^{73} +(7.12651 - 12.3435i) q^{74} +(-1.73536 + 4.68919i) q^{75} +0.112710 q^{76} +(3.72996 - 4.70827i) q^{77} +(-2.93066 - 4.03370i) q^{78} +(-14.8877 - 6.62844i) q^{79} +(-6.60096 + 6.34024i) q^{80} +(0.913545 - 0.406737i) q^{81} +(-2.56571 + 1.48132i) q^{82} +(3.09416 - 4.25875i) q^{83} +(-0.122342 - 0.0313820i) q^{84} +(1.28537 + 0.872035i) q^{85} +(-5.88065 + 6.53112i) q^{86} +(-1.36928 + 1.23290i) q^{87} +(4.71341 - 4.24397i) q^{88} +(-10.7406 + 11.9286i) q^{89} +(-3.19814 + 0.103065i) q^{90} +(6.44830 - 6.58782i) q^{91} +(-0.203950 + 0.280713i) q^{92} +(1.07217 - 0.619018i) q^{93} +(-3.70464 + 1.64941i) q^{94} +(2.30156 + 4.75130i) q^{95} +(-0.246648 - 0.109815i) q^{96} +(11.1431 + 15.3371i) q^{97} +(0.833590 - 9.98220i) q^{98} +2.27032 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 320 q - 40 q^{4} - 2 q^{5} + 8 q^{6} + 60 q^{8} - 40 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 320 q - 40 q^{4} - 2 q^{5} + 8 q^{6} + 60 q^{8} - 40 q^{9} + 4 q^{10} - 6 q^{11} + 12 q^{14} + 4 q^{15} + 40 q^{16} - 20 q^{17} + 16 q^{19} + 8 q^{20} + 40 q^{22} - 60 q^{23} - 48 q^{24} + 4 q^{25} - 30 q^{28} + 24 q^{29} - 48 q^{30} - 30 q^{31} - 80 q^{36} + 30 q^{38} - 32 q^{40} + 36 q^{41} + 10 q^{42} - 16 q^{44} + 2 q^{45} + 32 q^{46} + 16 q^{49} - 140 q^{50} + 190 q^{52} - 60 q^{53} + 4 q^{54} - 8 q^{55} + 60 q^{58} + 24 q^{59} - 46 q^{60} - 20 q^{61} + 120 q^{62} + 10 q^{63} - 4 q^{64} - 30 q^{65} - 16 q^{66} - 60 q^{67} - 32 q^{69} - 76 q^{70} + 32 q^{71} - 30 q^{72} - 40 q^{73} - 12 q^{74} - 8 q^{75} - 344 q^{76} + 4 q^{79} - 52 q^{80} + 40 q^{81} - 80 q^{83} + 48 q^{84} - 76 q^{85} + 24 q^{86} - 200 q^{88} - 52 q^{90} + 26 q^{91} + 180 q^{92} + 16 q^{94} - 38 q^{95} - 58 q^{96} - 140 q^{97} + 360 q^{98} + 8 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/525\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(176\) \(451\)
\(\chi(n)\) \(e\left(\frac{9}{10}\right)\) \(1\) \(e\left(\frac{2}{3}\right)\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.06343 + 0.957521i 0.751962 + 0.677069i 0.953155 0.302482i \(-0.0978153\pi\)
−0.201193 + 0.979552i \(0.564482\pi\)
\(3\) −0.994522 + 0.104528i −0.574187 + 0.0603495i
\(4\) 0.00498998 + 0.0474765i 0.00249499 + 0.0237383i
\(5\) −1.89948 + 1.17983i −0.849471 + 0.527635i
\(6\) −1.15770 0.841116i −0.472628 0.343384i
\(7\) 1.17585 2.37010i 0.444429 0.895814i
\(8\) 1.64208 2.26013i 0.580563 0.799076i
\(9\) 0.978148 0.207912i 0.326049 0.0693039i
\(10\) −3.14968 0.564117i −0.996015 0.178389i
\(11\) 2.22071 + 0.472025i 0.669568 + 0.142321i 0.530139 0.847911i \(-0.322140\pi\)
0.139429 + 0.990232i \(0.455473\pi\)
\(12\) −0.00992529 0.0466948i −0.00286519 0.0134796i
\(13\) 3.31372 + 1.07669i 0.919060 + 0.298621i 0.730081 0.683361i \(-0.239482\pi\)
0.188979 + 0.981981i \(0.439482\pi\)
\(14\) 3.51986 1.39455i 0.940722 0.372709i
\(15\) 1.76574 1.37191i 0.455913 0.354227i
\(16\) 4.00375 0.851024i 1.00094 0.212756i
\(17\) −0.282535 0.634585i −0.0685249 0.153909i 0.876036 0.482246i \(-0.160179\pi\)
−0.944561 + 0.328336i \(0.893512\pi\)
\(18\) 1.23928 + 0.715496i 0.292100 + 0.168644i
\(19\) 0.246793 2.34808i 0.0566183 0.538687i −0.929045 0.369966i \(-0.879369\pi\)
0.985664 0.168722i \(-0.0539639\pi\)
\(20\) −0.0654925 0.0842931i −0.0146446 0.0188485i
\(21\) −0.921663 + 2.48003i −0.201123 + 0.541186i
\(22\) 1.90960 + 2.62834i 0.407128 + 0.560364i
\(23\) 5.40150 + 4.86353i 1.12629 + 1.01412i 0.999755 + 0.0221537i \(0.00705232\pi\)
0.126535 + 0.991962i \(0.459614\pi\)
\(24\) −1.39684 + 2.41939i −0.285128 + 0.493856i
\(25\) 2.21601 4.48211i 0.443202 0.896422i
\(26\) 2.49297 + 4.31794i 0.488911 + 0.846818i
\(27\) −0.951057 + 0.309017i −0.183031 + 0.0594703i
\(28\) 0.118392 + 0.0439984i 0.0223739 + 0.00831491i
\(29\) 1.49065 1.08302i 0.276807 0.201112i −0.440716 0.897646i \(-0.645276\pi\)
0.717524 + 0.696534i \(0.245276\pi\)
\(30\) 3.19139 + 0.231796i 0.582665 + 0.0423199i
\(31\) −1.13100 + 0.503554i −0.203134 + 0.0904410i −0.505782 0.862661i \(-0.668796\pi\)
0.302648 + 0.953102i \(0.402129\pi\)
\(32\) 0.233818 + 0.134995i 0.0413336 + 0.0238640i
\(33\) −2.25788 0.237313i −0.393046 0.0413108i
\(34\) 0.307170 0.945372i 0.0526792 0.162130i
\(35\) 0.562820 + 5.88925i 0.0951339 + 0.995464i
\(36\) 0.0147519 + 0.0454016i 0.00245864 + 0.00756693i
\(37\) −2.07085 9.74258i −0.340446 1.60167i −0.731859 0.681456i \(-0.761347\pi\)
0.391413 0.920215i \(-0.371986\pi\)
\(38\) 2.51079 2.26072i 0.407303 0.366738i
\(39\) −3.40811 0.724416i −0.545734 0.115999i
\(40\) −0.452526 + 6.23043i −0.0715506 + 0.985117i
\(41\) −0.639768 + 1.96900i −0.0999150 + 0.307507i −0.988503 0.151199i \(-0.951687\pi\)
0.888588 + 0.458705i \(0.151687\pi\)
\(42\) −3.35481 + 1.75484i −0.517658 + 0.270777i
\(43\) 6.14154i 0.936576i 0.883576 + 0.468288i \(0.155129\pi\)
−0.883576 + 0.468288i \(0.844871\pi\)
\(44\) −0.0113288 + 0.107787i −0.00170789 + 0.0162495i
\(45\) −1.61267 + 1.54897i −0.240402 + 0.230907i
\(46\) 1.08721 + 10.3441i 0.160300 + 1.52515i
\(47\) −1.15264 + 2.58886i −0.168129 + 0.377624i −0.977885 0.209143i \(-0.932933\pi\)
0.809756 + 0.586767i \(0.199599\pi\)
\(48\) −3.89286 + 1.26487i −0.561886 + 0.182568i
\(49\) −4.23477 5.57376i −0.604967 0.796251i
\(50\) 6.64829 2.64455i 0.940211 0.373996i
\(51\) 0.347320 + 0.601575i 0.0486345 + 0.0842374i
\(52\) −0.0345822 + 0.162696i −0.00479569 + 0.0225619i
\(53\) 5.07639 0.533550i 0.697296 0.0732887i 0.250753 0.968051i \(-0.419322\pi\)
0.446543 + 0.894762i \(0.352655\pi\)
\(54\) −1.30728 0.582037i −0.177898 0.0792052i
\(55\) −4.77508 + 1.72345i −0.643872 + 0.232390i
\(56\) −3.42590 6.54946i −0.457805 0.875208i
\(57\) 2.36102i 0.312724i
\(58\) 2.62223 + 0.275607i 0.344315 + 0.0361890i
\(59\) −4.07665 4.52757i −0.530734 0.589440i 0.416839 0.908981i \(-0.363138\pi\)
−0.947573 + 0.319541i \(0.896471\pi\)
\(60\) 0.0739447 + 0.0769855i 0.00954622 + 0.00993879i
\(61\) 7.14017 7.92996i 0.914205 1.01533i −0.0856149 0.996328i \(-0.527285\pi\)
0.999820 0.0189988i \(-0.00604787\pi\)
\(62\) −1.68491 0.547460i −0.213984 0.0695275i
\(63\) 0.657380 2.56278i 0.0828221 0.322880i
\(64\) −2.41035 7.41828i −0.301293 0.927285i
\(65\) −7.56464 + 1.86447i −0.938278 + 0.231259i
\(66\) −2.17388 2.41433i −0.267586 0.297184i
\(67\) 1.82245 + 4.09328i 0.222647 + 0.500074i 0.989986 0.141169i \(-0.0450860\pi\)
−0.767338 + 0.641242i \(0.778419\pi\)
\(68\) 0.0287180 0.0165804i 0.00348257 0.00201066i
\(69\) −5.88028 4.27228i −0.707903 0.514322i
\(70\) −5.04055 + 6.80174i −0.602461 + 0.812963i
\(71\) −6.14939 + 4.46780i −0.729799 + 0.530230i −0.889500 0.456936i \(-0.848947\pi\)
0.159701 + 0.987165i \(0.448947\pi\)
\(72\) 1.13629 2.55215i 0.133913 0.300773i
\(73\) −0.403903 + 1.90022i −0.0472733 + 0.222403i −0.995443 0.0953620i \(-0.969599\pi\)
0.948169 + 0.317765i \(0.102932\pi\)
\(74\) 7.12651 12.3435i 0.828440 1.43490i
\(75\) −1.73536 + 4.68919i −0.200383 + 0.541461i
\(76\) 0.112710 0.0129288
\(77\) 3.72996 4.70827i 0.425068 0.536557i
\(78\) −2.93066 4.03370i −0.331832 0.456727i
\(79\) −14.8877 6.62844i −1.67500 0.745758i −0.999968 0.00796987i \(-0.997463\pi\)
−0.675032 0.737788i \(-0.735870\pi\)
\(80\) −6.60096 + 6.34024i −0.738010 + 0.708860i
\(81\) 0.913545 0.406737i 0.101505 0.0451930i
\(82\) −2.56571 + 1.48132i −0.283336 + 0.163584i
\(83\) 3.09416 4.25875i 0.339629 0.467459i −0.604704 0.796450i \(-0.706709\pi\)
0.944333 + 0.328991i \(0.106709\pi\)
\(84\) −0.122342 0.0313820i −0.0133486 0.00342406i
\(85\) 1.28537 + 0.872035i 0.139418 + 0.0945855i
\(86\) −5.88065 + 6.53112i −0.634126 + 0.704269i
\(87\) −1.36928 + 1.23290i −0.146802 + 0.132181i
\(88\) 4.71341 4.24397i 0.502451 0.452409i
\(89\) −10.7406 + 11.9286i −1.13850 + 1.26443i −0.178649 + 0.983913i \(0.557173\pi\)
−0.959849 + 0.280517i \(0.909494\pi\)
\(90\) −3.19814 + 0.103065i −0.337113 + 0.0108640i
\(91\) 6.44830 6.58782i 0.675965 0.690591i
\(92\) −0.203950 + 0.280713i −0.0212633 + 0.0292664i
\(93\) 1.07217 0.619018i 0.111179 0.0641891i
\(94\) −3.70464 + 1.64941i −0.382104 + 0.170124i
\(95\) 2.30156 + 4.75130i 0.236135 + 0.487473i
\(96\) −0.246648 0.109815i −0.0251734 0.0112079i
\(97\) 11.1431 + 15.3371i 1.13141 + 1.55725i 0.785366 + 0.619032i \(0.212475\pi\)
0.346043 + 0.938219i \(0.387525\pi\)
\(98\) 0.833590 9.98220i 0.0842053 1.00835i
\(99\) 2.27032 0.228175
\(100\) 0.223853 + 0.0828428i 0.0223853 + 0.00828428i
\(101\) −5.40372 + 9.35952i −0.537690 + 0.931307i 0.461337 + 0.887225i \(0.347370\pi\)
−0.999028 + 0.0440824i \(0.985964\pi\)
\(102\) −0.206669 + 0.972302i −0.0204633 + 0.0962722i
\(103\) −6.45726 + 14.5032i −0.636252 + 1.42905i 0.251103 + 0.967960i \(0.419207\pi\)
−0.887356 + 0.461086i \(0.847460\pi\)
\(104\) 7.87485 5.72141i 0.772192 0.561030i
\(105\) −1.17533 5.79815i −0.114701 0.565842i
\(106\) 5.90929 + 4.29335i 0.573961 + 0.417007i
\(107\) 5.93093 3.42423i 0.573365 0.331032i −0.185127 0.982715i \(-0.559270\pi\)
0.758492 + 0.651682i \(0.225936\pi\)
\(108\) −0.0194168 0.0436109i −0.00186838 0.00419646i
\(109\) −0.0762478 0.0846817i −0.00730321 0.00811104i 0.739482 0.673176i \(-0.235070\pi\)
−0.746785 + 0.665065i \(0.768404\pi\)
\(110\) −6.72823 2.73946i −0.641511 0.261198i
\(111\) 3.07788 + 9.47275i 0.292140 + 0.899114i
\(112\) 2.69079 10.4900i 0.254255 0.991209i
\(113\) 16.4922 + 5.35864i 1.55145 + 0.504098i 0.954509 0.298183i \(-0.0963807\pi\)
0.596946 + 0.802281i \(0.296381\pi\)
\(114\) −2.26072 + 2.51079i −0.211736 + 0.235157i
\(115\) −15.9981 2.86532i −1.49183 0.267192i
\(116\) 0.0588564 + 0.0653667i 0.00546468 + 0.00606915i
\(117\) 3.46516 + 0.364203i 0.320354 + 0.0336706i
\(118\) 8.71825i 0.802580i
\(119\) −1.83625 0.0765372i −0.168329 0.00701616i
\(120\) −0.201210 6.24360i −0.0183679 0.569960i
\(121\) −5.34028 2.37764i −0.485480 0.216149i
\(122\) 15.1862 1.59613i 1.37489 0.144507i
\(123\) 0.430447 2.02509i 0.0388121 0.182596i
\(124\) −0.0295507 0.0511833i −0.00265373 0.00459639i
\(125\) 1.07886 + 11.1282i 0.0964960 + 0.995333i
\(126\) 3.15300 2.09589i 0.280891 0.186717i
\(127\) −11.1173 + 3.61221i −0.986497 + 0.320532i −0.757457 0.652885i \(-0.773558\pi\)
−0.229039 + 0.973417i \(0.573558\pi\)
\(128\) 4.75954 10.6901i 0.420688 0.944881i
\(129\) −0.641965 6.10789i −0.0565219 0.537770i
\(130\) −9.82976 5.26056i −0.862127 0.461381i
\(131\) 0.843146 8.02200i 0.0736660 0.700885i −0.893900 0.448267i \(-0.852042\pi\)
0.967566 0.252619i \(-0.0812918\pi\)
\(132\) 0.108380i 0.00943331i
\(133\) −5.27500 3.34591i −0.457401 0.290127i
\(134\) −1.98135 + 6.09796i −0.171162 + 0.526784i
\(135\) 1.44192 1.70905i 0.124101 0.147092i
\(136\) −1.89819 0.403472i −0.162768 0.0345975i
\(137\) −9.67804 + 8.71415i −0.826851 + 0.744500i −0.969452 0.245280i \(-0.921120\pi\)
0.142601 + 0.989780i \(0.454453\pi\)
\(138\) −2.16250 10.1738i −0.184084 0.866049i
\(139\) −3.31410 10.1998i −0.281098 0.865132i −0.987541 0.157362i \(-0.949701\pi\)
0.706443 0.707770i \(-0.250299\pi\)
\(140\) −0.276792 + 0.0561080i −0.0233932 + 0.00474199i
\(141\) 0.875711 2.69516i 0.0737482 0.226974i
\(142\) −10.8175 1.13696i −0.907783 0.0954118i
\(143\) 6.85056 + 3.95517i 0.572873 + 0.330748i
\(144\) 3.73932 1.66485i 0.311610 0.138738i
\(145\) −1.55368 + 3.81589i −0.129026 + 0.316892i
\(146\) −2.24902 + 1.63401i −0.186130 + 0.135232i
\(147\) 4.79418 + 5.10057i 0.395418 + 0.420688i
\(148\) 0.452210 0.146932i 0.0371715 0.0120777i
\(149\) −0.311539 0.539601i −0.0255222 0.0442058i 0.852982 0.521940i \(-0.174792\pi\)
−0.878504 + 0.477734i \(0.841458\pi\)
\(150\) −6.33544 + 3.32500i −0.517287 + 0.271485i
\(151\) −9.06387 + 15.6991i −0.737607 + 1.27757i 0.215963 + 0.976402i \(0.430711\pi\)
−0.953570 + 0.301172i \(0.902622\pi\)
\(152\) −4.90171 4.41352i −0.397581 0.357984i
\(153\) −0.408299 0.561975i −0.0330090 0.0454330i
\(154\) 8.47483 1.43542i 0.682921 0.115670i
\(155\) 1.55420 2.29088i 0.124837 0.184008i
\(156\) 0.0173863 0.165420i 0.00139202 0.0132442i
\(157\) −2.03008 1.17206i −0.162018 0.0935410i 0.416799 0.908999i \(-0.363152\pi\)
−0.578817 + 0.815458i \(0.696485\pi\)
\(158\) −9.48525 21.3042i −0.754606 1.69487i
\(159\) −4.99281 + 1.06125i −0.395956 + 0.0841630i
\(160\) −0.603402 + 0.0194456i −0.0477031 + 0.00153731i
\(161\) 17.8784 7.08333i 1.40901 0.558244i
\(162\) 1.36095 + 0.442201i 0.106927 + 0.0347426i
\(163\) −1.34784 6.34109i −0.105571 0.496673i −0.998884 0.0472370i \(-0.984958\pi\)
0.893313 0.449436i \(-0.148375\pi\)
\(164\) −0.0966739 0.0205487i −0.00754896 0.00160458i
\(165\) 4.56878 2.21314i 0.355679 0.172293i
\(166\) 7.36828 1.56618i 0.571890 0.121559i
\(167\) 11.9543 16.4537i 0.925055 1.27323i −0.0367027 0.999326i \(-0.511685\pi\)
0.961757 0.273902i \(-0.0883145\pi\)
\(168\) 4.09174 + 6.15548i 0.315684 + 0.474905i
\(169\) −0.695764 0.505502i −0.0535203 0.0388848i
\(170\) 0.531915 + 2.15812i 0.0407960 + 0.165520i
\(171\) −0.246793 2.34808i −0.0188728 0.179562i
\(172\) −0.291579 + 0.0306462i −0.0222327 + 0.00233675i
\(173\) −6.76638 6.09248i −0.514439 0.463203i 0.370552 0.928812i \(-0.379169\pi\)
−0.884990 + 0.465609i \(0.845835\pi\)
\(174\) −2.63667 −0.199885
\(175\) −8.01736 10.5224i −0.606056 0.795422i
\(176\) 9.29286 0.700475
\(177\) 4.52757 + 4.07665i 0.340313 + 0.306419i
\(178\) −22.8438 + 2.40098i −1.71221 + 0.179961i
\(179\) 0.667499 + 6.35083i 0.0498912 + 0.474683i 0.990732 + 0.135834i \(0.0433712\pi\)
−0.940840 + 0.338850i \(0.889962\pi\)
\(180\) −0.0815868 0.0688345i −0.00608112 0.00513062i
\(181\) 3.78889 + 2.75279i 0.281626 + 0.204613i 0.719626 0.694362i \(-0.244313\pi\)
−0.438000 + 0.898975i \(0.644313\pi\)
\(182\) 13.1653 0.831341i 0.975878 0.0616231i
\(183\) −6.27215 + 8.63287i −0.463650 + 0.638160i
\(184\) 19.8619 4.22177i 1.46424 0.311233i
\(185\) 15.4281 + 16.0625i 1.13430 + 1.18094i
\(186\) 1.73290 + 0.368340i 0.127063 + 0.0270080i
\(187\) −0.327888 1.54259i −0.0239775 0.112805i
\(188\) −0.128662 0.0418047i −0.00938362 0.00304892i
\(189\) −0.385895 + 2.61746i −0.0280698 + 0.190392i
\(190\) −2.10191 + 7.25648i −0.152489 + 0.526441i
\(191\) −5.55684 + 1.18114i −0.402079 + 0.0854644i −0.404512 0.914533i \(-0.632559\pi\)
0.00243366 + 0.999997i \(0.499225\pi\)
\(192\) 3.17256 + 7.12569i 0.228960 + 0.514253i
\(193\) 13.4739 + 7.77917i 0.969874 + 0.559957i 0.899198 0.437543i \(-0.144151\pi\)
0.0706759 + 0.997499i \(0.477484\pi\)
\(194\) −2.83569 + 26.9798i −0.203591 + 1.93703i
\(195\) 7.32831 2.64497i 0.524791 0.189410i
\(196\) 0.243491 0.228865i 0.0173922 0.0163475i
\(197\) 3.44019 + 4.73501i 0.245103 + 0.337356i 0.913789 0.406190i \(-0.133143\pi\)
−0.668686 + 0.743545i \(0.733143\pi\)
\(198\) 2.41433 + 2.17388i 0.171579 + 0.154491i
\(199\) 4.84981 8.40011i 0.343794 0.595468i −0.641340 0.767257i \(-0.721621\pi\)
0.985134 + 0.171788i \(0.0549546\pi\)
\(200\) −6.49127 12.3684i −0.459002 0.874581i
\(201\) −2.24033 3.88036i −0.158020 0.273699i
\(202\) −14.7084 + 4.77906i −1.03488 + 0.336254i
\(203\) −0.814094 4.80647i −0.0571382 0.337348i
\(204\) −0.0268276 + 0.0194914i −0.00187831 + 0.00136467i
\(205\) −1.10786 4.49489i −0.0773765 0.313937i
\(206\) −20.7540 + 9.24028i −1.44600 + 0.643801i
\(207\) 6.29464 + 3.63421i 0.437508 + 0.252595i
\(208\) 14.1836 + 1.49076i 0.983455 + 0.103365i
\(209\) 1.65641 5.09791i 0.114576 0.352630i
\(210\) 4.30197 7.29136i 0.296864 0.503152i
\(211\) 5.32250 + 16.3810i 0.366416 + 1.12771i 0.949090 + 0.315006i \(0.102006\pi\)
−0.582674 + 0.812706i \(0.697994\pi\)
\(212\) 0.0506622 + 0.238347i 0.00347949 + 0.0163697i
\(213\) 5.64869 5.08611i 0.387042 0.348494i
\(214\) 9.58593 + 2.03755i 0.655280 + 0.139284i
\(215\) −7.24596 11.6657i −0.494170 0.795594i
\(216\) −0.863292 + 2.65694i −0.0587396 + 0.180782i
\(217\) −0.136410 + 3.27269i −0.00926012 + 0.222165i
\(218\) 0.163062i 0.0110440i
\(219\) 0.203064 1.93203i 0.0137218 0.130554i
\(220\) −0.105651 0.218104i −0.00712299 0.0147046i
\(221\) −0.252990 2.40704i −0.0170179 0.161915i
\(222\) −5.79723 + 13.0208i −0.389084 + 0.873898i
\(223\) −7.13211 + 2.31736i −0.477602 + 0.155182i −0.537918 0.842997i \(-0.680789\pi\)
0.0603164 + 0.998179i \(0.480789\pi\)
\(224\) 0.594886 0.395439i 0.0397475 0.0264214i
\(225\) 1.23570 4.84490i 0.0823802 0.322993i
\(226\) 12.4074 + 21.4902i 0.825325 + 1.42950i
\(227\) −3.42326 + 16.1052i −0.227210 + 1.06894i 0.705611 + 0.708599i \(0.250672\pi\)
−0.932821 + 0.360340i \(0.882661\pi\)
\(228\) −0.112093 + 0.0117814i −0.00742353 + 0.000780244i
\(229\) 21.2166 + 9.44625i 1.40203 + 0.624226i 0.961824 0.273669i \(-0.0882373\pi\)
0.440210 + 0.897895i \(0.354904\pi\)
\(230\) −14.2694 18.3656i −0.940894 1.21099i
\(231\) −3.21738 + 5.07236i −0.211688 + 0.333737i
\(232\) 5.14747i 0.337948i
\(233\) −14.4743 1.52131i −0.948245 0.0996646i −0.382237 0.924064i \(-0.624846\pi\)
−0.566008 + 0.824400i \(0.691513\pi\)
\(234\) 3.33624 + 3.70527i 0.218097 + 0.242221i
\(235\) −0.865009 6.27739i −0.0564270 0.409492i
\(236\) 0.194611 0.216137i 0.0126681 0.0140693i
\(237\) 15.4990 + 5.03594i 1.00677 + 0.327120i
\(238\) −1.87944 1.83964i −0.121826 0.119246i
\(239\) 7.96142 + 24.5027i 0.514982 + 1.58495i 0.783315 + 0.621624i \(0.213527\pi\)
−0.268334 + 0.963326i \(0.586473\pi\)
\(240\) 5.90207 6.99549i 0.380977 0.451557i
\(241\) −13.7146 15.2316i −0.883434 0.981153i 0.116493 0.993191i \(-0.462835\pi\)
−0.999928 + 0.0120382i \(0.996168\pi\)
\(242\) −3.40239 7.64189i −0.218714 0.491239i
\(243\) −0.866025 + 0.500000i −0.0555556 + 0.0320750i
\(244\) 0.412116 + 0.299420i 0.0263830 + 0.0191684i
\(245\) 14.6199 + 5.59091i 0.934032 + 0.357190i
\(246\) 2.39682 1.74139i 0.152816 0.111027i
\(247\) 3.34597 7.51516i 0.212899 0.478178i
\(248\) −0.719097 + 3.38308i −0.0456627 + 0.214826i
\(249\) −2.63205 + 4.55885i −0.166800 + 0.288905i
\(250\) −9.50815 + 12.8671i −0.601348 + 0.813787i
\(251\) −26.0972 −1.64724 −0.823619 0.567144i \(-0.808048\pi\)
−0.823619 + 0.567144i \(0.808048\pi\)
\(252\) 0.124952 + 0.0184219i 0.00787125 + 0.00116047i
\(253\) 9.69942 + 13.3501i 0.609797 + 0.839314i
\(254\) −15.2812 6.80364i −0.958830 0.426899i
\(255\) −1.36948 0.732900i −0.0857602 0.0458960i
\(256\) 1.04607 0.465740i 0.0653793 0.0291087i
\(257\) 9.85407 5.68925i 0.614680 0.354886i −0.160115 0.987098i \(-0.551186\pi\)
0.774795 + 0.632213i \(0.217853\pi\)
\(258\) 5.16574 7.11004i 0.321605 0.442652i
\(259\) −25.5259 6.54767i −1.58610 0.406852i
\(260\) −0.126266 0.349839i −0.00783067 0.0216961i
\(261\) 1.23290 1.36928i 0.0763149 0.0847563i
\(262\) 8.57786 7.72354i 0.529942 0.477162i
\(263\) −14.9178 + 13.4321i −0.919873 + 0.828257i −0.985515 0.169586i \(-0.945757\pi\)
0.0656425 + 0.997843i \(0.479090\pi\)
\(264\) −4.24397 + 4.71341i −0.261199 + 0.290090i
\(265\) −9.01298 + 7.00273i −0.553663 + 0.430174i
\(266\) −2.40584 8.60908i −0.147512 0.527857i
\(267\) 9.43485 12.9860i 0.577403 0.794728i
\(268\) −0.185241 + 0.106949i −0.0113154 + 0.00653293i
\(269\) 3.84123 1.71023i 0.234204 0.104274i −0.286279 0.958146i \(-0.592419\pi\)
0.520483 + 0.853872i \(0.325752\pi\)
\(270\) 3.16984 0.436797i 0.192910 0.0265826i
\(271\) 16.5544 + 7.37052i 1.00561 + 0.447727i 0.842393 0.538863i \(-0.181146\pi\)
0.163218 + 0.986590i \(0.447813\pi\)
\(272\) −1.67125 2.30027i −0.101334 0.139475i
\(273\) −5.72436 + 7.22576i −0.346454 + 0.437323i
\(274\) −18.6359 −1.12584
\(275\) 7.03678 8.90743i 0.424334 0.537138i
\(276\) 0.173490 0.300494i 0.0104429 0.0180876i
\(277\) −4.65760 + 21.9123i −0.279848 + 1.31658i 0.583558 + 0.812072i \(0.301660\pi\)
−0.863406 + 0.504510i \(0.831673\pi\)
\(278\) 6.24215 14.0201i 0.374379 0.840869i
\(279\) −1.00159 + 0.727699i −0.0599637 + 0.0435662i
\(280\) 14.2346 + 8.39856i 0.850683 + 0.501910i
\(281\) −11.6475 8.46240i −0.694831 0.504825i 0.183413 0.983036i \(-0.441285\pi\)
−0.878245 + 0.478211i \(0.841285\pi\)
\(282\) 3.51193 2.02762i 0.209133 0.120743i
\(283\) 2.16152 + 4.85486i 0.128489 + 0.288591i 0.966322 0.257335i \(-0.0828445\pi\)
−0.837833 + 0.545926i \(0.816178\pi\)
\(284\) −0.242801 0.269657i −0.0144076 0.0160012i
\(285\) −2.78559 4.48469i −0.165004 0.265650i
\(286\) 3.49796 + 10.7656i 0.206839 + 0.636585i
\(287\) 3.91447 + 3.83156i 0.231064 + 0.226170i
\(288\) 0.256776 + 0.0834314i 0.0151306 + 0.00491624i
\(289\) 11.0523 12.2749i 0.650138 0.722052i
\(290\) −5.30602 + 2.57027i −0.311580 + 0.150931i
\(291\) −12.6852 14.0884i −0.743620 0.825874i
\(292\) −0.0922311 0.00969388i −0.00539742 0.000567291i
\(293\) 16.6763i 0.974239i −0.873335 0.487119i \(-0.838048\pi\)
0.873335 0.487119i \(-0.161952\pi\)
\(294\) 0.214400 + 10.0146i 0.0125041 + 0.584066i
\(295\) 13.0852 + 3.79027i 0.761852 + 0.220678i
\(296\) −25.4200 11.3177i −1.47751 0.657828i
\(297\) −2.25788 + 0.237313i −0.131015 + 0.0137703i
\(298\) 0.185378 0.872135i 0.0107387 0.0505214i
\(299\) 12.6625 + 21.9321i 0.732292 + 1.26837i
\(300\) −0.231286 0.0589900i −0.0133533 0.00340579i
\(301\) 14.5561 + 7.22151i 0.838998 + 0.416241i
\(302\) −24.6710 + 8.01610i −1.41966 + 0.461275i
\(303\) 4.39578 9.87309i 0.252531 0.567194i
\(304\) −1.01017 9.61117i −0.0579375 0.551238i
\(305\) −4.20658 + 23.4869i −0.240868 + 1.34486i
\(306\) 0.103904 0.988578i 0.00593978 0.0565132i
\(307\) 21.8316i 1.24599i −0.782224 0.622997i \(-0.785915\pi\)
0.782224 0.622997i \(-0.214085\pi\)
\(308\) 0.242145 + 0.153591i 0.0137975 + 0.00875167i
\(309\) 4.90588 15.0987i 0.279086 0.858938i
\(310\) 3.84635 0.948016i 0.218458 0.0538437i
\(311\) 8.73887 + 1.85750i 0.495536 + 0.105329i 0.448899 0.893583i \(-0.351816\pi\)
0.0466368 + 0.998912i \(0.485150\pi\)
\(312\) −7.23366 + 6.51321i −0.409525 + 0.368738i
\(313\) −3.12775 14.7149i −0.176791 0.831735i −0.973735 0.227682i \(-0.926885\pi\)
0.796945 0.604052i \(-0.206448\pi\)
\(314\) −1.03658 3.19025i −0.0584974 0.180036i
\(315\) 1.77496 + 5.64354i 0.100008 + 0.317977i
\(316\) 0.240406 0.739893i 0.0135239 0.0416222i
\(317\) 30.5557 + 3.21153i 1.71618 + 0.180378i 0.910931 0.412559i \(-0.135365\pi\)
0.805249 + 0.592937i \(0.202032\pi\)
\(318\) −6.32570 3.65214i −0.354728 0.204802i
\(319\) 3.82151 1.70145i 0.213964 0.0952628i
\(320\) 13.3307 + 11.2470i 0.745208 + 0.628729i
\(321\) −5.54051 + 4.02542i −0.309241 + 0.224677i
\(322\) 25.7949 + 9.58627i 1.43750 + 0.534222i
\(323\) −1.55979 + 0.506805i −0.0867888 + 0.0281994i
\(324\) 0.0238690 + 0.0413423i 0.00132606 + 0.00229680i
\(325\) 12.1691 12.4665i 0.675019 0.691516i
\(326\) 4.63839 8.03392i 0.256896 0.444958i
\(327\) 0.0846817 + 0.0762478i 0.00468291 + 0.00421651i
\(328\) 3.39965 + 4.67922i 0.187714 + 0.258367i
\(329\) 4.78054 + 5.77597i 0.263560 + 0.318439i
\(330\) 6.97772 + 2.02117i 0.384111 + 0.111262i
\(331\) 1.02810 9.78173i 0.0565095 0.537652i −0.929245 0.369463i \(-0.879541\pi\)
0.985755 0.168189i \(-0.0537918\pi\)
\(332\) 0.217631 + 0.125649i 0.0119440 + 0.00689589i
\(333\) −4.05119 9.09913i −0.222004 0.498629i
\(334\) 28.4675 6.05094i 1.55767 0.331093i
\(335\) −8.29105 5.62491i −0.452989 0.307322i
\(336\) −1.57955 + 10.7138i −0.0861713 + 0.584484i
\(337\) 23.0088 + 7.47601i 1.25337 + 0.407244i 0.859127 0.511762i \(-0.171007\pi\)
0.394242 + 0.919007i \(0.371007\pi\)
\(338\) −0.255871 1.20378i −0.0139175 0.0654768i
\(339\) −16.9620 3.60538i −0.921248 0.195817i
\(340\) −0.0349872 + 0.0653763i −0.00189745 + 0.00354553i
\(341\) −2.74931 + 0.584384i −0.148884 + 0.0316462i
\(342\) 1.98589 2.73334i 0.107385 0.147802i
\(343\) −18.1898 + 3.48294i −0.982157 + 0.188061i
\(344\) 13.8807 + 10.0849i 0.748395 + 0.543741i
\(345\) 16.2100 + 1.17736i 0.872717 + 0.0633869i
\(346\) −1.36193 12.9579i −0.0732178 0.696621i
\(347\) −31.4499 + 3.30551i −1.68832 + 0.177449i −0.899423 0.437079i \(-0.856013\pi\)
−0.788895 + 0.614529i \(0.789346\pi\)
\(348\) −0.0653667 0.0588564i −0.00350402 0.00315504i
\(349\) −8.98618 −0.481019 −0.240510 0.970647i \(-0.577315\pi\)
−0.240510 + 0.970647i \(0.577315\pi\)
\(350\) 1.54952 18.8667i 0.0828255 1.00847i
\(351\) −3.48425 −0.185975
\(352\) 0.455520 + 0.410152i 0.0242793 + 0.0218612i
\(353\) 0.957896 0.100679i 0.0509837 0.00535860i −0.0790023 0.996874i \(-0.525173\pi\)
0.129986 + 0.991516i \(0.458507\pi\)
\(354\) 0.911305 + 8.67049i 0.0484353 + 0.460831i
\(355\) 6.40939 15.7417i 0.340175 0.835482i
\(356\) −0.619924 0.450401i −0.0328559 0.0238712i
\(357\) 1.83419 0.115822i 0.0970756 0.00612997i
\(358\) −5.37121 + 7.39284i −0.283877 + 0.390724i
\(359\) −1.62849 + 0.346146i −0.0859482 + 0.0182689i −0.250685 0.968069i \(-0.580656\pi\)
0.164737 + 0.986338i \(0.447323\pi\)
\(360\) 0.852741 + 6.18836i 0.0449434 + 0.326155i
\(361\) 13.1322 + 2.79134i 0.691169 + 0.146913i
\(362\) 1.39338 + 6.55535i 0.0732346 + 0.344542i
\(363\) 5.55955 + 1.80641i 0.291801 + 0.0948118i
\(364\) 0.344944 + 0.273269i 0.0180800 + 0.0143232i
\(365\) −1.47472 4.08595i −0.0771906 0.213868i
\(366\) −14.9362 + 3.17478i −0.780726 + 0.165948i
\(367\) −7.84353 17.6169i −0.409429 0.919592i −0.994115 0.108332i \(-0.965449\pi\)
0.584686 0.811260i \(-0.301218\pi\)
\(368\) 25.7652 + 14.8756i 1.34311 + 0.775442i
\(369\) −0.216409 + 2.05899i −0.0112658 + 0.107187i
\(370\) 1.02655 + 31.8542i 0.0533679 + 1.65602i
\(371\) 4.70449 12.6589i 0.244245 0.657219i
\(372\) 0.0347389 + 0.0478140i 0.00180113 + 0.00247904i
\(373\) 16.7089 + 15.0448i 0.865154 + 0.778988i 0.976663 0.214776i \(-0.0689020\pi\)
−0.111510 + 0.993763i \(0.535569\pi\)
\(374\) 1.12837 1.95440i 0.0583468 0.101060i
\(375\) −2.23616 10.9544i −0.115475 0.565684i
\(376\) 3.95844 + 6.85622i 0.204141 + 0.353582i
\(377\) 6.10568 1.98386i 0.314459 0.102174i
\(378\) −2.91664 + 2.41399i −0.150016 + 0.124162i
\(379\) 1.40943 1.02401i 0.0723976 0.0526000i −0.550998 0.834507i \(-0.685753\pi\)
0.623395 + 0.781907i \(0.285753\pi\)
\(380\) −0.214090 + 0.132979i −0.0109826 + 0.00682167i
\(381\) 10.6788 4.75450i 0.547090 0.243580i
\(382\) −7.04030 4.06472i −0.360213 0.207969i
\(383\) −25.3506 2.66446i −1.29536 0.136147i −0.568355 0.822783i \(-0.692420\pi\)
−0.727001 + 0.686636i \(0.759087\pi\)
\(384\) −3.61605 + 11.1290i −0.184531 + 0.567927i
\(385\) −1.53002 + 13.3439i −0.0779769 + 0.680071i
\(386\) 6.87991 + 21.1742i 0.350178 + 1.07774i
\(387\) 1.27690 + 6.00733i 0.0649083 + 0.305370i
\(388\) −0.672550 + 0.605567i −0.0341436 + 0.0307430i
\(389\) −18.9033 4.01802i −0.958435 0.203722i −0.297967 0.954576i \(-0.596309\pi\)
−0.660468 + 0.750854i \(0.729642\pi\)
\(390\) 10.3258 + 4.20425i 0.522867 + 0.212890i
\(391\) 1.56021 4.80183i 0.0789031 0.242839i
\(392\) −19.5512 + 0.418566i −0.987486 + 0.0211408i
\(393\) 8.06619i 0.406885i
\(394\) −0.875458 + 8.32942i −0.0441049 + 0.419630i
\(395\) 36.0993 4.97440i 1.81635 0.250289i
\(396\) 0.0113288 + 0.107787i 0.000569296 + 0.00541649i
\(397\) 3.72474 8.36590i 0.186939 0.419872i −0.795627 0.605787i \(-0.792858\pi\)
0.982566 + 0.185915i \(0.0595249\pi\)
\(398\) 13.2007 4.28918i 0.661693 0.214997i
\(399\) 5.59585 + 2.77620i 0.280143 + 0.138984i
\(400\) 5.05798 19.8311i 0.252899 0.991556i
\(401\) −6.40907 11.1008i −0.320054 0.554349i 0.660445 0.750874i \(-0.270368\pi\)
−0.980499 + 0.196525i \(0.937034\pi\)
\(402\) 1.33308 6.27166i 0.0664882 0.312802i
\(403\) −4.28999 + 0.450896i −0.213700 + 0.0224608i
\(404\) −0.471322 0.209846i −0.0234491 0.0104402i
\(405\) −1.25538 + 1.85041i −0.0623802 + 0.0919477i
\(406\) 3.73656 5.89087i 0.185442 0.292359i
\(407\) 22.6129i 1.12088i
\(408\) 1.92996 + 0.202847i 0.0955474 + 0.0100424i
\(409\) 0.289295 + 0.321295i 0.0143047 + 0.0158870i 0.750255 0.661149i \(-0.229931\pi\)
−0.735950 + 0.677036i \(0.763264\pi\)
\(410\) 3.12581 5.84082i 0.154373 0.288458i
\(411\) 8.71415 9.67804i 0.429837 0.477383i
\(412\) −0.720784 0.234197i −0.0355105 0.0115381i
\(413\) −15.5243 + 4.33833i −0.763902 + 0.213475i
\(414\) 3.21411 + 9.89200i 0.157965 + 0.486165i
\(415\) −0.852693 + 11.7400i −0.0418571 + 0.576293i
\(416\) 0.629459 + 0.699085i 0.0308618 + 0.0342755i
\(417\) 4.36211 + 9.79746i 0.213614 + 0.479784i
\(418\) 6.64284 3.83524i 0.324912 0.187588i
\(419\) −18.8786 13.7161i −0.922282 0.670077i 0.0218088 0.999762i \(-0.493057\pi\)
−0.944091 + 0.329685i \(0.893057\pi\)
\(420\) 0.269411 0.0847333i 0.0131459 0.00413456i
\(421\) −1.88002 + 1.36592i −0.0916268 + 0.0665707i −0.632655 0.774433i \(-0.718035\pi\)
0.541029 + 0.841004i \(0.318035\pi\)
\(422\) −10.0250 + 22.5165i −0.488008 + 1.09608i
\(423\) −0.589193 + 2.77193i −0.0286475 + 0.134776i
\(424\) 7.12994 12.3494i 0.346261 0.599741i
\(425\) −3.47038 0.139893i −0.168338 0.00678582i
\(426\) 10.8771 0.526996
\(427\) −10.3991 26.2473i −0.503246 1.27020i
\(428\) 0.192166 + 0.264493i 0.00928867 + 0.0127848i
\(429\) −7.22646 3.21743i −0.348897 0.155339i
\(430\) 3.46454 19.3439i 0.167075 0.932843i
\(431\) −24.9574 + 11.1118i −1.20216 + 0.535235i −0.907372 0.420329i \(-0.861915\pi\)
−0.294785 + 0.955563i \(0.595248\pi\)
\(432\) −3.54481 + 2.04660i −0.170550 + 0.0984670i
\(433\) 19.3700 26.6606i 0.930864 1.28122i −0.0286574 0.999589i \(-0.509123\pi\)
0.959522 0.281635i \(-0.0908768\pi\)
\(434\) −3.27873 + 3.34968i −0.157384 + 0.160790i
\(435\) 1.14630 3.95739i 0.0549607 0.189742i
\(436\) 0.00363992 0.00404254i 0.000174320 0.000193602i
\(437\) 12.7530 11.4829i 0.610060 0.549300i
\(438\) 2.06590 1.86014i 0.0987125 0.0888812i
\(439\) −0.144324 + 0.160288i −0.00688822 + 0.00765015i −0.746579 0.665297i \(-0.768305\pi\)
0.739691 + 0.672947i \(0.234972\pi\)
\(440\) −3.94585 + 13.6223i −0.188111 + 0.649419i
\(441\) −5.30108 4.57150i −0.252432 0.217690i
\(442\) 2.03575 2.80197i 0.0968308 0.133276i
\(443\) −6.19200 + 3.57496i −0.294191 + 0.169851i −0.639830 0.768516i \(-0.720995\pi\)
0.345639 + 0.938367i \(0.387662\pi\)
\(444\) −0.434375 + 0.193396i −0.0206145 + 0.00917817i
\(445\) 6.32773 35.3301i 0.299963 1.67481i
\(446\) −9.80346 4.36478i −0.464207 0.206678i
\(447\) 0.366236 + 0.504080i 0.0173224 + 0.0238422i
\(448\) −20.4163 3.01000i −0.964578 0.142209i
\(449\) −38.9955 −1.84031 −0.920155 0.391554i \(-0.871938\pi\)
−0.920155 + 0.391554i \(0.871938\pi\)
\(450\) 5.95318 3.96902i 0.280636 0.187101i
\(451\) −2.35016 + 4.07059i −0.110665 + 0.191677i
\(452\) −0.172114 + 0.809731i −0.00809554 + 0.0380865i
\(453\) 7.37322 16.5605i 0.346424 0.778081i
\(454\) −19.0615 + 13.8490i −0.894599 + 0.649964i
\(455\) −4.47588 + 20.1213i −0.209832 + 0.943300i
\(456\) 5.33620 + 3.87698i 0.249890 + 0.181556i
\(457\) 1.95531 1.12890i 0.0914653 0.0528075i −0.453570 0.891221i \(-0.649850\pi\)
0.545035 + 0.838413i \(0.316516\pi\)
\(458\) 13.5175 + 30.3608i 0.631632 + 1.41867i
\(459\) 0.464805 + 0.516218i 0.0216952 + 0.0240950i
\(460\) 0.0562048 0.773833i 0.00262056 0.0360802i
\(461\) 10.1270 + 31.1676i 0.471660 + 1.45162i 0.850410 + 0.526120i \(0.176354\pi\)
−0.378751 + 0.925499i \(0.623646\pi\)
\(462\) −8.27836 + 2.31342i −0.385144 + 0.107630i
\(463\) 27.0075 + 8.77528i 1.25515 + 0.407822i 0.859763 0.510694i \(-0.170611\pi\)
0.395384 + 0.918516i \(0.370611\pi\)
\(464\) 5.04652 5.60473i 0.234279 0.260193i
\(465\) −1.30623 + 2.44079i −0.0605748 + 0.113189i
\(466\) −13.9358 15.4773i −0.645564 0.716972i
\(467\) −8.52019 0.895508i −0.394267 0.0414392i −0.0946793 0.995508i \(-0.530183\pi\)
−0.299588 + 0.954069i \(0.596849\pi\)
\(468\) 0.166331i 0.00768866i
\(469\) 11.8444 + 0.493690i 0.546924 + 0.0227965i
\(470\) 5.09085 7.50385i 0.234823 0.346127i
\(471\) 2.14147 + 0.953443i 0.0986737 + 0.0439324i
\(472\) −16.9271 + 1.77911i −0.779131 + 0.0818900i
\(473\) −2.89896 + 13.6385i −0.133294 + 0.627101i
\(474\) 11.6602 + 20.1960i 0.535570 + 0.927635i
\(475\) −9.97747 6.30953i −0.457797 0.289501i
\(476\) −0.00552913 0.0875606i −0.000253427 0.00401333i
\(477\) 4.85453 1.57733i 0.222274 0.0722211i
\(478\) −14.9954 + 33.6803i −0.685875 + 1.54050i
\(479\) 1.13710 + 10.8187i 0.0519552 + 0.494321i 0.989298 + 0.145911i \(0.0466115\pi\)
−0.937342 + 0.348409i \(0.886722\pi\)
\(480\) 0.598064 0.0824118i 0.0272978 0.00376157i
\(481\) 3.62755 34.5138i 0.165402 1.57370i
\(482\) 29.3298i 1.33594i
\(483\) −17.0400 + 8.91333i −0.775349 + 0.405570i
\(484\) 0.0862344 0.265402i 0.00391974 0.0120637i
\(485\) −39.2612 15.9856i −1.78276 0.725868i
\(486\) −1.39972 0.297520i −0.0634927 0.0134958i
\(487\) −19.0765 + 17.1766i −0.864439 + 0.778344i −0.976536 0.215353i \(-0.930910\pi\)
0.112097 + 0.993697i \(0.464243\pi\)
\(488\) −6.19800 29.1593i −0.280570 1.31998i
\(489\) 2.00328 + 6.16547i 0.0905915 + 0.278812i
\(490\) 10.1939 + 19.9444i 0.460513 + 0.900998i
\(491\) 5.23874 16.1232i 0.236421 0.727629i −0.760509 0.649328i \(-0.775050\pi\)
0.996930 0.0783012i \(-0.0249496\pi\)
\(492\) 0.0982922 + 0.0103309i 0.00443135 + 0.000465754i
\(493\) −1.10843 0.639953i −0.0499212 0.0288220i
\(494\) 10.7541 4.78805i 0.483852 0.215425i
\(495\) −4.31241 + 2.67858i −0.193828 + 0.120393i
\(496\) −4.09971 + 2.97862i −0.184083 + 0.133744i
\(497\) 3.35838 + 19.8281i 0.150644 + 0.889413i
\(498\) −7.16421 + 2.32779i −0.321036 + 0.104311i
\(499\) −5.45634 9.45066i −0.244259 0.423069i 0.717664 0.696390i \(-0.245211\pi\)
−0.961923 + 0.273320i \(0.911878\pi\)
\(500\) −0.522943 + 0.106750i −0.0233867 + 0.00477399i
\(501\) −10.1690 + 17.6132i −0.454316 + 0.786899i
\(502\) −27.7526 24.9886i −1.23866 1.11529i
\(503\) −0.243391 0.334999i −0.0108523 0.0149369i 0.803556 0.595229i \(-0.202939\pi\)
−0.814409 + 0.580292i \(0.802939\pi\)
\(504\) −4.71274 5.69405i −0.209922 0.253633i
\(505\) −0.778390 24.1536i −0.0346379 1.07482i
\(506\) −2.46831 + 23.4844i −0.109730 + 1.04401i
\(507\) 0.744792 + 0.430006i 0.0330774 + 0.0190972i
\(508\) −0.226970 0.509783i −0.0100702 0.0226180i
\(509\) 16.9689 3.60684i 0.752131 0.159870i 0.184134 0.982901i \(-0.441052\pi\)
0.567997 + 0.823031i \(0.307719\pi\)
\(510\) −0.754586 2.09070i −0.0334136 0.0925776i
\(511\) 4.02878 + 3.19166i 0.178223 + 0.141191i
\(512\) −20.6997 6.72575i −0.914807 0.297239i
\(513\) 0.490883 + 2.30942i 0.0216730 + 0.101964i
\(514\) 15.9267 + 3.38533i 0.702498 + 0.149321i
\(515\) −4.84592 35.1670i −0.213537 1.54964i
\(516\) 0.286778 0.0609565i 0.0126247 0.00268346i
\(517\) −3.78167 + 5.20502i −0.166318 + 0.228917i
\(518\) −20.8756 31.4046i −0.917222 1.37984i
\(519\) 7.36615 + 5.35182i 0.323338 + 0.234919i
\(520\) −8.20779 + 20.1586i −0.359936 + 0.884015i
\(521\) −2.91227 27.7084i −0.127589 1.21393i −0.851620 0.524160i \(-0.824380\pi\)
0.724031 0.689767i \(-0.242287\pi\)
\(522\) 2.62223 0.275607i 0.114772 0.0120630i
\(523\) −2.89111 2.60317i −0.126419 0.113829i 0.603496 0.797366i \(-0.293774\pi\)
−0.729915 + 0.683537i \(0.760441\pi\)
\(524\) 0.385064 0.0168216
\(525\) 9.07334 + 9.62676i 0.395993 + 0.420146i
\(526\) −28.7256 −1.25250
\(527\) 0.639096 + 0.575444i 0.0278395 + 0.0250668i
\(528\) −9.24195 + 0.971368i −0.402204 + 0.0422734i
\(529\) 3.11809 + 29.6667i 0.135569 + 1.28985i
\(530\) −16.2900 1.18317i −0.707591 0.0513935i
\(531\) −4.92890 3.58105i −0.213896 0.155404i
\(532\) 0.132530 0.267135i 0.00574591 0.0115818i
\(533\) −4.24002 + 5.83589i −0.183656 + 0.252780i
\(534\) 22.4677 4.77565i 0.972271 0.206663i
\(535\) −7.22566 + 13.5017i −0.312393 + 0.583730i
\(536\) 12.2439 + 2.60253i 0.528857 + 0.112412i
\(537\) −1.32769 6.24627i −0.0572938 0.269546i
\(538\) 5.72247 + 1.85934i 0.246713 + 0.0801620i
\(539\) −6.77321 14.3766i −0.291743 0.619243i
\(540\) 0.0883350 + 0.0599292i 0.00380133 + 0.00257894i
\(541\) 27.9009 5.93052i 1.19955 0.254973i 0.435538 0.900170i \(-0.356558\pi\)
0.764016 + 0.645197i \(0.223225\pi\)
\(542\) 10.5471 + 23.6893i 0.453039 + 1.01754i
\(543\) −4.05588 2.34166i −0.174054 0.100490i
\(544\) 0.0196038 0.186518i 0.000840508 0.00799690i
\(545\) 0.244741 + 0.0708916i 0.0104835 + 0.00303666i
\(546\) −13.0063 + 2.20294i −0.556618 + 0.0942770i
\(547\) −9.63351 13.2594i −0.411899 0.566931i 0.551781 0.833989i \(-0.313948\pi\)
−0.963680 + 0.267058i \(0.913948\pi\)
\(548\) −0.462011 0.415996i −0.0197361 0.0177705i
\(549\) 5.33541 9.24119i 0.227710 0.394405i
\(550\) 16.0122 2.73460i 0.682762 0.116604i
\(551\) −2.17514 3.76746i −0.0926642 0.160499i
\(552\) −19.3118 + 6.27478i −0.821964 + 0.267072i
\(553\) −33.2158 + 27.4914i −1.41248 + 1.16905i
\(554\) −25.9345 + 18.8425i −1.10185 + 0.800542i
\(555\) −17.0226 14.3619i −0.722568 0.609628i
\(556\) 0.467711 0.208239i 0.0198354 0.00883128i
\(557\) −38.9401 22.4821i −1.64995 0.952597i −0.977091 0.212824i \(-0.931734\pi\)
−0.672856 0.739773i \(-0.734933\pi\)
\(558\) −1.76191 0.185185i −0.0745878 0.00783949i
\(559\) −6.61254 + 20.3513i −0.279681 + 0.860769i
\(560\) 7.26528 + 23.1001i 0.307014 + 0.976158i
\(561\) 0.487336 + 1.49987i 0.0205753 + 0.0633244i
\(562\) −4.28342 20.1519i −0.180685 0.850058i
\(563\) −21.7365 + 19.5717i −0.916086 + 0.824848i −0.984961 0.172778i \(-0.944726\pi\)
0.0688747 + 0.997625i \(0.478059\pi\)
\(564\) 0.132327 + 0.0281269i 0.00557196 + 0.00118436i
\(565\) −37.6488 + 9.27935i −1.58390 + 0.390385i
\(566\) −2.34999 + 7.23252i −0.0987774 + 0.304006i
\(567\) 0.110183 2.64346i 0.00462724 0.111015i
\(568\) 21.2349i 0.890996i
\(569\) 2.29410 21.8269i 0.0961738 0.915032i −0.834949 0.550327i \(-0.814503\pi\)
0.931123 0.364705i \(-0.118830\pi\)
\(570\) 1.33189 7.43644i 0.0557867 0.311478i
\(571\) −2.38115 22.6551i −0.0996480 0.948087i −0.924099 0.382154i \(-0.875183\pi\)
0.824451 0.565934i \(-0.191484\pi\)
\(572\) −0.153594 + 0.344977i −0.00642207 + 0.0144242i
\(573\) 5.40293 1.75552i 0.225711 0.0733379i
\(574\) 0.493981 + 7.82280i 0.0206184 + 0.326517i
\(575\) 33.7686 13.4325i 1.40825 0.560172i
\(576\) −3.90002 6.75503i −0.162501 0.281460i
\(577\) −4.46015 + 20.9834i −0.185678 + 0.873549i 0.782376 + 0.622807i \(0.214008\pi\)
−0.968054 + 0.250742i \(0.919326\pi\)
\(578\) 23.5069 2.47067i 0.977758 0.102766i
\(579\) −14.2132 6.32815i −0.590682 0.262989i
\(580\) −0.188918 0.0547219i −0.00784438 0.00227220i
\(581\) −6.45541 12.3411i −0.267816 0.511996i
\(582\) 27.1284i 1.12451i
\(583\) 11.5250 + 1.21133i 0.477317 + 0.0501681i
\(584\) 3.63149 + 4.03318i 0.150272 + 0.166894i
\(585\) −7.01169 + 3.39650i −0.289898 + 0.140428i
\(586\) 15.9679 17.7341i 0.659627 0.732590i
\(587\) 19.9334 + 6.47675i 0.822739 + 0.267324i 0.689984 0.723825i \(-0.257618\pi\)
0.132755 + 0.991149i \(0.457618\pi\)
\(588\) −0.218234 + 0.253063i −0.00899983 + 0.0104361i
\(589\) 0.903264 + 2.77996i 0.0372183 + 0.114546i
\(590\) 10.2860 + 16.5601i 0.423469 + 0.681768i
\(591\) −3.91628 4.34947i −0.161094 0.178913i
\(592\) −16.5823 37.2445i −0.681530 1.53074i
\(593\) −17.6576 + 10.1946i −0.725110 + 0.418643i −0.816631 0.577160i \(-0.804161\pi\)
0.0915203 + 0.995803i \(0.470827\pi\)
\(594\) −2.62834 1.90960i −0.107842 0.0783518i
\(595\) 3.57821 2.02108i 0.146692 0.0828561i
\(596\) 0.0240638 0.0174834i 0.000985691 0.000716147i
\(597\) −3.94519 + 8.86104i −0.161466 + 0.362658i
\(598\) −7.53470 + 35.4480i −0.308117 + 1.44958i
\(599\) 8.20202 14.2063i 0.335125 0.580454i −0.648383 0.761314i \(-0.724555\pi\)
0.983509 + 0.180860i \(0.0578880\pi\)
\(600\) 7.74856 + 11.6222i 0.316334 + 0.474473i
\(601\) 27.9087 1.13842 0.569210 0.822192i \(-0.307249\pi\)
0.569210 + 0.822192i \(0.307249\pi\)
\(602\) 8.56468 + 21.6173i 0.349070 + 0.881057i
\(603\) 2.63366 + 3.62492i 0.107251 + 0.147618i
\(604\) −0.790566 0.351983i −0.0321677 0.0143220i
\(605\) 12.9489 1.78433i 0.526449 0.0725434i
\(606\) 14.1283 6.29033i 0.573924 0.255527i
\(607\) −38.4679 + 22.2094i −1.56136 + 0.901453i −0.564243 + 0.825609i \(0.690832\pi\)
−0.997120 + 0.0758443i \(0.975835\pi\)
\(608\) 0.374684 0.515708i 0.0151954 0.0209147i
\(609\) 1.31205 + 4.69504i 0.0531668 + 0.190253i
\(610\) −26.9626 + 20.9489i −1.09169 + 0.848197i
\(611\) −6.60691 + 7.33772i −0.267287 + 0.296852i
\(612\) 0.0246432 0.0221888i 0.000996143 0.000896931i
\(613\) −21.3637 + 19.2360i −0.862873 + 0.776935i −0.976257 0.216617i \(-0.930498\pi\)
0.113383 + 0.993551i \(0.463831\pi\)
\(614\) 20.9042 23.2164i 0.843624 0.936939i
\(615\) 1.57164 + 4.35446i 0.0633745 + 0.175589i
\(616\) −4.51640 16.1615i −0.181971 0.651167i
\(617\) 2.13007 2.93179i 0.0857534 0.118029i −0.763985 0.645234i \(-0.776760\pi\)
0.849738 + 0.527205i \(0.176760\pi\)
\(618\) 19.6744 11.3590i 0.791422 0.456928i
\(619\) 32.7467 14.5798i 1.31620 0.586011i 0.375998 0.926621i \(-0.377300\pi\)
0.940205 + 0.340609i \(0.110633\pi\)
\(620\) 0.116518 + 0.0623566i 0.00467949 + 0.00250430i
\(621\) −6.64004 2.95634i −0.266456 0.118634i
\(622\) 7.51461 + 10.3430i 0.301309 + 0.414716i
\(623\) 15.6428 + 39.4825i 0.626714 + 1.58183i
\(624\) −14.2617 −0.570926
\(625\) −15.1786 19.8648i −0.607143 0.794592i
\(626\) 10.7637 18.6432i 0.430202 0.745132i
\(627\) −1.11446 + 5.24312i −0.0445073 + 0.209390i
\(628\) 0.0455155 0.102229i 0.00181627 0.00407940i
\(629\) −5.59741 + 4.06675i −0.223183 + 0.162152i
\(630\) −3.51624 + 7.70109i −0.140091 + 0.306819i
\(631\) −5.28513 3.83987i −0.210398 0.152863i 0.477596 0.878580i \(-0.341508\pi\)
−0.687994 + 0.725717i \(0.741508\pi\)
\(632\) −39.4280 + 22.7637i −1.56836 + 0.905493i
\(633\) −7.00561 15.7349i −0.278448 0.625405i
\(634\) 29.4189 + 32.6730i 1.16837 + 1.29761i
\(635\) 16.8552 19.9778i 0.668876 0.792793i
\(636\) −0.0752987 0.231746i −0.00298579 0.00918931i
\(637\) −8.03160 23.0294i −0.318224 0.912458i
\(638\) 5.69310 + 1.84980i 0.225392 + 0.0732343i
\(639\) −5.08611 + 5.64869i −0.201203 + 0.223459i
\(640\) 3.57185 + 25.9210i 0.141190 + 1.02462i
\(641\) 4.70115 + 5.22116i 0.185684 + 0.206223i 0.828799 0.559547i \(-0.189025\pi\)
−0.643114 + 0.765770i \(0.722358\pi\)
\(642\) −9.74639 1.02439i −0.384660 0.0404293i
\(643\) 6.68439i 0.263607i 0.991276 + 0.131803i \(0.0420767\pi\)
−0.991276 + 0.131803i \(0.957923\pi\)
\(644\) 0.425505 + 0.813458i 0.0167672 + 0.0320547i
\(645\) 8.42566 + 10.8444i 0.331760 + 0.426997i
\(646\) −2.14401 0.954573i −0.0843548 0.0375572i
\(647\) 41.3385 4.34485i 1.62519 0.170814i 0.752328 0.658789i \(-0.228931\pi\)
0.872858 + 0.487975i \(0.162264\pi\)
\(648\) 0.580837 2.73262i 0.0228174 0.107348i
\(649\) −6.91590 11.9787i −0.271473 0.470205i
\(650\) 24.8779 1.60513i 0.975793 0.0629584i
\(651\) −0.206427 3.26902i −0.00809050 0.128123i
\(652\) 0.294327 0.0956327i 0.0115267 0.00374527i
\(653\) −3.62194 + 8.13502i −0.141738 + 0.318348i −0.970440 0.241341i \(-0.922413\pi\)
0.828703 + 0.559689i \(0.189079\pi\)
\(654\) 0.0170446 + 0.162169i 0.000666498 + 0.00634131i
\(655\) 7.86304 + 16.2324i 0.307235 + 0.634251i
\(656\) −0.885804 + 8.42786i −0.0345848 + 0.329053i
\(657\) 1.94267i 0.0757907i
\(658\) −0.446816 + 10.7198i −0.0174187 + 0.417902i
\(659\) −5.53521 + 17.0356i −0.215621 + 0.663613i 0.783488 + 0.621407i \(0.213439\pi\)
−0.999109 + 0.0422063i \(0.986561\pi\)
\(660\) 0.127870 + 0.205866i 0.00497734 + 0.00801332i
\(661\) 1.93335 + 0.410947i 0.0751988 + 0.0159840i 0.245357 0.969433i \(-0.421095\pi\)
−0.170159 + 0.985417i \(0.554428\pi\)
\(662\) 10.4595 9.41780i 0.406521 0.366033i
\(663\) 0.503208 + 2.36741i 0.0195430 + 0.0919425i
\(664\) −4.54446 13.9864i −0.176359 0.542778i
\(665\) 13.9673 + 0.131880i 0.541630 + 0.00511407i
\(666\) 4.40443 13.5554i 0.170668 0.525262i
\(667\) 13.3191 + 1.39989i 0.515716 + 0.0542039i
\(668\) 0.840818 + 0.485447i 0.0325322 + 0.0187825i
\(669\) 6.85081 3.05018i 0.264868 0.117927i
\(670\) −3.43103 13.9206i −0.132552 0.537799i
\(671\) 19.5993 14.2398i 0.756624 0.549720i
\(672\) −0.550292 + 0.455455i −0.0212280 + 0.0175696i
\(673\) 19.8646 6.45440i 0.765724 0.248799i 0.0999902 0.994988i \(-0.468119\pi\)
0.665733 + 0.746190i \(0.268119\pi\)
\(674\) 17.3099 + 29.9816i 0.666753 + 1.15485i
\(675\) −0.722505 + 4.94752i −0.0278092 + 0.190430i
\(676\) 0.0205276 0.0355549i 0.000789524 0.00136750i
\(677\) −21.0206 18.9271i −0.807888 0.727426i 0.157704 0.987486i \(-0.449591\pi\)
−0.965592 + 0.260061i \(0.916257\pi\)
\(678\) −14.5857 20.0755i −0.560161 0.770996i
\(679\) 49.4532 8.37611i 1.89784 0.321446i
\(680\) 4.08159 1.47315i 0.156522 0.0564927i
\(681\) 1.72106 16.3748i 0.0659511 0.627483i
\(682\) −3.48327 2.01107i −0.133381 0.0770078i
\(683\) 14.3911 + 32.3229i 0.550659 + 1.23680i 0.947748 + 0.319020i \(0.103354\pi\)
−0.397089 + 0.917780i \(0.629979\pi\)
\(684\) 0.110247 0.0234338i 0.00421541 0.000896013i
\(685\) 8.10200 27.9707i 0.309562 1.06871i
\(686\) −22.6787 13.7132i −0.865875 0.523574i
\(687\) −22.0878 7.17676i −0.842702 0.273810i
\(688\) 5.22659 + 24.5892i 0.199262 + 0.937454i
\(689\) 17.3962 + 3.69767i 0.662742 + 0.140870i
\(690\) 16.1109 + 16.7735i 0.613333 + 0.638554i
\(691\) 18.0060 3.82729i 0.684979 0.145597i 0.147739 0.989026i \(-0.452800\pi\)
0.537240 + 0.843429i \(0.319467\pi\)
\(692\) 0.255485 0.351646i 0.00971210 0.0133676i
\(693\) 2.66955 5.38088i 0.101408 0.204403i
\(694\) −36.6100 26.5987i −1.38970 1.00967i
\(695\) 18.3290 + 15.4641i 0.695259 + 0.586587i
\(696\) 0.538057 + 5.11927i 0.0203950 + 0.194046i
\(697\) 1.43026 0.150326i 0.0541748 0.00569401i
\(698\) −9.55621 8.60445i −0.361708 0.325683i
\(699\) 14.5541 0.550485
\(700\) 0.459563 0.433143i 0.0173698 0.0163713i
\(701\) 34.6278 1.30788 0.653938 0.756549i \(-0.273116\pi\)
0.653938 + 0.756549i \(0.273116\pi\)
\(702\) −3.70527 3.33624i −0.139846 0.125918i
\(703\) −23.3875 + 2.45812i −0.882075 + 0.0927098i
\(704\) −1.85105 17.6116i −0.0697640 0.663761i
\(705\) 1.51644 + 6.15258i 0.0571123 + 0.231720i
\(706\) 1.11506 + 0.810140i 0.0419659 + 0.0304900i
\(707\) 15.8291 + 23.8127i 0.595313 + 0.895570i
\(708\) −0.170952 + 0.235296i −0.00642478 + 0.00884296i
\(709\) −45.8805 + 9.75220i −1.72308 + 0.366252i −0.959988 0.280041i \(-0.909652\pi\)
−0.763090 + 0.646292i \(0.776319\pi\)
\(710\) 21.8890 10.6031i 0.821478 0.397929i
\(711\) −15.9405 3.38826i −0.597816 0.127070i
\(712\) 9.32332 + 43.8628i 0.349406 + 1.64383i
\(713\) −8.55815 2.78071i −0.320505 0.104138i
\(714\) 2.06144 + 1.63311i 0.0771476 + 0.0611174i
\(715\) −17.6789 + 0.569731i −0.661153 + 0.0213067i
\(716\) −0.298184 + 0.0633811i −0.0111437 + 0.00236866i
\(717\) −10.4790 23.5363i −0.391347 0.878980i
\(718\) −2.06323 1.19121i −0.0769991 0.0444554i
\(719\) −2.38838 + 22.7239i −0.0890715 + 0.847459i 0.855202 + 0.518296i \(0.173433\pi\)
−0.944273 + 0.329163i \(0.893233\pi\)
\(720\) −5.13851 + 7.57410i −0.191501 + 0.282270i
\(721\) 26.7814 + 32.3579i 0.997391 + 1.20507i
\(722\) 11.2925 + 15.5428i 0.420263 + 0.578442i
\(723\) 15.2316 + 13.7146i 0.566469 + 0.510051i
\(724\) −0.111786 + 0.193620i −0.00415451 + 0.00719582i
\(725\) −1.55092 9.08125i −0.0575997 0.337269i
\(726\) 4.18255 + 7.24438i 0.155229 + 0.268864i
\(727\) −29.5350 + 9.59651i −1.09539 + 0.355915i −0.800328 0.599562i \(-0.795341\pi\)
−0.295065 + 0.955477i \(0.595341\pi\)
\(728\) −4.30071 25.3917i −0.159395 0.941079i
\(729\) 0.809017 0.587785i 0.0299636 0.0217698i
\(730\) 2.34411 5.75722i 0.0867594 0.213084i
\(731\) 3.89733 1.73520i 0.144148 0.0641787i
\(732\) −0.441156 0.254702i −0.0163056 0.00941405i
\(733\) 47.8806 + 5.03246i 1.76851 + 0.185878i 0.932094 0.362215i \(-0.117979\pi\)
0.836417 + 0.548093i \(0.184646\pi\)
\(734\) 8.52742 26.2447i 0.314753 0.968710i
\(735\) −15.1242 4.03209i −0.557866 0.148726i
\(736\) 0.606415 + 1.86635i 0.0223528 + 0.0687948i
\(737\) 2.11498 + 9.95021i 0.0779064 + 0.366521i
\(738\) −2.20166 + 1.98239i −0.0810444 + 0.0729727i
\(739\) 14.7960 + 3.14499i 0.544280 + 0.115690i 0.471843 0.881683i \(-0.343589\pi\)
0.0724373 + 0.997373i \(0.476922\pi\)
\(740\) −0.685608 + 0.812624i −0.0252034 + 0.0298727i
\(741\) −2.54209 + 7.82374i −0.0933859 + 0.287412i
\(742\) 17.1241 8.95730i 0.628646 0.328833i
\(743\) 3.42591i 0.125685i −0.998023 0.0628423i \(-0.979983\pi\)
0.998023 0.0628423i \(-0.0200165\pi\)
\(744\) 0.361529 3.43972i 0.0132543 0.126106i
\(745\) 1.22840 + 0.657396i 0.0450050 + 0.0240851i
\(746\) 3.36315 + 31.9982i 0.123134 + 1.17154i
\(747\) 2.14111 4.80900i 0.0783389 0.175952i
\(748\) 0.0716006 0.0232644i 0.00261798 0.000850632i
\(749\) −1.14189 18.0833i −0.0417239 0.660749i
\(750\) 8.11109 13.7905i 0.296175 0.503557i
\(751\) 7.07688 + 12.2575i 0.258239 + 0.447283i 0.965770 0.259399i \(-0.0835244\pi\)
−0.707531 + 0.706682i \(0.750191\pi\)
\(752\) −2.41168 + 11.3461i −0.0879450 + 0.413749i
\(753\) 25.9542 2.72790i 0.945823 0.0994100i
\(754\) 8.39257 + 3.73661i 0.305640 + 0.136079i
\(755\) −1.30562 40.5138i −0.0475165 1.47445i
\(756\) −0.126193 0.00525990i −0.00458961 0.000191301i
\(757\) 44.9695i 1.63445i −0.576322 0.817223i \(-0.695512\pi\)
0.576322 0.817223i \(-0.304488\pi\)
\(758\) 2.47935 + 0.260590i 0.0900541 + 0.00946506i
\(759\) −11.0418 12.2631i −0.400790 0.445123i
\(760\) 14.5179 + 2.60020i 0.526619 + 0.0943191i
\(761\) 1.32278 1.46910i 0.0479508 0.0532548i −0.718692 0.695328i \(-0.755259\pi\)
0.766643 + 0.642074i \(0.221926\pi\)
\(762\) 15.9087 + 5.16905i 0.576311 + 0.187255i
\(763\) −0.290360 + 0.0811422i −0.0105117 + 0.00293755i
\(764\) −0.0838050 0.257925i −0.00303196 0.00933141i
\(765\) 1.43859 + 0.585735i 0.0520122 + 0.0211773i
\(766\) −24.4075 27.1072i −0.881877 0.979424i
\(767\) −8.63405 19.3924i −0.311757 0.700219i
\(768\) −0.991655 + 0.572532i −0.0357833 + 0.0206595i
\(769\) −21.4646 15.5950i −0.774034 0.562369i 0.129148 0.991625i \(-0.458776\pi\)
−0.903183 + 0.429256i \(0.858776\pi\)
\(770\) −14.4042 + 12.7254i −0.519091 + 0.458591i
\(771\) −9.20540 + 6.68812i −0.331525 + 0.240867i
\(772\) −0.302093 + 0.678512i −0.0108726 + 0.0244202i
\(773\) 6.31047 29.6884i 0.226972 1.06782i −0.706096 0.708117i \(-0.749545\pi\)
0.933067 0.359702i \(-0.117122\pi\)
\(774\) −4.39424 + 7.61106i −0.157948 + 0.273574i
\(775\) −0.249328 + 6.18515i −0.00895611 + 0.222177i
\(776\) 52.9617 1.90121
\(777\) 26.0705 + 3.84361i 0.935274 + 0.137889i
\(778\) −16.2551 22.3732i −0.582773 0.802118i
\(779\) 4.46549 + 1.98817i 0.159993 + 0.0712334i
\(780\) 0.162142 + 0.334724i 0.00580562 + 0.0119850i
\(781\) −15.7649 + 7.01899i −0.564113 + 0.251159i
\(782\) 6.25702 3.61249i 0.223751 0.129183i
\(783\) −1.08302 + 1.49065i −0.0387041 + 0.0532716i
\(784\) −21.6983 18.7120i −0.774941 0.668287i
\(785\) 5.23891 0.168832i 0.186985 0.00602589i
\(786\) −7.72354 + 8.57786i −0.275490 + 0.305962i
\(787\) −12.8837 + 11.6006i −0.459255 + 0.413515i −0.866014 0.500020i \(-0.833326\pi\)
0.406758 + 0.913536i \(0.366659\pi\)
\(788\) −0.207635 + 0.186956i −0.00739670 + 0.00666002i
\(789\) 13.4321 14.9178i 0.478195 0.531089i
\(790\) 43.1523 + 29.2759i 1.53529 + 1.04159i
\(791\) 32.0928 32.7872i 1.14109 1.16578i
\(792\) 3.72804 5.13121i 0.132470 0.182329i
\(793\) 32.1986 18.5899i 1.14341 0.660146i
\(794\) 11.9715 5.33007i 0.424854 0.189157i
\(795\) 8.23162 7.90648i 0.291946 0.280414i
\(796\) 0.423009 + 0.188336i 0.0149931 + 0.00667538i
\(797\) 27.9961 + 38.5333i 0.991672 + 1.36492i 0.930298 + 0.366805i \(0.119548\pi\)
0.0613741 + 0.998115i \(0.480452\pi\)
\(798\) 3.29256 + 8.31044i 0.116555 + 0.294187i
\(799\) 1.96851 0.0696409
\(800\) 1.12321 0.748847i 0.0397113 0.0264758i
\(801\) −8.02576 + 13.9010i −0.283576 + 0.491169i
\(802\) 3.81365 17.9418i 0.134665 0.633548i
\(803\) −1.79390 + 4.02917i −0.0633054 + 0.142186i
\(804\) 0.173047 0.125726i 0.00610289 0.00443401i
\(805\) −25.6025 + 34.5480i −0.902368 + 1.21766i
\(806\) −4.99387 3.62826i −0.175902 0.127800i
\(807\) −3.64142 + 2.10237i −0.128184 + 0.0740071i
\(808\) 12.2804 + 27.5822i 0.432022 + 0.970337i
\(809\) 1.15274 + 1.28025i 0.0405283 + 0.0450112i 0.763068 0.646318i \(-0.223692\pi\)
−0.722540 + 0.691329i \(0.757025\pi\)
\(810\) −3.10682 + 0.765742i −0.109163 + 0.0269054i
\(811\) −1.76111 5.42014i −0.0618410 0.190327i 0.915363 0.402630i \(-0.131904\pi\)
−0.977204 + 0.212303i \(0.931904\pi\)
\(812\) 0.224132 0.0626345i 0.00786549 0.00219804i
\(813\) −17.2342 5.59973i −0.604429 0.196391i
\(814\) 21.6523 24.0473i 0.758913 0.842859i
\(815\) 10.0416 + 10.4545i 0.351742 + 0.366206i
\(816\) 1.90254 + 2.11298i 0.0666021 + 0.0739691i
\(817\) 14.4208 + 1.51569i 0.504521 + 0.0530273i
\(818\) 0.618682i 0.0216317i
\(819\) 4.93770 7.78454i 0.172537 0.272014i
\(820\) 0.207873 0.0750269i 0.00725926 0.00262005i
\(821\) −33.1650 14.7660i −1.15747 0.515338i −0.264025 0.964516i \(-0.585050\pi\)
−0.893442 + 0.449178i \(0.851717\pi\)
\(822\) 18.5339 1.94799i 0.646442 0.0679438i
\(823\) 0.146282 0.688202i 0.00509907 0.0239892i −0.975525 0.219891i \(-0.929430\pi\)
0.980624 + 0.195901i \(0.0627633\pi\)
\(824\) 22.1758 + 38.4097i 0.772532 + 1.33806i
\(825\) −6.06715 + 9.59417i −0.211231 + 0.334026i
\(826\) −20.6631 10.2513i −0.718963 0.356689i
\(827\) −36.7551 + 11.9424i −1.27810 + 0.415279i −0.867910 0.496721i \(-0.834537\pi\)
−0.410188 + 0.912001i \(0.634537\pi\)
\(828\) −0.141130 + 0.316982i −0.00490459 + 0.0110159i
\(829\) 0.364965 + 3.47241i 0.0126758 + 0.120602i 0.999030 0.0440353i \(-0.0140214\pi\)
−0.986354 + 0.164637i \(0.947355\pi\)
\(830\) −12.1481 + 11.6682i −0.421665 + 0.405010i
\(831\) 2.34163 22.2791i 0.0812302 0.772853i
\(832\) 27.1773i 0.942203i
\(833\) −2.34055 + 4.26210i −0.0810952 + 0.147673i
\(834\) −4.74245 + 14.5958i −0.164218 + 0.505410i
\(835\) −3.29439 + 45.3575i −0.114007 + 1.56966i
\(836\) 0.250296 + 0.0532021i 0.00865668 + 0.00184003i
\(837\) 0.920040 0.828407i 0.0318012 0.0286339i
\(838\) −6.94271 32.6629i −0.239832 1.12832i
\(839\) 5.71284 + 17.5823i 0.197229 + 0.607008i 0.999943 + 0.0106447i \(0.00338837\pi\)
−0.802714 + 0.596364i \(0.796612\pi\)
\(840\) −15.0346 6.86463i −0.518741 0.236852i
\(841\) −7.91239 + 24.3518i −0.272841 + 0.839718i
\(842\) −3.30718 0.347598i −0.113973 0.0119790i
\(843\) 12.4683 + 7.19855i 0.429429 + 0.247931i
\(844\) −0.751151 + 0.334434i −0.0258557 + 0.0115117i
\(845\) 1.91799 + 0.139307i 0.0659809 + 0.00479230i
\(846\) −3.28075 + 2.38361i −0.112795 + 0.0819501i
\(847\) −11.9146 + 9.86125i −0.409391 + 0.338837i
\(848\) 19.8705 6.45633i 0.682357 0.221711i
\(849\) −2.65715 4.60232i −0.0911932 0.157951i
\(850\) −3.55657 3.47173i −0.121989 0.119079i
\(851\) 36.1976 62.6962i 1.24084 2.14920i
\(852\) 0.269657 + 0.242801i 0.00923831 + 0.00831821i
\(853\) 11.9838 + 16.4943i 0.410318 + 0.564754i 0.963296 0.268442i \(-0.0865087\pi\)
−0.552978 + 0.833196i \(0.686509\pi\)
\(854\) 14.0736 37.8696i 0.481590 1.29587i
\(855\) 3.23911 + 4.16895i 0.110775 + 0.142575i
\(856\) 1.99987 19.0275i 0.0683542 0.650347i
\(857\) −9.04286 5.22090i −0.308898 0.178342i 0.337535 0.941313i \(-0.390407\pi\)
−0.646433 + 0.762970i \(0.723740\pi\)
\(858\) −4.60412 10.3410i −0.157182 0.353036i
\(859\) −31.2549 + 6.64343i −1.06640 + 0.226671i −0.707507 0.706707i \(-0.750180\pi\)
−0.358896 + 0.933378i \(0.616847\pi\)
\(860\) 0.517689 0.402224i 0.0176531 0.0137157i
\(861\) −4.29353 3.40140i −0.146323 0.115919i
\(862\) −37.1803 12.0806i −1.26637 0.411468i
\(863\) 9.25719 + 43.5516i 0.315118 + 1.48251i 0.795768 + 0.605602i \(0.207068\pi\)
−0.480649 + 0.876913i \(0.659599\pi\)
\(864\) −0.264090 0.0561340i −0.00898452 0.00190972i
\(865\) 20.0407 + 3.58934i 0.681403 + 0.122041i
\(866\) 46.1268 9.80455i 1.56745 0.333172i
\(867\) −9.70873 + 13.3629i −0.329726 + 0.453829i
\(868\) −0.156057 + 0.00985440i −0.00529691 + 0.000334480i
\(869\) −29.9325 21.7472i −1.01539 0.737723i
\(870\) 5.00829 3.11082i 0.169797 0.105467i
\(871\) 1.63187 + 15.5262i 0.0552937 + 0.526085i
\(872\) −0.316596 + 0.0332756i −0.0107213 + 0.00112685i
\(873\) 14.0884 + 12.6852i 0.476819 + 0.429329i
\(874\) 24.5571 0.830656
\(875\) 27.6435 + 10.5280i 0.934519 + 0.355912i
\(876\) 0.0927391 0.00313336
\(877\) 7.06743 + 6.36354i 0.238650 + 0.214882i 0.779774 0.626062i \(-0.215334\pi\)
−0.541123 + 0.840943i \(0.682001\pi\)
\(878\) −0.306959 + 0.0322627i −0.0103594 + 0.00108881i
\(879\) 1.74315 + 16.5849i 0.0587948 + 0.559396i
\(880\) −17.6515 + 10.9640i −0.595034 + 0.369595i
\(881\) 14.1817 + 10.3036i 0.477794 + 0.347137i 0.800471 0.599372i \(-0.204583\pi\)
−0.322677 + 0.946509i \(0.604583\pi\)
\(882\) −1.26004 9.93738i −0.0424278 0.334609i
\(883\) 32.8463 45.2090i 1.10536 1.52140i 0.277289 0.960786i \(-0.410564\pi\)
0.828075 0.560617i \(-0.189436\pi\)
\(884\) 0.113015 0.0240222i 0.00380112 0.000807952i
\(885\) −13.4098 2.40173i −0.450764 0.0807332i
\(886\) −10.0079 2.12724i −0.336221 0.0714661i
\(887\) 9.48537 + 44.6251i 0.318487 + 1.49837i 0.788130 + 0.615509i \(0.211049\pi\)
−0.469643 + 0.882857i \(0.655617\pi\)
\(888\) 26.4637 + 8.59859i 0.888065 + 0.288550i
\(889\) −4.51087 + 30.5964i −0.151290 + 1.02617i
\(890\) 40.5584 31.5123i 1.35952 1.05630i
\(891\) 2.22071 0.472025i 0.0743964 0.0158134i
\(892\) −0.145609 0.327044i −0.00487537 0.0109503i
\(893\) 5.79440 + 3.34540i 0.193902 + 0.111949i
\(894\) −0.0931995 + 0.886734i −0.00311706 + 0.0296568i
\(895\) −8.76079 11.2757i −0.292841 0.376905i
\(896\) −19.7401 23.8505i −0.659472 0.796790i
\(897\) −14.8857 20.4884i −0.497018 0.684087i
\(898\) −41.4691 37.3390i −1.38384 1.24602i
\(899\) −1.14057 + 1.97552i −0.0380401 + 0.0658874i
\(900\) 0.236185 + 0.0344909i 0.00787283 + 0.00114970i
\(901\) −1.77284 3.07065i −0.0590619 0.102298i
\(902\) −6.39691 + 2.07848i −0.212994 + 0.0692059i
\(903\) −15.2312 5.66043i −0.506862 0.188367i
\(904\) 39.1927 28.4751i 1.30353 0.947069i
\(905\) −10.4447 0.758617i −0.347194 0.0252173i
\(906\) 23.6980 10.5510i 0.787312 0.350534i
\(907\) 41.6614 + 24.0532i 1.38334 + 0.798674i 0.992554 0.121806i \(-0.0388686\pi\)
0.390790 + 0.920480i \(0.372202\pi\)
\(908\) −0.781700 0.0821600i −0.0259416 0.00272657i
\(909\) −3.33968 + 10.2785i −0.110770 + 0.340916i
\(910\) −24.0263 + 17.1119i −0.796466 + 0.567255i
\(911\) −10.4375 32.1234i −0.345810 1.06429i −0.961149 0.276032i \(-0.910981\pi\)
0.615338 0.788263i \(-0.289019\pi\)
\(912\) 2.00928 + 9.45292i 0.0665339 + 0.313018i
\(913\) 8.88147 7.99691i 0.293934 0.264659i
\(914\) 3.16028 + 0.671738i 0.104533 + 0.0222191i
\(915\) 1.72849 23.7980i 0.0571420 0.786737i
\(916\) −0.342604 + 1.05443i −0.0113200 + 0.0348393i
\(917\) −18.0215 11.4310i −0.595124 0.377484i
\(918\) 0.994023i 0.0328077i
\(919\) −3.66959 + 34.9138i −0.121049 + 1.15170i 0.750321 + 0.661073i \(0.229899\pi\)
−0.871370 + 0.490627i \(0.836768\pi\)
\(920\) −32.7462 + 31.4527i −1.07961 + 1.03697i
\(921\) 2.28202 + 21.7120i 0.0751951 + 0.715434i
\(922\) −19.0742 + 42.8414i −0.628177 + 1.41091i
\(923\) −25.1878 + 8.18401i −0.829066 + 0.269380i
\(924\) −0.256873 0.127439i −0.00845049 0.00419243i
\(925\) −48.2563 12.3079i −1.58666 0.404681i
\(926\) 20.3182 + 35.1922i 0.667699 + 1.15649i
\(927\) −3.30076 + 15.5288i −0.108411 + 0.510034i
\(928\) 0.494744 0.0519997i 0.0162408 0.00170697i
\(929\) 6.93270 + 3.08664i 0.227455 + 0.101269i 0.517300 0.855804i \(-0.326937\pi\)
−0.289845 + 0.957074i \(0.593604\pi\)
\(930\) −3.72619 + 1.34488i −0.122187 + 0.0441002i
\(931\) −14.1328 + 8.56802i −0.463182 + 0.280805i
\(932\) 0.694782i 0.0227583i
\(933\) −8.88516 0.933868i −0.290887 0.0305735i
\(934\) −8.20320 9.11057i −0.268417 0.298107i
\(935\) 2.44280 + 2.54326i 0.0798882 + 0.0831735i
\(936\) 6.51321 7.23366i 0.212891 0.236439i
\(937\) 14.4580 + 4.69770i 0.472323 + 0.153467i 0.535500 0.844535i \(-0.320123\pi\)
−0.0631767 + 0.998002i \(0.520123\pi\)
\(938\) 12.1230 + 11.8663i 0.395831 + 0.387447i
\(939\) 4.64874 + 14.3073i 0.151706 + 0.466902i
\(940\) 0.293712 0.0723917i 0.00957983 0.00236116i
\(941\) 25.4209 + 28.2328i 0.828699 + 0.920363i 0.997871 0.0652233i \(-0.0207760\pi\)
−0.169172 + 0.985587i \(0.554109\pi\)
\(942\) 1.36437 + 3.06443i 0.0444536 + 0.0998444i
\(943\) −13.0320 + 7.52404i −0.424381 + 0.245016i
\(944\) −20.1749 14.6580i −0.656639 0.477076i
\(945\) −2.35515 5.42709i −0.0766131 0.176543i
\(946\) −16.1420 + 11.7279i −0.524823 + 0.381306i
\(947\) 18.2359 40.9585i 0.592587 1.33097i −0.329561 0.944134i \(-0.606901\pi\)
0.922148 0.386838i \(-0.126433\pi\)
\(948\) −0.161749 + 0.760969i −0.00525336 + 0.0247151i
\(949\) −3.38437 + 5.86190i −0.109861 + 0.190285i
\(950\) −4.56887 16.2634i −0.148234 0.527654i
\(951\) −30.7240 −0.996294
\(952\) −3.18825 + 4.02448i −0.103332 + 0.130434i
\(953\) 3.29626 + 4.53691i 0.106776 + 0.146965i 0.859061 0.511873i \(-0.171048\pi\)
−0.752285 + 0.658838i \(0.771048\pi\)
\(954\) 6.67280 + 2.97092i 0.216040 + 0.0961871i
\(955\) 9.16153 8.79966i 0.296460 0.284750i
\(956\) −1.12358 + 0.500249i −0.0363391 + 0.0161792i
\(957\) −3.62273 + 2.09158i −0.117106 + 0.0676113i
\(958\) −9.14994 + 12.5938i −0.295621 + 0.406888i
\(959\) 9.27352 + 33.1845i 0.299458 + 1.07158i
\(960\) −14.4333 9.79200i −0.465833 0.316035i
\(961\) −19.7175 + 21.8984i −0.636047 + 0.706402i
\(962\) 36.9054 33.2297i 1.18988 1.07137i
\(963\) 5.08939 4.58251i 0.164003 0.147669i
\(964\) 0.654707 0.727126i 0.0210867 0.0234192i
\(965\) −34.7714 + 1.12057i −1.11933 + 0.0360723i
\(966\) −26.6557 6.83745i −0.857632 0.219992i
\(967\) −7.93489 + 10.9214i −0.255169 + 0.351210i −0.917313 0.398167i \(-0.869647\pi\)
0.662144 + 0.749376i \(0.269647\pi\)
\(968\) −14.1429 + 8.16543i −0.454571 + 0.262447i
\(969\) 1.49827 0.667071i 0.0481312 0.0214294i
\(970\) −26.4452 54.5930i −0.849103 1.75288i
\(971\) 37.2539 + 16.5865i 1.19553 + 0.532286i 0.905342 0.424682i \(-0.139614\pi\)
0.290192 + 0.956969i \(0.406281\pi\)
\(972\) −0.0280597 0.0386209i −0.000900015 0.00123876i
\(973\) −28.0713 4.13860i −0.899926 0.132677i
\(974\) −36.7335 −1.17702
\(975\) −10.7993 + 13.6702i −0.345855 + 0.437797i
\(976\) 21.8389 37.8260i 0.699045 1.21078i
\(977\) −4.98800 + 23.4667i −0.159580 + 0.750767i 0.823460 + 0.567375i \(0.192041\pi\)
−0.983040 + 0.183392i \(0.941292\pi\)
\(978\) −3.77320 + 8.47475i −0.120654 + 0.270993i
\(979\) −29.4822 + 21.4201i −0.942257 + 0.684589i
\(980\) −0.192484 + 0.722001i −0.00614868 + 0.0230635i
\(981\) −0.0921879 0.0669784i −0.00294333 0.00213846i
\(982\) 21.0093 12.1297i 0.670435 0.387076i
\(983\) −17.2190 38.6745i −0.549201 1.23352i −0.948521 0.316713i \(-0.897421\pi\)
0.399321 0.916811i \(-0.369246\pi\)
\(984\) −3.87014 4.29822i −0.123376 0.137022i
\(985\) −12.1210 4.93521i −0.386209 0.157249i
\(986\) −0.565976 1.74189i −0.0180243 0.0554732i
\(987\) −5.35811 5.24462i −0.170550 0.166938i
\(988\) 0.373490 + 0.121354i 0.0118823 + 0.00386079i
\(989\) −29.8695 + 33.1735i −0.949796 + 1.05486i
\(990\) −7.15076 1.28072i −0.227266 0.0407041i
\(991\) 0.0730054 + 0.0810807i 0.00231909 + 0.00257561i 0.744303 0.667842i \(-0.232782\pi\)
−0.741984 + 0.670417i \(0.766115\pi\)
\(992\) −0.332426 0.0349394i −0.0105545 0.00110933i
\(993\) 9.83561i 0.312124i
\(994\) −15.4144 + 24.3016i −0.488916 + 0.770801i
\(995\) 0.698600 + 21.6777i 0.0221471 + 0.687231i
\(996\) −0.229572 0.102212i −0.00727427 0.00323872i
\(997\) 21.2135 2.22962i 0.671837 0.0706129i 0.237533 0.971379i \(-0.423661\pi\)
0.434304 + 0.900767i \(0.356994\pi\)
\(998\) 3.24674 15.2747i 0.102774 0.483512i
\(999\) 4.98012 + 8.62582i 0.157564 + 0.272909i
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 525.2.bo.a.319.29 yes 320
7.2 even 3 inner 525.2.bo.a.394.29 yes 320
25.4 even 10 inner 525.2.bo.a.4.29 320
175.79 even 30 inner 525.2.bo.a.79.29 yes 320
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
525.2.bo.a.4.29 320 25.4 even 10 inner
525.2.bo.a.79.29 yes 320 175.79 even 30 inner
525.2.bo.a.319.29 yes 320 1.1 even 1 trivial
525.2.bo.a.394.29 yes 320 7.2 even 3 inner